  
 ******************** TIME CONTROL ********************
 Entering TSSCS program.
 Copyright (c) 2019 by Thomas A. Manz. Rights reserved.
 Computing atomic polarizabilities and C6 coefficients.
 ******************************************************
  
 2020/11/23  17:49:00
  
 **************** THREAD INFORMATION ******************
 Job running using OpenMP.
 The number of parallel threads is:            6
 ******************************************************
  
  
 prefix: TSSCS
 ignore_PBC:  F
 Romberg_integration_order:            4
 dipole_interaction_cutoff_length:     50.000000
 use_CR:  T
 CR_convergence_tol:      0.000010
 cutoff_polarizability_multiple:    5.0000000000000000     
  
 natoms:            7
 vector1:     0.000000     0.000000     0.000000
 vector2:     0.000000     0.000000     0.000000
 vector3:     0.000000     0.000000     0.000000
 Atomic Rcubed moments read.
  
 ******************** TIME CONTROL ********************
 Input file reading took    4.0000001899898052E-003 seconds
 ******************************************************
  
  
 ******************** TIME CONTROL ********************
 Unscreened polarizability and C6 took    1.0999999940395355E-002 seconds
 ******************************************************
  
 Characteristic excitation frequency wp
     0.465600     0.465600     0.428000     0.428000     0.428000     0.827500     0.827500
  
 Initializing the atom_image_pair_matrices ...
  
  
 Not periodic along directions A, B, and C.
 The parallelepiped enclosing the reference unit cell or molecule in atomic units is
   5.7704016099197322        0.0000000000000000        0.0000000000000000     
   0.0000000000000000        5.2813707595823560        0.0000000000000000     
   0.0000000000000000        0.0000000000000000        4.3153503929095125     
  
 The reciprocal space vectors in atomic units are
  0.17329816321292588        0.0000000000000000        0.0000000000000000     
   0.0000000000000000       0.18934478292129575        0.0000000000000000     
   0.0000000000000000        0.0000000000000000       0.23173089296365945     
  
 Origin =
  -3.7519992188542761       -2.5868451966385790       -2.1574011861863509     
  
 Adjusted coords (for up to the first 100 atoms) in atomic units =
  -2.5365149443510737      -0.10282943969143510       -1.1338355934142896E-005
  0.38748453459247179        3.2862334948711158E-003  -1.3228081923166712E-005
  -3.2519085120068039       0.88798791140906719        1.6579492067231612     
  -3.2210133818126430       -2.0410401283912076       -4.7810067521680821E-004
  -3.2519992188542761       0.88887230317191923       -1.6574011861863511     
   1.3089848466904646        2.1945255629437770        1.1338355934142896E-005
   1.5184023910654560       -2.0868451966385790       -1.8897259890238161E-006
  
 inverse_coords (for up to the first 100 atoms) in atomic units =
  0.21064119218560076       0.47033542427223513       0.49993387590847588     
  0.71736493112206956       0.49042787337624344       0.49993343800058498     
   8.6664800936520708E-002  0.65794152053101296       0.88413455351817016     
   9.2018870251393006E-002  0.10334534216464156       0.49982571265942671     
   8.6649081606462938E-002  0.65810897549736758       0.11586544648182967     
  0.87705924260878965       0.90532760853935212       0.49993913080316660     
  0.91335091839353699        9.4672391460647876E-002  0.49993606544793034     
  
 The unit cell has been divided into the following number of regions along each real-space direction:
           1           1           1
  
 Sorting atoms in the reference unit cell according to spatial regions ...
  
 sorted_coords (for up to the first 100 atoms) in atomic units =
 atom number, X, Y, Z, atom number, region A, region B, region C
   1.0000000000000000       -2.5365149443510737      -0.10282943969143510       -1.1338355934142896E-005                    1                    1                    1                    1
   2.0000000000000000       0.38748453459247179        3.2862334948711158E-003  -1.3228081923166712E-005                    2                    1                    1                    1
   3.0000000000000000       -3.2519085120068039       0.88798791140906719        1.6579492067231612                         3                    1                    1                    1
   4.0000000000000000       -3.2210133818126430       -2.0410401283912076       -4.7810067521680821E-004                    4                    1                    1                    1
   5.0000000000000000       -3.2519992188542761       0.88887230317191923       -1.6574011861863511                         5                    1                    1                    1
   6.0000000000000000        1.3089848466904646        2.1945255629437770        1.1338355934142896E-005                    6                    1                    1                    1
   7.0000000000000000        1.5184023910654560       -2.0868451966385790       -1.8897259890238161E-006                    7                    1                    1                    1
  
 The computed periodic sum limits along each lattice direction are:            0           0           0
  
 Counting the numbers of interacting spatial regions and their periodic images ...
  
 region_start_end (for up to three regions along each lattice direction) = 
 column 1 = sorted atom start index
 column 2 = sorted atom end index
 column 3 = region pair start index
 column 4 = region pair end index
 column 5 = whether region has any active pairs (1) or not (0)
 region A =            1 region B =            1 region C =            1 region_start_end =                     1                    7                    1                    1                    1
  
  
 Preparing the lists of interacting spatial regions and their periodic images ...
 num_region_pairs =           1
 Total number of interacting image region pairs =           1
  
 region_pairs entry (for up to the first 100 rows) =
 region A, region B, region C, region i, region j, region k, start image index, end image index
                    1                    1                    1                    1                    1                    1                    1                    1
  
 Counting the numbers of interacting atom pairs ...
  
 The total number of symmetry unique atom image pairs to include in the atom image pair matrix is
 num_sym_unique_atom_image_pairs_large:           21
 num_sym_unique_atom_image_pairs_small:           21
  
 The atom image pair matrices have been initialized.
  
  
 The atom image pair matrix large is:
   1.0000000000000000        2.0000000000000000       -7.9686178184617609E-002  -4.3407281652960584E-003   7.7300426779049680E-008   3.9764323809594132E-002   2.8053311514991559E-009   3.9921854375023470E-002
   1.0000000000000000        3.0000000000000000        7.3024859879428597E-002   5.7364890798422191E-002   9.5990169642182210E-002   3.4993514103355230E-002 -0.13294601729257391      -0.10801837398278377     
   1.0000000000000000        4.0000000000000000        7.6836437224401991E-002 -0.10846179275678870       -2.6119904423123526E-005 -0.19197722060536695       -7.3960545663856022E-005  0.11514078338096505     
   1.0000000000000000        5.0000000000000000        7.3014499600442262E-002   5.7423676746612591E-002  -9.5969800950571837E-002   3.4851560673599520E-002  0.13301958164072172      -0.10786606027404166     
   1.0000000000000000        6.0000000000000000       -1.3472011236403866E-002  -1.4694875196721189E-002  -1.4505004685572247E-007   2.3465443157148153E-003  -8.6654913245024906E-008   1.1125466920689052E-002
   1.0000000000000000        7.0000000000000000       -1.5441328669122227E-002   1.2873855161783564E-002  -6.1310144823610214E-008   4.5711634470872974E-003   2.9998217800476789E-008   1.0870165222034925E-002
   2.0000000000000000        3.0000000000000000       -1.9915085193877829E-002   8.3787559282480564E-003   1.5702086846028321E-002   1.2515767343728366E-002  -3.8170272904204014E-003   7.3993178501494689E-003
   2.0000000000000000        4.0000000000000000       -1.7818049979951154E-002  -1.8036136563678393E-002  -4.1013537435480539E-006   3.8000089407393906E-003  -2.3235445250605318E-006   1.4018041039211773E-002
   2.0000000000000000        5.0000000000000000       -1.9915571155511416E-002   8.3869392485576531E-003  -1.5696285874259516E-002   1.2511372829190596E-002   3.8193362184261877E-003   7.4041983263208244E-003
   2.0000000000000000        6.0000000000000000        4.0884259592917173E-002  -7.9809087534983447E-002  -8.9475620623779545E-007 -0.11533130624934092       -2.1276444116583869E-006   7.4447046656423779E-002
   2.0000000000000000        7.0000000000000000        2.3888105567604359E-002   9.3553784408195798E-002  -5.0750210791216409E-007  -9.8395824711596316E-002   9.3795150596910883E-007   7.4507719143991985E-002
   3.0000000000000000        4.0000000000000000        2.6212851318968982E-002   6.2821486204574185E-004   3.5569774955148770E-004  -3.3338741837766528E-002  -3.3722100395196575E-002   7.1258905187975442E-003
   3.0000000000000000        5.0000000000000000        2.7441740140972469E-002   6.0083989884038691E-010  -2.2523895838562256E-006   2.7441734344408060E-002   2.1960798442537550E-005  -5.4883474485380536E-002
   3.0000000000000000        6.0000000000000000       -1.1586545909972469E-002  -5.5759026729229723E-003   7.0755712098385277E-003   6.2806479401057262E-003   2.0269055785179656E-003   5.3058979698667472E-003
   3.0000000000000000        7.0000000000000000       -4.9024962724636542E-003   6.1542875942897403E-003   3.4299429561991594E-003   1.1283468554344903E-003  -2.1389607663191584E-003   3.7741494170291630E-003
   4.0000000000000000        5.0000000000000000        2.6212117789769503E-002   6.3022167827383644E-004  -3.5640274994989794E-004  -3.3372775975916279E-002   3.3700198136279003E-002   7.1606581861468005E-003
   4.0000000000000000        6.0000000000000000       -2.5182350524750531E-003  -6.2745426568799958E-003  -7.2505216603799765E-007  -1.6742431409046987E-003  -6.7792655184181900E-007   4.1924781933797518E-003
   4.0000000000000000        7.0000000000000000       -1.8781655064820872E-002   2.7229152856467128E-004  -2.8308702998583063E-006   9.3895118656114815E-003   2.7359534064622279E-008   9.3921431992093941E-003
   5.0000000000000000        6.0000000000000000       -1.1592025227046047E-002  -5.5740180126876687E-003  -7.0757279523562889E-003   6.2838092464701624E-003  -2.0255381587590457E-003   5.3082159805758859E-003
   5.0000000000000000        7.0000000000000000       -4.9007170137607692E-003   6.1543089271607950E-003  -3.4277942333993737E-003   1.1263336075220786E-003   2.1382156304964976E-003   3.7743834062386890E-003
   6.0000000000000000        7.0000000000000000        1.2605897868023585E-002   1.8586961131620580E-003   5.7427832897092256E-009  -2.5302711378737887E-002  -1.1740651686351935E-007   1.2696813510714304E-002
  
  
 The atom image pair matrix small is:
   1.0000000000000000        2.0000000000000000        0.0000000000000000        0.0000000000000000       -1.9960540268483218      -0.10873062469779310        1.9362934910988210E-006  0.99605402684957289        7.0270562212429689E-008  0.99999999999874856        2.9259243819623020        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000     
   1.0000000000000000        3.0000000000000000        0.0000000000000000        0.0000000000000000       0.63808562820710923       0.50125001872759312       0.83875474460298405       0.30577064395167552       -1.1616721086740827      -0.94385627215878443        2.0596941882046425        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000     
   1.0000000000000000        4.0000000000000000        0.0000000000000000        0.0000000000000000       0.66732588646936630      -0.94199268750704401       -2.2685185575106794E-004  -1.6673257317781456       -6.4234871477377884E-004  0.99999984530878006        2.0555288863317975        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000     
   1.0000000000000000        5.0000000000000000        0.0000000000000000        0.0000000000000000       0.63799308252437315       0.50176209845903852      -0.83857411161844064       0.30452930235243703        1.1623112312140336      -0.94252238487680962        2.0596920161885666        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000     
   1.0000000000000000        6.0000000000000000        0.0000000000000000        0.0000000000000000       -1.2109164794077443       -1.3208322221752911       -1.3037659262177470E-005  0.21091647948462688       -7.7888787819968401E-006  0.99999999992311761        4.4794763814030523        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000     
   1.0000000000000000        7.0000000000000000        0.0000000000000000        0.0000000000000000       -1.4205238240186224        1.1843292993852350       -5.6402219810350788E-006  0.42052382403176447        2.7596837018882759E-006  0.99999999998685740        4.5142743736912259        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000     
   2.0000000000000000        3.0000000000000000        0.0000000000000000        0.0000000000000000       -1.3684933292845880       0.57575809914366083        1.0789911715387892       0.86003870704180896      -0.26229244483690906       0.50845462224277982        4.0959392380459159        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000     
   2.0000000000000000        4.0000000000000000        0.0000000000000000        0.0000000000000000       -1.2710798362278095       -1.2866374005762882       -2.9257679995999566E-004  0.27107987391965316       -1.6575386182579680E-004  0.99999996230815735        4.1473518903884870        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000     
   2.0000000000000000        5.0000000000000000        0.0000000000000000        0.0000000000000000       -1.3685660346996413       0.57633698280799239       -1.0786235328481948       0.85976142827094870       0.26245864518877893       0.50880460642869274        4.0959784572283136        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000     
   2.0000000000000000        6.0000000000000000        0.0000000000000000        0.0000000000000000       0.54917235022767352       -1.0720248968066417       -1.2018693099814223E-005  -1.5491723499072645       -2.8579299066030640E-005  0.99999999967959152        2.3771185550417755        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000     
   2.0000000000000000        7.0000000000000000        0.0000000000000000        0.0000000000000000       0.32061249277819681        1.2556253966251074       -6.8114030829036585E-006  -1.3206124927099068        1.2588648755874434E-005  0.99999999993171018        2.3764731417480212        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000     
   3.0000000000000000        4.0000000000000000        0.0000000000000000        0.0000000000000000       0.99974727356494453        2.3959854191394816E-002   1.3566164588510444E-002  -1.2715257814121532       -1.2861469177366531       0.27177850784720903        3.3660868825582306        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000     
   3.0000000000000000        5.0000000000000000        0.0000000000000000        0.0000000000000000       0.99999999775434778        2.1895109216999429E-008  -8.2078963186272747E-005  0.99999978652268517        8.0026989106394902E-004  -1.9999997842770334        3.3153505121090561        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000     
   3.0000000000000000        6.0000000000000000        0.0000000000000000        0.0000000000000000       -1.4707563677662576      -0.70778594638700576       0.89814872295088866       0.79724389161208375       0.25728843691893089       0.67351247615417398        5.0256886930701103        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000     
   3.0000000000000000        7.0000000000000000        0.0000000000000000        0.0000000000000000      -0.98716313223352259        1.2392229347258543       0.69065085292198414       0.22720311330227860      -0.43069960535495555       0.75996001893124432        5.8612541295292289        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000     
   4.0000000000000000        5.0000000000000000        0.0000000000000000        0.0000000000000000       0.99974579188875412        2.4037030348507248E-002  -1.3593413257858077E-002  -1.2728575620314957        1.2853456383334234       0.27311177014274246        3.3661166186014806        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000     
   4.0000000000000000        6.0000000000000000        0.0000000000000000        0.0000000000000000      -0.60065548090331866       -1.4966190043746830       -1.7294118634537622E-004 -0.39934450041142755       -1.6170067151335168E-004  0.99999998131474621        6.2016853286349400        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000     
   4.0000000000000000        7.0000000000000000        0.0000000000000000        0.0000000000000000       -1.9997197761631771        2.8991414903171465E-002  -3.0140833184520141E-004  0.99971980644833336        2.9130234341334962E-006  0.99999996971484362        4.7396371379315232        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000     
   5.0000000000000000        6.0000000000000000        0.0000000000000000        0.0000000000000000       -1.4711701250670872      -0.70741122592791084      -0.89799662895155075       0.79749243587377694      -0.25706562640987818       0.67367768919330995        5.0253678827938097        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000     
   5.0000000000000000        7.0000000000000000        0.0000000000000000        0.0000000000000000      -0.98699008016519607        1.2394598268628638      -0.69034773803770522       0.22684029591169486       0.43063037727508208       0.76014978425350077        5.8616208156541925        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000     
   6.0000000000000000        7.0000000000000000        0.0000000000000000        0.0000000000000000       0.99283949134370220       0.14639075477799843        4.5230114506281932E-007  -1.9928394913151317       -9.2469277241168149E-006  0.99999999997142996        4.2864893898240126        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000        0.0000000000000000     
  
  
 ******************** TIME CONTROL ********************
 Atom image pair matrix initialization took    7.0000002160668373E-003 seconds
 ******************************************************
  
 The multibody polarizability will be computed using the TS-SCS scheme with the failproof conjugate residual (FCR) algorithm that avoids matrix inversion.
 This method optimizes the atomic polarizabilities by minimizing the polarization energy error.
  
 ###########################################################################################        
 Computing multibody polarizability for imaginary frequency point number            1
  
 Starting direction:           1
  
 The CR_zz is:   7.5567511495200523E-002
  
 The CR_pMMp is:   7.5618074335699323E-002   0.0000000000000000     
 The CR_qMMq is:   7.1264059856466364E-008   1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -1.3426622854171045E-013
 The CR_zMMz is:   7.5592646146452253E-002
 The CR_zMp is (should equal CR_zMMz):   7.5592646146452266E-002
 The CR_zMq is:   1.4251081390977888E-007
 The CR_gamma is:  0.99966372868562914     
 The CR_tau is:   1.9997571594547279     
 The CR_zz is:   2.0424479511936614E-013
 The refined CR_zMp is (should equal zero):   1.7646786251338398E-017
 The refined CR_zMq is (should equal zero):   9.8536824367940486E-018
  
 Conjugate residual converged in            1  iterations.
  
 Starting direction:           2
  
 The CR_zz is:   7.5567511495200523E-002
  
 The CR_pMMp is:   7.5156329593322677E-002   0.0000000000000000     
 The CR_qMMq is:   1.9482439128438974E-007   1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   1.1836801291315369E-014
 The CR_zMMz is:   7.5361250721808770E-002
 The CR_zMp is (should equal CR_zMMz):   7.5361250721808770E-002
 The CR_zMq is:   3.9005092325298189E-007
 The CR_gamma is:   1.0027265984062146     
 The CR_tau is:   2.0020641187766648     
 The CR_zz is:   3.2539317695687502E-013
 The refined CR_zMp is (should equal zero):   2.4580616145594726E-018
 The refined CR_zMq is (should equal zero):  -1.4330516006049364E-018
  
 Conjugate residual converged in            1  iterations.
  
 Starting direction:           3
  
 The CR_zz is:   7.5567511495200523E-002
  
 The CR_pMMp is:   7.5931974405855238E-002   0.0000000000000000     
 The CR_qMMq is:   1.2236159258992787E-007   1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -2.9297528960726896E-014
 The CR_zMMz is:   7.5749278579080967E-002
 The CR_zMp is (should equal CR_zMMz):   7.5749278579080967E-002
 The CR_zMq is:   2.4465364697957005E-007
 The CR_gamma is:  0.99759395395413053     
 The CR_tau is:   1.9994316991237704     
 The CR_zz is:   6.5152542108737624E-014
 The refined CR_zMp is (should equal zero):  -9.4980190791691913E-018
 The refined CR_zMq is (should equal zero):   2.8202814780132071E-018
  
 Conjugate residual converged in            1  iterations.
  
 ###########################################################################################        
 Computing multibody polarizability for imaginary frequency point number            2
  
 Starting direction:           1
  
 The CR_zz is:  0.34416114383739960     
  
 The CR_pMMp is:  0.34523340805858693        0.0000000000000000     
 The CR_qMMq is:   6.7720252685947691E-006   1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -5.4252157119492824E-014
 The CR_zMMz is:  0.34468330783228973     
 The CR_zMp is (should equal CR_zMMz):  0.34468330783228984     
 The CR_zMq is:   1.3536845927728474E-005
 The CR_gamma is:  0.99840658460781484     
 The CR_tau is:   1.9989361218874249     
 The CR_zz is:   4.0293742227196637E-010
 The refined CR_zMp is (should equal zero):   1.2604216422981780E-016
 The refined CR_zMq is (should equal zero):   8.2717707249459795E-017
  
 The CR_zMMMp is:   1.2107795867364696E-009
 The CR_zMMMq is:  -8.0638301760850781E-010
 The CR_beta is:   3.5071333146617068E-009
 The CR_xi is:  -1.1907560672404823E-004
 The CR_kappa is:  0.55431976955763229       0.83230378653324266     
 The CR_chi is:  0.55521534536111583        0.0000000000000000     
 The CR_sigma is: -0.27765697476612056        0.0000000000000000     
 The CR_pMMp is:   4.0320290829595433E-010  0.34523340805858693     
 The CR_qMMq is:   4.7030478608943811E-016   6.7720252685947691E-006
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   2.2291283916952791E-017
 The CR_zMMz is:   4.0305793294961133E-010
 The CR_zMp is (should equal CR_zMMz):   4.0305793295926008E-010
 The CR_zMq is:   3.3883941689892848E-015
 The CR_gamma is:  0.99964044074655378     
 The CR_tau is:   7.2046771991491330     
 The CR_zz is:   2.3596546857077064E-019
 The refined CR_zMp is (should equal zero):   5.5083323507397710E-026
 The refined CR_zMq is (should equal zero):  -1.1980261340731924E-029
  
 Conjugate residual converged in            2  iterations.
  
 Starting direction:           2
  
 The CR_zz is:  0.34416114383739960     
  
 The CR_pMMp is:  0.33578080613001565        0.0000000000000000     
 The CR_qMMq is:   1.8529090461259013E-005   1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -2.8479584976855283E-014
 The CR_zMMz is:  0.33990819752329299     
 The CR_zMp is (should equal CR_zMMz):  0.33990819752329299     
 The CR_zMq is:   3.7233848628881347E-005
 The CR_gamma is:   1.0122919217475439     
 The CR_tau is:   2.0094806437871631     
 The CR_zz is:   6.5068794142764744E-010
 The refined CR_zMp is (should equal zero):   8.1433169505449745E-017
 The refined CR_zMq is (should equal zero):   7.2026586702689674E-017
  
 The CR_zMMMp is:   1.9277480029348673E-009
 The CR_zMMMq is:  -1.2949259539244018E-009
 The CR_beta is:   5.7410905201902328E-009
 The CR_xi is:  -6.9886104589529557E-005
 The CR_kappa is:  0.55760878664577940       0.83010387365402749     
 The CR_chi is:  0.55086805011033457        0.0000000000000000     
 The CR_sigma is: -0.27496757543016370        0.0000000000000000     
 The CR_pMMp is:   6.5072672181474664E-010  0.33578080613001565     
 The CR_qMMq is:   8.3967883418150532E-016   1.8529090461259013E-005
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   1.0379570703447959E-016
 The CR_zMMz is:   6.5068504917653180E-010
 The CR_zMp is (should equal CR_zMMz):   6.5068504918120765E-010
 The CR_zMq is:   6.1169978521563641E-015
 The CR_gamma is:  0.99993595985512507     
 The CR_tau is:   7.2849256205428077     
 The CR_zz is:   3.3688340847257090E-019
 The refined CR_zMp is (should equal zero):  -2.5536437074636937E-026
 The refined CR_zMq is (should equal zero):  -4.0071087885979951E-029
  
 Conjugate residual converged in            2  iterations.
  
 Starting direction:           3
  
 The CR_zz is:  0.34416114383739960     
  
 The CR_pMMp is:  0.35183266290325937        0.0000000000000000     
 The CR_qMMq is:   1.1464530338039620E-005   1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   7.9423777235425281E-015
 The CR_zMMz is:  0.34795263721758934     
 The CR_zMp is (should equal CR_zMMz):  0.34795263721758940     
 The CR_zMq is:   2.2900283753413955E-005
 The CR_gamma is:  0.98897195714106612     
 The CR_tau is:   1.9974899170034204     
 The CR_zz is:   1.3003097092024496E-010
 The refined CR_zMp is (should equal zero):  -5.0759508155398016E-018
 The refined CR_zMq is (should equal zero):  -1.5777254254797944E-017
  
 Conjugate residual converged in            1  iterations.
  
 ###########################################################################################        
 Computing multibody polarizability for imaginary frequency point number            3
  
 Starting direction:           1
  
 The CR_zz is:  0.88331163106205335     
  
 The CR_pMMp is:  0.89069391995456715        0.0000000000000000     
 The CR_qMMq is:   1.1577586334530938E-004   1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   1.2692605102447837E-014
 The CR_zMMz is:  0.88676310823020499     
 The CR_zMp is (should equal CR_zMMz):  0.88676310823020499     
 The CR_zMq is:   2.3126107855651586E-004
 The CR_gamma is:  0.99558679852158116     
 The CR_tau is:   1.9974895619371369     
 The CR_zz is:   4.5501598504377042E-008
 The refined CR_zMp is (should equal zero):  -1.6171450317410868E-016
 The refined CR_zMq is (should equal zero):  -1.2818551753752812E-016
  
 The CR_zMMMp is:   1.3699867147491665E-007
 The CR_zMMMq is:  -9.1069227557927231E-008
 The CR_beta is:   1.5381116723229089E-007
 The CR_xi is:  -7.8659942518681178E-004
 The CR_kappa is:  0.55360474648227398       0.83277955346676058     
 The CR_chi is:  0.55613126504286037        0.0000000000000000     
 The CR_sigma is: -0.27807284553578066        0.0000000000000000     
 The CR_pMMp is:   4.5548112303132996E-008  0.89069391995456715     
 The CR_qMMq is:   3.5082334372439145E-013   1.1577586334530938E-004
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -4.7921014205160213E-017
 The CR_zMMz is:   4.5515762571709612E-008
 The CR_zMp is (should equal CR_zMMz):   4.5515762571611118E-008
 The CR_zMq is:   2.5241798248805848E-012
 The CR_gamma is:  0.99928976789846780     
 The CR_tau is:   7.1950167228996964     
 The CR_zz is:   1.1724183803807304E-015
 The refined CR_zMp is (should equal zero):   2.9190125699653359E-024
 The refined CR_zMq is (should equal zero):   4.8971719704768373E-027
  
 Conjugate residual converged in            2  iterations.
  
 Starting direction:           2
  
 The CR_zz is:  0.88331163106205335     
  
 The CR_pMMp is:  0.83004546901582621        0.0000000000000000     
 The CR_qMMq is:   3.1713628060010693E-004   1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -6.8484029462716841E-015
 The CR_zMMz is:  0.85563402185190340     
 The CR_zMp is (should equal CR_zMMz):  0.85563402185190318     
 The CR_zMq is:   6.4212262157999913E-004
 The CR_gamma is:   1.0308278929182242     
 The CR_tau is:   2.0247529559372106     
 The CR_zz is:   7.5531191470243239E-008
 The refined CR_zMp is (should equal zero):   1.2744940556089651E-016
 The refined CR_zMq is (should equal zero):   1.1467431224508281E-016
  
 The CR_zMMMp is:   2.1930349973365115E-007
 The CR_zMMMq is:  -1.4892991583260113E-007
 The CR_beta is:   2.6420661026398517E-007
 The CR_xi is:  -4.6960857190727522E-004
 The CR_kappa is:  0.56181743173281795       0.82726124857939554     
 The CR_chi is:  0.54521930644604688        0.0000000000000000     
 The CR_sigma is: -0.27124779680708944        0.0000000000000000     
 The CR_pMMp is:   7.5466994731404455E-008  0.83004546901582621     
 The CR_qMMq is:   6.1834528524784699E-013   3.1713628060010693E-004
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   3.7970684940516403E-017
 The CR_zMMz is:   7.5482122867994028E-008
 The CR_zMp is (should equal CR_zMMz):   7.5482122868050647E-008
 The CR_zMq is:   4.5808452702362785E-012
 The CR_gamma is:   1.0002004603032097     
 The CR_tau is:   7.4082319046067768     
 The CR_zz is:   1.4688745025858367E-015
 The refined CR_zMp is (should equal zero):   7.5033992506661454E-024
 The refined CR_zMq is (should equal zero):  -1.2763992679055027E-026
  
 Conjugate residual converged in            2  iterations.
  
 Starting direction:           3
  
 The CR_zz is:  0.88331163106205335     
  
 The CR_pMMp is:  0.93535196487466377        0.0000000000000000     
 The CR_qMMq is:   1.9048170914504962E-004   1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   8.7724289125700302E-016
 The CR_zMMz is:  0.90856969123515774     
 The CR_zMp is (should equal CR_zMMz):  0.90856969123515752     
 The CR_zMq is:   3.7981293026955007E-004
 The CR_gamma is:  0.97136663561390491     
 The CR_tau is:   1.9939601128858357     
 The CR_zz is:   1.5032877995430321E-008
 The refined CR_zMp is (should equal zero):  -3.1704443215728462E-018
 The refined CR_zMq is (should equal zero):  -1.1947227667454495E-017
  
 The CR_zMMMp is:   4.5821138514244576E-008
 The CR_zMMMq is:  -2.9944428356935857E-008
 The CR_beta is:   4.8988124508173309E-008
 The CR_xi is:  -1.5720369420947142E-004
 The CR_kappa is:  0.54706234261220854       0.83709186670021030     
 The CR_chi is:  0.56330588919232871        0.0000000000000000     
 The CR_sigma is: -0.28124567497027431        0.0000000000000000     
 The CR_pMMp is:   1.5372365939209836E-008  0.93535196487466377     
 The CR_qMMq is:   1.1028523604765775E-013   1.9048170914504962E-004
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -9.7518984519955687E-018
 The CR_zMMz is:   1.5198870519918204E-008
 The CR_zMp is (should equal CR_zMMz):   1.5198870519917910E-008
 The CR_zMq is:   7.8198150406310503E-013
 The CR_gamma is:  0.98871381152530358     
 The CR_tau is:   7.0905366129441481     
 The CR_zz is:   1.2431751710850462E-016
 The refined CR_zMp is (should equal zero):  -7.4175644284845475E-024
 The refined CR_zMq is (should equal zero):   1.6853135015992277E-027
  
 Conjugate residual converged in            2  iterations.
  
 ###########################################################################################        
 Computing multibody polarizability for imaginary frequency point number            4
  
 Starting direction:           1
  
 The CR_zz is:   1.7915176223292644     
  
 The CR_pMMp is:   1.8242063685170335        0.0000000000000000     
 The CR_qMMq is:   9.8199189770865241E-004   1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -2.2679034771457531E-016
 The CR_zMMz is:   1.8058129622678918     
 The CR_zMp is (should equal CR_zMMz):   1.8058129622678918     
 The CR_zMq is:   1.9597390131406330E-003
 The CR_gamma is:  0.98991703648963003     
 The CR_tau is:   1.9956773754584163     
 The CR_zz is:   1.5994561444157196E-006
 The refined CR_zMp is (should equal zero):   5.0638997116132507E-016
 The refined CR_zMq is (should equal zero):   1.0969066115387719E-017
  
 The CR_zMMMp is:   4.8241356204015217E-006
 The CR_zMMMq is:  -3.1935942669869191E-006
 The CR_beta is:   2.6445119936310959E-006
 The CR_xi is:  -3.2521594877093661E-003
 The CR_kappa is:  0.55205812699052748       0.83380562748383436     
 The CR_chi is:  0.55798354069258627        0.0000000000000000     
 The CR_sigma is: -0.27858803128532833        0.0000000000000000     
 The CR_pMMp is:   1.5989556155944809E-006   1.8242063685170335     
 The CR_qMMq is:   5.1031294503026923E-011   9.8199189770865241E-004
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   4.1304130930198184E-018
 The CR_zMMz is:   1.5978897885530428E-006
 The CR_zMp is (should equal CR_zMMz):   1.5978897885530981E-006
 The CR_zMq is:   3.6640295408519597E-010
 The CR_gamma is:  0.99933342299749417     
 The CR_tau is:   7.1799658945250302     
 The CR_zz is:   7.1173422494134424E-013
 The refined CR_zMp is (should equal zero):   4.6734417125150463E-024
 The refined CR_zMq is (should equal zero):  -4.4209090788045561E-025
  
 Conjugate residual converged in            2  iterations.
  
 Starting direction:           2
  
 The CR_zz is:   1.7915176223292644     
  
 The CR_pMMp is:   1.5855300538177868        0.0000000000000000     
 The CR_qMMq is:   2.6897250591010474E-003   1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   4.7875912760287724E-015
 The CR_zMMz is:   1.6800443353940646     
 The CR_zMp is (should equal CR_zMMz):   1.6800443353940648     
 The CR_zMq is:   5.5184724912059916E-003
 The CR_gamma is:   1.0596105266807765     
 The CR_tau is:   2.0516864623517916     
 The CR_zz is:   2.7839522380264034E-006
 The refined CR_zMp is (should equal zero):  -7.3572173049206987E-016
 The refined CR_zMq is (should equal zero):  -3.3412244765935922E-016
  
 The CR_zMMMp is:   7.8023128178547859E-006
 The CR_zMMMq is:  -5.3818160042144221E-006
 The CR_beta is:   4.9209491797822760E-006
 The CR_xi is:  -2.0008796014315002E-003
 The CR_kappa is:  0.56785643164353772       0.82312761649762922     
 The CR_chi is:  0.53678113371706992        0.0000000000000000     
 The CR_sigma is: -0.26504890577576296        0.0000000000000000     
 The CR_pMMp is:   2.7699610004760848E-006   1.5855300538177868     
 The CR_qMMq is:   8.8012096193785705E-011   2.6897250591010474E-003
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -9.6809397312708545E-017
 The CR_zMMz is:   2.7743862438706578E-006
 The CR_zMp is (should equal CR_zMMz):   2.7743862438699526E-006
 The CR_zMq is:   6.7213556370437130E-010
 The CR_gamma is:   1.0015975832847854     
 The CR_tau is:   7.6368543958373412     
 The CR_zz is:   6.7963343226382118E-013
 The refined CR_zMp is (should equal zero):  -6.3151638397590683E-022
 The refined CR_zMq is (should equal zero):   1.0807142098620788E-024
  
 Conjugate residual converged in            2  iterations.
  
 Starting direction:           3
  
 The CR_zz is:   1.7915176223292644     
  
 The CR_pMMp is:   2.0163801888652153        0.0000000000000000     
 The CR_qMMq is:   1.5391847362052600E-003   1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -7.5588879844000733E-015
 The CR_zMMz is:   1.8973929138280412     
 The CR_zMp is (should equal CR_zMMz):   1.8973929138280412     
 The CR_zMq is:   3.0616277270918502E-003
 The CR_gamma is:  0.94098966271626672     
 The CR_tau is:   1.9891229785971336     
 The CR_zz is:   5.5024211171240078E-007
 The refined CR_zMp is (should equal zero):   4.9987141162444182E-016
 The refined CR_zMq is (should equal zero):   3.9326506249287726E-016
  
 The CR_zMMMp is:   1.7033131020108850E-006
 The CR_zMMMq is:  -1.0885868595701569E-006
 The CR_beta is:   8.4473806647023283E-007
 The CR_xi is:  -7.0724899614972982E-004
 The CR_kappa is:  0.53856641198253652       0.84258306408582440     
 The CR_chi is:  0.57280069517573307        0.0000000000000000     
 The CR_sigma is: -0.28525240578713018        0.0000000000000000     
 The CR_pMMp is:   5.7599195310323617E-007   2.0163801888652153     
 The CR_qMMq is:   1.7550623556506977E-011   1.5391847362052600E-003
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -8.0030671410755726E-018
 The CR_zMMz is:   5.6253311574170225E-007
 The CR_zMp is (should equal CR_zMMz):   5.6253311574193465E-007
 The CR_zMq is:   1.2237397892138237E-010
 The CR_gamma is:  0.97663363647913803     
 The CR_tau is:   6.9726285523349185     
 The CR_zz is:   8.0945925118748084E-014
 The refined CR_zMp is (should equal zero):   5.3835402269137236E-023
 The refined CR_zMq is (should equal zero):   7.3844677692059999E-026
  
 Conjugate residual converged in            2  iterations.
  
 ###########################################################################################        
 Computing multibody polarizability for imaginary frequency point number            5
  
 Starting direction:           1
  
 The CR_zz is:   3.1865172912641535     
  
 The CR_pMMp is:   3.3024337840366531        0.0000000000000000     
 The CR_qMMq is:   5.6252018581761020E-003   1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -5.6579482359567430E-015
 The CR_zMMz is:   3.2325334661387548     
 The CR_zMp is (should equal CR_zMMz):   3.2325334661387553     
 The CR_zMq is:   1.1218951537696210E-002
 The CR_gamma is:  0.97883369585310598     
 The CR_tau is:   1.9944087022210093     
 The CR_zz is:   2.9437058126469102E-005
 The refined CR_zMp is (should equal zero):   3.0756679463551251E-016
 The refined CR_zMq is (should equal zero):   7.4629983185315610E-016
  
 The CR_zMMMp is:   8.8659994391325513E-005
 The CR_zMMMq is:  -5.8177195413359114E-005
 The CR_beta is:   2.6846865127134824E-005
 The CR_xi is:  -1.0342241377311623E-002
 The CR_kappa is:  0.54878682559958625       0.83596233171616596     
 The CR_chi is:  0.56162178229538462        0.0000000000000000     
 The CR_sigma is: -0.27890975109893440        0.0000000000000000     
 The CR_pMMp is:   2.9208439487623220E-005   3.3024337840366531     
 The CR_qMMq is:   3.0018449897381983E-009   5.6252018581761020E-003
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -5.4928189587435381E-018
 The CR_zMMz is:   2.9245714819014543E-005
 The CR_zMp is (should equal CR_zMMz):   2.9245714819022176E-005
 The CR_zMq is:   2.1492949336433406E-008
 The CR_gamma is:   1.0012761835980575     
 The CR_tau is:   7.1599131233981153     
 The CR_zz is:   1.3275586697857826E-010
 The refined CR_zMp is (should equal zero):  -9.9130708470573382E-021
 The refined CR_zMq is (should equal zero):   7.3308463967506961E-025
  
 Conjugate residual converged in            2  iterations.
  
 Starting direction:           2
  
 The CR_zz is:   3.1865172912641535     
  
 The CR_pMMp is:   2.5977413454263405        0.0000000000000000     
 The CR_qMMq is:   1.5263808584005379E-002   1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   1.2318078249421986E-016
 The CR_zMMz is:   2.8466553007775572     
 The CR_zMp is (should equal CR_zMMz):   2.8466553007775577     
 The CR_zMq is:   3.1989380956915794E-002
 The CR_gamma is:   1.0958193762398487     
 The CR_tau is:   2.0957666483342035     
 The CR_zz is:   5.4977485870612677E-005
 The refined CR_zMp is (should equal zero):  -2.5203857797649399E-016
 The refined CR_zMq is (should equal zero):  -2.3322789607347879E-017
  
 The CR_zMMMp is:   1.4555474157730488E-004
 The CR_zMMMq is:  -1.0203521004981353E-004
 The CR_beta is:   5.6031268021957926E-005
 The CR_xi is:  -6.6847805046988118E-003
 The CR_kappa is:  0.57420121824122983       0.81871421202412720     
 The CR_chi is:  0.52686806387272678        0.0000000000000000     
 The CR_sigma is: -0.25588371524459913        0.0000000000000000     
 The CR_pMMp is:   5.4026651656796227E-005   2.5977413454263405     
 The CR_qMMq is:   4.9821457103089539E-009   1.5263808584005379E-002
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   3.2024124088884079E-017
 The CR_zMMz is:   5.4340284053779858E-005
 The CR_zMp is (should equal CR_zMMz):   5.4340284053780204E-005
 The CR_zMq is:   4.0033340032110345E-008
 The CR_gamma is:   1.0058051422282528     
 The CR_tau is:   8.0353611395335509     
 The CR_zz is:   6.6394396854421306E-011
 The refined CR_zMp is (should equal zero):   1.1017093206951565E-020
 The refined CR_zMq is (should equal zero):  -1.8501211950852799E-023
  
 Conjugate residual converged in            2  iterations.
  
 Starting direction:           3
  
 The CR_zz is:   3.1865172912641535     
  
 The CR_pMMp is:   3.9530855842937238        0.0000000000000000     
 The CR_qMMq is:   8.1912721252124510E-003   1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   2.7570999062444464E-015
 The CR_zMMz is:   3.5311505679977886     
 The CR_zMp is (should equal CR_zMMz):   3.5311505679977886     
 The CR_zMq is:   1.6254623987458312E-002
 The CR_gamma is:  0.89326438618674120     
 The CR_tau is:   1.9843833459551594     
 The CR_zz is:   1.0841473171865357E-005
 The refined CR_zMp is (should equal zero):  -1.2820690689641090E-016
 The refined CR_zMq is (should equal zero):  -4.4390243908519304E-016
  
 The CR_zMMMp is:   3.4302727955898738E-005
 The CR_zMMMq is:  -2.1119492918880130E-005
 The CR_beta is:   8.6774564386334732E-006
 The CR_xi is:  -2.5782921866159304E-003
 The CR_kappa is:  0.52444947329733449       0.85144157166428536     
 The CR_chi is:  0.58845657783183969        0.0000000000000000     
 The CR_sigma is: -0.29130999940850782        0.0000000000000000     
 The CR_pMMp is:   1.1770189598211587E-005   3.9530855842937238     
 The CR_qMMq is:   1.1804566836762714E-009   8.1912721252124510E-003
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   3.2456024825843162E-017
 The CR_zMMz is:   1.1267764791344618E-005
 The CR_zMp is (should equal CR_zMMz):   1.1267764791343286E-005
 The CR_zMq is:   8.0333653100956886E-009
 The CR_gamma is:  0.95731378813603463     
 The CR_tau is:   6.8053029146970037     
 The CR_zz is:   1.7091279058476865E-011
 The refined CR_zMp is (should equal zero):   3.6213450229688706E-021
 The refined CR_zMq is (should equal zero):  -6.1306987892411318E-024
  
 Conjugate residual converged in            2  iterations.
  
 ###########################################################################################        
 Computing multibody polarizability for imaginary frequency point number            6
  
 Starting direction:           1
  
 The CR_zz is:   5.1966454772171584     
  
 The CR_pMMp is:   5.5620056958493400        0.0000000000000000     
 The CR_qMMq is:   2.4393163242268059E-002   1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -9.0195120480243252E-016
 The CR_zMMz is:   5.3255644962246640     
 The CR_zMp is (should equal CR_zMMz):   5.3255644962246631     
 The CR_zMq is:   4.8674463485208277E-002
 The CR_gamma is:  0.95748993932150739     
 The CR_tau is:   1.9954141659194899     
 The CR_zz is:   3.4533691731369789E-004
 The refined CR_zMp is (should equal zero):   1.3074072913223338E-015
 The refined CR_zMq is (should equal zero):   3.0267386994892199E-016
  
 The CR_zMMMp is:   1.0285760796045107E-003
 The CR_zMMMq is:  -6.6258036382539631E-004
 The CR_beta is:   1.8492898710479352E-004
 The CR_xi is:  -2.7162543752312054E-002
 The CR_kappa is:  0.54200330623503723       0.84037635380244258     
 The CR_chi is:  0.56861110036108597        0.0000000000000000     
 The CR_sigma is: -0.27838594591827853        0.0000000000000000     
 The CR_pMMp is:   3.3406163988996418E-004   5.5620056958493400     
 The CR_qMMq is:   9.4551205404340031E-008   2.4393163242268059E-002
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   5.5245684853626599E-017
 The CR_zMMz is:   3.3727099599039647E-004
 The CR_zMp is (should equal CR_zMMz):   3.3727099599040417E-004
 The CR_zMq is:   6.7476560663012935E-007
 The CR_gamma is:   1.0096070776084831     
 The CR_tau is:   7.1365098281354822     
 The CR_zz is:   1.0261306320011643E-008
 The refined CR_zMp is (should equal zero):  -1.7613031962777823E-019
 The refined CR_zMq is (should equal zero):  -3.1471426533961902E-022
  
 The CR_zMMMp is:   2.8568610332878483E-008
 The CR_zMMMq is:  -5.3190046131303310E-009
 The CR_beta is:   8.5518978899488829E-005
 The CR_xi is:  -5.6255280833111210E-002
 The CR_kappa is:  0.18367346754381494       0.98298731289901764     
 The CR_chi is:  0.18257083551153247        3.3604701448767146E-005
 The CR_sigma is: -0.32249204663494663       -4.9373377230334187E-003
 The CR_pMMp is:   8.4738421608012686E-009   3.3406163988996418E-004
 The CR_qMMq is:   7.7741779898612494E-013   9.4551205404340031E-008
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -5.9750236433324548E-017
 The CR_zMMz is:   9.1160575378610729E-009
 The CR_zMp is (should equal CR_zMMz):   9.1160575378588544E-009
 The CR_zMq is:   1.8781671441605001E-011
 The CR_gamma is:   1.0757879796284593     
 The CR_tau is:   24.159044809752562     
 The CR_zz is:   6.1395722189018253E-013
 The refined CR_zMp is (should equal zero):   2.2135163593116889E-026
 The refined CR_zMq is (should equal zero):   5.2459438353640945E-027
  
 Conjugate residual converged in            3  iterations.
  
 Starting direction:           2
  
 The CR_zz is:   5.1966454772171584     
  
 The CR_pMMp is:   3.8759348179913760        0.0000000000000000     
 The CR_qMMq is:   6.3293509800687681E-002   1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -4.5601250855967698E-016
 The CR_zMMz is:   4.3582135475323840     
 The CR_zMp is (should equal CR_zMMz):   4.3582135475323840     
 The CR_zMq is:  0.13674761491234760     
 The CR_gamma is:   1.1244290093069571     
 The CR_tau is:   2.1605313932339687     
 The CR_zz is:   6.9622064916258154E-004
 The refined CR_zMp is (should equal zero):   8.9257578599561737E-016
 The refined CR_zMq is (should equal zero):   2.3719437899829596E-016
  
 The CR_zMMMp is:   1.7023504844735462E-003
 The CR_zMMMq is:  -1.1991640759664744E-003
 The CR_beta is:   4.3921029749301990E-004
 The CR_xi is:  -1.8946082777565380E-002
 The CR_kappa is:  0.57639310477270966       0.81717255752409845     
 The CR_chi is:  0.52028604434679582        0.0000000000000000     
 The CR_sigma is: -0.24466154348138180        0.0000000000000000     
 The CR_pMMp is:   6.6839067614228934E-004   3.8759348179913760     
 The CR_qMMq is:   1.5091658774115387E-007   6.3293509800687681E-002
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   1.9031807858380072E-017
 The CR_zMMz is:   6.7665936301531944E-004
 The CR_zMp is (should equal CR_zMMz):   6.7665936301532453E-004
 The CR_zMq is:   1.2991063079429218E-006
 The CR_gamma is:   1.0123710386278264     
 The CR_tau is:   8.6081081436263140     
 The CR_zz is:   7.4594406743820980E-009
 The refined CR_zMp is (should equal zero):  -2.0061613492316100E-019
 The refined CR_zMq is (should equal zero):  -4.9675692783633225E-022
  
 The CR_zMMMp is:   2.1409230727022974E-008
 The CR_zMMMq is:  -3.5164954811197876E-009
 The CR_beta is:   3.2031013434522089E-005
 The CR_xi is:  -2.3300920950791313E-002
 The CR_kappa is:  0.16255416546282569       0.98669962161271973     
 The CR_chi is:  0.16119342826941213        7.0421110202105452E-005
 The CR_sigma is: -0.32588893139614772       -3.0388824356827274E-003
 The CR_pMMp is:   1.0245113073202230E-008   6.6839067614228934E-004
 The CR_qMMq is:   4.4155766712238679E-013   1.5091658774115387E-007
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   7.8311774821673824E-017
 The CR_zMMz is:   8.5962882591863798E-009
 The CR_zMp is (should equal CR_zMMz):   8.5962882591940692E-009
 The CR_zMq is:   1.0434872971918055E-011
 The CR_gamma is:  0.83906231173563794     
 The CR_tau is:   23.631959648490977     
 The CR_zz is:   2.2678267302351948E-014
 The refined CR_zMp is (should equal zero):  -1.1575705327146714E-025
 The refined CR_zMq is (should equal zero):  -4.5394792560817534E-027
  
 Conjugate residual converged in            3  iterations.
  
 Starting direction:           3
  
 The CR_zz is:   5.1966454772171584     
  
 The CR_pMMp is:   7.4600514299021903        0.0000000000000000     
 The CR_qMMq is:   3.2169002665245097E-002   1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -3.3853099601349210E-015
 The CR_zMMz is:   6.1500102559109990     
 The CR_zMp is (should equal CR_zMMz):   6.1500102559109990     
 The CR_zMq is:   6.3786686625799185E-002
 The CR_gamma is:  0.82439247419392558     
 The CR_tau is:   1.9828618030086880     
 The CR_zz is:   1.4312157788476685E-004
 The refined CR_zMp is (should equal zero):   2.4867261028127530E-015
 The refined CR_zMq is (should equal zero):   1.3889714031711797E-015
  
 The CR_zMMMp is:   4.6524892901097549E-004
 The CR_zMMMq is:  -2.7005718932607764E-004
 The CR_beta is:   6.2365378225961567E-005
 The CR_xi is:  -8.3949506341967923E-003
 The CR_kappa is:  0.50248892638589293       0.86458364480225558     
 The CR_chi is:  0.61263267349282324        0.0000000000000000     
 The CR_sigma is: -0.29950272867760985        0.0000000000000000     
 The CR_pMMp is:   1.6352742822294884E-004   7.4600514299021903     
 The CR_qMMq is:   4.4767931408485194E-008   3.2169002665245097E-002
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -6.4506575244012403E-017
 The CR_zMMz is:   1.5193836964267593E-004
 The CR_zMp is (should equal CR_zMMz):   1.5193836964268569E-004
 The CR_zMq is:   2.9540578655597446E-007
 The CR_gamma is:  0.92913079655076003     
 The CR_tau is:   6.5986025545952307     
 The CR_zz is:   1.6940942241091019E-009
 The refined CR_zMp is (should equal zero):  -3.3838304498319256E-020
 The refined CR_zMq is (should equal zero):   1.6892579071981362E-023
  
 The CR_zMMMp is:   4.8662460002336895E-009
 The CR_zMMMq is:  -9.1378045756193447E-010
 The CR_beta is:   2.9757980377451926E-005
 The CR_xi is:  -2.0411496104748298E-002
 The CR_kappa is:  0.18455682751822935       0.98282184418968144     
 The CR_chi is:  0.19925560473147785        1.2374118427429834E-005
 The CR_sigma is: -0.31979189254747525       -1.6661950043802823E-003
 The CR_pMMp is:   1.3431387579044796E-009   1.6352742822294884E-004
 The CR_qMMq is:   7.2051051755109122E-016   4.4767931408485194E-008
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   0.0000000000000000     
 The CR_zMMz is:   1.5082950856593806E-009
 The CR_zMp is (should equal CR_zMMz):   1.5082950856589798E-009
 The CR_zMq is:   1.5529099636680728E-014
 The CR_gamma is:   1.1229629677369832     
 The CR_tau is:   21.552911801290346     
 The CR_zz is:   1.1795642954291385E-018
 The refined CR_zMp is (should equal zero):  -4.3044826382108686E-025
 The refined CR_zMq is (should equal zero):   9.5271902488947783E-030
  
 Conjugate residual converged in            3  iterations.
  
 ###########################################################################################        
 Computing multibody polarizability for imaginary frequency point number            7
  
 Starting direction:           1
  
 The CR_zz is:   7.9428145335428431     
  
 The CR_pMMp is:   9.0000991759882822        0.0000000000000000     
 The CR_qMMq is:   8.2254256288820410E-002   1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -1.7320692458366739E-015
 The CR_zMMz is:   8.2762180332532473     
 The CR_zMp is (should equal CR_zMMz):   8.2762180332532473     
 The CR_zMq is:  0.16462965667389037     
 The CR_gamma is:  0.91956964822495446     
 The CR_tau is:   2.0014728003353914     
 The CR_zz is:   2.7538481097807844E-003
 The refined CR_zMp is (should equal zero):   1.9085458832910312E-015
 The refined CR_zMq is (should equal zero):   1.3672421893745825E-015
  
 The CR_zMMMp is:   7.9390689782539870E-003
 The CR_zMMMq is:  -4.9356004377709784E-003
 The CR_beta is:   8.8210905491296595E-004
 The CR_xi is:  -6.0004195046643449E-002
 The CR_kappa is:  0.52911171875124352       0.84855217227940960     
 The CR_chi is:  0.58087856983798514        0.0000000000000000     
 The CR_sigma is: -0.27596662570989894        0.0000000000000000     
 The CR_pMMp is:   2.4945896454435243E-003   9.0000991759882822     
 The CR_qMMq is:   1.7586174068158031E-006   8.2254256288820410E-002
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -8.2136756713648406E-017
 The CR_zMMz is:   2.5779431619574029E-003
 The CR_zMp is (should equal CR_zMMz):   2.5779431619574827E-003
 The CR_zMq is:   1.2539959394051294E-005
 The CR_gamma is:   1.0334137186315220     
 The CR_tau is:   7.1305784563775356     
 The CR_zz is:   3.4911606252525053E-007
 The refined CR_zMp is (should equal zero):   1.4221584278807409E-018
 The refined CR_zMq is (should equal zero):   6.1581824549127953E-021
  
 The CR_zMMMp is:   9.8846955852443880E-007
 The CR_zMMMq is:  -1.8691127514713631E-007
 The CR_beta is:   3.9624535455357203E-004
 The CR_xi is: -0.10628308034637424     
 The CR_kappa is:  0.18680992395868487       0.98239607710462196     
 The CR_chi is:  0.18237716450929753        1.5902838629195686E-004
 The CR_sigma is: -0.33053513650561250       -1.0825313837188688E-002
 The CR_pMMp is:   2.9963573614078063E-007   2.4945896454435243E-003
 The CR_qMMq is:   4.1865367485167131E-011   1.7586174068158031E-006
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -2.6018570864533691E-017
 The CR_zMMz is:   3.1128750988560746E-007
 The CR_zMp is (should equal CR_zMMz):   3.1128750988563255E-007
 The CR_zMq is:   1.0350195993590007E-009
 The CR_gamma is:   1.0388864622588858     
 The CR_tau is:   24.722572893351703     
 The CR_zz is:   1.3533514358724883E-010
 The refined CR_zMp is (should equal zero):  -1.9204358344052327E-026
 The refined CR_zMq is (should equal zero):  -2.9030408277861746E-026
  
 Conjugate residual converged in            3  iterations.
  
 Starting direction:           2
  
 The CR_zz is:   7.9428145335428431     
  
 The CR_pMMp is:   5.6144683127702359        0.0000000000000000     
 The CR_qMMq is:  0.19431332104270096        1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -1.2459877072016706E-016
 The CR_zMMz is:   6.2542394367793550     
 The CR_zMp is (should equal CR_zMMz):   6.2542394367793541     
 The CR_zMq is:  0.43415799580889519     
 The CR_gamma is:   1.1139504381125358     
 The CR_tau is:   2.2343192606619473     
 The CR_zz is:   5.8542006755779369E-003
 The refined CR_zMp is (should equal zero):   1.0145634139254956E-015
 The refined CR_zMq is (should equal zero):  -3.5821938872216351E-017
  
 The CR_zMMMp is:   1.3298536115375976E-002
 The CR_zMMMq is:  -9.1461607295412438E-003
 The CR_beta is:   2.3686189634605564E-003
 The CR_xi is:  -4.7069139060884800E-002
 The CR_kappa is:  0.56814550371220285       0.82292811752400774     
 The CR_chi is:  0.52646430591808835        0.0000000000000000     
 The CR_sigma is: -0.23684411701578856        0.0000000000000000     
 The CR_pMMp is:   5.6452002321522891E-003   5.6144683127702359     
 The CR_qMMq is:   3.2782697733467613E-006  0.19431332104270096     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -7.2080176497885005E-017
 The CR_zMMz is:   5.6215329471460043E-003
 The CR_zMp is (should equal CR_zMMz):   5.6215329471459938E-003
 The CR_zMq is:   2.8870668171550972E-005
 The CR_gamma is:  0.99580753843388969     
 The CR_tau is:   8.8066785736419497     
 The CR_zz is:   1.9810944623508216E-006
 The refined CR_zMp is (should equal zero):  -3.2897035423240386E-020
 The refined CR_zMq is (should equal zero):  -1.0329725670626396E-021
  
 The CR_zMMMp is:   6.0429471857403734E-006
 The CR_zMMMq is:  -9.5920637815547026E-007
 The CR_beta is:   1.0704575457434996E-003
 The CR_xi is: -0.29259531535631478     
 The CR_kappa is:  0.15699310739724848       0.98759969837467854     
 The CR_chi is:  0.15935113995924252        3.7193991975355371E-004
 The CR_sigma is: -0.33049274062455786       -7.3992852177592692E-003
 The CR_pMMp is:   3.0323246981131744E-006   5.6452002321522891E-003
 The CR_qMMq is:   5.6628155199959653E-011   3.2782697733467613E-006
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -6.0037450835071392E-017
 The CR_zMMz is:   2.4298098963208911E-006
 The CR_zMp is (should equal CR_zMMz):   2.4298098963209949E-006
 The CR_zMq is:   1.3891267800916422E-009
 The CR_gamma is:  0.80130267640299646     
 The CR_tau is:   24.530673393588351     
 The CR_zz is:   5.0739336068797864E-012
 The refined CR_zMp is (should equal zero):  -5.7500283274143888E-022
 The refined CR_zMq is (should equal zero):   5.7610255040393425E-026
  
 Conjugate residual converged in            3  iterations.
  
 Starting direction:           3
  
 The CR_zz is:   7.9428145335428431     
  
 The CR_pMMp is:   13.987379164111809        0.0000000000000000     
 The CR_qMMq is:   9.6052874889162698E-002   1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -6.4653292257922682E-016
 The CR_zMMz is:   10.284588226147871     
 The CR_zMp is (should equal CR_zMMz):   10.284588226147871     
 The CR_zMq is:  0.19091696092087912     
 The CR_gamma is:  0.73527628767908193     
 The CR_tau is:   1.9876235994100329     
 The CR_zz is:   1.3296252588589626E-003
 The refined CR_zMp is (should equal zero):   7.1210398688847931E-016
 The refined CR_zMq is (should equal zero):   5.1778785252476478E-016
  
 The CR_zMMMp is:   4.4436383531572515E-003
 The CR_zMMMq is:  -2.3673892088560298E-003
 The CR_beta is:   3.1768913254017877E-004
 The CR_xi is:  -2.4646729330983656E-002
 The CR_kappa is:  0.47129869554040738       0.88197366150124368     
 The CR_chi is:  0.64671377285493203        0.0000000000000000     
 The CR_sigma is: -0.30881282450084957        0.0000000000000000     
 The CR_pMMp is:   1.6042899728507885E-003   13.987379164111809     
 The CR_qMMq is:   9.8724774754085757E-007   9.6052874889162698E-002
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   6.0821519133341477E-017
 The CR_zMMz is:   1.4381767484141956E-003
 The CR_zMp is (should equal CR_zMMz):   1.4381767484142047E-003
 The CR_zMq is:   6.3060305624518853E-006
 The CR_gamma is:  0.89645685801962338     
 The CR_tau is:   6.3874853887077698     
 The CR_zz is:   8.2171620279502556E-008
 The refined CR_zMp is (should equal zero):   2.9159109209229289E-019
 The refined CR_zMq is (should equal zero):   3.7774365894970411E-022
  
 The CR_zMMMp is:   2.2618725748662481E-007
 The CR_zMMMq is:  -4.2383114887863859E-008
 The CR_beta is:   1.4098901153430197E-004
 The CR_xi is:  -4.2930576436802474E-002
 The CR_kappa is:  0.18418436718284212       0.98289171269548115     
 The CR_chi is:  0.20682796455625585        6.5111482284156968E-005
 The CR_sigma is: -0.31240544179616958       -5.0552340287715949E-003
 The CR_pMMp is:   5.6229072445416361E-008   1.6042899728507885E-003
 The CR_qMMq is:   9.8238949295270384E-014   9.8724774754085757E-007
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -4.3474847514111091E-017
 The CR_zMMz is:   6.7954408964362084E-008
 The CR_zMp is (should equal CR_zMMz):   6.7954408964361991E-008
 The CR_zMq is:   2.1445058190996829E-012
 The CR_gamma is:   1.2085280088930481     
 The CR_tau is:   21.829486517145881     
 The CR_zz is:   2.5743428646996316E-016
 The refined CR_zMp is (should equal zero):  -9.0824269699609049E-024
 The refined CR_zMq is (should equal zero):   5.4606924011661490E-027
  
 Conjugate residual converged in            3  iterations.
  
 ###########################################################################################        
 Computing multibody polarizability for imaginary frequency point number            8
  
 Starting direction:           1
  
 The CR_zz is:   11.511876727852080     
  
 The CR_pMMp is:   14.262437392829444        0.0000000000000000     
 The CR_qMMq is:  0.21569379062575766        1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -1.1458830622832469E-015
 The CR_zMMz is:   12.307250632724854     
 The CR_zMp is (should equal CR_zMMz):   12.307250632724852     
 The CR_zMq is:  0.43476224913716388     
 The CR_gamma is:  0.86291356054698065     
 The CR_tau is:   2.0156456422591407     
 The CR_zz is:   1.5456630931282102E-002
 The refined CR_zMp is (should equal zero):   4.1677184587876597E-015
 The refined CR_zMq is (should equal zero):   1.5901950436189016E-015
  
 The CR_zMMMp is:   4.1576854841616613E-002
 The CR_zMMMq is:  -2.4387714241781804E-002
 The CR_beta is:   2.9151297002376125E-003
 The CR_xi is: -0.11306637141027405     
 The CR_kappa is:  0.50852540559123616       0.86104698586561979     
 The CR_chi is:  0.59885879084240246        0.0000000000000000     
 The CR_sigma is: -0.27057867136523361        0.0000000000000000     
 The CR_pMMp is:   1.2237806018252122E-002   14.262437392829444     
 The CR_qMMq is:   1.9912493676155492E-005  0.21569379062575766     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   1.2335017379108251E-016
 The CR_zMMz is:   1.3279758088388757E-002
 The CR_zMp is (should equal CR_zMMz):   1.3279758088388924E-002
 The CR_zMq is:   1.4391913150032653E-004
 The CR_gamma is:   1.0851420645647412     
 The CR_tau is:   7.2275795207239462     
 The CR_zz is:   6.0198548552880429E-006
 The refined CR_zMp is (should equal zero):   9.9505616585429686E-019
 The refined CR_zMq is (should equal zero):  -3.0887457991047039E-021
  
 The CR_zMMMp is:   1.7988958024150121E-005
 The CR_zMMMq is:  -3.4889934807736935E-006
 The CR_beta is:   1.4699495969555671E-003
 The CR_xi is: -0.17521630075652653     
 The CR_kappa is:  0.19137980182553560       0.98151605766447791     
 The CR_chi is:  0.18005809712553217        5.1119780806645871E-004
 The CR_sigma is: -0.34100609636708729       -1.9857999296080838E-002
 The CR_pMMp is:   5.8203630853309587E-006   1.2237806018252122E-002
 The CR_qMMq is:   7.5816187756217507E-010   1.9912493676155492E-005
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   6.6621312381519966E-017
 The CR_zMMz is:   5.6964027807614196E-006
 The CR_zMp is (should equal CR_zMMz):   5.6964027807616661E-006
 The CR_zMq is:   1.8220095265388787E-008
 The CR_gamma is:  0.97870230726984897     
 The CR_tau is:   24.031932763454730     
 The CR_zz is:   6.9082062566556426E-009
 The refined CR_zMp is (should equal zero):  -2.0198909635901458E-021
 The refined CR_zMq is (should equal zero):   5.0036961279080791E-024
  
 The CR_zMMMp is:   1.2155558123765595E-008
 The CR_zMMMq is:  -6.8427184612004629E-010
 The CR_beta is:   2.0884535802244376E-003
 The CR_xi is: -0.90254056075766054     
 The CR_kappa is:   5.6504320828996708E-002  0.99840235462846028     
 The CR_chi is:   5.8547007154192268E-002   8.4318356665620447E-005
 The CR_sigma is: -0.25440779039934214       -1.0065395941004905E-002
 The CR_pMMp is:   3.1363254418166735E-009   5.8203630853309587E-006
 The CR_qMMq is:   4.2865881274574998E-014   7.5816187756217507E-010
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -2.5780131238436064E-017
 The CR_zMMz is:   4.5477022157481182E-009
 The CR_zMp is (should equal CR_zMMz):   4.5477022157429690E-009
 The CR_zMq is:   3.6629338056952328E-012
 The CR_gamma is:   1.4500096689930160     
 The CR_tau is:   85.451032307781460     
 The CR_zz is:   9.9259715564876592E-013
 The refined CR_zMp is (should equal zero):  -6.5727089298333477E-025
 The refined CR_zMq is (should equal zero):   1.1308850257568871E-028
  
 Conjugate residual converged in            4  iterations.
  
 Starting direction:           2
  
 The CR_zz is:   11.511876727852080     
  
 The CR_pMMp is:   8.4520863288430910        0.0000000000000000     
 The CR_qMMq is:  0.46190737567594986        1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   1.1877505394719686E-015
 The CR_zMMz is:   8.7595427702436872     
 The CR_zMp is (should equal CR_zMMz):   8.7595427702436872     
 The CR_zMq is:   1.0530916921787625     
 The CR_gamma is:   1.0363763962456687     
 The CR_tau is:   2.2798763293997641     
 The CR_zz is:   3.2774537181231120E-002
 The refined CR_zMp is (should equal zero):  -4.1846760434337773E-015
 The refined CR_zMq is (should equal zero):  -2.2569130487715985E-015
  
 The CR_zMMMp is:   7.3313641717225389E-002
 The CR_zMMMq is:  -4.7230434536403076E-002
 The CR_beta is:   8.6740289751939207E-003
 The CR_xi is: -0.10225087760784640     
 The CR_kappa is:  0.54500344809258650       0.83843380273411661     
 The CR_chi is:  0.55464868853445970        0.0000000000000000     
 The CR_sigma is: -0.23968407827264174        0.0000000000000000     
 The CR_pMMp is:   3.3828875978715311E-002   8.4520863288430910     
 The CR_qMMq is:   4.2165653365196466E-005  0.46190737567594986     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -6.1009601349442119E-017
 The CR_zMMz is:   3.1699021928263037E-002
 The CR_zMp is (should equal CR_zMMz):   3.1699021928262835E-002
 The CR_zMq is:   3.5659469497256719E-004
 The CR_gamma is:  0.93704035416983544     
 The CR_tau is:   8.4569944140104436     
 The CR_zz is:   5.5555103285575092E-005
 The refined CR_zMp is (should equal zero):  -4.3042946919613602E-018
 The refined CR_zMq is (should equal zero):   1.0311149535878966E-019
  
 The CR_zMMMp is:   1.5261094949071247E-004
 The CR_zMMMq is:  -2.3129327789087853E-005
 The CR_beta is:   4.5112627917857301E-003
 The CR_xi is: -0.54853478941177281     
 The CR_kappa is:  0.15016766950675753       0.98866054388496227     
 The CR_chi is:  0.16377652526978009        1.3789159347394957E-003
 The CR_sigma is: -0.31296700851888687       -1.6293620681003710E-002
 The CR_pMMp is:   5.1076003679238477E-005   3.3828875978715311E-002
 The CR_qMMq is:   1.8230053787715785E-009   4.2165653365196466E-005
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -4.4168610085692995E-017
 The CR_zMMz is:   5.2601977750195173E-005
 The CR_zMp is (should equal CR_zMMz):   5.2601977750195878E-005
 The CR_zMq is:   5.0176834571575682E-008
 The CR_gamma is:   1.0298765361624735     
 The CR_tau is:   27.524238357095275     
 The CR_zz is:   4.8149015529385925E-010
 The refined CR_zMp is (should equal zero):  -9.9395493422884055E-021
 The refined CR_zMq is (should equal zero):   1.0392941372621644E-023
  
 The CR_zMMMp is:   1.4476341141011369E-009
 The CR_zMMMq is:  -7.5679228444879806E-011
 The CR_beta is:   2.8342744338268882E-005
 The CR_xi is:  -4.1513442212592816E-002
 The CR_kappa is:   5.2916669725610647E-002  0.99859893153615520     
 The CR_chi is:   5.1733778987035343E-002   2.3124438257102642E-004
 The CR_sigma is: -0.36925614278133756       -2.8135563744963590E-002
 The CR_pMMp is:   8.7264432368254141E-010   5.1076003679238477E-005
 The CR_qMMq is:   1.3472071729241063E-014   1.8230053787715785E-009
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -7.2696025588656072E-017
 The CR_zMMz is:   5.9212871496677574E-010
 The CR_zMp is (should equal CR_zMMz):   5.9212871496821389E-010
 The CR_zMq is:   1.0307795314209363E-012
 The CR_gamma is:  0.67854531210315183     
 The CR_tau is:   76.512325063088440     
 The CR_zz is:   8.3665301405759078E-013
 The refined CR_zMp is (should equal zero):   2.8152553011722127E-026
 The refined CR_zMq is (should equal zero):  -1.8147865362164940E-029
  
 Conjugate residual converged in            4  iterations.
  
 Starting direction:           3
  
 The CR_zz is:   11.511876727852080     
  
 The CR_pMMp is:   26.329698234242432        0.0000000000000000     
 The CR_qMMq is:  0.21982507362686246        1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -2.8150007204725766E-015
 The CR_zMMz is:   16.728320200540853     
 The CR_zMp is (should equal CR_zMMz):   16.728320200540853     
 The CR_zMq is:  0.43867272665728707     
 The CR_gamma is:  0.63534036933189209     
 The CR_tau is:   1.9955536437208390     
 The CR_zz is:   8.3046352563827842E-003
 The refined CR_zMp is (should equal zero):   9.9538433051549191E-015
 The refined CR_zMq is (should equal zero):   4.2646008252544831E-015
  
 The CR_zMMMp is:   2.8345365418013978E-002
 The CR_zMMMq is:  -1.3508385099074392E-002
 The CR_beta is:   1.0765548912045684E-003
 The CR_xi is:  -6.1450611052695114E-002
 The CR_kappa is:  0.43231581914736045       0.90172225907701009     
 The CR_chi is:  0.68875062904243600        0.0000000000000000     
 The CR_sigma is: -0.31679502919439623        0.0000000000000000     
 The CR_pMMp is:   1.0203651784056550E-002   26.329698234242432     
 The CR_qMMq is:   1.1782517939133514E-005  0.21982507362686246     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -1.5878767536754366E-017
 The CR_zMMz is:   8.9477521717234772E-003
 The CR_zMp is (should equal CR_zMMz):   8.9477521717236976E-003
 The CR_zMq is:   7.3338341694773558E-005
 The CR_gamma is:  0.87691665308539579     
 The CR_tau is:   6.2243352459658432     
 The CR_zz is:   1.7199442257932873E-006
 The refined CR_zMp is (should equal zero):   2.4894298319803887E-018
 The refined CR_zMq is (should equal zero):  -7.8218198723014297E-021
  
 The CR_zMMMp is:   4.3694943918674049E-006
 The CR_zMMMq is:  -8.1798521237162467E-007
 The CR_beta is:   4.2822848959769920E-004
 The CR_xi is:  -6.9423633946258126E-002
 The CR_kappa is:  0.18403833675020270       0.98291906615255908     
 The CR_chi is:  0.21232703342518569        2.2493992017391670E-004
 The CR_sigma is: -0.29979833250815624       -1.2858629613596514E-002
 The CR_pMMp is:   9.2440233497744022E-007   1.0203651784056550E-002
 The CR_qMMq is:   6.1527674715615071E-012   1.1782517939133514E-005
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -4.3355539203836491E-017
 The CR_zMMz is:   1.2597317918134911E-006
 The CR_zMp is (should equal CR_zMMz):   1.2597317918130919E-006
 The CR_zMq is:   1.4121929501972610E-010
 The CR_gamma is:   1.3627527150759904     
 The CR_tau is:   22.952158629828105     
 The CR_zz is:   1.8571568269088370E-014
 The refined CR_zMp is (should equal zero):   1.6404025522692230E-022
 The refined CR_zMq is (should equal zero):   8.2344456730590096E-026
  
 Conjugate residual converged in            3  iterations.
  
 ###########################################################################################        
 Computing multibody polarizability for imaginary frequency point number            9
  
 Starting direction:           1
  
 The CR_zz is:   15.925491581356029     
  
 The CR_pMMp is:   22.245008033284460        0.0000000000000000     
 The CR_qMMq is:  0.44691606478898804        1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -4.3193146487829339E-016
 The CR_zMMz is:   17.653822897609373     
 The CR_zMp is (should equal CR_zMMz):   17.653822897609373     
 The CR_zMq is:  0.90984657716366879     
 The CR_gamma is:  0.79360829500239105     
 The CR_tau is:   2.0358332332341957     
 The CR_zz is:   6.2975392375894668E-002
 The refined CR_zMp is (should equal zero):   6.9773955955727747E-015
 The refined CR_zMq is (should equal zero):   1.2052961982022396E-015
  
 The CR_zMMMp is:  0.15073449293686797     
 The CR_zMMMq is:  -8.1647163144088916E-002
 The CR_beta is:   6.7761042257808582E-003
 The CR_xi is: -0.18269015051548598     
 The CR_kappa is:  0.48139355766905989       0.87650455939186400     
 The CR_chi is:  0.62002633903349769        0.0000000000000000     
 The CR_sigma is: -0.26183549256690969        0.0000000000000000     
 The CR_pMMp is:   3.9225845736302792E-002   22.245008033284460     
 The CR_qMMq is:   1.3185166922981525E-004  0.44691606478898804     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -4.9469049980932040E-017
 The CR_zMMz is:   4.6595864190359930E-002
 The CR_zMp is (should equal CR_zMMz):   4.6595864190360194E-002
 The CR_zMq is:   9.9850306111112070E-004
 The CR_gamma is:   1.1878867954461103     
 The CR_tau is:   7.5729269636378023     
 The CR_zz is:   6.3189827002222204E-005
 The refined CR_zMp is (should equal zero):   8.2893367265176458E-018
 The refined CR_zMq is (should equal zero):   4.7592705003522221E-019
  
 The CR_zMMMp is:   1.9069332467510662E-004
 The CR_zMMMq is:  -3.8143116077844504E-005
 The CR_beta is:   4.8614203491506493E-003
 The CR_xi is: -0.28928807879831764     
 The CR_kappa is:  0.19718067498207223       0.98036716663381496     
 The CR_chi is:  0.17337528198335417        1.1130465837087648E-003
 The CR_sigma is: -0.34471515158909349       -3.0097498514505539E-002
 The CR_pMMp is:   6.6506144311102486E-005   3.9225845736302792E-002
 The CR_qMMq is:   9.0434246982091424E-009   1.3185166922981525E-004
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -1.2398009445581348E-016
 The CR_zMMz is:   6.2332949862939970E-005
 The CR_zMp is (should equal CR_zMMz):   6.2332949862941217E-005
 The CR_zMq is:   2.0677983822660937E-007
 The CR_gamma is:  0.93725099400380363     
 The CR_tau is:   22.865213691396988     
 The CR_zz is:   4.0142595867365474E-008
 The refined CR_zMp is (should equal zero):   1.1598373369485969E-020
 The refined CR_zMq is (should equal zero):   8.1500831979667042E-023
  
 The CR_zMMMp is:   6.3336358280529511E-008
 The CR_zMMMq is:  -3.2966075839471866E-009
 The CR_beta is:   9.5233844837335109E-004
 The CR_xi is: -0.36453088226631769     
 The CR_kappa is:   5.2822506589366248E-002  0.99860391687476191     
 The CR_chi is:   5.7202119930063910E-002   2.7244387242958239E-004
 The CR_sigma is: -0.25442135923959130       -1.6232077353154590E-002
 The CR_pMMp is:   7.4536345373602173E-009   6.6506144311102486E-005
 The CR_qMMq is:   5.0618206055371384E-013   9.0434246982091424E-009
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   7.2120224459728553E-017
 The CR_zMMz is:   1.6015572107846817E-008
 The CR_zMp is (should equal CR_zMMz):   1.6015572107867527E-008
 The CR_zMq is:   5.3579957452143351E-011
 The CR_gamma is:   2.1486929668461596     
 The CR_tau is:   105.85115836292599     
 The CR_zz is:   5.8548157827340126E-011
 The refined CR_zMp is (should equal zero):   1.0177595963746944E-024
 The refined CR_zMq is (should equal zero):  -2.5411764918518664E-026
  
 Conjugate residual converged in            4  iterations.
  
 Starting direction:           2
  
 The CR_zz is:   15.925491581356029     
  
 The CR_pMMp is:   13.857987922910725        0.0000000000000000     
 The CR_qMMq is:  0.91595651492829366        1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   1.1821753728066687E-015
 The CR_zMMz is:   12.416836636747568     
 The CR_zMp is (should equal CR_zMMz):   12.416836636747568     
 The CR_zMq is:   2.0708605251623640     
 The CR_gamma is:  0.89600573371978676     
 The CR_tau is:   2.2608720953575867     
 The CR_zz is:  0.11798398545116184     
 The refined CR_zMp is (should equal zero):  -6.4328099525086957E-015
 The refined CR_zMq is (should equal zero):  -3.6849539615774450E-015
  
 The CR_zMMMp is:  0.27459499551622740     
 The CR_zMMMq is: -0.15768679330655089     
 The CR_beta is:   1.9814925301114825E-002
 The CR_xi is: -0.17215532695773827     
 The CR_kappa is:  0.50312368475181535       0.86421441658986220     
 The CR_chi is:  0.60319919610710271        0.0000000000000000     
 The CR_sigma is: -0.25082518596698383        0.0000000000000000     
 The CR_pMMp is:  0.11927156060918034        13.857987922910725     
 The CR_qMMq is:   2.3163093048436033E-004  0.91595651492829366     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   9.4835050778835803E-018
 The CR_zMMz is:  0.11047098035989600     
 The CR_zMp is (should equal CR_zMMz):  0.11047098035989547     
 The CR_zMq is:   1.8800458771885058E-003
 The CR_gamma is:  0.92621392556334603     
 The CR_tau is:   8.1165579797877907     
 The CR_zz is:   4.0472370433028329E-004
 The refined CR_zMp is (should equal zero):  -3.0750934471733562E-017
 The refined CR_zMq is (should equal zero):  -1.5769990504639705E-019
  
 The CR_zMMMp is:   9.0519814404907146E-004
 The CR_zMMMq is:  -1.3874978692449811E-004
 The CR_beta is:   7.5893879431590018E-003
 The CR_xi is: -0.59901234534766268     
 The CR_kappa is:  0.15220697351961393       0.98834864152888857     
 The CR_chi is:  0.16918844741352823        3.2202860032183715E-003
 The CR_sigma is: -0.28568169377968500       -2.8075154162442901E-002
 The CR_pMMp is:   2.1545303490272906E-004  0.11927156060918034     
 The CR_qMMq is:   2.0390324172071431E-008   2.3163093048436033E-004
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   5.2861444896652931E-017
 The CR_zMMz is:   2.8776356384024323E-004
 The CR_zMp is (should equal CR_zMMz):   2.8776356384024778E-004
 The CR_zMq is:   6.4430652173655694E-007
 The CR_gamma is:   1.3356208417772573     
 The CR_tau is:   31.598640428633388     
 The CR_zz is:   2.1480854970833296E-008
 The refined CR_zMp is (should equal zero):   9.3736611618261806E-020
 The refined CR_zMq is (should equal zero):  -1.5896096497107933E-022
  
 The CR_zMMMp is:   6.6770725514982404E-008
 The CR_zMMMq is:  -4.0221419577801466E-009
 The CR_beta is:   3.0990849372406149E-004
 The CR_xi is: -0.19725738167955481     
 The CR_kappa is:   6.0446255965773084E-002  0.99817145327830337     
 The CR_chi is:   4.6051652695386934E-002   3.4160038208489032E-004
 The CR_sigma is: -0.35492370384637772       -2.6999478583245248E-002
 The CR_pMMp is:   7.2983682797898814E-008   2.1545303490272906E-004
 The CR_qMMq is:   2.6157211698168018E-013   2.0390324172071431E-008
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   1.4310246474101154E-016
 The CR_zMMz is:   3.7913844852853944E-008
 The CR_zMp is (should equal CR_zMMz):   3.7913844852859906E-008
 The CR_zMq is:   2.1253082169400372E-011
 The CR_gamma is:  0.51948385446440415     
 The CR_tau is:   81.251329134935588     
 The CR_zz is:   5.8383534626431498E-011
 The refined CR_zMp is (should equal zero):   7.7823863281870477E-024
 The refined CR_zMq is (should equal zero):  -1.3138857739139855E-026
  
 Conjugate residual converged in            4  iterations.
  
 Starting direction:           3
  
 The CR_zz is:   15.925491581356029     
  
 The CR_pMMp is:   49.227864007677105        0.0000000000000000     
 The CR_qMMq is:  0.39932114116865602        1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   2.9297424495764433E-015
 The CR_zMMz is:   26.535397996453224     
 The CR_zMp is (should equal CR_zMMz):   26.535397996453224     
 The CR_zMq is:  0.79641549612201379     
 The CR_gamma is:  0.53903208134959946     
 The CR_tau is:   1.9944235704406199     
 The CR_zz is:   3.3670932557978130E-002
 The refined CR_zMp is (should equal zero):  -2.4813484600372249E-014
 The refined CR_zMq is (should equal zero):  -6.8302568462241808E-015
  
 The CR_zMMMp is:  0.11572260528088903     
 The CR_zMMMq is:  -4.8503324628967878E-002
 The CR_beta is:   2.3507541432803594E-003
 The CR_xi is: -0.12146445461669701     
 The CR_kappa is:  0.39004343064469943       0.92079646079408539     
 The CR_chi is:  0.73323438950165143        0.0000000000000000     
 The CR_sigma is: -0.32161169993127697        0.0000000000000000     
 The CR_pMMp is:   3.8411548713157127E-002   49.227864007677105     
 The CR_qMMq is:   7.7184320969891207E-005  0.39932114116865602     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   1.9677269875177910E-018
 The CR_zMMz is:   3.4357977100971354E-002
 The CR_zMp is (should equal CR_zMMz):   3.4357977100970612E-002
 The CR_zMq is:   4.7515231181294017E-004
 The CR_gamma is:  0.89446997718167909     
 The CR_tau is:   6.1560729671806280     
 The CR_zz is:   1.3681262419277501E-005
 The refined CR_zMp is (should equal zero):   2.8358663074073975E-018
 The refined CR_zMq is (should equal zero):   2.7528570785764761E-020
  
 The CR_zMMMp is:   3.0547159152779698E-005
 The CR_zMMMq is:  -5.8002817441760380E-006
 The CR_beta is:   7.9525976369487967E-004
 The CR_xi is:  -7.5148445581825707E-002
 The CR_kappa is:  0.18668473937528171       0.98241987362043071     
 The CR_chi is:  0.21261139223721134        4.8726715924645429E-004
 The CR_sigma is: -0.28212377048276499       -2.5238933772128609E-002
 The CR_pMMp is:   5.1792431298510838E-006   3.8411548713157127E-002
 The CR_qMMq is:   1.7206686741442732E-010   7.7184320969891207E-005
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   2.7708854455818927E-017
 The CR_zMMz is:   8.3834408906437662E-006
 The CR_zMp is (should equal CR_zMMz):   8.3834408906430326E-006
 The CR_zMq is:   4.3763865243039326E-009
 The CR_gamma is:   1.6186613913380965     
 The CR_tau is:   25.434219789468806     
 The CR_zz is:   3.4628574538871154E-013
 The refined CR_zMp is (should equal zero):  -1.1570188818085475E-021
 The refined CR_zMq is (should equal zero):  -8.1344812191494030E-025
  
 Conjugate residual converged in            3  iterations.
  
 ###########################################################################################        
 Computing multibody polarizability for imaginary frequency point number           10
  
 Starting direction:           1
  
 The CR_zz is:   21.104796952384650     
  
 The CR_pMMp is:   33.995396142247522        0.0000000000000000     
 The CR_qMMq is:  0.76464327751157557        1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -5.9146850283016284E-016
 The CR_zMMz is:   24.530860535844173     
 The CR_zMp is (should equal CR_zMMz):   24.530860535844177     
 The CR_zMq is:   1.5675377954444425     
 The CR_gamma is:  0.72159360735786915     
 The CR_tau is:   2.0500249482945496     
 The CR_zz is:  0.18999321867631047     
 The refined CR_zMp is (should equal zero):  -6.7406538221810841E-016
 The refined CR_zMq is (should equal zero):   1.7141808489634017E-015
  
 The CR_zMMMp is:  0.38799989347209024     
 The CR_zMMMq is: -0.19114206874651954     
 The CR_beta is:   1.1413307021002950E-002
 The CR_xi is: -0.24997547793601824     
 The CR_kappa is:  0.44957313224242207       0.89324352713341149     
 The CR_chi is:  0.63868695457459157        0.0000000000000000     
 The CR_sigma is: -0.24740825778779663        0.0000000000000000     
 The CR_pMMp is:   7.8976608784651625E-002   33.995396142247522     
 The CR_qMMq is:   4.3916139088368185E-004  0.76464327751157557     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -4.7990255584782726E-017
 The CR_zMMz is:  0.11186776681400140     
 The CR_zMp is (should equal CR_zMMz):  0.11186776681400176     
 The CR_zMq is:   3.6979117472561262E-003
 The CR_gamma is:   1.4164670848179319     
 The CR_tau is:   8.4203935592224468     
 The CR_zz is:   3.9833687302071058E-004
 The refined CR_zMp is (should equal zero):  -1.4844220514293223E-017
 The refined CR_zMq is (should equal zero):   1.3900994376863297E-018
  
 The CR_zMMMp is:   1.1068931184876696E-003
 The CR_zMMMq is:  -2.3429483560117995E-004
 The CR_beta is:   1.4015455152118206E-002
 The CR_xi is: -0.53350508597700541     
 The CR_kappa is:  0.20868216496398814       0.97798351418924379     
 The CR_chi is:  0.15851267724745666        1.6563797388629048E-003
 The CR_sigma is: -0.33892152220465899       -3.6435121524425573E-002
 The CR_pMMp is:   4.6474619495541665E-004   7.8976608784651625E-002
 The CR_qMMq is:   7.5726946847525248E-008   4.3916139088368185E-004
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   3.3833683755705401E-017
 The CR_zMMz is:   4.0497705591089781E-004
 The CR_zMp is (should equal CR_zMMz):   4.0497705591089418E-004
 The CR_zMq is:   1.8523656722918118E-006
 The CR_gamma is:  0.87139402174071345     
 The CR_tau is:   24.461116543117928     
 The CR_zz is:   1.3135496740169091E-007
 The refined CR_zMp is (should equal zero):   5.1295903046385784E-020
 The refined CR_zMq is (should equal zero):  -5.2314449523490782E-022
  
 The CR_zMMMp is:   2.4201221115117596E-007
 The CR_zMMMq is:  -1.1051849561370930E-008
 The CR_beta is:   5.2074059729395378E-004
 The CR_xi is: -0.14594341936990562     
 The CR_kappa is:   4.7500621572657893E-002  0.99887120838985588     
 The CR_chi is:   5.5949666486505525E-002   7.5673493303473802E-004
 The CR_sigma is: -0.31476206012910207       -2.8862230214586820E-002
 The CR_pMMp is:   3.9311218536637919E-008   4.6474619495541665E-004
 The CR_qMMq is:   5.0442620836597152E-012   7.5726946847525248E-008
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   2.8406132716673580E-017
 The CR_zMMz is:   5.9452586159138039E-008
 The CR_zMp is (should equal CR_zMMz):   5.9452586159170762E-008
 The CR_zMq is:   4.5635613355782933E-010
 The CR_gamma is:   1.5123567361251129     
 The CR_tau is:   90.470345511217701     
 The CR_zz is:   1.5475116467017528E-010
 The refined CR_zMp is (should equal zero):  -2.0931276604756364E-023
 The refined CR_zMq is (should equal zero):   1.1541190177040423E-026
  
 Conjugate residual converged in            4  iterations.
  
 Starting direction:           2
  
 The CR_zz is:   21.104796952384650     
  
 The CR_pMMp is:   24.645225213994483        0.0000000000000000     
 The CR_qMMq is:   1.5754606965717133        1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   5.8992205026587221E-016
 The CR_zMMz is:   18.094586950508024     
 The CR_zMp is (should equal CR_zMMz):   18.094586950508027     
 The CR_zMq is:   3.4484656611553643     
 The CR_gamma is:  0.73420253998057372     
 The CR_tau is:   2.1888617524127452     
 The CR_zz is:  0.27149066321061699     
 The refined CR_zMp is (should equal zero):  -9.6605203251747139E-015
 The refined CR_zMq is (should equal zero):  -2.4644110102595249E-015
  
 The CR_zMMMp is:  0.67000178783695574     
 The CR_zMMMq is: -0.32954067257153008     
 The CR_beta is:   2.7185865903814246E-002
 The CR_xi is: -0.20917098934211956     
 The CR_kappa is:  0.44758219122676018       0.89424279817991936     
 The CR_chi is:  0.65990510306191263        0.0000000000000000     
 The CR_sigma is: -0.26537537182432991        0.0000000000000000     
 The CR_pMMp is:  0.22955887129250471        24.645225213994483     
 The CR_qMMq is:   6.5732471731819197E-004   1.5754606965717133     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   1.2710495920721651E-016
 The CR_zMMz is:  0.22940195963476626     
 The CR_zMp is (should equal CR_zMMz):  0.22940195963476598     
 The CR_zMq is:   5.1914951714596026E-003
 The CR_gamma is:  0.99931646441344102     
 The CR_tau is:   7.8979156491182865     
 The CR_zz is:   1.2435170218948724E-003
 The refined CR_zMp is (should equal zero):   6.2342249810864023E-018
 The refined CR_zMq is (should equal zero):  -1.3322603690069953E-018
  
 The CR_zMMMp is:   2.1669506858066475E-003
 The CR_zMMMq is:  -3.6072225208878350E-004
 The CR_beta is:   9.4396294667502146E-003
 The CR_xi is: -0.54877329664475138     
 The CR_kappa is:  0.16565129535893272       0.98618438861396884     
 The CR_chi is:  0.17159591757258330        4.4480974763991205E-003
 The CR_sigma is: -0.25829454827535114       -3.4366939557133498E-002
 The CR_pMMp is:   4.1455258895660657E-004  0.22955887129250471     
 The CR_qMMq is:   8.9216502872485021E-008   6.5732471731819197E-004
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -9.5617589712745294E-018
 The CR_zMMz is:   6.8348442185431704E-004
 The CR_zMp is (should equal CR_zMMz):   6.8348442185431845E-004
 The CR_zMq is:   3.2195344463566247E-006
 The CR_gamma is:   1.6487279058480622     
 The CR_tau is:   36.086759093866604     
 The CR_zz is:   4.5461841115215267E-007
 The refined CR_zMp is (should equal zero):  -1.2306278914782469E-019
 The refined CR_zMq is (should equal zero):  -2.4717719136770566E-023
  
 The CR_zMMMp is:   1.3747007488970021E-006
 The CR_zMMMq is:  -9.0177849074544865E-008
 The CR_beta is:   3.3161070163788059E-003
 The CR_xi is:  -1.0107754302299192     
 The CR_kappa is:   6.5541341768948963E-002  0.99784985469715115     
 The CR_chi is:   4.1304258833209685E-002   3.7109788315492330E-004
 The CR_sigma is: -0.32942661444352028       -2.1631709327910049E-002
 The CR_pMMp is:   2.1870916965385882E-006   4.1455258895660657E-004
 The CR_qMMq is:   1.5830705003342619E-012   8.9216502872485021E-008
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -5.7316844228022802E-017
 The CR_zMMz is:   9.8771882824683598E-007
 The CR_zMp is (should equal CR_zMMz):   9.8771882824711804E-007
 The CR_zMq is:   1.1577801760305131E-010
 The CR_gamma is:  0.45161290210663607     
 The CR_tau is:   73.135098897114830     
 The CR_zz is:   8.4407894594268429E-011
 The refined CR_zMp is (should equal zero):   4.8382503598010517E-022
 The refined CR_zMq is (should equal zero):   6.9681824377544523E-026
  
 Conjugate residual converged in            4  iterations.
  
 Starting direction:           3
  
 The CR_zz is:   21.104796952384650     
  
 The CR_pMMp is:   89.258690145025369        0.0000000000000000     
 The CR_qMMq is:  0.61068648842569906        1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   5.5638772952907762E-016
 The CR_zMMz is:   40.787239318761664     
 The CR_zMp is (should equal CR_zMMz):   40.787239318761664     
 The CR_zMq is:   1.2046570348184205     
 The CR_gamma is:  0.45695538722886858     
 The CR_tau is:   1.9726276209646132     
 The CR_zz is:   9.0508474811240108E-002
 The refined CR_zMp is (should equal zero):  -7.7056416802889771E-015
 The refined CR_zMq is (should equal zero):  -2.1189647259056699E-015
  
 The CR_zMMMp is:  0.30722751946193677     
 The CR_zMMMq is: -0.11260325190372347     
 The CR_beta is:   3.4419900063821338E-003
 The CR_xi is: -0.18438798636925086     
 The CR_kappa is:  0.34964440032850125       0.93688248639779936     
 The CR_chi is:  0.77470901089022870        0.0000000000000000     
 The CR_sigma is: -0.32487670398374185        0.0000000000000000     
 The CR_pMMp is:   8.5120284438442384E-002   89.258690145025369     
 The CR_qMMq is:   3.0896324130609760E-004  0.61068648842569906     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -1.3213575517773541E-017
 The CR_zMMz is:   8.1735014792617813E-002
 The CR_zMp is (should equal CR_zMMz):   8.1735014792617439E-002
 The CR_zMq is:   1.9243671866498136E-003
 The CR_gamma is:  0.96022957784788521     
 The CR_tau is:   6.2284664625954482     
 The CR_zz is:   3.8239577766895644E-005
 The refined CR_zMp is (should equal zero):   3.8150363944333687E-018
 The refined CR_zMq is (should equal zero):  -4.9974943888003720E-019
  
 The CR_zMMMp is:   7.2761381712121374E-005
 The CR_zMMMq is:  -1.4372793928079916E-005
 The CR_beta is:   8.5480660916659916E-004
 The CR_xi is:  -4.6519430166905941E-002
 The CR_kappa is:  0.19459685506760938       0.98088330804321255     
 The CR_chi is:  0.20893796720812491        6.9019830496153578E-004
 The CR_sigma is: -0.26682500734482634       -3.7118799628136766E-002
 The CR_pMMp is:   1.0586929526101364E-005   8.5120284438442384E-002
 The CR_qMMq is:   2.1244103941292054E-009   3.0896324130609760E-004
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   0.0000000000000000     
 The CR_zMMz is:   1.9652834106264202E-005
 The CR_zMp is (should equal CR_zMMz):   1.9652834106264148E-005
 The CR_zMq is:   6.1102397056337535E-008
 The CR_gamma is:   1.8563299262370081     
 The CR_tau is:   28.762049566879178     
 The CR_zz is:   3.5072766641959077E-012
 The refined CR_zMp is (should equal zero):  -5.2393103011225927E-021
 The refined CR_zMq is (should equal zero):  -3.7294213398777521E-023
  
 Conjugate residual converged in            3  iterations.
  
 ###########################################################################################        
 Computing multibody polarizability for imaginary frequency point number           11
  
 Starting direction:           1
  
 The CR_zz is:   26.820594315896457     
  
 The CR_pMMp is:   50.472129600366507        0.0000000000000000     
 The CR_qMMq is:   1.1473948587964142        1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -5.6808036963302041E-016
 The CR_zMMz is:   33.023832025987545     
 The CR_zMp is (should equal CR_zMMz):   33.023832025987545     
 The CR_zMq is:   2.3418796009486456     
 The CR_gamma is:  0.65429836797985519     
 The CR_tau is:   2.0410406957943086     
 The CR_zz is:  0.43328334666519930     
 The refined CR_zMp is (should equal zero):   9.5835792845496901E-015
 The refined CR_zMq is (should equal zero):   2.3967790265486409E-015
  
 The CR_zMMMp is:  0.75052146808542008     
 The CR_zMMMq is: -0.33440856730918916     
 The CR_beta is:   1.4870017850009050E-002
 The CR_xi is: -0.29145029258713484     
 The CR_kappa is:  0.41314986010548133       0.91066305135040004     
 The CR_chi is:  0.64677341891644924        0.0000000000000000     
 The CR_sigma is: -0.21859696569718215        0.0000000000000000     
 The CR_pMMp is:   9.8117479265702912E-002   50.472129600366507     
 The CR_qMMq is:   5.2582479105423127E-004   1.1473948587964142     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   6.1171730520266746E-017
 The CR_zMMz is:  0.19147652319820144     
 The CR_zMp is (should equal CR_zMMz):  0.19147652319820194     
 The CR_zMq is:   5.5443132421415641E-003
 The CR_gamma is:   1.9515026744590735     
 The CR_tau is:   10.544031655536278     
 The CR_zz is:   1.1569852144340852E-003
 The refined CR_zMp is (should equal zero):  -1.0721999175874586E-016
 The refined CR_zMq is (should equal zero):  -1.9840450092945032E-018
  
 The CR_zMMMp is:   2.5575980334719603E-003
 The CR_zMMMq is:  -6.0530652795122170E-004
 The CR_beta is:   2.6066691201329831E-002
 The CR_xi is:  -1.1511563133751010     
 The CR_kappa is:  0.23324385798083502       0.97241827559657479     
 The CR_chi is:  0.12870078885790395        1.7525308829198368E-003
 The CR_sigma is: -0.31849085889335782       -3.4485370155014239E-002
 The CR_pMMp is:   2.0727813912690810E-003   9.8117479265702912E-002
 The CR_qMMq is:   2.8374847713762598E-007   5.2582479105423127E-004
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -8.0117727770982828E-017
 The CR_zMMz is:   1.3912117895164872E-003
 The CR_zMp is (should equal CR_zMMz):   1.3912117895164781E-003
 The CR_zMq is:   7.9329023733939719E-006
 The CR_gamma is:  0.67118114595996770     
 The CR_tau is:   27.957515238209687     
 The CR_zz is:   1.4458522860062423E-006
 The refined CR_zMp is (should equal zero):  -9.1459193448988485E-020
 The refined CR_zMq is (should equal zero):   6.7093100637066225E-022
  
 The CR_zMMMp is:   4.0503894590946112E-006
 The CR_zMMMq is:  -1.3361180345903806E-007
 The CR_beta is:   1.9540842445592973E-003
 The CR_xi is: -0.47088112967821349     
 The CR_kappa is:   3.5628810753162071E-002  0.99936509236830739     
 The CR_chi is:   5.5810522922120583E-002   1.3574016419780591E-003
 The CR_sigma is: -0.47956031150719891       -6.0198850305700324E-002
 The CR_pMMp is:   1.6775297984038587E-006   2.0727813912690810E-003
 The CR_qMMq is:   1.4162072087812473E-010   2.8374847713762598E-007
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   7.1618134474210188E-017
 The CR_zMMz is:   1.0169089924840026E-006
 The CR_zMp is (should equal CR_zMMz):   1.0169089924840069E-006
 The CR_zMq is:   1.0783587211199756E-008
 The CR_gamma is:  0.60619429440334149     
 The CR_tau is:   76.144134448234041     
 The CR_zz is:   8.3009423911356985E-009
 The refined CR_zMp is (should equal zero):  -2.7694541071632271E-022
 The refined CR_zMq is (should equal zero):  -5.0068254875041683E-027
  
 The CR_zMMMp is:   1.7277506860401714E-008
 The CR_zMMMq is:  -2.0711338859035083E-010
 The CR_beta is:   1.0299374042023558E-002
 The CR_xi is:  -1.4624511674996166     
 The CR_kappa is:   1.2306386131093952E-002  0.99992427356294955     
 The CR_chi is:   2.3229949118586755E-002   3.6464920232812012E-005
 The CR_sigma is: -0.27671132210429661       -8.9973067884553497E-003
 The CR_pMMp is:   4.4109925842651263E-009   1.6775297984038587E-006
 The CR_qMMq is:   1.5769779621009960E-014   1.4162072087812473E-010
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -7.0234611714520773E-017
 The CR_zMMz is:   5.2969436265588020E-009
 The CR_zMp is (should equal CR_zMMz):   5.2969436265568160E-009
 The CR_zMq is:   5.5259661753255985E-012
 The CR_gamma is:   1.2008507213211037     
 The CR_tau is:   350.41492703952531     
 The CR_zz is:   3.7227822381141462E-012
 The refined CR_zMp is (should equal zero):   1.9253678070365560E-024
 The refined CR_zMq is (should equal zero):   2.7090563931988347E-027
  
 Conjugate residual converged in            5  iterations.
  
 Starting direction:           2
  
 The CR_zz is:   26.820594315896457     
  
 The CR_pMMp is:   44.790165932951680        0.0000000000000000     
 The CR_qMMq is:   2.3717915224810988        1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -1.1666659754333022E-015
 The CR_zMMz is:   26.684034561188735     
 The CR_zMp is (should equal CR_zMMz):   26.684034561188739     
 The CR_zMq is:   4.9876367866567595     
 The CR_gamma is:  0.59575654622787544     
 The CR_tau is:   2.1028984796434642     
 The CR_zz is:  0.43491223062305417     
 The refined CR_zMp is (should equal zero):   2.0651837158489688E-014
 The refined CR_zMq is (should equal zero):   6.4076032717085390E-015
  
 The CR_zMMMp is:   1.1443164501949528     
 The CR_zMMMq is: -0.47869264897837255     
 The CR_beta is:   2.5548386043220496E-002
 The CR_xi is: -0.20182745592986129     
 The CR_kappa is:  0.39285701398740724       0.91959956859542846     
 The CR_chi is:  0.71149330212240813        0.0000000000000000     
 The CR_sigma is: -0.28043906753608611        0.0000000000000000     
 The CR_pMMp is:  0.29288829430142488        44.790165932951680     
 The CR_qMMq is:   1.2076281976868930E-003   2.3717915224810988     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   3.7906229038884670E-017
 The CR_zMMz is:  0.32490802759325654     
 The CR_zMp is (should equal CR_zMMz):  0.32490802759325760     
 The CR_zMq is:   9.3471901899282589E-003
 The CR_gamma is:   1.1093240457704319     
 The CR_tau is:   7.7401225044529358     
 The CR_zz is:   2.1355458075450885E-003
 The refined CR_zMp is (should equal zero):   4.4102247383370915E-017
 The refined CR_zMq is (should equal zero):  -1.3037329689802338E-018
  
 The CR_zMMMp is:   2.9732895637752730E-003
 The CR_zMMMq is:  -5.4898117826199342E-004
 The CR_beta is:   1.0151616236036130E-002
 The CR_xi is: -0.45459453440514158     
 The CR_kappa is:  0.18447435346413693       0.98283732779844546     
 The CR_chi is:  0.17317849350850079        4.1865533014656094E-003
 The CR_sigma is: -0.24024765186152477       -3.3231070907259394E-002
 The CR_pMMp is:   5.0537918302091768E-004  0.29288829430142488     
 The CR_qMMq is:   2.3375830032202652E-007   1.2076281976868930E-003
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   5.6643264554212408E-017
 The CR_zMMz is:   9.5083996426823132E-004
 The CR_zMp is (should equal CR_zMMz):   9.5083996426824477E-004
 The CR_zMq is:   8.9364756894487523E-006
 The CR_gamma is:   1.8814387220790798     
 The CR_tau is:   38.229554531915326     
 The CR_zz is:   4.9611955776068199E-006
 The refined CR_zMp is (should equal zero):  -9.7891519301657947E-020
 The refined CR_zMq is (should equal zero):  -9.4555615860095541E-022
  
 The CR_zMMMp is:   1.2992008138809058E-005
 The CR_zMMMq is:  -8.8398586850048753E-007
 The CR_beta is:   2.5707446161808603E-002
 The CR_xi is:  -3.7816234430294218     
 The CR_kappa is:   6.8095538281812085E-002  0.99767880485961524     
 The CR_chi is:   3.9025159579681924E-002   3.6035747615187640E-004
 The CR_sigma is: -0.30161528465112292       -1.6207769525361598E-002
 The CR_pMMp is:   1.8592945888270508E-005   5.0537918302091768E-004
 The CR_qMMq is:   3.3004715684048365E-011   2.3375830032202652E-007
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -1.6871519065800330E-017
 The CR_zMMz is:   9.3507187753568966E-006
 The CR_zMp is (should equal CR_zMMz):   9.3507187753571711E-006
 The CR_zMq is:   2.7638227751296619E-009
 The CR_gamma is:  0.50291754902896468     
 The CR_tau is:   83.740238867303916     
 The CR_zz is:   2.7111830068815925E-008
 The refined CR_zMp is (should equal zero):   7.7296518127596565E-022
 The refined CR_zMq is (should equal zero):   1.3294925834152780E-024
  
 The CR_zMMMp is:   7.4469247396975900E-008
 The CR_zMMMq is:  -5.8882550634726593E-010
 The CR_beta is:   4.0052419796453749E-003
 The CR_xi is:  -17.840647742099879     
 The CR_kappa is:   8.0696978255082839E-003  0.99996743945840816     
 The CR_chi is:   1.6138390976364235E-002   4.1131401684290053E-004
 The CR_sigma is: -0.31776223142585797       -6.0553318655755833E-002
 The CR_pMMp is:   6.3261445532463121E-009   1.8592945888270508E-005
 The CR_qMMq is:   3.0236345539022485E-014   3.3004715684048365E-011
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   1.4381479457942607E-016
 The CR_zMMz is:   1.1856497173487593E-008
 The CR_zMp is (should equal CR_zMMz):   1.1856497173496642E-008
 The CR_zMq is:   1.2137989928918637E-011
 The CR_gamma is:   1.8742058569326216     
 The CR_tau is:   401.43706894914152     
 The CR_zz is:   1.7674523544147116E-011
 The refined CR_zMp is (should equal zero):   8.2873127889961095E-025
 The refined CR_zMq is (should equal zero):  -3.7057767302676145E-027
  
 Conjugate residual converged in            5  iterations.
  
 Starting direction:           3
  
 The CR_zz is:   26.820594315896457     
  
 The CR_pMMp is:   152.73009312661156        0.0000000000000000     
 The CR_qMMq is:  0.82993674991606470        1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -9.2694352958762827E-016
 The CR_zMMz is:   59.975094408582898     
 The CR_zMp is (should equal CR_zMMz):   59.975094408582898     
 The CR_zMq is:   1.6032902344305837     
 The CR_gamma is:  0.39268681882400353     
 The CR_tau is:   1.9318221955983172     
 The CR_zz is:  0.17189362306171632     
 The refined CR_zMp is (should equal zero):   9.4368957093138306E-015
 The refined CR_zMq is (should equal zero):   4.1767804492831573E-015
  
 The CR_zMMMp is:  0.56518602200572032     
 The CR_zMMMq is: -0.18193133643962181     
 The CR_beta is:   3.7005544253625729E-003
 The CR_xi is: -0.21921108621593316     
 The CR_kappa is:  0.31505038972964139       0.94907494537112347     
 The CR_chi is:  0.81106019236397708        0.0000000000000000     
 The CR_sigma is: -0.33127617008662924        0.0000000000000000     
 The CR_pMMp is:  0.12243193540462864        152.73009312661156     
 The CR_qMMq is:   8.3560026894288319E-004  0.82993674991606470     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -2.1438462004663547E-017
 The CR_zMMz is:  0.12951789278371831     
 The CR_zMp is (should equal CR_zMMz):  0.12951789278371961     
 The CR_zMq is:   5.3956033099075741E-003
 The CR_gamma is:   1.0578767080310574     
 The CR_tau is:   6.4571584170665055     
 The CR_zz is:   3.9395684833950167E-005
 The refined CR_zMp is (should equal zero):   1.2827466953219124E-017
 The refined CR_zMq is (should equal zero):  -8.3856261778175734E-019
  
 The CR_zMMMp is:   7.1770961067417136E-005
 The CR_zMMMq is:  -1.5246080843732939E-005
 The CR_beta is:   5.8621111256813288E-004
 The CR_xi is:  -1.8245662920885287E-002
 The CR_kappa is:  0.21067482266830623       0.97755619740947775     
 The CR_chi is:  0.21085546675042591        7.2314617447802353E-004
 The CR_sigma is: -0.28105214592605898       -4.3138843411231254E-002
 The CR_pMMp is:   1.5313857933562060E-005  0.12243193540462864     
 The CR_qMMq is:   7.4664324692656637E-009   8.3560026894288319E-004
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -2.4462535518630242E-017
 The CR_zMMz is:   2.2521531231058874E-005
 The CR_zMp is (should equal CR_zMMz):   2.2521531231058404E-005
 The CR_zMq is:   2.1643368190251244E-007
 The CR_gamma is:   1.4706634558558824     
 The CR_tau is:   28.987563042112274     
 The CR_zz is:   2.0688393007571670E-010
 The refined CR_zMp is (should equal zero):  -5.3311790479042634E-022
 The refined CR_zMq is (should equal zero):   5.1181800401718587E-023
  
 Conjugate residual converged in            3  iterations.
  
 ###########################################################################################        
 Computing multibody polarizability for imaginary frequency point number           12
  
 Starting direction:           1
  
 The CR_zz is:   32.632416840003110     
  
 The CR_pMMp is:   71.830315417959326        0.0000000000000000     
 The CR_qMMq is:   1.5900852868401358        1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   2.1187077623354394E-015
 The CR_zMMz is:   42.794026965342944     
 The CR_zMp is (should equal CR_zMMz):   42.794026965342958     
 The CR_zMq is:   3.1810792913789956     
 The CR_gamma is:  0.59576554434345985     
 The CR_tau is:   2.0005714899107896     
 The CR_zz is:  0.77323353286846430     
 The refined CR_zMp is (should equal zero):  -2.9175077955278905E-014
 The refined CR_zMq is (should equal zero):  -1.3427142514306913E-014
  
 The CR_zMMMp is:   1.2088940496979199     
 The CR_zMMMq is: -0.49393976339188478     
 The CR_beta is:   1.6829858572438721E-002
 The CR_xi is: -0.31063727680510544     
 The CR_kappa is:  0.38937865771243219       0.92107777137333235     
 The CR_chi is:  0.66977879678288010        0.0000000000000000     
 The CR_sigma is: -0.22291198389423111        0.0000000000000000     
 The CR_pMMp is:  0.11999057083007533        71.830315417959326     
 The CR_qMMq is:   1.4484029199223758E-003   1.5900852868401358     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   3.9644492379390471E-017
 The CR_zMMz is:  0.26794438680320587     
 The CR_zMp is (should equal CR_zMMz):  0.26794438680320243     
 The CR_zMq is:   1.5760605930282477E-002
 The CR_gamma is:   2.2330453547275138     
 The CR_tau is:   10.881368515279666     
 The CR_zz is:   3.4046034407550375E-003
 The refined CR_zMp is (should equal zero):   6.4236603772751986E-017
 The refined CR_zMq is (should equal zero):  -1.1432485391756033E-018
  
 The CR_zMMMp is:   6.6054961173910602E-003
 The CR_zMMMq is:  -1.6438898135753071E-003
 The CR_beta is:   5.5050126619911113E-002
 The CR_xi is:  -1.1349672048875792     
 The CR_kappa is:  0.24497910048341942       0.96952835973288309     
 The CR_chi is:  0.12751473511384456        1.8070537722657393E-003
 The CR_sigma is: -0.30430848431669372       -3.3550339425938956E-002
 The CR_pMMp is:   3.7646208293120780E-003  0.11999057083007533     
 The CR_qMMq is:   7.6106893924819038E-007   1.4484029199223758E-003
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   1.0985234281781902E-016
 The CR_zMMz is:   3.1373984393638513E-003
 The CR_zMp is (should equal CR_zMMz):   3.1373984393638556E-003
 The CR_zMq is:   2.4410702547300217E-005
 The CR_gamma is:  0.83339028858775221     
 The CR_tau is:   32.074233079875697     
 The CR_zz is:   6.9714868132065384E-006
 The refined CR_zMp is (should equal zero):   4.6586907731647426E-019
 The refined CR_zMq is (should equal zero):   1.8048780500621179E-021
  
 The CR_zMMMp is:   2.5338204524627337E-005
 The CR_zMMMq is:  -9.4560412495428397E-007
 The CR_beta is:   6.7306126362950275E-003
 The CR_xi is:  -1.2424684232789525     
 The CR_kappa is:   3.8691656607623838E-002  0.99925119750188829     
 The CR_chi is:   5.0139438684307286E-002   2.4882804394523567E-003
 The CR_sigma is: -0.47862044628716233       -5.1544984788267016E-002
 The CR_pMMp is:   2.1373900672183370E-005   3.7646208293120780E-003
 The CR_qMMq is:   4.2861527377506463E-010   7.6106893924819038E-007
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -1.7331251102239755E-016
 The CR_zMMz is:   9.2129135239773968E-006
 The CR_zMp is (should equal CR_zMMz):   9.2129135239787673E-006
 The CR_zMq is:   3.5481054285041525E-008
 The CR_gamma is:  0.43103566659541592     
 The CR_tau is:   82.780657750572416     
 The CR_zz is:   6.3247479712921573E-008
 The refined CR_zMp is (should equal zero):   2.5144518216818800E-021
 The refined CR_zMq is (should equal zero):   8.9062191557840062E-024
  
 The CR_zMMMp is:   1.4393254144693034E-007
 The CR_zMMMq is:  -1.2760880631570601E-009
 The CR_beta is:   6.7340324844986496E-003
 The CR_xi is:  -2.9772342266709453     
 The CR_kappa is:   9.0305476358441515E-003  0.99995922377334789     
 The CR_chi is:   2.2001057899160705E-002   1.3444281161111000E-004
 The CR_sigma is: -0.27337319917062447       -2.5186440018716529E-002
 The CR_pMMp is:   3.5366412335177713E-008   2.1373900672183370E-005
 The CR_qMMq is:   5.9462522707608806E-014   4.2861527377506463E-010
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   1.7439016870817509E-016
 The CR_zMMz is:   4.3595350267020314E-008
 The CR_zMp is (should equal CR_zMMz):   4.3595350267064333E-008
 The CR_zMq is:   2.3753642827811277E-011
 The CR_gamma is:   1.2326766383284400     
 The CR_tau is:   399.47250379223766     
 The CR_zz is:   1.9582724353551567E-011
 The refined CR_zMp is (should equal zero):  -5.5828350877803654E-024
 The refined CR_zMq is (should equal zero):   1.8042050089261405E-027
  
 Conjugate residual converged in            5  iterations.
  
 Starting direction:           2
  
 The CR_zz is:   32.632416840003110     
  
 The CR_pMMp is:   77.071404065825575        0.0000000000000000     
 The CR_qMMq is:   3.1714409085110269        1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   1.9183875211129335E-016
 The CR_zMMz is:   38.314985003486477     
 The CR_zMp is (should equal CR_zMMz):   38.314985003486477     
 The CR_zMq is:   6.4305767388751844     
 The CR_gamma is:  0.49713620074654669     
 The CR_tau is:   2.0276514443695888     
 The CR_zz is:  0.54568255099917529     
 The refined CR_zMp is (should equal zero):   5.8172339441424886E-015
 The refined CR_zMq is (should equal zero):  -1.0736732677030691E-015
  
 The CR_zMMMp is:   1.5289608674966284     
 The CR_zMMMq is: -0.55620549396588037     
 The CR_beta is:   1.9838238138113650E-002
 The CR_xi is: -0.17537942847152577     
 The CR_kappa is:  0.34923220605849054       0.93703621394880987     
 The CR_chi is:  0.75147653803441139        0.0000000000000000     
 The CR_sigma is: -0.29387309763245700        0.0000000000000000     
 The CR_pMMp is:  0.30300889369439310        77.071404065825575     
 The CR_qMMq is:   1.6836209695052517E-003   3.1714409085110269     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -1.5597883896255782E-016
 The CR_zMMz is:  0.36768907644880766     
 The CR_zMp is (should equal CR_zMMz):  0.36768907644880727     
 The CR_zMq is:   1.2777686489629960E-002
 The CR_gamma is:   1.2134596841888374     
 The CR_tau is:   7.5894080206097732     
 The CR_zz is:   2.5316040826854204E-003
 The refined CR_zMp is (should equal zero):   1.5286814028993083E-016
 The refined CR_zMq is (should equal zero):   3.4961879230018643E-018
  
 The CR_zMMMp is:   3.0259830439764435E-003
 The CR_zMMMq is:  -6.1367486085537389E-004
 The CR_beta is:   9.9864495958602827E-003
 The CR_xi is: -0.36449704058729332     
 The CR_kappa is:  0.20653856250486100       0.97843846111977095     
 The CR_chi is:  0.17895735434883800        3.3193130963327655E-003
 The CR_sigma is: -0.25373780446353111       -2.9509398696773284E-002
 The CR_pMMp is:   5.8186103562189121E-004  0.30300889369439310     
 The CR_qMMq is:   7.1395995663236554E-007   1.6836209695052517E-003
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   1.5354234994069287E-016
 The CR_zMMz is:   9.8552048211110249E-004
 The CR_zMp is (should equal CR_zMMz):   9.8552048211111311E-004
 The CR_zMq is:   2.4539101579407941E-005
 The CR_gamma is:   1.6937385763557651     
 The CR_tau is:   34.370417208207222     
 The CR_zz is:   1.8970865146267427E-005
 The refined CR_zMp is (should equal zero):   3.0397499641196397E-019
 The refined CR_zMq is (should equal zero):   1.6417359165256638E-022
  
 The CR_zMMMp is:   4.2005778346542778E-005
 The CR_zMMMq is:  -2.6988680947539434E-006
 The CR_beta is:   7.2192114224742920E-002
 The CR_xi is:  -3.7801393056888943     
 The CR_kappa is:   6.5137625984662995E-002  0.99787628976796627     
 The CR_chi is:   4.5849264629092341E-002   3.6882208659007424E-004
 The CR_sigma is: -0.29859948387963492       -1.3579367364151676E-002
 The CR_pMMp is:   3.1457508373299031E-005   5.8186103562189121E-004
 The CR_qMMq is:   5.0176055510000502E-010   7.1395995663236554E-007
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   2.2889981903303945E-017
 The CR_zMMz is:   2.1614415191222860E-005
 The CR_zMp is (should equal CR_zMMz):   2.1614415191222718E-005
 The CR_zMq is:   4.3020198168075816E-008
 The CR_gamma is:  0.68709876620644628     
 The CR_tau is:   85.738501623551372     
 The CR_zz is:   4.3113980562535766E-007
 The refined CR_zMp is (should equal zero):  -1.1984465559567276E-021
 The refined CR_zMq is (should equal zero):   3.7974751585301222E-024
  
 The CR_zMMMp is:   7.8354443977687537E-007
 The CR_zMMMq is:  -7.8524299607283972E-009
 The CR_beta is:   2.4908026105524103E-002
 The CR_xi is:  -15.649755408061806     
 The CR_kappa is:   1.0063503252088943E-002  0.99994936166902726     
 The CR_chi is:   1.5088074483527083E-002   1.0435337058239097E-003
 The CR_sigma is: -0.22269395783296930       -5.4810343171154435E-002
 The CR_pMMp is:   4.4129997411326665E-008   3.1457508373299031E-005
 The CR_qMMq is:   5.8463701264026274E-014   5.0176055510000502E-010
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -2.3214719002317429E-017
 The CR_zMMz is:   1.3488316109821716E-007
 The CR_zMp is (should equal CR_zMMz):   1.3488316109816424E-007
 The CR_zMq is:   3.3169691038245506E-011
 The CR_gamma is:   3.0564960120198044     
 The CR_tau is:   567.35530459231109     
 The CR_zz is:   5.0961477957425257E-011
 The refined CR_zMp is (should equal zero):  -4.1858150810993770E-023
 The refined CR_zMq is (should equal zero):   6.1912607995744034E-027
  
 Conjugate residual converged in            5  iterations.
  
 Starting direction:           3
  
 The CR_zz is:   32.632416840003110     
  
 The CR_pMMp is:   240.37335149533655        0.0000000000000000     
 The CR_qMMq is:   1.0379423671693202        1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   4.2172728598916536E-016
 The CR_zMMz is:   83.048096130816873     
 The CR_zMp is (should equal CR_zMMz):   83.048096130816873     
 The CR_zMq is:   1.9569516585491704     
 The CR_gamma is:  0.34549626909215880     
 The CR_tau is:   1.8854145667896527     
 The CR_zz is:  0.24994430806714965     
 The refined CR_zMp is (should equal zero):  -1.7208456881689926E-015
 The refined CR_zMq is (should equal zero):  -2.1259036198095771E-015
  
 The CR_zMMMp is:  0.78622590547090154     
 The CR_zMMMq is: -0.22542661931218555     
 The CR_beta is:   3.2708530316687581E-003
 The CR_xi is: -0.21718606585736525     
 The CR_kappa is:  0.28851591204521837       0.95747510071892517     
 The CR_chi is:  0.84306187023304358        0.0000000000000000     
 The CR_sigma is: -0.34448720872176819        0.0000000000000000     
 The CR_pMMp is:  0.13403156289256901        240.37335149533655     
 The CR_qMMq is:   1.6266510154188815E-003   1.0379423671693202     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -1.6154079608836828E-016
 The CR_zMMz is:  0.15338451478953893     
 The CR_zMp is (should equal CR_zMMz):  0.15338451478953802     
 The CR_zMq is:   1.0998309159858773E-002
 The CR_gamma is:   1.1443910037256007     
 The CR_tau is:   6.7613206862484772     
 The CR_zz is:   4.9353994876699862E-005
 The refined CR_zMp is (should equal zero):   1.8756697583999227E-017
 The refined CR_zMq is (should equal zero):   5.5158785525200038E-018
  
 The CR_zMMMp is:   1.0765918898558529E-004
 The CR_zMMMq is:  -2.4854811509253875E-005
 The CR_beta is:   8.0323758570119701E-004
 The CR_xi is:  -1.5279744255932778E-002
 The CR_kappa is:  0.22501373985239878       0.97435559057134624     
 The CR_chi is:  0.21701527592524550        6.2187262779688911E-004
 The CR_sigma is: -0.28439343736628642       -4.1801891549912699E-002
 The CR_pMMp is:   4.0920782243453045E-005  0.13403156289256901     
 The CR_qMMq is:   2.7004956064148303E-010   1.6266510154188815E-003
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   3.1475065107229268E-017
 The CR_zMMz is:   4.4847143860998587E-005
 The CR_zMp is (should equal CR_zMMz):   4.4847143860999657E-005
 The CR_zMq is:   7.3721960069209732E-009
 The CR_gamma is:   1.0959503069659622     
 The CR_tau is:   27.299418630450127     
 The CR_zz is:   2.4971306719744436E-009
 The refined CR_zMp is (should equal zero):   1.4955425474958740E-021
 The refined CR_zMq is (should equal zero):  -4.7304391280376270E-024
  
 The CR_zMMMp is:   3.5123910505351958E-009
 The CR_zMMMq is:  -2.1386968871012252E-010
 The CR_beta is:   8.5833917583458383E-005
 The CR_xi is: -0.79196458680432835     
 The CR_kappa is:   6.3868211891090182E-002  0.99795834157034569     
 The CR_chi is:   5.8319917110194353E-002   4.6790042902347904E-005
 The CR_sigma is: -0.26524235419189157       -8.9017366911016828E-004
 The CR_pMMp is:   2.3357521611898567E-009   4.0920782243453045E-005
 The CR_qMMq is:   1.4785643997324774E-013   2.7004956064148303E-010
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -2.7167326694536380E-017
 The CR_zMMz is:   1.9891121136522088E-009
 The CR_zMp is (should equal CR_zMMz):   1.9891121136738264E-009
 The CR_zMq is:   1.0897095952287967E-011
 The CR_gamma is:  0.85159382349048185     
 The CR_tau is:   73.700516218702560     
 The CR_zz is:   9.3484771358876418E-014
 The refined CR_zMp is (should equal zero):  -3.5479808073220227E-025
 The refined CR_zMq is (should equal zero):   1.9662358062633719E-027
  
 Conjugate residual converged in            4  iterations.
  
 ###########################################################################################        
 Computing multibody polarizability for imaginary frequency point number           13
  
 Starting direction:           1
  
 The CR_zz is:   37.888997438733078     
  
 The CR_pMMp is:   96.047063767889000        0.0000000000000000     
 The CR_qMMq is:   2.0725627571564966        1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   1.2030446899962191E-015
 The CR_zMMz is:   52.731189886362422     
 The CR_zMp is (should equal CR_zMMz):   52.731189886362401     
 The CR_zMq is:   4.0233730182533813     
 The CR_gamma is:  0.54901407516001333     
 The CR_tau is:   1.9412550979992262     
 The CR_zz is:   1.1284386083479010     
 The refined CR_zMp is (should equal zero):  -2.8455392102899252E-014
 The refined CR_zMq is (should equal zero):  -9.2476586745086291E-015
  
 The CR_zMMMp is:   1.7588361263787569     
 The CR_zMMMq is: -0.68069513113835745     
 The CR_beta is:   1.8312232122256515E-002
 The CR_xi is: -0.32843161385002106     
 The CR_kappa is:  0.39773755719536941       0.91749922920744753     
 The CR_chi is:  0.74862950933929573        0.0000000000000000     
 The CR_sigma is: -0.33544446732177535        0.0000000000000000     
 The CR_pMMp is:  0.26194579402022755        96.047063767889000     
 The CR_qMMq is:   8.7994475400286331E-003   2.0725627571564966     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -4.7912739663044347E-018
 The CR_zMMz is:  0.35577710422370767     
 The CR_zMp is (should equal CR_zMMz):  0.35577710422370529     
 The CR_zMq is:   7.5017926268165017E-002
 The CR_gamma is:   1.3582088826981968     
 The CR_tau is:   8.5252995630588089     
 The CR_zz is:   5.6686910950569554E-003
 The refined CR_zMp is (should equal zero):   1.7691654455528238E-016
 The refined CR_zMq is (should equal zero):  -6.0046268414510809E-018
  
 The CR_zMMMp is:   9.7926181101163634E-003
 The CR_zMMMq is:  -1.9370544017950158E-003
 The CR_beta is:   3.7384139519186836E-002
 The CR_xi is: -0.22013363827483112     
 The CR_kappa is:  0.20059242486210310       0.97967478230683347     
 The CR_chi is:  0.21179165622418281        2.5193565829851384E-003
 The CR_sigma is: -0.30489941466170589       -4.6079001756162113E-002
 The CR_pMMp is:   2.7370692464179767E-003  0.26194579402022755     
 The CR_qMMq is:   2.3693697938215772E-006   8.7994475400286331E-003
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   3.9313707886299189E-018
 The CR_zMMz is:   3.2135481431777415E-003
 The CR_zMp is (should equal CR_zMMz):   3.2135481431777662E-003
 The CR_zMq is:   6.6641663058589358E-005
 The CR_gamma is:   1.1740836105565693     
 The CR_tau is:   28.126324237088564     
 The CR_zz is:   2.1331865532753958E-005
 The refined CR_zMp is (should equal zero):  -8.1062429815202367E-019
 The refined CR_zMq is (should equal zero):   4.7999767687598650E-021
  
 The CR_zMMMp is:   8.0945204472703856E-005
 The CR_zMMMq is:  -4.6550929984717270E-006
 The CR_beta is:   2.9573677969104165E-002
 The CR_xi is:  -1.9646966930237963     
 The CR_kappa is:   5.8212376863694897E-002  0.99830422175801659     
 The CR_chi is:   5.7668515518739243E-002   1.7730358026207477E-003
 The CR_sigma is: -0.39095750390664363       -1.0532640521052461E-002
 The CR_pMMp is:   7.8883968471673825E-005   2.7370692464179767E-003
 The CR_qMMq is:   8.7731460776111098E-010   2.3693697938215772E-006
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   4.7546024388751425E-018
 The CR_zMMz is:   3.5894217104209568E-005
 The CR_zMp is (should equal CR_zMMz):   3.5894217104209826E-005
 The CR_zMq is:   6.4813755017990687E-008
 The CR_gamma is:  0.45502549883882881     
 The CR_tau is:   73.877437403435096     
 The CR_zz is:   2.1080736025848229E-007
 The refined CR_zMp is (should equal zero):  -8.6300688896690969E-021
 The refined CR_zMq is (should equal zero):   3.2373080742427378E-024
  
 The CR_zMMMp is:   4.5153131405521831E-007
 The CR_zMMMq is:  -4.5509778296371088E-009
 The CR_beta is:   5.7239933893203808E-003
 The CR_xi is:  -5.1873954786312195     
 The CR_kappa is:   1.0177630356393196E-002  0.99994820657888506     
 The CR_chi is:   2.2837793516947449E-002   6.4883478043053719E-004
 The CR_sigma is: -0.26132760265961252       -4.3334958095152087E-002
 The CR_pMMp is:   8.8787011084837020E-008   7.8883968471673825E-005
 The CR_qMMq is:   1.1034700798382946E-013   8.7731460776111098E-010
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   7.4201486930002926E-017
 The CR_zMMz is:   1.3075631831402500E-007
 The CR_zMp is (should equal CR_zMMz):   1.3075631831411777E-007
 The CR_zMq is:   4.4776689912010952E-011
 The CR_gamma is:   1.4726964757173613     
 The CR_tau is:   405.78073415975757     
 The CR_zz is:   7.3472993763949694E-011
 The refined CR_zMp is (should equal zero):   1.9272051774835709E-023
 The refined CR_zMq is (should equal zero):  -1.4339716319881247E-026
  
 Conjugate residual converged in            5  iterations.
  
 Starting direction:           2
  
 The CR_zz is:   37.888997438733078     
  
 The CR_pMMp is:   118.66799258158136        0.0000000000000000     
 The CR_qMMq is:   3.8483115715971108        1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   3.5905834773776289E-016
 The CR_zMMz is:   51.486799695527985     
 The CR_zMp is (should equal CR_zMMz):   51.486799695527978     
 The CR_zMq is:   7.5867344910127059     
 The CR_gamma is:  0.43387267767365373     
 The CR_tau is:   1.9714449700506163     
 The CR_zz is:  0.59345223857078955     
 The refined CR_zMp is (should equal zero):  -1.4905275278123813E-014
 The refined CR_zMq is (should equal zero):  -2.2972370424351497E-015
  
 The CR_zMMMp is:   1.7530964826438777     
 The CR_zMMMq is: -0.57409044688513988     
 The CR_beta is:   1.4773119899526965E-002
 The CR_xi is: -0.14917982502307711     
 The CR_kappa is:  0.31889002197035432       0.94779172495213682     
 The CR_chi is:  0.77957495213106942        0.0000000000000000     
 The CR_sigma is: -0.30457207250059898        0.0000000000000000     
 The CR_pMMp is:  0.28701200011033928        118.66799258158136     
 The CR_qMMq is:   2.0076689775786953E-003   3.8483115715971108     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -2.8868364729934196E-016
 The CR_zMMz is:  0.37116705872084493     
 The CR_zMp is (should equal CR_zMMz):  0.37116705872084466     
 The CR_zMq is:   1.4926800934655799E-002
 The CR_gamma is:   1.2932109409298311     
 The CR_tau is:   7.4348914593769022     
 The CR_zz is:   2.4757925353562226E-003
 The refined CR_zMp is (should equal zero):   1.2049925516433829E-016
 The refined CR_zMq is (should equal zero):   7.9312400798247229E-018
  
 The CR_zMMMp is:   2.8615896635336212E-003
 The CR_zMMMq is:  -6.3131782057590817E-004
 The CR_beta is:   9.9702788121524798E-003
 The CR_xi is: -0.31445314323544266     
 The CR_kappa is:  0.23166845052627311       0.97279480314748579     
 The CR_chi is:  0.19131714991947241        2.5914059823727038E-003
 The CR_sigma is: -0.30601304585325506       -2.6350576302494769E-002
 The CR_pMMp is:   9.4121566178577193E-004  0.28701200011033928     
 The CR_qMMq is:   1.7085613428143766E-006   2.0076689775786953E-003
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -1.4229753213198444E-018
 The CR_zMMz is:   9.9314041100947623E-004
 The CR_zMp is (should equal CR_zMMz):   9.9314041100946994E-004
 The CR_zMq is:   4.8797348400210246E-005
 The CR_gamma is:   1.0551677488294033     
 The CR_tau is:   28.560489563594054     
 The CR_zz is:   3.4186643884583293E-005
 The refined CR_zMp is (should equal zero):   8.4526184370289920E-020
 The refined CR_zMq is (should equal zero):   5.3193319474514287E-021
  
 The CR_zMMMp is:   7.1057164432000169E-005
 The CR_zMMMq is:  -3.7373987644708573E-006
 The CR_beta is:   7.5495093544430777E-002
 The CR_xi is:  -2.1874536610517823     
 The CR_kappa is:   5.5363033870123507E-002  0.99846629110886631     
 The CR_chi is:   6.8867593106886921E-002   4.7546753087822732E-004
 The CR_sigma is: -0.33790583340808406       -1.5313826486816612E-002
 The CR_pMMp is:   5.5496508355905160E-005   9.4121566178577193E-004
 The CR_qMMq is:   2.8410264084342414E-009   1.7085613428143766E-006
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -1.2695699232224284E-016
 The CR_zMMz is:   3.1764710175768069E-005
 The CR_zMp is (should equal CR_zMMz):   3.1764710175769743E-005
 The CR_zMq is:   2.0227351840714878E-007
 The CR_gamma is:  0.57237312971221888     
 The CR_tau is:   71.197338330489728     
 The CR_zz is:   1.6040411815440762E-006
 The refined CR_zMp is (should equal zero):  -1.7117870425883283E-021
 The refined CR_zMq is (should equal zero):   1.2125151418435162E-022
  
 The CR_zMMMp is:   2.2976887323371439E-006
 The CR_zMMMq is:  -2.4094531612921727E-008
 The CR_beta is:   4.1402401707902332E-002
 The CR_xi is:  -8.4809249014340597     
 The CR_kappa is:   1.0638321901856040E-002  0.99994341145242438     
 The CR_chi is:   1.9852716648842084E-002   1.3503465963270059E-003
 The CR_sigma is: -0.20060191160469620       -3.9581525581260137E-002
 The CR_pMMp is:   1.1300958966245758E-007   5.5496508355905160E-005
 The CR_qMMq is:   6.6097413754634940E-013   2.8410264084342414E-009
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -7.7943816297930467E-017
 The CR_zMMz is:   4.0033122832584065E-007
 The CR_zMp is (should equal CR_zMMz):   4.0033122832567802E-007
 The CR_zMq is:   3.5038422653432779E-010
 The CR_gamma is:   3.5424536052330282     
 The CR_tau is:   530.10277805273108     
 The CR_zz is:   1.4672660270717776E-010
 The refined CR_zMp is (should equal zero):  -6.1971107800411542E-023
 The refined CR_zMq is (should equal zero):   3.2954738271317633E-026
  
 Conjugate residual converged in            5  iterations.
  
 Starting direction:           3
  
 The CR_zz is:   37.888997438733078     
  
 The CR_pMMp is:   340.95902086992555        0.0000000000000000     
 The CR_qMMq is:   1.2162606601773061        1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -1.2430272638805710E-015
 The CR_zMMz is:   106.77730934582888     
 The CR_zMp is (should equal CR_zMMz):   106.77730934582888     
 The CR_zMq is:   2.2461149474355793     
 The CR_gamma is:  0.31316757384332111     
 The CR_tau is:   1.8467381384415915     
 The CR_zz is:  0.30182039262903959     
 The refined CR_zMp is (should equal zero):   2.8532731732866523E-014
 The refined CR_zMq is (should equal zero):   7.2147149365875407E-015
  
 The CR_zMMMp is:  0.90796207459605605     
 The CR_zMMMq is: -0.23734985976636233     
 The CR_beta is:   2.6629653976582711E-003
 The CR_xi is: -0.19514719791377741     
 The CR_kappa is:  0.27039958082929605       0.96274818446327948     
 The CR_chi is:  0.87090495821389136        0.0000000000000000     
 The CR_sigma is: -0.36272241078442391        0.0000000000000000     
 The CR_pMMp is:  0.13013632886024903        340.95902086992555     
 The CR_qMMq is:   2.4201508058554573E-003   1.2162606601773061     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   7.3311318312378216E-017
 The CR_zMMz is:  0.15397875814133916     
 The CR_zMp is (should equal CR_zMMz):  0.15397875814134049     
 The CR_zMq is:   1.7004417806964614E-002
 The CR_gamma is:   1.1832111716221485     
 The CR_tau is:   7.0261810817008223     
 The CR_zz is:   1.5488710306930164E-004
 The refined CR_zMp is (should equal zero):  -2.9544509200229996E-017
 The refined CR_zMq is (should equal zero):  -2.9476746564449652E-018
  
 The CR_zMMMp is:   2.7161809072819422E-004
 The CR_zMMMq is:  -6.3540642672974508E-005
 The CR_beta is:   2.0871811361751246E-003
 The CR_xi is:  -2.6254827806284006E-002
 The CR_kappa is:  0.22878504548397327       0.97347696581012955     
 The CR_chi is:  0.22174222953068082        4.8939586571378278E-004
 The CR_sigma is: -0.25702932426371533       -3.6520668613611737E-002
 The CR_pMMp is:   1.0741585067501384E-004  0.13013632886024903     
 The CR_qMMq is:   8.8964227622733161E-009   2.4201508058554573E-003
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   9.4771221261516838E-017
 The CR_zMMz is:   1.2506650213371992E-004
 The CR_zMp is (should equal CR_zMMz):   1.2506650213371814E-004
 The CR_zMq is:   2.8680520805565726E-007
 The CR_gamma is:   1.1643207343030431     
 The CR_tau is:   32.238262020539310     
 The CR_zz is:   2.3480022104285693E-008
 The refined CR_zMp is (should equal zero):  -1.4928955695357043E-020
 The refined CR_zMq is (should equal zero):  -2.3781442610899546E-022
  
 The CR_zMMMp is:   2.9679798046913655E-008
 The CR_zMMMq is:  -1.7318697967828796E-009
 The CR_beta is:   2.7630743377632177E-004
 The CR_xi is: -0.19467035718301817     
 The CR_kappa is:   6.0789035478623077E-002  0.99815063651013058     
 The CR_chi is:   5.2752479507461418E-002   1.0824936626594577E-004
 The CR_sigma is: -0.23687740207359417       -1.3642224748528506E-003
 The CR_pMMp is:   2.6175426723296850E-008   1.0741585067501384E-004
 The CR_qMMq is:   9.2246997319587485E-013   8.8964227622733161E-009
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -4.1587936550246799E-017
 The CR_zMMz is:   2.1275668040481939E-008
 The CR_zMp is (should equal CR_zMMz):   2.1275668040587911E-008
 The CR_zMq is:   7.5539357915339896E-011
 The CR_gamma is:  0.81281074289619815     
 The CR_tau is:   81.888148243606921     
 The CR_zz is:   1.1524194042982691E-012
 The refined CR_zMp is (should equal zero):  -2.4993132961319020E-024
 The refined CR_zMq is (should equal zero):  -9.4726417498939098E-027
  
 Conjugate residual converged in            4  iterations.
  
 ###########################################################################################        
 Computing multibody polarizability for imaginary frequency point number           14
  
 Starting direction:           1
  
 The CR_zz is:   41.902164485758846     
  
 The CR_pMMp is:   118.24945105205957        0.0000000000000000     
 The CR_qMMq is:   2.5125113939800090        1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -1.5797581213138488E-015
 The CR_zMMz is:   61.073121693735388     
 The CR_zMp is (should equal CR_zMMz):   61.073121693735388     
 The CR_zMq is:   4.7419903073082006     
 The CR_gamma is:  0.51647699968474114     
 The CR_tau is:   1.8873507673119554     
 The CR_zz is:   1.4095027869132679     
 The refined CR_zMp is (should equal zero):   5.9658773476383667E-014
 The refined CR_zMq is (should equal zero):   1.3726205437151881E-014
  
 The CR_zMMMp is:   2.3154993493744342     
 The CR_zMMMq is: -0.87227318289667477     
 The CR_beta is:   1.9581480749158241E-002
 The CR_xi is: -0.34717183173244354     
 The CR_kappa is:  0.40263316250859787       0.91536142394593234     
 The CR_chi is:  0.81037977453527810        0.0000000000000000     
 The CR_sigma is: -0.42495315654525068        0.0000000000000000     
 The CR_pMMp is:  0.51261649463688497        118.24945105205957     
 The CR_qMMq is:   1.7772658930465715E-002   2.5125113939800090     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -8.6733023979491736E-016
 The CR_zMMz is:  0.45038330430886009     
 The CR_zMp is (should equal CR_zMMz):  0.45038330430886386     
 The CR_zMq is:  0.13385160305903127     
 The CR_gamma is:  0.87859698043445833     
 The CR_tau is:   7.5313212042562849     
 The CR_zz is:   5.7179593672274749E-003
 The refined CR_zMp is (should equal zero):   6.4548438519265915E-016
 The refined CR_zMq is (should equal zero):   9.0883649294474108E-017
  
 The CR_zMMMp is:   8.6868453801752267E-003
 The CR_zMMMq is:  -1.3804969838102747E-003
 The CR_beta is:   1.6946090246917643E-002
 The CR_xi is:  -7.7675320795350472E-002
 The CR_kappa is:  0.16890094404213993       0.98563303064663665     
 The CR_chi is:  0.28469741148972144        3.3077524997364655E-003
 The CR_sigma is: -0.31189842366155818       -6.0859715461694136E-002
 The CR_pMMp is:   2.4181941320374220E-003  0.51261649463688497     
 The CR_qMMq is:   4.4954039063601412E-006   1.7772658930465715E-002
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -3.0601171337083908E-017
 The CR_zMMz is:   2.7647300861096294E-003
 The CR_zMp is (should equal CR_zMMz):   2.7647300861096537E-003
 The CR_zMq is:   1.0655295951395775E-004
 The CR_gamma is:   1.1433036121794993     
 The CR_tau is:   23.702644241423020     
 The CR_zz is:   3.1446580846877842E-005
 The refined CR_zMp is (should equal zero):   5.6656381548566575E-019
 The refined CR_zMq is (should equal zero):   1.2710665778960742E-020
  
 The CR_zMMMp is:   1.1446584007779065E-004
 The CR_zMMMq is:  -7.2908356445735640E-006
 The CR_beta is:   4.7335256736128442E-002
 The CR_xi is:  -1.6218421740165370     
 The CR_kappa is:   6.4330577015752760E-002  0.99792864317085339     
 The CR_chi is:   7.0009974817791726E-002   8.9890119559355320E-004
 The CR_sigma is: -0.35740705700333064       -4.1868300547667631E-003
 The CR_pMMp is:   6.8720728839427592E-005   2.4181941320374220E-003
 The CR_qMMq is:   1.3991426880462167E-009   4.4954039063601412E-006
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   4.1811376668475926E-017
 The CR_zMMz is:   4.1942875073958939E-005
 The CR_zMp is (should equal CR_zMMz):   4.1942875073955036E-005
 The CR_zMq is:   8.7919818438861585E-008
 The CR_gamma is:  0.61033804184409168     
 The CR_tau is:   62.838350362702535     
 The CR_zz is:   3.2251225004238876E-007
 The refined CR_zMp is (should equal zero):  -1.7980563410687698E-021
 The refined CR_zMq is (should equal zero):  -1.3062712526636839E-023
  
 The CR_zMMMp is:   5.7885437820816340E-007
 The CR_zMMMq is:  -8.1391638536452801E-009
 The CR_beta is:   8.4232863647402626E-003
 The CR_xi is:  -5.8172507516091354     
 The CR_kappa is:   1.4163596657620405E-002  0.99989969123393585     
 The CR_chi is:   2.3715732897392799E-002   1.0820945835591522E-003
 The CR_sigma is: -0.24378632481433377       -3.7211844275021957E-002
 The CR_pMMp is:   8.3581101339590141E-008   6.8720728839427592E-005
 The CR_qMMq is:   1.6087419112533544E-013   1.3991426880462167E-009
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -2.0998867049986254E-017
 The CR_zMMz is:   1.5815478219013397E-007
 The CR_zMp is (should equal CR_zMMz):   1.5815478219008606E-007
 The CR_zMq is:   6.0312512056392339E-011
 The CR_gamma is:   1.8922313735434395     
 The CR_tau is:   374.90483485572571     
 The CR_zz is:   6.3535693414309658E-010
 The refined CR_zMp is (should equal zero):  -3.2478110287320134E-023
 The refined CR_zMq is (should equal zero):  -1.4041576201514281E-026
  
 The CR_zMMMp is:   6.4007416140454872E-010
 The CR_zMMMq is:  -5.0893265839135118E-012
 The CR_beta is:   7.6581206893161936E-003
 The CR_xi is:  -31.635444742957368     
 The CR_kappa is:   7.9669787182604541E-003  0.99996826312143672     
 The CR_chi is:   4.2831134736219393E-003   3.5160865614702891E-005
 The CR_sigma is: -0.19094404559856754       -2.4347600889382429E-002
 The CR_pMMp is:   7.8078357441486833E-010   8.3581101339590141E-008
 The CR_qMMq is:   8.0037940155484103E-018   1.6087419112533544E-013
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   1.4344816635615233E-016
 The CR_zMMz is:   6.9684473291299906E-010
 The CR_zMp is (should equal CR_zMMz):   6.9684473291954764E-010
 The CR_zMq is:   1.0292157160339484E-014
 The CR_gamma is:  0.89249409920255329     
 The CR_tau is:   1285.9097998206389     
 The CR_zz is:   1.9233619824630631E-013
 The refined CR_zMp is (should equal zero):   3.7941054097509784E-026
 The refined CR_zMq is (should equal zero):  -7.2599855183621243E-030
  
 Conjugate residual converged in            6  iterations.
  
 Starting direction:           2
  
 The CR_zz is:   41.902164485758846     
  
 The CR_pMMp is:   159.33208734765336        0.0000000000000000     
 The CR_qMMq is:   4.3271990574244983        1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -3.9224141577982212E-016
 The CR_zMMz is:   63.235907387025925     
 The CR_zMp is (should equal CR_zMMz):   63.235907387025925     
 The CR_zMq is:   8.3731387155488832     
 The CR_gamma is:  0.39688118344328754     
 The CR_tau is:   1.9350019734318586     
 The CR_zz is:  0.60298278748006529     
 The refined CR_zMp is (should equal zero):   1.5087567498197953E-015
 The refined CR_zMq is (should equal zero):   4.8405935772617740E-015
  
 The CR_zMMMp is:   1.8481515099384451     
 The CR_zMMMq is: -0.56477395888460946     
 The CR_beta is:   1.1599367966013562E-002
 The CR_xi is: -0.13051721249467010     
 The CR_kappa is:  0.30022661244522814       0.95386790551924050     
 The CR_chi is:  0.79754787839025598        0.0000000000000000     
 The CR_sigma is: -0.31219779572014295        0.0000000000000000     
 The CR_pMMp is:  0.26741716169881236        159.33208734765336     
 The CR_qMMq is:   2.2124921545002732E-003   4.3271990574244983     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -7.6831955208762660E-017
 The CR_zMMz is:  0.35934216653777540     
 The CR_zMp is (should equal CR_zMMz):  0.35934216653777601     
 The CR_zMq is:   1.6144513861279720E-002
 The CR_gamma is:   1.3437513294023264     
 The CR_tau is:   7.2969812925398676     
 The CR_zz is:   2.3100578617072506E-003
 The refined CR_zMp is (should equal zero):   2.9564732552577862E-016
 The refined CR_zMq is (should equal zero):   1.3930090192376940E-018
  
 The CR_zMMMp is:   2.9021027205598732E-003
 The CR_zMMMq is:  -6.8749732729938640E-004
 The CR_beta is:   1.0852342841887106E-002
 The CR_xi is: -0.31073435713703973     
 The CR_kappa is:  0.24912669235555296       0.96847090361867949     
 The CR_chi is:  0.20055801816987515        2.0994470161263021E-003
 The CR_sigma is: -0.34100561551114117       -2.3812001308263348E-002
 The CR_pMMp is:   1.5975162749332155E-003  0.26741716169881236     
 The CR_qMMq is:   2.2089807492540805E-006   2.2124921545002732E-003
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -1.1585428372874786E-016
 The CR_zMMz is:   1.1169507471733935E-003
 The CR_zMp is (should equal CR_zMMz):   1.1169507471733985E-003
 The CR_zMq is:   5.7170093845295721E-005
 The CR_gamma is:  0.69917957312835066     
 The CR_tau is:   25.880756934889849     
 The CR_zz is:   4.9503412338220849E-005
 The refined CR_zMp is (should equal zero):  -7.3951497725889211E-021
 The refined CR_zMq is (should equal zero):  -3.5873058137481033E-021
  
 The CR_zMMMp is:   1.1140852142695285E-004
 The CR_zMMMq is:  -5.0950845107545883E-006
 The CR_beta is:   6.9738583058636006E-002
 The CR_xi is:  -2.3065318756060122     
 The CR_kappa is:   4.8908432068051726E-002  0.99880326655084839     
 The CR_chi is:   8.7885101247791614E-002   6.6441894000503340E-004
 The CR_sigma is: -0.35667498462481956       -1.9628076777184981E-002
 The CR_pMMp is:   1.2355855420851088E-004   1.5975162749332155E-003
 The CR_qMMq is:   5.6183382969931271E-009   2.2089807492540805E-006
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -3.3741498245919837E-017
 The CR_zMMz is:   5.3970081331396472E-005
 The CR_zMp is (should equal CR_zMMz):   5.3970081331396072E-005
 The CR_zMq is:   3.5982904931926181E-007
 The CR_gamma is:  0.43679761127925643     
 The CR_tau is:   64.045457980313927     
 The CR_zz is:   2.8839934738467739E-006
 The refined CR_zMp is (should equal zero):  -7.2658370676760003E-021
 The refined CR_zMq is (should equal zero):   4.8241390920526442E-023
  
 The CR_zMMMp is:   3.9051872922238187E-006
 The CR_zMMMq is:  -3.7950194121727814E-008
 The CR_beta is:   3.1605964615235231E-002
 The CR_xi is:  -6.7547007879604442     
 The CR_kappa is:   1.0074652419412787E-002  0.99994924940150232     
 The CR_chi is:   2.4435370782790716E-002   1.5319544388404361E-003
 The CR_sigma is: -0.20944556319699686       -5.1704080636858496E-002
 The CR_pMMp is:   2.3264944887286368E-007   1.2355855420851088E-004
 The CR_qMMq is:   3.1151231609581502E-012   5.6183382969931271E-009
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -7.3393376406956860E-017
 The CR_zMMz is:   7.2476108212696377E-007
 The CR_zMp is (should equal CR_zMMz):   7.2476108212689548E-007
 The CR_zMq is:   1.3951364751981459E-009
 The CR_gamma is:   3.1152495122520443     
 The CR_tau is:   447.85917060467989     
 The CR_zz is:   1.3572015891208456E-009
 The refined CR_zMp is (should equal zero):   3.5155428468993347E-023
 The refined CR_zMq is (should equal zero):   3.2736948566528084E-025
  
 The CR_zMMMp is:   1.8566726421765082E-009
 The CR_zMMMq is:  -1.7141706650679218E-011
 The CR_beta is:   7.9805589532736306E-003
 The CR_xi is:  -5.5027380186813444     
 The CR_kappa is:   9.2484086788475126E-003  0.99995723255392732     
 The CR_chi is:   3.4260826104841021E-003   9.1277099515582963E-005
 The CR_sigma is: -0.23760001825818128       -1.9670089671819602E-002
 The CR_pMMp is:   2.7242586016092561E-009   2.3264944887286368E-007
 The CR_qMMq is:   2.2503208409355252E-017   3.1151231609581502E-012
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   1.3142500430269344E-017
 The CR_zMMz is:   1.8930719804374885E-009
 The CR_zMp is (should equal CR_zMMz):   1.8930719804291455E-009
 The CR_zMq is:   3.0293833276651450E-014
 The CR_gamma is:  0.69489437578021507     
 The CR_tau is:   1346.2006272873250     
 The CR_zz is:   9.3493961355302034E-013
 The refined CR_zMp is (should equal zero):   1.3573456279594818E-025
 The refined CR_zMq is (should equal zero):   1.4341244737885113E-029
  
 Conjugate residual converged in            6  iterations.
  
 Starting direction:           3
  
 The CR_zz is:   41.902164485758846     
  
 The CR_pMMp is:   431.74690685805194        0.0000000000000000     
 The CR_qMMq is:   1.3476279323824032        1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   3.5900889831869074E-016
 The CR_zMMz is:   126.57033981971792     
 The CR_zMp is (should equal CR_zMMz):   126.57033981971794     
 The CR_zMq is:   2.4545982828214576     
 The CR_gamma is:  0.29315864875745651     
 The CR_tau is:   1.8214213462332274     
 The CR_zz is:  0.32611698267980838     
 The refined CR_zMp is (should equal zero):   2.1982415887578100E-014
 The refined CR_zMq is (should equal zero):  -2.6194324487249787E-015
  
 The CR_zMMMp is:  0.94786512051753247     
 The CR_zMMMq is: -0.23256538709800467     
 The CR_beta is:   2.1954184395099044E-003
 The CR_xi is: -0.17257388445998154     
 The CR_kappa is:  0.25947855027391320       0.96574887105693707     
 The CR_chi is:  0.89230819364195801        0.0000000000000000     
 The CR_sigma is: -0.37971212243606983        0.0000000000000000     
 The CR_pMMp is:  0.12344729727367541        431.74690685805194     
 The CR_qMMq is:   2.9644267219590625E-003   1.3476279323824032     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   0.0000000000000000     
 The CR_zMMz is:  0.14572470252008440     
 The CR_zMp is (should equal CR_zMMz):  0.14572470252008360     
 The CR_zMq is:   2.1350907290255777E-002
 The CR_gamma is:   1.1804608585072582     
 The CR_tau is:   7.2023731037432688     
 The CR_zz is:   3.1747482938124499E-004
 The refined CR_zMp is (should equal zero):   2.2117724318704290E-017
 The refined CR_zMq is (should equal zero):   4.6485168145316003E-018
  
 The CR_zMMMp is:   4.7548395706196312E-004
 The CR_zMMMq is:  -1.1078142379213377E-004
 The CR_beta is:   3.8517162186859637E-003
 The CR_xi is:  -3.7370268919625402E-002
 The CR_kappa is:  0.22861536553007136       0.97351682812550899     
 The CR_chi is:  0.22836300685417546        3.9737225536326043E-004
 The CR_sigma is: -0.23685352290141048       -3.1987918730138218E-002
 The CR_pMMp is:   1.9451392905675354E-004  0.12344729727367541     
 The CR_qMMq is:   2.4707352156759313E-008   2.9644267219590625E-003
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -1.3281727159862542E-016
 The CR_zMMz is:   2.3659894694367473E-004
 The CR_zMp is (should equal CR_zMMz):   2.3659894694366722E-004
 The CR_zMq is:   8.5535833996480786E-007
 The CR_gamma is:   1.2163599187523197     
 The CR_tau is:   34.619587503260774     
 The CR_zz is:   7.3200602906005426E-008
 The refined CR_zMp is (should equal zero):  -1.1011428314305904E-020
 The refined CR_zMq is (should equal zero):   4.5660369812927128E-022
  
 The CR_zMMMp is:   8.7576763460748605E-008
 The CR_zMMMq is:  -4.9974088920197499E-009
 The CR_beta is:   4.5023389268537286E-004
 The CR_xi is: -0.20226404109647111     
 The CR_kappa is:   5.9739411158046131E-002  0.99821400649083747     
 The CR_chi is:   4.9953775495658492E-002   1.8713560301924126E-004
 The CR_sigma is: -0.23277541782199815       -1.8214882925967439E-003
 The CR_pMMp is:   8.4879453688653778E-008   1.9451392905675354E-004
 The CR_qMMq is:   2.8027314025390706E-012   2.4707352156759313E-008
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -1.0599572180779179E-016
 The CR_zMMz is:   6.6483369547298721E-008
 The CR_zMp is (should equal CR_zMMz):   6.6483369547277638E-008
 The CR_zMq is:   2.4330072750840696E-010
 The CR_gamma is:  0.78326811328387203     
 The CR_tau is:   86.808435259973265     
 The CR_zz is:   5.7440233369036592E-012
 The refined CR_zMp is (should equal zero):   1.5509636485369269E-025
 The refined CR_zMq is (should equal zero):  -1.0349855076499675E-027
  
 Conjugate residual converged in            4  iterations.
  
 ###########################################################################################        
 Computing multibody polarizability for imaginary frequency point number           15
  
 Starting direction:           1
  
 The CR_zz is:   44.251805442955444     
  
 The CR_pMMp is:   132.93057086358132        0.0000000000000000     
 The CR_qMMq is:   2.8028505373868504        1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -1.1792320895184287E-016
 The CR_zMMz is:   66.273947657250702     
 The CR_zMp is (should equal CR_zMMz):   66.273947657250687     
 The CR_zMq is:   5.1974786804948483     
 The CR_gamma is:  0.49856061872527174     
 The CR_tau is:   1.8543545619598232     
 The CR_zz is:   1.5722567917257155     
 The refined CR_zMp is (should equal zero):   1.7269293849757843E-015
 The refined CR_zMq is (should equal zero):   2.0589280317658605E-015
  
 The CR_zMMMp is:   2.7080195139683787     
 The CR_zMMMq is:  -1.0077150659977654     
 The CR_beta is:   2.0371683476387511E-002
 The CR_xi is: -0.35953221641895927     
 The CR_kappa is:  0.40186204317514512       0.91570022291965070     
 The CR_chi is:  0.84004046675703714        0.0000000000000000     
 The CR_sigma is: -0.46532801942896901        0.0000000000000000     
 The CR_pMMp is:  0.72080813104363339        132.93057086358132     
 The CR_qMMq is:   2.2935784755823415E-002   2.8028505373868504     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -1.1144430529296894E-016
 The CR_zMMz is:  0.51854914538441887     
 The CR_zMp is (should equal CR_zMMz):  0.51854914538442043     
 The CR_zMq is:  0.16548534426785116     
 The CR_gamma is:  0.71939968911509211     
 The CR_tau is:   7.2151594562655763     
 The CR_zz is:   5.2095511777169295E-003
 The refined CR_zMp is (should equal zero):  -9.3368197557480454E-017
 The refined CR_zMq is (should equal zero):  -4.3428040294289644E-017
  
 The CR_zMMMp is:   7.5137457446099983E-003
 The CR_zMMMq is:  -1.0909352041367758E-003
 The CR_beta is:   1.0424057971892053E-002
 The CR_xi is:  -4.7564764657105810E-002
 The CR_kappa is:  0.16059208042914558       0.98702086285115520     
 The CR_chi is:  0.32758529961827254        3.8563686883470488E-003
 The CR_sigma is: -0.32778051915979584       -7.1444805602890044E-002
 The CR_pMMp is:   2.5035492035540051E-003  0.72080813104363339     
 The CR_qMMq is:   6.1394363472447441E-006   2.2935784755823415E-002
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -3.9700913165199555E-017
 The CR_zMMz is:   2.4658851015411437E-003
 The CR_zMp is (should equal CR_zMMz):   2.4658851015411610E-003
 The CR_zMq is:   1.2987225444162552E-004
 The CR_gamma is:  0.98495571728353626     
 The CR_tau is:   21.153774890085728     
 The CR_zz is:   3.3475113863586061E-005
 The refined CR_zMp is (should equal zero):   8.2705061191091830E-019
 The refined CR_zMq is (should equal zero):   2.6199623696009354E-020
  
 The CR_zMMMp is:   1.0890209786555298E-004
 The CR_zMMMq is:  -6.6402531014787479E-006
 The CR_beta is:   4.3499084304377565E-002
 The CR_xi is:  -1.0815737350968320     
 The CR_kappa is:   6.1447154552303158E-002  0.99811033818783046     
 The CR_chi is:   7.9241544830878294E-002   6.0626131921901849E-004
 The CR_sigma is: -0.32053488969074934       -2.8293276717157099E-003
 The CR_pMMp is:   3.7922577612223846E-005   2.5035492035540051E-003
 The CR_qMMq is:   9.9684911465587882E-010   6.1394363472447441E-006
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   1.0744381251939686E-016
 The CR_zMMz is:   3.3202675405005339E-005
 The CR_zMp is (should equal CR_zMMz):   3.3202675405007589E-005
 The CR_zMq is:   6.4018769844450233E-008
 The CR_gamma is:  0.87553846535751145     
 The CR_tau is:   64.221123240451575     
 The CR_zz is:   2.9353708583958052E-007
 The refined CR_zMp is (should equal zero):  -2.0275891160681378E-022
 The refined CR_zMq is (should equal zero):  -2.5712109073376955E-023
  
 The CR_zMMMp is:   4.5408735374693334E-007
 The CR_zMMMq is:  -8.6278513412391425E-009
 The CR_beta is:   1.1974063535189766E-002
 The CR_xi is:  -8.6551226403180923     
 The CR_kappa is:   1.9140319610411922E-002  0.99981680730282363     
 The CR_chi is:   2.2302056278433430E-002   9.4019534290109826E-004
 The CR_sigma is: -0.22966367307627991       -2.3440448906009673E-002
 The CR_pMMp is:   9.0496334708583492E-008   3.7922577612223846E-005
 The CR_qMMq is:   1.9396510870074398E-013   9.9684911465587882E-010
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -1.3368658723837974E-016
 The CR_zMMz is:   1.5651935944593855E-007
 The CR_zMp is (should equal CR_zMMz):   1.5651935944602476E-007
 The CR_zMq is:   6.5106300015439292E-011
 The CR_gamma is:   1.7295657326901557     
 The CR_tau is:   335.65985373115495     
 The CR_zz is:   9.7299409896377806E-010
 The refined CR_zMp is (should equal zero):   3.7549198486893919E-023
 The refined CR_zMq is (should equal zero):  -9.5919569618085878E-027
  
 The CR_zMMMp is:   1.0619621235206532E-009
 The CR_zMMMq is:  -7.7191795681529551E-012
 The CR_beta is:   1.1734863372537530E-002
 The CR_xi is:  -39.796742928968577     
 The CR_kappa is:   7.2836728600876250E-003  0.99997347370301137     
 The CR_chi is:   4.2970266737571159E-003   5.0042105243751715E-005
 The CR_sigma is: -0.20640360966711929       -3.6249954187957428E-002
 The CR_pMMp is:   5.9748675545125369E-010   9.0496334708583492E-008
 The CR_qMMq is:   1.2616051262905744E-017   1.9396510870074398E-013
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   3.4072644144272386E-018
 The CR_zMMz is:   7.5428538642755937E-010
 The CR_zMp is (should equal CR_zMMz):   7.5428538642645364E-010
 The CR_zMq is:   1.6009889787326666E-014
 The CR_gamma is:   1.2624303041776672     
 The CR_tau is:   1269.0095699277658     
 The CR_zz is:   4.4466578705424179E-013
 The refined CR_zMp is (should equal zero):   1.8962953984064770E-025
 The refined CR_zMq is (should equal zero):  -1.9968041663406861E-030
  
 Conjugate residual converged in            6  iterations.
  
 Starting direction:           2
  
 The CR_zz is:   44.251805442955444     
  
 The CR_pMMp is:   186.96023585018895        0.0000000000000000     
 The CR_qMMq is:   4.5918007377874206        1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   6.8621732230586126E-016
 The CR_zMMz is:   70.781258095555600     
 The CR_zMp is (should equal CR_zMMz):   70.781258095555586     
 The CR_zMq is:   8.7972901800297016     
 The CR_gamma is:  0.37858990588925301     
 The CR_tau is:   1.9158693249979124     
 The CR_zz is:  0.60027720281188313     
 The refined CR_zMp is (should equal zero):  -3.4304546933632348E-014
 The refined CR_zMq is (should equal zero):  -7.7952298492280975E-015
  
 The CR_zMMMp is:   1.8771698694201466     
 The CR_zMMMq is: -0.55292113247131558     
 The CR_beta is:   1.0040476579866538E-002
 The CR_xi is: -0.12041487948750648     
 The CR_kappa is:  0.29076375245831942       0.95679487888280268     
 The CR_chi is:  0.80713306859071476        0.0000000000000000     
 The CR_sigma is: -0.31662194827521428        0.0000000000000000     
 The CR_pMMp is:  0.25475146744773514        186.96023585018895     
 The CR_qMMq is:   2.3288592805185311E-003   4.5918007377874206     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -1.1147017628788954E-016
 The CR_zMMz is:  0.34864707264295203     
 The CR_zMp is (should equal CR_zMMz):  0.34864707264295203     
 The CR_zMq is:   1.6780847259685476E-002
 The CR_gamma is:   1.3685772888216259     
 The CR_tau is:   7.2056080846366743     
 The CR_zz is:   2.2105286971528045E-003
 The refined CR_zMp is (should equal zero):  -6.7897281888160542E-017
 The refined CR_zMq is (should equal zero):   5.9378183730476010E-018
  
 The CR_zMMMp is:   3.0616655667314108E-003
 The CR_zMMMq is:  -7.5678830032714650E-004
 The CR_beta is:   1.2018245066084036E-002
 The CR_xi is: -0.32496093974327384     
 The CR_kappa is:  0.25725010913680663       0.96634485632671585     
 The CR_chi is:  0.20479349299599497        1.8397619374522335E-003
 The CR_sigma is: -0.35290854233253316       -2.2251796101631947E-002
 The CR_pMMp is:   2.1599444485777661E-003  0.25475146744773514     
 The CR_qMMq is:   2.2476825750788661E-006   2.3288592805185311E-003
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   4.0692912629337497E-016
 The CR_zMMz is:   1.2629939345855771E-003
 The CR_zMp is (should equal CR_zMMz):   1.2629939345855802E-003
 The CR_zMq is:   5.6295319834399242E-005
 The CR_gamma is:  0.58473445250742873     
 The CR_tau is:   25.045938629667923     
 The CR_zz is:   6.2043504582811232E-005
 The refined CR_zMp is (should equal zero):  -6.2459486522977947E-019
 The refined CR_zMq is (should equal zero):   1.9718586300909445E-021
  
 The CR_zMMMp is:   1.5201969814435020E-004
 The CR_zMMMq is:  -6.6938295986324068E-006
 The CR_beta is:   7.0381299965584246E-002
 The CR_xi is:  -2.9781027236007893     
 The CR_kappa is:   4.6856729315438009E-002  0.99890162023988127     
 The CR_chi is:   9.5722245765522032E-002   8.4239179153392581E-004
 The CR_sigma is: -0.35749600708292634       -2.3533100467969650E-002
 The CR_pMMp is:   1.9984598820862871E-004   2.1599444485777661E-003
 The CR_qMMq is:   6.9703589561105354E-009   2.2476825750788661E-006
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   1.6935735332675375E-016
 The CR_zMMz is:   7.8762090360016726E-005
 The CR_zMp is (should equal CR_zMMz):   7.8762090360017743E-005
 The CR_zMq is:   4.3666861487667418E-007
 The CR_gamma is:  0.39411394277174211     
 The CR_tau is:   62.646503232644932     
 The CR_zz is:   3.6465048166142834E-006
 The refined CR_zMp is (should equal zero):  -3.8093234529535192E-020
 The refined CR_zMq is (should equal zero):  -7.1028504016634558E-023
  
 The CR_zMMMp is:   4.9119864346431084E-006
 The CR_zMMMq is:  -4.6170911826529104E-008
 The CR_beta is:   2.4578859344002706E-002
 The CR_xi is:  -6.6238929899088728     
 The CR_kappa is:   9.8496094751983482E-003  0.99995149142005191     
 The CR_chi is:   2.6162095223842299E-002   1.6813891782086548E-003
 The CR_sigma is: -0.21615669585453706       -7.2687912331510354E-002
 The CR_pMMp is:   3.3687249276827922E-007   1.9984598820862871E-004
 The CR_qMMq is:   5.2804932416805281E-012   6.9703589561105354E-009
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -8.2246719360357501E-017
 The CR_zMMz is:   9.5656383639452590E-007
 The CR_zMp is (should equal CR_zMMz):   9.5656383639436073E-007
 The CR_zMq is:   2.2124759875652744E-009
 The CR_gamma is:   2.8395427258952299     
 The CR_tau is:   418.99040227938048     
 The CR_zz is:   3.2947290627978005E-009
 The refined CR_zMp is (should equal zero):   3.4250472482072769E-023
 The refined CR_zMq is (should equal zero):  -1.4458962506466719E-025
  
 The CR_zMMMp is:   4.5268101294203217E-009
 The CR_zMMMq is:  -4.1653089038788004E-011
 The CR_beta is:   1.3437755312761998E-002
 The CR_xi is:  -7.8881057379275843     
 The CR_kappa is:   9.2140256500372695E-003  0.99995754996465747     
 The CR_chi is:   3.7891265033127078E-003   7.7085837661995687E-005
 The CR_sigma is: -0.23532387340756253       -2.1012257780794921E-002
 The CR_pMMp is:   6.5564680284286628E-009   3.3687249276827922E-007
 The CR_qMMq is:   4.9989256080233902E-017   5.2804932416805281E-012
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   3.1778508224870141E-017
 The CR_zMMz is:   4.5981737581910683E-009
 The CR_zMp is (should equal CR_zMMz):   4.5981737581899368E-009
 The CR_zMq is:   5.8823781429589494E-014
 The CR_gamma is:  0.70131871889748920     
 The CR_tau is:   1176.7284821197575     
 The CR_zz is:   7.2411440179530419E-013
 The refined CR_zMp is (should equal zero):  -8.5272708410770492E-026
 The refined CR_zMq is (should equal zero):   2.4393058303630974E-029
  
 Conjugate residual converged in            6  iterations.
  
 Starting direction:           3
  
 The CR_zz is:   44.251805442955444     
  
 The CR_pMMp is:   490.57360150796757        0.0000000000000000     
 The CR_qMMq is:   1.4229140432128879        1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -6.7233975636074938E-017
 The CR_zMMz is:   138.78657330186718     
 The CR_zMp is (should equal CR_zMMz):   138.78657330186724     
 The CR_zMq is:   2.5733679083570600     
 The CR_gamma is:  0.28290672974504349     
 The CR_tau is:   1.8085195803862397     
 The CR_zz is:  0.33416360780209736     
 The refined CR_zMp is (should equal zero):  -1.0658141036401503E-014
 The refined CR_zMq is (should equal zero):   1.4398204850607499E-016
  
 The CR_zMMMp is:  0.95233987863245029     
 The CR_zMMMq is: -0.22577135509415586     
 The CR_beta is:   1.9412782826166463E-003
 The CR_xi is: -0.15866830197583290     
 The CR_kappa is:  0.25400843866289924       0.96720200221465424     
 The CR_chi is:  0.90492145643971422        0.0000000000000000     
 The CR_sigma is: -0.39040252815158455        0.0000000000000000     
 The CR_pMMp is:  0.11905929765331440        490.57360150796757     
 The CR_qMMq is:   3.2261093384864372E-003   1.4229140432128879     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   2.4341186863052199E-016
 The CR_zMMz is:  0.13888855570840150     
 The CR_zMp is (should equal CR_zMMz):  0.13888855570840203     
 The CR_zMq is:   2.3535858958074914E-002
 The CR_gamma is:   1.1665494291158001     
 The CR_tau is:   7.2954312729887230     
 The CR_zz is:   4.3900095035174141E-004
 The refined CR_zMp is (should equal zero):  -7.3075226425522999E-017
 The refined CR_zMq is (should equal zero):  -1.1993986533120893E-017
  
 The CR_zMMMp is:   6.1247762870761499E-004
 The CR_zMMMq is:  -1.4189616832402445E-004
 The CR_beta is:   5.1443074231050170E-003
 The CR_xi is:  -4.3983682335638541E-002
 The CR_kappa is:  0.22755832686190530       0.97376445194708683     
 The CR_chi is:  0.23338879565778278        3.4991347775187634E-004
 The CR_sigma is: -0.22617823829676170       -2.9399693240536533E-002
 The CR_pMMp is:   2.5984121087932347E-004  0.11905929765331440     
 The CR_qMMq is:   3.3510264114570787E-008   3.2261093384864372E-003
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   1.1661401180996892E-016
 The CR_zMMz is:   3.2070831579678163E-004
 The CR_zMp is (should equal CR_zMMz):   3.2070831579679378E-004
 The CR_zMq is:   1.2009398486395683E-006
 The CR_gamma is:   1.2342473109307455     
 The CR_tau is:   35.837970256921395     
 The CR_zz is:   1.2832741052391652E-007
 The refined CR_zMp is (should equal zero):  -2.7210933430544398E-020
 The refined CR_zMq is (should equal zero):   1.6543612251060553E-024
  
 The CR_zMMMp is:   1.4925441844237871E-007
 The CR_zMMMq is:  -8.3999141948923995E-009
 The CR_beta is:   5.7440626118270390E-004
 The CR_xi is: -0.25066690510624728     
 The CR_kappa is:   5.9166079152667778E-002  0.99824815305499071     
 The CR_chi is:   4.8803433253299743E-002   2.4378325519253547E-004
 The CR_sigma is: -0.23175751389698890       -2.0918076521862059E-003
 The CR_pMMp is:   1.5400121484199438E-007   2.5984121087932347E-004
 The CR_qMMq is:   5.0014822145104821E-012   3.3510264114570787E-008
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   2.3562909638241174E-016
 The CR_zMMz is:   1.1681901045560966E-007
 The CR_zMp is (should equal CR_zMMz):   1.1681901045574889E-007
 The CR_zMq is:   4.4559990510615900E-010
 The CR_gamma is:  0.75855901900258038     
 The CR_tau is:   89.093569864822939     
 The CR_zz is:   1.3210274417435824E-011
 The refined CR_zMp is (should equal zero):  -1.4630757084531677E-023
 The refined CR_zMq is (should equal zero):  -6.2351565948668773E-026
  
 Conjugate residual converged in            4  iterations.
  
 ###########################################################################################        
 Computing multibody polarizability for imaginary frequency point number           16
  
 Starting direction:           1
  
 The CR_zz is:   44.964062805335999     
  
 The CR_pMMp is:   137.64341615628112        0.0000000000000000     
 The CR_qMMq is:   2.8958429582986582        1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -3.4732189032743589E-016
 The CR_zMMz is:   67.897750269153903     
 The CR_zMp is (should equal CR_zMMz):   67.897750269153917     
 The CR_zMq is:   5.3408098519923479     
 The CR_gamma is:  0.49328730835961254     
 The CR_tau is:   1.8443023081369496     
 The CR_zz is:   1.6208963940418633     
 The refined CR_zMp is (should equal zero):  -1.1225828365624395E-014
 The refined CR_zMq is (should equal zero):   3.9930450815206759E-015
  
 The CR_zMMMp is:   2.8373040433563457     
 The CR_zMMMq is:  -1.0522223158875217     
 The CR_beta is:   2.0613438133029585E-002
 The CR_xi is: -0.36335613879618484     
 The CR_kappa is:  0.40120311145917087       0.91598911748747325     
 The CR_chi is:  0.84819716713423354        0.0000000000000000     
 The CR_sigma is: -0.47599964978830872        0.0000000000000000     
 The CR_pMMp is:  0.79223469383683354        137.64341615628112     
 The CR_qMMq is:   2.4432956536429681E-002   2.8958429582986582     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   4.9014757052276188E-016
 The CR_zMMz is:  0.54100997131945261     
 The CR_zMp is (should equal CR_zMMz):  0.54100997131945383     
 The CR_zMq is:  0.17451101981982695     
 The CR_gamma is:  0.68289103661859918     
 The CR_tau is:   7.1424438364481189     
 The CR_zz is:   5.0103760021241563E-003
 The refined CR_zMp is (should equal zero):  -4.0205949540532241E-016
 The refined CR_zMq is (should equal zero):  -1.2547162339919508E-018
  
 The CR_zMMMp is:   7.1852088452595353E-003
 The CR_zMMMq is:  -1.0237799473187860E-003
 The CR_beta is:   9.0695458065099335E-003
 The CR_xi is:  -4.1901599005929720E-002
 The CR_kappa is:  0.15953531312626773       0.98719222234866888     
 The CR_chi is:  0.34123579050278530        4.0413313092162971E-003
 The CR_sigma is: -0.33440972543852915       -7.5042311006328952E-002
 The CR_pMMp is:   2.6199746421421200E-003  0.79223469383683354     
 The CR_qMMq is:   6.6485962000998279E-006   2.4432956536429681E-002
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   2.0418624438793026E-017
 The CR_zMMz is:   2.4055760579651188E-003
 The CR_zMp is (should equal CR_zMMz):   2.4055760579651062E-003
 The CR_zMq is:   1.3562694162103230E-004
 The CR_gamma is:  0.91816768730184384     
 The CR_tau is:   20.399335068506023     
 The CR_zz is:   3.4954369909507401E-005
 The refined CR_zMp is (should equal zero):  -5.8803540308803785E-019
 The refined CR_zMq is (should equal zero):  -3.8194503267132829E-020
  
 The CR_zMMMp is:   1.1069844850594514E-004
 The CR_zMMMq is:  -6.5704651743097711E-006
 The CR_beta is:   4.2251725159995014E-002
 The CR_xi is: -0.98824849284892902     
 The CR_kappa is:   5.9655050410048184E-002  0.99821905159167079     
 The CR_chi is:   8.2302475837195410E-002   5.4712178231152949E-004
 The CR_sigma is: -0.30771986411748364       -2.5917736288044130E-003
 The CR_pMMp is:   3.3197199884696367E-005   2.6199746421421200E-003
 The CR_qMMq is:   6.5068661355762539E-010   6.6485962000998279E-006
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -1.2088448668718874E-016
 The CR_zMMz is:   3.2393382194062639E-005
 The CR_zMp is (should equal CR_zMMz):   3.2393382194061900E-005
 The CR_zMq is:   4.4958011113685961E-008
 The CR_gamma is:  0.97578658159644904     
 The CR_tau is:   69.093185839306400     
 The CR_zz is:   2.3905001517295662E-007
 The refined CR_zMp is (should equal zero):  -1.0840474557836272E-021
 The refined CR_zMq is (should equal zero):   2.0399133637726609E-023
  
 The CR_zMMMp is:   3.4184870196309097E-007
 The CR_zMMMq is:  -7.0499711860810395E-009
 The CR_beta is:   1.0297516150471486E-002
 The CR_xi is:  -10.834664551550187     
 The CR_kappa is:   2.0771093630664986E-002  0.99978425756229328     
 The CR_chi is:   2.1591533904173919E-002   8.9144868011074711E-004
 The CR_sigma is: -0.22093468493944005       -2.0895477808391138E-002
 The CR_pMMp is:   1.0657483082322275E-007   3.3197199884696367E-005
 The CR_qMMq is:   1.5953437370604588E-013   6.5068661355762539E-010
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   1.4492461221368315E-017
 The CR_zMMz is:   1.5353359301082223E-007
 The CR_zMp is (should equal CR_zMMz):   1.5353359301100291E-007
 The CR_zMq is:   5.2121188005265707E-011
 The CR_gamma is:   1.4406177502235153     
 The CR_tau is:   326.70819958401523     
 The CR_zz is:   8.3837633233245695E-010
 The refined CR_zMp is (should equal zero):   1.3937266307308265E-023
 The refined CR_zMq is (should equal zero):  -6.2665138158494125E-027
  
 The CR_zMMMp is:   1.0910622668439854E-009
 The CR_zMMMq is:  -6.8174699537728390E-012
 The CR_beta is:   1.0237522859911891E-002
 The CR_xi is:  -42.733548860978026     
 The CR_kappa is:   6.2662606413778727E-003  0.99998036679605573     
 The CR_chi is:   4.4266026250562281E-003   4.4486896510713811E-005
 The CR_sigma is: -0.22689587469838798       -4.6908363087670733E-002
 The CR_pMMp is:   5.2739289418607087E-010   1.0657483082322275E-007
 The CR_qMMq is:   1.6586964147211927E-017   1.5953437370604588E-013
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -1.0332036513791068E-016
 The CR_zMMz is:   6.5551966592234173E-010
 The CR_zMp is (should equal CR_zMMz):   6.5551966590920465E-010
 The CR_zMq is:   1.9544435028490773E-014
 The CR_gamma is:   1.2429436822823954     
 The CR_tau is:   1178.3009148045915     
 The CR_zz is:   5.7307930533465026E-013
 The refined CR_zMp is (should equal zero):   1.4772524855530755E-025
 The refined CR_zMq is (should equal zero):   1.2350603547366466E-029
  
 Conjugate residual converged in            6  iterations.
  
 Starting direction:           2
  
 The CR_zz is:   44.964062805335999     
  
 The CR_pMMp is:   195.91050503879086        0.0000000000000000     
 The CR_qMMq is:   4.6697321067681274        1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -3.0951107657291230E-016
 The CR_zMMz is:   73.164002468192592     
 The CR_zMp is (should equal CR_zMMz):   73.164002468192592     
 The CR_zMq is:   8.9208624894868667     
 The CR_gamma is:  0.37345624959573198     
 The CR_tau is:   1.9103585142619459     
 The CR_zz is:  0.59846322680066122     
 The refined CR_zMp is (should equal zero):   1.0514159406035227E-015
 The refined CR_zMq is (should equal zero):   1.3031393377818598E-015
  
 The CR_zMMMp is:   1.8825125886141103     
 The CR_zMMMq is: -0.54860979487187889     
 The CR_beta is:   9.6090436204090603E-003
 The CR_xi is: -0.11748207013347624     
 The CR_kappa is:  0.28808453674655748       0.95760498102689573     
 The CR_chi is:  0.80993983366242794        0.0000000000000000     
 The CR_sigma is: -0.31797645120358303        0.0000000000000000     
 The CR_pMMp is:  0.25085499986291776        195.91050503879086     
 The CR_qMMq is:   2.3649696039636284E-003   4.6697321067681274     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   6.3058117479830603E-017
 The CR_zMMz is:  0.34500530148041403     
 The CR_zMp is (should equal CR_zMMz):  0.34500530148041358     
 The CR_zMq is:   1.6971294801001575E-002
 The CR_gamma is:   1.3753176204139650     
 The CR_tau is:   7.1761154023113534     
 The CR_zz is:   2.1833865197818975E-003
 The refined CR_zMp is (should equal zero):   4.5644419573518603E-017
 The refined CR_zMq is (should equal zero):  -6.3828796559172056E-018
  
 The CR_zMMMp is:   3.1331728960769935E-003
 The CR_zMMMq is:  -7.8419328942304432E-004
 The CR_beta is:   1.2489975873668643E-002
 The CR_xi is: -0.33158704793023830     
 The CR_kappa is:  0.25942174701382653       0.96576413123303251     
 The CR_chi is:  0.20595172195310640        1.7661132400519489E-003
 The CR_sigma is: -0.35546262777853677       -2.1779638010883996E-002
 The CR_pMMp is:   2.3536668800904379E-003  0.25085499986291776     
 The CR_qMMq is:   2.2320926188134217E-006   2.3649696039636284E-003
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   9.4459851903992130E-017
 The CR_zMMz is:   1.3183536508488938E-003
 The CR_zMp is (should equal CR_zMMz):   1.3183536508488572E-003
 The CR_zMq is:   5.5467435518379467E-005
 The CR_gamma is:  0.56012754481135429     
 The CR_tau is:   24.849970404841848     
 The CR_zz is:   6.6576195074639189E-005
 The refined CR_zMp is (should equal zero):  -2.9383083869714507E-019
 The refined CR_zMq is (should equal zero):  -6.0140515806385581E-021
  
 The CR_zMMMp is:   1.6764597968645743E-004
 The CR_zMMMq is:  -7.3406262389372387E-006
 The CR_beta is:   7.1227573071009839E-002
 The CR_xi is:  -3.2886745724913102     
 The CR_kappa is:   4.6468154893778486E-002  0.99891977184394942     
 The CR_chi is:   9.7619978993371284E-002   9.0896330510759689E-004
 The CR_sigma is: -0.35668858724041302       -2.4922536625804865E-002
 The CR_pMMp is:   2.2946016652489399E-004   2.3536668800904379E-003
 The CR_qMMq is:   7.3268483069839468E-009   2.2320926188134217E-006
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -1.5893771025974943E-016
 The CR_zMMz is:   8.8511213791366155E-005
 The CR_zMp is (should equal CR_zMMz):   8.8511213791368513E-005
 The CR_zMq is:   4.5750266359779169E-007
 The CR_gamma is:  0.38573672778088036     
 The CR_tau is:   62.441945626429913     
 The CR_zz is:   3.8668126505225701E-006
 The refined CR_zMp is (should equal zero):   1.4003178223403249E-020
 The refined CR_zMq is (should equal zero):   1.1540476293204235E-022
  
 The CR_zMMMp is:   5.2084102343649023E-006
 The CR_zMMMq is:  -4.8637212513430300E-008
 The CR_beta is:   2.2698537673203706E-002
 The CR_xi is:  -6.6382174811875583     
 The CR_kappa is:   9.8065049103836267E-003  0.99995191507464143     
 The CR_chi is:   2.6521145782354472E-002   1.7344495387959864E-003
 The CR_sigma is: -0.21783038491710693       -8.1792498410074035E-002
 The CR_pMMp is:   3.7026221374995584E-007   2.2946016652489399E-004
 The CR_qMMq is:   5.9075510599056474E-012   7.3268483069839468E-009
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -2.4558179841681361E-016
 The CR_zMMz is:   1.0279270584375328E-006
 The CR_zMp is (should equal CR_zMMz):   1.0279270584376732E-006
 The CR_zMq is:   2.4414267419392491E-009
 The CR_gamma is:   2.7762137757104464     
 The CR_tau is:   413.27222010980677     
 The CR_zz is:   4.0935405856981300E-009
 The refined CR_zMp is (should equal zero):   1.6072862976857898E-022
 The refined CR_zMq is (should equal zero):   6.8145177373360820E-025
  
 The CR_zMMMp is:   5.6068959318432955E-009
 The CR_zMMMq is:  -5.1434485820397675E-011
 The CR_beta is:   1.5143041130385842E-002
 The CR_xi is:  -8.7065664433240055     
 The CR_kappa is:   9.1863067268793432E-003  0.99995780499415043     
 The CR_chi is:   3.8660939847041777E-003   7.2500742141502536E-005
 The CR_sigma is: -0.23461474100128415       -2.1461013746659693E-002
 The CR_pMMp is:   8.0805447118410195E-009   3.7026221374995584E-007
 The CR_qMMq is:   6.4582454206344628E-017   5.9075510599056474E-012
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   7.7395536364826483E-017
 The CR_zMMz is:   5.6905024201567352E-009
 The CR_zMp is (should equal CR_zMMz):   5.6905024201458884E-009
 The CR_zMq is:   7.4350273217141816E-014
 The CR_gamma is:  0.70422262645328537     
 The CR_tau is:   1151.2457079997062     
 The CR_zz is:   5.6459261437731075E-013
 The refined CR_zMp is (should equal zero):  -2.2349376077997530E-024
 The refined CR_zMq is (should equal zero):  -5.7586846081133862E-029
  
 Conjugate residual converged in            6  iterations.
  
 Starting direction:           3
  
 The CR_zz is:   44.964062805335999     
  
 The CR_pMMp is:   509.23475536698680        0.0000000000000000     
 The CR_qMMq is:   1.4455137313075459        1.0000000000000000     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):   1.9969165793940443E-015
 The CR_zMMz is:   142.57745475045613     
 The CR_zMp is (should equal CR_zMMz):   142.57745475045618     
 The CR_zMq is:   2.6089946375132183     
 The CR_gamma is:  0.27998374668615428     
 The CR_tau is:   1.8048909401595519     
 The CR_zz is:  0.33574204715524736     
 The refined CR_zMp is (should equal zero):  -8.6486373618299694E-014
 The refined CR_zMq is (should equal zero):  -1.5269036035547856E-014
  
 The CR_zMMMp is:  0.95126116706315478     
 The CR_zMMMq is: -0.22326603654013272     
 The CR_beta is:   1.8680209020250705E-003
 The CR_xi is: -0.15445445567519889     
 The CR_kappa is:  0.25246483959953070       0.96760606900018120     
 The CR_chi is:  0.90874756330200268        0.0000000000000000     
 The CR_sigma is: -0.39370344625431597        0.0000000000000000     
 The CR_pMMp is:  0.11771048400351582        509.23475536698680     
 The CR_qMMq is:   3.2948356446837563E-003   1.4455137313075459     
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -4.8447179099104303E-016
 The CR_zMMz is:  0.13663318096513172     
 The CR_zMp is (should equal CR_zMMz):  0.13663318096512886     
 The CR_zMq is:   2.4126426002107182E-002
 The CR_gamma is:   1.1607562582195130     
 The CR_tau is:   7.3224975701095634     
 The CR_zz is:   4.7853149367652173E-004
 The refined CR_zMp is (should equal zero):   1.2495430037895439E-016
 The refined CR_zMq is (should equal zero):   8.7820375971325859E-018
  
 The CR_zMMMp is:   6.5509771318095027E-004
 The CR_zMMMq is:  -1.5144449823491300E-004
 The CR_beta is:   5.5653302144385340E-003
 The CR_xi is:  -4.5964204156668603E-002
 The CR_kappa is:  0.22711181201354441       0.97386868973384944     
 The CR_chi is:  0.23504096629874360        3.3649227800392655E-004
 The CR_sigma is: -0.22308513248671893       -2.8635418709466523E-002
 The CR_pMMp is:   2.8148417914655098E-004  0.11771048400351582     
 The CR_qMMq is:   3.5741311368324970E-008   3.2948356446837563E-003
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -3.3380902932692866E-017
 The CR_zMMz is:   3.4854319995901244E-004
 The CR_zMp is (should equal CR_zMMz):   3.4854319995901743E-004
 The CR_zMq is:   1.2933736212119343E-006
 The CR_gamma is:   1.2382337118050002     
 The CR_tau is:   36.187077969337217     
 The CR_zz is:   1.5014139259510630E-007
 The refined CR_zMp is (should equal zero):  -1.0545560193316039E-019
 The refined CR_zMq is (should equal zero):   8.4372422480408823E-023
  
 The CR_zMMMp is:   1.7322840924566943E-007
 The CR_zMMMq is:  -9.7083284897518249E-009
 The CR_beta is:   6.1541081907655055E-004
 The CR_xi is: -0.27162765209436718     
 The CR_kappa is:   5.9003456963108623E-002  0.99825777836508878     
 The CR_chi is:   4.8509303318720373E-002   2.6216409427716442E-004
 The CR_sigma is: -0.23162511749617967       -2.1730882884486618E-003
 The CR_pMMp is:   1.8243340948434398E-007   2.8148417914655098E-004
 The CR_qMMq is:   5.9042169304651055E-012   3.5741311368324970E-008
 The conjugacy test <Mp|Mq>/SQRT(<Mp|Mp> <Mq|Mq>) is (should equal zero):  -4.9813496185263074E-017
 The CR_zMMz is:   1.3681878384205336E-007
 The CR_zMp is (should equal CR_zMMz):   1.3681878384202165E-007
 The CR_zMq is:   5.2966055458438641E-010
 The CR_gamma is:  0.74996561336405387     
 The CR_tau is:   89.708857384862782     
 The CR_zz is:   1.6766297702558084E-011
 The refined CR_zMp is (should equal zero):   3.9782217584972175E-023
 The refined CR_zMq is (should equal zero):   3.9127500898962186E-026
  
 Conjugate residual converged in            4  iterations.
  
 ********** Summary of Conjugate Residual Performance ***************
 All conjugate residual calculations converged within            6  steps.
 The sum of conjugate residual steps along all frequencies and directions was          166  steps.
 The maximum terminal error in any conditioned residual component was    8.9061668805439896E-006
 A precise solution was found for every linear equation solved.
 All errors in the residual decreased monotonocally.
 The total number of large matrix-vector multiplies performed was          664
 ***********************************************************************
 The free atom C6(A,B) are:
    23.614200    23.614200     8.752735     8.752735     8.752735    13.383501    13.383501
    23.614200    23.614200     8.752735     8.752735     8.752735    13.383501    13.383501
     8.752735     8.752735     3.250000     3.250000     3.250000     4.902952     4.902952
     8.752735     8.752735     3.250000     3.250000     3.250000     4.902952     4.902952
     8.752735     8.752735     3.250000     3.250000     3.250000     4.902952     4.902952
    13.383501    13.383501     4.902952     4.902952     4.902952     8.229850     8.229850
    13.383501    13.383501     4.902952     4.902952     4.902952     8.229850     8.229850
 The unscreened C6(A,B) are:
    55.289611    35.008795    11.429675    11.804555    11.428625    45.669356    45.313698
    35.008795    22.167197     7.237149     7.474519     7.236484    28.917351    28.692152
    11.429675     7.237149     2.366976     2.444610     2.366758     9.331057     9.258390
    11.804555     7.474519     2.444610     2.524790     2.444385     9.637104     9.562054
    11.428625     7.236484     2.366758     2.444385     2.366541     9.330199     9.257539
    45.669356    28.917351     9.331057     9.637104     9.330199    40.928846    40.610106
    45.313698    28.692152     9.258390     9.562054     9.257539    40.610106    40.293848
 The screened C6(A,B) are:
    76.392392    43.273701     8.687461     8.684059     8.686435    53.979937    53.745333
    43.273701    24.573360     4.961870     4.964831     4.961287    31.083995    30.945866
     8.687461     4.961870     1.015840     1.018876     1.015722     6.492388     6.461965
     8.684059     4.964831     1.018876     1.022347     1.018758     6.534802     6.503899
     8.686435     4.961287     1.015722     1.018758     1.015605     6.491653     6.461234
    53.979937    31.083995     6.492388     6.534802     6.491653    42.766655    42.550235
    53.745333    30.945866     6.461965     6.503899     6.461234    42.550235    42.335112
  
  
 The total screened C6 dispersion coefficient for the entire non-periodic system (in atomic units) is:
   866.169925264808854948      
 This represents the screened C6 dispersion coefficient between identical copies of the system separated by a large distance.
  
 ******************** TIME CONTROL ********************
 TS-SCS screening took    1.6729999780654907      seconds
 ******************************************************
  
  
 ******************** TIME CONTROL ********************
 Finished dispersion polarization program in    1.6950000524520874      seconds
 ******************************************************
  
 *****************************************************************************************************
 When using results from this TS-SCS program, please cite the following journal articles introducing the computational methods:
  
 (1) T. A. Manz and T. Chen, "New scaling relations to compute atom-in-material polarizarizabilities and dispersion coefficients: part 2. Linear-scaling computational algorithms and parallelization," RSC Advances (2019) in press.
 (2) A. Tkatchenko, R. A. DiStasio Jr., R. Car, and M. Scheffler, "Accurate and efficient method for many-body van der Waals interactions," Physical Review Letters 108 (2012) 236402 DOI: 10.1103/PhysRevLett.108.236402
