# Example matrix used in section 3
# Note this corresponds to the symbol $J_{fi}$ after energy rescalings have been applied.
# $f$ indexes rows (separated by newlines)
# $i$ indexes columns (separated by spaces)

 1.0                   -0.48184086022763845    0.13997250867644484   -0.8503678170191658     0.33681571469544963   -0.6265473634783426     0.0019378533843414543 -0.04250690042685121   -0.26899395952431715    0.9081490316811723    -0.1802503922496108     0.13638658619919544    0.3039635368567947    -0.3247675229131371     0.34659492475031467   -0.03053744691708069  
 0.8052239212635542    -0.5139063870091516    -0.47270855723662236    0.4810578520791911     0.17849383685581083    0.045078898909000624   0.19260259096981236    0.14827047485724404   -0.3060096351734932    -0.5566239016060025    -0.403256868102752     -0.41050153145978885   -0.4893387356703847    -0.13760820276825173   -0.10850149658123291   -0.0077954772601029594
 0.1437630813061449    -0.18175205618074225   -0.09803170315555128    0.02449330735539777   -0.2982335085844228    -0.19489139437711314    0.008951838375771671  -0.16029028510684773   -0.12747997184520093   -0.022387154022738893   0.26934739781785644    0.061517918805287536  -0.06261554287506282   -0.10460404207803688   -0.019842996827463547   0.3747984788813596   
-1.843314709674012      0.22161255061506646    0.07861216182344072    0.25406263524437234   -0.30073406034898925    0.5055281460806124     0.22156721122740672   -0.010646088580768829   0.031193733258950772  -0.13265332538951474    0.008921472998194633  -0.024233392258501275   0.15326754389294217    0.05597994507782857   -0.012618909663848425   0.09924091324304397  
 0.2928438509955735     0.08293872040642612   -0.4648971626075598     0.2710120863342161    -0.2746781276734482    -0.21705579363827562   -0.020953735962961028   0.0953362190551296     0.24712209849002695   -0.2810661004084077     0.23361437891596676    0.24878815809229157   -0.06739308072387028   -0.028341853112475984  -0.07775447444377291   -0.07943041994400808  
-0.6458235350196588    -0.5760889875010633    -0.055489819247521235   0.062146088587983796   0.3943603088518774    -0.19704534997215387   -0.38120239447661763    0.024984844985200094  -0.07495469139423701    0.054316156831978823  -0.057844562838955775  -0.17527471526945756   -0.09212513634851897    0.10343289539794953    0.033912066660481556  -0.11682880946003195  
 0.3899559989924177    -0.4573790154528678    -0.13851886671236896    0.04425637286204793   -0.2731279627850749    -0.21807471072200266    0.0026934293034890553 -0.012655982644209309  -0.03738746103720506   -0.07992327453574682   -0.14868425400581806   -0.10099222884191215    0.3772747413110258    -0.07483101871609166    0.1738864594827489    -0.0656661708113371   
 0.572048818981949      0.3648721266978197     0.10902808838382809   -0.13431817033010918   -0.2580275276925515     0.16512643661930976   -0.20325738491984469   -0.18873331758723316    0.21259971763291813    0.19361616182531502    0.0047551758055426035 -0.02976608002147161   -0.07716496256074315    0.03932667446518863   -0.05234281739700213   -0.15842843895116     
-0.30173828572603156    0.0696374194952284    -0.36273398950741637   -0.1935485730841443     0.021696100080052197   0.27254182524216536    0.026549985969046345   0.004471885982130092   0.25466136588199506   -0.13272944613917043   -0.08729550012269406    0.09614080154237821    0.11801662798327531    0.04834059061276044   -0.26728568628821786    0.07301560976670948  
 0.25039699562876744    0.01230849095116557    0.14425848088343346    0.26407903495958795    0.008580861313169118  -0.14333944367299395   -0.2607568210406583     0.008458785627493257  -0.0892759966427144    -0.06665371090121515   -0.12808759701299502    0.02970284815265982    0.07656520142685852    0.043543337676859147  -0.10848394931849013    0.08338062412647097  
 0.11253763438612581   -0.6295115440540695     0.12310808469180641   -0.36423853415848634   -0.18215129988908232    0.1545007963967616     0.08828313299309216   -0.08153106809413399   -0.10537417934351724    0.039116261370339606  -0.193855253405901      0.042424017445682784  -0.028961166528773372   0.07020805399189146   -0.011594462927250802  -0.09737398226439611  
 0.06930476031963198   -0.08477406607532553   -0.2812118179871531    -0.1993815013183352    -0.15428380285442245    0.006998401264405631   0.09914527801215128   -0.0034549519811534267 -0.13772535776432257   -0.041348626253785346   0.058570972159722755   0.10658015518200746   -0.0893793886854481     0.025975780930957926  -0.034537524711604616  -0.18455520381056897  
-0.4263919188134786    -0.13186089189012068   -0.09843975682671315   -0.06518939911078953   -0.08891561190146696    0.04939697930770062   -0.11937687502445919   -0.18575552842271792    0.05571594086794416   -0.06440121273999196    0.0785256853793497    -0.07932892350067175    0.1196104517691229    -0.1090340494672601    -0.10227523519344071    0.05731733426838191  
 0.5646938853345314    -0.1787360208763163     0.28769710259839776    0.24150691677197295    0.11213382299971764   -0.028149255670672717  -0.2620332825793596    -0.17588926268345767   -0.08566982419404856    0.05023897596948851   -0.018520285761170843  -0.06086270956817248    0.007353521162332504  -0.14069311163473516    0.031153633398863265  -0.07591795179402629  
 0.38948065092144124    0.03264433288772628   -0.13548953878858241   -0.08235522176714283   -0.22101432306658247    0.02065900267186159   -0.11717538375823794   -0.012513789094853713   0.11655441295769224    0.03278311598385545    0.04397418267697985    0.23366127366100484    0.05879012249576532    0.09109037806257951   -0.020406698529540693  -0.0917030726848627   
 0.06669319589663762   -0.24435051219740517   -0.517169315369377      0.0882080697334937     0.04401822960065078   -0.13008383565282278    0.14475355099479748   -0.00898057078178055   -0.04718768603111041   -0.09051543139423959    0.10334210586377107   -0.03814282554163154   -0.04198261402596156   -0.037704886125636355  -0.06069319984623867   -0.1257191995879563   