Sigma: ((0 7 16 10 4) (1 9 12 6 3 11 14 8 5 2) (13 15 17)) Alpha: ((0 1) (2 3) (4 5) (6 7) (8 9) (10 11) (12 13) (14 15) (16 17)) Phi: ((0 2 6) (1 4 8) (3 5 10) (7 12 17) (9 14 13) (11 16 15)) Order number: 1 Passport: 10(1) 5(1) 3(1) Modulus: 1.07857929219268864520538146275901829014733703731001597072021592458974317466388784 I Klein invariant: 1875 root of z + -1875 g2 coefficient: 165.77274385303934103025040486667001924440612625275207565493327521095307686934417994 root of 3955002818 z^7 + -649949839952 z^6 + -942063498594 z^5 + 29489518293 z^4 + -189320104585 z^3 + 412969928293 z^2 + 171559757959 z + -265213407384 g3 coefficient: 115.01271039020196408386849581290886469454994565856710739831753787481701766522768057 root of 1341008081 z^7 + -154400733010 z^6 + 19218457365 z^5 + 4167494024 z^4 + 524045007402 z^3 + 157868814057 z^2 + -35763498992 z + -97599675118 Sigma: ((0 7 14 8 5 2 1 9 16 10 4) (3 11 12 6) (13 17 15)) Alpha: ((0 1) (2 3) (4 5) (6 7) (8 9) (10 11) (12 13) (14 15) (16 17)) Phi: ((0 2 6) (1 4 8) (3 5 10) (7 12 15) (9 14 17) (11 16 13)) Order number: 2 Passport: 11(1) 4(1) 3(1) Modulus: (0.50000000000000000000000000000000000000000000000000000000000000000000000000000000 + 0.96666207136815893170555531368064251073112717975029802746395771286511843918527457 I) Klein invariant: -39.68113019614128443784888016839386281364288331025575749296806601635506764937814729 root of 41229056 z + 1636015539 g2 coefficient: 59.58150410349279577459640178233509087306857079202809265760435914797777598574584757 root of 107478588 z^8 + -6289317471 z^7 + -6583316537 z^6 + -14250723874 z^5 + 18689895739 z^4 + 2157065863 z^3 + -27045348257 z^2 + -8014737440 z + 4571366062 g3 coefficient: 590.73847576549131547651318504430729829606447055581871929019329331209162285291099917 root of 66260025865 z^6 + -39113649764364 z^5 + -16942311522006 z^4 + -5940365030976 z^3 + -2363167669684 z^2 + -51123374196914 z + -68941420577415 Sigma: ((0 7 17 15 10 4) (1 9 16 13 14 8 5 2) (3 11 12 6)) Alpha: ((0 1) (2 3) (4 5) (6 7) (8 9) (10 11) (12 13) (14 15) (16 17)) Phi: ((0 2 6) (1 4 8) (3 5 10) (7 12 16) (9 14 17) (11 15 13)) Order number: 3 Passport: 8(1) 6(1) 4(1) Modulus: 1.27926157117100646618515642864630357064645232013980168530956917830146888572876930 I Klein invariant: 3905.77777777777777777777777777777777777777777777777777777777777777777777777777777778 root of 9 z + -35152 g2 coefficient: 139.97649929689003992861251468255693602201909455232352781908610009652509805043908874 root of 5028790410 z^7 + -700339910556 z^6 + -495973306724 z^5 + -572699547123 z^4 + -211347443499 z^3 + 288460955730 z^2 + 451604122656 z + -209700155736 g3 coefficient: 237.98732401826948821921640757322857343632017156732717234559862930684723532478735451 root of 4267174939 z^7 + -1012038170904 z^6 + -838576962429 z^5 + 1594786525169 z^4 + 1193216738702 z^3 + 843408417091 z^2 + -507608148608 z + 166392780649 Sigma: ((0 7 14 10 4) (1 9 17 15 13 8 5 2) (3 11 16 12 6)) Alpha: ((0 1) (2 3) (4 5) (6 7) (8 9) (10 11) (12 13) (14 15) (16 17)) Phi: ((0 2 6) (1 4 8) (3 5 10) (7 12 15) (9 13 16) (11 14 17)) Order number: 4 Passport: 8(1) 5(2) Modulus: (0.50000000000000000000000000000000000000000000000000000000000000000000000000000000 + 1.31041158863171285201014981813310837950641133690666314981234848554728967989732594 I) Klein invariant: -3072 root of z + 3072 g2 coefficient: 121.61989544229603881665633683997658030027251060392718210916296144185584254578036887 root of 3136227641 z^7 + -386227698030 z^6 + 585324548056 z^5 + -189489277918 z^4 + 168387776662 z^3 + 138063516048 z^2 + -691860782177 z + -544006731022 g3 coefficient: 322.65252600620811964724959409695056052305830977671535527470903530598228977686614575 root of 2431849965 z^7 + -783556930468 z^6 + -350392582118 z^5 + 38363409661 z^4 + 97535627272 z^3 + -30229494293 z^2 + -1222600019570 z + -557628023252 Sigma: ((0 5 13 10 6 2 1 7 14 8 4 3) (9 16 12) (11 17 15)) Alpha: ((0 1) (2 3) (4 5) (6 7) (8 9) (10 11) (12 13) (14 15) (16 17)) Phi: ((0 2 4) (1 3 6) (5 8 12) (7 10 15) (9 14 17) (11 13 16)) Order number: 5 Passport: 12(1) 3(2) Modulus: (0.50000000000000000000000000000000000000000000000000000000000000000000000000000000 + 1.31041158863171285201014981813310837950641133690666314981234848554728967989732594 I) Klein invariant: -3072 root of z + 3072 g2 coefficient: 121.61989544229603881665633683997658030027251060392718210916296144185584254578036887 root of 3672788785 z^7 + -448524103868 z^6 + 224393044352 z^5 + -73160355105 z^4 + -312204002286 z^3 + -25211009492 z^2 + -24189393290 z + 172429626550 g3 coefficient: 322.65252600620811964724959409695056052305830977671535527470903530598228977686614575 root of 12591680746 z^6 + -4071475235049 z^5 + 2827576026913 z^4 + -2682426602850 z^3 + -4454123328090 z^2 + 21915517883761 z + 19454215225683 Sigma: ((0 7 17 14 9 5 12 6 3 15 10 4) (1 8 2) (11 16 13)) Alpha: ((0 1) (2 3) (4 5) (6 7) (8 9) (10 11) (12 13) (14 15) (16 17)) Phi: ((0 2 6) (1 4 9) (3 8 14) (5 10 13) (7 12 16) (11 15 17)) Order number: 6 Passport: 12(1) 3(2) Modulus: (0.50000000000000000000000000000000000000000000000000000000000000000000000000000000 + 0.86602540378443864676372317075293618347140262690519031402790348972596650845440002 I) root of z^2 + -1 z + 1 Klein invariant: 0 root of z g2 coefficient: 0 root of z g3 coefficient: 820.82443707955622371582988213729528125215266857813805171958235572269333541641960385 root of 39762433522 z^6 + -32517252516083 z^5 + -99156309618280 z^4 + 51432061473788 z^3 + -32604443787213 z^2 + -1418955005544 z + -6166823948287 Sigma: ((0 5 13 8 4 3) (1 7 15 10 6 2) (9 17 14 11 16 12)) Alpha: ((0 1) (2 3) (4 5) (6 7) (8 9) (10 11) (12 13) (14 15) (16 17)) Phi: ((0 2 4) (1 3 6) (5 8 12) (7 10 14) (9 13 16) (11 15 17)) Order number: 7 Passport: 6(3) Modulus: (0.50000000000000000000000000000000000000000000000000000000000000000000000000000000 + 2.59807621135331594029116951225880855041420788071557094208371046917789952536320006 I) root of z^2 + -1 z + 7 Klein invariant: -12288000 root of z + 12288000 g2 coefficient: 129.87625150569163213736148882970456517733197373152069102197506764087233571575154915 root of 1914154346 z^7 + -244913442828 z^6 + -476709092913 z^5 + -327861384335 z^4 + 383250732767 z^3 + 194694185714 z^2 + 385751903245 z + -865298240508 g3 coefficient: 284.86774016615600082318924578976091379532870390983391918388797804916517676317443042 root of 1276582242 z^7 + -362266732647 z^6 + -397660836920 z^5 + 454610606984 z^4 + -431483363332 z^3 + -1519698408406 z^2 + -62753404326 z + -1149974246022 Sigma: ((0 5 13 14 11 8 4 3) (1 7 15 16 10 6 2) (9 17 12)) Alpha: ((0 1) (2 3) (4 5) (6 7) (8 9) (10 11) (12 13) (14 15) (16 17)) Phi: ((0 2 4) (1 3 6) (5 8 12) (7 10 14) (9 11 16) (13 17 15)) Order number: 8 Passport: 8(1) 7(1) 3(1) Modulus: 1.74629616085977080426511596370586264643436242940512809906835482890416715517406624 I Klein invariant: 58985.91336375406520256627106165629804562856711436284862910995383224835087359155795325 root of 1977326743 z + -116634423954432 g2 coefficient: 130.41409909086716865761431895959818982821966205135970032349103396401941277487942963 root of 5307345865 z^7 + -690846165588 z^6 + -168484492065 z^5 + -250464171203 z^4 + 181196911649 z^3 + 9141366849 z^2 + 681329779874 z + 688315656068 g3 coefficient: 282.38949745868618177965122611983499881391083730772561779879383862730960996415028387 root of 176859375531 z^6 + -49977649102770 z^5 + 9755572852506 z^4 + -10164670429177 z^3 + -2647872344514 z^2 + -29229925581221 z + -1404025683014 Sigma: ((0 5 13 14 8 4 3) (1 7 17 15 10 6 2) (9 16 11 12)) Alpha: ((0 1) (2 3) (4 5) (6 7) (8 9) (10 11) (12 13) (14 15) (16 17)) Phi: ((0 2 4) (1 3 6) (5 8 12) (7 10 16) (9 14 17) (11 15 13)) Order number: 9 Passport: 7(2) 4(1) Modulus: (0.50000000000000000000000000000000000000000000000000000000000000000000000000000000 + 1.87494825658178184543024111145590103027750284455253500578163750850805837258514432 I) Klein invariant: -129955.86328125000000000000000000000000000000000000000000000000000000000000000000000000 root of 256 z + 33268701 g2 coefficient: 129.64030943573161372774373924346275542220352968654386355645602121986197660848718411 root of 309974692 z^8 + -40359301948 z^7 + 22592145630 z^6 + -3248221121 z^5 + 26344852606 z^4 + 64791405653 z^3 + 26224712804 z^2 + -26776082614 z + -3390503505 g3 coefficient: 285.95424410937767543888076699021400909418033631450581805217742849571083075582547366 root of 3146316334 z^7 + -900607001223 z^6 + 251173780294 z^5 + 2131000761778 z^4 + 1420254079274 z^3 + -191528656174 z^2 + -665812235698 z + 411337590144 Sigma: ((0 7 16 8 2 1 11 14 9 4) (3 15 12 6) (5 17 13 10)) Alpha: ((0 1) (2 3) (4 5) (6 7) (8 9) (10 11) (12 13) (14 15) (16 17)) Phi: ((0 2 6) (1 4 10) (3 8 14) (5 9 16) (7 12 17) (11 13 15)) Order number: 10 Passport: 10(1) 4(2) Modulus: (-0.26668410892832304710433557555112496895968426738459411456729229297884119238038846 + 0.96378399345761409445979573815645740559385112680724690924120854330799244634691854 I) Klein invariant: 539.49235200000000000000000000000000000000000000000000000000000000000000000000000000 root of 15625 z + -8429568 g2 coefficient: (120.72661338756972868244546276152935500845514200641771136852904572788251095564238837 - 72.35099200589529155464405880314197646474457272490936007947546448981346416548885882 I) root of (964578402 + 229315459 I) z^7 + (-135030273315 + 43979269938 I) z^6 + (101956310463 - 367978299103 I) z^5 + (130668811307 - 455042129745 I) z^4 + (-896275500189 - 203902234236 I) z^3 + (132756078511 + 420054997275 I) z^2 + (153651272267 - 373788945641 I) z + (711885727408 + 501976984487 I) g3 coefficient: (345.40833391306637341551203334636661142755829210107546171372465537850022051978568701 + 328.91479939508395251797783156674399777220792984095355714407389937369359750217901287 I) root of (1625085009 - 1484392455 I) z^7 + (-1048154861278 - 18380181887 I) z^6 + (639138144838 - 1640990393859 I) z^5 + (-641667316015 + 141614235060 I) z^4 + (-78100354976 - 642225138497 I) z^3 + (1693453615950 + 1274720755919 I) z^2 + (-1238870019218 + 1538973822043 I) z + (-1484300544366 - 1473846083718 I) Sigma: ((0 7 17 14 9 4) (1 11 16 13 8 2) (3 15 10 5 12 6)) Alpha: ((0 1) (2 3) (4 5) (6 7) (8 9) (10 11) (12 13) (14 15) (16 17)) Phi: ((0 2 6) (1 4 10) (3 8 14) (5 9 13) (7 12 16) (11 15 17)) Order number: 11 Passport: 6(3) Modulus: (0.5000000000000000000000000000000000000000000000000000000000000000000 + 0.8660254037844386467637231707529361834714026269051903140279034897260 I) root of z^2 + -1 z + 1 Klein invariant: 0 root of z g2 coefficient: 0 root of z g3 coefficient: 820.8244370795562237158298821372952812521526685781380517195823557226933 root of 12479730 z^6 + -10236685230 z^5 + -5723069113 z^4 + -6586624077 z^3 + -2002410862 z^2 + -981664066 z + -4048866678