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Loading file "K13a4874__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13a4874 geometric_solution 5.20861095 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 8 1 2 3 1 0132 0132 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 19 1 0 -20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.740657129104 0.685619154481 0 0 4 4 0132 1302 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 -19 20 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.272900804487 0.673068706237 4 0 3 5 0321 0132 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.727611576133 2.461656780017 2 5 4 0 2310 1023 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.185397555158 1.834589404066 2 1 1 3 0321 1230 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -1 0 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.740657129104 0.685619154481 3 6 2 6 1023 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.179155286080 0.625903041220 5 5 7 7 3201 0132 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.342719006309 0.061772487360 6 7 6 7 2310 2310 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.687839201264 0.150894329691 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_7']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_1001_4']), 'c_1100_7' : negation(d['c_0011_7']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1001_4']), 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0101_7']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_6']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : negation(d['c_0101_6']), 'c_0110_4' : d['c_0011_0'], 'c_0110_7' : negation(d['c_0101_6']), 'c_0110_6' : d['c_0101_7'], 'c_1010_7' : d['c_0101_6'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : negation(d['c_0101_6']), 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 9 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_7, c_0101_0, c_0101_6, c_0101_7, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 17620249371561292/466060561838235*c_1001_4^14 - 108616952198255087/932121123676470*c_1001_4^13 - 22563088931161421/62141408245098*c_1001_4^12 + 4773756506318797/310707041225490*c_1001_4^11 + 36916065738082981/155353520612745*c_1001_4^10 - 1770372189080933371/932121123676470*c_1001_4^9 - 341963718128024438/66580080262605*c_1001_4^8 - 2434807074883760261/932121123676470*c_1001_4^7 + 57141608467333426/27415327166955*c_1001_4^6 - 73409383800203173/186424224735294*c_1001_4^5 - 6100416526521583993/932121123676470*c_1001_4^4 - 1703255156958361619/310707041225490*c_1001_4^3 - 194806723970610509/932121123676470*c_1001_4^2 + 665950753002061757/466060561838235*c_1001_4 + 411487701703569619/932121123676470, c_0011_0 - 1, c_0011_3 + 17216070219/3188014090*c_1001_4^14 + 26360992367/3188014090*c_1001_4^13 + 21818607663/637602818*c_1001_4^12 - 204230361301/3188014090*c_1001_4^11 + 102602765139/3188014090*c_1001_4^10 + 428191550118/1594007045*c_1001_4^9 + 480533827186/1594007045*c_1001_4^8 - 537530456222/1594007045*c_1001_4^7 - 184354753062/1594007045*c_1001_4^6 + 137336001964/318801409*c_1001_4^5 + 1343020402763/3188014090*c_1001_4^4 - 319754805374/1594007045*c_1001_4^3 - 408975144911/3188014090*c_1001_4^2 + 43201579133/1594007045*c_1001_4 + 13476428793/1594007045, c_0011_4 - 647486201/1594007045*c_1001_4^14 - 1948757251/3188014090*c_1001_4^13 - 820703646/318801409*c_1001_4^12 + 7732225044/1594007045*c_1001_4^11 - 8476048027/3188014090*c_1001_4^10 - 31869893639/1594007045*c_1001_4^9 - 70316745621/3188014090*c_1001_4^8 + 79513389687/3188014090*c_1001_4^7 + 10763460186/1594007045*c_1001_4^6 - 20233130047/637602818*c_1001_4^5 - 93416949249/3188014090*c_1001_4^4 + 45634456189/3188014090*c_1001_4^3 + 12656350649/1594007045*c_1001_4^2 - 3007839859/1594007045*c_1001_4 + 562615256/1594007045, c_0011_7 + 48982334059/3188014090*c_1001_4^14 + 71969178217/3188014090*c_1001_4^13 + 30326027522/318801409*c_1001_4^12 - 302341471503/1594007045*c_1001_4^11 + 155300683127/1594007045*c_1001_4^10 + 2443090663421/3188014090*c_1001_4^9 + 2571536533957/3188014090*c_1001_4^8 - 1674265123212/1594007045*c_1001_4^7 - 516475309702/1594007045*c_1001_4^6 + 406616299796/318801409*c_1001_4^5 + 3629611392833/3188014090*c_1001_4^4 - 1109643407019/1594007045*c_1001_4^3 - 642757596143/1594007045*c_1001_4^2 + 165156045703/1594007045*c_1001_4 + 103562217431/3188014090, c_0101_0 - 1031391789/1594007045*c_1001_4^14 - 1415297377/1594007045*c_1001_4^13 - 2498145559/637602818*c_1001_4^12 + 13386044331/1594007045*c_1001_4^11 - 7732225044/1594007045*c_1001_4^10 - 100851481607/3188014090*c_1001_4^9 - 49610057692/1594007045*c_1001_4^8 + 150765305163/3188014090*c_1001_4^7 + 33939707103/3188014090*c_1001_4^6 - 16798455441/318801409*c_1001_4^5 - 140180028391/3188014090*c_1001_4^4 + 101668083561/3188014090*c_1001_4^3 + 51316371977/3188014090*c_1001_4^2 - 3842601081/1594007045*c_1001_4 - 2149119086/1594007045, c_0101_6 + 3714980259/1594007045*c_1001_4^14 + 5280841432/1594007045*c_1001_4^13 + 4547603086/318801409*c_1001_4^12 - 47063358556/1594007045*c_1001_4^11 + 51174871343/3188014090*c_1001_4^10 + 183507909396/1594007045*c_1001_4^9 + 187312353947/1594007045*c_1001_4^8 - 528477794183/3188014090*c_1001_4^7 - 70898212199/1594007045*c_1001_4^6 + 122632998215/637602818*c_1001_4^5 + 530190763291/3188014090*c_1001_4^4 - 182314576893/1594007045*c_1001_4^3 - 191835163267/3188014090*c_1001_4^2 + 48339386897/3188014090*c_1001_4 + 15921097817/3188014090, c_0101_7 - 31241809538/1594007045*c_1001_4^14 - 47605717824/1594007045*c_1001_4^13 - 39311672643/318801409*c_1001_4^12 + 747635525519/3188014090*c_1001_4^11 - 181758453008/1594007045*c_1001_4^10 - 1564025392292/1594007045*c_1001_4^9 - 3451245969403/3188014090*c_1001_4^8 + 2013853694203/1594007045*c_1001_4^7 + 1444318609721/3188014090*c_1001_4^6 - 1017410754595/637602818*c_1001_4^5 - 2431046275471/1594007045*c_1001_4^4 + 2496520156177/3188014090*c_1001_4^3 + 1648612852689/3188014090*c_1001_4^2 - 350405921419/3188014090*c_1001_4 - 61992674227/1594007045, c_1001_4^15 + 2*c_1001_4^14 + 7*c_1001_4^13 - 9*c_1001_4^12 + 53*c_1001_4^10 + 79*c_1001_4^9 - 39*c_1001_4^8 - 55*c_1001_4^7 + 71*c_1001_4^6 + 117*c_1001_4^5 - 4*c_1001_4^4 - 47*c_1001_4^3 - 7*c_1001_4^2 + 5*c_1001_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB