Magma V2.19-8 Tue Aug 20 2013 23:39:02 on localhost [Seed = 3296895137] Type ? for help. Type -D to quit. Loading file "K12n603__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n603 geometric_solution 9.82292911 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 -1 12 -11 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 0.576102145504 0.704172425109 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 -1 0 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 12 0 -12 0 0 1 -1 -1 0 0 1 0 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570741787037 1.143941305112 4 0 6 7 3012 0132 3012 3012 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 0 0 0 0 1 -1 0 11 0 0 -11 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.627487213238 1.042371854408 7 8 6 0 1230 0132 0132 0132 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 0 12 -12 0 0 0 0 0 0 0 0 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.670040646347 0.615116505120 9 8 0 2 0132 0321 0132 1230 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 0 0 0 0 0 0 11 -11 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 0.615013415535 0.648110547676 9 1 8 9 2031 0132 2103 3201 0 0 0 0 0 1 0 -1 -1 0 0 1 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 -12 0 12 11 0 0 -11 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.312979495342 1.659034965539 10 2 1 3 0132 1230 0132 0132 0 0 0 0 0 0 -1 1 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 0 12 -12 -1 0 1 0 -11 0 0 11 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570741787037 1.143941305112 10 3 2 1 3012 3012 1230 0132 0 0 0 0 0 1 -1 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 -11 11 0 0 0 1 -1 12 0 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.670040646347 0.615116505120 5 3 10 4 2103 0132 2310 0321 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 0.938161059566 0.750166232355 4 5 5 10 0132 2310 1302 3012 0 0 0 0 0 0 1 -1 0 0 0 0 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -11 11 0 0 0 0 0 11 0 -11 0 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.972020154639 0.417622411362 6 8 9 7 0132 3201 1230 1230 0 0 0 0 0 0 0 0 0 0 -1 1 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 0 0 0 1 0 11 -12 0 0 0 0 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.192258791558 0.670228512221 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_5']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0011_10'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0101_10']), 'c_1001_0' : negation(d['c_0101_7']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0011_10'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : negation(d['c_0101_7']), 'c_1010_10' : d['c_0101_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(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_9' : d['c_0101_5'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0110_2'], 'c_1100_7' : d['c_0110_2'], 'c_1100_6' : d['c_0110_2'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : d['c_0011_3'], 'c_1100_10' : d['c_0101_1'], 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_10']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0101_7']), 'c_1010_2' : negation(d['c_0101_7']), 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0011_10'], 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : d['c_0101_2'], 'c_1100_8' : d['c_0011_10'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_10']), '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_0110_10' : d['c_0011_7'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_7'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_7'], 'c_0101_9' : negation(d['c_0011_0']), 'c_0101_8' : d['c_0101_5'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0011_7'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_7'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_7, c_0101_1, c_0101_10, c_0101_2, c_0101_5, c_0101_7, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 115285541/37628*c_0110_2^5 - 8558921/6953*c_0110_2^4 - 217662538/159919*c_0110_2^3 + 1254693/37628*c_0110_2^2 + 975617697/639676*c_0110_2 - 208592371/319838, c_0011_0 - 1, c_0011_10 - 901/409*c_0110_2^5 - 1022/409*c_0110_2^4 + 165/409*c_0110_2^3 - 142/409*c_0110_2^2 - 160/409*c_0110_2 - 365/409, c_0011_3 + 748/409*c_0110_2^5 - 857/409*c_0110_2^4 - 1418/409*c_0110_2^3 + 33/409*c_0110_2^2 + 619/409*c_0110_2 - 160/409, c_0011_4 - 2*c_0110_2, c_0011_7 + 1904/409*c_0110_2^5 + 979/409*c_0110_2^4 + 369/409*c_0110_2^3 - 734/409*c_0110_2^2 + 423/409*c_0110_2 + 262/409, c_0101_1 - 3553/409*c_0110_2^5 - 1144/409*c_0110_2^4 + 1214/409*c_0110_2^3 + 559/409*c_0110_2^2 - 793/409*c_0110_2 - 467/409, c_0101_10 + 2652/409*c_0110_2^5 + 122/409*c_0110_2^4 - 1049/409*c_0110_2^3 - 701/409*c_0110_2^2 + 633/409*c_0110_2 + 102/409, c_0101_2 + 2652/409*c_0110_2^5 + 122/409*c_0110_2^4 - 1049/409*c_0110_2^3 - 701/409*c_0110_2^2 + 633/409*c_0110_2 - 307/409, c_0101_5 + 1734/409*c_0110_2^5 + 2754/409*c_0110_2^4 - 796/409*c_0110_2^3 - 1355/409*c_0110_2^2 + 524/409*c_0110_2 + 633/409, c_0101_7 + 2652/409*c_0110_2^5 + 122/409*c_0110_2^4 - 1049/409*c_0110_2^3 - 701/409*c_0110_2^2 + 1042/409*c_0110_2 + 102/409, c_0110_2^6 + 1/17*c_0110_2^5 - 9/17*c_0110_2^4 - 3/17*c_0110_2^3 + 8/17*c_0110_2^2 - 1/17 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_7, c_0101_1, c_0101_10, c_0101_2, c_0101_5, c_0101_7, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 4189652448607/183572259776*c_0110_2^12 - 1184505102191/22946532472*c_0110_2^11 + 13701498930923/183572259776*c_0110_2^10 + 19296052162423/183572259776*c_0110_2^9 + 54742997687675/183572259776*c_0110_2^8 - 1421942058783/11473266236*c_0110_2^7 + 169456229429387/183572259776*c_0110_2^6 + 36997315911215/183572259776*c_0110_2^5 + 90534227790875/183572259776*c_0110_2^4 - 18364100652393/183572259776*c_0110_2^3 + 23437584876843/183572259776*c_0110_2^2 + 332326360619/91786129888*c_0110_2 + 5531129751709/45893064944, c_0011_0 - 1, c_0011_10 + 1, c_0011_3 - 181325919/5736633118*c_0110_2^12 + 323947687/5736633118*c_0110_2^11 - 124138719/5736633118*c_0110_2^10 - 737258440/2868316559*c_0110_2^9 - 1306523418/2868316559*c_0110_2^8 + 2201119931/5736633118*c_0110_2^7 - 2453391251/5736633118*c_0110_2^6 - 1915753120/2868316559*c_0110_2^5 + 1250397746/2868316559*c_0110_2^4 + 5342572453/2868316559*c_0110_2^3 + 118059741/2868316559*c_0110_2^2 + 1616280837/5736633118*c_0110_2 - 480147885/2868316559, c_0011_4 + 109665899/2868316559*c_0110_2^12 - 477577502/2868316559*c_0110_2^11 + 1007482030/2868316559*c_0110_2^10 - 564685902/2868316559*c_0110_2^9 + 950937254/2868316559*c_0110_2^8 - 3235451962/2868316559*c_0110_2^7 + 7401523381/2868316559*c_0110_2^6 - 8955115037/2868316559*c_0110_2^5 + 7728391277/2868316559*c_0110_2^4 - 5915536099/2868316559*c_0110_2^3 + 5092049370/2868316559*c_0110_2^2 - 76233477/2868316559*c_0110_2 + 2460928942/2868316559, c_0011_7 - 181325919/5736633118*c_0110_2^12 + 323947687/5736633118*c_0110_2^11 - 124138719/5736633118*c_0110_2^10 - 737258440/2868316559*c_0110_2^9 - 1306523418/2868316559*c_0110_2^8 + 2201119931/5736633118*c_0110_2^7 - 2453391251/5736633118*c_0110_2^6 - 1915753120/2868316559*c_0110_2^5 + 1250397746/2868316559*c_0110_2^4 + 5342572453/2868316559*c_0110_2^3 + 118059741/2868316559*c_0110_2^2 + 1616280837/5736633118*c_0110_2 - 480147885/2868316559, c_0101_1 - 164623340/2868316559*c_0110_2^12 + 373263478/2868316559*c_0110_2^11 - 324910878/2868316559*c_0110_2^10 - 1228449329/2868316559*c_0110_2^9 - 1545386643/2868316559*c_0110_2^8 + 2188175223/2868316559*c_0110_2^7 - 4219056328/2868316559*c_0110_2^6 - 2617487569/2868316559*c_0110_2^5 + 4961665874/2868316559*c_0110_2^4 + 3610404336/2868316559*c_0110_2^3 - 194764533/2868316559*c_0110_2^2 - 1135155871/2868316559*c_0110_2 - 1062919089/2868316559, c_0101_10 + 160074587/2868316559*c_0110_2^12 - 195404310/2868316559*c_0110_2^11 + 95173564/2868316559*c_0110_2^10 + 1381791774/2868316559*c_0110_2^9 + 2696719554/2868316559*c_0110_2^8 + 1094038963/2868316559*c_0110_2^7 + 4741366084/2868316559*c_0110_2^6 + 7899913629/2868316559*c_0110_2^5 + 2897846370/2868316559*c_0110_2^4 + 1849721314/2868316559*c_0110_2^3 - 3490985424/2868316559*c_0110_2^2 + 141713224/2868316559*c_0110_2 + 488304601/2868316559, c_0101_2 + 164623340/2868316559*c_0110_2^12 - 373263478/2868316559*c_0110_2^11 + 324910878/2868316559*c_0110_2^10 + 1228449329/2868316559*c_0110_2^9 + 1545386643/2868316559*c_0110_2^8 - 2188175223/2868316559*c_0110_2^7 + 4219056328/2868316559*c_0110_2^6 + 2617487569/2868316559*c_0110_2^5 - 4961665874/2868316559*c_0110_2^4 - 3610404336/2868316559*c_0110_2^3 + 194764533/2868316559*c_0110_2^2 + 1135155871/2868316559*c_0110_2 + 1062919089/2868316559, c_0101_5 - 444259509/5736633118*c_0110_2^12 + 1008344481/5736633118*c_0110_2^11 - 1768776583/5736633118*c_0110_2^10 - 605283737/2868316559*c_0110_2^9 - 3497922950/2868316559*c_0110_2^8 + 1277988639/5736633118*c_0110_2^7 - 20996246255/5736633118*c_0110_2^6 - 271231583/2868316559*c_0110_2^5 - 10113337151/2868316559*c_0110_2^4 + 2293080354/2868316559*c_0110_2^3 - 1498093870/2868316559*c_0110_2^2 + 3084230199/5736633118*c_0110_2 + 937006493/2868316559, c_0101_7 + 365323419/5736633118*c_0110_2^12 - 1613947505/5736633118*c_0110_2^11 + 3376834753/5736633118*c_0110_2^10 - 877354794/2868316559*c_0110_2^9 + 1082378273/2868316559*c_0110_2^8 - 9844054509/5736633118*c_0110_2^7 + 23991916185/5736633118*c_0110_2^6 - 15553568040/2868316559*c_0110_2^5 + 7226799925/2868316559*c_0110_2^4 - 5594270535/2868316559*c_0110_2^3 + 4079035306/2868316559*c_0110_2^2 - 3217298549/5736633118*c_0110_2 + 2101498825/2868316559, c_0110_2^13 - 3*c_0110_2^12 + 5*c_0110_2^11 + 2*c_0110_2^10 + 10*c_0110_2^9 - 15*c_0110_2^8 + 45*c_0110_2^7 - 22*c_0110_2^6 + 18*c_0110_2^5 - 22*c_0110_2^4 + 10*c_0110_2^3 - 5*c_0110_2^2 + 6*c_0110_2 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.330 Total time: 0.540 seconds, Total memory usage: 32.09MB