Magma V2.19-8 Wed Aug 21 2013 00:15:01 on localhost [Seed = 391216098] Type ? for help. Type -D to quit. Loading file "K13n4361__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n4361 geometric_solution 11.33542633 oriented_manifold CS_known 0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 0 1 -1 14 0 0 -14 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570503054663 0.520372963769 0 5 6 6 0132 0132 3201 0132 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 0 0 0 -14 0 0 14 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.569602376489 1.323039646204 7 0 4 8 0132 0132 0132 0132 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 0 0 0 0 1 0 14 -15 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.147663728518 1.219020178525 9 10 11 0 0132 0132 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 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 0.591733788823 0.622787192426 8 12 0 2 0132 0132 0132 0132 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 0 -1 1 0 0 0 14 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.073078983833 1.793819033502 12 1 10 12 2031 0132 0132 1023 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 1 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 0.570503054663 0.520372963769 1 11 1 11 2310 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 1 -1 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 0 0 0 -1 0 -14 15 0 -15 0 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.595136327194 0.743782243852 2 9 10 10 0132 2103 2103 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 -1 0 0 1 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.391658124932 0.435202830129 4 9 2 11 0132 2310 0132 0132 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 0 0 0 0 0 0 15 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.449897464989 0.772294947594 3 7 12 8 0132 2103 3201 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.364380595664 0.613108333745 7 3 7 5 2103 0132 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 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 -0.142534650636 1.269562104867 6 6 8 3 3201 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 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 -15 0 15 0 0 0 0 0 -15 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.619249469381 0.449302252976 9 4 5 5 2310 0132 1302 1023 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 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 0.043200325771 0.872725707851 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_3']), 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_0110_5'], 'c_1001_5' : d['c_1001_3'], 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_1001_3'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_0011_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0110_5'], 'c_1010_11' : d['c_1001_3'], 'c_1010_10' : d['c_1001_3'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : 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' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_5']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : d['c_0011_11'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0011_12']), 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : negation(d['c_0101_5']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_0'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : negation(d['c_1001_0']), 'c_1010_8' : negation(d['c_0101_3']), 'c_1100_8' : d['c_1100_0'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(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'], 'c_1100_12' : d['c_0101_5'], '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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_12'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_12']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : negation(d['c_0101_0']), 'c_0101_12' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_10'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_10'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : negation(d['c_0101_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_5, c_0110_5, c_1001_0, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - c_1100_0^3 + 2*c_1100_0^2 - c_1100_0 - 1, c_0011_0 - 1, c_0011_10 - c_1100_0^3, c_0011_11 + c_1100_0 - 1, c_0011_12 + c_1100_0^3 - 2*c_1100_0^2 + 2*c_1100_0, c_0101_0 - c_1100_0, c_0101_1 + c_1100_0^2 - c_1100_0, c_0101_10 - c_1100_0^2 + c_1100_0 - 1, c_0101_3 + 1, c_0101_5 - c_1100_0^2 + c_1100_0, c_0110_5 - c_1100_0 + 1, c_1001_0 - c_1100_0^3 + c_1100_0^2 - c_1100_0 + 1, c_1001_3 + c_1100_0^2 - c_1100_0, c_1100_0^4 - 2*c_1100_0^3 + 2*c_1100_0^2 - c_1100_0 + 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_5, c_0110_5, c_1001_0, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 124674100082/590812729599*c_1100_0^11 + 7968800922/196937576533*c_1100_0^10 - 22729392666/196937576533*c_1100_0^9 + 36717449648/590812729599*c_1100_0^8 + 306059331978/196937576533*c_1100_0^7 + 993318339338/590812729599*c_1100_0^6 + 23852644220/10365135607*c_1100_0^5 + 425437055866/196937576533*c_1100_0^4 + 1155823429600/590812729599*c_1100_0^3 - 462262122409/590812729599*c_1100_0^2 - 336740851844/196937576533*c_1100_0 - 39582382205/31095406821, c_0011_0 - 1, c_0011_10 - 6/19*c_1100_0^11 + 1/57*c_1100_0^10 + 17/57*c_1100_0^9 - 15/19*c_1100_0^8 - 131/57*c_1100_0^7 - 104/57*c_1100_0^6 - 44/19*c_1100_0^5 - 119/19*c_1100_0^4 - 269/57*c_1100_0^3 - 94/19*c_1100_0^2 - 257/57*c_1100_0 - 6, c_0011_11 - 2/19*c_1100_0^11 + 4/57*c_1100_0^10 - 2/19*c_1100_0^9 + 4/57*c_1100_0^8 - 44/57*c_1100_0^7 - 34/57*c_1100_0^6 - 70/57*c_1100_0^5 - 7/19*c_1100_0^4 - 110/57*c_1100_0^3 - 100/57*c_1100_0^2 - 68/57*c_1100_0 - 2/3, c_0011_12 + 5/57*c_1100_0^11 - 3/19*c_1100_0^10 + 1/19*c_1100_0^8 + 32/57*c_1100_0^7 - 32/57*c_1100_0^6 + 11/57*c_1100_0^5 - 83/57*c_1100_0^4 - 22/57*c_1100_0^3 - 83/57*c_1100_0^2 - 2/3*c_1100_0 - 7/3, c_0101_0 - 2/57*c_1100_0^11 - 1/57*c_1100_0^10 + 2/19*c_1100_0^9 - 5/57*c_1100_0^8 - 11/57*c_1100_0^7 - 25/57*c_1100_0^6 + 1/19*c_1100_0^5 - 2/57*c_1100_0^4 + 16/57*c_1100_0^3 - 56/57*c_1100_0^2 + 10/19*c_1100_0 + 1/3, c_0101_1 - 2/57*c_1100_0^11 - 1/57*c_1100_0^10 + 2/19*c_1100_0^9 - 5/57*c_1100_0^8 - 11/57*c_1100_0^7 - 25/57*c_1100_0^6 + 1/19*c_1100_0^5 - 2/57*c_1100_0^4 + 16/57*c_1100_0^3 + 1/57*c_1100_0^2 + 10/19*c_1100_0 + 1/3, c_0101_10 + 8/57*c_1100_0^11 - 5/57*c_1100_0^10 - 4/57*c_1100_0^9 + 20/57*c_1100_0^8 + 50/57*c_1100_0^7 + 4/19*c_1100_0^6 + c_1100_0^5 + 125/57*c_1100_0^4 + 74/57*c_1100_0^3 + 47/57*c_1100_0^2 + 25/19*c_1100_0 + 4/3, c_0101_3 - 1/57*c_1100_0^11 - 8/57*c_1100_0^10 + 7/57*c_1100_0^9 + 7/57*c_1100_0^8 - 29/57*c_1100_0^7 - 17/19*c_1100_0^6 - 17/57*c_1100_0^5 - 9/19*c_1100_0^4 - 86/57*c_1100_0^3 - 11/19*c_1100_0^2 - 41/57*c_1100_0 - 1/3, c_0101_5 - 13/57*c_1100_0^11 + 5/57*c_1100_0^10 + 5/57*c_1100_0^9 - 23/57*c_1100_0^8 - 5/3*c_1100_0^7 - 49/57*c_1100_0^6 - 113/57*c_1100_0^5 - 191/57*c_1100_0^4 - 60/19*c_1100_0^3 - 47/19*c_1100_0^2 - 55/19*c_1100_0 - 10/3, c_0110_5 - 1/19*c_1100_0^11 + 1/19*c_1100_0^10 - 1/57*c_1100_0^9 + 2/57*c_1100_0^8 - 29/57*c_1100_0^7 - 1/19*c_1100_0^6 - 11/57*c_1100_0^5 + 5/57*c_1100_0^4 - 64/57*c_1100_0^3 - 5/57*c_1100_0^2 - 43/57*c_1100_0 - 2/3, c_1001_0 - 8/57*c_1100_0^11 - 1/57*c_1100_0^10 + 11/57*c_1100_0^9 - 20/57*c_1100_0^8 - 65/57*c_1100_0^7 - 58/57*c_1100_0^6 - 10/19*c_1100_0^5 - 161/57*c_1100_0^4 - 51/19*c_1100_0^3 - 146/57*c_1100_0^2 - 26/19*c_1100_0 - 10/3, c_1001_3 - 14/57*c_1100_0^11 + 11/57*c_1100_0^10 + 2/57*c_1100_0^9 - 35/57*c_1100_0^8 - 89/57*c_1100_0^7 + 1/57*c_1100_0^6 - 39/19*c_1100_0^5 - 248/57*c_1100_0^4 - 164/57*c_1100_0^3 - 5/3*c_1100_0^2 - 60/19*c_1100_0 - 5, c_1100_0^12 + c_1100_0^9 + 9*c_1100_0^8 + 6*c_1100_0^7 + 14*c_1100_0^6 + 18*c_1100_0^5 + 30*c_1100_0^4 + 17*c_1100_0^3 + 27*c_1100_0^2 + 21*c_1100_0 + 19 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_5, c_0110_5, c_1001_0, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t - 51225238019202300648255965177/21553184759519623823316*c_1100_0^18 - 1429959181837399611695212847359/86212739038078495293264*c_1100_0^17 - 2134799242738063068095790963581/114950318717437993724352*c_1100_0\ ^16 - 2731795685797306920368781336461/86212739038078495293264*c_110\ 0_0^15 - 52268253775547831812341589462117/1839205099479007899589632\ *c_1100_0^14 - 191525950990411098512377759752569/551761529843702369\ 8768896*c_1100_0^13 - 20078808279262846728777660338351/689701912304\ 627962346112*c_1100_0^12 - 153533527350882007836949556886227/551761\ 5298437023698768896*c_1100_0^11 - 39897538780958435176807753095301/\ 1839205099479007899589632*c_1100_0^10 - 92705695156710727604653937501125/5517615298437023698768896*c_1100_0\ ^9 - 455057648494576303723921961647/38316772905812664574784*c_1100_\ 0^8 - 41763509871973128296233707320089/5517615298437023698768896*c_\ 1100_0^7 - 6148608679726390509285470061059/137940382460925592469222\ 4*c_1100_0^6 - 12534856557568989587396086858889/5517615298437023698\ 768896*c_1100_0^5 - 39055932058779038296036800047/38316772905812664\ 574784*c_1100_0^4 - 1092885686013597173700977901617/275880764921851\ 1849384448*c_1100_0^3 - 52025539726658943253467775507/4598012748697\ 51974897408*c_1100_0^2 - 81028920884735612682625319981/275880764921\ 8511849384448*c_1100_0 - 13578329613042943811588124833/551761529843\ 7023698768896, c_0011_0 - 1, c_0011_10 + 981933182825921553508/1411657372250433837*c_1100_0^18 + 7472577461106426918623/1411657372250433837*c_1100_0^17 + 15834586517666652618013/1882209829667245116*c_1100_0^16 + 17380944149682805233325/1411657372250433837*c_1100_0^15 + 448801668942226462225157/30115357274675921856*c_1100_0^14 + 1378908672141304958722201/90346071824027765568*c_1100_0^13 + 178338850377214680344527/11293258978003470696*c_1100_0^12 + 1223013348743519436415411/90346071824027765568*c_1100_0^11 + 367274488832065003464869/30115357274675921856*c_1100_0^10 + 827255128250202007672613/90346071824027765568*c_1100_0^9 + 4390047550661481675835/627403276555748372*c_1100_0^8 + 418786642229729492785721/90346071824027765568*c_1100_0^7 + 64992225118988121709507/22586517956006941392*c_1100_0^6 + 145616892716618276872681/90346071824027765568*c_1100_0^5 + 488512036684223089703/627403276555748372*c_1100_0^4 + 14919074431594541046961/45173035912013882784*c_1100_0^3 + 879188139637416066995/7528839318668980464*c_1100_0^2 + 1383060079775990916781/45173035912013882784*c_1100_0 + 649929058501336837633/90346071824027765568, c_0011_11 - 1015523045652189888/156850819138937093*c_1100_0^18 - 44394857409736554960/156850819138937093*c_1100_0^17 - 296157453970350739988/156850819138937093*c_1100_0^16 - 480610880413329666288/156850819138937093*c_1100_0^15 - 2388719860312115773613/627403276555748372*c_1100_0^14 - 2797244134589993529803/627403276555748372*c_1100_0^13 - 668648134428665891284/156850819138937093*c_1100_0^12 - 2719027771319881234149/627403276555748372*c_1100_0^11 - 2230041277716460572393/627403276555748372*c_1100_0^10 - 1923951734126873921387/627403276555748372*c_1100_0^9 - 346123904838644046520/156850819138937093*c_1100_0^8 - 991890321152573627579/627403276555748372*c_1100_0^7 - 158282260205044572614/156850819138937093*c_1100_0^6 - 351979696203262995635/627403276555748372*c_1100_0^5 - 44798078154696872557/156850819138937093*c_1100_0^4 - 37128650464833270875/313701638277874186*c_1100_0^3 - 6396949164527937991/156850819138937093*c_1100_0^2 - 3514653922942178549/313701638277874186*c_1100_0 - 954779863092797471/627403276555748372, c_0011_12 - 379509069551692929580/470552457416811279*c_1100_0^18 - 2341359009365371474013/470552457416811279*c_1100_0^17 - 1304201115864172055703/627403276555748372*c_1100_0^16 - 3722383903938649244599/470552457416811279*c_1100_0^15 - 30738867415900455617359/10038452424891973952*c_1100_0^14 - 226135956142886676265675/30115357274675921856*c_1100_0^13 - 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seconds, Total memory usage: 64.12MB