Magma V2.19-8 Tue Aug 20 2013 16:14:20 on localhost [Seed = 2749513600] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s317 geometric_solution 4.49426343 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 0 1 0 0132 1302 2310 2031 0 0 0 0 0 1 0 -1 1 0 0 -1 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 -1 1 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 -2.477181540017 2.895338657981 0 0 3 2 0132 3201 0132 0132 0 0 0 0 0 1 0 -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 0 0 0 0 0 0 0 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.159955054077 0.267455401689 3 3 1 4 1230 1023 0132 0132 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 0 0 0 0 0 0 0 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.273484919775 1.113917299591 2 2 4 1 1023 3012 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 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 0.273484919775 1.113917299591 3 5 2 5 2310 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.712987588532 1.618555432553 4 4 5 5 3201 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.208077312728 0.386727512018 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(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' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0110_5'], 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0011_2'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_2']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_2'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0101_0, c_0101_1, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 165669032/899755*c_0110_5^15 + 129403181/899755*c_0110_5^14 + 4043319582/899755*c_0110_5^13 - 7298426541/899755*c_0110_5^12 - 18554247539/899755*c_0110_5^11 + 38711063329/899755*c_0110_5^10 + 6333578426/179951*c_0110_5^9 - 14104466702/179951*c_0110_5^8 - 31635709987/899755*c_0110_5^7 + 60461128452/899755*c_0110_5^6 + 21561802664/899755*c_0110_5^5 - 24917526461/899755*c_0110_5^4 - 8381399584/899755*c_0110_5^3 + 4002425647/899755*c_0110_5^2 + 205236657/179951*c_0110_5 - 218596539/899755, c_0011_0 - 1, c_0011_2 - 2952278/179951*c_0110_5^15 + 1624800/179951*c_0110_5^14 + 73097787/179951*c_0110_5^13 - 114114251/179951*c_0110_5^12 - 372688809/179951*c_0110_5^11 + 642636136/179951*c_0110_5^10 + 762647660/179951*c_0110_5^9 - 1264005242/179951*c_0110_5^8 - 865525771/179951*c_0110_5^7 + 1154403034/179951*c_0110_5^6 + 597803816/179951*c_0110_5^5 - 498178650/179951*c_0110_5^4 - 221276951/179951*c_0110_5^3 + 84443982/179951*c_0110_5^2 + 25749741/179951*c_0110_5 - 5794894/179951, c_0011_4 - 4373685/179951*c_0110_5^15 + 2864243/179951*c_0110_5^14 + 107462669/179951*c_0110_5^13 - 179646085/179951*c_0110_5^12 - 520888478/179951*c_0110_5^11 + 977897410/179951*c_0110_5^10 + 985140878/179951*c_0110_5^9 - 1840998448/179951*c_0110_5^8 - 1066050314/179951*c_0110_5^7 + 1622108831/179951*c_0110_5^6 + 730517122/179951*c_0110_5^5 - 679283893/179951*c_0110_5^4 - 271974274/179951*c_0110_5^3 + 110166421/179951*c_0110_5^2 + 30963468/179951*c_0110_5 - 6953475/179951, c_0101_0 - 2864243/179951*c_0110_5^15 + 1879456/179951*c_0110_5^14 + 70303960/179951*c_0110_5^13 - 117669532/179951*c_0110_5^12 - 339339400/179951*c_0110_5^11 + 637496257/179951*c_0110_5^10 + 638235073/179951*c_0110_5^9 - 1190771146/179951*c_0110_5^8 - 690513926/179951*c_0110_5^7 + 1040825303/179951*c_0110_5^6 + 473720698/179951*c_0110_5^5 - 432189011/179951*c_0110_5^4 - 175771696/179951*c_0110_5^3 + 69811238/179951*c_0110_5^2 + 20074530/179951*c_0110_5 - 4553636/179951, c_0101_1 + 902973/179951*c_0110_5^15 - 94721/179951*c_0110_5^14 - 22863466/179951*c_0110_5^13 + 25486814/179951*c_0110_5^12 + 136148101/179951*c_0110_5^11 - 165898720/179951*c_0110_5^10 - 336598811/179951*c_0110_5^9 + 376884821/179951*c_0110_5^8 + 414738477/179951*c_0110_5^7 - 378829698/179951*c_0110_5^6 - 280125196/179951*c_0110_5^5 + 174173062/179951*c_0110_5^4 + 96712107/179951*c_0110_5^3 - 31627357/179951*c_0110_5^2 - 10861530/179951*c_0110_5 + 2304497/179951, c_0110_5^16 - 25*c_0110_5^14 + 25*c_0110_5^13 + 146*c_0110_5^12 - 146*c_0110_5^11 - 371*c_0110_5^10 + 275*c_0110_5^9 + 516*c_0110_5^8 - 213*c_0110_5^7 - 405*c_0110_5^6 + 47*c_0110_5^5 + 161*c_0110_5^4 + 15*c_0110_5^3 - 23*c_0110_5^2 - 3*c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB