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Loading file "K9a8__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K9a8 geometric_solution 8.19234796 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 9 1 2 2 3 0132 0132 1302 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.173755061392 1.339675276480 0 4 3 5 0132 0132 0213 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 -1 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 0.234346995786 0.971223208318 0 0 6 4 2031 0132 0132 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 1 0 -1 0 0 0 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.904787608327 0.734100555788 7 1 0 8 0132 0213 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 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.529369006091 0.492168448580 5 1 2 6 0213 0132 1230 0321 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 -6 0 1 5 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.691913021816 0.264985564057 4 6 1 7 0213 1230 0132 1023 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 0 0 0 0 0 0 6 -5 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.212874586511 0.469114991731 7 4 5 2 1302 0321 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.420979867127 1.003288304967 3 6 8 5 0132 2031 1230 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 0 0 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.014896123383 1.061340746741 8 8 3 7 1302 2031 0132 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 -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 0.548049171323 0.818603235102 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_5']), 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_1001_1'], 'c_1001_8' : negation(d['c_0110_8']), 's_2_8' : 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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_0_8' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_8' : d['c_0101_2'], 'c_1100_5' : negation(d['c_0110_8']), 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_7' : d['c_0110_8'], 'c_1100_6' : negation(d['c_1001_4']), 'c_1100_1' : negation(d['c_0110_8']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_1001_4']), 'c_1010_7' : d['c_0011_6'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0110_8']), 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_1001_1'], 'c_1010_8' : d['c_0011_8'], 's_3_1' : negation(d['1']), 's_3_0' : 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_8' : 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' : negation(d['1']), 's_1_0' : d['1'], 's_1_8' : d['1'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_6'], '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_0101_7' : negation(d['c_0011_8']), 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0011_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0011_0'], 'c_0101_8' : negation(d['c_0011_8']), 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : negation(d['c_0011_8']), 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0011_3'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0011_6, c_0011_8, c_0101_2, c_0110_8, c_1001_1, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 501706237/89604291*c_1001_4^14 - 197360152/29868097*c_1001_4^13 - 21917593/12800613*c_1001_4^12 - 13582789/1690647*c_1001_4^11 + 31775552/1690647*c_1001_4^10 + 3041220431/89604291*c_1001_4^9 + 313405007/29868097*c_1001_4^8 + 569798539/29868097*c_1001_4^7 - 3366918019/89604291*c_1001_4^6 - 9287484191/89604291*c_1001_4^5 - 1337424033/29868097*c_1001_4^4 + 3489689705/89604291*c_1001_4^3 + 820463600/29868097*c_1001_4^2 - 206052745/89604291*c_1001_4 - 532348526/89604291, c_0011_0 - 1, c_0011_3 - 25721/137641*c_1001_4^14 + 38257/137641*c_1001_4^13 + 22853/19663*c_1001_4^12 + 808/2597*c_1001_4^11 + 4364/2597*c_1001_4^10 + 79411/137641*c_1001_4^9 - 716818/137641*c_1001_4^8 - 330518/137641*c_1001_4^7 - 591560/137641*c_1001_4^6 - 489798/137641*c_1001_4^5 + 1751543/137641*c_1001_4^4 + 1808340/137641*c_1001_4^3 + 112412/137641*c_1001_4^2 - 337866/137641*c_1001_4 - 8068/137641, c_0011_5 - 20639/137641*c_1001_4^14 - 119481/137641*c_1001_4^13 - 23823/19663*c_1001_4^12 - 2069/2597*c_1001_4^11 - 2188/2597*c_1001_4^10 + 348876/137641*c_1001_4^9 + 772796/137641*c_1001_4^8 + 452964/137641*c_1001_4^7 + 401047/137641*c_1001_4^6 - 717767/137641*c_1001_4^5 - 2206663/137641*c_1001_4^4 - 1223983/137641*c_1001_4^3 + 155070/137641*c_1001_4^2 + 298462/137641*c_1001_4 - 28928/137641, c_0011_6 - 94560/137641*c_1001_4^14 - 169472/137641*c_1001_4^13 - 11072/19663*c_1001_4^12 - 4154/2597*c_1001_4^11 + 3560/2597*c_1001_4^10 + 775478/137641*c_1001_4^9 + 315592/137641*c_1001_4^8 + 690108/137641*c_1001_4^7 - 171972/137641*c_1001_4^6 - 2127565/137641*c_1001_4^5 - 1215105/137641*c_1001_4^4 - 216568/137641*c_1001_4^3 - 50112/137641*c_1001_4^2 - 74434/137641*c_1001_4 - 77598/137641, c_0011_8 - 141864/137641*c_1001_4^14 - 348853/137641*c_1001_4^13 - 27670/19663*c_1001_4^12 - 4807/2597*c_1001_4^11 + 2823/2597*c_1001_4^10 + 1537979/137641*c_1001_4^9 + 1027805/137641*c_1001_4^8 + 659165/137641*c_1001_4^7 - 40990/137641*c_1001_4^6 - 3911708/137641*c_1001_4^5 - 3753608/137641*c_1001_4^4 + 306984/137641*c_1001_4^3 + 1220601/137641*c_1001_4^2 - 130744/137641*c_1001_4 - 195438/137641, c_0101_2 - 131556/137641*c_1001_4^14 - 234100/137641*c_1001_4^13 - 15324/19663*c_1001_4^12 - 6120/2597*c_1001_4^11 + 4821/2597*c_1001_4^10 + 1067106/137641*c_1001_4^9 + 405249/137641*c_1001_4^8 + 1041086/137641*c_1001_4^7 - 183430/137641*c_1001_4^6 - 2935944/137641*c_1001_4^5 - 1598368/137641*c_1001_4^4 - 464372/137641*c_1001_4^3 - 412493/137641*c_1001_4^2 - 119940/137641*c_1001_4 - 38194/137641, c_0110_8 - 2980/19663*c_1001_4^14 - 9666/19663*c_1001_4^13 - 867/2809*c_1001_4^12 - 30/371*c_1001_4^11 + 40/371*c_1001_4^10 + 43062/19663*c_1001_4^9 + 42551/19663*c_1001_4^8 - 3055/19663*c_1001_4^7 - 4671/19663*c_1001_4^6 - 104283/19663*c_1001_4^5 - 154562/19663*c_1001_4^4 + 36926/19663*c_1001_4^3 + 77472/19663*c_1001_4^2 + 11786/19663*c_1001_4 + 7411/19663, c_1001_1 - 94560/137641*c_1001_4^14 - 169472/137641*c_1001_4^13 - 11072/19663*c_1001_4^12 - 4154/2597*c_1001_4^11 + 3560/2597*c_1001_4^10 + 775478/137641*c_1001_4^9 + 315592/137641*c_1001_4^8 + 690108/137641*c_1001_4^7 - 171972/137641*c_1001_4^6 - 2127565/137641*c_1001_4^5 - 1215105/137641*c_1001_4^4 - 216568/137641*c_1001_4^3 - 50112/137641*c_1001_4^2 - 74434/137641*c_1001_4 - 77598/137641, c_1001_4^15 + 3*c_1001_4^14 + 3*c_1001_4^13 + 3*c_1001_4^12 - 11*c_1001_4^10 - 14*c_1001_4^9 - 11*c_1001_4^8 - 3*c_1001_4^7 + 27*c_1001_4^6 + 43*c_1001_4^5 + 19*c_1001_4^4 - 6*c_1001_4^3 - 6*c_1001_4^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB