Magma V2.19-8 Tue Aug 20 2013 16:16:54 on localhost [Seed = 357861832] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1162 geometric_solution 5.03913605 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 -1 1 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 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 0.432771643260 0.301706020003 0 3 2 4 0132 0132 1230 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.445045140079 1.084034153756 3 0 4 1 3201 0132 0132 3012 0 0 0 0 0 1 -1 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 -1 1 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 0.445045140079 1.084034153756 5 1 5 2 0132 0132 2310 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 1 0 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 0.372012431905 2.098066827900 4 4 1 2 1230 3012 0132 0132 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 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 0.900067848413 1.170636136552 3 3 6 6 0132 3201 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 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 0.263646274858 0.151407343597 5 6 5 6 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 -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 -1.752347111113 0.467376866271 ==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' : negation(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_2_6' : d['1'], 's_1_6' : 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' : d['1'], 's_0_6' : 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_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_0110_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_4'], '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0110_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 4371746649035616614113875/271679503140197914889*c_0110_2^15 + 16886461939311885359605725/271679503140197914889*c_0110_2^13 + 21112458773715043862117945/271679503140197914889*c_0110_2^11 + 5060627290030369196606901/271679503140197914889*c_0110_2^9 - 26604800621685547289632370/271679503140197914889*c_0110_2^7 + 1745764291345482282531854/271679503140197914889*c_0110_2^5 - 11748523438037521871442423/271679503140197914889*c_0110_2^3 + 3287175801864624039217896/271679503140197914889*c_0110_2, c_0011_0 - 1, c_0011_4 + 1415841777329611675/48281411611906507*c_0110_2^15 + 5497885313913598105/48281411611906507*c_0110_2^13 + 6952924170703237102/48281411611906507*c_0110_2^11 + 1795162362109682423/48281411611906507*c_0110_2^9 - 8544534895486651258/48281411611906507*c_0110_2^7 + 444329294914242626/48281411611906507*c_0110_2^5 - 3762161625456774313/48281411611906507*c_0110_2^3 + 997267875208653250/48281411611906507*c_0110_2, c_0011_6 + 111754363932440425/48281411611906507*c_0110_2^14 + 433449469747137555/48281411611906507*c_0110_2^12 + 534785065775580122/48281411611906507*c_0110_2^10 + 92663277877674016/48281411611906507*c_0110_2^8 - 738682500162984635/48281411611906507*c_0110_2^6 - 3600514394566790/48281411611906507*c_0110_2^4 - 278520448573258221/48281411611906507*c_0110_2^2 + 30897622951012135/48281411611906507, c_0101_0 - 34088538600122215600/15981147243541053817*c_0110_2^14 - 135328430568730277935/15981147243541053817*c_0110_2^12 - 179496849080209707119/15981147243541053817*c_0110_2^10 - 60720349279636493646/15981147243541053817*c_0110_2^8 + 193730543600953932170/15981147243541053817*c_0110_2^6 - 9439707315569717506/15981147243541053817*c_0110_2^4 + 72623569528588801279/15981147243541053817*c_0110_2^2 - 16301925705551185955/15981147243541053817, c_0101_1 + 7458030753592194500/15981147243541053817*c_0110_2^14 + 34018466458003643775/15981147243541053817*c_0110_2^12 + 60337602282120109125/15981147243541053817*c_0110_2^10 + 51336890418360765653/15981147243541053817*c_0110_2^8 - 12469755570266882810/15981147243541053817*c_0110_2^6 - 17492879067442619670/15981147243541053817*c_0110_2^4 - 39232276738532948565/15981147243541053817*c_0110_2^2 + 1659539176104944809/15981147243541053817, c_0101_3 - 623762123155585775/48281411611906507*c_0110_2^15 - 2363963831303815340/48281411611906507*c_0110_2^13 - 2834658047451229931/48281411611906507*c_0110_2^11 - 483832229982045052/48281411611906507*c_0110_2^9 + 3905657051482960713/48281411611906507*c_0110_2^7 - 440433941103246268/48281411611906507*c_0110_2^5 + 1752165033963257037/48281411611906507*c_0110_2^3 - 593209162738564817/48281411611906507*c_0110_2, c_0110_2^16 + 444/115*c_0110_2^14 + 2773/575*c_0110_2^12 + 661/575*c_0110_2^10 - 140/23*c_0110_2^8 + 236/575*c_0110_2^6 - 1546/575*c_0110_2^4 + 87/115*c_0110_2^2 - 1/575 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB