Magma V2.19-8 Wed Aug 21 2013 00:56:41 on localhost [Seed = 1208898189] Type ? for help. Type -D to quit. Loading file "L13n2789__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2789 geometric_solution 11.85742047 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 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 1 0 -1 -1 0 1 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.089257642270 0.402745183240 0 4 6 5 0132 2310 0132 0132 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 0 0 0 0 0 -1 1 0 1 0 0 -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 0.703476580358 1.294856339166 3 0 8 7 2310 0132 0132 0132 1 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 0 0 0 0 -1 1 0 -2 0 0 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.241320855733 1.079470103667 9 10 2 0 0132 0132 3201 0132 1 0 0 1 0 0 0 0 1 0 -1 0 -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 0 0 0 2 0 -1 -1 -1 0 0 1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.703476580358 1.294856339166 8 7 0 1 1302 0321 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.241320855733 1.079470103667 11 10 1 12 0132 1023 0132 0132 1 0 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 0 0 0 0 0 0 0 1 0 1 -2 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.022228943094 0.996877740925 8 10 9 1 0321 1302 0132 0132 1 0 1 1 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 1 -1 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 0.624768281071 0.982802764232 8 10 2 4 2103 0213 0132 0321 1 1 1 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 1 0 -2 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 0.989392990449 0.902110415837 6 4 7 2 0321 2031 2103 0132 1 1 1 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 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 0.448099483080 0.503212787664 3 11 12 6 0132 0132 0132 0132 1 0 1 0 0 0 0 0 -1 0 1 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 1 0 -1 -2 0 2 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 0.022228943094 0.996877740925 5 3 7 6 1023 0132 0213 2031 1 1 1 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 -1 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.624768281071 0.982802764232 5 9 12 12 0132 0132 0213 3120 1 0 0 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 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 0.261379194553 0.524555874263 11 11 5 9 3120 0213 0132 0132 1 0 0 1 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 0 0 2 -2 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.261379194553 0.524555874263 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_10'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_0110_10'], 'c_1001_5' : d['c_0011_7'], 'c_1001_4' : d['c_0011_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0110_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_0011_4'], 'c_1001_9' : negation(d['c_0011_12']), 'c_1001_8' : d['c_0011_7'], 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : d['c_0011_6'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_12'], 'c_0101_10' : d['c_0011_7'], '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_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' : 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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : negation(d['c_0011_10']), 'c_1100_8' : d['c_0011_4'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_0011_0'], 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_4'], 's_0_10' : d['1'], 'c_1100_9' : d['c_1100_1'], 'c_1100_11' : negation(d['c_0011_12']), 'c_1100_10' : negation(d['c_1001_1']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_1001_1']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0110_10'], 'c_1010_4' : negation(d['c_1001_1']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_7'], 'c_1010_0' : d['c_0011_4'], 'c_1010_9' : d['c_0110_10'], 'c_1010_8' : d['c_0011_4'], 's_3_1' : 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_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_1'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0011_12'], 'c_0101_7' : negation(d['c_0101_3']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_8']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : negation(d['c_0011_8']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_3']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_8']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0011_12'], 'c_0110_4' : negation(d['c_0011_7']), 'c_0110_7' : negation(d['c_0011_4']), 'c_0110_6' : negation(d['c_0011_8'])})} 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_12, c_0011_4, c_0011_6, c_0011_7, c_0011_8, c_0101_0, c_0101_3, c_0110_10, c_1001_0, c_1001_1, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 17666144244957349035728/17468886371893263*c_1100_1^14 + 31565606868083052311432/17468886371893263*c_1100_1^13 - 43846332089285082096700/17468886371893263*c_1100_1^12 + 101439817572677631125456/17468886371893263*c_1100_1^11 - 292315279001118044569766/17468886371893263*c_1100_1^10 + 22546948830265917884780/1940987374654807*c_1100_1^9 - 187329700185936833638165/17468886371893263*c_1100_1^8 + 122964245594185945586051/17468886371893263*c_1100_1^7 - 8727253363480817463397/5822962123964421*c_1100_1^6 + 8695298570328991305395/17468886371893263*c_1100_1^5 - 61362819246197435697209/17468886371893263*c_1100_1^4 + 45703118967784145012440/17468886371893263*c_1100_1^3 - 30726473702098821386075/17468886371893263*c_1100_1^2 + 2720663577868709134426/17468886371893263*c_1100_1 - 528245472816685104970/5822962123964421, c_0011_0 - 1, c_0011_10 - c_1100_1, c_0011_12 + 157411930320224/60445973605167*c_1100_1^14 - 401077734947840/60445973605167*c_1100_1^13 + 589717490849248/60445973605167*c_1100_1^12 - 1165459999427012/60445973605167*c_1100_1^11 + 3253178140408616/60445973605167*c_1100_1^10 - 1231793460673570/20148657868389*c_1100_1^9 + 2758752279154288/60445973605167*c_1100_1^8 - 2098979966493107/60445973605167*c_1100_1^7 + 323913481323662/20148657868389*c_1100_1^6 - 29842779514436/60445973605167*c_1100_1^5 + 546888987159455/60445973605167*c_1100_1^4 - 817651308515419/60445973605167*c_1100_1^3 + 508706500096568/60445973605167*c_1100_1^2 - 159585783017011/60445973605167*c_1100_1 + 8067547427135/20148657868389, c_0011_4 + 56782646963936/60445973605167*c_1100_1^14 - 33124272064448/20148657868389*c_1100_1^13 + 134328453658256/60445973605167*c_1100_1^12 - 329237804248780/60445973605167*c_1100_1^11 + 312716071162748/20148657868389*c_1100_1^10 - 625096979324806/60445973605167*c_1100_1^9 + 592718224229194/60445973605167*c_1100_1^8 - 527231320704739/60445973605167*c_1100_1^7 + 94652699658799/60445973605167*c_1100_1^6 - 95872972746413/60445973605167*c_1100_1^5 + 68190384761108/20148657868389*c_1100_1^4 - 115796839676903/60445973605167*c_1100_1^3 + 91622684219089/60445973605167*c_1100_1^2 - 48374851513898/60445973605167*c_1100_1 - 11514173466097/60445973605167, c_0011_6 - 88461303827344/60445973605167*c_1100_1^14 + 255346647525496/60445973605167*c_1100_1^13 - 415167956496100/60445973605167*c_1100_1^12 + 774716556150916/60445973605167*c_1100_1^11 - 2048474600744234/60445973605167*c_1100_1^10 + 2717860057076830/60445973605167*c_1100_1^9 - 259759794230023/6716219289463*c_1100_1^8 + 555765979978466/20148657868389*c_1100_1^7 - 860683738396793/60445973605167*c_1100_1^6 + 254686411267462/60445973605167*c_1100_1^5 - 294178663717855/60445973605167*c_1100_1^4 + 630423481635991/60445973605167*c_1100_1^3 - 490258773778693/60445973605167*c_1100_1^2 + 16716136622927/6716219289463*c_1100_1 - 20356214228665/60445973605167, c_0011_7 - 247740573528784/60445973605167*c_1100_1^14 + 189155442363800/20148657868389*c_1100_1^13 - 837071013012428/60445973605167*c_1100_1^12 + 1725202570048232/60445973605167*c_1100_1^11 - 4804152103801346/60445973605167*c_1100_1^10 + 4896886700317936/60445973605167*c_1100_1^9 - 4019529515794495/60445973605167*c_1100_1^8 + 985227621523487/20148657868389*c_1100_1^7 - 132040106208674/6716219289463*c_1100_1^6 + 305878215877855/60445973605167*c_1100_1^5 - 299185624814843/20148657868389*c_1100_1^4 + 1135667604395639/60445973605167*c_1100_1^3 - 756491236049180/60445973605167*c_1100_1^2 + 29768093090621/6716219289463*c_1100_1 - 12696461698009/20148657868389, c_0011_8 - 207158967088736/60445973605167*c_1100_1^14 + 443291789652128/60445973605167*c_1100_1^13 - 601490057664752/60445973605167*c_1100_1^12 + 1280973998261420/60445973605167*c_1100_1^11 - 3737631053524720/60445973605167*c_1100_1^10 + 3338945358081998/60445973605167*c_1100_1^9 - 762354660597368/20148657868389*c_1100_1^8 + 537848036837797/20148657868389*c_1100_1^7 - 506765524722724/60445973605167*c_1100_1^6 - 91184437265383/60445973605167*c_1100_1^5 - 766797109274648/60445973605167*c_1100_1^4 + 824908221984881/60445973605167*c_1100_1^3 - 344508074907836/60445973605167*c_1100_1^2 + 7260383630915/20148657868389*c_1100_1 + 34792197313207/60445973605167, c_0101_0 - 1, c_0101_3 + 247740573528784/60445973605167*c_1100_1^14 - 189155442363800/20148657868389*c_1100_1^13 + 837071013012428/60445973605167*c_1100_1^12 - 1725202570048232/60445973605167*c_1100_1^11 + 4804152103801346/60445973605167*c_1100_1^10 - 4896886700317936/60445973605167*c_1100_1^9 + 4019529515794495/60445973605167*c_1100_1^8 - 985227621523487/20148657868389*c_1100_1^7 + 132040106208674/6716219289463*c_1100_1^6 - 305878215877855/60445973605167*c_1100_1^5 + 299185624814843/20148657868389*c_1100_1^4 - 1135667604395639/60445973605167*c_1100_1^3 + 756491236049180/60445973605167*c_1100_1^2 - 29768093090621/6716219289463*c_1100_1 + 12696461698009/20148657868389, c_0110_10 + 112210253498512/60445973605167*c_1100_1^14 - 229967678427976/60445973605167*c_1100_1^13 + 298785976832012/60445973605167*c_1100_1^12 - 666282866166880/60445973605167*c_1100_1^11 + 1955654766031354/60445973605167*c_1100_1^10 - 178014725051200/6716219289463*c_1100_1^9 + 1024436060791883/60445973605167*c_1100_1^8 - 820629894762625/60445973605167*c_1100_1^7 + 22488630311450/20148657868389*c_1100_1^6 + 99747266315762/60445973605167*c_1100_1^5 + 388743464100583/60445973605167*c_1100_1^4 - 383387437232906/60445973605167*c_1100_1^3 + 113042675683141/60445973605167*c_1100_1^2 - 7822273148927/60445973605167*c_1100_1 - 4477271228171/20148657868389, c_1001_0 - 207158967088736/60445973605167*c_1100_1^14 + 443291789652128/60445973605167*c_1100_1^13 - 601490057664752/60445973605167*c_1100_1^12 + 1280973998261420/60445973605167*c_1100_1^11 - 3737631053524720/60445973605167*c_1100_1^10 + 3338945358081998/60445973605167*c_1100_1^9 - 762354660597368/20148657868389*c_1100_1^8 + 537848036837797/20148657868389*c_1100_1^7 - 506765524722724/60445973605167*c_1100_1^6 - 91184437265383/60445973605167*c_1100_1^5 - 766797109274648/60445973605167*c_1100_1^4 + 824908221984881/60445973605167*c_1100_1^3 - 344508074907836/60445973605167*c_1100_1^2 + 7260383630915/20148657868389*c_1100_1 + 34792197313207/60445973605167, c_1001_1 - 88461303827344/60445973605167*c_1100_1^14 + 255346647525496/60445973605167*c_1100_1^13 - 415167956496100/60445973605167*c_1100_1^12 + 774716556150916/60445973605167*c_1100_1^11 - 2048474600744234/60445973605167*c_1100_1^10 + 2717860057076830/60445973605167*c_1100_1^9 - 259759794230023/6716219289463*c_1100_1^8 + 555765979978466/20148657868389*c_1100_1^7 - 860683738396793/60445973605167*c_1100_1^6 + 254686411267462/60445973605167*c_1100_1^5 - 294178663717855/60445973605167*c_1100_1^4 + 630423481635991/60445973605167*c_1100_1^3 - 490258773778693/60445973605167*c_1100_1^2 + 16716136622927/6716219289463*c_1100_1 - 20356214228665/60445973605167, c_1100_1^15 - 5/2*c_1100_1^14 + 15/4*c_1100_1^13 - 15/2*c_1100_1^12 + 165/8*c_1100_1^11 - 93/4*c_1100_1^10 + 299/16*c_1100_1^9 - 231/16*c_1100_1^8 + 51/8*c_1100_1^7 - 3/2*c_1100_1^6 + 61/16*c_1100_1^5 - 81/16*c_1100_1^4 + 57/16*c_1100_1^3 - 11/8*c_1100_1^2 + 3/16*c_1100_1 - 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.170 Total time: 0.380 seconds, Total memory usage: 32.09MB