Magma V2.19-8 Wed Aug 21 2013 00:52:20 on localhost [Seed = 3263485795] Type ? for help. Type -D to quit. Loading file "L12a1404__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a1404 geometric_solution 11.84048661 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 1 1 0 1 0 1 0 -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 -5 -1 6 0 0 0 0 0 1 0 -1 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.122404443226 0.921138097049 0 0 5 4 0132 1302 0132 0132 1 1 1 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 -6 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.467622588823 0.436913020438 6 0 6 7 0132 0132 3012 0132 1 1 1 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 5 -5 0 0 0 0 0 0 -6 0 6 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.058241625110 1.043471420813 4 7 8 0 0132 2103 0132 0132 1 1 1 1 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 0 0 0 0 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.606699403860 0.460086081832 3 9 1 10 0132 0132 0132 0132 1 1 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 0 0 0 1 0 -1 0 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.708046678314 0.873099445931 11 8 10 1 0132 2031 2310 0132 1 1 0 1 0 1 -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 0 -6 6 0 0 0 0 0 -4 3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.050369895343 0.717635836040 2 2 9 12 0132 1230 1023 0132 1 1 0 1 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 -1 1 -1 0 0 1 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.476660738355 0.528141688100 11 3 2 9 3201 2103 0132 3120 1 1 1 1 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 -1 1 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.053323849466 0.955363330961 5 11 12 3 1302 0213 0213 0132 1 1 1 0 0 0 0 0 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 0 0 0 6 0 0 -6 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.789611650605 0.879693911644 7 4 6 12 3120 0132 1023 2103 1 1 1 1 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 1 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 1.058241625110 1.043471420813 10 5 4 10 3012 3201 0132 1230 1 1 1 1 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 1 -1 1 0 0 -1 1 -6 0 5 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.604301820070 1.293892681859 5 12 8 7 0132 1023 0213 2310 1 1 1 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 -1 0 1 0 0 0 0 0 0 0 0 4 -1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.142963133786 1.180518783329 11 8 6 9 1023 0213 0132 2103 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 0 0 0 0 0 0 0 0 0 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 -0.046678523289 1.056283376201 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : negation(d['c_0101_5']), 'c_1001_12' : d['c_0101_12'], 'c_1001_5' : negation(d['c_0101_10']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0011_3'], 'c_1001_6' : d['c_0101_9'], 'c_1001_1' : d['c_0011_8'], 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : d['c_0011_7'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0101_5']), 'c_1001_8' : d['c_0101_12'], 'c_1010_12' : negation(d['c_1001_4']), 'c_1010_11' : d['c_0110_12'], 'c_1010_10' : d['c_0101_10'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0011_8'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0110_12']), 'c_1100_8' : negation(d['c_1001_4']), 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : negation(d['c_0101_9']), 'c_1100_6' : d['c_0110_12'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0101_9']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_7'], 'c_1100_10' : d['c_0011_10'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0101_12'], 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : d['c_0011_7'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(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_0110_12'], 's_1_7' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_3'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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_0110_11' : d['c_0101_5'], 'c_0110_10' : d['c_0011_10'], 'c_0110_12' : d['c_0110_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0101_5']), 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0011_8'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_11'], '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' : negation(d['c_0110_12']), 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_8'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0011_8'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0110_12']), 'c_0110_6' : d['c_0101_12'], 's_2_9' : d['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_3, c_0011_7, c_0011_8, c_0101_0, c_0101_10, c_0101_12, c_0101_5, c_0101_9, c_0110_12, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 169394561557/124912128*c_1001_4^8 + 394511470341/41637376*c_1001_4^7 - 3892718929621/124912128*c_1001_4^6 + 1279957211597/20818688*c_1001_4^5 - 9885767118299/124912128*c_1001_4^4 + 8514747996875/124912128*c_1001_4^3 - 1185274728515/31228032*c_1001_4^2 + 524213795483/41637376*c_1001_4 - 240780784295/124912128, c_0011_0 - 1, c_0011_10 - 74230/22179*c_1001_4^8 + 474562/22179*c_1001_4^7 - 488586/7393*c_1001_4^6 + 2771246/22179*c_1001_4^5 - 1168811/7393*c_1001_4^4 + 1008834/7393*c_1001_4^3 - 553023/7393*c_1001_4^2 + 513700/22179*c_1001_4 - 47080/22179, c_0011_11 - 289172/22179*c_1001_4^8 + 1855918/22179*c_1001_4^7 - 5570926/22179*c_1001_4^6 + 9826676/22179*c_1001_4^5 - 10969508/22179*c_1001_4^4 + 7836359/22179*c_1001_4^3 - 3298316/22179*c_1001_4^2 + 754444/22179*c_1001_4 - 20381/7393, c_0011_3 - 4914/7393*c_1001_4^8 + 137303/22179*c_1001_4^7 - 545614/22179*c_1001_4^6 + 1263580/22179*c_1001_4^5 - 1857989/22179*c_1001_4^4 + 1771943/22179*c_1001_4^3 - 1064048/22179*c_1001_4^2 + 350987/22179*c_1001_4 - 40903/22179, c_0011_7 + c_1001_4, c_0011_8 + 217360/22179*c_1001_4^8 - 453890/7393*c_1001_4^7 + 4028572/22179*c_1001_4^6 - 2361542/7393*c_1001_4^5 + 8076140/22179*c_1001_4^4 - 6131093/22179*c_1001_4^3 + 2931329/22179*c_1001_4^2 - 272580/7393*c_1001_4 + 63800/22179, c_0101_0 - 1, c_0101_10 - 289172/22179*c_1001_4^8 + 1855918/22179*c_1001_4^7 - 5570926/22179*c_1001_4^6 + 9826676/22179*c_1001_4^5 - 10969508/22179*c_1001_4^4 + 7836359/22179*c_1001_4^3 - 3298316/22179*c_1001_4^2 + 732265/22179*c_1001_4 - 12988/7393, c_0101_12 + 1, c_0101_5 + 146042/22179*c_1001_4^8 - 968810/22179*c_1001_4^7 + 1002704/7393*c_1001_4^6 - 5513296/22179*c_1001_4^5 + 2133267/7393*c_1001_4^4 - 1577256/7393*c_1001_4^3 + 675352/7393*c_1001_4^2 - 406046/22179*c_1001_4 + 65/22179, c_0101_9 - 131300/22179*c_1001_4^8 + 277169/7393*c_1001_4^7 - 2462498/22179*c_1001_4^6 + 1416572/7393*c_1001_4^5 - 4541812/22179*c_1001_4^4 + 2959825/22179*c_1001_4^3 - 962008/22179*c_1001_4^2 + 18353/7393*c_1001_4 + 40838/22179, c_0110_12 - 4914/7393*c_1001_4^8 + 137303/22179*c_1001_4^7 - 545614/22179*c_1001_4^6 + 1263580/22179*c_1001_4^5 - 1857989/22179*c_1001_4^4 + 1771943/22179*c_1001_4^3 - 1064048/22179*c_1001_4^2 + 350987/22179*c_1001_4 - 40903/22179, c_1001_4^9 - 90/13*c_1001_4^8 + 294/13*c_1001_4^7 - 577/13*c_1001_4^6 + 57*c_1001_4^5 - 640/13*c_1001_4^4 + 361/13*c_1001_4^3 - 125/13*c_1001_4^2 + 22/13*c_1001_4 - 1/13 ], 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_3, c_0011_7, c_0011_8, c_0101_0, c_0101_10, c_0101_12, c_0101_5, c_0101_9, c_0110_12, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 5428672522266686552/10530477976475*c_1001_4^11 - 34820341493714436089/10530477976475*c_1001_4^10 + 102872759456914535124/10530477976475*c_1001_4^9 - 182302368676477873029/10530477976475*c_1001_4^8 + 216600864701939150471/10530477976475*c_1001_4^7 - 189548308844341164041/10530477976475*c_1001_4^6 + 133830030584410392771/10530477976475*c_1001_4^5 - 79411029964719692822/10530477976475*c_1001_4^4 + 7790736457028143753/2106095595295*c_1001_4^3 - 15015331816691175458/10530477976475*c_1001_4^2 + 843206724475814302/2106095595295*c_1001_4 - 604631872563950126/10530477976475, c_0011_0 - 1, c_0011_10 - 1579206573838/421219119059*c_1001_4^11 + 15992339451593/421219119059*c_1001_4^10 - 64183446606094/421219119059*c_1001_4^9 + 144117390726127/421219119059*c_1001_4^8 - 206286378510172/421219119059*c_1001_4^7 + 205818229174670/421219119059*c_1001_4^6 - 160125093013922/421219119059*c_1001_4^5 + 106134136990901/421219119059*c_1001_4^4 - 58574265970506/421219119059*c_1001_4^3 + 25971724869697/421219119059*c_1001_4^2 - 8672636570912/421219119059*c_1001_4 + 1814908931761/421219119059, c_0011_11 + 5632553855755/421219119059*c_1001_4^11 - 40195442770508/421219119059*c_1001_4^10 + 131312386912358/421219119059*c_1001_4^9 - 257809942392226/421219119059*c_1001_4^8 + 338768163190785/421219119059*c_1001_4^7 - 321808319419604/421219119059*c_1001_4^6 + 239423856364154/421219119059*c_1001_4^5 - 149298632312904/421219119059*c_1001_4^4 + 79398908588301/421219119059*c_1001_4^3 - 33732869285194/421219119059*c_1001_4^2 + 10642188323829/421219119059*c_1001_4 - 2267762130849/421219119059, c_0011_3 - 5818792790140/421219119059*c_1001_4^11 + 44350232814372/421219119059*c_1001_4^10 - 148832891629214/421219119059*c_1001_4^9 + 290501587076982/421219119059*c_1001_4^8 - 367564216522890/421219119059*c_1001_4^7 + 328991314230021/421219119059*c_1001_4^6 - 235025226656178/421219119059*c_1001_4^5 + 145652496000097/421219119059*c_1001_4^4 - 73641721504112/421219119059*c_1001_4^3 + 28385264545443/421219119059*c_1001_4^2 - 8278675378910/421219119059*c_1001_4 + 1586236461601/421219119059, c_0011_7 + 16240336396107/421219119059*c_1001_4^11 - 105402915520726/421219119059*c_1001_4^10 + 316473912618038/421219119059*c_1001_4^9 - 573216229621602/421219119059*c_1001_4^8 + 699897560373385/421219119059*c_1001_4^7 - 628594907323014/421219119059*c_1001_4^6 + 449198829823270/421219119059*c_1001_4^5 - 265774762130932/421219119059*c_1001_4^4 + 130834133954926/421219119059*c_1001_4^3 - 51706696856032/421219119059*c_1001_4^2 + 14600986932856/421219119059*c_1001_4 - 2089483484580/421219119059, c_0011_8 - 26089876857605/421219119059*c_1001_4^11 + 156243163269707/421219119059*c_1001_4^10 - 429542476600835/421219119059*c_1001_4^9 + 702986789048461/421219119059*c_1001_4^8 - 768329670900397/421219119059*c_1001_4^7 + 626703605587351/421219119059*c_1001_4^6 - 420647660201629/421219119059*c_1001_4^5 + 234428972859779/421219119059*c_1001_4^4 - 105531014124435/421219119059*c_1001_4^3 + 36059676779799/421219119059*c_1001_4^2 - 8111873836524/421219119059*c_1001_4 + 323605564764/421219119059, c_0101_0 - 1, c_0101_10 + 5632553855755/421219119059*c_1001_4^11 - 40195442770508/421219119059*c_1001_4^10 + 131312386912358/421219119059*c_1001_4^9 - 257809942392226/421219119059*c_1001_4^8 + 338768163190785/421219119059*c_1001_4^7 - 321808319419604/421219119059*c_1001_4^6 + 239423856364154/421219119059*c_1001_4^5 - 149298632312904/421219119059*c_1001_4^4 + 79398908588301/421219119059*c_1001_4^3 - 33732869285194/421219119059*c_1001_4^2 + 10220969204770/421219119059*c_1001_4 - 1846543011790/421219119059, c_0101_12 - 30023242911769/421219119059*c_1001_4^11 + 198326130069128/421219119059*c_1001_4^10 - 599483162830188/421219119059*c_1001_4^9 + 1083008456918662/421219119059*c_1001_4^8 - 1305998934493255/421219119059*c_1001_4^7 + 1153090932084460/421219119059*c_1001_4^6 - 819322486770431/421219119059*c_1001_4^5 + 490466973146249/421219119059*c_1001_4^4 - 242966094644299/421219119059*c_1001_4^3 + 95191019096375/421219119059*c_1001_4^2 - 27325892100788/421219119059*c_1001_4 + 3998480292604/421219119059, c_0101_5 + 490554934858/421219119059*c_1001_4^11 - 1394300436173/421219119059*c_1001_4^10 - 548839384864/421219119059*c_1001_4^9 + 9988491123750/421219119059*c_1001_4^8 - 23901215595916/421219119059*c_1001_4^7 + 31123402608996/421219119059*c_1001_4^6 - 26695591442326/421219119059*c_1001_4^5 + 16908528650264/421219119059*c_1001_4^4 - 9480822591746/421219119059*c_1001_4^3 + 4501071222791/421219119059*c_1001_4^2 - 1004496688292/421219119059*c_1001_4 + 40465623216/421219119059, c_0101_9 - 445114500830/421219119059*c_1001_4^11 + 4063874054390/421219119059*c_1001_4^10 - 14493396468459/421219119059*c_1001_4^9 + 26976605947374/421219119059*c_1001_4^8 - 28005558483597/421219119059*c_1001_4^7 + 16233890265146/421219119059*c_1001_4^6 - 7323792118712/421219119059*c_1001_4^5 + 5736953533892/421219119059*c_1001_4^4 - 2886803585443/421219119059*c_1001_4^3 + 466684847584/421219119059*c_1001_4^2 - 216375519461/421219119059*c_1001_4 + 226366399588/421219119059, c_0110_12 + 5419118723338/421219119059*c_1001_4^11 - 37616785141765/421219119059*c_1001_4^10 + 119297259307432/421219119059*c_1001_4^9 - 226559884058484/421219119059*c_1001_4^8 + 287651883959780/421219119059*c_1001_4^7 - 265400131090733/421219119059*c_1001_4^6 + 193682050976428/421219119059*c_1001_4^5 - 117270060282049/421219119059*c_1001_4^4 + 58387291741480/421219119059*c_1001_4^3 - 22950823627484/421219119059*c_1001_4^2 + 6841427651696/421219119059*c_1001_4 - 1093038039209/421219119059, c_1001_4^12 - 430/61*c_1001_4^11 + 1407/61*c_1001_4^10 - 2798/61*c_1001_4^9 + 3777/61*c_1001_4^8 - 3744/61*c_1001_4^7 + 2930/61*c_1001_4^6 - 1906/61*c_1001_4^5 + 1043/61*c_1001_4^4 - 468/61*c_1001_4^3 + 164/61*c_1001_4^2 - 40/61*c_1001_4 + 5/61 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.340 Total time: 0.560 seconds, Total memory usage: 32.09MB