Magma V2.19-8 Wed Aug 21 2013 00:30:48 on localhost [Seed = 2017355828] Type ? for help. Type -D to quit. Loading file "K14n17868__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n17868 geometric_solution 11.43705298 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1230 0132 0132 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 0 -1 -1 0 1 0 8 -7 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.433243376064 0.600965951717 0 4 0 5 0132 0132 3012 0132 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 0 0 0 0 1 0 -1 0 0 0 0 0 -8 1 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.210648514090 1.094935071551 6 7 8 0 0132 0132 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 0 0 0 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 0.595767249137 0.851023262562 7 9 0 5 2031 0132 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.524081347471 1.220705143094 10 1 8 11 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 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 0.514722834335 0.307071950165 6 11 1 3 2103 2103 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.191014578130 0.813450656928 2 10 5 12 0132 2103 2103 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 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 1.358547638882 1.549675176647 8 2 3 9 0213 0132 1302 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.994438560224 0.625969224479 7 4 12 2 0213 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 0 0 1 0 0 -1 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.708690878315 0.907753121920 10 3 11 7 3012 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.271700226927 0.501964161661 4 6 12 9 0132 2103 1302 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.068048078840 0.476661968810 12 5 4 9 1302 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.348073054631 1.372069752029 10 11 6 8 2031 2031 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 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 0.538611965121 0.464665009920 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_0']), 'c_1001_10' : negation(d['c_0011_2']), 'c_1001_12' : negation(d['c_0101_9']), 'c_1001_5' : d['c_0011_11'], 'c_1001_4' : d['c_0011_11'], 'c_1001_7' : d['c_0110_3'], 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0110_3'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : d['c_0011_11'], 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : d['c_1001_9'], 'c_1010_10' : d['c_0101_9'], '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'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_12']), 'c_0101_10' : negation(d['c_0011_12']), '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' : d['c_0011_11'], 'c_0011_10' : negation(d['c_0011_0']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0110_3']), 'c_1100_4' : d['c_1001_2'], 'c_1100_7' : d['c_0101_1'], 'c_1100_6' : negation(d['c_0110_5']), 'c_1100_1' : negation(d['c_0110_3']), 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : negation(d['c_0110_5']), 's_3_11' : d['1'], 'c_1100_9' : d['c_1001_2'], 'c_1100_11' : d['c_1001_2'], 'c_1100_10' : d['c_0101_12'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0101_9']), 'c_1010_5' : negation(d['c_1001_9']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_1001_9'], 'c_1010_2' : d['c_0110_3'], 'c_1010_1' : d['c_0011_11'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0101_1'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : negation(d['c_0110_5']), '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' : negation(d['c_0110_5']), '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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0110_11' : d['c_0101_9'], 'c_0110_10' : negation(d['c_0011_3']), 'c_0110_12' : negation(d['c_0011_2']), 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_2']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_12']), 'c_0110_7' : negation(d['c_0101_12']), 'c_0110_6' : d['c_0101_12']})} 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_11, c_0011_12, c_0011_2, c_0011_3, c_0101_0, c_0101_1, c_0101_12, c_0101_9, c_0110_3, c_0110_5, c_1001_2, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 1137817661195566322432326/693073229195950995733145*c_1001_9^14 - 18979255925070720320322389/693073229195950995733145*c_1001_9^13 - 128616356600583635216244858/693073229195950995733145*c_1001_9^12 - 88436941999306607459839732/138614645839190199146629*c_1001_9^11 - 787639692411474144687547657/693073229195950995733145*c_1001_9^10 - 131636266105989844270889966/138614645839190199146629*c_1001_9^9 - 311200913877210863031083328/693073229195950995733145*c_1001_9^8 - 20226717016454728371805287/30133618660693521553615*c_1001_9^7 - 4006715966458571670943423/30133618660693521553615*c_1001_9^6 + 701681565518271510005712332/693073229195950995733145*c_1001_9^5 - 802027920177692637589007919/693073229195950995733145*c_1001_9^4 - 2952276125246798804359507538/693073229195950995733145*c_1001_9^3 - 2662626477603238101460624156/693073229195950995733145*c_1001_9^2 - 1065817313470260944938654124/693073229195950995733145*c_1001_9 - 166895188158709222140990657/693073229195950995733145, c_0011_0 - 1, c_0011_11 - 2124505190516166097/13590537224351571340*c_1001_9^14 - 37072994268781226267/13590537224351571340*c_1001_9^13 - 133150380788181108173/6795268612175785670*c_1001_9^12 - 992391981099358256387/13590537224351571340*c_1001_9^11 - 1990196913960579267911/13590537224351571340*c_1001_9^10 - 399460221553312005407/2718107444870314268*c_1001_9^9 - 246248365353886565224/3397634306087892835*c_1001_9^8 - 515495994653185860727/6795268612175785670*c_1001_9^7 - 743957513310212262359/13590537224351571340*c_1001_9^6 + 777491241479885801631/6795268612175785670*c_1001_9^5 - 331315143636357240611/6795268612175785670*c_1001_9^4 - 7251262184423204766151/13590537224351571340*c_1001_9^3 - 7986296971508023278549/13590537224351571340*c_1001_9^2 - 3639596619379479250849/13590537224351571340*c_1001_9 - 641840450661769289811/13590537224351571340, c_0011_12 + 608853175888988259/5436214889740628536*c_1001_9^14 + 10685895235433746809/5436214889740628536*c_1001_9^13 + 38685620367690559643/2718107444870314268*c_1001_9^12 + 291884919962423852705/5436214889740628536*c_1001_9^11 + 598090952971851589641/5436214889740628536*c_1001_9^10 + 628198025444112892517/5436214889740628536*c_1001_9^9 + 84508869502796139057/1359053722435157134*c_1001_9^8 + 158857921531800334951/2718107444870314268*c_1001_9^7 + 233083254085307009541/5436214889740628536*c_1001_9^6 - 210420315093434276757/2718107444870314268*c_1001_9^5 + 73329815313418765575/2718107444870314268*c_1001_9^4 + 2080138419750796329425/5436214889740628536*c_1001_9^3 + 2509978790821952004255/5436214889740628536*c_1001_9^2 + 1279161082987044604787/5436214889740628536*c_1001_9 + 257338812935003315713/5436214889740628536, c_0011_2 - 608853175888988259/5436214889740628536*c_1001_9^14 - 10685895235433746809/5436214889740628536*c_1001_9^13 - 38685620367690559643/2718107444870314268*c_1001_9^12 - 291884919962423852705/5436214889740628536*c_1001_9^11 - 598090952971851589641/5436214889740628536*c_1001_9^10 - 628198025444112892517/5436214889740628536*c_1001_9^9 - 84508869502796139057/1359053722435157134*c_1001_9^8 - 158857921531800334951/2718107444870314268*c_1001_9^7 - 233083254085307009541/5436214889740628536*c_1001_9^6 + 210420315093434276757/2718107444870314268*c_1001_9^5 - 73329815313418765575/2718107444870314268*c_1001_9^4 - 2080138419750796329425/5436214889740628536*c_1001_9^3 - 2509978790821952004255/5436214889740628536*c_1001_9^2 - 1279161082987044604787/5436214889740628536*c_1001_9 - 257338812935003315713/5436214889740628536, c_0011_3 + 8541569984729261039/27181074448703142680*c_1001_9^14 + 149382580636882061389/27181074448703142680*c_1001_9^13 + 538347293503790223871/13590537224351571340*c_1001_9^12 + 4035244098455248466389/27181074448703142680*c_1001_9^11 + 8177537586670945038597/27181074448703142680*c_1001_9^10 + 1677663270915045222597/5436214889740628536*c_1001_9^9 + 1070969359329224650513/6795268612175785670*c_1001_9^8 + 2105400539506739069819/13590537224351571340*c_1001_9^7 + 3133470747889215630793/27181074448703142680*c_1001_9^6 - 3029426988456461829177/13590537224351571340*c_1001_9^5 + 1115163872788793663967/13590537224351571340*c_1001_9^4 + 29238716756764527336517/27181074448703142680*c_1001_9^3 + 33705510235979089846763/27181074448703142680*c_1001_9^2 + 15873672583284837656623/27181074448703142680*c_1001_9 + 2899960141136085370957/27181074448703142680, c_0101_0 + 11555330580753702763/27181074448703142680*c_1001_9^14 + 201956741563930587593/27181074448703142680*c_1001_9^13 + 727131102332885089147/13590537224351571340*c_1001_9^12 + 5442446785496632830193/27181074448703142680*c_1001_9^11 + 11002897072445741354089/27181074448703142680*c_1001_9^10 + 2247372304260564381089/5436214889740628536*c_1001_9^9 + 1426641638842299822711/6795268612175785670*c_1001_9^8 + 2836764575599436198103/13590537224351571340*c_1001_9^7 + 4181369115855447847981/27181074448703142680*c_1001_9^6 - 4110730921688628359729/13590537224351571340*c_1001_9^5 + 1579008345907915048459/13590537224351571340*c_1001_9^4 + 39465441349332080765129/27181074448703142680*c_1001_9^3 + 45126843104917518600671/27181074448703142680*c_1001_9^2 + 21125785186432741102051/27181074448703142680*c_1001_9 + 3838301388922374693649/27181074448703142680, c_0101_1 + 14242244484128599887/27181074448703142680*c_1001_9^14 + 248840825679100407597/27181074448703142680*c_1001_9^13 + 895647990281256655403/13590537224351571340*c_1001_9^12 + 6701957615593623575597/27181074448703142680*c_1001_9^11 + 13550055014961670675781/27181074448703142680*c_1001_9^10 + 2772189186030759975605/5436214889740628536*c_1001_9^9 + 1774597296523504251459/6795268612175785670*c_1001_9^8 + 3518691999587245067627/13590537224351571340*c_1001_9^7 + 5121648366419648125729/27181074448703142680*c_1001_9^6 - 5034522793563771815961/13590537224351571340*c_1001_9^5 + 1977845849282556548111/13590537224351571340*c_1001_9^4 + 48405250790747336295741/27181074448703142680*c_1001_9^3 + 55588204997958462541859/27181074448703142680*c_1001_9^2 + 26399043936126148809759/27181074448703142680*c_1001_9 + 4848241272040553381781/27181074448703142680, c_0101_12 + 8452339427901554317/13590537224351571340*c_1001_9^14 + 147571335979672539887/13590537224351571340*c_1001_9^13 + 530622310596065938833/6795268612175785670*c_1001_9^12 + 3964638270801296763787/13590537224351571340*c_1001_9^11 + 7995966030702756882411/13590537224351571340*c_1001_9^10 + 1628269177534620687207/2718107444870314268*c_1001_9^9 + 1035893017665288929274/3397634306087892835*c_1001_9^8 + 2080639596521415787397/6795268612175785670*c_1001_9^7 + 3000715367169466473539/13590537224351571340*c_1001_9^6 - 3004856786852246953831/6795268612175785670*c_1001_9^5 + 1221463968396902681161/6795268612175785670*c_1001_9^4 + 28671292105872120181591/13590537224351571340*c_1001_9^3 + 32608062789460200845689/13590537224351571340*c_1001_9^2 + 15393563885342616521389/13590537224351571340*c_1001_9 + 2840654843195732825471/13590537224351571340, c_0101_9 + 1101231866434595977/27181074448703142680*c_1001_9^14 + 18719189533258026547/27181074448703142680*c_1001_9^13 + 64905105031961145073/13590537224351571340*c_1001_9^12 + 459312940457107820667/27181074448703142680*c_1001_9^11 + 845608643761599336691/27181074448703142680*c_1001_9^10 + 142974184371235798411/5436214889740628536*c_1001_9^9 + 66280812023590773819/6795268612175785670*c_1001_9^8 + 219574117585655978757/13590537224351571340*c_1001_9^7 + 205737443016779495519/27181074448703142680*c_1001_9^6 - 416178325580760575231/13590537224351571340*c_1001_9^5 + 329710162997948616241/13590537224351571340*c_1001_9^4 + 3399217130397251264451/27181074448703142680*c_1001_9^3 + 2866249956996875095829/27181074448703142680*c_1001_9^2 + 891776420565389822049/27181074448703142680*c_1001_9 + 57805087207895086051/27181074448703142680, c_0110_3 + 1810593897132100773/5436214889740628536*c_1001_9^14 + 31656316932605644183/5436214889740628536*c_1001_9^13 + 114033335402629528409/2718107444870314268*c_1001_9^12 + 854140462300017265063/5436214889740628536*c_1001_9^11 + 1728833180332887937647/5436214889740628536*c_1001_9^10 + 1769505697932379480107/5436214889740628536*c_1001_9^9 + 225405027353236749347/1359053722435157134*c_1001_9^8 + 445721924697799582441/2718107444870314268*c_1001_9^7 + 659050860218764921635/5436214889740628536*c_1001_9^6 - 642993629403251862327/2718107444870314268*c_1001_9^5 + 242589450567803829869/2718107444870314268*c_1001_9^4 + 6188431027356926634303/5436214889740628536*c_1001_9^3 + 7109244447347437534353/5436214889740628536*c_1001_9^2 + 3337991648396384760893/5436214889740628536*c_1001_9 + 605971216580541904559/5436214889740628536, c_0110_5 + 8929583107195885687/27181074448703142680*c_1001_9^14 + 155953443898802588877/27181074448703142680*c_1001_9^13 + 561018299286988027463/13590537224351571340*c_1001_9^12 + 4194860925973725809237/27181074448703142680*c_1001_9^11 + 8472040475871538887141/27181074448703142680*c_1001_9^10 + 1730580314285746926597/5436214889740628536*c_1001_9^9 + 1107443061062993830729/6795268612175785670*c_1001_9^8 + 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