Magma V2.19-8 Tue Aug 20 2013 23:55:28 on localhost [Seed = 2134447935] Type ? for help. Type -D to quit. Loading file "L14a21829__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14a21829 geometric_solution 11.44565190 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 3 0132 0132 0132 3120 1 0 1 1 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 -1 0 1 0 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.243772813364 0.885028437554 0 2 5 4 0132 3201 0132 0132 1 0 1 1 0 -1 0 1 0 0 -1 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 3 0 -3 1 0 3 -4 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.243772813364 0.885028437554 2 0 1 2 3012 0132 2310 1230 1 1 1 1 0 0 -1 1 -1 0 0 1 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 4 -3 3 0 0 -3 3 0 0 -3 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.175182163966 0.935311130799 0 5 6 0 3120 2103 0132 0132 1 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 0 0 0 0 0 0 0 0 1 -1 0 4 0 -4 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.558037454238 0.653082863124 5 7 1 8 0132 0132 0132 0132 1 0 1 1 0 0 -1 1 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 3 -3 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.355362131842 0.525114448576 4 3 7 1 0132 2103 0132 0132 1 0 1 1 0 1 -1 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 -4 4 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.116074908476 1.306165726249 9 8 9 3 0132 3120 3120 0132 1 0 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 1 -1 0 -1 0 1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.710724263683 1.050228897152 8 4 10 5 0132 0132 0132 0132 1 0 1 1 0 0 -1 1 -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 4 -4 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.355362131842 0.525114448576 7 6 4 10 0132 3120 0132 0132 1 0 1 1 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 -3 3 0 -3 0 4 -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 1.116074908476 1.306165726249 6 11 6 10 0132 0132 3120 3120 1 0 1 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 -4 3 1 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 0.710724263683 1.050228897152 9 11 8 7 3120 0321 0132 0132 1 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 0 0 0 4 0 -4 -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 0.243772813364 0.885028437554 11 9 11 10 2310 0132 3201 0321 1 1 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 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.530384667048 0.601435445528 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_0011_3'], 'c_1001_7' : negation(d['c_1001_6']), 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : negation(d['c_1001_6']), 'c_1001_8' : negation(d['c_1001_6']), 'c_1010_11' : negation(d['c_1001_6']), 'c_1010_10' : negation(d['c_1001_6']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : d['c_0101_10'], '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_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' : d['c_0011_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0101_3']), 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : negation(d['c_0011_0']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : d['c_1100_1'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_1001_6']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_0011_11']), 'c_1100_8' : d['c_1100_1'], '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'], '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_11']), 'c_0011_8' : d['c_0011_4'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : d['c_0011_11'], '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' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0101_10'], 'c_0110_0' : d['c_0101_0'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_3'], 'c_0101_8' : d['c_0101_5'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_5'], 'c_0110_6' : d['c_0101_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_0101_5, c_1001_6, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 459263/29600*c_1100_1^6 - 99241/29600*c_1100_1^5 + 610317/29600*c_1100_1^4 - 98543/925*c_1100_1^3 + 1986181/29600*c_1100_1^2 - 2448703/29600*c_1100_1 + 369551/3700, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 9/74*c_1100_1^6 - 15/74*c_1100_1^5 - 1/74*c_1100_1^4 - 15/37*c_1100_1^3 - 29/74*c_1100_1^2 - 71/74*c_1100_1 + 10/37, c_0011_3 - 9/74*c_1100_1^6 - 15/74*c_1100_1^5 - 1/74*c_1100_1^4 - 15/37*c_1100_1^3 - 29/74*c_1100_1^2 + 3/74*c_1100_1 + 10/37, c_0011_4 + c_1100_1^2, c_0101_0 - 1, c_0101_10 - 1, c_0101_2 + 9/74*c_1100_1^6 + 15/74*c_1100_1^5 + 1/74*c_1100_1^4 + 15/37*c_1100_1^3 + 29/74*c_1100_1^2 + 71/74*c_1100_1 - 10/37, c_0101_3 + c_1100_1, c_0101_5 + 5/37*c_1100_1^6 - 4/37*c_1100_1^5 - 20/37*c_1100_1^4 + 29/37*c_1100_1^3 - 25/37*c_1100_1^2 - 14/37*c_1100_1 - 7/37, c_1001_6 - 9/74*c_1100_1^6 - 15/74*c_1100_1^5 - 1/74*c_1100_1^4 - 15/37*c_1100_1^3 - 29/74*c_1100_1^2 + 3/74*c_1100_1 + 10/37, c_1100_1^7 + c_1100_1^6 - c_1100_1^5 + 6*c_1100_1^4 + c_1100_1^3 + 3*c_1100_1^2 - 2*c_1100_1 - 4 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_0101_5, c_1001_6, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 15805653582436649406130/197607488705587213*c_1100_1^19 - 88886323756919688308293/197607488705587213*c_1100_1^18 - 171290734627759732249846/197607488705587213*c_1100_1^17 - 247621489276205552416803/197607488705587213*c_1100_1^16 - 579047151423282186426286/197607488705587213*c_1100_1^15 - 878022599581050634945481/197607488705587213*c_1100_1^14 - 908603107183958474389813/197607488705587213*c_1100_1^13 - 100591366444481502963724/17964317155053383*c_1100_1^12 - 1095573196154873007038782/197607488705587213*c_1100_1^11 - 1533112272147860394071888/197607488705587213*c_1100_1^10 - 2176246058328945622398497/197607488705587213*c_1100_1^9 - 2024371857617365203327119/197607488705587213*c_1100_1^8 - 118107396062961488633034/10400394142399327*c_1100_1^7 - 1413586385119650814491410/197607488705587213*c_1100_1^6 - 1446012630348990661702341/197607488705587213*c_1100_1^5 - 920573491678085208345147/197607488705587213*c_1100_1^4 - 73741053159976399262638/17964317155053383*c_1100_1^3 - 403254045095088656555208/197607488705587213*c_1100_1^2 - 194846115490192204273870/197607488705587213*c_1100_1 - 23327062372493671611254/197607488705587213, c_0011_0 - 1, c_0011_10 - 2968808199725/2803857835969*c_1100_1^19 - 16265034284992/2803857835969*c_1100_1^18 - 28435641513376/2803857835969*c_1100_1^17 - 35656226134985/2803857835969*c_1100_1^16 - 94599865878863/2803857835969*c_1100_1^15 - 140927278194258/2803857835969*c_1100_1^14 - 113647738205185/2803857835969*c_1100_1^13 - 149633757032774/2803857835969*c_1100_1^12 - 162299098608470/2803857835969*c_1100_1^11 - 213967913505563/2803857835969*c_1100_1^10 - 337419767664930/2803857835969*c_1100_1^9 - 267794528800225/2803857835969*c_1100_1^8 - 14203481888213/147571465051*c_1100_1^7 - 177849337626158/2803857835969*c_1100_1^6 - 166690627987422/2803857835969*c_1100_1^5 - 119776096153758/2803857835969*c_1100_1^4 - 90610248668196/2803857835969*c_1100_1^3 - 38599603348889/2803857835969*c_1100_1^2 - 10290279034367/2803857835969*c_1100_1 - 1280955574225/2803857835969, c_0011_11 + 1873566628503/2803857835969*c_1100_1^19 + 10276545468928/2803857835969*c_1100_1^18 + 17514567700011/2803857835969*c_1100_1^17 + 20155028108992/2803857835969*c_1100_1^16 + 56513602187193/2803857835969*c_1100_1^15 + 85808580974507/2803857835969*c_1100_1^14 + 59220062053950/2803857835969*c_1100_1^13 + 78827858528047/2803857835969*c_1100_1^12 + 95531589724112/2803857835969*c_1100_1^11 + 118667270901772/2803857835969*c_1100_1^10 + 196167597997494/2803857835969*c_1100_1^9 + 145137731723734/2803857835969*c_1100_1^8 + 6938479798605/147571465051*c_1100_1^7 + 94919977571734/2803857835969*c_1100_1^6 + 77261587934206/2803857835969*c_1100_1^5 + 63919570062875/2803857835969*c_1100_1^4 + 38429928441175/2803857835969*c_1100_1^3 + 13948609926290/2803857835969*c_1100_1^2 - 36442528117/2803857835969*c_1100_1 - 948697638180/2803857835969, c_0011_3 - 405926004962/2803857835969*c_1100_1^19 - 1640068402884/2803857835969*c_1100_1^18 - 825615878799/2803857835969*c_1100_1^17 - 81904478186/2803857835969*c_1100_1^16 - 7405040754784/2803857835969*c_1100_1^15 - 2154292411924/2803857835969*c_1100_1^14 + 8461493808783/2803857835969*c_1100_1^13 - 4816708619839/2803857835969*c_1100_1^12 + 3016007675939/2803857835969*c_1100_1^11 - 186465303672/2803857835969*c_1100_1^10 - 9679568500211/2803857835969*c_1100_1^9 + 21637437721966/2803857835969*c_1100_1^8 + 133683405039/147571465051*c_1100_1^7 + 18250448581076/2803857835969*c_1100_1^6 + 8097919622614/2803857835969*c_1100_1^5 + 13931322635627/2803857835969*c_1100_1^4 + 9820808557520/2803857835969*c_1100_1^3 + 9535170883031/2803857835969*c_1100_1^2 + 5474772983345/2803857835969*c_1100_1 + 2445309771790/2803857835969, c_0011_4 + c_1100_1^2, c_0101_0 - 1, c_0101_10 - 1022628082343/2803857835969*c_1100_1^19 - 5365333520902/2803857835969*c_1100_1^18 - 8642840129010/2803857835969*c_1100_1^17 - 11138953413174/2803857835969*c_1100_1^16 - 32769229855425/2803857835969*c_1100_1^15 - 45017388018999/2803857835969*c_1100_1^14 - 34713427044885/2803857835969*c_1100_1^13 - 57200804647876/2803857835969*c_1100_1^12 - 59758734473857/2803857835969*c_1100_1^11 - 72329684380948/2803857835969*c_1100_1^10 - 114359961094995/2803857835969*c_1100_1^9 - 84375198973260/2803857835969*c_1100_1^8 - 5510065996484/147571465051*c_1100_1^7 - 77161928642757/2803857835969*c_1100_1^6 - 65275245479775/2803857835969*c_1100_1^5 - 49877000484277/2803857835969*c_1100_1^4 - 33749327670495/2803857835969*c_1100_1^3 - 20677947417330/2803857835969*c_1100_1^2 - 9506748138080/2803857835969*c_1100_1 - 2623658265999/2803857835969, c_0101_2 + 405926004962/2803857835969*c_1100_1^19 + 1640068402884/2803857835969*c_1100_1^18 + 825615878799/2803857835969*c_1100_1^17 + 81904478186/2803857835969*c_1100_1^16 + 7405040754784/2803857835969*c_1100_1^15 + 2154292411924/2803857835969*c_1100_1^14 - 8461493808783/2803857835969*c_1100_1^13 + 4816708619839/2803857835969*c_1100_1^12 - 3016007675939/2803857835969*c_1100_1^11 + 186465303672/2803857835969*c_1100_1^10 + 9679568500211/2803857835969*c_1100_1^9 - 21637437721966/2803857835969*c_1100_1^8 - 133683405039/147571465051*c_1100_1^7 - 18250448581076/2803857835969*c_1100_1^6 - 8097919622614/2803857835969*c_1100_1^5 - 13931322635627/2803857835969*c_1100_1^4 - 9820808557520/2803857835969*c_1100_1^3 - 9535170883031/2803857835969*c_1100_1^2 - 2670915147376/2803857835969*c_1100_1 - 2445309771790/2803857835969, c_0101_3 + c_1100_1, c_0101_5 - 473984051267/2803857835969*c_1100_1^19 - 2146698657217/2803857835969*c_1100_1^18 - 2176640541876/2803857835969*c_1100_1^17 - 2104337437814/2803857835969*c_1100_1^16 - 11511968258999/2803857835969*c_1100_1^15 - 10636899901292/2803857835969*c_1100_1^14 - 1361255081332/2803857835969*c_1100_1^13 - 15799180048731/2803857835969*c_1100_1^12 - 12898104711715/2803857835969*c_1100_1^11 - 17695847053861/2803857835969*c_1100_1^10 - 32059580955875/2803857835969*c_1100_1^9 - 4513404113697/2803857835969*c_1100_1^8 - 1151029200456/147571465051*c_1100_1^7 - 9965566262287/2803857835969*c_1100_1^6 - 17610517870325/2803857835969*c_1100_1^5 - 8438256785463/2803857835969*c_1100_1^4 - 3638913918973/2803857835969*c_1100_1^3 - 1412085863645/2803857835969*c_1100_1^2 - 2928162259239/2803857835969*c_1100_1 - 2414296214043/2803857835969, c_1001_6 + 1103131655347/2803857835969*c_1100_1^19 + 5625220527479/2803857835969*c_1100_1^18 + 8200959466325/2803857835969*c_1100_1^17 + 8951250423668/2803857835969*c_1100_1^16 + 29947024442182/2803857835969*c_1100_1^15 + 38711761431952/2803857835969*c_1100_1^14 + 20293826961584/2803857835969*c_1100_1^13 + 38369040932290/2803857835969*c_1100_1^12 + 39010135729842/2803857835969*c_1100_1^11 + 52022061422056/2803857835969*c_1100_1^10 + 92379229819642/2803857835969*c_1100_1^9 + 49393881517702/2803857835969*c_1100_1^8 + 3033899401552/147571465051*c_1100_1^7 + 26230944264576/2803857835969*c_1100_1^6 + 28966292513555/2803857835969*c_1100_1^5 + 18926535392959/2803857835969*c_1100_1^4 + 11044355988384/2803857835969*c_1100_1^3 - 1087715911862/2803857835969*c_1100_1^2 - 4571180838519/2803857835969*c_1100_1 - 1971325720523/2803857835969, c_1100_1^20 + 6*c_1100_1^19 + 13*c_1100_1^18 + 20*c_1100_1^17 + 43*c_1100_1^16 + 70*c_1100_1^15 + 80*c_1100_1^14 + 94*c_1100_1^13 + 98*c_1100_1^12 + 126*c_1100_1^11 + 177*c_1100_1^10 + 184*c_1100_1^9 + 196*c_1100_1^8 + 148*c_1100_1^7 + 131*c_1100_1^6 + 96*c_1100_1^5 + 77*c_1100_1^4 + 47*c_1100_1^3 + 24*c_1100_1^2 + 7*c_1100_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.320 seconds, Total memory usage: 32.09MB