Magma V2.19-8 Tue Aug 20 2013 16:16:58 on localhost [Seed = 1444399746] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1223 geometric_solution 5.11852863 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 0 0 0 -1 0 1 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 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.087225094366 0.926108054122 3 4 2 0 0132 0132 1230 0132 0 0 0 0 0 0 0 0 0 0 1 -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 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 1.009802327823 0.920231118209 4 3 0 1 2310 3201 0132 3012 0 0 0 0 0 0 0 0 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 0 0 -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 1.009802327823 0.920231118209 1 5 2 5 0132 0132 2310 1023 0 0 0 0 0 0 0 0 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 0 0 0 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 0.865564046310 0.506859477160 4 1 2 4 3201 0132 3201 2310 0 0 0 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.087225094366 0.926108054122 6 3 6 3 0132 0132 1023 1023 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 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 0.719893214135 0.160256473174 5 6 5 6 0132 1302 1023 2031 0 0 0 0 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 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 0.639894028181 0.060292391629 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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_1_6' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_1'], 'c_1100_5' : negation(d['c_0011_1']), 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0101_4']), 'c_1100_0' : negation(d['c_0101_4']), 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0101_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_4']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0011_1']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0101_0, c_0101_1, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 336913116942990455625526177/24903303805186197279221271744*c_0101_6^\ 19 + 834972494357182301332433119/2075275317098849773268439312*c_010\ 1_6^17 + 20106620941901737489557857393/2075275317098849773268439312\ *c_0101_6^15 + 788735902328105197568798821231/249033038051861972792\ 21271744*c_0101_6^13 - 5177973247681461674049231072959/249033038051\ 86197279221271744*c_0101_6^11 - 21997918592603946339735218279609/24\ 903303805186197279221271744*c_0101_6^9 - 29269146299280869962962862114873/24903303805186197279221271744*c_01\ 01_6^7 - 3940243706258810403062768168083/62258259512965493198053179\ 36*c_0101_6^5 - 2984006117998343164883472760403/2490330380518619727\ 9221271744*c_0101_6^3 - 193805182477166255808619768463/249033038051\ 86197279221271744*c_0101_6, c_0011_0 - 1, c_0011_1 + 1124442169693421559415/236148761617984726134324*c_0101_6^19 - 5659061653235872782179/39358126936330787689054*c_0101_6^17 - 131566424003527052311203/39358126936330787689054*c_0101_6^15 - 1141190532895311883315649/118074380808992363067162*c_0101_6^13 + 9041906943471983791891579/118074380808992363067162*c_0101_6^11 + 32280183075637558725268189/118074380808992363067162*c_0101_6^9 + 18526677642938899895274247/59037190404496181533581*c_0101_6^7 + 35938146324947337575921851/236148761617984726134324*c_0101_6^5 + 2044507639620750919962386/59037190404496181533581*c_0101_6^3 + 269498255382381614292170/59037190404496181533581*c_0101_6, c_0101_0 - 1738740257078844244819/236148761617984726134324*c_0101_6^19 + 17627980478893960431765/78716253872661575378108*c_0101_6^17 + 402954516575597794416475/78716253872661575378108*c_0101_6^15 + 3272681170910034599109067/236148761617984726134324*c_0101_6^13 - 28514777899980544627099127/236148761617984726134324*c_0101_6^11 - 93243961445449233403168301/236148761617984726134324*c_0101_6^9 - 98392545652126211140734925/236148761617984726134324*c_0101_6^7 - 11134812107691849718735879/59037190404496181533581*c_0101_6^5 - 2584156330100430663864776/59037190404496181533581*c_0101_6^3 - 281656241682319403696945/59037190404496181533581*c_0101_6, c_0101_1 + 1505896633235155229623/236148761617984726134324*c_0101_6^19 - 15333717010091561187515/78716253872661575378108*c_0101_6^17 - 347016151879717606973897/78716253872661575378108*c_0101_6^15 - 2691933290985903256674829/236148761617984726134324*c_0101_6^13 + 25155976787347271522707397/236148761617984726134324*c_0101_6^11 + 77646053748304987048271099/236148761617984726134324*c_0101_6^9 + 72264307101417141065128495/236148761617984726134324*c_0101_6^7 + 11325573716392785720112079/118074380808992363067162*c_0101_6^5 + 439962686836326453780128/59037190404496181533581*c_0101_6^3 + 71641821787567808909708/59037190404496181533581*c_0101_6, c_0101_4 + 104797246974535794915/39358126936330787689054*c_0101_6^18 - 6460718476800436683681/78716253872661575378108*c_0101_6^16 - 35770560048455672625901/19679063468165393844527*c_0101_6^14 - 167805343503867856983207/39358126936330787689054*c_0101_6^12 + 1790283308322601477198693/39358126936330787689054*c_0101_6^10 + 4892887624322405082393711/39358126936330787689054*c_0101_6^8 + 3851857388945982255523957/39358126936330787689054*c_0101_6^6 + 916779073514744385304301/39358126936330787689054*c_0101_6^4 + 261330851415686772595455/78716253872661575378108*c_0101_6^2 + 25275520872382922490919/39358126936330787689054, c_0101_5 - 128241934268684224057/59037190404496181533581*c_0101_6^19 + 5268485927607059257991/78716253872661575378108*c_0101_6^17 + 58417512461197884664375/39358126936330787689054*c_0101_6^15 + 205592575951439987359594/59037190404496181533581*c_0101_6^13 - 2207449406566605688433891/59037190404496181533581*c_0101_6^11 - 6055708899982181291323457/59037190404496181533581*c_0101_6^9 - 4286435866839844173538846/59037190404496181533581*c_0101_6^7 - 10028374336233885629837/118074380808992363067162*c_0101_6^5 + 1902487292768961667299991/236148761617984726134324*c_0101_6^3 + 18471821063704020549125/118074380808992363067162*c_0101_6, c_0101_6^20 - 30*c_0101_6^18 - 708*c_0101_6^16 - 2167*c_0101_6^14 + 15701*c_0101_6^12 + 60611*c_0101_6^10 + 76735*c_0101_6^8 + 43954*c_0101_6^6 + 12731*c_0101_6^4 + 2129*c_0101_6^2 + 234 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB