Magma V2.19-8 Tue Aug 20 2013 23:56:07 on localhost [Seed = 4256929246] Type ? for help. Type -D to quit. Loading file "L14n14358__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n14358 geometric_solution 11.36989281 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 1 3 0132 0132 3012 0132 0 0 0 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 0 1 -1 -1 0 0 1 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.367512706216 0.826623593427 0 0 5 4 0132 1230 0132 0132 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 0 0 0 0 1 0 0 -1 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583827198863 0.763027718988 6 0 7 6 0132 0132 0132 2031 0 0 1 0 0 1 -1 0 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 1 -1 -14 1 0 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.249921307374 1.205113835081 4 7 0 8 3201 1023 0132 0132 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 -1 1 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 0.401712465622 1.431288469040 9 9 1 3 0132 1302 0132 2310 0 0 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 0 0 0 0 0 0 0 0 0 1 -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 0.417131535434 0.824907613403 9 8 7 1 2310 1302 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.530867122525 1.183975332568 2 2 9 10 0132 1302 3012 0132 0 0 0 1 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 0 0 1 -1 0 0 0 0 0 0 0 0 0 14 -13 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.835009305213 0.795580701130 3 5 10 2 1023 3201 3012 0132 0 0 0 0 0 -1 0 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 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 -0.141947057924 0.566220840565 11 11 3 5 0132 2310 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.087008847822 1.043185118821 4 6 5 4 0132 1230 3201 2031 0 0 1 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 0 0 0 0 0 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.571323044150 0.808567897360 11 7 6 11 1230 1230 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447295329488 0.421592180908 8 10 10 8 0132 3012 1230 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.036811135081 0.918333563618 ==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' : d['c_1001_10'], 'c_1001_5' : d['c_0101_11'], 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0101_11']), 'c_1001_2' : negation(d['c_0101_11']), 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_0101_10'], 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : negation(d['c_0101_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : negation(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_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : negation(d['c_1001_10']), 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_1001_10']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_0011_10'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_11']), 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0101_10'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : negation(d['c_0101_11']), 'c_1010_9' : d['c_0011_4'], 'c_1010_8' : d['c_0011_5'], 'c_1100_8' : negation(d['c_1001_1']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(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' : 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' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_3'], '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' : negation(d['c_0011_5']), 'c_0110_10' : d['c_0011_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_11']), 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_1']), 'c_0101_8' : negation(d['c_0011_5']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_5']), 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_10']})} 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_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_1001_1, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 9018358932760045798897685/2853012821409693850044312*c_1001_10^8 - 99198175307690590645010789/9985544874933928475155092*c_1001_10^7 + 48179536589639006055575434/2496386218733482118788773*c_1001_10^6 - 195254347033524608483258987/2496386218733482118788773*c_1001_10^5 - 660895613644453710560113343/9985544874933928475155092*c_1001_10^4 + 505811252509748714831432455/6657029916622618983436728*c_1001_10^3 - 20027295355311252474893556415/19971089749867856950310184*c_1001_10^\ 2 - 19292523395323892321018023775/9985544874933928475155092*c_1001_\ 10 - 502173767882212829677292635/554752493051884915286394, c_0011_0 - 1, c_0011_10 + 228655194903961/52724378578809468*c_1001_10^8 - 524730387649225/26362189289404734*c_1001_10^7 + 733560641129653/13181094644702367*c_1001_10^6 - 2414730836638559/13181094644702367*c_1001_10^5 + 4200038048278973/26362189289404734*c_1001_10^4 - 2231960415133971/17574792859603156*c_1001_10^3 - 78490179911085401/52724378578809468*c_1001_10^2 - 22129919580110179/26362189289404734*c_1001_10 - 339167408780632/4393698214900789, c_0011_11 + 140634907977991/26362189289404734*c_1001_10^8 - 326474581340281/13181094644702367*c_1001_10^7 + 901263533658224/13181094644702367*c_1001_10^6 - 2994024668320282/13181094644702367*c_1001_10^5 + 2721122324529491/13181094644702367*c_1001_10^4 - 635169668031441/8787396429801578*c_1001_10^3 - 40233762751218557/26362189289404734*c_1001_10^2 - 16865007072901462/13181094644702367*c_1001_10 + 1258796131677079/4393698214900789, c_0011_3 + 293033708858884/13181094644702367*c_1001_10^8 - 1087919450850230/13181094644702367*c_1001_10^7 + 2583597640798729/13181094644702367*c_1001_10^6 - 9577838299890434/13181094644702367*c_1001_10^5 + 1703268161106277/13181094644702367*c_1001_10^4 - 169677151734146/4393698214900789*c_1001_10^3 - 87682731825441395/13181094644702367*c_1001_10^2 - 125834687357259512/13181094644702367*c_1001_10 - 22730188228585265/4393698214900789, c_0011_4 + 140634907977991/26362189289404734*c_1001_10^8 - 326474581340281/13181094644702367*c_1001_10^7 + 901263533658224/13181094644702367*c_1001_10^6 - 2994024668320282/13181094644702367*c_1001_10^5 + 2721122324529491/13181094644702367*c_1001_10^4 - 635169668031441/8787396429801578*c_1001_10^3 - 40233762751218557/26362189289404734*c_1001_10^2 - 3683912428199095/13181094644702367*c_1001_10 + 1258796131677079/4393698214900789, c_0011_5 - 182151382143829/17574792859603156*c_1001_10^8 + 191026024022807/4393698214900789*c_1001_10^7 - 495646248518826/4393698214900789*c_1001_10^6 + 1760686992738918/4393698214900789*c_1001_10^5 - 2416774634140813/8787396429801578*c_1001_10^4 + 4519686502834637/17574792859603156*c_1001_10^3 + 47760903334405119/17574792859603156*c_1001_10^2 + 14446856611648820/4393698214900789*c_1001_10 + 1985199733175631/4393698214900789, c_0101_0 - 375504071278203/17574792859603156*c_1001_10^8 + 772957387337563/8787396429801578*c_1001_10^7 - 1018884337104244/4393698214900789*c_1001_10^6 + 3571665542023080/4393698214900789*c_1001_10^5 - 4453483449127369/8787396429801578*c_1001_10^4 + 9086299154942819/17574792859603156*c_1001_10^3 + 105702204967181959/17574792859603156*c_1001_10^2 + 66139289699511483/8787396429801578*c_1001_10 + 15434317256467463/4393698214900789, c_0101_1 - 1, c_0101_10 + 42030094188971/17574792859603156*c_1001_10^8 - 79114245709563/8787396429801578*c_1001_10^7 + 105274211398069/4393698214900789*c_1001_10^6 - 405981665800097/4393698214900789*c_1001_10^5 + 460649374605373/8787396429801578*c_1001_10^4 - 1980856088919787/17574792859603156*c_1001_10^3 - 11208429717440215/17574792859603156*c_1001_10^2 - 14956775796534757/8787396429801578*c_1001_10 - 3945986688206756/4393698214900789, c_0101_11 + 764774736912641/52724378578809468*c_1001_10^8 - 1285547001891209/26362189289404734*c_1001_10^7 + 1366511472946298/13181094644702367*c_1001_10^6 - 5365868634169861/13181094644702367*c_1001_10^5 - 3417656450662547/26362189289404734*c_1001_10^4 + 2572486818046085/17574792859603156*c_1001_10^3 - 236638112647007821/52724378578809468*c_1001_10^2 - 199431222468516563/26362189289404734*c_1001_10 - 20042997672055588/4393698214900789, c_1001_1 - 1265606261743201/52724378578809468*c_1001_10^8 + 1287368203170140/13181094644702367*c_1001_10^7 - 3326505589016779/13181094644702367*c_1001_10^6 + 11785087938565421/13181094644702367*c_1001_10^5 - 13786581476929445/26362189289404734*c_1001_10^4 + 10354790232794787/17574792859603156*c_1001_10^3 + 346296510250003475/52724378578809468*c_1001_10^2 + 116430428261212454/13181094644702367*c_1001_10 + 14732326433113417/4393698214900789, c_1001_10^9 - 20/7*c_1001_10^8 + 40/7*c_1001_10^7 - 176/7*c_1001_10^6 - 158/7*c_1001_10^5 - 3/7*c_1001_10^4 - 2105/7*c_1001_10^3 - 4904/7*c_1001_10^2 - 4356/7*c_1001_10 - 216 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.190 Total time: 0.400 seconds, Total memory usage: 32.09MB