Magma V2.19-8 Wed Aug 21 2013 00:52:46 on localhost [Seed = 3549808229] Type ? for help. Type -D to quit. Loading file "L12n1088__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1088 geometric_solution 11.55123092 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 3201 0132 0 1 0 1 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 -1 0 1 1 0 -1 0 0 0 0 0 2 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.822273335702 2.273976009994 0 4 6 5 0132 0132 0132 0132 0 1 1 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 1 -1 -1 0 1 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.487846441368 0.308439467240 0 0 7 5 2310 0132 0132 2310 0 1 1 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 1 0 -1 3 0 -3 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 0.471670273157 0.556312967541 8 7 0 4 0132 0132 0132 2310 0 1 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 -1 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 0 0 0.256446404082 0.308845194058 3 1 9 8 3201 0132 0132 0321 0 1 0 1 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 1 0 -1 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 0.044951213158 1.011045801609 2 6 1 8 3201 2103 0132 2103 0 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 1 -1 0 0 0 0 1 -1 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.868445381896 0.459236816970 10 5 10 1 0132 2103 3120 0132 0 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 1 0 -1 0 0 1 -1 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.172685612847 0.851103926620 11 3 12 2 0132 0132 0132 0132 0 1 0 1 0 0 0 0 0 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 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.895385165554 0.919035823857 3 4 11 5 0132 0321 3120 2103 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 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 0.702348748711 1.279348774752 11 10 12 4 3012 3120 0321 0132 0 1 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 0 0 0 0 0 -1 1 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.434297673379 0.625008991519 6 9 6 12 0132 3120 3120 2310 1 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 0 0 0 0 0 -2 2 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 0.172685612847 0.851103926620 7 12 8 9 0132 3120 3120 1230 1 1 1 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 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.502023035795 0.651307782010 10 11 9 7 3201 3120 0321 0132 0 1 1 1 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 -3 3 -2 3 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.348905759199 0.393240698509 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_5']), 'c_1001_12' : negation(d['c_1001_11']), 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : negation(d['c_0011_10']), 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_11']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_5'], 'c_1001_8' : negation(d['c_1001_11']), 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : negation(d['c_0011_9']), 's_0_10' : d['1'], 's_3_10' : 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' : d['c_0101_11'], 'c_0101_10' : d['c_0101_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_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_1100_9' : negation(d['c_1001_11']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : negation(d['c_1001_11']), 'c_1100_7' : d['c_0011_5'], 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_5'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_4'], 'c_1100_10' : d['c_0011_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_1001_1']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0011_11']), 'c_1010_2' : negation(d['c_0101_11']), 'c_1010_1' : negation(d['c_0011_10']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_1001_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'], 'c_1100_12' : d['c_0011_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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_9'], 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_12' : d['c_0011_9'], 'c_0101_12' : d['c_0011_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_9'], 'c_0101_6' : negation(d['c_0011_12']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_12']), 'c_0101_8' : negation(d['c_0101_4']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0101_11'], 'c_1100_8' : negation(d['c_0101_11'])})} 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_12, c_0011_5, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_4, c_1001_1, c_1001_11, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 207052065537274907/58810790582264*c_1001_2^10 - 3785569852272666719/58810790582264*c_1001_2^9 + 16449770420291835477/29405395291132*c_1001_2^8 - 10176822616773675339/4200770755876*c_1001_2^7 + 100154146100701417155/14702697645566*c_1001_2^6 - 734310620263743161211/58810790582264*c_1001_2^5 + 119700764147503580982/7351348822783*c_1001_2^4 - 469034081053746974039/29405395291132*c_1001_2^3 + 647973111639430664247/58810790582264*c_1001_2^2 - 133603706577965339323/29405395291132*c_1001_2 + 6001811251451495567/7351348822783, c_0011_0 - 1, c_0011_10 - c_1001_2 + 1, c_0011_11 - 3941566961054/7351348822783*c_1001_2^10 + 72488028021015/7351348822783*c_1001_2^9 - 633710393022489/7351348822783*c_1001_2^8 + 396246313801065/1050192688969*c_1001_2^7 - 7869020586905651/7351348822783*c_1001_2^6 + 14602075794764718/7351348822783*c_1001_2^5 - 19220976767735012/7351348822783*c_1001_2^4 + 18987599377958531/7351348822783*c_1001_2^3 - 13303767239241256/7351348822783*c_1001_2^2 + 5591270339580739/7351348822783*c_1001_2 - 1020367905710171/7351348822783, c_0011_12 + 53633308479067/610161952290989*c_1001_2^10 - 957924720341363/610161952290989*c_1001_2^9 + 8114896205630241/610161952290989*c_1001_2^8 - 4776980420078705/87165993184427*c_1001_2^7 + 89362708760991391/610161952290989*c_1001_2^6 - 151622901420048955/610161952290989*c_1001_2^5 + 182502387823064033/610161952290989*c_1001_2^4 - 165273301964047667/610161952290989*c_1001_2^3 + 98945402576051620/610161952290989*c_1001_2^2 - 29520124681639657/610161952290989*c_1001_2 + 2647809592453582/610161952290989, c_0011_5 + 736242659770/7351348822783*c_1001_2^10 - 13373889792401/7351348822783*c_1001_2^9 + 115362053730853/7351348822783*c_1001_2^8 - 70325239631985/1050192688969*c_1001_2^7 + 1360845895267332/7351348822783*c_1001_2^6 - 2431733743830483/7351348822783*c_1001_2^5 + 3077426141515107/7351348822783*c_1001_2^4 - 2927312517807235/7351348822783*c_1001_2^3 + 1926659287547289/7351348822783*c_1001_2^2 - 707736542856107/7351348822783*c_1001_2 + 99915268135351/7351348822783, c_0011_9 + 569142706991931/610161952290989*c_1001_2^10 - 10349974426675252/610161952290989*c_1001_2^9 + 89438958587703633/610161952290989*c_1001_2^8 - 54745778131886820/87165993184427*c_1001_2^7 + 1066670414614686985/610161952290989*c_1001_2^6 - 1926769890896427564/610161952290989*c_1001_2^5 + 2478340293714485743/610161952290989*c_1001_2^4 - 2396492002211351777/610161952290989*c_1001_2^3 + 1619153475630854514/610161952290989*c_1001_2^2 - 642176993326796762/610161952290989*c_1001_2 + 108536867297739136/610161952290989, c_0101_0 - 1, c_0101_1 + 495822448813/7351348822783*c_1001_2^10 - 9266701764748/7351348822783*c_1001_2^9 + 82197255719898/7351348822783*c_1001_2^8 - 52648526048782/1050192688969*c_1001_2^7 + 1059969475402090/7351348822783*c_1001_2^6 - 2002834386785242/7351348822783*c_1001_2^5 + 2642432976299814/7351348822783*c_1001_2^4 - 2621631712496448/7351348822783*c_1001_2^3 + 1843742269779861/7351348822783*c_1001_2^2 - 765937501845858/7351348822783*c_1001_2 + 132736479754513/7351348822783, c_0101_11 + 84261712586/7351348822783*c_1001_2^10 - 1911055800204/7351348822783*c_1001_2^9 + 19773352268179/7351348822783*c_1001_2^8 - 15725608691900/1050192688969*c_1001_2^7 + 362132602713803/7351348822783*c_1001_2^6 - 797464598547464/7351348822783*c_1001_2^5 + 1145884882783197/7351348822783*c_1001_2^4 - 1217656731949404/7351348822783*c_1001_2^3 + 942318332500147/7351348822783*c_1001_2^2 - 423518441482691/7351348822783*c_1001_2 + 70824107995855/7351348822783, c_0101_4 - 733603795912737/610161952290989*c_1001_2^10 + 13438732863639047/610161952290989*c_1001_2^9 - 117018235375797773/610161952290989*c_1001_2^8 + 72644085514081863/87165993184427*c_1001_2^7 - 1433689496106815541/610161952290989*c_1001_2^6 + 2637562180003055848/610161952290989*c_1001_2^5 - 3447699938121693207/610161952290989*c_1001_2^4 + 3384257384580343725/610161952290989*c_1001_2^3 - 2346233525674296584/610161952290989*c_1001_2^2 + 970562638202841237/610161952290989*c_1001_2 - 173709521845954418/610161952290989, c_1001_1 - 153924762699/7351348822783*c_1001_2^10 + 3084205475938/7351348822783*c_1001_2^9 - 29109921606552/7351348822783*c_1001_2^8 + 20555347187982/1050192688969*c_1001_2^7 - 443057753209287/7351348822783*c_1001_2^6 + 910630691894144/7351348822783*c_1001_2^5 - 1267599575992724/7351348822783*c_1001_2^4 + 1317125841403014/7351348822783*c_1001_2^3 - 985307387361658/7351348822783*c_1001_2^2 + 440434271073315/7351348822783*c_1001_2 - 82306526502958/7351348822783, c_1001_11 - 4659765219015/7351348822783*c_1001_2^10 + 85201200451804/7351348822783*c_1001_2^9 - 740442561132300/7351348822783*c_1001_2^8 + 458011063517095/1050192688969*c_1001_2^7 - 9009716074998852/7351348822783*c_1001_2^6 + 16500606317023908/7351348822783*c_1001_2^5 - 21485224693446193/7351348822783*c_1001_2^4 + 21019194504655798/7351348822783*c_1001_2^3 - 14478714874612354/7351348822783*c_1001_2^2 + 5930622934058848/7351348822783*c_1001_2 - 1049188740727877/7351348822783, c_1001_2^11 - 19*c_1001_2^10 + 172*c_1001_2^9 - 802*c_1001_2^8 + 2428*c_1001_2^7 - 4933*c_1001_2^6 + 7166*c_1001_2^5 - 7844*c_1001_2^4 + 6375*c_1001_2^3 - 3532*c_1001_2^2 + 1156*c_1001_2 - 166 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 11.700 Total time: 11.919 seconds, Total memory usage: 81.00MB