Magma V2.19-8 Wed Aug 21 2013 00:07:20 on localhost [Seed = 4105345536] Type ? for help. Type -D to quit. Loading file "K13n2280__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n2280 geometric_solution 12.26905392 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 1 -1 0 0 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 1 -1 0 1 0 0 -1 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.114613045545 1.052419431388 0 5 3 6 0132 0132 3120 0132 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 0 0 0 -1 0 0 1 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.387593147764 0.866436116191 7 0 8 6 0132 0132 0132 2103 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 1 -1 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.802030833926 0.607896829378 9 10 1 0 0132 0132 3120 0132 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 -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 0.751001392092 0.663691098967 11 10 0 11 0132 0321 0132 2103 0 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.183348316024 0.952659025754 12 1 12 11 0132 0132 2310 0321 0 0 0 0 0 0 -1 1 0 0 1 -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 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 0.658731551122 0.490669170030 9 8 1 2 2103 3201 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 -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 0.833734952430 0.680975201503 2 11 9 9 0132 1230 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 -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 -1 0 0 0 0 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482652606848 0.805020401187 12 10 6 2 3012 0213 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.099778460393 0.894373404911 3 7 6 7 0132 0321 2103 0132 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 -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 0.452160760981 0.913745741188 12 3 8 4 2310 0132 0213 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.819266560176 0.820482699644 4 5 7 4 0132 0321 3012 2103 0 0 0 0 0 -1 0 1 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 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 0.183348316024 0.952659025754 5 5 10 8 0132 3201 3201 1230 0 0 0 0 0 0 0 0 0 0 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 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 0.724451328517 0.412696965802 ==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' : d['c_1001_0'], 'c_1001_12' : negation(d['c_0011_8']), 'c_1001_5' : negation(d['c_0101_8']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : negation(d['c_0101_8']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0101_8'], 'c_1010_11' : d['c_1001_1'], 'c_1010_10' : negation(d['c_1001_1']), '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' : d['c_0101_11'], 'c_0101_10' : d['c_0011_8'], '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' : d['c_0011_6'], 'c_1100_8' : d['c_0011_6'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_0101_1']), 'c_1100_7' : d['c_0011_6'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : d['c_0011_6'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_11']), 'c_1100_10' : d['c_1001_2'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : negation(d['c_1001_0']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_1001_1']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_8']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_1001_2'], '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_0011_10']), '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_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0011_11'], 'c_0110_12' : d['c_0011_8'], 'c_0101_12' : negation(d['c_0011_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_8'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : negation(d['c_0011_6'])})} 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_6, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0101_8, c_1001_0, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 5527/2584*c_1001_2^7 + 91093/2584*c_1001_2^6 + 17118/323*c_1001_2^5 + 95745/2584*c_1001_2^4 + 817245/2584*c_1001_2^3 + 249581/323*c_1001_2^2 + 1658425/2584*c_1001_2 + 485597/2584, c_0011_0 - 1, c_0011_10 + 8/19*c_1001_2^7 + 9/19*c_1001_2^6 + 6/19*c_1001_2^5 + 73/19*c_1001_2^4 + 144/19*c_1001_2^3 + 75/19*c_1001_2^2 + 2/19*c_1001_2 + 18/19, c_0011_11 - 4/19*c_1001_2^7 + 5/19*c_1001_2^6 - 3/19*c_1001_2^5 - 27/19*c_1001_2^4 + 4/19*c_1001_2^3 + 48/19*c_1001_2^2 - 1/19*c_1001_2 - 9/19, c_0011_6 + 8/19*c_1001_2^7 + 9/19*c_1001_2^6 + 6/19*c_1001_2^5 + 73/19*c_1001_2^4 + 144/19*c_1001_2^3 + 56/19*c_1001_2^2 + 2/19*c_1001_2 + 18/19, c_0011_8 - 4/19*c_1001_2^7 - 1/19*c_1001_2^6 - 1/19*c_1001_2^5 - 36/19*c_1001_2^4 - 40/19*c_1001_2^3 + 20/19*c_1001_2^2 + 1/19*c_1001_2 - 15/19, c_0101_0 - 7/19*c_1001_2^7 + 4/19*c_1001_2^6 - 10/19*c_1001_2^5 - 52/19*c_1001_2^4 - 31/19*c_1001_2^3 + 8/19*c_1001_2^2 - 16/19*c_1001_2 + 8/19, c_0101_1 + 6/19*c_1001_2^7 + 6/19*c_1001_2^6 + 56/19*c_1001_2^4 + 93/19*c_1001_2^3 + 10/19*c_1001_2^2 - 22/19*c_1001_2 + 8/19, c_0101_11 + 13/19*c_1001_2^7 + 2/19*c_1001_2^6 + 10/19*c_1001_2^5 + 108/19*c_1001_2^4 + 124/19*c_1001_2^3 + 2/19*c_1001_2^2 - 6/19*c_1001_2, c_0101_3 + 11/19*c_1001_2^7 - 3/19*c_1001_2^6 + 11/19*c_1001_2^5 + 88/19*c_1001_2^4 + 71/19*c_1001_2^3 - 28/19*c_1001_2^2 + 15/19*c_1001_2 + 7/19, c_0101_8 + 16/19*c_1001_2^7 + 5/19*c_1001_2^6 + 10/19*c_1001_2^5 + 136/19*c_1001_2^4 + 180/19*c_1001_2^3 - 12/19*c_1001_2^2 - 17/19*c_1001_2 + 23/19, c_1001_0 - 12/19*c_1001_2^7 - 4/19*c_1001_2^6 - 9/19*c_1001_2^5 - 100/19*c_1001_2^4 - 140/19*c_1001_2^3 - 8/19*c_1001_2^2 - 3/19*c_1001_2 - 27/19, c_1001_1 - 8/19*c_1001_2^7 - 9/19*c_1001_2^6 - 6/19*c_1001_2^5 - 73/19*c_1001_2^4 - 144/19*c_1001_2^3 - 56/19*c_1001_2^2 + 17/19*c_1001_2 + 1/19, c_1001_2^8 + c_1001_2^7 + c_1001_2^6 + 9*c_1001_2^5 + 17*c_1001_2^4 + 9*c_1001_2^3 + c_1001_2^2 + c_1001_2 + 1 ], 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_6, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0101_8, c_1001_0, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 9359537797250798/14124929096102139*c_1001_1^9 + 19589502691126279/4708309698700713*c_1001_1^8 - 213262067293501007/14124929096102139*c_1001_1^7 + 621763781193313498/14124929096102139*c_1001_1^6 - 1417924494139288381/14124929096102139*c_1001_1^5 + 2375301277941978287/14124929096102139*c_1001_1^4 - 362331360307961935/1569436566233571*c_1001_1^3 + 3188810434950426472/14124929096102139*c_1001_1^2 - 2403906373004614613/14124929096102139*c_1001_1 + 397151504840212700/14124929096102139, c_0011_0 - 1, c_0011_10 + 5157300/2681271287*c_1001_1^9 - 33925538/2681271287*c_1001_1^8 + 49814678/2681271287*c_1001_1^7 + 57067366/2681271287*c_1001_1^6 - 331263230/2681271287*c_1001_1^5 + 1450706603/2681271287*c_1001_1^4 - 3599409203/2681271287*c_1001_1^3 + 4179418383/2681271287*c_1001_1^2 - 3177324148/2681271287*c_1001_1 + 2392262319/2681271287, c_0011_11 + c_1001_1 - 1, c_0011_6 + 14062689/2681271287*c_1001_1^9 - 80556219/2681271287*c_1001_1^8 + 298162291/2681271287*c_1001_1^7 - 968984287/2681271287*c_1001_1^6 + 2310274947/2681271287*c_1001_1^5 - 4160848743/2681271287*c_1001_1^4 + 6763677146/2681271287*c_1001_1^3 - 6557660743/2681271287*c_1001_1^2 + 5460271408/2681271287*c_1001_1 - 24691860/2681271287, c_0011_8 + 12304739/2681271287*c_1001_1^9 - 59997905/2681271287*c_1001_1^8 + 181725607/2681271287*c_1001_1^7 - 391905370/2681271287*c_1001_1^6 + 575992922/2681271287*c_1001_1^5 - 282611525/2681271287*c_1001_1^4 - 957192353/2681271287*c_1001_1^3 + 3231843634/2681271287*c_1001_1^2 - 3507930739/2681271287*c_1001_1 + 3188947954/2681271287, c_0101_0 - 44215173/2681271287*c_1001_1^9 + 242294889/2681271287*c_1001_1^8 - 820035936/2681271287*c_1001_1^7 + 2302032360/2681271287*c_1001_1^6 - 4760975900/2681271287*c_1001_1^5 + 7024001681/2681271287*c_1001_1^4 - 8433698091/2681271287*c_1001_1^3 + 5224860178/2681271287*c_1001_1^2 - 1455777803/2681271287*c_1001_1 - 2862354610/2681271287, c_0101_1 + 56900528/2681271287*c_1001_1^9 - 374003323/2681271287*c_1001_1^8 + 1383245921/2681271287*c_1001_1^7 - 4037452094/2681271287*c_1001_1^6 + 9231690965/2681271287*c_1001_1^5 - 15383685497/2681271287*c_1001_1^4 + 20777351450/2681271287*c_1001_1^3 - 19759947192/2681271287*c_1001_1^2 + 13757917499/2681271287*c_1001_1 - 3280924123/2681271287, c_0101_11 - 56900528/2681271287*c_1001_1^9 + 374003323/2681271287*c_1001_1^8 - 1383245921/2681271287*c_1001_1^7 + 4037452094/2681271287*c_1001_1^6 - 9231690965/2681271287*c_1001_1^5 + 15383685497/2681271287*c_1001_1^4 - 20777351450/2681271287*c_1001_1^3 + 19759947192/2681271287*c_1001_1^2 - 13757917499/2681271287*c_1001_1 + 3280924123/2681271287, c_0101_3 + 31910434/2681271287*c_1001_1^9 - 182296984/2681271287*c_1001_1^8 + 638310329/2681271287*c_1001_1^7 - 1910126990/2681271287*c_1001_1^6 + 4184982978/2681271287*c_1001_1^5 - 6741390156/2681271287*c_1001_1^4 + 9390890444/2681271287*c_1001_1^3 - 8456703812/2681271287*c_1001_1^2 + 4963708542/2681271287*c_1001_1 - 326593344/2681271287, c_0101_8 - 20824422/2681271287*c_1001_1^9 + 98811264/2681271287*c_1001_1^8 - 321465467/2681271287*c_1001_1^7 + 811652324/2681271287*c_1001_1^6 - 1587552760/2681271287*c_1001_1^5 + 2145530380/2681271287*c_1001_1^4 - 2222079142/2681271287*c_1001_1^3 + 876201693/2681271287*c_1001_1^2 - 1622244083/2681271287*c_1001_1 - 1292562958/2681271287, c_1001_0 - 24530835/2681271287*c_1001_1^9 + 178477578/2681271287*c_1001_1^8 - 705118425/2681271287*c_1001_1^7 + 2157485821/2681271287*c_1001_1^6 - 5092266727/2681271287*c_1001_1^5 + 9212265988/2681271287*c_1001_1^4 - 13316453512/2681271287*c_1001_1^3 + 13684812401/2681271287*c_1001_1^2 - 11612779625/2681271287*c_1001_1 + 3611936243/2681271287, c_1001_1^10 - 7*c_1001_1^9 + 28*c_1001_1^8 - 87*c_1001_1^7 + 214*c_1001_1^6 - 405*c_1001_1^5 + 625*c_1001_1^4 - 743*c_1001_1^3 + 705*c_1001_1^2 - 413*c_1001_1 + 163, c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 4.130 Total time: 4.339 seconds, Total memory usage: 64.12MB