Magma V2.19-8 Wed Aug 21 2013 00:56:23 on localhost [Seed = 3599813864] Type ? for help. Type -D to quit. Loading file "L13n19__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n19 geometric_solution 11.49723398 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 1 0 0 0 0 0 0 0 0 0 1 0 -1 -1 0 1 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 -2 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.289745405961 0.953210200094 0 3 4 5 0132 1230 1230 0132 1 1 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 0 1 -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 0.996436554913 0.738441264239 6 0 8 7 0132 0132 0132 0132 1 1 1 1 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 -1 1 0 0 0 0 0 -2 0 0 2 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.066943330694 1.108807799318 7 9 1 0 0132 0132 3012 0132 1 1 1 1 0 0 0 0 0 0 0 0 0 1 0 -1 -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 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.163062845579 0.932997703358 6 9 0 1 3012 0213 0132 3012 1 1 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 1 -1 0 0 0 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.292041412432 1.755753420628 6 10 1 11 2103 0132 0132 0132 1 1 1 1 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 0 0 0 0 0 1 -1 -1 2 0 -1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.116136694902 0.936746270967 2 9 5 4 0132 1302 2103 1230 1 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 -1 1 0 0 0 0 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.580779344930 0.386171564246 3 8 2 11 0132 0132 0132 1230 1 1 1 1 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 0 0 0 0 0 0 -1 0 0 1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.001308167177 1.005508891152 9 7 11 2 0132 0132 1230 0132 1 1 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 1 -1 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.052148835989 0.843476945722 8 3 4 6 0132 0132 0213 2031 1 1 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.136371597576 1.234997752446 12 5 12 12 0132 0132 3120 2103 1 0 1 1 0 0 0 0 -1 0 1 0 0 -1 0 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 -1 0 0 1 0 2 0 -2 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.532862534363 0.564744558490 7 12 5 8 3012 3120 0132 3012 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.474327457739 0.441184127323 10 11 10 10 0132 3120 3120 2103 1 0 1 1 0 0 1 -1 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 -2 2 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 0.532862534363 0.564744558490 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_1001_10']), 'c_1001_5' : d['c_0011_11'], 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_1001_0'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_11'], 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_0011_11'], 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_0_12' : negation(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_10'], 's_2_0' : negation(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' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : 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_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : d['c_0110_11'], 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : d['c_0110_11'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_11']), 'c_1100_10' : negation(d['c_0101_10']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_11'], 'c_1010_0' : d['c_1001_0'], 'c_1010_9' : d['c_0011_0'], 'c_1010_8' : d['c_1001_0'], 'c_1100_8' : d['c_0110_11'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : 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' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_10']), 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_3'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(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' : d['c_0110_11'], 'c_0110_10' : d['c_0101_10'], 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : d['c_0101_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_11'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_4'], 'c_0101_8' : negation(d['c_0011_10']), 's_1_12' : negation(d['1']), 's_1_11' : negation(d['1']), 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_1']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0101_11']), 'c_0110_7' : d['c_0011_11'], 'c_0110_6' : d['c_0011_4']})} 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0110_11, c_1001_0, c_1001_1, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 11288883861557/3037583982964244480*c_1001_10^11 - 68558178856853/3037583982964244480*c_1001_10^10 + 175990948644893/759395995741061120*c_1001_10^9 - 347795876153747/189848998935265280*c_1001_10^8 + 1413017122147/409157325291520*c_1001_10^7 - 284077858035099/23731124866908160*c_1001_10^6 + 101544979819831/1186556243345408*c_1001_10^5 - 3305884773765/37079882604544*c_1001_10^4 + 270924409749391/741597652090880*c_1001_10^3 - 634538425849693/741597652090880*c_1001_10^2 + 30350790738929/37079882604544*c_1001_10 - 119989451100377/46349853255680, c_0011_0 - 1, c_0011_10 + 13/10485760*c_1001_10^11 - 51/2621440*c_1001_10^10 + 113/655360*c_1001_10^9 - 49/32768*c_1001_10^8 + 677/81920*c_1001_10^7 - 51/2048*c_1001_10^6 + 383/5120*c_1001_10^5 - 679/2560*c_1001_10^4 + 1553/2560*c_1001_10^3 - 833/640*c_1001_10^2 + 333/160*c_1001_10 - 13/5, c_0011_11 + 13/10485760*c_1001_10^11 - 51/2621440*c_1001_10^10 + 113/655360*c_1001_10^9 - 49/32768*c_1001_10^8 + 677/81920*c_1001_10^7 - 51/2048*c_1001_10^6 + 383/5120*c_1001_10^5 - 679/2560*c_1001_10^4 + 1553/2560*c_1001_10^3 - 833/640*c_1001_10^2 + 173/160*c_1001_10 - 13/5, c_0011_3 - 11/2621440*c_1001_10^11 + 51/1310720*c_1001_10^10 - 117/327680*c_1001_10^9 + 121/40960*c_1001_10^8 - 45/4096*c_1001_10^7 + 299/10240*c_1001_10^6 - 157/1280*c_1001_10^5 + 407/1280*c_1001_10^4 - 439/640*c_1001_10^3 + 427/320*c_1001_10^2 - 139/80*c_1001_10 + 49/20, c_0011_4 + 1/5242880*c_1001_10^11 - 11/2621440*c_1001_10^10 + 17/655360*c_1001_10^9 - 21/81920*c_1001_10^8 + 11/8192*c_1001_10^7 - 3/2560*c_1001_10^6 + 39/5120*c_1001_10^5 - 127/2560*c_1001_10^4 + 49/1280*c_1001_10^3 - 157/640*c_1001_10^2 + 9/160*c_1001_10 - 59/40, c_0101_0 - 9/10485760*c_1001_10^11 + 3/524288*c_1001_10^10 - 39/655360*c_1001_10^9 + 77/163840*c_1001_10^8 - 103/81920*c_1001_10^7 + 47/10240*c_1001_10^6 - 63/2560*c_1001_10^5 + 123/2560*c_1001_10^4 - 61/512*c_1001_10^3 + 149/640*c_1001_10^2 - 121/160*c_1001_10 + 1/2, c_0101_1 - 11/5242880*c_1001_10^11 + 21/1310720*c_1001_10^10 - 51/327680*c_1001_10^9 + 203/163840*c_1001_10^8 - 37/10240*c_1001_10^7 + 201/20480*c_1001_10^6 - 45/1024*c_1001_10^5 + 39/512*c_1001_10^4 - 293/1280*c_1001_10^3 + 53/160*c_1001_10^2 - 1/2*c_1001_10 - 11/20, c_0101_10 - 1, c_0101_11 + 9/5242880*c_1001_10^11 - 5/262144*c_1001_10^10 + 59/327680*c_1001_10^9 - 61/40960*c_1001_10^8 + 283/40960*c_1001_10^7 - 219/10240*c_1001_10^6 + 11/160*c_1001_10^5 - 139/640*c_1001_10^4 + 149/256*c_1001_10^3 - 329/320*c_1001_10^2 + 121/80*c_1001_10 - 2, c_0110_11 - 9/10485760*c_1001_10^11 + 3/524288*c_1001_10^10 - 39/655360*c_1001_10^9 + 77/163840*c_1001_10^8 - 103/81920*c_1001_10^7 + 47/10240*c_1001_10^6 - 63/2560*c_1001_10^5 + 123/2560*c_1001_10^4 - 61/512*c_1001_10^3 + 149/640*c_1001_10^2 - 121/160*c_1001_10 + 1/2, c_1001_0 - 1/2621440*c_1001_10^11 + 3/655360*c_1001_10^10 - 3/81920*c_1001_10^9 + 27/81920*c_1001_10^8 - 3/2048*c_1001_10^7 + 17/5120*c_1001_10^6 - 49/2560*c_1001_10^5 + 87/1280*c_1001_10^4 - 59/640*c_1001_10^3 + 61/160*c_1001_10^2 - 17/40*c_1001_10 + 6/5, c_1001_1 + 1/5242880*c_1001_10^11 - 11/2621440*c_1001_10^10 + 17/655360*c_1001_10^9 - 21/81920*c_1001_10^8 + 11/8192*c_1001_10^7 - 3/2560*c_1001_10^6 + 39/5120*c_1001_10^5 - 127/2560*c_1001_10^4 + 49/1280*c_1001_10^3 - 157/640*c_1001_10^2 + 9/160*c_1001_10 - 59/40, c_1001_10^12 - 8*c_1001_10^11 + 80*c_1001_10^10 - 640*c_1001_10^9 + 2176*c_1001_10^8 - 7168*c_1001_10^7 + 28672*c_1001_10^6 - 65536*c_1001_10^5 + 200704*c_1001_10^4 - 294912*c_1001_10^3 + 720896*c_1001_10^2 - 524288*c_1001_10 + 1048576 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.480 Total time: 0.680 seconds, Total memory usage: 32.09MB