Magma V2.19-8 Wed Aug 21 2013 00:59:31 on localhost [Seed = 4256949936] Type ? for help. Type -D to quit. Loading file "L13n70__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n70 geometric_solution 12.29267017 oriented_manifold CS_known 0.0000000000000005 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 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 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 0.538721445038 0.720546001467 0 5 5 6 0132 0132 0321 0132 0 1 1 1 0 2 -3 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 1 -2 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 0.472198385693 0.942627450396 6 0 5 6 3012 0132 2031 2031 1 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 0 0 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 0.472198385693 0.942627450396 7 8 9 0 0132 0132 0132 0132 1 1 1 1 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 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 0.503404616395 0.840103972990 10 8 0 7 0132 0321 0132 0132 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 0 0 0 0 0 0 -1 1 1 0 0 -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 1.130155617143 0.763820973264 10 1 1 2 3201 0132 0321 1302 0 1 1 1 0 -2 3 -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 -1 2 -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 0.472198385693 0.942627450396 10 2 1 2 2103 1302 0132 1230 0 1 1 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 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 0.452225253208 0.807651825763 3 9 4 11 0132 0132 0132 0132 1 1 1 1 0 0 0 0 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 0 0 -1 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 0.268672715359 0.352758110144 12 3 10 4 0132 0132 0213 0321 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 -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 0.058470919063 1.225815849436 12 7 11 3 1023 0132 0132 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 0 0 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 -0.081138458214 1.073417106641 4 8 6 5 0132 0213 2103 2310 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 -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 0.538721445038 0.720546001467 12 12 7 9 3012 0213 0132 0132 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 -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 0.691317108223 1.600076180909 8 9 11 11 0132 1023 0213 1230 1 1 1 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 -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 0.691317108223 1.600076180909 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_0']), 'c_1001_11' : d['c_0101_9'], 'c_1001_10' : d['c_0011_6'], 'c_1001_12' : d['c_0101_9'], 'c_1001_5' : d['c_0110_2'], 'c_1001_4' : negation(d['c_0110_5']), 'c_1001_7' : d['c_1001_3'], 'c_1001_6' : d['c_0110_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0110_5']), 'c_1001_9' : d['c_0101_9'], 'c_1001_8' : d['c_0011_6'], 'c_1010_12' : d['c_0101_11'], 'c_1010_11' : d['c_0101_9'], 'c_1010_10' : negation(d['c_0110_5']), '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_0101_0'], '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' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : 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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_1100_8' : negation(d['c_0110_5']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0110_2'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_2']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_0011_0'], 's_3_10' : negation(d['1']), 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_1001_3'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0110_2'], 'c_1010_0' : negation(d['c_0110_5']), 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_1001_3'], 's_3_1' : negation(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_0101_9'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_12'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_12']), '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' : d['c_0011_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_9'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0011_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' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : 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_11'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_11'], 'c_0011_10' : d['c_0011_10']})} 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_12, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_9, c_0110_2, c_0110_5, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 5273900116082688/101070125*c_1100_0^15 + 2391650607300608/101070125*c_1100_0^14 + 9438568249294848/101070125*c_1100_0^13 - 4369743654944768/101070125*c_1100_0^12 - 5863877915705344/101070125*c_1100_0^11 + 2830964396130304/101070125*c_1100_0^10 + 13068599296/1025*c_1100_0^9 - 7157252096/1025*c_1100_0^8 - 12792823218176/20214025*c_1100_0^7 - 16753504960512/101070125*c_1100_0^6 + 85590784221184/101070125*c_1100_0^5 + 38172039528448/101070125*c_1100_0^4 - 39188827478016/101070125*c_1100_0^3 - 970815444992/101070125*c_1100_0^2 + 1585451023872/101070125*c_1100_0 - 1286375690752/101070125, c_0011_0 - 1, c_0011_10 + c_1100_0, c_0011_12 - 376832/31*c_1100_0^15 + 98304/31*c_1100_0^14 + 700416/31*c_1100_0^13 - 204800/31*c_1100_0^12 - 464896/31*c_1100_0^11 + 151296/31*c_1100_0^10 + 121344/31*c_1100_0^9 - 43904/31*c_1100_0^8 - 11776/31*c_1100_0^7 - 1824/31*c_1100_0^6 + 5760/31*c_1100_0^5 + 3760/31*c_1100_0^4 - 2496/31*c_1100_0^3 - 368/31*c_1100_0^2 + 158/31*c_1100_0 - 52/31, c_0011_6 + 339968/31*c_1100_0^15 - 94208/31*c_1100_0^14 - 623616/31*c_1100_0^13 + 175104/31*c_1100_0^12 + 411136/31*c_1100_0^11 - 116224/31*c_1100_0^10 - 108352/31*c_1100_0^9 + 30336/31*c_1100_0^8 + 11616/31*c_1100_0^7 + 2368/31*c_1100_0^6 - 5272/31*c_1100_0^5 - 3376/31*c_1100_0^4 + 2020/31*c_1100_0^3 + 456/31*c_1100_0^2 - 153/62*c_1100_0 + 24/31, c_0101_0 + 647168/31*c_1100_0^15 - 212992/31*c_1100_0^14 - 1200128/31*c_1100_0^13 + 401408/31*c_1100_0^12 + 795648/31*c_1100_0^11 - 268288/31*c_1100_0^10 - 209344/31*c_1100_0^9 + 68672/31*c_1100_0^8 + 22208/31*c_1100_0^7 + 4448/31*c_1100_0^6 - 10992/31*c_1100_0^5 - 6328/31*c_1100_0^4 + 4416/31*c_1100_0^3 + 756/31*c_1100_0^2 - 447/62*c_1100_0 + 153/62, c_0101_1 + 339968/31*c_1100_0^15 - 94208/31*c_1100_0^14 - 623616/31*c_1100_0^13 + 175104/31*c_1100_0^12 + 411136/31*c_1100_0^11 - 116224/31*c_1100_0^10 - 108352/31*c_1100_0^9 + 30336/31*c_1100_0^8 + 11616/31*c_1100_0^7 + 2368/31*c_1100_0^6 - 5272/31*c_1100_0^5 - 3376/31*c_1100_0^4 + 2020/31*c_1100_0^3 + 456/31*c_1100_0^2 - 153/62*c_1100_0 + 24/31, c_0101_11 + 696320/31*c_1100_0^15 - 303104/31*c_1100_0^14 - 1302528/31*c_1100_0^13 + 546816/31*c_1100_0^12 + 875264/31*c_1100_0^11 - 353408/31*c_1100_0^10 - 233280/31*c_1100_0^9 + 89408/31*c_1100_0^8 + 23744/31*c_1100_0^7 + 2400/31*c_1100_0^6 - 12800/31*c_1100_0^5 - 6344/31*c_1100_0^4 + 5526/31*c_1100_0^3 + 835/31*c_1100_0^2 - 561/62*c_1100_0 + 207/62, c_0101_2 - 1, c_0101_9 + 385024/31*c_1100_0^15 - 155648/31*c_1100_0^14 - 728064/31*c_1100_0^13 + 287232/31*c_1100_0^12 + 495360/31*c_1100_0^11 - 189952/31*c_1100_0^10 - 134592/31*c_1100_0^9 + 49344/31*c_1100_0^8 + 14016/31*c_1100_0^7 + 1152/31*c_1100_0^6 - 6888/31*c_1100_0^5 - 3556/31*c_1100_0^4 + 3022/31*c_1100_0^3 + 500/31*c_1100_0^2 - 335/62*c_1100_0 + 113/62, c_0110_2 + 1294336/31*c_1100_0^15 - 425984/31*c_1100_0^14 - 2400256/31*c_1100_0^13 + 802816/31*c_1100_0^12 + 1591296/31*c_1100_0^11 - 536576/31*c_1100_0^10 - 414720/31*c_1100_0^9 + 137344/31*c_1100_0^8 + 40448/31*c_1100_0^7 + 8896/31*c_1100_0^6 - 20992/31*c_1100_0^5 - 12656/31*c_1100_0^4 + 8832/31*c_1100_0^3 + 1512/31*c_1100_0^2 - 416/31*c_1100_0 + 184/31, c_0110_5 - 647168/31*c_1100_0^15 + 212992/31*c_1100_0^14 + 1200128/31*c_1100_0^13 - 401408/31*c_1100_0^12 - 795648/31*c_1100_0^11 + 268288/31*c_1100_0^10 + 209344/31*c_1100_0^9 - 68672/31*c_1100_0^8 - 22208/31*c_1100_0^7 - 4448/31*c_1100_0^6 + 10992/31*c_1100_0^5 + 6328/31*c_1100_0^4 - 4416/31*c_1100_0^3 - 756/31*c_1100_0^2 + 447/62*c_1100_0 - 153/62, c_1001_3 + 528384/31*c_1100_0^15 - 206848/31*c_1100_0^14 - 973824/31*c_1100_0^13 + 372736/31*c_1100_0^12 + 643584/31*c_1100_0^11 - 239488/31*c_1100_0^10 - 169024/31*c_1100_0^9 + 60224/31*c_1100_0^8 + 17504/31*c_1100_0^7 + 2288/31*c_1100_0^6 - 9144/31*c_1100_0^5 - 4760/31*c_1100_0^4 + 3764/31*c_1100_0^3 + 609/31*c_1100_0^2 - 373/62*c_1100_0 + 131/62, c_1100_0^16 - 2*c_1100_0^14 + 3/2*c_1100_0^12 - 1/2*c_1100_0^10 + 5/64*c_1100_0^8 + 1/64*c_1100_0^7 - 1/64*c_1100_0^6 - 1/64*c_1100_0^5 + 1/256*c_1100_0^4 + 1/256*c_1100_0^3 + 1/16384 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.220 Total time: 0.430 seconds, Total memory usage: 32.09MB