Magma V2.19-8 Wed Aug 21 2013 00:17:47 on localhost [Seed = 290946122] Type ? for help. Type -D to quit. Loading file "K13n985__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n985 geometric_solution 12.32153641 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 -1 1 0 0 0 0 0 3 0 0 -3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.705397932682 0.925364305903 0 5 7 6 0132 0132 0132 0132 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 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.688373285659 1.035746403246 8 0 7 9 0132 0132 0321 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 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 0 0 0 0 0.705397932682 0.925364305903 10 11 7 0 0132 0132 3012 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 1 -1 -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 0.746895361028 0.733380823207 10 6 0 5 3120 0321 0132 1023 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 0 0 0 0 0 0 0 0 3 0 -3 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.605185505362 0.766721453858 9 1 11 4 1023 0132 1023 1023 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 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.550576860396 0.302648913161 8 11 1 4 2031 1023 0132 0321 0 0 0 0 0 0 0 0 1 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 -3 0 0 3 -1 4 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.631637426657 0.526278337545 12 3 2 1 0132 1230 0321 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 -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 0.420502891512 1.218423960896 2 12 6 10 0132 1230 1302 1302 0 0 0 0 0 1 -1 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 -4 3 1 0 0 0 0 0 -4 0 4 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.392096117990 0.537560806997 12 5 2 11 1230 1023 0132 1023 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 0 0 0 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.605185505362 0.766721453858 3 12 8 4 0132 1302 2031 3120 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 4 -4 0 1 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 0 0.696874047461 0.617088578333 6 3 5 9 1023 0132 1023 1023 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 0 0 0 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.938239760600 0.619924476670 7 9 8 10 0132 3012 3012 2031 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 0 0 0 0 0 4 -4 -1 0 0 1 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.195696549408 0.712218333689 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_5'], 'c_1001_10' : negation(d['c_0101_2']), 'c_1001_12' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_11'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0101_11'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0011_12'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : negation(d['c_0011_4']), 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : negation(d['c_0011_4']), '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_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' : 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_1001_7'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_7'], 'c_1100_4' : negation(d['c_1001_7']), 'c_1100_7' : d['c_1001_2'], 'c_1100_6' : d['c_1001_2'], 'c_1100_1' : d['c_1001_2'], 'c_1100_0' : negation(d['c_1001_7']), 'c_1100_3' : negation(d['c_1001_7']), 'c_1100_2' : d['c_1001_7'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_7']), 'c_1100_10' : negation(d['c_0101_1']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_3'], 'c_1010_6' : d['c_0110_11'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0110_11'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0101_11'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0110_11'], 'c_1010_8' : d['c_0101_1'], 'c_1100_8' : d['c_0101_0'], '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_4'], '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_0'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : d['c_0011_10'], '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_0110_11'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : negation(d['c_0101_2']), 'c_0101_12' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_2']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : negation(d['c_0011_10']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_12'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0110_11'], 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(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_12, c_0011_4, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_3, c_0101_5, c_0110_11, c_1001_2, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 54669735/413984*c_1001_7^8 + 7595841/51748*c_1001_7^7 - 47882823/413984*c_1001_7^6 + 322353441/413984*c_1001_7^5 + 144769989/413984*c_1001_7^4 - 530679099/413984*c_1001_7^3 + 375734123/413984*c_1001_7^2 - 178889159/413984*c_1001_7 - 456725641/413984, c_0011_0 - 1, c_0011_10 + 47/761*c_1001_7^8 - 35/761*c_1001_7^7 - 245/761*c_1001_7^6 + 418/761*c_1001_7^5 - 20/761*c_1001_7^4 - 1018/761*c_1001_7^3 + 1553/761*c_1001_7^2 + 357/761*c_1001_7 - 335/761, c_0011_12 + 80/761*c_1001_7^8 - 11/761*c_1001_7^7 - 77/761*c_1001_7^6 + 501/761*c_1001_7^5 - 115/761*c_1001_7^4 - 146/761*c_1001_7^3 + 749/761*c_1001_7^2 - 40/761*c_1001_7 - 214/761, c_0011_4 - 121/761*c_1001_7^8 - 88/761*c_1001_7^7 + 145/761*c_1001_7^6 - 558/761*c_1001_7^5 - 159/761*c_1001_7^4 + 1115/761*c_1001_7^3 - 96/761*c_1001_7^2 - 320/761*c_1001_7 + 571/761, c_0101_0 + 1, c_0101_1 + 223/761*c_1001_7^8 + 93/761*c_1001_7^7 - 110/761*c_1001_7^6 + 1368/761*c_1001_7^5 - 273/761*c_1001_7^4 - 1187/761*c_1001_7^3 + 1831/761*c_1001_7^2 - 1253/761*c_1001_7 - 958/761, c_0101_11 + 61/1522*c_1001_7^8 - 47/761*c_1001_7^7 + 103/1522*c_1001_7^6 + 753/1522*c_1001_7^5 - 1467/1522*c_1001_7^4 + 897/1522*c_1001_7^3 + 3149/1522*c_1001_7^2 - 4977/1522*c_1001_7 + 2253/1522, c_0101_2 + 121/761*c_1001_7^8 + 88/761*c_1001_7^7 - 145/761*c_1001_7^6 + 558/761*c_1001_7^5 + 159/761*c_1001_7^4 - 1115/761*c_1001_7^3 + 96/761*c_1001_7^2 + 320/761*c_1001_7 - 571/761, c_0101_3 + 80/761*c_1001_7^8 - 11/761*c_1001_7^7 - 77/761*c_1001_7^6 + 501/761*c_1001_7^5 - 115/761*c_1001_7^4 - 146/761*c_1001_7^3 + 749/761*c_1001_7^2 - 40/761*c_1001_7 - 214/761, c_0101_5 - 19/761*c_1001_7^8 - 83/761*c_1001_7^7 + 180/761*c_1001_7^6 + 252/761*c_1001_7^5 - 591/761*c_1001_7^4 + 1043/761*c_1001_7^3 + 878/761*c_1001_7^2 - 2654/761*c_1001_7 + 945/761, c_0110_11 + 17/1522*c_1001_7^8 - 63/761*c_1001_7^7 - 121/1522*c_1001_7^6 + 135/1522*c_1001_7^5 - 833/1522*c_1001_7^4 - 773/1522*c_1001_7^3 + 1177/1522*c_1001_7^2 - 389/1522*c_1001_7 - 445/1522, c_1001_2 + 374/761*c_1001_7^8 + 272/761*c_1001_7^7 - 379/761*c_1001_7^6 + 2209/761*c_1001_7^5 - 62/761*c_1001_7^4 - 3308/761*c_1001_7^3 + 3064/761*c_1001_7^2 - 3231/761*c_1001_7 - 658/761, c_1001_7^9 + c_1001_7^8 - c_1001_7^7 + 6*c_1001_7^6 + 2*c_1001_7^5 - 10*c_1001_7^4 + 8*c_1001_7^3 - 4*c_1001_7^2 - 8*c_1001_7 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 5.840 Total time: 6.040 seconds, Total memory usage: 137.44MB