Magma V2.19-8 Tue Aug 20 2013 23:48:43 on localhost [Seed = 879910549] Type ? for help. Type -D to quit. Loading file "L12a1603__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a1603 geometric_solution 10.68447717 oriented_manifold CS_known -0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 1 3 0132 0132 3120 0132 1 2 1 1 0 0 1 -1 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 1 3 -4 5 0 -4 -1 -3 3 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.371016978224 0.787901140047 0 4 0 5 0132 0132 3120 0132 1 2 1 1 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 0 -1 1 -5 0 4 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 0.371016978224 0.787901140047 6 0 6 7 0132 0132 3120 0132 1 0 1 1 0 0 0 0 -1 0 1 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 1 0 -2 0 1 1 -1 1 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.481380344054 1.427542154138 5 8 0 5 0132 0132 0132 2103 1 2 1 1 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 4 -4 -1 0 1 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.510816814204 1.038841919380 6 1 9 10 1023 0132 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 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 0.023314211710 0.580467221222 3 10 1 3 0132 2031 0132 2103 1 2 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 1 -1 0 1 0 -1 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 0.510816814204 1.038841919380 2 4 2 8 0132 1023 3120 3120 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 -3 3 2 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 0.481380344054 1.427542154138 8 10 2 8 3120 3120 0132 0132 1 0 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 0 0 1 0 -1 0 4 -1 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.787901140047 0.628983021776 6 3 7 7 3120 0132 0132 3120 1 0 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 1 0 0 -1 0 4 0 -4 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.224817929667 0.618829363536 10 11 11 4 3201 0132 3201 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 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 0.066026732904 1.188132760980 5 7 4 9 1302 3120 0132 2310 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 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 0.023314211710 0.580467221222 9 9 11 11 2310 0132 1230 3012 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 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 2.054369627049 0.397899150369 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_9'], 'c_1001_10' : negation(d['c_1001_0']), 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : d['c_0101_9'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : negation(d['c_0101_11']), 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_11' : negation(d['c_0101_11']), 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : d['1'], 's_3_10' : 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_3'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : negation(d['c_0011_11']), 'c_1100_7' : negation(d['c_0101_6']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_0']), 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : negation(d['c_0101_6']), 's_3_11' : negation(d['1']), 'c_1100_11' : negation(d['c_0101_9']), 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : negation(d['c_0011_10']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_9'], 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : d['c_0101_9'], 'c_1010_8' : negation(d['c_0011_7']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : d['c_0101_2'], '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' : negation(d['c_0101_9']), 'c_0110_10' : negation(d['c_0101_9']), 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : d['c_0011_0'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_7'], 'c_0101_3' : d['c_0101_1'], '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_0101_2'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0011_7'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : negation(d['c_0101_6'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_6, c_0101_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 2388166917/2812160*c_1001_0^7 - 2447674259/1406080*c_1001_0^6 - 4276013187/2812160*c_1001_0^5 - 440365811/1406080*c_1001_0^4 - 10796291/562432*c_1001_0^3 - 751103289/1406080*c_1001_0^2 - 362248797/562432*c_1001_0 - 301937689/1406080, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - 43733/4544*c_1001_0^7 - 48859/2272*c_1001_0^6 - 94843/4544*c_1001_0^5 - 15073/2272*c_1001_0^4 + 5809/4544*c_1001_0^3 - 10733/2272*c_1001_0^2 - 34441/4544*c_1001_0 - 7319/2272, c_0011_3 - c_1001_0, c_0011_7 - 66357/2272*c_1001_0^7 - 68239/1136*c_1001_0^6 - 118425/2272*c_1001_0^5 - 5565/568*c_1001_0^4 + 1701/2272*c_1001_0^3 - 20915/1136*c_1001_0^2 - 50679/2272*c_1001_0 - 1143/142, c_0101_0 - 1, c_0101_1 - 188163/4544*c_1001_0^7 - 421479/4544*c_1001_0^6 - 380569/4544*c_1001_0^5 - 94745/4544*c_1001_0^4 + 9239/4544*c_1001_0^3 - 125069/4544*c_1001_0^2 - 159795/4544*c_1001_0 - 60795/4544, c_0101_11 - 1919/284*c_1001_0^7 - 39619/2272*c_1001_0^6 - 15915/1136*c_1001_0^5 - 7657/2272*c_1001_0^4 - 243/568*c_1001_0^3 - 12865/2272*c_1001_0^2 - 6303/1136*c_1001_0 - 4267/2272, c_0101_2 - 1, c_0101_6 + 7777/142*c_1001_0^7 + 249035/2272*c_1001_0^6 + 106705/1136*c_1001_0^5 + 39271/2272*c_1001_0^4 + 1211/568*c_1001_0^3 + 80549/2272*c_1001_0^2 + 45613/1136*c_1001_0 + 28169/2272, c_0101_9 - 4747/1136*c_1001_0^7 - 28433/4544*c_1001_0^6 - 231/71*c_1001_0^5 + 4765/4544*c_1001_0^4 - 493/1136*c_1001_0^3 - 5787/4544*c_1001_0^2 - 19/71*c_1001_0 + 1047/4544, c_1001_0^8 + 256/101*c_1001_0^7 + 284/101*c_1001_0^6 + 128/101*c_1001_0^5 + 22/101*c_1001_0^4 + 64/101*c_1001_0^3 + 108/101*c_1001_0^2 + 64/101*c_1001_0 + 13/101 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB