Magma V2.19-8 Tue Aug 20 2013 23:57:15 on localhost [Seed = 643845826] Type ? for help. Type -D to quit. Loading file "L14n30789__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n30789 degenerate_solution 6.78475601 oriented_manifold CS_unknown 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 0 0 2 0132 3201 2310 0132 1 1 1 1 0 1 0 -1 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 1 -1 0 0 0 -1 1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.150058997157 1.536889321882 0 2 4 3 0132 2310 0132 0132 1 1 1 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 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 0.311461658529 0.308172160573 5 3 0 1 0132 1023 0132 3201 1 1 1 1 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 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 -0.537306200882 0.792077902777 2 6 1 6 1023 0132 0132 0213 1 1 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 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 0.864876191861 1.040728247040 5 6 7 1 1023 1023 0132 0132 1 1 1 1 0 1 -1 0 -1 0 0 1 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 -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 1.362850093475 0.476340381617 2 4 7 6 0132 1023 3120 1302 1 1 1 1 0 1 0 -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 0 0 0 0 -1 0 0 1 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.173492717830 0.355103230105 4 3 5 3 1023 0132 2031 0213 1 1 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 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 0.864876186083 1.040728246290 8 9 5 4 0132 0132 3120 0132 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 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 0.557015987764 0.586990816534 7 10 9 9 0132 0132 1230 1302 0 1 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 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 0 0 0 0 0 0 0 -1.021372242353 0.438825632812 11 7 8 8 0132 0132 2031 3012 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 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 0 0 0 0 -1.021372243375 0.438825630448 11 8 11 11 1023 0132 1230 1302 0 1 1 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 0 0 0 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 1.000000000000 0.000000006593 9 10 10 10 0132 1023 2031 3012 1 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 0 0 0 0 2 0 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000000000 0.000000006593 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0101_6'], 'c_1001_7' : negation(d['c_0101_4']), 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0110_3']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : d['c_0101_6'], 'c_1001_8' : d['c_1001_10'], 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : d['c_1001_10'], '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_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(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_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' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_1001_10']), 'c_1100_8' : d['c_0101_11'], 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_1' : negation(d['c_0101_5']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : d['c_0011_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_10']), 'c_1100_10' : d['c_0101_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_6'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0110_3']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_0110_3'], 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : negation(d['c_0101_4']), 'c_1010_8' : d['c_1001_10'], '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' : d['1'], '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' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : d['c_0101_11'], 'c_0110_10' : negation(d['c_0101_10']), 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : negation(d['c_0101_6']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_4'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : negation(d['c_0101_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_4'], 'c_0110_6' : negation(d['c_0110_3'])})} 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_2, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_4, c_0101_5, c_0101_6, c_0110_3, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 24624620250129657272/26765270663459935841*c_0110_3^5 + 107988788872242007356/26765270663459935841*c_0110_3^4 - 393283853572590535211/53530541326919871682*c_0110_3^3 + 718521555038223409469/107061082653839743364*c_0110_3^2 - 63149408487807909537/26765270663459935841*c_0110_3 - 13304724899057758243/53530541326919871682, c_0011_0 - 1, c_0011_10 - 98800/943*c_0110_3^5 + 357616/943*c_0110_3^4 - 616795/943*c_0110_3^3 + 609676/943*c_0110_3^2 - 14940/41*c_0110_3 + 127048/943, c_0011_2 + 10368/943*c_0110_3^5 - 37440/943*c_0110_3^4 + 65288/943*c_0110_3^3 - 64004/943*c_0110_3^2 + 1607/41*c_0110_3 - 13832/943, c_0101_0 - 2048/943*c_0110_3^5 + 9072/943*c_0110_3^4 - 18112/943*c_0110_3^3 + 19919/943*c_0110_3^2 - 528/41*c_0110_3 + 4106/943, c_0101_1 - 5184/943*c_0110_3^5 + 18720/943*c_0110_3^4 - 32644/943*c_0110_3^3 + 32002/943*c_0110_3^2 - 824/41*c_0110_3 + 6916/943, c_0101_10 + 49400/943*c_0110_3^5 - 178808/943*c_0110_3^4 + 616795/1886*c_0110_3^3 - 304838/943*c_0110_3^2 + 7470/41*c_0110_3 - 63524/943, c_0101_11 + 1, c_0101_4 - 52720/943*c_0110_3^5 + 191216/943*c_0110_3^4 - 329979/943*c_0110_3^3 + 326052/943*c_0110_3^2 - 7980/41*c_0110_3 + 67668/943, c_0101_5 + 6640/943*c_0110_3^5 - 24816/943*c_0110_3^4 + 43163/943*c_0110_3^3 - 42428/943*c_0110_3^2 + 1020/41*c_0110_3 - 8288/943, c_0101_6 - 46080/943*c_0110_3^5 + 166400/943*c_0110_3^4 - 286816/943*c_0110_3^3 + 283624/943*c_0110_3^2 - 6960/41*c_0110_3 + 59380/943, c_0110_3^6 - 5*c_0110_3^5 + 181/16*c_0110_3^4 - 15*c_0110_3^3 + 49/4*c_0110_3^2 - 25/4*c_0110_3 + 29/16, c_1001_10 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB