Magma V2.19-8 Wed Aug 21 2013 01:09:16 on localhost [Seed = 206181753] Type ? for help. Type -D to quit. Loading file "L14n45391__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n45391 geometric_solution 11.32877367 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 2 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 0 0 0 0 0 0 -1 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 0 0 0.687263443217 0.558848317499 0 5 6 6 0132 0132 0213 0132 0 1 2 2 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.716396307679 0.830857559220 7 0 9 8 0132 0132 0132 0132 1 1 2 2 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 0 0 2 0 -3 1 0 0 0 0 -3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.635262942649 0.571697207336 5 5 6 0 3120 1230 1230 0132 1 1 2 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 -1 0 1 1 0 -1 0 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.716396307679 0.830857559220 8 10 0 7 0132 0132 0132 0132 1 1 2 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 0 0 0 0 0 0 -1 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 0 0 0.635262942649 0.571697207336 8 1 3 3 1023 0132 3012 3120 0 1 2 2 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 -2 1 0 0 1 -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 0.716396307679 0.830857559220 8 1 1 3 3012 0213 0132 3012 0 1 1 2 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.367955534441 1.077978339228 2 11 4 9 0132 0132 0132 0132 1 1 2 2 0 0 0 0 1 0 0 -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 1 -1 0 -2 0 0 2 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.732089987779 0.656236631405 4 5 2 6 0132 1023 0132 1230 1 1 2 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 0 0 0 0 0 0 0 0 0 0 -1 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 0.687263443217 0.558848317499 11 10 7 2 3012 0321 0132 0132 1 1 2 2 0 0 0 0 0 0 1 -1 -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 -1 0 -2 3 2 0 0 -2 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.154912079366 0.767242614071 12 4 11 9 0132 0132 0321 0321 1 2 2 2 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 -1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.088413124193 0.856799547420 12 7 10 9 1023 0132 0321 1230 1 2 2 2 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 -1 0 1 0 0 2 -2 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.713392034532 0.224379544106 10 11 12 12 0132 1023 2031 1302 2 2 2 2 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 0 0 0 0.695961587946 0.294207738790 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0101_2'], 'c_1001_12' : negation(d['c_0101_10']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_11'], 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : d['c_0011_9'], 'c_1010_11' : d['c_0101_2'], 'c_1010_10' : d['c_1001_2'], 's_0_10' : negation(d['1']), 's_0_11' : negation(d['1']), 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : negation(d['c_0101_10']), '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' : negation(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' : 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_0110_6'], 'c_1100_8' : d['c_0110_6'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_0110_6'], 'c_1100_7' : d['c_0110_6'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0110_6'], 'c_1100_3' : d['c_0110_6'], 'c_1100_2' : d['c_0110_6'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_2'], 'c_1100_10' : d['c_1001_11'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0101_0'], 's_3_1' : negation(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' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_9']), 's_1_7' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_9'], 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : negation(d['c_0011_9']), 'c_0110_0' : d['c_0011_6'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_2'], 'c_0101_8' : d['c_0101_7'], 'c_0011_10' : d['c_0011_0'], 's_1_12' : negation(d['1']), 's_1_11' : negation(d['1']), 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0110_6']})} 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_3, c_0011_6, c_0011_9, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_0101_5, c_0101_7, c_0110_6, c_1001_11, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 343547793051255904/905714327375*c_1001_2^9 + 345673992275225104/905714327375*c_1001_2^8 - 103390019107623408/181142865475*c_1001_2^7 + 130583633209458636/905714327375*c_1001_2^6 - 255963796332234674/905714327375*c_1001_2^5 - 140799280514147217/905714327375*c_1001_2^4 - 15407219155886433/181142865475*c_1001_2^3 - 21240398514745743/164675332250*c_1001_2^2 - 607812985601808171/7245714619000*c_1001_2 - 268840757711870859/14491429238000, c_0011_0 - 1, c_0011_3 + 1, c_0011_6 + 1840384/104215*c_1001_2^9 - 438528/20843*c_1001_2^8 + 660032/20843*c_1001_2^7 - 1388416/104215*c_1001_2^6 + 1748848/104215*c_1001_2^5 + 100912/20843*c_1001_2^4 + 68240/20843*c_1001_2^3 + 717004/104215*c_1001_2^2 + 340291/104215*c_1001_2 + 3050/20843, c_0011_9 - 1988608/104215*c_1001_2^9 + 436736/20843*c_1001_2^8 - 2736896/104215*c_1001_2^7 + 330688/104215*c_1001_2^6 - 479392/104215*c_1001_2^5 - 309392/20843*c_1001_2^4 + 258448/104215*c_1001_2^3 - 778416/104215*c_1001_2^2 - 397694/104215*c_1001_2 + 75351/104215, c_0101_0 - 1, c_0101_10 + 3382784/20843*c_1001_2^9 - 15685376/104215*c_1001_2^8 + 22669824/104215*c_1001_2^7 - 2267584/104215*c_1001_2^6 + 9216608/104215*c_1001_2^5 + 9692048/104215*c_1001_2^4 + 2891608/104215*c_1001_2^3 + 6178212/104215*c_1001_2^2 + 4071302/104215*c_1001_2 + 820432/104215, c_0101_2 + 877056/20843*c_1001_2^9 - 5112192/104215*c_1001_2^8 + 1491456/20843*c_1001_2^7 - 563136/20843*c_1001_2^6 + 3615328/104215*c_1001_2^5 + 1432496/104215*c_1001_2^4 + 115008/20843*c_1001_2^3 + 297720/20843*c_1001_2^2 + 698048/104215*c_1001_2 + 108707/104215, c_0101_3 - 1840384/104215*c_1001_2^9 + 438528/20843*c_1001_2^8 - 660032/20843*c_1001_2^7 + 1388416/104215*c_1001_2^6 - 1748848/104215*c_1001_2^5 - 100912/20843*c_1001_2^4 - 68240/20843*c_1001_2^3 - 717004/104215*c_1001_2^2 - 340291/104215*c_1001_2 - 23893/20843, c_0101_5 + 1840384/104215*c_1001_2^9 - 438528/20843*c_1001_2^8 + 660032/20843*c_1001_2^7 - 1388416/104215*c_1001_2^6 + 1748848/104215*c_1001_2^5 + 100912/20843*c_1001_2^4 + 68240/20843*c_1001_2^3 + 717004/104215*c_1001_2^2 + 340291/104215*c_1001_2 + 3050/20843, c_0101_7 + c_1001_2, c_0110_6 - 1840384/104215*c_1001_2^9 + 438528/20843*c_1001_2^8 - 660032/20843*c_1001_2^7 + 1388416/104215*c_1001_2^6 - 1748848/104215*c_1001_2^5 - 100912/20843*c_1001_2^4 - 68240/20843*c_1001_2^3 - 717004/104215*c_1001_2^2 - 576367/208430*c_1001_2 - 26943/41686, c_1001_11 + 5089792/104215*c_1001_2^9 - 5839104/104215*c_1001_2^8 + 1662848/20843*c_1001_2^7 - 2854528/104215*c_1001_2^6 + 746592/20843*c_1001_2^5 + 1855872/104215*c_1001_2^4 + 93536/20843*c_1001_2^3 + 1751622/104215*c_1001_2^2 + 715514/104215*c_1001_2 + 82699/104215, c_1001_2^10 - 1/2*c_1001_2^9 + c_1001_2^8 + 3/8*c_1001_2^7 + 9/16*c_1001_2^6 + 25/32*c_1001_2^5 + 7/16*c_1001_2^4 + 29/64*c_1001_2^3 + 101/256*c_1001_2^2 + 83/512*c_1001_2 + 13/512 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB