Magma V2.19-8 Wed Aug 21 2013 01:07:39 on localhost [Seed = 695152690] Type ? for help. Type -D to quit. Loading file "L14n33665__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33665 geometric_solution 12.33860417 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 0 1 0 -1 0 1 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 -2 1 1 1 0 -1 0 0 0 0 0 -5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.742098937986 1.001569879553 0 5 7 6 0132 0132 0132 0132 0 0 1 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 -1 0 1 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.158646673221 0.728726004516 8 0 7 5 0132 0132 3120 0132 0 0 1 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 2 -2 0 0 0 0 0 -1 -4 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.727687825161 1.412468259664 9 6 4 0 0132 0132 3012 0132 0 0 1 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 1 -1 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 0.687055756573 0.473518496470 10 3 0 7 0132 1230 0132 0321 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 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 0.511730304249 0.644031802298 8 1 2 10 1023 0132 0132 0321 0 0 0 1 0 0 0 0 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 2 0 0 -2 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.155793677996 0.921382469295 9 3 1 8 2103 0132 0132 2103 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.617738810537 0.577755023309 11 4 2 1 0132 0321 3120 0132 0 0 0 0 0 0 0 0 1 0 0 -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 1 0 0 -1 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.316332493929 1.352066860162 2 5 12 6 0132 1023 0132 2103 0 0 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 0 0 0 0 -2 2 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 0.054670564060 0.722400835427 3 11 6 10 0132 1230 2103 1023 0 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 0 0 0 0 0 0 0 0 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 0.697168494293 1.384154218812 4 5 12 9 0132 0321 1023 1023 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 -1 0 0 1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.311128500190 1.056662030775 7 12 9 12 0132 2103 3012 2310 1 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 0 0 0 0 -1 1 -1 0 0 1 2 -2 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.449220580448 0.850156858497 11 11 10 8 3201 2103 1023 0132 0 0 1 0 0 1 0 -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 2 0 -2 0 0 0 0 -1 0 0 1 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.536756833504 0.828512263075 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0110_6'], 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_0101_12'], 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_1001_2']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_12']), 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : d['c_0101_5'], 'c_1010_11' : negation(d['c_0101_5']), 'c_1010_10' : d['c_0101_3'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0011_11'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_12'], 'c_1100_4' : negation(d['c_1001_2']), 'c_1100_7' : negation(d['c_0101_2']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_1001_2']), 'c_1100_3' : negation(d['c_1001_2']), 'c_1100_2' : d['c_0101_12'], 's_0_10' : negation(d['1']), 'c_1100_9' : negation(d['c_0110_6']), 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : d['c_0110_6'], 's_3_10' : negation(d['1']), 'c_1010_7' : d['c_0101_3'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_1'], 'c_1010_8' : negation(d['c_0011_10']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(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' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0110_6']), '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' : negation(d['c_0011_12']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_12']), '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' : negation(d['c_0101_12']), 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0101_5'], 'c_0101_7' : negation(d['c_0101_12']), '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' : d['c_0101_0'], 'c_0101_8' : d['c_0101_5'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0110_6']), 's_2_9' : d['1']})} 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_11, c_0011_12, c_0101_0, c_0101_1, c_0101_12, c_0101_2, c_0101_3, c_0101_5, c_0110_6, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 19576721384/13099287*c_1001_2^6 + 60849722989/52397148*c_1001_2^5 - 8295951772/13099287*c_1001_2^4 - 17120393521/26198574*c_1001_2^3 - 21606514691/26198574*c_1001_2^2 - 4265434154/4366429*c_1001_2 - 20961599077/52397148, c_0011_0 - 1, c_0011_10 + 154/3*c_1001_2^6 + 44/3*c_1001_2^5 - 47/3*c_1001_2^4 - 52/3*c_1001_2^3 - 77/3*c_1001_2^2 - 24*c_1001_2 - 20/3, c_0011_11 - 275/3*c_1001_2^6 - 33*c_1001_2^5 + 80/3*c_1001_2^4 + 101/3*c_1001_2^3 + 48*c_1001_2^2 + 134/3*c_1001_2 + 44/3, c_0011_12 + 5863/24*c_1001_2^6 + 1199/12*c_1001_2^5 - 669/8*c_1001_2^4 - 1981/24*c_1001_2^3 - 3061/24*c_1001_2^2 - 1489/12*c_1001_2 - 297/8, c_0101_0 - 1287/8*c_1001_2^6 - 869/12*c_1001_2^5 + 1253/24*c_1001_2^4 + 469/8*c_1001_2^3 + 2047/24*c_1001_2^2 + 1031/12*c_1001_2 + 641/24, c_0101_1 - 1, c_0101_12 - 341/3*c_1001_2^6 - 110/3*c_1001_2^5 + 36*c_1001_2^4 + 110/3*c_1001_2^3 + 176/3*c_1001_2^2 + 160/3*c_1001_2 + 16, c_0101_2 - 55/3*c_1001_2^6 - 11*c_1001_2^5 + 16/3*c_1001_2^4 + 28/3*c_1001_2^3 + 10*c_1001_2^2 + 34/3*c_1001_2 + 10/3, c_0101_3 - 22*c_1001_2^6 - 22/3*c_1001_2^5 + 17/3*c_1001_2^4 + 7*c_1001_2^3 + 37/3*c_1001_2^2 + 31/3*c_1001_2 + 11/3, c_0101_5 + 143/4*c_1001_2^6 + 11/2*c_1001_2^5 - 35/4*c_1001_2^4 - 45/4*c_1001_2^3 - 69/4*c_1001_2^2 - 27/2*c_1001_2 - 15/4, c_0110_6 - 44/3*c_1001_2^6 - 22*c_1001_2^5 + 26/3*c_1001_2^4 + 26/3*c_1001_2^3 + 10*c_1001_2^2 + 47/3*c_1001_2 + 17/3, c_1001_0 + 2123/24*c_1001_2^6 + 451/12*c_1001_2^5 - 233/8*c_1001_2^4 - 761/24*c_1001_2^3 - 1097/24*c_1001_2^2 - 545/12*c_1001_2 - 117/8, c_1001_2^7 + c_1001_2^6 - 1/11*c_1001_2^5 - 6/11*c_1001_2^4 - 8/11*c_1001_2^3 - 9/11*c_1001_2^2 - 5/11*c_1001_2 - 1/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.560 Total time: 0.770 seconds, Total memory usage: 32.09MB