Magma V2.19-8 Wed Aug 21 2013 01:05:04 on localhost [Seed = 2732898874] Type ? for help. Type -D to quit. Loading file "L14n25000__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25000 geometric_solution 11.86865475 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 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 1 0 -1 -3 0 1 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 0.413904288808 0.647660038142 0 4 6 5 0132 2103 0132 0132 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 3 0 0 -3 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.468591588244 0.560710502409 7 0 8 4 0132 0132 0132 2103 1 0 1 1 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 -1 1 0 0 0 0 0 0 0 0 0 -2 -1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.768174894678 0.848865077984 9 10 7 0 0132 0132 3120 0132 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 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 0.264566147829 0.539370006507 11 1 0 2 0132 2103 0132 2103 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 -1 1 0 2 0 -2 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 -0.700606129059 1.096279030051 9 10 1 12 2103 0213 0132 0132 1 0 1 1 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 0 3 -3 -1 1 0 0 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.520627068238 1.182098934113 9 10 8 1 3120 2310 3120 0132 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 0 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 -0.085068087274 0.952396446186 2 8 3 11 0132 3120 3120 2103 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 0 0 -1 1 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.760176664273 0.394596480342 12 7 6 2 3120 3120 3120 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 1 -1 0 0 0 0 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488812792684 0.553810052784 3 12 5 6 0132 0132 2103 3120 1 0 1 1 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 1 -1 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 0.774579565995 1.422656457066 11 3 5 6 1230 0132 0213 3201 1 1 1 1 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 1 0 -1 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 0.341359837071 1.075176555550 4 10 12 7 0132 3012 2103 2103 1 0 1 1 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 0 0 0 0 0 -2 0 2 -2 0 3 -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 0.416245781851 0.841825500117 11 9 5 8 2103 0132 0132 3120 1 0 1 1 0 0 0 0 1 0 -1 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 -3 0 3 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 -0.163055844184 0.819002407401 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : negation(d['c_0011_6']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : negation(d['c_1001_3']), 'c_1001_6' : negation(d['c_1001_3']), 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0011_5'], 'c_1001_8' : d['c_1001_3'], 'c_1010_12' : d['c_0011_5'], 'c_1010_11' : negation(d['c_0011_5']), 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_0_11' : 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_0011_5'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : negation(d['1']), 's_0_6' : negation(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' : negation(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_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0101_1']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : negation(d['c_0101_11']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_11']), 'c_1100_11' : negation(d['c_0101_2']), 'c_1100_10' : negation(d['c_0011_6']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_5'], 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : negation(d['c_0011_0']), 'c_1100_8' : negation(d['c_0101_11']), 's_3_1' : d['1'], 's_3_0' : 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' : negation(d['1']), 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_8']), '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_10'], 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_11']), '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0011_11'], 'c_0110_12' : d['c_0101_2'], 'c_0101_12' : d['c_0101_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_11'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], '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_0'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], '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_7'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_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_5, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_7, c_0101_8, c_1001_0, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 2710173/225488*c_1001_3^7 - 56428635/2480368*c_1001_3^6 - 246668243/2480368*c_1001_3^5 - 274356935/2480368*c_1001_3^4 - 113528417/2480368*c_1001_3^3 - 97085877/2480368*c_1001_3^2 - 156546405/2480368*c_1001_3 - 53077025/2480368, c_0011_0 - 1, c_0011_10 - 117/1658*c_1001_3^7 + 303/6632*c_1001_3^6 - 951/3316*c_1001_3^5 + 5375/6632*c_1001_3^4 + 1981/1658*c_1001_3^3 + 2429/6632*c_1001_3^2 + 1955/3316*c_1001_3 + 229/6632, c_0011_11 - 453/6632*c_1001_3^7 - 57/829*c_1001_3^6 - 4615/6632*c_1001_3^5 - 983/3316*c_1001_3^4 - 8995/6632*c_1001_3^3 - 104/829*c_1001_3^2 + 2775/6632*c_1001_3 - 673/3316, c_0011_5 + 471/6632*c_1001_3^7 + 135/1658*c_1001_3^6 + 3349/6632*c_1001_3^5 + 113/1658*c_1001_3^4 - 2023/6632*c_1001_3^3 - 924/829*c_1001_3^2 - 821/6632*c_1001_3 - 68/829, c_0011_6 + 1209/6632*c_1001_3^7 + 1497/6632*c_1001_3^6 + 11131/6632*c_1001_3^5 + 7185/6632*c_1001_3^4 + 17111/6632*c_1001_3^3 + 9407/6632*c_1001_3^2 + 6341/6632*c_1001_3 + 5695/6632, c_0101_0 - 1, c_0101_1 + 9/3316*c_1001_3^7 + 21/1658*c_1001_3^6 - 633/3316*c_1001_3^5 - 757/3316*c_1001_3^4 - 5509/3316*c_1001_3^3 - 1028/829*c_1001_3^2 - 2339/3316*c_1001_3 - 945/3316, c_0101_11 + 1485/3316*c_1001_3^7 + 489/829*c_1001_3^6 + 3111/829*c_1001_3^5 + 7735/3316*c_1001_3^4 + 9547/3316*c_1001_3^3 + 325/829*c_1001_3^2 + 302/829*c_1001_3 + 1585/3316, c_0101_2 + 795/3316*c_1001_3^7 + 513/829*c_1001_3^6 + 3959/1658*c_1001_3^5 + 3248/829*c_1001_3^4 + 10219/3316*c_1001_3^3 + 2594/829*c_1001_3^2 + 505/829*c_1001_3 + 478/829, c_0101_7 + 939/6632*c_1001_3^7 + 237/6632*c_1001_3^6 + 5251/6632*c_1001_3^5 - 4923/6632*c_1001_3^4 - 9947/6632*c_1001_3^3 - 9821/6632*c_1001_3^2 - 4731/6632*c_1001_3 + 5859/6632, c_0101_8 - 174/829*c_1001_3^7 - 693/6632*c_1001_3^6 - 4933/3316*c_1001_3^5 + 2957/6632*c_1001_3^4 + 119/829*c_1001_3^3 + 8989/6632*c_1001_3^2 + 3753/3316*c_1001_3 - 573/6632, c_1001_0 + 819/6632*c_1001_3^7 + 1335/6632*c_1001_3^6 + 7059/6632*c_1001_3^5 + 7381/6632*c_1001_3^4 + 6029/6632*c_1001_3^3 + 7977/6632*c_1001_3^2 - 2283/6632*c_1001_3 - 1437/6632, c_1001_3^8 + 2*c_1001_3^7 + 28/3*c_1001_3^6 + 34/3*c_1001_3^5 + 34/3*c_1001_3^4 + 26/3*c_1001_3^3 + 20/3*c_1001_3^2 + 14/3*c_1001_3 + 11/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.170 Total time: 0.380 seconds, Total memory usage: 32.09MB