Magma V2.19-8 Wed Aug 21 2013 00:52:04 on localhost [Seed = 1781301050] Type ? for help. Type -D to quit. Loading file "L11n52__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n52 geometric_solution 11.49723398 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 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 3 -1 -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 0.728108114137 0.369473535486 0 5 6 4 0132 0132 0132 2031 1 1 1 1 0 0 -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 -3 3 0 0 -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 1.193955172137 0.793884184223 5 0 3 7 3012 0132 1302 0132 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 -3 3 0 -2 0 2 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.647801757360 0.480074266969 2 7 8 0 2031 0132 0132 0132 1 1 1 1 0 0 0 0 -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 0 -1 1 -3 0 3 0 1 -1 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.289745405961 0.953210200094 6 1 0 7 0132 1302 0132 0213 1 1 1 1 0 -1 1 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 -2 2 0 2 0 0 -2 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.619726787642 0.543794716870 9 1 10 2 0132 0132 0132 1230 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 -2 2 -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 1.130346948751 1.051364672276 4 11 8 1 0132 0132 2103 0132 1 1 1 1 0 0 -1 1 -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 -3 3 -2 0 0 2 0 0 0 0 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.514697413117 0.406185018775 11 3 2 4 2103 0132 0132 0213 1 1 1 1 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 -2 0 2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.476851880470 0.419664333611 6 9 9 3 2103 3201 3012 0132 1 1 1 1 0 0 0 0 0 0 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 -1 0 1 0 0 3 -3 3 -3 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.081370312038 0.969175399807 5 8 8 11 0132 1230 2310 0213 1 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 -3 3 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 0.081370312038 0.969175399807 12 12 12 5 0132 1302 3012 0132 1 1 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 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.467137465637 0.564744558490 12 6 7 9 2310 0132 2103 0213 1 1 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 0 0 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.965052525365 0.912341249289 10 10 11 10 0132 1230 3201 2031 1 1 0 1 0 0 0 0 0 0 -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 -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 0.883863305098 0.936746270967 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_3']), 'c_1001_10' : d['c_0011_10'], 'c_1001_12' : negation(d['c_0101_11']), 'c_1001_5' : d['c_0011_11'], 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : negation(d['c_1001_3']), 'c_1001_8' : d['c_0011_0'], 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_0011_8'], 'c_1010_10' : d['c_0011_11'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_10'], 's_2_0' : negation(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_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' : d['1'], 's_0_5' : negation(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_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0101_11'], 'c_1100_4' : d['c_1001_3'], 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_1001_3'], 'c_1100_3' : d['c_1001_3'], 'c_1100_2' : d['c_0101_3'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_8'], 'c_1100_11' : d['c_0101_6'], 'c_1100_10' : d['c_0101_11'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0011_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_0011_11'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : d['c_0101_6'], 'c_1010_8' : d['c_1001_3'], 'c_1100_8' : d['c_1001_3'], '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' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_0011_11']), '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' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_11']), '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_12']), 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_12'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_0']), 'c_0101_8' : d['c_0101_6'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0101_3'], '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_11'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0101_6'], 'c_0110_7' : negation(d['c_0101_6']), '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_3, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_3, c_0101_6, c_1001_0, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 8649472602415562752/912263786564065*c_1001_3^11 - 73508593522704384/182452757312813*c_1001_3^10 + 161547568465313792/912263786564065*c_1001_3^9 - 838904131268911104/912263786564065*c_1001_3^8 - 538611323746279424/182452757312813*c_1001_3^7 - 156479780817293312/912263786564065*c_1001_3^6 - 65244985627017216/912263786564065*c_1001_3^5 - 235491144020036608/912263786564065*c_1001_3^4 - 294760759837341696/912263786564065*c_1001_3^3 + 87671262985035264/912263786564065*c_1001_3^2 - 26925865100499712/912263786564065*c_1001_3 + 8914129596177536/912263786564065, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + 512*c_1001_3^11 + 768/5*c_1001_3^10 + 192/5*c_1001_3^9 + 656/5*c_1001_3^7 + 224/5*c_1001_3^6 + 44/5*c_1001_3^5 + 4*c_1001_3^4 + 62/5*c_1001_3^3 - 18/5*c_1001_3^2 - 11/10*c_1001_3 - 13/10, c_0011_3 - 1792/5*c_1001_3^11 - 256/5*c_1001_3^10 + 128/5*c_1001_3^9 - 64/5*c_1001_3^8 - 512/5*c_1001_3^7 - 16*c_1001_3^6 - 4/5*c_1001_3^5 - 8/5*c_1001_3^4 - 8*c_1001_3^3 + 4*c_1001_3^2 + 3/10*c_1001_3 + 4/5, c_0011_8 - 1024/5*c_1001_3^11 - 512/5*c_1001_3^10 + 256/5*c_1001_3^9 - 128/5*c_1001_3^8 - 384/5*c_1001_3^7 - 32*c_1001_3^6 + 112/5*c_1001_3^5 - 16/5*c_1001_3^4 - 12*c_1001_3^3 + 13/5*c_1001_3 - 2/5, c_0101_0 + 1024/5*c_1001_3^11 + 128*c_1001_3^10 - 64/5*c_1001_3^9 - 32/5*c_1001_3^8 + 80*c_1001_3^7 + 184/5*c_1001_3^6 - 28/5*c_1001_3^5 - 4/5*c_1001_3^4 + 42/5*c_1001_3^3 + 7/5*c_1001_3^2 - 17/10*c_1001_3 - 2/5, c_0101_1 - 256/5*c_1001_3^11 + 128/5*c_1001_3^10 + 128/5*c_1001_3^9 - 32/5*c_1001_3^8 - 64/5*c_1001_3^7 + 88/5*c_1001_3^6 + 36/5*c_1001_3^5 - 4/5*c_1001_3^4 + 4/5*c_1001_3^3 + 19/5*c_1001_3^2 - 3/10*c_1001_3 - 1/5, c_0101_11 - 1536*c_1001_3^11 - 2304/5*c_1001_3^10 + 704/5*c_1001_3^9 - 2288/5*c_1001_3^7 - 672/5*c_1001_3^6 + 108/5*c_1001_3^5 - 12*c_1001_3^4 - 226/5*c_1001_3^3 + 54/5*c_1001_3^2 + 53/10*c_1001_3 + 19/10, c_0101_12 + 2048*c_1001_3^11 + 3072/5*c_1001_3^10 - 512/5*c_1001_3^9 + 2944/5*c_1001_3^7 + 896/5*c_1001_3^6 - 64/5*c_1001_3^5 + 16*c_1001_3^4 + 288/5*c_1001_3^3 - 72/5*c_1001_3^2 - 32/5*c_1001_3 - 16/5, c_0101_3 + 2048/5*c_1001_3^11 + 768/5*c_1001_3^10 - 256/5*c_1001_3^9 - 64/5*c_1001_3^8 + 576/5*c_1001_3^7 + 272/5*c_1001_3^6 - 32/5*c_1001_3^5 - 8/5*c_1001_3^4 + 56/5*c_1001_3^3 - 4/5*c_1001_3^2 - 2*c_1001_3 - 3/5, c_0101_6 + 4096/5*c_1001_3^11 + 512*c_1001_3^10 - 256/5*c_1001_3^9 - 128/5*c_1001_3^8 + 256*c_1001_3^7 + 736/5*c_1001_3^6 - 32/5*c_1001_3^5 - 16/5*c_1001_3^4 + 148/5*c_1001_3^3 + 8/5*c_1001_3^2 - 29/5*c_1001_3 - 8/5, c_1001_0 + 256/5*c_1001_3^11 - 128/5*c_1001_3^10 - 128/5*c_1001_3^9 + 32/5*c_1001_3^8 + 64/5*c_1001_3^7 - 88/5*c_1001_3^6 - 36/5*c_1001_3^5 + 4/5*c_1001_3^4 - 4/5*c_1001_3^3 - 19/5*c_1001_3^2 + 3/10*c_1001_3 + 1/5, c_1001_3^12 - 1/4*c_1001_3^10 + 5/16*c_1001_3^8 - 1/16*c_1001_3^6 + 1/32*c_1001_3^4 - 1/64*c_1001_3^3 - 1/256*c_1001_3^2 + 1/1024 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.860 Total time: 1.060 seconds, Total memory usage: 32.09MB