Magma V2.19-8 Tue Aug 20 2013 16:15:52 on localhost [Seed = 543276058] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0098 geometric_solution 3.63178944 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.771036541973 0.047256070628 0 3 0 3 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.412535536418 0.230374518900 0 0 2 2 3201 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.620164931311 0.029643497784 4 1 5 1 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.936728429878 7.628524600527 3 5 6 6 0132 3201 0213 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.205773111150 0.402885475291 6 6 4 3 0132 1302 2310 0132 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 1 0 -1 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.205773111150 0.402885475291 5 4 4 5 0132 0213 0132 2031 0 0 0 0 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 1 0 -1 0 0 0 0 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.001404379447 0.507979879599 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : negation(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_0_6' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_5'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0011_5']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_5']), 'c_1010_0' : negation(d['c_0110_2'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_5, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 13346842503775554/3398050171*c_0110_2^17 - 174381647988601531/13592200684*c_0110_2^16 + 263918817080239277/27184401368*c_0110_2^15 + 1927481526620999/136605032*c_0110_2^14 - 1798538294398414049/27184401368*c_0110_2^13 + 2417541454246127545/13592200684*c_0110_2^12 + 735364673790294748/3398050171*c_0110_2^11 - 18638991100209149807/27184401368*c_0110_2^10 - 13891198951553335/76360678*c_0110_2^9 + 29630235778066304903/27184401368*c_0110_2^8 - 936297232528309895/3398050171*c_0110_2^7 - 20109182220283627409/27184401368*c_0110_2^6 + 1749089754286322593/3398050171*c_0110_2^5 + 1832645301286785727/27184401368*c_0110_2^4 - 669486279299401942/3398050171*c_0110_2^3 + 296892520124131364/3398050171*c_0110_2^2 - 458467697912962355/27184401368*c_0110_2 + 34095396357880051/27184401368, c_0011_0 - 1, c_0011_5 + 38786956256/191861*c_0110_2^17 + 126353191684/191861*c_0110_2^16 - 97126577604/191861*c_0110_2^15 - 139054101924/191861*c_0110_2^14 + 654680320314/191861*c_0110_2^13 - 1761497369208/191861*c_0110_2^12 - 2123969094358/191861*c_0110_2^11 + 6795244543368/191861*c_0110_2^10 + 1748133724485/191861*c_0110_2^9 - 10800615044948/191861*c_0110_2^8 + 2798564119275/191861*c_0110_2^7 + 7315619027166/191861*c_0110_2^6 - 5142215602836/191861*c_0110_2^5 - 647655584817/191861*c_0110_2^4 + 1959593013476/191861*c_0110_2^3 - 873607647456/191861*c_0110_2^2 + 169226751380/191861*c_0110_2 - 12618983356/191861, c_0101_0 + 8*c_0110_2^17 + 23*c_0110_2^16 - 30*c_0110_2^15 - 21*c_0110_2^14 + 146*c_0110_2^13 - 415*c_0110_2^12 - 299*c_0110_2^11 + 1569*c_0110_2^10 - 176*c_0110_2^9 - 2365*c_0110_2^8 + 1430*c_0110_2^7 + 1287*c_0110_2^6 - 1638*c_0110_2^5 + 273*c_0110_2^4 + 455*c_0110_2^3 - 335*c_0110_2^2 + 105*c_0110_2 - 15, c_0101_1 + 2658679888/191861*c_0110_2^17 + 9980221134/191861*c_0110_2^16 - 1818956889/191861*c_0110_2^15 - 10850979081/191861*c_0110_2^14 + 39603710115/191861*c_0110_2^13 - 100638181657/191861*c_0110_2^12 - 197256255646/191861*c_0110_2^11 + 372350636133/191861*c_0110_2^10 + 312641114544/191861*c_0110_2^9 - 601778154725/191861*c_0110_2^8 - 118725669726/191861*c_0110_2^7 + 469232987877/191861*c_0110_2^6 - 116837730165/191861*c_0110_2^5 - 122621438049/191861*c_0110_2^4 + 80186948278/191861*c_0110_2^3 - 15439796849/191861*c_0110_2^2 + 120632459/191861*c_0110_2 + 181450280/191861, c_0101_3 - 4256*c_0110_2^17 - 12956*c_0110_2^16 + 13794*c_0110_2^15 + 13588*c_0110_2^14 - 75445*c_0110_2^13 + 207922*c_0110_2^12 + 194687*c_0110_2^11 - 802964*c_0110_2^10 - 43575*c_0110_2^9 + 1255491*c_0110_2^8 - 547367*c_0110_2^7 - 784828*c_0110_2^6 + 740791*c_0110_2^5 - 14690*c_0110_2^4 - 248261*c_0110_2^3 + 135632*c_0110_2^2 - 30912*c_0110_2 + 2715, c_0101_5 - 14056871856/191861*c_0110_2^17 - 47379198810/191861*c_0110_2^16 + 29494409772/191861*c_0110_2^15 + 52450214600/191861*c_0110_2^14 - 230868632156/191861*c_0110_2^13 + 613753932734/191861*c_0110_2^12 + 833523993386/191861*c_0110_2^11 - 2354231907780/191861*c_0110_2^10 - 875186625031/191861*c_0110_2^9 + 3761056272060/191861*c_0110_2^8 - 623513884971/191861*c_0110_2^7 - 2633677161814/191861*c_0110_2^6 + 1569594375993/191861*c_0110_2^5 + 345794893299/191861*c_0110_2^4 - 645803393057/191861*c_0110_2^3 + 258094139928/191861*c_0110_2^2 - 45426741978/191861*c_0110_2 + 3058739025/191861, c_0110_2^18 + 23/8*c_0110_2^17 - 15/4*c_0110_2^16 - 21/8*c_0110_2^15 + 73/4*c_0110_2^14 - 415/8*c_0110_2^13 - 299/8*c_0110_2^12 + 1569/8*c_0110_2^11 - 22*c_0110_2^10 - 2365/8*c_0110_2^9 + 715/4*c_0110_2^8 + 1287/8*c_0110_2^7 - 819/4*c_0110_2^6 + 273/8*c_0110_2^5 + 455/8*c_0110_2^4 - 335/8*c_0110_2^3 + 13*c_0110_2^2 - 2*c_0110_2 + 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB