Magma V2.19-8 Tue Aug 20 2013 16:18:37 on localhost [Seed = 661043733] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2802 geometric_solution 6.03339426 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0.214048959904 0.972847100482 0 4 5 0 0132 0132 0132 0213 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 -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 0.559655750332 1.317988576296 6 0 3 4 0132 0132 1023 3012 0 0 0 0 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 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 0.428671765083 0.564852478833 5 6 2 0 2031 2103 1023 0132 0 0 0 0 0 -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 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 1.268855082348 2.546402689282 6 1 2 6 3012 0132 1230 0132 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 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 0.664280024091 0.434001974432 5 5 3 1 1230 3012 1302 0132 0 0 0 0 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 -1 0 1 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 0.884058998233 1.764881315392 2 3 4 4 0132 2103 0132 1230 0 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 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 1.482012554897 1.002442321422 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : 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_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' : d['1'], 's_1_0' : d['1'], 's_0_6' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_6'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_0101_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : d['c_1001_4'], 'c_1100_3' : d['c_1001_4'], 'c_1100_2' : negation(d['c_1001_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], '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_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : d['c_1001_4'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0101_4']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : negation(d['c_0011_5']), 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0011_0'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0101_4']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0101_3']})} 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_3, c_0011_5, c_0101_3, c_0101_4, c_0101_6, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 1003082593584/10650008575*c_1001_4^11 - 256706377536/367241675*c_1001_4^10 + 2141410262144/2130001715*c_1001_4^9 + 109009282282624/10650008575*c_1001_4^8 + 51743950207299/2130001715*c_1001_4^7 + 8104456961460/426000343*c_1001_4^6 - 153488717074388/10650008575*c_1001_4^5 - 366365462513499/10650008575*c_1001_4^4 - 172638532209366/10650008575*c_1001_4^3 + 71416379476717/10650008575*c_1001_4^2 + 18648257326276/2130001715*c_1001_4 + 25372416547781/10650008575, c_0011_0 - 1, c_0011_3 + 2797028736/14689667*c_1001_4^11 - 1152507872/14689667*c_1001_4^10 - 29138335776/14689667*c_1001_4^9 - 74768114640/14689667*c_1001_4^8 - 49242491080/14689667*c_1001_4^7 + 69075030486/14689667*c_1001_4^6 + 111339770930/14689667*c_1001_4^5 + 20764076637/14689667*c_1001_4^4 - 45093947247/14689667*c_1001_4^3 - 24717989853/14689667*c_1001_4^2 + 2344076300/14689667*c_1001_4 + 3153407874/14689667, c_0011_5 - 1388294928/14689667*c_1001_4^11 + 1175024960/14689667*c_1001_4^10 + 14428149760/14689667*c_1001_4^9 + 30821856720/14689667*c_1001_4^8 + 6076545701/14689667*c_1001_4^7 - 51447414068/14689667*c_1001_4^6 - 46469486612/14689667*c_1001_4^5 + 16965430822/14689667*c_1001_4^4 + 36655145760/14689667*c_1001_4^3 + 7497887728/14689667*c_1001_4^2 - 8317458101/14689667*c_1001_4 - 3582030643/14689667, c_0101_3 - 2547990032/14689667*c_1001_4^11 + 632500144/14689667*c_1001_4^10 + 26540728880/14689667*c_1001_4^9 + 72488791072/14689667*c_1001_4^8 + 57839166789/14689667*c_1001_4^7 - 50457023207/14689667*c_1001_4^6 - 107290383891/14689667*c_1001_4^5 - 38455745111/14689667*c_1001_4^4 + 30592734536/14689667*c_1001_4^3 + 25864948297/14689667*c_1001_4^2 + 3035550049/14689667*c_1001_4 - 1406049740/14689667, c_0101_4 + 47136/1117*c_1001_4^11 - 147632/1117*c_1001_4^10 - 477360/1117*c_1001_4^9 + 72352/1117*c_1001_4^8 + 3011654/1117*c_1001_4^7 + 4665479/1117*c_1001_4^6 - 62649/1117*c_1001_4^5 - 5289224/1117*c_1001_4^4 - 3605504/1117*c_1001_4^3 + 612282/1117*c_1001_4^2 + 1488066/1117*c_1001_4 + 450387/1117, c_0101_6 + 4830319888/14689667*c_1001_4^11 - 3045522176/14689667*c_1001_4^10 - 49923863504/14689667*c_1001_4^9 - 118398602048/14689667*c_1001_4^8 - 56194652869/14689667*c_1001_4^7 + 141697811248/14689667*c_1001_4^6 + 173425939605/14689667*c_1001_4^5 - 4031007283/14689667*c_1001_4^4 - 93796600264/14689667*c_1001_4^3 - 33712308204/14689667*c_1001_4^2 + 13276823680/14689667*c_1001_4 + 7595402622/14689667, c_1001_4^12 - 11*c_1001_4^10 - 31*c_1001_4^9 - 389/16*c_1001_4^8 + 30*c_1001_4^7 + 987/16*c_1001_4^6 + 71/4*c_1001_4^5 - 507/16*c_1001_4^4 - 201/8*c_1001_4^3 + 1/2*c_1001_4^2 + 101/16*c_1001_4 + 29/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB