Magma V2.19-8 Tue Aug 20 2013 16:18:43 on localhost [Seed = 509576045] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2888 geometric_solution 6.09832261 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 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 1 -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 0.184393174810 0.875521813797 0 4 1 1 0132 3012 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 1 -1 0 0 1 -1 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.769663803809 1.093665014876 3 0 6 5 2031 0132 0132 0132 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.427770757819 1.086544143111 6 4 2 0 1302 2103 1302 0132 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 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 -0.859075647817 1.304111610407 1 3 0 6 1230 2103 0132 1230 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.569656120520 0.611503416198 6 5 2 5 2310 1302 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.028974541170 1.014389527215 4 3 5 2 3012 2031 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.427770757819 1.086544143111 ==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' : 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' : 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' : negation(d['c_0011_5']), 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_4'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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_0101_6']), 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_6']), 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_0011_3'], 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : negation(d['c_0101_6']), 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : negation(d['c_0101_6']), 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_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_4, c_0011_5, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 9491754988/461189*c_0101_6^8 + 62677258900/1383567*c_0101_6^7 + 72834054976/1383567*c_0101_6^6 - 12011884913/461189*c_0101_6^5 - 37935360872/461189*c_0101_6^4 - 83863883875/1383567*c_0101_6^3 + 77135488201/1844756*c_0101_6^2 + 54240615061/1383567*c_0101_6 + 105716154485/5534268, c_0011_0 - 1, c_0011_3 - 737632/461189*c_0101_6^8 + 1897544/461189*c_0101_6^7 + 1375200/461189*c_0101_6^6 - 1899104/461189*c_0101_6^5 - 2533954/461189*c_0101_6^4 - 931990/461189*c_0101_6^3 + 1822626/461189*c_0101_6^2 + 1638547/922378*c_0101_6 + 278759/922378, c_0011_4 + 761680/461189*c_0101_6^8 - 1503640/461189*c_0101_6^7 - 2288512/461189*c_0101_6^6 + 656940/461189*c_0101_6^5 + 2772082/461189*c_0101_6^4 + 2445858/461189*c_0101_6^3 - 1392027/461189*c_0101_6^2 - 2649027/922378*c_0101_6 - 817271/922378, c_0011_5 + 44436/461189*c_0101_6^8 - 8572/461189*c_0101_6^7 - 443056/461189*c_0101_6^6 + 543/461189*c_0101_6^5 + 1064138/461189*c_0101_6^4 + 131457/461189*c_0101_6^3 - 1401623/1844756*c_0101_6^2 - 1496193/922378*c_0101_6 - 689411/1844756, c_0101_1 - 924940/461189*c_0101_6^8 + 2209668/461189*c_0101_6^7 + 1706400/461189*c_0101_6^6 - 1166081/461189*c_0101_6^5 - 2632330/461189*c_0101_6^4 - 1704563/461189*c_0101_6^3 + 6523073/1844756*c_0101_6^2 + 1704785/922378*c_0101_6 + 1901505/1844756, c_0101_2 + 737632/461189*c_0101_6^8 - 1897544/461189*c_0101_6^7 - 1375200/461189*c_0101_6^6 + 1899104/461189*c_0101_6^5 + 2533954/461189*c_0101_6^4 + 931990/461189*c_0101_6^3 - 1822626/461189*c_0101_6^2 - 1638547/922378*c_0101_6 - 278759/922378, c_0101_6^9 - 2*c_0101_6^8 - 3*c_0101_6^7 + 3/4*c_0101_6^6 + 17/4*c_0101_6^5 + 15/4*c_0101_6^4 - 23/16*c_0101_6^3 - 37/16*c_0101_6^2 - 21/16*c_0101_6 - 3/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB