Magma V2.19-8 Tue Aug 20 2013 16:19:27 on localhost [Seed = 1680210264] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3543 geometric_solution 6.92530603 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 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 -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 0.359111547197 0.902423808759 0 5 2 6 0132 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.490070605599 1.038443520151 6 0 3 1 3120 0132 1023 3012 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 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 0.177872625981 0.944219562368 5 4 2 0 2103 3012 1023 0132 0 0 0 0 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 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 0.668948174926 1.129730159661 3 6 0 5 1230 3012 0132 0213 0 0 0 0 0 0 -1 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 -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 0.611929921584 0.655378829155 6 1 3 4 1302 0132 2103 0213 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 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 0.359111547197 0.902423808759 4 5 1 2 1230 2031 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.807328101582 1.022780062990 ==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' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : d['c_1001_1'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : negation(d['c_1001_1']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0011_6']), '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_0011_4'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0011_6'])})} 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_6, c_0101_0, c_0101_1, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 2152909/222525*c_1001_1^7 - 2837747/222525*c_1001_1^6 - 1211173/445050*c_1001_1^5 - 17767969/445050*c_1001_1^4 - 7368584/222525*c_1001_1^3 - 9870116/222525*c_1001_1^2 - 575171/49450*c_1001_1 - 934382/222525, c_0011_0 - 1, c_0011_3 + 3014/345*c_1001_1^7 - 902/345*c_1001_1^6 + 1795/138*c_1001_1^5 + 4306/345*c_1001_1^4 + 13553/690*c_1001_1^3 + 4717/345*c_1001_1^2 + 1421/230*c_1001_1 + 197/690, c_0011_4 - 2651/575*c_1001_1^7 - 913/575*c_1001_1^6 - 6907/1150*c_1001_1^5 - 13331/1150*c_1001_1^4 - 7976/575*c_1001_1^3 - 8154/575*c_1001_1^2 - 9041/1150*c_1001_1 - 1143/575, c_0011_6 - 27401/3450*c_1001_1^7 - 6193/3450*c_1001_1^6 - 16823/1725*c_1001_1^5 - 30449/1725*c_1001_1^4 - 79351/3450*c_1001_1^3 - 35267/1725*c_1001_1^2 - 5878/575*c_1001_1 - 3269/1725, c_0101_0 - 9163/1150*c_1001_1^7 + 1023/575*c_1001_1^6 - 7009/575*c_1001_1^5 - 6727/575*c_1001_1^4 - 11594/575*c_1001_1^3 - 15037/1150*c_1001_1^2 - 8799/1150*c_1001_1 - 599/1150, c_0101_1 + 10648/1725*c_1001_1^7 + 2563/3450*c_1001_1^6 + 15488/1725*c_1001_1^5 + 40723/3450*c_1001_1^4 + 31898/1725*c_1001_1^3 + 53149/3450*c_1001_1^2 + 9941/1150*c_1001_1 + 2144/1725, c_1001_1^8 + 17/11*c_1001_1^6 + 20/11*c_1001_1^5 + 32/11*c_1001_1^4 + 26/11*c_1001_1^3 + 16/11*c_1001_1^2 + 4/11*c_1001_1 + 1/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB