Magma V2.19-8 Wed Aug 21 2013 00:10:28 on localhost [Seed = 4004020567] Type ? for help. Type -D to quit. Loading file "K13n2638__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n2638 geometric_solution 12.06661972 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 3201 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 1 0 -1 -5 0 6 -1 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.035140505001 0.683863205349 0 0 3 4 0132 2310 3120 0132 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 5 0 -5 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 0.327474816874 0.444302222924 4 0 6 5 1230 0132 0132 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 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 0.921140206900 0.501973042764 7 6 1 0 0132 0132 3120 0132 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 0 5 -6 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.597583351575 1.014127618588 7 2 1 8 2103 3012 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.111592379687 1.728059787470 9 10 2 11 0132 0132 0132 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 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 0.972416944192 1.479956897083 12 3 10 2 0132 0132 0132 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 1 -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 0.405572527375 0.750625367292 3 9 4 11 0132 1302 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.478655069176 0.873596106597 12 9 4 11 1023 3120 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.844276209881 0.912453253333 5 8 12 7 0132 3120 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.002912974519 0.707552528676 11 5 12 6 1302 0132 2031 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 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 0.475464150301 0.772706324002 7 10 5 8 3120 2031 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.678690963080 1.185321699565 6 8 9 10 0132 1023 1023 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.086165647346 0.979327806038 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_6']), 'c_1001_10' : negation(d['c_0101_6']), 'c_1001_12' : d['c_0101_11'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_0011_4'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : d['c_0101_12'], 'c_1001_8' : negation(d['c_0101_12']), 'c_1010_12' : d['c_0110_8'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_1001_0'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_11']), '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_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' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_9' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0110_8']), 'c_1100_4' : negation(d['c_0101_3']), 'c_1100_7' : negation(d['c_0101_11']), 'c_1100_6' : negation(d['c_0110_8']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0110_8']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0110_8']), 'c_1100_10' : negation(d['c_0110_8']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : negation(d['c_1001_1']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0101_12']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : negation(d['c_0011_12']), 'c_1010_8' : negation(d['c_0011_10']), 'c_1100_8' : negation(d['c_0101_3']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : 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' : d['1'], 'c_1100_12' : negation(d['c_0011_11']), 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_12'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_6'], 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_12']})} 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_12, c_0011_4, c_0101_0, c_0101_11, c_0101_12, c_0101_3, c_0101_6, c_0110_8, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 204953/105842*c_0110_8*c_1001_1^5 - 480220/158763*c_0110_8*c_1001_1^4 + 12033/52921*c_0110_8*c_1001_1^3 + 443457/105842*c_0110_8*c_1001_1^2 - 630764/158763*c_0110_8*c_1001_1 + 607745/317526*c_0110_8 - 48328/52921*c_1001_1^5 + 504553/158763*c_1001_1^4 - 212229/52921*c_1001_1^3 + 101152/52921*c_1001_1^2 - 13780/158763*c_1001_1 - 105670/158763, c_0011_0 - 1, c_0011_10 + c_0110_8*c_1001_1^3 - c_0110_8*c_1001_1 + c_0110_8 - c_1001_1^4 + c_1001_1^2 + c_1001_1 - 1, c_0011_11 + c_0110_8*c_1001_1^5 - c_0110_8*c_1001_1^3 + c_0110_8*c_1001_1 - c_1001_1^5 + c_1001_1^4 + c_1001_1^3 - 2*c_1001_1^2 + 1, c_0011_12 + c_1001_1^4 - c_1001_1^2 + 1, c_0011_4 + c_0110_8*c_1001_1^3 - c_0110_8*c_1001_1 + c_0110_8 - c_1001_1^4 + c_1001_1^2 - 1, c_0101_0 + c_1001_1, c_0101_11 - c_1001_1^5 + c_1001_1^4 + c_1001_1^3 - 2*c_1001_1^2 + 1, c_0101_12 - c_0110_8*c_1001_1^5 + c_0110_8*c_1001_1^3 - c_0110_8*c_1001_1 + c_1001_1^5 - c_1001_1^4 - c_1001_1^3 + c_1001_1^2, c_0101_3 - c_1001_1^2 + 1, c_0101_6 + c_0110_8 - c_1001_1^4 + c_1001_1^2 - 1, c_0110_8^2 - 2*c_1001_1^5 + 4*c_1001_1^3 - 2*c_1001_1^2 - 4*c_1001_1 + 2, c_1001_0 + c_1001_1^2 - 1, c_1001_1^6 - c_1001_1^5 - c_1001_1^4 + 2*c_1001_1^3 - c_1001_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 6.330 Total time: 6.530 seconds, Total memory usage: 32.09MB