Magma V2.19-8 Tue Aug 20 2013 23:53:08 on localhost [Seed = 1140993954] Type ? for help. Type -D to quit. Loading file "L13n4719__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4719 geometric_solution 11.21336915 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 0 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 0 0 -1 1 0 0 0 0 0 1 3 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.745055465975 1.293776762946 0 5 6 3 0132 0132 0132 1302 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 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 0.665739414850 0.580438098350 7 0 8 6 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 1 -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 1 -1 0 0 0 7 -7 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.368407399581 0.512606000461 9 9 1 0 0132 3201 2031 0132 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 0 0 0 0 0 0 0 0 0 1 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 0 0 0 0.171903204565 0.565037784676 8 5 0 5 1023 0321 0132 3012 1 1 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 -3 -1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.100214594606 0.865781649414 10 1 4 4 0132 0132 1230 0321 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 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 0.577084549572 0.555275969342 11 10 2 1 0132 2310 0132 0132 1 1 0 1 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 -7 0 7 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 0.954537251685 0.774710664047 2 11 9 8 0132 1230 1230 0132 1 1 0 1 0 0 0 0 0 0 1 -1 -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 8 -8 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.574171165840 0.905974114241 10 4 7 2 2031 1023 0132 0132 1 1 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 -1 1 -1 0 8 -7 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.131927128276 1.139755014431 3 11 3 7 0132 2310 2310 3012 1 1 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 0 0 1 -1 0 0 0 0 0 0 8 0 -8 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.099167437384 1.390673308037 5 11 8 6 0132 2103 1302 3201 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 -1 1 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 1.100214594606 0.865781649414 6 10 7 9 0132 2103 3012 3201 1 1 1 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 0 0 0 7 0 1 -8 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500921061439 0.787487470983 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_0']), 'c_1001_10' : d['c_0011_11'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0110_4'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0110_4'], 'c_1001_9' : negation(d['c_1001_0']), 'c_1001_8' : d['c_0101_1'], 'c_1010_11' : d['c_1001_0'], 'c_1010_10' : negation(d['c_1001_0']), 's_0_10' : negation(d['1']), 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : negation(d['c_0011_4']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0110_4'], 'c_1100_4' : negation(d['c_1001_5']), 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_1001_5']), 'c_1100_3' : negation(d['c_1001_5']), 'c_1100_2' : d['c_0101_3'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_3'], 'c_1100_10' : d['c_0011_11'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0110_4'], 'c_1010_9' : negation(d['c_0101_6']), 'c_1010_8' : d['c_0110_4'], 'c_1100_8' : d['c_0101_3'], 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_1_7' : negation(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' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_4'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_11']), '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_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0101_5'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0011_11'], 's_1_11' : negation(d['1']), 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_11'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_6, c_0110_4, c_1001_0, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 28434275467/61484272*c_1001_5^7 + 223476801341/122968544*c_1001_5^6 + 156254862385/491874176*c_1001_5^5 - 835227517521/491874176*c_1001_5^4 - 450659100999/122968544*c_1001_5^3 - 1073121447403/491874176*c_1001_5^2 - 1215496553937/491874176*c_1001_5 - 529748749935/491874176, c_0011_0 - 1, c_0011_11 + 21225208/3842767*c_1001_5^7 - 84771500/3842767*c_1001_5^6 - 8147569/3842767*c_1001_5^5 + 74289264/3842767*c_1001_5^4 + 162911557/3842767*c_1001_5^3 + 95947713/3842767*c_1001_5^2 + 115476737/3842767*c_1001_5 + 44774930/3842767, c_0011_3 - 31507216/3842767*c_1001_5^7 + 124951504/3842767*c_1001_5^6 + 15534378/3842767*c_1001_5^5 - 109184883/3842767*c_1001_5^4 - 247833284/3842767*c_1001_5^3 - 145945245/3842767*c_1001_5^2 - 172136583/3842767*c_1001_5 - 68683974/3842767, c_0011_4 - 25946896/3842767*c_1001_5^7 + 105160568/3842767*c_1001_5^6 + 3873766/3842767*c_1001_5^5 - 90482006/3842767*c_1001_5^4 - 199137836/3842767*c_1001_5^3 - 101432541/3842767*c_1001_5^2 - 131819494/3842767*c_1001_5 - 48809444/3842767, c_0101_0 - 1, c_0101_1 - 1, c_0101_3 + 19457352/3842767*c_1001_5^7 - 77664500/3842767*c_1001_5^6 - 8151535/3842767*c_1001_5^5 + 69775932/3842767*c_1001_5^4 + 152020674/3842767*c_1001_5^3 + 82413096/3842767*c_1001_5^2 + 100715175/3842767*c_1001_5 + 40632257/3842767, c_0101_5 + 19457352/3842767*c_1001_5^7 - 77664500/3842767*c_1001_5^6 - 8151535/3842767*c_1001_5^5 + 69775932/3842767*c_1001_5^4 + 152020674/3842767*c_1001_5^3 + 82413096/3842767*c_1001_5^2 + 104557942/3842767*c_1001_5 + 40632257/3842767, c_0101_6 + 4064424/3842767*c_1001_5^7 - 17570108/3842767*c_1001_5^6 + 4475577/3842767*c_1001_5^5 + 12462057/3842767*c_1001_5^4 + 24464262/3842767*c_1001_5^3 + 9541332/3842767*c_1001_5^2 + 26063405/3842767*c_1001_5 + 5880619/3842767, c_0110_4 + 19457352/3842767*c_1001_5^7 - 77664500/3842767*c_1001_5^6 - 8151535/3842767*c_1001_5^5 + 69775932/3842767*c_1001_5^4 + 152020674/3842767*c_1001_5^3 + 82413096/3842767*c_1001_5^2 + 104557942/3842767*c_1001_5 + 40632257/3842767, c_1001_0 - 19457352/3842767*c_1001_5^7 + 77664500/3842767*c_1001_5^6 + 8151535/3842767*c_1001_5^5 - 69775932/3842767*c_1001_5^4 - 152020674/3842767*c_1001_5^3 - 82413096/3842767*c_1001_5^2 - 100715175/3842767*c_1001_5 - 40632257/3842767, c_1001_5^8 - 7/2*c_1001_5^7 - 19/8*c_1001_5^6 + 27/8*c_1001_5^5 + 19/2*c_1001_5^4 + 65/8*c_1001_5^3 + 59/8*c_1001_5^2 + 37/8*c_1001_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.160 Total time: 0.370 seconds, Total memory usage: 32.09MB