Magma V2.19-8 Wed Aug 21 2013 01:12:10 on localhost [Seed = 3886152178] Type ? for help. Type -D to quit. Loading file "L14n58727__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n58727 geometric_solution 11.49863688 oriented_manifold CS_known 0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 3012 2 2 2 0 0 1 0 -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 2 0 -2 1 0 0 -1 0 1 0 -1 -4 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.954846815215 0.724204970880 0 4 6 5 0132 0132 0132 0132 2 2 0 2 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 1 -1 0 -1 0 1 0 4 -3 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.799509255289 0.544256887330 7 0 0 8 0132 0132 1230 0132 2 2 0 2 0 -1 0 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 -2 1 1 0 0 1 -1 1 -1 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.335159932731 0.504248926513 9 4 7 0 0132 2031 1230 0132 2 2 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 0 0 0 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.335159932731 0.504248926513 3 1 7 8 1302 0132 2310 0321 2 0 2 0 0 -1 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.148437090720 0.307918710183 9 9 1 10 2103 1302 0132 0132 2 2 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 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.396719382260 0.880368134201 11 8 11 1 0132 0321 1023 0132 2 2 2 2 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 -1 0 1 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 1.042351291874 1.051230985929 2 4 12 3 0132 3201 0132 3012 0 2 2 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 3 -3 0 0 0 0 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.954846815215 0.724204970880 10 4 2 6 3012 0321 0132 0321 2 2 2 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 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 0.595967701017 1.617827927028 3 12 5 5 0132 3120 2103 2031 1 2 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 0 1 0 0 0 0 0 -1 0 1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.396719382260 0.880368134201 12 12 5 8 2103 1023 0132 1230 2 2 0 1 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 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.396719382260 0.880368134201 6 11 6 11 0132 1302 1023 2031 2 2 2 2 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.492501970499 0.212987879307 10 9 10 7 1023 3120 2103 0132 0 2 0 1 0 1 0 -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 -3 0 3 0 0 0 0 0 1 0 -1 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.574533697698 0.944161015247 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_6'], 'c_1001_10' : d['c_0101_10'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_7' : d['c_0011_3'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0011_8'], 'c_1001_2' : negation(d['c_0101_2']), 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_0011_0'], 'c_1010_12' : d['c_0011_3'], 'c_1010_11' : d['c_0011_11'], 'c_1010_10' : d['c_0101_7'], 's_0_10' : d['1'], 's_0_11' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 'c_0101_12' : d['c_0101_10'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : negation(d['1']), 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_10']), 'c_1100_8' : d['c_0101_1'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : d['c_0011_11'], 'c_1100_4' : d['c_0011_0'], 'c_1100_7' : negation(d['c_0011_8']), 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : d['c_0011_11'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_1'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : d['c_0011_11'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_3']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0101_2']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_1001_1'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_8']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(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_8'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0110_6' : d['c_0101_1'], '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_0011_8'], 'c_0110_12' : d['c_0101_7'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], '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_0101_7'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0011_11'], '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_0101_7'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0011_8']), 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10'], 's_2_9' : d['1']})} 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_3, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_0101_6, c_0101_7, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 16187/7258*c_1001_1^5 - 208807/116128*c_1001_1^4 + 1531813/116128*c_1001_1^3 - 1065693/58064*c_1001_1^2 + 369867/14516*c_1001_1 - 28871/7258, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 1745/105241*c_1001_1^5 - 133883/1683856*c_1001_1^4 - 38191/420964*c_1001_1^3 + 78295/105241*c_1001_1^2 - 102610/105241*c_1001_1 + 65067/105241, c_0011_3 + 18756/105241*c_1001_1^5 - 160011/420964*c_1001_1^4 - 718617/420964*c_1001_1^3 + 1893119/420964*c_1001_1^2 - 484718/105241*c_1001_1 + 301804/105241, c_0011_8 + 38495/105241*c_1001_1^5 + 829163/1683856*c_1001_1^4 - 788221/420964*c_1001_1^3 + 358387/210482*c_1001_1^2 - 388857/105241*c_1001_1 - 51253/105241, c_0101_0 - 29080/105241*c_1001_1^5 - 33515/210482*c_1001_1^4 + 1321437/841928*c_1001_1^3 - 584625/210482*c_1001_1^2 + 961403/210482*c_1001_1 - 120873/105241, c_0101_1 - 1, c_0101_10 + 28853/210482*c_1001_1^5 + 414841/3367712*c_1001_1^4 - 346707/420964*c_1001_1^3 + 187893/210482*c_1001_1^2 - 247071/210482*c_1001_1 + 17425/105241, c_0101_2 + 38495/210482*c_1001_1^5 + 829163/3367712*c_1001_1^4 - 788221/841928*c_1001_1^3 + 358387/420964*c_1001_1^2 - 388857/210482*c_1001_1 - 78247/105241, c_0101_3 + 38495/105241*c_1001_1^5 + 829163/1683856*c_1001_1^4 - 788221/420964*c_1001_1^3 + 358387/210482*c_1001_1^2 - 388857/105241*c_1001_1 - 51253/105241, c_0101_6 - 10478/105241*c_1001_1^5 + 33341/841928*c_1001_1^4 + 318399/420964*c_1001_1^3 - 549775/420964*c_1001_1^2 + 156568/105241*c_1001_1 - 93010/105241, c_0101_7 + 29080/105241*c_1001_1^5 + 33515/210482*c_1001_1^4 - 1321437/841928*c_1001_1^3 + 584625/210482*c_1001_1^2 - 961403/210482*c_1001_1 + 120873/105241, c_1001_1^6 - 11/16*c_1001_1^5 - 31/4*c_1001_1^4 + 33/2*c_1001_1^3 - 20*c_1001_1^2 + 14*c_1001_1 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB