Magma V2.19-8 Tue Aug 20 2013 23:53:15 on localhost [Seed = 3835858701] Type ? for help. Type -D to quit. Loading file "L13n4941__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4941 geometric_solution 10.85465796 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 3 0132 0132 0132 3120 1 0 1 1 0 1 0 -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 8 0 -8 1 0 -1 0 -8 0 0 8 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.268513868077 0.706881039289 0 2 4 4 0132 1230 2103 0132 1 0 1 1 0 0 0 0 0 0 1 -1 -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 -1 1 0 -1 0 1 0 -7 7 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.561931271692 0.451949574280 5 0 1 6 0132 0132 3012 0132 1 1 1 1 0 -1 1 0 0 0 0 0 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -8 8 0 -1 0 1 0 0 7 0 -7 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.328719820278 1.825899190171 0 5 4 0 3120 0132 0132 0132 1 0 1 1 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 -1 1 -8 8 0 0 8 -7 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.706918750772 0.683140034283 1 6 1 3 2103 2310 0132 0132 1 0 1 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 -1 0 0 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 -0.080584752753 0.869091726307 2 3 7 8 0132 0132 0132 0132 1 1 1 1 0 0 0 0 0 0 0 0 -1 1 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 1 0 -1 0 -7 7 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.576584900271 0.786796266162 9 7 2 4 0132 0132 0132 3201 1 1 1 1 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 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.004806589168 0.707518242367 10 6 8 5 0132 0132 3201 0132 1 1 1 1 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 -1 1 8 0 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.172487686887 0.887567355537 7 11 5 11 2310 0132 0132 2310 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 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 0.128314558729 1.321453773804 6 10 11 11 0132 0132 1230 3012 1 1 1 1 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 7 -8 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.083337717592 1.733763775695 7 9 10 10 0132 0132 1230 3012 1 1 1 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 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.208095334420 0.876181921684 8 8 9 9 3201 0132 1230 3012 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 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 0.518199815730 0.381066315079 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_11']), 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0101_2'], 'c_1001_7' : negation(d['c_0101_2']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_9']), 'c_1001_2' : d['c_0011_0'], 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : negation(d['c_0101_9']), 'c_1010_11' : negation(d['c_0101_9']), 'c_1010_10' : negation(d['c_0101_10']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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_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_0110_11'], 'c_1100_8' : d['c_0011_11'], 'c_1100_5' : d['c_0011_11'], 'c_1100_4' : negation(d['c_0101_3']), 'c_1100_7' : d['c_0011_11'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_3']), 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : negation(d['c_0011_4']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : d['c_0101_11'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_0'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_9']), 'c_1010_4' : negation(d['c_0101_9']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : negation(d['c_0110_11']), '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'], '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' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_11'], 'c_0110_0' : d['c_0101_0'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : negation(d['c_0101_11']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_10'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_9']})} 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_10, c_0011_11, c_0011_4, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0101_9, c_0110_11, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 263744233/3235176*c_1001_0^8 + 1489226861/1617588*c_1001_0^7 - 13991298719/3235176*c_1001_0^6 + 18306852461/1617588*c_1001_0^5 - 30478307767/1617588*c_1001_0^4 + 22865501875/1078392*c_1001_0^3 - 51697705139/3235176*c_1001_0^2 + 3566424809/462168*c_1001_0 - 2638552235/1617588, c_0011_0 - 1, c_0011_10 - c_1001_0^8 + 11*c_1001_0^7 - 51*c_1001_0^6 + 133*c_1001_0^5 - 221*c_1001_0^4 + 248*c_1001_0^3 - 188*c_1001_0^2 + 92*c_1001_0 - 21, c_0011_11 - 2*c_1001_0^8 + 21*c_1001_0^7 - 93*c_1001_0^6 + 234*c_1001_0^5 - 381*c_1001_0^4 + 423*c_1001_0^3 - 318*c_1001_0^2 + 153*c_1001_0 - 34, c_0011_4 + 2*c_1001_0^8 - 23*c_1001_0^7 + 110*c_1001_0^6 - 293*c_1001_0^5 + 496*c_1001_0^4 - 567*c_1001_0^3 + 435*c_1001_0^2 - 213*c_1001_0 + 48, c_0101_0 - 1, c_0101_10 - c_1001_0^8 + 11*c_1001_0^7 - 51*c_1001_0^6 + 133*c_1001_0^5 - 221*c_1001_0^4 + 248*c_1001_0^3 - 187*c_1001_0^2 + 90*c_1001_0 - 20, c_0101_11 + c_1001_0^7 - 9*c_1001_0^6 + 33*c_1001_0^5 - 68*c_1001_0^4 + 91*c_1001_0^3 - 80*c_1001_0^2 + 46*c_1001_0 - 13, c_0101_2 + 2*c_1001_0^8 - 23*c_1001_0^7 + 110*c_1001_0^6 - 293*c_1001_0^5 + 496*c_1001_0^4 - 567*c_1001_0^3 + 435*c_1001_0^2 - 214*c_1001_0 + 49, c_0101_3 - c_1001_0 + 1, c_0101_9 + c_1001_0^2 - 2*c_1001_0 + 1, c_0110_11 - 2*c_1001_0^7 + 17*c_1001_0^6 - 59*c_1001_0^5 + 116*c_1001_0^4 - 149*c_1001_0^3 + 125*c_1001_0^2 - 68*c_1001_0 + 17, c_1001_0^9 - 12*c_1001_0^8 + 61*c_1001_0^7 - 176*c_1001_0^6 + 328*c_1001_0^5 - 421*c_1001_0^4 + 377*c_1001_0^3 - 231*c_1001_0^2 + 86*c_1001_0 - 14 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.330 seconds, Total memory usage: 32.09MB