Magma V2.19-8 Tue Aug 20 2013 23:42:40 on localhost [Seed = 930173557] Type ? for help. Type -D to quit. Loading file "L13n4678__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4678 geometric_solution 10.11298991 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 1 1 0 -1 0 1 1 0 0 -1 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 2 1 -3 -2 0 0 2 1 -4 0 3 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.654200740432 1.914650968088 0 5 6 2 0132 0132 0132 3012 1 0 1 1 0 1 0 -1 -1 0 0 1 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 -4 0 4 2 0 0 -2 0 3 0 -3 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.170811031819 0.860677682960 7 0 1 8 0132 0132 1230 0132 0 1 1 1 0 1 -1 0 1 0 -1 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 -2 2 0 -3 0 3 0 0 4 0 -4 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.170811031819 0.860677682960 8 9 10 0 3012 0132 0132 0132 0 0 1 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 1 0 -1 0 0 0 0 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.459099073550 0.555152455366 9 6 0 10 3201 1230 0132 3201 0 0 0 1 0 0 -1 1 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 -1 3 -2 0 0 -2 2 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.459099073550 0.555152455366 7 1 9 8 1023 0132 1023 1230 1 0 1 1 0 -1 0 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 4 0 -4 0 0 -1 1 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.330246751647 0.729964477626 8 7 4 1 1230 1230 3012 0132 1 0 1 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 -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 0.699598509955 1.341634864772 2 5 6 9 0132 1023 3012 2310 0 1 1 1 0 0 0 0 -1 0 1 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 3 0 -3 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 0.330246751647 0.729964477626 5 6 2 3 3012 3012 0132 1230 0 1 0 1 0 0 0 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 0 0 0 4 0 0 -4 -1 1 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.699598509955 1.341634864772 7 3 5 4 3201 0132 1023 2310 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 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 1.744996279479 0.768618761456 10 4 10 3 2031 2310 1302 0132 0 0 0 0 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 0 0 0 0 2 -2 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.430177361967 0.919173160655 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_3'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_6']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0101_7'], 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_6']), 'c_1001_8' : negation(d['c_0011_6']), 'c_1010_10' : negation(d['c_0110_4']), 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_10' : negation(d['c_0011_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' : d['1'], 's_2_7' : d['1'], 's_2_10' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_3']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : negation(d['c_1001_2']), 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : negation(d['c_0011_10']), 'c_1100_3' : negation(d['c_0011_10']), 'c_1100_2' : d['c_0101_0'], 'c_1100_10' : negation(d['c_0011_10']), 'c_1010_7' : d['c_0011_8'], 'c_1010_6' : d['c_0101_7'], 'c_1010_5' : d['c_0101_7'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0110_4']), 'c_1010_8' : d['c_0101_3'], 'c_1100_8' : d['c_0101_0'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : d['c_0011_0'], '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_0110_10' : d['c_0101_3'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0011_8'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_8'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_2']), 'c_0101_8' : d['c_0101_7'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : d['c_0011_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_8'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0011_8'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0011_8']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_8, c_0101_0, c_0101_2, c_0101_3, c_0101_7, c_0110_4, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 4758074879921/7245176404032*c_0110_4^6 + 30302488583/213093423648*c_0110_4^5 + 417213567751825/2415058801344*c_0110_4^4 + 723079174483609/7245176404032*c_0110_4^3 - 667704746027747/3622588202016*c_0110_4^2 - 897938397807935/7245176404032*c_0110_4 + 785401578767825/3622588202016, c_0011_0 - 1, c_0011_10 - 26375/122749668*c_0110_4^6 + 143173/122749668*c_0110_4^5 - 554392/10229139*c_0110_4^4 + 34915427/122749668*c_0110_4^3 + 95700967/122749668*c_0110_4^2 - 16806217/30687417*c_0110_4 - 24516547/30687417, c_0011_3 + 1099303/634206618*c_0110_4^6 + 3052501/634206618*c_0110_4^5 + 48088199/105701103*c_0110_4^4 + 909792479/634206618*c_0110_4^3 - 214192031/634206618*c_0110_4^2 - 297043634/317103309*c_0110_4 + 232631365/317103309, c_0011_6 - 4055965/3805239708*c_0110_4^6 - 2305165/3805239708*c_0110_4^5 - 177469663/634206618*c_0110_4^4 - 980228687/3805239708*c_0110_4^3 + 1530055097/3805239708*c_0110_4^2 + 2264231291/1902619854*c_0110_4 - 579460337/951309927, c_0011_8 - 4055965/3805239708*c_0110_4^6 - 2305165/3805239708*c_0110_4^5 - 177469663/634206618*c_0110_4^4 - 980228687/3805239708*c_0110_4^3 + 1530055097/3805239708*c_0110_4^2 + 2264231291/1902619854*c_0110_4 - 579460337/951309927, c_0101_0 - 1, c_0101_2 - 2431435/1268413236*c_0110_4^6 - 3016231/1268413236*c_0110_4^5 - 17809279/35233701*c_0110_4^4 - 1014278537/1268413236*c_0110_4^3 + 31126739/1268413236*c_0110_4^2 + 928408006/317103309*c_0110_4 - 450072548/317103309, c_0101_3 - 24223/30687417*c_0110_4^6 + 180115/61374834*c_0110_4^5 - 2115965/10229139*c_0110_4^4 + 21486205/30687417*c_0110_4^3 + 45247729/61374834*c_0110_4^2 - 6799430/30687417*c_0110_4 - 23266934/30687417, c_0101_7 - 7178755/3805239708*c_0110_4^6 + 4034015/3805239708*c_0110_4^5 - 310993969/634206618*c_0110_4^4 + 350519707/3805239708*c_0110_4^3 + 8493916241/3805239708*c_0110_4^2 - 2987505055/1902619854*c_0110_4 - 457114772/951309927, c_0110_4^7 + 263*c_0110_4^5 + 95*c_0110_4^4 - 316*c_0110_4^3 - 131*c_0110_4^2 + 372*c_0110_4 - 68, c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB