Magma V2.19-8 Tue Aug 20 2013 23:49:09 on localhost [Seed = 4290352496] Type ? for help. Type -D to quit. Loading file "L12n1465__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1465 geometric_solution 11.28460298 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1230 0132 0132 0 0 2 2 0 1 0 -1 -1 0 -1 2 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 1 0 0 -1 0 -1 0 1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.639441624925 0.833298740071 0 4 0 5 0132 0132 3012 0132 2 0 2 2 0 0 1 -1 1 0 -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 -3 3 -1 0 1 0 3 0 0 -3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.420413639078 0.755297380546 6 4 7 0 0132 1302 0132 0132 0 0 2 2 0 0 0 0 0 0 -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 4 -4 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.617114085454 0.505294797827 5 8 0 9 1230 0132 0132 0132 0 0 2 2 0 1 1 -2 0 0 -2 2 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 -1 1 0 0 1 -1 -1 0 0 1 -3 4 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.026453084827 0.837346916478 6 1 8 2 1023 0132 2103 2031 2 0 2 2 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 -4 4 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 0.450590841701 0.592134069037 6 3 1 8 2103 3012 0132 2103 2 0 0 2 0 -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 3 -3 0 0 0 0 0 0 0 0 0 -4 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.261496682331 0.792395792252 2 4 5 7 0132 1023 2103 0321 0 0 2 2 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 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.030083071293 0.889632477464 9 6 10 2 1230 0321 0132 0132 0 0 2 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 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 1.169909896755 0.954374300282 4 3 9 5 2103 0132 2103 2103 0 0 2 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 0 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.217969718263 0.776408070716 8 7 3 11 2103 3012 0132 0132 0 0 0 2 0 0 2 -2 0 0 -2 2 -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 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 1.169909896755 0.954374300282 11 11 11 7 1302 3012 0132 0132 0 0 0 1 0 0 0 0 0 0 0 0 2 -2 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 -1 1 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.518845265363 0.596528720376 10 10 9 10 1230 2031 0132 0132 0 0 1 0 0 -2 2 0 2 0 -2 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 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.518845265363 0.596528720376 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_7']), 'c_1001_11' : negation(d['c_0101_7']), 'c_1001_10' : d['c_0011_10'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0110_8'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0110_4'], 'c_1001_9' : negation(d['c_0011_7']), 'c_1001_8' : negation(d['c_0011_7']), 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0101_11']), 's_0_10' : negation(d['1']), 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(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' : 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_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0110_8']), 'c_1100_4' : negation(d['c_0110_8']), 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : negation(d['c_0110_8']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_4'], 'c_1010_6' : d['c_0110_4'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0011_7']), 'c_1010_2' : d['c_0110_8'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : negation(d['c_0101_7']), 'c_1010_8' : d['c_0101_1'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : negation(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_7']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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_0011_10'], 'c_0110_10' : d['c_0101_7'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_7']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_5'], 'c_0101_8' : d['c_0011_5'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0011_7']), 'c_1100_8' : negation(d['c_0101_11'])})} 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_3, c_0011_5, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_7, c_0110_4, c_0110_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 57807112976351/39541425733632*c_1100_0^6 - 17429296100043/6590237622272*c_1100_0^5 - 762023746765739/13180475244544*c_1100_0^4 - 101628801333020365/39541425733632*c_1100_0^3 + 58325733792459251/39541425733632*c_1100_0^2 + 2339172136220427/3295118811136*c_1100_0 - 1039230670680833/2471339108352, c_0011_0 - 1, c_0011_10 - 1, c_0011_3 + 264098059/14480502588*c_1100_0^6 - 45103929/1608944732*c_1100_0^5 - 3485479081/4826834196*c_1100_0^4 - 116833274405/3620125647*c_1100_0^3 + 33906648874/3620125647*c_1100_0^2 - 772022907/1608944732*c_1100_0 + 7221102383/3620125647, c_0011_5 + 735247595/57922010352*c_1100_0^6 - 61664379/3217889464*c_1100_0^5 - 9737813039/19307336784*c_1100_0^4 - 1301701503757/57922010352*c_1100_0^3 + 343566666083/57922010352*c_1100_0^2 + 1766692591/804472366*c_1100_0 + 4809718228/3620125647, c_0011_7 - 153059653/19307336784*c_1100_0^6 + 39583779/3217889464*c_1100_0^5 + 2016224401/6435778928*c_1100_0^4 + 270773697467/19307336784*c_1100_0^3 - 82382899765/19307336784*c_1100_0^2 + 289040522/402236183*c_1100_0 - 1070276282/1206708549, c_0101_0 - 1, c_0101_1 - 597213277/57922010352*c_1100_0^6 + 50624079/3217889464*c_1100_0^5 + 7893243121/19307336784*c_1100_0^4 + 1057011298079/57922010352*c_1100_0^3 - 295357682689/57922010352*c_1100_0^2 - 384139181/1608944732*c_1100_0 - 4010273537/3620125647, c_0101_11 - 574287103/57922010352*c_1100_0^6 + 45813313/3217889464*c_1100_0^5 + 7624411003/19307336784*c_1100_0^4 + 1018580371805/57922010352*c_1100_0^3 - 197172173971/57922010352*c_1100_0^2 - 2942716365/1608944732*c_1100_0 - 3051865532/3620125647, c_0101_7 - 574287103/57922010352*c_1100_0^6 + 45813313/3217889464*c_1100_0^5 + 7624411003/19307336784*c_1100_0^4 + 1018580371805/57922010352*c_1100_0^3 - 197172173971/57922010352*c_1100_0^2 - 4551661097/1608944732*c_1100_0 - 3051865532/3620125647, c_0110_4 + 735247595/57922010352*c_1100_0^6 - 61664379/3217889464*c_1100_0^5 - 9737813039/19307336784*c_1100_0^4 - 1301701503757/57922010352*c_1100_0^3 + 343566666083/57922010352*c_1100_0^2 + 1766692591/804472366*c_1100_0 + 4809718228/3620125647, c_0110_8 + 337289219/28961005176*c_1100_0^6 - 25770025/1608944732*c_1100_0^5 - 4487570495/9653668392*c_1100_0^4 - 598925672377/28961005176*c_1100_0^3 + 77504755967/28961005176*c_1100_0^2 + 1652786963/804472366*c_1100_0 + 3338795129/3620125647, c_1100_0^7 - 2*c_1100_0^6 - 39*c_1100_0^5 - 1751*c_1100_0^4 + 1337*c_1100_0^3 - 56*c_1100_0^2 + 32*c_1100_0 - 64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.230 seconds, Total memory usage: 32.09MB