Magma V2.19-8 Wed Aug 21 2013 01:00:43 on localhost [Seed = 3835887605] Type ? for help. Type -D to quit. Loading file "L13n9799__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n9799 geometric_solution 12.73802309 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 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 0 0 0 0 0 0 0 0 -4 -1 5 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 0.446058732246 0.630603789108 0 5 6 5 0132 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 -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 0.870500332886 0.744613898800 2 0 2 6 2310 0132 3201 0132 1 1 1 1 0 -1 1 0 -1 0 1 0 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 -4 0 4 0 -4 0 4 0 0 -4 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.701060674728 1.166876130665 7 8 8 0 0132 0132 1302 0132 1 1 1 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 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.591205803323 0.901764325003 9 9 0 9 0132 1230 0132 2031 1 1 0 1 0 0 1 -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 1 -5 4 0 0 0 0 2 1 0 -3 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.439587922222 1.117274104895 1 1 10 11 3201 0132 0132 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 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 0.429497618486 0.539103356941 9 8 2 1 3120 0213 0132 0132 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 -1 0 0 1 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.446058732246 0.630603789108 3 11 12 11 0132 3120 0132 1023 1 1 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 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 0.244343520507 1.069947358594 3 3 6 12 2031 0132 0213 2031 1 1 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 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 0.491524747279 0.775575680200 4 4 4 6 0132 1302 3012 3120 1 1 1 0 0 0 1 -1 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 -4 4 0 0 -1 1 4 -4 0 0 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.695056510898 0.775056471314 12 11 12 5 0213 3012 1023 0132 1 1 1 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 1 0 -1 -3 -1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.244343520507 1.069947358594 10 7 5 7 1230 3120 0132 1023 1 1 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 -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 0 0 0 0.244343520507 1.069947358594 10 8 10 7 0213 1302 1023 0132 1 1 1 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 1 0 -1 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 0.244343520507 1.069947358594 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_0011_10'], 'c_1001_12' : d['c_0011_12'], 'c_1001_5' : negation(d['c_0101_11']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_7' : negation(d['c_1001_1']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_12'], 'c_1001_2' : negation(d['c_0101_2']), 'c_1001_9' : negation(d['c_0011_4']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_1001_1']), 'c_1010_11' : d['c_0011_3'], 'c_1010_10' : negation(d['c_0101_11']), 's_0_10' : negation(d['1']), 's_3_10' : negation(d['1']), 's_0_12' : negation(d['1']), 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_10'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_12'], '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' : negation(d['1']), 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : negation(d['c_0011_10']), 'c_1100_8' : d['c_1001_1'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_10'], 'c_1100_4' : d['c_0011_6'], 'c_1100_7' : negation(d['c_1100_10']), 'c_1100_6' : d['c_0011_0'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_10'], 'c_1100_10' : d['c_1100_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_11']), 'c_1010_0' : negation(d['c_0101_2']), 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : d['c_0011_12'], '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' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1100_10']), 's_1_7' : 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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), '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_11' : d['c_0011_10'], 'c_0110_10' : negation(d['c_0101_0']), 'c_0110_12' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_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' : negation(d['c_0011_4']), 'c_0101_8' : d['c_0011_6'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0011_12'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_2'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0011_4']), 'c_0110_7' : d['c_0011_3'], '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_12, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_1001_0, c_1001_1, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 10000257654541713/1955111810061568*c_1100_10^7 + 12263964337137429/1955111810061568*c_1100_10^6 - 805981783697267/977555905030784*c_1100_10^5 - 1054227242165803/488777952515392*c_1100_10^4 - 95885096915565415/1955111810061568*c_1100_10^3 - 25033666180563645/1955111810061568*c_1100_10^2 + 180454277675752105/1955111810061568*c_1100_10 - 304478315843645483/1955111810061568, c_0011_0 - 1, c_0011_10 - 16581446973/353163260488*c_1100_10^7 + 11002465753/353163260488*c_1100_10^6 - 4478818585/176581630244*c_1100_10^5 - 1022249281/88290815122*c_1100_10^4 - 129108628251/353163260488*c_1100_10^3 - 220085171213/353163260488*c_1100_10^2 + 172866198945/353163260488*c_1100_10 - 677734271395/353163260488, c_0011_12 - 1, c_0011_3 - 1, c_0011_4 - 1, c_0011_6 + 74480302/44145407561*c_1100_10^7 - 5247038712/44145407561*c_1100_10^6 + 6965350991/44145407561*c_1100_10^5 - 3930638433/44145407561*c_1100_10^4 + 14588383619/44145407561*c_1100_10^3 - 56534115718/44145407561*c_1100_10^2 + 28754877933/44145407561*c_1100_10 - 4705377960/44145407561, c_0101_0 - 954188287/353163260488*c_1100_10^7 - 4690605473/353163260488*c_1100_10^6 + 2376240899/176581630244*c_1100_10^5 - 363863098/44145407561*c_1100_10^4 - 36185398121/353163260488*c_1100_10^3 - 16135594795/353163260488*c_1100_10^2 + 151644927059/353163260488*c_1100_10 + 18888783127/353163260488, c_0101_1 + 31154373289/706326520976*c_1100_10^7 - 9804900973/706326520976*c_1100_10^6 - 559671281/353163260488*c_1100_10^5 - 6173564475/176581630244*c_1100_10^4 + 221824553687/706326520976*c_1100_10^3 + 260917177429/706326520976*c_1100_10^2 - 262298567273/706326520976*c_1100_10 + 873996620739/706326520976, c_0101_11 + 399152585/176581630244*c_1100_10^7 + 5322255651/176581630244*c_1100_10^6 + 297125849/88290815122*c_1100_10^5 - 8947564625/88290815122*c_1100_10^4 + 34552570101/176581630244*c_1100_10^3 + 44528158519/176581630244*c_1100_10^2 + 54436556359/176581630244*c_1100_10 - 100886005603/176581630244, c_0101_2 + 32346058121/706326520976*c_1100_10^7 - 93757520365/706326520976*c_1100_10^6 + 55163136647/353163260488*c_1100_10^5 - 21896118207/176581630244*c_1100_10^4 + 455238691591/706326520976*c_1100_10^3 - 643628674059/706326520976*c_1100_10^2 + 197779479655/706326520976*c_1100_10 + 798710573379/706326520976, c_1001_0 + 1550030703/353163260488*c_1100_10^7 - 37285704223/353163260488*c_1100_10^6 + 25485163065/176581630244*c_1100_10^5 - 3566775335/44145407561*c_1100_10^4 + 152892467073/353163260488*c_1100_10^3 - 436137330949/353163260488*c_1100_10^2 + 78394096405/353163260488*c_1100_10 - 56531806807/353163260488, c_1001_1 + 954188287/353163260488*c_1100_10^7 + 4690605473/353163260488*c_1100_10^6 - 2376240899/176581630244*c_1100_10^5 + 363863098/44145407561*c_1100_10^4 + 36185398121/353163260488*c_1100_10^3 + 16135594795/353163260488*c_1100_10^2 - 151644927059/353163260488*c_1100_10 - 18888783127/353163260488, c_1100_10^8 - 10/13*c_1100_10^7 - 5/13*c_1100_10^6 + 6/13*c_1100_10^5 + 127/13*c_1100_10^4 + 90/13*c_1100_10^3 - 218/13*c_1100_10^2 + 288/13*c_1100_10 + 173/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB