Magma V2.19-8 Wed Aug 21 2013 00:55:02 on localhost [Seed = 1629977349] Type ? for help. Type -D to quit. Loading file "L12n880__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n880 geometric_solution 12.18295721 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 1 -2 1 -1 0 1 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 0.140663792958 0.757548066885 0 5 2 6 0132 0132 1023 0132 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 0 0 0 0 0 0 1 0 -1 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 0.292543653205 0.856113418389 4 0 1 5 0132 0132 1023 0132 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 0 0 0 -1 1 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 1.066995645043 1.759729451164 7 6 8 0 0132 0132 0132 0132 0 0 1 1 0 0 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 -2 2 1 0 0 -1 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.483743692630 0.566445999601 2 5 0 9 0132 1023 0132 0132 0 0 1 1 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.140663792958 0.757548066885 4 1 2 9 1023 0132 0132 1230 0 0 1 1 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 -2 0 0 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 0.292543653205 0.856113418389 10 3 1 11 0132 0132 0132 0132 0 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 0 0 0 0 0 0 0 0 0 0 -1 5 0 -4 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.743927507914 0.972223259242 3 8 10 9 0132 1023 0132 2031 0 0 1 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 0 0 0 0 0 0 2 -2 -1 0 0 1 -5 4 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.190841736189 0.891701630337 7 12 11 3 1023 0132 2103 0132 0 0 1 1 0 1 0 -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 -2 0 2 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 0.878775312786 0.841791880798 5 7 4 11 3012 1302 0132 2103 0 0 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 0 0 0 0 -1 1 0 0 0 0 0 -2 2 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.159363963041 0.919501265209 6 12 12 7 0132 1023 0132 0132 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 0 0 0 0 0 2 -2 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 0.253496181300 0.722744204178 8 12 6 9 2103 0213 0132 2103 0 0 0 1 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 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329400691461 0.694819606245 10 8 11 10 1023 0132 0213 0132 0 0 1 1 0 -1 0 1 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 2 0 -2 0 0 0 0 -1 0 0 1 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.967850481484 0.853241319968 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : d['c_1001_11'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_0011_9'], 'c_1001_8' : d['c_0011_11'], 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : d['c_1010_11'], 'c_1010_10' : d['c_0101_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_11'], 'c_0101_11' : d['c_0101_10'], '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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : 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' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0110_11']), 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : d['c_0110_9'], 'c_1100_4' : negation(d['c_0110_11']), 'c_1100_7' : d['c_1010_11'], 'c_1100_6' : negation(d['c_0110_9']), 'c_1100_1' : negation(d['c_0110_9']), 'c_1100_0' : negation(d['c_0110_11']), 'c_1100_3' : negation(d['c_0110_11']), 'c_1100_2' : d['c_0110_9'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0110_11']), 'c_1100_11' : negation(d['c_0110_9']), 'c_1100_10' : d['c_1010_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_9'], 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0011_9'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : negation(d['c_1010_11']), 'c_1010_8' : d['c_1001_11'], 's_3_1' : d['1'], 's_3_0' : negation(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'], 'c_1100_12' : d['c_1010_11'], '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' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : d['c_0101_10'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_9'], '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_2'], 'c_0101_8' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0011_9'], '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_1'], 'c_0110_5' : d['c_0011_9'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0011_9'], 'c_0110_6' : d['c_0101_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_9, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0110_11, c_0110_9, c_1001_0, c_1001_11, c_1010_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 4893897/89872*c_1010_11^14 + 50361/656*c_1010_11^13 - 19124113/44936*c_1010_11^12 - 40760257/89872*c_1010_11^11 + 63292263/44936*c_1010_11^10 + 15161079/22468*c_1010_11^9 - 120713801/44936*c_1010_11^8 + 53290383/89872*c_1010_11^7 + 262467581/89872*c_1010_11^6 - 208767077/89872*c_1010_11^5 - 21523697/22468*c_1010_11^4 + 177589691/89872*c_1010_11^3 - 31338089/44936*c_1010_11^2 - 5421181/11234*c_1010_11 + 8286505/44936, c_0011_0 - 1, c_0011_10 - 1/2*c_1010_11^14 - c_1010_11^13 + 9/2*c_1010_11^12 + 13/2*c_1010_11^11 - 37/2*c_1010_11^10 - 12*c_1010_11^9 + 44*c_1010_11^8 - 11/2*c_1010_11^7 - 56*c_1010_11^6 + 42*c_1010_11^5 + 45/2*c_1010_11^4 - 87/2*c_1010_11^3 + 29/2*c_1010_11^2 + 10*c_1010_11 - 7, c_0011_11 - 2*c_1010_11^14 - c_1010_11^13 + 16*c_1010_11^12 + 3*c_1010_11^11 - 50*c_1010_11^10 + 13*c_1010_11^9 + 76*c_1010_11^8 - 64*c_1010_11^7 - 48*c_1010_11^6 + 87*c_1010_11^5 - 14*c_1010_11^4 - 42*c_1010_11^3 + 28*c_1010_11^2 + 6*c_1010_11 - 7, c_0011_9 - 1, c_0101_0 - 1, c_0101_1 + c_1010_11^14 + c_1010_11^13 - 7*c_1010_11^12 - 5*c_1010_11^11 + 19*c_1010_11^10 + 4*c_1010_11^9 - 27*c_1010_11^8 + 12*c_1010_11^7 + 21*c_1010_11^6 - 19*c_1010_11^5 - 3*c_1010_11^4 + 9*c_1010_11^3 - 3*c_1010_11^2 - 4*c_1010_11 - 1, c_0101_10 + c_1010_11^13 - 8*c_1010_11^11 + 2*c_1010_11^10 + 23*c_1010_11^9 - 15*c_1010_11^8 - 26*c_1010_11^7 + 37*c_1010_11^6 + c_1010_11^5 - 31*c_1010_11^4 + 19*c_1010_11^3 + 2*c_1010_11^2 - 8*c_1010_11, c_0101_2 + c_1010_11^14 - 8*c_1010_11^12 + 2*c_1010_11^11 + 24*c_1010_11^10 - 15*c_1010_11^9 - 31*c_1010_11^8 + 39*c_1010_11^7 + 9*c_1010_11^6 - 40*c_1010_11^5 + 16*c_1010_11^4 + 12*c_1010_11^3 - 12*c_1010_11^2 - c_1010_11 + 3, c_0110_11 + 6*c_1010_11^14 + 3*c_1010_11^13 - 46*c_1010_11^12 - 9*c_1010_11^11 + 135*c_1010_11^10 - 34*c_1010_11^9 - 186*c_1010_11^8 + 160*c_1010_11^7 + 98*c_1010_11^6 - 190*c_1010_11^5 + 39*c_1010_11^4 + 69*c_1010_11^3 - 48*c_1010_11^2 - 15*c_1010_11 + 6, c_0110_9 + 8*c_1010_11^14 + 4*c_1010_11^13 - 61*c_1010_11^12 - 12*c_1010_11^11 + 178*c_1010_11^10 - 45*c_1010_11^9 - 244*c_1010_11^8 + 211*c_1010_11^7 + 128*c_1010_11^6 - 249*c_1010_11^5 + 52*c_1010_11^4 + 90*c_1010_11^3 - 63*c_1010_11^2 - 20*c_1010_11 + 8, c_1001_0 + c_1010_11^14 - 8*c_1010_11^12 + 2*c_1010_11^11 + 24*c_1010_11^10 - 15*c_1010_11^9 - 31*c_1010_11^8 + 39*c_1010_11^7 + 9*c_1010_11^6 - 40*c_1010_11^5 + 16*c_1010_11^4 + 12*c_1010_11^3 - 12*c_1010_11^2 - c_1010_11 + 3, c_1001_11 - 2*c_1010_11^14 + 16*c_1010_11^12 - 5*c_1010_11^11 - 48*c_1010_11^10 + 36*c_1010_11^9 + 60*c_1010_11^8 - 90*c_1010_11^7 - 7*c_1010_11^6 + 87*c_1010_11^5 - 49*c_1010_11^4 - 20*c_1010_11^3 + 30*c_1010_11^2 - 3*c_1010_11 - 6, c_1010_11^15 + 2*c_1010_11^14 - 7*c_1010_11^13 - 13*c_1010_11^12 + 21*c_1010_11^11 + 28*c_1010_11^10 - 42*c_1010_11^9 - 19*c_1010_11^8 + 60*c_1010_11^7 - 10*c_1010_11^6 - 43*c_1010_11^5 + 25*c_1010_11^4 + 9*c_1010_11^3 - 16*c_1010_11^2 - 2*c_1010_11 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.160 Total time: 0.370 seconds, Total memory usage: 32.09MB