Magma V2.19-8 Tue Aug 20 2013 20:07:28 on localhost [Seed = 1864972784] Type ? for help. Type -D to quit. Loading file "11_335__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_335 geometric_solution 13.60980423 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 15 1 2 3 4 0132 0132 0132 0132 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 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 0.824768809948 0.611833577512 0 5 2 4 0132 0132 2103 2103 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 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.947501987173 1.399004383851 1 0 7 6 2103 0132 0132 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435064062245 0.542700108673 8 9 8 0 0132 0132 3120 0132 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 -4 0 3 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 0.432620151202 1.510527519302 10 7 0 1 0132 0132 0132 2103 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 0 0 0 0.626199112512 0.409077037304 10 1 6 11 2103 0132 2103 0132 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 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.319868560253 0.579476854092 5 9 2 8 2103 0213 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.126716887910 0.501285016080 12 4 9 2 0132 0132 3201 0132 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 -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 1.269203772065 1.283097109192 3 6 3 13 0132 2310 3120 0132 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 -1 1 4 0 -3 -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 0.432620151202 1.510527519302 7 3 6 14 2310 0132 0213 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.481134453344 0.397408925709 4 11 5 12 0132 3120 2103 0132 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.013763476989 1.194874205198 14 10 5 13 1302 3120 0132 0321 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.434436710467 1.416533566407 7 13 10 14 0132 1302 0132 2310 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.243103591798 0.608887465415 14 11 8 12 3201 0321 0132 2031 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 -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 0.596389561361 0.563806108412 12 11 9 13 3201 2031 0132 2310 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.839493153159 1.172693573827 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_14' : d['c_0011_13'], 'c_1001_11' : negation(d['c_0011_0']), 'c_1001_10' : d['c_0011_0'], 'c_1001_13' : negation(d['c_0110_6']), 'c_1001_12' : negation(d['c_0011_11']), 's_0_10' : d['1'], 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_6']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_13'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0011_13']), 'c_1010_13' : negation(d['c_0011_10']), 'c_1010_12' : d['c_0101_13'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0011_11']), 'c_1010_14' : d['c_0011_11'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_0_13' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_14']), 'c_0101_10' : d['c_0101_10'], 'c_0101_14' : d['c_0101_14'], '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_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_14' : 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_14' : d['c_0011_14'], 'c_1100_9' : d['c_0011_13'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0110_6']), 'c_1100_4' : negation(d['c_0101_0']), 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : d['c_0011_3'], 'c_1100_14' : d['c_0011_13'], 'c_1100_11' : negation(d['c_0110_6']), 'c_1100_10' : d['c_0011_14'], 'c_1100_13' : negation(d['c_0101_13']), 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0011_13'], 'c_1010_5' : negation(d['c_0011_0']), 's_3_12' : d['1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_13'], 'c_1010_8' : negation(d['c_0110_6']), 'c_1100_8' : negation(d['c_0101_13']), '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'], 'c_1100_12' : d['c_0011_14'], '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_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_10'], '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' : negation(d['c_0011_13']), 'c_0110_10' : d['c_0101_1'], 'c_0110_13' : negation(d['c_0011_11']), 'c_0110_12' : negation(d['c_0101_14']), 'c_0110_14' : negation(d['c_0101_13']), 'c_1010_4' : negation(d['c_0011_6']), 'c_0101_12' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 's_0_8' : d['1'], 'c_0101_7' : negation(d['c_0101_14']), 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_13'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_6'], 'c_0101_8' : d['c_0101_0'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_14'], 'c_0110_8' : d['c_0101_13'], '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' : negation(d['c_0011_14']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6'], 'c_0101_13' : d['c_0101_13']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_14, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_13, c_0101_14, c_0110_6, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 2541475/4249728*c_1001_2^9 + 14265197/4249728*c_1001_2^8 + 16273501/2124864*c_1001_2^7 - 3431315/2124864*c_1001_2^6 - 11816869/202368*c_1001_2^5 - 797008517/4249728*c_1001_2^4 - 1436425349/4249728*c_1001_2^3 - 46365665/118048*c_1001_2^2 - 1192889657/4249728*c_1001_2 - 440311225/4249728, c_0011_0 - 1, c_0011_10 - c_1001_2^9 - 9*c_1001_2^8 - 41*c_1001_2^7 - 119*c_1001_2^6 - 239*c_1001_2^5 - 339*c_1001_2^4 - 336*c_1001_2^3 - 221*c_1001_2^2 - 85*c_1001_2 - 14, c_0011_11 + c_1001_2^9 + 8*c_1001_2^8 + 34*c_1001_2^7 + 93*c_1001_2^6 + 178*c_1001_2^5 + 242*c_1001_2^4 + 232*c_1001_2^3 + 148*c_1001_2^2 + 56*c_1001_2 + 9, c_0011_13 - c_1001_2^9 - 10*c_1001_2^8 - 48*c_1001_2^7 - 146*c_1001_2^6 - 305*c_1001_2^5 - 451*c_1001_2^4 - 466*c_1001_2^3 - 323*c_1001_2^2 - 132*c_1001_2 - 25, c_0011_14 + c_1001_2^9 + 9*c_1001_2^8 + 41*c_1001_2^7 + 119*c_1001_2^6 + 239*c_1001_2^5 + 339*c_1001_2^4 + 336*c_1001_2^3 + 221*c_1001_2^2 + 85*c_1001_2 + 14, c_0011_3 - 2*c_1001_2^9 - 17*c_1001_2^8 - 74*c_1001_2^7 - 206*c_1001_2^6 - 397*c_1001_2^5 - 540*c_1001_2^4 - 512*c_1001_2^3 - 321*c_1001_2^2 - 117*c_1001_2 - 19, c_0011_6 - c_1001_2^8 - 8*c_1001_2^7 - 33*c_1001_2^6 - 86*c_1001_2^5 - 153*c_1001_2^4 - 187*c_1001_2^3 - 153*c_1001_2^2 - 76*c_1001_2 - 18, c_0101_0 + c_1001_2^9 + 9*c_1001_2^8 + 41*c_1001_2^7 + 120*c_1001_2^6 + 244*c_1001_2^5 + 353*c_1001_2^4 + 359*c_1001_2^3 + 245*c_1001_2^2 + 99*c_1001_2 + 19, c_0101_1 - 1, c_0101_10 + c_1001_2^9 + 8*c_1001_2^8 + 33*c_1001_2^7 + 87*c_1001_2^6 + 158*c_1001_2^5 + 200*c_1001_2^4 + 172*c_1001_2^3 + 92*c_1001_2^2 + 23*c_1001_2 + 1, c_0101_13 + c_1001_2^9 + 10*c_1001_2^8 + 48*c_1001_2^7 + 146*c_1001_2^6 + 305*c_1001_2^5 + 451*c_1001_2^4 + 466*c_1001_2^3 + 323*c_1001_2^2 + 132*c_1001_2 + 25, c_0101_14 - 2*c_1001_2^9 - 17*c_1001_2^8 - 75*c_1001_2^7 - 213*c_1001_2^6 - 422*c_1001_2^5 - 595*c_1001_2^4 - 591*c_1001_2^3 - 393*c_1001_2^2 - 155*c_1001_2 - 28, c_0110_6 + 2*c_1001_2^9 + 17*c_1001_2^8 + 75*c_1001_2^7 + 213*c_1001_2^6 + 422*c_1001_2^5 + 595*c_1001_2^4 + 591*c_1001_2^3 + 393*c_1001_2^2 + 155*c_1001_2 + 28, c_1001_0 - c_1001_2^8 - 7*c_1001_2^7 - 27*c_1001_2^6 - 67*c_1001_2^5 - 116*c_1001_2^4 - 139*c_1001_2^3 - 113*c_1001_2^2 - 54*c_1001_2 - 12, c_1001_2^10 + 10*c_1001_2^9 + 51*c_1001_2^8 + 168*c_1001_2^7 + 391*c_1001_2^6 + 664*c_1001_2^5 + 828*c_1001_2^4 + 743*c_1001_2^3 + 457*c_1001_2^2 + 172*c_1001_2 + 31 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 51.720 Total time: 51.939 seconds, Total memory usage: 318.59MB