Magma V2.19-8 Wed Aug 21 2013 01:09:03 on localhost [Seed = 3835886976] Type ? for help. Type -D to quit. Loading file "L14n436__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n436 geometric_solution 11.44031303 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 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 1 0 -1 0 0 0 0 0 1 0 -1 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.000000000000 0.403314246433 0 5 6 2 0132 0132 0132 0213 1 1 1 1 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 0 0 0 0 0 0 0 8 0 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 2.428518671682 7 0 8 1 0132 0132 0132 0213 1 1 1 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 0 0 0 0 -1 1 0 0 0 -8 8 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000000000 2.479456178017 7 6 9 0 2031 0213 0132 0132 1 1 1 1 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 0 0 0 0 0 0 0 7 1 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.434510711962 0.824755639638 5 8 0 10 3120 3120 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 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 0.434510711962 0.824755639638 7 1 6 4 1023 0132 2103 3120 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 -1 0 0 0 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.139905086792 0.346888531781 5 8 3 1 2103 3201 0213 0132 1 1 1 1 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 1 0 -1 0 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.139905086792 0.346888531781 2 5 3 11 0132 1023 1302 0132 1 1 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.565489288038 0.824755639638 12 4 6 2 0132 3120 2310 0132 1 1 1 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 0 0 0 0 1 0 -1 -1 0 -7 8 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.565489288038 0.824755639638 12 12 10 3 1230 2310 0132 0132 1 1 1 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 0 0 0 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 0.500000000000 1.613430774233 11 11 4 9 1023 0321 0132 0132 1 1 0 1 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 1 0 0 0 0 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 0.500000000000 1.613430774233 12 10 7 10 2103 1023 0132 0321 1 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 0 0 0 0 0 -1 1 0 0 0 0 -1 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.824755639638 0.565489288038 8 9 11 9 0132 3012 2103 3201 0 1 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 -1 1 0 1 0 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 0.824755639638 0.565489288038 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0011_12'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_7' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0101_8']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_8']), 'c_1001_2' : negation(d['c_0011_4']), 'c_1001_9' : d['c_0101_9'], 'c_1001_8' : d['c_0011_4'], 'c_1010_12' : negation(d['c_0101_9']), 'c_1010_11' : d['c_0101_9'], 'c_1010_10' : d['c_0101_9'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_2_12' : d['1'], 's_2_10' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_12'], 'c_1100_6' : d['c_1001_0'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_6'], 's_3_11' : negation(d['1']), 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : d['c_1100_0'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0011_12'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : negation(d['c_0011_4']), 'c_1010_9' : negation(d['c_0101_8']), 'c_1010_8' : negation(d['c_0011_4']), 'c_1100_8' : d['c_0011_6'], 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_10'], '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_10']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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_11' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0101_9'], 'c_0110_12' : d['c_0101_8'], 'c_0101_12' : d['c_0101_11'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_12'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0011_12'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_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_1, c_0101_10, c_0101_11, c_0101_8, c_0101_9, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 64985/89856*c_1100_0^7 + 112727/29952*c_1100_0^6 - 269623/44928*c_1100_0^5 - 281185/4992*c_1100_0^4 - 1774489/89856*c_1100_0^3 + 7418821/89856*c_1100_0^2 - 119131/7488*c_1100_0 - 640307/7488, c_0011_0 - 1, c_0011_10 + 1, c_0011_12 - 283/936*c_1100_0^7 + 194/117*c_1100_0^6 - 1441/468*c_1100_0^5 - 5137/234*c_1100_0^4 - 3955/936*c_1100_0^3 + 2401/78*c_1100_0^2 - 733/78*c_1100_0 - 388/13, c_0011_3 - 893/936*c_1100_0^7 + 1163/234*c_1100_0^6 - 1849/234*c_1100_0^5 - 34867/468*c_1100_0^4 - 23495/936*c_1100_0^3 + 17405/156*c_1100_0^2 - 805/39*c_1100_0 - 1475/13, c_0011_4 - 17/52*c_1100_0^7 + 1583/936*c_1100_0^6 - 1231/468*c_1100_0^5 - 6023/234*c_1100_0^4 - 1070/117*c_1100_0^3 + 35849/936*c_1100_0^2 - 517/78*c_1100_0 - 3031/78, c_0011_6 + 23/624*c_1100_0^7 - 85/468*c_1100_0^6 + 215/936*c_1100_0^5 + 731/234*c_1100_0^4 + 2453/1872*c_1100_0^3 - 2317/468*c_1100_0^2 + 197/156*c_1100_0 + 212/39, c_0101_1 - 23/624*c_1100_0^7 + 85/468*c_1100_0^6 - 215/936*c_1100_0^5 - 731/234*c_1100_0^4 - 2453/1872*c_1100_0^3 + 2317/468*c_1100_0^2 - 197/156*c_1100_0 - 212/39, c_0101_10 - 203/468*c_1100_0^7 + 1031/468*c_1100_0^6 - 755/234*c_1100_0^5 - 8149/234*c_1100_0^4 - 6791/468*c_1100_0^3 + 8237/156*c_1100_0^2 - 251/39*c_1100_0 - 717/13, c_0101_11 - c_1100_0, c_0101_8 - 203/468*c_1100_0^7 + 1031/468*c_1100_0^6 - 755/234*c_1100_0^5 - 8149/234*c_1100_0^4 - 6791/468*c_1100_0^3 + 8237/156*c_1100_0^2 - 251/39*c_1100_0 - 717/13, c_0101_9 + 85/144*c_1100_0^7 - 223/72*c_1100_0^6 + 121/24*c_1100_0^5 + 1643/36*c_1100_0^4 + 703/48*c_1100_0^3 - 4919/72*c_1100_0^2 + 51/4*c_1100_0 + 415/6, c_1001_0 - 1, c_1100_0^8 - 4*c_1100_0^7 + 2*c_1100_0^6 + 88*c_1100_0^5 + 121*c_1100_0^4 - 84*c_1100_0^3 - 120*c_1100_0^2 + 144*c_1100_0 + 144 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.270 Total time: 0.480 seconds, Total memory usage: 32.09MB