Magma V2.19-8 Wed Aug 21 2013 01:00:02 on localhost [Seed = 3052646020] Type ? for help. Type -D to quit. Loading file "L13n8185__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n8185 geometric_solution 12.14902466 oriented_manifold CS_known 0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 3 0132 0132 0132 3120 0 1 2 2 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 1 0 -1 -1 0 1 0 0 1 0 -1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.323128456567 0.850794262286 0 4 5 5 0132 0132 2103 0132 0 1 2 2 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 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 0.323128456567 0.850794262286 6 0 8 7 0132 0132 0132 0132 0 1 2 2 0 -1 0 1 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 -1 0 1 0 0 -1 1 2 -2 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.945662268948 1.073735721504 0 9 8 0 3120 0132 3120 0132 0 1 2 0 0 0 0 0 0 0 0 0 0 1 0 -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 1 -1 1 -3 0 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.572646470994 0.719788468826 10 1 9 11 0132 0132 2103 0132 0 1 2 2 0 -1 2 -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 0 1 -1 0 0 0 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.945662268948 1.073735721504 1 8 1 9 2103 0132 0132 2103 0 1 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 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 0.609872099959 1.027203182410 2 12 10 7 0132 0132 3120 3120 2 1 2 2 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 1 -1 -1 1 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.605542785369 0.480925543104 6 11 2 8 3120 0132 0132 3120 0 1 2 2 0 1 -1 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 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 0.358548605168 0.679118495295 7 5 3 2 3120 0132 3120 0132 0 1 2 0 0 1 -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 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 0.465298898687 0.343821967381 4 3 11 5 2103 0132 0132 2103 0 1 0 2 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 -1 1 -1 1 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.323128456567 0.850794262286 4 12 6 11 0132 1023 3120 3120 2 1 2 2 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 -1 1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.605542785369 0.480925543104 10 7 4 9 3120 0132 0132 0132 0 1 2 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 0 0 0 0 0 0 0 -1 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 0 0 0.358548605168 0.679118495295 10 6 12 12 1023 0132 2031 1302 2 2 2 2 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 1 -1 3 -2 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.667304766097 0.726240593780 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_5'], 'c_1001_10' : d['c_0101_12'], 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_12']), 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_1001_3']), 'c_1010_12' : negation(d['c_0101_12']), 'c_1010_11' : d['c_1001_0'], 'c_1010_10' : negation(d['c_0011_11']), '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'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : d['1'], 's_2_12' : 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' : 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_0101_3']), 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0110_5']), 'c_1100_4' : negation(d['c_0110_5']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0110_5']), 'c_1100_0' : negation(d['c_0101_3']), 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : negation(d['c_0101_3']), 's_3_11' : negation(d['1']), 'c_1100_11' : negation(d['c_0110_5']), 'c_1100_10' : negation(d['c_0101_10']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_5'], 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : negation(d['c_1001_3']), 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : negation(d['c_0011_3']), 's_3_1' : negation(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' : d['c_0101_12'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(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_3']), 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), '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_0101_4'], 'c_0110_10' : d['c_0101_4'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_0'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_4'], 'c_0101_8' : d['c_0101_3'], 'c_0011_10' : negation(d['c_0011_0']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_5'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0110_5']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_10'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2']})} 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_11, c_0011_3, c_0011_5, c_0101_0, c_0101_10, c_0101_12, c_0101_2, c_0101_3, c_0101_4, c_0110_5, c_1001_0, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 3317796635/977161776*c_1001_3^7 + 2758926503/40715074*c_1001_3^6 + 148590210865/244290444*c_1001_3^5 - 411116190029/325720592*c_1001_3^4 + 2246543054287/977161776*c_1001_3^3 - 25985643285/162860296*c_1001_3^2 + 195624832469/162860296*c_1001_3 - 7389335695/977161776, c_0011_0 - 1, c_0011_11 + 2522641/488580888*c_1001_3^7 + 2188010/20357537*c_1001_3^6 + 494247785/488580888*c_1001_3^5 - 94560971/81430148*c_1001_3^4 + 747872183/488580888*c_1001_3^3 + 74062085/20357537*c_1001_3^2 + 20635021/162860296*c_1001_3 + 587623265/244290444, c_0011_3 - 30091/5520688*c_1001_3^7 - 912281/8281032*c_1001_3^6 - 16642855/16562064*c_1001_3^5 + 4862237/2760344*c_1001_3^4 - 18406821/5520688*c_1001_3^3 - 4922581/8281032*c_1001_3^2 - 44670953/16562064*c_1001_3 - 7119181/8281032, c_0011_5 + 18377425/977161776*c_1001_3^7 + 370191401/977161776*c_1001_3^6 + 3360919213/977161776*c_1001_3^5 - 2069918713/325720592*c_1001_3^4 + 11254331831/977161776*c_1001_3^3 + 1610663575/977161776*c_1001_3^2 + 6326606107/977161776*c_1001_3 + 1035369227/977161776, c_0101_0 - 1, c_0101_10 + 12566503/162860296*c_1001_3^7 + 754839353/488580888*c_1001_3^6 + 3401323951/244290444*c_1001_3^5 - 1131271097/40715074*c_1001_3^4 + 8197943011/162860296*c_1001_3^3 - 178517675/488580888*c_1001_3^2 + 1701377354/61072611*c_1001_3 + 114270341/244290444, c_0101_12 - 182179/81430148*c_1001_3^7 - 8710735/244290444*c_1001_3^6 - 53889967/244290444*c_1001_3^5 + 49975759/20357537*c_1001_3^4 - 388545501/81430148*c_1001_3^3 + 1348966921/244290444*c_1001_3^2 + 43962319/244290444*c_1001_3 + 239764085/122145222, c_0101_2 - 50317/837328*c_1001_3^7 - 1005107/837328*c_1001_3^6 - 9030945/837328*c_1001_3^5 + 18566617/837328*c_1001_3^4 - 33491235/837328*c_1001_3^3 + 1360507/837328*c_1001_3^2 - 16684287/837328*c_1001_3 - 277185/837328, c_0101_3 + 30091/5520688*c_1001_3^7 + 912281/8281032*c_1001_3^6 + 16642855/16562064*c_1001_3^5 - 4862237/2760344*c_1001_3^4 + 18406821/5520688*c_1001_3^3 + 4922581/8281032*c_1001_3^2 + 44670953/16562064*c_1001_3 - 1161851/8281032, c_0101_4 - 50317/837328*c_1001_3^7 - 1005107/837328*c_1001_3^6 - 9030945/837328*c_1001_3^5 + 18566617/837328*c_1001_3^4 - 33491235/837328*c_1001_3^3 + 1360507/837328*c_1001_3^2 - 16684287/837328*c_1001_3 - 277185/837328, c_0110_5 - 7357/550824*c_1001_3^7 - 98663/367216*c_1001_3^6 - 167629/68853*c_1001_3^5 + 1686781/367216*c_1001_3^4 - 4507511/550824*c_1001_3^3 - 386997/367216*c_1001_3^2 - 173385/45902*c_1001_3 - 220187/1101648, c_1001_0 - 1, c_1001_3^8 + 20*c_1001_3^7 + 180*c_1001_3^6 - 364*c_1001_3^5 + 662*c_1001_3^4 - 20*c_1001_3^3 + 356*c_1001_3^2 + 12*c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB