Magma V2.19-8 Mon Sep 9 2013 19:30:27 on localhost [Seed = 1980399105] Type ? for help. Type -D to quit. Loading file "10^2_61__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_61 geometric_solution 14.32376002 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 16 1 2 3 4 0132 0132 0132 0132 0 1 1 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 1 3 -4 -1 0 1 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 0.614860269635 1.246645482908 0 5 7 6 0132 0132 0132 0132 0 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 0 1 1 0 0 -1 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.080348608166 0.509846896572 5 0 8 6 0132 0132 0132 2031 0 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 0 0 0 -1 1 0 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 0.032764263693 0.875978042347 9 10 11 0 0132 0132 0132 0132 0 1 0 1 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 0 3 -3 0 0 1 -1 0 4 0 -4 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.641604375604 0.900125604165 9 12 0 13 3120 0132 0132 0132 0 1 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 4 -4 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 1.055351899974 0.717187319305 2 1 14 8 0132 0132 0132 0132 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 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 -0.529183930802 1.499415179760 15 2 1 14 0132 1302 0132 1302 0 1 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 1 -1 0 0 0 1 -1 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.106976423876 1.386079514972 8 14 14 1 0321 0132 1302 0132 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 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 0.137417152995 1.172506568048 7 15 5 2 0321 3201 0132 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 1 -1 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 0.381810729866 0.958933621124 3 11 15 4 0132 3120 0132 3120 1 1 1 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 -1 1 0 0 0 0 0 1 0 0 -1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567999105139 0.514408975494 13 3 12 13 3120 0132 0321 0321 0 1 1 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 0 0 0 3 -1 0 -2 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.137417152995 1.172506568048 13 9 12 3 0132 3120 1302 0132 0 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 3 0 -3 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 0.333398916203 0.326908611712 11 4 10 15 2031 0132 0321 3201 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 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 0.757025365845 0.357261563985 11 10 4 10 0132 0321 0132 3120 0 1 1 1 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 0 4 -4 0 0 0 0 1 2 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.407105140197 0.553376933503 7 7 6 5 2031 0132 2031 0132 0 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 0 0 0 0 0 0 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 0.901398021343 0.841317587206 6 12 8 9 0132 2310 2310 0132 1 1 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 1 -1 0 0 0 0 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.681778679687 0.645202155879 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : d['c_1001_15'], 'c_1001_14' : negation(d['c_0101_15']), 'c_1001_11' : d['c_0110_12'], 'c_1001_10' : negation(d['c_0011_15']), 'c_1001_13' : d['c_1001_12'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0101_5'], 'c_1001_4' : negation(d['c_1001_15']), 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_15']), 'c_1001_0' : negation(d['c_0011_15']), 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : negation(d['c_1001_15']), 'c_1001_9' : negation(d['c_0110_12']), 'c_1001_8' : negation(d['c_0101_15']), 'c_1010_13' : negation(d['c_0011_10']), 'c_1010_12' : negation(d['c_1001_15']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0011_10']), 'c_1010_15' : negation(d['c_0110_12']), 'c_1010_14' : d['c_0101_5'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_3_13' : d['1'], 's_3_12' : 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' : d['c_0011_11'], 'c_0101_10' : d['c_0101_10'], 'c_0101_15' : d['c_0101_15'], '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_2_15' : 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_15' : d['c_0011_15'], 'c_0011_14' : d['c_0011_14'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : negation(d['c_0011_11']), 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_1010_6']), 'c_1100_4' : negation(d['c_0101_10']), 'c_1100_7' : d['c_0101_14'], 'c_1100_6' : d['c_0101_14'], 'c_1100_1' : d['c_0101_14'], 'c_1100_0' : negation(d['c_0101_10']), 'c_1100_3' : negation(d['c_0101_10']), 'c_1100_2' : negation(d['c_1010_6']), 'c_1100_14' : negation(d['c_1010_6']), 's_0_15' : d['1'], 'c_1100_15' : d['c_0011_8'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : d['c_1001_12'], 'c_1100_13' : negation(d['c_0101_10']), 's_3_10' : d['1'], 's_0_12' : d['1'], 'c_1010_7' : negation(d['c_0101_15']), 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : negation(d['c_0101_15']), 's_0_13' : d['1'], 'c_1010_3' : negation(d['c_0011_15']), 'c_1010_2' : negation(d['c_0011_15']), 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : negation(d['c_1001_15']), 's_3_15' : d['1'], 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : negation(d['c_1001_15']), 'c_1100_8' : negation(d['c_1010_6']), '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' : negation(d['c_0011_15']), '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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_11'], 'c_0101_13' : d['c_0101_13'], 'c_0011_6' : negation(d['c_0011_15']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_13'], 'c_0110_10' : d['c_0011_11'], 'c_0110_13' : d['c_0011_11'], 'c_0110_12' : d['c_0110_12'], 'c_0110_15' : d['c_0101_0'], 'c_0110_14' : d['c_0101_5'], 'c_1010_4' : d['c_1001_12'], 'c_0101_12' : negation(d['c_0101_10']), 'c_0011_7' : negation(d['c_0011_14']), 'c_0110_0' : negation(d['c_0011_8']), 's_0_8' : d['1'], 's_0_9' : d['1'], 'c_0101_7' : negation(d['c_0011_14']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_8']), 'c_0101_3' : d['c_0101_13'], 'c_0101_2' : d['c_0011_14'], 'c_0101_1' : negation(d['c_0011_8']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0011_14'], 's_1_15' : d['1'], '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_13'], 'c_0110_8' : d['c_0011_14'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_8'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0011_14'], 'c_0110_4' : d['c_0101_13'], 'c_0110_7' : negation(d['c_0011_8']), 'c_0110_6' : d['c_0101_15']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_14, c_0011_15, c_0011_8, c_0101_0, c_0101_10, c_0101_13, c_0101_14, c_0101_15, c_0101_5, c_0110_12, c_1001_12, c_1001_15, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 18317449399/125642556*c_1010_6^7 - 547600957/251285112*c_1010_6^6 + 495411322895/62821278*c_1010_6^5 - 2248556177527/125642556*c_1010_6^4 + 323283343343/10470213*c_1010_6^3 - 1664160187733/251285112*c_1010_6^2 - 32879013260/10470213*c_1010_6 + 560321506375/251285112, c_0011_0 - 1, c_0011_10 - 51485/805401*c_1010_6^7 + 14885/1610802*c_1010_6^6 - 5551099/1610802*c_1010_6^5 + 6685751/805401*c_1010_6^4 - 3742175/268467*c_1010_6^3 + 2806142/805401*c_1010_6^2 + 1038521/536934*c_1010_6 - 367447/805401, c_0011_11 - 223577/2416203*c_1010_6^7 - 55033/4832406*c_1010_6^6 - 12097358/2416203*c_1010_6^5 + 25796426/2416203*c_1010_6^4 - 14588972/805401*c_1010_6^3 + 10430623/4832406*c_1010_6^2 + 1374344/805401*c_1010_6 - 3210155/4832406, c_0011_14 - 247855/4832406*c_1010_6^7 + 961/2416203*c_1010_6^6 - 13457659/4832406*c_1010_6^5 + 15140987/2416203*c_1010_6^4 - 9176681/805401*c_1010_6^3 + 14462233/4832406*c_1010_6^2 - 694919/1610802*c_1010_6 - 228943/2416203, c_0011_15 + 62855/4832406*c_1010_6^7 - 89767/4832406*c_1010_6^6 + 3378167/4832406*c_1010_6^5 - 6295327/2416203*c_1010_6^4 + 7611557/1610802*c_1010_6^3 - 11648500/2416203*c_1010_6^2 + 133274/805401*c_1010_6 + 1235396/2416203, c_0011_8 + 1, c_0101_0 - 44798/2416203*c_1010_6^7 - 51848/2416203*c_1010_6^6 - 2420957/2416203*c_1010_6^5 + 5330155/4832406*c_1010_6^4 - 988159/805401*c_1010_6^3 - 17892161/4832406*c_1010_6^2 + 1074623/1610802*c_1010_6 - 475228/2416203, c_0101_10 - 156551/4832406*c_1010_6^7 + 3715/4832406*c_1010_6^6 - 8412119/4832406*c_1010_6^5 + 9685396/2416203*c_1010_6^4 - 3361657/536934*c_1010_6^3 + 2212051/2416203*c_1010_6^2 + 297152/268467*c_1010_6 - 566417/2416203, c_0101_13 - 348889/3221604*c_1010_6^7 - 11521/1610802*c_1010_6^6 - 1048715/178978*c_1010_6^5 + 20654903/1610802*c_1010_6^4 - 70723967/3221604*c_1010_6^3 + 2772833/805401*c_1010_6^2 + 5219225/3221604*c_1010_6 - 73882/268467, c_0101_14 + 1381/44334*c_1010_6^7 + 401/22167*c_1010_6^6 + 75013/44334*c_1010_6^5 - 62711/22167*c_1010_6^4 + 34753/7389*c_1010_6^3 + 49127/44334*c_1010_6^2 + 2701/14778*c_1010_6 + 11146/22167, c_0101_15 - 1, c_0101_5 - 20311/1610802*c_1010_6^7 + 2713/805401*c_1010_6^6 - 1111501/1610802*c_1010_6^5 + 2780281/1610802*c_1010_6^4 - 311102/89489*c_1010_6^3 + 2089553/805401*c_1010_6^2 - 228172/268467*c_1010_6 - 246562/805401, c_0110_12 + 156551/4832406*c_1010_6^7 - 3715/4832406*c_1010_6^6 + 8412119/4832406*c_1010_6^5 - 9685396/2416203*c_1010_6^4 + 3361657/536934*c_1010_6^3 - 2212051/2416203*c_1010_6^2 - 297152/268467*c_1010_6 + 566417/2416203, c_1001_12 + 203164/2416203*c_1010_6^7 - 39563/2416203*c_1010_6^6 + 10956721/2416203*c_1010_6^5 - 53902577/4832406*c_1010_6^4 + 5075009/268467*c_1010_6^3 - 29646017/4832406*c_1010_6^2 - 1267093/536934*c_1010_6 + 1291070/2416203, c_1001_15 - 44798/2416203*c_1010_6^7 - 51848/2416203*c_1010_6^6 - 2420957/2416203*c_1010_6^5 + 5330155/4832406*c_1010_6^4 - 988159/805401*c_1010_6^3 - 17892161/4832406*c_1010_6^2 + 1074623/1610802*c_1010_6 - 475228/2416203, c_1010_6^8 + 54*c_1010_6^6 - 122*c_1010_6^5 + 205*c_1010_6^4 - 34*c_1010_6^3 - 35*c_1010_6^2 + 8*c_1010_6 + 4 ], Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_14, c_0011_15, c_0011_8, c_0101_0, c_0101_10, c_0101_13, c_0101_14, c_0101_15, c_0101_5, c_0110_12, c_1001_12, c_1001_15, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 101153600473642511453411/137998491713501189190*c_1010_6^11 + 432709824741467802633583/68999245856750594595*c_1010_6^10 + 2041258895216023047804943/45999497237833729730*c_1010_6^9 + 8286784957559035934909662/68999245856750594595*c_1010_6^8 + 24198117108504926485157666/68999245856750594595*c_1010_6^7 - 92495176633168007296040348/68999245856750594595*c_1010_6^6 + 140802004668030620780511/1314271349652392278*c_1010_6^5 + 95178598996966651252159547/137998491713501189190*c_1010_6^4 + 20322938211589428302596703/45999497237833729730*c_1010_6^3 - 1357750149529823729605439/22999748618916864865*c_1010_6^2 - 3037707720828991868126633/137998491713501189190*c_1010_6 - 45155849401656180258137/137998491713501189190, c_0011_0 - 1, c_0011_10 + 5683454199060557/63430084442683025*c_1010_6^11 + 281533752971131667/380580506656098150*c_1010_6^10 + 990617953677283054/190290253328049075*c_1010_6^9 + 2501995147752175894/190290253328049075*c_1010_6^8 + 7444389795871105867/190290253328049075*c_1010_6^7 - 22204005030919104389/126860168885366050*c_1010_6^6 + 5104449575261027431/76116101331219630*c_1010_6^5 + 7490985281587160033/126860168885366050*c_1010_6^4 + 6282256062166337939/190290253328049075*c_1010_6^3 - 2343507383492648254/190290253328049075*c_1010_6^2 + 586117412396766003/126860168885366050*c_1010_6 - 60518533325976319/380580506656098150, c_0011_11 - 56375727981665954/63430084442683025*c_1010_6^11 - 456514662595687979/63430084442683025*c_1010_6^10 - 9604412047923050638/190290253328049075*c_1010_6^9 - 7752898580200527531/63430084442683025*c_1010_6^8 - 69891033956493048274/190290253328049075*c_1010_6^7 + 113999857495754924229/63430084442683025*c_1010_6^6 - 11938739150297658612/12686016888536605*c_1010_6^5 - 94902785038638888739/190290253328049075*c_1010_6^4 - 40929841042909999058/190290253328049075*c_1010_6^3 + 12186180297630449571/63430084442683025*c_1010_6^2 - 14831420654551272674/190290253328049075*c_1010_6 + 1437161890777208009/190290253328049075, c_0011_14 + 38661176333780528/190290253328049075*c_1010_6^11 + 626374356279397931/380580506656098150*c_1010_6^10 + 2196301322744652197/190290253328049075*c_1010_6^9 + 5321976331363562392/190290253328049075*c_1010_6^8 + 10654430888161668429/126860168885366050*c_1010_6^7 - 156331375479264742181/380580506656098150*c_1010_6^6 + 16238102006883501893/76116101331219630*c_1010_6^5 + 44135683499804384707/380580506656098150*c_1010_6^4 + 9847153831793425027/190290253328049075*c_1010_6^3 - 17319083826861089269/380580506656098150*c_1010_6^2 + 3137001776492837731/190290253328049075*c_1010_6 - 200058974672277539/126860168885366050, c_0011_15 + 15918637249048969/380580506656098150*c_1010_6^11 + 128234903508854269/380580506656098150*c_1010_6^10 + 448992897803479103/190290253328049075*c_1010_6^9 + 2147370376201430641/380580506656098150*c_1010_6^8 + 1076968985346164923/63430084442683025*c_1010_6^7 - 32483822306595545969/380580506656098150*c_1010_6^6 + 605570691415798847/12686016888536605*c_1010_6^5 + 10016515907882797643/380580506656098150*c_1010_6^4 + 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