Magma V2.19-8 Tue Aug 20 2013 20:01:19 on localhost [Seed = 1275731292] Type ? for help. Type -D to quit. Loading file "11_319__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_319 geometric_solution 14.20872152 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 15 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 1 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 3 -2 -1 -2 0 0 2 -2 2 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.072989040605 0.963552384443 0 4 5 3 0132 1023 0132 0321 0 0 0 0 0 1 0 -1 -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 -2 0 2 2 0 0 -2 0 0 0 0 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.127545494952 1.086418394470 6 0 8 7 0132 0132 0132 0132 0 0 0 0 0 1 0 -1 -1 0 0 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 -3 0 3 3 0 0 -3 0 -1 0 1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.687323987578 0.812993711936 9 1 8 0 0132 0321 0321 0132 0 0 0 0 0 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 -2 0 2 0 0 0 0 -1 0 0 1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.847473634590 0.995883849094 1 6 0 10 1023 0132 0132 0132 0 0 0 0 0 0 0 0 -1 0 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 0 -1 1 0 2 0 -2 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.178014529411 1.088905811786 11 11 7 1 0132 1230 0132 0132 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 3 -3 0 -3 0 3 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 0.628650617689 0.885562523889 2 4 12 13 0132 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 0 -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 1 -1 0 -3 0 0 3 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.630581218760 0.501026640149 9 10 2 5 3120 1023 0132 0132 0 0 0 0 0 0 1 -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 0 -3 3 0 0 3 -3 2 -2 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.052476070893 0.970327860653 11 10 3 2 3201 0321 0321 0132 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 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.278880760487 0.660447149643 3 12 12 7 0132 0213 2103 3120 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 1 0 -1 0 0 0 0 2 0 0 -2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.207590772130 0.834400740261 7 14 4 8 1023 0132 0132 0321 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 0 0 0 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.222708315449 0.476356155345 5 13 5 8 0132 3012 3012 2310 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 0 3 0 -3 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 0.466984415224 0.750844130658 9 14 9 6 2103 0321 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 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 0.598434482219 0.630146845088 11 14 6 14 1230 0213 0132 2310 0 0 0 0 0 0 0 0 0 0 1 -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 0 0 0 0 0 -3 3 -1 1 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.728219733194 1.285992932580 13 10 13 12 3201 0132 0213 0321 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 0 0 0 0 0 0 0 0 0 0 0 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 0.728219733194 1.285992932580 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_0' : d['1'], 'c_1001_14' : d['c_1001_13'], 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_13' : d['c_1001_13'], 'c_1001_12' : d['c_0011_12'], 'c_1001_5' : negation(d['c_0011_8']), 'c_1001_4' : d['c_1001_13'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : d['c_1001_10'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0101_10'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_13'], 'c_1001_9' : d['c_0011_12'], 'c_1001_8' : d['c_1001_8'], 'c_1010_13' : d['c_0011_12'], 'c_1010_12' : d['c_1001_10'], 'c_1010_11' : negation(d['c_0101_13']), 'c_1010_10' : d['c_1001_13'], 'c_1010_14' : d['c_1001_10'], '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'], 'c_0101_13' : d['c_0101_13'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0101_10'], 'c_0101_14' : negation(d['c_0011_11']), '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' : negation(d['c_0011_10']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_3'], 'c_0011_13' : negation(d['c_0011_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : d['c_1001_8'], 'c_1100_7' : d['c_1001_3'], 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : d['c_1001_8'], 'c_1100_3' : d['c_1001_8'], 'c_1100_2' : d['c_1001_3'], 'c_1100_14' : d['c_0011_12'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_6']), 'c_1100_11' : d['c_0011_8'], 'c_1100_10' : d['c_1001_8'], 'c_1100_13' : negation(d['c_0011_10']), 's_3_10' : d['1'], 's_0_12' : d['1'], 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : d['c_1001_13'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_0101_10'], 'c_1010_2' : d['c_0101_10'], 'c_1010_1' : d['c_0101_10'], 'c_1010_0' : d['c_1001_13'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_1001_13'], 's_3_1' : d['1'], 's_2_8' : 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_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_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_10'], '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_3'], 'c_0110_10' : negation(d['c_0011_8']), 'c_0110_13' : d['c_0011_11'], 'c_0110_12' : d['c_0101_6'], 'c_0110_14' : negation(d['c_0011_12']), 's_0_13' : d['1'], 'c_0101_12' : negation(d['c_0011_3']), 's_0_8' : d['1'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_13'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : negation(d['c_0101_3']), 'c_0011_10' : d['c_0011_10'], '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_3'], 'c_0110_8' : d['c_0101_13'], 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : 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_12, c_0011_3, c_0011_8, c_0101_1, c_0101_10, c_0101_13, c_0101_3, c_0101_6, c_1001_10, c_1001_13, c_1001_3, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 70307/1508*c_1001_8^3 - 223201/3016*c_1001_8^2 + 311433/754*c_1001_8 + 1531935/3016, c_0011_0 - 1, c_0011_10 - 3/8*c_1001_8^3 + 7/8*c_1001_8^2 - 27/8*c_1001_8 - 17/8, c_0011_11 - 3/4*c_1001_8^3 + 7/4*c_1001_8^2 - 31/4*c_1001_8 - 9/4, c_0011_12 - 1/8*c_1001_8^3 + 1/8*c_1001_8^2 - 9/8*c_1001_8 - 7/8, c_0011_3 - 1/8*c_1001_8^3 + 1/8*c_1001_8^2 - 9/8*c_1001_8 + 1/8, c_0011_8 + 5/8*c_1001_8^3 - 13/8*c_1001_8^2 + 45/8*c_1001_8 + 11/8, c_0101_1 - 3/8*c_1001_8^3 + 7/8*c_1001_8^2 - 35/8*c_1001_8 - 9/8, c_0101_10 + 1/8*c_1001_8^3 - 1/8*c_1001_8^2 + 9/8*c_1001_8 + 7/8, c_0101_13 - 5/4*c_1001_8^3 + 11/4*c_1001_8^2 - 53/4*c_1001_8 - 17/4, c_0101_3 + 1/8*c_1001_8^3 - 1/8*c_1001_8^2 + 17/8*c_1001_8 + 7/8, c_0101_6 - 1, c_1001_10 + 3/8*c_1001_8^3 - 7/8*c_1001_8^2 + 35/8*c_1001_8 + 9/8, c_1001_13 + 3/8*c_1001_8^3 - 7/8*c_1001_8^2 + 27/8*c_1001_8 + 9/8, c_1001_3 - 3/8*c_1001_8^3 + 7/8*c_1001_8^2 - 35/8*c_1001_8 - 9/8, c_1001_8^4 - 2*c_1001_8^3 + 10*c_1001_8^2 + 6*c_1001_8 + 1 ], 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_12, c_0011_3, c_0011_8, c_0101_1, c_0101_10, c_0101_13, c_0101_3, c_0101_6, c_1001_10, c_1001_13, c_1001_3, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 8302612439/12424647790*c_1001_8^7 - 11676316151/6212323895*c_1001_8^6 - 81235129509/12424647790*c_1001_8^5 + 77003273411/12424647790*c_1001_8^4 + 125927436854/6212323895*c_1001_8^3 - 122159877174/6212323895*c_1001_8^2 - 977116624079/12424647790*c_1001_8 - 717364279971/12424647790, c_0011_0 - 1, c_0011_10 + 2412625/40079509*c_1001_8^7 + 2044520/40079509*c_1001_8^6 + 16282534/40079509*c_1001_8^5 - 56165093/40079509*c_1001_8^4 + 17993692/40079509*c_1001_8^3 + 120425717/40079509*c_1001_8^2 + 7637542/40079509*c_1001_8 + 33503792/40079509, c_0011_11 - 541117/40079509*c_1001_8^7 - 958839/40079509*c_1001_8^6 - 3954001/40079509*c_1001_8^5 + 8859910/40079509*c_1001_8^4 + 7023918/40079509*c_1001_8^3 - 39800126/40079509*c_1001_8^2 - 4756450/40079509*c_1001_8 + 4511653/40079509, c_0011_12 + 1662647/40079509*c_1001_8^7 + 793729/40079509*c_1001_8^6 + 10723110/40079509*c_1001_8^5 - 44233322/40079509*c_1001_8^4 + 23239665/40079509*c_1001_8^3 + 72957462/40079509*c_1001_8^2 - 9705423/40079509*c_1001_8 + 48658585/40079509, c_0011_3 - 1, c_0011_8 + 1349766/40079509*c_1001_8^7 + 1821114/40079509*c_1001_8^6 + 10251671/40079509*c_1001_8^5 - 25600161/40079509*c_1001_8^4 - 4076779/40079509*c_1001_8^3 + 62620370/40079509*c_1001_8^2 + 29205494/40079509*c_1001_8 + 42879218/40079509, c_0101_1 + 460696/40079509*c_1001_8^7 - 37447/40079509*c_1001_8^6 + 2142825/40079509*c_1001_8^5 - 14075287/40079509*c_1001_8^4 + 6711104/40079509*c_1001_8^3 + 28345612/40079509*c_1001_8^2 - 30258800/40079509*c_1001_8 - 17029992/40079509, c_0101_10 - 40894/40079509*c_1001_8^7 + 772210/40079509*c_1001_8^6 - 395698/40079509*c_1001_8^5 + 5038850/40079509*c_1001_8^4 - 26756979/40079509*c_1001_8^3 + 18084250/40079509*c_1001_8^2 + 47928942/40079509*c_1001_8 + 4780010/40079509, c_0101_13 - 1349766/40079509*c_1001_8^7 - 1821114/40079509*c_1001_8^6 - 10251671/40079509*c_1001_8^5 + 25600161/40079509*c_1001_8^4 + 4076779/40079509*c_1001_8^3 - 62620370/40079509*c_1001_8^2 - 29205494/40079509*c_1001_8 - 42879218/40079509, c_0101_3 - 2719684/40079509*c_1001_8^7 - 3716452/40079509*c_1001_8^6 - 20041681/40079509*c_1001_8^5 + 53791207/40079509*c_1001_8^4 + 12527252/40079509*c_1001_8^3 - 132984599/40079509*c_1001_8^2 - 70194819/40079509*c_1001_8 - 62625156/40079509, c_0101_6 + 193164/40079509*c_1001_8^7 + 59117/40079509*c_1001_8^6 - 200844/40079509*c_1001_8^5 - 6194946/40079509*c_1001_8^4 - 3259953/40079509*c_1001_8^3 + 45325494/40079509*c_1001_8^2 - 9871885/40079509*c_1001_8 - 28853007/40079509, c_1001_10 + 792952/40079509*c_1001_8^7 + 629440/40079509*c_1001_8^6 + 4491403/40079509*c_1001_8^5 - 19863336/40079509*c_1001_8^4 - 2090759/40079509*c_1001_8^3 + 60477609/40079509*c_1001_8^2 + 1990644/40079509*c_1001_8 + 29181004/40079509, c_1001_13 - 541117/40079509*c_1001_8^7 - 958839/40079509*c_1001_8^6 - 3954001/40079509*c_1001_8^5 + 8859910/40079509*c_1001_8^4 + 7023918/40079509*c_1001_8^3 - 39800126/40079509*c_1001_8^2 - 4756450/40079509*c_1001_8 + 4511653/40079509, c_1001_3 - 1001813/40079509*c_1001_8^7 - 921392/40079509*c_1001_8^6 - 6096826/40079509*c_1001_8^5 + 22935197/40079509*c_1001_8^4 + 312814/40079509*c_1001_8^3 - 68145738/40079509*c_1001_8^2 - 14577159/40079509*c_1001_8 + 21541645/40079509, c_1001_8^8 + 2*c_1001_8^7 + 8*c_1001_8^6 - 15*c_1001_8^5 - 18*c_1001_8^4 + 54*c_1001_8^3 + 54*c_1001_8^2 + 28*c_1001_8 + 31 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 168.140 Total time: 168.349 seconds, Total memory usage: 1012.12MB