Magma V2.19-8 Tue Aug 20 2013 16:16:53 on localhost [Seed = 2682127168] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1149 geometric_solution 5.02674252 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 1023 1023 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 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 0.402372455930 0.293593455583 0 3 0 4 0132 0132 1023 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 1 -1 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 0.378189021724 1.183364026034 3 0 4 0 3201 0132 3201 1023 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 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 0.378189021724 1.183364026034 3 1 3 2 2310 0132 3201 2310 0 0 0 0 0 0 0 0 1 0 -1 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 -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 0.006669108298 1.140511086972 2 5 1 5 2310 0132 0132 2310 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 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 0.548700180053 1.947680841607 4 4 6 6 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.272894999344 0.162659288653 5 6 5 6 2310 2310 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 -1.710481089796 0.471098266874 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 76303773377015226552/31968378882587773129*c_0101_6^16 + 177148452674423396686/31968378882587773129*c_0101_6^14 + 85555249954807953527/31968378882587773129*c_0101_6^12 - 1478432458001199779720/31968378882587773129*c_0101_6^10 - 5393369622768779073869/31968378882587773129*c_0101_6^8 - 1240935745082104842497/9133822537882220894*c_0101_6^6 - 6881439238468380758955/63936757765175546258*c_0101_6^4 - 2248582832803047264359/63936757765175546258*c_0101_6^2 - 28909398676440403731/4566911268941110447, c_0011_0 - 1, c_0011_4 + 9948406798939222188/31968378882587773129*c_0101_6^16 + 24394945435435874914/31968378882587773129*c_0101_6^14 + 12719254912113812582/31968378882587773129*c_0101_6^12 - 27875079861878268353/4566911268941110447*c_0101_6^10 - 729903108608101700896/31968378882587773129*c_0101_6^8 - 630346491860333020235/31968378882587773129*c_0101_6^6 - 415083183695043269796/31968378882587773129*c_0101_6^4 - 15703886812774439168/4566911268941110447*c_0101_6^2 + 1626502592652499025/4566911268941110447, c_0011_6 - 7019599246159777272/31968378882587773129*c_0101_6^16 - 16350019018130586738/31968378882587773129*c_0101_6^14 - 6353548341851103495/31968378882587773129*c_0101_6^12 + 19850789729096842165/4566911268941110447*c_0101_6^10 + 497180981265975610011/31968378882587773129*c_0101_6^8 + 370504267786085776723/31968378882587773129*c_0101_6^6 + 214253022978689395732/31968378882587773129*c_0101_6^4 + 9943249829752306497/4566911268941110447*c_0101_6^2 - 594959951536755149/4566911268941110447, c_0101_0 + 65737114243145316/127364059293178379*c_0101_6^17 + 119715134551774712/127364059293178379*c_0101_6^15 + 678103307928907/18194865613311197*c_0101_6^13 - 1290231548136061535/127364059293178379*c_0101_6^11 - 3996330511217638075/127364059293178379*c_0101_6^9 - 1567202334079599445/127364059293178379*c_0101_6^7 - 238702214575990653/18194865613311197*c_0101_6^5 - 94891719172277458/127364059293178379*c_0101_6^3 + 3841621652225016/18194865613311197*c_0101_6, c_0101_1 + 13648265397473195196/31968378882587773129*c_0101_6^17 + 21618778393220397454/31968378882587773129*c_0101_6^15 - 7583624552870324694/31968378882587773129*c_0101_6^13 - 272513410151305596498/31968378882587773129*c_0101_6^11 - 765580636697958549644/31968378882587773129*c_0101_6^9 - 75217038213442156336/31968378882587773129*c_0101_6^7 - 123073635219380487384/31968378882587773129*c_0101_6^5 + 107050492497475548174/31968378882587773129*c_0101_6^3 + 8401711441653596920/4566911268941110447*c_0101_6, c_0101_2 + 24497331492861306/127364059293178379*c_0101_6^17 + 41237081476770931/127364059293178379*c_0101_6^15 + 3667652996759506/127364059293178379*c_0101_6^13 - 465406189111698958/127364059293178379*c_0101_6^11 - 1421730968086161196/127364059293178379*c_0101_6^9 - 76239888359651870/18194865613311197*c_0101_6^7 - 1057000962994008817/127364059293178379*c_0101_6^5 - 168473075334305613/127364059293178379*c_0101_6^3 - 26050301741679632/18194865613311197*c_0101_6, c_0101_6^18 + 121/54*c_0101_6^16 + 26/27*c_0101_6^14 - 175/9*c_0101_6^12 - 1868/27*c_0101_6^10 - 1399/27*c_0101_6^8 - 2251/54*c_0101_6^6 - 175/18*c_0101_6^4 - 49/54*c_0101_6^2 + 49/54 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB