Magma V2.19-8 Tue Aug 20 2013 16:17:04 on localhost [Seed = 1781266104] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1321 geometric_solution 5.20576583 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 -1 -1 2 1 0 -2 1 0 -1 0 1 1 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508412514849 0.547932681574 0 3 2 4 0132 0132 1230 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 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 1.090030029974 0.980704194460 3 0 4 1 2310 0132 3201 3012 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 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 1.090030029974 0.980704194460 3 1 2 3 3201 0132 3201 2310 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.326511152939 0.718093990025 2 5 1 5 2310 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 -1 1 0 -1 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 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.409049445517 0.468931393203 6 4 6 4 0132 0132 2310 1023 0 0 0 0 0 0 1 -1 0 0 0 0 0 1 0 -1 -1 1 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 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.889587246061 0.328092820066 5 5 6 6 0132 3201 1230 3012 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 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 0.584351114329 0.203588469983 ==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' : negation(d['1']), 's_2_0' : negation(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_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_0_6' : 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_1100_6' : d['c_0101_5'], 'c_1100_5' : d['c_0011_4'], '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_0101_0'], 'c_1100_3' : 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_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_4'], '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_4'], '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' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(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_0011_4']), 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(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_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t - 70893114982163514/5476254009789967*c_0101_5*c_0101_6^13 + 636079630607662296/5476254009789967*c_0101_5*c_0101_6^12 - 1674277259123841901/10952508019579934*c_0101_5*c_0101_6^11 - 1472166319628341263/5476254009789967*c_0101_5*c_0101_6^10 - 6010279194464291030/5476254009789967*c_0101_5*c_0101_6^9 - 8676137767170886147/5476254009789967*c_0101_5*c_0101_6^8 + 20978411559564133321/10952508019579934*c_0101_5*c_0101_6^7 + 55976419665303623637/10952508019579934*c_0101_5*c_0101_6^6 + 35719165509894239297/10952508019579934*c_0101_5*c_0101_6^5 - 13745737699242150951/10952508019579934*c_0101_5*c_0101_6^4 - 17496828599847709927/5476254009789967*c_0101_5*c_0101_6^3 - 18768794447955290165/10952508019579934*c_0101_5*c_0101_6^2 - 2433397300847361456/5476254009789967*c_0101_5*c_0101_6 - 1450038628359075737/10952508019579934*c_0101_5, c_0011_0 - 1, c_0011_4 - 17108962493521/133567170970487*c_0101_5*c_0101_6^13 + 166544597875094/133567170970487*c_0101_5*c_0101_6^12 - 325949421097186/133567170970487*c_0101_5*c_0101_6^11 - 135995165728055/133567170970487*c_0101_5*c_0101_6^10 - 1291775677179805/133567170970487*c_0101_5*c_0101_6^9 - 1066928628560403/133567170970487*c_0101_5*c_0101_6^8 + 3535831687549047/133567170970487*c_0101_5*c_0101_6^7 + 4213732596305514/133567170970487*c_0101_5*c_0101_6^6 + 335590711129460/133567170970487*c_0101_5*c_0101_6^5 - 2840195435662632/133567170970487*c_0101_5*c_0101_6^4 - 1705655995557620/133567170970487*c_0101_5*c_0101_6^3 + 91152836998754/133567170970487*c_0101_5*c_0101_6^2 - 272492199040932/133567170970487*c_0101_5*c_0101_6 - 106651562132491/133567170970487*c_0101_5, c_0101_0 + 16519539414292/133567170970487*c_0101_6^13 - 159697751381226/133567170970487*c_0101_6^12 + 311308135728522/133567170970487*c_0101_6^11 + 79107508260729/133567170970487*c_0101_6^10 + 1409866483155123/133567170970487*c_0101_6^9 + 1153193489692396/133567170970487*c_0101_6^8 - 2804200724506404/133567170970487*c_0101_6^7 - 3977397142510916/133567170970487*c_0101_6^6 - 2296873515356778/133567170970487*c_0101_6^5 + 1026788613209768/133567170970487*c_0101_6^4 + 2108960241032417/133567170970487*c_0101_6^3 + 1752518438869447/133567170970487*c_0101_6^2 + 971622680766664/133567170970487*c_0101_6 - 56095790809563/133567170970487, c_0101_1 - 3950841074654/133567170970487*c_0101_6^13 + 49904480170244/133567170970487*c_0101_6^12 - 196966263720351/133567170970487*c_0101_6^11 + 292222369355141/133567170970487*c_0101_6^10 - 459971322311422/133567170970487*c_0101_6^9 + 674004278023432/133567170970487*c_0101_6^8 + 727230823309911/133567170970487*c_0101_6^7 - 1636113163752264/133567170970487*c_0101_6^6 - 519798832349781/133567170970487*c_0101_6^5 + 381517346613129/133567170970487*c_0101_6^4 + 1077588472149215/133567170970487*c_0101_6^3 + 132247219568234/133567170970487*c_0101_6^2 - 536115605741465/133567170970487*c_0101_6 + 136446474517740/133567170970487, c_0101_2 + 16037424966120/133567170970487*c_0101_5*c_0101_6^13 - 146504690704781/133567170970487*c_0101_5*c_0101_6^12 + 213439280114115/133567170970487*c_0101_5*c_0101_6^11 + 291716645855158/133567170970487*c_0101_5*c_0101_6^10 + 1363008918645523/133567170970487*c_0101_5*c_0101_6^9 + 1626478009942773/133567170970487*c_0101_5*c_0101_6^8 - 2583767939587172/133567170970487*c_0101_5*c_0101_6^7 - 6254181230818296/133567170970487*c_0101_5*c_0101_6^6 - 3153742523099695/133567170970487*c_0101_5*c_0101_6^5 + 3035913161407328/133567170970487*c_0101_5*c_0101_6^4 + 3873070486944202/133567170970487*c_0101_5*c_0101_6^3 + 1455561369747296/133567170970487*c_0101_5*c_0101_6^2 - 62272901998227/133567170970487*c_0101_5*c_0101_6 - 136415969742723/133567170970487*c_0101_5, c_0101_5^2 - 6826759057606/133567170970487*c_0101_6^13 + 62998378276551/133567170970487*c_0101_6^12 - 96860517988425/133567170970487*c_0101_6^11 - 115699823903720/133567170970487*c_0101_6^10 - 551731575302995/133567170970487*c_0101_6^9 - 694945894360305/133567170970487*c_0101_6^8 + 1179602901595501/133567170970487*c_0101_6^7 + 2372630704822043/133567170970487*c_0101_6^6 + 1135400468775565/133567170970487*c_0101_6^5 - 941587824328068/133567170970487*c_0101_6^4 - 1428622933929858/133567170970487*c_0101_6^3 - 578008361661203/133567170970487*c_0101_6^2 - 100930269438897/133567170970487*c_0101_6 - 55303583056689/133567170970487, c_0101_6^14 - 9*c_0101_6^13 + 12*c_0101_6^12 + 21*c_0101_6^11 + 83*c_0101_6^10 + 120*c_0101_6^9 - 156*c_0101_6^8 - 393*c_0101_6^7 - 230*c_0101_6^6 + 116*c_0101_6^5 + 246*c_0101_6^4 + 117*c_0101_6^3 + 24*c_0101_6^2 + 8*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB