Magma V2.19-8 Tue Aug 20 2013 16:17:03 on localhost [Seed = 2800171636] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1303 geometric_solution 5.19127376 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 1230 3012 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.348803118207 0.172202924309 0 0 2 2 0132 2310 2310 0132 0 0 0 0 0 0 0 0 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 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 1.575600983118 1.044887287893 3 1 1 4 0132 3201 0132 0132 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 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 0.808277761365 0.292809973143 2 4 6 5 0132 0321 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 0 0 0 1 0 -1 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 0.965962325139 0.620980135741 6 5 2 3 0132 1023 0132 0321 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.965962325139 0.620980135741 4 5 3 5 1023 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.710751969513 0.426834403849 4 6 6 3 0132 1230 3012 0132 0 0 0 0 0 1 0 -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 1 -1 0 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 0.529174354559 0.564570201217 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : 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' : 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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0011_2'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_2'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_2'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 934468228073376996/365830487062531*c_0110_5^13 - 6831446789938949489/365830487062531*c_0110_5^12 + 24042566883340489133/365830487062531*c_0110_5^11 + 141085166587247428965/365830487062531*c_0110_5^10 - 209400716882726183759/365830487062531*c_0110_5^9 - 860057371393862423362/365830487062531*c_0110_5^8 + 687713490327155492340/365830487062531*c_0110_5^7 + 1787816645118000782750/365830487062531*c_0110_5^6 - 628064555353813751271/365830487062531*c_0110_5^5 - 921145379878558774479/365830487062531*c_0110_5^4 + 127320782511680843834/365830487062531*c_0110_5^3 + 103238090019379601110/365830487062531*c_0110_5^2 - 6958806848324964208/365830487062531*c_0110_5 - 2858102861415089367/365830487062531, c_0011_0 - 1, c_0011_2 + 26417364413177570/365830487062531*c_0110_5^13 + 193321702542828964/365830487062531*c_0110_5^12 - 678216672029287664/365830487062531*c_0110_5^11 - 3993362616487119562/365830487062531*c_0110_5^10 + 5889352727307629286/365830487062531*c_0110_5^9 + 24354312565657616612/365830487062531*c_0110_5^8 - 19254637900722336327/365830487062531*c_0110_5^7 - 50665098287451612627/365830487062531*c_0110_5^6 + 17360214371709759513/365830487062531*c_0110_5^5 + 26132161512243115378/365830487062531*c_0110_5^4 - 3390948806301171619/365830487062531*c_0110_5^3 - 2931205946244985728/365830487062531*c_0110_5^2 + 176193396973922170/365830487062531*c_0110_5 + 82881275043993427/365830487062531, c_0011_4 + 27359074044012128/365830487062531*c_0110_5^13 + 200107800626583831/365830487062531*c_0110_5^12 - 703187762243106597/365830487062531*c_0110_5^11 - 4133190915663075204/365830487062531*c_0110_5^10 + 6115784234925742061/365830487062531*c_0110_5^9 + 25202723034165610036/365830487062531*c_0110_5^8 - 20042618730954767018/365830487062531*c_0110_5^7 - 52417388494806532419/365830487062531*c_0110_5^6 + 18193644618328573985/365830487062531*c_0110_5^5 + 27043312684191134672/365830487062531*c_0110_5^4 - 3621900592454279858/365830487062531*c_0110_5^3 - 3047821998067024995/365830487062531*c_0110_5^2 + 191592251941751719/365830487062531*c_0110_5 + 87197559830423631/365830487062531, c_0101_0 - 23451668771887255/365830487062531*c_0110_5^13 - 171574839620329626/365830487062531*c_0110_5^12 + 602432477670263022/365830487062531*c_0110_5^11 + 3544167411368887634/365830487062531*c_0110_5^10 - 5235674983330684953/365830487062531*c_0110_5^9 - 21615394675920403492/365830487062531*c_0110_5^8 + 17140705680399418285/365830487062531*c_0110_5^7 + 44975534529022936517/365830487062531*c_0110_5^6 - 15518181039860297500/365830487062531*c_0110_5^5 - 23232189892287922985/365830487062531*c_0110_5^4 + 3071670667165756820/365830487062531*c_0110_5^3 + 2627147591374813903/365830487062531*c_0110_5^2 - 162326478520252949/365830487062531*c_0110_5 - 75572176679287288/365830487062531, c_0101_1 + 23195157112764953/365830487062531*c_0110_5^13 + 169661871248950775/365830487062531*c_0110_5^12 - 596114142147884968/365830487062531*c_0110_5^11 - 3504513043762378380/365830487062531*c_0110_5^10 + 5184000353511386244/365830487062531*c_0110_5^9 + 21371781510092019947/365830487062531*c_0110_5^8 - 16987223900586813285/365830487062531*c_0110_5^7 - 44462829072964176031/365830487062531*c_0110_5^6 + 15418062131855334046/365830487062531*c_0110_5^5 + 22966691022713734750/365830487062531*c_0110_5^4 - 3069967244814831044/365830487062531*c_0110_5^3 - 2600446903091371558/365830487062531*c_0110_5^2 + 162543709615205369/365830487062531*c_0110_5 + 74992980425783613/365830487062531, c_0101_3 + 2360504359842593/365830487062531*c_0110_5^13 + 17203157401931477/365830487062531*c_0110_5^12 - 61116099947878704/365830487062531*c_0110_5^11 - 354971123111828386/365830487062531*c_0110_5^10 + 536816113027021319/365830487062531*c_0110_5^9 + 2159720519580512138/365830487062531*c_0110_5^8 - 1784270085750508310/365830487062531*c_0110_5^7 - 4471887628295526913/365830487062531*c_0110_5^6 + 1680290999610931111/365830487062531*c_0110_5^5 + 2281990395234067027/365830487062531*c_0110_5^4 - 362635602494590325/365830487062531*c_0110_5^3 - 250380452482017319/365830487062531*c_0110_5^2 + 19596195931317145/365830487062531*c_0110_5 + 6867442107387121/365830487062531, c_0110_5^14 + 7*c_0110_5^13 - 28*c_0110_5^12 - 143*c_0110_5^11 + 271*c_0110_5^10 + 851*c_0110_5^9 - 1022*c_0110_5^8 - 1686*c_0110_5^7 + 1267*c_0110_5^6 + 780*c_0110_5^5 - 443*c_0110_5^4 - 70*c_0110_5^3 + 42*c_0110_5^2 + c_0110_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB