Magma V2.19-8 Tue Aug 20 2013 23:39:26 on localhost [Seed = 4173241506] Type ? for help. Type -D to quit. Loading file "K13n446__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n446 geometric_solution 9.96524504 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 11 1 1 2 3 0132 1230 0132 0132 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 -1 0 1 1 0 0 -1 1 0 0 -1 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.808192190439 0.970228336953 0 4 0 5 0132 0132 3012 0132 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 4 -4 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 0.493143149445 0.608477643072 6 7 8 0 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 0 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 -4 0 0 4 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.379974843211 0.511856900703 9 10 0 6 0132 0132 0132 2031 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 -1 1 0 0 1 -1 -4 0 0 4 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.204685788682 1.197595920235 5 1 10 9 3120 0132 2031 2103 0 0 0 0 0 1 -1 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 -4 4 0 0 0 0 0 1 -1 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.626400721794 0.255766920270 6 8 1 4 2103 3012 0132 3120 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.258099857738 0.814460558107 2 3 5 9 0132 1302 2103 0132 0 0 0 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 1 -1 0 0 0 0 0 -3 -1 0 4 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.554929205988 1.082461334941 7 2 10 7 3201 0132 0321 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570768418046 1.156404633113 5 10 9 2 1230 3012 3012 0132 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 -3 0 3 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399162398149 0.571075667366 3 8 6 4 0132 1230 0132 2103 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 1 -1 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.384993985442 0.871470407197 8 3 7 4 1230 0132 0321 1302 0 0 0 0 0 0 0 0 -1 0 0 1 -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 3 0 0 -3 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.306201487625 0.658432902452 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_2']), 'c_1001_5' : negation(d['c_0011_8']), 'c_1001_4' : negation(d['c_0011_8']), 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_10']), 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_10' : d['c_0101_1'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0110_4']), 'c_1100_8' : negation(d['c_1001_9']), 'c_1100_5' : negation(d['c_0101_4']), 'c_1100_4' : negation(d['c_0101_1']), 'c_1100_7' : negation(d['c_0011_2']), 'c_1100_6' : negation(d['c_0110_4']), 'c_1100_1' : negation(d['c_0101_4']), 'c_1100_0' : negation(d['c_1001_9']), 'c_1100_3' : negation(d['c_1001_9']), 'c_1100_2' : negation(d['c_1001_9']), 'c_1100_10' : d['c_0101_4'], 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : d['c_1001_9'], 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0011_2']), 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0011_8']), 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0011_0'], 'c_1010_8' : negation(d['c_0101_10']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(d['1']), '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' : negation(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_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0110_10' : d['c_0011_8'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_5'], 'c_0101_8' : d['c_0011_0'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_4'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0011_5']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_2, c_0011_5, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_4, c_0110_4, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 5815562942153/597135908*c_1001_9^16 - 96590767388975/2089975678*c_1001_9^15 + 353339341443671/4179951356*c_1001_9^14 - 783797221256995/4179951356*c_1001_9^13 + 1917631582694409/4179951356*c_1001_9^12 - 2394222490132621/4179951356*c_1001_9^11 + 1336574975383667/2089975678*c_1001_9^10 - 619364091051379/597135908*c_1001_9^9 + 3879240822603911/4179951356*c_1001_9^8 - 845405951567097/2089975678*c_1001_9^7 + 2211533957070705/4179951356*c_1001_9^6 - 815700211409294/1044987839*c_1001_9^5 + 715893388151178/1044987839*c_1001_9^4 - 1623945563740943/4179951356*c_1001_9^3 - 14414133055059/4179951356*c_1001_9^2 + 392947906883555/4179951356*c_1001_9 + 3565426015511/1044987839, c_0011_0 - 1, c_0011_10 - 52219048/149283977*c_1001_9^16 + 246157011/149283977*c_1001_9^15 - 479499078/149283977*c_1001_9^14 + 1124374483/149283977*c_1001_9^13 - 2611410967/149283977*c_1001_9^12 + 3495372228/149283977*c_1001_9^11 - 4520951081/149283977*c_1001_9^10 + 6489776448/149283977*c_1001_9^9 - 6289712668/149283977*c_1001_9^8 + 4564506588/149283977*c_1001_9^7 - 4140437951/149283977*c_1001_9^6 + 4910363898/149283977*c_1001_9^5 - 5128684913/149283977*c_1001_9^4 + 3543010801/149283977*c_1001_9^3 - 1208488477/149283977*c_1001_9^2 + 97523196/149283977*c_1001_9 + 101349131/149283977, c_0011_2 + 15735033/149283977*c_1001_9^16 - 77304293/149283977*c_1001_9^15 + 141622844/149283977*c_1001_9^14 - 301168822/149283977*c_1001_9^13 + 754132362/149283977*c_1001_9^12 - 911166724/149283977*c_1001_9^11 + 939027972/149283977*c_1001_9^10 - 1608883269/149283977*c_1001_9^9 + 1253566178/149283977*c_1001_9^8 - 378684488/149283977*c_1001_9^7 + 589191841/149283977*c_1001_9^6 - 972881904/149283977*c_1001_9^5 + 948057321/149283977*c_1001_9^4 - 371679532/149283977*c_1001_9^3 - 369959155/149283977*c_1001_9^2 + 174037768/149283977*c_1001_9 - 75834670/149283977, c_0011_5 - c_1001_9, c_0011_8 + 2115/21733*c_1001_9^16 - 9252/21733*c_1001_9^15 + 13328/21733*c_1001_9^14 - 30517/21733*c_1001_9^13 + 84035/21733*c_1001_9^12 - 77321/21733*c_1001_9^11 + 71931/21733*c_1001_9^10 - 188246/21733*c_1001_9^9 + 109476/21733*c_1001_9^8 + 10881/21733*c_1001_9^7 + 135733/21733*c_1001_9^6 - 163969/21733*c_1001_9^5 + 76785/21733*c_1001_9^4 - 35873/21733*c_1001_9^3 - 11929/21733*c_1001_9^2 - 8817/21733*c_1001_9 + 20126/21733, c_0101_0 - 49644565/149283977*c_1001_9^16 + 191633215/149283977*c_1001_9^15 - 277137547/149283977*c_1001_9^14 + 774300189/149283977*c_1001_9^13 - 1750385991/149283977*c_1001_9^12 + 1640646045/149283977*c_1001_9^11 - 2427254917/149283977*c_1001_9^10 + 3726322800/149283977*c_1001_9^9 - 2327061361/149283977*c_1001_9^8 + 1385644139/149283977*c_1001_9^7 - 2135499473/149283977*c_1001_9^6 + 2654971246/149283977*c_1001_9^5 - 1966542844/149283977*c_1001_9^4 + 782382805/149283977*c_1001_9^3 - 270320551/149283977*c_1001_9^2 - 89476594/149283977*c_1001_9 + 18358638/149283977, c_0101_1 - 24819001/149283977*c_1001_9^16 + 66940505/149283977*c_1001_9^15 - 23419983/149283977*c_1001_9^14 + 212507233/149283977*c_1001_9^13 - 408089700/149283977*c_1001_9^12 - 247619610/149283977*c_1001_9^11 - 160471115/149283977*c_1001_9^10 + 380305189/149283977*c_1001_9^9 + 1150164237/149283977*c_1001_9^8 - 761664916/149283977*c_1001_9^7 - 184511517/149283977*c_1001_9^6 - 104287124/149283977*c_1001_9^5 + 412040266/149283977*c_1001_9^4 - 1055421840/149283977*c_1001_9^3 + 673750830/149283977*c_1001_9^2 + 27689029/149283977*c_1001_9 - 35192368/149283977, c_0101_10 - 24025916/149283977*c_1001_9^16 + 96420720/149283977*c_1001_9^15 - 134437870/149283977*c_1001_9^14 + 348942717/149283977*c_1001_9^13 - 846039582/149283977*c_1001_9^12 + 725195418/149283977*c_1001_9^11 - 894269568/149283977*c_1001_9^10 + 1635404478/149283977*c_1001_9^9 - 716499675/149283977*c_1001_9^8 - 17220/149283977*c_1001_9^7 - 571284358/149283977*c_1001_9^6 + 818336273/149283977*c_1001_9^5 - 682625423/149283977*c_1001_9^4 + 74897518/149283977*c_1001_9^3 + 491822084/149283977*c_1001_9^2 - 170390329/149283977*c_1001_9 + 66746983/149283977, c_0101_4 - 20673329/149283977*c_1001_9^16 + 49576408/149283977*c_1001_9^15 + 2264022/149283977*c_1001_9^14 + 151991686/149283977*c_1001_9^13 - 260870701/149283977*c_1001_9^12 - 388451973/149283977*c_1001_9^11 + 3572114/149283977*c_1001_9^10 + 96234624/149283977*c_1001_9^9 + 1322860595/149283977*c_1001_9^8 - 887238057/149283977*c_1001_9^7 - 59955724/149283977*c_1001_9^6 - 213395695/149283977*c_1001_9^5 + 758766904/149283977*c_1001_9^4 - 928156439/149283977*c_1001_9^3 + 282997482/149283977*c_1001_9^2 + 17066152/149283977*c_1001_9 - 37507059/149283977, c_0110_4 - 20673329/149283977*c_1001_9^16 + 49576408/149283977*c_1001_9^15 + 2264022/149283977*c_1001_9^14 + 151991686/149283977*c_1001_9^13 - 260870701/149283977*c_1001_9^12 - 388451973/149283977*c_1001_9^11 + 3572114/149283977*c_1001_9^10 + 96234624/149283977*c_1001_9^9 + 1322860595/149283977*c_1001_9^8 - 887238057/149283977*c_1001_9^7 - 59955724/149283977*c_1001_9^6 - 213395695/149283977*c_1001_9^5 + 758766904/149283977*c_1001_9^4 - 928156439/149283977*c_1001_9^3 + 282997482/149283977*c_1001_9^2 + 17066152/149283977*c_1001_9 - 37507059/149283977, c_1001_9^17 - 5*c_1001_9^16 + 10*c_1001_9^15 - 22*c_1001_9^14 + 53*c_1001_9^13 - 73*c_1001_9^12 + 86*c_1001_9^11 - 130*c_1001_9^10 + 130*c_1001_9^9 - 78*c_1001_9^8 + 76*c_1001_9^7 - 99*c_1001_9^6 + 97*c_1001_9^5 - 67*c_1001_9^4 + 18*c_1001_9^3 + 5*c_1001_9^2 - 2*c_1001_9 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.340 seconds, Total memory usage: 32.09MB