Magma V2.19-8 Tue Aug 20 2013 23:48:57 on localhost [Seed = 2917910332] Type ? for help. Type -D to quit. Loading file "L12n1244__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1244 geometric_solution 11.21418812 oriented_manifold CS_known 0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 0 1 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 0 -1 -3 0 4 -1 4 0 0 -4 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.336072806337 1.021639179212 0 5 7 6 0132 0132 0132 0132 1 0 1 0 0 -1 1 0 -1 0 0 1 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 -1 1 0 3 0 0 -3 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.290546609577 0.883242541896 5 0 6 7 0132 0132 3201 3201 1 0 1 0 0 0 0 0 0 0 -1 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 0 0 4 -4 0 1 0 -1 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.290546609577 0.883242541896 4 8 9 0 1302 0132 0132 0132 1 0 1 1 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 4 0 0 -4 2 -1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000000 1.000000000000 6 3 0 9 3201 2031 0132 0132 1 0 1 0 0 -1 0 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 -2 1 1 -1 0 1 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.111152961358 0.833456242000 2 1 10 11 0132 0132 0132 0132 1 0 0 1 0 1 0 -1 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 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.336072806337 1.021639179212 2 8 1 4 2310 2310 0132 2310 1 0 0 1 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 0 0 0 -3 0 3 0 -4 3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.663927193663 1.021639179212 11 2 9 1 0132 2310 2103 0132 1 0 0 1 0 1 0 -1 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 0 -1 0 0 0 0 0 4 0 -4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.663927193663 1.021639179212 11 3 10 6 3120 0132 3120 3201 1 0 1 1 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 3 -3 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.833456242000 0.888847038642 7 10 4 3 2103 2103 0132 0132 1 0 1 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 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 0.203652033841 1.086894575736 11 9 8 5 1302 2103 3120 0132 1 0 1 1 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 -1 1 0 3 0 -3 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 -0.000000000000 1.000000000000 7 10 5 8 0132 2031 0132 3120 1 0 1 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 -1 1 0 0 0 0 0 -1 0 0 1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.111152961358 0.833456242000 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_5']), 'c_1001_10' : d['c_0011_9'], 'c_1001_5' : negation(d['c_1001_3']), 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_7' : d['c_0011_9'], 'c_1001_6' : negation(d['c_1001_3']), 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : negation(d['c_0011_9']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_0']), 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_0011_9']), 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_1001_3']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : 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_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : 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_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_11'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : negation(d['c_0101_8']), 'c_1100_10' : negation(d['c_0101_8']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : negation(d['c_0011_9']), 'c_1010_2' : negation(d['c_0011_9']), 'c_1010_1' : negation(d['c_1001_3']), 'c_1010_0' : negation(d['c_0101_0']), 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_1001_3'], 'c_1100_8' : d['c_0011_11'], 's_3_1' : d['1'], 's_3_0' : 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'], '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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_7'], 'c_0110_10' : d['c_0101_5'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_4']), 'c_0110_8' : d['c_0101_7'], '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_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_5, c_0101_7, c_0101_8, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 1899591410842720/292903417157*c_1100_0^11 + 14317658835573612/292903417157*c_1100_0^10 + 23481943919473640/292903417157*c_1100_0^9 + 4844160532401728/22531032089*c_1100_0^8 + 541051929563690848/292903417157*c_1100_0^7 + 1244539950831817608/292903417157*c_1100_0^6 + 1671717516512369672/292903417157*c_1100_0^5 + 103947741384182944/22531032089*c_1100_0^4 + 660564972808800008/292903417157*c_1100_0^3 + 13098771641883720/22531032089*c_1100_0^2 + 19087656248835656/292903417157*c_1100_0 - 1331632469248192/292903417157, c_0011_0 - 1, c_0011_10 - 1887062961/10100117833*c_1100_0^11 - 12693788013/10100117833*c_1100_0^10 - 12041461987/10100117833*c_1100_0^9 - 6977040337/1553864282*c_1100_0^8 - 488756945286/10100117833*c_1100_0^7 - 807362977117/10100117833*c_1100_0^6 - 724537678980/10100117833*c_1100_0^5 - 8902977617/776932141*c_1100_0^4 + 292897205572/10100117833*c_1100_0\ ^3 + 21438356662/776932141*c_1100_0^2 + 87215691586/10100117833*c_1100_0 + 14761446708/10100117833, c_0011_11 - 34177014475/20200235666*c_1100_0^11 - 261042694629/20200235666*c_1100_0^10 - 449379628081/20200235666*c_1100_0^9 - 90938128297/1553864282*c_1100_0^8 - 4928338257969/10100117833*c_1100_0^7 - 11699988370206/10100117833*c_1100_0^6 - 16294855592956/10100117833*c_1100_0^5 - 1070000712423/776932141*c_1100_0^4 - 7469604229125/10100117833*c_1100_0^3 - 180451890797/776932141*c_1100_0^2 - 432921214699/10100117833*c_1100_0 - 25870385444/10100117833, c_0011_4 - 17333566623/20200235666*c_1100_0^11 - 125189630777/20200235666*c_1100_0^10 - 173619028925/20200235666*c_1100_0^9 - 39277272523/1553864282*c_1100_0^8 - 2380399898819/10100117833*c_1100_0^7 - 4908077951071/10100117833*c_1100_0^6 - 5904554667922/10100117833*c_1100_0^5 - 299855636206/776932141*c_1100_0^4 - 1233159645983/10100117833*c_1100_0^3 + 5594201285/776932141*c_1100_0^2 + 122194269829/10100117833*c_1100_0 + 39321256035/10100117833, c_0011_9 - 7475562544/10100117833*c_1100_0^11 - 119671950243/20200235666*c_1100_0^10 - 118888868233/10100117833*c_1100_0^9 - 22473312279/776932141*c_1100_0^8 - 2246511198943/10100117833*c_1100_0^7 - 11794830831959/20200235666*c_1100_0^6 - 8911687662952/10100117833*c_1100_0^5 - 1304357996983/1553864282*c_1100_0^4 - 5209393419912/10100117833*c_1100_0^3 - 153201124994/776932141*c_1100_0^2 - 454213395239/10100117833*c_1100_0 - 50827836004/10100117833, c_0101_0 - 11937202639/20200235666*c_1100_0^11 - 96451041929/20200235666*c_1100_0^10 - 194901978143/20200235666*c_1100_0^9 - 35792126539/1553864282*c_1100_0^8 - 1800789520748/10100117833*c_1100_0^7 - 4812578295705/10100117833*c_1100_0^6 - 7173563323752/10100117833*c_1100_0^5 - 515866494167/776932141*c_1100_0^4 - 3954723283195/10100117833*c_1100_0^3 - 107999346653/776932141*c_1100_0^2 - 284735949585/10100117833*c_1100_0 - 30988990619/10100117833, c_0101_1 - 1, c_0101_5 + 5508697157/20200235666*c_1100_0^11 + 30851562201/20200235666*c_1100_0^10 - 12519617307/20200235666*c_1100_0^9 + 3750923095/1553864282*c_1100_0^8 + 605058139390/10100117833*c_1100_0^7 + 281128930604/10100117833*c_1100_0^6 - 1105526632958/10100117833*c_1100_0^5 - 219721683238/776932141*c_1100_0^4 - 2991851010235/10100117833*c_1100_0^3 - 134681972151/776932141*c_1100_0^2 - 510892022975/10100117833*c_1100_0 - 82402426290/10100117833, c_0101_7 + 10303527084/10100117833*c_1100_0^11 + 77132994343/10100117833*c_1100_0^10 + 123980360862/10100117833*c_1100_0^9 + 26093237008/776932141*c_1100_0^8 + 2922597929308/10100117833*c_1100_0^7 + 6617646367058/10100117833*c_1100_0^6 + 8882149758830/10100117833*c_1100_0^5 + 552018876000/776932141*c_1100_0^4 + 3596547845538/10100117833*c_1100_0^3 + 77479444582/776932141*c_1100_0^2 + 178879922778/10100117833*c_1100_0 + 6941137113/10100117833, c_0101_8 + 10263257837/10100117833*c_1100_0^11 + 79090985489/10100117833*c_1100_0^10 + 140581369447/10100117833*c_1100_0^9 + 28171479473/776932141*c_1100_0^8 + 2986969407412/10100117833*c_1100_0^7 + 7237853065081/10100117833*c_1100_0^6 + 10342818005994/10100117833*c_1100_0^5 + 706215050975/776932141*c_1100_0^4 + 5263257602828/10100117833*c_1100_0^3 + 143035817472/776932141*c_1100_0^2 + 416415305453/10100117833*c_1100_0 + 38734395230/10100117833, c_1001_3 + 946161382/10100117833*c_1100_0^11 + 16181113609/20200235666*c_1100_0^10 + 18991431345/10100117833*c_1100_0^9 + 3357115608/776932141*c_1100_0^8 + 301427160207/10100117833*c_1100_0^7 + 1788990006311/20200235666*c_1100_0^6 + 1478613262082/10100117833*c_1100_0^5 + 235932155451/1553864282*c_1100_0^4 + 1027051163230/10100117833*c_1100_0^3 + 32844967088/776932141*c_1100_0^2 + 100902089289/10100117833*c_1100_0 + 14363805475/10100117833, c_1100_0^12 + 8*c_1100_0^11 + 16*c_1100_0^10 + 40*c_1100_0^9 + 302*c_1100_0^8 + 792*c_1100_0^7 + 1226*c_1100_0^6 + 1216*c_1100_0^5 + 810*c_1100_0^4 + 360*c_1100_0^3 + 108*c_1100_0^2 + 20*c_1100_0 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.180 Total time: 1.389 seconds, Total memory usage: 32.09MB