Magma V2.19-8 Tue Aug 20 2013 23:40:05 on localhost [Seed = 2968966169] Type ? for help. Type -D to quit. Loading file "K14n3411__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n3411 geometric_solution 9.97695527 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 1 0 -1 0 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.756046248518 0 5 7 6 0132 0132 0132 0132 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 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 0.668632592531 0.943501797172 8 0 3 5 0132 0132 3201 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 -1 0 -1 0 1 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.196810666275 0.708170339581 2 9 10 0 2310 0132 0132 0132 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 0 0 0 0 -1 0 0 1 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.324567266034 1.167868161589 6 7 0 10 0132 1023 0132 0132 0 0 0 0 0 1 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 0 -1 -1 2 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.067422222167 1.166871914858 7 1 2 9 1230 0132 0132 2310 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 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.412496894831 0.709561457611 4 9 1 10 0132 0213 0132 2031 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 0 0 0 0 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.312684772005 1.182293493904 4 5 8 1 1023 3012 3012 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 1 0 0 -1 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.074077133004 1.282048014091 2 7 9 10 0132 1230 0132 2310 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 1 0 -1 0 0 2 0 -2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.324567266034 1.242493711005 5 3 6 8 3201 0132 0213 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 -1 0 0 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 -0.687315227995 1.182293493904 8 6 4 3 3201 1302 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 2 -2 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.196810666275 0.753421680794 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_1'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_7' : negation(d['c_0011_0']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_3']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_3'], 'c_1010_10' : 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_10' : d['c_0101_0'], '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' : negation(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' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_10'], 'c_1100_8' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1001_3']), 'c_1100_6' : negation(d['c_1001_3']), 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_3']), 'c_1100_10' : d['c_1100_0'], 'c_1010_7' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_0101_3']), 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : negation(d['c_0101_3']), 's_3_1' : d['1'], 's_3_0' : 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' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : 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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_3'], 'c_0101_7' : negation(d['c_0101_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_4']), 'c_0101_8' : d['c_0101_5'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : negation(d['c_0101_0']), '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_0011_4'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_1001_0, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 28642509981/104025088*c_1100_0^11 - 1201060219057/624150528*c_1100_0^10 + 5893117630651/1248301056*c_1100_0^9 - 5122328751623/832200704*c_1100_0^8 + 10791237299101/1248301056*c_1100_0^7 - 1332144631183/156037632*c_1100_0^6 + 1899313550221/416100352*c_1100_0^5 - 407622255499/1248301056*c_1100_0^4 - 463380986243/416100352*c_1100_0^3 + 284498697919/208050176*c_1100_0^2 - 76130663813/624150528*c_1100_0 + 189060748027/2496602112, c_0011_0 - 1, c_0011_10 + 603/452*c_1100_0^11 - 212503/26216*c_1100_0^10 + 762481/52432*c_1100_0^9 - 1051471/104864*c_1100_0^8 + 1756129/104864*c_1100_0^7 - 583821/104864*c_1100_0^6 - 1131281/104864*c_1100_0^5 + 1611639/104864*c_1100_0^4 - 565053/104864*c_1100_0^3 + 20125/104864*c_1100_0^2 + 553915/104864*c_1100_0 + 32795/26216, c_0011_3 + 81199/104864*c_1100_0^11 - 1129769/209728*c_1100_0^10 + 5510339/419456*c_1100_0^9 - 14487821/838912*c_1100_0^8 + 10569161/419456*c_1100_0^7 - 2664045/104864*c_1100_0^6 + 5974907/419456*c_1100_0^5 - 1799303/419456*c_1100_0^4 - 572229/419456*c_1100_0^3 + 879403/209728*c_1100_0^2 + 2901/209728*c_1100_0 - 149941/838912, c_0011_4 - 109103/52432*c_1100_0^11 + 1410505/104864*c_1100_0^10 - 5863651/209728*c_1100_0^9 + 11451117/419456*c_1100_0^8 - 8459281/209728*c_1100_0^7 + 1613207/52432*c_1100_0^6 - 231875/209728*c_1100_0^5 - 3055393/209728*c_1100_0^4 + 1422829/209728*c_1100_0^3 - 490719/104864*c_1100_0^2 - 331921/104864*c_1100_0 - 78683/419456, c_0101_0 - 124857/104864*c_1100_0^11 + 1637727/209728*c_1100_0^10 - 7020597/419456*c_1100_0^9 + 14432507/838912*c_1100_0^8 - 10375611/419456*c_1100_0^7 + 533071/26216*c_1100_0^6 - 1470625/419456*c_1100_0^5 - 2928771/419456*c_1100_0^4 + 1053103/419456*c_1100_0^3 - 289079/209728*c_1100_0^2 - 616729/209728*c_1100_0 - 349925/838912, c_0101_1 - 128439/104864*c_1100_0^11 + 1794817/209728*c_1100_0^10 - 8649803/419456*c_1100_0^9 + 20878341/838912*c_1100_0^8 - 13767465/419456*c_1100_0^7 + 3323815/104864*c_1100_0^6 - 5046043/419456*c_1100_0^5 - 2412377/419456*c_1100_0^4 + 3028581/419456*c_1100_0^3 - 636519/209728*c_1100_0^2 - 324433/209728*c_1100_0 + 506429/838912, c_0101_3 - 178125/104864*c_1100_0^11 + 2251131/209728*c_1100_0^10 - 8931145/419456*c_1100_0^9 + 16290855/838912*c_1100_0^8 - 12869387/419456*c_1100_0^7 + 2201671/104864*c_1100_0^6 + 995743/419456*c_1100_0^5 - 4860651/419456*c_1100_0^4 + 2245503/419456*c_1100_0^3 - 898305/209728*c_1100_0^2 - 794887/209728*c_1100_0 - 19093/28928, c_0101_5 + 128439/104864*c_1100_0^11 - 1794817/209728*c_1100_0^10 + 8649803/419456*c_1100_0^9 - 20878341/838912*c_1100_0^8 + 13767465/419456*c_1100_0^7 - 3323815/104864*c_1100_0^6 + 5046043/419456*c_1100_0^5 + 2412377/419456*c_1100_0^4 - 3028581/419456*c_1100_0^3 + 636519/209728*c_1100_0^2 + 324433/209728*c_1100_0 - 506429/838912, c_1001_0 - 20435/26216*c_1100_0^11 + 297513/52432*c_1100_0^10 - 1556507/104864*c_1100_0^9 + 4297749/209728*c_1100_0^8 - 1429183/52432*c_1100_0^7 + 2952343/104864*c_1100_0^6 - 847619/52432*c_1100_0^5 + 6533/13108*c_1100_0^4 + 225611/52432*c_1100_0^3 - 393861/104864*c_1100_0^2 - 21979/104864*c_1100_0 + 123251/209728, c_1001_3 - 85469/104864*c_1100_0^11 + 1216155/209728*c_1100_0^10 - 5970761/419456*c_1100_0^9 + 14269607/838912*c_1100_0^8 - 9043175/419456*c_1100_0^7 + 569405/26216*c_1100_0^6 - 89673/14464*c_1100_0^5 - 2625775/419456*c_1100_0^4 + 2441643/419456*c_1100_0^3 - 615171/209728*c_1100_0^2 - 8589/209728*c_1100_0 + 852231/838912, c_1100_0^12 - 13/2*c_1100_0^11 + 55/4*c_1100_0^10 - 113/8*c_1100_0^9 + 167/8*c_1100_0^8 - 65/4*c_1100_0^7 + 9/4*c_1100_0^6 + 6*c_1100_0^5 - 4*c_1100_0^4 + 11/4*c_1100_0^3 + 2*c_1100_0^2 + 1/8*c_1100_0 + 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.290 Total time: 0.500 seconds, Total memory usage: 32.09MB