Magma V2.19-8 Tue Aug 20 2013 16:16:22 on localhost [Seed = 2101141916] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0653 geometric_solution 4.63728366 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 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 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 3.338323242639 4.538281506479 0 1 1 0 0132 1230 3012 3201 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 -0.107474752982 0.117684913363 0 3 4 0 3201 0132 0132 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 1 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 0 0 0 0.042966303223 0.262581209919 4 2 4 5 2310 0132 2103 0132 0 0 0 0 0 0 0 0 0 0 -1 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 -1 1 0 1 0 1 -2 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.477146238663 1.509816053122 3 5 3 2 2103 0132 3201 0132 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 0 0 0 0 -1 0 1 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.477146238663 1.509816053122 6 4 3 6 0132 0132 0132 3201 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 0 2 -2 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.609645928830 0.202276213269 5 5 6 6 0132 2310 2031 1302 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 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.014026598479 0.983114458163 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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' : d['c_0101_6'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_4']), '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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : negation(d['c_0101_3']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_1001_2'], 'c_1010_3' : d['c_1001_2'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0011_4']), '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_2, c_0011_4, c_0101_0, c_0101_3, c_0101_6, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 75980380261392443/1270170974412124862*c_1001_2^9 - 515891875429827724/635085487206062431*c_1001_2^8 + 6718767031708179681/1270170974412124862*c_1001_2^7 + 6941734076184310325/635085487206062431*c_1001_2^6 - 2060566321907505999/43798999117659478*c_1001_2^5 + 65780642720411959957/1270170974412124862*c_1001_2^4 - 6174179165102379/57735044291460221*c_1001_2^3 - 94970806904916666681/1270170974412124862*c_1001_2^2 + 35042957845951801710/635085487206062431*c_1001_2 + 1411653927604798166/635085487206062431, c_0011_0 - 1, c_0011_2 + 15761984328/841861692727*c_1001_2^9 - 208261998132/841861692727*c_1001_2^8 + 2641301704401/1683723385454*c_1001_2^7 + 3318832549732/841861692727*c_1001_2^6 - 21742113928713/1683723385454*c_1001_2^5 + 10110926065682/841861692727*c_1001_2^4 + 113520530379/153065762314*c_1001_2^3 - 29320400459101/1683723385454*c_1001_2^2 + 11406804050949/841861692727*c_1001_2 - 3540670564495/1683723385454, c_0011_4 + 266020040839301/17963644799408726*c_1001_2^9 - 1681224358265829/8981822399704363*c_1001_2^8 + 20356412545231677/17963644799408726*c_1001_2^7 + 33890192032703027/8981822399704363*c_1001_2^6 - 145413846362996613/17963644799408726*c_1001_2^5 + 87827450650586461/17963644799408726*c_1001_2^4 + 3365574712001534/816529309064033*c_1001_2^3 - 219325610196887063/17963644799408726*c_1001_2^2 + 34759792451801348/8981822399704363*c_1001_2 + 9405352881485685/8981822399704363, c_0101_0 + 15830330207/1683723385454*c_1001_2^9 - 215091146297/1683723385454*c_1001_2^8 + 699376258910/841861692727*c_1001_2^7 + 2907519632327/1683723385454*c_1001_2^6 - 6286087637013/841861692727*c_1001_2^5 + 6232073516960/841861692727*c_1001_2^4 - 53005336042/76532881157*c_1001_2^3 - 8289778300061/841861692727*c_1001_2^2 + 14714818462955/1683723385454*c_1001_2 - 1930055803077/1683723385454, c_0101_3 + 220502579129361/17963644799408726*c_1001_2^9 - 2834680867139831/17963644799408726*c_1001_2^8 + 8772383458866743/8981822399704363*c_1001_2^7 + 51664810387402991/17963644799408726*c_1001_2^6 - 63668819037301382/8981822399704363*c_1001_2^5 + 58335121107149343/8981822399704363*c_1001_2^4 + 649357805620986/816529309064033*c_1001_2^3 - 81373997292895676/8981822399704363*c_1001_2^2 + 104366418497854749/17963644799408726*c_1001_2 - 30121944045114905/17963644799408726, c_0101_6 - 465050154866227/17963644799408726*c_1001_2^9 + 2949780232654760/8981822399704363*c_1001_2^8 - 17922191380534580/8981822399704363*c_1001_2^7 - 58507009526413815/8981822399704363*c_1001_2^6 + 130300063680696535/8981822399704363*c_1001_2^5 - 161637584980489823/17963644799408726*c_1001_2^4 - 11822235517016409/1633058618128066*c_1001_2^3 + 193378890140240341/8981822399704363*c_1001_2^2 - 71344269851967960/8981822399704363*c_1001_2 - 29394509938970625/17963644799408726, c_1001_2^10 - 14*c_1001_2^9 + 94*c_1001_2^8 + 147*c_1001_2^7 - 870*c_1001_2^6 + 1138*c_1001_2^5 - 349*c_1001_2^4 - 1035*c_1001_2^3 + 1377*c_1001_2^2 - 507*c_1001_2 + 29 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB