Magma V2.19-8 Tue Aug 20 2013 16:16:26 on localhost [Seed = 3364443175] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0722 geometric_solution 4.67242713 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 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 1.962697209170 0.173874430124 0 2 2 0 3201 0132 1023 0132 0 0 0 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 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 1.775869506128 0.431101532269 3 1 1 3 0132 0132 1023 3201 0 0 0 0 0 -1 0 1 -1 0 1 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 1 0 -1 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 -0.165979290815 0.342053197109 2 2 5 4 0132 2310 0132 0132 0 0 0 0 0 -1 1 0 1 0 0 -1 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 0 0 0 0 0 0 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 -0.107671851159 1.045811777466 6 5 3 5 0132 1023 0132 3012 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 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 0.454059637640 1.082143105648 4 6 4 3 1023 3201 1230 0132 0 0 0 0 0 0 1 -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 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 0.454059637640 1.082143105648 4 6 5 6 0132 2310 2310 3201 0 0 0 0 0 1 -1 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 -1 1 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 -0.329696751706 0.785753758400 ==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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : d['c_0101_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_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' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : negation(d['c_0101_1']), 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0011_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_1, c_0011_4, c_0101_1, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t + 67019586445998201239/52750410757096463*c_0101_3*c_0101_6^13 - 1601125425568161605556/52750410757096463*c_0101_3*c_0101_6^12 + 2037359725192675669618/52750410757096463*c_0101_3*c_0101_6^11 - 3156470610467749062796/52750410757096463*c_0101_3*c_0101_6^10 - 59943483506670831899490/52750410757096463*c_0101_3*c_0101_6^9 - 57048390154532679559430/52750410757096463*c_0101_3*c_0101_6^8 + 46079137132605578676566/52750410757096463*c_0101_3*c_0101_6^7 + 53797645939726518053660/52750410757096463*c_0101_3*c_0101_6^6 - 1787104861459740682735/52750410757096463*c_0101_3*c_0101_6^5 - 9534951612201446373108/52750410757096463*c_0101_3*c_0101_6^4 - 5045146780190822252031/52750410757096463*c_0101_3*c_0101_6^3 - 2171909840325576031586/52750410757096463*c_0101_3*c_0101_6^2 + 784749491850677140798/52750410757096463*c_0101_3*c_0101_6 + 474481008066517786253/52750410757096463*c_0101_3, c_0011_0 - 1, c_0011_1 - 185543405929623427/52750410757096463*c_0101_6^13 + 4531091497204881926/52750410757096463*c_0101_6^12 - 8044190022263587206/52750410757096463*c_0101_6^11 + 13026185577554591095/52750410757096463*c_0101_6^10 + 159155419875242335816/52750410757096463*c_0101_6^9 + 73445800619805598590/52750410757096463*c_0101_6^8 - 165170001649625443374/52750410757096463*c_0101_6^7 - 54833224949483335631/52750410757096463*c_0101_6^6 + 39655716671120230873/52750410757096463*c_0101_6^5 + 2780373972110483286/52750410757096463*c_0101_6^4 + 8841055701931121987/52750410757096463*c_0101_6^3 + 706540642673505973/52750410757096463*c_0101_6^2 - 2601632534191502414/52750410757096463*c_0101_6 + 285543553475966107/52750410757096463, c_0011_4 + 241429761435647731/52750410757096463*c_0101_3*c_0101_6^13 - 5930194328317158443/52750410757096463*c_0101_3*c_0101_6^12 + 11281062509568526780/52750410757096463*c_0101_3*c_0101_6^11 - 17857119863368186310/52750410757096463*c_0101_3*c_0101_6^10 - 205477602941342236961/52750410757096463*c_0101_3*c_0101_6^9 - 64698060330139637334/52750410757096463*c_0101_3*c_0101_6^8 + 249753244177858151149/52750410757096463*c_0101_3*c_0101_6^7 + 60214761112917502703/52750410757096463*c_0101_3*c_0101_6^6 - 71818611185280130969/52750410757096463*c_0101_3*c_0101_6^5 - 6922332144275839907/52750410757096463*c_0101_3*c_0101_6^4 - 12279316108183794197/52750410757096463*c_0101_3*c_0101_6^3 + 384295769464098474/52750410757096463*c_0101_3*c_0101_6^2 + 4320122858457226271/52750410757096463*c_0101_3*c_0101_6 - 478600041709515268/52750410757096463*c_0101_3, c_0101_1 - 260363948377793581/52750410757096463*c_0101_3*c_0101_6^13 + 6392258204827372850/52750410757096463*c_0101_3*c_0101_6^12 - 12104112913144803513/52750410757096463*c_0101_3*c_0101_6^11 + 19411480561980548228/52750410757096463*c_0101_3*c_0101_6^10 + 221436870695446259833/52750410757096463*c_0101_3*c_0101_6^9 + 73038628712798734708/52750410757096463*c_0101_3*c_0101_6^8 - 257668317930323422904/52750410757096463*c_0101_3*c_0101_6^7 - 57142123554747623270/52750410757096463*c_0101_3*c_0101_6^6 + 72743549895718566881/52750410757096463*c_0101_3*c_0101_6^5 + 2392681807488656443/52750410757096463*c_0101_3*c_0101_6^4 + 11851464205651498801/52750410757096463*c_0101_3*c_0101_6^3 - 598825523758955431/52750410757096463*c_0101_3*c_0101_6^2 - 4247302756113838043/52750410757096463*c_0101_3*c_0101_6 + 761074873836972176/52750410757096463*c_0101_3, c_0101_2 - 135880053861612899/52750410757096463*c_0101_6^13 + 3313880382192151657/52750410757096463*c_0101_6^12 - 5785631791585799760/52750410757096463*c_0101_6^11 + 9394884736384243629/52750410757096463*c_0101_6^10 + 116857120269467456378/52750410757096463*c_0101_6^9 + 57575154075082557273/52750410757096463*c_0101_6^8 - 117236113542283579582/52750410757096463*c_0101_6^7 - 40432742198645925939/52750410757096463*c_0101_6^6 + 28084983263893081088/52750410757096463*c_0101_6^5 + 1240750532212478739/52750410757096463*c_0101_6^4 + 6178610043919644018/52750410757096463*c_0101_6^3 + 457246675486862575/52750410757096463*c_0101_6^2 - 1874428199566305191/52750410757096463*c_0101_6 + 241429761435647731/52750410757096463, c_0101_3^2 - 54040503296623985/52750410757096463*c_0101_6^13 + 1333189083852723584/52750410757096463*c_0101_6^12 - 2665335248678936367/52750410757096463*c_0101_6^11 + 4213662881714251339/52750410757096463*c_0101_6^10 + 45632447318480124571/52750410757096463*c_0101_6^9 + 9422592398239028017/52750410757096463*c_0101_6^8 - 59487073858699524270/52750410757096463*c_0101_6^7 - 9517881696607978486/52750410757096463*c_0101_6^6 + 18466288394989296764/52750410757096463*c_0101_6^5 + 1034802577471171753/52750410757096463*c_0101_6^4 + 2664209488882533191/52750410757096463*c_0101_6^3 - 419597467699951955/52750410757096463*c_0101_6^2 - 1040518995193537215/52750410757096463*c_0101_6 + 136794773584815360/52750410757096463, c_0101_6^14 - 24*c_0101_6^13 + 33*c_0101_6^12 - 50*c_0101_6^11 - 890*c_0101_6^10 - 752*c_0101_6^9 + 796*c_0101_6^8 + 735*c_0101_6^7 - 130*c_0101_6^6 - 145*c_0101_6^5 - 56*c_0101_6^4 - 24*c_0101_6^3 + 16*c_0101_6^2 + 6*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB