Magma V2.19-8 Tue Aug 20 2013 16:19:12 on localhost [Seed = 576962342] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3325 geometric_solution 6.46034621 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 3201 0132 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 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 -0.302670047390 1.193053899852 0 3 4 3 0132 2310 0132 3201 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 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.468759276445 0.559349967204 0 0 5 4 2310 0132 0132 3201 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 0.772199135115 0.969342419914 5 1 0 1 1023 2310 0132 3201 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 1 -1 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 0.468759276445 0.559349967204 6 2 5 1 0132 2310 1302 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.597092812861 0.521225695890 4 3 6 2 2031 1023 1023 0132 0 0 0 0 0 0 -1 1 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 -1 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 0.597092812861 0.521225695890 4 6 5 6 0132 1302 1023 2031 0 0 0 0 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 0 0 0 0 0 0 0 -1 1 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 0.182007034088 1.451551184072 ==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_0011_4'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : 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_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0110_3'], 'c_1001_2' : d['c_0110_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0110_3'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0110_3']), 'c_1010_0' : d['c_0110_3']})} 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 245409803387651/2089653062148*c_0110_3^13 + 389493247907897/1044826531074*c_0110_3^12 + 1035444821328017/2089653062148*c_0110_3^11 + 99945809998723/696551020716*c_0110_3^10 - 13909382641629/58045918393*c_0110_3^9 - 92589080120275/1044826531074*c_0110_3^8 - 38869270711864/522413265537*c_0110_3^7 - 11522439407653/522413265537*c_0110_3^6 + 2119603365232/174137755179*c_0110_3^5 - 38731825371071/1044826531074*c_0110_3^4 - 14808199161418/522413265537*c_0110_3^3 - 6066740578021/696551020716*c_0110_3^2 - 15402324448505/2089653062148*c_0110_3 - 122149048717/696551020716, c_0011_0 - 1, c_0011_3 + 1210546127452/174137755179*c_0110_3^13 + 1001125590341/58045918393*c_0110_3^12 + 796263310608/58045918393*c_0110_3^11 - 2150481398801/174137755179*c_0110_3^10 - 1181694854859/58045918393*c_0110_3^9 + 766160702666/174137755179*c_0110_3^8 - 121213874655/58045918393*c_0110_3^7 + 7942055360/174137755179*c_0110_3^6 + 389827290058/174137755179*c_0110_3^5 - 618492035999/174137755179*c_0110_3^4 - 39886726222/174137755179*c_0110_3^3 + 519172990471/174137755179*c_0110_3^2 - 12991798375/174137755179*c_0110_3 + 38181915839/174137755179, c_0011_4 - 122970699611/58045918393*c_0110_3^13 - 165553214562/58045918393*c_0110_3^12 + 148239492123/58045918393*c_0110_3^11 + 424254224218/58045918393*c_0110_3^10 - 387246661773/58045918393*c_0110_3^9 - 1260824309333/58045918393*c_0110_3^8 + 89806811809/58045918393*c_0110_3^7 + 840514056920/58045918393*c_0110_3^6 + 236246497688/58045918393*c_0110_3^5 - 77765064990/58045918393*c_0110_3^4 - 79742165375/58045918393*c_0110_3^3 - 78055354253/58045918393*c_0110_3^2 + 40698579837/58045918393*c_0110_3 + 21842204671/58045918393, c_0101_0 - c_0110_3, c_0101_1 - 878184064297/174137755179*c_0110_3^13 - 1179880997877/58045918393*c_0110_3^12 - 1573854327926/58045918393*c_0110_3^11 + 54852681872/174137755179*c_0110_3^10 + 2078648797858/58045918393*c_0110_3^9 + 2934173911153/174137755179*c_0110_3^8 - 815388333194/58045918393*c_0110_3^7 - 18177534425/174137755179*c_0110_3^6 + 68421776318/174137755179*c_0110_3^5 + 68355700010/174137755179*c_0110_3^4 + 771219699355/174137755179*c_0110_3^3 - 227386684651/174137755179*c_0110_3^2 - 421399066970/174137755179*c_0110_3 + 12991798375/174137755179, c_0101_2 - 2326937682754/174137755179*c_0110_3^13 - 7468169669135/174137755179*c_0110_3^12 - 8213124624484/174137755179*c_0110_3^11 + 980855886186/58045918393*c_0110_3^10 + 4213218357778/58045918393*c_0110_3^9 + 3326659277155/174137755179*c_0110_3^8 - 4351723477153/174137755179*c_0110_3^7 - 1800337391995/174137755179*c_0110_3^6 + 37402225648/58045918393*c_0110_3^5 + 1078343342513/174137755179*c_0110_3^4 + 894209837339/174137755179*c_0110_3^3 - 133823447701/58045918393*c_0110_3^2 - 260956058978/174137755179*c_0110_3 - 28956527705/58045918393, c_0110_3^14 + 61/23*c_0110_3^13 + 45/23*c_0110_3^12 - 64/23*c_0110_3^11 - 107/23*c_0110_3^10 + 16/23*c_0110_3^9 + 44/23*c_0110_3^8 + 10/23*c_0110_3^7 - 2/23*c_0110_3^6 - 12/23*c_0110_3^5 - 4/23*c_0110_3^4 + 7/23*c_0110_3^3 + 2/23*c_0110_3^2 - 1/23 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB