Magma V2.19-8 Tue Aug 20 2013 16:18:08 on localhost [Seed = 4054871242] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2358 geometric_solution 5.73027993 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 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 2 0 -2 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 -0.455315853480 0.163525751544 0 3 6 5 0132 2103 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 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 0.744452061262 1.581839692757 3 0 3 4 2103 0132 3201 2103 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 -2 1 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 0.164578441692 0.836633883875 2 1 2 0 2310 2103 2103 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 1 0 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.164578441692 0.836633883875 6 5 0 2 2310 0132 0132 2103 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 -1 2 -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 0.744452061262 1.581839692757 5 4 1 5 3012 0132 0132 1230 0 0 0 0 0 1 0 -1 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 1 0 -1 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 0.422244184302 0.452698080291 6 6 4 1 1302 2031 3201 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 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 0.539357779642 0.477057084097 ==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' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0110_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0110_2']), 'c_1100_3' : negation(d['c_0110_2']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], '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_3'], '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' : negation(d['c_1001_0']), 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : 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_0110_2'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : 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_3, c_0011_4, c_0101_0, c_0101_1, c_0110_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 436203214675/40806486261*c_1001_0^16 - 5198486898730/40806486261*c_1001_0^15 + 8595442109407/13602162087*c_1001_0^14 - 7374906238477/4534054029*c_1001_0^13 + 85008937149218/40806486261*c_1001_0^12 - 24040627999927/40806486261*c_1001_0^11 - 52346702569465/40806486261*c_1001_0^10 - 2698022006395/13602162087*c_1001_0^9 + 5203689432740/1511351343*c_1001_0^8 - 87715186949864/40806486261*c_1001_0^7 - 33262302570770/13602162087*c_1001_0^6 + 79240435846001/40806486261*c_1001_0^5 + 134880208900859/40806486261*c_1001_0^4 - 186295716354265/40806486261*c_1001_0^3 + 47856407328967/40806486261*c_1001_0^2 + 1095236278562/1511351343*c_1001_0 - 1198184443898/4534054029, c_0011_0 - 1, c_0011_3 + 348210797/1511351343*c_1001_0^16 - 3988708541/1511351343*c_1001_0^15 + 6365430968/503783781*c_1001_0^14 - 5292172883/167927927*c_1001_0^13 + 59379285181/1511351343*c_1001_0^12 - 16726737335/1511351343*c_1001_0^11 - 33512326328/1511351343*c_1001_0^10 - 2993955470/503783781*c_1001_0^9 + 10667326690/167927927*c_1001_0^8 - 58214818840/1511351343*c_1001_0^7 - 21952112272/503783781*c_1001_0^6 + 50122521403/1511351343*c_1001_0^5 + 92070471550/1511351343*c_1001_0^4 - 128107146704/1511351343*c_1001_0^3 + 37380658175/1511351343*c_1001_0^2 + 1895612120/167927927*c_1001_0 - 878456241/167927927, c_0011_4 - 74618138/503783781*c_1001_0^16 + 887343551/503783781*c_1001_0^15 - 1465096763/167927927*c_1001_0^14 + 3777079933/167927927*c_1001_0^13 - 14696425978/503783781*c_1001_0^12 + 4739732843/503783781*c_1001_0^11 + 8355410234/503783781*c_1001_0^10 + 233319982/167927927*c_1001_0^9 - 7625333179/167927927*c_1001_0^8 + 16012737847/503783781*c_1001_0^7 + 5010797301/167927927*c_1001_0^6 - 14439724792/503783781*c_1001_0^5 - 20592972565/503783781*c_1001_0^4 + 32722092974/503783781*c_1001_0^3 - 10830713348/503783781*c_1001_0^2 - 1606686245/167927927*c_1001_0 + 910185896/167927927, c_0101_0 - 540286210/1511351343*c_1001_0^16 + 6135223723/1511351343*c_1001_0^15 - 9592224952/503783781*c_1001_0^14 + 7647650400/167927927*c_1001_0^13 - 77504339843/1511351343*c_1001_0^12 + 6292220626/1511351343*c_1001_0^11 + 55976416771/1511351343*c_1001_0^10 + 9838991263/503783781*c_1001_0^9 - 16253227069/167927927*c_1001_0^8 + 53791859249/1511351343*c_1001_0^7 + 39496704203/503783781*c_1001_0^6 - 46896048455/1511351343*c_1001_0^5 - 158070911588/1511351343*c_1001_0^4 + 160476136462/1511351343*c_1001_0^3 - 19920142744/1511351343*c_1001_0^2 - 3305133801/167927927*c_1001_0 + 742402389/167927927, c_0101_1 + 51471271/1511351343*c_1001_0^16 - 813603304/1511351343*c_1001_0^15 + 1690440563/503783781*c_1001_0^14 - 1791923529/167927927*c_1001_0^13 + 26480265668/1511351343*c_1001_0^12 - 15509173039/1511351343*c_1001_0^11 - 12681250948/1511351343*c_1001_0^10 + 1073620713/167927927*c_1001_0^9 + 3836781485/167927927*c_1001_0^8 - 41661718406/1511351343*c_1001_0^7 - 1887033519/167927927*c_1001_0^6 + 39070346063/1511351343*c_1001_0^5 + 23158651214/1511351343*c_1001_0^4 - 64078421407/1511351343*c_1001_0^3 + 27493020712/1511351343*c_1001_0^2 + 3083617364/503783781*c_1001_0 - 718634024/167927927, c_0110_2 + 1, c_1001_0^17 - 13*c_1001_0^16 + 72*c_1001_0^15 - 216*c_1001_0^14 + 359*c_1001_0^13 - 265*c_1001_0^12 - 61*c_1001_0^11 + 111*c_1001_0^10 + 342*c_1001_0^9 - 548*c_1001_0^8 - 12*c_1001_0^7 + 428*c_1001_0^6 + 113*c_1001_0^5 - 760*c_1001_0^4 + 571*c_1001_0^3 - 51*c_1001_0^2 - 99*c_1001_0 + 27 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB