Magma V2.19-8 Tue Aug 20 2013 17:59:37 on localhost [Seed = 189448166] Type ? for help. Type -D to quit. Loading file "10^2_71__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_71 geometric_solution 12.75366734 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 14 1 2 3 3 0132 0132 0132 3120 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 0 0 0 0 0 0 1 -1 -1 0 1 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 0.908252446018 1.353552829011 0 4 6 5 0132 0132 0132 0132 0 1 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 -5 5 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 0.588246320466 1.092117375603 7 0 7 3 0132 0132 3120 0132 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 0 0 0 0 0 0 0 0 0 0 1 -1 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.250082688603 0.844129161703 0 8 2 0 3120 0132 0132 0132 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 0 0 0 0 0 1 0 -1 0 0 1 -1 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.049848635542 0.735417553186 8 1 9 10 3012 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 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.403703658892 0.409244085175 6 9 1 11 0132 0132 0132 0132 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 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 0.409579064873 0.399917981288 5 12 13 1 0132 0132 0132 0132 0 1 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 5 -5 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 1.007304123243 1.910576378253 2 8 2 12 0132 3012 3120 3120 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 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 0.250082688603 0.844129161703 7 3 9 4 1230 0132 1302 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0.354765882622 1.061219352316 8 5 10 4 2031 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.975112489417 1.342569262900 9 11 4 13 2103 0132 0132 2031 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 -6 5 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 1.171215339624 1.034289641883 13 10 5 12 0132 0132 0132 0132 0 1 0 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 0 0 0 0 0 0 0 0 6 0 -6 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 1.045724986281 0.823920764015 7 6 11 13 3120 0132 0132 0132 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 0 0 0 0 0 0 0 6 -6 -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 -0.028527202691 0.682958242435 11 10 12 6 0132 1302 0132 0132 0 1 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 0 0 0 0 -1 6 -5 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 0.345552789290 0.627651660689 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_0'], 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_1001_1'], 'c_1001_13' : d['c_0110_10'], 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0011_3'], 'c_1001_6' : d['c_0110_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0101_4'], 'c_1010_13' : d['c_0110_10'], 'c_1010_12' : d['c_0110_10'], 'c_1010_11' : d['c_1001_1'], 'c_1010_10' : d['c_0011_10'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_3_13' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(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_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_0110_10']), 'c_1100_7' : negation(d['c_0101_12']), 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0101_3']), 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : negation(d['c_0101_3']), 's_0_10' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : negation(d['c_0110_10']), 'c_1100_13' : d['c_1100_1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 'c_1010_7' : negation(d['c_0011_12']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : d['c_0101_4'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_12'], 'c_0011_4' : d['c_0011_0'], 'c_0101_13' : d['c_0101_12'], 'c_0011_6' : negation(d['c_0011_12']), '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_11' : d['c_0101_12'], 'c_0110_10' : d['c_0110_10'], 'c_0110_13' : d['c_0101_11'], 'c_0110_12' : d['c_0101_12'], 's_0_13' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0011_7' : d['c_0011_0'], 'c_0110_0' : d['c_0101_0'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_11'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0011_12'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0110_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_12'], 'c_1100_8' : d['c_0101_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_3, c_0101_4, c_0110_10, c_1001_1, c_1001_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 24313837172785223/17541620346256*c_1100_1^17 + 26266915918382211/70166481385024*c_1100_1^16 + 250724629100645397/35083240692512*c_1100_1^15 + 115167798652141413/17541620346256*c_1100_1^14 + 290165205499380767/17541620346256*c_1100_1^13 + 1051070608322282725/70166481385024*c_1100_1^12 + 88727970107871629/4127440081472*c_1100_1^11 + 612561399698167121/35083240692512*c_1100_1^10 + 475441299715084947/35083240692512*c_1100_1^9 + 13838423788907089/2192702543282*c_1100_1^8 - 9490180421934987/35083240692512*c_1100_1^7 - 11683755101433591/2063720040736*c_1100_1^6 - 311001812505484179/35083240692512*c_1100_1^5 - 38422336823306495/4127440081472*c_1100_1^4 - 245597414344206593/35083240692512*c_1100_1^3 - 328743796984908991/70166481385024*c_1100_1^2 - 177927629278631679/70166481385024*c_1100_1 - 41229839109458769/35083240692512, c_0011_0 - 1, c_0011_10 + 8047080601/64491251273*c_1100_1^17 + 81697621993/64491251273*c_1100_1^16 + 68352168485/128982502546*c_1100_1^15 + 867659648941/128982502546*c_1100_1^14 + 323901757391/64491251273*c_1100_1^13 + 1802728230661/128982502546*c_1100_1^12 + 1291762212393/128982502546*c_1100_1^11 + 2184983125727/128982502546*c_1100_1^10 + 1691038035137/128982502546*c_1100_1^9 + 681325254009/64491251273*c_1100_1^8 + 981640052513/128982502546*c_1100_1^7 + 247558980135/64491251273*c_1100_1^6 + 364288463571/128982502546*c_1100_1^5 + 20645069015/64491251273*c_1100_1^4 + 4799057380/64491251273*c_1100_1^3 + 38436161341/128982502546*c_1100_1^2 + 25492564096/64491251273*c_1100_1 - 4987006467/128982502546, c_0011_12 + 363364928983/128982502546*c_1100_1^17 + 346752361317/128982502546*c_1100_1^16 + 981846608772/64491251273*c_1100_1^15 + 2931492116083/128982502546*c_1100_1^14 + 5713735028657/128982502546*c_1100_1^13 + 6771365798859/128982502546*c_1100_1^12 + 8930711742397/128982502546*c_1100_1^11 + 4510754787394/64491251273*c_1100_1^10 + 8784465894979/128982502546*c_1100_1^9 + 3370564526145/64491251273*c_1100_1^8 + 5157150860643/128982502546*c_1100_1^7 + 1607027790572/64491251273*c_1100_1^6 + 917452591198/64491251273*c_1100_1^5 + 855301850411/128982502546*c_1100_1^4 + 154581390720/64491251273*c_1100_1^3 + 284962627799/128982502546*c_1100_1^2 + 68736793429/64491251273*c_1100_1 + 59729121077/64491251273, c_0011_3 + 497825009689/128982502546*c_1100_1^17 + 180018664209/128982502546*c_1100_1^16 + 1197972581491/64491251273*c_1100_1^15 + 2454474619173/128982502546*c_1100_1^14 + 5303672459559/128982502546*c_1100_1^13 + 4818155802469/128982502546*c_1100_1^12 + 6250600969359/128982502546*c_1100_1^11 + 2702533698543/64491251273*c_1100_1^10 + 3852447268919/128982502546*c_1100_1^9 + 1148216547112/64491251273*c_1100_1^8 + 637419339197/128982502546*c_1100_1^7 + 55808601674/64491251273*c_1100_1^6 - 377402211528/64491251273*c_1100_1^5 - 769046082115/128982502546*c_1100_1^4 - 228017686223/64491251273*c_1100_1^3 - 119907626907/128982502546*c_1100_1^2 - 36156324646/64491251273*c_1100_1 - 116446645028/64491251273, c_0101_0 - 1, c_0101_10 - c_1100_1^2, c_0101_11 + 593555848571/257965005092*c_1100_1^17 + 144569555468/64491251273*c_1100_1^16 + 3424966273395/257965005092*c_1100_1^15 + 4860234071855/257965005092*c_1100_1^14 + 5191416393475/128982502546*c_1100_1^13 + 5954416987697/128982502546*c_1100_1^12 + 8413069632235/128982502546*c_1100_1^11 + 16236449025749/257965005092*c_1100_1^10 + 17109040031803/257965005092*c_1100_1^9 + 13560031682321/257965005092*c_1100_1^8 + 10382553678735/257965005092*c_1100_1^7 + 6816463418359/257965005092*c_1100_1^6 + 1916802742629/128982502546*c_1100_1^5 + 2126273530037/257965005092*c_1100_1^4 + 670800057829/257965005092*c_1100_1^3 + 496881812277/257965005092*c_1100_1^2 + 275607871879/257965005092*c_1100_1 + 130968400811/128982502546, c_0101_12 - 116678894619/257965005092*c_1100_1^17 + 218040655735/128982502546*c_1100_1^16 + 212977064287/257965005092*c_1100_1^15 + 2116161911381/257965005092*c_1100_1^14 + 1022709202960/64491251273*c_1100_1^13 + 1963470992713/64491251273*c_1100_1^12 + 2645747429171/64491251273*c_1100_1^11 + 12954560339917/257965005092*c_1100_1^10 + 14433133299465/257965005092*c_1100_1^9 + 13387221449033/257965005092*c_1100_1^8 + 10673645780901/257965005092*c_1100_1^7 + 7266366935387/257965005092*c_1100_1^6 + 2368086922547/128982502546*c_1100_1^5 + 2517585196943/257965005092*c_1100_1^4 + 854506574129/257965005092*c_1100_1^3 + 502473705955/257965005092*c_1100_1^2 + 293475817275/257965005092*c_1100_1 + 199297671415/128982502546, c_0101_3 - 878971124759/257965005092*c_1100_1^17 - 199029659972/64491251273*c_1100_1^16 - 5004867390251/257965005092*c_1100_1^15 - 7025111149727/257965005092*c_1100_1^14 - 7349090865479/128982502546*c_1100_1^13 - 8745097787895/128982502546*c_1100_1^12 - 11542095827701/128982502546*c_1100_1^11 - 23764695134089/257965005092*c_1100_1^10 - 22138027837303/257965005092*c_1100_1^9 - 17980087637481/257965005092*c_1100_1^8 - 11948484459295/257965005092*c_1100_1^7 - 7489601342083/257965005092*c_1100_1^6 - 1613282499491/128982502546*c_1100_1^5 - 979493032713/257965005092*c_1100_1^4 + 57564170763/257965005092*c_1100_1^3 - 4693447049/257965005092*c_1100_1^2 - 148850518691/257965005092*c_1100_1 + 33595618641/128982502546, c_0101_4 + 116678894619/257965005092*c_1100_1^17 - 218040655735/128982502546*c_1100_1^16 - 212977064287/257965005092*c_1100_1^15 - 2116161911381/257965005092*c_1100_1^14 - 1022709202960/64491251273*c_1100_1^13 - 1963470992713/64491251273*c_1100_1^12 - 2645747429171/64491251273*c_1100_1^11 - 12954560339917/257965005092*c_1100_1^10 - 14433133299465/257965005092*c_1100_1^9 - 13387221449033/257965005092*c_1100_1^8 - 10673645780901/257965005092*c_1100_1^7 - 7266366935387/257965005092*c_1100_1^6 - 2368086922547/128982502546*c_1100_1^5 - 2517585196943/257965005092*c_1100_1^4 - 854506574129/257965005092*c_1100_1^3 - 244508700863/257965005092*c_1100_1^2 - 293475817275/257965005092*c_1100_1 - 199297671415/128982502546, c_0110_10 - 291708821509/257965005092*c_1100_1^17 + 52194557011/64491251273*c_1100_1^16 - 1162194643459/257965005092*c_1100_1^15 + 255824239497/257965005092*c_1100_1^14 - 388579299041/128982502546*c_1100_1^13 + 425751775945/64491251273*c_1100_1^12 + 466080288634/64491251273*c_1100_1^11 + 3541315209027/257965005092*c_1100_1^10 + 4406559524269/257965005092*c_1100_1^9 + 4553039079333/257965005092*c_1100_1^8 + 4134948107885/257965005092*c_1100_1^7 + 3007395228339/257965005092*c_1100_1^6 + 477314352643/64491251273*c_1100_1^5 + 1277241456597/257965005092*c_1100_1^4 + 370251343773/257965005092*c_1100_1^3 + 140439221415/257965005092*c_1100_1^2 - 75172852585/257965005092*c_1100_1 + 39903343093/64491251273, c_1001_1 + 48594432628/64491251273*c_1100_1^17 + 535911709747/128982502546*c_1100_1^16 + 413510158909/64491251273*c_1100_1^15 + 3048422235311/128982502546*c_1100_1^14 + 4505130670371/128982502546*c_1100_1^13 + 3804909399864/64491251273*c_1100_1^12 + 4467300292016/64491251273*c_1100_1^11 + 5293695975939/64491251273*c_1100_1^10 + 10330374049113/128982502546*c_1100_1^9 + 8813468203341/128982502546*c_1100_1^8 + 6584083438037/128982502546*c_1100_1^7 + 4446844803053/128982502546*c_1100_1^6 + 2538455367339/128982502546*c_1100_1^5 + 624613282025/64491251273*c_1100_1^4 + 519704592449/128982502546*c_1100_1^3 + 250294346379/128982502546*c_1100_1^2 + 170045451881/128982502546*c_1100_1 + 96475099703/128982502546, c_1001_4 + 48594432628/64491251273*c_1100_1^17 + 535911709747/128982502546*c_1100_1^16 + 413510158909/64491251273*c_1100_1^15 + 3048422235311/128982502546*c_1100_1^14 + 4505130670371/128982502546*c_1100_1^13 + 3804909399864/64491251273*c_1100_1^12 + 4467300292016/64491251273*c_1100_1^11 + 5293695975939/64491251273*c_1100_1^10 + 10330374049113/128982502546*c_1100_1^9 + 8813468203341/128982502546*c_1100_1^8 + 6584083438037/128982502546*c_1100_1^7 + 4446844803053/128982502546*c_1100_1^6 + 2538455367339/128982502546*c_1100_1^5 + 624613282025/64491251273*c_1100_1^4 + 519704592449/128982502546*c_1100_1^3 + 250294346379/128982502546*c_1100_1^2 + 299027954427/128982502546*c_1100_1 + 96475099703/128982502546, c_1100_1^18 + 3/7*c_1100_1^17 + 39/7*c_1100_1^16 + 6*c_1100_1^15 + 15*c_1100_1^14 + 116/7*c_1100_1^13 + 176/7*c_1100_1^12 + 183/7*c_1100_1^11 + 192/7*c_1100_1^10 + 172/7*c_1100_1^9 + 144/7*c_1100_1^8 + 106/7*c_1100_1^7 + 69/7*c_1100_1^6 + 39/7*c_1100_1^5 + 22/7*c_1100_1^4 + 10/7*c_1100_1^3 + 4/7*c_1100_1^2 + 1/7*c_1100_1 + 2/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.640 Total time: 0.860 seconds, Total memory usage: 32.09MB