Magma V2.19-8 Tue Aug 20 2013 17:57:18 on localhost [Seed = 1562175839] Type ? for help. Type -D to quit. Loading file "9^2_25__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 9^2_25 geometric_solution 11.38178609 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 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 0 0 0 1 0 -1 -1 0 0 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 -0.037550399794 1.022776234324 0 5 6 6 0132 0132 2103 0132 1 1 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 0 0 0 0 -1 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 0 0 0 0.186739889438 0.623881657755 5 0 7 6 0132 0132 0132 2031 1 1 1 1 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 -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 0.222008632436 1.370929090227 4 5 7 0 0132 0321 0321 0132 1 1 1 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 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.851628860374 1.274996873329 3 8 0 9 0132 0132 0132 0132 1 1 1 1 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 1 -1 0 0 -1 1 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.493306532240 0.642142692014 2 1 6 3 0132 0132 2031 0321 1 1 1 1 0 0 0 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 0 0 0 0 0 -1 1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.435262916223 0.988766529552 1 2 1 5 2103 1302 0132 1302 1 1 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 0 0 0 0 -1 1 0 0 1 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.559679694978 1.471071674436 10 11 3 2 0132 0132 0321 0132 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.757292546804 0.959731880493 10 4 11 11 2031 0132 2103 0132 1 0 1 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.588451281189 0.790943454207 10 10 4 11 3201 2103 0132 0213 1 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 0 0 0 0 -1 1 0 1 0 -1 0 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.588451281189 0.790943454207 7 9 8 9 0132 2103 1302 2310 0 1 1 1 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 1 -2 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 0.394514260377 0.813839646000 8 7 8 9 2103 0132 0132 0213 1 0 1 1 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 -1 0 0 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 0.394514260377 0.813839646000 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0011_9'], 'c_1001_5' : d['c_0101_5'], 'c_1001_4' : d['c_1001_11'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_11'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0011_10'], 'c_1010_11' : d['c_1001_7'], 'c_1010_10' : d['c_0110_11'], 's_0_10' : negation(d['1']), 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0011_9'], 'c_0101_10' : negation(d['c_0011_3']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_7'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : d['c_1001_7'], 'c_1100_7' : d['c_1001_3'], 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_1001_7'], 'c_1100_3' : d['c_1001_7'], 'c_1100_2' : d['c_1001_3'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0110_11']), 'c_1100_10' : d['c_0011_9'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : negation(d['c_1001_3']), 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : d['c_1001_11'], 'c_1010_9' : negation(d['c_0110_11']), 'c_1010_8' : d['c_1001_11'], 'c_1100_8' : negation(d['c_0110_11']), 's_3_1' : 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' : negation(d['1']), 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_3'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_6'], '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_0110_11'], 'c_0110_10' : negation(d['c_0101_3']), 'c_0110_0' : d['c_0101_0'], 'c_0101_7' : negation(d['c_0101_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_3'], 'c_0101_8' : d['c_0011_9'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0110_11']), 'c_0110_8' : d['c_0011_9'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : negation(d['c_0011_3']), 'c_0110_6' : negation(d['c_0101_5'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_9, c_0101_0, c_0101_3, c_0101_5, c_0110_11, c_1001_11, c_1001_3, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 8553461570506243519252/95305113583710168125*c_1001_7^11 + 13377701821048633240478/95305113583710168125*c_1001_7^10 + 19330791190353133900742/95305113583710168125*c_1001_7^9 - 232386250720156539233022/95305113583710168125*c_1001_7^8 - 284522428524320381161347/38122045433484067250*c_1001_7^7 - 3776630154464662113444303/381220454334840672500*c_1001_7^6 - 1691734918955620444536117/190610227167420336250*c_1001_7^5 - 2387443833959454117199239/381220454334840672500*c_1001_7^4 - 443364129070013595659591/190610227167420336250*c_1001_7^3 - 125683474799795807232223/381220454334840672500*c_1001_7^2 - 12750948008939570685247/38122045433484067250*c_1001_7 - 81956597831107258678051/381220454334840672500, c_0011_0 - 1, c_0011_10 + 3897776778749632/902296933336901*c_1001_7^11 - 6986123821802496/902296933336901*c_1001_7^10 - 6208909822151488/902296933336901*c_1001_7^9 + 104375300375949344/902296933336901*c_1001_7^8 + 301890288583304696/902296933336901*c_1001_7^7 + 386911436589956152/902296933336901*c_1001_7^6 + 345582767235095832/902296933336901*c_1001_7^5 + 234398628552510776/902296933336901*c_1001_7^4 + 83445200029122340/902296933336901*c_1001_7^3 + 10966130262538772/902296933336901*c_1001_7^2 + 13567962797009800/902296933336901*c_1001_7 + 8322968041981390/902296933336901, c_0011_3 - c_1001_7, c_0011_6 + 1566288995607912/902296933336901*c_1001_7^11 - 3597689966612680/902296933336901*c_1001_7^10 - 510682203630816/902296933336901*c_1001_7^9 + 41800760392369444/902296933336901*c_1001_7^8 + 100116667076214137/902296933336901*c_1001_7^7 + 109704097534724960/902296933336901*c_1001_7^6 + 93801250481650279/902296933336901*c_1001_7^5 + 56113742938555172/902296933336901*c_1001_7^4 + 11813586161676836/902296933336901*c_1001_7^3 + 1085588995251564/902296933336901*c_1001_7^2 + 3169430269781290/902296933336901*c_1001_7 + 868019070846780/902296933336901, c_0011_9 - 1, c_0101_0 + 934109755363968/902296933336901*c_1001_7^11 - 2296551852789440/902296933336901*c_1001_7^10 + 100288730366848/902296933336901*c_1001_7^9 + 24877164834460048/902296933336901*c_1001_7^8 + 55583604410617344/902296933336901*c_1001_7^7 + 57317666149643968/902296933336901*c_1001_7^6 + 49970056487261704/902296933336901*c_1001_7^5 + 30474562537183066/902296933336901*c_1001_7^4 + 6915303768460312/902296933336901*c_1001_7^3 + 2919671481680677/902296933336901*c_1001_7^2 + 3226568437906388/902296933336901*c_1001_7 + 738368639380858/902296933336901, c_0101_3 - 1952936914005712/902296933336901*c_1001_7^11 + 3538739938492688/902296933336901*c_1001_7^10 + 3104544224042648/902296933336901*c_1001_7^9 - 52620699826980928/902296933336901*c_1001_7^8 - 149894448441225498/902296933336901*c_1001_7^7 - 189377998889456140/902296933336901*c_1001_7^6 - 168561814833158847/902296933336901*c_1001_7^5 - 115016124087269772/902296933336901*c_1001_7^4 - 39712256107802448/902296933336901*c_1001_7^3 - 5817870152481272/902296933336901*c_1001_7^2 - 7794076674971208/902296933336901*c_1001_7 - 3950935859502416/902296933336901, c_0101_5 + 833297612245856/902296933336901*c_1001_7^11 - 1584855950564736/902296933336901*c_1001_7^10 - 994762095803944/902296933336901*c_1001_7^9 + 22044787731395544/902296933336901*c_1001_7^8 + 62054947148459116/902296933336901*c_1001_7^7 + 80321669741495816/902296933336901*c_1001_7^6 + 74772448130041631/902296933336901*c_1001_7^5 + 50936902804632364/902296933336901*c_1001_7^4 + 19067237120835629/902296933336901*c_1001_7^3 + 3806204599128744/902296933336901*c_1001_7^2 + 2088782265905551/902296933336901*c_1001_7 + 1333866114188636/902296933336901, c_0110_11 - 3021311984/1013246401*c_1001_7^11 + 5205295904/1013246401*c_1001_7^10 + 5192650144/1013246401*c_1001_7^9 - 80529544432/1013246401*c_1001_7^8 - 239858374006/1013246401*c_1001_7^7 - 315745469226/1013246401*c_1001_7^6 - 287268255292/1013246401*c_1001_7^5 - 200025137403/1013246401*c_1001_7^4 - 78940315868/1013246401*c_1001_7^3 - 12826401780/1013246401*c_1001_7^2 - 10835908412/1013246401*c_1001_7 - 7112041336/1013246401, c_1001_11 + 1952936914005712/902296933336901*c_1001_7^11 - 3538739938492688/902296933336901*c_1001_7^10 - 3104544224042648/902296933336901*c_1001_7^9 + 52620699826980928/902296933336901*c_1001_7^8 + 149894448441225498/902296933336901*c_1001_7^7 + 189377998889456140/902296933336901*c_1001_7^6 + 168561814833158847/902296933336901*c_1001_7^5 + 115016124087269772/902296933336901*c_1001_7^4 + 39712256107802448/902296933336901*c_1001_7^3 + 5817870152481272/902296933336901*c_1001_7^2 + 7794076674971208/902296933336901*c_1001_7 + 3950935859502416/902296933336901, c_1001_3 - 934109755363968/902296933336901*c_1001_7^11 + 2296551852789440/902296933336901*c_1001_7^10 - 100288730366848/902296933336901*c_1001_7^9 - 24877164834460048/902296933336901*c_1001_7^8 - 55583604410617344/902296933336901*c_1001_7^7 - 57317666149643968/902296933336901*c_1001_7^6 - 49970056487261704/902296933336901*c_1001_7^5 - 30474562537183066/902296933336901*c_1001_7^4 - 6915303768460312/902296933336901*c_1001_7^3 - 2919671481680677/902296933336901*c_1001_7^2 - 3226568437906388/902296933336901*c_1001_7 - 738368639380858/902296933336901, c_1001_7^12 - c_1001_7^11 - 3*c_1001_7^10 + 51/2*c_1001_7^9 + 789/8*c_1001_7^8 + 161*c_1001_7^7 + 337/2*c_1001_7^6 + 132*c_1001_7^5 + 141/2*c_1001_7^4 + 41/2*c_1001_7^3 + 11/2*c_1001_7^2 + 9/2*c_1001_7 + 13/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB