Magma V2.19-8 Tue Aug 20 2013 16:18:42 on localhost [Seed = 475890029] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2866 geometric_solution 6.08647947 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 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 1 0 -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 0.553456281907 0.390300744121 0 4 2 3 0132 2031 1302 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.659789299577 0.669309912257 1 0 5 5 2031 0132 1302 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 -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 0.840584755533 1.176111704820 1 5 6 0 3012 0132 0132 0132 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.452733357957 0.588706522717 1 6 0 5 1302 3012 0132 2103 0 0 0 0 0 0 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 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 0.435147282687 0.912536841686 2 3 2 4 2031 0132 0132 2103 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 0 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 0.489573303008 1.163578480430 4 6 6 3 1230 3201 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.719161449870 0.335800069122 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_2_0' : negation(d['1']), 's_2_1' : negation(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' : negation(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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0101_5'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], '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_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : negation(d['c_0011_6'])})} 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_0011_6, c_0101_5, c_0101_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 15358562696/218575837449*c_1001_0^7 - 38852415025/72858612483*c_1001_0^6 - 39089279896/72858612483*c_1001_0^5 + 212145368677/218575837449*c_1001_0^4 + 97647955024/24286204161*c_1001_0^3 + 1247558242336/218575837449*c_1001_0^2 + 294210402647/72858612483*c_1001_0 + 329659141006/218575837449, c_0011_0 - 1, c_0011_3 - 1025/411289*c_1001_0^7 - 5095/411289*c_1001_0^6 + 28382/411289*c_1001_0^5 + 104577/411289*c_1001_0^4 - 134939/411289*c_1001_0^3 + 4642/411289*c_1001_0^2 - 425423/411289*c_1001_0 + 300966/411289, c_0011_4 - 106837/411289*c_1001_0^7 - 607297/411289*c_1001_0^6 + 558369/411289*c_1001_0^5 + 1865473/411289*c_1001_0^4 + 2812839/411289*c_1001_0^3 - 674188/411289*c_1001_0^2 - 2186640/411289*c_1001_0 - 1133013/411289, c_0011_6 - 16547/411289*c_1001_0^7 - 98301/411289*c_1001_0^6 + 52511/411289*c_1001_0^5 + 275402/411289*c_1001_0^4 + 699443/411289*c_1001_0^3 + 168832/411289*c_1001_0^2 - 425991/411289*c_1001_0 - 776241/411289, c_0101_5 + 89191/411289*c_1001_0^7 + 481464/411289*c_1001_0^6 - 570525/411289*c_1001_0^5 - 1209904/411289*c_1001_0^4 - 2208321/411289*c_1001_0^3 + 668635/411289*c_1001_0^2 + 1010792/411289*c_1001_0 + 797436/411289, c_0101_6 + 37135/411289*c_1001_0^7 + 204651/411289*c_1001_0^6 - 253832/411289*c_1001_0^5 - 727153/411289*c_1001_0^4 - 682720/411289*c_1001_0^3 + 495905/411289*c_1001_0^2 + 1150064/411289*c_1001_0 + 26478/411289, c_1001_0^8 + 6*c_1001_0^7 - 3*c_1001_0^6 - 17*c_1001_0^5 - 36*c_1001_0^4 - 8*c_1001_0^3 + 15*c_1001_0^2 + 22*c_1001_0 + 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB