Label |
Polynomial |
Degree |
Signature |
Discriminant |
Ram. prime count |
Root discriminant |
Galois root discriminant |
CM field |
Galois |
Monogenic |
Galois group |
Class group |
Unit group torsion |
Unit group rank |
Regulator |
10.4.4930254263.1 |
$x^{10} - 3 x^{9} + 2 x^{8} + 3 x^{7} - 9 x^{6} + 11 x^{5} - 9 x^{4} + 3 x^{3} + 2 x^{2} - 3 x + 1$ |
$10$ |
[4,3] |
$-\,11^{8}\cdot 23$ |
$2$ |
$9.31723247475$ |
$32.65713384043754$ |
|
|
✓ |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$6$ |
$6.38801848894$ |
10.4.9217431883.1 |
$x^{10} - 2 x^{9} + 5 x^{7} - 12 x^{6} + 15 x^{5} - 12 x^{4} + 5 x^{3} - 2 x + 1$ |
$10$ |
[4,3] |
$-\,11^{8}\cdot 43$ |
$2$ |
$9.91884248797$ |
$44.65276699099921$ |
|
|
✓ |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$6$ |
$9.59636240977$ |
10.4.14362045027.1 |
$x^{10} - 3 x^{9} + x^{8} + x^{7} + 9 x^{6} - 18 x^{5} + 5 x^{4} + 9 x^{3} - 6 x^{2} - x + 1$ |
$10$ |
[4,3] |
$-\,11^{8}\cdot 67$ |
$2$ |
$10.3686359985$ |
$55.73802159288335$ |
|
|
? |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$6$ |
$11.9061800437$ |
10.2.19077940409.1 |
$x^{10} - 4 x^{9} + 7 x^{8} - 11 x^{7} + 14 x^{6} - 15 x^{5} + 14 x^{4} - 11 x^{3} + 7 x^{2} - 4 x + 1$ |
$10$ |
[2,4] |
$11^{8}\cdot 89$ |
$2$ |
$10.6672665884$ |
$64.24053534410318$ |
|
|
✓ |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$5$ |
$10.5245251575$ |
10.6.23365118029.1 |
$x^{10} - 3 x^{9} + x^{8} + x^{7} - 2 x^{6} + 4 x^{5} + 5 x^{4} - 2 x^{3} - 6 x^{2} - x + 1$ |
$10$ |
[6,2] |
$11^{8}\cdot 109$ |
$2$ |
$10.8857109419$ |
$71.09309101858766$ |
|
|
? |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$7$ |
$21.1054678781$ |
10.4.28081013411.1 |
$x^{10} - 5 x^{9} + 11 x^{8} - 14 x^{7} + 7 x^{6} + 7 x^{5} - 14 x^{4} + 10 x^{3} - 3 x + 1$ |
$10$ |
[4,3] |
$-\,11^{8}\cdot 131$ |
$2$ |
$11.0876951741$ |
$77.93809672288276$ |
|
|
✓ |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$6$ |
$18.2578525152$ |
10.6.42228699557.1 |
$x^{10} - x^{9} - 5 x^{8} + 6 x^{7} + 8 x^{6} - 13 x^{5} - 6 x^{4} + 13 x^{3} + 4 x^{2} - 5 x - 1$ |
$10$ |
[6,2] |
$11^{8}\cdot 197$ |
$2$ |
$11.5494358441$ |
$95.57565020134652$ |
|
|
✓ |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$7$ |
$29.9141063331$ |
10.4.42657417319.1 |
$x^{10} - 4 x^{9} + 6 x^{8} + x^{7} - 15 x^{6} + 22 x^{5} - 12 x^{4} - 2 x^{3} + 8 x^{2} - 5 x + 1$ |
$10$ |
[4,3] |
$-\,11^{8}\cdot 199$ |
$2$ |
$11.5611079342$ |
$96.05958063794662$ |
|
|
✓ |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$6$ |
$21.6488477712$ |
10.6.51660490321.1 |
$x^{10} - 2 x^{9} - 3 x^{8} + 12 x^{7} - 7 x^{6} - 9 x^{5} + 17 x^{4} - 6 x^{3} - 6 x^{2} + 5 x - 1$ |
$10$ |
[6,2] |
$11^{8}\cdot 241$ |
$2$ |
$11.7846273076$ |
$105.71160566289127$ |
|
|
✓ |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$7$ |
$33.2918219057$ |
10.6.54232796893.1 |
$x^{10} - 4 x^{9} + 5 x^{8} + 2 x^{7} - 8 x^{6} - x^{5} + 4 x^{4} + 6 x^{3} - 2 x^{2} - 3 x + 1$ |
$10$ |
[6,2] |
$11^{9}\cdot 23$ |
$2$ |
$11.84203118$ |
$41.50661671665305$ |
|
|
✓ |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$7$ |
$35.0339790748$ |
10.4.56376385703.1 |
$x^{10} - x^{9} + 2 x^{7} + 2 x^{6} - 4 x^{5} - 5 x^{4} + 7 x^{3} - 4 x + 1$ |
$10$ |
[4,3] |
$-\,11^{8}\cdot 263$ |
$2$ |
$11.8880253629$ |
$110.43125871796838$ |
|
|
? |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$6$ |
$27.340748627$ |
10.4.65808176467.1 |
$x^{10} - x^{9} - 3 x^{8} + x^{6} - 4 x^{5} - 2 x^{4} + 11 x^{3} + 13 x^{2} + 6 x + 1$ |
$10$ |
[4,3] |
$-\,11^{8}\cdot 307$ |
$2$ |
$12.073355418$ |
$119.31178299921324$ |
|
|
? |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$6$ |
$30.2248426975$ |
10.8.70952789611.1 |
$x^{10} - x^{9} - 6 x^{8} + 9 x^{7} + 5 x^{6} - 18 x^{5} + 9 x^{4} + 12 x^{3} - 10 x^{2} - 3 x + 1$ |
$10$ |
[8,1] |
$-\,11^{8}\cdot 331$ |
$2$ |
$12.1645752$ |
$123.88768709435013$ |
|
|
? |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$8$ |
$53.0317622972$ |
10.6.75668684993.1 |
$x^{10} - 2 x^{9} - x^{8} + 11 x^{7} - 17 x^{6} + 4 x^{5} + 15 x^{4} - 11 x^{3} - 5 x^{2} + 3 x + 1$ |
$10$ |
[6,2] |
$11^{8}\cdot 353$ |
$2$ |
$12.2431062555$ |
$127.93857254087153$ |
|
|
? |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$7$ |
$43.479206923$ |
10.2.79955862613.1 |
$x^{10} - x^{9} + 2 x^{8} - 4 x^{7} + 3 x^{6} - 2 x^{5} - 3 x^{4} - 15 x^{3} - 2 x^{2} - x - 1$ |
$10$ |
[2,4] |
$11^{8}\cdot 373$ |
$2$ |
$12.310764721$ |
$131.51296344116068$ |
|
|
? |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$5$ |
$19.0247838363$ |
10.6.85100475757.1 |
$x^{10} - x^{9} + 2 x^{7} - 9 x^{6} + 18 x^{5} - 27 x^{4} + 18 x^{3} - 4 x + 1$ |
$10$ |
[6,2] |
$11^{8}\cdot 397$ |
$2$ |
$12.3877718671$ |
$135.6779901244573$ |
|
|
? |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$7$ |
$46.3692644236$ |
10.4.89816371139.1 |
$x^{10} - x^{9} + 2 x^{8} - 4 x^{7} + 3 x^{6} - 2 x^{5} - 3 x^{4} + 18 x^{3} - 24 x^{2} + 10 x - 1$ |
$10$ |
[4,3] |
$-\,11^{8}\cdot 419$ |
$2$ |
$12.4547653689$ |
$139.38664331427373$ |
|
|
? |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$6$ |
$31.7056631324$ |
10.4.94103548759.1 |
$x^{10} - 5 x^{9} + 16 x^{8} - 34 x^{7} + 51 x^{6} - 55 x^{5} + 37 x^{4} - 12 x^{3} - 5 x^{2} + 6 x - 1$ |
$10$ |
[4,3] |
$-\,11^{8}\cdot 439$ |
$2$ |
$12.5129756705$ |
$142.6745160976577$ |
|
|
✓ |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$6$ |
$35.403610486$ |
10.6.98819444141.1 |
$x^{10} - x^{9} - x^{8} + 5 x^{7} - 5 x^{6} - 11 x^{5} - 3 x^{4} - 7 x^{3} - 4 x^{2} + 2 x + 1$ |
$10$ |
[6,2] |
$11^{8}\cdot 461$ |
$2$ |
$12.5743122487$ |
$146.20580314717$ |
|
|
? |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$7$ |
$48.1686988515$ |
10.4.99248161903.1 |
$x^{10} - 2 x^{9} + 2 x^{8} - 7 x^{7} + 18 x^{6} - 31 x^{5} + 23 x^{4} - 8 x^{3} + x^{2} + 3 x - 1$ |
$10$ |
[4,3] |
$-\,11^{8}\cdot 463$ |
$2$ |
$12.5797568608$ |
$146.52260915925928$ |
|
|
? |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$6$ |
$32.9188549474$ |
10.6.101391750713.1 |
$x^{10} - 4 x^{9} + 5 x^{8} + 2 x^{7} - 19 x^{6} + 32 x^{5} - 18 x^{4} - 16 x^{3} + 31 x^{2} - 14 x + 1$ |
$10$ |
[6,2] |
$11^{9}\cdot 43$ |
$2$ |
$12.6066664464$ |
$56.75284591382223$ |
|
|
? |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$7$ |
$49.5507326246$ |
10.4.122398921051.1 |
$x^{10} - 5 x^{9} + 13 x^{8} - 22 x^{7} + 20 x^{6} - 4 x^{5} - 10 x^{4} + 11 x^{3} - 3 x^{2} - x + 1$ |
$10$ |
[4,3] |
$-\,11^{8}\cdot 571$ |
$2$ |
$12.8462910984$ |
$162.71672785841727$ |
|
|
✓ |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$6$ |
$41.6260716054$ |
10.2.127114816433.1 |
$x^{10} - 2 x^{9} + 2 x^{8} + 4 x^{7} - 4 x^{6} + 13 x^{5} + x^{4} + 14 x^{3} + x^{2} + 3 x - 1$ |
$10$ |
[2,4] |
$11^{8}\cdot 593$ |
$2$ |
$12.8949486626$ |
$165.8217502475428$ |
|
|
? |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$5$ |
$25.0132917435$ |
10.2.132259429577.1 |
$x^{10} - 3 x^{9} + 5 x^{8} - 2 x^{7} - x^{6} + 15 x^{5} - 6 x^{4} + 16 x^{3} + 2 x^{2} + 6 x - 1$ |
$10$ |
[2,4] |
$11^{8}\cdot 617$ |
$2$ |
$12.9462105102$ |
$169.1440519388569$ |
|
|
? |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$5$ |
$28.7573723186$ |
10.4.141262502579.1 |
$x^{10} - 2 x^{9} + x^{8} - x^{7} + 7 x^{6} - 15 x^{5} + 15 x^{4} - 12 x^{3} - x^{2} + 9 x - 1$ |
$10$ |
[4,3] |
$-\,11^{8}\cdot 659$ |
$2$ |
$13.0317484899$ |
$174.8062094028218$ |
|
|
? |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$6$ |
$44.450958728$ |
10.6.141691220341.1 |
$x^{10} - 2 x^{9} - x^{8} - 6 x^{6} + 15 x^{5} - 7 x^{4} - 11 x^{3} + 17 x^{2} - 8 x + 1$ |
$10$ |
[6,2] |
$11^{8}\cdot 661$ |
$2$ |
$13.035698106$ |
$175.07126825013637$ |
|
|
? |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$7$ |
$62.5568409571$ |
10.8.146407115723.1 |
$x^{10} - 2 x^{9} - 4 x^{8} + 7 x^{7} - 3 x^{6} - 11 x^{5} + 17 x^{4} + 6 x^{3} - 12 x^{2} + x + 1$ |
$10$ |
[8,1] |
$-\,11^{8}\cdot 683$ |
$2$ |
$13.0784482569$ |
$177.96086169975533$ |
|
|
? |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$8$ |
$81.9653104566$ |
10.8.155838906487.1 |
$x^{10} - 2 x^{9} - 3 x^{8} + 12 x^{7} - 7 x^{6} - 20 x^{5} + 17 x^{4} + 16 x^{3} - 6 x^{2} - 6 x - 1$ |
$10$ |
[8,1] |
$-\,11^{8}\cdot 727$ |
$2$ |
$13.1603545364$ |
$183.60366814782304$ |
|
|
? |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$8$ |
$84.3760276432$ |
10.6.157982495297.1 |
$x^{10} - 3 x^{9} - 2 x^{8} + 17 x^{7} - 18 x^{6} - 12 x^{5} + 36 x^{4} - 20 x^{3} - 6 x^{2} + 7 x + 1$ |
$10$ |
[6,2] |
$11^{9}\cdot 67$ |
$2$ |
$13.1783457289$ |
$70.84200071274057$ |
|
|
? |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$7$ |
$65.0996367191$ |
10.2.164841979489.1 |
$x^{10} - x^{9} + 4 x^{8} + x^{7} + 5 x^{6} - 5 x^{5} - 3 x^{4} - 19 x^{3} - 16 x^{2} - 9 x - 1$ |
$10$ |
[2,4] |
$11^{8}\cdot 769$ |
$2$ |
$13.2344769567$ |
$188.83275006424174$ |
|
|
? |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$5$ |
$30.5525680191$ |
10.6.183705561017.1 |
$x^{10} - x^{9} - x^{8} + 5 x^{7} - 16 x^{6} + 11 x^{5} + 19 x^{4} - 40 x^{3} + 29 x^{2} - 9 x + 1$ |
$10$ |
[6,2] |
$11^{8}\cdot 857$ |
$2$ |
$13.3786480915$ |
$199.3446382967381$ |
|
|
? |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$7$ |
$67.6125525359$ |
10.8.184134278779.1 |
$x^{10} - 4 x^{9} - x^{8} + 19 x^{7} - 13 x^{6} - 13 x^{5} - x^{4} + 13 x^{3} + 4 x^{2} - 3 x - 1$ |
$10$ |
[8,1] |
$-\,11^{8}\cdot 859$ |
$2$ |
$13.3817670224$ |
$199.57711025712683$ |
|
|
✓ |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$8$ |
$93.0695835991$ |
10.6.188850174161.1 |
$x^{10} - 2 x^{9} - x^{8} + 5 x^{6} - 7 x^{5} + 15 x^{4} - 16 x^{2} + 3 x + 1$ |
$10$ |
[6,2] |
$11^{8}\cdot 881$ |
$2$ |
$13.4156506024$ |
$202.11665509995362$ |
|
|
? |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$7$ |
$73.4487134843$ |
10.8.202997860307.1 |
$x^{10} - 4 x^{9} - x^{8} + 19 x^{7} - 13 x^{6} - 24 x^{5} + 32 x^{4} + 2 x^{3} - 18 x^{2} + 8 x - 1$ |
$10$ |
[8,1] |
$-\,11^{8}\cdot 947$ |
$2$ |
$13.5129181453$ |
$209.55071047223467$ |
|
|
✓ |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$8$ |
$98.5640846113$ |
10.4.207285037927.1 |
$x^{10} - x^{9} + 3 x^{8} - 7 x^{7} + 8 x^{6} - 7 x^{5} - 13 x^{4} + 14 x^{3} - 15 x^{2} + 7 x - 1$ |
$10$ |
[4,3] |
$-\,11^{8}\cdot 967$ |
$2$ |
$13.5411888683$ |
$211.75193380155596$ |
|
|
? |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$6$ |
$57.1968408668$ |
10.8.209857344499.1 |
$x^{10} - 5 x^{9} + 3 x^{8} + 18 x^{7} - 24 x^{6} - 12 x^{5} + 27 x^{4} - 3 x^{3} - 7 x^{2} + 2 x + 1$ |
$10$ |
[8,1] |
$-\,11^{9}\cdot 89$ |
$2$ |
$13.5578997184$ |
$81.6485393736124$ |
|
|
✓ |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$8$ |
$103.752758179$ |
10.2.212000933309.1 |
$x^{10} - 3 x^{9} + 2 x^{8} - 8 x^{7} + 2 x^{6} - 11 x^{5} + 2 x^{4} - 8 x^{3} + 2 x^{2} - 3 x + 1$ |
$10$ |
[2,4] |
$11^{8}\cdot 23\cdot 43$ |
$3$ |
$13.571685194$ |
$214.14714753857166$ |
|
|
✓ |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$5$ |
$30.4485288637$ |
10.6.212000933309.1 |
$x^{10} - 2 x^{9} - 3 x^{8} + x^{7} + 15 x^{6} - 9 x^{5} - 16 x^{4} + 16 x^{3} + 5 x^{2} - 6 x - 1$ |
$10$ |
[6,2] |
$11^{8}\cdot 23\cdot 43$ |
$3$ |
$13.571685194$ |
$214.14714753857166$ |
|
|
? |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$7$ |
$72.0173552269$ |
10.6.212000933309.2 |
$x^{10} - 5 x^{9} + 7 x^{8} + 2 x^{7} - 16 x^{6} + 20 x^{5} - 8 x^{4} - 5 x^{3} + 5 x^{2} - x - 1$ |
$10$ |
[6,2] |
$11^{8}\cdot 23\cdot 43$ |
$3$ |
$13.571685194$ |
$214.14714753857166$ |
|
|
✓ |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$7$ |
$73.5066704398$ |
10.6.212000933309.3 |
$x^{10} - x^{9} - 7 x^{8} + 12 x^{7} - 6 x^{6} - 5 x^{5} + 19 x^{4} - 19 x^{3} + 6 x^{2} + 2 x - 1$ |
$10$ |
[6,2] |
$11^{8}\cdot 23\cdot 43$ |
$3$ |
$13.571685194$ |
$214.14714753857166$ |
|
|
? |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$7$ |
$72.1223011201$ |
10.6.212000933309.4 |
$x^{10} - x^{9} - 6 x^{8} + 9 x^{7} - 6 x^{6} + 15 x^{5} - 13 x^{4} + x^{3} + x^{2} - 3 x + 1$ |
$10$ |
[6,2] |
$11^{8}\cdot 23\cdot 43$ |
$3$ |
$13.571685194$ |
$214.14714753857166$ |
|
|
? |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$7$ |
$74.9937175723$ |
10.8.212429651071.1 |
$x^{10} - 4 x^{9} + 3 x^{8} + 4 x^{7} - 7 x^{6} + 15 x^{5} - 19 x^{4} - 6 x^{3} + 20 x^{2} - 9 x + 1$ |
$10$ |
[8,1] |
$-\,11^{8}\cdot 991$ |
$2$ |
$13.5744272265$ |
$214.36356714664646$ |
|
|
✓ |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$8$ |
$101.367051907$ |
10.6.217145546453.1 |
$x^{10} - 3 x^{9} + 10 x^{7} - 14 x^{6} - 4 x^{5} + 7 x^{4} + 8 x^{3} + 11 x^{2} + 6 x + 1$ |
$10$ |
[6,2] |
$11^{8}\cdot 1013$ |
$2$ |
$13.6042653012$ |
$216.72992006191265$ |
|
|
? |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$7$ |
$80.2239900879$ |
10.4.219503494144.1 |
$x^{10} + 4 x^{8} + 2 x^{6} - 5 x^{4} - 2 x^{2} + 1$ |
$10$ |
[4,3] |
$-\,2^{10}\cdot 11^{8}$ |
$2$ |
$13.618966255$ |
$26.08313353110776$ |
|
|
✓ |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$6$ |
$52.045573676$ |
10.8.219503494144.1 |
$x^{10} - 2 x^{8} - 5 x^{6} + 13 x^{4} - 7 x^{2} + 1$ |
$10$ |
[8,1] |
$-\,2^{10}\cdot 11^{8}$ |
$2$ |
$13.618966255$ |
$26.08313353110776$ |
|
|
✓ |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$8$ |
$103.208510338$ |
10.4.219503494144.2 |
$x^{10} + x^{8} - 4 x^{6} - 3 x^{4} + 3 x^{2} + 1$ |
$10$ |
[4,3] |
$-\,2^{10}\cdot 11^{8}$ |
$2$ |
$13.618966255$ |
$26.08313353110776$ |
|
|
✓ |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$6$ |
$49.2696195608$ |
10.6.221432724073.1 |
$x^{10} - 3 x^{9} + x^{8} + 12 x^{7} - 13 x^{6} - 7 x^{5} + 16 x^{4} - 13 x^{3} - 6 x^{2} + 10 x + 1$ |
$10$ |
[6,2] |
$11^{8}\cdot 1033$ |
$2$ |
$13.63088897$ |
$218.85894877597138$ |
|
|
? |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$7$ |
$76.5451207374$ |
10.4.240725023363.1 |
$x^{10} - 4 x^{9} + 3 x^{8} + 4 x^{7} - 18 x^{6} + 26 x^{5} - 19 x^{4} + 5 x^{3} - 2 x^{2} + 2 x + 1$ |
$10$ |
[4,3] |
$-\,11^{8}\cdot 1123$ |
$2$ |
$13.7452335583$ |
$228.19389759825796$ |
|
|
? |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$6$ |
$52.4560815957$ |
10.4.254443991747.1 |
$x^{10} - 3 x^{9} + 4 x^{8} - 4 x^{7} - 3 x^{6} - 11 x^{5} + 31 x^{4} - 3 x^{3} + 13 x^{2} - x - 1$ |
$10$ |
[4,3] |
$-\,11^{8}\cdot 1187$ |
$2$ |
$13.8216286359$ |
$234.606212131693$ |
|
|
? |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$6$ |
$61.3011087004$ |
10.4.257016298319.1 |
$x^{10} - 5 x^{9} + 14 x^{8} - 26 x^{7} + 31 x^{6} - 23 x^{5} + 5 x^{4} + 8 x^{3} - 7 x^{2} + 2 x + 1$ |
$10$ |
[4,3] |
$-\,11^{9}\cdot 109$ |
$2$ |
$13.8355384756$ |
$90.35801165308608$ |
|
|
✓ |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$6$ |
$57.311250272$ |