Global number field search results

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Degree	Signature	Galois group	Class number	Class group
Regulator	Num. ramified primes	Ramified primes		Unramified primes
CM field	Discriminant		Root discriminant

Results (displaying matches 1-50 of 57)

Label	Polynomial	Discriminant	Galois group	Class group
11.1.129891985607.1	x^11 - x^10 + 5x^9 - 4x^8 + 10x^7 - 6x^6 + 11x^5 - 7x^4 + 9x^3 - 4x^2 + 2x + 1	\( -\,167^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.1461660310351.1	x^11 + x^9 - x^8 + 3x^7 + 3x^6 - 6x^5 + 3x^4 + 5x^3 - 6x^2 + 5x + 1	\( -\,271^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.72100355223951.1	x^11 - 3x^10 + 8x^8 + 3x^7 - 42x^6 + 61x^5 - 21x^4 - 33x^3 + 45x^2 + 9x - 27	\( -\,3^{5}\cdot 197^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.93851287159343.1	x^11 - 5x^10 + 13x^9 - 22x^8 + 32x^7 - 44x^6 + 47x^5 - 30x^4 + 11x^3 + 6x^2 - 21x + 17	\( -\,7^{5}\cdot 89^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.124287391407299.1	x^11 - x^10 - 4x^9 - 15x^8 - 7x^7 + 14x^6 + 15x^5 - 35x^4 + 16x^3 - x^2 + 3x - 2	\( -\,659^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.265446387748607.1	x^11 - x^10 - 2x^9 + 4x^8 - 3x^7 + x^6 + 20x^5 - 48x^4 + 35x^3 + 7x^2 - 26x + 13	\( -\,13^{5}\cdot 59^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.415728505588199.1	x^11 - 2x^10 + x^9 - 5x^8 + 18x^7 - 17x^6 + 17x^4 - 13x^3 - 5x^2 + 17x - 1	\( -\,839^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.501292001353351.1	x^11 - 2x^10 + x^9 + 11x^8 - 8x^7 - 5x^6 + 33x^5 - 16x^4 - 28x^3 + 29x^2 - 12x + 9	\( -\,13^{5}\cdot 67^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.524740246980399.1	x^11 - 4x^10 + 2x^9 + 13x^8 - 36x^7 + 69x^6 - 82x^5 + 103x^4 - 74x^3 + 50x^2 - 18x + 3	\( -\,3^{5}\cdot 293^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.845536520469607.1	x^11 - 2x^10 - x^9 - 13x^8 + 6x^7 + 18x^6 + 81x^5 + 99x^4 + 122x^3 + 68x^2 + 43x + 1	\( -\,967^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.1442319106405376.1	x^11 - x^10 - x^9 + 3x^8 + 27x^7 + 51x^6 + 29x^5 - 31x^4 - 48x^3 - 22x^2 + 16x - 8	\( -\,2^{10}\cdot 269^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.1692662195786551.1	x^11 - 3x^10 + 6x^9 - 11x^8 + 22x^7 - 19x^6 + 19x^5 - 37x^4 + 60x^3 - 46x^2 + 22x - 11	\( -\,11^{5}\cdot 101^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.2164483503590607.1	x^11 - 4x^10 - x^9 + 7x^8 + 30x^7 - 91x^5 - 95x^4 + 28x^3 + 200x^2 + 177x - 9	\( -\,3^{5}\cdot 389^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.3476428341766643.1	x^11 - 5x^10 + 6x^9 - x^7 + 47x^6 + 32x^5 + 64x^4 + 99x^3 + 59x^2 + 34x + 20	\( -\,1283^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.11.3670285774226257.1	x^11 - 5x^10 - 4x^9 + 54x^8 - 53x^7 - 127x^6 + 208x^5 + 69x^4 - 222x^3 + 29x^2 + 56x - 5	\( 1297^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.3755969686826743.1	x^11 - 3x^10 + 5x^9 - 18x^8 + 61x^7 - 116x^6 + 160x^5 - 197x^4 + 189x^3 - 65x^2 + 17x - 35	\( -\,1303^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.3770404603265024.1	x^11 - x^10 - x^9 + 5x^8 + 5x^7 - 33x^6 - 47x^5 + 3x^4 + 138x^3 + 82x^2 - 48x - 136	\( -\,2^{15}\cdot 163^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.3813975842323307.1	x^11 - 4x^10 + 10x^9 - 17x^8 + 10x^7 - 4x^6 + 59x^5 - 124x^4 + 150x^3 + 69x^2 + 30x - 4	\( -\,1307^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.4177248169415651.1	x^11 - 11x^8 - 44x^7 - 88x^6 - 121x^5 - 176x^4 - 220x^3 - 165x^2 - 44x - 4	\( -\,11^{15} \)	$D_{11}$ (as 11T2)	Trivial
11.1.5207576397467951.1	x^11 - 4x^10 + 5x^9 + 12x^8 - 35x^7 + 4x^6 + 46x^5 - 21x^4 + 38x^3 + 62x^2 + 13	\( -\,13^{5}\cdot 107^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.6611141604851299.1	x^11 - x^10 - 10x^9 + 14x^8 + 29x^7 - 97x^6 + 26x^5 + 332x^4 - 251x^3 - 507x^2 + 486x - 108	\( -\,1459^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.8411548502536651.1	x^11 - 2x^10 + 4x^9 - 9x^7 + 64x^6 - 107x^5 - 12x^4 + 332x^3 - 414x^2 + 99x + 108	\( -\,1531^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.9121115669451776.1	x^11 - 2x^10 + 6x^9 + 8x^8 - 26x^7 + 52x^6 + 76x^5 - 208x^4 + 377x^3 - 242x^2 + 206x + 8	\( -\,2^{10}\cdot 389^{5} \)	$D_{11}$ (as 11T2)	Trivial (GRH)
11.1.9940416333948143.1	x^11 - 5x^10 + 10x^9 - 15x^8 + 26x^7 - 7x^6 - 18x^5 + 13x^4 - 3x^3 + 24x^2 + 6x + 5	\( -\,1583^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.10194147150028951.1	x^11 + 6x^9 - 6x^8 + 17x^7 + 45x^6 + 42x^5 - 96x^4 - 2x^3 + 198x^2 + 81x - 27	\( -\,37^{5}\cdot 43^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.11541700626397151.1	x^11 - 3x^10 - x^9 + 21x^8 - 19x^7 + 11x^6 - 287x^5 + 1051x^4 - 1869x^3 + 1988x^2 - 1225x + 343	\( -\,7^{5}\cdot 233^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.11827549324152199.1	x^11 - 3x^10 + 5x^9 + 2x^8 - 7x^7 - 33x^6 + 97x^5 - 93x^4 - 49x^3 + 206x^2 + 572x - 549	\( -\,11^{5}\cdot 149^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.12416236908284375.1	x^11 - 2x^10 + 2x^9 + x^8 + 7x^7 - 4x^6 - 28x^5 - 44x^4 - 203x^3 - 319x^2 - 229x - 107	\( -\,5^{5}\cdot 331^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.14156858601108499.1	x^11 - 3x^10 + 11x^9 - 32x^8 + 44x^7 - 40x^6 + 131x^5 - 109x^4 - 287x^3 + 584x^2 - 384x + 88	\( -\,1699^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.24957089785469743.1	x^11 - 5x^10 + 9x^9 - 27x^8 + 75x^7 - 81x^6 + 105x^5 - 210x^4 + 173x^3 + 158x^2 + 264x - 495	\( -\,11^{5}\cdot 173^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.26024049340425599.1	x^11 - 2x^10 - x^9 + 5x^8 + 9x^6 - 53x^5 + 81x^4 - 87x^3 + 143x^2 - 142x + 53	\( -\,19^{5}\cdot 101^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.28267431405534751.1	x^11 - 3x^10 + 8x^9 - 9x^8 - 2x^7 - 40x^6 - 218x^5 - 331x^4 - 129x^3 + 47x^2 + 14x - 37	\( -\,1951^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.34219112648758907.1	x^11 - 3x^10 + x^9 + 4x^8 - 32x^7 + 76x^6 - x^5 - 153x^4 + 407x^3 - 776x^2 + 728x - 392	\( -\,2027^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.59876664661656107.1	x^11 - 3x^10 + 5x^9 - 15x^8 + 48x^7 + 34x^6 + 299x^5 + 325x^4 + 597x^3 + 239x^2 + 170x - 100	\( -\,2267^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.83515497143728343.1	x^11 - x^10 + 16x^8 - 11x^7 - 6x^6 + 218x^5 + 115x^4 + 253x^3 + 1302x^2 + 1063x + 373	\( -\,2423^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.105514830195736699.1	x^11 - 3x^10 + 10x^9 - 21x^8 + 19x^7 + 26x^6 - 109x^5 + 411x^4 - 398x^3 - 215x^2 + 261x + 162	\( -\,2539^{5} \)	$D_{11}$ (as 11T2)	Trivial (GRH)
11.1.151917743390062651.1	x^11 - 5x^10 + 21x^9 - 95x^8 + 231x^7 - 567x^6 + 1152x^5 - 1716x^4 + 2000x^3 - 1744x^2 + 960x - 256	\( -\,2731^{5} \)	$D_{11}$ (as 11T2)	Trivial (GRH)
11.1.188358874416239251.1	x^11 - 3x^10 + 2x^9 - 13x^8 + 72x^7 - 171x^6 + 170x^5 - 103x^4 + 167x^3 - 558x^2 + 612x - 432	\( -\,2851^{5} \)	$D_{11}$ (as 11T2)	Trivial (GRH)
11.1.231479885578703851.1	x^11 - 11x^9 - 43x^8 - 45x^7 - 99x^6 - 126x^5 - 75x^4 - 178x^3 - 120x^2 + 8x - 176	\( -\,2971^{5} \)	$D_{11}$ (as 11T2)	Trivial (GRH)
11.1.337120135886096243.1	x^11 - 3x^10 + 4x^9 + 6x^8 - 48x^7 + 50x^6 + 153x^5 - 597x^4 + 990x^3 - 900x^2 + 448x - 64	\( -\,3203^{5} \)	$D_{11}$ (as 11T2)	Trivial (GRH)
11.1.420028308898781507.1	x^11 - 4x^10 + 8x^9 - 13x^8 + 9x^7 + 102x^6 - 346x^5 + 447x^4 - 472x^3 + 796x^2 - 1024x + 560	\( -\,3347^{5} \)	$D_{11}$ (as 11T2)	Trivial (GRH)
11.1.524468866127517499.1	x^11 + x^9 - 12x^8 + 14x^7 - 42x^6 + 131x^5 - 234x^4 + 85x^3 + 48x^2 - 32x - 24	\( -\,3499^{5} \)	$D_{11}$ (as 11T2)	Trivial (GRH)
11.1.730764305289982699.1	x^11 - 5x^10 + 7x^9 - 12x^8 + 56x^7 - 100x^6 + 31x^5 + 41x^4 + 377x^3 - 736x^2 + 408x - 72	\( -\,3739^{5} \)	$D_{11}$ (as 11T2)	Trivial (GRH)
11.1.938674930338388651.1	x^11 - 2x^10 - 15x^9 + 24x^8 + 46x^7 - 44x^6 + 217x^5 - 344x^4 - 381x^3 - 162x^2 - 428x - 1616	\( -\,3931^{5} \)	$D_{11}$ (as 11T2)	Trivial (GRH)
11.1.982451233759284607.1	x^11 - 4x^10 + 27x^9 - 62x^8 + 149x^7 - 48x^6 + 107x^5 + 475x^4 - 162x^3 + 720x^2 + 2403x - 81	\( -\,3967^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.11.1035571956771279049.1	x^11 - 5x^10 - 18x^9 + 114x^8 + 37x^7 - 856x^6 + 746x^5 + 2117x^4 - 3648x^3 + 135x^2 + 2677x - 1301	\( 19^{5}\cdot 211^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.1090965999809045251.1	x^11 - 2x^10 + 11x^9 - 48x^8 + 62x^7 - 138x^6 + 439x^5 - 348x^4 + 47x^3 - 1040x^2 + 1424x + 296	\( -\,4051^{5} \)	$D_{11}$ (as 11T2)	Trivial (GRH)
11.1.1145901789099541451.1	x^11 + 16x^9 - 8x^8 + 120x^7 + 80x^6 + 203x^5 - 156x^4 + 36x^3 - 472x^2 - 768x - 608	\( -\,4091^{5} \)	$D_{11}$ (as 11T2)	Trivial (GRH)
11.1.1692718329054138343.1	x^11 - 5x^10 + 8x^9 - 28x^8 + 152x^7 - 272x^6 + 70x^5 - 95x^4 + 377x^3 + 152x^2 + 20x + 25	\( -\,4423^{5} \)	$D_{11}$ (as 11T2)	Trivial (GRH)
11.1.1770656973616778543.1	x^11 - 4x^10 + 11x^9 - 49x^8 + 268x^7 - 981x^6 + 2936x^5 - 8282x^4 + 18677x^3 - 27566x^2 + 23275x - 8575	\( -\,4463^{5} \)	$D_{11}$ (as 11T2)	Trivial