Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [60,3,Mod(23,60)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(60, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 2, 3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("60.23");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 60 = 2^{2} \cdot 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 60.l (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.63488158616\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(20\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 23.19 | ||
Character | \(\chi\) | \(=\) | 60.23 |
Dual form | 60.3.l.a.47.19 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/60\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(37\) | \(41\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.84549 | − | 0.770813i | 0.922747 | − | 0.385406i | ||||
\(3\) | 1.12501 | + | 2.78107i | 0.375005 | + | 0.927023i | ||||
\(4\) | 2.81170 | − | 2.84506i | 0.702924 | − | 0.711265i | ||||
\(5\) | −3.86232 | − | 3.17529i | −0.772465 | − | 0.635058i | ||||
\(6\) | 4.21989 | + | 4.26527i | 0.703315 | + | 0.710878i | ||||
\(7\) | 4.75159 | + | 4.75159i | 0.678799 | + | 0.678799i | 0.959728 | − | 0.280930i | \(-0.0906428\pi\) |
−0.280930 | + | 0.959728i | \(0.590643\pi\) | |||||||
\(8\) | 2.99596 | − | 7.41783i | 0.374495 | − | 0.927229i | ||||
\(9\) | −6.46869 | + | 6.25748i | −0.718743 | + | 0.695276i | ||||
\(10\) | −9.57545 | − | 2.88285i | −0.957545 | − | 0.288285i | ||||
\(11\) | −11.9496 | −1.08633 | −0.543164 | − | 0.839626i | \(-0.682774\pi\) | ||||
−0.543164 | + | 0.839626i | \(0.682774\pi\) | |||||||
\(12\) | 11.0755 | + | 4.61879i | 0.922959 | + | 0.384899i | ||||
\(13\) | −4.22368 | − | 4.22368i | −0.324899 | − | 0.324899i | 0.525744 | − | 0.850643i | \(-0.323787\pi\) |
−0.850643 | + | 0.525744i | \(0.823787\pi\) | |||||||
\(14\) | 12.4316 | + | 5.10644i | 0.887973 | + | 0.364746i | ||||
\(15\) | 4.48553 | − | 14.3136i | 0.299035 | − | 0.954242i | ||||
\(16\) | −0.188739 | − | 15.9989i | −0.0117962 | − | 0.999930i | ||||
\(17\) | −9.35253 | − | 9.35253i | −0.550149 | − | 0.550149i | 0.376335 | − | 0.926484i | \(-0.377184\pi\) |
−0.926484 | + | 0.376335i | \(0.877184\pi\) | |||||||
\(18\) | −7.11458 | + | 16.5343i | −0.395254 | + | 0.918572i | ||||
\(19\) | 1.48848 | 0.0783411 | 0.0391706 | − | 0.999233i | \(-0.487528\pi\) | ||||
0.0391706 | + | 0.999233i | \(0.487528\pi\) | |||||||
\(20\) | −19.8936 | + | 2.06060i | −0.994678 | + | 0.103030i | ||||
\(21\) | −7.86889 | + | 18.5601i | −0.374709 | + | 0.883815i | ||||
\(22\) | −22.0529 | + | 9.21092i | −1.00241 | + | 0.418678i | ||||
\(23\) | 11.6030 | + | 11.6030i | 0.504478 | + | 0.504478i | 0.912826 | − | 0.408348i | \(-0.133895\pi\) |
−0.408348 | + | 0.912826i | \(0.633895\pi\) | |||||||
\(24\) | 24.0000 | − | 0.0132009i | 1.00000 | − | 0.000550037i | ||||
\(25\) | 4.83510 | + | 24.5280i | 0.193404 | + | 0.981119i | ||||
\(26\) | −11.0504 | − | 4.53911i | −0.425017 | − | 0.174581i | ||||
\(27\) | −24.6799 | − | 10.9501i | −0.914069 | − | 0.405560i | ||||
\(28\) | 26.8786 | − | 0.158538i | 0.959950 | − | 0.00566206i | ||||
\(29\) | 39.3671 | 1.35749 | 0.678743 | − | 0.734376i | \(-0.262525\pi\) | ||||
0.678743 | + | 0.734376i | \(0.262525\pi\) | |||||||
\(30\) | −2.75512 | − | 29.8732i | −0.0918374 | − | 0.995774i | ||||
\(31\) | 43.6522i | 1.40813i | 0.710133 | + | 0.704067i | \(0.248635\pi\) | ||||
−0.710133 | + | 0.704067i | \(0.751365\pi\) | |||||||
\(32\) | −12.6805 | − | 29.3804i | −0.396264 | − | 0.918136i | ||||
\(33\) | −13.4435 | − | 33.2327i | −0.407378 | − | 1.00705i | ||||
\(34\) | −24.4691 | − | 10.0510i | −0.719679 | − | 0.295617i | ||||
\(35\) | −3.26452 | − | 33.4399i | −0.0932719 | − | 0.955424i | ||||
\(36\) | −0.385062 | + | 35.9979i | −0.0106962 | + | 0.999943i | ||||
\(37\) | 49.1693 | − | 49.1693i | 1.32890 | − | 1.32890i | 0.422571 | − | 0.906330i | \(-0.361128\pi\) |
0.906330 | − | 0.422571i | \(-0.138872\pi\) | |||||||
\(38\) | 2.74698 | − | 1.14734i | 0.0722890 | − | 0.0301932i | ||||
\(39\) | 6.99465 | − | 16.4981i | 0.179350 | − | 0.423027i | ||||
\(40\) | −35.1251 | + | 19.1370i | −0.878128 | + | 0.478426i | ||||
\(41\) | 27.0663i | 0.660153i | 0.943954 | + | 0.330077i | \(0.107075\pi\) | ||||
−0.943954 | + | 0.330077i | \(0.892925\pi\) | |||||||
\(42\) | −0.215630 | + | 40.3180i | −0.00513405 | + | 0.959953i | ||||
\(43\) | 8.84693 | − | 8.84693i | 0.205742 | − | 0.205742i | −0.596713 | − | 0.802455i | \(-0.703527\pi\) |
0.802455 | + | 0.596713i | \(0.203527\pi\) | |||||||
\(44\) | −33.5987 | + | 33.9974i | −0.763606 | + | 0.772668i | ||||
\(45\) | 44.8535 | − | 3.62848i | 0.996744 | − | 0.0806329i | ||||
\(46\) | 30.3570 | + | 12.4695i | 0.659935 | + | 0.271077i | ||||
\(47\) | 15.0010 | − | 15.0010i | 0.319170 | − | 0.319170i | −0.529278 | − | 0.848448i | \(-0.677537\pi\) |
0.848448 | + | 0.529278i | \(0.177537\pi\) | |||||||
\(48\) | 44.2817 | − | 18.5239i | 0.922535 | − | 0.385914i | ||||
\(49\) | − | 3.84477i | − | 0.0784648i | ||||||
\(50\) | 27.8296 | + | 41.5393i | 0.556592 | + | 0.830786i | ||||
\(51\) | 15.4883 | − | 36.5318i | 0.303692 | − | 0.716309i | ||||
\(52\) | −23.8923 | + | 0.140924i | −0.459468 | + | 0.00271008i | ||||
\(53\) | −14.6333 | + | 14.6333i | −0.276100 | + | 0.276100i | −0.831550 | − | 0.555450i | \(-0.812546\pi\) |
0.555450 | + | 0.831550i | \(0.312546\pi\) | |||||||
\(54\) | −53.9870 | − | 1.18482i | −0.999759 | − | 0.0219410i | ||||
\(55\) | 46.1533 | + | 37.9435i | 0.839151 | + | 0.689881i | ||||
\(56\) | 49.4821 | − | 21.0109i | 0.883608 | − | 0.375195i | ||||
\(57\) | 1.67456 | + | 4.13957i | 0.0293783 | + | 0.0726240i | ||||
\(58\) | 72.6517 | − | 30.3447i | 1.25262 | − | 0.523184i | ||||
\(59\) | 61.7260i | 1.04620i | 0.852270 | + | 0.523102i | \(0.175225\pi\) | ||||
−0.852270 | + | 0.523102i | \(0.824775\pi\) | |||||||
\(60\) | −28.1112 | − | 53.0072i | −0.468520 | − | 0.883453i | ||||
\(61\) | −84.6009 | −1.38690 | −0.693450 | − | 0.720505i | \(-0.743910\pi\) | ||||
−0.693450 | + | 0.720505i | \(0.743910\pi\) | |||||||
\(62\) | 33.6477 | + | 80.5598i | 0.542704 | + | 1.29935i | ||||
\(63\) | −60.4695 | − | 1.00356i | −0.959834 | − | 0.0159295i | ||||
\(64\) | −46.0485 | − | 44.4470i | −0.719507 | − | 0.694485i | ||||
\(65\) | 2.90182 | + | 29.7246i | 0.0446434 | + | 0.457302i | ||||
\(66\) | −50.4261 | − | 50.9683i | −0.764031 | − | 0.772248i | ||||
\(67\) | −65.7467 | − | 65.7467i | −0.981293 | − | 0.981293i | 0.0185347 | − | 0.999828i | \(-0.494100\pi\) |
−0.999828 | + | 0.0185347i | \(0.994100\pi\) | |||||||
\(68\) | −52.9050 | + | 0.312049i | −0.778014 | + | 0.00458896i | ||||
\(69\) | −19.2152 | + | 45.3223i | −0.278481 | + | 0.656844i | ||||
\(70\) | −31.8005 | − | 59.1967i | −0.454293 | − | 0.845667i | ||||
\(71\) | 14.2794 | 0.201118 | 0.100559 | − | 0.994931i | \(-0.467937\pi\) | ||||
0.100559 | + | 0.994931i | \(0.467937\pi\) | |||||||
\(72\) | 27.0370 | + | 66.7308i | 0.375514 | + | 0.926817i | ||||
\(73\) | 16.0903 | + | 16.0903i | 0.220415 | + | 0.220415i | 0.808673 | − | 0.588258i | \(-0.200186\pi\) |
−0.588258 | + | 0.808673i | \(0.700186\pi\) | |||||||
\(74\) | 52.8413 | − | 128.642i | 0.714072 | − | 1.73841i | ||||
\(75\) | −62.7745 | + | 41.0411i | −0.836993 | + | 0.547214i | ||||
\(76\) | 4.18516 | − | 4.23482i | 0.0550678 | − | 0.0557213i | ||||
\(77\) | −56.7797 | − | 56.7797i | −0.737399 | − | 0.737399i | ||||
\(78\) | 0.191673 | − | 35.8386i | 0.00245735 | − | 0.459470i | ||||
\(79\) | 9.32721 | 0.118066 | 0.0590330 | − | 0.998256i | \(-0.481198\pi\) | ||||
0.0590330 | + | 0.998256i | \(0.481198\pi\) | |||||||
\(80\) | −50.0721 | + | 62.3922i | −0.625901 | + | 0.779902i | ||||
\(81\) | 2.68783 | − | 80.9554i | 0.0331831 | − | 0.999449i | ||||
\(82\) | 20.8630 | + | 49.9507i | 0.254427 | + | 0.609154i | ||||
\(83\) | 12.7500 | + | 12.7500i | 0.153615 | + | 0.153615i | 0.779730 | − | 0.626116i | \(-0.215356\pi\) |
−0.626116 | + | 0.779730i | \(0.715356\pi\) | |||||||
\(84\) | 30.6797 | + | 74.5728i | 0.365234 | + | 0.887772i | ||||
\(85\) | 6.42553 | + | 65.8195i | 0.0755945 | + | 0.774347i | ||||
\(86\) | 9.50762 | − | 23.1463i | 0.110554 | − | 0.269143i | ||||
\(87\) | 44.2885 | + | 109.483i | 0.509063 | + | 1.25842i | ||||
\(88\) | −35.8005 | + | 88.6403i | −0.406824 | + | 1.00728i | ||||
\(89\) | −52.4342 | −0.589148 | −0.294574 | − | 0.955629i | \(-0.595178\pi\) | ||||
−0.294574 | + | 0.955629i | \(0.595178\pi\) | |||||||
\(90\) | 79.9799 | − | 41.2700i | 0.888666 | − | 0.458555i | ||||
\(91\) | − | 40.1384i | − | 0.441082i | ||||||
\(92\) | 65.6353 | − | 0.387136i | 0.713427 | − | 0.00420800i | ||||
\(93\) | −121.400 | + | 49.1093i | −1.30537 | + | 0.528057i | ||||
\(94\) | 16.1213 | − | 39.2471i | 0.171503 | − | 0.417523i | ||||
\(95\) | −5.74900 | − | 4.72636i | −0.0605158 | − | 0.0497511i | ||||
\(96\) | 67.4431 | − | 68.3186i | 0.702533 | − | 0.711652i | ||||
\(97\) | 6.90848 | − | 6.90848i | 0.0712214 | − | 0.0712214i | −0.670599 | − | 0.741820i | \(-0.733963\pi\) |
0.741820 | + | 0.670599i | \(0.233963\pi\) | |||||||
\(98\) | −2.96360 | − | 7.09551i | −0.0302408 | − | 0.0724031i | ||||
\(99\) | 77.2983 | − | 74.7745i | 0.780791 | − | 0.755298i | ||||
\(100\) | 83.3784 | + | 55.2091i | 0.833784 | + | 0.552091i | ||||
\(101\) | − | 15.0065i | − | 0.148579i | −0.997237 | − | 0.0742894i | \(-0.976331\pi\) | ||
0.997237 | − | 0.0742894i | \(-0.0236689\pi\) | |||||||
\(102\) | 0.424424 | − | 79.3577i | 0.00416102 | − | 0.778017i | ||||
\(103\) | −10.0417 | + | 10.0417i | −0.0974926 | + | 0.0974926i | −0.754171 | − | 0.656678i | \(-0.771961\pi\) |
0.656678 | + | 0.754171i | \(0.271961\pi\) | |||||||
\(104\) | −43.9845 | + | 18.6766i | −0.422928 | + | 0.179583i | ||||
\(105\) | 89.3259 | − | 46.6991i | 0.850723 | − | 0.444754i | ||||
\(106\) | −15.7261 | + | 38.2852i | −0.148360 | + | 0.361181i | ||||
\(107\) | −15.4027 | + | 15.4027i | −0.143950 | + | 0.143950i | −0.775409 | − | 0.631459i | \(-0.782456\pi\) |
0.631459 | + | 0.775409i | \(0.282456\pi\) | |||||||
\(108\) | −100.546 | + | 39.4273i | −0.930981 | + | 0.365068i | ||||
\(109\) | 15.6958i | 0.143998i | 0.997405 | + | 0.0719992i | \(0.0229379\pi\) | ||||
−0.997405 | + | 0.0719992i | \(0.977062\pi\) | |||||||
\(110\) | 114.423 | + | 34.4489i | 1.04021 | + | 0.313172i | ||||
\(111\) | 192.059 | + | 81.4271i | 1.73027 | + | 0.733577i | ||||
\(112\) | 75.1234 | − | 76.9170i | 0.670744 | − | 0.686759i | ||||
\(113\) | 33.3231 | − | 33.3231i | 0.294895 | − | 0.294895i | −0.544116 | − | 0.839010i | \(-0.683135\pi\) |
0.839010 | + | 0.544116i | \(0.183135\pi\) | |||||||
\(114\) | 6.28123 | + | 6.34877i | 0.0550985 | + | 0.0556910i | ||||
\(115\) | −7.97168 | − | 81.6574i | −0.0693190 | − | 0.710064i | ||||
\(116\) | 110.688 | − | 112.002i | 0.954209 | − | 0.965532i | ||||
\(117\) | 53.7513 | + | 0.892063i | 0.459413 | + | 0.00762447i | ||||
\(118\) | 47.5792 | + | 113.915i | 0.403214 | + | 0.965382i | ||||
\(119\) | − | 88.8788i | − | 0.746881i | ||||||
\(120\) | −92.7377 | − | 76.1559i | −0.772814 | − | 0.634633i | ||||
\(121\) | 21.7934 | 0.180110 | ||||||||
\(122\) | −156.130 | + | 65.2114i | −1.27976 | + | 0.534520i | ||||
\(123\) | −75.2732 | + | 30.4500i | −0.611977 | + | 0.247561i | ||||
\(124\) | 124.193 | + | 122.737i | 1.00156 | + | 0.989812i | ||||
\(125\) | 59.2087 | − | 110.088i | 0.473670 | − | 0.880703i | ||||
\(126\) | −112.370 | + | 44.7586i | −0.891823 | + | 0.355227i | ||||
\(127\) | 11.9832 | + | 11.9832i | 0.0943557 | + | 0.0943557i | 0.752709 | − | 0.658353i | \(-0.228747\pi\) |
−0.658353 | + | 0.752709i | \(0.728747\pi\) | |||||||
\(128\) | −119.243 | − | 46.5320i | −0.931582 | − | 0.363531i | ||||
\(129\) | 34.5568 | + | 14.6510i | 0.267882 | + | 0.113574i | ||||
\(130\) | 28.2674 | + | 52.6199i | 0.217442 | + | 0.404768i | ||||
\(131\) | −228.815 | −1.74668 | −0.873341 | − | 0.487109i | \(-0.838051\pi\) | ||||
−0.873341 | + | 0.487109i | \(0.838051\pi\) | |||||||
\(132\) | −132.348 | − | 55.1927i | −1.00264 | − | 0.418127i | ||||
\(133\) | 7.07265 | + | 7.07265i | 0.0531778 | + | 0.0531778i | ||||
\(134\) | −172.013 | − | 70.6567i | −1.28368 | − | 0.527289i | ||||
\(135\) | 60.5518 | + | 120.659i | 0.448532 | + | 0.893767i | ||||
\(136\) | −97.3953 | + | 41.3557i | −0.716142 | + | 0.304086i | ||||
\(137\) | 155.485 | + | 155.485i | 1.13492 | + | 1.13492i | 0.989347 | + | 0.145578i | \(0.0465042\pi\) |
0.145578 | + | 0.989347i | \(0.453496\pi\) | |||||||
\(138\) | −0.526552 | + | 98.4533i | −0.00381559 | + | 0.713430i | ||||
\(139\) | −220.188 | −1.58409 | −0.792043 | − | 0.610465i | \(-0.790982\pi\) | ||||
−0.792043 | + | 0.610465i | \(0.790982\pi\) | |||||||
\(140\) | −104.317 | − | 84.7349i | −0.745123 | − | 0.605249i | ||||
\(141\) | 58.5950 | + | 24.8424i | 0.415568 | + | 0.176187i | ||||
\(142\) | 26.3525 | − | 11.0067i | 0.185581 | − | 0.0775123i | ||||
\(143\) | 50.4714 | + | 50.4714i | 0.352947 | + | 0.352947i | ||||
\(144\) | 101.334 | + | 102.311i | 0.703706 | + | 0.710491i | ||||
\(145\) | −152.048 | − | 125.002i | −1.04861 | − | 0.862082i | ||||
\(146\) | 42.0971 | + | 17.2919i | 0.288337 | + | 0.118438i | ||||
\(147\) | 10.6926 | − | 4.32542i | 0.0727386 | − | 0.0294247i | ||||
\(148\) | −1.64054 | − | 278.139i | −0.0110848 | − | 1.87932i | ||||
\(149\) | 24.2943 | 0.163049 | 0.0815247 | − | 0.996671i | \(-0.474021\pi\) | ||||
0.0815247 | + | 0.996671i | \(0.474021\pi\) | |||||||
\(150\) | −84.2149 | + | 124.128i | −0.561433 | + | 0.827522i | ||||
\(151\) | − | 120.766i | − | 0.799772i | −0.916565 | − | 0.399886i | \(-0.869050\pi\) | ||
0.916565 | − | 0.399886i | \(-0.130950\pi\) | |||||||
\(152\) | 4.45943 | − | 11.0413i | 0.0293383 | − | 0.0726402i | ||||
\(153\) | 119.022 | + | 1.97530i | 0.777921 | + | 0.0129105i | ||||
\(154\) | −148.553 | − | 61.0201i | −0.964630 | − | 0.396234i | ||||
\(155\) | 138.608 | − | 168.599i | 0.894247 | − | 1.08773i | ||||
\(156\) | −27.2711 | − | 66.2877i | −0.174815 | − | 0.424921i | ||||
\(157\) | −77.1260 | + | 77.1260i | −0.491249 | + | 0.491249i | −0.908700 | − | 0.417451i | \(-0.862924\pi\) |
0.417451 | + | 0.908700i | \(0.362924\pi\) | |||||||
\(158\) | 17.2133 | − | 7.18953i | 0.108945 | − | 0.0455034i | ||||
\(159\) | −57.1589 | − | 24.2336i | −0.359490 | − | 0.152412i | ||||
\(160\) | −44.3151 | + | 153.741i | −0.276969 | + | 0.960879i | ||||
\(161\) | 110.265i | 0.684878i | ||||||||
\(162\) | −57.4411 | − | 151.474i | −0.354575 | − | 0.935028i | ||||
\(163\) | 179.764 | − | 179.764i | 1.10285 | − | 1.10285i | 0.108783 | − | 0.994065i | \(-0.465305\pi\) |
0.994065 | − | 0.108783i | \(-0.0346955\pi\) | |||||||
\(164\) | 77.0052 | + | 76.1022i | 0.469544 | + | 0.464038i | ||||
\(165\) | −53.6003 | + | 171.042i | −0.324850 | + | 1.03662i | ||||
\(166\) | 33.3580 | + | 13.7022i | 0.200952 | + | 0.0825434i | ||||
\(167\) | 56.8272 | − | 56.8272i | 0.340283 | − | 0.340283i | −0.516191 | − | 0.856474i | \(-0.672651\pi\) |
0.856474 | + | 0.516191i | \(0.172651\pi\) | |||||||
\(168\) | 114.101 | + | 113.975i | 0.679172 | + | 0.678425i | ||||
\(169\) | − | 133.321i | − | 0.788882i | ||||||
\(170\) | 62.5928 | + | 116.517i | 0.368193 | + | 0.685392i | ||||
\(171\) | −9.62852 | + | 9.31414i | −0.0563071 | + | 0.0544687i | ||||
\(172\) | −0.295179 | − | 50.0449i | −0.00171616 | − | 0.290959i | ||||
\(173\) | 130.746 | − | 130.746i | 0.755756 | − | 0.755756i | −0.219791 | − | 0.975547i | \(-0.570538\pi\) |
0.975547 | + | 0.219791i | \(0.0705377\pi\) | |||||||
\(174\) | 166.125 | + | 167.911i | 0.954740 | + | 0.965007i | ||||
\(175\) | −93.5725 | + | 139.521i | −0.534700 | + | 0.797265i | ||||
\(176\) | 2.25536 | + | 191.181i | 0.0128145 | + | 1.08625i | ||||
\(177\) | −171.664 | + | 69.4427i | −0.969855 | + | 0.392331i | ||||
\(178\) | −96.7670 | + | 40.4170i | −0.543635 | + | 0.227062i | ||||
\(179\) | 213.930i | 1.19514i | 0.801816 | + | 0.597571i | \(0.203867\pi\) | ||||
−0.801816 | + | 0.597571i | \(0.796133\pi\) | |||||||
\(180\) | 115.791 | − | 137.813i | 0.643284 | − | 0.765628i | ||||
\(181\) | 155.404 | 0.858588 | 0.429294 | − | 0.903165i | \(-0.358762\pi\) | ||||
0.429294 | + | 0.903165i | \(0.358762\pi\) | |||||||
\(182\) | −30.9392 | − | 74.0752i | −0.169996 | − | 0.407007i | ||||
\(183\) | −95.1771 | − | 235.281i | −0.520094 | − | 1.28569i | ||||
\(184\) | 120.831 | − | 51.3070i | 0.656691 | − | 0.278842i | ||||
\(185\) | −346.035 | + | 33.7811i | −1.87046 | + | 0.182601i | ||||
\(186\) | −186.188 | + | 184.207i | −1.00101 | + | 0.990362i | ||||
\(187\) | 111.759 | + | 111.759i | 0.597643 | + | 0.597643i | ||||
\(188\) | −0.500511 | − | 84.8569i | −0.00266229 | − | 0.451366i | ||||
\(189\) | −65.2381 | − | 169.299i | −0.345175 | − | 0.895762i | ||||
\(190\) | −14.2529 | − | 4.29106i | −0.0750151 | − | 0.0225845i | ||||
\(191\) | −102.576 | −0.537047 | −0.268524 | − | 0.963273i | \(-0.586536\pi\) | ||||
−0.268524 | + | 0.963273i | \(0.586536\pi\) | |||||||
\(192\) | 71.8050 | − | 178.068i | 0.373985 | − | 0.927435i | ||||
\(193\) | 138.213 | + | 138.213i | 0.716129 | + | 0.716129i | 0.967810 | − | 0.251681i | \(-0.0809835\pi\) |
−0.251681 | + | 0.967810i | \(0.580983\pi\) | |||||||
\(194\) | 7.42441 | − | 18.0747i | 0.0382701 | − | 0.0931685i | ||||
\(195\) | −79.4017 | + | 41.5108i | −0.407188 | + | 0.212876i | ||||
\(196\) | −10.9386 | − | 10.8103i | −0.0558093 | − | 0.0551548i | ||||
\(197\) | −94.4283 | − | 94.4283i | −0.479331 | − | 0.479331i | 0.425586 | − | 0.904918i | \(-0.360068\pi\) |
−0.904918 | + | 0.425586i | \(0.860068\pi\) | |||||||
\(198\) | 85.0165 | − | 197.578i | 0.429376 | − | 0.997871i | ||||
\(199\) | 185.280 | 0.931058 | 0.465529 | − | 0.885033i | \(-0.345864\pi\) | ||||
0.465529 | + | 0.885033i | \(0.345864\pi\) | |||||||
\(200\) | 196.430 | + | 37.6189i | 0.982151 | + | 0.188094i | ||||
\(201\) | 108.880 | − | 256.812i | 0.541692 | − | 1.27767i | ||||
\(202\) | −11.5672 | − | 27.6943i | −0.0572632 | − | 0.137101i | ||||
\(203\) | 187.056 | + | 187.056i | 0.921459 | + | 0.921459i | ||||
\(204\) | −60.3867 | − | 146.781i | −0.296013 | − | 0.719516i | ||||
\(205\) | 85.9433 | − | 104.539i | 0.419235 | − | 0.509945i | ||||
\(206\) | −10.7917 | + | 26.2723i | −0.0523868 | + | 0.127535i | ||||
\(207\) | −147.662 | − | 2.45061i | −0.713342 | − | 0.0118387i | ||||
\(208\) | −66.7771 | + | 68.3714i | −0.321044 | + | 0.328709i | ||||
\(209\) | −17.7868 | −0.0851042 | ||||||||
\(210\) | 128.854 | − | 155.037i | 0.613591 | − | 0.738269i | ||||
\(211\) | 270.850i | 1.28365i | 0.766850 | + | 0.641826i | \(0.221823\pi\) | ||||
−0.766850 | + | 0.641826i | \(0.778177\pi\) | |||||||
\(212\) | 0.488243 | + | 82.7770i | 0.00230303 | + | 0.390458i | ||||
\(213\) | 16.0645 | + | 39.7120i | 0.0754203 | + | 0.186441i | ||||
\(214\) | −16.5530 | + | 40.2982i | −0.0773504 | + | 0.188309i | ||||
\(215\) | −62.2612 | + | 6.07816i | −0.289587 | + | 0.0282705i | ||||
\(216\) | −155.166 | + | 150.265i | −0.718360 | + | 0.695671i | ||||
\(217\) | −207.417 | + | 207.417i | −0.955840 | + | 0.955840i | ||||
\(218\) | 12.0985 | + | 28.9666i | 0.0554979 | + | 0.132874i | ||||
\(219\) | −26.6464 | + | 62.8500i | −0.121673 | + | 0.286986i | ||||
\(220\) | 237.720 | − | 24.6234i | 1.08055 | − | 0.111925i | ||||
\(221\) | 79.0043i | 0.357485i | ||||||||
\(222\) | 417.210 | + | 2.23134i | 1.87932 | + | 0.0100511i | ||||
\(223\) | −173.313 | + | 173.313i | −0.777190 | + | 0.777190i | −0.979352 | − | 0.202162i | \(-0.935203\pi\) |
0.202162 | + | 0.979352i | \(0.435203\pi\) | |||||||
\(224\) | 79.3511 | − | 199.856i | 0.354246 | − | 0.892214i | ||||
\(225\) | −184.760 | − | 128.408i | −0.821156 | − | 0.570704i | ||||
\(226\) | 35.8117 | − | 87.1835i | 0.158459 | − | 0.385768i | ||||
\(227\) | 192.265 | − | 192.265i | 0.846983 | − | 0.846983i | −0.142773 | − | 0.989755i | \(-0.545602\pi\) |
0.989755 | + | 0.142773i | \(0.0456019\pi\) | |||||||
\(228\) | 16.4857 | + | 6.87497i | 0.0723056 | + | 0.0301534i | ||||
\(229\) | 74.6665i | 0.326054i | 0.986622 | + | 0.163027i | \(0.0521258\pi\) | ||||
−0.986622 | + | 0.163027i | \(0.947874\pi\) | |||||||
\(230\) | −77.6542 | − | 144.554i | −0.337627 | − | 0.628494i | ||||
\(231\) | 94.0303 | − | 221.786i | 0.407058 | − | 0.960113i | ||||
\(232\) | 117.942 | − | 292.018i | 0.508371 | − | 1.25870i | ||||
\(233\) | −148.778 | + | 148.778i | −0.638532 | + | 0.638532i | −0.950193 | − | 0.311661i | \(-0.899115\pi\) |
0.311661 | + | 0.950193i | \(0.399115\pi\) | |||||||
\(234\) | 99.8853 | − | 39.7859i | 0.426860 | − | 0.170025i | ||||
\(235\) | −105.571 | + | 10.3062i | −0.449238 | + | 0.0438562i | ||||
\(236\) | 175.614 | + | 173.555i | 0.744128 | + | 0.735402i | ||||
\(237\) | 10.4932 | + | 25.9396i | 0.0442753 | + | 0.109450i | ||||
\(238\) | −68.5089 | − | 164.025i | −0.287853 | − | 0.689182i | ||||
\(239\) | 214.211i | 0.896278i | 0.893964 | + | 0.448139i | \(0.147913\pi\) | ||||
−0.893964 | + | 0.448139i | \(0.852087\pi\) | |||||||
\(240\) | −229.849 | − | 69.0619i | −0.957703 | − | 0.287758i | ||||
\(241\) | 167.934 | 0.696821 | 0.348411 | − | 0.937342i | \(-0.386722\pi\) | ||||
0.348411 | + | 0.937342i | \(0.386722\pi\) | |||||||
\(242\) | 40.2195 | − | 16.7986i | 0.166196 | − | 0.0694157i | ||||
\(243\) | 228.166 | − | 83.6009i | 0.938956 | − | 0.344037i | ||||
\(244\) | −237.872 | + | 240.695i | −0.974885 | + | 0.986453i | ||||
\(245\) | −12.2083 | + | 14.8498i | −0.0498296 | + | 0.0606113i | ||||
\(246\) | −115.445 | + | 114.217i | −0.469289 | + | 0.464296i | ||||
\(247\) | −6.28687 | − | 6.28687i | −0.0254529 | − | 0.0254529i | ||||
\(248\) | 323.805 | + | 130.780i | 1.30566 | + | 0.527339i | ||||
\(249\) | −21.1147 | + | 49.8027i | −0.0847982 | + | 0.200011i | ||||
\(250\) | 24.4122 | − | 248.805i | 0.0976487 | − | 0.995221i | ||||
\(251\) | −166.809 | −0.664578 | −0.332289 | − | 0.943178i | \(-0.607821\pi\) | ||||
−0.332289 | + | 0.943178i | \(0.607821\pi\) | |||||||
\(252\) | −172.877 | + | 169.218i | −0.686020 | + | 0.671499i | ||||
\(253\) | −138.651 | − | 138.651i | −0.548029 | − | 0.548029i | ||||
\(254\) | 31.3516 | + | 12.8781i | 0.123432 | + | 0.0507011i | ||||
\(255\) | −175.820 | + | 91.9177i | −0.689489 | + | 0.360461i | ||||
\(256\) | −255.929 | + | 6.03922i | −0.999722 | + | 0.0235907i | ||||
\(257\) | −16.3199 | − | 16.3199i | −0.0635014 | − | 0.0635014i | 0.674643 | − | 0.738144i | \(-0.264298\pi\) |
−0.738144 | + | 0.674643i | \(0.764298\pi\) | |||||||
\(258\) | 75.0676 | + | 0.401479i | 0.290960 | + | 0.00155612i | ||||
\(259\) | 467.265 | 1.80411 | ||||||||
\(260\) | 92.7274 | + | 75.3208i | 0.356644 | + | 0.289695i | ||||
\(261\) | −254.653 | + | 246.339i | −0.975683 | + | 0.943827i | ||||
\(262\) | −422.277 | + | 176.374i | −1.61175 | + | 0.673183i | ||||
\(263\) | −121.290 | − | 121.290i | −0.461180 | − | 0.461180i | 0.437862 | − | 0.899042i | \(-0.355736\pi\) |
−0.899042 | + | 0.437862i | \(0.855736\pi\) | |||||||
\(264\) | −286.791 | + | 0.157746i | −1.08633 | + | 0.000597521i | ||||
\(265\) | 102.984 | − | 10.0536i | 0.388617 | − | 0.0379382i | ||||
\(266\) | 18.5042 | + | 7.60085i | 0.0695648 | + | 0.0285746i | ||||
\(267\) | −58.9892 | − | 145.823i | −0.220933 | − | 0.546154i | ||||
\(268\) | −371.913 | + | 2.19365i | −1.38773 | + | 0.00818526i | ||||
\(269\) | 174.671 | 0.649336 | 0.324668 | − | 0.945828i | \(-0.394747\pi\) | ||||
0.324668 | + | 0.945828i | \(0.394747\pi\) | |||||||
\(270\) | 204.753 | + | 176.000i | 0.758345 | + | 0.651853i | ||||
\(271\) | − | 306.881i | − | 1.13240i | −0.824268 | − | 0.566200i | \(-0.808413\pi\) | ||
0.824268 | − | 0.566200i | \(-0.191587\pi\) | |||||||
\(272\) | −147.865 | + | 151.395i | −0.543621 | + | 0.556600i | ||||
\(273\) | 111.628 | − | 45.1563i | 0.408893 | − | 0.165408i | ||||
\(274\) | 406.796 | + | 167.096i | 1.48466 | + | 0.609841i | ||||
\(275\) | −57.7775 | − | 293.100i | −0.210100 | − | 1.06582i | ||||
\(276\) | 74.9173 | + | 182.101i | 0.271439 | + | 0.659786i | ||||
\(277\) | 28.5949 | − | 28.5949i | 0.103231 | − | 0.103231i | −0.653605 | − | 0.756836i | \(-0.726744\pi\) |
0.756836 | + | 0.653605i | \(0.226744\pi\) | |||||||
\(278\) | −406.356 | + | 169.724i | −1.46171 | + | 0.610517i | ||||
\(279\) | −273.153 | − | 282.372i | −0.979042 | − | 1.01209i | ||||
\(280\) | −257.832 | − | 75.9687i | −0.920827 | − | 0.271317i | ||||
\(281\) | − | 42.3210i | − | 0.150609i | −0.997161 | − | 0.0753043i | \(-0.976007\pi\) | ||
0.997161 | − | 0.0753043i | \(-0.0239928\pi\) | |||||||
\(282\) | 127.286 | + | 0.680754i | 0.451368 | + | 0.00241402i | ||||
\(283\) | −341.834 | + | 341.834i | −1.20789 | + | 1.20789i | −0.236185 | + | 0.971708i | \(0.575897\pi\) |
−0.971708 | + | 0.236185i | \(0.924103\pi\) | |||||||
\(284\) | 40.1493 | − | 40.6257i | 0.141371 | − | 0.143048i | ||||
\(285\) | 6.67662 | − | 21.3056i | 0.0234267 | − | 0.0747564i | ||||
\(286\) | 132.049 | + | 54.2407i | 0.461709 | + | 0.189653i | ||||
\(287\) | −128.608 | + | 128.608i | −0.448111 | + | 0.448111i | ||||
\(288\) | 265.873 | + | 110.705i | 0.923170 | + | 0.384391i | ||||
\(289\) | − | 114.060i | − | 0.394672i | ||||||
\(290\) | −376.957 | − | 113.489i | −1.29985 | − | 0.391342i | ||||
\(291\) | 26.9851 | + | 11.4408i | 0.0927322 | + | 0.0393155i | ||||
\(292\) | 91.0189 | − | 0.536856i | 0.311708 | − | 0.00183855i | ||||
\(293\) | 252.918 | − | 252.918i | 0.863203 | − | 0.863203i | −0.128506 | − | 0.991709i | \(-0.541018\pi\) |
0.991709 | + | 0.128506i | \(0.0410181\pi\) | |||||||
\(294\) | 16.3990 | − | 16.2245i | 0.0557789 | − | 0.0551854i | ||||
\(295\) | 195.998 | − | 238.406i | 0.664400 | − | 0.808156i | ||||
\(296\) | −217.421 | − | 512.039i | −0.734529 | − | 1.72986i | ||||
\(297\) | 294.915 | + | 130.850i | 0.992979 | + | 0.440571i | ||||
\(298\) | 44.8351 | − | 18.7264i | 0.150453 | − | 0.0628403i | ||||
\(299\) | − | 98.0148i | − | 0.327809i | ||||||
\(300\) | −59.7384 | + | 293.992i | −0.199128 | + | 0.979974i | ||||
\(301\) | 84.0739 | 0.279315 | ||||||||
\(302\) | −93.0877 | − | 222.872i | −0.308237 | − | 0.737987i | ||||
\(303\) | 41.7340 | − | 16.8825i | 0.137736 | − | 0.0557177i | ||||
\(304\) | −0.280934 | − | 23.8140i | −0.000924125 | − | 0.0783357i | ||||
\(305\) | 326.756 | + | 268.632i | 1.07133 | + | 0.880761i | ||||
\(306\) | 221.177 | − | 88.0982i | 0.722800 | − | 0.287903i | ||||
\(307\) | 281.593 | + | 281.593i | 0.917240 | + | 0.917240i | 0.996828 | − | 0.0795878i | \(-0.0253604\pi\) |
−0.0795878 | + | 0.996828i | \(0.525360\pi\) | |||||||
\(308\) | −321.189 | + | 1.89447i | −1.04282 | + | 0.00615086i | ||||
\(309\) | −39.2239 | − | 16.6297i | −0.126938 | − | 0.0538177i | ||||
\(310\) | 125.842 | − | 417.989i | 0.405943 | − | 1.34835i | ||||
\(311\) | 318.688 | 1.02472 | 0.512360 | − | 0.858771i | \(-0.328771\pi\) | ||||
0.512360 | + | 0.858771i | \(0.328771\pi\) | |||||||
\(312\) | −101.424 | − | 101.313i | −0.325077 | − | 0.324720i | ||||
\(313\) | −165.571 | − | 165.571i | −0.528979 | − | 0.528979i | 0.391289 | − | 0.920268i | \(-0.372029\pi\) |
−0.920268 | + | 0.391289i | \(0.872029\pi\) | |||||||
\(314\) | −82.8859 | + | 201.785i | −0.263968 | + | 0.642629i | ||||
\(315\) | 230.366 | + | 195.884i | 0.731322 | + | 0.621855i | ||||
\(316\) | 26.2253 | − | 26.5365i | 0.0829914 | − | 0.0839762i | ||||
\(317\) | −6.74356 | − | 6.74356i | −0.0212731 | − | 0.0212731i | 0.696390 | − | 0.717663i | \(-0.254788\pi\) |
−0.717663 | + | 0.696390i | \(0.754788\pi\) | |||||||
\(318\) | −124.166 | − | 0.664069i | −0.390459 | − | 0.00208827i | ||||
\(319\) | −470.422 | −1.47468 | ||||||||
\(320\) | 36.7221 | + | 317.886i | 0.114756 | + | 0.993394i | ||||
\(321\) | −60.1642 | − | 25.5077i | −0.187427 | − | 0.0794633i | ||||
\(322\) | 84.9940 | + | 203.494i | 0.263956 | + | 0.631969i | ||||
\(323\) | −13.9211 | − | 13.9211i | −0.0430993 | − | 0.0430993i | ||||
\(324\) | −222.766 | − | 235.269i | −0.687548 | − | 0.726139i | ||||
\(325\) | 83.1765 | − | 124.020i | 0.255928 | − | 0.381601i | ||||
\(326\) | 193.189 | − | 470.319i | 0.592605 | − | 1.44270i | ||||
\(327\) | −43.6512 | + | 17.6580i | −0.133490 | + | 0.0540001i | ||||
\(328\) | 200.773 | + | 81.0894i | 0.612113 | + | 0.247224i | ||||
\(329\) | 142.557 | 0.433304 | ||||||||
\(330\) | 32.9226 | + | 356.974i | 0.0997656 | + | 1.08174i | ||||
\(331\) | 278.406i | 0.841105i | 0.907268 | + | 0.420553i | \(0.138164\pi\) | ||||
−0.907268 | + | 0.420553i | \(0.861836\pi\) | |||||||
\(332\) | 72.1238 | − | 0.425407i | 0.217240 | − | 0.00128135i | ||||
\(333\) | −10.3848 | + | 625.737i | −0.0311856 | + | 1.87909i | ||||
\(334\) | 61.0711 | − | 148.677i | 0.182848 | − | 0.445142i | ||||
\(335\) | 45.1704 | + | 462.700i | 0.134837 | + | 1.38119i | ||||
\(336\) | 298.426 | + | 122.391i | 0.888173 | + | 0.364258i | ||||
\(337\) | 282.964 | − | 282.964i | 0.839656 | − | 0.839656i | −0.149157 | − | 0.988813i | \(-0.547656\pi\) |
0.988813 | + | 0.149157i | \(0.0476560\pi\) | |||||||
\(338\) | −102.766 | − | 246.043i | −0.304040 | − | 0.727938i | ||||
\(339\) | 130.163 | + | 55.1849i | 0.383961 | + | 0.162787i | ||||
\(340\) | 205.327 | + | 166.783i | 0.603903 | + | 0.490539i | ||||
\(341\) | − | 521.627i | − | 1.52970i | ||||||
\(342\) | −10.5899 | + | 24.6110i | −0.0309647 | + | 0.0719619i | ||||
\(343\) | 251.097 | − | 251.097i | 0.732060 | − | 0.732060i | ||||
\(344\) | −39.1200 | − | 92.1300i | −0.113721 | − | 0.267820i | ||||
\(345\) | 218.127 | − | 114.035i | 0.632251 | − | 0.330538i | ||||
\(346\) | 140.510 | − | 342.071i | 0.406098 | − | 0.988644i | ||||
\(347\) | 36.0256 | − | 36.0256i | 0.103820 | − | 0.103820i | −0.653289 | − | 0.757109i | \(-0.726611\pi\) |
0.757109 | + | 0.653289i | \(0.226611\pi\) | |||||||
\(348\) | 436.010 | + | 181.828i | 1.25290 | + | 0.522495i | ||||
\(349\) | 382.830i | 1.09693i | 0.836173 | + | 0.548467i | \(0.184788\pi\) | ||||
−0.836173 | + | 0.548467i | \(0.815212\pi\) | |||||||
\(350\) | −65.1427 | + | 329.613i | −0.186122 | + | 0.941750i | ||||
\(351\) | 57.9901 | + | 150.490i | 0.165214 | + | 0.428745i | ||||
\(352\) | 151.527 | + | 351.084i | 0.430474 | + | 0.997398i | ||||
\(353\) | −215.726 | + | 215.726i | −0.611121 | + | 0.611121i | −0.943238 | − | 0.332117i | \(-0.892237\pi\) |
0.332117 | + | 0.943238i | \(0.392237\pi\) | |||||||
\(354\) | −263.278 | + | 260.477i | −0.743724 | + | 0.735811i | ||||
\(355\) | −55.1517 | − | 45.3412i | −0.155357 | − | 0.127722i | ||||
\(356\) | −147.429 | + | 149.178i | −0.414126 | + | 0.419041i | ||||
\(357\) | 247.178 | − | 99.9899i | 0.692375 | − | 0.280084i | ||||
\(358\) | 164.900 | + | 394.807i | 0.460615 | + | 1.10281i | ||||
\(359\) | − | 473.986i | − | 1.32030i | −0.751136 | − | 0.660148i | \(-0.770494\pi\) | ||
0.751136 | − | 0.660148i | \(-0.229506\pi\) | |||||||
\(360\) | 107.464 | − | 343.586i | 0.298510 | − | 0.954406i | ||||
\(361\) | −358.784 | −0.993863 | ||||||||
\(362\) | 286.798 | − | 119.788i | 0.792260 | − | 0.330905i | ||||
\(363\) | 24.5178 | + | 60.6088i | 0.0675422 | + | 0.166966i | ||||
\(364\) | −114.196 | − | 112.857i | −0.313726 | − | 0.310047i | ||||
\(365\) | −11.0546 | − | 113.237i | −0.0302866 | − | 0.310239i | ||||
\(366\) | −357.006 | − | 360.846i | −0.975427 | − | 0.985917i | ||||
\(367\) | −249.323 | − | 249.323i | −0.679354 | − | 0.679354i | 0.280500 | − | 0.959854i | \(-0.409500\pi\) |
−0.959854 | + | 0.280500i | \(0.909500\pi\) | |||||||
\(368\) | 183.445 | − | 187.825i | 0.498492 | − | 0.510394i | ||||
\(369\) | −169.367 | − | 175.083i | −0.458989 | − | 0.474481i | ||||
\(370\) | −612.566 | + | 329.071i | −1.65558 | + | 0.889380i | ||||
\(371\) | −139.063 | −0.374833 | ||||||||
\(372\) | −201.620 | + | 483.470i | −0.541989 | + | 1.29965i | ||||
\(373\) | −108.084 | − | 108.084i | −0.289769 | − | 0.289769i | 0.547220 | − | 0.836989i | \(-0.315686\pi\) |
−0.836989 | + | 0.547220i | \(0.815686\pi\) | |||||||
\(374\) | 292.396 | + | 120.105i | 0.781808 | + | 0.321138i | ||||
\(375\) | 372.772 | + | 40.8131i | 0.994060 | + | 0.108835i | ||||
\(376\) | −66.3324 | − | 156.217i | −0.176416 | − | 0.415471i | ||||
\(377\) | −166.274 | − | 166.274i | −0.441045 | − | 0.441045i | ||||
\(378\) | −250.894 | − | 262.154i | −0.663742 | − | 0.693529i | ||||
\(379\) | −60.0656 | −0.158484 | −0.0792422 | − | 0.996855i | \(-0.525250\pi\) | ||||
−0.0792422 | + | 0.996855i | \(0.525250\pi\) | |||||||
\(380\) | −29.6112 | + | 3.06717i | −0.0779242 | + | 0.00807150i | ||||
\(381\) | −19.8448 | + | 46.8073i | −0.0520861 | + | 0.122854i | ||||
\(382\) | −189.303 | + | 79.0669i | −0.495559 | + | 0.206981i | ||||
\(383\) | −375.372 | − | 375.372i | −0.980084 | − | 0.980084i | 0.0197220 | − | 0.999806i | \(-0.493722\pi\) |
−0.999806 | + | 0.0197220i | \(0.993722\pi\) | |||||||
\(384\) | −4.74093 | − | 383.971i | −0.0123462 | − | 0.999924i | ||||
\(385\) | 39.0097 | + | 399.593i | 0.101324 | + | 1.03790i | ||||
\(386\) | 361.607 | + | 148.535i | 0.936806 | + | 0.384805i | ||||
\(387\) | −1.86852 | + | 112.587i | −0.00482821 | + | 0.290924i | ||||
\(388\) | −0.230503 | − | 39.0796i | −0.000594079 | − | 0.100721i | ||||
\(389\) | −464.374 | −1.19376 | −0.596882 | − | 0.802329i | \(-0.703594\pi\) | ||||
−0.596882 | + | 0.802329i | \(0.703594\pi\) | |||||||
\(390\) | −114.538 | + | 137.812i | −0.293688 | + | 0.353364i | ||||
\(391\) | − | 217.035i | − | 0.555076i | ||||||
\(392\) | −28.5199 | − | 11.5188i | −0.0727548 | − | 0.0293846i | ||||
\(393\) | −257.421 | − | 636.351i | −0.655014 | − | 1.61921i | ||||
\(394\) | −247.053 | − | 101.480i | −0.627039 | − | 0.257564i | ||||
\(395\) | −36.0247 | − | 29.6166i | −0.0912018 | − | 0.0749787i | ||||
\(396\) | 4.60135 | − | 430.162i | 0.0116196 | − | 1.08627i | ||||
\(397\) | −125.935 | + | 125.935i | −0.317215 | + | 0.317215i | −0.847697 | − | 0.530481i | \(-0.822011\pi\) |
0.530481 | + | 0.847697i | \(0.322011\pi\) | |||||||
\(398\) | 341.934 | − | 142.817i | 0.859131 | − | 0.358836i | ||||
\(399\) | −11.7127 | + | 27.6264i | −0.0293551 | + | 0.0692390i | ||||
\(400\) | 391.508 | − | 81.9855i | 0.978770 | − | 0.204964i | ||||
\(401\) | 508.065i | 1.26699i | 0.773745 | + | 0.633497i | \(0.218381\pi\) | ||||
−0.773745 | + | 0.633497i | \(0.781619\pi\) | |||||||
\(402\) | 2.98363 | − | 557.871i | 0.00742196 | − | 1.38774i | ||||
\(403\) | 184.373 | − | 184.373i | 0.457501 | − | 0.457501i | ||||
\(404\) | −42.6943 | − | 42.1936i | −0.105679 | − | 0.104440i | ||||
\(405\) | −267.438 | + | 304.141i | −0.660341 | + | 0.750966i | ||||
\(406\) | 489.397 | + | 201.026i | 1.20541 | + | 0.495138i | ||||
\(407\) | −587.555 | + | 587.555i | −1.44362 | + | 1.44362i | ||||
\(408\) | −224.584 | − | 224.337i | −0.550451 | − | 0.549846i | ||||
\(409\) | 583.921i | 1.42768i | 0.700309 | + | 0.713840i | \(0.253046\pi\) | ||||
−0.700309 | + | 0.713840i | \(0.746954\pi\) | |||||||
\(410\) | 78.0279 | − | 259.172i | 0.190312 | − | 0.632126i | ||||
\(411\) | −257.491 | + | 607.336i | −0.626499 | + | 1.47770i | ||||
\(412\) | 0.335045 | + | 56.8037i | 0.000813215 | + | 0.137873i | ||||
\(413\) | −293.297 | + | 293.297i | −0.710162 | + | 0.710162i | ||||
\(414\) | −274.398 | + | 109.297i | −0.662796 | + | 0.264002i | ||||
\(415\) | −8.75973 | − | 89.7297i | −0.0211078 | − | 0.216216i | ||||
\(416\) | −70.5351 | + | 177.652i | −0.169556 | + | 0.427047i | ||||
\(417\) | −247.715 | − | 612.358i | −0.594040 | − | 1.46848i | ||||
\(418\) | −32.8254 | + | 13.7103i | −0.0785297 | + | 0.0327997i | ||||
\(419\) | 283.902i | 0.677571i | 0.940864 | + | 0.338786i | \(0.110016\pi\) | ||||
−0.940864 | + | 0.338786i | \(0.889984\pi\) | |||||||
\(420\) | 118.295 | − | 385.441i | 0.281656 | − | 0.917717i | ||||
\(421\) | −468.185 | −1.11208 | −0.556039 | − | 0.831156i | \(-0.687679\pi\) | ||||
−0.556039 | + | 0.831156i | \(0.687679\pi\) | |||||||
\(422\) | 208.775 | + | 499.853i | 0.494728 | + | 1.18449i | ||||
\(423\) | −3.16828 | + | 190.905i | −0.00749003 | + | 0.451312i | ||||
\(424\) | 64.7066 | + | 152.388i | 0.152610 | + | 0.359406i | ||||
\(425\) | 184.178 | − | 274.619i | 0.433361 | − | 0.646163i | ||||
\(426\) | 60.2575 | + | 60.9055i | 0.141449 | + | 0.142971i | ||||
\(427\) | −401.989 | − | 401.989i | −0.941425 | − | 0.941425i | ||||
\(428\) | 0.513914 | + | 87.1293i | 0.00120073 | + | 0.203573i | ||||
\(429\) | −83.5834 | + | 197.145i | −0.194833 | + | 0.459546i | ||||
\(430\) | −110.218 | + | 59.2090i | −0.256320 | + | 0.137695i | ||||
\(431\) | 849.775 | 1.97164 | 0.985818 | − | 0.167821i | \(-0.0536730\pi\) | ||||
0.985818 | + | 0.167821i | \(0.0536730\pi\) | |||||||
\(432\) | −170.532 | + | 396.917i | −0.394749 | + | 0.918789i | ||||
\(433\) | 153.887 | + | 153.887i | 0.355398 | + | 0.355398i | 0.862113 | − | 0.506715i | \(-0.169141\pi\) |
−0.506715 | + | 0.862113i | \(0.669141\pi\) | |||||||
\(434\) | −222.907 | + | 542.667i | −0.513612 | + | 1.25039i | ||||
\(435\) | 176.582 | − | 563.486i | 0.405936 | − | 1.29537i | ||||
\(436\) | 44.6556 | + | 44.1319i | 0.102421 | + | 0.101220i | ||||
\(437\) | 17.2708 | + | 17.2708i | 0.0395214 | + | 0.0395214i | ||||
\(438\) | −0.730188 | + | 136.529i | −0.00166710 | + | 0.311709i | ||||
\(439\) | 55.5775 | 0.126600 | 0.0633001 | − | 0.997995i | \(-0.479837\pi\) | ||||
0.0633001 | + | 0.997995i | \(0.479837\pi\) | |||||||
\(440\) | 419.732 | − | 228.680i | 0.953936 | − | 0.519728i | ||||
\(441\) | 24.0586 | + | 24.8706i | 0.0545547 | + | 0.0563960i | ||||
\(442\) | 60.8975 | + | 145.802i | 0.137777 | + | 0.329868i | ||||
\(443\) | 543.074 | + | 543.074i | 1.22590 | + | 1.22590i | 0.965501 | + | 0.260398i | \(0.0838539\pi\) |
0.260398 | + | 0.965501i | \(0.416146\pi\) | |||||||
\(444\) | 771.678 | − | 317.473i | 1.73801 | − | 0.715028i | ||||
\(445\) | 202.518 | + | 166.494i | 0.455096 | + | 0.374143i | ||||
\(446\) | −186.257 | + | 453.441i | −0.417616 | + | 1.01668i | ||||
\(447\) | 27.3315 | + | 67.5643i | 0.0611443 | + | 0.151150i | ||||
\(448\) | −7.60946 | − | 429.998i | −0.0169854 | − | 0.959816i | ||||
\(449\) | −36.3462 | −0.0809493 | −0.0404746 | − | 0.999181i | \(-0.512887\pi\) | ||||
−0.0404746 | + | 0.999181i | \(0.512887\pi\) | |||||||
\(450\) | −439.952 | − | 94.5613i | −0.977672 | − | 0.210136i | ||||
\(451\) | − | 323.432i | − | 0.717144i | ||||||
\(452\) | −1.11183 | − | 188.501i | −0.00245981 | − | 0.417037i | ||||
\(453\) | 335.857 | − | 135.863i | 0.741407 | − | 0.299918i | ||||
\(454\) | 206.624 | − | 503.024i | 0.455118 | − | 1.10798i | ||||
\(455\) | −127.451 | + | 155.028i | −0.280112 | + | 0.340720i | ||||
\(456\) | 35.7235 | − | 0.0196493i | 0.0783411 | − | 4.30905e-5i | ||||
\(457\) | 465.155 | − | 465.155i | 1.01784 | − | 1.01784i | 0.0180061 | − | 0.999838i | \(-0.494268\pi\) |
0.999838 | − | 0.0180061i | \(-0.00573181\pi\) | |||||||
\(458\) | 57.5539 | + | 137.797i | 0.125663 | + | 0.300866i | ||||
\(459\) | 128.408 | + | 333.230i | 0.279756 | + | 0.725992i | ||||
\(460\) | −254.734 | − | 206.916i | −0.553770 | − | 0.449817i | ||||
\(461\) | − | 69.6948i | − | 0.151182i | −0.997139 | − | 0.0755909i | \(-0.975916\pi\) | ||
0.997139 | − | 0.0755909i | \(-0.0240843\pi\) | |||||||
\(462\) | 2.57670 | − | 481.785i | 0.00557727 | − | 1.04282i | ||||
\(463\) | −453.386 | + | 453.386i | −0.979236 | + | 0.979236i | −0.999789 | − | 0.0205531i | \(-0.993457\pi\) |
0.0205531 | + | 0.999789i | \(0.493457\pi\) | |||||||
\(464\) | −7.43010 | − | 629.830i | −0.0160131 | − | 1.35739i | ||||
\(465\) | 624.821 | + | 195.803i | 1.34370 | + | 0.421082i | ||||
\(466\) | −159.889 | + | 389.249i | −0.343109 | + | 0.835298i | ||||
\(467\) | 434.371 | − | 434.371i | 0.930130 | − | 0.930130i | −0.0675833 | − | 0.997714i | \(-0.521529\pi\) |
0.997714 | + | 0.0675833i | \(0.0215288\pi\) | |||||||
\(468\) | 153.670 | − | 150.418i | 0.328355 | − | 0.321405i | ||||
\(469\) | − | 624.802i | − | 1.33220i | ||||||
\(470\) | −186.887 | + | 100.396i | −0.397631 | + | 0.213608i | ||||
\(471\) | −301.261 | − | 127.725i | −0.639619 | − | 0.271178i | ||||
\(472\) | 457.873 | + | 184.929i | 0.970071 | + | 0.391798i | ||||
\(473\) | −105.717 | + | 105.717i | −0.223504 | + | 0.223504i | ||||
\(474\) | 39.3598 | + | 39.7831i | 0.0830376 | + | 0.0839305i | ||||
\(475\) | 7.19695 | + | 36.5094i | 0.0151515 | + | 0.0768620i | ||||
\(476\) | −252.866 | − | 249.900i | −0.531230 | − | 0.525000i | ||||
\(477\) | 3.09063 | − | 186.226i | 0.00647930 | − | 0.390411i | ||||
\(478\) | 165.116 | + | 395.324i | 0.345431 | + | 0.827038i | ||||
\(479\) | − | 307.039i | − | 0.641000i | −0.947248 | − | 0.320500i | \(-0.896149\pi\) | ||
0.947248 | − | 0.320500i | \(-0.103851\pi\) | |||||||
\(480\) | −477.418 | + | 49.7171i | −0.994621 | + | 0.103577i | ||||
\(481\) | −415.351 | −0.863516 | ||||||||
\(482\) | 309.921 | − | 129.446i | 0.642990 | − | 0.268559i | ||||
\(483\) | −306.656 | + | 124.050i | −0.634898 | + | 0.256832i | ||||
\(484\) | 61.2763 | − | 62.0034i | 0.126604 | − | 0.128106i | ||||
\(485\) | −48.6192 | + | 4.74637i | −0.100246 | + | 0.00978634i | ||||
\(486\) | 356.639 | − | 330.158i | 0.733825 | − | 0.679338i | ||||
\(487\) | 250.434 | + | 250.434i | 0.514237 | + | 0.514237i | 0.915822 | − | 0.401585i | \(-0.131540\pi\) |
−0.401585 | + | 0.915822i | \(0.631540\pi\) | |||||||
\(488\) | −253.461 | + | 627.555i | −0.519386 | + | 1.28597i | ||||
\(489\) | 702.174 | + | 297.700i | 1.43594 | + | 0.608793i | ||||
\(490\) | −11.0839 | + | 36.8154i | −0.0226202 | + | 0.0751335i | ||||
\(491\) | −291.754 | −0.594203 | −0.297102 | − | 0.954846i | \(-0.596020\pi\) | ||||
−0.297102 | + | 0.954846i | \(0.596020\pi\) | |||||||
\(492\) | −125.013 | + | 299.773i | −0.254092 | + | 0.609294i | ||||
\(493\) | −368.182 | − | 368.182i | −0.746819 | − | 0.746819i | ||||
\(494\) | −16.4484 | − | 6.75638i | −0.0332963 | − | 0.0136769i | ||||
\(495\) | −535.982 | + | 43.3590i | −1.08279 | + | 0.0875939i | ||||
\(496\) | 698.386 | − | 8.23886i | 1.40804 | − | 0.0166106i | ||||
\(497\) | 67.8498 | + | 67.8498i | 0.136519 | + | 0.136519i | ||||
\(498\) | −0.578605 | + | 108.186i | −0.00116186 | + | 0.217241i | ||||
\(499\) | 421.977 | 0.845646 | 0.422823 | − | 0.906212i | \(-0.361039\pi\) | ||||
0.422823 | + | 0.906212i | \(0.361039\pi\) | |||||||
\(500\) | −146.730 | − | 477.986i | −0.293459 | − | 0.955972i | ||||
\(501\) | 221.972 | + | 94.1089i | 0.443057 | + | 0.187842i | ||||
\(502\) | −307.845 | + | 128.579i | −0.613238 | + | 0.256133i | ||||
\(503\) | −288.062 | − | 288.062i | −0.572688 | − | 0.572688i | 0.360191 | − | 0.932879i | \(-0.382712\pi\) |
−0.932879 | + | 0.360191i | \(0.882712\pi\) | |||||||
\(504\) | −188.608 | + | 445.546i | −0.374223 | + | 0.884021i | ||||
\(505\) | −47.6498 | + | 57.9598i | −0.0943561 | + | 0.114772i | ||||
\(506\) | −362.755 | − | 149.006i | −0.716906 | − | 0.294478i | ||||
\(507\) | 370.775 | − | 149.988i | 0.731311 | − | 0.295834i | ||||
\(508\) | 67.7859 | − | 0.399821i | 0.133437 | − | 0.000787049i | ||||
\(509\) | 808.790 | 1.58898 | 0.794489 | − | 0.607278i | \(-0.207739\pi\) | ||||
0.794489 | + | 0.607278i | \(0.207739\pi\) | |||||||
\(510\) | −253.623 | + | 305.158i | −0.497300 | + | 0.598348i | ||||
\(511\) | 152.909i | 0.299235i | ||||||||
\(512\) | −467.660 | + | 208.418i | −0.913398 | + | 0.407067i | ||||
\(513\) | −36.7355 | − | 16.2990i | −0.0716091 | − | 0.0317720i | ||||
\(514\) | −42.6977 | − | 17.5386i | −0.0830695 | − | 0.0341219i | ||||
\(515\) | 70.6699 | − | 6.89904i | 0.137223 | − | 0.0133962i | ||||
\(516\) | 138.846 | − | 57.1221i | 0.269082 | − | 0.110702i | ||||
\(517\) | −179.256 | + | 179.256i | −0.346723 | + | 0.346723i | ||||
\(518\) | 862.335 | − | 360.174i | 1.66474 | − | 0.695316i | ||||
\(519\) | 510.704 | + | 216.522i | 0.984015 | + | 0.417191i | ||||
\(520\) | 229.186 | + | 67.5285i | 0.440743 | + | 0.129863i | ||||
\(521\) | 105.970i | 0.203397i | 0.994815 | + | 0.101699i | \(0.0324277\pi\) | ||||
−0.994815 | + | 0.101699i | \(0.967572\pi\) | |||||||
\(522\) | −280.080 | + | 650.907i | −0.536552 | + | 1.24695i | ||||
\(523\) | 229.588 | − | 229.588i | 0.438982 | − | 0.438982i | −0.452687 | − | 0.891669i | \(-0.649535\pi\) |
0.891669 | + | 0.452687i | \(0.149535\pi\) | |||||||
\(524\) | −643.359 | + | 650.994i | −1.22778 | + | 1.24235i | ||||
\(525\) | −493.289 | − | 103.268i | −0.939598 | − | 0.196701i | ||||
\(526\) | −317.332 | − | 130.348i | −0.603294 | − | 0.247810i | ||||
\(527\) | 408.258 | − | 408.258i | 0.774684 | − | 0.774684i | ||||
\(528\) | −529.149 | + | 221.353i | −1.00218 | + | 0.419229i | ||||
\(529\) | − | 259.741i | − | 0.491004i | ||||||
\(530\) | 182.306 | − | 97.9349i | 0.343974 | − | 0.184783i | ||||
\(531\) | −386.250 | − | 399.286i | −0.727400 | − | 0.751952i | ||||
\(532\) | 40.0083 | − | 0.235980i | 0.0752035 | − | 0.000443572i | ||||
\(533\) | 114.319 | − | 114.319i | 0.214483 | − | 0.214483i | ||||
\(534\) | −221.267 | − | 223.646i | −0.414357 | − | 0.418813i | ||||
\(535\) | 108.398 | − | 10.5822i | 0.202614 | − | 0.0197798i | ||||
\(536\) | −684.672 | + | 290.724i | −1.27737 | + | 0.542395i | ||||
\(537\) | −594.955 | + | 240.675i | −1.10792 | + | 0.448184i | ||||
\(538\) | 322.355 | − | 134.639i | 0.599173 | − | 0.250258i | ||||
\(539\) | 45.9436i | 0.0852385i | ||||||||
\(540\) | 513.534 | + | 166.981i | 0.950989 | + | 0.309225i | ||||
\(541\) | 1053.67 | 1.94763 | 0.973816 | − | 0.227338i | \(-0.0730021\pi\) | ||||
0.973816 | + | 0.227338i | \(0.0730021\pi\) | |||||||
\(542\) | −236.547 | − | 566.346i | −0.436434 | − | 1.04492i | ||||
\(543\) | 174.832 | + | 432.190i | 0.321975 | + | 0.795931i | ||||
\(544\) | −156.186 | + | 393.375i | −0.287107 | + | 0.723116i | ||||
\(545\) | 49.8388 | − | 60.6224i | 0.0914473 | − | 0.111234i | ||||
\(546\) | 171.201 | − | 169.380i | 0.313555 | − | 0.310219i | ||||
\(547\) | −559.528 | − | 559.528i | −1.02290 | − | 1.02290i | −0.999732 | − | 0.0231709i | \(-0.992624\pi\) |
−0.0231709 | − | 0.999732i | \(-0.507376\pi\) | |||||||
\(548\) | 879.539 | − | 5.18778i | 1.60500 | − | 0.00946675i | ||||
\(549\) | 547.256 | − | 529.388i | 0.996824 | − | 0.964278i | ||||
\(550\) | −332.553 | − | 496.379i | −0.604642 | − | 0.902507i | ||||
\(551\) | 58.5972 | 0.106347 | ||||||||
\(552\) | 278.625 | + | 278.319i | 0.504756 | + | 0.504201i | ||||
\(553\) | 44.3191 | + | 44.3191i | 0.0801430 | + | 0.0801430i | ||||
\(554\) | 30.7304 | − | 74.8131i | 0.0554701 | − | 0.135042i | ||||
\(555\) | −483.241 | − | 924.342i | −0.870705 | − | 1.66548i | ||||
\(556\) | −619.101 | + | 626.448i | −1.11349 | + | 1.12671i | ||||
\(557\) | 616.817 | + | 616.817i | 1.10739 | + | 1.10739i | 0.993492 | + | 0.113899i | \(0.0363340\pi\) |
0.113899 | + | 0.993492i | \(0.463666\pi\) | |||||||
\(558\) | −721.758 | − | 310.567i | −1.29347 | − | 0.556571i | ||||
\(559\) | −74.7332 | −0.133691 | ||||||||
\(560\) | −534.384 | + | 58.5400i | −0.954258 | + | 0.104536i | ||||
\(561\) | −185.079 | + | 436.541i | −0.329910 | + | 0.778147i | ||||
\(562\) | −32.6216 | − | 78.1032i | −0.0580455 | − | 0.138974i | ||||
\(563\) | −170.898 | − | 170.898i | −0.303550 | − | 0.303550i | 0.538851 | − | 0.842401i | \(-0.318858\pi\) |
−0.842401 | + | 0.538851i | \(0.818858\pi\) | |||||||
\(564\) | 235.430 | − | 96.8571i | 0.417428 | − | 0.171732i | ||||
\(565\) | −234.515 | + | 22.8942i | −0.415071 | + | 0.0405207i | ||||
\(566\) | −367.362 | + | 894.342i | −0.649050 | + | 1.58011i | ||||
\(567\) | 397.438 | − | 371.895i | 0.700949 | − | 0.655900i | ||||
\(568\) | 42.7805 | − | 105.922i | 0.0753177 | − | 0.186483i | ||||
\(569\) | −609.836 | −1.07177 | −0.535884 | − | 0.844291i | \(-0.680022\pi\) | ||||
−0.535884 | + | 0.844291i | \(0.680022\pi\) | |||||||
\(570\) | −4.10095 | − | 44.4657i | −0.00719464 | − | 0.0780100i | ||||
\(571\) | 478.800i | 0.838529i | 0.907864 | + | 0.419265i | \(0.137712\pi\) | ||||
−0.907864 | + | 0.419265i | \(0.862288\pi\) | |||||||
\(572\) | 285.504 | − | 1.68399i | 0.499134 | − | 0.00294404i | ||||
\(573\) | −115.399 | − | 285.271i | −0.201395 | − | 0.497855i | ||||
\(574\) | −138.212 | + | 336.478i | −0.240788 | + | 0.586198i | ||||
\(575\) | −228.496 | + | 340.700i | −0.397385 | + | 0.592521i | ||||
\(576\) | 576.000 | − | 0.633642i | 0.999999 | − | 0.00110007i | ||||
\(577\) | −162.684 | + | 162.684i | −0.281947 | + | 0.281947i | −0.833885 | − | 0.551938i | \(-0.813889\pi\) |
0.551938 | + | 0.833885i | \(0.313889\pi\) | |||||||
\(578\) | −87.9192 | − | 210.498i | −0.152109 | − | 0.364183i | ||||
\(579\) | −228.888 | + | 539.871i | −0.395316 | + | 0.932419i | ||||
\(580\) | −783.152 | + | 81.1200i | −1.35026 | + | 0.139862i | ||||
\(581\) | 121.166i | 0.208547i | ||||||||
\(582\) | 58.6195 | + | 0.313511i | 0.100721 | + | 0.000538679i | ||||
\(583\) | 174.862 | − | 174.862i | 0.299935 | − | 0.299935i | ||||
\(584\) | 167.561 | − | 71.1493i | 0.286919 | − | 0.121831i | ||||
\(585\) | −204.772 | − | 174.121i | −0.350038 | − | 0.297643i | ||||
\(586\) | 271.807 | − | 661.712i | 0.463834 | − | 1.12920i | ||||
\(587\) | −785.786 | + | 785.786i | −1.33865 | + | 1.33865i | −0.441275 | + | 0.897372i | \(0.645474\pi\) |
−0.897372 | + | 0.441275i | \(0.854526\pi\) | |||||||
\(588\) | 17.7582 | − | 42.5828i | 0.0302010 | − | 0.0724197i | ||||
\(589\) | 64.9754i | 0.110315i | ||||||||
\(590\) | 177.947 | − | 591.054i | 0.301604 | − | 1.00179i | ||||
\(591\) | 156.378 | − | 368.845i | 0.264600 | − | 0.624103i | ||||
\(592\) | −795.935 | − | 777.374i | −1.34448 | − | 1.31313i | ||||
\(593\) | 646.718 | − | 646.718i | 1.09059 | − | 1.09059i | 0.0951217 | − | 0.995466i | \(-0.469676\pi\) |
0.995466 | − | 0.0951217i | \(-0.0303240\pi\) | |||||||
\(594\) | 645.124 | + | 14.1581i | 1.08607 | + | 0.0238352i | ||||
\(595\) | −282.216 | + | 343.279i | −0.474312 | + | 0.576939i | ||||
\(596\) | 68.3083 | − | 69.1189i | 0.114611 | − | 0.115971i | ||||
\(597\) | 208.443 | + | 515.278i | 0.349151 | + | 0.863112i | ||||
\(598\) | −75.5510 | − | 180.886i | −0.126340 | − | 0.302484i | ||||
\(599\) | − | 300.352i | − | 0.501423i | −0.968062 | − | 0.250711i | \(-0.919336\pi\) | ||
0.968062 | − | 0.250711i | \(-0.0806645\pi\) | |||||||
\(600\) | 116.366 | + | 588.608i | 0.193943 | + | 0.981013i | ||||
\(601\) | 7.74118 | 0.0128805 | 0.00644025 | − | 0.999979i | \(-0.497950\pi\) | ||||
0.00644025 | + | 0.999979i | \(0.497950\pi\) | |||||||
\(602\) | 155.158 | − | 64.8053i | 0.257737 | − | 0.107650i | ||||
\(603\) | 836.703 | + | 13.8860i | 1.38757 | + | 0.0230282i | ||||
\(604\) | −343.585 | − | 339.556i | −0.568850 | − | 0.562179i | ||||
\(605\) | −84.1730 | − | 69.2002i | −0.139129 | − | 0.114380i | ||||
\(606\) | 64.0066 | − | 63.3256i | 0.105621 | − | 0.104498i | ||||
\(607\) | 424.929 | + | 424.929i | 0.700047 | + | 0.700047i | 0.964421 | − | 0.264373i | \(-0.0851650\pi\) |
−0.264373 | + | 0.964421i | \(0.585165\pi\) | |||||||
\(608\) | −18.8746 | − | 43.7321i | −0.0310438 | − | 0.0719278i | ||||
\(609\) | −309.775 | + | 730.657i | −0.508662 | + | 1.19977i | ||||
\(610\) | 810.091 | + | 243.891i | 1.32802 | + | 0.399822i | ||||
\(611\) | −126.719 | −0.207396 | ||||||||
\(612\) | 340.273 | − | 333.071i | 0.556002 | − | 0.544233i | ||||
\(613\) | 714.397 | + | 714.397i | 1.16541 | + | 1.16541i | 0.983273 | + | 0.182138i | \(0.0583017\pi\) |
0.182138 | + | 0.983273i | \(0.441698\pi\) | |||||||
\(614\) | 736.733 | + | 302.622i | 1.19989 | + | 0.492870i | ||||
\(615\) | 387.417 | + | 121.407i | 0.629946 | + | 0.197409i | ||||
\(616\) | −591.292 | + | 251.073i | −0.959889 | + | 0.407586i | ||||
\(617\) | −464.917 | − | 464.917i | −0.753513 | − | 0.753513i | 0.221620 | − | 0.975133i | \(-0.428865\pi\) |
−0.975133 | + | 0.221620i | \(0.928865\pi\) | |||||||
\(618\) | −85.2058 | − | 0.455701i | −0.137873 | − | 0.000737380i | ||||
\(619\) | −667.181 | −1.07784 | −0.538918 | − | 0.842358i | \(-0.681167\pi\) | ||||
−0.538918 | + | 0.842358i | \(0.681167\pi\) | |||||||
\(620\) | −89.9499 | − | 868.397i | −0.145080 | − | 1.40064i | ||||
\(621\) | −159.306 | − | 413.414i | −0.256532 | − | 0.665724i | ||||
\(622\) | 588.137 | − | 245.649i | 0.945558 | − | 0.394934i | ||||
\(623\) | −249.146 | − | 249.146i | −0.399913 | − | 0.399913i | ||||
\(624\) | −265.271 | − | 108.793i | −0.425113 | − | 0.174347i | ||||
\(625\) | −578.244 | + | 237.190i | −0.925190 | + | 0.379504i | ||||
\(626\) | −433.183 | − | 177.936i | −0.691986 | − | 0.284242i | ||||
\(627\) | −20.0104 | − | 49.4663i | −0.0319145 | − | 0.0788936i | ||||
\(628\) | 2.57333 | + | 436.283i | 0.00409765 | + | 0.694718i | ||||
\(629\) | −919.715 | −1.46219 | ||||||||
\(630\) | 576.130 | + | 183.934i | 0.914492 | + | 0.291959i | ||||
\(631\) | 736.830i | 1.16772i | 0.811855 | + | 0.583859i | \(0.198458\pi\) | ||||
−0.811855 | + | 0.583859i | \(0.801542\pi\) | |||||||
\(632\) | 27.9439 | − | 69.1877i | 0.0442151 | − | 0.109474i | ||||
\(633\) | −753.254 | + | 304.711i | −1.18997 | + | 0.481375i | ||||
\(634\) | −17.6432 | − | 7.24718i | −0.0278284 | − | 0.0114309i | ||||
\(635\) | −8.23287 | − | 84.3329i | −0.0129652 | − | 0.132808i | ||||
\(636\) | −229.659 | + | 94.4831i | −0.361100 | + | 0.148558i | ||||
\(637\) | −16.2391 | + | 16.2391i | −0.0254931 | + | 0.0254931i | ||||
\(638\) | −868.160 | + | 362.607i | −1.36075 | + | 0.568350i | ||||
\(639\) | −92.3689 | + | 89.3531i | −0.144552 | + | 0.139833i | ||||
\(640\) | 312.801 | + | 558.351i | 0.488751 | + | 0.872423i | ||||
\(641\) | − | 367.670i | − | 0.573588i | −0.957992 | − | 0.286794i | \(-0.907410\pi\) | ||
0.957992 | − | 0.286794i | \(-0.0925895\pi\) | |||||||
\(642\) | −130.694 | − | 0.698985i | −0.203574 | − | 0.00108876i | ||||
\(643\) | 376.586 | − | 376.586i | 0.585670 | − | 0.585670i | −0.350786 | − | 0.936456i | \(-0.614086\pi\) |
0.936456 | + | 0.350786i | \(0.114086\pi\) | |||||||
\(644\) | 313.712 | + | 310.033i | 0.487130 | + | 0.481417i | ||||
\(645\) | −86.9485 | − | 166.315i | −0.134804 | − | 0.257852i | ||||
\(646\) | −36.4218 | − | 14.9607i | −0.0563805 | − | 0.0231590i | ||||
\(647\) | −311.254 | + | 311.254i | −0.481073 | + | 0.481073i | −0.905474 | − | 0.424402i | \(-0.860485\pi\) |
0.424402 | + | 0.905474i | \(0.360485\pi\) | |||||||
\(648\) | −592.461 | − | 262.477i | −0.914292 | − | 0.405057i | ||||
\(649\) | − | 737.603i | − | 1.13652i | ||||||
\(650\) | 57.9053 | − | 292.992i | 0.0890850 | − | 0.450757i | ||||
\(651\) | −810.189 | − | 343.494i | −1.24453 | − | 0.527641i | ||||
\(652\) | −5.99787 | − | 1016.88i | −0.00919919 | − | 1.55964i | ||||
\(653\) | −47.7734 | + | 47.7734i | −0.0731598 | + | 0.0731598i | −0.742740 | − | 0.669580i | \(-0.766474\pi\) |
0.669580 | + | 0.742740i | \(0.266474\pi\) | |||||||
\(654\) | −66.9470 | + | 66.2347i | −0.102365 | + | 0.101276i | ||||
\(655\) | 883.759 | + | 726.555i | 1.34925 | + | 1.10924i | ||||
\(656\) | 433.030 | − | 5.10846i | 0.660107 | − | 0.00778728i | ||||
\(657\) | −204.768 | − | 3.39835i | −0.311671 | − | 0.00517253i | ||||
\(658\) | 263.088 | − | 109.885i | 0.399830 | − | 0.166998i | ||||
\(659\) | − | 471.784i | − | 0.715909i | −0.933739 | − | 0.357954i | \(-0.883474\pi\) | ||
0.933739 | − | 0.357954i | \(-0.116526\pi\) | |||||||
\(660\) | 335.918 | + | 633.415i | 0.508967 | + | 0.959720i | ||||
\(661\) | 86.9863 | 0.131598 | 0.0657990 | − | 0.997833i | \(-0.479040\pi\) | ||||
0.0657990 | + | 0.997833i | \(0.479040\pi\) | |||||||
\(662\) | 214.599 | + | 513.796i | 0.324167 | + | 0.776127i | ||||
\(663\) | −219.716 | + | 88.8809i | −0.331397 | + | 0.134059i | ||||
\(664\) | 132.776 | − | 56.3790i | 0.199964 | − | 0.0849082i | ||||
\(665\) | −4.85917 | − | 49.7746i | −0.00730702 | − | 0.0748490i | ||||
\(666\) | 463.161 | + | 1162.80i | 0.695437 | + | 1.74594i | ||||
\(667\) | 456.776 | + | 456.776i | 0.684822 | + | 0.684822i | ||||
\(668\) | −1.89605 | − | 321.458i | −0.00283840 | − | 0.481224i | ||||
\(669\) | −676.976 | − | 287.016i | −1.01192 | − | 0.429023i | ||||
\(670\) | 440.016 | + | 819.091i | 0.656741 | + | 1.22252i | ||||
\(671\) | 1010.95 | 1.50663 | ||||||||
\(672\) | 645.084 | − | 4.15973i | 0.959946 | − | 0.00619007i | ||||
\(673\) | 561.901 | + | 561.901i | 0.834920 | + | 0.834920i | 0.988185 | − | 0.153265i | \(-0.0489789\pi\) |
−0.153265 | + | 0.988185i | \(0.548979\pi\) | |||||||
\(674\) | 304.096 | − | 740.321i | 0.451181 | − | 1.09840i | ||||
\(675\) | 149.255 | − | 658.292i | 0.221118 | − | 0.975247i | ||||
\(676\) | −379.306 | − | 374.858i | −0.561104 | − | 0.554524i | ||||
\(677\) | −429.992 | − | 429.992i | −0.635143 | − | 0.635143i | 0.314210 | − | 0.949353i | \(-0.398260\pi\) |
−0.949353 | + | 0.314210i | \(0.898260\pi\) | |||||||
\(678\) | 282.752 | + | 1.51222i | 0.417038 | + | 0.00223042i | ||||
\(679\) | 65.6525 | 0.0966900 | ||||||||
\(680\) | 507.489 | + | 149.529i | 0.746307 | + | 0.219895i | ||||
\(681\) | 751.003 | + | 318.401i | 1.10279 | + | 0.467550i | ||||
\(682\) | −402.077 | − | 962.659i | −0.589555 | − | 1.41152i | ||||
\(683\) | −371.280 | − | 371.280i | −0.543602 | − | 0.543602i | 0.380981 | − | 0.924583i | \(-0.375586\pi\) |
−0.924583 | + | 0.380981i | \(0.875586\pi\) | |||||||
\(684\) | −0.573158 | + | 53.5823i | −0.000837950 | + | 0.0783366i | ||||
\(685\) | −106.824 | − | 1094.24i | −0.155947 | − | 1.59743i | ||||
\(686\) | 269.849 | − | 656.946i | 0.393366 | − | 0.957647i | ||||
\(687\) | −207.653 | + | 84.0008i | −0.302260 | + | 0.122272i | ||||
\(688\) | −143.211 | − | 139.871i | −0.208155 | − | 0.203301i | ||||
\(689\) | 123.613 | 0.179409 | ||||||||
\(690\) | 314.651 | − | 378.587i | 0.456016 | − | 0.548676i | ||||
\(691\) | − | 112.536i | − | 0.162860i | −0.996679 | − | 0.0814301i | \(-0.974051\pi\) | ||
0.996679 | − | 0.0814301i | \(-0.0259487\pi\) | |||||||
\(692\) | −4.36236 | − | 739.597i | −0.00630398 | − | 1.06878i | ||||
\(693\) | 722.588 | + | 11.9922i | 1.04270 | + | 0.0173047i | ||||
\(694\) | 38.7160 | − | 94.2540i | 0.0557868 | − | 0.135813i | ||||
\(695\) | 850.437 | + | 699.160i | 1.22365 | + | 1.00599i | ||||
\(696\) | 944.810 | − | 0.519680i | 1.35749 | − | 0.000746667i | ||||
\(697\) | 253.138 | − | 253.138i | 0.363183 | − | 0.363183i | ||||
\(698\) | 295.090 | + | 706.510i | 0.422765 | + | 1.01219i | ||||
\(699\) | −581.139 | − | 246.384i | −0.831386 | − | 0.352481i | ||||
\(700\) | 133.849 | + | 658.511i | 0.191213 | + | 0.940730i | ||||
\(701\) | − | 525.802i | − | 0.750074i | −0.927010 | − | 0.375037i | \(-0.877630\pi\) | ||
0.927010 | − | 0.375037i | \(-0.122370\pi\) | |||||||
\(702\) | 223.020 | + | 233.028i | 0.317692 | + | 0.331949i | ||||
\(703\) | 73.1876 | − | 73.1876i | 0.104108 | − | 0.104108i | ||||
\(704\) | 550.262 | + | 531.125i | 0.781622 | + | 0.754439i | ||||
\(705\) | −147.431 | − | 282.006i | −0.209122 | − | 0.400008i | ||||
\(706\) | −231.836 | + | 564.405i | −0.328380 | + | 0.799440i | ||||
\(707\) | 71.3046 | − | 71.3046i | 0.100855 | − | 0.100855i | ||||
\(708\) | −285.099 | + | 683.647i | −0.402683 | + | 0.965603i | ||||
\(709\) | 638.797i | 0.900984i | 0.892781 | + | 0.450492i | \(0.148751\pi\) | ||||
−0.892781 | + | 0.450492i | \(0.851249\pi\) | |||||||
\(710\) | −136.732 | − | 41.1653i | −0.192580 | − | 0.0579793i | ||||
\(711\) | −60.3348 | + | 58.3649i | −0.0848591 | + | 0.0820884i | ||||
\(712\) | −157.091 | + | 388.948i | −0.220633 | + | 0.546275i | ||||
\(713\) | −506.496 | + | 506.496i | −0.710373 | + | 0.710373i | ||||
\(714\) | 379.092 | − | 375.059i | 0.530941 | − | 0.525292i | ||||
\(715\) | −34.6757 | − | 355.198i | −0.0484975 | − | 0.496781i | ||||
\(716\) | 608.645 | + | 601.507i | 0.850063 | + | 0.840094i | ||||
\(717\) | −595.734 | + | 240.990i | −0.830871 | + | 0.336109i | ||||
\(718\) | −365.355 | − | 874.739i | −0.508850 | − | 1.21830i | ||||
\(719\) | 313.578i | 0.436131i | 0.975934 | + | 0.218065i | \(0.0699746\pi\) | ||||
−0.975934 | + | 0.218065i | \(0.930025\pi\) | |||||||
\(720\) | −66.5172 | − | 716.921i | −0.0923851 | − | 0.995723i | ||||
\(721\) | −95.4285 | −0.132356 | ||||||||
\(722\) | −662.134 | + | 276.556i | −0.917084 | + | 0.383041i | ||||
\(723\) | 188.928 | + | 467.036i | 0.261311 | + | 0.645969i | ||||
\(724\) | 436.950 | − | 442.135i | 0.603522 | − | 0.610684i | ||||
\(725\) | 190.344 | + | 965.595i | 0.262543 | + | 1.33186i | ||||
\(726\) | 91.9656 | + | 92.9546i | 0.126674 | + | 0.128037i | ||||
\(727\) | 318.387 | + | 318.387i | 0.437946 | + | 0.437946i | 0.891320 | − | 0.453374i | \(-0.149780\pi\) |
−0.453374 | + | 0.891320i | \(0.649780\pi\) | |||||||
\(728\) | −297.740 | − | 120.253i | −0.408984 | − | 0.165183i | ||||
\(729\) | 489.190 | + | 540.494i | 0.671043 | + | 0.741419i | ||||
\(730\) | −107.686 | − | 200.458i | −0.147515 | − | 0.274599i | ||||
\(731\) | −165.482 | −0.226378 | ||||||||
\(732\) | −936.997 | − | 390.753i | −1.28005 | − | 0.533816i | ||||
\(733\) | −120.156 | − | 120.156i | −0.163924 | − | 0.163924i | 0.620379 | − | 0.784303i | \(-0.286979\pi\) |
−0.784303 | + | 0.620379i | \(0.786979\pi\) | |||||||
\(734\) | −652.305 | − | 267.942i | −0.888699 | − | 0.365044i | ||||
\(735\) | −55.0327 | − | 17.2458i | −0.0748744 | − | 0.0234637i | ||||
\(736\) | 193.769 | − | 488.032i | 0.263273 | − | 0.663086i | ||||
\(737\) | 785.647 | + | 785.647i | 1.06601 | + | 1.06601i | ||||
\(738\) | −447.522 | − | 192.565i | −0.606398 | − | 0.260928i | ||||
\(739\) | −376.922 | −0.510043 | −0.255022 | − | 0.966935i | \(-0.582083\pi\) | ||||
−0.255022 | + | 0.966935i | \(0.582083\pi\) | |||||||
\(740\) | −876.835 | + | 1079.47i | −1.18491 | + | 1.45875i | ||||
\(741\) | 10.4114 | − | 24.5570i | 0.0140505 | − | 0.0331404i | ||||
\(742\) | −256.640 | + | 107.191i | −0.345876 | + | 0.144463i | ||||
\(743\) | 139.469 | + | 139.469i | 0.187710 | + | 0.187710i | 0.794705 | − | 0.606995i | \(-0.207625\pi\) |
−0.606995 | + | 0.794705i | \(0.707625\pi\) | |||||||
\(744\) | 0.576247 | + | 1047.65i | 0.000774526 | + | 1.40813i | ||||
\(745\) | −93.8327 | − | 77.1416i | −0.125950 | − | 0.103546i | ||||
\(746\) | −282.780 | − | 116.156i | −0.379062 | − | 0.155705i | ||||
\(747\) | −162.259 | − | 2.69287i | −0.217214 | − | 0.00360491i | ||||
\(748\) | 632.194 | − | 3.72887i | 0.845180 | − | 0.00498512i | ||||
\(749\) | −146.375 | −0.195427 | ||||||||
\(750\) | 719.409 | − | 212.017i | 0.959211 | − | 0.282690i | ||||
\(751\) | − | 387.240i | − | 0.515633i | −0.966194 | − | 0.257816i | \(-0.916997\pi\) | ||
0.966194 | − | 0.257816i | \(-0.0830029\pi\) | |||||||
\(752\) | −242.830 | − | 237.168i | −0.322912 | − | 0.315382i | ||||
\(753\) | −187.663 | − | 463.908i | −0.249220 | − | 0.616079i | ||||
\(754\) | −435.024 | − | 178.692i | −0.576955 | − | 0.236992i | ||||
\(755\) | −383.466 | + | 466.436i | −0.507901 | + | 0.617796i | ||||
\(756\) | −665.096 | − | 290.411i | −0.879756 | − | 0.384141i | ||||
\(757\) | −765.761 | + | 765.761i | −1.01157 | + | 1.01157i | −0.0116408 | + | 0.999932i | \(0.503705\pi\) |
−0.999932 | + | 0.0116408i | \(0.996295\pi\) | |||||||
\(758\) | −110.851 | + | 46.2993i | −0.146241 | + | 0.0610809i | ||||
\(759\) | 229.614 | − | 541.584i | 0.302522 | − | 0.713549i | ||||
\(760\) | −52.2831 | + | 28.4851i | −0.0687935 | + | 0.0374804i | ||||
\(761\) | − | 1139.50i | − | 1.49737i | −0.662925 | − | 0.748686i | \(-0.730685\pi\) | ||
0.662925 | − | 0.748686i | \(-0.269315\pi\) | |||||||
\(762\) | −0.543804 | + | 101.679i | −0.000713654 | + | 0.133437i | ||||
\(763\) | −74.5802 | + | 74.5802i | −0.0977460 | + | 0.0977460i | ||||
\(764\) | −288.412 | + | 291.835i | −0.377503 | + | 0.381983i | ||||
\(765\) | −453.429 | − | 385.558i | −0.592718 | − | 0.503997i | ||||
\(766\) | −982.088 | − | 403.405i | −1.28210 | − | 0.526639i | ||||
\(767\) | 260.711 | − | 260.711i | 0.339910 | − | 0.339910i | ||||
\(768\) | −304.719 | − | 704.961i | −0.396769 | − | 0.917918i | ||||
\(769\) | − | 1312.74i | − | 1.70708i | −0.521031 | − | 0.853538i | \(-0.674452\pi\) | ||
0.521031 | − | 0.853538i | \(-0.325548\pi\) | |||||||
\(770\) | 380.004 | + | 707.378i | 0.493512 | + | 0.918673i | ||||
\(771\) | 27.0266 | − | 63.7467i | 0.0350539 | − | 0.0826805i | ||||
\(772\) | 781.836 | − | 4.61150i | 1.01274 | − | 0.00597345i | ||||
\(773\) | −335.897 | + | 335.897i | −0.434537 | + | 0.434537i | −0.890168 | − | 0.455632i | \(-0.849413\pi\) |
0.455632 | + | 0.890168i | \(0.349413\pi\) | |||||||
\(774\) | 83.3355 | + | 209.220i | 0.107669 | + | 0.270310i | ||||
\(775\) | −1070.70 | + | 211.062i | −1.38155 | + | 0.272339i | ||||
\(776\) | −30.5484 | − | 71.9434i | −0.0393665 | − | 0.0927106i | ||||
\(777\) | 525.680 | + | 1299.50i | 0.676550 | + | 1.67245i | ||||
\(778\) | −857.000 | + | 357.946i | −1.10154 | + | 0.460084i | ||||
\(779\) | 40.2877i | 0.0517171i | ||||||||
\(780\) | −105.153 | + | 342.618i | −0.134811 | + | 0.439254i | ||||
\(781\) | −170.633 | −0.218481 | ||||||||
\(782\) | −167.293 | − | 400.536i | −0.213930 | − | 0.512195i | ||||
\(783\) | −971.574 | − | 431.074i | −1.24084 | − | 0.550541i | ||||
\(784\) | −61.5121 | + | 0.725658i | −0.0784593 | + | 0.000925584i | ||||
\(785\) | 542.783 | − | 52.9884i | 0.691443 | − | 0.0675011i | ||||
\(786\) | −965.576 | − | 975.960i | −1.22847 | − | 1.24168i | ||||
\(787\) | −168.467 | − | 168.467i | −0.214063 | − | 0.214063i | 0.591928 | − | 0.805991i | \(-0.298367\pi\) |
−0.805991 | + | 0.591928i | \(0.798367\pi\) | |||||||
\(788\) | −534.158 | + | 3.15062i | −0.677865 | + | 0.00399825i | ||||
\(789\) | 200.863 | − | 473.770i | 0.254580 | − | 0.600468i | ||||
\(790\) | −89.3122 | − | 26.8889i | −0.113053 | − | 0.0340366i | ||||
\(791\) | 316.676 | 0.400348 | ||||||||
\(792\) | −323.082 | − | 797.407i | −0.407932 | − | 1.00683i | ||||
\(793\) | 357.327 | + | 357.327i | 0.450602 | + | 0.450602i | ||||
\(794\) | −135.339 | + | 329.483i | −0.170453 | + | 0.414966i | ||||
\(795\) | 143.818 | + | 275.094i | 0.180903 | + | 0.346030i | ||||
\(796\) | 520.952 | − | 527.134i | 0.654463 | − | 0.662229i | ||||
\(797\) | 639.400 | + | 639.400i | 0.802258 | + | 0.802258i | 0.983448 | − | 0.181190i | \(-0.0579949\pi\) |
−0.181190 | + | 0.983448i | \(0.557995\pi\) | |||||||
\(798\) | −0.320962 | + | 60.0126i | −0.000402208 | + | 0.0752037i | ||||
\(799\) | −280.594 | −0.351182 | ||||||||
\(800\) | 659.330 | − | 453.083i | 0.824162 | − | 0.566354i | ||||
\(801\) | 339.180 | − | 328.106i | 0.423446 | − | 0.409621i | ||||
\(802\) | 391.623 | + | 937.631i | 0.488308 | + | 1.16912i | ||||
\(803\) | −192.273 | − | 192.273i | −0.239443 | − | 0.239443i | ||||
\(804\) | −424.508 | − | 1031.85i | −0.527995 | − | 1.28339i | ||||
\(805\) | 350.124 | − | 425.881i | 0.434937 | − | 0.529044i | ||||
\(806\) | 198.142 | − | 482.376i | 0.245834 | − | 0.598482i | ||||
\(807\) | 196.508 | + | 485.773i | 0.243504 | + | 0.601949i | ||||
\(808\) | −111.315 | − | 44.9587i | −0.137767 | − | 0.0556420i | ||||
\(809\) | 857.503 | 1.05995 | 0.529977 | − | 0.848012i | \(-0.322200\pi\) | ||||
0.529977 | + | 0.848012i | \(0.322200\pi\) | |||||||
\(810\) | −259.119 | + | 767.436i | −0.319900 | + | 0.947451i | ||||
\(811\) | − | 1573.57i | − | 1.94028i | −0.242547 | − | 0.970140i | \(-0.577983\pi\) | ||
0.242547 | − | 0.970140i | \(-0.422017\pi\) | |||||||
\(812\) | 1058.13 | − | 6.24117i | 1.30312 | − | 0.00768617i | ||||
\(813\) | 853.456 | − | 345.245i | 1.04976 | − | 0.424656i | ||||
\(814\) | −631.434 | + | 1537.22i | −0.775717 | + | 1.88848i | ||||
\(815\) | −1265.11 | + | 123.505i | −1.55228 | + | 0.151539i | ||||
\(816\) | −587.391 | − | 240.901i | −0.719842 | − | 0.295221i | ||||
\(817\) | 13.1685 | − | 13.1685i | 0.0161181 | − | 0.0161181i | ||||
\(818\) | 450.094 | + | 1077.62i | 0.550237 | + | 1.31739i | ||||
\(819\) | 251.165 | + | 259.643i | 0.306673 | + | 0.317024i | ||||
\(820\) | −55.7729 | − | 538.445i | −0.0680157 | − | 0.656640i | ||||
\(821\) | 1040.55i | 1.26742i | 0.773571 | + | 0.633710i | \(0.218469\pi\) | ||||
−0.773571 | + | 0.633710i | \(0.781531\pi\) | |||||||
\(822\) | −7.05600 | + | 1319.31i | −0.00858394 | + | 1.60500i | ||||
\(823\) | 309.894 | − | 309.894i | 0.376542 | − | 0.376542i | −0.493311 | − | 0.869853i | \(-0.664214\pi\) |
0.869853 | + | 0.493311i | \(0.164214\pi\) | |||||||
\(824\) | 44.4033 | + | 104.573i | 0.0538875 | + | 0.126908i | ||||
\(825\) | 750.131 | − | 490.425i | 0.909249 | − | 0.594454i | ||||
\(826\) | −315.201 | + | 767.355i | −0.381599 | + | 0.929001i | ||||
\(827\) | 527.373 | − | 527.373i | 0.637694 | − | 0.637694i | −0.312292 | − | 0.949986i | \(-0.601097\pi\) |
0.949986 | + | 0.312292i | \(0.101097\pi\) | |||||||
\(828\) | −422.152 | + | 413.216i | −0.509845 | + | 0.499053i | ||||
\(829\) | 1067.23i | 1.28737i | 0.765292 | + | 0.643683i | \(0.222594\pi\) | ||||
−0.765292 | + | 0.643683i | \(0.777406\pi\) | |||||||
\(830\) | −85.3309 | − | 158.844i | −0.102808 | − | 0.191378i | ||||
\(831\) | 111.694 | + | 47.3548i | 0.134409 | + | 0.0569853i | ||||
\(832\) | 6.76404 | + | 382.224i | 0.00812986 | + | 0.459404i | ||||
\(833\) | −35.9584 | + | 35.9584i | −0.0431673 | + | 0.0431673i | ||||
\(834\) | −929.169 | − | 939.161i | −1.11411 | − | 1.12609i | ||||
\(835\) | −399.928 | + | 39.0423i | −0.478955 | + | 0.0467573i | ||||
\(836\) | −50.0110 | + | 50.6045i | −0.0598218 | + | 0.0605317i | ||||
\(837\) | 477.996 | − | 1077.33i | 0.571083 | − | 1.28713i | ||||
\(838\) | 218.836 | + | 523.940i | 0.261140 | + | 0.625227i | ||||
\(839\) | − | 1290.47i | − | 1.53811i | −0.639182 | − | 0.769055i | \(-0.720727\pi\) | ||
0.639182 | − | 0.769055i | \(-0.279273\pi\) | |||||||
\(840\) | −78.7898 | − | 802.513i | −0.0937974 | − | 0.955373i | ||||
\(841\) | 708.767 | 0.842767 | ||||||||
\(842\) | −864.032 | + | 360.883i | −1.02617 | + | 0.428602i | ||||
\(843\) | 117.698 | − | 47.6117i | 0.139618 | − | 0.0564789i | ||||
\(844\) | 770.586 | + | 761.549i | 0.913017 | + | 0.902309i | ||||
\(845\) | −423.333 | + | 514.929i | −0.500985 | + | 0.609383i | ||||
\(846\) | 141.305 | + | 354.756i | 0.167027 | + | 0.419333i | ||||
\(847\) | 103.553 | + | 103.553i | 0.122259 | + | 0.122259i | ||||
\(848\) | 236.878 | + | 231.355i | 0.279338 | + | 0.272824i | ||||
\(849\) | −1335.23 | − | 566.095i | −1.57271 | − | 0.666779i | ||||
\(850\) | 128.220 | − | 648.775i | 0.150847 | − | 0.763265i | ||||
\(851\) | 1141.02 | 1.34080 | ||||||||
\(852\) | 158.152 | + | 65.9535i | 0.185624 | + | 0.0774102i | ||||
\(853\) | −547.033 | − | 547.033i | −0.641305 | − | 0.641305i | 0.309572 | − | 0.950876i | \(-0.399814\pi\) |
−0.950876 | + | 0.309572i | \(0.899814\pi\) | |||||||
\(854\) | −1051.73 | − | 432.010i | −1.23153 | − | 0.505866i | ||||
\(855\) | 66.7635 | − | 5.40093i | 0.0780860 | − | 0.00631687i | ||||
\(856\) | 68.1088 | + | 160.400i | 0.0795664 | + | 0.187384i | ||||
\(857\) | −29.4871 | − | 29.4871i | −0.0344074 | − | 0.0344074i | 0.689694 | − | 0.724101i | \(-0.257745\pi\) |
−0.724101 | + | 0.689694i | \(0.757745\pi\) | |||||||
\(858\) | −2.29043 | + | 428.258i | −0.00266949 | + | 0.499135i | ||||
\(859\) | 1301.37 | 1.51499 | 0.757493 | − | 0.652843i | \(-0.226424\pi\) | ||||
0.757493 | + | 0.652843i | \(0.226424\pi\) | |||||||
\(860\) | −157.767 | + | 194.227i | −0.183450 | + | 0.225845i | ||||
\(861\) | −502.353 | − | 212.982i | −0.583453 | − | 0.247366i | ||||
\(862\) | 1568.25 | − | 655.017i | 1.81932 | − | 0.759881i | ||||
\(863\) | 7.00094 | + | 7.00094i | 0.00811233 | + | 0.00811233i | 0.711151 | − | 0.703039i | \(-0.248174\pi\) |
−0.703039 | + | 0.711151i | \(0.748174\pi\) | |||||||
\(864\) | −8.76628 | + | 863.956i | −0.0101462 | + | 0.999949i | ||||
\(865\) | −920.138 | + | 89.8271i | −1.06374 | + | 0.103846i | ||||
\(866\) | 402.616 | + | 165.380i | 0.464915 | + | 0.190970i | ||||
\(867\) | 317.210 | − | 128.319i | 0.365870 | − | 0.148004i | ||||
\(868\) | 6.92052 | + | 1173.31i | 0.00797295 | + | 1.35174i | ||||
\(869\) | −111.457 | −0.128258 | ||||||||
\(870\) | −108.461 | − | 1176.02i | −0.124668 | − | 1.35175i | ||||
\(871\) | 555.386i | 0.637642i | ||||||||
\(872\) | 116.429 | + | 47.0240i | 0.133520 | + | 0.0539267i | ||||
\(873\) | −1.45911 | + | 87.9184i | −0.00167137 | + | 0.100708i | ||||
\(874\) | 45.1858 | + | 18.5606i | 0.0517000 | + | 0.0212364i | ||||
\(875\) | 804.428 | − | 241.757i | 0.919346 | − | 0.276294i | ||||
\(876\) | 103.891 | + | 252.526i | 0.118596 | + | 0.288271i | ||||
\(877\) | −43.0680 | + | 43.0680i | −0.0491084 | + | 0.0491084i | −0.731235 | − | 0.682126i | \(-0.761055\pi\) |
0.682126 | + | 0.731235i | \(0.261055\pi\) | |||||||
\(878\) | 102.568 | − | 42.8398i | 0.116820 | − | 0.0487925i | ||||
\(879\) | 987.920 | + | 418.847i | 1.12391 | + | 0.476504i | ||||
\(880\) | 598.342 | − | 745.563i | 0.679935 | − | 0.847230i | ||||
\(881\) | − | 648.829i | − | 0.736469i | −0.929733 | − | 0.368235i | \(-0.879962\pi\) | ||
0.929733 | − | 0.368235i | \(-0.120038\pi\) | |||||||
\(882\) | 63.5706 | + | 27.3539i | 0.0720755 | + | 0.0310135i | ||||
\(883\) | −799.685 | + | 799.685i | −0.905645 | + | 0.905645i | −0.995917 | − | 0.0902718i | \(-0.971226\pi\) |
0.0902718 | + | 0.995917i | \(0.471226\pi\) | |||||||
\(884\) | 224.772 | + | 222.136i | 0.254267 | + | 0.251285i | ||||
\(885\) | 883.524 | + | 276.874i | 0.998332 | + | 0.312852i | ||||
\(886\) | 1420.85 | + | 583.631i | 1.60366 | + | 0.658726i | ||||
\(887\) | 103.964 | − | 103.964i | 0.117209 | − | 0.117209i | −0.646070 | − | 0.763278i | \(-0.723588\pi\) |
0.763278 | + | 0.646070i | \(0.223588\pi\) | |||||||
\(888\) | 1179.41 | − | 1180.71i | 1.32817 | − | 1.32963i | ||||
\(889\) | 113.878i | 0.128097i | ||||||||
\(890\) | 502.081 | + | 151.160i | 0.564136 | + | 0.169842i | ||||
\(891\) | −32.1186 | + | 967.386i | −0.0360478 | + | 1.08573i | ||||
\(892\) | 5.78263 | + | 980.391i | 0.00648277 | + | 1.09909i | ||||
\(893\) | 22.3287 | − | 22.3287i | 0.0250041 | − | 0.0250041i | ||||
\(894\) | 102.519 | + | 103.622i | 0.114675 | + | 0.115908i | ||||
\(895\) | 679.290 | − | 826.268i | 0.758984 | − | 0.923205i | ||||
\(896\) | −345.491 | − | 787.692i | −0.385592 | − | 0.879121i | ||||
\(897\) | 272.586 | − | 110.268i | 0.303886 | − | 0.122930i | ||||
\(898\) | −67.0767 | + | 28.0161i | −0.0746957 | + | 0.0311984i | ||||
\(899\) | 1718.46i | 1.91152i | ||||||||
\(900\) | −884.819 | + | 164.609i | −0.983132 | + | 0.182899i | ||||
\(901\) | 273.717 | 0.303792 | ||||||||
\(902\) | −249.305 | − | 596.891i | −0.276392 | − | 0.661742i | ||||
\(903\) | 94.5843 | + | 233.815i | 0.104745 | + | 0.258932i | ||||
\(904\) | −147.351 | − | 347.020i | −0.162998 | − | 0.383872i | ||||
\(905\) | −600.222 | − | 493.454i | −0.663229 | − | 0.545253i | ||||
\(906\) | 515.098 | − | 509.618i | 0.568541 | − | 0.562492i | ||||
\(907\) | −695.991 | − | 695.991i | −0.767355 | − | 0.767355i | 0.210285 | − | 0.977640i | \(-0.432561\pi\) |
−0.977640 | + | 0.210285i | \(0.932561\pi\) | |||||||
\(908\) | −6.41496 | − | 1087.60i | −0.00706494 | − | 1.19779i | ||||
\(909\) | 93.9027 | + | 97.0721i | 0.103303 | + | 0.106790i | ||||
\(910\) | −115.713 | + | 384.343i | −0.127157 | + | 0.422355i | ||||
\(911\) | −1074.43 | −1.17939 | −0.589696 | − | 0.807625i | \(-0.700753\pi\) | ||||
−0.589696 | + | 0.807625i | \(0.700753\pi\) | |||||||
\(912\) | 65.9124 | − | 27.5724i | 0.0722724 | − | 0.0302329i | ||||
\(913\) | −152.358 | − | 152.358i | −0.166876 | − | 0.166876i | ||||
\(914\) | 499.893 | − | 1216.99i | 0.546929 | − | 1.33150i | ||||
\(915\) | −379.479 | + | 1210.95i | −0.414731 | + | 1.32344i | ||||
\(916\) | 212.431 | + | 209.939i | 0.231911 | + | 0.229191i | ||||
\(917\) | −1087.24 | − | 1087.24i | −1.18565 | − | 1.18565i | ||||
\(918\) | 493.834 | + | 515.996i | 0.537946 | + | 0.562087i | ||||
\(919\) | −1186.92 | −1.29153 | −0.645766 | − | 0.763535i | \(-0.723462\pi\) | ||||
−0.645766 | + | 0.763535i | \(0.723462\pi\) | |||||||
\(920\) | −629.604 | − | 185.509i | −0.684352 | − | 0.201641i | ||||
\(921\) | −466.333 | + | 1099.92i | −0.506333 | + | 1.19427i | ||||
\(922\) | −53.7217 | − | 128.621i | −0.0582665 | − | 0.139503i | ||||
\(923\) | −60.3116 | − | 60.3116i | −0.0653431 | − | 0.0653431i | ||||
\(924\) | −366.611 | − | 891.117i | −0.396765 | − | 0.964412i | ||||
\(925\) | 1443.76 | + | 968.286i | 1.56082 | + | 1.04680i | ||||
\(926\) | −487.245 | + | 1186.20i | −0.526183 | + | 1.28099i | ||||
\(927\) | 2.12087 | − | 127.793i | 0.00228788 | − | 0.137856i | ||||
\(928\) | −499.193 | − | 1156.62i | −0.537923 | − | 1.24636i | ||||
\(929\) | 1085.41 | 1.16836 | 0.584182 | − | 0.811623i | \(-0.301415\pi\) | ||||
0.584182 | + | 0.811623i | \(0.301415\pi\) | |||||||
\(930\) | 1304.03 | − | 120.267i | 1.40218 | − | 0.129319i | ||||
\(931\) | − | 5.72287i | − | 0.00614702i | ||||||
\(932\) | 4.96401 | + | 841.600i | 0.00532619 | + | 0.903005i | ||||
\(933\) | 358.528 | + | 886.293i | 0.384275 | + | 0.949939i | ||||
\(934\) | 466.810 | − | 1136.45i | 0.499797 | − | 1.21675i | ||||
\(935\) | −76.7826 | − | 786.518i | −0.0821204 | − | 0.841195i | ||||
\(936\) | 167.654 | − | 396.046i | 0.179117 | − | 0.423126i | ||||
\(937\) | −302.640 | + | 302.640i | −0.322988 | + | 0.322988i | −0.849912 | − | 0.526924i | \(-0.823345\pi\) |
0.526924 | + | 0.849912i | \(0.323345\pi\) | |||||||
\(938\) | −481.606 | − | 1153.07i | −0.513439 | − | 1.22928i | ||||
\(939\) | 274.194 | − | 646.732i | 0.292006 | − | 0.688746i | ||||
\(940\) | −267.512 | + | 329.334i | −0.284587 | + | 0.350355i | ||||
\(941\) | 193.039i | 0.205142i | 0.994726 | + | 0.102571i | \(0.0327069\pi\) | ||||
−0.994726 | + | 0.102571i | \(0.967293\pi\) | |||||||
\(942\) | −654.427 | − | 3.50003i | −0.694721 | − | 0.00371553i | ||||
\(943\) | −314.050 | + | 314.050i | −0.333033 | + | 0.333033i | ||||
\(944\) | 987.548 | − | 11.6501i | 1.04613 | − | 0.0123412i | ||||
\(945\) | −285.602 | + | 861.037i | −0.302225 | + | 0.911151i | ||||
\(946\) | −113.612 | + | 276.589i | −0.120098 | + | 0.292377i | ||||
\(947\) | −508.522 | + | 508.522i | −0.536982 | + | 0.536982i | −0.922641 | − | 0.385659i | \(-0.873974\pi\) |
0.385659 | + | 0.922641i | \(0.373974\pi\) | |||||||
\(948\) | 103.304 | + | 43.0804i | 0.108970 | + | 0.0454434i | ||||
\(949\) | − | 135.921i | − | 0.143225i | ||||||
\(950\) | 41.4239 | + | 61.8304i | 0.0436041 | + | 0.0650847i | ||||
\(951\) | 11.1677 | − | 26.3409i | 0.0117431 | − | 0.0276981i | ||||
\(952\) | −659.288 | − | 266.277i | −0.692529 | − | 0.279703i | ||||
\(953\) | 182.398 | − | 182.398i | 0.191393 | − | 0.191393i | −0.604905 | − | 0.796298i | \(-0.706789\pi\) |
0.796298 | + | 0.604905i | \(0.206789\pi\) | |||||||
\(954\) | −137.842 | − | 346.061i | −0.144488 | − | 0.362747i | ||||
\(955\) | 396.182 | + | 325.708i | 0.414850 | + | 0.341056i | ||||
\(956\) | 609.442 | + | 602.295i | 0.637492 | + | 0.630015i | ||||
\(957\) | −529.231 | − | 1308.27i | −0.553010 | − | 1.36706i | ||||
\(958\) | −236.670 | − | 566.639i | −0.247046 | − | 0.591481i | ||||
\(959\) | 1477.60i | 1.54077i | ||||||||
\(960\) | −842.750 | + | 459.753i | −0.877865 | + | 0.478909i | ||||
\(961\) | −944.513 | −0.982844 | ||||||||
\(962\) | −766.528 | + | 320.158i | −0.796807 | + | 0.332805i | ||||
\(963\) | 3.25313 | − | 196.017i | 0.00337812 | − | 0.203549i | ||||
\(964\) | 472.179 | − | 477.782i | 0.489812 | − | 0.495625i | ||||
\(965\) | −94.9573 | − | 972.688i | −0.0984013 | − | 1.00797i | ||||
\(966\) | −470.312 | + | 465.308i | −0.486865 | + | 0.481685i | ||||
\(967\) | −754.876 | − | 754.876i | −0.780637 | − | 0.780637i | 0.199301 | − | 0.979938i | \(-0.436133\pi\) |
−0.979938 | + | 0.199301i | \(0.936133\pi\) | |||||||
\(968\) | 65.2920 | − | 161.659i | 0.0674504 | − | 0.167004i | ||||
\(969\) | 23.0540 | − | 54.3768i | 0.0237916 | − | 0.0561164i | ||||
\(970\) | −86.0678 | + | 46.2357i | −0.0887297 | + | 0.0476657i | ||||
\(971\) | −670.107 | −0.690121 | −0.345060 | − | 0.938580i | \(-0.612142\pi\) | ||||
−0.345060 | + | 0.938580i | \(0.612142\pi\) | |||||||
\(972\) | 403.685 | − | 884.207i | 0.415313 | − | 0.909678i | ||||
\(973\) | −1046.24 | − | 1046.24i | −1.07528 | − | 1.07528i | ||||
\(974\) | 655.211 | + | 269.136i | 0.672701 | + | 0.276321i | ||||
\(975\) | 438.484 | + | 91.7950i | 0.449727 | + | 0.0941487i | ||||
\(976\) | 15.9675 | + | 1353.52i | 0.0163601 | + | 1.38680i | ||||
\(977\) | −1030.12 | − | 1030.12i | −1.05437 | − | 1.05437i | −0.998435 | − | 0.0559325i | \(-0.982187\pi\) |
−0.0559325 | − | 0.998435i | \(-0.517813\pi\) | |||||||
\(978\) | 1525.33 | + | 8.15782i | 1.55964 | + | 0.00834133i | ||||
\(979\) | 626.569 | 0.640009 | ||||||||
\(980\) | 7.92256 | + | 76.4863i | 0.00808424 | + | 0.0780472i | ||||
\(981\) | −98.2164 | − | 101.531i | −0.100119 | − | 0.103498i | ||||
\(982\) | −538.430 | + | 224.888i | −0.548299 | + | 0.229010i | ||||
\(983\) | 1099.04 | + | 1099.04i | 1.11804 | + | 1.11804i | 0.992028 | + | 0.126017i | \(0.0402193\pi\) |
0.126017 | + | 0.992028i | \(0.459781\pi\) | |||||||
\(984\) | 0.357299 | + | 649.591i | 0.000363109 | + | 0.660153i | ||||
\(985\) | 64.8756 | + | 664.549i | 0.0658636 | + | 0.674669i | ||||
\(986\) | −963.277 | − | 395.678i | −0.976954 | − | 0.401296i | ||||
\(987\) | 160.379 | + | 396.461i | 0.162491 | + | 0.401683i | ||||
\(988\) | −35.5633 | + | 0.209763i | −0.0359952 | + | 0.000212310i | ||||
\(989\) | 205.302 | 0.207585 | ||||||||
\(990\) | −955.730 | + | 493.160i | −0.965383 | + | 0.498142i | ||||
\(991\) | − | 893.875i | − | 0.901993i | −0.892526 | − | 0.450996i | \(-0.851069\pi\) | ||
0.892526 | − | 0.450996i | \(-0.148931\pi\) | |||||||
\(992\) | 1282.52 | − | 553.530i | 1.29286 | − | 0.557994i | ||||
\(993\) | −774.266 | + | 313.210i | −0.779724 | + | 0.315418i | ||||
\(994\) | 177.516 | + | 72.9169i | 0.178588 | + | 0.0733571i | ||||
\(995\) | −715.613 | − | 588.319i | −0.719209 | − | 0.591275i | ||||
\(996\) | 82.3233 | + | 200.103i | 0.0826540 | + | 0.200906i | ||||
\(997\) | 465.597 | − | 465.597i | 0.466998 | − | 0.466998i | −0.433943 | − | 0.900940i | \(-0.642878\pi\) |
0.900940 | + | 0.433943i | \(0.142878\pi\) | |||||||
\(998\) | 778.757 | − | 325.266i | 0.780317 | − | 0.325917i | ||||
\(999\) | −1751.90 | + | 675.082i | −1.75365 | + | 0.675758i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 60.3.l.a.23.19 | yes | 40 | |
3.2 | odd | 2 | inner | 60.3.l.a.23.2 | ✓ | 40 | |
4.3 | odd | 2 | inner | 60.3.l.a.23.9 | yes | 40 | |
5.2 | odd | 4 | inner | 60.3.l.a.47.12 | yes | 40 | |
5.3 | odd | 4 | 300.3.l.g.107.9 | 40 | |||
5.4 | even | 2 | 300.3.l.g.143.2 | 40 | |||
12.11 | even | 2 | inner | 60.3.l.a.23.12 | yes | 40 | |
15.2 | even | 4 | inner | 60.3.l.a.47.9 | yes | 40 | |
15.8 | even | 4 | 300.3.l.g.107.12 | 40 | |||
15.14 | odd | 2 | 300.3.l.g.143.19 | 40 | |||
20.3 | even | 4 | 300.3.l.g.107.19 | 40 | |||
20.7 | even | 4 | inner | 60.3.l.a.47.2 | yes | 40 | |
20.19 | odd | 2 | 300.3.l.g.143.12 | 40 | |||
60.23 | odd | 4 | 300.3.l.g.107.2 | 40 | |||
60.47 | odd | 4 | inner | 60.3.l.a.47.19 | yes | 40 | |
60.59 | even | 2 | 300.3.l.g.143.9 | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
60.3.l.a.23.2 | ✓ | 40 | 3.2 | odd | 2 | inner | |
60.3.l.a.23.9 | yes | 40 | 4.3 | odd | 2 | inner | |
60.3.l.a.23.12 | yes | 40 | 12.11 | even | 2 | inner | |
60.3.l.a.23.19 | yes | 40 | 1.1 | even | 1 | trivial | |
60.3.l.a.47.2 | yes | 40 | 20.7 | even | 4 | inner | |
60.3.l.a.47.9 | yes | 40 | 15.2 | even | 4 | inner | |
60.3.l.a.47.12 | yes | 40 | 5.2 | odd | 4 | inner | |
60.3.l.a.47.19 | yes | 40 | 60.47 | odd | 4 | inner | |
300.3.l.g.107.2 | 40 | 60.23 | odd | 4 | |||
300.3.l.g.107.9 | 40 | 5.3 | odd | 4 | |||
300.3.l.g.107.12 | 40 | 15.8 | even | 4 | |||
300.3.l.g.107.19 | 40 | 20.3 | even | 4 | |||
300.3.l.g.143.2 | 40 | 5.4 | even | 2 | |||
300.3.l.g.143.9 | 40 | 60.59 | even | 2 | |||
300.3.l.g.143.12 | 40 | 20.19 | odd | 2 | |||
300.3.l.g.143.19 | 40 | 15.14 | odd | 2 |