Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,3,Mod(7,69)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(69, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 19]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.7");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.f (of order \(22\), degree \(10\), 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: | \(1.88011382409\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 10.7 | ||
Character | \(\chi\) | \(=\) | 69.10 |
Dual form | 69.3.f.a.7.7 |
$q$-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 \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{3}{22}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.89640 | + | 2.18856i | 0.948198 | + | 1.09428i | 0.995439 | + | 0.0953951i | \(0.0304115\pi\) |
−0.0472417 | + | 0.998883i | \(0.515043\pi\) | |||||||
\(3\) | 1.45709 | + | 0.936417i | 0.485698 | + | 0.312139i | ||||
\(4\) | −0.624207 | + | 4.34145i | −0.156052 | + | 1.08536i | ||||
\(5\) | −2.49041 | − | 1.13733i | −0.498083 | − | 0.227467i | 0.150501 | − | 0.988610i | \(-0.451911\pi\) |
−0.648584 | + | 0.761143i | \(0.724639\pi\) | |||||||
\(6\) | 0.713823 | + | 4.96475i | 0.118971 | + | 0.827459i | ||||
\(7\) | 0.240886 | − | 0.820382i | 0.0344123 | − | 0.117197i | −0.940496 | − | 0.339805i | \(-0.889639\pi\) |
0.974908 | + | 0.222608i | \(0.0714570\pi\) | |||||||
\(8\) | −0.940602 | + | 0.604488i | −0.117575 | + | 0.0755610i | ||||
\(9\) | 1.24625 | + | 2.72890i | 0.138472 | + | 0.303211i | ||||
\(10\) | −2.23369 | − | 7.60725i | −0.223369 | − | 0.760725i | ||||
\(11\) | −10.8512 | − | 9.40266i | −0.986477 | − | 0.854787i | 0.00292443 | − | 0.999996i | \(-0.499069\pi\) |
−0.989401 | + | 0.145209i | \(0.953615\pi\) | |||||||
\(12\) | −4.97494 | + | 5.74139i | −0.414579 | + | 0.478449i | ||||
\(13\) | 7.40140 | − | 2.17325i | 0.569338 | − | 0.167173i | 0.0156216 | − | 0.999878i | \(-0.495027\pi\) |
0.553717 | + | 0.832705i | \(0.313209\pi\) | |||||||
\(14\) | 2.25227 | − | 1.02858i | 0.160876 | − | 0.0734697i | ||||
\(15\) | −2.56375 | − | 3.98927i | −0.170917 | − | 0.265951i | ||||
\(16\) | 13.7270 | + | 4.03062i | 0.857938 | + | 0.251913i | ||||
\(17\) | −12.5308 | + | 1.80166i | −0.737106 | + | 0.105980i | −0.500635 | − | 0.865659i | \(-0.666900\pi\) |
−0.236471 | + | 0.971638i | \(0.575991\pi\) | |||||||
\(18\) | −3.60897 | + | 7.90255i | −0.200498 | + | 0.439030i | ||||
\(19\) | 7.61098 | + | 1.09429i | 0.400578 | + | 0.0575944i | 0.339660 | − | 0.940548i | \(-0.389688\pi\) |
0.0609182 | + | 0.998143i | \(0.480597\pi\) | |||||||
\(20\) | 6.49222 | − | 10.1021i | 0.324611 | − | 0.505104i | ||||
\(21\) | 1.11921 | − | 0.969804i | 0.0532959 | − | 0.0461811i | ||||
\(22\) | − | 41.5797i | − | 1.88999i | ||||||
\(23\) | −1.01882 | + | 22.9774i | −0.0442966 | + | 0.999018i | ||||
\(24\) | −1.93660 | −0.0806916 | ||||||||
\(25\) | −11.4629 | − | 13.2289i | −0.458515 | − | 0.529155i | ||||
\(26\) | 18.7923 | + | 12.0770i | 0.722779 | + | 0.464502i | ||||
\(27\) | −0.739490 | + | 5.14326i | −0.0273885 | + | 0.190491i | ||||
\(28\) | 3.41129 | + | 1.55788i | 0.121832 | + | 0.0556387i | ||||
\(29\) | −2.50758 | − | 17.4406i | −0.0864683 | − | 0.601400i | −0.986275 | − | 0.165111i | \(-0.947202\pi\) |
0.899807 | − | 0.436289i | \(-0.143707\pi\) | |||||||
\(30\) | 3.86886 | − | 13.1761i | 0.128962 | − | 0.439205i | ||||
\(31\) | 20.4018 | − | 13.1114i | 0.658123 | − | 0.422950i | −0.168504 | − | 0.985701i | \(-0.553893\pi\) |
0.826626 | + | 0.562751i | \(0.190257\pi\) | |||||||
\(32\) | 19.0685 | + | 41.7542i | 0.595891 | + | 1.30482i | ||||
\(33\) | −7.00647 | − | 23.8618i | −0.212317 | − | 0.723086i | ||||
\(34\) | −27.7064 | − | 24.0077i | −0.814894 | − | 0.706109i | ||||
\(35\) | −1.53295 | + | 1.76912i | −0.0437987 | + | 0.0505464i | ||||
\(36\) | −12.6253 | + | 3.70712i | −0.350703 | + | 0.102976i | ||||
\(37\) | −40.2970 | + | 18.4030i | −1.08911 | + | 0.497379i | −0.877305 | − | 0.479933i | \(-0.840661\pi\) |
−0.211803 | + | 0.977312i | \(0.567934\pi\) | |||||||
\(38\) | 12.0385 | + | 18.7323i | 0.316803 | + | 0.492955i | ||||
\(39\) | 12.8196 | + | 3.76417i | 0.328708 | + | 0.0965173i | ||||
\(40\) | 3.02999 | − | 0.435647i | 0.0757498 | − | 0.0108912i | ||||
\(41\) | −23.1881 | + | 50.7749i | −0.565564 | + | 1.23841i | 0.383562 | + | 0.923515i | \(0.374697\pi\) |
−0.949126 | + | 0.314897i | \(0.898030\pi\) | |||||||
\(42\) | 4.24494 | + | 0.610331i | 0.101070 | + | 0.0145317i | ||||
\(43\) | −0.430823 | + | 0.670374i | −0.0100191 | + | 0.0155901i | −0.846227 | − | 0.532823i | \(-0.821131\pi\) |
0.836208 | + | 0.548413i | \(0.184768\pi\) | |||||||
\(44\) | 47.5946 | − | 41.2410i | 1.08170 | − | 0.937295i | ||||
\(45\) | − | 8.21348i | − | 0.182522i | ||||||
\(46\) | −52.2195 | + | 41.3445i | −1.13521 | + | 0.898794i | ||||
\(47\) | −77.4206 | −1.64725 | −0.823623 | − | 0.567137i | \(-0.808051\pi\) | ||||
−0.823623 | + | 0.567137i | \(0.808051\pi\) | |||||||
\(48\) | 16.2272 | + | 18.7272i | 0.338067 | + | 0.390150i | ||||
\(49\) | 40.6064 | + | 26.0962i | 0.828703 | + | 0.532575i | ||||
\(50\) | 7.21398 | − | 50.1744i | 0.144280 | − | 1.00349i | ||||
\(51\) | −19.9457 | − | 9.10888i | −0.391091 | − | 0.178605i | ||||
\(52\) | 4.81505 | + | 33.4894i | 0.0925971 | + | 0.644027i | ||||
\(53\) | −3.33004 | + | 11.3411i | −0.0628309 | + | 0.213982i | −0.984925 | − | 0.172984i | \(-0.944659\pi\) |
0.922094 | + | 0.386967i | \(0.126477\pi\) | |||||||
\(54\) | −12.6587 | + | 8.13525i | −0.234420 | + | 0.150653i | ||||
\(55\) | 16.3301 | + | 35.7580i | 0.296911 | + | 0.650145i | ||||
\(56\) | 0.269333 | + | 0.917265i | 0.00480952 | + | 0.0163797i | ||||
\(57\) | 10.0652 | + | 8.72155i | 0.176582 | + | 0.153010i | ||||
\(58\) | 33.4144 | − | 38.5623i | 0.576111 | − | 0.664867i | ||||
\(59\) | 56.4505 | − | 16.5754i | 0.956788 | − | 0.280938i | 0.234178 | − | 0.972194i | \(-0.424760\pi\) |
0.722610 | + | 0.691256i | \(0.242942\pi\) | |||||||
\(60\) | 18.9195 | − | 8.64027i | 0.315326 | − | 0.144004i | ||||
\(61\) | 45.9499 | + | 71.4994i | 0.753276 | + | 1.17212i | 0.980162 | + | 0.198200i | \(0.0635094\pi\) |
−0.226885 | + | 0.973922i | \(0.572854\pi\) | |||||||
\(62\) | 67.3850 | + | 19.7860i | 1.08686 | + | 0.319130i | ||||
\(63\) | 2.53894 | − | 0.365044i | 0.0403006 | − | 0.00579436i | ||||
\(64\) | −31.4475 | + | 68.8603i | −0.491367 | + | 1.07594i | ||||
\(65\) | −20.9043 | − | 3.00558i | −0.321604 | − | 0.0462397i | ||||
\(66\) | 38.9360 | − | 60.5856i | 0.589939 | − | 0.917963i | ||||
\(67\) | 48.6048 | − | 42.1163i | 0.725444 | − | 0.628601i | −0.211784 | − | 0.977316i | \(-0.567927\pi\) |
0.937229 | + | 0.348715i | \(0.113382\pi\) | |||||||
\(68\) | − | 55.5265i | − | 0.816566i | ||||||
\(69\) | −23.0010 | + | 32.5262i | −0.333348 | + | 0.471394i | ||||
\(70\) | −6.77891 | −0.0968416 | ||||||||
\(71\) | −63.4447 | − | 73.2190i | −0.893587 | − | 1.03125i | −0.999320 | − | 0.0368595i | \(-0.988265\pi\) |
0.105734 | − | 0.994394i | \(-0.466281\pi\) | |||||||
\(72\) | −2.82181 | − | 1.81346i | −0.0391917 | − | 0.0251870i | ||||
\(73\) | −9.77406 | + | 67.9801i | −0.133891 | + | 0.931234i | 0.806523 | + | 0.591203i | \(0.201347\pi\) |
−0.940414 | + | 0.340031i | \(0.889562\pi\) | |||||||
\(74\) | −116.695 | − | 53.2929i | −1.57696 | − | 0.720174i | ||||
\(75\) | −4.31475 | − | 30.0098i | −0.0575300 | − | 0.400130i | ||||
\(76\) | −9.50166 | + | 32.3597i | −0.125022 | + | 0.425785i | ||||
\(77\) | −10.3277 | + | 6.63720i | −0.134126 | + | 0.0861974i | ||||
\(78\) | 16.0729 | + | 35.1948i | 0.206063 | + | 0.451215i | ||||
\(79\) | −36.1212 | − | 123.018i | −0.457231 | − | 1.55719i | −0.789347 | − | 0.613947i | \(-0.789581\pi\) |
0.332116 | − | 0.943238i | \(-0.392237\pi\) | |||||||
\(80\) | −29.6018 | − | 25.6501i | −0.370022 | − | 0.320626i | ||||
\(81\) | −5.89375 | + | 6.80175i | −0.0727623 | + | 0.0839722i | ||||
\(82\) | −155.098 | + | 45.5408i | −1.89143 | + | 0.555375i | ||||
\(83\) | 112.277 | − | 51.2752i | 1.35274 | − | 0.617774i | 0.398594 | − | 0.917128i | \(-0.369498\pi\) |
0.954142 | + | 0.299354i | \(0.0967711\pi\) | |||||||
\(84\) | 3.51174 | + | 5.46437i | 0.0418064 | + | 0.0650520i | ||||
\(85\) | 33.2560 | + | 9.76483i | 0.391247 | + | 0.114880i | ||||
\(86\) | −2.28416 | + | 0.328413i | −0.0265600 | + | 0.00381876i | ||||
\(87\) | 12.6779 | − | 27.7608i | 0.145723 | − | 0.319089i | ||||
\(88\) | 15.8905 | + | 2.28471i | 0.180574 | + | 0.0259626i | ||||
\(89\) | 75.4594 | − | 117.417i | 0.847858 | − | 1.31929i | −0.0981567 | − | 0.995171i | \(-0.531295\pi\) |
0.946015 | − | 0.324123i | \(-0.105069\pi\) | |||||||
\(90\) | 17.9757 | − | 15.5760i | 0.199730 | − | 0.173067i | ||||
\(91\) | − | 6.59548i | − | 0.0724778i | ||||||
\(92\) | −99.1195 | − | 18.7658i | −1.07739 | − | 0.203977i | ||||
\(93\) | 42.0051 | 0.451668 | ||||||||
\(94\) | −146.820 | − | 169.439i | −1.56192 | − | 1.80255i | ||||
\(95\) | −17.7099 | − | 11.3815i | −0.186420 | − | 0.119805i | ||||
\(96\) | −11.3148 | + | 78.6959i | −0.117862 | + | 0.819749i | ||||
\(97\) | 69.0088 | + | 31.5153i | 0.711431 | + | 0.324900i | 0.738050 | − | 0.674746i | \(-0.235747\pi\) |
−0.0266189 | + | 0.999646i | \(0.508474\pi\) | |||||||
\(98\) | 19.8929 | + | 138.358i | 0.202989 | + | 1.41182i | ||||
\(99\) | 12.1356 | − | 41.3299i | 0.122581 | − | 0.417474i | ||||
\(100\) | 64.5878 | − | 41.5080i | 0.645878 | − | 0.415080i | ||||
\(101\) | 14.7084 | + | 32.2069i | 0.145628 | + | 0.318880i | 0.968364 | − | 0.249544i | \(-0.0802806\pi\) |
−0.822736 | + | 0.568424i | \(0.807553\pi\) | |||||||
\(102\) | −17.8896 | − | 60.9262i | −0.175388 | − | 0.597316i | ||||
\(103\) | 54.5575 | + | 47.2744i | 0.529685 | + | 0.458974i | 0.878176 | − | 0.478338i | \(-0.158760\pi\) |
−0.348491 | + | 0.937312i | \(0.613306\pi\) | |||||||
\(104\) | −5.64807 | + | 6.51821i | −0.0543083 | + | 0.0626751i | ||||
\(105\) | −3.89030 | + | 1.14229i | −0.0370504 | + | 0.0108790i | ||||
\(106\) | −31.1357 | + | 14.2192i | −0.293733 | + | 0.134143i | ||||
\(107\) | 74.3782 | + | 115.735i | 0.695123 | + | 1.08163i | 0.991941 | + | 0.126699i | \(0.0404381\pi\) |
−0.296818 | + | 0.954934i | \(0.595926\pi\) | |||||||
\(108\) | −21.8677 | − | 6.42092i | −0.202478 | − | 0.0594530i | ||||
\(109\) | −111.760 | + | 16.0687i | −1.02532 | + | 0.147419i | −0.634400 | − | 0.773005i | \(-0.718753\pi\) |
−0.390922 | + | 0.920424i | \(0.627844\pi\) | |||||||
\(110\) | −47.2900 | + | 103.551i | −0.429909 | + | 0.941370i | ||||
\(111\) | −75.9494 | − | 10.9199i | −0.684229 | − | 0.0983773i | ||||
\(112\) | 6.61329 | − | 10.2905i | 0.0590472 | − | 0.0918793i | ||||
\(113\) | 84.1728 | − | 72.9361i | 0.744892 | − | 0.645452i | −0.197370 | − | 0.980329i | \(-0.563240\pi\) |
0.942262 | + | 0.334877i | \(0.108695\pi\) | |||||||
\(114\) | 38.5678i | 0.338314i | ||||||||
\(115\) | 28.6703 | − | 56.0646i | 0.249307 | − | 0.487518i | ||||
\(116\) | 77.2829 | 0.666232 | ||||||||
\(117\) | 15.1545 | + | 17.4892i | 0.129526 | + | 0.149481i | ||||
\(118\) | 143.329 | + | 92.1117i | 1.21465 | + | 0.780607i | ||||
\(119\) | −1.54045 | + | 10.7140i | −0.0129449 | + | 0.0900339i | ||||
\(120\) | 4.82293 | + | 2.20256i | 0.0401911 | + | 0.0183547i | ||||
\(121\) | 12.1194 | + | 84.2926i | 0.100161 | + | 0.696633i | ||||
\(122\) | −69.3414 | + | 236.155i | −0.568372 | + | 1.93570i | ||||
\(123\) | −81.3338 | + | 52.2700i | −0.661250 | + | 0.424960i | ||||
\(124\) | 44.1878 | + | 96.7578i | 0.356353 | + | 0.780305i | ||||
\(125\) | 32.7850 | + | 111.656i | 0.262280 | + | 0.893245i | ||||
\(126\) | 5.61375 | + | 4.86435i | 0.0445536 | + | 0.0386059i | ||||
\(127\) | 131.118 | − | 151.318i | 1.03242 | − | 1.19148i | 0.0511833 | − | 0.998689i | \(-0.483701\pi\) |
0.981240 | − | 0.192791i | \(-0.0617538\pi\) | |||||||
\(128\) | −34.1698 | + | 10.0332i | −0.266952 | + | 0.0783841i | ||||
\(129\) | −1.25550 | + | 0.573367i | −0.00973255 | + | 0.00444471i | ||||
\(130\) | −33.0649 | − | 51.4499i | −0.254345 | − | 0.395769i | ||||
\(131\) | −24.1650 | − | 7.09549i | −0.184466 | − | 0.0541641i | 0.188195 | − | 0.982132i | \(-0.439736\pi\) |
−0.372661 | + | 0.927968i | \(0.621554\pi\) | |||||||
\(132\) | 107.969 | − | 15.5235i | 0.817944 | − | 0.117603i | ||||
\(133\) | 2.73112 | − | 5.98031i | 0.0205347 | − | 0.0449648i | ||||
\(134\) | 184.348 | + | 26.5052i | 1.37573 | + | 0.197800i | ||||
\(135\) | 7.69124 | − | 11.9678i | 0.0569722 | − | 0.0886504i | ||||
\(136\) | 10.6974 | − | 9.26936i | 0.0786574 | − | 0.0681571i | ||||
\(137\) | 152.155i | 1.11062i | 0.831642 | + | 0.555312i | \(0.187401\pi\) | ||||
−0.831642 | + | 0.555312i | \(0.812599\pi\) | |||||||
\(138\) | −114.804 | + | 11.3436i | −0.831916 | + | 0.0822002i | ||||
\(139\) | 125.829 | 0.905248 | 0.452624 | − | 0.891702i | \(-0.350488\pi\) | ||||
0.452624 | + | 0.891702i | \(0.350488\pi\) | |||||||
\(140\) | −6.72369 | − | 7.75955i | −0.0480263 | − | 0.0554254i | ||||
\(141\) | −112.809 | − | 72.4980i | −0.800064 | − | 0.514170i | ||||
\(142\) | 39.9279 | − | 277.705i | 0.281182 | − | 1.95567i | ||||
\(143\) | −100.749 | − | 46.0104i | −0.704536 | − | 0.321751i | ||||
\(144\) | 6.10809 | + | 42.4827i | 0.0424173 | + | 0.295019i | ||||
\(145\) | −13.5909 | + | 46.2863i | −0.0937302 | + | 0.319216i | ||||
\(146\) | −167.314 | + | 107.526i | −1.14599 | + | 0.736480i | ||||
\(147\) | 34.7305 | + | 76.0491i | 0.236262 | + | 0.517341i | ||||
\(148\) | −54.7422 | − | 186.435i | −0.369880 | − | 1.25970i | ||||
\(149\) | −89.4941 | − | 77.5471i | −0.600632 | − | 0.520450i | 0.300621 | − | 0.953744i | \(-0.402806\pi\) |
−0.901253 | + | 0.433293i | \(0.857351\pi\) | |||||||
\(150\) | 57.4956 | − | 66.3534i | 0.383304 | − | 0.442356i | ||||
\(151\) | −203.060 | + | 59.6239i | −1.34477 | + | 0.394860i | −0.873369 | − | 0.487059i | \(-0.838070\pi\) |
−0.471401 | + | 0.881919i | \(0.656252\pi\) | |||||||
\(152\) | −7.82039 | + | 3.57145i | −0.0514499 | + | 0.0234964i | ||||
\(153\) | −20.5330 | − | 31.9499i | −0.134202 | − | 0.208823i | ||||
\(154\) | −34.1113 | − | 10.0160i | −0.221502 | − | 0.0650387i | ||||
\(155\) | −65.7210 | + | 9.44926i | −0.424007 | + | 0.0609630i | ||||
\(156\) | −24.3441 | + | 53.3061i | −0.156052 | + | 0.341706i | ||||
\(157\) | −173.765 | − | 24.9836i | −1.10678 | − | 0.159131i | −0.435395 | − | 0.900239i | \(-0.643391\pi\) |
−0.671385 | + | 0.741108i | \(0.734300\pi\) | |||||||
\(158\) | 200.731 | − | 312.344i | 1.27045 | − | 1.97686i | ||||
\(159\) | −15.4722 | + | 13.4067i | −0.0973092 | + | 0.0843189i | ||||
\(160\) | − | 125.673i | − | 0.785454i | ||||||
\(161\) | 18.6048 | + | 6.37076i | 0.115558 | + | 0.0395699i | ||||
\(162\) | −26.0629 | −0.160882 | ||||||||
\(163\) | −145.264 | − | 167.644i | −0.891191 | − | 1.02849i | −0.999409 | − | 0.0343623i | \(-0.989060\pi\) |
0.108218 | − | 0.994127i | \(-0.465485\pi\) | |||||||
\(164\) | −205.963 | − | 132.364i | −1.25587 | − | 0.807099i | ||||
\(165\) | −9.68988 | + | 67.3946i | −0.0587265 | + | 0.408452i | ||||
\(166\) | 325.141 | + | 148.487i | 1.95868 | + | 0.894498i | ||||
\(167\) | −4.95824 | − | 34.4853i | −0.0296901 | − | 0.206499i | 0.969577 | − | 0.244788i | \(-0.0787184\pi\) |
−0.999267 | + | 0.0382889i | \(0.987809\pi\) | |||||||
\(168\) | −0.466499 | + | 1.58875i | −0.00277678 | + | 0.00945685i | ||||
\(169\) | −92.1142 | + | 59.1982i | −0.545054 | + | 0.350285i | ||||
\(170\) | 41.6956 | + | 91.3006i | 0.245268 | + | 0.537062i | ||||
\(171\) | 6.49893 | + | 22.1333i | 0.0380055 | + | 0.129435i | ||||
\(172\) | −2.64147 | − | 2.28885i | −0.0153574 | − | 0.0133073i | ||||
\(173\) | −48.0161 | + | 55.4136i | −0.277550 | + | 0.320310i | −0.877360 | − | 0.479833i | \(-0.840697\pi\) |
0.599810 | + | 0.800142i | \(0.295243\pi\) | |||||||
\(174\) | 84.7983 | − | 24.8990i | 0.487347 | − | 0.143098i | ||||
\(175\) | −13.6140 | + | 6.21729i | −0.0777942 | + | 0.0355274i | ||||
\(176\) | −111.057 | − | 172.808i | −0.631004 | − | 0.981861i | ||||
\(177\) | 97.7751 | + | 28.7094i | 0.552402 | + | 0.162200i | ||||
\(178\) | 400.075 | − | 57.5221i | 2.24761 | − | 0.323158i | ||||
\(179\) | 56.9706 | − | 124.748i | 0.318271 | − | 0.696917i | −0.681107 | − | 0.732184i | \(-0.738501\pi\) |
0.999378 | + | 0.0352673i | \(0.0112282\pi\) | |||||||
\(180\) | 35.6584 | + | 5.12691i | 0.198102 | + | 0.0284828i | ||||
\(181\) | −162.535 | + | 252.909i | −0.897982 | + | 1.39729i | 0.0196295 | + | 0.999807i | \(0.493751\pi\) |
−0.917611 | + | 0.397479i | \(0.869885\pi\) | |||||||
\(182\) | 14.4346 | − | 12.5076i | 0.0793109 | − | 0.0687233i | ||||
\(183\) | 147.210i | 0.804424i | ||||||||
\(184\) | −12.9313 | − | 22.2285i | −0.0702786 | − | 0.120807i | ||||
\(185\) | 121.287 | 0.655603 | ||||||||
\(186\) | 79.6583 | + | 91.9306i | 0.428271 | + | 0.494251i | ||||
\(187\) | 152.915 | + | 98.2726i | 0.817728 | + | 0.525522i | ||||
\(188\) | 48.3265 | − | 336.118i | 0.257056 | − | 1.78786i | ||||
\(189\) | 4.04131 | + | 1.84560i | 0.0213826 | + | 0.00976510i | ||||
\(190\) | −8.67601 | − | 60.3430i | −0.0456632 | − | 0.317595i | ||||
\(191\) | 7.79755 | − | 26.5560i | 0.0408249 | − | 0.139037i | −0.936559 | − | 0.350511i | \(-0.886008\pi\) |
0.977384 | + | 0.211474i | \(0.0678263\pi\) | |||||||
\(192\) | −110.304 | + | 70.8880i | −0.574500 | + | 0.369209i | ||||
\(193\) | −55.4373 | − | 121.391i | −0.287240 | − | 0.628967i | 0.709920 | − | 0.704282i | \(-0.248731\pi\) |
−0.997160 | + | 0.0753150i | \(0.976004\pi\) | |||||||
\(194\) | 61.8951 | + | 210.795i | 0.319047 | + | 1.08657i | ||||
\(195\) | −27.6450 | − | 23.9545i | −0.141769 | − | 0.122844i | ||||
\(196\) | −138.642 | + | 160.002i | −0.707358 | + | 0.816334i | ||||
\(197\) | 149.905 | − | 44.0160i | 0.760938 | − | 0.223432i | 0.121833 | − | 0.992551i | \(-0.461123\pi\) |
0.639106 | + | 0.769119i | \(0.279305\pi\) | |||||||
\(198\) | 113.467 | − | 51.8185i | 0.573064 | − | 0.261710i | ||||
\(199\) | −32.8050 | − | 51.0456i | −0.164849 | − | 0.256511i | 0.748995 | − | 0.662576i | \(-0.230537\pi\) |
−0.913844 | + | 0.406065i | \(0.866901\pi\) | |||||||
\(200\) | 18.7787 | + | 5.51393i | 0.0938935 | + | 0.0275696i | ||||
\(201\) | 110.260 | − | 15.8530i | 0.548558 | − | 0.0788707i | ||||
\(202\) | −42.5937 | + | 93.2673i | −0.210860 | + | 0.461719i | ||||
\(203\) | −14.9120 | − | 2.14402i | −0.0734582 | − | 0.0105617i | ||||
\(204\) | 51.9960 | − | 80.9073i | 0.254882 | − | 0.396605i | ||||
\(205\) | 115.496 | − | 100.078i | 0.563395 | − | 0.488185i | ||||
\(206\) | 209.053i | 1.01482i | ||||||||
\(207\) | −63.9727 | + | 25.8552i | −0.309047 | + | 0.124905i | ||||
\(208\) | 110.359 | 0.530570 | ||||||||
\(209\) | −72.2994 | − | 83.4379i | −0.345930 | − | 0.399224i | ||||
\(210\) | −9.87751 | − | 6.34789i | −0.0470358 | − | 0.0302281i | ||||
\(211\) | −1.27382 | + | 8.85960i | −0.00603705 | + | 0.0419886i | −0.992617 | − | 0.121289i | \(-0.961297\pi\) |
0.986580 | + | 0.163277i | \(0.0522065\pi\) | |||||||
\(212\) | −47.1581 | − | 21.5364i | −0.222444 | − | 0.101587i | ||||
\(213\) | −23.8812 | − | 166.098i | −0.112119 | − | 0.779801i | ||||
\(214\) | −112.242 | + | 382.260i | −0.524493 | + | 1.78626i | ||||
\(215\) | 1.83537 | − | 1.17952i | 0.00853659 | − | 0.00548613i | ||||
\(216\) | −2.41348 | − | 5.28477i | −0.0111735 | − | 0.0244665i | ||||
\(217\) | −5.84189 | − | 19.8956i | −0.0269211 | − | 0.0916849i | ||||
\(218\) | −247.109 | − | 214.121i | −1.13353 | − | 0.982206i | ||||
\(219\) | −77.8995 | + | 89.9008i | −0.355705 | + | 0.410506i | ||||
\(220\) | −165.435 | + | 48.5761i | −0.751978 | + | 0.220801i | ||||
\(221\) | −88.8300 | + | 40.5673i | −0.401946 | + | 0.183562i | ||||
\(222\) | −120.131 | − | 186.928i | −0.541132 | − | 0.842018i | ||||
\(223\) | −146.921 | − | 43.1400i | −0.658840 | − | 0.193453i | −0.0648124 | − | 0.997897i | \(-0.520645\pi\) |
−0.594028 | + | 0.804445i | \(0.702463\pi\) | |||||||
\(224\) | 38.8477 | − | 5.58546i | 0.173427 | − | 0.0249351i | ||||
\(225\) | 21.8147 | − | 47.7674i | 0.0969540 | − | 0.212300i | ||||
\(226\) | 319.250 | + | 45.9012i | 1.41261 | + | 0.203103i | ||||
\(227\) | −155.468 | + | 241.913i | −0.684882 | + | 1.06570i | 0.308543 | + | 0.951210i | \(0.400159\pi\) |
−0.993425 | + | 0.114487i | \(0.963478\pi\) | |||||||
\(228\) | −44.1470 | + | 38.2536i | −0.193627 | + | 0.167779i | ||||
\(229\) | 260.408i | 1.13715i | 0.822630 | + | 0.568577i | \(0.192506\pi\) | ||||
−0.822630 | + | 0.568577i | \(0.807494\pi\) | |||||||
\(230\) | 177.071 | − | 43.5740i | 0.769873 | − | 0.189452i | ||||
\(231\) | −21.2636 | −0.0920501 | ||||||||
\(232\) | 12.9013 | + | 14.8889i | 0.0556090 | + | 0.0641762i | ||||
\(233\) | −84.4992 | − | 54.3044i | −0.362658 | − | 0.233066i | 0.346604 | − | 0.938012i | \(-0.387335\pi\) |
−0.709261 | + | 0.704946i | \(0.750971\pi\) | |||||||
\(234\) | −9.53725 | + | 66.3331i | −0.0407575 | + | 0.283475i | ||||
\(235\) | 192.809 | + | 88.0531i | 0.820465 | + | 0.374694i | ||||
\(236\) | 36.7244 | + | 255.424i | 0.155612 | + | 1.08230i | ||||
\(237\) | 62.5638 | − | 213.073i | 0.263982 | − | 0.899041i | ||||
\(238\) | −26.3696 | + | 16.9467i | −0.110797 | + | 0.0712046i | ||||
\(239\) | 18.0220 | + | 39.4626i | 0.0754058 | + | 0.165116i | 0.943581 | − | 0.331143i | \(-0.107434\pi\) |
−0.868175 | + | 0.496258i | \(0.834707\pi\) | |||||||
\(240\) | −19.1134 | − | 65.0942i | −0.0796391 | − | 0.271226i | ||||
\(241\) | −337.253 | − | 292.232i | −1.39939 | − | 1.21258i | −0.947194 | − | 0.320662i | \(-0.896095\pi\) |
−0.452198 | − | 0.891918i | \(-0.649360\pi\) | |||||||
\(242\) | −161.496 | + | 186.376i | −0.667338 | + | 0.770150i | ||||
\(243\) | −14.9570 | + | 4.39178i | −0.0615515 | + | 0.0180732i | ||||
\(244\) | −339.094 | + | 154.859i | −1.38973 | + | 0.634667i | ||||
\(245\) | −71.4468 | − | 111.173i | −0.291619 | − | 0.453769i | ||||
\(246\) | −268.637 | − | 78.8789i | −1.09202 | − | 0.320646i | ||||
\(247\) | 58.7101 | − | 8.44123i | 0.237693 | − | 0.0341750i | ||||
\(248\) | −11.2643 | + | 24.6653i | −0.0454204 | + | 0.0994568i | ||||
\(249\) | 211.613 | + | 30.4254i | 0.849852 | + | 0.122190i | ||||
\(250\) | −182.191 | + | 283.495i | −0.728765 | + | 1.13398i | ||||
\(251\) | 225.612 | − | 195.494i | 0.898853 | − | 0.778861i | −0.0770584 | − | 0.997027i | \(-0.524553\pi\) |
0.975912 | + | 0.218166i | \(0.0700073\pi\) | |||||||
\(252\) | 11.2506i | 0.0446451i | ||||||||
\(253\) | 227.104 | − | 239.754i | 0.897645 | − | 0.947644i | ||||
\(254\) | 579.819 | 2.28275 | ||||||||
\(255\) | 39.3131 | + | 45.3697i | 0.154169 | + | 0.177921i | ||||
\(256\) | 167.978 | + | 107.953i | 0.656166 | + | 0.421692i | ||||
\(257\) | −38.1648 | + | 265.442i | −0.148501 | + | 1.03285i | 0.770173 | + | 0.637835i | \(0.220170\pi\) |
−0.918675 | + | 0.395015i | \(0.870739\pi\) | |||||||
\(258\) | −3.63577 | − | 1.66040i | −0.0140921 | − | 0.00643566i | ||||
\(259\) | 5.39053 | + | 37.4920i | 0.0208129 | + | 0.144757i | ||||
\(260\) | 26.0972 | − | 88.8788i | 0.100374 | − | 0.341841i | ||||
\(261\) | 44.4686 | − | 28.5782i | 0.170378 | − | 0.109495i | ||||
\(262\) | −30.2976 | − | 66.3424i | −0.115640 | − | 0.253215i | ||||
\(263\) | −5.72193 | − | 19.4871i | −0.0217564 | − | 0.0740955i | 0.947899 | − | 0.318570i | \(-0.103203\pi\) |
−0.969656 | + | 0.244475i | \(0.921384\pi\) | |||||||
\(264\) | 21.0145 | + | 18.2092i | 0.0796004 | + | 0.0689741i | ||||
\(265\) | 21.1918 | − | 24.4566i | 0.0799689 | − | 0.0922890i | ||||
\(266\) | 18.2675 | − | 5.36383i | 0.0686749 | − | 0.0201648i | ||||
\(267\) | 219.903 | − | 100.426i | 0.823606 | − | 0.376128i | ||||
\(268\) | 152.506 | + | 237.305i | 0.569054 | + | 0.885465i | ||||
\(269\) | 331.096 | + | 97.2184i | 1.23084 | + | 0.361407i | 0.831566 | − | 0.555425i | \(-0.187445\pi\) |
0.399272 | + | 0.916832i | \(0.369263\pi\) | |||||||
\(270\) | 40.7779 | − | 5.86297i | 0.151029 | − | 0.0217147i | ||||
\(271\) | 161.598 | − | 353.851i | 0.596303 | − | 1.30572i | −0.335254 | − | 0.942128i | \(-0.608822\pi\) |
0.931557 | − | 0.363594i | \(-0.118451\pi\) | |||||||
\(272\) | −179.272 | − | 25.7755i | −0.659089 | − | 0.0947627i | ||||
\(273\) | 6.17612 | − | 9.61023i | 0.0226231 | − | 0.0352023i | ||||
\(274\) | −333.001 | + | 288.547i | −1.21533 | + | 1.05309i | ||||
\(275\) | 251.331i | 0.913932i | ||||||||
\(276\) | −126.854 | − | 120.161i | −0.459615 | − | 0.435365i | ||||
\(277\) | −87.8143 | −0.317019 | −0.158510 | − | 0.987357i | \(-0.550669\pi\) | ||||
−0.158510 | + | 0.987357i | \(0.550669\pi\) | |||||||
\(278\) | 238.622 | + | 275.385i | 0.858354 | + | 0.990593i | ||||
\(279\) | 61.2054 | + | 39.3343i | 0.219374 | + | 0.140983i | ||||
\(280\) | 0.372485 | − | 2.59069i | 0.00133030 | − | 0.00925247i | ||||
\(281\) | −229.204 | − | 104.674i | −0.815671 | − | 0.372505i | −0.0365141 | − | 0.999333i | \(-0.511625\pi\) |
−0.779157 | + | 0.626829i | \(0.784353\pi\) | |||||||
\(282\) | −55.2646 | − | 384.374i | −0.195974 | − | 1.36303i | ||||
\(283\) | −41.1308 | + | 140.079i | −0.145338 | + | 0.494977i | −0.999695 | − | 0.0247106i | \(-0.992134\pi\) |
0.854356 | + | 0.519688i | \(0.173952\pi\) | |||||||
\(284\) | 357.480 | − | 229.738i | 1.25873 | − | 0.808938i | ||||
\(285\) | −15.1472 | − | 33.1678i | −0.0531481 | − | 0.116378i | ||||
\(286\) | −90.3630 | − | 307.748i | −0.315954 | − | 1.07604i | ||||
\(287\) | 36.0691 | + | 31.2541i | 0.125676 | + | 0.108899i | ||||
\(288\) | −90.1789 | + | 104.072i | −0.313121 | + | 0.361361i | ||||
\(289\) | −123.518 | + | 36.2683i | −0.427400 | + | 0.125496i | ||||
\(290\) | −127.074 | + | 58.0327i | −0.438186 | + | 0.200113i | ||||
\(291\) | 71.0409 | + | 110.542i | 0.244127 | + | 0.379869i | ||||
\(292\) | −289.032 | − | 84.8673i | −0.989834 | − | 0.290641i | ||||
\(293\) | 180.430 | − | 25.9419i | 0.615801 | − | 0.0885388i | 0.172646 | − | 0.984984i | \(-0.444768\pi\) |
0.443155 | + | 0.896445i | \(0.353859\pi\) | |||||||
\(294\) | −100.575 | + | 220.229i | −0.342092 | + | 0.749078i | ||||
\(295\) | −159.437 | − | 22.9236i | −0.540464 | − | 0.0777070i | ||||
\(296\) | 26.7790 | − | 41.6690i | 0.0904696 | − | 0.140774i | ||||
\(297\) | 56.3847 | − | 48.8576i | 0.189848 | − | 0.164504i | ||||
\(298\) | − | 342.923i | − | 1.15075i | ||||||
\(299\) | 42.3949 | + | 172.279i | 0.141789 | + | 0.576185i | ||||
\(300\) | 132.979 | 0.443264 | ||||||||
\(301\) | 0.446183 | + | 0.514923i | 0.00148234 | + | 0.00171071i | ||||
\(302\) | −515.573 | − | 331.339i | −1.70720 | − | 1.09715i | ||||
\(303\) | −8.72759 | + | 60.7017i | −0.0288039 | + | 0.200336i | ||||
\(304\) | 100.065 | + | 45.6983i | 0.329163 | + | 0.150323i | ||||
\(305\) | −33.1155 | − | 230.323i | −0.108575 | − | 0.755159i | ||||
\(306\) | 30.9856 | − | 105.527i | 0.101260 | − | 0.344861i | ||||
\(307\) | 301.838 | − | 193.979i | 0.983185 | − | 0.631855i | 0.0528644 | − | 0.998602i | \(-0.483165\pi\) |
0.930321 | + | 0.366747i | \(0.119529\pi\) | |||||||
\(308\) | −22.3685 | − | 48.9801i | −0.0726249 | − | 0.159026i | ||||
\(309\) | 35.2269 | + | 119.972i | 0.114003 | + | 0.388258i | ||||
\(310\) | −145.313 | − | 125.915i | −0.468753 | − | 0.406176i | ||||
\(311\) | −373.961 | + | 431.574i | −1.20245 | + | 1.38770i | −0.301672 | + | 0.953412i | \(0.597545\pi\) |
−0.900775 | + | 0.434286i | \(0.857001\pi\) | |||||||
\(312\) | −14.3335 | + | 4.20870i | −0.0459408 | + | 0.0134894i | ||||
\(313\) | 141.745 | − | 64.7326i | 0.452858 | − | 0.206814i | −0.175910 | − | 0.984406i | \(-0.556287\pi\) |
0.628768 | + | 0.777593i | \(0.283559\pi\) | |||||||
\(314\) | −274.848 | − | 427.672i | −0.875313 | − | 1.36201i | ||||
\(315\) | −6.73819 | − | 1.97851i | −0.0213911 | − | 0.00628099i | ||||
\(316\) | 556.623 | − | 80.0303i | 1.76146 | − | 0.253260i | ||||
\(317\) | 182.895 | − | 400.484i | 0.576955 | − | 1.26336i | −0.366055 | − | 0.930593i | \(-0.619292\pi\) |
0.943011 | − | 0.332763i | \(-0.107981\pi\) | |||||||
\(318\) | −58.6827 | − | 8.43729i | −0.184537 | − | 0.0265324i | ||||
\(319\) | −136.778 | + | 212.830i | −0.428770 | + | 0.667179i | ||||
\(320\) | 156.634 | − | 135.725i | 0.489483 | − | 0.424139i | ||||
\(321\) | 238.285i | 0.742322i | ||||||||
\(322\) | 21.3394 | + | 52.7992i | 0.0662713 | + | 0.163973i | ||||
\(323\) | −97.3432 | −0.301372 | ||||||||
\(324\) | −25.8506 | − | 29.8331i | −0.0797857 | − | 0.0920776i | ||||
\(325\) | −113.591 | − | 73.0005i | −0.349511 | − | 0.224617i | ||||
\(326\) | 91.4197 | − | 635.838i | 0.280428 | − | 1.95042i | ||||
\(327\) | −177.892 | − | 81.2406i | −0.544012 | − | 0.248442i | ||||
\(328\) | −8.88203 | − | 61.7759i | −0.0270794 | − | 0.188341i | ||||
\(329\) | −18.6495 | + | 63.5145i | −0.0566855 | + | 0.193053i | ||||
\(330\) | −165.873 | + | 106.600i | −0.502645 | + | 0.323030i | ||||
\(331\) | −109.190 | − | 239.093i | −0.329880 | − | 0.722336i | 0.669918 | − | 0.742435i | \(-0.266329\pi\) |
−0.999798 | + | 0.0200987i | \(0.993602\pi\) | |||||||
\(332\) | 152.525 | + | 519.452i | 0.459412 | + | 1.56462i | ||||
\(333\) | −100.440 | − | 87.0316i | −0.301621 | − | 0.261356i | ||||
\(334\) | 66.0704 | − | 76.2493i | 0.197815 | − | 0.228291i | ||||
\(335\) | −168.946 | + | 49.6071i | −0.504317 | + | 0.148081i | ||||
\(336\) | 19.2724 | − | 8.80139i | 0.0573582 | − | 0.0261946i | ||||
\(337\) | 231.670 | + | 360.485i | 0.687447 | + | 1.06969i | 0.993069 | + | 0.117535i | \(0.0374993\pi\) |
−0.305622 | + | 0.952153i | \(0.598864\pi\) | |||||||
\(338\) | −304.244 | − | 89.3340i | −0.900129 | − | 0.264302i | ||||
\(339\) | 190.946 | − | 27.4539i | 0.563263 | − | 0.0809850i | ||||
\(340\) | −63.1522 | + | 138.284i | −0.185742 | + | 0.406718i | ||||
\(341\) | −344.667 | − | 49.5557i | −1.01075 | − | 0.145325i | ||||
\(342\) | −36.1155 | + | 56.1969i | −0.105601 | + | 0.164318i | ||||
\(343\) | 62.8531 | − | 54.4625i | 0.183245 | − | 0.158783i | ||||
\(344\) | − | 0.890982i | − | 0.00259006i | ||||||
\(345\) | 94.2751 | − | 54.8440i | 0.273261 | − | 0.158968i | ||||
\(346\) | −212.333 | −0.613680 | ||||||||
\(347\) | 154.365 | + | 178.146i | 0.444855 | + | 0.513390i | 0.933248 | − | 0.359234i | \(-0.116962\pi\) |
−0.488392 | + | 0.872624i | \(0.662416\pi\) | |||||||
\(348\) | 112.608 | + | 72.3690i | 0.323587 | + | 0.207957i | ||||
\(349\) | −16.3941 | + | 114.024i | −0.0469745 | + | 0.326715i | 0.952761 | + | 0.303721i | \(0.0982290\pi\) |
−0.999736 | + | 0.0229943i | \(0.992680\pi\) | |||||||
\(350\) | −39.4244 | − | 18.0045i | −0.112641 | − | 0.0514415i | ||||
\(351\) | 5.70432 | + | 39.6744i | 0.0162516 | + | 0.113033i | ||||
\(352\) | 185.683 | − | 632.380i | 0.527510 | − | 1.79653i | ||||
\(353\) | 149.047 | − | 95.7870i | 0.422231 | − | 0.271351i | −0.312225 | − | 0.950008i | \(-0.601074\pi\) |
0.734455 | + | 0.678657i | \(0.237438\pi\) | |||||||
\(354\) | 122.588 | + | 268.431i | 0.346294 | + | 0.758279i | ||||
\(355\) | 74.7290 | + | 254.503i | 0.210504 | + | 0.716911i | ||||
\(356\) | 462.659 | + | 400.896i | 1.29960 | + | 1.12611i | ||||
\(357\) | −12.2774 | + | 14.1689i | −0.0343904 | + | 0.0396887i | ||||
\(358\) | 381.057 | − | 111.888i | 1.06441 | − | 0.312538i | ||||
\(359\) | −120.224 | + | 54.9043i | −0.334885 | + | 0.152937i | −0.575759 | − | 0.817620i | \(-0.695293\pi\) |
0.240874 | + | 0.970556i | \(0.422566\pi\) | |||||||
\(360\) | 4.96495 | + | 7.72561i | 0.0137915 | + | 0.0214600i | ||||
\(361\) | −289.647 | − | 85.0481i | −0.802347 | − | 0.235590i | ||||
\(362\) | −861.736 | + | 123.899i | −2.38049 | + | 0.342262i | ||||
\(363\) | −61.2739 | + | 134.171i | −0.168799 | + | 0.369617i | ||||
\(364\) | 28.6340 | + | 4.11694i | 0.0786647 | + | 0.0113103i | ||||
\(365\) | 101.658 | − | 158.182i | 0.278514 | − | 0.433376i | ||||
\(366\) | −322.177 | + | 279.168i | −0.880264 | + | 0.762753i | ||||
\(367\) | 136.353i | 0.371533i | 0.982594 | + | 0.185767i | \(0.0594769\pi\) | ||||
−0.982594 | + | 0.185767i | \(0.940523\pi\) | |||||||
\(368\) | −106.599 | + | 311.305i | −0.289670 | + | 0.845937i | ||||
\(369\) | −167.458 | −0.453814 | ||||||||
\(370\) | 230.007 | + | 265.443i | 0.621641 | + | 0.717412i | ||||
\(371\) | 8.50185 | + | 5.46381i | 0.0229160 | + | 0.0147272i | ||||
\(372\) | −26.2199 | + | 182.363i | −0.0704836 | + | 0.490224i | ||||
\(373\) | 192.825 | + | 88.0602i | 0.516957 | + | 0.236086i | 0.656769 | − | 0.754092i | \(-0.271923\pi\) |
−0.139812 | + | 0.990178i | \(0.544650\pi\) | |||||||
\(374\) | 74.9124 | + | 521.027i | 0.200301 | + | 1.39312i | ||||
\(375\) | −56.7854 | + | 193.393i | −0.151428 | + | 0.515715i | ||||
\(376\) | 72.8219 | − | 46.7998i | 0.193675 | − | 0.124468i | ||||
\(377\) | −56.4624 | − | 123.635i | −0.149768 | − | 0.327945i | ||||
\(378\) | 3.62471 | + | 12.3446i | 0.00958918 | + | 0.0326577i | ||||
\(379\) | 322.445 | + | 279.400i | 0.850779 | + | 0.737204i | 0.966661 | − | 0.256059i | \(-0.0824242\pi\) |
−0.115883 | + | 0.993263i | \(0.536970\pi\) | |||||||
\(380\) | 60.4668 | − | 69.7824i | 0.159123 | − | 0.183638i | ||||
\(381\) | 332.748 | − | 97.7035i | 0.873353 | − | 0.256440i | ||||
\(382\) | 72.9066 | − | 33.2953i | 0.190855 | − | 0.0871606i | ||||
\(383\) | −47.8290 | − | 74.4234i | −0.124880 | − | 0.194317i | 0.773184 | − | 0.634182i | \(-0.218663\pi\) |
−0.898064 | + | 0.439865i | \(0.855026\pi\) | |||||||
\(384\) | −59.1839 | − | 17.3780i | −0.154125 | − | 0.0452551i | ||||
\(385\) | 33.2689 | − | 4.78335i | 0.0864127 | − | 0.0124243i | ||||
\(386\) | 160.539 | − | 351.532i | 0.415905 | − | 0.910706i | ||||
\(387\) | −2.36629 | − | 0.340221i | −0.00611445 | − | 0.000879125i | ||||
\(388\) | −179.898 | + | 279.927i | −0.463654 | + | 0.721460i | ||||
\(389\) | 251.801 | − | 218.187i | 0.647304 | − | 0.560892i | −0.268119 | − | 0.963386i | \(-0.586402\pi\) |
0.915423 | + | 0.402494i | \(0.131857\pi\) | |||||||
\(390\) | − | 105.930i | − | 0.271615i | ||||||
\(391\) | −28.6308 | − | 289.761i | −0.0732245 | − | 0.741077i | ||||
\(392\) | −53.9693 | −0.137677 | ||||||||
\(393\) | −28.5664 | − | 32.9673i | −0.0726880 | − | 0.0838864i | ||||
\(394\) | 380.610 | + | 244.603i | 0.966016 | + | 0.620821i | ||||
\(395\) | −49.9553 | + | 347.447i | −0.126469 | + | 0.879612i | ||||
\(396\) | 171.857 | + | 78.4844i | 0.433982 | + | 0.198193i | ||||
\(397\) | −7.83946 | − | 54.5247i | −0.0197468 | − | 0.137342i | 0.977563 | − | 0.210643i | \(-0.0675557\pi\) |
−0.997310 | + | 0.0733011i | \(0.976647\pi\) | |||||||
\(398\) | 49.5050 | − | 168.598i | 0.124384 | − | 0.423614i | ||||
\(399\) | 9.57956 | − | 6.15641i | 0.0240089 | − | 0.0154296i | ||||
\(400\) | −104.031 | − | 227.795i | −0.260077 | − | 0.569489i | ||||
\(401\) | −3.28237 | − | 11.1787i | −0.00818547 | − | 0.0278772i | 0.955299 | − | 0.295641i | \(-0.0955333\pi\) |
−0.963484 | + | 0.267764i | \(0.913715\pi\) | |||||||
\(402\) | 243.792 | + | 211.247i | 0.606448 | + | 0.525490i | ||||
\(403\) | 122.507 | − | 141.381i | 0.303989 | − | 0.350822i | ||||
\(404\) | −149.006 | + | 43.7521i | −0.368827 | + | 0.108297i | ||||
\(405\) | 22.4137 | − | 10.2360i | 0.0553425 | − | 0.0252741i | ||||
\(406\) | −23.5867 | − | 36.7017i | −0.0580954 | − | 0.0903983i | ||||
\(407\) | 610.310 | + | 179.203i | 1.49953 | + | 0.440302i | ||||
\(408\) | 24.2671 | − | 3.48909i | 0.0594782 | − | 0.00855168i | ||||
\(409\) | 12.1546 | − | 26.6148i | 0.0297178 | − | 0.0650730i | −0.894191 | − | 0.447686i | \(-0.852248\pi\) |
0.923909 | + | 0.382613i | \(0.124976\pi\) | |||||||
\(410\) | 438.052 | + | 62.9824i | 1.06842 | + | 0.153616i | ||||
\(411\) | −142.481 | + | 221.705i | −0.346669 | + | 0.539427i | ||||
\(412\) | −239.295 | + | 207.350i | −0.580812 | + | 0.503277i | ||||
\(413\) | − | 50.3037i | − | 0.121801i | ||||||
\(414\) | −177.903 | − | 90.9762i | −0.429718 | − | 0.219749i | ||||
\(415\) | −337.933 | −0.814298 | ||||||||
\(416\) | 231.876 | + | 267.599i | 0.557394 | + | 0.643267i | ||||
\(417\) | 183.345 | + | 117.829i | 0.439677 | + | 0.282563i | ||||
\(418\) | 45.5004 | − | 316.463i | 0.108853 | − | 0.757087i | ||||
\(419\) | −63.1631 | − | 28.8456i | −0.150747 | − | 0.0688440i | 0.338613 | − | 0.940926i | \(-0.390042\pi\) |
−0.489360 | + | 0.872082i | \(0.662770\pi\) | |||||||
\(420\) | −2.53087 | − | 17.6026i | −0.00602587 | − | 0.0419109i | ||||
\(421\) | −36.5955 | + | 124.633i | −0.0869253 | + | 0.296040i | −0.991469 | − | 0.130340i | \(-0.958393\pi\) |
0.904544 | + | 0.426380i | \(0.140211\pi\) | |||||||
\(422\) | −21.8054 | + | 14.0135i | −0.0516716 | + | 0.0332073i | ||||
\(423\) | −96.4850 | − | 211.273i | −0.228097 | − | 0.499463i | ||||
\(424\) | −3.72330 | − | 12.6804i | −0.00878137 | − | 0.0299066i | ||||
\(425\) | 167.473 | + | 145.116i | 0.394054 | + | 0.341450i | ||||
\(426\) | 318.226 | − | 367.252i | 0.747009 | − | 0.862095i | ||||
\(427\) | 69.7255 | − | 20.4732i | 0.163292 | − | 0.0479467i | ||||
\(428\) | −548.884 | + | 250.667i | −1.28244 | + | 0.585671i | ||||
\(429\) | −103.715 | − | 161.384i | −0.241761 | − | 0.376187i | ||||
\(430\) | 6.06203 | + | 1.77997i | 0.0140977 | + | 0.00413947i | ||||
\(431\) | −466.243 | + | 67.0356i | −1.08177 | + | 0.155535i | −0.660073 | − | 0.751202i | \(-0.729475\pi\) |
−0.421697 | + | 0.906737i | \(0.638565\pi\) | |||||||
\(432\) | −30.8815 | + | 67.6211i | −0.0714850 | + | 0.156530i | ||||
\(433\) | −696.818 | − | 100.187i | −1.60928 | − | 0.231379i | −0.721758 | − | 0.692145i | \(-0.756666\pi\) |
−0.887522 | + | 0.460766i | \(0.847575\pi\) | |||||||
\(434\) | 32.4642 | − | 50.5153i | 0.0748023 | − | 0.116395i | ||||
\(435\) | −63.1465 | + | 54.7168i | −0.145164 | + | 0.125786i | ||||
\(436\) | − | 495.232i | − | 1.13585i | ||||||
\(437\) | −32.8983 | + | 173.766i | −0.0752822 | + | 0.397634i | ||||
\(438\) | −344.481 | −0.786487 | ||||||||
\(439\) | −537.557 | − | 620.374i | −1.22450 | − | 1.41315i | −0.880408 | − | 0.474217i | \(-0.842731\pi\) |
−0.344095 | − | 0.938935i | \(-0.611814\pi\) | |||||||
\(440\) | −36.9754 | − | 23.7627i | −0.0840351 | − | 0.0540060i | ||||
\(441\) | −20.6082 | + | 143.333i | −0.0467305 | + | 0.325018i | ||||
\(442\) | −257.241 | − | 117.478i | −0.581992 | − | 0.265787i | ||||
\(443\) | 53.7758 | + | 374.019i | 0.121390 | + | 0.844286i | 0.955984 | + | 0.293420i | \(0.0947935\pi\) |
−0.834594 | + | 0.550866i | \(0.814297\pi\) | |||||||
\(444\) | 94.8163 | − | 322.915i | 0.213550 | − | 0.727285i | ||||
\(445\) | −321.468 | + | 206.595i | −0.722399 | + | 0.464258i | ||||
\(446\) | −184.207 | − | 403.356i | −0.413019 | − | 0.904386i | ||||
\(447\) | −57.7849 | − | 196.797i | −0.129273 | − | 0.440262i | ||||
\(448\) | 48.9165 | + | 42.3864i | 0.109189 | + | 0.0946125i | ||||
\(449\) | 524.556 | − | 605.370i | 1.16828 | − | 1.34826i | 0.242519 | − | 0.970147i | \(-0.422026\pi\) |
0.925758 | − | 0.378117i | \(-0.123428\pi\) | |||||||
\(450\) | 145.911 | − | 42.8433i | 0.324247 | − | 0.0952074i | ||||
\(451\) | 729.039 | − | 332.941i | 1.61649 | − | 0.738228i | ||||
\(452\) | 264.108 | + | 410.959i | 0.584309 | + | 0.909202i | ||||
\(453\) | −351.711 | − | 103.272i | −0.776404 | − | 0.227973i | ||||
\(454\) | −824.270 | + | 118.512i | −1.81557 | + | 0.261040i | ||||
\(455\) | −7.50126 | + | 16.4255i | −0.0164863 | + | 0.0360999i | ||||
\(456\) | −14.7394 | − | 2.11921i | −0.0323233 | − | 0.00464739i | ||||
\(457\) | 386.985 | − | 602.160i | 0.846793 | − | 1.31764i | −0.0997346 | − | 0.995014i | \(-0.531799\pi\) |
0.946528 | − | 0.322622i | \(-0.104564\pi\) | |||||||
\(458\) | −569.918 | + | 493.837i | −1.24436 | + | 1.07825i | ||||
\(459\) | − | 65.7815i | − | 0.143315i | ||||||
\(460\) | 225.506 | + | 159.467i | 0.490229 | + | 0.346667i | ||||
\(461\) | 117.233 | 0.254302 | 0.127151 | − | 0.991883i | \(-0.459417\pi\) | ||||
0.127151 | + | 0.991883i | \(0.459417\pi\) | |||||||
\(462\) | −40.3242 | − | 46.5366i | −0.0872818 | − | 0.100729i | ||||
\(463\) | 293.087 | + | 188.356i | 0.633018 | + | 0.406816i | 0.817426 | − | 0.576034i | \(-0.195400\pi\) |
−0.184408 | + | 0.982850i | \(0.559037\pi\) | |||||||
\(464\) | 35.8748 | − | 249.515i | 0.0773164 | − | 0.537747i | ||||
\(465\) | −104.610 | − | 47.7739i | −0.224968 | − | 0.102739i | ||||
\(466\) | −41.3958 | − | 287.914i | −0.0888321 | − | 0.617841i | ||||
\(467\) | 62.2036 | − | 211.846i | 0.133198 | − | 0.453631i | −0.865700 | − | 0.500563i | \(-0.833126\pi\) |
0.998898 | + | 0.0469320i | \(0.0149444\pi\) | |||||||
\(468\) | −85.3883 | + | 54.8757i | −0.182454 | + | 0.117256i | ||||
\(469\) | −22.8432 | − | 50.0197i | −0.0487062 | − | 0.106652i | ||||
\(470\) | 172.934 | + | 588.958i | 0.367944 | + | 1.25310i | ||||
\(471\) | −229.796 | − | 199.120i | −0.487890 | − | 0.422759i | ||||
\(472\) | −43.0778 | + | 49.7144i | −0.0912666 | + | 0.105327i | ||||
\(473\) | 10.9783 | − | 3.22351i | 0.0232098 | − | 0.00681503i | ||||
\(474\) | 584.968 | − | 267.146i | 1.23411 | − | 0.563599i | ||||
\(475\) | −72.7675 | − | 113.229i | −0.153195 | − | 0.238376i | ||||
\(476\) | −45.5529 | − | 13.3756i | −0.0956995 | − | 0.0280999i | ||||
\(477\) | −35.0986 | + | 5.04642i | −0.0735821 | + | 0.0105795i | ||||
\(478\) | −52.1894 | + | 114.279i | −0.109183 | + | 0.239077i | ||||
\(479\) | −267.088 | − | 38.4015i | −0.557595 | − | 0.0801701i | −0.142245 | − | 0.989832i | \(-0.545432\pi\) |
−0.415350 | + | 0.909661i | \(0.636341\pi\) | |||||||
\(480\) | 117.682 | − | 183.117i | 0.245171 | − | 0.381493i | ||||
\(481\) | −258.260 | + | 223.783i | −0.536923 | + | 0.465246i | ||||
\(482\) | − | 1292.29i | − | 2.68109i | ||||||
\(483\) | 21.1433 | + | 26.7047i | 0.0437750 | + | 0.0552892i | ||||
\(484\) | −373.518 | −0.771730 | ||||||||
\(485\) | −136.017 | − | 156.972i | −0.280448 | − | 0.323654i | ||||
\(486\) | −37.9761 | − | 24.4057i | −0.0781401 | − | 0.0502176i | ||||
\(487\) | −122.674 | + | 853.214i | −0.251897 | + | 1.75198i | 0.334909 | + | 0.942251i | \(0.391295\pi\) |
−0.586805 | + | 0.809728i | \(0.699615\pi\) | |||||||
\(488\) | −86.4410 | − | 39.4763i | −0.177133 | − | 0.0808941i | ||||
\(489\) | −54.6790 | − | 380.301i | −0.111818 | − | 0.777711i | ||||
\(490\) | 107.818 | − | 367.194i | 0.220036 | − | 0.749375i | ||||
\(491\) | 373.657 | − | 240.135i | 0.761013 | − | 0.489073i | −0.101670 | − | 0.994818i | \(-0.532419\pi\) |
0.862683 | + | 0.505745i | \(0.168782\pi\) | |||||||
\(492\) | −176.159 | − | 385.734i | −0.358047 | − | 0.784013i | ||||
\(493\) | 62.8440 | + | 214.027i | 0.127473 | + | 0.434132i | ||||
\(494\) | 129.812 | + | 112.482i | 0.262777 | + | 0.227697i | ||||
\(495\) | −77.2285 | + | 89.1264i | −0.156017 | + | 0.180053i | ||||
\(496\) | 332.903 | − | 97.7492i | 0.671176 | − | 0.197075i | ||||
\(497\) | −75.3505 | + | 34.4114i | −0.151611 | + | 0.0692383i | ||||
\(498\) | 334.715 | + | 520.826i | 0.672118 | + | 1.04584i | ||||
\(499\) | 312.089 | + | 91.6375i | 0.625428 | + | 0.183642i | 0.579064 | − | 0.815282i | \(-0.303418\pi\) |
0.0463644 | + | 0.998925i | \(0.485236\pi\) | |||||||
\(500\) | −505.213 | + | 72.6386i | −1.01043 | + | 0.145277i | ||||
\(501\) | 25.0680 | − | 54.8914i | 0.0500360 | − | 0.109564i | ||||
\(502\) | 855.700 | + | 123.031i | 1.70458 | + | 0.245082i | ||||
\(503\) | 230.636 | − | 358.876i | 0.458521 | − | 0.713472i | −0.532610 | − | 0.846361i | \(-0.678789\pi\) |
0.991131 | + | 0.132888i | \(0.0424252\pi\) | |||||||
\(504\) | −2.16747 | + | 1.87812i | −0.00430053 | + | 0.00372643i | ||||
\(505\) | − | 96.9369i | − | 0.191954i | ||||||
\(506\) | 955.395 | + | 42.3624i | 1.88813 | + | 0.0837201i | ||||
\(507\) | −189.653 | −0.374069 | ||||||||
\(508\) | 575.095 | + | 663.696i | 1.13208 | + | 1.30649i | ||||
\(509\) | −225.058 | − | 144.636i | −0.442158 | − | 0.284158i | 0.300559 | − | 0.953763i | \(-0.402827\pi\) |
−0.742717 | + | 0.669606i | \(0.766463\pi\) | |||||||
\(510\) | −24.7411 | + | 172.078i | −0.0485119 | + | 0.337408i | ||||
\(511\) | 53.4152 | + | 24.3939i | 0.104531 | + | 0.0477376i | ||||
\(512\) | 102.564 | + | 713.352i | 0.200321 | + | 1.39327i | ||||
\(513\) | −11.2565 | + | 38.3361i | −0.0219425 | + | 0.0747292i | ||||
\(514\) | −653.311 | + | 419.858i | −1.27103 | + | 0.816844i | ||||
\(515\) | −82.1041 | − | 179.783i | −0.159425 | − | 0.349093i | ||||
\(516\) | −1.70556 | − | 5.80859i | −0.00330534 | − | 0.0112570i | ||||
\(517\) | 840.110 | + | 727.959i | 1.62497 | + | 1.40804i | ||||
\(518\) | −71.8307 | + | 82.8971i | −0.138669 | + | 0.160033i | ||||
\(519\) | −121.854 | + | 35.7796i | −0.234787 | + | 0.0689395i | ||||
\(520\) | 21.4794 | − | 9.80932i | 0.0413066 | − | 0.0188641i | ||||
\(521\) | 190.231 | + | 296.006i | 0.365127 | + | 0.568149i | 0.974403 | − | 0.224810i | \(-0.0721760\pi\) |
−0.609275 | + | 0.792959i | \(0.708540\pi\) | |||||||
\(522\) | 146.875 | + | 43.1264i | 0.281370 | + | 0.0826176i | ||||
\(523\) | −595.088 | + | 85.5608i | −1.13784 | + | 0.163596i | −0.685377 | − | 0.728189i | \(-0.740362\pi\) |
−0.452459 | + | 0.891785i | \(0.649453\pi\) | |||||||
\(524\) | 45.8887 | − | 100.482i | 0.0875739 | − | 0.191760i | ||||
\(525\) | −25.6588 | − | 3.68918i | −0.0488740 | − | 0.00702701i | ||||
\(526\) | 31.7976 | − | 49.4780i | 0.0604517 | − | 0.0940647i | ||||
\(527\) | −232.029 | + | 201.054i | −0.440282 | + | 0.381507i | ||||
\(528\) | − | 355.792i | − | 0.673849i | ||||||
\(529\) | −526.924 | − | 46.8199i | −0.996076 | − | 0.0885063i | ||||
\(530\) | 93.7126 | 0.176816 | ||||||||
\(531\) | 115.584 | + | 133.391i | 0.217671 | + | 0.251206i | ||||
\(532\) | 24.2585 | + | 15.5900i | 0.0455986 | + | 0.0293045i | ||||
\(533\) | −61.2781 | + | 426.199i | −0.114968 | + | 0.799622i | ||||
\(534\) | 636.811 | + | 290.822i | 1.19253 | + | 0.544611i | ||||
\(535\) | −53.6034 | − | 372.820i | −0.100193 | − | 0.696860i | ||||
\(536\) | −20.2589 | + | 68.9956i | −0.0377965 | + | 0.128723i | ||||
\(537\) | 199.828 | − | 128.422i | 0.372119 | − | 0.239146i | ||||
\(538\) | 415.120 | + | 908.986i | 0.771599 | + | 1.68957i | ||||
\(539\) | −195.257 | − | 664.984i | −0.362258 | − | 1.23374i | ||||
\(540\) | 47.1568 | + | 40.8616i | 0.0873274 | + | 0.0756696i | ||||
\(541\) | 74.0082 | − | 85.4100i | 0.136799 | − | 0.157874i | −0.683216 | − | 0.730216i | \(-0.739419\pi\) |
0.820015 | + | 0.572342i | \(0.193965\pi\) | |||||||
\(542\) | 1080.88 | − | 317.374i | 1.99424 | − | 0.585561i | ||||
\(543\) | −473.657 | + | 216.312i | −0.872296 | + | 0.398364i | ||||
\(544\) | −314.171 | − | 488.859i | −0.577519 | − | 0.898638i | ||||
\(545\) | 296.605 | + | 87.0910i | 0.544229 | + | 0.159800i | ||||
\(546\) | 32.7449 | − | 4.70801i | 0.0599723 | − | 0.00862272i | ||||
\(547\) | −339.801 | + | 744.061i | −0.621209 | + | 1.36026i | 0.293428 | + | 0.955981i | \(0.405204\pi\) |
−0.914637 | + | 0.404276i | \(0.867523\pi\) | |||||||
\(548\) | −660.576 | − | 94.9765i | −1.20543 | − | 0.173315i | ||||
\(549\) | −137.850 | + | 214.498i | −0.251092 | + | 0.390707i | ||||
\(550\) | −550.053 | + | 476.624i | −1.00010 | + | 0.866588i | ||||
\(551\) | − | 135.484i | − | 0.245888i | ||||||
\(552\) | 1.97305 | − | 44.4980i | 0.00357437 | − | 0.0806124i | ||||
\(553\) | −109.623 | −0.198232 | ||||||||
\(554\) | −166.531 | − | 192.187i | −0.300597 | − | 0.346907i | ||||
\(555\) | 176.726 | + | 113.575i | 0.318425 | + | 0.204639i | ||||
\(556\) | −78.5436 | + | 546.283i | −0.141266 | + | 0.982523i | ||||
\(557\) | −776.631 | − | 354.675i | −1.39431 | − | 0.636760i | −0.430315 | − | 0.902679i | \(-0.641597\pi\) |
−0.963995 | + | 0.265919i | \(0.914325\pi\) | |||||||
\(558\) | 29.9842 | + | 208.545i | 0.0537352 | + | 0.373737i | ||||
\(559\) | −1.73181 | + | 5.89799i | −0.00309804 | + | 0.0105510i | ||||
\(560\) | −28.1735 | + | 18.1060i | −0.0503099 | + | 0.0323322i | ||||
\(561\) | 130.788 | + | 286.385i | 0.233133 | + | 0.510490i | ||||
\(562\) | −205.576 | − | 700.128i | −0.365794 | − | 1.24578i | ||||
\(563\) | 283.181 | + | 245.378i | 0.502986 | + | 0.435840i | 0.869031 | − | 0.494757i | \(-0.164743\pi\) |
−0.366045 | + | 0.930597i | \(0.619288\pi\) | |||||||
\(564\) | 385.163 | − | 444.502i | 0.682913 | − | 0.788124i | ||||
\(565\) | −292.578 | + | 85.9086i | −0.517837 | + | 0.152051i | ||||
\(566\) | −384.570 | + | 175.627i | −0.679453 | + | 0.310296i | ||||
\(567\) | 4.16031 | + | 6.47357i | 0.00733741 | + | 0.0114172i | ||||
\(568\) | 103.936 | + | 30.5184i | 0.182986 | + | 0.0537296i | ||||
\(569\) | −478.219 | + | 68.7575i | −0.840456 | + | 0.120839i | −0.549080 | − | 0.835770i | \(-0.685022\pi\) |
−0.291375 | + | 0.956609i | \(0.594113\pi\) | |||||||
\(570\) | 43.8644 | − | 96.0497i | 0.0769551 | − | 0.168508i | ||||
\(571\) | −26.3161 | − | 3.78369i | −0.0460878 | − | 0.00662643i | 0.119232 | − | 0.992866i | \(-0.461957\pi\) |
−0.165320 | + | 0.986240i | \(0.552866\pi\) | |||||||
\(572\) | 262.640 | − | 408.676i | 0.459161 | − | 0.714468i | ||||
\(573\) | 36.2293 | − | 31.3929i | 0.0632274 | − | 0.0547868i | ||||
\(574\) | 138.209i | 0.240783i | ||||||||
\(575\) | 315.644 | − | 249.910i | 0.548946 | − | 0.434626i | ||||
\(576\) | −227.104 | −0.394278 | ||||||||
\(577\) | 647.681 | + | 747.464i | 1.12250 | + | 1.29543i | 0.950635 | + | 0.310311i | \(0.100433\pi\) |
0.171863 | + | 0.985121i | \(0.445021\pi\) | |||||||
\(578\) | −313.615 | − | 201.548i | −0.542587 | − | 0.348699i | ||||
\(579\) | 32.8950 | − | 228.790i | 0.0568135 | − | 0.395147i | ||||
\(580\) | −192.466 | − | 87.8965i | −0.331839 | − | 0.151546i | ||||
\(581\) | −15.0193 | − | 104.462i | −0.0258508 | − | 0.179796i | ||||
\(582\) | −107.205 | + | 365.108i | −0.184202 | + | 0.627333i | ||||
\(583\) | 142.771 | − | 91.7535i | 0.244891 | − | 0.157382i | ||||
\(584\) | −31.8997 | − | 69.8505i | −0.0546227 | − | 0.119607i | ||||
\(585\) | −17.8499 | − | 60.7912i | −0.0305127 | − | 0.103917i | ||||
\(586\) | 398.941 | + | 345.684i | 0.680787 | + | 0.589905i | ||||
\(587\) | 334.354 | − | 385.865i | 0.569598 | − | 0.657351i | −0.395738 | − | 0.918364i | \(-0.629511\pi\) |
0.965335 | + | 0.261013i | \(0.0840565\pi\) | |||||||
\(588\) | −351.843 | + | 103.310i | −0.598372 | + | 0.175698i | ||||
\(589\) | 169.626 | − | 77.4654i | 0.287989 | − | 0.131520i | ||||
\(590\) | −252.186 | − | 392.409i | −0.427433 | − | 0.665099i | ||||
\(591\) | 259.643 | + | 76.2380i | 0.439328 | + | 0.128998i | ||||
\(592\) | −627.333 | + | 90.1969i | −1.05968 | + | 0.152360i | ||||
\(593\) | −203.227 | + | 445.005i | −0.342710 | + | 0.750430i | −0.999995 | − | 0.00321219i | \(-0.998978\pi\) |
0.657285 | + | 0.753642i | \(0.271705\pi\) | |||||||
\(594\) | 213.855 | + | 30.7478i | 0.360026 | + | 0.0517639i | ||||
\(595\) | 16.0218 | − | 24.9304i | 0.0269274 | − | 0.0418998i | ||||
\(596\) | 392.530 | − | 340.129i | 0.658608 | − | 0.570687i | ||||
\(597\) | − | 105.097i | − | 0.176043i | ||||||
\(598\) | −296.645 | + | 419.493i | −0.496063 | + | 0.701494i | ||||
\(599\) | −1110.24 | −1.85350 | −0.926748 | − | 0.375684i | \(-0.877408\pi\) | ||||
−0.926748 | + | 0.375684i | \(0.877408\pi\) | |||||||
\(600\) | 22.1990 | + | 25.6190i | 0.0369983 | + | 0.0426984i | ||||
\(601\) | −548.157 | − | 352.279i | −0.912075 | − | 0.586155i | −0.00172727 | − | 0.999999i | \(-0.500550\pi\) |
−0.910348 | + | 0.413843i | \(0.864186\pi\) | |||||||
\(602\) | −0.280798 | + | 1.95300i | −0.000466442 | + | 0.00324418i | ||||
\(603\) | 175.504 | + | 80.1502i | 0.291052 | + | 0.132919i | ||||
\(604\) | −132.103 | − | 918.795i | −0.218713 | − | 1.52118i | ||||
\(605\) | 65.6864 | − | 223.707i | 0.108573 | − | 0.369764i | ||||
\(606\) | −149.400 | + | 96.0136i | −0.246535 | + | 0.158438i | ||||
\(607\) | −155.937 | − | 341.454i | −0.256898 | − | 0.562527i | 0.736607 | − | 0.676321i | \(-0.236427\pi\) |
−0.993504 | + | 0.113794i | \(0.963700\pi\) | |||||||
\(608\) | 99.4387 | + | 338.657i | 0.163551 | + | 0.557002i | ||||
\(609\) | −19.7205 | − | 17.0879i | −0.0323818 | − | 0.0280590i | ||||
\(610\) | 441.276 | − | 509.260i | 0.723403 | − | 0.834852i | ||||
\(611\) | −573.021 | + | 168.254i | −0.937841 | + | 0.275375i | ||||
\(612\) | 151.526 | − | 69.1996i | 0.247592 | − | 0.113071i | ||||
\(613\) | 388.086 | + | 603.873i | 0.633093 | + | 0.985111i | 0.998526 | + | 0.0542738i | \(0.0172844\pi\) |
−0.365434 | + | 0.930837i | \(0.619079\pi\) | |||||||
\(614\) | 996.939 | + | 292.728i | 1.62368 | + | 0.476755i | ||||
\(615\) | 262.003 | − | 37.6704i | 0.426022 | − | 0.0612527i | ||||
\(616\) | 5.70213 | − | 12.4859i | 0.00925670 | − | 0.0202693i | ||||
\(617\) | 604.408 | + | 86.9008i | 0.979592 | + | 0.140844i | 0.613466 | − | 0.789721i | \(-0.289775\pi\) |
0.366126 | + | 0.930565i | \(0.380684\pi\) | |||||||
\(618\) | −195.761 | + | 304.610i | −0.316765 | + | 0.492897i | ||||
\(619\) | 613.035 | − | 531.198i | 0.990364 | − | 0.858155i | 0.000474794 | − | 1.00000i | \(-0.499849\pi\) |
0.989889 | + | 0.141845i | \(0.0453034\pi\) | |||||||
\(620\) | − | 291.223i | − | 0.469715i | ||||||
\(621\) | −117.426 | − | 22.2316i | −0.189091 | − | 0.0357997i | ||||
\(622\) | −1653.70 | −2.65869 | ||||||||
\(623\) | −78.1498 | − | 90.1897i | −0.125441 | − | 0.144767i | ||||
\(624\) | 160.803 | + | 103.342i | 0.257697 | + | 0.165612i | ||||
\(625\) | −16.9367 | + | 117.797i | −0.0270987 | + | 0.188476i | ||||
\(626\) | 410.475 | + | 187.458i | 0.655711 | + | 0.299453i | ||||
\(627\) | −27.2142 | − | 189.279i | −0.0434039 | − | 0.301881i | ||||
\(628\) | 216.930 | − | 738.796i | 0.345430 | − | 1.17643i | ||||
\(629\) | 471.798 | − | 303.206i | 0.750076 | − | 0.482044i | ||||
\(630\) | −8.44819 | − | 18.4990i | −0.0134098 | − | 0.0293634i | ||||
\(631\) | 229.796 | + | 782.613i | 0.364177 | + | 1.24027i | 0.914248 | + | 0.405155i | \(0.132783\pi\) |
−0.550071 | + | 0.835118i | \(0.685399\pi\) | |||||||
\(632\) | 108.338 | + | 93.8758i | 0.171422 | + | 0.148538i | ||||
\(633\) | −10.1524 | + | 11.7164i | −0.0160385 | + | 0.0185094i | ||||
\(634\) | 1223.32 | − | 359.200i | 1.92953 | − | 0.566561i | ||||
\(635\) | −498.637 | + | 227.720i | −0.785254 | + | 0.358614i | ||||
\(636\) | −48.5468 | − | 75.5402i | −0.0763314 | − | 0.118774i | ||||
\(637\) | 357.258 | + | 104.900i | 0.560844 | + | 0.164679i | ||||
\(638\) | −725.176 | + | 104.265i | −1.13664 | + | 0.163424i | ||||
\(639\) | 120.740 | − | 264.383i | 0.188951 | − | 0.413744i | ||||
\(640\) | 96.5081 | + | 13.8758i | 0.150794 | + | 0.0216809i | ||||
\(641\) | −459.259 | + | 714.621i | −0.716473 | + | 1.11485i | 0.271829 | + | 0.962346i | \(0.412371\pi\) |
−0.988302 | + | 0.152508i | \(0.951265\pi\) | |||||||
\(642\) | −521.501 | + | 451.883i | −0.812307 | + | 0.703868i | ||||
\(643\) | − | 42.6111i | − | 0.0662693i | −0.999451 | − | 0.0331346i | \(-0.989451\pi\) | ||
0.999451 | − | 0.0331346i | \(-0.0105490\pi\) | |||||||
\(644\) | −39.2716 | + | 76.7954i | −0.0609808 | + | 0.119248i | ||||
\(645\) | 3.77882 | 0.00585864 | ||||||||
\(646\) | −184.601 | − | 213.041i | −0.285761 | − | 0.329785i | ||||
\(647\) | 388.242 | + | 249.508i | 0.600066 | + | 0.385639i | 0.805120 | − | 0.593112i | \(-0.202101\pi\) |
−0.205054 | + | 0.978751i | \(0.565737\pi\) | |||||||
\(648\) | 1.43209 | − | 9.96043i | 0.00221002 | − | 0.0153710i | ||||
\(649\) | −768.410 | − | 350.921i | −1.18399 | − | 0.540711i | ||||
\(650\) | −55.6477 | − | 387.038i | −0.0856118 | − | 0.595443i | ||||
\(651\) | 10.1184 | − | 34.4602i | 0.0155429 | − | 0.0529343i | ||||
\(652\) | 818.493 | − | 526.013i | 1.25536 | − | 0.806769i | ||||
\(653\) | 210.580 | + | 461.106i | 0.322481 | + | 0.706136i | 0.999557 | − | 0.0297783i | \(-0.00948012\pi\) |
−0.677075 | + | 0.735914i | \(0.736753\pi\) | |||||||
\(654\) | −159.554 | − | 543.391i | −0.243966 | − | 0.830873i | ||||
\(655\) | 52.1110 | + | 45.1544i | 0.0795587 | + | 0.0689380i | ||||
\(656\) | −522.958 | + | 603.525i | −0.797192 | + | 0.920008i | ||||
\(657\) | −197.692 | + | 58.0475i | −0.300900 | + | 0.0883523i | ||||
\(658\) | −174.372 | + | 79.6330i | −0.265003 | + | 0.121023i | ||||
\(659\) | 607.900 | + | 945.912i | 0.922459 | + | 1.43537i | 0.900129 | + | 0.435624i | \(0.143472\pi\) |
0.0223300 | + | 0.999751i | \(0.492892\pi\) | |||||||
\(660\) | −286.542 | − | 84.1363i | −0.434155 | − | 0.127479i | ||||
\(661\) | 1037.33 | − | 149.146i | 1.56934 | − | 0.225637i | 0.697921 | − | 0.716175i | \(-0.254109\pi\) |
0.871420 | + | 0.490538i | \(0.163200\pi\) | |||||||
\(662\) | 316.202 | − | 692.385i | 0.477646 | − | 1.04590i | ||||
\(663\) | −167.422 | − | 24.0716i | −0.252521 | − | 0.0363071i | ||||
\(664\) | −74.6128 | + | 116.100i | −0.112369 | + | 0.174849i | ||||
\(665\) | −13.6032 | + | 11.7873i | −0.0204560 | + | 0.0177252i | ||||
\(666\) | − | 384.865i | − | 0.577875i | ||||||
\(667\) | 403.295 | − | 39.8489i | 0.604640 | − | 0.0597434i | ||||
\(668\) | 152.812 | 0.228760 | ||||||||
\(669\) | −173.681 | − | 200.439i | −0.259613 | − | 0.299610i | ||||
\(670\) | −428.957 | − | 275.674i | −0.640234 | − | 0.411454i | ||||
\(671\) | 173.671 | − | 1207.91i | 0.258824 | − | 1.80016i | ||||
\(672\) | 61.8351 | + | 28.2392i | 0.0920166 | + | 0.0420226i | ||||
\(673\) | −32.5414 | − | 226.330i | −0.0483528 | − | 0.336301i | −0.999611 | − | 0.0279042i | \(-0.991117\pi\) |
0.951258 | − | 0.308397i | \(-0.0997924\pi\) | |||||||
\(674\) | −349.605 | + | 1190.64i | −0.518701 | + | 1.76653i | ||||
\(675\) | 76.5163 | − | 49.1740i | 0.113357 | − | 0.0728504i | ||||
\(676\) | −199.508 | − | 436.861i | −0.295130 | − | 0.646245i | ||||
\(677\) | −63.6998 | − | 216.942i | −0.0940913 | − | 0.320446i | 0.898975 | − | 0.438000i | \(-0.144313\pi\) |
−0.993066 | + | 0.117554i | \(0.962495\pi\) | |||||||
\(678\) | 422.194 | + | 365.833i | 0.622705 | + | 0.539577i | ||||
\(679\) | 42.4778 | − | 49.0220i | 0.0625594 | − | 0.0721974i | ||||
\(680\) | −37.1833 | + | 10.9180i | −0.0546814 | + | 0.0160559i | ||||
\(681\) | −453.063 | + | 206.907i | −0.665291 | + | 0.303828i | ||||
\(682\) | −545.170 | − | 848.301i | −0.799370 | − | 1.24384i | ||||
\(683\) | 625.039 | + | 183.528i | 0.915137 | + | 0.268709i | 0.705202 | − | 0.709007i | \(-0.250856\pi\) |
0.209936 | + | 0.977715i | \(0.432675\pi\) | |||||||
\(684\) | −100.148 | + | 14.3990i | −0.146415 | + | 0.0210512i | ||||
\(685\) | 173.052 | − | 378.930i | 0.252630 | − | 0.553182i | ||||
\(686\) | 238.389 | + | 34.2751i | 0.347505 | + | 0.0499637i | ||||
\(687\) | −243.851 | + | 379.439i | −0.354950 | + | 0.552313i | ||||
\(688\) | −8.61593 | + | 7.46575i | −0.0125232 | + | 0.0108514i | ||||
\(689\) | 91.1768i | 0.132332i | ||||||||
\(690\) | 298.812 | + | 102.321i | 0.433061 | + | 0.148291i | ||||
\(691\) | 1334.12 | 1.93071 | 0.965354 | − | 0.260943i | \(-0.0840336\pi\) | ||||
0.965354 | + | 0.260943i | \(0.0840336\pi\) | |||||||
\(692\) | −210.603 | − | 243.049i | −0.304340 | − | 0.351227i | ||||
\(693\) | −30.9830 | − | 19.9116i | −0.0447086 | − | 0.0287325i | ||||
\(694\) | −97.1470 | + | 675.672i | −0.139981 | + | 0.973591i | ||||
\(695\) | −313.367 | − | 143.110i | −0.450888 | − | 0.205914i | ||||
\(696\) | 4.85618 | + | 33.7755i | 0.00697727 | + | 0.0485280i | ||||
\(697\) | 199.087 | − | 678.027i | 0.285634 | − | 0.972779i | ||||
\(698\) | −280.637 | + | 180.354i | −0.402059 | + | 0.258387i | ||||
\(699\) | −72.2718 | − | 158.253i | −0.103393 | − | 0.226399i | ||||
\(700\) | −18.4942 | − | 62.9853i | −0.0264202 | − | 0.0899791i | ||||
\(701\) | −627.300 | − | 543.559i | −0.894865 | − | 0.775405i | 0.0803266 | − | 0.996769i | \(-0.474404\pi\) |
−0.975191 | + | 0.221364i | \(0.928949\pi\) | |||||||
\(702\) | −76.0121 | + | 87.7226i | −0.108279 | + | 0.124961i | ||||
\(703\) | −326.838 | + | 95.9683i | −0.464919 | + | 0.136513i | ||||
\(704\) | 988.714 | − | 451.531i | 1.40442 | − | 0.641379i | ||||
\(705\) | 198.487 | + | 308.852i | 0.281542 | + | 0.438087i | ||||
\(706\) | 492.288 | + | 144.549i | 0.697292 | + | 0.204743i | ||||
\(707\) | 29.9650 | − | 4.30832i | 0.0423833 | − | 0.00609381i | ||||
\(708\) | −185.672 | + | 406.566i | −0.262249 | + | 0.574245i | ||||
\(709\) | −285.731 | − | 41.0819i | −0.403006 | − | 0.0579435i | −0.0621683 | − | 0.998066i | \(-0.519802\pi\) |
−0.340838 | + | 0.940122i | \(0.610711\pi\) | |||||||
\(710\) | −415.280 | + | 646.188i | −0.584901 | + | 0.910124i | ||||
\(711\) | 290.686 | − | 251.881i | 0.408842 | − | 0.354263i | ||||
\(712\) | 156.057i | 0.219181i | ||||||||
\(713\) | 280.481 | + | 482.139i | 0.393382 | + | 0.676212i | ||||
\(714\) | −54.2921 | −0.0760394 | ||||||||
\(715\) | 198.577 | + | 229.170i | 0.277730 | + | 0.320517i | ||||
\(716\) | 506.027 | + | 325.204i | 0.706742 | + | 0.454195i | ||||
\(717\) | −10.6938 | + | 74.3768i | −0.0149146 | + | 0.103733i | ||||
\(718\) | −348.153 | − | 158.996i | −0.484892 | − | 0.221443i | ||||
\(719\) | −46.2131 | − | 321.419i | −0.0642741 | − | 0.447036i | −0.996391 | − | 0.0848792i | \(-0.972950\pi\) |
0.932117 | − | 0.362157i | \(-0.117960\pi\) | |||||||
\(720\) | 33.1054 | − | 112.747i | 0.0459797 | − | 0.156592i | ||||
\(721\) | 51.9252 | − | 33.3703i | 0.0720183 | − | 0.0462833i | ||||
\(722\) | −363.153 | − | 795.195i | −0.502982 | − | 1.10138i | ||||
\(723\) | −217.759 | − | 741.619i | −0.301188 | − | 1.02575i | ||||
\(724\) | −996.537 | − | 863.504i | −1.37643 | − | 1.19269i | ||||
\(725\) | −201.976 | + | 233.092i | −0.278587 | + | 0.321507i | ||||
\(726\) | −409.841 | + | 120.340i | −0.564519 | + | 0.165758i | ||||
\(727\) | 79.0155 | − | 36.0852i | 0.108687 | − | 0.0496357i | −0.360329 | − | 0.932825i | \(-0.617336\pi\) |
0.469017 | + | 0.883189i | \(0.344608\pi\) | |||||||
\(728\) | 3.98689 | + | 6.20372i | 0.00547649 | + | 0.00852159i | ||||
\(729\) | −25.9063 | − | 7.60678i | −0.0355368 | − | 0.0104345i | ||||
\(730\) | 538.974 | − | 77.4927i | 0.738320 | − | 0.106154i | ||||
\(731\) | 4.19077 | − | 9.17651i | 0.00573293 | − | 0.0125534i | ||||
\(732\) | −639.104 | − | 91.8892i | −0.873093 | − | 0.125532i | ||||
\(733\) | 643.772 | − | 1001.73i | 0.878271 | − | 1.36662i | −0.0515763 | − | 0.998669i | \(-0.516425\pi\) |
0.929847 | − | 0.367947i | \(-0.119939\pi\) | |||||||
\(734\) | −298.416 | + | 258.579i | −0.406561 | + | 0.352287i | ||||
\(735\) | − | 228.894i | − | 0.311420i | ||||||
\(736\) | −978.832 | + | 395.605i | −1.32993 | + | 0.537507i | ||||
\(737\) | −923.427 | −1.25295 | ||||||||
\(738\) | −317.566 | − | 366.490i | −0.430306 | − | 0.496599i | ||||
\(739\) | −949.406 | − | 610.146i | −1.28472 | − | 0.825638i | −0.293255 | − | 0.956034i | \(-0.594739\pi\) |
−0.991462 | + | 0.130397i | \(0.958375\pi\) | |||||||
\(740\) | −75.7079 | + | 526.560i | −0.102308 | + | 0.711568i | ||||
\(741\) | 93.4506 | + | 42.6775i | 0.126114 | + | 0.0575944i | ||||
\(742\) | 4.16502 | + | 28.9683i | 0.00561323 | + | 0.0390409i | ||||
\(743\) | −205.752 | + | 700.726i | −0.276920 | + | 0.943103i | 0.697163 | + | 0.716913i | \(0.254445\pi\) |
−0.974083 | + | 0.226191i | \(0.927373\pi\) | |||||||
\(744\) | −39.5101 | + | 25.3916i | −0.0531050 | + | 0.0341285i | ||||
\(745\) | 134.680 | + | 294.909i | 0.180779 | + | 0.395851i | ||||
\(746\) | 172.948 | + | 589.005i | 0.231833 | + | 0.789551i | ||||
\(747\) | 279.850 | + | 242.491i | 0.374631 | + | 0.324620i | ||||
\(748\) | −522.097 | + | 602.532i | −0.697990 | + | 0.805524i | ||||
\(749\) | 112.863 | − | 33.1397i | 0.150685 | − | 0.0442452i | ||||
\(750\) | −530.940 | + | 242.472i | −0.707920 | + | 0.323296i | ||||
\(751\) | −462.909 | − | 720.300i | −0.616390 | − | 0.959121i | −0.999374 | − | 0.0353663i | \(-0.988740\pi\) |
0.382985 | − | 0.923755i | \(-0.374896\pi\) | |||||||
\(752\) | −1062.75 | − | 312.053i | −1.41324 | − | 0.414964i | ||||
\(753\) | 511.802 | − | 73.5860i | 0.679684 | − | 0.0977238i | ||||
\(754\) | 163.508 | − | 358.033i | 0.216854 | − | 0.474844i | ||||
\(755\) | 573.517 | + | 82.4593i | 0.759625 | + | 0.109218i | ||||
\(756\) | −10.5352 | + | 16.3931i | −0.0139355 | + | 0.0216840i | ||||
\(757\) | −826.671 | + | 716.314i | −1.09204 | + | 0.946254i | −0.998780 | − | 0.0493880i | \(-0.984273\pi\) |
−0.0932559 | + | 0.995642i | \(0.529727\pi\) | |||||||
\(758\) | 1235.54i | 1.63000i | ||||||||
\(759\) | 555.422 | − | 136.680i | 0.731781 | − | 0.180079i | ||||
\(760\) | 23.5379 | 0.0309710 | ||||||||
\(761\) | 410.943 | + | 474.253i | 0.540003 | + | 0.623197i | 0.958525 | − | 0.285010i | \(-0.0919969\pi\) |
−0.418521 | + | 0.908207i | \(0.637451\pi\) | |||||||
\(762\) | 844.851 | + | 542.953i | 1.10873 | + | 0.712536i | ||||
\(763\) | −13.7390 | + | 95.5567i | −0.0180065 | + | 0.125238i | ||||
\(764\) | 110.425 | + | 50.4292i | 0.144535 | + | 0.0660068i | ||||
\(765\) | 14.7979 | + | 102.921i | 0.0193436 | + | 0.134538i | ||||
\(766\) | 72.1771 | − | 245.813i | 0.0942260 | − | 0.320904i | ||||
\(767\) | 381.790 | − | 245.362i | 0.497771 | − | 0.319898i | ||||
\(768\) | 143.671 | + | 314.596i | 0.187072 | + | 0.409630i | ||||
\(769\) | −76.5691 | − | 260.770i | −0.0995696 | − | 0.339103i | 0.894609 | − | 0.446850i | \(-0.147454\pi\) |
−0.994178 | + | 0.107747i | \(0.965636\pi\) | |||||||
\(770\) | 73.5596 | + | 63.7398i | 0.0955320 | + | 0.0827789i | ||||
\(771\) | −304.175 | + | 351.036i | −0.394519 | + | 0.455300i | ||||
\(772\) | 561.617 | − | 164.905i | 0.727483 | − | 0.213608i | ||||
\(773\) | −29.3699 | + | 13.4128i | −0.0379947 | + | 0.0173516i | −0.434322 | − | 0.900758i | \(-0.643012\pi\) |
0.396327 | + | 0.918109i | \(0.370285\pi\) | |||||||
\(774\) | −3.74283 | − | 5.82396i | −0.00483570 | − | 0.00752449i | ||||
\(775\) | −407.313 | − | 119.598i | −0.525565 | − | 0.154320i | ||||
\(776\) | −83.9604 | + | 12.0717i | −0.108196 | + | 0.0155563i | ||||
\(777\) | −27.2536 | + | 59.6771i | −0.0350754 | + | 0.0768045i | ||||
\(778\) | 955.029 | + | 137.312i | 1.22754 | + | 0.176494i | ||||
\(779\) | −232.047 | + | 361.072i | −0.297878 | + | 0.463507i | ||||
\(780\) | 121.254 | − | 105.067i | 0.155453 | − | 0.134701i | ||||
\(781\) | 1391.07i | 1.78113i | ||||||||
\(782\) | 579.863 | − | 612.162i | 0.741513 | − | 0.782815i | ||||
\(783\) | 91.5560 | 0.116930 | ||||||||
\(784\) | 452.221 | + | 521.891i | 0.576813 | + | 0.665678i | ||||
\(785\) | 404.331 | + | 259.848i | 0.515071 | + | 0.331016i | ||||
\(786\) | 17.9778 | − | 125.038i | 0.0228725 | − | 0.159082i | ||||
\(787\) | −388.115 | − | 177.246i | −0.493158 | − | 0.225218i | 0.153282 | − | 0.988182i | \(-0.451016\pi\) |
−0.646440 | + | 0.762965i | \(0.723743\pi\) | |||||||
\(788\) | 97.5220 | + | 678.280i | 0.123759 | + | 0.860762i | ||||
\(789\) | 9.91068 | − | 33.7527i | 0.0125611 | − | 0.0427790i | ||||
\(790\) | −855.142 | + | 549.567i | −1.08246 | + | 0.695654i | ||||
\(791\) | −39.5594 | − | 86.6231i | −0.0500119 | − | 0.109511i | ||||
\(792\) | 13.5687 | + | 46.2108i | 0.0171322 | + | 0.0583470i | ||||
\(793\) | 495.479 | + | 429.335i | 0.624816 | + | 0.541406i | ||||
\(794\) | 104.464 | − | 120.557i | 0.131566 | − | 0.151836i | ||||
\(795\) | 53.7800 | − | 15.7912i | 0.0676478 | − | 0.0198632i | ||||
\(796\) | 242.089 | − | 110.559i | 0.304132 | − | 0.138893i | ||||
\(797\) | 455.304 | + | 708.467i | 0.571272 | + | 0.888917i | 0.999894 | − | 0.0145671i | \(-0.00463700\pi\) |
−0.428622 | + | 0.903484i | \(0.641001\pi\) | |||||||
\(798\) | 31.6403 | + | 9.29043i | 0.0396495 | + | 0.0116421i | ||||
\(799\) | 970.142 | − | 139.485i | 1.21420 | − | 0.174575i | ||||
\(800\) | 333.781 | − | 730.879i | 0.417226 | − | 0.913599i | ||||
\(801\) | 414.460 | + | 59.5904i | 0.517428 | + | 0.0743949i | ||||
\(802\) | 18.2406 | − | 28.3830i | 0.0227439 | − | 0.0353902i | ||||
\(803\) | 745.254 | − | 645.766i | 0.928087 | − | 0.804192i | ||||
\(804\) | 488.585i | 0.607693i | ||||||||
\(805\) | −39.0881 | − | 37.0258i | −0.0485566 | − | 0.0459947i | ||||
\(806\) | 541.743 | 0.672138 | ||||||||
\(807\) | 391.400 | + | 451.700i | 0.485007 | + | 0.559728i | ||||
\(808\) | −33.3035 | − | 21.4028i | −0.0412171 | − | 0.0264886i | ||||
\(809\) | 84.8513 | − | 590.154i | 0.104884 | − | 0.729485i | −0.867726 | − | 0.497043i | \(-0.834419\pi\) |
0.972610 | − | 0.232442i | \(-0.0746717\pi\) | |||||||
\(810\) | 64.9074 | + | 29.6422i | 0.0801326 | + | 0.0365953i | ||||
\(811\) | −0.941029 | − | 6.54500i | −0.00116033 | − | 0.00807028i | 0.989233 | − | 0.146349i | \(-0.0467522\pi\) |
−0.990393 | + | 0.138279i | \(0.955843\pi\) | |||||||
\(812\) | 18.6164 | − | 63.4015i | 0.0229265 | − | 0.0780806i | ||||
\(813\) | 566.816 | − | 364.270i | 0.697190 | − | 0.448057i | ||||
\(814\) | 765.192 | + | 1675.54i | 0.940040 | + | 2.05840i | ||||
\(815\) | 171.101 | + | 582.716i | 0.209940 | + | 0.714989i | ||||
\(816\) | −237.080 | − | 205.431i | −0.290539 | − | 0.251754i | ||||
\(817\) | −4.01257 | + | 4.63076i | −0.00491135 | + | 0.00566800i | ||||
\(818\) | 81.2980 | − | 23.8713i | 0.0993864 | − | 0.0291825i | ||||
\(819\) | 17.9984 | − | 8.21958i | 0.0219760 | − | 0.0100361i | ||||
\(820\) | 362.390 | + | 563.890i | 0.441939 | + | 0.687671i | ||||
\(821\) | −1091.63 | − | 320.533i | −1.32964 | − | 0.390417i | −0.461678 | − | 0.887048i | \(-0.652752\pi\) |
−0.867962 | + | 0.496630i | \(0.834570\pi\) | |||||||
\(822\) | −755.414 | + | 108.612i | −0.918995 | + | 0.132131i | ||||
\(823\) | −112.820 | + | 247.040i | −0.137083 | + | 0.300170i | −0.965706 | − | 0.259636i | \(-0.916397\pi\) |
0.828623 | + | 0.559807i | \(0.189125\pi\) | |||||||
\(824\) | −79.8937 | − | 11.4870i | −0.0969584 | − | 0.0139405i | ||||
\(825\) | −235.351 | + | 366.213i | −0.285274 | + | 0.443895i | ||||
\(826\) | 110.093 | − | 95.3958i | 0.133284 | − | 0.115491i | ||||
\(827\) | − | 1399.96i | − | 1.69282i | −0.532529 | − | 0.846412i | \(-0.678758\pi\) | ||
0.532529 | − | 0.846412i | \(-0.321242\pi\) | |||||||
\(828\) | −72.3171 | − | 293.874i | −0.0873395 | − | 0.354920i | ||||
\(829\) | 1082.27 | 1.30551 | 0.652754 | − | 0.757570i | \(-0.273614\pi\) | ||||
0.652754 | + | 0.757570i | \(0.273614\pi\) | |||||||
\(830\) | −640.856 | − | 739.587i | −0.772115 | − | 0.891068i | ||||
\(831\) | −127.954 | − | 82.2308i | −0.153975 | − | 0.0989540i | ||||
\(832\) | −83.1047 | + | 578.006i | −0.0998855 | + | 0.694719i | ||||
\(833\) | −555.847 | − | 253.847i | −0.667284 | − | 0.304738i | ||||
\(834\) | 89.8200 | + | 624.712i | 0.107698 | + | 0.749055i | ||||
\(835\) | −26.8733 | + | 91.5220i | −0.0321836 | + | 0.109607i | ||||
\(836\) | 407.372 | − | 261.802i | 0.487287 | − | 0.313160i | ||||
\(837\) | 52.3487 | + | 114.628i | 0.0625432 | + | 0.136951i | ||||
\(838\) | −56.6520 | − | 192.939i | −0.0676038 | − | 0.230237i | ||||
\(839\) | −550.390 | − | 476.916i | −0.656008 | − | 0.568434i | 0.261965 | − | 0.965077i | \(-0.415629\pi\) |
−0.917973 | + | 0.396644i | \(0.870175\pi\) | |||||||
\(840\) | 2.96872 | − | 3.42608i | 0.00353418 | − | 0.00407867i | ||||
\(841\) | 509.047 | − | 149.470i | 0.605287 | − | 0.177728i | ||||
\(842\) | −342.166 | + | 156.262i | −0.406373 | + | 0.185584i | ||||
\(843\) | −235.953 | − | 367.150i | −0.279897 | − | 0.435528i | ||||
\(844\) | −37.6684 | − | 11.0605i | −0.0446309 | − | 0.0131048i | ||||
\(845\) | 296.731 | − | 42.6634i | 0.351160 | − | 0.0504892i | ||||
\(846\) | 279.409 | − | 611.820i | 0.330270 | − | 0.723191i | ||||
\(847\) | 72.0715 | + | 10.3623i | 0.0850903 | + | 0.0122341i | ||||
\(848\) | −91.4230 | + | 142.257i | −0.107810 | + | 0.167756i | ||||
\(849\) | −191.103 | + | 165.592i | −0.225092 | + | 0.195044i | ||||
\(850\) | 641.722i | 0.754967i | ||||||||
\(851\) | −381.798 | − | 944.670i | −0.448647 | − | 1.11007i | ||||
\(852\) | 736.012 | 0.863864 | ||||||||
\(853\) | −41.5302 | − | 47.9284i | −0.0486872 | − | 0.0561880i | 0.730884 | − | 0.682502i | \(-0.239108\pi\) |
−0.779571 | + | 0.626314i | \(0.784563\pi\) | |||||||
\(854\) | 177.034 | + | 113.773i | 0.207300 | + | 0.133223i | ||||
\(855\) | 8.98796 | − | 62.5126i | 0.0105122 | − | 0.0731142i | ||||
\(856\) | −139.920 | − | 63.8995i | −0.163458 | − | 0.0746490i | ||||
\(857\) | −97.9562 | − | 681.300i | −0.114301 | − | 0.794983i | −0.963653 | − | 0.267156i | \(-0.913916\pi\) |
0.849352 | − | 0.527827i | \(-0.176993\pi\) | |||||||
\(858\) | 156.513 | − | 533.035i | 0.182416 | − | 0.621253i | ||||
\(859\) | −1102.39 | + | 708.466i | −1.28335 | + | 0.824757i | −0.991297 | − | 0.131646i | \(-0.957974\pi\) |
−0.292050 | + | 0.956403i | \(0.594337\pi\) | |||||||
\(860\) | 3.97518 | + | 8.70443i | 0.00462230 | + | 0.0101214i | ||||
\(861\) | 23.2892 | + | 79.3159i | 0.0270491 | + | 0.0921206i | ||||
\(862\) | −1030.89 | − | 893.273i | −1.19593 | − | 1.03628i | ||||
\(863\) | −374.610 | + | 432.323i | −0.434078 | + | 0.500953i | −0.930074 | − | 0.367372i | \(-0.880258\pi\) |
0.495996 | + | 0.868325i | \(0.334803\pi\) | |||||||
\(864\) | −228.854 | + | 67.1976i | −0.264877 | + | 0.0777750i | ||||
\(865\) | 182.604 | − | 83.3923i | 0.211103 | − | 0.0964073i | ||||
\(866\) | −1102.18 | − | 1715.02i | −1.27272 | − | 1.98039i | ||||
\(867\) | −213.940 | − | 62.8185i | −0.246759 | − | 0.0724551i | ||||
\(868\) | 90.0225 | − | 12.9433i | 0.103713 | − | 0.0149116i | ||||
\(869\) | −764.732 | + | 1674.53i | −0.880014 | + | 1.92696i | ||||
\(870\) | −239.501 | − | 34.4351i | −0.275289 | − | 0.0395806i | ||||
\(871\) | 268.214 | − | 417.349i | 0.307938 | − | 0.479161i | ||||
\(872\) | 95.4085 | − | 82.6719i | 0.109413 | − | 0.0948072i | ||||
\(873\) | 227.594i | 0.260703i | ||||||||
\(874\) | −442.685 | + | 257.529i | −0.506504 | + | 0.294656i | ||||
\(875\) | 99.4977 | 0.113712 | ||||||||
\(876\) | −341.675 | − | 394.314i | −0.390040 | − | 0.450130i | ||||
\(877\) | −832.011 | − | 534.701i | −0.948701 | − | 0.609693i | −0.0278519 | − | 0.999612i | \(-0.508867\pi\) |
−0.920849 | + | 0.389919i | \(0.872503\pi\) | |||||||
\(878\) | 338.303 | − | 2352.95i | 0.385311 | − | 2.67989i | ||||
\(879\) | 287.195 | + | 131.158i | 0.326729 | + | 0.149212i | ||||
\(880\) | 80.0372 | + | 556.671i | 0.0909514 | + | 0.632581i | ||||
\(881\) | −126.141 | + | 429.595i | −0.143179 | + | 0.487622i | −0.999589 | − | 0.0286741i | \(-0.990871\pi\) |
0.856410 | + | 0.516296i | \(0.172690\pi\) | |||||||
\(882\) | −352.774 | + | 226.714i | −0.399970 | + | 0.257045i | ||||
\(883\) | −537.361 | − | 1176.66i | −0.608562 | − | 1.33257i | −0.923553 | − | 0.383471i | \(-0.874729\pi\) |
0.314990 | − | 0.949095i | \(-0.397999\pi\) | |||||||
\(884\) | −120.673 | − | 410.974i | −0.136508 | − | 0.464902i | ||||
\(885\) | −210.848 | − | 182.701i | −0.238247 | − | 0.206442i | ||||
\(886\) | −716.581 | + | 826.979i | −0.808783 | + | 0.933385i | ||||
\(887\) | −495.183 | + | 145.399i | −0.558268 | + | 0.163922i | −0.548681 | − | 0.836032i | \(-0.684870\pi\) |
−0.00958679 | + | 0.999954i | \(0.503052\pi\) | |||||||
\(888\) | 78.0391 | − | 35.6393i | 0.0878818 | − | 0.0401343i | ||||
\(889\) | −92.5541 | − | 144.017i | −0.104110 | − | 0.161999i | ||||
\(890\) | −1061.77 | − | 311.765i | −1.19300 | − | 0.350298i | ||||
\(891\) | 127.909 | − | 18.3905i | 0.143557 | − | 0.0206403i | ||||
\(892\) | 279.000 | − | 610.924i | 0.312780 | − | 0.684893i | ||||
\(893\) | −589.247 | − | 84.7209i | −0.659851 | − | 0.0948722i | ||||
\(894\) | 321.119 | − | 499.671i | 0.359194 | − | 0.558916i | ||||
\(895\) | −283.761 | + | 245.880i | −0.317051 | + | 0.274726i | ||||
\(896\) | 30.4492i | 0.0339834i | ||||||||
\(897\) | −99.5519 | + | 290.726i | −0.110983 | + | 0.324110i | ||||
\(898\) | 2319.65 | 2.58313 | ||||||||
\(899\) | −279.831 | − | 322.942i | −0.311269 | − | 0.359224i | ||||
\(900\) | 193.763 | + | 124.524i | 0.215293 | + | 0.138360i | ||||
\(901\) | 21.2953 | − | 148.112i | 0.0236352 | − | 0.164387i | ||||
\(902\) | 2111.21 | + | 964.156i | 2.34058 | + | 1.06891i | ||||
\(903\) | 0.167948 | + | 1.16810i | 0.000185989 | + | 0.00129358i | ||||
\(904\) | −35.0840 | + | 119.485i | −0.0388098 | + | 0.132174i | ||||
\(905\) | 692.421 | − | 444.992i | 0.765106 | − | 0.491703i | ||||
\(906\) | −440.967 | − | 965.583i | −0.486719 | − | 1.06577i | ||||
\(907\) | 268.938 | + | 915.917i | 0.296513 | + | 1.00983i | 0.964153 | + | 0.265347i | \(0.0854865\pi\) |
−0.667640 | + | 0.744485i | \(0.732695\pi\) | |||||||
\(908\) | −953.211 | − | 825.962i | −1.04979 | − | 0.909650i | ||||
\(909\) | −69.5591 | + | 80.2754i | −0.0765226 | + | 0.0883118i | ||||
\(910\) | −50.1734 | + | 14.7322i | −0.0551356 | + | 0.0161893i | ||||
\(911\) | 607.800 | − | 277.573i | 0.667179 | − | 0.304691i | −0.0528823 | − | 0.998601i | \(-0.516841\pi\) |
0.720062 | + | 0.693910i | \(0.244114\pi\) | |||||||
\(912\) | 103.012 | + | 160.290i | 0.112952 | + | 0.175756i | ||||
\(913\) | −1700.47 | − | 499.303i | −1.86251 | − | 0.546881i | ||||
\(914\) | 2051.74 | − | 294.995i | 2.24479 | − | 0.322752i | ||||
\(915\) | 167.426 | − | 366.613i | 0.182980 | − | 0.400670i | ||||
\(916\) | −1130.55 | − | 162.549i | −1.23423 | − | 0.177455i | ||||
\(917\) | −11.6420 | + | 18.1153i | −0.0126958 | + | 0.0197550i | ||||
\(918\) | 143.967 | − | 124.748i | 0.156826 | − | 0.135891i | ||||
\(919\) | 424.555i | 0.461974i | 0.972957 | + | 0.230987i | \(0.0741956\pi\) | ||||
−0.972957 | + | 0.230987i | \(0.925804\pi\) | |||||||
\(920\) | 6.92302 | + | 70.0653i | 0.00752503 | + | 0.0761579i | ||||
\(921\) | 621.452 | 0.674758 | ||||||||
\(922\) | 222.320 | + | 256.571i | 0.241128 | + | 0.278277i | ||||
\(923\) | −628.702 | − | 404.042i | −0.681151 | − | 0.437749i | ||||
\(924\) | 13.2729 | − | 92.3149i | 0.0143646 | − | 0.0999079i | ||||
\(925\) | 705.371 | + | 322.132i | 0.762563 | + | 0.348251i | ||||
\(926\) | 143.582 | + | 998.636i | 0.155056 | + | 1.07844i | ||||
\(927\) | −61.0148 | + | 207.797i | −0.0658196 | + | 0.224161i | ||||
\(928\) | 680.403 | − | 437.269i | 0.733193 | − | 0.471195i | ||||
\(929\) | 293.584 | + | 642.860i | 0.316022 | + | 0.691991i | 0.999270 | − | 0.0381947i | \(-0.0121607\pi\) |
−0.683249 | + | 0.730186i | \(0.739433\pi\) | |||||||
\(930\) | −93.8264 | − | 319.543i | −0.100889 | − | 0.343595i | ||||
\(931\) | 280.498 | + | 243.053i | 0.301287 | + | 0.261066i | ||||
\(932\) | 288.505 | − | 332.952i | 0.309555 | − | 0.357245i | ||||
\(933\) | −949.030 | + | 278.660i | −1.01718 | + | 0.298671i | ||||
\(934\) | 581.599 | − | 265.608i | 0.622697 | − | 0.284376i | ||||
\(935\) | −269.053 | − | 418.655i | −0.287757 | − | 0.447759i | ||||
\(936\) | −24.8264 | − | 7.28969i | −0.0265239 | − | 0.00778813i | ||||
\(937\) | −824.620 | + | 118.562i | −0.880064 | + | 0.126534i | −0.567511 | − | 0.823366i | \(-0.692093\pi\) |
−0.312553 | + | 0.949900i | \(0.601184\pi\) | |||||||
\(938\) | 66.1512 | − | 144.851i | 0.0705236 | − | 0.154425i | ||||
\(939\) | 267.152 | + | 38.4107i | 0.284507 | + | 0.0409059i | ||||
\(940\) | −502.631 | + | 782.110i | −0.534714 | + | 0.832032i | ||||
\(941\) | −415.039 | + | 359.633i | −0.441062 | + | 0.382182i | −0.846891 | − | 0.531767i | \(-0.821528\pi\) |
0.405829 | + | 0.913949i | \(0.366983\pi\) | |||||||
\(942\) | − | 880.532i | − | 0.934747i | ||||||
\(943\) | −1143.05 | − | 584.534i | −1.21214 | − | 0.619866i | ||||
\(944\) | 841.706 | 0.891637 | ||||||||
\(945\) | −7.96546 | − | 9.19263i | −0.00842906 | − | 0.00972765i | ||||
\(946\) | 27.8740 | + | 17.9135i | 0.0294651 | + | 0.0189360i | ||||
\(947\) | −24.0411 | + | 167.210i | −0.0253866 | + | 0.176568i | −0.998570 | − | 0.0534638i | \(-0.982974\pi\) |
0.973183 | + | 0.230031i | \(0.0738829\pi\) | |||||||
\(948\) | 885.993 | + | 404.620i | 0.934592 | + | 0.426814i | ||||
\(949\) | 75.3958 | + | 524.389i | 0.0794476 | + | 0.552570i | ||||
\(950\) | 109.811 | − | 373.982i | 0.115591 | − | 0.393665i | ||||
\(951\) | 641.515 | − | 412.277i | 0.674569 | − | 0.433519i | ||||
\(952\) | −5.02756 | − | 11.0088i | −0.00528105 | − | 0.0115639i | ||||
\(953\) | 227.401 | + | 774.457i | 0.238616 | + | 0.812651i | 0.988518 | + | 0.151102i | \(0.0482823\pi\) |
−0.749902 | + | 0.661549i | \(0.769899\pi\) | |||||||
\(954\) | −77.6053 | − | 67.2454i | −0.0813473 | − | 0.0704878i | ||||
\(955\) | −49.6222 | + | 57.2671i | −0.0519604 | + | 0.0599655i | ||||
\(956\) | −182.575 | + | 53.6087i | −0.190978 | + | 0.0560761i | ||||
\(957\) | −398.596 | + | 182.033i | −0.416506 | + | 0.190212i | ||||
\(958\) | −422.461 | − | 657.362i | −0.440982 | − | 0.686181i | ||||
\(959\) | 124.826 | + | 36.6521i | 0.130162 | + | 0.0382191i | ||||
\(960\) | 355.326 | − | 51.0881i | 0.370131 | − | 0.0532168i | ||||
\(961\) | −154.890 | + | 339.162i | −0.161176 | + | 0.352926i | ||||
\(962\) | −979.525 | − | 140.834i | −1.01822 | − | 0.146398i | ||||
\(963\) | −223.134 | + | 347.204i | −0.231708 | + | 0.360544i | ||||
\(964\) | 1479.23 | − | 1281.76i | 1.53447 | − | 1.32962i | ||||
\(965\) | 365.364i | 0.378615i | ||||||||
\(966\) | −18.3487 | + | 96.9160i | −0.0189945 | + | 0.100327i | ||||
\(967\) | −622.547 | −0.643792 | −0.321896 | − | 0.946775i | \(-0.604320\pi\) | ||||
−0.321896 | + | 0.946775i | \(0.604320\pi\) | |||||||
\(968\) | −62.3534 | − | 71.9597i | −0.0644147 | − | 0.0743385i | ||||
\(969\) | −141.838 | − | 91.1539i | −0.146376 | − | 0.0940701i | ||||
\(970\) | 85.6002 | − | 595.363i | 0.0882477 | − | 0.613776i | ||||
\(971\) | 1172.88 | + | 535.638i | 1.20791 | + | 0.551635i | 0.914592 | − | 0.404379i | \(-0.132512\pi\) |
0.293321 | + | 0.956014i | \(0.405239\pi\) | |||||||
\(972\) | −9.73042 | − | 67.6766i | −0.0100107 | − | 0.0696261i | ||||
\(973\) | 30.3105 | − | 103.228i | 0.0311516 | − | 0.106093i | ||||
\(974\) | −2099.94 | + | 1349.55i | −2.15600 | + | 1.38558i | ||||
\(975\) | −97.1538 | − | 212.737i | −0.0996449 | − | 0.218192i | ||||
\(976\) | 342.568 | + | 1166.68i | 0.350992 | + | 1.19537i | ||||
\(977\) | 1138.04 | + | 986.115i | 1.16483 | + | 1.00933i | 0.999734 | + | 0.0230521i | \(0.00733837\pi\) |
0.165095 | + | 0.986278i | \(0.447207\pi\) | |||||||
\(978\) | 728.617 | − | 840.869i | 0.745007 | − | 0.859784i | ||||
\(979\) | −1922.86 | + | 564.603i | −1.96411 | + | 0.576714i | ||||
\(980\) | 527.252 | − | 240.788i | 0.538012 | − | 0.245702i | ||||
\(981\) | −183.130 | − | 284.956i | −0.186677 | − | 0.290475i | ||||
\(982\) | 1234.15 | + | 362.379i | 1.25677 | + | 0.369022i | ||||
\(983\) | 1007.88 | − | 144.912i | 1.02531 | − | 0.147418i | 0.390917 | − | 0.920426i | \(-0.372158\pi\) |
0.634396 | + | 0.773008i | \(0.281249\pi\) | |||||||
\(984\) | 44.9061 | − | 98.3306i | 0.0456362 | − | 0.0999294i | ||||
\(985\) | −423.386 | − | 60.8737i | −0.429833 | − | 0.0618007i | ||||
\(986\) | −349.233 | + | 543.418i | −0.354192 | + | 0.551134i | ||||
\(987\) | −86.6502 | + | 75.0828i | −0.0877914 | + | 0.0760717i | ||||
\(988\) | 260.156i | 0.263316i | ||||||||
\(989\) | −14.9645 | − | 10.5822i | −0.0151310 | − | 0.0106999i | ||||
\(990\) | −341.514 | −0.344964 | ||||||||
\(991\) | 619.800 | + | 715.288i | 0.625429 | + | 0.721784i | 0.976729 | − | 0.214479i | \(-0.0688055\pi\) |
−0.351299 | + | 0.936263i | \(0.614260\pi\) | |||||||
\(992\) | 936.490 | + | 601.846i | 0.944043 | + | 0.606699i | ||||
\(993\) | 64.7907 | − | 450.629i | 0.0652474 | − | 0.453806i | ||||
\(994\) | −218.206 | − | 99.6512i | −0.219523 | − | 0.100253i | ||||
\(995\) | 23.6422 | + | 164.435i | 0.0237610 | + | 0.165261i | ||||
\(996\) | −264.181 | + | 899.718i | −0.265242 | + | 0.903331i | ||||
\(997\) | −946.834 | + | 608.493i | −0.949683 | + | 0.610324i | −0.921125 | − | 0.389268i | \(-0.872728\pi\) |
−0.0285585 | + | 0.999592i | \(0.509092\pi\) | |||||||
\(998\) | 391.290 | + | 856.805i | 0.392074 | + | 0.858522i | ||||
\(999\) | −64.8524 | − | 220.867i | −0.0649173 | − | 0.221088i |
(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 | 69.3.f.a.10.7 | yes | 80 | |
3.2 | odd | 2 | 207.3.j.b.10.2 | 80 | |||
23.7 | odd | 22 | inner | 69.3.f.a.7.7 | ✓ | 80 | |
69.53 | even | 22 | 207.3.j.b.145.2 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.3.f.a.7.7 | ✓ | 80 | 23.7 | odd | 22 | inner | |
69.3.f.a.10.7 | yes | 80 | 1.1 | even | 1 | trivial | |
207.3.j.b.10.2 | 80 | 3.2 | odd | 2 | |||
207.3.j.b.145.2 | 80 | 69.53 | even | 22 |