Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [210,3,Mod(17,210)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(210, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("210.17");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 210.w (of order \(12\), degree \(4\), 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: | \(5.72208555157\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 17.14 | ||
Character | \(\chi\) | \(=\) | 210.17 |
Dual form | 210.3.w.a.173.14 |
$q$-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 \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.36603 | − | 0.366025i | −0.683013 | − | 0.183013i | ||||
\(3\) | 2.82505 | − | 1.00950i | 0.941684 | − | 0.336500i | ||||
\(4\) | 1.73205 | + | 1.00000i | 0.433013 | + | 0.250000i | ||||
\(5\) | 2.52260 | + | 4.31700i | 0.504521 | + | 0.863400i | ||||
\(6\) | −4.22859 | + | 0.344962i | −0.704766 | + | 0.0574936i | ||||
\(7\) | 0.692615 | − | 6.96565i | 0.0989450 | − | 0.995093i | ||||
\(8\) | −2.00000 | − | 2.00000i | −0.250000 | − | 0.250000i | ||||
\(9\) | 6.96182 | − | 5.70377i | 0.773536 | − | 0.633753i | ||||
\(10\) | −1.86581 | − | 6.82047i | −0.186581 | − | 0.682047i | ||||
\(11\) | 3.24428 | + | 1.87308i | 0.294934 | + | 0.170280i | 0.640165 | − | 0.768237i | \(-0.278866\pi\) |
−0.345231 | + | 0.938518i | \(0.612199\pi\) | |||||||
\(12\) | 5.90263 | + | 1.07655i | 0.491886 | + | 0.0897122i | ||||
\(13\) | 5.63880 | + | 5.63880i | 0.433754 | + | 0.433754i | 0.889903 | − | 0.456149i | \(-0.150772\pi\) |
−0.456149 | + | 0.889903i | \(0.650772\pi\) | |||||||
\(14\) | −3.49573 | + | 9.26174i | −0.249695 | + | 0.661553i | ||||
\(15\) | 11.4845 | + | 9.64917i | 0.765633 | + | 0.643278i | ||||
\(16\) | 2.00000 | + | 3.46410i | 0.125000 | + | 0.216506i | ||||
\(17\) | −4.24716 | + | 1.13802i | −0.249833 | + | 0.0669425i | −0.381562 | − | 0.924343i | \(-0.624614\pi\) |
0.131729 | + | 0.991286i | \(0.457947\pi\) | |||||||
\(18\) | −11.5978 | + | 5.24330i | −0.644320 | + | 0.291294i | ||||
\(19\) | 8.60142 | + | 14.8981i | 0.452707 | + | 0.784111i | 0.998553 | − | 0.0537744i | \(-0.0171252\pi\) |
−0.545847 | + | 0.837885i | \(0.683792\pi\) | |||||||
\(20\) | 0.0522811 | + | 9.99986i | 0.00261406 | + | 0.499993i | ||||
\(21\) | −5.07515 | − | 20.3775i | −0.241674 | − | 0.970358i | ||||
\(22\) | −3.74617 | − | 3.74617i | −0.170280 | − | 0.170280i | ||||
\(23\) | 9.56743 | − | 35.7061i | 0.415975 | − | 1.55244i | −0.366899 | − | 0.930261i | \(-0.619580\pi\) |
0.782874 | − | 0.622180i | \(-0.213753\pi\) | |||||||
\(24\) | −7.66910 | − | 3.63110i | −0.319546 | − | 0.151296i | ||||
\(25\) | −12.2729 | + | 21.7802i | −0.490917 | + | 0.871206i | ||||
\(26\) | −5.63880 | − | 9.76669i | −0.216877 | − | 0.375642i | ||||
\(27\) | 13.9095 | − | 23.1414i | 0.515168 | − | 0.857089i | ||||
\(28\) | 8.16529 | − | 11.3722i | 0.291618 | − | 0.406152i | ||||
\(29\) | 29.5157 | 1.01778 | 0.508892 | − | 0.860830i | \(-0.330055\pi\) | ||||
0.508892 | + | 0.860830i | \(0.330055\pi\) | |||||||
\(30\) | −12.1563 | − | 17.3846i | −0.405209 | − | 0.579488i | ||||
\(31\) | −11.0230 | − | 6.36411i | −0.355579 | − | 0.205294i | 0.311561 | − | 0.950226i | \(-0.399148\pi\) |
−0.667140 | + | 0.744933i | \(0.732482\pi\) | |||||||
\(32\) | −1.46410 | − | 5.46410i | −0.0457532 | − | 0.170753i | ||||
\(33\) | 11.0561 | + | 2.01646i | 0.335034 | + | 0.0611049i | ||||
\(34\) | 6.21827 | 0.182890 | ||||||||
\(35\) | 31.8179 | − | 14.5816i | 0.909083 | − | 0.416616i | ||||
\(36\) | 17.7620 | − | 2.91740i | 0.493389 | − | 0.0810390i | ||||
\(37\) | −6.31767 | + | 23.5779i | −0.170748 | + | 0.637240i | 0.826489 | + | 0.562953i | \(0.190335\pi\) |
−0.997237 | + | 0.0742870i | \(0.976332\pi\) | |||||||
\(38\) | −6.29668 | − | 23.4995i | −0.165702 | − | 0.618409i | ||||
\(39\) | 21.6223 | + | 10.2375i | 0.554417 | + | 0.262501i | ||||
\(40\) | 3.58879 | − | 13.6792i | 0.0897197 | − | 0.341980i | ||||
\(41\) | −26.2318 | −0.639800 | −0.319900 | − | 0.947451i | \(-0.603649\pi\) | ||||
−0.319900 | + | 0.947451i | \(0.603649\pi\) | |||||||
\(42\) | −0.525906 | + | 29.6938i | −0.0125216 | + | 0.706996i | ||||
\(43\) | 38.5379 | − | 38.5379i | 0.896231 | − | 0.896231i | −0.0988691 | − | 0.995100i | \(-0.531522\pi\) |
0.995100 | + | 0.0988691i | \(0.0315225\pi\) | |||||||
\(44\) | 3.74617 | + | 6.48855i | 0.0851402 | + | 0.147467i | ||||
\(45\) | 42.1851 | + | 15.6658i | 0.937447 | + | 0.348129i | ||||
\(46\) | −26.1387 | + | 45.2736i | −0.568233 | + | 0.984208i | ||||
\(47\) | −7.31893 | + | 27.3146i | −0.155722 | + | 0.581162i | 0.843321 | + | 0.537411i | \(0.180598\pi\) |
−0.999042 | + | 0.0437512i | \(0.986069\pi\) | |||||||
\(48\) | 9.14711 | + | 7.76726i | 0.190565 | + | 0.161818i | ||||
\(49\) | −48.0406 | − | 9.64903i | −0.980420 | − | 0.196919i | ||||
\(50\) | 24.7372 | − | 25.2600i | 0.494745 | − | 0.505201i | ||||
\(51\) | −10.8496 | + | 7.50248i | −0.212737 | + | 0.147107i | ||||
\(52\) | 4.12789 | + | 15.4055i | 0.0793825 | + | 0.296260i | ||||
\(53\) | 7.09618 | − | 1.90142i | 0.133890 | − | 0.0358758i | −0.191252 | − | 0.981541i | \(-0.561255\pi\) |
0.325142 | + | 0.945665i | \(0.394588\pi\) | |||||||
\(54\) | −27.4711 | + | 26.5205i | −0.508725 | + | 0.491120i | ||||
\(55\) | 0.0979269 | + | 18.7306i | 0.00178049 | + | 0.340556i | ||||
\(56\) | −15.3165 | + | 12.5461i | −0.273509 | + | 0.224037i | ||||
\(57\) | 39.3391 | + | 33.4048i | 0.690159 | + | 0.586049i | ||||
\(58\) | −40.3193 | − | 10.8035i | −0.695160 | − | 0.186267i | ||||
\(59\) | −68.7458 | − | 39.6904i | −1.16518 | − | 0.672719i | −0.212643 | − | 0.977130i | \(-0.568207\pi\) |
−0.952541 | + | 0.304411i | \(0.901540\pi\) | |||||||
\(60\) | 10.2426 | + | 28.1973i | 0.170709 | + | 0.469956i | ||||
\(61\) | −47.6402 | + | 27.5051i | −0.780987 | + | 0.450903i | −0.836780 | − | 0.547539i | \(-0.815565\pi\) |
0.0557927 | + | 0.998442i | \(0.482231\pi\) | |||||||
\(62\) | 12.7282 | + | 12.7282i | 0.205294 | + | 0.205294i | ||||
\(63\) | −34.9086 | − | 52.4441i | −0.554105 | − | 0.832447i | ||||
\(64\) | 8.00000i | 0.125000i | ||||||||
\(65\) | −10.1182 | + | 38.5672i | −0.155665 | + | 0.593341i | ||||
\(66\) | −14.3649 | − | 6.80136i | −0.217650 | − | 0.103051i | ||||
\(67\) | −79.7633 | + | 21.3725i | −1.19050 | + | 0.318993i | −0.799082 | − | 0.601222i | \(-0.794681\pi\) |
−0.391415 | + | 0.920214i | \(0.628014\pi\) | |||||||
\(68\) | −8.49432 | − | 2.27605i | −0.124916 | − | 0.0334713i | ||||
\(69\) | −9.01685 | − | 110.530i | −0.130679 | − | 1.60188i | ||||
\(70\) | −48.8013 | + | 8.27263i | −0.697161 | + | 0.118180i | ||||
\(71\) | 86.9495i | 1.22464i | 0.790610 | + | 0.612320i | \(0.209764\pi\) | ||||
−0.790610 | + | 0.612320i | \(0.790236\pi\) | |||||||
\(72\) | −25.3312 | − | 2.51610i | −0.351822 | − | 0.0349458i | ||||
\(73\) | 9.35252 | − | 2.50600i | 0.128117 | − | 0.0343288i | −0.194191 | − | 0.980964i | \(-0.562208\pi\) |
0.322308 | + | 0.946635i | \(0.395541\pi\) | |||||||
\(74\) | 17.2602 | − | 29.8955i | 0.233246 | − | 0.403994i | ||||
\(75\) | −12.6846 | + | 73.9196i | −0.169128 | + | 0.985594i | ||||
\(76\) | 34.4057i | 0.452707i | ||||||||
\(77\) | 15.2943 | − | 21.3012i | 0.198627 | − | 0.276639i | ||||
\(78\) | −25.7894 | − | 21.8990i | −0.330633 | − | 0.280757i | ||||
\(79\) | −134.657 | + | 77.7444i | −1.70452 | + | 0.984106i | −0.763471 | + | 0.645842i | \(0.776507\pi\) |
−0.941051 | + | 0.338265i | \(0.890160\pi\) | |||||||
\(80\) | −9.90931 | + | 17.3726i | −0.123866 | + | 0.217157i | ||||
\(81\) | 15.9339 | − | 79.4173i | 0.196715 | − | 0.980461i | ||||
\(82\) | 35.8333 | + | 9.60151i | 0.436992 | + | 0.117092i | ||||
\(83\) | 68.5558 | − | 68.5558i | 0.825974 | − | 0.825974i | −0.160983 | − | 0.986957i | \(-0.551467\pi\) |
0.986957 | + | 0.160983i | \(0.0514665\pi\) | |||||||
\(84\) | 11.5871 | − | 40.3700i | 0.137942 | − | 0.480596i | ||||
\(85\) | −15.6267 | − | 15.4642i | −0.183844 | − | 0.181932i | ||||
\(86\) | −66.7497 | + | 38.5379i | −0.776159 | + | 0.448116i | ||||
\(87\) | 83.3835 | − | 29.7961i | 0.958431 | − | 0.342484i | ||||
\(88\) | −2.74239 | − | 10.2347i | −0.0311635 | − | 0.116304i | ||||
\(89\) | −94.3451 | + | 54.4701i | −1.06006 | + | 0.612024i | −0.925448 | − | 0.378875i | \(-0.876311\pi\) |
−0.134609 | + | 0.990899i | \(0.542978\pi\) | |||||||
\(90\) | −51.8918 | − | 36.8407i | −0.576576 | − | 0.409341i | ||||
\(91\) | 43.1835 | − | 35.3724i | 0.474543 | − | 0.388708i | ||||
\(92\) | 52.2774 | − | 52.2774i | 0.568233 | − | 0.568233i | ||||
\(93\) | −37.5650 | − | 6.85126i | −0.403924 | − | 0.0736694i | ||||
\(94\) | 19.9957 | − | 34.6336i | 0.212720 | − | 0.368442i | ||||
\(95\) | −42.6171 | + | 74.7144i | −0.448601 | + | 0.786467i | ||||
\(96\) | −9.65217 | − | 13.9584i | −0.100543 | − | 0.145400i | ||||
\(97\) | −17.8295 | + | 17.8295i | −0.183810 | + | 0.183810i | −0.793014 | − | 0.609204i | \(-0.791489\pi\) |
0.609204 | + | 0.793014i | \(0.291489\pi\) | |||||||
\(98\) | 62.0928 | + | 30.7649i | 0.633600 | + | 0.313927i | ||||
\(99\) | 33.2697 | − | 5.46454i | 0.336058 | − | 0.0551974i | ||||
\(100\) | −43.0375 | + | 25.4514i | −0.430375 | + | 0.254514i | ||||
\(101\) | −90.8819 | + | 157.412i | −0.899821 | + | 1.55854i | −0.0720991 | + | 0.997397i | \(0.522970\pi\) |
−0.827722 | + | 0.561138i | \(0.810364\pi\) | |||||||
\(102\) | 17.5669 | − | 6.27734i | 0.172225 | − | 0.0615426i | ||||
\(103\) | −24.1275 | + | 90.0449i | −0.234247 | + | 0.874222i | 0.744240 | + | 0.667913i | \(0.232812\pi\) |
−0.978487 | + | 0.206310i | \(0.933855\pi\) | |||||||
\(104\) | − | 22.5552i | − | 0.216877i | ||||||
\(105\) | 75.1671 | − | 73.3138i | 0.715877 | − | 0.698227i | ||||
\(106\) | −10.3895 | −0.0980145 | ||||||||
\(107\) | 149.820 | + | 40.1442i | 1.40019 | + | 0.375180i | 0.878413 | − | 0.477902i | \(-0.158603\pi\) |
0.521777 | + | 0.853082i | \(0.325269\pi\) | |||||||
\(108\) | 47.2334 | − | 26.1725i | 0.437347 | − | 0.242338i | ||||
\(109\) | 87.0240 | + | 50.2433i | 0.798385 | + | 0.460948i | 0.842906 | − | 0.538061i | \(-0.180843\pi\) |
−0.0445210 | + | 0.999008i | \(0.514176\pi\) | |||||||
\(110\) | 6.72210 | − | 25.6223i | 0.0611100 | − | 0.232930i | ||||
\(111\) | 5.95411 | + | 72.9864i | 0.0536406 | + | 0.657535i | ||||
\(112\) | 25.5150 | − | 11.5320i | 0.227812 | − | 0.102964i | ||||
\(113\) | −123.013 | − | 123.013i | −1.08861 | − | 1.08861i | −0.995672 | − | 0.0929363i | \(-0.970375\pi\) |
−0.0929363 | − | 0.995672i | \(-0.529625\pi\) | |||||||
\(114\) | −41.5112 | − | 60.0309i | −0.364133 | − | 0.526587i | ||||
\(115\) | 178.278 | − | 48.7699i | 1.55025 | − | 0.424086i | ||||
\(116\) | 51.1228 | + | 29.5157i | 0.440714 | + | 0.254446i | ||||
\(117\) | 71.4188 | + | 7.09389i | 0.610417 | + | 0.0606315i | ||||
\(118\) | 79.3808 | + | 79.3808i | 0.672719 | + | 0.672719i | ||||
\(119\) | 4.98542 | + | 30.3724i | 0.0418943 | + | 0.255231i | ||||
\(120\) | −3.67064 | − | 42.2673i | −0.0305887 | − | 0.352228i | ||||
\(121\) | −53.4831 | − | 92.6355i | −0.442009 | − | 0.765582i | ||||
\(122\) | 75.1453 | − | 20.1351i | 0.615945 | − | 0.165042i | ||||
\(123\) | −74.1062 | + | 26.4810i | −0.602489 | + | 0.215293i | ||||
\(124\) | −12.7282 | − | 22.0459i | −0.102647 | − | 0.177790i | ||||
\(125\) | −124.985 | + | 1.96047i | −0.999877 | + | 0.0156838i | ||||
\(126\) | 28.4902 | + | 84.4175i | 0.226113 | + | 0.669980i | ||||
\(127\) | −102.528 | − | 102.528i | −0.807305 | − | 0.807305i | 0.176920 | − | 0.984225i | \(-0.443386\pi\) |
−0.984225 | + | 0.176920i | \(0.943386\pi\) | |||||||
\(128\) | 2.92820 | − | 10.9282i | 0.0228766 | − | 0.0853766i | ||||
\(129\) | 69.9676 | − | 147.776i | 0.542385 | − | 1.14555i | ||||
\(130\) | 27.9383 | − | 48.9802i | 0.214910 | − | 0.376771i | ||||
\(131\) | −21.6471 | − | 37.4939i | −0.165245 | − | 0.286213i | 0.771497 | − | 0.636233i | \(-0.219508\pi\) |
−0.936742 | + | 0.350020i | \(0.886175\pi\) | |||||||
\(132\) | 17.1333 | + | 14.5487i | 0.129798 | + | 0.110218i | ||||
\(133\) | 109.732 | − | 49.5959i | 0.825056 | − | 0.372901i | ||||
\(134\) | 116.782 | 0.871504 | ||||||||
\(135\) | 134.990 | + | 1.67086i | 0.999923 | + | 0.0123767i | ||||
\(136\) | 10.7704 | + | 6.21827i | 0.0791939 | + | 0.0457226i | ||||
\(137\) | −30.6444 | − | 114.366i | −0.223682 | − | 0.834791i | −0.982928 | − | 0.183988i | \(-0.941099\pi\) |
0.759247 | − | 0.650803i | \(-0.225567\pi\) | |||||||
\(138\) | −28.1395 | + | 154.287i | −0.203910 | + | 1.11802i | ||||
\(139\) | 257.537 | 1.85278 | 0.926391 | − | 0.376563i | \(-0.122894\pi\) | ||||
0.926391 | + | 0.376563i | \(0.122894\pi\) | |||||||
\(140\) | 69.6918 | + | 6.56188i | 0.497798 | + | 0.0468706i | ||||
\(141\) | 6.89774 | + | 84.5536i | 0.0489202 | + | 0.599671i | ||||
\(142\) | 31.8257 | − | 118.775i | 0.224125 | − | 0.836445i | ||||
\(143\) | 7.73189 | + | 28.8558i | 0.0540691 | + | 0.201789i | ||||
\(144\) | 33.6821 | + | 12.7089i | 0.233903 | + | 0.0882563i | ||||
\(145\) | 74.4565 | + | 127.419i | 0.513493 | + | 0.878755i | ||||
\(146\) | −13.6930 | −0.0937879 | ||||||||
\(147\) | −145.458 | + | 21.2379i | −0.989508 | + | 0.144476i | ||||
\(148\) | −34.5204 | + | 34.5204i | −0.233246 | + | 0.233246i | ||||
\(149\) | −80.2081 | − | 138.925i | −0.538309 | − | 0.932379i | −0.998995 | − | 0.0448160i | \(-0.985730\pi\) |
0.460686 | − | 0.887563i | \(-0.347603\pi\) | |||||||
\(150\) | 44.3839 | − | 96.3331i | 0.295893 | − | 0.642221i | ||||
\(151\) | 93.7262 | − | 162.338i | 0.620703 | − | 1.07509i | −0.368652 | − | 0.929567i | \(-0.620181\pi\) |
0.989355 | − | 0.145522i | \(-0.0464861\pi\) | |||||||
\(152\) | 12.5934 | − | 46.9991i | 0.0828511 | − | 0.309204i | ||||
\(153\) | −23.0769 | + | 32.1476i | −0.150830 | + | 0.210115i | ||||
\(154\) | −28.6892 | + | 23.4998i | −0.186293 | + | 0.152596i | ||||
\(155\) | −0.332722 | − | 63.6402i | −0.00214660 | − | 0.410582i | ||||
\(156\) | 27.2133 | + | 39.3542i | 0.174445 | + | 0.252271i | ||||
\(157\) | 0.0276015 | + | 0.103010i | 0.000175806 | + | 0.000656117i | 0.966014 | − | 0.258491i | \(-0.0832252\pi\) |
−0.965838 | + | 0.259147i | \(0.916559\pi\) | |||||||
\(158\) | 212.402 | − | 56.9129i | 1.34431 | − | 0.360208i | ||||
\(159\) | 18.1276 | − | 12.5352i | 0.114010 | − | 0.0788377i | ||||
\(160\) | 19.8952 | − | 20.1043i | 0.124345 | − | 0.125652i | ||||
\(161\) | −242.090 | − | 91.3740i | −1.50366 | − | 0.567540i | ||||
\(162\) | −50.8349 | + | 102.654i | −0.313796 | + | 0.633666i | ||||
\(163\) | −243.194 | − | 65.1637i | −1.49199 | − | 0.399778i | −0.581582 | − | 0.813488i | \(-0.697566\pi\) |
−0.910409 | + | 0.413710i | \(0.864233\pi\) | |||||||
\(164\) | −45.4348 | − | 26.2318i | −0.277042 | − | 0.159950i | ||||
\(165\) | 19.1852 | + | 52.8160i | 0.116274 | + | 0.320097i | ||||
\(166\) | −118.742 | + | 68.5558i | −0.715314 | + | 0.412987i | ||||
\(167\) | 179.100 | + | 179.100i | 1.07245 | + | 1.07245i | 0.997162 | + | 0.0752919i | \(0.0239889\pi\) |
0.0752919 | + | 0.997162i | \(0.476011\pi\) | |||||||
\(168\) | −30.6047 | + | 50.9053i | −0.182171 | + | 0.303008i | ||||
\(169\) | − | 105.408i | − | 0.623715i | ||||||
\(170\) | 15.6862 | + | 26.8443i | 0.0922720 | + | 0.157908i | ||||
\(171\) | 144.857 | + | 54.6574i | 0.847117 | + | 0.319634i | ||||
\(172\) | 105.288 | − | 28.2117i | 0.612137 | − | 0.164022i | ||||
\(173\) | 73.5490 | + | 19.7074i | 0.425139 | + | 0.113916i | 0.465043 | − | 0.885288i | \(-0.346039\pi\) |
−0.0399046 | + | 0.999203i | \(0.512705\pi\) | |||||||
\(174\) | −124.810 | + | 10.1818i | −0.717299 | + | 0.0585161i | ||||
\(175\) | 143.213 | + | 100.574i | 0.818357 | + | 0.574710i | ||||
\(176\) | 14.9847i | 0.0851402i | ||||||||
\(177\) | −234.278 | − | 42.7286i | −1.32360 | − | 0.241404i | ||||
\(178\) | 148.815 | − | 39.8749i | 0.836041 | − | 0.224016i | ||||
\(179\) | −170.766 | + | 295.775i | −0.953998 | + | 1.65237i | −0.217354 | + | 0.976093i | \(0.569743\pi\) |
−0.736644 | + | 0.676281i | \(0.763591\pi\) | |||||||
\(180\) | 57.4009 | + | 69.3191i | 0.318894 | + | 0.385106i | ||||
\(181\) | − | 139.336i | − | 0.769813i | −0.922956 | − | 0.384907i | \(-0.874234\pi\) | ||
0.922956 | − | 0.384907i | \(-0.125766\pi\) | |||||||
\(182\) | −71.9369 | + | 32.5134i | −0.395258 | + | 0.178645i | ||||
\(183\) | −106.820 | + | 125.796i | −0.583714 | + | 0.687410i | ||||
\(184\) | −90.5472 | + | 52.2774i | −0.492104 | + | 0.284116i | ||||
\(185\) | −117.723 | + | 32.2043i | −0.636338 | + | 0.174077i | ||||
\(186\) | 48.8070 | + | 23.1087i | 0.262403 | + | 0.124240i | ||||
\(187\) | −15.9106 | − | 4.26323i | −0.0850833 | − | 0.0227980i | ||||
\(188\) | −39.9914 | + | 39.9914i | −0.212720 | + | 0.212720i | ||||
\(189\) | −151.561 | − | 112.917i | −0.801910 | − | 0.597445i | ||||
\(190\) | 85.5634 | − | 86.4628i | 0.450334 | − | 0.455067i | ||||
\(191\) | 87.2796 | − | 50.3909i | 0.456961 | − | 0.263827i | −0.253804 | − | 0.967256i | \(-0.581682\pi\) |
0.710766 | + | 0.703429i | \(0.248349\pi\) | |||||||
\(192\) | 8.07600 | + | 22.6004i | 0.0420625 | + | 0.117710i | ||||
\(193\) | 7.05482 | + | 26.3290i | 0.0365535 | + | 0.136419i | 0.981791 | − | 0.189963i | \(-0.0608369\pi\) |
−0.945238 | + | 0.326383i | \(0.894170\pi\) | |||||||
\(194\) | 30.8817 | − | 17.8295i | 0.159184 | − | 0.0919049i | ||||
\(195\) | 10.3490 | + | 119.169i | 0.0530719 | + | 0.611121i | ||||
\(196\) | −73.5597 | − | 64.7532i | −0.375304 | − | 0.330373i | ||||
\(197\) | −176.862 | + | 176.862i | −0.897779 | + | 0.897779i | −0.995239 | − | 0.0974606i | \(-0.968928\pi\) |
0.0974606 | + | 0.995239i | \(0.468928\pi\) | |||||||
\(198\) | −47.4475 | − | 4.71286i | −0.239634 | − | 0.0238023i | ||||
\(199\) | −4.04297 | + | 7.00263i | −0.0203164 | + | 0.0351891i | −0.876005 | − | 0.482302i | \(-0.839801\pi\) |
0.855688 | + | 0.517491i | \(0.173134\pi\) | |||||||
\(200\) | 68.1062 | − | 19.0144i | 0.340531 | − | 0.0950722i | ||||
\(201\) | −203.760 | + | 140.899i | −1.01373 | + | 0.700992i | ||||
\(202\) | 181.764 | − | 181.764i | 0.899821 | − | 0.899821i | ||||
\(203\) | 20.4431 | − | 205.596i | 0.100705 | − | 1.01279i | ||||
\(204\) | −26.2946 | + | 2.14507i | −0.128895 | + | 0.0105150i | ||||
\(205\) | −66.1725 | − | 113.243i | −0.322793 | − | 0.552403i | ||||
\(206\) | 65.9175 | − | 114.172i | 0.319988 | − | 0.554235i | ||||
\(207\) | −137.053 | − | 303.150i | −0.662092 | − | 1.46449i | ||||
\(208\) | −8.25578 | + | 30.8110i | −0.0396913 | + | 0.148130i | ||||
\(209\) | 64.4448i | 0.308348i | ||||||||
\(210\) | −129.515 | + | 72.6354i | −0.616737 | + | 0.345883i | ||||
\(211\) | 65.2730 | 0.309351 | 0.154675 | − | 0.987965i | \(-0.450567\pi\) | ||||
0.154675 | + | 0.987965i | \(0.450567\pi\) | |||||||
\(212\) | 14.1924 | + | 3.80283i | 0.0669451 | + | 0.0179379i | ||||
\(213\) | 87.7754 | + | 245.637i | 0.412091 | + | 1.15322i | ||||
\(214\) | −189.965 | − | 109.676i | −0.887685 | − | 0.512505i | ||||
\(215\) | 263.584 | + | 69.1522i | 1.22597 | + | 0.321638i | ||||
\(216\) | −74.1019 | + | 18.4637i | −0.343064 | + | 0.0854802i | ||||
\(217\) | −51.9648 | + | 72.3742i | −0.239469 | + | 0.333522i | ||||
\(218\) | −100.487 | − | 100.487i | −0.460948 | − | 0.460948i | ||||
\(219\) | 23.8915 | − | 16.5209i | 0.109094 | − | 0.0754381i | ||||
\(220\) | −18.5610 | + | 32.5403i | −0.0843681 | + | 0.147910i | ||||
\(221\) | −30.3660 | − | 17.5318i | −0.137403 | − | 0.0793295i | ||||
\(222\) | 18.5814 | − | 101.881i | 0.0837000 | − | 0.458922i | ||||
\(223\) | −6.16064 | − | 6.16064i | −0.0276262 | − | 0.0276262i | 0.693159 | − | 0.720785i | \(-0.256218\pi\) |
−0.720785 | + | 0.693159i | \(0.756218\pi\) | |||||||
\(224\) | −39.0751 | + | 6.41390i | −0.174442 | + | 0.0286335i | ||||
\(225\) | 38.7871 | + | 221.632i | 0.172387 | + | 0.985029i | ||||
\(226\) | 123.013 | + | 213.064i | 0.544304 | + | 0.942762i | ||||
\(227\) | 17.8986 | − | 4.79592i | 0.0788485 | − | 0.0211274i | −0.219179 | − | 0.975685i | \(-0.570338\pi\) |
0.298028 | + | 0.954557i | \(0.403671\pi\) | |||||||
\(228\) | 34.7325 | + | 97.1978i | 0.152336 | + | 0.426306i | ||||
\(229\) | 79.1498 | + | 137.092i | 0.345633 | + | 0.598653i | 0.985468 | − | 0.169858i | \(-0.0543310\pi\) |
−0.639836 | + | 0.768512i | \(0.720998\pi\) | |||||||
\(230\) | −261.384 | + | 1.36656i | −1.13645 | + | 0.00594157i | ||||
\(231\) | 21.7036 | − | 75.6165i | 0.0939550 | − | 0.327344i | ||||
\(232\) | −59.0315 | − | 59.0315i | −0.254446 | − | 0.254446i | ||||
\(233\) | 40.1774 | − | 149.944i | 0.172435 | − | 0.643536i | −0.824539 | − | 0.565805i | \(-0.808566\pi\) |
0.996974 | − | 0.0777315i | \(-0.0247677\pi\) | |||||||
\(234\) | −94.9634 | − | 35.8315i | −0.405826 | − | 0.153126i | ||||
\(235\) | −136.380 | + | 37.3082i | −0.580340 | + | 0.158758i | ||||
\(236\) | −79.3808 | − | 137.492i | −0.336360 | − | 0.582592i | ||||
\(237\) | −301.931 | + | 355.568i | −1.27397 | + | 1.50029i | ||||
\(238\) | 4.30687 | − | 43.3143i | 0.0180961 | − | 0.181993i | ||||
\(239\) | 370.794 | 1.55144 | 0.775720 | − | 0.631078i | \(-0.217387\pi\) | ||||
0.775720 | + | 0.631078i | \(0.217387\pi\) | |||||||
\(240\) | −10.4567 | + | 59.0818i | −0.0435697 | + | 0.246174i | ||||
\(241\) | 148.156 | + | 85.5377i | 0.614754 | + | 0.354928i | 0.774824 | − | 0.632177i | \(-0.217839\pi\) |
−0.160070 | + | 0.987106i | \(0.551172\pi\) | |||||||
\(242\) | 39.1524 | + | 146.119i | 0.161787 | + | 0.603796i | ||||
\(243\) | −35.1576 | − | 240.443i | −0.144681 | − | 0.989478i | ||||
\(244\) | −110.020 | −0.450903 | ||||||||
\(245\) | −79.5325 | − | 231.732i | −0.324622 | − | 0.945844i | ||||
\(246\) | 110.924 | − | 9.04897i | 0.450909 | − | 0.0367844i | ||||
\(247\) | −35.5057 | + | 132.509i | −0.143748 | + | 0.536475i | ||||
\(248\) | 9.31770 | + | 34.7741i | 0.0375714 | + | 0.140218i | ||||
\(249\) | 124.467 | − | 262.881i | 0.499866 | − | 1.05575i | ||||
\(250\) | 171.450 | + | 43.0695i | 0.685799 | + | 0.172278i | ||||
\(251\) | 423.501 | 1.68725 | 0.843627 | − | 0.536930i | \(-0.180416\pi\) | ||||
0.843627 | + | 0.536930i | \(0.180416\pi\) | |||||||
\(252\) | −8.01939 | − | 125.745i | −0.0318230 | − | 0.498986i | ||||
\(253\) | 97.9200 | − | 97.9200i | 0.387036 | − | 0.387036i | ||||
\(254\) | 102.528 | + | 177.583i | 0.403652 | + | 0.699146i | ||||
\(255\) | −59.7575 | − | 27.9120i | −0.234343 | − | 0.109459i | ||||
\(256\) | −8.00000 | + | 13.8564i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 34.3610 | − | 128.237i | 0.133701 | − | 0.498977i | −0.866299 | − | 0.499525i | \(-0.833508\pi\) |
1.00000 | 0.000548025i | \(0.000174442\pi\) | ||||||||
\(258\) | −149.667 | + | 176.255i | −0.580105 | + | 0.683161i | ||||
\(259\) | 159.860 | + | 60.3371i | 0.617218 | + | 0.232962i | ||||
\(260\) | −56.0925 | + | 56.6821i | −0.215740 | + | 0.218008i | ||||
\(261\) | 205.483 | − | 168.351i | 0.787293 | − | 0.645024i | ||||
\(262\) | 15.8468 | + | 59.1410i | 0.0604840 | + | 0.225729i | ||||
\(263\) | 89.9104 | − | 24.0914i | 0.341865 | − | 0.0916023i | −0.0838020 | − | 0.996482i | \(-0.526706\pi\) |
0.425667 | + | 0.904880i | \(0.360040\pi\) | |||||||
\(264\) | −18.0793 | − | 26.1452i | −0.0684823 | − | 0.0990348i | ||||
\(265\) | 26.1093 | + | 25.8377i | 0.0985256 | + | 0.0975007i | ||||
\(266\) | −168.051 | + | 27.5843i | −0.631769 | + | 0.103701i | ||||
\(267\) | −211.542 | + | 249.122i | −0.792292 | + | 0.933042i | ||||
\(268\) | −159.527 | − | 42.7450i | −0.595249 | − | 0.159496i | ||||
\(269\) | 248.794 | + | 143.641i | 0.924885 | + | 0.533982i | 0.885190 | − | 0.465229i | \(-0.154028\pi\) |
0.0396946 | + | 0.999212i | \(0.487361\pi\) | |||||||
\(270\) | −183.788 | − | 51.6921i | −0.680695 | − | 0.191452i | ||||
\(271\) | 74.1622 | − | 42.8176i | 0.273661 | − | 0.157998i | −0.356889 | − | 0.934147i | \(-0.616163\pi\) |
0.630550 | + | 0.776148i | \(0.282829\pi\) | |||||||
\(272\) | −12.4365 | − | 12.4365i | −0.0457226 | − | 0.0457226i | ||||
\(273\) | 86.2870 | − | 143.523i | 0.316070 | − | 0.525724i | ||||
\(274\) | 167.444i | 0.611109i | ||||||||
\(275\) | −80.6129 | + | 47.6726i | −0.293138 | + | 0.173355i | ||||
\(276\) | 94.9124 | − | 200.460i | 0.343885 | − | 0.726306i | ||||
\(277\) | −171.196 | + | 45.8720i | −0.618038 | + | 0.165603i | −0.554236 | − | 0.832360i | \(-0.686989\pi\) |
−0.0638022 | + | 0.997963i | \(0.520323\pi\) | |||||||
\(278\) | −351.802 | − | 94.2650i | −1.26547 | − | 0.339083i | ||||
\(279\) | −113.039 | + | 18.5667i | −0.405159 | + | 0.0665472i | ||||
\(280\) | −92.7989 | − | 34.4727i | −0.331425 | − | 0.123117i | ||||
\(281\) | − | 318.359i | − | 1.13295i | −0.824079 | − | 0.566475i | \(-0.808307\pi\) | ||
0.824079 | − | 0.566475i | \(-0.191693\pi\) | |||||||
\(282\) | 21.5263 | − | 118.027i | 0.0763344 | − | 0.418536i | ||||
\(283\) | −414.479 | + | 111.059i | −1.46459 | + | 0.392436i | −0.901073 | − | 0.433668i | \(-0.857219\pi\) |
−0.563518 | + | 0.826104i | \(0.690552\pi\) | |||||||
\(284\) | −86.9495 | + | 150.601i | −0.306160 | + | 0.530285i | ||||
\(285\) | −44.9713 | + | 254.094i | −0.157794 | + | 0.891557i | ||||
\(286\) | − | 42.2478i | − | 0.147720i | ||||||
\(287\) | −18.1685 | + | 182.722i | −0.0633050 | + | 0.636661i | ||||
\(288\) | −41.3588 | − | 29.6892i | −0.143607 | − | 0.103087i | ||||
\(289\) | −233.538 | + | 134.833i | −0.808090 | + | 0.466551i | ||||
\(290\) | −55.0708 | − | 201.311i | −0.189899 | − | 0.694176i | ||||
\(291\) | −32.3705 | + | 68.3683i | −0.111239 | + | 0.234943i | ||||
\(292\) | 18.7050 | + | 5.01200i | 0.0640583 | + | 0.0171644i | ||||
\(293\) | 100.146 | − | 100.146i | 0.341794 | − | 0.341794i | −0.515247 | − | 0.857041i | \(-0.672300\pi\) |
0.857041 | + | 0.515247i | \(0.172300\pi\) | |||||||
\(294\) | 206.473 | + | 24.2297i | 0.702288 | + | 0.0824138i | ||||
\(295\) | −2.07506 | − | 396.899i | −0.00703410 | − | 1.34542i | ||||
\(296\) | 59.7911 | − | 34.5204i | 0.201997 | − | 0.116623i | ||||
\(297\) | 88.4722 | − | 49.0234i | 0.297886 | − | 0.165062i | ||||
\(298\) | 58.7164 | + | 219.133i | 0.197035 | + | 0.735344i | ||||
\(299\) | 255.289 | − | 147.391i | 0.853809 | − | 0.492947i | ||||
\(300\) | −95.8900 | + | 115.348i | −0.319633 | + | 0.384493i | ||||
\(301\) | −241.750 | − | 295.134i | −0.803156 | − | 0.980511i | ||||
\(302\) | −187.452 | + | 187.452i | −0.620703 | + | 0.620703i | ||||
\(303\) | −97.8386 | + | 536.442i | −0.322900 | + | 1.77044i | ||||
\(304\) | −34.4057 | + | 59.5924i | −0.113177 | + | 0.196028i | ||||
\(305\) | −238.917 | − | 136.278i | −0.783334 | − | 0.446814i | ||||
\(306\) | 43.2905 | − | 35.4676i | 0.141472 | − | 0.115907i | ||||
\(307\) | 144.662 | − | 144.662i | 0.471211 | − | 0.471211i | −0.431095 | − | 0.902306i | \(-0.641873\pi\) |
0.902306 | + | 0.431095i | \(0.141873\pi\) | |||||||
\(308\) | 47.7917 | − | 21.6004i | 0.155168 | − | 0.0701313i | ||||
\(309\) | 22.7390 | + | 278.738i | 0.0735889 | + | 0.902065i | ||||
\(310\) | −22.8394 | + | 87.0559i | −0.0736756 | + | 0.280826i | ||||
\(311\) | −134.123 | + | 232.309i | −0.431265 | + | 0.746973i | −0.996983 | − | 0.0776260i | \(-0.975266\pi\) |
0.565717 | + | 0.824599i | \(0.308599\pi\) | |||||||
\(312\) | −22.7695 | − | 63.7196i | −0.0729791 | − | 0.204230i | ||||
\(313\) | 121.681 | − | 454.120i | 0.388757 | − | 1.45086i | −0.443400 | − | 0.896324i | \(-0.646228\pi\) |
0.832158 | − | 0.554539i | \(-0.187105\pi\) | |||||||
\(314\) | − | 0.150818i | − | 0.000480311i | ||||||
\(315\) | 138.341 | − | 282.996i | 0.439176 | − | 0.898401i | ||||
\(316\) | −310.978 | −0.984106 | ||||||||
\(317\) | −257.801 | − | 69.0776i | −0.813253 | − | 0.217910i | −0.171858 | − | 0.985122i | \(-0.554977\pi\) |
−0.641394 | + | 0.767211i | \(0.721644\pi\) | |||||||
\(318\) | −29.3510 | + | 10.4882i | −0.0922986 | + | 0.0329819i | ||||
\(319\) | 95.7573 | + | 55.2855i | 0.300180 | + | 0.173309i | ||||
\(320\) | −34.5360 | + | 20.1808i | −0.107925 | + | 0.0630651i | ||||
\(321\) | 463.776 | − | 37.8340i | 1.44478 | − | 0.117863i | ||||
\(322\) | 297.256 | + | 213.430i | 0.923155 | + | 0.662827i | ||||
\(323\) | −53.4860 | − | 53.4860i | −0.165591 | − | 0.165591i | ||||
\(324\) | 107.016 | − | 121.621i | 0.330295 | − | 0.375373i | ||||
\(325\) | −192.019 | + | 53.6093i | −0.590827 | + | 0.164952i | ||||
\(326\) | 308.358 | + | 178.031i | 0.945884 | + | 0.546106i | ||||
\(327\) | 296.568 | + | 54.0893i | 0.906935 | + | 0.165411i | ||||
\(328\) | 52.4636 | + | 52.4636i | 0.159950 | + | 0.159950i | ||||
\(329\) | 185.195 | + | 69.8996i | 0.562902 | + | 0.212461i | ||||
\(330\) | −6.87542 | − | 79.1703i | −0.0208346 | − | 0.239910i | ||||
\(331\) | 206.482 | + | 357.637i | 0.623811 | + | 1.08047i | 0.988769 | + | 0.149449i | \(0.0477500\pi\) |
−0.364958 | + | 0.931024i | \(0.618917\pi\) | |||||||
\(332\) | 187.298 | − | 50.1864i | 0.564151 | − | 0.151164i | ||||
\(333\) | 90.5003 | + | 200.180i | 0.271773 | + | 0.601140i | ||||
\(334\) | −179.100 | − | 310.210i | −0.536227 | − | 0.928772i | ||||
\(335\) | −293.476 | − | 290.424i | −0.876049 | − | 0.866936i | ||||
\(336\) | 60.4395 | − | 58.3358i | 0.179879 | − | 0.173619i | ||||
\(337\) | 9.78615 | + | 9.78615i | 0.0290390 | + | 0.0290390i | 0.721477 | − | 0.692438i | \(-0.243463\pi\) |
−0.692438 | + | 0.721477i | \(0.743463\pi\) | |||||||
\(338\) | −38.5819 | + | 143.990i | −0.114148 | + | 0.426005i | ||||
\(339\) | −471.699 | − | 223.336i | −1.39144 | − | 0.658808i | ||||
\(340\) | −11.6021 | − | 42.4115i | −0.0341239 | − | 0.124740i | ||||
\(341\) | −23.8410 | − | 41.2939i | −0.0699150 | − | 0.121096i | ||||
\(342\) | −177.872 | − | 127.685i | −0.520095 | − | 0.373347i | ||||
\(343\) | −100.485 | + | 327.951i | −0.292960 | + | 0.956125i | ||||
\(344\) | −154.152 | −0.448116 | ||||||||
\(345\) | 454.412 | − | 317.749i | 1.31714 | − | 0.921012i | ||||
\(346\) | −93.2564 | − | 53.8416i | −0.269527 | − | 0.155612i | ||||
\(347\) | −74.2461 | − | 277.090i | −0.213966 | − | 0.798530i | −0.986528 | − | 0.163592i | \(-0.947692\pi\) |
0.772563 | − | 0.634939i | \(-0.218975\pi\) | |||||||
\(348\) | 174.221 | + | 31.7751i | 0.500634 | + | 0.0913077i | ||||
\(349\) | 494.587 | 1.41715 | 0.708577 | − | 0.705633i | \(-0.249337\pi\) | ||||
0.708577 | + | 0.705633i | \(0.249337\pi\) | |||||||
\(350\) | −158.819 | − | 189.806i | −0.453769 | − | 0.542304i | ||||
\(351\) | 208.923 | − | 52.0567i | 0.595222 | − | 0.148310i | ||||
\(352\) | 5.48477 | − | 20.4694i | 0.0155817 | − | 0.0581518i | ||||
\(353\) | 160.565 | + | 599.237i | 0.454859 | + | 1.69756i | 0.688503 | + | 0.725233i | \(0.258268\pi\) |
−0.233644 | + | 0.972322i | \(0.575065\pi\) | |||||||
\(354\) | 304.390 | + | 144.120i | 0.859858 | + | 0.407119i | ||||
\(355\) | −375.361 | + | 219.339i | −1.05735 | + | 0.617857i | ||||
\(356\) | −217.881 | −0.612024 | ||||||||
\(357\) | 44.7450 | + | 80.7709i | 0.125336 | + | 0.226249i | ||||
\(358\) | 341.531 | − | 341.531i | 0.953998 | − | 0.953998i | ||||
\(359\) | 134.178 | + | 232.404i | 0.373756 | + | 0.647364i | 0.990140 | − | 0.140081i | \(-0.0447364\pi\) |
−0.616384 | + | 0.787446i | \(0.711403\pi\) | |||||||
\(360\) | −53.0386 | − | 115.702i | −0.147329 | − | 0.321394i | ||||
\(361\) | 32.5310 | − | 56.3453i | 0.0901135 | − | 0.156081i | ||||
\(362\) | −51.0006 | + | 190.337i | −0.140886 | + | 0.525792i | ||||
\(363\) | −244.608 | − | 207.709i | −0.673851 | − | 0.572200i | ||||
\(364\) | 110.168 | − | 18.0834i | 0.302660 | − | 0.0496796i | ||||
\(365\) | 34.4111 | + | 34.0532i | 0.0942770 | + | 0.0932963i | ||||
\(366\) | 191.963 | − | 132.742i | 0.524489 | − | 0.362683i | ||||
\(367\) | −62.5507 | − | 233.442i | −0.170438 | − | 0.636083i | −0.997284 | − | 0.0736543i | \(-0.976534\pi\) |
0.826846 | − | 0.562428i | \(-0.190133\pi\) | |||||||
\(368\) | 142.825 | − | 38.2697i | 0.388110 | − | 0.103994i | ||||
\(369\) | −182.621 | + | 149.620i | −0.494908 | + | 0.405475i | ||||
\(370\) | 172.600 | − | 0.902382i | 0.466486 | − | 0.00243887i | ||||
\(371\) | −8.32968 | − | 50.7465i | −0.0224520 | − | 0.136783i | ||||
\(372\) | −58.2132 | − | 49.4317i | −0.156487 | − | 0.132881i | ||||
\(373\) | 625.194 | + | 167.520i | 1.67612 | + | 0.449116i | 0.966751 | − | 0.255719i | \(-0.0823120\pi\) |
0.709372 | + | 0.704834i | \(0.248979\pi\) | |||||||
\(374\) | 20.1738 | + | 11.6474i | 0.0539407 | + | 0.0311427i | ||||
\(375\) | −351.109 | + | 131.710i | −0.936290 | + | 0.351228i | ||||
\(376\) | 69.2671 | − | 39.9914i | 0.184221 | − | 0.106360i | ||||
\(377\) | 166.434 | + | 166.434i | 0.441468 | + | 0.441468i | ||||
\(378\) | 165.706 | + | 209.723i | 0.438375 | + | 0.554822i | ||||
\(379\) | − | 176.481i | − | 0.465649i | −0.972519 | − | 0.232824i | \(-0.925203\pi\) | ||
0.972519 | − | 0.232824i | \(-0.0747968\pi\) | |||||||
\(380\) | −148.529 | + | 86.7920i | −0.390867 | + | 0.228400i | ||||
\(381\) | −393.148 | − | 186.144i | −1.03188 | − | 0.488568i | ||||
\(382\) | −137.671 | + | 36.8887i | −0.360394 | + | 0.0965673i | ||||
\(383\) | 465.776 | + | 124.804i | 1.21613 | + | 0.325860i | 0.809163 | − | 0.587585i | \(-0.199921\pi\) |
0.406963 | + | 0.913445i | \(0.366588\pi\) | |||||||
\(384\) | −2.75969 | − | 33.8287i | −0.00718670 | − | 0.0880957i | ||||
\(385\) | 130.539 | + | 12.2910i | 0.339061 | + | 0.0319246i | ||||
\(386\) | − | 38.5483i | − | 0.0998660i | ||||||
\(387\) | 48.4826 | − | 488.106i | 0.125278 | − | 1.26126i | ||||
\(388\) | −48.7112 | + | 13.0521i | −0.125544 | + | 0.0336395i | ||||
\(389\) | −276.163 | + | 478.329i | −0.709931 | + | 1.22964i | 0.254951 | + | 0.966954i | \(0.417941\pi\) |
−0.964882 | + | 0.262683i | \(0.915393\pi\) | |||||||
\(390\) | 29.4817 | − | 166.575i | 0.0755941 | − | 0.427116i | ||||
\(391\) | 162.538i | 0.415697i | ||||||||
\(392\) | 76.7831 | + | 115.379i | 0.195875 | + | 0.294335i | ||||
\(393\) | −99.0043 | − | 84.0695i | −0.251919 | − | 0.213917i | ||||
\(394\) | 306.335 | − | 176.862i | 0.777499 | − | 0.448889i | ||||
\(395\) | −675.309 | − | 385.197i | −1.70964 | − | 0.975182i | ||||
\(396\) | 63.0894 | + | 23.8049i | 0.159317 | + | 0.0601133i | ||||
\(397\) | −162.344 | − | 43.4998i | −0.408926 | − | 0.109571i | 0.0484914 | − | 0.998824i | \(-0.484559\pi\) |
−0.457417 | + | 0.889252i | \(0.651225\pi\) | |||||||
\(398\) | 8.08594 | − | 8.08594i | 0.0203164 | − | 0.0203164i | ||||
\(399\) | 259.933 | − | 250.886i | 0.651461 | − | 0.628786i | ||||
\(400\) | −99.9945 | + | 1.04561i | −0.249986 | + | 0.00261402i | ||||
\(401\) | 143.692 | − | 82.9605i | 0.358334 | − | 0.206884i | −0.310016 | − | 0.950731i | \(-0.600334\pi\) |
0.668350 | + | 0.743847i | \(0.267001\pi\) | |||||||
\(402\) | 329.914 | − | 117.891i | 0.820681 | − | 0.293261i | ||||
\(403\) | −26.2703 | − | 98.0422i | −0.0651869 | − | 0.243281i | ||||
\(404\) | −314.824 | + | 181.764i | −0.779268 | + | 0.449911i | ||||
\(405\) | 383.039 | − | 131.552i | 0.945776 | − | 0.324819i | ||||
\(406\) | −103.179 | + | 273.367i | −0.254136 | + | 0.673318i | ||||
\(407\) | −64.6596 | + | 64.6596i | −0.158869 | + | 0.158869i | ||||
\(408\) | 36.7042 | + | 6.69426i | 0.0899612 | + | 0.0164075i | ||||
\(409\) | −147.497 | + | 255.473i | −0.360629 | + | 0.624628i | −0.988065 | − | 0.154041i | \(-0.950771\pi\) |
0.627435 | + | 0.778669i | \(0.284105\pi\) | |||||||
\(410\) | 48.9436 | + | 178.913i | 0.119375 | + | 0.436374i | ||||
\(411\) | −202.025 | − | 292.155i | −0.491544 | − | 0.710840i | ||||
\(412\) | −131.835 | + | 131.835i | −0.319988 | + | 0.319988i | ||||
\(413\) | −324.084 | + | 451.369i | −0.784707 | + | 1.09290i | ||||
\(414\) | 76.2572 | + | 464.276i | 0.184196 | + | 1.12144i | ||||
\(415\) | 468.895 | + | 123.016i | 1.12987 | + | 0.296424i | ||||
\(416\) | 22.5552 | − | 39.0668i | 0.0542193 | − | 0.0939105i | ||||
\(417\) | 727.554 | − | 259.983i | 1.74473 | − | 0.623461i | ||||
\(418\) | 23.5884 | − | 88.0332i | 0.0564316 | − | 0.210606i | ||||
\(419\) | − | 74.6773i | − | 0.178227i | −0.996021 | − | 0.0891137i | \(-0.971597\pi\) | ||
0.996021 | − | 0.0891137i | \(-0.0284035\pi\) | |||||||
\(420\) | 203.507 | − | 51.8161i | 0.484540 | − | 0.123372i | ||||
\(421\) | 326.906 | 0.776499 | 0.388249 | − | 0.921554i | \(-0.373080\pi\) | ||||
0.388249 | + | 0.921554i | \(0.373080\pi\) | |||||||
\(422\) | −89.1646 | − | 23.8916i | −0.211291 | − | 0.0566151i | ||||
\(423\) | 104.843 | + | 231.905i | 0.247857 | + | 0.548239i | ||||
\(424\) | −17.9952 | − | 10.3895i | −0.0424415 | − | 0.0245036i | ||||
\(425\) | 27.3388 | − | 106.471i | 0.0643266 | − | 0.250519i | ||||
\(426\) | −29.9942 | − | 367.674i | −0.0704090 | − | 0.863084i | ||||
\(427\) | 158.595 | + | 350.896i | 0.371416 | + | 0.821770i | ||||
\(428\) | 219.352 | + | 219.352i | 0.512505 | + | 0.512505i | ||||
\(429\) | 50.9729 | + | 73.7138i | 0.118818 | + | 0.171827i | ||||
\(430\) | −334.751 | − | 190.942i | −0.778491 | − | 0.444052i | ||||
\(431\) | −122.945 | − | 70.9823i | −0.285255 | − | 0.164692i | 0.350545 | − | 0.936546i | \(-0.385996\pi\) |
−0.635800 | + | 0.771854i | \(0.719330\pi\) | |||||||
\(432\) | 107.983 | + | 1.90126i | 0.249961 | + | 0.00440107i | ||||
\(433\) | −61.0659 | − | 61.0659i | −0.141030 | − | 0.141030i | 0.633067 | − | 0.774097i | \(-0.281796\pi\) |
−0.774097 | + | 0.633067i | \(0.781796\pi\) | |||||||
\(434\) | 97.4760 | − | 79.8445i | 0.224599 | − | 0.183974i | ||||
\(435\) | 338.973 | + | 284.802i | 0.779249 | + | 0.654718i | ||||
\(436\) | 100.487 | + | 174.048i | 0.230474 | + | 0.399193i | ||||
\(437\) | 614.248 | − | 164.587i | 1.40560 | − | 0.376630i | ||||
\(438\) | −38.6835 | + | 13.8231i | −0.0883185 | + | 0.0315596i | ||||
\(439\) | −374.114 | − | 647.984i | −0.852195 | − | 1.47604i | −0.879223 | − | 0.476410i | \(-0.841938\pi\) |
0.0270281 | − | 0.999635i | \(-0.491396\pi\) | |||||||
\(440\) | 37.2653 | − | 37.6570i | 0.0846939 | − | 0.0855842i | ||||
\(441\) | −389.486 | + | 206.838i | −0.883188 | + | 0.469020i | ||||
\(442\) | 35.0636 | + | 35.0636i | 0.0793295 | + | 0.0793295i | ||||
\(443\) | 131.478 | − | 490.684i | 0.296791 | − | 1.10764i | −0.642994 | − | 0.765871i | \(-0.722308\pi\) |
0.939785 | − | 0.341767i | \(-0.111025\pi\) | |||||||
\(444\) | −62.6736 | + | 132.370i | −0.141157 | + | 0.298131i | ||||
\(445\) | −473.143 | − | 269.881i | −1.06324 | − | 0.606474i | ||||
\(446\) | 6.16064 | + | 10.6705i | 0.0138131 | + | 0.0239250i | ||||
\(447\) | −366.836 | − | 311.499i | −0.820663 | − | 0.696865i | ||||
\(448\) | 55.7252 | + | 5.54092i | 0.124387 | + | 0.0123681i | ||||
\(449\) | 405.923 | 0.904060 | 0.452030 | − | 0.892003i | \(-0.350700\pi\) | ||||
0.452030 | + | 0.892003i | \(0.350700\pi\) | |||||||
\(450\) | 28.1387 | − | 316.951i | 0.0625304 | − | 0.704337i | ||||
\(451\) | −85.1033 | − | 49.1344i | −0.188699 | − | 0.108945i | ||||
\(452\) | −90.0516 | − | 336.077i | −0.199229 | − | 0.743533i | ||||
\(453\) | 100.901 | − | 553.231i | 0.222739 | − | 1.22126i | ||||
\(454\) | −26.2054 | −0.0577211 | ||||||||
\(455\) | 261.637 | + | 97.1923i | 0.575027 | + | 0.213609i | ||||
\(456\) | −11.8686 | − | 145.488i | −0.0260277 | − | 0.319052i | ||||
\(457\) | −56.8867 | + | 212.304i | −0.124478 | + | 0.464560i | −0.999821 | − | 0.0189442i | \(-0.993970\pi\) |
0.875342 | + | 0.483504i | \(0.160636\pi\) | |||||||
\(458\) | −57.9417 | − | 216.241i | −0.126510 | − | 0.472143i | ||||
\(459\) | −32.7406 | + | 114.115i | −0.0713303 | + | 0.248616i | ||||
\(460\) | 357.557 | + | 93.8063i | 0.777297 | + | 0.203927i | ||||
\(461\) | 7.26924 | 0.0157684 | 0.00788421 | − | 0.999969i | \(-0.497490\pi\) | ||||
0.00788421 | + | 0.999969i | \(0.497490\pi\) | |||||||
\(462\) | −57.3252 | + | 95.3499i | −0.124081 | + | 0.206385i | ||||
\(463\) | −432.392 | + | 432.392i | −0.933893 | + | 0.933893i | −0.997946 | − | 0.0640535i | \(-0.979597\pi\) |
0.0640535 | + | 0.997946i | \(0.479597\pi\) | |||||||
\(464\) | 59.0315 | + | 102.246i | 0.127223 | + | 0.220357i | ||||
\(465\) | −65.1847 | − | 179.451i | −0.140182 | − | 0.385916i | ||||
\(466\) | −109.767 | + | 190.121i | −0.235551 | + | 0.407986i | ||||
\(467\) | −21.7406 | + | 81.1369i | −0.0465537 | + | 0.173741i | −0.985288 | − | 0.170900i | \(-0.945333\pi\) |
0.938735 | + | 0.344641i | \(0.111999\pi\) | |||||||
\(468\) | 116.607 | + | 83.7058i | 0.249161 | + | 0.178859i | ||||
\(469\) | 93.6282 | + | 570.406i | 0.199634 | + | 1.21622i | ||||
\(470\) | 199.954 | − | 1.04540i | 0.425434 | − | 0.00222425i | ||||
\(471\) | 0.181965 | + | 0.263146i | 0.000386337 | + | 0.000558696i | ||||
\(472\) | 58.1108 | + | 216.872i | 0.123116 | + | 0.459476i | ||||
\(473\) | 197.213 | − | 52.8430i | 0.416940 | − | 0.111719i | ||||
\(474\) | 542.592 | − | 375.201i | 1.14471 | − | 0.791563i | ||||
\(475\) | −430.048 | + | 4.49686i | −0.905364 | + | 0.00946707i | ||||
\(476\) | −21.7374 | + | 57.5920i | −0.0456669 | + | 0.120992i | ||||
\(477\) | 38.5571 | − | 53.7124i | 0.0808325 | − | 0.112605i | ||||
\(478\) | −506.514 | − | 135.720i | −1.05965 | − | 0.283933i | ||||
\(479\) | −212.902 | − | 122.919i | −0.444472 | − | 0.256616i | 0.261021 | − | 0.965333i | \(-0.415941\pi\) |
−0.705493 | + | 0.708717i | \(0.749274\pi\) | |||||||
\(480\) | 35.9096 | − | 76.8798i | 0.0748116 | − | 0.160166i | ||||
\(481\) | −168.575 | + | 97.3269i | −0.350468 | + | 0.202343i | ||||
\(482\) | −171.075 | − | 171.075i | −0.354928 | − | 0.354928i | ||||
\(483\) | −776.159 | − | 13.7465i | −1.60695 | − | 0.0284607i | ||||
\(484\) | − | 213.932i | − | 0.442009i | ||||||
\(485\) | −121.947 | − | 31.9932i | −0.251437 | − | 0.0659654i | ||||
\(486\) | −39.9822 | + | 341.320i | −0.0822679 | + | 0.702305i | ||||
\(487\) | 33.4029 | − | 8.95029i | 0.0685892 | − | 0.0183784i | −0.224361 | − | 0.974506i | \(-0.572030\pi\) |
0.292950 | + | 0.956128i | \(0.405363\pi\) | |||||||
\(488\) | 150.291 | + | 40.2703i | 0.307973 | + | 0.0825210i | ||||
\(489\) | −752.819 | + | 61.4137i | −1.53951 | + | 0.125590i | ||||
\(490\) | 23.8237 | + | 345.662i | 0.0486199 | + | 0.705433i | ||||
\(491\) | − | 349.689i | − | 0.712197i | −0.934448 | − | 0.356099i | \(-0.884107\pi\) | ||
0.934448 | − | 0.356099i | \(-0.115893\pi\) | |||||||
\(492\) | −154.837 | − | 28.2398i | −0.314709 | − | 0.0573979i | ||||
\(493\) | −125.358 | + | 33.5896i | −0.254276 | + | 0.0681331i | ||||
\(494\) | 97.0035 | − | 168.015i | 0.196363 | − | 0.340111i | ||||
\(495\) | 107.517 | + | 129.840i | 0.217206 | + | 0.262304i | ||||
\(496\) | − | 50.9129i | − | 0.102647i | ||||||
\(497\) | 605.660 | + | 60.2225i | 1.21863 | + | 0.121172i | ||||
\(498\) | −266.246 | + | 313.544i | −0.534630 | + | 0.629606i | ||||
\(499\) | −348.423 | + | 201.162i | −0.698243 | + | 0.403131i | −0.806693 | − | 0.590971i | \(-0.798745\pi\) |
0.108450 | + | 0.994102i | \(0.465411\pi\) | |||||||
\(500\) | −218.440 | − | 121.589i | −0.436880 | − | 0.243178i | ||||
\(501\) | 686.767 | + | 325.165i | 1.37079 | + | 0.649031i | ||||
\(502\) | −578.513 | − | 155.012i | −1.15242 | − | 0.308789i | ||||
\(503\) | −90.3121 | + | 90.3121i | −0.179547 | + | 0.179547i | −0.791158 | − | 0.611611i | \(-0.790522\pi\) |
0.611611 | + | 0.791158i | \(0.290522\pi\) | |||||||
\(504\) | −35.0710 | + | 174.706i | −0.0695853 | + | 0.346638i | ||||
\(505\) | −908.807 | + | 4.75141i | −1.79962 | + | 0.00940873i | ||||
\(506\) | −169.602 | + | 97.9200i | −0.335183 | + | 0.193518i | ||||
\(507\) | −106.409 | − | 297.782i | −0.209880 | − | 0.587342i | ||||
\(508\) | −75.0555 | − | 280.111i | −0.147747 | − | 0.551399i | ||||
\(509\) | −350.651 | + | 202.448i | −0.688902 | + | 0.397738i | −0.803200 | − | 0.595709i | \(-0.796871\pi\) |
0.114299 | + | 0.993446i | \(0.463538\pi\) | |||||||
\(510\) | 71.4137 | + | 60.0012i | 0.140027 | + | 0.117649i | ||||
\(511\) | −10.9782 | − | 66.8821i | −0.0214838 | − | 0.130885i | ||||
\(512\) | 16.0000 | − | 16.0000i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | 464.405 | + | 8.17678i | 0.905273 | + | 0.0159391i | ||||
\(514\) | −93.8761 | + | 162.598i | −0.182638 | + | 0.316339i | ||||
\(515\) | −449.588 | + | 122.989i | −0.872986 | + | 0.238815i | ||||
\(516\) | 268.963 | − | 185.987i | 0.521246 | − | 0.360441i | ||||
\(517\) | −74.9072 | + | 74.9072i | −0.144888 | + | 0.144888i | ||||
\(518\) | −196.287 | − | 140.935i | −0.378933 | − | 0.272075i | ||||
\(519\) | 227.674 | − | 18.5733i | 0.438679 | − | 0.0357867i | ||||
\(520\) | 97.3708 | − | 56.8979i | 0.187252 | − | 0.109419i | ||||
\(521\) | −76.6393 | + | 132.743i | −0.147100 | + | 0.254785i | −0.930155 | − | 0.367168i | \(-0.880327\pi\) |
0.783054 | + | 0.621953i | \(0.213661\pi\) | |||||||
\(522\) | −342.316 | + | 154.760i | −0.655778 | + | 0.296475i | ||||
\(523\) | 36.8434 | − | 137.502i | 0.0704464 | − | 0.262909i | −0.921716 | − | 0.387866i | \(-0.873212\pi\) |
0.992162 | + | 0.124956i | \(0.0398791\pi\) | |||||||
\(524\) | − | 86.5885i | − | 0.165245i | ||||||
\(525\) | 506.112 | + | 139.554i | 0.964023 | + | 0.265818i | ||||
\(526\) | −131.638 | −0.250262 | ||||||||
\(527\) | 54.0588 | + | 14.4850i | 0.102578 | + | 0.0274858i | ||||
\(528\) | 15.1270 | + | 42.3325i | 0.0286497 | + | 0.0801751i | ||||
\(529\) | −725.266 | − | 418.732i | −1.37101 | − | 0.791555i | ||||
\(530\) | −26.2087 | − | 44.8516i | −0.0494503 | − | 0.0846256i | ||||
\(531\) | −704.981 | + | 115.793i | −1.32765 | + | 0.218066i | ||||
\(532\) | 239.658 | + | 23.8299i | 0.450485 | + | 0.0447931i | ||||
\(533\) | −147.916 | − | 147.916i | −0.277516 | − | 0.277516i | ||||
\(534\) | 380.157 | − | 262.878i | 0.711904 | − | 0.492280i | ||||
\(535\) | 204.635 | + | 748.042i | 0.382495 | + | 1.39821i | ||||
\(536\) | 202.272 | + | 116.782i | 0.377373 | + | 0.217876i | ||||
\(537\) | −183.837 | + | 1007.97i | −0.342341 | + | 1.87703i | ||||
\(538\) | −287.283 | − | 287.283i | −0.533982 | − | 0.533982i | ||||
\(539\) | −137.783 | − | 121.288i | −0.255628 | − | 0.225024i | ||||
\(540\) | 232.138 | + | 137.884i | 0.429885 | + | 0.255340i | ||||
\(541\) | 102.682 | + | 177.850i | 0.189800 | + | 0.328744i | 0.945184 | − | 0.326540i | \(-0.105883\pi\) |
−0.755383 | + | 0.655283i | \(0.772549\pi\) | |||||||
\(542\) | −116.980 | + | 31.3446i | −0.215830 | + | 0.0578314i | ||||
\(543\) | −140.660 | − | 393.632i | −0.259042 | − | 0.724920i | ||||
\(544\) | 12.4365 | + | 21.5407i | 0.0228613 | + | 0.0395969i | ||||
\(545\) | 2.62678 | + | 502.426i | 0.00481977 | + | 0.921883i | ||||
\(546\) | −170.403 | + | 164.472i | −0.312094 | + | 0.301231i | ||||
\(547\) | −125.258 | − | 125.258i | −0.228990 | − | 0.228990i | 0.583281 | − | 0.812271i | \(-0.301769\pi\) |
−0.812271 | + | 0.583281i | \(0.801769\pi\) | |||||||
\(548\) | 61.2887 | − | 228.733i | 0.111841 | − | 0.417395i | ||||
\(549\) | −174.780 | + | 463.215i | −0.318361 | + | 0.843743i | ||||
\(550\) | 127.569 | − | 35.6156i | 0.231943 | − | 0.0647557i | ||||
\(551\) | 253.877 | + | 439.729i | 0.460758 | + | 0.798056i | ||||
\(552\) | −203.026 | + | 239.094i | −0.367801 | + | 0.433141i | ||||
\(553\) | 448.275 | + | 991.822i | 0.810623 | + | 1.79353i | ||||
\(554\) | 250.649 | 0.452435 | ||||||||
\(555\) | −300.062 | + | 209.820i | −0.540652 | + | 0.378053i | ||||
\(556\) | 446.067 | + | 257.537i | 0.802278 | + | 0.463195i | ||||
\(557\) | −165.128 | − | 616.265i | −0.296459 | − | 1.10640i | −0.940052 | − | 0.341032i | \(-0.889223\pi\) |
0.643592 | − | 0.765368i | \(-0.277443\pi\) | |||||||
\(558\) | 161.210 | + | 16.0127i | 0.288908 | + | 0.0286966i | ||||
\(559\) | 434.616 | 0.777488 | ||||||||
\(560\) | 114.148 | + | 81.0573i | 0.203835 | + | 0.144745i | ||||
\(561\) | −49.2519 | + | 4.01789i | −0.0877931 | + | 0.00716201i | ||||
\(562\) | −116.527 | + | 434.886i | −0.207344 | + | 0.773819i | ||||
\(563\) | −133.603 | − | 498.612i | −0.237305 | − | 0.885635i | −0.977096 | − | 0.212798i | \(-0.931742\pi\) |
0.739791 | − | 0.672837i | \(-0.234924\pi\) | |||||||
\(564\) | −72.6064 | + | 153.349i | −0.128735 | + | 0.271895i | ||||
\(565\) | 220.733 | − | 841.358i | 0.390678 | − | 1.48913i | ||||
\(566\) | 606.839 | 1.07215 | ||||||||
\(567\) | −542.157 | − | 165.996i | −0.956185 | − | 0.292762i | ||||
\(568\) | 173.899 | − | 173.899i | 0.306160 | − | 0.306160i | ||||
\(569\) | −91.8656 | − | 159.116i | −0.161451 | − | 0.279641i | 0.773938 | − | 0.633261i | \(-0.218284\pi\) |
−0.935389 | + | 0.353620i | \(0.884951\pi\) | |||||||
\(570\) | 154.437 | − | 330.638i | 0.270942 | − | 0.580066i | ||||
\(571\) | 258.910 | − | 448.446i | 0.453433 | − | 0.785370i | −0.545163 | − | 0.838330i | \(-0.683532\pi\) |
0.998597 | + | 0.0529602i | \(0.0168657\pi\) | |||||||
\(572\) | −15.4638 | + | 57.7116i | −0.0270346 | + | 0.100894i | ||||
\(573\) | 195.700 | − | 230.466i | 0.341535 | − | 0.402209i | ||||
\(574\) | 91.6995 | − | 242.952i | 0.159755 | − | 0.423262i | ||||
\(575\) | 660.265 | + | 646.599i | 1.14829 | + | 1.12452i | ||||
\(576\) | 45.6302 | + | 55.6946i | 0.0792191 | + | 0.0966920i | ||||
\(577\) | 166.029 | + | 619.630i | 0.287746 | + | 1.07388i | 0.946809 | + | 0.321795i | \(0.104286\pi\) |
−0.659063 | + | 0.752087i | \(0.729047\pi\) | |||||||
\(578\) | 368.371 | − | 98.7048i | 0.637321 | − | 0.170770i | ||||
\(579\) | 46.5093 | + | 67.2588i | 0.0803269 | + | 0.116164i | ||||
\(580\) | 1.54312 | + | 295.153i | 0.00266054 | + | 0.508885i | ||||
\(581\) | −430.053 | − | 525.019i | −0.740195 | − | 0.903647i | ||||
\(582\) | 69.2434 | − | 81.5444i | 0.118975 | − | 0.140111i | ||||
\(583\) | 26.5835 | + | 7.12303i | 0.0455978 | + | 0.0122179i | ||||
\(584\) | −23.7170 | − | 13.6930i | −0.0406114 | − | 0.0234470i | ||||
\(585\) | 149.537 | + | 326.210i | 0.255619 | + | 0.557624i | ||||
\(586\) | −173.457 | + | 100.146i | −0.296002 | + | 0.170897i | ||||
\(587\) | −541.415 | − | 541.415i | −0.922343 | − | 0.922343i | 0.0748515 | − | 0.997195i | \(-0.476152\pi\) |
−0.997195 | + | 0.0748515i | \(0.976152\pi\) | |||||||
\(588\) | −273.178 | − | 108.673i | −0.464589 | − | 0.184817i | ||||
\(589\) | − | 218.962i | − | 0.371751i | ||||||
\(590\) | −142.440 | + | 542.933i | −0.241425 | + | 0.920226i | ||||
\(591\) | −321.103 | + | 678.188i | −0.543321 | + | 1.14753i | ||||
\(592\) | −94.3115 | + | 25.2707i | −0.159310 | + | 0.0426870i | ||||
\(593\) | −719.913 | − | 192.900i | −1.21402 | − | 0.325295i | −0.405681 | − | 0.914015i | \(-0.632966\pi\) |
−0.808338 | + | 0.588719i | \(0.799632\pi\) | |||||||
\(594\) | −138.799 | + | 34.5841i | −0.233669 | + | 0.0582224i | ||||
\(595\) | −118.542 | + | 98.1397i | −0.199229 | + | 0.164941i | ||||
\(596\) | − | 320.832i | − | 0.538309i | ||||||
\(597\) | −4.35245 | + | 23.8642i | −0.00729053 | + | 0.0399735i | ||||
\(598\) | −402.680 | + | 107.898i | −0.673378 | + | 0.180431i | ||||
\(599\) | 130.218 | − | 225.544i | 0.217392 | − | 0.376533i | −0.736618 | − | 0.676309i | \(-0.763578\pi\) |
0.954010 | + | 0.299775i | \(0.0969118\pi\) | |||||||
\(600\) | 173.208 | − | 122.470i | 0.288681 | − | 0.204116i | ||||
\(601\) | − | 241.172i | − | 0.401284i | −0.979665 | − | 0.200642i | \(-0.935697\pi\) | ||
0.979665 | − | 0.200642i | \(-0.0643028\pi\) | |||||||
\(602\) | 222.210 | + | 491.647i | 0.369120 | + | 0.816689i | ||||
\(603\) | −433.394 | + | 603.744i | −0.718730 | + | 1.00123i | ||||
\(604\) | 324.677 | − | 187.452i | 0.537545 | − | 0.310352i | ||||
\(605\) | 264.990 | − | 464.569i | 0.438001 | − | 0.767883i | ||||
\(606\) | 330.002 | − | 696.983i | 0.544557 | − | 1.15014i | ||||
\(607\) | 250.866 | + | 67.2194i | 0.413289 | + | 0.110740i | 0.459471 | − | 0.888193i | \(-0.348039\pi\) |
−0.0461826 | + | 0.998933i | \(0.514706\pi\) | |||||||
\(608\) | 68.8114 | − | 68.8114i | 0.113177 | − | 0.113177i | ||||
\(609\) | −149.797 | − | 601.457i | −0.245972 | − | 0.987615i | ||||
\(610\) | 276.485 | + | 273.609i | 0.453254 | + | 0.448540i | ||||
\(611\) | −195.292 | + | 112.752i | −0.319627 | + | 0.184536i | ||||
\(612\) | −72.1180 | + | 32.6043i | −0.117840 | + | 0.0532749i | ||||
\(613\) | 211.390 | + | 788.920i | 0.344846 | + | 1.28698i | 0.892792 | + | 0.450468i | \(0.148743\pi\) |
−0.547947 | + | 0.836513i | \(0.684590\pi\) | |||||||
\(614\) | −250.561 | + | 144.662i | −0.408081 | + | 0.235605i | ||||
\(615\) | −301.259 | − | 253.115i | −0.489852 | − | 0.411569i | ||||
\(616\) | −73.1909 | + | 12.0138i | −0.118816 | + | 0.0195029i | ||||
\(617\) | −440.576 | + | 440.576i | −0.714062 | + | 0.714062i | −0.967383 | − | 0.253320i | \(-0.918477\pi\) |
0.253320 | + | 0.967383i | \(0.418477\pi\) | |||||||
\(618\) | 70.9632 | − | 389.086i | 0.114827 | − | 0.629590i | ||||
\(619\) | 296.751 | − | 513.988i | 0.479404 | − | 0.830353i | −0.520317 | − | 0.853973i | \(-0.674186\pi\) |
0.999721 | + | 0.0236207i | \(0.00751939\pi\) | |||||||
\(620\) | 63.0639 | − | 110.561i | 0.101716 | − | 0.178324i | ||||
\(621\) | −693.212 | − | 718.060i | −1.11628 | − | 1.15630i | ||||
\(622\) | 268.247 | − | 268.247i | 0.431265 | − | 0.431265i | ||||
\(623\) | 314.075 | + | 694.902i | 0.504134 | + | 1.11541i | ||||
\(624\) | 7.78068 | + | 95.3768i | 0.0124690 | + | 0.152847i | ||||
\(625\) | −323.750 | − | 534.613i | −0.518000 | − | 0.855381i | ||||
\(626\) | −332.439 | + | 575.801i | −0.531053 | + | 0.919810i | ||||
\(627\) | 65.0570 | + | 182.060i | 0.103759 | + | 0.290366i | ||||
\(628\) | −0.0552031 | + | 0.206021i | −8.79030e−5 | + | 0.000328058i | ||||
\(629\) | − | 107.329i | − | 0.170634i | ||||||
\(630\) | −292.561 | + | 335.944i | −0.464382 | + | 0.533244i | ||||
\(631\) | 145.713 | 0.230925 | 0.115462 | − | 0.993312i | \(-0.463165\pi\) | ||||
0.115462 | + | 0.993312i | \(0.463165\pi\) | |||||||
\(632\) | 424.803 | + | 113.826i | 0.672157 | + | 0.180104i | ||||
\(633\) | 184.400 | − | 65.8931i | 0.291311 | − | 0.104097i | ||||
\(634\) | 326.879 | + | 188.724i | 0.515582 | + | 0.297671i | ||||
\(635\) | 183.975 | − | 701.249i | 0.289724 | − | 1.10433i | ||||
\(636\) | 43.9331 | − | 3.58399i | 0.0690772 | − | 0.00563520i | ||||
\(637\) | −216.482 | − | 325.300i | −0.339847 | − | 0.510676i | ||||
\(638\) | −110.571 | − | 110.571i | −0.173309 | − | 0.173309i | ||||
\(639\) | 495.940 | + | 605.327i | 0.776119 | + | 0.947303i | ||||
\(640\) | 54.5637 | − | 14.9265i | 0.0852558 | − | 0.0233226i | ||||
\(641\) | 414.926 | + | 239.558i | 0.647311 | + | 0.373725i | 0.787425 | − | 0.616410i | \(-0.211414\pi\) |
−0.140114 | + | 0.990135i | \(0.544747\pi\) | |||||||
\(642\) | −647.377 | − | 118.071i | −1.00838 | − | 0.183912i | ||||
\(643\) | −32.5220 | − | 32.5220i | −0.0505786 | − | 0.0505786i | 0.681365 | − | 0.731944i | \(-0.261387\pi\) |
−0.731944 | + | 0.681365i | \(0.761387\pi\) | |||||||
\(644\) | −327.938 | − | 400.354i | −0.509221 | − | 0.621668i | ||||
\(645\) | 814.448 | − | 70.7295i | 1.26271 | − | 0.109658i | ||||
\(646\) | 53.4860 | + | 92.6405i | 0.0827957 | + | 0.143406i | ||||
\(647\) | 248.105 | − | 66.4795i | 0.383470 | − | 0.102750i | −0.0619339 | − | 0.998080i | \(-0.519727\pi\) |
0.445404 | + | 0.895330i | \(0.353060\pi\) | |||||||
\(648\) | −190.702 | + | 126.967i | −0.294294 | + | 0.195936i | ||||
\(649\) | −148.687 | − | 257.533i | −0.229102 | − | 0.396816i | ||||
\(650\) | 281.925 | − | 2.94799i | 0.433730 | − | 0.00453537i | ||||
\(651\) | −73.7415 | + | 256.919i | −0.113274 | + | 0.394653i | ||||
\(652\) | −356.061 | − | 356.061i | −0.546106 | − | 0.546106i | ||||
\(653\) | 287.966 | − | 1074.70i | 0.440989 | − | 1.64579i | −0.285325 | − | 0.958431i | \(-0.592102\pi\) |
0.726314 | − | 0.687363i | \(-0.241232\pi\) | |||||||
\(654\) | −385.321 | − | 182.439i | −0.589176 | − | 0.278958i | ||||
\(655\) | 107.254 | − | 188.033i | 0.163747 | − | 0.287073i | ||||
\(656\) | −52.4636 | − | 90.8697i | −0.0799750 | − | 0.138521i | ||||
\(657\) | 50.8169 | − | 70.7910i | 0.0773469 | − | 0.107749i | ||||
\(658\) | −227.396 | − | 163.271i | −0.345586 | − | 0.248132i | ||||
\(659\) | −1213.51 | −1.84145 | −0.920723 | − | 0.390218i | \(-0.872400\pi\) | ||||
−0.920723 | + | 0.390218i | \(0.872400\pi\) | |||||||
\(660\) | −19.5863 | + | 110.665i | −0.0296762 | + | 0.167674i | ||||
\(661\) | −66.7459 | − | 38.5358i | −0.100977 | − | 0.0582992i | 0.448661 | − | 0.893702i | \(-0.351901\pi\) |
−0.549638 | + | 0.835403i | \(0.685234\pi\) | |||||||
\(662\) | −151.155 | − | 564.118i | −0.228331 | − | 0.852142i | ||||
\(663\) | −103.484 | − | 18.8738i | −0.156084 | − | 0.0284673i | ||||
\(664\) | −274.223 | −0.412987 | ||||||||
\(665\) | 490.917 | + | 348.604i | 0.738221 | + | 0.524217i | ||||
\(666\) | −50.3550 | − | 306.576i | −0.0756081 | − | 0.460324i | ||||
\(667\) | 282.390 | − | 1053.89i | 0.423373 | − | 1.58005i | ||||
\(668\) | 131.110 | + | 489.310i | 0.196273 | + | 0.732499i | ||||
\(669\) | −23.6233 | − | 11.1849i | −0.0353113 | − | 0.0167189i | ||||
\(670\) | 294.594 | + | 504.146i | 0.439692 | + | 0.752457i | ||||
\(671\) | −206.077 | −0.307120 | ||||||||
\(672\) | −103.914 | + | 57.5659i | −0.154634 | + | 0.0856635i | ||||
\(673\) | 171.706 | − | 171.706i | 0.255134 | − | 0.255134i | −0.567937 | − | 0.823072i | \(-0.692258\pi\) |
0.823072 | + | 0.567937i | \(0.192258\pi\) | |||||||
\(674\) | −9.78615 | − | 16.9501i | −0.0145195 | − | 0.0251485i | ||||
\(675\) | 333.312 | + | 586.965i | 0.493796 | + | 0.869578i | ||||
\(676\) | 105.408 | − | 182.572i | 0.155929 | − | 0.270076i | ||||
\(677\) | −214.280 | + | 799.704i | −0.316514 | + | 1.18125i | 0.606057 | + | 0.795421i | \(0.292750\pi\) |
−0.922572 | + | 0.385826i | \(0.873916\pi\) | |||||||
\(678\) | 562.606 | + | 477.736i | 0.829802 | + | 0.704626i | ||||
\(679\) | 111.845 | + | 136.543i | 0.164721 | + | 0.201095i | ||||
\(680\) | 0.325098 | + | 62.1819i | 0.000478086 | + | 0.0914440i | ||||
\(681\) | 45.7230 | − | 31.6173i | 0.0671409 | − | 0.0464278i | ||||
\(682\) | 17.4528 | + | 65.1349i | 0.0255907 | + | 0.0955057i | ||||
\(683\) | 372.075 | − | 99.6971i | 0.544765 | − | 0.145969i | 0.0240672 | − | 0.999710i | \(-0.492338\pi\) |
0.520698 | + | 0.853741i | \(0.325672\pi\) | |||||||
\(684\) | 196.242 | + | 239.526i | 0.286904 | + | 0.350185i | ||||
\(685\) | 416.416 | − | 420.793i | 0.607906 | − | 0.614296i | ||||
\(686\) | 257.304 | − | 411.209i | 0.375079 | − | 0.599430i | ||||
\(687\) | 361.996 | + | 307.389i | 0.526923 | + | 0.447436i | ||||
\(688\) | 210.575 | + | 56.4235i | 0.306069 | + | 0.0820109i | ||||
\(689\) | 50.7357 | + | 29.2923i | 0.0736367 | + | 0.0425142i | ||||
\(690\) | −737.042 | + | 267.727i | −1.06818 | + | 0.388010i | ||||
\(691\) | 635.479 | − | 366.894i | 0.919651 | − | 0.530961i | 0.0361273 | − | 0.999347i | \(-0.488498\pi\) |
0.883524 | + | 0.468386i | \(0.155164\pi\) | |||||||
\(692\) | 107.683 | + | 107.683i | 0.155612 | + | 0.155612i | ||||
\(693\) | −15.0210 | − | 235.530i | −0.0216753 | − | 0.339870i | ||||
\(694\) | 405.688i | 0.584565i | ||||||||
\(695\) | 649.663 | + | 1111.79i | 0.934767 | + | 1.59969i | ||||
\(696\) | −226.359 | − | 107.175i | −0.325229 | − | 0.153987i | ||||
\(697\) | 111.411 | − | 29.8524i | 0.159843 | − | 0.0428299i | ||||
\(698\) | −675.618 | − | 181.031i | −0.967934 | − | 0.259357i | ||||
\(699\) | −37.8652 | − | 464.158i | −0.0541706 | − | 0.664032i | ||||
\(700\) | 147.477 | + | 317.412i | 0.210682 | + | 0.453446i | ||||
\(701\) | − | 113.641i | − | 0.162112i | −0.996710 | − | 0.0810561i | \(-0.974171\pi\) | ||
0.996710 | − | 0.0810561i | \(-0.0258293\pi\) | |||||||
\(702\) | −304.448 | − | 5.36042i | −0.433687 | − | 0.00763593i | ||||
\(703\) | −405.607 | + | 108.682i | −0.576965 | + | 0.154597i | ||||
\(704\) | −14.9847 | + | 25.9542i | −0.0212850 | + | 0.0368668i | ||||
\(705\) | −347.618 | + | 243.073i | −0.493075 | + | 0.344784i | ||||
\(706\) | − | 877.344i | − | 1.24270i | ||||||
\(707\) | 1033.53 | + | 742.078i | 1.46186 | + | 1.04961i | ||||
\(708\) | −363.053 | − | 308.286i | −0.512786 | − | 0.435432i | ||||
\(709\) | −9.40250 | + | 5.42853i | −0.0132616 | + | 0.00765661i | −0.506616 | − | 0.862172i | \(-0.669104\pi\) |
0.493355 | + | 0.869828i | \(0.335771\pi\) | |||||||
\(710\) | 593.036 | − | 162.231i | 0.835262 | − | 0.228495i | ||||
\(711\) | −494.023 | + | 1309.30i | −0.694829 | + | 1.84149i | ||||
\(712\) | 297.630 | + | 79.7498i | 0.418020 | + | 0.112008i | ||||
\(713\) | −332.699 | + | 332.699i | −0.466619 | + | 0.466619i | ||||
\(714\) | −31.5587 | − | 126.713i | −0.0441998 | − | 0.177469i | ||||
\(715\) | −105.066 | + | 106.170i | −0.146945 | + | 0.148490i | ||||
\(716\) | −591.550 | + | 341.531i | −0.826187 | + | 0.476999i | ||||
\(717\) | 1047.51 | − | 374.316i | 1.46096 | − | 0.522059i | ||||
\(718\) | −98.2254 | − | 366.582i | −0.136804 | − | 0.510560i | ||||
\(719\) | 1084.80 | − | 626.312i | 1.50877 | − | 0.871087i | 0.508819 | − | 0.860873i | \(-0.330082\pi\) |
0.999948 | − | 0.0102138i | \(-0.00325120\pi\) | |||||||
\(720\) | 30.1023 | + | 177.465i | 0.0418087 | + | 0.246479i | ||||
\(721\) | 610.510 | + | 230.430i | 0.846755 | + | 0.319598i | ||||
\(722\) | −65.0620 | + | 65.0620i | −0.0901135 | + | 0.0901135i | ||||
\(723\) | 504.897 | + | 92.0853i | 0.698337 | + | 0.127366i | ||||
\(724\) | 139.336 | − | 241.337i | 0.192453 | − | 0.333339i | ||||
\(725\) | −362.245 | + | 642.857i | −0.499648 | + | 0.886700i | ||||
\(726\) | 258.114 | + | 373.268i | 0.355529 | + | 0.514143i | ||||
\(727\) | 694.416 | − | 694.416i | 0.955181 | − | 0.955181i | −0.0438572 | − | 0.999038i | \(-0.513965\pi\) |
0.999038 | + | 0.0438572i | \(0.0139647\pi\) | |||||||
\(728\) | −157.112 | − | 15.6221i | −0.215813 | − | 0.0214589i | ||||
\(729\) | −342.049 | − | 643.773i | −0.469203 | − | 0.883090i | ||||
\(730\) | −34.5421 | − | 59.1128i | −0.0473180 | − | 0.0809764i | ||||
\(731\) | −119.820 | + | 207.534i | −0.163912 | + | 0.283904i | ||||
\(732\) | −310.813 | + | 111.066i | −0.424608 | + | 0.151729i | ||||
\(733\) | −191.444 | + | 714.480i | −0.261179 | + | 0.974734i | 0.703369 | + | 0.710825i | \(0.251678\pi\) |
−0.964548 | + | 0.263908i | \(0.914988\pi\) | |||||||
\(734\) | 341.783i | 0.465645i | ||||||||
\(735\) | −458.616 | − | 574.366i | −0.623968 | − | 0.781450i | ||||
\(736\) | −209.110 | −0.284116 | ||||||||
\(737\) | −298.807 | − | 80.0650i | −0.405437 | − | 0.108636i | ||||
\(738\) | 304.230 | − | 137.541i | 0.412236 | − | 0.186370i | ||||
\(739\) | 385.966 | + | 222.838i | 0.522281 | + | 0.301539i | 0.737868 | − | 0.674945i | \(-0.235833\pi\) |
−0.215586 | + | 0.976485i | \(0.569166\pi\) | |||||||
\(740\) | −236.106 | − | 61.9432i | −0.319062 | − | 0.0837070i | ||||
\(741\) | 33.4625 | + | 410.188i | 0.0451585 | + | 0.553561i | ||||
\(742\) | −7.19595 | + | 72.3699i | −0.00969804 | + | 0.0975335i | ||||
\(743\) | −363.087 | − | 363.087i | −0.488677 | − | 0.488677i | 0.419212 | − | 0.907889i | \(-0.362306\pi\) |
−0.907889 | + | 0.419212i | \(0.862306\pi\) | |||||||
\(744\) | 61.4274 | + | 88.8325i | 0.0825637 | + | 0.119398i | ||||
\(745\) | 397.403 | − | 696.710i | 0.533427 | − | 0.935181i | ||||
\(746\) | −792.714 | − | 457.674i | −1.06262 | − | 0.613504i | ||||
\(747\) | 86.2465 | − | 868.300i | 0.115457 | − | 1.16238i | ||||
\(748\) | −23.2947 | − | 23.2947i | −0.0311427 | − | 0.0311427i | ||||
\(749\) | 383.398 | − | 1015.79i | 0.511880 | − | 1.35620i | ||||
\(750\) | 527.833 | − | 51.4049i | 0.703777 | − | 0.0685399i | ||||
\(751\) | −257.662 | − | 446.284i | −0.343092 | − | 0.594252i | 0.641913 | − | 0.766777i | \(-0.278141\pi\) |
−0.985005 | + | 0.172525i | \(0.944808\pi\) | |||||||
\(752\) | −109.258 | + | 29.2757i | −0.145291 | + | 0.0389305i | ||||
\(753\) | 1196.41 | − | 427.524i | 1.58886 | − | 0.567761i | ||||
\(754\) | −166.434 | − | 288.271i | −0.220734 | − | 0.382323i | ||||
\(755\) | 937.249 | − | 4.90011i | 1.24139 | − | 0.00649021i | ||||
\(756\) | −149.594 | − | 347.139i | −0.197876 | − | 0.459179i | ||||
\(757\) | 298.739 | + | 298.739i | 0.394635 | + | 0.394635i | 0.876336 | − | 0.481701i | \(-0.159981\pi\) |
−0.481701 | + | 0.876336i | \(0.659981\pi\) | |||||||
\(758\) | −64.5965 | + | 241.077i | −0.0852197 | + | 0.318044i | ||||
\(759\) | 177.779 | − | 375.479i | 0.234228 | − | 0.494703i | ||||
\(760\) | 234.663 | − | 64.1945i | 0.308767 | − | 0.0844665i | ||||
\(761\) | 718.773 | + | 1244.95i | 0.944512 | + | 1.63594i | 0.756726 | + | 0.653732i | \(0.226798\pi\) |
0.187786 | + | 0.982210i | \(0.439869\pi\) | |||||||
\(762\) | 468.916 | + | 398.180i | 0.615375 | + | 0.522546i | ||||
\(763\) | 410.252 | − | 571.379i | 0.537682 | − | 0.748859i | ||||
\(764\) | 201.564 | 0.263827 | ||||||||
\(765\) | −196.995 | − | 18.5276i | −0.257510 | − | 0.0242190i | ||||
\(766\) | −590.580 | − | 340.972i | −0.770993 | − | 0.445133i | ||||
\(767\) | −163.838 | − | 611.451i | −0.213609 | − | 0.797198i | ||||
\(768\) | −8.61237 | + | 47.2210i | −0.0112140 | + | 0.0614857i | ||||
\(769\) | 1124.15 | 1.46183 | 0.730917 | − | 0.682467i | \(-0.239093\pi\) | ||||
0.730917 | + | 0.682467i | \(0.239093\pi\) | |||||||
\(770\) | −173.820 | − | 64.5702i | −0.225740 | − | 0.0838574i | ||||
\(771\) | −32.3836 | − | 396.964i | −0.0420021 | − | 0.514869i | ||||
\(772\) | −14.1096 | + | 52.6579i | −0.0182767 | + | 0.0682097i | ||||
\(773\) | 46.5896 | + | 173.875i | 0.0602711 | + | 0.224935i | 0.989491 | − | 0.144591i | \(-0.0461867\pi\) |
−0.929220 | + | 0.369526i | \(0.879520\pi\) | |||||||
\(774\) | −244.888 | + | 649.019i | −0.316392 | + | 0.838526i | ||||
\(775\) | 273.895 | − | 161.975i | 0.353413 | − | 0.209001i | ||||
\(776\) | 71.3182 | 0.0919049 | ||||||||
\(777\) | 512.521 | + | 9.07724i | 0.659616 | + | 0.0116824i | ||||
\(778\) | 552.327 | − | 552.327i | 0.709931 | − | 0.709931i | ||||
\(779\) | −225.631 | − | 390.804i | −0.289642 | − | 0.501674i | ||||
\(780\) | −101.244 | + | 216.755i | −0.129799 | + | 0.277891i | ||||
\(781\) | −162.864 | + | 282.088i | −0.208532 | + | 0.361188i | ||||
\(782\) | 59.4929 | − | 222.031i | 0.0760779 | − | 0.283927i | ||||
\(783\) | 410.551 | − | 683.036i | 0.524330 | − | 0.872332i | ||||
\(784\) | −62.6559 | − | 185.715i | −0.0799183 | − | 0.236882i | ||||
\(785\) | −0.375068 | + | 0.379010i | −0.000477793 | + | 0.000482815i | ||||
\(786\) | 104.471 | + | 151.079i | 0.132915 | + | 0.192213i | ||||
\(787\) | −213.575 | − | 797.075i | −0.271379 | − | 1.01280i | −0.958229 | − | 0.286002i | \(-0.907674\pi\) |
0.686850 | − | 0.726799i | \(-0.258993\pi\) | |||||||
\(788\) | −483.197 | + | 129.472i | −0.613194 | + | 0.164305i | ||||
\(789\) | 229.681 | − | 158.824i | 0.291104 | − | 0.201298i | ||||
\(790\) | 781.498 | + | 773.369i | 0.989238 | + | 0.978948i | ||||
\(791\) | −942.064 | + | 771.663i | −1.19098 | + | 0.975554i | ||||
\(792\) | −77.4685 | − | 55.6104i | −0.0978138 | − | 0.0702151i | ||||
\(793\) | −423.730 | − | 113.538i | −0.534338 | − | 0.143175i | ||||
\(794\) | 205.843 | + | 118.844i | 0.259249 | + | 0.149677i | ||||
\(795\) | 99.8432 | + | 46.6355i | 0.125589 | + | 0.0586610i | ||||
\(796\) | −14.0053 | + | 8.08594i | −0.0175945 | + | 0.0101582i | ||||
\(797\) | −518.227 | − | 518.227i | −0.650223 | − | 0.650223i | 0.302824 | − | 0.953047i | \(-0.402071\pi\) |
−0.953047 | + | 0.302824i | \(0.902071\pi\) | |||||||
\(798\) | −446.905 | + | 247.574i | −0.560032 | + | 0.310243i | ||||
\(799\) | − | 124.339i | − | 0.155618i | ||||||
\(800\) | 136.978 | + | 35.1722i | 0.171222 | + | 0.0439653i | ||||
\(801\) | −346.128 | + | 917.334i | −0.432120 | + | 1.14524i | ||||
\(802\) | −226.652 | + | 60.7313i | −0.282609 | + | 0.0757248i | ||||
\(803\) | 35.0361 | + | 9.38790i | 0.0436315 | + | 0.0116910i | ||||
\(804\) | −493.822 | + | 40.2852i | −0.614206 | + | 0.0501059i | ||||
\(805\) | −216.236 | − | 1275.60i | −0.268616 | − | 1.58460i | ||||
\(806\) | 143.544i | 0.178094i | ||||||||
\(807\) | 847.861 | + | 154.637i | 1.05063 | + | 0.191619i | ||||
\(808\) | 496.588 | − | 133.060i | 0.614589 | − | 0.164679i | ||||
\(809\) | −172.919 | + | 299.505i | −0.213745 | + | 0.370217i | −0.952884 | − | 0.303336i | \(-0.901899\pi\) |
0.739139 | + | 0.673553i | \(0.235233\pi\) | |||||||
\(810\) | −571.393 | + | 39.5009i | −0.705423 | + | 0.0487665i | ||||
\(811\) | 1538.26i | 1.89675i | 0.317158 | + | 0.948373i | \(0.397271\pi\) | ||||
−0.317158 | + | 0.948373i | \(0.602729\pi\) | |||||||
\(812\) | 241.005 | − | 335.660i | 0.296804 | − | 0.413375i | ||||
\(813\) | 166.288 | − | 195.829i | 0.204536 | − | 0.240871i | ||||
\(814\) | 111.994 | − | 64.6596i | 0.137584 | − | 0.0794344i | ||||
\(815\) | −332.172 | − | 1214.25i | −0.407572 | − | 1.48988i | ||||
\(816\) | −47.6886 | − | 22.5792i | −0.0584419 | − | 0.0276706i | ||||
\(817\) | 905.624 | + | 242.661i | 1.10847 | + | 0.297015i | ||||
\(818\) | 294.995 | − | 294.995i | 0.360629 | − | 0.360629i | ||||
\(819\) | 98.8793 | − | 492.565i | 0.120732 | − | 0.601423i | ||||
\(820\) | −1.37143 | − | 262.315i | −0.00167247 | − | 0.319896i | ||||
\(821\) | −861.437 | + | 497.351i | −1.04925 | + | 0.605787i | −0.922440 | − | 0.386140i | \(-0.873808\pi\) |
−0.126814 | + | 0.991927i | \(0.540475\pi\) | |||||||
\(822\) | 169.035 | + | 473.038i | 0.205638 | + | 0.575472i | ||||
\(823\) | −0.878666 | − | 3.27922i | −0.00106764 | − | 0.00398448i | 0.965390 | − | 0.260811i | \(-0.0839899\pi\) |
−0.966458 | + | 0.256826i | \(0.917323\pi\) | |||||||
\(824\) | 228.345 | − | 131.835i | 0.277117 | − | 0.159994i | ||||
\(825\) | −179.610 | + | 216.056i | −0.217709 | + | 0.261886i | ||||
\(826\) | 607.920 | − | 497.959i | 0.735980 | − | 0.602856i | ||||
\(827\) | −924.345 | + | 924.345i | −1.11771 | + | 1.11771i | −0.125632 | + | 0.992077i | \(0.540096\pi\) |
−0.992077 | + | 0.125632i | \(0.959904\pi\) | |||||||
\(828\) | 65.7675 | − | 662.125i | 0.0794294 | − | 0.799668i | ||||
\(829\) | −257.331 | + | 445.711i | −0.310411 | + | 0.537648i | −0.978451 | − | 0.206477i | \(-0.933800\pi\) |
0.668040 | + | 0.744125i | \(0.267133\pi\) | |||||||
\(830\) | −595.495 | − | 339.670i | −0.717464 | − | 0.409242i | ||||
\(831\) | −437.331 | + | 302.413i | −0.526271 | + | 0.363915i | ||||
\(832\) | −45.1104 | + | 45.1104i | −0.0542193 | + | 0.0542193i | ||||
\(833\) | 215.017 | − | 13.6903i | 0.258123 | − | 0.0164349i | ||||
\(834\) | −1089.02 | + | 88.8402i | −1.30578 | + | 0.106523i | ||||
\(835\) | −321.375 | + | 1224.97i | −0.384881 | + | 1.46703i | ||||
\(836\) | −64.4448 | + | 111.622i | −0.0770871 | + | 0.133519i | ||||
\(837\) | −300.599 | + | 166.565i | −0.359138 | + | 0.199002i | ||||
\(838\) | −27.3338 | + | 102.011i | −0.0326179 | + | 0.121732i | ||||
\(839\) | 717.805i | 0.855548i | 0.903886 | + | 0.427774i | \(0.140702\pi\) | ||||
−0.903886 | + | 0.427774i | \(0.859298\pi\) | |||||||
\(840\) | −296.962 | − | 3.70656i | −0.353526 | − | 0.00441257i | ||||
\(841\) | 30.1793 | 0.0358850 | ||||||||
\(842\) | −446.562 | − | 119.656i | −0.530359 | − | 0.142109i | ||||
\(843\) | −321.383 | − | 899.380i | −0.381237 | − | 1.06688i | ||||
\(844\) | 113.056 | + | 65.2730i | 0.133953 | + | 0.0773377i | ||||
\(845\) | 455.045 | − | 265.902i | 0.538515 | − | 0.314677i | ||||
\(846\) | −58.3355 | − | 355.164i | −0.0689545 | − | 0.419815i | ||||
\(847\) | −682.309 | + | 308.384i | −0.805560 | + | 0.364090i | ||||
\(848\) | 20.7791 | + | 20.7791i | 0.0245036 | + | 0.0245036i | ||||
\(849\) | −1058.81 | + | 732.164i | −1.24713 | + | 0.862385i | ||||
\(850\) | −76.3165 | + | 135.435i | −0.0897841 | + | 0.159335i | ||||
\(851\) | 781.431 | + | 451.159i | 0.918250 | + | 0.530152i | ||||
\(852\) | −93.6051 | + | 513.231i | −0.109865 | + | 0.602383i | ||||
\(853\) | −159.338 | − | 159.338i | −0.186797 | − | 0.186797i | 0.607513 | − | 0.794310i | \(-0.292167\pi\) |
−0.794310 | + | 0.607513i | \(0.792167\pi\) | |||||||
\(854\) | −88.2075 | − | 537.382i | −0.103287 | − | 0.629253i | ||||
\(855\) | 129.461 | + | 763.226i | 0.151417 | + | 0.892662i | ||||
\(856\) | −219.352 | − | 379.929i | −0.256253 | − | 0.443842i | ||||
\(857\) | 1082.26 | − | 289.991i | 1.26285 | − | 0.338380i | 0.435563 | − | 0.900158i | \(-0.356549\pi\) |
0.827287 | + | 0.561779i | \(0.189883\pi\) | |||||||
\(858\) | −42.6491 | − | 119.352i | −0.0497076 | − | 0.139105i | ||||
\(859\) | 429.846 | + | 744.516i | 0.500403 | + | 0.866724i | 1.00000 | 0.000465670i | \(0.000148227\pi\) | |
−0.499597 | + | 0.866258i | \(0.666518\pi\) | |||||||
\(860\) | 387.389 | + | 383.359i | 0.450452 | + | 0.445767i | ||||
\(861\) | 133.130 | + | 534.539i | 0.154623 | + | 0.620835i | ||||
\(862\) | 141.965 | + | 141.965i | 0.164692 | + | 0.164692i | ||||
\(863\) | −52.7025 | + | 196.689i | −0.0610690 | + | 0.227913i | −0.989715 | − | 0.143055i | \(-0.954307\pi\) |
0.928646 | + | 0.370968i | \(0.120974\pi\) | |||||||
\(864\) | −146.812 | − | 42.1218i | −0.169921 | − | 0.0487521i | ||||
\(865\) | 100.458 | + | 367.225i | 0.116137 | + | 0.424537i | ||||
\(866\) | 61.0659 | + | 105.769i | 0.0705149 | + | 0.122135i | ||||
\(867\) | −523.643 | + | 616.667i | −0.603971 | + | 0.711266i | ||||
\(868\) | −162.380 | + | 73.3910i | −0.187074 | + | 0.0845518i | ||||
\(869\) | −582.487 | −0.670296 | ||||||||
\(870\) | −358.801 | − | 513.120i | −0.412415 | − | 0.589793i | ||||
\(871\) | −570.285 | − | 329.254i | −0.654748 | − | 0.378019i | ||||
\(872\) | −73.5613 | − | 274.535i | −0.0843593 | − | 0.314833i | ||||
\(873\) | −22.4304 | + | 225.822i | −0.0256935 | + | 0.258673i | ||||
\(874\) | −899.321 | −1.02897 | ||||||||
\(875\) | −72.9103 | + | 871.957i | −0.0833260 | + | 0.996522i | ||||
\(876\) | 57.9023 | − | 4.72357i | 0.0660985 | − | 0.00539220i | ||||
\(877\) | −223.637 | + | 834.624i | −0.255002 | + | 0.951681i | 0.713087 | + | 0.701075i | \(0.247296\pi\) |
−0.968089 | + | 0.250606i | \(0.919370\pi\) | |||||||
\(878\) | 273.870 | + | 1022.10i | 0.311925 | + | 1.16412i | ||||
\(879\) | 181.820 | − | 384.013i | 0.206848 | − | 0.436875i | ||||
\(880\) | −64.6888 | + | 37.8004i | −0.0735100 | + | 0.0429550i | ||||
\(881\) | −1400.67 | −1.58986 | −0.794932 | − | 0.606699i | \(-0.792493\pi\) | ||||
−0.794932 | + | 0.606699i | \(0.792493\pi\) | |||||||
\(882\) | 607.755 | − | 139.984i | 0.689065 | − | 0.158712i | ||||
\(883\) | 200.913 | − | 200.913i | 0.227535 | − | 0.227535i | −0.584127 | − | 0.811662i | \(-0.698563\pi\) |
0.811662 | + | 0.584127i | \(0.198563\pi\) | |||||||
\(884\) | −35.0636 | − | 60.7320i | −0.0396647 | − | 0.0687013i | ||||
\(885\) | −406.531 | − | 1119.16i | −0.459357 | − | 1.26459i | ||||
\(886\) | −359.206 | + | 622.162i | −0.405424 | + | 0.702215i | ||||
\(887\) | 147.011 | − | 548.652i | 0.165739 | − | 0.618548i | −0.832205 | − | 0.554467i | \(-0.812922\pi\) |
0.997945 | − | 0.0640802i | \(-0.0204114\pi\) | |||||||
\(888\) | 134.065 | − | 157.881i | 0.150974 | − | 0.177794i | ||||
\(889\) | −785.184 | + | 643.160i | −0.883222 | + | 0.723464i | ||||
\(890\) | 547.542 | + | 541.846i | 0.615215 | + | 0.608816i | ||||
\(891\) | 200.449 | − | 227.806i | 0.224971 | − | 0.255675i | ||||
\(892\) | −4.50990 | − | 16.8312i | −0.00505594 | − | 0.0188690i | ||||
\(893\) | −469.889 | + | 125.906i | −0.526192 | + | 0.140993i | ||||
\(894\) | 387.091 | + | 559.787i | 0.432988 | + | 0.626159i | ||||
\(895\) | −1707.63 | + | 8.92782i | −1.90797 | + | 0.00997522i | ||||
\(896\) | −74.0939 | − | 27.9659i | −0.0826941 | − | 0.0312119i | ||||
\(897\) | 572.413 | − | 674.101i | 0.638141 | − | 0.751506i | ||||
\(898\) | −554.501 | − | 148.578i | −0.617484 | − | 0.165454i | ||||
\(899\) | −325.351 | − | 187.841i | −0.361903 | − | 0.208945i | ||||
\(900\) | −154.450 | + | 422.664i | −0.171612 | + | 0.469627i | ||||
\(901\) | −27.9748 | + | 16.1512i | −0.0310486 | + | 0.0179259i | ||||
\(902\) | 98.2688 | + | 98.2688i | 0.108945 | + | 0.108945i | ||||
\(903\) | −980.893 | − | 589.722i | −1.08626 | − | 0.653069i | ||||
\(904\) | 492.051i | 0.544304i | ||||||||
\(905\) | 601.514 | − | 351.490i | 0.664656 | − | 0.388387i | ||||
\(906\) | −340.329 | + | 718.795i | −0.375639 | + | 0.793372i | ||||
\(907\) | 36.8270 | − | 9.86776i | 0.0406030 | − | 0.0108796i | −0.238460 | − | 0.971152i | \(-0.576643\pi\) |
0.279063 | + | 0.960273i | \(0.409976\pi\) | |||||||
\(908\) | 35.7972 | + | 9.59183i | 0.0394242 | + | 0.0105637i | ||||
\(909\) | 265.139 | + | 1614.25i | 0.291682 | + | 1.77585i | ||||
\(910\) | −321.828 | − | 228.533i | −0.353658 | − | 0.251135i | ||||
\(911\) | − | 566.145i | − | 0.621454i | −0.950499 | − | 0.310727i | \(-0.899428\pi\) | ||
0.950499 | − | 0.310727i | \(-0.100572\pi\) | |||||||
\(912\) | −37.0393 | + | 203.084i | −0.0406133 | + | 0.222680i | ||||
\(913\) | 350.825 | − | 94.0033i | 0.384255 | − | 0.102961i | ||||
\(914\) | 155.417 | − | 269.191i | 0.170041 | − | 0.294519i | ||||
\(915\) | −812.525 | − | 143.807i | −0.888006 | − | 0.157166i | ||||
\(916\) | 316.599i | 0.345633i | ||||||||
\(917\) | −276.163 | + | 124.817i | −0.301159 | + | 0.136115i | ||||
\(918\) | 86.4934 | − | 143.900i | 0.0942193 | − | 0.156753i | ||||
\(919\) | −507.440 | + | 292.971i | −0.552165 | + | 0.318793i | −0.749995 | − | 0.661444i | \(-0.769944\pi\) |
0.197830 | + | 0.980236i | \(0.436611\pi\) | |||||||
\(920\) | −454.096 | − | 259.017i | −0.493583 | − | 0.281540i | ||||
\(921\) | 262.641 | − | 554.713i | 0.285169 | − | 0.602294i | ||||
\(922\) | −9.92997 | − | 2.66073i | −0.0107700 | − | 0.00288582i | ||||
\(923\) | −490.291 | + | 490.291i | −0.531193 | + | 0.531193i | ||||
\(924\) | 113.208 | − | 109.268i | 0.122520 | − | 0.118255i | ||||
\(925\) | −435.993 | − | 426.970i | −0.471344 | − | 0.461589i | ||||
\(926\) | 748.926 | − | 432.392i | 0.808775 | − | 0.466946i | ||||
\(927\) | 345.625 | + | 764.494i | 0.372842 | + | 0.824697i | ||||
\(928\) | −43.2141 | − | 161.277i | −0.0465669 | − | 0.173790i | ||||
\(929\) | −54.8671 | + | 31.6775i | −0.0590604 | + | 0.0340985i | −0.529239 | − | 0.848473i | \(-0.677523\pi\) |
0.470179 | + | 0.882571i | \(0.344189\pi\) | |||||||
\(930\) | 23.3604 | + | 268.994i | 0.0251187 | + | 0.289241i | ||||
\(931\) | −269.465 | − | 798.709i | −0.289436 | − | 0.857904i | ||||
\(932\) | 219.533 | − | 219.533i | 0.235551 | − | 0.235551i | ||||
\(933\) | −144.390 | + | 791.681i | −0.154759 | + | 0.848533i | ||||
\(934\) | 59.3963 | − | 102.877i | 0.0635935 | − | 0.110147i | ||||
\(935\) | −21.7318 | − | 79.4404i | −0.0232425 | − | 0.0849630i | ||||
\(936\) | −128.650 | − | 157.025i | −0.137446 | − | 0.167762i | ||||
\(937\) | −271.304 | + | 271.304i | −0.289545 | + | 0.289545i | −0.836900 | − | 0.547355i | \(-0.815635\pi\) |
0.547355 | + | 0.836900i | \(0.315635\pi\) | |||||||
\(938\) | 80.8847 | − | 813.460i | 0.0862310 | − | 0.867228i | ||||
\(939\) | −114.679 | − | 1405.75i | −0.122128 | − | 1.49707i | ||||
\(940\) | −273.525 | − | 71.7603i | −0.290984 | − | 0.0763407i | ||||
\(941\) | 523.148 | − | 906.119i | 0.555949 | − | 0.962931i | −0.441880 | − | 0.897074i | \(-0.645688\pi\) |
0.997829 | − | 0.0658574i | \(-0.0209783\pi\) | |||||||
\(942\) | −0.152250 | − | 0.426067i | −0.000161625 | − | 0.000452301i | ||||
\(943\) | −250.971 | + | 936.637i | −0.266141 | + | 0.993252i | ||||
\(944\) | − | 317.523i | − | 0.336360i | ||||||
\(945\) | 105.134 | − | 939.134i | 0.111253 | − | 0.993792i | ||||
\(946\) | −288.739 | −0.305221 | ||||||||
\(947\) | −602.589 | − | 161.463i | −0.636313 | − | 0.170500i | −0.0737804 | − | 0.997275i | \(-0.523506\pi\) |
−0.562533 | + | 0.826775i | \(0.690173\pi\) | |||||||
\(948\) | −878.528 | + | 313.932i | −0.926717 | + | 0.331152i | ||||
\(949\) | 66.8679 | + | 38.6062i | 0.0704614 | + | 0.0406809i | ||||
\(950\) | 589.102 | + | 151.266i | 0.620107 | + | 0.159227i | ||||
\(951\) | −798.035 | + | 65.1024i | −0.839154 | + | 0.0684567i | ||||
\(952\) | 50.7740 | − | 70.7157i | 0.0533341 | − | 0.0742812i | ||||
\(953\) | 480.066 | + | 480.066i | 0.503742 | + | 0.503742i | 0.912599 | − | 0.408857i | \(-0.134072\pi\) |
−0.408857 | + | 0.912599i | \(0.634072\pi\) | |||||||
\(954\) | −72.3301 | + | 59.2596i | −0.0758177 | + | 0.0621169i | ||||
\(955\) | 437.709 | + | 249.670i | 0.458334 | + | 0.261434i | ||||
\(956\) | 642.234 | + | 370.794i | 0.671793 | + | 0.387860i | ||||
\(957\) | 326.330 | + | 59.5174i | 0.340992 | + | 0.0621916i | ||||
\(958\) | 245.838 | + | 245.838i | 0.256616 | + | 0.256616i | ||||
\(959\) | −817.861 | + | 134.246i | −0.852827 | + | 0.139986i | ||||
\(960\) | −77.1934 | + | 91.8759i | −0.0804097 | + | 0.0957041i | ||||
\(961\) | −399.496 | − | 691.948i | −0.415709 | − | 0.720029i | ||||
\(962\) | 265.902 | − | 71.2482i | 0.276405 | − | 0.0740626i | ||||
\(963\) | 1272.00 | − | 575.064i | 1.32087 | − | 0.597159i | ||||
\(964\) | 171.075 | + | 296.311i | 0.177464 | + | 0.307377i | ||||
\(965\) | −95.8655 | + | 96.8732i | −0.0993425 | + | 0.100387i | ||||
\(966\) | 1055.22 | + | 302.872i | 1.09236 | + | 0.313532i | ||||
\(967\) | 915.013 | + | 915.013i | 0.946238 | + | 0.946238i | 0.998627 | − | 0.0523884i | \(-0.0166834\pi\) |
−0.0523884 | + | 0.998627i | \(0.516683\pi\) | |||||||
\(968\) | −78.3047 | + | 292.237i | −0.0808933 | + | 0.301898i | ||||
\(969\) | −205.095 | − | 97.1066i | −0.211656 | − | 0.100213i | ||||
\(970\) | 154.872 | + | 88.3393i | 0.159662 | + | 0.0910714i | ||||
\(971\) | −458.683 | − | 794.462i | −0.472382 | − | 0.818189i | 0.527119 | − | 0.849792i | \(-0.323272\pi\) |
−0.999501 | + | 0.0316025i | \(0.989939\pi\) | |||||||
\(972\) | 179.549 | − | 451.617i | 0.184721 | − | 0.464627i | ||||
\(973\) | 178.374 | − | 1793.91i | 0.183324 | − | 1.84369i | ||||
\(974\) | −48.9053 | −0.0502108 | ||||||||
\(975\) | −488.344 | + | 345.292i | −0.500866 | + | 0.354145i | ||||
\(976\) | −190.561 | − | 110.020i | −0.195247 | − | 0.112726i | ||||
\(977\) | 1.85881 | + | 6.93719i | 0.00190257 | + | 0.00710050i | 0.966871 | − | 0.255267i | \(-0.0821634\pi\) |
−0.964968 | + | 0.262368i | \(0.915497\pi\) | |||||||
\(978\) | 1050.85 | + | 191.658i | 1.07449 | + | 0.195970i | ||||
\(979\) | −408.109 | −0.416863 | ||||||||
\(980\) | 93.9774 | − | 480.904i | 0.0958953 | − | 0.490718i | ||||
\(981\) | 892.422 | − | 146.580i | 0.909706 | − | 0.149419i | ||||
\(982\) | −127.995 | + | 477.684i | −0.130341 | + | 0.486440i | ||||
\(983\) | 295.362 | + | 1102.31i | 0.300470 | + | 1.12137i | 0.936775 | + | 0.349932i | \(0.113795\pi\) |
−0.636305 | + | 0.771437i | \(0.719538\pi\) | |||||||
\(984\) | 201.174 | + | 95.2504i | 0.204446 | + | 0.0967992i | ||||
\(985\) | −1209.67 | − | 317.361i | −1.22809 | − | 0.322194i | ||||
\(986\) | 183.537 | 0.186143 | ||||||||
\(987\) | 593.749 | + | 10.5159i | 0.601569 | + | 0.0106544i | ||||
\(988\) | −194.007 | + | 194.007i | −0.196363 | + | 0.196363i | ||||
\(989\) | −1007.33 | − | 1744.75i | −1.01854 | − | 1.76416i | ||||
\(990\) | −99.3457 | − | 216.719i | −0.100349 | − | 0.218908i | ||||
\(991\) | −112.533 | + | 194.913i | −0.113555 | + | 0.196683i | −0.917201 | − | 0.398424i | \(-0.869557\pi\) |
0.803646 | + | 0.595108i | \(0.202891\pi\) | |||||||
\(992\) | −18.6354 | + | 69.5483i | −0.0187857 | + | 0.0701091i | ||||
\(993\) | 944.355 | + | 801.898i | 0.951012 | + | 0.807551i | ||||
\(994\) | −805.303 | − | 303.952i | −0.810164 | − | 0.305787i | ||||
\(995\) | −40.4292 | + | 0.211371i | −0.0406323 | + | 0.000212433i | ||||
\(996\) | 478.463 | − | 330.856i | 0.480385 | − | 0.332185i | ||||
\(997\) | 53.8062 | + | 200.808i | 0.0539681 | + | 0.201412i | 0.987646 | − | 0.156703i | \(-0.0500864\pi\) |
−0.933678 | + | 0.358114i | \(0.883420\pi\) | |||||||
\(998\) | 549.586 | − | 147.261i | 0.550687 | − | 0.147556i | ||||
\(999\) | 457.749 | + | 474.157i | 0.458207 | + | 0.474632i |
(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 | 210.3.w.a.17.14 | ✓ | 64 | |
3.2 | odd | 2 | 210.3.w.b.17.16 | yes | 64 | ||
5.3 | odd | 4 | 210.3.w.b.143.10 | yes | 64 | ||
7.5 | odd | 6 | inner | 210.3.w.a.47.10 | yes | 64 | |
15.8 | even | 4 | inner | 210.3.w.a.143.10 | yes | 64 | |
21.5 | even | 6 | 210.3.w.b.47.10 | yes | 64 | ||
35.33 | even | 12 | 210.3.w.b.173.16 | yes | 64 | ||
105.68 | odd | 12 | inner | 210.3.w.a.173.14 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.3.w.a.17.14 | ✓ | 64 | 1.1 | even | 1 | trivial | |
210.3.w.a.47.10 | yes | 64 | 7.5 | odd | 6 | inner | |
210.3.w.a.143.10 | yes | 64 | 15.8 | even | 4 | inner | |
210.3.w.a.173.14 | yes | 64 | 105.68 | odd | 12 | inner | |
210.3.w.b.17.16 | yes | 64 | 3.2 | odd | 2 | ||
210.3.w.b.47.10 | yes | 64 | 21.5 | even | 6 | ||
210.3.w.b.143.10 | yes | 64 | 5.3 | odd | 4 | ||
210.3.w.b.173.16 | yes | 64 | 35.33 | even | 12 |