Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(22,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(112))
chi = DirichletCharacter(H, H._module([35, 40]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.22");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.bj (of order \(112\), degree \(48\), 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: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(3072\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{112})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{112}]$ |
Embedding invariants
Embedding label | 22.5 | ||
Character | \(\chi\) | \(=\) | 731.22 |
Dual form | 731.2.bj.a.432.5 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(e\left(\frac{5}{16}\right)\) | \(e\left(\frac{5}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.41679 | − | 0.135724i | −1.70893 | − | 0.0959714i | −0.825460 | − | 0.564461i | \(-0.809084\pi\) |
−0.883469 | + | 0.468490i | \(0.844798\pi\) | |||||||
\(3\) | 1.39523 | − | 2.36526i | 0.805536 | − | 1.36558i | −0.122262 | − | 0.992498i | \(-0.539015\pi\) |
0.927798 | − | 0.373084i | \(-0.121700\pi\) | |||||||
\(4\) | 3.83503 | + | 0.432104i | 1.91751 | + | 0.216052i | ||||
\(5\) | −0.0158836 | − | 0.566113i | −0.00710336 | − | 0.253173i | −0.995111 | − | 0.0987662i | \(-0.968510\pi\) |
0.988007 | − | 0.154407i | \(-0.0493467\pi\) | |||||||
\(6\) | −3.69300 | + | 5.52696i | −1.50766 | + | 2.25637i | ||||
\(7\) | −4.07166 | + | 0.809904i | −1.53894 | + | 0.306115i | −0.890441 | − | 0.455098i | \(-0.849604\pi\) |
−0.648502 | + | 0.761213i | \(0.724604\pi\) | |||||||
\(8\) | −4.43701 | − | 0.753879i | −1.56872 | − | 0.266536i | ||||
\(9\) | −2.19662 | − | 3.97448i | −0.732206 | − | 1.32483i | ||||
\(10\) | −0.0384478 | + | 1.37033i | −0.0121583 | + | 0.433337i | ||||
\(11\) | −2.67028 | + | 0.851096i | −0.805121 | + | 0.256615i | −0.677800 | − | 0.735246i | \(-0.737066\pi\) |
−0.127321 | + | 0.991862i | \(0.540638\pi\) | |||||||
\(12\) | 6.37278 | − | 8.46794i | 1.83966 | − | 2.44448i | ||||
\(13\) | 0.303133 | − | 0.482433i | 0.0840739 | − | 0.133803i | −0.802040 | − | 0.597270i | \(-0.796252\pi\) |
0.886114 | + | 0.463467i | \(0.153395\pi\) | |||||||
\(14\) | 9.95027 | − | 1.40474i | 2.65932 | − | 0.375434i | ||||
\(15\) | −1.36116 | − | 0.752288i | −0.351451 | − | 0.194240i | ||||
\(16\) | 3.09594 | + | 0.706629i | 0.773986 | + | 0.176657i | ||||
\(17\) | −0.362125 | + | 4.10717i | −0.0878282 | + | 0.996136i | ||||
\(18\) | 4.76933 | + | 9.90361i | 1.12414 | + | 2.33430i | ||||
\(19\) | −1.06587 | − | 0.589086i | −0.244528 | − | 0.135146i | 0.356712 | − | 0.934214i | \(-0.383898\pi\) |
−0.601240 | + | 0.799069i | \(0.705326\pi\) | |||||||
\(20\) | 0.183705 | − | 2.17792i | 0.0410778 | − | 0.486998i | ||||
\(21\) | −3.76527 | + | 10.7605i | −0.821649 | + | 2.34814i | ||||
\(22\) | 6.56903 | − | 1.69450i | 1.40052 | − | 0.361268i | ||||
\(23\) | 1.83885 | + | 5.76931i | 0.383426 | + | 1.20299i | 0.930622 | + | 0.365981i | \(0.119267\pi\) |
−0.547196 | + | 0.837004i | \(0.684305\pi\) | |||||||
\(24\) | −7.97377 | + | 9.44284i | −1.62764 | + | 1.92751i | ||||
\(25\) | 4.67190 | − | 0.262368i | 0.934381 | − | 0.0524737i | ||||
\(26\) | −0.798086 | + | 1.12480i | −0.156518 | + | 0.220591i | ||||
\(27\) | −4.23037 | − | 0.118693i | −0.814134 | − | 0.0228424i | ||||
\(28\) | −15.9649 | + | 1.34662i | −3.01708 | + | 0.254488i | ||||
\(29\) | −3.73527 | + | 4.96330i | −0.693622 | + | 0.921662i | −0.999538 | − | 0.0303966i | \(-0.990323\pi\) |
0.305916 | + | 0.952058i | \(0.401037\pi\) | |||||||
\(30\) | 3.18754 | + | 2.00287i | 0.581963 | + | 0.365671i | ||||
\(31\) | −8.28811 | + | 1.17009i | −1.48859 | + | 0.210154i | −0.836491 | − | 0.547981i | \(-0.815397\pi\) |
−0.652098 | + | 0.758135i | \(0.726111\pi\) | |||||||
\(32\) | 1.26308 | + | 0.363886i | 0.223283 | + | 0.0643266i | ||||
\(33\) | −1.71260 | + | 7.50338i | −0.298125 | + | 1.30617i | ||||
\(34\) | 1.43262 | − | 9.87702i | 0.245693 | − | 1.69390i | ||||
\(35\) | 0.523169 | + | 2.29216i | 0.0884318 | + | 0.387445i | ||||
\(36\) | −6.70670 | − | 16.1914i | −1.11778 | − | 2.69857i | ||||
\(37\) | 5.83781 | − | 3.90070i | 0.959730 | − | 0.641271i | 0.0261570 | − | 0.999658i | \(-0.491673\pi\) |
0.933573 | + | 0.358387i | \(0.116673\pi\) | |||||||
\(38\) | 2.49603 | + | 1.56836i | 0.404910 | + | 0.254422i | ||||
\(39\) | −0.718138 | − | 1.39009i | −0.114994 | − | 0.222593i | ||||
\(40\) | −0.356305 | + | 2.52382i | −0.0563367 | + | 0.399052i | ||||
\(41\) | −1.06331 | + | 4.12211i | −0.166061 | + | 0.643765i | 0.830207 | + | 0.557455i | \(0.188222\pi\) |
−0.996268 | + | 0.0863103i | \(0.972492\pi\) | |||||||
\(42\) | 10.5603 | − | 25.4949i | 1.62949 | − | 3.93395i | ||||
\(43\) | 4.00882 | − | 5.18935i | 0.611339 | − | 0.791369i | ||||
\(44\) | −10.6084 | + | 2.11014i | −1.59927 | + | 0.318115i | ||||
\(45\) | −2.21511 | + | 1.30666i | −0.330210 | + | 0.194786i | ||||
\(46\) | −3.66107 | − | 14.1928i | −0.539795 | − | 2.09261i | ||||
\(47\) | 0.522169 | − | 4.63438i | 0.0761662 | − | 0.675994i | −0.896380 | − | 0.443286i | \(-0.853813\pi\) |
0.972547 | − | 0.232708i | \(-0.0747587\pi\) | |||||||
\(48\) | 5.99091 | − | 6.33679i | 0.864713 | − | 0.914637i | ||||
\(49\) | 9.45532 | − | 3.91652i | 1.35076 | − | 0.559503i | ||||
\(50\) | −11.3266 | −1.60183 | ||||||||
\(51\) | 9.20927 | + | 6.58696i | 1.28956 | + | 0.922360i | ||||
\(52\) | 1.37098 | − | 1.71916i | 0.190121 | − | 0.238405i | ||||
\(53\) | −13.5984 | + | 2.31046i | −1.86788 | + | 0.317366i | −0.987589 | − | 0.157061i | \(-0.949798\pi\) |
−0.880295 | + | 0.474427i | \(0.842655\pi\) | |||||||
\(54\) | 10.2078 | + | 0.861017i | 1.38910 | + | 0.117170i | ||||
\(55\) | 0.524230 | + | 1.49816i | 0.0706872 | + | 0.202012i | ||||
\(56\) | 18.6766 | − | 0.524014i | 2.49576 | − | 0.0700244i | ||||
\(57\) | −2.88048 | + | 1.69915i | −0.381528 | + | 0.225058i | ||||
\(58\) | 9.70100 | − | 11.4883i | 1.27380 | − | 1.50849i | ||||
\(59\) | −1.65511 | + | 2.33266i | −0.215477 | + | 0.303686i | −0.909039 | − | 0.416710i | \(-0.863183\pi\) |
0.693563 | + | 0.720396i | \(0.256040\pi\) | |||||||
\(60\) | −4.89503 | − | 3.47321i | −0.631946 | − | 0.448389i | ||||
\(61\) | 2.18838 | + | 2.90785i | 0.280194 | + | 0.372312i | 0.917119 | − | 0.398613i | \(-0.130508\pi\) |
−0.636925 | + | 0.770925i | \(0.719794\pi\) | |||||||
\(62\) | 20.1894 | − | 1.70296i | 2.56406 | − | 0.216276i | ||||
\(63\) | 12.1628 | + | 14.4037i | 1.53237 | + | 1.81469i | ||||
\(64\) | −8.99792 | − | 3.14851i | −1.12474 | − | 0.393564i | ||||
\(65\) | −0.277926 | − | 0.163945i | −0.0344725 | − | 0.0203348i | ||||
\(66\) | 5.15738 | − | 17.9017i | 0.634829 | − | 2.20354i | ||||
\(67\) | −3.26962 | + | 2.60743i | −0.399447 | + | 0.318549i | −0.802526 | − | 0.596617i | \(-0.796511\pi\) |
0.403079 | + | 0.915165i | \(0.367940\pi\) | |||||||
\(68\) | −3.16348 | + | 15.5946i | −0.383629 | + | 1.89113i | ||||
\(69\) | 16.2115 | + | 3.70017i | 1.95164 | + | 0.445449i | ||||
\(70\) | −0.953290 | − | 5.61066i | −0.113940 | − | 0.670603i | ||||
\(71\) | −10.1089 | − | 3.22201i | −1.19971 | − | 0.382382i | −0.363920 | − | 0.931430i | \(-0.618562\pi\) |
−0.835791 | + | 0.549048i | \(0.814990\pi\) | |||||||
\(72\) | 6.75014 | + | 19.2908i | 0.795512 | + | 2.27344i | ||||
\(73\) | 0.281376 | + | 10.0286i | 0.0329326 | + | 1.17376i | 0.825654 | + | 0.564177i | \(0.190807\pi\) |
−0.792721 | + | 0.609584i | \(0.791336\pi\) | |||||||
\(74\) | −14.6382 | + | 8.63484i | −1.70165 | + | 1.00378i | ||||
\(75\) | 5.89781 | − | 11.4163i | 0.681020 | − | 1.31824i | ||||
\(76\) | −3.83310 | − | 2.71973i | −0.439687 | − | 0.311974i | ||||
\(77\) | 10.1832 | − | 5.62805i | 1.16048 | − | 0.641375i | ||||
\(78\) | 1.54692 | + | 3.45703i | 0.175154 | + | 0.391431i | ||||
\(79\) | 5.64649 | + | 3.77286i | 0.635279 | + | 0.424480i | 0.831072 | − | 0.556165i | \(-0.187728\pi\) |
−0.195792 | + | 0.980645i | \(0.562728\pi\) | |||||||
\(80\) | 0.350857 | − | 1.76388i | 0.0392270 | − | 0.197207i | ||||
\(81\) | 1.06497 | − | 1.69489i | 0.118330 | − | 0.188321i | ||||
\(82\) | 3.12926 | − | 9.81795i | 0.345569 | − | 1.08421i | ||||
\(83\) | 0.693259 | − | 0.775757i | 0.0760951 | − | 0.0851504i | −0.706378 | − | 0.707835i | \(-0.749672\pi\) |
0.782473 | + | 0.622684i | \(0.213958\pi\) | |||||||
\(84\) | −19.0896 | + | 39.6399i | −2.08284 | + | 4.32507i | ||||
\(85\) | 2.33087 | + | 0.139767i | 0.252819 | + | 0.0151599i | ||||
\(86\) | −10.3928 | + | 11.9975i | −1.12068 | + | 1.29372i | ||||
\(87\) | 6.52793 | + | 15.7598i | 0.699867 | + | 1.68963i | ||||
\(88\) | 12.4897 | − | 1.76325i | 1.33141 | − | 0.187963i | ||||
\(89\) | −9.08247 | − | 3.17809i | −0.962740 | − | 0.336877i | −0.197270 | − | 0.980349i | \(-0.563208\pi\) |
−0.765470 | + | 0.643472i | \(0.777493\pi\) | |||||||
\(90\) | 5.53081 | − | 2.85728i | 0.582998 | − | 0.301184i | ||||
\(91\) | −0.843530 | + | 2.20981i | −0.0884259 | + | 0.231651i | ||||
\(92\) | 4.55908 | + | 22.9201i | 0.475317 | + | 2.38958i | ||||
\(93\) | −8.79626 | + | 21.2360i | −0.912129 | + | 2.20208i | ||||
\(94\) | −1.89097 | + | 11.1295i | −0.195039 | + | 1.14792i | ||||
\(95\) | −0.316559 | + | 0.612760i | −0.0324783 | + | 0.0628679i | ||||
\(96\) | 2.62297 | − | 2.47980i | 0.267705 | − | 0.253093i | ||||
\(97\) | −0.434488 | + | 0.366892i | −0.0441156 | + | 0.0372523i | −0.666961 | − | 0.745093i | \(-0.732405\pi\) |
0.622845 | + | 0.782345i | \(0.285977\pi\) | |||||||
\(98\) | −23.3831 | + | 8.18210i | −2.36205 | + | 0.826516i | ||||
\(99\) | 9.24825 | + | 8.74345i | 0.929484 | + | 0.878750i | ||||
\(100\) | 18.0302 | + | 1.01256i | 1.80302 | + | 0.101256i | ||||
\(101\) | −9.29829 | + | 7.41514i | −0.925215 | + | 0.737834i | −0.965240 | − | 0.261365i | \(-0.915828\pi\) |
0.0400255 | + | 0.999199i | \(0.487256\pi\) | |||||||
\(102\) | −21.3629 | − | 17.1692i | −2.11524 | − | 1.70001i | ||||
\(103\) | −1.02681 | + | 4.49873i | −0.101174 | + | 0.443273i | 0.898814 | + | 0.438331i | \(0.144430\pi\) |
−0.999988 | + | 0.00494222i | \(0.998427\pi\) | |||||||
\(104\) | −1.70870 | + | 1.91204i | −0.167552 | + | 0.187491i | ||||
\(105\) | 6.15148 | + | 1.96065i | 0.600323 | + | 0.191340i | ||||
\(106\) | 33.1781 | − | 3.73827i | 3.22254 | − | 0.363093i | ||||
\(107\) | 1.75398 | + | 6.79962i | 0.169564 | + | 0.657344i | 0.995598 | + | 0.0937247i | \(0.0298773\pi\) |
−0.826034 | + | 0.563620i | \(0.809408\pi\) | |||||||
\(108\) | −16.1723 | − | 2.28315i | −1.55618 | − | 0.219696i | ||||
\(109\) | −6.94916 | − | 3.59002i | −0.665608 | − | 0.343861i | 0.0927592 | − | 0.995689i | \(-0.470431\pi\) |
−0.758368 | + | 0.651827i | \(0.774003\pi\) | |||||||
\(110\) | −1.06362 | − | 3.69190i | −0.101412 | − | 0.352009i | ||||
\(111\) | −1.08107 | − | 19.2503i | −0.102611 | − | 1.82716i | ||||
\(112\) | −13.1779 | − | 0.369737i | −1.24520 | − | 0.0349369i | ||||
\(113\) | 9.85661 | + | 10.4257i | 0.927232 | + | 0.980765i | 0.999862 | − | 0.0165940i | \(-0.00528228\pi\) |
−0.0726306 | + | 0.997359i | \(0.523139\pi\) | |||||||
\(114\) | 7.19212 | − | 3.71554i | 0.673604 | − | 0.347992i | ||||
\(115\) | 3.23688 | − | 1.13263i | 0.301840 | − | 0.105618i | ||||
\(116\) | −16.4695 | + | 17.4204i | −1.52916 | + | 1.61744i | ||||
\(117\) | −2.58329 | − | 0.145074i | −0.238825 | − | 0.0134121i | ||||
\(118\) | 4.31665 | − | 5.41291i | 0.397380 | − | 0.498298i | ||||
\(119\) | −1.85196 | − | 17.0163i | −0.169769 | − | 1.55988i | ||||
\(120\) | 5.47236 | + | 4.36407i | 0.499556 | + | 0.398383i | ||||
\(121\) | −2.56512 | + | 1.82005i | −0.233193 | + | 0.165459i | ||||
\(122\) | −4.89420 | − | 7.32469i | −0.443100 | − | 0.663146i | ||||
\(123\) | 8.26628 | + | 8.26628i | 0.745345 | + | 0.745345i | ||||
\(124\) | −32.2907 | + | 0.905990i | −2.89979 | + | 0.0813603i | ||||
\(125\) | −0.460741 | − | 5.46231i | −0.0412099 | − | 0.488564i | ||||
\(126\) | −27.4401 | − | 36.4615i | −2.44455 | − | 3.24824i | ||||
\(127\) | −0.251860 | − | 0.281831i | −0.0223490 | − | 0.0250085i | 0.734363 | − | 0.678757i | \(-0.237481\pi\) |
−0.756712 | + | 0.653749i | \(0.773195\pi\) | |||||||
\(128\) | 18.8900 | + | 7.82448i | 1.66965 | + | 0.691593i | ||||
\(129\) | −6.68093 | − | 16.7222i | −0.588223 | − | 1.47231i | ||||
\(130\) | 0.649439 | + | 0.433941i | 0.0569595 | + | 0.0380591i | ||||
\(131\) | 5.54661 | − | 7.37016i | 0.484610 | − | 0.643933i | −0.488965 | − | 0.872304i | \(-0.662625\pi\) |
0.973574 | + | 0.228370i | \(0.0733396\pi\) | |||||||
\(132\) | −9.81010 | + | 28.0356i | −0.853859 | + | 2.44019i | ||||
\(133\) | 4.81697 | + | 1.53531i | 0.417684 | + | 0.133128i | ||||
\(134\) | 8.25587 | − | 5.85785i | 0.713198 | − | 0.506041i | ||||
\(135\) | 2.39675i | 0.206279i | ||||||||
\(136\) | 4.70306 | − | 17.9506i | 0.403284 | − | 1.53925i | ||||
\(137\) | 12.4980 | − | 2.85258i | 1.06777 | − | 0.243713i | 0.347697 | − | 0.937607i | \(-0.386964\pi\) |
0.720077 | + | 0.693894i | \(0.244107\pi\) | |||||||
\(138\) | −38.6776 | − | 11.1428i | −3.29246 | − | 0.948541i | ||||
\(139\) | −7.35728 | + | 2.80842i | −0.624036 | + | 0.238207i | −0.648163 | − | 0.761502i | \(-0.724462\pi\) |
0.0241265 | + | 0.999709i | \(0.492320\pi\) | |||||||
\(140\) | 1.01592 | + | 9.01654i | 0.0858609 | + | 0.762037i | ||||
\(141\) | −10.2330 | − | 7.70109i | −0.861770 | − | 0.648548i | ||||
\(142\) | 23.9939 | + | 9.15894i | 2.01352 | + | 0.768602i | ||||
\(143\) | −0.398854 | + | 1.54623i | −0.0333538 | + | 0.129302i | ||||
\(144\) | −3.99212 | − | 13.8570i | −0.332677 | − | 1.15475i | ||||
\(145\) | 2.86912 | + | 2.03575i | 0.238267 | + | 0.169060i | ||||
\(146\) | 0.681098 | − | 24.2753i | 0.0563681 | − | 2.00904i | ||||
\(147\) | 3.92876 | − | 27.8287i | 0.324039 | − | 2.29527i | ||||
\(148\) | 24.0737 | − | 12.4368i | 1.97884 | − | 1.02229i | ||||
\(149\) | 0.331440 | + | 2.94161i | 0.0271526 | + | 0.240986i | 0.999956 | + | 0.00935472i | \(0.00297774\pi\) |
−0.972804 | + | 0.231631i | \(0.925594\pi\) | |||||||
\(150\) | −15.8032 | + | 26.7904i | −1.29033 | + | 2.18742i | ||||
\(151\) | −2.76097 | − | 2.46735i | −0.224684 | − | 0.200790i | 0.546398 | − | 0.837526i | \(-0.315999\pi\) |
−0.771082 | + | 0.636735i | \(0.780284\pi\) | |||||||
\(152\) | 4.28519 | + | 3.41732i | 0.347575 | + | 0.277181i | ||||
\(153\) | 17.1193 | − | 7.58263i | 1.38401 | − | 0.613019i | ||||
\(154\) | −25.3745 | + | 12.2197i | −2.04473 | + | 0.984692i | ||||
\(155\) | 0.794046 | + | 4.67342i | 0.0637793 | + | 0.375378i | ||||
\(156\) | −2.15342 | − | 5.64135i | −0.172411 | − | 0.451669i | ||||
\(157\) | 2.53324 | − | 22.4831i | 0.202175 | − | 1.79435i | −0.326162 | − | 0.945314i | \(-0.605755\pi\) |
0.528336 | − | 0.849035i | \(-0.322816\pi\) | |||||||
\(158\) | −13.1343 | − | 9.88458i | −1.04491 | − | 0.786375i | ||||
\(159\) | −13.5081 | + | 35.3873i | −1.07126 | + | 2.80640i | ||||
\(160\) | 0.185938 | − | 0.720824i | 0.0146997 | − | 0.0569861i | ||||
\(161\) | −12.1597 | − | 22.0014i | −0.958322 | − | 1.73395i | ||||
\(162\) | −2.80384 | + | 3.95164i | −0.220291 | + | 0.310470i | ||||
\(163\) | −16.5194 | − | 8.53414i | −1.29390 | − | 0.668445i | −0.332372 | − | 0.943148i | \(-0.607849\pi\) |
−0.961529 | + | 0.274703i | \(0.911420\pi\) | |||||||
\(164\) | −5.85899 | + | 15.3489i | −0.457511 | + | 1.19855i | ||||
\(165\) | 4.27496 | + | 0.850343i | 0.332805 | + | 0.0661991i | ||||
\(166\) | −1.78075 | + | 1.78075i | −0.138213 | + | 0.138213i | ||||
\(167\) | −3.48990 | − | 3.29941i | −0.270057 | − | 0.255316i | 0.540004 | − | 0.841663i | \(-0.318423\pi\) |
−0.810060 | + | 0.586347i | \(0.800566\pi\) | |||||||
\(168\) | 24.8187 | − | 44.9060i | 1.91480 | − | 3.46458i | ||||
\(169\) | 5.49964 | + | 11.4201i | 0.423049 | + | 0.878470i | ||||
\(170\) | −5.61426 | − | 0.654143i | −0.430594 | − | 0.0501705i | ||||
\(171\) | 5.53028i | 0.422911i | ||||||||
\(172\) | 17.6163 | − | 18.1691i | 1.34323 | − | 1.38538i | ||||
\(173\) | 7.76350 | + | 11.6189i | 0.590248 | + | 0.883369i | 0.999579 | − | 0.0290173i | \(-0.00923778\pi\) |
−0.409331 | + | 0.912386i | \(0.634238\pi\) | |||||||
\(174\) | −13.6376 | − | 38.9741i | −1.03387 | − | 2.95462i | ||||
\(175\) | −18.8099 | + | 4.85207i | −1.42190 | + | 0.366782i | ||||
\(176\) | −8.86845 | + | 0.748045i | −0.668485 | + | 0.0563860i | ||||
\(177\) | 3.20808 | + | 7.16935i | 0.241134 | + | 0.538881i | ||||
\(178\) | 21.5191 | + | 8.91349i | 1.61292 | + | 0.668094i | ||||
\(179\) | −1.13820 | − | 0.471458i | −0.0850732 | − | 0.0352385i | 0.339741 | − | 0.940519i | \(-0.389661\pi\) |
−0.424814 | + | 0.905281i | \(0.639661\pi\) | |||||||
\(180\) | −9.05963 | + | 4.05393i | −0.675265 | + | 0.302162i | ||||
\(181\) | 4.62699 | − | 1.47475i | 0.343921 | − | 0.109618i | −0.126729 | − | 0.991937i | \(-0.540448\pi\) |
0.470650 | + | 0.882320i | \(0.344019\pi\) | |||||||
\(182\) | 2.33856 | − | 5.22617i | 0.173345 | − | 0.387389i | ||||
\(183\) | 9.93111 | − | 1.11897i | 0.734129 | − | 0.0827165i | ||||
\(184\) | −3.80962 | − | 26.9848i | −0.280849 | − | 1.98935i | ||||
\(185\) | −2.30096 | − | 3.24290i | −0.169170 | − | 0.238423i | ||||
\(186\) | 24.1409 | − | 50.1292i | 1.77010 | − | 3.67565i | ||||
\(187\) | −2.52862 | − | 11.2755i | −0.184911 | − | 0.824548i | ||||
\(188\) | 4.00507 | − | 17.5473i | 0.292099 | − | 1.27977i | ||||
\(189\) | 17.3207 | − | 2.94291i | 1.25990 | − | 0.214065i | ||||
\(190\) | 0.848224 | − | 1.43795i | 0.0615366 | − | 0.104320i | ||||
\(191\) | −2.14036 | + | 18.9962i | −0.154871 | + | 1.37452i | 0.640296 | + | 0.768128i | \(0.278812\pi\) |
−0.795167 | + | 0.606390i | \(0.792617\pi\) | |||||||
\(192\) | −20.0012 | + | 16.8895i | −1.44346 | + | 1.21889i | ||||
\(193\) | 0.428554 | − | 3.03559i | 0.0308480 | − | 0.218507i | −0.968711 | − | 0.248190i | \(-0.920164\pi\) |
0.999559 | + | 0.0296835i | \(0.00944995\pi\) | |||||||
\(194\) | 1.09986 | − | 0.827731i | 0.0789655 | − | 0.0594277i | ||||
\(195\) | −0.775542 | + | 0.428627i | −0.0555377 | + | 0.0306946i | ||||
\(196\) | 37.9538 | − | 10.9343i | 2.71098 | − | 0.781021i | ||||
\(197\) | −16.6997 | + | 12.5678i | −1.18981 | + | 0.895422i | −0.996323 | − | 0.0856816i | \(-0.972693\pi\) |
−0.193485 | + | 0.981103i | \(0.561979\pi\) | |||||||
\(198\) | −21.1644 | − | 22.3863i | −1.50409 | − | 1.59093i | ||||
\(199\) | −22.7495 | − | 10.1797i | −1.61267 | − | 0.721623i | −0.614915 | − | 0.788594i | \(-0.710809\pi\) |
−0.997755 | + | 0.0669706i | \(0.978667\pi\) | |||||||
\(200\) | −20.9271 | − | 2.35792i | −1.47977 | − | 0.166730i | ||||
\(201\) | 1.60538 | + | 11.3714i | 0.113235 | + | 0.802080i | ||||
\(202\) | 23.4784 | − | 16.6588i | 1.65194 | − | 1.17211i | ||||
\(203\) | 11.1889 | − | 23.2341i | 0.785310 | − | 1.63071i | ||||
\(204\) | 32.4715 | + | 29.2406i | 2.27346 | + | 2.04725i | ||||
\(205\) | 2.35047 | + | 0.536479i | 0.164164 | + | 0.0374693i | ||||
\(206\) | 3.09216 | − | 10.7331i | 0.215441 | − | 0.747813i | ||||
\(207\) | 18.8908 | − | 19.9814i | 1.31300 | − | 1.38881i | ||||
\(208\) | 1.27938 | − | 1.27938i | 0.0887093 | − | 0.0887093i | ||||
\(209\) | 3.34755 | + | 0.665869i | 0.231555 | + | 0.0460591i | ||||
\(210\) | −14.6007 | − | 5.57339i | −1.00755 | − | 0.384600i | ||||
\(211\) | −14.5496 | − | 12.2860i | −1.00163 | − | 0.845805i | −0.0135796 | − | 0.999908i | \(-0.504323\pi\) |
−0.988055 | + | 0.154103i | \(0.950751\pi\) | |||||||
\(212\) | −53.1486 | + | 2.98476i | −3.65026 | + | 0.204994i | ||||
\(213\) | −21.7252 | + | 19.4148i | −1.48858 | + | 1.33028i | ||||
\(214\) | −3.31613 | − | 16.6713i | −0.226686 | − | 1.13963i | ||||
\(215\) | −3.00143 | − | 2.18702i | −0.204696 | − | 0.149153i | ||||
\(216\) | 18.6807 | + | 3.71582i | 1.27106 | + | 0.252830i | ||||
\(217\) | 32.7987 | − | 11.4768i | 2.22652 | − | 0.779094i | ||||
\(218\) | 16.3074 | + | 9.61949i | 1.10448 | + | 0.651514i | ||||
\(219\) | 24.1129 | + | 13.3267i | 1.62940 | + | 0.900535i | ||||
\(220\) | 1.36307 | + | 5.97202i | 0.0918985 | + | 0.402633i | ||||
\(221\) | 1.87166 | + | 1.41972i | 0.125902 | + | 0.0955007i | ||||
\(222\) | 46.6706i | 3.13233i | ||||||||
\(223\) | 9.31014 | + | 13.1214i | 0.623453 | + | 0.878675i | 0.998838 | − | 0.0481939i | \(-0.0153465\pi\) |
−0.375385 | + | 0.926869i | \(0.622489\pi\) | |||||||
\(224\) | −5.43754 | − | 0.458651i | −0.363311 | − | 0.0306449i | ||||
\(225\) | −11.3052 | − | 17.9921i | −0.753677 | − | 1.19947i | ||||
\(226\) | −22.4063 | − | 26.5344i | −1.49045 | − | 1.76504i | ||||
\(227\) | 1.59614 | + | 2.70585i | 0.105940 | + | 0.179594i | 0.909589 | − | 0.415510i | \(-0.136397\pi\) |
−0.803649 | + | 0.595103i | \(0.797111\pi\) | |||||||
\(228\) | −11.7809 | + | 5.27162i | −0.780210 | + | 0.349121i | ||||
\(229\) | −0.425614 | − | 0.476263i | −0.0281254 | − | 0.0314723i | 0.731413 | − | 0.681934i | \(-0.238861\pi\) |
−0.759539 | + | 0.650462i | \(0.774575\pi\) | |||||||
\(230\) | −7.97657 | + | 2.29801i | −0.525960 | + | 0.151526i | ||||
\(231\) | 0.896101 | − | 31.9383i | 0.0589591 | − | 2.10138i | ||||
\(232\) | 20.3152 | − | 19.2063i | 1.33376 | − | 1.26096i | ||||
\(233\) | 5.73119 | + | 22.2180i | 0.375463 | + | 1.45555i | 0.826446 | + | 0.563016i | \(0.190359\pi\) |
−0.450983 | + | 0.892532i | \(0.648927\pi\) | |||||||
\(234\) | 6.22357 | + | 0.701228i | 0.406848 | + | 0.0458407i | ||||
\(235\) | −2.63188 | − | 0.221996i | −0.171685 | − | 0.0144814i | ||||
\(236\) | −7.35534 | + | 8.23063i | −0.478792 | + | 0.535768i | ||||
\(237\) | 16.8019 | − | 8.09138i | 1.09140 | − | 0.525592i | ||||
\(238\) | 2.16629 | + | 41.3762i | 0.140420 | + | 2.68202i | ||||
\(239\) | −1.32685 | − | 1.66382i | −0.0858267 | − | 0.107623i | 0.737064 | − | 0.675823i | \(-0.236212\pi\) |
−0.822891 | + | 0.568200i | \(0.807640\pi\) | |||||||
\(240\) | −3.68249 | − | 3.29088i | −0.237704 | − | 0.212425i | ||||
\(241\) | 3.64088 | + | 9.53810i | 0.234530 | + | 0.614403i | 0.999562 | − | 0.0295890i | \(-0.00941986\pi\) |
−0.765032 | + | 0.643992i | \(0.777277\pi\) | |||||||
\(242\) | 6.44638 | − | 4.05053i | 0.414389 | − | 0.260378i | ||||
\(243\) | −8.35024 | − | 16.1635i | −0.535668 | − | 1.03689i | ||||
\(244\) | 7.13602 | + | 12.0973i | 0.456837 | + | 0.774451i | ||||
\(245\) | −2.36738 | − | 5.29057i | −0.151246 | − | 0.338002i | ||||
\(246\) | −18.8559 | − | 21.0998i | −1.20221 | − | 1.34527i | ||||
\(247\) | −0.607296 | + | 0.335640i | −0.0386413 | + | 0.0213563i | ||||
\(248\) | 37.6566 | + | 1.05654i | 2.39119 | + | 0.0670904i | ||||
\(249\) | −0.867609 | − | 2.72209i | −0.0549825 | − | 0.172506i | ||||
\(250\) | 0.372146 | + | 13.2638i | 0.0235366 | + | 0.838876i | ||||
\(251\) | −4.40470 | − | 4.40470i | −0.278022 | − | 0.278022i | 0.554297 | − | 0.832319i | \(-0.312987\pi\) |
−0.832319 | + | 0.554297i | \(0.812987\pi\) | |||||||
\(252\) | 40.4209 | + | 60.4941i | 2.54628 | + | 3.81077i | ||||
\(253\) | −9.82048 | − | 13.8407i | −0.617408 | − | 0.870156i | ||||
\(254\) | 0.570441 | + | 0.715311i | 0.0357927 | + | 0.0448826i | ||||
\(255\) | 3.58269 | − | 5.31811i | 0.224357 | − | 0.333033i | ||||
\(256\) | −27.4135 | − | 13.2016i | −1.71334 | − | 0.825102i | ||||
\(257\) | −13.3748 | + | 5.54001i | −0.834295 | + | 0.345576i | −0.758602 | − | 0.651555i | \(-0.774117\pi\) |
−0.0756937 | + | 0.997131i | \(0.524117\pi\) | |||||||
\(258\) | 13.8768 | + | 41.3208i | 0.863932 | + | 2.57252i | ||||
\(259\) | −20.6104 | + | 20.6104i | −1.28067 | + | 1.28067i | ||||
\(260\) | −0.995014 | − | 0.748825i | −0.0617082 | − | 0.0464402i | ||||
\(261\) | 27.9315 | + | 3.94327i | 1.72892 | + | 0.244082i | ||||
\(262\) | −14.4053 | + | 17.0593i | −0.889962 | + | 1.05393i | ||||
\(263\) | −29.5673 | − | 5.02368i | −1.82320 | − | 0.309773i | −0.847814 | − | 0.530294i | \(-0.822081\pi\) |
−0.975382 | + | 0.220521i | \(0.929224\pi\) | |||||||
\(264\) | 13.2555 | − | 32.0015i | 0.815817 | − | 1.96956i | ||||
\(265\) | 1.52397 | + | 7.66153i | 0.0936169 | + | 0.470644i | ||||
\(266\) | −11.4332 | − | 4.36429i | −0.701016 | − | 0.267592i | ||||
\(267\) | −20.1891 | + | 17.0482i | −1.23555 | + | 1.04333i | ||||
\(268\) | −13.6658 | + | 8.58676i | −0.834769 | + | 0.524520i | ||||
\(269\) | 0.868695 | − | 10.2988i | 0.0529652 | − | 0.627930i | −0.919224 | − | 0.393734i | \(-0.871183\pi\) |
0.972190 | − | 0.234195i | \(-0.0752456\pi\) | |||||||
\(270\) | 0.325296 | − | 5.79244i | 0.0197969 | − | 0.352517i | ||||
\(271\) | −29.1031 | + | 6.64260i | −1.76789 | + | 0.403509i | −0.977809 | − | 0.209496i | \(-0.932818\pi\) |
−0.790079 | + | 0.613005i | \(0.789960\pi\) | |||||||
\(272\) | −4.02336 | + | 12.4597i | −0.243952 | + | 0.755479i | ||||
\(273\) | 4.04986 | + | 5.07836i | 0.245108 | + | 0.307356i | ||||
\(274\) | −30.5921 | + | 5.19781i | −1.84814 | + | 0.314011i | ||||
\(275\) | −12.2520 | + | 4.67684i | −0.738824 | + | 0.282024i | ||||
\(276\) | 60.5728 | + | 21.1953i | 3.64605 | + | 1.27581i | ||||
\(277\) | −13.8911 | − | 26.8888i | −0.834634 | − | 1.61559i | −0.787185 | − | 0.616717i | \(-0.788462\pi\) |
−0.0474486 | − | 0.998874i | \(-0.515109\pi\) | |||||||
\(278\) | 18.1622 | − | 5.78880i | 1.08929 | − | 0.347189i | ||||
\(279\) | 22.8563 | + | 30.3707i | 1.36837 | + | 1.81825i | ||||
\(280\) | −0.593302 | − | 10.5647i | −0.0354566 | − | 0.631363i | ||||
\(281\) | −5.71433 | − | 10.3393i | −0.340889 | − | 0.616791i | 0.648646 | − | 0.761091i | \(-0.275336\pi\) |
−0.989534 | + | 0.144299i | \(0.953907\pi\) | |||||||
\(282\) | 23.6857 | + | 20.0008i | 1.41046 | + | 1.19103i | ||||
\(283\) | 0.0437464 | + | 0.00617597i | 0.00260046 | + | 0.000367123i | 0.141090 | − | 0.989997i | \(-0.454939\pi\) |
−0.138490 | + | 0.990364i | \(0.544225\pi\) | |||||||
\(284\) | −37.3758 | − | 16.7246i | −2.21785 | − | 0.992423i | ||||
\(285\) | 1.00766 | + | 1.60369i | 0.0596888 | + | 0.0949941i | ||||
\(286\) | 1.17381 | − | 3.68278i | 0.0694086 | − | 0.217767i | ||||
\(287\) | 0.990922 | − | 17.6450i | 0.0584923 | − | 1.04155i | ||||
\(288\) | −1.32824 | − | 5.81939i | −0.0782672 | − | 0.342911i | ||||
\(289\) | −16.7377 | − | 2.97462i | −0.984572 | − | 0.174978i | ||||
\(290\) | −6.65775 | − | 5.30938i | −0.390957 | − | 0.311778i | ||||
\(291\) | 0.261584 | + | 1.53957i | 0.0153343 | + | 0.0902515i | ||||
\(292\) | −3.25432 | + | 38.5816i | −0.190445 | + | 2.25782i | ||||
\(293\) | 9.39573 | + | 5.90373i | 0.548904 | + | 0.344899i | 0.777760 | − | 0.628561i | \(-0.216356\pi\) |
−0.228856 | + | 0.973460i | \(0.573499\pi\) | |||||||
\(294\) | −13.2720 | + | 66.7229i | −0.774039 | + | 3.89136i | ||||
\(295\) | 1.34684 | + | 0.899927i | 0.0784159 | + | 0.0523958i | ||||
\(296\) | −28.8431 | + | 12.9065i | −1.67647 | + | 0.750173i | ||||
\(297\) | 11.3973 | − | 3.28350i | 0.661338 | − | 0.190528i | ||||
\(298\) | −0.401773 | − | 7.15424i | −0.0232741 | − | 0.414434i | ||||
\(299\) | 3.34072 | + | 0.861749i | 0.193199 | + | 0.0498362i | ||||
\(300\) | 27.5513 | − | 41.2334i | 1.59067 | − | 2.38061i | ||||
\(301\) | −12.1197 | + | 24.3760i | −0.698566 | + | 1.40501i | ||||
\(302\) | 6.33780 | + | 6.33780i | 0.364699 | + | 0.364699i | ||||
\(303\) | 4.56546 | + | 32.3387i | 0.262279 | + | 1.85781i | ||||
\(304\) | −2.88361 | − | 2.57695i | −0.165386 | − | 0.147798i | ||||
\(305\) | 1.61141 | − | 1.28506i | 0.0922693 | − | 0.0735823i | ||||
\(306\) | −42.4029 | + | 16.0021i | −2.42401 | + | 0.914780i | ||||
\(307\) | −26.5528 | −1.51545 | −0.757724 | − | 0.652575i | \(-0.773689\pi\) | ||||
−0.757724 | + | 0.652575i | \(0.773689\pi\) | |||||||
\(308\) | 41.4847 | − | 17.1835i | 2.36381 | − | 0.979122i | ||||
\(309\) | 9.20803 | + | 8.70543i | 0.523826 | + | 0.495234i | ||||
\(310\) | −1.28475 | − | 11.4024i | −0.0729687 | − | 0.647615i | ||||
\(311\) | −9.81966 | − | 4.39401i | −0.556822 | − | 0.249162i | 0.110570 | − | 0.993868i | \(-0.464732\pi\) |
−0.667392 | + | 0.744707i | \(0.732589\pi\) | |||||||
\(312\) | 2.13843 | + | 6.70924i | 0.121065 | + | 0.379836i | ||||
\(313\) | 29.8359 | + | 7.69624i | 1.68642 | + | 0.435017i | 0.966005 | − | 0.258523i | \(-0.0832358\pi\) |
0.720418 | + | 0.693540i | \(0.243950\pi\) | |||||||
\(314\) | −9.17381 | + | 53.9932i | −0.517708 | + | 3.04701i | ||||
\(315\) | 7.96092 | − | 7.11431i | 0.448547 | − | 0.400846i | ||||
\(316\) | 20.0242 | + | 16.9089i | 1.12645 | + | 0.951200i | ||||
\(317\) | 21.6709 | − | 20.4880i | 1.21716 | − | 1.15072i | 0.233182 | − | 0.972433i | \(-0.425086\pi\) |
0.983978 | − | 0.178290i | \(-0.0570566\pi\) | |||||||
\(318\) | 37.4490 | − | 83.6904i | 2.10004 | − | 4.69312i | ||||
\(319\) | 5.74998 | − | 16.4325i | 0.321937 | − | 0.920043i | ||||
\(320\) | −1.63949 | + | 5.14385i | −0.0916504 | + | 0.287550i | ||||
\(321\) | 18.5301 | + | 5.33842i | 1.03425 | + | 0.297961i | ||||
\(322\) | 26.4014 | + | 54.8231i | 1.47129 | + | 3.05517i | ||||
\(323\) | 2.80546 | − | 4.16440i | 0.156100 | − | 0.231713i | ||||
\(324\) | 4.81655 | − | 6.03976i | 0.267586 | − | 0.335542i | ||||
\(325\) | 1.28963 | − | 2.33341i | 0.0715359 | − | 0.129434i | ||||
\(326\) | 38.7657 | + | 22.8673i | 2.14703 | + | 1.26650i | ||||
\(327\) | −18.1870 | + | 11.4276i | −1.00574 | + | 0.631950i | ||||
\(328\) | 7.82548 | − | 17.4882i | 0.432090 | − | 0.965626i | ||||
\(329\) | 1.62731 | + | 19.2925i | 0.0897162 | + | 1.06363i | ||||
\(330\) | −10.2163 | − | 2.63531i | −0.562387 | − | 0.145069i | ||||
\(331\) | 25.2286 | + | 4.28651i | 1.38669 | + | 0.235608i | 0.812426 | − | 0.583064i | \(-0.198146\pi\) |
0.574262 | + | 0.818672i | \(0.305289\pi\) | |||||||
\(332\) | 2.99387 | − | 2.67549i | 0.164310 | − | 0.146837i | ||||
\(333\) | −28.3267 | − | 14.6339i | −1.55229 | − | 0.801933i | ||||
\(334\) | 7.98655 | + | 8.44765i | 0.437004 | + | 0.462235i | ||||
\(335\) | 1.52803 | + | 1.80956i | 0.0834854 | + | 0.0988666i | ||||
\(336\) | −19.2608 | + | 30.6533i | −1.05076 | + | 1.67228i | ||||
\(337\) | 1.64911 | − | 1.10190i | 0.0898325 | − | 0.0600242i | −0.509843 | − | 0.860268i | \(-0.670296\pi\) |
0.599675 | + | 0.800243i | \(0.295296\pi\) | |||||||
\(338\) | −11.7415 | − | 28.3464i | −0.638652 | − | 1.54184i | ||||
\(339\) | 38.4116 | − | 8.76720i | 2.08623 | − | 0.476169i | ||||
\(340\) | 8.87857 | + | 1.54319i | 0.481508 | + | 0.0836912i | ||||
\(341\) | 21.1357 | − | 10.1784i | 1.14457 | − | 0.551193i | ||||
\(342\) | 0.750592 | − | 13.3655i | 0.0405874 | − | 0.722725i | ||||
\(343\) | −11.1643 | + | 7.45977i | −0.602818 | + | 0.402790i | ||||
\(344\) | −21.6993 | + | 20.0031i | −1.16995 | + | 1.07849i | ||||
\(345\) | 1.83722 | − | 9.23632i | 0.0989125 | − | 0.497267i | ||||
\(346\) | −17.1858 | − | 29.1341i | −0.923914 | − | 1.56626i | ||||
\(347\) | 3.41649 | − | 2.57117i | 0.183407 | − | 0.138028i | −0.505640 | − | 0.862745i | \(-0.668744\pi\) |
0.689047 | + | 0.724717i | \(0.258029\pi\) | |||||||
\(348\) | 18.2249 | + | 63.2600i | 0.976957 | + | 3.39109i | ||||
\(349\) | 2.82654 | − | 16.6358i | 0.151301 | − | 0.890495i | −0.803949 | − | 0.594698i | \(-0.797272\pi\) |
0.955251 | − | 0.295798i | \(-0.0955854\pi\) | |||||||
\(350\) | 46.1181 | − | 9.17347i | 2.46512 | − | 0.490342i | ||||
\(351\) | −1.33962 | + | 2.00489i | −0.0715038 | + | 0.107013i | ||||
\(352\) | −3.68248 | + | 0.103320i | −0.196277 | + | 0.00550699i | ||||
\(353\) | −11.4702 | + | 1.29238i | −0.610496 | + | 0.0687863i | −0.411799 | − | 0.911275i | \(-0.635099\pi\) |
−0.198697 | + | 0.980061i | \(0.563671\pi\) | |||||||
\(354\) | −6.78020 | − | 17.7622i | −0.360363 | − | 0.944052i | ||||
\(355\) | −1.66345 | + | 5.77398i | −0.0882870 | + | 0.306451i | ||||
\(356\) | −33.4582 | − | 16.1126i | −1.77328 | − | 0.853968i | ||||
\(357\) | −42.8318 | − | 19.3613i | −2.26690 | − | 1.02471i | ||||
\(358\) | 2.68680 | + | 1.29390i | 0.142002 | + | 0.0683846i | ||||
\(359\) | −3.14573 | + | 5.69177i | −0.166025 | + | 0.300400i | −0.945252 | − | 0.326343i | \(-0.894184\pi\) |
0.779226 | + | 0.626743i | \(0.215612\pi\) | |||||||
\(360\) | 10.8136 | − | 4.12775i | 0.569924 | − | 0.217551i | ||||
\(361\) | −9.31955 | − | 14.8320i | −0.490503 | − | 0.780630i | ||||
\(362\) | −11.3826 | + | 2.93618i | −0.598257 | + | 0.154322i | ||||
\(363\) | 0.725954 | + | 8.60655i | 0.0381027 | + | 0.451727i | ||||
\(364\) | −4.18983 | + | 8.11020i | −0.219607 | + | 0.425090i | ||||
\(365\) | 5.67286 | − | 0.318581i | 0.296931 | − | 0.0166753i | ||||
\(366\) | −24.1533 | + | 1.35642i | −1.26251 | + | 0.0709012i | ||||
\(367\) | −8.02565 | + | 15.5352i | −0.418936 | + | 0.810929i | −0.999996 | − | 0.00293208i | \(-0.999067\pi\) |
0.581060 | + | 0.813861i | \(0.302638\pi\) | |||||||
\(368\) | 1.61620 | + | 19.1608i | 0.0842502 | + | 0.998828i | ||||
\(369\) | 18.7189 | − | 4.82859i | 0.974467 | − | 0.251366i | ||||
\(370\) | 5.12080 | + | 8.14971i | 0.266218 | + | 0.423683i | ||||
\(371\) | 53.4968 | − | 20.4208i | 2.77742 | − | 1.06020i | ||||
\(372\) | −42.9101 | + | 77.6399i | −2.22478 | + | 4.02544i | ||||
\(373\) | 16.2113 | + | 7.80693i | 0.839387 | + | 0.404228i | 0.803627 | − | 0.595133i | \(-0.202901\pi\) |
0.0357600 | + | 0.999360i | \(0.488615\pi\) | |||||||
\(374\) | 4.58079 | + | 27.5938i | 0.236867 | + | 1.42684i | ||||
\(375\) | −13.5626 | − | 6.53141i | −0.700370 | − | 0.337281i | ||||
\(376\) | −5.81063 | + | 20.1692i | −0.299660 | + | 1.04014i | ||||
\(377\) | 1.26218 | + | 3.30656i | 0.0650055 | + | 0.170296i | ||||
\(378\) | −42.2600 | + | 4.76156i | −2.17362 | + | 0.244908i | ||||
\(379\) | −4.27555 | + | 0.119960i | −0.219620 | + | 0.00616195i | −0.137687 | − | 0.990476i | \(-0.543967\pi\) |
−0.0819336 | + | 0.996638i | \(0.526110\pi\) | |||||||
\(380\) | −1.47879 | + | 2.21317i | −0.0758603 | + | 0.113533i | ||||
\(381\) | −1.01801 | + | 0.202494i | −0.0521540 | + | 0.0103741i | ||||
\(382\) | 7.75104 | − | 45.6194i | 0.396578 | − | 2.33409i | ||||
\(383\) | −4.18003 | − | 14.5092i | −0.213589 | − | 0.741385i | −0.993332 | − | 0.115286i | \(-0.963222\pi\) |
0.779743 | − | 0.626100i | \(-0.215350\pi\) | |||||||
\(384\) | 44.8627 | − | 33.7627i | 2.28939 | − | 1.72294i | ||||
\(385\) | −3.34785 | − | 5.67544i | −0.170622 | − | 0.289247i | ||||
\(386\) | −1.44773 | + | 7.27822i | −0.0736874 | + | 0.370452i | ||||
\(387\) | −29.4308 | − | 4.53394i | −1.49605 | − | 0.230473i | ||||
\(388\) | −1.82481 | + | 1.21930i | −0.0926407 | + | 0.0619005i | ||||
\(389\) | 1.19918 | − | 21.3534i | 0.0608010 | − | 1.08266i | −0.808537 | − | 0.588445i | \(-0.799740\pi\) |
0.869338 | − | 0.494218i | \(-0.164545\pi\) | |||||||
\(390\) | 1.93250 | − | 0.930642i | 0.0978558 | − | 0.0471249i | ||||
\(391\) | −24.3615 | + | 5.46324i | −1.23201 | + | 0.276288i | ||||
\(392\) | −44.9060 | + | 10.2495i | −2.26809 | + | 0.517678i | ||||
\(393\) | −9.69351 | − | 23.4022i | −0.488973 | − | 1.18049i | ||||
\(394\) | 42.0655 | − | 28.1073i | 2.11923 | − | 1.41602i | ||||
\(395\) | 2.04618 | − | 3.25648i | 0.102954 | − | 0.163851i | ||||
\(396\) | 31.6892 | + | 37.5276i | 1.59244 | + | 1.88583i | ||||
\(397\) | 20.2749 | + | 21.4455i | 1.01757 | + | 1.07632i | 0.997067 | + | 0.0765286i | \(0.0243837\pi\) |
0.0205022 | + | 0.999790i | \(0.493473\pi\) | |||||||
\(398\) | 53.5991 | + | 27.6900i | 2.68668 | + | 1.38797i | ||||
\(399\) | 10.3522 | − | 9.25127i | 0.518257 | − | 0.463143i | ||||
\(400\) | 14.6493 | + | 2.48902i | 0.732467 | + | 0.124451i | ||||
\(401\) | 19.0769 | + | 4.92093i | 0.952653 | + | 0.245739i | 0.693792 | − | 0.720175i | \(-0.255939\pi\) |
0.258861 | + | 0.965915i | \(0.416653\pi\) | |||||||
\(402\) | −2.33649 | − | 27.7003i | −0.116534 | − | 1.38156i | ||||
\(403\) | −1.94791 | + | 4.35315i | −0.0970323 | + | 0.216846i | ||||
\(404\) | −38.8633 | + | 24.4194i | −1.93352 | + | 1.21491i | ||||
\(405\) | −0.976413 | − | 0.575971i | −0.0485183 | − | 0.0286202i | ||||
\(406\) | −30.1948 | + | 54.6333i | −1.49854 | + | 2.71140i | ||||
\(407\) | −12.2687 | + | 15.3845i | −0.608139 | + | 0.762582i | ||||
\(408\) | −35.8959 | − | 36.1691i | −1.77711 | − | 1.79064i | ||||
\(409\) | 6.46086 | + | 13.4161i | 0.319469 | + | 0.663384i | 0.997425 | − | 0.0717186i | \(-0.0228484\pi\) |
−0.677956 | + | 0.735102i | \(0.737134\pi\) | |||||||
\(410\) | −5.60777 | − | 1.61557i | −0.276948 | − | 0.0797873i | ||||
\(411\) | 10.6905 | − | 33.5409i | 0.527321 | − | 1.65445i | ||||
\(412\) | −5.88175 | + | 16.8091i | −0.289773 | + | 0.828124i | ||||
\(413\) | 4.84981 | − | 10.8383i | 0.238644 | − | 0.533316i | ||||
\(414\) | −48.3670 | + | 45.7270i | −2.37711 | + | 2.24736i | ||||
\(415\) | −0.450178 | − | 0.380141i | −0.0220983 | − | 0.0186604i | ||||
\(416\) | 0.558431 | − | 0.499045i | 0.0273793 | − | 0.0244677i | ||||
\(417\) | −3.62245 | + | 21.3202i | −0.177392 | + | 1.04406i | ||||
\(418\) | −7.99995 | − | 2.06361i | −0.391290 | − | 0.100934i | ||||
\(419\) | 9.26711 | + | 29.0752i | 0.452728 | + | 1.42042i | 0.861489 | + | 0.507776i | \(0.169532\pi\) |
−0.408761 | + | 0.912641i | \(0.634039\pi\) | |||||||
\(420\) | 22.7439 | + | 10.1772i | 1.10979 | + | 0.496598i | ||||
\(421\) | 2.97003 | + | 26.3597i | 0.144750 | + | 1.28469i | 0.830567 | + | 0.556919i | \(0.188017\pi\) |
−0.685816 | + | 0.727775i | \(0.740555\pi\) | |||||||
\(422\) | 33.4958 | + | 31.6675i | 1.63055 | + | 1.54155i | ||||
\(423\) | −19.5662 | + | 8.10461i | −0.951344 | + | 0.394059i | ||||
\(424\) | 62.0781 | 3.01478 | ||||||||
\(425\) | −0.614220 | + | 19.2833i | −0.0297941 | + | 0.935378i | ||||
\(426\) | 55.1402 | − | 43.9729i | 2.67155 | − | 2.13049i | ||||
\(427\) | −11.2654 | − | 10.0674i | −0.545173 | − | 0.487196i | ||||
\(428\) | 3.78842 | + | 26.8346i | 0.183120 | + | 1.29710i | ||||
\(429\) | 3.10073 | + | 3.10073i | 0.149705 | + | 0.149705i | ||||
\(430\) | 6.95700 | + | 5.69293i | 0.335497 | + | 0.274537i | ||||
\(431\) | 0.815470 | − | 1.22044i | 0.0392798 | − | 0.0587864i | −0.811310 | − | 0.584616i | \(-0.801245\pi\) |
0.850590 | + | 0.525830i | \(0.176245\pi\) | |||||||
\(432\) | −13.0131 | − | 3.35676i | −0.626093 | − | 0.161502i | ||||
\(433\) | −1.23459 | − | 21.9839i | −0.0593305 | − | 1.05648i | −0.876908 | − | 0.480658i | \(-0.840398\pi\) |
0.817577 | − | 0.575819i | \(-0.195317\pi\) | |||||||
\(434\) | −80.8253 | + | 23.2854i | −3.87974 | + | 1.11773i | ||||
\(435\) | 8.81814 | − | 3.94586i | 0.422798 | − | 0.189190i | ||||
\(436\) | −25.0989 | − | 16.7706i | −1.20202 | − | 0.803165i | ||||
\(437\) | 1.43865 | − | 7.23259i | 0.0688200 | − | 0.345982i | ||||
\(438\) | −56.4669 | − | 35.4805i | −2.69809 | − | 1.69533i | ||||
\(439\) | −1.44204 | + | 17.0961i | −0.0688247 | + | 0.815951i | 0.874703 | + | 0.484659i | \(0.161056\pi\) |
−0.943528 | + | 0.331293i | \(0.892515\pi\) | |||||||
\(440\) | −1.19658 | − | 7.04258i | −0.0570448 | − | 0.335742i | ||||
\(441\) | −36.3358 | − | 28.9769i | −1.73028 | − | 1.37985i | ||||
\(442\) | −4.33073 | − | 3.68519i | −0.205992 | − | 0.175287i | ||||
\(443\) | −2.19459 | − | 9.61512i | −0.104268 | − | 0.456828i | −0.999927 | − | 0.0120864i | \(-0.996153\pi\) |
0.895659 | − | 0.444742i | \(-0.146704\pi\) | |||||||
\(444\) | 4.17218 | − | 74.2925i | 0.198003 | − | 3.52577i | ||||
\(445\) | −1.65490 | + | 5.19218i | −0.0784496 | + | 0.246133i | ||||
\(446\) | −20.7198 | − | 32.9753i | −0.981109 | − | 1.56143i | ||||
\(447\) | 7.42010 | + | 3.32028i | 0.350959 | + | 0.157044i | ||||
\(448\) | 39.1865 | + | 5.53221i | 1.85139 | + | 0.261372i | ||||
\(449\) | −10.5808 | − | 8.93468i | −0.499338 | − | 0.421654i | 0.360084 | − | 0.932920i | \(-0.382748\pi\) |
−0.859422 | + | 0.511266i | \(0.829177\pi\) | |||||||
\(450\) | 24.8802 | + | 45.0174i | 1.17287 | + | 2.12214i | ||||
\(451\) | −0.668973 | − | 11.9122i | −0.0315007 | − | 0.560922i | ||||
\(452\) | 33.2954 | + | 44.2418i | 1.56608 | + | 2.08096i | ||||
\(453\) | −9.68810 | + | 3.08788i | −0.455187 | + | 0.145081i | ||||
\(454\) | −3.49029 | − | 6.75611i | −0.163807 | − | 0.317080i | ||||
\(455\) | 1.26440 | + | 0.442433i | 0.0592761 | + | 0.0207416i | ||||
\(456\) | 14.0617 | − | 5.36762i | 0.658498 | − | 0.251362i | ||||
\(457\) | −30.9248 | + | 5.25433i | −1.44660 | + | 0.245787i | −0.837122 | − | 0.547016i | \(-0.815764\pi\) |
−0.609478 | + | 0.792803i | \(0.708621\pi\) | |||||||
\(458\) | 0.963980 | + | 1.20879i | 0.0450438 | + | 0.0564832i | ||||
\(459\) | 2.01941 | − | 17.3319i | 0.0942581 | − | 0.808982i | ||||
\(460\) | 12.9029 | − | 2.94501i | 0.601602 | − | 0.137312i | ||||
\(461\) | −0.369535 | + | 6.58018i | −0.0172109 | + | 0.306469i | 0.977992 | + | 0.208641i | \(0.0669040\pi\) |
−0.995203 | + | 0.0978285i | \(0.968810\pi\) | |||||||
\(462\) | −6.50048 | + | 77.0664i | −0.302429 | + | 3.58545i | ||||
\(463\) | 23.3473 | − | 14.6701i | 1.08504 | − | 0.681775i | 0.134042 | − | 0.990976i | \(-0.457204\pi\) |
0.950997 | + | 0.309200i | \(0.100061\pi\) | |||||||
\(464\) | −15.0714 | + | 12.7266i | −0.699671 | + | 0.590820i | ||||
\(465\) | 12.1617 | + | 4.64237i | 0.563986 | + | 0.215285i | ||||
\(466\) | −10.8356 | − | 54.4741i | −0.501948 | − | 2.52346i | ||||
\(467\) | 15.2106 | − | 36.7216i | 0.703862 | − | 1.69927i | −0.0109338 | − | 0.999940i | \(-0.503480\pi\) |
0.714796 | − | 0.699333i | \(-0.246520\pi\) | |||||||
\(468\) | −9.84429 | − | 1.67261i | −0.455052 | − | 0.0773165i | ||||
\(469\) | 11.2010 | − | 13.2647i | 0.517214 | − | 0.612505i | ||||
\(470\) | 6.33056 | + | 0.893726i | 0.292007 | + | 0.0412245i | ||||
\(471\) | −49.6439 | − | 37.3609i | −2.28747 | − | 1.72150i | ||||
\(472\) | 9.10228 | − | 9.10228i | 0.418967 | − | 0.418967i | ||||
\(473\) | −6.28804 | + | 17.2689i | −0.289124 | + | 0.794026i | ||||
\(474\) | −41.7049 | + | 17.2747i | −1.91557 | + | 0.793455i | ||||
\(475\) | −5.13421 | − | 2.47250i | −0.235574 | − | 0.113446i | ||||
\(476\) | 0.250475 | − | 66.0582i | 0.0114805 | − | 3.02777i | ||||
\(477\) | 39.0534 | + | 48.9714i | 1.78813 | + | 2.24224i | ||||
\(478\) | 2.98089 | + | 4.20118i | 0.136343 | + | 0.192157i | ||||
\(479\) | 6.15746 | + | 9.21529i | 0.281342 | + | 0.421057i | 0.945046 | − | 0.326938i | \(-0.106017\pi\) |
−0.663704 | + | 0.747995i | \(0.731017\pi\) | |||||||
\(480\) | −1.44551 | − | 1.44551i | −0.0659781 | − | 0.0659781i | ||||
\(481\) | −0.112195 | − | 3.99878i | −0.00511565 | − | 0.182329i | ||||
\(482\) | −7.50470 | − | 23.5457i | −0.341830 | − | 1.07248i | ||||
\(483\) | −69.0046 | − | 1.93608i | −3.13982 | − | 0.0880948i | ||||
\(484\) | −10.6237 | + | 5.87154i | −0.482898 | + | 0.266888i | ||||
\(485\) | 0.214604 | + | 0.240142i | 0.00974465 | + | 0.0109043i | ||||
\(486\) | 17.9870 | + | 40.1970i | 0.815907 | + | 1.82337i | ||||
\(487\) | 13.8857 | + | 23.5397i | 0.629221 | + | 1.06668i | 0.990928 | + | 0.134393i | \(0.0429084\pi\) |
−0.361707 | + | 0.932292i | \(0.617806\pi\) | |||||||
\(488\) | −7.51772 | − | 14.5520i | −0.340311 | − | 0.658736i | ||||
\(489\) | −43.2338 | + | 27.1656i | −1.95510 | + | 1.22847i | ||||
\(490\) | 5.00340 | + | 13.1075i | 0.226030 | + | 0.592137i | ||||
\(491\) | −18.2583 | − | 16.3166i | −0.823984 | − | 0.736357i | 0.143402 | − | 0.989665i | \(-0.454196\pi\) |
−0.967386 | + | 0.253307i | \(0.918482\pi\) | |||||||
\(492\) | 28.1295 | + | 35.2733i | 1.26818 | + | 1.59024i | ||||
\(493\) | −19.0325 | − | 17.1387i | −0.857181 | − | 0.771889i | ||||
\(494\) | 1.51326 | − | 0.728748i | 0.0680848 | − | 0.0327879i | ||||
\(495\) | 4.80289 | − | 5.37443i | 0.215874 | − | 0.241563i | ||||
\(496\) | −26.4863 | − | 2.23410i | −1.18927 | − | 0.100314i | ||||
\(497\) | 43.7697 | + | 4.93166i | 1.96334 | + | 0.221215i | ||||
\(498\) | 1.72738 | + | 6.69648i | 0.0774056 | + | 0.300077i | ||||
\(499\) | 20.9529 | − | 19.8092i | 0.937981 | − | 0.886783i | −0.0557656 | − | 0.998444i | \(-0.517760\pi\) |
0.993746 | + | 0.111661i | \(0.0356171\pi\) | |||||||
\(500\) | 0.593334 | − | 21.1472i | 0.0265347 | − | 0.945732i | ||||
\(501\) | −12.6732 | + | 3.65108i | −0.566195 | + | 0.163118i | ||||
\(502\) | 10.0474 | + | 11.2431i | 0.448438 | + | 0.501802i | ||||
\(503\) | −35.6118 | + | 15.9352i | −1.58785 | + | 0.710517i | −0.995464 | − | 0.0951373i | \(-0.969671\pi\) |
−0.592386 | + | 0.805654i | \(0.701814\pi\) | |||||||
\(504\) | −43.1080 | − | 73.0786i | −1.92018 | − | 3.25518i | ||||
\(505\) | 4.34550 | + | 5.14610i | 0.193372 | + | 0.228999i | ||||
\(506\) | 21.8555 | + | 34.7829i | 0.971597 | + | 1.54629i | ||||
\(507\) | 34.6847 | + | 2.92562i | 1.54040 | + | 0.129932i | ||||
\(508\) | −0.844109 | − | 1.18966i | −0.0374513 | − | 0.0527827i | ||||
\(509\) | − | 16.2241i | − | 0.719121i | −0.933122 | − | 0.359560i | \(-0.882927\pi\) | ||
0.933122 | − | 0.359560i | \(-0.117073\pi\) | |||||||
\(510\) | −9.38040 | + | 12.3665i | −0.415371 | + | 0.547598i | ||||
\(511\) | −9.26789 | − | 40.6053i | −0.409987 | − | 1.79627i | ||||
\(512\) | 28.6706 | + | 15.8457i | 1.26707 | + | 0.700286i | ||||
\(513\) | 4.43911 | + | 2.61856i | 0.195991 | + | 0.115612i | ||||
\(514\) | 33.0759 | − | 11.5738i | 1.45892 | − | 0.510497i | ||||
\(515\) | 2.56310 | + | 0.509832i | 0.112944 | + | 0.0224659i | ||||
\(516\) | −18.3958 | − | 67.0170i | −0.809831 | − | 2.95026i | ||||
\(517\) | 2.54996 | + | 12.8195i | 0.112147 | + | 0.563802i | ||||
\(518\) | 52.6083 | − | 47.0137i | 2.31148 | − | 2.06566i | ||||
\(519\) | 38.3135 | − | 2.15164i | 1.68178 | − | 0.0944466i | ||||
\(520\) | 1.10957 | + | 0.936947i | 0.0486578 | + | 0.0410879i | ||||
\(521\) | 7.85556 | + | 2.99863i | 0.344159 | + | 0.131372i | 0.522599 | − | 0.852578i | \(-0.324962\pi\) |
−0.178441 | + | 0.983951i | \(0.557105\pi\) | |||||||
\(522\) | −66.9693 | − | 13.3210i | −2.93117 | − | 0.583046i | ||||
\(523\) | 8.57447 | − | 8.57447i | 0.374935 | − | 0.374935i | −0.494336 | − | 0.869271i | \(-0.664589\pi\) |
0.869271 | + | 0.494336i | \(0.164589\pi\) | |||||||
\(524\) | 24.4561 | − | 25.8680i | 1.06837 | − | 1.13005i | ||||
\(525\) | −14.7678 | + | 51.2600i | −0.644518 | + | 2.23717i | ||||
\(526\) | 70.7760 | + | 16.1542i | 3.08598 | + | 0.704355i | ||||
\(527\) | −1.80442 | − | 34.4644i | −0.0786016 | − | 1.50129i | ||||
\(528\) | −10.6042 | + | 22.0199i | −0.461489 | + | 0.958292i | ||||
\(529\) | −11.1457 | + | 7.90832i | −0.484597 | + | 0.343840i | ||||
\(530\) | −2.64327 | − | 18.7231i | −0.114816 | − | 0.813282i | ||||
\(531\) | 12.9067 | + | 1.45424i | 0.560105 | + | 0.0631087i | ||||
\(532\) | 17.8098 | + | 7.96937i | 0.772153 | + | 0.345516i | ||||
\(533\) | 1.66632 | + | 1.76252i | 0.0721762 | + | 0.0763433i | ||||
\(534\) | 51.1067 | − | 38.4618i | 2.21160 | − | 1.66440i | ||||
\(535\) | 3.82149 | − | 1.10095i | 0.165218 | − | 0.0475984i | ||||
\(536\) | 16.4730 | − | 9.10432i | 0.711526 | − | 0.393247i | ||||
\(537\) | −2.70317 | + | 2.03435i | −0.116650 | + | 0.0877885i | ||||
\(538\) | −3.49725 | + | 24.7722i | −0.150777 | + | 1.06800i | ||||
\(539\) | −21.9151 | + | 18.5056i | −0.943948 | + | 0.797093i | ||||
\(540\) | −1.03564 | + | 9.19160i | −0.0445670 | + | 0.395543i | ||||
\(541\) | −17.9390 | + | 30.4110i | −0.771256 | + | 1.30747i | 0.175166 | + | 0.984539i | \(0.443954\pi\) |
−0.946423 | + | 0.322930i | \(0.895332\pi\) | |||||||
\(542\) | 71.2377 | − | 12.1038i | 3.05992 | − | 0.519901i | ||||
\(543\) | 2.96754 | − | 13.0016i | 0.127349 | − | 0.557954i | ||||
\(544\) | −1.95194 | + | 5.05590i | −0.0836886 | + | 0.216770i | ||||
\(545\) | −1.92198 | + | 3.99103i | −0.0823285 | + | 0.170957i | ||||
\(546\) | −9.09840 | − | 12.8230i | −0.389375 | − | 0.548773i | ||||
\(547\) | −0.509448 | − | 3.60859i | −0.0217824 | − | 0.154292i | 0.976280 | − | 0.216512i | \(-0.0694679\pi\) |
−0.998063 | + | 0.0622193i | \(0.980182\pi\) | |||||||
\(548\) | 49.1627 | − | 5.53931i | 2.10013 | − | 0.236627i | ||||
\(549\) | 6.75016 | − | 15.0851i | 0.288090 | − | 0.643817i | ||||
\(550\) | 30.2453 | − | 9.64004i | 1.28966 | − | 0.411053i | ||||
\(551\) | 6.90513 | − | 3.08985i | 0.294168 | − | 0.131632i | ||||
\(552\) | −69.1412 | − | 28.6392i | −2.94285 | − | 1.21897i | ||||
\(553\) | −26.0462 | − | 10.7887i | −1.10760 | − | 0.458782i | ||||
\(554\) | 29.9224 | + | 66.8699i | 1.27128 | + | 2.84103i | ||||
\(555\) | −10.8807 | + | 0.917773i | −0.461859 | + | 0.0389573i | ||||
\(556\) | −29.4289 | + | 7.59126i | −1.24806 | + | 0.321941i | ||||
\(557\) | −14.3519 | − | 41.0153i | −0.608108 | − | 1.73787i | −0.672652 | − | 0.739959i | \(-0.734845\pi\) |
0.0645438 | − | 0.997915i | \(-0.479441\pi\) | |||||||
\(558\) | −51.1168 | − | 76.5017i | −2.16395 | − | 3.23858i | ||||
\(559\) | −1.28831 | − | 3.50705i | −0.0544898 | − | 0.148332i | ||||
\(560\) | 7.46607i | 0.315499i | ||||||||
\(561\) | −30.1975 | − | 9.75109i | −1.27494 | − | 0.411692i | ||||
\(562\) | 12.4071 | + | 25.7635i | 0.523360 | + | 1.08677i | ||||
\(563\) | 16.0208 | − | 28.9875i | 0.675198 | − | 1.22168i | −0.289212 | − | 0.957265i | \(-0.593393\pi\) |
0.964410 | − | 0.264413i | \(-0.0851782\pi\) | |||||||
\(564\) | −35.9160 | − | 33.9556i | −1.51234 | − | 1.42979i | ||||
\(565\) | 5.74555 | − | 5.74555i | 0.241717 | − | 0.241717i | ||||
\(566\) | −0.104888 | − | 0.0208635i | −0.00440876 | − | 0.000876957i | ||||
\(567\) | −2.96349 | + | 7.76352i | −0.124455 | + | 0.326037i | ||||
\(568\) | 42.4245 | + | 21.9170i | 1.78009 | + | 0.919617i | ||||
\(569\) | 12.8158 | − | 18.0621i | 0.537265 | − | 0.757204i | −0.453725 | − | 0.891142i | \(-0.649905\pi\) |
0.990990 | + | 0.133938i | \(0.0427623\pi\) | |||||||
\(570\) | −2.21765 | − | 4.01253i | −0.0928871 | − | 0.168067i | ||||
\(571\) | 3.40817 | − | 13.2124i | 0.142628 | − | 0.552922i | −0.856685 | − | 0.515840i | \(-0.827480\pi\) |
0.999312 | − | 0.0370811i | \(-0.0118060\pi\) | |||||||
\(572\) | −2.19775 | + | 5.75748i | −0.0918924 | + | 0.240732i | ||||
\(573\) | 41.9446 | + | 31.5666i | 1.75226 | + | 1.31871i | ||||
\(574\) | −4.78970 | + | 42.5097i | −0.199918 | + | 1.77432i | ||||
\(575\) | 10.1046 | + | 26.4712i | 0.421391 | + | 1.10393i | ||||
\(576\) | 7.25130 | + | 42.6781i | 0.302138 | + | 1.77825i | ||||
\(577\) | −27.5917 | + | 13.2875i | −1.14866 | + | 0.553165i | −0.908630 | − | 0.417601i | \(-0.862871\pi\) |
−0.240028 | + | 0.970766i | \(0.577157\pi\) | |||||||
\(578\) | 40.0478 | + | 9.46074i | 1.66577 | + | 0.393515i | ||||
\(579\) | −6.58202 | − | 5.24898i | −0.273539 | − | 0.218140i | ||||
\(580\) | 10.1235 | + | 9.04690i | 0.420355 | + | 0.375652i | ||||
\(581\) | −2.19443 | + | 3.72009i | −0.0910402 | + | 0.154335i | ||||
\(582\) | −0.423237 | − | 3.75633i | −0.0175437 | − | 0.155705i | ||||
\(583\) | 34.3452 | − | 17.7431i | 1.42243 | − | 0.734845i | ||||
\(584\) | 6.31190 | − | 44.7093i | 0.261188 | − | 1.85008i | ||||
\(585\) | −0.0410965 | + | 1.46474i | −0.00169913 | + | 0.0605594i | ||||
\(586\) | −21.9062 | − | 15.5433i | −0.904937 | − | 0.642087i | ||||
\(587\) | 2.77310 | + | 9.62566i | 0.114458 | + | 0.397293i | 0.997390 | − | 0.0722088i | \(-0.0230048\pi\) |
−0.882931 | + | 0.469502i | \(0.844433\pi\) | |||||||
\(588\) | 27.0918 | − | 105.026i | 1.11725 | − | 4.33121i | ||||
\(589\) | 9.52334 | + | 3.63525i | 0.392403 | + | 0.149788i | ||||
\(590\) | −3.13288 | − | 2.35773i | −0.128979 | − | 0.0970664i | ||||
\(591\) | 6.42621 | + | 57.0342i | 0.264339 | + | 2.34607i | ||||
\(592\) | 20.8299 | − | 7.95118i | 0.856103 | − | 0.326792i | ||||
\(593\) | 3.23294 | + | 0.931394i | 0.132761 | + | 0.0382478i | 0.342555 | − | 0.939498i | \(-0.388708\pi\) |
−0.209794 | + | 0.977746i | \(0.567279\pi\) | |||||||
\(594\) | −27.9905 | + | 6.38865i | −1.14846 | + | 0.262130i | ||||
\(595\) | −9.60373 | + | 1.31870i | −0.393714 | + | 0.0540614i | ||||
\(596\) | 11.4244i | 0.467960i | ||||||||
\(597\) | −55.8185 | + | 39.6053i | −2.28450 | + | 1.62094i | ||||
\(598\) | −7.95687 | − | 2.53608i | −0.325380 | − | 0.103708i | ||||
\(599\) | −0.638063 | + | 1.82348i | −0.0260706 | + | 0.0745054i | −0.956183 | − | 0.292769i | \(-0.905423\pi\) |
0.930113 | + | 0.367274i | \(0.119709\pi\) | |||||||
\(600\) | −34.7752 | + | 46.2081i | −1.41969 | + | 1.88644i | ||||
\(601\) | −4.69507 | − | 3.13714i | −0.191516 | − | 0.127967i | 0.456116 | − | 0.889921i | \(-0.349240\pi\) |
−0.647631 | + | 0.761954i | \(0.724240\pi\) | |||||||
\(602\) | 32.5991 | − | 57.2668i | 1.32864 | − | 2.33402i | ||||
\(603\) | 17.5453 | + | 7.26749i | 0.714499 | + | 0.295955i | ||||
\(604\) | −9.52224 | − | 10.6554i | −0.387454 | − | 0.433562i | ||||
\(605\) | 1.07110 | + | 1.42324i | 0.0435463 | + | 0.0578628i | ||||
\(606\) | −6.64463 | − | 78.7754i | −0.269919 | − | 3.20003i | ||||
\(607\) | 48.0185 | − | 1.34727i | 1.94901 | − | 0.0546840i | 0.968260 | − | 0.249946i | \(-0.0804129\pi\) |
0.980751 | + | 0.195262i | \(0.0625558\pi\) | |||||||
\(608\) | −1.13192 | − | 1.13192i | −0.0459053 | − | 0.0459053i | ||||
\(609\) | −39.3434 | − | 58.8816i | −1.59428 | − | 2.38600i | ||||
\(610\) | −4.06886 | + | 2.88701i | −0.164743 | + | 0.116892i | ||||
\(611\) | −2.07749 | − | 1.65674i | −0.0840463 | − | 0.0670247i | ||||
\(612\) | 68.9295 | − | 21.6823i | 2.78631 | − | 0.876453i | ||||
\(613\) | −21.1031 | + | 26.4624i | −0.852345 | + | 1.06881i | 0.144505 | + | 0.989504i | \(0.453841\pi\) |
−0.996851 | + | 0.0793029i | \(0.974731\pi\) | |||||||
\(614\) | 64.1725 | + | 3.60385i | 2.58979 | + | 0.145440i | ||||
\(615\) | 4.54835 | − | 4.81094i | 0.183407 | − | 0.193996i | ||||
\(616\) | −49.4258 | + | 17.2948i | −1.99142 | + | 0.696829i | ||||
\(617\) | 4.94388 | − | 2.55407i | 0.199033 | − | 0.102823i | −0.356577 | − | 0.934266i | \(-0.616056\pi\) |
0.555610 | + | 0.831443i | \(0.312485\pi\) | |||||||
\(618\) | −21.0723 | − | 22.2889i | −0.847654 | − | 0.896592i | ||||
\(619\) | −6.93032 | − | 0.194446i | −0.278553 | − | 0.00781544i | −0.111504 | − | 0.993764i | \(-0.535567\pi\) |
−0.167049 | + | 0.985949i | \(0.553424\pi\) | |||||||
\(620\) | 1.02579 | + | 18.2658i | 0.0411965 | + | 0.733572i | ||||
\(621\) | −7.09422 | − | 24.6246i | −0.284681 | − | 0.988150i | ||||
\(622\) | 23.1357 | + | 11.9522i | 0.927656 | + | 0.479238i | ||||
\(623\) | 39.5547 | + | 5.58419i | 1.58472 | + | 0.223726i | ||||
\(624\) | −1.24104 | − | 4.81110i | −0.0496812 | − | 0.192598i | ||||
\(625\) | 20.1642 | − | 2.27196i | 0.806570 | − | 0.0908786i | ||||
\(626\) | −71.0625 | − | 22.6496i | −2.84023 | − | 0.905262i | ||||
\(627\) | 6.24555 | − | 6.98877i | 0.249423 | − | 0.279105i | ||||
\(628\) | 19.4301 | − | 85.1288i | 0.775345 | − | 3.39701i | ||||
\(629\) | 13.9068 | + | 25.3894i | 0.554502 | + | 1.01234i | ||||
\(630\) | −20.2054 | + | 16.1133i | −0.805004 | + | 0.641970i | ||||
\(631\) | 28.1434 | + | 1.58050i | 1.12037 | + | 0.0629187i | 0.606599 | − | 0.795008i | \(-0.292533\pi\) |
0.513772 | + | 0.857927i | \(0.328248\pi\) | |||||||
\(632\) | −22.2093 | − | 20.9970i | −0.883437 | − | 0.835216i | ||||
\(633\) | −49.3596 | + | 17.2717i | −1.96187 | + | 0.686487i | ||||
\(634\) | −55.1548 | + | 46.5740i | −2.19048 | + | 1.84969i | ||||
\(635\) | −0.155548 | + | 0.147058i | −0.00617273 | + | 0.00583580i | ||||
\(636\) | −67.0947 | + | 129.874i | −2.66048 | + | 5.14986i | ||||
\(637\) | 0.976758 | − | 5.74879i | 0.0387006 | − | 0.227775i | ||||
\(638\) | −16.1268 | + | 38.9335i | −0.638465 | + | 1.54139i | ||||
\(639\) | 9.39966 | + | 47.2553i | 0.371845 | + | 1.86939i | ||||
\(640\) | 4.12950 | − | 10.8181i | 0.163233 | − | 0.427624i | ||||
\(641\) | 19.6431 | − | 10.1478i | 0.775854 | − | 0.400816i | −0.0249907 | − | 0.999688i | \(-0.507956\pi\) |
0.800845 | + | 0.598872i | \(0.204384\pi\) | |||||||
\(642\) | −44.0587 | − | 15.4168i | −1.73886 | − | 0.608453i | ||||
\(643\) | 0.116991 | − | 0.0165164i | 0.00461368 | − | 0.000651344i | −0.137483 | − | 0.990504i | \(-0.543901\pi\) |
0.142097 | + | 0.989853i | \(0.454616\pi\) | |||||||
\(644\) | −37.1261 | − | 89.6303i | −1.46297 | − | 3.53193i | ||||
\(645\) | −9.36054 | + | 4.04777i | −0.368571 | + | 0.159381i | ||||
\(646\) | −7.34541 | + | 9.68370i | −0.289001 | + | 0.381000i | ||||
\(647\) | −12.2091 | + | 25.3525i | −0.479990 | + | 0.996709i | 0.510597 | + | 0.859820i | \(0.329425\pi\) |
−0.990586 | + | 0.136889i | \(0.956290\pi\) | |||||||
\(648\) | −6.00302 | + | 6.71738i | −0.235821 | + | 0.263884i | ||||
\(649\) | 2.43430 | − | 7.63752i | 0.0955544 | − | 0.299799i | ||||
\(650\) | −3.43347 | + | 5.46434i | −0.134672 | + | 0.214329i | ||||
\(651\) | 18.6162 | − | 93.5901i | 0.729627 | − | 3.66808i | ||||
\(652\) | −59.6648 | − | 39.8668i | −2.33665 | − | 1.56130i | ||||
\(653\) | 11.7587 | + | 26.2780i | 0.460152 | + | 1.02834i | 0.984266 | + | 0.176690i | \(0.0565391\pi\) |
−0.524115 | + | 0.851648i | \(0.675604\pi\) | |||||||
\(654\) | 45.5051 | − | 25.1498i | 1.77939 | − | 0.983434i | ||||
\(655\) | −4.26044 | − | 3.02294i | −0.166469 | − | 0.118116i | ||||
\(656\) | −6.20474 | + | 12.0104i | −0.242254 | + | 0.468929i | ||||
\(657\) | 39.2405 | − | 23.1474i | 1.53092 | − | 0.903065i | ||||
\(658\) | −1.31440 | − | 46.8468i | −0.0512405 | − | 1.82628i | ||||
\(659\) | −13.7865 | − | 39.3996i | −0.537047 | − | 1.53479i | −0.818086 | − | 0.575096i | \(-0.804965\pi\) |
0.281039 | − | 0.959696i | \(-0.409321\pi\) | |||||||
\(660\) | 16.0272 | + | 5.10831i | 0.623856 | + | 0.198841i | ||||
\(661\) | 7.29633 | + | 42.9431i | 0.283794 | + | 1.67029i | 0.665798 | + | 0.746132i | \(0.268091\pi\) |
−0.382003 | + | 0.924161i | \(0.624766\pi\) | |||||||
\(662\) | −60.3904 | − | 13.7837i | −2.34714 | − | 0.535719i | ||||
\(663\) | 5.96940 | − | 2.44613i | 0.231832 | − | 0.0949999i | ||||
\(664\) | −3.66083 | + | 2.91941i | −0.142068 | + | 0.113295i | ||||
\(665\) | 0.792646 | − | 2.75133i | 0.0307375 | − | 0.106692i | ||||
\(666\) | 66.4735 | + | 39.2117i | 2.57579 | + | 1.51942i | ||||
\(667\) | −35.5034 | − | 12.4232i | −1.37470 | − | 0.481028i | ||||
\(668\) | −11.9582 | − | 14.1613i | −0.462676 | − | 0.547918i | ||||
\(669\) | 44.0253 | − | 3.71349i | 1.70212 | − | 0.143572i | ||||
\(670\) | −3.44734 | − | 4.58071i | −0.133182 | − | 0.176968i | ||||
\(671\) | −8.31847 | − | 5.90227i | −0.321131 | − | 0.227855i | ||||
\(672\) | −8.67143 | + | 12.2212i | −0.334508 | + | 0.471445i | ||||
\(673\) | −8.94066 | + | 10.5879i | −0.344637 | + | 0.408133i | −0.908600 | − | 0.417668i | \(-0.862848\pi\) |
0.563963 | + | 0.825800i | \(0.309276\pi\) | |||||||
\(674\) | −4.13510 | + | 2.43923i | −0.159278 | + | 0.0939556i | ||||
\(675\) | −19.7950 | + | 0.555394i | −0.761910 | + | 0.0213771i | ||||
\(676\) | 16.1566 | + | 46.1729i | 0.621407 | + | 1.77588i | ||||
\(677\) | −34.7606 | − | 2.93202i | −1.33596 | − | 0.112687i | −0.605611 | − | 0.795761i | \(-0.707071\pi\) |
−0.730349 | + | 0.683074i | \(0.760643\pi\) | |||||||
\(678\) | −94.0227 | + | 15.9751i | −3.61092 | + | 0.613520i | ||||
\(679\) | 1.47194 | − | 1.84576i | 0.0564879 | − | 0.0708336i | ||||
\(680\) | −10.2368 | − | 2.37734i | −0.392562 | − | 0.0911670i | ||||
\(681\) | 8.62702 | 0.330588 | ||||||||
\(682\) | −52.4621 | + | 21.7305i | −2.00888 | + | 0.832105i | ||||
\(683\) | −0.558401 | + | 0.590640i | −0.0213666 | + | 0.0226002i | −0.737256 | − | 0.675614i | \(-0.763879\pi\) |
0.715889 | + | 0.698214i | \(0.246022\pi\) | |||||||
\(684\) | −2.38966 | + | 21.2088i | −0.0913708 | + | 0.810938i | ||||
\(685\) | −1.81340 | − | 7.02996i | −0.0692863 | − | 0.268601i | ||||
\(686\) | 27.9943 | − | 16.5134i | 1.06883 | − | 0.630486i | ||||
\(687\) | −1.72031 | + | 0.342192i | −0.0656340 | + | 0.0130554i | ||||
\(688\) | 16.0780 | − | 13.2332i | 0.612968 | − | 0.504511i | ||||
\(689\) | −3.00748 | + | 7.26070i | −0.114576 | + | 0.276610i | ||||
\(690\) | −5.69376 | + | 22.0729i | −0.216758 | + | 0.840301i | ||||
\(691\) | −0.964203 | + | 6.82977i | −0.0366800 | + | 0.259817i | −0.999962 | − | 0.00867369i | \(-0.997239\pi\) |
0.963282 | + | 0.268490i | \(0.0865248\pi\) | |||||||
\(692\) | 24.7527 | + | 47.9134i | 0.940955 | + | 1.82140i | ||||
\(693\) | −44.7371 | − | 28.1102i | −1.69942 | − | 1.06782i | ||||
\(694\) | −8.60591 | + | 5.75029i | −0.326676 | + | 0.218278i | ||||
\(695\) | 1.70674 | + | 4.12044i | 0.0647405 | + | 0.156297i | ||||
\(696\) | −17.0835 | − | 74.8477i | −0.647549 | − | 2.83710i | ||||
\(697\) | −16.5451 | − | 5.85991i | −0.626692 | − | 0.221960i | ||||
\(698\) | −9.08903 | + | 39.8217i | −0.344025 | + | 1.50727i | ||||
\(699\) | 60.5476 | + | 17.4435i | 2.29012 | + | 0.659772i | ||||
\(700\) | −74.2331 | + | 10.4800i | −2.80575 | + | 0.396106i | ||||
\(701\) | −2.17175 | − | 1.36460i | −0.0820257 | − | 0.0515402i | 0.490395 | − | 0.871500i | \(-0.336853\pi\) |
−0.572420 | + | 0.819960i | \(0.693995\pi\) | |||||||
\(702\) | 3.50970 | − | 4.66358i | 0.132465 | − | 0.176015i | ||||
\(703\) | −8.52021 | + | 0.718671i | −0.321346 | + | 0.0271052i | ||||
\(704\) | 26.7067 | + | 0.749317i | 1.00655 | + | 0.0282410i | ||||
\(705\) | −4.19715 | + | 5.91532i | −0.158074 | + | 0.222784i | ||||
\(706\) | 27.8964 | − | 1.56663i | 1.04989 | − | 0.0589608i | ||||
\(707\) | 31.8539 | − | 37.7227i | 1.19799 | − | 1.41871i | ||||
\(708\) | 9.20516 | + | 28.8809i | 0.345951 | + | 1.08541i | ||||
\(709\) | 1.56079 | − | 0.402610i | 0.0586167 | − | 0.0151203i | −0.220354 | − | 0.975420i | \(-0.570721\pi\) |
0.278970 | + | 0.960300i | \(0.410007\pi\) | |||||||
\(710\) | 4.80389 | − | 13.7287i | 0.180287 | − | 0.515230i | ||||
\(711\) | 2.59199 | − | 30.7294i | 0.0972073 | − | 1.15244i | ||||
\(712\) | 37.9031 | + | 20.9483i | 1.42048 | + | 0.785072i | ||||
\(713\) | −21.9912 | − | 45.6651i | −0.823575 | − | 1.71017i | ||||
\(714\) | 100.888 | + | 52.6054i | 3.77563 | + | 1.96871i | ||||
\(715\) | 0.881675 | + | 0.201237i | 0.0329728 | + | 0.00752582i | ||||
\(716\) | −4.16131 | − | 2.29988i | −0.155516 | − | 0.0859504i | ||||
\(717\) | −5.78661 | + | 0.816933i | −0.216105 | + | 0.0305089i | ||||
\(718\) | 8.37508 | − | 13.3289i | 0.312555 | − | 0.497429i | ||||
\(719\) | 19.0180 | − | 25.2705i | 0.709251 | − | 0.942430i | −0.290645 | − | 0.956831i | \(-0.593870\pi\) |
0.999896 | + | 0.0144013i | \(0.00458424\pi\) | |||||||
\(720\) | −7.78119 | + | 2.48009i | −0.289988 | + | 0.0924274i | ||||
\(721\) | 0.537267 | − | 19.1489i | 0.0200089 | − | 0.713144i | ||||
\(722\) | 20.5103 | + | 37.1107i | 0.763316 | + | 1.38112i | ||||
\(723\) | 27.6399 | + | 4.69621i | 1.02794 | + | 0.174654i | ||||
\(724\) | 18.3819 | − | 3.65638i | 0.683157 | − | 0.135888i | ||||
\(725\) | −16.1486 | + | 24.1681i | −0.599744 | + | 0.897580i | ||||
\(726\) | −0.586362 | − | 20.8987i | −0.0217619 | − | 0.775625i | ||||
\(727\) | −10.3534 | − | 1.16655i | −0.383986 | − | 0.0432649i | −0.0821384 | − | 0.996621i | \(-0.526175\pi\) |
−0.301848 | + | 0.953356i | \(0.597604\pi\) | |||||||
\(728\) | 5.40868 | − | 9.16905i | 0.200459 | − | 0.339828i | ||||
\(729\) | −43.8856 | − | 2.46456i | −1.62539 | − | 0.0912801i | ||||
\(730\) | −13.7534 | −0.509035 | ||||||||
\(731\) | 19.8619 | + | 18.3441i | 0.734618 | + | 0.678481i | ||||
\(732\) | 38.5696 | 1.42557 | ||||||||
\(733\) | 41.9942 | + | 2.35834i | 1.55109 | + | 0.0871074i | 0.810858 | − | 0.585242i | \(-0.199001\pi\) |
0.740233 | + | 0.672350i | \(0.234715\pi\) | |||||||
\(734\) | 21.5048 | − | 36.4559i | 0.793757 | − | 1.34561i | ||||
\(735\) | −15.8166 | − | 1.78210i | −0.583404 | − | 0.0657338i | ||||
\(736\) | 0.223230 | + | 7.95622i | 0.00822837 | + | 0.293270i | ||||
\(737\) | 6.51163 | − | 9.74534i | 0.239859 | − | 0.358974i | ||||
\(738\) | −45.8950 | + | 9.12909i | −1.68942 | + | 0.336046i | ||||
\(739\) | −6.62437 | − | 1.12553i | −0.243681 | − | 0.0414031i | 0.0443814 | − | 0.999015i | \(-0.485868\pi\) |
−0.288063 | + | 0.957612i | \(0.593011\pi\) | |||||||
\(740\) | −7.42298 | − | 13.4309i | −0.272874 | − | 0.493729i | ||||
\(741\) | −0.0534409 | + | 1.90470i | −0.00196320 | + | 0.0699711i | ||||
\(742\) | −132.062 | + | 42.0920i | −4.84815 | + | 1.54525i | ||||
\(743\) | 0.0293080 | − | 0.0389435i | 0.00107521 | − | 0.00142870i | −0.798473 | − | 0.602031i | \(-0.794358\pi\) |
0.799548 | + | 0.600603i | \(0.205073\pi\) | |||||||
\(744\) | 55.0385 | − | 87.5933i | 2.01781 | − | 3.21133i | ||||
\(745\) | 1.66002 | − | 0.234356i | 0.0608184 | − | 0.00858613i | ||||
\(746\) | −38.1196 | − | 21.0680i | −1.39566 | − | 0.771353i | ||||
\(747\) | −4.60605 | − | 1.05130i | −0.168527 | − | 0.0384651i | ||||
\(748\) | −4.82514 | − | 44.3346i | −0.176425 | − | 1.62103i | ||||
\(749\) | −12.6487 | − | 26.2652i | −0.462172 | − | 0.959710i | ||||
\(750\) | 31.8915 | + | 17.6258i | 1.16451 | + | 0.643604i | ||||
\(751\) | −2.35469 | + | 27.9160i | −0.0859237 | + | 1.01867i | 0.813492 | + | 0.581576i | \(0.197564\pi\) |
−0.899416 | + | 0.437094i | \(0.856008\pi\) | |||||||
\(752\) | 4.89139 | − | 13.9788i | 0.178371 | − | 0.509754i | ||||
\(753\) | −16.5638 | + | 4.27268i | −0.603619 | + | 0.155705i | ||||
\(754\) | −2.60164 | − | 8.16256i | −0.0947462 | − | 0.297263i | ||||
\(755\) | −1.35295 | + | 1.60221i | −0.0492387 | + | 0.0583104i | ||||
\(756\) | 67.6972 | − | 3.80179i | 2.46212 | − | 0.138270i | ||||
\(757\) | −0.289367 | + | 0.407825i | −0.0105172 | + | 0.0148226i | −0.820786 | − | 0.571236i | \(-0.806464\pi\) |
0.810269 | + | 0.586059i | \(0.199321\pi\) | |||||||
\(758\) | 10.3494 | + | 0.290376i | 0.375907 | + | 0.0105469i | ||||
\(759\) | −46.4386 | + | 3.91705i | −1.68561 | + | 0.142180i | ||||
\(760\) | 1.86653 | − | 2.48018i | 0.0677060 | − | 0.0899655i | ||||
\(761\) | 15.7563 | + | 9.90031i | 0.571164 | + | 0.358886i | 0.786439 | − | 0.617667i | \(-0.211922\pi\) |
−0.215276 | + | 0.976553i | \(0.569065\pi\) | |||||||
\(762\) | 2.48779 | − | 0.351218i | 0.0901231 | − | 0.0127233i | ||||
\(763\) | 31.2022 | + | 8.98919i | 1.12959 | + | 0.325431i | ||||
\(764\) | −16.4167 | + | 71.9261i | −0.593934 | + | 2.60220i | ||||
\(765\) | −4.56454 | − | 9.57103i | −0.165031 | − | 0.346041i | ||||
\(766\) | 8.13300 | + | 35.6330i | 0.293857 | + | 1.28747i | ||||
\(767\) | 0.623634 | + | 1.50558i | 0.0225181 | + | 0.0543635i | ||||
\(768\) | −69.4733 | + | 46.4206i | −2.50690 | + | 1.67506i | ||||
\(769\) | 28.2573 | + | 17.7552i | 1.01898 | + | 0.640269i | 0.934429 | − | 0.356150i | \(-0.115911\pi\) |
0.0845537 | + | 0.996419i | \(0.473054\pi\) | |||||||
\(770\) | 7.32077 | + | 14.1707i | 0.263822 | + | 0.510677i | ||||
\(771\) | −5.55732 | + | 39.3643i | −0.200142 | + | 1.41767i | ||||
\(772\) | 2.95521 | − | 11.4564i | 0.106360 | − | 0.412325i | ||||
\(773\) | −8.57775 | + | 20.7085i | −0.308520 | + | 0.744834i | 0.691233 | + | 0.722632i | \(0.257068\pi\) |
−0.999754 | + | 0.0222022i | \(0.992932\pi\) | |||||||
\(774\) | 70.5127 | + | 14.9520i | 2.53453 | + | 0.537440i | ||||
\(775\) | −38.4143 | + | 7.64107i | −1.37988 | + | 0.274475i | ||||
\(776\) | 2.20442 | − | 1.30036i | 0.0791341 | − | 0.0466800i | ||||
\(777\) | 19.9926 | + | 77.5051i | 0.717232 | + | 2.78048i | ||||
\(778\) | −5.79635 | + | 51.4440i | −0.207809 | + | 1.84436i | ||||
\(779\) | 3.56163 | − | 3.76726i | 0.127609 | − | 0.134976i | ||||
\(780\) | −3.15944 | + | 1.30868i | −0.113126 | + | 0.0468583i | ||||
\(781\) | 29.7360 | 1.06404 | ||||||||
\(782\) | 59.6180 | − | 9.89708i | 2.13194 | − | 0.353919i | ||||
\(783\) | 16.3907 | − | 20.5532i | 0.585754 | − | 0.734513i | ||||
\(784\) | 32.0407 | − | 5.44393i | 1.14431 | − | 0.194426i | ||||
\(785\) | −12.7682 | − | 1.07699i | −0.455717 | − | 0.0384393i | ||||
\(786\) | 20.2509 | + | 57.8739i | 0.722327 | + | 2.06429i | ||||
\(787\) | 23.4383 | − | 0.657614i | 0.835483 | − | 0.0234414i | 0.392262 | − | 0.919854i | \(-0.371693\pi\) |
0.443221 | + | 0.896412i | \(0.353836\pi\) | |||||||
\(788\) | −69.4746 | + | 40.9820i | −2.47493 | + | 1.45992i | ||||
\(789\) | −53.1354 | + | 62.9250i | −1.89167 | + | 2.24019i | ||||
\(790\) | −5.38717 | + | 7.59250i | −0.191667 | + | 0.270129i | ||||
\(791\) | −48.5766 | − | 34.4669i | −1.72718 | − | 1.22550i | ||||
\(792\) | −34.4431 | − | 45.7669i | −1.22388 | − | 1.62626i | ||||
\(793\) | 2.06622 | − | 0.174283i | 0.0733735 | − | 0.00618898i | ||||
\(794\) | −46.0896 | − | 54.5810i | −1.63566 | − | 1.93701i | ||||
\(795\) | 20.2478 | + | 7.08500i | 0.718115 | + | 0.251279i | ||||
\(796\) | −82.8463 | − | 48.8698i | −2.93641 | − | 1.73214i | ||||
\(797\) | −8.92453 | + | 30.9777i | −0.316123 | + | 1.09729i | 0.630832 | + | 0.775920i | \(0.282714\pi\) |
−0.946955 | + | 0.321367i | \(0.895858\pi\) | |||||||
\(798\) | −26.2746 | + | 20.9533i | −0.930112 | + | 0.741740i | ||||
\(799\) | 18.8451 | + | 3.82286i | 0.666692 | + | 0.135243i | ||||
\(800\) | 5.99645 | + | 1.36865i | 0.212006 | + | 0.0483891i | ||||
\(801\) | 7.31944 | + | 43.0791i | 0.258620 | + | 1.52213i | ||||
\(802\) | −45.4369 | − | 14.4820i | −1.60443 | − | 0.511378i | ||||
\(803\) | −9.28668 | − | 26.5398i | −0.327720 | − | 0.936569i | ||||
\(804\) | 1.24304 | + | 44.3035i | 0.0438385 | + | 1.56246i | ||||
\(805\) | −12.2621 | + | 7.23325i | −0.432183 | + | 0.254939i | ||||
\(806\) | 5.29852 | − | 10.2563i | 0.186632 | − | 0.361262i | ||||
\(807\) | −23.1473 | − | 16.4239i | −0.814824 | − | 0.578148i | ||||
\(808\) | 46.8468 | − | 25.8913i | 1.64806 | − | 0.910852i | ||||
\(809\) | 10.8081 | + | 24.1537i | 0.379992 | + | 0.849199i | 0.998011 | + | 0.0630360i | \(0.0200783\pi\) |
−0.618019 | + | 0.786163i | \(0.712065\pi\) | |||||||
\(810\) | 2.28161 | + | 1.52452i | 0.0801676 | + | 0.0535663i | ||||
\(811\) | −5.06195 | + | 25.4481i | −0.177749 | + | 0.893605i | 0.784228 | + | 0.620473i | \(0.213059\pi\) |
−0.961977 | + | 0.273132i | \(0.911941\pi\) | |||||||
\(812\) | 52.9494 | − | 84.2686i | 1.85816 | − | 2.95725i | ||||
\(813\) | −24.8941 | + | 78.1043i | −0.873073 | + | 2.73924i | ||||
\(814\) | 31.7390 | − | 35.5160i | 1.11245 | − | 1.24483i | ||||
\(815\) | −4.56890 | + | 9.48741i | −0.160041 | + | 0.332330i | ||||
\(816\) | 23.8568 | + | 26.9004i | 0.835156 | + | 0.941702i | ||||
\(817\) | −7.32986 | + | 3.16965i | −0.256439 | + | 0.110892i | ||||
\(818\) | −13.7936 | − | 33.3008i | −0.482283 | − | 1.16434i | ||||
\(819\) | 10.6358 | − | 1.50152i | 0.371644 | − | 0.0524674i | ||||
\(820\) | 8.78229 | + | 3.07306i | 0.306691 | + | 0.107316i | ||||
\(821\) | 36.4653 | − | 18.8384i | 1.27265 | − | 0.657465i | 0.316012 | − | 0.948755i | \(-0.397656\pi\) |
0.956635 | + | 0.291291i | \(0.0940846\pi\) | |||||||
\(822\) | −30.3889 | + | 79.6104i | −1.05993 | + | 2.77673i | ||||
\(823\) | 5.25296 | + | 26.4084i | 0.183107 | + | 0.920539i | 0.957632 | + | 0.287996i | \(0.0929889\pi\) |
−0.774525 | + | 0.632543i | \(0.782011\pi\) | |||||||
\(824\) | 7.94746 | − | 19.1869i | 0.276863 | − | 0.668406i | ||||
\(825\) | −6.03244 | + | 35.5044i | −0.210023 | + | 1.23610i | ||||
\(826\) | −13.1920 | + | 25.5356i | −0.459008 | + | 0.888497i | ||||
\(827\) | 26.9035 | − | 25.4351i | 0.935528 | − | 0.884464i | −0.0579695 | − | 0.998318i | \(-0.518463\pi\) |
0.993497 | + | 0.113854i | \(0.0363198\pi\) | |||||||
\(828\) | 81.0807 | − | 68.4665i | 2.81775 | − | 2.37938i | ||||
\(829\) | 44.6616 | − | 15.6278i | 1.55116 | − | 0.542775i | 0.587345 | − | 0.809337i | \(-0.300173\pi\) |
0.963818 | + | 0.266561i | \(0.0858875\pi\) | |||||||
\(830\) | 1.03639 | + | 0.979821i | 0.0359736 | + | 0.0340101i | ||||
\(831\) | −82.9801 | − | 4.66006i | −2.87855 | − | 0.161656i | ||||
\(832\) | −4.24651 | + | 3.38648i | −0.147221 | + | 0.117405i | ||||
\(833\) | 12.6618 | + | 40.2529i | 0.438706 | + | 1.39468i | ||||
\(834\) | 11.6484 | − | 51.0349i | 0.403350 | − | 1.76719i | ||||
\(835\) | −1.81241 | + | 2.02808i | −0.0627209 | + | 0.0701848i | ||||
\(836\) | 12.5502 | + | 4.00011i | 0.434058 | + | 0.138347i | ||||
\(837\) | 35.2006 | − | 3.96616i | 1.21671 | − | 0.137090i | ||||
\(838\) | −18.4504 | − | 71.5265i | −0.637360 | − | 2.47084i | ||||
\(839\) | −47.6562 | − | 6.72794i | −1.64528 | − | 0.232274i | −0.744833 | − | 0.667251i | \(-0.767471\pi\) |
−0.900442 | + | 0.434976i | \(0.856757\pi\) | |||||||
\(840\) | −25.8161 | − | 13.3369i | −0.890740 | − | 0.460167i | ||||
\(841\) | −2.65391 | − | 9.21191i | −0.0915140 | − | 0.317652i | ||||
\(842\) | −3.60028 | − | 64.1090i | −0.124074 | − | 2.20934i | ||||
\(843\) | −32.4279 | − | 0.909840i | −1.11688 | − | 0.0313365i | ||||
\(844\) | −50.4892 | − | 53.4042i | −1.73791 | − | 1.83825i | ||||
\(845\) | 6.37772 | − | 3.29481i | 0.219400 | − | 0.113345i | ||||
\(846\) | 48.3875 | − | 16.9315i | 1.66360 | − | 0.582118i | ||||
\(847\) | 8.97023 | − | 9.48812i | 0.308221 | − | 0.326016i | ||||
\(848\) | −43.7325 | − | 2.45596i | −1.50178 | − | 0.0843382i | ||||
\(849\) | 0.0756440 | − | 0.0948546i | 0.00259610 | − | 0.00325540i | ||||
\(850\) | 4.10165 | − | 46.5204i | 0.140685 | − | 1.59564i | ||||
\(851\) | 33.2392 | + | 26.5074i | 1.13943 | + | 0.908661i | ||||
\(852\) | −91.7058 | + | 65.0687i | −3.14179 | + | 2.22922i | ||||
\(853\) | −2.42392 | − | 3.62766i | −0.0829935 | − | 0.124209i | 0.787650 | − | 0.616123i | \(-0.211297\pi\) |
−0.870644 | + | 0.491914i | \(0.836297\pi\) | |||||||
\(854\) | 25.8598 | + | 25.8598i | 0.884904 | + | 0.884904i | ||||
\(855\) | 3.13076 | − | 0.0878407i | 0.107070 | − | 0.00300409i | ||||
\(856\) | −2.65634 | − | 31.4923i | −0.0907920 | − | 1.07638i | ||||
\(857\) | 3.74029 | + | 4.96998i | 0.127766 | + | 0.169771i | 0.858372 | − | 0.513028i | \(-0.171476\pi\) |
−0.730606 | + | 0.682800i | \(0.760762\pi\) | |||||||
\(858\) | −7.07298 | − | 7.91467i | −0.241468 | − | 0.270202i | ||||
\(859\) | 1.94494 | + | 0.805620i | 0.0663605 | + | 0.0274874i | 0.415617 | − | 0.909540i | \(-0.363566\pi\) |
−0.349256 | + | 0.937027i | \(0.613566\pi\) | |||||||
\(860\) | −10.5656 | − | 9.68420i | −0.360283 | − | 0.330228i | ||||
\(861\) | −40.3524 | − | 26.9626i | −1.37521 | − | 0.918883i | ||||
\(862\) | −2.13646 | + | 2.83886i | −0.0727682 | + | 0.0966920i | ||||
\(863\) | −16.4651 | + | 47.0544i | −0.560477 | + | 1.60175i | 0.219276 | + | 0.975663i | \(0.429631\pi\) |
−0.779752 | + | 0.626088i | \(0.784655\pi\) | |||||||
\(864\) | −5.30009 | − | 1.68929i | −0.180313 | − | 0.0574708i | ||||
\(865\) | 6.45430 | − | 4.57957i | 0.219453 | − | 0.155710i | ||||
\(866\) | 53.2979i | 1.81114i | ||||||||
\(867\) | −30.3887 | + | 35.4387i | −1.03205 | + | 1.20356i | ||||
\(868\) | 130.743 | − | 29.8413i | 4.43771 | − | 1.01288i | ||||
\(869\) | −18.2888 | − | 5.26891i | −0.620405 | − | 0.178736i | ||||
\(870\) | −21.8471 | + | 8.33949i | −0.740688 | + | 0.282735i | ||||
\(871\) | 0.266784 | + | 2.36777i | 0.00903962 | + | 0.0802288i | ||||
\(872\) | 28.1271 | + | 21.1678i | 0.952502 | + | 0.716832i | ||||
\(873\) | 2.41261 | + | 0.920942i | 0.0816545 | + | 0.0311692i | ||||
\(874\) | −4.45855 | + | 17.2844i | −0.150813 | + | 0.584653i | ||||
\(875\) | 6.29993 | + | 21.8675i | 0.212976 | + | 0.739258i | ||||
\(876\) | 86.7149 | + | 61.5275i | 2.92983 | + | 2.07882i | ||||
\(877\) | 0.544505 | − | 19.4069i | 0.0183866 | − | 0.655324i | −0.935185 | − | 0.354159i | \(-0.884767\pi\) |
0.953572 | − | 0.301165i | \(-0.0973756\pi\) | |||||||
\(878\) | 5.80545 | − | 41.1219i | 0.195924 | − | 1.38780i | ||||
\(879\) | 27.0730 | − | 13.9863i | 0.913150 | − | 0.471745i | ||||
\(880\) | 0.564341 | + | 5.00866i | 0.0190239 | + | 0.168842i | ||||
\(881\) | −4.97156 | + | 8.42802i | −0.167496 | + | 0.283947i | −0.933279 | − | 0.359152i | \(-0.883066\pi\) |
0.765783 | + | 0.643099i | \(0.222352\pi\) | |||||||
\(882\) | 83.8832 | + | 74.9626i | 2.82450 | + | 2.52412i | ||||
\(883\) | 28.2301 | + | 22.5128i | 0.950019 | + | 0.757615i | 0.970231 | − | 0.242181i | \(-0.0778627\pi\) |
−0.0202119 | + | 0.999796i | \(0.506434\pi\) | |||||||
\(884\) | 6.56442 | + | 6.25342i | 0.220785 | + | 0.210325i | ||||
\(885\) | 4.00770 | − | 1.93001i | 0.134718 | − | 0.0648765i | ||||
\(886\) | 3.99885 | + | 23.5356i | 0.134344 | + | 0.790693i | ||||
\(887\) | −0.712764 | − | 1.86724i | −0.0239323 | − | 0.0626959i | 0.921757 | − | 0.387769i | \(-0.126754\pi\) |
−0.945689 | + | 0.325073i | \(0.894611\pi\) | |||||||
\(888\) | −9.71565 | + | 86.2288i | −0.326036 | + | 2.89365i | ||||
\(889\) | 1.25374 | + | 0.943540i | 0.0420492 | + | 0.0316453i | ||||
\(890\) | 4.70424 | − | 12.3238i | 0.157687 | − | 0.413095i | ||||
\(891\) | −1.40126 | + | 5.43222i | −0.0469438 | + | 0.181986i | ||||
\(892\) | 30.0348 | + | 54.3440i | 1.00564 | + | 1.81957i | ||||
\(893\) | −3.28662 | + | 4.63205i | −0.109982 | + | 0.155006i | ||||
\(894\) | −17.4822 | − | 9.03150i | −0.584691 | − | 0.302059i | ||||
\(895\) | −0.248820 | + | 0.651839i | −0.00831713 | + | 0.0217886i | ||||
\(896\) | −83.2506 | − | 16.5596i | −2.78121 | − | 0.553217i | ||||
\(897\) | 6.69933 | − | 6.69933i | 0.223684 | − | 0.223684i | ||||
\(898\) | 24.3589 | + | 23.0293i | 0.812867 | + | 0.768498i | ||||
\(899\) | 25.1508 | − | 45.5070i | 0.838827 | − | 1.51774i | ||||
\(900\) | −35.5812 | − | 73.8850i | −1.18604 | − | 2.46283i | ||||
\(901\) | −4.56514 | − | 56.6876i | −0.152087 | − | 1.88854i | ||||
\(902\) | 28.8800i | 0.961599i | ||||||||
\(903\) | 40.7459 | + | 62.6763i | 1.35594 | + | 2.08574i | ||||
\(904\) | −35.8742 | − | 53.6895i | −1.19316 | − | 1.78569i | ||||
\(905\) | −0.908370 | − | 2.59597i | −0.0301953 | − | 0.0862931i | ||||
\(906\) | 23.8332 | − | 6.14784i | 0.791805 | − | 0.204248i | ||||
\(907\) | 21.7093 | − | 1.83116i | 0.720845 | − | 0.0608026i | 0.282063 | − | 0.959396i | \(-0.408981\pi\) |
0.438782 | + | 0.898593i | \(0.355410\pi\) | |||||||
\(908\) | 4.95204 | + | 11.0667i | 0.164339 | + | 0.367262i | ||||
\(909\) | 49.8961 | + | 20.6676i | 1.65495 | + | 0.685502i | ||||
\(910\) | −2.99574 | − | 1.24088i | −0.0993079 | − | 0.0411347i | ||||
\(911\) | 43.5293 | − | 19.4781i | 1.44219 | − | 0.645338i | 0.470672 | − | 0.882308i | \(-0.344012\pi\) |
0.971517 | + | 0.236970i | \(0.0761544\pi\) | |||||||
\(912\) | −10.1185 | + | 3.22504i | −0.335056 | + | 0.106792i | ||||
\(913\) | −1.19095 | + | 2.66152i | −0.0394148 | + | 0.0880835i | ||||
\(914\) | 75.4518 | − | 8.50138i | 2.49572 | − | 0.281201i | ||||
\(915\) | −0.791204 | − | 5.60436i | −0.0261564 | − | 0.185274i | ||||
\(916\) | −1.42645 | − | 2.01039i | −0.0471312 | − | 0.0664252i | ||||
\(917\) | −16.6148 | + | 34.5010i | −0.548669 | + | 1.13932i | ||||
\(918\) | −7.23284 | + | 41.6134i | −0.238719 | + | 1.37345i | ||||
\(919\) | 10.2564 | − | 44.9360i | 0.338326 | − | 1.48230i | −0.464224 | − | 0.885718i | \(-0.653667\pi\) |
0.802550 | − | 0.596585i | \(-0.203476\pi\) | |||||||
\(920\) | −15.2159 | + | 2.58529i | −0.501654 | + | 0.0852345i | ||||
\(921\) | −37.0472 | + | 62.8042i | −1.22075 | + | 2.06947i | ||||
\(922\) | 1.78618 | − | 15.8527i | 0.0588246 | − | 0.522082i | ||||
\(923\) | −4.61876 | + | 3.90019i | −0.152028 | + | 0.128376i | ||||
\(924\) | 17.2372 | − | 122.097i | 0.567063 | − | 4.01669i | ||||
\(925\) | 26.2503 | − | 19.7554i | 0.863103 | − | 0.649552i | ||||
\(926\) | −58.4165 | + | 32.2857i | −1.91968 | + | 1.06097i | ||||
\(927\) | 20.1356 | − | 5.80097i | 0.661341 | − | 0.190529i | ||||
\(928\) | −6.52401 | + | 4.90982i | −0.214161 | + | 0.161173i | ||||
\(929\) | −22.3527 | − | 23.6432i | −0.733368 | − | 0.775709i | 0.247811 | − | 0.968808i | \(-0.420289\pi\) |
−0.981179 | + | 0.193099i | \(0.938146\pi\) | |||||||
\(930\) | −28.7622 | − | 12.8703i | −0.943150 | − | 0.422033i | ||||
\(931\) | −12.3853 | − | 1.39549i | −0.405913 | − | 0.0457354i | ||||
\(932\) | 12.3788 | + | 87.6831i | 0.405481 | + | 2.87215i | ||||
\(933\) | −24.0936 | + | 17.0954i | −0.788790 | + | 0.559677i | ||||
\(934\) | −41.7448 | + | 86.6840i | −1.36593 | + | 2.83639i | ||||
\(935\) | −6.34305 | + | 1.61058i | −0.207440 | + | 0.0526716i | ||||
\(936\) | 11.3527 | + | 2.59118i | 0.371075 | + | 0.0846954i | ||||
\(937\) | 8.68966 | − | 30.1625i | 0.283879 | − | 0.985365i | −0.683061 | − | 0.730361i | \(-0.739352\pi\) |
0.966940 | − | 0.255004i | \(-0.0820768\pi\) | |||||||
\(938\) | −28.8708 | + | 30.5376i | −0.942665 | + | 0.997089i | ||||
\(939\) | 59.8315 | − | 59.8315i | 1.95253 | − | 1.95253i | ||||
\(940\) | −9.99739 | − | 1.98860i | −0.326079 | − | 0.0648611i | ||||
\(941\) | 52.2918 | + | 19.9608i | 1.70466 | + | 0.650704i | 0.998362 | − | 0.0572072i | \(-0.0182196\pi\) |
0.706301 | + | 0.707911i | \(0.250362\pi\) | |||||||
\(942\) | 114.908 | + | 97.0313i | 3.74391 | + | 3.16145i | ||||
\(943\) | −25.7370 | + | 1.44536i | −0.838112 | + | 0.0470673i | ||||
\(944\) | −6.77245 | + | 6.05223i | −0.220424 | + | 0.196983i | ||||
\(945\) | −1.94114 | − | 9.75875i | −0.0631452 | − | 0.317452i | ||||
\(946\) | 17.5407 | − | 40.8819i | 0.570297 | − | 1.32919i | ||||
\(947\) | −2.20274 | − | 0.438153i | −0.0715795 | − | 0.0142381i | 0.159171 | − | 0.987251i | \(-0.449118\pi\) |
−0.230750 | + | 0.973013i | \(0.574118\pi\) | |||||||
\(948\) | 67.9322 | − | 23.7705i | 2.20633 | − | 0.772030i | ||||
\(949\) | 4.92344 | + | 2.90426i | 0.159821 | + | 0.0942763i | ||||
\(950\) | 12.0727 | + | 6.67236i | 0.391691 | + | 0.216480i | ||||
\(951\) | −18.2236 | − | 79.8428i | −0.590941 | − | 2.58908i | ||||
\(952\) | −4.61104 | + | 76.8977i | −0.149445 | + | 2.49227i | ||||
\(953\) | − | 52.1013i | − | 1.68773i | −0.536557 | − | 0.843864i | \(-0.680276\pi\) | ||
0.536557 | − | 0.843864i | \(-0.319724\pi\) | |||||||
\(954\) | −87.7372 | − | 123.654i | −2.84060 | − | 4.00344i | ||||
\(955\) | 10.7880 | + | 0.909957i | 0.349091 | + | 0.0294455i | ||||
\(956\) | −4.36956 | − | 6.95412i | −0.141322 | − | 0.224912i | ||||
\(957\) | −30.8445 | − | 36.5273i | −0.997062 | − | 1.18076i | ||||
\(958\) | −13.6306 | − | 23.1071i | −0.440383 | − | 0.746558i | ||||
\(959\) | −48.5772 | + | 21.7369i | −1.56864 | + | 0.701921i | ||||
\(960\) | 9.87905 | + | 11.0547i | 0.318845 | + | 0.356788i | ||||
\(961\) | 37.5352 | − | 10.8137i | 1.21081 | − | 0.348829i | ||||
\(962\) | −0.271579 | + | 9.67945i | −0.00875606 | + | 0.312078i | ||||
\(963\) | 23.1721 | − | 21.9073i | 0.746712 | − | 0.705954i | ||||
\(964\) | 9.84144 | + | 38.1521i | 0.316971 | + | 1.22880i | ||||
\(965\) | −1.72529 | − | 0.194394i | −0.0555392 | − | 0.00625776i | ||||
\(966\) | 166.507 | + | 14.0447i | 5.35727 | + | 0.451880i | ||||
\(967\) | 38.2702 | − | 42.8244i | 1.23069 | − | 1.37714i | 0.329244 | − | 0.944245i | \(-0.393206\pi\) |
0.901444 | − | 0.432896i | \(-0.142508\pi\) | |||||||
\(968\) | 12.7536 | − | 6.14179i | 0.409915 | − | 0.197405i | ||||
\(969\) | −5.93561 | − | 12.4459i | −0.190679 | − | 0.399820i | ||||
\(970\) | −0.486059 | − | 0.609499i | −0.0156064 | − | 0.0195698i | ||||
\(971\) | 37.3407 | + | 33.3697i | 1.19832 | + | 1.07088i | 0.995795 | + | 0.0916064i | \(0.0292002\pi\) |
0.202524 | + | 0.979277i | \(0.435086\pi\) | |||||||
\(972\) | −25.0391 | − | 65.5955i | −0.803130 | − | 2.10398i | ||||
\(973\) | 27.6818 | − | 17.3936i | 0.887438 | − | 0.557614i | ||||
\(974\) | −30.3639 | − | 58.7751i | −0.972923 | − | 1.88328i | ||||
\(975\) | −3.71979 | − | 6.30596i | −0.119129 | − | 0.201952i | ||||
\(976\) | 4.72034 | + | 10.5489i | 0.151094 | + | 0.337663i | ||||
\(977\) | −34.6142 | − | 38.7333i | −1.10740 | − | 1.23919i | −0.968535 | − | 0.248876i | \(-0.919939\pi\) |
−0.138870 | − | 0.990311i | \(-0.544347\pi\) | |||||||
\(978\) | 108.174 | − | 59.7857i | 3.45902 | − | 1.91174i | ||||
\(979\) | 26.9576 | + | 0.756358i | 0.861570 | + | 0.0241733i | ||||
\(980\) | −6.79288 | − | 21.3124i | −0.216991 | − | 0.680801i | ||||
\(981\) | 0.996179 | + | 35.5052i | 0.0318055 | + | 1.13359i | ||||
\(982\) | 41.9118 | + | 41.9118i | 1.33746 | + | 1.33746i | ||||
\(983\) | −10.3110 | − | 15.4314i | −0.328868 | − | 0.492186i | 0.629782 | − | 0.776772i | \(-0.283144\pi\) |
−0.958651 | + | 0.284585i | \(0.908144\pi\) | |||||||
\(984\) | −30.4458 | − | 42.9094i | −0.970577 | − | 1.36790i | ||||
\(985\) | 7.38007 | + | 9.25431i | 0.235149 | + | 0.294867i | ||||
\(986\) | 43.6714 | + | 44.0039i | 1.39078 | + | 1.40137i | ||||
\(987\) | 47.9022 | + | 23.0685i | 1.52475 | + | 0.734278i | ||||
\(988\) | −2.47403 | + | 1.02478i | −0.0787093 | + | 0.0326024i | ||||
\(989\) | 37.3106 | + | 13.5857i | 1.18641 | + | 0.432000i | ||||
\(990\) | −12.3370 | + | 12.3370i | −0.392096 | + | 0.392096i | ||||
\(991\) | 15.5198 | + | 11.6799i | 0.493003 | + | 0.371023i | 0.818487 | − | 0.574525i | \(-0.194813\pi\) |
−0.325484 | + | 0.945547i | \(0.605527\pi\) | |||||||
\(992\) | −10.8943 | − | 1.53802i | −0.345894 | − | 0.0488322i | ||||
\(993\) | 45.3383 | − | 53.6914i | 1.43877 | − | 1.70385i | ||||
\(994\) | −105.113 | − | 17.8594i | −3.33398 | − | 0.566465i | ||||
\(995\) | −5.40154 | + | 13.0405i | −0.171240 | + | 0.413411i | ||||
\(996\) | −2.15108 | − | 10.8142i | −0.0681595 | − | 0.342661i | ||||
\(997\) | −9.82499 | − | 3.75039i | −0.311161 | − | 0.118776i | 0.196062 | − | 0.980592i | \(-0.437185\pi\) |
−0.507222 | + | 0.861815i | \(0.669328\pi\) | |||||||
\(998\) | −53.3274 | + | 45.0309i | −1.68805 | + | 1.42543i | ||||
\(999\) | −25.1591 | + | 15.8085i | −0.795997 | + | 0.500158i |
(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 | 731.2.bj.a.22.5 | ✓ | 3072 | |
17.7 | odd | 16 | inner | 731.2.bj.a.194.60 | yes | 3072 | |
43.2 | odd | 14 | inner | 731.2.bj.a.260.60 | yes | 3072 | |
731.432 | even | 112 | inner | 731.2.bj.a.432.5 | yes | 3072 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.bj.a.22.5 | ✓ | 3072 | 1.1 | even | 1 | trivial | |
731.2.bj.a.194.60 | yes | 3072 | 17.7 | odd | 16 | inner | |
731.2.bj.a.260.60 | yes | 3072 | 43.2 | odd | 14 | inner | |
731.2.bj.a.432.5 | yes | 3072 | 731.432 | even | 112 | inner |