Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(11,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 0, 23]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.br (of order \(30\), degree \(8\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(176\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 11.5 | ||
Character | \(\chi\) | \(=\) | 930.11 |
Dual form | 930.2.br.b.761.5 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{23}{30}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.951057 | + | 0.309017i | −0.672499 | + | 0.218508i | ||||
\(3\) | 0.0316079 | − | 1.73176i | 0.0182488 | − | 0.999833i | ||||
\(4\) | 0.809017 | − | 0.587785i | 0.404508 | − | 0.293893i | ||||
\(5\) | −0.866025 | + | 0.500000i | −0.387298 | + | 0.223607i | ||||
\(6\) | 0.505083 | + | 1.65677i | 0.206199 | + | 0.676374i | ||||
\(7\) | −0.0802420 | − | 0.763452i | −0.0303286 | − | 0.288558i | −0.999165 | − | 0.0408561i | \(-0.986991\pi\) |
0.968836 | − | 0.247701i | \(-0.0796752\pi\) | |||||||
\(8\) | −0.587785 | + | 0.809017i | −0.207813 | + | 0.286031i | ||||
\(9\) | −2.99800 | − | 0.109475i | −0.999334 | − | 0.0364916i | ||||
\(10\) | 0.669131 | − | 0.743145i | 0.211598 | − | 0.235003i | ||||
\(11\) | −0.551428 | − | 0.245511i | −0.166262 | − | 0.0740245i | 0.321918 | − | 0.946767i | \(-0.395672\pi\) |
−0.488180 | + | 0.872743i | \(0.662339\pi\) | |||||||
\(12\) | −0.992333 | − | 1.41960i | −0.286462 | − | 0.409804i | ||||
\(13\) | 1.24517 | + | 5.85808i | 0.345349 | + | 1.62474i | 0.717494 | + | 0.696565i | \(0.245289\pi\) |
−0.372145 | + | 0.928175i | \(0.621378\pi\) | |||||||
\(14\) | 0.312234 | + | 0.701289i | 0.0834481 | + | 0.187427i | ||||
\(15\) | 0.838508 | + | 1.51555i | 0.216502 | + | 0.391314i | ||||
\(16\) | 0.309017 | − | 0.951057i | 0.0772542 | − | 0.237764i | ||||
\(17\) | −0.895018 | + | 0.398488i | −0.217074 | + | 0.0966474i | −0.512393 | − | 0.858751i | \(-0.671241\pi\) |
0.295319 | + | 0.955399i | \(0.404574\pi\) | |||||||
\(18\) | 2.88510 | − | 0.822317i | 0.680024 | − | 0.193822i | ||||
\(19\) | −4.05438 | − | 0.861785i | −0.930138 | − | 0.197707i | −0.282161 | − | 0.959367i | \(-0.591051\pi\) |
−0.647977 | + | 0.761660i | \(0.724385\pi\) | |||||||
\(20\) | −0.406737 | + | 0.913545i | −0.0909491 | + | 0.204275i | ||||
\(21\) | −1.32465 | + | 0.114829i | −0.289063 | + | 0.0250577i | ||||
\(22\) | 0.600306 | + | 0.0630947i | 0.127986 | + | 0.0134518i | ||||
\(23\) | 0.492054 | + | 0.357498i | 0.102600 | + | 0.0745435i | 0.637903 | − | 0.770117i | \(-0.279802\pi\) |
−0.535302 | + | 0.844661i | \(0.679802\pi\) | |||||||
\(24\) | 1.38245 | + | 1.04348i | 0.282191 | + | 0.212999i | ||||
\(25\) | 0.500000 | − | 0.866025i | 0.100000 | − | 0.173205i | ||||
\(26\) | −2.99448 | − | 5.18659i | −0.587265 | − | 1.01717i | ||||
\(27\) | −0.284345 | + | 5.18837i | −0.0547222 | + | 0.998502i | ||||
\(28\) | −0.513663 | − | 0.570480i | −0.0970731 | − | 0.107811i | ||||
\(29\) | 2.63625 | + | 8.11355i | 0.489540 | + | 1.50665i | 0.825296 | + | 0.564700i | \(0.191008\pi\) |
−0.335756 | + | 0.941949i | \(0.608992\pi\) | |||||||
\(30\) | −1.26580 | − | 1.18226i | −0.231102 | − | 0.215851i | ||||
\(31\) | 1.97759 | + | 5.20472i | 0.355185 | + | 0.934796i | ||||
\(32\) | 1.00000i | 0.176777i | ||||||||
\(33\) | −0.442597 | + | 0.947182i | −0.0770462 | + | 0.164883i | ||||
\(34\) | 0.728073 | − | 0.655560i | 0.124863 | − | 0.112428i | ||||
\(35\) | 0.451217 | + | 0.621047i | 0.0762697 | + | 0.104976i | ||||
\(36\) | −2.48978 | + | 1.67361i | −0.414964 | + | 0.278936i | ||||
\(37\) | −9.50309 | − | 5.48661i | −1.56230 | − | 0.901993i | −0.997024 | − | 0.0770894i | \(-0.975437\pi\) |
−0.565273 | − | 0.824904i | \(-0.691229\pi\) | |||||||
\(38\) | 4.12225 | − | 0.433266i | 0.668717 | − | 0.0702850i | ||||
\(39\) | 10.1842 | − | 1.97118i | 1.63077 | − | 0.315642i | ||||
\(40\) | 0.104528 | − | 0.994522i | 0.0165274 | − | 0.157248i | ||||
\(41\) | 8.20129 | + | 7.38447i | 1.28083 | + | 1.15326i | 0.979873 | + | 0.199621i | \(0.0639713\pi\) |
0.300953 | + | 0.953639i | \(0.402695\pi\) | |||||||
\(42\) | 1.22434 | − | 0.518549i | 0.188919 | − | 0.0800139i | ||||
\(43\) | 0.784850 | − | 3.69243i | 0.119689 | − | 0.563090i | −0.876908 | − | 0.480658i | \(-0.840398\pi\) |
0.996597 | − | 0.0824323i | \(-0.0262688\pi\) | |||||||
\(44\) | −0.590422 | + | 0.125498i | −0.0890095 | + | 0.0189196i | ||||
\(45\) | 2.65108 | − | 1.40419i | 0.395200 | − | 0.209325i | ||||
\(46\) | −0.578444 | − | 0.187948i | −0.0852870 | − | 0.0277114i | ||||
\(47\) | −9.44864 | − | 3.07005i | −1.37823 | − | 0.447813i | −0.476140 | − | 0.879370i | \(-0.657964\pi\) |
−0.902086 | + | 0.431557i | \(0.857964\pi\) | |||||||
\(48\) | −1.63724 | − | 0.565205i | −0.236315 | − | 0.0815803i | ||||
\(49\) | 6.27061 | − | 1.33286i | 0.895802 | − | 0.190409i | ||||
\(50\) | −0.207912 | + | 0.978148i | −0.0294032 | + | 0.138331i | ||||
\(51\) | 0.661796 | + | 1.56255i | 0.0926700 | + | 0.218801i | ||||
\(52\) | 4.45066 | + | 4.00739i | 0.617195 | + | 0.555725i | ||||
\(53\) | −0.409227 | + | 3.89354i | −0.0562117 | + | 0.534818i | 0.929791 | + | 0.368088i | \(0.119988\pi\) |
−0.986003 | + | 0.166730i | \(0.946679\pi\) | |||||||
\(54\) | −1.33287 | − | 5.02230i | −0.181380 | − | 0.683448i | ||||
\(55\) | 0.600306 | − | 0.0630947i | 0.0809453 | − | 0.00850769i | ||||
\(56\) | 0.664810 | + | 0.383828i | 0.0888390 | + | 0.0512912i | ||||
\(57\) | −1.62056 | + | 6.99398i | −0.214648 | + | 0.926376i | ||||
\(58\) | −5.01445 | − | 6.90180i | −0.658430 | − | 0.906251i | ||||
\(59\) | 7.27371 | − | 6.54928i | 0.946957 | − | 0.852644i | −0.0422593 | − | 0.999107i | \(-0.513456\pi\) |
0.989216 | + | 0.146463i | \(0.0467889\pi\) | |||||||
\(60\) | 1.56919 | + | 0.733246i | 0.202581 | + | 0.0946617i | ||||
\(61\) | 11.7984i | 1.51063i | 0.655359 | + | 0.755317i | \(0.272517\pi\) | ||||
−0.655359 | + | 0.755317i | \(0.727483\pi\) | |||||||
\(62\) | −3.48915 | − | 4.33888i | −0.443122 | − | 0.551038i | ||||
\(63\) | 0.156987 | + | 2.29761i | 0.0197785 | + | 0.289472i | ||||
\(64\) | −0.309017 | − | 0.951057i | −0.0386271 | − | 0.118882i | ||||
\(65\) | −4.00739 | − | 4.45066i | −0.497056 | − | 0.552036i | ||||
\(66\) | 0.128239 | − | 1.03759i | 0.0157852 | − | 0.127719i | ||||
\(67\) | −0.364290 | − | 0.630968i | −0.0445051 | − | 0.0770851i | 0.842915 | − | 0.538047i | \(-0.180838\pi\) |
−0.887420 | + | 0.460962i | \(0.847504\pi\) | |||||||
\(68\) | −0.489859 | + | 0.848461i | −0.0594042 | + | 0.102891i | ||||
\(69\) | 0.634655 | − | 0.840821i | 0.0764035 | − | 0.101223i | ||||
\(70\) | −0.621047 | − | 0.451217i | −0.0742294 | − | 0.0539308i | ||||
\(71\) | 6.35088 | + | 0.667504i | 0.753711 | + | 0.0792182i | 0.473589 | − | 0.880746i | \(-0.342958\pi\) |
0.280122 | + | 0.959964i | \(0.409625\pi\) | |||||||
\(72\) | 1.85075 | − | 2.36109i | 0.218113 | − | 0.278257i | ||||
\(73\) | −5.73753 | + | 12.8867i | −0.671527 | + | 1.50827i | 0.179835 | + | 0.983697i | \(0.442444\pi\) |
−0.851362 | + | 0.524578i | \(0.824223\pi\) | |||||||
\(74\) | 10.7334 | + | 2.28146i | 1.24774 | + | 0.265214i | ||||
\(75\) | −1.48395 | − | 0.893254i | −0.171351 | − | 0.103144i | ||||
\(76\) | −3.78661 | + | 1.68591i | −0.434353 | + | 0.193387i | ||||
\(77\) | −0.143188 | + | 0.440689i | −0.0163178 | + | 0.0502211i | ||||
\(78\) | −9.07658 | + | 5.02178i | −1.02772 | + | 0.568605i | ||||
\(79\) | 2.71470 | + | 6.09731i | 0.305427 | + | 0.686001i | 0.999423 | − | 0.0339789i | \(-0.0108179\pi\) |
−0.693995 | + | 0.719979i | \(0.744151\pi\) | |||||||
\(80\) | 0.207912 | + | 0.978148i | 0.0232452 | + | 0.109360i | ||||
\(81\) | 8.97603 | + | 0.656411i | 0.997337 | + | 0.0729346i | ||||
\(82\) | −10.0818 | − | 4.48871i | −1.11335 | − | 0.495695i | ||||
\(83\) | 4.71869 | − | 5.24064i | 0.517944 | − | 0.575235i | −0.426258 | − | 0.904602i | \(-0.640169\pi\) |
0.944202 | + | 0.329367i | \(0.106835\pi\) | |||||||
\(84\) | −1.00417 | + | 0.871510i | −0.109564 | + | 0.0950895i | ||||
\(85\) | 0.575864 | − | 0.792609i | 0.0624613 | − | 0.0859705i | ||||
\(86\) | 0.394587 | + | 3.75424i | 0.0425494 | + | 0.404830i | ||||
\(87\) | 14.1341 | − | 4.30891i | 1.51533 | − | 0.461964i | ||||
\(88\) | 0.522744 | − | 0.301806i | 0.0557247 | − | 0.0321727i | ||||
\(89\) | 4.80921 | − | 3.49409i | 0.509775 | − | 0.370373i | −0.302963 | − | 0.953002i | \(-0.597976\pi\) |
0.812738 | + | 0.582629i | \(0.197976\pi\) | |||||||
\(90\) | −2.08741 | + | 2.15470i | −0.220032 | + | 0.227125i | ||||
\(91\) | 4.37244 | − | 1.42069i | 0.458357 | − | 0.148929i | ||||
\(92\) | 0.608212 | 0.0634105 | ||||||||
\(93\) | 9.07585 | − | 3.26020i | 0.941122 | − | 0.338067i | ||||
\(94\) | 9.93488 | 1.02471 | ||||||||
\(95\) | 3.94209 | − | 1.28086i | 0.404450 | − | 0.131414i | ||||
\(96\) | 1.73176 | + | 0.0316079i | 0.176747 | + | 0.00322597i | ||||
\(97\) | 7.85424 | − | 5.70644i | 0.797477 | − | 0.579401i | −0.112696 | − | 0.993630i | \(-0.535949\pi\) |
0.910173 | + | 0.414228i | \(0.135949\pi\) | |||||||
\(98\) | −5.55183 | + | 3.20535i | −0.560820 | + | 0.323789i | ||||
\(99\) | 1.62630 | + | 0.796411i | 0.163450 | + | 0.0800423i | ||||
\(100\) | −0.104528 | − | 0.994522i | −0.0104528 | − | 0.0994522i | ||||
\(101\) | −7.75539 | + | 10.6744i | −0.771690 | + | 1.06214i | 0.224460 | + | 0.974483i | \(0.427938\pi\) |
−0.996151 | + | 0.0876573i | \(0.972062\pi\) | |||||||
\(102\) | −1.11226 | − | 1.28157i | −0.110130 | − | 0.126894i | ||||
\(103\) | −10.7089 | + | 11.8935i | −1.05518 | + | 1.17190i | −0.0705052 | + | 0.997511i | \(0.522461\pi\) |
−0.984677 | + | 0.174387i | \(0.944206\pi\) | |||||||
\(104\) | −5.47118 | − | 2.43593i | −0.536493 | − | 0.238862i | ||||
\(105\) | 1.08977 | − | 0.761771i | 0.106351 | − | 0.0743413i | ||||
\(106\) | −0.813971 | − | 3.82943i | −0.0790598 | − | 0.371947i | ||||
\(107\) | 5.63995 | + | 12.6675i | 0.545235 | + | 1.22462i | 0.950587 | + | 0.310457i | \(0.100482\pi\) |
−0.405353 | + | 0.914160i | \(0.632851\pi\) | |||||||
\(108\) | 2.81961 | + | 4.36461i | 0.271317 | + | 0.419985i | ||||
\(109\) | −2.77250 | + | 8.53289i | −0.265558 | + | 0.817302i | 0.726007 | + | 0.687688i | \(0.241374\pi\) |
−0.991564 | + | 0.129615i | \(0.958626\pi\) | |||||||
\(110\) | −0.551428 | + | 0.245511i | −0.0525766 | + | 0.0234086i | ||||
\(111\) | −9.80188 | + | 16.2837i | −0.930353 | + | 1.54558i | ||||
\(112\) | −0.750882 | − | 0.159605i | −0.0709517 | − | 0.0150812i | ||||
\(113\) | 0.875218 | − | 1.96577i | 0.0823336 | − | 0.184924i | −0.867687 | − | 0.497110i | \(-0.834394\pi\) |
0.950021 | + | 0.312186i | \(0.101061\pi\) | |||||||
\(114\) | −0.620018 | − | 7.15245i | −0.0580700 | − | 0.669888i | ||||
\(115\) | −0.604881 | − | 0.0635755i | −0.0564054 | − | 0.00592845i | ||||
\(116\) | 6.90180 | + | 5.01445i | 0.640816 | + | 0.465580i | ||||
\(117\) | −3.09172 | − | 17.6988i | −0.285830 | − | 1.63626i | ||||
\(118\) | −4.89387 | + | 8.47644i | −0.450518 | + | 0.780319i | ||||
\(119\) | 0.376044 | + | 0.651327i | 0.0344719 | + | 0.0597071i | ||||
\(120\) | −1.71897 | − | 0.212453i | −0.156920 | − | 0.0193942i | ||||
\(121\) | −7.11664 | − | 7.90383i | −0.646967 | − | 0.718530i | ||||
\(122\) | −3.64592 | − | 11.2210i | −0.330086 | − | 1.01590i | ||||
\(123\) | 13.0474 | − | 13.9693i | 1.17644 | − | 1.25957i | ||||
\(124\) | 4.65916 | + | 3.04831i | 0.418405 | + | 0.273747i | ||||
\(125\) | 1.00000i | 0.0894427i | ||||||||
\(126\) | −0.859305 | − | 2.13665i | −0.0765530 | − | 0.190348i | ||||
\(127\) | −7.31430 | + | 6.58582i | −0.649039 | + | 0.584397i | −0.926479 | − | 0.376346i | \(-0.877181\pi\) |
0.277441 | + | 0.960743i | \(0.410514\pi\) | |||||||
\(128\) | 0.587785 | + | 0.809017i | 0.0519534 | + | 0.0715077i | ||||
\(129\) | −6.36960 | − | 1.47588i | −0.560812 | − | 0.129944i | ||||
\(130\) | 5.18659 | + | 2.99448i | 0.454894 | + | 0.262633i | ||||
\(131\) | −13.9640 | + | 1.46768i | −1.22004 | + | 0.128232i | −0.692577 | − | 0.721344i | \(-0.743525\pi\) |
−0.527467 | + | 0.849575i | \(0.676858\pi\) | |||||||
\(132\) | 0.198671 | + | 1.02644i | 0.0172921 | + | 0.0893400i | ||||
\(133\) | −0.332600 | + | 3.16447i | −0.0288400 | + | 0.274395i | ||||
\(134\) | 0.541440 | + | 0.487515i | 0.0467733 | + | 0.0421149i | ||||
\(135\) | −2.34793 | − | 4.63543i | −0.202078 | − | 0.398954i | ||||
\(136\) | 0.203695 | − | 0.958310i | 0.0174667 | − | 0.0821744i | ||||
\(137\) | −7.78117 | + | 1.65394i | −0.664790 | + | 0.141305i | −0.527934 | − | 0.849286i | \(-0.677033\pi\) |
−0.136856 | + | 0.990591i | \(0.543700\pi\) | |||||||
\(138\) | −0.343765 | + | 0.995788i | −0.0292632 | + | 0.0847671i | ||||
\(139\) | −13.3149 | − | 4.32629i | −1.12936 | − | 0.366951i | −0.316027 | − | 0.948750i | \(-0.602349\pi\) |
−0.813332 | + | 0.581799i | \(0.802349\pi\) | |||||||
\(140\) | 0.730085 | + | 0.237219i | 0.0617034 | + | 0.0200487i | ||||
\(141\) | −5.61525 | + | 16.2658i | −0.472889 | + | 1.36982i | ||||
\(142\) | −6.24631 | + | 1.32770i | −0.524179 | + | 0.111418i | ||||
\(143\) | 0.751603 | − | 3.53601i | 0.0628522 | − | 0.295696i | ||||
\(144\) | −1.03055 | + | 2.81744i | −0.0858792 | + | 0.234787i | ||||
\(145\) | −6.33984 | − | 5.70842i | −0.526495 | − | 0.474058i | ||||
\(146\) | 1.47451 | − | 14.0290i | 0.122031 | − | 1.16105i | ||||
\(147\) | −2.11000 | − | 10.9013i | −0.174030 | − | 0.899128i | ||||
\(148\) | −10.9131 | + | 1.14701i | −0.897052 | + | 0.0942839i | ||||
\(149\) | −2.08442 | − | 1.20344i | −0.170762 | − | 0.0985897i | 0.412183 | − | 0.911101i | \(-0.364766\pi\) |
−0.582945 | + | 0.812511i | \(0.698100\pi\) | |||||||
\(150\) | 1.68735 | + | 0.390971i | 0.137771 | + | 0.0319226i | ||||
\(151\) | 2.52073 | + | 3.46948i | 0.205134 | + | 0.282343i | 0.899172 | − | 0.437596i | \(-0.144170\pi\) |
−0.694038 | + | 0.719939i | \(0.744170\pi\) | |||||||
\(152\) | 3.08030 | − | 2.77352i | 0.249846 | − | 0.224962i | ||||
\(153\) | 2.72689 | − | 1.09668i | 0.220456 | − | 0.0886617i | ||||
\(154\) | − | 0.463368i | − | 0.0373392i | ||||||
\(155\) | −4.31500 | − | 3.51863i | −0.346589 | − | 0.282623i | ||||
\(156\) | 7.08053 | − | 7.58082i | 0.566896 | − | 0.606951i | ||||
\(157\) | −3.61004 | − | 11.1106i | −0.288113 | − | 0.886720i | −0.985448 | − | 0.169975i | \(-0.945631\pi\) |
0.697336 | − | 0.716745i | \(-0.254369\pi\) | |||||||
\(158\) | −4.46600 | − | 4.96000i | −0.355296 | − | 0.394596i | ||||
\(159\) | 6.72974 | + | 0.831751i | 0.533703 | + | 0.0659621i | ||||
\(160\) | −0.500000 | − | 0.866025i | −0.0395285 | − | 0.0684653i | ||||
\(161\) | 0.233449 | − | 0.404346i | 0.0183984 | − | 0.0318669i | ||||
\(162\) | −8.73955 | + | 2.14946i | −0.686644 | + | 0.168878i | ||||
\(163\) | 4.01111 | + | 2.91424i | 0.314175 | + | 0.228261i | 0.733686 | − | 0.679489i | \(-0.237798\pi\) |
−0.419511 | + | 0.907750i | \(0.637798\pi\) | |||||||
\(164\) | 10.9755 | + | 1.15357i | 0.857040 | + | 0.0900785i | ||||
\(165\) | −0.0902907 | − | 1.04158i | −0.00702912 | − | 0.0810870i | ||||
\(166\) | −2.86830 | + | 6.44230i | −0.222623 | + | 0.500020i | ||||
\(167\) | −8.79381 | − | 1.86918i | −0.680485 | − | 0.144642i | −0.145314 | − | 0.989386i | \(-0.546419\pi\) |
−0.535171 | + | 0.844744i | \(0.679753\pi\) | |||||||
\(168\) | 0.685713 | − | 1.13916i | 0.0529039 | − | 0.0878882i | ||||
\(169\) | −20.8906 | + | 9.30107i | −1.60697 | + | 0.715467i | ||||
\(170\) | −0.302750 | + | 0.931768i | −0.0232198 | + | 0.0714633i | ||||
\(171\) | 12.0607 | + | 3.02748i | 0.922304 | + | 0.231518i | ||||
\(172\) | −1.53540 | − | 3.44856i | −0.117073 | − | 0.262950i | ||||
\(173\) | 1.89714 | + | 8.92535i | 0.144237 | + | 0.678582i | 0.989536 | + | 0.144288i | \(0.0460891\pi\) |
−0.845299 | + | 0.534294i | \(0.820578\pi\) | |||||||
\(174\) | −12.1108 | + | 8.46569i | −0.918115 | + | 0.641782i | ||||
\(175\) | −0.701289 | − | 0.312234i | −0.0530125 | − | 0.0236027i | ||||
\(176\) | −0.403896 | + | 0.448572i | −0.0304448 | + | 0.0338124i | ||||
\(177\) | −11.1119 | − | 12.8034i | −0.835221 | − | 0.962359i | ||||
\(178\) | −3.49409 | + | 4.80921i | −0.261893 | + | 0.360465i | ||||
\(179\) | −0.898176 | − | 8.54557i | −0.0671328 | − | 0.638726i | −0.975416 | − | 0.220371i | \(-0.929273\pi\) |
0.908283 | − | 0.418355i | \(-0.137393\pi\) | |||||||
\(180\) | 1.31941 | − | 2.69428i | 0.0983428 | − | 0.200820i | ||||
\(181\) | 16.9711 | − | 9.79829i | 1.26145 | − | 0.728301i | 0.288099 | − | 0.957601i | \(-0.406977\pi\) |
0.973356 | + | 0.229299i | \(0.0736435\pi\) | |||||||
\(182\) | −3.71942 | + | 2.70232i | −0.275702 | + | 0.200309i | ||||
\(183\) | 20.4321 | + | 0.372924i | 1.51038 | + | 0.0275673i | ||||
\(184\) | −0.578444 | + | 0.187948i | −0.0426435 | + | 0.0138557i | ||||
\(185\) | 10.9732 | 0.806767 | ||||||||
\(186\) | −7.62419 | + | 5.90523i | −0.559033 | + | 0.432992i | ||||
\(187\) | 0.591371 | 0.0432453 | ||||||||
\(188\) | −9.44864 | + | 3.07005i | −0.689113 | + | 0.223906i | ||||
\(189\) | 3.98388 | − | 0.199241i | 0.289785 | − | 0.0144927i | ||||
\(190\) | −3.35334 | + | 2.43634i | −0.243277 | + | 0.176751i | ||||
\(191\) | 11.6486 | − | 6.72532i | 0.842862 | − | 0.486627i | −0.0153738 | − | 0.999882i | \(-0.504894\pi\) |
0.858236 | + | 0.513255i | \(0.171560\pi\) | |||||||
\(192\) | −1.65677 | + | 0.505083i | −0.119567 | + | 0.0364512i | ||||
\(193\) | −2.58308 | − | 24.5763i | −0.185934 | − | 1.76904i | −0.547605 | − | 0.836737i | \(-0.684460\pi\) |
0.361671 | − | 0.932306i | \(-0.382206\pi\) | |||||||
\(194\) | −5.70644 | + | 7.85424i | −0.409698 | + | 0.563902i | ||||
\(195\) | −7.83415 | + | 6.79917i | −0.561015 | + | 0.486899i | ||||
\(196\) | 4.28960 | − | 4.76408i | 0.306400 | − | 0.340291i | ||||
\(197\) | −15.6853 | − | 6.98356i | −1.11753 | − | 0.497558i | −0.236984 | − | 0.971513i | \(-0.576159\pi\) |
−0.880549 | + | 0.473956i | \(0.842826\pi\) | |||||||
\(198\) | −1.79281 | − | 0.254876i | −0.127410 | − | 0.0181133i | ||||
\(199\) | −0.529552 | − | 2.49134i | −0.0375389 | − | 0.176607i | 0.955384 | − | 0.295366i | \(-0.0954416\pi\) |
−0.992923 | + | 0.118759i | \(0.962108\pi\) | |||||||
\(200\) | 0.406737 | + | 0.913545i | 0.0287606 | + | 0.0645974i | ||||
\(201\) | −1.10420 | + | 0.610920i | −0.0778844 | + | 0.0430910i | ||||
\(202\) | 4.07725 | − | 12.5485i | 0.286874 | − | 0.882908i | ||||
\(203\) | 5.98277 | − | 2.66370i | 0.419908 | − | 0.186955i | ||||
\(204\) | 1.45385 | + | 0.875138i | 0.101790 | + | 0.0612719i | ||||
\(205\) | −10.7948 | − | 2.29450i | −0.753939 | − | 0.160255i | ||||
\(206\) | 6.50951 | − | 14.6206i | 0.453539 | − | 1.01867i | ||||
\(207\) | −1.43604 | − | 1.12565i | −0.0998118 | − | 0.0782379i | ||||
\(208\) | 5.95614 | + | 0.626016i | 0.412984 | + | 0.0434064i | ||||
\(209\) | 2.02412 | + | 1.47061i | 0.140011 | + | 0.101724i | ||||
\(210\) | −0.801031 | + | 1.06124i | −0.0552764 | + | 0.0732328i | ||||
\(211\) | 6.82631 | − | 11.8235i | 0.469943 | − | 0.813964i | −0.529467 | − | 0.848331i | \(-0.677608\pi\) |
0.999409 | + | 0.0343663i | \(0.0109413\pi\) | |||||||
\(212\) | 1.95749 | + | 3.39047i | 0.134441 | + | 0.232859i | ||||
\(213\) | 1.35670 | − | 10.9771i | 0.0929593 | − | 0.752139i | ||||
\(214\) | −9.27840 | − | 10.3047i | −0.634258 | − | 0.704415i | ||||
\(215\) | 1.16651 | + | 3.59016i | 0.0795556 | + | 0.244847i | ||||
\(216\) | −4.03034 | − | 3.27969i | −0.274230 | − | 0.223154i | ||||
\(217\) | 3.81487 | − | 1.92743i | 0.258970 | − | 0.130842i | ||||
\(218\) | − | 8.97201i | − | 0.607661i | ||||||
\(219\) | 22.1354 | + | 10.3434i | 1.49577 | + | 0.698940i | ||||
\(220\) | 0.448572 | − | 0.403896i | 0.0302427 | − | 0.0272307i | ||||
\(221\) | −3.44882 | − | 4.74690i | −0.231993 | − | 0.319311i | ||||
\(222\) | 4.29021 | − | 18.5156i | 0.287940 | − | 1.24269i | ||||
\(223\) | 10.3800 | + | 5.99290i | 0.695097 | + | 0.401314i | 0.805519 | − | 0.592570i | \(-0.201887\pi\) |
−0.110422 | + | 0.993885i | \(0.535220\pi\) | |||||||
\(224\) | 0.763452 | − | 0.0802420i | 0.0510103 | − | 0.00536139i | ||||
\(225\) | −1.59381 | + | 2.54161i | −0.106254 | + | 0.169441i | ||||
\(226\) | −0.224925 | + | 2.14002i | −0.0149618 | + | 0.142352i | ||||
\(227\) | 16.1577 | + | 14.5485i | 1.07242 | + | 0.965615i | 0.999497 | − | 0.0317220i | \(-0.0100991\pi\) |
0.0729276 | + | 0.997337i | \(0.476766\pi\) | |||||||
\(228\) | 2.79990 | + | 6.61079i | 0.185428 | + | 0.437810i | ||||
\(229\) | −2.87446 | + | 13.5233i | −0.189950 | + | 0.893644i | 0.775153 | + | 0.631773i | \(0.217673\pi\) |
−0.965103 | + | 0.261870i | \(0.915661\pi\) | |||||||
\(230\) | 0.594922 | − | 0.126454i | 0.0392280 | − | 0.00833816i | ||||
\(231\) | 0.758642 | + | 0.261898i | 0.0499150 | + | 0.0172316i | ||||
\(232\) | −8.11355 | − | 2.63625i | −0.532681 | − | 0.173078i | ||||
\(233\) | 2.31438 | + | 0.751987i | 0.151620 | + | 0.0492643i | 0.383844 | − | 0.923398i | \(-0.374600\pi\) |
−0.232224 | + | 0.972662i | \(0.574600\pi\) | |||||||
\(234\) | 8.40965 | + | 15.8772i | 0.549756 | + | 1.03793i | ||||
\(235\) | 9.71778 | − | 2.06558i | 0.633918 | − | 0.134743i | ||||
\(236\) | 2.03499 | − | 9.57386i | 0.132466 | − | 0.623205i | ||||
\(237\) | 10.6449 | − | 4.50848i | 0.691460 | − | 0.292858i | ||||
\(238\) | −0.558910 | − | 0.503245i | −0.0362288 | − | 0.0326205i | ||||
\(239\) | 2.71745 | − | 25.8548i | 0.175777 | − | 1.67241i | −0.450477 | − | 0.892788i | \(-0.648746\pi\) |
0.626254 | − | 0.779619i | \(-0.284587\pi\) | |||||||
\(240\) | 1.70049 | − | 0.329136i | 0.109766 | − | 0.0212457i | ||||
\(241\) | −14.1209 | + | 1.48417i | −0.909607 | + | 0.0956035i | −0.547761 | − | 0.836635i | \(-0.684520\pi\) |
−0.361845 | + | 0.932238i | \(0.617853\pi\) | |||||||
\(242\) | 9.21074 | + | 5.31783i | 0.592089 | + | 0.341843i | ||||
\(243\) | 1.42046 | − | 15.5236i | 0.0911226 | − | 0.995840i | ||||
\(244\) | 6.93495 | + | 9.54513i | 0.443964 | + | 0.611065i | ||||
\(245\) | −4.76408 | + | 4.28960i | −0.304366 | + | 0.274052i | ||||
\(246\) | −8.09205 | + | 17.3174i | −0.515930 | + | 1.10412i | ||||
\(247\) | − | 24.8239i | − | 1.57951i | ||||||
\(248\) | −5.37311 | − | 1.45936i | −0.341193 | − | 0.0926693i | ||||
\(249\) | −8.92640 | − | 8.33730i | −0.565687 | − | 0.528355i | ||||
\(250\) | −0.309017 | − | 0.951057i | −0.0195440 | − | 0.0601501i | ||||
\(251\) | −7.86589 | − | 8.73596i | −0.496491 | − | 0.551409i | 0.441864 | − | 0.897082i | \(-0.354317\pi\) |
−0.938355 | + | 0.345673i | \(0.887651\pi\) | |||||||
\(252\) | 1.47751 | + | 1.76653i | 0.0930743 | + | 0.111281i | ||||
\(253\) | −0.183562 | − | 0.317939i | −0.0115405 | − | 0.0199887i | ||||
\(254\) | 4.92118 | − | 8.52373i | 0.308782 | − | 0.534826i | ||||
\(255\) | −1.35441 | − | 1.02231i | −0.0848164 | − | 0.0640197i | ||||
\(256\) | −0.809017 | − | 0.587785i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | −20.1391 | − | 2.11671i | −1.25624 | − | 0.132037i | −0.547080 | − | 0.837080i | \(-0.684261\pi\) |
−0.709164 | + | 0.705043i | \(0.750927\pi\) | |||||||
\(258\) | 6.51393 | − | 0.564667i | 0.405539 | − | 0.0351546i | ||||
\(259\) | −3.42621 | + | 7.69540i | −0.212895 | + | 0.478169i | ||||
\(260\) | −5.85808 | − | 1.24517i | −0.363303 | − | 0.0772224i | ||||
\(261\) | −7.01526 | − | 24.6130i | −0.434234 | − | 1.52351i | ||||
\(262\) | 12.8271 | − | 5.71098i | 0.792459 | − | 0.352825i | ||||
\(263\) | −6.78381 | + | 20.8784i | −0.418308 | + | 1.28742i | 0.490951 | + | 0.871187i | \(0.336649\pi\) |
−0.909259 | + | 0.416232i | \(0.863351\pi\) | |||||||
\(264\) | −0.506134 | − | 0.914808i | −0.0311504 | − | 0.0563025i | ||||
\(265\) | −1.59237 | − | 3.57651i | −0.0978183 | − | 0.219704i | ||||
\(266\) | −0.661555 | − | 3.11237i | −0.0405625 | − | 0.190832i | ||||
\(267\) | −5.89893 | − | 8.43885i | −0.361009 | − | 0.516449i | ||||
\(268\) | −0.665591 | − | 0.296340i | −0.0406574 | − | 0.0181018i | ||||
\(269\) | −10.7519 | + | 11.9412i | −0.655553 | + | 0.728065i | −0.975653 | − | 0.219318i | \(-0.929617\pi\) |
0.320100 | + | 0.947384i | \(0.396283\pi\) | |||||||
\(270\) | 3.66544 | + | 3.68300i | 0.223072 | + | 0.224141i | ||||
\(271\) | −0.374862 | + | 0.515953i | −0.0227712 | + | 0.0313419i | −0.820251 | − | 0.572004i | \(-0.806166\pi\) |
0.797480 | + | 0.603346i | \(0.206166\pi\) | |||||||
\(272\) | 0.102409 | + | 0.974352i | 0.00620943 | + | 0.0590788i | ||||
\(273\) | −2.32210 | − | 7.61694i | −0.140540 | − | 0.460998i | ||||
\(274\) | 6.88923 | − | 3.97750i | 0.416194 | − | 0.240290i | ||||
\(275\) | −0.488333 | + | 0.354795i | −0.0294476 | + | 0.0213949i | ||||
\(276\) | 0.0192243 | − | 1.05328i | 0.00115717 | − | 0.0634000i | ||||
\(277\) | −3.10775 | + | 1.00977i | −0.186726 | + | 0.0606711i | −0.400888 | − | 0.916127i | \(-0.631298\pi\) |
0.214161 | + | 0.976798i | \(0.431298\pi\) | |||||||
\(278\) | 14.0002 | 0.839674 | ||||||||
\(279\) | −5.35903 | − | 15.8203i | −0.320837 | − | 0.947135i | ||||
\(280\) | −0.767657 | −0.0458763 | ||||||||
\(281\) | 5.35691 | − | 1.74057i | 0.319567 | − | 0.103833i | −0.144841 | − | 0.989455i | \(-0.546267\pi\) |
0.464408 | + | 0.885621i | \(0.346267\pi\) | |||||||
\(282\) | 0.314021 | − | 17.2049i | 0.0186997 | − | 1.02453i | ||||
\(283\) | −16.4777 | + | 11.9717i | −0.979495 | + | 0.711645i | −0.957596 | − | 0.288115i | \(-0.906971\pi\) |
−0.0218994 | + | 0.999760i | \(0.506971\pi\) | |||||||
\(284\) | 5.53032 | − | 3.19293i | 0.328164 | − | 0.189466i | ||||
\(285\) | −2.09355 | − | 6.86724i | −0.124011 | − | 0.406780i | ||||
\(286\) | 0.377871 | + | 3.59521i | 0.0223440 | + | 0.212589i | ||||
\(287\) | 4.97960 | − | 6.85383i | 0.293936 | − | 0.404569i | ||||
\(288\) | 0.109475 | − | 2.99800i | 0.00645086 | − | 0.176659i | ||||
\(289\) | −10.7330 | + | 11.9202i | −0.631350 | + | 0.701186i | ||||
\(290\) | 7.79354 | + | 3.46991i | 0.457653 | + | 0.203760i | ||||
\(291\) | −9.63394 | − | 13.7820i | −0.564752 | − | 0.807918i | ||||
\(292\) | 2.93286 | + | 13.7980i | 0.171632 | + | 0.807467i | ||||
\(293\) | −3.61021 | − | 8.10866i | −0.210911 | − | 0.473713i | 0.776851 | − | 0.629685i | \(-0.216816\pi\) |
−0.987762 | + | 0.155971i | \(0.950149\pi\) | |||||||
\(294\) | 5.37543 | + | 9.71577i | 0.313501 | + | 0.566635i | ||||
\(295\) | −3.02458 | + | 9.30870i | −0.176098 | + | 0.541974i | ||||
\(296\) | 10.0245 | − | 4.46321i | 0.582664 | − | 0.259419i | ||||
\(297\) | 1.43060 | − | 2.79120i | 0.0830118 | − | 0.161962i | ||||
\(298\) | 2.35428 | + | 0.500419i | 0.136380 | + | 0.0289885i | ||||
\(299\) | −1.48156 | + | 3.32764i | −0.0856809 | + | 0.192442i | ||||
\(300\) | −1.72558 | + | 0.149584i | −0.0996264 | + | 0.00863622i | ||||
\(301\) | −2.88197 | − | 0.302907i | −0.166114 | − | 0.0174593i | ||||
\(302\) | −3.46948 | − | 2.52073i | −0.199646 | − | 0.145052i | ||||
\(303\) | 18.2404 | + | 13.7679i | 1.04788 | + | 0.790945i | ||||
\(304\) | −2.07248 | + | 3.58964i | −0.118865 | + | 0.205880i | ||||
\(305\) | −5.89922 | − | 10.2177i | −0.337788 | − | 0.585066i | ||||
\(306\) | −2.25453 | + | 1.88566i | −0.128883 | + | 0.107796i | ||||
\(307\) | −3.54030 | − | 3.93190i | −0.202056 | − | 0.224405i | 0.633598 | − | 0.773663i | \(-0.281577\pi\) |
−0.835653 | + | 0.549257i | \(0.814911\pi\) | |||||||
\(308\) | 0.143188 | + | 0.440689i | 0.00815892 | + | 0.0251106i | ||||
\(309\) | 20.2582 | + | 18.9213i | 1.15245 | + | 1.07639i | ||||
\(310\) | 5.19113 | + | 2.01301i | 0.294836 | + | 0.114331i | ||||
\(311\) | − | 9.87218i | − | 0.559800i | −0.960029 | − | 0.279900i | \(-0.909699\pi\) | ||
0.960029 | − | 0.279900i | \(-0.0903013\pi\) | |||||||
\(312\) | −4.39138 | + | 9.39779i | −0.248613 | + | 0.532045i | ||||
\(313\) | 10.7290 | − | 9.66046i | 0.606441 | − | 0.546042i | −0.307677 | − | 0.951491i | \(-0.599552\pi\) |
0.914118 | + | 0.405449i | \(0.132885\pi\) | |||||||
\(314\) | 6.86671 | + | 9.45122i | 0.387511 | + | 0.533363i | ||||
\(315\) | −1.28476 | − | 1.91130i | −0.0723881 | − | 0.107689i | ||||
\(316\) | 5.78014 | + | 3.33717i | 0.325158 | + | 0.187730i | ||||
\(317\) | −6.87909 | + | 0.723022i | −0.386368 | + | 0.0406089i | −0.295722 | − | 0.955274i | \(-0.595560\pi\) |
−0.0906467 | + | 0.995883i | \(0.528893\pi\) | |||||||
\(318\) | −6.65739 | + | 1.28856i | −0.373328 | + | 0.0722591i | ||||
\(319\) | 0.538267 | − | 5.12127i | 0.0301372 | − | 0.286736i | ||||
\(320\) | 0.743145 | + | 0.669131i | 0.0415431 | + | 0.0374055i | ||||
\(321\) | 22.1154 | − | 9.36666i | 1.23436 | − | 0.522796i | ||||
\(322\) | −0.0970736 | + | 0.456696i | −0.00540970 | + | 0.0254506i | ||||
\(323\) | 3.97215 | − | 0.844307i | 0.221016 | − | 0.0469785i | ||||
\(324\) | 7.64759 | − | 4.74493i | 0.424866 | − | 0.263607i | ||||
\(325\) | 5.69583 | + | 1.85069i | 0.315948 | + | 0.102658i | ||||
\(326\) | −4.71535 | − | 1.53211i | −0.261159 | − | 0.0848557i | ||||
\(327\) | 14.6893 | + | 5.07102i | 0.812320 | + | 0.280428i | ||||
\(328\) | −10.7948 | + | 2.29450i | −0.596041 | + | 0.126692i | ||||
\(329\) | −1.58566 | + | 7.45992i | −0.0874200 | + | 0.411279i | ||||
\(330\) | 0.407738 | + | 0.962702i | 0.0224452 | + | 0.0529950i | ||||
\(331\) | 9.95446 | + | 8.96303i | 0.547146 | + | 0.492653i | 0.895714 | − | 0.444631i | \(-0.146665\pi\) |
−0.348568 | + | 0.937284i | \(0.613332\pi\) | |||||||
\(332\) | 0.737132 | − | 7.01335i | 0.0404554 | − | 0.384907i | ||||
\(333\) | 27.8896 | + | 17.4892i | 1.52834 | + | 0.958403i | ||||
\(334\) | 8.94101 | − | 0.939739i | 0.489231 | − | 0.0514202i | ||||
\(335\) | 0.630968 | + | 0.364290i | 0.0344735 | + | 0.0199033i | ||||
\(336\) | −0.300131 | + | 1.29530i | −0.0163735 | + | 0.0706646i | ||||
\(337\) | −4.02343 | − | 5.53778i | −0.219170 | − | 0.301662i | 0.685247 | − | 0.728311i | \(-0.259694\pi\) |
−0.904417 | + | 0.426649i | \(0.859694\pi\) | |||||||
\(338\) | 16.9939 | − | 15.3014i | 0.924347 | − | 0.832285i | ||||
\(339\) | −3.37659 | − | 1.57780i | −0.183391 | − | 0.0856945i | ||||
\(340\) | − | 0.979719i | − | 0.0531327i | ||||||
\(341\) | 0.187322 | − | 3.35555i | 0.0101441 | − | 0.181713i | ||||
\(342\) | −12.4059 | + | 0.847650i | −0.670837 | + | 0.0458357i | ||||
\(343\) | −3.18127 | − | 9.79095i | −0.171773 | − | 0.528662i | ||||
\(344\) | 2.52592 | + | 2.80531i | 0.136188 | + | 0.151252i | ||||
\(345\) | −0.129217 | + | 1.04550i | −0.00695679 | + | 0.0562878i | ||||
\(346\) | −4.56237 | − | 7.90226i | −0.245275 | − | 0.424828i | ||||
\(347\) | −17.8507 | + | 30.9184i | −0.958278 | + | 1.65979i | −0.231595 | + | 0.972812i | \(0.574394\pi\) |
−0.726683 | + | 0.686973i | \(0.758939\pi\) | |||||||
\(348\) | 8.90199 | − | 11.7938i | 0.477197 | − | 0.632213i | ||||
\(349\) | −2.89439 | − | 2.10290i | −0.154933 | − | 0.112565i | 0.507618 | − | 0.861582i | \(-0.330526\pi\) |
−0.662551 | + | 0.749017i | \(0.730526\pi\) | |||||||
\(350\) | 0.763452 | + | 0.0802420i | 0.0408082 | + | 0.00428911i | ||||
\(351\) | −30.7479 | + | 4.79470i | −1.64120 | + | 0.255922i | ||||
\(352\) | 0.245511 | − | 0.551428i | 0.0130858 | − | 0.0293912i | ||||
\(353\) | −4.63748 | − | 0.985728i | −0.246828 | − | 0.0524650i | 0.0828360 | − | 0.996563i | \(-0.473602\pi\) |
−0.329664 | + | 0.944098i | \(0.606936\pi\) | |||||||
\(354\) | 14.5245 | + | 8.74295i | 0.771968 | + | 0.464682i | ||||
\(355\) | −5.83377 | + | 2.59736i | −0.309625 | + | 0.137854i | ||||
\(356\) | 1.83695 | − | 5.65356i | 0.0973584 | − | 0.299638i | ||||
\(357\) | 1.13983 | − | 0.630632i | 0.0603262 | − | 0.0333766i | ||||
\(358\) | 3.49494 | + | 7.84977i | 0.184713 | + | 0.414873i | ||||
\(359\) | −4.69762 | − | 22.1006i | −0.247931 | − | 1.16642i | −0.909228 | − | 0.416299i | \(-0.863327\pi\) |
0.661297 | − | 0.750125i | \(-0.270006\pi\) | |||||||
\(360\) | −0.422252 | + | 2.97014i | −0.0222546 | + | 0.156540i | ||||
\(361\) | −1.66205 | − | 0.739991i | −0.0874762 | − | 0.0389469i | ||||
\(362\) | −13.1127 | + | 14.5631i | −0.689187 | + | 0.765419i | ||||
\(363\) | −13.9125 | + | 12.0745i | −0.730217 | + | 0.633747i | ||||
\(364\) | 2.70232 | − | 3.71942i | 0.141640 | − | 0.194951i | ||||
\(365\) | −1.47451 | − | 14.0290i | −0.0771791 | − | 0.734310i | ||||
\(366\) | −19.5473 | + | 5.95919i | −1.02175 | + | 0.311492i | ||||
\(367\) | 18.2142 | − | 10.5160i | 0.950772 | − | 0.548929i | 0.0574515 | − | 0.998348i | \(-0.481703\pi\) |
0.893321 | + | 0.449420i | \(0.148369\pi\) | |||||||
\(368\) | 0.492054 | − | 0.357498i | 0.0256501 | − | 0.0186359i | ||||
\(369\) | −23.7791 | − | 23.0365i | −1.23789 | − | 1.19923i | ||||
\(370\) | −10.4362 | + | 3.39091i | −0.542550 | + | 0.176285i | ||||
\(371\) | 3.00536 | 0.156031 | ||||||||
\(372\) | 5.42622 | − | 7.97221i | 0.281336 | − | 0.413340i | ||||
\(373\) | 9.76782 | 0.505758 | 0.252879 | − | 0.967498i | \(-0.418622\pi\) | ||||
0.252879 | + | 0.967498i | \(0.418622\pi\) | |||||||
\(374\) | −0.562427 | + | 0.182744i | −0.0290824 | + | 0.00944945i | ||||
\(375\) | 1.73176 | + | 0.0316079i | 0.0894278 | + | 0.00163222i | ||||
\(376\) | 8.03749 | − | 5.83958i | 0.414502 | − | 0.301153i | ||||
\(377\) | −44.2472 | + | 25.5462i | −2.27885 | + | 1.31569i | ||||
\(378\) | −3.72733 | + | 1.42058i | −0.191713 | + | 0.0730666i | ||||
\(379\) | 2.78074 | + | 26.4570i | 0.142837 | + | 1.35900i | 0.797608 | + | 0.603176i | \(0.206098\pi\) |
−0.654771 | + | 0.755827i | \(0.727235\pi\) | |||||||
\(380\) | 2.43634 | − | 3.35334i | 0.124982 | − | 0.172023i | ||||
\(381\) | 11.1739 | + | 12.8748i | 0.572456 | + | 0.659595i | ||||
\(382\) | −9.00023 | + | 9.99577i | −0.460492 | + | 0.511428i | ||||
\(383\) | 24.8972 | + | 11.0849i | 1.27219 | + | 0.566413i | 0.928032 | − | 0.372500i | \(-0.121499\pi\) |
0.344153 | + | 0.938914i | \(0.388166\pi\) | |||||||
\(384\) | 1.41960 | − | 0.992333i | 0.0724439 | − | 0.0506398i | ||||
\(385\) | −0.0963395 | − | 0.453242i | −0.00490992 | − | 0.0230993i | ||||
\(386\) | 10.0512 | + | 22.5753i | 0.511590 | + | 1.14905i | ||||
\(387\) | −2.75721 | + | 10.9840i | −0.140157 | + | 0.558348i | ||||
\(388\) | 3.00005 | − | 9.23321i | 0.152305 | − | 0.468745i | ||||
\(389\) | −20.0853 | + | 8.94256i | −1.01837 | + | 0.453406i | −0.846882 | − | 0.531781i | \(-0.821523\pi\) |
−0.171484 | + | 0.985187i | \(0.554856\pi\) | |||||||
\(390\) | 5.34966 | − | 8.88728i | 0.270890 | − | 0.450025i | ||||
\(391\) | −0.582856 | − | 0.123890i | −0.0294763 | − | 0.00626538i | ||||
\(392\) | −2.60747 | + | 5.85647i | −0.131697 | + | 0.295796i | ||||
\(393\) | 2.10030 | + | 24.2288i | 0.105946 | + | 1.22218i | ||||
\(394\) | 17.0757 | + | 1.79473i | 0.860260 | + | 0.0904169i | ||||
\(395\) | −5.39965 | − | 3.92307i | −0.271686 | − | 0.197391i | ||||
\(396\) | 1.78383 | − | 0.311607i | 0.0896407 | − | 0.0156589i | ||||
\(397\) | 5.90865 | − | 10.2341i | 0.296547 | − | 0.513634i | −0.678797 | − | 0.734326i | \(-0.737498\pi\) |
0.975344 | + | 0.220692i | \(0.0708316\pi\) | |||||||
\(398\) | 1.27350 | + | 2.20577i | 0.0638349 | + | 0.110565i | ||||
\(399\) | 5.46960 | + | 0.676006i | 0.273823 | + | 0.0338426i | ||||
\(400\) | −0.669131 | − | 0.743145i | −0.0334565 | − | 0.0371572i | ||||
\(401\) | 2.15585 | + | 6.63504i | 0.107658 | + | 0.331338i | 0.990345 | − | 0.138623i | \(-0.0442678\pi\) |
−0.882687 | + | 0.469962i | \(0.844268\pi\) | |||||||
\(402\) | 0.861374 | − | 0.922236i | 0.0429614 | − | 0.0459970i | ||||
\(403\) | −28.0272 | + | 18.0657i | −1.39614 | + | 0.899914i | ||||
\(404\) | 13.1943i | 0.656439i | ||||||||
\(405\) | −8.10168 | + | 3.91955i | −0.402576 | + | 0.194764i | ||||
\(406\) | −4.86682 | + | 4.38210i | −0.241536 | + | 0.217480i | ||||
\(407\) | 3.89324 | + | 5.35859i | 0.192981 | + | 0.265615i | ||||
\(408\) | −1.65313 | − | 0.383042i | −0.0818419 | − | 0.0189634i | ||||
\(409\) | 12.0644 | + | 6.96539i | 0.596547 | + | 0.344417i | 0.767682 | − | 0.640831i | \(-0.221410\pi\) |
−0.171135 | + | 0.985248i | \(0.554743\pi\) | |||||||
\(410\) | 10.9755 | − | 1.15357i | 0.542039 | − | 0.0569706i | ||||
\(411\) | 2.61828 | + | 13.5274i | 0.129150 | + | 0.667258i | ||||
\(412\) | −1.67290 | + | 15.9166i | −0.0824178 | + | 0.784153i | ||||
\(413\) | −5.58372 | − | 5.02760i | −0.274757 | − | 0.247392i | ||||
\(414\) | 1.71360 | + | 0.626793i | 0.0842189 | + | 0.0308052i | ||||
\(415\) | −1.46619 | + | 6.89787i | −0.0719724 | + | 0.338603i | ||||
\(416\) | −5.85808 | + | 1.24517i | −0.287216 | + | 0.0610496i | ||||
\(417\) | −7.91296 | + | 22.9216i | −0.387499 | + | 1.12247i | ||||
\(418\) | −2.37949 | − | 0.773145i | −0.116385 | − | 0.0378157i | ||||
\(419\) | 11.8830 | + | 3.86102i | 0.580522 | + | 0.188623i | 0.584534 | − | 0.811369i | \(-0.301277\pi\) |
−0.00401257 | + | 0.999992i | \(0.501277\pi\) | |||||||
\(420\) | 0.433883 | − | 1.25684i | 0.0211713 | − | 0.0613273i | ||||
\(421\) | −4.57066 | + | 0.971523i | −0.222760 | + | 0.0473491i | −0.317940 | − | 0.948111i | \(-0.602991\pi\) |
0.0951793 | + | 0.995460i | \(0.469658\pi\) | |||||||
\(422\) | −2.83854 | + | 13.3543i | −0.138178 | + | 0.650076i | ||||
\(423\) | 27.9909 | + | 10.2384i | 1.36097 | + | 0.497808i | ||||
\(424\) | −2.90940 | − | 2.61963i | −0.141293 | − | 0.127221i | ||||
\(425\) | −0.102409 | + | 0.974352i | −0.00496754 | + | 0.0472630i | ||||
\(426\) | 2.10182 | + | 10.8591i | 0.101833 | + | 0.526125i | ||||
\(427\) | 9.00753 | − | 0.946730i | 0.435905 | − | 0.0458155i | ||||
\(428\) | 12.0086 | + | 6.93317i | 0.580458 | + | 0.335128i | ||||
\(429\) | −6.09978 | − | 1.41336i | −0.294500 | − | 0.0682378i | ||||
\(430\) | −2.21884 | − | 3.05398i | −0.107002 | − | 0.147276i | ||||
\(431\) | 12.9255 | − | 11.6382i | 0.622602 | − | 0.560593i | −0.296292 | − | 0.955097i | \(-0.595750\pi\) |
0.918894 | + | 0.394504i | \(0.129084\pi\) | |||||||
\(432\) | 4.84656 | + | 1.87372i | 0.233180 | + | 0.0901495i | ||||
\(433\) | − | 5.30566i | − | 0.254974i | −0.991840 | − | 0.127487i | \(-0.959309\pi\) | ||
0.991840 | − | 0.127487i | \(-0.0406911\pi\) | |||||||
\(434\) | −3.03255 | + | 3.01195i | −0.145567 | + | 0.144578i | ||||
\(435\) | −10.0860 | + | 10.7987i | −0.483587 | + | 0.517756i | ||||
\(436\) | 2.77250 | + | 8.53289i | 0.132779 | + | 0.408651i | ||||
\(437\) | −1.68689 | − | 1.87348i | −0.0806948 | − | 0.0896206i | ||||
\(438\) | −24.2483 | − | 2.99692i | −1.15863 | − | 0.143198i | ||||
\(439\) | 14.6196 | + | 25.3219i | 0.697757 | + | 1.20855i | 0.969243 | + | 0.246107i | \(0.0791516\pi\) |
−0.271486 | + | 0.962442i | \(0.587515\pi\) | |||||||
\(440\) | −0.301806 | + | 0.522744i | −0.0143881 | + | 0.0249208i | ||||
\(441\) | −18.9452 | + | 3.30944i | −0.902154 | + | 0.157593i | ||||
\(442\) | 4.74690 | + | 3.44882i | 0.225787 | + | 0.164044i | ||||
\(443\) | −35.7573 | − | 3.75825i | −1.69888 | − | 0.178560i | −0.795078 | − | 0.606507i | \(-0.792570\pi\) |
−0.903803 | + | 0.427948i | \(0.859237\pi\) | |||||||
\(444\) | 1.64141 | + | 18.9352i | 0.0778981 | + | 0.898623i | ||||
\(445\) | −2.41785 | + | 5.43058i | −0.114617 | + | 0.257434i | ||||
\(446\) | −11.7239 | − | 2.49199i | −0.555142 | − | 0.117999i | ||||
\(447\) | −2.14996 | + | 3.57168i | −0.101689 | + | 0.168935i | ||||
\(448\) | −0.701289 | + | 0.312234i | −0.0331328 | + | 0.0147517i | ||||
\(449\) | −5.85188 | + | 18.0102i | −0.276167 | + | 0.849956i | 0.712741 | + | 0.701428i | \(0.247454\pi\) |
−0.988908 | + | 0.148528i | \(0.952546\pi\) | |||||||
\(450\) | 0.730402 | − | 2.90973i | 0.0344315 | − | 0.137166i | ||||
\(451\) | −2.70944 | − | 6.08551i | −0.127583 | − | 0.286556i | ||||
\(452\) | −0.447385 | − | 2.10478i | −0.0210432 | − | 0.0990007i | ||||
\(453\) | 6.08799 | − | 4.25564i | 0.286039 | − | 0.199947i | ||||
\(454\) | −19.8626 | − | 8.84340i | −0.932198 | − | 0.415041i | ||||
\(455\) | −3.07630 | + | 3.41658i | −0.144219 | + | 0.160172i | ||||
\(456\) | −4.70571 | − | 5.42202i | −0.220365 | − | 0.253909i | ||||
\(457\) | 16.3923 | − | 22.5621i | 0.766800 | − | 1.05541i | −0.229818 | − | 0.973234i | \(-0.573813\pi\) |
0.996618 | − | 0.0821756i | \(-0.0261868\pi\) | |||||||
\(458\) | −1.44515 | − | 13.7497i | −0.0675273 | − | 0.642479i | ||||
\(459\) | −1.81301 | − | 4.75699i | −0.0846239 | − | 0.222037i | ||||
\(460\) | −0.526727 | + | 0.304106i | −0.0245588 | + | 0.0141790i | ||||
\(461\) | 12.7484 | − | 9.26226i | 0.593752 | − | 0.431386i | −0.249903 | − | 0.968271i | \(-0.580399\pi\) |
0.843656 | + | 0.536884i | \(0.180399\pi\) | |||||||
\(462\) | −0.802442 | − | 0.0146461i | −0.0373330 | − | 0.000681397i | ||||
\(463\) | 38.6431 | − | 12.5559i | 1.79590 | − | 0.583522i | 0.796130 | − | 0.605125i | \(-0.206877\pi\) |
0.999767 | + | 0.0216027i | \(0.00687687\pi\) | |||||||
\(464\) | 8.53109 | 0.396046 | ||||||||
\(465\) | −6.22982 | + | 7.36134i | −0.288901 | + | 0.341374i | ||||
\(466\) | −2.43348 | −0.112729 | ||||||||
\(467\) | −2.79854 | + | 0.909299i | −0.129501 | + | 0.0420774i | −0.373050 | − | 0.927811i | \(-0.621688\pi\) |
0.243550 | + | 0.969888i | \(0.421688\pi\) | |||||||
\(468\) | −12.9044 | − | 12.5014i | −0.596505 | − | 0.577878i | ||||
\(469\) | −0.452482 | + | 0.328748i | −0.0208937 | + | 0.0151802i | ||||
\(470\) | −8.60386 | + | 4.96744i | −0.396867 | + | 0.229131i | ||||
\(471\) | −19.3550 | + | 5.90056i | −0.891830 | + | 0.271883i | ||||
\(472\) | 1.02310 | + | 9.73413i | 0.0470919 | + | 0.448050i | ||||
\(473\) | −1.33932 | + | 1.84342i | −0.0615821 | + | 0.0847605i | ||||
\(474\) | −8.73069 | + | 7.57728i | −0.401014 | + | 0.348036i | ||||
\(475\) | −2.77352 | + | 3.08030i | −0.127258 | + | 0.141334i | ||||
\(476\) | 0.687067 | + | 0.305902i | 0.0314916 | + | 0.0140210i | ||||
\(477\) | 1.65311 | − | 11.6280i | 0.0756906 | − | 0.532411i | ||||
\(478\) | 5.40512 | + | 25.4291i | 0.247225 | + | 1.16310i | ||||
\(479\) | 3.55451 | + | 7.98357i | 0.162410 | + | 0.364779i | 0.976358 | − | 0.216159i | \(-0.0693528\pi\) |
−0.813948 | + | 0.580937i | \(0.802686\pi\) | |||||||
\(480\) | −1.51555 | + | 0.838508i | −0.0691753 | + | 0.0382725i | ||||
\(481\) | 20.3080 | − | 62.5016i | 0.925965 | − | 2.84983i | ||||
\(482\) | 12.9711 | − | 5.77512i | 0.590819 | − | 0.263050i | ||||
\(483\) | −0.692852 | − | 0.417059i | −0.0315259 | − | 0.0189768i | ||||
\(484\) | −10.4032 | − | 2.21128i | −0.472874 | − | 0.100513i | ||||
\(485\) | −3.94875 | + | 8.86904i | −0.179304 | + | 0.402722i | ||||
\(486\) | 3.44612 | + | 15.2028i | 0.156319 | + | 0.689612i | ||||
\(487\) | 26.6813 | + | 2.80431i | 1.20904 | + | 0.127076i | 0.687523 | − | 0.726163i | \(-0.258698\pi\) |
0.521521 | + | 0.853238i | \(0.325365\pi\) | |||||||
\(488\) | −9.54513 | − | 6.93495i | −0.432088 | − | 0.313930i | ||||
\(489\) | 5.17356 | − | 6.85418i | 0.233957 | − | 0.309957i | ||||
\(490\) | 3.20535 | − | 5.55183i | 0.144803 | − | 0.250806i | ||||
\(491\) | 17.5497 | + | 30.3970i | 0.792007 | + | 1.37180i | 0.924722 | + | 0.380643i | \(0.124297\pi\) |
−0.132715 | + | 0.991154i | \(0.542369\pi\) | |||||||
\(492\) | 2.34462 | − | 18.9704i | 0.105703 | − | 0.855253i | ||||
\(493\) | −5.59264 | − | 6.21126i | −0.251880 | − | 0.279741i | ||||
\(494\) | 7.67102 | + | 23.6090i | 0.345136 | + | 1.06222i | ||||
\(495\) | −1.80663 | + | 0.123440i | −0.0812018 | + | 0.00554820i | ||||
\(496\) | 5.56109 | − | 0.272450i | 0.249701 | − | 0.0122334i | ||||
\(497\) | − | 4.90215i | − | 0.219891i | ||||||
\(498\) | 11.0659 | + | 5.17084i | 0.495874 | + | 0.231711i | ||||
\(499\) | −11.6663 | + | 10.5043i | −0.522253 | + | 0.470239i | −0.887589 | − | 0.460637i | \(-0.847621\pi\) |
0.365335 | + | 0.930876i | \(0.380954\pi\) | |||||||
\(500\) | 0.587785 | + | 0.809017i | 0.0262866 | + | 0.0361803i | ||||
\(501\) | −3.51493 | + | 15.1697i | −0.157036 | + | 0.677732i | ||||
\(502\) | 10.1805 | + | 5.87769i | 0.454376 | + | 0.262334i | ||||
\(503\) | −24.8068 | + | 2.60730i | −1.10608 | + | 0.116254i | −0.639916 | − | 0.768445i | \(-0.721031\pi\) |
−0.466164 | + | 0.884698i | \(0.654364\pi\) | |||||||
\(504\) | −1.95108 | − | 1.22350i | −0.0869081 | − | 0.0544989i | ||||
\(505\) | 1.37918 | − | 13.1220i | 0.0613725 | − | 0.583920i | ||||
\(506\) | 0.272827 | + | 0.245654i | 0.0121286 | + | 0.0109207i | ||||
\(507\) | 15.4469 | + | 36.4715i | 0.686023 | + | 1.61975i | ||||
\(508\) | −2.04634 | + | 9.62728i | −0.0907917 | + | 0.427141i | ||||
\(509\) | −24.6479 | + | 5.23906i | −1.09250 | + | 0.232217i | −0.718719 | − | 0.695301i | \(-0.755271\pi\) |
−0.373778 | + | 0.927518i | \(0.621938\pi\) | |||||||
\(510\) | 1.60403 | + | 0.553742i | 0.0710277 | + | 0.0245201i | ||||
\(511\) | 10.2988 | + | 3.34627i | 0.455591 | + | 0.148030i | ||||
\(512\) | 0.951057 | + | 0.309017i | 0.0420312 | + | 0.0136568i | ||||
\(513\) | 5.62410 | − | 20.7906i | 0.248310 | − | 0.917926i | ||||
\(514\) | 19.8076 | − | 4.21023i | 0.873674 | − | 0.185705i | ||||
\(515\) | 3.32747 | − | 15.6545i | 0.146626 | − | 0.689820i | ||||
\(516\) | −6.02062 | + | 2.54994i | −0.265043 | + | 0.112255i | ||||
\(517\) | 4.45651 | + | 4.01266i | 0.195997 | + | 0.176477i | ||||
\(518\) | 0.880513 | − | 8.37752i | 0.0386875 | − | 0.368087i | ||||
\(519\) | 15.5165 | − | 3.00329i | 0.681101 | − | 0.131830i | ||||
\(520\) | 5.95614 | − | 0.626016i | 0.261194 | − | 0.0274526i | ||||
\(521\) | 31.1524 | + | 17.9859i | 1.36481 | + | 0.787975i | 0.990260 | − | 0.139230i | \(-0.0444629\pi\) |
0.374553 | + | 0.927206i | \(0.377796\pi\) | |||||||
\(522\) | 14.2778 | + | 21.2406i | 0.624921 | + | 0.929674i | ||||
\(523\) | −2.45922 | − | 3.38483i | −0.107534 | − | 0.148008i | 0.751858 | − | 0.659325i | \(-0.229158\pi\) |
−0.859392 | + | 0.511317i | \(0.829158\pi\) | |||||||
\(524\) | −10.4345 | + | 9.39524i | −0.455832 | + | 0.410433i | ||||
\(525\) | −0.562882 | + | 1.20460i | −0.0245662 | + | 0.0525729i | ||||
\(526\) | − | 21.9529i | − | 0.957191i | ||||||
\(527\) | −3.84399 | − | 3.87028i | −0.167447 | − | 0.168592i | ||||
\(528\) | 0.764053 | + | 0.713630i | 0.0332512 | + | 0.0310568i | ||||
\(529\) | −6.99308 | − | 21.5225i | −0.304047 | − | 0.935760i | ||||
\(530\) | 2.61963 | + | 2.90940i | 0.113790 | + | 0.126376i | ||||
\(531\) | −22.5236 | + | 18.8385i | −0.977441 | + | 0.817520i | ||||
\(532\) | 1.59095 | + | 2.75561i | 0.0689765 | + | 0.119471i | ||||
\(533\) | −33.0468 | + | 57.2387i | −1.43142 | + | 2.47928i | ||||
\(534\) | 8.21797 | + | 6.20295i | 0.355626 | + | 0.268428i | ||||
\(535\) | −11.2181 | − | 8.15043i | −0.485001 | − | 0.352374i | ||||
\(536\) | 0.724588 | + | 0.0761573i | 0.0312974 | + | 0.00328949i | ||||
\(537\) | −14.8273 | + | 1.28532i | −0.639845 | + | 0.0554656i | ||||
\(538\) | 6.53561 | − | 14.6792i | 0.281770 | − | 0.632867i | ||||
\(539\) | −3.78502 | − | 0.804531i | −0.163032 | − | 0.0346536i | ||||
\(540\) | −4.62416 | − | 2.37006i | −0.198992 | − | 0.101991i | ||||
\(541\) | 25.5168 | − | 11.3608i | 1.09705 | − | 0.488440i | 0.223271 | − | 0.974756i | \(-0.428327\pi\) |
0.873782 | + | 0.486317i | \(0.161660\pi\) | |||||||
\(542\) | 0.197076 | − | 0.606539i | 0.00846515 | − | 0.0260531i | ||||
\(543\) | −16.4319 | − | 29.6997i | −0.705160 | − | 1.27454i | ||||
\(544\) | −0.398488 | − | 0.895018i | −0.0170850 | − | 0.0383736i | ||||
\(545\) | −1.86539 | − | 8.77595i | −0.0799043 | − | 0.375920i | ||||
\(546\) | 4.56221 | + | 6.52657i | 0.195245 | + | 0.279312i | ||||
\(547\) | −5.66523 | − | 2.52232i | −0.242228 | − | 0.107847i | 0.282032 | − | 0.959405i | \(-0.408991\pi\) |
−0.524260 | + | 0.851558i | \(0.675658\pi\) | |||||||
\(548\) | −5.32294 | + | 5.91172i | −0.227385 | + | 0.252536i | ||||
\(549\) | 1.29163 | − | 35.3717i | 0.0551254 | − | 1.50963i | ||||
\(550\) | 0.354795 | − | 0.488333i | 0.0151285 | − | 0.0208226i | ||||
\(551\) | −3.69623 | − | 35.1673i | −0.157465 | − | 1.49818i | ||||
\(552\) | 0.307198 | + | 1.00767i | 0.0130752 | + | 0.0428892i | ||||
\(553\) | 4.43717 | − | 2.56180i | 0.188687 | − | 0.108939i | ||||
\(554\) | 2.64361 | − | 1.92069i | 0.112316 | − | 0.0816025i | ||||
\(555\) | 0.346840 | − | 19.0030i | 0.0147226 | − | 0.806633i | ||||
\(556\) | −13.3149 | + | 4.32629i | −0.564680 | + | 0.183476i | ||||
\(557\) | −17.7658 | −0.752762 | −0.376381 | − | 0.926465i | \(-0.622832\pi\) | ||||
−0.376381 | + | 0.926465i | \(0.622832\pi\) | |||||||
\(558\) | 9.98547 | + | 13.3899i | 0.422719 | + | 0.566841i | ||||
\(559\) | 22.6078 | 0.956209 | ||||||||
\(560\) | 0.730085 | − | 0.237219i | 0.0308517 | − | 0.0100243i | ||||
\(561\) | 0.0186920 | − | 1.02411i | 0.000789177 | − | 0.0432381i | ||||
\(562\) | −4.55686 | + | 3.31075i | −0.192220 | + | 0.139656i | ||||
\(563\) | 29.2058 | − | 16.8620i | 1.23088 | − | 0.710648i | 0.263665 | − | 0.964614i | \(-0.415069\pi\) |
0.967213 | + | 0.253967i | \(0.0817354\pi\) | |||||||
\(564\) | 5.01794 | + | 16.4598i | 0.211293 | + | 0.693084i | ||||
\(565\) | 0.224925 | + | 2.14002i | 0.00946266 | + | 0.0900312i | ||||
\(566\) | 11.9717 | − | 16.4777i | 0.503209 | − | 0.692608i | ||||
\(567\) | −0.219117 | − | 6.90544i | −0.00920203 | − | 0.290001i | ||||
\(568\) | −4.27297 | + | 4.74562i | −0.179290 | + | 0.199122i | ||||
\(569\) | 12.3040 | + | 5.47810i | 0.515811 | + | 0.229654i | 0.648097 | − | 0.761558i | \(-0.275565\pi\) |
−0.132286 | + | 0.991212i | \(0.542232\pi\) | |||||||
\(570\) | 4.11318 | + | 5.88420i | 0.172282 | + | 0.246462i | ||||
\(571\) | 6.91088 | + | 32.5131i | 0.289211 | + | 1.36063i | 0.847416 | + | 0.530929i | \(0.178157\pi\) |
−0.558205 | + | 0.829703i | \(0.688510\pi\) | |||||||
\(572\) | −1.47036 | − | 3.30248i | −0.0614787 | − | 0.138083i | ||||
\(573\) | −11.2785 | − | 20.3852i | −0.471165 | − | 0.851602i | ||||
\(574\) | −2.61793 | + | 8.05716i | −0.109270 | + | 0.336299i | ||||
\(575\) | 0.555630 | − | 0.247382i | 0.0231714 | − | 0.0103166i | ||||
\(576\) | 0.822317 | + | 2.88510i | 0.0342632 | + | 0.120212i | ||||
\(577\) | 33.6546 | + | 7.15351i | 1.40106 | + | 0.297804i | 0.845635 | − | 0.533762i | \(-0.179222\pi\) |
0.555425 | + | 0.831567i | \(0.312556\pi\) | |||||||
\(578\) | 6.52412 | − | 14.6534i | 0.271367 | − | 0.609501i | ||||
\(579\) | −42.6420 | + | 3.69647i | −1.77214 | + | 0.153620i | ||||
\(580\) | −8.48436 | − | 0.891742i | −0.352294 | − | 0.0370276i | ||||
\(581\) | −4.37961 | − | 3.18197i | −0.181697 | − | 0.132011i | ||||
\(582\) | 13.4213 | + | 10.1305i | 0.556331 | + | 0.419921i | ||||
\(583\) | 1.18157 | − | 2.04653i | 0.0489355 | − | 0.0847588i | ||||
\(584\) | −7.05313 | − | 12.2164i | −0.291861 | − | 0.505517i | ||||
\(585\) | 11.5269 | + | 13.7818i | 0.476580 | + | 0.569807i | ||||
\(586\) | 5.93923 | + | 6.59618i | 0.245347 | + | 0.272486i | ||||
\(587\) | 3.10175 | + | 9.54622i | 0.128023 | + | 0.394015i | 0.994440 | − | 0.105307i | \(-0.0335826\pi\) |
−0.866417 | + | 0.499322i | \(0.833583\pi\) | |||||||
\(588\) | −8.11467 | − | 7.57915i | −0.334643 | − | 0.312559i | ||||
\(589\) | −3.53254 | − | 22.8062i | −0.145556 | − | 0.939712i | ||||
\(590\) | − | 9.78775i | − | 0.402955i | ||||||
\(591\) | −12.5896 | + | 26.9425i | −0.517869 | + | 1.10827i | ||||
\(592\) | −8.15469 | + | 7.34252i | −0.335156 | + | 0.301776i | ||||
\(593\) | 15.7259 | + | 21.6449i | 0.645786 | + | 0.888848i | 0.998908 | − | 0.0467297i | \(-0.0148800\pi\) |
−0.353122 | + | 0.935577i | \(0.614880\pi\) | |||||||
\(594\) | −0.498053 | + | 3.09667i | −0.0204353 | + | 0.127058i | ||||
\(595\) | −0.651327 | − | 0.376044i | −0.0267018 | − | 0.0154163i | ||||
\(596\) | −2.39370 | + | 0.251587i | −0.0980496 | + | 0.0103054i | ||||
\(597\) | −4.33115 | + | 0.838311i | −0.177262 | + | 0.0343098i | ||||
\(598\) | 0.380751 | − | 3.62260i | 0.0155701 | − | 0.148139i | ||||
\(599\) | 0.788528 | + | 0.709994i | 0.0322184 | + | 0.0290096i | 0.685083 | − | 0.728465i | \(-0.259766\pi\) |
−0.652864 | + | 0.757475i | \(0.726433\pi\) | |||||||
\(600\) | 1.59490 | − | 0.675496i | 0.0651115 | − | 0.0275770i | ||||
\(601\) | −2.82272 | + | 13.2799i | −0.115141 | + | 0.541697i | 0.882330 | + | 0.470630i | \(0.155973\pi\) |
−0.997472 | + | 0.0710661i | \(0.977360\pi\) | |||||||
\(602\) | 2.83452 | − | 0.602496i | 0.115526 | − | 0.0245559i | ||||
\(603\) | 1.02307 | + | 1.93153i | 0.0416625 | + | 0.0786578i | ||||
\(604\) | 4.07862 | + | 1.32522i | 0.165957 | + | 0.0539226i | ||||
\(605\) | 10.1151 | + | 3.28660i | 0.411238 | + | 0.133619i | ||||
\(606\) | −21.6021 | − | 7.45746i | −0.877526 | − | 0.302939i | ||||
\(607\) | −2.96992 | + | 0.631277i | −0.120545 | + | 0.0256227i | −0.267789 | − | 0.963477i | \(-0.586293\pi\) |
0.147244 | + | 0.989100i | \(0.452960\pi\) | |||||||
\(608\) | 0.861785 | − | 4.05438i | 0.0349500 | − | 0.164427i | ||||
\(609\) | −4.42379 | − | 10.4449i | −0.179261 | − | 0.423250i | ||||
\(610\) | 8.76795 | + | 7.89469i | 0.355004 | + | 0.319647i | ||||
\(611\) | 6.21940 | − | 59.1736i | 0.251610 | − | 2.39391i | ||||
\(612\) | 1.56148 | − | 2.49006i | 0.0631193 | − | 0.100655i | ||||
\(613\) | 25.2070 | − | 2.64936i | 1.01810 | − | 0.107007i | 0.419253 | − | 0.907869i | \(-0.362292\pi\) |
0.598848 | + | 0.800863i | \(0.295625\pi\) | |||||||
\(614\) | 4.58205 | + | 2.64545i | 0.184917 | + | 0.106762i | ||||
\(615\) | −4.31472 | + | 18.6214i | −0.173986 | + | 0.750889i | ||||
\(616\) | −0.272361 | − | 0.374872i | −0.0109737 | − | 0.0151040i | ||||
\(617\) | 5.39004 | − | 4.85322i | 0.216995 | − | 0.195383i | −0.553463 | − | 0.832874i | \(-0.686694\pi\) |
0.770458 | + | 0.637490i | \(0.220027\pi\) | |||||||
\(618\) | −25.1137 | − | 11.7351i | −1.01022 | − | 0.472053i | ||||
\(619\) | − | 8.74465i | − | 0.351477i | −0.984437 | − | 0.175739i | \(-0.943769\pi\) | ||
0.984437 | − | 0.175739i | \(-0.0562313\pi\) | |||||||
\(620\) | −5.55911 | − | 0.310335i | −0.223259 | − | 0.0124634i | ||||
\(621\) | −1.99475 | + | 2.45130i | −0.0800464 | + | 0.0983675i | ||||
\(622\) | 3.05067 | + | 9.38900i | 0.122321 | + | 0.376465i | ||||
\(623\) | −3.05347 | − | 3.39122i | −0.122335 | − | 0.135867i | ||||
\(624\) | 1.27237 | − | 10.2948i | 0.0509357 | − | 0.412123i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | −7.21867 | + | 12.5031i | −0.288516 | + | 0.499724i | ||||
\(627\) | 2.61072 | − | 3.45881i | 0.104262 | − | 0.138132i | ||||
\(628\) | −9.45122 | − | 6.86671i | −0.377145 | − | 0.274012i | ||||
\(629\) | 10.6918 | + | 1.12375i | 0.426309 | + | 0.0448069i | ||||
\(630\) | 1.81250 | + | 1.42074i | 0.0722119 | + | 0.0566036i | ||||
\(631\) | −17.7257 | + | 39.8127i | −0.705651 | + | 1.58492i | 0.101679 | + | 0.994817i | \(0.467579\pi\) |
−0.807330 | + | 0.590100i | \(0.799088\pi\) | |||||||
\(632\) | −6.52848 | − | 1.38767i | −0.259689 | − | 0.0551986i | ||||
\(633\) | −20.2598 | − | 12.1953i | −0.805253 | − | 0.484718i | ||||
\(634\) | 6.31898 | − | 2.81339i | 0.250959 | − | 0.111734i | ||||
\(635\) | 3.04146 | − | 9.36064i | 0.120696 | − | 0.371466i | ||||
\(636\) | 5.93337 | − | 3.28274i | 0.235273 | − | 0.130169i | ||||
\(637\) | 15.6160 | + | 35.0741i | 0.618729 | + | 1.38969i | ||||
\(638\) | 1.07064 | + | 5.03695i | 0.0423869 | + | 0.199415i | ||||
\(639\) | −18.9669 | − | 2.69644i | −0.750318 | − | 0.106670i | ||||
\(640\) | −0.913545 | − | 0.406737i | −0.0361111 | − | 0.0160777i | ||||
\(641\) | 3.20094 | − | 3.55500i | 0.126429 | − | 0.140414i | −0.676606 | − | 0.736345i | \(-0.736550\pi\) |
0.803036 | + | 0.595931i | \(0.203217\pi\) | |||||||
\(642\) | −18.1386 | + | 15.7423i | −0.715872 | + | 0.621298i | ||||
\(643\) | 9.33028 | − | 12.8420i | 0.367950 | − | 0.506440i | −0.584392 | − | 0.811471i | \(-0.698667\pi\) |
0.952342 | + | 0.305031i | \(0.0986670\pi\) | |||||||
\(644\) | −0.0488042 | − | 0.464341i | −0.00192315 | − | 0.0182976i | ||||
\(645\) | 6.25418 | − | 1.90665i | 0.246258 | − | 0.0750742i | ||||
\(646\) | −3.51684 | + | 2.03045i | −0.138368 | + | 0.0798868i | ||||
\(647\) | 10.8392 | − | 7.87517i | 0.426135 | − | 0.309605i | −0.353967 | − | 0.935258i | \(-0.615167\pi\) |
0.780101 | + | 0.625653i | \(0.215167\pi\) | |||||||
\(648\) | −5.80703 | + | 6.87593i | −0.228122 | + | 0.270112i | ||||
\(649\) | −5.61885 | + | 1.82568i | −0.220559 | + | 0.0716640i | ||||
\(650\) | −5.98895 | −0.234906 | ||||||||
\(651\) | −3.21727 | − | 6.66737i | −0.126095 | − | 0.261315i | ||||
\(652\) | 4.95801 | 0.194171 | ||||||||
\(653\) | 10.0828 | − | 3.27611i | 0.394571 | − | 0.128204i | −0.105010 | − | 0.994471i | \(-0.533487\pi\) |
0.499581 | + | 0.866267i | \(0.333487\pi\) | |||||||
\(654\) | −15.5374 | − | 0.283586i | −0.607560 | − | 0.0110891i | ||||
\(655\) | 11.3594 | − | 8.25307i | 0.443848 | − | 0.322474i | ||||
\(656\) | 9.55739 | − | 5.51796i | 0.373153 | − | 0.215440i | ||||
\(657\) | 18.6119 | − | 38.0063i | 0.726119 | − | 1.48277i | ||||
\(658\) | −0.797195 | − | 7.58480i | −0.0310779 | − | 0.295686i | ||||
\(659\) | −28.8165 | + | 39.6624i | −1.12253 | + | 1.54503i | −0.320995 | + | 0.947081i | \(0.604017\pi\) |
−0.801535 | + | 0.597948i | \(0.795983\pi\) | |||||||
\(660\) | −0.685273 | − | 0.789586i | −0.0266742 | − | 0.0307346i | ||||
\(661\) | −5.57231 | + | 6.18868i | −0.216738 | + | 0.240712i | −0.841703 | − | 0.539941i | \(-0.818447\pi\) |
0.624965 | + | 0.780653i | \(0.285113\pi\) | |||||||
\(662\) | −12.2370 | − | 5.44825i | −0.475604 | − | 0.211752i | ||||
\(663\) | −8.32951 | + | 5.82250i | −0.323491 | + | 0.226127i | ||||
\(664\) | 1.46619 | + | 6.89787i | 0.0568991 | + | 0.267689i | ||||
\(665\) | −1.29420 | − | 2.90681i | −0.0501868 | − | 0.112721i | ||||
\(666\) | −31.9291 | − | 8.01486i | −1.23723 | − | 0.310570i | ||||
\(667\) | −1.60340 | + | 4.93476i | −0.0620840 | + | 0.191075i | ||||
\(668\) | −8.21302 | + | 3.65667i | −0.317771 | + | 0.141481i | ||||
\(669\) | 10.7064 | − | 17.7863i | 0.413932 | − | 0.687658i | ||||
\(670\) | −0.712658 | − | 0.151480i | −0.0275324 | − | 0.00585219i | ||||
\(671\) | 2.89665 | − | 6.50598i | 0.111824 | − | 0.251161i | ||||
\(672\) | −0.114829 | − | 1.32465i | −0.00442962 | − | 0.0510996i | ||||
\(673\) | −14.3216 | − | 1.50526i | −0.552057 | − | 0.0580235i | −0.175607 | − | 0.984460i | \(-0.556189\pi\) |
−0.376450 | + | 0.926437i | \(0.622855\pi\) | |||||||
\(674\) | 5.53778 | + | 4.02343i | 0.213307 | + | 0.154977i | ||||
\(675\) | 4.35108 | + | 2.84043i | 0.167473 | + | 0.109328i | ||||
\(676\) | −11.4338 | + | 19.8039i | −0.439761 | + | 0.761688i | ||||
\(677\) | 18.8427 | + | 32.6365i | 0.724184 | + | 1.25432i | 0.959309 | + | 0.282359i | \(0.0911168\pi\) |
−0.235125 | + | 0.971965i | \(0.575550\pi\) | |||||||
\(678\) | 3.69889 | + | 0.457158i | 0.142055 | + | 0.0175570i | ||||
\(679\) | −4.98683 | − | 5.53844i | −0.191377 | − | 0.212546i | ||||
\(680\) | 0.302750 | + | 0.931768i | 0.0116099 | + | 0.0357317i | ||||
\(681\) | 25.7052 | − | 27.5215i | 0.985025 | − | 1.05462i | ||||
\(682\) | 0.858768 | + | 3.24920i | 0.0328839 | + | 0.124418i | ||||
\(683\) | − | 4.55653i | − | 0.174351i | −0.996193 | − | 0.0871755i | \(-0.972216\pi\) | ||
0.996193 | − | 0.0871755i | \(-0.0277841\pi\) | |||||||
\(684\) | 11.5368 | − | 4.63981i | 0.441121 | − | 0.177408i | ||||
\(685\) | 5.91172 | − | 5.32294i | 0.225875 | − | 0.203379i | ||||
\(686\) | 6.05114 | + | 8.32868i | 0.231034 | + | 0.317991i | ||||
\(687\) | 23.3283 | + | 5.40533i | 0.890028 | + | 0.206226i | ||||
\(688\) | −3.26918 | − | 1.88746i | −0.124636 | − | 0.0719588i | ||||
\(689\) | −23.3182 | + | 2.45084i | −0.888353 | + | 0.0933696i | ||||
\(690\) | −0.200185 | − | 1.03426i | −0.00762091 | − | 0.0393736i | ||||
\(691\) | 1.85137 | − | 17.6146i | 0.0704294 | − | 0.670091i | −0.901171 | − | 0.433464i | \(-0.857291\pi\) |
0.971600 | − | 0.236627i | \(-0.0760420\pi\) | |||||||
\(692\) | 6.78101 | + | 6.10565i | 0.257775 | + | 0.232102i | ||||
\(693\) | 0.477524 | − | 1.30551i | 0.0181396 | − | 0.0495922i | ||||
\(694\) | 7.42275 | − | 34.9213i | 0.281764 | − | 1.32559i | ||||
\(695\) | 13.6942 | − | 2.91080i | 0.519452 | − | 0.110413i | ||||
\(696\) | −4.82182 | + | 13.9674i | −0.182770 | + | 0.529434i | ||||
\(697\) | −10.2829 | − | 3.34112i | −0.389493 | − | 0.126554i | ||||
\(698\) | 3.40256 | + | 1.10556i | 0.128789 | + | 0.0418460i | ||||
\(699\) | 1.37542 | − | 3.98418i | 0.0520230 | − | 0.150696i | ||||
\(700\) | −0.750882 | + | 0.159605i | −0.0283807 | + | 0.00603250i | ||||
\(701\) | 2.71288 | − | 12.7631i | 0.102464 | − | 0.482055i | −0.896754 | − | 0.442528i | \(-0.854082\pi\) |
0.999219 | − | 0.0395270i | \(-0.0125851\pi\) | |||||||
\(702\) | 27.7614 | − | 14.0617i | 1.04779 | − | 0.530723i | ||||
\(703\) | 33.8008 | + | 30.4344i | 1.27482 | + | 1.14786i | ||||
\(704\) | −0.0630947 | + | 0.600306i | −0.00237797 | + | 0.0226249i | ||||
\(705\) | −3.26993 | − | 16.8942i | −0.123153 | − | 0.636272i | ||||
\(706\) | 4.71512 | − | 0.495579i | 0.177456 | − | 0.0186513i | ||||
\(707\) | 8.77168 | + | 5.06433i | 0.329893 | + | 0.190464i | ||||
\(708\) | −16.5153 | − | 3.82672i | −0.620684 | − | 0.143817i | ||||
\(709\) | 12.3468 | + | 16.9940i | 0.463695 | + | 0.638221i | 0.975270 | − | 0.221017i | \(-0.0709377\pi\) |
−0.511575 | + | 0.859239i | \(0.670938\pi\) | |||||||
\(710\) | 4.74562 | − | 4.27297i | 0.178100 | − | 0.160362i | ||||
\(711\) | −7.47116 | − | 18.5769i | −0.280190 | − | 0.696689i | ||||
\(712\) | 5.94451i | 0.222780i | ||||||||
\(713\) | −0.887599 | + | 3.26799i | −0.0332409 | + | 0.122387i | ||||
\(714\) | −0.889167 | + | 0.951993i | −0.0332762 | + | 0.0356275i | ||||
\(715\) | 1.11710 | + | 3.43808i | 0.0417771 | + | 0.128577i | ||||
\(716\) | −5.74960 | − | 6.38558i | −0.214873 | − | 0.238640i | ||||
\(717\) | −44.6884 | − | 5.52319i | −1.66892 | − | 0.206267i | ||||
\(718\) | 11.2972 | + | 19.5673i | 0.421606 | + | 0.730243i | ||||
\(719\) | 22.0550 | − | 38.2004i | 0.822512 | − | 1.42463i | −0.0812933 | − | 0.996690i | \(-0.525905\pi\) |
0.903806 | − | 0.427943i | \(-0.140762\pi\) | |||||||
\(720\) | −0.516237 | − | 2.95525i | −0.0192390 | − | 0.110136i | ||||
\(721\) | 9.93940 | + | 7.22139i | 0.370162 | + | 0.268939i | ||||
\(722\) | 1.80937 | + | 0.190173i | 0.0673378 | + | 0.00707749i | ||||
\(723\) | 2.12389 | + | 24.5010i | 0.0789884 | + | 0.911200i | ||||
\(724\) | 7.97065 | − | 17.9024i | 0.296227 | − | 0.665336i | ||||
\(725\) | 8.34467 | + | 1.77371i | 0.309913 | + | 0.0658741i | ||||
\(726\) | 9.50034 | − | 15.7827i | 0.352591 | − | 0.585752i | ||||
\(727\) | −8.76250 | + | 3.90132i | −0.324983 | + | 0.144692i | −0.562742 | − | 0.826632i | \(-0.690254\pi\) |
0.237759 | + | 0.971324i | \(0.423587\pi\) | |||||||
\(728\) | −1.42069 | + | 4.37244i | −0.0526544 | + | 0.162054i | ||||
\(729\) | −26.8383 | − | 2.95057i | −0.994011 | − | 0.109280i | ||||
\(730\) | 5.73753 | + | 12.8867i | 0.212356 | + | 0.476958i | ||||
\(731\) | 0.768933 | + | 3.61754i | 0.0284400 | + | 0.133800i | ||||
\(732\) | 16.7491 | − | 11.7080i | 0.619065 | − | 0.432739i | ||||
\(733\) | 8.69275 | + | 3.87026i | 0.321074 | + | 0.142951i | 0.560944 | − | 0.827854i | \(-0.310438\pi\) |
−0.239870 | + | 0.970805i | \(0.577105\pi\) | |||||||
\(734\) | −14.0731 | + | 15.6298i | −0.519448 | + | 0.576905i | ||||
\(735\) | 7.27798 | + | 8.38584i | 0.268452 | + | 0.309316i | ||||
\(736\) | −0.357498 | + | 0.492054i | −0.0131776 | + | 0.0181374i | ||||
\(737\) | 0.0459695 | + | 0.437371i | 0.00169331 | + | 0.0161108i | ||||
\(738\) | 29.7339 | + | 14.5609i | 1.09452 | + | 0.535993i | ||||
\(739\) | 24.7823 | − | 14.3080i | 0.911630 | − | 0.526330i | 0.0306750 | − | 0.999529i | \(-0.490234\pi\) |
0.880955 | + | 0.473199i | \(0.156901\pi\) | |||||||
\(740\) | 8.87752 | − | 6.44990i | 0.326344 | − | 0.237103i | ||||
\(741\) | −42.9892 | − | 0.784633i | −1.57925 | − | 0.0288242i | ||||
\(742\) | −2.85827 | + | 0.928708i | −0.104930 | + | 0.0340940i | ||||
\(743\) | 31.0820 | 1.14029 | 0.570144 | − | 0.821545i | \(-0.306888\pi\) | ||||
0.570144 | + | 0.821545i | \(0.306888\pi\) | |||||||
\(744\) | −2.69709 | + | 9.25882i | −0.0988802 | + | 0.339445i | ||||
\(745\) | 2.40688 | 0.0881813 | ||||||||
\(746\) | −9.28974 | + | 3.01842i | −0.340122 | + | 0.110512i | ||||
\(747\) | −14.7204 | + | 15.1949i | −0.538590 | + | 0.555951i | ||||
\(748\) | 0.478429 | − | 0.347599i | 0.0174931 | − | 0.0127095i | ||||
\(749\) | 9.21849 | − | 5.32230i | 0.336836 | − | 0.194473i | ||||
\(750\) | −1.65677 | + | 0.505083i | −0.0604967 | + | 0.0184430i | ||||
\(751\) | −3.16153 | − | 30.0799i | −0.115366 | − | 1.09763i | −0.887065 | − | 0.461644i | \(-0.847260\pi\) |
0.771699 | − | 0.635988i | \(-0.219407\pi\) | |||||||
\(752\) | −5.83958 | + | 8.03749i | −0.212948 | + | 0.293097i | ||||
\(753\) | −15.3772 | + | 13.3457i | −0.560377 | + | 0.486345i | ||||
\(754\) | 34.1874 | − | 37.9690i | 1.24503 | − | 1.38275i | ||||
\(755\) | −3.91775 | − | 1.74430i | −0.142582 | − | 0.0634815i | ||||
\(756\) | 3.10592 | − | 2.50286i | 0.112961 | − | 0.0910280i | ||||
\(757\) | −4.20373 | − | 19.7770i | −0.152787 | − | 0.718807i | −0.986120 | − | 0.166035i | \(-0.946903\pi\) |
0.833333 | − | 0.552772i | \(-0.186430\pi\) | |||||||
\(758\) | −10.8203 | − | 24.3028i | −0.393011 | − | 0.882716i | ||||
\(759\) | −0.556398 | + | 0.307837i | −0.0201960 | + | 0.0111738i | ||||
\(760\) | −1.28086 | + | 3.94209i | −0.0464617 | + | 0.142995i | ||||
\(761\) | 4.50194 | − | 2.00439i | 0.163195 | − | 0.0726592i | −0.323513 | − | 0.946224i | \(-0.604864\pi\) |
0.486708 | + | 0.873564i | \(0.338197\pi\) | |||||||
\(762\) | −14.6055 | − | 8.79173i | −0.529102 | − | 0.318491i | ||||
\(763\) | 6.73692 | + | 1.43198i | 0.243893 | + | 0.0518410i | ||||
\(764\) | 5.47087 | − | 12.2878i | 0.197929 | − | 0.444556i | ||||
\(765\) | −1.81321 | + | 2.31320i | −0.0655569 | + | 0.0836340i | ||||
\(766\) | −27.1040 | − | 2.84875i | −0.979309 | − | 0.102929i | ||||
\(767\) | 47.4232 | + | 34.4550i | 1.71235 | + | 1.24410i | ||||
\(768\) | −1.04348 | + | 1.38245i | −0.0376532 | + | 0.0498847i | ||||
\(769\) | 27.2147 | − | 47.1372i | 0.981387 | − | 1.69981i | 0.324383 | − | 0.945926i | \(-0.394843\pi\) |
0.657004 | − | 0.753887i | \(-0.271823\pi\) | |||||||
\(770\) | 0.231684 | + | 0.401288i | 0.00834930 | + | 0.0144614i | ||||
\(771\) | −4.30219 | + | 34.8093i | −0.154940 | + | 1.25363i | ||||
\(772\) | −16.5354 | − | 18.3644i | −0.595120 | − | 0.660948i | ||||
\(773\) | 7.77843 | + | 23.9396i | 0.279771 | + | 0.861046i | 0.987918 | + | 0.154981i | \(0.0495315\pi\) |
−0.708147 | + | 0.706065i | \(0.750468\pi\) | |||||||
\(774\) | −0.771977 | − | 11.2984i | −0.0277481 | − | 0.406113i | ||||
\(775\) | 5.49622 | + | 0.889720i | 0.197430 | + | 0.0319597i | ||||
\(776\) | 9.70837i | 0.348510i | ||||||||
\(777\) | 13.2183 | + | 6.17662i | 0.474204 | + | 0.221585i | ||||
\(778\) | 16.3389 | − | 14.7116i | 0.585777 | − | 0.527436i | ||||
\(779\) | −26.8873 | − | 37.0072i | −0.963337 | − | 1.32592i | ||||
\(780\) | −2.34151 | + | 10.1054i | −0.0838394 | + | 0.361833i | ||||
\(781\) | −3.33817 | − | 1.92729i | −0.119449 | − | 0.0689640i | ||||
\(782\) | 0.592613 | − | 0.0622861i | 0.0211918 | − | 0.00222735i | ||||
\(783\) | −42.8457 | + | 11.3708i | −1.53118 | + | 0.406359i | ||||
\(784\) | 0.670101 | − | 6.37558i | 0.0239322 | − | 0.227699i | ||||
\(785\) | 8.68167 | + | 7.81701i | 0.309862 | + | 0.279001i | ||||
\(786\) | −9.48462 | − | 22.3939i | −0.338305 | − | 0.798765i | ||||
\(787\) | 9.53085 | − | 44.8391i | 0.339738 | − | 1.59834i | −0.394133 | − | 0.919053i | \(-0.628955\pi\) |
0.733871 | − | 0.679288i | \(-0.237711\pi\) | |||||||
\(788\) | −16.7945 | + | 3.56979i | −0.598280 | + | 0.127168i | ||||
\(789\) | 35.9420 | + | 12.4079i | 1.27957 | + | 0.441732i | ||||
\(790\) | 6.34767 | + | 2.06248i | 0.225840 | + | 0.0733798i | ||||
\(791\) | −1.57100 | − | 0.510449i | −0.0558584 | − | 0.0181495i | ||||
\(792\) | −1.60023 | + | 0.847589i | −0.0568616 | + | 0.0301178i | ||||
\(793\) | −69.1162 | + | 14.6911i | −2.45439 | + | 0.521696i | ||||
\(794\) | −2.45696 | + | 11.5591i | −0.0871941 | + | 0.410216i | ||||
\(795\) | −6.24401 | + | 2.64456i | −0.221452 | + | 0.0937927i | ||||
\(796\) | −1.89279 | − | 1.70428i | −0.0670882 | − | 0.0604065i | ||||
\(797\) | 4.10138 | − | 39.0220i | 0.145278 | − | 1.38223i | −0.642506 | − | 0.766280i | \(-0.722105\pi\) |
0.787785 | − | 0.615951i | \(-0.211228\pi\) | |||||||
\(798\) | −5.41080 | + | 1.04728i | −0.191540 | + | 0.0370733i | ||||
\(799\) | 9.68007 | − | 1.01742i | 0.342456 | − | 0.0359936i | ||||
\(800\) | 0.866025 | + | 0.500000i | 0.0306186 | + | 0.0176777i | ||||
\(801\) | −14.8005 | + | 9.94882i | −0.522951 | + | 0.351524i | ||||
\(802\) | −4.10068 | − | 5.64410i | −0.144800 | − | 0.199300i | ||||
\(803\) | 6.32767 | − | 5.69746i | 0.223299 | − | 0.201059i | ||||
\(804\) | −0.534228 | + | 1.14328i | −0.0188408 | + | 0.0403203i | ||||
\(805\) | 0.466898i | 0.0164560i | ||||||||
\(806\) | 21.0729 | − | 25.8424i | 0.742261 | − | 0.910258i | ||||
\(807\) | 20.3394 | + | 18.9971i | 0.715981 | + | 0.668730i | ||||
\(808\) | −4.07725 | − | 12.5485i | −0.143437 | − | 0.441454i | ||||
\(809\) | −24.9455 | − | 27.7048i | −0.877037 | − | 0.974049i | 0.122794 | − | 0.992432i | \(-0.460815\pi\) |
−0.999831 | + | 0.0183835i | \(0.994148\pi\) | |||||||
\(810\) | 6.49395 | − | 6.23127i | 0.228174 | − | 0.218944i | ||||
\(811\) | −2.21449 | − | 3.83562i | −0.0777614 | − | 0.134687i | 0.824522 | − | 0.565829i | \(-0.191444\pi\) |
−0.902284 | + | 0.431143i | \(0.858111\pi\) | |||||||
\(812\) | 3.27448 | − | 5.67156i | 0.114912 | − | 0.199033i | ||||
\(813\) | 0.881659 | + | 0.665479i | 0.0309211 | + | 0.0233394i | ||||
\(814\) | −5.35859 | − | 3.89324i | −0.187818 | − | 0.136458i | ||||
\(815\) | −4.93085 | − | 0.518253i | −0.172720 | − | 0.0181536i | ||||
\(816\) | 1.69058 | − | 0.146550i | 0.0591822 | − | 0.00513028i | ||||
\(817\) | −6.36416 | + | 14.2941i | −0.222654 | + | 0.500089i | ||||
\(818\) | −13.6264 | − | 2.89637i | −0.476435 | − | 0.101269i | ||||
\(819\) | −13.2641 | + | 3.78057i | −0.463486 | + | 0.132104i | ||||
\(820\) | −10.0818 | + | 4.48871i | −0.352072 | + | 0.156753i | ||||
\(821\) | −2.29451 | + | 7.06176i | −0.0800788 | + | 0.246457i | −0.983079 | − | 0.183183i | \(-0.941360\pi\) |
0.903000 | + | 0.429641i | \(0.141360\pi\) | |||||||
\(822\) | −6.67033 | − | 12.0562i | −0.232655 | − | 0.420510i | ||||
\(823\) | −1.47241 | − | 3.30708i | −0.0513249 | − | 0.115278i | 0.886063 | − | 0.463565i | \(-0.153430\pi\) |
−0.937388 | + | 0.348287i | \(0.886763\pi\) | |||||||
\(824\) | −3.32747 | − | 15.6545i | −0.115918 | − | 0.545351i | ||||
\(825\) | 0.598985 | + | 0.856891i | 0.0208540 | + | 0.0298331i | ||||
\(826\) | 6.86404 | + | 3.05607i | 0.238831 | + | 0.106334i | ||||
\(827\) | 15.6373 | − | 17.3670i | 0.543761 | − | 0.603908i | −0.407154 | − | 0.913360i | \(-0.633479\pi\) |
0.950915 | + | 0.309451i | \(0.100145\pi\) | |||||||
\(828\) | −1.82342 | − | 0.0665839i | −0.0633683 | − | 0.00231395i | ||||
\(829\) | −5.09618 | + | 7.01428i | −0.176998 | + | 0.243616i | −0.888293 | − | 0.459277i | \(-0.848109\pi\) |
0.711296 | + | 0.702893i | \(0.248109\pi\) | |||||||
\(830\) | −0.737132 | − | 7.01335i | −0.0255862 | − | 0.243437i | ||||
\(831\) | 1.65045 | + | 5.41380i | 0.0572535 | + | 0.187803i | ||||
\(832\) | 5.18659 | − | 2.99448i | 0.179812 | − | 0.103815i | ||||
\(833\) | −5.08118 | + | 3.69170i | −0.176053 | + | 0.127910i | ||||
\(834\) | 0.442516 | − | 24.2450i | 0.0153231 | − | 0.839534i | ||||
\(835\) | 8.55025 | − | 2.77814i | 0.295894 | − | 0.0961417i | ||||
\(836\) | 2.50195 | 0.0865317 | ||||||||
\(837\) | −27.5663 | + | 8.78052i | −0.952832 | + | 0.303499i | ||||
\(838\) | −12.4945 | −0.431616 | ||||||||
\(839\) | 8.87796 | − | 2.88462i | 0.306501 | − | 0.0995882i | −0.151728 | − | 0.988422i | \(-0.548484\pi\) |
0.458229 | + | 0.888834i | \(0.348484\pi\) | |||||||
\(840\) | −0.0242640 | + | 1.32940i | −0.000837188 | + | 0.0458686i | ||||
\(841\) | −35.4184 | + | 25.7330i | −1.22132 | + | 0.887344i | ||||
\(842\) | 4.04674 | − | 2.33638i | 0.139460 | − | 0.0805171i | ||||
\(843\) | −2.84493 | − | 9.33191i | −0.0979844 | − | 0.321408i | ||||
\(844\) | −1.42709 | − | 13.5778i | −0.0491224 | − | 0.467368i | ||||
\(845\) | 13.4412 | − | 18.5002i | 0.462392 | − | 0.636428i | ||||
\(846\) | −29.7848 | − | 1.08762i | −1.02402 | − | 0.0373931i | ||||
\(847\) | −5.46314 | + | 6.06743i | −0.187716 | + | 0.208479i | ||||
\(848\) | 3.57651 | + | 1.59237i | 0.122818 | + | 0.0546821i | ||||
\(849\) | 20.2114 | + | 28.9138i | 0.693652 | + | 0.992319i | ||||
\(850\) | −0.203695 | − | 0.958310i | −0.00698668 | − | 0.0328698i | ||||
\(851\) | −2.71458 | − | 6.09705i | −0.0930546 | − | 0.209004i | ||||
\(852\) | −5.35459 | − | 9.67812i | −0.183445 | − | 0.331567i | ||||
\(853\) | 1.04568 | − | 3.21829i | 0.0358036 | − | 0.110192i | −0.931558 | − | 0.363594i | \(-0.881550\pi\) |
0.967361 | + | 0.253402i | \(0.0815495\pi\) | |||||||
\(854\) | −8.27412 | + | 3.68387i | −0.283134 | + | 0.126060i | ||||
\(855\) | −11.9586 | + | 3.40847i | −0.408976 | + | 0.116567i | ||||
\(856\) | −13.5633 | − | 2.88298i | −0.463585 | − | 0.0985381i | ||||
\(857\) | 16.2380 | − | 36.4712i | 0.554681 | − | 1.24583i | −0.390897 | − | 0.920435i | \(-0.627835\pi\) |
0.945577 | − | 0.325398i | \(-0.105498\pi\) | |||||||
\(858\) | 6.23799 | − | 0.540746i | 0.212961 | − | 0.0184608i | ||||
\(859\) | −1.55912 | − | 0.163870i | −0.0531965 | − | 0.00559118i | 0.0778928 | − | 0.996962i | \(-0.475181\pi\) |
−0.131089 | + | 0.991371i | \(0.541847\pi\) | |||||||
\(860\) | 3.05398 | + | 2.21884i | 0.104140 | + | 0.0756619i | ||||
\(861\) | −11.7118 | − | 8.84012i | −0.399137 | − | 0.301270i | ||||
\(862\) | −8.69652 | + | 15.0628i | −0.296205 | + | 0.513041i | ||||
\(863\) | −18.3647 | − | 31.8086i | −0.625141 | − | 1.08278i | −0.988514 | − | 0.151132i | \(-0.951708\pi\) |
0.363373 | − | 0.931644i | \(-0.381625\pi\) | |||||||
\(864\) | −5.18837 | − | 0.284345i | −0.176512 | − | 0.00967361i | ||||
\(865\) | −6.10565 | − | 6.78101i | −0.207598 | − | 0.230561i | ||||
\(866\) | 1.63954 | + | 5.04598i | 0.0557138 | + | 0.171469i | ||||
\(867\) | 20.3036 | + | 18.9637i | 0.689547 | + | 0.644041i | ||||
\(868\) | 1.95338 | − | 3.80165i | 0.0663020 | − | 0.129036i | ||||
\(869\) | − | 4.02871i | − | 0.136665i | ||||||
\(870\) | 6.25539 | − | 13.3869i | 0.212078 | − | 0.453858i | ||||
\(871\) | 3.24266 | − | 2.91970i | 0.109873 | − | 0.0989304i | ||||
\(872\) | −5.27361 | − | 7.25851i | −0.178587 | − | 0.245804i | ||||
\(873\) | −24.1717 | + | 16.2481i | −0.818089 | + | 0.549914i | ||||
\(874\) | 2.18326 | + | 1.26051i | 0.0738499 | + | 0.0426373i | ||||
\(875\) | 0.763452 | − | 0.0802420i | 0.0258094 | − | 0.00271267i | ||||
\(876\) | 23.9876 | − | 4.64288i | 0.810465 | − | 0.156868i | ||||
\(877\) | −4.21572 | + | 40.1098i | −0.142355 | + | 1.35441i | 0.657153 | + | 0.753757i | \(0.271761\pi\) |
−0.799507 | + | 0.600656i | \(0.794906\pi\) | |||||||
\(878\) | −21.7290 | − | 19.5649i | −0.733318 | − | 0.660283i | ||||
\(879\) | −14.1564 | + | 5.99573i | −0.477483 | + | 0.202231i | ||||
\(880\) | 0.125498 | − | 0.590422i | 0.00423054 | − | 0.0199031i | ||||
\(881\) | 10.7650 | − | 2.28817i | 0.362681 | − | 0.0770903i | −0.0229669 | − | 0.999736i | \(-0.507311\pi\) |
0.385648 | + | 0.922646i | \(0.373978\pi\) | |||||||
\(882\) | 16.9953 | − | 9.00186i | 0.572262 | − | 0.303109i | ||||
\(883\) | −18.9906 | − | 6.17043i | −0.639086 | − | 0.207652i | −0.0284902 | − | 0.999594i | \(-0.509070\pi\) |
−0.610596 | + | 0.791942i | \(0.709070\pi\) | |||||||
\(884\) | −5.58032 | − | 1.81315i | −0.187686 | − | 0.0609830i | ||||
\(885\) | 16.0249 | + | 5.53208i | 0.538670 | + | 0.185959i | ||||
\(886\) | 35.1686 | − | 7.47531i | 1.18151 | − | 0.251138i | ||||
\(887\) | 2.25929 | − | 10.6291i | 0.0758595 | − | 0.356891i | −0.923803 | − | 0.382868i | \(-0.874936\pi\) |
0.999663 | + | 0.0259771i | \(0.00826971\pi\) | |||||||
\(888\) | −7.41236 | − | 17.5012i | −0.248743 | − | 0.587301i | ||||
\(889\) | 5.61487 | + | 5.05565i | 0.188317 | + | 0.169561i | ||||
\(890\) | 0.621370 | − | 5.91194i | 0.0208284 | − | 0.198169i | ||||
\(891\) | −4.78848 | − | 2.56568i | −0.160420 | − | 0.0859536i | ||||
\(892\) | 11.9201 | − | 1.25286i | 0.399116 | − | 0.0419488i | ||||
\(893\) | 35.6626 | + | 20.5898i | 1.19340 | + | 0.689012i | ||||
\(894\) | 0.941020 | − | 4.06124i | 0.0314724 | − | 0.135828i | ||||
\(895\) | 5.05063 | + | 6.95159i | 0.168824 | + | 0.232366i | ||||
\(896\) | 0.570480 | − | 0.513663i | 0.0190584 | − | 0.0171603i | ||||
\(897\) | 5.71585 | + | 2.67089i | 0.190847 | + | 0.0891785i | ||||
\(898\) | − | 18.9371i | − | 0.631939i | ||||||
\(899\) | −37.0154 | + | 29.7662i | −1.23453 | + | 0.992759i | ||||
\(900\) | 0.204502 | + | 2.99302i | 0.00681672 | + | 0.0997674i | ||||
\(901\) | −1.18526 | − | 3.64786i | −0.0394867 | − | 0.121528i | ||||
\(902\) | 4.45736 | + | 4.95040i | 0.148414 | + | 0.164830i | ||||
\(903\) | −0.615656 | + | 4.98131i | −0.0204878 | + | 0.165768i | ||||
\(904\) | 1.07590 | + | 1.86352i | 0.0357840 | + | 0.0619797i | ||||
\(905\) | −9.79829 | + | 16.9711i | −0.325706 | + | 0.564140i | ||||
\(906\) | −4.47496 | + | 5.92865i | −0.148671 | + | 0.196966i | ||||
\(907\) | −22.0320 | − | 16.0072i | −0.731561 | − | 0.531510i | 0.158496 | − | 0.987360i | \(-0.449335\pi\) |
−0.890057 | + | 0.455850i | \(0.849335\pi\) | |||||||
\(908\) | 21.6232 | + | 2.27269i | 0.717592 | + | 0.0754220i | ||||
\(909\) | 24.4193 | − | 31.1528i | 0.809935 | − | 1.03327i | ||||
\(910\) | 1.86996 | − | 4.19999i | 0.0619884 | − | 0.139228i | ||||
\(911\) | 20.8411 | + | 4.42992i | 0.690498 | + | 0.146770i | 0.539779 | − | 0.841807i | \(-0.318508\pi\) |
0.150719 | + | 0.988577i | \(0.451841\pi\) | |||||||
\(912\) | 6.15089 | + | 3.70250i | 0.203676 | + | 0.122602i | ||||
\(913\) | −3.88866 | + | 1.73134i | −0.128696 | + | 0.0572990i | ||||
\(914\) | −8.61794 | + | 26.5233i | −0.285056 | + | 0.877313i | ||||
\(915\) | −17.8812 | + | 9.89308i | −0.591133 | + | 0.327055i | ||||
\(916\) | 5.62330 | + | 12.6301i | 0.185799 | + | 0.417311i | ||||
\(917\) | 2.24101 | + | 10.5431i | 0.0740045 | + | 0.348164i | ||||
\(918\) | 3.19426 | + | 3.96391i | 0.105426 | + | 0.130829i | ||||
\(919\) | −46.7705 | − | 20.8236i | −1.54282 | − | 0.686906i | −0.553521 | − | 0.832835i | \(-0.686716\pi\) |
−0.989295 | + | 0.145929i | \(0.953383\pi\) | |||||||
\(920\) | 0.406974 | − | 0.451990i | 0.0134175 | − | 0.0149017i | ||||
\(921\) | −6.92102 | + | 6.00668i | −0.228055 | + | 0.197927i | ||||
\(922\) | −9.26226 | + | 12.7484i | −0.305036 | + | 0.419846i | ||||
\(923\) | 3.99765 | + | 38.0351i | 0.131584 | + | 1.25194i | ||||
\(924\) | 0.767694 | − | 0.234039i | 0.0252553 | − | 0.00769932i | ||||
\(925\) | −9.50309 | + | 5.48661i | −0.312460 | + | 0.180399i | ||||
\(926\) | −32.8718 | + | 23.8827i | −1.08023 | + | 0.784836i | ||||
\(927\) | 33.4074 | − | 34.4843i | 1.09724 | − | 1.13261i | ||||
\(928\) | −8.11355 | + | 2.63625i | −0.266340 | + | 0.0865392i | ||||
\(929\) | 33.5885 | 1.10200 | 0.551002 | − | 0.834504i | \(-0.314246\pi\) | ||||
0.551002 | + | 0.834504i | \(0.314246\pi\) | |||||||
\(930\) | 3.65013 | − | 8.92617i | 0.119692 | − | 0.292701i | ||||
\(931\) | −26.5721 | −0.870865 | ||||||||
\(932\) | 2.31438 | − | 0.751987i | 0.0758100 | − | 0.0246322i | ||||
\(933\) | −17.0963 | − | 0.312039i | −0.559707 | − | 0.0102157i | ||||
\(934\) | 2.38058 | − | 1.72959i | 0.0778948 | − | 0.0565939i | ||||
\(935\) | −0.512142 | + | 0.295685i | −0.0167488 | + | 0.00966995i | ||||
\(936\) | 16.1359 | + | 7.90187i | 0.527420 | + | 0.258281i | ||||
\(937\) | 2.88244 | + | 27.4246i | 0.0941651 | + | 0.895921i | 0.935004 | + | 0.354636i | \(0.115395\pi\) |
−0.840839 | + | 0.541285i | \(0.817938\pi\) | |||||||
\(938\) | 0.328748 | − | 0.452482i | 0.0107340 | − | 0.0147741i | ||||
\(939\) | −16.3905 | − | 18.8855i | −0.534884 | − | 0.616304i | ||||
\(940\) | 6.64773 | − | 7.38306i | 0.216825 | − | 0.240809i | ||||
\(941\) | 32.5513 | + | 14.4928i | 1.06114 | + | 0.472451i | 0.861678 | − | 0.507455i | \(-0.169414\pi\) |
0.199463 | + | 0.979905i | \(0.436080\pi\) | |||||||
\(942\) | 16.5843 | − | 11.5928i | 0.540346 | − | 0.377713i | ||||
\(943\) | 1.39554 | + | 6.56551i | 0.0454451 | + | 0.213802i | ||||
\(944\) | −3.98104 | − | 8.94155i | −0.129572 | − | 0.291023i | ||||
\(945\) | −3.35052 | + | 2.16449i | −0.108993 | + | 0.0704109i | ||||
\(946\) | 0.704123 | − | 2.16707i | 0.0228930 | − | 0.0704575i | ||||
\(947\) | 1.54311 | − | 0.687036i | 0.0501443 | − | 0.0223257i | −0.381511 | − | 0.924364i | \(-0.624596\pi\) |
0.431656 | + | 0.902039i | \(0.357930\pi\) | |||||||
\(948\) | 5.96188 | − | 9.90435i | 0.193633 | − | 0.321678i | ||||
\(949\) | −82.6356 | − | 17.5647i | −2.68246 | − | 0.570175i | ||||
\(950\) | 1.68591 | − | 3.78661i | 0.0546980 | − | 0.122854i | ||||
\(951\) | 1.03467 | + | 11.9358i | 0.0335514 | + | 0.387045i | ||||
\(952\) | −0.747968 | − | 0.0786146i | −0.0242418 | − | 0.00254791i | ||||
\(953\) | −12.0812 | − | 8.77751i | −0.391349 | − | 0.284331i | 0.374659 | − | 0.927163i | \(-0.377760\pi\) |
−0.766008 | + | 0.642831i | \(0.777760\pi\) | |||||||
\(954\) | 2.02106 | + | 11.5698i | 0.0654342 | + | 0.374585i | ||||
\(955\) | −6.72532 | + | 11.6486i | −0.217626 | + | 0.376940i | ||||
\(956\) | −12.9986 | − | 22.5142i | −0.420405 | − | 0.728162i | ||||
\(957\) | −8.85181 | − | 1.09402i | −0.286138 | − | 0.0353647i | ||||
\(958\) | −5.84760 | − | 6.49442i | −0.188927 | − | 0.209825i | ||||
\(959\) | 1.88708 | + | 5.80783i | 0.0609369 | + | 0.187545i | ||||
\(960\) | 1.18226 | − | 1.26580i | 0.0381574 | − | 0.0408535i | ||||
\(961\) | −23.1783 | + | 20.5856i | −0.747687 | + | 0.664052i | ||||
\(962\) | 65.7181i | 2.11884i | ||||||||
\(963\) | −15.5218 | − | 38.5947i | −0.500183 | − | 1.24370i | ||||
\(964\) | −10.5517 | + | 9.50077i | −0.339847 | + | 0.305999i | ||||
\(965\) | 14.5252 | + | 19.9922i | 0.467582 | + | 0.643571i | ||||
\(966\) | 0.787820 | + | 0.182544i | 0.0253477 | + | 0.00587325i | ||||
\(967\) | −4.76122 | − | 2.74889i | −0.153111 | − | 0.0883984i | 0.421487 | − | 0.906834i | \(-0.361508\pi\) |
−0.574598 | + | 0.818436i | \(0.694842\pi\) | |||||||
\(968\) | 10.5774 | − | 1.11173i | 0.339970 | − | 0.0357323i | ||||
\(969\) | −1.33659 | − | 6.90551i | −0.0429374 | − | 0.221837i | ||||
\(970\) | 1.01480 | − | 9.65519i | 0.0325833 | − | 0.310009i | ||||
\(971\) | −16.6815 | − | 15.0201i | −0.535336 | − | 0.482018i | 0.356552 | − | 0.934276i | \(-0.383952\pi\) |
−0.891888 | + | 0.452257i | \(0.850619\pi\) | |||||||
\(972\) | −7.97537 | − | 13.3938i | −0.255810 | − | 0.429606i | ||||
\(973\) | −2.23449 | + | 10.5125i | −0.0716346 | + | 0.337014i | ||||
\(974\) | −26.2420 | + | 5.57790i | −0.840847 | + | 0.178728i | ||||
\(975\) | 3.38499 | − | 9.80533i | 0.108406 | − | 0.314022i | ||||
\(976\) | 11.2210 | + | 3.64592i | 0.359175 | + | 0.116703i | ||||
\(977\) | 7.68850 | + | 2.49815i | 0.245977 | + | 0.0799228i | 0.429411 | − | 0.903109i | \(-0.358721\pi\) |
−0.183434 | + | 0.983032i | \(0.558721\pi\) | |||||||
\(978\) | −2.80229 | + | 8.11743i | −0.0896074 | + | 0.259567i | ||||
\(979\) | −3.50977 | + | 0.746025i | −0.112173 | + | 0.0238431i | ||||
\(980\) | −1.33286 | + | 6.27061i | −0.0425767 | + | 0.200307i | ||||
\(981\) | 9.24611 | − | 25.2781i | 0.295205 | − | 0.807067i | ||||
\(982\) | −26.0840 | − | 23.4861i | −0.832372 | − | 0.749472i | ||||
\(983\) | 2.40628 | − | 22.8942i | 0.0767484 | − | 0.730213i | −0.886705 | − | 0.462336i | \(-0.847011\pi\) |
0.963453 | − | 0.267877i | \(-0.0863219\pi\) | |||||||
\(984\) | 3.63232 | + | 18.7665i | 0.115794 | + | 0.598253i | ||||
\(985\) | 17.0757 | − | 1.79473i | 0.544076 | − | 0.0571847i | ||||
\(986\) | 7.23830 | + | 4.17904i | 0.230515 | + | 0.133088i | ||||
\(987\) | 12.8687 | + | 2.98177i | 0.409615 | + | 0.0949108i | ||||
\(988\) | −14.5912 | − | 20.0830i | −0.464206 | − | 0.638925i | ||||
\(989\) | 1.70623 | − | 1.53629i | 0.0542548 | − | 0.0488513i | ||||
\(990\) | 1.68006 | − | 0.675676i | 0.0533958 | − | 0.0214744i | ||||
\(991\) | − | 3.07934i | − | 0.0978185i | −0.998803 | − | 0.0489093i | \(-0.984425\pi\) | ||
0.998803 | − | 0.0489093i | \(-0.0155745\pi\) | |||||||
\(992\) | −5.20472 | + | 1.97759i | −0.165250 | + | 0.0627885i | ||||
\(993\) | 15.8365 | − | 16.9554i | 0.502556 | − | 0.538065i | ||||
\(994\) | 1.51485 | + | 4.66222i | 0.0480480 | + | 0.147877i | ||||
\(995\) | 1.70428 | + | 1.89279i | 0.0540292 | + | 0.0600055i | ||||
\(996\) | −12.1221 | − | 1.49822i | −0.384105 | − | 0.0474728i | ||||
\(997\) | 22.7959 | + | 39.4837i | 0.721953 | + | 1.25046i | 0.960216 | + | 0.279259i | \(0.0900889\pi\) |
−0.238262 | + | 0.971201i | \(0.576578\pi\) | |||||||
\(998\) | 7.84924 | − | 13.5953i | 0.248463 | − | 0.430351i | ||||
\(999\) | 31.1687 | − | 47.7454i | 0.986134 | − | 1.51060i |
(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 | 930.2.br.b.11.5 | ✓ | 176 | |
3.2 | odd | 2 | inner | 930.2.br.b.11.22 | yes | 176 | |
31.17 | odd | 30 | inner | 930.2.br.b.761.22 | yes | 176 | |
93.17 | even | 30 | inner | 930.2.br.b.761.5 | yes | 176 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.br.b.11.5 | ✓ | 176 | 1.1 | even | 1 | trivial | |
930.2.br.b.11.22 | yes | 176 | 3.2 | odd | 2 | inner | |
930.2.br.b.761.5 | yes | 176 | 93.17 | even | 30 | inner | |
930.2.br.b.761.22 | yes | 176 | 31.17 | odd | 30 | inner |