Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [87,2,Mod(7,87)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(87, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("87.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 87 = 3 \cdot 29 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 87.g (of order \(7\), degree \(6\), 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: | \(0.694698497585\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{7})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} - 5 x^{17} + 15 x^{16} - 32 x^{15} + 66 x^{14} - 115 x^{13} + 272 x^{12} - 387 x^{11} + 762 x^{10} + \cdots + 49 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 49.3 | ||
Root | \(-1.23500 + 1.54863i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 87.49 |
Dual form | 87.2.g.b.16.3 |
$q$-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 \(\left(\mathbb{Z}/87\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(59\) |
\(\chi(n)\) | \(e\left(\frac{6}{7}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.78462 | − | 0.859427i | 1.26192 | − | 0.607707i | 0.321236 | − | 0.946999i | \(-0.395902\pi\) |
0.940681 | + | 0.339292i | \(0.110188\pi\) | |||||||
\(3\) | −0.623490 | − | 0.781831i | −0.359972 | − | 0.451391i | ||||
\(4\) | 1.19927 | − | 1.50384i | 0.599636 | − | 0.751920i | ||||
\(5\) | −1.09830 | + | 0.528911i | −0.491173 | + | 0.236536i | −0.663040 | − | 0.748584i | \(-0.730734\pi\) |
0.171867 | + | 0.985120i | \(0.445020\pi\) | |||||||
\(6\) | −1.78462 | − | 0.859427i | −0.728568 | − | 0.350860i | ||||
\(7\) | 0.245180 | + | 0.307445i | 0.0926692 | + | 0.116203i | 0.826004 | − | 0.563664i | \(-0.190609\pi\) |
−0.733335 | + | 0.679867i | \(0.762037\pi\) | |||||||
\(8\) | −0.0337262 | + | 0.147764i | −0.0119240 | + | 0.0522424i | ||||
\(9\) | −0.222521 | + | 0.974928i | −0.0741736 | + | 0.324976i | ||||
\(10\) | −1.50548 | + | 1.88781i | −0.476074 | + | 0.596978i | ||||
\(11\) | 0.554919 | + | 2.43126i | 0.167314 | + | 0.733052i | 0.987064 | + | 0.160329i | \(0.0512557\pi\) |
−0.819749 | + | 0.572723i | \(0.805887\pi\) | |||||||
\(12\) | −1.92348 | −0.555262 | ||||||||
\(13\) | −0.735270 | − | 3.22143i | −0.203927 | − | 0.893464i | −0.968517 | − | 0.248947i | \(-0.919916\pi\) |
0.764590 | − | 0.644517i | \(-0.222942\pi\) | |||||||
\(14\) | 0.701779 | + | 0.337959i | 0.187558 | + | 0.0903234i | ||||
\(15\) | 1.09830 | + | 0.528911i | 0.283579 | + | 0.136564i | ||||
\(16\) | 0.922834 | + | 4.04320i | 0.230709 | + | 1.01080i | ||||
\(17\) | −4.30028 | −1.04297 | −0.521486 | − | 0.853260i | \(-0.674622\pi\) | ||||
−0.521486 | + | 0.853260i | \(0.674622\pi\) | |||||||
\(18\) | 0.440765 | + | 1.93112i | 0.103889 | + | 0.455168i | ||||
\(19\) | 3.34887 | − | 4.19936i | 0.768284 | − | 0.963398i | −0.231671 | − | 0.972794i | \(-0.574419\pi\) |
0.999956 | + | 0.00939593i | \(0.00299086\pi\) | |||||||
\(20\) | −0.521757 | + | 2.28597i | −0.116669 | + | 0.511158i | ||||
\(21\) | 0.0875036 | − | 0.383378i | 0.0190948 | − | 0.0836600i | ||||
\(22\) | 3.07981 | + | 3.86196i | 0.656618 | + | 0.823372i | ||||
\(23\) | −2.70461 | − | 1.30247i | −0.563951 | − | 0.271584i | 0.130112 | − | 0.991499i | \(-0.458466\pi\) |
−0.694062 | + | 0.719915i | \(0.744181\pi\) | |||||||
\(24\) | 0.136554 | − | 0.0657611i | 0.0278741 | − | 0.0134234i | ||||
\(25\) | −2.19094 | + | 2.74736i | −0.438189 | + | 0.549471i | ||||
\(26\) | −4.08076 | − | 5.11712i | −0.800304 | − | 1.00355i | ||||
\(27\) | 0.900969 | − | 0.433884i | 0.173392 | − | 0.0835010i | ||||
\(28\) | 0.756386 | 0.142943 | ||||||||
\(29\) | −1.86053 | − | 5.05355i | −0.345492 | − | 0.938422i | ||||
\(30\) | 2.41460 | 0.440844 | ||||||||
\(31\) | 9.01303 | − | 4.34044i | 1.61879 | − | 0.779567i | 0.618805 | − | 0.785544i | \(-0.287617\pi\) |
0.999982 | + | 0.00597750i | \(0.00190271\pi\) | |||||||
\(32\) | 4.93275 | + | 6.18547i | 0.871995 | + | 1.09345i | ||||
\(33\) | 1.55485 | − | 1.94972i | 0.270664 | − | 0.339402i | ||||
\(34\) | −7.67437 | + | 3.69578i | −1.31614 | + | 0.633821i | ||||
\(35\) | −0.431891 | − | 0.207988i | −0.0730029 | − | 0.0351564i | ||||
\(36\) | 1.19927 | + | 1.50384i | 0.199879 | + | 0.250640i | ||||
\(37\) | −0.812038 | + | 3.55777i | −0.133498 | + | 0.584894i | 0.863283 | + | 0.504721i | \(0.168405\pi\) |
−0.996781 | + | 0.0801733i | \(0.974453\pi\) | |||||||
\(38\) | 2.36742 | − | 10.3724i | 0.384047 | − | 1.68262i | ||||
\(39\) | −2.06018 | + | 2.58339i | −0.329893 | + | 0.413673i | ||||
\(40\) | −0.0411127 | − | 0.180127i | −0.00650049 | − | 0.0284805i | ||||
\(41\) | −7.82011 | −1.22130 | −0.610648 | − | 0.791902i | \(-0.709091\pi\) | ||||
−0.610648 | + | 0.791902i | \(0.709091\pi\) | |||||||
\(42\) | −0.173325 | − | 0.759387i | −0.0267447 | − | 0.117176i | ||||
\(43\) | −2.11613 | − | 1.01908i | −0.322708 | − | 0.155408i | 0.265515 | − | 0.964107i | \(-0.414458\pi\) |
−0.588223 | + | 0.808699i | \(0.700172\pi\) | |||||||
\(44\) | 4.32172 | + | 2.08123i | 0.651524 | + | 0.313757i | ||||
\(45\) | −0.271257 | − | 1.18845i | −0.0404366 | − | 0.177164i | ||||
\(46\) | −5.94608 | −0.876702 | ||||||||
\(47\) | 1.90056 | + | 8.32691i | 0.277226 | + | 1.21461i | 0.901284 | + | 0.433228i | \(0.142625\pi\) |
−0.624059 | + | 0.781377i | \(0.714517\pi\) | |||||||
\(48\) | 2.58572 | − | 3.24240i | 0.373217 | − | 0.468000i | ||||
\(49\) | 1.52324 | − | 6.67374i | 0.217605 | − | 0.953391i | ||||
\(50\) | −1.54885 | + | 6.78594i | −0.219040 | + | 0.959677i | ||||
\(51\) | 2.68118 | + | 3.36210i | 0.375440 | + | 0.470787i | ||||
\(52\) | −5.72630 | − | 2.75764i | −0.794095 | − | 0.382416i | ||||
\(53\) | 9.83963 | − | 4.73852i | 1.35158 | − | 0.650885i | 0.388836 | − | 0.921307i | \(-0.372877\pi\) |
0.962742 | + | 0.270422i | \(0.0871632\pi\) | |||||||
\(54\) | 1.23500 | − | 1.54863i | 0.168062 | − | 0.210743i | ||||
\(55\) | −1.89539 | − | 2.37674i | −0.255574 | − | 0.320479i | ||||
\(56\) | −0.0536983 | + | 0.0258597i | −0.00717574 | + | 0.00345565i | ||||
\(57\) | −5.37118 | −0.711430 | ||||||||
\(58\) | −7.66351 | − | 7.41968i | −1.00627 | − | 0.974252i | ||||
\(59\) | 10.2851 | 1.33901 | 0.669503 | − | 0.742809i | \(-0.266507\pi\) | ||||
0.669503 | + | 0.742809i | \(0.266507\pi\) | |||||||
\(60\) | 2.11255 | − | 1.01735i | 0.272729 | − | 0.131340i | ||||
\(61\) | 2.32106 | + | 2.91052i | 0.297182 | + | 0.372654i | 0.907895 | − | 0.419198i | \(-0.137689\pi\) |
−0.610713 | + | 0.791852i | \(0.709117\pi\) | |||||||
\(62\) | 12.3545 | − | 15.4921i | 1.56903 | − | 1.96750i | ||||
\(63\) | −0.354295 | + | 0.170619i | −0.0446369 | + | 0.0214960i | ||||
\(64\) | 6.64609 | + | 3.20059i | 0.830761 | + | 0.400073i | ||||
\(65\) | 2.51140 | + | 3.14919i | 0.311500 | + | 0.390609i | ||||
\(66\) | 1.09917 | − | 4.81578i | 0.135299 | − | 0.592782i | ||||
\(67\) | −1.14527 | + | 5.01776i | −0.139917 | + | 0.613017i | 0.855534 | + | 0.517746i | \(0.173229\pi\) |
−0.995451 | + | 0.0952705i | \(0.969628\pi\) | |||||||
\(68\) | −5.15721 | + | 6.46693i | −0.625403 | + | 0.784231i | ||||
\(69\) | 0.667984 | + | 2.92663i | 0.0804158 | + | 0.352325i | ||||
\(70\) | −0.949512 | −0.113488 | ||||||||
\(71\) | 1.80048 | + | 7.88840i | 0.213677 | + | 0.936181i | 0.962044 | + | 0.272896i | \(0.0879813\pi\) |
−0.748366 | + | 0.663285i | \(0.769162\pi\) | |||||||
\(72\) | −0.136554 | − | 0.0657611i | −0.0160931 | − | 0.00775003i | ||||
\(73\) | −7.88943 | − | 3.79935i | −0.923387 | − | 0.444680i | −0.0891081 | − | 0.996022i | \(-0.528402\pi\) |
−0.834279 | + | 0.551342i | \(0.814116\pi\) | |||||||
\(74\) | 1.60847 | + | 7.04716i | 0.186981 | + | 0.819215i | ||||
\(75\) | 3.51400 | 0.405762 | ||||||||
\(76\) | −2.29895 | − | 10.0723i | −0.263707 | − | 1.15538i | ||||
\(77\) | −0.611425 | + | 0.766702i | −0.0696783 | + | 0.0873738i | ||||
\(78\) | −1.45641 | + | 6.38094i | −0.164906 | + | 0.722499i | ||||
\(79\) | −1.62424 | + | 7.11624i | −0.182741 | + | 0.800640i | 0.797577 | + | 0.603216i | \(0.206115\pi\) |
−0.980318 | + | 0.197423i | \(0.936743\pi\) | |||||||
\(80\) | −3.15204 | − | 3.95253i | −0.352409 | − | 0.441907i | ||||
\(81\) | −0.900969 | − | 0.433884i | −0.100108 | − | 0.0482093i | ||||
\(82\) | −13.9559 | + | 6.72082i | −1.54117 | + | 0.742190i | ||||
\(83\) | −2.33795 | + | 2.93170i | −0.256624 | + | 0.321796i | −0.893408 | − | 0.449246i | \(-0.851693\pi\) |
0.636785 | + | 0.771042i | \(0.280264\pi\) | |||||||
\(84\) | −0.471599 | − | 0.591366i | −0.0514556 | − | 0.0645233i | ||||
\(85\) | 4.72298 | − | 2.27447i | 0.512279 | − | 0.246701i | ||||
\(86\) | −4.65232 | −0.501672 | ||||||||
\(87\) | −2.79100 | + | 4.60546i | −0.299227 | + | 0.493758i | ||||
\(88\) | −0.377968 | −0.0402915 | ||||||||
\(89\) | −9.38092 | + | 4.51762i | −0.994376 | + | 0.478866i | −0.859026 | − | 0.511932i | \(-0.828930\pi\) |
−0.135350 | + | 0.990798i | \(0.543216\pi\) | |||||||
\(90\) | −1.50548 | − | 1.88781i | −0.158691 | − | 0.198993i | ||||
\(91\) | 0.810141 | − | 1.01588i | 0.0849258 | − | 0.106494i | ||||
\(92\) | −5.20227 | + | 2.50528i | −0.542375 | + | 0.261194i | ||||
\(93\) | −9.01303 | − | 4.34044i | −0.934607 | − | 0.450083i | ||||
\(94\) | 10.5482 | + | 13.2270i | 1.08796 | + | 1.36426i | ||||
\(95\) | −1.45697 | + | 6.38339i | −0.149482 | + | 0.654922i | ||||
\(96\) | 1.76048 | − | 7.71316i | 0.179678 | − | 0.787221i | ||||
\(97\) | −10.1017 | + | 12.6672i | −1.02568 | + | 1.28616i | −0.0681928 | + | 0.997672i | \(0.521723\pi\) |
−0.957484 | + | 0.288486i | \(0.906848\pi\) | |||||||
\(98\) | −3.01719 | − | 13.2192i | −0.304783 | − | 1.33534i | ||||
\(99\) | −2.49378 | −0.250635 | ||||||||
\(100\) | 1.50404 | + | 6.58965i | 0.150404 | + | 0.658965i | ||||
\(101\) | 2.49049 | + | 1.19936i | 0.247813 | + | 0.119341i | 0.553668 | − | 0.832738i | \(-0.313228\pi\) |
−0.305854 | + | 0.952078i | \(0.598942\pi\) | |||||||
\(102\) | 7.67437 | + | 3.69578i | 0.759875 | + | 0.365937i | ||||
\(103\) | −0.842490 | − | 3.69119i | −0.0830130 | − | 0.363704i | 0.916311 | − | 0.400467i | \(-0.131152\pi\) |
−0.999324 | + | 0.0367637i | \(0.988295\pi\) | |||||||
\(104\) | 0.500809 | 0.0491084 | ||||||||
\(105\) | 0.106668 | + | 0.467344i | 0.0104098 | + | 0.0456081i | ||||
\(106\) | 13.4876 | − | 16.9129i | 1.31003 | − | 1.64273i | ||||
\(107\) | 2.51363 | − | 11.0129i | 0.243002 | − | 1.06466i | −0.695266 | − | 0.718752i | \(-0.744714\pi\) |
0.938268 | − | 0.345909i | \(-0.112429\pi\) | |||||||
\(108\) | 0.428015 | − | 1.87526i | 0.0411858 | − | 0.180447i | ||||
\(109\) | 9.27648 | + | 11.6323i | 0.888526 | + | 1.11418i | 0.992819 | + | 0.119630i | \(0.0381707\pi\) |
−0.104293 | + | 0.994547i | \(0.533258\pi\) | |||||||
\(110\) | −5.42518 | − | 2.61263i | −0.517270 | − | 0.249104i | ||||
\(111\) | 3.28788 | − | 1.58336i | 0.312071 | − | 0.150286i | ||||
\(112\) | −1.01680 | + | 1.27503i | −0.0960789 | + | 0.120479i | ||||
\(113\) | −0.0109212 | − | 0.0136948i | −0.00102738 | − | 0.00128830i | 0.781318 | − | 0.624134i | \(-0.214548\pi\) |
−0.782345 | + | 0.622845i | \(0.785977\pi\) | |||||||
\(114\) | −9.58551 | + | 4.61614i | −0.897765 | + | 0.432341i | ||||
\(115\) | 3.65936 | 0.341237 | ||||||||
\(116\) | −9.83102 | − | 3.26264i | −0.912787 | − | 0.302929i | ||||
\(117\) | 3.30428 | 0.305480 | ||||||||
\(118\) | 18.3550 | − | 8.83930i | 1.68971 | − | 0.813724i | ||||
\(119\) | −1.05434 | − | 1.32210i | −0.0966513 | − | 0.121197i | ||||
\(120\) | −0.115195 | + | 0.144450i | −0.0105158 | + | 0.0131865i | ||||
\(121\) | 4.30757 | − | 2.07442i | 0.391598 | − | 0.188583i | ||||
\(122\) | 6.64360 | + | 3.19939i | 0.601483 | + | 0.289659i | ||||
\(123\) | 4.87576 | + | 6.11401i | 0.439632 | + | 0.551281i | ||||
\(124\) | 4.28174 | − | 18.7595i | 0.384511 | − | 1.68465i | ||||
\(125\) | 2.30948 | − | 10.1185i | 0.206566 | − | 0.905025i | ||||
\(126\) | −0.485646 | + | 0.608981i | −0.0432648 | + | 0.0542524i | ||||
\(127\) | −2.28217 | − | 9.99883i | −0.202510 | − | 0.887253i | −0.969402 | − | 0.245477i | \(-0.921055\pi\) |
0.766893 | − | 0.641775i | \(-0.221802\pi\) | |||||||
\(128\) | −1.21162 | −0.107093 | ||||||||
\(129\) | 0.522642 | + | 2.28984i | 0.0460161 | + | 0.201610i | ||||
\(130\) | 7.18839 | + | 3.46174i | 0.630463 | + | 0.303615i | ||||
\(131\) | −4.46222 | − | 2.14889i | −0.389866 | − | 0.187750i | 0.228674 | − | 0.973503i | \(-0.426561\pi\) |
−0.618540 | + | 0.785754i | \(0.712275\pi\) | |||||||
\(132\) | −1.06738 | − | 4.67648i | −0.0929032 | − | 0.407036i | ||||
\(133\) | 2.11215 | 0.183146 | ||||||||
\(134\) | 2.26853 | + | 9.93906i | 0.195971 | + | 0.858604i | ||||
\(135\) | −0.760044 | + | 0.953065i | −0.0654142 | + | 0.0820268i | ||||
\(136\) | 0.145032 | − | 0.635427i | 0.0124364 | − | 0.0544874i | ||||
\(137\) | 3.01935 | − | 13.2286i | 0.257960 | − | 1.13020i | −0.665468 | − | 0.746426i | \(-0.731768\pi\) |
0.923428 | − | 0.383771i | \(-0.125375\pi\) | |||||||
\(138\) | 3.70732 | + | 4.64884i | 0.315588 | + | 0.395735i | ||||
\(139\) | −14.8411 | − | 7.14709i | −1.25880 | − | 0.606208i | −0.318946 | − | 0.947773i | \(-0.603329\pi\) |
−0.939858 | + | 0.341564i | \(0.889043\pi\) | |||||||
\(140\) | −0.830735 | + | 0.400061i | −0.0702099 | + | 0.0338113i | ||||
\(141\) | 5.32526 | − | 6.67767i | 0.448468 | − | 0.562361i | ||||
\(142\) | 9.99267 | + | 12.5304i | 0.838567 | + | 1.05153i | ||||
\(143\) | 7.42411 | − | 3.57527i | 0.620836 | − | 0.298979i | ||||
\(144\) | −4.14718 | −0.345598 | ||||||||
\(145\) | 4.71630 | + | 4.56624i | 0.391667 | + | 0.379206i | ||||
\(146\) | −17.3449 | −1.43547 | ||||||||
\(147\) | −6.16746 | + | 2.97009i | −0.508684 | + | 0.244969i | ||||
\(148\) | 4.37646 | + | 5.48791i | 0.359743 | + | 0.451103i | ||||
\(149\) | 4.97975 | − | 6.24440i | 0.407957 | − | 0.511562i | −0.534829 | − | 0.844960i | \(-0.679624\pi\) |
0.942786 | + | 0.333399i | \(0.108195\pi\) | |||||||
\(150\) | 6.27115 | − | 3.02003i | 0.512037 | − | 0.246584i | ||||
\(151\) | 18.2927 | + | 8.80931i | 1.48864 | + | 0.716891i | 0.988803 | − | 0.149228i | \(-0.0476788\pi\) |
0.499837 | + | 0.866119i | \(0.333393\pi\) | |||||||
\(152\) | 0.507569 | + | 0.636471i | 0.0411693 | + | 0.0516246i | ||||
\(153\) | 0.956903 | − | 4.19246i | 0.0773610 | − | 0.338941i | ||||
\(154\) | −0.432235 | + | 1.89375i | −0.0348305 | + | 0.152602i | ||||
\(155\) | −7.60326 | + | 9.53418i | −0.610708 | + | 0.765804i | ||||
\(156\) | 1.41428 | + | 6.19636i | 0.113233 | + | 0.496106i | ||||
\(157\) | −4.08988 | −0.326408 | −0.163204 | − | 0.986592i | \(-0.552183\pi\) | ||||
−0.163204 | + | 0.986592i | \(0.552183\pi\) | |||||||
\(158\) | 3.21725 | + | 14.0957i | 0.255951 | + | 1.12139i | ||||
\(159\) | −9.83963 | − | 4.73852i | −0.780334 | − | 0.375789i | ||||
\(160\) | −8.68918 | − | 4.18449i | −0.686940 | − | 0.330813i | ||||
\(161\) | −0.262676 | − | 1.15086i | −0.0207018 | − | 0.0907005i | ||||
\(162\) | −1.98078 | −0.155625 | ||||||||
\(163\) | −4.28966 | − | 18.7942i | −0.335992 | − | 1.47208i | −0.807317 | − | 0.590118i | \(-0.799081\pi\) |
0.471325 | − | 0.881960i | \(-0.343776\pi\) | |||||||
\(164\) | −9.37844 | + | 11.7602i | −0.732333 | + | 0.918316i | ||||
\(165\) | −0.676455 | + | 2.96374i | −0.0526620 | + | 0.230727i | ||||
\(166\) | −1.65277 | + | 7.24127i | −0.128280 | + | 0.562031i | ||||
\(167\) | −2.02456 | − | 2.53871i | −0.156665 | − | 0.196452i | 0.697304 | − | 0.716775i | \(-0.254383\pi\) |
−0.853969 | + | 0.520324i | \(0.825811\pi\) | |||||||
\(168\) | 0.0536983 | + | 0.0258597i | 0.00414292 | + | 0.00199512i | ||||
\(169\) | 1.87561 | − | 0.903244i | 0.144277 | − | 0.0694803i | ||||
\(170\) | 6.47398 | − | 8.11812i | 0.496532 | − | 0.622631i | ||||
\(171\) | 3.34887 | + | 4.19936i | 0.256095 | + | 0.321133i | ||||
\(172\) | −4.07035 | + | 1.96018i | −0.310361 | + | 0.149462i | ||||
\(173\) | −8.02956 | −0.610476 | −0.305238 | − | 0.952276i | \(-0.598736\pi\) | ||||
−0.305238 | + | 0.952276i | \(0.598736\pi\) | |||||||
\(174\) | −1.02282 | + | 10.6177i | −0.0775398 | + | 0.804923i | ||||
\(175\) | −1.38184 | −0.104457 | ||||||||
\(176\) | −9.31797 | + | 4.48730i | −0.702368 | + | 0.338243i | ||||
\(177\) | −6.41266 | − | 8.04122i | −0.482005 | − | 0.604415i | ||||
\(178\) | −12.8588 | + | 16.1244i | −0.963809 | + | 1.20858i | ||||
\(179\) | 9.51892 | − | 4.58407i | 0.711478 | − | 0.342630i | −0.0428918 | − | 0.999080i | \(-0.513657\pi\) |
0.754369 | + | 0.656450i | \(0.227943\pi\) | |||||||
\(180\) | −2.11255 | − | 1.01735i | −0.157460 | − | 0.0758289i | ||||
\(181\) | −7.63399 | − | 9.57273i | −0.567430 | − | 0.711535i | 0.412482 | − | 0.910966i | \(-0.364662\pi\) |
−0.979912 | + | 0.199431i | \(0.936091\pi\) | |||||||
\(182\) | 0.572714 | − | 2.50922i | 0.0424524 | − | 0.185996i | ||||
\(183\) | 0.828378 | − | 3.62936i | 0.0612355 | − | 0.268290i | ||||
\(184\) | 0.283675 | − | 0.355717i | 0.0209128 | − | 0.0262238i | ||||
\(185\) | −0.989888 | − | 4.33698i | −0.0727780 | − | 0.318861i | ||||
\(186\) | −19.8151 | −1.45292 | ||||||||
\(187\) | −2.38631 | − | 10.4551i | −0.174504 | − | 0.764552i | ||||
\(188\) | 14.8016 | + | 7.12809i | 1.07952 | + | 0.519869i | ||||
\(189\) | 0.354295 | + | 0.170619i | 0.0257712 | + | 0.0124107i | ||||
\(190\) | 2.88593 | + | 12.6441i | 0.209367 | + | 0.917298i | ||||
\(191\) | 6.79213 | 0.491461 | 0.245731 | − | 0.969338i | \(-0.420972\pi\) | ||||
0.245731 | + | 0.969338i | \(0.420972\pi\) | |||||||
\(192\) | −1.64145 | − | 7.19165i | −0.118461 | − | 0.519013i | ||||
\(193\) | −15.2461 | + | 19.1181i | −1.09744 | + | 1.37615i | −0.177487 | + | 0.984123i | \(0.556797\pi\) |
−0.919954 | + | 0.392025i | \(0.871775\pi\) | |||||||
\(194\) | −7.14124 | + | 31.2878i | −0.512711 | + | 2.24634i | ||||
\(195\) | 0.896307 | − | 3.92698i | 0.0641859 | − | 0.281217i | ||||
\(196\) | −8.20945 | − | 10.2943i | −0.586389 | − | 0.735309i | ||||
\(197\) | 6.77867 | + | 3.26444i | 0.482960 | + | 0.232581i | 0.659489 | − | 0.751714i | \(-0.270773\pi\) |
−0.176529 | + | 0.984295i | \(0.556487\pi\) | |||||||
\(198\) | −4.45045 | + | 2.14323i | −0.316280 | + | 0.152312i | ||||
\(199\) | −14.3765 | + | 18.0276i | −1.01913 | + | 1.27794i | −0.0590340 | + | 0.998256i | \(0.518802\pi\) |
−0.960091 | + | 0.279687i | \(0.909769\pi\) | |||||||
\(200\) | −0.332068 | − | 0.416400i | −0.0234808 | − | 0.0294439i | ||||
\(201\) | 4.63710 | − | 2.23311i | 0.327076 | − | 0.157512i | ||||
\(202\) | 5.47534 | 0.385244 | ||||||||
\(203\) | 1.09753 | − | 1.81104i | 0.0770313 | − | 0.127110i | ||||
\(204\) | 8.27152 | 0.579122 | ||||||||
\(205\) | 8.58879 | − | 4.13614i | 0.599867 | − | 0.288881i | ||||
\(206\) | −4.67583 | − | 5.86331i | −0.325781 | − | 0.408516i | ||||
\(207\) | 1.87165 | − | 2.34697i | 0.130089 | − | 0.163126i | ||||
\(208\) | 12.3464 | − | 5.94569i | 0.856066 | − | 0.412260i | ||||
\(209\) | 12.0681 | + | 5.81168i | 0.834766 | + | 0.402002i | ||||
\(210\) | 0.592011 | + | 0.742358i | 0.0408526 | + | 0.0512276i | ||||
\(211\) | −1.45370 | + | 6.36909i | −0.100077 | + | 0.438466i | 0.899920 | + | 0.436055i | \(0.143625\pi\) |
−0.999997 | + | 0.00241130i | \(0.999232\pi\) | |||||||
\(212\) | 4.67443 | − | 20.4800i | 0.321041 | − | 1.40657i | ||||
\(213\) | 5.04482 | − | 6.32601i | 0.345666 | − | 0.433451i | ||||
\(214\) | −4.97895 | − | 21.8142i | −0.340354 | − | 1.49119i | ||||
\(215\) | 2.86314 | 0.195265 | ||||||||
\(216\) | 0.0337262 | + | 0.147764i | 0.00229477 | + | 0.0100541i | ||||
\(217\) | 3.54426 | + | 1.70683i | 0.240600 | + | 0.115867i | ||||
\(218\) | 26.5521 | + | 12.7868i | 1.79834 | + | 0.866034i | ||||
\(219\) | 1.94853 | + | 8.53706i | 0.131669 | + | 0.576881i | ||||
\(220\) | −5.84731 | −0.394226 | ||||||||
\(221\) | 3.16187 | + | 13.8531i | 0.212690 | + | 0.931857i | ||||
\(222\) | 4.50683 | − | 5.65138i | 0.302478 | − | 0.379296i | ||||
\(223\) | 2.71840 | − | 11.9101i | 0.182038 | − | 0.797560i | −0.798621 | − | 0.601834i | \(-0.794437\pi\) |
0.980659 | − | 0.195725i | \(-0.0627061\pi\) | |||||||
\(224\) | −0.692286 | + | 3.03310i | −0.0462553 | + | 0.202658i | ||||
\(225\) | −2.19094 | − | 2.74736i | −0.146063 | − | 0.183157i | ||||
\(226\) | −0.0312600 | − | 0.0150540i | −0.00207938 | − | 0.00100138i | ||||
\(227\) | 13.0371 | − | 6.27836i | 0.865306 | − | 0.416709i | 0.0520700 | − | 0.998643i | \(-0.483418\pi\) |
0.813236 | + | 0.581934i | \(0.197704\pi\) | |||||||
\(228\) | −6.44150 | + | 8.07739i | −0.426599 | + | 0.534938i | ||||
\(229\) | 6.49636 | + | 8.14618i | 0.429292 | + | 0.538315i | 0.948686 | − | 0.316220i | \(-0.102414\pi\) |
−0.519394 | + | 0.854535i | \(0.673842\pi\) | |||||||
\(230\) | 6.53056 | − | 3.14495i | 0.430612 | − | 0.207372i | ||||
\(231\) | 0.980649 | 0.0645220 | ||||||||
\(232\) | 0.809482 | − | 0.104483i | 0.0531451 | − | 0.00685963i | ||||
\(233\) | −18.5595 | −1.21587 | −0.607935 | − | 0.793987i | \(-0.708002\pi\) | ||||
−0.607935 | + | 0.793987i | \(0.708002\pi\) | |||||||
\(234\) | 5.89687 | − | 2.83979i | 0.385491 | − | 0.185643i | ||||
\(235\) | −6.49158 | − | 8.14018i | −0.423464 | − | 0.531007i | ||||
\(236\) | 12.3346 | − | 15.4671i | 0.802916 | − | 1.00683i | ||||
\(237\) | 6.57640 | − | 3.16703i | 0.427183 | − | 0.205720i | ||||
\(238\) | −3.01785 | − | 1.45332i | −0.195618 | − | 0.0942047i | ||||
\(239\) | −14.8606 | − | 18.6346i | −0.961252 | − | 1.20537i | −0.978652 | − | 0.205523i | \(-0.934111\pi\) |
0.0174007 | − | 0.999849i | \(-0.494461\pi\) | |||||||
\(240\) | −1.12495 | + | 4.92873i | −0.0726152 | + | 0.318148i | ||||
\(241\) | −4.06237 | + | 17.7984i | −0.261680 | + | 1.14650i | 0.657748 | + | 0.753238i | \(0.271509\pi\) |
−0.919428 | + | 0.393258i | \(0.871348\pi\) | |||||||
\(242\) | 5.90457 | − | 7.40409i | 0.379560 | − | 0.475953i | ||||
\(243\) | 0.222521 | + | 0.974928i | 0.0142747 | + | 0.0625417i | ||||
\(244\) | 7.16054 | 0.458407 | ||||||||
\(245\) | 1.85685 | + | 8.13539i | 0.118630 | + | 0.519751i | ||||
\(246\) | 13.9559 | + | 6.72082i | 0.889797 | + | 0.428504i | ||||
\(247\) | −15.9903 | − | 7.70050i | −1.01744 | − | 0.489971i | ||||
\(248\) | 0.337387 | + | 1.47819i | 0.0214241 | + | 0.0938650i | ||||
\(249\) | 3.74978 | 0.237633 | ||||||||
\(250\) | −4.57457 | − | 20.0425i | −0.289321 | − | 1.26760i | ||||
\(251\) | −10.6999 | + | 13.4173i | −0.675372 | + | 0.846889i | −0.994919 | − | 0.100681i | \(-0.967898\pi\) |
0.319547 | + | 0.947570i | \(0.396469\pi\) | |||||||
\(252\) | −0.168312 | + | 0.737421i | −0.0106026 | + | 0.0464532i | ||||
\(253\) | 1.66581 | − | 7.29838i | 0.104728 | − | 0.458845i | ||||
\(254\) | −12.6661 | − | 15.8828i | −0.794740 | − | 0.996573i | ||||
\(255\) | −4.72298 | − | 2.27447i | −0.295765 | − | 0.142433i | ||||
\(256\) | −15.4545 | + | 7.44248i | −0.965904 | + | 0.465155i | ||||
\(257\) | −1.02439 | + | 1.28454i | −0.0638996 | + | 0.0801275i | −0.812754 | − | 0.582607i | \(-0.802033\pi\) |
0.748855 | + | 0.662734i | \(0.230604\pi\) | |||||||
\(258\) | 2.90067 | + | 3.63733i | 0.180588 | + | 0.226450i | ||||
\(259\) | −1.29292 | + | 0.622636i | −0.0803379 | + | 0.0386887i | ||||
\(260\) | 7.74772 | 0.480493 | ||||||||
\(261\) | 5.34086 | − | 0.689364i | 0.330591 | − | 0.0426706i | ||||
\(262\) | −9.81019 | −0.606075 | ||||||||
\(263\) | −6.19347 | + | 2.98262i | −0.381906 | + | 0.183916i | −0.614980 | − | 0.788543i | \(-0.710836\pi\) |
0.233074 | + | 0.972459i | \(0.425122\pi\) | |||||||
\(264\) | 0.235659 | + | 0.295507i | 0.0145038 | + | 0.0181872i | ||||
\(265\) | −8.30057 | + | 10.4086i | −0.509900 | + | 0.639394i | ||||
\(266\) | 3.76938 | − | 1.81524i | 0.231116 | − | 0.111299i | ||||
\(267\) | 9.38092 | + | 4.51762i | 0.574103 | + | 0.276474i | ||||
\(268\) | 6.17241 | + | 7.73996i | 0.377040 | + | 0.472793i | ||||
\(269\) | 0.898416 | − | 3.93622i | 0.0547774 | − | 0.239995i | −0.940126 | − | 0.340827i | \(-0.889293\pi\) |
0.994904 | + | 0.100831i | \(0.0321502\pi\) | |||||||
\(270\) | −0.537299 | + | 2.35406i | −0.0326990 | + | 0.143264i | ||||
\(271\) | 8.04210 | − | 10.0845i | 0.488523 | − | 0.612589i | −0.475074 | − | 0.879946i | \(-0.657579\pi\) |
0.963598 | + | 0.267357i | \(0.0861503\pi\) | |||||||
\(272\) | −3.96845 | − | 17.3869i | −0.240622 | − | 1.05424i | ||||
\(273\) | −1.29936 | −0.0786411 | ||||||||
\(274\) | −5.98066 | − | 26.2030i | −0.361305 | − | 1.58298i | ||||
\(275\) | −7.89533 | − | 3.80219i | −0.476106 | − | 0.229281i | ||||
\(276\) | 5.20227 | + | 2.50528i | 0.313140 | + | 0.150800i | ||||
\(277\) | 0.712674 | + | 3.12243i | 0.0428204 | + | 0.187608i | 0.991815 | − | 0.127684i | \(-0.0407544\pi\) |
−0.948994 | + | 0.315293i | \(0.897897\pi\) | |||||||
\(278\) | −32.6281 | −1.95690 | ||||||||
\(279\) | 2.22603 | + | 9.75289i | 0.133269 | + | 0.583890i | ||||
\(280\) | 0.0452991 | − | 0.0568033i | 0.00270714 | − | 0.00339465i | ||||
\(281\) | −4.28030 | + | 18.7532i | −0.255341 | + | 1.11872i | 0.670828 | + | 0.741613i | \(0.265939\pi\) |
−0.926169 | + | 0.377109i | \(0.876918\pi\) | |||||||
\(282\) | 3.76460 | − | 16.4938i | 0.224178 | − | 0.982190i | ||||
\(283\) | 17.6050 | + | 22.0760i | 1.04651 | + | 1.31228i | 0.948390 | + | 0.317105i | \(0.102711\pi\) |
0.0981179 | + | 0.995175i | \(0.468718\pi\) | |||||||
\(284\) | 14.0221 | + | 6.75271i | 0.832061 | + | 0.400700i | ||||
\(285\) | 5.89914 | − | 2.84088i | 0.349435 | − | 0.168279i | ||||
\(286\) | 10.1765 | − | 12.7610i | 0.601751 | − | 0.754572i | ||||
\(287\) | −1.91733 | − | 2.40426i | −0.113176 | − | 0.141919i | ||||
\(288\) | −7.12803 | + | 3.43268i | −0.420023 | + | 0.202272i | ||||
\(289\) | 1.49242 | 0.0877892 | ||||||||
\(290\) | 12.3412 | + | 4.09569i | 0.724697 | + | 0.240507i | ||||
\(291\) | 16.2019 | 0.949775 | ||||||||
\(292\) | −15.1752 | + | 7.30798i | −0.888060 | + | 0.427667i | ||||
\(293\) | −20.7774 | − | 26.0541i | −1.21383 | − | 1.52210i | −0.785986 | − | 0.618245i | \(-0.787844\pi\) |
−0.427846 | − | 0.903852i | \(-0.640727\pi\) | |||||||
\(294\) | −8.45399 | + | 10.6010i | −0.493047 | + | 0.618261i | ||||
\(295\) | −11.2961 | + | 5.43991i | −0.657683 | + | 0.316724i | ||||
\(296\) | −0.498323 | − | 0.239980i | −0.0289645 | − | 0.0139486i | ||||
\(297\) | 1.55485 | + | 1.94972i | 0.0902214 | + | 0.113134i | ||||
\(298\) | 3.52034 | − | 15.4236i | 0.203928 | − | 0.893466i | ||||
\(299\) | −2.20720 | + | 9.67039i | −0.127646 | + | 0.559253i | ||||
\(300\) | 4.21424 | − | 5.28449i | 0.243309 | − | 0.305100i | ||||
\(301\) | −0.205522 | − | 0.900453i | −0.0118461 | − | 0.0519012i | ||||
\(302\) | 40.2165 | 2.31420 | ||||||||
\(303\) | −0.615101 | − | 2.69493i | −0.0353366 | − | 0.154820i | ||||
\(304\) | 20.0693 | + | 9.66486i | 1.15105 | + | 0.554318i | ||||
\(305\) | −4.08862 | − | 1.96898i | −0.234114 | − | 0.112743i | ||||
\(306\) | −1.89541 | − | 8.30434i | −0.108353 | − | 0.474728i | ||||
\(307\) | −0.940065 | −0.0536523 | −0.0268262 | − | 0.999640i | \(-0.508540\pi\) | ||||
−0.0268262 | + | 0.999640i | \(0.508540\pi\) | |||||||
\(308\) | 0.419733 | + | 1.83897i | 0.0239165 | + | 0.104785i | ||||
\(309\) | −2.36060 | + | 2.96010i | −0.134290 | + | 0.168394i | ||||
\(310\) | −5.37498 | + | 23.5493i | −0.305279 | + | 1.33751i | ||||
\(311\) | −1.94755 | + | 8.53276i | −0.110435 | + | 0.483848i | 0.889217 | + | 0.457485i | \(0.151250\pi\) |
−0.999652 | + | 0.0263630i | \(0.991607\pi\) | |||||||
\(312\) | −0.312249 | − | 0.391548i | −0.0176776 | − | 0.0221671i | ||||
\(313\) | 29.6754 | + | 14.2909i | 1.67735 | + | 0.807771i | 0.997206 | + | 0.0746966i | \(0.0237988\pi\) |
0.680148 | + | 0.733075i | \(0.261915\pi\) | |||||||
\(314\) | −7.29888 | + | 3.51496i | −0.411900 | + | 0.198361i | ||||
\(315\) | 0.298878 | − | 0.374781i | 0.0168399 | − | 0.0211165i | ||||
\(316\) | 8.75378 | + | 10.9769i | 0.492439 | + | 0.617499i | ||||
\(317\) | 21.1355 | − | 10.1783i | 1.18709 | − | 0.571672i | 0.267120 | − | 0.963663i | \(-0.413928\pi\) |
0.919969 | + | 0.391991i | \(0.128214\pi\) | |||||||
\(318\) | −21.6324 | −1.21309 | ||||||||
\(319\) | 11.2541 | − | 7.32775i | 0.630106 | − | 0.410275i | ||||
\(320\) | −8.99219 | −0.502679 | ||||||||
\(321\) | −10.1775 | + | 4.90122i | −0.568052 | + | 0.273559i | ||||
\(322\) | −1.45786 | − | 1.82810i | −0.0812433 | − | 0.101876i | ||||
\(323\) | −14.4011 | + | 18.0584i | −0.801299 | + | 1.00480i | ||||
\(324\) | −1.73300 | + | 0.834568i | −0.0962777 | + | 0.0463649i | ||||
\(325\) | 10.4613 | + | 5.03792i | 0.580291 | + | 0.279454i | ||||
\(326\) | −23.8077 | − | 29.8539i | −1.31859 | − | 1.65345i | ||||
\(327\) | 3.31074 | − | 14.5053i | 0.183084 | − | 0.802145i | ||||
\(328\) | 0.263742 | − | 1.15553i | 0.0145627 | − | 0.0638035i | ||||
\(329\) | −2.09409 | + | 2.62591i | −0.115451 | + | 0.144771i | ||||
\(330\) | 1.33991 | + | 5.87052i | 0.0737595 | + | 0.323161i | ||||
\(331\) | −26.4233 | −1.45236 | −0.726178 | − | 0.687506i | \(-0.758705\pi\) | ||||
−0.726178 | + | 0.687506i | \(0.758705\pi\) | |||||||
\(332\) | 1.60496 | + | 7.03181i | 0.0880839 | + | 0.385921i | ||||
\(333\) | −3.28788 | − | 1.58336i | −0.180174 | − | 0.0867674i | ||||
\(334\) | −5.79490 | − | 2.79068i | −0.317083 | − | 0.152699i | ||||
\(335\) | −1.39610 | − | 6.11673i | −0.0762773 | − | 0.334192i | ||||
\(336\) | 1.63083 | 0.0889689 | ||||||||
\(337\) | 1.42909 | + | 6.26127i | 0.0778476 | + | 0.341073i | 0.998821 | − | 0.0485537i | \(-0.0154612\pi\) |
−0.920973 | + | 0.389627i | \(0.872604\pi\) | |||||||
\(338\) | 2.57097 | − | 3.22389i | 0.139842 | − | 0.175357i | ||||
\(339\) | −0.00389775 | + | 0.0170771i | −0.000211697 | + | 0.000927503i | ||||
\(340\) | 2.24370 | − | 9.83031i | 0.121682 | − | 0.533123i | ||||
\(341\) | 15.5542 | + | 19.5044i | 0.842310 | + | 1.05622i | ||||
\(342\) | 9.58551 | + | 4.61614i | 0.518325 | + | 0.249612i | ||||
\(343\) | 4.90534 | − | 2.36229i | 0.264863 | − | 0.127552i | ||||
\(344\) | 0.221952 | − | 0.278319i | 0.0119668 | − | 0.0150059i | ||||
\(345\) | −2.28157 | − | 2.86100i | −0.122836 | − | 0.154031i | ||||
\(346\) | −14.3297 | + | 6.90082i | −0.770370 | + | 0.370990i | ||||
\(347\) | −5.30429 | −0.284749 | −0.142375 | − | 0.989813i | \(-0.545474\pi\) | ||||
−0.142375 | + | 0.989813i | \(0.545474\pi\) | |||||||
\(348\) | 3.57870 | + | 9.72042i | 0.191839 | + | 0.521069i | ||||
\(349\) | 13.3972 | 0.717134 | 0.358567 | − | 0.933504i | \(-0.383265\pi\) | ||||
0.358567 | + | 0.933504i | \(0.383265\pi\) | |||||||
\(350\) | −2.46605 | + | 1.18759i | −0.131816 | + | 0.0634793i | ||||
\(351\) | −2.06018 | − | 2.58339i | −0.109964 | − | 0.137891i | ||||
\(352\) | −12.3012 | + | 15.4252i | −0.655657 | + | 0.822167i | ||||
\(353\) | 14.4975 | − | 6.98162i | 0.771623 | − | 0.371594i | −0.00627832 | − | 0.999980i | \(-0.501998\pi\) |
0.777902 | + | 0.628386i | \(0.216284\pi\) | |||||||
\(354\) | −18.3550 | − | 8.83930i | −0.975557 | − | 0.469803i | ||||
\(355\) | −6.14972 | − | 7.71151i | −0.326393 | − | 0.409284i | ||||
\(356\) | −4.45651 | + | 19.5253i | −0.236195 | + | 1.03484i | ||||
\(357\) | −0.376290 | + | 1.64863i | −0.0199154 | + | 0.0872550i | ||||
\(358\) | 13.0480 | − | 16.3616i | 0.689607 | − | 0.864740i | ||||
\(359\) | 2.68955 | + | 11.7837i | 0.141949 | + | 0.621920i | 0.994981 | + | 0.100061i | \(0.0319039\pi\) |
−0.853032 | + | 0.521858i | \(0.825239\pi\) | |||||||
\(360\) | 0.184759 | 0.00973765 | ||||||||
\(361\) | −2.19173 | − | 9.60259i | −0.115354 | − | 0.505400i | ||||
\(362\) | −21.8508 | − | 10.5228i | −1.14845 | − | 0.553067i | ||||
\(363\) | −4.30757 | − | 2.07442i | −0.226089 | − | 0.108879i | ||||
\(364\) | −0.556148 | − | 2.43664i | −0.0291501 | − | 0.127715i | ||||
\(365\) | 10.6744 | 0.558726 | ||||||||
\(366\) | −1.64083 | − | 7.18896i | −0.0857677 | − | 0.375773i | ||||
\(367\) | −4.56482 | + | 5.72410i | −0.238282 | + | 0.298796i | −0.886566 | − | 0.462603i | \(-0.846916\pi\) |
0.648284 | + | 0.761399i | \(0.275487\pi\) | |||||||
\(368\) | 2.77025 | − | 12.1373i | 0.144409 | − | 0.632698i | ||||
\(369\) | 1.74014 | − | 7.62404i | 0.0905880 | − | 0.396892i | ||||
\(370\) | −5.49389 | − | 6.88913i | −0.285614 | − | 0.358149i | ||||
\(371\) | 3.86931 | + | 1.86336i | 0.200885 | + | 0.0967410i | ||||
\(372\) | −17.3364 | + | 8.34877i | −0.898850 | + | 0.432864i | ||||
\(373\) | −5.15974 | + | 6.47011i | −0.267161 | + | 0.335010i | −0.897258 | − | 0.441507i | \(-0.854444\pi\) |
0.630096 | + | 0.776517i | \(0.283015\pi\) | |||||||
\(374\) | −13.2440 | − | 16.6075i | −0.684833 | − | 0.858754i | ||||
\(375\) | −9.35089 | + | 4.50315i | −0.482878 | + | 0.232542i | ||||
\(376\) | −1.29452 | −0.0667596 | ||||||||
\(377\) | −14.9117 | + | 9.70931i | −0.767991 | + | 0.500055i | ||||
\(378\) | 0.778916 | 0.0400631 | ||||||||
\(379\) | 3.47602 | − | 1.67396i | 0.178551 | − | 0.0859858i | −0.342473 | − | 0.939528i | \(-0.611264\pi\) |
0.521024 | + | 0.853542i | \(0.325550\pi\) | |||||||
\(380\) | 7.85229 | + | 9.84647i | 0.402814 | + | 0.505113i | ||||
\(381\) | −6.39449 | + | 8.01844i | −0.327600 | + | 0.410797i | ||||
\(382\) | 12.1214 | − | 5.83734i | 0.620183 | − | 0.298665i | ||||
\(383\) | 4.98332 | + | 2.39984i | 0.254636 | + | 0.122626i | 0.556848 | − | 0.830615i | \(-0.312011\pi\) |
−0.302212 | + | 0.953241i | \(0.597725\pi\) | |||||||
\(384\) | 0.755435 | + | 0.947286i | 0.0385507 | + | 0.0483410i | ||||
\(385\) | 0.266008 | − | 1.16546i | 0.0135570 | − | 0.0593971i | ||||
\(386\) | −10.7780 | + | 47.2214i | −0.548585 | + | 2.40351i | ||||
\(387\) | 1.46441 | − | 1.83631i | 0.0744402 | − | 0.0933450i | ||||
\(388\) | 6.93468 | + | 30.3828i | 0.352055 | + | 1.54245i | ||||
\(389\) | 8.73816 | 0.443042 | 0.221521 | − | 0.975156i | \(-0.428898\pi\) | ||||
0.221521 | + | 0.975156i | \(0.428898\pi\) | |||||||
\(390\) | −1.77538 | − | 7.77847i | −0.0899001 | − | 0.393878i | ||||
\(391\) | 11.6306 | + | 5.60100i | 0.588184 | + | 0.283255i | ||||
\(392\) | 0.934765 | + | 0.450159i | 0.0472128 | + | 0.0227365i | ||||
\(393\) | 1.10208 | + | 4.82852i | 0.0555925 | + | 0.243567i | ||||
\(394\) | 14.9029 | 0.750797 | ||||||||
\(395\) | −1.97997 | − | 8.67482i | −0.0996231 | − | 0.436477i | ||||
\(396\) | −2.99072 | + | 3.75025i | −0.150290 | + | 0.188457i | ||||
\(397\) | 1.50235 | − | 6.58223i | 0.0754008 | − | 0.330353i | −0.923133 | − | 0.384480i | \(-0.874381\pi\) |
0.998534 | + | 0.0541277i | \(0.0172378\pi\) | |||||||
\(398\) | −10.1632 | + | 44.5280i | −0.509436 | + | 2.23199i | ||||
\(399\) | −1.31690 | − | 1.65134i | −0.0659276 | − | 0.0826706i | ||||
\(400\) | −13.1300 | − | 6.32307i | −0.656499 | − | 0.316153i | ||||
\(401\) | 21.1650 | − | 10.1925i | 1.05693 | − | 0.508992i | 0.177059 | − | 0.984200i | \(-0.443342\pi\) |
0.879873 | + | 0.475209i | \(0.157627\pi\) | |||||||
\(402\) | 6.35627 | − | 7.97051i | 0.317022 | − | 0.397533i | ||||
\(403\) | −20.6095 | − | 25.8434i | −1.02663 | − | 1.28735i | ||||
\(404\) | 4.79042 | − | 2.30694i | 0.238332 | − | 0.114775i | ||||
\(405\) | 1.21902 | 0.0605734 | ||||||||
\(406\) | 0.402211 | − | 4.17526i | 0.0199614 | − | 0.207215i | ||||
\(407\) | −9.10048 | −0.451094 | ||||||||
\(408\) | −0.587222 | + | 0.282791i | −0.0290718 | + | 0.0140003i | ||||
\(409\) | −15.2154 | − | 19.0795i | −0.752355 | − | 0.943423i | 0.247320 | − | 0.968934i | \(-0.420450\pi\) |
−0.999675 | + | 0.0255111i | \(0.991879\pi\) | |||||||
\(410\) | 11.7730 | − | 14.7629i | 0.581428 | − | 0.729087i | ||||
\(411\) | −12.2251 | + | 5.88729i | −0.603019 | + | 0.290399i | ||||
\(412\) | −6.56133 | − | 3.15977i | −0.323254 | − | 0.155671i | ||||
\(413\) | 2.52170 | + | 3.16211i | 0.124085 | + | 0.155597i | ||||
\(414\) | 1.32313 | − | 5.79700i | 0.0650282 | − | 0.284907i | ||||
\(415\) | 1.01715 | − | 4.45644i | 0.0499301 | − | 0.218758i | ||||
\(416\) | 16.2992 | − | 20.4385i | 0.799132 | − | 1.00208i | ||||
\(417\) | 3.66545 | + | 16.0594i | 0.179498 | + | 0.786431i | ||||
\(418\) | 26.5316 | 1.29770 | ||||||||
\(419\) | −3.72073 | − | 16.3016i | −0.181769 | − | 0.796384i | −0.980788 | − | 0.195077i | \(-0.937504\pi\) |
0.799019 | − | 0.601306i | \(-0.205353\pi\) | |||||||
\(420\) | 0.830735 | + | 0.400061i | 0.0405357 | + | 0.0195210i | ||||
\(421\) | 20.8550 | + | 10.0432i | 1.01641 | + | 0.489478i | 0.866476 | − | 0.499218i | \(-0.166379\pi\) |
0.149935 | + | 0.988696i | \(0.452094\pi\) | |||||||
\(422\) | 2.87946 | + | 12.6158i | 0.140170 | + | 0.614125i | ||||
\(423\) | −8.54106 | −0.415280 | ||||||||
\(424\) | 0.368329 | + | 1.61375i | 0.0178876 | + | 0.0783709i | ||||
\(425\) | 9.42167 | − | 11.8144i | 0.457018 | − | 0.573083i | ||||
\(426\) | 3.56634 | − | 15.6252i | 0.172790 | − | 0.757042i | ||||
\(427\) | −0.325749 | + | 1.42720i | −0.0157641 | + | 0.0690671i | ||||
\(428\) | −13.5472 | − | 16.9876i | −0.654827 | − | 0.821127i | ||||
\(429\) | −7.42411 | − | 3.57527i | −0.358440 | − | 0.172615i | ||||
\(430\) | 5.10962 | − | 2.46066i | 0.246408 | − | 0.118664i | ||||
\(431\) | 23.4128 | − | 29.3588i | 1.12776 | − | 1.41416i | 0.230267 | − | 0.973127i | \(-0.426040\pi\) |
0.897490 | − | 0.441035i | \(-0.145389\pi\) | |||||||
\(432\) | 2.58572 | + | 3.24240i | 0.124406 | + | 0.156000i | ||||
\(433\) | −15.4657 | + | 7.44790i | −0.743235 | + | 0.357923i | −0.766874 | − | 0.641797i | \(-0.778189\pi\) |
0.0236390 | + | 0.999721i | \(0.492475\pi\) | |||||||
\(434\) | 7.79205 | 0.374030 | ||||||||
\(435\) | 0.629467 | − | 6.53435i | 0.0301806 | − | 0.313298i | ||||
\(436\) | 28.6182 | 1.37056 | ||||||||
\(437\) | −14.5270 | + | 6.99581i | −0.694918 | + | 0.334655i | ||||
\(438\) | 10.8144 | + | 13.5608i | 0.516730 | + | 0.647959i | ||||
\(439\) | 3.30350 | − | 4.14245i | 0.157667 | − | 0.197709i | −0.696723 | − | 0.717340i | \(-0.745359\pi\) |
0.854390 | + | 0.519632i | \(0.173931\pi\) | |||||||
\(440\) | 0.415120 | − | 0.199911i | 0.0197901 | − | 0.00953040i | ||||
\(441\) | 6.16746 | + | 2.97009i | 0.293689 | + | 0.141433i | ||||
\(442\) | 17.5484 | + | 22.0050i | 0.834694 | + | 1.04667i | ||||
\(443\) | −3.07345 | + | 13.4656i | −0.146024 | + | 0.639772i | 0.847943 | + | 0.530088i | \(0.177841\pi\) |
−0.993966 | + | 0.109684i | \(0.965016\pi\) | |||||||
\(444\) | 1.56194 | − | 6.84331i | 0.0741265 | − | 0.324769i | ||||
\(445\) | 7.91361 | − | 9.92336i | 0.375141 | − | 0.470412i | ||||
\(446\) | −5.38456 | − | 23.5913i | −0.254966 | − | 1.11708i | ||||
\(447\) | −7.98689 | −0.377767 | ||||||||
\(448\) | 0.645479 | + | 2.82803i | 0.0304960 | + | 0.133612i | ||||
\(449\) | −15.5953 | − | 7.51031i | −0.735989 | − | 0.354433i | 0.0280478 | − | 0.999607i | \(-0.491071\pi\) |
−0.764036 | + | 0.645173i | \(0.776785\pi\) | |||||||
\(450\) | −6.27115 | − | 3.02003i | −0.295625 | − | 0.142365i | ||||
\(451\) | −4.33953 | − | 19.0127i | −0.204340 | − | 0.895273i | ||||
\(452\) | −0.0336923 | −0.00158475 | ||||||||
\(453\) | −4.51793 | − | 19.7943i | −0.212271 | − | 0.930019i | ||||
\(454\) | 17.8706 | − | 22.4090i | 0.838707 | − | 1.05171i | ||||
\(455\) | −0.352461 | + | 1.54423i | −0.0165236 | + | 0.0723948i | ||||
\(456\) | 0.181149 | − | 0.793666i | 0.00848309 | − | 0.0371668i | ||||
\(457\) | −12.7243 | − | 15.9558i | −0.595219 | − | 0.746381i | 0.389406 | − | 0.921066i | \(-0.372680\pi\) |
−0.984624 | + | 0.174686i | \(0.944109\pi\) | |||||||
\(458\) | 18.5946 | + | 8.95468i | 0.868868 | + | 0.418425i | ||||
\(459\) | −3.87442 | + | 1.86582i | −0.180842 | + | 0.0870891i | ||||
\(460\) | 4.38856 | − | 5.50308i | 0.204618 | − | 0.256583i | ||||
\(461\) | 10.5622 | + | 13.2446i | 0.491931 | + | 0.616861i | 0.964388 | − | 0.264492i | \(-0.0852043\pi\) |
−0.472457 | + | 0.881354i | \(0.656633\pi\) | |||||||
\(462\) | 1.75009 | − | 0.842797i | 0.0814213 | − | 0.0392105i | ||||
\(463\) | 26.1995 | 1.21759 | 0.608796 | − | 0.793327i | \(-0.291653\pi\) | ||||
0.608796 | + | 0.793327i | \(0.291653\pi\) | |||||||
\(464\) | 18.7156 | − | 12.1861i | 0.868849 | − | 0.565726i | ||||
\(465\) | 12.1947 | 0.565515 | ||||||||
\(466\) | −33.1216 | + | 15.9505i | −1.53433 | + | 0.738893i | ||||
\(467\) | 17.6788 | + | 22.1685i | 0.818077 | + | 1.02584i | 0.999103 | + | 0.0423574i | \(0.0134868\pi\) |
−0.181026 | + | 0.983478i | \(0.557942\pi\) | |||||||
\(468\) | 3.96272 | − | 4.96910i | 0.183177 | − | 0.229697i | ||||
\(469\) | −1.82348 | + | 0.878143i | −0.0842006 | + | 0.0405489i | ||||
\(470\) | −18.5809 | − | 8.94809i | −0.857073 | − | 0.412745i | ||||
\(471\) | 2.55000 | + | 3.19760i | 0.117498 | + | 0.147338i | ||||
\(472\) | −0.346877 | + | 1.51977i | −0.0159663 | + | 0.0699530i | ||||
\(473\) | 1.30336 | − | 5.71038i | 0.0599284 | − | 0.262563i | ||||
\(474\) | 9.01454 | − | 11.3039i | 0.414051 | − | 0.519204i | ||||
\(475\) | 4.19993 | + | 18.4011i | 0.192706 | + | 0.844300i | ||||
\(476\) | −3.25267 | −0.149086 | ||||||||
\(477\) | 2.43019 | + | 10.6474i | 0.111271 | + | 0.487509i | ||||
\(478\) | −42.5356 | − | 20.4841i | −1.94553 | − | 0.936919i | ||||
\(479\) | −30.3344 | − | 14.6083i | −1.38601 | − | 0.667469i | −0.415741 | − | 0.909483i | \(-0.636478\pi\) |
−0.970273 | + | 0.242014i | \(0.922192\pi\) | |||||||
\(480\) | 2.14605 | + | 9.40246i | 0.0979534 | + | 0.429162i | ||||
\(481\) | 12.0582 | 0.549806 | ||||||||
\(482\) | 8.04666 | + | 35.2547i | 0.366515 | + | 1.60581i | ||||
\(483\) | −0.736003 | + | 0.922918i | −0.0334893 | + | 0.0419942i | ||||
\(484\) | 2.04636 | − | 8.96569i | 0.0930164 | − | 0.407531i | ||||
\(485\) | 4.39488 | − | 19.2552i | 0.199561 | − | 0.874336i | ||||
\(486\) | 1.23500 | + | 1.54863i | 0.0560205 | + | 0.0702475i | ||||
\(487\) | 20.9826 | + | 10.1047i | 0.950814 | + | 0.457888i | 0.843971 | − | 0.536388i | \(-0.180212\pi\) |
0.106843 | + | 0.994276i | \(0.465926\pi\) | |||||||
\(488\) | −0.508351 | + | 0.244809i | −0.0230120 | + | 0.0110820i | ||||
\(489\) | −12.0194 | + | 15.0718i | −0.543534 | + | 0.681570i | ||||
\(490\) | 10.3056 | + | 12.9228i | 0.465557 | + | 0.583791i | ||||
\(491\) | 13.3643 | − | 6.43593i | 0.603124 | − | 0.290449i | −0.107296 | − | 0.994227i | \(-0.534219\pi\) |
0.710420 | + | 0.703778i | \(0.248505\pi\) | |||||||
\(492\) | 15.0418 | 0.678139 | ||||||||
\(493\) | 8.00082 | + | 21.7317i | 0.360339 | + | 0.978747i | ||||
\(494\) | −35.1545 | −1.58168 | ||||||||
\(495\) | 2.73891 | − | 1.31899i | 0.123105 | − | 0.0592842i | ||||
\(496\) | 25.8668 | + | 32.4360i | 1.16145 | + | 1.45642i | ||||
\(497\) | −1.98381 | + | 2.48762i | −0.0889862 | + | 0.111585i | ||||
\(498\) | 6.69194 | − | 3.22267i | 0.299873 | − | 0.144411i | ||||
\(499\) | −20.8748 | − | 10.0528i | −0.934484 | − | 0.450024i | −0.0962638 | − | 0.995356i | \(-0.530689\pi\) |
−0.838220 | + | 0.545332i | \(0.816404\pi\) | |||||||
\(500\) | −12.4469 | − | 15.6079i | −0.556642 | − | 0.698007i | ||||
\(501\) | −0.722556 | + | 3.16572i | −0.0322814 | + | 0.141434i | ||||
\(502\) | −7.56410 | + | 33.1405i | −0.337602 | + | 1.47913i | ||||
\(503\) | −9.67873 | + | 12.1367i | −0.431553 | + | 0.541151i | −0.949295 | − | 0.314386i | \(-0.898201\pi\) |
0.517742 | + | 0.855537i | \(0.326773\pi\) | |||||||
\(504\) | −0.0132624 | − | 0.0581063i | −0.000590754 | − | 0.00258826i | ||||
\(505\) | −3.36965 | −0.149948 | ||||||||
\(506\) | −3.29960 | − | 14.4565i | −0.146685 | − | 0.642668i | ||||
\(507\) | −1.87561 | − | 0.903244i | −0.0832986 | − | 0.0401145i | ||||
\(508\) | −17.7736 | − | 8.55930i | −0.788575 | − | 0.379758i | ||||
\(509\) | −7.19126 | − | 31.5070i | −0.318747 | − | 1.39652i | −0.839753 | − | 0.542969i | \(-0.817300\pi\) |
0.521006 | − | 0.853553i | \(-0.325557\pi\) | |||||||
\(510\) | −10.3835 | −0.459787 | ||||||||
\(511\) | −0.766234 | − | 3.35709i | −0.0338962 | − | 0.148509i | ||||
\(512\) | −19.6732 | + | 24.6694i | −0.869441 | + | 1.09024i | ||||
\(513\) | 1.19520 | − | 5.23651i | 0.0527693 | − | 0.231198i | ||||
\(514\) | −0.724172 | + | 3.17281i | −0.0319419 | + | 0.139946i | ||||
\(515\) | 2.87762 | + | 3.60842i | 0.126803 | + | 0.159006i | ||||
\(516\) | 4.07035 | + | 1.96018i | 0.179187 | + | 0.0862920i | ||||
\(517\) | −19.1902 | + | 9.24152i | −0.843985 | + | 0.406442i | ||||
\(518\) | −1.77225 | + | 2.22234i | −0.0778683 | + | 0.0976438i | ||||
\(519\) | 5.00635 | + | 6.27776i | 0.219754 | + | 0.275563i | ||||
\(520\) | −0.550037 | + | 0.264884i | −0.0241207 | + | 0.0116159i | ||||
\(521\) | −0.674556 | −0.0295529 | −0.0147764 | − | 0.999891i | \(-0.504704\pi\) | ||||
−0.0147764 | + | 0.999891i | \(0.504704\pi\) | |||||||
\(522\) | 8.93894 | − | 5.82033i | 0.391247 | − | 0.254749i | ||||
\(523\) | −6.73109 | −0.294330 | −0.147165 | − | 0.989112i | \(-0.547015\pi\) | ||||
−0.147165 | + | 0.989112i | \(0.547015\pi\) | |||||||
\(524\) | −8.58301 | + | 4.13336i | −0.374950 | + | 0.180567i | ||||
\(525\) | 0.861561 | + | 1.08036i | 0.0376016 | + | 0.0471509i | ||||
\(526\) | −8.48964 | + | 10.6457i | −0.370166 | + | 0.464173i | ||||
\(527\) | −38.7585 | + | 18.6651i | −1.68835 | + | 0.813066i | ||||
\(528\) | 9.31797 | + | 4.48730i | 0.405513 | + | 0.195285i | ||||
\(529\) | −8.72177 | − | 10.9368i | −0.379208 | − | 0.475511i | ||||
\(530\) | −5.86794 | + | 25.7091i | −0.254887 | + | 1.11673i | ||||
\(531\) | −2.28865 | + | 10.0272i | −0.0993190 | + | 0.435145i | ||||
\(532\) | 2.53304 | − | 3.17633i | 0.109821 | − | 0.137711i | ||||
\(533\) | 5.74989 | + | 25.1919i | 0.249056 | + | 1.09118i | ||||
\(534\) | 20.6239 | 0.892485 | ||||||||
\(535\) | 3.06416 | + | 13.4250i | 0.132475 | + | 0.580411i | ||||
\(536\) | −0.702818 | − | 0.338459i | −0.0303571 | − | 0.0146192i | ||||
\(537\) | −9.51892 | − | 4.58407i | −0.410772 | − | 0.197817i | ||||
\(538\) | −1.77956 | − | 7.79678i | −0.0767224 | − | 0.336143i | ||||
\(539\) | 17.0709 | 0.735294 | ||||||||
\(540\) | 0.521757 | + | 2.28597i | 0.0224529 | + | 0.0983724i | ||||
\(541\) | −9.76755 | + | 12.2481i | −0.419940 | + | 0.526588i | −0.946133 | − | 0.323777i | \(-0.895047\pi\) |
0.526194 | + | 0.850365i | \(0.323619\pi\) | |||||||
\(542\) | 5.68522 | − | 24.9086i | 0.244201 | − | 1.06991i | ||||
\(543\) | −2.72454 | + | 11.9370i | −0.116921 | + | 0.512265i | ||||
\(544\) | −21.2122 | − | 26.5993i | −0.909466 | − | 1.14043i | ||||
\(545\) | −16.3408 | − | 7.86931i | −0.699963 | − | 0.337084i | ||||
\(546\) | −2.31887 | + | 1.11671i | −0.0992386 | + | 0.0477908i | ||||
\(547\) | −8.06654 | + | 10.1151i | −0.344901 | + | 0.432492i | −0.923781 | − | 0.382921i | \(-0.874918\pi\) |
0.578881 | + | 0.815412i | \(0.303490\pi\) | |||||||
\(548\) | −16.2727 | − | 20.4053i | −0.695136 | − | 0.871673i | ||||
\(549\) | −3.35403 | + | 1.61522i | −0.143147 | + | 0.0689358i | ||||
\(550\) | −17.3579 | −0.740142 | ||||||||
\(551\) | −27.4524 | − | 9.11068i | −1.16951 | − | 0.388128i | ||||
\(552\) | −0.454979 | −0.0193652 | ||||||||
\(553\) | −2.58609 | + | 1.24539i | −0.109972 | + | 0.0529595i | ||||
\(554\) | 3.95535 | + | 4.95985i | 0.168047 | + | 0.210724i | ||||
\(555\) | −2.77360 | + | 3.47799i | −0.117733 | + | 0.147632i | ||||
\(556\) | −28.5466 | + | 13.7473i | −1.21064 | + | 0.583016i | ||||
\(557\) | −8.78368 | − | 4.23000i | −0.372177 | − | 0.179231i | 0.238440 | − | 0.971157i | \(-0.423364\pi\) |
−0.610616 | + | 0.791926i | \(0.709078\pi\) | |||||||
\(558\) | 12.3545 | + | 15.4921i | 0.523009 | + | 0.655832i | ||||
\(559\) | −1.72695 | + | 7.56628i | −0.0730424 | + | 0.320019i | ||||
\(560\) | 0.442373 | − | 1.93816i | 0.0186937 | − | 0.0819022i | ||||
\(561\) | −6.68628 | + | 8.38434i | −0.282295 | + | 0.353987i | ||||
\(562\) | 8.47832 | + | 37.1459i | 0.357636 | + | 1.56691i | ||||
\(563\) | 39.5811 | 1.66814 | 0.834072 | − | 0.551656i | \(-0.186004\pi\) | ||||
0.834072 | + | 0.551656i | \(0.186004\pi\) | |||||||
\(564\) | −3.65570 | − | 16.0167i | −0.153933 | − | 0.674424i | ||||
\(565\) | 0.0192381 | + | 0.00926458i | 0.000809353 | + | 0.000389764i | ||||
\(566\) | 50.3909 | + | 24.2670i | 2.11809 | + | 1.02002i | ||||
\(567\) | −0.0875036 | − | 0.383378i | −0.00367480 | − | 0.0161004i | ||||
\(568\) | −1.22634 | −0.0514563 | ||||||||
\(569\) | 6.44938 | + | 28.2566i | 0.270372 | + | 1.18458i | 0.909575 | + | 0.415540i | \(0.136407\pi\) |
−0.639203 | + | 0.769038i | \(0.720736\pi\) | |||||||
\(570\) | 8.08619 | − | 10.1398i | 0.338693 | − | 0.424708i | ||||
\(571\) | 6.72499 | − | 29.4641i | 0.281432 | − | 1.23303i | −0.614526 | − | 0.788897i | \(-0.710653\pi\) |
0.895958 | − | 0.444138i | \(-0.146490\pi\) | |||||||
\(572\) | 3.52691 | − | 15.4524i | 0.147467 | − | 0.646097i | ||||
\(573\) | −4.23482 | − | 5.31030i | −0.176912 | − | 0.221841i | ||||
\(574\) | −5.48799 | − | 2.64288i | −0.229064 | − | 0.110312i | ||||
\(575\) | 9.50401 | − | 4.57689i | 0.396344 | − | 0.190869i | ||||
\(576\) | −4.59923 | + | 5.76726i | −0.191635 | + | 0.240302i | ||||
\(577\) | −16.1799 | − | 20.2889i | −0.673577 | − | 0.844639i | 0.321168 | − | 0.947022i | \(-0.395925\pi\) |
−0.994745 | + | 0.102383i | \(0.967353\pi\) | |||||||
\(578\) | 2.66340 | − | 1.28262i | 0.110783 | − | 0.0533501i | ||||
\(579\) | 24.4529 | 1.01623 | ||||||||
\(580\) | 12.5230 | − | 1.61639i | 0.519990 | − | 0.0671170i | ||||
\(581\) | −1.47456 | −0.0611749 | ||||||||
\(582\) | 28.9143 | − | 13.9244i | 1.19854 | − | 0.577185i | ||||
\(583\) | 16.9808 | + | 21.2932i | 0.703271 | + | 0.881874i | ||||
\(584\) | 0.827487 | − | 1.03764i | 0.0342416 | − | 0.0429377i | ||||
\(585\) | −3.62907 | + | 1.74767i | −0.150044 | + | 0.0722572i | ||||
\(586\) | −59.4714 | − | 28.6399i | −2.45674 | − | 1.18310i | ||||
\(587\) | 0.483492 | + | 0.606280i | 0.0199559 | + | 0.0250239i | 0.791709 | − | 0.610898i | \(-0.209191\pi\) |
−0.771753 | + | 0.635922i | \(0.780620\pi\) | |||||||
\(588\) | −2.92992 | + | 12.8368i | −0.120828 | + | 0.529381i | ||||
\(589\) | 11.9564 | − | 52.3845i | 0.492656 | − | 2.15847i | ||||
\(590\) | −15.4840 | + | 19.4163i | −0.637466 | + | 0.799358i | ||||
\(591\) | −1.67419 | − | 7.33512i | −0.0688671 | − | 0.301727i | ||||
\(592\) | −15.1342 | −0.622010 | ||||||||
\(593\) | 6.10600 | + | 26.7521i | 0.250743 | + | 1.09858i | 0.930832 | + | 0.365449i | \(0.119084\pi\) |
−0.680088 | + | 0.733130i | \(0.738058\pi\) | |||||||
\(594\) | 4.45045 | + | 2.14323i | 0.182604 | + | 0.0879376i | ||||
\(595\) | 1.85725 | + | 0.894406i | 0.0761400 | + | 0.0366671i | ||||
\(596\) | −3.41851 | − | 14.9775i | −0.140028 | − | 0.613501i | ||||
\(597\) | 23.0582 | 0.943708 | ||||||||
\(598\) | 4.37198 | + | 19.1549i | 0.178784 | + | 0.783302i | ||||
\(599\) | 26.9705 | − | 33.8200i | 1.10199 | − | 1.38185i | 0.185090 | − | 0.982722i | \(-0.440742\pi\) |
0.916896 | − | 0.399125i | \(-0.130686\pi\) | |||||||
\(600\) | −0.118514 | + | 0.519242i | −0.00483830 | + | 0.0211980i | ||||
\(601\) | 7.35145 | − | 32.2088i | 0.299872 | − | 1.31382i | −0.570447 | − | 0.821335i | \(-0.693230\pi\) |
0.870318 | − | 0.492490i | \(-0.163913\pi\) | |||||||
\(602\) | −1.14065 | − | 1.43033i | −0.0464896 | − | 0.0582961i | ||||
\(603\) | −4.63710 | − | 2.23311i | −0.188837 | − | 0.0909393i | ||||
\(604\) | 35.1857 | − | 16.9446i | 1.43169 | − | 0.689464i | ||||
\(605\) | −3.63381 | + | 4.55665i | −0.147735 | + | 0.185254i | ||||
\(606\) | −3.41382 | − | 4.28079i | −0.138677 | − | 0.173895i | ||||
\(607\) | 15.8783 | − | 7.64658i | 0.644480 | − | 0.310365i | −0.0829433 | − | 0.996554i | \(-0.526432\pi\) |
0.727423 | + | 0.686189i | \(0.240718\pi\) | |||||||
\(608\) | 42.4942 | 1.72337 | ||||||||
\(609\) | −2.10023 | + | 0.271084i | −0.0851055 | + | 0.0109849i | ||||
\(610\) | −8.98883 | −0.363947 | ||||||||
\(611\) | 25.4271 | − | 12.2451i | 1.02867 | − | 0.495382i | ||||
\(612\) | −5.15721 | − | 6.46693i | −0.208468 | − | 0.261410i | ||||
\(613\) | 23.7282 | − | 29.7542i | 0.958371 | − | 1.20176i | −0.0210185 | − | 0.999779i | \(-0.506691\pi\) |
0.979390 | − | 0.201980i | \(-0.0647377\pi\) | |||||||
\(614\) | −1.67766 | + | 0.807917i | −0.0677048 | + | 0.0326049i | ||||
\(615\) | −8.58879 | − | 4.13614i | −0.346334 | − | 0.166785i | ||||
\(616\) | −0.0926700 | − | 0.116204i | −0.00373378 | − | 0.00468201i | ||||
\(617\) | 1.14817 | − | 5.03046i | 0.0462235 | − | 0.202519i | −0.946543 | − | 0.322577i | \(-0.895451\pi\) |
0.992767 | + | 0.120058i | \(0.0383081\pi\) | |||||||
\(618\) | −1.66879 | + | 7.31143i | −0.0671284 | + | 0.294109i | ||||
\(619\) | −18.4979 | + | 23.1956i | −0.743494 | + | 0.932312i | −0.999409 | − | 0.0343876i | \(-0.989052\pi\) |
0.255915 | + | 0.966699i | \(0.417623\pi\) | |||||||
\(620\) | 5.21951 | + | 22.8682i | 0.209620 | + | 0.918407i | ||||
\(621\) | −3.00189 | −0.120462 | ||||||||
\(622\) | 3.85766 | + | 16.9015i | 0.154678 | + | 0.677688i | ||||
\(623\) | −3.68893 | − | 1.77650i | −0.147794 | − | 0.0711738i | ||||
\(624\) | −12.3464 | − | 5.94569i | −0.494250 | − | 0.238018i | ||||
\(625\) | −1.09440 | − | 4.79488i | −0.0437760 | − | 0.191795i | ||||
\(626\) | 65.2414 | 2.60757 | ||||||||
\(627\) | −2.98057 | − | 13.0587i | −0.119032 | − | 0.521515i | ||||
\(628\) | −4.90488 | + | 6.15053i | −0.195726 | + | 0.245433i | ||||
\(629\) | 3.49199 | − | 15.2994i | 0.139235 | − | 0.610028i | ||||
\(630\) | 0.211286 | − | 0.925705i | 0.00841784 | − | 0.0368810i | ||||
\(631\) | 6.21623 | + | 7.79490i | 0.247464 | + | 0.310310i | 0.890014 | − | 0.455934i | \(-0.150695\pi\) |
−0.642550 | + | 0.766244i | \(0.722123\pi\) | |||||||
\(632\) | −0.996745 | − | 0.480007i | −0.0396484 | − | 0.0190937i | ||||
\(633\) | 5.88592 | − | 2.83451i | 0.233945 | − | 0.112662i | ||||
\(634\) | 28.9713 | − | 36.3289i | 1.15060 | − | 1.44281i | ||||
\(635\) | 7.79499 | + | 9.77461i | 0.309335 | + | 0.387894i | ||||
\(636\) | −18.9264 | + | 9.11446i | −0.750479 | + | 0.361412i | ||||
\(637\) | −22.6190 | −0.896196 | ||||||||
\(638\) | 13.7865 | − | 22.7493i | 0.545814 | − | 0.900653i | ||||
\(639\) | −8.09127 | −0.320086 | ||||||||
\(640\) | 1.33072 | − | 0.640842i | 0.0526014 | − | 0.0253315i | ||||
\(641\) | 13.9528 | + | 17.4963i | 0.551104 | + | 0.691063i | 0.976886 | − | 0.213763i | \(-0.0685721\pi\) |
−0.425781 | + | 0.904826i | \(0.640001\pi\) | |||||||
\(642\) | −13.9507 | + | 17.4936i | −0.550590 | + | 0.690418i | ||||
\(643\) | 5.33870 | − | 2.57098i | 0.210538 | − | 0.101390i | −0.325643 | − | 0.945493i | \(-0.605581\pi\) |
0.536181 | + | 0.844103i | \(0.319866\pi\) | |||||||
\(644\) | −2.04573 | − | 0.985171i | −0.0806130 | − | 0.0388212i | ||||
\(645\) | −1.78514 | − | 2.23850i | −0.0702898 | − | 0.0881407i | ||||
\(646\) | −10.1806 | + | 44.6041i | −0.400550 | + | 1.75492i | ||||
\(647\) | −3.42464 | + | 15.0043i | −0.134636 | + | 0.589881i | 0.861926 | + | 0.507034i | \(0.169258\pi\) |
−0.996562 | + | 0.0828464i | \(0.973599\pi\) | |||||||
\(648\) | 0.0944986 | − | 0.118497i | 0.00371226 | − | 0.00465502i | ||||
\(649\) | 5.70740 | + | 25.0057i | 0.224035 | + | 0.981561i | ||||
\(650\) | 22.9993 | 0.902105 | ||||||||
\(651\) | −0.875360 | − | 3.83520i | −0.0343081 | − | 0.150313i | ||||
\(652\) | −33.4080 | − | 16.0884i | −1.30836 | − | 0.630071i | ||||
\(653\) | −30.2207 | − | 14.5535i | −1.18263 | − | 0.569523i | −0.263951 | − | 0.964536i | \(-0.585026\pi\) |
−0.918675 | + | 0.395013i | \(0.870740\pi\) | |||||||
\(654\) | −6.55784 | − | 28.7318i | −0.256432 | − | 1.12350i | ||||
\(655\) | 6.03741 | 0.235901 | ||||||||
\(656\) | −7.21667 | − | 31.6183i | −0.281763 | − | 1.23449i | ||||
\(657\) | 5.45965 | − | 6.84619i | 0.213001 | − | 0.267095i | ||||
\(658\) | −1.48038 | + | 6.48597i | −0.0577112 | + | 0.252849i | ||||
\(659\) | −2.27680 | + | 9.97530i | −0.0886914 | + | 0.388582i | −0.999718 | − | 0.0237662i | \(-0.992434\pi\) |
0.911026 | + | 0.412349i | \(0.135291\pi\) | |||||||
\(660\) | 3.64574 | + | 4.57161i | 0.141910 | + | 0.177950i | ||||
\(661\) | −12.0033 | − | 5.78051i | −0.466876 | − | 0.224836i | 0.185629 | − | 0.982620i | \(-0.440568\pi\) |
−0.652505 | + | 0.757784i | \(0.726282\pi\) | |||||||
\(662\) | −47.1556 | + | 22.7089i | −1.83275 | + | 0.882607i | ||||
\(663\) | 8.85936 | − | 11.1093i | 0.344069 | − | 0.431449i | ||||
\(664\) | −0.354349 | − | 0.444340i | −0.0137514 | − | 0.0172437i | ||||
\(665\) | −2.31976 | + | 1.11714i | −0.0899566 | + | 0.0433208i | ||||
\(666\) | −7.22839 | −0.280094 | ||||||||
\(667\) | −1.55010 | + | 16.0912i | −0.0600199 | + | 0.623054i | ||||
\(668\) | −6.24581 | −0.241658 | ||||||||
\(669\) | −11.0066 | + | 5.30050i | −0.425539 | + | 0.204929i | ||||
\(670\) | −7.74840 | − | 9.71618i | −0.299347 | − | 0.375369i | ||||
\(671\) | −5.78823 | + | 7.25821i | −0.223452 | + | 0.280200i | ||||
\(672\) | 2.80301 | − | 1.34986i | 0.108128 | − | 0.0520719i | ||||
\(673\) | −34.2673 | − | 16.5022i | −1.32091 | − | 0.636115i | −0.365335 | − | 0.930876i | \(-0.619046\pi\) |
−0.955571 | + | 0.294761i | \(0.904760\pi\) | |||||||
\(674\) | 7.93149 | + | 9.94577i | 0.305510 | + | 0.383097i | ||||
\(675\) | −0.781938 | + | 3.42590i | −0.0300968 | + | 0.131863i | ||||
\(676\) | 0.891027 | − | 3.90384i | 0.0342703 | − | 0.150148i | ||||
\(677\) | 5.49590 | − | 6.89164i | 0.211224 | − | 0.264867i | −0.664921 | − | 0.746913i | \(-0.731535\pi\) |
0.876146 | + | 0.482046i | \(0.160106\pi\) | |||||||
\(678\) | 0.00772057 | + | 0.0338260i | 0.000296507 | + | 0.00129908i | ||||
\(679\) | −6.37121 | −0.244505 | ||||||||
\(680\) | 0.176796 | + | 0.774595i | 0.00677983 | + | 0.0297044i | ||||
\(681\) | −13.0371 | − | 6.27836i | −0.499585 | − | 0.240587i | ||||
\(682\) | 44.5210 | + | 21.4402i | 1.70480 | + | 0.820988i | ||||
\(683\) | 2.25860 | + | 9.89559i | 0.0864231 | + | 0.378644i | 0.999580 | − | 0.0289628i | \(-0.00922044\pi\) |
−0.913157 | + | 0.407607i | \(0.866363\pi\) | |||||||
\(684\) | 10.3314 | 0.395030 | ||||||||
\(685\) | 3.68063 | + | 16.1259i | 0.140630 | + | 0.616139i | ||||
\(686\) | 6.72395 | − | 8.43157i | 0.256722 | − | 0.321919i | ||||
\(687\) | 2.31852 | − | 10.1581i | 0.0884572 | − | 0.387556i | ||||
\(688\) | 2.16749 | − | 9.49640i | 0.0826348 | − | 0.362047i | ||||
\(689\) | −22.4996 | − | 28.2136i | −0.857166 | − | 1.07485i | ||||
\(690\) | −6.53056 | − | 3.14495i | −0.248614 | − | 0.119726i | ||||
\(691\) | 0.129926 | − | 0.0625692i | 0.00494263 | − | 0.00238024i | −0.431411 | − | 0.902156i | \(-0.641984\pi\) |
0.436353 | + | 0.899775i | \(0.356270\pi\) | |||||||
\(692\) | −9.62962 | + | 12.0752i | −0.366063 | + | 0.459029i | ||||
\(693\) | −0.611425 | − | 0.766702i | −0.0232261 | − | 0.0291246i | ||||
\(694\) | −9.46614 | + | 4.55865i | −0.359330 | + | 0.173044i | ||||
\(695\) | 20.0801 | 0.761681 | ||||||||
\(696\) | −0.586392 | − | 0.567734i | −0.0222271 | − | 0.0215199i | ||||
\(697\) | 33.6287 | 1.27378 | ||||||||
\(698\) | 23.9088 | − | 11.5139i | 0.904963 | − | 0.435807i | ||||
\(699\) | 11.5716 | + | 14.5104i | 0.437679 | + | 0.548832i | ||||
\(700\) | −1.65720 | + | 2.07806i | −0.0626362 | + | 0.0785433i | ||||
\(701\) | −43.4549 | + | 20.9268i | −1.64127 | + | 0.790393i | −0.641539 | + | 0.767090i | \(0.721704\pi\) |
−0.999728 | + | 0.0233027i | \(0.992582\pi\) | |||||||
\(702\) | −5.89687 | − | 2.83979i | −0.222563 | − | 0.107181i | ||||
\(703\) | 12.2209 | + | 15.3246i | 0.460921 | + | 0.577977i | ||||
\(704\) | −4.09341 | + | 17.9344i | −0.154276 | + | 0.675929i | ||||
\(705\) | −2.31682 | + | 10.1506i | −0.0872564 | + | 0.382295i | ||||
\(706\) | 19.8723 | − | 24.9191i | 0.747904 | − | 0.937842i | ||||
\(707\) | 0.241881 | + | 1.05975i | 0.00909686 | + | 0.0398559i | ||||
\(708\) | −19.7832 | −0.743499 | ||||||||
\(709\) | −2.34972 | − | 10.2948i | −0.0882454 | − | 0.386629i | 0.911447 | − | 0.411417i | \(-0.134966\pi\) |
−0.999693 | + | 0.0247883i | \(0.992109\pi\) | |||||||
\(710\) | −17.6024 | − | 8.47686i | −0.660606 | − | 0.318131i | ||||
\(711\) | −6.57640 | − | 3.16703i | −0.246634 | − | 0.118773i | ||||
\(712\) | −0.351158 | − | 1.53852i | −0.0131602 | − | 0.0576586i | ||||
\(713\) | −30.0301 | −1.12463 | ||||||||
\(714\) | 0.745347 | + | 3.26558i | 0.0278939 | + | 0.122211i | ||||
\(715\) | −6.26288 | + | 7.85340i | −0.234218 | + | 0.293700i | ||||
\(716\) | 4.52207 | − | 19.8125i | 0.168998 | − | 0.740427i | ||||
\(717\) | −5.30368 | + | 23.2370i | −0.198070 | + | 0.867800i | ||||
\(718\) | 14.9271 | + | 18.7179i | 0.557073 | + | 0.698547i | ||||
\(719\) | 22.7910 | + | 10.9756i | 0.849961 | + | 0.409320i | 0.807563 | − | 0.589781i | \(-0.200786\pi\) |
0.0423980 | + | 0.999101i | \(0.486500\pi\) | |||||||
\(720\) | 4.55483 | − | 2.19349i | 0.169748 | − | 0.0817466i | ||||
\(721\) | 0.928278 | − | 1.16402i | 0.0345709 | − | 0.0433505i | ||||
\(722\) | −12.1641 | − | 15.2533i | −0.452702 | − | 0.567671i | ||||
\(723\) | 16.4482 | − | 7.92104i | 0.611715 | − | 0.294587i | ||||
\(724\) | −23.5511 | −0.875269 | ||||||||
\(725\) | 17.9602 | + | 5.96050i | 0.667026 | + | 0.221368i | ||||
\(726\) | −9.47019 | −0.351472 | ||||||||
\(727\) | 44.2191 | − | 21.2948i | 1.64000 | − | 0.789780i | 0.640228 | − | 0.768185i | \(-0.278840\pi\) |
0.999767 | − | 0.0215952i | \(-0.00687451\pi\) | |||||||
\(728\) | 0.122788 | + | 0.153971i | 0.00455083 | + | 0.00570656i | ||||
\(729\) | 0.623490 | − | 0.781831i | 0.0230922 | − | 0.0289567i | ||||
\(730\) | 19.0498 | − | 9.17391i | 0.705065 | − | 0.339542i | ||||
\(731\) | 9.09997 | + | 4.38232i | 0.336575 | + | 0.162086i | ||||
\(732\) | −4.46452 | − | 5.59834i | −0.165014 | − | 0.206920i | ||||
\(733\) | 0.756862 | − | 3.31603i | 0.0279553 | − | 0.122480i | −0.959025 | − | 0.283322i | \(-0.908564\pi\) |
0.986980 | + | 0.160841i | \(0.0514207\pi\) | |||||||
\(734\) | −3.22701 | + | 14.1385i | −0.119111 | + | 0.521860i | ||||
\(735\) | 5.20278 | − | 6.52408i | 0.191907 | − | 0.240644i | ||||
\(736\) | −5.28477 | − | 23.1541i | −0.194799 | − | 0.853471i | ||||
\(737\) | −12.8350 | −0.472783 | ||||||||
\(738\) | −3.44683 | − | 15.1015i | −0.126879 | − | 0.555895i | ||||
\(739\) | −6.51194 | − | 3.13599i | −0.239546 | − | 0.115359i | 0.310260 | − | 0.950652i | \(-0.399584\pi\) |
−0.549806 | + | 0.835293i | \(0.685298\pi\) | |||||||
\(740\) | −7.70927 | − | 3.71259i | −0.283398 | − | 0.136477i | ||||
\(741\) | 3.94927 | + | 17.3029i | 0.145080 | + | 0.635637i | ||||
\(742\) | 8.50668 | 0.312290 | ||||||||
\(743\) | −4.95044 | − | 21.6893i | −0.181614 | − | 0.795703i | −0.980862 | − | 0.194702i | \(-0.937626\pi\) |
0.799248 | − | 0.601001i | \(-0.205231\pi\) | |||||||
\(744\) | 0.945336 | − | 1.18541i | 0.0346577 | − | 0.0434594i | ||||
\(745\) | −2.16650 | + | 9.49205i | −0.0793743 | + | 0.347762i | ||||
\(746\) | −3.64758 | + | 15.9811i | −0.133548 | + | 0.585110i | ||||
\(747\) | −2.33795 | − | 2.93170i | −0.0855412 | − | 0.107265i | ||||
\(748\) | −18.5846 | − | 8.94988i | −0.679521 | − | 0.327240i | ||||
\(749\) | 4.00217 | − | 1.92734i | 0.146236 | − | 0.0704236i | ||||
\(750\) | −12.8176 | + | 16.0728i | −0.468034 | + | 0.586896i | ||||
\(751\) | 16.0400 | + | 20.1135i | 0.585308 | + | 0.733953i | 0.983008 | − | 0.183563i | \(-0.0587630\pi\) |
−0.397700 | + | 0.917515i | \(0.630192\pi\) | |||||||
\(752\) | −31.9135 | + | 15.3687i | −1.16377 | + | 0.560440i | ||||
\(753\) | 17.1613 | 0.625393 | ||||||||
\(754\) | −18.2672 | + | 30.1429i | −0.665253 | + | 1.09774i | ||||
\(755\) | −24.7502 | −0.900750 | ||||||||
\(756\) | 0.681480 | − | 0.328183i | 0.0247852 | − | 0.0119359i | ||||
\(757\) | −16.5778 | − | 20.7879i | −0.602529 | − | 0.755548i | 0.383240 | − | 0.923649i | \(-0.374808\pi\) |
−0.985770 | + | 0.168101i | \(0.946237\pi\) | |||||||
\(758\) | 4.76473 | − | 5.97478i | 0.173063 | − | 0.217014i | ||||
\(759\) | −6.74472 | + | 3.24808i | −0.244818 | + | 0.117898i | ||||
\(760\) | −0.894097 | − | 0.430575i | −0.0324323 | − | 0.0156186i | ||||
\(761\) | −5.12010 | − | 6.42041i | −0.185604 | − | 0.232740i | 0.680321 | − | 0.732914i | \(-0.261840\pi\) |
−0.865924 | + | 0.500175i | \(0.833269\pi\) | |||||||
\(762\) | −4.52047 | + | 19.8055i | −0.163759 | + | 0.717476i | ||||
\(763\) | −1.30191 | + | 5.70403i | −0.0471322 | + | 0.206500i | ||||
\(764\) | 8.14561 | − | 10.2143i | 0.294698 | − | 0.369539i | ||||
\(765\) | 1.16648 | + |