Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(5,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([35, 29]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.bn (of order \(42\), degree \(12\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 101.45 | ||
Character | \(\chi\) | \(=\) | 441.101 |
Dual form | 441.2.bn.a.131.45 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{1}{42}\right)\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.54352 | − | 1.23092i | 1.09143 | − | 0.870390i | 0.0992370 | − | 0.995064i | \(-0.468360\pi\) |
0.992198 | + | 0.124674i | \(0.0397884\pi\) | |||||||
\(3\) | 1.45809 | − | 0.934863i | 0.841829 | − | 0.539744i | ||||
\(4\) | 0.422260 | − | 1.85004i | 0.211130 | − | 0.925021i | ||||
\(5\) | 0.158635 | − | 2.11684i | 0.0709438 | − | 0.946679i | −0.842233 | − | 0.539114i | \(-0.818759\pi\) |
0.913176 | − | 0.407565i | \(-0.133622\pi\) | |||||||
\(6\) | 1.09986 | − | 3.23777i | 0.449015 | − | 1.32182i | ||||
\(7\) | −1.92384 | + | 1.81628i | −0.727141 | + | 0.686488i | ||||
\(8\) | 0.0876991 | + | 0.182109i | 0.0310063 | + | 0.0643853i | ||||
\(9\) | 1.25206 | − | 2.72623i | 0.417354 | − | 0.908744i | ||||
\(10\) | −2.36080 | − | 3.46265i | −0.746550 | − | 1.09499i | ||||
\(11\) | −1.38819 | − | 0.544826i | −0.418556 | − | 0.164271i | 0.146710 | − | 0.989180i | \(-0.453132\pi\) |
−0.565267 | + | 0.824908i | \(0.691227\pi\) | |||||||
\(12\) | −1.11384 | − | 3.09228i | −0.321538 | − | 0.892666i | ||||
\(13\) | 3.55990 | + | 1.39716i | 0.987337 | + | 0.387501i | 0.803402 | − | 0.595437i | \(-0.203021\pi\) |
0.183935 | + | 0.982938i | \(0.441116\pi\) | |||||||
\(14\) | −0.733796 | + | 5.17154i | −0.196115 | + | 1.38215i | ||||
\(15\) | −1.74765 | − | 3.23485i | −0.451241 | − | 0.835234i | ||||
\(16\) | 3.77892 | + | 1.81983i | 0.944729 | + | 0.454958i | ||||
\(17\) | −6.30801 | − | 1.94576i | −1.52992 | − | 0.471917i | −0.588312 | − | 0.808634i | \(-0.700207\pi\) |
−0.941606 | + | 0.336717i | \(0.890684\pi\) | |||||||
\(18\) | −1.42318 | − | 5.74918i | −0.335447 | − | 1.35510i | ||||
\(19\) | 4.25341 | − | 2.45571i | 0.975799 | − | 0.563378i | 0.0747997 | − | 0.997199i | \(-0.476168\pi\) |
0.900999 | + | 0.433821i | \(0.142835\pi\) | |||||||
\(20\) | −3.84925 | − | 1.18734i | −0.860719 | − | 0.265497i | ||||
\(21\) | −1.10716 | + | 4.44682i | −0.241602 | + | 0.970376i | ||||
\(22\) | −2.81335 | + | 0.867802i | −0.599807 | + | 0.185016i | ||||
\(23\) | −5.05282 | + | 5.44564i | −1.05359 | + | 1.13550i | −0.0630821 | + | 0.998008i | \(0.520093\pi\) |
−0.990504 | + | 0.137487i | \(0.956097\pi\) | |||||||
\(24\) | 0.298120 | + | 0.183545i | 0.0608535 | + | 0.0374660i | ||||
\(25\) | 0.488312 | + | 0.0736012i | 0.0976624 | + | 0.0147202i | ||||
\(26\) | 7.21456 | − | 2.22540i | 1.41489 | − | 0.436436i | ||||
\(27\) | −0.723034 | − | 5.14560i | −0.139148 | − | 0.990272i | ||||
\(28\) | 2.54783 | + | 4.32611i | 0.481494 | + | 0.817559i | ||||
\(29\) | −0.894419 | + | 2.89963i | −0.166089 | + | 0.538449i | −0.999908 | − | 0.0135905i | \(-0.995674\pi\) |
0.833818 | + | 0.552039i | \(0.186150\pi\) | |||||||
\(30\) | −6.67937 | − | 2.84184i | −1.21948 | − | 0.518847i | ||||
\(31\) | 9.07582i | 1.63006i | 0.579416 | + | 0.815032i | \(0.303281\pi\) | ||||
−0.579416 | + | 0.815032i | \(0.696719\pi\) | |||||||
\(32\) | 7.67879 | − | 1.75263i | 1.35743 | − | 0.309825i | ||||
\(33\) | −2.53345 | + | 0.503366i | −0.441018 | + | 0.0876247i | ||||
\(34\) | −12.1316 | + | 4.76132i | −2.08056 | + | 0.816559i | ||||
\(35\) | 3.53958 | + | 4.36057i | 0.598298 | + | 0.737072i | ||||
\(36\) | −4.51495 | − | 3.46754i | −0.752491 | − | 0.577924i | ||||
\(37\) | 1.72032 | − | 1.59623i | 0.282819 | − | 0.262418i | −0.525988 | − | 0.850492i | \(-0.676304\pi\) |
0.808807 | + | 0.588074i | \(0.200114\pi\) | |||||||
\(38\) | 3.54246 | − | 9.02603i | 0.574662 | − | 1.46422i | ||||
\(39\) | 6.49680 | − | 1.29083i | 1.04032 | − | 0.206699i | ||||
\(40\) | 0.399408 | − | 0.156756i | 0.0631519 | − | 0.0247853i | ||||
\(41\) | 5.62403 | + | 3.83440i | 0.878325 | + | 0.598832i | 0.916320 | − | 0.400446i | \(-0.131145\pi\) |
−0.0379951 | + | 0.999278i | \(0.512097\pi\) | |||||||
\(42\) | 3.76475 | + | 8.22658i | 0.580913 | + | 1.26939i | ||||
\(43\) | −3.93716 | + | 2.68431i | −0.600411 | + | 0.409354i | −0.825027 | − | 0.565094i | \(-0.808840\pi\) |
0.224615 | + | 0.974448i | \(0.427888\pi\) | |||||||
\(44\) | −1.59413 | + | 2.33816i | −0.240324 | + | 0.352491i | ||||
\(45\) | −5.57237 | − | 3.08289i | −0.830680 | − | 0.459570i | ||||
\(46\) | −1.09600 | + | 14.6251i | −0.161596 | + | 2.15635i | ||||
\(47\) | −6.40352 | − | 8.02976i | −0.934050 | − | 1.17126i | −0.984999 | − | 0.172560i | \(-0.944796\pi\) |
0.0509492 | − | 0.998701i | \(-0.483775\pi\) | |||||||
\(48\) | 7.21130 | − | 0.879291i | 1.04086 | − | 0.126915i | ||||
\(49\) | 0.402283 | − | 6.98843i | 0.0574690 | − | 0.998347i | ||||
\(50\) | 0.844318 | − | 0.487467i | 0.119405 | − | 0.0689382i | ||||
\(51\) | −11.0167 | + | 3.06003i | −1.54264 | + | 0.428490i | ||||
\(52\) | 4.08800 | − | 5.99599i | 0.566903 | − | 0.831494i | ||||
\(53\) | −0.805100 | + | 0.867691i | −0.110589 | + | 0.119187i | −0.785920 | − | 0.618328i | \(-0.787810\pi\) |
0.675331 | + | 0.737515i | \(0.264001\pi\) | |||||||
\(54\) | −7.44983 | − | 7.05235i | −1.01379 | − | 0.959704i | ||||
\(55\) | −1.37353 | + | 2.85216i | −0.185206 | + | 0.384585i | ||||
\(56\) | −0.499479 | − | 0.191062i | −0.0667457 | − | 0.0255317i | ||||
\(57\) | 3.90611 | − | 7.55700i | 0.517377 | − | 1.00095i | ||||
\(58\) | 2.18866 | + | 5.57661i | 0.287385 | + | 0.732244i | ||||
\(59\) | 10.4630 | + | 5.03874i | 1.36217 | + | 0.655988i | 0.965120 | − | 0.261808i | \(-0.0843186\pi\) |
0.397053 | + | 0.917796i | \(0.370033\pi\) | |||||||
\(60\) | −6.72256 | + | 1.86728i | −0.867879 | + | 0.241065i | ||||
\(61\) | 13.5152 | − | 3.08476i | 1.73044 | − | 0.394963i | 0.762671 | − | 0.646786i | \(-0.223887\pi\) |
0.967773 | + | 0.251824i | \(0.0810303\pi\) | |||||||
\(62\) | 11.1716 | + | 14.0087i | 1.41879 | + | 1.77911i | ||||
\(63\) | 2.54283 | + | 7.51891i | 0.320367 | + | 0.947294i | ||||
\(64\) | 4.46485 | − | 5.59874i | 0.558106 | − | 0.699842i | ||||
\(65\) | 3.52228 | − | 7.31409i | 0.436885 | − | 0.907201i | ||||
\(66\) | −3.29084 | + | 3.89543i | −0.405074 | + | 0.479494i | ||||
\(67\) | −6.78473 | −0.828887 | −0.414444 | − | 0.910075i | \(-0.636024\pi\) | ||||
−0.414444 | + | 0.910075i | \(0.636024\pi\) | |||||||
\(68\) | −6.26336 | + | 10.8485i | −0.759545 | + | 1.31557i | ||||
\(69\) | −2.27654 | + | 12.6639i | −0.274063 | + | 1.52456i | ||||
\(70\) | 10.8309 | + | 2.37372i | 1.29454 | + | 0.283713i | ||||
\(71\) | −10.3163 | − | 2.35462i | −1.22432 | − | 0.279442i | −0.438971 | − | 0.898501i | \(-0.644657\pi\) |
−0.785344 | + | 0.619059i | \(0.787514\pi\) | |||||||
\(72\) | 0.606276 | − | 0.0110764i | 0.0714503 | − | 0.00130536i | ||||
\(73\) | −3.47567 | + | 1.36410i | −0.406796 | + | 0.159656i | −0.559911 | − | 0.828553i | \(-0.689165\pi\) |
0.153115 | + | 0.988208i | \(0.451069\pi\) | |||||||
\(74\) | 0.690533 | − | 4.58138i | 0.0802728 | − | 0.532575i | ||||
\(75\) | 0.780811 | − | 0.349188i | 0.0901603 | − | 0.0403207i | ||||
\(76\) | −2.74711 | − | 8.90593i | −0.315116 | − | 1.02158i | ||||
\(77\) | 3.66021 | − | 1.47319i | 0.417120 | − | 0.167885i | ||||
\(78\) | 8.43905 | − | 9.98946i | 0.955534 | − | 1.13108i | ||||
\(79\) | −7.07945 | −0.796500 | −0.398250 | − | 0.917277i | \(-0.630382\pi\) | ||||
−0.398250 | + | 0.917277i | \(0.630382\pi\) | |||||||
\(80\) | 4.45176 | − | 7.71067i | 0.497722 | − | 0.862079i | ||||
\(81\) | −5.86468 | − | 6.82682i | −0.651632 | − | 0.758536i | ||||
\(82\) | 13.4006 | − | 1.00424i | 1.47985 | − | 0.110900i | ||||
\(83\) | −4.48679 | − | 11.4322i | −0.492489 | − | 1.25484i | −0.933899 | − | 0.357537i | \(-0.883617\pi\) |
0.441410 | − | 0.897306i | \(-0.354478\pi\) | |||||||
\(84\) | 7.75929 | + | 3.92600i | 0.846608 | + | 0.428362i | ||||
\(85\) | −5.11954 | + | 13.0444i | −0.555292 | + | 1.41486i | ||||
\(86\) | −2.77293 | + | 8.98961i | −0.299013 | + | 0.969375i | ||||
\(87\) | 1.40662 | + | 5.06409i | 0.150805 | + | 0.542928i | ||||
\(88\) | −0.0225256 | − | 0.300583i | −0.00240124 | − | 0.0320423i | ||||
\(89\) | −6.51950 | − | 0.982657i | −0.691066 | − | 0.104161i | −0.205886 | − | 0.978576i | \(-0.566008\pi\) |
−0.485180 | + | 0.874414i | \(0.661246\pi\) | |||||||
\(90\) | −12.3959 | + | 2.10063i | −1.30664 | + | 0.221426i | ||||
\(91\) | −9.38627 | + | 3.77786i | −0.983949 | + | 0.396027i | ||||
\(92\) | 7.94106 | + | 11.6474i | 0.827913 | + | 1.21433i | ||||
\(93\) | 8.48465 | + | 13.2334i | 0.879817 | + | 1.37224i | ||||
\(94\) | −19.7680 | − | 4.51191i | −2.03891 | − | 0.465368i | ||||
\(95\) | −4.52360 | − | 9.39334i | −0.464111 | − | 0.963737i | ||||
\(96\) | 9.55790 | − | 9.73411i | 0.975499 | − | 0.993484i | ||||
\(97\) | −6.36809 | − | 3.67662i | −0.646582 | − | 0.373304i | 0.140564 | − | 0.990072i | \(-0.455109\pi\) |
−0.787145 | + | 0.616768i | \(0.788442\pi\) | |||||||
\(98\) | −7.98125 | − | 11.2820i | −0.806228 | − | 1.13965i | ||||
\(99\) | −3.22343 | + | 3.10238i | −0.323967 | + | 0.311801i | ||||
\(100\) | 0.342360 | − | 0.872319i | 0.0342360 | − | 0.0872319i | ||||
\(101\) | 2.36121 | + | 1.60985i | 0.234949 | + | 0.160186i | 0.675072 | − | 0.737752i | \(-0.264113\pi\) |
−0.440123 | + | 0.897938i | \(0.645065\pi\) | |||||||
\(102\) | −13.2379 | + | 18.2839i | −1.31074 | + | 1.81037i | ||||
\(103\) | 10.8133 | + | 0.810346i | 1.06547 | + | 0.0798457i | 0.595906 | − | 0.803054i | \(-0.296793\pi\) |
0.469561 | + | 0.882900i | \(0.344412\pi\) | |||||||
\(104\) | 0.0577649 | + | 0.770818i | 0.00566431 | + | 0.0755850i | ||||
\(105\) | 9.23757 | + | 3.04910i | 0.901494 | + | 0.297561i | ||||
\(106\) | −0.174633 | + | 2.33031i | −0.0169618 | + | 0.226340i | ||||
\(107\) | −0.427802 | + | 2.83828i | −0.0413571 | + | 0.274387i | −0.999946 | − | 0.0104075i | \(-0.996687\pi\) |
0.958589 | + | 0.284794i | \(0.0919252\pi\) | |||||||
\(108\) | −9.82488 | − | 0.835138i | −0.945400 | − | 0.0803612i | ||||
\(109\) | 0.513679 | − | 0.0774247i | 0.0492015 | − | 0.00741594i | −0.124395 | − | 0.992233i | \(-0.539699\pi\) |
0.173597 | + | 0.984817i | \(0.444461\pi\) | |||||||
\(110\) | 1.39070 | + | 6.09306i | 0.132598 | + | 0.580951i | ||||
\(111\) | 1.01613 | − | 3.93571i | 0.0964472 | − | 0.373561i | ||||
\(112\) | −10.5753 | + | 3.36250i | −0.999274 | + | 0.317727i | ||||
\(113\) | −0.223709 | + | 1.48421i | −0.0210447 | + | 0.139623i | −0.996886 | − | 0.0788590i | \(-0.974872\pi\) |
0.975841 | + | 0.218482i | \(0.0701104\pi\) | |||||||
\(114\) | −3.27288 | − | 16.4725i | −0.306533 | − | 1.54279i | ||||
\(115\) | 10.7260 | + | 11.5599i | 1.00020 | + | 1.07796i | ||||
\(116\) | 4.98677 | + | 2.87911i | 0.463010 | + | 0.267319i | ||||
\(117\) | 8.26618 | − | 7.95578i | 0.764209 | − | 0.735512i | ||||
\(118\) | 22.3522 | − | 5.10175i | 2.05769 | − | 0.469654i | ||||
\(119\) | 15.6696 | − | 7.71376i | 1.43643 | − | 0.707120i | ||||
\(120\) | 0.435827 | − | 0.601956i | 0.0397854 | − | 0.0549508i | ||||
\(121\) | −6.43332 | − | 5.96925i | −0.584847 | − | 0.542659i | ||||
\(122\) | 17.0639 | − | 21.3975i | 1.54490 | − | 1.93724i | ||||
\(123\) | 11.7850 | + | 0.333205i | 1.06262 | + | 0.0300441i | ||||
\(124\) | 16.7906 | + | 3.83235i | 1.50784 | + | 0.344155i | ||||
\(125\) | 2.59507 | − | 11.3698i | 0.232111 | − | 1.01694i | ||||
\(126\) | 13.1801 | + | 8.47559i | 1.17417 | + | 0.755065i | ||||
\(127\) | 1.25946 | + | 5.51806i | 0.111759 | + | 0.489649i | 0.999567 | + | 0.0294341i | \(0.00937051\pi\) |
−0.887808 | + | 0.460215i | \(0.847772\pi\) | |||||||
\(128\) | 1.61489i | 0.142737i | ||||||||
\(129\) | −3.23128 | + | 7.59468i | −0.284498 | + | 0.668674i | ||||
\(130\) | −3.56633 | − | 15.6251i | −0.312787 | − | 1.37041i | ||||
\(131\) | 12.4754 | − | 8.50557i | 1.08998 | − | 0.743135i | 0.121590 | − | 0.992580i | \(-0.461201\pi\) |
0.968389 | + | 0.249446i | \(0.0802484\pi\) | |||||||
\(132\) | −0.138528 | + | 4.89954i | −0.0120573 | + | 0.426450i | ||||
\(133\) | −3.72262 | + | 12.4497i | −0.322792 | + | 1.07953i | ||||
\(134\) | −10.4724 | + | 8.35145i | −0.904676 | + | 0.721455i | ||||
\(135\) | −11.0071 | + | 0.714274i | −0.947341 | + | 0.0614749i | ||||
\(136\) | −0.198866 | − | 1.31939i | −0.0170526 | − | 0.113137i | ||||
\(137\) | −8.03925 | + | 0.602459i | −0.686840 | + | 0.0514715i | −0.413579 | − | 0.910468i | \(-0.635721\pi\) |
−0.273261 | + | 0.961940i | \(0.588102\pi\) | |||||||
\(138\) | 12.0744 | + | 22.3493i | 1.02784 | + | 1.90250i | ||||
\(139\) | −7.20191 | + | 10.5633i | −0.610858 | + | 0.895964i | −0.999679 | − | 0.0253495i | \(-0.991930\pi\) |
0.388821 | + | 0.921313i | \(0.372883\pi\) | |||||||
\(140\) | 9.56186 | − | 4.70707i | 0.808125 | − | 0.397820i | ||||
\(141\) | −16.8437 | − | 5.72171i | −1.41849 | − | 0.481855i | ||||
\(142\) | −18.8217 | + | 9.06407i | −1.57948 | + | 0.760640i | ||||
\(143\) | −4.18062 | − | 3.87905i | −0.349601 | − | 0.324382i | ||||
\(144\) | 9.69272 | − | 8.02367i | 0.807726 | − | 0.668639i | ||||
\(145\) | 5.99617 | + | 2.35332i | 0.497955 | + | 0.195433i | ||||
\(146\) | −3.68567 | + | 6.38377i | −0.305029 | + | 0.528325i | ||||
\(147\) | −5.94666 | − | 10.5659i | −0.490472 | − | 0.871457i | ||||
\(148\) | −2.22666 | − | 3.85669i | −0.183030 | − | 0.317018i | ||||
\(149\) | 2.02957 | + | 13.4653i | 0.166269 | + | 1.10312i | 0.903846 | + | 0.427858i | \(0.140732\pi\) |
−0.737577 | + | 0.675263i | \(0.764030\pi\) | |||||||
\(150\) | 0.775377 | − | 1.50009i | 0.0633093 | − | 0.122482i | ||||
\(151\) | −9.81897 | + | 3.02875i | −0.799057 | + | 0.246476i | −0.667284 | − | 0.744804i | \(-0.732543\pi\) |
−0.131773 | + | 0.991280i | \(0.542067\pi\) | |||||||
\(152\) | 0.820226 | + | 0.559221i | 0.0665291 | + | 0.0453588i | ||||
\(153\) | −13.2026 | + | 14.7609i | −1.06737 | + | 1.19335i | ||||
\(154\) | 3.83624 | − | 6.77932i | 0.309133 | − | 0.546293i | ||||
\(155\) | 19.2120 | + | 1.43974i | 1.54315 | + | 0.115643i | ||||
\(156\) | 0.355243 | − | 12.5644i | 0.0284422 | − | 1.00596i | ||||
\(157\) | 3.81641 | − | 7.92485i | 0.304582 | − | 0.632472i | −0.691356 | − | 0.722515i | \(-0.742986\pi\) |
0.995938 | + | 0.0900430i | \(0.0287005\pi\) | |||||||
\(158\) | −10.9273 | + | 8.71422i | −0.869328 | + | 0.693266i | ||||
\(159\) | −0.362736 | + | 2.01783i | −0.0287669 | + | 0.160024i | ||||
\(160\) | −2.49192 | − | 16.5328i | −0.197003 | − | 1.30703i | ||||
\(161\) | −0.170001 | − | 19.6538i | −0.0133980 | − | 1.54894i | ||||
\(162\) | −17.4555 | − | 3.31840i | −1.37144 | − | 0.260718i | ||||
\(163\) | −0.102862 | − | 1.37259i | −0.00805674 | − | 0.107510i | 0.991726 | − | 0.128376i | \(-0.0409765\pi\) |
−0.999782 | + | 0.0208666i | \(0.993357\pi\) | |||||||
\(164\) | 9.46859 | − | 8.78557i | 0.739373 | − | 0.686038i | ||||
\(165\) | 0.663649 | + | 5.44276i | 0.0516650 | + | 0.423719i | ||||
\(166\) | −20.9975 | − | 12.1229i | −1.62972 | − | 0.940921i | ||||
\(167\) | −6.25791 | + | 5.80649i | −0.484252 | + | 0.449320i | −0.884125 | − | 0.467251i | \(-0.845245\pi\) |
0.399873 | + | 0.916570i | \(0.369054\pi\) | |||||||
\(168\) | −0.906903 | + | 0.188359i | −0.0699690 | + | 0.0145322i | ||||
\(169\) | 1.19114 | + | 1.10522i | 0.0916260 | + | 0.0850165i | ||||
\(170\) | 8.15443 | + | 26.4360i | 0.625417 | + | 2.02755i | ||||
\(171\) | −1.36930 | − | 14.6705i | −0.104713 | − | 1.12188i | ||||
\(172\) | 3.30358 | + | 8.41739i | 0.251896 | + | 0.641820i | ||||
\(173\) | −0.904816 | + | 3.96426i | −0.0687919 | + | 0.301397i | −0.997606 | − | 0.0691480i | \(-0.977972\pi\) |
0.928814 | + | 0.370545i | \(0.120829\pi\) | |||||||
\(174\) | 8.40462 | + | 6.08511i | 0.637153 | + | 0.461311i | ||||
\(175\) | −1.07311 | + | 0.745313i | −0.0811197 | + | 0.0563404i | ||||
\(176\) | −4.25438 | − | 4.58513i | −0.320686 | − | 0.345617i | ||||
\(177\) | 19.9666 | − | 2.43458i | 1.50078 | − | 0.182994i | ||||
\(178\) | −11.2726 | + | 6.50822i | −0.844915 | + | 0.487812i | ||||
\(179\) | 0.0278243 | − | 0.0902041i | 0.00207968 | − | 0.00674217i | −0.954527 | − | 0.298124i | \(-0.903639\pi\) |
0.956607 | + | 0.291382i | \(0.0941152\pi\) | |||||||
\(180\) | −8.05646 | + | 9.00734i | −0.600493 | + | 0.671368i | ||||
\(181\) | −15.3644 | − | 12.2527i | −1.14203 | − | 0.910738i | −0.145129 | − | 0.989413i | \(-0.546360\pi\) |
−0.996900 | + | 0.0786743i | \(0.974931\pi\) | |||||||
\(182\) | −9.83769 | + | 17.3849i | −0.729218 | + | 1.28866i | ||||
\(183\) | 16.8226 | − | 17.1327i | 1.24356 | − | 1.26649i | ||||
\(184\) | −1.43483 | − | 0.442586i | −0.105777 | − | 0.0326279i | ||||
\(185\) | −3.10605 | − | 3.89486i | −0.228361 | − | 0.286356i | ||||
\(186\) | 29.3854 | + | 9.98209i | 2.15464 | + | 0.731923i | ||||
\(187\) | 7.69665 | + | 6.13787i | 0.562835 | + | 0.448846i | ||||
\(188\) | −17.5593 | + | 8.45613i | −1.28065 | + | 0.616727i | ||||
\(189\) | 10.7368 | + | 8.58606i | 0.780990 | + | 0.624544i | ||||
\(190\) | −18.5447 | − | 8.93066i | −1.34537 | − | 0.647898i | ||||
\(191\) | 4.47472 | + | 9.29185i | 0.323779 | + | 0.672335i | 0.997794 | − | 0.0663830i | \(-0.0211459\pi\) |
−0.674015 | + | 0.738718i | \(0.735432\pi\) | |||||||
\(192\) | 1.27610 | − | 12.3375i | 0.0920944 | − | 0.890382i | ||||
\(193\) | 2.14581 | − | 1.03337i | 0.154459 | − | 0.0743834i | −0.355057 | − | 0.934844i | \(-0.615539\pi\) |
0.509516 | + | 0.860461i | \(0.329824\pi\) | |||||||
\(194\) | −14.3549 | + | 2.16365i | −1.03062 | + | 0.155341i | ||||
\(195\) | −1.70187 | − | 13.9575i | −0.121873 | − | 0.999514i | ||||
\(196\) | −12.7590 | − | 3.69517i | −0.911358 | − | 0.263941i | ||||
\(197\) | − | 12.3703i | − | 0.881351i | −0.897667 | − | 0.440675i | \(-0.854739\pi\) | ||
0.897667 | − | 0.440675i | \(-0.145261\pi\) | |||||||
\(198\) | −1.15665 | + | 8.75637i | −0.0821996 | + | 0.622288i | ||||
\(199\) | −22.4565 | − | 1.68288i | −1.59190 | − | 0.119296i | −0.750931 | − | 0.660381i | \(-0.770395\pi\) |
−0.840968 | + | 0.541084i | \(0.818014\pi\) | |||||||
\(200\) | 0.0294211 | + | 0.0953808i | 0.00208038 | + | 0.00674444i | ||||
\(201\) | −9.89276 | + | 6.34280i | −0.697782 | + | 0.447386i | ||||
\(202\) | 5.62617 | − | 0.421623i | 0.395856 | − | 0.0296653i | ||||
\(203\) | −3.54582 | − | 7.20293i | −0.248868 | − | 0.505547i | ||||
\(204\) | 1.00927 | + | 21.6734i | 0.0706633 | + | 1.51744i | ||||
\(205\) | 9.00897 | − | 11.2969i | 0.629214 | − | 0.789009i | ||||
\(206\) | 17.6881 | − | 12.0595i | 1.23238 | − | 0.840226i | ||||
\(207\) | 8.51965 | + | 20.5934i | 0.592157 | + | 1.43134i | ||||
\(208\) | 10.9100 | + | 11.7581i | 0.756470 | + | 0.815281i | ||||
\(209\) | −7.24249 | + | 1.09163i | −0.500974 | + | 0.0755096i | ||||
\(210\) | 18.0116 | − | 6.66434i | 1.24292 | − | 0.459883i | ||||
\(211\) | 8.94621 | + | 1.34842i | 0.615882 | + | 0.0928293i | 0.449572 | − | 0.893244i | \(-0.351577\pi\) |
0.166310 | + | 0.986073i | \(0.446815\pi\) | |||||||
\(212\) | 1.26530 | + | 1.85586i | 0.0869014 | + | 0.127461i | ||||
\(213\) | −17.2433 | + | 6.21105i | −1.18149 | + | 0.425574i | ||||
\(214\) | 2.83336 | + | 4.90753i | 0.193685 | + | 0.335472i | ||||
\(215\) | 5.05768 | + | 8.76016i | 0.344931 | + | 0.597438i | ||||
\(216\) | 0.873651 | − | 0.582936i | 0.0594444 | − | 0.0396637i | ||||
\(217\) | −16.4842 | − | 17.4604i | −1.11902 | − | 1.18529i | ||||
\(218\) | 0.697572 | − | 0.751804i | 0.0472455 | − | 0.0509186i | ||||
\(219\) | −3.79259 | + | 5.23825i | −0.256280 | + | 0.353968i | ||||
\(220\) | 4.69662 | + | 3.74543i | 0.316646 | + | 0.252517i | ||||
\(221\) | −19.7373 | − | 15.7400i | −1.32768 | − | 1.05879i | ||||
\(222\) | −3.27611 | − | 7.32563i | −0.219878 | − | 0.491664i | ||||
\(223\) | 9.08182 | − | 9.78788i | 0.608164 | − | 0.655445i | −0.351634 | − | 0.936138i | \(-0.614374\pi\) |
0.959798 | + | 0.280693i | \(0.0905642\pi\) | |||||||
\(224\) | −11.5895 | + | 17.3186i | −0.774353 | + | 1.15715i | ||||
\(225\) | 0.812051 | − | 1.23910i | 0.0541367 | − | 0.0826066i | ||||
\(226\) | 1.48164 | + | 2.56628i | 0.0985573 | + | 0.170706i | ||||
\(227\) | −1.87507 | − | 3.24772i | −0.124453 | − | 0.215559i | 0.797066 | − | 0.603892i | \(-0.206384\pi\) |
−0.921519 | + | 0.388333i | \(0.873051\pi\) | |||||||
\(228\) | −12.3314 | − | 10.4175i | −0.816665 | − | 0.689914i | ||||
\(229\) | 9.79856 | + | 14.3718i | 0.647507 | + | 0.949718i | 0.999904 | + | 0.0138674i | \(0.00441427\pi\) |
−0.352397 | + | 0.935851i | \(0.614633\pi\) | |||||||
\(230\) | 30.7851 | + | 4.64010i | 2.02991 | + | 0.305959i | ||||
\(231\) | 3.95969 | − | 5.56984i | 0.260529 | − | 0.366469i | ||||
\(232\) | −0.606489 | + | 0.0914135i | −0.0398180 | + | 0.00600159i | ||||
\(233\) | −8.30325 | − | 8.94877i | −0.543964 | − | 0.586254i | 0.399912 | − | 0.916553i | \(-0.369041\pi\) |
−0.943876 | + | 0.330300i | \(0.892850\pi\) | |||||||
\(234\) | 2.96612 | − | 22.4549i | 0.193902 | − | 1.46792i | ||||
\(235\) | −18.0135 | + | 12.2814i | −1.17507 | + | 0.801152i | ||||
\(236\) | 13.7400 | − | 17.2294i | 0.894398 | − | 1.12154i | ||||
\(237\) | −10.3225 | + | 6.61832i | −0.670518 | + | 0.429906i | ||||
\(238\) | 14.6914 | − | 31.1944i | 0.952302 | − | 2.02203i | ||||
\(239\) | −3.37282 | + | 0.252758i | −0.218170 | + | 0.0163496i | −0.183367 | − | 0.983045i | \(-0.558700\pi\) |
−0.0348033 | + | 0.999394i | \(0.511080\pi\) | |||||||
\(240\) | −0.717352 | − | 15.4046i | −0.0463049 | − | 0.994366i | ||||
\(241\) | 1.51316 | + | 4.90554i | 0.0974712 | + | 0.315994i | 0.991156 | − | 0.132701i | \(-0.0423651\pi\) |
−0.893685 | + | 0.448695i | \(0.851889\pi\) | |||||||
\(242\) | −17.2776 | − | 1.29478i | −1.11065 | − | 0.0832316i | ||||
\(243\) | −14.9334 | − | 4.47145i | −0.957977 | − | 0.286844i | ||||
\(244\) | − | 26.3063i | − | 1.68409i | ||||||
\(245\) | −14.7296 | − | 1.96018i | −0.941037 | − | 0.125231i | ||||
\(246\) | 18.6005 | − | 13.9920i | 1.18593 | − | 0.892099i | ||||
\(247\) | 18.5727 | − | 2.79938i | 1.18175 | − | 0.178121i | ||||
\(248\) | −1.65279 | + | 0.795941i | −0.104952 | + | 0.0505423i | ||||
\(249\) | −17.2297 | − | 12.4746i | −1.09188 | − | 0.790545i | ||||
\(250\) | −9.98969 | − | 20.7438i | −0.631803 | − | 1.31195i | ||||
\(251\) | 5.28394 | + | 2.54461i | 0.333519 | + | 0.160614i | 0.593147 | − | 0.805094i | \(-0.297885\pi\) |
−0.259627 | + | 0.965709i | \(0.583600\pi\) | |||||||
\(252\) | 14.9840 | − | 1.52941i | 0.943905 | − | 0.0963436i | ||||
\(253\) | 9.98123 | − | 4.80671i | 0.627514 | − | 0.302195i | ||||
\(254\) | 8.73629 | + | 6.96696i | 0.548164 | + | 0.437146i | ||||
\(255\) | 4.72995 | + | 23.8060i | 0.296201 | + | 1.49079i | ||||
\(256\) | 10.9175 | + | 13.6901i | 0.682343 | + | 0.855631i | ||||
\(257\) | −17.2461 | − | 5.31971i | −1.07578 | − | 0.331835i | −0.294268 | − | 0.955723i | \(-0.595076\pi\) |
−0.781513 | + | 0.623889i | \(0.785552\pi\) | |||||||
\(258\) | 4.36088 | + | 15.7000i | 0.271496 | + | 0.977438i | ||||
\(259\) | −0.410430 | + | 6.19546i | −0.0255029 | + | 0.384967i | ||||
\(260\) | −12.0440 | − | 9.60481i | −0.746940 | − | 0.595665i | ||||
\(261\) | 6.78521 | + | 6.06891i | 0.419994 | + | 0.375656i | ||||
\(262\) | 8.78636 | − | 28.4847i | 0.542823 | − | 1.75979i | ||||
\(263\) | 21.2153 | − | 12.2487i | 1.30819 | − | 0.755286i | 0.326399 | − | 0.945232i | \(-0.394165\pi\) |
0.981794 | + | 0.189946i | \(0.0608314\pi\) | |||||||
\(264\) | −0.313849 | − | 0.417220i | −0.0193161 | − | 0.0256781i | ||||
\(265\) | 1.70904 | + | 1.84191i | 0.104986 | + | 0.113148i | ||||
\(266\) | 9.57866 | + | 23.7987i | 0.587306 | + | 1.45919i | ||||
\(267\) | −10.4247 | + | 4.66204i | −0.637980 | + | 0.285312i | ||||
\(268\) | −2.86492 | + | 12.5520i | −0.175003 | + | 0.766738i | ||||
\(269\) | 3.16894 | + | 8.07433i | 0.193214 | + | 0.492301i | 0.994346 | − | 0.106186i | \(-0.0338640\pi\) |
−0.801132 | + | 0.598487i | \(0.795769\pi\) | |||||||
\(270\) | −16.1105 | + | 14.6513i | −0.980454 | + | 0.891652i | ||||
\(271\) | −6.43922 | − | 20.8754i | −0.391155 | − | 1.26809i | −0.910493 | − | 0.413524i | \(-0.864298\pi\) |
0.519338 | − | 0.854569i | \(-0.326178\pi\) | |||||||
\(272\) | −20.2965 | − | 18.8324i | −1.23066 | − | 1.14188i | ||||
\(273\) | −10.1543 | + | 14.2833i | −0.614564 | + | 0.864467i | ||||
\(274\) | −11.6672 | + | 10.8256i | −0.704840 | + | 0.653996i | ||||
\(275\) | −0.637772 | − | 0.368218i | −0.0384591 | − | 0.0222044i | ||||
\(276\) | 22.4675 | + | 9.55917i | 1.35239 | + | 0.575394i | ||||
\(277\) | 8.33172 | − | 7.73071i | 0.500605 | − | 0.464493i | −0.388991 | − | 0.921241i | \(-0.627176\pi\) |
0.889596 | + | 0.456748i | \(0.150986\pi\) | |||||||
\(278\) | 1.88620 | + | 25.1696i | 0.113127 | + | 1.50957i | ||||
\(279\) | 24.7428 | + | 11.3635i | 1.48131 | + | 0.680314i | ||||
\(280\) | −0.483682 | + | 1.02701i | −0.0289055 | + | 0.0613754i | ||||
\(281\) | −2.62081 | − | 17.3879i | −0.156344 | − | 1.03728i | −0.920075 | − | 0.391742i | \(-0.871873\pi\) |
0.763731 | − | 0.645535i | \(-0.223366\pi\) | |||||||
\(282\) | −33.0415 | + | 11.9016i | −1.96759 | + | 0.708728i | ||||
\(283\) | 3.72568 | − | 2.97113i | 0.221468 | − | 0.176615i | −0.506470 | − | 0.862257i | \(-0.669050\pi\) |
0.727939 | + | 0.685642i | \(0.240479\pi\) | |||||||
\(284\) | −8.71229 | + | 18.0913i | −0.516979 | + | 1.07352i | ||||
\(285\) | −15.3773 | − | 9.46741i | −0.910873 | − | 0.560801i | ||||
\(286\) | −11.2277 | − | 0.841398i | −0.663906 | − | 0.0497529i | ||||
\(287\) | −17.7840 | + | 2.83804i | −1.04976 | + | 0.167524i | ||||
\(288\) | 4.83623 | − | 23.1286i | 0.284977 | − | 1.36286i | ||||
\(289\) | 21.9590 | + | 14.9714i | 1.29170 | + | 0.880669i | ||||
\(290\) | 12.1520 | − | 3.74839i | 0.713588 | − | 0.220113i | ||||
\(291\) | −12.7224 | + | 0.592447i | −0.745800 | + | 0.0347299i | ||||
\(292\) | 1.05600 | + | 7.00613i | 0.0617980 | + | 0.410003i | ||||
\(293\) | −6.59391 | − | 11.4210i | −0.385221 | − | 0.667222i | 0.606579 | − | 0.795023i | \(-0.292541\pi\) |
−0.991800 | + | 0.127801i | \(0.959208\pi\) | |||||||
\(294\) | −22.1845 | − | 8.98877i | −1.29383 | − | 0.524236i | ||||
\(295\) | 12.3260 | − | 21.3493i | 0.717648 | − | 1.24300i | ||||
\(296\) | 0.441558 | + | 0.173299i | 0.0256650 | + | 0.0100728i | ||||
\(297\) | −1.79975 | + | 7.53703i | −0.104432 | + | 0.437343i | ||||
\(298\) | 19.7074 | + | 18.2858i | 1.14162 | + | 1.05927i | ||||
\(299\) | −25.5959 | + | 12.3263i | −1.48025 | + | 0.712851i | ||||
\(300\) | −0.316307 | − | 1.59198i | −0.0182620 | − | 0.0919130i | ||||
\(301\) | 2.69900 | − | 12.3151i | 0.155568 | − | 0.709833i | ||||
\(302\) | −11.4277 | + | 16.7613i | −0.657588 | + | 0.964504i | ||||
\(303\) | 4.94784 | + | 0.139894i | 0.284246 | + | 0.00803669i | ||||
\(304\) | 20.5422 | − | 1.53943i | 1.17818 | − | 0.0882923i | ||||
\(305\) | −4.38595 | − | 29.0989i | −0.251139 | − | 1.66620i | ||||
\(306\) | −2.20910 | + | 39.0351i | −0.126286 | + | 2.23149i | ||||
\(307\) | 9.45142 | − | 7.53725i | 0.539421 | − | 0.430174i | −0.315505 | − | 0.948924i | \(-0.602174\pi\) |
0.854926 | + | 0.518750i | \(0.173603\pi\) | |||||||
\(308\) | −1.17990 | − | 7.39361i | −0.0672310 | − | 0.421290i | ||||
\(309\) | 16.5244 | − | 8.92741i | 0.940038 | − | 0.507863i | ||||
\(310\) | 31.4264 | − | 21.4262i | 1.78490 | − | 1.21692i | ||||
\(311\) | 1.67153 | + | 7.32344i | 0.0947836 | + | 0.415274i | 0.999952 | − | 0.00977856i | \(-0.00311266\pi\) |
−0.905169 | + | 0.425053i | \(0.860256\pi\) | |||||||
\(312\) | 0.804836 | + | 1.06992i | 0.0455649 | + | 0.0605724i | ||||
\(313\) | − | 5.29246i | − | 0.299147i | −0.988751 | − | 0.149574i | \(-0.952210\pi\) | ||
0.988751 | − | 0.149574i | \(-0.0477901\pi\) | |||||||
\(314\) | −3.86413 | − | 16.9299i | −0.218065 | − | 0.955407i | ||||
\(315\) | 16.3197 | − | 4.19000i | 0.919511 | − | 0.236080i | ||||
\(316\) | −2.98937 | + | 13.0973i | −0.168165 | + | 0.736779i | ||||
\(317\) | 29.8491 | + | 6.81286i | 1.67649 | + | 0.382648i | 0.951871 | − | 0.306500i | \(-0.0991580\pi\) |
0.724620 | + | 0.689148i | \(0.242015\pi\) | |||||||
\(318\) | 1.92389 | + | 3.56106i | 0.107887 | + | 0.199695i | ||||
\(319\) | 2.82142 | − | 3.53795i | 0.157969 | − | 0.198087i | ||||
\(320\) | −11.1433 | − | 10.3395i | −0.622932 | − | 0.577997i | ||||
\(321\) | 2.02963 | + | 4.53840i | 0.113283 | + | 0.253309i | ||||
\(322\) | −24.4547 | − | 30.1269i | −1.36280 | − | 1.67890i | ||||
\(323\) | −31.6088 | + | 7.21450i | −1.75876 | + | 0.401425i | ||||
\(324\) | −15.1063 | + | 7.96722i | −0.839240 | + | 0.442623i | ||||
\(325\) | 1.63551 | + | 0.944261i | 0.0907217 | + | 0.0523782i | ||||
\(326\) | −1.84832 | − | 1.99201i | −0.102369 | − | 0.110327i | ||||
\(327\) | 0.676610 | − | 0.593112i | 0.0374166 | − | 0.0327992i | ||||
\(328\) | −0.205056 | + | 1.36046i | −0.0113223 | + | 0.0751188i | ||||
\(329\) | 26.9036 | + | 3.81738i | 1.48324 | + | 0.210459i | ||||
\(330\) | 7.72395 | + | 7.58413i | 0.425189 | + | 0.417492i | ||||
\(331\) | 4.85471 | + | 21.2699i | 0.266839 | + | 1.16910i | 0.913667 | + | 0.406463i | \(0.133238\pi\) |
−0.646828 | + | 0.762636i | \(0.723905\pi\) | |||||||
\(332\) | −23.0445 | + | 3.47341i | −1.26473 | + | 0.190628i | ||||
\(333\) | −2.19773 | − | 6.68857i | −0.120435 | − | 0.366531i | ||||
\(334\) | −2.51191 | + | 16.6654i | −0.137445 | + | 0.911891i | ||||
\(335\) | −1.07630 | + | 14.3622i | −0.0588044 | + | 0.784690i | ||||
\(336\) | −12.2763 | + | 14.7893i | −0.669728 | + | 0.806824i | ||||
\(337\) | 0.956012 | + | 12.7571i | 0.0520773 | + | 0.694923i | 0.960750 | + | 0.277415i | \(0.0894775\pi\) |
−0.908673 | + | 0.417508i | \(0.862903\pi\) | |||||||
\(338\) | 3.19898 | + | 0.239730i | 0.174001 | + | 0.0130396i | ||||
\(339\) | 1.06135 | + | 2.37325i | 0.0576444 | + | 0.128897i | ||||
\(340\) | 21.9709 | + | 14.9795i | 1.19154 | + | 0.812377i | ||||
\(341\) | 4.94474 | − | 12.5990i | 0.267773 | − | 0.682274i | ||||
\(342\) | −20.1717 | − | 20.9587i | −1.09076 | − | 1.13332i | ||||
\(343\) | 11.9190 | + | 14.1752i | 0.643565 | + | 0.765391i | ||||
\(344\) | −0.834122 | − | 0.481581i | −0.0449729 | − | 0.0259651i | ||||
\(345\) | 26.4464 | + | 6.82802i | 1.42383 | + | 0.367608i | ||||
\(346\) | 3.48307 | + | 7.23268i | 0.187251 | + | 0.388831i | ||||
\(347\) | −6.31673 | − | 1.44175i | −0.339100 | − | 0.0773973i | 0.0495802 | − | 0.998770i | \(-0.484212\pi\) |
−0.388680 | + | 0.921373i | \(0.627069\pi\) | |||||||
\(348\) | 9.96274 | − | 0.463937i | 0.534059 | − | 0.0248697i | ||||
\(349\) | −10.8880 | − | 15.9698i | −0.582822 | − | 0.854843i | 0.415683 | − | 0.909510i | \(-0.363543\pi\) |
−0.998505 | + | 0.0546669i | \(0.982590\pi\) | |||||||
\(350\) | −0.738953 | + | 2.47132i | −0.0394987 | + | 0.132098i | ||||
\(351\) | 4.61528 | − | 19.3280i | 0.246346 | − | 1.03165i | ||||
\(352\) | −11.6145 | − | 1.75061i | −0.619057 | − | 0.0933078i | ||||
\(353\) | −0.202156 | − | 2.69759i | −0.0107597 | − | 0.143578i | 0.989237 | − | 0.146325i | \(-0.0467446\pi\) |
−0.999996 | + | 0.00274719i | \(0.999126\pi\) | |||||||
\(354\) | 27.8221 | − | 28.3351i | 1.47873 | − | 1.50599i | ||||
\(355\) | −6.62087 | + | 21.4643i | −0.351400 | + | 1.13921i | ||||
\(356\) | −4.57088 | + | 11.6464i | −0.242256 | + | 0.617259i | ||||
\(357\) | 15.6364 | − | 25.8963i | 0.827568 | − | 1.37058i | ||||
\(358\) | −0.0680864 | − | 0.173481i | −0.00359848 | − | 0.00916878i | ||||
\(359\) | 34.2770 | − | 2.56871i | 1.80907 | − | 0.135571i | 0.873077 | − | 0.487582i | \(-0.162121\pi\) |
0.935996 | + | 0.352011i | \(0.114502\pi\) | |||||||
\(360\) | 0.0727298 | − | 1.28515i | 0.00383320 | − | 0.0677331i | ||||
\(361\) | 2.56099 | − | 4.43576i | 0.134789 | − | 0.233461i | ||||
\(362\) | −38.7975 | −2.03915 | ||||||||
\(363\) | −14.9608 | − | 2.68944i | −0.785239 | − | 0.141159i | ||||
\(364\) | 3.02574 | + | 18.9602i | 0.158592 | + | 0.993786i | ||||
\(365\) | 2.33621 | + | 7.57382i | 0.122283 | + | 0.396432i | ||||
\(366\) | 4.87704 | − | 47.1519i | 0.254927 | − | 2.46467i | ||||
\(367\) | −4.08896 | + | 27.1284i | −0.213442 | + | 1.41609i | 0.583537 | + | 0.812086i | \(0.301668\pi\) |
−0.796979 | + | 0.604007i | \(0.793570\pi\) | |||||||
\(368\) | −29.0043 | + | 11.3834i | −1.51196 | + | 0.593399i | ||||
\(369\) | 17.4951 | − | 10.5315i | 0.910757 | − | 0.548248i | ||||
\(370\) | −9.58851 | − | 2.18852i | −0.498483 | − | 0.113775i | ||||
\(371\) | −0.0270875 | − | 3.13158i | −0.00140631 | − | 0.162583i | ||||
\(372\) | 28.0650 | − | 10.1090i | 1.45510 | − | 0.524129i | ||||
\(373\) | 11.5687 | − | 20.0376i | 0.599004 | − | 1.03751i | −0.393964 | − | 0.919126i | \(-0.628896\pi\) |
0.992968 | − | 0.118380i | \(-0.0377702\pi\) | |||||||
\(374\) | 19.4352 | 1.00497 | ||||||||
\(375\) | −6.84532 | − | 19.0042i | −0.353491 | − | 0.981372i | ||||
\(376\) | 0.900709 | − | 1.87034i | 0.0464505 | − | 0.0964555i | ||||
\(377\) | −7.23528 | + | 9.07275i | −0.372636 | + | 0.467271i | ||||
\(378\) | 27.1413 | + | 0.0366161i | 1.39600 | + | 0.00188333i | ||||
\(379\) | −5.62350 | − | 7.05164i | −0.288860 | − | 0.362218i | 0.616136 | − | 0.787640i | \(-0.288697\pi\) |
−0.904995 | + | 0.425422i | \(0.860126\pi\) | |||||||
\(380\) | −19.2882 | + | 4.40241i | −0.989464 | + | 0.225839i | ||||
\(381\) | 6.99505 | + | 6.86842i | 0.358367 | + | 0.351880i | ||||
\(382\) | 18.3443 | + | 8.83416i | 0.938578 | + | 0.451995i | ||||
\(383\) | 2.81018 | + | 7.16023i | 0.143594 | + | 0.365871i | 0.984518 | − | 0.175282i | \(-0.0560836\pi\) |
−0.840925 | + | 0.541152i | \(0.817988\pi\) | |||||||
\(384\) | 1.50970 | + | 2.35465i | 0.0770415 | + | 0.120160i | ||||
\(385\) | −2.53786 | − | 7.98178i | −0.129342 | − | 0.406789i | ||||
\(386\) | 2.04011 | − | 4.23634i | 0.103839 | − | 0.215624i | ||||
\(387\) | 2.38849 | + | 14.0945i | 0.121414 | + | 0.716466i | ||||
\(388\) | −9.49088 | + | 10.2287i | −0.481827 | + | 0.519286i | ||||
\(389\) | 0.746429 | − | 1.09481i | 0.0378455 | − | 0.0555091i | −0.806850 | − | 0.590757i | \(-0.798829\pi\) |
0.844695 | + | 0.535248i | \(0.179782\pi\) | |||||||
\(390\) | −19.8074 | − | 19.4488i | −1.00298 | − | 0.984828i | ||||
\(391\) | 42.4692 | − | 24.5196i | 2.14776 | − | 1.24001i | ||||
\(392\) | 1.30794 | − | 0.539620i | 0.0660607 | − | 0.0272549i | ||||
\(393\) | 10.2387 | − | 24.0647i | 0.516474 | − | 1.21390i | ||||
\(394\) | −15.2269 | − | 19.0939i | −0.767119 | − | 0.961937i | ||||
\(395\) | −1.12305 | + | 14.9861i | −0.0565068 | + | 0.754030i | ||||
\(396\) | 4.37842 | + | 7.27349i | 0.220024 | + | 0.365506i | ||||
\(397\) | 11.5284 | − | 16.9091i | 0.578596 | − | 0.848644i | −0.419660 | − | 0.907681i | \(-0.637851\pi\) |
0.998256 | + | 0.0590370i | \(0.0188030\pi\) | |||||||
\(398\) | −36.7336 | + | 25.0445i | −1.84129 | + | 1.25537i | ||||
\(399\) | 6.21089 | + | 21.6330i | 0.310933 | + | 1.08300i | ||||
\(400\) | 1.71135 | + | 1.16678i | 0.0855675 | + | 0.0583389i | ||||
\(401\) | 21.9595 | − | 8.61845i | 1.09660 | − | 0.430385i | 0.253062 | − | 0.967450i | \(-0.418562\pi\) |
0.843541 | + | 0.537065i | \(0.180467\pi\) | |||||||
\(402\) | −7.46223 | + | 21.9674i | −0.372182 | + | 1.09564i | ||||
\(403\) | −12.6803 | + | 32.3090i | −0.631652 | + | 1.60942i | ||||
\(404\) | 3.97532 | − | 3.68856i | 0.197780 | − | 0.183513i | ||||
\(405\) | −15.3816 | + | 11.3316i | −0.764319 | + | 0.563073i | ||||
\(406\) | −14.3393 | − | 6.75327i | −0.711646 | − | 0.335159i | ||||
\(407\) | −3.25781 | + | 1.27860i | −0.161484 | + | 0.0633776i | ||||
\(408\) | −1.52341 | − | 1.73788i | −0.0754201 | − | 0.0860377i | ||||
\(409\) | 14.1744 | − | 3.23521i | 0.700877 | − | 0.159971i | 0.142790 | − | 0.989753i | \(-0.454393\pi\) |
0.558087 | + | 0.829782i | \(0.311536\pi\) | |||||||
\(410\) | − | 28.5263i | − | 1.40881i | ||||||
\(411\) | −11.1587 | + | 8.39404i | −0.550421 | + | 0.414048i | ||||
\(412\) | 6.06520 | − | 19.6629i | 0.298811 | − | 0.968721i | ||||
\(413\) | −29.2809 | + | 9.31008i | −1.44082 | + | 0.458119i | ||||
\(414\) | 38.4991 | + | 21.2994i | 1.89213 | + | 1.04681i | ||||
\(415\) | −24.9118 | + | 7.68427i | −1.22287 | + | 0.377206i | ||||
\(416\) | 29.7844 | + | 4.48927i | 1.46030 | + | 0.220105i | ||||
\(417\) | −0.625838 | + | 22.1350i | −0.0306474 | + | 1.08396i | ||||
\(418\) | −9.83524 | + | 10.5999i | −0.481057 | + | 0.518456i | ||||
\(419\) | −11.6928 | + | 3.60674i | −0.571229 | + | 0.176201i | −0.566895 | − | 0.823790i | \(-0.691856\pi\) |
−0.00433377 | + | 0.999991i | \(0.501379\pi\) | |||||||
\(420\) | 9.54161 | − | 15.8024i | 0.465583 | − | 0.771077i | ||||
\(421\) | 22.4530 | + | 6.92585i | 1.09429 | + | 0.337545i | 0.788801 | − | 0.614649i | \(-0.210702\pi\) |
0.305494 | + | 0.952194i | \(0.401178\pi\) | |||||||
\(422\) | 15.4685 | − | 8.93072i | 0.752993 | − | 0.434741i | ||||
\(423\) | −29.9086 | + | 7.40373i | −1.45421 | + | 0.359982i | ||||
\(424\) | −0.228621 | − | 0.0705202i | −0.0111028 | − | 0.00342476i | ||||
\(425\) | −2.93707 | − | 1.41442i | −0.142469 | − | 0.0686093i | ||||
\(426\) | −18.9701 | + | 30.8120i | −0.919106 | + | 1.49285i | ||||
\(427\) | −20.3983 | + | 30.4819i | −0.987141 | + | 1.47512i | ||||
\(428\) | 5.07029 | + | 1.98994i | 0.245082 | + | 0.0961874i | ||||
\(429\) | −9.72211 | − | 1.74770i | −0.469388 | − | 0.0843797i | ||||
\(430\) | 18.5897 | + | 7.29591i | 0.896474 | + | 0.351840i | ||||
\(431\) | 15.0526 | + | 22.0780i | 0.725056 | + | 1.06346i | 0.994930 | + | 0.100566i | \(0.0320655\pi\) |
−0.269874 | + | 0.962896i | \(0.586982\pi\) | |||||||
\(432\) | 6.63184 | − | 20.7606i | 0.319074 | − | 0.998845i | ||||
\(433\) | 5.26920 | + | 10.9416i | 0.253221 | + | 0.525820i | 0.988367 | − | 0.152090i | \(-0.0486003\pi\) |
−0.735145 | + | 0.677910i | \(0.762886\pi\) | |||||||
\(434\) | −46.9360 | − | 6.65979i | −2.25300 | − | 0.319680i | ||||
\(435\) | 10.9430 | − | 2.17424i | 0.524677 | − | 0.104247i | ||||
\(436\) | 0.0736672 | − | 0.983021i | 0.00352802 | − | 0.0470782i | ||||
\(437\) | −8.11880 | + | 35.5708i | −0.388375 | + | 1.70158i | ||||
\(438\) | 0.593906 | + | 12.7537i | 0.0283779 | + | 0.609397i | ||||
\(439\) | 17.0614 | − | 13.6060i | 0.814296 | − | 0.649379i | −0.125127 | − | 0.992141i | \(-0.539934\pi\) |
0.939422 | + | 0.342761i | \(0.111362\pi\) | |||||||
\(440\) | −0.639860 | −0.0305041 | ||||||||
\(441\) | −18.5484 | − | 9.84666i | −0.883257 | − | 0.468889i | ||||
\(442\) | −49.8397 | −2.37063 | ||||||||
\(443\) | 2.08187 | − | 1.66024i | 0.0989128 | − | 0.0788803i | −0.572785 | − | 0.819706i | \(-0.694137\pi\) |
0.671698 | + | 0.740826i | \(0.265565\pi\) | |||||||
\(444\) | −6.85215 | − | 3.54178i | −0.325189 | − | 0.168086i | ||||
\(445\) | −3.11435 | + | 13.6449i | −0.147634 | + | 0.646828i | ||||
\(446\) | 1.96992 | − | 26.2868i | 0.0932785 | − | 1.24472i | ||||
\(447\) | 15.5475 | + | 17.7363i | 0.735372 | + | 0.838897i | ||||
\(448\) | 1.57923 | + | 18.8804i | 0.0746116 | + | 0.892017i | ||||
\(449\) | 9.11866 | + | 18.9351i | 0.430336 | + | 0.893602i | 0.997545 | + | 0.0700282i | \(0.0223089\pi\) |
−0.567209 | + | 0.823574i | \(0.691977\pi\) | |||||||
\(450\) | −0.271811 | − | 2.91214i | −0.0128133 | − | 0.137280i | ||||
\(451\) | −5.71816 | − | 8.38700i | −0.269258 | − | 0.394929i | ||||
\(452\) | 2.65139 | + | 1.04059i | 0.124711 | + | 0.0489454i | ||||
\(453\) | −11.4855 | + | 13.5956i | −0.539636 | + | 0.638777i | ||||
\(454\) | −6.89189 | − | 2.70487i | −0.323452 | − | 0.126946i | ||||
\(455\) | 6.50812 | + | 20.4685i | 0.305105 | + | 0.959580i | ||||
\(456\) | 1.71876 | + | 0.0485957i | 0.0804883 | + | 0.00227570i | ||||
\(457\) | −29.1739 | − | 14.0494i | −1.36470 | − | 0.657203i | −0.399017 | − | 0.916943i | \(-0.630649\pi\) |
−0.965678 | + | 0.259740i | \(0.916363\pi\) | |||||||
\(458\) | 32.8148 | + | 10.1220i | 1.53334 | + | 0.472972i | ||||
\(459\) | −5.45122 | + | 33.8654i | −0.254441 | + | 1.58070i | ||||
\(460\) | 25.9154 | − | 14.9623i | 1.20831 | − | 0.697619i | ||||
\(461\) | 38.2583 | + | 11.8011i | 1.78186 | + | 0.549632i | 0.997500 | − | 0.0706676i | \(-0.0225130\pi\) |
0.784365 | + | 0.620300i | \(0.212989\pi\) | |||||||
\(462\) | −0.744142 | − | 13.4712i | −0.0346206 | − | 0.626738i | ||||
\(463\) | −8.09882 | + | 2.49815i | −0.376384 | + | 0.116099i | −0.477174 | − | 0.878809i | \(-0.658339\pi\) |
0.100791 | + | 0.994908i | \(0.467863\pi\) | |||||||
\(464\) | −8.65678 | + | 9.32979i | −0.401881 | + | 0.433124i | ||||
\(465\) | 29.3589 | − | 15.8614i | 1.36149 | − | 0.735553i | ||||
\(466\) | −23.8315 | − | 3.59201i | −1.10397 | − | 0.166397i | ||||
\(467\) | −0.532162 | + | 0.164150i | −0.0246255 | + | 0.00759596i | −0.307043 | − | 0.951695i | \(-0.599340\pi\) |
0.282418 | + | 0.959291i | \(0.408864\pi\) | |||||||
\(468\) | −11.2280 | − | 18.6522i | −0.519016 | − | 0.862197i | ||||
\(469\) | 13.0527 | − | 12.3229i | 0.602718 | − | 0.569021i | ||||
\(470\) | −12.6869 | + | 41.1298i | −0.585202 | + | 1.89718i | ||||
\(471\) | −1.84398 | − | 15.1230i | −0.0849661 | − | 0.696830i | ||||
\(472\) | 2.34731i | 0.108044i | ||||||||
\(473\) | 6.92803 | − | 1.58128i | 0.318551 | − | 0.0727072i | ||||
\(474\) | −7.78638 | + | 22.9217i | −0.357640 | + | 1.05283i | ||||
\(475\) | 2.25773 | − | 0.886095i | 0.103592 | − | 0.0406568i | ||||
\(476\) | −7.65413 | − | 32.2467i | −0.350826 | − | 1.47802i | ||||
\(477\) | 1.35749 | + | 3.28129i | 0.0621553 | + | 0.150240i | ||||
\(478\) | −4.89490 | + | 4.54181i | −0.223888 | + | 0.207737i | ||||
\(479\) | −6.00193 | + | 15.2927i | −0.274235 | + | 0.698739i | 0.725707 | + | 0.688004i | \(0.241513\pi\) |
−0.999942 | + | 0.0107359i | \(0.996583\pi\) | |||||||
\(480\) | −19.0893 | − | 21.7767i | −0.871305 | − | 0.993966i | ||||
\(481\) | 8.35435 | − | 3.27884i | 0.380925 | − | 0.149502i | ||||
\(482\) | 8.37392 | + | 5.70924i | 0.381422 | + | 0.260049i | ||||
\(483\) | −18.6215 | − | 28.4982i | −0.847309 | − | 1.29671i | ||||
\(484\) | −13.7599 | + | 9.38134i | −0.625450 | + | 0.426424i | ||||
\(485\) | −8.79301 | + | 12.8970i | −0.399270 | + | 0.585622i | ||||
\(486\) | −28.5540 | + | 11.4800i | −1.29524 | + | 0.520743i | ||||
\(487\) | −3.01818 | + | 40.2749i | −0.136767 | + | 1.82503i | 0.333777 | + | 0.942652i | \(0.391677\pi\) |
−0.470544 | + | 0.882377i | \(0.655942\pi\) | |||||||
\(488\) | 1.74703 | + | 2.19071i | 0.0790845 | + | 0.0991688i | ||||
\(489\) | −1.43317 | − | 1.90520i | −0.0648101 | − | 0.0861563i | ||||
\(490\) | −25.1482 | + | 15.1053i | −1.13608 | + | 0.682388i | ||||
\(491\) | 0.916988 | − | 0.529423i | 0.0413831 | − | 0.0238925i | −0.479166 | − | 0.877724i | \(-0.659061\pi\) |
0.520549 | + | 0.853832i | \(0.325727\pi\) | |||||||
\(492\) | 5.59277 | − | 21.6620i | 0.252141 | − | 0.976598i | ||||
\(493\) | 11.2840 | − | 16.5506i | 0.508206 | − | 0.745402i | ||||
\(494\) | 25.2216 | − | 27.1824i | 1.13477 | − | 1.22299i | ||||
\(495\) | 6.05590 | + | 7.31562i | 0.272192 | + | 0.328813i | ||||
\(496\) | −16.5164 | + | 34.2968i | −0.741610 | + | 1.53997i | ||||
\(497\) | 24.1234 | − | 14.2073i | 1.08208 | − | 0.637284i | ||||
\(498\) | −41.9495 | + | 1.95348i | −1.87980 | + | 0.0875374i | ||||
\(499\) | 11.0801 | + | 28.2317i | 0.496015 | + | 1.26382i | 0.931537 | + | 0.363647i | \(0.118469\pi\) |
−0.435522 | + | 0.900178i | \(0.643436\pi\) | |||||||
\(500\) | −19.9387 | − | 9.60199i | −0.891687 | − | 0.429414i | ||||
\(501\) | −3.69633 | + | 14.3167i | −0.165140 | + | 0.639622i | ||||
\(502\) | 11.2881 | − | 2.57643i | 0.503812 | − | 0.114992i | ||||
\(503\) | 11.6298 | + | 14.5834i | 0.518549 | + | 0.650240i | 0.970300 | − | 0.241904i | \(-0.0777719\pi\) |
−0.451751 | + | 0.892144i | \(0.649200\pi\) | |||||||
\(504\) | −1.14626 | + | 1.12247i | −0.0510584 | + | 0.0499990i | ||||
\(505\) | 3.78235 | − | 4.74292i | 0.168313 | − | 0.211057i | ||||
\(506\) | 9.48958 | − | 19.7053i | 0.421863 | − | 0.876008i | ||||
\(507\) | 2.77001 | + | 0.497953i | 0.123021 | + | 0.0221149i | ||||
\(508\) | 10.7405 | 0.476531 | ||||||||
\(509\) | −4.07396 | + | 7.05630i | −0.180575 | + | 0.312765i | −0.942076 | − | 0.335398i | \(-0.891129\pi\) |
0.761502 | + | 0.648163i | \(0.224463\pi\) | |||||||
\(510\) | 36.6040 | + | 30.9229i | 1.62085 | + | 1.36929i | ||||
\(511\) | 4.20903 | − | 8.93707i | 0.186196 | − | 0.395353i | ||||
\(512\) | 30.5540 | + | 6.97374i | 1.35031 | + | 0.308199i | ||||
\(513\) | −15.7114 | − | 20.1108i | −0.693677 | − | 0.887913i | ||||
\(514\) | −33.1678 | + | 13.0174i | −1.46297 | + | 0.574174i | ||||
\(515\) | 3.43074 | − | 22.7615i | 0.151177 | − | 1.00299i | ||||
\(516\) | 12.6860 | + | 9.18492i | 0.558471 | + | 0.404344i | ||||
\(517\) | 4.51451 | + | 14.6357i | 0.198548 | + | 0.643677i | ||||
\(518\) | 6.99259 | + | 10.0680i | 0.307237 | + | 0.442364i | ||||
\(519\) | 2.38674 | + | 6.62613i | 0.104766 | + | 0.290855i | ||||
\(520\) | 1.64086 | 0.0719566 | ||||||||
\(521\) | 4.15742 | − | 7.20086i | 0.182140 | − | 0.315476i | −0.760469 | − | 0.649374i | \(-0.775031\pi\) |
0.942609 | + | 0.333899i | \(0.108364\pi\) | |||||||
\(522\) | 17.9435 | + | 1.01547i | 0.785364 | + | 0.0444458i | ||||
\(523\) | 8.68565 | − | 0.650900i | 0.379797 | − | 0.0284619i | 0.116536 | − | 0.993186i | \(-0.462821\pi\) |
0.263261 | + | 0.964725i | \(0.415202\pi\) | |||||||
\(524\) | −10.4678 | − | 26.6715i | −0.457288 | − | 1.16515i | ||||
\(525\) | −0.867930 | + | 2.08995i | −0.0378796 | + | 0.0912128i | ||||
\(526\) | 17.6692 | − | 45.0204i | 0.770414 | − | 1.96298i | ||||
\(527\) | 17.6594 | − | 57.2504i | 0.769256 | − | 2.49387i | ||||
\(528\) | −10.4897 | − | 2.70828i | −0.456508 | − | 0.117863i | ||||
\(529\) | −2.40526 | − | 32.0960i | −0.104577 | − | 1.39548i | ||||
\(530\) | 4.90519 | + | 0.739339i | 0.213068 | + | 0.0321148i | ||||
\(531\) | 26.8372 | − | 22.2159i | 1.16463 | − | 0.964088i | ||||
\(532\) | 21.4606 | + | 12.1440i | 0.930436 | + | 0.526510i | ||||
\(533\) | 14.6637 | + | 21.5077i | 0.635155 | + | 0.931602i | ||||
\(534\) | −10.3521 | + | 20.0279i | −0.447981 | + | 0.866692i | ||||
\(535\) | 5.94031 | + | 1.35584i | 0.256822 | + | 0.0586180i | ||||
\(536\) | −0.595015 | − | 1.23556i | −0.0257007 | − | 0.0533681i | ||||
\(537\) | −0.0437581 | − | 0.157538i | −0.00188830 | − | 0.00679825i | ||||
\(538\) | 14.8302 | + | 8.56220i | 0.639374 | + | 0.369143i | ||||
\(539\) | −4.36593 | + | 9.48213i | −0.188054 | + | 0.408424i | ||||
\(540\) | −3.32642 | + | 20.6652i | −0.143147 | + | 0.889289i | ||||
\(541\) | −2.20611 | + | 5.62107i | −0.0948479 | + | 0.241669i | −0.970422 | − | 0.241416i | \(-0.922388\pi\) |
0.875574 | + | 0.483084i | \(0.160484\pi\) | |||||||
\(542\) | −35.6350 | − | 24.2955i | −1.53066 | − | 1.04358i | ||||
\(543\) | −33.8574 | − | 3.50195i | −1.45296 | − | 0.150283i | ||||
\(544\) | −51.8481 | − | 3.88548i | −2.22297 | − | 0.166588i | ||||
\(545\) | −0.0824080 | − | 1.09966i | −0.00352997 | − | 0.0471042i | ||||
\(546\) | 1.90828 | + | 34.5457i | 0.0816669 | + | 1.47842i | ||||
\(547\) | 2.16251 | − | 28.8566i | 0.0924621 | − | 1.23382i | −0.737246 | − | 0.675624i | \(-0.763874\pi\) |
0.829709 | − | 0.558197i | \(-0.188507\pi\) | |||||||
\(548\) | −2.28008 | + | 15.1273i | −0.0974002 | + | 0.646208i | ||||
\(549\) | 8.51210 | − | 40.7079i | 0.363288 | − | 1.73737i | ||||
\(550\) | −1.43766 | + | 0.216693i | −0.0613021 | + | 0.00923981i | ||||
\(551\) | 3.31632 | + | 14.5298i | 0.141280 | + | 0.618989i | ||||
\(552\) | −2.50587 | + | 0.696038i | −0.106657 | + | 0.0296253i | ||||
\(553\) | 13.6197 | − | 12.8582i | 0.579168 | − | 0.546788i | ||||
\(554\) | 3.34433 | − | 22.1882i | 0.142087 | − | 0.942686i | ||||
\(555\) | −8.17007 | − | 2.77533i | −0.346800 | − | 0.117806i | ||||
\(556\) | 16.5014 | + | 17.7843i | 0.699815 | + | 0.754221i | ||||
\(557\) | −4.14645 | − | 2.39395i | −0.175691 | − | 0.101435i | 0.409576 | − | 0.912276i | \(-0.365677\pi\) |
−0.585266 | + | 0.810841i | \(0.699010\pi\) | |||||||
\(558\) | 52.1785 | − | 12.9165i | 2.20889 | − | 0.546801i | ||||
\(559\) | −17.7663 | + | 4.05504i | −0.751434 | + | 0.171510i | ||||
\(560\) | 5.44026 | + | 22.9197i | 0.229893 | + | 0.968533i | ||||
\(561\) | 16.9605 | + | 1.75427i | 0.716072 | + | 0.0740651i | ||||
\(562\) | −25.4484 | − | 23.6127i | −1.07348 | − | 0.996040i | ||||
\(563\) | −18.1785 | + | 22.7951i | −0.766132 | + | 0.960699i | −0.999933 | − | 0.0115858i | \(-0.996312\pi\) |
0.233801 | + | 0.972284i | \(0.424883\pi\) | |||||||
\(564\) | −17.6978 | + | 28.7454i | −0.745212 | + | 1.21040i | ||||
\(565\) | 3.10635 | + | 0.709003i | 0.130685 | + | 0.0298280i | ||||
\(566\) | 2.09345 | − | 9.17200i | 0.0879943 | − | 0.385528i | ||||
\(567\) | 23.6821 | + | 2.48179i | 0.994554 | + | 0.104225i | ||||
\(568\) | −0.475929 | − | 2.08518i | −0.0199696 | − | 0.0874923i | ||||
\(569\) | 24.6840i | 1.03481i | 0.855741 | + | 0.517404i | \(0.173102\pi\) | ||||
−0.855741 | + | 0.517404i | \(0.826898\pi\) | |||||||
\(570\) | −35.3888 | + | 4.31504i | −1.48227 | + | 0.180737i | ||||
\(571\) | −3.38604 | − | 14.8352i | −0.141701 | − | 0.620833i | −0.995040 | − | 0.0994765i | \(-0.968283\pi\) |
0.853339 | − | 0.521357i | \(-0.174574\pi\) | |||||||
\(572\) | −8.94171 | + | 6.09635i | −0.373872 | + | 0.254901i | ||||
\(573\) | 15.2112 | + | 9.36512i | 0.635455 | + | 0.391233i | ||||
\(574\) | −23.9566 | + | 26.2712i | −0.999931 | + | 1.09654i | ||||
\(575\) | −2.86816 | + | 2.28728i | −0.119610 | + | 0.0953862i | ||||
\(576\) | −9.67320 | − | 19.1822i | −0.403050 | − | 0.799257i | ||||
\(577\) | 1.98385 | + | 13.1620i | 0.0825887 | + | 0.547940i | 0.991414 | + | 0.130763i | \(0.0417426\pi\) |
−0.908825 | + | 0.417178i | \(0.863019\pi\) | |||||||
\(578\) | 52.3227 | − | 3.92104i | 2.17634 | − | 0.163094i | ||||
\(579\) | 2.16273 | − | 3.51278i | 0.0898799 | − | 0.145986i | ||||
\(580\) | 6.88569 | − | 10.0995i | 0.285913 | − | 0.419357i | ||||
\(581\) | 29.3958 | + | 13.8443i | 1.21954 | + | 0.574360i | ||||
\(582\) | −18.9080 | + | 16.5747i | −0.783763 | + | 0.687042i | ||||
\(583\) | 1.59038 | − | 0.765885i | 0.0658666 | − | 0.0317197i | ||||
\(584\) | −0.553227 | − | 0.513320i | −0.0228927 | − | 0.0212413i | ||||
\(585\) | −15.5298 | − | 18.7602i | −0.642078 | − | 0.775640i | ||||
\(586\) | −24.2362 | − | 9.51199i | −1.00119 | − | 0.392937i | ||||
\(587\) | 9.22951 | − | 15.9860i | 0.380943 | − | 0.659812i | −0.610255 | − | 0.792205i | \(-0.708933\pi\) |
0.991197 | + | 0.132393i | \(0.0422662\pi\) | |||||||
\(588\) | −22.0583 | + | 6.54003i | −0.909669 | + | 0.269706i | ||||
\(589\) | 22.2875 | + | 38.6031i | 0.918342 | + | 1.59062i | ||||
\(590\) | −7.25373 | − | 48.1254i | −0.298631 | − | 1.98129i | ||||
\(591\) | −11.5646 | − | 18.0371i | −0.475703 | − | 0.741947i | ||||
\(592\) | 9.40582 | − | 2.90131i | 0.386577 | − | 0.119243i | ||||
\(593\) | 9.60241 | + | 6.54681i | 0.394324 | + | 0.268845i | 0.744208 | − | 0.667947i | \(-0.232827\pi\) |
−0.349885 | + | 0.936793i | \(0.613779\pi\) | |||||||
\(594\) | 6.49951 | + | 13.8489i | 0.266678 | + | 0.568227i | ||||
\(595\) | −13.8430 | − | 34.3937i | −0.567509 | − | 1.41001i | ||||
\(596\) | 25.7684 | + | 1.93107i | 1.05551 | + | 0.0790998i | ||||
\(597\) | −34.3169 | + | 18.5400i | −1.40450 | + | 0.758790i | ||||
\(598\) | −24.3352 | + | 50.5325i | −0.995138 | + | 2.06643i | ||||
\(599\) | −5.10362 | + | 4.07000i | −0.208528 | + | 0.166296i | −0.722185 | − | 0.691700i | \(-0.756862\pi\) |
0.513657 | + | 0.857996i | \(0.328291\pi\) | |||||||
\(600\) | 0.132067 | + | 0.111569i | 0.00539160 | + | 0.00455479i | ||||
\(601\) | −5.32773 | − | 35.3471i | −0.217322 | − | 1.44184i | −0.785463 | − | 0.618909i | \(-0.787575\pi\) |
0.568141 | − | 0.822932i | \(-0.307663\pi\) | |||||||
\(602\) | −10.9930 | − | 22.3309i | −0.448040 | − | 0.910141i | ||||
\(603\) | −8.49490 | + | 18.4968i | −0.345939 | + | 0.753246i | ||||
\(604\) | 1.45716 | + | 19.4444i | 0.0592909 | + | 0.791183i | ||||
\(605\) | −13.6565 | + | 12.6714i | −0.555215 | + | 0.515165i | ||||
\(606\) | 7.80930 | − | 5.87446i | 0.317231 | − | 0.238634i | ||||
\(607\) | −35.0267 | − | 20.2227i | −1.42169 | − | 0.820813i | −0.425247 | − | 0.905077i | \(-0.639813\pi\) |
−0.996443 | + | 0.0842640i | \(0.973146\pi\) | |||||||
\(608\) | 28.3571 | − | 26.3115i | 1.15003 | − | 1.06707i | ||||
\(609\) | −11.9039 | − | 7.18767i | −0.482370 | − | 0.291259i | ||||
\(610\) | −42.5881 | − | 39.5160i | −1.72434 | − | 1.59996i | ||||
\(611\) | −11.5770 | − | 37.5318i | −0.468357 | − | 1.51838i | ||||
\(612\) | 21.7333 | + | 30.6583i | 0.878517 | + | 1.23929i | ||||
\(613\) | 17.4786 | + | 44.5348i | 0.705954 | + | 1.79874i | 0.593097 | + | 0.805131i | \(0.297905\pi\) |
0.112858 | + | 0.993611i | \(0.464000\pi\) | |||||||
\(614\) | 5.31073 | − | 23.2678i | 0.214324 | − | 0.939013i | ||||
\(615\) | 2.57485 | − | 24.8940i | 0.103828 | − | 1.00382i | ||||
\(616\) | 0.589278 | + | 0.537360i | 0.0237427 | + | 0.0216509i | ||||
\(617\) | −9.31819 | − | 10.0426i | −0.375136 | − | 0.404301i | 0.517060 | − | 0.855949i | \(-0.327027\pi\) |
−0.892196 | + | 0.451649i | \(0.850836\pi\) | |||||||
\(618\) | 14.5168 | − | 34.1198i | 0.583951 | − | 1.37250i | ||||
\(619\) | −2.86077 | + | 1.65167i | −0.114984 | + | 0.0663860i | −0.556389 | − | 0.830922i | \(-0.687814\pi\) |
0.441405 | + | 0.897308i | \(0.354480\pi\) | |||||||
\(620\) | 10.7761 | − | 34.9351i | 0.432777 | − | 1.40303i | ||||
\(621\) | 31.6745 | + | 22.0624i | 1.27105 | + | 0.885334i | ||||
\(622\) | 11.5946 | + | 9.24638i | 0.464901 | + | 0.370746i | ||||
\(623\) | 14.3272 | − | 9.95075i | 0.574008 | − | 0.398668i | ||||
\(624\) | 26.9000 | + | 6.94513i | 1.07686 | + | 0.278028i | ||||
\(625\) | −21.2968 | − | 6.56921i | −0.851874 | − | 0.262768i | ||||
\(626\) | −6.51458 | − | 8.16902i | −0.260375 | − | 0.326500i | ||||
\(627\) | −9.53969 | + | 8.36244i | −0.380979 | + | 0.333964i | ||||
\(628\) | −13.0498 | − | 10.4069i | −0.520743 | − | 0.415279i | ||||
\(629\) | −13.9577 | + | 6.72167i | −0.556530 | + | 0.268011i | ||||
\(630\) | 20.0323 | − | 26.5556i | 0.798105 | − | 1.05800i | ||||
\(631\) | 13.9143 | + | 6.70077i | 0.553920 | + | 0.266754i | 0.689835 | − | 0.723967i | \(-0.257683\pi\) |
−0.135915 | + | 0.990720i | \(0.543397\pi\) | |||||||
\(632\) | −0.620861 | − | 1.28923i | −0.0246965 | − | 0.0512829i | ||||
\(633\) | 14.3050 | − | 6.39736i | 0.568572 | − | 0.254272i | ||||
\(634\) | 54.4588 | − | 26.2260i | 2.16283 | − | 1.04157i | ||||
\(635\) | 11.8806 | − | 1.79072i | 0.471469 | − | 0.0710625i | ||||
\(636\) | 3.57990 | + | 1.52313i | 0.141952 | + | 0.0603959i | ||||
\(637\) | 11.1960 | − | 24.3160i | 0.443602 | − | 0.963436i | ||||
\(638\) | − | 8.93385i | − | 0.353695i | ||||||
\(639\) | −19.3358 | + | 25.1764i | −0.764914 | + | 0.995963i | ||||
\(640\) | 3.41846 | + | 0.256178i | 0.135126 | + | 0.0101263i | ||||
\(641\) | −8.45861 | − | 27.4222i | −0.334095 | − | 1.08311i | −0.954345 | − | 0.298706i | \(-0.903445\pi\) |
0.620250 | − | 0.784404i | \(-0.287031\pi\) | |||||||
\(642\) | 8.71918 | + | 4.50682i | 0.344118 | + | 0.177870i | ||||
\(643\) | 1.64279 | − | 0.123110i | 0.0647855 | − | 0.00485500i | −0.0422979 | − | 0.999105i | \(-0.513468\pi\) |
0.107083 | + | 0.994250i | \(0.465849\pi\) | |||||||
\(644\) | −36.4322 | − | 7.98452i | −1.43563 | − | 0.314634i | ||||
\(645\) | 15.5641 | + | 8.04488i | 0.612836 | + | 0.316767i | ||||
\(646\) | −39.9084 | + | 50.0435i | −1.57017 | + | 1.96894i | ||||
\(647\) | 10.9803 | − | 7.48622i | 0.431679 | − | 0.294314i | −0.327920 | − | 0.944705i | \(-0.606348\pi\) |
0.759599 | + | 0.650392i | \(0.225395\pi\) | |||||||
\(648\) | 0.728898 | − | 1.66672i | 0.0286338 | − | 0.0654749i | ||||
\(649\) | −11.7795 | − | 12.6953i | −0.462386 | − | 0.498334i | ||||
\(650\) | 3.68675 | − | 0.555688i | 0.144606 | − | 0.0217959i | ||||
\(651\) | −40.3585 | − | 10.0484i | −1.58177 | − | 0.393826i | ||||
\(652\) | −2.58279 | − | 0.389292i | −0.101150 | − | 0.0152459i | ||||
\(653\) | −17.1923 | − | 25.2165i | −0.672787 | − | 0.986798i | −0.999136 | − | 0.0415484i | \(-0.986771\pi\) |
0.326349 | − | 0.945249i | \(-0.394181\pi\) | |||||||
\(654\) | 0.314290 | − | 1.74833i | 0.0122897 | − | 0.0683652i | ||||
\(655\) | −16.0259 | − | 27.7576i | −0.626183 | − | 1.08458i | ||||
\(656\) | 14.2748 | + | 24.7246i | 0.557336 | + | 0.965335i | ||||
\(657\) | −0.632898 | + | 11.1834i | −0.0246917 | + | 0.436306i | ||||
\(658\) | 46.2252 | − | 27.2239i | 1.80204 | − | 1.06130i | ||||
\(659\) | 6.99671 | − | 7.54066i | 0.272553 | − | 0.293743i | −0.581911 | − | 0.813252i | \(-0.697695\pi\) |
0.854465 | + | 0.519510i | \(0.173885\pi\) | |||||||
\(660\) | 10.3496 | + | 1.07048i | 0.402856 | + | 0.0416684i | ||||
\(661\) | −31.4218 | − | 25.0581i | −1.22217 | − | 0.974645i | −0.222167 | − | 0.975009i | \(-0.571313\pi\) |
−1.00000 | 0.000363494i | \(0.999884\pi\) | ||||||||
\(662\) | 33.6748 | + | 26.8548i | 1.30881 | + | 1.04374i | ||||
\(663\) | −43.4936 | − | 4.49865i | −1.68915 | − | 0.174713i | ||||
\(664\) | 1.68841 | − | 1.81967i | 0.0655231 | − | 0.0706171i | ||||
\(665\) | 25.7636 | + | 9.85514i | 0.999068 | + | 0.382166i | ||||
\(666\) | −11.6253 | − | 7.61873i | −0.450472 | − | 0.295220i | ||||
\(667\) | −11.2710 | − | 19.5220i | −0.436416 | − | 0.755895i | ||||
\(668\) | 8.09979 | + | 14.0292i | 0.313390 | + | 0.542808i | ||||
\(669\) | 4.09180 | − | 22.7619i | 0.158198 | − | 0.880025i | ||||
\(670\) | 16.0174 | + | 23.4932i | 0.618805 | + | 0.907621i | ||||
\(671\) | −20.4424 | − | 3.08119i | −0.789170 | − | 0.118948i | ||||
\(672\) | −0.707987 | + | 36.0866i | −0.0273112 | + | 1.39207i | ||||
\(673\) | 6.93239 | − | 1.04489i | 0.267224 | − | 0.0402775i | −0.0140635 | − | 0.999901i | \(-0.504477\pi\) |
0.281287 | + | 0.959624i | \(0.409239\pi\) | |||||||
\(674\) | 17.1786 | + | 18.5141i | 0.661693 | + | 0.713136i | ||||
\(675\) | 0.0256562 | − | 2.56588i | 0.000987506 | − | 0.0987606i | ||||
\(676\) | 2.54766 | − | 1.73697i | 0.0979870 | − | 0.0668064i | ||||
\(677\) | 4.21965 | − | 5.29127i | 0.162174 | − | 0.203360i | −0.694104 | − | 0.719874i | \(-0.744199\pi\) |
0.856278 | + | 0.516515i | \(0.172771\pi\) | |||||||
\(678\) | 4.55949 | + | 2.35674i | 0.175106 | + | 0.0905099i | ||||
\(679\) | 18.9289 | − | 4.49300i | 0.726425 | − | 0.172426i | ||||
\(680\) | −2.82448 | + | 0.211665i | −0.108314 | + | 0.00811700i | ||||
\(681\) | −5.77020 | − | 2.98254i | −0.221114 | − | 0.114291i | ||||
\(682\) | −7.87601 | − | 25.5334i | −0.301588 | − | 0.977724i | ||||
\(683\) | 24.3651 | + | 1.82591i | 0.932303 | + | 0.0698665i | 0.532214 | − | 0.846610i | \(-0.321360\pi\) |
0.400089 | + | 0.916476i | \(0.368979\pi\) | |||||||
\(684\) | −27.7192 | − | 3.66150i | −1.05987 | − | 0.140001i | ||||
\(685\) | 17.1134i | 0.653868i | ||||||||
\(686\) | 35.8458 | + | 7.20850i | 1.36860 | + | 0.275222i | ||||
\(687\) | 27.7229 | + | 11.7951i | 1.05769 | + | 0.450013i | ||||
\(688\) | −19.7632 | + | 2.97882i | −0.753465 | + | 0.113567i | ||||
\(689\) | −4.07837 | + | 1.96404i | −0.155374 | + | 0.0748239i | ||||
\(690\) | 49.2253 | − | 22.0141i | 1.87398 | − | 0.838064i | ||||
\(691\) | 16.5585 | + | 34.3840i | 0.629914 | + | 1.30803i | 0.934642 | + | 0.355591i | \(0.115720\pi\) |
−0.304727 | + | 0.952440i | \(0.598565\pi\) | |||||||
\(692\) | 6.95198 | + | 3.34790i | 0.264274 | + | 0.127268i | ||||
\(693\) | 0.566556 | − | 11.8231i | 0.0215217 | − | 0.449123i | ||||
\(694\) | −11.5247 | + | 5.55000i | −0.437471 | + | 0.210675i | ||||
\(695\) | 21.2182 | + | 16.9210i | 0.804854 | + | 0.641849i | ||||
\(696\) | −0.798858 | + | 0.700274i | −0.0302806 | + | 0.0265438i | ||||
\(697\) | −28.0156 | − | 35.1305i | −1.06117 | − | 1.33066i | ||||
\(698\) | −36.4634 | − | 11.2475i | −1.38016 | − | 0.425723i | ||||
\(699\) | −20.4728 | − | 5.28573i | −0.774351 | − | 0.199925i | ||||
\(700\) | 0.925728 | + | 2.30002i | 0.0349892 | + | 0.0869325i | ||||
\(701\) | 11.9879 | + | 9.56001i | 0.452776 | + | 0.361077i | 0.823167 | − | 0.567799i | \(-0.192205\pi\) |
−0.370391 | + | 0.928876i | \(0.620776\pi\) | |||||||
\(702\) | −16.6674 | − | 35.5142i | −0.629070 | − | 1.34040i | ||||
\(703\) | 3.39737 | − | 11.0140i | 0.128134 | − | 0.415401i | ||||
\(704\) | −9.24841 | + | 5.33957i | −0.348563 | + | 0.201243i | ||||
\(705\) | −14.7839 | + | 34.7476i | −0.556795 | + | 1.30867i | ||||
\(706\) | −3.63254 | − | 3.91495i | −0.136712 | − | 0.147341i | ||||
\(707\) | −7.46650 | + | 1.19153i | −0.280807 | + | 0.0448121i | ||||
\(708\) | 3.92703 | − | 37.9671i | 0.147587 | − | 1.42689i | ||||
\(709\) | −1.64221 | + | 7.19498i | −0.0616744 | + | 0.270213i | −0.996358 | − | 0.0852672i | \(-0.972826\pi\) |
0.934684 | + | 0.355481i | \(0.115683\pi\) | |||||||
\(710\) | 16.2014 | + | 41.2804i | 0.608027 | + | 1.54923i | ||||
\(711\) | −8.86391 | + | 19.3002i | −0.332422 | + | 0.723815i | ||||
\(712\) | −0.392804 | − | 1.27344i | −0.0147209 | − | 0.0477241i | ||||
\(713\) | −49.4237 | − | 45.8585i | −1.85093 | − | 1.71741i | ||||
\(714\) | −7.74107 | − | 59.2187i | −0.289702 | − | 2.21620i | ||||
\(715\) | −8.87452 | + | 8.23435i | −0.331888 | + | 0.307947i | ||||
\(716\) | −0.155132 | − | 0.0895656i | −0.00579756 | − | 0.00334722i | ||||
\(717\) | −4.68159 | + | 3.52167i | −0.174837 | + | 0.131519i | ||||
\(718\) | 49.7455 | − | 46.1571i | 1.85649 | − | 1.72257i | ||||
\(719\) | −2.49098 | − | 33.2398i | −0.0928978 | − | 1.23963i | −0.827629 | − | 0.561276i | \(-0.810311\pi\) |
0.734731 | − | 0.678359i | \(-0.237308\pi\) | |||||||
\(720\) | −15.4472 | − | 21.7908i | −0.575683 | − | 0.812093i | ||||
\(721\) | −22.2748 | + | 18.0810i | −0.829558 | + | 0.673371i | ||||
\(722\) | −1.50712 | − | 9.99906i | −0.0560891 | − | 0.372127i | ||||
\(723\) | 6.79234 | + | 5.73814i | 0.252610 | + | 0.213404i | ||||
\(724\) | −29.1558 | + | 23.2510i | −1.08357 | + | 0.864117i | ||||
\(725\) | −0.650172 | + | 1.35010i | −0.0241468 | + | 0.0501413i | ||||
\(726\) | −26.4028 | + | 14.2643i | −0.979900 | + | 0.529398i | ||||
\(727\) | 28.5325 | + | 2.13821i | 1.05821 | + | 0.0793020i | 0.592449 | − | 0.805608i | \(-0.298161\pi\) |
0.465762 | + | 0.884910i | \(0.345780\pi\) | |||||||
\(728\) | −1.51115 | − | 1.37801i | −0.0560069 | − | 0.0510725i | ||||
\(729\) | −25.9544 | + | 7.44089i | −0.961276 | + | 0.275589i | ||||
\(730\) | 12.9287 | + | 8.81467i | 0.478514 | + | 0.326246i | ||||
\(731\) | 30.0587 | − | 9.27188i | 1.11176 | − | 0.342933i | ||||
\(732\) | −24.5927 | − | 38.3569i | −0.908974 | − | 1.41771i | ||||
\(733\) | −5.25718 | − | 34.8791i | −0.194178 | − | 1.28829i | −0.847332 | − | 0.531063i | \(-0.821793\pi\) |
0.653154 | − | 0.757225i | \(-0.273446\pi\) | |||||||
\(734\) | 27.0815 | + | 46.9065i | 0.999596 | + | 1.73135i | ||||
\(735\) | −23.3096 | + | 10.9120i | −0.859786 | + | 0.402496i | ||||
\(736\) | −29.2553 | + | 50.6717i | −1.07836 | + | 1.86778i | ||||
\(737\) | 9.41853 | + | 3.69650i | 0.346936 | + | 0.136162i | ||||
\(738\) | 14.0406 | − | 37.7906i | 0.516843 | − | 1.39109i | ||||
\(739\) | 2.90642 | + | 2.69676i | 0.106914 | + | 0.0992020i | 0.731819 | − | 0.681499i | \(-0.238672\pi\) |
−0.624905 | + | 0.780701i | \(0.714862\pi\) | |||||||
\(740\) | −8.51722 | + | 4.10168i | −0.313099 | + | 0.150781i | ||||
\(741\) | 24.4636 | − | 21.4447i | 0.898695 | − | 0.787790i | ||||
\(742\) | −3.89652 | − | 4.80032i | −0.143046 | − | 0.176225i | ||||
\(743\) | 5.97782 | − | 8.76785i | 0.219305 | − | 0.321661i | −0.700782 | − | 0.713375i | \(-0.747165\pi\) |
0.920087 | + | 0.391714i | \(0.128118\pi\) | |||||||
\(744\) | −1.66582 | + | 2.70568i | −0.0610719 | + | 0.0991952i | ||||
\(745\) | 28.8258 | − | 2.16020i | 1.05610 | − | 0.0791436i | ||||
\(746\) | −6.80806 | − | 45.1685i | −0.249261 | − | 1.65374i | ||||
\(747\) | −36.7844 | − | 2.08173i | −1.34587 | − | 0.0761665i | ||||
\(748\) | 14.6053 | − | 11.6473i | 0.534023 | − | 0.425869i | ||||
\(749\) | −4.33208 | − | 6.23738i | −0.158291 | − | 0.227909i | ||||
\(750\) | −33.9585 | − | 20.9074i | −1.23999 | − | 0.763429i | ||||
\(751\) | −33.8833 | + | 23.1012i | −1.23642 | + | 0.842976i | −0.991944 | − | 0.126680i | \(-0.959568\pi\) |
−0.244475 | + | 0.969656i | \(0.578615\pi\) | |||||||
\(752\) | −9.58557 | − | 41.9971i | −0.349550 | − | 1.53148i | ||||
\(753\) | 10.0833 | − | 1.22948i | 0.367457 | − | 0.0448049i | ||||
\(754\) | 22.9100i | 0.834334i | ||||||||
\(755\) | 4.85375 | + | 21.2657i | 0.176646 | + | 0.773936i | ||||
\(756\) | 20.4183 | − | 16.2380i | 0.742606 | − | 0.590572i | ||||
\(757\) | 3.92007 | − | 17.1750i | 0.142478 | − | 0.624235i | −0.852378 | − | 0.522927i | \(-0.824840\pi\) |
0.994855 | − | 0.101308i | \(-0.0323028\pi\) | |||||||
\(758\) | −17.3600 | − | 3.96230i | −0.630543 | − | 0.143917i | ||||
\(759\) | 10.0599 | − | 16.3397i | 0.365152 | − | 0.593093i | ||||
\(760\) | 1.31390 | − | 1.64757i | 0.0476601 | − | 0.0597638i | ||||
\(761\) | −6.40804 | − | 5.94579i | −0.232291 | − | 0.215535i | 0.555435 | − | 0.831560i | \(-0.312552\pi\) |
−0.787727 | + | 0.616025i | \(0.788742\pi\) | |||||||
\(762\) | 19.2515 | + | 1.99123i | 0.697407 | + | 0.0721345i | ||||
\(763\) | −0.847610 | + | 1.08194i | −0.0306855 | + | 0.0391687i | ||||
\(764\) | 19.0798 | − | 4.35484i | 0.690283 | − | 0.157553i | ||||
\(765\) | 29.1520 | + | 30.2894i | 1.05399 | + | 1.09512i | ||||
\(766\) | 13.1512 | + | 7.59287i | 0.475173 | + | 0.274341i | ||||
\(767\) | 30.2075 | + | 32.5559i | 1.09073 | + | 1.17553i | ||||
\(768\) | 28.7171 | + | 9.75505i | 1.03624 | + | 0.352005i | ||||
\(769\) | −5.48326 | + | 36.3790i | −0.197731 | + | 1.31186i | 0.641095 | + | 0.767462i | \(0.278481\pi\) |
−0.838826 | + | 0.544400i | \(0.816758\pi\) | |||||||
\(770\) | −13.7422 | − | 9.19615i | −0.495233 | − | 0.331406i | ||||
\(771\) | −30.1196 | + | 8.36610i | −1.08473 | + | 0.301298i | ||||
\(772\) | −1.00568 | − | 4.40618i | −0.0361953 | − | 0.158582i | ||||
\(773\) | −31.9143 | + | 4.81031i | −1.14788 | + | 0.173015i | −0.695307 | − | 0.718713i | \(-0.744732\pi\) |
−0.452572 | + | 0.891728i | \(0.649493\pi\) | |||||||
\(774\) | 21.0359 | + | 18.8152i | 0.756120 | + | 0.676298i | ||||
\(775\) | −0.667991 | + | 4.43183i | −0.0239949 | + | 0.159196i | ||||
\(776\) | 0.111070 | − | 1.48212i | 0.00398717 | − | 0.0532051i | ||||
\(777\) | 5.19346 | + | 9.41724i | 0.186314 | + | 0.337841i | ||||
\(778\) | −0.195492 | − | 2.60866i | −0.00700872 | − | 0.0935249i | ||||
\(779\) | 33.3374 | + | 2.49830i | 1.19444 | + | 0.0895107i | ||||
\(780\) | −26.5405 | − | 2.74515i | −0.950302 | − | 0.0982921i | ||||
\(781\) | 13.0381 | + | 8.88924i | 0.466541 | + | 0.318082i | ||||
\(782\) | 35.3705 | − | 90.1226i | 1.26485 | − | 3.22278i | ||||
\(783\) | 15.5671 | + | 2.50579i | 0.556321 | + | 0.0895496i | ||||
\(784\) | 14.2380 | − | 25.6766i | 0.508498 | − | 0.917022i | ||||
\(785\) | −16.1702 | − | 9.33587i | −0.577139 | − | 0.333212i | ||||
\(786\) | −13.8180 | − | 49.7473i | −0.492871 | − | 1.77443i | ||||
\(787\) | −0.384426 | − | 0.798269i | −0.0137033 | − | 0.0284552i | 0.894005 | − | 0.448057i | \(-0.147884\pi\) |
−0.907708 | + | 0.419602i | \(0.862170\pi\) | |||||||
\(788\) | −22.8856 | − | 5.22350i | −0.815267 | − | 0.186079i | ||||
\(789\) | 19.4831 | − | 37.6931i | 0.693615 | − | 1.34191i | ||||
\(790\) | 16.7132 | + | 24.5137i | 0.594627 | + | 0.872158i | ||||
\(791\) | −2.26536 | − | 3.26169i | −0.0805468 | − | 0.115972i | ||||
\(792\) | −0.847664 | − | 0.314939i | −0.0301204 | − | 0.0111909i | ||||
\(793\) | 52.4226 | + | 7.90144i | 1.86158 | + | 0.280588i | ||||
\(794\) | −3.01933 | − | 40.2902i | −0.107152 | − | 1.42984i | ||||
\(795\) | 4.21388 | + | 1.08795i | 0.149451 | + | 0.0385857i | ||||
\(796\) | −12.5959 | + | 40.8348i | −0.446449 | + | 1.44735i | ||||
\(797\) | 14.9486 | − | 38.0884i | 0.529506 | − | 1.34916i | −0.376705 | − | 0.926333i | \(-0.622943\pi\) |
0.906211 | − | 0.422826i | \(-0.138962\pi\) | |||||||
\(798\) | 36.2151 | + | 25.7459i | 1.28200 | + | 0.911395i | ||||
\(799\) | 24.7695 | + | 63.1116i | 0.876281 | + | 2.23273i | ||||
\(800\) | 3.87864 | − | 0.290664i | 0.137131 | − | 0.0102765i | ||||
\(801\) | −10.8418 | + | 16.5433i | −0.383075 | + | 0.584530i | ||||
\(802\) | 23.2863 | − | 40.3330i | 0.822268 | − | 1.42421i | ||||
\(803\) | 5.56810 | 0.196494 | ||||||||
\(804\) | 7.55712 | + | 20.9803i | 0.266519 | + | 0.739919i | ||||
\(805\) | −41.6310 | − | 2.75792i | −1.46730 | − | 0.0972040i | ||||
\(806\) | 20.1973 | + | 65.4780i | 0.711419 | + | 2.30637i | ||||
\(807\) | 12.1690 | + | 8.81059i | 0.428369 | + | 0.310147i | ||||
\(808\) | −0.0860914 | + | 0.571179i | −0.00302869 | + | 0.0200940i | ||||
\(809\) | 18.8361 | − | 7.39264i | 0.662243 | − | 0.259911i | −0.0103248 | − | 0.999947i | \(-0.503287\pi\) |
0.672568 | + | 0.740035i | \(0.265191\pi\) | |||||||
\(810\) | −9.79359 | + | 36.4241i | −0.344112 | + | 1.27981i | ||||
\(811\) | −22.0746 | − | 5.03839i | −0.775145 | − | 0.176922i | −0.183391 | − | 0.983040i | \(-0.558707\pi\) |
−0.591754 | + | 0.806118i | \(0.701564\pi\) | |||||||
\(812\) | −14.8230 | + | 3.51841i | −0.520184 | + | 0.123472i | ||||
\(813\) | −28.9047 | − | 24.4185i | −1.01373 | − | 0.856395i | ||||
\(814\) | −3.45465 | + | 5.98363i | −0.121086 | + | 0.209726i | ||||
\(815\) | −2.92187 | −0.102349 | ||||||||
\(816\) | −47.1999 | − | 8.48491i | −1.65233 | − | 0.297031i | ||||
\(817\) | −10.1545 | + | 21.0860i | −0.355260 | + | 0.737705i | ||||
\(818\) | 17.8962 | − | 22.4411i | 0.625725 | − | 0.784634i | ||||
\(819\) | −1.45288 | + | 30.3193i | −0.0507678 | + | 1.05944i | ||||
\(820\) | −17.0956 | − | 21.4372i | −0.597004 | − | 0.748619i | ||||
\(821\) | −43.3380 | + | 9.89162i | −1.51251 | + | 0.345220i | −0.896687 | − | 0.442666i | \(-0.854033\pi\) |
−0.615821 | + | 0.787886i | \(0.711176\pi\) | |||||||
\(822\) | −6.89140 | + | 26.6919i | −0.240365 | + | 0.930987i | ||||
\(823\) | 10.7861 | + | 5.19430i | 0.375979 | + | 0.181062i | 0.612323 | − | 0.790607i | \(-0.290235\pi\) |
−0.236344 | + | 0.971669i | \(0.575949\pi\) | |||||||
\(824\) | 0.800746 | + | 2.04027i | 0.0278953 | + | 0.0710761i | ||||
\(825\) | −1.27416 | + | 0.0593344i | −0.0443607 | + | 0.00206576i | ||||
\(826\) | −33.7358 | + | 50.4127i | −1.17382 | + | 1.75408i | ||||
\(827\) | 20.0292 | − | 41.5910i | 0.696482 | − | 1.44626i | −0.189186 | − | 0.981941i | \(-0.560585\pi\) |
0.885668 | − | 0.464319i | \(-0.153701\pi\) | |||||||
\(828\) | 41.6962 | − | 7.06592i | 1.44904 | − | 0.245558i | ||||
\(829\) | −30.6817 | + | 33.0670i | −1.06562 | + | 1.14846i | −0.0771536 | + | 0.997019i | \(0.524583\pi\) |
−0.988466 | + | 0.151445i | \(0.951607\pi\) | |||||||
\(830\) | −28.9932 | + | 42.5252i | −1.00637 | + | 1.47607i | ||||
\(831\) | 4.92126 | − | 19.0611i | 0.170717 | − | 0.661222i | ||||
\(832\) | 23.7167 | − | 13.6928i | 0.822229 | − | 0.474714i | ||||
\(833\) | −16.1354 | + | 43.3004i | −0.559060 | + | 1.50027i | ||||
\(834\) | 26.2804 | + | 34.9362i | 0.910015 | + | 1.20974i | ||||
\(835\) | 11.2987 | + | 14.1681i | 0.391007 | + | 0.490307i | ||||
\(836\) | −1.03865 | + | 13.8599i | −0.0359226 | + | 0.479353i | ||||
\(837\) | 46.7005 | − | 6.56213i | 1.61421 | − | 0.226820i | ||||
\(838\) | −13.6084 | + | 19.9599i | −0.470096 | + | 0.689504i | ||||
\(839\) | −33.8422 | + | 23.0732i | −1.16836 | + | 0.796575i | −0.982548 | − | 0.186010i | \(-0.940444\pi\) |
−0.185813 | + | 0.982585i | \(0.559492\pi\) | |||||||
\(840\) | 0.254858 | + | 1.94965i | 0.00879344 | + | 0.0672692i | ||||
\(841\) | 16.3530 | + | 11.1493i | 0.563898 | + | 0.384459i | ||||
\(842\) | 43.1819 | − | 16.9477i | 1.48815 | − | 0.584055i | ||||
\(843\) | −20.0767 | − | 22.9031i | −0.691479 | − | 0.788825i | ||||
\(844\) | 6.27226 | − | 15.9815i | 0.215900 | − | 0.550105i | ||||
\(845\) | 2.52852 | − | 2.34612i | 0.0869837 | − | 0.0807091i | ||||
\(846\) | −37.0512 | + | 48.2429i | −1.27385 | + | 1.65862i | ||||
\(847\) | 23.2185 | − | 0.200835i | 0.797796 | − | 0.00690076i | ||||
\(848\) | −4.62145 | + | 1.81379i | −0.158701 | + | 0.0622857i | ||||
\(849\) | 2.65478 | − | 7.81517i | 0.0911118 | − | 0.268216i | ||||
\(850\) | −6.27446 | + | 1.43211i | −0.215212 | + | 0.0491208i | ||||
\(851\) | 17.4337i | 0.597620i | ||||||||
\(852\) | 4.20953 | + | 34.5235i | 0.144216 | + | 1.18276i | ||||
\(853\) | 3.68829 | − | 11.9571i | 0.126285 | − | 0.409405i | −0.870247 | − | 0.492615i | \(-0.836041\pi\) |
0.996532 | + | 0.0832102i | \(0.0265173\pi\) | |||||||
\(854\) | 6.03556 | + | 72.1581i | 0.206533 | + | 2.46920i | ||||
\(855\) | −31.2723 | + | 0.571330i | −1.06949 | + | 0.0195391i | ||||
\(856\) | −0.554394 | + | 0.171008i | −0.0189488 | + | 0.00584493i | ||||
\(857\) | −8.69815 | − | 1.31104i | −0.297123 | − | 0.0447841i | −0.00121107 | − | 0.999999i | \(-0.500385\pi\) |
−0.295912 | + | 0.955215i | \(0.595624\pi\) | |||||||
\(858\) | −17.1576 | + | 9.26950i | −0.585750 | + | 0.316456i | ||||
\(859\) | 19.7812 | − | 21.3190i | 0.674925 | − | 0.727396i | −0.299003 | − | 0.954252i | \(-0.596654\pi\) |
0.973928 | + | 0.226856i | \(0.0728446\pi\) | |||||||
\(860\) | 18.3423 | − | 5.65785i | 0.625468 | − | 0.192931i | ||||
\(861\) | −23.2776 | + | 20.7637i | −0.793297 | + | 0.707627i | ||||
\(862\) | 50.4102 | + | 15.5495i | 1.71698 | + | 0.529618i | ||||
\(863\) | −47.5644 | + | 27.4613i | −1.61911 | + | 0.934795i | −0.631961 | + | 0.775000i | \(0.717750\pi\) |
−0.987150 | + | 0.159795i | \(0.948917\pi\) | |||||||
\(864\) | −14.5704 | − | 38.2448i | −0.495694 | − | 1.30111i | ||||
\(865\) | 8.24816 | + | 2.54422i | 0.280446 | + | 0.0865061i | ||||
\(866\) | 21.6013 | + | 10.4027i | 0.734043 | + | 0.353496i | ||||
\(867\) | 46.0144 | + | 1.30100i | 1.56273 | + | 0.0441842i | ||||
\(868\) | −39.2630 | + | 23.1236i | −1.33267 | + | 0.784866i | ||||
\(869\) | 9.82766 | + | 3.85707i | 0.333380 | + | 0.130842i | ||||
\(870\) | 14.2145 | − | 16.8259i | 0.481915 | − | 0.570452i | ||||
\(871\) | −24.1529 | − | 9.47933i | −0.818391 | − | 0.321195i | ||||
\(872\) | 0.0591489 | + | 0.0867555i | 0.00200304 | + | 0.00293791i | ||||
\(873\) | −17.9966 | + | 12.7575i | −0.609091 | + | 0.431777i | ||||
\(874\) | 31.2532 | + | 64.8979i | 1.05715 | + | 2.19520i | ||||
\(875\) | 15.6581 | + | 26.5869i | 0.529342 | + | 0.898802i | ||||
\(876\) | 8.08952 | + | 9.22836i | 0.273320 | + | 0.311797i | ||||
\(877\) | 2.22830 | − | 29.7347i | 0.0752445 | − | 1.00407i | −0.823991 | − | 0.566603i | \(-0.808257\pi\) |
0.899235 | − | 0.437465i | \(-0.144124\pi\) | |||||||
\(878\) | 9.58676 | − | 42.0023i | 0.323537 | − | 1.41751i | ||||
\(879\) | −20.2916 | − | 10.4884i | −0.684419 | − | 0.353766i | ||||
\(880\) | −10.3809 | + | 8.27848i | −0.349939 | + | 0.279067i | ||||
\(881\) | −44.2706 | −1.49151 | −0.745757 | − | 0.666219i | \(-0.767912\pi\) | ||||
−0.745757 | + | 0.666219i | \(0.767912\pi\) | |||||||
\(882\) | −40.7503 | + | 7.63302i | −1.37213 | + | 0.257017i | ||||
\(883\) | −32.6168 | −1.09764 | −0.548821 | − | 0.835940i | \(-0.684923\pi\) | ||||
−0.548821 | + | 0.835940i | \(0.684923\pi\) | |||||||
\(884\) | −37.4539 | + | 29.8685i | −1.25971 | + | 1.00459i | ||||
\(885\) | −1.98620 | − | 42.6523i | −0.0667655 | − | 1.43374i | ||||
\(886\) | 1.16980 | − | 5.12523i | 0.0393002 | − | 0.172185i | ||||
\(887\) | −2.54645 | + | 33.9800i | −0.0855013 | + | 1.14094i | 0.775162 | + | 0.631762i | \(0.217668\pi\) |
−0.860664 | + | 0.509174i | \(0.829951\pi\) | |||||||
\(888\) | 0.805842 | − | 0.160111i | 0.0270423 | − | 0.00537297i | ||||
\(889\) | −12.4453 | − | 8.32831i | −0.417403 | − | 0.279323i | ||||
\(890\) | 11.9886 | + | 24.8946i | 0.401860 | + | 0.834470i | ||||
\(891\) | 4.42189 | + | 12.6722i | 0.148139 | + | 0.424534i | ||||
\(892\) | −14.2731 | − | 20.9348i | −0.477898 | − | 0.700948i | ||||
\(893\) | −46.9555 | − | 18.4287i | −1.57131 | − | 0.616693i | ||||
\(894\) | 45.8298 | + | 8.23862i | 1.53278 | + | 0.275541i | ||||
\(895\) | −0.186534 | − | 0.0732090i | −0.00623513 | − | 0.00244711i | ||||
\(896\) | −2.93308 | − | 3.10678i | −0.0979874 | − | 0.103790i | ||||
\(897\) | −25.7978 | + | 41.9016i | −0.861362 | + | 1.39905i | ||||
\(898\) | 37.3824 | + | 18.0024i | 1.24747 | + | 0.600748i | ||||
\(899\) | −26.3165 | − | 8.11758i | −0.877706 | − | 0.270736i | ||||
\(900\) | −1.94949 | − | 2.02555i | −0.0649829 | − | 0.0675183i | ||||
\(901\) | 6.76690 | − | 3.90687i | 0.225438 | − | 0.130157i | ||||
\(902\) | −19.1498 | − | 5.90694i | −0.637619 | − | 0.196680i | ||||
\(903\) | −7.57759 | − | 20.4798i | −0.252166 | − | 0.681525i | ||||
\(904\) | −0.289907 | + | 0.0894245i | −0.00964217 | + | 0.00297421i | ||||
\(905\) | −28.3744 | + | 30.5803i | −0.943197 | + | 1.01652i | ||||
\(906\) | −0.993051 | + | 35.1228i | −0.0329919 | + | 1.16688i | ||||
\(907\) | −49.2059 | − | 7.41660i | −1.63386 | − | 0.246264i | −0.732951 | − | 0.680281i | \(-0.761858\pi\) |
−0.900905 | + | 0.434017i | \(0.857096\pi\) | |||||||
\(908\) | −6.80018 | + | 2.09758i | −0.225672 | + | 0.0696106i | ||||
\(909\) | 7.34519 | − | 4.42158i | 0.243625 | − | 0.146655i | ||||
\(910\) | 35.2405 | + | 23.5827i | 1.16821 | + | 0.781758i | ||||
\(911\) | −2.51710 | + | 8.16024i | −0.0833953 | + | 0.270361i | −0.987660 | − | 0.156610i | \(-0.949943\pi\) |
0.904265 | + | 0.426971i | \(0.140419\pi\) | |||||||
\(912\) | 28.5133 | − | 21.4488i | 0.944170 | − | 0.710241i | ||||
\(913\) | 18.3146i | 0.606124i | ||||||||
\(914\) | −62.3241 | + | 14.2251i | −2.06150 | + | 0.470524i | ||||
\(915\) | −33.5986 | − | 38.3285i | −1.11073 | − | 1.26710i | ||||
\(916\) | 30.7260 | − | 12.0591i | 1.01522 | − | 0.398443i | ||||
\(917\) | −8.55211 | + | 39.0220i | −0.282415 | + | 1.28862i | ||||
\(918\) | 33.2714 | + | 58.9820i | 1.09812 | + | 1.94669i | ||||
\(919\) | −0.415072 | + | 0.385131i | −0.0136920 | + | 0.0127043i | −0.686989 | − | 0.726668i | \(-0.741068\pi\) |
0.673297 | + | 0.739372i | \(0.264878\pi\) | |||||||
\(920\) | −1.16450 | + | 2.96709i | −0.0383923 | + | 0.0978221i | ||||
\(921\) | 6.73473 | − | 19.8258i | 0.221917 | − | 0.653282i | ||||
\(922\) | 73.5786 | − | 28.8775i | 2.42318 | − | 0.951030i | ||||
\(923\) | −33.4351 | − | 22.7956i | −1.10053 | − | 0.750328i | ||||
\(924\) | −8.63242 | − | 9.67752i | −0.283986 | − | 0.318367i | ||||
\(925\) | 0.957538 | − | 0.652839i | 0.0314837 | − | 0.0214652i | ||||
\(926\) | −9.42568 | + | 13.8249i | −0.309747 | + | 0.454315i | ||||
\(927\) | 15.7481 | − | 28.4650i | 0.517236 | − | 0.934913i | ||||
\(928\) | −1.78606 | + | 23.8333i | −0.0586302 | + | 0.782365i | ||||
\(929\) | −0.124139 | − | 0.155665i | −0.00407287 | − | 0.00510721i | 0.779791 | − | 0.626040i | \(-0.215325\pi\) |
−0.783864 | + | 0.620933i | \(0.786754\pi\) | |||||||
\(930\) | 25.7920 | − | 60.6207i | 0.845755 | − | 1.98783i | ||||
\(931\) | −15.4505 | − | 30.7125i | −0.506368 | − | 1.00656i | ||||
\(932\) | −20.0617 | + | 11.5826i | −0.657144 | + | 0.379402i | ||||
\(933\) | 9.28366 | + | 9.11560i | 0.303933 | + | 0.298431i | ||||
\(934\) | −0.619348 | + | 0.908416i | −0.0202657 | + | 0.0297243i | ||||
\(935\) | 14.2138 | − | 15.3189i | 0.464842 | − | 0.500981i | ||||
\(936\) | 2.17375 | + | 0.807632i | 0.0710514 | + | 0.0263983i | ||||
\(937\) | 12.3877 | − | 25.7234i | 0.404689 | − | 0.840346i | −0.594650 | − | 0.803985i | \(-0.702709\pi\) |
0.999339 | − | 0.0363606i | \(-0.0115765\pi\) | |||||||
\(938\) | 4.97861 | − | 35.0875i | 0.162557 | − | 1.14565i | ||||
\(939\) | −4.94772 | − | 7.71688i | −0.161463 | − | 0.251831i | ||||
\(940\) | 15.1147 | + | 38.5117i | 0.492989 | + | 1.25611i | ||||
\(941\) | 1.75654 | + | 0.845904i | 0.0572615 | + | 0.0275757i | 0.462295 | − | 0.886726i | \(-0.347026\pi\) |
−0.405034 | + | 0.914302i | \(0.632740\pi\) | |||||||
\(942\) | −21.4614 | − | 21.0728i | −0.699249 | − | 0.686590i | ||||
\(943\) | −49.2979 | + | 11.2519i | −1.60536 | + | 0.366413i | ||||
\(944\) | 30.3693 | + | 38.0820i | 0.988438 | + | 1.23946i | ||||
\(945\) | 19.8785 | − | 21.3661i | 0.646649 | − | 0.695039i | ||||
\(946\) | 8.74714 | − | 10.9686i | 0.284394 | − | 0.356619i | ||||
\(947\) | −9.78533 | + | 20.3194i | −0.317980 | + | 0.660293i | −0.997291 | − | 0.0735579i | \(-0.976565\pi\) |
0.679311 | + | 0.733851i | \(0.262279\pi\) | |||||||
\(948\) | 7.88539 | + | 21.8917i | 0.256106 | + | 0.711009i | ||||
\(949\) | −14.2789 | −0.463512 | ||||||||
\(950\) | 2.39415 | − | 4.14679i | 0.0776765 | − | 0.134540i | ||||
\(951\) | 49.8918 | − | 17.9710i | 1.61785 | − | 0.582751i | ||||
\(952\) | 2.77896 | + | 2.17709i | 0.0900665 | + | 0.0705599i | ||||
\(953\) | 49.1481 | + | 11.2177i | 1.59206 | + | 0.363378i | 0.924502 | − | 0.381178i | \(-0.124481\pi\) |
0.667560 | + | 0.744556i | \(0.267339\pi\) | |||||||
\(954\) | 6.13432 | + | 3.39378i | 0.198606 | + | 0.109878i | ||||
\(955\) | 20.3792 | − | 7.99825i | 0.659455 | − | 0.258817i | ||||
\(956\) | −0.956595 | + | 6.34659i | −0.0309385 | + | 0.205263i | ||||
\(957\) | 0.806391 | − | 7.79631i | 0.0260669 | − | 0.252019i | ||||
\(958\) | 9.55990 | + | 30.9924i | 0.308866 | + | 1.00132i | ||||
\(959\) | 14.3720 | − | 15.7605i | 0.464095 | − | 0.508934i | ||||
\(960\) | −25.9141 | − | 4.65845i | −0.836372 | − | 0.150351i | ||||
\(961\) | −51.3704 | −1.65711 | ||||||||
\(962\) | 8.85913 | − | 15.3445i | 0.285630 | − | 0.494726i | ||||
\(963\) | 7.20217 | + | 4.71998i | 0.232087 | + | 0.152099i | ||||
\(964\) | 9.71441 | − | 0.727994i | 0.312880 | − | 0.0234471i | ||||
\(965\) | −1.84707 | − | 4.70626i | −0.0594593 | − | 0.151500i | ||||
\(966\) | −63.8216 | − | 21.0660i | −2.05343 | − | 0.677787i | ||||
\(967\) | −22.0263 | + | 56.1220i | −0.708317 | + | 1.80476i | −0.125612 | + | 0.992079i | \(0.540089\pi\) |
−0.582706 | + | 0.812683i | \(0.698006\pi\) | |||||||
\(968\) | 0.522858 | − | 1.69506i | 0.0168053 | − | 0.0544814i | ||||
\(969\) | −39.3439 | + | 40.0693i | −1.26391 | + | 1.28721i | ||||
\(970\) | 2.30291 | + | 30.7302i | 0.0739421 | + | 0.986689i | ||||
\(971\) | 3.80351 | + | 0.573286i | 0.122060 | + | 0.0183976i | 0.209788 | − | 0.977747i | \(-0.432723\pi\) |
−0.0877280 | + | 0.996144i | \(0.527961\pi\) | |||||||
\(972\) | −14.5781 | + | 25.7393i | −0.467594 | + | 0.825588i | ||||
\(973\) | −5.33051 | − | 33.4026i | −0.170888 | − | 1.07084i | ||||
\(974\) | 44.9164 | + | 65.8803i | 1.43921 | + | 2.11094i | ||||
\(975\) | 3.26748 | − | 0.152157i | 0.104643 | − | 0.00487294i | ||||
\(976\) | 56.6866 | + | 12.9383i | 1.81449 | + | 0.414146i | ||||
\(977\) | 10.6456 | + | 22.1059i | 0.340584 | + | 0.707231i | 0.998966 | − | 0.0454532i | \(-0.0144732\pi\) |
−0.658382 | + | 0.752684i | \(0.728759\pi\) | |||||||
\(978\) | −4.55727 | − | 1.17661i | −0.145726 | − | 0.0376239i | ||||
\(979\) | 8.51496 | + | 4.91612i | 0.272139 | + | 0.157120i | ||||
\(980\) | −9.84612 | + | 26.4226i | −0.314523 | + | 0.844039i | ||||
\(981\) | 0.432080 | − | 1.49735i | 0.0137953 | − | 0.0478067i | ||||
\(982\) | 0.763715 | − | 1.94591i | 0.0243711 | − | 0.0620966i | ||||
\(983\) | 22.2399 | + | 15.1629i | 0.709342 | + | 0.483621i | 0.863451 | − | 0.504432i | \(-0.168298\pi\) |
−0.154109 | + | 0.988054i | \(0.549251\pi\) | |||||||
\(984\) | 0.972852 | + | 2.17537i | 0.0310134 | + | 0.0693483i | ||||
\(985\) | −26.1860 | − | 1.96237i | −0.834356 | − | 0.0625264i | ||||
\(986\) | −2.95531 | − | 39.4359i | −0.0941163 | − | 1.25590i | ||||
\(987\) | 42.7966 | − | 19.5851i | 1.36223 | − | 0.623400i | ||||
\(988\) | 2.66353 | − | 35.5423i | 0.0847381 | − | 1.13075i | ||||
\(989\) | 5.27596 | − | 35.0037i | 0.167766 | − | 1.11305i | ||||
\(990\) | 18.3523 | + | 3.83751i | 0.583276 | + | 0.121964i | ||||
\(991\) | 14.0228 | − | 2.11360i | 0.445449 | − | 0.0671406i | 0.0775122 | − | 0.996991i | \(-0.475302\pi\) |
0.367937 | + | 0.929851i | \(0.380064\pi\) | |||||||
\(992\) | 15.9066 | + | 69.6912i | 0.505034 | + | 2.21270i | ||||
\(993\) | 26.9630 | + | 26.4749i | 0.855646 | + | 0.840157i | ||||
\(994\) | 19.7471 | − | 51.6232i | 0.626339 | − | 1.63739i | ||||
\(995\) | −7.12478 | + | 47.2698i | −0.225871 | + | 1.49855i | ||||
\(996\) | −30.3539 | + | 26.6080i | −0.961800 | + | 0.843108i | ||||
\(997\) | 2.55477 | + | 2.75339i | 0.0809105 | + | 0.0872008i | 0.772209 | − | 0.635368i | \(-0.219152\pi\) |
−0.691299 | + | 0.722569i | \(0.742961\pi\) | |||||||
\(998\) | 51.8533 | + | 29.9375i | 1.64139 | + | 0.947656i | ||||
\(999\) | −9.45740 | − | 7.69797i | −0.299219 | − | 0.243553i |
(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 | 441.2.bn.a.101.45 | yes | 648 | |
9.5 | odd | 6 | 441.2.bd.a.248.10 | ✓ | 648 | ||
49.33 | odd | 42 | 441.2.bd.a.425.10 | yes | 648 | ||
441.131 | even | 42 | inner | 441.2.bn.a.131.45 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.bd.a.248.10 | ✓ | 648 | 9.5 | odd | 6 | ||
441.2.bd.a.425.10 | yes | 648 | 49.33 | odd | 42 | ||
441.2.bn.a.101.45 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.bn.a.131.45 | yes | 648 | 441.131 | even | 42 | inner |