Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(10,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 11, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.10");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.bf (of order \(66\), degree \(20\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 19.7 | ||
Character | \(\chi\) | \(=\) | 483.19 |
Dual form | 483.2.bf.a.178.7 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{15}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.83854 | − | 0.175559i | −1.30004 | − | 0.124139i | −0.578029 | − | 0.816016i | \(-0.696178\pi\) |
−0.722015 | + | 0.691877i | \(0.756784\pi\) | |||||||
\(3\) | −0.690079 | + | 0.723734i | −0.398417 | + | 0.417848i | ||||
\(4\) | 1.38555 | + | 0.267043i | 0.692777 | + | 0.133522i | ||||
\(5\) | −1.78049 | + | 0.917909i | −0.796262 | + | 0.410501i | −0.807818 | − | 0.589432i | \(-0.799352\pi\) |
0.0115565 | + | 0.999933i | \(0.496321\pi\) | |||||||
\(6\) | 1.39580 | − | 1.20946i | 0.569832 | − | 0.493762i | ||||
\(7\) | −2.33814 | − | 1.23818i | −0.883735 | − | 0.467987i | ||||
\(8\) | 1.04367 | + | 0.306449i | 0.368993 | + | 0.108346i | ||||
\(9\) | −0.0475819 | − | 0.998867i | −0.0158606 | − | 0.332956i | ||||
\(10\) | 3.43466 | − | 1.37503i | 1.08613 | − | 0.434823i | ||||
\(11\) | 0.533514 | + | 5.58721i | 0.160860 | + | 1.68461i | 0.610986 | + | 0.791642i | \(0.290773\pi\) |
−0.450125 | + | 0.892965i | \(0.648621\pi\) | |||||||
\(12\) | −1.14941 | + | 0.818491i | −0.331806 | + | 0.236278i | ||||
\(13\) | −3.84719 | − | 0.553142i | −1.06702 | − | 0.153414i | −0.413636 | − | 0.910442i | \(-0.635741\pi\) |
−0.653382 | + | 0.757028i | \(0.726650\pi\) | |||||||
\(14\) | 4.08140 | + | 2.68692i | 1.09080 | + | 0.718111i | ||||
\(15\) | 0.564360 | − | 1.92203i | 0.145717 | − | 0.496267i | ||||
\(16\) | −4.48498 | − | 1.79551i | −1.12124 | − | 0.448879i | ||||
\(17\) | −0.0974896 | + | 0.281678i | −0.0236447 | + | 0.0683169i | −0.956206 | − | 0.292696i | \(-0.905448\pi\) |
0.932561 | + | 0.361013i | \(0.117569\pi\) | |||||||
\(18\) | −0.0878792 | + | 1.84481i | −0.0207133 | + | 0.434826i | ||||
\(19\) | −0.874570 | − | 2.52690i | −0.200640 | − | 0.579711i | 0.799130 | − | 0.601158i | \(-0.205294\pi\) |
−0.999770 | + | 0.0214469i | \(0.993173\pi\) | |||||||
\(20\) | −2.71209 | + | 0.796342i | −0.606442 | + | 0.178067i | ||||
\(21\) | 2.50962 | − | 0.837753i | 0.547643 | − | 0.182813i | ||||
\(22\) | − | 10.3660i | − | 2.21003i | ||||||
\(23\) | 2.41594 | − | 4.14285i | 0.503758 | − | 0.863845i | ||||
\(24\) | −0.942001 | + | 0.543865i | −0.192285 | + | 0.111016i | ||||
\(25\) | −0.572679 | + | 0.804215i | −0.114536 | + | 0.160843i | ||||
\(26\) | 6.97610 | + | 1.69238i | 1.36813 | + | 0.331904i | ||||
\(27\) | 0.755750 | + | 0.654861i | 0.145444 | + | 0.126028i | ||||
\(28\) | −2.90897 | − | 2.33995i | −0.549744 | − | 0.442208i | ||||
\(29\) | 0.420091 | + | 0.484811i | 0.0780090 | + | 0.0900272i | 0.793412 | − | 0.608685i | \(-0.208302\pi\) |
−0.715403 | + | 0.698712i | \(0.753757\pi\) | |||||||
\(30\) | −1.37503 | + | 3.43466i | −0.251045 | + | 0.627080i | ||||
\(31\) | 4.06567 | − | 0.986322i | 0.730216 | − | 0.177149i | 0.146621 | − | 0.989193i | \(-0.453160\pi\) |
0.583596 | + | 0.812044i | \(0.301645\pi\) | |||||||
\(32\) | 5.99697 | + | 3.09165i | 1.06012 | + | 0.546532i | ||||
\(33\) | −4.41182 | − | 3.46949i | −0.767999 | − | 0.603961i | ||||
\(34\) | 0.228690 | − | 0.500760i | 0.0392200 | − | 0.0858797i | ||||
\(35\) | 5.29959 | + | 0.0583671i | 0.895794 | + | 0.00986585i | ||||
\(36\) | 0.200814 | − | 1.39669i | 0.0334690 | − | 0.232782i | ||||
\(37\) | 11.4393 | − | 0.544921i | 1.88061 | − | 0.0895845i | 0.924252 | − | 0.381782i | \(-0.124690\pi\) |
0.956358 | + | 0.292198i | \(0.0943865\pi\) | |||||||
\(38\) | 1.16431 | + | 4.79935i | 0.188876 | + | 0.778558i | ||||
\(39\) | 3.05519 | − | 2.40263i | 0.489222 | − | 0.384728i | ||||
\(40\) | −2.13954 | + | 0.412362i | −0.338291 | + | 0.0652002i | ||||
\(41\) | 2.97170 | − | 4.62406i | 0.464102 | − | 0.722157i | −0.527771 | − | 0.849387i | \(-0.676972\pi\) |
0.991873 | + | 0.127229i | \(0.0406085\pi\) | |||||||
\(42\) | −4.76111 | + | 1.09966i | −0.734654 | + | 0.169681i | ||||
\(43\) | −3.58652 | − | 12.2146i | −0.546939 | − | 1.86270i | −0.504142 | − | 0.863621i | \(-0.668191\pi\) |
−0.0427978 | − | 0.999084i | \(-0.513627\pi\) | |||||||
\(44\) | −0.752816 | + | 7.88385i | −0.113491 | + | 1.18853i | ||||
\(45\) | 1.00159 | + | 1.73480i | 0.149308 | + | 0.258609i | ||||
\(46\) | −5.16912 | + | 7.19266i | −0.762145 | + | 1.06050i | ||||
\(47\) | −5.76436 | − | 3.32806i | −0.840819 | − | 0.485447i | 0.0167236 | − | 0.999860i | \(-0.494676\pi\) |
−0.857542 | + | 0.514413i | \(0.828010\pi\) | |||||||
\(48\) | 4.39446 | − | 2.00688i | 0.634286 | − | 0.289669i | ||||
\(49\) | 3.93383 | + | 5.79008i | 0.561976 | + | 0.827154i | ||||
\(50\) | 1.19408 | − | 1.37804i | 0.168869 | − | 0.194885i | ||||
\(51\) | −0.136584 | − | 0.264936i | −0.0191256 | − | 0.0370985i | ||||
\(52\) | −5.18277 | − | 1.79377i | −0.718721 | − | 0.248752i | ||||
\(53\) | −3.24847 | − | 4.13077i | −0.446212 | − | 0.567405i | 0.509965 | − | 0.860195i | \(-0.329659\pi\) |
−0.956177 | + | 0.292791i | \(0.905416\pi\) | |||||||
\(54\) | −1.27451 | − | 1.33667i | −0.173439 | − | 0.181897i | ||||
\(55\) | −6.07847 | − | 9.45828i | −0.819620 | − | 1.27535i | ||||
\(56\) | −2.06081 | − | 2.00877i | −0.275387 | − | 0.268433i | ||||
\(57\) | 2.43233 | + | 1.11081i | 0.322170 | + | 0.147130i | ||||
\(58\) | −0.687242 | − | 0.965096i | −0.0902392 | − | 0.126723i | ||||
\(59\) | −0.264548 | − | 0.660809i | −0.0344412 | − | 0.0860300i | 0.910150 | − | 0.414278i | \(-0.135966\pi\) |
−0.944591 | + | 0.328248i | \(0.893542\pi\) | |||||||
\(60\) | 1.29522 | − | 2.51237i | 0.167212 | − | 0.324346i | ||||
\(61\) | 9.28481 | − | 8.85305i | 1.18880 | − | 1.13352i | 0.200706 | − | 0.979651i | \(-0.435676\pi\) |
0.988092 | − | 0.153865i | \(-0.0491721\pi\) | |||||||
\(62\) | −7.64806 | + | 1.09963i | −0.971305 | + | 0.139653i | ||||
\(63\) | −1.12552 | + | 2.39441i | −0.141802 | + | 0.301667i | ||||
\(64\) | −2.35466 | − | 1.51325i | −0.294332 | − | 0.189156i | ||||
\(65\) | 7.35763 | − | 2.54650i | 0.912602 | − | 0.315855i | ||||
\(66\) | 7.50221 | + | 7.15334i | 0.923458 | + | 0.880515i | ||||
\(67\) | 8.35399 | + | 5.94885i | 1.02060 | + | 0.726768i | 0.962428 | − | 0.271539i | \(-0.0875324\pi\) |
0.0581751 | + | 0.998306i | \(0.481472\pi\) | |||||||
\(68\) | −0.210297 | + | 0.364245i | −0.0255023 | + | 0.0441712i | ||||
\(69\) | 1.33113 | + | 4.60739i | 0.160250 | + | 0.554665i | ||||
\(70\) | −9.73326 | − | 1.03770i | −1.16335 | − | 0.124029i | ||||
\(71\) | 0.457114 | + | 1.00094i | 0.0542494 | + | 0.118790i | 0.934816 | − | 0.355134i | \(-0.115565\pi\) |
−0.880566 | + | 0.473923i | \(0.842837\pi\) | |||||||
\(72\) | 0.256442 | − | 1.05707i | 0.0302220 | − | 0.124577i | ||||
\(73\) | 2.56947 | − | 13.3317i | 0.300733 | − | 1.56035i | −0.445880 | − | 0.895093i | \(-0.647109\pi\) |
0.746613 | − | 0.665259i | \(-0.231679\pi\) | |||||||
\(74\) | −21.1273 | − | 1.00642i | −2.45600 | − | 0.116994i | ||||
\(75\) | −0.186844 | − | 0.969439i | −0.0215749 | − | 0.111941i | ||||
\(76\) | −0.536970 | − | 3.73471i | −0.0615947 | − | 0.428400i | ||||
\(77\) | 5.67053 | − | 13.7243i | 0.646217 | − | 1.56403i | ||||
\(78\) | −6.03890 | + | 3.88096i | −0.683770 | + | 0.439433i | ||||
\(79\) | −6.90116 | + | 8.77554i | −0.776441 | + | 0.987325i | 0.223479 | + | 0.974709i | \(0.428259\pi\) |
−0.999920 | + | 0.0126166i | \(0.995984\pi\) | |||||||
\(80\) | 9.63360 | − | 0.919897i | 1.07707 | − | 0.102848i | ||||
\(81\) | −0.995472 | + | 0.0950560i | −0.110608 | + | 0.0105618i | ||||
\(82\) | −6.27540 | + | 7.97982i | −0.693002 | + | 0.881223i | ||||
\(83\) | −8.84294 | + | 5.68301i | −0.970639 | + | 0.623792i | −0.926923 | − | 0.375252i | \(-0.877556\pi\) |
−0.0437160 | + | 0.999044i | \(0.513920\pi\) | |||||||
\(84\) | 3.70092 | − | 0.490575i | 0.403804 | − | 0.0535261i | ||||
\(85\) | −0.0849747 | − | 0.591012i | −0.00921680 | − | 0.0641043i | ||||
\(86\) | 4.44958 | + | 23.0866i | 0.479811 | + | 2.48950i | ||||
\(87\) | −0.640770 | − | 0.0305237i | −0.0686978 | − | 0.00327248i | ||||
\(88\) | −1.15538 | + | 5.99469i | −0.123164 | + | 0.639036i | ||||
\(89\) | 0.297279 | − | 1.22540i | 0.0315115 | − | 0.129892i | −0.953883 | − | 0.300178i | \(-0.902954\pi\) |
0.985395 | + | 0.170286i | \(0.0544691\pi\) | |||||||
\(90\) | −1.53690 | − | 3.36534i | −0.162004 | − | 0.354738i | ||||
\(91\) | 8.31039 | + | 6.05683i | 0.871165 | + | 0.634928i | ||||
\(92\) | 4.45374 | − | 5.09498i | 0.464334 | − | 0.531189i | ||||
\(93\) | −2.09180 | + | 3.62311i | −0.216910 | + | 0.375699i | ||||
\(94\) | 10.0137 | + | 7.13076i | 1.03284 | + | 0.735481i | ||||
\(95\) | 3.87663 | + | 3.69636i | 0.397734 | + | 0.379239i | ||||
\(96\) | −6.37592 | + | 2.20673i | −0.650740 | + | 0.225223i | ||||
\(97\) | −2.10791 | − | 1.35467i | −0.214025 | − | 0.137546i | 0.429236 | − | 0.903192i | \(-0.358783\pi\) |
−0.643261 | + | 0.765647i | \(0.722419\pi\) | |||||||
\(98\) | −6.21600 | − | 11.3359i | −0.627911 | − | 1.14510i | ||||
\(99\) | 5.55549 | − | 0.798760i | 0.558348 | − | 0.0802784i | ||||
\(100\) | −1.00824 | + | 0.961353i | −0.100824 | + | 0.0961353i | ||||
\(101\) | −6.05808 | + | 11.7510i | −0.602801 | + | 1.16927i | 0.368099 | + | 0.929787i | \(0.380009\pi\) |
−0.970900 | + | 0.239485i | \(0.923022\pi\) | |||||||
\(102\) | 0.204603 | + | 0.511075i | 0.0202588 | + | 0.0506039i | ||||
\(103\) | −9.92300 | − | 13.9349i | −0.977743 | − | 1.37305i | −0.927299 | − | 0.374320i | \(-0.877876\pi\) |
−0.0504431 | − | 0.998727i | \(-0.516063\pi\) | |||||||
\(104\) | −3.84568 | − | 1.75626i | −0.377100 | − | 0.172216i | ||||
\(105\) | −3.69938 | + | 3.79521i | −0.361022 | + | 0.370375i | ||||
\(106\) | 5.24725 | + | 8.16489i | 0.509658 | + | 0.793044i | ||||
\(107\) | 7.54815 | + | 7.91628i | 0.729708 | + | 0.765295i | 0.979160 | − | 0.203092i | \(-0.0650990\pi\) |
−0.249452 | + | 0.968387i | \(0.580251\pi\) | |||||||
\(108\) | 0.872255 | + | 1.10916i | 0.0839328 | + | 0.106729i | ||||
\(109\) | −0.757924 | − | 0.262320i | −0.0725960 | − | 0.0251257i | 0.290529 | − | 0.956866i | \(-0.406169\pi\) |
−0.363125 | + | 0.931741i | \(0.618290\pi\) | |||||||
\(110\) | 9.51502 | + | 18.4566i | 0.907222 | + | 1.75976i | ||||
\(111\) | −7.49965 | + | 8.65505i | −0.711835 | + | 0.821501i | ||||
\(112\) | 8.26336 | + | 9.75137i | 0.780814 | + | 0.921418i | ||||
\(113\) | −5.73993 | + | 2.62134i | −0.539967 | + | 0.246595i | −0.666679 | − | 0.745345i | \(-0.732285\pi\) |
0.126712 | + | 0.991940i | \(0.459558\pi\) | |||||||
\(114\) | −4.27692 | − | 2.46928i | −0.400570 | − | 0.231269i | ||||
\(115\) | −0.498808 | + | 9.59394i | −0.0465140 | + | 0.894640i | ||||
\(116\) | 0.452593 | + | 0.783914i | 0.0420222 | + | 0.0727846i | ||||
\(117\) | −0.369459 | + | 3.86915i | −0.0341565 | + | 0.357703i | ||||
\(118\) | 0.370371 | + | 1.26137i | 0.0340954 | + | 0.116118i | ||||
\(119\) | 0.576712 | − | 0.537893i | 0.0528671 | − | 0.0493086i | ||||
\(120\) | 1.17801 | − | 1.83302i | 0.107537 | − | 0.167331i | ||||
\(121\) | −20.1311 | + | 3.87994i | −1.83010 | + | 0.352722i | ||||
\(122\) | −18.6247 | + | 14.6467i | −1.68620 | + | 1.32605i | ||||
\(123\) | 1.29588 | + | 5.34169i | 0.116846 | + | 0.481644i | ||||
\(124\) | 5.89660 | − | 0.280889i | 0.529530 | − | 0.0252246i | ||||
\(125\) | 1.70687 | − | 11.8715i | 0.152667 | − | 1.06182i | ||||
\(126\) | 2.48968 | − | 4.20462i | 0.221798 | − | 0.374578i | ||||
\(127\) | −0.279683 | + | 0.612420i | −0.0248178 | + | 0.0543434i | −0.921635 | − | 0.388058i | \(-0.873146\pi\) |
0.896817 | + | 0.442401i | \(0.145873\pi\) | |||||||
\(128\) | −6.54353 | − | 5.14589i | −0.578372 | − | 0.454837i | ||||
\(129\) | 11.3151 | + | 5.83333i | 0.996238 | + | 0.513596i | ||||
\(130\) | −13.9744 | + | 3.39014i | −1.22563 | + | 0.297335i | ||||
\(131\) | −1.49492 | + | 3.73412i | −0.130612 | + | 0.326252i | −0.979230 | − | 0.202754i | \(-0.935011\pi\) |
0.848618 | + | 0.529006i | \(0.177435\pi\) | |||||||
\(132\) | −5.18630 | − | 5.98531i | −0.451410 | − | 0.520955i | ||||
\(133\) | −1.08389 | + | 6.99114i | −0.0939849 | + | 0.606208i | ||||
\(134\) | −14.3148 | − | 12.4038i | −1.23661 | − | 1.07153i | ||||
\(135\) | −1.94671 | − | 0.472267i | −0.167546 | − | 0.0406463i | ||||
\(136\) | −0.188067 | + | 0.264102i | −0.0161266 | + | 0.0226466i | ||||
\(137\) | 9.41124 | − | 5.43358i | 0.804056 | − | 0.464222i | −0.0408313 | − | 0.999166i | \(-0.513001\pi\) |
0.844888 | + | 0.534944i | \(0.179667\pi\) | |||||||
\(138\) | −1.63847 | − | 8.70457i | −0.139476 | − | 0.740983i | ||||
\(139\) | 5.66692i | 0.480662i | 0.970691 | + | 0.240331i | \(0.0772559\pi\) | ||||
−0.970691 | + | 0.240331i | \(0.922744\pi\) | |||||||
\(140\) | 7.32727 | + | 1.49609i | 0.619268 | + | 0.126443i | ||||
\(141\) | 6.38649 | − | 1.87524i | 0.537840 | − | 0.157924i | ||||
\(142\) | −0.664698 | − | 1.92052i | −0.0557802 | − | 0.161166i | ||||
\(143\) | 1.03799 | − | 21.7901i | 0.0868013 | − | 1.82218i | ||||
\(144\) | −1.58008 | + | 4.56533i | −0.131673 | + | 0.380444i | ||||
\(145\) | −1.19298 | − | 0.477598i | −0.0990718 | − | 0.0396624i | ||||
\(146\) | −7.06456 | + | 24.0597i | −0.584667 | + | 1.99119i | ||||
\(147\) | −6.90513 | − | 1.14856i | −0.569525 | − | 0.0947319i | ||||
\(148\) | 15.9953 | + | 2.29977i | 1.31480 | + | 0.189040i | ||||
\(149\) | 11.8753 | − | 8.45640i | 0.972866 | − | 0.692775i | 0.0211572 | − | 0.999776i | \(-0.493265\pi\) |
0.951709 | + | 0.307001i | \(0.0993256\pi\) | |||||||
\(150\) | 0.173326 | + | 1.81516i | 0.0141520 | + | 0.148207i | ||||
\(151\) | 2.32228 | − | 0.929702i | 0.188985 | − | 0.0756581i | −0.275240 | − | 0.961376i | \(-0.588757\pi\) |
0.464225 | + | 0.885717i | \(0.346333\pi\) | |||||||
\(152\) | −0.138395 | − | 2.90526i | −0.0112253 | − | 0.235648i | ||||
\(153\) | 0.285997 | + | 0.0839764i | 0.0231215 | + | 0.00678909i | ||||
\(154\) | −12.8349 | + | 24.2371i | −1.03427 | + | 1.95308i | ||||
\(155\) | −6.33356 | + | 5.48806i | −0.508724 | + | 0.440811i | ||||
\(156\) | 4.87473 | − | 2.51310i | 0.390291 | − | 0.201209i | ||||
\(157\) | 16.9277 | + | 3.26255i | 1.35098 | + | 0.260380i | 0.812845 | − | 0.582480i | \(-0.197917\pi\) |
0.538134 | + | 0.842860i | \(0.319130\pi\) | |||||||
\(158\) | 14.2287 | − | 14.9226i | 1.13197 | − | 1.18718i | ||||
\(159\) | 5.23128 | + | 0.499527i | 0.414868 | + | 0.0396150i | ||||
\(160\) | −13.5154 | −1.06849 | ||||||||
\(161\) | −10.7784 | + | 6.69522i | −0.849457 | + | 0.527657i | ||||
\(162\) | 1.84690 | 0.145106 | ||||||||
\(163\) | −1.49634 | − | 0.142883i | −0.117202 | − | 0.0111914i | 0.0362902 | − | 0.999341i | \(-0.488446\pi\) |
−0.153492 | + | 0.988150i | \(0.549052\pi\) | |||||||
\(164\) | 5.35228 | − | 5.61331i | 0.417943 | − | 0.438326i | ||||
\(165\) | 11.0399 | + | 2.12777i | 0.859455 | + | 0.165646i | ||||
\(166\) | 17.2558 | − | 8.89599i | 1.33931 | − | 0.690462i | ||||
\(167\) | −4.30395 | + | 3.72940i | −0.333050 | + | 0.288589i | −0.805291 | − | 0.592880i | \(-0.797991\pi\) |
0.472241 | + | 0.881470i | \(0.343445\pi\) | |||||||
\(168\) | 2.87593 | − | 0.105268i | 0.221883 | − | 0.00812162i | ||||
\(169\) | 2.02147 | + | 0.593558i | 0.155498 | + | 0.0456583i | ||||
\(170\) | 0.0524718 | + | 1.10152i | 0.00402440 | + | 0.0844826i | ||||
\(171\) | −2.48243 | + | 0.993814i | −0.189836 | + | 0.0759989i | ||||
\(172\) | −1.70749 | − | 17.8817i | −0.130195 | − | 1.36347i | ||||
\(173\) | 1.58563 | − | 1.12912i | 0.120553 | − | 0.0858457i | −0.518190 | − | 0.855266i | \(-0.673394\pi\) |
0.638743 | + | 0.769420i | \(0.279455\pi\) | |||||||
\(174\) | 1.17272 | + | 0.168612i | 0.0889039 | + | 0.0127825i | ||||
\(175\) | 2.33477 | − | 1.17129i | 0.176492 | − | 0.0885413i | ||||
\(176\) | 7.63912 | − | 26.0164i | 0.575820 | − | 1.96106i | ||||
\(177\) | 0.660809 | + | 0.264548i | 0.0496695 | + | 0.0198847i | ||||
\(178\) | −0.761689 | + | 2.20076i | −0.0570910 | + | 0.164954i | ||||
\(179\) | −0.695070 | + | 14.5913i | −0.0519520 | + | 1.09061i | 0.810912 | + | 0.585169i | \(0.198972\pi\) |
−0.862864 | + | 0.505437i | \(0.831331\pi\) | |||||||
\(180\) | 0.924487 | + | 2.67113i | 0.0689072 | + | 0.199094i | ||||
\(181\) | 8.94183 | − | 2.62556i | 0.664641 | − | 0.195156i | 0.0680258 | − | 0.997684i | \(-0.478330\pi\) |
0.596615 | + | 0.802527i | \(0.296512\pi\) | |||||||
\(182\) | −14.2157 | − | 12.5947i | −1.05373 | − | 0.933581i | ||||
\(183\) | 12.8290i | 0.948350i | ||||||||
\(184\) | 3.79101 | − | 3.58340i | 0.279477 | − | 0.264172i | ||||
\(185\) | −19.8674 | + | 11.4705i | −1.46068 | + | 0.843326i | ||||
\(186\) | 4.48193 | − | 6.29399i | 0.328631 | − | 0.461498i | ||||
\(187\) | −1.62580 | − | 0.394416i | −0.118891 | − | 0.0288425i | ||||
\(188\) | −7.09810 | − | 6.15054i | −0.517682 | − | 0.448574i | ||||
\(189\) | −0.956217 | − | 2.46691i | −0.0695545 | − | 0.179441i | ||||
\(190\) | −6.47842 | − | 7.47649i | −0.469994 | − | 0.542402i | ||||
\(191\) | −0.227847 | + | 0.569135i | −0.0164864 | + | 0.0411812i | −0.936383 | − | 0.350980i | \(-0.885848\pi\) |
0.919896 | + | 0.392162i | \(0.128273\pi\) | |||||||
\(192\) | 2.72009 | − | 0.659886i | 0.196305 | − | 0.0476231i | ||||
\(193\) | −13.2447 | − | 6.82812i | −0.953374 | − | 0.491499i | −0.0899330 | − | 0.995948i | \(-0.528665\pi\) |
−0.863441 | + | 0.504449i | \(0.831696\pi\) | |||||||
\(194\) | 3.63765 | + | 2.86068i | 0.261168 | + | 0.205385i | ||||
\(195\) | −3.23436 | + | 7.08225i | −0.231617 | + | 0.507171i | ||||
\(196\) | 3.90433 | + | 9.07296i | 0.278881 | + | 0.648069i | ||||
\(197\) | 2.77887 | − | 19.3274i | 0.197986 | − | 1.37702i | −0.612132 | − | 0.790756i | \(-0.709688\pi\) |
0.810118 | − | 0.586267i | \(-0.199403\pi\) | |||||||
\(198\) | −10.3542 | + | 0.493233i | −0.735843 | + | 0.0350525i | ||||
\(199\) | −6.49394 | − | 26.7684i | −0.460343 | − | 1.89756i | −0.440489 | − | 0.897758i | \(-0.645195\pi\) |
−0.0198541 | − | 0.999803i | \(-0.506320\pi\) | |||||||
\(200\) | −0.844138 | + | 0.663837i | −0.0596896 | + | 0.0469404i | ||||
\(201\) | −10.0703 | + | 1.94089i | −0.710304 | + | 0.136900i | ||||
\(202\) | 13.2010 | − | 20.5412i | 0.928821 | − | 1.44527i | ||||
\(203\) | −0.381951 | − | 1.65371i | −0.0268077 | − | 0.116067i | ||||
\(204\) | −0.118495 | − | 0.403557i | −0.00829632 | − | 0.0282547i | ||||
\(205\) | −1.04664 | + | 10.9609i | −0.0731003 | + | 0.765541i | ||||
\(206\) | 15.7974 | + | 27.3620i | 1.10066 | + | 1.90640i | ||||
\(207\) | −4.25312 | − | 2.21608i | −0.295612 | − | 0.154028i | ||||
\(208\) | 16.2614 | + | 9.38851i | 1.12752 | + | 0.650976i | ||||
\(209\) | 13.6517 | − | 6.23454i | 0.944311 | − | 0.431252i | ||||
\(210\) | 7.46774 | − | 6.32819i | 0.515323 | − | 0.436687i | ||||
\(211\) | −3.47635 | + | 4.01192i | −0.239322 | + | 0.276192i | −0.862686 | − | 0.505739i | \(-0.831220\pi\) |
0.623365 | + | 0.781931i | \(0.285765\pi\) | |||||||
\(212\) | −3.39784 | − | 6.59088i | −0.233364 | − | 0.452664i | ||||
\(213\) | −1.03986 | − | 0.359899i | −0.0712500 | − | 0.0246598i | ||||
\(214\) | −12.4878 | − | 15.8795i | −0.853649 | − | 1.08550i | ||||
\(215\) | 17.5976 | + | 18.4559i | 1.20015 | + | 1.25868i | ||||
\(216\) | 0.588071 | + | 0.915056i | 0.0400131 | + | 0.0622617i | ||||
\(217\) | −10.7274 | − | 2.72787i | −0.728221 | − | 0.185180i | ||||
\(218\) | 1.34742 | + | 0.615347i | 0.0912589 | + | 0.0416765i | ||||
\(219\) | 7.87544 | + | 11.0595i | 0.532173 | + | 0.747332i | ||||
\(220\) | −5.89627 | − | 14.7282i | −0.397526 | − | 0.992973i | ||||
\(221\) | 0.530868 | − | 1.02974i | 0.0357101 | − | 0.0692679i | ||||
\(222\) | 15.3079 | − | 14.5960i | 1.02740 | − | 0.979622i | ||||
\(223\) | −1.31464 | + | 0.189016i | −0.0880346 | + | 0.0126575i | −0.186191 | − | 0.982514i | \(-0.559614\pi\) |
0.0981568 | + | 0.995171i | \(0.468705\pi\) | |||||||
\(224\) | −10.1938 | − | 14.6540i | −0.681099 | − | 0.979115i | ||||
\(225\) | 0.830553 | + | 0.533764i | 0.0553702 | + | 0.0355843i | ||||
\(226\) | 11.0133 | − | 3.81174i | 0.732593 | − | 0.253553i | ||||
\(227\) | −10.4675 | − | 9.98077i | −0.694754 | − | 0.662447i | 0.258015 | − | 0.966141i | \(-0.416932\pi\) |
−0.952770 | + | 0.303694i | \(0.901780\pi\) | |||||||
\(228\) | 3.07349 | + | 2.18862i | 0.203547 | + | 0.144945i | ||||
\(229\) | 11.2475 | − | 19.4812i | 0.743253 | − | 1.28735i | −0.207753 | − | 0.978181i | \(-0.566615\pi\) |
0.951007 | − | 0.309171i | \(-0.100051\pi\) | |||||||
\(230\) | 2.60138 | − | 17.5513i | 0.171530 | − | 1.15730i | ||||
\(231\) | 6.01962 | + | 13.5748i | 0.396062 | + | 0.893156i | ||||
\(232\) | 0.289866 | + | 0.634718i | 0.0190306 | + | 0.0416713i | ||||
\(233\) | 2.78460 | − | 11.4783i | 0.182425 | − | 0.751968i | −0.804920 | − | 0.593383i | \(-0.797792\pi\) |
0.987345 | − | 0.158584i | \(-0.0506930\pi\) | |||||||
\(234\) | 1.35853 | − | 7.04873i | 0.0888099 | − | 0.460790i | ||||
\(235\) | 13.3183 | + | 0.634428i | 0.868788 | + | 0.0413855i | ||||
\(236\) | −0.190081 | − | 0.986232i | −0.0123732 | − | 0.0641982i | ||||
\(237\) | −1.58881 | − | 11.0504i | −0.103204 | − | 0.717802i | ||||
\(238\) | −1.15474 | + | 0.887691i | −0.0748507 | + | 0.0575405i | ||||
\(239\) | −8.61418 | + | 5.53600i | −0.557205 | + | 0.358094i | −0.788735 | − | 0.614734i | \(-0.789263\pi\) |
0.231530 | + | 0.972828i | \(0.425627\pi\) | |||||||
\(240\) | −5.98218 | + | 7.60697i | −0.386148 | + | 0.491028i | ||||
\(241\) | −11.9602 | + | 1.14206i | −0.770424 | + | 0.0735666i | −0.472863 | − | 0.881136i | \(-0.656779\pi\) |
−0.297561 | + | 0.954703i | \(0.596173\pi\) | |||||||
\(242\) | 37.6929 | − | 3.59924i | 2.42299 | − | 0.231368i | ||||
\(243\) | 0.618159 | − | 0.786053i | 0.0396549 | − | 0.0504253i | ||||
\(244\) | 15.2287 | − | 9.78692i | 0.974920 | − | 0.626543i | ||||
\(245\) | −12.3189 | − | 6.69830i | −0.787027 | − | 0.427939i | ||||
\(246\) | −1.44474 | − | 10.0484i | −0.0921136 | − | 0.640664i | ||||
\(247\) | 1.96690 | + | 10.2052i | 0.125151 | + | 0.649343i | ||||
\(248\) | 4.54547 | + | 0.216527i | 0.288638 | + | 0.0137495i | ||||
\(249\) | 1.98934 | − | 10.3217i | 0.126069 | − | 0.654109i | ||||
\(250\) | −5.22229 | + | 21.5266i | −0.330287 | + | 1.36146i | ||||
\(251\) | 2.61976 | + | 5.73648i | 0.165358 | + | 0.362083i | 0.974113 | − | 0.226063i | \(-0.0725854\pi\) |
−0.808755 | + | 0.588146i | \(0.799858\pi\) | |||||||
\(252\) | −2.19888 | + | 3.01702i | −0.138517 | + | 0.190054i | ||||
\(253\) | 24.4359 | + | 11.2881i | 1.53627 | + | 0.709676i | ||||
\(254\) | 0.621724 | − | 1.07686i | 0.0390104 | − | 0.0675680i | ||||
\(255\) | 0.486375 | + | 0.346346i | 0.0304580 | + | 0.0216890i | ||||
\(256\) | 15.1786 | + | 14.4727i | 0.948661 | + | 0.904547i | ||||
\(257\) | −2.31104 | + | 0.799857i | −0.144158 | + | 0.0498937i | −0.398194 | − | 0.917301i | \(-0.630363\pi\) |
0.254036 | + | 0.967195i | \(0.418242\pi\) | |||||||
\(258\) | −19.7791 | − | 12.7113i | −1.23140 | − | 0.791370i | ||||
\(259\) | −27.4214 | − | 12.8898i | −1.70389 | − | 0.800933i | ||||
\(260\) | 10.8744 | − | 1.56350i | 0.674403 | − | 0.0969644i | ||||
\(261\) | 0.464273 | − | 0.442684i | 0.0287378 | − | 0.0274014i | ||||
\(262\) | 3.40403 | − | 6.60289i | 0.210301 | − | 0.407928i | ||||
\(263\) | −6.80314 | − | 16.9934i | −0.419499 | − | 1.04786i | −0.976147 | − | 0.217110i | \(-0.930337\pi\) |
0.556648 | − | 0.830749i | \(-0.312087\pi\) | |||||||
\(264\) | −3.54126 | − | 4.97300i | −0.217949 | − | 0.306067i | ||||
\(265\) | 9.57556 | + | 4.37301i | 0.588222 | + | 0.268632i | ||||
\(266\) | 3.22013 | − | 12.6632i | 0.197439 | − | 0.776431i | ||||
\(267\) | 0.681717 | + | 1.06077i | 0.0417204 | + | 0.0649182i | ||||
\(268\) | 9.98630 | + | 10.4733i | 0.610010 | + | 0.639760i | ||||
\(269\) | −7.80621 | − | 9.92641i | −0.475953 | − | 0.605224i | 0.487493 | − | 0.873127i | \(-0.337912\pi\) |
−0.963446 | + | 0.267903i | \(0.913669\pi\) | |||||||
\(270\) | 3.49620 | + | 1.21005i | 0.212772 | + | 0.0736410i | ||||
\(271\) | −8.58999 | − | 16.6623i | −0.521805 | − | 1.01216i | −0.991595 | − | 0.129382i | \(-0.958701\pi\) |
0.469790 | − | 0.882778i | \(-0.344330\pi\) | |||||||
\(272\) | 0.942995 | − | 1.08827i | 0.0571775 | − | 0.0659863i | ||||
\(273\) | −10.1184 | + | 1.83482i | −0.612391 | + | 0.111048i | ||||
\(274\) | −18.2569 | + | 8.33763i | −1.10294 | + | 0.503694i | ||||
\(275\) | −4.79885 | − | 2.77062i | −0.289382 | − | 0.167075i | ||||
\(276\) | 0.613982 | + | 6.73926i | 0.0369574 | + | 0.405656i | ||||
\(277\) | −1.63921 | − | 2.83919i | −0.0984903 | − | 0.170590i | 0.812570 | − | 0.582864i | \(-0.198068\pi\) |
−0.911060 | + | 0.412274i | \(0.864735\pi\) | |||||||
\(278\) | 0.994881 | − | 10.4189i | 0.0596690 | − | 0.624882i | ||||
\(279\) | −1.17866 | − | 4.01414i | −0.0705643 | − | 0.240320i | ||||
\(280\) | 5.51313 | + | 1.68497i | 0.329472 | + | 0.100696i | ||||
\(281\) | 13.2082 | − | 20.5523i | 0.787935 | − | 1.22605i | −0.182147 | − | 0.983271i | \(-0.558305\pi\) |
0.970082 | − | 0.242779i | \(-0.0780589\pi\) | |||||||
\(282\) | −12.0710 | + | 2.32650i | −0.718820 | + | 0.138541i | ||||
\(283\) | −9.42967 | + | 7.41557i | −0.560536 | + | 0.440810i | −0.857799 | − | 0.513985i | \(-0.828169\pi\) |
0.297263 | + | 0.954796i | \(0.403926\pi\) | |||||||
\(284\) | 0.366061 | + | 1.50892i | 0.0217217 | + | 0.0895382i | ||||
\(285\) | −5.35037 | + | 0.254869i | −0.316928 | + | 0.0150972i | ||||
\(286\) | −5.73386 | + | 39.8798i | −0.339050 | + | 2.35814i | ||||
\(287\) | −12.6737 | + | 7.13222i | −0.748104 | + | 0.421002i | ||||
\(288\) | 2.80280 | − | 6.13729i | 0.165157 | − | 0.361643i | ||||
\(289\) | 13.2931 | + | 10.4538i | 0.781945 | + | 0.614928i | ||||
\(290\) | 2.10950 | + | 1.08752i | 0.123874 | + | 0.0638615i | ||||
\(291\) | 2.43504 | − | 0.590735i | 0.142745 | − | 0.0346295i | ||||
\(292\) | 7.12026 | − | 17.7856i | 0.416682 | − | 1.04082i | ||||
\(293\) | −8.08048 | − | 9.32537i | −0.472067 | − | 0.544794i | 0.468919 | − | 0.883241i | \(-0.344644\pi\) |
−0.940985 | + | 0.338447i | \(0.890098\pi\) | |||||||
\(294\) | 12.4937 | + | 3.32394i | 0.728648 | + | 0.193856i | ||||
\(295\) | 1.07759 | + | 0.933736i | 0.0627397 | + | 0.0543642i | ||||
\(296\) | 12.1058 | + | 2.93684i | 0.703637 | + | 0.170701i | ||||
\(297\) | −3.25564 | + | 4.57191i | −0.188911 | + | 0.265289i | ||||
\(298\) | −23.3179 | + | 13.4626i | −1.35077 | + | 0.779867i | ||||
\(299\) | −11.5862 | + | 14.6020i | −0.670045 | + | 0.844454i | ||||
\(300\) | − | 1.39311i | − | 0.0804310i | ||||||
\(301\) | −6.73801 | + | 33.0002i | −0.388373 | + | 1.90210i | ||||
\(302\) | −4.43283 | + | 1.30160i | −0.255081 | + | 0.0748985i | ||||
\(303\) | −4.32407 | − | 12.4936i | −0.248411 | − | 0.717737i | ||||
\(304\) | −0.614665 | + | 12.9034i | −0.0352535 | + | 0.740061i | ||||
\(305\) | −8.40526 | + | 24.2854i | −0.481284 | + | 1.39058i | ||||
\(306\) | −0.511075 | − | 0.204603i | −0.0292162 | − | 0.0116964i | ||||
\(307\) | −2.34543 | + | 7.98780i | −0.133861 | + | 0.455888i | −0.998954 | − | 0.0457229i | \(-0.985441\pi\) |
0.865093 | + | 0.501611i | \(0.167259\pi\) | |||||||
\(308\) | 11.5218 | − | 17.5014i | 0.656515 | − | 0.997237i | ||||
\(309\) | 16.9328 | + | 2.43457i | 0.963275 | + | 0.138498i | ||||
\(310\) | 12.6080 | − | 8.97810i | 0.716085 | − | 0.509922i | ||||
\(311\) | 0.148937 | + | 1.55974i | 0.00844543 | + | 0.0884445i | 0.998712 | − | 0.0507399i | \(-0.0161580\pi\) |
−0.990266 | + | 0.139184i | \(0.955552\pi\) | |||||||
\(312\) | 3.92489 | − | 1.57129i | 0.222203 | − | 0.0889567i | ||||
\(313\) | 1.49180 | + | 31.3168i | 0.0843218 | + | 1.77013i | 0.505188 | + | 0.863009i | \(0.331423\pi\) |
−0.420867 | + | 0.907123i | \(0.638274\pi\) | |||||||
\(314\) | −30.5495 | − | 8.97015i | −1.72401 | − | 0.506215i | ||||
\(315\) | −0.193864 | − | 5.29636i | −0.0109230 | − | 0.298416i | ||||
\(316\) | −11.9054 | + | 10.3161i | −0.669730 | + | 0.580324i | ||||
\(317\) | 29.0153 | − | 14.9584i | 1.62966 | − | 0.840148i | 0.631773 | − | 0.775153i | \(-0.282327\pi\) |
0.997886 | − | 0.0649943i | \(-0.0207029\pi\) | |||||||
\(318\) | −9.53023 | − | 1.83680i | −0.534428 | − | 0.103003i | ||||
\(319\) | −2.48462 | + | 2.60579i | −0.139112 | + | 0.145896i | ||||
\(320\) | 5.58147 | + | 0.532966i | 0.312014 | + | 0.0297937i | ||||
\(321\) | −10.9381 | −0.610505 | ||||||||
\(322\) | 20.9919 | − | 10.4172i | 1.16984 | − | 0.580527i | ||||
\(323\) | 0.797034 | 0.0443481 | ||||||||
\(324\) | −1.40466 | − | 0.134129i | −0.0780368 | − | 0.00745162i | ||||
\(325\) | 2.64805 | − | 2.77719i | 0.146887 | − | 0.154051i | ||||
\(326\) | 2.72599 | + | 0.525392i | 0.150979 | + | 0.0290987i | ||||
\(327\) | 0.712878 | − | 0.367514i | 0.0394222 | − | 0.0203236i | ||||
\(328\) | 4.51851 | − | 3.91531i | 0.249493 | − | 0.216187i | ||||
\(329\) | 9.35718 | + | 14.9188i | 0.515878 | + | 0.822499i | ||||
\(330\) | −19.9238 | − | 5.85014i | −1.09677 | − | 0.322040i | ||||
\(331\) | −0.779059 | − | 16.3545i | −0.0428210 | − | 0.898923i | −0.913442 | − | 0.406969i | \(-0.866586\pi\) |
0.870621 | − | 0.491954i | \(-0.163717\pi\) | |||||||
\(332\) | −13.7700 | + | 5.51266i | −0.755725 | + | 0.302547i | ||||
\(333\) | −1.08861 | − | 11.4004i | −0.0596554 | − | 0.624739i | ||||
\(334\) | 8.56772 | − | 6.10105i | 0.468805 | − | 0.333834i | ||||
\(335\) | −20.3347 | − | 2.92370i | −1.11101 | − | 0.159739i | ||||
\(336\) | −12.7598 | − | 0.748746i | −0.696103 | − | 0.0408474i | ||||
\(337\) | −1.77335 | + | 6.03947i | −0.0966005 | + | 0.328991i | −0.993588 | − | 0.113066i | \(-0.963933\pi\) |
0.896987 | + | 0.442057i | \(0.145751\pi\) | |||||||
\(338\) | −3.61236 | − | 1.44617i | −0.196486 | − | 0.0786612i | ||||
\(339\) | 2.06385 | − | 5.96311i | 0.112093 | − | 0.323872i | ||||
\(340\) | 0.0400889 | − | 0.841571i | 0.00217413 | − | 0.0456406i | ||||
\(341\) | 7.67988 | + | 22.1895i | 0.415889 | + | 1.20163i | ||||
\(342\) | 4.73852 | − | 1.39135i | 0.256230 | − | 0.0752358i | ||||
\(343\) | −2.02871 | − | 18.4088i | −0.109540 | − | 0.993982i | ||||
\(344\) | − | 13.8470i | − | 0.746583i | ||||||
\(345\) | −6.59925 | − | 6.98158i | −0.355291 | − | 0.375876i | ||||
\(346\) | −3.11348 | + | 1.79757i | −0.167382 | + | 0.0966378i | ||||
\(347\) | 1.05874 | − | 1.48679i | 0.0568361 | − | 0.0798151i | −0.785180 | − | 0.619268i | \(-0.787429\pi\) |
0.842016 | + | 0.539453i | \(0.181369\pi\) | |||||||
\(348\) | −0.879670 | − | 0.213406i | −0.0471553 | − | 0.0114397i | ||||
\(349\) | 18.7858 | + | 16.2780i | 1.00558 | + | 0.871341i | 0.991701 | − | 0.128563i | \(-0.0410363\pi\) |
0.0138798 | + | 0.999904i | \(0.495582\pi\) | |||||||
\(350\) | −4.49820 | + | 1.74358i | −0.240439 | + | 0.0931981i | ||||
\(351\) | −2.54528 | − | 2.93741i | −0.135857 | − | 0.156787i | ||||
\(352\) | −14.0742 | + | 35.1558i | −0.750160 | + | 1.87381i | ||||
\(353\) | 2.22144 | − | 0.538915i | 0.118235 | − | 0.0286835i | −0.176205 | − | 0.984354i | \(-0.556382\pi\) |
0.294440 | + | 0.955670i | \(0.404867\pi\) | |||||||
\(354\) | −1.16848 | − | 0.602394i | −0.0621040 | − | 0.0320169i | ||||
\(355\) | −1.73266 | − | 1.36258i | −0.0919601 | − | 0.0723182i | ||||
\(356\) | 0.739130 | − | 1.61847i | 0.0391738 | − | 0.0857787i | ||||
\(357\) | −0.00868498 | + | 0.788575i | −0.000459658 | + | 0.0417358i | ||||
\(358\) | 3.83955 | − | 26.7047i | 0.202927 | − | 1.41139i | ||||
\(359\) | 16.4070 | − | 0.781561i | 0.865927 | − | 0.0412492i | 0.390084 | − | 0.920779i | \(-0.372446\pi\) |
0.475843 | + | 0.879530i | \(0.342143\pi\) | |||||||
\(360\) | 0.513698 | + | 2.11749i | 0.0270743 | + | 0.111602i | ||||
\(361\) | 9.31464 | − | 7.32511i | 0.490244 | − | 0.385532i | ||||
\(362\) | −16.9009 | + | 3.25737i | −0.888290 | + | 0.171204i | ||||
\(363\) | 11.0840 | − | 17.2470i | 0.581758 | − | 0.905232i | ||||
\(364\) | 9.89705 | + | 10.6113i | 0.518746 | + | 0.556183i | ||||
\(365\) | 7.66232 | + | 26.0955i | 0.401064 | + | 1.36590i | ||||
\(366\) | 2.25226 | − | 23.5867i | 0.117727 | − | 1.23290i | ||||
\(367\) | 3.34129 | + | 5.78729i | 0.174414 | + | 0.302094i | 0.939958 | − | 0.341289i | \(-0.110864\pi\) |
−0.765544 | + | 0.643383i | \(0.777530\pi\) | |||||||
\(368\) | −18.2740 | + | 14.2428i | −0.952598 | + | 0.742455i | ||||
\(369\) | −4.76022 | − | 2.74832i | −0.247807 | − | 0.143072i | ||||
\(370\) | 38.5408 | − | 17.6010i | 2.00364 | − | 0.915033i | ||||
\(371\) | 2.48077 | + | 13.6805i | 0.128795 | + | 0.710257i | ||||
\(372\) | −3.86583 | + | 4.46140i | −0.200434 | + | 0.231313i | ||||
\(373\) | −7.83648 | − | 15.2006i | −0.405757 | − | 0.787060i | 0.594092 | − | 0.804397i | \(-0.297511\pi\) |
−0.999850 | + | 0.0173373i | \(0.994481\pi\) | |||||||
\(374\) | 2.91986 | + | 1.01057i | 0.150982 | + | 0.0522555i | ||||
\(375\) | 7.41394 | + | 9.42759i | 0.382854 | + | 0.486839i | ||||
\(376\) | −4.99621 | − | 5.23987i | −0.257660 | − | 0.270226i | ||||
\(377\) | −1.34800 | − | 2.09753i | −0.0694255 | − | 0.108028i | ||||
\(378\) | 1.32495 | + | 4.70339i | 0.0681483 | + | 0.241916i | ||||
\(379\) | 18.8153 | + | 8.59266i | 0.966477 | + | 0.441375i | 0.835185 | − | 0.549968i | \(-0.185360\pi\) |
0.131292 | + | 0.991344i | \(0.458088\pi\) | |||||||
\(380\) | 4.38419 | + | 6.15674i | 0.224904 | + | 0.315834i | ||||
\(381\) | −0.250226 | − | 0.625034i | −0.0128195 | − | 0.0320214i | ||||
\(382\) | 0.518823 | − | 1.00638i | 0.0265453 | − | 0.0514907i | ||||
\(383\) | −12.1284 | + | 11.5644i | −0.619732 | + | 0.590913i | −0.933496 | − | 0.358588i | \(-0.883258\pi\) |
0.313764 | + | 0.949501i | \(0.398410\pi\) | |||||||
\(384\) | 8.23981 | − | 1.18471i | 0.420486 | − | 0.0604568i | ||||
\(385\) | 2.50129 | + | 29.6410i | 0.127478 | + | 1.51065i | ||||
\(386\) | 23.1522 | + | 14.8790i | 1.17841 | + | 0.757321i | ||||
\(387\) | −12.0301 | + | 4.16365i | −0.611523 | + | 0.211650i | ||||
\(388\) | −2.55886 | − | 2.43987i | −0.129906 | − | 0.123866i | ||||
\(389\) | 5.76642 | + | 4.10625i | 0.292369 | + | 0.208195i | 0.716824 | − | 0.697254i | \(-0.245595\pi\) |
−0.424455 | + | 0.905449i | \(0.639534\pi\) | |||||||
\(390\) | 7.18985 | − | 12.4532i | 0.364072 | − | 0.630592i | ||||
\(391\) | 0.931420 | + | 1.08440i | 0.0471039 | + | 0.0548405i | ||||
\(392\) | 2.33125 | + | 7.24844i | 0.117746 | + | 0.366101i | ||||
\(393\) | −1.67090 | − | 3.65876i | −0.0842858 | − | 0.184560i | ||||
\(394\) | −8.50217 | + | 35.0464i | −0.428333 | + | 1.76561i | ||||
\(395\) | 4.23234 | − | 21.9594i | 0.212952 | − | 1.10490i | ||||
\(396\) | 7.91074 | + | 0.376835i | 0.397529 | + | 0.0189367i | ||||
\(397\) | 0.237443 | + | 1.23197i | 0.0119169 | + | 0.0618309i | 0.987400 | − | 0.158242i | \(-0.0505826\pi\) |
−0.975483 | + | 0.220073i | \(0.929370\pi\) | |||||||
\(398\) | 7.23993 | + | 50.3548i | 0.362905 | + | 2.52406i | ||||
\(399\) | −4.31176 | − | 5.60888i | −0.215858 | − | 0.280795i | ||||
\(400\) | 4.01243 | − | 2.57863i | 0.200622 | − | 0.128932i | ||||
\(401\) | 17.0677 | − | 21.7033i | 0.852320 | − | 1.08381i | −0.143240 | − | 0.989688i | \(-0.545752\pi\) |
0.995560 | − | 0.0941254i | \(-0.0300055\pi\) | |||||||
\(402\) | 18.8554 | − | 1.80047i | 0.940422 | − | 0.0897994i | ||||
\(403\) | −16.1870 | + | 1.54567i | −0.806331 | + | 0.0769953i | ||||
\(404\) | −11.5318 | + | 14.6639i | −0.573730 | + | 0.729557i | ||||
\(405\) | 1.68518 | − | 1.08300i | 0.0837373 | − | 0.0538147i | ||||
\(406\) | 0.411909 | + | 3.10746i | 0.0204427 | + | 0.154221i | ||||
\(407\) | 9.14762 | + | 63.6231i | 0.453431 | + | 3.15368i | ||||
\(408\) | −0.0613592 | − | 0.318362i | −0.00303773 | − | 0.0157613i | ||||
\(409\) | −37.4882 | − | 1.78578i | −1.85367 | − | 0.0883012i | −0.909094 | − | 0.416591i | \(-0.863225\pi\) |
−0.944577 | + | 0.328289i | \(0.893528\pi\) | |||||||
\(410\) | 3.84857 | − | 19.9683i | 0.190067 | − | 0.986162i | ||||
\(411\) | −2.56203 | + | 10.5608i | −0.126376 | + | 0.520927i | ||||
\(412\) | −10.0276 | − | 21.9574i | −0.494025 | − | 1.08176i | ||||
\(413\) | −0.199648 | + | 1.87262i | −0.00982404 | + | 0.0921458i | ||||
\(414\) | 7.43047 | + | 4.82103i | 0.365188 | + | 0.236940i | ||||
\(415\) | 10.5283 | − | 18.2356i | 0.516815 | − | 0.895150i | ||||
\(416\) | −21.3613 | − | 15.2113i | −1.04733 | − | 0.745798i | ||||
\(417\) | −4.10134 | − | 3.91062i | −0.200844 | − | 0.191504i | ||||
\(418\) | −26.1938 | + | 9.06577i | −1.28118 | + | 0.443421i | ||||
\(419\) | −3.56134 | − | 2.28873i | −0.173983 | − | 0.111812i | 0.450751 | − | 0.892650i | \(-0.351156\pi\) |
−0.624734 | + | 0.780838i | \(0.714793\pi\) | |||||||
\(420\) | −6.13917 | + | 4.27058i | −0.299561 | + | 0.208383i | ||||
\(421\) | −11.7320 | + | 1.68681i | −0.571785 | + | 0.0822103i | −0.422142 | − | 0.906530i | \(-0.638722\pi\) |
−0.149643 | + | 0.988740i | \(0.547812\pi\) | |||||||
\(422\) | 7.09574 | − | 6.76578i | 0.345415 | − | 0.329353i | ||||
\(423\) | −3.05001 | + | 5.91619i | −0.148296 | + | 0.287655i | ||||
\(424\) | −2.12446 | − | 5.30664i | −0.103173 | − | 0.257713i | ||||
\(425\) | −0.170699 | − | 0.239713i | −0.00828013 | − | 0.0116278i | ||||
\(426\) | 1.84864 | + | 0.844245i | 0.0895669 | + | 0.0409038i | ||||
\(427\) | −32.6709 | + | 9.20345i | −1.58105 | + | 0.445386i | ||||
\(428\) | 8.34438 | + | 12.9841i | 0.403341 | + | 0.627610i | ||||
\(429\) | 15.0540 | + | 15.7882i | 0.726813 | + | 0.762259i | ||||
\(430\) | −29.1139 | − | 37.0213i | −1.40400 | − | 1.78533i | ||||
\(431\) | 9.44256 | + | 3.26810i | 0.454832 | + | 0.157419i | 0.544872 | − | 0.838519i | \(-0.316578\pi\) |
−0.0900399 | + | 0.995938i | \(0.528699\pi\) | |||||||
\(432\) | −2.21371 | − | 4.29400i | −0.106507 | − | 0.206595i | ||||
\(433\) | 9.74580 | − | 11.2472i | 0.468353 | − | 0.540508i | −0.471600 | − | 0.881813i | \(-0.656323\pi\) |
0.939953 | + | 0.341304i | \(0.110869\pi\) | |||||||
\(434\) | 19.2438 | + | 6.89858i | 0.923732 | + | 0.331143i | ||||
\(435\) | 1.16891 | − | 0.533822i | 0.0560448 | − | 0.0255948i | ||||
\(436\) | −0.980093 | − | 0.565857i | −0.0469380 | − | 0.0270996i | ||||
\(437\) | −12.5815 | − | 2.48163i | −0.601855 | − | 0.118713i | ||||
\(438\) | −12.5377 | − | 21.7160i | −0.599075 | − | 1.03763i | ||||
\(439\) | 3.26016 | − | 34.1419i | 0.155599 | − | 1.62951i | −0.494164 | − | 0.869369i | \(-0.664526\pi\) |
0.649763 | − | 0.760137i | \(-0.274868\pi\) | |||||||
\(440\) | −3.44543 | − | 11.7340i | −0.164254 | − | 0.559399i | ||||
\(441\) | 5.59634 | − | 4.20488i | 0.266492 | − | 0.200232i | ||||
\(442\) | −1.15680 | + | 1.80002i | −0.0550235 | + | 0.0856183i | ||||
\(443\) | −34.2471 | + | 6.60058i | −1.62713 | + | 0.313603i | −0.919532 | − | 0.393015i | \(-0.871432\pi\) |
−0.707595 | + | 0.706618i | \(0.750220\pi\) | |||||||
\(444\) | −12.7024 | + | 9.98930i | −0.602831 | + | 0.474071i | ||||
\(445\) | 0.595502 | + | 2.45469i | 0.0282295 | + | 0.116364i | ||||
\(446\) | 2.45020 | − | 0.116717i | 0.116020 | − | 0.00552672i | ||||
\(447\) | −2.07475 | + | 14.4302i | −0.0981321 | + | 0.682524i | ||||
\(448\) | 3.63185 | + | 6.45367i | 0.171589 | + | 0.304907i | ||||
\(449\) | −14.1783 | + | 31.0461i | −0.669114 | + | 1.46516i | 0.204665 | + | 0.978832i | \(0.434390\pi\) |
−0.873779 | + | 0.486323i | \(0.838338\pi\) | |||||||
\(450\) | −1.43330 | − | 1.12716i | −0.0675664 | − | 0.0531348i | ||||
\(451\) | 27.4210 | + | 14.1365i | 1.29121 | + | 0.665663i | ||||
\(452\) | −8.65299 | + | 2.09919i | −0.407002 | + | 0.0987377i | ||||
\(453\) | −0.929702 | + | 2.32228i | −0.0436812 | + | 0.109110i | ||||
\(454\) | 17.4928 | + | 20.1877i | 0.820976 | + | 0.947457i | ||||
\(455\) | −20.3562 | − | 3.15597i | −0.954314 | − | 0.147954i | ||||
\(456\) | 2.19814 | + | 1.90470i | 0.102937 | + | 0.0891957i | ||||
\(457\) | 3.53744 | + | 0.858173i | 0.165474 | + | 0.0401436i | 0.317640 | − | 0.948211i | \(-0.397110\pi\) |
−0.152166 | + | 0.988355i | \(0.548625\pi\) | |||||||
\(458\) | −24.0990 | + | 33.8423i | −1.12607 | + | 1.58135i | ||||
\(459\) | −0.258137 | + | 0.149036i | −0.0120488 | + | 0.00695639i | ||||
\(460\) | −3.25312 | + | 13.1597i | −0.151678 | + | 0.613575i | ||||
\(461\) | 13.6282i | 0.634729i | 0.948304 | + | 0.317365i | \(0.102798\pi\) | ||||
−0.948304 | + | 0.317365i | \(0.897202\pi\) | |||||||
\(462\) | −8.68413 | − | 26.0146i | −0.404022 | − | 1.21031i | ||||
\(463\) | 9.41277 | − | 2.76384i | 0.437449 | − | 0.128446i | −0.0555905 | − | 0.998454i | \(-0.517704\pi\) |
0.493039 | + | 0.870007i | \(0.335886\pi\) | |||||||
\(464\) | −1.01361 | − | 2.92865i | −0.0470559 | − | 0.135959i | ||||
\(465\) | 0.398760 | − | 8.37100i | 0.0184921 | − | 0.388196i | ||||
\(466\) | −7.13472 | + | 20.6144i | −0.330510 | + | 0.954945i | ||||
\(467\) | −27.7700 | − | 11.1174i | −1.28504 | − | 0.514454i | −0.374254 | − | 0.927326i | \(-0.622101\pi\) |
−0.910789 | + | 0.412872i | \(0.864526\pi\) | |||||||
\(468\) | −1.54514 | + | 5.26225i | −0.0714239 | + | 0.243248i | ||||
\(469\) | −12.1671 | − | 24.2530i | −0.561824 | − | 1.11990i | ||||
\(470\) | −24.3748 | − | 3.50457i | −1.12433 | − | 0.161654i | ||||
\(471\) | −14.0427 | + | 9.99975i | −0.647053 | + | 0.460764i | ||||
\(472\) | −0.0735964 | − | 0.770736i | −0.00338755 | − | 0.0354760i | ||||
\(473\) | 66.3319 | − | 26.5553i | 3.04994 | − | 1.22101i | ||||
\(474\) | 0.981088 | + | 20.5956i | 0.0450629 | + | 0.945986i | ||||
\(475\) | 2.53302 | + | 0.743762i | 0.116223 | + | 0.0341262i | ||||
\(476\) | 0.942705 | − | 0.591272i | 0.0432088 | − | 0.0271009i | ||||
\(477\) | −3.97152 | + | 3.44134i | −0.181843 | + | 0.157568i | ||||
\(478\) | 16.8094 | − | 8.66586i | 0.768845 | − | 0.396367i | ||||
\(479\) | −15.9219 | − | 3.06870i | −0.727492 | − | 0.140213i | −0.187959 | − | 0.982177i | \(-0.560187\pi\) |
−0.539533 | + | 0.841964i | \(0.681399\pi\) | |||||||
\(480\) | 9.32672 | − | 9.78158i | 0.425704 | − | 0.446466i | ||||
\(481\) | −44.3106 | − | 4.23115i | −2.02039 | − | 0.192924i | ||||
\(482\) | 22.1898 | 1.01072 | ||||||||
\(483\) | 2.59239 | − | 12.4209i | 0.117958 | − | 0.565172i | ||||
\(484\) | −28.9288 | −1.31494 | ||||||||
\(485\) | 4.99658 | + | 0.477115i | 0.226883 | + | 0.0216647i | ||||
\(486\) | −1.27451 | + | 1.33667i | −0.0578129 | + | 0.0606324i | ||||
\(487\) | 21.2346 | + | 4.09263i | 0.962230 | + | 0.185455i | 0.646093 | − | 0.763259i | \(-0.276402\pi\) |
0.316137 | + | 0.948713i | \(0.397614\pi\) | |||||||
\(488\) | 12.4033 | − | 6.39433i | 0.561470 | − | 0.289458i | ||||
\(489\) | 1.13600 | − | 0.984349i | 0.0513717 | − | 0.0445138i | ||||
\(490\) | 21.4729 | + | 14.4778i | 0.970047 | + | 0.654041i | ||||
\(491\) | 11.4140 | + | 3.35146i | 0.515108 | + | 0.151249i | 0.528947 | − | 0.848655i | \(-0.322587\pi\) |
−0.0138389 | + | 0.999904i | \(0.504405\pi\) | |||||||
\(492\) | 0.369047 | + | 7.74725i | 0.0166379 | + | 0.349273i | ||||
\(493\) | −0.177515 | + | 0.0710663i | −0.00799487 | + | 0.00320066i | ||||
\(494\) | −1.82460 | − | 19.1080i | −0.0820925 | − | 0.859711i | ||||
\(495\) | −9.15834 | + | 6.52163i | −0.411637 | + | 0.293125i | ||||
\(496\) | −20.0054 | − | 2.87634i | −0.898270 | − | 0.129152i | ||||
\(497\) | 0.170544 | − | 2.90633i | 0.00764994 | − | 0.130367i | ||||
\(498\) | −5.46954 | + | 18.6275i | −0.245096 | + | 0.834720i | ||||
\(499\) | 2.49698 | + | 0.999638i | 0.111780 | + | 0.0447499i | 0.426878 | − | 0.904309i | \(-0.359613\pi\) |
−0.315098 | + | 0.949059i | \(0.602038\pi\) | |||||||
\(500\) | 5.53516 | − | 15.9928i | 0.247540 | − | 0.715220i | ||||
\(501\) | 0.270976 | − | 5.68849i | 0.0121063 | − | 0.254143i | ||||
\(502\) | −3.80944 | − | 11.0067i | −0.170024 | − | 0.491252i | ||||
\(503\) | −11.5625 | + | 3.39505i | −0.515546 | + | 0.151378i | −0.529148 | − | 0.848530i | \(-0.677488\pi\) |
0.0136022 | + | 0.999907i | \(0.495670\pi\) | |||||||
\(504\) | −1.90844 | + | 2.15406i | −0.0850085 | + | 0.0959492i | ||||
\(505\) | − | 26.4834i | − | 1.17850i | ||||||
\(506\) | −42.9447 | − | 25.0436i | −1.90913 | − | 1.11332i | ||||
\(507\) | −1.82455 | + | 1.05341i | −0.0810313 | + | 0.0467834i | ||||
\(508\) | −0.551058 | + | 0.773852i | −0.0244492 | + | 0.0343341i | ||||
\(509\) | 25.9718 | + | 6.30068i | 1.15118 | + | 0.279273i | 0.765547 | − | 0.643380i | \(-0.222468\pi\) |
0.385631 | + | 0.922653i | \(0.373984\pi\) | |||||||
\(510\) | −0.833416 | − | 0.722159i | −0.0369043 | − | 0.0319777i | ||||
\(511\) | −22.5147 | + | 27.9899i | −0.995993 | + | 1.23820i | ||||
\(512\) | −14.4628 | − | 16.6909i | −0.639171 | − | 0.737642i | ||||
\(513\) | 0.993814 | − | 2.48243i | 0.0438780 | − | 0.109602i | ||||
\(514\) | 4.38936 | − | 1.06485i | 0.193606 | − | 0.0469684i | ||||
\(515\) | 30.4588 | + | 15.7026i | 1.34218 | + | 0.691940i | ||||
\(516\) | 14.1199 | + | 11.1040i | 0.621594 | + | 0.488827i | ||||
\(517\) | 15.5192 | − | 33.9823i | 0.682533 | − | 1.49454i | ||||
\(518\) | 48.1525 | + | 28.5125i | 2.11570 | + | 1.25277i | ||||
\(519\) | −0.277026 | + | 1.92676i | −0.0121601 | + | 0.0845754i | ||||
\(520\) | 8.45930 | − | 0.402966i | 0.370965 | − | 0.0176712i | ||||
\(521\) | 1.64653 | + | 6.78707i | 0.0721356 | + | 0.297347i | 0.996440 | − | 0.0843102i | \(-0.0268687\pi\) |
−0.924304 | + | 0.381657i | \(0.875354\pi\) | |||||||
\(522\) | −0.931302 | + | 0.732384i | −0.0407620 | + | 0.0320556i | ||||
\(523\) | 0.320835 | − | 0.0618360i | 0.0140292 | − | 0.00270390i | −0.182232 | − | 0.983256i | \(-0.558332\pi\) |
0.196261 | + | 0.980552i | \(0.437120\pi\) | |||||||
\(524\) | −3.06846 | + | 4.77462i | −0.134046 | + | 0.208580i | ||||
\(525\) | −0.763470 | + | 2.49803i | −0.0333206 | + | 0.109023i | ||||
\(526\) | 9.52449 | + | 32.4374i | 0.415287 | + | 1.41434i | ||||
\(527\) | −0.118536 | + | 1.24137i | −0.00516351 | + | 0.0540747i | ||||
\(528\) | 13.5574 | + | 23.4821i | 0.590010 | + | 1.02193i | ||||
\(529\) | −11.3265 | − | 20.0178i | −0.492455 | − | 0.870338i | ||||
\(530\) | −16.8373 | − | 9.72104i | −0.731367 | − | 0.422255i | ||||
\(531\) | −0.647473 | + | 0.295691i | −0.0280979 | + | 0.0128319i | ||||
\(532\) | −3.36872 | + | 9.39714i | −0.146053 | + | 0.407418i | ||||
\(533\) | −13.9905 | + | 16.1459i | −0.605994 | + | 0.699355i | ||||
\(534\) | −1.06714 | − | 2.06996i | −0.0461795 | − | 0.0895757i | ||||
\(535\) | −20.7059 | − | 7.16637i | −0.895193 | − | 0.309829i | ||||
\(536\) | 6.89578 | + | 8.76870i | 0.297852 | + | 0.378750i | ||||
\(537\) | −10.0806 | − | 10.5722i | −0.435009 | − | 0.456224i | ||||
\(538\) | 12.6094 | + | 19.6206i | 0.543628 | + | 0.845902i | ||||
\(539\) | −30.2516 | + | 25.0682i | −1.30303 | + | 1.07976i | ||||
\(540\) | −2.57116 | − | 1.17421i | −0.110645 | − | 0.0505298i | ||||
\(541\) | −16.0558 | − | 22.5472i | −0.690293 | − | 0.969381i | −0.999829 | − | 0.0184930i | \(-0.994113\pi\) |
0.309536 | − | 0.950888i | \(-0.399826\pi\) | |||||||
\(542\) | 12.8678 | + | 32.1423i | 0.552721 | + | 1.38063i | ||||
\(543\) | −4.27036 | + | 8.28335i | −0.183259 | + | 0.355473i | ||||
\(544\) | −1.45549 | + | 1.38781i | −0.0624037 | + | 0.0595018i | ||||
\(545\) | 1.59027 | − | 0.228646i | 0.0681195 | − | 0.00979411i | ||||
\(546\) | 18.9251 | − | 1.59702i | 0.809921 | − | 0.0683461i | ||||
\(547\) | −4.88592 | − | 3.13999i | −0.208907 | − | 0.134256i | 0.432004 | − | 0.901872i | \(-0.357807\pi\) |
−0.640911 | + | 0.767615i | \(0.721443\pi\) | |||||||
\(548\) | 14.4908 | − | 5.01530i | 0.619015 | − | 0.214243i | ||||
\(549\) | −9.28481 | − | 8.85305i | −0.396266 | − | 0.377839i | ||||
\(550\) | 8.33647 | + | 5.93638i | 0.355468 | + | 0.253128i | ||||
\(551\) | 0.857672 | − | 1.48553i | 0.0365380 | − | 0.0632857i | ||||
\(552\) | −0.0226673 | + | 5.21652i | −0.000964784 | + | 0.222030i | ||||
\(553\) | 27.0016 | − | 11.9736i | 1.14822 | − | 0.509169i | ||||
\(554\) | 2.51530 | + | 5.50774i | 0.106865 | + | 0.234001i | ||||
\(555\) | 5.40853 | − | 22.2943i | 0.229579 | − | 0.946339i | ||||
\(556\) | −1.51331 | + | 7.85182i | −0.0641788 | + | 0.332991i | ||||
\(557\) | −33.0990 | − | 1.57670i | −1.40245 | − | 0.0668069i | −0.667338 | − | 0.744755i | \(-0.732567\pi\) |
−0.735110 | + | 0.677948i | \(0.762870\pi\) | |||||||
\(558\) | 1.46229 | + | 7.58708i | 0.0619036 | + | 0.321187i | ||||
\(559\) | 7.04163 | + | 48.9756i | 0.297829 | + | 2.07145i | ||||
\(560\) | −23.6637 | − | 9.77726i | −0.999975 | − | 0.413165i | ||||
\(561\) | 1.40738 | − | 0.904471i | 0.0594198 | − | 0.0381868i | ||||
\(562\) | −27.8920 | + | 35.4675i | −1.17655 | + | 1.49611i | ||||
\(563\) | 38.5804 | − | 3.68399i | 1.62597 | − | 0.155261i | 0.758131 | − | 0.652103i | \(-0.226113\pi\) |
0.867841 | + | 0.496841i | \(0.165507\pi\) | |||||||
\(564\) | 9.34960 | − | 0.892778i | 0.393689 | − | 0.0375928i | ||||
\(565\) | 7.81376 | − | 9.93601i | 0.328728 | − | 0.418011i | ||||
\(566\) | 18.6387 | − | 11.9784i | 0.783443 | − | 0.503488i | ||||
\(567\) | 2.44525 | + | 1.01032i | 0.102691 | + | 0.0424293i | ||||
\(568\) | 0.170339 | + | 1.18473i | 0.00714725 | + | 0.0497102i | ||||
\(569\) | −8.69905 | − | 45.1350i | −0.364683 | − | 1.89216i | −0.445248 | − | 0.895407i | \(-0.646884\pi\) |
0.0805643 | − | 0.996749i | \(-0.474328\pi\) | |||||||
\(570\) | 9.88161 | + | 0.470719i | 0.413895 | + | 0.0197163i | ||||
\(571\) | 5.93241 | − | 30.7802i | 0.248263 | − | 1.28811i | −0.617067 | − | 0.786911i | \(-0.711679\pi\) |
0.865330 | − | 0.501202i | \(-0.167109\pi\) | |||||||
\(572\) | 7.25711 | − | 29.9142i | 0.303435 | − | 1.25078i | ||||
\(573\) | −0.254670 | − | 0.557649i | −0.0106390 | − | 0.0232961i | ||||
\(574\) | 24.5532 | − | 10.8879i | 1.02483 | − | 0.454452i | ||||
\(575\) | 1.94819 | + | 4.31546i | 0.0812450 | + | 0.179967i | ||||
\(576\) | −1.39949 | + | 2.42399i | −0.0583122 | + | 0.101000i | ||||
\(577\) | 15.2790 | + | 10.8801i | 0.636073 | + | 0.452946i | 0.852055 | − | 0.523452i | \(-0.175356\pi\) |
−0.215982 | + | 0.976397i | \(0.569295\pi\) | |||||||
\(578\) | −22.6046 | − | 21.5534i | −0.940227 | − | 0.896504i | ||||
\(579\) | 14.0816 | − | 4.87370i | 0.585213 | − | 0.202544i | ||||
\(580\) | −1.52540 | − | 0.980316i | −0.0633388 | − | 0.0407054i | ||||
\(581\) | 27.7126 | − | 2.33856i | 1.14971 | − | 0.0970199i | ||||
\(582\) | −4.58063 | + | 0.658595i | −0.189873 | + | 0.0272997i | ||||
\(583\) | 21.3464 | − | 20.3537i | 0.884076 | − | 0.842965i | ||||
\(584\) | 6.76714 | − | 13.1264i | 0.280026 | − | 0.543175i | ||||
\(585\) | −2.89371 | − | 7.22813i | −0.119640 | − | 0.298846i | ||||
\(586\) | 13.2191 | + | 18.5637i | 0.546077 | + | 0.766859i | ||||
\(587\) | −22.6354 | − | 10.3372i | −0.934263 | − | 0.426664i | −0.110678 | − | 0.993856i | \(-0.535302\pi\) |
−0.823585 | + | 0.567192i | \(0.808030\pi\) | |||||||
\(588\) | −9.26071 | − | 3.43537i | −0.381905 | − | 0.141672i | ||||
\(589\) | −6.04805 | − | 9.41096i | −0.249206 | − | 0.387772i | ||||
\(590\) | −1.81727 | − | 1.90589i | −0.0748156 | − | 0.0784644i | ||||
\(591\) | 12.0703 | + | 15.3486i | 0.496505 | + | 0.631358i | ||||
\(592\) | −52.2835 | − | 18.0955i | −2.14884 | − | 0.743720i | ||||
\(593\) | −7.15011 | − | 13.8693i | −0.293620 | − | 0.569543i | 0.695172 | − | 0.718843i | \(-0.255328\pi\) |
−0.988792 | + | 0.149300i | \(0.952298\pi\) | |||||||
\(594\) | 6.78827 | − | 7.83408i | 0.278526 | − | 0.321436i | ||||
\(595\) | −0.533095 | + | 1.48708i | −0.0218548 | + | 0.0609645i | ||||
\(596\) | 18.7121 | − | 8.54555i | 0.766479 | − | 0.350039i | ||||
\(597\) | 23.8545 | + | 13.7724i | 0.976301 | + | 0.563668i | ||||
\(598\) | 23.8651 | − | 24.8123i | 0.975918 | − | 1.01465i | ||||
\(599\) | −4.82855 | − | 8.36330i | −0.197289 | − | 0.341715i | 0.750359 | − | 0.661030i | \(-0.229880\pi\) |
−0.947649 | + | 0.319315i | \(0.896547\pi\) | |||||||
\(600\) | 0.102080 | − | 1.06903i | 0.00416740 | − | 0.0436430i | ||||
\(601\) | 6.65758 | + | 22.6736i | 0.271568 | + | 0.924877i | 0.976485 | + | 0.215586i | \(0.0691663\pi\) |
−0.704916 | + | 0.709290i | \(0.749016\pi\) | |||||||
\(602\) | 18.1816 | − | 59.4892i | 0.741027 | − | 2.42460i | ||||
\(603\) | 5.54461 | − | 8.62759i | 0.225794 | − | 0.351343i | ||||
\(604\) | 3.46592 | − | 0.668001i | 0.141026 | − | 0.0271806i | ||||
\(605\) | 32.2818 | − | 25.3867i | 1.31244 | − | 1.03212i | ||||
\(606\) | 5.75661 | + | 23.7291i | 0.233846 | + | 0.963928i | ||||
\(607\) | −5.02855 | + | 0.239539i | −0.204102 | + | 0.00972260i | −0.149384 | − | 0.988779i | \(-0.547729\pi\) |
−0.0547183 | + | 0.998502i | \(0.517426\pi\) | |||||||
\(608\) | 2.56754 | − | 17.8576i | 0.104128 | − | 0.724223i | ||||
\(609\) | 1.46042 | + | 0.864757i | 0.0591792 | + | 0.0350417i | ||||
\(610\) | 19.7170 | − | 43.1741i | 0.798316 | − | 1.74807i | ||||
\(611\) | 20.3357 | + | 15.9922i | 0.822694 | + | 0.646974i | ||||
\(612\) | 0.373839 | + | 0.192727i | 0.0151115 | + | 0.00779054i | ||||
\(613\) | 0.130594 | − | 0.0316819i | 0.00527466 | − | 0.00127962i | −0.233121 | − | 0.972448i | \(-0.574894\pi\) |
0.238395 | + | 0.971168i | \(0.423379\pi\) | |||||||
\(614\) | 5.71450 | − | 14.2741i | 0.230619 | − | 0.576057i | ||||
\(615\) | −7.21050 | − | 8.32136i | −0.290755 | − | 0.335549i | ||||
\(616\) | 10.1239 | − | 12.5859i | 0.407905 | − | 0.507099i | ||||
\(617\) | −33.8414 | − | 29.3237i | −1.36240 | − | 1.18053i | −0.964804 | − | 0.262969i | \(-0.915298\pi\) |
−0.397598 | − | 0.917560i | \(-0.630156\pi\) | |||||||
\(618\) | −30.7043 | − | 7.44878i | −1.23511 | − | 0.299634i | ||||
\(619\) | 20.7956 | − | 29.2033i | 0.835846 | − | 1.17378i | −0.146961 | − | 0.989142i | \(-0.546949\pi\) |
0.982806 | − | 0.184639i | \(-0.0591116\pi\) | |||||||
\(620\) | −10.2410 | + | 5.91266i | −0.411290 | + | 0.237458i | ||||
\(621\) | 4.53884 | − | 1.54886i | 0.182137 | − | 0.0621534i | ||||
\(622\) | − | 2.89379i | − | 0.116030i | ||||||
\(623\) | −2.21234 | + | 2.49707i | −0.0886356 | + | 0.100043i | ||||
\(624\) | −18.0164 | + | 5.29010i | −0.721234 | + | 0.211773i | ||||
\(625\) | 6.24336 | + | 18.0390i | 0.249734 | + | 0.721560i | ||||
\(626\) | 2.75522 | − | 57.8392i | 0.110121 | − | 2.31172i | ||||
\(627\) | −4.90863 | + | 14.1826i | −0.196032 | + | 0.566397i | ||||
\(628\) | 22.5830 | + | 9.04087i | 0.901160 | + | 0.360770i | ||||
\(629\) | −0.961721 | + | 3.27532i | −0.0383463 | + | 0.130596i | ||||
\(630\) | −0.573400 | + | 9.77161i | −0.0228448 | + | 0.389310i | ||||
\(631\) | 0.554384 | + | 0.0797085i | 0.0220697 | + | 0.00317314i | 0.153341 | − | 0.988173i | \(-0.450997\pi\) |
−0.131271 | + | 0.991347i | \(0.541906\pi\) | |||||||
\(632\) | −9.89178 | + | 7.04390i | −0.393474 | + | 0.280191i | ||||
\(633\) | −0.504608 | − | 5.28450i | −0.0200564 | − | 0.210040i | ||||
\(634\) | −55.9718 | + | 22.4077i | −2.22292 | + | 0.889925i | ||||
\(635\) | −0.0641719 | − | 1.34713i | −0.00254658 | − | 0.0534593i | ||||
\(636\) | 7.11482 | + | 2.08910i | 0.282121 | + | 0.0828382i | ||||
\(637\) | −11.9314 | − | 24.4515i | −0.472741 | − | 0.968803i | ||||
\(638\) | 5.02554 | − | 4.35465i | 0.198963 | − | 0.172402i | ||||
\(639\) | 0.978056 | − | 0.504223i | 0.0386913 | − | 0.0199467i | ||||
\(640\) | 16.3742 | + | 3.15587i | 0.647247 | + | 0.124747i | ||||
\(641\) | −3.93711 | + | 4.12913i | −0.155507 | + | 0.163091i | −0.796879 | − | 0.604139i | \(-0.793517\pi\) |
0.641372 | + | 0.767230i | \(0.278366\pi\) | |||||||
\(642\) | 20.1101 | + | 1.92029i | 0.793684 | + | 0.0757876i | ||||
\(643\) | −16.9934 | −0.670156 | −0.335078 | − | 0.942190i | \(-0.608763\pi\) | ||||
−0.335078 | + | 0.942190i | \(0.608763\pi\) | |||||||
\(644\) | −16.7220 | + | 6.39828i | −0.658938 | + | 0.252128i | ||||
\(645\) | −25.5009 | −1.00410 | ||||||||
\(646\) | −1.46538 | − | 0.139927i | −0.0576545 | − | 0.00550534i | ||||
\(647\) | −24.4501 | + | 25.6426i | −0.961235 | + | 1.00811i | 0.0387261 | + | 0.999250i | \(0.487670\pi\) |
−0.999961 | + | 0.00886395i | \(0.997178\pi\) | |||||||
\(648\) | −1.06807 | − | 0.205854i | −0.0419578 | − | 0.00808671i | ||||
\(649\) | 3.55094 | − | 1.83064i | 0.139387 | − | 0.0718588i | ||||
\(650\) | −5.35611 | + | 4.64109i | −0.210084 | + | 0.182039i | ||||
\(651\) | 9.37698 | − | 5.88132i | 0.367513 | − | 0.230507i | ||||
\(652\) | −2.03510 | − | 0.597558i | −0.0797006 | − | 0.0234022i | ||||
\(653\) | 1.50588 | + | 31.6124i | 0.0589298 | + | 1.23709i | 0.813773 | + | 0.581183i | \(0.197410\pi\) |
−0.754843 | + | 0.655906i | \(0.772287\pi\) | |||||||
\(654\) | −1.37517 | + | 0.550537i | −0.0537736 | + | 0.0215277i | ||||
\(655\) | −0.765892 | − | 8.02079i | −0.0299259 | − | 0.313398i | ||||
\(656\) | −21.6306 | + | 15.4031i | −0.844533 | + | 0.601389i | ||||
\(657\) | −13.4388 | − | 1.93221i | −0.524298 | − | 0.0753827i | ||||
\(658\) | −14.5844 | − | 29.0715i | −0.568560 | − | 1.13333i | ||||
\(659\) | 1.36918 | − | 4.66299i | 0.0533356 | − | 0.181644i | −0.928517 | − | 0.371290i | \(-0.878916\pi\) |
0.981853 | + | 0.189645i | \(0.0607338\pi\) | |||||||
\(660\) | 14.7282 | + | 5.89627i | 0.573293 | + | 0.229512i | ||||
\(661\) | 11.8866 | − | 34.3440i | 0.462334 | − | 1.33583i | −0.437352 | − | 0.899290i | \(-0.644084\pi\) |
0.899687 | − | 0.436537i | \(-0.143795\pi\) | |||||||
\(662\) | −1.43885 | + | 30.2051i | −0.0559224 | + | 1.17396i | ||||
\(663\) | 0.378917 | + | 1.09481i | 0.0147159 | + | 0.0425189i | ||||
\(664\) | −10.9706 | + | 3.22127i | −0.425744 | + | 0.125010i | ||||
\(665\) | −4.48737 | − | 13.4426i | −0.174013 | − | 0.521281i | ||||
\(666\) | 21.1513i | 0.819594i | ||||||||
\(667\) | 3.02342 | − | 0.569101i | 0.117067 | − | 0.0220357i | ||||
\(668\) | −6.95927 | + | 4.01793i | −0.269262 | + | 0.155459i | ||||
\(669\) | 0.770406 | − | 1.08188i | 0.0297856 | − | 0.0418280i | ||||
\(670\) | 36.8730 | + | 8.94529i | 1.42453 | + | 0.345587i | ||||
\(671\) | 54.4174 | + | 47.1529i | 2.10076 | + | 1.82032i | ||||
\(672\) | 17.6401 | + | 2.73488i | 0.680483 | + | 0.105500i | ||||
\(673\) | 21.0018 | + | 24.2373i | 0.809559 | + | 0.934281i | 0.998865 | − | 0.0476375i | \(-0.0151692\pi\) |
−0.189306 | + | 0.981918i | \(0.560624\pi\) | |||||||
\(674\) | 4.32066 | − | 10.7925i | 0.166426 | − | 0.415711i | ||||
\(675\) | −0.959451 | + | 0.232760i | −0.0369293 | + | 0.00895895i | ||||
\(676\) | 2.64235 | + | 1.36223i | 0.101629 | + | 0.0523934i | ||||
\(677\) | 22.8407 | + | 17.9621i | 0.877839 | + | 0.690340i | 0.951733 | − | 0.306926i | \(-0.0993003\pi\) |
−0.0738943 | + | 0.997266i | \(0.523543\pi\) | |||||||
\(678\) | −4.84136 | + | 10.6011i | −0.185931 | + | 0.407133i | ||||
\(679\) | 3.25126 | + | 5.77737i | 0.124772 | + | 0.221715i | ||||
\(680\) | 0.0924295 | − | 0.642861i | 0.00354451 | − | 0.0246526i | ||||
\(681\) | 14.4468 | − | 0.688188i | 0.553604 | − | 0.0263714i | ||||
\(682\) | −10.2242 | − | 42.1447i | −0.391504 | − | 1.61380i | ||||
\(683\) | −19.4035 | + | 15.2590i | −0.742453 | + | 0.583871i | −0.916106 | − | 0.400936i | \(-0.868685\pi\) |
0.173654 | + | 0.984807i | \(0.444443\pi\) | |||||||
\(684\) | −3.70493 | + | 0.714066i | −0.141661 | + | 0.0273030i | ||||
\(685\) | −11.7691 | + | 18.3131i | −0.449675 | + | 0.699708i | ||||
\(686\) | 0.498032 | + | 34.2015i | 0.0190149 | + | 1.30582i | ||||
\(687\) | 6.33755 | + | 21.5837i | 0.241793 | + | 0.823470i | ||||
\(688\) | −5.84597 | + | 61.2217i | −0.222875 | + | 2.33406i | ||||
\(689\) | 10.2126 | + | 17.6887i | 0.389068 | + | 0.673886i | ||||
\(690\) | 10.9073 | + | 13.9945i | 0.415234 | + | 0.532761i | ||||
\(691\) | 14.2887 | + | 8.24961i | 0.543569 | + | 0.313830i | 0.746524 | − | 0.665358i | \(-0.231721\pi\) |
−0.202955 | + | 0.979188i | \(0.565054\pi\) | |||||||
\(692\) | 2.49850 | − | 1.14103i | 0.0949788 | − | 0.0433754i | ||||
\(693\) | −13.9786 | − | 5.01108i | −0.531001 | − | 0.190355i | ||||
\(694\) | −2.20756 | + | 2.54765i | −0.0837977 | + | 0.0967076i | ||||
\(695\) | −5.20172 | − | 10.0899i | −0.197312 | − | 0.382733i | ||||
\(696\) | −0.659398 | − | 0.228220i | −0.0249944 | − | 0.00865065i | ||||
\(697\) | 1.01278 | + | 1.28786i | 0.0383620 | + | 0.0487812i | ||||
\(698\) | −31.6807 | − | 33.2258i | −1.19913 | − | 1.25761i | ||||
\(699\) | 6.38563 | + | 9.93624i | 0.241527 | + | 0.375823i | ||||
\(700\) | 3.54773 | − | 0.999403i | 0.134092 | − | 0.0377739i | ||||
\(701\) | −1.95132 | − | 0.891136i | −0.0737002 | − | 0.0336578i | 0.378224 | − | 0.925714i | \(-0.376535\pi\) |
−0.451924 | + | 0.892056i | \(0.649262\pi\) | |||||||
\(702\) | 4.16391 | + | 5.84739i | 0.157157 | + | 0.220696i | ||||
\(703\) | −11.3814 | − | 28.4295i | −0.429259 | − | 1.07224i | ||||
\(704\) | 7.19858 | − | 13.9633i | 0.271307 | − | 0.526261i | ||||
\(705\) | −9.64982 | + | 9.20108i | −0.363433 | + | 0.346533i | ||||
\(706\) | −4.17881 | + | 0.600823i | −0.157272 | + | 0.0226123i | ||||
\(707\) | 28.7145 | − | 19.9746i | 1.07992 | − | 0.751223i | ||||
\(708\) | 0.844940 | + | 0.543010i | 0.0317548 | + | 0.0204076i | ||||
\(709\) | −6.77877 | + | 2.34616i | −0.254582 | + | 0.0881118i | −0.451378 | − | 0.892333i | \(-0.649068\pi\) |
0.196796 | + | 0.980444i | \(0.436946\pi\) | |||||||
\(710\) | 2.94635 | + | 2.80934i | 0.110575 | + | 0.105433i | ||||
\(711\) | 9.09397 | + | 6.47579i | 0.341051 | + | 0.242861i | ||||
\(712\) | 0.685782 | − | 1.18781i | 0.0257008 | − | 0.0445150i | ||||
\(713\) | 5.73624 | − | 19.2264i | 0.214824 | − | 0.720034i | ||||
\(714\) | 0.154409 | − | 1.44830i | 0.00577862 | − | 0.0542013i | ||||
\(715\) | 18.1532 | + | 39.7500i | 0.678892 | + | 1.48657i | ||||
\(716\) | −4.85957 | + | 20.0314i | −0.181611 | + | 0.748609i | ||||
\(717\) | 1.93788 | − | 10.0547i | 0.0723713 | − | 0.375498i | ||||
\(718\) | −30.3021 | − | 1.44347i | −1.13086 | − | 0.0538697i | ||||
\(719\) | −3.78236 | − | 19.6247i | −0.141058 | − | 0.731879i | −0.981722 | − | 0.190321i | \(-0.939047\pi\) |
0.840664 | − | 0.541557i | \(-0.182165\pi\) | |||||||
\(720\) | −1.37724 | − | 9.57892i | −0.0513267 | − | 0.356985i | ||||
\(721\) | 5.94751 | + | 44.8683i | 0.221497 | + | 1.67098i | ||||
\(722\) | −18.4113 | + | 11.8322i | −0.685199 | + | 0.440351i | ||||
\(723\) | 7.42693 | − | 9.44412i | 0.276211 | − | 0.351230i | ||||
\(724\) | 13.0905 | − | 1.24999i | 0.486505 | − | 0.0464556i | ||||
\(725\) | −0.630470 | + | 0.0602026i | −0.0234151 | + | 0.00223587i | ||||
\(726\) | −23.4062 | + | 29.7634i | −0.868686 | + | 1.10462i | ||||
\(727\) | −4.33916 | + | 2.78861i | −0.160931 | + | 0.103424i | −0.618627 | − | 0.785685i | \(-0.712311\pi\) |
0.457697 | + | 0.889108i | \(0.348675\pi\) | |||||||
\(728\) | 6.81718 | + | 8.86803i | 0.252662 | + | 0.328671i | ||||
\(729\) | 0.142315 | + | 0.989821i | 0.00527092 | + | 0.0366601i | ||||
\(730\) | −9.50619 | − | 49.3228i | −0.351840 | − | 1.82552i | ||||
\(731\) | 3.79022 | + | 0.180550i | 0.140186 | + | 0.00667790i | ||||
\(732\) | −3.42591 | + | 17.7753i | −0.126625 | + | 0.656994i | ||||
\(733\) | 0.570585 | − | 2.35199i | 0.0210751 | − | 0.0868725i | −0.960303 | − | 0.278960i | \(-0.910010\pi\) |
0.981378 | + | 0.192087i | \(0.0615256\pi\) | |||||||
\(734\) | −5.12709 | − | 11.2268i | −0.189244 | − | 0.414387i | ||||
\(735\) | 13.3488 | − | 4.29327i | 0.492379 | − | 0.158360i | ||||
\(736\) | 27.2966 | − | 17.3753i | 1.00617 | − | 0.640463i | ||||
\(737\) | −28.7805 | + | 49.8493i | −1.06014 | + | 1.83622i | ||||
\(738\) | 8.26937 | + | 5.88859i | 0.304400 | + | 0.216762i | ||||
\(739\) | −14.6688 | − | 13.9867i | −0.539601 | − | 0.514509i | 0.370535 | − | 0.928819i | \(-0.379174\pi\) |
−0.910136 | + | 0.414310i | \(0.864023\pi\) | |||||||
\(740\) | −30.5905 | + | 10.5875i | −1.12453 | + | 0.389203i | ||||
\(741\) | −8.74319 | − | 5.61891i | −0.321189 | − | 0.206416i | ||||
\(742\) | −2.15925 | − | 25.5877i | −0.0792685 | − | 0.939354i | ||||
\(743\) | −18.8498 | + | 2.71019i | −0.691531 | + | 0.0994271i | −0.479115 | − | 0.877752i | \(-0.659042\pi\) |
−0.212416 | + | 0.977179i | \(0.568133\pi\) | |||||||
\(744\) | −3.29344 | + | 3.14029i | −0.120743 | + | 0.115129i | ||||
\(745\) | −13.3818 | + | 25.9571i | −0.490271 | + | 0.950993i | ||||
\(746\) | 11.7391 | + | 29.3228i | 0.429798 | + | 1.07358i | ||||
\(747\) | 6.09734 | + | 8.56251i | 0.223090 | + | 0.313286i | ||||
\(748\) | −2.14731 | − | 0.980644i | −0.0785135 | − | 0.0358559i | ||||
\(749\) | −7.84691 | − | 27.8553i | −0.286720 | − | 1.01781i | ||||
\(750\) | −11.9757 | − | 18.6346i | −0.437292 | − | 0.680439i | ||||
\(751\) | −6.82019 | − | 7.15281i | −0.248872 | − | 0.261010i | 0.587434 | − | 0.809272i | \(-0.300138\pi\) |
−0.836307 | + | 0.548262i | \(0.815290\pi\) | |||||||
\(752\) | 19.8775 | + | 25.2763i | 0.724857 | + | 0.921731i | ||||
\(753\) | −5.95952 | − | 2.06261i | −0.217177 | − | 0.0751657i | ||||
\(754\) | 2.11011 | + | 4.09305i | 0.0768457 | + | 0.149060i | ||||
\(755\) | −3.28143 | + | 3.78698i | −0.119424 | + | 0.137822i | ||||
\(756\) | −0.666116 | − | 3.67339i | −0.0242264 | − | 0.133600i | ||||
\(757\) | 8.52338 | − | 3.89250i | 0.309787 | − | 0.141475i | −0.254454 | − | 0.967085i | \(-0.581896\pi\) |
0.564242 | + | 0.825610i | \(0.309169\pi\) | |||||||
\(758\) | −33.0842 | − | 19.1012i | −1.20167 | − | 0.693785i | ||||
\(759\) | −25.0323 | + | 9.89543i | −0.908615 | + | 0.359181i | ||||
\(760\) | 2.91318 | + | 5.04577i | 0.105672 | + | 0.183029i | ||||
\(761\) | −1.57273 | + | 16.4704i | −0.0570116 | + | 0.597052i | 0.921150 | + | 0.389207i | \(0.127251\pi\) |
−0.978162 | + | 0.207845i | \(0.933355\pi\) | |||||||
\(762\) | 0.350320 | + | 1.19308i | 0.0126907 | + | 0.0432207i | ||||
\(763\) | 1.44734 | + | 1.55179i | 0.0523971 | + | 0.0561785i | ||||
\(764\) | −0.467678 | + | 0.727721i | −0.0169200 | + | 0.0263280i | ||||
\(765\) | −0.586299 | + | 0.113000i | −0.0211977 | + | 0.00408552i | ||||
\(766\) | 24.3288 | − | 19.1324i | 0.879034 | − | 0.691280i | ||||
\(767\) | 0.652245 | + | 2.68859i | 0.0235512 | + | 0.0970793i | ||||
\(768\) | −20.9488 | + | 0.997916i | −0.755926 | + | 0.0360092i | ||||
\(769\) | 2.87488 | − | 19.9952i | 0.103671 | − | 0.721047i | −0.869994 | − | 0.493062i | \(-0.835877\pi\) |
0.973665 | − | 0.227984i | \(-0.0732135\pi\) | |||||||
\(770\) | 0.605032 | − | 54.9354i | 0.0218038 | − | 1.97973i | ||||
\(771\) | 1.01591 | − | 2.22454i | 0.0365872 | − | 0.0801149i | ||||
\(772\) | −16.5278 | − | 12.9976i | −0.594850 | − | 0.467795i | ||||
\(773\) | −17.7743 | − | 9.16331i | −0.639299 | − | 0.329581i | 0.107920 | − | 0.994160i | \(-0.465581\pi\) |
−0.747219 | + | 0.664578i | \(0.768611\pi\) | |||||||
\(774\) | 22.8488 | − | 5.54305i | 0.821282 | − | 0.199241i | ||||
\(775\) | −1.53511 | + | 3.83452i | −0.0551428 | + | 0.137740i | ||||
\(776\) | −1.78482 | − | 2.05979i | −0.0640712 | − | 0.0739421i | ||||
\(777\) | 28.2517 | − | 10.9509i | 1.01353 | − | 0.392860i | ||||
\(778\) | −9.88090 | − | 8.56185i | −0.354248 | − | 0.306957i | ||||
\(779\) | −14.2835 | − | 3.46514i | −0.511760 | − | 0.124152i | ||||
\(780\) | −6.37264 | + | 8.94913i | −0.228177 | + | 0.320430i | ||||
\(781\) | −5.34858 | + | 3.08801i | −0.191387 | + | 0.110498i | ||||
\(782\) | −1.52208 | − | 2.15724i | −0.0544293 | − | 0.0771426i | ||||
\(783\) | 0.641497i | 0.0229252i | ||||||||
\(784\) | −7.24698 | − | 33.0316i | −0.258821 | − | 1.17970i | ||||
\(785\) | −33.1344 | + | 9.72915i | −1.18262 | + | 0.347248i | ||||
\(786\) | 2.42969 | + | 7.02013i | 0.0866642 | + | 0.250400i | ||||
\(787\) | −1.93590 | + | 40.6394i | −0.0690072 | + | 1.44864i | 0.653317 | + | 0.757085i | \(0.273377\pi\) |
−0.722324 | + | 0.691555i | \(0.756926\pi\) | |||||||
\(788\) | 9.01153 | − | 26.0371i | 0.321023 | − | 0.927534i | ||||
\(789\) | 16.9934 | + | 6.80314i | 0.604981 | + | 0.242198i | ||||
\(790\) | −11.6365 | + | 39.6303i | −0.414008 | + | 1.40998i | ||||
\(791\) | 16.6665 | + | 0.977991i | 0.592591 | + | 0.0347733i | ||||
\(792\) | 6.04287 | + | 0.868834i | 0.214724 | + | 0.0308727i | ||||
\(793\) | −40.6174 | + | 28.9235i | −1.44237 | + | 1.02710i | ||||
\(794\) | −0.220265 | − | 2.30671i | −0.00781690 | − | 0.0818622i | ||||
\(795\) | −9.77279 | + | 3.91243i | −0.346605 | + | 0.138760i | ||||
\(796\) | −1.84938 | − | 38.8232i | −0.0655494 | − | 1.37605i | ||||
\(797\) | −12.6143 | − | 3.70388i | −0.446820 | − | 0.131198i | 0.0505789 | − | 0.998720i | \(-0.483893\pi\) |
−0.497399 | + | 0.867522i | \(0.665712\pi\) | |||||||
\(798\) | 6.94265 | + | 11.0691i | 0.245767 | + | 0.391843i | ||||
\(799\) | 1.49940 | − | 1.29924i | 0.0530451 | − | 0.0459639i | ||||
\(800\) | −5.92069 | + | 3.05233i | −0.209328 | + | 0.107916i | ||||
\(801\) | −1.23816 | − | 0.238635i | −0.0437481 | − | 0.00843175i | ||||
\(802\) | −35.1899 | + | 36.9061i | −1.24260 | + | 1.30320i | ||||
\(803\) | 75.8576 | + | 7.24352i | 2.67696 | + | 0.255618i | ||||
\(804\) | −14.4712 | −0.510361 | ||||||||
\(805\) | 13.0453 | − | 21.8144i | 0.459786 | − | 0.768857i | ||||
\(806\) | 30.0318 | 1.05782 | ||||||||
\(807\) | 12.5710 | + | 1.20038i | 0.442520 | + | 0.0422555i | ||||
\(808\) | −9.92371 | + | 10.4077i | −0.349115 | + | 0.366141i | ||||
\(809\) | −36.3508 | − | 7.00605i | −1.27803 | − | 0.246320i | −0.495321 | − | 0.868710i | \(-0.664949\pi\) |
−0.782707 | + | 0.622390i | \(0.786162\pi\) | |||||||
\(810\) | −3.28840 | + | 1.69529i | −0.115543 | + | 0.0595664i | ||||
\(811\) | −8.34891 | + | 7.23437i | −0.293170 | + | 0.254033i | −0.789010 | − | 0.614381i | \(-0.789406\pi\) |
0.495840 | + | 0.868414i | \(0.334860\pi\) | |||||||
\(812\) | −0.0876021 | − | 2.39329i | −0.00307423 | − | 0.0839882i | ||||
\(813\) | 17.9868 | + | 5.28141i | 0.630825 | + | 0.185227i | ||||
\(814\) | −5.64864 | − | 118.580i | −0.197985 | − | 4.15621i | ||||
\(815\) | 2.79537 | − | 1.11910i | 0.0979176 | − | 0.0392003i | ||||
\(816\) | 0.136880 | + | 1.43347i | 0.00479176 | + | 0.0501816i | ||||
\(817\) | −27.7284 | + | 19.7453i | −0.970093 | + | 0.690800i | ||||
\(818\) | 68.6100 | + | 9.86463i | 2.39889 | + | 0.344909i | ||||
\(819\) | 5.65454 | − | 8.58917i | 0.197586 | − | 0.300130i | ||||
\(820\) | −4.37720 | + | 14.9074i | −0.152858 | + | 0.520588i | ||||
\(821\) | −12.7878 | − | 5.11946i | −0.446297 | − | 0.178670i | 0.137618 | − | 0.990485i | \(-0.456056\pi\) |
−0.583915 | + | 0.811815i | \(0.698480\pi\) | |||||||
\(822\) | 6.56445 | − | 18.9667i | 0.228961 | − | 0.661541i | ||||
\(823\) | −0.635134 | + | 13.3331i | −0.0221394 | + | 0.464763i | 0.960390 | + | 0.278658i | \(0.0898895\pi\) |
−0.982530 | + | 0.186105i | \(0.940414\pi\) | |||||||
\(824\) | −6.08599 | − | 17.5843i | −0.212016 | − | 0.612579i | ||||
\(825\) | 5.31678 | − | 1.56115i | 0.185106 | − | 0.0543521i | ||||
\(826\) | 0.695818 | − | 3.40785i | 0.0242106 | − | 0.118574i | ||||
\(827\) | − | 35.8621i | − | 1.24705i | −0.781804 | − | 0.623525i | \(-0.785700\pi\) | ||
0.781804 | − | 0.623525i | \(-0.214300\pi\) | |||||||
\(828\) | −5.30113 | − | 4.20626i | −0.184227 | − | 0.146178i | ||||
\(829\) | −10.5602 | + | 6.09693i | −0.366771 | + | 0.211755i | −0.672047 | − | 0.740509i | \(-0.734585\pi\) |
0.305276 | + | 0.952264i | \(0.401251\pi\) | |||||||
\(830\) | −22.5582 | + | 31.6785i | −0.783006 | + | 1.09958i | ||||
\(831\) | 3.18600 | + | 0.772915i | 0.110521 | + | 0.0268121i | ||||
\(832\) | 8.22176 | + | 7.12420i | 0.285038 | + | 0.246987i | ||||
\(833\) | −2.01444 | + | 0.543600i | −0.0697963 | + | 0.0188346i | ||||
\(834\) | 6.85394 | + | 7.90987i | 0.237332 | + | 0.273896i | ||||
\(835\) | 4.23992 | − | 10.5908i | 0.146728 | − | 0.366510i | ||||
\(836\) | 20.5801 | − | 4.99268i | 0.711778 | − | 0.172675i | ||||
\(837\) | 3.71853 | + | 1.91704i | 0.128531 | + | 0.0662625i | ||||
\(838\) | 6.14586 | + | 4.83316i | 0.212305 | + | 0.166959i | ||||
\(839\) | 23.7212 | − | 51.9423i | 0.818948 | − | 1.79325i | 0.256185 | − | 0.966628i | \(-0.417534\pi\) |
0.562763 | − | 0.826618i | \(-0.309738\pi\) | |||||||
\(840\) | −5.02396 | + | 2.82728i | −0.173343 | + | 0.0975503i | ||||
\(841\) | 4.06857 | − | 28.2975i | 0.140295 | − | 0.975776i | ||||
\(842\) | 21.8660 | − | 1.04161i | 0.753552 | − | 0.0358961i | ||||
\(843\) | 5.75974 | + | 23.7420i | 0.198376 | + | 0.817717i | ||||
\(844\) | −5.88803 | + | 4.63040i | −0.202674 | + | 0.159385i | ||||
\(845\) | −4.14405 | + | 0.798701i | −0.142560 | + | 0.0274762i | ||||
\(846\) | 6.64621 | − | 10.3417i | 0.228501 | − | 0.355555i | ||||
\(847\) | 51.8733 | + | 15.8540i | 1.78239 | + | 0.544749i | ||||
\(848\) | 7.15247 | + | 24.3591i | 0.245617 | + | 0.836495i | ||||
\(849\) | 1.14031 | − | 11.9419i | 0.0391355 | − | 0.409845i | ||||
\(850\) | 0.271753 | + | 0.470691i | 0.00932107 | + | 0.0161446i | ||||
\(851\) | 25.3792 | − | 48.7079i | 0.869986 | − | 1.66968i | ||||
\(852\) | −1.34467 | − | 0.776346i | −0.0460677 | − | 0.0265972i | ||||
\(853\) | 34.1504 | − | 15.5960i | 1.16929 | − | 0.533996i | 0.266396 | − | 0.963864i | \(-0.414167\pi\) |
0.902892 | + | 0.429868i | \(0.141440\pi\) | |||||||
\(854\) | 61.6825 | − | 11.1852i | 2.11073 | − | 0.382751i | ||||
\(855\) | 3.50772 | − | 4.04812i | 0.119961 | − | 0.138443i | ||||
\(856\) | 5.45184 | + | 10.5751i | 0.186340 | + | 0.361449i | ||||
\(857\) | 47.3348 | + | 16.3827i | 1.61693 | + | 0.559624i | 0.977811 | − | 0.209487i | \(-0.0671793\pi\) |
0.639116 | + | 0.769111i | \(0.279301\pi\) | |||||||
\(858\) | −24.9056 | − | 31.6700i | −0.850263 | − | 1.08120i | ||||
\(859\) | −11.8480 | − | 12.4259i | −0.404250 | − | 0.423965i | 0.489868 | − | 0.871797i | \(-0.337045\pi\) |
−0.894118 | + | 0.447831i | \(0.852196\pi\) | |||||||
\(860\) | 19.4540 | + | 30.2709i | 0.663374 | + | 1.03223i | ||||
\(861\) | 3.58401 | − | 14.0942i | 0.122143 | − | 0.480328i | ||||
\(862\) | −16.7868 | − | 7.66627i | −0.571760 | − | 0.261114i | ||||
\(863\) | 13.5170 | + | 18.9820i | 0.460125 | + | 0.646155i | 0.977829 | − | 0.209405i | \(-0.0671526\pi\) |
−0.517704 | + | 0.855560i | \(0.673213\pi\) | |||||||
\(864\) | 2.50761 | + | 6.26370i | 0.0853105 | + | 0.213095i | ||||
\(865\) | −1.78678 | + | 3.46586i | −0.0607523 | + | 0.117843i | ||||
\(866\) | −19.8926 | + | 18.9676i | −0.675978 | + | 0.644544i | ||||
\(867\) | −16.7390 | + | 2.40671i | −0.568487 | + | 0.0817361i | ||||
\(868\) | −14.1349 | − | 6.64428i | −0.479769 | − | 0.225521i | ||||
\(869\) | −52.7126 | − | 33.8764i | −1.78815 | − | 1.14918i | ||||
\(870\) | −2.24280 | + | 0.776240i | −0.0760380 | + | 0.0263170i | ||||
\(871\) | −28.8488 | − | 27.5073i | −0.977505 | − | 0.932049i | ||||
\(872\) | −0.710634 | − | 0.506040i | −0.0240651 | − | 0.0171367i | ||||
\(873\) | −1.25284 | + | 2.16998i | −0.0424021 | + | 0.0734425i | ||||
\(874\) | 22.6959 | + | 6.77138i | 0.767701 | + | 0.229045i | ||||
\(875\) | −18.6899 | + | 25.6439i | −0.631835 | + | 0.866922i | ||||
\(876\) | 7.95847 | + | 17.4266i | 0.268892 | + | 0.588791i | ||||
\(877\) | 3.13712 | − | 12.9314i | 0.105933 | − | 0.436662i | −0.894002 | − | 0.448063i | \(-0.852114\pi\) |
0.999935 | + | 0.0114012i | \(0.00362920\pi\) | |||||||
\(878\) | −11.9879 | + | 62.1990i | −0.404571 | + | 2.09911i | ||||
\(879\) | 12.3253 | + | 0.587124i | 0.415721 | + | 0.0198032i | ||||
\(880\) | 10.2793 | + | 53.3342i | 0.346516 | + | 1.79789i | ||||
\(881\) | 4.72757 | + | 32.8810i | 0.159276 | + | 1.10779i | 0.899972 | + | 0.435947i | \(0.143587\pi\) |
−0.740696 | + | 0.671840i | \(0.765504\pi\) | |||||||
\(882\) | −11.0273 | + | 6.74835i | −0.371309 | + | 0.227229i | ||||
\(883\) | 18.5411 | − | 11.9157i | 0.623959 | − | 0.400994i | −0.190109 | − | 0.981763i | \(-0.560884\pi\) |
0.814069 | + | 0.580769i | \(0.197248\pi\) | |||||||
\(884\) | 1.01053 | − | 1.28500i | 0.0339879 | − | 0.0432191i | ||||
\(885\) | −1.41940 | + | 0.135536i | −0.0477126 | + | 0.00455600i | ||||
\(886\) | 64.1234 | − | 6.12304i | 2.15427 | − | 0.205708i | ||||
\(887\) | 25.5610 | − | 32.5035i | 0.858255 | − | 1.09136i | −0.136657 | − | 0.990618i | \(-0.543636\pi\) |
0.994913 | − | 0.100742i | \(-0.0321217\pi\) | |||||||
\(888\) | −10.4795 | + | 6.73475i | −0.351668 | + | 0.226003i | ||||
\(889\) | 1.41222 | − | 1.08563i | 0.0473644 | − | 0.0364108i | ||||
\(890\) | −0.663910 | − | 4.61760i | −0.0222543 | − | 0.154782i | ||||
\(891\) | −1.06220 | − | 5.51120i | −0.0355849 | − | 0.184632i | ||||
\(892\) | −1.87197 | − | 0.0891731i | −0.0626783 | − | 0.00298574i | ||||
\(893\) | −3.36834 | + | 17.4766i | −0.112717 | + | 0.584832i | ||||
\(894\) | 6.34786 | − | 26.1662i | 0.212304 | − | 0.875129i | ||||
\(895\) | −12.1559 | − | 26.6178i | −0.406328 | − | 0.889734i | ||||
\(896\) | 8.92819 | + | 20.1339i | 0.298270 | + | 0.672626i | ||||
\(897\) | −2.57258 | − | 18.4618i | −0.0858959 | − | 0.616422i | ||||
\(898\) | 31.5178 | − | 54.5904i | 1.05176 | − | 1.82170i | ||||
\(899\) | 2.18613 | + | 1.55674i | 0.0729116 | + | 0.0519201i | ||||
\(900\) | 1.00824 | + | 0.961353i | 0.0336079 | + | 0.0320451i | ||||
\(901\) | 1.48024 | − | 0.512315i | 0.0493138 | − | 0.0170677i | ||||
\(902\) | −47.9329 | − | 30.8046i | −1.59599 | − | 1.02568i | ||||
\(903\) | −19.2336 | − | 27.6493i | −0.640054 | − | 0.920110i | ||||
\(904\) | −6.79389 | + | 0.976813i | −0.225961 | + | 0.0324883i | ||||
\(905\) | −13.5109 | + | 12.8826i | −0.449116 | + | 0.428232i | ||||
\(906\) | 2.11699 | − | 4.10640i | 0.0703324 | − | 0.136426i | ||||
\(907\) | −11.3287 | − | 28.2977i | −0.376162 | − | 0.939608i | −0.988800 | − | 0.149245i | \(-0.952316\pi\) |
0.612638 | − | 0.790364i | \(-0.290108\pi\) | |||||||
\(908\) | −11.8380 | − | 16.6242i | −0.392858 | − | 0.551693i | ||||
\(909\) | 12.0260 | + | 5.49208i | 0.398876 | + | 0.182161i | ||||
\(910\) | 36.8717 | + | 9.37611i | 1.22228 | + | 0.310815i | ||||
\(911\) | −13.8708 | − | 21.5833i | −0.459558 | − | 0.715087i | 0.531713 | − | 0.846925i | \(-0.321549\pi\) |
−0.991271 | + | 0.131838i | \(0.957912\pi\) | |||||||
\(912\) | −8.91447 | − | 9.34923i | −0.295188 | − | 0.309584i | ||||
\(913\) | −36.4700 | − | 46.3754i | −1.20698 | − | 1.53480i | ||||
\(914\) | −6.35306 | − | 2.19882i | −0.210141 | − | 0.0727304i | ||||
\(915\) | −11.7759 | − | 22.8420i | −0.389299 | − | 0.755134i | ||||
\(916\) | 20.7863 | − | 23.9886i | 0.686798 | − | 0.792607i | ||||
\(917\) | 8.11884 | − | 6.87994i | 0.268108 | − | 0.227196i | ||||
\(918\) | 0.500760 | − | 0.228690i | 0.0165276 | − | 0.00754788i | ||||
\(919\) | 20.4278 | + | 11.7940i | 0.673850 | + | 0.389048i | 0.797534 | − | 0.603274i | \(-0.206137\pi\) |
−0.123684 | + | 0.992322i | \(0.539471\pi\) | |||||||
\(920\) | −3.46064 | + | 9.86004i | −0.114094 | + | 0.325076i | ||||
\(921\) | −4.16251 | − | 7.20968i | −0.137159 | − | 0.237567i | ||||
\(922\) | 2.39256 | − | 25.0560i | 0.0787948 | − | 0.825177i | ||||
\(923\) | −1.20494 | − | 4.10365i | −0.0396611 | − | 0.135073i | ||||
\(924\) | 4.71544 | + | 20.4161i | 0.155127 | + | 0.671640i | ||||
\(925\) | −6.11282 | + | 9.51173i | −0.200988 | + | 0.312744i | ||||
\(926\) | −17.7910 | + | 3.42893i | −0.584648 | + | 0.112682i | ||||
\(927\) | −13.4470 | + | 10.5748i | −0.441656 | + | 0.347322i | ||||
\(928\) | 1.02041 | + | 4.20617i | 0.0334965 | + | 0.138074i | ||||
\(929\) | −18.3477 | + | 0.874011i | −0.601970 | + | 0.0286754i | −0.346355 | − | 0.938103i | \(-0.612581\pi\) |
−0.255615 | + | 0.966779i | \(0.582278\pi\) | |||||||
\(930\) | −2.20274 | + | 15.3204i | −0.0722308 | + | 0.502377i | ||||
\(931\) | 11.1906 | − | 15.0042i | 0.366756 | − | 0.491744i | ||||
\(932\) | 6.92342 | − | 15.1602i | 0.226784 | − | 0.496588i | ||||
\(933\) | −1.23161 | − | 0.968551i | −0.0403212 | − | 0.0317089i | ||||
\(934\) | 49.1045 | + | 25.3151i | 1.60675 | + | 0.828337i | ||||
\(935\) | 3.25677 | − | 0.790085i | 0.106508 | − | 0.0258385i | ||||
\(936\) | −1.57129 | + | 3.92489i | −0.0513592 | + | 0.128289i | ||||
\(937\) | 25.7409 | + | 29.7066i | 0.840920 | + | 0.970474i | 0.999859 | − | 0.0168149i | \(-0.00535260\pi\) |
−0.158938 | + | 0.987288i | \(0.550807\pi\) | |||||||
\(938\) | 18.1119 | + | 46.7262i | 0.591373 | + | 1.52566i | ||||
\(939\) | −23.6945 | − | 20.5314i | −0.773241 | − | 0.670017i | ||||
\(940\) | 18.2838 | + | 4.43559i | 0.596350 | + | 0.144673i | ||||
\(941\) | 22.3870 | − | 31.4382i | 0.729796 | − | 1.02485i | −0.268310 | − | 0.963333i | \(-0.586465\pi\) |
0.998106 | − | 0.0615222i | \(-0.0195955\pi\) | |||||||
\(942\) | 27.5736 | − | 15.9196i | 0.898396 | − | 0.518689i | ||||
\(943\) | −11.9774 | − | 23.4828i | −0.390036 | − | 0.764705i | ||||
\(944\) | 3.43872i | 0.111921i | ||||||||
\(945\) | 3.96694 | + | 3.51460i | 0.129045 | + | 0.114330i | ||||
\(946\) | −126.616 | + | 37.1778i | −4.11664 | + | 1.20875i | ||||
\(947\) | −4.70625 | − | 13.5978i | −0.152933 | − | 0.441870i | 0.842345 | − | 0.538939i | \(-0.181175\pi\) |
−0.995278 | + | 0.0970689i | \(0.969053\pi\) | |||||||
\(948\) | 0.749561 | − | 15.7352i | 0.0243446 | − | 0.511056i | ||||
\(949\) | −17.2595 | + | 49.8681i | −0.560267 | + | 1.61879i | ||||
\(950\) | −4.52649 | − | 1.81213i | −0.146859 | − | 0.0587934i | ||||
\(951\) | −9.19691 | + | 31.3218i | −0.298230 | + | 1.01568i | ||||
\(952\) | 0.766732 | − | 0.384650i | 0.0248499 | − | 0.0124666i | ||||
\(953\) | −6.85170 | − | 0.985126i | −0.221948 | − | 0.0319114i | 0.0304434 | − | 0.999536i | \(-0.490308\pi\) |
−0.252392 | + | 0.967625i | \(0.581217\pi\) | |||||||
\(954\) | 7.90596 | − | 5.62981i | 0.255965 | − | 0.182272i | ||||
\(955\) | −0.116733 | − | 1.22248i | −0.00377740 | − | 0.0395587i | ||||
\(956\) | −13.4138 | + | 5.37006i | −0.433832 | + | 0.173680i | ||||
\(957\) | −0.171318 | − | 3.59640i | −0.00553792 | − | 0.116255i | ||||
\(958\) | 28.7344 | + | 8.43718i | 0.928366 | + | 0.272593i | ||||
\(959\) | −28.7326 | + | 1.05170i | −0.927823 | + | 0.0339612i | ||||
\(960\) | −4.23738 | + | 3.67171i | −0.136761 | + | 0.118504i | ||||
\(961\) | −11.9970 | + | 6.18490i | −0.387001 | + | 0.199513i | ||||
\(962\) | 80.7240 | + | 15.5583i | 2.60264 | + | 0.501619i | ||||
\(963\) | 7.54815 | − | 7.91628i | 0.243236 | − | 0.255098i | ||||
\(964\) | −16.8765 | − | 1.61151i | −0.543555 | − | 0.0519032i | ||||
\(965\) | 29.8497 | 0.960896 | ||||||||
\(966\) | −6.94683 | + | 22.3813i | −0.223511 | + | 0.720105i | ||||
\(967\) | 3.55506 | 0.114323 | 0.0571615 | − | 0.998365i | \(-0.481795\pi\) | ||||
0.0571615 | + | 0.998365i | \(0.481795\pi\) | |||||||
\(968\) | −22.1991 | − | 2.11976i | −0.713508 | − | 0.0681317i | ||||
\(969\) | −0.550016 | + | 0.576840i | −0.0176691 | + | 0.0185308i | ||||
\(970\) | −9.10265 | − | 1.75439i | −0.292268 | − | 0.0563301i | ||||
\(971\) | −23.4218 | + | 12.0748i | −0.751640 | + | 0.387497i | −0.791070 | − | 0.611725i | \(-0.790476\pi\) |
0.0394306 | + | 0.999222i | \(0.487446\pi\) | |||||||
\(972\) | 1.06640 | − | 0.924043i | 0.0342049 | − | 0.0296387i | ||||
\(973\) | 7.01666 | − | 13.2501i | 0.224944 | − | 0.424778i | ||||
\(974\) | −38.3221 | − | 11.2524i | −1.22792 | − | 0.360550i | ||||
\(975\) | 0.182587 | + | 3.83297i | 0.00584745 | + | 0.122753i | ||||
\(976\) | −57.5379 | + | 23.0347i | −1.84174 | + | 0.737323i | ||||
\(977\) | −0.0726466 | − | 0.760789i | −0.00232417 | − | 0.0243398i | 0.994235 | − | 0.107219i | \(-0.0341945\pi\) |
−0.996560 | + | 0.0828790i | \(0.973588\pi\) | |||||||
\(978\) | −2.26139 | + | 1.61033i | −0.0723114 | + | 0.0514927i | ||||
\(979\) | 7.00516 | + | 1.00719i | 0.223886 | + | 0.0321899i | ||||
\(980\) | −15.2798 | − | 12.5705i | −0.488095 | − | 0.401551i | ||||
\(981\) | −0.225960 | + | 0.769547i | −0.00721433 | + | 0.0245698i | ||||
\(982\) | −20.3968 | − | 8.16564i | −0.650888 | − | 0.260576i | ||||
\(983\) | −14.0563 | + | 40.6129i | −0.448325 | + | 1.29535i | 0.463982 | + | 0.885845i | \(0.346420\pi\) |
−0.912307 | + | 0.409507i | \(0.865701\pi\) | |||||||
\(984\) | −0.284485 | + | 5.97208i | −0.00906905 | + | 0.190383i | ||||
\(985\) | 12.7931 | + | 36.9632i | 0.407621 | + | 1.17774i | ||||
\(986\) | 0.338845 | − | 0.0994938i | 0.0107910 | − | 0.00316853i | ||||
\(987\) | −17.2544 | − | 3.52303i | −0.549214 | − | 0.112139i | ||||
\(988\) | 14.6651i | 0.466560i | ||||||||
\(989\) | −59.2680 | − | 14.6512i | −1.88461 | − | 0.465882i | ||||
\(990\) | 17.9829 | − | 10.3824i | 0.571535 | − | 0.329976i | ||||
\(991\) | −12.7375 | + | 17.8874i | −0.404621 | + | 0.568211i | −0.965736 | − | 0.259527i | \(-0.916433\pi\) |
0.561115 | + | 0.827738i | \(0.310373\pi\) | |||||||
\(992\) | 27.4311 | + | 6.65471i | 0.870938 | + | 0.211287i | ||||
\(993\) | 12.3739 | + | 10.7220i | 0.392674 | + | 0.340254i | ||||
\(994\) | −0.823785 | + | 5.31346i | −0.0261289 | + | 0.168533i | ||||
\(995\) | 36.1334 | + | 41.7001i | 1.14550 | + | 1.32198i | ||||
\(996\) | 5.51266 | − | 13.7700i | 0.174675 | − | 0.436318i | ||||
\(997\) | 22.8869 | − | 5.55231i | 0.724837 | − | 0.175843i | 0.143667 | − | 0.989626i | \(-0.454110\pi\) |
0.581169 | + | 0.813783i | \(0.302595\pi\) | |||||||
\(998\) | −4.41529 | − | 2.27624i | −0.139764 | − | 0.0720532i | ||||
\(999\) | 9.00210 | + | 7.07933i | 0.284814 | + | 0.223980i |
(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 | 483.2.bf.a.19.7 | ✓ | 640 | |
7.3 | odd | 6 | inner | 483.2.bf.a.157.26 | yes | 640 | |
23.17 | odd | 22 | inner | 483.2.bf.a.40.26 | yes | 640 | |
161.17 | even | 66 | inner | 483.2.bf.a.178.7 | yes | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.bf.a.19.7 | ✓ | 640 | 1.1 | even | 1 | trivial | |
483.2.bf.a.40.26 | yes | 640 | 23.17 | odd | 22 | inner | |
483.2.bf.a.157.26 | yes | 640 | 7.3 | odd | 6 | inner | |
483.2.bf.a.178.7 | yes | 640 | 161.17 | even | 66 | inner |