Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(85,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.85");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.q (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | \(\Q(\zeta_{22})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 673.1 | ||
Root | \(0.959493 - 0.281733i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 966.673 |
Dual form | 966.2.q.a.211.1 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{9}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.415415 | − | 0.909632i | 0.293743 | − | 0.643207i | ||||
\(3\) | −0.959493 | − | 0.281733i | −0.553964 | − | 0.162658i | ||||
\(4\) | −0.654861 | − | 0.755750i | −0.327430 | − | 0.377875i | ||||
\(5\) | −0.114669 | + | 0.0736930i | −0.0512813 | + | 0.0329565i | −0.566030 | − | 0.824384i | \(-0.691521\pi\) |
0.514749 | + | 0.857341i | \(0.327885\pi\) | |||||||
\(6\) | −0.654861 | + | 0.755750i | −0.267346 | + | 0.308533i | ||||
\(7\) | 0.142315 | − | 0.989821i | 0.0537900 | − | 0.374117i | ||||
\(8\) | −0.959493 | + | 0.281733i | −0.339232 | + | 0.0996075i | ||||
\(9\) | 0.841254 | + | 0.540641i | 0.280418 | + | 0.180214i | ||||
\(10\) | 0.0193985 | + | 0.134919i | 0.00613433 | + | 0.0426652i | ||||
\(11\) | −0.794209 | − | 1.73907i | −0.239463 | − | 0.524351i | 0.751299 | − | 0.659962i | \(-0.229428\pi\) |
−0.990762 | + | 0.135611i | \(0.956700\pi\) | |||||||
\(12\) | 0.415415 | + | 0.909632i | 0.119920 | + | 0.262588i | ||||
\(13\) | −0.231487 | − | 1.61003i | −0.0642030 | − | 0.446542i | −0.996413 | − | 0.0846237i | \(-0.973031\pi\) |
0.932210 | − | 0.361918i | \(-0.117878\pi\) | |||||||
\(14\) | −0.841254 | − | 0.540641i | −0.224834 | − | 0.144492i | ||||
\(15\) | 0.130785 | − | 0.0384020i | 0.0337686 | − | 0.00991536i | ||||
\(16\) | −0.142315 | + | 0.989821i | −0.0355787 | + | 0.247455i | ||||
\(17\) | −2.09514 | + | 2.41792i | −0.508147 | + | 0.586433i | −0.950623 | − | 0.310348i | \(-0.899555\pi\) |
0.442476 | + | 0.896780i | \(0.354100\pi\) | |||||||
\(18\) | 0.841254 | − | 0.540641i | 0.198285 | − | 0.127430i | ||||
\(19\) | −2.38533 | − | 2.75282i | −0.547233 | − | 0.631540i | 0.413003 | − | 0.910729i | \(-0.364480\pi\) |
−0.960236 | + | 0.279189i | \(0.909934\pi\) | |||||||
\(20\) | 0.130785 | + | 0.0384020i | 0.0292445 | + | 0.00858696i | ||||
\(21\) | −0.415415 | + | 0.909632i | −0.0906510 | + | 0.198498i | ||||
\(22\) | −1.91184 | −0.407607 | ||||||||
\(23\) | −3.50140 | − | 3.27723i | −0.730091 | − | 0.683350i | ||||
\(24\) | 1.00000 | 0.204124 | ||||||||
\(25\) | −2.06936 | + | 4.53126i | −0.413871 | + | 0.906252i | ||||
\(26\) | −1.56070 | − | 0.458262i | −0.306078 | − | 0.0898726i | ||||
\(27\) | −0.654861 | − | 0.755750i | −0.126028 | − | 0.145444i | ||||
\(28\) | −0.841254 | + | 0.540641i | −0.158982 | + | 0.102172i | ||||
\(29\) | 2.27351 | − | 2.62377i | 0.422181 | − | 0.487222i | −0.504319 | − | 0.863517i | \(-0.668257\pi\) |
0.926500 | + | 0.376295i | \(0.122802\pi\) | |||||||
\(30\) | 0.0193985 | − | 0.134919i | 0.00354166 | − | 0.0246328i | ||||
\(31\) | 4.47640 | − | 1.31439i | 0.803985 | − | 0.236071i | 0.146179 | − | 0.989258i | \(-0.453303\pi\) |
0.657807 | + | 0.753187i | \(0.271484\pi\) | |||||||
\(32\) | 0.841254 | + | 0.540641i | 0.148714 | + | 0.0955727i | ||||
\(33\) | 0.272084 | + | 1.89238i | 0.0473637 | + | 0.329422i | ||||
\(34\) | 1.32907 | + | 2.91025i | 0.227933 | + | 0.499104i | ||||
\(35\) | 0.0566239 | + | 0.123989i | 0.00957118 | + | 0.0209580i | ||||
\(36\) | −0.142315 | − | 0.989821i | −0.0237191 | − | 0.164970i | ||||
\(37\) | −5.69755 | − | 3.66160i | −0.936672 | − | 0.601963i | −0.0192228 | − | 0.999815i | \(-0.506119\pi\) |
−0.917449 | + | 0.397853i | \(0.869756\pi\) | |||||||
\(38\) | −3.49496 | + | 1.02621i | −0.566957 | + | 0.166473i | ||||
\(39\) | −0.231487 | + | 1.61003i | −0.0370676 | + | 0.257811i | ||||
\(40\) | 0.0892619 | − | 0.103014i | 0.0141135 | − | 0.0162879i | ||||
\(41\) | −9.25980 | + | 5.95091i | −1.44614 | + | 0.929376i | −0.446740 | + | 0.894664i | \(0.647415\pi\) |
−0.999397 | + | 0.0347122i | \(0.988949\pi\) | |||||||
\(42\) | 0.654861 | + | 0.755750i | 0.101047 | + | 0.116615i | ||||
\(43\) | −2.86774 | − | 0.842045i | −0.437326 | − | 0.128411i | 0.0556558 | − | 0.998450i | \(-0.482275\pi\) |
−0.492982 | + | 0.870039i | \(0.664093\pi\) | |||||||
\(44\) | −0.794209 | + | 1.73907i | −0.119731 | + | 0.262175i | ||||
\(45\) | −0.136307 | −0.0203194 | ||||||||
\(46\) | −4.43560 | + | 1.82357i | −0.653994 | + | 0.268871i | ||||
\(47\) | −10.3286 | −1.50658 | −0.753292 | − | 0.657686i | \(-0.771535\pi\) | ||||
−0.753292 | + | 0.657686i | \(0.771535\pi\) | |||||||
\(48\) | 0.415415 | − | 0.909632i | 0.0599600 | − | 0.131294i | ||||
\(49\) | −0.959493 | − | 0.281733i | −0.137070 | − | 0.0402475i | ||||
\(50\) | 3.26214 | + | 3.76471i | 0.461336 | + | 0.532410i | ||||
\(51\) | 2.69148 | − | 1.72971i | 0.376883 | − | 0.242208i | ||||
\(52\) | −1.06519 | + | 1.22929i | −0.147715 | + | 0.170472i | ||||
\(53\) | 0.287822 | − | 2.00184i | 0.0395354 | − | 0.274974i | −0.960459 | − | 0.278422i | \(-0.910188\pi\) |
0.999994 | + | 0.00344807i | \(0.00109756\pi\) | |||||||
\(54\) | −0.959493 | + | 0.281733i | −0.130570 | + | 0.0383389i | ||||
\(55\) | 0.219228 | + | 0.140889i | 0.0295607 | + | 0.0189975i | ||||
\(56\) | 0.142315 | + | 0.989821i | 0.0190176 | + | 0.132270i | ||||
\(57\) | 1.51315 | + | 3.31334i | 0.200422 | + | 0.438862i | ||||
\(58\) | −1.44222 | − | 3.15801i | −0.189372 | − | 0.414668i | ||||
\(59\) | 2.04547 | + | 14.2266i | 0.266298 | + | 1.85214i | 0.482632 | + | 0.875823i | \(0.339681\pi\) |
−0.216334 | + | 0.976319i | \(0.569410\pi\) | |||||||
\(60\) | −0.114669 | − | 0.0736930i | −0.0148036 | − | 0.00951372i | ||||
\(61\) | −7.00279 | + | 2.05620i | −0.896615 | + | 0.263270i | −0.697397 | − | 0.716685i | \(-0.745658\pi\) |
−0.199218 | + | 0.979955i | \(0.563840\pi\) | |||||||
\(62\) | 0.663953 | − | 4.61789i | 0.0843221 | − | 0.586473i | ||||
\(63\) | 0.654861 | − | 0.755750i | 0.0825047 | − | 0.0952155i | ||||
\(64\) | 0.841254 | − | 0.540641i | 0.105157 | − | 0.0675801i | ||||
\(65\) | 0.145192 | + | 0.167561i | 0.0180089 | + | 0.0207833i | ||||
\(66\) | 1.83440 | + | 0.538629i | 0.225799 | + | 0.0663006i | ||||
\(67\) | 3.63081 | − | 7.95037i | 0.443574 | − | 0.971292i | −0.547354 | − | 0.836901i | \(-0.684365\pi\) |
0.990928 | − | 0.134391i | \(-0.0429079\pi\) | |||||||
\(68\) | 3.19937 | 0.387981 | ||||||||
\(69\) | 2.43626 | + | 4.13094i | 0.293291 | + | 0.497306i | ||||
\(70\) | 0.136307 | 0.0162918 | ||||||||
\(71\) | 1.77683 | − | 3.89071i | 0.210871 | − | 0.461742i | −0.774411 | − | 0.632683i | \(-0.781954\pi\) |
0.985281 | + | 0.170941i | \(0.0546808\pi\) | |||||||
\(72\) | −0.959493 | − | 0.281733i | −0.113077 | − | 0.0332025i | ||||
\(73\) | 1.96318 | + | 2.26563i | 0.229773 | + | 0.265172i | 0.858915 | − | 0.512118i | \(-0.171139\pi\) |
−0.629142 | + | 0.777290i | \(0.716594\pi\) | |||||||
\(74\) | −5.69755 | + | 3.66160i | −0.662327 | + | 0.425652i | ||||
\(75\) | 3.26214 | − | 3.76471i | 0.376679 | − | 0.434711i | ||||
\(76\) | −0.518382 | + | 3.60543i | −0.0594625 | + | 0.413571i | ||||
\(77\) | −1.83440 | + | 0.538629i | −0.209049 | + | 0.0613824i | ||||
\(78\) | 1.36837 | + | 0.879398i | 0.154937 | + | 0.0995722i | ||||
\(79\) | −0.304200 | − | 2.11576i | −0.0342252 | − | 0.238041i | 0.965527 | − | 0.260303i | \(-0.0838224\pi\) |
−0.999752 | + | 0.0222616i | \(0.992913\pi\) | |||||||
\(80\) | −0.0566239 | − | 0.123989i | −0.00633074 | − | 0.0138624i | ||||
\(81\) | 0.415415 | + | 0.909632i | 0.0461572 | + | 0.101070i | ||||
\(82\) | 1.56648 | + | 10.8951i | 0.172989 | + | 1.20316i | ||||
\(83\) | 5.07208 | + | 3.25963i | 0.556733 | + | 0.357791i | 0.788552 | − | 0.614968i | \(-0.210831\pi\) |
−0.231818 | + | 0.972759i | \(0.574468\pi\) | |||||||
\(84\) | 0.959493 | − | 0.281733i | 0.104689 | − | 0.0307395i | ||||
\(85\) | 0.0620629 | − | 0.431657i | 0.00673167 | − | 0.0468198i | ||||
\(86\) | −1.95725 | + | 2.25879i | −0.211056 | + | 0.243572i | ||||
\(87\) | −2.92062 | + | 1.87697i | −0.313124 | + | 0.201232i | ||||
\(88\) | 1.25199 | + | 1.44488i | 0.133463 | + | 0.154024i | ||||
\(89\) | −9.13618 | − | 2.68262i | −0.968433 | − | 0.284358i | −0.240991 | − | 0.970527i | \(-0.577473\pi\) |
−0.727442 | + | 0.686170i | \(0.759291\pi\) | |||||||
\(90\) | −0.0566239 | + | 0.123989i | −0.00596868 | + | 0.0130696i | ||||
\(91\) | −1.62658 | −0.170512 | ||||||||
\(92\) | −0.183838 | + | 4.79231i | −0.0191665 | + | 0.499633i | ||||
\(93\) | −4.66538 | −0.483778 | ||||||||
\(94\) | −4.29067 | + | 9.39525i | −0.442548 | + | 0.969046i | ||||
\(95\) | 0.476386 | + | 0.139880i | 0.0488762 | + | 0.0143513i | ||||
\(96\) | −0.654861 | − | 0.755750i | −0.0668364 | − | 0.0771334i | ||||
\(97\) | 9.61893 | − | 6.18171i | 0.976654 | − | 0.627658i | 0.0480955 | − | 0.998843i | \(-0.484685\pi\) |
0.928559 | + | 0.371185i | \(0.121048\pi\) | |||||||
\(98\) | −0.654861 | + | 0.755750i | −0.0661509 | + | 0.0763422i | ||||
\(99\) | 0.272084 | − | 1.89238i | 0.0273454 | − | 0.190192i | ||||
\(100\) | 4.77964 | − | 1.40343i | 0.477964 | − | 0.140343i | ||||
\(101\) | −7.28337 | − | 4.68074i | −0.724722 | − | 0.465751i | 0.125554 | − | 0.992087i | \(-0.459929\pi\) |
−0.850277 | + | 0.526336i | \(0.823565\pi\) | |||||||
\(102\) | −0.455318 | − | 3.16681i | −0.0450832 | − | 0.313561i | ||||
\(103\) | −1.26110 | − | 2.76142i | −0.124260 | − | 0.272091i | 0.837271 | − | 0.546788i | \(-0.184150\pi\) |
−0.961531 | + | 0.274697i | \(0.911422\pi\) | |||||||
\(104\) | 0.675708 | + | 1.47959i | 0.0662586 | + | 0.145086i | ||||
\(105\) | −0.0193985 | − | 0.134919i | −0.00189310 | − | 0.0131668i | ||||
\(106\) | −1.70138 | − | 1.09341i | −0.165252 | − | 0.106201i | ||||
\(107\) | 9.30530 | − | 2.73228i | 0.899577 | − | 0.264140i | 0.200929 | − | 0.979606i | \(-0.435604\pi\) |
0.698647 | + | 0.715466i | \(0.253786\pi\) | |||||||
\(108\) | −0.142315 | + | 0.989821i | −0.0136943 | + | 0.0952456i | ||||
\(109\) | 9.87387 | − | 11.3950i | 0.945745 | − | 1.09145i | −0.0499496 | − | 0.998752i | \(-0.515906\pi\) |
0.995694 | − | 0.0926960i | \(-0.0295485\pi\) | |||||||
\(110\) | 0.219228 | − | 0.140889i | 0.0209026 | − | 0.0134333i | ||||
\(111\) | 4.43517 | + | 5.11846i | 0.420968 | + | 0.485823i | ||||
\(112\) | 0.959493 | + | 0.281733i | 0.0906636 | + | 0.0266212i | ||||
\(113\) | −3.37092 | + | 7.38130i | −0.317110 | + | 0.694374i | −0.999323 | − | 0.0367791i | \(-0.988290\pi\) |
0.682213 | + | 0.731153i | \(0.261017\pi\) | |||||||
\(114\) | 3.64250 | 0.341152 | ||||||||
\(115\) | 0.643009 | + | 0.117767i | 0.0599609 | + | 0.0109818i | ||||
\(116\) | −3.47175 | −0.322344 | ||||||||
\(117\) | 0.675708 | − | 1.47959i | 0.0624692 | − | 0.136788i | ||||
\(118\) | 13.7907 | + | 4.04931i | 1.26953 | + | 0.372769i | ||||
\(119\) | 2.09514 | + | 2.41792i | 0.192061 | + | 0.221651i | ||||
\(120\) | −0.114669 | + | 0.0736930i | −0.0104678 | + | 0.00672722i | ||||
\(121\) | 4.80986 | − | 5.55087i | 0.437260 | − | 0.504624i | ||||
\(122\) | −1.03867 | + | 7.22414i | −0.0940371 | + | 0.654043i | ||||
\(123\) | 10.5613 | − | 3.10107i | 0.952278 | − | 0.279614i | ||||
\(124\) | −3.92477 | − | 2.52230i | −0.352455 | − | 0.226509i | ||||
\(125\) | −0.193624 | − | 1.34669i | −0.0173183 | − | 0.120451i | ||||
\(126\) | −0.415415 | − | 0.909632i | −0.0370081 | − | 0.0810365i | ||||
\(127\) | 1.22099 | + | 2.67359i | 0.108345 | + | 0.237243i | 0.956037 | − | 0.293246i | \(-0.0947355\pi\) |
−0.847692 | + | 0.530489i | \(0.822008\pi\) | |||||||
\(128\) | −0.142315 | − | 0.989821i | −0.0125790 | − | 0.0874887i | ||||
\(129\) | 2.51435 | + | 1.61587i | 0.221376 | + | 0.142270i | ||||
\(130\) | 0.212733 | − | 0.0624642i | 0.0186580 | − | 0.00547847i | ||||
\(131\) | 2.84371 | − | 19.7784i | 0.248456 | − | 1.72805i | −0.358690 | − | 0.933457i | \(-0.616776\pi\) |
0.607145 | − | 0.794591i | \(-0.292315\pi\) | |||||||
\(132\) | 1.25199 | − | 1.44488i | 0.108972 | − | 0.125760i | ||||
\(133\) | −3.06427 | + | 1.96929i | −0.265706 | + | 0.170759i | ||||
\(134\) | −5.72362 | − | 6.60541i | −0.494445 | − | 0.570620i | ||||
\(135\) | 0.130785 | + | 0.0384020i | 0.0112562 | + | 0.00330512i | ||||
\(136\) | 1.32907 | − | 2.91025i | 0.113967 | − | 0.249552i | ||||
\(137\) | −13.6415 | −1.16547 | −0.582736 | − | 0.812661i | \(-0.698018\pi\) | ||||
−0.582736 | + | 0.812661i | \(0.698018\pi\) | |||||||
\(138\) | 4.76969 | − | 0.500049i | 0.406023 | − | 0.0425670i | ||||
\(139\) | −2.97477 | −0.252317 | −0.126158 | − | 0.992010i | \(-0.540265\pi\) | ||||
−0.126158 | + | 0.992010i | \(0.540265\pi\) | |||||||
\(140\) | 0.0566239 | − | 0.123989i | 0.00478559 | − | 0.0104790i | ||||
\(141\) | 9.91024 | + | 2.90991i | 0.834593 | + | 0.245059i | ||||
\(142\) | −2.80099 | − | 3.23252i | −0.235054 | − | 0.271267i | ||||
\(143\) | −2.61611 | + | 1.68127i | −0.218770 | + | 0.140595i | ||||
\(144\) | −0.654861 | + | 0.755750i | −0.0545717 | + | 0.0629791i | ||||
\(145\) | −0.0673466 | + | 0.468406i | −0.00559283 | + | 0.0388990i | ||||
\(146\) | 2.87643 | − | 0.844595i | 0.238055 | − | 0.0698992i | ||||
\(147\) | 0.841254 | + | 0.540641i | 0.0693854 | + | 0.0445913i | ||||
\(148\) | 0.963855 | + | 6.70376i | 0.0792284 | + | 0.551046i | ||||
\(149\) | 7.37263 | + | 16.1438i | 0.603989 | + | 1.32255i | 0.926610 | + | 0.376024i | \(0.122709\pi\) |
−0.322621 | + | 0.946528i | \(0.604564\pi\) | |||||||
\(150\) | −2.06936 | − | 4.53126i | −0.168962 | − | 0.369976i | ||||
\(151\) | −2.67149 | − | 18.5806i | −0.217403 | − | 1.51207i | −0.747573 | − | 0.664179i | \(-0.768781\pi\) |
0.530170 | − | 0.847891i | \(-0.322128\pi\) | |||||||
\(152\) | 3.06427 | + | 1.96929i | 0.248545 | + | 0.159730i | ||||
\(153\) | −3.06977 | + | 0.901367i | −0.248177 | + | 0.0728712i | ||||
\(154\) | −0.272084 | + | 1.89238i | −0.0219251 | + | 0.152493i | ||||
\(155\) | −0.416441 | + | 0.480598i | −0.0334493 | + | 0.0386026i | ||||
\(156\) | 1.36837 | − | 0.879398i | 0.109557 | − | 0.0704082i | ||||
\(157\) | −2.74049 | − | 3.16269i | −0.218715 | − | 0.252410i | 0.635780 | − | 0.771870i | \(-0.280679\pi\) |
−0.854495 | + | 0.519460i | \(0.826133\pi\) | |||||||
\(158\) | −2.05093 | − | 0.602208i | −0.163163 | − | 0.0479091i | ||||
\(159\) | −0.840148 | + | 1.83967i | −0.0666280 | + | 0.145895i | ||||
\(160\) | −0.136307 | −0.0107760 | ||||||||
\(161\) | −3.74217 | + | 2.99936i | −0.294924 | + | 0.236383i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | 8.48793 | − | 18.5860i | 0.664826 | − | 1.45577i | −0.213130 | − | 0.977024i | \(-0.568366\pi\) |
0.877956 | − | 0.478742i | \(-0.158907\pi\) | |||||||
\(164\) | 10.5613 | + | 3.10107i | 0.824697 | + | 0.242153i | ||||
\(165\) | −0.170655 | − | 0.196946i | −0.0132855 | − | 0.0153322i | ||||
\(166\) | 5.07208 | − | 3.25963i | 0.393670 | − | 0.252996i | ||||
\(167\) | −4.54145 | + | 5.24112i | −0.351428 | + | 0.405570i | −0.903750 | − | 0.428061i | \(-0.859197\pi\) |
0.552321 | + | 0.833631i | \(0.313742\pi\) | |||||||
\(168\) | 0.142315 | − | 0.989821i | 0.0109798 | − | 0.0763664i | ||||
\(169\) | 9.93480 | − | 2.91712i | 0.764216 | − | 0.224394i | ||||
\(170\) | −0.366867 | − | 0.235771i | −0.0281374 | − | 0.0180828i | ||||
\(171\) | −0.518382 | − | 3.60543i | −0.0396417 | − | 0.275714i | ||||
\(172\) | 1.24160 | + | 2.71872i | 0.0946708 | + | 0.207300i | ||||
\(173\) | 3.00735 | + | 6.58518i | 0.228645 | + | 0.500662i | 0.988831 | − | 0.149044i | \(-0.0476195\pi\) |
−0.760186 | + | 0.649706i | \(0.774892\pi\) | |||||||
\(174\) | 0.494081 | + | 3.43641i | 0.0374562 | + | 0.260514i | ||||
\(175\) | 4.19064 | + | 2.69316i | 0.316782 | + | 0.203584i | ||||
\(176\) | 1.83440 | − | 0.538629i | 0.138273 | − | 0.0406007i | ||||
\(177\) | 2.04547 | − | 14.2266i | 0.153747 | − | 1.06934i | ||||
\(178\) | −6.23551 | + | 7.19616i | −0.467371 | + | 0.539375i | ||||
\(179\) | −8.30040 | + | 5.33435i | −0.620401 | + | 0.398708i | −0.812745 | − | 0.582620i | \(-0.802028\pi\) |
0.192343 | + | 0.981328i | \(0.438391\pi\) | |||||||
\(180\) | 0.0892619 | + | 0.103014i | 0.00665319 | + | 0.00767819i | ||||
\(181\) | 18.9272 | + | 5.55753i | 1.40685 | + | 0.413088i | 0.895030 | − | 0.446007i | \(-0.147154\pi\) |
0.511818 | + | 0.859094i | \(0.328972\pi\) | |||||||
\(182\) | −0.675708 | + | 1.47959i | −0.0500868 | + | 0.109675i | ||||
\(183\) | 7.29842 | 0.539515 | ||||||||
\(184\) | 4.28287 | + | 2.15802i | 0.315737 | + | 0.159091i | ||||
\(185\) | 0.923164 | 0.0678724 | ||||||||
\(186\) | −1.93807 | + | 4.24378i | −0.142106 | + | 0.311169i | ||||
\(187\) | 5.86893 | + | 1.72327i | 0.429179 | + | 0.126018i | ||||
\(188\) | 6.76381 | + | 7.80585i | 0.493302 | + | 0.569300i | ||||
\(189\) | −0.841254 | + | 0.540641i | −0.0611922 | + | 0.0393258i | ||||
\(190\) | 0.325137 | − | 0.375228i | 0.0235879 | − | 0.0272219i | ||||
\(191\) | 3.42778 | − | 23.8408i | 0.248026 | − | 1.72506i | −0.361570 | − | 0.932345i | \(-0.617759\pi\) |
0.609596 | − | 0.792712i | \(-0.291332\pi\) | |||||||
\(192\) | −0.959493 | + | 0.281733i | −0.0692454 | + | 0.0203323i | ||||
\(193\) | −14.2128 | − | 9.13404i | −1.02306 | − | 0.657483i | −0.0823213 | − | 0.996606i | \(-0.526233\pi\) |
−0.940742 | + | 0.339123i | \(0.889870\pi\) | |||||||
\(194\) | −1.62723 | − | 11.3177i | −0.116829 | − | 0.812561i | ||||
\(195\) | −0.0921035 | − | 0.201679i | −0.00659567 | − | 0.0144425i | ||||
\(196\) | 0.415415 | + | 0.909632i | 0.0296725 | + | 0.0649737i | ||||
\(197\) | −0.929522 | − | 6.46497i | −0.0662257 | − | 0.460610i | −0.995769 | − | 0.0918960i | \(-0.970707\pi\) |
0.929543 | − | 0.368714i | \(-0.120202\pi\) | |||||||
\(198\) | −1.60835 | − | 1.03362i | −0.114300 | − | 0.0734562i | ||||
\(199\) | 22.0076 | − | 6.46202i | 1.56008 | − | 0.458080i | 0.615984 | − | 0.787758i | \(-0.288758\pi\) |
0.944093 | + | 0.329678i | \(0.106940\pi\) | |||||||
\(200\) | 0.708930 | − | 4.93072i | 0.0501289 | − | 0.348654i | ||||
\(201\) | −5.72362 | + | 6.60541i | −0.403713 | + | 0.465910i | ||||
\(202\) | −7.28337 | + | 4.68074i | −0.512456 | + | 0.329336i | ||||
\(203\) | −2.27351 | − | 2.62377i | −0.159569 | − | 0.184153i | ||||
\(204\) | −3.06977 | − | 0.901367i | −0.214927 | − | 0.0631083i | ||||
\(205\) | 0.623267 | − | 1.36476i | 0.0435308 | − | 0.0953193i | ||||
\(206\) | −3.03576 | −0.211511 | ||||||||
\(207\) | −1.17376 | − | 4.64998i | −0.0815818 | − | 0.323196i | ||||
\(208\) | 1.62658 | 0.112783 | ||||||||
\(209\) | −2.89291 | + | 6.33458i | −0.200107 | + | 0.438172i | ||||
\(210\) | −0.130785 | − | 0.0384020i | −0.00902505 | − | 0.00264999i | ||||
\(211\) | 11.4965 | + | 13.2676i | 0.791450 | + | 0.913382i | 0.997880 | − | 0.0650791i | \(-0.0207300\pi\) |
−0.206430 | + | 0.978461i | \(0.566185\pi\) | |||||||
\(212\) | −1.70138 | + | 1.09341i | −0.116851 | + | 0.0750956i | ||||
\(213\) | −2.80099 | + | 3.23252i | −0.191921 | + | 0.221488i | ||||
\(214\) | 1.38019 | − | 9.59943i | 0.0943478 | − | 0.656203i | ||||
\(215\) | 0.390892 | − | 0.114776i | 0.0266586 | − | 0.00782768i | ||||
\(216\) | 0.841254 | + | 0.540641i | 0.0572401 | + | 0.0367859i | ||||
\(217\) | −0.663953 | − | 4.61789i | −0.0450721 | − | 0.313483i | ||||
\(218\) | −6.26355 | − | 13.7153i | −0.424221 | − | 0.928915i | ||||
\(219\) | −1.24536 | − | 2.72695i | −0.0841534 | − | 0.184270i | ||||
\(220\) | −0.0370868 | − | 0.257945i | −0.00250039 | − | 0.0173906i | ||||
\(221\) | 4.37792 | + | 2.81352i | 0.294491 | + | 0.189258i | ||||
\(222\) | 6.49835 | − | 1.90809i | 0.436141 | − | 0.128063i | ||||
\(223\) | −0.163799 | + | 1.13925i | −0.0109688 | + | 0.0762898i | −0.994571 | − | 0.104064i | \(-0.966815\pi\) |
0.983602 | + | 0.180354i | \(0.0577243\pi\) | |||||||
\(224\) | 0.654861 | − | 0.755750i | 0.0437547 | − | 0.0504956i | ||||
\(225\) | −4.19064 | + | 2.69316i | −0.279376 | + | 0.179544i | ||||
\(226\) | 5.31393 | + | 6.13260i | 0.353477 | + | 0.407935i | ||||
\(227\) | 12.9620 | + | 3.80600i | 0.860320 | + | 0.252613i | 0.681993 | − | 0.731358i | \(-0.261113\pi\) |
0.178327 | + | 0.983971i | \(0.442931\pi\) | |||||||
\(228\) | 1.51315 | − | 3.31334i | 0.100211 | − | 0.219431i | ||||
\(229\) | −12.0292 | −0.794912 | −0.397456 | − | 0.917621i | \(-0.630107\pi\) | ||||
−0.397456 | + | 0.917621i | \(0.630107\pi\) | |||||||
\(230\) | 0.374240 | − | 0.535979i | 0.0246766 | − | 0.0353414i | ||||
\(231\) | 1.91184 | 0.125790 | ||||||||
\(232\) | −1.44222 | + | 3.15801i | −0.0946862 | + | 0.207334i | ||||
\(233\) | −14.3084 | − | 4.20133i | −0.937376 | − | 0.275238i | −0.222854 | − | 0.974852i | \(-0.571537\pi\) |
−0.714522 | + | 0.699613i | \(0.753356\pi\) | |||||||
\(234\) | −1.06519 | − | 1.22929i | −0.0696334 | − | 0.0803613i | ||||
\(235\) | 1.18437 | − | 0.761147i | 0.0772596 | − | 0.0496518i | ||||
\(236\) | 9.41223 | − | 10.8623i | 0.612684 | − | 0.707075i | ||||
\(237\) | −0.304200 | + | 2.11576i | −0.0197599 | + | 0.137433i | ||||
\(238\) | 3.06977 | − | 0.901367i | 0.198984 | − | 0.0584269i | ||||
\(239\) | −9.18292 | − | 5.90151i | −0.593994 | − | 0.381737i | 0.208831 | − | 0.977952i | \(-0.433034\pi\) |
−0.802825 | + | 0.596215i | \(0.796671\pi\) | |||||||
\(240\) | 0.0193985 | + | 0.134919i | 0.00125217 | + | 0.00870900i | ||||
\(241\) | 7.01909 | + | 15.3697i | 0.452139 | + | 0.990047i | 0.989209 | + | 0.146510i | \(0.0468039\pi\) |
−0.537070 | + | 0.843538i | \(0.680469\pi\) | |||||||
\(242\) | −3.05116 | − | 6.68111i | −0.196136 | − | 0.429478i | ||||
\(243\) | −0.142315 | − | 0.989821i | −0.00912950 | − | 0.0634971i | ||||
\(244\) | 6.13982 | + | 3.94583i | 0.393062 | + | 0.252606i | ||||
\(245\) | 0.130785 | − | 0.0384020i | 0.00835557 | − | 0.00245342i | ||||
\(246\) | 1.56648 | − | 10.8951i | 0.0998751 | − | 0.694647i | ||||
\(247\) | −3.87994 | + | 4.47769i | −0.246875 | + | 0.284909i | ||||
\(248\) | −3.92477 | + | 2.52230i | −0.249223 | + | 0.160166i | ||||
\(249\) | −3.94828 | − | 4.55656i | −0.250212 | − | 0.288760i | ||||
\(250\) | −1.30542 | − | 0.383307i | −0.0825622 | − | 0.0242425i | ||||
\(251\) | 1.51969 | − | 3.32766i | 0.0959221 | − | 0.210040i | −0.855588 | − | 0.517657i | \(-0.826804\pi\) |
0.951510 | + | 0.307617i | \(0.0995316\pi\) | |||||||
\(252\) | −1.00000 | −0.0629941 | ||||||||
\(253\) | −2.91851 | + | 8.69199i | −0.183485 | + | 0.546461i | ||||
\(254\) | 2.93920 | 0.184422 | ||||||||
\(255\) | −0.181161 | + | 0.396687i | −0.0113447 | + | 0.0248415i | ||||
\(256\) | −0.959493 | − | 0.281733i | −0.0599683 | − | 0.0176083i | ||||
\(257\) | −14.1030 | − | 16.2758i | −0.879722 | − | 1.01525i | −0.999747 | − | 0.0224828i | \(-0.992843\pi\) |
0.120025 | − | 0.992771i | \(-0.461703\pi\) | |||||||
\(258\) | 2.51435 | − | 1.61587i | 0.156536 | − | 0.100600i | ||||
\(259\) | −4.43517 | + | 5.11846i | −0.275588 | + | 0.318046i | ||||
\(260\) | 0.0315533 | − | 0.219458i | 0.00195685 | − | 0.0136102i | ||||
\(261\) | 3.33112 | − | 0.978105i | 0.206191 | − | 0.0605432i | ||||
\(262\) | −16.8098 | − | 10.8030i | −1.03851 | − | 0.667410i | ||||
\(263\) | −1.53584 | − | 10.6820i | −0.0947040 | − | 0.658681i | −0.980777 | − | 0.195134i | \(-0.937486\pi\) |
0.886073 | − | 0.463547i | \(-0.153423\pi\) | |||||||
\(264\) | −0.794209 | − | 1.73907i | −0.0488802 | − | 0.107033i | ||||
\(265\) | 0.114518 | + | 0.250759i | 0.00703477 | + | 0.0154040i | ||||
\(266\) | 0.518382 | + | 3.60543i | 0.0317840 | + | 0.221063i | ||||
\(267\) | 8.01032 | + | 5.14792i | 0.490223 | + | 0.315047i | ||||
\(268\) | −8.38617 | + | 2.46240i | −0.512267 | + | 0.150415i | ||||
\(269\) | −2.98997 | + | 20.7957i | −0.182302 | + | 1.26794i | 0.669001 | + | 0.743261i | \(0.266722\pi\) |
−0.851303 | + | 0.524675i | \(0.824187\pi\) | |||||||
\(270\) | 0.0892619 | − | 0.103014i | 0.00543231 | − | 0.00626922i | ||||
\(271\) | 4.02078 | − | 2.58400i | 0.244245 | − | 0.156967i | −0.412791 | − | 0.910826i | \(-0.635446\pi\) |
0.657036 | + | 0.753859i | \(0.271810\pi\) | |||||||
\(272\) | −2.09514 | − | 2.41792i | −0.127037 | − | 0.146608i | ||||
\(273\) | 1.56070 | + | 0.458262i | 0.0944577 | + | 0.0277353i | ||||
\(274\) | −5.66689 | + | 12.4088i | −0.342349 | + | 0.749640i | ||||
\(275\) | 9.52370 | 0.574301 | ||||||||
\(276\) | 1.52654 | − | 4.54639i | 0.0918869 | − | 0.273661i | ||||
\(277\) | 24.1777 | 1.45270 | 0.726348 | − | 0.687327i | \(-0.241216\pi\) | ||||
0.726348 | + | 0.687327i | \(0.241216\pi\) | |||||||
\(278\) | −1.23576 | + | 2.70594i | −0.0741162 | + | 0.162292i | ||||
\(279\) | 4.47640 | + | 1.31439i | 0.267995 | + | 0.0786905i | ||||
\(280\) | −0.0892619 | − | 0.103014i | −0.00533442 | − | 0.00615625i | ||||
\(281\) | 17.8692 | − | 11.4838i | 1.06599 | − | 0.685069i | 0.114709 | − | 0.993399i | \(-0.463407\pi\) |
0.951279 | + | 0.308330i | \(0.0997702\pi\) | |||||||
\(282\) | 6.76381 | − | 7.80585i | 0.402779 | − | 0.464832i | ||||
\(283\) | 0.881887 | − | 6.13366i | 0.0524227 | − | 0.364608i | −0.946677 | − | 0.322184i | \(-0.895583\pi\) |
0.999100 | − | 0.0424239i | \(-0.0135080\pi\) | |||||||
\(284\) | −4.10397 | + | 1.20504i | −0.243526 | + | 0.0715057i | ||||
\(285\) | −0.417680 | − | 0.268427i | −0.0247412 | − | 0.0159002i | ||||
\(286\) | 0.442567 | + | 3.07812i | 0.0261696 | + | 0.182013i | ||||
\(287\) | 4.57253 | + | 10.0124i | 0.269908 | + | 0.591016i | ||||
\(288\) | 0.415415 | + | 0.909632i | 0.0244786 | + | 0.0536006i | ||||
\(289\) | 0.962621 | + | 6.69518i | 0.0566248 | + | 0.393834i | ||||
\(290\) | 0.398100 | + | 0.255844i | 0.0233773 | + | 0.0150237i | ||||
\(291\) | −10.9709 | + | 3.22134i | −0.643125 | + | 0.188838i | ||||
\(292\) | 0.426640 | − | 2.96735i | 0.0249672 | − | 0.173651i | ||||
\(293\) | −4.77665 | + | 5.51255i | −0.279055 | + | 0.322046i | −0.877924 | − | 0.478801i | \(-0.841072\pi\) |
0.598869 | + | 0.800847i | \(0.295617\pi\) | |||||||
\(294\) | 0.841254 | − | 0.540641i | 0.0490629 | − | 0.0315308i | ||||
\(295\) | −1.28295 | − | 1.48060i | −0.0746963 | − | 0.0862041i | ||||
\(296\) | 6.49835 | + | 1.90809i | 0.377709 | + | 0.110905i | ||||
\(297\) | −0.794209 | + | 1.73907i | −0.0460847 | + | 0.100911i | ||||
\(298\) | 17.7476 | 1.02809 | ||||||||
\(299\) | −4.46590 | + | 6.39598i | −0.258270 | + | 0.369889i | ||||
\(300\) | −4.98142 | −0.287602 | ||||||||
\(301\) | −1.24160 | + | 2.71872i | −0.0715644 | + | 0.156704i | ||||
\(302\) | −18.0113 | − | 5.28860i | −1.03643 | − | 0.304325i | ||||
\(303\) | 5.66963 | + | 6.54310i | 0.325712 | + | 0.375891i | ||||
\(304\) | 3.06427 | − | 1.96929i | 0.175748 | − | 0.112946i | ||||
\(305\) | 0.651471 | − | 0.751838i | 0.0373031 | − | 0.0430501i | ||||
\(306\) | −0.455318 | + | 3.16681i | −0.0260288 | + | 0.181034i | ||||
\(307\) | −9.57993 | + | 2.81292i | −0.546755 | + | 0.160542i | −0.543433 | − | 0.839453i | \(-0.682876\pi\) |
−0.00332253 | + | 0.999994i | \(0.501058\pi\) | |||||||
\(308\) | 1.60835 | + | 1.03362i | 0.0916440 | + | 0.0588960i | ||||
\(309\) | 0.432034 | + | 3.00486i | 0.0245775 | + | 0.170941i | ||||
\(310\) | 0.264172 | + | 0.578456i | 0.0150040 | + | 0.0328541i | ||||
\(311\) | 6.29915 | + | 13.7932i | 0.357192 | + | 0.782142i | 0.999872 | + | 0.0160069i | \(0.00509537\pi\) |
−0.642680 | + | 0.766135i | \(0.722177\pi\) | |||||||
\(312\) | −0.231487 | − | 1.61003i | −0.0131054 | − | 0.0911499i | ||||
\(313\) | −9.13455 | − | 5.87042i | −0.516315 | − | 0.331816i | 0.256398 | − | 0.966571i | \(-0.417464\pi\) |
−0.772713 | + | 0.634756i | \(0.781101\pi\) | |||||||
\(314\) | −4.01533 | + | 1.17901i | −0.226598 | + | 0.0665352i | ||||
\(315\) | −0.0193985 | + | 0.134919i | −0.00109298 | + | 0.00760184i | ||||
\(316\) | −1.39977 | + | 1.61543i | −0.0787435 | + | 0.0908748i | ||||
\(317\) | −11.4290 | + | 7.34500i | −0.641919 | + | 0.412537i | −0.820706 | − | 0.571351i | \(-0.806419\pi\) |
0.178786 | + | 0.983888i | \(0.442783\pi\) | |||||||
\(318\) | 1.32441 | + | 1.52845i | 0.0742692 | + | 0.0857112i | ||||
\(319\) | −6.36858 | − | 1.86998i | −0.356572 | − | 0.104699i | ||||
\(320\) | −0.0566239 | + | 0.123989i | −0.00316537 | + | 0.00693119i | ||||
\(321\) | −9.69814 | −0.541297 | ||||||||
\(322\) | 1.17376 | + | 4.64998i | 0.0654109 | + | 0.259133i | ||||
\(323\) | 11.6537 | 0.648430 | ||||||||
\(324\) | 0.415415 | − | 0.909632i | 0.0230786 | − | 0.0505351i | ||||
\(325\) | 7.77449 | + | 2.28280i | 0.431251 | + | 0.126627i | ||||
\(326\) | −13.3804 | − | 15.4418i | −0.741071 | − | 0.855241i | ||||
\(327\) | −12.6843 | + | 8.15168i | −0.701441 | + | 0.450789i | ||||
\(328\) | 7.20815 | − | 8.31864i | 0.398003 | − | 0.459320i | ||||
\(329\) | −1.46992 | + | 10.2235i | −0.0810391 | + | 0.563639i | ||||
\(330\) | −0.250041 | + | 0.0734187i | −0.0137643 | + | 0.00404157i | ||||
\(331\) | −10.1487 | − | 6.52219i | −0.557825 | − | 0.358492i | 0.231150 | − | 0.972918i | \(-0.425751\pi\) |
−0.788974 | + | 0.614426i | \(0.789388\pi\) | |||||||
\(332\) | −0.858044 | − | 5.96783i | −0.0470913 | − | 0.327527i | ||||
\(333\) | −2.81348 | − | 6.16066i | −0.154178 | − | 0.337602i | ||||
\(334\) | 2.88090 | + | 6.30829i | 0.157636 | + | 0.345174i | ||||
\(335\) | 0.169547 | + | 1.17922i | 0.00926332 | + | 0.0644278i | ||||
\(336\) | −0.841254 | − | 0.540641i | −0.0458941 | − | 0.0294944i | ||||
\(337\) | −19.4225 | + | 5.70295i | −1.05801 | + | 0.310659i | −0.764049 | − | 0.645158i | \(-0.776791\pi\) |
−0.293960 | + | 0.955818i | \(0.594973\pi\) | |||||||
\(338\) | 1.47356 | − | 10.2488i | 0.0801511 | − | 0.557463i | ||||
\(339\) | 5.31393 | − | 6.13260i | 0.288613 | − | 0.333077i | ||||
\(340\) | −0.366867 | + | 0.235771i | −0.0198962 | + | 0.0127865i | ||||
\(341\) | −5.84102 | − | 6.74090i | −0.316309 | − | 0.365040i | ||||
\(342\) | −3.49496 | − | 1.02621i | −0.188986 | − | 0.0554912i | ||||
\(343\) | −0.415415 | + | 0.909632i | −0.0224303 | + | 0.0491155i | ||||
\(344\) | 2.98881 | 0.161146 | ||||||||
\(345\) | −0.583783 | − | 0.294153i | −0.0314298 | − | 0.0158367i | ||||
\(346\) | 7.23939 | 0.389192 | ||||||||
\(347\) | 1.11610 | − | 2.44393i | 0.0599156 | − | 0.131197i | −0.877306 | − | 0.479932i | \(-0.840661\pi\) |
0.937221 | + | 0.348735i | \(0.113389\pi\) | |||||||
\(348\) | 3.33112 | + | 0.978105i | 0.178567 | + | 0.0524319i | ||||
\(349\) | −2.87655 | − | 3.31971i | −0.153978 | − | 0.177700i | 0.673520 | − | 0.739169i | \(-0.264782\pi\) |
−0.827498 | + | 0.561469i | \(0.810236\pi\) | |||||||
\(350\) | 4.19064 | − | 2.69316i | 0.223999 | − | 0.143955i | ||||
\(351\) | −1.06519 | + | 1.22929i | −0.0568555 | + | 0.0656147i | ||||
\(352\) | 0.272084 | − | 1.89238i | 0.0145021 | − | 0.100864i | ||||
\(353\) | 12.8939 | − | 3.78600i | 0.686275 | − | 0.201509i | 0.0800373 | − | 0.996792i | \(-0.474496\pi\) |
0.606238 | + | 0.795283i | \(0.292678\pi\) | |||||||
\(354\) | −12.0912 | − | 7.77056i | −0.642642 | − | 0.413001i | ||||
\(355\) | 0.0829718 | + | 0.577081i | 0.00440368 | + | 0.0306283i | ||||
\(356\) | 3.95553 | + | 8.66141i | 0.209643 | + | 0.459054i | ||||
\(357\) | −1.32907 | − | 2.91025i | −0.0703417 | − | 0.154027i | ||||
\(358\) | 1.40418 | + | 9.76628i | 0.0742132 | + | 0.516164i | ||||
\(359\) | 6.21033 | + | 3.99114i | 0.327769 | + | 0.210644i | 0.694167 | − | 0.719814i | \(-0.255773\pi\) |
−0.366398 | + | 0.930458i | \(0.619409\pi\) | |||||||
\(360\) | 0.130785 | − | 0.0384020i | 0.00689299 | − | 0.00202397i | ||||
\(361\) | 0.815774 | − | 5.67383i | 0.0429355 | − | 0.298623i | ||||
\(362\) | 12.9179 | − | 14.9081i | 0.678952 | − | 0.783552i | ||||
\(363\) | −6.17888 | + | 3.97093i | −0.324307 | + | 0.208420i | ||||
\(364\) | 1.06519 | + | 1.22929i | 0.0558309 | + | 0.0644323i | ||||
\(365\) | −0.392076 | − | 0.115124i | −0.0205222 | − | 0.00602586i | ||||
\(366\) | 3.03187 | − | 6.63888i | 0.158479 | − | 0.347020i | ||||
\(367\) | −12.3711 | −0.645767 | −0.322884 | − | 0.946439i | \(-0.604652\pi\) | ||||
−0.322884 | + | 0.946439i | \(0.604652\pi\) | |||||||
\(368\) | 3.74217 | − | 2.99936i | 0.195074 | − | 0.156352i | ||||
\(369\) | −11.0071 | −0.573009 | ||||||||
\(370\) | 0.383496 | − | 0.839739i | 0.0199370 | − | 0.0436560i | ||||
\(371\) | −1.94051 | − | 0.569784i | −0.100746 | − | 0.0295817i | ||||
\(372\) | 3.05518 | + | 3.52586i | 0.158403 | + | 0.182807i | ||||
\(373\) | 11.3226 | − | 7.27659i | 0.586262 | − | 0.376767i | −0.213628 | − | 0.976915i | \(-0.568528\pi\) |
0.799889 | + | 0.600148i | \(0.204892\pi\) | |||||||
\(374\) | 4.00559 | − | 4.62269i | 0.207124 | − | 0.239034i | ||||
\(375\) | −0.193624 | + | 1.34669i | −0.00999871 | + | 0.0695426i | ||||
\(376\) | 9.91024 | − | 2.90991i | 0.511082 | − | 0.150067i | ||||
\(377\) | −4.75064 | − | 3.05305i | −0.244670 | − | 0.157240i | ||||
\(378\) | 0.142315 | + | 0.989821i | 0.00731989 | + | 0.0509109i | ||||
\(379\) | 9.28290 | + | 20.3267i | 0.476831 | + | 1.04411i | 0.983323 | + | 0.181869i | \(0.0582146\pi\) |
−0.506492 | + | 0.862245i | \(0.669058\pi\) | |||||||
\(380\) | −0.206253 | − | 0.451630i | −0.0105805 | − | 0.0231681i | ||||
\(381\) | −0.418292 | − | 2.90929i | −0.0214298 | − | 0.149047i | ||||
\(382\) | −20.2624 | − | 13.0218i | −1.03671 | − | 0.666255i | ||||
\(383\) | 11.0253 | − | 3.23731i | 0.563364 | − | 0.165419i | 0.0123637 | − | 0.999924i | \(-0.496064\pi\) |
0.551000 | + | 0.834505i | \(0.314246\pi\) | |||||||
\(384\) | −0.142315 | + | 0.989821i | −0.00726247 | + | 0.0505116i | ||||
\(385\) | 0.170655 | − | 0.196946i | 0.00869738 | − | 0.0100373i | ||||
\(386\) | −14.2128 | + | 9.13404i | −0.723415 | + | 0.464911i | ||||
\(387\) | −1.95725 | − | 2.25879i | −0.0994928 | − | 0.114821i | ||||
\(388\) | −10.9709 | − | 3.22134i | −0.556962 | − | 0.163539i | ||||
\(389\) | −7.60829 | + | 16.6598i | −0.385755 | + | 0.844686i | 0.612763 | + | 0.790267i | \(0.290058\pi\) |
−0.998518 | + | 0.0544195i | \(0.982669\pi\) | |||||||
\(390\) | −0.221714 | −0.0112269 | ||||||||
\(391\) | 15.2600 | − | 1.59984i | 0.771732 | − | 0.0809075i | ||||
\(392\) | 1.00000 | 0.0505076 | ||||||||
\(393\) | −8.30074 | + | 18.1761i | −0.418717 | + | 0.916862i | ||||
\(394\) | −6.26688 | − | 1.84012i | −0.315721 | − | 0.0927040i | ||||
\(395\) | 0.190799 | + | 0.220193i | 0.00960012 | + | 0.0110791i | ||||
\(396\) | −1.60835 | + | 1.03362i | −0.0808224 | + | 0.0519414i | ||||
\(397\) | −3.93548 | + | 4.54179i | −0.197516 | + | 0.227946i | −0.845864 | − | 0.533398i | \(-0.820915\pi\) |
0.648348 | + | 0.761344i | \(0.275460\pi\) | |||||||
\(398\) | 3.26423 | − | 22.7032i | 0.163621 | − | 1.13801i | ||||
\(399\) | 3.49496 | − | 1.02621i | 0.174967 | − | 0.0513748i | ||||
\(400\) | −4.19064 | − | 2.69316i | −0.209532 | − | 0.134658i | ||||
\(401\) | 2.47761 | + | 17.2322i | 0.123726 | + | 0.860534i | 0.953276 | + | 0.302101i | \(0.0976881\pi\) |
−0.829550 | + | 0.558433i | \(0.811403\pi\) | |||||||
\(402\) | 3.63081 | + | 7.95037i | 0.181088 | + | 0.396528i | ||||
\(403\) | −3.15243 | − | 6.90287i | −0.157034 | − | 0.343856i | ||||
\(404\) | 1.23213 | + | 8.56964i | 0.0613006 | + | 0.426355i | ||||
\(405\) | −0.114669 | − | 0.0736930i | −0.00569792 | − | 0.00366183i | ||||
\(406\) | −3.33112 | + | 0.978105i | −0.165321 | + | 0.0485425i | ||||
\(407\) | −1.84274 | + | 12.8165i | −0.0913413 | + | 0.635292i | ||||
\(408\) | −2.09514 | + | 2.41792i | −0.103725 | + | 0.119705i | ||||
\(409\) | −21.5325 | + | 13.8381i | −1.06471 | + | 0.684250i | −0.950977 | − | 0.309261i | \(-0.899918\pi\) |
−0.113737 | + | 0.993511i | \(0.536282\pi\) | |||||||
\(410\) | −0.982519 | − | 1.13389i | −0.0485231 | − | 0.0559987i | ||||
\(411\) | 13.0889 | + | 3.84326i | 0.645629 | + | 0.189574i | ||||
\(412\) | −1.26110 | + | 2.76142i | −0.0621300 | + | 0.136046i | ||||
\(413\) | 14.3729 | 0.707243 | ||||||||
\(414\) | −4.71737 | − | 0.863983i | −0.231846 | − | 0.0424625i | ||||
\(415\) | −0.821820 | −0.0403416 | ||||||||
\(416\) | 0.675708 | − | 1.47959i | 0.0331293 | − | 0.0725430i | ||||
\(417\) | 2.85427 | + | 0.838089i | 0.139774 | + | 0.0410414i | ||||
\(418\) | 4.56038 | + | 5.26296i | 0.223056 | + | 0.257420i | ||||
\(419\) | 7.34248 | − | 4.71872i | 0.358704 | − | 0.230525i | −0.348859 | − | 0.937175i | \(-0.613431\pi\) |
0.707563 | + | 0.706650i | \(0.249795\pi\) | |||||||
\(420\) | −0.0892619 | + | 0.103014i | −0.00435554 | + | 0.00502656i | ||||
\(421\) | 4.02540 | − | 27.9973i | 0.196186 | − | 1.36450i | −0.619039 | − | 0.785360i | \(-0.712478\pi\) |
0.815225 | − | 0.579144i | \(-0.196613\pi\) | |||||||
\(422\) | 16.8445 | − | 4.94599i | 0.819977 | − | 0.240767i | ||||
\(423\) | −8.68899 | − | 5.58408i | −0.422473 | − | 0.271507i | ||||
\(424\) | 0.287822 | + | 2.00184i | 0.0139779 | + | 0.0972181i | ||||
\(425\) | −6.62064 | − | 14.4972i | −0.321148 | − | 0.703216i | ||||
\(426\) | 1.77683 | + | 3.89071i | 0.0860875 | + | 0.188505i | ||||
\(427\) | 1.03867 | + | 7.22414i | 0.0502650 | + | 0.349600i | ||||
\(428\) | −8.15859 | − | 5.24321i | −0.394360 | − | 0.253440i | ||||
\(429\) | 2.98381 | − | 0.876125i | 0.144060 | − | 0.0422997i | ||||
\(430\) | 0.0579783 | − | 0.403248i | 0.00279596 | − | 0.0194463i | ||||
\(431\) | 17.1618 | − | 19.8058i | 0.826655 | − | 0.954011i | −0.172866 | − | 0.984945i | \(-0.555303\pi\) |
0.999521 | + | 0.0309345i | \(0.00984832\pi\) | |||||||
\(432\) | 0.841254 | − | 0.540641i | 0.0404748 | − | 0.0260116i | ||||
\(433\) | 14.4486 | + | 16.6746i | 0.694357 | + | 0.801330i | 0.987979 | − | 0.154591i | \(-0.0494061\pi\) |
−0.293622 | + | 0.955922i | \(0.594861\pi\) | |||||||
\(434\) | −4.47640 | − | 1.31439i | −0.214874 | − | 0.0630927i | ||||
\(435\) | 0.196584 | − | 0.430459i | 0.00942547 | − | 0.0206389i | ||||
\(436\) | −15.0778 | −0.722096 | ||||||||
\(437\) | −0.669631 | + | 17.4560i | −0.0320328 | + | 0.835033i | ||||
\(438\) | −2.99786 | −0.143243 | ||||||||
\(439\) | −14.2215 | + | 31.1408i | −0.678757 | + | 1.48627i | 0.185198 | + | 0.982701i | \(0.440707\pi\) |
−0.863955 | + | 0.503569i | \(0.832020\pi\) | |||||||
\(440\) | −0.250041 | − | 0.0734187i | −0.0119202 | − | 0.00350010i | ||||
\(441\) | −0.654861 | − | 0.755750i | −0.0311838 | − | 0.0359881i | ||||
\(442\) | 4.37792 | − | 2.81352i | 0.208237 | − | 0.133826i | ||||
\(443\) | −18.0134 | + | 20.7886i | −0.855844 | + | 0.987697i | −0.999998 | − | 0.00185838i | \(-0.999408\pi\) |
0.144154 | + | 0.989555i | \(0.453954\pi\) | |||||||
\(444\) | 0.963855 | − | 6.70376i | 0.0457425 | − | 0.318146i | ||||
\(445\) | 1.24532 | − | 0.365660i | 0.0590340 | − | 0.0173339i | ||||
\(446\) | 0.968253 | + | 0.622258i | 0.0458481 | + | 0.0294648i | ||||
\(447\) | −2.52575 | − | 17.5670i | −0.119464 | − | 0.830890i | ||||
\(448\) | −0.415415 | − | 0.909632i | −0.0196265 | − | 0.0429761i | ||||
\(449\) | 8.71756 | + | 19.0888i | 0.411407 | + | 0.900856i | 0.995985 | + | 0.0895187i | \(0.0285329\pi\) |
−0.584578 | + | 0.811338i | \(0.698740\pi\) | |||||||
\(450\) | 0.708930 | + | 4.93072i | 0.0334193 | + | 0.232436i | ||||
\(451\) | 17.7033 | + | 11.3772i | 0.833615 | + | 0.535732i | ||||
\(452\) | 7.78590 | − | 2.28615i | 0.366218 | − | 0.107531i | ||||
\(453\) | −2.67149 | + | 18.5806i | −0.125518 | + | 0.872994i | ||||
\(454\) | 8.84668 | − | 10.2096i | 0.415195 | − | 0.479161i | ||||
\(455\) | 0.186518 | − | 0.119868i | 0.00874410 | − | 0.00561949i | ||||
\(456\) | −2.38533 | − | 2.75282i | −0.111703 | − | 0.128913i | ||||
\(457\) | −17.7720 | − | 5.21832i | −0.831338 | − | 0.244103i | −0.161746 | − | 0.986832i | \(-0.551713\pi\) |
−0.669592 | + | 0.742729i | \(0.733531\pi\) | |||||||
\(458\) | −4.99711 | + | 10.9421i | −0.233500 | + | 0.511293i | ||||
\(459\) | 3.19937 | 0.149334 | ||||||||
\(460\) | −0.332079 | − | 0.563074i | −0.0154833 | − | 0.0262535i | ||||
\(461\) | −21.8897 | −1.01951 | −0.509753 | − | 0.860321i | \(-0.670263\pi\) | ||||
−0.509753 | + | 0.860321i | \(0.670263\pi\) | |||||||
\(462\) | 0.794209 | − | 1.73907i | 0.0369499 | − | 0.0809091i | ||||
\(463\) | 7.90548 | + | 2.32126i | 0.367399 | + | 0.107878i | 0.460220 | − | 0.887805i | \(-0.347770\pi\) |
−0.0928215 | + | 0.995683i | \(0.529589\pi\) | |||||||
\(464\) | 2.27351 | + | 2.62377i | 0.105545 | + | 0.121806i | ||||
\(465\) | 0.534972 | − | 0.343806i | 0.0248087 | − | 0.0159436i | ||||
\(466\) | −9.76560 | + | 11.2701i | −0.452383 | + | 0.522077i | ||||
\(467\) | 5.88751 | − | 40.9486i | 0.272442 | − | 1.89487i | −0.150329 | − | 0.988636i | \(-0.548033\pi\) |
0.422770 | − | 0.906237i | \(-0.361058\pi\) | |||||||
\(468\) | −1.56070 | + | 0.458262i | −0.0721432 | + | 0.0211832i | ||||
\(469\) | −7.35273 | − | 4.72531i | −0.339518 | − | 0.218195i | ||||
\(470\) | −0.200359 | − | 1.39353i | −0.00924189 | − | 0.0642788i | ||||
\(471\) | 1.73845 | + | 3.80667i | 0.0801034 | + | 0.175402i | ||||
\(472\) | −5.97071 | − | 13.0740i | −0.274824 | − | 0.601781i | ||||
\(473\) | 0.813206 | + | 5.65597i | 0.0373913 | + | 0.260062i | ||||
\(474\) | 1.79819 | + | 1.15563i | 0.0825937 | + | 0.0530797i | ||||
\(475\) | 17.4098 | − | 5.11199i | 0.798818 | − | 0.234554i | ||||
\(476\) | 0.455318 | − | 3.16681i | 0.0208695 | − | 0.145150i | ||||
\(477\) | 1.32441 | − | 1.52845i | 0.0606406 | − | 0.0699829i | ||||
\(478\) | −9.18292 | + | 5.90151i | −0.420017 | + | 0.269929i | ||||
\(479\) | 1.60659 | + | 1.85410i | 0.0734070 | + | 0.0847162i | 0.791265 | − | 0.611473i | \(-0.209423\pi\) |
−0.717858 | + | 0.696189i | \(0.754877\pi\) | |||||||
\(480\) | 0.130785 | + | 0.0384020i | 0.00596951 | + | 0.00175281i | ||||
\(481\) | −4.57636 | + | 10.0208i | −0.208664 | + | 0.456911i | ||||
\(482\) | 16.8966 | 0.769618 | ||||||||
\(483\) | 4.43560 | − | 1.82357i | 0.201827 | − | 0.0829754i | ||||
\(484\) | −7.34485 | −0.333857 | ||||||||
\(485\) | −0.647440 | + | 1.41770i | −0.0293987 | + | 0.0643742i | ||||
\(486\) | −0.959493 | − | 0.281733i | −0.0435235 | − | 0.0127796i | ||||
\(487\) | −10.9280 | − | 12.6116i | −0.495197 | − | 0.571487i | 0.452050 | − | 0.891993i | \(-0.350693\pi\) |
−0.947247 | + | 0.320505i | \(0.896147\pi\) | |||||||
\(488\) | 6.13982 | − | 3.94583i | 0.277937 | − | 0.178619i | ||||
\(489\) | −13.3804 | + | 15.4418i | −0.605082 | + | 0.698302i | ||||
\(490\) | 0.0193985 | − | 0.134919i | 0.000876333 | − | 0.00609503i | ||||
\(491\) | 18.2475 | − | 5.35795i | 0.823499 | − | 0.241801i | 0.157277 | − | 0.987555i | \(-0.449729\pi\) |
0.666222 | + | 0.745754i | \(0.267910\pi\) | |||||||
\(492\) | −9.25980 | − | 5.95091i | −0.417464 | − | 0.268288i | ||||
\(493\) | 1.58075 | + | 10.9944i | 0.0711934 | + | 0.495161i | ||||
\(494\) | 2.46127 | + | 5.38942i | 0.110738 | + | 0.242482i | ||||
\(495\) | 0.108256 | + | 0.237048i | 0.00486574 | + | 0.0106545i | ||||
\(496\) | 0.663953 | + | 4.61789i | 0.0298124 | + | 0.207350i | ||||
\(497\) | −3.59824 | − | 2.31245i | −0.161403 | − | 0.103727i | ||||
\(498\) | −5.78497 | + | 1.69862i | −0.259231 | + | 0.0761170i | ||||
\(499\) | −2.66547 | + | 18.5388i | −0.119323 | + | 0.829910i | 0.838981 | + | 0.544160i | \(0.183152\pi\) |
−0.958304 | + | 0.285749i | \(0.907757\pi\) | |||||||
\(500\) | −0.890961 | + | 1.02822i | −0.0398450 | + | 0.0459836i | ||||
\(501\) | 5.83409 | − | 3.74934i | 0.260648 | − | 0.167508i | ||||
\(502\) | −2.39564 | − | 2.76472i | −0.106923 | − | 0.123396i | ||||
\(503\) | −28.0139 | − | 8.22563i | −1.24908 | − | 0.366763i | −0.410660 | − | 0.911789i | \(-0.634702\pi\) |
−0.838419 | + | 0.545026i | \(0.816520\pi\) | |||||||
\(504\) | −0.415415 | + | 0.909632i | −0.0185041 | + | 0.0405182i | ||||
\(505\) | 1.18011 | 0.0525142 | ||||||||
\(506\) | 6.69412 | + | 6.26555i | 0.297590 | + | 0.278538i | ||||
\(507\) | −10.3542 | −0.459847 | ||||||||
\(508\) | 1.22099 | − | 2.67359i | 0.0541726 | − | 0.118622i | ||||
\(509\) | 35.6368 | + | 10.4639i | 1.57957 | + | 0.463804i | 0.949769 | − | 0.312951i | \(-0.101318\pi\) |
0.629803 | + | 0.776755i | \(0.283136\pi\) | |||||||
\(510\) | 0.285582 | + | 0.329579i | 0.0126458 | + | 0.0145940i | ||||
\(511\) | 2.52196 | − | 1.62077i | 0.111565 | − | 0.0716985i | ||||
\(512\) | −0.654861 | + | 0.755750i | −0.0289410 | + | 0.0333997i | ||||
\(513\) | −0.518382 | + | 3.60543i | −0.0228871 | + | 0.159183i | ||||
\(514\) | −20.6636 | + | 6.06737i | −0.911430 | + | 0.267620i | ||||
\(515\) | 0.348106 | + | 0.223714i | 0.0153394 | + | 0.00985803i | ||||
\(516\) | −0.425352 | − | 2.95839i | −0.0187251 | − | 0.130236i | ||||
\(517\) | 8.20308 | + | 17.9622i | 0.360771 | + | 0.789979i | ||||
\(518\) | 2.81348 | + | 6.16066i | 0.123617 | + | 0.270684i | ||||
\(519\) | −1.03027 | − | 7.16570i | −0.0452239 | − | 0.314539i | ||||
\(520\) | −0.186518 | − | 0.119868i | −0.00817936 | − | 0.00525655i | ||||
\(521\) | −9.36233 | + | 2.74903i | −0.410171 | + | 0.120437i | −0.480307 | − | 0.877100i | \(-0.659475\pi\) |
0.0701361 | + | 0.997537i | \(0.477657\pi\) | |||||||
\(522\) | 0.494081 | − | 3.43641i | 0.0216254 | − | 0.150408i | ||||
\(523\) | −0.113608 | + | 0.131111i | −0.00496775 | + | 0.00573309i | −0.758228 | − | 0.651989i | \(-0.773935\pi\) |
0.753260 | + | 0.657723i | \(0.228480\pi\) | |||||||
\(524\) | −16.8098 | + | 10.8030i | −0.734338 | + | 0.471930i | ||||
\(525\) | −3.26214 | − | 3.76471i | −0.142371 | − | 0.164305i | ||||
\(526\) | −10.3547 | − | 3.04042i | −0.451487 | − | 0.132568i | ||||
\(527\) | −6.20060 | + | 13.5774i | −0.270103 | + | 0.591442i | ||||
\(528\) | −1.91184 | −0.0832023 | ||||||||
\(529\) | 1.51954 | + | 22.9497i | 0.0660669 | + | 0.997815i | ||||
\(530\) | 0.275671 | 0.0119744 | ||||||||
\(531\) | −5.97071 | + | 13.0740i | −0.259107 | + | 0.567364i | ||||
\(532\) | 3.49496 | + | 1.02621i | 0.151526 | + | 0.0444919i | ||||
\(533\) | 11.7247 | + | 13.5310i | 0.507851 | + | 0.586092i | ||||
\(534\) | 8.01032 | − | 5.14792i | 0.346640 | − | 0.222772i | ||||
\(535\) | −0.865674 | + | 0.999042i | −0.0374264 | + | 0.0431923i | ||||
\(536\) | −1.24386 | + | 8.65124i | −0.0537266 | + | 0.373677i | ||||
\(537\) | 9.46704 | − | 2.77977i | 0.408533 | − | 0.119956i | ||||
\(538\) | 17.6744 | + | 11.3586i | 0.761996 | + | 0.489705i | ||||
\(539\) | 0.272084 | + | 1.89238i | 0.0117195 | + | 0.0815108i | ||||
\(540\) | −0.0566239 | − | 0.123989i | −0.00243670 | − | 0.00533563i | ||||
\(541\) | 12.1054 | + | 26.5071i | 0.520452 | + | 1.13963i | 0.969268 | + | 0.246006i | \(0.0791184\pi\) |
−0.448817 | + | 0.893624i | \(0.648154\pi\) | |||||||
\(542\) | −0.680195 | − | 4.73086i | −0.0292169 | − | 0.203208i | ||||
\(543\) | −16.5948 | − | 10.6648i | −0.712150 | − | 0.457671i | ||||
\(544\) | −3.06977 | + | 0.901367i | −0.131615 | + | 0.0386458i | ||||
\(545\) | −0.292486 | + | 2.03429i | −0.0125287 | + | 0.0871393i | ||||
\(546\) | 1.06519 | − | 1.22929i | 0.0455858 | − | 0.0526088i | ||||
\(547\) | −14.4889 | + | 9.31145i | −0.619501 | + | 0.398129i | −0.812409 | − | 0.583088i | \(-0.801844\pi\) |
0.192908 | + | 0.981217i | \(0.438208\pi\) | |||||||
\(548\) | 8.93329 | + | 10.3096i | 0.381611 | + | 0.440403i | ||||
\(549\) | −7.00279 | − | 2.05620i | −0.298872 | − | 0.0877566i | ||||
\(550\) | 3.95629 | − | 8.66306i | 0.168697 | − | 0.369394i | ||||
\(551\) | −12.6459 | −0.538732 | ||||||||
\(552\) | −3.50140 | − | 3.27723i | −0.149029 | − | 0.139488i | ||||
\(553\) | −2.13751 | −0.0908964 | ||||||||
\(554\) | 10.0438 | − | 21.9928i | 0.426719 | − | 0.934384i | ||||
\(555\) | −0.885769 | − | 0.260085i | −0.0375988 | − | 0.0110400i | ||||
\(556\) | 1.94806 | + | 2.24818i | 0.0826161 | + | 0.0953441i | ||||
\(557\) | −18.6442 | + | 11.9819i | −0.789979 | + | 0.507689i | −0.872332 | − | 0.488915i | \(-0.837393\pi\) |
0.0823528 | + | 0.996603i | \(0.473757\pi\) | |||||||
\(558\) | 3.05518 | − | 3.52586i | 0.129336 | − | 0.149262i | ||||
\(559\) | −0.691871 | + | 4.81207i | −0.0292630 | + | 0.203529i | ||||
\(560\) | −0.130785 | + | 0.0384020i | −0.00552669 | + | 0.00162278i | ||||
\(561\) | −5.14569 | − | 3.30694i | −0.217251 | − | 0.139619i | ||||
\(562\) | −3.02293 | − | 21.0250i | −0.127515 | − | 0.886885i | ||||
\(563\) | −1.08323 | − | 2.37195i | −0.0456529 | − | 0.0999659i | 0.885431 | − | 0.464770i | \(-0.153863\pi\) |
−0.931084 | + | 0.364804i | \(0.881136\pi\) | |||||||
\(564\) | −4.29067 | − | 9.39525i | −0.180670 | − | 0.395611i | ||||
\(565\) | −0.157411 | − | 1.09482i | −0.00662232 | − | 0.0460592i | ||||
\(566\) | −5.21302 | − | 3.35021i | −0.219120 | − | 0.140820i | ||||
\(567\) | 0.959493 | − | 0.281733i | 0.0402949 | − | 0.0118317i | ||||
\(568\) | −0.608714 | + | 4.23370i | −0.0255411 | + | 0.177642i | ||||
\(569\) | 5.32733 | − | 6.14807i | 0.223333 | − | 0.257741i | −0.633014 | − | 0.774140i | \(-0.718183\pi\) |
0.856348 | + | 0.516400i | \(0.172728\pi\) | |||||||
\(570\) | −0.417680 | + | 0.268427i | −0.0174947 | + | 0.0112432i | ||||
\(571\) | −26.9010 | − | 31.0454i | −1.12577 | − | 1.29921i | −0.949112 | − | 0.314937i | \(-0.898016\pi\) |
−0.176659 | − | 0.984272i | \(-0.556529\pi\) | |||||||
\(572\) | 2.98381 | + | 0.876125i | 0.124759 | + | 0.0366326i | ||||
\(573\) | −10.0057 | + | 21.9093i | −0.417992 | + | 0.915275i | ||||
\(574\) | 11.0071 | 0.459429 | ||||||||
\(575\) | 22.0956 | − | 9.08397i | 0.921451 | − | 0.378828i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | 18.3635 | − | 40.2104i | 0.764482 | − | 1.67398i | 0.0260430 | − | 0.999661i | \(-0.491709\pi\) |
0.738439 | − | 0.674321i | \(-0.235563\pi\) | |||||||
\(578\) | 6.49004 | + | 1.90565i | 0.269950 | + | 0.0792644i | ||||
\(579\) | 11.0638 | + | 12.7683i | 0.459795 | + | 0.530631i | ||||
\(580\) | 0.398100 | − | 0.255844i | 0.0165302 | − | 0.0106233i | ||||
\(581\) | 3.94828 | − | 4.55656i | 0.163802 | − | 0.189038i | ||||
\(582\) | −1.62723 | + | 11.3177i | −0.0674510 | + | 0.469132i | ||||
\(583\) | −3.70995 | + | 1.08934i | −0.153650 | + | 0.0451158i | ||||
\(584\) | −2.52196 | − | 1.62077i | −0.104359 | − | 0.0670678i | ||||
\(585\) | 0.0315533 | + | 0.219458i | 0.00130457 | + | 0.00907346i | ||||
\(586\) | 3.03010 | + | 6.63499i | 0.125172 | + | 0.274089i | ||||
\(587\) | 3.47958 | + | 7.61923i | 0.143618 | + | 0.314479i | 0.967748 | − | 0.251922i | \(-0.0810626\pi\) |
−0.824130 | + | 0.566401i | \(0.808335\pi\) | |||||||
\(588\) | −0.142315 | − | 0.989821i | −0.00586897 | − | 0.0408195i | ||||
\(589\) | −14.2960 | − | 9.18747i | −0.589056 | − | 0.378563i | ||||
\(590\) | −1.87976 | + | 0.551948i | −0.0773885 | + | 0.0227233i | ||||
\(591\) | −0.929522 | + | 6.46497i | −0.0382354 | + | 0.265933i | ||||
\(592\) | 4.43517 | − | 5.11846i | 0.182284 | − | 0.210367i | ||||
\(593\) | −8.21549 | + | 5.27978i | −0.337370 | + | 0.216814i | −0.698346 | − | 0.715761i | \(-0.746080\pi\) |
0.360976 | + | 0.932575i | \(0.382444\pi\) | |||||||
\(594\) | 1.25199 | + | 1.44488i | 0.0513698 | + | 0.0592840i | ||||
\(595\) | −0.418431 | − | 0.122862i | −0.0171540 | − | 0.00503687i | ||||
\(596\) | 7.37263 | − | 16.1438i | 0.301995 | − | 0.661276i | ||||
\(597\) | −22.9367 | −0.938737 | ||||||||
\(598\) | 3.96279 | + | 6.71932i | 0.162050 | + | 0.274773i | ||||
\(599\) | −10.7675 | −0.439947 | −0.219973 | − | 0.975506i | \(-0.570597\pi\) | ||||
−0.219973 | + | 0.975506i | \(0.570597\pi\) | |||||||
\(600\) | −2.06936 | + | 4.53126i | −0.0844811 | + | 0.184988i | ||||
\(601\) | −42.9607 | − | 12.6144i | −1.75240 | − | 0.514552i | −0.761388 | − | 0.648296i | \(-0.775482\pi\) |
−0.991016 | + | 0.133744i | \(0.957300\pi\) | |||||||
\(602\) | 1.95725 | + | 2.25879i | 0.0797717 | + | 0.0920614i | ||||
\(603\) | 7.35273 | − | 4.72531i | 0.299426 | − | 0.192430i | ||||
\(604\) | −12.2929 | + | 14.1867i | −0.500189 | + | 0.577249i | ||||
\(605\) | −0.142479 | + | 0.990962i | −0.00579259 | + | 0.0402884i | ||||
\(606\) | 8.30706 | − | 2.43917i | 0.337451 | − | 0.0990846i | ||||
\(607\) | −34.6868 | − | 22.2918i | −1.40789 | − | 0.904797i | −0.407926 | − | 0.913015i | \(-0.633748\pi\) |
−0.999966 | + | 0.00821777i | \(0.997384\pi\) | |||||||
\(608\) | −0.518382 | − | 3.60543i | −0.0210232 | − | 0.146219i | ||||
\(609\) | 1.44222 | + | 3.15801i | 0.0584416 | + | 0.127969i | ||||
\(610\) | −0.413265 | − | 0.904924i | −0.0167326 | − | 0.0366393i | ||||
\(611\) | 2.39094 | + | 16.6294i | 0.0967272 | + | 0.672753i | ||||
\(612\) | 2.69148 | + | 1.72971i | 0.108797 | + | 0.0699194i | ||||
\(613\) | 22.7311 | − | 6.67445i | 0.918100 | − | 0.269578i | 0.211653 | − | 0.977345i | \(-0.432115\pi\) |
0.706447 | + | 0.707766i | \(0.250297\pi\) | |||||||
\(614\) | −1.42092 | + | 9.88274i | −0.0573438 | + | 0.398835i | ||||
\(615\) | −0.982519 | + | 1.13389i | −0.0396190 | + | 0.0457227i | ||||
\(616\) | 1.60835 | − | 1.03362i | 0.0648021 | − | 0.0416458i | ||||
\(617\) | 9.39207 | + | 10.8390i | 0.378110 | + | 0.436363i | 0.912626 | − | 0.408796i | \(-0.134051\pi\) |
−0.534515 | + | 0.845159i | \(0.679506\pi\) | |||||||
\(618\) | 2.91279 | + | 0.855273i | 0.117170 | + | 0.0344041i | ||||
\(619\) | −4.83410 | + | 10.5852i | −0.194299 | + | 0.425456i | −0.981557 | − | 0.191168i | \(-0.938773\pi\) |
0.787258 | + | 0.616623i | \(0.211500\pi\) | |||||||
\(620\) | 0.635923 | 0.0255393 | ||||||||
\(621\) | −0.183838 | + | 4.79231i | −0.00737718 | + | 0.192309i | ||||
\(622\) | 15.1635 | 0.608002 | ||||||||
\(623\) | −3.95553 | + | 8.66141i | −0.158475 | + | 0.347012i | ||||
\(624\) | −1.56070 | − | 0.458262i | −0.0624779 | − | 0.0183452i | ||||
\(625\) | −16.1892 | − | 18.6834i | −0.647570 | − | 0.747335i | ||||
\(626\) | −9.13455 | + | 5.87042i | −0.365090 | + | 0.234629i | ||||
\(627\) | 4.56038 | − | 5.26296i | 0.182124 | − | 0.210182i | ||||
\(628\) | −0.595565 | + | 4.14225i | −0.0237656 | + | 0.165294i | ||||
\(629\) | 20.7906 | − | 6.10468i | 0.828977 | − | 0.243410i | ||||
\(630\) | 0.114669 | + | 0.0736930i | 0.00456850 | + | 0.00293600i | ||||
\(631\) | 3.40738 | + | 23.6989i | 0.135646 | + | 0.943437i | 0.938012 | + | 0.346604i | \(0.112665\pi\) |
−0.802366 | + | 0.596833i | \(0.796426\pi\) | |||||||
\(632\) | 0.887956 | + | 1.94435i | 0.0353210 | + | 0.0773422i | ||||
\(633\) | −7.29286 | − | 15.9691i | −0.289865 | − | 0.634717i | ||||
\(634\) | 1.93345 | + | 13.4475i | 0.0767872 | + | 0.534067i | ||||
\(635\) | −0.337034 | − | 0.216599i | −0.0133748 | − | 0.00859545i | ||||
\(636\) | 1.94051 | − | 0.569784i | 0.0769461 | − | 0.0225934i | ||||
\(637\) | −0.231487 | + | 1.61003i | −0.00917185 | + | 0.0637917i | ||||
\(638\) | −4.34660 | + | 5.01625i | −0.172084 | + | 0.198595i | ||||
\(639\) | 3.59824 | − | 2.31245i | 0.142344 | − | 0.0914790i | ||||
\(640\) | 0.0892619 | + | 0.103014i | 0.00352839 | + | 0.00407198i | ||||
\(641\) | 14.1078 | + | 4.14243i | 0.557226 | + | 0.163616i | 0.548206 | − | 0.836343i | \(-0.315311\pi\) |
0.00901928 | + | 0.999959i | \(0.497129\pi\) | |||||||
\(642\) | −4.02875 | + | 8.82174i | −0.159002 | + | 0.348166i | ||||
\(643\) | −34.3156 | −1.35327 | −0.676637 | − | 0.736317i | \(-0.736563\pi\) | ||||
−0.676637 | + | 0.736317i | \(0.736563\pi\) | |||||||
\(644\) | 4.71737 | + | 0.863983i | 0.185890 | + | 0.0340457i | ||||
\(645\) | −0.407395 | −0.0160411 | ||||||||
\(646\) | 4.84113 | − | 10.6006i | 0.190472 | − | 0.417075i | ||||
\(647\) | 13.2870 | + | 3.90141i | 0.522365 | + | 0.153380i | 0.532276 | − | 0.846571i | \(-0.321337\pi\) |
−0.00991157 | + | 0.999951i | \(0.503155\pi\) | |||||||
\(648\) | −0.654861 | − | 0.755750i | −0.0257254 | − | 0.0296886i | ||||
\(649\) | 23.1165 | − | 14.8561i | 0.907404 | − | 0.583153i | ||||
\(650\) | 5.30614 | − | 6.12361i | 0.208124 | − | 0.240188i | ||||
\(651\) | −0.663953 | + | 4.61789i | −0.0260224 | + | 0.180990i | ||||
\(652\) | −19.6048 | + | 5.75648i | −0.767781 | + | 0.225441i | ||||
\(653\) | −22.5361 | − | 14.4830i | −0.881904 | − | 0.566765i | 0.0194682 | − | 0.999810i | \(-0.493803\pi\) |
−0.901372 | + | 0.433045i | \(0.857439\pi\) | |||||||
\(654\) | 2.14580 | + | 14.9243i | 0.0839073 | + | 0.583588i | ||||
\(655\) | 1.13145 | + | 2.47752i | 0.0442093 | + | 0.0968048i | ||||
\(656\) | −4.57253 | − | 10.0124i | −0.178527 | − | 0.390920i | ||||
\(657\) | 0.426640 | + | 2.96735i | 0.0166448 | + | 0.115767i | ||||
\(658\) | 8.68899 | + | 5.58408i | 0.338732 | + | 0.217690i | ||||
\(659\) | −0.687236 | + | 0.201791i | −0.0267709 | + | 0.00786065i | −0.295091 | − | 0.955469i | \(-0.595350\pi\) |
0.268320 | + | 0.963330i | \(0.413532\pi\) | |||||||
\(660\) | −0.0370868 | + | 0.257945i | −0.00144360 | + | 0.0100405i | ||||
\(661\) | 21.7988 | − | 25.1572i | 0.847875 | − | 0.978500i | −0.152076 | − | 0.988369i | \(-0.548596\pi\) |
0.999951 | + | 0.00986886i | \(0.00314141\pi\) | |||||||
\(662\) | −10.1487 | + | 6.52219i | −0.394442 | + | 0.253492i | ||||
\(663\) | −3.40793 | − | 3.93296i | −0.132353 | − | 0.152743i | ||||
\(664\) | −5.78497 | − | 1.69862i | −0.224500 | − | 0.0659193i | ||||
\(665\) | 0.206253 | − | 0.451630i | 0.00799813 | − | 0.0175135i | ||||
\(666\) | −6.77270 | −0.262437 | ||||||||
\(667\) | −16.5592 | + | 1.73605i | −0.641174 | + | 0.0672200i | ||||
\(668\) | 6.93499 | 0.268323 | ||||||||
\(669\) | 0.478128 | − | 1.04695i | 0.0184855 | − | 0.0404776i | ||||
\(670\) | 1.14309 | + | 0.335642i | 0.0441615 | + | 0.0129670i | ||||
\(671\) | 9.13756 | + | 10.5453i | 0.352752 | + | 0.407097i | ||||
\(672\) | −0.841254 | + | 0.540641i | −0.0324521 | + | 0.0208557i | ||||
\(673\) | −12.6529 | + | 14.6022i | −0.487734 | + | 0.562875i | −0.945259 | − | 0.326322i | \(-0.894191\pi\) |
0.457525 | + | 0.889197i | \(0.348736\pi\) | |||||||
\(674\) | −2.88080 | + | 20.0364i | −0.110964 | + | 0.771773i | ||||
\(675\) | 4.77964 | − | 1.40343i | 0.183968 | − | 0.0540180i | ||||
\(676\) | −8.71053 | − | 5.59791i | −0.335020 | − | 0.215304i | ||||
\(677\) | −6.20694 | − | 43.1702i | −0.238552 | − | 1.65917i | −0.659218 | − | 0.751952i | \(-0.729113\pi\) |
0.420666 | − | 0.907216i | \(-0.361796\pi\) | |||||||
\(678\) | −3.37092 | − | 7.38130i | −0.129460 | − | 0.283477i | ||||
\(679\) | −4.74987 | − | 10.4008i | −0.182283 | − | 0.399145i | ||||
\(680\) | 0.0620629 | + | 0.431657i | 0.00238000 | + | 0.0165533i | ||||
\(681\) | −11.3647 | − | 7.30365i | −0.435497 | − | 0.279877i | ||||
\(682\) | −8.55818 | + | 2.51291i | −0.327710 | + | 0.0962242i | ||||
\(683\) | 3.10984 | − | 21.6294i | 0.118995 | − | 0.827626i | −0.839672 | − | 0.543094i | \(-0.817253\pi\) |
0.958666 | − | 0.284532i | \(-0.0918383\pi\) | |||||||
\(684\) | −2.38533 | + | 2.75282i | −0.0912054 | + | 0.105257i | ||||
\(685\) | 1.56425 | − | 1.00528i | 0.0597670 | − | 0.0384099i | ||||
\(686\) | 0.654861 | + | 0.755750i | 0.0250027 | + | 0.0288547i | ||||
\(687\) | 11.5419 | + | 3.38902i | 0.440352 | + | 0.129299i | ||||
\(688\) | 1.24160 | − | 2.71872i | 0.0473354 | − | 0.103650i | ||||
\(689\) | −3.28965 | −0.125326 | ||||||||
\(690\) | −0.510083 | + | 0.408833i | −0.0194185 | + | 0.0155640i | ||||
\(691\) | −9.10252 | −0.346276 | −0.173138 | − | 0.984898i | \(-0.555391\pi\) | ||||
−0.173138 | + | 0.984898i | \(0.555391\pi\) | |||||||
\(692\) | 3.00735 | − | 6.58518i | 0.114322 | − | 0.250331i | ||||
\(693\) | −1.83440 | − | 0.538629i | −0.0696831 | − | 0.0204608i | ||||
\(694\) | −1.75943 | − | 2.03049i | −0.0667869 | − | 0.0770762i | ||||
\(695\) | 0.341112 | − | 0.219220i | 0.0129391 | − | 0.00831547i | ||||
\(696\) | 2.27351 | − | 2.62377i | 0.0861773 | − | 0.0994539i | ||||
\(697\) | 5.01175 | − | 34.8575i | 0.189834 | − | 1.32032i | ||||
\(698\) | −4.21467 | + | 1.23754i | −0.159528 | + | 0.0468416i | ||||
\(699\) | 12.5452 | + | 8.06229i | 0.474502 | + | 0.304944i | ||||
\(700\) | −0.708930 | − | 4.93072i | −0.0267950 | − | 0.186364i | ||||
\(701\) | −7.81411 | − | 17.1105i | −0.295135 | − | 0.646255i | 0.702738 | − | 0.711449i | \(-0.251961\pi\) |
−0.997873 | + | 0.0651939i | \(0.979233\pi\) | |||||||
\(702\) | 0.675708 | + | 1.47959i | 0.0255029 | + | 0.0558437i | ||||
\(703\) | 3.51084 | + | 24.4185i | 0.132414 | + | 0.920960i | ||||
\(704\) | −1.60835 | − | 1.03362i | −0.0606168 | − | 0.0389561i | ||||
\(705\) | −1.35083 | + | 0.396640i | −0.0508753 | + | 0.0149383i | ||||
\(706\) | 1.91247 | − | 13.3015i | 0.0719767 | − | 0.500609i | ||||
\(707\) | −5.66963 | + | 6.54310i | −0.213228 | + | 0.246079i | ||||
\(708\) | −12.0912 | + | 7.77056i | −0.454416 | + | 0.292036i | ||||
\(709\) | −7.26728 | − | 8.38689i | −0.272928 | − | 0.314976i | 0.602694 | − | 0.797972i | \(-0.294094\pi\) |
−0.875622 | + | 0.482996i | \(0.839548\pi\) | |||||||
\(710\) | 0.559399 | + | 0.164254i | 0.0209939 | + | 0.00616436i | ||||
\(711\) | 0.887956 | − | 1.94435i | 0.0333009 | − | 0.0729189i | ||||
\(712\) | 9.52188 | 0.356848 | ||||||||
\(713\) | −19.9812 | − | 10.0680i | −0.748302 | − | 0.377049i | ||||
\(714\) | −3.19937 | −0.119733 | ||||||||
\(715\) | 0.176088 | − | 0.385578i | 0.00658530 | − | 0.0144198i | ||||
\(716\) | 9.46704 | + | 2.77977i | 0.353800 | + | 0.103885i | ||||
\(717\) | 7.14830 | + | 8.24958i | 0.266958 | + | 0.308086i | ||||
\(718\) | 6.21033 | − | 3.99114i | 0.231768 | − | 0.148948i | ||||
\(719\) | 23.3566 | − | 26.9549i | 0.871053 | − | 1.00525i | −0.128855 | − | 0.991663i | \(-0.541130\pi\) |
0.999908 | − | 0.0135850i | \(-0.00432436\pi\) | |||||||
\(720\) | 0.0193985 | − | 0.134919i | 0.000722938 | − | 0.00502815i | ||||
\(721\) | −2.91279 | + | 0.855273i | −0.108478 | + | 0.0318520i | ||||
\(722\) | −4.82222 | − | 3.09905i | −0.179464 | − | 0.115335i | ||||
\(723\) | −2.40463 | − | 16.7246i | −0.0894293 | − | 0.621994i | ||||
\(724\) | −8.19458 | − | 17.9436i | −0.304549 | − | 0.666870i | ||||
\(725\) | 7.18429 | + | 15.7314i | 0.266818 | + | 0.584249i | ||||
\(726\) | 1.04528 | + | 7.27009i | 0.0387940 | + | 0.269818i | ||||
\(727\) | −28.3042 | − | 18.1900i | −1.04974 | − | 0.674630i | −0.102367 | − | 0.994747i | \(-0.532642\pi\) |
−0.947378 | + | 0.320117i | \(0.896278\pi\) | |||||||
\(728\) | 1.56070 | − | 0.458262i | 0.0578433 | − | 0.0169843i | ||||
\(729\) | −0.142315 | + | 0.989821i | −0.00527092 | + | 0.0366601i | ||||
\(730\) | −0.267595 | + | 0.308821i | −0.00990413 | + | 0.0114300i | ||||
\(731\) | 8.04432 | − | 5.16977i | 0.297530 | − | 0.191211i | ||||
\(732\) | −4.77945 | − | 5.51578i | −0.176654 | − | 0.203869i | ||||
\(733\) | 20.5007 | + | 6.01955i | 0.757211 | + | 0.222337i | 0.637478 | − | 0.770469i | \(-0.279978\pi\) |
0.119734 | + | 0.992806i | \(0.461796\pi\) | |||||||
\(734\) | −5.13915 | + | 11.2532i | −0.189690 | + | 0.415362i | ||||
\(735\) | −0.136307 | −0.00502775 | ||||||||
\(736\) | −1.17376 | − | 4.64998i | −0.0432653 | − | 0.171400i | ||||
\(737\) | −16.7099 | −0.615518 | ||||||||
\(738\) | −4.57253 | + | 10.0124i | −0.168317 | + | 0.368563i | ||||
\(739\) | −6.40363 | − | 1.88028i | −0.235561 | − | 0.0691670i | 0.161821 | − | 0.986820i | \(-0.448263\pi\) |
−0.397383 | + | 0.917653i | \(0.630081\pi\) | |||||||
\(740\) | −0.604544 | − | 0.697681i | −0.0222235 | − | 0.0256473i | ||||
\(741\) | 4.98429 | − | 3.20321i | 0.183103 | − | 0.117673i | ||||
\(742\) | −1.32441 | + | 1.52845i | −0.0486206 | + | 0.0561112i | ||||
\(743\) | 2.15905 | − | 15.0165i | 0.0792077 | − | 0.550902i | −0.911119 | − | 0.412144i | \(-0.864780\pi\) |
0.990326 | − | 0.138758i | \(-0.0443109\pi\) | |||||||
\(744\) | 4.47640 | − | 1.31439i | 0.164113 | − | 0.0481879i | ||||
\(745\) | −2.03509 | − | 1.30788i | −0.0745601 | − | 0.0479168i | ||||
\(746\) | −1.91544 | − | 13.3222i | −0.0701293 | − | 0.487760i | ||||
\(747\) | 2.50462 | + | 5.48435i | 0.0916392 | + | 0.200662i | ||||
\(748\) | −2.54097 | − | 5.56394i | −0.0929070 | − | 0.203438i | ||||
\(749\) | −1.38019 | − | 9.59943i | −0.0504310 | − | 0.350755i | ||||
\(750\) | 1.14455 | + | 0.735561i | 0.0417932 | + | 0.0268589i | ||||
\(751\) | −46.4273 | + | 13.6323i | −1.69416 | + | 0.497449i | −0.979401 | − | 0.201924i | \(-0.935281\pi\) |
−0.714756 | + | 0.699374i | \(0.753462\pi\) | |||||||
\(752\) | 1.46992 | − | 10.2235i | 0.0536023 | − | 0.372812i | ||||
\(753\) | −2.39564 | + | 2.76472i | −0.0873021 | + | 0.100752i | ||||
\(754\) | −4.75064 | + | 3.05305i | −0.173008 | + | 0.111186i | ||||
\(755\) | 1.67560 | + | 1.93374i | 0.0609813 | + | 0.0703761i | ||||
\(756\) | 0.959493 | + | 0.281733i | 0.0348964 | + | 0.0102465i | ||||
\(757\) | −4.70425 | + | 10.3009i | −0.170979 | + | 0.374392i | −0.975651 | − | 0.219327i | \(-0.929614\pi\) |
0.804672 | + | 0.593719i | \(0.202341\pi\) | |||||||
\(758\) | 22.3461 | 0.811646 | ||||||||
\(759\) | 5.24910 | − | 7.51767i | 0.190530 | − | 0.272874i | ||||
\(760\) | −0.496497 | −0.0180099 | ||||||||
\(761\) | 0.560009 | − | 1.22625i | 0.0203003 | − | 0.0444515i | −0.899210 | − | 0.437517i | \(-0.855858\pi\) |
0.919511 | + | 0.393065i | \(0.128585\pi\) | |||||||
\(762\) | −2.82014 | − | 0.828069i | −0.102163 | − | 0.0299978i | ||||
\(763\) | −9.87387 | − | 11.3950i | −0.357458 | − | 0.412528i | ||||
\(764\) | −20.2624 | + | 13.0218i | −0.733067 | + | 0.471113i | ||||
\(765\) | 0.285582 | − | 0.329579i | 0.0103252 | − | 0.0119160i | ||||
\(766\) | 1.63530 | − | 11.3737i | 0.0590857 | − | 0.410950i | ||||
\(767\) | 22.4317 | − | 6.58654i | 0.809962 | − | 0.237826i | ||||
\(768\) | 0.841254 | + | 0.540641i | 0.0303561 | + | 0.0195087i | ||||
\(769\) | −2.48708 | − | 17.2981i | −0.0896866 | − | 0.623784i | −0.984242 | − | 0.176827i | \(-0.943417\pi\) |
0.894555 | − | 0.446957i | \(-0.147492\pi\) | |||||||
\(770\) | −0.108256 | − | 0.237048i | −0.00390127 | − | 0.00854260i | ||||
\(771\) | 8.94634 | + | 19.5898i | 0.322195 | + | 0.705508i | ||||
\(772\) | 2.40439 | + | 16.7229i | 0.0865358 | + | 0.601870i | ||||
\(773\) | 11.0156 | + | 7.07928i | 0.396202 | + | 0.254624i | 0.723538 | − | 0.690284i | \(-0.242514\pi\) |
−0.327336 | + | 0.944908i | \(0.606151\pi\) | |||||||
\(774\) | −2.86774 | + | 0.842045i | −0.103079 | + | 0.0302667i | ||||
\(775\) | −3.30743 | + | 23.0037i | −0.118806 | + | 0.826316i | ||||
\(776\) | −7.48771 | + | 8.64127i | −0.268793 | + | 0.310204i | ||||
\(777\) | 5.69755 | − | 3.66160i | 0.204399 | − | 0.131359i | ||||
\(778\) | 11.9937 | + | 13.8415i | 0.429995 | + | 0.496241i | ||||
\(779\) | 38.4695 | + | 11.2957i | 1.37831 | + | 0.404709i | ||||
\(780\) | −0.0921035 | + | 0.201679i | −0.00329783 | + | 0.00722125i | ||||
\(781\) | −8.17740 | −0.292610 | ||||||||
\(782\) | 4.88397 | − | 14.5456i | 0.174650 | − | 0.520149i | ||||
\(783\) | −3.47175 | −0.124070 | ||||||||
\(784\) | 0.415415 | − | 0.909632i | 0.0148363 | − | 0.0324869i | ||||
\(785\) | 0.547316 | + | 0.160706i | 0.0195345 | + | 0.00573586i | ||||
\(786\) | 13.0853 | + | 15.1012i | 0.466737 | + | 0.538643i | ||||
\(787\) | 24.6154 | − | 15.8193i | 0.877443 | − | 0.563898i | −0.0225782 | − | 0.999745i | \(-0.507187\pi\) |
0.900021 | + | 0.435847i | \(0.143551\pi\) | |||||||
\(788\) | −4.27719 | + | 4.93614i | −0.152369 | + | 0.175843i | ||||
\(789\) | −1.53584 | + | 10.6820i | −0.0546774 | + | 0.380289i | ||||
\(790\) | 0.279556 | − | 0.0820849i | 0.00994614 | − | 0.00292045i | ||||
\(791\) | 6.82643 | + | 4.38708i | 0.242720 | + | 0.155987i | ||||
\(792\) | 0.272084 | + | 1.89238i | 0.00966808 | + | 0.0672429i | ||||
\(793\) | 4.93160 | + | 10.7987i | 0.175126 | + | 0.383473i | ||||
\(794\) | 2.49650 | + | 5.46656i | 0.0885973 | + | 0.194001i | ||||
\(795\) | −0.0392320 | − | 0.272865i | −0.00139142 | − | 0.00967752i | ||||
\(796\) | −19.2956 | − | 12.4005i | −0.683914 | − | 0.439525i | ||||
\(797\) | 13.7699 | − | 4.04319i | 0.487753 | − | 0.143217i | −0.0286035 | − | 0.999591i | \(-0.509106\pi\) |
0.516357 | + | 0.856374i | \(0.327288\pi\) | |||||||
\(798\) | 0.518382 | − | 3.60543i | 0.0183505 | − | 0.127631i | ||||
\(799\) | 21.6399 | − | 24.9738i | 0.765566 | − | 0.883510i | ||||
\(800\) | −4.19064 | + | 2.69316i | −0.148161 | + | 0.0952176i | ||||
\(801\) | −6.23551 | − | 7.19616i | −0.220321 | − | 0.254264i | ||||
\(802\) | 16.7042 | + | 4.90479i | 0.589845 | + | 0.173194i | ||||
\(803\) | 2.38093 | − | 5.21350i | 0.0840211 | − | 0.183981i | ||||
\(804\) | 8.74021 | 0.308243 | ||||||||
\(805\) | 0.208078 | − | 0.619704i | 0.00733378 | − | 0.0218417i | ||||
\(806\) | −7.58864 | −0.267298 | ||||||||
\(807\) | 8.72768 | − | 19.1110i | 0.307229 | − | 0.672737i | ||||
\(808\) | 8.30706 | + | 2.43917i | 0.292241 | + | 0.0858098i | ||||
\(809\) | 20.1926 | + | 23.3035i | 0.709932 | + | 0.819306i | 0.990058 | − | 0.140658i | \(-0.0449217\pi\) |
−0.280126 | + | 0.959963i | \(0.590376\pi\) | |||||||
\(810\) | −0.114669 | + | 0.0736930i | −0.00402904 | + | 0.00258931i | ||||
\(811\) | 0.869804 | − | 1.00381i | 0.0305429 | − | 0.0352484i | −0.740273 | − | 0.672307i | \(-0.765304\pi\) |
0.770816 | + | 0.637058i | \(0.219849\pi\) | |||||||
\(812\) | −0.494081 | + | 3.43641i | −0.0173389 | + | 0.120594i | ||||
\(813\) | −4.58591 | + | 1.34654i | −0.160835 | + | 0.0472254i | ||||
\(814\) | 10.8928 | + | 7.00040i | 0.381794 | + | 0.245364i | ||||
\(815\) | 0.396357 | + | 2.75673i | 0.0138838 | + | 0.0965639i | ||||
\(816\) | 1.32907 | + | 2.91025i | 0.0465266 | + | 0.101879i | ||||
\(817\) | 4.52252 | + | 9.90293i | 0.158223 | + | 0.346460i | ||||
\(818\) | 3.64266 | + | 25.3352i | 0.127362 | + | 0.885825i | ||||
\(819\) | −1.36837 | − | 0.879398i | −0.0478147 | − | 0.0307287i | ||||
\(820\) | −1.43957 | + | 0.422697i | −0.0502721 | + | 0.0147612i | ||||
\(821\) | 2.60323 | − | 18.1059i | 0.0908535 | − | 0.631900i | −0.892615 | − | 0.450820i | \(-0.851132\pi\) |
0.983468 | − | 0.181080i | \(-0.0579593\pi\) | |||||||
\(822\) | 8.93329 | − | 10.3096i | 0.311584 | − | 0.359587i | ||||
\(823\) | 3.04550 | − | 1.95723i | 0.106160 | − | 0.0682246i | −0.486484 | − | 0.873690i | \(-0.661721\pi\) |
0.592643 | + | 0.805465i | \(0.298084\pi\) | |||||||
\(824\) | 1.98800 | + | 2.29427i | 0.0692553 | + | 0.0799248i | ||||
\(825\) | −9.13792 | − | 2.68314i | −0.318142 | − | 0.0934148i | ||||
\(826\) | 5.97071 | − | 13.0740i | 0.207747 | − | 0.454904i | ||||
\(827\) | 29.0588 | 1.01047 | 0.505237 | − | 0.862981i | \(-0.331405\pi\) | ||||
0.505237 | + | 0.862981i | \(0.331405\pi\) | |||||||
\(828\) | −2.74557 | + | 3.93215i | −0.0954152 | + | 0.136652i | ||||
\(829\) | 30.5330 | 1.06045 | 0.530227 | − | 0.847856i | \(-0.322107\pi\) | ||||
0.530227 | + | 0.847856i | \(0.322107\pi\) | |||||||
\(830\) | −0.341396 | + | 0.747554i | −0.0118500 | + | 0.0259480i | ||||
\(831\) | −23.1983 | − | 6.81164i | −0.804741 | − | 0.236293i | ||||
\(832\) | −1.06519 | − | 1.22929i | −0.0369287 | − | 0.0426180i | ||||
\(833\) | 2.69148 | − | 1.72971i | 0.0932543 | − | 0.0599309i | ||||
\(834\) | 1.94806 | − | 2.24818i | 0.0674558 | − | 0.0778481i | ||||
\(835\) | 0.134528 | − | 0.935664i | 0.00465554 | − | 0.0323800i | ||||
\(836\) | 6.68181 | − | 1.96196i | 0.231095 | − | 0.0678557i | ||||
\(837\) | −3.92477 | − | 2.52230i | −0.135660 | − | 0.0871833i | ||||
\(838\) | −1.24213 | − | 8.63918i | −0.0429086 | − | 0.298436i | ||||
\(839\) | 11.1304 | + | 24.3721i | 0.384263 | + | 0.841419i | 0.998626 | + | 0.0523954i | \(0.0166856\pi\) |
−0.614363 | + | 0.789023i | \(0.710587\pi\) | |||||||
\(840\) | 0.0566239 | + | 0.123989i | 0.00195371 | + | 0.00427803i | ||||
\(841\) | 2.41180 | + | 16.7745i | 0.0831656 | + | 0.578430i | ||||
\(842\) | −23.7950 | − | 15.2921i | −0.820030 | − | 0.527001i | ||||
\(843\) | −20.3808 | + | 5.98433i | −0.701951 | + | 0.206111i | ||||
\(844\) | 2.49842 | − | 17.3769i | 0.0859993 | − | 0.598138i | ||||
\(845\) | −0.924238 | + | 1.06663i | −0.0317947 | + | 0.0366931i | ||||
\(846\) | −8.68899 | + | 5.58408i | −0.298734 | + | 0.191984i | ||||
\(847\) | −4.80986 | − | 5.55087i | −0.165269 | − | 0.190730i | ||||
\(848\) | 1.94051 | + | 0.569784i | 0.0666373 | + | 0.0195665i | ||||
\(849\) | −2.57422 | + | 5.63675i | −0.0883469 | + | 0.193453i | ||||
\(850\) | −15.9374 | −0.546649 | ||||||||
\(851\) | 7.94950 | + | 31.4929i | 0.272505 | + | 1.07956i | ||||
\(852\) | 4.27723 | 0.146536 | ||||||||
\(853\) | −0.190510 | + | 0.417159i | −0.00652295 | + | 0.0142833i | −0.912865 | − | 0.408261i | \(-0.866135\pi\) |
0.906342 | + | 0.422544i | \(0.138863\pi\) | |||||||
\(854\) | 7.00279 | + | 2.05620i | 0.239630 | + | 0.0703618i | ||||
\(855\) | 0.325137 | + | 0.375228i | 0.0111194 | + | 0.0128325i | ||||
\(856\) | −8.15859 | + | 5.24321i | −0.278855 | + | 0.179209i | ||||
\(857\) | −4.04926 | + | 4.67310i | −0.138320 | + | 0.159630i | −0.820683 | − | 0.571384i | \(-0.806407\pi\) |
0.682363 | + | 0.731013i | \(0.260952\pi\) | |||||||
\(858\) | 0.442567 | − | 3.07812i | 0.0151090 | − | 0.105085i | ||||
\(859\) | −19.4629 | + | 5.71483i | −0.664066 | + | 0.194987i | −0.596359 | − | 0.802718i | \(-0.703386\pi\) |
−0.0677070 | + | 0.997705i | \(0.521568\pi\) | |||||||
\(860\) | −0.342722 | − | 0.220254i | −0.0116867 | − | 0.00751061i | ||||
\(861\) | −1.56648 | − | 10.8951i | −0.0533855 | − | 0.371304i | ||||
\(862\) | −10.8867 | − | 23.8385i | −0.370802 | − | 0.811944i | ||||
\(863\) | 17.7885 | + | 38.9515i | 0.605529 | + | 1.32592i | 0.925590 | + | 0.378527i | \(0.123569\pi\) |
−0.320061 | + | 0.947397i | \(0.603703\pi\) | |||||||
\(864\) | −0.142315 | − | 0.989821i | −0.00484165 | − | 0.0336744i | ||||
\(865\) | −0.830130 | − | 0.533492i | −0.0282253 | − | 0.0181393i | ||||
\(866\) | 21.1699 | − | 6.21605i | 0.719384 | − | 0.211230i | ||||
\(867\) | 0.962621 | − | 6.69518i | 0.0326923 | − | 0.227380i | ||||
\(868\) | −3.05518 | + | 3.52586i | −0.103699 | + | 0.119675i | ||||
\(869\) | −3.43786 | + | 2.20938i | −0.116622 | + | 0.0749481i | ||||
\(870\) | −0.309895 | − | 0.357638i | −0.0105064 | − | 0.0121251i | ||||
\(871\) | −13.6408 | − | 4.00530i | −0.462201 | − | 0.135715i | ||||
\(872\) | −6.26355 | + | 13.7153i | −0.212111 | + | 0.464457i | ||||
\(873\) | 11.4340 | 0.386984 | ||||||||
\(874\) | 15.6003 | + | 7.86060i | 0.527690 | + | 0.265889i | ||||
\(875\) | −1.36053 | −0.0459945 | ||||||||
\(876\) | −1.24536 | + | 2.72695i | −0.0420767 | + | 0.0921351i | ||||
\(877\) | 39.6338 | + | 11.6375i | 1.33834 | + | 0.392972i | 0.871076 | − | 0.491148i | \(-0.163422\pi\) |
0.467262 | + | 0.884119i | \(0.345241\pi\) | |||||||
\(878\) | 22.4189 | + | 25.8727i | 0.756600 | + | 0.873163i | ||||
\(879\) | 6.13623 | − | 3.94351i | 0.206970 | − | 0.133011i | ||||
\(880\) | −0.170655 | + | 0.196946i | −0.00575277 | + | 0.00663906i | ||||
\(881\) | 6.33435 | − | 44.0564i | 0.213410 | − | 1.48430i | −0.548247 | − | 0.836317i | \(-0.684705\pi\) |
0.761657 | − | 0.647981i | \(-0.224386\pi\) | |||||||
\(882\) | −0.959493 | + | 0.281733i | −0.0323078 | + | 0.00948643i | ||||
\(883\) | −21.4591 | − | 13.7909i | −0.722157 | − | 0.464102i | 0.127230 | − | 0.991873i | \(-0.459391\pi\) |
−0.849387 | + | 0.527771i | \(0.823028\pi\) | |||||||
\(884\) | −0.740613 | − | 5.15108i | −0.0249095 | − | 0.173250i | ||||
\(885\) | 0.813848 | + | 1.78208i | 0.0273572 | + | 0.0599039i | ||||
\(886\) | 11.4269 | + | 25.0215i | 0.383895 | + | 0.840614i | ||||
\(887\) | −5.21169 | − | 36.2481i | −0.174992 | − | 1.21709i | −0.868148 | − | 0.496306i | \(-0.834690\pi\) |
0.693156 | − | 0.720787i | \(-0.256220\pi\) | |||||||
\(888\) | −5.69755 | − | 3.66160i | −0.191197 | − | 0.122875i | ||||
\(889\) | 2.82014 | − | 0.828069i | 0.0945846 | − | 0.0277726i | ||||
\(890\) | 0.184710 | − | 1.28469i | 0.00619149 | − | 0.0430628i | ||||
\(891\) | 1.25199 | − | 1.44488i | 0.0419433 | − | 0.0484051i | ||||
\(892\) | 0.968253 | − | 0.622258i | 0.0324195 | − | 0.0208348i | ||||
\(893\) | 24.6372 | + | 28.4328i | 0.824452 | + | 0.951469i | ||||
\(894\) | −17.0287 | − | 5.00008i | −0.569526 | − | 0.167228i | ||||
\(895\) | 0.558691 | − | 1.22336i | 0.0186750 | − | 0.0408925i | ||||
\(896\) | −1.00000 | −0.0334077 | ||||||||
\(897\) | 6.08696 | − | 4.87871i | 0.203238 | − | 0.162895i | ||||
\(898\) | 20.9852 | 0.700285 | ||||||||
\(899\) | 6.72849 | − | 14.7333i | 0.224408 | − | 0.491385i | ||||
\(900\) | 4.77964 | + | 1.40343i | 0.159321 | + | 0.0467809i | ||||
\(901\) | 4.23728 | + | 4.89008i | 0.141164 | + | 0.162912i | ||||
\(902\) | 17.7033 | − | 11.3772i | 0.589455 | − | 0.378820i | ||||
\(903\) | 1.95725 | − | 2.25879i | 0.0651333 | − | 0.0751678i | ||||
\(904\) | 1.15483 | − | 8.03200i | 0.0384090 | − | 0.267140i | ||||
\(905\) | −2.57990 | + | 0.757528i | −0.0857589 | + | 0.0251811i | ||||
\(906\) | 15.7918 | + | 10.1487i | 0.524646 | + | 0.337170i | ||||
\(907\) | −7.36949 | − | 51.2559i | −0.244700 | − | 1.70193i | −0.627928 | − | 0.778272i | \(-0.716097\pi\) |
0.383228 | − | 0.923654i | \(-0.374812\pi\) | |||||||
\(908\) | −5.61195 | − | 12.2884i | −0.186239 | − | 0.407807i | ||||
\(909\) | −3.59656 | − | 7.87537i | −0.119290 | − | 0.261210i | ||||
\(910\) | −0.0315533 | − | 0.219458i | −0.00104598 | − | 0.00727495i | ||||
\(911\) | 24.9774 | + | 16.0520i | 0.827537 | + | 0.531826i | 0.884494 | − | 0.466551i | \(-0.154504\pi\) |
−0.0569576 | + | 0.998377i | \(0.518140\pi\) | |||||||
\(912\) | −3.49496 | + | 1.02621i | −0.115730 | + | 0.0339813i | ||||
\(913\) | 1.64045 | − | 11.4096i | 0.0542909 | − | 0.377601i | ||||
\(914\) | −12.1295 | + | 13.9982i | −0.401208 | + | 0.463019i | ||||
\(915\) | −0.836899 | + | 0.537843i | −0.0276670 | + | 0.0177805i | ||||
\(916\) | 7.87745 | + | 9.09106i | 0.260278 | + | 0.300377i | ||||
\(917\) | −19.1724 | − | 5.62952i | −0.633128 | − | 0.185903i | ||||
\(918\) | 1.32907 | − | 2.91025i | 0.0438657 | − | 0.0960526i | ||||
\(919\) | 15.3391 | 0.505989 | 0.252994 | − | 0.967468i | \(-0.418585\pi\) | ||||
0.252994 | + | 0.967468i | \(0.418585\pi\) | |||||||
\(920\) | −0.650141 | + | 0.0681601i | −0.0214345 | + | 0.00224717i | ||||
\(921\) | 9.98437 | 0.328996 | ||||||||
\(922\) | −9.09332 | + | 19.9116i | −0.299473 | + | 0.655754i | ||||
\(923\) | −6.67546 | − | 1.96009i | −0.219726 | − | 0.0645172i | ||||
\(924\) | −1.25199 | − | 1.44488i | −0.0411875 | − | 0.0475329i | ||||
\(925\) | 28.3819 | − | 18.2399i | 0.933192 | − | 0.599726i | ||||
\(926\) | 5.39555 | − | 6.22679i | 0.177309 | − | 0.204625i | ||||
\(927\) | 0.432034 | − | 3.00486i | 0.0141898 | − | 0.0986926i | ||||
\(928\) | 3.33112 | − | 0.978105i | 0.109349 | − | 0.0321079i | ||||
\(929\) | −36.1523 | − | 23.2337i | −1.18612 | − | 0.762272i | −0.209617 | − | 0.977784i | \(-0.567222\pi\) |
−0.976501 | + | 0.215512i | \(0.930858\pi\) | |||||||
\(930\) | −0.0905013 | − | 0.629450i | −0.00296765 | − | 0.0206405i | ||||
\(931\) | 1.51315 | + | 3.31334i | 0.0495915 | + | 0.108590i | ||||
\(932\) | 6.19487 | + | 13.5649i | 0.202920 | + | 0.444332i | ||||
\(933\) | −2.15799 | − | 15.0092i | −0.0706495 | − | 0.491378i | ||||
\(934\) | −34.8024 | − | 22.3661i | −1.13877 | − | 0.731842i | ||||
\(935\) | −0.799974 | + | 0.234894i | −0.0261620 | + | 0.00768184i | ||||
\(936\) | −0.231487 | + | 1.61003i | −0.00756639 | + | 0.0526254i | ||||
\(937\) | 20.2752 | − | 23.3989i | 0.662363 | − | 0.764408i | −0.320798 | − | 0.947148i | \(-0.603951\pi\) |
0.983161 | + | 0.182739i | \(0.0584965\pi\) | |||||||
\(938\) | −7.35273 | + | 4.72531i | −0.240075 | + | 0.154287i | ||||
\(939\) | 7.11065 | + | 8.20613i | 0.232047 | + | 0.267797i | ||||
\(940\) | −1.35083 | − | 0.396640i | −0.0440593 | − | 0.0129370i | ||||
\(941\) | 12.9001 | − | 28.2473i | 0.420532 | − | 0.920837i | −0.574237 | − | 0.818689i | \(-0.694701\pi\) |
0.994769 | − | 0.102148i | \(-0.0325715\pi\) | |||||||
\(942\) | 4.18484 | 0.136349 | ||||||||
\(943\) | 51.9247 | + | 9.50999i | 1.69090 | + | 0.309688i | ||||
\(944\) | −14.3729 | −0.467797 | ||||||||
\(945\) | 0.0566239 | − | 0.123989i | 0.00184197 | − | 0.00403336i | ||||
\(946\) | 5.48267 | + | 1.60986i | 0.178257 | + | 0.0523410i | ||||
\(947\) | 1.09107 | + | 1.25916i | 0.0354549 | + | 0.0409172i | 0.773200 | − | 0.634162i | \(-0.218655\pi\) |
−0.737745 | + | 0.675079i | \(0.764109\pi\) | |||||||
\(948\) | 1.79819 | − | 1.15563i | 0.0584026 | − | 0.0375330i | ||||
\(949\) | 3.19328 | − | 3.68524i | 0.103658 | − | 0.119628i | ||||
\(950\) | 2.58228 | − | 17.9601i | 0.0837802 | − | 0.582704i | ||||
\(951\) | 13.0354 | − | 3.82754i | 0.422702 | − | 0.124117i | ||||
\(952\) | −2.69148 | − | 1.72971i | −0.0872314 | − | 0.0560602i | ||||
\(953\) | −4.74558 | − | 33.0062i | −0.153724 | − | 1.06918i | −0.909906 | − | 0.414814i | \(-0.863847\pi\) |
0.756182 | − | 0.654362i | \(-0.227063\pi\) | |||||||
\(954\) | −0.840148 | − | 1.83967i | −0.0272008 | − | 0.0595614i | ||||
\(955\) | 1.36384 | + | 2.98639i | 0.0441328 | + | 0.0966373i | ||||
\(956\) | 1.55347 | + | 10.8047i | 0.0502430 | + | 0.349447i | ||||
\(957\) | 5.58377 | + | 3.58847i | 0.180498 | + | 0.115999i | ||||
\(958\) | 2.35395 | − | 0.691184i | 0.0760528 | − | 0.0223311i | ||||
\(959\) | −1.94139 | + | 13.5027i | −0.0626907 | + | 0.436024i | ||||
\(960\) | 0.0892619 | − | 0.103014i | 0.00288092 | − | 0.00332475i | ||||
\(961\) | −7.76831 | + | 4.99239i | −0.250591 | + | 0.161045i | ||||
\(962\) | 7.21418 | + | 8.32561i | 0.232595 | + | 0.268429i | ||||
\(963\) | 9.30530 | + | 2.73228i | 0.299859 | + | 0.0880465i | ||||
\(964\) | 7.01909 | − | 15.3697i | 0.226070 | − | 0.495024i | ||||
\(965\) | 2.30288 | 0.0741324 | ||||||||
\(966\) | 0.183838 | − | 4.79231i | 0.00591490 | − | 0.154190i | ||||
\(967\) | 27.4986 | 0.884295 | 0.442148 | − | 0.896942i | \(-0.354217\pi\) | ||||
0.442148 | + | 0.896942i | \(0.354217\pi\) | |||||||
\(968\) | −3.05116 | + | 6.68111i | −0.0980681 | + | 0.214739i | ||||
\(969\) | −11.1817 | − | 3.28323i | −0.359207 | − | 0.105473i | ||||
\(970\) | 1.02062 | + | 1.17786i | 0.0327703 | + | 0.0378189i | ||||
\(971\) | 21.3635 | − | 13.7295i | 0.685586 | − | 0.440600i | −0.150928 | − | 0.988545i | \(-0.548226\pi\) |
0.836514 | + | 0.547945i | \(0.184590\pi\) | |||||||
\(972\) | −0.654861 | + | 0.755750i | −0.0210047 | + | 0.0242407i | ||||
\(973\) | −0.423354 | + | 2.94449i | −0.0135721 | + | 0.0943960i | ||||
\(974\) | −16.0116 | + | 4.70143i | −0.513045 | + | 0.150644i | ||||
\(975\) | −6.81643 | − | 4.38065i | −0.218300 | − | 0.140293i | ||||
\(976\) | −1.03867 | − | 7.22414i | −0.0332471 | − | 0.231239i | ||||
\(977\) | 13.3368 | + | 29.2035i | 0.426681 | + | 0.934302i | 0.993854 | + | 0.110703i | \(0.0353102\pi\) |
−0.567172 | + | 0.823599i | \(0.691963\pi\) | |||||||
\(978\) | 8.48793 | + | 18.5860i | 0.271414 | + | 0.594314i | ||||
\(979\) | 2.59075 | + | 18.0191i | 0.0828007 | + | 0.575892i | ||||
\(980\) | −0.114669 | − | 0.0736930i | −0.00366295 | − | 0.00235404i | ||||
\(981\) | 14.4671 | − | 4.24791i | 0.461897 | − | 0.135625i | ||||
\(982\) | 2.70652 | − | 18.8243i | 0.0863687 | − | 0.600707i | ||||
\(983\) | 2.72470 | − | 3.14447i | 0.0869045 | − | 0.100293i | −0.710632 | − | 0.703564i | \(-0.751591\pi\) |
0.797536 | + | 0.603271i | \(0.206136\pi\) | |||||||
\(984\) | −9.25980 | + | 5.95091i | −0.295192 | + | 0.189708i | ||||
\(985\) | 0.583010 | + | 0.672829i | 0.0185762 | + | 0.0214381i | ||||
\(986\) | 10.6575 | + | 3.12932i | 0.339403 | + | 0.0996579i | ||||
\(987\) | 4.29067 | − | 9.39525i | 0.136573 | − | 0.299054i | ||||
\(988\) | 5.92484 | 0.188494 | ||||||||
\(989\) | 7.28152 | + | 12.3466i | 0.231539 | + | 0.392598i | ||||
\(990\) | 0.260597 | 0.00828232 | ||||||||
\(991\) | −17.3829 | + | 38.0633i | −0.552187 | + | 1.20912i | 0.403565 | + | 0.914951i | \(0.367771\pi\) |
−0.955753 | + | 0.294171i | \(0.904956\pi\) | |||||||
\(992\) | 4.47640 | + | 1.31439i | 0.142126 | + | 0.0417319i | ||||
\(993\) | 7.90012 | + | 9.11723i | 0.250703 | + | 0.289326i | ||||
\(994\) | −3.59824 | + | 2.31245i | −0.114129 | + | 0.0733463i | ||||
\(995\) | −2.04737 | + | 2.36280i | −0.0649061 | + | 0.0749057i | ||||
\(996\) | −0.858044 | + | 5.96783i | −0.0271882 | + | 0.189098i | ||||
\(997\) | 29.4801 | − | 8.65613i | 0.933643 | − | 0.274142i | 0.220682 | − | 0.975346i | \(-0.429172\pi\) |
0.712961 | + | 0.701203i | \(0.247354\pi\) | |||||||
\(998\) | 15.7562 | + | 10.1259i | 0.498753 | + | 0.320529i | ||||
\(999\) | 0.963855 | + | 6.70376i | 0.0304950 | + | 0.212098i |
(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 | 966.2.q.a.673.1 | yes | 10 | |
23.4 | even | 11 | inner | 966.2.q.a.211.1 | ✓ | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.q.a.211.1 | ✓ | 10 | 23.4 | even | 11 | inner | |
966.2.q.a.673.1 | yes | 10 | 1.1 | even | 1 | trivial |