Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,3,Mod(119,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.119");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.b (of order \(2\), degree \(1\), 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: | \(4.82290067918\) |
Analytic rank: | \(0\) |
Dimension: | \(38\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 119.19 | ||
Character | \(\chi\) | \(=\) | 177.119 |
Dual form | 177.3.b.a.119.20 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 0.00789729i | − | 0.00394865i | −0.999998 | − | 0.00197432i | \(-0.999372\pi\) | ||
0.999998 | − | 0.00197432i | \(-0.000628447\pi\) | |||||||
\(3\) | 2.45651 | + | 1.72208i | 0.818838 | + | 0.574025i | ||||
\(4\) | 3.99994 | 0.999984 | ||||||||
\(5\) | 4.78355i | 0.956710i | 0.878167 | + | 0.478355i | \(0.158767\pi\) | ||||
−0.878167 | + | 0.478355i | \(0.841233\pi\) | |||||||
\(6\) | 0.0135997 | − | 0.0193998i | 0.00226662 | − | 0.00323330i | ||||
\(7\) | 0.326558 | 0.0466511 | 0.0233255 | − | 0.999728i | \(-0.492575\pi\) | ||||
0.0233255 | + | 0.999728i | \(0.492575\pi\) | |||||||
\(8\) | − | 0.0631778i | − | 0.00789723i | ||||||
\(9\) | 3.06891 | + | 8.46060i | 0.340990 | + | 0.940067i | ||||
\(10\) | 0.0377771 | 0.00377771 | ||||||||
\(11\) | − | 7.17249i | − | 0.652044i | −0.945362 | − | 0.326022i | \(-0.894292\pi\) | ||
0.945362 | − | 0.326022i | \(-0.105708\pi\) | |||||||
\(12\) | 9.82590 | + | 6.88819i | 0.818825 | + | 0.574016i | ||||
\(13\) | −19.3728 | −1.49021 | −0.745107 | − | 0.666945i | \(-0.767602\pi\) | ||||
−0.745107 | + | 0.666945i | \(0.767602\pi\) | |||||||
\(14\) | − | 0.00257892i | − | 0.000184209i | ||||||
\(15\) | −8.23763 | + | 11.7509i | −0.549176 | + | 0.783390i | ||||
\(16\) | 15.9993 | 0.999953 | ||||||||
\(17\) | − | 10.2788i | − | 0.604635i | −0.953207 | − | 0.302318i | \(-0.902240\pi\) | ||
0.953207 | − | 0.302318i | \(-0.0977603\pi\) | |||||||
\(18\) | 0.0668158 | − | 0.0242361i | 0.00371199 | − | 0.00134645i | ||||
\(19\) | −1.08623 | −0.0571700 | −0.0285850 | − | 0.999591i | \(-0.509100\pi\) | ||||
−0.0285850 | + | 0.999591i | \(0.509100\pi\) | |||||||
\(20\) | 19.1339i | 0.956695i | ||||||||
\(21\) | 0.802193 | + | 0.562357i | 0.0381997 | + | 0.0267789i | ||||
\(22\) | −0.0566432 | −0.00257469 | ||||||||
\(23\) | − | 32.0040i | − | 1.39148i | −0.718295 | − | 0.695739i | \(-0.755077\pi\) | ||
0.718295 | − | 0.695739i | \(-0.244923\pi\) | |||||||
\(24\) | 0.108797 | − | 0.155197i | 0.00453321 | − | 0.00646655i | ||||
\(25\) | 2.11765 | 0.0847058 | ||||||||
\(26\) | 0.152993i | 0.00588433i | ||||||||
\(27\) | −7.03097 | + | 26.0685i | −0.260406 | + | 0.965499i | ||||
\(28\) | 1.30621 | 0.0466504 | ||||||||
\(29\) | 29.7395i | 1.02550i | 0.858538 | + | 0.512750i | \(0.171373\pi\) | ||||
−0.858538 | + | 0.512750i | \(0.828627\pi\) | |||||||
\(30\) | 0.0927999 | + | 0.0650550i | 0.00309333 | + | 0.00216850i | ||||
\(31\) | 41.9784 | 1.35414 | 0.677071 | − | 0.735918i | \(-0.263249\pi\) | ||||
0.677071 | + | 0.735918i | \(0.263249\pi\) | |||||||
\(32\) | − | 0.379062i | − | 0.0118457i | ||||||
\(33\) | 12.3516 | − | 17.6193i | 0.374290 | − | 0.533918i | ||||
\(34\) | −0.0811747 | −0.00238749 | ||||||||
\(35\) | 1.56211i | 0.0446316i | ||||||||
\(36\) | 12.2755 | + | 33.8419i | 0.340985 | + | 0.940052i | ||||
\(37\) | 15.1073 | 0.408305 | 0.204153 | − | 0.978939i | \(-0.434556\pi\) | ||||
0.204153 | + | 0.978939i | \(0.434556\pi\) | |||||||
\(38\) | 0.00857827i | 0.000225744i | ||||||||
\(39\) | −47.5895 | − | 33.3614i | −1.22024 | − | 0.855420i | ||||
\(40\) | 0.302214 | 0.00755536 | ||||||||
\(41\) | 12.5253i | 0.305496i | 0.988265 | + | 0.152748i | \(0.0488123\pi\) | ||||
−0.988265 | + | 0.152748i | \(0.951188\pi\) | |||||||
\(42\) | 0.00444110 | − | 0.00633515i | 0.000105740 | − | 0.000150837i | ||||
\(43\) | 1.19642 | 0.0278236 | 0.0139118 | − | 0.999903i | \(-0.495572\pi\) | ||||
0.0139118 | + | 0.999903i | \(0.495572\pi\) | |||||||
\(44\) | − | 28.6895i | − | 0.652034i | ||||||
\(45\) | −40.4717 | + | 14.6803i | −0.899371 | + | 0.326229i | ||||
\(46\) | −0.252745 | −0.00549445 | ||||||||
\(47\) | − | 75.4877i | − | 1.60612i | −0.595897 | − | 0.803061i | \(-0.703203\pi\) | ||
0.595897 | − | 0.803061i | \(-0.296797\pi\) | |||||||
\(48\) | 39.3024 | + | 27.5519i | 0.818799 | + | 0.573998i | ||||
\(49\) | −48.8934 | −0.997824 | ||||||||
\(50\) | − | 0.0167237i | − | 0.000334473i | ||||||
\(51\) | 17.7009 | − | 25.2500i | 0.347076 | − | 0.495098i | ||||
\(52\) | −77.4899 | −1.49019 | ||||||||
\(53\) | − | 69.0255i | − | 1.30237i | −0.758920 | − | 0.651184i | \(-0.774273\pi\) | ||
0.758920 | − | 0.651184i | \(-0.225727\pi\) | |||||||
\(54\) | 0.205870 | + | 0.0555256i | 0.00381241 | + | 0.00102825i | ||||
\(55\) | 34.3100 | 0.623817 | ||||||||
\(56\) | − | 0.0206312i | − | 0.000368414i | ||||||
\(57\) | −2.66834 | − | 1.87057i | −0.0468129 | − | 0.0328170i | ||||
\(58\) | 0.234861 | 0.00404933 | ||||||||
\(59\) | 7.68115i | 0.130189i | ||||||||
\(60\) | −32.9500 | + | 47.0027i | −0.549167 | + | 0.783378i | ||||
\(61\) | −87.2267 | −1.42995 | −0.714973 | − | 0.699152i | \(-0.753561\pi\) | ||||
−0.714973 | + | 0.699152i | \(0.753561\pi\) | |||||||
\(62\) | − | 0.331516i | − | 0.00534703i | ||||||
\(63\) | 1.00218 | + | 2.76287i | 0.0159076 | + | 0.0438551i | ||||
\(64\) | 63.9940 | 0.999906 | ||||||||
\(65\) | − | 92.6707i | − | 1.42570i | ||||||
\(66\) | −0.139145 | − | 0.0975439i | −0.00210825 | − | 0.00147794i | ||||
\(67\) | −37.6499 | −0.561938 | −0.280969 | − | 0.959717i | \(-0.590656\pi\) | ||||
−0.280969 | + | 0.959717i | \(0.590656\pi\) | |||||||
\(68\) | − | 41.1146i | − | 0.604626i | ||||||
\(69\) | 55.1133 | − | 78.6182i | 0.798743 | − | 1.13939i | ||||
\(70\) | 0.0123364 | 0.000176234 | ||||||||
\(71\) | − | 36.3578i | − | 0.512081i | −0.966666 | − | 0.256041i | \(-0.917582\pi\) | ||
0.966666 | − | 0.256041i | \(-0.0824181\pi\) | |||||||
\(72\) | 0.534522 | − | 0.193887i | 0.00742392 | − | 0.00269288i | ||||
\(73\) | 25.2915 | 0.346459 | 0.173230 | − | 0.984881i | \(-0.444580\pi\) | ||||
0.173230 | + | 0.984881i | \(0.444580\pi\) | |||||||
\(74\) | − | 0.119307i | − | 0.00161225i | ||||||
\(75\) | 5.20203 | + | 3.64675i | 0.0693603 | + | 0.0486233i | ||||
\(76\) | −4.34485 | −0.0571691 | ||||||||
\(77\) | − | 2.34223i | − | 0.0304186i | ||||||
\(78\) | −0.263465 | + | 0.375828i | −0.00337775 | + | 0.00481831i | ||||
\(79\) | −103.938 | −1.31567 | −0.657836 | − | 0.753161i | \(-0.728528\pi\) | ||||
−0.657836 | + | 0.753161i | \(0.728528\pi\) | |||||||
\(80\) | 76.5332i | 0.956665i | ||||||||
\(81\) | −62.1635 | + | 51.9297i | −0.767451 | + | 0.641107i | ||||
\(82\) | 0.0989162 | 0.00120630 | ||||||||
\(83\) | 72.1954i | 0.869824i | 0.900473 | + | 0.434912i | \(0.143220\pi\) | ||||
−0.900473 | + | 0.434912i | \(0.856780\pi\) | |||||||
\(84\) | 3.20872 | + | 2.24939i | 0.0381991 | + | 0.0267785i | ||||
\(85\) | 49.1692 | 0.578461 | ||||||||
\(86\) | − | 0.00944845i | − | 0.000109866i | ||||||
\(87\) | −51.2136 | + | 73.0554i | −0.588662 | + | 0.839718i | ||||
\(88\) | −0.453142 | −0.00514934 | ||||||||
\(89\) | 143.843i | 1.61622i | 0.589034 | + | 0.808108i | \(0.299509\pi\) | ||||
−0.589034 | + | 0.808108i | \(0.700491\pi\) | |||||||
\(90\) | 0.115935 | + | 0.319617i | 0.00128816 | + | 0.00355130i | ||||
\(91\) | −6.32633 | −0.0695201 | ||||||||
\(92\) | − | 128.014i | − | 1.39146i | ||||||
\(93\) | 103.120 | + | 72.2900i | 1.10882 | + | 0.777311i | ||||
\(94\) | −0.596149 | −0.00634201 | ||||||||
\(95\) | − | 5.19603i | − | 0.0546951i | ||||||
\(96\) | 0.652773 | − | 0.931171i | 0.00679972 | − | 0.00969970i | ||||
\(97\) | 57.9703 | 0.597632 | 0.298816 | − | 0.954311i | \(-0.403408\pi\) | ||||
0.298816 | + | 0.954311i | \(0.403408\pi\) | |||||||
\(98\) | 0.386125i | 0.00394005i | ||||||||
\(99\) | 60.6836 | − | 22.0117i | 0.612965 | − | 0.222341i | ||||
\(100\) | 8.47045 | 0.0847045 | ||||||||
\(101\) | − | 139.103i | − | 1.37726i | −0.725113 | − | 0.688629i | \(-0.758213\pi\) | ||
0.725113 | − | 0.688629i | \(-0.241787\pi\) | |||||||
\(102\) | −0.199407 | − | 0.139789i | −0.00195497 | − | 0.00137048i | ||||
\(103\) | 24.0668 | 0.233658 | 0.116829 | − | 0.993152i | \(-0.462727\pi\) | ||||
0.116829 | + | 0.993152i | \(0.462727\pi\) | |||||||
\(104\) | 1.22393i | 0.0117686i | ||||||||
\(105\) | −2.69006 | + | 3.83733i | −0.0256196 | + | 0.0365460i | ||||
\(106\) | −0.545114 | −0.00514259 | ||||||||
\(107\) | 17.8500i | 0.166822i | 0.996515 | + | 0.0834111i | \(0.0265815\pi\) | ||||
−0.996515 | + | 0.0834111i | \(0.973419\pi\) | |||||||
\(108\) | −28.1234 | + | 104.272i | −0.260402 | + | 0.965484i | ||||
\(109\) | 27.7625 | 0.254702 | 0.127351 | − | 0.991858i | \(-0.459353\pi\) | ||||
0.127351 | + | 0.991858i | \(0.459353\pi\) | |||||||
\(110\) | − | 0.270956i | − | 0.00246323i | ||||||
\(111\) | 37.1112 | + | 26.0159i | 0.334336 | + | 0.234377i | ||||
\(112\) | 5.22468 | 0.0466489 | ||||||||
\(113\) | − | 5.59084i | − | 0.0494764i | −0.999694 | − | 0.0247382i | \(-0.992125\pi\) | ||
0.999694 | − | 0.0247382i | \(-0.00787522\pi\) | |||||||
\(114\) | −0.0147724 | + | 0.0210726i | −0.000129583 | + | 0.000184848i | ||||
\(115\) | 153.093 | 1.33124 | ||||||||
\(116\) | 118.956i | 1.02548i | ||||||||
\(117\) | −59.4534 | − | 163.905i | −0.508149 | − | 1.40090i | ||||
\(118\) | 0.0606602 | 0.000514070 | ||||||||
\(119\) | − | 3.35662i | − | 0.0282069i | ||||||
\(120\) | 0.742393 | + | 0.520436i | 0.00618661 | + | 0.00433697i | ||||
\(121\) | 69.5554 | 0.574838 | ||||||||
\(122\) | 0.688855i | 0.00564635i | ||||||||
\(123\) | −21.5696 | + | 30.7687i | −0.175362 | + | 0.250152i | ||||
\(124\) | 167.911 | 1.35412 | ||||||||
\(125\) | 129.719i | 1.03775i | ||||||||
\(126\) | 0.0218192 | − | 0.00791448i | 0.000173168 | − | 6.28134e-5i | ||||
\(127\) | −21.7333 | −0.171128 | −0.0855641 | − | 0.996333i | \(-0.527269\pi\) | ||||
−0.0855641 | + | 0.996333i | \(0.527269\pi\) | |||||||
\(128\) | − | 2.02163i | − | 0.0157940i | ||||||
\(129\) | 2.93901 | + | 2.06032i | 0.0227831 | + | 0.0159715i | ||||
\(130\) | −0.731847 | −0.00562960 | ||||||||
\(131\) | 234.990i | 1.79382i | 0.442216 | + | 0.896909i | \(0.354192\pi\) | ||||
−0.442216 | + | 0.896909i | \(0.645808\pi\) | |||||||
\(132\) | 49.4055 | − | 70.4761i | 0.374284 | − | 0.533910i | ||||
\(133\) | −0.354717 | −0.00266704 | ||||||||
\(134\) | 0.297332i | 0.00221889i | ||||||||
\(135\) | −124.700 | − | 33.6330i | −0.923703 | − | 0.249133i | ||||
\(136\) | −0.649392 | −0.00477494 | ||||||||
\(137\) | − | 21.1075i | − | 0.154069i | −0.997028 | − | 0.0770346i | \(-0.975455\pi\) | ||
0.997028 | − | 0.0770346i | \(-0.0245452\pi\) | |||||||
\(138\) | −0.620871 | − | 0.435246i | −0.00449906 | − | 0.00315395i | ||||
\(139\) | −166.049 | −1.19459 | −0.597297 | − | 0.802020i | \(-0.703759\pi\) | ||||
−0.597297 | + | 0.802020i | \(0.703759\pi\) | |||||||
\(140\) | 6.24832i | 0.0446309i | ||||||||
\(141\) | 129.996 | − | 185.437i | 0.921954 | − | 1.31515i | ||||
\(142\) | −0.287128 | −0.00202203 | ||||||||
\(143\) | 138.951i | 0.971686i | ||||||||
\(144\) | 49.1003 | + | 135.363i | 0.340974 | + | 0.940023i | ||||
\(145\) | −142.260 | −0.981106 | ||||||||
\(146\) | − | 0.199735i | − | 0.00136804i | ||||||
\(147\) | −120.107 | − | 84.1981i | −0.817056 | − | 0.572776i | ||||
\(148\) | 60.4282 | 0.408299 | ||||||||
\(149\) | 131.101i | 0.879874i | 0.898029 | + | 0.439937i | \(0.144999\pi\) | ||||
−0.898029 | + | 0.439937i | \(0.855001\pi\) | |||||||
\(150\) | 0.0287994 | − | 0.0410819i | 0.000191996 | − | 0.000273879i | ||||
\(151\) | −143.720 | −0.951790 | −0.475895 | − | 0.879502i | \(-0.657876\pi\) | ||||
−0.475895 | + | 0.879502i | \(0.657876\pi\) | |||||||
\(152\) | 0.0686256i | 0.000451484i | ||||||||
\(153\) | 86.9648 | − | 31.5447i | 0.568398 | − | 0.206175i | ||||
\(154\) | −0.0184973 | −0.000120112 | ||||||||
\(155\) | 200.806i | 1.29552i | ||||||||
\(156\) | −190.355 | − | 133.444i | −1.22022 | − | 0.855407i | ||||
\(157\) | −116.809 | −0.744006 | −0.372003 | − | 0.928231i | \(-0.621329\pi\) | ||||
−0.372003 | + | 0.928231i | \(0.621329\pi\) | |||||||
\(158\) | 0.820829i | 0.00519512i | ||||||||
\(159\) | 118.867 | − | 169.562i | 0.747592 | − | 1.06643i | ||||
\(160\) | 1.81326 | 0.0113329 | ||||||||
\(161\) | − | 10.4511i | − | 0.0649140i | ||||||
\(162\) | 0.410104 | + | 0.490924i | 0.00253151 | + | 0.00303039i | ||||
\(163\) | 240.382 | 1.47474 | 0.737369 | − | 0.675491i | \(-0.236068\pi\) | ||||
0.737369 | + | 0.675491i | \(0.236068\pi\) | |||||||
\(164\) | 50.1006i | 0.305491i | ||||||||
\(165\) | 84.2828 | + | 59.0843i | 0.510805 | + | 0.358087i | ||||
\(166\) | 0.570148 | 0.00343463 | ||||||||
\(167\) | 153.282i | 0.917859i | 0.888473 | + | 0.458929i | \(0.151767\pi\) | ||||
−0.888473 | + | 0.458929i | \(0.848233\pi\) | |||||||
\(168\) | 0.0355285 | − | 0.0506808i | 0.000211479 | − | 0.000301672i | ||||
\(169\) | 206.305 | 1.22074 | ||||||||
\(170\) | − | 0.388303i | − | 0.00228414i | ||||||
\(171\) | −3.33354 | − | 9.19015i | −0.0194944 | − | 0.0537436i | ||||
\(172\) | 4.78559 | 0.0278232 | ||||||||
\(173\) | − | 198.430i | − | 1.14699i | −0.819208 | − | 0.573497i | \(-0.805586\pi\) | ||
0.819208 | − | 0.573497i | \(-0.194414\pi\) | |||||||
\(174\) | 0.576940 | + | 0.404449i | 0.00331575 | + | 0.00232442i | ||||
\(175\) | 0.691534 | 0.00395162 | ||||||||
\(176\) | − | 114.754i | − | 0.652014i | ||||||
\(177\) | −13.2275 | + | 18.8688i | −0.0747317 | + | 0.106604i | ||||
\(178\) | 1.13597 | 0.00638187 | ||||||||
\(179\) | − | 84.3641i | − | 0.471308i | −0.971837 | − | 0.235654i | \(-0.924277\pi\) | ||
0.971837 | − | 0.235654i | \(-0.0757232\pi\) | |||||||
\(180\) | −161.884 | + | 58.7203i | −0.899357 | + | 0.326224i | ||||
\(181\) | −300.804 | −1.66190 | −0.830950 | − | 0.556348i | \(-0.812202\pi\) | ||||
−0.830950 | + | 0.556348i | \(0.812202\pi\) | |||||||
\(182\) | 0.0499609i | 0.000274510i | ||||||||
\(183\) | −214.274 | − | 150.211i | −1.17089 | − | 0.820825i | ||||
\(184\) | −2.02194 | −0.0109888 | ||||||||
\(185\) | 72.2665i | 0.390630i | ||||||||
\(186\) | 0.570895 | − | 0.814372i | 0.00306933 | − | 0.00437835i | ||||
\(187\) | −73.7246 | −0.394249 | ||||||||
\(188\) | − | 301.946i | − | 1.60610i | ||||||
\(189\) | −2.29602 | + | 8.51286i | −0.0121482 | + | 0.0450416i | ||||
\(190\) | −0.0410346 | −0.000215971 | ||||||||
\(191\) | 62.9427i | 0.329543i | 0.986332 | + | 0.164771i | \(0.0526886\pi\) | ||||
−0.986332 | + | 0.164771i | \(0.947311\pi\) | |||||||
\(192\) | 157.202 | + | 110.203i | 0.818761 | + | 0.573971i | ||||
\(193\) | −52.7589 | −0.273362 | −0.136681 | − | 0.990615i | \(-0.543644\pi\) | ||||
−0.136681 | + | 0.990615i | \(0.543644\pi\) | |||||||
\(194\) | − | 0.457808i | − | 0.00235984i | ||||||
\(195\) | 159.586 | − | 227.647i | 0.818389 | − | 1.16742i | ||||
\(196\) | −195.570 | −0.997808 | ||||||||
\(197\) | − | 43.3687i | − | 0.220146i | −0.993924 | − | 0.110073i | \(-0.964892\pi\) | ||
0.993924 | − | 0.110073i | \(-0.0351084\pi\) | |||||||
\(198\) | −0.173833 | − | 0.479236i | −0.000877945 | − | 0.00242038i | ||||
\(199\) | 316.929 | 1.59261 | 0.796304 | − | 0.604896i | \(-0.206785\pi\) | ||||
0.796304 | + | 0.604896i | \(0.206785\pi\) | |||||||
\(200\) | − | 0.133788i | − | 0.000668941i | ||||||
\(201\) | −92.4874 | − | 64.8359i | −0.460136 | − | 0.322567i | ||||
\(202\) | −1.09854 | −0.00543831 | ||||||||
\(203\) | 9.71166i | 0.0478407i | ||||||||
\(204\) | 70.8024 | − | 100.998i | 0.347070 | − | 0.495090i | ||||
\(205\) | −59.9156 | −0.292271 | ||||||||
\(206\) | − | 0.190062i | − | 0.000922633i | ||||||
\(207\) | 270.773 | − | 98.2175i | 1.30808 | − | 0.474481i | ||||
\(208\) | −309.950 | −1.49014 | ||||||||
\(209\) | 7.79097i | 0.0372773i | ||||||||
\(210\) | 0.0303045 | + | 0.0212442i | 0.000144307 | + | 0.000101163i | ||||
\(211\) | −6.60578 | −0.0313070 | −0.0156535 | − | 0.999877i | \(-0.504983\pi\) | ||||
−0.0156535 | + | 0.999877i | \(0.504983\pi\) | |||||||
\(212\) | − | 276.098i | − | 1.30235i | ||||||
\(213\) | 62.6108 | − | 89.3134i | 0.293948 | − | 0.419312i | ||||
\(214\) | 0.140967 | 0.000658722 | ||||||||
\(215\) | 5.72312i | 0.0266192i | ||||||||
\(216\) | 1.64695 | + | 0.444201i | 0.00762477 | + | 0.00205649i | ||||
\(217\) | 13.7084 | 0.0631722 | ||||||||
\(218\) | − | 0.219249i | − | 0.00100573i | ||||||
\(219\) | 62.1290 | + | 43.5539i | 0.283694 | + | 0.198876i | ||||
\(220\) | 137.238 | 0.623808 | ||||||||
\(221\) | 199.129i | 0.901036i | ||||||||
\(222\) | 0.205455 | − | 0.293078i | 0.000925473 | − | 0.00132017i | ||||
\(223\) | 136.161 | 0.610587 | 0.305294 | − | 0.952258i | \(-0.401245\pi\) | ||||
0.305294 | + | 0.952258i | \(0.401245\pi\) | |||||||
\(224\) | − | 0.123786i | − | 0.000552614i | ||||||
\(225\) | 6.49887 | + | 17.9166i | 0.0288839 | + | 0.0796292i | ||||
\(226\) | −0.0441525 | −0.000195365 | ||||||||
\(227\) | 405.806i | 1.78769i | 0.448376 | + | 0.893845i | \(0.352003\pi\) | ||||
−0.448376 | + | 0.893845i | \(0.647997\pi\) | |||||||
\(228\) | −10.6732 | − | 7.48216i | −0.0468122 | − | 0.0328165i | ||||
\(229\) | −347.346 | −1.51680 | −0.758398 | − | 0.651791i | \(-0.774018\pi\) | ||||
−0.758398 | + | 0.651791i | \(0.774018\pi\) | |||||||
\(230\) | − | 1.20902i | − | 0.00525660i | ||||||
\(231\) | 4.03350 | − | 5.75372i | 0.0174610 | − | 0.0249079i | ||||
\(232\) | 1.87888 | 0.00809860 | ||||||||
\(233\) | − | 461.344i | − | 1.98002i | −0.141009 | − | 0.990008i | \(-0.545035\pi\) | ||
0.141009 | − | 0.990008i | \(-0.454965\pi\) | |||||||
\(234\) | −1.29441 | + | 0.469521i | −0.00553166 | + | 0.00200650i | ||||
\(235\) | 361.099 | 1.53659 | ||||||||
\(236\) | 30.7241i | 0.130187i | ||||||||
\(237\) | −255.325 | − | 178.989i | −1.07732 | − | 0.755229i | ||||
\(238\) | −0.0265082 | −0.000111379 | ||||||||
\(239\) | 438.371i | 1.83419i | 0.398670 | + | 0.917094i | \(0.369472\pi\) | ||||
−0.398670 | + | 0.917094i | \(0.630528\pi\) | |||||||
\(240\) | −131.796 | + | 188.005i | −0.549150 | + | 0.783354i | ||||
\(241\) | −136.775 | −0.567530 | −0.283765 | − | 0.958894i | \(-0.591584\pi\) | ||||
−0.283765 | + | 0.958894i | \(0.591584\pi\) | |||||||
\(242\) | − | 0.549299i | − | 0.00226983i | ||||||
\(243\) | −242.132 | + | 20.5157i | −0.996430 | + | 0.0844266i | ||||
\(244\) | −348.901 | −1.42992 | ||||||||
\(245\) | − | 233.884i | − | 0.954628i | ||||||
\(246\) | 0.242989 | + | 0.170341i | 0.000987760 | + | 0.000692444i | ||||
\(247\) | 21.0433 | 0.0851955 | ||||||||
\(248\) | − | 2.65210i | − | 0.0106940i | ||||||
\(249\) | −124.326 | + | 177.349i | −0.499301 | + | 0.712245i | ||||
\(250\) | 1.02443 | 0.00409770 | ||||||||
\(251\) | − | 106.863i | − | 0.425749i | −0.977080 | − | 0.212875i | \(-0.931717\pi\) | ||
0.977080 | − | 0.212875i | \(-0.0682826\pi\) | |||||||
\(252\) | 4.00865 | + | 11.0513i | 0.0159073 | + | 0.0438545i | ||||
\(253\) | −229.548 | −0.907305 | ||||||||
\(254\) | 0.171634i | 0.000675724i | ||||||||
\(255\) | 120.785 | + | 84.6730i | 0.473665 | + | 0.332051i | ||||
\(256\) | 255.960 | 0.999844 | ||||||||
\(257\) | 113.716i | 0.442474i | 0.975220 | + | 0.221237i | \(0.0710094\pi\) | ||||
−0.975220 | + | 0.221237i | \(0.928991\pi\) | |||||||
\(258\) | 0.0162709 | − | 0.0232102i | 6.30657e−5 | − | 8.99622e-5i | ||||
\(259\) | 4.93340 | 0.0190479 | ||||||||
\(260\) | − | 370.677i | − | 1.42568i | ||||||
\(261\) | −251.614 | + | 91.2679i | −0.964038 | + | 0.349685i | ||||
\(262\) | 1.85578 | 0.00708315 | ||||||||
\(263\) | − | 75.6208i | − | 0.287532i | −0.989612 | − | 0.143766i | \(-0.954079\pi\) | ||
0.989612 | − | 0.143766i | \(-0.0459212\pi\) | |||||||
\(264\) | −1.11315 | − | 0.780345i | −0.00421648 | − | 0.00295585i | ||||
\(265\) | 330.187 | 1.24599 | ||||||||
\(266\) | 0.00280130i | 1.05312e-5i | ||||||||
\(267\) | −247.709 | + | 353.353i | −0.927749 | + | 1.32342i | ||||
\(268\) | −150.597 | −0.561929 | ||||||||
\(269\) | 154.580i | 0.574648i | 0.957833 | + | 0.287324i | \(0.0927657\pi\) | ||||
−0.957833 | + | 0.287324i | \(0.907234\pi\) | |||||||
\(270\) | −0.265609 | + | 0.984791i | −0.000983739 | + | 0.00364737i | ||||
\(271\) | 355.108 | 1.31036 | 0.655181 | − | 0.755472i | \(-0.272592\pi\) | ||||
0.655181 | + | 0.755472i | \(0.272592\pi\) | |||||||
\(272\) | − | 164.453i | − | 0.604607i | ||||||
\(273\) | −15.5407 | − | 10.8944i | −0.0569257 | − | 0.0399063i | ||||
\(274\) | −0.166692 | −0.000608365 | ||||||||
\(275\) | − | 15.1888i | − | 0.0552320i | ||||||
\(276\) | 220.450 | − | 314.468i | 0.798731 | − | 1.13938i | ||||
\(277\) | 226.249 | 0.816783 | 0.408391 | − | 0.912807i | \(-0.366090\pi\) | ||||
0.408391 | + | 0.912807i | \(0.366090\pi\) | |||||||
\(278\) | 1.31133i | 0.00471703i | ||||||||
\(279\) | 128.828 | + | 355.162i | 0.461749 | + | 1.27298i | ||||
\(280\) | 0.0986904 | 0.000352466 | ||||||||
\(281\) | − | 516.299i | − | 1.83736i | −0.394999 | − | 0.918681i | \(-0.629255\pi\) | ||
0.394999 | − | 0.918681i | \(-0.370745\pi\) | |||||||
\(282\) | −1.46445 | − | 1.02661i | −0.00519307 | − | 0.00364047i | ||||
\(283\) | −127.805 | −0.451609 | −0.225805 | − | 0.974173i | \(-0.572501\pi\) | ||||
−0.225805 | + | 0.974173i | \(0.572501\pi\) | |||||||
\(284\) | − | 145.429i | − | 0.512073i | ||||||
\(285\) | 8.94796 | − | 12.7641i | 0.0313963 | − | 0.0447864i | ||||
\(286\) | 1.09734 | 0.00383684 | ||||||||
\(287\) | 4.09025i | 0.0142517i | ||||||||
\(288\) | 3.20709 | − | 1.16331i | 0.0111357 | − | 0.00403927i | ||||
\(289\) | 183.346 | 0.634416 | ||||||||
\(290\) | 1.12347i | 0.00387404i | ||||||||
\(291\) | 142.405 | + | 99.8292i | 0.489363 | + | 0.343056i | ||||
\(292\) | 101.165 | 0.346454 | ||||||||
\(293\) | 469.558i | 1.60259i | 0.598272 | + | 0.801293i | \(0.295854\pi\) | ||||
−0.598272 | + | 0.801293i | \(0.704146\pi\) | |||||||
\(294\) | −0.664936 | + | 0.948521i | −0.00226169 | + | 0.00322626i | ||||
\(295\) | −36.7431 | −0.124553 | ||||||||
\(296\) | − | 0.954446i | − | 0.00322448i | ||||||
\(297\) | 186.976 | + | 50.4295i | 0.629548 | + | 0.169796i | ||||
\(298\) | 1.03534 | 0.00347431 | ||||||||
\(299\) | 620.007i | 2.07360i | ||||||||
\(300\) | 20.8078 | + | 14.5868i | 0.0693593 | + | 0.0486225i | ||||
\(301\) | 0.390699 | 0.00129800 | ||||||||
\(302\) | 1.13500i | 0.00375828i | ||||||||
\(303\) | 239.546 | − | 341.709i | 0.790581 | − | 1.12775i | ||||
\(304\) | −17.3789 | −0.0571673 | ||||||||
\(305\) | − | 417.253i | − | 1.36804i | ||||||
\(306\) | −0.249118 | − | 0.686787i | −0.000814111 | − | 0.00224440i | ||||
\(307\) | −199.843 | −0.650953 | −0.325477 | − | 0.945550i | \(-0.605525\pi\) | ||||
−0.325477 | + | 0.945550i | \(0.605525\pi\) | |||||||
\(308\) | − | 9.36878i | − | 0.0304181i | ||||||
\(309\) | 59.1204 | + | 41.4448i | 0.191328 | + | 0.134126i | ||||
\(310\) | 1.58582 | 0.00511555 | ||||||||
\(311\) | 281.008i | 0.903563i | 0.892129 | + | 0.451782i | \(0.149211\pi\) | ||||
−0.892129 | + | 0.451782i | \(0.850789\pi\) | |||||||
\(312\) | −2.10770 | + | 3.00660i | −0.00675545 | + | 0.00963654i | ||||
\(313\) | 35.5922 | 0.113713 | 0.0568566 | − | 0.998382i | \(-0.481892\pi\) | ||||
0.0568566 | + | 0.998382i | \(0.481892\pi\) | |||||||
\(314\) | 0.922475i | 0.00293782i | ||||||||
\(315\) | −13.2163 | + | 4.79396i | −0.0419567 | + | 0.0152189i | ||||
\(316\) | −415.746 | −1.31565 | ||||||||
\(317\) | 31.7840i | 0.100265i | 0.998743 | + | 0.0501324i | \(0.0159643\pi\) | ||||
−0.998743 | + | 0.0501324i | \(0.984036\pi\) | |||||||
\(318\) | −1.33908 | − | 0.938728i | −0.00421095 | − | 0.00295198i | ||||
\(319\) | 213.306 | 0.668671 | ||||||||
\(320\) | 306.119i | 0.956621i | ||||||||
\(321\) | −30.7390 | + | 43.8487i | −0.0957602 | + | 0.136600i | ||||
\(322\) | −0.0825358 | −0.000256322 | ||||||||
\(323\) | 11.1651i | 0.0345670i | ||||||||
\(324\) | −248.650 | + | 207.716i | −0.767439 | + | 0.641097i | ||||
\(325\) | −41.0247 | −0.126230 | ||||||||
\(326\) | − | 1.89837i | − | 0.00582321i | ||||||
\(327\) | 68.1990 | + | 47.8091i | 0.208560 | + | 0.146205i | ||||
\(328\) | 0.791324 | 0.00241257 | ||||||||
\(329\) | − | 24.6511i | − | 0.0749273i | ||||||
\(330\) | 0.466606 | − | 0.665606i | 0.00141396 | − | 0.00201699i | ||||
\(331\) | 383.342 | 1.15813 | 0.579066 | − | 0.815281i | \(-0.303417\pi\) | ||||
0.579066 | + | 0.815281i | \(0.303417\pi\) | |||||||
\(332\) | 288.777i | 0.869810i | ||||||||
\(333\) | 46.3630 | + | 127.817i | 0.139228 | + | 0.383834i | ||||
\(334\) | 1.21052 | 0.00362430 | ||||||||
\(335\) | − | 180.100i | − | 0.537612i | ||||||
\(336\) | 12.8345 | + | 8.99729i | 0.0381979 | + | 0.0267776i | ||||
\(337\) | 294.098 | 0.872693 | 0.436346 | − | 0.899779i | \(-0.356272\pi\) | ||||
0.436346 | + | 0.899779i | \(0.356272\pi\) | |||||||
\(338\) | − | 1.62925i | − | 0.00482026i | ||||||
\(339\) | 9.62784 | − | 13.7340i | 0.0284007 | − | 0.0405132i | ||||
\(340\) | 196.674 | 0.578452 | ||||||||
\(341\) | − | 301.089i | − | 0.882960i | ||||||
\(342\) | −0.0725773 | + | 0.0263260i | −0.000212214 | + | 7.69765e-5i | ||||
\(343\) | −31.9678 | −0.0932007 | ||||||||
\(344\) | − | 0.0755870i | − | 0.000219730i | ||||||
\(345\) | 376.074 | + | 263.637i | 1.09007 | + | 0.764166i | ||||
\(346\) | −1.56706 | −0.00452907 | ||||||||
\(347\) | 260.831i | 0.751674i | 0.926686 | + | 0.375837i | \(0.122645\pi\) | ||||
−0.926686 | + | 0.375837i | \(0.877355\pi\) | |||||||
\(348\) | −204.851 | + | 292.217i | −0.588653 | + | 0.839704i | ||||
\(349\) | 65.8252 | 0.188611 | 0.0943054 | − | 0.995543i | \(-0.469937\pi\) | ||||
0.0943054 | + | 0.995543i | \(0.469937\pi\) | |||||||
\(350\) | − | 0.00546124i | − | 1.56035e-5i | ||||||
\(351\) | 136.209 | − | 505.019i | 0.388061 | − | 1.43880i | ||||
\(352\) | −2.71882 | −0.00772391 | ||||||||
\(353\) | 204.142i | 0.578306i | 0.957283 | + | 0.289153i | \(0.0933736\pi\) | ||||
−0.957283 | + | 0.289153i | \(0.906626\pi\) | |||||||
\(354\) | 0.149013 | + | 0.104461i | 0.000420940 | + | 0.000295089i | ||||
\(355\) | 173.919 | 0.489913 | ||||||||
\(356\) | 575.364i | 1.61619i | ||||||||
\(357\) | 5.78035 | − | 8.24558i | 0.0161915 | − | 0.0230969i | ||||
\(358\) | −0.666248 | −0.00186103 | ||||||||
\(359\) | 347.563i | 0.968142i | 0.875029 | + | 0.484071i | \(0.160842\pi\) | ||||
−0.875029 | + | 0.484071i | \(0.839158\pi\) | |||||||
\(360\) | 0.927469 | + | 2.55691i | 0.00257630 | + | 0.00710254i | ||||
\(361\) | −359.820 | −0.996732 | ||||||||
\(362\) | 2.37553i | 0.00656225i | ||||||||
\(363\) | 170.864 | + | 119.780i | 0.470699 | + | 0.329972i | ||||
\(364\) | −25.3049 | −0.0695190 | ||||||||
\(365\) | 120.983i | 0.331461i | ||||||||
\(366\) | −1.18626 | + | 1.69218i | −0.00324115 | + | 0.00462344i | ||||
\(367\) | −147.776 | −0.402659 | −0.201329 | − | 0.979524i | \(-0.564526\pi\) | ||||
−0.201329 | + | 0.979524i | \(0.564526\pi\) | |||||||
\(368\) | − | 512.040i | − | 1.39141i | ||||||
\(369\) | −105.972 | + | 38.4392i | −0.287187 | + | 0.104171i | ||||
\(370\) | 0.570709 | 0.00154246 | ||||||||
\(371\) | − | 22.5408i | − | 0.0607569i | ||||||
\(372\) | 412.475 | + | 289.155i | 1.10881 | + | 0.777299i | ||||
\(373\) | −384.525 | −1.03090 | −0.515450 | − | 0.856920i | \(-0.672375\pi\) | ||||
−0.515450 | + | 0.856920i | \(0.672375\pi\) | |||||||
\(374\) | 0.582224i | 0.00155675i | ||||||||
\(375\) | −223.385 | + | 318.655i | −0.595694 | + | 0.849748i | ||||
\(376\) | −4.76915 | −0.0126839 | ||||||||
\(377\) | − | 576.137i | − | 1.52821i | ||||||
\(378\) | 0.0672285 | + | 0.0181323i | 0.000177853 | + | 4.79691e-5i | ||||
\(379\) | 341.583 | 0.901276 | 0.450638 | − | 0.892707i | \(-0.351197\pi\) | ||||
0.450638 | + | 0.892707i | \(0.351197\pi\) | |||||||
\(380\) | − | 20.7838i | − | 0.0546942i | ||||||
\(381\) | −53.3881 | − | 37.4263i | −0.140126 | − | 0.0982319i | ||||
\(382\) | 0.497077 | 0.00130125 | ||||||||
\(383\) | − | 537.530i | − | 1.40347i | −0.712437 | − | 0.701736i | \(-0.752409\pi\) | ||
0.712437 | − | 0.701736i | \(-0.247591\pi\) | |||||||
\(384\) | 3.48139 | − | 4.96615i | 0.00906613 | − | 0.0129327i | ||||
\(385\) | 11.2042 | 0.0291018 | ||||||||
\(386\) | 0.416652i | 0.00107941i | ||||||||
\(387\) | 3.67170 | + | 10.1224i | 0.00948759 | + | 0.0261561i | ||||
\(388\) | 231.877 | 0.597622 | ||||||||
\(389\) | − | 551.322i | − | 1.41728i | −0.705570 | − | 0.708641i | \(-0.749309\pi\) | ||
0.705570 | − | 0.708641i | \(-0.250691\pi\) | |||||||
\(390\) | −1.79779 | − | 1.26030i | −0.00460972 | − | 0.00323153i | ||||
\(391\) | −328.963 | −0.841337 | ||||||||
\(392\) | 3.08898i | 0.00788004i | ||||||||
\(393\) | −404.671 | + | 577.256i | −1.02970 | + | 1.46885i | ||||
\(394\) | −0.342495 | −0.000869277 | ||||||||
\(395\) | − | 497.193i | − | 1.25872i | ||||||
\(396\) | 242.730 | − | 88.0456i | 0.612956 | − | 0.222337i | ||||
\(397\) | −535.112 | −1.34789 | −0.673945 | − | 0.738781i | \(-0.735402\pi\) | ||||
−0.673945 | + | 0.738781i | \(0.735402\pi\) | |||||||
\(398\) | − | 2.50288i | − | 0.00628865i | ||||||
\(399\) | −0.871366 | − | 0.610849i | −0.00218387 | − | 0.00153095i | ||||
\(400\) | 33.8808 | 0.0847019 | ||||||||
\(401\) | − | 270.808i | − | 0.675331i | −0.941266 | − | 0.337666i | \(-0.890363\pi\) | ||
0.941266 | − | 0.337666i | \(-0.109637\pi\) | |||||||
\(402\) | −0.512028 | + | 0.730400i | −0.00127370 | + | 0.00181691i | ||||
\(403\) | −813.238 | −2.01796 | ||||||||
\(404\) | − | 556.404i | − | 1.37724i | ||||||
\(405\) | −248.408 | − | 297.362i | −0.613354 | − | 0.734228i | ||||
\(406\) | 0.0766958 | 0.000188906 | ||||||||
\(407\) | − | 108.357i | − | 0.266233i | ||||||
\(408\) | −1.59524 | − | 1.11830i | −0.00390990 | − | 0.00274094i | ||||
\(409\) | 714.539 | 1.74704 | 0.873520 | − | 0.486789i | \(-0.161832\pi\) | ||||
0.873520 | + | 0.486789i | \(0.161832\pi\) | |||||||
\(410\) | 0.473171i | 0.00115408i | ||||||||
\(411\) | 36.3487 | − | 51.8508i | 0.0884396 | − | 0.126158i | ||||
\(412\) | 96.2657 | 0.233655 | ||||||||
\(413\) | 2.50834i | 0.00607346i | ||||||||
\(414\) | −0.775652 | − | 2.13837i | −0.00187356 | − | 0.00516515i | ||||
\(415\) | −345.350 | −0.832169 | ||||||||
\(416\) | 7.34349i | 0.0176526i | ||||||||
\(417\) | −407.900 | − | 285.948i | −0.978178 | − | 0.685727i | ||||
\(418\) | 0.0615275 | 0.000147195 | ||||||||
\(419\) | 136.316i | 0.325337i | 0.986681 | + | 0.162668i | \(0.0520100\pi\) | ||||
−0.986681 | + | 0.162668i | \(0.947990\pi\) | |||||||
\(420\) | −10.7601 | + | 15.3491i | −0.0256192 | + | 0.0365454i | ||||
\(421\) | −153.259 | −0.364035 | −0.182017 | − | 0.983295i | \(-0.558263\pi\) | ||||
−0.182017 | + | 0.983295i | \(0.558263\pi\) | |||||||
\(422\) | 0.0521678i | 0.000123620i | ||||||||
\(423\) | 638.672 | − | 231.665i | 1.50986 | − | 0.547672i | ||||
\(424\) | −4.36088 | −0.0102851 | ||||||||
\(425\) | − | 21.7669i | − | 0.0512161i | ||||||
\(426\) | −0.705334 | − | 0.494456i | −0.00165571 | − | 0.00116069i | ||||
\(427\) | −28.4846 | −0.0667086 | ||||||||
\(428\) | 71.3988i | 0.166820i | ||||||||
\(429\) | −239.284 | + | 341.335i | −0.557772 | + | 0.795653i | ||||
\(430\) | 0.0451971 | 0.000105110 | ||||||||
\(431\) | − | 324.323i | − | 0.752488i | −0.926521 | − | 0.376244i | \(-0.877215\pi\) | ||
0.926521 | − | 0.376244i | \(-0.122785\pi\) | |||||||
\(432\) | −112.490 | + | 417.076i | −0.260394 | + | 0.965454i | ||||
\(433\) | −443.293 | −1.02377 | −0.511885 | − | 0.859054i | \(-0.671053\pi\) | ||||
−0.511885 | + | 0.859054i | \(0.671053\pi\) | |||||||
\(434\) | − | 0.108259i | − | 0.000249445i | ||||||
\(435\) | −349.464 | − | 244.983i | −0.803366 | − | 0.563179i | ||||
\(436\) | 111.048 | 0.254698 | ||||||||
\(437\) | 34.7637i | 0.0795507i | ||||||||
\(438\) | 0.343958 | − | 0.490650i | 0.000785292 | − | 0.00112021i | ||||
\(439\) | 678.276 | 1.54505 | 0.772524 | − | 0.634986i | \(-0.218994\pi\) | ||||
0.772524 | + | 0.634986i | \(0.218994\pi\) | |||||||
\(440\) | − | 2.16763i | − | 0.00492643i | ||||||
\(441\) | −150.049 | − | 413.667i | −0.340248 | − | 0.938021i | ||||
\(442\) | 1.57258 | 0.00355787 | ||||||||
\(443\) | − | 353.521i | − | 0.798015i | −0.916948 | − | 0.399008i | \(-0.869355\pi\) | ||
0.916948 | − | 0.399008i | \(-0.130645\pi\) | |||||||
\(444\) | 148.443 | + | 104.062i | 0.334330 | + | 0.234374i | ||||
\(445\) | −688.082 | −1.54625 | ||||||||
\(446\) | − | 1.07530i | − | 0.00241099i | ||||||
\(447\) | −225.766 | + | 322.052i | −0.505070 | + | 0.720474i | ||||
\(448\) | 20.8977 | 0.0466467 | ||||||||
\(449\) | 648.304i | 1.44388i | 0.691954 | + | 0.721942i | \(0.256750\pi\) | ||||
−0.691954 | + | 0.721942i | \(0.743250\pi\) | |||||||
\(450\) | 0.141492 | − | 0.0513235i | 0.000314427 | − | 0.000114052i | ||||
\(451\) | 89.8378 | 0.199197 | ||||||||
\(452\) | − | 22.3630i | − | 0.0494756i | ||||||
\(453\) | −353.051 | − | 247.497i | −0.779362 | − | 0.546352i | ||||
\(454\) | 3.20477 | 0.00705895 | ||||||||
\(455\) | − | 30.2623i | − | 0.0665106i | ||||||
\(456\) | −0.118178 | + | 0.168580i | −0.000259163 | + | 0.000369692i | ||||
\(457\) | 419.983 | 0.918999 | 0.459499 | − | 0.888178i | \(-0.348029\pi\) | ||||
0.459499 | + | 0.888178i | \(0.348029\pi\) | |||||||
\(458\) | 2.74310i | 0.00598929i | ||||||||
\(459\) | 267.953 | + | 72.2699i | 0.583775 | + | 0.157451i | ||||
\(460\) | 612.361 | 1.33122 | ||||||||
\(461\) | − | 831.173i | − | 1.80298i | −0.432802 | − | 0.901489i | \(-0.642475\pi\) | ||
0.432802 | − | 0.901489i | \(-0.357525\pi\) | |||||||
\(462\) | −0.0454388 | − | 0.0318537i | −9.83524e−5 | − | 6.89474e-5i | ||||
\(463\) | −323.289 | −0.698248 | −0.349124 | − | 0.937076i | \(-0.613521\pi\) | ||||
−0.349124 | + | 0.937076i | \(0.613521\pi\) | |||||||
\(464\) | 475.809i | 1.02545i | ||||||||
\(465\) | −345.803 | + | 493.282i | −0.743662 | + | 1.06082i | ||||
\(466\) | −3.64337 | −0.00781838 | ||||||||
\(467\) | − | 467.788i | − | 1.00169i | −0.865538 | − | 0.500844i | \(-0.833023\pi\) | ||
0.865538 | − | 0.500844i | \(-0.166977\pi\) | |||||||
\(468\) | −237.810 | − | 655.611i | −0.508141 | − | 1.40088i | ||||
\(469\) | −12.2949 | −0.0262150 | ||||||||
\(470\) | − | 2.85171i | − | 0.00606746i | ||||||
\(471\) | −286.943 | − | 201.154i | −0.609220 | − | 0.427078i | ||||
\(472\) | 0.485278 | 0.00102813 | ||||||||
\(473\) | − | 8.58128i | − | 0.0181422i | ||||||
\(474\) | −1.41353 | + | 2.01638i | −0.00298213 | + | 0.00425396i | ||||
\(475\) | −2.30025 | −0.00484263 | ||||||||
\(476\) | − | 13.4263i | − | 0.0282065i | ||||||
\(477\) | 583.997 | − | 211.833i | 1.22431 | − | 0.444095i | ||||
\(478\) | 3.46194 | 0.00724256 | ||||||||
\(479\) | 24.1346i | 0.0503853i | 0.999683 | + | 0.0251927i | \(0.00801992\pi\) | ||||
−0.999683 | + | 0.0251927i | \(0.991980\pi\) | |||||||
\(480\) | 4.45430 | + | 3.12257i | 0.00927980 | + | 0.00650536i | ||||
\(481\) | −292.670 | −0.608462 | ||||||||
\(482\) | 1.08015i | 0.00224098i | ||||||||
\(483\) | 17.9977 | − | 25.6734i | 0.0372622 | − | 0.0531540i | ||||
\(484\) | 278.217 | 0.574829 | ||||||||
\(485\) | 277.304i | 0.571760i | ||||||||
\(486\) | 0.162018 | + | 1.91219i | 0.000333371 | + | 0.00393455i | ||||
\(487\) | −800.518 | −1.64377 | −0.821887 | − | 0.569650i | \(-0.807079\pi\) | ||||
−0.821887 | + | 0.569650i | \(0.807079\pi\) | |||||||
\(488\) | 5.51080i | 0.0112926i | ||||||||
\(489\) | 590.502 | + | 413.956i | 1.20757 | + | 0.846536i | ||||
\(490\) | −1.84705 | −0.00376949 | ||||||||
\(491\) | 119.978i | 0.244355i | 0.992508 | + | 0.122177i | \(0.0389877\pi\) | ||||
−0.992508 | + | 0.122177i | \(0.961012\pi\) | |||||||
\(492\) | −86.2770 | + | 123.073i | −0.175360 | + | 0.250148i | ||||
\(493\) | 305.686 | 0.620053 | ||||||||
\(494\) | − | 0.166185i | − | 0.000336407i | ||||||
\(495\) | 105.294 | + | 290.283i | 0.212716 | + | 0.586430i | ||||
\(496\) | 671.623 | 1.35408 | ||||||||
\(497\) | − | 11.8729i | − | 0.0238892i | ||||||
\(498\) | 1.40058 | + | 0.981838i | 0.00281240 | + | 0.00197156i | ||||
\(499\) | 231.859 | 0.464647 | 0.232323 | − | 0.972639i | \(-0.425367\pi\) | ||||
0.232323 | + | 0.972639i | \(0.425367\pi\) | |||||||
\(500\) | 518.866i | 1.03773i | ||||||||
\(501\) | −263.964 | + | 376.540i | −0.526874 | + | 0.751577i | ||||
\(502\) | −0.843928 | −0.00168113 | ||||||||
\(503\) | − | 688.560i | − | 1.36891i | −0.729056 | − | 0.684454i | \(-0.760041\pi\) | ||
0.729056 | − | 0.684454i | \(-0.239959\pi\) | |||||||
\(504\) | 0.174552 | − | 0.0633154i | 0.000346334 | − | 0.000125626i | ||||
\(505\) | 665.407 | 1.31764 | ||||||||
\(506\) | 1.81281i | 0.00358263i | ||||||||
\(507\) | 506.791 | + | 355.272i | 0.999587 | + | 0.700735i | ||||
\(508\) | −86.9317 | −0.171125 | ||||||||
\(509\) | − | 142.587i | − | 0.280131i | −0.990142 | − | 0.140065i | \(-0.955269\pi\) | ||
0.990142 | − | 0.140065i | \(-0.0447313\pi\) | |||||||
\(510\) | 0.668687 | − | 0.953872i | 0.00131115 | − | 0.00187034i | ||||
\(511\) | 8.25914 | 0.0161627 | ||||||||
\(512\) | − | 10.1079i | − | 0.0197420i | ||||||
\(513\) | 7.63724 | − | 28.3163i | 0.0148874 | − | 0.0551975i | ||||
\(514\) | 0.898047 | 0.00174717 | ||||||||
\(515\) | 115.125i | 0.223543i | ||||||||
\(516\) | 11.7559 | + | 8.24115i | 0.0227827 | + | 0.0159712i | ||||
\(517\) | −541.435 | −1.04726 | ||||||||
\(518\) | − | 0.0389605i | − | 7.52133e-5i | ||||||
\(519\) | 341.711 | − | 487.446i | 0.658403 | − | 0.939202i | ||||
\(520\) | −5.85473 | −0.0112591 | ||||||||
\(521\) | 617.668i | 1.18554i | 0.805370 | + | 0.592772i | \(0.201966\pi\) | ||||
−0.805370 | + | 0.592772i | \(0.798034\pi\) | |||||||
\(522\) | 0.720769 | + | 1.98707i | 0.00138078 | + | 0.00380664i | ||||
\(523\) | 118.969 | 0.227473 | 0.113737 | − | 0.993511i | \(-0.463718\pi\) | ||||
0.113737 | + | 0.993511i | \(0.463718\pi\) | |||||||
\(524\) | 939.945i | 1.79379i | ||||||||
\(525\) | 1.69876 | + | 1.19087i | 0.00323574 | + | 0.00226833i | ||||
\(526\) | −0.597200 | −0.00113536 | ||||||||
\(527\) | − | 431.488i | − | 0.818762i | ||||||
\(528\) | 197.616 | − | 281.896i | 0.374272 | − | 0.533893i | ||||
\(529\) | −495.256 | −0.936211 | ||||||||
\(530\) | − | 2.60758i | − | 0.00491997i | ||||||
\(531\) | −64.9871 | + | 23.5728i | −0.122386 | + | 0.0443932i | ||||
\(532\) | −1.41884 | −0.00266700 | ||||||||
\(533\) | − | 242.651i | − | 0.455255i | ||||||
\(534\) | 2.79053 | + | 1.95623i | 0.00522571 | + | 0.00366335i | ||||
\(535\) | −85.3863 | −0.159601 | ||||||||
\(536\) | 2.37864i | 0.00443775i | ||||||||
\(537\) | 145.281 | − | 207.242i | 0.270543 | − | 0.385925i | ||||
\(538\) | 1.22077 | 0.00226908 | ||||||||
\(539\) | 350.687i | 0.650625i | ||||||||
\(540\) | −498.792 | − | 134.530i | −0.923688 | − | 0.249129i | ||||
\(541\) | 773.951 | 1.43059 | 0.715296 | − | 0.698821i | \(-0.246292\pi\) | ||||
0.715296 | + | 0.698821i | \(0.246292\pi\) | |||||||
\(542\) | − | 2.80439i | − | 0.00517416i | ||||||
\(543\) | −738.928 | − | 518.007i | −1.36083 | − | 0.953972i | ||||
\(544\) | −3.89630 | −0.00716232 | ||||||||
\(545\) | 132.803i | 0.243676i | ||||||||
\(546\) | −0.0860364 | + | 0.122730i | −0.000157576 | + | 0.000224779i | ||||
\(547\) | −119.657 | −0.218751 | −0.109375 | − | 0.994001i | \(-0.534885\pi\) | ||||
−0.109375 | + | 0.994001i | \(0.534885\pi\) | |||||||
\(548\) | − | 84.4286i | − | 0.154067i | ||||||
\(549\) | −267.691 | − | 737.991i | −0.487598 | − | 1.34425i | ||||
\(550\) | −0.119950 | −0.000218091 | ||||||||
\(551\) | − | 32.3039i | − | 0.0586278i | ||||||
\(552\) | −4.96693 | − | 3.48194i | −0.00899806 | − | 0.00630786i | ||||
\(553\) | −33.9418 | −0.0613775 | ||||||||
\(554\) | − | 1.78675i | − | 0.00322518i | ||||||
\(555\) | −124.448 | + | 177.524i | −0.224231 | + | 0.319862i | ||||
\(556\) | −664.184 | −1.19457 | ||||||||
\(557\) | − | 885.523i | − | 1.58981i | −0.606735 | − | 0.794904i | \(-0.707521\pi\) | ||
0.606735 | − | 0.794904i | \(-0.292479\pi\) | |||||||
\(558\) | 2.80482 | − | 1.01739i | 0.00502656 | − | 0.00182328i | ||||
\(559\) | −23.1779 | −0.0414632 | ||||||||
\(560\) | 24.9925i | 0.0446295i | ||||||||
\(561\) | −181.105 | − | 126.959i | −0.322826 | − | 0.226309i | ||||
\(562\) | −4.07736 | −0.00725509 | ||||||||
\(563\) | 849.508i | 1.50889i | 0.656361 | + | 0.754447i | \(0.272095\pi\) | ||||
−0.656361 | + | 0.754447i | \(0.727905\pi\) | |||||||
\(564\) | 519.974 | − | 741.735i | 0.921940 | − | 1.31513i | ||||
\(565\) | 26.7440 | 0.0473346 | ||||||||
\(566\) | 1.00932i | 0.00178325i | ||||||||
\(567\) | −20.3000 | + | 16.9580i | −0.0358024 | + | 0.0299084i | ||||
\(568\) | −2.29701 | −0.00404402 | ||||||||
\(569\) | 659.670i | 1.15935i | 0.814848 | + | 0.579675i | \(0.196820\pi\) | ||||
−0.814848 | + | 0.579675i | \(0.803180\pi\) | |||||||
\(570\) | −0.100802 | − | 0.0706646i | −0.000176846 | − | 0.000123973i | ||||
\(571\) | 528.453 | 0.925487 | 0.462744 | − | 0.886492i | \(-0.346865\pi\) | ||||
0.462744 | + | 0.886492i | \(0.346865\pi\) | |||||||
\(572\) | 555.796i | 0.971671i | ||||||||
\(573\) | −108.392 | + | 154.619i | −0.189166 | + | 0.269842i | ||||
\(574\) | 0.0323019 | 5.62750e−5 | ||||||||
\(575\) | − | 67.7731i | − | 0.117866i | ||||||
\(576\) | 196.392 | + | 541.428i | 0.340958 | + | 0.939979i | ||||
\(577\) | 133.967 | 0.232178 | 0.116089 | − | 0.993239i | \(-0.462964\pi\) | ||||
0.116089 | + | 0.993239i | \(0.462964\pi\) | |||||||
\(578\) | − | 1.44794i | − | 0.00250508i | ||||||
\(579\) | −129.603 | − | 90.8548i | −0.223839 | − | 0.156917i | ||||
\(580\) | −569.032 | −0.981090 | ||||||||
\(581\) | 23.5760i | 0.0405782i | ||||||||
\(582\) | 0.788380 | − | 1.12461i | 0.00135460 | − | 0.00193232i | ||||
\(583\) | −495.084 | −0.849202 | ||||||||
\(584\) | − | 1.59786i | − | 0.00273607i | ||||||
\(585\) | 784.050 | − | 284.398i | 1.34026 | − | 0.486151i | ||||
\(586\) | 3.70823 | 0.00632804 | ||||||||
\(587\) | 771.291i | 1.31395i | 0.753911 | + | 0.656977i | \(0.228165\pi\) | ||||
−0.753911 | + | 0.656977i | \(0.771835\pi\) | |||||||
\(588\) | −480.421 | − | 336.787i | −0.817043 | − | 0.572767i | ||||
\(589\) | −45.5982 | −0.0774162 | ||||||||
\(590\) | 0.290171i | 0.000491816i | ||||||||
\(591\) | 74.6842 | − | 106.536i | 0.126369 | − | 0.180264i | ||||
\(592\) | 241.705 | 0.408286 | ||||||||
\(593\) | − | 590.309i | − | 0.995461i | −0.867332 | − | 0.497731i | \(-0.834167\pi\) | ||
0.867332 | − | 0.497731i | \(-0.165833\pi\) | |||||||
\(594\) | 0.398257 | − | 1.47660i | 0.000670466 | − | 0.00248586i | ||||
\(595\) | 16.0566 | 0.0269858 | ||||||||
\(596\) | 524.397i | 0.879860i | ||||||||
\(597\) | 778.541 | + | 545.776i | 1.30409 | + | 0.914197i | ||||
\(598\) | 4.89637 | 0.00818791 | ||||||||
\(599\) | 859.176i | 1.43435i | 0.696893 | + | 0.717175i | \(0.254565\pi\) | ||||
−0.696893 | + | 0.717175i | \(0.745435\pi\) | |||||||
\(600\) | 0.230394 | − | 0.328653i | 0.000383989 | − | 0.000547754i | ||||
\(601\) | −704.324 | −1.17192 | −0.585960 | − | 0.810340i | \(-0.699283\pi\) | ||||
−0.585960 | + | 0.810340i | \(0.699283\pi\) | |||||||
\(602\) | − | 0.00308546i | − | 5.12536e-6i | ||||||
\(603\) | −115.544 | − | 318.540i | −0.191615 | − | 0.528259i | ||||
\(604\) | −574.872 | −0.951776 | ||||||||
\(605\) | 332.722i | 0.549954i | ||||||||
\(606\) | −2.69857 | − | 1.89176i | −0.00445309 | − | 0.00312172i | ||||
\(607\) | 904.339 | 1.48985 | 0.744925 | − | 0.667148i | \(-0.232485\pi\) | ||||
0.744925 | + | 0.667148i | \(0.232485\pi\) | |||||||
\(608\) | 0.411748i | 0.000677218i | ||||||||
\(609\) | −16.7242 | + | 23.8568i | −0.0274617 | + | 0.0391737i | ||||
\(610\) | −3.29517 | −0.00540192 | ||||||||
\(611\) | 1462.41i | 2.39347i | ||||||||
\(612\) | 347.854 | − | 126.177i | 0.568389 | − | 0.206172i | ||||
\(613\) | 612.747 | 0.999588 | 0.499794 | − | 0.866144i | \(-0.333409\pi\) | ||||
0.499794 | + | 0.866144i | \(0.333409\pi\) | |||||||
\(614\) | 1.57821i | 0.00257038i | ||||||||
\(615\) | −147.183 | − | 103.179i | −0.239323 | − | 0.167771i | ||||
\(616\) | −0.147977 | −0.000240222 | ||||||||
\(617\) | − | 101.948i | − | 0.165232i | −0.996581 | − | 0.0826159i | \(-0.973673\pi\) | ||
0.996581 | − | 0.0826159i | \(-0.0263275\pi\) | |||||||
\(618\) | 0.327302 | − | 0.466891i | 0.000529615 | − | 0.000755487i | ||||
\(619\) | 511.560 | 0.826430 | 0.413215 | − | 0.910633i | \(-0.364406\pi\) | ||||
0.413215 | + | 0.910633i | \(0.364406\pi\) | |||||||
\(620\) | 803.211i | 1.29550i | ||||||||
\(621\) | 834.295 | + | 225.019i | 1.34347 | + | 0.362350i | ||||
\(622\) | 2.21920 | 0.00356785 | ||||||||
\(623\) | 46.9731i | 0.0753983i | ||||||||
\(624\) | −761.396 | − | 533.757i | −1.22019 | − | 0.855380i | ||||
\(625\) | −567.574 | −0.908119 | ||||||||
\(626\) | − | 0.281082i | − | 0.000449013i | ||||||
\(627\) | −13.4166 | + | 19.1386i | −0.0213981 | + | 0.0305241i | ||||
\(628\) | −467.229 | −0.743995 | ||||||||
\(629\) | − | 155.285i | − | 0.246876i | ||||||
\(630\) | 0.0378593 | + | 0.104373i | 6.00942e−5 | + | 0.000165672i | ||||
\(631\) | −705.626 | −1.11827 | −0.559133 | − | 0.829078i | \(-0.688866\pi\) | ||||
−0.559133 | + | 0.829078i | \(0.688866\pi\) | |||||||
\(632\) | 6.56658i | 0.0103902i | ||||||||
\(633\) | −16.2272 | − | 11.3757i | −0.0256354 | − | 0.0179710i | ||||
\(634\) | 0.251007 | 0.000395910 | ||||||||
\(635\) | − | 103.962i | − | 0.163720i | ||||||
\(636\) | 475.461 | − | 678.238i | 0.747580 | − | 1.06641i | ||||
\(637\) | 947.201 | 1.48697 | ||||||||
\(638\) | − | 1.68454i | − | 0.00264034i | ||||||
\(639\) | 307.609 | − | 111.579i | 0.481391 | − | 0.174615i | ||||
\(640\) | 9.67056 | 0.0151102 | ||||||||
\(641\) | − | 589.256i | − | 0.919277i | −0.888106 | − | 0.459638i | \(-0.847979\pi\) | ||
0.888106 | − | 0.459638i | \(-0.152021\pi\) | |||||||
\(642\) | 0.346286 | + | 0.242755i | 0.000539386 | + | 0.000378123i | ||||
\(643\) | −518.072 | −0.805711 | −0.402856 | − | 0.915264i | \(-0.631982\pi\) | ||||
−0.402856 | + | 0.915264i | \(0.631982\pi\) | |||||||
\(644\) | − | 41.8039i | − | 0.0649130i | ||||||
\(645\) | −9.85564 | + | 14.0589i | −0.0152801 | + | 0.0217968i | ||||
\(646\) | 0.0881743 | 0.000136493 | ||||||||
\(647\) | − | 696.737i | − | 1.07687i | −0.842666 | − | 0.538437i | \(-0.819015\pi\) | ||
0.842666 | − | 0.538437i | \(-0.180985\pi\) | |||||||
\(648\) | 3.28081 | + | 3.92736i | 0.00506297 | + | 0.00606074i | ||||
\(649\) | 55.0929 | 0.0848889 | ||||||||
\(650\) | 0.323984i | 0.000498437i | ||||||||
\(651\) | 33.6748 | + | 23.6068i | 0.0517278 | + | 0.0362624i | ||||
\(652\) | 961.514 | 1.47471 | ||||||||
\(653\) | 628.404i | 0.962334i | 0.876629 | + | 0.481167i | \(0.159787\pi\) | ||||
−0.876629 | + | 0.481167i | \(0.840213\pi\) | |||||||
\(654\) | 0.377563 | − | 0.538587i | 0.000577313 | − | 0.000823528i | ||||
\(655\) | −1124.09 | −1.71616 | ||||||||
\(656\) | 200.396i | 0.305482i | ||||||||
\(657\) | 77.6175 | + | 213.982i | 0.118139 | + | 0.325695i | ||||
\(658\) | −0.194677 | −0.000295861 | ||||||||
\(659\) | − | 89.8096i | − | 0.136282i | −0.997676 | − | 0.0681409i | \(-0.978293\pi\) | ||
0.997676 | − | 0.0681409i | \(-0.0217067\pi\) | |||||||
\(660\) | 337.126 | + | 236.334i | 0.510797 | + | 0.358081i | ||||
\(661\) | 1209.31 | 1.82952 | 0.914761 | − | 0.403996i | \(-0.132379\pi\) | ||||
0.914761 | + | 0.403996i | \(0.132379\pi\) | |||||||
\(662\) | − | 3.02736i | − | 0.00457305i | ||||||
\(663\) | −342.915 | + | 489.163i | −0.517217 | + | 0.737802i | ||||
\(664\) | 4.56115 | 0.00686920 | ||||||||
\(665\) | − | 1.69680i | − | 0.00255159i | ||||||
\(666\) | 1.00941 | − | 0.366142i | 0.00151562 | − | 0.000549762i | ||||
\(667\) | 951.782 | 1.42696 | ||||||||
\(668\) | 613.120i | 0.917844i | ||||||||
\(669\) | 334.481 | + | 234.479i | 0.499972 | + | 0.350492i | ||||
\(670\) | −1.42230 | −0.00212284 | ||||||||
\(671\) | 625.633i | 0.932388i | ||||||||
\(672\) | 0.213168 | − | 0.304081i | 0.000317215 | − | 0.000452501i | ||||
\(673\) | 1060.34 | 1.57554 | 0.787771 | − | 0.615968i | \(-0.211235\pi\) | ||||
0.787771 | + | 0.615968i | \(0.211235\pi\) | |||||||
\(674\) | − | 2.32257i | − | 0.00344595i | ||||||
\(675\) | −14.8891 | + | 55.2038i | −0.0220579 | + | 0.0817834i | ||||
\(676\) | 825.206 | 1.22072 | ||||||||
\(677\) | 136.594i | 0.201764i | 0.994898 | + | 0.100882i | \(0.0321665\pi\) | ||||
−0.994898 | + | 0.100882i | \(0.967834\pi\) | |||||||
\(678\) | −0.108461 | − | 0.0760338i | −0.000159972 | − | 0.000112144i | ||||
\(679\) | 18.9306 | 0.0278802 | ||||||||
\(680\) | − | 3.10640i | − | 0.00456824i | ||||||
\(681\) | −698.828 | + | 996.867i | −1.02618 | + | 1.46383i | ||||
\(682\) | −2.37779 | −0.00348650 | ||||||||
\(683\) | − | 167.507i | − | 0.245251i | −0.992453 | − | 0.122626i | \(-0.960869\pi\) | ||
0.992453 | − | 0.122626i | \(-0.0391315\pi\) | |||||||
\(684\) | −13.3340 | − | 36.7600i | −0.0194941 | − | 0.0537427i | ||||
\(685\) | 100.969 | 0.147400 | ||||||||
\(686\) | 0.252459i | 0.000368016i | ||||||||
\(687\) | −853.261 | − | 598.157i | −1.24201 | − | 0.870679i | ||||
\(688\) | 19.1418 | 0.0278223 | ||||||||
\(689\) | 1337.22i | 1.94081i | ||||||||
\(690\) | 2.08202 | − | 2.96997i | 0.00301742 | − | 0.00430430i | ||||
\(691\) | 512.344 | 0.741454 | 0.370727 | − | 0.928742i | \(-0.379109\pi\) | ||||
0.370727 | + | 0.928742i | \(0.379109\pi\) | |||||||
\(692\) | − | 793.707i | − | 1.14698i | ||||||
\(693\) | 19.8167 | − | 7.18810i | 0.0285955 | − | 0.0103724i | ||||
\(694\) | 2.05986 | 0.00296809 | ||||||||
\(695\) | − | 794.301i | − | 1.14288i | ||||||
\(696\) | 4.61548 | + | 3.23557i | 0.00663144 | + | 0.00464880i | ||||
\(697\) | 128.745 | 0.184714 | ||||||||
\(698\) | − | 0.519841i | − | 0.000744757i | ||||||
\(699\) | 794.469 | − | 1133.30i | 1.13658 | − | 1.62131i | ||||
\(700\) | 2.76609 | 0.00395156 | ||||||||
\(701\) | − | 810.841i | − | 1.15669i | −0.815792 | − | 0.578346i | \(-0.803698\pi\) | ||
0.815792 | − | 0.578346i | \(-0.196302\pi\) | |||||||
\(702\) | −3.98828 | − | 1.07569i | −0.00568131 | − | 0.00153232i | ||||
\(703\) | −16.4100 | −0.0233428 | ||||||||
\(704\) | − | 458.996i | − | 0.651983i | ||||||
\(705\) | 887.045 | + | 621.840i | 1.25822 | + | 0.882043i | ||||
\(706\) | 1.61217 | 0.00228352 | ||||||||
\(707\) | − | 45.4252i | − | 0.0642506i | ||||||
\(708\) | −52.9092 | + | 75.4742i | −0.0747305 | + | 0.106602i | ||||
\(709\) | 466.935 | 0.658583 | 0.329291 | − | 0.944228i | \(-0.393190\pi\) | ||||
0.329291 | + | 0.944228i | \(0.393190\pi\) | |||||||
\(710\) | − | 1.37349i | − | 0.00193449i | ||||||
\(711\) | −318.977 | − | 879.379i | −0.448631 | − | 1.23682i | ||||
\(712\) | 9.08771 | 0.0127636 | ||||||||
\(713\) | − | 1343.48i | − | 1.88426i | ||||||
\(714\) | −0.0651178 | − | 0.0456491i | −9.12014e−5 | − | 6.39344e-5i | ||||
\(715\) | −664.679 | −0.929621 | ||||||||
\(716\) | − | 337.451i | − | 0.471300i | ||||||
\(717\) | −754.908 | + | 1076.86i | −1.05287 | + | 1.50190i | ||||
\(718\) | 2.74481 | 0.00382285 | ||||||||
\(719\) | 532.897i | 0.741165i | 0.928800 | + | 0.370582i | \(0.120842\pi\) | ||||
−0.928800 | + | 0.370582i | \(0.879158\pi\) | |||||||
\(720\) | −647.517 | + | 234.874i | −0.899329 | + | 0.326214i | ||||
\(721\) | 7.85920 | 0.0109004 | ||||||||
\(722\) | 2.84160i | 0.00393574i | ||||||||
\(723\) | −335.989 | − | 235.536i | −0.464715 | − | 0.325777i | ||||
\(724\) | −1203.20 | −1.66187 | ||||||||
\(725\) | 62.9777i | 0.0868658i | ||||||||
\(726\) | 0.945935 | − | 1.34936i | 0.00130294 | − | 0.00185862i | ||||
\(727\) | −1402.75 | −1.92950 | −0.964751 | − | 0.263164i | \(-0.915234\pi\) | ||||
−0.964751 | + | 0.263164i | \(0.915234\pi\) | |||||||
\(728\) | 0.399684i | 0.000549016i | ||||||||
\(729\) | −630.131 | − | 366.573i | −0.864377 | − | 0.502844i | ||||
\(730\) | 0.955440 | 0.00130882 | ||||||||
\(731\) | − | 12.2977i | − | 0.0168232i | ||||||
\(732\) | −857.081 | − | 600.835i | −1.17088 | − | 0.820812i | ||||
\(733\) | −323.758 | −0.441688 | −0.220844 | − | 0.975309i | \(-0.570881\pi\) | ||||
−0.220844 | + | 0.975309i | \(0.570881\pi\) | |||||||
\(734\) | 1.16703i | 0.00158996i | ||||||||
\(735\) | 402.766 | − | 574.539i | 0.547980 | − | 0.781685i | ||||
\(736\) | −12.1315 | −0.0164830 | ||||||||
\(737\) | 270.043i | 0.366409i | ||||||||
\(738\) | 0.303565 | + | 0.836891i | 0.000411335 | + | 0.00113400i | ||||
\(739\) | −815.403 | −1.10339 | −0.551694 | − | 0.834047i | \(-0.686018\pi\) | ||||
−0.551694 | + | 0.834047i | \(0.686018\pi\) | |||||||
\(740\) | 289.061i | 0.390623i | ||||||||
\(741\) | 51.6931 | + | 36.2381i | 0.0697613 | + | 0.0489044i | ||||
\(742\) | −0.178011 | −0.000239907 | ||||||||
\(743\) | − | 681.903i | − | 0.917769i | −0.888496 | − | 0.458885i | \(-0.848249\pi\) | ||
0.888496 | − | 0.458885i | \(-0.151751\pi\) | |||||||
\(744\) | 4.56712 | − | 6.51493i | 0.00613861 | − | 0.00875662i | ||||
\(745\) | −627.129 | −0.841784 | ||||||||
\(746\) | 3.03671i | 0.00407065i | ||||||||
\(747\) | −610.816 | + | 221.561i | −0.817692 | + | 0.296602i | ||||
\(748\) | −294.894 | −0.394243 | ||||||||
\(749\) | 5.82905i | 0.00778244i | ||||||||
\(750\) | 2.51651 | + | 1.76414i | 0.00335535 | + | 0.00235218i | ||||
\(751\) | −761.193 | −1.01357 | −0.506786 | − | 0.862072i | \(-0.669167\pi\) | ||||
−0.506786 | + | 0.862072i | \(0.669167\pi\) | |||||||
\(752\) | − | 1207.75i | − | 1.60605i | ||||||
\(753\) | 184.026 | − | 262.510i | 0.244391 | − | 0.348619i | ||||
\(754\) | −4.54992 | −0.00603437 | ||||||||
\(755\) | − | 687.494i | − | 0.910588i | ||||||
\(756\) | −9.18392 | + | 34.0509i | −0.0121480 | + | 0.0450409i | ||||
\(757\) | −1302.94 | −1.72119 | −0.860594 | − | 0.509291i | \(-0.829908\pi\) | ||||
−0.860594 | + | 0.509291i | \(0.829908\pi\) | |||||||
\(758\) | − | 2.69758i | − | 0.00355882i | ||||||
\(759\) | −563.888 | − | 395.299i | −0.742936 | − | 0.520816i | ||||
\(760\) | −0.328274 | −0.000431940 | ||||||||
\(761\) | − | 42.0468i | − | 0.0552521i | −0.999618 | − | 0.0276260i | \(-0.991205\pi\) | ||
0.999618 | − | 0.0276260i | \(-0.00879476\pi\) | |||||||
\(762\) | −0.295567 | + | 0.421621i | −0.000387883 | + | 0.000553309i | ||||
\(763\) | 9.06606 | 0.0118821 | ||||||||
\(764\) | 251.767i | 0.329538i | ||||||||
\(765\) | 150.896 | + | 416.001i | 0.197250 | + | 0.543792i | ||||
\(766\) | −4.24503 | −0.00554181 | ||||||||
\(767\) | − | 148.805i | − | 0.194009i | ||||||
\(768\) | 628.769 | + | 440.783i | 0.818710 | + | 0.573936i | ||||
\(769\) | 1230.19 | 1.59973 | 0.799863 | − | 0.600183i | \(-0.204905\pi\) | ||||
0.799863 | + | 0.600183i | \(0.204905\pi\) | |||||||
\(770\) | − | 0.0884826i | − | 0.000114913i | ||||||
\(771\) | −195.827 | + | 279.344i | −0.253991 | + | 0.362314i | ||||
\(772\) | −211.032 | −0.273358 | ||||||||
\(773\) | 1097.05i | 1.41921i | 0.704599 | + | 0.709606i | \(0.251127\pi\) | ||||
−0.704599 | + | 0.709606i | \(0.748873\pi\) | |||||||
\(774\) | 0.0799396 | − | 0.0289965i | 0.000103281 | − | 3.74631e-5i | ||||
\(775\) | 88.8954 | 0.114704 | ||||||||
\(776\) | − | 3.66244i | − | 0.00471963i | ||||||
\(777\) | 12.1190 | + | 8.49569i | 0.0155971 | + | 0.0109340i | ||||
\(778\) | −4.35395 | −0.00559634 | ||||||||
\(779\) | − | 13.6054i | − | 0.0174652i | ||||||
\(780\) | 638.334 | − | 910.573i | 0.818377 | − | 1.16740i | ||||
\(781\) | −260.776 | −0.333900 | ||||||||
\(782\) | 2.59791i | 0.00332214i | ||||||||
\(783\) | −775.263 | − | 209.097i | −0.990119 | − | 0.267046i | ||||
\(784\) | −782.257 | −0.997777 | ||||||||
\(785\) | − | 558.762i | − | 0.711798i | ||||||
\(786\) | 4.55876 | + | 3.19580i | 0.00579995 | + | 0.00406590i | ||||
\(787\) | 1188.35 | 1.50997 | 0.754985 | − | 0.655743i | \(-0.227644\pi\) | ||||
0.754985 | + | 0.655743i | \(0.227644\pi\) | |||||||
\(788\) | − | 173.472i | − | 0.220142i | ||||||
\(789\) | 130.225 | − | 185.764i | 0.165050 | − | 0.235442i | ||||
\(790\) | −3.92648 | −0.00497023 | ||||||||
\(791\) | − | 1.82573i | − | 0.00230813i | ||||||
\(792\) | −1.39065 | − | 3.83386i | −0.00175588 | − | 0.00484073i | ||||
\(793\) | 1689.82 | 2.13093 | ||||||||
\(794\) | 4.22594i | 0.00532234i | ||||||||
\(795\) | 811.109 | + | 568.607i | 1.02026 | + | 0.715229i | ||||
\(796\) | 1267.70 | 1.59258 | ||||||||
\(797\) | − | 1207.50i | − | 1.51506i | −0.652801 | − | 0.757530i | \(-0.726406\pi\) | ||
0.652801 | − | 0.757530i | \(-0.273594\pi\) | |||||||
\(798\) | −0.00482405 | + | 0.00688143i | −6.04517e−6 | + | 8.62334e-6i | ||||
\(799\) | −775.923 | −0.971118 | ||||||||
\(800\) | − | 0.802719i | − | 0.00100340i | ||||||
\(801\) | −1217.00 | + | 441.443i | −1.51935 | + | 0.551114i | ||||
\(802\) | −2.13865 | −0.00266664 | ||||||||
\(803\) | − | 181.403i | − | 0.225907i | ||||||
\(804\) | −369.944 | − | 259.340i | −0.460129 | − | 0.322562i | ||||
\(805\) | 49.9936 | 0.0621038 | ||||||||
\(806\) | 6.42238i | 0.00796821i | ||||||||
\(807\) | −266.199 | + | 379.729i | −0.329863 | + | 0.470544i | ||||
\(808\) | −8.78823 | −0.0108765 | ||||||||
\(809\) | − | 885.574i | − | 1.09465i | −0.836919 | − | 0.547327i | \(-0.815646\pi\) | ||
0.836919 | − | 0.547327i | \(-0.184354\pi\) | |||||||
\(810\) | −2.34836 | + | 1.96175i | −0.00289921 | + | 0.00242192i | ||||
\(811\) | −238.624 | −0.294234 | −0.147117 | − | 0.989119i | \(-0.546999\pi\) | ||||
−0.147117 | + | 0.989119i | \(0.546999\pi\) | |||||||
\(812\) | 38.8460i | 0.0478399i | ||||||||
\(813\) | 872.328 | + | 611.523i | 1.07297 | + | 0.752181i | ||||
\(814\) | −0.855725 | −0.00105126 | ||||||||
\(815\) | 1149.88i | 1.41090i | ||||||||
\(816\) | 283.201 | − | 403.981i | 0.347060 | − | 0.495075i | ||||
\(817\) | −1.29958 | −0.00159068 | ||||||||
\(818\) | − | 5.64292i | − | 0.00689844i | ||||||
\(819\) | −19.4150 | − | 53.5246i | −0.0237057 | − | 0.0653536i | ||||
\(820\) | −239.659 | −0.292267 | ||||||||
\(821\) | − | 590.037i | − | 0.718680i | −0.933207 | − | 0.359340i | \(-0.883002\pi\) | ||
0.933207 | − | 0.359340i | \(-0.116998\pi\) | |||||||
\(822\) | −0.409481 | − | 0.287056i | −0.000498152 | − | 0.000349217i | ||||
\(823\) | −1182.49 | −1.43680 | −0.718402 | − | 0.695628i | \(-0.755126\pi\) | ||||
−0.718402 | + | 0.695628i | \(0.755126\pi\) | |||||||
\(824\) | − | 1.52049i | − | 0.00184525i | ||||||
\(825\) | 26.1562 | − | 37.3115i | 0.0317045 | − | 0.0452260i | ||||
\(826\) | 0.0198091 | 2.39819e−5 | ||||||||
\(827\) | − | 263.890i | − | 0.319094i | −0.987190 | − | 0.159547i | \(-0.948997\pi\) | ||
0.987190 | − | 0.159547i | \(-0.0510033\pi\) | |||||||
\(828\) | 1083.08 | − | 392.864i | 1.30806 | − | 0.474473i | ||||
\(829\) | 328.635 | 0.396423 | 0.198212 | − | 0.980159i | \(-0.436487\pi\) | ||||
0.198212 | + | 0.980159i | \(0.436487\pi\) | |||||||
\(830\) | 2.72733i | 0.00328594i | ||||||||
\(831\) | 555.783 | + | 389.617i | 0.668812 | + | 0.468854i | ||||
\(832\) | −1239.74 | −1.49007 | ||||||||
\(833\) | 502.565i | 0.603319i | ||||||||
\(834\) | −2.25821 | + | 3.22131i | −0.00270769 | + | 0.00386248i | ||||
\(835\) | −733.234 | −0.878125 | ||||||||
\(836\) | 31.1634i | 0.0372768i | ||||||||
\(837\) | −295.149 | + | 1094.31i | −0.352627 | + | 1.30742i | ||||
\(838\) | 1.07653 | 0.00128464 | ||||||||
\(839\) | − | 1150.18i | − | 1.37089i | −0.728125 | − | 0.685445i | \(-0.759608\pi\) | ||
0.728125 | − | 0.685445i | \(-0.240392\pi\) | |||||||
\(840\) | 0.242434 | + | 0.169952i | 0.000288612 | + | 0.000202324i | ||||
\(841\) | −43.4368 | −0.0516490 | ||||||||
\(842\) | 1.21033i | 0.00143744i | ||||||||
\(843\) | 889.106 | − | 1268.30i | 1.05469 | − | 1.50450i | ||||
\(844\) | −26.4227 | −0.0313065 | ||||||||
\(845\) | 986.870i | 1.16789i | ||||||||
\(846\) | −1.82953 | − | 5.04377i | −0.00216256 | − | 0.00596191i | ||||
\(847\) | 22.7139 | 0.0268168 | ||||||||
\(848\) | − | 1104.36i | − | 1.30231i | ||||||
\(849\) | −313.956 | − | 220.091i | −0.369795 | − | 0.259235i | ||||
\(850\) | −0.171899 | −0.000202234 | ||||||||
\(851\) | − | 483.494i | − | 0.568147i | ||||||
\(852\) | 250.439 | − | 357.248i | 0.293943 | − | 0.419305i | ||||
\(853\) | 1113.90 | 1.30586 | 0.652932 | − | 0.757417i | \(-0.273539\pi\) | ||||
0.652932 | + | 0.757417i | \(0.273539\pi\) | |||||||
\(854\) | 0.224951i | 0.000263408i | ||||||||
\(855\) | 43.9616 | − | 15.9462i | 0.0514170 | − | 0.0186505i | ||||
\(856\) | 1.12772 | 0.00131743 | ||||||||
\(857\) | 255.879i | 0.298576i | 0.988794 | + | 0.149288i | \(0.0476981\pi\) | ||||
−0.988794 | + | 0.149288i | \(0.952302\pi\) | |||||||
\(858\) | 2.69562 | + | 1.88970i | 0.00314175 | + | 0.00220244i | ||||
\(859\) | 610.574 | 0.710796 | 0.355398 | − | 0.934715i | \(-0.384345\pi\) | ||||
0.355398 | + | 0.934715i | \(0.384345\pi\) | |||||||
\(860\) | 22.8921i | 0.0266187i | ||||||||
\(861\) | −7.04371 | + | 10.0477i | −0.00818085 | + | 0.0116698i | ||||
\(862\) | −2.56127 | −0.00297131 | ||||||||
\(863\) | 1596.65i | 1.85012i | 0.379826 | + | 0.925058i | \(0.375984\pi\) | ||||
−0.379826 | + | 0.925058i | \(0.624016\pi\) | |||||||
\(864\) | 9.88157 | + | 2.66517i | 0.0114370 | + | 0.00308469i | ||||
\(865\) | 949.199 | 1.09734 | ||||||||
\(866\) | 3.50081i | 0.00404251i | ||||||||
\(867\) | 450.392 | + | 315.736i | 0.519484 | + | 0.364171i | ||||
\(868\) | 54.8326 | 0.0631712 | ||||||||
\(869\) | 745.495i | 0.857876i | ||||||||
\(870\) | −1.93470 | + | 2.75982i | −0.00222380 | + | 0.00317221i | ||||
\(871\) | 729.383 | 0.837408 | ||||||||
\(872\) | − | 1.75397i | − | 0.00201144i | ||||||
\(873\) | 177.906 | + | 490.463i | 0.203787 | + | 0.561814i | ||||
\(874\) | 0.274539 | 0.000314118 | ||||||||
\(875\) | 42.3606i | 0.0484121i | ||||||||
\(876\) | 248.512 | + | 174.213i | 0.283689 | + | 0.198873i | ||||
\(877\) | −1699.05 | −1.93735 | −0.968673 | − | 0.248340i | \(-0.920115\pi\) | ||||
−0.968673 | + | 0.248340i | \(0.920115\pi\) | |||||||
\(878\) | − | 5.35654i | − | 0.00610084i | ||||||
\(879\) | −808.614 | + | 1153.47i | −0.919924 | + | 1.31226i | ||||
\(880\) | 548.934 | 0.623788 | ||||||||
\(881\) | 561.812i | 0.637698i | 0.947806 | + | 0.318849i | \(0.103296\pi\) | ||||
−0.947806 | + | 0.318849i | \(0.896704\pi\) | |||||||
\(882\) | −3.26685 | + | 1.18498i | −0.00370391 | + | 0.00134352i | ||||
\(883\) | −149.082 | −0.168836 | −0.0844180 | − | 0.996430i | \(-0.526903\pi\) | ||||
−0.0844180 | + | 0.996430i | \(0.526903\pi\) | |||||||
\(884\) | 796.504i | 0.901022i | ||||||||
\(885\) | −90.2600 | − | 63.2745i | −0.101989 | − | 0.0714966i | ||||
\(886\) | −2.79186 | −0.00315108 | ||||||||
\(887\) | − | 1378.37i | − | 1.55397i | −0.629518 | − | 0.776986i | \(-0.716748\pi\) | ||
0.629518 | − | 0.776986i | \(-0.283252\pi\) | |||||||
\(888\) | 1.64363 | − | 2.34461i | 0.00185093 | − | 0.00264032i | ||||
\(889\) | −7.09717 | −0.00798332 | ||||||||
\(890\) | 5.43398i | 0.00610560i | ||||||||
\(891\) | 372.465 | + | 445.867i | 0.418030 | + | 0.500412i | ||||
\(892\) | 544.635 | 0.610578 | ||||||||
\(893\) | 81.9970i | 0.0918219i | ||||||||
\(894\) | 2.54334 | + | 1.78294i | 0.00284490 | + | 0.00199434i | ||||
\(895\) | 403.560 | 0.450905 | ||||||||
\(896\) | − | 0.660178i | − | 0.000736806i | ||||||
\(897\) | −1067.70 | + | 1523.05i | −1.19030 | + | 1.69794i | ||||
\(898\) | 5.11984 | 0.00570139 | ||||||||
\(899\) | 1248.42i | 1.38867i | ||||||||
\(900\) | 25.9951 | + | 71.6651i | 0.0288834 | + | 0.0796279i | ||||
\(901\) | −709.499 | −0.787458 | ||||||||
\(902\) | − | 0.709475i | − | 0.000786558i | ||||||
\(903\) | 0.959757 | + | 0.672813i | 0.00106285 | + | 0.000745087i | ||||
\(904\) | −0.353217 | −0.000390727 | ||||||||
\(905\) | − | 1438.91i | − | 1.58996i | ||||||
\(906\) | −1.95456 | + | 2.78815i | −0.00215735 | + | 0.00307742i | ||||
\(907\) | 389.898 | 0.429877 | 0.214938 | − | 0.976628i | \(-0.431045\pi\) | ||||
0.214938 | + | 0.976628i | \(0.431045\pi\) | |||||||
\(908\) | 1623.20i | 1.78766i | ||||||||
\(909\) | 1176.90 | − | 426.895i | 1.29472 | − | 0.469632i | ||||
\(910\) | −0.238990 | −0.000262627 | ||||||||
\(911\) | − | 1343.00i | − | 1.47420i | −0.675782 | − | 0.737102i | \(-0.736194\pi\) | ||
0.675782 | − | 0.737102i | \(-0.263806\pi\) | |||||||
\(912\) | −42.6914 | − | 29.9277i | −0.0468107 | − | 0.0328155i | ||||
\(913\) | 517.820 | 0.567164 | ||||||||
\(914\) | − | 3.31672i | − | 0.00362880i | ||||||
\(915\) | 718.542 | − | 1024.99i | 0.785292 | − | 1.12021i | ||||
\(916\) | −1389.36 | −1.51677 | ||||||||
\(917\) | 76.7378i | 0.0836835i | ||||||||
\(918\) | 0.570737 | − | 2.11610i | 0.000621717 | − | 0.00230512i | ||||
\(919\) | 562.598 | 0.612185 | 0.306093 | − | 0.952002i | \(-0.400978\pi\) | ||||
0.306093 | + | 0.952002i | \(0.400978\pi\) | |||||||
\(920\) | − | 9.67207i | − | 0.0105131i | ||||||
\(921\) | −490.916 | − | 344.144i | −0.533025 | − | 0.373663i | ||||
\(922\) | −6.56401 | −0.00711932 | ||||||||
\(923\) | 704.352i | 0.763111i | ||||||||
\(924\) | 16.1337 | − | 23.0145i | 0.0174608 | − | 0.0249075i | ||||
\(925\) | 31.9919 | 0.0345858 | ||||||||
\(926\) | 2.55311i | 0.00275713i | ||||||||
\(927\) | 73.8589 | + | 203.620i | 0.0796752 | + | 0.219654i | ||||
\(928\) | 11.2731 | 0.0121477 | ||||||||
\(929\) | − | 519.832i | − | 0.559561i | −0.960064 | − | 0.279780i | \(-0.909738\pi\) | ||
0.960064 | − | 0.279780i | \(-0.0902617\pi\) | |||||||
\(930\) | 3.89559 | + | 2.73090i | 0.00418881 | + | 0.00293646i | ||||
\(931\) | 53.1094 | 0.0570455 | ||||||||
\(932\) | − | 1845.35i | − | 1.97999i | ||||||
\(933\) | −483.917 | + | 690.300i | −0.518668 | + | 0.739872i | ||||
\(934\) | −3.69426 | −0.00395531 | ||||||||
\(935\) | − | 352.665i | − | 0.377182i | ||||||
\(936\) | −10.3552 | + | 3.75614i | −0.0110632 | + | 0.00401297i | ||||
\(937\) | 560.714 | 0.598414 | 0.299207 | − | 0.954188i | \(-0.403278\pi\) | ||||
0.299207 | + | 0.954188i | \(0.403278\pi\) | |||||||
\(938\) | 0.0970960i | 0.000103514i | ||||||||
\(939\) | 87.4328 | + | 61.2925i | 0.0931127 | + | 0.0652742i | ||||
\(940\) | 1444.37 | 1.53657 | ||||||||
\(941\) | − | 120.034i | − | 0.127560i | −0.997964 | − | 0.0637799i | \(-0.979684\pi\) | ||
0.997964 | − | 0.0637799i | \(-0.0203156\pi\) | |||||||
\(942\) | −1.58857 | + | 2.26607i | −0.00168638 | + | 0.00240560i | ||||
\(943\) | 400.861 | 0.425091 | ||||||||
\(944\) | 122.893i | 0.130183i | ||||||||
\(945\) | −40.7217 | − | 10.9831i | −0.0430917 | − | 0.0116223i | ||||
\(946\) | −0.0677689 | −7.16373e−5 | ||||||||
\(947\) | − | 84.1135i | − | 0.0888210i | −0.999013 | − | 0.0444105i | \(-0.985859\pi\) | ||
0.999013 | − | 0.0444105i | \(-0.0141410\pi\) | |||||||
\(948\) | −1021.29 | − | 715.946i | −1.07730 | − | 0.755217i | ||||
\(949\) | −489.967 | −0.516299 | ||||||||
\(950\) | 0.0181657i | 1.91218e-5i | ||||||||
\(951\) | −54.7344 | + | 78.0777i | −0.0575546 | + | 0.0821007i | ||||
\(952\) | −0.212064 | −0.000222756 | ||||||||
\(953\) | 199.810i | 0.209664i | 0.994490 | + | 0.104832i | \(0.0334305\pi\) | ||||
−0.994490 | + | 0.104832i | \(0.966569\pi\) | |||||||
\(954\) | −1.67291 | − | 4.61200i | −0.00175357 | − | 0.00483438i | ||||
\(955\) | −301.089 | −0.315277 | ||||||||
\(956\) | 1753.46i | 1.83416i | ||||||||
\(957\) | 523.989 | + | 367.329i | 0.547533 | + | 0.383834i | ||||
\(958\) | 0.190598 | 0.000198954 | ||||||||
\(959\) | − | 6.89281i | − | 0.00718750i | ||||||
\(960\) | −527.159 | + | 751.984i | −0.549124 | + | 0.783317i | ||||
\(961\) | 801.186 | 0.833700 | ||||||||
\(962\) | 2.31130i | 0.00240260i | ||||||||
\(963\) | −151.022 | + | 54.7800i | −0.156824 | + | 0.0568848i | ||||
\(964\) | −547.091 | −0.567521 | ||||||||
\(965\) | − | 252.375i | − | 0.261528i | ||||||
\(966\) | −0.202750 | − | 0.142133i | −0.000209886 | − | 0.000147135i | ||||
\(967\) | −1438.54 | −1.48763 | −0.743814 | − | 0.668387i | \(-0.766985\pi\) | ||||
−0.743814 | + | 0.668387i | \(0.766985\pi\) | |||||||
\(968\) | − | 4.39436i | − | 0.00453963i | ||||||
\(969\) | −19.2272 | + | 27.4273i | −0.0198423 | + | 0.0283047i | ||||
\(970\) | 2.18995 | 0.00225768 | ||||||||
\(971\) | − | 584.706i | − | 0.602168i | −0.953598 | − | 0.301084i | \(-0.902651\pi\) | ||
0.953598 | − | 0.301084i | \(-0.0973485\pi\) | |||||||
\(972\) | −968.515 | + | 82.0614i | −0.996414 | + | 0.0844253i | ||||
\(973\) | −54.2244 | −0.0557291 | ||||||||
\(974\) | 6.32192i | 0.00649068i | ||||||||
\(975\) | −100.778 | − | 70.6476i | −0.103362 | − | 0.0724591i | ||||
\(976\) | −1395.56 | −1.42988 | ||||||||
\(977\) | 78.5795i | 0.0804294i | 0.999191 | + | 0.0402147i | \(0.0128042\pi\) | ||||
−0.999191 | + | 0.0402147i | \(0.987196\pi\) | |||||||
\(978\) | 3.26913 | − | 4.66337i | 0.00334267 | − | 0.00476827i | ||||
\(979\) | 1031.71 | 1.05385 | ||||||||
\(980\) | − | 935.521i | − | 0.954613i | ||||||
\(981\) | 85.2007 | + | 234.888i | 0.0868509 | + | 0.239437i | ||||
\(982\) | 0.947503 | 0.000964871 | ||||||||
\(983\) | 1106.13i | 1.12526i | 0.826709 | + | 0.562630i | \(0.190210\pi\) | ||||
−0.826709 | + | 0.562630i | \(0.809790\pi\) | |||||||
\(984\) | 1.94390 | + | 1.36272i | 0.00197550 | + | 0.00138488i | ||||
\(985\) | 207.456 | 0.210616 | ||||||||
\(986\) | − | 2.41409i | − | 0.00244837i | ||||||
\(987\) | 42.4510 | − | 60.5557i | 0.0430102 | − | 0.0613533i | ||||
\(988\) | 84.1718 | 0.0851942 | ||||||||
\(989\) | − | 38.2901i | − | 0.0387160i | ||||||
\(990\) | 2.29245 | − | 0.831539i | 0.00231560 | − | 0.000839939i | ||||
\(991\) | 352.276 | 0.355475 | 0.177738 | − | 0.984078i | \(-0.443122\pi\) | ||||
0.177738 | + | 0.984078i | \(0.443122\pi\) | |||||||
\(992\) | − | 15.9124i | − | 0.0160407i | ||||||
\(993\) | 941.684 | + | 660.143i | 0.948322 | + | 0.664797i | ||||
\(994\) | −0.0937638 | −9.43298e−5 | ||||||||
\(995\) | 1516.05i | 1.52366i | ||||||||
\(996\) | −497.296 | + | 709.384i | −0.499293 | + | 0.712233i | ||||
\(997\) | −121.211 | −0.121576 | −0.0607878 | − | 0.998151i | \(-0.519361\pi\) | ||||
−0.0607878 | + | 0.998151i | \(0.519361\pi\) | |||||||
\(998\) | − | 1.83106i | − | 0.00183473i | ||||||
\(999\) | −106.219 | + | 393.824i | −0.106325 | + | 0.394218i |
(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 | 177.3.b.a.119.19 | ✓ | 38 | |
3.2 | odd | 2 | inner | 177.3.b.a.119.20 | yes | 38 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.3.b.a.119.19 | ✓ | 38 | 1.1 | even | 1 | trivial | |
177.3.b.a.119.20 | yes | 38 | 3.2 | odd | 2 | inner |