Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [338,4,Mod(191,338)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(338, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("338.191");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 338 = 2 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 338.c (of order \(3\), degree \(2\), not 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: | \(19.9426455819\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.64827.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{5} + 3x^{4} + 5x^{2} - 2x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 315.2 | ||
Root | \(0.900969 + 1.56052i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 338.315 |
Dual form | 338.4.c.l.191.2 |
$q$-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 \(\left(\mathbb{Z}/338\mathbb{Z}\right)^\times\).
\(n\) | \(171\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000 | + | 1.73205i | 0.353553 | + | 0.612372i | ||||
\(3\) | 1.83244 | + | 3.17387i | 0.352653 | + | 0.610812i | 0.986713 | − | 0.162471i | \(-0.0519464\pi\) |
−0.634061 | + | 0.773283i | \(0.718613\pi\) | |||||||
\(4\) | −2.00000 | + | 3.46410i | −0.250000 | + | 0.433013i | ||||
\(5\) | −8.53079 | −0.763017 | −0.381509 | − | 0.924365i | \(-0.624595\pi\) | ||||
−0.381509 | + | 0.924365i | \(0.624595\pi\) | |||||||
\(6\) | −3.66487 | + | 6.34775i | −0.249363 | + | 0.431910i | ||||
\(7\) | −2.10052 | + | 3.63821i | −0.113418 | + | 0.196445i | −0.917146 | − | 0.398551i | \(-0.869513\pi\) |
0.803729 | + | 0.594996i | \(0.202846\pi\) | |||||||
\(8\) | −8.00000 | −0.353553 | ||||||||
\(9\) | 6.78435 | − | 11.7508i | 0.251272 | − | 0.435216i | ||||
\(10\) | −8.53079 | − | 14.7758i | −0.269767 | − | 0.467251i | ||||
\(11\) | −32.6863 | − | 56.6143i | −0.895935 | − | 1.55180i | −0.832643 | − | 0.553810i | \(-0.813174\pi\) |
−0.0632915 | − | 0.997995i | \(-0.520160\pi\) | |||||||
\(12\) | −14.6595 | −0.352653 | ||||||||
\(13\) | 0 | 0 | ||||||||
\(14\) | −8.40209 | −0.160397 | ||||||||
\(15\) | −15.6321 | − | 27.0757i | −0.269080 | − | 0.466061i | ||||
\(16\) | −8.00000 | − | 13.8564i | −0.125000 | − | 0.216506i | ||||
\(17\) | 13.4510 | − | 23.2977i | 0.191902 | − | 0.332384i | −0.753979 | − | 0.656899i | \(-0.771868\pi\) |
0.945881 | + | 0.324515i | \(0.105201\pi\) | |||||||
\(18\) | 27.1374 | 0.355352 | ||||||||
\(19\) | −6.68648 | + | 11.5813i | −0.0807360 | + | 0.139839i | −0.903566 | − | 0.428448i | \(-0.859060\pi\) |
0.822830 | + | 0.568287i | \(0.192394\pi\) | |||||||
\(20\) | 17.0616 | − | 29.5515i | 0.190754 | − | 0.330396i | ||||
\(21\) | −15.3963 | −0.159988 | ||||||||
\(22\) | 65.3726 | − | 113.229i | 0.633522 | − | 1.09729i | ||||
\(23\) | −79.9645 | − | 138.503i | −0.724946 | − | 1.25564i | −0.958996 | − | 0.283419i | \(-0.908531\pi\) |
0.234050 | − | 0.972225i | \(-0.424802\pi\) | |||||||
\(24\) | −14.6595 | − | 25.3910i | −0.124682 | − | 0.215955i | ||||
\(25\) | −52.2255 | −0.417804 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 148.679 | 1.05975 | ||||||||
\(28\) | −8.40209 | − | 14.5529i | −0.0567088 | − | 0.0982225i | ||||
\(29\) | 150.644 | + | 260.923i | 0.964616 | + | 1.67076i | 0.710643 | + | 0.703553i | \(0.248404\pi\) |
0.253973 | + | 0.967211i | \(0.418262\pi\) | |||||||
\(30\) | 31.2643 | − | 54.1513i | 0.190268 | − | 0.329555i | ||||
\(31\) | 73.0232 | 0.423076 | 0.211538 | − | 0.977370i | \(-0.432153\pi\) | ||||
0.211538 | + | 0.977370i | \(0.432153\pi\) | |||||||
\(32\) | 16.0000 | − | 27.7128i | 0.0883883 | − | 0.153093i | ||||
\(33\) | 119.791 | − | 207.484i | 0.631908 | − | 1.09450i | ||||
\(34\) | 53.8038 | 0.271390 | ||||||||
\(35\) | 17.9191 | − | 31.0368i | 0.0865396 | − | 0.149891i | ||||
\(36\) | 27.1374 | + | 47.0033i | 0.125636 | + | 0.217608i | ||||
\(37\) | −59.3904 | − | 102.867i | −0.263885 | − | 0.457061i | 0.703386 | − | 0.710808i | \(-0.251670\pi\) |
−0.967271 | + | 0.253746i | \(0.918337\pi\) | |||||||
\(38\) | −26.7459 | −0.114178 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 68.2464 | 0.269767 | ||||||||
\(41\) | −216.451 | − | 374.903i | −0.824486 | − | 1.42805i | −0.902312 | − | 0.431084i | \(-0.858131\pi\) |
0.0778262 | − | 0.996967i | \(-0.475202\pi\) | |||||||
\(42\) | −15.3963 | − | 26.6672i | −0.0565643 | − | 0.0979723i | ||||
\(43\) | 178.254 | − | 308.745i | 0.632174 | − | 1.09496i | −0.354933 | − | 0.934892i | \(-0.615496\pi\) |
0.987106 | − | 0.160065i | \(-0.0511704\pi\) | |||||||
\(44\) | 261.490 | 0.895935 | ||||||||
\(45\) | −57.8759 | + | 100.244i | −0.191725 | + | 0.332078i | ||||
\(46\) | 159.929 | − | 277.005i | 0.512614 | − | 0.887874i | ||||
\(47\) | −588.614 | −1.82677 | −0.913385 | − | 0.407096i | \(-0.866541\pi\) | ||||
−0.913385 | + | 0.407096i | \(0.866541\pi\) | |||||||
\(48\) | 29.3190 | − | 50.7820i | 0.0881632 | − | 0.152703i | ||||
\(49\) | 162.676 | + | 281.762i | 0.474273 | + | 0.821465i | ||||
\(50\) | −52.2255 | − | 90.4573i | −0.147716 | − | 0.255852i | ||||
\(51\) | 98.5921 | 0.270699 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −269.462 | −0.698366 | −0.349183 | − | 0.937054i | \(-0.613541\pi\) | ||||
−0.349183 | + | 0.937054i | \(0.613541\pi\) | |||||||
\(54\) | 148.679 | + | 257.520i | 0.374679 | + | 0.648963i | ||||
\(55\) | 278.840 | + | 482.965i | 0.683614 | + | 1.18405i | ||||
\(56\) | 16.8042 | − | 29.1057i | 0.0400992 | − | 0.0694538i | ||||
\(57\) | −49.0102 | −0.113887 | ||||||||
\(58\) | −301.288 | + | 521.846i | −0.682087 | + | 1.18141i | ||||
\(59\) | 115.170 | − | 199.480i | 0.254133 | − | 0.440171i | −0.710527 | − | 0.703670i | \(-0.751543\pi\) |
0.964660 | + | 0.263499i | \(0.0848767\pi\) | |||||||
\(60\) | 125.057 | 0.269080 | ||||||||
\(61\) | 190.408 | − | 329.796i | 0.399659 | − | 0.692230i | −0.594024 | − | 0.804447i | \(-0.702462\pi\) |
0.993684 | + | 0.112217i | \(0.0357951\pi\) | |||||||
\(62\) | 73.0232 | + | 126.480i | 0.149580 | + | 0.259080i | ||||
\(63\) | 28.5014 | + | 49.3658i | 0.0569974 | + | 0.0987223i | ||||
\(64\) | 64.0000 | 0.125000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 479.164 | 0.893652 | ||||||||
\(67\) | 217.924 | + | 377.456i | 0.397368 | + | 0.688262i | 0.993400 | − | 0.114699i | \(-0.0365903\pi\) |
−0.596032 | + | 0.802961i | \(0.703257\pi\) | |||||||
\(68\) | 53.8038 | + | 93.1909i | 0.0959510 | + | 0.166192i | ||||
\(69\) | 293.060 | − | 507.595i | 0.511308 | − | 0.885612i | ||||
\(70\) | 71.6765 | 0.122385 | ||||||||
\(71\) | 32.9811 | − | 57.1249i | 0.0551287 | − | 0.0954857i | −0.837144 | − | 0.546982i | \(-0.815776\pi\) |
0.892273 | + | 0.451497i | \(0.149110\pi\) | |||||||
\(72\) | −54.2748 | + | 94.0067i | −0.0888381 | + | 0.153872i | ||||
\(73\) | −885.517 | −1.41975 | −0.709876 | − | 0.704326i | \(-0.751249\pi\) | ||||
−0.709876 | + | 0.704326i | \(0.751249\pi\) | |||||||
\(74\) | 118.781 | − | 205.735i | 0.186595 | − | 0.323191i | ||||
\(75\) | −95.7000 | − | 165.757i | −0.147340 | − | 0.255200i | ||||
\(76\) | −26.7459 | − | 46.3253i | −0.0403680 | − | 0.0699194i | ||||
\(77\) | 274.633 | 0.406459 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −385.463 | −0.548962 | −0.274481 | − | 0.961592i | \(-0.588506\pi\) | ||||
−0.274481 | + | 0.961592i | \(0.588506\pi\) | |||||||
\(80\) | 68.2464 | + | 118.206i | 0.0953772 | + | 0.165198i | ||||
\(81\) | 89.2679 | + | 154.616i | 0.122452 | + | 0.212094i | ||||
\(82\) | 432.901 | − | 749.807i | 0.582999 | − | 1.00978i | ||||
\(83\) | 254.207 | 0.336179 | 0.168089 | − | 0.985772i | \(-0.446240\pi\) | ||||
0.168089 | + | 0.985772i | \(0.446240\pi\) | |||||||
\(84\) | 30.7926 | − | 53.3344i | 0.0399970 | − | 0.0692769i | ||||
\(85\) | −114.747 | + | 198.748i | −0.146425 | + | 0.253615i | ||||
\(86\) | 713.016 | 0.894029 | ||||||||
\(87\) | −552.091 | + | 956.250i | −0.680349 | + | 1.17840i | ||||
\(88\) | 261.490 | + | 452.914i | 0.316761 | + | 0.548646i | ||||
\(89\) | −186.306 | − | 322.692i | −0.221892 | − | 0.384329i | 0.733490 | − | 0.679700i | \(-0.237890\pi\) |
−0.955383 | + | 0.295371i | \(0.904557\pi\) | |||||||
\(90\) | −231.504 | −0.271140 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 639.716 | 0.724946 | ||||||||
\(93\) | 133.810 | + | 231.766i | 0.149199 | + | 0.258420i | ||||
\(94\) | −588.614 | − | 1019.51i | −0.645861 | − | 1.11866i | ||||
\(95\) | 57.0410 | − | 98.7979i | 0.0616030 | − | 0.106699i | ||||
\(96\) | 117.276 | 0.124682 | ||||||||
\(97\) | 656.942 | − | 1137.86i | 0.687653 | − | 1.19105i | −0.284942 | − | 0.958545i | \(-0.591974\pi\) |
0.972595 | − | 0.232506i | \(-0.0746924\pi\) | |||||||
\(98\) | −325.351 | + | 563.525i | −0.335362 | + | 0.580863i | ||||
\(99\) | −887.020 | −0.900494 | ||||||||
\(100\) | 104.451 | − | 180.915i | 0.104451 | − | 0.180915i | ||||
\(101\) | −731.861 | − | 1267.62i | −0.721019 | − | 1.24884i | −0.960592 | − | 0.277963i | \(-0.910341\pi\) |
0.239573 | − | 0.970878i | \(-0.422993\pi\) | |||||||
\(102\) | 98.5921 | + | 170.767i | 0.0957066 | + | 0.165769i | ||||
\(103\) | 210.886 | 0.201740 | 0.100870 | − | 0.994900i | \(-0.467837\pi\) | ||||
0.100870 | + | 0.994900i | \(0.467837\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 131.343 | 0.122074 | ||||||||
\(106\) | −269.462 | − | 466.722i | −0.246910 | − | 0.427660i | ||||
\(107\) | −195.531 | − | 338.669i | −0.176660 | − | 0.305985i | 0.764074 | − | 0.645128i | \(-0.223196\pi\) |
−0.940735 | + | 0.339144i | \(0.889863\pi\) | |||||||
\(108\) | −297.358 | + | 515.040i | −0.264938 | + | 0.458886i | ||||
\(109\) | −1331.40 | −1.16996 | −0.584978 | − | 0.811049i | \(-0.698897\pi\) | ||||
−0.584978 | + | 0.811049i | \(0.698897\pi\) | |||||||
\(110\) | −557.680 | + | 965.930i | −0.483388 | + | 0.837253i | ||||
\(111\) | 217.658 | − | 376.996i | 0.186119 | − | 0.322368i | ||||
\(112\) | 67.2167 | 0.0567088 | ||||||||
\(113\) | 355.956 | − | 616.534i | 0.296332 | − | 0.513263i | −0.678962 | − | 0.734174i | \(-0.737570\pi\) |
0.975294 | + | 0.220911i | \(0.0709031\pi\) | |||||||
\(114\) | −49.0102 | − | 84.8882i | −0.0402652 | − | 0.0697413i | ||||
\(115\) | 682.161 | + | 1181.54i | 0.553146 | + | 0.958078i | ||||
\(116\) | −1205.15 | −0.964616 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 460.679 | 0.359398 | ||||||||
\(119\) | 56.5081 | + | 97.8748i | 0.0435301 | + | 0.0753964i | ||||
\(120\) | 125.057 | + | 216.605i | 0.0951342 | + | 0.164777i | ||||
\(121\) | −1471.29 | + | 2548.34i | −1.10540 | + | 1.91461i | ||||
\(122\) | 761.631 | 0.565204 | ||||||||
\(123\) | 793.264 | − | 1373.97i | 0.581514 | − | 1.00721i | ||||
\(124\) | −146.046 | + | 252.960i | −0.105769 | + | 0.183197i | ||||
\(125\) | 1511.87 | 1.08181 | ||||||||
\(126\) | −57.0027 | + | 98.7316i | −0.0403032 | + | 0.0698072i | ||||
\(127\) | 585.852 | + | 1014.73i | 0.409338 | + | 0.708995i | 0.994816 | − | 0.101694i | \(-0.0324262\pi\) |
−0.585477 | + | 0.810689i | \(0.699093\pi\) | |||||||
\(128\) | 64.0000 | + | 110.851i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | 1306.56 | 0.891751 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −1128.61 | −0.752726 | −0.376363 | − | 0.926472i | \(-0.622825\pi\) | ||||
−0.376363 | + | 0.926472i | \(0.622825\pi\) | |||||||
\(132\) | 479.164 | + | 829.937i | 0.315954 | + | 0.547248i | ||||
\(133\) | −28.0902 | − | 48.6537i | −0.0183138 | − | 0.0317204i | ||||
\(134\) | −435.848 | + | 754.911i | −0.280982 | + | 0.486675i | ||||
\(135\) | −1268.35 | −0.808610 | ||||||||
\(136\) | −107.608 | + | 186.382i | −0.0678476 | + | 0.117516i | ||||
\(137\) | −873.967 | + | 1513.76i | −0.545022 | + | 0.944006i | 0.453583 | + | 0.891214i | \(0.350145\pi\) |
−0.998606 | + | 0.0527923i | \(0.983188\pi\) | |||||||
\(138\) | 1172.24 | 0.723099 | ||||||||
\(139\) | −838.268 | + | 1451.92i | −0.511518 | + | 0.885975i | 0.488393 | + | 0.872624i | \(0.337583\pi\) |
−0.999911 | + | 0.0133509i | \(0.995750\pi\) | |||||||
\(140\) | 71.6765 | + | 124.147i | 0.0432698 | + | 0.0749455i | ||||
\(141\) | −1078.60 | − | 1868.19i | −0.644216 | − | 1.11581i | ||||
\(142\) | 131.924 | 0.0779637 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | −217.099 | −0.125636 | ||||||||
\(145\) | −1285.11 | − | 2225.88i | −0.736019 | − | 1.27482i | ||||
\(146\) | −885.517 | − | 1533.76i | −0.501958 | − | 0.869417i | ||||
\(147\) | −596.186 | + | 1032.62i | −0.334507 | + | 0.579384i | ||||
\(148\) | 475.124 | 0.263885 | ||||||||
\(149\) | −448.481 | + | 776.791i | −0.246584 | + | 0.427095i | −0.962576 | − | 0.271013i | \(-0.912641\pi\) |
0.715992 | + | 0.698108i | \(0.245975\pi\) | |||||||
\(150\) | 191.400 | − | 331.515i | 0.104185 | − | 0.180454i | ||||
\(151\) | 2078.28 | 1.12005 | 0.560027 | − | 0.828475i | \(-0.310791\pi\) | ||||
0.560027 | + | 0.828475i | \(0.310791\pi\) | |||||||
\(152\) | 53.4918 | − | 92.6506i | 0.0285445 | − | 0.0494405i | ||||
\(153\) | −182.512 | − | 316.120i | −0.0964393 | − | 0.167038i | ||||
\(154\) | 274.633 | + | 475.679i | 0.143705 | + | 0.248904i | ||||
\(155\) | −622.946 | −0.322814 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −3494.75 | −1.77650 | −0.888252 | − | 0.459357i | \(-0.848080\pi\) | ||||
−0.888252 | + | 0.459357i | \(0.848080\pi\) | |||||||
\(158\) | −385.463 | − | 667.642i | −0.194087 | − | 0.336169i | ||||
\(159\) | −493.772 | − | 855.238i | −0.246281 | − | 0.426571i | ||||
\(160\) | −136.493 | + | 236.412i | −0.0674419 | + | 0.116813i | ||||
\(161\) | 671.869 | 0.328887 | ||||||||
\(162\) | −178.536 | + | 309.233i | −0.0865870 | + | 0.149973i | ||||
\(163\) | −225.627 | + | 390.797i | −0.108420 | + | 0.187789i | −0.915130 | − | 0.403158i | \(-0.867912\pi\) |
0.806710 | + | 0.590947i | \(0.201246\pi\) | |||||||
\(164\) | 1731.61 | 0.824486 | ||||||||
\(165\) | −1021.91 | + | 1770.01i | −0.482157 | + | 0.835120i | ||||
\(166\) | 254.207 | + | 440.299i | 0.118857 | + | 0.205867i | ||||
\(167\) | 1601.68 | + | 2774.18i | 0.742164 | + | 1.28547i | 0.951508 | + | 0.307624i | \(0.0995338\pi\) |
−0.209344 | + | 0.977842i | \(0.567133\pi\) | |||||||
\(168\) | 123.170 | 0.0565643 | ||||||||
\(169\) | 0 | 0 | ||||||||
\(170\) | −458.989 | −0.207076 | ||||||||
\(171\) | 90.7268 | + | 157.143i | 0.0405734 | + | 0.0702752i | ||||
\(172\) | 713.016 | + | 1234.98i | 0.316087 | + | 0.547478i | ||||
\(173\) | −949.691 | + | 1644.91i | −0.417362 | + | 0.722893i | −0.995673 | − | 0.0929237i | \(-0.970379\pi\) |
0.578311 | + | 0.815816i | \(0.303712\pi\) | |||||||
\(174\) | −2208.36 | −0.962159 | ||||||||
\(175\) | 109.701 | − | 190.008i | 0.0473864 | − | 0.0820756i | ||||
\(176\) | −522.980 | + | 905.829i | −0.223984 | + | 0.387951i | ||||
\(177\) | 844.165 | 0.358482 | ||||||||
\(178\) | 372.612 | − | 645.384i | 0.156902 | − | 0.271762i | ||||
\(179\) | −1325.45 | − | 2295.74i | −0.553455 | − | 0.958612i | −0.998022 | − | 0.0628664i | \(-0.979976\pi\) |
0.444567 | − | 0.895746i | \(-0.353358\pi\) | |||||||
\(180\) | −231.504 | − | 400.976i | −0.0958625 | − | 0.166039i | ||||
\(181\) | −2289.94 | −0.940387 | −0.470194 | − | 0.882563i | \(-0.655816\pi\) | ||||
−0.470194 | + | 0.882563i | \(0.655816\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 1395.64 | 0.563764 | ||||||||
\(184\) | 639.716 | + | 1108.02i | 0.256307 | + | 0.443937i | ||||
\(185\) | 506.648 | + | 877.539i | 0.201349 | + | 0.348746i | ||||
\(186\) | −267.621 | + | 463.533i | −0.105500 | + | 0.182731i | ||||
\(187\) | −1758.65 | −0.687727 | ||||||||
\(188\) | 1177.23 | − | 2039.02i | 0.456693 | − | 0.791015i | ||||
\(189\) | −312.304 | + | 540.926i | −0.120195 | + | 0.208183i | ||||
\(190\) | 228.164 | 0.0871198 | ||||||||
\(191\) | 169.157 | − | 292.988i | 0.0640825 | − | 0.110994i | −0.832204 | − | 0.554469i | \(-0.812921\pi\) |
0.896287 | + | 0.443475i | \(0.146255\pi\) | |||||||
\(192\) | 117.276 | + | 203.128i | 0.0440816 | + | 0.0763515i | ||||
\(193\) | 1342.03 | + | 2324.46i | 0.500524 | + | 0.866933i | 1.00000 | 0.000605201i | \(0.000192642\pi\) | |
−0.499476 | + | 0.866328i | \(0.666474\pi\) | |||||||
\(194\) | 2627.77 | 0.972489 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −1301.40 | −0.474273 | ||||||||
\(197\) | 948.620 | + | 1643.06i | 0.343078 | + | 0.594229i | 0.985003 | − | 0.172539i | \(-0.0551971\pi\) |
−0.641925 | + | 0.766768i | \(0.721864\pi\) | |||||||
\(198\) | −887.020 | − | 1536.36i | −0.318373 | − | 0.551438i | ||||
\(199\) | 1207.80 | − | 2091.97i | 0.430245 | − | 0.745207i | −0.566649 | − | 0.823959i | \(-0.691760\pi\) |
0.996894 | + | 0.0787527i | \(0.0250937\pi\) | |||||||
\(200\) | 417.804 | 0.147716 | ||||||||
\(201\) | −798.665 | + | 1383.33i | −0.280266 | + | 0.485435i | ||||
\(202\) | 1463.72 | − | 2535.24i | 0.509837 | − | 0.883064i | ||||
\(203\) | −1265.72 | −0.437618 | ||||||||
\(204\) | −197.184 | + | 341.533i | −0.0676748 | + | 0.117216i | ||||
\(205\) | 1846.50 | + | 3198.22i | 0.629097 | + | 1.08963i | ||||
\(206\) | 210.886 | + | 365.265i | 0.0713258 | + | 0.123540i | ||||
\(207\) | −2170.03 | −0.728635 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 874.225 | 0.289337 | ||||||||
\(210\) | 131.343 | + | 227.492i | 0.0431596 | + | 0.0747546i | ||||
\(211\) | −1334.21 | − | 2310.92i | −0.435312 | − | 0.753982i | 0.562009 | − | 0.827131i | \(-0.310028\pi\) |
−0.997321 | + | 0.0731491i | \(0.976695\pi\) | |||||||
\(212\) | 538.924 | − | 933.443i | 0.174592 | − | 0.302402i | ||||
\(213\) | 241.743 | 0.0777651 | ||||||||
\(214\) | 391.061 | − | 677.338i | 0.124918 | − | 0.216364i | ||||
\(215\) | −1520.65 | + | 2633.84i | −0.482360 | + | 0.835471i | ||||
\(216\) | −1189.43 | −0.374679 | ||||||||
\(217\) | −153.387 | + | 265.674i | −0.0479842 | + | 0.0831112i | ||||
\(218\) | −1331.40 | − | 2306.06i | −0.413642 | − | 0.716449i | ||||
\(219\) | −1622.65 | − | 2810.52i | −0.500680 | − | 0.867202i | ||||
\(220\) | −2230.72 | −0.683614 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 870.634 | 0.263212 | ||||||||
\(223\) | −143.179 | − | 247.993i | −0.0429953 | − | 0.0744701i | 0.843727 | − | 0.536773i | \(-0.180357\pi\) |
−0.886722 | + | 0.462303i | \(0.847023\pi\) | |||||||
\(224\) | 67.2167 | + | 116.423i | 0.0200496 | + | 0.0347269i | ||||
\(225\) | −354.316 | + | 613.694i | −0.104983 | + | 0.181835i | ||||
\(226\) | 1423.82 | 0.419077 | ||||||||
\(227\) | 2600.62 | − | 4504.41i | 0.760393 | − | 1.31704i | −0.182255 | − | 0.983251i | \(-0.558340\pi\) |
0.942648 | − | 0.333788i | \(-0.108327\pi\) | |||||||
\(228\) | 98.0204 | − | 169.776i | 0.0284718 | − | 0.0493145i | ||||
\(229\) | −890.458 | −0.256957 | −0.128478 | − | 0.991712i | \(-0.541009\pi\) | ||||
−0.128478 | + | 0.991712i | \(0.541009\pi\) | |||||||
\(230\) | −1364.32 | + | 2363.08i | −0.391134 | + | 0.677463i | ||||
\(231\) | 503.248 | + | 871.651i | 0.143339 | + | 0.248270i | ||||
\(232\) | −1205.15 | − | 2087.38i | −0.341043 | − | 0.590704i | ||||
\(233\) | 4753.11 | 1.33642 | 0.668212 | − | 0.743971i | \(-0.267060\pi\) | ||||
0.668212 | + | 0.743971i | \(0.267060\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 5021.35 | 1.39386 | ||||||||
\(236\) | 460.679 | + | 797.919i | 0.127066 | + | 0.220085i | ||||
\(237\) | −706.337 | − | 1223.41i | −0.193593 | − | 0.335313i | ||||
\(238\) | −113.016 | + | 195.750i | −0.0307805 | + | 0.0533133i | ||||
\(239\) | 2292.62 | 0.620491 | 0.310245 | − | 0.950656i | \(-0.399589\pi\) | ||||
0.310245 | + | 0.950656i | \(0.399589\pi\) | |||||||
\(240\) | −250.114 | + | 433.211i | −0.0672700 | + | 0.116515i | ||||
\(241\) | 987.604 | − | 1710.58i | 0.263972 | − | 0.457212i | −0.703322 | − | 0.710871i | \(-0.748301\pi\) |
0.967294 | + | 0.253659i | \(0.0816341\pi\) | |||||||
\(242\) | −5885.14 | −1.56327 | ||||||||
\(243\) | 1680.01 | − | 2909.87i | 0.443510 | − | 0.768182i | ||||
\(244\) | 761.631 | + | 1319.18i | 0.199830 | + | 0.346115i | ||||
\(245\) | −1387.75 | − | 2403.66i | −0.361879 | − | 0.626792i | ||||
\(246\) | 3173.06 | 0.822385 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | −584.186 | −0.149580 | ||||||||
\(249\) | 465.818 | + | 806.821i | 0.118554 | + | 0.205342i | ||||
\(250\) | 1511.87 | + | 2618.64i | 0.382477 | + | 0.662470i | ||||
\(251\) | 3732.87 | − | 6465.52i | 0.938711 | − | 1.62590i | 0.170833 | − | 0.985300i | \(-0.445354\pi\) |
0.767879 | − | 0.640595i | \(-0.221312\pi\) | |||||||
\(252\) | −228.011 | −0.0569974 | ||||||||
\(253\) | −5227.49 | + | 9054.27i | −1.29901 | + | 2.24995i | ||||
\(254\) | −1171.70 | + | 2029.45i | −0.289446 | + | 0.501335i | ||||
\(255\) | −841.069 | −0.206548 | ||||||||
\(256\) | −128.000 | + | 221.703i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 277.483 | + | 480.615i | 0.0673499 | + | 0.116653i | 0.897734 | − | 0.440538i | \(-0.145212\pi\) |
−0.830384 | + | 0.557191i | \(0.811879\pi\) | |||||||
\(258\) | 1306.56 | + | 2263.02i | 0.315282 | + | 0.546084i | ||||
\(259\) | 499.004 | 0.119717 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 4088.08 | 0.969525 | ||||||||
\(262\) | −1128.61 | − | 1954.81i | −0.266129 | − | 0.460949i | ||||
\(263\) | 996.534 | + | 1726.05i | 0.233646 | + | 0.404687i | 0.958878 | − | 0.283817i | \(-0.0916010\pi\) |
−0.725232 | + | 0.688504i | \(0.758268\pi\) | |||||||
\(264\) | −958.329 | + | 1659.87i | −0.223413 | + | 0.386963i | ||||
\(265\) | 2298.72 | 0.532866 | ||||||||
\(266\) | 56.1804 | − | 97.3074i | 0.0129498 | − | 0.0224297i | ||||
\(267\) | 682.789 | − | 1182.63i | 0.156502 | − | 0.271069i | ||||
\(268\) | −1743.39 | −0.397368 | ||||||||
\(269\) | 2603.88 | − | 4510.06i | 0.590191 | − | 1.02224i | −0.404015 | − | 0.914752i | \(-0.632386\pi\) |
0.994206 | − | 0.107489i | \(-0.0342811\pi\) | |||||||
\(270\) | −1268.35 | − | 2196.85i | −0.285887 | − | 0.495170i | ||||
\(271\) | 2042.45 | + | 3537.63i | 0.457823 | + | 0.792972i | 0.998846 | − | 0.0480356i | \(-0.0152961\pi\) |
−0.541023 | + | 0.841008i | \(0.681963\pi\) | |||||||
\(272\) | −430.430 | −0.0959510 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −3495.87 | −0.770778 | ||||||||
\(275\) | 1707.06 | + | 2956.71i | 0.374325 | + | 0.648351i | ||||
\(276\) | 1172.24 | + | 2030.38i | 0.255654 | + | 0.442806i | ||||
\(277\) | −218.996 | + | 379.313i | −0.0475026 | + | 0.0822769i | −0.888799 | − | 0.458297i | \(-0.848460\pi\) |
0.841296 | + | 0.540574i | \(0.181793\pi\) | |||||||
\(278\) | −3353.07 | −0.723395 | ||||||||
\(279\) | 495.415 | − | 858.083i | 0.106307 | − | 0.184129i | ||||
\(280\) | −143.353 | + | 248.295i | −0.0305964 | + | 0.0529945i | ||||
\(281\) | −5462.34 | −1.15963 | −0.579815 | − | 0.814748i | \(-0.696875\pi\) | ||||
−0.579815 | + | 0.814748i | \(0.696875\pi\) | |||||||
\(282\) | 2157.20 | − | 3736.38i | 0.455529 | − | 0.789000i | ||||
\(283\) | 398.338 | + | 689.941i | 0.0836704 | + | 0.144921i | 0.904824 | − | 0.425786i | \(-0.140002\pi\) |
−0.821153 | + | 0.570707i | \(0.806669\pi\) | |||||||
\(284\) | 131.924 | + | 228.500i | 0.0275643 | + | 0.0477428i | ||||
\(285\) | 418.096 | 0.0868978 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 1818.64 | 0.374045 | ||||||||
\(288\) | −217.099 | − | 376.027i | −0.0444191 | − | 0.0769361i | ||||
\(289\) | 2094.64 | + | 3628.03i | 0.426347 | + | 0.738455i | ||||
\(290\) | 2570.22 | − | 4451.76i | 0.520444 | − | 0.901436i | ||||
\(291\) | 4815.22 | 0.970011 | ||||||||
\(292\) | 1771.03 | − | 3067.52i | 0.354938 | − | 0.614771i | ||||
\(293\) | 848.662 | − | 1469.93i | 0.169213 | − | 0.293085i | −0.768931 | − | 0.639332i | \(-0.779211\pi\) |
0.938143 | + | 0.346247i | \(0.112544\pi\) | |||||||
\(294\) | −2384.74 | −0.473065 | ||||||||
\(295\) | −982.490 | + | 1701.72i | −0.193908 | + | 0.335858i | ||||
\(296\) | 475.124 | + | 822.938i | 0.0932973 | + | 0.161596i | ||||
\(297\) | −4859.77 | − | 8417.37i | −0.949469 | − | 1.64453i | ||||
\(298\) | −1793.92 | −0.348722 | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 765.600 | 0.147340 | ||||||||
\(301\) | 748.853 | + | 1297.05i | 0.143399 | + | 0.248375i | ||||
\(302\) | 2078.28 | + | 3599.69i | 0.395999 | + | 0.685890i | ||||
\(303\) | 2682.18 | − | 4645.67i | 0.508538 | − | 0.880814i | ||||
\(304\) | 213.967 | 0.0403680 | ||||||||
\(305\) | −1624.33 | + | 2813.42i | −0.304947 | + | 0.528184i | ||||
\(306\) | 365.024 | − | 632.240i | 0.0681929 | − | 0.118114i | ||||
\(307\) | 9385.86 | 1.74488 | 0.872442 | − | 0.488718i | \(-0.162535\pi\) | ||||
0.872442 | + | 0.488718i | \(0.162535\pi\) | |||||||
\(308\) | −549.266 | + | 951.357i | −0.101615 | + | 0.176002i | ||||
\(309\) | 386.435 | + | 669.325i | 0.0711441 | + | 0.123225i | ||||
\(310\) | −622.946 | − | 1078.97i | −0.114132 | − | 0.197683i | ||||
\(311\) | −3282.65 | −0.598527 | −0.299264 | − | 0.954170i | \(-0.596741\pi\) | ||||
−0.299264 | + | 0.954170i | \(0.596741\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −5924.67 | −1.06991 | −0.534955 | − | 0.844880i | \(-0.679672\pi\) | ||||
−0.534955 | + | 0.844880i | \(0.679672\pi\) | |||||||
\(314\) | −3494.75 | − | 6053.08i | −0.628089 | − | 1.08788i | ||||
\(315\) | −243.139 | − | 421.130i | −0.0434900 | − | 0.0753269i | ||||
\(316\) | 770.927 | − | 1335.28i | 0.137241 | − | 0.237708i | ||||
\(317\) | 6467.88 | 1.14597 | 0.572985 | − | 0.819566i | \(-0.305785\pi\) | ||||
0.572985 | + | 0.819566i | \(0.305785\pi\) | |||||||
\(318\) | 987.544 | − | 1710.48i | 0.174147 | − | 0.301631i | ||||
\(319\) | 9847.98 | − | 17057.2i | 1.72847 | − | 2.99379i | ||||
\(320\) | −545.971 | −0.0953772 | ||||||||
\(321\) | 716.595 | − | 1241.18i | 0.124599 | − | 0.215813i | ||||
\(322\) | 671.869 | + | 1163.71i | 0.116279 | + | 0.201401i | ||||
\(323\) | 179.879 | + | 311.560i | 0.0309868 | + | 0.0536707i | ||||
\(324\) | −714.143 | −0.122452 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −902.508 | −0.153329 | ||||||||
\(327\) | −2439.71 | − | 4225.70i | −0.412588 | − | 0.714624i | ||||
\(328\) | 1731.61 | + | 2999.23i | 0.291500 | + | 0.504892i | ||||
\(329\) | 1236.40 | − | 2141.50i | 0.207188 | − | 0.358860i | ||||
\(330\) | −4087.65 | −0.681872 | ||||||||
\(331\) | −1754.62 | + | 3039.09i | −0.291368 | + | 0.504664i | −0.974133 | − | 0.225974i | \(-0.927444\pi\) |
0.682766 | + | 0.730637i | \(0.260777\pi\) | |||||||
\(332\) | −508.414 | + | 880.599i | −0.0840447 | + | 0.145570i | ||||
\(333\) | −1611.70 | −0.265227 | ||||||||
\(334\) | −3203.35 | + | 5548.37i | −0.524789 | + | 0.908962i | ||||
\(335\) | −1859.07 | − | 3220.00i | −0.303199 | − | 0.525156i | ||||
\(336\) | 123.170 | + | 213.337i | 0.0199985 | + | 0.0346384i | ||||
\(337\) | −1834.82 | −0.296584 | −0.148292 | − | 0.988944i | \(-0.547378\pi\) | ||||
−0.148292 | + | 0.988944i | \(0.547378\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 2609.07 | 0.418010 | ||||||||
\(340\) | −458.989 | − | 794.993i | −0.0732123 | − | 0.126807i | ||||
\(341\) | −2386.86 | − | 4134.16i | −0.379048 | − | 0.656531i | ||||
\(342\) | −181.454 | + | 314.287i | −0.0286897 | + | 0.0496921i | ||||
\(343\) | −2807.77 | −0.441999 | ||||||||
\(344\) | −1426.03 | + | 2469.96i | −0.223507 | + | 0.387126i | ||||
\(345\) | −2500.03 | + | 4330.19i | −0.390137 | + | 0.675737i | ||||
\(346\) | −3798.76 | −0.590239 | ||||||||
\(347\) | 3629.65 | − | 6286.74i | 0.561527 | − | 0.972593i | −0.435837 | − | 0.900026i | \(-0.643547\pi\) |
0.997364 | − | 0.0725673i | \(-0.0231192\pi\) | |||||||
\(348\) | −2208.36 | − | 3825.00i | −0.340175 | − | 0.589200i | ||||
\(349\) | 897.618 | + | 1554.72i | 0.137674 | + | 0.238459i | 0.926616 | − | 0.376009i | \(-0.122704\pi\) |
−0.788942 | + | 0.614468i | \(0.789371\pi\) | |||||||
\(350\) | 438.804 | 0.0670144 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −2091.92 | −0.316761 | ||||||||
\(353\) | 2276.19 | + | 3942.47i | 0.343199 | + | 0.594438i | 0.985025 | − | 0.172412i | \(-0.0551561\pi\) |
−0.641826 | + | 0.766850i | \(0.721823\pi\) | |||||||
\(354\) | 844.165 | + | 1462.14i | 0.126743 | + | 0.219525i | ||||
\(355\) | −281.355 | + | 487.321i | −0.0420641 | + | 0.0728572i | ||||
\(356\) | 1490.45 | 0.221892 | ||||||||
\(357\) | −207.095 | + | 358.699i | −0.0307020 | + | 0.0531775i | ||||
\(358\) | 2650.89 | − | 4591.48i | 0.391352 | − | 0.677841i | ||||
\(359\) | 10165.4 | 1.49445 | 0.747227 | − | 0.664569i | \(-0.231385\pi\) | ||||
0.747227 | + | 0.664569i | \(0.231385\pi\) | |||||||
\(360\) | 463.007 | − | 801.952i | 0.0677850 | − | 0.117407i | ||||
\(361\) | 3340.08 | + | 5785.19i | 0.486963 | + | 0.843445i | ||||
\(362\) | −2289.94 | − | 3966.30i | −0.332477 | − | 0.575867i | ||||
\(363\) | −10784.2 | −1.55929 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 7554.16 | 1.08330 | ||||||||
\(366\) | 1395.64 | + | 2417.32i | 0.199321 | + | 0.345233i | ||||
\(367\) | 5200.78 | + | 9008.01i | 0.739723 | + | 1.28124i | 0.952620 | + | 0.304163i | \(0.0983769\pi\) |
−0.212897 | + | 0.977075i | \(0.568290\pi\) | |||||||
\(368\) | −1279.43 | + | 2216.04i | −0.181237 | + | 0.313911i | ||||
\(369\) | −5873.91 | −0.828681 | ||||||||
\(370\) | −1013.30 | + | 1755.08i | −0.142375 | + | 0.246601i | ||||
\(371\) | 566.011 | − | 980.359i | 0.0792070 | − | 0.137191i | ||||
\(372\) | −1070.48 | −0.149199 | ||||||||
\(373\) | 3976.70 | − | 6887.85i | 0.552027 | − | 0.956138i | −0.446101 | − | 0.894982i | \(-0.647188\pi\) |
0.998128 | − | 0.0611560i | \(-0.0194787\pi\) | |||||||
\(374\) | −1758.65 | − | 3046.06i | −0.243148 | − | 0.421145i | ||||
\(375\) | 2770.42 | + | 4798.50i | 0.381503 | + | 0.660783i | ||||
\(376\) | 4708.91 | 0.645861 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | −1249.22 | −0.169981 | ||||||||
\(379\) | −4507.41 | − | 7807.06i | −0.610897 | − | 1.05810i | −0.991090 | − | 0.133197i | \(-0.957476\pi\) |
0.380193 | − | 0.924907i | \(-0.375858\pi\) | |||||||
\(380\) | 228.164 | + | 395.192i | 0.0308015 | + | 0.0533497i | ||||
\(381\) | −2147.07 | + | 3718.84i | −0.288709 | + | 0.500058i | ||||
\(382\) | 676.627 | 0.0906263 | ||||||||
\(383\) | 1248.12 | − | 2161.81i | 0.166517 | − | 0.288415i | −0.770676 | − | 0.637227i | \(-0.780081\pi\) |
0.937193 | + | 0.348812i | \(0.113415\pi\) | |||||||
\(384\) | −234.552 | + | 406.256i | −0.0311704 | + | 0.0539887i | ||||
\(385\) | −2342.84 | −0.310135 | ||||||||
\(386\) | −2684.05 | + | 4648.91i | −0.353924 | + | 0.613014i | ||||
\(387\) | −2418.67 | − | 4189.26i | −0.317695 | − | 0.550264i | ||||
\(388\) | 2627.77 | + | 4551.43i | 0.343827 | + | 0.595525i | ||||
\(389\) | 10896.9 | 1.42029 | 0.710145 | − | 0.704056i | \(-0.248629\pi\) | ||||
0.710145 | + | 0.704056i | \(0.248629\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −4302.40 | −0.556475 | ||||||||
\(392\) | −1301.40 | − | 2254.10i | −0.167681 | − | 0.290432i | ||||
\(393\) | −2068.11 | − | 3582.07i | −0.265451 | − | 0.459774i | ||||
\(394\) | −1897.24 | + | 3286.12i | −0.242593 | + | 0.420183i | ||||
\(395\) | 3288.31 | 0.418868 | ||||||||
\(396\) | 1774.04 | − | 3072.73i | 0.225123 | − | 0.389925i | ||||
\(397\) | −5443.57 | + | 9428.55i | −0.688174 | + | 1.19195i | 0.284254 | + | 0.958749i | \(0.408254\pi\) |
−0.972428 | + | 0.233203i | \(0.925079\pi\) | |||||||
\(398\) | 4831.21 | 0.608459 | ||||||||
\(399\) | 102.947 | − | 178.310i | 0.0129168 | − | 0.0223725i | ||||
\(400\) | 417.804 | + | 723.658i | 0.0522255 | + | 0.0904573i | ||||
\(401\) | −4984.38 | − | 8633.20i | −0.620718 | − | 1.07512i | −0.989352 | − | 0.145541i | \(-0.953508\pi\) |
0.368634 | − | 0.929575i | \(-0.379826\pi\) | |||||||
\(402\) | −3194.66 | −0.396356 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 5854.89 | 0.721019 | ||||||||
\(405\) | −761.526 | − | 1319.00i | −0.0934334 | − | 0.161831i | ||||
\(406\) | −1265.72 | − | 2192.30i | −0.154721 | − | 0.267985i | ||||
\(407\) | −3882.50 | + | 6724.70i | −0.472847 | + | 0.818994i | ||||
\(408\) | −788.737 | −0.0957066 | ||||||||
\(409\) | −2018.16 | + | 3495.56i | −0.243989 | + | 0.422602i | −0.961847 | − | 0.273588i | \(-0.911790\pi\) |
0.717858 | + | 0.696190i | \(0.245123\pi\) | |||||||
\(410\) | −3692.99 | + | 6396.45i | −0.444839 | + | 0.770483i | ||||
\(411\) | −6405.96 | −0.768814 | ||||||||
\(412\) | −421.772 | + | 730.530i | −0.0504350 | + | 0.0873559i | ||||
\(413\) | 483.833 | + | 838.024i | 0.0576462 | + | 0.0998462i | ||||
\(414\) | −2170.03 | − | 3758.60i | −0.257611 | − | 0.446196i | ||||
\(415\) | −2168.59 | −0.256510 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −6144.29 | −0.721552 | ||||||||
\(418\) | 874.225 | + | 1514.20i | 0.102296 | + | 0.177182i | ||||
\(419\) | −7597.43 | − | 13159.1i | −0.885821 | − | 1.53429i | −0.844770 | − | 0.535129i | \(-0.820263\pi\) |
−0.0410504 | − | 0.999157i | \(-0.513070\pi\) | |||||||
\(420\) | −262.685 | + | 454.985i | −0.0305184 | + | 0.0528595i | ||||
\(421\) | 10154.8 | 1.17556 | 0.587782 | − | 0.809019i | \(-0.300001\pi\) | ||||
0.587782 | + | 0.809019i | \(0.300001\pi\) | |||||||
\(422\) | 2668.42 | − | 4621.84i | 0.307812 | − | 0.533146i | ||||
\(423\) | −3993.36 | + | 6916.71i | −0.459017 | + | 0.795040i | ||||
\(424\) | 2155.69 | 0.246910 | ||||||||
\(425\) | −702.483 | + | 1216.74i | −0.0801775 | + | 0.138872i | ||||
\(426\) | 241.743 | + | 418.711i | 0.0274941 | + | 0.0476212i | ||||
\(427\) | 799.912 | + | 1385.49i | 0.0906568 | + | 0.157022i | ||||
\(428\) | 1564.24 | 0.176660 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −6082.59 | −0.682159 | ||||||||
\(431\) | 3308.42 | + | 5730.35i | 0.369747 | + | 0.640420i | 0.989526 | − | 0.144356i | \(-0.0461111\pi\) |
−0.619779 | + | 0.784776i | \(0.712778\pi\) | |||||||
\(432\) | −1189.43 | − | 2060.16i | −0.132469 | − | 0.229443i | ||||
\(433\) | −2848.80 | + | 4934.27i | −0.316177 | + | 0.547635i | −0.979687 | − | 0.200533i | \(-0.935733\pi\) |
0.663510 | + | 0.748167i | \(0.269066\pi\) | |||||||
\(434\) | −613.548 | −0.0678600 | ||||||||
\(435\) | 4709.77 | − | 8157.57i | 0.519118 | − | 0.899139i | ||||
\(436\) | 2662.81 | − | 4612.11i | 0.292489 | − | 0.506606i | ||||
\(437\) | 2138.73 | 0.234117 | ||||||||
\(438\) | 3245.31 | − | 5621.04i | 0.354034 | − | 0.613205i | ||||
\(439\) | −218.004 | − | 377.593i | −0.0237010 | − | 0.0410513i | 0.853932 | − | 0.520385i | \(-0.174212\pi\) |
−0.877633 | + | 0.479334i | \(0.840878\pi\) | |||||||
\(440\) | −2230.72 | − | 3863.72i | −0.241694 | − | 0.418626i | ||||
\(441\) | 4414.59 | 0.476686 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 6609.58 | 0.708873 | 0.354436 | − | 0.935080i | \(-0.384673\pi\) | ||||
0.354436 | + | 0.935080i | \(0.384673\pi\) | |||||||
\(444\) | 870.634 | + | 1507.98i | 0.0930596 | + | 0.161184i | ||||
\(445\) | 1589.34 | + | 2752.82i | 0.169308 | + | 0.293250i | ||||
\(446\) | 286.358 | − | 495.986i | 0.0304023 | − | 0.0526583i | ||||
\(447\) | −3287.25 | −0.347833 | ||||||||
\(448\) | −134.433 | + | 232.846i | −0.0141772 | + | 0.0245556i | ||||
\(449\) | −4007.65 | + | 6941.46i | −0.421231 | + | 0.729594i | −0.996060 | − | 0.0886795i | \(-0.971735\pi\) |
0.574829 | + | 0.818274i | \(0.305069\pi\) | |||||||
\(450\) | −1417.26 | −0.148468 | ||||||||
\(451\) | −14149.9 | + | 24508.4i | −1.47737 | + | 2.55888i | ||||
\(452\) | 1423.82 | + | 2466.14i | 0.148166 | + | 0.256631i | ||||
\(453\) | 3808.32 | + | 6596.20i | 0.394990 | + | 0.684142i | ||||
\(454\) | 10402.5 | 1.07536 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 392.082 | 0.0402652 | ||||||||
\(457\) | 2253.52 | + | 3903.21i | 0.230668 | + | 0.399528i | 0.958005 | − | 0.286752i | \(-0.0925757\pi\) |
−0.727337 | + | 0.686280i | \(0.759242\pi\) | |||||||
\(458\) | −890.458 | − | 1542.32i | −0.0908480 | − | 0.157353i | ||||
\(459\) | 1999.88 | − | 3463.89i | 0.203369 | − | 0.352245i | ||||
\(460\) | −5457.29 | −0.553146 | ||||||||
\(461\) | −1051.78 | + | 1821.73i | −0.106260 | + | 0.184048i | −0.914252 | − | 0.405145i | \(-0.867221\pi\) |
0.807992 | + | 0.589193i | \(0.200554\pi\) | |||||||
\(462\) | −1006.50 | + | 1743.30i | −0.101356 | + | 0.175554i | ||||
\(463\) | 5468.28 | 0.548883 | 0.274441 | − | 0.961604i | \(-0.411507\pi\) | ||||
0.274441 | + | 0.961604i | \(0.411507\pi\) | |||||||
\(464\) | 2410.30 | − | 4174.77i | 0.241154 | − | 0.417691i | ||||
\(465\) | −1141.51 | − | 1977.15i | −0.113841 | − | 0.197179i | ||||
\(466\) | 4753.11 | + | 8232.63i | 0.472497 | + | 0.818389i | ||||
\(467\) | −6043.79 | −0.598872 | −0.299436 | − | 0.954116i | \(-0.596799\pi\) | ||||
−0.299436 | + | 0.954116i | \(0.596799\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1831.02 | −0.180274 | ||||||||
\(470\) | 5021.35 | + | 8697.23i | 0.492803 | + | 0.853560i | ||||
\(471\) | −6403.90 | − | 11091.9i | −0.626489 | − | 1.08511i | ||||
\(472\) | −921.358 | + | 1595.84i | −0.0898495 | + | 0.155624i | ||||
\(473\) | −23305.8 | −2.26555 | ||||||||
\(474\) | 1412.67 | − | 2446.82i | 0.136891 | − | 0.237102i | ||||
\(475\) | 349.205 | − | 604.841i | 0.0337318 | − | 0.0584253i | ||||
\(476\) | −452.065 | −0.0435301 | ||||||||
\(477\) | −1828.12 | + | 3166.40i | −0.175480 | + | 0.303940i | ||||
\(478\) | 2292.62 | + | 3970.94i | 0.219377 | + | 0.379972i | ||||
\(479\) | 4240.65 | + | 7345.02i | 0.404510 | + | 0.700632i | 0.994264 | − | 0.106951i | \(-0.0341088\pi\) |
−0.589754 | + | 0.807583i | \(0.700775\pi\) | |||||||
\(480\) | −1000.46 | −0.0951342 | ||||||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 3950.42 | 0.373312 | ||||||||
\(483\) | 1231.16 | + | 2132.43i | 0.115983 | + | 0.200888i | ||||
\(484\) | −5885.14 | − | 10193.4i | −0.552699 | − | 0.957303i | ||||
\(485\) | −5604.24 | + | 9706.83i | −0.524691 | + | 0.908792i | ||||
\(486\) | 6720.05 | 0.627218 | ||||||||
\(487\) | 3311.68 | − | 5735.99i | 0.308145 | − | 0.533722i | −0.669812 | − | 0.742531i | \(-0.733625\pi\) |
0.977957 | + | 0.208809i | \(0.0669586\pi\) | |||||||
\(488\) | −1523.26 | + | 2638.37i | −0.141301 | + | 0.244740i | ||||
\(489\) | −1653.79 | −0.152939 | ||||||||
\(490\) | 2775.50 | − | 4807.31i | 0.255887 | − | 0.443209i | ||||
\(491\) | −8189.68 | − | 14184.9i | −0.752739 | − | 1.30378i | −0.946490 | − | 0.322732i | \(-0.895399\pi\) |
0.193751 | − | 0.981051i | \(-0.437935\pi\) | |||||||
\(492\) | 3173.06 | + | 5495.90i | 0.290757 | + | 0.503606i | ||||
\(493\) | 8105.21 | 0.740447 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 7566.99 | 0.687093 | ||||||||
\(496\) | −584.186 | − | 1011.84i | −0.0528845 | − | 0.0915986i | ||||
\(497\) | 138.555 | + | 239.985i | 0.0125051 | + | 0.0216595i | ||||
\(498\) | −931.637 | + | 1613.64i | −0.0838306 | + | 0.145199i | ||||
\(499\) | −7915.70 | −0.710131 | −0.355065 | − | 0.934841i | \(-0.615541\pi\) | ||||
−0.355065 | + | 0.934841i | \(0.615541\pi\) | |||||||
\(500\) | −3023.75 | + | 5237.29i | −0.270452 | + | 0.468437i | ||||
\(501\) | −5869.94 | + | 10167.0i | −0.523452 | + | 0.906646i | ||||
\(502\) | 14931.5 | 1.32754 | ||||||||
\(503\) | 239.755 | − | 415.269i | 0.0212528 | − | 0.0368110i | −0.855203 | − | 0.518293i | \(-0.826568\pi\) |
0.876456 | + | 0.481482i | \(0.159901\pi\) | |||||||
\(504\) | −228.011 | − | 394.926i | −0.0201516 | − | 0.0349036i | ||||
\(505\) | 6243.36 | + | 10813.8i | 0.550150 | + | 0.952888i | ||||
\(506\) | −20909.9 | −1.83708 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −4686.82 | −0.409338 | ||||||||
\(509\) | −596.164 | − | 1032.59i | −0.0519145 | − | 0.0899186i | 0.838900 | − | 0.544285i | \(-0.183199\pi\) |
−0.890815 | + | 0.454366i | \(0.849866\pi\) | |||||||
\(510\) | −841.069 | − | 1456.77i | −0.0730258 | − | 0.126484i | ||||
\(511\) | 1860.05 | − | 3221.70i | 0.161025 | − | 0.278903i | ||||
\(512\) | −512.000 | −0.0441942 | ||||||||
\(513\) | −994.140 | + | 1721.90i | −0.0855602 | + | 0.148195i | ||||
\(514\) | −554.966 | + | 961.229i | −0.0476236 | + | 0.0824864i | ||||
\(515\) | −1799.02 | −0.153931 | ||||||||
\(516\) | −2613.11 | + | 4526.04i | −0.222938 | + | 0.386140i | ||||
\(517\) | 19239.6 | + | 33324.0i | 1.63667 | + | 2.83479i | ||||
\(518\) | 499.004 | + | 864.300i | 0.0423262 | + | 0.0733111i | ||||
\(519\) | −6961.00 | −0.588736 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −23238.5 | −1.95412 | −0.977062 | − | 0.212955i | \(-0.931691\pi\) | ||||
−0.977062 | + | 0.212955i | \(0.931691\pi\) | |||||||
\(522\) | 4088.08 | + | 7080.77i | 0.342779 | + | 0.593710i | ||||
\(523\) | 5513.14 | + | 9549.03i | 0.460942 | + | 0.798375i | 0.999008 | − | 0.0445277i | \(-0.0141783\pi\) |
−0.538066 | + | 0.842903i | \(0.680845\pi\) | |||||||
\(524\) | 2257.22 | − | 3909.62i | 0.188181 | − | 0.325940i | ||||
\(525\) | 804.080 | 0.0668437 | ||||||||
\(526\) | −1993.07 | + | 3452.10i | −0.165213 | + | 0.286157i | ||||
\(527\) | 982.231 | − | 1701.27i | 0.0811891 | − | 0.140624i | ||||
\(528\) | −3833.32 | −0.315954 | ||||||||
\(529\) | −6705.15 | + | 11613.7i | −0.551093 | + | 0.954522i | ||||
\(530\) | 2298.72 | + | 3981.51i | 0.188397 | + | 0.326312i | ||||
\(531\) | −1562.70 | − | 2706.68i | −0.127713 | − | 0.221205i | ||||
\(532\) | 224.722 | 0.0183138 | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 2731.16 | 0.221327 | ||||||||
\(535\) | 1668.03 | + | 2889.11i | 0.134795 | + | 0.233472i | ||||
\(536\) | −1743.39 | − | 3019.65i | −0.140491 | − | 0.243337i | ||||
\(537\) | 4857.59 | − | 8413.59i | 0.390355 | − | 0.676114i | ||||
\(538\) | 10415.5 | 0.834657 | ||||||||
\(539\) | 10634.5 | − | 18419.5i | 0.849835 | − | 1.47196i | ||||
\(540\) | 2536.70 | − | 4393.70i | 0.202152 | − | 0.350138i | ||||
\(541\) | 8987.70 | 0.714254 | 0.357127 | − | 0.934056i | \(-0.383756\pi\) | ||||
0.357127 | + | 0.934056i | \(0.383756\pi\) | |||||||
\(542\) | −4084.90 | + | 7075.25i | −0.323730 | + | 0.560716i | ||||
\(543\) | −4196.17 | − | 7267.99i | −0.331630 | − | 0.574400i | ||||
\(544\) | −430.430 | − | 745.527i | −0.0339238 | − | 0.0587578i | ||||
\(545\) | 11357.9 | 0.892697 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −10734.8 | −0.839101 | −0.419550 | − | 0.907732i | \(-0.637812\pi\) | ||||
−0.419550 | + | 0.907732i | \(0.637812\pi\) | |||||||
\(548\) | −3495.87 | − | 6055.02i | −0.272511 | − | 0.472003i | ||||
\(549\) | −2583.59 | − | 4474.90i | −0.200847 | − | 0.347876i | ||||
\(550\) | −3414.12 | + | 5913.42i | −0.264688 | + | 0.458453i | ||||
\(551\) | −4029.11 | −0.311517 | ||||||||
\(552\) | −2344.48 | + | 4060.76i | −0.180775 | + | 0.313111i | ||||
\(553\) | 809.675 | − | 1402.40i | 0.0622620 | − | 0.107841i | ||||
\(554\) | −875.985 | −0.0671788 | ||||||||
\(555\) | −1856.80 | + | 3216.07i | −0.142012 | + | 0.245972i | ||||
\(556\) | −3353.07 | − | 5807.69i | −0.255759 | − | 0.442987i | ||||
\(557\) | −6614.13 | − | 11456.0i | −0.503141 | − | 0.871466i | −0.999993 | − | 0.00363111i | \(-0.998844\pi\) |
0.496852 | − | 0.867835i | \(-0.334489\pi\) | |||||||
\(558\) | 1981.66 | 0.150341 | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | −573.412 | −0.0432698 | ||||||||
\(561\) | −3222.61 | − | 5581.72i | −0.242529 | − | 0.420072i | ||||
\(562\) | −5462.34 | − | 9461.06i | −0.409991 | − | 0.710126i | ||||
\(563\) | −5366.98 | + | 9295.89i | −0.401761 | + | 0.695870i | −0.993939 | − | 0.109937i | \(-0.964935\pi\) |
0.592178 | + | 0.805807i | \(0.298268\pi\) | |||||||
\(564\) | 8628.79 | 0.644216 | ||||||||
\(565\) | −3036.59 | + | 5259.53i | −0.226107 | + | 0.391628i | ||||
\(566\) | −796.676 | + | 1379.88i | −0.0591639 | + | 0.102475i | ||||
\(567\) | −750.037 | −0.0555531 | ||||||||
\(568\) | −263.849 | + | 457.000i | −0.0194909 | + | 0.0337593i | ||||
\(569\) | −2656.73 | − | 4601.58i | −0.195739 | − | 0.339031i | 0.751403 | − | 0.659843i | \(-0.229377\pi\) |
−0.947143 | + | 0.320813i | \(0.896044\pi\) | |||||||
\(570\) | 418.096 | + | 724.164i | 0.0307230 | + | 0.0532138i | ||||
\(571\) | 4629.37 | 0.339287 | 0.169644 | − | 0.985505i | \(-0.445738\pi\) | ||||
0.169644 | + | 0.985505i | \(0.445738\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 1239.88 | 0.0903954 | ||||||||
\(574\) | 1818.64 | + | 3149.97i | 0.132245 | + | 0.229055i | ||||
\(575\) | 4176.19 | + | 7233.37i | 0.302886 | + | 0.524613i | ||||
\(576\) | 434.198 | − | 752.053i | 0.0314090 | − | 0.0544020i | ||||
\(577\) | −504.750 | −0.0364177 | −0.0182088 | − | 0.999834i | \(-0.505796\pi\) | ||||
−0.0182088 | + | 0.999834i | \(0.505796\pi\) | |||||||
\(578\) | −4189.29 | + | 7256.06i | −0.301473 | + | 0.522167i | ||||
\(579\) | −4918.36 | + | 8518.84i | −0.353022 | + | 0.611453i | ||||
\(580\) | 10280.9 | 0.736019 | ||||||||
\(581\) | −533.968 | + | 924.859i | −0.0381286 | + | 0.0660407i | ||||
\(582\) | 4815.22 | + | 8340.21i | 0.342951 | + | 0.594008i | ||||
\(583\) | 8807.70 | + | 15255.4i | 0.625691 | + | 1.08373i | ||||
\(584\) | 7084.14 | 0.501958 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 3394.65 | 0.239303 | ||||||||
\(587\) | −2766.47 | − | 4791.66i | −0.194522 | − | 0.336922i | 0.752222 | − | 0.658910i | \(-0.228982\pi\) |
−0.946744 | + | 0.321988i | \(0.895649\pi\) | |||||||
\(588\) | −2384.74 | − | 4130.50i | −0.167254 | − | 0.289692i | ||||
\(589\) | −488.268 | + | 845.705i | −0.0341575 | + | 0.0591624i | ||||
\(590\) | −3929.96 | −0.274227 | ||||||||
\(591\) | −3476.57 | + | 6021.60i | −0.241975 | + | 0.419113i | ||||
\(592\) | −950.247 | + | 1645.88i | −0.0659711 | + | 0.114265i | ||||
\(593\) | −18079.8 | −1.25202 | −0.626009 | − | 0.779816i | \(-0.715313\pi\) | ||||
−0.626009 | + | 0.779816i | \(0.715313\pi\) | |||||||
\(594\) | 9719.54 | − | 16834.7i | 0.671376 | − | 1.16286i | ||||
\(595\) | −482.059 | − | 834.950i | −0.0332143 | − | 0.0575288i | ||||
\(596\) | −1793.92 | − | 3107.16i | −0.123292 | − | 0.213548i | ||||
\(597\) | 8852.88 | 0.606909 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −1837.55 | −0.125342 | −0.0626712 | − | 0.998034i | \(-0.519962\pi\) | ||||
−0.0626712 | + | 0.998034i | \(0.519962\pi\) | |||||||
\(600\) | 765.600 | + | 1326.06i | 0.0520925 | + | 0.0902268i | ||||
\(601\) | 11743.6 | + | 20340.6i | 0.797060 | + | 1.38055i | 0.921523 | + | 0.388324i | \(0.126946\pi\) |
−0.124463 | + | 0.992224i | \(0.539721\pi\) | |||||||
\(602\) | −1497.71 | + | 2594.10i | −0.101399 | + | 0.175627i | ||||
\(603\) | 5913.89 | 0.399390 | ||||||||
\(604\) | −4156.56 | + | 7199.37i | −0.280013 | + | 0.484997i | ||||
\(605\) | 12551.2 | − | 21739.4i | 0.843438 | − | 1.46088i | ||||
\(606\) | 10728.7 | 0.719182 | ||||||||
\(607\) | 8155.42 | − | 14125.6i | 0.545335 | − | 0.944548i | −0.453251 | − | 0.891383i | \(-0.649736\pi\) |
0.998586 | − | 0.0531648i | \(-0.0169309\pi\) | |||||||
\(608\) | 213.967 | + | 370.602i | 0.0142722 | + | 0.0247202i | ||||
\(609\) | −2319.36 | − | 4017.25i | −0.154327 | − | 0.267302i | ||||
\(610\) | −6497.32 | −0.431260 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 1460.09 | 0.0964393 | ||||||||
\(613\) | −4226.56 | − | 7320.61i | −0.278481 | − | 0.482344i | 0.692526 | − | 0.721393i | \(-0.256498\pi\) |
−0.971008 | + | 0.239049i | \(0.923164\pi\) | |||||||
\(614\) | 9385.86 | + | 16256.8i | 0.616910 | + | 1.06852i | ||||
\(615\) | −6767.18 | + | 11721.1i | −0.443705 | + | 0.768520i | ||||
\(616\) | −2197.06 | −0.143705 | ||||||||
\(617\) | 6705.17 | − | 11613.7i | 0.437504 | − | 0.757779i | −0.559992 | − | 0.828498i | \(-0.689196\pi\) |
0.997496 | + | 0.0707186i | \(0.0225292\pi\) | |||||||
\(618\) | −772.870 | + | 1338.65i | −0.0503065 | + | 0.0871334i | ||||
\(619\) | −890.135 | −0.0577990 | −0.0288995 | − | 0.999582i | \(-0.509200\pi\) | ||||
−0.0288995 | + | 0.999582i | \(0.509200\pi\) | |||||||
\(620\) | 1245.89 | − | 2157.95i | 0.0807036 | − | 0.139783i | ||||
\(621\) | −11889.1 | − | 20592.5i | −0.768263 | − | 1.33067i | ||||
\(622\) | −3282.65 | − | 5685.72i | −0.211611 | − | 0.366522i | ||||
\(623\) | 1565.36 | 0.100666 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −6369.30 | −0.407635 | ||||||||
\(626\) | −5924.67 | − | 10261.8i | −0.378271 | − | 0.655184i | ||||
\(627\) | 1601.96 | + | 2774.68i | 0.102035 | + | 0.176730i | ||||
\(628\) | 6989.49 | − | 12106.2i | 0.444126 | − | 0.769249i | ||||
\(629\) | −3195.43 | −0.202560 | ||||||||
\(630\) | 486.278 | − | 842.259i | 0.0307521 | − | 0.0532641i | ||||
\(631\) | 5291.22 | − | 9164.66i | 0.333819 | − | 0.578192i | −0.649438 | − | 0.760415i | \(-0.724996\pi\) |
0.983257 | + | 0.182222i | \(0.0583291\pi\) | |||||||
\(632\) | 3083.71 | 0.194087 | ||||||||
\(633\) | 4889.71 | − | 8469.22i | 0.307028 | − | 0.531787i | ||||
\(634\) | 6467.88 | + | 11202.7i | 0.405161 | + | 0.701760i | ||||
\(635\) | −4997.78 | − | 8656.42i | −0.312332 | − | 0.540975i | ||||
\(636\) | 3950.17 | 0.246281 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 39391.9 | 2.44442 | ||||||||
\(639\) | −447.510 | − | 775.111i | −0.0277046 | − | 0.0479858i | ||||
\(640\) | −545.971 | − | 945.649i | −0.0337209 | − | 0.0584064i | ||||
\(641\) | −13442.1 | + | 23282.4i | −0.828286 | + | 1.43463i | 0.0710952 | + | 0.997470i | \(0.477351\pi\) |
−0.899382 | + | 0.437164i | \(0.855983\pi\) | |||||||
\(642\) | 2866.38 | 0.176210 | ||||||||
\(643\) | −2845.56 | + | 4928.66i | −0.174523 | + | 0.302282i | −0.939996 | − | 0.341186i | \(-0.889172\pi\) |
0.765473 | + | 0.643468i | \(0.222505\pi\) | |||||||
\(644\) | −1343.74 | + | 2327.42i | −0.0822216 | + | 0.142412i | ||||
\(645\) | −11146.0 | −0.680422 | ||||||||
\(646\) | −359.758 | + | 623.119i | −0.0219110 | + | 0.0379509i | ||||
\(647\) | −904.896 | − | 1567.33i | −0.0549847 | − | 0.0952364i | 0.837223 | − | 0.546862i | \(-0.184178\pi\) |
−0.892208 | + | 0.451625i | \(0.850844\pi\) | |||||||
\(648\) | −714.143 | − | 1236.93i | −0.0432935 | − | 0.0749865i | ||||
\(649\) | −15057.9 | −0.910745 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −1124.29 | −0.0676871 | ||||||||
\(652\) | −902.508 | − | 1563.19i | −0.0542100 | − | 0.0938945i | ||||
\(653\) | −4729.58 | − | 8191.88i | −0.283435 | − | 0.490923i | 0.688794 | − | 0.724957i | \(-0.258141\pi\) |
−0.972228 | + | 0.234034i | \(0.924807\pi\) | |||||||
\(654\) | 4879.42 | − | 8451.41i | 0.291744 | − | 0.505315i | ||||
\(655\) | 9627.94 | 0.574343 | ||||||||
\(656\) | −3463.21 | + | 5998.46i | −0.206121 | + | 0.357013i | ||||
\(657\) | −6007.66 | + | 10405.6i | −0.356744 | + | 0.617899i | ||||
\(658\) | 4945.59 | 0.293008 | ||||||||
\(659\) | −507.660 | + | 879.293i | −0.0300085 | + | 0.0519763i | −0.880640 | − | 0.473787i | \(-0.842887\pi\) |
0.850631 | + | 0.525763i | \(0.176220\pi\) | |||||||
\(660\) | −4087.65 | − | 7080.02i | −0.241078 | − | 0.417560i | ||||
\(661\) | −11824.2 | − | 20480.2i | −0.695778 | − | 1.20512i | −0.969918 | − | 0.243433i | \(-0.921727\pi\) |
0.274140 | − | 0.961690i | \(-0.411607\pi\) | |||||||
\(662\) | −7018.49 | −0.412056 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −2033.66 | −0.118857 | ||||||||
\(665\) | 239.632 | + | 415.055i | 0.0139737 | + | 0.0242032i | ||||
\(666\) | −1611.70 | − | 2791.55i | −0.0937720 | − | 0.162418i | ||||
\(667\) | 24092.3 | − | 41729.2i | 1.39859 | − | 2.42243i | ||||
\(668\) | −12813.4 | −0.742164 | ||||||||
\(669\) | 524.732 | − | 908.863i | 0.0303248 | − | 0.0525242i | ||||
\(670\) | 3718.13 | − | 6439.99i | 0.214394 | − | 0.371341i | ||||
\(671\) | −24894.9 | −1.43228 | ||||||||
\(672\) | −246.341 | + | 426.675i | −0.0141411 | + | 0.0244931i | ||||
\(673\) | −8873.48 | − | 15369.3i | −0.508243 | − | 0.880303i | −0.999954 | − | 0.00954455i | \(-0.996962\pi\) |
0.491711 | − | 0.870758i | \(-0.336372\pi\) | |||||||
\(674\) | −1834.82 | − | 3178.00i | −0.104858 | − | 0.181620i | ||||
\(675\) | −7764.85 | −0.442769 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 10754.2 | 0.610511 | 0.305256 | − | 0.952270i | \(-0.401258\pi\) | ||||
0.305256 | + | 0.952270i | \(0.401258\pi\) | |||||||
\(678\) | 2609.07 | + | 4519.04i | 0.147789 | + | 0.255977i | ||||
\(679\) | 2759.84 | + | 4780.19i | 0.155984 | + | 0.270172i | ||||
\(680\) | 917.978 | − | 1589.99i | 0.0517689 | − | 0.0896664i | ||||
\(681\) | 19061.9 | 1.07262 | ||||||||
\(682\) | 4773.71 | − | 8268.31i | 0.268028 | − | 0.464238i | ||||
\(683\) | 11990.9 | − | 20768.8i | 0.671768 | − | 1.16354i | −0.305635 | − | 0.952149i | \(-0.598869\pi\) |
0.977402 | − | 0.211387i | \(-0.0677980\pi\) | |||||||
\(684\) | −725.815 | −0.0405734 | ||||||||
\(685\) | 7455.63 | − | 12913.5i | 0.415862 | − | 0.720293i | ||||
\(686\) | −2807.77 | − | 4863.21i | −0.156270 | − | 0.270668i | ||||
\(687\) | −1631.71 | − | 2826.20i | −0.0906166 | − | 0.156953i | ||||
\(688\) | −5704.13 | −0.316087 | ||||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | −10000.1 | −0.551737 | ||||||||
\(691\) | −14500.7 | − | 25116.0i | −0.798312 | − | 1.38272i | −0.920715 | − | 0.390236i | \(-0.872393\pi\) |
0.122403 | − | 0.992480i | \(-0.460940\pi\) | |||||||
\(692\) | −3798.76 | − | 6579.65i | −0.208681 | − | 0.361446i | ||||
\(693\) | 1863.21 | − | 3227.17i | 0.102132 | − | 0.176898i | ||||
\(694\) | 14518.6 | 0.794119 | ||||||||
\(695\) | 7151.09 | − | 12386.1i | 0.390297 | − | 0.676014i | ||||
\(696\) | 4416.73 | − | 7650.00i | 0.240540 | − | 0.416627i | ||||
\(697\) | −11645.9 | −0.632882 | ||||||||
\(698\) | −1795.24 | + | 3109.44i | −0.0973505 | + | 0.168616i | ||||
\(699\) | 8709.78 | + | 15085.8i | 0.471293 | + | 0.816304i | ||||
\(700\) | 438.804 | + | 760.030i | 0.0236932 | + | 0.0410378i | ||||
\(701\) | −31031.5 | −1.67196 | −0.835979 | − | 0.548761i | \(-0.815100\pi\) | ||||
−0.835979 | + | 0.548761i | \(0.815100\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1588.45 | 0.0852199 | ||||||||
\(704\) | −2091.92 | − | 3623.31i | −0.111992 | − | 0.193976i | ||||
\(705\) | 9201.30 | + | 15937.1i | 0.491548 | + | 0.851386i | ||||
\(706\) | −4552.38 | + | 7884.94i | −0.242678 | + | 0.420331i | ||||
\(707\) | 6149.16 | 0.327105 | ||||||||
\(708\) | −1688.33 | + | 2924.27i | −0.0896206 | + | 0.155227i | ||||
\(709\) | 2191.29 | − | 3795.43i | 0.116073 | − | 0.201044i | −0.802135 | − | 0.597143i | \(-0.796303\pi\) |
0.918208 | + | 0.396098i | \(0.129636\pi\) | |||||||
\(710\) | −1125.42 | −0.0594877 | ||||||||
\(711\) | −2615.12 | + | 4529.52i | −0.137939 | + | 0.238917i | ||||
\(712\) | 1490.45 | + | 2581.54i | 0.0784508 | + | 0.135881i | ||||
\(713\) | −5839.27 | − | 10113.9i | −0.306707 | − | 0.531232i | ||||
\(714\) | −828.380 | −0.0434192 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 10603.6 | 0.553455 | ||||||||
\(717\) | 4201.08 | + | 7276.49i | 0.218818 | + | 0.379004i | ||||
\(718\) | 10165.4 | + | 17607.0i | 0.528369 | + | 0.915162i | ||||
\(719\) | 14382.3 | − | 24910.9i | 0.745994 | − | 1.29210i | −0.203735 | − | 0.979026i | \(-0.565308\pi\) |
0.949729 | − | 0.313073i | \(-0.101358\pi\) | |||||||
\(720\) | 1852.03 | 0.0958625 | ||||||||
\(721\) | −442.971 | + | 767.248i | −0.0228808 | + | 0.0396308i | ||||
\(722\) | −6680.16 | + | 11570.4i | −0.344335 | + | 0.596406i | ||||
\(723\) | 7238.89 | 0.372361 | ||||||||
\(724\) | 4579.88 | − | 7932.59i | 0.235097 | − | 0.407200i | ||||
\(725\) | −7867.46 | − | 13626.8i | −0.403021 | − | 0.698052i | ||||
\(726\) | −10784.2 | − | 18678.7i | −0.551291 | − | 0.954864i | ||||
\(727\) | 25408.5 | 1.29621 | 0.648107 | − | 0.761549i | \(-0.275561\pi\) | ||||
0.648107 | + | 0.761549i | \(0.275561\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 17134.5 | 0.870525 | ||||||||
\(730\) | 7554.16 | + | 13084.2i | 0.383003 | + | 0.663381i | ||||
\(731\) | −4795.37 | − | 8305.82i | −0.242631 | − | 0.420249i | ||||
\(732\) | −2791.28 | + | 4834.64i | −0.140941 | + | 0.244117i | ||||
\(733\) | −22341.8 | −1.12580 | −0.562902 | − | 0.826524i | \(-0.690315\pi\) | ||||
−0.562902 | + | 0.826524i | \(0.690315\pi\) | |||||||
\(734\) | −10401.6 | + | 18016.0i | −0.523063 | + | 0.905972i | ||||
\(735\) | 5085.94 | − | 8809.10i | 0.255235 | − | 0.442080i | ||||
\(736\) | −5117.73 | −0.256307 | ||||||||
\(737\) | 14246.3 | − | 24675.2i | 0.712032 | − | 1.23328i | ||||
\(738\) | −5873.91 | − | 10173.9i | −0.292983 | − | 0.507461i | ||||
\(739\) | 4105.45 | + | 7110.84i | 0.204359 | + | 0.353960i | 0.949928 | − | 0.312468i | \(-0.101156\pi\) |
−0.745569 | + | 0.666428i | \(0.767822\pi\) | |||||||
\(740\) | −4053.18 | −0.201349 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 2264.04 | 0.112016 | ||||||||
\(743\) | 16376.1 | + | 28364.3i | 0.808590 | + | 1.40052i | 0.913841 | + | 0.406073i | \(0.133102\pi\) |
−0.105251 | + | 0.994446i | \(0.533565\pi\) | |||||||
\(744\) | −1070.48 | − | 1854.13i | −0.0527498 | − | 0.0913653i | ||||
\(745\) | 3825.90 | − | 6626.65i | 0.188148 | − | 0.325881i | ||||
\(746\) | 15906.8 | 0.780684 | ||||||||
\(747\) | 1724.63 | − | 2987.14i | 0.0844724 | − | 0.146310i | ||||
\(748\) | 3517.29 | − | 6092.13i | 0.171932 | − | 0.297794i | ||||
\(749\) | 1642.87 | 0.0801455 | ||||||||
\(750\) | −5540.83 | + | 9597.00i | −0.269763 | + | 0.467244i | ||||
\(751\) | −4453.70 | − | 7714.04i | −0.216402 | − | 0.374819i | 0.737303 | − | 0.675562i | \(-0.236099\pi\) |
−0.953705 | + | 0.300742i | \(0.902766\pi\) | |||||||
\(752\) | 4708.91 | + | 8156.08i | 0.228346 | + | 0.395507i | ||||
\(753\) | 27361.0 | 1.32416 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −17729.4 | −0.854620 | ||||||||
\(756\) | −1249.22 | − | 2163.71i | −0.0600973 | − | 0.104092i | ||||
\(757\) | 5372.32 | + | 9305.13i | 0.257940 | + | 0.446765i | 0.965690 | − | 0.259698i | \(-0.0836231\pi\) |
−0.707750 | + | 0.706463i | \(0.750290\pi\) | |||||||
\(758\) | 9014.81 | − | 15614.1i | 0.431969 | − | 0.748193i | ||||
\(759\) | −38316.2 | −1.83240 | ||||||||
\(760\) | −456.328 | + | 790.383i | −0.0217799 | + | 0.0377240i | ||||
\(761\) | 8498.89 | − | 14720.5i | 0.404841 | − | 0.701206i | −0.589462 | − | 0.807796i | \(-0.700660\pi\) |
0.994303 | + | 0.106590i | \(0.0339934\pi\) | |||||||
\(762\) | −8588.30 | −0.408296 | ||||||||
\(763\) | 2796.64 | − | 4843.93i | 0.132694 | − | 0.229832i | ||||
\(764\) | 676.627 | + | 1171.95i | 0.0320412 | + | 0.0554970i | ||||
\(765\) | 1556.97 | + | 2696.75i | 0.0735849 | + | 0.127453i | ||||
\(766\) | 4992.48 | 0.235490 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | −938.208 | −0.0440816 | ||||||||
\(769\) | −9516.21 | − | 16482.6i | −0.446246 | − | 0.772921i | 0.551892 | − | 0.833916i | \(-0.313906\pi\) |
−0.998138 | + | 0.0609948i | \(0.980573\pi\) | |||||||
\(770\) | −2342.84 | − | 4057.92i | −0.109649 | − | 0.189918i | ||||
\(771\) |