Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [150,3,Mod(11,150)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(150, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 8]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("150.11");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 150 = 2 \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 150.j (of order \(10\), degree \(4\), 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: | \(4.08720396540\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 11.11 | ||
Character | \(\chi\) | \(=\) | 150.11 |
Dual form | 150.3.j.a.41.11 |
$q$-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 \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{4}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.831254 | + | 1.14412i | 0.415627 | + | 0.572061i | ||||
\(3\) | −2.90622 | − | 0.744235i | −0.968740 | − | 0.248078i | ||||
\(4\) | −0.618034 | + | 1.90211i | −0.154508 | + | 0.475528i | ||||
\(5\) | 4.36319 | − | 2.44184i | 0.872638 | − | 0.488367i | ||||
\(6\) | −1.56431 | − | 3.94372i | −0.260718 | − | 0.657287i | ||||
\(7\) | 4.66363 | 0.666233 | 0.333116 | − | 0.942886i | \(-0.391900\pi\) | ||||
0.333116 | + | 0.942886i | \(0.391900\pi\) | |||||||
\(8\) | −2.68999 | + | 0.874032i | −0.336249 | + | 0.109254i | ||||
\(9\) | 7.89223 | + | 4.32582i | 0.876914 | + | 0.480647i | ||||
\(10\) | 6.42068 | + | 2.96224i | 0.642068 | + | 0.296224i | ||||
\(11\) | −2.09360 | − | 2.88160i | −0.190328 | − | 0.261964i | 0.703180 | − | 0.711012i | \(-0.251763\pi\) |
−0.893507 | + | 0.449049i | \(0.851763\pi\) | |||||||
\(12\) | 3.21176 | − | 5.06800i | 0.267647 | − | 0.422333i | ||||
\(13\) | 18.2244 | + | 13.2408i | 1.40188 | + | 1.01852i | 0.994441 | + | 0.105291i | \(0.0335775\pi\) |
0.407437 | + | 0.913233i | \(0.366423\pi\) | |||||||
\(14\) | 3.87666 | + | 5.33576i | 0.276904 | + | 0.381126i | ||||
\(15\) | −14.4977 | + | 3.84927i | −0.966513 | + | 0.256618i | ||||
\(16\) | −3.23607 | − | 2.35114i | −0.202254 | − | 0.146946i | ||||
\(17\) | 11.5884 | − | 3.76531i | 0.681672 | − | 0.221489i | 0.0523448 | − | 0.998629i | \(-0.483331\pi\) |
0.629327 | + | 0.777140i | \(0.283331\pi\) | |||||||
\(18\) | 1.61117 | + | 12.6255i | 0.0895096 | + | 0.701419i | ||||
\(19\) | 3.82708 | + | 11.7786i | 0.201425 | + | 0.619924i | 0.999841 | + | 0.0178173i | \(0.00567174\pi\) |
−0.798416 | + | 0.602106i | \(0.794328\pi\) | |||||||
\(20\) | 1.94805 | + | 9.80842i | 0.0974023 | + | 0.490421i | ||||
\(21\) | −13.5535 | − | 3.47084i | −0.645406 | − | 0.165278i | ||||
\(22\) | 1.55659 | − | 4.79068i | 0.0707539 | − | 0.217758i | ||||
\(23\) | 7.54792 | + | 10.3888i | 0.328170 | + | 0.451688i | 0.940940 | − | 0.338574i | \(-0.109945\pi\) |
−0.612769 | + | 0.790262i | \(0.709945\pi\) | |||||||
\(24\) | 8.46820 | − | 0.538141i | 0.352842 | − | 0.0224225i | ||||
\(25\) | 13.0749 | − | 21.3084i | 0.522995 | − | 0.852336i | ||||
\(26\) | 31.8575i | 1.22529i | ||||||||
\(27\) | −19.7171 | − | 18.4455i | −0.730264 | − | 0.683165i | ||||
\(28\) | −2.88228 | + | 8.87075i | −0.102939 | + | 0.316812i | ||||
\(29\) | −26.8199 | − | 8.71430i | −0.924823 | − | 0.300493i | −0.192379 | − | 0.981321i | \(-0.561620\pi\) |
−0.732444 | + | 0.680828i | \(0.761620\pi\) | |||||||
\(30\) | −16.4553 | − | 13.3874i | −0.548510 | − | 0.446247i | ||||
\(31\) | −16.6071 | − | 51.1114i | −0.535713 | − | 1.64876i | −0.742103 | − | 0.670285i | \(-0.766172\pi\) |
0.206390 | − | 0.978470i | \(-0.433828\pi\) | |||||||
\(32\) | − | 5.65685i | − | 0.176777i | ||||||
\(33\) | 3.93989 | + | 9.93269i | 0.119390 | + | 0.300991i | ||||
\(34\) | 13.9409 | + | 10.1287i | 0.410026 | + | 0.297902i | ||||
\(35\) | 20.3483 | − | 11.3878i | 0.581380 | − | 0.325366i | ||||
\(36\) | −13.1059 | + | 12.3384i | −0.364052 | + | 0.342733i | ||||
\(37\) | −12.3397 | − | 8.96535i | −0.333506 | − | 0.242307i | 0.408411 | − | 0.912798i | \(-0.366083\pi\) |
−0.741917 | + | 0.670492i | \(0.766083\pi\) | |||||||
\(38\) | −10.2948 | + | 14.1696i | −0.270917 | + | 0.372885i | ||||
\(39\) | −43.1099 | − | 52.0440i | −1.10538 | − | 1.33446i | ||||
\(40\) | −9.60272 | + | 10.3821i | −0.240068 | + | 0.259552i | ||||
\(41\) | −14.9764 | + | 20.6133i | −0.365279 | + | 0.502763i | −0.951610 | − | 0.307308i | \(-0.900572\pi\) |
0.586331 | + | 0.810071i | \(0.300572\pi\) | |||||||
\(42\) | −7.29536 | − | 18.3920i | −0.173699 | − | 0.437906i | ||||
\(43\) | −31.9780 | −0.743675 | −0.371837 | − | 0.928298i | \(-0.621272\pi\) | ||||
−0.371837 | + | 0.928298i | \(0.621272\pi\) | |||||||
\(44\) | 6.77504 | − | 2.20135i | 0.153978 | − | 0.0500306i | ||||
\(45\) | 44.9982 | − | 0.397129i | 0.999961 | − | 0.00882508i | ||||
\(46\) | −5.61185 | + | 17.2715i | −0.121997 | + | 0.375467i | ||||
\(47\) | 18.9392 | + | 6.15370i | 0.402961 | + | 0.130930i | 0.503483 | − | 0.864005i | \(-0.332052\pi\) |
−0.100523 | + | 0.994935i | \(0.532052\pi\) | |||||||
\(48\) | 7.65492 | + | 9.24133i | 0.159478 | + | 0.192528i | ||||
\(49\) | −27.2506 | −0.556134 | ||||||||
\(50\) | 35.2480 | − | 2.75341i | 0.704959 | − | 0.0550682i | ||||
\(51\) | −36.4808 | + | 2.31830i | −0.715310 | + | 0.0454568i | ||||
\(52\) | −36.4488 | + | 26.4816i | −0.700939 | + | 0.509262i | ||||
\(53\) | 82.7402 | + | 26.8839i | 1.56114 | + | 0.507244i | 0.957111 | − | 0.289722i | \(-0.0935627\pi\) |
0.604025 | + | 0.796965i | \(0.293563\pi\) | |||||||
\(54\) | 4.71394 | − | 37.8917i | 0.0872953 | − | 0.701698i | ||||
\(55\) | −16.1712 | − | 7.46073i | −0.294022 | − | 0.135650i | ||||
\(56\) | −12.5451 | + | 4.07616i | −0.224020 | + | 0.0727886i | ||||
\(57\) | −2.35633 | − | 37.0793i | −0.0413392 | − | 0.650514i | ||||
\(58\) | −12.3239 | − | 37.9290i | −0.212481 | − | 0.653949i | ||||
\(59\) | −34.5936 | + | 47.6140i | −0.586333 | + | 0.807017i | −0.994372 | − | 0.105947i | \(-0.966213\pi\) |
0.408039 | + | 0.912964i | \(0.366213\pi\) | |||||||
\(60\) | 1.63832 | − | 29.9552i | 0.0273054 | − | 0.499254i | ||||
\(61\) | 59.7663 | − | 43.4227i | 0.979775 | − | 0.711848i | 0.0221165 | − | 0.999755i | \(-0.492960\pi\) |
0.957658 | + | 0.287907i | \(0.0929595\pi\) | |||||||
\(62\) | 44.6730 | − | 61.4871i | 0.720532 | − | 0.991728i | ||||
\(63\) | 36.8064 | + | 20.1740i | 0.584229 | + | 0.320223i | ||||
\(64\) | 6.47214 | − | 4.70228i | 0.101127 | − | 0.0734732i | ||||
\(65\) | 111.849 | + | 13.2712i | 1.72075 | + | 0.204172i | ||||
\(66\) | −8.08918 | + | 12.7643i | −0.122563 | + | 0.193399i | ||||
\(67\) | 9.87401 | + | 30.3891i | 0.147373 | + | 0.453568i | 0.997309 | − | 0.0733189i | \(-0.0233591\pi\) |
−0.849935 | + | 0.526887i | \(0.823359\pi\) | |||||||
\(68\) | 24.3696i | 0.358376i | ||||||||
\(69\) | −14.2042 | − | 35.8096i | −0.205858 | − | 0.518980i | ||||
\(70\) | 29.9437 | + | 13.8148i | 0.427767 | + | 0.197354i | ||||
\(71\) | −106.852 | − | 34.7184i | −1.50496 | − | 0.488992i | −0.563502 | − | 0.826115i | \(-0.690546\pi\) |
−0.941461 | + | 0.337123i | \(0.890546\pi\) | |||||||
\(72\) | −25.0110 | − | 4.73838i | −0.347374 | − | 0.0658108i | ||||
\(73\) | −109.480 | + | 79.5417i | −1.49972 | + | 1.08961i | −0.529230 | + | 0.848478i | \(0.677519\pi\) |
−0.970492 | + | 0.241134i | \(0.922481\pi\) | |||||||
\(74\) | − | 21.5707i | − | 0.291495i | ||||||
\(75\) | −53.8569 | + | 52.1961i | −0.718092 | + | 0.695948i | ||||
\(76\) | −24.7694 | −0.325913 | ||||||||
\(77\) | −9.76379 | − | 13.4387i | −0.126802 | − | 0.174529i | ||||
\(78\) | 23.7094 | − | 92.5848i | 0.303967 | − | 1.18698i | ||||
\(79\) | 4.15564 | − | 12.7898i | 0.0526031 | − | 0.161896i | −0.921304 | − | 0.388843i | \(-0.872875\pi\) |
0.973907 | + | 0.226948i | \(0.0728747\pi\) | |||||||
\(80\) | −19.8607 | − | 2.35653i | −0.248259 | − | 0.0294567i | ||||
\(81\) | 43.5745 | + | 68.2808i | 0.537957 | + | 0.842972i | ||||
\(82\) | −36.0333 | −0.439431 | ||||||||
\(83\) | −83.2577 | + | 27.0521i | −1.00311 | + | 0.325929i | −0.764106 | − | 0.645091i | \(-0.776819\pi\) |
−0.238999 | + | 0.971020i | \(0.576819\pi\) | |||||||
\(84\) | 14.9785 | − | 23.6352i | 0.178315 | − | 0.281372i | ||||
\(85\) | 41.3683 | − | 44.7258i | 0.486685 | − | 0.526186i | ||||
\(86\) | −26.5818 | − | 36.5868i | −0.309091 | − | 0.425427i | ||||
\(87\) | 71.4589 | + | 45.2860i | 0.821367 | + | 0.520528i | ||||
\(88\) | 8.15039 | + | 5.92161i | 0.0926181 | + | 0.0672910i | ||||
\(89\) | −54.4702 | − | 74.9718i | −0.612025 | − | 0.842380i | 0.384717 | − | 0.923034i | \(-0.374299\pi\) |
−0.996742 | + | 0.0806546i | \(0.974299\pi\) | |||||||
\(90\) | 37.8593 | + | 51.1534i | 0.420659 | + | 0.568371i | ||||
\(91\) | 84.9919 | + | 61.7502i | 0.933977 | + | 0.678574i | ||||
\(92\) | −24.4256 | + | 7.93635i | −0.265495 | + | 0.0862647i | ||||
\(93\) | 10.2250 | + | 160.901i | 0.109946 | + | 1.73011i | ||||
\(94\) | 8.70265 | + | 26.7840i | 0.0925814 | + | 0.284936i | ||||
\(95\) | 45.4596 | + | 42.0470i | 0.478522 | + | 0.442600i | ||||
\(96\) | −4.21003 | + | 16.4401i | −0.0438545 | + | 0.171251i | ||||
\(97\) | 20.7609 | − | 63.8956i | 0.214030 | − | 0.658717i | −0.785191 | − | 0.619254i | \(-0.787435\pi\) |
0.999221 | − | 0.0394634i | \(-0.0125649\pi\) | |||||||
\(98\) | −22.6521 | − | 31.1780i | −0.231144 | − | 0.318143i | ||||
\(99\) | −4.05792 | − | 31.7988i | −0.0409890 | − | 0.321200i | ||||
\(100\) | 32.4502 | + | 38.0392i | 0.324502 | + | 0.380392i | ||||
\(101\) | 161.288i | 1.59691i | 0.602055 | + | 0.798454i | \(0.294349\pi\) | ||||
−0.602055 | + | 0.798454i | \(0.705651\pi\) | |||||||
\(102\) | −32.9772 | − | 39.8114i | −0.323306 | − | 0.390308i | ||||
\(103\) | 26.2153 | − | 80.6825i | 0.254518 | − | 0.783325i | −0.739406 | − | 0.673259i | \(-0.764894\pi\) |
0.993924 | − | 0.110066i | \(-0.0351062\pi\) | |||||||
\(104\) | −60.5965 | − | 19.6890i | −0.582659 | − | 0.189317i | ||||
\(105\) | −67.6118 | + | 17.9516i | −0.643922 | + | 0.170967i | ||||
\(106\) | 38.0196 | + | 117.012i | 0.358676 | + | 1.10389i | ||||
\(107\) | 23.5373i | 0.219975i | 0.993933 | + | 0.109987i | \(0.0350810\pi\) | ||||
−0.993933 | + | 0.109987i | \(0.964919\pi\) | |||||||
\(108\) | 47.2712 | − | 26.1043i | 0.437696 | − | 0.241706i | ||||
\(109\) | −57.1806 | − | 41.5441i | −0.524593 | − | 0.381139i | 0.293739 | − | 0.955886i | \(-0.405101\pi\) |
−0.818331 | + | 0.574747i | \(0.805101\pi\) | |||||||
\(110\) | −4.90637 | − | 24.7036i | −0.0446033 | − | 0.224578i | ||||
\(111\) | 29.1897 | + | 35.2389i | 0.262970 | + | 0.317468i | ||||
\(112\) | −15.0918 | − | 10.9648i | −0.134748 | − | 0.0979004i | ||||
\(113\) | 21.7772 | − | 29.9738i | 0.192719 | − | 0.265255i | −0.701712 | − | 0.712460i | \(-0.747581\pi\) |
0.894431 | + | 0.447206i | \(0.147581\pi\) | |||||||
\(114\) | 40.4646 | − | 33.5183i | 0.354952 | − | 0.294020i | ||||
\(115\) | 58.3008 | + | 26.8976i | 0.506963 | + | 0.233892i | ||||
\(116\) | 33.1512 | − | 45.6287i | 0.285786 | − | 0.393351i | ||||
\(117\) | 86.5539 | + | 183.335i | 0.739777 | + | 1.56697i | ||||
\(118\) | −83.2324 | −0.705359 | ||||||||
\(119\) | 54.0441 | − | 17.5600i | 0.454152 | − | 0.147563i | ||||
\(120\) | 35.6343 | − | 23.0260i | 0.296953 | − | 0.191883i | ||||
\(121\) | 33.4706 | − | 103.012i | 0.276617 | − | 0.851339i | ||||
\(122\) | 99.3619 | + | 32.2846i | 0.814442 | + | 0.264628i | ||||
\(123\) | 58.8659 | − | 48.7607i | 0.478585 | − | 0.396429i | ||||
\(124\) | 107.483 | 0.866802 | ||||||||
\(125\) | 5.01664 | − | 124.899i | 0.0401331 | − | 0.999194i | ||||
\(126\) | 7.51391 | + | 58.8808i | 0.0596342 | + | 0.467308i | ||||
\(127\) | 152.346 | − | 110.686i | 1.19958 | − | 0.871542i | 0.205332 | − | 0.978692i | \(-0.434173\pi\) |
0.994243 | + | 0.107150i | \(0.0341725\pi\) | |||||||
\(128\) | 10.7600 | + | 3.49613i | 0.0840623 | + | 0.0273135i | ||||
\(129\) | 92.9351 | + | 23.7992i | 0.720427 | + | 0.184490i | ||||
\(130\) | 77.7907 | + | 139.000i | 0.598390 | + | 1.06923i | ||||
\(131\) | −35.7337 | + | 11.6106i | −0.272777 | + | 0.0886305i | −0.442211 | − | 0.896911i | \(-0.645806\pi\) |
0.169435 | + | 0.985541i | \(0.445806\pi\) | |||||||
\(132\) | −21.3281 | + | 1.35537i | −0.161576 | + | 0.0102679i | ||||
\(133\) | 17.8481 | + | 54.9308i | 0.134196 | + | 0.413013i | ||||
\(134\) | −26.5610 | + | 36.5581i | −0.198217 | + | 0.272822i | ||||
\(135\) | −131.070 | − | 32.3351i | −0.970892 | − | 0.239520i | ||||
\(136\) | −27.8818 | + | 20.2573i | −0.205013 | + | 0.148951i | ||||
\(137\) | 98.3704 | − | 135.395i | 0.718032 | − | 0.988286i | −0.281555 | − | 0.959545i | \(-0.590850\pi\) |
0.999587 | − | 0.0287412i | \(-0.00914986\pi\) | |||||||
\(138\) | 29.1633 | − | 46.0182i | 0.211328 | − | 0.333465i | ||||
\(139\) | −189.477 | + | 137.663i | −1.36314 | + | 0.990381i | −0.364905 | + | 0.931045i | \(0.618898\pi\) |
−0.998238 | + | 0.0593363i | \(0.981102\pi\) | |||||||
\(140\) | 9.08496 | + | 45.7428i | 0.0648926 | + | 0.326734i | ||||
\(141\) | −50.4615 | − | 31.9792i | −0.357883 | − | 0.226803i | ||||
\(142\) | −49.0993 | − | 151.112i | −0.345770 | − | 1.06417i | ||||
\(143\) | − | 80.2365i | − | 0.561094i | ||||||
\(144\) | −15.3692 | − | 32.5544i | −0.106730 | − | 0.226072i | ||||
\(145\) | −138.299 | + | 27.4675i | −0.953787 | + | 0.189431i | ||||
\(146\) | −182.011 | − | 59.1389i | −1.24665 | − | 0.405061i | ||||
\(147\) | 79.1962 | + | 20.2808i | 0.538749 | + | 0.137965i | ||||
\(148\) | 24.6795 | − | 17.9307i | 0.166753 | − | 0.121153i | ||||
\(149\) | 177.561i | 1.19169i | 0.803101 | + | 0.595843i | \(0.203182\pi\) | ||||
−0.803101 | + | 0.595843i | \(0.796818\pi\) | |||||||
\(150\) | −104.488 | − | 18.2308i | −0.696583 | − | 0.121538i | ||||
\(151\) | 63.2956 | 0.419176 | 0.209588 | − | 0.977790i | \(-0.432788\pi\) | ||||
0.209588 | + | 0.977790i | \(0.432788\pi\) | |||||||
\(152\) | −20.5897 | − | 28.3392i | −0.135458 | − | 0.186442i | ||||
\(153\) | 107.747 | + | 20.4128i | 0.704226 | + | 0.133417i | ||||
\(154\) | 7.25934 | − | 22.3419i | 0.0471386 | − | 0.145078i | ||||
\(155\) | −197.266 | − | 182.457i | −1.27268 | − | 1.17714i | ||||
\(156\) | 125.637 | − | 49.8349i | 0.805365 | − | 0.319455i | ||||
\(157\) | −78.2396 | −0.498341 | −0.249171 | − | 0.968460i | \(-0.580158\pi\) | ||||
−0.249171 | + | 0.968460i | \(0.580158\pi\) | |||||||
\(158\) | 18.0874 | − | 5.87697i | 0.114477 | − | 0.0371960i | ||||
\(159\) | −220.453 | − | 139.709i | −1.38650 | − | 0.878671i | ||||
\(160\) | −13.8131 | − | 24.6819i | −0.0863319 | − | 0.154262i | ||||
\(161\) | 35.2007 | + | 48.4496i | 0.218638 | + | 0.300929i | ||||
\(162\) | −41.9001 | + | 106.613i | −0.258642 | + | 0.658106i | ||||
\(163\) | 118.920 | + | 86.4004i | 0.729570 | + | 0.530064i | 0.889428 | − | 0.457076i | \(-0.151103\pi\) |
−0.159857 | + | 0.987140i | \(0.551103\pi\) | |||||||
\(164\) | −29.9529 | − | 41.2266i | −0.182639 | − | 0.251381i | ||||
\(165\) | 41.4445 | + | 33.7177i | 0.251179 | + | 0.204350i | ||||
\(166\) | −100.159 | − | 72.7699i | −0.603369 | − | 0.438373i | ||||
\(167\) | −210.662 | + | 68.4483i | −1.26145 | + | 0.409870i | −0.862011 | − | 0.506890i | \(-0.830795\pi\) |
−0.399439 | + | 0.916760i | \(0.630795\pi\) | |||||||
\(168\) | 39.4925 | − | 2.50969i | 0.235075 | − | 0.0149386i | ||||
\(169\) | 104.586 | + | 321.884i | 0.618855 | + | 1.90464i | ||||
\(170\) | 85.5593 | + | 10.1519i | 0.503290 | + | 0.0597170i | ||||
\(171\) | −20.7477 | + | 109.514i | −0.121332 | + | 0.640435i | ||||
\(172\) | 19.7635 | − | 60.8258i | 0.114904 | − | 0.353638i | ||||
\(173\) | −103.751 | − | 142.801i | −0.599716 | − | 0.825438i | 0.395966 | − | 0.918265i | \(-0.370410\pi\) |
−0.995682 | + | 0.0928267i | \(0.970410\pi\) | |||||||
\(174\) | 7.58781 | + | 119.402i | 0.0436081 | + | 0.686218i | ||||
\(175\) | 60.9764 | − | 99.3744i | 0.348436 | − | 0.567854i | ||||
\(176\) | 14.2474i | 0.0809512i | ||||||||
\(177\) | 135.973 | − | 112.631i | 0.768207 | − | 0.636334i | ||||
\(178\) | 40.4984 | − | 124.641i | 0.227519 | − | 0.700231i | ||||
\(179\) | 27.3759 | + | 8.89497i | 0.152938 | + | 0.0496926i | 0.384486 | − | 0.923131i | \(-0.374379\pi\) |
−0.231547 | + | 0.972824i | \(0.574379\pi\) | |||||||
\(180\) | −27.0551 | + | 85.8372i | −0.150306 | + | 0.476873i | ||||
\(181\) | −103.786 | − | 319.421i | −0.573404 | − | 1.76476i | −0.641550 | − | 0.767081i | \(-0.721708\pi\) |
0.0681457 | − | 0.997675i | \(-0.478292\pi\) | |||||||
\(182\) | 148.571i | 0.816326i | ||||||||
\(183\) | −206.011 | + | 81.7158i | −1.12574 | + | 0.446535i | ||||
\(184\) | −29.3840 | − | 21.3487i | −0.159696 | − | 0.116026i | ||||
\(185\) | −75.7325 | − | 8.98591i | −0.409365 | − | 0.0485725i | ||||
\(186\) | −175.590 | + | 145.448i | −0.944035 | + | 0.781978i | ||||
\(187\) | −35.1117 | − | 25.5101i | −0.187763 | − | 0.136418i | ||||
\(188\) | −23.4101 | + | 32.2212i | −0.124522 | + | 0.171389i | ||||
\(189\) | −91.9533 | − | 86.0228i | −0.486525 | − | 0.455147i | ||||
\(190\) | −10.3184 | + | 86.9631i | −0.0543076 | + | 0.457700i | ||||
\(191\) | 204.306 | − | 281.203i | 1.06966 | − | 1.47227i | 0.199248 | − | 0.979949i | \(-0.436150\pi\) |
0.870416 | − | 0.492317i | \(-0.163850\pi\) | |||||||
\(192\) | −22.3091 | + | 8.84907i | −0.116193 | + | 0.0460889i | ||||
\(193\) | −281.011 | −1.45601 | −0.728007 | − | 0.685569i | \(-0.759553\pi\) | ||||
−0.728007 | + | 0.685569i | \(0.759553\pi\) | |||||||
\(194\) | 90.3620 | − | 29.3604i | 0.465784 | − | 0.151342i | ||||
\(195\) | −315.180 | − | 121.811i | −1.61631 | − | 0.624670i | ||||
\(196\) | 16.8418 | − | 51.8337i | 0.0859275 | − | 0.264458i | ||||
\(197\) | −73.9465 | − | 24.0267i | −0.375363 | − | 0.121963i | 0.115259 | − | 0.993336i | \(-0.463230\pi\) |
−0.490622 | + | 0.871373i | \(0.663230\pi\) | |||||||
\(198\) | 33.0086 | − | 31.0756i | 0.166710 | − | 0.156948i | ||||
\(199\) | 136.028 | 0.683558 | 0.341779 | − | 0.939780i | \(-0.388971\pi\) | ||||
0.341779 | + | 0.939780i | \(0.388971\pi\) | |||||||
\(200\) | −16.5471 | + | 68.7473i | −0.0827357 | + | 0.343737i | ||||
\(201\) | −6.07942 | − | 95.6659i | −0.0302459 | − | 0.475950i | ||||
\(202\) | −184.533 | + | 134.071i | −0.913530 | + | 0.663718i | ||||
\(203\) | −125.078 | − | 40.6403i | −0.616147 | − | 0.200198i | ||||
\(204\) | 18.1367 | − | 70.8234i | 0.0889054 | − | 0.347173i | ||||
\(205\) | −15.0108 | + | 126.510i | −0.0732233 | + | 0.617120i | ||||
\(206\) | 114.102 | − | 37.0741i | 0.553895 | − | 0.179971i | ||||
\(207\) | 14.6297 | + | 114.642i | 0.0706749 | + | 0.553825i | ||||
\(208\) | −27.8444 | − | 85.6964i | −0.133867 | − | 0.412002i | ||||
\(209\) | 25.9287 | − | 35.6877i | 0.124061 | − | 0.170755i | ||||
\(210\) | −76.7414 | − | 62.4340i | −0.365435 | − | 0.297305i | ||||
\(211\) | 129.439 | − | 94.0430i | 0.613456 | − | 0.445702i | −0.237174 | − | 0.971467i | \(-0.576221\pi\) |
0.850629 | + | 0.525766i | \(0.176221\pi\) | |||||||
\(212\) | −102.273 | + | 140.766i | −0.482418 | + | 0.663991i | ||||
\(213\) | 284.698 | + | 180.423i | 1.33661 | + | 0.847055i | ||||
\(214\) | −26.9295 | + | 19.5655i | −0.125839 | + | 0.0914274i | ||||
\(215\) | −139.526 | + | 78.0850i | −0.648959 | + | 0.363186i | ||||
\(216\) | 69.1609 | + | 32.3848i | 0.320189 | + | 0.149930i | ||||
\(217\) | −77.4494 | − | 238.365i | −0.356909 | − | 1.09845i | ||||
\(218\) | − | 99.9554i | − | 0.458511i | ||||||
\(219\) | 377.370 | − | 149.687i | 1.72315 | − | 0.683502i | ||||
\(220\) | 24.1855 | − | 26.1484i | 0.109934 | − | 0.118857i | ||||
\(221\) | 261.048 | + | 84.8197i | 1.18121 | + | 0.383799i | ||||
\(222\) | −16.0536 | + | 62.6891i | −0.0723137 | + | 0.282383i | ||||
\(223\) | −148.135 | + | 107.626i | −0.664281 | + | 0.482629i | −0.868106 | − | 0.496379i | \(-0.834663\pi\) |
0.203825 | + | 0.979007i | \(0.434663\pi\) | |||||||
\(224\) | − | 26.3815i | − | 0.117774i | ||||||
\(225\) | 195.366 | − | 111.611i | 0.868294 | − | 0.496049i | ||||
\(226\) | 52.3961 | 0.231841 | ||||||||
\(227\) | 42.7138 | + | 58.7905i | 0.188167 | + | 0.258989i | 0.892669 | − | 0.450712i | \(-0.148830\pi\) |
−0.704503 | + | 0.709701i | \(0.748830\pi\) | |||||||
\(228\) | 71.9853 | + | 18.4343i | 0.315725 | + | 0.0808520i | ||||
\(229\) | −13.8705 | + | 42.6891i | −0.0605700 | + | 0.186415i | −0.976763 | − | 0.214322i | \(-0.931246\pi\) |
0.916193 | + | 0.400737i | \(0.131246\pi\) | |||||||
\(230\) | 17.6886 | + | 89.0620i | 0.0769068 | + | 0.387226i | ||||
\(231\) | 18.3742 | + | 46.3224i | 0.0795418 | + | 0.200530i | ||||
\(232\) | 79.7619 | 0.343801 | ||||||||
\(233\) | 147.069 | − | 47.7856i | 0.631197 | − | 0.205088i | 0.0240918 | − | 0.999710i | \(-0.492331\pi\) |
0.607105 | + | 0.794621i | \(0.292331\pi\) | |||||||
\(234\) | −137.810 | + | 251.426i | −0.588930 | + | 1.07447i | ||||
\(235\) | 97.6615 | − | 19.3965i | 0.415581 | − | 0.0825383i | ||||
\(236\) | −69.1872 | − | 95.2281i | −0.293166 | − | 0.403509i | ||||
\(237\) | −21.5958 | + | 34.0771i | −0.0911215 | + | 0.143785i | ||||
\(238\) | 65.0152 | + | 47.2363i | 0.273173 | + | 0.198472i | ||||
\(239\) | 147.954 | + | 203.641i | 0.619053 | + | 0.852053i | 0.997284 | − | 0.0736580i | \(-0.0234673\pi\) |
−0.378230 | + | 0.925711i | \(0.623467\pi\) | |||||||
\(240\) | 55.9657 | + | 21.6296i | 0.233190 | + | 0.0901234i | ||||
\(241\) | 27.3940 | + | 19.9029i | 0.113668 | + | 0.0825846i | 0.643167 | − | 0.765726i | \(-0.277620\pi\) |
−0.529499 | + | 0.848311i | \(0.677620\pi\) | |||||||
\(242\) | 145.681 | − | 47.3346i | 0.601987 | − | 0.195598i | ||||
\(243\) | −75.8202 | − | 230.869i | −0.312017 | − | 0.950076i | ||||
\(244\) | 45.6574 | + | 140.519i | 0.187120 | + | 0.575897i | ||||
\(245\) | −118.899 | + | 66.5414i | −0.485304 | + | 0.271598i | ||||
\(246\) | 104.721 | + | 26.8173i | 0.425694 | + | 0.109013i | ||||
\(247\) | −86.2113 | + | 265.331i | −0.349034 | + | 1.07421i | ||||
\(248\) | 89.3460 | + | 122.974i | 0.360266 | + | 0.495864i | ||||
\(249\) | 262.098 | − | 16.6559i | 1.05260 | − | 0.0668913i | ||||
\(250\) | 147.070 | − | 98.0834i | 0.588281 | − | 0.392333i | ||||
\(251\) | − | 268.503i | − | 1.06973i | −0.844937 | − | 0.534866i | \(-0.820362\pi\) | ||
0.844937 | − | 0.534866i | \(-0.179638\pi\) | |||||||
\(252\) | −61.1209 | + | 57.5417i | −0.242543 | + | 0.228340i | ||||
\(253\) | 14.1341 | − | 43.5001i | 0.0558658 | − | 0.171937i | ||||
\(254\) | 253.276 | + | 82.2945i | 0.997151 | + | 0.323994i | ||||
\(255\) | −153.512 | + | 99.1952i | −0.602007 | + | 0.389001i | ||||
\(256\) | 4.94427 | + | 15.2169i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | 273.017i | 1.06232i | 0.847271 | + | 0.531161i | \(0.178244\pi\) | ||||
−0.847271 | + | 0.531161i | \(0.821756\pi\) | |||||||
\(258\) | 50.0235 | + | 126.112i | 0.193890 | + | 0.488807i | ||||
\(259\) | −57.5480 | − | 41.8110i | −0.222193 | − | 0.161433i | ||||
\(260\) | −94.3695 | + | 204.547i | −0.362960 | + | 0.786717i | ||||
\(261\) | −173.972 | − | 184.793i | −0.666559 | − | 0.708020i | ||||
\(262\) | −42.9877 | − | 31.2324i | −0.164075 | − | 0.119208i | ||||
\(263\) | 196.807 | − | 270.881i | 0.748315 | − | 1.02997i | −0.249782 | − | 0.968302i | \(-0.580359\pi\) |
0.998097 | − | 0.0616647i | \(-0.0196409\pi\) | |||||||
\(264\) | −19.2798 | − | 23.2753i | −0.0730294 | − | 0.0881640i | ||||
\(265\) | 426.657 | − | 84.7382i | 1.61003 | − | 0.319767i | ||||
\(266\) | −48.0113 | + | 66.0818i | −0.180493 | + | 0.248428i | ||||
\(267\) | 102.506 | + | 258.423i | 0.383917 | + | 0.967877i | ||||
\(268\) | −63.9059 | −0.238455 | ||||||||
\(269\) | −101.592 | + | 33.0091i | −0.377664 | + | 0.122710i | −0.491697 | − | 0.870767i | \(-0.663623\pi\) |
0.114033 | + | 0.993477i | \(0.463623\pi\) | |||||||
\(270\) | −71.9574 | − | 176.839i | −0.266509 | − | 0.654960i | ||||
\(271\) | −40.2056 | + | 123.740i | −0.148360 | + | 0.456606i | −0.997428 | − | 0.0716785i | \(-0.977164\pi\) |
0.849068 | + | 0.528284i | \(0.177164\pi\) | |||||||
\(272\) | −46.3537 | − | 15.0612i | −0.170418 | − | 0.0553722i | ||||
\(273\) | −201.048 | − | 242.714i | −0.736441 | − | 0.889061i | ||||
\(274\) | 236.680 | 0.863794 | ||||||||
\(275\) | −88.7759 | + | 6.93477i | −0.322821 | + | 0.0252173i | ||||
\(276\) | 76.8926 | − | 4.88641i | 0.278596 | − | 0.0177044i | ||||
\(277\) | −252.767 | + | 183.646i | −0.912518 | + | 0.662983i | −0.941650 | − | 0.336593i | \(-0.890725\pi\) |
0.0291326 | + | 0.999576i | \(0.490725\pi\) | |||||||
\(278\) | −315.007 | − | 102.352i | −1.13312 | − | 0.368172i | ||||
\(279\) | 90.0318 | − | 475.222i | 0.322695 | − | 1.70331i | ||||
\(280\) | −44.7835 | + | 48.4182i | −0.159941 | + | 0.172922i | ||||
\(281\) | 80.2975 | − | 26.0902i | 0.285756 | − | 0.0928478i | −0.162632 | − | 0.986687i | \(-0.551998\pi\) |
0.448388 | + | 0.893839i | \(0.351998\pi\) | |||||||
\(282\) | −5.35822 | − | 84.3170i | −0.0190008 | − | 0.298997i | ||||
\(283\) | 69.7774 | + | 214.753i | 0.246563 | + | 0.758844i | 0.995375 | + | 0.0960613i | \(0.0306245\pi\) |
−0.748812 | + | 0.662782i | \(0.769376\pi\) | |||||||
\(284\) | 132.077 | − | 181.788i | 0.465059 | − | 0.640099i | ||||
\(285\) | −100.823 | − | 156.030i | −0.353764 | − | 0.547475i | ||||
\(286\) | 91.8004 | − | 66.6969i | 0.320980 | − | 0.233206i | ||||
\(287\) | −69.8445 | + | 96.1327i | −0.243361 | + | 0.334957i | ||||
\(288\) | 24.4705 | − | 44.6452i | 0.0849672 | − | 0.155018i | ||||
\(289\) | −113.692 | + | 82.6020i | −0.393397 | + | 0.285820i | ||||
\(290\) | −146.388 | − | 135.399i | −0.504786 | − | 0.466892i | ||||
\(291\) | −107.889 | + | 170.244i | −0.370753 | + | 0.585030i | ||||
\(292\) | −83.6351 | − | 257.402i | −0.286421 | − | 0.881515i | ||||
\(293\) | 177.444i | 0.605610i | 0.953053 | + | 0.302805i | \(0.0979231\pi\) | ||||
−0.953053 | + | 0.302805i | \(0.902077\pi\) | |||||||
\(294\) | 42.6284 | + | 107.469i | 0.144994 | + | 0.365540i | ||||
\(295\) | −34.6730 | + | 292.221i | −0.117535 | + | 0.990580i | ||||
\(296\) | 41.0298 | + | 13.3314i | 0.138614 | + | 0.0450385i | ||||
\(297\) | −11.8726 | + | 95.4343i | −0.0399750 | + | 0.321328i | ||||
\(298\) | −203.152 | + | 147.599i | −0.681718 | + | 0.495297i | ||||
\(299\) | 289.271i | 0.967461i | ||||||||
\(300\) | −65.9974 | − | 134.701i | −0.219991 | − | 0.449003i | ||||
\(301\) | −149.134 | −0.495460 | ||||||||
\(302\) | 52.6147 | + | 72.4180i | 0.174221 | + | 0.239795i | ||||
\(303\) | 120.036 | − | 468.738i | 0.396159 | − | 1.54699i | ||||
\(304\) | 15.3083 | − | 47.1142i | 0.0503564 | − | 0.154981i | ||||
\(305\) | 154.740 | − | 335.401i | 0.507346 | − | 1.09968i | ||||
\(306\) | 66.2100 | + | 140.244i | 0.216372 | + | 0.458312i | ||||
\(307\) | 244.240 | 0.795571 | 0.397786 | − | 0.917478i | \(-0.369779\pi\) | ||||
0.397786 | + | 0.917478i | \(0.369779\pi\) | |||||||
\(308\) | 31.5963 | − | 10.2663i | 0.102585 | − | 0.0333320i | ||||
\(309\) | −136.234 | + | 214.971i | −0.440888 | + | 0.695698i | ||||
\(310\) | 44.7755 | − | 377.364i | 0.144437 | − | 1.21730i | ||||
\(311\) | 297.138 | + | 408.975i | 0.955427 | + | 1.31503i | 0.949074 | + | 0.315053i | \(0.102022\pi\) |
0.00635277 | + | 0.999980i | \(0.497978\pi\) | |||||||
\(312\) | 161.453 | + | 102.319i | 0.517479 | + | 0.327944i | ||||
\(313\) | 159.930 | + | 116.196i | 0.510960 | + | 0.371234i | 0.813188 | − | 0.582002i | \(-0.197730\pi\) |
−0.302228 | + | 0.953236i | \(0.597730\pi\) | |||||||
\(314\) | −65.0370 | − | 89.5157i | −0.207124 | − | 0.285082i | ||||
\(315\) | 209.855 | − | 1.85206i | 0.666207 | − | 0.00587955i | ||||
\(316\) | 21.7592 | + | 15.8090i | 0.0688583 | + | 0.0500285i | ||||
\(317\) | −405.215 | + | 131.662i | −1.27828 | + | 0.415339i | −0.867975 | − | 0.496608i | \(-0.834579\pi\) |
−0.410307 | + | 0.911947i | \(0.634579\pi\) | |||||||
\(318\) | −23.4086 | − | 368.359i | −0.0736121 | − | 1.15836i | ||||
\(319\) | 31.0391 | + | 95.5284i | 0.0973011 | + | 0.299462i | ||||
\(320\) | 16.7570 | − | 36.3208i | 0.0523655 | − | 0.113503i | ||||
\(321\) | 17.5173 | − | 68.4045i | 0.0545710 | − | 0.213098i | ||||
\(322\) | −26.1716 | + | 80.5478i | −0.0812782 | + | 0.250148i | ||||
\(323\) | 88.6997 | + | 122.085i | 0.274612 | + | 0.377971i | ||||
\(324\) | −156.808 | + | 40.6838i | −0.483976 | + | 0.125567i | ||||
\(325\) | 520.423 | − | 215.211i | 1.60130 | − | 0.662188i | ||||
\(326\) | 207.880i | 0.637668i | ||||||||
\(327\) | 135.261 | + | 163.292i | 0.413642 | + | 0.499365i | ||||
\(328\) | 22.2698 | − | 68.5395i | 0.0678958 | − | 0.208962i | ||||
\(329\) | 88.3251 | + | 28.6986i | 0.268465 | + | 0.0872297i | ||||
\(330\) | −4.12629 | + | 75.4455i | −0.0125039 | + | 0.228623i | ||||
\(331\) | 96.7776 | + | 297.851i | 0.292379 | + | 0.899851i | 0.984089 | + | 0.177676i | \(0.0568578\pi\) |
−0.691710 | + | 0.722176i | \(0.743142\pi\) | |||||||
\(332\) | − | 175.085i | − | 0.527364i | ||||||
\(333\) | −58.6055 | − | 124.136i | −0.175993 | − | 0.372781i | ||||
\(334\) | −253.427 | − | 184.125i | −0.758763 | − | 0.551274i | ||||
\(335\) | 117.287 | + | 108.483i | 0.350111 | + | 0.323829i | ||||
\(336\) | 35.6997 | + | 43.0981i | 0.106249 | + | 0.128268i | ||||
\(337\) | −344.340 | − | 250.178i | −1.02178 | − | 0.742367i | −0.0551333 | − | 0.998479i | \(-0.517558\pi\) |
−0.966647 | + | 0.256112i | \(0.917558\pi\) | |||||||
\(338\) | −281.337 | + | 387.227i | −0.832358 | + | 1.14564i | ||||
\(339\) | −85.5970 | + | 70.9031i | −0.252499 | + | 0.209154i | ||||
\(340\) | 59.5065 | + | 106.329i | 0.175019 | + | 0.312733i | ||||
\(341\) | −112.514 | + | 154.862i | −0.329953 | + | 0.454141i | ||||
\(342\) | −142.544 | + | 67.2963i | −0.416797 | + | 0.196773i | ||||
\(343\) | −355.604 | −1.03675 | ||||||||
\(344\) | 86.0206 | − | 27.9498i | 0.250060 | − | 0.0812494i | ||||
\(345\) | −149.417 | − | 121.560i | −0.433092 | − | 0.352348i | ||||
\(346\) | 77.1384 | − | 237.407i | 0.222943 | − | 0.686149i | ||||
\(347\) | 306.116 | + | 99.4631i | 0.882178 | + | 0.286637i | 0.714861 | − | 0.699266i | \(-0.246490\pi\) |
0.167317 | + | 0.985903i | \(0.446490\pi\) | |||||||
\(348\) | −130.303 | + | 107.935i | −0.374434 | + | 0.310157i | ||||
\(349\) | −5.04126 | −0.0144449 | −0.00722244 | − | 0.999974i | \(-0.502299\pi\) | ||||
−0.00722244 | + | 0.999974i | \(0.502299\pi\) | |||||||
\(350\) | 164.383 | − | 12.8409i | 0.469667 | − | 0.0366882i | ||||
\(351\) | −115.100 | − | 597.229i | −0.327920 | − | 1.70151i | ||||
\(352\) | −16.3008 | + | 11.8432i | −0.0463090 | + | 0.0336455i | ||||
\(353\) | 49.4739 | + | 16.0750i | 0.140153 | + | 0.0455384i | 0.378253 | − | 0.925702i | \(-0.376525\pi\) |
−0.238101 | + | 0.971240i | \(0.576525\pi\) | |||||||
\(354\) | 241.892 | + | 61.9445i | 0.683310 | + | 0.174984i | ||||
\(355\) | −550.994 | + | 109.433i | −1.55210 | + | 0.308261i | ||||
\(356\) | 176.269 | − | 57.2734i | 0.495138 | − | 0.160880i | ||||
\(357\) | −170.133 | + | 10.8117i | −0.476562 | + | 0.0302848i | ||||
\(358\) | 12.5794 | + | 38.7154i | 0.0351380 | + | 0.108144i | ||||
\(359\) | 168.495 | − | 231.914i | 0.469346 | − | 0.645999i | −0.507068 | − | 0.861906i | \(-0.669271\pi\) |
0.976414 | + | 0.215907i | \(0.0692707\pi\) | |||||||
\(360\) | −120.698 | + | 40.3982i | −0.335272 | + | 0.112217i | ||||
\(361\) | 167.967 | − | 122.035i | 0.465284 | − | 0.338048i | ||||
\(362\) | 279.184 | − | 384.264i | 0.771227 | − | 1.06150i | ||||
\(363\) | −173.938 | + | 274.465i | −0.479168 | + | 0.756103i | ||||
\(364\) | −169.984 | + | 123.500i | −0.466989 | + | 0.339287i | ||||
\(365\) | −283.453 | + | 614.387i | −0.776585 | + | 1.68325i | ||||
\(366\) | −264.740 | − | 167.775i | −0.723334 | − | 0.458401i | ||||
\(367\) | −36.9975 | − | 113.866i | −0.100811 | − | 0.310263i | 0.887914 | − | 0.460010i | \(-0.152154\pi\) |
−0.988724 | + | 0.149747i | \(0.952154\pi\) | |||||||
\(368\) | − | 51.3651i | − | 0.139579i | ||||||
\(369\) | −207.367 | + | 97.8994i | −0.561970 | + | 0.265310i | ||||
\(370\) | −52.6720 | − | 94.1169i | −0.142357 | − | 0.254370i | ||||
\(371\) | 385.869 | + | 125.377i | 1.04008 | + | 0.337942i | ||||
\(372\) | −312.371 | − | 79.9930i | −0.839706 | − | 0.215035i | ||||
\(373\) | −508.990 | + | 369.803i | −1.36458 | + | 0.991428i | −0.366445 | + | 0.930440i | \(0.619425\pi\) |
−0.998138 | + | 0.0609884i | \(0.980575\pi\) | |||||||
\(374\) | − | 61.3775i | − | 0.164111i | ||||||
\(375\) | −107.534 | + | 359.251i | −0.286757 | + | 0.958003i | ||||
\(376\) | −56.3247 | −0.149800 | ||||||||
\(377\) | −373.392 | − | 513.930i | −0.990430 | − | 1.36321i | ||||
\(378\) | 21.9841 | − | 176.713i | 0.0581589 | − | 0.467494i | ||||
\(379\) | 113.910 | − | 350.578i | 0.300553 | − | 0.925008i | −0.680746 | − | 0.732520i | \(-0.738344\pi\) |
0.981299 | − | 0.192488i | \(-0.0616557\pi\) | |||||||
\(380\) | −108.074 | + | 60.4828i | −0.284404 | + | 0.159165i | ||||
\(381\) | −525.127 | + | 208.296i | −1.37829 | + | 0.546709i | ||||
\(382\) | 491.561 | 1.28681 | ||||||||
\(383\) | 436.426 | − | 141.804i | 1.13949 | − | 0.370244i | 0.322318 | − | 0.946632i | \(-0.395538\pi\) |
0.817177 | + | 0.576387i | \(0.195538\pi\) | |||||||
\(384\) | −28.6689 | − | 18.1685i | −0.0746586 | − | 0.0473137i | ||||
\(385\) | −75.4164 | − | 34.7941i | −0.195887 | − | 0.0903742i | ||||
\(386\) | −233.591 | − | 321.511i | −0.605159 | − | 0.832930i | ||||
\(387\) | −252.378 | − | 138.331i | −0.652139 | − | 0.357445i | ||||
\(388\) | 108.706 | + | 78.9793i | 0.280169 | + | 0.203555i | ||||
\(389\) | 123.011 | + | 169.310i | 0.316223 | + | 0.435244i | 0.937309 | − | 0.348498i | \(-0.113308\pi\) |
−0.621086 | + | 0.783742i | \(0.713308\pi\) | |||||||
\(390\) | −122.628 | − | 461.860i | −0.314431 | − | 1.18426i | ||||
\(391\) | 126.586 | + | 91.9698i | 0.323748 | + | 0.235217i | ||||
\(392\) | 73.3039 | − | 23.8179i | 0.187000 | − | 0.0607599i | ||||
\(393\) | 112.491 | − | 7.14863i | 0.286237 | − | 0.0181899i | ||||
\(394\) | −33.9789 | − | 104.576i | −0.0862408 | − | 0.265422i | ||||
\(395\) | −13.0986 | − | 65.9515i | −0.0331610 | − | 0.166966i | ||||
\(396\) | 62.9928 | + | 11.9341i | 0.159073 | + | 0.0301367i | ||||
\(397\) | 21.4074 | − | 65.8852i | 0.0539229 | − | 0.165958i | −0.920468 | − | 0.390817i | \(-0.872192\pi\) |
0.974391 | + | 0.224860i | \(0.0721924\pi\) | |||||||
\(398\) | 113.074 | + | 155.633i | 0.284105 | + | 0.391037i | ||||
\(399\) | −10.9891 | − | 172.924i | −0.0275415 | − | 0.433394i | ||||
\(400\) | −92.4102 | + | 38.2145i | −0.231026 | + | 0.0955363i | ||||
\(401\) | − | 426.250i | − | 1.06297i | −0.847068 | − | 0.531484i | \(-0.821635\pi\) | ||
0.847068 | − | 0.531484i | \(-0.178365\pi\) | |||||||
\(402\) | 104.400 | − | 86.4782i | 0.259701 | − | 0.215120i | ||||
\(403\) | 374.102 | − | 1151.37i | 0.928293 | − | 2.85699i | ||||
\(404\) | −306.788 | − | 99.6813i | −0.759375 | − | 0.246736i | ||||
\(405\) | 356.854 | + | 191.520i | 0.881122 | + | 0.472889i | ||||
\(406\) | −57.4740 | − | 176.887i | −0.141562 | − | 0.435682i | ||||
\(407\) | 54.3281i | 0.133484i | ||||||||
\(408\) | 96.1068 | − | 38.1216i | 0.235556 | − | 0.0934353i | ||||
\(409\) | 212.282 | + | 154.232i | 0.519028 | + | 0.377096i | 0.816238 | − | 0.577716i | \(-0.196056\pi\) |
−0.297210 | + | 0.954812i | \(0.596056\pi\) | |||||||
\(410\) | −157.220 | + | 87.9875i | −0.383464 | + | 0.214604i | ||||
\(411\) | −386.652 | + | 320.278i | −0.940759 | + | 0.779264i | ||||
\(412\) | 137.265 | + | 99.7291i | 0.333168 | + | 0.242061i | ||||
\(413\) | −161.332 | + | 222.054i | −0.390634 | + | 0.537661i | ||||
\(414\) | −119.003 | + | 112.035i | −0.287448 | + | 0.270615i | ||||
\(415\) | −297.213 | + | 321.335i | −0.716175 | + | 0.774301i | ||||
\(416\) | 74.9014 | − | 103.093i | 0.180051 | − | 0.247819i | ||||
\(417\) | 653.115 | − | 259.064i | 1.56622 | − | 0.621256i | ||||
\(418\) | 62.3845 | 0.149245 | ||||||||
\(419\) | −366.810 | + | 119.184i | −0.875441 | + | 0.284448i | −0.712063 | − | 0.702115i | \(-0.752239\pi\) |
−0.163378 | + | 0.986564i | \(0.552239\pi\) | |||||||
\(420\) | 7.64053 | − | 139.700i | 0.0181917 | − | 0.332619i | ||||
\(421\) | −44.8041 | + | 137.893i | −0.106423 | + | 0.327536i | −0.990062 | − | 0.140633i | \(-0.955086\pi\) |
0.883639 | + | 0.468169i | \(0.155086\pi\) | |||||||
\(422\) | 215.194 | + | 69.9206i | 0.509937 | + | 0.165689i | ||||
\(423\) | 122.852 | + | 130.494i | 0.290431 | + | 0.308496i | ||||
\(424\) | −246.068 | −0.580349 | ||||||||
\(425\) | 71.2846 | − | 296.162i | 0.167729 | − | 0.696851i | ||||
\(426\) | 30.2304 | + | 475.706i | 0.0709634 | + | 1.11668i | ||||
\(427\) | 278.728 | − | 202.507i | 0.652758 | − | 0.474256i | ||||
\(428\) | −44.7706 | − | 14.5468i | −0.104604 | − | 0.0339880i | ||||
\(429\) | −59.7148 | + | 233.185i | −0.139195 | + | 0.543555i | ||||
\(430\) | −205.321 | − | 94.7266i | −0.477490 | − | 0.220294i | ||||
\(431\) | −577.048 | + | 187.494i | −1.33886 | + | 0.435021i | −0.888930 | − | 0.458043i | \(-0.848551\pi\) |
−0.449928 | + | 0.893065i | \(0.648551\pi\) | |||||||
\(432\) | 20.4381 | + | 106.049i | 0.0473103 | + | 0.245483i | ||||
\(433\) | −97.5441 | − | 300.210i | −0.225275 | − | 0.693325i | −0.998264 | − | 0.0589054i | \(-0.981239\pi\) |
0.772988 | − | 0.634420i | \(-0.218761\pi\) | |||||||
\(434\) | 208.338 | − | 286.753i | 0.480042 | − | 0.660721i | ||||
\(435\) | 422.370 | + | 23.1004i | 0.970965 | + | 0.0531044i | ||||
\(436\) | 114.361 | − | 83.0883i | 0.262296 | − | 0.190569i | ||||
\(437\) | −93.4787 | + | 128.662i | −0.213910 | + | 0.294422i | ||||
\(438\) | 484.950 | + | 307.330i | 1.10719 | + | 0.701666i | ||||
\(439\) | −77.1960 | + | 56.0861i | −0.175845 | + | 0.127759i | −0.672226 | − | 0.740346i | \(-0.734662\pi\) |
0.496381 | + | 0.868105i | \(0.334662\pi\) | |||||||
\(440\) | 50.0213 | + | 5.93519i | 0.113685 | + | 0.0134891i | ||||
\(441\) | −215.068 | − | 117.881i | −0.487682 | − | 0.267304i | ||||
\(442\) | 119.953 | + | 369.178i | 0.271387 | + | 0.835244i | ||||
\(443\) | 24.1612i | 0.0545400i | 0.999628 | + | 0.0272700i | \(0.00868139\pi\) | ||||
−0.999628 | + | 0.0272700i | \(0.991319\pi\) | |||||||
\(444\) | −85.0686 | + | 33.7432i | −0.191596 | + | 0.0759982i | ||||
\(445\) | −420.733 | − | 194.109i | −0.945467 | − | 0.436200i | ||||
\(446\) | −246.275 | − | 80.0196i | −0.552186 | − | 0.179416i | ||||
\(447\) | 132.147 | − | 516.032i | 0.295632 | − | 1.15443i | ||||
\(448\) | 30.1836 | − | 21.9297i | 0.0673742 | − | 0.0489502i | ||||
\(449\) | − | 667.584i | − | 1.48682i | −0.668834 | − | 0.743412i | \(-0.733206\pi\) | ||
0.668834 | − | 0.743412i | \(-0.266794\pi\) | |||||||
\(450\) | 290.096 | + | 130.746i | 0.644657 | + | 0.290546i | ||||
\(451\) | 90.7539 | 0.201228 | ||||||||
\(452\) | 43.5545 | + | 59.9476i | 0.0963595 | + | 0.132627i | ||||
\(453\) | −183.951 | − | 47.1068i | −0.406073 | − | 0.103989i | ||||
\(454\) | −31.7576 | + | 97.7397i | −0.0699506 | + | 0.215286i | ||||
\(455\) | 521.620 | + | 61.8919i | 1.14642 | + | 0.136026i | ||||
\(456\) | 38.7470 | + | 97.6836i | 0.0849716 | + | 0.214218i | ||||
\(457\) | −266.490 | −0.583129 | −0.291564 | − | 0.956551i | \(-0.594176\pi\) | ||||
−0.291564 | + | 0.956551i | \(0.594176\pi\) | |||||||
\(458\) | −60.3715 | + | 19.6159i | −0.131815 | + | 0.0428294i | ||||
\(459\) | −297.943 | − | 139.513i | −0.649114 | − | 0.303950i | ||||
\(460\) | −87.1942 | + | 94.2711i | −0.189553 | + | 0.204937i | ||||
\(461\) | 81.0450 | + | 111.549i | 0.175803 | + | 0.241971i | 0.887821 | − | 0.460190i | \(-0.152219\pi\) |
−0.712018 | + | 0.702161i | \(0.752219\pi\) | |||||||
\(462\) | −37.7249 | + | 59.5280i | −0.0816556 | + | 0.128848i | ||||
\(463\) | 714.083 | + | 518.812i | 1.54230 | + | 1.12054i | 0.948875 | + | 0.315652i | \(0.102223\pi\) |
0.593422 | + | 0.804892i | \(0.297777\pi\) | |||||||
\(464\) | 66.3023 | + | 91.2574i | 0.142893 | + | 0.196675i | ||||
\(465\) | 437.506 | + | 677.072i | 0.940874 | + | 1.45607i | ||||
\(466\) | 176.924 | + | 128.543i | 0.379666 | + | 0.275843i | ||||
\(467\) | 205.045 | − | 66.6230i | 0.439067 | − | 0.142662i | −0.0811379 | − | 0.996703i | \(-0.525855\pi\) |
0.520205 | + | 0.854041i | \(0.325855\pi\) | |||||||
\(468\) | −402.217 | + | 51.3279i | −0.859439 | + | 0.109675i | ||||
\(469\) | 46.0487 | + | 141.723i | 0.0981848 | + | 0.302182i | ||||
\(470\) | 103.373 | + | 95.6133i | 0.219944 | + | 0.203433i | ||||
\(471\) | 227.381 | + | 58.2287i | 0.482763 | + | 0.123628i | ||||
\(472\) | 51.4404 | − | 158.317i | 0.108984 | − | 0.335418i | ||||
\(473\) | 66.9493 | + | 92.1478i | 0.141542 | + | 0.194816i | ||||
\(474\) | −56.9399 | + | 3.61844i | −0.120126 | + | 0.00763385i | ||||
\(475\) | 301.021 | + | 72.4542i | 0.633728 | + | 0.152535i | ||||
\(476\) | 113.651i | 0.238762i | ||||||||
\(477\) | 536.709 | + | 570.093i | 1.12518 | + | 1.19516i | ||||
\(478\) | −110.003 | + | 338.554i | −0.230132 | + | 0.708273i | ||||
\(479\) | −745.417 | − | 242.201i | −1.55619 | − | 0.505638i | −0.600406 | − | 0.799696i | \(-0.704994\pi\) |
−0.955788 | + | 0.294058i | \(0.904994\pi\) | |||||||
\(480\) | 21.7748 | + | 82.0113i | 0.0453641 | + | 0.170857i | ||||
\(481\) | −106.176 | − | 326.776i | −0.220740 | − | 0.679369i | ||||
\(482\) | 47.8865i | 0.0993495i | ||||||||
\(483\) | −66.2430 | − | 167.003i | −0.137149 | − | 0.345761i | ||||
\(484\) | 175.254 | + | 127.330i | 0.362096 | + | 0.263078i | ||||
\(485\) | −65.4386 | − | 329.483i | −0.134925 | − | 0.679347i | ||||
\(486\) | 201.116 | − | 278.658i | 0.413819 | − | 0.573370i | ||||
\(487\) | 577.902 | + | 419.871i | 1.18666 | + | 0.862157i | 0.992907 | − | 0.118894i | \(-0.0379348\pi\) |
0.193750 | + | 0.981051i | \(0.437935\pi\) | |||||||
\(488\) | −122.818 | + | 169.045i | −0.251676 | + | 0.346403i | ||||
\(489\) | −281.305 | − | 339.603i | −0.575267 | − | 0.694485i | ||||
\(490\) | −174.967 | − | 80.7228i | −0.357076 | − | 0.164740i | ||||
\(491\) | −368.869 | + | 507.705i | −0.751261 | + | 1.03402i | 0.246629 | + | 0.969110i | \(0.420677\pi\) |
−0.997891 | + | 0.0649129i | \(0.979323\pi\) | |||||||
\(492\) | 56.3673 | + | 142.105i | 0.114568 | + | 0.288832i | ||||
\(493\) | −343.612 | −0.696982 | ||||||||
\(494\) | −375.235 | + | 121.921i | −0.759584 | + | 0.246804i | ||||
\(495\) | −95.3529 | − | 128.835i | −0.192632 | − | 0.260274i | ||||
\(496\) | −66.4284 | + | 204.446i | −0.133928 | + | 0.412189i | ||||
\(497\) | −498.320 | − | 161.914i | −1.00266 | − | 0.325782i | ||||
\(498\) | 236.927 | + | 286.027i | 0.475756 | + | 0.574352i | ||||
\(499\) | 358.686 | 0.718809 | 0.359405 | − | 0.933182i | \(-0.382980\pi\) | ||||
0.359405 | + | 0.933182i | \(0.382980\pi\) | |||||||
\(500\) | 234.472 | + | 86.7342i | 0.468944 | + | 0.173468i | ||||
\(501\) | 663.172 | − | 42.1436i | 1.32370 | − | 0.0841189i | ||||
\(502\) | 307.200 | − | 223.194i | 0.611952 | − | 0.444609i | ||||
\(503\) | 751.655 | + | 244.227i | 1.49434 | + | 0.485542i | 0.938362 | − | 0.345653i | \(-0.112343\pi\) |
0.555981 | + | 0.831195i | \(0.312343\pi\) | |||||||
\(504\) | −116.642 | − | 22.0980i | −0.231432 | − | 0.0438453i | ||||
\(505\) | 393.838 | + | 703.730i | 0.779878 | + | 1.39352i | ||||
\(506\) | 61.5185 | − | 19.9886i | 0.121578 | − | 0.0395031i | ||||
\(507\) | −64.3938 | − | 1013.30i | −0.127009 | − | 1.99862i | ||||
\(508\) | 116.382 | + | 358.187i | 0.229098 | + | 0.705093i | ||||
\(509\) | 40.5836 | − | 55.8585i | 0.0797319 | − | 0.109742i | −0.767288 | − | 0.641303i | \(-0.778394\pi\) |
0.847020 | + | 0.531561i | \(0.178394\pi\) | |||||||
\(510\) | −241.099 | − | 93.1799i | −0.472743 | − | 0.182706i | ||||
\(511\) | −510.573 | + | 370.953i | −0.999164 | + | 0.725935i | ||||
\(512\) | −13.3001 | + | 18.3060i | −0.0259767 | + | 0.0357538i | ||||
\(513\) | 141.802 | − | 302.831i | 0.276417 | − | 0.590315i | ||||
\(514\) | −312.365 | + | 226.946i | −0.607714 | + | 0.441530i | ||||
\(515\) | −82.6308 | − | 416.047i | −0.160448 | − | 0.807858i | ||||
\(516\) | −102.706 | + | 162.064i | −0.199042 | + | 0.314078i | ||||
\(517\) | −21.9186 | − | 67.4584i | −0.0423957 | − | 0.130481i | ||||
\(518\) | − | 100.598i | − | 0.194204i | ||||||
\(519\) | 195.245 | + | 492.226i | 0.376195 | + | 0.948412i | ||||
\(520\) | −312.471 | + | 62.0598i | −0.600906 | + | 0.119346i | ||||
\(521\) | 118.199 | + | 38.4050i | 0.226869 | + | 0.0737141i | 0.420245 | − | 0.907410i | \(-0.361944\pi\) |
−0.193377 | + | 0.981125i | \(0.561944\pi\) | |||||||
\(522\) | 66.8113 | − | 352.655i | 0.127991 | − | 0.675585i | ||||
\(523\) | 763.636 | − | 554.814i | 1.46011 | − | 1.06083i | 0.476773 | − | 0.879026i | \(-0.341806\pi\) |
0.983335 | − | 0.181804i | \(-0.0581937\pi\) | |||||||
\(524\) | − | 75.1453i | − | 0.143407i | ||||||
\(525\) | −251.169 | + | 243.423i | −0.478417 | + | 0.463663i | ||||
\(526\) | 473.518 | 0.900224 | ||||||||
\(527\) | −384.900 | − | 529.770i | −0.730361 | − | 1.00526i | ||||
\(528\) | 10.6034 | − | 41.4061i | 0.0200822 | − | 0.0784206i | ||||
\(529\) | 112.514 | − | 346.281i | 0.212691 | − | 0.654595i | ||||
\(530\) | 451.612 | + | 417.710i | 0.852097 | + | 0.788131i | ||||
\(531\) | −478.991 | + | 226.135i | −0.902054 | + | 0.425866i | ||||
\(532\) | −115.515 | −0.217134 | ||||||||
\(533\) | −545.873 | + | 177.365i | −1.02415 | + | 0.332767i | ||||
\(534\) | −210.460 | + | 332.094i | −0.394119 | + | 0.621900i | ||||
\(535\) | 57.4742 | + | 102.698i | 0.107428 | + | 0.191958i | ||||
\(536\) | −53.1220 | − | 73.1162i | −0.0991083 | − | 0.136411i | ||||
\(537\) | −72.9405 | − | 46.2249i | −0.135830 | − | 0.0860798i | ||||
\(538\) | −122.215 | − | 88.7943i | −0.227165 | − | 0.165045i | ||||
\(539\) | 57.0519 | + | 78.5252i | 0.105848 | + | 0.145687i | ||||
\(540\) | 142.511 | − | 229.326i | 0.263909 | − | 0.424679i | ||||
\(541\) | −43.8048 | − | 31.8260i | −0.0809701 | − | 0.0588282i | 0.546564 | − | 0.837417i | \(-0.315936\pi\) |
−0.627534 | + | 0.778589i | \(0.715936\pi\) | |||||||
\(542\) | −174.995 | + | 56.8593i | −0.322869 | + | 0.104906i | ||||
\(543\) | 63.9011 | + | 1005.55i | 0.117682 | + | 1.85184i | ||||
\(544\) | −21.2998 | − | 65.5540i | −0.0391540 | − | 0.120504i | ||||
\(545\) | −350.934 | − | 41.6394i | −0.643915 | − | 0.0764026i | ||||
\(546\) | 110.572 | − | 431.781i | 0.202513 | − | 0.790808i | ||||
\(547\) | −40.6958 | + | 125.249i | −0.0743981 | + | 0.228974i | −0.981340 | − | 0.192283i | \(-0.938411\pi\) |
0.906941 | + | 0.421257i | \(0.138411\pi\) | |||||||
\(548\) | 196.741 | + | 270.790i | 0.359016 | + | 0.494143i | ||||
\(549\) | 659.528 | − | 84.1639i | 1.20133 | − | 0.153304i | ||||
\(550\) | −81.7295 | − | 95.8059i | −0.148599 | − | 0.174193i | ||||
\(551\) | − | 349.250i | − | 0.633847i | ||||||
\(552\) | 69.5079 | + | 83.9127i | 0.125920 | + | 0.152016i | ||||
\(553\) | 19.3804 | − | 59.6466i | 0.0350459 | − | 0.107860i | ||||
\(554\) | −420.228 | − | 136.540i | −0.758534 | − | 0.246463i | ||||
\(555\) | 213.408 | + | 82.4779i | 0.384519 | + | 0.148609i | ||||
\(556\) | −144.747 | − | 445.487i | −0.260337 | − | 0.801235i | ||||
\(557\) | − | 852.525i | − | 1.53056i | −0.643695 | − | 0.765282i | \(-0.722599\pi\) | ||
0.643695 | − | 0.765282i | \(-0.277401\pi\) | |||||||
\(558\) | 618.552 | − | 292.023i | 1.10852 | − | 0.523339i | ||||
\(559\) | −582.781 | − | 423.415i | −1.04254 | − | 0.757451i | ||||
\(560\) | −92.6228 | − | 10.9900i | −0.165398 | − | 0.0196250i | ||||
\(561\) | 83.0567 | + | 100.269i | 0.148051 | + | 0.178733i | ||||
\(562\) | 96.5980 | + | 70.1826i | 0.171883 | + | 0.124880i | ||||
\(563\) | −45.8350 | + | 63.0864i | −0.0814121 | + | 0.112054i | −0.847781 | − | 0.530347i | \(-0.822062\pi\) |
0.766369 | + | 0.642401i | \(0.222062\pi\) | |||||||
\(564\) | 92.0150 | − | 76.2193i | 0.163147 | − | 0.135141i | ||||
\(565\) | 21.8272 | − | 183.958i | 0.0386322 | − | 0.325589i | ||||
\(566\) | −187.701 | + | 258.348i | −0.331627 | + | 0.456445i | ||||
\(567\) | 203.215 | + | 318.436i | 0.358404 | + | 0.561616i | ||||
\(568\) | 317.777 | 0.559467 | ||||||||
\(569\) | −219.995 | + | 71.4808i | −0.386635 | + | 0.125625i | −0.495883 | − | 0.868389i | \(-0.665156\pi\) |
0.109248 | + | 0.994014i | \(0.465156\pi\) | |||||||
\(570\) | 94.7086 | − | 245.054i | 0.166156 | − | 0.429920i | ||||
\(571\) | −260.678 | + | 802.284i | −0.456529 | + | 1.40505i | 0.412802 | + | 0.910821i | \(0.364550\pi\) |
−0.869331 | + | 0.494231i | \(0.835450\pi\) | |||||||
\(572\) | 152.619 | + | 49.5889i | 0.266816 | + | 0.0866939i | ||||
\(573\) | −803.039 | + | 665.186i | −1.40146 | + | 1.16088i | ||||
\(574\) | −168.046 | −0.292763 | ||||||||
\(575\) | 320.057 | − | 25.0014i | 0.556621 | − | 0.0434807i | ||||
\(576\) | 71.4208 | − | 9.11417i | 0.123994 | − | 0.0158232i | ||||
\(577\) | −485.648 | + | 352.844i | −0.841678 | + | 0.611515i | −0.922839 | − | 0.385186i | \(-0.874137\pi\) |
0.0811607 | + | 0.996701i | \(0.474137\pi\) | |||||||
\(578\) | −189.014 | − | 61.4142i | −0.327013 | − | 0.106253i | ||||
\(579\) | 816.679 | + | 209.138i | 1.41050 | + | 0.361206i | ||||
\(580\) | 33.2272 | − | 280.036i | 0.0572883 | − | 0.482821i | ||||
\(581\) | −388.283 | + | 126.161i | −0.668301 | + | 0.217144i | ||||
\(582\) | −284.463 | + | 18.0772i | −0.488768 | + | 0.0310604i | ||||
\(583\) | −95.7565 | − | 294.708i | −0.164248 | − | 0.505503i | ||||
\(584\) | 224.978 | − | 309.655i | 0.385236 | − | 0.530232i | ||||
\(585\) | 825.325 | + | 588.576i | 1.41081 | + | 1.00611i | ||||
\(586\) | −203.017 | + | 147.501i | −0.346446 | + | 0.251708i | ||||
\(587\) | 271.879 | − | 374.209i | 0.463167 | − | 0.637495i | −0.511995 | − | 0.858989i | \(-0.671093\pi\) |
0.975162 | + | 0.221494i | \(0.0710933\pi\) | |||||||
\(588\) | −87.5224 | + | 138.106i | −0.148848 | + | 0.234874i | ||||
\(589\) | 538.462 | − | 391.215i | 0.914196 | − | 0.664203i | ||||
\(590\) | −363.159 | + | 203.240i | −0.615523 | + | 0.344474i | ||||
\(591\) | 197.023 | + | 124.860i | 0.333373 | + | 0.211270i | ||||
\(592\) | 18.8534 | + | 58.0249i | 0.0318470 | + | 0.0980151i | ||||
\(593\) | − | 28.8883i | − | 0.0487155i | −0.999703 | − | 0.0243578i | \(-0.992246\pi\) | ||
0.999703 | − | 0.0243578i | \(-0.00775409\pi\) | |||||||
\(594\) | −119.058 | + | 65.7465i | −0.200434 | + | 0.110684i | ||||
\(595\) | 192.926 | − | 208.584i | 0.324246 | − | 0.350562i | ||||
\(596\) | −337.742 | − | 109.739i | −0.566681 | − | 0.184126i | ||||
\(597\) | −395.327 | − | 101.237i | −0.662190 | − | 0.169576i | ||||
\(598\) | −330.961 | + | 240.457i | −0.553447 | + | 0.402103i | ||||
\(599\) | 109.613i | 0.182993i | 0.995805 | + | 0.0914967i | \(0.0291651\pi\) | ||||
−0.995805 | + | 0.0914967i | \(0.970835\pi\) | |||||||
\(600\) | 99.2538 | − | 187.480i | 0.165423 | − | 0.312466i | ||||
\(601\) | −900.859 | −1.49893 | −0.749467 | − | 0.662042i | \(-0.769690\pi\) | ||||
−0.749467 | + | 0.662042i | \(0.769690\pi\) | |||||||
\(602\) | −123.968 | − | 170.627i | −0.205927 | − | 0.283434i | ||||
\(603\) | −53.5298 | + | 282.551i | −0.0887725 | + | 0.468575i | ||||
\(604\) | −39.1189 | + | 120.395i | −0.0647663 | + | 0.199330i | ||||
\(605\) | −105.500 | − | 531.191i | −0.174379 | − | 0.878001i | ||||
\(606\) | 636.074 | − | 252.304i | 1.04963 | − | 0.416343i | ||||
\(607\) | 160.798 | 0.264906 | 0.132453 | − | 0.991189i | \(-0.457715\pi\) | ||||
0.132453 | + | 0.991189i | \(0.457715\pi\) | |||||||
\(608\) | 66.6296 | − | 21.6493i | 0.109588 | − | 0.0356073i | ||||
\(609\) | 333.258 | + | 211.197i | 0.547221 | + | 0.346793i | ||||
\(610\) | 512.369 | − | 101.761i | 0.839949 | − | 0.166822i | ||||
\(611\) | 263.675 | + | 362.918i | 0.431547 | + | 0.593973i | ||||
\(612\) | −105.418 | + | 192.330i | −0.172252 | + | 0.314265i | ||||
\(613\) | −42.1118 | − | 30.5960i | −0.0686979 | − | 0.0499120i | 0.552906 | − | 0.833243i | \(-0.313519\pi\) |
−0.621604 | + | 0.783332i | \(0.713519\pi\) | |||||||
\(614\) | 203.026 | + | 279.441i | 0.330661 | + | 0.455116i | ||||
\(615\) | 137.778 | − | 356.493i | 0.224029 | − | 0.579664i | ||||
\(616\) | 38.0104 | + | 27.6162i | 0.0617052 | + | 0.0448314i | ||||
\(617\) | 619.626 | − | 201.329i | 1.00426 | − | 0.326302i | 0.239691 | − | 0.970849i | \(-0.422954\pi\) |
0.764565 | + | 0.644547i | \(0.222954\pi\) | |||||||
\(618\) | −359.198 | + | 22.8265i | −0.581227 | + | 0.0369361i | ||||
\(619\) | −234.129 | − | 720.573i | −0.378237 | − | 1.16409i | −0.941269 | − | 0.337658i | \(-0.890365\pi\) |
0.563032 | − | 0.826435i | \(-0.309635\pi\) | |||||||
\(620\) | 468.971 | − | 262.457i | 0.756405 | − | 0.423317i | ||||
\(621\) | 42.8034 | − | 344.062i | 0.0689265 | − | 0.554046i | ||||
\(622\) | −220.921 | + | 679.924i | −0.355178 | + | 1.09313i | ||||
\(623\) | −254.029 | − | 349.641i | −0.407751 | − | 0.561221i | ||||
\(624\) | 17.1438 | + | 269.775i | 0.0274740 | + | 0.432332i | ||||
\(625\) | −283.095 | − | 557.209i | −0.452952 | − | 0.891535i | ||||
\(626\) | 279.569i | 0.446595i | ||||||||
\(627\) | −101.914 | + | 84.4194i | −0.162543 | + | 0.134640i | ||||
\(628\) | 48.3547 | − | 148.821i | 0.0769980 | − | 0.236975i | ||||
\(629\) | −176.755 | − | 57.4313i | −0.281010 | − | 0.0913058i | ||||
\(630\) | 176.562 | + | 238.560i | 0.280257 | + | 0.378667i | ||||
\(631\) | 131.351 | + | 404.256i | 0.208163 | + | 0.640659i | 0.999569 | + | 0.0293681i | \(0.00934951\pi\) |
−0.791406 | + | 0.611291i | \(0.790650\pi\) | |||||||
\(632\) | 38.0365i | 0.0601844i | ||||||||
\(633\) | −446.169 | + | 176.977i | −0.704848 | + | 0.279584i | ||||
\(634\) | −487.475 | − | 354.171i | −0.768888 | − | 0.558630i | ||||
\(635\) | 394.438 | − | 854.948i | 0.621163 | − | 1.34637i | ||||
\(636\) | 401.989 | − | 332.982i | 0.632059 | − | 0.523557i | ||||
\(637\) | −496.626 | − | 360.820i | −0.779633 | − | 0.566436i | ||||
\(638\) | −83.4949 | + | 114.921i | −0.130870 | + | 0.180127i | ||||
\(639\) | −693.117 | − | 736.230i | −1.08469 | − | 1.15216i | ||||
\(640\) | 55.4848 | − | 11.0198i | 0.0866950 | − | 0.0172185i | ||||
\(641\) | 204.784 | − | 281.862i | 0.319476 | − | 0.439722i | −0.618831 | − | 0.785524i | \(-0.712393\pi\) |
0.938307 | + | 0.345803i | \(0.112393\pi\) | |||||||
\(642\) | 92.8245 | − | 36.8196i | 0.144586 | − | 0.0573514i | ||||
\(643\) | −486.965 | −0.757333 | −0.378667 | − | 0.925533i | \(-0.623617\pi\) | ||||
−0.378667 | + | 0.925533i | \(0.623617\pi\) | |||||||
\(644\) | −113.912 | + | 37.0122i | −0.176882 | + | 0.0574723i | ||||
\(645\) | 463.607 | − | 123.092i | 0.718771 | − | 0.190840i | ||||
\(646\) | −65.9479 | + | 202.967i | −0.102087 | + | 0.314190i | ||||
\(647\) | 143.119 | + | 46.5021i | 0.221204 | + | 0.0718735i | 0.417522 | − | 0.908667i | \(-0.362899\pi\) |
−0.196318 | + | 0.980540i | \(0.562899\pi\) | |||||||
\(648\) | −176.895 | − | 145.589i | −0.272986 | − | 0.224675i | ||||
\(649\) | 209.630 | 0.323004 | ||||||||
\(650\) | 678.831 | + | 416.532i | 1.04436 | + | 0.640819i | ||||
\(651\) | 47.6855 | + | 750.380i | 0.0732496 | + | 1.15266i | ||||
\(652\) | −237.840 | + | 172.801i | −0.364785 | + | 0.265032i | ||||
\(653\) | 167.961 | + | 54.5739i | 0.257215 | + | 0.0835741i | 0.434786 | − | 0.900534i | \(-0.356824\pi\) |
−0.177571 | + | 0.984108i | \(0.556824\pi\) | |||||||
\(654\) | −74.3903 | + | 290.492i | −0.113747 | + | 0.444178i | ||||
\(655\) | −127.562 | + | 137.915i | −0.194751 | + | 0.210557i | ||||
\(656\) | 96.9295 | − | 31.4943i | 0.147758 | − | 0.0480096i | ||||
\(657\) | −1208.12 | + | 154.171i | −1.83885 | + | 0.234659i | ||||
\(658\) | 40.5859 | + | 124.911i | 0.0616807 | + | 0.189834i | ||||
\(659\) | 305.539 | − | 420.538i | 0.463640 | − | 0.638146i | −0.511618 | − | 0.859213i | \(-0.670954\pi\) |
0.975259 | + | 0.221067i | \(0.0709538\pi\) | |||||||
\(660\) | −89.7490 | + | 57.9934i | −0.135983 | + | 0.0878688i | ||||
\(661\) | 405.623 | − | 294.703i | 0.613651 | − | 0.445843i | −0.237047 | − | 0.971498i | \(-0.576180\pi\) |
0.850698 | + | 0.525655i | \(0.176180\pi\) | |||||||
\(662\) | −260.331 | + | 358.315i | −0.393249 | + | 0.541261i | ||||
\(663\) | −695.537 | − | 440.786i | −1.04908 | − | 0.664835i | ||||
\(664\) | 200.318 | − | 145.540i | 0.301684 | − | 0.219187i | ||||
\(665\) | 212.007 | + | 196.091i | 0.318807 | + | 0.294874i | ||||
\(666\) | 93.3108 | − | 170.241i | 0.140106 | − | 0.255616i | ||||
\(667\) | −111.903 | − | 344.402i | −0.167770 | − | 0.516344i | ||||
\(668\) | − | 443.007i | − | 0.663183i | ||||||
\(669\) | 510.611 | − | 202.538i | 0.763246 | − | 0.302748i | ||||
\(670\) | −26.6219 | + | 224.368i | −0.0397342 | + | 0.334877i | ||||
\(671\) | −250.254 | − | 81.3124i | −0.372956 | − | 0.121181i | ||||
\(672\) | −19.6340 | + | 76.6703i | −0.0292173 | + | 0.114093i | ||||
\(673\) | 251.174 | − | 182.489i | 0.373216 | − | 0.271157i | −0.385327 | − | 0.922780i | \(-0.625912\pi\) |
0.758543 | + | 0.651623i | \(0.225912\pi\) | |||||||
\(674\) | − | 601.928i | − | 0.893069i | ||||||
\(675\) | −650.842 | + | 178.968i | −0.964211 | + | 0.265138i | ||||
\(676\) | −676.898 | −1.00133 | ||||||||
\(677\) | 642.987 | + | 884.995i | 0.949759 | + | 1.30723i | 0.951635 | + | 0.307232i | \(0.0994029\pi\) |
−0.00187587 | + | 0.999998i | \(0.500597\pi\) | |||||||
\(678\) | −152.275 | − | 38.9950i | −0.224594 | − | 0.0575148i | ||||
\(679\) | 96.8213 | − | 297.985i | 0.142594 | − | 0.438859i | ||||
\(680\) | −72.1886 | + | 156.469i | −0.106160 | + | 0.230102i | ||||
\(681\) | −80.3818 | − | 202.647i | −0.118035 | − | 0.297573i | ||||
\(682\) | −270.709 | −0.396934 | ||||||||
\(683\) | −563.740 | + | 183.170i | −0.825388 | + | 0.268185i | −0.691101 | − | 0.722758i | \(-0.742874\pi\) |
−0.134287 | + | 0.990943i | \(0.542874\pi\) | |||||||
\(684\) | −195.486 | − | 107.148i | −0.285798 | − | 0.156649i | ||||
\(685\) | 98.5960 | − | 830.960i | 0.143936 | − | 1.21308i | ||||
\(686\) | −295.597 | − | 406.855i | −0.430900 | − | 0.593083i | ||||
\(687\) | 72.0815 | − | 113.741i | 0.104922 | − | 0.165562i | ||||
\(688\) | 103.483 | + | 75.1848i | 0.150411 | + | 0.109280i | ||||
\(689\) | 1151.93 | + | 1585.49i | 1.67188 | + | 2.30115i | ||||
\(690\) | 14.8762 | − | 271.998i | 0.0215598 | − | 0.394200i | ||||
\(691\) | −238.484 | − | 173.269i | −0.345129 | − | 0.250751i | 0.401694 | − | 0.915774i | \(-0.368422\pi\) |
−0.746823 | + | 0.665023i | \(0.768422\pi\) | |||||||
\(692\) | 335.745 | − | 109.090i | 0.485180 | − | 0.157645i | ||||
\(693\) | −18.9246 | − | 148.298i | −0.0273082 | − | 0.213994i | ||||
\(694\) | 140.662 | + | 432.913i | 0.202683 | + | 0.623794i | ||||
\(695\) | −490.573 | + | 1063.32i | −0.705861 | + | 1.52996i | ||||
\(696\) | −231.805 | − | 59.3616i | −0.333054 | − | 0.0852896i | ||||
\(697\) | −95.9378 | + | 295.266i | −0.137644 | + | 0.423625i | ||||
\(698\) | −4.19057 | − | 5.76782i | −0.00600368 | − | 0.00826335i | ||||
\(699\) | −462.978 | + | 29.4216i | −0.662344 | + | 0.0420909i | ||||
\(700\) | 151.336 | + | 177.401i | 0.216194 | + | 0.253430i | ||||
\(701\) | 41.8045i | 0.0596356i | 0.999555 | + | 0.0298178i | \(0.00949270\pi\) | ||||
−0.999555 | + | 0.0298178i | \(0.990507\pi\) | |||||||
\(702\) | 587.626 | − | 628.137i | 0.837074 | − | 0.894783i | ||||
\(703\) | 58.3736 | − | 179.655i | 0.0830350 | − | 0.255555i | ||||
\(704\) | −27.1002 | − | 8.80538i | −0.0384946 | − | 0.0125076i | ||||
\(705\) | −298.261 | − | 16.3126i | −0.423066 | − | 0.0231385i | ||||
\(706\) | 22.7335 | + | 69.9667i | 0.0322005 | + | 0.0991029i | ||||
\(707\) | 752.186i | 1.06391i | ||||||||
\(708\) | 130.201 | + | 328.245i | 0.183900 | + | 0.463623i | ||||
\(709\) | 435.324 | + | 316.281i | 0.613997 | + | 0.446095i | 0.850820 | − | 0.525458i | \(-0.176106\pi\) |
−0.236822 | + | 0.971553i | \(0.576106\pi\) | |||||||
\(710\) | −583.220 | − | 539.439i | −0.821437 | − | 0.759773i | ||||
\(711\) | 88.1235 | − | 82.9631i | 0.123943 | − | 0.116685i | ||||
\(712\) | 212.052 | + | 154.065i | 0.297826 | + | 0.216383i | ||||
\(713\) | 405.638 | − | 558.313i | 0.568917 | − | 0.783048i | ||||
\(714\) | −153.793 | − | 185.666i | −0.215397 | − | 0.260036i | ||||
\(715\) | −195.924 | − | 350.087i | −0.274020 | − | 0.489632i | ||||
\(716\) | −33.8385 | + | 46.5747i | −0.0472605 | + | 0.0650484i | ||||
\(717\) | −278.429 | − | 701.937i | −0.388325 | − | 0.978992i | ||||
\(718\) | 405.400 | 0.564624 | ||||||||
\(719\) | −1195.70 | + | 388.505i | −1.66300 | + | 0.540341i | −0.981497 | − | 0.191477i | \(-0.938672\pi\) |
−0.681501 | + | 0.731817i | \(0.738672\pi\) | |||||||
\(720\) | −146.551 | − | 104.512i | −0.203543 | − | 0.145156i | ||||
\(721\) | 122.259 | − | 376.273i | 0.169568 | − | 0.521877i | ||||
\(722\) | 279.247 | + | 90.7329i | 0.386769 | + | 0.125669i | ||||
\(723\) | −64.8005 | − | 78.2298i | −0.0896273 | − | 0.108202i | ||||
\(724\) | 671.718 | 0.927787 | ||||||||
\(725\) | −536.354 | + | 457.550i | −0.739799 | + | 0.631103i | ||||
\(726\) | −458.609 | + | 29.1439i | −0.631693 | + | 0.0401431i | ||||
\(727\) | −833.074 | + | 605.263i | −1.14591 | + | 0.832549i | −0.987931 | − | 0.154894i | \(-0.950496\pi\) |
−0.157975 | + | 0.987443i | \(0.550496\pi\) | |||||||
\(728\) | −282.599 | − | 91.8221i | −0.388186 | − | 0.126129i | ||||
\(729\) | 48.5297 | + | 727.383i | 0.0665702 | + | 0.997782i | ||||
\(730\) | −938.556 | + | 186.406i | −1.28569 | + | 0.255351i | ||||
\(731\) | −370.575 | + | 120.407i | −0.506942 | + | 0.164715i | ||||
\(732\) | −28.1112 | − | 442.359i | −0.0384033 | − | 0.604315i | ||||
\(733\) | 146.382 | + | 450.517i | 0.199702 | + | 0.614620i | 0.999889 | + | 0.0148698i | \(0.00473339\pi\) |
−0.800187 | + | 0.599750i | \(0.795267\pi\) | |||||||
\(734\) | 99.5230 | − | 136.982i | 0.135590 | − | 0.186623i | ||||
\(735\) | 395.071 | − | 104.895i | 0.537511 | − | 0.142714i | ||||
\(736\) | 58.7680 | − | 42.6975i | 0.0798479 | − | 0.0580129i | ||||
\(737\) | 66.8968 | − | 92.0756i | 0.0907691 | − | 0.124933i | ||||
\(738\) | −284.383 | − | 155.874i | −0.385343 | − | 0.211211i | ||||
\(739\) | 143.758 | − | 104.447i | 0.194531 | − | 0.141335i | −0.486256 | − | 0.873816i | \(-0.661638\pi\) |
0.680787 | + | 0.732481i | \(0.261638\pi\) | |||||||
\(740\) | 63.8975 | − | 138.498i | 0.0863480 | − | 0.187160i | ||||
\(741\) | 448.018 | − | 706.949i | 0.604612 | − | 0.954047i | ||||
\(742\) | 177.309 | + | 545.702i | 0.238961 | + | 0.735447i | ||||
\(743\) | − | 82.0021i | − | 0.110366i | −0.998476 | − | 0.0551831i | \(-0.982426\pi\) | ||
0.998476 | − | 0.0551831i | \(-0.0175743\pi\) | |||||||
\(744\) | −168.137 | − | 423.885i | −0.225991 | − | 0.569737i | ||||
\(745\) | 433.576 | + | 774.734i | 0.581981 | + | 1.03991i | ||||
\(746\) | −846.199 | − | 274.947i | −1.13432 | − | 0.368561i | ||||
\(747\) | −774.111 | − | 146.657i | −1.03629 | − | 0.196328i | ||||
\(748\) | 70.2234 | − | 51.0203i | 0.0938815 | − | 0.0682089i | ||||
\(749\) | 109.769i | 0.146554i | ||||||||
\(750\) | −500.416 | + | 175.597i | −0.667221 | + | 0.234129i | ||||
\(751\) | −301.529 | −0.401504 | −0.200752 | − | 0.979642i | \(-0.564339\pi\) | ||||
−0.200752 | + | 0.979642i | \(0.564339\pi\) | |||||||
\(752\) | −46.8202 | − | 64.4424i | −0.0622608 | − | 0.0856947i | ||||
\(753\) | −199.829 | + | 780.328i | −0.265377 | + | 1.03629i | ||||
\(754\) | 277.615 | − | 854.413i | 0.368190 | − | 1.13317i | ||||
\(755\) | 276.171 | − | 154.558i | 0.365789 | − | 0.204712i | ||||
\(756\) | 220.455 | − | 121.741i | 0.291608 | − | 0.161033i | ||||
\(757\) | 1243.83 | 1.64310 | 0.821552 | − | 0.570134i | \(-0.193109\pi\) | ||||
0.821552 | + | 0.570134i | \(0.193109\pi\) | |||||||
\(758\) | 495.792 | − | 161.093i | 0.654079 | − | 0.212523i | ||||
\(759\) | −73.4510 | + | 115.902i | −0.0967734 | + | 0.152703i | ||||
\(760\) | −159.036 | − | 73.3730i | −0.209258 | − | 0.0965434i | ||||
\(761\) | 251.014 | + | 345.491i | 0.329847 | + | 0.453996i | 0.941442 | − | 0.337176i | \(-0.109472\pi\) |
−0.611595 | + | 0.791171i | \(0.709472\pi\) | |||||||
\(762\) | −674.831 | − | 427.663i | −0.885604 | − | 0.561238i | ||||
\(763\) | −266.669 | − | 193.746i | −0.349501 | − | 0.253927i | ||||
\(764\) | 408.612 | + | 562.406i | 0.534832 | + | 0.736133i | ||||
\(765\) | 519.964 | − | 174.034i | 0.679691 | − | 0.227496i | ||||
\(766\) | 525.022 | + | 381.451i | 0.685407 | + | 0.497977i | ||||
\(767\) | −1260.90 | + | 409.690i | −1.64393 | + | 0.534147i | ||||
\(768\) | −3.04419 | − | 47.9034i | −0.00396378 | − | 0.0623742i | ||||
\(769\) | 95.9167 | + | 295.201i | 0.124729 | + | 0.383877i | 0.993852 | − | 0.110720i | \(-0.0353157\pi\) |
−0.869122 | + | 0.494597i | \(0.835316\pi\) | |||||||
\(770\) | −22.8815 | − | 115.208i | −0.0297162 | − | 0.149621i | ||||
\(771\) | 203.189 | − | 793.447i | 0.263539 | − | 1.02911i | ||||
\(772\) | 173.674 | − | 534.514i | 0.224967 | − | 0.692376i | ||||
\(773\) | −69.2751 | − | 95.3490i | −0.0896185 | − | 0.123349i | 0.761853 | − | 0.647749i | \(-0.224290\pi\) |
−0.851472 | + | 0.524400i | \(0.824290\pi\) | |||||||
\(774\) | −51.5221 | − | 403.739i | −0.0665660 | − | 0.521627i | ||||
\(775\) | −1306.24 | − | 314.405i | −1.68547 | − | 0.405684i | ||||
\(776\) | 190.024i | 0.244877i | ||||||||
\(777\) | 136.130 | + | 164.341i | 0.175199 | + | 0.211507i | ||||
\(778\) | −91.4580 | + | 281.479i | −0.117555 | + | 0.361798i | ||||
\(779\) | −300.111 | − | 97.5119i | −0.385251 | − | 0.125176i | ||||
\(780\) | 426.489 | − | 524.224i | 0.546781 | − | 0.672082i | ||||
\(781\) | 123.662 | + | 380.592i | 0.158338 | + | 0.487314i | ||||
\(782\) | 221.280i | 0.282966i | ||||||||
\(783\) | 368.071 | + | 666.526i | 0.470078 | + | 0.851246i | ||||
\(784\) | 88.1847 | + | 64.0700i | 0.112481 | + | 0.0817219i | ||||
\(785\) | −341.374 | + | 191.048i | −0.434872 | + | 0.243374i | ||||
\(786\) | 101.688 | + | 122.761i | 0.129373 | + | 0.156185i | ||||
\(787\) | 1245.43 | + | 904.861i | 1.58251 | + | 1.14976i | 0.913747 | + | 0.406284i | \(0.133176\pi\) |
0.668763 | + | 0.743476i | \(0.266824\pi\) | |||||||
\(788\) | 91.4029 | − | 125.805i | 0.115994 | − | 0.159651i | ||||
\(789\) | −773.563 | + | 640.770i | −0.980435 | + | 0.812129i | ||||
\(790\) | 64.5684 | − | 69.8089i | 0.0817321 | − | 0.0883657i | ||||
\(791\) | 101.561 | − | 139.787i | 0.128396 | − | 0.176721i | ||||
\(792\) | 38.7089 | + | 81.9918i | 0.0488749 | + | 0.103525i | ||||
\(793\) | 1664.16 | 2.09856 | ||||||||
\(794\) | 93.1757 | − | 30.2746i | 0.117350 | − | 0.0381293i | ||||
\(795\) | −1303.03 | − | 71.2655i | −1.63903 | − | 0.0896422i | ||||
\(796\) | −84.0700 | + | 258.741i | −0.105616 | + | 0.325051i | ||||
\(797\) | 623.127 | + | 202.466i | 0.781840 | + | 0.254035i | 0.672626 | − | 0.739983i | \(-0.265166\pi\) |
0.109215 | + | 0.994018i | \(0.465166\pi\) | |||||||
\(798\) | 188.712 | − | 156.317i | 0.236481 | − | 0.195886i | ||||
\(799\) | 242.646 | 0.303687 | ||||||||
\(800\) | −120.538 | − | 73.9627i | −0.150673 | − | 0.0924534i | ||||
\(801\) | −105.577 | − | 827.323i | −0.131806 | − | 1.03286i | ||||
\(802\) | 487.683 | − | 354.322i | 0.608083 | − | 0.441798i | ||||
\(803\) | 458.414 | + | 148.948i | 0.570877 | + | 0.185489i | ||||
\(804\) | 185.725 | + | 47.5610i | 0.231001 | + | 0.0591555i | ||||
\(805\) | 271.893 | + | 125.441i | 0.337756 | + | 0.155827i | ||||
\(806\) | 1628.28 | − | 529.060i | 2.02020 | − | 0.656402i | ||||
\(807\) | 319.814 | − | 20.3237i | 0.396300 | − | 0.0251842i | ||||
\(808\) | −140.971 | − | 433.863i | −0.174469 | − | 0.536959i | ||||
\(809\) | 446.943 | − | 615.165i | 0.552464 | − | 0.760401i | −0.437880 | − | 0.899033i | \(-0.644271\pi\) |
0.990344 | + | 0.138632i | \(0.0442705\pi\) | |||||||
\(810\) | 77.5139 | + | 567.487i | 0.0956962 | + | 0.700601i | ||||
\(811\) | 224.956 | − | 163.440i | 0.277380 | − | 0.201529i | −0.440394 | − | 0.897805i | \(-0.645161\pi\) |
0.717774 | + | 0.696276i | \(0.245161\pi\) | |||||||
\(812\) | 154.605 | − | 212.795i | 0.190400 | − | 0.262063i | ||||
\(813\) | 208.938 | − | 329.694i | 0.256996 | − | 0.405527i | ||||
\(814\) | −62.1580 | + | 45.1604i | −0.0763612 | + | 0.0554796i | ||||
\(815\) | 729.846 | + | 86.5986i | 0.895517 | + | 0.106256i | ||||
\(816\) | 123.505 | + | 78.2693i | 0.151354 | + | 0.0959183i | ||||
\(817\) | −122.383 | − | 376.655i | −0.149795 | − | 0.461022i | ||||
\(818\) | 371.083i | 0.453647i | ||||||||
\(819\) | 403.655 | + | 855.007i | 0.492863 | + | 1.04396i | ||||
\(820\) | −231.358 | − | 106.739i | −0.282145 | − | 0.130170i | ||||
\(821\) | 1257.86 | + | 408.702i | 1.53210 | + | 0.497810i | 0.949184 | − | 0.314721i | \(-0.101911\pi\) |
0.582918 | + | 0.812531i | \(0.301911\pi\) | |||||||
\(822\) | −687.843 | − | 176.145i | −0.836792 | − | 0.214289i | ||||
\(823\) | 826.934 | − | 600.803i | 1.00478 | − | 0.730015i | 0.0416721 | − | 0.999131i | \(-0.486732\pi\) |
0.963108 | + | 0.269116i | \(0.0867315\pi\) | |||||||
\(824\) | 239.948i | 0.291200i | ||||||||
\(825\) | 263.163 | + | 45.9162i | 0.318986 | + | 0.0556559i | ||||
\(826\) | −388.165 | −0.469933 | ||||||||
\(827\) | −108.957 | − | 149.966i | −0.131750 | − | 0.181338i | 0.738045 | − | 0.674751i | \(-0.235749\pi\) |
−0.869795 | + | 0.493413i | \(0.835749\pi\) | |||||||
\(828\) | −227.103 | − | 43.0252i | −0.274280 | − | 0.0519628i | ||||
\(829\) | −292.067 | + | 898.891i | −0.352313 | + | 1.08431i | 0.605238 | + | 0.796044i | \(0.293078\pi\) |
−0.957551 | + | 0.288263i | \(0.906922\pi\) | |||||||
\(830\) | −614.706 | − | 72.9368i | −0.740610 | − | 0.0878757i | ||||
\(831\) | 871.274 | − | 345.598i | 1.04846 | − | 0.415882i | ||||
\(832\) | 180.213 | 0.216602 | ||||||||
\(833\) | −315.791 | + | 102.607i | −0.379101 | + | 0.123177i | ||||
\(834\) | 839.305 | + | 531.896i | 1.00636 | + | 0.637765i | ||||
\(835\) | −752.020 | + | 813.055i | −0.900622 | + | 0.973719i | ||||
\(836\) | 51.8573 | + | 71.3755i | 0.0620303 | + | 0.0853774i | ||||
\(837\) | −615.329 | + | 1314.10i | −0.735161 | + | 1.57001i | ||||
\(838\) | −441.273 | − | 320.604i | −0.526579 | − | 0.382582i | ||||
\(839\) | 442.697 | + | 609.320i | 0.527648 | + | 0.726245i | 0.986770 | − | 0.162128i | \(-0.0518358\pi\) |
−0.459122 | + | 0.888373i | \(0.651836\pi\) | |||||||
\(840\) | 166.185 | − | 107.385i | 0.197840 | − | 0.127839i | ||||
\(841\) | −37.0173 | − | 26.8946i | −0.0440158 | − | 0.0319793i | ||||
\(842\) | −195.010 | + | 63.3625i | −0.231603 | + | 0.0752524i | ||||
\(843\) | −252.779 | + | 16.0637i | −0.299857 | + | 0.0190554i | ||||
\(844\) | 98.8827 | + | 304.330i | 0.117160 | + | 0.360580i | ||||
\(845\) | 1242.32 | + | 1149.06i | 1.47020 | + | 1.35983i | ||||
\(846\) | −47.1795 | + | 249.032i | −0.0557678 | + | 0.294364i | ||||
\(847\) | 156.095 | − | 480.410i | 0.184291 | − | 0.567190i | ||||
\(848\) | −204.545 | − | 281.532i | −0.241209 | − | 0.331995i | ||||
\(849\) | −42.9619 | − | 676.049i | −0.0506029 | − | 0.796289i | ||||
\(850\) | 398.101 | − | 164.627i | 0.468354 | − | 0.193679i | ||||
\(851\) | − | 195.865i | − | 0.230159i | ||||||
\(852\) | −519.137 | + | 430.020i | −0.609316 | + | 0.504718i | ||||
\(853\) | −258.973 | + | 797.036i | −0.303602 | + | 0.934392i | 0.676593 | + | 0.736357i | \(0.263456\pi\) |
−0.980195 | + | 0.198034i | \(0.936544\pi\) | |||||||
\(854\) | 463.387 | + | 150.563i | 0.542607 | + | 0.176304i | ||||
\(855\) | 176.890 | + | 528.494i | 0.206888 | + | 0.618122i | ||||
\(856\) | −20.5723 | − | 63.3152i | −0.0240331 | − | 0.0739663i | ||||
\(857\) | 1264.09i | 1.47502i | 0.675335 | + | 0.737511i | \(0.263999\pi\) | ||||
−0.675335 | + | 0.737511i | \(0.736001\pi\) | |||||||
\(858\) | −316.430 | + | 125.515i | −0.368800 | + | 0.146288i | ||||
\(859\) | −458.500 | − | 333.120i | −0.533760 | − | 0.387800i | 0.288002 | − | 0.957630i | \(-0.407009\pi\) |
−0.821762 | + | 0.569830i | \(0.807009\pi\) | |||||||
\(860\) | −62.2946 | − | 313.654i | −0.0724356 | − | 0.364714i | ||||
\(861\) | 274.529 | − | 227.402i | 0.318849 | − | 0.264114i | ||||
\(862\) | −694.190 | − | 504.358i | −0.805325 | − | 0.585103i | ||||
\(863\) | 660.107 | − | 908.560i | 0.764898 | − | 1.05279i | −0.231892 | − | 0.972741i | \(-0.574492\pi\) |
0.996791 | − | 0.0800508i | \(-0.0255082\pi\) | |||||||
\(864\) | −104.343 | + | 111.537i | −0.120768 | + | 0.129094i | ||||
\(865\) | −801.381 | − | 369.725i | −0.926452 | − | 0.427428i | ||||
\(866\) | 262.393 | − | 361.153i | 0.302994 | − | 0.417036i | ||||
\(867\) | 391.889 | − | 155.446i | 0.452006 | − | 0.179292i | ||||
\(868\) | 501.263 | 0.577492 | ||||||||
\(869\) | −45.5552 | + | 14.8018i | −0.0524226 | + | 0.0170331i | ||||
\(870\) | 324.667 | + | 502.445i | 0.373180 | + | 0.577523i | ||||
\(871\) | −222.428 | + | 684.563i | −0.255371 | + | 0.785951i | ||||
\(872\) | 190.126 | + | 61.7758i | 0.218035 | + | 0.0708438i | ||||
\(873\) | 440.251 | − | 414.470i | 0.504297 | − | 0.474766i | ||||
\(874\) | −224.910 | −0.257334 | ||||||||
\(875\) | 23.3957 | − | 582.484i | 0.0267380 | − | 0.665696i | ||||
\(876\) | 51.4941 | + | 810.312i | 0.0587832 | + | 0.925013i | ||||
\(877\) | 177.895 | − | 129.248i | 0.202845 | − | 0.147375i | −0.481726 | − | 0.876322i | \(-0.659990\pi\) |
0.684570 | + | 0.728947i | \(0.259990\pi\) | |||||||
\(878\) | −128.339 | − | 41.6998i | −0.146172 | − | 0.0474941i | ||||
\(879\) | 132.060 | − | 515.691i | 0.150239 | − | 0.586679i | ||||
\(880\) | 34.7898 | + | 62.1642i | 0.0395339 | + | 0.0706411i | ||||
\(881\) | 613.682 | − | 199.397i | 0.696574 | − | 0.226331i | 0.0607369 | − | 0.998154i | \(-0.480655\pi\) |
0.635837 | + | 0.771823i | \(0.280655\pi\) | |||||||
\(882\) | −43.9054 | − | 344.053i | −0.0497794 | − | 0.390083i | ||||
\(883\) | 248.363 | + | 764.384i | 0.281272 | + | 0.865667i | 0.987491 | + | 0.157674i | \(0.0503994\pi\) |
−0.706219 | + | 0.707993i | \(0.749601\pi\) | |||||||
\(884\) | −322.673 | + | 444.122i | −0.365015 | + | 0.502400i | ||||
\(885\) | 318.248 | − | 823.454i | 0.359603 | − | 0.930456i | ||||
\(886\) | −27.6434 | + | 20.0841i | −0.0312003 | + | 0.0226683i | ||||
\(887\) | −541.528 | + | 745.350i | −0.610517 | + | 0.840304i | −0.996620 | − | 0.0821515i | \(-0.973821\pi\) |
0.386103 | + | 0.922456i | \(0.373821\pi\) | |||||||
\(888\) | −109.320 | − | 69.2798i | −0.123108 | − | 0.0780178i | ||||
\(889\) | 710.485 | − | 516.198i | 0.799196 | − | 0.580650i | ||||
\(890\) | −127.651 | − | 642.724i | −0.143428 | − | 0.722162i | ||||
\(891\) | 105.530 | − | 268.517i | 0.118440 | − | 0.301366i | ||||
\(892\) | −113.165 | − | 348.286i | −0.126866 | − | 0.390455i | ||||
\(893\) | 246.627i | 0.276178i | ||||||||
\(894\) | 700.252 | − | 277.761i | 0.783280 | − | 0.310695i | ||||
\(895\) | 141.166 | − | 28.0370i | 0.157728 | − | 0.0313263i | ||||
\(896\) | 50.1805 | + | 16.3046i | 0.0560050 | + | 0.0181971i | ||||
\(897\) | 215.286 | − | 840.685i | 0.240006 | − | 0.937218i | ||||
\(898\) | 763.798 | − | 554.932i | 0.850555 | − | 0.617964i | ||||
\(899\) | 1515.52i | 1.68578i | ||||||||
\(900\) | 91.5539 | + | 440.588i | 0.101727 | + | 0.489542i | ||||
\(901\) | 1060.05 | 1.17653 | ||||||||
\(902\) | 75.4395 | + | 103.834i | 0.0836359 | + | 0.115115i | ||||
\(903\) | 433.415 | + | 110.990i | 0.479972 | + | 0.122913i | ||||
\(904\) | −32.3826 | + | 99.6634i | −0.0358214 | + | 0.110247i | ||||
\(905\) | −1232.81 | − | 1140.27i | −1.36222 | − | 1.25996i | ||||
\(906\) | −99.0140 | − | 249.620i | −0.109287 | − | 0.275519i | ||||
\(907\) | 867.563 | 0.956519 | 0.478259 | − | 0.878219i | \(-0.341268\pi\) | ||||
0.478259 | + | 0.878219i | \(0.341268\pi\) | |||||||
\(908\) | −138.225 | + | 44.9120i | −0.152230 | + | 0.0494625i | ||||
\(909\) | −697.702 | + | 1272.92i | −0.767549 | + | 1.40035i | ||||
\(910\) | 362.787 | + | 648.245i | 0.398667 | + | 0.712357i | ||||
\(911\) | −832.732 | − | 1146.16i | −0.914086 | − | 1.25813i | −0.965752 | − | 0.259467i | \(-0.916453\pi\) |
0.0516657 | − | 0.998664i | \(-0.483547\pi\) | |||||||
\(912\) | −79.5534 | + | 125.531i | −0.0872297 | + | 0.137644i | ||||
\(913\) | 252.262 | + | 183.279i | 0.276300 | + | 0.200744i | ||||
\(914\) | −221.521 | − | 304.897i | −0.242364 | − | 0.333585i | ||||
\(915\) | −699.327 | + | 859.586i | −0.764292 | + | 0.939438i | ||||
\(916\) | −72.6270 | − | 52.7666i | −0.0792871 | − | 0.0576055i | ||||
\(917\) | −166.649 | + | 54.1475i | −0.181733 | + | 0.0590485i | ||||
\(918\) | −88.0466 | − | 456.854i | −0.0959113 | − | 0.497663i | ||||
\(919\) | −492.313 | − | 1515.18i | −0.535705 | − | 1.64873i | −0.742121 | − | 0.670266i | \(-0.766180\pi\) |
0.206417 | − | 0.978464i | \(-0.433820\pi\) | |||||||
\(920\) | −180.338 | − | 21.3977i | −0.196020 | − | 0.0232584i | ||||
\(921\) | −709.816 | − | 181.772i | −0.770702 | − | 0.197364i | ||||
\(922\) | −60.2566 | + | 185.451i | −0.0653543 | + | 0.201140i | ||||
\(923\) | −1487.62 | − | 2047.54i | −1.61172 | − | 2.21835i | ||||
\(924\) | −99.4663 | + | 6.32093i | −0.107647 | + | 0.00684083i | ||||
\(925\) | −352.378 | + | 145.719i | −0.380949 | + | 0.157534i | ||||
\(926\) | 1248.26i | 1.34802i | ||||||||
\(927\) | 555.916 | − | 523.362i | 0.599693 | − | 0.564576i | ||||
\(928\) | −49.2955 | + | 151.716i | −0.0531202 | + | 0.163487i | ||||
\(929\) | 892.560 | + | 290.010i | 0.960775 | + | 0.312175i | 0.747086 | − | 0.664727i | \(-0.231452\pi\) |
0.213689 | + | 0.976902i | \(0.431452\pi\) | |||||||
\(930\) | −410.975 | + | 1063.38i | −0.441909 | + | 1.14342i | ||||
\(931\) | −104.290 | − | 320.972i | −0.112020 | − | 0.344761i | ||||
\(932\) | 309.275i | 0.331840i | ||||||||
\(933\) | −559.174 | − | 1409.71i | −0.599329 | − | 1.51095i | ||||
\(934\) | 246.669 | + | 179.215i | 0.264099 | + | 0.191880i | ||||
\(935\) | −215.491 | − | 25.5686i | −0.230471 | − | 0.0273461i | ||||
\(936\) | −393.070 | − | 417.520i | −0.419947 | − | 0.446068i | ||||
\(937\) | 107.188 | + | 77.8769i | 0.114395 | + | 0.0831131i | 0.643512 | − | 0.765436i | \(-0.277477\pi\) |
−0.529117 | + | 0.848549i | \(0.677477\pi\) | |||||||
\(938\) | −123.871 | + | 170.493i | −0.132058 | + | 0.181763i | ||||
\(939\) | −378.316 | − | 456.718i | −0.402892 | − | 0.486387i | ||||
\(940\) | −23.4638 | + | 197.751i | −0.0249615 | + | 0.210373i | ||||
\(941\) | 383.224 | − | 527.463i | 0.407252 | − | 0.560534i | −0.555293 | − | 0.831654i | \(-0.687394\pi\) |
0.962546 | + | 0.271120i | \(0.0873941\pi\) | |||||||
\(942\) | 122.391 | + | 308.555i | 0.129927 | + | 0.327553i | ||||
\(943\) | −327.188 | −0.346966 | ||||||||
\(944\) | 223.895 | − | 72.7478i | 0.237176 | − | 0.0770633i | ||||
\(945\) | −611.263 | − | 150.799i | −0.646840 | − | 0.159576i | ||||
\(946\) | −49.7765 | + | 153.196i | −0.0526179 | + | 0.161941i | ||||
\(947\) | 734.823 | + | 238.758i | 0.775948 | + | 0.252121i | 0.670109 | − | 0.742262i | \(-0.266247\pi\) |
0.105839 | + | 0.994383i | \(0.466247\pi\) | |||||||
\(948\) | −51.4715 | − | 62.1384i | −0.0542948 | − | 0.0655469i | ||||
\(949\) | −3048.40 | −3.21223 | ||||||||
\(950\) | 167.328 | + | 404.632i | 0.176135 | + | 0.425929i | ||||
\(951\) | 1275.63 | − | 81.0645i | 1.34136 | − | 0.0852413i | ||||
\(952\) | −130.030 | + | 94.4725i | −0.136586 | + | 0.0992359i | ||||
\(953\) | −152.706 | − | 49.6172i | −0.160237 | − | 0.0520642i | 0.227800 | − | 0.973708i | \(-0.426847\pi\) |
−0.388037 | + | 0.921644i | \(0.626847\pi\) | |||||||
\(954\) | −206.115 | + | 1087.95i | −0.216054 | + | 1.14041i | ||||
\(955\) | 204.774 | − | 1725.82i | 0.214424 | − | 1.80714i | ||||
\(956\) | −478.788 | + | 155.568i | −0.500824 | + | 0.162728i | ||||
\(957\) | −19.1107 | − | 300.727i | −0.0199694 | − | 0.314239i | ||||
\(958\) | −342.523 | − | 1054.18i | −0.357540 | − | 1.10039i | ||||
\(959\) | 458.763 | − | 631.433i | 0.478376 | − | 0.658428i | ||||
\(960\) | −75.7307 | + | 93.0852i | −0.0788861 | + | 0.0969638i | ||||
\(961\) | −1559.12 | + | 1132.76i | −1.62239 | + | 1.17873i | ||||
\(962\) | 285.613 | − | 393.113i | 0.296895 | − | 0.408641i | ||||
\(963\) | −101.818 | + | 185.762i | −0.105730 | + | 0.192899i | ||||
\(964\) | −54.7880 | + | 39.8058i | −0.0568340 | + | 0.0412923i | ||||
\(965\) | −1226.10 | + | 686.182i | −1.27057 | + | 0.711070i | ||||
\(966\) | 136.007 | − | 214.612i | 0.140794 | − | 0.222165i | ||||
\(967\) | 142.320 | + | 438.017i | 0.147177 | + | 0.452965i | 0.997285 | − | 0.0736448i | \(-0.0234631\pi\) |
−0.850107 | + | 0.526609i | \(0.823463\pi\) | |||||||
\(968\) | 306.356i | 0.316483i | ||||||||
\(969\) | −166.921 | − | 420.819i | −0.172261 | − | 0.434281i | ||||
\(970\) | 322.573 | − | 348.754i | 0.332550 | − | 0.359540i | ||||
\(971\) | −882.638 | − | 286.786i | −0.908999 | − | 0.295352i | −0.183053 | − | 0.983103i | \(-0.558598\pi\) |
−0.725946 | + | 0.687752i | \(0.758598\pi\) | |||||||
\(972\) | 485.998 | − | 1.53397i | 0.499998 | − | 0.00157816i | ||||
\(973\) | −883.649 | + | 642.009i | −0.908170 | + | 0.659824i | ||||
\(974\) | 1010.21i | 1.03718i | ||||||||
\(975\) | −1672.63 | + | 238.134i | −1.71552 | + | 0.244240i | ||||
\(976\) | −295.501 | −0.302767 | ||||||||
\(977\) | −401.777 | − | 552.998i | −0.411235 | − | 0.566016i | 0.552284 | − | 0.833656i | \(-0.313756\pi\) |
−0.963519 | + | 0.267640i | \(0.913756\pi\) | |||||||
\(978\) | 154.711 | − | 604.144i | 0.158192 | − | 0.617734i | ||||
\(979\) | −102.000 | + | 313.923i | −0.104188 | + | 0.320656i | ||||
\(980\) | −53.0854 | − | 267.285i | −0.0541688 | − | 0.272740i | ||||
\(981\) | −271.570 | − | 575.229i | −0.276830 | − | 0.586370i | ||||
\(982\) | −887.501 | −0.903769 | ||||||||
\(983\) | −26.4273 | + | 8.58674i | −0.0268843 | + | 0.00873524i | −0.322428 | − | 0.946594i | \(-0.604499\pi\) |
0.295544 | + | 0.955329i | \(0.404499\pi\) | |||||||
\(984\) | −115.731 | + | 182.617i | −0.117612 | + | 0.185586i | ||||
\(985\) | −381.312 | + | 75.7322i | −0.387119 | + | 0.0768855i | ||||
\(986\) | −285.629 | − | 393.134i | −0.289684 | − | 0.398716i | ||||
\(987\) | −235.334 | − | 149.139i | −0.238433 | − | 0.151103i | ||||
\(988\) | −451.408 | − | 327.967i | −0.456891 | − | 0.331951i | ||||
\(989\) | −241.367 | − | 332.214i | −0.244052 | − | 0.335909i | ||||
\(990\) | 68.1411 | − | 216.190i | 0.0688294 | − | 0.218374i | ||||
\(991\) | 343.216 | + | 249.361i | 0.346333 | + | 0.251625i | 0.747329 | − | 0.664454i | \(-0.231336\pi\) |
−0.400996 | + | 0.916080i | \(0.631336\pi\) | |||||||
\(992\) | −289.130 | + | 93.9440i | −0.291462 | + | 0.0947016i | ||||
\(993\) | −59.5859 | − | 937.645i | −0.0600059 | − | 0.944255i | ||||
\(994\) | −228.981 | − | 704.730i | −0.230363 | − | 0.708984i | ||||
\(995\) | 593.516 | − | 332.158i | 0.596499 | − | 0.333827i | ||||
\(996\) | −130.304 | + | 508.835i | −0.130828 | + | 0.510878i | ||||
\(997\) | −256.672 | + | 789.957i | −0.257445 | + | 0.792334i | 0.735893 | + | 0.677097i | \(0.236762\pi\) |
−0.993338 | + | 0.115236i | \(0.963238\pi\) | |||||||
\(998\) | 298.159 | + | 410.381i | 0.298757 | + | 0.411203i | ||||
\(999\) | 77.9342 | + | 404.383i | 0.0780122 | + | 0.404788i |
(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 | 150.3.j.a.11.11 | yes | 80 | |
3.2 | odd | 2 | inner | 150.3.j.a.11.9 | ✓ | 80 | |
25.16 | even | 5 | inner | 150.3.j.a.41.9 | yes | 80 | |
75.41 | odd | 10 | inner | 150.3.j.a.41.11 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
150.3.j.a.11.9 | ✓ | 80 | 3.2 | odd | 2 | inner | |
150.3.j.a.11.11 | yes | 80 | 1.1 | even | 1 | trivial | |
150.3.j.a.41.9 | yes | 80 | 25.16 | even | 5 | inner | |
150.3.j.a.41.11 | yes | 80 | 75.41 | odd | 10 | inner |