Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [37,5,Mod(2,37)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(37, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("37.2");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 37 \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 37.i (of order \(36\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.82468863410\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 15.1 | ||
Character | \(\chi\) | \(=\) | 37.15 |
Dual form | 37.5.i.a.5.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/37\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{13}{36}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.29658 | − | 7.06954i | −0.824145 | − | 1.76738i | −0.613274 | − | 0.789870i | \(-0.710148\pi\) |
−0.210871 | − | 0.977514i | \(-0.567630\pi\) | |||||||
\(3\) | −3.57062 | − | 9.81021i | −0.396736 | − | 1.09002i | −0.963864 | − | 0.266394i | \(-0.914168\pi\) |
0.567128 | − | 0.823630i | \(-0.308054\pi\) | |||||||
\(4\) | −28.8263 | + | 34.3539i | −1.80164 | + | 2.14712i | ||||
\(5\) | 0.215509 | + | 0.307778i | 0.00862035 | + | 0.0123111i | 0.823439 | − | 0.567405i | \(-0.192052\pi\) |
−0.814819 | + | 0.579716i | \(0.803164\pi\) | |||||||
\(6\) | −57.5828 | + | 57.5828i | −1.59952 | + | 1.59952i | ||||
\(7\) | 11.8673 | − | 67.3028i | 0.242190 | − | 1.37353i | −0.584740 | − | 0.811221i | \(-0.698803\pi\) |
0.826930 | − | 0.562305i | \(-0.190085\pi\) | |||||||
\(8\) | 217.341 | + | 58.2363i | 3.39595 | + | 0.909942i | ||||
\(9\) | −21.4413 | + | 17.9914i | −0.264707 | + | 0.222115i | ||||
\(10\) | 1.46541 | − | 2.53816i | 0.0146541 | − | 0.0253816i | ||||
\(11\) | −109.303 | + | 63.1061i | −0.903330 | + | 0.521538i | −0.878279 | − | 0.478148i | \(-0.841308\pi\) |
−0.0250511 | + | 0.999686i | \(0.507975\pi\) | |||||||
\(12\) | 439.946 | + | 160.127i | 3.05518 | + | 1.11200i | ||||
\(13\) | −16.8507 | + | 1.47424i | −0.0997082 | + | 0.00872333i | −0.136901 | − | 0.990585i | \(-0.543714\pi\) |
0.0371925 | + | 0.999308i | \(0.488159\pi\) | |||||||
\(14\) | −514.921 | + | 137.973i | −2.62715 | + | 0.703942i | ||||
\(15\) | 2.24987 | − | 3.21315i | 0.00999942 | − | 0.0142807i | ||||
\(16\) | −180.179 | − | 1021.85i | −0.703825 | − | 3.99159i | ||||
\(17\) | −35.3549 | + | 404.109i | −0.122335 | + | 1.39830i | 0.648475 | + | 0.761236i | \(0.275407\pi\) |
−0.770810 | + | 0.637065i | \(0.780148\pi\) | |||||||
\(18\) | 197.873 | + | 92.2699i | 0.610720 | + | 0.284783i | ||||
\(19\) | −44.6604 | + | 95.7746i | −0.123713 | + | 0.265304i | −0.958404 | − | 0.285415i | \(-0.907869\pi\) |
0.834691 | + | 0.550719i | \(0.185646\pi\) | |||||||
\(20\) | −16.7857 | − | 1.46856i | −0.0419643 | − | 0.00367140i | ||||
\(21\) | −702.628 | + | 123.892i | −1.59326 | + | 0.280935i | ||||
\(22\) | 806.457 | + | 564.687i | 1.66623 | + | 1.16671i | ||||
\(23\) | −210.401 | − | 785.227i | −0.397733 | − | 1.48436i | −0.817074 | − | 0.576532i | \(-0.804406\pi\) |
0.419341 | − | 0.907829i | \(-0.362261\pi\) | |||||||
\(24\) | −204.732 | − | 2340.10i | −0.355438 | − | 4.06267i | ||||
\(25\) | 213.714 | − | 587.175i | 0.341943 | − | 0.939480i | ||||
\(26\) | 65.9718 | + | 114.267i | 0.0975914 | + | 0.169033i | ||||
\(27\) | −479.275 | − | 276.709i | −0.657441 | − | 0.379574i | ||||
\(28\) | 1970.02 | + | 2347.78i | 2.51278 | + | 2.99462i | ||||
\(29\) | −189.332 | + | 706.595i | −0.225127 | + | 0.840184i | 0.757227 | + | 0.653152i | \(0.226554\pi\) |
−0.982354 | + | 0.187033i | \(0.940113\pi\) | |||||||
\(30\) | −30.1323 | − | 5.31315i | −0.0334804 | − | 0.00590349i | ||||
\(31\) | −364.480 | − | 364.480i | −0.379272 | − | 0.379272i | 0.491568 | − | 0.870839i | \(-0.336424\pi\) |
−0.870839 | + | 0.491568i | \(0.836424\pi\) | |||||||
\(32\) | −3680.96 | + | 2577.44i | −3.59469 | + | 2.51703i | ||||
\(33\) | 1009.36 | + | 846.957i | 0.926872 | + | 0.777738i | ||||
\(34\) | 2973.41 | − | 1082.23i | 2.57216 | − | 0.936188i | ||||
\(35\) | 23.2719 | − | 10.8518i | 0.0189974 | − | 0.00885865i | ||||
\(36\) | − | 1255.21i | − | 0.968530i | ||||||
\(37\) | −1319.21 | − | 365.851i | −0.963630 | − | 0.267239i | ||||
\(38\) | 824.309 | 0.570851 | ||||||||
\(39\) | 74.6301 | + | 160.045i | 0.0490665 | + | 0.105223i | ||||
\(40\) | 28.9150 | + | 79.4433i | 0.0180719 | + | 0.0496520i | ||||
\(41\) | 521.120 | − | 621.047i | 0.310006 | − | 0.369451i | −0.588435 | − | 0.808544i | \(-0.700256\pi\) |
0.898441 | + | 0.439093i | \(0.144700\pi\) | |||||||
\(42\) | 3192.13 | + | 4558.83i | 1.80960 | + | 2.58437i | ||||
\(43\) | 1592.47 | − | 1592.47i | 0.861260 | − | 0.861260i | −0.130224 | − | 0.991485i | \(-0.541570\pi\) |
0.991485 | + | 0.130224i | \(0.0415697\pi\) | |||||||
\(44\) | 982.863 | − | 5574.09i | 0.507677 | − | 2.87918i | ||||
\(45\) | −10.1581 | − | 2.72186i | −0.00501636 | − | 0.00134413i | ||||
\(46\) | −4857.59 | + | 4076.00i | −2.29565 | + | 1.92628i | ||||
\(47\) | 430.013 | − | 744.805i | 0.194664 | − | 0.337168i | −0.752126 | − | 0.659019i | \(-0.770972\pi\) |
0.946790 | + | 0.321851i | \(0.104305\pi\) | |||||||
\(48\) | −9381.19 | + | 5416.23i | −4.07170 | + | 2.35079i | ||||
\(49\) | −2132.63 | − | 776.214i | −0.888226 | − | 0.323288i | ||||
\(50\) | −4855.58 | + | 424.808i | −1.94223 | + | 0.169923i | ||||
\(51\) | 4090.63 | − | 1096.08i | 1.57272 | − | 0.421408i | ||||
\(52\) | 435.097 | − | 621.383i | 0.160909 | − | 0.229801i | ||||
\(53\) | 52.7454 | + | 299.134i | 0.0187773 | + | 0.106491i | 0.992756 | − | 0.120149i | \(-0.0383371\pi\) |
−0.973979 | + | 0.226640i | \(0.927226\pi\) | |||||||
\(54\) | −376.240 | + | 4300.44i | −0.129026 | + | 1.47477i | ||||
\(55\) | −42.9785 | − | 20.0412i | −0.0142078 | − | 0.00662518i | ||||
\(56\) | 6498.71 | − | 13936.5i | 2.07229 | − | 4.44405i | ||||
\(57\) | 1099.03 | + | 96.1531i | 0.338269 | + | 0.0295947i | ||||
\(58\) | 5619.45 | − | 990.860i | 1.67047 | − | 0.294548i | ||||
\(59\) | 857.542 | + | 600.457i | 0.246349 | + | 0.172496i | 0.690230 | − | 0.723591i | \(-0.257510\pi\) |
−0.443880 | + | 0.896086i | \(0.646398\pi\) | |||||||
\(60\) | 45.5286 | + | 169.915i | 0.0126468 | + | 0.0471986i | ||||
\(61\) | −243.838 | − | 2787.08i | −0.0655303 | − | 0.749015i | −0.955884 | − | 0.293745i | \(-0.905098\pi\) |
0.890353 | − | 0.455270i | \(-0.150457\pi\) | |||||||
\(62\) | −1375.17 | + | 3778.24i | −0.357744 | + | 0.982893i | ||||
\(63\) | 956.418 | + | 1656.57i | 0.240972 | + | 0.417376i | ||||
\(64\) | 15978.3 | + | 9225.09i | 3.90096 | + | 2.25222i | ||||
\(65\) | −4.08521 | − | 4.86856i | −0.000966914 | − | 0.00115232i | ||||
\(66\) | 2660.14 | − | 9927.79i | 0.610685 | − | 2.27911i | ||||
\(67\) | 1046.00 | + | 184.438i | 0.233014 | + | 0.0410866i | 0.288936 | − | 0.957349i | \(-0.406699\pi\) |
−0.0559219 | + | 0.998435i | \(0.517810\pi\) | |||||||
\(68\) | −12863.5 | − | 12863.5i | −2.78191 | − | 2.78191i | ||||
\(69\) | −6951.98 | + | 4867.83i | −1.46019 | + | 1.02244i | ||||
\(70\) | −153.435 | − | 128.747i | −0.0313133 | − | 0.0262750i | ||||
\(71\) | −1368.95 | + | 498.256i | −0.271563 | + | 0.0988407i | −0.474212 | − | 0.880411i | \(-0.657267\pi\) |
0.202649 | + | 0.979251i | \(0.435045\pi\) | |||||||
\(72\) | −5707.81 | + | 2661.60i | −1.10104 | + | 0.513425i | ||||
\(73\) | − | 1802.59i | − | 0.338261i | −0.985594 | − | 0.169130i | \(-0.945904\pi\) | ||
0.985594 | − | 0.169130i | \(-0.0540959\pi\) | |||||||
\(74\) | 1762.48 | + | 10532.3i | 0.321856 | + | 1.92335i | ||||
\(75\) | −6523.41 | −1.15972 | ||||||||
\(76\) | −2002.83 | − | 4295.09i | −0.346751 | − | 0.743609i | ||||
\(77\) | 2950.09 | + | 8105.29i | 0.497569 | + | 1.36706i | ||||
\(78\) | 885.418 | − | 1055.20i | 0.145532 | − | 0.173439i | ||||
\(79\) | 577.899 | + | 825.326i | 0.0925972 | + | 0.132243i | 0.862778 | − | 0.505584i | \(-0.168723\pi\) |
−0.770180 | + | 0.637826i | \(0.779834\pi\) | |||||||
\(80\) | 275.672 | − | 275.672i | 0.0430738 | − | 0.0430738i | ||||
\(81\) | −1396.95 | + | 7922.52i | −0.212918 | + | 1.20752i | ||||
\(82\) | −6108.43 | − | 1636.75i | −0.908452 | − | 0.243419i | ||||
\(83\) | −632.530 | + | 530.756i | −0.0918174 | + | 0.0770440i | −0.687541 | − | 0.726146i | \(-0.741310\pi\) |
0.595724 | + | 0.803190i | \(0.296865\pi\) | |||||||
\(84\) | 15998.0 | − | 27709.3i | 2.26729 | − | 3.92706i | ||||
\(85\) | −131.995 | + | 76.2075i | −0.0182692 | + | 0.0105478i | ||||
\(86\) | −16507.7 | − | 6008.32i | −2.23198 | − | 0.812375i | ||||
\(87\) | 7607.88 | − | 665.603i | 1.00514 | − | 0.0879380i | ||||
\(88\) | −27431.1 | + | 7350.13i | −3.54223 | + | 0.949139i | ||||
\(89\) | 854.626 | − | 1220.53i | 0.107894 | − | 0.154088i | −0.761574 | − | 0.648078i | \(-0.775573\pi\) |
0.869468 | + | 0.493990i | \(0.164462\pi\) | |||||||
\(90\) | 14.2448 | + | 80.7861i | 0.00175861 | + | 0.00997360i | ||||
\(91\) | −100.751 | + | 1151.59i | −0.0121666 | + | 0.139064i | ||||
\(92\) | 33040.7 | + | 15407.1i | 3.90367 | + | 1.82031i | ||||
\(93\) | −2274.20 | + | 4877.05i | −0.262944 | + | 0.563886i | ||||
\(94\) | −6683.00 | − | 584.687i | −0.756338 | − | 0.0661710i | ||||
\(95\) | −39.1021 | + | 6.89475i | −0.00433264 | + | 0.000763961i | ||||
\(96\) | 38428.6 | + | 26908.0i | 4.16977 | + | 2.91970i | ||||
\(97\) | −776.071 | − | 2896.34i | −0.0824818 | − | 0.307826i | 0.912344 | − | 0.409425i | \(-0.134271\pi\) |
−0.994825 | + | 0.101599i | \(0.967604\pi\) | |||||||
\(98\) | 1542.91 | + | 17635.6i | 0.160653 | + | 1.83627i | ||||
\(99\) | 1208.23 | − | 3319.58i | 0.123276 | − | 0.338698i | ||||
\(100\) | 14011.1 | + | 24268.0i | 1.40111 | + | 2.42680i | ||||
\(101\) | −15794.4 | − | 9118.88i | −1.54832 | − | 0.893921i | −0.998271 | − | 0.0587859i | \(-0.981277\pi\) |
−0.550045 | − | 0.835135i | \(-0.685390\pi\) | |||||||
\(102\) | −21233.9 | − | 25305.6i | −2.04093 | − | 2.43229i | ||||
\(103\) | 2792.31 | − | 10421.0i | 0.263202 | − | 0.982282i | −0.700140 | − | 0.714005i | \(-0.746879\pi\) |
0.963342 | − | 0.268276i | \(-0.0864541\pi\) | |||||||
\(104\) | −3748.19 | − | 660.908i | −0.346542 | − | 0.0611046i | ||||
\(105\) | −189.554 | − | 189.554i | −0.0171931 | − | 0.0171931i | ||||
\(106\) | 1940.86 | − | 1359.01i | 0.172736 | − | 0.120951i | ||||
\(107\) | 6097.24 | + | 5116.19i | 0.532556 | + | 0.446868i | 0.868983 | − | 0.494842i | \(-0.164774\pi\) |
−0.336427 | + | 0.941710i | \(0.609218\pi\) | |||||||
\(108\) | 23321.7 | − | 8488.42i | 1.99946 | − | 0.727745i | ||||
\(109\) | 18425.9 | − | 8592.14i | 1.55087 | − | 0.723183i | 0.556672 | − | 0.830732i | \(-0.312078\pi\) |
0.994200 | + | 0.107549i | \(0.0343002\pi\) | |||||||
\(110\) | 369.905i | 0.0305707i | ||||||||
\(111\) | 1121.33 | + | 14248.0i | 0.0910097 | + | 1.15640i | ||||
\(112\) | −70911.4 | −5.65302 | ||||||||
\(113\) | 1032.58 | + | 2214.37i | 0.0808659 | + | 0.173418i | 0.942583 | − | 0.333971i | \(-0.108389\pi\) |
−0.861717 | + | 0.507388i | \(0.830611\pi\) | |||||||
\(114\) | −2943.30 | − | 8086.64i | −0.226477 | − | 0.622241i | ||||
\(115\) | 196.333 | − | 233.980i | 0.0148456 | − | 0.0176923i | ||||
\(116\) | −18816.5 | − | 26872.8i | −1.39838 | − | 1.99709i | ||||
\(117\) | 334.776 | − | 334.776i | 0.0244559 | − | 0.0244559i | ||||
\(118\) | 1418.00 | − | 8041.88i | 0.101839 | − | 0.577555i | ||||
\(119\) | 26778.1 | + | 7175.17i | 1.89097 | + | 0.506685i | ||||
\(120\) | 676.110 | − | 567.324i | 0.0469521 | − | 0.0393975i | ||||
\(121\) | 644.259 | − | 1115.89i | 0.0440037 | − | 0.0762167i | ||||
\(122\) | −18899.6 | + | 10911.7i | −1.26979 | + | 0.733114i | ||||
\(123\) | −7953.33 | − | 2894.78i | −0.525701 | − | 0.191339i | ||||
\(124\) | 23027.9 | − | 2014.68i | 1.49765 | − | 0.131028i | ||||
\(125\) | 453.606 | − | 121.543i | 0.0290308 | − | 0.00777877i | ||||
\(126\) | 8558.24 | − | 12222.4i | 0.539068 | − | 0.769869i | ||||
\(127\) | −774.273 | − | 4391.12i | −0.0480050 | − | 0.272250i | 0.951352 | − | 0.308106i | \(-0.0996953\pi\) |
−0.999357 | + | 0.0358563i | \(0.988584\pi\) | |||||||
\(128\) | 6276.98 | − | 71746.2i | 0.383116 | − | 4.37904i | ||||
\(129\) | −21308.6 | − | 9936.36i | −1.28049 | − | 0.597101i | ||||
\(130\) | −20.9513 | + | 44.9301i | −0.00123972 | + | 0.00265859i | ||||
\(131\) | 29210.1 | + | 2555.55i | 1.70212 | + | 0.148916i | 0.896361 | − | 0.443326i | \(-0.146202\pi\) |
0.805760 | + | 0.592242i | \(0.201757\pi\) | |||||||
\(132\) | −58192.5 | + | 10260.9i | −3.33979 | + | 0.588895i | ||||
\(133\) | 5915.90 | + | 4142.36i | 0.334439 | + | 0.234177i | ||||
\(134\) | −2144.33 | − | 8002.74i | −0.119421 | − | 0.445686i | ||||
\(135\) | −18.1227 | − | 207.144i | −0.000994388 | − | 0.0113659i | ||||
\(136\) | −31217.9 | + | 85770.4i | −1.68782 | + | 4.63724i | ||||
\(137\) | −12094.2 | − | 20947.7i | −0.644370 | − | 1.11608i | −0.984447 | − | 0.175684i | \(-0.943786\pi\) |
0.340077 | − | 0.940398i | \(-0.389547\pi\) | |||||||
\(138\) | 57331.0 | + | 33100.1i | 3.01045 | + | 1.73808i | ||||
\(139\) | 4888.47 | + | 5825.85i | 0.253013 | + | 0.301529i | 0.877569 | − | 0.479451i | \(-0.159164\pi\) |
−0.624555 | + | 0.780981i | \(0.714720\pi\) | |||||||
\(140\) | −298.039 | + | 1112.30i | −0.0152061 | + | 0.0567498i | ||||
\(141\) | −8842.11 | − | 1559.10i | −0.444752 | − | 0.0784217i | ||||
\(142\) | 8035.28 | + | 8035.28i | 0.398497 | + | 0.398497i | ||||
\(143\) | 1748.80 | − | 1224.52i | 0.0855198 | − | 0.0598816i | ||||
\(144\) | 22247.7 | + | 18668.0i | 1.07290 | + | 0.900272i | ||||
\(145\) | −258.277 | + | 94.0053i | −0.0122843 | + | 0.00447112i | ||||
\(146\) | −12743.5 | + | 5942.38i | −0.597836 | + | 0.278776i | ||||
\(147\) | 23693.1i | 1.09645i | ||||||||
\(148\) | 50596.3 | − | 34773.8i | 2.30991 | − | 1.58756i | ||||
\(149\) | 878.199 | 0.0395567 | 0.0197784 | − | 0.999804i | \(-0.493704\pi\) | ||||
0.0197784 | + | 0.999804i | \(0.493704\pi\) | |||||||
\(150\) | 21504.9 | + | 46117.5i | 0.955774 | + | 2.04966i | ||||
\(151\) | −10073.8 | − | 27677.6i | −0.441815 | − | 1.21388i | −0.938297 | − | 0.345831i | \(-0.887597\pi\) |
0.496481 | − | 0.868047i | \(-0.334625\pi\) | |||||||
\(152\) | −15284.1 | + | 18214.9i | −0.661534 | + | 0.788386i | ||||
\(153\) | −6512.41 | − | 9300.69i | −0.278201 | − | 0.397312i | ||||
\(154\) | 47575.5 | − | 47575.5i | 2.00605 | − | 2.00605i | ||||
\(155\) | 33.6305 | − | 190.728i | 0.00139981 | − | 0.00793872i | ||||
\(156\) | −7649.46 | − | 2049.67i | −0.314327 | − | 0.0842237i | ||||
\(157\) | 11197.9 | − | 9396.19i | 0.454296 | − | 0.381200i | −0.386731 | − | 0.922193i | \(-0.626396\pi\) |
0.841027 | + | 0.540993i | \(0.181951\pi\) | |||||||
\(158\) | 3929.58 | − | 6806.23i | 0.157410 | − | 0.272642i | ||||
\(159\) | 2746.24 | − | 1585.54i | 0.108628 | − | 0.0627167i | ||||
\(160\) | −1586.56 | − | 577.461i | −0.0619750 | − | 0.0225571i | ||||
\(161\) | −55344.9 | + | 4842.05i | −2.13514 | + | 0.186800i | ||||
\(162\) | 60613.7 | − | 16241.4i | 2.30962 | − | 0.618861i | ||||
\(163\) | −7675.61 | + | 10961.9i | −0.288894 | + | 0.412583i | −0.937198 | − | 0.348799i | \(-0.886590\pi\) |
0.648304 | + | 0.761381i | \(0.275479\pi\) | |||||||
\(164\) | 6313.39 | + | 35805.0i | 0.234733 | + | 1.33124i | ||||
\(165\) | −43.1483 | + | 493.187i | −0.00158488 | + | 0.0181152i | ||||
\(166\) | 5837.38 | + | 2722.02i | 0.211837 | + | 0.0987813i | ||||
\(167\) | 11068.7 | − | 23737.0i | 0.396885 | − | 0.851122i | −0.601740 | − | 0.798692i | \(-0.705526\pi\) |
0.998625 | − | 0.0524302i | \(-0.0166967\pi\) | |||||||
\(168\) | −159925. | − | 13991.6i | −5.66627 | − | 0.495734i | ||||
\(169\) | −27845.3 | + | 4909.88i | −0.974942 | + | 0.171909i | ||||
\(170\) | 973.885 | + | 681.922i | 0.0336984 | + | 0.0235959i | ||||
\(171\) | −765.539 | − | 2857.03i | −0.0261803 | − | 0.0977063i | ||||
\(172\) | 8802.46 | + | 100613.i | 0.297541 | + | 3.40091i | ||||
\(173\) | −15488.4 | + | 42554.1i | −0.517506 | + | 1.42184i | 0.355754 | + | 0.934580i | \(0.384224\pi\) |
−0.873259 | + | 0.487256i | \(0.837998\pi\) | |||||||
\(174\) | −29785.5 | − | 51590.0i | −0.983798 | − | 1.70399i | ||||
\(175\) | −36982.3 | − | 21351.8i | −1.20759 | − | 0.697200i | ||||
\(176\) | 84178.9 | + | 100321.i | 2.71755 | + | 3.23865i | ||||
\(177\) | 2828.65 | − | 10556.7i | 0.0902886 | − | 0.336962i | ||||
\(178\) | −11445.9 | − | 2018.23i | −0.361253 | − | 0.0636987i | ||||
\(179\) | 5544.47 | + | 5544.47i | 0.173043 | + | 0.173043i | 0.788315 | − | 0.615272i | \(-0.210954\pi\) |
−0.615272 | + | 0.788315i | \(0.710954\pi\) | |||||||
\(180\) | 386.328 | − | 270.510i | 0.0119237 | − | 0.00834907i | ||||
\(181\) | 24576.2 | + | 20621.9i | 0.750166 | + | 0.629464i | 0.935547 | − | 0.353203i | \(-0.114907\pi\) |
−0.185381 | + | 0.982667i | \(0.559352\pi\) | |||||||
\(182\) | 8473.36 | − | 3084.05i | 0.255807 | − | 0.0931063i | ||||
\(183\) | −26471.2 | + | 12343.7i | −0.790445 | + | 0.368591i | ||||
\(184\) | − | 182915.i | − | 5.40273i | ||||||
\(185\) | −171.700 | − | 484.868i | −0.00501681 | − | 0.0141671i | ||||
\(186\) | 41975.6 | 1.21331 | ||||||||
\(187\) | −21637.3 | − | 46401.4i | −0.618758 | − | 1.32693i | ||||
\(188\) | 13191.2 | + | 36242.6i | 0.373224 | + | 1.02542i | ||||
\(189\) | −24311.0 | + | 28972.7i | −0.680580 | + | 0.811084i | ||||
\(190\) | 177.646 | + | 253.705i | 0.00492094 | + | 0.00702783i | ||||
\(191\) | −36868.9 | + | 36868.9i | −1.01063 | + | 1.01063i | −0.0106891 | + | 0.999943i | \(0.503402\pi\) |
−0.999943 | + | 0.0106891i | \(0.996598\pi\) | |||||||
\(192\) | 33447.5 | − | 189690.i | 0.907321 | − | 5.14567i | ||||
\(193\) | −15841.1 | − | 4244.61i | −0.425276 | − | 0.113952i | 0.0398320 | − | 0.999206i | \(-0.487318\pi\) |
−0.465108 | + | 0.885254i | \(0.653984\pi\) | |||||||
\(194\) | −17917.4 | + | 15034.5i | −0.476070 | + | 0.399470i | ||||
\(195\) | −33.1749 | + | 57.4606i | −0.000872449 | + | 0.00151113i | ||||
\(196\) | 88141.8 | − | 50888.7i | 2.29440 | − | 1.32467i | ||||
\(197\) | 67458.7 | + | 24553.0i | 1.73822 | + | 0.632661i | 0.999160 | − | 0.0409755i | \(-0.0130466\pi\) |
0.739063 | + | 0.673637i | \(0.235269\pi\) | |||||||
\(198\) | −27450.9 | + | 2401.65i | −0.700207 | + | 0.0612602i | ||||
\(199\) | 64372.7 | − | 17248.6i | 1.62553 | − | 0.435560i | 0.672913 | − | 0.739722i | \(-0.265043\pi\) |
0.952621 | + | 0.304161i | \(0.0983762\pi\) | |||||||
\(200\) | 80643.7 | − | 115171.i | 2.01609 | − | 2.87928i | ||||
\(201\) | −1925.49 | − | 10920.0i | −0.0476596 | − | 0.270291i | ||||
\(202\) | −12398.9 | + | 141720.i | −0.303865 | + | 3.47319i | ||||
\(203\) | 45309.0 | + | 21127.9i | 1.09949 | + | 0.512702i | ||||
\(204\) | −80263.2 | + | 172125.i | −1.92866 | + | 4.13603i | ||||
\(205\) | 303.451 | + | 26.5485i | 0.00722073 | + | 0.000631732i | ||||
\(206\) | −82876.9 | + | 14613.4i | −1.95299 | + | 0.344364i | ||||
\(207\) | 18638.6 | + | 13050.9i | 0.434982 | + | 0.304578i | ||||
\(208\) | 4542.60 | + | 16953.2i | 0.104997 | + | 0.391855i | ||||
\(209\) | −1162.44 | − | 13286.8i | −0.0266121 | − | 0.304178i | ||||
\(210\) | −715.179 | + | 1964.94i | −0.0162172 | + | 0.0445564i | ||||
\(211\) | −22370.7 | − | 38747.2i | −0.502475 | − | 0.870312i | −0.999996 | − | 0.00286040i | \(-0.999090\pi\) |
0.497521 | − | 0.867452i | \(-0.334244\pi\) | |||||||
\(212\) | −11796.9 | − | 6810.93i | −0.262479 | − | 0.151543i | ||||
\(213\) | 9776.00 | + | 11650.6i | 0.215477 | + | 0.256796i | ||||
\(214\) | 16069.1 | − | 59970.6i | 0.350884 | − | 1.30952i | ||||
\(215\) | 833.320 | + | 146.937i | 0.0180275 | + | 0.00317873i | ||||
\(216\) | −88051.4 | − | 88051.4i | −1.88725 | − | 1.88725i | ||||
\(217\) | −28855.9 | + | 20205.1i | −0.612795 | + | 0.429084i | ||||
\(218\) | −121485. | − | 101938.i | −2.55629 | − | 2.14498i | ||||
\(219\) | −17683.8 | + | 6436.38i | −0.368712 | + | 0.134200i | ||||
\(220\) | 1927.40 | − | 898.762i | 0.0398224 | − | 0.0185695i | ||||
\(221\) | − | 6861.63i | − | 0.140489i | ||||||
\(222\) | 97030.5 | − | 54897.1i | 1.96880 | − | 1.11389i | ||||
\(223\) | 78920.5 | 1.58701 | 0.793505 | − | 0.608563i | \(-0.208254\pi\) | ||||
0.793505 | + | 0.608563i | \(0.208254\pi\) | |||||||
\(224\) | 129786. | + | 278326.i | 2.58661 | + | 5.54700i | ||||
\(225\) | 5981.77 | + | 16434.8i | 0.118158 | + | 0.324638i | ||||
\(226\) | 12250.6 | − | 14599.7i | 0.239850 | − | 0.285842i | ||||
\(227\) | −38898.4 | − | 55552.7i | −0.754884 | − | 1.07809i | −0.994242 | − | 0.107154i | \(-0.965826\pi\) |
0.239359 | − | 0.970931i | \(-0.423063\pi\) | |||||||
\(228\) | −34984.3 | + | 34984.3i | −0.672983 | + | 0.672983i | ||||
\(229\) | −7043.99 | + | 39948.5i | −0.134322 | + | 0.761779i | 0.841007 | + | 0.541024i | \(0.181963\pi\) |
−0.975329 | + | 0.220755i | \(0.929148\pi\) | |||||||
\(230\) | −2301.36 | − | 616.647i | −0.0435039 | − | 0.0116568i | ||||
\(231\) | 68981.0 | − | 57881.9i | 1.29272 | − | 1.08472i | ||||
\(232\) | −82298.9 | + | 142546.i | −1.52904 | + | 2.64837i | ||||
\(233\) | −29937.0 | + | 17284.1i | −0.551437 | + | 0.318372i | −0.749701 | − | 0.661776i | \(-0.769803\pi\) |
0.198264 | + | 0.980149i | \(0.436470\pi\) | |||||||
\(234\) | −3470.33 | − | 1263.10i | −0.0633780 | − | 0.0230677i | ||||
\(235\) | 321.907 | − | 28.1632i | 0.00582900 | − | 0.000509972i | ||||
\(236\) | −45347.8 | + | 12150.9i | −0.814202 | + | 0.218165i | ||||
\(237\) | 6033.16 | − | 8616.24i | 0.107411 | − | 0.153399i | ||||
\(238\) | −37551.0 | − | 212962.i | −0.662929 | − | 3.75966i | ||||
\(239\) | 2963.16 | − | 33869.1i | 0.0518752 | − | 0.592936i | −0.925120 | − | 0.379675i | \(-0.876036\pi\) |
0.976995 | − | 0.213261i | \(-0.0684086\pi\) | |||||||
\(240\) | −3688.73 | − | 1720.08i | −0.0640404 | − | 0.0298625i | ||||
\(241\) | 29759.0 | − | 63818.3i | 0.512370 | − | 1.09878i | −0.464623 | − | 0.885509i | \(-0.653810\pi\) |
0.976993 | − | 0.213272i | \(-0.0684121\pi\) | |||||||
\(242\) | −10012.7 | − | 875.995i | −0.170970 | − | 0.0149579i | ||||
\(243\) | 38563.7 | − | 6799.82i | 0.653080 | − | 0.115156i | ||||
\(244\) | 102776. | + | 71964.6i | 1.72628 | + | 1.20876i | ||||
\(245\) | −220.699 | − | 823.659i | −0.00367678 | − | 0.0137219i | ||||
\(246\) | 5754.06 | + | 65769.2i | 0.0950833 | + | 1.08681i | ||||
\(247\) | 611.364 | − | 1679.71i | 0.0100209 | − | 0.0275321i | ||||
\(248\) | −57990.4 | − | 100442.i | −0.942872 | − | 1.63310i | ||||
\(249\) | 7465.35 | + | 4310.12i | 0.120407 | + | 0.0695170i | ||||
\(250\) | −2354.60 | − | 2806.10i | −0.0376736 | − | 0.0448977i | ||||
\(251\) | −6856.14 | + | 25587.5i | −0.108826 | + | 0.406144i | −0.998751 | − | 0.0499627i | \(-0.984090\pi\) |
0.889925 | + | 0.456107i | \(0.150756\pi\) | |||||||
\(252\) | −84479.4 | − | 14896.0i | −1.33030 | − | 0.234568i | ||||
\(253\) | 72550.1 | + | 72550.1i | 1.13344 | + | 1.13344i | ||||
\(254\) | −28490.7 | + | 19949.4i | −0.441607 | + | 0.309217i | ||||
\(255\) | 1218.92 | + | 1022.79i | 0.0187454 | + | 0.0157292i | ||||
\(256\) | −250505. | + | 91176.2i | −3.82240 | + | 1.39124i | ||||
\(257\) | 86925.6 | − | 40534.1i | 1.31608 | − | 0.613697i | 0.367436 | − | 0.930049i | \(-0.380236\pi\) |
0.948642 | + | 0.316352i | \(0.102458\pi\) | |||||||
\(258\) | 183398.i | 2.75521i | ||||||||
\(259\) | −40278.2 | + | 84444.8i | −0.600442 | + | 1.25885i | ||||
\(260\) | 285.015 | 0.00421621 | ||||||||
\(261\) | −8653.09 | − | 18556.6i | −0.127025 | − | 0.272407i | ||||
\(262\) | −78226.8 | − | 214926.i | −1.13960 | − | 3.13103i | ||||
\(263\) | −10076.3 | + | 12008.4i | −0.145676 | + | 0.173610i | −0.833948 | − | 0.551842i | \(-0.813925\pi\) |
0.688272 | + | 0.725452i | \(0.258369\pi\) | |||||||
\(264\) | 170052. | + | 242860.i | 2.43991 | + | 3.48456i | ||||
\(265\) | −80.7000 | + | 80.7000i | −0.00114916 | + | 0.00114916i | ||||
\(266\) | 9782.32 | − | 55478.3i | 0.138254 | − | 0.784079i | ||||
\(267\) | −15025.2 | − | 4026.00i | −0.210765 | − | 0.0564743i | ||||
\(268\) | −36488.4 | + | 30617.4i | −0.508025 | + | 0.426284i | ||||
\(269\) | 10159.3 | − | 17596.5i | 0.140398 | − | 0.243176i | −0.787249 | − | 0.616636i | \(-0.788495\pi\) |
0.927647 | + | 0.373459i | \(0.121828\pi\) | |||||||
\(270\) | −1404.67 | + | 810.985i | −0.0192684 | + | 0.0111246i | ||||
\(271\) | −69159.0 | − | 25171.8i | −0.941695 | − | 0.342749i | −0.174860 | − | 0.984593i | \(-0.555947\pi\) |
−0.766835 | + | 0.641844i | \(0.778170\pi\) | |||||||
\(272\) | 419308. | − | 36684.7i | 5.66755 | − | 0.495846i | ||||
\(273\) | 11657.1 | − | 3123.51i | 0.156410 | − | 0.0419100i | ||||
\(274\) | −108221. | + | 154556.i | −1.44149 | + | 2.05866i | ||||
\(275\) | 13694.7 | + | 77666.7i | 0.181087 | + | 1.02700i | ||||
\(276\) | 33171.2 | − | 379149.i | 0.435455 | − | 4.97727i | ||||
\(277\) | −41424.3 | − | 19316.4i | −0.539877 | − | 0.251749i | 0.133499 | − | 0.991049i | \(-0.457379\pi\) |
−0.673376 | + | 0.739300i | \(0.735157\pi\) | |||||||
\(278\) | 25070.8 | − | 53764.6i | 0.324399 | − | 0.695675i | ||||
\(279\) | 14372.4 | + | 1257.42i | 0.184638 | + | 0.0161537i | ||||
\(280\) | 5689.90 | − | 1003.28i | 0.0725752 | − | 0.0127970i | ||||
\(281\) | 52381.6 | + | 36678.0i | 0.663386 | + | 0.464508i | 0.856143 | − | 0.516739i | \(-0.172854\pi\) |
−0.192757 | + | 0.981246i | \(0.561743\pi\) | |||||||
\(282\) | 18126.6 | + | 67649.3i | 0.227939 | + | 0.850678i | ||||
\(283\) | 11349.9 | + | 129730.i | 0.141716 | + | 1.61982i | 0.650901 | + | 0.759162i | \(0.274391\pi\) |
−0.509185 | + | 0.860657i | \(0.670053\pi\) | |||||||
\(284\) | 22344.7 | − | 61391.5i | 0.277037 | − | 0.761153i | ||||
\(285\) | 207.258 | + | 358.981i | 0.00255165 | + | 0.00441959i | ||||
\(286\) | −14421.8 | − | 8326.45i | −0.176315 | − | 0.101795i | ||||
\(287\) | −35613.9 | − | 42443.0i | −0.432370 | − | 0.515279i | ||||
\(288\) | 32552.9 | − | 121489.i | 0.392468 | − | 1.46471i | ||||
\(289\) | −79801.9 | − | 14071.2i | −0.955471 | − | 0.168475i | ||||
\(290\) | 1516.01 | + | 1516.01i | 0.0180262 | + | 0.0180262i | ||||
\(291\) | −25642.6 | + | 17955.2i | −0.302814 | + | 0.212033i | ||||
\(292\) | 61926.0 | + | 51962.0i | 0.726285 | + | 0.609425i | ||||
\(293\) | 103094. | − | 37523.0i | 1.20087 | − | 0.437081i | 0.337343 | − | 0.941382i | \(-0.390472\pi\) |
0.863528 | + | 0.504300i | \(0.168250\pi\) | |||||||
\(294\) | 167499. | − | 78106.3i | 1.93784 | − | 0.903631i | ||||
\(295\) | 393.337i | 0.00451981i | ||||||||
\(296\) | −265412. | − | 156340.i | −3.02927 | − | 1.78438i | ||||
\(297\) | 69848.2 | 0.791849 | ||||||||
\(298\) | −2895.05 | − | 6208.46i | −0.0326005 | − | 0.0699119i | ||||
\(299\) | 4703.01 | + | 12921.4i | 0.0526058 | + | 0.144533i | ||||
\(300\) | 188046. | − | 224104.i | 2.08940 | − | 2.49005i | ||||
\(301\) | −88279.4 | − | 126076.i | −0.974375 | − | 1.39155i | ||||
\(302\) | −162459. | + | 162459.i | −1.78127 | + | 1.78127i | ||||
\(303\) | −33062.4 | + | 187506.i | −0.360122 | + | 2.04235i | ||||
\(304\) | 105914. | + | 28379.6i | 1.14606 | + | 0.307085i | ||||
\(305\) | 805.255 | − | 675.689i | 0.00865633 | − | 0.00726353i | ||||
\(306\) | −44282.9 | + | 76700.2i | −0.472926 | + | 0.819131i | ||||
\(307\) | −47985.8 | + | 27704.6i | −0.509139 | + | 0.293951i | −0.732480 | − | 0.680789i | \(-0.761637\pi\) |
0.223341 | + | 0.974740i | \(0.428304\pi\) | |||||||
\(308\) | −363488. | − | 132299.i | −3.83168 | − | 1.39462i | ||||
\(309\) | −112203. | + | 9816.47i | −1.17513 | + | 0.102811i | ||||
\(310\) | −1459.22 | + | 390.997i | −0.0151844 | + | 0.00406865i | ||||
\(311\) | 26584.4 | − | 37966.4i | 0.274856 | − | 0.392536i | −0.657864 | − | 0.753137i | \(-0.728540\pi\) |
0.932720 | + | 0.360602i | \(0.117429\pi\) | |||||||
\(312\) | 6899.75 | + | 39130.4i | 0.0708801 | + | 0.401981i | ||||
\(313\) | −7754.41 | + | 88633.3i | −0.0791517 | + | 0.904708i | 0.847994 | + | 0.530006i | \(0.177810\pi\) |
−0.927145 | + | 0.374702i | \(0.877745\pi\) | |||||||
\(314\) | −103342. | − | 48189.0i | −1.04813 | − | 0.488752i | ||||
\(315\) | −303.739 | + | 651.369i | −0.00306111 | + | 0.00656457i | ||||
\(316\) | −45011.8 | − | 3938.02i | −0.450767 | − | 0.0394370i | ||||
\(317\) | 49724.2 | − | 8767.73i | 0.494823 | − | 0.0872506i | 0.0793325 | − | 0.996848i | \(-0.474721\pi\) |
0.415490 | + | 0.909598i | \(0.363610\pi\) | |||||||
\(318\) | −20262.2 | − | 14187.8i | −0.200370 | − | 0.140301i | ||||
\(319\) | −23896.0 | − | 89180.9i | −0.234824 | − | 0.876376i | ||||
\(320\) | 604.186 | + | 6905.87i | 0.00590025 | + | 0.0674402i | ||||
\(321\) | 28420.0 | − | 78083.2i | 0.275812 | − | 0.757787i | ||||
\(322\) | 216680. | + | 375300.i | 2.08981 | + | 3.61965i | ||||
\(323\) | −37124.4 | − | 21433.8i | −0.355840 | − | 0.205444i | ||||
\(324\) | −231900. | − | 276368.i | −2.20908 | − | 2.63268i | ||||
\(325\) | −2735.59 | + | 10209.4i | −0.0258991 | + | 0.0966567i | ||||
\(326\) | 102799. | + | 18126.2i | 0.967282 | + | 0.170558i | ||||
\(327\) | −150083. | − | 150083.i | −1.40357 | − | 1.40357i | ||||
\(328\) | 149428. | − | 104631.i | 1.38894 | − | 0.972550i | ||||
\(329\) | −45024.4 | − | 37779.9i | −0.415964 | − | 0.349035i | ||||
\(330\) | 3628.85 | − | 1320.79i | 0.0333227 | − | 0.0121285i | ||||
\(331\) | −101828. | + | 47483.2i | −0.929419 | + | 0.433395i | −0.827543 | − | 0.561402i | \(-0.810262\pi\) |
−0.101876 | + | 0.994797i | \(0.532484\pi\) | |||||||
\(332\) | − | 37029.6i | − | 0.335948i | ||||||
\(333\) | 34867.7 | − | 15890.1i | 0.314438 | − | 0.143297i | ||||
\(334\) | −204298. | −1.83135 | ||||||||
\(335\) | 168.656 | + | 361.684i | 0.00150284 | + | 0.00322284i | ||||
\(336\) | 253198. | + | 695656.i | 2.24276 | + | 6.16192i | ||||
\(337\) | 17511.8 | − | 20869.8i | 0.154196 | − | 0.183763i | −0.683416 | − | 0.730029i | \(-0.739507\pi\) |
0.837612 | + | 0.546266i | \(0.183951\pi\) | |||||||
\(338\) | 126505. | + | 180668.i | 1.10732 | + | 1.58142i | ||||
\(339\) | 18036.5 | − | 18036.5i | 0.156947 | − | 0.156947i | ||||
\(340\) | 1186.92 | − | 6731.33i | 0.0102674 | − | 0.0582295i | ||||
\(341\) | 62839.7 | + | 16837.8i | 0.540412 | + | 0.144803i | ||||
\(342\) | −17674.2 | + | 14830.4i | −0.151108 | + | 0.126795i | ||||
\(343\) | 4493.48 | − | 7782.94i | 0.0381940 | − | 0.0661539i | ||||
\(344\) | 438848. | − | 253369.i | 3.70849 | − | 2.14110i | ||||
\(345\) | −2996.43 | − | 1090.61i | −0.0251748 | − | 0.00916286i | ||||
\(346\) | 351897. | − | 30787.0i | 2.93943 | − | 0.257167i | ||||
\(347\) | −214.622 | + | 57.5078i | −0.00178244 | + | 0.000477604i | −0.259710 | − | 0.965687i | \(-0.583627\pi\) |
0.257928 | + | 0.966164i | \(0.416960\pi\) | |||||||
\(348\) | −196441. | + | 280547.i | −1.62209 | + | 2.31658i | ||||
\(349\) | 23897.1 | + | 135527.i | 0.196198 | + | 1.11269i | 0.910703 | + | 0.413063i | \(0.135541\pi\) |
−0.714505 | + | 0.699631i | \(0.753348\pi\) | |||||||
\(350\) | −29031.9 | + | 331836.i | −0.236995 | + | 2.70886i | ||||
\(351\) | 8484.04 | + | 3956.17i | 0.0688634 | + | 0.0321115i | ||||
\(352\) | 239688. | − | 514013.i | 1.93447 | − | 4.14848i | ||||
\(353\) | 115825. | + | 10133.4i | 0.929506 | + | 0.0813212i | 0.541843 | − | 0.840480i | \(-0.317727\pi\) |
0.387663 | + | 0.921801i | \(0.373282\pi\) | |||||||
\(354\) | −83955.6 | + | 14803.6i | −0.669952 | + | 0.118131i | ||||
\(355\) | −448.373 | − | 313.954i | −0.00355781 | − | 0.00249120i | ||||
\(356\) | 17294.3 | + | 64543.1i | 0.136459 | + | 0.509272i | ||||
\(357\) | −25224.6 | − | 288318.i | −0.197919 | − | 2.26223i | ||||
\(358\) | 20919.0 | − | 57474.6i | 0.163221 | − | 0.448446i | ||||
\(359\) | 25753.8 | + | 44607.0i | 0.199827 | + | 0.346110i | 0.948472 | − | 0.316861i | \(-0.102629\pi\) |
−0.748645 | + | 0.662971i | \(0.769295\pi\) | |||||||
\(360\) | −2049.27 | − | 1183.14i | −0.0158122 | − | 0.00912920i | ||||
\(361\) | 76590.5 | + | 91277.0i | 0.587707 | + | 0.700401i | ||||
\(362\) | 64769.7 | − | 241724.i | 0.494259 | − | 1.84460i | ||||
\(363\) | −13247.5 | − | 2335.89i | −0.100536 | − | 0.0177272i | ||||
\(364\) | −36657.4 | − | 36657.4i | −0.276668 | − | 0.276668i | ||||
\(365\) | 554.799 | − | 388.474i | 0.00416437 | − | 0.00291593i | ||||
\(366\) | 174529. | + | 146447.i | 1.30288 | + | 1.09325i | ||||
\(367\) | −200752. | + | 73067.6i | −1.49048 | + | 0.542491i | −0.953577 | − | 0.301150i | \(-0.902629\pi\) |
−0.536906 | + | 0.843642i | \(0.680407\pi\) | |||||||
\(368\) | −764472. | + | 356479.i | −5.64503 | + | 2.63232i | ||||
\(369\) | 22691.7i | 0.166653i | ||||||||
\(370\) | −2861.77 | + | 2812.25i | −0.0209041 | + | 0.0205424i | ||||
\(371\) | 20758.5 | 0.150816 | ||||||||
\(372\) | −101988. | − | 218715.i | −0.736996 | − | 1.58049i | ||||
\(373\) | 3982.12 | + | 10940.8i | 0.0286218 | + | 0.0786377i | 0.953181 | − | 0.302402i | \(-0.0977884\pi\) |
−0.924559 | + | 0.381039i | \(0.875566\pi\) | |||||||
\(374\) | −256707. | + | 305932.i | −1.83525 | + | 2.18716i | ||||
\(375\) | −2812.02 | − | 4015.98i | −0.0199966 | − | 0.0285581i | ||||
\(376\) | 136834. | − | 136834.i | 0.967874 | − | 0.967874i | ||||
\(377\) | 2148.67 | − | 12185.7i | 0.0151178 | − | 0.0857371i | ||||
\(378\) | 284967. | + | 76356.6i | 1.99439 | + | 0.534396i | ||||
\(379\) | −23939.3 | + | 20087.4i | −0.166660 | + | 0.139845i | −0.722303 | − | 0.691576i | \(-0.756917\pi\) |
0.555643 | + | 0.831421i | \(0.312472\pi\) | |||||||
\(380\) | 890.307 | − | 1542.06i | 0.00616556 | − | 0.0106791i | ||||
\(381\) | −40313.2 | + | 23274.8i | −0.277714 | + | 0.160338i | ||||
\(382\) | 382187. | + | 139105.i | 2.61908 | + | 0.953268i | ||||
\(383\) | −187792. | + | 16429.7i | −1.28021 | + | 0.112003i | −0.706885 | − | 0.707328i | \(-0.749900\pi\) |
−0.573320 | + | 0.819332i | \(0.694345\pi\) | |||||||
\(384\) | −726258. | + | 194600.i | −4.92525 | + | 1.31972i | ||||
\(385\) | −1858.87 | + | 2654.73i | −0.0125408 | + | 0.0179102i | ||||
\(386\) | 22214.0 | + | 125982.i | 0.149091 | + | 0.845539i | ||||
\(387\) | −5493.88 | + | 62795.3i | −0.0366823 | + | 0.419281i | ||||
\(388\) | 121872. | + | 56829.7i | 0.809542 | + | 0.377495i | ||||
\(389\) | 37481.3 | − | 80378.9i | 0.247694 | − | 0.531181i | −0.742672 | − | 0.669655i | \(-0.766442\pi\) |
0.990366 | + | 0.138474i | \(0.0442197\pi\) | |||||||
\(390\) | 515.583 | + | 45.1077i | 0.00338977 | + | 0.000296566i | ||||
\(391\) | 324756. | − | 57263.2i | 2.12424 | − | 0.374561i | ||||
\(392\) | −418304. | − | 292899.i | −2.72220 | − | 1.90610i | ||||
\(393\) | −79227.8 | − | 295682.i | −0.512970 | − | 1.91443i | ||||
\(394\) | −48804.9 | − | 557842.i | −0.314392 | − | 3.59351i | ||||
\(395\) | −129.475 | + | 355.730i | −0.000829836 | + | 0.00227995i | ||||
\(396\) | 79211.7 | + | 137199.i | 0.505125 | + | 0.874902i | ||||
\(397\) | −164298. | − | 94857.5i | −1.04244 | − | 0.601853i | −0.121917 | − | 0.992540i | \(-0.538904\pi\) |
−0.920524 | + | 0.390687i | \(0.872238\pi\) | |||||||
\(398\) | −334150. | − | 398224.i | −2.10948 | − | 2.51398i | ||||
\(399\) | 19513.9 | − | 72827.0i | 0.122574 | − | 0.457453i | ||||
\(400\) | −638511. | − | 112587.i | −3.99069 | − | 0.703666i | ||||
\(401\) | 68661.8 | + | 68661.8i | 0.426998 | + | 0.426998i | 0.887605 | − | 0.460606i | \(-0.152368\pi\) |
−0.460606 | + | 0.887605i | \(0.652368\pi\) | |||||||
\(402\) | −70851.9 | + | 49611.1i | −0.438429 | + | 0.306991i | ||||
\(403\) | 6679.07 | + | 5604.40i | 0.0411250 | + | 0.0345080i | ||||
\(404\) | 768562. | − | 279734.i | 4.70887 | − | 1.71389i | ||||
\(405\) | −2739.44 | + | 1277.42i | −0.0167013 | + | 0.00778796i | ||||
\(406\) | − | 389963.i | − | 2.36576i | ||||||
\(407\) | 167281. | − | 43261.6i | 1.00985 | − | 0.261164i | ||||
\(408\) | 952893. | 5.72432 | ||||||||
\(409\) | 100323. | + | 215144.i | 0.599729 | + | 1.28612i | 0.938508 | + | 0.345258i | \(0.112208\pi\) |
−0.338779 | + | 0.940866i | \(0.610014\pi\) | |||||||
\(410\) | −812.664 | − | 2232.78i | −0.00483441 | − | 0.0132824i | ||||
\(411\) | −162318. | + | 193443.i | −0.960910 | + | 1.14517i | ||||
\(412\) | 277511. | + | 396326.i | 1.63488 | + | 2.33485i | ||||
\(413\) | 50589.1 | − | 50589.1i | 0.296591 | − | 0.296591i | ||||
\(414\) | 30820.0 | − | 174789.i | 0.179818 | − | 1.01980i | ||||
\(415\) | −299.671 | − | 80.2966i | −0.00174000 | − | 0.000466231i | ||||
\(416\) | 58227.0 | − | 48858.2i | 0.336463 | − | 0.282326i | ||||
\(417\) | 39697.9 | − | 68758.8i | 0.228295 | − | 0.395418i | ||||
\(418\) | −90099.4 | + | 52018.9i | −0.515667 | + | 0.297720i | ||||
\(419\) | −210058. | − | 76454.9i | −1.19650 | − | 0.435489i | −0.334496 | − | 0.942397i | \(-0.608566\pi\) |
−0.862000 | + | 0.506908i | \(0.830788\pi\) | |||||||
\(420\) | 11976.1 | − | 1047.77i | 0.0678914 | − | 0.00593973i | ||||
\(421\) | 35733.2 | − | 9574.69i | 0.201608 | − | 0.0540207i | −0.156602 | − | 0.987662i | \(-0.550054\pi\) |
0.358210 | + | 0.933641i | \(0.383387\pi\) | |||||||
\(422\) | −200178. | + | 285884.i | −1.12406 | + | 1.60533i | ||||
\(423\) | 4180.02 | + | 23706.1i | 0.0233613 | + | 0.132489i | ||||
\(424\) | −5956.73 | + | 68085.8i | −0.0331342 | + | 0.378726i | ||||
\(425\) | 229727. | + | 107123.i | 1.27184 | + | 0.593071i | ||||
\(426\) | 50136.8 | − | 107519.i | 0.276273 | − | 0.592468i | ||||
\(427\) | −190472. | − | 16664.2i | −1.04466 | − | 0.0913961i | ||||
\(428\) | −351522. | + | 61982.8i | −1.91895 | + | 0.338363i | ||||
\(429\) | −18257.1 | − | 12783.7i | −0.0992012 | − | 0.0694614i | ||||
\(430\) | −1708.33 | − | 6375.57i | −0.00923921 | − | 0.0344812i | ||||
\(431\) | −23177.8 | − | 264924.i | −0.124772 | − | 1.42615i | −0.758034 | − | 0.652215i | \(-0.773840\pi\) |
0.633261 | − | 0.773938i | \(-0.281716\pi\) | |||||||
\(432\) | −196399. | + | 539603.i | −1.05238 | + | 2.89139i | ||||
\(433\) | 145124. | + | 251362.i | 0.774040 | + | 1.34068i | 0.935332 | + | 0.353770i | \(0.115101\pi\) |
−0.161292 | + | 0.986907i | \(0.551566\pi\) | |||||||
\(434\) | 237967. | + | 137390.i | 1.26339 | + | 0.729417i | ||||
\(435\) | 1844.42 | + | 2198.10i | 0.00974725 | + | 0.0116163i | ||||
\(436\) | −235978. | + | 880681.i | −1.24136 | + | 4.63282i | ||||
\(437\) | 84601.4 | + | 14917.5i | 0.443011 | + | 0.0781148i | ||||
\(438\) | 103798. | + | 103798.i | 0.541055 | + | 0.541055i | ||||
\(439\) | 246474. | − | 172583.i | 1.27892 | − | 0.895507i | 0.280980 | − | 0.959714i | \(-0.409341\pi\) |
0.997937 | + | 0.0642069i | \(0.0204517\pi\) | |||||||
\(440\) | −8173.85 | − | 6858.67i | −0.0422203 | − | 0.0354270i | ||||
\(441\) | 59691.4 | − | 21725.9i | 0.306927 | − | 0.111712i | ||||
\(442\) | −48508.5 | + | 22619.9i | −0.248298 | + | 0.115783i | ||||
\(443\) | 143470.i | 0.731062i | 0.930799 | + | 0.365531i | \(0.119113\pi\) | ||||
−0.930799 | + | 0.365531i | \(0.880887\pi\) | |||||||
\(444\) | −521799. | − | 372196.i | −2.64690 | − | 1.88802i | ||||
\(445\) | 559.833 | 0.00282708 | ||||||||
\(446\) | −260168. | − | 557931.i | −1.30793 | − | 2.80486i | ||||
\(447\) | −3135.72 | − | 8615.31i | −0.0156936 | − | 0.0431177i | ||||
\(448\) | 810494. | − | 965909.i | 4.03826 | − | 4.81261i | ||||
\(449\) | 37177.3 | + | 53094.7i | 0.184410 | + | 0.263365i | 0.900704 | − | 0.434434i | \(-0.143052\pi\) |
−0.716293 | + | 0.697799i | \(0.754163\pi\) | |||||||
\(450\) | 96466.9 | − | 96466.9i | 0.476380 | − | 0.476380i | ||||
\(451\) | −17768.1 | + | 100768.i | −0.0873553 | + | 0.495416i | ||||
\(452\) | −105837. | − | 28359.1i | −0.518039 | − | 0.138808i | ||||
\(453\) | −235554. | + | 197653.i | −1.14787 | + | 0.963178i | ||||
\(454\) | −264500. | + | 458127.i | −1.28326 | + | 2.22267i | ||||
\(455\) | −376.148 | + | 217.169i | −0.00181692 | + | 0.00104900i | ||||
\(456\) | 233265. | + | 84901.7i | 1.12181 | + | 0.408307i | ||||
\(457\) | −63169.3 | + | 5526.59i | −0.302464 | + | 0.0264622i | −0.237377 | − | 0.971417i | \(-0.576288\pi\) |
−0.0650863 | + | 0.997880i | \(0.520732\pi\) | |||||||
\(458\) | 305638. | − | 81895.5i | 1.45706 | − | 0.390417i | ||||
\(459\) | 128765. | − | 183896.i | 0.611187 | − | 0.872865i | ||||
\(460\) | 2378.58 | + | 13489.6i | 0.0112409 | + | 0.0637503i | ||||
\(461\) | 24430.6 | − | 279243.i | 0.114956 | − | 1.31396i | −0.691376 | − | 0.722495i | \(-0.742995\pi\) |
0.806333 | − | 0.591462i | \(-0.201449\pi\) | |||||||
\(462\) | −636600. | − | 296851.i | −2.98251 | − | 1.39077i | ||||
\(463\) | −45519.7 | + | 97617.4i | −0.212343 | + | 0.455371i | −0.983413 | − | 0.181379i | \(-0.941944\pi\) |
0.771070 | + | 0.636750i | \(0.219722\pi\) | |||||||
\(464\) | 756146. | + | 66154.2i | 3.51212 | + | 0.307271i | ||||
\(465\) | −1991.16 | + | 351.095i | −0.00920875 | + | 0.00162375i | ||||
\(466\) | 220880. | + | 154662.i | 1.01715 | + | 0.712216i | ||||
\(467\) | −33156.4 | − | 123741.i | −0.152031 | − | 0.567389i | −0.999341 | − | 0.0362901i | \(-0.988446\pi\) |
0.847310 | − | 0.531099i | \(-0.178221\pi\) | |||||||
\(468\) | 1850.49 | + | 21151.2i | 0.00844881 | + | 0.0965703i | ||||
\(469\) | 24826.3 | − | 68209.8i | 0.112867 | − | 0.310100i | ||||
\(470\) | −1260.29 | − | 2182.89i | −0.00570526 | − | 0.00988180i | ||||
\(471\) | −132162. | − | 76303.9i | −0.595752 | − | 0.343958i | ||||
\(472\) | 151410. | + | 180444.i | 0.679629 | + | 0.809950i | ||||
\(473\) | −73567.2 | + | 274556.i | −0.328823 | + | 1.22718i | ||||
\(474\) | −80801.6 | − | 14247.5i | −0.359636 | − | 0.0634135i | ||||
\(475\) | 46691.9 | + | 46691.9i | 0.206945 | + | 0.206945i | ||||
\(476\) | −1.01841e6 | + | 713097.i | −4.49477 | + | 3.14727i | ||||
\(477\) | −6512.76 | − | 5464.85i | −0.0286239 | − | 0.0240183i | ||||
\(478\) | −249207. | + | 90704.0i | −1.09070 | + | 0.396982i | ||||
\(479\) | 288045. | − | 134318.i | 1.25542 | − | 0.585412i | 0.322867 | − | 0.946444i | \(-0.395353\pi\) |
0.932553 | + | 0.361032i | \(0.117576\pi\) | |||||||
\(480\) | 17626.4i | 0.0765034i | ||||||||
\(481\) | 22768.9 | + | 4220.00i | 0.0984130 | + | 0.0182399i | ||||
\(482\) | −549268. | −2.36423 | ||||||||
\(483\) | 245117. | + | 525656.i | 1.05070 | + | 2.25324i | ||||
\(484\) | 19763.5 | + | 54299.7i | 0.0843670 | + | 0.231796i | ||||
\(485\) | 724.180 | − | 863.044i | 0.00307867 | − | 0.00366902i | ||||
\(486\) | −175200. | − | 250211.i | −0.741757 | − | 1.05934i | ||||
\(487\) | 20040.5 | − | 20040.5i | 0.0844990 | − | 0.0844990i | −0.663594 | − | 0.748093i | \(-0.730970\pi\) |
0.748093 | + | 0.663594i | \(0.230970\pi\) | |||||||
\(488\) | 109313. | − | 619947.i | 0.459022 | − | 2.60325i | ||||
\(489\) | 134945. | + | 36158.5i | 0.564339 | + | 0.151214i | ||||
\(490\) | −5095.34 | + | 4275.49i | −0.0212217 | + | 0.0178071i | ||||
\(491\) | −194945. | + | 337655.i | −0.808629 | + | 1.40059i | 0.105184 | + | 0.994453i | \(0.466457\pi\) |
−0.913813 | + | 0.406134i | \(0.866877\pi\) | |||||||
\(492\) | 328712. | − | 189782.i | 1.35795 | − | 0.784015i | ||||
\(493\) | −278848. | − | 101492.i | −1.14729 | − | 0.417579i | ||||
\(494\) | −13890.2 | + | 1215.23i | −0.0569185 | + | 0.00497972i | ||||
\(495\) | 1282.08 | − | 343.532i | 0.00523245 | − | 0.00140203i | ||||
\(496\) | −306771. | + | 438115.i | −1.24696 | + | 1.78084i | ||||
\(497\) | 17288.3 | + | 98046.9i | 0.0699907 | + | 0.396937i | ||||
\(498\) | 5860.45 | − | 66985.3i | 0.0236305 | − | 0.270097i | ||||
\(499\) | −287938. | − | 134268.i | −1.15637 | − | 0.539226i | −0.252741 | − | 0.967534i | \(-0.581332\pi\) |
−0.903633 | + | 0.428308i | \(0.859110\pi\) | |||||||
\(500\) | −8900.30 | + | 19086.7i | −0.0356012 | + | 0.0763470i | ||||
\(501\) | −272387. | − | 23830.8i | −1.08520 | − | 0.0949429i | ||||
\(502\) | 203493. | − | 35881.4i | 0.807500 | − | 0.142384i | ||||
\(503\) | −129020. | − | 90340.8i | −0.509943 | − | 0.357066i | 0.290112 | − | 0.956993i | \(-0.406307\pi\) |
−0.800055 | + | 0.599927i | \(0.795196\pi\) | |||||||
\(504\) | 111397. | + | 415737.i | 0.438541 | + | 1.63666i | ||||
\(505\) | −597.230 | − | 6826.37i | −0.00234185 | − | 0.0267674i | ||||
\(506\) | 273728. | − | 752062.i | 1.06910 | − | 2.93733i | ||||
\(507\) | 147592. | + | 255637.i | 0.574179 | + | 0.994507i | ||||
\(508\) | 173171. | + | 99980.5i | 0.671040 | + | 0.387425i | ||||
\(509\) | 132368. | + | 157750.i | 0.510913 | + | 0.608883i | 0.958407 | − | 0.285404i | \(-0.0921279\pi\) |
−0.447494 | + | 0.894287i | \(0.647683\pi\) | |||||||
\(510\) | 3212.42 | − | 11988.9i | 0.0123507 | − | 0.0460934i | ||||
\(511\) | −121319. | − | 21391.9i | −0.464610 | − | 0.0819233i | ||||
\(512\) | 655566. | + | 655566.i | 2.50079 | + | 2.50079i | ||||
\(513\) | 47906.3 | − | 33544.4i | 0.182036 | − | 0.127463i | ||||
\(514\) | −573114. | − | 480900.i | −2.16928 | − | 1.82024i | ||||
\(515\) | 3809.13 | − | 1386.41i | 0.0143619 | − | 0.00522730i | ||||
\(516\) | 955600. | − | 445604.i | 3.58903 | − | 1.67359i | ||||
\(517\) | 108546.i | 0.406099i | ||||||||
\(518\) | 729766. | + | 6369.29i | 2.71972 | + | 0.0237373i | ||||
\(519\) | 472768. | 1.75515 | ||||||||
\(520\) | −604.356 | − | 1296.04i | −0.00223504 | − | 0.00479307i | ||||
\(521\) | −164918. | − | 453109.i | −0.607565 | − | 1.66927i | −0.735530 | − | 0.677492i | \(-0.763067\pi\) |
0.127965 | − | 0.991779i | \(-0.459156\pi\) | |||||||
\(522\) | −102661. | + | 122347.i | −0.376760 | + | 0.449005i | ||||
\(523\) | −110705. | − | 158103.i | −0.404728 | − | 0.578011i | 0.564112 | − | 0.825698i | \(-0.309218\pi\) |
−0.968840 | + | 0.247687i | \(0.920330\pi\) | |||||||
\(524\) | −929812. | + | 929812.i | −3.38636 | + | 3.38636i | ||||
\(525\) | −77415.2 | + | 439043.i | −0.280871 | + | 1.59290i | ||||
\(526\) | 118111. | + | 31647.8i | 0.426894 | + | 0.114386i | ||||
\(527\) | 160176. | − | 134403.i | 0.576734 | − | 0.483937i | ||||
\(528\) | 683594. | − | 1.18402e6i | 2.45206 | − | 4.24709i | ||||
\(529\) | −329963. | + | 190504.i | −1.17911 | + | 0.680760i | ||||
\(530\) | 836.545 | + | 304.478i | 0.00297809 | + | 0.00108394i | ||||
\(531\) | −29189.8 | + | 2553.78i | −0.103524 | + | 0.00905720i | ||||
\(532\) | −312840. | + | 83825.1i | −1.10535 | + | 0.296177i | ||||
\(533\) | −7865.66 | + | 11233.3i | −0.0276873 | + | 0.0395416i | ||||
\(534\) | 21069.9 | + | 119493.i | 0.0738891 | + | 0.419046i | ||||
\(535\) | −260.645 | + | 2979.18i | −0.000910629 | + | 0.0104085i | ||||
\(536\) | 216597. | + | 101001.i | 0.753916 | + | 0.351557i | ||||
\(537\) | 34595.2 | − | 74189.6i | 0.119968 | − | 0.257273i | ||||
\(538\) | −157890. | − | 13813.6i | −0.545494 | − | 0.0477245i | ||||
\(539\) | 282087. | − | 49739.5i | 0.970968 | − | 0.171208i | ||||
\(540\) | 7638.60 | + | 5348.60i | 0.0261955 | + | 0.0183423i | ||||
\(541\) | −79559.2 | − | 296919.i | −0.271829 | − | 1.01448i | −0.957937 | − | 0.286980i | \(-0.907349\pi\) |
0.686107 | − | 0.727500i | \(-0.259318\pi\) | |||||||
\(542\) | 50035.1 | + | 571903.i | 0.170324 | + | 1.94681i | ||||
\(543\) | 114553. | − | 314731.i | 0.388513 | − | 1.06743i | ||||
\(544\) | −911426. | − | 1.57864e6i | −3.07981 | − | 5.33438i | ||||
\(545\) | 6615.42 | + | 3819.42i | 0.0222723 | + | 0.0128589i | ||||
\(546\) | −60510.4 | − | 72113.5i | −0.202976 | − | 0.241897i | ||||
\(547\) | 97492.2 | − | 363846.i | 0.325833 | − | 1.21603i | −0.587638 | − | 0.809124i | \(-0.699942\pi\) |
0.913472 | − | 0.406902i | \(-0.133391\pi\) | |||||||
\(548\) | 1.06827e6 | + | 188364.i | 3.55728 | + | 0.627245i | ||||
\(549\) | 55371.6 | + | 55371.6i | 0.183714 | + | 0.183714i | ||||
\(550\) | 503922. | − | 352850.i | 1.66586 | − | 1.16645i | ||||
\(551\) | −59218.2 | − | 49690.0i | −0.195053 | − | 0.163669i | ||||
\(552\) | −1.79443e6 | + | 653120.i | −5.88910 | + | 2.14346i | ||||
\(553\) | 62404.8 | − | 29099.8i | 0.204065 | − | 0.0951569i | ||||
\(554\) | 356528.i | 1.16165i | ||||||||
\(555\) | −4143.58 | + | 3415.70i | −0.0134521 | + | 0.0110890i | ||||
\(556\) | −341057. | −1.10326 | ||||||||
\(557\) | 150689. | + | 323154.i | 0.485704 | + | 1.04160i | 0.984582 | + | 0.174923i | \(0.0559677\pi\) |
−0.498878 | + | 0.866672i | \(0.666255\pi\) | |||||||
\(558\) | −38490.4 | − | 105751.i | −0.123619 | − | 0.339639i | ||||
\(559\) | −24486.5 | + | 29181.9i | −0.0783616 | + | 0.0933878i | ||||
\(560\) | −15282.0 | − | 21825.0i | −0.0487310 | − | 0.0695951i | ||||
\(561\) | −377949. | + | 377949.i | −1.20090 | + | 1.20090i | ||||
\(562\) | 86616.3 | − | 491225.i | 0.274238 | − | 1.55528i | ||||
\(563\) | −374561. | − | 100363.i | −1.18170 | − | 0.316634i | −0.386097 | − | 0.922458i | \(-0.626177\pi\) |
−0.795599 | + | 0.605824i | \(0.792844\pi\) | |||||||
\(564\) | 308447. | − | 258817.i | 0.969665 | − | 0.813646i | ||||
\(565\) | −459.005 | + | 795.021i | −0.00143787 | + | 0.00249047i | ||||
\(566\) | 879713. | − | 507903.i | 2.74605 | − | 1.58543i | ||||
\(567\) | 516630. | + | 188038.i | 1.60699 | + | 0.584897i | ||||
\(568\) | −326545. | + | 28569.0i | −1.01215 | + | 0.0885519i | ||||
\(569\) | −340090. | + | 91126.9i | −1.05044 | + | 0.281463i | −0.742432 | − | 0.669922i | \(-0.766328\pi\) |
−0.308004 | + | 0.951385i | \(0.599661\pi\) | |||||||
\(570\) | 1854.59 | − | 2648.63i | 0.00570818 | − | 0.00815213i | ||||
\(571\) | 55103.7 | + | 312509.i | 0.169009 | + | 0.958495i | 0.944835 | + | 0.327548i | \(0.106222\pi\) |
−0.775826 | + | 0.630947i | \(0.782667\pi\) | |||||||
\(572\) | −8344.34 | + | 95376.2i | −0.0255035 | + | 0.291506i | ||||
\(573\) | 493336. | + | 230046.i | 1.50257 | + | 0.700658i | ||||
\(574\) | −182648. | + | 391691.i | −0.554360 | + | 1.18883i | ||||
\(575\) | −506032. | − | 44272.0i | −1.53053 | − | 0.133904i | ||||
\(576\) | −508567. | + | 89674.2i | −1.53286 | + | 0.270285i | ||||
\(577\) | 434034. | + | 303914.i | 1.30368 | + | 0.912849i | 0.999213 | − | 0.0396725i | \(-0.0126315\pi\) |
0.304471 | + | 0.952522i | \(0.401520\pi\) | |||||||
\(578\) | 163596. | + | 610549.i | 0.489686 | + | 1.82753i | ||||
\(579\) | 14922.1 | + | 170560.i | 0.0445116 | + | 0.508769i | ||||
\(580\) | 4215.74 | − | 11582.6i | 0.0125319 | − | 0.0344312i | ||||
\(581\) | 28214.9 | + | 48869.7i | 0.0835847 | + | 0.144773i | ||||
\(582\) | 211468. | + | 122091.i | 0.624306 | + | 0.360443i | ||||
\(583\) | −24642.4 | − | 29367.7i | −0.0725014 | − | 0.0864038i | ||||
\(584\) | 104976. | − | 391777.i | 0.307798 | − | 1.14872i | ||||
\(585\) | 175.184 | + | 30.8897i | 0.000511897 | + | 9.02613e-5i | ||||
\(586\) | −605126. | − | 605126.i | −1.76218 | − | 1.76218i | ||||
\(587\) | 180670. | − | 126506.i | 0.524335 | − | 0.367143i | −0.281240 | − | 0.959638i | \(-0.590746\pi\) |
0.805575 | + | 0.592494i | \(0.201857\pi\) | |||||||
\(588\) | −813950. | − | 682985.i | −2.35420 | − | 1.97541i | ||||
\(589\) | 51185.8 | − | 18630.1i | 0.147543 | − | 0.0537013i | ||||
\(590\) | 2780.71 | − | 1296.67i | 0.00798825 | − | 0.00372498i | ||||
\(591\) | − | 749453.i | − | 2.14570i | ||||||
\(592\) | −136149. | + | 1.41395e6i | −0.388483 | + | 4.03451i | ||||
\(593\) | −115424. | −0.328236 | −0.164118 | − | 0.986441i | \(-0.552478\pi\) | ||||
−0.164118 | + | 0.986441i | \(0.552478\pi\) | |||||||
\(594\) | −230260. | − | 493794.i | −0.652598 | − | 1.39950i | ||||
\(595\) | 3562.55 | + | 9788.03i | 0.0100630 | + | 0.0276478i | ||||
\(596\) | −25315.2 | + | 30169.5i | −0.0712671 | + | 0.0849329i | ||||
\(597\) | −399064. | − | 569922.i | −1.11968 | − | 1.59907i | ||||
\(598\) | 75844.6 | − | 75844.6i | 0.212091 | − | 0.212091i | ||||
\(599\) | −66993.5 | + | 379939.i | −0.186715 | + | 1.05891i | 0.737017 | + | 0.675874i | \(0.236234\pi\) |
−0.923732 | + | 0.383039i | \(0.874878\pi\) | |||||||
\(600\) | −1.41780e6 | − | 379899.i | −3.93834 | − | 1.05527i | ||||
\(601\) | 495438. | − | 415722.i | 1.37164 | − | 1.15094i | 0.399450 | − | 0.916755i | \(-0.369201\pi\) |
0.972191 | − | 0.234189i | \(-0.0752434\pi\) | |||||||
\(602\) | −600279. | + | 1.03971e6i | −1.65638 | + | 2.86894i | ||||
\(603\) | −25745.8 | + | 14864.3i | −0.0708063 | + | 0.0408800i | ||||
\(604\) | 1.24123e6 | + | 451769.i | 3.40233 | + | 1.23835i | ||||
\(605\) | 482.290 | − | 42.1949i | 0.00131764 | − | 0.000115279i | ||||
\(606\) | 1.43457e6 | − | 384393.i | 3.90641 | − | 1.04672i | ||||
\(607\) | −17055.4 | + | 24357.7i | −0.0462898 | + | 0.0661087i | −0.841630 | − | 0.540055i | \(-0.818403\pi\) |
0.795340 | + | 0.606164i | \(0.207292\pi\) | |||||||
\(608\) | −82459.8 | − | 467653.i | −0.223067 | − | 1.26507i | ||||
\(609\) | 45488.0 | − | 519930.i | 0.122649 | − | 1.40188i | ||||
\(610\) | −7431.40 | − | 3465.32i | −0.0199715 | − | 0.00931287i | ||||
\(611\) | −6147.99 | + | 13184.4i | −0.0164684 | + | 0.0353166i | ||||
\(612\) | 507243. | + | 44378.0i | 1.35430 | + | 0.118485i | ||||
\(613\) | 212180. | − | 37413.1i | 0.564657 | − | 0.0995642i | 0.115969 | − | 0.993253i | \(-0.463003\pi\) |
0.448688 | + | 0.893689i | \(0.351892\pi\) | |||||||
\(614\) | 354048. | + | 247907.i | 0.939129 | + | 0.657585i | ||||
\(615\) | −823.063 | − | 3071.71i | −0.00217612 | − | 0.00812139i | ||||
\(616\) | 169152. | + | 1.93341e6i | 0.445774 | + | 5.09522i | ||||
\(617\) | 147284. | − | 404660.i | 0.386888 | − | 1.06297i | −0.581506 | − | 0.813542i | \(-0.697536\pi\) |
0.968394 | − | 0.249425i | \(-0.0802415\pi\) | |||||||
\(618\) | 439283. | + | 760861.i | 1.15018 | + | 1.99218i | ||||
\(619\) | 350270. | + | 202228.i | 0.914158 | + | 0.527789i | 0.881767 | − | 0.471686i | \(-0.156354\pi\) |
0.0323911 | + | 0.999475i | \(0.489688\pi\) | |||||||
\(620\) | 5582.79 | + | 6653.31i | 0.0145234 | + | 0.0173083i | ||||
\(621\) | −116440. | + | 434559.i | −0.301938 | + | 1.12685i | ||||
\(622\) | −356043. | − | 62779.9i | −0.920282 | − | 0.162271i | ||||
\(623\) | −72003.1 | − | 72003.1i | −0.185513 | − | 0.185513i | ||||
\(624\) | 150095. | − | 105097.i | 0.385474 | − | 0.269912i | ||||
\(625\) | −299033. | − | 250919.i | −0.765525 | − | 0.642352i | ||||
\(626\) | 652159. | − | 237367.i | 1.66420 | − | 0.605719i | ||||
\(627\) | −126196. | + | 58846.0i | −0.321003 | + | 0.149686i | ||||
\(628\) | 655550.i | 1.66221i | ||||||||
\(629\) | 194484. | − | 520170.i | 0.491567 | − | 1.31475i | ||||
\(630\) | 5606.18 | 0.0141249 | ||||||||
\(631\) | −137253. | − | 294339.i | −0.344717 | − | 0.739247i | 0.655151 | − | 0.755498i | \(-0.272605\pi\) |
−0.999868 | + | 0.0162506i | \(0.994827\pi\) | |||||||
\(632\) | 77537.2 | + | 213032.i | 0.194122 | + | 0.533347i | ||||
\(633\) | −300241. | + | 357813.i | −0.749311 | + | 0.892994i | ||||
\(634\) | −225904. | − | 322624.i | −0.562011 | − | 0.802635i | ||||
\(635\) | 1184.63 | − | 1184.63i | 0.00293789 | − | 0.00293789i | ||||
\(636\) | −24694.4 | + | 140049.i | −0.0610499 | + | 0.346231i | ||||
\(637\) | 37080.6 | + | 9935.72i | 0.0913835 | + | 0.0244861i | ||||
\(638\) | −551693. | + | 462925.i | −1.35536 | + | 1.13729i | ||||
\(639\) | 20387.7 | − | 35312.5i | 0.0499305 | − | 0.0864821i | ||||
\(640\) | 23434.7 | − | 13530.0i | 0.0572135 | − | 0.0330323i | ||||
\(641\) | −767713. | − | 279425.i | −1.86846 | − | 0.680063i | −0.971059 | − | 0.238842i | \(-0.923232\pi\) |
−0.897398 | − | 0.441221i | \(-0.854545\pi\) | |||||||
\(642\) | −645701. | + | 56491.5i | −1.56661 | + | 0.137061i | ||||
\(643\) | 731873. | − | 196105.i | 1.77016 | − | 0.474314i | 0.781430 | − | 0.623993i | \(-0.214491\pi\) |
0.988735 | + | 0.149679i | \(0.0478240\pi\) | |||||||
\(644\) | 1.42904e6 | − | 2.04089e6i | 3.44567 | − | 4.92093i | ||||
\(645\) | −1533.99 | − | 8699.70i | −0.00368726 | − | 0.0209115i | ||||
\(646\) | −29143.4 | + | 333110.i | −0.0698353 | + | 0.798221i | ||||
\(647\) | 416081. | + | 194022.i | 0.993960 | + | 0.463491i | 0.850392 | − | 0.526149i | \(-0.176365\pi\) |
0.143568 | + | 0.989640i | \(0.454142\pi\) | |||||||
\(648\) | −764993. | + | 1.64053e6i | −1.82183 | + | 3.90693i | ||||
\(649\) | −131624. | − | 11515.6i | −0.312498 | − | 0.0273400i | ||||
\(650\) | 81193.6 | − | 14316.6i | 0.192174 | − | 0.0338855i | ||||
\(651\) | 301250. | + | 210938.i | 0.710829 | + | 0.497728i | ||||
\(652\) | −155324. | − | 579678.i | −0.365380 | − | 1.36362i | ||||
\(653\) | −28347.3 | − | 324011.i | −0.0664791 | − | 0.759860i | −0.954140 | − | 0.299362i | \(-0.903226\pi\) |
0.887661 | − | 0.460498i | \(-0.152329\pi\) | |||||||
\(654\) | −566256. | + | 1.55577e6i | −1.32391 | + | 3.63740i | ||||
\(655\) | 5508.49 | + | 9540.98i | 0.0128396 | + | 0.0222388i | ||||
\(656\) | −728511. | − | 420606.i | −1.69289 | − | 0.977389i | ||||
\(657\) | 32431.1 | + | 38649.8i | 0.0751329 | + | 0.0895399i | ||||
\(658\) | −118660. | + | 442846.i | −0.274065 | + | 1.02282i | ||||
\(659\) | −744051. | − | 131196.i | −1.71329 | − | 0.302100i | −0.770987 | − | 0.636851i | \(-0.780237\pi\) |
−0.942307 | + | 0.334751i | \(0.891348\pi\) | |||||||
\(660\) | −15699.1 | − | 15699.1i | −0.0360401 | − | 0.0360401i | ||||
\(661\) | −372773. | + | 261018.i | −0.853181 | + | 0.597404i | −0.916251 | − | 0.400605i | \(-0.868800\pi\) |
0.0630698 | + | 0.998009i | \(0.479911\pi\) | |||||||
\(662\) | 671368. | + | 563345.i | 1.53195 | + | 1.28546i | ||||
\(663\) | −67314.0 | + | 24500.3i | −0.153136 | + | 0.0557371i | ||||
\(664\) | −168384. | + | 78518.7i | −0.381913 | + | 0.178089i | ||||
\(665\) | 2713.50i | 0.00613602i | ||||||||
\(666\) | −227279. | − | 194115.i | −0.512403 | − | 0.437634i | ||||
\(667\) | 594673. | 1.33668 | ||||||||
\(668\) | 496386. | + | 1.06450e6i | 1.11241 | + | 2.38558i | ||||
\(669\) | −281795. | − | 774226.i | −0.629624 | − | 1.72988i | ||||
\(670\) | 2000.95 | − | 2384.64i | 0.00445745 | − | 0.00531218i | ||||
\(671\) | 202534. | + | 289249.i | 0.449835 | + | 0.642431i | ||||
\(672\) | 2.26702e6 | − | 2.26702e6i | 5.02016 | − | 5.02016i | ||||
\(673\) | 28827.0 | − | 163486.i | 0.0636458 | − | 0.360953i | −0.936306 | − | 0.351184i | \(-0.885779\pi\) |
0.999952 | − | 0.00976935i | \(-0.00310973\pi\) | |||||||
\(674\) | −205269. | − | 55001.7i | −0.451860 | − | 0.121075i | ||||
\(675\) | −264905. | + | 222281.i | −0.581409 | + | 0.487860i | ||||
\(676\) | 634005. | − | 1.09813e6i | 1.38739 | − | 2.40303i | ||||
\(677\) | −244460. | + | 141139.i | −0.533373 | + | 0.307943i | −0.742389 | − | 0.669969i | \(-0.766307\pi\) |
0.209016 | + | 0.977912i | \(0.432974\pi\) | |||||||
\(678\) | −186968. | − | 68050.8i | −0.406732 | − | 0.148038i | ||||
\(679\) | −204141. | + | 17860.1i | −0.442784 | + | 0.0387386i | ||||
\(680\) | −33126.0 | + | 8876.09i | −0.0716393 | + | 0.0191957i | ||||
\(681\) | −406092. | + | 579959.i | −0.875649 | + | 1.25056i | ||||
\(682\) | −88120.2 | − | 499755.i | −0.189455 | − | 1.07445i | ||||
\(683\) | 25974.3 | − | 296887.i | 0.0556804 | − | 0.636430i | −0.916164 | − | 0.400804i | \(-0.868731\pi\) |
0.971844 | − | 0.235625i | \(-0.0757138\pi\) | |||||||
\(684\) | 120218. | + | 56058.4i | 0.256954 | + | 0.119820i | ||||
\(685\) | 3840.86 | − | 8236.75i | 0.00818554 | − | 0.0175539i | ||||
\(686\) | −69834.9 | − | 6109.76i | −0.148397 | − | 0.0129830i | ||||
\(687\) | 417054. | − | 73537.9i | 0.883647 | − | 0.155811i | ||||
\(688\) | −1.91419e6 | − | 1.34033e6i | −4.04398 | − | 2.83162i | ||||
\(689\) | −1329.79 | − | 4962.86i | −0.00280121 | − | 0.0104543i | ||||
\(690\) | 2167.85 | + | 24778.6i | 0.00455335 | + | 0.0520450i | ||||
\(691\) | −207211. | + | 569307.i | −0.433966 | + | 1.19231i | 0.509391 | + | 0.860535i | \(0.329871\pi\) |
−0.943358 | + | 0.331777i | \(0.892352\pi\) | |||||||
\(692\) | −1.01542e6 | − | 1.75877e6i | −2.12048 | − | 3.67279i | ||||
\(693\) | −209079. | − | 120712.i | −0.435355 | − | 0.251352i | ||||
\(694\) | 1114.07 | + | 1327.70i | 0.00231310 | + | 0.00275664i | ||||
\(695\) | −739.563 | + | 2760.09i | −0.00153111 | + | 0.00571417i | ||||
\(696\) | 1.69226e6 | + | 298392.i | 3.49341 | + | 0.615983i | ||||
\(697\) | 232546. | + | 232546.i | 0.478679 | + | 0.478679i | ||||
\(698\) | 879335. | − | 615717.i | 1.80486 | − | 1.26378i | ||||
\(699\) | 276454. | + | 231973.i | 0.565808 | + | 0.474769i | ||||
\(700\) | 1.79958e6 | − | 654993.i | 3.67261 | − | 1.33672i | ||||
\(701\) | −155109. | + | 72328.7i | −0.315647 | + | 0.147189i | −0.573985 | − | 0.818866i | \(-0.694603\pi\) |
0.258337 | + | 0.966055i | \(0.416825\pi\) | |||||||
\(702\) | − | 73020.0i | − | 0.148173i | ||||||
\(703\) | 93955.7 | − | 110008.i | 0.190113 | − | 0.222594i | ||||
\(704\) | −2.32864e6 | −4.69847 | ||||||||
\(705\) | −1425.69 | − | 3057.41i | −0.00286846 | − | 0.00615142i | ||||
\(706\) | −310187. | − | 852233.i | −0.622322 | − | 1.70981i | ||||
\(707\) | −801163. | + | 954789.i | −1.60281 | + | 1.91015i | ||||
\(708\) | 281123. | + | 401485.i | 0.560828 | + | 0.800945i | ||||
\(709\) | −127539. | + | 127539.i | −0.253718 | + | 0.253718i | −0.822493 | − | 0.568775i | \(-0.807417\pi\) |
0.568775 | + | 0.822493i | \(0.307417\pi\) | |||||||
\(710\) | −741.413 | + | 4204.76i | −0.00147077 | + | 0.00834113i | ||||
\(711\) | −27239.6 | − | 7298.83i | −0.0538842 | − | 0.0144382i | ||||
\(712\) | 256824. | − | 215501.i | 0.506613 | − | 0.425099i | ||||
\(713\) | −209513. | + | 362886.i | −0.412127 | + | 0.713825i | ||||
\(714\) | −1.95512e6 | + | 1.12879e6i | −3.83511 | + | 2.21420i | ||||
\(715\) | 753.762 | + | 274.347i | 0.00147442 | + | 0.000536646i | ||||
\(716\) | −350300. | + | 30647.3i | −0.683305 | + | 0.0597815i | ||||
\(717\) | −342843. | + | 91864.6i | −0.666895 | + | 0.178694i | ||||
\(718\) | 230451. | − | 329118.i | 0.447023 | − | 0.638415i | ||||
\(719\) | 46796.7 | + | 265397.i | 0.0905227 | + | 0.513380i | 0.996028 | + | 0.0890442i | \(0.0283812\pi\) |
−0.905505 | + | 0.424336i | \(0.860508\pi\) | |||||||
\(720\) | −951.044 | + | 10870.5i | −0.00183458 | + | 0.0209693i | ||||
\(721\) | −668227. | − | 311599.i | −1.28545 | − | 0.599413i | ||||
\(722\) | 392799. | − | 842361.i | 0.753523 | − | 1.61594i | ||||
\(723\) | −732329. | − | 64070.5i | −1.40097 | − | 0.122569i | ||||
\(724\) | −1.41688e6 | + | 249834.i | −2.70307 | + | 0.476623i | ||||
\(725\) | 374432. | + | 262180.i | 0.712356 | + | 0.498797i | ||||
\(726\) | 27157.8 | + | 101354.i | 0.0515253 | + | 0.192295i | ||||
\(727\) | −54591.7 | − | 623986.i | −0.103290 | − | 1.18061i | −0.854107 | − | 0.520098i | \(-0.825895\pi\) |
0.750817 | − | 0.660511i | \(-0.229660\pi\) | |||||||
\(728\) | −88961.9 | + | 244421.i | −0.167858 | + | 0.461185i | ||||
\(729\) | 121408. | + | 210284.i | 0.228450 | + | 0.395687i | ||||
\(730\) | −4575.27 | − | 2641.53i | −0.00858561 | − | 0.00495690i | ||||
\(731\) | 587230. | + | 699833.i | 1.09894 | + | 1.30966i | ||||
\(732\) | 339013. | − | 1.26521e6i | 0.632694 | − | 2.36125i | ||||
\(733\) | 274967. | + | 48484.1i | 0.511768 | + | 0.0902385i | 0.423568 | − | 0.905864i | \(-0.360777\pi\) |
0.0881999 | + | 0.996103i | \(0.471889\pi\) | |||||||
\(734\) | 1.17835e6 | + | 1.17835e6i | 2.18716 | + | 2.18716i | ||||
\(735\) | −7292.23 | + | 5106.08i | −0.0134985 | + | 0.00945176i | ||||
\(736\) | 2.79835e6 | + | 2.34810e6i | 5.16591 | + | 4.33471i | ||||
\(737\) | −125970. | + | 45849.3i | −0.231916 | + | 0.0844107i | ||||
\(738\) | 160420. | − | 74805.0i | 0.294541 | − | 0.137347i | ||||
\(739\) | 534847.i | 0.979357i | 0.871903 | + | 0.489678i | \(0.162886\pi\) | ||||
−0.871903 | + | 0.489678i | \(0.837114\pi\) | |||||||
\(740\) | 21606.6 | + | 8078.40i | 0.0394569 | + | 0.0147524i | ||||
\(741\) | −18661.2 | −0.0339863 | ||||||||
\(742\) | −68432.1 | − | 146753.i | −0.124295 | − | 0.266550i | ||||
\(743\) | 191585. | + | 526375.i | 0.347043 | + | 0.953493i | 0.983296 | + | 0.182013i | \(0.0582612\pi\) |
−0.636253 | + | 0.771480i | \(0.719517\pi\) | |||||||
\(744\) | −778298. | + | 927540.i | −1.40605 | + | 1.67566i | ||||
\(745\) | 189.260 | + | 270.291i | 0.000340993 | + | 0.000486988i | ||||
\(746\) | 64218.9 | − | 64218.9i | 0.115394 | − | 0.115394i | ||||
\(747\) | 4013.23 | − | 22760.1i | 0.00719205 | − | 0.0407881i | ||||
\(748\) | 2.21779e6 | + | 594256.i | 3.96385 | + | 1.06211i | ||||
\(749\) | 416692. | − | 349646.i | 0.742764 | − | 0.623253i | ||||
\(750\) | −19121.1 | + | 33118.7i | −0.0339930 | + | 0.0588777i | ||||
\(751\) | 358268. | − | 206846.i | 0.635226 | − | 0.366748i | −0.147547 | − | 0.989055i | \(-0.547138\pi\) |
0.782773 | + | 0.622307i | \(0.213804\pi\) | |||||||
\(752\) | −838557. | − | 305210.i | −1.48285 | − | 0.539713i | ||||
\(753\) | 275499. | − | 24103.1i | 0.485881 | − | 0.0425091i | ||||
\(754\) | −93230.7 | + | 24981.1i | −0.163990 | + | 0.0439409i | ||||
\(755\) | 6347.58 | − | 9065.28i | 0.0111356 | − | 0.0159033i | ||||
\(756\) | −294528. | − | 1.67035e6i | −0.515328 | − | 2.92257i | ||||
\(757\) | −24882.5 | + | 284408.i | −0.0434212 | + | 0.496307i | 0.943081 | + | 0.332562i | \(0.107913\pi\) |
−0.986503 | + | 0.163745i | \(0.947643\pi\) | |||||||
\(758\) | 220926. | + | 103020.i | 0.384511 | + | 0.179301i | ||||
\(759\) | 452682. | − | 970780.i | 0.785796 | − | 1.68515i | ||||
\(760\) | −8900.00 | − | 778.649i | −0.0154086 | − | 0.00134808i | ||||
\(761\) | −586305. | + | 103381.i | −1.01240 | + | 0.178514i | −0.655155 | − | 0.755495i | \(-0.727397\pi\) |
−0.357250 | + | 0.934009i | \(0.616285\pi\) | |||||||
\(762\) | 297438. | + | 208268.i | 0.512255 | + | 0.358685i | ||||
\(763\) | −359609. | − | 1.34208e6i | −0.617706 | − | 2.30531i | ||||
\(764\) | −203794. | − | 2.32938e6i | −0.349145 | − | 3.99074i | ||||
\(765\) | 1459.07 | − | 4008.76i | 0.00249318 | − | 0.00684995i | ||||
\(766\) | 735221. | + | 1.27344e6i | 1.25303 | + | 2.17031i | ||||
\(767\) | −15335.4 | − | 8853.89i | −0.0260678 | − | 0.0150502i | ||||
\(768\) | 1.78892e6 | + | 2.13195e6i | 3.03296 | + | 3.61455i | ||||
\(769\) | 81827.2 | − | 305383.i | 0.138371 | − | 0.516408i | −0.861590 | − | 0.507604i | \(-0.830531\pi\) |
0.999961 | − | 0.00880324i | \(-0.00280220\pi\) | |||||||
\(770\) | 24895.6 | + | 4389.77i | 0.0419896 | + | 0.00740390i | ||||
\(771\) | −708027. | − | 708027.i | −1.19108 | − | 1.19108i | ||||
\(772\) | 602459. | − | 421846.i | 1.01086 | − | 0.707815i | ||||
\(773\) | 166204. | + | 139462.i | 0.278153 | + | 0.233398i | 0.771182 | − | 0.636615i | \(-0.219666\pi\) |
−0.493029 | + | 0.870013i | \(0.664110\pi\) | |||||||
\(774\) | 462045. | − | 168170.i | 0.771262 | − | 0.280716i | ||||
\(775\) | −291908. | + | 136119.i | −0.486007 | + | 0.226629i | ||||
\(776\) | − | 674688.i | − | 1.12042i | ||||||
\(777\) | 972240. | + | 93617.0i | 1.61039 | + | 0.155065i | ||||
\(778\) | −691801. | −1.14294 | ||||||||
\(779\) | 36207.1 | + | 77646.4i | 0.0596649 | + | 0.127952i | ||||
\(780\) | −1017.68 | − | 2796.06i | −0.00167272 | − | 0.00459576i | ||||
\(781\) | 118187. | − | 140850.i | 0.193762 | − | 0.230916i | ||||
\(782\) | −1.47541e6 | − | 2.10710e6i | −2.41267 | − | 3.44566i | ||||
\(783\) | 286263. | − | 286263.i | 0.466920 | − | 0.466920i | ||||
\(784\) | −408917. | + | 2.31908e6i | −0.665277 | + | 3.77297i | ||||
\(785\) | 5305.20 | + | 1421.52i | 0.00860920 | + | 0.00230683i | ||||
\(786\) | −1.82915e6 | + | 1.53484e6i | −2.96077 | + | 2.48438i | ||||
\(787\) | 308320. | − | 534026.i | 0.497797 | − | 0.862209i | −0.502200 | − | 0.864751i | \(-0.667476\pi\) |
0.999997 | + | 0.00254222i | \(0.000809216\pi\) | |||||||
\(788\) | −2.78807e6 | + | 1.60970e6i | −4.49006 | + | 2.59234i | ||||
\(789\) | 153784. | + | 55972.7i | 0.247034 | + | 0.0899130i | ||||
\(790\) | 2941.67 | − | 257.363i | 0.00471346 | − | 0.000412374i | ||||
\(791\) | 161287. | − | 43216.7i | 0.257778 | − | 0.0690715i | ||||
\(792\) | 455918. | − | 651118.i | 0.726835 | − | 1.03803i | ||||
\(793\) | 8217.68 | + | 46604.8i | 0.0130678 | + | 0.0741112i | ||||
\(794\) | −128977. | + | 1.47422e6i | −0.204584 | + | 2.33841i | ||||
\(795\) | 1079.83 | + | 503.534i | 0.00170853 | + | 0.000796700i | ||||
\(796\) | −1.26307e6 | + | 2.70867e6i | −1.99343 | + | 4.27493i | ||||
\(797\) | 727892. | + | 63682.3i | 1.14591 | + | 0.100254i | 0.644253 | − | 0.764812i | \(-0.277168\pi\) |
0.501657 | + | 0.865067i | \(0.332724\pi\) | |||||||
\(798\) | −579183. | + | 102126.i | −0.909515 | + | 0.160372i | ||||
\(799\) | 285779. | + | 200105.i | 0.447648 | + | 0.313447i | ||||
\(800\) | 726734. | + | 2.71221e6i | 1.13552 | + | 4.23782i | ||||
\(801\) | 3634.77 | + | 41545.6i | 0.00566516 | + | 0.0647531i | ||||
\(802\) | 259058. | − | 711756.i | 0.402762 | − | 1.10658i | ||||
\(803\) | 113754. | + | 197029.i | 0.176416 | + | 0.305561i | ||||
\(804\) | 430650. | + | 248636.i | 0.666211 | + | 0.384637i | ||||
\(805\) | −13417.6 | − | 15990.5i | −0.0207053 | − | 0.0246757i | ||||
\(806\) | 17602.5 | − | 65693.3i | 0.0270959 | − | 0.101123i | ||||
\(807\) | −208900. | − | 36834.8i | −0.320769 | − | 0.0565602i | ||||
\(808\) | −2.90171e6 | − | 2.90171e6i | −4.44459 | − | 4.44459i | ||||
\(809\) | −449188. | + | 314525.i | −0.686327 | + | 0.480571i | −0.863983 | − | 0.503522i | \(-0.832037\pi\) |
0.177656 | + | 0.984093i | \(0.443149\pi\) | |||||||
\(810\) | 18061.5 | + | 15155.4i | 0.0275286 | + | 0.0230993i | ||||
\(811\) | 1.07570e6 | − | 391522.i | 1.63549 | − | 0.595271i | 0.649251 | − | 0.760574i | \(-0.275082\pi\) |
0.986243 | + | 0.165303i | \(0.0528601\pi\) | |||||||
\(812\) | −2.03192e6 | + | 947498.i | −3.08172 | + | 1.43703i | ||||
\(813\) | 768344.i | 1.16245i | ||||||||
\(814\) | −857294. | − | 1.03998e6i | −1.29384 | − | 1.56956i | ||||
\(815\) | −5028.00 | −0.00756973 | ||||||||
\(816\) | −1.85708e6 | − | 3.98251e6i | −2.78900 | − | 5.98104i | ||||
\(817\) | 81397.8 | + | 223639.i | 0.121946 | + | 0.335045i | ||||
\(818\) | 1.19025e6 | − | 1.41848e6i | 1.77881 | − | 2.11990i | ||||
\(819\) | −18558.5 | − | 26504.3i | −0.0276678 | − | 0.0395137i | ||||
\(820\) | −9659.42 | + | 9659.42i | −0.0143656 | + | 0.0143656i | ||||
\(821\) | −140915. | + | 799166.i | −0.209059 | + | 1.18563i | 0.681863 | + | 0.731479i | \(0.261170\pi\) |
−0.890923 | + | 0.454155i | \(0.849941\pi\) | |||||||
\(822\) | 1.90265e6 | + | 509812.i | 2.81588 | + | 0.754513i | ||||
\(823\) | 851664. | − | 714631.i | 1.25739 | − | 1.05507i | 0.261431 | − | 0.965222i | \(-0.415805\pi\) |
0.995955 | − | 0.0898506i | \(-0.0286390\pi\) | |||||||
\(824\) | 1.21376e6 | − | 2.10230e6i | 1.78764 | − | 3.09628i | ||||
\(825\) | 713028. | − | 411667.i | 1.04761 | − | 0.604836i | ||||
\(826\) | −524413. | − | 190871.i | −0.768623 | − | 0.279756i | ||||
\(827\) | −375038. | + | 32811.6i | −0.548358 | + | 0.0479751i | −0.357969 | − | 0.933734i | \(-0.616531\pi\) |
−0.190389 | + | 0.981709i | \(0.560975\pi\) | |||||||
\(828\) | −985628. | + | 264098.i | −1.43765 | + | 0.385217i | ||||
\(829\) | −214992. | + | 307040.i | −0.312833 | + | 0.446772i | −0.944521 | − | 0.328451i | \(-0.893474\pi\) |
0.631688 | + | 0.775223i | \(0.282362\pi\) | |||||||
\(830\) | 420.229 | + | 2383.24i | 0.000610001 | + | 0.00345949i | ||||
\(831\) | −41587.9 | + | 475352.i | −0.0602234 | + | 0.688357i | ||||
\(832\) | −282846. | − | 131893.i | −0.408604 | − | 0.190535i | ||||
\(833\) | 389074. | − | 834372.i | 0.560715 | − | 1.20246i | ||||
\(834\) | −616960. | − | 53977.0i | −0.887003 | − | 0.0776027i | ||||
\(835\) | 9691.13 | − | 1708.81i | 0.0138996 | − | 0.00245087i | ||||
\(836\) | 489962. | + | 343075.i | 0.701051 | + | 0.490881i | ||||
\(837\) | 73831.0 | + | 275541.i | 0.105387 | + | 0.393310i | ||||
\(838\) | 151972. | + | 1.73705e6i | 0.216410 | + | 2.47357i | ||||
\(839\) | −75011.5 | + | 206092.i | −0.106562 | + | 0.292778i | −0.981501 | − | 0.191456i | \(-0.938679\pi\) |
0.874939 | + | 0.484233i | \(0.160901\pi\) | |||||||
\(840\) | −30158.9 | − | 52236.7i | −0.0427422 | − | 0.0740316i | ||||
\(841\) | 149093. | + | 86079.0i | 0.210798 | + | 0.121704i | ||||
\(842\) | −185486. | − | 221054.i | −0.261630 | − | 0.311798i | ||||
\(843\) | 172784. | − | 644838.i | 0.243135 | − | 0.907393i | ||||
\(844\) | 1.97598e6 | + | 348419.i | 2.77394 | + | 0.489121i | ||||
\(845\) | −7512.07 | − | 7512.07i | −0.0105207 | − | 0.0105207i | ||||
\(846\) | 153811. | − | 107700.i | 0.214905 | − | 0.150478i | ||||
\(847\) | −67456.8 | − | 56603.0i | −0.0940284 | − | 0.0788992i | ||||
\(848\) | 296166. | − | 107796.i | 0.411854 | − | 0.149903i | ||||
\(849\) | 1.23215e6 | − | 574561.i | 1.70942 | − | 0.797114i | ||||
\(850\) | − | 1.97720e6i | − | 2.73661i | ||||||
\(851\) | −9712.83 | + | 1.11285e6i | −0.0134118 | + | 1.53667i | ||||
\(852\) | −682048. | −0.939585 | ||||||||
\(853\) | 266501. | + | 571512.i | 0.366269 | + | 0.785466i | 0.999930 | + | 0.0118553i | \(0.00377373\pi\) |
−0.633661 | + | 0.773611i | \(0.718448\pi\) | |||||||
\(854\) | 510099. | + | 1.40149e6i | 0.699421 | + | 1.92164i | ||||
\(855\) | 714.352 | − | 851.332i | 0.000977192 | − | 0.00116457i | ||||
\(856\) | 1.02723e6 | + | 1.46704e6i | 1.40191 | + | 2.00214i | ||||
\(857\) | −38688.0 | + | 38688.0i | −0.0526763 | + | 0.0526763i | −0.732954 | − | 0.680278i | \(-0.761859\pi\) |
0.680278 | + | 0.732954i | \(0.261859\pi\) | |||||||
\(858\) | −30189.3 | + | 171212.i | −0.0410089 | + | 0.232573i | ||||
\(859\) | 107132. | + | 28705.8i | 0.145188 | + | 0.0389030i | 0.330681 | − | 0.943743i | \(-0.392722\pi\) |
−0.185493 | + | 0.982646i | \(0.559388\pi\) | |||||||
\(860\) | −29069.4 | + | 24392.1i | −0.0393042 | + | 0.0329801i | ||||
\(861\) | −289211. | + | 500928.i | −0.390129 | + | 0.675724i | ||||
\(862\) | −1.79648e6 | + | 1.03720e6i | −2.41773 | + | 1.39588i | ||||
\(863\) | −167060. | − | 60805.0i | −0.224312 | − | 0.0816428i | 0.227419 | − | 0.973797i | \(-0.426971\pi\) |
−0.451731 | + | 0.892154i | \(0.649193\pi\) | |||||||
\(864\) | 2.47739e6 | − | 216744.i | 3.31870 | − | 0.290348i | ||||
\(865\) | −16435.1 | + | 4403.78i | −0.0219655 | + | 0.00588564i | ||||
\(866\) | 1.29860e6 | − | 1.85459e6i | 1.73157 | − | 2.47294i | ||||
\(867\) | 146901. | + | 833116.i | 0.195428 | + | 1.10833i | ||||
\(868\) | 137685. | − | 1.57375e6i | 0.182746 | − | 2.08880i | ||||
\(869\) | −115249. | − | 53741.6i | −0.152615 | − | 0.0711657i | ||||
\(870\) | 9459.25 | − | 20285.4i | 0.0124974 | − | 0.0268007i | ||||
\(871\) | −17897.7 | − | 1565.84i | −0.0235918 | − | 0.00206401i | ||||
\(872\) | 4.50508e6 | − | 794366.i | 5.92474 | − | 1.04469i | ||||
\(873\) | 68749.0 | + | 48138.6i | 0.0902065 | + | 0.0631633i | ||||
\(874\) | −173435. | − | 647269.i | −0.227046 | − | 0.847349i | ||||
\(875\) | −2797.13 | − | 31971.3i | −0.00365339 | − | 0.0417585i | ||||
\(876\) | 288644. | − | 793044.i | 0.376144 | − | 1.03345i | ||||
\(877\) | −8872.70 | − | 15368.0i | −0.0115360 | − | 0.0199810i | 0.860200 | − | 0.509957i | \(-0.170339\pi\) |
−0.871736 | + | 0.489976i | \(0.837005\pi\) | |||||||
\(878\) | −2.03260e6 | − | 1.17352e6i | −2.63672 | − | 1.52231i | ||||
\(879\) | −736217. | − | 877389.i | −0.952858 | − | 1.13557i | ||||
\(880\) | −12735.2 | + | 47528.4i | −0.0164453 | + | 0.0613745i | ||||
\(881\) | −623096. | − | 109869.i | −0.802792 | − | 0.141554i | −0.242826 | − | 0.970070i | \(-0.578075\pi\) |
−0.559966 | + | 0.828516i | \(0.689186\pi\) | |||||||
\(882\) | −350370. | − | 350370.i | −0.450391 | − | 0.450391i | ||||
\(883\) | −798843. | + | 559356.i | −1.02457 | + | 0.717409i | −0.959855 | − | 0.280495i | \(-0.909501\pi\) |
−0.0647107 | + | 0.997904i | \(0.520612\pi\) | |||||||
\(884\) | 235723. | + | 197795.i | 0.301646 | + | 0.253111i | ||||
\(885\) | 3858.72 | − | 1404.46i | 0.00492670 | − | 0.00179317i | ||||
\(886\) | 1.01427e6 | − | 472961.i | 1.29207 | − | 0.602501i | ||||
\(887\) | − | 616913.i | − | 0.784109i | −0.919942 | − | 0.392055i | \(-0.871764\pi\) | ||
0.919942 | − | 0.392055i | \(-0.128236\pi\) | |||||||
\(888\) | −586042. | + | 3.16198e6i | −0.743195 | + | 4.00990i | ||||
\(889\) | −304723. | −0.385569 | ||||||||
\(890\) | −1845.53 | − | 3957.76i | −0.00232993 | − | 0.00499654i | ||||
\(891\) | −347268. | − | 954111.i | −0.437431 | − | 1.20183i | ||||
\(892\) | −2.27499e6 | + | 2.71122e6i | −2.85923 | + | 3.40750i | ||||
\(893\) | 52128.8 | + | 74447.7i | 0.0653695 | + | 0.0933573i | ||||
\(894\) | −50569.1 | + | 50569.1i | −0.0632718 | + | 0.0632718i | ||||
\(895\) | −511.586 | + | 2901.35i | −0.000638665 | + | 0.00362205i | ||||
\(896\) | −4.75423e6 | − | 1.27389e6i | −5.92194 | − | 1.58678i | ||||
\(897\) | 109969. | − | 92275.1i | 0.136674 | − | 0.114683i | ||||
\(898\) | 252797. | − | 437857.i | 0.313487 | − | 0.542975i | ||||
\(899\) | 326547. | − | 188532.i | 0.404042 | − | 0.233274i | ||||
\(900\) | −737031. | − | 268257.i | −0.909915 | − | 0.331182i | ||||
\(901\) | −122748. | + | 10739.0i | −0.151204 | + | 0.0132286i | ||||
\(902\) | 770958. | − | 206578.i | 0.947584 | − | 0.253904i | ||||
\(903\) | −921620. | + | 1.31621e6i | −1.13025 | + | 1.61417i | ||||
\(904\) | 95464.5 | + | 541406.i | 0.116817 | + | 0.662500i | ||||
\(905\) | −1050.58 | + | 12008.2i | −0.00128272 | + | 0.0146616i | ||||
\(906\) | 2.17383e6 | + | 1.01368e6i | 2.64832 | + | 1.23493i | ||||
\(907\) | −119147. | + | 255512.i | −0.144833 | + | 0.310596i | −0.965320 | − | 0.261069i | \(-0.915925\pi\) |
0.820487 | + | 0.571666i | \(0.193703\pi\) | |||||||
\(908\) | 3.02975e6 | + | 265068.i | 3.67481 | + | 0.321504i | ||||
\(909\) | 502712. | − | 88641.7i | 0.608404 | − | 0.107278i | ||||
\(910\) | 2775.29 | + | 1943.28i | 0.00335139 | + | 0.00234667i | ||||
\(911\) | 51379.8 | + | 191752.i | 0.0619093 | + | 0.231049i | 0.989947 | − | 0.141437i | \(-0.0451722\pi\) |
−0.928038 | + | 0.372486i | \(0.878506\pi\) | |||||||
\(912\) | −99769.5 | − | 1.14037e6i | −0.119952 | − | 1.37106i | ||||
\(913\) | 35643.5 | − | 97929.7i | 0.0427601 | − | 0.117482i | ||||
\(914\) | 247313. | + | 428358.i | 0.296043 | + | 0.512761i | ||||
\(915\) | −9503.92 | − | 5487.09i | −0.0113517 | − | 0.00655390i | ||||
\(916\) | −1.16933e6 | − | 1.39355e6i | −1.39363 | − | 1.66086i | ||||
\(917\) | 518641. | − | 1.93559e6i | 0.616777 | − | 2.30184i | ||||
\(918\) | −1.72455e6 | − | 304084.i | −2.04639 | − | 0.360834i | ||||
\(919\) | −407046. | − | 407046.i | −0.481961 | − | 0.481961i | 0.423796 | − | 0.905757i | \(-0.360697\pi\) |
−0.905757 | + | 0.423796i | \(0.860697\pi\) | |||||||
\(920\) | 56297.2 | − | 39419.8i | 0.0665138 | − | 0.0465734i | ||||
\(921\) | 443127. | + | 371828.i | 0.522408 | + | 0.438352i | ||||
\(922\) | −2.05466e6 | + | 747835.i | −2.41701 | + | 0.879719i | ||||
\(923\) | 22333.1 | − | 10414.1i | 0.0262148 | − | 0.0122242i | ||||
\(924\) | 4.03828e6i | 4.72991i | ||||||||
\(925\) | −496752. | + | 696420.i | −0.580573 | + | 0.813931i | ||||
\(926\) | 840169. | 0.979816 | ||||||||
\(927\) | 127618. | + | 273677.i | 0.148509 | + | 0.318478i | ||||
\(928\) | −1.12428e6 | − | 3.08894e6i | −1.30551 | − | 3.58685i | ||||
\(929\) | −488394. | + | 582045.i | −0.565899 | + | 0.674412i | −0.970784 | − | 0.239956i | \(-0.922867\pi\) |
0.404885 | + | 0.914368i | \(0.367311\pi\) | |||||||
\(930\) | 9046.10 | + | 12919.2i | 0.0104591 | + | 0.0149372i | ||||
\(931\) | 169586. | − | 169586.i | 0.195655 | − | 0.195655i | ||||
\(932\) | 269196. | − | 1.52669e6i | 0.309911 | − | 1.75759i | ||||
\(933\) | −467381. | − | 125234.i | −0.536918 | − | 0.143867i | ||||
\(934\) | −765491. | + | 642323.i | −0.877498 | + | 0.736309i | ||||
\(935\) | 9618.32 | − | 16659.4i | 0.0110021 | − | 0.0190562i | ||||
\(936\) | 92256.6 | − | 53264.4i | 0.105304 | − | 0.0607974i | ||||
\(937\) | −1.12474e6 | − | 409371.i | −1.28107 | − | 0.466271i | −0.390283 | − | 0.920695i | \(-0.627623\pi\) |
−0.890786 | + | 0.454424i | \(0.849845\pi\) | |||||||
\(938\) | −564054. | + | 49348.3i | −0.641084 | + | 0.0560876i | ||||
\(939\) | 897199. | − | 240404.i | 1.01755 | − | 0.272653i | ||||
\(940\) | −8311.87 | + | 11870.6i | −0.00940682 | + | 0.0134343i | ||||
\(941\) | −29827.9 | − | 169162.i | −0.0336855 | − | 0.191040i | 0.963322 | − | 0.268349i | \(-0.0864782\pi\) |
−0.997007 | + | 0.0773094i | \(0.975367\pi\) | |||||||
\(942\) | −103750. | + | 1.18587e6i | −0.116919 | + | 1.33639i | ||||
\(943\) | −597307. | − | 278529.i | −0.671699 | − | 0.313218i | ||||
\(944\) | 459064. | − | 984467.i | 0.515145 | − | 1.10473i | ||||
\(945\) | −14156.4 | − | 1238.53i | −0.0158522 | − | 0.00138689i | ||||
\(946\) | 2.18351e6 | − | 385011.i | 2.43990 | − | 0.430220i | ||||
\(947\) | −746611. | − | 522782.i | −0.832519 | − | 0.582936i | 0.0777407 | − | 0.996974i | \(-0.475229\pi\) |
−0.910260 | + | 0.414037i | \(0.864118\pi\) | |||||||
\(948\) | 122087. | + | 455637.i | 0.135848 | + | 0.506993i | ||||
\(949\) | 2657.46 | + | 30374.9i | 0.00295076 | + | 0.0337273i | ||||
\(950\) | 176167. | − | 484014.i | 0.195198 | − | 0.536303i | ||||
\(951\) | −263560. | − | 456499.i | −0.291419 | − | 0.504753i | ||||
\(952\) | 5.40212e6 | + | 3.11891e6i | 5.96060 | + | 3.44135i | ||||
\(953\) | −571171. | − | 680695.i | −0.628899 | − | 0.749492i | 0.353675 | − | 0.935369i | \(-0.384932\pi\) |
−0.982573 | + | 0.185876i | \(0.940488\pi\) | |||||||
\(954\) | −17164.2 | + | 64057.5i | −0.0188593 | + | 0.0703839i | ||||
\(955\) | −19293.0 | − | 3401.88i | −0.0211540 | − | 0.00373003i | ||||
\(956\) | 1.07812e6 | + | 1.07812e6i | 1.17964 | + | 1.17964i | ||||
\(957\) | −789560. | + | 552856.i | −0.862107 | + | 0.603654i | ||||
\(958\) | −1.89913e6 | − | 1.59356e6i | −2.06930 | − | 1.73635i | ||||
\(959\) | −1.55337e6 | + | 565379.i | −1.68903 | + | 0.614756i | ||||
\(960\) | 65590.8 | − | 30585.5i | 0.0711705 | − | 0.0331874i | ||||
\(961\) | − | 657830.i | − | 0.712306i | ||||||
\(962\) | −45226.2 | − | 174877.i | −0.0488697 | − | 0.188966i | ||||
\(963\) | −222780. | −0.240228 | ||||||||
\(964\) | 1.33456e6 | + | 2.86198e6i | 1.43610 | + | 3.07973i | ||||
\(965\) | −2107.50 | − | 5790.30i | −0.00226314 | − | 0.00621794i | ||||
\(966\) | 2.90809e6 | − | 3.46573e6i | 3.11641 | − | 3.71399i | ||||
\(967\) | 878930. | + | 1.25524e6i | 0.939943 | + | 1.34238i | 0.939563 | + | 0.342377i | \(0.111232\pi\) |
0.000379922 | 1.00000i | \(0.499879\pi\) | ||||||||
\(968\) | 205009. | − | 205009.i | 0.218787 | − | 0.218787i | ||||
\(969\) | −77712.6 | + | 440730.i | −0.0827645 | + | 0.469381i | ||||
\(970\) | −8488.64 | − | 2274.52i | −0.00902183 | − | 0.00241739i | ||||
\(971\) | −296515. | + | 248806.i | −0.314491 | + | 0.263889i | −0.786345 | − | 0.617787i | \(-0.788029\pi\) |
0.471854 | + | 0.881677i | \(0.343585\pi\) | |||||||
\(972\) | −878049. | + | 1.52083e6i | −0.929365 | + | 1.60971i | ||||
\(973\) | 450109. | − | 259870.i | 0.475436 | − | 0.274493i | ||||
\(974\) | −207742. | − | 75612.1i | −0.218981 | − | 0.0797027i | ||||
\(975\) | 109924. | − | 9617.09i | 0.115633 | − | 0.0101166i | ||||
\(976\) | −2.80404e6 | + | 751341.i | −2.94364 | + | 0.788746i | ||||
\(977\) | 231928. | − | 331228.i | 0.242977 | − | 0.347007i | −0.679078 | − | 0.734066i | \(-0.737620\pi\) |
0.922055 | + | 0.387059i | \(0.126509\pi\) | |||||||
\(978\) | −189234. | − | 1.07320e6i | −0.197844 | − | 1.12203i | ||||
\(979\) | −16390.1 | + | 187340.i | −0.0171008 | + | 0.195463i | ||||
\(980\) | 34657.8 | + | 16161.2i | 0.0360868 | + | 0.0168276i | ||||
\(981\) | −240490. | + | 515733.i | −0.249896 | + | 0.535904i | ||||
\(982\) | 3.02972e6 | + | 265066.i | 3.14180 | + | 0.274872i | ||||
\(983\) | −1.11466e6 | + | 196545.i | −1.15355 | + | 0.203402i | −0.717525 | − | 0.696532i | \(-0.754725\pi\) |
−0.436025 | + | 0.899935i | \(0.643614\pi\) | |||||||
\(984\) | −1.56000e6 | − | 1.09233e6i | −1.61115 | − | 1.12814i | ||||
\(985\) | 6981.07 | + | 26053.7i | 0.00719531 | + | 0.0268533i | ||||
\(986\) | 201740. | + | 2.30590e6i | 0.207510 | + | 2.37185i | ||||
\(987\) | −209864. | + | 576596.i | −0.215429 | + | 0.591885i | ||||
\(988\) | 40081.1 | + | 69422.5i | 0.0410606 | + | 0.0711191i | ||||
\(989\) | −1.58551e6 | − | 915394.i | −1.62097 | − | 0.935869i | ||||
\(990\) | −6655.09 | − | 7931.23i | −0.00679022 | − | 0.00809227i | ||||
\(991\) | −352677. | + | 1.31621e6i | −0.359111 | + | 1.34022i | 0.516119 | + | 0.856517i | \(0.327376\pi\) |
−0.875231 | + | 0.483705i | \(0.839291\pi\) | |||||||
\(992\) | 2.28106e6 | + | 402213.i | 2.31800 | + | 0.408726i | ||||
\(993\) | 829410. | + | 829410.i | 0.841145 | + | 0.841145i | ||||
\(994\) | 636154. | − | 445440.i | 0.643857 | − | 0.450834i | ||||
\(995\) | 19181.7 | + | 16095.3i | 0.0193749 | + | 0.0162575i | ||||
\(996\) | −363268. | + | 132219.i | −0.366192 | + | 0.133283i | ||||
\(997\) | 992149. | − | 462647.i | 0.998129 | − | 0.465435i | 0.146292 | − | 0.989242i | \(-0.453266\pi\) |
0.851837 | + | 0.523806i | \(0.175488\pi\) | |||||||
\(998\) | 2.47821e6i | 2.48816i | ||||||||
\(999\) | 531029. | + | 540381.i | 0.532093 | + | 0.541463i |
(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 | 37.5.i.a.15.1 | yes | 144 | |
37.5 | odd | 36 | inner | 37.5.i.a.5.1 | ✓ | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
37.5.i.a.5.1 | ✓ | 144 | 37.5 | odd | 36 | inner | |
37.5.i.a.15.1 | yes | 144 | 1.1 | even | 1 | trivial |