Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [150,6,Mod(31,150)]
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([0, 4]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("150.31");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 150 = 2 \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 150.g (of order \(5\), 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: | \(24.0575729719\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 10 x^{19} + 67300 x^{18} - 605415 x^{17} + 1505002471 x^{16} - 12026298320 x^{15} + \cdots + 45\!\cdots\!05 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{8}\cdot 5^{10} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 121.1 | ||
Root | \(0.500000 - 105.104i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 150.121 |
Dual form | 150.6.g.a.31.1 |
$q$-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 \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.23607 | + | 3.80423i | −0.218508 | + | 0.672499i | ||||
\(3\) | 7.28115 | + | 5.29007i | 0.467086 | + | 0.339358i | ||||
\(4\) | −12.9443 | − | 9.40456i | −0.404508 | − | 0.293893i | ||||
\(5\) | −55.7220 | − | 4.47850i | −0.996786 | − | 0.0801138i | ||||
\(6\) | −29.1246 | + | 21.1603i | −0.330280 | + | 0.239962i | ||||
\(7\) | −89.1519 | −0.687679 | −0.343839 | − | 0.939028i | \(-0.611728\pi\) | ||||
−0.343839 | + | 0.939028i | \(0.611728\pi\) | |||||||
\(8\) | 51.7771 | − | 37.6183i | 0.286031 | − | 0.207813i | ||||
\(9\) | 25.0304 | + | 77.0356i | 0.103006 | + | 0.317019i | ||||
\(10\) | 85.9134 | − | 206.443i | 0.271682 | − | 0.652831i | ||||
\(11\) | −234.045 | + | 720.316i | −0.583200 | + | 1.79490i | 0.0231838 | + | 0.999731i | \(0.492620\pi\) |
−0.606383 | + | 0.795172i | \(0.707380\pi\) | |||||||
\(12\) | −44.4984 | − | 136.952i | −0.0892055 | − | 0.274546i | ||||
\(13\) | −137.908 | − | 424.438i | −0.226325 | − | 0.696555i | −0.998154 | − | 0.0607262i | \(-0.980658\pi\) |
0.771830 | − | 0.635829i | \(-0.219342\pi\) | |||||||
\(14\) | 110.198 | − | 339.154i | 0.150263 | − | 0.462463i | ||||
\(15\) | −382.029 | − | 327.382i | −0.438398 | − | 0.375687i | ||||
\(16\) | 79.1084 | + | 243.470i | 0.0772542 | + | 0.237764i | ||||
\(17\) | 484.961 | − | 352.345i | 0.406991 | − | 0.295696i | −0.365392 | − | 0.930854i | \(-0.619065\pi\) |
0.772382 | + | 0.635158i | \(0.219065\pi\) | |||||||
\(18\) | −324.000 | −0.235702 | ||||||||
\(19\) | 1874.18 | − | 1361.67i | 1.19104 | − | 0.865344i | 0.197669 | − | 0.980269i | \(-0.436663\pi\) |
0.993374 | + | 0.114925i | \(0.0366628\pi\) | |||||||
\(20\) | 679.163 | + | 582.012i | 0.379663 | + | 0.325355i | ||||
\(21\) | −649.129 | − | 471.620i | −0.321205 | − | 0.233369i | ||||
\(22\) | −2450.95 | − | 1780.72i | −1.07964 | − | 0.784402i | ||||
\(23\) | 1250.69 | − | 3849.23i | 0.492981 | − | 1.51724i | −0.327100 | − | 0.944990i | \(-0.606071\pi\) |
0.820080 | − | 0.572248i | \(-0.193929\pi\) | |||||||
\(24\) | 576.000 | 0.204124 | ||||||||
\(25\) | 3084.89 | + | 499.102i | 0.987164 | + | 0.159713i | ||||
\(26\) | 1785.12 | 0.517886 | ||||||||
\(27\) | −225.273 | + | 693.320i | −0.0594703 | + | 0.183031i | ||||
\(28\) | 1154.01 | + | 838.435i | 0.278172 | + | 0.202104i | ||||
\(29\) | −2866.44 | − | 2082.59i | −0.632919 | − | 0.459842i | 0.224492 | − | 0.974476i | \(-0.427928\pi\) |
−0.857410 | + | 0.514634i | \(0.827928\pi\) | |||||||
\(30\) | 1717.65 | − | 1048.66i | 0.348442 | − | 0.212731i | ||||
\(31\) | −1135.73 | + | 825.153i | −0.212261 | + | 0.154216i | −0.688836 | − | 0.724917i | \(-0.741878\pi\) |
0.476575 | + | 0.879134i | \(0.341878\pi\) | |||||||
\(32\) | −1024.00 | −0.176777 | ||||||||
\(33\) | −5514.63 | + | 4006.62i | −0.881519 | + | 0.640461i | ||||
\(34\) | 740.954 | + | 2280.42i | 0.109924 | + | 0.338313i | ||||
\(35\) | 4967.72 | + | 399.267i | 0.685468 | + | 0.0550925i | ||||
\(36\) | 400.486 | − | 1232.57i | 0.0515028 | − | 0.158509i | ||||
\(37\) | −4114.64 | − | 12663.5i | −0.494114 | − | 1.52073i | −0.818333 | − | 0.574744i | \(-0.805101\pi\) |
0.324219 | − | 0.945982i | \(-0.394899\pi\) | |||||||
\(38\) | 2863.49 | + | 8812.93i | 0.321690 | + | 0.990059i | ||||
\(39\) | 1241.17 | − | 3819.94i | 0.130669 | − | 0.402156i | ||||
\(40\) | −3053.60 | + | 1864.28i | −0.301760 | + | 0.184230i | ||||
\(41\) | −2344.43 | − | 7215.42i | −0.217810 | − | 0.670351i | −0.998942 | − | 0.0459849i | \(-0.985357\pi\) |
0.781132 | − | 0.624366i | \(-0.214643\pi\) | |||||||
\(42\) | 2596.51 | − | 1886.48i | 0.227126 | − | 0.165017i | ||||
\(43\) | 5609.41 | 0.462643 | 0.231322 | − | 0.972877i | \(-0.425695\pi\) | ||||
0.231322 | + | 0.972877i | \(0.425695\pi\) | |||||||
\(44\) | 9803.79 | − | 7122.87i | 0.763418 | − | 0.554656i | ||||
\(45\) | −1049.74 | − | 4404.68i | −0.0772770 | − | 0.324252i | ||||
\(46\) | 13097.4 | + | 9515.81i | 0.912620 | + | 0.663057i | ||||
\(47\) | 16588.0 | + | 12051.9i | 1.09534 | + | 0.795813i | 0.980293 | − | 0.197547i | \(-0.0632976\pi\) |
0.115049 | + | 0.993360i | \(0.463298\pi\) | |||||||
\(48\) | −711.975 | + | 2191.23i | −0.0446028 | + | 0.137273i | ||||
\(49\) | −8858.94 | −0.527098 | ||||||||
\(50\) | −5711.82 | + | 11118.7i | −0.323110 | + | 0.628968i | ||||
\(51\) | 5395.00 | 0.290447 | ||||||||
\(52\) | −2206.53 | + | 6791.00i | −0.113162 | + | 0.348278i | ||||
\(53\) | 29423.7 | + | 21377.6i | 1.43883 | + | 1.04537i | 0.988286 | + | 0.152611i | \(0.0487683\pi\) |
0.450539 | + | 0.892757i | \(0.351232\pi\) | |||||||
\(54\) | −2359.09 | − | 1713.98i | −0.110093 | − | 0.0799874i | ||||
\(55\) | 16267.4 | − | 39089.3i | 0.725122 | − | 1.74241i | ||||
\(56\) | −4616.03 | + | 3353.74i | −0.196697 | + | 0.142909i | ||||
\(57\) | 20849.5 | 0.849981 | ||||||||
\(58\) | 11465.8 | − | 8330.36i | 0.447541 | − | 0.325158i | ||||
\(59\) | −644.865 | − | 1984.69i | −0.0241179 | − | 0.0742272i | 0.938273 | − | 0.345895i | \(-0.112425\pi\) |
−0.962391 | + | 0.271668i | \(0.912425\pi\) | |||||||
\(60\) | 1866.20 | + | 7830.54i | 0.0669238 | + | 0.280810i | ||||
\(61\) | 15286.1 | − | 47045.9i | 0.525985 | − | 1.61881i | −0.236376 | − | 0.971662i | \(-0.575960\pi\) |
0.762360 | − | 0.647153i | \(-0.224040\pi\) | |||||||
\(62\) | −1735.23 | − | 5340.50i | −0.0573296 | − | 0.176442i | ||||
\(63\) | −2231.51 | − | 6867.87i | −0.0708348 | − | 0.218007i | ||||
\(64\) | 1265.73 | − | 3895.53i | 0.0386271 | − | 0.118882i | ||||
\(65\) | 5783.68 | + | 24268.1i | 0.169793 | + | 0.712448i | ||||
\(66\) | −8425.61 | − | 25931.4i | −0.238090 | − | 0.732766i | ||||
\(67\) | −38948.9 | + | 28298.0i | −1.06000 | + | 0.770138i | −0.974089 | − | 0.226164i | \(-0.927381\pi\) |
−0.0859152 | + | 0.996302i | \(0.527381\pi\) | |||||||
\(68\) | −9591.12 | −0.251534 | ||||||||
\(69\) | 29469.1 | − | 21410.6i | 0.745151 | − | 0.541384i | ||||
\(70\) | −7659.34 | + | 18404.8i | −0.186830 | + | 0.448938i | ||||
\(71\) | −25294.2 | − | 18377.3i | −0.595490 | − | 0.432649i | 0.248785 | − | 0.968559i | \(-0.419969\pi\) |
−0.844275 | + | 0.535910i | \(0.819969\pi\) | |||||||
\(72\) | 4193.94 | + | 3047.08i | 0.0953436 | + | 0.0692712i | ||||
\(73\) | −1847.34 | + | 5685.52i | −0.0405732 | + | 0.124871i | −0.969291 | − | 0.245915i | \(-0.920912\pi\) |
0.928718 | + | 0.370786i | \(0.120912\pi\) | |||||||
\(74\) | 53261.0 | 1.13065 | ||||||||
\(75\) | 19821.2 | + | 19953.3i | 0.406891 | + | 0.409601i | ||||
\(76\) | −37065.8 | −0.736105 | ||||||||
\(77\) | 20865.5 | − | 64217.5i | 0.401054 | − | 1.23432i | ||||
\(78\) | 12997.7 | + | 9443.41i | 0.241897 | + | 0.175749i | ||||
\(79\) | −2944.61 | − | 2139.38i | −0.0530835 | − | 0.0385674i | 0.560927 | − | 0.827865i | \(-0.310445\pi\) |
−0.614011 | + | 0.789298i | \(0.710445\pi\) | |||||||
\(80\) | −3317.69 | − | 13921.0i | −0.0579577 | − | 0.243189i | ||||
\(81\) | −5307.96 | + | 3856.46i | −0.0898908 | + | 0.0653095i | ||||
\(82\) | 30347.0 | 0.498403 | ||||||||
\(83\) | −40094.0 | + | 29130.0i | −0.638829 | + | 0.464136i | −0.859448 | − | 0.511224i | \(-0.829192\pi\) |
0.220619 | + | 0.975360i | \(0.429192\pi\) | |||||||
\(84\) | 3967.12 | + | 12209.5i | 0.0613447 | + | 0.188800i | ||||
\(85\) | −28601.0 | + | 17461.5i | −0.429372 | + | 0.262140i | ||||
\(86\) | −6933.62 | + | 21339.5i | −0.101091 | + | 0.311127i | ||||
\(87\) | −9853.94 | − | 30327.3i | −0.139576 | − | 0.429572i | ||||
\(88\) | 14978.9 | + | 46100.2i | 0.206192 | + | 0.634594i | ||||
\(89\) | 10172.3 | − | 31307.0i | 0.136126 | − | 0.418954i | −0.859637 | − | 0.510905i | \(-0.829310\pi\) |
0.995764 | + | 0.0919512i | \(0.0293104\pi\) | |||||||
\(90\) | 18053.9 | + | 1451.03i | 0.234945 | + | 0.0188830i | ||||
\(91\) | 12294.8 | + | 37839.4i | 0.155639 | + | 0.479006i | ||||
\(92\) | −52389.5 | + | 38063.2i | −0.645320 | + | 0.468852i | ||||
\(93\) | −12634.5 | −0.151478 | ||||||||
\(94\) | −66352.1 | + | 48207.6i | −0.774524 | + | 0.562724i | ||||
\(95\) | −110531. | + | 67481.6i | −1.25654 | + | 0.767143i | ||||
\(96\) | −7455.90 | − | 5417.03i | −0.0825700 | − | 0.0599906i | ||||
\(97\) | −122153. | − | 88749.4i | −1.31818 | − | 0.957714i | −0.999953 | − | 0.00970015i | \(-0.996912\pi\) |
−0.318228 | − | 0.948014i | \(-0.603088\pi\) | |||||||
\(98\) | 10950.2 | − | 33701.4i | 0.115175 | − | 0.354473i | ||||
\(99\) | −61348.2 | −0.629091 | ||||||||
\(100\) | −35237.8 | − | 35472.5i | −0.352378 | − | 0.354725i | ||||
\(101\) | −1956.27 | −0.0190821 | −0.00954105 | − | 0.999954i | \(-0.503037\pi\) | ||||
−0.00954105 | + | 0.999954i | \(0.503037\pi\) | |||||||
\(102\) | −6668.59 | + | 20523.8i | −0.0634649 | + | 0.195325i | ||||
\(103\) | −58000.2 | − | 42139.6i | −0.538686 | − | 0.391379i | 0.284910 | − | 0.958554i | \(-0.408036\pi\) |
−0.823597 | + | 0.567175i | \(0.808036\pi\) | |||||||
\(104\) | −23107.1 | − | 16788.3i | −0.209489 | − | 0.152203i | ||||
\(105\) | 34058.6 | + | 29186.7i | 0.301477 | + | 0.258352i | ||||
\(106\) | −117695. | + | 85510.4i | −1.01740 | + | 0.739187i | ||||
\(107\) | 134740. | 1.13772 | 0.568862 | − | 0.822433i | \(-0.307384\pi\) | ||||
0.568862 | + | 0.822433i | \(0.307384\pi\) | |||||||
\(108\) | 9436.37 | − | 6855.93i | 0.0778477 | − | 0.0565597i | ||||
\(109\) | −39994.2 | − | 123089.i | −0.322426 | − | 0.992326i | −0.972589 | − | 0.232531i | \(-0.925299\pi\) |
0.650163 | − | 0.759795i | \(-0.274701\pi\) | |||||||
\(110\) | 128597. | + | 110202.i | 1.01332 | + | 0.868374i | ||||
\(111\) | 37031.7 | − | 113972.i | 0.285277 | − | 0.877992i | ||||
\(112\) | −7052.66 | − | 21705.9i | −0.0531261 | − | 0.163505i | ||||
\(113\) | 67622.3 | + | 208120.i | 0.498189 | + | 1.53327i | 0.811928 | + | 0.583758i | \(0.198418\pi\) |
−0.313739 | + | 0.949509i | \(0.601582\pi\) | |||||||
\(114\) | −25771.4 | + | 79316.4i | −0.185728 | + | 0.571611i | ||||
\(115\) | −86929.7 | + | 208885.i | −0.612948 | + | 1.47287i | ||||
\(116\) | 17518.1 | + | 53915.2i | 0.120877 | + | 0.372020i | ||||
\(117\) | 29244.9 | − | 21247.7i | 0.197508 | − | 0.143498i | ||||
\(118\) | 8347.31 | 0.0551876 | ||||||||
\(119\) | −43235.2 | + | 31412.2i | −0.279879 | + | 0.203344i | ||||
\(120\) | −32095.9 | − | 2579.61i | −0.203468 | − | 0.0163532i | ||||
\(121\) | −333785. | − | 242509.i | −2.07254 | − | 1.50579i | ||||
\(122\) | 160078. | + | 116304.i | 0.973719 | + | 0.707448i | ||||
\(123\) | 21099.9 | − | 64938.8i | 0.125753 | − | 0.387027i | ||||
\(124\) | 22461.3 | 0.131184 | ||||||||
\(125\) | −169661. | − | 41626.6i | −0.971195 | − | 0.238285i | ||||
\(126\) | 28885.2 | 0.162087 | ||||||||
\(127\) | 27217.7 | − | 83767.3i | 0.149741 | − | 0.460856i | −0.847849 | − | 0.530238i | \(-0.822103\pi\) |
0.997590 | + | 0.0693817i | \(0.0221026\pi\) | |||||||
\(128\) | 13254.9 | + | 9630.27i | 0.0715077 | + | 0.0519534i | ||||
\(129\) | 40843.0 | + | 29674.2i | 0.216094 | + | 0.157002i | ||||
\(130\) | −99470.5 | − | 7994.66i | −0.516221 | − | 0.0414898i | ||||
\(131\) | 163559. | − | 118833.i | 0.832716 | − | 0.605004i | −0.0876104 | − | 0.996155i | \(-0.527923\pi\) |
0.920326 | + | 0.391151i | \(0.127923\pi\) | |||||||
\(132\) | 109063. | 0.544809 | ||||||||
\(133\) | −167087. | + | 121396.i | −0.819055 | + | 0.595078i | ||||
\(134\) | −59508.6 | − | 183148.i | −0.286297 | − | 0.881133i | ||||
\(135\) | 15657.7 | − | 37624.3i | 0.0739425 | − | 0.177678i | ||||
\(136\) | 11855.3 | − | 36486.8i | 0.0549622 | − | 0.169156i | ||||
\(137\) | −86675.9 | − | 266761.i | −0.394545 | − | 1.21429i | −0.929315 | − | 0.369288i | \(-0.879602\pi\) |
0.534770 | − | 0.844998i | \(-0.320398\pi\) | |||||||
\(138\) | 45024.8 | + | 138572.i | 0.201258 | + | 0.619410i | ||||
\(139\) | −68386.0 | + | 210470.i | −0.300214 | + | 0.923962i | 0.681207 | + | 0.732091i | \(0.261456\pi\) |
−0.981420 | + | 0.191871i | \(0.938544\pi\) | |||||||
\(140\) | −60548.6 | − | 51887.5i | −0.261086 | − | 0.223739i | ||||
\(141\) | 57024.5 | + | 175503.i | 0.241554 | + | 0.743426i | ||||
\(142\) | 101177. | − | 73509.2i | 0.421075 | − | 0.305929i | ||||
\(143\) | 338006. | 1.38224 | ||||||||
\(144\) | −16775.8 | + | 12188.3i | −0.0674181 | + | 0.0489821i | ||||
\(145\) | 150397. | + | 128883.i | 0.594044 | + | 0.509070i | ||||
\(146\) | −19345.6 | − | 14055.4i | −0.0751103 | − | 0.0545708i | ||||
\(147\) | −64503.3 | − | 46864.4i | −0.246200 | − | 0.178875i | ||||
\(148\) | −65834.2 | + | 202617.i | −0.247057 | + | 0.760363i | ||||
\(149\) | −276617. | −1.02074 | −0.510369 | − | 0.859956i | \(-0.670491\pi\) | ||||
−0.510369 | + | 0.859956i | \(0.670491\pi\) | |||||||
\(150\) | −100407. | + | 50740.9i | −0.364365 | + | 0.184132i | ||||
\(151\) | −295364. | −1.05418 | −0.527091 | − | 0.849809i | \(-0.676717\pi\) | ||||
−0.527091 | + | 0.849809i | \(0.676717\pi\) | |||||||
\(152\) | 45815.9 | − | 141007.i | 0.160845 | − | 0.495030i | ||||
\(153\) | 39281.8 | + | 28539.9i | 0.135664 | + | 0.0985653i | ||||
\(154\) | 218507. | + | 158754.i | 0.742443 | + | 0.539416i | ||||
\(155\) | 66980.4 | − | 40892.8i | 0.223933 | − | 0.136716i | ||||
\(156\) | −51990.9 | + | 37773.6i | −0.171047 | + | 0.124273i | ||||
\(157\) | 471191. | 1.52563 | 0.762813 | − | 0.646620i | \(-0.223818\pi\) | ||||
0.762813 | + | 0.646620i | \(0.223818\pi\) | |||||||
\(158\) | 11778.4 | − | 8557.53i | 0.0375357 | − | 0.0272713i | ||||
\(159\) | 101150. | + | 311307.i | 0.317302 | + | 0.976554i | ||||
\(160\) | 57059.3 | + | 4585.98i | 0.176208 | + | 0.0141623i | ||||
\(161\) | −111501. | + | 343166.i | −0.339012 | + | 1.04337i | ||||
\(162\) | −8109.84 | − | 24959.5i | −0.0242787 | − | 0.0747221i | ||||
\(163\) | −64579.5 | − | 198755.i | −0.190382 | − | 0.585935i | 0.809618 | − | 0.586958i | \(-0.199675\pi\) |
−0.999999 | + | 0.00102237i | \(0.999675\pi\) | |||||||
\(164\) | −37510.9 | + | 115447.i | −0.108905 | + | 0.335175i | ||||
\(165\) | 325230. | − | 198559.i | 0.929996 | − | 0.567781i | ||||
\(166\) | −61258.2 | − | 188533.i | −0.172542 | − | 0.531029i | ||||
\(167\) | 291242. | − | 211599.i | 0.808095 | − | 0.587115i | −0.105183 | − | 0.994453i | \(-0.533543\pi\) |
0.913278 | + | 0.407338i | \(0.133543\pi\) | |||||||
\(168\) | −51351.5 | −0.140372 | ||||||||
\(169\) | 139254. | − | 101174.i | 0.375051 | − | 0.272490i | ||||
\(170\) | −31074.6 | − | 130388.i | −0.0824676 | − | 0.346032i | ||||
\(171\) | 151809. | + | 110295.i | 0.397014 | + | 0.288448i | ||||
\(172\) | −72609.8 | − | 52754.1i | −0.187143 | − | 0.135967i | ||||
\(173\) | 79264.0 | − | 243949.i | 0.201354 | − | 0.619704i | −0.798489 | − | 0.602009i | \(-0.794367\pi\) |
0.999843 | − | 0.0176952i | \(-0.00563286\pi\) | |||||||
\(174\) | 127552. | 0.319385 | ||||||||
\(175\) | −275023. | − | 44495.9i | −0.678851 | − | 0.109831i | ||||
\(176\) | −193890. | −0.471818 | ||||||||
\(177\) | 5803.79 | − | 17862.2i | 0.0139245 | − | 0.0428551i | ||||
\(178\) | 106525. | + | 77395.1i | 0.252001 | + | 0.183090i | ||||
\(179\) | 129500. | + | 94087.1i | 0.302090 | + | 0.219481i | 0.728495 | − | 0.685051i | \(-0.240220\pi\) |
−0.426405 | + | 0.904532i | \(0.640220\pi\) | |||||||
\(180\) | −27835.9 | + | 66887.7i | −0.0640361 | + | 0.153874i | ||||
\(181\) | −269311. | + | 195666.i | −0.611023 | + | 0.443934i | −0.849775 | − | 0.527146i | \(-0.823262\pi\) |
0.238751 | + | 0.971081i | \(0.423262\pi\) | |||||||
\(182\) | −159147. | −0.356139 | ||||||||
\(183\) | 360177. | − | 261684.i | 0.795038 | − | 0.577629i | ||||
\(184\) | −80044.1 | − | 246350.i | −0.174295 | − | 0.536425i | ||||
\(185\) | 172562. | + | 724066.i | 0.370695 | + | 1.55542i | ||||
\(186\) | 15617.1 | − | 48064.5i | 0.0330993 | − | 0.101869i | ||||
\(187\) | 140297. | + | 431789.i | 0.293389 | + | 0.902959i | ||||
\(188\) | −101377. | − | 312006.i | −0.209192 | − | 0.643826i | ||||
\(189\) | 20083.6 | − | 61810.8i | 0.0408965 | − | 0.125866i | ||||
\(190\) | −120091. | − | 503898.i | −0.241338 | − | 1.01265i | ||||
\(191\) | −239358. | − | 736669.i | −0.474750 | − | 1.46113i | −0.846295 | − | 0.532715i | \(-0.821172\pi\) |
0.371545 | − | 0.928415i | \(-0.378828\pi\) | |||||||
\(192\) | 29823.6 | − | 21668.1i | 0.0583858 | − | 0.0424197i | ||||
\(193\) | 327082. | 0.632068 | 0.316034 | − | 0.948748i | \(-0.397649\pi\) | ||||
0.316034 | + | 0.948748i | \(0.397649\pi\) | |||||||
\(194\) | 488612. | − | 354998.i | 0.932095 | − | 0.677206i | ||||
\(195\) | −86268.3 | + | 207296.i | −0.162467 | + | 0.390395i | ||||
\(196\) | 114672. | + | 83314.4i | 0.213216 | + | 0.154910i | ||||
\(197\) | −332092. | − | 241279.i | −0.609667 | − | 0.442949i | 0.239630 | − | 0.970864i | \(-0.422974\pi\) |
−0.849297 | + | 0.527915i | \(0.822974\pi\) | |||||||
\(198\) | 75830.5 | − | 233382.i | 0.137461 | − | 0.423063i | ||||
\(199\) | −97800.2 | −0.175068 | −0.0875341 | − | 0.996162i | \(-0.527899\pi\) | ||||
−0.0875341 | + | 0.996162i | \(0.527899\pi\) | |||||||
\(200\) | 178502. | − | 90206.0i | 0.315550 | − | 0.159463i | ||||
\(201\) | −433291. | −0.756466 | ||||||||
\(202\) | 2418.09 | − | 7442.11i | 0.00416959 | − | 0.0128327i | ||||
\(203\) | 255549. | + | 185667.i | 0.435245 | + | 0.316224i | ||||
\(204\) | −69834.4 | − | 50737.6i | −0.117488 | − | 0.0853601i | ||||
\(205\) | 98322.3 | + | 412558.i | 0.163406 | + | 0.685646i | ||||
\(206\) | 232001. | − | 168558.i | 0.380909 | − | 0.276746i | ||||
\(207\) | 327833. | 0.531773 | ||||||||
\(208\) | 92428.4 | − | 67153.1i | 0.148131 | − | 0.107624i | ||||
\(209\) | 542192. | + | 1.66869e6i | 0.858592 | + | 2.64248i | ||||
\(210\) | −153132. | + | 93489.9i | −0.239616 | + | 0.146291i | ||||
\(211\) | 334706. | − | 1.03012e6i | 0.517556 | − | 1.59287i | −0.261026 | − | 0.965332i | \(-0.584061\pi\) |
0.778582 | − | 0.627542i | \(-0.215939\pi\) | |||||||
\(212\) | −179822. | − | 553435.i | −0.274791 | − | 0.845720i | ||||
\(213\) | −86953.7 | − | 267616.i | −0.131322 | − | 0.404169i | ||||
\(214\) | −166548. | + | 512582.i | −0.248602 | + | 0.765118i | ||||
\(215\) | −312568. | − | 25121.7i | −0.461156 | − | 0.0370641i | ||||
\(216\) | 14417.5 | + | 44372.5i | 0.0210259 | + | 0.0647112i | ||||
\(217\) | 101252. | − | 73564.0i | 0.145967 | − | 0.106051i | ||||
\(218\) | 517695. | 0.737790 | ||||||||
\(219\) | −43527.5 | + | 31624.6i | −0.0613273 | + | 0.0445569i | ||||
\(220\) | −578187. | + | 352995.i | −0.805400 | + | 0.491713i | ||||
\(221\) | −216428. | − | 157244.i | −0.298081 | − | 0.216568i | ||||
\(222\) | 387801. | + | 281754.i | 0.528113 | + | 0.383697i | ||||
\(223\) | 179902. | − | 553682.i | 0.242256 | − | 0.745587i | −0.753820 | − | 0.657081i | \(-0.771791\pi\) |
0.996076 | − | 0.0885055i | \(-0.0282091\pi\) | |||||||
\(224\) | 91291.6 | 0.121566 | ||||||||
\(225\) | 38767.3 | + | 250139.i | 0.0510515 | + | 0.329401i | ||||
\(226\) | −875321. | −1.13998 | ||||||||
\(227\) | 195640. | − | 602117.i | 0.251995 | − | 0.775562i | −0.742411 | − | 0.669944i | \(-0.766318\pi\) |
0.994407 | − | 0.105618i | \(-0.0336820\pi\) | |||||||
\(228\) | −269882. | − | 196081.i | −0.343825 | − | 0.249803i | ||||
\(229\) | 445772. | + | 323872.i | 0.561725 | + | 0.408117i | 0.832090 | − | 0.554641i | \(-0.187144\pi\) |
−0.270365 | + | 0.962758i | \(0.587144\pi\) | |||||||
\(230\) | −687196. | − | 588897.i | −0.856567 | − | 0.734040i | ||||
\(231\) | 491640. | − | 357197.i | 0.606202 | − | 0.440432i | ||||
\(232\) | −226759. | −0.276596 | ||||||||
\(233\) | −672667. | + | 488721.i | −0.811727 | + | 0.589754i | −0.914331 | − | 0.404968i | \(-0.867283\pi\) |
0.102604 | + | 0.994722i | \(0.467283\pi\) | |||||||
\(234\) | 44682.2 | + | 137518.i | 0.0533452 | + | 0.164180i | ||||
\(235\) | −870343. | − | 745845.i | −1.02807 | − | 0.881007i | ||||
\(236\) | −10317.8 | + | 31755.1i | −0.0120589 | + | 0.0371136i | ||||
\(237\) | −10122.7 | − | 31154.3i | −0.0117064 | − | 0.0360286i | ||||
\(238\) | −66057.5 | − | 203304.i | −0.0755927 | − | 0.232650i | ||||
\(239\) | 161932. | − | 498374.i | 0.183374 | − | 0.564366i | −0.816543 | − | 0.577285i | \(-0.804112\pi\) |
0.999917 | + | 0.0129186i | \(0.00411223\pi\) | |||||||
\(240\) | 49486.1 | − | 118911.i | 0.0554569 | − | 0.133259i | ||||
\(241\) | −252983. | − | 778601.i | −0.280575 | − | 0.863520i | −0.987690 | − | 0.156422i | \(-0.950004\pi\) |
0.707116 | − | 0.707098i | \(-0.249996\pi\) | |||||||
\(242\) | 1.33514e6 | − | 970035.i | 1.46551 | − | 1.06475i | ||||
\(243\) | −59049.0 | −0.0641500 | ||||||||
\(244\) | −640314. | + | 465215.i | −0.688523 | + | 0.500241i | ||||
\(245\) | 493638. | + | 39674.7i | 0.525404 | + | 0.0422278i | ||||
\(246\) | 220961. | + | 160538.i | 0.232797 | + | 0.169137i | ||||
\(247\) | −836410. | − | 607687.i | −0.872322 | − | 0.633779i | ||||
\(248\) | −27763.8 | + | 85448.0i | −0.0286648 | + | 0.0882212i | ||||
\(249\) | −446030. | −0.455896 | ||||||||
\(250\) | 368069. | − | 593975.i | 0.372460 | − | 0.601060i | ||||
\(251\) | 753920. | 0.755338 | 0.377669 | − | 0.925941i | \(-0.376726\pi\) | ||||
0.377669 | + | 0.925941i | \(0.376726\pi\) | |||||||
\(252\) | −35704.1 | + | 109886.i | −0.0354174 | + | 0.109004i | ||||
\(253\) | 2.47994e6 | + | 1.80178e6i | 2.43579 | + | 1.76971i | ||||
\(254\) | 285027. | + | 207084.i | 0.277205 | + | 0.201402i | ||||
\(255\) | −300620. | − | 24161.5i | −0.289513 | − | 0.0232688i | ||||
\(256\) | −53019.7 | + | 38521.1i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | −246738. | −0.233026 | −0.116513 | − | 0.993189i | \(-0.537172\pi\) | ||||
−0.116513 | + | 0.993189i | \(0.537172\pi\) | |||||||
\(258\) | −163372. | + | 118697.i | −0.152802 | + | 0.111017i | ||||
\(259\) | 366828. | + | 1.12898e6i | 0.339792 | + | 1.04577i | ||||
\(260\) | 153366. | − | 368526.i | 0.140700 | − | 0.338092i | ||||
\(261\) | 88685.5 | − | 272946.i | 0.0805845 | − | 0.248013i | ||||
\(262\) | 249896. | + | 769102.i | 0.224909 | + | 0.692198i | ||||
\(263\) | 512302. | + | 1.57670e6i | 0.456706 | + | 1.40560i | 0.869121 | + | 0.494600i | \(0.164685\pi\) |
−0.412415 | + | 0.910996i | \(0.635315\pi\) | |||||||
\(264\) | −134810. | + | 414902.i | −0.119045 | + | 0.366383i | ||||
\(265\) | −1.54381e6 | − | 1.32298e6i | −1.35045 | − | 1.15728i | ||||
\(266\) | −255286. | − | 785689.i | −0.221219 | − | 0.680843i | ||||
\(267\) | 239682. | − | 174139.i | 0.205758 | − | 0.149492i | ||||
\(268\) | 770295. | 0.655119 | ||||||||
\(269\) | −1.06046e6 | + | 770466.i | −0.893535 | + | 0.649191i | −0.936797 | − | 0.349873i | \(-0.886225\pi\) |
0.0432623 | + | 0.999064i | \(0.486225\pi\) | |||||||
\(270\) | 123777. | + | 106072.i | 0.103331 | + | 0.0885503i | ||||
\(271\) | 761664. | + | 553382.i | 0.630000 | + | 0.457722i | 0.856400 | − | 0.516313i | \(-0.172696\pi\) |
−0.226400 | + | 0.974034i | \(0.572696\pi\) | |||||||
\(272\) | 124150. | + | 90200.3i | 0.101748 | + | 0.0739240i | ||||
\(273\) | −110653. | + | 340555.i | −0.0898579 | + | 0.276554i | ||||
\(274\) | 1.12196e6 | 0.902817 | ||||||||
\(275\) | −1.08151e6 | + | 2.10528e6i | −0.862382 | + | 1.67872i | ||||
\(276\) | −582813. | −0.460529 | ||||||||
\(277\) | −205707. | + | 633102.i | −0.161083 | + | 0.495763i | −0.998726 | − | 0.0504548i | \(-0.983933\pi\) |
0.837643 | + | 0.546218i | \(0.183933\pi\) | |||||||
\(278\) | −716148. | − | 520312.i | −0.555764 | − | 0.403786i | ||||
\(279\) | −91993.8 | − | 66837.4i | −0.0707535 | − | 0.0514054i | ||||
\(280\) | 272234. | − | 166204.i | 0.207514 | − | 0.126691i | ||||
\(281\) | −497315. | + | 361321.i | −0.375721 | + | 0.272978i | −0.759579 | − | 0.650415i | \(-0.774595\pi\) |
0.383858 | + | 0.923392i | \(0.374595\pi\) | |||||||
\(282\) | −738141. | −0.552734 | ||||||||
\(283\) | 745016. | − | 541286.i | 0.552968 | − | 0.401754i | −0.275911 | − | 0.961183i | \(-0.588979\pi\) |
0.828878 | + | 0.559429i | \(0.188979\pi\) | |||||||
\(284\) | 154584. | + | 475761.i | 0.113729 | + | 0.350020i | ||||
\(285\) | −1.16178e6 | − | 93374.6i | −0.847249 | − | 0.0680952i | ||||
\(286\) | −417798. | + | 1.28585e6i | −0.302031 | + | 0.929556i | ||||
\(287\) | 209011. | + | 643269.i | 0.149783 | + | 0.460986i | ||||
\(288\) | −25631.1 | − | 78884.4i | −0.0182090 | − | 0.0560415i | ||||
\(289\) | −327720. | + | 1.00862e6i | −0.230812 | + | 0.710365i | ||||
\(290\) | −676203. | + | 412835.i | −0.472152 | + | 0.288258i | ||||
\(291\) | −419925. | − | 1.29240e6i | −0.290696 | − | 0.894670i | ||||
\(292\) | 77382.3 | − | 56221.5i | 0.0531110 | − | 0.0385874i | ||||
\(293\) | 1.46935e6 | 0.999897 | 0.499949 | − | 0.866055i | \(-0.333352\pi\) | ||||
0.499949 | + | 0.866055i | \(0.333352\pi\) | |||||||
\(294\) | 258013. | − | 187457.i | 0.174090 | − | 0.126484i | ||||
\(295\) | 27044.8 | + | 113479.i | 0.0180937 | + | 0.0759208i | ||||
\(296\) | −689425. | − | 500896.i | −0.457359 | − | 0.332291i | ||||
\(297\) | −446685. | − | 324536.i | −0.293840 | − | 0.213487i | ||||
\(298\) | 341918. | − | 1.05232e6i | 0.223039 | − | 0.686444i | ||||
\(299\) | −1.80624e6 | −1.16841 | ||||||||
\(300\) | −68919.6 | − | 444691.i | −0.0442119 | − | 0.285269i | ||||
\(301\) | −500090. | −0.318150 | ||||||||
\(302\) | 365090. | − | 1.12363e6i | 0.230347 | − | 0.708935i | ||||
\(303\) | −14243.9 | − | 10348.8i | −0.00891299 | − | 0.00647566i | ||||
\(304\) | 479790. | + | 348588.i | 0.297761 | + | 0.216336i | ||||
\(305\) | −1.06247e6 | + | 2.55303e6i | −0.653983 | + | 1.57147i | ||||
\(306\) | −157127. | + | 114160.i | −0.0959286 | + | 0.0696962i | ||||
\(307\) | −1.31520e6 | −0.796429 | −0.398214 | − | 0.917292i | \(-0.630370\pi\) | ||||
−0.398214 | + | 0.917292i | \(0.630370\pi\) | |||||||
\(308\) | −874027. | + | 635018.i | −0.524986 | + | 0.381425i | ||||
\(309\) | −199387. | − | 613649.i | −0.118796 | − | 0.365615i | ||||
\(310\) | 72773.3 | + | 305355.i | 0.0430099 | + | 0.180468i | ||||
\(311\) | −692358. | + | 2.13086e6i | −0.405910 | + | 1.24926i | 0.514223 | + | 0.857657i | \(0.328080\pi\) |
−0.920133 | + | 0.391606i | \(0.871920\pi\) | |||||||
\(312\) | −79435.1 | − | 244476.i | −0.0461983 | − | 0.142184i | ||||
\(313\) | 15584.5 | + | 47964.0i | 0.00899147 | + | 0.0276729i | 0.955452 | − | 0.295148i | \(-0.0953689\pi\) |
−0.946460 | + | 0.322821i | \(0.895369\pi\) | |||||||
\(314\) | −582424. | + | 1.79252e6i | −0.333361 | + | 1.02598i | ||||
\(315\) | 93586.3 | + | 392685.i | 0.0531417 | + | 0.222981i | ||||
\(316\) | 17995.8 | + | 55385.5i | 0.0101380 | + | 0.0312017i | ||||
\(317\) | −2.08686e6 | + | 1.51619e6i | −1.16639 | + | 0.847434i | −0.990573 | − | 0.136988i | \(-0.956258\pi\) |
−0.175821 | + | 0.984422i | \(0.556258\pi\) | |||||||
\(318\) | −1.30931e6 | −0.726064 | ||||||||
\(319\) | 2.17100e6 | − | 1.57732e6i | 1.19449 | − | 0.867848i | ||||
\(320\) | −87975.3 | + | 211398.i | −0.0480271 | + | 0.115405i | ||||
\(321\) | 981063. | + | 712784.i | 0.531416 | + | 0.386096i | ||||
\(322\) | −1.16766e6 | − | 848352.i | −0.627589 | − | 0.455970i | ||||
\(323\) | 429127. | − | 1.32072e6i | 0.228865 | − | 0.704374i | ||||
\(324\) | 104976. | 0.0555556 | ||||||||
\(325\) | −213593. | − | 1.37817e6i | −0.112171 | − | 0.723761i | ||||
\(326\) | 835935. | 0.435641 | ||||||||
\(327\) | 359947. | − | 1.10780e6i | 0.186153 | − | 0.572920i | ||||
\(328\) | −392820. | − | 285400.i | −0.201608 | − | 0.146477i | ||||
\(329\) | −1.47885e6 | − | 1.07445e6i | −0.753243 | − | 0.547263i | ||||
\(330\) | 353358. | + | 1.48268e6i | 0.178620 | + | 0.749485i | ||||
\(331\) | 755405. | − | 548834.i | 0.378974 | − | 0.275341i | −0.381948 | − | 0.924184i | \(-0.624747\pi\) |
0.760923 | + | 0.648843i | \(0.224747\pi\) | |||||||
\(332\) | 792943. | 0.394818 | ||||||||
\(333\) | 872553. | − | 633947.i | 0.431202 | − | 0.313287i | ||||
\(334\) | 444977. | + | 1.36950e6i | 0.218259 | + | 0.671732i | ||||
\(335\) | 2.29704e6 | − | 1.40239e6i | 1.11830 | − | 0.682742i | ||||
\(336\) | 63473.9 | − | 195353.i | 0.0306724 | − | 0.0943998i | ||||
\(337\) | 110809. | + | 341035.i | 0.0531496 | + | 0.163578i | 0.974108 | − | 0.226083i | \(-0.0725922\pi\) |
−0.920958 | + | 0.389661i | \(0.872592\pi\) | |||||||
\(338\) | 212761. | + | 654810.i | 0.101298 | + | 0.311762i | ||||
\(339\) | −608601. | + | 1.87308e6i | −0.287629 | + | 0.885232i | ||||
\(340\) | 534436. | + | 42953.8i | 0.250726 | + | 0.0201513i | ||||
\(341\) | −328560. | − | 1.01120e6i | −0.153013 | − | 0.470926i | ||||
\(342\) | −607235. | + | 441182.i | −0.280732 | + | 0.203963i | ||||
\(343\) | 2.28817e6 | 1.05015 | ||||||||
\(344\) | 290439. | − | 211016.i | 0.132330 | − | 0.0961435i | ||||
\(345\) | −1.73797e6 | + | 1.06106e6i | −0.786128 | + | 0.479947i | ||||
\(346\) | 830063. | + | 603076.i | 0.372753 | + | 0.270821i | ||||
\(347\) | −2.86454e6 | − | 2.08121e6i | −1.27712 | − | 0.927880i | −0.277655 | − | 0.960681i | \(-0.589557\pi\) |
−0.999462 | + | 0.0328010i | \(0.989557\pi\) | |||||||
\(348\) | −157663. | + | 485237.i | −0.0697882 | + | 0.214786i | ||||
\(349\) | 3.01901e6 | 1.32679 | 0.663394 | − | 0.748270i | \(-0.269115\pi\) | ||||
0.663394 | + | 0.748270i | \(0.269115\pi\) | |||||||
\(350\) | 509220. | − | 991252.i | 0.222196 | − | 0.432528i | ||||
\(351\) | 325338. | 0.140951 | ||||||||
\(352\) | 239662. | − | 737603.i | 0.103096 | − | 0.317297i | ||||
\(353\) | −819319. | − | 595270.i | −0.349958 | − | 0.254260i | 0.398893 | − | 0.916997i | \(-0.369394\pi\) |
−0.748852 | + | 0.662738i | \(0.769394\pi\) | |||||||
\(354\) | 60778.1 | + | 44157.8i | 0.0257774 | + | 0.0187284i | ||||
\(355\) | 1.32714e6 | + | 1.13730e6i | 0.558915 | + | 0.478965i | ||||
\(356\) | −426101. | + | 309580.i | −0.178192 | + | 0.129464i | ||||
\(357\) | −480975. | −0.199734 | ||||||||
\(358\) | −517999. | + | 376349.i | −0.213610 | + | 0.155197i | ||||
\(359\) | −1.22769e6 | − | 3.77845e6i | −0.502752 | − | 1.54731i | −0.804517 | − | 0.593930i | \(-0.797576\pi\) |
0.301765 | − | 0.953382i | \(-0.402424\pi\) | |||||||
\(360\) | −220049. | − | 188572.i | −0.0894875 | − | 0.0766868i | ||||
\(361\) | 893247. | − | 2.74913e6i | 0.360748 | − | 1.11027i | ||||
\(362\) | −411471. | − | 1.26638e6i | −0.165032 | − | 0.507916i | ||||
\(363\) | −1.14745e6 | − | 3.53149e6i | −0.457054 | − | 1.40667i | ||||
\(364\) | 196716. | − | 605431.i | 0.0778193 | − | 0.239503i | ||||
\(365\) | 128400. | − | 308535.i | 0.0504467 | − | 0.121220i | ||||
\(366\) | 550301. | + | 1.69365e6i | 0.214732 | + | 0.660878i | ||||
\(367\) | −287692. | + | 209020.i | −0.111497 | + | 0.0810071i | −0.642136 | − | 0.766590i | \(-0.721952\pi\) |
0.530640 | + | 0.847598i | \(0.321952\pi\) | |||||||
\(368\) | 1.03611e6 | 0.398830 | ||||||||
\(369\) | 497162. | − | 361210.i | 0.190078 | − | 0.138100i | ||||
\(370\) | −2.96781e6 | − | 238529.i | −1.12702 | − | 0.0905810i | ||||
\(371\) | −2.62318e6 | − | 1.90585e6i | −0.989450 | − | 0.718877i | ||||
\(372\) | 163545. | + | 118822.i | 0.0612743 | + | 0.0445184i | ||||
\(373\) | 23750.8 | − | 73097.6i | 0.00883908 | − | 0.0272039i | −0.946540 | − | 0.322587i | \(-0.895447\pi\) |
0.955379 | + | 0.295383i | \(0.0954474\pi\) | |||||||
\(374\) | −1.81604e6 | −0.671346 | ||||||||
\(375\) | −1.01512e6 | − | 1.20061e6i | −0.372768 | − | 0.440882i | ||||
\(376\) | 1.31225e6 | 0.478682 | ||||||||
\(377\) | −488624. | + | 1.50383e6i | −0.177061 | + | 0.544936i | ||||
\(378\) | 210318. | + | 152805.i | 0.0757088 | + | 0.0550057i | ||||
\(379\) | −3.21242e6 | − | 2.33396e6i | −1.14877 | − | 0.834632i | −0.160455 | − | 0.987043i | \(-0.551296\pi\) |
−0.988317 | + | 0.152411i | \(0.951296\pi\) | |||||||
\(380\) | 2.06538e6 | + | 165999.i | 0.733739 | + | 0.0589722i | ||||
\(381\) | 641311. | − | 465939.i | 0.226337 | − | 0.164444i | ||||
\(382\) | 3.09832e6 | 1.08634 | ||||||||
\(383\) | −492741. | + | 357998.i | −0.171641 | + | 0.124705i | −0.670289 | − | 0.742100i | \(-0.733830\pi\) |
0.498648 | + | 0.866805i | \(0.333830\pi\) | |||||||
\(384\) | 45566.4 | + | 140239.i | 0.0157695 | + | 0.0485334i | ||||
\(385\) | −1.45027e6 | + | 3.48488e6i | −0.498651 | + | 1.19822i | ||||
\(386\) | −404296. | + | 1.24430e6i | −0.138112 | + | 0.425065i | ||||
\(387\) | 140406. | + | 432124.i | 0.0476549 | + | 0.146667i | ||||
\(388\) | 746533. | + | 2.29759e6i | 0.251750 | + | 0.774807i | ||||
\(389\) | −714457. | + | 2.19887e6i | −0.239388 | + | 0.736760i | 0.757121 | + | 0.653275i | \(0.226605\pi\) |
−0.996509 | + | 0.0834857i | \(0.973395\pi\) | |||||||
\(390\) | −681968. | − | 584416.i | −0.227040 | − | 0.194563i | ||||
\(391\) | −749719. | − | 2.30740e6i | −0.248003 | − | 0.763274i | ||||
\(392\) | −458690. | + | 333258.i | −0.150766 | + | 0.109538i | ||||
\(393\) | 1.81953e6 | 0.594263 | ||||||||
\(394\) | 1.32837e6 | − | 965116.i | 0.431100 | − | 0.313212i | ||||
\(395\) | 154498. | + | 132398.i | 0.0498231 | + | 0.0426962i | ||||
\(396\) | 794107. | + | 576953.i | 0.254473 | + | 0.184885i | ||||
\(397\) | 4.15823e6 | + | 3.02113e6i | 1.32414 | + | 0.962041i | 0.999871 | + | 0.0160748i | \(0.00511698\pi\) |
0.324265 | + | 0.945966i | \(0.394883\pi\) | |||||||
\(398\) | 120888. | − | 372054.i | 0.0382538 | − | 0.117733i | ||||
\(399\) | −1.85878e6 | −0.584514 | ||||||||
\(400\) | 122524. | + | 790562.i | 0.0382887 | + | 0.247051i | ||||
\(401\) | 4.56282e6 | 1.41701 | 0.708504 | − | 0.705707i | \(-0.249370\pi\) | ||||
0.708504 | + | 0.705707i | \(0.249370\pi\) | |||||||
\(402\) | 535577. | − | 1.64834e6i | 0.165294 | − | 0.508722i | ||||
\(403\) | 506852. | + | 368249.i | 0.155460 | + | 0.112948i | ||||
\(404\) | 25322.5 | + | 18397.9i | 0.00771887 | + | 0.00560809i | ||||
\(405\) | 313041. | − | 191118.i | 0.0948340 | − | 0.0578981i | ||||
\(406\) | −1.02219e6 | + | 742668.i | −0.307764 | + | 0.223604i | ||||
\(407\) | 1.00848e7 | 3.01772 | ||||||||
\(408\) | 279338. | − | 202951.i | 0.0830766 | − | 0.0603587i | ||||
\(409\) | 7245.72 | + | 22300.0i | 0.00214177 | + | 0.00659169i | 0.952122 | − | 0.305719i | \(-0.0988969\pi\) |
−0.949980 | + | 0.312311i | \(0.898897\pi\) | |||||||
\(410\) | −1.69100e6 | − | 135909.i | −0.496801 | − | 0.0399290i | ||||
\(411\) | 780083. | − | 2.40085e6i | 0.227791 | − | 0.701068i | ||||
\(412\) | 354465. | + | 1.09093e6i | 0.102880 | + | 0.316632i | ||||
\(413\) | 57491.0 | + | 176939.i | 0.0165853 | + | 0.0510444i | ||||
\(414\) | −405223. | + | 1.24715e6i | −0.116197 | + | 0.357616i | ||||
\(415\) | 2.36458e6 | − | 1.44362e6i | 0.673959 | − | 0.411465i | ||||
\(416\) | 141218. | + | 434624.i | 0.0400089 | + | 0.123135i | ||||
\(417\) | −1.61133e6 | + | 1.17070e6i | −0.453780 | + | 0.329690i | ||||
\(418\) | −7.01828e6 | −1.96467 | ||||||||
\(419\) | 2.32598e6 | − | 1.68993e6i | 0.647249 | − | 0.470254i | −0.215084 | − | 0.976596i | \(-0.569002\pi\) |
0.862333 | + | 0.506341i | \(0.169002\pi\) | |||||||
\(420\) | −166376. | − | 698107.i | −0.0460221 | − | 0.193107i | ||||
\(421\) | −1.63474e6 | − | 1.18771e6i | −0.449513 | − | 0.326591i | 0.339890 | − | 0.940465i | \(-0.389610\pi\) |
−0.789404 | + | 0.613875i | \(0.789610\pi\) | |||||||
\(422\) | 3.50509e6 | + | 2.54660e6i | 0.958115 | + | 0.696112i | ||||
\(423\) | −513221. | + | 1.57953e6i | −0.139461 | + | 0.429217i | ||||
\(424\) | 2.32766e6 | 0.628790 | ||||||||
\(425\) | 1.67191e6 | − | 844899.i | 0.448993 | − | 0.226899i | ||||
\(426\) | 1.12555e6 | 0.300498 | ||||||||
\(427\) | −1.36279e6 | + | 4.19423e6i | −0.361708 | + | 1.11322i | ||||
\(428\) | −1.74411e6 | − | 1.26717e6i | −0.460219 | − | 0.334369i | ||||
\(429\) | 2.46107e6 | + | 1.78807e6i | 0.645626 | + | 0.469075i | ||||
\(430\) | 481924. | − | 1.15803e6i | 0.125692 | − | 0.302028i | ||||
\(431\) | −3.51203e6 | + | 2.55164e6i | −0.910679 | + | 0.661647i | −0.941187 | − | 0.337887i | \(-0.890288\pi\) |
0.0305073 | + | 0.999535i | \(0.490288\pi\) | |||||||
\(432\) | −186624. | −0.0481125 | ||||||||
\(433\) | 1.41545e6 | − | 1.02839e6i | 0.362807 | − | 0.263595i | −0.391415 | − | 0.920214i | \(-0.628014\pi\) |
0.754222 | + | 0.656620i | \(0.228014\pi\) | |||||||
\(434\) | 154699. | + | 476116.i | 0.0394243 | + | 0.121336i | ||||
\(435\) | 413261. | + | 1.73403e6i | 0.104713 | + | 0.439373i | ||||
\(436\) | −639907. | + | 1.96943e6i | −0.161213 | + | 0.496163i | ||||
\(437\) | −2.89737e6 | − | 8.91717e6i | −0.725771 | − | 2.23369i | ||||
\(438\) | −66504.1 | − | 204679.i | −0.0165639 | − | 0.0509785i | ||||
\(439\) | 1.48226e6 | − | 4.56192e6i | 0.367081 | − | 1.12976i | −0.581586 | − | 0.813485i | \(-0.697568\pi\) |
0.948667 | − | 0.316275i | \(-0.102432\pi\) | |||||||
\(440\) | −628193. | − | 2.63588e6i | −0.154690 | − | 0.649073i | ||||
\(441\) | −221743. | − | 682453.i | −0.0542941 | − | 0.167100i | ||||
\(442\) | 865714. | − | 628978.i | 0.210775 | − | 0.153137i | ||||
\(443\) | 4.01536e6 | 0.972110 | 0.486055 | − | 0.873928i | \(-0.338435\pi\) | ||||
0.486055 | + | 0.873928i | \(0.338435\pi\) | |||||||
\(444\) | −1.55121e6 | + | 1.12702e6i | −0.373432 | + | 0.271314i | ||||
\(445\) | −707027. | + | 1.69893e6i | −0.169253 | + | 0.406702i | ||||
\(446\) | 1.88396e6 | + | 1.36878e6i | 0.448471 | + | 0.325833i | ||||
\(447\) | −2.01409e6 | − | 1.46333e6i | −0.476772 | − | 0.346395i | ||||
\(448\) | −112843. | + | 347294.i | −0.0265630 | + | 0.0817527i | ||||
\(449\) | −2.02883e6 | −0.474931 | −0.237465 | − | 0.971396i | \(-0.576317\pi\) | ||||
−0.237465 | + | 0.971396i | \(0.576317\pi\) | |||||||
\(450\) | −999503. | − | 161709.i | −0.232677 | − | 0.0376446i | ||||
\(451\) | 5.74609e6 | 1.33024 | ||||||||
\(452\) | 1.08196e6 | − | 3.32992e6i | 0.249094 | − | 0.766633i | ||||
\(453\) | −2.15059e6 | − | 1.56250e6i | −0.492393 | − | 0.357745i | ||||
\(454\) | 2.04877e6 | + | 1.48852e6i | 0.466501 | + | 0.338933i | ||||
\(455\) | −515626. | − | 2.16355e6i | −0.116763 | − | 0.489935i | ||||
\(456\) | 1.07953e6 | − | 784323.i | 0.243121 | − | 0.176638i | ||||
\(457\) | −4.99871e6 | −1.11961 | −0.559806 | − | 0.828624i | \(-0.689124\pi\) | ||||
−0.559806 | + | 0.828624i | \(0.689124\pi\) | |||||||
\(458\) | −1.78309e6 | + | 1.29549e6i | −0.397200 | + | 0.288582i | ||||
\(459\) | 135039. | + | 415607.i | 0.0299176 | + | 0.0920770i | ||||
\(460\) | 3.08972e6 | − | 1.88633e6i | 0.680807 | − | 0.415646i | ||||
\(461\) | −1.77799e6 | + | 5.47208e6i | −0.389651 | + | 1.19922i | 0.543399 | + | 0.839475i | \(0.317137\pi\) |
−0.933050 | + | 0.359748i | \(0.882863\pi\) | |||||||
\(462\) | 751159. | + | 2.31183e6i | 0.163730 | + | 0.503908i | ||||
\(463\) | 522209. | + | 1.60719e6i | 0.113212 | + | 0.348430i | 0.991570 | − | 0.129573i | \(-0.0413607\pi\) |
−0.878358 | + | 0.478003i | \(0.841361\pi\) | |||||||
\(464\) | 280290. | − | 862644.i | 0.0604383 | − | 0.186010i | ||||
\(465\) | 704020. | + | 56583.6i | 0.150992 | + | 0.0121355i | ||||
\(466\) | −1.02774e6 | − | 3.16307e6i | −0.219240 | − | 0.674751i | ||||
\(467\) | −208198. | + | 151265.i | −0.0441759 | + | 0.0320956i | −0.609654 | − | 0.792668i | \(-0.708692\pi\) |
0.565478 | + | 0.824763i | \(0.308692\pi\) | |||||||
\(468\) | −578379. | −0.122067 | ||||||||
\(469\) | 3.47236e6 | − | 2.52282e6i | 0.728942 | − | 0.529608i | ||||
\(470\) | 3.91317e6 | − | 2.38907e6i | 0.817116 | − | 0.498866i | ||||
\(471\) | 3.43081e6 | + | 2.49263e6i | 0.712598 | + | 0.517733i | ||||
\(472\) | −108050. | − | 78502.8i | −0.0223239 | − | 0.0162192i | ||||
\(473\) | −1.31285e6 | + | 4.04055e6i | −0.269813 | + | 0.830400i | ||||
\(474\) | 131030. | 0.0267871 | ||||||||
\(475\) | 6.46125e6 | − | 3.26520e6i | 1.31396 | − | 0.664011i | ||||
\(476\) | 855066. | 0.172975 | ||||||||
\(477\) | −910348. | + | 2.80176e6i | −0.183194 | + | 0.563814i | ||||
\(478\) | 1.69577e6 | + | 1.23205e6i | 0.339467 | + | 0.246637i | ||||
\(479\) | −5.28911e6 | − | 3.84276e6i | −1.05328 | − | 0.765253i | −0.0804468 | − | 0.996759i | \(-0.525635\pi\) |
−0.972833 | + | 0.231506i | \(0.925635\pi\) | |||||||
\(480\) | 391198. | + | 335239.i | 0.0774985 | + | 0.0664127i | ||||
\(481\) | −4.80745e6 | + | 3.49281e6i | −0.947440 | + | 0.688355i | ||||
\(482\) | 3.27468e6 | 0.642024 | ||||||||
\(483\) | −2.62723e6 | + | 1.90879e6i | −0.512425 | + | 0.372298i | ||||
\(484\) | 2.03991e6 | + | 6.27820e6i | 0.395820 | + | 1.21821i | ||||
\(485\) | 6.40915e6 | + | 5.49236e6i | 1.23722 | + | 1.06024i | ||||
\(486\) | 72988.6 | − | 224636.i | 0.0140173 | − | 0.0431408i | ||||
\(487\) | −1.42372e6 | − | 4.38176e6i | −0.272021 | − | 0.837194i | −0.989992 | − | 0.141121i | \(-0.954929\pi\) |
0.717972 | − | 0.696072i | \(-0.245071\pi\) | |||||||
\(488\) | −978313. | − | 3.01094e6i | −0.185964 | − | 0.572337i | ||||
\(489\) | 581216. | − | 1.78880e6i | 0.109917 | − | 0.338290i | ||||
\(490\) | −761102. | + | 1.82887e6i | −0.143203 | + | 0.344106i | ||||
\(491\) | −1.75700e6 | − | 5.40750e6i | −0.328904 | − | 1.01226i | −0.969647 | − | 0.244507i | \(-0.921374\pi\) |
0.640744 | − | 0.767755i | \(-0.278626\pi\) | |||||||
\(492\) | −883844. | + | 642150.i | −0.164613 | + | 0.119598i | ||||
\(493\) | −2.12390e6 | −0.393565 | ||||||||
\(494\) | 3.34564e6 | − | 2.43075e6i | 0.616825 | − | 0.448149i | ||||
\(495\) | 3.41844e6 | + | 274748.i | 0.627069 | + | 0.0503989i | ||||
\(496\) | −290746. | − | 211239.i | −0.0530651 | − | 0.0385541i | ||||
\(497\) | 2.25502e6 | + | 1.63837e6i | 0.409506 | + | 0.297524i | ||||
\(498\) | 551324. | − | 1.69680e6i | 0.0996170 | − | 0.306590i | ||||
\(499\) | −2.42754e6 | −0.436430 | −0.218215 | − | 0.975901i | \(-0.570023\pi\) | ||||
−0.218215 | + | 0.975901i | \(0.570023\pi\) | |||||||
\(500\) | 1.80466e6 | + | 2.13441e6i | 0.322827 | + | 0.381815i | ||||
\(501\) | 3.23995e6 | 0.576692 | ||||||||
\(502\) | −931897. | + | 2.86808e6i | −0.165047 | + | 0.507963i | ||||
\(503\) | −1.02342e6 | − | 743558.i | −0.180357 | − | 0.131037i | 0.493944 | − | 0.869494i | \(-0.335555\pi\) |
−0.674301 | + | 0.738457i | \(0.735555\pi\) | |||||||
\(504\) | −373898. | − | 271653.i | −0.0655657 | − | 0.0476363i | ||||
\(505\) | 109008. | + | 8761.17i | 0.0190208 | + | 0.00152874i | ||||
\(506\) | −9.91976e6 | + | 7.20713e6i | −1.72236 | + | 1.25137i | ||||
\(507\) | 1.54914e6 | 0.267653 | ||||||||
\(508\) | −1.14011e6 | + | 828337.i | −0.196014 | + | 0.142412i | ||||
\(509\) | −2.48439e6 | − | 7.64617e6i | −0.425036 | − | 1.30813i | −0.902960 | − | 0.429725i | \(-0.858610\pi\) |
0.477924 | − | 0.878401i | \(-0.341390\pi\) | |||||||
\(510\) | 463503. | − | 1.11376e6i | 0.0789091 | − | 0.189613i | ||||
\(511\) | 164694. | − | 506875.i | 0.0279013 | − | 0.0858714i | ||||
\(512\) | −81007.0 | − | 249314.i | −0.0136568 | − | 0.0420312i | ||||
\(513\) | 521872. | + | 1.60616e6i | 0.0875529 | + | 0.269460i | ||||
\(514\) | 304985. | − | 938648.i | 0.0509180 | − | 0.156709i | ||||
\(515\) | 3.04316e6 | + | 2.60786e6i | 0.505600 | + | 0.433277i | ||||
\(516\) | −249610. | − | 768221.i | −0.0412703 | − | 0.127017i | ||||
\(517\) | −1.25635e7 | + | 9.12792e6i | −2.06721 | + | 1.50192i | ||||
\(518\) | −4.74832e6 | −0.777527 | ||||||||
\(519\) | 1.86764e6 | − | 1.35692e6i | 0.304351 | − | 0.221124i | ||||
\(520\) | 1.21239e6 | + | 1.03896e6i | 0.196622 | + | 0.168497i | ||||
\(521\) | −3.78137e6 | − | 2.74732e6i | −0.610316 | − | 0.443420i | 0.239210 | − | 0.970968i | \(-0.423112\pi\) |
−0.849525 | + | 0.527548i | \(0.823112\pi\) | |||||||
\(522\) | 928726. | + | 674759.i | 0.149180 | + | 0.108386i | ||||
\(523\) | 1.45975e6 | − | 4.49264e6i | 0.233358 | − | 0.718203i | −0.763977 | − | 0.645244i | \(-0.776756\pi\) |
0.997335 | − | 0.0729588i | \(-0.0232442\pi\) | |||||||
\(524\) | −3.23473e6 | −0.514647 | ||||||||
\(525\) | −1.76710e6 | − | 1.77887e6i | −0.279810 | − | 0.281674i | ||||
\(526\) | −6.63137e6 | −1.04506 | ||||||||
\(527\) | −260044. | + | 800334.i | −0.0407869 | + | 0.125529i | ||||
\(528\) | −1.41175e6 | − | 1.02569e6i | −0.220380 | − | 0.160115i | ||||
\(529\) | −8.04520e6 | − | 5.84518e6i | −1.24996 | − | 0.908152i | ||||
\(530\) | 6.94116e6 | − | 4.23771e6i | 1.07335 | − | 0.655303i | ||||
\(531\) | 136751. | − | 99355.1i | 0.0210471 | − | 0.0152916i | ||||
\(532\) | 3.30449e6 | 0.506204 | ||||||||
\(533\) | −2.73918e6 | + | 1.99013e6i | −0.417641 | + | 0.303434i | ||||
\(534\) | 366201. | + | 1.12705e6i | 0.0555733 | + | 0.171037i | ||||
\(535\) | −7.50799e6 | − | 603433.i | −1.13407 | − | 0.0911475i | ||||
\(536\) | −952137. | + | 2.93038e6i | −0.143149 | + | 0.440566i | ||||
\(537\) | 445181. | + | 1.37013e6i | 0.0666194 | + | 0.205033i | ||||
\(538\) | −1.62023e6 | − | 4.98656e6i | −0.241336 | − | 0.742754i | ||||
\(539\) | 2.07339e6 | − | 6.38123e6i | 0.307403 | − | 0.946090i | ||||
\(540\) | −556518. | + | 339765.i | −0.0821287 | + | 0.0501412i | ||||
\(541\) | 1.53510e6 | + | 4.72454e6i | 0.225498 | + | 0.694011i | 0.998241 | + | 0.0592920i | \(0.0188843\pi\) |
−0.772743 | + | 0.634719i | \(0.781116\pi\) | |||||||
\(542\) | −3.04666e6 | + | 2.21353e6i | −0.445477 | + | 0.323658i | ||||
\(543\) | −2.99598e6 | −0.436053 | ||||||||
\(544\) | −496600. | + | 360801.i | −0.0719465 | + | 0.0522722i | ||||
\(545\) | 1.67730e6 | + | 7.03790e6i | 0.241891 | + | 1.01497i | ||||
\(546\) | −1.15877e6 | − | 841898.i | −0.166348 | − | 0.120859i | ||||
\(547\) | 4.34209e6 | + | 3.15471e6i | 0.620484 | + | 0.450808i | 0.853090 | − | 0.521763i | \(-0.174725\pi\) |
−0.232607 | + | 0.972571i | \(0.574725\pi\) | |||||||
\(548\) | −1.38681e6 | + | 4.26818e6i | −0.197273 | + | 0.607143i | ||||
\(549\) | 4.00683e6 | 0.567374 | ||||||||
\(550\) | −6.67214e6 | − | 6.71659e6i | −0.940499 | − | 0.946764i | ||||
\(551\) | −8.20803e6 | −1.15175 | ||||||||
\(552\) | 720397. | − | 2.21715e6i | 0.100629 | − | 0.309705i | ||||
\(553\) | 262517. | + | 190730.i | 0.0365044 | + | 0.0265220i | ||||
\(554\) | −2.15419e6 | − | 1.56511e6i | −0.298202 | − | 0.216656i | ||||
\(555\) | −2.57391e6 | + | 6.18490e6i | −0.354699 | + | 0.852315i | ||||
\(556\) | 2.86459e6 | − | 2.08125e6i | 0.392985 | − | 0.285520i | ||||
\(557\) | −3.36692e6 | −0.459828 | −0.229914 | − | 0.973211i | \(-0.573844\pi\) | ||||
−0.229914 | + | 0.973211i | \(0.573844\pi\) | |||||||
\(558\) | 367975. | − | 267350.i | 0.0500303 | − | 0.0363491i | ||||
\(559\) | −773584. | − | 2.38085e6i | −0.104708 | − | 0.322257i | ||||
\(560\) | 295779. | + | 1.24108e6i | 0.0398563 | + | 0.167236i | ||||
\(561\) | −1.26267e6 | + | 3.88610e6i | −0.169388 | + | 0.521324i | ||||
\(562\) | −759830. | − | 2.33852e6i | −0.101479 | − | 0.312320i | ||||
\(563\) | 4.12429e6 | + | 1.26933e7i | 0.548376 | + | 1.68773i | 0.712825 | + | 0.701342i | \(0.247415\pi\) |
−0.164449 | + | 0.986386i | \(0.552585\pi\) | |||||||
\(564\) | 912392. | − | 2.80805e6i | 0.120777 | − | 0.371713i | ||||
\(565\) | −2.83599e6 | − | 1.18997e7i | −0.373751 | − | 1.56825i | ||||
\(566\) | 1.13828e6 | + | 3.50328e6i | 0.149351 | + | 0.459656i | ||||
\(567\) | 473215. | − | 343811.i | 0.0618160 | − | 0.0449119i | ||||
\(568\) | −2.00098e6 | −0.260239 | ||||||||
\(569\) | −8.38561e6 | + | 6.09250e6i | −1.08581 | + | 0.788887i | −0.978687 | − | 0.205358i | \(-0.934164\pi\) |
−0.107123 | + | 0.994246i | \(0.534164\pi\) | |||||||
\(570\) | 1.79125e6 | − | 4.30425e6i | 0.230925 | − | 0.554894i | ||||
\(571\) | 9.70038e6 | + | 7.04774e6i | 1.24508 | + | 0.904606i | 0.997926 | − | 0.0643697i | \(-0.0205037\pi\) |
0.247157 | + | 0.968975i | \(0.420504\pi\) | |||||||
\(572\) | −4.37524e6 | − | 3.17880e6i | −0.559129 | − | 0.406231i | ||||
\(573\) | 2.15422e6 | − | 6.63002e6i | 0.274097 | − | 0.843584i | ||||
\(574\) | −2.70549e6 | −0.342741 | ||||||||
\(575\) | 5.77939e6 | − | 1.12502e7i | 0.728974 | − | 1.41903i | ||||
\(576\) | 331776. | 0.0416667 | ||||||||
\(577\) | −2.52417e6 | + | 7.76859e6i | −0.315630 | + | 0.971410i | 0.659864 | + | 0.751385i | \(0.270614\pi\) |
−0.975494 | + | 0.220025i | \(0.929386\pi\) | |||||||
\(578\) | −3.43192e6 | − | 2.49344e6i | −0.427286 | − | 0.310441i | ||||
\(579\) | 2.38154e6 | + | 1.73029e6i | 0.295230 | + | 0.214497i | ||||
\(580\) | −734686. | − | 3.08272e6i | −0.0906842 | − | 0.380508i | ||||
\(581\) | 3.57446e6 | − | 2.59700e6i | 0.439309 | − | 0.319176i | ||||
\(582\) | 5.43562e6 | 0.665184 | ||||||||
\(583\) | −2.22851e7 | + | 1.61911e7i | −2.71546 | + | 1.97290i | ||||
\(584\) | 118230. | + | 363873.i | 0.0143448 | + | 0.0441487i | ||||
\(585\) | −1.72474e6 | + | 1.05299e6i | −0.208370 | + | 0.127214i | ||||
\(586\) | −1.81621e6 | + | 5.58973e6i | −0.218486 | + | 0.672429i | ||||
\(587\) | 4.59539e6 | + | 1.41431e7i | 0.550461 | + | 1.69415i | 0.707638 | + | 0.706575i | \(0.249761\pi\) |
−0.157177 | + | 0.987570i | \(0.550239\pi\) | |||||||
\(588\) | 394209. | + | 1.21325e6i | 0.0470201 | + | 0.144713i | ||||
\(589\) | −1.00497e6 | + | 3.09297e6i | −0.119361 | + | 0.367357i | ||||
\(590\) | −465129. | − | 37383.4i | −0.0550102 | − | 0.00442129i | ||||
\(591\) | −1.14163e6 | − | 3.51358e6i | −0.134449 | − | 0.413791i | ||||
\(592\) | 2.75770e6 | − | 2.00358e6i | 0.323402 | − | 0.234965i | ||||
\(593\) | −5.57231e6 | −0.650727 | −0.325364 | − | 0.945589i | \(-0.605487\pi\) | ||||
−0.325364 | + | 0.945589i | \(0.605487\pi\) | |||||||
\(594\) | 1.78674e6 | − | 1.29814e6i | 0.207776 | − | 0.150958i | ||||
\(595\) | 2.54983e6 | − | 1.55672e6i | 0.295270 | − | 0.180268i | ||||
\(596\) | 3.58061e6 | + | 2.60147e6i | 0.412897 | + | 0.299987i | ||||
\(597\) | −712099. | − | 517370.i | −0.0817719 | − | 0.0594108i | ||||
\(598\) | 2.23263e6 | − | 6.87133e6i | 0.255308 | − | 0.785756i | ||||
\(599\) | 5.58249e6 | 0.635713 | 0.317856 | − | 0.948139i | \(-0.397037\pi\) | ||||
0.317856 | + | 0.948139i | \(0.397037\pi\) | |||||||
\(600\) | 1.77689e6 | + | 287483.i | 0.201504 | + | 0.0326012i | ||||
\(601\) | 7.49587e6 | 0.846517 | 0.423259 | − | 0.906009i | \(-0.360886\pi\) | ||||
0.423259 | + | 0.906009i | \(0.360886\pi\) | |||||||
\(602\) | 618145. | − | 1.90246e6i | 0.0695183 | − | 0.213955i | ||||
\(603\) | −3.15486e6 | − | 2.29214e6i | −0.353335 | − | 0.256713i | ||||
\(604\) | 3.82327e6 | + | 2.77777e6i | 0.426425 | + | 0.309816i | ||||
\(605\) | 1.75131e7 | + | 1.50079e7i | 1.94524 | + | 1.66699i | ||||
\(606\) | 56975.7 | − | 41395.3i | 0.00630243 | − | 0.00457899i | ||||
\(607\) | −5.28434e6 | −0.582128 | −0.291064 | − | 0.956704i | \(-0.594009\pi\) | ||||
−0.291064 | + | 0.956704i | \(0.594009\pi\) | |||||||
\(608\) | −1.91916e6 | + | 1.39435e6i | −0.210549 | + | 0.152973i | ||||
\(609\) | 878498. | + | 2.70374e6i | 0.0959837 | + | 0.295407i | ||||
\(610\) | −8.39903e6 | − | 7.19760e6i | −0.913912 | − | 0.783182i | ||||
\(611\) | 2.82766e6 | − | 8.70263e6i | 0.306425 | − | 0.943078i | ||||
\(612\) | −240069. | − | 738857.i | −0.0259094 | − | 0.0797410i | ||||
\(613\) | −3.40671e6 | − | 1.04848e7i | −0.366171 | − | 1.12696i | −0.949244 | − | 0.314539i | \(-0.898150\pi\) |
0.583073 | − | 0.812420i | \(-0.301850\pi\) | |||||||
\(614\) | 1.62568e6 | − | 5.00333e6i | 0.174026 | − | 0.535597i | ||||
\(615\) | −1.46656e6 | + | 3.52403e6i | −0.156355 | + | 0.375709i | ||||
\(616\) | −1.33539e6 | − | 4.10992e6i | −0.141794 | − | 0.436397i | ||||
\(617\) | 9.17067e6 | − | 6.66288e6i | 0.969813 | − | 0.704611i | 0.0144043 | − | 0.999896i | \(-0.495415\pi\) |
0.955409 | + | 0.295286i | \(0.0954148\pi\) | |||||||
\(618\) | 2.58092e6 | 0.271833 | ||||||||
\(619\) | −1.45822e7 | + | 1.05946e7i | −1.52966 | + | 1.11136i | −0.573234 | + | 0.819392i | \(0.694311\pi\) |
−0.956427 | + | 0.291972i | \(0.905689\pi\) | |||||||
\(620\) | −1.25159e6 | − | 100593.i | −0.130763 | − | 0.0105097i | ||||
\(621\) | 2.38700e6 | + | 1.73426e6i | 0.248384 | + | 0.180461i | ||||
\(622\) | −7.25047e6 | − | 5.26777e6i | −0.751433 | − | 0.545948i | ||||
\(623\) | −906876. | + | 2.79108e6i | −0.0936112 | + | 0.288106i | ||||
\(624\) | 1.02823e6 | 0.105713 | ||||||||
\(625\) | 9.26742e6 | + | 3.07934e6i | 0.948984 | + | 0.315325i | ||||
\(626\) | −201729. | −0.0205747 | ||||||||
\(627\) | −4.87972e6 | + | 1.50182e7i | −0.495709 | + | 1.52563i | ||||
\(628\) | −6.09922e6 | − | 4.43135e6i | −0.617128 | − | 0.448370i | ||||
\(629\) | −6.45737e6 | − | 4.69156e6i | −0.650773 | − | 0.472814i | ||||
\(630\) | −1.60954e6 | − | 129362.i | −0.161566 | − | 0.0129854i | ||||
\(631\) | 8.65564e6 | − | 6.28869e6i | 0.865418 | − | 0.628763i | −0.0639356 | − | 0.997954i | \(-0.520365\pi\) |
0.929353 | + | 0.369191i | \(0.120365\pi\) | |||||||
\(632\) | −232943. | −0.0231983 | ||||||||
\(633\) | 7.88645e6 | − | 5.72984e6i | 0.782298 | − | 0.568373i | ||||
\(634\) | −3.18844e6 | − | 9.81300e6i | −0.315032 | − | 0.969569i | ||||
\(635\) | −1.89177e6 | + | 4.54579e6i | −0.186181 | + | 0.447378i | ||||
\(636\) | 1.61840e6 | − | 4.98091e6i | 0.158651 | − | 0.488277i | ||||
\(637\) | 1.22172e6 | + | 3.76007e6i | 0.119295 | + | 0.367153i | ||||
\(638\) | 3.31699e6 | + | 1.02086e7i | 0.322621 | + | 0.992925i | ||||
\(639\) | 782583. | − | 2.40854e6i | 0.0758190 | − | 0.233347i | ||||
\(640\) | −695463. | − | 595980.i | −0.0671156 | − | 0.0575151i | ||||
\(641\) | 1.18244e6 | + | 3.63916e6i | 0.113666 | + | 0.349829i | 0.991667 | − | 0.128831i | \(-0.0411225\pi\) |
−0.878000 | + | 0.478660i | \(0.841122\pi\) | |||||||
\(642\) | −3.92425e6 | + | 2.85114e6i | −0.375768 | + | 0.273011i | ||||
\(643\) | 9.54579e6 | 0.910510 | 0.455255 | − | 0.890361i | \(-0.349548\pi\) | ||||
0.455255 | + | 0.890361i | \(0.349548\pi\) | |||||||
\(644\) | 4.67063e6 | − | 3.39341e6i | 0.443773 | − | 0.322420i | ||||
\(645\) | −2.14296e6 | − | 1.83642e6i | −0.202822 | − | 0.173809i | ||||
\(646\) | 4.49387e6 | + | 3.26499e6i | 0.423681 | + | 0.307823i | ||||
\(647\) | −8.82061e6 | − | 6.40855e6i | −0.828396 | − | 0.601865i | 0.0907089 | − | 0.995877i | \(-0.471087\pi\) |
−0.919105 | + | 0.394012i | \(0.871087\pi\) | |||||||
\(648\) | −129757. | + | 399352.i | −0.0121393 | + | 0.0373610i | ||||
\(649\) | 1.58053e6 | 0.147296 | ||||||||
\(650\) | 5.50689e6 | + | 890957.i | 0.511238 | + | 0.0827129i | ||||
\(651\) | 1.12639e6 | 0.104169 | ||||||||
\(652\) | −1.03327e6 | + | 3.18009e6i | −0.0951910 | + | 0.292968i | ||||
\(653\) | 4.24880e6 | + | 3.08693e6i | 0.389927 | + | 0.283298i | 0.765425 | − | 0.643525i | \(-0.222529\pi\) |
−0.375499 | + | 0.926823i | \(0.622529\pi\) | |||||||
\(654\) | 3.76942e6 | + | 2.73864e6i | 0.344612 | + | 0.250375i | ||||
\(655\) | −9.64605e6 | + | 5.88910e6i | −0.878509 | + | 0.536347i | ||||
\(656\) | 1.57128e6 | − | 1.14160e6i | 0.142559 | − | 0.103575i | ||||
\(657\) | −484227. | −0.0437659 | ||||||||
\(658\) | 5.91541e6 | − | 4.29780e6i | 0.532623 | − | 0.386974i | ||||
\(659\) | −1.20234e6 | − | 3.70041e6i | −0.107848 | − | 0.331922i | 0.882540 | − | 0.470237i | \(-0.155831\pi\) |
−0.990388 | + | 0.138315i | \(0.955831\pi\) | |||||||
\(660\) | −6.07723e6 | − | 488440.i | −0.543058 | − | 0.0436467i | ||||
\(661\) | −3.23424e6 | + | 9.95398e6i | −0.287918 | + | 0.886121i | 0.697591 | + | 0.716497i | \(0.254256\pi\) |
−0.985509 | + | 0.169625i | \(0.945744\pi\) | |||||||
\(662\) | 1.15416e6 | + | 3.55213e6i | 0.102357 | + | 0.315024i | ||||
\(663\) | −744015. | − | 2.28984e6i | −0.0657352 | − | 0.202312i | ||||
\(664\) | −980131. | + | 3.01653e6i | −0.0862708 | + | 0.265514i | ||||
\(665\) | 9.85408e6 | − | 6.01611e6i | 0.864096 | − | 0.527548i | ||||
\(666\) | 1.33314e6 | + | 4.10299e6i | 0.116464 | + | 0.358439i | ||||
\(667\) | −1.16014e7 | + | 8.42890e6i | −1.00971 | + | 0.733595i | ||||
\(668\) | −5.75991e6 | −0.499430 | ||||||||
\(669\) | 4.23891e6 | − | 3.07975e6i | 0.366175 | − | 0.266042i | ||||
\(670\) | 2.49571e6 | + | 1.04719e7i | 0.214786 | + | 0.901237i | ||||
\(671\) | 3.03103e7 | + | 2.20217e7i | 2.59886 | + | 1.88818i | ||||
\(672\) | 664708. | + | 482938.i | 0.0567816 | + | 0.0412542i | ||||
\(673\) | 3.70936e6 | − | 1.14162e7i | 0.315690 | − | 0.971594i | −0.659779 | − | 0.751459i | \(-0.729350\pi\) |
0.975469 | − | 0.220135i | \(-0.0706498\pi\) | |||||||
\(674\) | −1.43434e6 | −0.121619 | ||||||||
\(675\) | −1.04098e6 | + | 2.02638e6i | −0.0879393 | + | 0.171183i | ||||
\(676\) | −2.75403e6 | −0.231794 | ||||||||
\(677\) | 3.23494e6 | − | 9.95611e6i | 0.271265 | − | 0.834869i | −0.718918 | − | 0.695095i | \(-0.755362\pi\) |
0.990183 | − | 0.139774i | \(-0.0446376\pi\) | |||||||
\(678\) | −6.37335e6 | − | 4.63051e6i | −0.532468 | − | 0.386861i | ||||
\(679\) | 1.08902e7 | + | 7.91218e6i | 0.906485 | + | 0.658600i | ||||
\(680\) | −824005. | + | 1.98002e6i | −0.0683373 | + | 0.164209i | ||||
\(681\) | 4.60972e6 | − | 3.34916e6i | 0.380897 | − | 0.276738i | ||||
\(682\) | 4.25297e6 | 0.350132 | ||||||||
\(683\) | 5.04232e6 | − | 3.66346e6i | 0.413598 | − | 0.300496i | −0.361459 | − | 0.932388i | \(-0.617721\pi\) |
0.775057 | + | 0.631892i | \(0.217721\pi\) | |||||||
\(684\) | −927772. | − | 2.85539e6i | −0.0758230 | − | 0.233359i | ||||
\(685\) | 3.63507e6 | + | 1.52526e7i | 0.295996 | + | 1.24199i | ||||
\(686\) | −2.82833e6 | + | 8.70471e6i | −0.229467 | + | 0.706226i | ||||
\(687\) | 1.53243e6 | + | 4.71633e6i | 0.123876 | + | 0.381252i | ||||
\(688\) | 443752. | + | 1.36573e6i | 0.0357412 | + | 0.110000i | ||||
\(689\) | 5.01568e6 | − | 1.54367e7i | 0.402515 | − | 1.23881i | ||||
\(690\) | −1.88828e6 | − | 7.92316e6i | −0.150988 | − | 0.633542i | ||||
\(691\) | −5.64461e6 | − | 1.73723e7i | −0.449717 | − | 1.38409i | −0.877227 | − | 0.480076i | \(-0.840609\pi\) |
0.427510 | − | 0.904010i | \(-0.359391\pi\) | |||||||
\(692\) | −3.32025e6 | + | 2.41230e6i | −0.263576 | + | 0.191499i | ||||
\(693\) | 5.46931e6 | 0.432613 | ||||||||
\(694\) | 1.14581e7 | − | 8.32483e6i | 0.903058 | − | 0.656110i | ||||
\(695\) | 4.75320e6 | − | 1.14216e7i | 0.373271 | − | 0.896941i | ||||
\(696\) | −1.65107e6 | − | 1.19957e6i | −0.129194 | − | 0.0938649i | ||||
\(697\) | −3.67928e6 | − | 2.67315e6i | −0.286867 | − | 0.208421i | ||||
\(698\) | −3.73171e6 | + | 1.14850e7i | −0.289914 | + | 0.892263i | ||||
\(699\) | −7.48316e6 | −0.579284 | ||||||||
\(700\) | 3.14151e6 | + | 3.16244e6i | 0.242323 | + | 0.243937i | ||||
\(701\) | −1.46860e7 | −1.12878 | −0.564389 | − | 0.825509i | \(-0.690888\pi\) | ||||
−0.564389 | + | 0.825509i | \(0.690888\pi\) | |||||||
\(702\) | −402140. | + | 1.23766e6i | −0.0307989 | + | 0.0947892i | ||||
\(703\) | −2.49552e7 | − | 1.81310e7i | −1.90446 | − | 1.38367i | ||||
\(704\) | 2.50977e6 | + | 1.82346e6i | 0.190855 | + | 0.138664i | ||||
\(705\) | −2.39153e6 | − | 1.00348e7i | −0.181219 | − | 0.760388i | ||||
\(706\) | 3.27728e6 | − | 2.38108e6i | 0.247458 | − | 0.179789i | ||||
\(707\) | 174406. | 0.0131224 | ||||||||
\(708\) | −243112. | + | 176631.i | −0.0182274 | + | 0.0132429i | ||||
\(709\) | −2.07657e6 | − | 6.39104e6i | −0.155143 | − | 0.477481i | 0.843032 | − | 0.537863i | \(-0.180768\pi\) |
−0.998175 | + | 0.0603819i | \(0.980768\pi\) | |||||||
\(710\) | −5.96698e6 | + | 3.64296e6i | −0.444231 | + | 0.271212i | ||||
\(711\) | 91103.9 | − | 280389.i | 0.00675870 | − | 0.0208011i | ||||
\(712\) | −651024. | − | 2.00365e6i | −0.0481279 | − | 0.148123i | ||||
\(713\) | 1.75576e6 | + | 5.40367e6i | 0.129343 | + | 0.398075i | ||||
\(714\) | 594517. | − | 1.82974e6i | 0.0436435 | − | 0.134321i | ||||
\(715\) | −1.88344e7 | − | 1.51376e6i | −1.37780 | − | 0.110737i | ||||
\(716\) | −791433. | − | 2.43578e6i | −0.0576941 | − | 0.177564i | ||||
\(717\) | 3.81548e6 | − | 2.77211e6i | 0.277174 | − | 0.201378i | ||||
\(718\) | 1.58916e7 | 1.15042 | ||||||||
\(719\) | 7.87064e6 | − | 5.71836e6i | 0.567790 | − | 0.412524i | −0.266512 | − | 0.963832i | \(-0.585871\pi\) |
0.834302 | + | 0.551308i | \(0.185871\pi\) | |||||||
\(720\) | 989365. | − | 604027.i | 0.0711255 | − | 0.0434235i | ||||
\(721\) | 5.17082e6 | + | 3.75682e6i | 0.370443 | + | 0.269143i | ||||
\(722\) | 9.35420e6 | + | 6.79622e6i | 0.667827 | + | 0.485204i | ||||
\(723\) | 2.27685e6 | − | 7.00741e6i | 0.161990 | − | 0.498554i | ||||
\(724\) | 5.32619e6 | 0.377633 | ||||||||
\(725\) | −7.80322e6 | − | 7.85520e6i | −0.551352 | − | 0.555025i | ||||
\(726\) | 1.48529e7 | 1.04585 | ||||||||
\(727\) | −2.36028e6 | + | 7.26420e6i | −0.165626 | + | 0.509744i | −0.999082 | − | 0.0428419i | \(-0.986359\pi\) |
0.833456 | + | 0.552586i | \(0.186359\pi\) | |||||||
\(728\) | 2.06004e6 | + | 1.49671e6i | 0.144061 | + | 0.104667i | ||||
\(729\) | −429945. | − | 312373.i | −0.0299636 | − | 0.0217698i | ||||
\(730\) | 1.01503e6 | + | 869833.i | 0.0704970 | + | 0.0604128i | ||||
\(731\) | 2.72035e6 | − | 1.97645e6i | 0.188292 | − | 0.136802i | ||||
\(732\) | −7.12324e6 | −0.491360 | ||||||||
\(733\) | 1.00322e7 | − | 7.28884e6i | 0.689664 | − | 0.501070i | −0.186886 | − | 0.982382i | \(-0.559839\pi\) |
0.876550 | + | 0.481311i | \(0.159839\pi\) | |||||||
\(734\) | −439554. | − | 1.35281e6i | −0.0301142 | − | 0.0926821i | ||||
\(735\) | 3.38437e6 | + | 2.90026e6i | 0.231079 | + | 0.198024i | ||||
\(736\) | −1.28071e6 | + | 3.94161e6i | −0.0871475 | + | 0.268212i | ||||
\(737\) | −1.12677e7 | − | 3.46785e7i | −0.764130 | − | 2.35175i | ||||
\(738\) | 759596. | + | 2.33780e6i | 0.0513384 | + | 0.158003i | ||||
\(739\) | 2.61496e6 | − | 8.04803e6i | 0.176139 | − | 0.542099i | −0.823545 | − | 0.567251i | \(-0.808007\pi\) |
0.999684 | + | 0.0251521i | \(0.00800700\pi\) | |||||||
\(740\) | 4.57583e6 | − | 1.09954e7i | 0.307178 | − | 0.738127i | ||||
\(741\) | −2.87532e6 | − | 8.84933e6i | −0.192372 | − | 0.592059i | ||||
\(742\) | 1.04927e7 | − | 7.62341e6i | 0.699647 | − | 0.508323i | ||||
\(743\) | 2.06924e7 | 1.37511 | 0.687557 | − | 0.726130i | \(-0.258683\pi\) | ||||
0.687557 | + | 0.726130i | \(0.258683\pi\) | |||||||
\(744\) | −654178. | + | 475288.i | −0.0433275 | + | 0.0314793i | ||||
\(745\) | 1.54137e7 | + | 1.23883e6i | 1.01746 | + | 0.0817751i | ||||
\(746\) | 248722. | + | 180707.i | 0.0163632 | + | 0.0118885i | ||||
\(747\) | −3.24762e6 | − | 2.35953e6i | −0.212943 | − | 0.154712i | ||||
\(748\) | 2.24475e6 | − | 6.90863e6i | 0.146695 | − | 0.451479i | ||||
\(749\) | −1.20123e7 | −0.782389 | ||||||||
\(750\) | 5.82214e6 | − | 2.37771e6i | 0.377946 | − | 0.154350i | ||||
\(751\) | 1.31510e7 | 0.850860 | 0.425430 | − | 0.904991i | \(-0.360123\pi\) | ||||
0.425430 | + | 0.904991i | \(0.360123\pi\) | |||||||
\(752\) | −1.62203e6 | + | 4.99210e6i | −0.104596 | + | 0.321913i | ||||
\(753\) | 5.48941e6 | + | 3.98829e6i | 0.352808 | + | 0.256330i | ||||
\(754\) | −5.11694e6 | − | 3.71768e6i | −0.327780 | − | 0.238146i | ||||
\(755\) | 1.64583e7 | + | 1.32279e6i | 1.05079 | + | 0.0844545i | ||||
\(756\) | −841271. | + | 611219.i | −0.0535342 | + | 0.0388949i | ||||
\(757\) | 1.59333e7 | 1.01057 | 0.505284 | − | 0.862953i | \(-0.331388\pi\) | ||||
0.505284 | + | 0.862953i | \(0.331388\pi\) | |||||||
\(758\) | 1.28497e7 | − | 9.33583e6i | 0.812305 | − | 0.590174i | ||||
\(759\) | 8.52528e6 | + | 2.62381e7i | 0.537160 | + | 1.65321i | ||||
\(760\) | −3.18445e6 | + | 7.65200e6i | −0.199987 | + | 0.480553i | ||||
\(761\) | −4.98939e6 | + | 1.53558e7i | −0.312310 | + | 0.961191i | 0.664538 | + | 0.747255i | \(0.268629\pi\) |
−0.976848 | + | 0.213936i | \(0.931371\pi\) | |||||||
\(762\) | 979836. | + | 3.01562e6i | 0.0611316 | + | 0.188144i | ||||
\(763\) | 3.56556e6 | + | 1.09737e7i | 0.221726 | + | 0.682401i | ||||
\(764\) | −3.82973e6 | + | 1.17867e7i | −0.237375 | + | 0.730565i | ||||
\(765\) | −2.06105e6 | − | 1.76623e6i | −0.127331 | − | 0.109117i | ||||
\(766\) | −752842. | − | 2.31701e6i | −0.0463588 | − | 0.142678i | ||||
\(767\) | −753446. | + | 547410.i | −0.0462449 | + | 0.0335989i | ||||
\(768\) | −589824. | −0.0360844 | ||||||||
\(769\) | −7.11632e6 | + | 5.17031e6i | −0.433950 | + | 0.315283i | −0.783226 | − | 0.621737i | \(-0.786427\pi\) |
0.349276 | + | 0.937020i | \(0.386427\pi\) | |||||||
\(770\) | −1.14647e7 | − | 9.82470e6i | −0.696842 | − | 0.597162i | ||||
\(771\) | −1.79654e6 | − | 1.30526e6i | −0.108843 | − | 0.0790791i | ||||
\(772\) | −4.23384e6 | − | 3.07607e6i | −0.255677 | − | 0.185760i | ||||
\(773\) | −4.56657e6 | + | 1.40545e7i | −0.274879 | + | 0.845990i | 0.714373 | + | 0.699766i | \(0.246712\pi\) |
−0.989251 | + | 0.146225i | \(0.953288\pi\) | |||||||
\(774\) | −1.81745e6 | −0.109046 | ||||||||
\(775\) | −3.91542e6 | + | 1.97866e6i | −0.234166 | + | 0.118336i | ||||
\(776\) | −9.66333e6 | −0.576066 | ||||||||
\(777\) | −3.30145e6 | + | 1.01608e7i | −0.196179 | + | 0.603776i | ||||
\(778\) | −7.48189e6 | − | 5.43591e6i | −0.443162 | − | 0.321976i | ||||
\(779\) | −1.42189e7 | − | 1.03307e7i | −0.839505 | − | 0.609936i | ||||
\(780\) | 3.06621e6 | − | 1.87198e6i | 0.180454 | − | 0.110170i | ||||
\(781\) | 1.91574e7 | − | 1.39187e7i | 1.12385 | − | 0.816527i | ||||
\(782\) | 9.70457e6 | 0.567491 | ||||||||
\(783\) | 2.08963e6 | − | 1.51821e6i | 0.121805 | − | 0.0884967i | ||||
\(784\) | −700816. | − | 2.15689e6i | −0.0407206 | − | 0.125325i | ||||
\(785\) | −2.62557e7 | − | 2.11023e6i | −1.52072 | − | 0.122224i | ||||
\(786\) | −2.24907e6 | + | 6.92192e6i | −0.129851 | + | 0.399641i | ||||
\(787\) | −1.91995e6 | − | 5.90900e6i | −0.110498 | − | 0.340077i | 0.880484 | − | 0.474076i | \(-0.157218\pi\) |
−0.990981 | + | 0.134000i | \(0.957218\pi\) | |||||||
\(788\) | 2.02957e6 | + | 6.24636e6i | 0.116436 | + | 0.358353i | ||||
\(789\) | −4.61072e6 | + | 1.41903e7i | −0.263679 | + | 0.811521i | ||||
\(790\) | −694643. | + | 424093.i | −0.0395999 | + | 0.0241765i | ||||
\(791\) | −6.02866e6 | − | 1.85543e7i | −0.342594 | − | 1.05439i | ||||
\(792\) | −3.17643e6 | + | 2.30781e6i | −0.179939 | + | 0.130734i | ||||
\(793\) | −2.20761e7 | −1.24664 | ||||||||
\(794\) | −1.66329e7 | + | 1.20845e7i | −0.936305 | + | 0.680266i | ||||
\(795\) | −4.24208e6 | − | 1.77997e7i | −0.238046 | − | 0.998835i | ||||
\(796\) | 1.26595e6 | + | 919769.i | 0.0708166 | + | 0.0514513i | ||||
\(797\) | −1.86005e7 | − | 1.35141e7i | −1.03724 | − | 0.753600i | −0.0674960 | − | 0.997720i | \(-0.521501\pi\) |
−0.969745 | + | 0.244120i | \(0.921501\pi\) | |||||||
\(798\) | 2.29757e6 | − | 7.07120e6i | 0.127721 | − | 0.393085i | ||||
\(799\) | 1.22910e7 | 0.681113 | ||||||||
\(800\) | −3.15892e6 | − | 511080.i | −0.174508 | − | 0.0282335i | ||||
\(801\) | 2.66637e6 | 0.146838 | ||||||||
\(802\) | −5.63995e6 | + | 1.73580e7i | −0.309628 | + | 0.952936i | ||||
\(803\) | −3.66301e6 | − | 2.66133e6i | −0.200470 | − | 0.145650i | ||||
\(804\) | 5.60863e6 | + | 4.07491e6i | 0.305997 | + | 0.222320i | ||||
\(805\) | 7.74995e6 | − | 1.86225e7i | 0.421511 | − | 1.01286i | ||||
\(806\) | −2.02741e6 | + | 1.47300e6i | −0.109927 | + | 0.0798665i | ||||
\(807\) | −1.17972e7 | −0.637666 | ||||||||
\(808\) | −101290. | + | 73591.6i | −0.00545807 | + | 0.00396552i | ||||
\(809\) | 2.01942e6 | + | 6.21514e6i | 0.108482 | + | 0.333872i | 0.990532 | − | 0.137284i | \(-0.0438371\pi\) |
−0.882050 | + | 0.471155i | \(0.843837\pi\) | |||||||
\(810\) | 340116. | + | 1.42712e6i | 0.0182144 | + | 0.0764269i | ||||
\(811\) | 2.25094e6 | − | 6.92768e6i | 0.120174 | − | 0.369859i | −0.872817 | − | 0.488048i | \(-0.837709\pi\) |
0.992991 | + | 0.118189i | \(0.0377090\pi\) | |||||||
\(812\) | −1.56177e6 | − | 4.80665e6i | −0.0831243 | − | 0.255830i | ||||
\(813\) | 2.61837e6 | + | 8.05851e6i | 0.138933 | + | 0.427591i | ||||
\(814\) | −1.24655e7 | + | 3.83647e7i | −0.659397 | + | 2.02942i | ||||
\(815\) | 2.70838e6 | + | 1.13643e7i | 0.142829 | + | 0.599304i | ||||
\(816\) | 426790. | + | 1.31352e6i | 0.0224382 | + | 0.0690578i | ||||
\(817\) | 1.05131e7 | − | 7.63818e6i | 0.551028 | − | 0.400346i | ||||
\(818\) | −93790.5 | −0.00490090 | ||||||||
\(819\) | −2.60724e6 | + | 1.89427e6i | −0.135822 | + | 0.0986807i | ||||
\(820\) | 2.60721e6 | − | 6.26494e6i | 0.135407 | − | 0.325373i | ||||
\(821\) | −942184. | − | 684537.i | −0.0487841 | − | 0.0354437i | 0.563126 | − | 0.826371i | \(-0.309599\pi\) |
−0.611910 | + | 0.790927i | \(0.709599\pi\) | |||||||
\(822\) | 8.16914e6 | + | 5.93522e6i | 0.421693 | + | 0.306378i | ||||
\(823\) | −2.81405e6 | + | 8.66076e6i | −0.144821 | + | 0.445714i | −0.996988 | − | 0.0775563i | \(-0.975288\pi\) |
0.852167 | + | 0.523270i | \(0.175288\pi\) | |||||||
\(824\) | −4.58830e6 | −0.235415 | ||||||||
\(825\) | −1.90117e7 | + | 9.60759e6i | −0.972493 | + | 0.491450i | ||||
\(826\) | −744179. | −0.0379513 | ||||||||
\(827\) | −1.32096e6 | + | 4.06550e6i | −0.0671624 | + | 0.206705i | −0.979005 | − | 0.203835i | \(-0.934659\pi\) |
0.911843 | + | 0.410539i | \(0.134659\pi\) | |||||||
\(828\) | −4.24355e6 | − | 3.08312e6i | −0.215107 | − | 0.156284i | ||||
\(829\) | 5.85689e6 | + | 4.25528e6i | 0.295993 | + | 0.215051i | 0.725863 | − | 0.687839i | \(-0.241441\pi\) |
−0.429870 | + | 0.902891i | \(0.641441\pi\) | |||||||
\(830\) | 2.56908e6 | + | 1.07798e7i | 0.129444 | + | 0.543145i | ||||
\(831\) | −4.84694e6 | + | 3.52151e6i | −0.243481 | + | 0.176899i | ||||
\(832\) | −1.82796e6 | −0.0915502 | ||||||||
\(833\) | −4.29624e6 | + | 3.12140e6i | −0.214524 | + | 0.155861i | ||||
\(834\) | −2.46190e6 | − | 7.57694e6i | −0.122562 | − | 0.377206i | ||||
\(835\) | −1.71762e7 | + | 1.04864e7i | −0.852533 | + | 0.520488i | ||||
\(836\) | 8.67507e6 | − | 2.66991e7i | 0.429296 | − | 1.32124i | ||||
\(837\) | −316246. | − | 973307.i | −0.0156031 | − | 0.0480215i | ||||
\(838\) | 3.55379e6 | + | 1.09374e7i | 0.174816 | + | 0.538028i | ||||
\(839\) | 3.85615e6 | − | 1.18680e7i | 0.189125 | − | 0.582068i | −0.810870 | − | 0.585227i | \(-0.801006\pi\) |
0.999995 | + | 0.00315902i | \(0.00100555\pi\) | |||||||
\(840\) | 2.86141e6 | + | 229978.i | 0.139921 | + | 0.0112457i | ||||
\(841\) | −2.45900e6 | − | 7.56802e6i | −0.119886 | − | 0.368971i | ||||
\(842\) | 6.53895e6 | − | 4.75082e6i | 0.317854 | − | 0.230934i | ||||
\(843\) | −5.53244e6 | −0.268131 | ||||||||
\(844\) | −1.40204e7 | + | 1.01864e7i | −0.677490 | + | 0.492225i | ||||
\(845\) | −8.21260e6 | + | 5.01396e6i | −0.395675 | + | 0.241568i | ||||
\(846\) | −5.37452e6 | − | 3.90481e6i | −0.258175 | − | 0.187575i | ||||
\(847\) | 2.97575e7 | + | 2.16201e7i | 1.42524 | + | 1.03550i | ||||
\(848\) | −2.87715e6 | + | 8.85496e6i | −0.137396 | + | 0.422860i | ||||
\(849\) | 8.28802e6 | 0.394622 | ||||||||
\(850\) | 1.14760e6 | + | 7.40466e6i | 0.0544806 | + | 0.351526i | ||||
\(851\) | −5.38910e7 | −2.55089 | ||||||||
\(852\) | −1.39126e6 | + | 4.28185e6i | −0.0656612 | + | 0.202084i | ||||
\(853\) | 1.95449e7 | + | 1.42002e7i | 0.919730 | + | 0.668223i | 0.943457 | − | 0.331496i | \(-0.107553\pi\) |
−0.0237270 | + | 0.999718i | \(0.507553\pi\) | |||||||
\(854\) | −1.42713e7 | − | 1.03687e7i | −0.669605 | − | 0.486497i | ||||
\(855\) | −7.96513e6 | − | 6.82576e6i | −0.372630 | − | 0.319327i | ||||
\(856\) | 6.97645e6 | − | 5.06869e6i | 0.325424 | − | 0.236435i | ||||
\(857\) | 2.30536e7 | 1.07223 | 0.536114 | − | 0.844146i | \(-0.319892\pi\) | ||||
0.536114 | + | 0.844146i | \(0.319892\pi\) | |||||||
\(858\) | −9.84429e6 | + | 7.15229e6i | −0.456527 | + | 0.331686i | ||||
\(859\) | 1.53700e6 | + | 4.73040e6i | 0.0710707 | + | 0.218733i | 0.980283 | − | 0.197600i | \(-0.0633148\pi\) |
−0.909212 | + | 0.416334i | \(0.863315\pi\) | |||||||
\(860\) | 3.80970e6 | + | 3.26475e6i | 0.175649 | + | 0.150523i | ||||
\(861\) | −1.88110e6 | + | 5.78942e6i | −0.0864775 | + | 0.266150i | ||||
\(862\) | −5.36591e6 | − | 1.65146e7i | −0.245966 | − | 0.757006i | ||||
\(863\) | −7.57126e6 | − | 2.33020e7i | −0.346052 | − | 1.06504i | −0.961018 | − | 0.276485i | \(-0.910830\pi\) |
0.614966 | − | 0.788553i | \(-0.289170\pi\) | |||||||
\(864\) | 230680. | − | 709960.i | 0.0105130 | − | 0.0323556i | ||||
\(865\) | −5.50927e6 | + | 1.32384e7i | −0.250354 | + | 0.601581i | ||||
\(866\) | 2.16262e6 | + | 6.65585e6i | 0.0979907 | + | 0.301585i | ||||
\(867\) | −7.72183e6 | + | 5.61024e6i | −0.348877 | + | 0.253474i | ||||
\(868\) | −2.00247e6 | −0.0902126 | ||||||||
\(869\) | 2.23020e6 | − | 1.62034e6i | 0.100183 | − | 0.0727873i | ||||
\(870\) | −7.10746e6 | − | 571242.i | −0.318358 | − | 0.0255871i | ||||
\(871\) | 1.73821e7 | + | 1.26288e7i | 0.776349 | + | 0.564050i | ||||
\(872\) | −6.70119e6 | − | 4.86870e6i | −0.298442 | − | 0.216831i | ||||
\(873\) | 3.77932e6 | − | 1.16316e7i | 0.167833 | − | 0.516538i | ||||
\(874\) | 3.75043e7 | 1.66074 | ||||||||
\(875\) | 1.51256e7 | + | 3.71109e6i | 0.667870 | + | 0.163863i | ||||
\(876\) | 860848. | 0.0379023 | ||||||||
\(877\) | 491387. | − | 1.51233e6i | 0.0215737 | − | 0.0663971i | −0.939690 | − | 0.342027i | \(-0.888886\pi\) |
0.961264 | + | 0.275630i | \(0.0888865\pi\) | |||||||
\(878\) | 1.55224e7 | + | 1.12777e7i | 0.679552 | + | 0.493723i | ||||
\(879\) | 1.06985e7 | + | 7.77294e6i | 0.467038 | + | 0.339323i | ||||
\(880\) | 1.08040e7 | + | 868338.i | 0.470302 | + | 0.0377992i | ||||
\(881\) | −3.12525e7 | + | 2.27062e7i | −1.35658 | + | 0.985611i | −0.357923 | + | 0.933751i | \(0.616515\pi\) |
−0.998654 | + | 0.0518597i | \(0.983485\pi\) | |||||||
\(882\) | 2.87030e6 | 0.124238 | ||||||||
\(883\) | 1.85956e7 | − | 1.35105e7i | 0.802617 | − | 0.583135i | −0.109064 | − | 0.994035i | \(-0.534785\pi\) |
0.911681 | + | 0.410900i | \(0.134785\pi\) | |||||||
\(884\) | 1.32269e6 | + | 4.07083e6i | 0.0569283 | + | 0.175207i | ||||
\(885\) | −403395. | + | 969327.i | −0.0173130 | + | 0.0416018i | ||||
\(886\) | −4.96326e6 | + | 1.52753e7i | −0.212414 | + | 0.653743i | ||||
\(887\) | −8.73995e6 | − | 2.68988e7i | −0.372992 | − | 1.14795i | −0.944823 | − | 0.327581i | \(-0.893767\pi\) |
0.571831 | − | 0.820372i | \(-0.306233\pi\) | |||||||
\(888\) | −2.37003e6 | − | 7.29420e6i | −0.100861 | − | 0.310417i | ||||
\(889\) | −2.42651e6 | + | 7.46802e6i | −0.102974 | + | 0.316921i | ||||
\(890\) | −5.58919e6 | − | 4.78968e6i | −0.236523 | − | 0.202690i | ||||
\(891\) | −1.53557e6 | − | 4.72599e6i | −0.0648000 | − | 0.199434i | ||||
\(892\) | −7.53584e6 | + | 5.47511e6i | −0.317117 | + | 0.230399i | ||||
\(893\) | 4.74997e7 | 1.99325 | ||||||||
\(894\) | 8.05638e6 | − | 5.85330e6i | 0.337129 | − | 0.244938i | ||||
\(895\) | −6.79462e6 | − | 5.82269e6i | −0.283536 | − | 0.242978i | ||||
\(896\) | −1.18170e6 | − | 858557.i | −0.0491743 | − | 0.0357272i | ||||
\(897\) | −1.31515e7 | − | 9.55511e6i | −0.545750 | − | 0.396510i | ||||
\(898\) | 2.50777e6 | − | 7.71814e6i | 0.103776 | − | 0.319390i | ||||
\(899\) | 4.97394e6 | 0.205259 | ||||||||
\(900\) | 1.85063e6 | − | 3.60245e6i | 0.0761577 | − | 0.148249i | ||||
\(901\) | 2.18016e7 | 0.894700 | ||||||||
\(902\) | −7.10255e6 | + | 2.18594e7i | −0.290669 | + | 0.894586i | ||||
\(903\) | −3.64123e6 | − | 2.64551e6i | −0.148603 | − | 0.107967i | ||||
\(904\) | 1.13304e7 | + | 8.23202e6i | 0.461131 | + | 0.335031i | ||||
\(905\) | 1.58828e7 | − | 9.69679e6i | 0.644625 | − | 0.393556i | ||||
\(906\) | 8.60236e6 | − | 6.24998e6i | 0.348175 | − | 0.252964i | ||||
\(907\) | 3.21788e7 | 1.29883 | 0.649414 | − | 0.760435i | \(-0.275014\pi\) | ||||
0.649414 | + | 0.760435i | \(0.275014\pi\) | |||||||
\(908\) | −8.19507e6 | + | 5.95406e6i | −0.329866 | + | 0.239662i | ||||
\(909\) | −48966.3 | − | 150703.i | −0.00196556 | − | 0.00604939i | ||||
\(910\) | 8.86799e6 | + | 712739.i | 0.354994 | + | 0.0285317i | ||||
\(911\) | −2.31611e6 | + | 7.12824e6i | −0.0924619 | + | 0.284568i | −0.986584 | − | 0.163255i | \(-0.947801\pi\) |
0.894122 | + | 0.447823i | \(0.147801\pi\) | |||||||
\(912\) | 1.64937e6 | + | 5.07625e6i | 0.0656647 | + | 0.202095i | ||||
\(913\) | −1.15990e7 | − | 3.56981e7i | −0.460515 | − | 1.41732i | ||||
\(914\) | 6.17875e6 | − | 1.90162e7i | 0.244644 | − | 0.752937i | ||||
\(915\) | −2.12417e7 | + | 1.29685e7i | −0.838758 | + | 0.512079i | ||||
\(916\) | −2.72431e6 | − | 8.38458e6i | −0.107280 | − | 0.330174i | ||||
\(917\) | −1.45816e7 | + | 1.05942e7i | −0.572641 | + | 0.416048i | ||||
\(918\) | −1.74798e6 | −0.0684589 | ||||||||
\(919\) | −3.06287e7 | + | 2.22530e7i | −1.19630 | + | 0.869162i | −0.993916 | − | 0.110145i | \(-0.964869\pi\) |
−0.202383 | + | 0.979306i | \(0.564869\pi\) | |||||||
\(920\) | 3.35694e6 | + | 1.40856e7i | 0.130760 | + | 0.548664i | ||||
\(921\) | −9.57619e6 | − | 6.95751e6i | −0.372001 | − | 0.270274i | ||||
\(922\) | −1.86193e7 | − | 1.35277e7i | −0.721333 | − | 0.524079i | ||||
\(923\) | −4.31174e6 | + | 1.32702e7i | −0.166590 | + | 0.512711i | ||||
\(924\) | −9.72321e6 | −0.374653 | ||||||||
\(925\) | −6.37279e6 | − | 4.11192e7i | −0.244892 | − | 1.58012i | ||||
\(926\) | −6.75961e6 | −0.259056 | ||||||||
\(927\) | 1.79448e6 | − | 5.52284e6i | 0.0685866 | − | 0.211088i | ||||
\(928\) | 2.93523e6 | + | 2.13257e6i | 0.111885 | + | 0.0812894i | ||||
\(929\) | 2.35938e7 | + | 1.71419e7i | 0.896929 | + | 0.651657i | 0.937675 | − | 0.347512i | \(-0.112974\pi\) |
−0.0407462 | + | 0.999170i | \(0.512974\pi\) | |||||||
\(930\) | −1.08547e6 | + | 2.60831e6i | −0.0411540 | + | 0.0988899i | ||||
\(931\) | −1.66033e7 | + | 1.20630e7i | −0.627797 | + | 0.456121i | ||||
\(932\) | 1.33034e7 | 0.501675 | ||||||||
\(933\) | −1.63136e7 | + | 1.18525e7i | −0.613542 | + | 0.445765i | ||||
\(934\) | −318099. | − | 979007.i | −0.0119315 | − | 0.0367214i | ||||
\(935\) | −5.88386e6 | − | 2.46885e7i | −0.220107 | − | 0.923561i | ||||
\(936\) | 714916. | − | 2.20028e6i | 0.0266726 | − | 0.0820898i | ||||
\(937\) | −1.43036e7 | − | 4.40218e7i | −0.532225 | − | 1.63802i | −0.749571 | − | 0.661924i | \(-0.769740\pi\) |
0.217346 | − | 0.976095i | \(-0.430260\pi\) | |||||||
\(938\) | 5.30530e6 | + | 1.63280e7i | 0.196881 | + | 0.605936i | ||||
\(939\) | −140260. | + | 431676.i | −0.00519123 | + | 0.0159770i | ||||
\(940\) | 4.25161e6 | + | 1.78396e7i | 0.156940 | + | 0.658516i | ||||
\(941\) | −6.24973e6 | − | 1.92347e7i | −0.230084 | − | 0.708127i | −0.997736 | − | 0.0672590i | \(-0.978575\pi\) |
0.767651 | − | 0.640868i | \(-0.221425\pi\) | |||||||
\(942\) | −1.37233e7 | + | 9.97053e6i | −0.503883 | + | 0.366093i | ||||
\(943\) | −3.07059e7 | −1.12446 | ||||||||
\(944\) | 432200. | − | 314011.i | 0.0157854 | − | 0.0114687i | ||||
\(945\) | −1.39592e6 | + | 3.35428e6i | −0.0508487 | + | 0.122186i | ||||
\(946\) | −1.37484e7 | − | 9.98879e6i | −0.499487 | − | 0.362898i | ||||
\(947\) | 1.25721e7 | + | 9.13417e6i | 0.455547 | + | 0.330974i | 0.791782 | − | 0.610804i | \(-0.209154\pi\) |
−0.336235 | + | 0.941778i | \(0.609154\pi\) | |||||||
\(948\) | −161963. | + | 498469.i | −0.00585320 | + | 0.0180143i | ||||
\(949\) | 2.66791e6 | 0.0961625 | ||||||||
\(950\) | 4.43500e6 | + | 2.86161e7i | 0.159436 | + | 1.02873i | ||||
\(951\) | −2.32155e7 | −0.832390 | ||||||||
\(952\) | −1.05692e6 | + | 3.25287e6i | −0.0377963 | + | 0.116325i | ||||
\(953\) | 1.45383e7 | + | 1.05627e7i | 0.518540 | + | 0.376741i | 0.816054 | − | 0.577976i | \(-0.196157\pi\) |
−0.297514 | + | 0.954718i | \(0.596157\pi\) | |||||||
\(954\) | −9.53329e6 | − | 6.92634e6i | −0.339134 | − | 0.246396i | ||||
\(955\) | 1.00383e7 | + | 4.21206e7i | 0.356167 | + | 1.49447i | ||||
\(956\) | −6.78308e6 | + | 4.92820e6i | −0.240039 | + | 0.174399i | ||||
\(957\) | 2.41515e7 | 0.852441 | ||||||||
\(958\) | 2.11564e7 | − | 1.53711e7i | 0.744782 | − | 0.541116i | ||||
\(959\) | 7.72732e6 | + | 2.37822e7i | 0.271320 | + | 0.835038i | ||||
\(960\) | −1.75887e6 | + | 1.07383e6i | −0.0615965 | + | 0.0376059i | ||||
\(961\) | −8.23790e6 | + | 2.53536e7i | −0.287745 | + | 0.885588i | ||||
\(962\) | −7.34512e6 | − | 2.26060e7i | −0.255895 | − | 0.787563i | ||||
\(963\) | 3.37259e6 | + | 1.03798e7i | 0.117192 | + | 0.360680i | ||||
\(964\) | −4.04773e6 | + | 1.24576e7i | −0.140287 | + | 0.431760i | ||||
\(965\) | −1.82257e7 | − | 1.46484e6i | −0.630036 | − | 0.0506374i | ||||
\(966\) | −4.01405e6 | − | 1.23540e7i | −0.138401 | − | 0.425955i | ||||
\(967\) | −2.25806e7 | + | 1.64058e7i | −0.776549 | + | 0.564196i | −0.903941 | − | 0.427656i | \(-0.859339\pi\) |
0.127392 | + | 0.991852i | \(0.459339\pi\) | |||||||
\(968\) | −2.64052e7 | −0.905733 | ||||||||
\(969\) | 1.01112e7 | − | 7.34622e6i | 0.345934 | − | 0.251336i | ||||
\(970\) | −2.88163e7 | + | 1.75929e7i | −0.983352 | + | 0.600356i | ||||
\(971\) | −3.86599e7 | − | 2.80881e7i | −1.31587 | − | 0.956035i | −0.999974 | − | 0.00724154i | \(-0.997695\pi\) |
−0.315896 | − | 0.948794i | \(-0.602305\pi\) | |||||||
\(972\) | 764346. | + | 555330.i | 0.0259492 | + | 0.0188532i | ||||
\(973\) | 6.09674e6 | − | 1.87638e7i | 0.206450 | − | 0.635389i | ||||
\(974\) | 1.84290e7 | 0.622450 | ||||||||
\(975\) | 5.73542e6 | − | 1.11646e7i | 0.193221 | − | 0.376125i | ||||
\(976\) | 1.26635e7 | 0.425531 | ||||||||
\(977\) | −6.33025e6 | + | 1.94825e7i | −0.212170 | + | 0.652993i | 0.787172 | + | 0.616733i | \(0.211544\pi\) |
−0.999342 | + | 0.0362597i | \(0.988456\pi\) | |||||||
\(978\) | 6.08657e6 | + | 4.42215e6i | 0.203482 | + | 0.147838i | ||||
\(979\) | 2.01701e7 | + | 1.46545e7i | 0.672593 | + | 0.488667i | ||||
\(980\) | −6.01666e6 | − | 5.15601e6i | −0.200120 | − | 0.171494i | ||||
\(981\) | 8.48119e6 | − | 6.16195e6i | 0.281374 | − | 0.204430i | ||||
\(982\) | 2.27431e7 | 0.752613 | ||||||||
\(983\) | −4.60849e7 | + | 3.34827e7i | −1.52116 | + | 1.10519i | −0.560253 | + | 0.828322i | \(0.689296\pi\) |
−0.960908 | + | 0.276867i | \(0.910704\pi\) | |||||||
\(984\) | −1.35039e6 | − | 4.15608e6i | −0.0444603 | − | 0.136835i | ||||
\(985\) | 1.74243e7 | + | 1.49318e7i | 0.572221 | + | 0.490368i | ||||
\(986\) | 2.62529e6 | − | 8.07980e6i | 0.0859972 | − | 0.264672i | ||||
\(987\) | −5.08384e6 | − | 1.56465e7i | −0.166111 | − | 0.511238i | ||||
\(988\) | 5.11168e6 | + | 1.57321e7i | 0.166599 | + | 0.512738i | ||||
\(989\) | 7.01563e6 | − | 2.15919e7i | 0.228074 | − | 0.701940i | ||||
\(990\) | −5.27063e6 | + | 1.26649e7i | −0.170913 | + | 0.410690i | ||||
\(991\) | −3.73261e6 | − | 1.14878e7i | −0.120734 | − | 0.371580i | 0.872366 | − | 0.488853i | \(-0.162585\pi\) |
−0.993100 | + | 0.117273i | \(0.962585\pi\) | |||||||
\(992\) | 1.16298e6 | − | 844957.i | 0.0375227 | − | 0.0272618i | ||||
\(993\) | 8.40359e6 | 0.270453 | ||||||||
\(994\) | −9.02010e6 | + | 6.55348e6i | −0.289564 | + | 0.210381i | ||||
\(995\) | 5.44963e6 | + | 437998.i | 0.174505 | + | 0.0140254i | ||||
\(996\) | 5.77354e6 | + | 4.19472e6i | 0.184414 | + | 0.133985i | ||||
\(997\) | 1.21563e7 | + | 8.83208e6i | 0.387315 | + | 0.281401i | 0.764354 | − | 0.644796i | \(-0.223058\pi\) |
−0.377039 | + | 0.926197i | \(0.623058\pi\) | |||||||
\(998\) | 3.00060e6 | − | 9.23490e6i | 0.0953635 | − | 0.293499i | ||||
\(999\) | 9.70681e6 | 0.307725 |
(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 | 150.6.g.a.121.1 | yes | 20 | |
25.6 | even | 5 | inner | 150.6.g.a.31.1 | ✓ | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
150.6.g.a.31.1 | ✓ | 20 | 25.6 | even | 5 | inner | |
150.6.g.a.121.1 | yes | 20 | 1.1 | even | 1 | trivial |