Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [37,8,Mod(7,37)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(37, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("37.7");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 37 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 37.f (of order \(9\), degree \(6\), 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: | \(11.5582459429\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 7.3 | ||
Character | \(\chi\) | \(=\) | 37.7 |
Dual form | 37.8.f.a.16.3 |
$q$-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 \(\left(\mathbb{Z}/37\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −17.7108 | + | 6.44620i | −1.56543 | + | 0.569769i | −0.971972 | − | 0.235097i | \(-0.924459\pi\) |
−0.593456 | + | 0.804867i | \(0.702237\pi\) | |||||||
\(3\) | 49.8626 | + | 18.1485i | 1.06623 | + | 0.388076i | 0.814766 | − | 0.579791i | \(-0.196866\pi\) |
0.251464 | + | 0.967867i | \(0.419088\pi\) | |||||||
\(4\) | 174.065 | − | 146.058i | 1.35988 | − | 1.14108i | ||||
\(5\) | −63.8672 | − | 362.209i | −0.228498 | − | 1.29588i | −0.855884 | − | 0.517168i | \(-0.826986\pi\) |
0.627386 | − | 0.778709i | \(-0.284125\pi\) | |||||||
\(6\) | −1000.10 | −1.89022 | ||||||||
\(7\) | 43.2399 | + | 245.226i | 0.0476477 | + | 0.270223i | 0.999319 | − | 0.0368945i | \(-0.0117465\pi\) |
−0.951671 | + | 0.307118i | \(0.900635\pi\) | |||||||
\(8\) | −935.075 | + | 1619.60i | −0.645701 | + | 1.11839i | ||||
\(9\) | 481.575 | + | 404.089i | 0.220199 | + | 0.184769i | ||||
\(10\) | 3466.01 | + | 6003.30i | 1.09605 | + | 1.89841i | ||||
\(11\) | −1514.78 | + | 2623.67i | −0.343142 | + | 0.594339i | −0.985014 | − | 0.172472i | \(-0.944825\pi\) |
0.641872 | + | 0.766811i | \(0.278158\pi\) | |||||||
\(12\) | 11330.1 | − | 4123.81i | 1.89277 | − | 0.688913i | ||||
\(13\) | −7510.47 | + | 6302.03i | −0.948124 | + | 0.795571i | −0.978981 | − | 0.203953i | \(-0.934621\pi\) |
0.0308563 | + | 0.999524i | \(0.490177\pi\) | |||||||
\(14\) | −2346.59 | − | 4064.41i | −0.228554 | − | 0.395867i | ||||
\(15\) | 3388.96 | − | 19219.8i | 0.259267 | − | 1.47038i | ||||
\(16\) | 1070.13 | − | 6069.00i | 0.0653154 | − | 0.370422i | ||||
\(17\) | −25514.9 | − | 21409.5i | −1.25957 | − | 1.05690i | −0.995728 | − | 0.0923377i | \(-0.970566\pi\) |
−0.263841 | − | 0.964566i | \(-0.584989\pi\) | |||||||
\(18\) | −11133.9 | − | 4052.41i | −0.449981 | − | 0.163780i | ||||
\(19\) | −21398.9 | − | 7788.55i | −0.715736 | − | 0.260507i | −0.0416215 | − | 0.999133i | \(-0.513252\pi\) |
−0.674115 | + | 0.738627i | \(0.735475\pi\) | |||||||
\(20\) | −64020.5 | − | 53719.5i | −1.78943 | − | 1.50151i | ||||
\(21\) | −2294.43 | + | 13012.3i | −0.0540638 | + | 0.306611i | ||||
\(22\) | 9915.18 | − | 56231.8i | 0.198528 | − | 1.12591i | ||||
\(23\) | 28428.4 | + | 49239.5i | 0.487198 | + | 0.843851i | 0.999892 | − | 0.0147201i | \(-0.00468573\pi\) |
−0.512694 | + | 0.858572i | \(0.671352\pi\) | |||||||
\(24\) | −76018.6 | + | 63787.1i | −1.12248 | + | 0.941876i | ||||
\(25\) | −53702.6 | + | 19546.2i | −0.687393 | + | 0.250191i | ||||
\(26\) | 92392.2 | − | 160028.i | 1.03093 | − | 1.78562i | ||||
\(27\) | −41345.1 | − | 71611.8i | −0.404251 | − | 0.700183i | ||||
\(28\) | 43343.7 | + | 36369.7i | 0.373141 | + | 0.313102i | ||||
\(29\) | 52576.1 | − | 91064.4i | 0.400309 | − | 0.693355i | −0.593454 | − | 0.804868i | \(-0.702236\pi\) |
0.993763 | + | 0.111513i | \(0.0355696\pi\) | |||||||
\(30\) | 63873.3 | + | 362243.i | 0.431912 | + | 2.44949i | ||||
\(31\) | −123721. | −0.745892 | −0.372946 | − | 0.927853i | \(-0.621652\pi\) | ||||
−0.372946 | + | 0.927853i | \(0.621652\pi\) | |||||||
\(32\) | −21398.6 | − | 121357.i | −0.115441 | − | 0.654698i | ||||
\(33\) | −123146. | + | 103332.i | −0.596517 | + | 0.500537i | ||||
\(34\) | 589898. | + | 214705.i | 2.57396 | + | 0.936843i | ||||
\(35\) | 86061.3 | − | 31323.7i | 0.339289 | − | 0.123491i | ||||
\(36\) | 142846. | 0.510280 | ||||||||
\(37\) | −134356. | + | 277273.i | −0.436064 | + | 0.899916i | ||||
\(38\) | 429197. | 1.26886 | ||||||||
\(39\) | −488864. | + | 177932.i | −1.31966 | + | 0.480317i | ||||
\(40\) | 646353. | + | 235253.i | 1.59683 | + | 0.581200i | ||||
\(41\) | −147525. | + | 123788.i | −0.334288 | + | 0.280501i | −0.794444 | − | 0.607337i | \(-0.792238\pi\) |
0.460156 | + | 0.887838i | \(0.347793\pi\) | |||||||
\(42\) | −43244.1 | − | 245249.i | −0.0900646 | − | 0.510781i | ||||
\(43\) | −477173. | −0.915242 | −0.457621 | − | 0.889147i | \(-0.651298\pi\) | ||||
−0.457621 | + | 0.889147i | \(0.651298\pi\) | |||||||
\(44\) | 119538. | + | 677934.i | 0.211554 | + | 1.19978i | ||||
\(45\) | 115608. | − | 200239.i | 0.189123 | − | 0.327570i | ||||
\(46\) | −820897. | − | 688815.i | −1.24347 | − | 1.04340i | ||||
\(47\) | −469623. | − | 813412.i | −0.659792 | − | 1.14279i | −0.980669 | − | 0.195673i | \(-0.937311\pi\) |
0.320877 | − | 0.947121i | \(-0.396022\pi\) | |||||||
\(48\) | 163503. | − | 283195.i | 0.213393 | − | 0.369608i | ||||
\(49\) | 715611. | − | 260461.i | 0.868942 | − | 0.316269i | ||||
\(50\) | 825117. | − | 692356.i | 0.933514 | − | 0.783311i | ||||
\(51\) | −883687. | − | 1.53059e6i | −0.932831 | − | 1.61571i | ||||
\(52\) | −386848. | + | 2.19393e6i | −0.381530 | + | 2.16377i | ||||
\(53\) | −103163. | + | 585066.i | −0.0951827 | + | 0.539808i | 0.899509 | + | 0.436903i | \(0.143925\pi\) |
−0.994691 | + | 0.102905i | \(0.967186\pi\) | |||||||
\(54\) | 1.19388e6 | + | 1.00178e6i | 1.03177 | + | 0.865756i | ||||
\(55\) | 1.04706e6 | + | 381099.i | 0.848598 | + | 0.308864i | ||||
\(56\) | −437599. | − | 159273.i | −0.332980 | − | 0.121195i | ||||
\(57\) | −925653. | − | 776715.i | −0.662043 | − | 0.555520i | ||||
\(58\) | −344144. | + | 1.95174e6i | −0.231602 | + | 1.31348i | ||||
\(59\) | 411688. | − | 2.33480e6i | 0.260967 | − | 1.48002i | −0.519310 | − | 0.854586i | \(-0.673811\pi\) |
0.780278 | − | 0.625433i | \(-0.215078\pi\) | |||||||
\(60\) | −2.21730e6 | − | 3.84047e6i | −1.32524 | − | 2.29538i | ||||
\(61\) | −1.37848e6 | + | 1.15668e6i | −0.777582 | + | 0.652469i | −0.942638 | − | 0.333815i | \(-0.891664\pi\) |
0.165057 | + | 0.986284i | \(0.447219\pi\) | |||||||
\(62\) | 2.19119e6 | − | 797527.i | 1.16764 | − | 0.424986i | ||||
\(63\) | −78269.8 | + | 135567.i | −0.0394369 | + | 0.0683067i | ||||
\(64\) | 1.55569e6 | + | 2.69453e6i | 0.741810 | + | 1.28485i | ||||
\(65\) | 2.76232e6 | + | 2.31786e6i | 1.24761 | + | 1.04687i | ||||
\(66\) | 1.51492e6 | − | 2.62392e6i | 0.648614 | − | 1.12343i | ||||
\(67\) | 424693. | + | 2.40855e6i | 0.172509 | + | 0.978350i | 0.940979 | + | 0.338464i | \(0.109907\pi\) |
−0.768470 | + | 0.639886i | \(0.778982\pi\) | |||||||
\(68\) | −7.56827e6 | −2.91887 | ||||||||
\(69\) | 523893. | + | 2.97114e6i | 0.191986 | + | 1.08881i | ||||
\(70\) | −1.32229e6 | + | 1.10954e6i | −0.460771 | + | 0.386633i | ||||
\(71\) | 2.67810e6 | + | 974749.i | 0.888020 | + | 0.323213i | 0.745442 | − | 0.666571i | \(-0.232238\pi\) |
0.142578 | + | 0.989784i | \(0.454461\pi\) | |||||||
\(72\) | −1.10477e6 | + | 402103.i | −0.348825 | + | 0.126962i | ||||
\(73\) | −2.61582e6 | −0.787006 | −0.393503 | − | 0.919323i | \(-0.628737\pi\) | ||||
−0.393503 | + | 0.919323i | \(0.628737\pi\) | |||||||
\(74\) | 592186. | − | 5.77681e6i | 0.169882 | − | 1.65721i | ||||
\(75\) | −3.03249e6 | −0.830012 | ||||||||
\(76\) | −4.86237e6 | + | 1.76976e6i | −1.27058 | + | 0.462452i | ||||
\(77\) | −708890. | − | 258015.i | −0.176954 | − | 0.0644061i | ||||
\(78\) | 7.51119e6 | − | 6.30264e6i | 1.79216 | − | 1.50380i | ||||
\(79\) | −898035. | − | 5.09301e6i | −0.204927 | − | 1.16220i | −0.897555 | − | 0.440902i | \(-0.854659\pi\) |
0.692629 | − | 0.721294i | \(-0.256452\pi\) | |||||||
\(80\) | −2.26659e6 | −0.494946 | ||||||||
\(81\) | −1.00067e6 | − | 5.67508e6i | −0.209215 | − | 1.18652i | ||||
\(82\) | 1.81482e6 | − | 3.14336e6i | 0.363483 | − | 0.629572i | ||||
\(83\) | −612393. | − | 513859.i | −0.117559 | − | 0.0986440i | 0.582113 | − | 0.813108i | \(-0.302226\pi\) |
−0.699672 | + | 0.714464i | \(0.746671\pi\) | |||||||
\(84\) | 1.50118e6 | + | 2.60011e6i | 0.276346 | + | 0.478646i | ||||
\(85\) | −6.12515e6 | + | 1.06091e7i | −1.08181 | + | 1.87375i | ||||
\(86\) | 8.45111e6 | − | 3.07595e6i | 1.43275 | − | 0.521477i | ||||
\(87\) | 4.27426e6 | − | 3.58653e6i | 0.695895 | − | 0.583926i | ||||
\(88\) | −2.83286e6 | − | 4.90665e6i | −0.443134 | − | 0.767531i | ||||
\(89\) | −83748.4 | + | 474961.i | −0.0125925 | + | 0.0714156i | −0.990456 | − | 0.137826i | \(-0.955988\pi\) |
0.977864 | + | 0.209242i | \(0.0670996\pi\) | |||||||
\(90\) | −756728. | + | 4.29162e6i | −0.109419 | + | 0.620543i | ||||
\(91\) | −1.87017e6 | − | 1.56926e6i | −0.260158 | − | 0.218298i | ||||
\(92\) | 1.21402e7 | + | 4.41867e6i | 1.62543 | + | 0.591609i | ||||
\(93\) | −6.16903e6 | − | 2.24534e6i | −0.795292 | − | 0.289463i | ||||
\(94\) | 1.35608e7 | + | 1.13789e7i | 1.68399 | + | 1.41303i | ||||
\(95\) | −1.45439e6 | + | 8.24828e6i | −0.174040 | + | 0.987031i | ||||
\(96\) | 1.13547e6 | − | 6.43955e6i | 0.130986 | − | 0.742859i | ||||
\(97\) | 8.61177e6 | + | 1.49160e7i | 0.958057 | + | 1.65940i | 0.727212 | + | 0.686413i | \(0.240816\pi\) |
0.230845 | + | 0.972991i | \(0.425851\pi\) | |||||||
\(98\) | −1.09951e7 | + | 9.22595e6i | −1.18007 | + | 0.990193i | ||||
\(99\) | −1.78967e6 | + | 651388.i | −0.185375 | + | 0.0674709i | ||||
\(100\) | −6.49287e6 | + | 1.12460e7i | −0.649287 | + | 1.12460i | ||||
\(101\) | −6.45414e6 | − | 1.11789e7i | −0.623323 | − | 1.07963i | −0.988863 | − | 0.148832i | \(-0.952449\pi\) |
0.365539 | − | 0.930796i | \(-0.380885\pi\) | |||||||
\(102\) | 2.55173e7 | + | 2.14116e7i | 2.38086 | + | 1.99778i | ||||
\(103\) | 8.99310e6 | − | 1.55765e7i | 0.810922 | − | 1.40456i | −0.101298 | − | 0.994856i | \(-0.532299\pi\) |
0.912220 | − | 0.409702i | \(-0.134367\pi\) | |||||||
\(104\) | −3.18390e6 | − | 1.80568e7i | −0.277551 | − | 1.57407i | ||||
\(105\) | 4.85972e6 | 0.409684 | ||||||||
\(106\) | −1.94436e6 | − | 1.10270e7i | −0.158564 | − | 0.899262i | ||||
\(107\) | −1.30518e7 | + | 1.09517e7i | −1.02997 | + | 0.864251i | −0.990848 | − | 0.134983i | \(-0.956902\pi\) |
−0.0391266 | + | 0.999234i | \(0.512458\pi\) | |||||||
\(108\) | −1.76562e7 | − | 6.42633e6i | −1.34870 | − | 0.490885i | ||||
\(109\) | 1.79805e6 | − | 654436.i | 0.132987 | − | 0.0484033i | −0.274669 | − | 0.961539i | \(-0.588568\pi\) |
0.407656 | + | 0.913135i | \(0.366346\pi\) | |||||||
\(110\) | −2.10009e7 | −1.50440 | ||||||||
\(111\) | −1.17314e7 | + | 1.13872e7i | −0.814180 | + | 0.790291i | ||||
\(112\) | 1.53455e6 | 0.103209 | ||||||||
\(113\) | 1.59512e7 | − | 5.80578e6i | 1.03997 | − | 0.378518i | 0.235100 | − | 0.971971i | \(-0.424458\pi\) |
0.804868 | + | 0.593454i | \(0.202236\pi\) | |||||||
\(114\) | 2.14009e7 | + | 7.78929e6i | 1.35290 | + | 0.492415i | ||||
\(115\) | 1.60193e7 | − | 1.34418e7i | 0.982204 | − | 0.824167i | ||||
\(116\) | −4.14902e6 | − | 2.35303e7i | −0.246799 | − | 1.39966i | ||||
\(117\) | −6.16344e6 | −0.355773 | ||||||||
\(118\) | 7.75926e6 | + | 4.40050e7i | 0.434744 | + | 2.46555i | ||||
\(119\) | 4.14690e6 | − | 7.18264e6i | 0.225585 | − | 0.390724i | ||||
\(120\) | 2.79593e7 | + | 2.34607e7i | 1.47704 | + | 1.23938i | ||||
\(121\) | 5.15449e6 | + | 8.92785e6i | 0.264507 | + | 0.458140i | ||||
\(122\) | 1.69578e7 | − | 2.93717e7i | 0.845492 | − | 1.46443i | ||||
\(123\) | −9.60254e6 | + | 3.49504e6i | −0.465284 | + | 0.169350i | ||||
\(124\) | −2.15354e7 | + | 1.80704e7i | −1.01433 | + | 0.851120i | ||||
\(125\) | −3.85742e6 | − | 6.68125e6i | −0.176649 | − | 0.305966i | ||||
\(126\) | 512326. | − | 2.90555e6i | 0.0228165 | − | 0.129399i | ||||
\(127\) | 4.48510e6 | − | 2.54363e7i | 0.194294 | − | 1.10190i | −0.719127 | − | 0.694879i | \(-0.755458\pi\) |
0.913421 | − | 0.407017i | \(-0.133431\pi\) | |||||||
\(128\) | −3.28388e7 | − | 2.75551e7i | −1.38405 | − | 1.16136i | ||||
\(129\) | −2.37931e7 | − | 8.65998e6i | −0.975859 | − | 0.355184i | ||||
\(130\) | −6.38643e7 | − | 2.32447e7i | −2.54951 | − | 0.927946i | ||||
\(131\) | 1.29465e7 | + | 1.08634e7i | 0.503156 | + | 0.422198i | 0.858713 | − | 0.512457i | \(-0.171264\pi\) |
−0.355557 | + | 0.934654i | \(0.615709\pi\) | |||||||
\(132\) | −6.34301e6 | + | 3.59730e7i | −0.240042 | + | 1.36134i | ||||
\(133\) | 984667. | − | 5.58433e6i | 0.0362918 | − | 0.205821i | ||||
\(134\) | −2.30477e7 | − | 3.99197e7i | −0.827485 | − | 1.43325i | ||||
\(135\) | −2.32978e7 | + | 1.95492e7i | −0.814981 | + | 0.683850i | ||||
\(136\) | 5.85331e7 | − | 2.13043e7i | 1.99533 | − | 0.726241i | ||||
\(137\) | −1.48456e7 | + | 2.57133e7i | −0.493259 | + | 0.854349i | −0.999970 | − | 0.00776682i | \(-0.997528\pi\) |
0.506711 | + | 0.862116i | \(0.330861\pi\) | |||||||
\(138\) | −2.84311e7 | − | 4.92442e7i | −0.920911 | − | 1.59506i | ||||
\(139\) | 3.58614e7 | + | 3.00913e7i | 1.13260 | + | 0.950362i | 0.999172 | − | 0.0406966i | \(-0.0129577\pi\) |
0.133426 | + | 0.991059i | \(0.457402\pi\) | |||||||
\(140\) | 1.04052e7 | − | 1.80223e7i | 0.320480 | − | 0.555088i | ||||
\(141\) | −8.65445e6 | − | 4.90818e7i | −0.260000 | − | 1.47453i | ||||
\(142\) | −5.37147e7 | −1.57429 | ||||||||
\(143\) | −5.15777e6 | − | 2.92511e7i | −0.147498 | − | 0.836502i | ||||
\(144\) | 2.96776e6 | − | 2.49025e6i | 0.0828248 | − | 0.0694983i | ||||
\(145\) | −3.63422e7 | − | 1.32275e7i | −0.989973 | − | 0.360321i | ||||
\(146\) | 4.63283e7 | − | 1.68621e7i | 1.23200 | − | 0.448412i | ||||
\(147\) | 4.04093e7 | 1.04923 | ||||||||
\(148\) | 1.71113e7 | + | 6.78873e7i | 0.433878 | + | 1.72136i | ||||
\(149\) | −3.02732e7 | −0.749731 | −0.374866 | − | 0.927079i | \(-0.622311\pi\) | ||||
−0.374866 | + | 0.927079i | \(0.622311\pi\) | |||||||
\(150\) | 5.37078e7 | − | 1.95480e7i | 1.29932 | − | 0.472915i | ||||
\(151\) | −3.59800e7 | − | 1.30957e7i | −0.850437 | − | 0.309534i | −0.120218 | − | 0.992747i | \(-0.538360\pi\) |
−0.730218 | + | 0.683214i | \(0.760582\pi\) | |||||||
\(152\) | 3.26238e7 | − | 2.73746e7i | 0.753498 | − | 0.632260i | ||||
\(153\) | −3.63596e6 | − | 2.06206e7i | −0.0820728 | − | 0.465458i | ||||
\(154\) | 1.42182e7 | 0.313706 | ||||||||
\(155\) | 7.90168e6 | + | 4.48126e7i | 0.170435 | + | 0.966584i | ||||
\(156\) | −5.91058e7 | + | 1.02374e8i | −1.24650 | + | 2.15901i | ||||
\(157\) | 6.91572e7 | + | 5.80297e7i | 1.42623 | + | 1.19675i | 0.947902 | + | 0.318562i | \(0.103200\pi\) |
0.478324 | + | 0.878184i | \(0.341245\pi\) | |||||||
\(158\) | 4.87355e7 | + | 8.44123e7i | 0.982981 | + | 1.70257i | ||||
\(159\) | −1.57620e7 | + | 2.73007e7i | −0.310973 | + | 0.538621i | ||||
\(160\) | −4.25900e7 | + | 1.55015e7i | −0.822030 | + | 0.299195i | ||||
\(161\) | −1.08455e7 | + | 9.10049e6i | −0.204815 | + | 0.171860i | ||||
\(162\) | 5.43054e7 | + | 9.40596e7i | 1.00355 | + | 1.73820i | ||||
\(163\) | 3.40817e6 | − | 1.93287e7i | 0.0616402 | − | 0.349579i | −0.938352 | − | 0.345681i | \(-0.887648\pi\) |
0.999992 | − | 0.00389827i | \(-0.00124086\pi\) | |||||||
\(164\) | −7.59868e6 | + | 4.30943e7i | −0.134519 | + | 0.762897i | ||||
\(165\) | 4.52928e7 | + | 3.80052e7i | 0.784938 | + | 0.658641i | ||||
\(166\) | 1.41584e7 | + | 5.15324e6i | 0.240235 | + | 0.0874384i | ||||
\(167\) | 7.72128e7 | + | 2.81032e7i | 1.28287 | + | 0.466925i | 0.891379 | − | 0.453258i | \(-0.149738\pi\) |
0.391487 | + | 0.920183i | \(0.371961\pi\) | |||||||
\(168\) | −1.89293e7 | − | 1.58836e7i | −0.308001 | − | 0.258443i | ||||
\(169\) | 5.79538e6 | − | 3.28672e7i | 0.0923588 | − | 0.523793i | ||||
\(170\) | 4.00930e7 | − | 2.27379e8i | 0.625890 | − | 3.54960i | ||||
\(171\) | −7.15788e6 | − | 1.23978e7i | −0.109471 | − | 0.189609i | ||||
\(172\) | −8.30591e7 | + | 6.96948e7i | −1.24462 | + | 1.04436i | ||||
\(173\) | 5.03405e7 | − | 1.83224e7i | 0.739190 | − | 0.269043i | 0.0551401 | − | 0.998479i | \(-0.482439\pi\) |
0.684049 | + | 0.729436i | \(0.260217\pi\) | |||||||
\(174\) | −5.25811e7 | + | 9.10731e7i | −0.756671 | + | 1.31059i | ||||
\(175\) | −7.11532e6 | − | 1.23241e7i | −0.100360 | − | 0.173829i | ||||
\(176\) | 1.43020e7 | + | 1.20008e7i | 0.197744 | + | 0.165927i | ||||
\(177\) | 6.29010e7 | − | 1.08948e8i | 0.852611 | − | 1.47677i | ||||
\(178\) | −1.57844e6 | − | 8.95179e6i | −0.0209777 | − | 0.118971i | ||||
\(179\) | −4.73585e7 | −0.617181 | −0.308590 | − | 0.951195i | \(-0.599857\pi\) | ||||
−0.308590 | + | 0.951195i | \(0.599857\pi\) | |||||||
\(180\) | −9.12315e6 | − | 5.17400e7i | −0.116598 | − | 0.661260i | ||||
\(181\) | 8.78297e7 | − | 7.36978e7i | 1.10095 | − | 0.923804i | 0.103458 | − | 0.994634i | \(-0.467009\pi\) |
0.997488 | + | 0.0708300i | \(0.0225648\pi\) | |||||||
\(182\) | 4.32380e7 | + | 1.57373e7i | 0.531638 | + | 0.193500i | ||||
\(183\) | −8.97267e7 | + | 3.26579e7i | −1.08229 | + | 0.393921i | ||||
\(184\) | −1.06331e8 | −1.25834 | ||||||||
\(185\) | 1.09012e8 | + | 3.09561e7i | 1.26582 | + | 0.359456i | ||||
\(186\) | 1.23732e8 | 1.40990 | ||||||||
\(187\) | 9.48207e7 | − | 3.45119e7i | 1.06037 | − | 0.385943i | ||||
\(188\) | −2.00550e8 | − | 7.29943e7i | −2.20126 | − | 0.801192i | ||||
\(189\) | 1.57733e7 | − | 1.32354e7i | 0.169944 | − | 0.142600i | ||||
\(190\) | −2.74116e7 | − | 1.55459e8i | −0.289932 | − | 1.64429i | ||||
\(191\) | −1.66087e8 | −1.72472 | −0.862360 | − | 0.506296i | \(-0.831014\pi\) | ||||
−0.862360 | + | 0.506296i | \(0.831014\pi\) | |||||||
\(192\) | 2.86690e7 | + | 1.62590e8i | 0.292319 | + | 1.65783i | ||||
\(193\) | −4.25216e7 | + | 7.36496e7i | −0.425754 | + | 0.737428i | −0.996491 | − | 0.0837054i | \(-0.973325\pi\) |
0.570736 | + | 0.821133i | \(0.306658\pi\) | |||||||
\(194\) | −2.48673e8 | − | 2.08661e8i | −2.44525 | − | 2.05180i | ||||
\(195\) | 9.56709e7 | + | 1.65707e8i | 0.923972 | + | 1.60037i | ||||
\(196\) | 8.65205e7 | − | 1.49858e8i | 0.820772 | − | 1.42162i | ||||
\(197\) | −8.79274e7 | + | 3.20029e7i | −0.819393 | + | 0.298235i | −0.717498 | − | 0.696561i | \(-0.754713\pi\) |
−0.101895 | + | 0.994795i | \(0.532491\pi\) | |||||||
\(198\) | 2.74976e7 | − | 2.30732e7i | 0.251748 | − | 0.211242i | ||||
\(199\) | −7.93575e7 | − | 1.37451e8i | −0.713843 | − | 1.23641i | −0.963404 | − | 0.268053i | \(-0.913620\pi\) |
0.249562 | − | 0.968359i | \(-0.419713\pi\) | |||||||
\(200\) | 1.85591e7 | − | 1.05254e8i | 0.164041 | − | 0.930320i | ||||
\(201\) | −2.25353e7 | + | 1.27804e8i | −0.195739 | + | 1.11009i | ||||
\(202\) | 1.86369e8 | + | 1.56382e8i | 1.59091 | + | 1.33493i | ||||
\(203\) | 2.46047e7 | + | 8.95538e6i | 0.206434 | + | 0.0751360i | ||||
\(204\) | −3.77374e8 | − | 1.37353e8i | −3.11219 | − | 1.13274i | ||||
\(205\) | 5.42590e7 | + | 4.55287e7i | 0.439879 | + | 0.369103i | ||||
\(206\) | −5.88656e7 | + | 3.33844e8i | −0.469166 | + | 2.66077i | ||||
\(207\) | −6.20673e6 | + | 3.52001e7i | −0.0486370 | + | 0.275834i | ||||
\(208\) | 3.02099e7 | + | 5.23250e7i | 0.232770 | + | 0.403169i | ||||
\(209\) | 5.28490e7 | − | 4.43456e7i | 0.400428 | − | 0.335999i | ||||
\(210\) | −8.60695e7 | + | 3.13267e7i | −0.641330 | + | 0.233425i | ||||
\(211\) | 4.07307e7 | − | 7.05476e7i | 0.298492 | − | 0.517004i | −0.677299 | − | 0.735708i | \(-0.736850\pi\) |
0.975791 | + | 0.218704i | \(0.0701830\pi\) | |||||||
\(212\) | 6.74964e7 | + | 1.16907e8i | 0.486525 | + | 0.842686i | ||||
\(213\) | 1.15847e8 | + | 9.72072e7i | 0.821403 | + | 0.689239i | ||||
\(214\) | 1.60560e8 | − | 2.78098e8i | 1.11993 | − | 1.93977i | ||||
\(215\) | 3.04757e7 | + | 1.72836e8i | 0.209131 | + | 1.18604i | ||||
\(216\) | 1.54643e8 | 1.04410 | ||||||||
\(217\) | −5.34966e6 | − | 3.03395e7i | −0.0355400 | − | 0.201557i | ||||
\(218\) | −2.76263e7 | + | 2.31812e7i | −0.180603 | + | 0.151544i | ||||
\(219\) | −1.30432e8 | − | 4.74733e7i | −0.839129 | − | 0.305418i | ||||
\(220\) | 2.37919e8 | − | 8.65954e7i | 1.50643 | − | 0.548296i | ||||
\(221\) | 3.26552e8 | 2.03507 | ||||||||
\(222\) | 1.34369e8 | − | 2.77300e8i | 0.824256 | − | 1.70104i | ||||
\(223\) | −1.37073e8 | −0.827725 | −0.413862 | − | 0.910339i | \(-0.635821\pi\) | ||||
−0.413862 | + | 0.910339i | \(0.635821\pi\) | |||||||
\(224\) | 2.88347e7 | − | 1.04950e7i | 0.171414 | − | 0.0623897i | ||||
\(225\) | −3.37602e7 | − | 1.22877e7i | −0.197591 | − | 0.0719171i | ||||
\(226\) | −2.45084e8 | + | 2.05650e8i | −1.41233 | + | 1.18508i | ||||
\(227\) | 7.99024e6 | + | 4.53149e7i | 0.0453387 | + | 0.257129i | 0.999049 | − | 0.0435978i | \(-0.0138820\pi\) |
−0.953710 | + | 0.300726i | \(0.902771\pi\) | |||||||
\(228\) | −2.74569e8 | −1.53419 | ||||||||
\(229\) | −5.33634e7 | − | 3.02639e8i | −0.293643 | − | 1.66533i | −0.672667 | − | 0.739945i | \(-0.734851\pi\) |
0.379024 | − | 0.925387i | \(-0.376260\pi\) | |||||||
\(230\) | −1.97066e8 | + | 3.41329e8i | −1.06798 | + | 1.84980i | ||||
\(231\) | −3.06645e7 | − | 2.57306e7i | −0.163680 | − | 0.137343i | ||||
\(232\) | 9.83251e7 | + | 1.70304e8i | 0.516959 | + | 0.895400i | ||||
\(233\) | 6.30546e7 | − | 1.09214e8i | 0.326566 | − | 0.565629i | −0.655262 | − | 0.755402i | \(-0.727442\pi\) |
0.981828 | + | 0.189773i | \(0.0607751\pi\) | |||||||
\(234\) | 1.09159e8 | − | 3.97308e7i | 0.556936 | − | 0.202708i | ||||
\(235\) | −2.64631e8 | + | 2.22052e8i | −1.33016 | + | 1.11614i | ||||
\(236\) | −2.69355e8 | − | 4.66537e8i | −1.33393 | − | 2.31044i | ||||
\(237\) | 4.76522e7 | − | 2.70249e8i | 0.232522 | − | 1.31870i | ||||
\(238\) | −2.71441e7 | + | 1.53942e8i | −0.130514 | + | 0.740181i | ||||
\(239\) | 1.05180e8 | + | 8.82566e7i | 0.498358 | + | 0.418172i | 0.857010 | − | 0.515299i | \(-0.172319\pi\) |
−0.358653 | + | 0.933471i | \(0.616764\pi\) | |||||||
\(240\) | −1.13018e8 | − | 4.11352e7i | −0.527726 | − | 0.192077i | ||||
\(241\) | 1.62654e6 | + | 592012.i | 0.00748523 | + | 0.00272440i | 0.345760 | − | 0.938323i | \(-0.387621\pi\) |
−0.338275 | + | 0.941047i | \(0.609843\pi\) | |||||||
\(242\) | −1.48841e8 | − | 1.24892e8i | −0.675101 | − | 0.566477i | ||||
\(243\) | 2.16951e7 | − | 1.23039e8i | 0.0969929 | − | 0.550074i | ||||
\(244\) | −7.10026e7 | + | 4.02676e8i | −0.312903 | + | 1.77456i | ||||
\(245\) | −1.40045e8 | − | 2.42566e8i | −0.608398 | − | 1.05378i | ||||
\(246\) | 1.47539e8 | − | 1.23800e8i | 0.631878 | − | 0.530209i | ||||
\(247\) | 2.09799e8 | − | 7.63606e7i | 0.885858 | − | 0.322426i | ||||
\(248\) | 1.15688e8 | − | 2.00377e8i | 0.481623 | − | 0.834195i | ||||
\(249\) | −2.12098e7 | − | 3.67364e7i | −0.0870639 | − | 0.150799i | ||||
\(250\) | 1.11387e8 | + | 9.34646e7i | 0.450862 | + | 0.378318i | ||||
\(251\) | −3.98930e7 | + | 6.90967e7i | −0.159235 | + | 0.275803i | −0.934593 | − | 0.355719i | \(-0.884236\pi\) |
0.775358 | + | 0.631522i | \(0.217569\pi\) | |||||||
\(252\) | 6.17664e6 | + | 3.50294e7i | 0.0243136 | + | 0.137890i | ||||
\(253\) | −1.72251e8 | −0.668712 | ||||||||
\(254\) | 8.45326e7 | + | 4.79408e8i | 0.323673 | + | 1.83564i | ||||
\(255\) | −4.97955e8 | + | 4.17834e8i | −1.88061 | + | 1.57802i | ||||
\(256\) | 3.84989e8 | + | 1.40125e8i | 1.43420 | + | 0.522005i | ||||
\(257\) | −1.80088e8 | + | 6.55467e7i | −0.661788 | + | 0.240871i | −0.651008 | − | 0.759071i | \(-0.725654\pi\) |
−0.0107799 | + | 0.999942i | \(0.503431\pi\) | |||||||
\(258\) | 4.77219e8 | 1.73001 | ||||||||
\(259\) | −7.38041e7 | − | 2.09582e7i | −0.263956 | − | 0.0749557i | ||||
\(260\) | 8.19366e8 | 2.89115 | ||||||||
\(261\) | 6.21174e7 | − | 2.26089e7i | 0.216258 | − | 0.0787114i | ||||
\(262\) | −2.99320e8 | − | 1.08944e8i | −1.02821 | − | 0.374238i | ||||
\(263\) | 4.09875e7 | − | 3.43926e7i | 0.138933 | − | 0.116579i | −0.570673 | − | 0.821178i | \(-0.693317\pi\) |
0.709606 | + | 0.704599i | \(0.248873\pi\) | |||||||
\(264\) | −5.22053e7 | − | 2.96071e8i | −0.174623 | − | 0.990334i | ||||
\(265\) | 2.18505e8 | 0.721274 | ||||||||
\(266\) | 1.85584e7 | + | 1.05250e8i | 0.0604583 | + | 0.342876i | ||||
\(267\) | −1.27958e7 | + | 2.21629e7i | −0.0411411 | + | 0.0712586i | ||||
\(268\) | 4.25712e8 | + | 3.57215e8i | 1.35097 | + | 1.13359i | ||||
\(269\) | −6.71260e7 | − | 1.16266e8i | −0.210261 | − | 0.364182i | 0.741535 | − | 0.670914i | \(-0.234098\pi\) |
−0.951796 | + | 0.306732i | \(0.900765\pi\) | |||||||
\(270\) | 2.86605e8 | − | 4.96414e8i | 0.886157 | − | 1.53487i | ||||
\(271\) | −5.07715e8 | + | 1.84793e8i | −1.54963 | + | 0.564019i | −0.968330 | − | 0.249672i | \(-0.919677\pi\) |
−0.581298 | + | 0.813691i | \(0.697455\pi\) | |||||||
\(272\) | −1.57238e8 | + | 1.31939e8i | −0.473770 | + | 0.397540i | ||||
\(273\) | −6.47720e7 | − | 1.12188e8i | −0.192672 | − | 0.333717i | ||||
\(274\) | 9.71738e7 | − | 5.51100e8i | 0.285379 | − | 1.61847i | ||||
\(275\) | 3.00648e7 | − | 1.70506e8i | 0.0871754 | − | 0.494396i | ||||
\(276\) | 5.25150e8 | + | 4.40653e8i | 1.50349 | + | 1.26158i | ||||
\(277\) | −2.51149e8 | − | 9.14108e7i | −0.709990 | − | 0.258415i | −0.0383199 | − | 0.999266i | \(-0.512201\pi\) |
−0.671670 | + | 0.740850i | \(0.734423\pi\) | |||||||
\(278\) | −8.29109e8 | − | 3.01771e8i | −2.31449 | − | 0.842404i | ||||
\(279\) | −5.95807e7 | − | 4.99941e7i | −0.164245 | − | 0.137818i | ||||
\(280\) | −2.97419e7 | + | 1.68675e8i | −0.0809684 | + | 0.459194i | ||||
\(281\) | 7.74396e7 | − | 4.39182e8i | 0.208205 | − | 1.18079i | −0.684111 | − | 0.729378i | \(-0.739810\pi\) |
0.892316 | − | 0.451411i | \(-0.149079\pi\) | |||||||
\(282\) | 4.69668e8 | + | 8.13490e8i | 1.24715 | + | 2.16013i | ||||
\(283\) | 2.02127e8 | − | 1.69605e8i | 0.530117 | − | 0.444821i | −0.338025 | − | 0.941137i | \(-0.609759\pi\) |
0.868142 | + | 0.496316i | \(0.165314\pi\) | |||||||
\(284\) | 6.08534e8 | − | 2.21488e8i | 1.57641 | − | 0.573768i | ||||
\(285\) | −2.22214e8 | + | 3.84886e8i | −0.568610 | + | 0.984861i | ||||
\(286\) | 2.79907e8 | + | 4.84813e8i | 0.707510 | + | 1.22544i | ||||
\(287\) | −3.67349e7 | − | 3.08243e7i | −0.0917260 | − | 0.0769673i | ||||
\(288\) | 3.87342e7 | − | 6.70896e7i | 0.0955478 | − | 0.165494i | ||||
\(289\) | 1.21386e8 | + | 6.88416e8i | 0.295820 | + | 1.67768i | ||||
\(290\) | 7.28916e8 | 1.75503 | ||||||||
\(291\) | 1.58702e8 | + | 9.00043e8i | 0.377534 | + | 2.14110i | ||||
\(292\) | −4.55323e8 | + | 3.82061e8i | −1.07024 | + | 0.898034i | ||||
\(293\) | −5.51887e8 | − | 2.00870e8i | −1.28178 | − | 0.466530i | −0.390759 | − | 0.920493i | \(-0.627787\pi\) |
−0.891020 | + | 0.453963i | \(0.850010\pi\) | |||||||
\(294\) | −7.15680e8 | + | 2.60486e8i | −1.64249 | + | 0.597818i | ||||
\(295\) | −8.71978e8 | −1.97755 | ||||||||
\(296\) | −3.23438e8 | − | 4.76873e8i | −0.724887 | − | 1.06876i | ||||
\(297\) | 2.50514e8 | 0.554862 | ||||||||
\(298\) | 5.36162e8 | − | 1.95147e8i | 1.17365 | − | 0.427174i | ||||
\(299\) | −5.23820e8 | − | 1.90655e8i | −1.13327 | − | 0.412476i | ||||
\(300\) | −5.27850e8 | + | 4.42919e8i | −1.12872 | + | 0.947108i | ||||
\(301\) | −2.06329e7 | − | 1.17015e8i | −0.0436092 | − | 0.247320i | ||||
\(302\) | 7.21652e8 | 1.50766 | ||||||||
\(303\) | −1.18940e8 | − | 6.74542e8i | −0.245628 | − | 1.39303i | ||||
\(304\) | −7.01682e7 | + | 1.21535e8i | −0.143246 | + | 0.248109i | ||||
\(305\) | 5.07000e8 | + | 4.25423e8i | 1.02320 | + | 0.858563i | ||||
\(306\) | 1.97320e8 | + | 3.41768e8i | 0.393683 | + | 0.681878i | ||||
\(307\) | 9.70467e7 | − | 1.68090e8i | 0.191424 | − | 0.331556i | −0.754298 | − | 0.656532i | \(-0.772023\pi\) |
0.945722 | + | 0.324976i | \(0.105356\pi\) | |||||||
\(308\) | −1.61078e8 | + | 5.86276e7i | −0.314129 | + | 0.114334i | ||||
\(309\) | 7.31110e8 | − | 6.13474e8i | 1.40970 | − | 1.18288i | ||||
\(310\) | −4.28816e8 | − | 7.42732e8i | −0.817533 | − | 1.41601i | ||||
\(311\) | −2.13718e6 | + | 1.21205e7i | −0.00402883 | + | 0.0228486i | −0.986756 | − | 0.162212i | \(-0.948137\pi\) |
0.982727 | + | 0.185061i | \(0.0592482\pi\) | |||||||
\(312\) | 1.68946e8 | − | 9.58143e8i | 0.314926 | − | 1.78603i | ||||
\(313\) | 3.08714e8 | + | 2.59042e8i | 0.569051 | + | 0.477490i | 0.881331 | − | 0.472500i | \(-0.156648\pi\) |
−0.312280 | + | 0.949990i | \(0.601093\pi\) | |||||||
\(314\) | −1.59890e9 | − | 5.81952e8i | −2.91452 | − | 1.06080i | ||||
\(315\) | 5.41025e7 | + | 1.96917e7i | 0.0975283 | + | 0.0354974i | ||||
\(316\) | −9.00190e8 | − | 7.55349e8i | −1.60483 | − | 1.34661i | ||||
\(317\) | −2.38552e7 | + | 1.35290e8i | −0.0420607 | + | 0.238538i | −0.998589 | − | 0.0531010i | \(-0.983089\pi\) |
0.956528 | + | 0.291639i | \(0.0942006\pi\) | |||||||
\(318\) | 1.03173e8 | − | 5.85122e8i | 0.179916 | − | 1.02036i | ||||
\(319\) | 1.59282e8 | + | 2.75884e8i | 0.274725 | + | 0.475838i | ||||
\(320\) | 8.76625e8 | − | 7.35575e8i | 1.49551 | − | 1.25488i | ||||
\(321\) | −8.49554e8 | + | 3.09212e8i | −1.43358 | + | 0.521782i | ||||
\(322\) | 1.33420e8 | − | 2.31089e8i | 0.222702 | − | 0.385731i | ||||
\(323\) | 3.79240e8 | + | 6.56863e8i | 0.626188 | + | 1.08459i | ||||
\(324\) | −1.00307e9 | − | 8.41677e8i | −1.63842 | − | 1.37479i | ||||
\(325\) | 2.80151e8 | − | 4.85236e8i | 0.452690 | − | 0.784082i | ||||
\(326\) | 6.42352e7 | + | 3.64296e8i | 0.102686 | + | 0.582361i | ||||
\(327\) | 1.01533e8 | 0.160579 | ||||||||
\(328\) | −6.25399e7 | − | 3.54681e8i | −0.0978586 | − | 0.554983i | ||||
\(329\) | 1.79163e8 | − | 1.50336e8i | 0.277372 | − | 0.232743i | ||||
\(330\) | −1.04716e9 | − | 3.81135e8i | −1.60404 | − | 0.583822i | ||||
\(331\) | −9.86131e8 | + | 3.58922e8i | −1.49464 | + | 0.544004i | −0.954666 | − | 0.297678i | \(-0.903788\pi\) |
−0.539973 | + | 0.841682i | \(0.681566\pi\) | |||||||
\(332\) | −1.81649e8 | −0.272427 | ||||||||
\(333\) | −1.76745e8 | + | 7.92361e7i | −0.262297 | + | 0.117589i | ||||
\(334\) | −1.54866e9 | −2.27427 | ||||||||
\(335\) | 8.45275e8 | − | 3.07655e8i | 1.22840 | − | 0.447102i | ||||
\(336\) | 7.65165e7 | + | 2.78497e7i | 0.110044 | + | 0.0400529i | ||||
\(337\) | 4.16657e8 | − | 3.49616e8i | 0.593026 | − | 0.497608i | −0.296170 | − | 0.955135i | \(-0.595709\pi\) |
0.889195 | + | 0.457528i | \(0.151265\pi\) | |||||||
\(338\) | 1.09228e8 | + | 6.19462e8i | 0.153860 | + | 0.872583i | ||||
\(339\) | 9.00738e8 | 1.25574 | ||||||||
\(340\) | 4.83364e8 | + | 2.74129e9i | 0.666957 | + | 3.78250i | ||||
\(341\) | 1.87409e8 | − | 3.24602e8i | 0.255947 | − | 0.443313i | ||||
\(342\) | 2.06691e8 | + | 1.73434e8i | 0.279402 | + | 0.234446i | ||||
\(343\) | 1.97349e8 | + | 3.41819e8i | 0.264062 | + | 0.457369i | ||||
\(344\) | 4.46192e8 | − | 7.72828e8i | 0.590973 | − | 1.02359i | ||||
\(345\) | 1.04271e9 | − | 3.79517e8i | 1.36709 | − | 0.497582i | ||||
\(346\) | −7.73459e8 | + | 6.49009e8i | −1.00386 | + | 0.842335i | ||||
\(347\) | 5.12201e8 | + | 8.87159e8i | 0.658094 | + | 1.13985i | 0.981109 | + | 0.193458i | \(0.0619702\pi\) |
−0.323015 | + | 0.946394i | \(0.604696\pi\) | |||||||
\(348\) | 2.20158e8 | − | 1.24858e9i | 0.280032 | − | 1.58814i | ||||
\(349\) | 1.58125e8 | − | 8.96771e8i | 0.199118 | − | 1.12926i | −0.707312 | − | 0.706902i | \(-0.750092\pi\) |
0.906430 | − | 0.422355i | \(-0.138797\pi\) | |||||||
\(350\) | 2.05461e8 | + | 1.72403e8i | 0.256149 | + | 0.214934i | ||||
\(351\) | 7.61821e8 | + | 2.77280e8i | 0.940325 | + | 0.342250i | ||||
\(352\) | 3.50816e8 | + | 1.27686e8i | 0.428726 | + | 0.156043i | ||||
\(353\) | 2.66323e7 | + | 2.23472e7i | 0.0322253 | + | 0.0270403i | 0.658758 | − | 0.752355i | \(-0.271082\pi\) |
−0.626533 | + | 0.779395i | \(0.715527\pi\) | |||||||
\(354\) | −4.11727e8 | + | 2.33502e9i | −0.493286 | + | 2.79756i | ||||
\(355\) | 1.82020e8 | − | 1.03229e9i | 0.215933 | − | 1.22462i | ||||
\(356\) | 5.47941e7 | + | 9.49062e7i | 0.0643663 | + | 0.111486i | ||||
\(357\) | 3.37130e8 | − | 2.82886e8i | 0.392156 | − | 0.329058i | ||||
\(358\) | 8.38757e8 | − | 3.05282e8i | 0.966152 | − | 0.351650i | ||||
\(359\) | −7.70498e7 | + | 1.33454e8i | −0.0878902 | + | 0.152230i | −0.906619 | − | 0.421950i | \(-0.861346\pi\) |
0.818729 | + | 0.574180i | \(0.194679\pi\) | |||||||
\(360\) | 2.16204e8 | + | 3.74476e8i | 0.244233 | + | 0.423024i | ||||
\(361\) | −2.87496e8 | − | 2.41238e8i | −0.321630 | − | 0.269880i | ||||
\(362\) | −1.08046e9 | + | 1.87141e9i | −1.19710 | + | 2.07343i | ||||
\(363\) | 9.49895e7 | + | 5.38712e8i | 0.104232 | + | 0.591131i | ||||
\(364\) | −5.54734e8 | −0.602879 | ||||||||
\(365\) | 1.67065e8 | + | 9.47473e8i | 0.179829 | + | 1.01986i | ||||
\(366\) | 1.37861e9 | − | 1.15679e9i | 1.46980 | − | 1.23331i | ||||
\(367\) | −2.30862e8 | − | 8.40270e7i | −0.243793 | − | 0.0887335i | 0.217234 | − | 0.976120i | \(-0.430297\pi\) |
−0.461027 | + | 0.887386i | \(0.652519\pi\) | |||||||
\(368\) | 3.29256e8 | − | 1.19840e8i | 0.344403 | − | 0.125352i | ||||
\(369\) | −1.21066e8 | −0.125438 | ||||||||
\(370\) | −2.13023e9 | + | 1.54454e8i | −2.18636 | + | 0.158523i | ||||
\(371\) | −1.47934e8 | −0.150404 | ||||||||
\(372\) | −1.40176e9 | + | 5.10200e8i | −1.41180 | + | 0.513854i | ||||
\(373\) | −6.05907e7 | − | 2.20532e7i | −0.0604540 | − | 0.0220035i | 0.311616 | − | 0.950208i | \(-0.399130\pi\) |
−0.372070 | + | 0.928205i | \(0.621352\pi\) | |||||||
\(374\) | −1.45688e9 | + | 1.22247e9i | −1.44004 | + | 1.20833i | ||||
\(375\) | −7.10865e7 | − | 4.03152e8i | −0.0696110 | − | 0.394783i | ||||
\(376\) | 1.75653e9 | 1.70411 | ||||||||
\(377\) | 1.79020e8 | + | 1.01527e9i | 0.172071 | + | 0.975861i | ||||
\(378\) | −1.94040e8 | + | 3.36087e8i | −0.184786 | + | 0.320059i | ||||
\(379\) | 1.59738e8 | + | 1.34036e8i | 0.150720 | + | 0.126469i | 0.715030 | − | 0.699094i | \(-0.246413\pi\) |
−0.564310 | + | 0.825563i | \(0.690858\pi\) | |||||||
\(380\) | 9.51567e8 | + | 1.64816e9i | 0.889604 | + | 1.54084i | ||||
\(381\) | 6.85270e8 | − | 1.18692e9i | 0.634781 | − | 1.09947i | ||||
\(382\) | 2.94153e9 | − | 1.07063e9i | 2.69992 | − | 0.982692i | ||||
\(383\) | −5.84212e8 | + | 4.90212e8i | −0.531343 | + | 0.445850i | −0.868565 | − | 0.495576i | \(-0.834957\pi\) |
0.337222 | + | 0.941425i | \(0.390513\pi\) | |||||||
\(384\) | −1.13735e9 | − | 1.96994e9i | −1.02502 | − | 1.77539i | ||||
\(385\) | −4.81804e7 | + | 2.73245e8i | −0.0430287 | + | 0.244028i | ||||
\(386\) | 2.78331e8 | − | 1.57849e9i | 0.246324 | − | 1.39697i | ||||
\(387\) | −2.29794e8 | − | 1.92820e8i | −0.201535 | − | 0.169108i | ||||
\(388\) | 3.67761e9 | + | 1.33854e9i | 3.19635 | + | 1.16338i | ||||
\(389\) | 2.26149e8 | + | 8.23114e7i | 0.194792 | + | 0.0708984i | 0.437574 | − | 0.899182i | \(-0.355838\pi\) |
−0.242782 | + | 0.970081i | \(0.578060\pi\) | |||||||
\(390\) | −2.76259e9 | − | 2.31809e9i | −2.35825 | − | 1.97881i | ||||
\(391\) | 3.28846e8 | − | 1.86498e9i | 0.278211 | − | 1.57781i | ||||
\(392\) | −2.47308e8 | + | 1.40255e9i | −0.207366 | + | 1.17603i | ||||
\(393\) | 4.48392e8 | + | 7.76637e8i | 0.372635 | + | 0.645423i | ||||
\(394\) | 1.35097e9 | − | 1.13359e9i | 1.11278 | − | 0.933730i | ||||
\(395\) | −1.78738e9 | + | 6.50552e8i | −1.45924 | + | 0.531119i | ||||
\(396\) | −2.16379e8 | + | 3.74780e8i | −0.175098 | + | 0.303279i | ||||
\(397\) | 9.99682e8 | + | 1.73150e9i | 0.801853 | + | 1.38885i | 0.918395 | + | 0.395665i | \(0.129486\pi\) |
−0.116541 | + | 0.993186i | \(0.537181\pi\) | |||||||
\(398\) | 2.29152e9 | + | 1.92282e9i | 1.82194 | + | 1.52879i | ||||
\(399\) | 1.50445e8 | − | 2.60579e8i | 0.118570 | − | 0.205369i | ||||
\(400\) | 6.11569e7 | + | 3.46838e8i | 0.0477788 | + | 0.270967i | ||||
\(401\) | −2.43010e9 | −1.88199 | −0.940997 | − | 0.338416i | \(-0.890109\pi\) | ||||
−0.940997 | + | 0.338416i | \(0.890109\pi\) | |||||||
\(402\) | −4.24733e8 | − | 2.40878e9i | −0.326081 | − | 1.84930i | ||||
\(403\) | 9.29199e8 | − | 7.79691e8i | 0.707198 | − | 0.593410i | ||||
\(404\) | −2.75620e9 | − | 1.00318e9i | −2.07958 | − | 0.756907i | ||||
\(405\) | −1.99165e9 | + | 7.24902e8i | −1.48978 | + | 0.542234i | ||||
\(406\) | −4.93497e8 | −0.365968 | ||||||||
\(407\) | −5.23954e8 | − | 7.72511e8i | −0.385224 | − | 0.567969i | ||||
\(408\) | 3.30525e9 | 2.40932 | ||||||||
\(409\) | −1.43827e8 | + | 5.23487e7i | −0.103946 | + | 0.0378333i | −0.393470 | − | 0.919338i | \(-0.628725\pi\) |
0.289524 | + | 0.957171i | \(0.406503\pi\) | |||||||
\(410\) | −1.25446e9 | − | 4.56585e8i | −0.898903 | − | 0.327174i | ||||
\(411\) | −1.20690e9 | + | 1.01271e9i | −0.857479 | + | 0.719511i | ||||
\(412\) | −7.09687e8 | − | 4.02484e9i | −0.499950 | − | 2.83536i | ||||
\(413\) | 5.90354e8 | 0.412370 | ||||||||
\(414\) | −1.16981e8 | − | 6.63432e8i | −0.0810240 | − | 0.459510i | ||||
\(415\) | −1.47012e8 | + | 2.54633e8i | −0.100968 | + | 0.174882i | ||||
\(416\) | 9.25511e8 | + | 7.76596e8i | 0.630311 | + | 0.528894i | ||||
\(417\) | 1.24203e9 | + | 2.15126e9i | 0.838797 | + | 1.45284i | ||||
\(418\) | −6.50137e8 | + | 1.12607e9i | −0.435400 | + | 0.754135i | ||||
\(419\) | 6.79054e8 | − | 2.47155e8i | 0.450978 | − | 0.164142i | −0.106538 | − | 0.994309i | \(-0.533977\pi\) |
0.557516 | + | 0.830166i | \(0.311754\pi\) | |||||||
\(420\) | 8.45907e8 | − | 7.09800e8i | 0.557122 | − | 0.467481i | ||||
\(421\) | −8.53219e8 | − | 1.47782e9i | −0.557280 | − | 0.965237i | −0.997722 | − | 0.0674561i | \(-0.978512\pi\) |
0.440442 | − | 0.897781i | \(-0.354822\pi\) | |||||||
\(422\) | −2.66608e8 | + | 1.51201e9i | −0.172695 | + | 0.979403i | ||||
\(423\) | 1.02532e8 | − | 5.81488e8i | 0.0658671 | − | 0.373551i | ||||
\(424\) | −8.51106e8 | − | 7.14162e8i | −0.542254 | − | 0.455005i | ||||
\(425\) | 1.78869e9 | + | 6.51029e8i | 1.13025 | + | 0.411376i | ||||
\(426\) | −2.67836e9 | − | 9.74843e8i | −1.67855 | − | 0.610943i | ||||
\(427\) | −3.43254e8 | − | 2.88024e8i | −0.213362 | − | 0.179032i | ||||
\(428\) | −6.72269e8 | + | 3.81263e9i | −0.414467 | + | 2.35056i | ||||
\(429\) | 2.73685e8 | − | 1.55215e9i | 0.167360 | − | 0.949143i | ||||
\(430\) | −1.65388e9 | − | 2.86461e9i | −1.00315 | − | 1.73751i | ||||
\(431\) | 1.23363e8 | − | 1.03514e8i | 0.0742189 | − | 0.0622771i | −0.604923 | − | 0.796284i | \(-0.706796\pi\) |
0.679142 | + | 0.734007i | \(0.262352\pi\) | |||||||
\(432\) | −4.78857e8 | + | 1.74290e8i | −0.285767 | + | 0.104011i | ||||
\(433\) | 5.99659e8 | − | 1.03864e9i | 0.354974 | − | 0.614833i | −0.632139 | − | 0.774855i | \(-0.717823\pi\) |
0.987114 | + | 0.160021i | \(0.0511563\pi\) | |||||||
\(434\) | 2.90321e8 | + | 5.02851e8i | 0.170476 | + | 0.295274i | ||||
\(435\) | −1.57206e9 | − | 1.31911e9i | −0.915707 | − | 0.768369i | ||||
\(436\) | 2.17392e8 | − | 3.76534e8i | 0.125615 | − | 0.217571i | ||||
\(437\) | −2.24832e8 | − | 1.27508e9i | −0.128876 | − | 0.730893i | ||||
\(438\) | 2.61607e9 | 1.48761 | ||||||||
\(439\) | 1.21047e8 | + | 6.86494e8i | 0.0682856 | + | 0.387267i | 0.999727 | + | 0.0233751i | \(0.00744120\pi\) |
−0.931441 | + | 0.363892i | \(0.881448\pi\) | |||||||
\(440\) | −1.59631e9 | + | 1.33946e9i | −0.893370 | + | 0.749627i | ||||
\(441\) | 4.49870e8 | + | 1.63739e8i | 0.249777 | + | 0.0909113i | ||||
\(442\) | −5.78349e9 | + | 2.10502e9i | −3.18575 | + | 1.15952i | ||||
\(443\) | 8.46258e8 | 0.462476 | 0.231238 | − | 0.972897i | \(-0.425722\pi\) | ||||
0.231238 | + | 0.972897i | \(0.425722\pi\) | |||||||
\(444\) | −3.78837e8 | + | 3.69558e9i | −0.205406 | + | 2.00375i | ||||
\(445\) | 1.77384e8 | 0.0954231 | ||||||||
\(446\) | 2.42768e9 | − | 8.83603e8i | 1.29574 | − | 0.471612i | ||||
\(447\) | −1.50950e9 | − | 5.49413e8i | −0.799386 | − | 0.290953i | ||||
\(448\) | −5.93500e8 | + | 4.98006e8i | −0.311852 | + | 0.261674i | ||||
\(449\) | 5.96097e7 | + | 3.38063e8i | 0.0310781 | + | 0.176253i | 0.996396 | − | 0.0848252i | \(-0.0270332\pi\) |
−0.965318 | + | 0.261078i | \(0.915922\pi\) | |||||||
\(450\) | 6.77129e8 | 0.350290 | ||||||||
\(451\) | −1.01312e8 | − | 5.74567e8i | −0.0520046 | − | 0.294933i | ||||
\(452\) | 1.92857e9 | − | 3.34039e9i | 0.982317 | − | 1.70142i | ||||
\(453\) | −1.55639e9 | − | 1.30597e9i | −0.786639 | − | 0.660068i | ||||
\(454\) | −4.33622e8 | − | 7.51056e8i | −0.217478 | − | 0.376684i | ||||
\(455\) | −4.48957e8 | + | 7.77617e8i | −0.223442 | + | 0.387013i | ||||
\(456\) | 2.12352e9 | − | 7.72898e8i | 1.04877 | − | 0.381720i | ||||
\(457\) | 7.31692e8 | − | 6.13963e8i | 0.358610 | − | 0.300909i | −0.445627 | − | 0.895219i | \(-0.647019\pi\) |
0.804236 | + | 0.594310i | \(0.202575\pi\) | |||||||
\(458\) | 2.89598e9 | + | 5.01599e9i | 1.40853 | + | 2.43965i | ||||
\(459\) | −4.78259e8 | + | 2.71234e9i | −0.230844 | + | 1.30918i | ||||
\(460\) | 8.25121e8 | − | 4.67950e9i | 0.395244 | − | 2.24154i | ||||
\(461\) | 4.59667e8 | + | 3.85706e8i | 0.218519 | + | 0.183359i | 0.745476 | − | 0.666533i | \(-0.232222\pi\) |
−0.526956 | + | 0.849892i | \(0.676667\pi\) | |||||||
\(462\) | 7.08958e8 | + | 2.58039e8i | 0.334482 | + | 0.121742i | ||||
\(463\) | −1.76429e8 | − | 6.42149e7i | −0.0826108 | − | 0.0300679i | 0.300384 | − | 0.953818i | \(-0.402885\pi\) |
−0.382995 | + | 0.923750i | \(0.625107\pi\) | |||||||
\(464\) | −4.96407e8 | − | 4.16535e8i | −0.230688 | − | 0.193570i | ||||
\(465\) | −4.19285e8 | + | 2.37788e9i | −0.193385 | + | 1.09674i | ||||
\(466\) | −4.12733e8 | + | 2.34072e9i | −0.188938 | + | 1.07152i | ||||
\(467\) | −1.55576e9 | − | 2.69465e9i | −0.706859 | − | 1.22432i | −0.966016 | − | 0.258481i | \(-0.916778\pi\) |
0.259157 | − | 0.965835i | \(-0.416555\pi\) | |||||||
\(468\) | −1.07284e9 | + | 9.00218e8i | −0.483809 | + | 0.405964i | ||||
\(469\) | −5.72275e8 | + | 2.08291e8i | −0.256153 | + | 0.0932322i | ||||
\(470\) | 3.25544e9 | − | 5.63858e9i | 1.44633 | − | 2.50511i | ||||
\(471\) | 2.39520e9 | + | 4.14862e9i | 1.05626 | + | 1.82949i | ||||
\(472\) | 3.39647e9 | + | 2.84998e9i | 1.48673 | + | 1.24751i | ||||
\(473\) | 7.22810e8 | − | 1.25194e9i | 0.314058 | − | 0.543965i | ||||
\(474\) | 8.98121e8 | + | 5.09350e9i | 0.387356 | + | 2.19681i | ||||
\(475\) | 1.30141e9 | 0.557169 | ||||||||
\(476\) | −3.27251e8 | − | 1.85593e9i | −0.139078 | − | 0.788748i | ||||
\(477\) | −2.86099e8 | + | 2.40066e8i | −0.120699 | + | 0.101278i | ||||
\(478\) | −2.43174e9 | − | 8.85082e8i | −1.01840 | − | 0.370669i | ||||
\(479\) | −1.37641e9 | + | 5.00972e8i | −0.572234 | + | 0.208276i | −0.611897 | − | 0.790937i | \(-0.709593\pi\) |
0.0396639 | + | 0.999213i | \(0.487371\pi\) | |||||||
\(480\) | −2.40498e9 | −0.992584 | ||||||||
\(481\) | −7.38311e8 | − | 2.92917e9i | −0.302504 | − | 1.20015i | ||||
\(482\) | −3.26235e7 | −0.0132699 | ||||||||
\(483\) | −7.05948e8 | + | 2.56944e8i | −0.285074 | + | 0.103758i | ||||
\(484\) | 2.20120e9 | + | 8.01171e8i | 0.882471 | + | 0.321193i | ||||
\(485\) | 4.85270e9 | − | 4.07190e9i | 1.93147 | − | 1.62069i | ||||
\(486\) | 4.08897e8 | + | 2.31897e9i | 0.161580 | + | 0.916364i | ||||
\(487\) | −3.37516e9 | −1.32417 | −0.662084 | − | 0.749430i | \(-0.730328\pi\) | ||||
−0.662084 | + | 0.749430i | \(0.730328\pi\) | |||||||
\(488\) | −5.84377e8 | − | 3.31417e9i | −0.227627 | − | 1.29094i | ||||
\(489\) | 5.20727e8 | − | 9.01925e8i | 0.201386 | − | 0.348810i | ||||
\(490\) | 4.04394e9 | + | 3.39327e9i | 1.55281 | + | 1.30296i | ||||
\(491\) | 3.27884e8 | + | 5.67912e8i | 0.125007 | + | 0.216519i | 0.921736 | − | 0.387818i | \(-0.126771\pi\) |
−0.796728 | + | 0.604337i | \(0.793438\pi\) | |||||||
\(492\) | −1.16099e9 | + | 2.01089e9i | −0.439491 | + | 0.761220i | ||||
\(493\) | −3.29111e9 | + | 1.19787e9i | −1.23703 | + | 0.450241i | ||||
\(494\) | −3.22347e9 | + | 2.70481e9i | −1.20304 | + | 1.00947i | ||||
\(495\) | 3.50240e8 | + | 6.06633e8i | 0.129792 | + | 0.224806i | ||||
\(496\) | −1.32397e8 | + | 7.50860e8i | −0.0487183 | + | 0.276295i | ||||
\(497\) | −1.23233e8 | + | 6.98888e8i | −0.0450276 | + | 0.255364i | ||||
\(498\) | 6.12452e8 | + | 5.13908e8i | 0.222213 | + | 0.186459i | ||||
\(499\) | 2.46886e9 | + | 8.98591e8i | 0.889497 | + | 0.323750i | 0.746036 | − | 0.665906i | \(-0.231955\pi\) |
0.143461 | + | 0.989656i | \(0.454177\pi\) | |||||||
\(500\) | −1.64729e9 | − | 5.99565e8i | −0.589353 | − | 0.214507i | ||||
\(501\) | 3.34000e9 | + | 2.80259e9i | 1.18663 | + | 0.995699i | ||||
\(502\) | 2.61125e8 | − | 1.48092e9i | 0.0921269 | − | 0.522477i | ||||
\(503\) | −1.18277e8 | + | 6.70783e8i | −0.0414394 | + | 0.235014i | −0.998492 | − | 0.0549005i | \(-0.982516\pi\) |
0.957052 | + | 0.289915i | \(0.0936270\pi\) | |||||||
\(504\) | −1.46376e8 | − | 2.53531e8i | −0.0509288 | − | 0.0882113i | ||||
\(505\) | −3.63688e9 | + | 3.05171e9i | −1.25664 | + | 1.05444i | ||||
\(506\) | 3.05070e9 | − | 1.11036e9i | 1.04682 | − | 0.381012i | ||||
\(507\) | 8.85464e8 | − | 1.53367e9i | 0.301747 | − | 0.522641i | ||||
\(508\) | −2.93447e9 | − | 5.08265e9i | −0.993131 | − | 1.72015i | ||||
\(509\) | −2.98057e9 | − | 2.50100e9i | −1.00181 | − | 0.840622i | −0.0145794 | − | 0.999894i | \(-0.504641\pi\) |
−0.987235 | + | 0.159272i | \(0.949085\pi\) | |||||||
\(510\) | 6.12573e9 | − | 1.06101e10i | 2.04486 | − | 3.54179i | ||||
\(511\) | −1.13108e8 | − | 6.41466e8i | −0.0374990 | − | 0.212667i | ||||
\(512\) | −2.23462e9 | −0.735798 | ||||||||
\(513\) | 3.26986e8 | + | 1.85443e9i | 0.106935 | + | 0.606456i | ||||
\(514\) | 2.76697e9 | − | 2.32177e9i | 0.898740 | − | 0.754133i | ||||
\(515\) | −6.21631e9 | − | 2.26255e9i | −2.00543 | − | 0.729916i | ||||
\(516\) | −5.40640e9 | + | 1.96777e9i | −1.73235 | + | 0.630522i | ||||
\(517\) | 2.84550e9 | 0.905610 | ||||||||
\(518\) | 1.44223e9 | − | 1.04570e8i | 0.455911 | − | 0.0330561i | ||||
\(519\) | 2.84263e9 | 0.892555 | ||||||||
\(520\) | −6.33698e9 | + | 2.30647e9i | −1.97638 | + | 0.719344i | ||||
\(521\) | 4.83638e7 | + | 1.76030e7i | 0.0149826 | + | 0.00545323i | 0.349501 | − | 0.936936i | \(-0.386351\pi\) |
−0.334518 | + | 0.942389i | \(0.608573\pi\) | |||||||
\(522\) | −9.54408e8 | + | 8.00843e8i | −0.293689 | + | 0.246434i | ||||
\(523\) | −6.81056e8 | − | 3.86246e9i | −0.208174 | − | 1.18061i | −0.892366 | − | 0.451312i | \(-0.850956\pi\) |
0.684192 | − | 0.729302i | \(-0.260155\pi\) | |||||||
\(524\) | 3.84021e9 | 1.16599 | ||||||||
\(525\) | −1.31124e8 | − | 7.43644e8i | −0.0395482 | − | 0.224289i | ||||
\(526\) | −5.04219e8 | + | 8.73333e8i | −0.151067 | + | 0.261656i | ||||
\(527\) | 3.15671e9 | + | 2.64880e9i | 0.939502 | + | 0.788336i | ||||
\(528\) | 4.95340e8 | + | 8.57954e8i | 0.146448 | + | 0.253656i | ||||
\(529\) | 8.60622e7 | − | 1.49064e8i | 0.0252765 | − | 0.0437803i | ||||
\(530\) | −3.86989e9 | + | 1.40852e9i | −1.12910 | + | 0.410959i | ||||
\(531\) | 1.14173e9 | − | 9.58022e8i | 0.330926 | − | 0.277680i | ||||
\(532\) | −6.44238e8 | − | 1.11585e9i | −0.185505 | − | 0.321304i | ||||
\(533\) | 3.27864e8 | − | 1.85941e9i | 0.0937883 | − | 0.531900i | ||||
\(534\) | 8.37564e7 | − | 4.75006e8i | 0.0238026 | − | 0.134991i | ||||
\(535\) | 4.80040e9 | + | 4.02801e9i | 1.35531 | + | 1.13724i | ||||
\(536\) | −4.29800e9 | − | 1.56434e9i | −1.20556 | − | 0.438789i | ||||
\(537\) | −2.36142e9 | − | 8.59487e8i | −0.658057 | − | 0.239513i | ||||
\(538\) | 1.93833e9 | + | 1.62645e9i | 0.536648 | + | 0.450301i | ||||
\(539\) | −4.00627e8 | + | 2.27207e9i | −0.110199 | + | 0.624972i | ||||
\(540\) | −1.20002e9 | + | 6.80566e9i | −0.327952 | + | 1.85991i | ||||
\(541\) | 1.73246e9 | + | 3.00072e9i | 0.470407 | + | 0.814769i | 0.999427 | − | 0.0338404i | \(-0.0107738\pi\) |
−0.529020 | + | 0.848609i | \(0.677440\pi\) | |||||||
\(542\) | 7.80082e9 | − | 6.54567e9i | 2.10447 | − | 1.76586i | ||||
\(543\) | 5.71693e9 | − | 2.08079e9i | 1.53237 | − | 0.557736i | ||||
\(544\) | −2.05222e9 | + | 3.55455e9i | −0.546547 | + | 0.946648i | ||||
\(545\) | −3.51879e8 | − | 6.09472e8i | −0.0931120 | − | 0.161275i | ||||
\(546\) | 1.87035e9 | + | 1.56941e9i | 0.491755 | + | 0.412632i | ||||
\(547\) | −2.11368e9 | + | 3.66100e9i | −0.552183 | + | 0.956409i | 0.445933 | + | 0.895066i | \(0.352872\pi\) |
−0.998117 | + | 0.0613433i | \(0.980462\pi\) | |||||||
\(548\) | 1.17153e9 | + | 6.64409e9i | 0.304104 | + | 1.72466i | ||||
\(549\) | −1.13124e9 | −0.291778 | ||||||||
\(550\) | 5.66644e8 | + | 3.21360e9i | 0.145225 | + | 0.823611i | ||||
\(551\) | −1.83433e9 | + | 1.53918e9i | −0.467139 | + | 0.391976i | ||||
\(552\) | −5.30193e9 | − | 1.92975e9i | −1.34168 | − | 0.488330i | ||||
\(553\) | 1.21011e9 | − | 4.40442e8i | 0.304288 | − | 0.110752i | ||||
\(554\) | 5.03730e9 | 1.25868 | ||||||||
\(555\) | 4.87380e9 | + | 3.52195e9i | 1.21016 | + | 0.874497i | ||||
\(556\) | 1.06373e10 | 2.62464 | ||||||||
\(557\) | −5.85783e9 | + | 2.13208e9i | −1.43630 | + | 0.522769i | −0.938729 | − | 0.344657i | \(-0.887995\pi\) |
−0.497566 | + | 0.867426i | \(0.665773\pi\) | |||||||
\(558\) | 1.37749e9 | + | 5.01367e8i | 0.335637 | + | 0.122162i | ||||
\(559\) | 3.58379e9 | − | 3.00716e9i | 0.867764 | − | 0.728140i | ||||
\(560\) | −9.80071e7 | − | 5.55826e8i | −0.0235830 | − | 0.133746i | ||||
\(561\) | 5.35435e9 | 1.28037 | ||||||||
\(562\) | 1.45954e9 | + | 8.27745e9i | 0.346847 | + | 1.96707i | ||||
\(563\) | −3.72290e9 | + | 6.44825e9i | −0.879229 | + | 1.52287i | −0.0270401 | + | 0.999634i | \(0.508608\pi\) |
−0.852189 | + | 0.523235i | \(0.824725\pi\) | |||||||
\(564\) | −8.67522e9 | − | 7.27937e9i | −2.03612 | − | 1.70851i | ||||
\(565\) | −3.12166e9 | − | 5.40688e9i | −0.728143 | − | 1.26118i | ||||
\(566\) | −2.48652e9 | + | 4.30679e9i | −0.576415 | + | 0.998380i | ||||
\(567\) | 1.34841e9 | − | 4.90780e8i | 0.310656 | − | 0.113070i | ||||
\(568\) | −4.08293e9 | + | 3.42598e9i | −0.934872 | + | 0.784451i | ||||
\(569\) | 6.65468e8 | + | 1.15263e9i | 0.151438 | + | 0.262298i | 0.931756 | − | 0.363084i | \(-0.118276\pi\) |
−0.780318 | + | 0.625382i | \(0.784943\pi\) | |||||||
\(570\) | 1.45453e9 | − | 8.24907e9i | 0.328974 | − | 1.86571i | ||||
\(571\) | 1.71709e8 | − | 9.73812e8i | 0.0385982 | − | 0.218901i | −0.959408 | − | 0.282023i | \(-0.908995\pi\) |
0.998006 | + | 0.0631217i | \(0.0201056\pi\) | |||||||
\(572\) | −5.17015e9 | − | 4.33827e9i | −1.15509 | − | 0.969238i | ||||
\(573\) | −8.28153e9 | − | 3.01423e9i | −1.83895 | − | 0.669322i | ||||
\(574\) | 8.49304e8 | + | 3.09121e8i | 0.187444 | + | 0.0682241i | ||||
\(575\) | −2.48912e9 | − | 2.08862e9i | −0.546020 | − | 0.458166i | ||||
\(576\) | −3.39651e8 | + | 1.92625e9i | −0.0740549 | + | 0.419986i | ||||
\(577\) | −4.19948e8 | + | 2.38165e9i | −0.0910082 | + | 0.516133i | 0.904889 | + | 0.425647i | \(0.139953\pi\) |
−0.995898 | + | 0.0904865i | \(0.971158\pi\) | |||||||
\(578\) | −6.58752e9 | − | 1.14099e10i | −1.41897 | − | 2.45774i | ||||
\(579\) | −3.45687e9 | + | 2.90066e9i | −0.740130 | + | 0.621043i | ||||
\(580\) | −8.25788e9 | + | 3.00562e9i | −1.75740 | + | 0.639641i | ||||
\(581\) | 9.95316e7 | − | 1.72394e8i | 0.0210545 | − | 0.0364674i | ||||
\(582\) | −8.61259e9 | − | 1.49175e10i | −1.81094 | − | 3.13664i | ||||
\(583\) | −1.37875e9 | − | 1.15691e9i | −0.288168 | − | 0.241802i | ||||
\(584\) | 2.44599e9 | − | 4.23657e9i | 0.508170 | − | 0.880177i | ||||
\(585\) | 3.93641e8 | + | 2.23245e9i | 0.0812933 | + | 0.461037i | ||||
\(586\) | 1.10692e10 | 2.27235 | ||||||||
\(587\) | −1.06131e9 | − | 6.01898e9i | −0.216575 | − | 1.22826i | −0.878153 | − | 0.478380i | \(-0.841224\pi\) |
0.661578 | − | 0.749876i | \(-0.269887\pi\) | |||||||
\(588\) | 7.03384e9 | − | 5.90209e9i | 1.42683 | − | 1.19725i | ||||
\(589\) | 2.64748e9 | + | 9.63603e8i | 0.533862 | + | 0.194310i | ||||
\(590\) | 1.54434e10 | − | 5.62094e9i | 3.09572 | − | 1.12675i | ||||
\(591\) | −4.96510e9 | −0.989399 | ||||||||
\(592\) | 1.53899e9 | + | 1.11212e9i | 0.304867 | + | 0.220306i | ||||
\(593\) | −7.89190e9 | −1.55414 | −0.777070 | − | 0.629414i | \(-0.783295\pi\) | ||||
−0.777070 | + | 0.629414i | \(0.783295\pi\) | |||||||
\(594\) | −4.43681e9 | + | 1.61487e9i | −0.868596 | + | 0.316143i | ||||
\(595\) | −2.86647e9 | − | 1.04331e9i | −0.557876 | − | 0.203050i | ||||
\(596\) | −5.26950e9 | + | 4.42163e9i | −1.01955 | + | 0.855501i | ||||
\(597\) | −1.46244e9 | − | 8.29391e9i | −0.281299 | − | 1.59532i | ||||
\(598\) | 1.05063e10 | 2.00906 | ||||||||
\(599\) | −1.77909e9 | − | 1.00897e10i | −0.338223 | − | 1.91816i | −0.392748 | − | 0.919646i | \(-0.628476\pi\) |
0.0545251 | − | 0.998512i | \(-0.482636\pi\) | |||||||
\(600\) | 2.83560e9 | − | 4.91141e9i | 0.535940 | − | 0.928275i | ||||
\(601\) | −4.64332e9 | − | 3.89621e9i | −0.872505 | − | 0.732118i | 0.0921193 | − | 0.995748i | \(-0.470636\pi\) |
−0.964624 | + | 0.263630i | \(0.915080\pi\) | |||||||
\(602\) | 1.11973e9 | + | 1.93943e9i | 0.209182 | + | 0.362314i | ||||
\(603\) | −7.68749e8 | + | 1.33151e9i | −0.142782 | + | 0.247306i | ||||
\(604\) | −8.17558e9 | + | 2.97567e9i | −1.50970 | + | 0.549484i | ||||
\(605\) | 2.90454e9 | − | 2.43720e9i | 0.533253 | − | 0.447453i | ||||
\(606\) | 6.45476e9 | + | 1.11800e10i | 1.17822 | + | 2.04073i | ||||
\(607\) | 8.75233e7 | − | 4.96369e8i | 0.0158841 | − | 0.0900833i | −0.975835 | − | 0.218508i | \(-0.929881\pi\) |
0.991719 | + | 0.128425i | \(0.0409921\pi\) | |||||||
\(608\) | −4.87292e8 | + | 2.76357e9i | −0.0879280 | + | 0.498664i | ||||
\(609\) | 1.06433e9 | + | 8.93078e8i | 0.190948 | + | 0.160225i | ||||
\(610\) | −1.17217e10 | − | 4.26636e9i | −2.09092 | − | 0.761033i | ||||
\(611\) | 8.65324e9 | + | 3.14952e9i | 1.53474 | + | 0.558599i | ||||
\(612\) | −3.64469e9 | − | 3.05826e9i | −0.642733 | − | 0.539317i | ||||
\(613\) | −1.57329e9 | + | 8.92259e9i | −0.275866 | + | 1.56451i | 0.460332 | + | 0.887747i | \(0.347730\pi\) |
−0.736198 | + | 0.676766i | \(0.763381\pi\) | |||||||
\(614\) | −6.35233e8 | + | 3.60258e9i | −0.110750 | + | 0.628094i | ||||
\(615\) | 1.87922e9 | + | 3.25490e9i | 0.325773 | + | 0.564255i | ||||
\(616\) | 1.08074e9 | − | 9.06852e8i | 0.186290 | − | 0.156316i | ||||
\(617\) | −4.88668e9 | + | 1.77861e9i | −0.837560 | + | 0.304847i | −0.724958 | − | 0.688793i | \(-0.758141\pi\) |
−0.112602 | + | 0.993640i | \(0.535919\pi\) | |||||||
\(618\) | −8.99396e9 | + | 1.55780e10i | −1.53282 | + | 2.65492i | ||||
\(619\) | 5.22542e8 | + | 9.05069e8i | 0.0885531 | + | 0.153378i | 0.906900 | − | 0.421346i | \(-0.138442\pi\) |
−0.818347 | + | 0.574725i | \(0.805109\pi\) | |||||||
\(620\) | 7.92064e9 | + | 6.64621e9i | 1.33472 | + | 1.11996i | ||||
\(621\) | 2.35075e9 | − | 4.07162e9i | 0.393900 | − | 0.682255i | ||||
\(622\) | −4.02803e7 | − | 2.28441e8i | −0.00671160 | − | 0.0380634i | ||||
\(623\) | −1.20094e8 | −0.0198982 | ||||||||
\(624\) | 5.56722e8 | + | 3.15733e9i | 0.0917260 | + | 0.520204i | ||||
\(625\) | −5.59386e9 | + | 4.69381e9i | −0.916498 | + | 0.769033i | ||||
\(626\) | −7.13740e9 | − | 2.59780e9i | −1.16287 | − | 0.423249i | ||||
\(627\) | 3.44000e9 | − | 1.25206e9i | 0.557342 | − | 0.202856i | ||||
\(628\) | 2.05135e10 | 3.30508 | ||||||||
\(629\) | 9.36435e9 | − | 4.19810e9i | 1.50038 | − | 0.672629i | ||||
\(630\) | −1.08514e9 | −0.172899 | ||||||||
\(631\) | 7.10820e9 | − | 2.58717e9i | 1.12631 | − | 0.409942i | 0.289357 | − | 0.957221i | \(-0.406559\pi\) |
0.836950 | + | 0.547279i | \(0.184336\pi\) | |||||||
\(632\) | 9.08835e9 | + | 3.30789e9i | 1.43211 | + | 0.521244i | ||||
\(633\) | 3.31127e9 | − | 2.77849e9i | 0.518898 | − | 0.435407i | ||||
\(634\) | −4.49610e8 | − | 2.54987e9i | −0.0700686 | − | 0.397379i | ||||
\(635\) | −9.49969e9 | −1.47232 | ||||||||
\(636\) | 1.24386e9 | + | 7.05426e9i | 0.191721 | + | 1.08731i | ||||
\(637\) | −3.73314e9 | + | 6.46599e9i | −0.572251 | + | 0.991168i | ||||
\(638\) | −4.59941e9 | − | 3.85937e9i | −0.701181 | − | 0.588361i | ||||
\(639\) | 8.95821e8 | + | 1.55161e9i | 0.135821 | + | 0.235250i | ||||
\(640\) | −7.88336e9 | + | 1.36544e10i | −1.18872 | + | 2.05893i | ||||
\(641\) | 7.89841e9 | − | 2.87479e9i | 1.18450 | − | 0.431124i | 0.326714 | − | 0.945123i | \(-0.394059\pi\) |
0.857791 | + | 0.513999i | \(0.171836\pi\) | |||||||
\(642\) | 1.30530e10 | − | 1.09528e10i | 1.94688 | − | 1.63362i | ||||
\(643\) | −2.18494e9 | − | 3.78443e9i | −0.324117 | − | 0.561387i | 0.657216 | − | 0.753702i | \(-0.271734\pi\) |
−0.981333 | + | 0.192315i | \(0.938401\pi\) | |||||||
\(644\) | −5.58631e8 | + | 3.16815e9i | −0.0824184 | + | 0.467418i | ||||
\(645\) | −1.61712e9 | + | 9.17115e9i | −0.237292 | + | 1.34575i | ||||
\(646\) | −1.09509e10 | − | 9.18890e9i | −1.59822 | − | 1.34106i | ||||
\(647\) | −7.70431e9 | − | 2.80414e9i | −1.11833 | − | 0.407038i | −0.284286 | − | 0.958740i | \(-0.591756\pi\) |
−0.834041 | + | 0.551702i | \(0.813979\pi\) | |||||||
\(648\) | 1.01270e10 | + | 3.68594e9i | 1.46208 | + | 0.532152i | ||||
\(649\) | 5.50212e9 | + | 4.61683e9i | 0.790085 | + | 0.662960i | ||||
\(650\) | −1.83377e9 | + | 1.03998e10i | −0.261908 | + | 1.48535i | ||||
\(651\) | 2.83868e8 | − | 1.60989e9i | 0.0403258 | − | 0.228699i | ||||
\(652\) | −2.22986e9 | − | 3.86223e9i | −0.315073 | − | 0.545723i | ||||
\(653\) | −1.31353e9 | + | 1.10218e9i | −0.184605 | + | 0.154902i | −0.730407 | − | 0.683012i | \(-0.760670\pi\) |
0.545802 | + | 0.837914i | \(0.316225\pi\) | |||||||
\(654\) | −1.79822e9 | + | 6.54499e8i | −0.251374 | + | 0.0914928i | ||||
\(655\) | 3.10796e9 | − | 5.38315e9i | 0.432146 | − | 0.748500i | ||||
\(656\) | 5.93398e8 | + | 1.02780e9i | 0.0820697 | + | 0.142149i | ||||
\(657\) | −1.25971e9 | − | 1.05703e9i | −0.173298 | − | 0.145414i | ||||
\(658\) | −2.20402e9 | + | 3.81748e9i | −0.301596 | + | 0.522380i | ||||
\(659\) | −5.60451e8 | − | 3.17848e9i | −0.0762850 | − | 0.432634i | −0.998899 | − | 0.0469094i | \(-0.985063\pi\) |
0.922614 | − | 0.385724i | \(-0.126048\pi\) | |||||||
\(660\) | 1.34348e10 | 1.81898 | ||||||||
\(661\) | 2.07317e9 | + | 1.17575e10i | 0.279210 | + | 1.58348i | 0.725264 | + | 0.688471i | \(0.241718\pi\) |
−0.446055 | + | 0.895006i | \(0.647171\pi\) | |||||||
\(662\) | 1.51515e10 | − | 1.27136e10i | 2.02979 | − | 1.70320i | ||||
\(663\) | 1.62827e10 | + | 5.92643e9i | 2.16985 | + | 0.789762i | ||||
\(664\) | 1.40488e9 | − | 5.11334e8i | 0.186230 | − | 0.0677823i | ||||
\(665\) | −2.08558e9 | −0.275011 | ||||||||
\(666\) | 2.61953e9 | − | 2.54267e9i | 0.343608 | − | 0.333527i | ||||
\(667\) | 5.97862e9 | 0.780118 | ||||||||
\(668\) | 1.75447e10 | − | 6.38576e9i | 2.27735 | − | 0.828886i | ||||
\(669\) | −6.83484e9 | − | 2.48768e9i | −0.882545 | − | 0.321220i | ||||
\(670\) | −1.29873e10 | + | 1.08976e10i | −1.66823 | + | 1.39981i | ||||
\(671\) | −9.46662e8 | − | 5.36879e9i | −0.120967 | − | 0.686037i | ||||
\(672\) | 1.62824e9 | 0.206979 | ||||||||
\(673\) | 1.40856e9 | + | 7.98832e9i | 0.178124 | + | 1.01019i | 0.934476 | + | 0.356025i | \(0.115868\pi\) |
−0.756353 | + | 0.654164i | \(0.773021\pi\) | |||||||
\(674\) | −5.12562e9 | + | 8.87784e9i | −0.644818 | + | 1.11686i | ||||
\(675\) | 3.62008e9 | + | 3.03760e9i | 0.453059 | + | 0.380161i | ||||
\(676\) | −3.79174e9 | − | 6.56749e9i | −0.472091 | − | 0.817685i | ||||
\(677\) | −6.91164e9 | + | 1.19713e10i | −0.856093 | + | 1.48280i | 0.0195351 | + | 0.999809i | \(0.493781\pi\) |
−0.875628 | + | 0.482987i | \(0.839552\pi\) | |||||||
\(678\) | −1.59528e10 | + | 5.80634e9i | −1.96577 | + | 0.715481i | ||||
\(679\) | −3.28542e9 | + | 2.75679e9i | −0.402760 | + | 0.337956i | ||||
\(680\) | −1.14549e10 | − | 1.98405e10i | −1.39705 | − | 2.41976i | ||||
\(681\) | −4.23984e8 | + | 2.40453e9i | −0.0514440 | + | 0.291753i | ||||
\(682\) | −1.22671e9 | + | 6.95703e9i | −0.148080 | + | 0.839805i | ||||
\(683\) | −2.55976e9 | − | 2.14789e9i | −0.307416 | − | 0.257953i | 0.476007 | − | 0.879442i | \(-0.342084\pi\) |
−0.783423 | + | 0.621489i | \(0.786528\pi\) | |||||||
\(684\) | −3.05673e9 | − | 1.11256e9i | −0.365226 | − | 0.132931i | ||||
\(685\) | 1.02617e10 | + | 3.73496e9i | 1.21984 | + | 0.443985i | ||||
\(686\) | −5.69865e9 | − | 4.78174e9i | −0.673965 | − | 0.565524i | ||||
\(687\) | 2.83161e9 | − | 1.60588e10i | 0.333184 | − | 1.88958i | ||||
\(688\) | −5.10636e8 | + | 2.89596e9i | −0.0597795 | + | 0.339026i | ||||
\(689\) | −2.91230e9 | − | 5.04425e9i | −0.339210 | − | 0.587530i | ||||
\(690\) | −1.60209e10 | + | 1.34431e10i | −1.85658 | + | 1.55786i | ||||
\(691\) | 1.06742e10 | − | 3.88510e9i | 1.23073 | − | 0.447950i | 0.356884 | − | 0.934149i | \(-0.383839\pi\) |
0.873848 | + | 0.486199i | \(0.161617\pi\) | |||||||
\(692\) | 6.08638e9 | − | 1.05419e10i | 0.698212 | − | 1.20934i | ||||
\(693\) | −2.37122e8 | − | 4.10708e8i | −0.0270649 | − | 0.0468778i | ||||
\(694\) | −1.47903e10 | − | 1.24105e10i | −1.67965 | − | 1.40939i | ||||
\(695\) | 8.60896e9 | − | 1.49112e10i | 0.972756 | − | 1.68486i | ||||
\(696\) | 1.81198e9 | + | 1.02763e10i | 0.203714 | + | 1.15532i | ||||
\(697\) | 6.41431e9 | 0.717522 | ||||||||
\(698\) | 2.98025e9 | + | 1.69018e10i | 0.331710 | + | 1.88122i | ||||
\(699\) | 5.12614e9 | − | 4.30134e9i | 0.567701 | − | 0.476358i | ||||
\(700\) | −3.03856e9 | − | 1.10594e9i | −0.334830 | − | 0.121868i | ||||
\(701\) | −2.20174e9 | + | 8.01367e8i | −0.241409 | + | 0.0878655i | −0.459891 | − | 0.887975i | \(-0.652112\pi\) |
0.218483 | + | 0.975841i | \(0.429889\pi\) | |||||||
\(702\) | −1.52799e10 | −1.66701 | ||||||||
\(703\) | 5.03461e9 | − | 4.88689e9i | 0.546540 | − | 0.530505i | ||||
\(704\) | −9.42607e9 | −1.01818 | ||||||||
\(705\) | −1.72251e10 | + | 6.26943e9i | −1.85140 | + | 0.673855i | ||||
\(706\) | −6.15733e8 | − | 2.24109e8i | −0.0658531 | − | 0.0239686i | ||||
\(707\) | 2.46228e9 | − | 2.06609e9i | 0.262041 | − | 0.219878i | ||||
\(708\) | −4.96381e9 | − | 2.81512e10i | −0.525652 | − | 2.98112i | ||||
\(709\) | 5.71060e9 | 0.601755 | 0.300878 | − | 0.953663i | \(-0.402720\pi\) | ||||
0.300878 | + | 0.953663i | \(0.402720\pi\) | |||||||
\(710\) | 3.43061e9 | + | 1.94559e10i | 0.359722 | + | 2.04008i | ||||
\(711\) | 1.62556e9 | − | 2.81555e9i | 0.169613 | − | 0.293778i | ||||
\(712\) | −6.90934e8 | − | 5.79763e8i | −0.0717392 | − | 0.0601963i | ||||
\(713\) | −3.51718e9 | − | 6.09193e9i | −0.363397 | − | 0.629422i | ||||
\(714\) | −4.14730e9 | + | 7.18333e9i | −0.426404 | + | 0.738554i | ||||
\(715\) | −1.02656e10 | + | 3.73638e9i | −1.05030 | + | 0.382278i | ||||
\(716\) | −8.24346e9 | + | 6.91708e9i | −0.839293 | + | 0.704251i | ||||
\(717\) | 3.64283e9 | + | 6.30957e9i | 0.369081 | + | 0.639268i | ||||
\(718\) | 5.04340e8 | − | 2.86026e9i | 0.0508497 | − | 0.288383i | ||||
\(719\) | 2.88700e9 | − | 1.63730e10i | 0.289665 | − | 1.64277i | −0.398466 | − | 0.917183i | \(-0.630457\pi\) |
0.688130 | − | 0.725587i | \(-0.258432\pi\) | |||||||
\(720\) | −1.09153e9 | − | 9.15905e8i | −0.108987 | − | 0.0914506i | ||||
\(721\) | 4.20862e9 | + | 1.53181e9i | 0.418183 | + | 0.152206i | ||||
\(722\) | 6.64685e9 | + | 2.41926e9i | 0.657258 | + | 0.239222i | ||||
\(723\) | 7.03594e7 | + | 5.90386e7i | 0.00692370 | + | 0.00580967i | ||||
\(724\) | 4.52392e9 | − | 2.56564e10i | 0.443027 | − | 2.51253i | ||||
\(725\) | −1.04351e9 | + | 5.91806e9i | −0.101699 | + | 0.576761i | ||||
\(726\) | −5.15499e9 | − | 8.92870e9i | −0.499976 | − | 0.865985i | ||||
\(727\) | −1.34144e10 | + | 1.12560e10i | −1.29479 | + | 1.08646i | −0.303771 | + | 0.952745i | \(0.598246\pi\) |
−0.991020 | + | 0.133713i | \(0.957310\pi\) | |||||||
\(728\) | 4.29032e9 | − | 1.56155e9i | 0.412126 | − | 0.150002i | ||||
\(729\) | −2.98668e9 | + | 5.17308e9i | −0.285524 | + | 0.494542i | ||||
\(730\) | −9.06646e9 | − | 1.57036e10i | −0.862596 | − | 1.49406i | ||||
\(731\) | 1.21750e10 | + | 1.02160e10i | 1.15281 | + | 0.967323i | ||||
\(732\) | −1.08483e10 | + | 1.87899e10i | −1.02229 | + | 1.77066i | ||||
\(733\) | −2.70053e9 | − | 1.53155e10i | −0.253271 | − | 1.43637i | −0.800473 | − | 0.599369i | \(-0.795418\pi\) |
0.547202 | − | 0.837001i | \(-0.315693\pi\) | |||||||
\(734\) | 4.63041e9 | 0.432198 | ||||||||
\(735\) | −2.58082e9 | − | 1.46366e10i | −0.239747 | − | 1.35967i | ||||
\(736\) | 5.36724e9 | − | 4.50365e9i | 0.496225 | − | 0.416383i | ||||
\(737\) | −6.96256e9 | − | 2.53416e9i | −0.640667 | − | 0.233184i | ||||
\(738\) | 2.14417e9 | − | 7.80413e8i | 0.196364 | − | 0.0714706i | ||||
\(739\) | 3.44089e9 | 0.313629 | 0.156814 | − | 0.987628i | \(-0.449878\pi\) | ||||
0.156814 | + | 0.987628i | \(0.449878\pi\) | |||||||
\(740\) | 2.34965e10 | − | 1.05336e10i | 2.13153 | − | 0.955580i | ||||
\(741\) | 1.18470e10 | 1.06965 | ||||||||
\(742\) | 2.62003e9 | − | 9.53612e8i | 0.235446 | − | 0.0856955i | ||||
\(743\) | 1.29135e10 | + | 4.70014e9i | 1.15500 | + | 0.420387i | 0.847310 | − | 0.531098i | \(-0.178220\pi\) |
0.307694 | + | 0.951485i | \(0.400443\pi\) | |||||||
\(744\) | 9.40506e9 | − | 7.89178e9i | 0.837252 | − | 0.702538i | ||||
\(745\) | 1.93346e9 | + | 1.09652e10i | 0.171312 | + | 0.971560i | ||||
\(746\) | 1.21527e9 | 0.107173 | ||||||||
\(747\) | −8.72683e7 | − | 4.94923e8i | −0.00766010 | − | 0.0434426i | ||||
\(748\) | 1.14642e10 | − | 1.98566e10i | 1.00159 | − | 1.73480i | ||||
\(749\) | −3.25001e9 | − | 2.72708e9i | −0.282617 | − | 0.237144i | ||||
\(750\) | 3.85779e9 | + | 6.68189e9i | 0.333906 | + | 0.578343i | ||||
\(751\) | −1.94480e9 | + | 3.36850e9i | −0.167547 | + | 0.290199i | −0.937557 | − | 0.347832i | \(-0.886918\pi\) |
0.770010 | + | 0.638032i | \(0.220251\pi\) | |||||||
\(752\) | −5.43915e9 | + | 1.97969e9i | −0.466411 | + | 0.169760i | ||||
\(753\) | −3.24317e9 | + | 2.72135e9i | −0.276814 | + | 0.232274i | ||||
\(754\) | −9.71523e9 | − | 1.68273e10i | −0.825379 | − | 1.42960i | ||||
\(755\) | −2.44542e9 | + | 1.38687e10i | −0.206794 | + | 1.17279i | ||||
\(756\) | 8.12449e8 | − | 4.60763e9i | 0.0683864 | − | 0.387839i | ||||
\(757\) | 8.11871e9 | + | 6.81241e9i | 0.680223 | + | 0.570775i | 0.916072 | − | 0.401015i | \(-0.131342\pi\) |
−0.235848 | + | 0.971790i | \(0.575787\pi\) | |||||||
\(758\) | −3.69311e9 | − | 1.34418e9i | −0.308000 | − | 0.112103i | ||||
\(759\) | −8.58888e9 | − | 3.12610e9i | −0.713001 | − | 0.259511i | ||||
\(760\) | −1.19989e10 | − | 1.00683e10i | −0.991505 | − | 0.831971i | ||||
\(761\) | 2.05191e9 | − | 1.16370e10i | 0.168777 | − | 0.957181i | −0.776308 | − | 0.630354i | \(-0.782910\pi\) |
0.945084 | − | 0.326826i | \(-0.105979\pi\) | |||||||
\(762\) | −4.48553e9 | + | 2.54387e10i | −0.367258 | + | 2.08282i | ||||
\(763\) | 2.38232e8 | + | 4.12630e8i | 0.0194162 | + | 0.0336299i | ||||
\(764\) | −2.89099e10 | + | 2.42583e10i | −2.34542 | + | 1.96804i | ||||
\(765\) | −7.23673e9 | + | 2.63395e9i | −0.584423 | + | 0.212713i | ||||
\(766\) | 7.18685e9 | − | 1.24480e10i | 0.577748 | − | 1.00069i | ||||
\(767\) | 1.16220e10 | + | 2.01299e10i | 0.930031 | + | 1.61086i | ||||
\(768\) | 1.66535e10 | + | 1.39740e10i | 1.32660 | + | 1.11315i | ||||
\(769\) | −9.20943e9 | + | 1.59512e10i | −0.730282 | + | 1.26489i | 0.226481 | + | 0.974016i | \(0.427278\pi\) |
−0.956763 | + | 0.290870i | \(0.906055\pi\) | |||||||
\(770\) | −9.08077e8 | − | 5.14996e9i | −0.0716812 | − | 0.406524i | ||||
\(771\) | −1.01692e10 | −0.799094 | ||||||||
\(772\) | 3.35558e9 | + | 1.90304e10i | 0.262486 | + | 1.48863i | ||||
\(773\) | −1.15093e10 | + | 9.65748e9i | −0.896235 | + | 0.752031i | −0.969451 | − | 0.245286i | \(-0.921118\pi\) |
0.0732157 | + | 0.997316i | \(0.476674\pi\) | |||||||
\(774\) | 5.31280e9 | + | 1.93370e9i | 0.411842 | + | 0.149898i | ||||
\(775\) | 6.64412e9 | − | 2.41826e9i | 0.512721 | − | 0.186615i | ||||
\(776\) | −3.22106e10 | −2.47447 | ||||||||
\(777\) | −3.29970e9 | − | 2.38446e9i | −0.252349 | − | 0.182355i | ||||
\(778\) | −4.53587e9 | −0.345328 | ||||||||
\(779\) | 4.12099e9 | − | 1.49992e9i | 0.312335 | − | 0.113681i | ||||
\(780\) | 4.08557e10 | + | 1.48703e10i | 3.08263 | + | 1.12199i | ||||
\(781\) | −6.61414e9 | + | 5.54993e9i | −0.496815 | + | 0.416878i | ||||
\(782\) | 6.19790e9 | + | 3.51500e10i | 0.463469 | + | 2.62846i | ||||
\(783\) | −8.69505e9 | −0.647300 | ||||||||
\(784\) | −8.14943e8 | − | 4.62177e9i | −0.0603978 | − | 0.342533i | ||||
\(785\) | 1.66020e10 | − | 2.87555e10i | 1.22495 | − | 2.12167i | ||||
\(786\) | −1.29477e10 | − | 1.08644e10i | −0.951075 | − | 0.798047i | ||||
\(787\) | −3.36878e8 | − | 5.83489e8i | −0.0246355 | − | 0.0426699i | 0.853445 | − | 0.521183i | \(-0.174509\pi\) |
−0.878080 | + | 0.478513i | \(0.841176\pi\) | |||||||
\(788\) | −1.06308e10 | + | 1.84131e10i | −0.773970 | + | 1.34055i | ||||
\(789\) | 2.66792e9 | − | 9.71043e8i | 0.193376 | − | 0.0703832i | ||||
\(790\) | 2.74623e10 | − | 2.30436e10i | 1.98172 | − | 1.66286i | ||||
\(791\) | 2.11346e9 | + | 3.66062e9i | 0.151836 | + | 0.262988i | ||||
\(792\) | 6.18493e8 | − | 3.50765e9i | 0.0442381 | − | 0.250887i | ||||
\(793\) | 3.06358e9 | − | 1.73745e10i | 0.218159 | − | 1.23724i | ||||
\(794\) | −2.88668e10 | − | 2.42221e10i | −2.04657 | − | 1.71727i | ||||
\(795\) | 1.08952e10 | + | 3.96553e9i | 0.769043 | + | 0.279909i | ||||
\(796\) | −3.38892e10 | − | 1.23347e10i | −2.38158 | − | 0.866825i | ||||
\(797\) | 1.10846e10 | + | 9.30112e9i | 0.775564 | + | 0.650775i | 0.942127 | − | 0.335255i | \(-0.108823\pi\) |
−0.166563 | + | 0.986031i | \(0.553267\pi\) | |||||||
\(798\) | −9.84762e8 | + | 5.58486e9i | −0.0685995 | + | 0.389047i | ||||
\(799\) | −5.43237e9 | + | 3.08085e10i | −0.376769 | + | 2.13676i | ||||
\(800\) | 3.52123e9 | + | 6.09895e9i | 0.243153 | + | 0.421153i | ||||
\(801\) | −2.32258e8 | + | 1.94887e8i | −0.0159682 | + | 0.0133989i | ||||
\(802\) | 4.30389e10 | − | 1.56649e10i | 2.94612 | − | 1.07230i | ||||
\(803\) | 3.96238e9 | − | 6.86305e9i | 0.270055 | − | 0.467749i | ||||
\(804\) | 1.47442e10 | + | 2.55377e10i | 1.00052 | + | 1.73295i | ||||
\(805\) | 3.98895e9 | + | 3.34713e9i | 0.269509 | + | 0.226145i | ||||
\(806\) | −1.14308e10 | + | 1.97987e10i | −0.768961 | + | 1.33188i | ||||
\(807\) | −1.23703e9 | − | 7.01555e9i | −0.0828559 | − | 0.469899i | ||||
\(808\) | 2.41404e10 | 1.60992 | ||||||||
\(809\) | −9.63614e8 | − | 5.46493e9i | −0.0639857 | − | 0.362881i | −0.999942 | − | 0.0107650i | \(-0.996573\pi\) |
0.935956 | − | 0.352116i | \(-0.114538\pi\) | |||||||
\(810\) | 3.06009e10 | − | 2.56772e10i | 2.02319 | − | 1.69766i | ||||
\(811\) | 1.75240e10 | + | 6.37823e9i | 1.15362 | + | 0.419882i | 0.846813 | − | 0.531891i | \(-0.178519\pi\) |
0.306803 | + | 0.951773i | \(0.400741\pi\) | |||||||
\(812\) | 5.59082e9 | − | 2.03489e9i | 0.366463 | − | 0.133381i | ||||
\(813\) | −2.86697e10 | −1.87114 | ||||||||
\(814\) | 1.42594e10 | + | 1.03043e10i | 0.926651 | + | 0.669625i | ||||
\(815\) | −7.21868e9 | −0.467096 | ||||||||
\(816\) | −1.02348e10 | + | 3.72517e9i | −0.659424 | + | 0.240011i | ||||
\(817\) | 1.02110e10 | + | 3.71648e9i | 0.655072 | + | 0.238427i | ||||
\(818\) | 2.20984e9 | − | 1.85427e9i | 0.141164 | − | 0.118451i | ||||
\(819\) | −2.66506e8 | − | 1.51143e9i | −0.0169517 | − | 0.0961380i | ||||
\(820\) | 1.60944e10 | 1.01936 | ||||||||
\(821\) | −3.57403e9 | − | 2.02693e10i | −0.225401 | − | 1.27831i | −0.861916 | − | 0.507051i | \(-0.830736\pi\) |
0.636515 | − | 0.771264i | \(-0.280375\pi\) | |||||||
\(822\) | 1.48470e10 | − | 2.57157e10i | 0.932367 | − | 1.61491i | ||||
\(823\) | −1.07262e10 | − | 9.00031e9i | −0.670725 | − | 0.562805i | 0.242555 | − | 0.970138i | \(-0.422015\pi\) |
−0.913280 | + | 0.407332i | \(0.866459\pi\) | |||||||
\(824\) | 1.68184e10 | + | 2.91304e10i | 1.04723 | + | 1.81385i | ||||
\(825\) | 4.59354e9 | − | 7.95624e9i | 0.284812 | − | 0.493309i | ||||
\(826\) | −1.04556e10 | + | 3.80554e9i | −0.645536 | + | 0.234956i | ||||
\(827\) | −2.17217e10 | + | 1.82266e10i | −1.33544 | + | 1.12057i | −0.352665 | + | 0.935750i | \(0.614725\pi\) |
−0.982773 | + | 0.184816i | \(0.940831\pi\) | |||||||
\(828\) | 4.06088e9 | + | 7.03365e9i | 0.248607 | + | 0.430600i | ||||
\(829\) | −1.41675e9 | + | 8.03480e9i | −0.0863680 | + | 0.489817i | 0.910685 | + | 0.413101i | \(0.135555\pi\) |
−0.997053 | + | 0.0767158i | \(0.975557\pi\) | |||||||
\(830\) | 9.62291e8 | − | 5.45742e9i | 0.0584162 | − | 0.331294i | ||||
\(831\) | −1.08640e10 | − | 9.11596e9i | −0.656728 | − | 0.551060i | ||||
\(832\) | −2.86650e10 | − | 1.04332e10i | −1.72552 | − | 0.628037i | ||||
\(833\) | −2.38351e10 | − | 8.67526e9i | −1.42876 | − | 0.520026i | ||||
\(834\) | −3.58649e10 | − | 3.00942e10i | −2.14086 | − | 1.79639i | ||||
\(835\) | 5.24784e9 | − | 2.97620e10i | 0.311945 | − | 1.76913i | ||||
\(836\) | 2.72214e9 | − | 1.54380e10i | 0.161135 | − | 0.913839i | ||||
\(837\) | 5.11524e9 | + | 8.85985e9i | 0.301527 | + | 0.522261i | ||||
\(838\) | −1.04334e10 | + | 8.75463e9i | −0.612450 | + | 0.513906i | ||||
\(839\) | 5.59378e9 | − | 2.03597e9i | 0.326993 | − | 0.119016i | −0.173307 | − | 0.984868i | \(-0.555445\pi\) |
0.500300 | + | 0.865852i | \(0.333223\pi\) | |||||||
\(840\) | −4.54420e9 | + | 7.87079e9i | −0.264533 | + | 0.458185i | ||||
\(841\) | 3.09646e9 | + | 5.36322e9i | 0.179506 | + | 0.310913i | ||||
\(842\) | 2.46375e10 | + | 2.06733e10i | 1.42234 | + | 1.19349i | ||||
\(843\) | 1.18318e10 | − | 2.04933e10i | 0.680230 | − | 1.17819i | ||||
\(844\) | −3.21425e9 | − | 1.82289e10i | −0.184027 | − | 1.04367i | ||||
\(845\) | −1.22749e10 | −0.699875 | ||||||||
\(846\) | 1.93247e9 | + | 1.09596e10i | 0.109728 | + | 0.622296i | ||||
\(847\) | −1.96646e9 | + | 1.65005e9i | −0.111197 | + | 0.0933053i | ||||
\(848\) | 3.44037e9 | + | 1.25219e9i | 0.193740 | + | 0.0705156i | ||||
\(849\) | 1.31567e10 | − | 4.78863e9i | 0.737851 | − | 0.268556i | ||||
\(850\) | −3.58757e10 | −2.00371 | ||||||||
\(851\) | −1.74723e10 | + | 1.26684e9i | −0.971844 | + | 0.0704641i | ||||
\(852\) | 3.43628e10 | 1.90349 | ||||||||
\(853\) | −1.26691e9 | + | 4.61118e8i | −0.0698916 | + | 0.0254384i | −0.376729 | − | 0.926323i | \(-0.622951\pi\) |
0.306838 | + | 0.951762i | \(0.400729\pi\) | |||||||
\(854\) | 7.93595e9 | + | 2.88845e9i | 0.436010 | + | 0.158695i | ||||
\(855\) | −4.03344e9 | + | 3.38446e9i | −0.220696 | + | 0.185186i | ||||
\(856\) | −5.53302e9 | − | 3.13793e10i | −0.301512 | − | 1.70996i | ||||
\(857\) | 5.36646e9 | 0.291243 | 0.145621 | − | 0.989340i | \(-0.453482\pi\) | ||||
0.145621 | + | 0.989340i | \(0.453482\pi\) | |||||||
\(858\) | 5.15826e9 | + | 2.92539e10i | 0.278803 | + | 1.58117i | ||||
\(859\) | 2.39035e9 | − | 4.14021e9i | 0.128672 | − | 0.222867i | −0.794490 | − | 0.607277i | \(-0.792262\pi\) |
0.923162 | + | 0.384410i | \(0.125595\pi\) | |||||||
\(860\) | 3.05488e10 | + | 2.56335e10i | 1.63776 | + | 1.37424i | ||||
\(861\) | −1.27229e9 | − | 2.20366e9i | −0.0679319 | − | 0.117661i | ||||
\(862\) | −1.51759e9 | + | 2.62854e9i | −0.0807008 | + | 0.139778i | ||||
\(863\) | −1.14672e10 | + | 4.17373e9i | −0.607325 | + | 0.221048i | −0.627332 | − | 0.778752i | \(-0.715853\pi\) |
0.0200075 | + | 0.999800i | \(0.493631\pi\) | |||||||
\(864\) | −7.80590e9 | + | 6.54992e9i | −0.411741 | + | 0.345492i | ||||
\(865\) | −9.85164e9 | − | 1.70635e10i | −0.517550 | − | 0.896423i | ||||
\(866\) | −3.92515e9 | + | 2.22607e10i | −0.205373 | + | 1.16473i | ||||
\(867\) | −6.44109e9 | + | 3.65292e10i | −0.335655 | + | 1.90359i | ||||
\(868\) | −5.36251e9 | − | 4.49968e9i | −0.278323 | − | 0.233541i | ||||
\(869\) | 1.47227e10 | + | 5.35862e9i | 0.761058 | + | 0.277002i | ||||
\(870\) | 3.63457e10 | + | 1.32287e10i | 1.87127 | + | 0.681085i | ||||
\(871\) | −1.83684e10 | − | 1.54129e10i | −0.941907 | − | 0.790354i | ||||
\(872\) | −6.21387e8 | + | 3.52406e9i | −0.0317362 | + | 0.179985i | ||||
\(873\) | −1.88019e9 | + | 1.06631e10i | −0.0956429 | + | 0.542418i | ||||
\(874\) | 1.22014e10 | + | 2.11334e10i | 0.618187 | + | 1.07073i | ||||
\(875\) | 1.47162e9 | − | 1.23484e9i | 0.0742622 | − | 0.0623134i | ||||
\(876\) | −2.96374e10 | + | 1.07871e10i | −1.48962 | + | 0.542178i | ||||
\(877\) | 5.65453e9 | − | 9.79393e9i | 0.283072 | − | 0.490296i | −0.689067 | − | 0.724697i | \(-0.741980\pi\) |
0.972140 | + | 0.234401i | \(0.0753130\pi\) | |||||||
\(878\) | −6.56912e9 | − | 1.13780e10i | −0.327549 | − | 0.567332i | ||||
\(879\) | −2.38730e10 | − | 2.00319e10i | −1.18562 | − | 0.994856i | ||||
\(880\) | 3.43338e9 | − | 5.94678e9i | 0.169837 | − | 0.294166i | ||||
\(881\) | 3.52805e9 | + | 2.00086e10i | 0.173828 | + | 0.985827i | 0.939488 | + | 0.342582i | \(0.111301\pi\) |
−0.765660 | + | 0.643245i | \(0.777588\pi\) | |||||||
\(882\) | −9.02305e9 | −0.442806 | ||||||||
\(883\) | 2.35434e9 | + | 1.33521e10i | 0.115082 | + | 0.652660i | 0.986710 | + | 0.162493i | \(0.0519534\pi\) |
−0.871628 | + | 0.490168i | \(0.836936\pi\) | |||||||
\(884\) | 5.68413e10 | − | 4.76955e10i | 2.76746 | − | 2.32217i | ||||
\(885\) | −4.34791e10 | − | 1.58251e10i | −2.10853 | − | 0.767441i | ||||
\(886\) | −1.49879e10 | + | 5.45515e9i | −0.723973 | + | 0.263505i | ||||
\(887\) | 1.58114e9 | 0.0760744 | 0.0380372 | − | 0.999276i | \(-0.487889\pi\) | ||||
0.0380372 | + | 0.999276i | \(0.487889\pi\) | |||||||
\(888\) | −7.47295e9 | − | 2.96481e10i | −0.358135 | − | 1.42086i | ||||
\(889\) | 6.43156e9 | 0.307016 | ||||||||
\(890\) | −3.14161e9 | + | 1.14345e9i | −0.149378 | + | 0.0543692i | ||||
\(891\) | 1.64053e10 | + | 5.97105e9i | 0.776985 | + | 0.282799i | ||||
\(892\) | −2.38597e10 | + | 2.00206e10i | −1.12561 | + | 0.944498i | ||||
\(893\) | 3.71411e9 | + | 2.10638e10i | 0.174532 | + | 0.989819i | ||||
\(894\) | 3.02761e10 | 1.41716 | ||||||||
\(895\) | 3.02465e9 | + | 1.71537e10i | 0.141025 | + | 0.799790i | ||||
\(896\) | 5.33726e9 | − | 9.24441e9i | 0.247879 | − | 0.429340i | ||||
\(897\) | −2.26589e10 | − | 1.90131e10i | −1.04825 | − | 0.879588i | ||||
\(898\) | −3.23496e9 | − | 5.60311e9i | −0.149074 | − | 0.258203i | ||||
\(899\) | −6.50474e9 | + | 1.12665e10i | −0.298587 | + | 0.517168i | ||||
\(900\) | −7.67119e9 | + | 2.79208e9i | −0.350763 | + | 0.127667i | ||||
\(901\) | 1.51582e10 | − | 1.27192e10i | 0.690414 | − | 0.579326i | ||||
\(902\) | 5.49808e9 | + | 9.52296e9i | 0.249453 | + | 0.432065i | ||||
\(903\) | 1.09484e9 | − | 6.20914e9i | 0.0494815 | − | 0.280623i | ||||
\(904\) | −5.51259e9 | + | 3.12634e10i | −0.248179 | + | 1.40750i | ||||
\(905\) | −3.23034e10 | − | 2.71058e10i | −1.44870 | − | 1.21560i | ||||
\(906\) | 3.59835e10 | + | 1.30969e10i | 1.60751 | + | 0.585087i | ||||
\(907\) | 2.46115e10 | + | 8.95785e9i | 1.09525 | + | 0.398638i | 0.825562 | − | 0.564311i | \(-0.190858\pi\) |
0.269685 | + | 0.962949i | \(0.413080\pi\) | |||||||
\(908\) | 8.00942e9 | + | 6.72070e9i | 0.355059 | + | 0.297930i | ||||
\(909\) | 1.40912e9 | − | 7.99152e9i | 0.0622264 | − | 0.352903i | ||||
\(910\) | 2.93871e9 | − | 1.66663e10i | 0.129274 | − | 0.733152i | ||||
\(911\) | −2.33211e9 | − | 4.03933e9i | −0.102196 | − | 0.177009i | 0.810393 | − | 0.585887i | \(-0.199254\pi\) |
−0.912589 | + | 0.408878i | \(0.865920\pi\) | |||||||
\(912\) | −5.70445e9 | + | 4.78660e9i | −0.249019 | + | 0.208951i | ||||
\(913\) | 2.27583e9 | − | 8.28336e8i | 0.0989676 | − | 0.0360213i | ||||
\(914\) | −9.00112e9 | + | 1.55904e10i | −0.389929 | + | 0.675376i | ||||
\(915\) | 1.75595e10 | + | 3.04140e10i | 0.757774 | + | 1.31250i | ||||
\(916\) | −5.34915e10 | − | 4.48847e10i | −2.29959 | − | 1.92959i | ||||
\(917\) | −2.10418e9 | + | 3.64454e9i | −0.0901135 | + | 0.156081i | ||||
\(918\) | −9.01396e9 | − | 5.11207e10i | −0.384562 | − | 2.18096i | ||||
\(919\) | −9.10740e9 | −0.387071 | −0.193535 | − | 0.981093i | \(-0.561995\pi\) | ||||
−0.193535 | + | 0.981093i | \(0.561995\pi\) | |||||||
\(920\) | 6.79105e9 | + | 3.85139e10i | 0.287527 | + | 1.63065i | ||||
\(921\) | 7.88958e9 | − | 6.62014e9i | 0.332771 | − | 0.279228i | ||||
\(922\) | −1.06274e10 | − | 3.86806e9i | −0.446549 | − | 0.162530i | ||||
\(923\) | −2.62567e10 | + | 9.55666e9i | −1.09909 | + | 0.400037i | ||||
\(924\) | −9.09578e9 | −0.379304 | ||||||||
\(925\) | 1.79562e9 | − | 1.75164e10i | 0.0745967 | − | 0.727695i | ||||
\(926\) | 3.53864e9 | 0.146453 | ||||||||
\(927\) | 1.06251e10 | − | 3.86724e9i | 0.438082 | − | 0.159449i | ||||
\(928\) | −1.21764e10 | − | 4.43184e9i | −0.500150 | − | 0.182040i | ||||
\(929\) | 2.08962e10 | − | 1.75340e10i | 0.855093 | − | 0.717508i | −0.105812 | − | 0.994386i | \(-0.533744\pi\) |
0.960905 | + | 0.276878i | \(0.0892998\pi\) | |||||||
\(930\) | −7.90244e9 | − | 4.48169e10i | −0.322159 | − | 1.82706i | ||||
\(931\) | −1.73419e10 | −0.704323 | ||||||||
\(932\) | −4.97593e9 | − | 2.82199e10i | −0.201335 | − | 1.14183i | ||||
\(933\) | −3.26535e8 | + | 5.65575e8i | −0.0131627 | + | 0.0227984i | ||||
\(934\) | 4.49240e10 | + | 3.76957e10i | 1.80411 | + | 1.51383i | ||||
\(935\) | −1.85565e10 | − | 3.21407e10i | −0.742428 | − | 1.28592i | ||||
\(936\) | 5.76327e9 | − | 9.98228e9i | 0.229723 | − | 0.397891i | ||||
\(937\) | 4.50301e10 | − | 1.63896e10i | 1.78819 | − | 0.650849i | 0.788852 | − | 0.614583i | \(-0.210676\pi\) |
0.999342 | − | 0.0362662i | \(-0.0115464\pi\) | |||||||
\(938\) | 8.79276e9 | − | 7.37800e9i | 0.347869 | − | 0.291896i | ||||
\(939\) | 1.06921e10 | + | 1.85192e10i | 0.421437 | + | 0.729949i | ||||
\(940\) | −1.36306e10 | + | 7.73029e10i | −0.535263 | + | 3.03563i | ||||
\(941\) | −1.36970e9 | + | 7.76798e9i | −0.0535875 | + | 0.303910i | −0.999808 | − | 0.0196137i | \(-0.993756\pi\) |
0.946220 | + | 0.323523i | \(0.104867\pi\) | |||||||
\(942\) | −6.91638e10 | − | 5.80353e10i | −2.69588 | − | 2.26211i | ||||
\(943\) | −1.02891e10 | − | 3.74494e9i | −0.399566 | − | 0.145430i | ||||
\(944\) | −1.37293e10 | − | 4.99707e9i | −0.531187 | − | 0.193336i | ||||
\(945\) | −5.80136e9 | − | 4.86792e9i | −0.223624 | − | 0.187643i | ||||
\(946\) | −4.73126e9 | + | 2.68323e10i | −0.181701 | + | 1.03048i | ||||
\(947\) | −2.42402e8 | + | 1.37473e9i | −0.00927493 | + | 0.0526007i | −0.989094 | − | 0.147286i | \(-0.952946\pi\) |
0.979819 | + | 0.199887i | \(0.0640574\pi\) | |||||||
\(948\) | −3.11774e10 | − | 5.40008e10i | −1.18853 | − | 2.05860i | ||||
\(949\) | 1.96460e10 | − | 1.64850e10i | 0.746179 | − | 0.626119i | ||||
\(950\) | −2.30490e10 | + | 8.38915e9i | −0.872207 | + | 0.317457i | ||||
\(951\) | −3.64479e9 | + | 6.31297e9i | −0.137417 | + | 0.238014i | ||||
\(952\) | 7.75533e9 | + | 1.34326e10i | 0.291320 | + | 0.504582i | ||||
\(953\) | 2.19443e10 | + | 1.84135e10i | 0.821291 | + | 0.689145i | 0.953274 | − | 0.302107i | \(-0.0976901\pi\) |
−0.131983 | + | 0.991252i | \(0.542135\pi\) | |||||||
\(954\) | 3.51953e9 | − | 6.09601e9i | 0.131240 | − | 0.227314i | ||||
\(955\) | 1.06075e10 | + | 6.01581e10i | 0.394095 | + | 2.23502i | ||||
\(956\) | 3.11988e10 | 1.15487 | ||||||||
\(957\) | 2.93532e9 | + | 1.66470e10i | 0.108259 | + | 0.613968i | ||||
\(958\) | 2.11479e10 | − | 1.77452e10i | 0.777121 | − | 0.652082i | ||||
\(959\) | −6.94748e9 | − | 2.52867e9i | −0.254368 | − | 0.0925823i | ||||
\(960\) | 5.70604e10 | − | 2.07683e10i | 2.08154 | − | 0.757620i | ||||
\(961\) | −1.22058e10 | −0.443645 | ||||||||
\(962\) | 3.19581e10 | + | 4.71185e10i | 1.15736 | + | 1.70639i | ||||
\(963\) | −1.07109e10 | −0.386486 | ||||||||
\(964\) | 3.69592e8 | − | 1.34520e8i | 0.0132878 | − | 0.00483636i | ||||
\(965\) | 2.93922e10 | + | 1.06979e10i | 1.05290 | + | 0.383224i | ||||
\(966\) | 1.08466e10 | − | 9.10136e9i | 0.387144 | − | 0.324853i | ||||
\(967\) | 7.33342e8 | + | 4.15899e9i | 0.0260804 | + | 0.147909i | 0.995067 | − | 0.0992032i | \(-0.0316294\pi\) |
−0.968987 | + | 0.247112i | \(0.920518\pi\) | |||||||
\(968\) | −1.92793e10 | −0.683170 | ||||||||
\(969\) | 6.98882e9 | + | 3.96355e10i | 0.246757 | + | 1.39943i | ||||
\(970\) | −5.96969e10 | + | 1.03398e11i | −2.10015 | + | 3.63757i | ||||
\(971\) | −9.82842e9 | − | 8.24703e9i | −0.344522 | − | 0.289088i | 0.454064 | − | 0.890969i | \(-0.349974\pi\) |
−0.798586 | + | 0.601881i | \(0.794418\pi\) | |||||||
\(972\) | −1.41945e10 | − | 2.45855e10i | −0.495778 | − | 0.858712i | ||||
\(973\) | −5.82852e9 | + | 1.00953e10i | −0.202844 | + | 0.351337i | ||||
\(974\) | 5.97768e10 | − | 2.17570e10i | 2.07289 | − | 0.754470i | ||||
\(975\) | 2.27754e10 | − | 1.91108e10i | 0.786955 | − | 0.660334i | ||||
\(976\) | 5.54475e9 | + | 9.60379e9i | 0.190901 | + | 0.330650i | ||||
\(977\) | 7.35379e9 | − | 4.17054e10i | 0.252279 | − | 1.43074i | −0.550684 | − | 0.834714i | \(-0.685633\pi\) |
0.802963 | − | 0.596029i | \(-0.203256\pi\) | |||||||
\(978\) | −3.40849e9 | + | 1.93305e10i | −0.116514 | + | 0.660781i | ||||
\(979\) | −1.11928e9 | − | 9.39187e8i | −0.0381241 | − | 0.0319899i | ||||
\(980\) | −5.98056e10 | − | 2.17675e10i | −2.02979 | − | 0.738782i | ||||
\(981\) | 1.13035e9 | + | 4.11412e8i | 0.0382270 | + | 0.0139135i | ||||
\(982\) | −9.46797e9 | − | 7.94457e9i | −0.319056 | − | 0.267720i | ||||
\(983\) | 3.29049e9 | − | 1.86613e10i | 0.110490 | − | 0.626621i | −0.878395 | − | 0.477936i | \(-0.841385\pi\) |
0.988885 | − | 0.148684i | \(-0.0475039\pi\) | |||||||
\(984\) | 3.31854e9 | − | 1.88204e10i | 0.111036 | − | 0.629716i | ||||
\(985\) | 1.72074e10 | + | 2.98041e10i | 0.573705 | + | 0.993687i | ||||
\(986\) | 5.05665e10 | − | 4.24304e10i | 1.67994 | − | 1.40964i | ||||
\(987\) | 1.16619e10 | − | 4.24459e9i | 0.386064 | − | 0.140516i | ||||
\(988\) | 2.53656e10 | − | 4.39345e10i | 0.836750 | − | 1.44929i | ||||
\(989\) | −1.35653e10 | − | 2.34957e10i | −0.445904 | − | 0.772329i | ||||
\(990\) | −1.01135e10 | − | 8.48624e9i | −0.331267 | − | 0.277966i | ||||
\(991\) | 6.43428e9 | − | 1.11445e10i | 0.210011 | − | 0.363750i | −0.741707 | − | 0.670724i | \(-0.765983\pi\) |
0.951718 | + | 0.306975i | \(0.0993167\pi\) | |||||||
\(992\) | 2.64744e9 | + | 1.50144e10i | 0.0861065 | + | 0.488334i | ||||
\(993\) | −5.56850e10 | −1.80474 | ||||||||
\(994\) | −2.32262e9 | − | 1.31722e10i | −0.0750112 | − | 0.425409i | ||||
\(995\) | −4.47177e10 | + | 3.75226e10i | −1.43913 | + | 1.20757i | ||||
\(996\) | −9.05752e9 | − | 3.29667e9i | −0.290470 | − | 0.105722i | ||||
\(997\) | 4.83027e9 | − | 1.75807e9i | 0.154361 | − | 0.0561829i | −0.263684 | − | 0.964609i | \(-0.584938\pi\) |
0.418045 | + | 0.908426i | \(0.362715\pi\) | |||||||
\(998\) | −4.95179e10 | −1.57691 | ||||||||
\(999\) | 2.54110e10 | − | 1.84244e9i | 0.806385 | − | 0.0584674i |
(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 | 37.8.f.a.7.3 | ✓ | 132 | |
37.16 | even | 9 | inner | 37.8.f.a.16.3 | yes | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
37.8.f.a.7.3 | ✓ | 132 | 1.1 | even | 1 | trivial | |
37.8.f.a.16.3 | yes | 132 | 37.16 | even | 9 | inner |