Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,7,Mod(2,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([9]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.2");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.f (of order \(14\), 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: | \(9.89232559565\) |
Analytic rank: | \(0\) |
Dimension: | \(126\) |
Relative dimension: | \(21\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 2.13 | ||
Character | \(\chi\) | \(=\) | 43.2 |
Dual form | 43.7.f.a.22.13 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{9}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.11483 | + | 2.31496i | 0.139353 | + | 0.289370i | 0.958952 | − | 0.283567i | \(-0.0915180\pi\) |
−0.819599 | + | 0.572938i | \(0.805804\pi\) | |||||||
\(3\) | 18.6979 | − | 38.8265i | 0.692514 | − | 1.43802i | −0.196670 | − | 0.980470i | \(-0.563013\pi\) |
0.889184 | − | 0.457550i | \(-0.151273\pi\) | |||||||
\(4\) | 35.7871 | − | 44.8756i | 0.559174 | − | 0.701182i | ||||
\(5\) | 137.550 | + | 31.3949i | 1.10040 | + | 0.251159i | 0.733900 | − | 0.679258i | \(-0.237698\pi\) |
0.366502 | + | 0.930417i | \(0.380555\pi\) | |||||||
\(6\) | 110.727 | 0.512624 | ||||||||
\(7\) | 167.161i | 0.487350i | 0.969857 | + | 0.243675i | \(0.0783530\pi\) | ||||
−0.969857 | + | 0.243675i | \(0.921647\pi\) | |||||||
\(8\) | 304.102 | + | 69.4092i | 0.593948 | + | 0.135565i | ||||
\(9\) | −703.365 | − | 881.992i | −0.964836 | − | 1.20987i | ||||
\(10\) | 80.6666 | + | 353.424i | 0.0806666 | + | 0.353424i | ||||
\(11\) | −449.994 | − | 564.275i | −0.338087 | − | 0.423948i | 0.583504 | − | 0.812111i | \(-0.301681\pi\) |
−0.921591 | + | 0.388162i | \(0.873110\pi\) | |||||||
\(12\) | −1073.22 | − | 2228.57i | −0.621078 | − | 1.28968i | ||||
\(13\) | −269.644 | + | 1181.39i | −0.122733 | + | 0.537728i | 0.875755 | + | 0.482756i | \(0.160364\pi\) |
−0.998488 | + | 0.0549722i | \(0.982493\pi\) | |||||||
\(14\) | −386.972 | + | 186.356i | −0.141025 | + | 0.0679139i | ||||
\(15\) | 3790.85 | − | 4753.58i | 1.12322 | − | 1.40847i | ||||
\(16\) | −639.085 | − | 2800.01i | −0.156027 | − | 0.683597i | ||||
\(17\) | 1343.57 | + | 5886.55i | 0.273472 | + | 1.19816i | 0.905884 | + | 0.423526i | \(0.139208\pi\) |
−0.632412 | + | 0.774632i | \(0.717935\pi\) | |||||||
\(18\) | 1257.65 | − | 2611.53i | 0.215646 | − | 0.447794i | ||||
\(19\) | −1791.70 | − | 1428.83i | −0.261219 | − | 0.208315i | 0.484119 | − | 0.875002i | \(-0.339140\pi\) |
−0.745338 | + | 0.666687i | \(0.767712\pi\) | |||||||
\(20\) | 6331.40 | − | 5049.12i | 0.791424 | − | 0.631140i | ||||
\(21\) | 6490.28 | + | 3125.56i | 0.700819 | + | 0.337497i | ||||
\(22\) | 804.610 | − | 1670.79i | 0.0755644 | − | 0.156911i | ||||
\(23\) | 1018.14 | + | 1276.70i | 0.0836801 | + | 0.104931i | 0.821909 | − | 0.569619i | \(-0.192909\pi\) |
−0.738229 | + | 0.674550i | \(0.764338\pi\) | |||||||
\(24\) | 8380.97 | − | 10509.4i | 0.606262 | − | 0.760229i | ||||
\(25\) | 3856.78 | + | 1857.33i | 0.246834 | + | 0.118869i | ||||
\(26\) | −3035.48 | + | 692.828i | −0.172706 | + | 0.0394190i | ||||
\(27\) | −16768.1 | + | 3827.21i | −0.851909 | + | 0.194443i | ||||
\(28\) | 7501.46 | + | 5982.22i | 0.341721 | + | 0.272513i | ||||
\(29\) | −12111.5 | − | 25149.8i | −0.496598 | − | 1.03120i | −0.987152 | − | 0.159785i | \(-0.948920\pi\) |
0.490554 | − | 0.871411i | \(-0.336794\pi\) | |||||||
\(30\) | 15230.5 | + | 3476.26i | 0.564093 | + | 0.128750i | ||||
\(31\) | −35994.9 | + | 17334.3i | −1.20825 | + | 0.581862i | −0.926016 | − | 0.377484i | \(-0.876789\pi\) |
−0.282233 | + | 0.959346i | \(0.591075\pi\) | |||||||
\(32\) | 21377.2 | − | 17047.7i | 0.652379 | − | 0.520255i | ||||
\(33\) | −30322.8 | + | 6920.98i | −0.843776 | + | 0.192586i | ||||
\(34\) | −12129.3 | + | 9672.79i | −0.308602 | + | 0.246102i | ||||
\(35\) | −5248.01 | + | 22993.0i | −0.122403 | + | 0.536281i | ||||
\(36\) | −64751.4 | −1.38785 | ||||||||
\(37\) | 57675.0i | 1.13863i | 0.822119 | + | 0.569315i | \(0.192792\pi\) | ||||
−0.822119 | + | 0.569315i | \(0.807208\pi\) | |||||||
\(38\) | 1310.26 | − | 5740.62i | 0.0238785 | − | 0.104618i | ||||
\(39\) | 40827.5 | + | 32558.8i | 0.688269 | + | 0.548877i | ||||
\(40\) | 39650.1 | + | 19094.5i | 0.619533 | + | 0.298352i | ||||
\(41\) | 38489.8 | − | 18535.7i | 0.558463 | − | 0.268941i | −0.133289 | − | 0.991077i | \(-0.542554\pi\) |
0.691751 | + | 0.722136i | \(0.256839\pi\) | |||||||
\(42\) | 18509.2i | 0.249828i | ||||||||
\(43\) | 64855.7 | + | 45990.2i | 0.815723 | + | 0.578442i | ||||
\(44\) | −41426.2 | −0.486315 | ||||||||
\(45\) | −69058.0 | − | 143400.i | −0.757838 | − | 1.57367i | ||||
\(46\) | −1820.47 | + | 3780.25i | −0.0187030 | + | 0.0388371i | ||||
\(47\) | −71242.4 | + | 89335.2i | −0.686191 | + | 0.860456i | −0.995908 | − | 0.0903725i | \(-0.971194\pi\) |
0.309717 | + | 0.950829i | \(0.399766\pi\) | |||||||
\(48\) | −120664. | − | 27540.9i | −1.09108 | − | 0.249031i | ||||
\(49\) | 89706.2 | 0.762490 | ||||||||
\(50\) | 10998.9i | 0.0879911i | ||||||||
\(51\) | 253676. | + | 57899.9i | 1.91236 | + | 0.436483i | ||||
\(52\) | 43365.8 | + | 54379.0i | 0.308416 | + | 0.386742i | ||||
\(53\) | 43839.1 | + | 192072.i | 0.294465 | + | 1.29014i | 0.878240 | + | 0.478221i | \(0.158718\pi\) |
−0.583774 | + | 0.811916i | \(0.698425\pi\) | |||||||
\(54\) | −27553.4 | − | 34550.9i | −0.174982 | − | 0.219421i | ||||
\(55\) | −44181.4 | − | 91743.7i | −0.265553 | − | 0.551427i | ||||
\(56\) | −11602.5 | + | 50833.9i | −0.0660675 | + | 0.289461i | ||||
\(57\) | −88977.6 | + | 42849.4i | −0.480459 | + | 0.231377i | ||||
\(58\) | 44718.7 | − | 56075.5i | 0.229195 | − | 0.287401i | ||||
\(59\) | −87202.5 | − | 382059.i | −0.424593 | − | 1.86026i | −0.504424 | − | 0.863456i | \(-0.668295\pi\) |
0.0798304 | − | 0.996808i | \(-0.474562\pi\) | |||||||
\(60\) | −77656.2 | − | 340234.i | −0.359519 | − | 1.57516i | ||||
\(61\) | −131089. | + | 272210.i | −0.577535 | + | 1.19926i | 0.383681 | + | 0.923466i | \(0.374656\pi\) |
−0.961216 | + | 0.275797i | \(0.911058\pi\) | |||||||
\(62\) | −80256.3 | − | 64002.3i | −0.336747 | − | 0.268547i | ||||
\(63\) | 147435. | − | 117575.i | 0.589628 | − | 0.470213i | ||||
\(64\) | −102310. | − | 49269.8i | −0.390281 | − | 0.187949i | ||||
\(65\) | −74179.2 | + | 154035.i | −0.270111 | + | 0.560891i | ||||
\(66\) | −49826.5 | − | 62480.4i | −0.173312 | − | 0.217326i | ||||
\(67\) | 224291. | − | 281252.i | 0.745741 | − | 0.935129i | −0.253743 | − | 0.967272i | \(-0.581662\pi\) |
0.999483 | + | 0.0321425i | \(0.0102331\pi\) | |||||||
\(68\) | 312245. | + | 150369.i | 0.993045 | + | 0.478225i | ||||
\(69\) | 68606.9 | − | 15659.1i | 0.208843 | − | 0.0476671i | ||||
\(70\) | −59078.6 | + | 13484.3i | −0.172241 | + | 0.0393129i | ||||
\(71\) | −91052.3 | − | 72611.8i | −0.254399 | − | 0.202877i | 0.487983 | − | 0.872853i | \(-0.337733\pi\) |
−0.742382 | + | 0.669976i | \(0.766304\pi\) | |||||||
\(72\) | −152676. | − | 317035.i | −0.409047 | − | 0.849396i | ||||
\(73\) | 350082. | + | 79903.8i | 0.899913 | + | 0.205399i | 0.647361 | − | 0.762184i | \(-0.275873\pi\) |
0.252553 | + | 0.967583i | \(0.418730\pi\) | |||||||
\(74\) | −133516. | + | 64297.7i | −0.329486 | + | 0.158672i | ||||
\(75\) | 144227. | − | 115017.i | 0.341872 | − | 0.272633i | ||||
\(76\) | −128240. | + | 29269.9i | −0.292134 | + | 0.0666776i | ||||
\(77\) | 94324.8 | − | 75221.5i | 0.206611 | − | 0.164767i | ||||
\(78\) | −29856.9 | + | 130811.i | −0.0629159 | + | 0.275653i | ||||
\(79\) | 648492. | 1.31530 | 0.657648 | − | 0.753326i | \(-0.271552\pi\) | ||||
0.657648 | + | 0.753326i | \(0.271552\pi\) | |||||||
\(80\) | − | 405207.i | − | 0.791419i | ||||||
\(81\) | 18068.8 | − | 79164.6i | 0.0339996 | − | 0.148962i | ||||
\(82\) | 85819.0 | + | 68438.3i | 0.155647 | + | 0.124125i | ||||
\(83\) | 285499. | + | 137489.i | 0.499311 | + | 0.240455i | 0.666549 | − | 0.745461i | \(-0.267771\pi\) |
−0.167238 | + | 0.985916i | \(0.553485\pi\) | |||||||
\(84\) | 372530. | − | 179401.i | 0.628526 | − | 0.302682i | ||||
\(85\) | 851877.i | 1.38714i | ||||||||
\(86\) | −34162.7 | + | 201410.i | −0.0537102 | + | 0.316654i | ||||
\(87\) | −1.20294e6 | −1.82678 | ||||||||
\(88\) | −97678.1 | − | 202831.i | −0.143334 | − | 0.297636i | ||||
\(89\) | −531436. | + | 1.10354e6i | −0.753843 | + | 1.56537i | 0.0693387 | + | 0.997593i | \(0.477911\pi\) |
−0.823182 | + | 0.567778i | \(0.807803\pi\) | |||||||
\(90\) | 254979. | − | 319733.i | 0.349765 | − | 0.438591i | ||||
\(91\) | −197482. | − | 45074.0i | −0.262062 | − | 0.0598139i | ||||
\(92\) | 93729.0 | 0.120368 | ||||||||
\(93\) | 1.72167e6i | 2.14043i | ||||||||
\(94\) | −286231. | − | 65330.2i | −0.344614 | − | 0.0786558i | ||||
\(95\) | −201591. | − | 252787.i | −0.235125 | − | 0.294838i | ||||
\(96\) | −262196. | − | 1.14876e6i | −0.296356 | − | 1.29842i | ||||
\(97\) | −1.05002e6 | − | 1.31668e6i | −1.15049 | − | 1.44267i | −0.876803 | − | 0.480849i | \(-0.840328\pi\) |
−0.273686 | − | 0.961819i | \(-0.588243\pi\) | |||||||
\(98\) | 100007. | + | 207666.i | 0.106256 | + | 0.220642i | ||||
\(99\) | −181176. | + | 793783.i | −0.186722 | + | 0.818081i | ||||
\(100\) | 221372. | − | 106607.i | 0.221372 | − | 0.106607i | ||||
\(101\) | −227553. | + | 285342.i | −0.220861 | + | 0.276950i | −0.879901 | − | 0.475157i | \(-0.842391\pi\) |
0.659040 | + | 0.752108i | \(0.270963\pi\) | |||||||
\(102\) | 148769. | + | 651799.i | 0.140188 | + | 0.614205i | ||||
\(103\) | −95257.7 | − | 417351.i | −0.0871743 | − | 0.381935i | 0.912455 | − | 0.409178i | \(-0.134184\pi\) |
−0.999629 | + | 0.0272426i | \(0.991327\pi\) | |||||||
\(104\) | −163998. | + | 340546.i | −0.145794 | + | 0.302744i | ||||
\(105\) | 794613. | + | 633683.i | 0.686417 | + | 0.547399i | ||||
\(106\) | −395766. | + | 315613.i | −0.332293 | + | 0.264995i | ||||
\(107\) | −827423. | − | 398466.i | −0.675423 | − | 0.325267i | 0.0645389 | − | 0.997915i | \(-0.479442\pi\) |
−0.739962 | + | 0.672648i | \(0.765157\pi\) | |||||||
\(108\) | −428334. | + | 889445.i | −0.340026 | + | 0.706070i | ||||
\(109\) | 441478. | + | 553596.i | 0.340902 | + | 0.427478i | 0.922499 | − | 0.385999i | \(-0.126143\pi\) |
−0.581597 | + | 0.813477i | \(0.697572\pi\) | |||||||
\(110\) | 163129. | − | 204557.i | 0.122561 | − | 0.153686i | ||||
\(111\) | 2.23932e6 | + | 1.07840e6i | 1.63737 | + | 0.788517i | ||||
\(112\) | 468053. | − | 106830.i | 0.333151 | − | 0.0760396i | ||||
\(113\) | 925178. | − | 211166.i | 0.641195 | − | 0.146349i | 0.110452 | − | 0.993881i | \(-0.464770\pi\) |
0.530743 | + | 0.847533i | \(0.321913\pi\) | |||||||
\(114\) | −198389. | − | 158210.i | −0.133907 | − | 0.106787i | ||||
\(115\) | 99962.8 | + | 207575.i | 0.0657271 | + | 0.136484i | ||||
\(116\) | −1.56205e6 | − | 356528.i | −1.00074 | − | 0.228413i | ||||
\(117\) | 1.23163e6 | − | 593124.i | 0.768996 | − | 0.370329i | ||||
\(118\) | 787237. | − | 627801.i | 0.479137 | − | 0.382099i | ||||
\(119\) | −984002. | + | 224592.i | −0.583922 | + | 0.133276i | ||||
\(120\) | 1.48275e6 | − | 1.18245e6i | 0.858071 | − | 0.684289i | ||||
\(121\) | 278298. | − | 1.21930e6i | 0.157092 | − | 0.688265i | ||||
\(122\) | −776298. | −0.427513 | ||||||||
\(123\) | − | 1.84100e6i | − | 0.989326i | ||||||
\(124\) | −510270. | + | 2.23564e6i | −0.267630 | + | 1.17256i | ||||
\(125\) | −1.25135e6 | − | 997920.i | −0.640692 | − | 0.510935i | ||||
\(126\) | 436547. | + | 210230.i | 0.218232 | + | 0.105095i | ||||
\(127\) | −386070. | + | 185922.i | −0.188476 | + | 0.0907651i | −0.525742 | − | 0.850644i | \(-0.676212\pi\) |
0.337266 | + | 0.941409i | \(0.390498\pi\) | |||||||
\(128\) | − | 2.04169e6i | − | 0.973552i | ||||||
\(129\) | 2.99830e6 | − | 1.65820e6i | 1.39671 | − | 0.772447i | ||||
\(130\) | −439282. | −0.199946 | ||||||||
\(131\) | −799625. | − | 1.66044e6i | −0.355690 | − | 0.738599i | 0.643959 | − | 0.765060i | \(-0.277291\pi\) |
−0.999650 | + | 0.0264608i | \(0.991576\pi\) | |||||||
\(132\) | −774582. | + | 1.60844e6i | −0.336780 | + | 0.699330i | ||||
\(133\) | 238845. | − | 299502.i | 0.101522 | − | 0.127305i | ||||
\(134\) | 901134. | + | 205678.i | 0.374520 | + | 0.0854818i | ||||
\(135\) | −2.42661e6 | −0.986278 | ||||||||
\(136\) | 1.88337e6i | 0.748717i | ||||||||
\(137\) | −3.72565e6 | − | 850355.i | −1.44891 | − | 0.330703i | −0.575542 | − | 0.817772i | \(-0.695209\pi\) |
−0.873363 | + | 0.487069i | \(0.838066\pi\) | |||||||
\(138\) | 112735. | + | 141365.i | 0.0428964 | + | 0.0537904i | ||||
\(139\) | −543691. | − | 2.38207e6i | −0.202445 | − | 0.886971i | −0.969442 | − | 0.245320i | \(-0.921107\pi\) |
0.766997 | − | 0.641651i | \(-0.221750\pi\) | |||||||
\(140\) | 844016. | + | 1.05836e6i | 0.307586 | + | 0.385701i | ||||
\(141\) | 2.13649e6 | + | 4.43647e6i | 0.762156 | + | 1.58263i | ||||
\(142\) | 66586.0 | − | 291732.i | 0.0232551 | − | 0.101887i | ||||
\(143\) | 787967. | − | 379465.i | 0.269463 | − | 0.129767i | ||||
\(144\) | −2.02008e6 | + | 2.53310e6i | −0.676521 | + | 0.848330i | ||||
\(145\) | −876365. | − | 3.83961e6i | −0.287462 | − | 1.25945i | ||||
\(146\) | 205306. | + | 899505.i | 0.0659695 | + | 0.289031i | ||||
\(147\) | 1.67731e6 | − | 3.48298e6i | 0.528035 | − | 1.09648i | ||||
\(148\) | 2.58820e6 | + | 2.06402e6i | 0.798387 | + | 0.636692i | ||||
\(149\) | −2.01620e6 | + | 1.60787e6i | −0.609502 | + | 0.486061i | −0.878925 | − | 0.476960i | \(-0.841738\pi\) |
0.269423 | + | 0.963022i | \(0.413167\pi\) | |||||||
\(150\) | 427049. | + | 205656.i | 0.126533 | + | 0.0609351i | ||||
\(151\) | 1.80835e6 | − | 3.75508e6i | 0.525233 | − | 1.09066i | −0.454574 | − | 0.890709i | \(-0.650208\pi\) |
0.979807 | − | 0.199948i | \(-0.0640773\pi\) | |||||||
\(152\) | −445685. | − | 558871.i | −0.126910 | − | 0.159140i | ||||
\(153\) | 4.24687e6 | − | 5.32541e6i | 1.18576 | − | 1.48689i | ||||
\(154\) | 279291. | + | 134499.i | 0.0764706 | + | 0.0368263i | ||||
\(155\) | −5.49532e6 | + | 1.25427e6i | −1.47570 | + | 0.336819i | ||||
\(156\) | 2.92220e6 | − | 666972.i | 0.769725 | − | 0.175685i | ||||
\(157\) | 1.42290e6 | + | 1.13472e6i | 0.367684 | + | 0.293218i | 0.789850 | − | 0.613300i | \(-0.210158\pi\) |
−0.422165 | + | 0.906519i | \(0.638730\pi\) | |||||||
\(158\) | 722957. | + | 1.50123e6i | 0.183291 | + | 0.380607i | ||||
\(159\) | 8.27718e6 | + | 1.88921e6i | 2.05916 | + | 0.469991i | ||||
\(160\) | 3.47565e6 | − | 1.67378e6i | 0.848546 | − | 0.408638i | ||||
\(161\) | −213415. | + | 170193.i | −0.0511384 | + | 0.0407815i | ||||
\(162\) | 203407. | − | 46426.2i | 0.0478432 | − | 0.0109199i | ||||
\(163\) | −5.28616e6 | + | 4.21557e6i | −1.22061 | + | 0.973404i | −0.999998 | − | 0.00195709i | \(-0.999377\pi\) |
−0.220612 | + | 0.975362i | \(0.570806\pi\) | |||||||
\(164\) | 545638. | − | 2.39060e6i | 0.123701 | − | 0.541969i | ||||
\(165\) | −4.38819e6 | −0.976862 | ||||||||
\(166\) | 814197.i | 0.177994i | ||||||||
\(167\) | −377824. | + | 1.65535e6i | −0.0811223 | + | 0.355420i | −0.999156 | − | 0.0410830i | \(-0.986919\pi\) |
0.918033 | + | 0.396503i | \(0.129776\pi\) | |||||||
\(168\) | 1.75676e6 | + | 1.40097e6i | 0.370498 | + | 0.295462i | ||||
\(169\) | 3.02583e6 | + | 1.45716e6i | 0.626881 | + | 0.301890i | ||||
\(170\) | −1.97206e6 | + | 949696.i | −0.401397 | + | 0.193303i | ||||
\(171\) | 2.58526e6i | 0.517030i | ||||||||
\(172\) | 4.38484e6 | − | 1.26458e6i | 0.861725 | − | 0.248521i | ||||
\(173\) | −8.87572e6 | −1.71421 | −0.857107 | − | 0.515138i | \(-0.827741\pi\) | ||||
−0.857107 | + | 0.515138i | \(0.827741\pi\) | |||||||
\(174\) | −1.34107e6 | − | 2.78476e6i | −0.254568 | − | 0.528616i | ||||
\(175\) | −310473. | + | 644703.i | −0.0579307 | + | 0.120294i | ||||
\(176\) | −1.29239e6 | + | 1.62061e6i | −0.237059 | + | 0.297263i | ||||
\(177\) | −1.64645e7 | − | 3.75792e6i | −2.96913 | − | 0.677686i | ||||
\(178\) | −3.14711e6 | −0.558023 | ||||||||
\(179\) | 2.32107e6i | 0.404696i | 0.979314 | + | 0.202348i | \(0.0648572\pi\) | ||||
−0.979314 | + | 0.202348i | \(0.935143\pi\) | |||||||
\(180\) | −8.90657e6 | − | 2.03287e6i | −1.52719 | − | 0.348571i | ||||
\(181\) | 110800. | + | 138939.i | 0.0186855 | + | 0.0234309i | 0.791086 | − | 0.611704i | \(-0.209516\pi\) |
−0.772401 | + | 0.635135i | \(0.780944\pi\) | |||||||
\(182\) | −115814. | − | 507414.i | −0.0192108 | − | 0.0841682i | ||||
\(183\) | 8.11787e6 | + | 1.01795e7i | 1.32461 | + | 1.66101i | ||||
\(184\) | 221002. | + | 458915.i | 0.0354766 | + | 0.0736680i | ||||
\(185\) | −1.81070e6 | + | 7.93321e6i | −0.285978 | + | 1.25295i | ||||
\(186\) | −3.98561e6 | + | 1.91937e6i | −0.619378 | + | 0.298277i | ||||
\(187\) | 2.71704e6 | − | 3.40706e6i | 0.415500 | − | 0.521020i | ||||
\(188\) | 1.45941e6 | + | 6.39410e6i | 0.219636 | + | 0.962290i | ||||
\(189\) | −639761. | − | 2.80298e6i | −0.0947616 | − | 0.415178i | ||||
\(190\) | 360453. | − | 748488.i | 0.0525518 | − | 0.109125i | ||||
\(191\) | 2.68022e6 | + | 2.13740e6i | 0.384654 | + | 0.306751i | 0.796657 | − | 0.604431i | \(-0.206600\pi\) |
−0.412004 | + | 0.911182i | \(0.635171\pi\) | |||||||
\(192\) | −3.82595e6 | + | 3.05110e6i | −0.540550 | + | 0.431074i | ||||
\(193\) | 1.04338e7 | + | 5.02466e6i | 1.45135 | + | 0.698931i | 0.982828 | − | 0.184523i | \(-0.0590739\pi\) |
0.468518 | + | 0.883454i | \(0.344788\pi\) | |||||||
\(194\) | 1.87748e6 | − | 3.89863e6i | 0.257141 | − | 0.533958i | ||||
\(195\) | 4.59364e6 | + | 5.76025e6i | 0.619517 | + | 0.776850i | ||||
\(196\) | 3.21033e6 | − | 4.02562e6i | 0.426365 | − | 0.534644i | ||||
\(197\) | −1.01547e7 | − | 4.89025e6i | −1.32822 | − | 0.639635i | −0.370898 | − | 0.928673i | \(-0.620950\pi\) |
−0.957317 | + | 0.289038i | \(0.906664\pi\) | |||||||
\(198\) | −2.03956e6 | + | 465516.i | −0.262749 | + | 0.0599707i | ||||
\(199\) | 6.95516e6 | − | 1.58747e6i | 0.882568 | − | 0.201440i | 0.242863 | − | 0.970061i | \(-0.421914\pi\) |
0.639705 | + | 0.768620i | \(0.279056\pi\) | |||||||
\(200\) | 1.04394e6 | + | 832511.i | 0.130492 | + | 0.104064i | ||||
\(201\) | −6.72628e6 | − | 1.39673e7i | −0.828299 | − | 1.71998i | ||||
\(202\) | −914239. | − | 208669.i | −0.110919 | − | 0.0253165i | ||||
\(203\) | 4.20407e6 | − | 2.02458e6i | 0.502553 | − | 0.242017i | ||||
\(204\) | 1.16766e7 | − | 9.31181e6i | 1.37540 | − | 1.09684i | ||||
\(205\) | 5.87621e6 | − | 1.34121e6i | 0.682080 | − | 0.155680i | ||||
\(206\) | 859956. | − | 685792.i | 0.0983727 | − | 0.0784496i | ||||
\(207\) | 409920. | − | 1.79597e6i | 0.0462155 | − | 0.202483i | ||||
\(208\) | 3.48023e6 | 0.386739 | ||||||||
\(209\) | 1.65398e6i | 0.181172i | ||||||||
\(210\) | −581096. | + | 2.54595e6i | −0.0627466 | + | 0.274911i | ||||
\(211\) | −3.09604e6 | − | 2.46901e6i | −0.329578 | − | 0.262830i | 0.444694 | − | 0.895683i | \(-0.353312\pi\) |
−0.774272 | + | 0.632853i | \(0.781884\pi\) | |||||||
\(212\) | 1.01882e7 | + | 4.90639e6i | 1.06928 | + | 0.514937i | ||||
\(213\) | −4.52175e6 | + | 2.17756e6i | −0.467916 | + | 0.225336i | ||||
\(214\) | − | 2.35967e6i | − | 0.240774i | ||||||
\(215\) | 7.47706e6 | + | 8.36210e6i | 0.752342 | + | 0.841395i | ||||
\(216\) | −5.36486e6 | −0.532349 | ||||||||
\(217\) | −2.89761e6 | − | 6.01695e6i | −0.283570 | − | 0.588840i | ||||
\(218\) | −789383. | + | 1.63917e6i | −0.0761936 | + | 0.158218i | ||||
\(219\) | 9.64817e6 | − | 1.20984e7i | 0.918571 | − | 1.15185i | ||||
\(220\) | −5.69818e6 | − | 1.30057e6i | −0.535141 | − | 0.122143i | ||||
\(221\) | −7.31659e6 | −0.677847 | ||||||||
\(222\) | 6.38618e6i | 0.583690i | ||||||||
\(223\) | 7.21514e6 | + | 1.64681e6i | 0.650624 | + | 0.148501i | 0.535080 | − | 0.844802i | \(-0.320282\pi\) |
0.115544 | + | 0.993302i | \(0.463139\pi\) | |||||||
\(224\) | 2.84972e6 | + | 3.57343e6i | 0.253546 | + | 0.317937i | ||||
\(225\) | −1.07458e6 | − | 4.70803e6i | −0.0943386 | − | 0.413325i | ||||
\(226\) | 1.52026e6 | + | 1.90634e6i | 0.131702 | + | 0.165149i | ||||
\(227\) | 1.78822e6 | + | 3.71327e6i | 0.152877 | + | 0.317453i | 0.963316 | − | 0.268371i | \(-0.0864853\pi\) |
−0.810438 | + | 0.585824i | \(0.800771\pi\) | |||||||
\(228\) | −1.26136e6 | + | 5.52638e6i | −0.106423 | + | 0.466269i | ||||
\(229\) | −1.87278e7 | + | 9.01884e6i | −1.55948 | + | 0.751007i | −0.997117 | − | 0.0758812i | \(-0.975823\pi\) |
−0.562366 | + | 0.826889i | \(0.690109\pi\) | |||||||
\(230\) | −369087. | + | 462820.i | −0.0303351 | + | 0.0380390i | ||||
\(231\) | −1.15692e6 | − | 5.06879e6i | −0.0938570 | − | 0.411214i | ||||
\(232\) | −1.93750e6 | − | 8.48876e6i | −0.155160 | − | 0.679798i | ||||
\(233\) | 9.06845e6 | − | 1.88308e7i | 0.716911 | − | 1.48868i | −0.149187 | − | 0.988809i | \(-0.547666\pi\) |
0.866099 | − | 0.499873i | \(-0.166620\pi\) | |||||||
\(234\) | 2.74612e6 | + | 2.18996e6i | 0.214324 | + | 0.170918i | ||||
\(235\) | −1.26041e7 | + | 1.00514e7i | −0.971197 | + | 0.774504i | ||||
\(236\) | −2.02659e7 | − | 9.75954e6i | −1.54181 | − | 0.742494i | ||||
\(237\) | 1.21254e7 | − | 2.51787e7i | 0.910860 | − | 1.89142i | ||||
\(238\) | −1.61691e6 | − | 2.02755e6i | −0.119938 | − | 0.150397i | ||||
\(239\) | −939586. | + | 1.17820e6i | −0.0688245 | + | 0.0863032i | −0.815052 | − | 0.579388i | \(-0.803292\pi\) |
0.746228 | + | 0.665691i | \(0.231863\pi\) | |||||||
\(240\) | −1.57328e7 | − | 7.57650e6i | −1.13808 | − | 0.548069i | ||||
\(241\) | −4.12433e6 | + | 941352.i | −0.294647 | + | 0.0672514i | −0.367289 | − | 0.930107i | \(-0.619714\pi\) |
0.0726419 | + | 0.997358i | \(0.476857\pi\) | |||||||
\(242\) | 3.13290e6 | − | 715063.i | 0.221055 | − | 0.0504543i | ||||
\(243\) | −1.25387e7 | − | 9.99927e6i | −0.873843 | − | 0.696867i | ||||
\(244\) | 7.52428e6 | + | 1.56243e7i | 0.517959 | + | 1.07555i | ||||
\(245\) | 1.23391e7 | + | 2.81632e6i | 0.839045 | + | 0.191507i | ||||
\(246\) | 4.26186e6 | − | 2.05240e6i | 0.286282 | − | 0.137866i | ||||
\(247\) | 2.17113e6 | − | 1.73142e6i | 0.144077 | − | 0.114898i | ||||
\(248\) | −1.21493e7 | + | 2.77299e6i | −0.796517 | + | 0.181800i | ||||
\(249\) | 1.06765e7 | − | 8.51419e6i | 0.691559 | − | 0.551500i | ||||
\(250\) | 915106. | − | 4.00934e6i | 0.0585668 | − | 0.256598i | ||||
\(251\) | 2.26024e7 | 1.42933 | 0.714667 | − | 0.699465i | \(-0.246578\pi\) | ||||
0.714667 | + | 0.699465i | \(0.246578\pi\) | |||||||
\(252\) | − | 1.08239e7i | − | 0.676367i | ||||||
\(253\) | 262256. | − | 1.14902e6i | 0.0161943 | − | 0.0709520i | ||||
\(254\) | −860803. | − | 686468.i | −0.0525294 | − | 0.0418908i | ||||
\(255\) | 3.30754e7 | + | 1.59283e7i | 1.99474 | + | 0.960614i | ||||
\(256\) | −1.82140e6 | + | 877141.i | −0.108564 | + | 0.0522817i | ||||
\(257\) | 151968.i | 0.00895269i | 0.999990 | + | 0.00447634i | \(0.00142487\pi\) | ||||
−0.999990 | + | 0.00447634i | \(0.998575\pi\) | |||||||
\(258\) | 7.18127e6 | + | 5.09235e6i | 0.418160 | + | 0.296524i | ||||
\(259\) | −9.64102e6 | −0.554912 | ||||||||
\(260\) | 4.25775e6 | + | 8.84131e6i | 0.242248 | + | 0.503033i | ||||
\(261\) | −1.36631e7 | + | 2.83718e7i | −0.768473 | + | 1.59575i | ||||
\(262\) | 2.95241e6 | − | 3.70220e6i | 0.164162 | − | 0.205853i | ||||
\(263\) | −3.07645e7 | − | 7.02180e6i | −1.69115 | − | 0.385994i | −0.734817 | − | 0.678266i | \(-0.762732\pi\) |
−0.956335 | + | 0.292271i | \(0.905589\pi\) | |||||||
\(264\) | −9.70158e6 | −0.527267 | ||||||||
\(265\) | 2.77958e7i | 1.49363i | ||||||||
\(266\) | 959608. | + | 219024.i | 0.0509858 | + | 0.0116372i | ||||
\(267\) | 3.29098e7 | + | 4.12676e7i | 1.72899 | + | 2.16808i | ||||
\(268\) | −4.59464e6 | − | 2.01304e7i | −0.238697 | − | 1.04580i | ||||
\(269\) | −9.03422e6 | − | 1.13285e7i | −0.464124 | − | 0.581993i | 0.493598 | − | 0.869690i | \(-0.335682\pi\) |
−0.957721 | + | 0.287698i | \(0.907110\pi\) | |||||||
\(270\) | −2.70525e6 | − | 5.61752e6i | −0.137441 | − | 0.285400i | ||||
\(271\) | −6.54341e6 | + | 2.86685e7i | −0.328773 | + | 1.44045i | 0.492699 | + | 0.870200i | \(0.336010\pi\) |
−0.821472 | + | 0.570248i | \(0.806847\pi\) | |||||||
\(272\) | 1.56238e7 | − | 7.52401e6i | 0.776389 | − | 0.373889i | ||||
\(273\) | −5.44256e6 | + | 6.82476e6i | −0.267495 | + | 0.335428i | ||||
\(274\) | −2.18491e6 | − | 9.57273e6i | −0.106214 | − | 0.465355i | ||||
\(275\) | −687485. | − | 3.01207e6i | −0.0330571 | − | 0.144833i | ||||
\(276\) | 1.75253e6 | − | 3.63917e6i | 0.0833564 | − | 0.173091i | ||||
\(277\) | −8.91938e6 | − | 7.11297e6i | −0.419658 | − | 0.334666i | 0.390787 | − | 0.920481i | \(-0.372203\pi\) |
−0.810445 | + | 0.585815i | \(0.800774\pi\) | |||||||
\(278\) | 4.90827e6 | − | 3.91422e6i | 0.228452 | − | 0.182184i | ||||
\(279\) | 4.06063e7 | + | 1.95549e7i | 1.86974 | + | 0.900418i | ||||
\(280\) | −3.19186e6 | + | 6.62796e6i | −0.145402 | + | 0.301930i | ||||
\(281\) | 4.80602e6 | + | 6.02655e6i | 0.216604 | + | 0.271613i | 0.878248 | − | 0.478205i | \(-0.158712\pi\) |
−0.661644 | + | 0.749818i | \(0.730141\pi\) | |||||||
\(282\) | −7.88845e6 | + | 9.89180e6i | −0.351758 | + | 0.441091i | ||||
\(283\) | 95465.3 | + | 45973.6i | 0.00421198 | + | 0.00202838i | 0.435989 | − | 0.899952i | \(-0.356399\pi\) |
−0.431777 | + | 0.901981i | \(0.642113\pi\) | |||||||
\(284\) | −6.51700e6 | + | 1.48746e6i | −0.284507 | + | 0.0649368i | ||||
\(285\) | −1.35841e7 | + | 3.10049e6i | −0.586810 | + | 0.133936i | ||||
\(286\) | 1.75689e6 | + | 1.40108e6i | 0.0751013 | + | 0.0598913i | ||||
\(287\) | 3.09845e6 | + | 6.43400e6i | 0.131069 | + | 0.272167i | ||||
\(288\) | −3.00719e7 | − | 6.86372e6i | −1.25888 | − | 0.287331i | ||||
\(289\) | −1.10991e7 | + | 5.34505e6i | −0.459827 | + | 0.221441i | ||||
\(290\) | 7.91155e6 | − | 6.30925e6i | 0.324390 | − | 0.258692i | ||||
\(291\) | −7.07554e7 | + | 1.61495e7i | −2.87132 | + | 0.655359i | ||||
\(292\) | 1.61142e7 | − | 1.28506e7i | 0.647230 | − | 0.516149i | ||||
\(293\) | 4.59394e6 | − | 2.01274e7i | 0.182635 | − | 0.800174i | −0.797735 | − | 0.603008i | \(-0.793969\pi\) |
0.980370 | − | 0.197167i | \(-0.0631740\pi\) | |||||||
\(294\) | 9.93289e6 | 0.390871 | ||||||||
\(295\) | − | 5.52901e7i | − | 2.15368i | ||||||
\(296\) | −4.00318e6 | + | 1.75391e7i | −0.154358 | + | 0.676288i | ||||
\(297\) | 9.70516e6 | + | 7.73961e6i | 0.370453 | + | 0.295427i | ||||
\(298\) | −5.96987e6 | − | 2.87494e6i | −0.225588 | − | 0.108637i | ||||
\(299\) | −1.78282e6 | + | 858558.i | −0.0666949 | + | 0.0321186i | ||||
\(300\) | − | 1.05884e7i | − | 0.392164i | ||||||
\(301\) | −7.68777e6 | + | 1.08413e7i | −0.281904 | + | 0.397543i | ||||
\(302\) | 1.07089e7 | 0.388797 | ||||||||
\(303\) | 6.82410e6 | + | 1.41704e7i | 0.245311 | + | 0.509394i | ||||
\(304\) | −2.85570e6 | + | 5.92993e6i | −0.101647 | + | 0.211071i | ||||
\(305\) | −2.65774e7 | + | 3.33270e7i | −0.936726 | + | 1.17462i | ||||
\(306\) | 1.70627e7 | + | 3.89444e6i | 0.595501 | + | 0.135919i | ||||
\(307\) | 2.45041e7 | 0.846882 | 0.423441 | − | 0.905924i | \(-0.360822\pi\) | ||||
0.423441 | + | 0.905924i | \(0.360822\pi\) | |||||||
\(308\) | − | 6.92485e6i | − | 0.237005i | ||||||
\(309\) | −1.79854e7 | − | 4.10505e6i | −0.609600 | − | 0.139137i | ||||
\(310\) | −9.02992e6 | − | 1.13232e7i | −0.303109 | − | 0.380087i | ||||
\(311\) | −5.44112e6 | − | 2.38391e7i | −0.180887 | − | 0.792517i | −0.981209 | − | 0.192947i | \(-0.938195\pi\) |
0.800322 | − | 0.599570i | \(-0.204662\pi\) | |||||||
\(312\) | 1.01558e7 | + | 1.27350e7i | 0.334388 | + | 0.419309i | ||||
\(313\) | 1.08818e7 | + | 2.25963e7i | 0.354868 | + | 0.736892i | 0.999622 | − | 0.0274989i | \(-0.00875426\pi\) |
−0.644753 | + | 0.764391i | \(0.723040\pi\) | |||||||
\(314\) | −1.04056e6 | + | 4.55898e6i | −0.0336107 | + | 0.147258i | ||||
\(315\) | 2.39709e7 | − | 1.15438e7i | 0.766926 | − | 0.369332i | ||||
\(316\) | 2.32077e7 | − | 2.91015e7i | 0.735479 | − | 0.922262i | ||||
\(317\) | −6.30357e6 | − | 2.76177e7i | −0.197883 | − | 0.866982i | −0.972194 | − | 0.234177i | \(-0.924761\pi\) |
0.774311 | − | 0.632805i | \(-0.218097\pi\) | |||||||
\(318\) | 4.85417e6 | + | 2.12675e7i | 0.150950 | + | 0.661356i | ||||
\(319\) | −8.74131e6 | + | 1.81515e7i | −0.269280 | + | 0.559166i | ||||
\(320\) | −1.25259e7 | − | 9.98908e6i | −0.382261 | − | 0.304843i | ||||
\(321\) | −3.09421e7 | + | 2.46755e7i | −0.935480 | + | 0.746020i | ||||
\(322\) | −631910. | − | 304312.i | −0.0189273 | − | 0.00911489i | ||||
\(323\) | 6.00363e6 | − | 1.24667e7i | 0.178158 | − | 0.369950i | ||||
\(324\) | −2.90593e6 | − | 3.64392e6i | −0.0854379 | − | 0.107136i | ||||
\(325\) | −3.23418e6 | + | 4.05554e6i | −0.0942138 | + | 0.118140i | ||||
\(326\) | −1.56520e7 | − | 7.53762e6i | −0.451771 | − | 0.217561i | ||||
\(327\) | 2.97489e7 | − | 6.79000e6i | 0.850802 | − | 0.194190i | ||||
\(328\) | 1.29914e7 | − | 2.96519e6i | 0.368157 | − | 0.0840294i | ||||
\(329\) | −1.49334e7 | − | 1.19090e7i | −0.419343 | − | 0.334415i | ||||
\(330\) | −4.89207e6 | − | 1.01585e7i | −0.136129 | − | 0.282675i | ||||
\(331\) | −3.41709e7 | − | 7.79930e6i | −0.942265 | − | 0.215066i | −0.276319 | − | 0.961066i | \(-0.589115\pi\) |
−0.665946 | + | 0.746000i | \(0.731972\pi\) | |||||||
\(332\) | 1.63871e7 | − | 7.89162e6i | 0.447804 | − | 0.215651i | ||||
\(333\) | 5.08689e7 | − | 4.05666e7i | 1.37759 | − | 1.09859i | ||||
\(334\) | −4.25329e6 | + | 970786.i | −0.114153 | + | 0.0260546i | ||||
\(335\) | 3.96812e7 | − | 3.16447e7i | 1.05548 | − | 0.841718i | ||||
\(336\) | 4.60376e6 | − | 2.01704e7i | 0.121365 | − | 0.531736i | ||||
\(337\) | 2.57339e7 | 0.672382 | 0.336191 | − | 0.941794i | \(-0.390861\pi\) | ||||
0.336191 | + | 0.941794i | \(0.390861\pi\) | |||||||
\(338\) | 8.62918e6i | 0.223470i | ||||||||
\(339\) | 9.10003e6 | − | 3.98698e7i | 0.233584 | − | 1.02340i | ||||
\(340\) | 3.82286e7 | + | 3.04863e7i | 0.972638 | + | 0.775653i | ||||
\(341\) | 2.59788e7 | + | 1.25107e7i | 0.655173 | + | 0.315515i | ||||
\(342\) | −5.98477e6 | + | 2.88211e6i | −0.149613 | + | 0.0720498i | ||||
\(343\) | 3.46617e7i | 0.858949i | ||||||||
\(344\) | 1.65306e7 | + | 1.84873e7i | 0.406081 | + | 0.454148i | ||||
\(345\) | 9.92850e6 | 0.241783 | ||||||||
\(346\) | −9.89489e6 | − | 2.05470e7i | −0.238882 | − | 0.496043i | ||||
\(347\) | 2.79371e7 | − | 5.80119e7i | 0.668640 | − | 1.38844i | −0.239962 | − | 0.970782i | \(-0.577135\pi\) |
0.908602 | − | 0.417663i | \(-0.137151\pi\) | |||||||
\(348\) | −4.30498e7 | + | 5.39828e7i | −1.02149 | + | 1.28091i | ||||
\(349\) | −3.74345e7 | − | 8.54417e6i | −0.880634 | − | 0.200999i | −0.241784 | − | 0.970330i | \(-0.577732\pi\) |
−0.638850 | + | 0.769331i | \(0.720590\pi\) | |||||||
\(350\) | −1.83859e6 | −0.0428825 | ||||||||
\(351\) | − | 2.08417e7i | − | 0.481960i | ||||||
\(352\) | −1.92392e7 | − | 4.39122e6i | −0.441123 | − | 0.100683i | ||||
\(353\) | −6.14961e6 | − | 7.71137e6i | −0.139805 | − | 0.175310i | 0.707000 | − | 0.707214i | \(-0.250048\pi\) |
−0.846805 | + | 0.531904i | \(0.821477\pi\) | |||||||
\(354\) | −9.65567e6 | − | 4.23042e7i | −0.217657 | − | 0.953617i | ||||
\(355\) | −1.02446e7 | − | 1.28463e7i | −0.228987 | − | 0.287141i | ||||
\(356\) | 3.05034e7 | + | 6.33410e7i | 0.676081 | + | 1.40390i | ||||
\(357\) | −9.67861e6 | + | 4.24048e7i | −0.212720 | + | 0.931988i | ||||
\(358\) | −5.37319e6 | + | 2.58759e6i | −0.117107 | + | 0.0563958i | ||||
\(359\) | 1.85206e7 | − | 2.32241e7i | 0.400288 | − | 0.501945i | −0.540311 | − | 0.841465i | \(-0.681693\pi\) |
0.940599 | + | 0.339520i | \(0.110265\pi\) | |||||||
\(360\) | −1.10473e7 | − | 4.84015e7i | −0.236783 | − | 1.03741i | ||||
\(361\) | −9.30007e6 | − | 4.07463e7i | −0.197681 | − | 0.866096i | ||||
\(362\) | −198116. | + | 411392.i | −0.00417632 | + | 0.00867221i | ||||
\(363\) | −4.21377e7 | − | 3.36037e7i | −0.880950 | − | 0.702534i | ||||
\(364\) | −9.09005e6 | + | 7.24907e6i | −0.188479 | + | 0.150307i | ||||
\(365\) | 4.56452e7 | + | 2.19816e7i | 0.938678 | + | 0.452043i | ||||
\(366\) | −1.45151e7 | + | 3.01410e7i | −0.296058 | + | 0.614772i | ||||
\(367\) | 2.98942e7 | + | 3.74861e7i | 0.604768 | + | 0.758355i | 0.986113 | − | 0.166078i | \(-0.0531104\pi\) |
−0.381345 | + | 0.924433i | \(0.624539\pi\) | |||||||
\(368\) | 2.92411e6 | − | 3.66671e6i | 0.0586746 | − | 0.0735756i | ||||
\(369\) | −4.34208e7 | − | 2.09103e7i | −0.864208 | − | 0.416181i | ||||
\(370\) | −2.03837e7 | + | 4.65245e6i | −0.402419 | + | 0.0918495i | ||||
\(371\) | −3.21069e7 | + | 7.32819e6i | −0.628748 | + | 0.143508i | ||||
\(372\) | 7.72612e7 | + | 6.16137e7i | 1.50083 | + | 1.19687i | ||||
\(373\) | 2.42834e7 | + | 5.04250e7i | 0.467932 | + | 0.971671i | 0.992721 | + | 0.120438i | \(0.0384300\pi\) |
−0.524789 | + | 0.851232i | \(0.675856\pi\) | |||||||
\(374\) | 1.09162e7 | + | 2.49156e6i | 0.208669 | + | 0.0476273i | ||||
\(375\) | −6.21434e7 | + | 2.99267e7i | −1.17842 | + | 0.567499i | ||||
\(376\) | −2.78656e7 | + | 2.22221e7i | −0.524210 | + | 0.418043i | ||||
\(377\) | 3.29775e7 | − | 7.52691e6i | 0.615452 | − | 0.140473i | ||||
\(378\) | 5.77556e6 | − | 4.60586e6i | 0.106935 | − | 0.0852776i | ||||
\(379\) | 313743. | − | 1.37460e6i | 0.00576310 | − | 0.0252498i | −0.971965 | − | 0.235127i | \(-0.924449\pi\) |
0.977728 | + | 0.209877i | \(0.0673065\pi\) | |||||||
\(380\) | −1.85583e7 | −0.338211 | ||||||||
\(381\) | 1.84661e7i | 0.333888i | ||||||||
\(382\) | −1.96003e6 | + | 8.58744e6i | −0.0351619 | + | 0.154054i | ||||
\(383\) | 2.53181e7 | + | 2.01905e7i | 0.450645 | + | 0.359378i | 0.822358 | − | 0.568970i | \(-0.192658\pi\) |
−0.371713 | + | 0.928348i | \(0.621229\pi\) | |||||||
\(384\) | −7.92716e7 | − | 3.81752e7i | −1.39999 | − | 0.674198i | ||||
\(385\) | 1.53360e7 | − | 7.38541e6i | 0.268738 | − | 0.129417i | ||||
\(386\) | 2.97555e7i | 0.517375i | ||||||||
\(387\) | −5.05425e6 | − | 8.95502e7i | −0.0872015 | − | 1.54502i | ||||
\(388\) | −9.66643e7 | −1.65490 | ||||||||
\(389\) | −1.25559e7 | − | 2.60725e7i | −0.213303 | − | 0.442929i | 0.766674 | − | 0.642036i | \(-0.221910\pi\) |
−0.979978 | + | 0.199107i | \(0.936196\pi\) | |||||||
\(390\) | −8.21364e6 | + | 1.70558e7i | −0.138466 | + | 0.287527i | ||||
\(391\) | −6.14743e6 | + | 7.70864e6i | −0.102840 | + | 0.128958i | ||||
\(392\) | 2.72798e7 | + | 6.22643e6i | 0.452880 | + | 0.103367i | ||||
\(393\) | −7.94203e7 | −1.30844 | ||||||||
\(394\) | − | 2.89595e7i | − | 0.473482i | ||||||
\(395\) | 8.92002e7 | + | 2.03594e7i | 1.44735 | + | 0.330349i | ||||
\(396\) | 2.91378e7 | + | 3.65376e7i | 0.469214 | + | 0.588375i | ||||
\(397\) | 1.39207e7 | + | 6.09904e7i | 0.222479 | + | 0.974743i | 0.955605 | + | 0.294651i | \(0.0952033\pi\) |
−0.733126 | + | 0.680093i | \(0.761940\pi\) | |||||||
\(398\) | 1.14287e7 | + | 1.43312e7i | 0.181280 | + | 0.227318i | ||||
\(399\) | −7.16274e6 | − | 1.48736e7i | −0.112761 | − | 0.234152i | ||||
\(400\) | 2.73573e6 | − | 1.19860e7i | 0.0427458 | − | 0.187282i | ||||
\(401\) | −1.42001e7 | + | 6.83841e6i | −0.220221 | + | 0.106053i | −0.540742 | − | 0.841189i | \(-0.681856\pi\) |
0.320521 | + | 0.947241i | \(0.396142\pi\) | |||||||
\(402\) | 2.48351e7 | − | 3.11422e7i | 0.382285 | − | 0.479370i | ||||
\(403\) | −1.07727e7 | − | 4.71981e7i | −0.164592 | − | 0.721123i | ||||
\(404\) | 4.66146e6 | + | 2.04232e7i | 0.0706932 | + | 0.309727i | ||||
\(405\) | 4.97073e6 | − | 1.03218e7i | 0.0748265 | − | 0.155379i | ||||
\(406\) | 9.37363e6 | + | 7.47522e6i | 0.140065 | + | 0.111698i | ||||
\(407\) | 3.25446e7 | − | 2.59534e7i | 0.482720 | − | 0.384957i | ||||
\(408\) | 7.31245e7 | + | 3.52149e7i | 1.07667 | + | 0.518497i | ||||
\(409\) | 1.96643e7 | − | 4.08332e7i | 0.287414 | − | 0.596821i | −0.706409 | − | 0.707804i | \(-0.749686\pi\) |
0.993822 | + | 0.110984i | \(0.0354001\pi\) | |||||||
\(410\) | 9.65580e6 | + | 1.21080e7i | 0.140100 | + | 0.175679i | ||||
\(411\) | −1.02678e8 | + | 1.28754e8i | −1.47894 | + | 1.85454i | ||||
\(412\) | −2.21379e7 | − | 1.06611e7i | −0.316552 | − | 0.152443i | ||||
\(413\) | 6.38654e7 | − | 1.45769e7i | 0.906600 | − | 0.206926i | ||||
\(414\) | 4.61460e6 | − | 1.05325e6i | 0.0650330 | − | 0.0148433i | ||||
\(415\) | 3.49540e7 | + | 2.78749e7i | 0.489050 | + | 0.390004i | ||||
\(416\) | 1.43758e7 | + | 2.98516e7i | 0.199687 | + | 0.414655i | ||||
\(417\) | −1.02653e8 | − | 2.34299e7i | −1.41568 | − | 0.323119i | ||||
\(418\) | −3.82890e6 | + | 1.84390e6i | −0.0524258 | + | 0.0252469i | ||||
\(419\) | −3.51568e7 | + | 2.80366e7i | −0.477933 | + | 0.381139i | −0.832619 | − | 0.553847i | \(-0.813159\pi\) |
0.354685 | + | 0.934986i | \(0.384588\pi\) | |||||||
\(420\) | 5.68739e7 | − | 1.29811e7i | 0.767653 | − | 0.175212i | ||||
\(421\) | −6.54843e7 | + | 5.22220e7i | −0.877588 | + | 0.699853i | −0.954828 | − | 0.297159i | \(-0.903961\pi\) |
0.0772396 | + | 0.997013i | \(0.475389\pi\) | |||||||
\(422\) | 2.26411e6 | − | 9.91973e6i | 0.0301273 | − | 0.131996i | ||||
\(423\) | 1.28902e8 | 1.70310 | ||||||||
\(424\) | 6.14521e7i | 0.806194i | ||||||||
\(425\) | −5.75141e6 | + | 2.51986e7i | −0.0749216 | + | 0.328253i | ||||
\(426\) | −1.00819e7 | − | 8.04008e6i | −0.130411 | − | 0.104000i | ||||
\(427\) | −4.55029e7 | − | 2.19130e7i | −0.584461 | − | 0.281461i | ||||
\(428\) | −4.74925e7 | + | 2.28712e7i | −0.605750 | + | 0.291714i | ||||
\(429\) | − | 3.76892e7i | − | 0.477359i | ||||||
\(430\) | −1.10223e7 | + | 2.66314e7i | −0.138633 | + | 0.334957i | ||||
\(431\) | 9.03965e7 | 1.12907 | 0.564533 | − | 0.825410i | \(-0.309056\pi\) | ||||
0.564533 | + | 0.825410i | \(0.309056\pi\) | |||||||
\(432\) | 2.14325e7 | + | 4.45051e7i | 0.265841 | + | 0.552024i | ||||
\(433\) | 3.83419e7 | − | 7.96179e7i | 0.472292 | − | 0.980724i | −0.519691 | − | 0.854354i | \(-0.673953\pi\) |
0.991983 | − | 0.126370i | \(-0.0403327\pi\) | |||||||
\(434\) | 1.06987e7 | − | 1.34157e7i | 0.130876 | − | 0.164114i | ||||
\(435\) | −1.65465e8 | − | 3.77663e7i | −2.01019 | − | 0.458813i | ||||
\(436\) | 4.06422e7 | 0.490364 | ||||||||
\(437\) | − | 3.74221e6i | − | 0.0448419i | ||||||
\(438\) | 3.87634e7 | + | 8.84750e6i | 0.461318 | + | 0.105293i | ||||
\(439\) | −5.74825e7 | − | 7.20808e7i | −0.679426 | − | 0.851973i | 0.315875 | − | 0.948801i | \(-0.397702\pi\) |
−0.995301 | + | 0.0968277i | \(0.969130\pi\) | |||||||
\(440\) | −7.06779e6 | − | 3.09660e7i | −0.0829708 | − | 0.363519i | ||||
\(441\) | −6.30962e7 | − | 7.91202e7i | −0.735678 | − | 0.922511i | ||||
\(442\) | −8.15673e6 | − | 1.69376e7i | −0.0944603 | − | 0.196149i | ||||
\(443\) | −8.02732e6 | + | 3.51700e7i | −0.0923336 | + | 0.404540i | −0.999881 | − | 0.0154092i | \(-0.995095\pi\) |
0.907548 | + | 0.419949i | \(0.137952\pi\) | |||||||
\(444\) | 1.28533e8 | − | 6.18982e7i | 1.46847 | − | 0.707178i | ||||
\(445\) | −1.07745e8 | + | 1.35107e8i | −1.22269 | + | 1.53320i | ||||
\(446\) | 4.23133e6 | + | 1.85387e7i | 0.0476950 | + | 0.208965i | ||||
\(447\) | 2.47292e7 | + | 1.08346e8i | 0.276878 | + | 1.21308i | ||||
\(448\) | 8.23599e6 | − | 1.71022e7i | 0.0915972 | − | 0.190203i | ||||
\(449\) | 3.14751e7 | + | 2.51006e7i | 0.347719 | + | 0.277297i | 0.781738 | − | 0.623607i | \(-0.214333\pi\) |
−0.434019 | + | 0.900904i | \(0.642905\pi\) | |||||||
\(450\) | 9.70094e6 | − | 7.73624e6i | 0.106457 | − | 0.0848970i | ||||
\(451\) | −2.77794e7 | − | 1.33779e7i | −0.302826 | − | 0.145834i | ||||
\(452\) | 2.36333e7 | − | 4.90750e7i | 0.255923 | − | 0.531429i | ||||
\(453\) | −1.11984e8 | − | 1.40424e8i | −1.20466 | − | 1.51059i | ||||
\(454\) | −6.60253e6 | + | 8.27932e6i | −0.0705575 | + | 0.0884763i | ||||
\(455\) | −2.57486e7 | − | 1.23999e7i | −0.273350 | − | 0.131639i | ||||
\(456\) | −3.00324e7 | + | 6.85469e6i | −0.316734 | + | 0.0722925i | ||||
\(457\) | 1.03605e8 | − | 2.36472e7i | 1.08551 | − | 0.247760i | 0.357904 | − | 0.933758i | \(-0.383491\pi\) |
0.727603 | + | 0.685998i | \(0.240634\pi\) | |||||||
\(458\) | −4.17565e7 | − | 3.32997e7i | −0.434638 | − | 0.346613i | ||||
\(459\) | −4.50582e7 | − | 9.35643e7i | −0.465946 | − | 0.967547i | ||||
\(460\) | 1.28924e7 | + | 2.94261e6i | 0.132453 | + | 0.0302315i | ||||
\(461\) | −2.79946e7 | + | 1.34815e7i | −0.285740 | + | 0.137605i | −0.571264 | − | 0.820767i | \(-0.693547\pi\) |
0.285524 | + | 0.958372i | \(0.407832\pi\) | |||||||
\(462\) | 1.04443e7 | − | 8.32904e6i | 0.105914 | − | 0.0844635i | ||||
\(463\) | 1.35607e8 | − | 3.09513e7i | 1.36627 | − | 0.311843i | 0.524379 | − | 0.851485i | \(-0.324298\pi\) |
0.841895 | + | 0.539642i | \(0.181440\pi\) | |||||||
\(464\) | −6.26796e7 | + | 4.99853e7i | −0.627440 | + | 0.500367i | ||||
\(465\) | −5.40518e7 | + | 2.36816e8i | −0.537590 | + | 2.35534i | ||||
\(466\) | 5.37024e7 | 0.530684 | ||||||||
\(467\) | 8.82488e7i | 0.866479i | 0.901279 | + | 0.433240i | \(0.142630\pi\) | ||||
−0.901279 | + | 0.433240i | \(0.857370\pi\) | |||||||
\(468\) | 1.74598e7 | − | 7.64966e7i | 0.170335 | − | 0.746285i | ||||
\(469\) | 4.70144e7 | + | 3.74928e7i | 0.455735 | + | 0.363437i | ||||
\(470\) | −3.73200e7 | − | 1.79724e7i | −0.359458 | − | 0.173106i | ||||
\(471\) | 7.06626e7 | − | 3.40293e7i | 0.676281 | − | 0.325680i | ||||
\(472\) | − | 1.22237e8i | − | 1.16246i | ||||||
\(473\) | −3.23358e6 | − | 5.72918e7i | −0.0305562 | − | 0.541388i | ||||
\(474\) | 7.18055e7 | 0.674253 | ||||||||
\(475\) | −4.25638e6 | − | 8.83846e6i | −0.0397154 | − | 0.0824700i | ||||
\(476\) | −2.51359e7 | + | 5.21952e7i | −0.233063 | + | 0.483961i | ||||
\(477\) | 1.38571e8 | − | 1.73762e8i | 1.27678 | − | 1.60103i | ||||
\(478\) | −3.77497e6 | − | 861613.i | −0.0345645 | − | 0.00788912i | ||||
\(479\) | 1.62441e8 | 1.47805 | 0.739025 | − | 0.673678i | \(-0.235286\pi\) | ||||
0.739025 | + | 0.673678i | \(0.235286\pi\) | |||||||
\(480\) | − | 1.66243e8i | − | 1.50321i | ||||||
\(481\) | −6.81366e7 | − | 1.55517e7i | −0.612274 | − | 0.139747i | ||||
\(482\) | −6.77712e6 | − | 8.49823e6i | −0.0605207 | − | 0.0758905i | ||||
\(483\) | 2.61759e6 | + | 1.14684e7i | 0.0232306 | + | 0.101780i | ||||
\(484\) | −4.47575e7 | − | 5.61242e7i | −0.394757 | − | 0.495010i | ||||
\(485\) | −1.03093e8 | − | 2.14076e8i | −0.903661 | − | 1.87647i | ||||
\(486\) | 9.16947e6 | − | 4.01741e7i | 0.0798795 | − | 0.349975i | ||||
\(487\) | −6.26685e7 | + | 3.01795e7i | −0.542578 | + | 0.261292i | −0.685036 | − | 0.728509i | \(-0.740214\pi\) |
0.142458 | + | 0.989801i | \(0.454499\pi\) | |||||||
\(488\) | −5.87584e7 | + | 7.36806e7i | −0.505604 | + | 0.634007i | ||||
\(489\) | 6.48360e7 | + | 2.84065e8i | 0.554485 | + | 2.42936i | ||||
\(490\) | 7.23629e6 | + | 3.17043e7i | 0.0615075 | + | 0.269482i | ||||
\(491\) | −644307. | + | 1.33792e6i | −0.00544312 | + | 0.0113028i | −0.903673 | − | 0.428224i | \(-0.859139\pi\) |
0.898230 | + | 0.439527i | \(0.144854\pi\) | |||||||
\(492\) | −8.26163e7 | − | 6.58843e7i | −0.693698 | − | 0.553205i | ||||
\(493\) | 1.31773e8 | − | 1.05086e8i | 1.09973 | − | 0.877006i | ||||
\(494\) | 6.42860e6 | + | 3.09585e6i | 0.0533256 | + | 0.0256802i | ||||
\(495\) | −4.98415e7 | + | 1.03497e8i | −0.410938 | + | 0.853321i | ||||
\(496\) | 7.15400e7 | + | 8.97083e7i | 0.586278 | + | 0.735170i | ||||
\(497\) | 1.21379e7 | − | 1.52204e7i | 0.0988719 | − | 0.123981i | ||||
\(498\) | 3.16124e7 | + | 1.52238e7i | 0.255959 | + | 0.123263i | ||||
\(499\) | 1.89469e8 | − | 4.32450e7i | 1.52488 | − | 0.348044i | 0.623761 | − | 0.781615i | \(-0.285604\pi\) |
0.901119 | + | 0.433571i | \(0.142747\pi\) | |||||||
\(500\) | −8.95646e7 | + | 2.04425e7i | −0.716517 | + | 0.163540i | ||||
\(501\) | 5.72072e7 | + | 4.56212e7i | 0.454922 | + | 0.362789i | ||||
\(502\) | 2.51978e7 | + | 5.23237e7i | 0.199182 | + | 0.413607i | ||||
\(503\) | 1.16097e8 | + | 2.64984e7i | 0.912259 | + | 0.208217i | 0.652794 | − | 0.757535i | \(-0.273597\pi\) |
0.259465 | + | 0.965753i | \(0.416454\pi\) | |||||||
\(504\) | 5.29959e7 | − | 2.55215e7i | 0.413953 | − | 0.199349i | ||||
\(505\) | −4.02583e7 | + | 3.21049e7i | −0.312594 | + | 0.249285i | ||||
\(506\) | 2.95230e6 | − | 673843.i | 0.0227881 | − | 0.00520125i | ||||
\(507\) | 1.13153e8 | − | 9.02367e7i | 0.868247 | − | 0.692404i | ||||
\(508\) | −5.47300e6 | + | 2.39788e7i | −0.0417478 | + | 0.182909i | ||||
\(509\) | −6.94648e7 | −0.526758 | −0.263379 | − | 0.964692i | \(-0.584837\pi\) | ||||
−0.263379 | + | 0.964692i | \(0.584837\pi\) | |||||||
\(510\) | 9.43257e7i | 0.711082i | ||||||||
\(511\) | −1.33568e7 | + | 5.85200e7i | −0.100101 | + | 0.438573i | ||||
\(512\) | −1.06221e8 | − | 8.47087e7i | −0.791411 | − | 0.631129i | ||||
\(513\) | 3.55119e7 | + | 1.71016e7i | 0.263040 | + | 0.126673i | ||||
\(514\) | −351801. | + | 169418.i | −0.00259064 | + | 0.00124759i | ||||
\(515\) | − | 6.03973e7i | − | 0.442177i | ||||||
\(516\) | 3.28878e7 | − | 1.93893e8i | 0.239379 | − | 1.41128i | ||||
\(517\) | 8.24683e7 | 0.596781 | ||||||||
\(518\) | −1.07481e7 | − | 2.23186e7i | −0.0773288 | − | 0.160575i | ||||
\(519\) | −1.65957e8 | + | 3.44613e8i | −1.18712 | + | 2.46507i | ||||
\(520\) | −3.32495e7 | + | 4.16935e7i | −0.236469 | + | 0.296523i | ||||
\(521\) | −1.67092e8 | − | 3.81377e7i | −1.18153 | − | 0.269676i | −0.413748 | − | 0.910391i | \(-0.635781\pi\) |
−0.767778 | + | 0.640716i | \(0.778638\pi\) | |||||||
\(522\) | −8.09117e7 | −0.568853 | ||||||||
\(523\) | − | 1.42743e8i | − | 0.997812i | −0.866656 | − | 0.498906i | \(-0.833735\pi\) | ||
0.866656 | − | 0.498906i | \(-0.166265\pi\) | |||||||
\(524\) | −1.03129e8 | − | 2.35386e7i | −0.716785 | − | 0.163602i | ||||
\(525\) | 1.92264e7 | + | 2.41091e7i | 0.132868 | + | 0.166611i | ||||
\(526\) | −1.80419e7 | − | 7.90468e7i | −0.123972 | − | 0.543159i | ||||
\(527\) | −1.50401e8 | − | 1.88596e8i | −1.02758 | − | 1.28855i | ||||
\(528\) | 3.87577e7 | + | 8.04811e7i | 0.263303 | + | 0.546754i | ||||
\(529\) | 3.23477e7 | − | 1.41725e8i | 0.218513 | − | 0.957367i | ||||
\(530\) | −6.43463e7 | + | 3.09875e7i | −0.432211 | + | 0.208142i | ||||
\(531\) | −2.75638e8 | + | 3.45639e8i | −1.84101 | + | 2.30855i | ||||
\(532\) | −4.89278e6 | − | 2.14367e7i | −0.0324953 | − | 0.142371i | ||||
\(533\) | 1.15193e7 | + | 5.04695e7i | 0.0760756 | + | 0.333309i | ||||
\(534\) | −5.88442e7 | + | 1.22191e8i | −0.386438 | + | 0.802448i | ||||
\(535\) | −1.01302e8 | − | 8.07859e7i | −0.661543 | − | 0.527563i | ||||
\(536\) | 8.77288e7 | − | 6.99614e7i | 0.569702 | − | 0.454322i | ||||
\(537\) | 9.01191e7 | + | 4.33991e7i | 0.581961 | + | 0.280258i | ||||
\(538\) | 1.61536e7 | − | 3.35433e7i | 0.103734 | − | 0.215406i | ||||
\(539\) | −4.03673e7 | − | 5.06190e7i | −0.257788 | − | 0.323256i | ||||
\(540\) | −8.68415e7 | + | 1.08896e8i | −0.551501 | + | 0.691560i | ||||
\(541\) | −5.90872e7 | − | 2.84549e7i | −0.373166 | − | 0.179707i | 0.237895 | − | 0.971291i | \(-0.423543\pi\) |
−0.611061 | + | 0.791584i | \(0.709257\pi\) | |||||||
\(542\) | −7.36614e7 | + | 1.68127e7i | −0.462639 | + | 0.105594i | ||||
\(543\) | 7.46626e6 | − | 1.70412e6i | 0.0466341 | − | 0.0106439i | ||||
\(544\) | 1.29074e8 | + | 1.02933e8i | 0.801755 | + | 0.639379i | ||||
\(545\) | 4.33453e7 | + | 9.00075e7i | 0.267764 | + | 0.556018i | ||||
\(546\) | −2.18666e7 | − | 4.99091e6i | −0.134339 | − | 0.0306621i | ||||
\(547\) | −1.90258e8 | + | 9.16234e7i | −1.16247 | + | 0.559815i | −0.912756 | − | 0.408506i | \(-0.866050\pi\) |
−0.249711 | + | 0.968320i | \(0.580336\pi\) | |||||||
\(548\) | −1.71490e8 | + | 1.36759e8i | −1.04207 | + | 0.831026i | ||||
\(549\) | 3.32291e8 | − | 7.58432e7i | 2.00817 | − | 0.458352i | ||||
\(550\) | 6.20640e6 | − | 4.94944e6i | 0.0373037 | − | 0.0297487i | ||||
\(551\) | −1.42347e7 | + | 6.23663e7i | −0.0850930 | + | 0.372817i | ||||
\(552\) | 2.19503e7 | 0.130504 | ||||||||
\(553\) | 1.08403e8i | 0.641009i | ||||||||
\(554\) | 6.52269e6 | − | 2.85778e7i | 0.0383617 | − | 0.168073i | ||||
\(555\) | 2.74163e8 | + | 2.18638e8i | 1.60372 | + | 1.27893i | ||||
\(556\) | −1.26354e8 | − | 6.08488e7i | −0.735130 | − | 0.354020i | ||||
\(557\) | 3.96140e7 | − | 1.90771e7i | 0.229236 | − | 0.110394i | −0.315740 | − | 0.948846i | \(-0.602253\pi\) |
0.544977 | + | 0.838451i | \(0.316539\pi\) | |||||||
\(558\) | 1.15802e8i | 0.666523i | ||||||||
\(559\) | −7.18203e7 | + | 6.42188e7i | −0.411161 | + | 0.367643i | ||||
\(560\) | 6.77347e7 | 0.385698 | ||||||||
\(561\) | −8.14814e7 | − | 1.69198e8i | −0.461498 | − | 0.958310i | ||||
\(562\) | −8.59337e6 | + | 1.78443e7i | −0.0484122 | + | 0.100529i | ||||
\(563\) | −9.72526e7 | + | 1.21951e8i | −0.544974 | + | 0.683376i | −0.975701 | − | 0.219106i | \(-0.929686\pi\) |
0.430727 | + | 0.902482i | \(0.358257\pi\) | |||||||
\(564\) | 2.75549e8 | + | 6.28922e7i | 1.53589 | + | 0.350557i | ||||
\(565\) | 1.33888e8 | 0.742329 | ||||||||
\(566\) | 272251.i | 0.00150148i | ||||||||
\(567\) | 1.32332e7 | + | 3.02040e6i | 0.0725967 | + | 0.0165697i | ||||
\(568\) | −2.26492e7 | − | 2.84012e7i | −0.123597 | − | 0.154986i | ||||
\(569\) | −2.46653e6 | − | 1.08066e7i | −0.0133890 | − | 0.0586612i | 0.967792 | − | 0.251751i | \(-0.0810063\pi\) |
−0.981181 | + | 0.193090i | \(0.938149\pi\) | |||||||
\(570\) | −2.23215e7 | − | 2.79903e7i | −0.120531 | − | 0.151141i | ||||
\(571\) | 7.10753e7 | + | 1.47589e8i | 0.381777 | + | 0.792769i | 0.999977 | + | 0.00674783i | \(0.00214792\pi\) |
−0.618200 | + | 0.786021i | \(0.712138\pi\) | |||||||
\(572\) | 1.11703e7 | − | 4.89405e7i | 0.0596868 | − | 0.261505i | ||||
\(573\) | 1.33102e8 | − | 6.40987e7i | 0.707492 | − | 0.340710i | ||||
\(574\) | −1.14402e7 | + | 1.43456e7i | −0.0604921 | + | 0.0758547i | ||||
\(575\) | 1.55547e6 | + | 6.81496e6i | 0.00818198 | + | 0.0358476i | ||||
\(576\) | 2.85056e7 | + | 1.24891e8i | 0.149164 | + | 0.653528i | ||||
\(577\) | −1.38774e7 | + | 2.88167e7i | −0.0722405 | + | 0.150009i | −0.933962 | − | 0.357373i | \(-0.883672\pi\) |
0.861721 | + | 0.507382i | \(0.169387\pi\) | |||||||
\(578\) | −2.47472e7 | − | 1.97352e7i | −0.128157 | − | 0.102202i | ||||
\(579\) | 3.90180e8 | − | 3.11158e8i | 2.01015 | − | 1.60304i | ||||
\(580\) | −2.03667e8 | − | 9.80810e7i | −1.04385 | − | 0.502691i | ||||
\(581\) | −2.29828e7 | + | 4.77244e7i | −0.117186 | + | 0.243339i | ||||
\(582\) | −1.16266e8 | − | 1.45792e8i | −0.589769 | − | 0.739547i | ||||
\(583\) | 8.86539e7 | − | 1.11168e8i | 0.447396 | − | 0.561017i | ||||
\(584\) | 1.00914e8 | + | 4.85978e7i | 0.506657 | + | 0.243993i | ||||
\(585\) | 1.88033e8 | − | 4.29172e7i | 0.939216 | − | 0.214370i | ||||
\(586\) | 5.17156e7 | − | 1.18037e7i | 0.256997 | − | 0.0586580i | ||||
\(587\) | 1.94939e7 | + | 1.55458e7i | 0.0963793 | + | 0.0768599i | 0.670494 | − | 0.741915i | \(-0.266082\pi\) |
−0.574115 | + | 0.818775i | \(0.694654\pi\) | |||||||
\(588\) | −9.62747e7 | − | 1.99916e8i | −0.473566 | − | 0.983369i | ||||
\(589\) | 8.92599e7 | + | 2.03730e7i | 0.436828 | + | 0.0997031i | ||||
\(590\) | 1.27994e8 | − | 6.16389e7i | 0.623211 | − | 0.300122i | ||||
\(591\) | −3.79743e8 | + | 3.02835e8i | −1.83962 | + | 1.46704i | ||||
\(592\) | 1.61491e8 | − | 3.68593e7i | 0.778365 | − | 0.177657i | ||||
\(593\) | 5.67469e7 | − | 4.52541e7i | 0.272131 | − | 0.217017i | −0.477910 | − | 0.878409i | \(-0.658605\pi\) |
0.750041 | + | 0.661392i | \(0.230034\pi\) | |||||||
\(594\) | −7.09732e6 | + | 3.10954e7i | −0.0338638 | + | 0.148367i | ||||
\(595\) | −1.42401e8 | −0.676023 | ||||||||
\(596\) | 1.48019e8i | 0.699165i | ||||||||
\(597\) | 6.84108e7 | − | 2.99727e8i | 0.321515 | − | 1.40865i | ||||
\(598\) | −3.97506e6 | − | 3.17001e6i | −0.0185883 | − | 0.0148237i | ||||
\(599\) | −6.10598e7 | − | 2.94048e7i | −0.284102 | − | 0.136816i | 0.286406 | − | 0.958108i | \(-0.407539\pi\) |
−0.570508 | + | 0.821292i | \(0.693254\pi\) | |||||||
\(600\) | 5.18429e7 | − | 2.49662e7i | 0.240014 | − | 0.115584i | ||||
\(601\) | 3.01079e8i | 1.38694i | 0.720487 | + | 0.693469i | \(0.243918\pi\) | ||||
−0.720487 | + | 0.693469i | \(0.756082\pi\) | |||||||
\(602\) | −3.36679e7 | − | 5.71067e6i | −0.154321 | − | 0.0261757i | ||||
\(603\) | −4.05821e8 | −1.85090 | ||||||||
\(604\) | −1.03796e8 | − | 2.15534e8i | −0.471053 | − | 0.978151i | ||||
\(605\) | 7.65599e7 | − | 1.58978e8i | 0.345728 | − | 0.717913i | ||||
\(606\) | −2.51962e7 | + | 3.15951e7i | −0.113219 | + | 0.141972i | ||||
\(607\) | 6.61479e7 | + | 1.50978e7i | 0.295767 | + | 0.0675070i | 0.367830 | − | 0.929893i | \(-0.380101\pi\) |
−0.0720624 | + | 0.997400i | \(0.522958\pi\) | |||||||
\(608\) | −6.26598e7 | −0.278791 | ||||||||
\(609\) | − | 2.01085e8i | − | 0.890282i | ||||||
\(610\) | −1.06780e8 | − | 2.43718e7i | −0.470435 | − | 0.107374i | ||||
\(611\) | −8.63294e7 | − | 1.08254e8i | −0.378473 | − | 0.474591i | ||||
\(612\) | −8.69978e7 | − | 3.81162e8i | −0.379537 | − | 1.66286i | ||||
\(613\) | 2.29564e8 | + | 2.87864e8i | 0.996604 | + | 1.24970i | 0.968219 | + | 0.250105i | \(0.0804652\pi\) |
0.0283857 | + | 0.999597i | \(0.490963\pi\) | |||||||
\(614\) | 2.73178e7 | + | 5.67260e7i | 0.118016 | + | 0.245063i | ||||
\(615\) | 5.77982e7 | − | 2.53231e8i | 0.248479 | − | 1.08866i | ||||
\(616\) | 3.39054e7 | − | 1.63280e7i | 0.145053 | − | 0.0698538i | ||||
\(617\) | −1.55524e8 | + | 1.95020e8i | −0.662126 | + | 0.830280i | −0.993573 | − | 0.113194i | \(-0.963892\pi\) |
0.331447 | + | 0.943474i | \(0.392463\pi\) | |||||||
\(618\) | −1.05476e7 | − | 4.62120e7i | −0.0446877 | − | 0.195789i | ||||
\(619\) | 4.25153e7 | + | 1.86272e8i | 0.179256 | + | 0.785371i | 0.981975 | + | 0.189013i | \(0.0605289\pi\) |
−0.802719 | + | 0.596358i | \(0.796614\pi\) | |||||||
\(620\) | −1.40376e8 | + | 2.91493e8i | −0.589001 | + | 1.22307i | ||||
\(621\) | −2.19584e7 | − | 1.75113e7i | −0.0916909 | − | 0.0731211i | ||||
\(622\) | 4.91207e7 | − | 3.91725e7i | 0.204124 | − | 0.162783i | ||||
\(623\) | −1.84469e8 | − | 8.88354e7i | −0.762884 | − | 0.367385i | ||||
\(624\) | 6.50729e7 | − | 1.35125e8i | 0.267822 | − | 0.556138i | ||||
\(625\) | −1.82497e8 | − | 2.28844e8i | −0.747507 | − | 0.937344i | ||||
\(626\) | −4.01782e7 | + | 5.03819e7i | −0.163782 | + | 0.205377i | ||||
\(627\) | 6.42182e7 | + | 3.09259e7i | 0.260529 | + | 0.125464i | ||||
\(628\) | 1.01843e8 | − | 2.32450e7i | 0.411199 | − | 0.0938535i | ||||
\(629\) | −3.39507e8 | + | 7.74903e7i | −1.36426 | + | 0.311383i | ||||
\(630\) | 5.34469e7 | + | 4.26225e7i | 0.213748 | + | 0.170458i | ||||
\(631\) | −1.07889e8 | − | 2.24034e8i | −0.429427 | − | 0.891715i | −0.997629 | − | 0.0688254i | \(-0.978075\pi\) |
0.568202 | − | 0.822889i | \(-0.307639\pi\) | |||||||
\(632\) | 1.97207e8 | + | 4.50113e7i | 0.781218 | + | 0.178308i | ||||
\(633\) | −1.53752e8 | + | 7.40432e7i | −0.606192 | + | 0.291927i | ||||
\(634\) | 5.69066e7 | − | 4.53815e7i | 0.223303 | − | 0.178078i | ||||
\(635\) | −5.89410e7 | + | 1.34529e7i | −0.230195 | + | 0.0525406i | ||||
\(636\) | 3.80996e8 | − | 3.03834e8i | 1.48098 | − | 1.18104i | ||||
\(637\) | −2.41888e7 | + | 1.05978e8i | −0.0935826 | + | 0.410012i | ||||
\(638\) | −5.17651e7 | −0.199331 | ||||||||
\(639\) | 1.31380e8i | 0.503532i | ||||||||
\(640\) | 6.40986e7 | − | 2.80834e8i | 0.244517 | − | 1.07130i | ||||
\(641\) | 3.97450e8 | + | 3.16956e8i | 1.50907 | + | 1.20344i | 0.917850 | + | 0.396927i | \(0.129923\pi\) |
0.591216 | + | 0.806513i | \(0.298648\pi\) | |||||||
\(642\) | −9.16179e7 | − | 4.41209e7i | −0.346239 | − | 0.166740i | ||||
\(643\) | −3.87635e7 | + | 1.86675e7i | −0.145811 | + | 0.0702188i | −0.505366 | − | 0.862905i | \(-0.668643\pi\) |
0.359555 | + | 0.933124i | \(0.382928\pi\) | |||||||
\(644\) | 1.56678e7i | 0.0586612i | ||||||||
\(645\) | 4.64477e8 | − | 1.33955e8i | 1.73095 | − | 0.499205i | ||||
\(646\) | 3.55529e7 | 0.131879 | ||||||||
\(647\) | −1.46519e8 | − | 3.04250e8i | −0.540981 | − | 1.12336i | −0.974949 | − | 0.222429i | \(-0.928601\pi\) |
0.433968 | − | 0.900928i | \(-0.357113\pi\) | |||||||
\(648\) | 1.09895e7 | − | 2.28199e7i | 0.0403881 | − | 0.0838667i | ||||
\(649\) | −1.76346e8 | + | 2.21131e8i | −0.645106 | + | 0.808938i | ||||
\(650\) | −1.29940e7 | − | 2.96579e6i | −0.0473153 | − | 0.0107994i | ||||
\(651\) | −2.87797e8 | −1.04314 | ||||||||
\(652\) | 3.88083e8i | 1.40017i | ||||||||
\(653\) | 2.72619e8 | + | 6.22234e7i | 0.979075 | + | 0.223468i | 0.681972 | − | 0.731378i | \(-0.261122\pi\) |
0.297103 | + | 0.954845i | \(0.403980\pi\) | |||||||
\(654\) | 4.88835e7 | + | 6.12980e7i | 0.174755 | + | 0.219136i | ||||
\(655\) | −5.78592e7 | − | 2.53498e8i | −0.205896 | − | 0.902090i | ||||
\(656\) | −7.64985e7 | − | 9.59261e7i | −0.270983 | − | 0.339802i | ||||
\(657\) | −1.75761e8 | − | 3.64971e8i | −0.619763 | − | 1.28695i | ||||
\(658\) | 1.09207e7 | − | 4.78466e7i | 0.0383329 | − | 0.167947i | ||||
\(659\) | 4.11363e8 | − | 1.98102e8i | 1.43737 | − | 0.692202i | 0.457019 | − | 0.889457i | \(-0.348917\pi\) |
0.980352 | + | 0.197255i | \(0.0632027\pi\) | |||||||
\(660\) | −1.57041e8 | + | 1.96923e8i | −0.546236 | + | 0.684958i | ||||
\(661\) | 4.66643e7 | + | 2.04450e8i | 0.161577 | + | 0.707916i | 0.989193 | + | 0.146621i | \(0.0468397\pi\) |
−0.827616 | + | 0.561295i | \(0.810303\pi\) | |||||||
\(662\) | −2.00396e7 | − | 8.77993e7i | −0.0690742 | − | 0.302634i | ||||
\(663\) | −1.36805e8 | + | 2.84078e8i | −0.469419 | + | 0.974758i | ||||
\(664\) | 7.72778e7 | + | 6.16270e7i | 0.263967 | + | 0.210507i | ||||
\(665\) | 4.22561e7 | − | 3.36981e7i | 0.143689 | − | 0.114588i | ||||
\(666\) | 1.50620e8 | + | 7.25349e7i | 0.509872 | + | 0.245541i | ||||
\(667\) | 1.97777e7 | − | 4.10687e7i | 0.0666496 | − | 0.138399i | ||||
\(668\) | 6.07639e7 | + | 7.61955e7i | 0.203853 | + | 0.255623i | ||||
\(669\) | 1.98848e8 | − | 2.49347e8i | 0.664113 | − | 0.832771i | ||||
\(670\) | 1.17494e8 | + | 5.65821e7i | 0.390653 | + | 0.188129i | ||||
\(671\) | 2.12591e8 | − | 4.85224e7i | 0.703683 | − | 0.160611i | ||||
\(672\) | 1.92028e8 | − | 4.38290e7i | 0.632784 | − | 0.144429i | ||||
\(673\) | 2.47633e8 | + | 1.97481e8i | 0.812389 | + | 0.647858i | 0.938932 | − | 0.344103i | \(-0.111817\pi\) |
−0.126543 | + | 0.991961i | \(0.540388\pi\) | |||||||
\(674\) | 2.86889e7 | + | 5.95731e7i | 0.0936988 | + | 0.194567i | ||||
\(675\) | −7.17793e7 | − | 1.63832e7i | −0.233393 | − | 0.0532704i | ||||
\(676\) | 1.73677e8 | − | 8.36385e7i | 0.562215 | − | 0.270749i | ||||
\(677\) | −7.10731e7 | + | 5.66789e7i | −0.229055 | + | 0.182665i | −0.731291 | − | 0.682065i | \(-0.761082\pi\) |
0.502237 | + | 0.864730i | \(0.332511\pi\) | |||||||
\(678\) | 1.02442e8 | − | 2.33817e7i | 0.328692 | − | 0.0750219i | ||||
\(679\) | 2.20098e8 | − | 1.75523e8i | 0.703084 | − | 0.560691i | ||||
\(680\) | −5.91281e7 | + | 2.59057e8i | −0.188047 | + | 0.823890i | ||||
\(681\) | 1.77609e8 | 0.562373 | ||||||||
\(682\) | 7.40873e7i | 0.233556i | ||||||||
\(683\) | 7.91327e7 | − | 3.46703e8i | 0.248367 | − | 1.08817i | −0.684802 | − | 0.728729i | \(-0.740111\pi\) |
0.933169 | − | 0.359438i | \(-0.117032\pi\) | |||||||
\(684\) | 1.16015e8 | + | 9.25189e7i | 0.362532 | + | 0.289109i | ||||
\(685\) | −4.85767e8 | − | 2.33933e8i | −1.51132 | − | 0.727813i | ||||
\(686\) | −8.02406e7 | + | 3.86418e7i | −0.248555 | + | 0.119698i | ||||
\(687\) | 8.95769e8i | 2.76265i | ||||||||
\(688\) | 8.73249e7 | − | 2.10989e8i | 0.268147 | − | 0.647879i | ||||
\(689\) | −2.38732e8 | −0.729883 | ||||||||
\(690\) | 1.10686e7 | + | 2.29841e7i | 0.0336933 | + | 0.0699649i | ||||
\(691\) | −7.05184e7 | + | 1.46433e8i | −0.213732 | + | 0.443818i | −0.980079 | − | 0.198608i | \(-0.936358\pi\) |
0.766347 | + | 0.642426i | \(0.222072\pi\) | |||||||
\(692\) | −3.17636e8 | + | 3.98303e8i | −0.958544 | + | 1.20198i | ||||
\(693\) | −1.32690e8 | − | 3.02855e7i | −0.398692 | − | 0.0909988i | ||||
\(694\) | 1.65440e8 | 0.494952 | ||||||||
\(695\) | − | 3.44723e8i | − | 1.02687i | ||||||
\(696\) | −3.65816e8 | − | 8.34952e7i | −1.08501 | − | 0.247647i | ||||
\(697\) | 1.60825e8 | + | 2.01668e8i | 0.474958 | + | 0.595579i | ||||
\(698\) | −2.19535e7 | − | 9.61847e7i | −0.0645562 | − | 0.282839i | ||||
\(699\) | −5.61575e8 | − | 7.04193e8i | −1.64428 | − | 2.06187i | ||||
\(700\) | 1.78205e7 | + | 3.70047e7i | 0.0519549 | + | 0.107885i | ||||
\(701\) | −7.31303e7 | + | 3.20405e8i | −0.212297 | + | 0.930133i | 0.750705 | + | 0.660638i | \(0.229714\pi\) |
−0.963002 | + | 0.269495i | \(0.913143\pi\) | |||||||
\(702\) | 4.82477e7 | − | 2.32348e7i | 0.139465 | − | 0.0671627i | ||||
\(703\) | 8.24080e7 | − | 1.03336e8i | 0.237194 | − | 0.297432i | ||||
\(704\) | 1.82371e7 | + | 7.99020e7i | 0.0522683 | + | 0.229002i | ||||
\(705\) | 1.54592e8 | + | 6.77313e8i | 0.441185 | + | 1.93296i | ||||
\(706\) | 1.09958e7 | − | 2.28330e7i | 0.0312473 | − | 0.0648856i | ||||
\(707\) | −4.76981e7 | − | 3.80380e7i | −0.134972 | − | 0.107636i | ||||
\(708\) | −7.57858e8 | + | 6.04372e8i | −2.13544 | + | 1.70296i | ||||
\(709\) | 4.34945e7 | + | 2.09458e7i | 0.122038 | + | 0.0587704i | 0.493907 | − | 0.869515i | \(-0.335568\pi\) |
−0.371869 | + | 0.928285i | \(0.621283\pi\) | |||||||
\(710\) | 1.83178e7 | − | 3.80374e7i | 0.0511799 | − | 0.106276i | ||||
\(711\) | −4.56127e8 | − | 5.71965e8i | −1.26904 | − | 1.59133i | ||||
\(712\) | −2.38206e8 | + | 2.98701e8i | −0.659953 | + | 0.827555i | ||||
\(713\) | −5.87784e7 | − | 2.83062e7i | −0.162162 | − | 0.0780931i | ||||
\(714\) | −1.08955e8 | + | 2.48684e7i | −0.299333 | + | 0.0683208i | ||||
\(715\) | 1.20298e8 | − | 2.74573e7i | 0.329110 | − | 0.0751172i | ||||
\(716\) | 1.04159e8 | + | 8.30644e7i | 0.283766 | + | 0.226296i | ||||
\(717\) | 2.81773e7 | + | 5.85108e7i | 0.0764438 | + | 0.158737i | ||||
\(718\) | 7.44103e7 | + | 1.69837e7i | 0.201029 | + | 0.0458837i | ||||
\(719\) | −2.64429e8 | + | 1.27342e8i | −0.711415 | + | 0.342599i | −0.754344 | − | 0.656479i | \(-0.772045\pi\) |
0.0429297 | + | 0.999078i | \(0.486331\pi\) | |||||||
\(720\) | −3.57389e8 | + | 2.85008e8i | −0.957511 | + | 0.763589i | ||||
\(721\) | 6.97649e7 | − | 1.59234e7i | 0.186136 | − | 0.0424844i | ||||
\(722\) | 8.39581e7 | − | 6.69544e7i | 0.223075 | − | 0.177896i | ||||
\(723\) | −4.05668e7 | + | 1.77735e8i | −0.107339 | + | 0.470281i | ||||
\(724\) | 1.02002e7 | 0.0268778 | ||||||||
\(725\) | − | 1.19492e8i | − | 0.313564i | ||||||
\(726\) | 3.08151e7 | − | 1.35010e8i | 0.0805292 | − | 0.352821i | ||||
\(727\) | −1.83616e8 | − | 1.46429e8i | −0.477868 | − | 0.381087i | 0.354726 | − | 0.934970i | \(-0.384574\pi\) |
−0.832595 | + | 0.553883i | \(0.813146\pi\) | |||||||
\(728\) | −5.69261e7 | − | 2.74142e7i | −0.147543 | − | 0.0710527i | ||||
\(729\) | −5.69351e8 | + | 2.74185e8i | −1.46959 | + | 0.707720i | ||||
\(730\) | 1.30173e8i | 0.334619i | ||||||||
\(731\) | −1.83586e8 | + | 4.43567e8i | −0.469988 | + | 1.13555i | ||||
\(732\) | 7.47327e8 | 1.90536 | ||||||||
\(733\) | 4.91867e7 | + | 1.02137e8i | 0.124892 | + | 0.259342i | 0.954035 | − | 0.299696i | \(-0.0968851\pi\) |
−0.829143 | + | 0.559037i | \(0.811171\pi\) | |||||||
\(734\) | −5.34521e7 | + | 1.10994e8i | −0.135169 | + | 0.280681i | ||||
\(735\) | 3.40063e8 | − | 4.26425e8i | 0.856441 | − | 1.07394i | ||||
\(736\) | 4.35297e7 | + | 9.93537e6i | 0.109182 | + | 0.0249202i | ||||
\(737\) | −2.59633e8 | −0.648572 | ||||||||
\(738\) | − | 1.23829e8i | − | 0.308072i | ||||||
\(739\) | 4.26101e8 | + | 9.72547e7i | 1.05579 | + | 0.240978i | 0.714974 | − | 0.699151i | \(-0.246438\pi\) |
0.340819 | + | 0.940129i | \(0.389296\pi\) | |||||||
\(740\) | 2.91208e8 | + | 3.65164e8i | 0.718635 | + | 0.901140i | ||||
\(741\) | −2.66294e7 | − | 1.16671e8i | −0.0654497 | − | 0.286754i | ||||
\(742\) | −5.27581e7 | − | 6.61566e7i | −0.129145 | − | 0.161943i | ||||
\(743\) | −3.70903e7 | − | 7.70188e7i | −0.0904261 | − | 0.187772i | 0.850851 | − | 0.525407i | \(-0.176087\pi\) |
−0.941277 | + | 0.337636i | \(0.890373\pi\) | |||||||
\(744\) | −1.19500e8 | + | 5.23563e8i | −0.290167 | + | 1.27131i | ||||
\(745\) | −3.27808e8 | + | 1.57864e8i | −0.792776 | + | 0.381781i | ||||
\(746\) | −8.96601e7 | + | 1.12430e8i | −0.215965 | + | 0.270811i | ||||
\(747\) | −7.95459e7 | − | 3.48513e8i | −0.190834 | − | 0.836099i | ||||
\(748\) | −5.56589e7 | − | 2.43858e8i | −0.132993 | − | 0.582682i | ||||
\(749\) | 6.66079e7 | − | 1.38313e8i | 0.158519 | − | 0.329168i | ||||
\(750\) | −1.38558e8 | − | 1.10497e8i | −0.328435 | − | 0.261918i | ||||
\(751\) | 5.54273e8 | − | 4.42018e8i | 1.30859 | − | 1.04357i | 0.313002 | − | 0.949752i | \(-0.398665\pi\) |
0.995590 | − | 0.0938150i | \(-0.0299062\pi\) | |||||||
\(752\) | 2.95670e8 | + | 1.42387e8i | 0.695270 | + | 0.334824i | ||||
\(753\) | 4.22617e8 | − | 8.77573e8i | 0.989833 | − | 2.05541i | ||||
\(754\) | 5.41888e7 | + | 6.79506e7i | 0.126414 | + | 0.158518i | ||||
\(755\) | 3.66629e8 | − | 4.59739e8i | 0.851896 | − | 1.06824i | ||||
\(756\) | −1.48681e8 | − | 7.16008e7i | −0.344103 | − | 0.165711i | ||||
\(757\) | −5.23916e6 | + | 1.19580e6i | −0.0120774 | + | 0.00275659i | −0.228555 | − | 0.973531i | \(-0.573400\pi\) |
0.216478 | + | 0.976288i | \(0.430543\pi\) | |||||||
\(758\) | 3.53191e6 | − | 806135.i | 0.00810964 | − | 0.00185097i | ||||
\(759\) | −3.97087e7 | − | 3.16666e7i | −0.0908156 | − | 0.0724230i | ||||
\(760\) | −4.37583e7 | − | 9.08650e7i | −0.0996826 | − | 0.206993i | ||||
\(761\) | −3.27102e8 | − | 7.46590e7i | −0.742215 | − | 0.169406i | −0.165338 | − | 0.986237i | \(-0.552872\pi\) |
−0.576877 | + | 0.816831i | \(0.695729\pi\) | |||||||
\(762\) | −4.27484e7 | + | 2.05865e7i | −0.0966172 | + | 0.0465284i | ||||
\(763\) | −9.25398e7 | + | 7.37980e7i | −0.208331 | + | 0.166139i | ||||
\(764\) | 1.91835e8 | − | 4.37850e7i | 0.430177 | − | 0.0981850i | ||||
\(765\) | 7.51349e8 | − | 5.99181e8i | 1.67825 | − | 1.33836i | ||||
\(766\) | −1.85150e7 | + | 8.11194e7i | −0.0411943 | + | 0.180484i | ||||
\(767\) | 4.74874e8 | 1.05243 | ||||||||
\(768\) | 8.71194e7i | 0.192323i | ||||||||
\(769\) | −1.94230e8 | + | 8.50979e8i | −0.427108 | + | 1.87128i | 0.0604133 | + | 0.998173i | \(0.480758\pi\) |
−0.487522 | + | 0.873111i | \(0.662099\pi\) | |||||||
\(770\) | 3.41939e7 | + | 2.72687e7i | 0.0748991 | + | 0.0597301i | ||||
\(771\) | 5.90040e6 | + | 2.84148e6i | 0.0128741 | + | 0.00619986i | ||||
\(772\) | 5.98881e8 | − | 2.88406e8i | 1.30163 | − | 0.626833i | ||||
\(773\) | − | 5.86512e8i | − | 1.26981i | −0.772591 | − | 0.634905i | \(-0.781039\pi\) | ||
0.772591 | − | 0.634905i | \(-0.218961\pi\) | |||||||
\(774\) | 2.01671e8 | − | 1.11533e8i | 0.434930 | − | 0.240537i | ||||
\(775\) | −1.71020e8 | −0.367402 | ||||||||
\(776\) | −2.27923e8 | − | 4.73287e8i | −0.487756 | − | 1.01284i | ||||
\(777\) | −1.80267e8 | + | 3.74327e8i | −0.384284 | + | 0.797974i | ||||
\(778\) | 4.63593e7 | − | 5.81327e7i | 0.0984459 | − | 0.123447i | ||||
\(779\) | −9.54466e7 | − | 2.17851e7i | −0.201906 | − | 0.0460836i | ||||
\(780\) | 4.22888e8 | 0.891131 | ||||||||
\(781\) | 8.40534e7i | 0.176442i | ||||||||
\(782\) | −2.46985e7 | − | 5.63728e6i | −0.0516477 | − | 0.0117883i | ||||
\(783\) | 2.99341e8 | + | 3.75362e8i | 0.623564 | + | 0.781925i | ||||
\(784\) | −5.73299e7 | − | 2.51179e8i | −0.118969 | − | 0.521236i | ||||
\(785\) | 1.60095e8 | + | 2.00753e8i | 0.330956 | + | 0.415006i | ||||
\(786\) | −8.85399e7 | − | 1.83855e8i | −0.182336 | − | 0.378624i | ||||
\(787\) | −9.44838e7 | + | 4.13960e8i | −0.193835 | + | 0.849248i | 0.780681 | + | 0.624930i | \(0.214873\pi\) |
−0.974516 | + | 0.224318i | \(0.927985\pi\) | |||||||
\(788\) | −5.82861e8 | + | 2.80691e8i | −1.19120 | + | 0.573654i | ||||
\(789\) | −8.47863e8 | + | 1.06319e9i | −1.72621 | + | 2.16460i | ||||
\(790\) | 5.23116e7 | + | 2.29192e8i | 0.106100 | + | 0.464856i | ||||
\(791\) | 3.52987e7 | + | 1.54654e8i | 0.0713230 | + | 0.312486i | ||||
\(792\) | −1.10192e8 | + | 2.28815e8i | −0.221806 | + | 0.460585i | ||||
\(793\) | −2.86238e8 | − | 2.28267e8i | −0.573995 | − | 0.457746i | ||||
\(794\) | −1.25671e8 | + | 1.00220e8i | −0.251059 | + | 0.200213i | ||||
\(795\) | 1.07922e9 | + | 5.19723e8i | 2.14786 | + | 1.03436i | ||||
\(796\) | 1.77667e8 | − | 3.68929e8i | 0.352263 | − | 0.731481i | ||||
\(797\) | 5.19093e7 | + | 6.50921e7i | 0.102534 | + | 0.128574i | 0.830451 | − | 0.557091i | \(-0.188083\pi\) |
−0.727917 | + | 0.685666i | \(0.759511\pi\) | |||||||
\(798\) | 2.64466e7 | − | 3.31630e7i | 0.0520428 | − | 0.0652597i | ||||
\(799\) | −6.21595e8 | − | 2.99344e8i | −1.21862 | − | 0.586855i | ||||
\(800\) | 1.14110e8 | − | 2.60449e7i | 0.222871 | − | 0.0508689i | ||||
\(801\) | 1.34711e9 | − | 3.07468e8i | 2.62122 | − | 0.598277i | ||||
\(802\) | −3.16613e7 | − | 2.52491e7i | −0.0613770 | − | 0.0489465i | ||||
\(803\) | −1.12447e8 | − | 2.33499e8i | −0.217171 | − | 0.450959i | ||||
\(804\) | −8.67505e8 | − | 1.98002e8i | −1.66918 | − | 0.380980i | ||||
\(805\) | −3.46984e7 | + | 1.67099e7i | −0.0665154 | + | 0.0320321i | ||||
\(806\) | 9.72522e7 | − | 7.75560e7i | 0.185735 | − | 0.148119i | ||||
\(807\) | −6.08769e8 | + | 1.38948e8i | −1.15833 | + | 0.264381i | ||||
\(808\) | −8.90046e7 | + | 7.09788e7i | −0.168725 | + | 0.134553i | ||||
\(809\) | 2.23868e8 | − | 9.80832e8i | 0.422812 | − | 1.85246i | −0.0928667 | − | 0.995679i | \(-0.529603\pi\) |
0.515679 | − | 0.856782i | \(-0.327540\pi\) | |||||||
\(810\) | 2.94362e7 | 0.0553894 | ||||||||
\(811\) | − | 7.50657e8i | − | 1.40728i | −0.710559 | − | 0.703638i | \(-0.751558\pi\) | ||
0.710559 | − | 0.703638i | \(-0.248442\pi\) | |||||||
\(812\) | 5.95976e7 | − | 2.61114e8i | 0.111317 | − | 0.487711i | ||||
\(813\) | 9.90752e8 | + | 7.90098e8i | 1.84371 | + | 1.47031i | ||||
\(814\) | 9.63628e7 | + | 4.64059e7i | 0.178664 | + | 0.0860399i | ||||
\(815\) | −8.59459e8 | + | 4.13894e8i | −1.58764 | + | 0.764568i | ||||
\(816\) | − | 7.47300e8i | − | 1.37539i | ||||||
\(817\) | −5.04896e7 | − | 1.75069e8i | −0.0925841 | − | 0.321027i | ||||
\(818\) | 1.16450e8 | 0.212754 | ||||||||
\(819\) | 9.91472e7 | + | 2.05881e8i | 0.180480 | + | 0.374770i | ||||
\(820\) | 1.50105e8 | − | 3.11697e8i | 0.272241 | − | 0.565315i | ||||
\(821\) | 4.36588e8 | − | 5.47464e8i | 0.788937 | − | 0.989296i | −0.210993 | − | 0.977488i | \(-0.567670\pi\) |
0.999930 | − | 0.0118085i | \(-0.00375885\pi\) | |||||||
\(822\) | −4.12529e8 | − | 9.41571e7i | −0.742744 | − | 0.169527i | ||||
\(823\) | −1.04331e9 | −1.87161 | −0.935805 | − | 0.352519i | \(-0.885325\pi\) | ||||
−0.935805 | + | 0.352519i | \(0.885325\pi\) | |||||||
\(824\) | − | 1.33529e8i | − | 0.238668i | ||||||
\(825\) | −1.29803e8 | − | 2.96266e7i | −0.231165 | − | 0.0527619i | ||||
\(826\) | 1.04944e8 | + | 1.31595e8i | 0.186216 | + | 0.233507i | ||||
\(827\) | −2.39514e7 | − | 1.04938e8i | −0.0423462 | − | 0.185531i | 0.949331 | − | 0.314277i | \(-0.101762\pi\) |
−0.991678 | + | 0.128746i | \(0.958905\pi\) | |||||||
\(828\) | −6.59257e7 | − | 8.26682e7i | −0.116135 | − | 0.145629i | ||||
\(829\) | −4.69854e8 | − | 9.75661e8i | −0.824706 | − | 1.71252i | −0.692647 | − | 0.721277i | \(-0.743556\pi\) |
−0.132059 | − | 0.991242i | \(-0.542159\pi\) | |||||||
\(830\) | −2.55617e7 | + | 1.11993e8i | −0.0447049 | + | 0.195865i | ||||
\(831\) | −4.42945e8 | + | 2.13311e8i | −0.771875 | + | 0.371716i | ||||
\(832\) | 8.57941e7 | − | 1.07582e8i | 0.148966 | − | 0.186798i | ||||
\(833\) | 1.20526e8 | + | 5.28060e8i | 0.208519 | + | 0.913584i | ||||
\(834\) | −6.02012e7 | − | 2.63759e8i | −0.103778 | − | 0.454683i | ||||
\(835\) | −1.03940e8 | + | 2.15833e8i | −0.178534 | + | 0.370730i | ||||
\(836\) | 7.42233e7 | + | 5.91911e7i | 0.127035 | + | 0.101307i | ||||
\(837\) | 5.37226e8 | − | 4.28423e8i | 0.916179 | − | 0.730628i | ||||
\(838\) | −1.04097e8 | − | 5.01307e7i | −0.176892 | − | 0.0851867i | ||||
\(839\) | 1.05647e7 | − | 2.19378e7i | 0.0178884 | − | 0.0371456i | −0.891833 | − | 0.452364i | \(-0.850581\pi\) |
0.909722 | + | 0.415219i | \(0.136295\pi\) | |||||||
\(840\) | 1.97660e8 | + | 2.47857e8i | 0.333488 | + | 0.418181i | ||||
\(841\) | −1.14959e8 | + | 1.44154e8i | −0.193266 | + | 0.242348i | ||||
\(842\) | −1.93896e8 | − | 9.33752e7i | −0.324812 | − | 0.156421i | ||||
\(843\) | 3.23853e8 | − | 7.39172e7i | 0.540586 | − | 0.123385i | ||||
\(844\) | −2.21597e8 | + | 5.05780e7i | −0.368583 | + | 0.0841268i | ||||
\(845\) | 3.70456e8 | + | 2.95429e8i | 0.613998 | + | 0.489647i | ||||
\(846\) | 1.43704e8 | + | 2.98404e8i | 0.237333 | + | 0.492826i | ||||
\(847\) | 2.03820e8 | + | 4.65206e7i | 0.335426 | + | 0.0765588i | ||||
\(848\) | 5.09787e8 | − | 2.45500e8i | 0.835990 | − | 0.402591i | ||||
\(849\) | 3.56999e6 | − | 2.84698e6i | 0.00583371 | − | 0.00465223i | ||||
\(850\) | −6.47455e7 | + | 1.47777e7i | −0.105427 | + | 0.0240631i | ||||
\(851\) | −7.36338e7 | + | 5.87210e7i | −0.119478 | + | 0.0952807i | ||||
\(852\) | −6.41010e7 | + | 2.80845e8i | −0.103645 | + | 0.454096i | ||||
\(853\) | 7.54037e8 | 1.21491 | 0.607457 | − | 0.794353i | \(-0.292190\pi\) | ||||
0.607457 | + | 0.794353i | \(0.292190\pi\) | |||||||
\(854\) | − | 1.29767e8i | − | 0.208348i | ||||||
\(855\) | −8.11640e7 | + | 3.55603e8i | −0.129857 | + | 0.568940i | ||||
\(856\) | −2.23963e8 | − | 1.78605e8i | −0.357072 | − | 0.284755i | ||||
\(857\) | 2.72207e8 | + | 1.31088e8i | 0.432470 | + | 0.208267i | 0.637437 | − | 0.770502i | \(-0.279994\pi\) |
−0.204967 | + | 0.978769i | \(0.565709\pi\) | |||||||
\(858\) | 8.72491e7 | − | 4.20169e7i | 0.138133 | − | 0.0665216i | ||||
\(859\) | 1.14581e8i | 0.180772i | 0.995907 | + | 0.0903862i | \(0.0288102\pi\) | ||||
−0.995907 | + | 0.0903862i | \(0.971190\pi\) | |||||||
\(860\) | 6.42837e8 | − | 3.62820e7i | 1.01066 | − | 0.0570422i | ||||
\(861\) | 3.07744e8 | 0.482148 | ||||||||
\(862\) | 1.00776e8 | + | 2.09264e8i | 0.157339 | + | 0.326718i | ||||
\(863\) | −7.74051e7 | + | 1.60733e8i | −0.120431 | + | 0.250077i | −0.952465 | − | 0.304647i | \(-0.901462\pi\) |
0.832035 | + | 0.554723i | \(0.187176\pi\) | |||||||
\(864\) | −2.93210e8 | + | 3.67673e8i | −0.454608 | + | 0.570060i | ||||
\(865\) | −1.22086e9 | − | 2.78653e8i | −1.88632 | − | 0.430541i | ||||
\(866\) | 2.27057e8 | 0.349608 | ||||||||
\(867\) | 5.30881e8i | 0.814592i | ||||||||
\(868\) | −3.73712e8 | − | 8.52973e7i | −0.571449 | − | 0.130430i | ||||
\(869\) | −2.91818e8 | − | 3.65928e8i | −0.444685 | − | 0.557617i | ||||
\(870\) | −9.70372e7 | − | 4.25148e8i | −0.147360 | − | 0.645627i | ||||
\(871\) | 2.71789e8 | + | 3.40813e8i | 0.411318 | + | 0.515777i | ||||
\(872\) | 9.58296e7 | + | 1.98992e8i | 0.144527 | + | 0.300114i | ||||
\(873\) | −4.22757e8 | + | 1.85222e9i | −0.635401 | + | 2.78388i | ||||
\(874\) | 8.66308e6 | − | 4.17192e6i | 0.0129759 | − | 0.00624887i | ||||
\(875\) | 1.66813e8 | − | 2.09177e8i | 0.249004 | − | 0.312241i | ||||
\(876\) | −1.97644e8 | − | 8.65936e8i | −0.294016 | − | 1.28817i | ||||
\(877\) | 1.42328e8 | + | 6.23578e8i | 0.211004 | + | 0.924468i | 0.963886 | + | 0.266313i | \(0.0858056\pi\) |
−0.752883 | + | 0.658155i | \(0.771337\pi\) | |||||||
\(878\) | 1.02781e8 | − | 2.13427e8i | 0.151855 | − | 0.315331i | ||||
\(879\) | −6.95580e8 | − | 5.54706e8i | −1.02419 | − | 0.816764i | ||||
\(880\) | −2.28648e8 | + | 1.82341e8i | −0.335521 | + | 0.267569i | ||||
\(881\) | 8.77970e8 | + | 4.22808e8i | 1.28396 | + | 0.618323i | 0.946405 | − | 0.322982i | \(-0.104685\pi\) |
0.337557 | + | 0.941305i | \(0.390400\pi\) | |||||||
\(882\) | 1.12819e8 | − | 2.34271e8i | 0.164428 | − | 0.341438i | ||||
\(883\) | 1.85795e8 | + | 2.32980e8i | 0.269869 | + | 0.338405i | 0.898237 | − | 0.439511i | \(-0.144848\pi\) |
−0.628368 | + | 0.777916i | \(0.716277\pi\) | |||||||
\(884\) | −2.61840e8 | + | 3.28337e8i | −0.379035 | + | 0.475294i | ||||
\(885\) | −2.14672e9 | − | 1.03381e9i | −3.09703 | − | 1.49145i | ||||
\(886\) | −9.03663e7 | + | 2.06255e7i | −0.129929 | + | 0.0296554i | ||||
\(887\) | 8.76405e8 | − | 2.00034e8i | 1.25584 | − | 0.286637i | 0.457698 | − | 0.889108i | \(-0.348674\pi\) |
0.798141 | + | 0.602471i | \(0.205817\pi\) | |||||||
\(888\) | 6.06130e8 | + | 4.83373e8i | 0.865620 | + | 0.690309i | ||||
\(889\) | −3.10789e7 | − | 6.45359e7i | −0.0442344 | − | 0.0918536i | ||||
\(890\) | −4.32885e8 | − | 9.88033e7i | −0.614049 | − | 0.140153i | ||||
\(891\) | −5.28015e7 | + | 2.54278e7i | −0.0746471 | + | 0.0359481i | ||||
\(892\) | 3.32111e8 | − | 2.64849e8i | 0.467938 | − | 0.373168i | ||||
\(893\) | 2.55290e8 | − | 5.82683e7i | 0.358492 | − | 0.0818235i | ||||
\(894\) | −2.23248e8 | + | 1.78034e8i | −0.312446 | + | 0.249167i | ||||
\(895\) | −7.28698e7 | + | 3.19264e8i | −0.101643 | + | 0.445328i | ||||
\(896\) | 3.41290e8 | 0.474460 | ||||||||
\(897\) | 8.52737e7i | 0.118151i | ||||||||
\(898\) | −2.30176e7 | + | 1.00847e8i | −0.0317856 | + | 0.139262i | ||||
\(899\) | 8.71907e8 | + | 6.95323e8i | 1.20003 | + | 0.956990i | ||||
\(900\) | −2.49732e8 | − | 1.20264e8i | −0.342567 | − | 0.164972i | ||||
\(901\) | −1.07174e9 | + | 5.16122e8i | −1.46526 | + | 0.705632i | ||||
\(902\) | − | 7.92224e7i | − | 0.107951i | ||||||
\(903\) | 2.77187e8 | + | 5.01200e8i | 0.376452 | + | 0.680687i | ||||
\(904\) | 2.96005e8 | 0.400676 | ||||||||
\(905\) | 1.08786e7 | + | 2.25897e7i | 0.0146767 | + | 0.0304764i | ||||
\(906\) | 2.00233e8 | − | 4.15788e8i | 0.269247 | − | 0.559097i | ||||
\(907\) | −3.87709e8 | + | 4.86171e8i | −0.519618 | + | 0.651580i | −0.970528 | − | 0.240990i | \(-0.922528\pi\) |
0.450910 | + | 0.892569i | \(0.351099\pi\) | |||||||
\(908\) | 2.30631e8 | + | 5.26400e7i | 0.308077 | + | 0.0703166i | ||||
\(909\) | 4.11723e8 | 0.548167 | ||||||||
\(910\) | − | 7.34308e7i | − | 0.0974438i | ||||||
\(911\) | −2.85872e8 | − | 6.52484e7i | −0.378108 | − | 0.0863008i | 0.0292429 | − | 0.999572i | \(-0.490690\pi\) |
−0.407351 | + | 0.913272i | \(0.633548\pi\) | |||||||
\(912\) | 1.76843e8 | + | 2.21754e8i | 0.233133 | + | 0.292339i | ||||
\(913\) | −5.08913e7 | − | 2.22970e8i | −0.0668700 | − | 0.292977i | ||||
\(914\) | 1.70244e8 | + | 2.13480e8i | 0.222964 | + | 0.279587i | ||||
\(915\) | 7.97031e8 | + | 1.65505e9i | 1.04043 | + | 2.16047i | ||||
\(916\) | −2.65488e8 | + | 1.16318e9i | −0.345429 | + | 1.51342i | ||||
\(917\) | 2.77560e8 | − | 1.33666e8i | 0.359956 | − | 0.173346i | ||||
\(918\) | 1.66366e8 | − | 2.08616e8i | 0.215048 | − | 0.269662i | ||||
\(919\) | −3.03658e8 | − | 1.33041e9i | −0.391236 | − | 1.71412i | −0.660308 | − | 0.750995i | \(-0.729574\pi\) |
0.269072 | − | 0.963120i | \(-0.413283\pi\) | |||||||
\(920\) | 1.59912e7 | + | 7.00622e7i | 0.0205361 | + | 0.0899746i | ||||
\(921\) | 4.58174e8 | − | 9.51408e8i | 0.586478 | − | 1.21783i | ||||
\(922\) | −6.24182e7 | − | 4.97768e7i | −0.0796376 | − | 0.0635089i | ||||
\(923\) | 1.10334e8 | − | 8.79888e7i | 0.140316 | − | 0.111898i | ||||
\(924\) | −2.68868e8 | − | 1.29480e8i | −0.340818 | − | 0.164130i | ||||
\(925\) | −1.07121e8 | + | 2.22440e8i | −0.135348 | + | 0.281052i | ||||
\(926\) | 2.22829e8 | + | 2.79419e8i | 0.280633 | + | 0.351903i | ||||
\(927\) | −3.01100e8 | + | 3.77567e8i | −0.377982 | + | 0.473974i | ||||
\(928\) | −6.87658e8 | − | 3.31158e8i | −0.860455 | − | 0.414373i | ||||
\(929\) | −1.13655e9 | + | 2.59410e8i | −1.41756 | + | 0.323549i | −0.861569 | − | 0.507640i | \(-0.830518\pi\) |
−0.555990 | + | 0.831189i | \(0.687661\pi\) | |||||||
\(930\) | −6.08480e8 | + | 1.38881e8i | −0.756479 | + | 0.172661i | ||||
\(931\) | −1.60727e8 | − | 1.28175e8i | −0.199177 | − | 0.158838i | ||||
\(932\) | −5.20512e8 | − | 1.08085e9i | −0.642959 | − | 1.33512i | ||||
\(933\) | −1.02733e9 | − | 2.34481e8i | −1.26492 | − | 0.288710i | ||||
\(934\) | −2.04293e8 | + | 9.83821e7i | −0.250733 | + | 0.120747i | ||||
\(935\) | 4.80693e8 | − | 3.83340e8i | 0.588076 | − | 0.468975i | ||||
\(936\) | 4.15710e8 | − | 9.48831e7i | 0.506948 | − | 0.115707i | ||||
\(937\) | 8.81650e8 | − | 7.03092e8i | 1.07171 | − | 0.854660i | 0.0818411 | − | 0.996645i | \(-0.473920\pi\) |
0.989869 | + | 0.141985i | \(0.0453486\pi\) | |||||||
\(938\) | −3.43814e7 | + | 1.50635e8i | −0.0416595 | + | 0.182522i | ||||
\(939\) | 1.08080e9 | 1.30542 | ||||||||
\(940\) | 9.25328e8i | 1.11407i | ||||||||
\(941\) | −4.87473e7 | + | 2.13576e8i | −0.0585035 | + | 0.256320i | −0.995719 | − | 0.0924297i | \(-0.970537\pi\) |
0.937216 | + | 0.348750i | \(0.113394\pi\) | |||||||
\(942\) | 1.57553e8 | + | 1.25644e8i | 0.188484 | + | 0.150311i | ||||
\(943\) | 6.28524e7 | + | 3.02681e7i | 0.0749526 | + | 0.0360953i | ||||
\(944\) | −1.01404e9 | + | 4.88337e8i | −1.20542 | + | 0.580502i | ||||
\(945\) | − | 4.05635e8i | − | 0.480663i | ||||||
\(946\) | 1.29023e8 | − | 7.13561e7i | 0.152404 | − | 0.0842864i | ||||
\(947\) | −6.68116e8 | −0.786687 | −0.393343 | − | 0.919392i | \(-0.628682\pi\) | ||||
−0.393343 | + | 0.919392i | \(0.628682\pi\) | |||||||
\(948\) | −6.95976e8 | − | 1.44521e9i | −0.816901 | − | 1.69631i | ||||
\(949\) | −1.88795e8 | + | 3.92037e8i | −0.220898 | + | 0.458699i | ||||
\(950\) | 1.57156e7 | − | 1.97067e7i | 0.0183299 | − | 0.0229849i | ||||
\(951\) | −1.19016e9 | − | 2.71647e8i | −1.38377 | − | 0.315837i | ||||
\(952\) | −3.14825e8 | −0.364887 | ||||||||
\(953\) | − | 7.21748e8i | − | 0.833887i | −0.908932 | − | 0.416943i | \(-0.863101\pi\) | ||
0.908932 | − | 0.416943i | \(-0.136899\pi\) | |||||||
\(954\) | 5.56736e8 | + | 1.27071e8i | 0.641216 | + | 0.146353i | ||||
\(955\) | 3.01561e8 | + | 3.78145e8i | 0.346230 | + | 0.434159i | ||||
\(956\) | 1.92476e7 | + | 8.43291e7i | 0.0220294 | + | 0.0965170i | ||||
\(957\) | 5.41317e8 | + | 6.78790e8i | 0.617612 | + | 0.774461i | ||||
\(958\) | 1.81094e8 | + | 3.76045e8i | 0.205971 | + | 0.427704i | ||||
\(959\) | 1.42146e8 | − | 6.22783e8i | 0.161168 | − | 0.706124i | ||||
\(960\) | −6.22050e8 | + | 2.99563e8i | −0.703091 | + | 0.338591i | ||||
\(961\) | 4.41810e8 | − | 5.54012e8i | 0.497812 | − | 0.624237i | ||||
\(962\) | −3.99589e7 | − | 1.75071e8i | −0.0448836 | − | 0.196648i | ||||
\(963\) | 2.30537e8 | + | 1.01005e9i | 0.258144 | + | 1.13100i | ||||
\(964\) | −1.05354e8 | + | 2.18770e8i | −0.117604 | + | 0.244207i | ||||
\(965\) | 1.27742e9 | + | 1.01871e9i | 1.42152 | + | 1.13362i | ||||
\(966\) | −2.36307e7 | + | 1.88449e7i | −0.0262148 | + | 0.0209056i | ||||
\(967\) | 7.02551e8 | + | 3.38331e8i | 0.776960 | + | 0.374164i | 0.779958 | − | 0.625831i | \(-0.215240\pi\) |
−0.00299866 | + | 0.999996i | \(0.500955\pi\) | |||||||
\(968\) | 1.69262e8 | − | 3.51476e8i | 0.186609 | − | 0.387498i | ||||
\(969\) | −3.71782e8 | − | 4.66200e8i | −0.408618 | − | 0.512391i | ||||
\(970\) | 3.80646e8 | − | 4.77314e8i | 0.417067 | − | 0.522985i | ||||
\(971\) | 1.17820e9 | + | 5.67389e8i | 1.28694 | + | 0.619760i | 0.947165 | − | 0.320745i | \(-0.103933\pi\) |
0.339779 | + | 0.940505i | \(0.389648\pi\) | |||||||
\(972\) | −8.97448e8 | + | 2.04837e8i | −0.977261 | + | 0.223053i | ||||
\(973\) | 3.98189e8 | − | 9.08840e7i | 0.432265 | − | 0.0986618i | ||||
\(974\) | −1.39729e8 | − | 1.11430e8i | −0.151220 | − | 0.120594i | ||||
\(975\) | 9.69901e7 | + | 2.01402e8i | 0.104644 | + | 0.217295i | ||||
\(976\) | 8.45969e8 | + | 1.93087e8i | 0.909924 | + | 0.207684i | ||||
\(977\) | −2.54876e8 | + | 1.22742e8i | −0.273304 | + | 0.131616i | −0.565516 | − | 0.824737i | \(-0.691323\pi\) |
0.292212 | + | 0.956353i | \(0.405609\pi\) | |||||||
\(978\) | −5.85320e8 | + | 4.66777e8i | −0.625715 | + | 0.498991i | ||||
\(979\) | 8.61842e8 | − | 1.96710e8i | 0.918501 | − | 0.209642i | ||||
\(980\) | 5.67965e8 | − | 4.52937e8i | 0.603453 | − | 0.481238i | ||||
\(981\) | 1.77747e8 | − | 7.78761e8i | 0.188276 | − | 0.824892i | ||||
\(982\) | −3.81552e6 | −0.00402920 | ||||||||
\(983\) | − | 1.14064e9i | − | 1.20085i | −0.799682 | − | 0.600424i | \(-0.794998\pi\) | ||
0.799682 | − | 0.600424i | \(-0.205002\pi\) | |||||||
\(984\) | 1.27783e8 | − | 5.59852e8i | 0.134118 | − | 0.587609i | ||||
\(985\) | −1.24325e9 | − | 9.91461e8i | −1.30092 | − | 1.03745i | ||||
\(986\) | 3.90174e8 | + | 1.87898e8i | 0.407031 | + | 0.196016i | ||||
\(987\) | −7.41606e8 | + | 3.57138e8i | −0.771297 | + | 0.371437i | ||||
\(988\) | − | 1.59393e8i | − | 0.165272i | ||||||
\(989\) | 7.31613e6 | + | 1.29626e8i | 0.00756298 | + | 0.133999i | ||||
\(990\) | −2.95156e8 | −0.304191 | ||||||||
\(991\) | 2.74199e8 | + | 5.69381e8i | 0.281738 | + | 0.585035i | 0.993030 | − | 0.117862i | \(-0.0376040\pi\) |
−0.711292 | + | 0.702897i | \(0.751890\pi\) | |||||||
\(992\) | −4.73960e8 | + | 9.84189e8i | −0.485520 | + | 1.00819i | ||||
\(993\) | −9.41744e8 | + | 1.18091e9i | −0.961800 | + | 1.20606i | ||||
\(994\) | 4.87663e7 | + | 1.11306e7i | 0.0496547 | + | 0.0113334i | ||||
\(995\) | 1.00652e9 | 1.02177 | ||||||||
\(996\) | − | 7.83812e8i | − | 0.793293i | ||||||
\(997\) | −2.43968e8 | − | 5.56842e7i | −0.246177 | − | 0.0561884i | 0.0976516 | − | 0.995221i | \(-0.468867\pi\) |
−0.343829 | + | 0.939032i | \(0.611724\pi\) | |||||||
\(998\) | 3.11335e8 | + | 3.90402e8i | 0.313211 | + | 0.392754i | ||||
\(999\) | −2.20735e8 | − | 9.67102e8i | −0.221398 | − | 0.970009i |
(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 | 43.7.f.a.2.13 | ✓ | 126 | |
43.22 | odd | 14 | inner | 43.7.f.a.22.13 | yes | 126 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.7.f.a.2.13 | ✓ | 126 | 1.1 | even | 1 | trivial | |
43.7.f.a.22.13 | yes | 126 | 43.22 | odd | 14 | inner |