Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,7,Mod(3,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.3");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.h (of order \(42\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(9.89232559565\) |
Analytic rank: | \(0\) |
Dimension: | \(252\) |
Relative dimension: | \(21\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 18.13 | ||
Character | \(\chi\) | \(=\) | 43.18 |
Dual form | 43.7.h.a.12.13 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{29}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.04638 | − | 2.17283i | 0.130798 | − | 0.271604i | −0.825277 | − | 0.564729i | \(-0.808981\pi\) |
0.956074 | + | 0.293125i | \(0.0946951\pi\) | |||||||
\(3\) | −3.26146 | + | 4.78369i | −0.120795 | + | 0.177174i | −0.881874 | − | 0.471486i | \(-0.843718\pi\) |
0.761079 | + | 0.648660i | \(0.224670\pi\) | |||||||
\(4\) | 36.2771 | + | 45.4900i | 0.566829 | + | 0.710781i | ||||
\(5\) | −105.155 | − | 113.330i | −0.841239 | − | 0.906640i | 0.155459 | − | 0.987842i | \(-0.450314\pi\) |
−0.996698 | + | 0.0812024i | \(0.974124\pi\) | |||||||
\(6\) | 6.98143 | + | 12.0922i | 0.0323214 | + | 0.0559823i | ||||
\(7\) | 260.538 | + | 150.422i | 0.759587 | + | 0.438548i | 0.829147 | − | 0.559030i | \(-0.188826\pi\) |
−0.0695606 | + | 0.997578i | \(0.522160\pi\) | |||||||
\(8\) | 287.278 | − | 65.5694i | 0.561091 | − | 0.128065i | ||||
\(9\) | 254.087 | + | 647.403i | 0.348542 | + | 0.888070i | ||||
\(10\) | −356.279 | + | 109.898i | −0.356279 | + | 0.109898i | ||||
\(11\) | −671.040 | + | 841.457i | −0.504162 | + | 0.632199i | −0.967163 | − | 0.254159i | \(-0.918201\pi\) |
0.463000 | + | 0.886358i | \(0.346773\pi\) | |||||||
\(12\) | −335.926 | + | 25.1742i | −0.194402 | + | 0.0145684i | ||||
\(13\) | 608.041 | + | 187.556i | 0.276760 | + | 0.0853691i | 0.430028 | − | 0.902816i | \(-0.358504\pi\) |
−0.153268 | + | 0.988185i | \(0.548980\pi\) | |||||||
\(14\) | 599.464 | − | 408.708i | 0.218464 | − | 0.148946i | ||||
\(15\) | 885.094 | − | 133.407i | 0.262250 | − | 0.0395279i | ||||
\(16\) | −670.485 | + | 2937.59i | −0.163693 | + | 0.717184i | ||||
\(17\) | 5150.10 | + | 4778.59i | 1.04826 | + | 0.972643i | 0.999657 | − | 0.0261754i | \(-0.00833283\pi\) |
0.0486023 | + | 0.998818i | \(0.484523\pi\) | |||||||
\(18\) | 1672.57 | + | 125.342i | 0.286792 | + | 0.0214921i | ||||
\(19\) | 10285.6 | + | 4036.80i | 1.49958 | + | 0.588541i | 0.966305 | − | 0.257401i | \(-0.0828663\pi\) |
0.533274 | + | 0.845943i | \(0.320962\pi\) | |||||||
\(20\) | 1340.67 | − | 8894.77i | 0.167584 | − | 1.11185i | ||||
\(21\) | −1569.31 | + | 755.739i | −0.169453 | + | 0.0816044i | ||||
\(22\) | 1126.18 | + | 2338.54i | 0.105765 | + | 0.219623i | ||||
\(23\) | −7816.97 | − | 1178.22i | −0.642473 | − | 0.0968373i | −0.180278 | − | 0.983616i | \(-0.557700\pi\) |
−0.462195 | + | 0.886778i | \(0.652938\pi\) | |||||||
\(24\) | −623.285 | + | 1588.10i | −0.0450871 | + | 0.114880i | ||||
\(25\) | −618.484 | + | 8253.09i | −0.0395830 | + | 0.528198i | ||||
\(26\) | 1043.77 | − | 1124.92i | 0.0593861 | − | 0.0640030i | ||||
\(27\) | −8040.55 | − | 1835.20i | −0.408502 | − | 0.0932380i | ||||
\(28\) | 2608.87 | + | 17308.7i | 0.118844 | + | 0.788481i | ||||
\(29\) | −22314.7 | − | 32729.7i | −0.914951 | − | 1.34199i | −0.939594 | − | 0.342290i | \(-0.888797\pi\) |
0.0246432 | − | 0.999696i | \(-0.492155\pi\) | |||||||
\(30\) | 636.276 | − | 2062.76i | 0.0235658 | − | 0.0763984i | ||||
\(31\) | 1399.25 | + | 18671.7i | 0.0469688 | + | 0.626756i | 0.970168 | + | 0.242434i | \(0.0779457\pi\) |
−0.923199 | + | 0.384322i | \(0.874435\pi\) | |||||||
\(32\) | 20425.6 | + | 16288.9i | 0.623340 | + | 0.497097i | ||||
\(33\) | −1836.70 | − | 5954.43i | −0.0511088 | − | 0.165691i | ||||
\(34\) | 15772.1 | − | 6190.08i | 0.401284 | − | 0.157492i | ||||
\(35\) | −10349.6 | − | 45344.4i | −0.241389 | − | 1.05760i | ||||
\(36\) | −20232.8 | + | 35044.3i | −0.433660 | + | 0.751121i | ||||
\(37\) | 37950.6 | − | 21910.8i | 0.749228 | − | 0.432567i | −0.0761871 | − | 0.997094i | \(-0.524275\pi\) |
0.825415 | + | 0.564527i | \(0.190941\pi\) | |||||||
\(38\) | 19534.0 | − | 18124.9i | 0.355992 | − | 0.330312i | ||||
\(39\) | −2880.31 | + | 2296.97i | −0.0485563 | + | 0.0387224i | ||||
\(40\) | −37639.7 | − | 25662.3i | −0.588121 | − | 0.400974i | ||||
\(41\) | −92667.0 | − | 44626.1i | −1.34454 | − | 0.647496i | −0.383406 | − | 0.923580i | \(-0.625249\pi\) |
−0.961134 | + | 0.276084i | \(0.910963\pi\) | |||||||
\(42\) | 4200.64i | 0.0566979i | ||||||||
\(43\) | −61784.8 | + | 50040.0i | −0.777099 | + | 0.629379i | ||||
\(44\) | −62621.2 | −0.735129 | ||||||||
\(45\) | 46651.7 | − | 96873.3i | 0.511953 | − | 1.06308i | ||||
\(46\) | −10739.6 | + | 15752.1i | −0.110335 | + | 0.161832i | ||||
\(47\) | −18307.7 | − | 22957.1i | −0.176336 | − | 0.221118i | 0.685807 | − | 0.727783i | \(-0.259449\pi\) |
−0.862143 | + | 0.506665i | \(0.830878\pi\) | |||||||
\(48\) | −11865.7 | − | 12788.2i | −0.107293 | − | 0.115634i | ||||
\(49\) | −13571.0 | − | 23505.7i | −0.115352 | − | 0.199795i | ||||
\(50\) | 17285.4 | + | 9979.75i | 0.138283 | + | 0.0798380i | ||||
\(51\) | −39656.2 | + | 9051.26i | −0.298951 | + | 0.0682337i | ||||
\(52\) | 13526.0 | + | 34463.8i | 0.0961967 | + | 0.245105i | ||||
\(53\) | 213785. | − | 65943.9i | 1.43598 | − | 0.442942i | 0.523490 | − | 0.852032i | \(-0.324630\pi\) |
0.912494 | + | 0.409090i | \(0.134154\pi\) | |||||||
\(54\) | −12401.1 | + | 15550.5i | −0.0787550 | + | 0.0987557i | ||||
\(55\) | 165925. | − | 12434.4i | 0.997298 | − | 0.0747372i | ||||
\(56\) | 84710.1 | + | 26129.6i | 0.482360 | + | 0.148788i | ||||
\(57\) | −52857.0 | + | 36037.3i | −0.285416 | + | 0.194593i | ||||
\(58\) | −94466.0 | + | 14238.5i | −0.484163 | + | 0.0729758i | ||||
\(59\) | −28208.4 | + | 123589.i | −0.137348 | + | 0.601761i | 0.858664 | + | 0.512539i | \(0.171295\pi\) |
−0.996012 | + | 0.0892218i | \(0.971562\pi\) | |||||||
\(60\) | 38177.3 | + | 35423.3i | 0.176747 | + | 0.163997i | ||||
\(61\) | 195151. | + | 14624.6i | 0.859770 | + | 0.0644308i | 0.497315 | − | 0.867570i | \(-0.334319\pi\) |
0.362455 | + | 0.932001i | \(0.381939\pi\) | |||||||
\(62\) | 42034.6 | + | 16497.4i | 0.176373 | + | 0.0692212i | ||||
\(63\) | −31184.2 | + | 206894.i | −0.124713 | + | 0.827419i | ||||
\(64\) | −116977. | + | 56333.3i | −0.446233 | + | 0.214894i | ||||
\(65\) | −42682.8 | − | 88631.7i | −0.155422 | − | 0.322737i | ||||
\(66\) | −14859.9 | − | 2239.77i | −0.0516872 | − | 0.00779060i | ||||
\(67\) | 12552.1 | − | 31982.3i | 0.0417343 | − | 0.106337i | −0.908487 | − | 0.417913i | \(-0.862762\pi\) |
0.950221 | + | 0.311576i | \(0.100857\pi\) | |||||||
\(68\) | −30547.7 | + | 407631.i | −0.0971521 | + | 1.29641i | ||||
\(69\) | 31131.0 | − | 33551.3i | 0.0947646 | − | 0.102132i | ||||
\(70\) | −109355. | − | 24959.7i | −0.318820 | − | 0.0727687i | ||||
\(71\) | 3324.54 | + | 22056.9i | 0.00928874 | + | 0.0616268i | 0.992995 | − | 0.118156i | \(-0.0376984\pi\) |
−0.983706 | + | 0.179783i | \(0.942460\pi\) | |||||||
\(72\) | 115444. | + | 169325.i | 0.309295 | + | 0.453652i | ||||
\(73\) | 114721. | − | 371917.i | 0.294900 | − | 0.956044i | −0.679964 | − | 0.733245i | \(-0.738005\pi\) |
0.974865 | − | 0.222798i | \(-0.0715191\pi\) | |||||||
\(74\) | −7897.70 | − | 105387.i | −0.0194897 | − | 0.260072i | ||||
\(75\) | −37463.1 | − | 29875.8i | −0.0888014 | − | 0.0708167i | ||||
\(76\) | 189497. | + | 614336.i | 0.431681 | + | 1.39947i | ||||
\(77\) | −301405. | + | 118293.i | −0.660205 | + | 0.259111i | ||||
\(78\) | 1977.03 | + | 8661.95i | 0.00416611 | + | 0.0182529i | ||||
\(79\) | 319114. | − | 552721.i | 0.647238 | − | 1.12105i | −0.336541 | − | 0.941669i | \(-0.609257\pi\) |
0.983780 | − | 0.179381i | \(-0.0574095\pi\) | |||||||
\(80\) | 403421. | − | 232915.i | 0.787933 | − | 0.454913i | ||||
\(81\) | −336657. | + | 312372.i | −0.633480 | + | 0.587784i | ||||
\(82\) | −193930. | + | 154654.i | −0.351725 | + | 0.280492i | ||||
\(83\) | 497617. | + | 339270.i | 0.870285 | + | 0.593350i | 0.914009 | − | 0.405694i | \(-0.132970\pi\) |
−0.0437245 | + | 0.999044i | \(0.513922\pi\) | |||||||
\(84\) | −91308.4 | − | 43971.8i | −0.154054 | − | 0.0741885i | ||||
\(85\) | − | 1.08615e6i | − | 1.76862i | ||||||
\(86\) | 44078.2 | + | 186609.i | 0.0692992 | + | 0.293385i | ||||
\(87\) | 229348. | 0.348286 | ||||||||
\(88\) | −137601. | + | 285732.i | −0.201918 | + | 0.419287i | ||||
\(89\) | 185516. | − | 272101.i | 0.263154 | − | 0.385976i | −0.671807 | − | 0.740726i | \(-0.734482\pi\) |
0.934961 | + | 0.354750i | \(0.115434\pi\) | |||||||
\(90\) | −161674. | − | 202733.i | −0.221775 | − | 0.278097i | ||||
\(91\) | 130205. | + | 140328.i | 0.172785 | + | 0.186218i | ||||
\(92\) | −229980. | − | 398336.i | −0.295342 | − | 0.511548i | ||||
\(93\) | −93883.1 | − | 54203.4i | −0.116718 | − | 0.0673873i | ||||
\(94\) | −69038.9 | + | 15757.7i | −0.0831209 | + | 0.0189718i | ||||
\(95\) | −624091. | − | 1.59016e6i | −0.727909 | − | 1.85468i | ||||
\(96\) | −144538. | + | 44584.1i | −0.163369 | + | 0.0503926i | ||||
\(97\) | −935199. | + | 1.17270e6i | −1.02468 | + | 1.28491i | −0.0667931 | + | 0.997767i | \(0.521277\pi\) |
−0.957888 | + | 0.287142i | \(0.907295\pi\) | |||||||
\(98\) | −65274.5 | + | 4891.65i | −0.0693530 | + | 0.00519729i | ||||
\(99\) | −715265. | − | 220630.i | −0.737159 | − | 0.227384i | ||||
\(100\) | −397870. | + | 271263.i | −0.397870 | + | 0.271263i | ||||
\(101\) | −947673. | + | 142839.i | −0.919802 | + | 0.138638i | −0.591842 | − | 0.806054i | \(-0.701599\pi\) |
−0.327960 | + | 0.944692i | \(0.606361\pi\) | |||||||
\(102\) | −21828.6 | + | 95637.3i | −0.0205696 | + | 0.0901212i | ||||
\(103\) | −373572. | − | 346624.i | −0.341871 | − | 0.317210i | 0.490487 | − | 0.871449i | \(-0.336819\pi\) |
−0.832358 | + | 0.554239i | \(0.813009\pi\) | |||||||
\(104\) | 186975. | + | 14011.8i | 0.166220 | + | 0.0124565i | ||||
\(105\) | 250668. | + | 98380.0i | 0.216537 | + | 0.0849844i | ||||
\(106\) | 80415.4 | − | 533522.i | 0.0675184 | − | 0.447955i | ||||
\(107\) | 1.77153e6 | − | 853125.i | 1.44610 | − | 0.696404i | 0.464185 | − | 0.885738i | \(-0.346347\pi\) |
0.981913 | + | 0.189334i | \(0.0606329\pi\) | |||||||
\(108\) | −208204. | − | 432341.i | −0.165279 | − | 0.343206i | ||||
\(109\) | 1.01093e6 | + | 152373.i | 0.780622 | + | 0.117660i | 0.527251 | − | 0.849710i | \(-0.323223\pi\) |
0.253371 | + | 0.967369i | \(0.418461\pi\) | |||||||
\(110\) | 146603. | − | 373540.i | 0.110145 | − | 0.280646i | ||||
\(111\) | −18960.1 | + | 253005.i | −0.0138635 | + | 0.184995i | ||||
\(112\) | −616564. | + | 664498.i | −0.438858 | + | 0.472977i | ||||
\(113\) | −582499. | − | 132952.i | −0.403701 | − | 0.0921421i | 0.0158490 | − | 0.999874i | \(-0.494955\pi\) |
−0.419550 | + | 0.907732i | \(0.637812\pi\) | |||||||
\(114\) | 22994.4 | + | 152558.i | 0.0155206 | + | 0.102972i | ||||
\(115\) | 688465. | + | 1.00979e6i | 0.452677 | + | 0.663955i | ||||
\(116\) | 679361. | − | 2.20243e6i | 0.435238 | − | 1.41101i | ||||
\(117\) | 33071.1 | + | 441303.i | 0.0206486 | + | 0.275537i | ||||
\(118\) | 239022. | + | 190614.i | 0.145476 | + | 0.116013i | ||||
\(119\) | 622993. | + | 2.01969e6i | 0.369694 | + | 1.19852i | ||||
\(120\) | 245521. | − | 96360.0i | 0.142084 | − | 0.0557639i | ||||
\(121\) | 136453. | + | 597841.i | 0.0770243 | + | 0.337466i | ||||
\(122\) | 235980. | − | 408729.i | 0.129956 | − | 0.225090i | ||||
\(123\) | 515707. | − | 297744.i | 0.277133 | − | 0.160003i | ||||
\(124\) | −798614. | + | 741005.i | −0.418863 | + | 0.388648i | ||||
\(125\) | −888255. | + | 708360.i | −0.454787 | + | 0.362680i | ||||
\(126\) | 416915. | + | 284248.i | 0.208418 | + | 0.142097i | ||||
\(127\) | −3.64316e6 | − | 1.75445e6i | −1.77856 | − | 0.856507i | −0.958948 | − | 0.283582i | \(-0.908477\pi\) |
−0.819608 | − | 0.572925i | \(-0.805809\pi\) | |||||||
\(128\) | 1.98514e6i | 0.946588i | ||||||||
\(129\) | −37867.1 | − | 458763.i | −0.0176398 | − | 0.213707i | ||||
\(130\) | −237244. | −0.107986 | ||||||||
\(131\) | 511864. | − | 1.06290e6i | 0.227688 | − | 0.472799i | −0.755558 | − | 0.655082i | \(-0.772634\pi\) |
0.983246 | + | 0.182282i | \(0.0583485\pi\) | |||||||
\(132\) | 204237. | − | 299561.i | 0.0887999 | − | 0.130246i | ||||
\(133\) | 2.07257e6 | + | 2.59892e6i | 0.880957 | + | 1.10468i | ||||
\(134\) | −56357.9 | − | 60739.4i | −0.0234229 | − | 0.0252439i | ||||
\(135\) | 637520. | + | 1.10422e6i | 0.259115 | + | 0.448800i | ||||
\(136\) | 1.79284e6 | + | 1.03510e6i | 0.712731 | + | 0.411495i | ||||
\(137\) | −501296. | + | 114417.i | −0.194954 | + | 0.0444970i | −0.318883 | − | 0.947794i | \(-0.603308\pi\) |
0.123929 | + | 0.992291i | \(0.460451\pi\) | |||||||
\(138\) | −40326.4 | − | 102750.i | −0.0153445 | − | 0.0390971i | ||||
\(139\) | 3.67123e6 | − | 1.13242e6i | 1.36700 | − | 0.421662i | 0.477510 | − | 0.878626i | \(-0.341539\pi\) |
0.889485 | + | 0.456964i | \(0.151063\pi\) | |||||||
\(140\) | 1.68726e6 | − | 2.11576e6i | 0.614892 | − | 0.771050i | ||||
\(141\) | 169530. | − | 12704.5i | 0.0604768 | − | 0.00453211i | ||||
\(142\) | 51404.7 | + | 15856.3i | 0.0179530 | + | 0.00553778i | ||||
\(143\) | −565840. | + | 385783.i | −0.193502 | + | 0.131927i | ||||
\(144\) | −2.07216e6 | + | 312329.i | −0.693964 | + | 0.104598i | ||||
\(145\) | −1.36275e6 | + | 5.97062e6i | −0.447006 | + | 1.95846i | ||||
\(146\) | −688072. | − | 638438.i | −0.221093 | − | 0.205145i | ||||
\(147\) | 156706. | + | 11743.5i | 0.0493324 | + | 0.00369695i | ||||
\(148\) | 2.37346e6 | + | 931514.i | 0.732144 | + | 0.287345i | ||||
\(149\) | 738304. | − | 4.89833e6i | 0.223191 | − | 1.48077i | −0.543853 | − | 0.839180i | \(-0.683035\pi\) |
0.767044 | − | 0.641594i | \(-0.221727\pi\) | |||||||
\(150\) | −104116. | + | 50139.5i | −0.0308491 | + | 0.0148562i | ||||
\(151\) | −1.00691e6 | − | 2.09088e6i | −0.292456 | − | 0.607292i | 0.702031 | − | 0.712146i | \(-0.252277\pi\) |
−0.994488 | + | 0.104854i | \(0.966562\pi\) | |||||||
\(152\) | 3.21953e6 | + | 485265.i | 0.916771 | + | 0.138181i | ||||
\(153\) | −1.78510e6 | + | 4.54837e6i | −0.498413 | + | 1.26994i | ||||
\(154\) | −58354.2 | + | 778683.i | −0.0159775 | + | 0.213205i | ||||
\(155\) | 1.96892e6 | − | 2.12199e6i | 0.528730 | − | 0.569835i | ||||
\(156\) | −208979. | − | 47698.0i | −0.0550463 | − | 0.0125640i | ||||
\(157\) | 272482. | + | 1.80780e6i | 0.0704108 | + | 0.467145i | 0.996054 | + | 0.0887481i | \(0.0282866\pi\) |
−0.925643 | + | 0.378397i | \(0.876475\pi\) | |||||||
\(158\) | −867057. | − | 1.27174e6i | −0.219825 | − | 0.322423i | ||||
\(159\) | −381797. | + | 1.23775e6i | −0.0949819 | + | 0.307924i | ||||
\(160\) | −301833. | − | 4.02769e6i | −0.0736898 | − | 0.983322i | ||||
\(161\) | −1.85939e6 | − | 1.48281e6i | −0.445547 | − | 0.355312i | ||||
\(162\) | 326461. | + | 1.05836e6i | 0.0767868 | + | 0.248937i | ||||
\(163\) | −3.40170e6 | + | 1.33507e6i | −0.785477 | + | 0.308277i | −0.723972 | − | 0.689830i | \(-0.757685\pi\) |
−0.0615053 | + | 0.998107i | \(0.519590\pi\) | |||||||
\(164\) | −1.33165e6 | − | 5.83432e6i | −0.301896 | − | 1.32269i | ||||
\(165\) | −481678. | + | 834290.i | −0.107227 | + | 0.185723i | ||||
\(166\) | 1.25787e6 | − | 726234.i | 0.274988 | − | 0.158764i | ||||
\(167\) | 696014. | − | 645807.i | 0.149441 | − | 0.138661i | −0.601910 | − | 0.798564i | \(-0.705593\pi\) |
0.751350 | + | 0.659903i | \(0.229403\pi\) | |||||||
\(168\) | −401275. | + | 320006.i | −0.0846280 | + | 0.0674886i | ||||
\(169\) | −3.65356e6 | − | 2.49096e6i | −0.756931 | − | 0.516067i | ||||
\(170\) | −2.36003e6 | − | 1.13653e6i | −0.480364 | − | 0.231331i | ||||
\(171\) | 7.68464e6i | 1.53686i | ||||||||
\(172\) | −4.51769e6 | − | 995284.i | −0.887833 | − | 0.195597i | ||||
\(173\) | 4.51832e6 | 0.872648 | 0.436324 | − | 0.899790i | \(-0.356280\pi\) | ||||
0.436324 | + | 0.899790i | \(0.356280\pi\) | |||||||
\(174\) | 239985. | − | 498334.i | 0.0455550 | − | 0.0945960i | ||||
\(175\) | −1.40258e6 | + | 2.05721e6i | −0.261707 | + | 0.383853i | ||||
\(176\) | −2.02193e6 | − | 2.53542e6i | −0.370876 | − | 0.465064i | ||||
\(177\) | −499211. | − | 538022.i | −0.0900253 | − | 0.0970242i | ||||
\(178\) | −397111. | − | 687816.i | −0.0704128 | − | 0.121959i | ||||
\(179\) | 6.31492e6 | + | 3.64592e6i | 1.10106 | + | 0.635695i | 0.936498 | − | 0.350673i | \(-0.114047\pi\) |
0.164557 | + | 0.986368i | \(0.447380\pi\) | |||||||
\(180\) | 6.09915e6 | − | 1.39209e6i | 1.04581 | − | 0.238699i | ||||
\(181\) | −2.57330e6 | − | 6.55666e6i | −0.433965 | − | 1.10573i | −0.965894 | − | 0.258936i | \(-0.916628\pi\) |
0.531929 | − | 0.846789i | \(-0.321467\pi\) | |||||||
\(182\) | 441154. | − | 136078.i | 0.0731773 | − | 0.0225722i | ||||
\(183\) | −706439. | + | 885846.i | −0.115271 | + | 0.144546i | ||||
\(184\) | −2.32290e6 | + | 174078.i | −0.372887 | + | 0.0279440i | ||||
\(185\) | −6.47384e6 | − | 1.99692e6i | −1.02246 | − | 0.315388i | ||||
\(186\) | −216013. | + | 147275.i | −0.0335691 | + | 0.0228870i | ||||
\(187\) | −7.47691e6 | + | 1.12696e6i | −1.14340 | + | 0.172339i | ||||
\(188\) | 380170. | − | 1.66563e6i | 0.0572143 | − | 0.250672i | ||||
\(189\) | −1.81882e6 | − | 1.68762e6i | −0.269404 | − | 0.249970i | ||||
\(190\) | −4.10819e6 | − | 307866.i | −0.598948 | − | 0.0448850i | ||||
\(191\) | 5.38834e6 | + | 2.11477e6i | 0.773312 | + | 0.303503i | 0.718990 | − | 0.695021i | \(-0.244605\pi\) |
0.0543226 | + | 0.998523i | \(0.482700\pi\) | |||||||
\(192\) | 112036. | − | 743312.i | 0.0158291 | − | 0.105019i | ||||
\(193\) | 5.21284e6 | − | 2.51037e6i | 0.725107 | − | 0.349193i | −0.0346505 | − | 0.999399i | \(-0.511032\pi\) |
0.759758 | + | 0.650206i | \(0.225318\pi\) | |||||||
\(194\) | 1.56951e6 | + | 3.25912e6i | 0.214961 | + | 0.446371i | ||||
\(195\) | 563195. | + | 84888.0i | 0.0759547 | + | 0.0114483i | ||||
\(196\) | 576958. | − | 1.47006e6i | 0.0766260 | − | 0.195240i | ||||
\(197\) | 606296. | − | 8.09046e6i | 0.0793024 | − | 1.05822i | −0.805606 | − | 0.592452i | \(-0.798160\pi\) |
0.884908 | − | 0.465765i | \(-0.154221\pi\) | |||||||
\(198\) | −1.22783e6 | + | 1.32329e6i | −0.158177 | + | 0.170474i | ||||
\(199\) | 1.32371e6 | + | 302129.i | 0.167971 | + | 0.0383383i | 0.305679 | − | 0.952135i | \(-0.401116\pi\) |
−0.137708 | + | 0.990473i | \(0.543974\pi\) | |||||||
\(200\) | 363474. | + | 2.41149e6i | 0.0454342 | + | 0.301436i | ||||
\(201\) | 112055. | + | 164355.i | 0.0137989 | + | 0.0202392i | ||||
\(202\) | −681263. | + | 2.20860e6i | −0.0826534 | + | 0.267956i | ||||
\(203\) | −890580. | − | 1.18840e7i | −0.106460 | − | 1.42061i | ||||
\(204\) | −1.85035e6 | − | 1.47561e6i | −0.217953 | − | 0.173812i | ||||
\(205\) | 4.68691e6 | + | 1.51946e7i | 0.544033 | + | 1.76371i | ||||
\(206\) | −1.14405e6 | + | 449008.i | −0.130871 | + | 0.0513633i | ||||
\(207\) | −1.22341e6 | − | 5.36010e6i | −0.137931 | − | 0.604313i | ||||
\(208\) | −958644. | + | 1.66042e6i | −0.106529 | + | 0.184513i | ||||
\(209\) | −1.02989e7 | + | 5.94605e6i | −1.12811 | + | 0.651312i | ||||
\(210\) | 476058. | − | 441717.i | 0.0514046 | − | 0.0476965i | ||||
\(211\) | 8.23336e6 | − | 6.56589e6i | 0.876455 | − | 0.698950i | −0.0781121 | − | 0.996945i | \(-0.524889\pi\) |
0.954568 | + | 0.297995i | \(0.0963178\pi\) | |||||||
\(212\) | 1.07553e7 | + | 7.33282e6i | 1.12879 | + | 0.769597i | ||||
\(213\) | −116356. | − | 56034.2i | −0.0120407 | − | 0.00579849i | ||||
\(214\) | − | 4.74194e6i | − | 0.483854i | ||||||
\(215\) | 1.21680e7 | + | 1.74012e6i | 1.22435 | + | 0.175091i | ||||
\(216\) | −2.43021e6 | −0.241148 | ||||||||
\(217\) | −2.44407e6 | + | 5.07516e6i | −0.239185 | + | 0.496673i | ||||
\(218\) | 1.38890e6 | − | 2.03714e6i | 0.134060 | − | 0.196631i | ||||
\(219\) | 1.40498e6 | + | 1.76179e6i | 0.133763 | + | 0.167734i | ||||
\(220\) | 6.58493e6 | + | 7.09687e6i | 0.618419 | + | 0.666498i | ||||
\(221\) | 2.23522e6 | + | 3.87151e6i | 0.207082 | + | 0.358677i | ||||
\(222\) | 529899. | + | 305937.i | 0.0484322 | + | 0.0279623i | ||||
\(223\) | 7.30719e6 | − | 1.66782e6i | 0.658925 | − | 0.150395i | 0.120033 | − | 0.992770i | \(-0.461700\pi\) |
0.538892 | + | 0.842375i | \(0.318843\pi\) | |||||||
\(224\) | 2.87145e6 | + | 7.31633e6i | 0.255480 | + | 0.650952i | ||||
\(225\) | −5.50023e6 | + | 1.69660e6i | −0.482873 | + | 0.148947i | ||||
\(226\) | −898397. | + | 1.12655e6i | −0.0778293 | + | 0.0975949i | ||||
\(227\) | −5.59300e6 | + | 419137.i | −0.478153 | + | 0.0358326i | −0.311627 | − | 0.950204i | \(-0.600874\pi\) |
−0.166526 | + | 0.986037i | \(0.553255\pi\) | |||||||
\(228\) | −3.55683e6 | − | 1.09714e6i | −0.300095 | − | 0.0925670i | ||||
\(229\) | −9.82760e6 | + | 6.70034e6i | −0.818353 | + | 0.557944i | −0.898568 | − | 0.438834i | \(-0.855392\pi\) |
0.0802150 | + | 0.996778i | \(0.474439\pi\) | |||||||
\(230\) | 2.91451e6 | − | 439292.i | 0.239542 | − | 0.0361052i | ||||
\(231\) | 417146. | − | 1.82764e6i | 0.0338417 | − | 0.148270i | ||||
\(232\) | −8.55661e6 | − | 7.93938e6i | −0.685233 | − | 0.635803i | ||||
\(233\) | 7.26721e6 | + | 544602.i | 0.574513 | + | 0.0430538i | 0.358819 | − | 0.933407i | \(-0.383180\pi\) |
0.215694 | + | 0.976461i | \(0.430799\pi\) | |||||||
\(234\) | 993484. | + | 389914.i | 0.0775377 | + | 0.0304313i | ||||
\(235\) | −676588. | + | 4.48887e6i | −0.0521339 | + | 0.345886i | ||||
\(236\) | −6.64538e6 | + | 3.20025e6i | −0.505573 | + | 0.243471i | ||||
\(237\) | 1.60327e6 | + | 3.32922e6i | 0.120437 | + | 0.250091i | ||||
\(238\) | 5.04035e6 | + | 759710.i | 0.373878 | + | 0.0563530i | ||||
\(239\) | −471306. | + | 1.20087e6i | −0.0345230 | + | 0.0879633i | −0.947096 | − | 0.320951i | \(-0.895997\pi\) |
0.912573 | + | 0.408915i | \(0.134093\pi\) | |||||||
\(240\) | −201549. | + | 2.68949e6i | −0.0145797 | + | 0.194552i | ||||
\(241\) | 1.98605e6 | − | 2.14045e6i | 0.141886 | − | 0.152917i | −0.658111 | − | 0.752921i | \(-0.728644\pi\) |
0.799997 | + | 0.600005i | \(0.204835\pi\) | |||||||
\(242\) | 1.44179e6 | + | 329080.i | 0.101732 | + | 0.0232196i | ||||
\(243\) | −1.29238e6 | − | 8.57441e6i | −0.0900685 | − | 0.597565i | ||||
\(244\) | 6.41425e6 | + | 9.40797e6i | 0.441546 | + | 0.647629i | ||||
\(245\) | −1.23684e6 | + | 4.00975e6i | −0.0841039 | + | 0.272658i | ||||
\(246\) | −107321. | − | 1.43210e6i | −0.00720908 | − | 0.0961985i | ||||
\(247\) | 5.49695e6 | + | 4.38367e6i | 0.364780 | + | 0.290902i | ||||
\(248\) | 1.62627e6 | + | 5.27222e6i | 0.106619 | + | 0.345652i | ||||
\(249\) | −3.24592e6 | + | 1.27393e6i | −0.210252 | + | 0.0825178i | ||||
\(250\) | 609694. | + | 2.67124e6i | 0.0390204 | + | 0.170960i | ||||
\(251\) | 8.63994e6 | − | 1.49648e7i | 0.546373 | − | 0.946347i | −0.452146 | − | 0.891944i | \(-0.649341\pi\) |
0.998519 | − | 0.0544025i | \(-0.0173254\pi\) | |||||||
\(252\) | −1.05429e7 | + | 6.08692e6i | −0.658805 | + | 0.380361i | ||||
\(253\) | 6.23692e6 | − | 5.78702e6i | 0.385131 | − | 0.357350i | ||||
\(254\) | −7.62428e6 | + | 6.08016e6i | −0.465262 | + | 0.371034i | ||||
\(255\) | 5.19582e6 | + | 3.54245e6i | 0.313353 | + | 0.213640i | ||||
\(256\) | −3.17317e6 | − | 1.52812e6i | −0.189136 | − | 0.0910830i | ||||
\(257\) | 1.07562e7i | 0.633666i | 0.948481 | + | 0.316833i | \(0.102619\pi\) | ||||
−0.948481 | + | 0.316833i | \(0.897381\pi\) | |||||||
\(258\) | −1.03644e6 | − | 397762.i | −0.0603510 | − | 0.0231614i | ||||
\(259\) | 1.31835e7 | 0.758805 | ||||||||
\(260\) | 2.48345e6 | − | 5.15694e6i | 0.141298 | − | 0.293408i | ||||
\(261\) | 1.55194e7 | − | 2.27628e7i | 0.872880 | − | 1.28028i | ||||
\(262\) | −1.77389e6 | − | 2.22439e6i | −0.0986332 | − | 0.123682i | ||||
\(263\) | −1.83215e7 | − | 1.97459e7i | −1.00715 | − | 1.08545i | −0.996337 | − | 0.0855099i | \(-0.972748\pi\) |
−0.0108145 | − | 0.999942i | \(-0.503442\pi\) | |||||||
\(264\) | −918073. | − | 1.59015e6i | −0.0498959 | − | 0.0864223i | ||||
\(265\) | −2.99540e7 | − | 1.72939e7i | −1.60959 | − | 0.929300i | ||||
\(266\) | 7.81573e6 | − | 1.78389e6i | 0.415264 | − | 0.0947813i | ||||
\(267\) | 696596. | + | 1.77490e6i | 0.0365971 | + | 0.0932480i | ||||
\(268\) | 1.91023e6 | − | 589228.i | 0.0992387 | − | 0.0306111i | ||||
\(269\) | 4.55399e6 | − | 5.71052e6i | 0.233956 | − | 0.293372i | −0.650970 | − | 0.759104i | \(-0.725637\pi\) |
0.884926 | + | 0.465732i | \(0.154209\pi\) | |||||||
\(270\) | 3.06637e6 | − | 229793.i | 0.155788 | − | 0.0116747i | ||||
\(271\) | 1.20316e7 | + | 3.71124e6i | 0.604525 | + | 0.186471i | 0.581883 | − | 0.813272i | \(-0.302316\pi\) |
0.0226417 | + | 0.999744i | \(0.492792\pi\) | |||||||
\(272\) | −1.74906e7 | + | 1.19249e7i | −0.869157 | + | 0.592581i | ||||
\(273\) | −1.09595e6 | + | 165187.i | −0.0538644 | + | 0.00811875i | ||||
\(274\) | −275936. | + | 1.20896e6i | −0.0134140 | + | 0.0587704i | ||||
\(275\) | −6.52960e6 | − | 6.05858e6i | −0.313970 | − | 0.291322i | ||||
\(276\) | 2.65559e6 | + | 199009.i | 0.126309 | + | 0.00946553i | ||||
\(277\) | −1.49473e7 | − | 5.86638e6i | −0.703271 | − | 0.276014i | −0.0133633 | − | 0.999911i | \(-0.504254\pi\) |
−0.689908 | + | 0.723897i | \(0.742349\pi\) | |||||||
\(278\) | 1.38094e6 | − | 9.16192e6i | 0.0642746 | − | 0.426434i | ||||
\(279\) | −1.17326e7 | + | 5.65011e6i | −0.540232 | + | 0.260162i | ||||
\(280\) | −5.94641e6 | − | 1.23479e7i | −0.270883 | − | 0.562493i | ||||
\(281\) | −2.79053e7 | − | 4.20605e6i | −1.25767 | − | 0.189564i | −0.513815 | − | 0.857901i | \(-0.671768\pi\) |
−0.743858 | + | 0.668337i | \(0.767006\pi\) | |||||||
\(282\) | 149788. | − | 381654.i | 0.00667928 | − | 0.0170185i | ||||
\(283\) | 931011. | − | 1.24235e7i | 0.0410767 | − | 0.548130i | −0.938265 | − | 0.345917i | \(-0.887568\pi\) |
0.979342 | − | 0.202213i | \(-0.0648132\pi\) | |||||||
\(284\) | −882764. | + | 951393.i | −0.0385380 | + | 0.0415341i | ||||
\(285\) | 9.64227e6 | + | 2.20079e6i | 0.416528 | + | 0.0950699i | ||||
\(286\) | 246158. | + | 1.63315e6i | 0.0105224 | + | 0.0698118i | ||||
\(287\) | −1.74306e7 | − | 2.55659e7i | −0.737337 | − | 1.08147i | ||||
\(288\) | −5.35559e6 | + | 1.73624e7i | −0.224197 | + | 0.726828i | ||||
\(289\) | 1.88476e6 | + | 2.51504e7i | 0.0780842 | + | 1.04196i | ||||
\(290\) | 1.15472e7 | + | 9.20858e6i | 0.473459 | + | 0.377571i | ||||
\(291\) | −2.55973e6 | − | 8.29843e6i | −0.103876 | − | 0.336757i | ||||
\(292\) | 2.10803e7 | − | 8.27339e6i | 0.846696 | − | 0.332304i | ||||
\(293\) | 5.28418e6 | + | 2.31515e7i | 0.210075 | + | 0.920399i | 0.964515 | + | 0.264029i | \(0.0850516\pi\) |
−0.754440 | + | 0.656369i | \(0.772091\pi\) | |||||||
\(294\) | 189490. | − | 328207.i | 0.00745667 | − | 0.0129153i | ||||
\(295\) | 1.69726e7 | − | 9.79914e6i | 0.661123 | − | 0.381700i | ||||
\(296\) | 9.46572e6 | − | 8.78290e6i | 0.364988 | − | 0.338659i | ||||
\(297\) | 6.93978e6 | − | 5.53429e6i | 0.264897 | − | 0.211248i | ||||
\(298\) | −9.87070e6 | − | 6.72973e6i | −0.372992 | − | 0.254302i | ||||
\(299\) | −4.53206e6 | − | 2.18252e6i | −0.169544 | − | 0.0816480i | ||||
\(300\) | − | 2.78800e6i | − | 0.103259i | ||||||
\(301\) | −2.36244e7 | + | 3.74356e6i | −0.866287 | + | 0.137273i | ||||
\(302\) | −5.59674e6 | −0.203196 | ||||||||
\(303\) | 2.40751e6 | − | 4.99924e6i | 0.0865445 | − | 0.179712i | ||||
\(304\) | −1.87548e7 | + | 2.75083e7i | −0.667562 | + | 0.979134i | ||||
\(305\) | −1.88637e7 | − | 2.36544e7i | −0.664856 | − | 0.833703i | ||||
\(306\) | 8.01495e6 | + | 8.63806e6i | 0.279728 | + | 0.301476i | ||||
\(307\) | 9.65530e6 | + | 1.67235e7i | 0.333696 | + | 0.577978i | 0.983233 | − | 0.182352i | \(-0.0583709\pi\) |
−0.649538 | + | 0.760329i | \(0.725038\pi\) | |||||||
\(308\) | −1.63152e7 | − | 9.41960e6i | −0.558394 | − | 0.322389i | ||||
\(309\) | 2.87653e6 | − | 656549.i | 0.0974975 | − | 0.0222532i | ||||
\(310\) | −2.55050e6 | − | 6.49856e6i | −0.0856130 | − | 0.218138i | ||||
\(311\) | 4.48471e6 | − | 1.38335e6i | 0.149092 | − | 0.0459887i | −0.219311 | − | 0.975655i | \(-0.570381\pi\) |
0.368403 | + | 0.929666i | \(0.379905\pi\) | |||||||
\(312\) | −676841. | + | 848731.i | −0.0222855 | + | 0.0279452i | ||||
\(313\) | −9.10991e6 | + | 682693.i | −0.297085 | + | 0.0222635i | −0.222439 | − | 0.974947i | \(-0.571402\pi\) |
−0.0746463 | + | 0.997210i | \(0.523783\pi\) | |||||||
\(314\) | 4.21318e6 | + | 1.29959e6i | 0.136088 | + | 0.0419777i | ||||
\(315\) | 2.67264e7 | − | 1.82218e7i | 0.855085 | − | 0.582987i | ||||
\(316\) | 3.67198e7 | − | 5.53462e6i | 1.16369 | − | 0.175399i | ||||
\(317\) | −4.85467e6 | + | 2.12697e7i | −0.152399 | + | 0.667704i | 0.839785 | + | 0.542919i | \(0.182681\pi\) |
−0.992184 | + | 0.124784i | \(0.960176\pi\) | |||||||
\(318\) | 2.28993e6 | + | 2.12474e6i | 0.0712100 | + | 0.0660732i | ||||
\(319\) | 4.25147e7 | + | 3.18604e6i | 1.30969 | + | 0.0981475i | ||||
\(320\) | 1.86850e7 | + | 7.33332e6i | 0.570220 | + | 0.223795i | ||||
\(321\) | −1.69670e6 | + | 1.12569e7i | −0.0512969 | + | 0.340333i | ||||
\(322\) | −5.16754e6 | + | 2.48856e6i | −0.154781 | + | 0.0745384i | ||||
\(323\) | 3.36817e7 | + | 6.99407e7i | 0.999507 | + | 2.07550i | ||||
\(324\) | −2.64228e7 | − | 3.98259e6i | −0.776861 | − | 0.117093i | ||||
\(325\) | −1.92398e6 | + | 4.90222e6i | −0.0560467 | + | 0.142805i | ||||
\(326\) | −658594. | + | 8.78832e6i | −0.0190092 | + | 0.253661i | ||||
\(327\) | −4.02601e6 | + | 4.33901e6i | −0.115141 | + | 0.124093i | ||||
\(328\) | −2.95473e7 | − | 6.74399e6i | −0.837331 | − | 0.191115i | ||||
\(329\) | −1.31660e6 | − | 8.73509e6i | −0.0369715 | − | 0.245290i | ||||
\(330\) | 1.30876e6 | + | 1.91959e6i | 0.0364180 | + | 0.0534155i | ||||
\(331\) | 1.60798e7 | − | 5.21293e7i | 0.443400 | − | 1.43747i | −0.408016 | − | 0.912975i | \(-0.633779\pi\) |
0.851416 | − | 0.524492i | \(-0.175745\pi\) | |||||||
\(332\) | 2.61871e6 | + | 3.49443e7i | 0.0715606 | + | 0.954910i | ||||
\(333\) | 2.38279e7 | + | 1.90021e7i | 0.645287 | + | 0.514599i | ||||
\(334\) | −674934. | − | 2.18808e6i | −0.0181143 | − | 0.0587252i | ||||
\(335\) | −4.94447e6 | + | 1.94056e6i | −0.131518 | + | 0.0516171i | ||||
\(336\) | −1.16785e6 | − | 5.11669e6i | −0.0307872 | − | 0.134887i | ||||
\(337\) | −1.92141e7 | + | 3.32799e7i | −0.502032 | + | 0.869545i | 0.497965 | + | 0.867197i | \(0.334081\pi\) |
−0.999997 | + | 0.00234767i | \(0.999253\pi\) | |||||||
\(338\) | −9.23545e6 | + | 5.33209e6i | −0.239171 | + | 0.138085i | ||||
\(339\) | 2.53580e6 | − | 2.35288e6i | 0.0650902 | − | 0.0603949i | ||||
\(340\) | 4.94091e7 | − | 3.94024e7i | 1.25710 | − | 1.00250i | ||||
\(341\) | −1.66504e7 | − | 1.13520e7i | −0.419914 | − | 0.286293i | ||||
\(342\) | 1.66974e7 | + | 8.04106e6i | 0.417418 | + | 0.201018i | ||||
\(343\) | − | 4.35595e7i | − | 1.07944i | ||||||
\(344\) | −1.44683e7 | + | 1.84266e7i | −0.355421 | + | 0.452658i | ||||
\(345\) | −7.07594e6 | −0.172317 | ||||||||
\(346\) | 4.72789e6 | − | 9.81757e6i | 0.114140 | − | 0.237015i | ||||
\(347\) | −3.55063e7 | + | 5.20782e7i | −0.849801 | + | 1.24643i | 0.117571 | + | 0.993065i | \(0.462489\pi\) |
−0.967371 | + | 0.253364i | \(0.918463\pi\) | |||||||
\(348\) | 8.32005e6 | + | 1.04330e7i | 0.197419 | + | 0.247555i | ||||
\(349\) | −3.89396e7 | − | 4.19669e7i | −0.916041 | − | 0.987257i | 0.0839165 | − | 0.996473i | \(-0.473257\pi\) |
−0.999958 | + | 0.00921538i | \(0.997067\pi\) | |||||||
\(350\) | 3.00234e6 | + | 5.20021e6i | 0.0700255 | + | 0.121288i | ||||
\(351\) | −4.54478e6 | − | 2.62393e6i | −0.105097 | − | 0.0606780i | ||||
\(352\) | −2.74128e7 | + | 6.25679e6i | −0.628529 | + | 0.143458i | ||||
\(353\) | 1.62106e7 | + | 4.13038e7i | 0.368531 | + | 0.939001i | 0.988066 | + | 0.154032i | \(0.0492260\pi\) |
−0.619535 | + | 0.784969i | \(0.712679\pi\) | |||||||
\(354\) | −1.69140e6 | + | 521727.i | −0.0381273 | + | 0.0117607i | ||||
\(355\) | 2.15012e6 | − | 2.69616e6i | 0.0480593 | − | 0.0602644i | ||||
\(356\) | 1.91078e7 | − | 1.43193e6i | 0.423508 | − | 0.0317375i | ||||
\(357\) | −1.16935e7 | − | 3.60695e6i | −0.257003 | − | 0.0792750i | ||||
\(358\) | 1.45298e7 | − | 9.90625e6i | 0.316673 | − | 0.215904i | ||||
\(359\) | 2.23248e7 | − | 3.36492e6i | 0.482507 | − | 0.0727262i | 0.0967151 | − | 0.995312i | \(-0.469166\pi\) |
0.385792 | + | 0.922586i | \(0.373928\pi\) | |||||||
\(360\) | 7.05011e6 | − | 3.08885e7i | 0.151108 | − | 0.662049i | ||||
\(361\) | 5.50109e7 | + | 5.10426e7i | 1.16930 | + | 1.08495i | ||||
\(362\) | −1.69392e7 | − | 1.26942e6i | −0.357081 | − | 0.0267595i | ||||
\(363\) | −3.30492e6 | − | 1.29709e6i | −0.0690942 | − | 0.0271175i | ||||
\(364\) | −1.66005e6 | + | 1.10137e7i | −0.0344206 | + | 0.228366i | ||||
\(365\) | −5.42129e7 | + | 2.61075e7i | −1.11487 | + | 0.536893i | ||||
\(366\) | 1.18559e6 | + | 2.46191e6i | 0.0241820 | + | 0.0502144i | ||||
\(367\) | 7.98598e7 | + | 1.20369e7i | 1.61559 | + | 0.243510i | 0.893754 | − | 0.448558i | \(-0.148062\pi\) |
0.721832 | + | 0.692069i | \(0.243300\pi\) | |||||||
\(368\) | 8.70228e6 | − | 2.21731e7i | 0.174618 | − | 0.444920i | ||||
\(369\) | 5.34558e6 | − | 7.13318e7i | 0.106394 | − | 1.41973i | ||||
\(370\) | −1.11131e7 | + | 1.19771e7i | −0.219396 | + | 0.236453i | ||||
\(371\) | 6.56186e7 | + | 1.49770e7i | 1.28501 | + | 0.293294i | ||||
\(372\) | −940089. | − | 6.23708e6i | −0.0182616 | − | 0.121158i | ||||
\(373\) | 1.29345e7 | + | 1.89715e7i | 0.249244 | + | 0.365573i | 0.930388 | − | 0.366576i | \(-0.119470\pi\) |
−0.681145 | + | 0.732149i | \(0.738518\pi\) | |||||||
\(374\) | −5.37500e6 | + | 1.74253e7i | −0.102746 | + | 0.333093i | ||||
\(375\) | −491561. | − | 6.55943e6i | −0.00932145 | − | 0.124386i | ||||
\(376\) | −6.76470e6 | − | 5.39467e6i | −0.127258 | − | 0.101485i | ||||
\(377\) | −7.42963e6 | − | 2.40863e7i | −0.138657 | − | 0.449516i | ||||
\(378\) | −5.57009e6 | + | 2.18610e6i | −0.103130 | + | 0.0404757i | ||||
\(379\) | 3.71326e6 | + | 1.62688e7i | 0.0682083 | + | 0.298840i | 0.997514 | − | 0.0704719i | \(-0.0224505\pi\) |
−0.929305 | + | 0.369312i | \(0.879593\pi\) | |||||||
\(380\) | 4.96961e7 | − | 8.60761e7i | 0.905673 | − | 1.56867i | ||||
\(381\) | 2.02748e7 | − | 1.17057e7i | 0.366591 | − | 0.211651i | ||||
\(382\) | 1.02333e7 | − | 9.49511e6i | 0.183580 | − | 0.170337i | ||||
\(383\) | −2.96328e7 | + | 2.36314e7i | −0.527445 | + | 0.420623i | −0.850671 | − | 0.525699i | \(-0.823804\pi\) |
0.323226 | + | 0.946322i | \(0.395233\pi\) | |||||||
\(384\) | −9.49628e6 | − | 6.47446e6i | −0.167710 | − | 0.114343i | ||||
\(385\) | 4.51003e7 | + | 2.17192e7i | 0.790310 | + | 0.380593i | ||||
\(386\) | − | 1.39534e7i | − | 0.242616i | ||||||
\(387\) | −4.80948e7 | − | 2.72851e7i | −0.829784 | − | 0.470753i | ||||
\(388\) | −8.72725e7 | −1.49411 | ||||||||
\(389\) | −3.82783e7 | + | 7.94856e7i | −0.650284 | + | 1.35033i | 0.271429 | + | 0.962458i | \(0.412504\pi\) |
−0.921714 | + | 0.387871i | \(0.873211\pi\) | |||||||
\(390\) | 773764. | − | 1.13490e6i | 0.0130441 | − | 0.0191322i | ||||
\(391\) | −3.46280e7 | − | 4.34221e7i | −0.579291 | − | 0.726408i | ||||
\(392\) | −5.43992e6 | − | 5.86284e6i | −0.0903097 | − | 0.0973308i | ||||
\(393\) | 3.41514e6 | + | 5.91519e6i | 0.0562640 | + | 0.0974521i | ||||
\(394\) | −1.69448e7 | − | 9.78309e6i | −0.277044 | − | 0.159951i | ||||
\(395\) | −9.61963e7 | + | 2.19562e7i | −1.56087 | + | 0.356259i | ||||
\(396\) | −1.59112e7 | − | 4.05412e7i | −0.256223 | − | 0.652846i | ||||
\(397\) | −8.86156e7 | + | 2.73343e7i | −1.41625 | + | 0.436854i | −0.906038 | − | 0.423197i | \(-0.860908\pi\) |
−0.510208 | + | 0.860051i | \(0.670432\pi\) | |||||||
\(398\) | 2.04158e6 | − | 2.56007e6i | 0.0323831 | − | 0.0406071i | ||||
\(399\) | −1.91921e7 | + | 1.43825e6i | −0.302136 | + | 0.0226420i | ||||
\(400\) | −2.38295e7 | − | 7.35042e6i | −0.372336 | − | 0.114850i | ||||
\(401\) | 3.46570e7 | − | 2.36287e7i | 0.537474 | − | 0.366443i | −0.263954 | − | 0.964535i | \(-0.585027\pi\) |
0.801428 | + | 0.598092i | \(0.204074\pi\) | |||||||
\(402\) | 474368. | − | 71499.4i | 0.00730192 | − | 0.00110059i | ||||
\(403\) | −2.65118e6 | + | 1.16156e7i | −0.0405064 | + | 0.177470i | ||||
\(404\) | −4.08765e7 | − | 3.79279e7i | −0.619912 | − | 0.575194i | ||||
\(405\) | 7.08023e7 | + | 5.30590e6i | 1.06582 | + | 0.0798719i | ||||
\(406\) | −2.67538e7 | − | 1.05001e7i | −0.399767 | − | 0.156897i | ||||
\(407\) | −7.02938e6 | + | 4.66369e7i | −0.104264 | + | 0.691745i | ||||
\(408\) | −1.07989e7 | + | 5.20047e6i | −0.159000 | + | 0.0765706i | ||||
\(409\) | −4.73078e7 | − | 9.82356e7i | −0.691453 | − | 1.43582i | −0.890109 | − | 0.455748i | \(-0.849372\pi\) |
0.198656 | − | 0.980069i | \(-0.436342\pi\) | |||||||
\(410\) | 3.79196e7 | + | 5.71547e6i | 0.550190 | + | 0.0829278i | ||||
\(411\) | 1.08762e6 | − | 2.77121e6i | 0.0156658 | − | 0.0399157i | ||||
\(412\) | 2.21583e6 | − | 2.95683e7i | 0.0316844 | − | 0.422799i | ||||
\(413\) | −2.59399e7 | + | 2.79565e7i | −0.368229 | + | 0.396856i | ||||
\(414\) | −1.29268e7 | − | 2.95045e6i | −0.182175 | − | 0.0415803i | ||||
\(415\) | −1.38774e7 | − | 9.20709e7i | −0.194163 | − | 1.28818i | ||||
\(416\) | 9.36452e6 | + | 1.37352e7i | 0.130079 | + | 0.190790i | ||||
\(417\) | −6.55642e6 | + | 2.12554e7i | −0.0904187 | + | 0.293130i | ||||
\(418\) | 2.14324e6 | + | 2.85995e7i | 0.0293455 | + | 0.391589i | ||||
\(419\) | 5.99182e6 | + | 4.77832e6i | 0.0814549 | + | 0.0649581i | 0.663371 | − | 0.748291i | \(-0.269125\pi\) |
−0.581916 | + | 0.813249i | \(0.697697\pi\) | |||||||
\(420\) | 4.61820e6 | + | 1.49718e7i | 0.0623340 | + | 0.202082i | ||||
\(421\) | 9.80885e7 | − | 3.84969e7i | 1.31453 | − | 0.515916i | 0.398555 | − | 0.917144i | \(-0.369512\pi\) |
0.915978 | + | 0.401228i | \(0.131416\pi\) | |||||||
\(422\) | −5.65134e6 | − | 2.47601e7i | −0.0751994 | − | 0.329470i | ||||
\(423\) | 1.02108e7 | − | 1.76856e7i | 0.134908 | − | 0.233667i | ||||
\(424\) | 5.70919e7 | − | 3.29620e7i | 0.748992 | − | 0.432431i | ||||
\(425\) | −4.26234e7 | + | 3.95488e7i | −0.555241 | + | 0.515189i | ||||
\(426\) | −243506. | + | 194190.i | −0.00314979 | + | 0.00251187i | ||||
\(427\) | 4.86446e7 | + | 3.31653e7i | 0.624814 | + | 0.425991i | ||||
\(428\) | 1.03075e8 | + | 4.96381e7i | 1.31468 | + | 0.633117i | ||||
\(429\) | − | 3.96502e6i | − | 0.0502196i | ||||||
\(430\) | 1.65134e7 | − | 2.46182e7i | 0.207697 | − | 0.309636i | ||||
\(431\) | 9.24213e7 | 1.15436 | 0.577179 | − | 0.816618i | \(-0.304154\pi\) | ||||
0.577179 | + | 0.816618i | \(0.304154\pi\) | |||||||
\(432\) | 1.07821e7 | − | 2.23893e7i | 0.133738 | − | 0.277709i | ||||
\(433\) | −5.18129e7 | + | 7.59956e7i | −0.638226 | + | 0.936106i | 0.361767 | + | 0.932269i | \(0.382174\pi\) |
−0.999993 | + | 0.00383689i | \(0.998779\pi\) | |||||||
\(434\) | 8.47006e6 | + | 1.06211e7i | 0.103614 | + | 0.129927i | ||||
\(435\) | −2.41170e7 | − | 2.59920e7i | −0.292992 | − | 0.315770i | ||||
\(436\) | 2.97420e7 | + | 5.15147e7i | 0.358849 | + | 0.621544i | ||||
\(437\) | −7.56461e7 | − | 4.36743e7i | −0.906447 | − | 0.523337i | ||||
\(438\) | 5.29821e6 | − | 1.20928e6i | 0.0630532 | − | 0.0143915i | ||||
\(439\) | 4.13443e7 | + | 1.05344e8i | 0.488678 | + | 1.24513i | 0.936393 | + | 0.350954i | \(0.114143\pi\) |
−0.447715 | + | 0.894176i | \(0.647762\pi\) | |||||||
\(440\) | 4.68515e7 | − | 1.44518e7i | 0.550004 | − | 0.169654i | ||||
\(441\) | 1.17695e7 | − | 1.47584e7i | 0.137227 | − | 0.172078i | ||||
\(442\) | 1.07510e7 | − | 805679.i | 0.124504 | − | 0.00933030i | ||||
\(443\) | −9.70798e7 | − | 2.99452e7i | −1.11665 | − | 0.344442i | −0.319118 | − | 0.947715i | \(-0.603387\pi\) |
−0.797534 | + | 0.603274i | \(0.793863\pi\) | |||||||
\(444\) | −1.21970e7 | + | 8.31579e6i | −0.139349 | + | 0.0950068i | ||||
\(445\) | −5.03451e7 | + | 7.58830e6i | −0.571317 | + | 0.0861122i | ||||
\(446\) | 4.02222e6 | − | 1.76225e7i | 0.0453379 | − | 0.198638i | ||||
\(447\) | 2.10241e7 | + | 1.95075e7i | 0.235394 | + | 0.218414i | ||||
\(448\) | −3.89508e7 | − | 2.91896e6i | −0.433194 | − | 0.0324634i | ||||
\(449\) | −5.11439e7 | − | 2.00725e7i | −0.565008 | − | 0.221749i | 0.0656065 | − | 0.997846i | \(-0.479102\pi\) |
−0.630614 | + | 0.776096i | \(0.717197\pi\) | |||||||
\(450\) | −2.06892e6 | + | 1.37264e7i | −0.0227042 | + | 0.150632i | ||||
\(451\) | 9.97342e7 | − | 4.80295e7i | 1.08721 | − | 0.523574i | ||||
\(452\) | −1.50834e7 | − | 3.13209e7i | −0.163336 | − | 0.339172i | ||||
\(453\) | 1.32861e7 | + | 2.00256e6i | 0.142923 | + | 0.0215422i | ||||
\(454\) | −4.94169e6 | + | 1.25912e7i | −0.0528090 | + | 0.134555i | ||||
\(455\) | 2.21165e6 | − | 2.95124e7i | 0.0234791 | − | 0.313307i | ||||
\(456\) | −1.28217e7 | + | 1.38185e7i | −0.135223 | + | 0.145736i | ||||
\(457\) | −4.94640e6 | − | 1.12898e6i | −0.0518252 | − | 0.0118288i | 0.196530 | − | 0.980498i | \(-0.437033\pi\) |
−0.248355 | + | 0.968669i | \(0.579890\pi\) | |||||||
\(458\) | 4.27531e6 | + | 2.83648e7i | 0.0445012 | + | 0.295246i | ||||
\(459\) | −3.26400e7 | − | 4.78740e7i | −0.337529 | − | 0.495065i | ||||
\(460\) | −2.09600e7 | + | 6.79506e7i | −0.215336 | + | 0.698103i | ||||
\(461\) | 3.81888e6 | + | 5.09595e7i | 0.0389793 | + | 0.520142i | 0.982183 | + | 0.187927i | \(0.0601769\pi\) |
−0.943204 | + | 0.332215i | \(0.892204\pi\) | |||||||
\(462\) | −3.53466e6 | − | 2.81879e6i | −0.0358444 | − | 0.0285850i | ||||
\(463\) | 1.62920e7 | + | 5.28173e7i | 0.164146 | + | 0.532149i | 0.999855 | − | 0.0170237i | \(-0.00541907\pi\) |
−0.835709 | + | 0.549173i | \(0.814943\pi\) | |||||||
\(464\) | 1.11108e8 | − | 4.36067e7i | 1.11222 | − | 0.436515i | ||||
\(465\) | 3.72939e6 | + | 1.63395e7i | 0.0370919 | + | 0.162510i | ||||
\(466\) | 8.78761e6 | − | 1.52206e7i | 0.0868386 | − | 0.150409i | ||||
\(467\) | −8.33991e7 | + | 4.81505e7i | −0.818862 | + | 0.472770i | −0.850024 | − | 0.526744i | \(-0.823413\pi\) |
0.0311620 | + | 0.999514i | \(0.490079\pi\) | |||||||
\(468\) | −1.88752e7 | + | 1.75136e7i | −0.184142 | + | 0.170859i | ||||
\(469\) | 8.08115e6 | − | 6.44450e6i | 0.0783348 | − | 0.0624699i | ||||
\(470\) | 9.04559e6 | + | 6.16718e6i | 0.0871251 | + | 0.0594009i | ||||
\(471\) | −9.53666e6 | − | 4.59261e6i | −0.0912711 | − | 0.0439539i | ||||
\(472\) | 3.73541e7i | 0.355232i | ||||||||
\(473\) | −646494. | − | 8.55681e7i | −0.00610915 | − | 0.808590i | ||||
\(474\) | 8.91148e6 | 0.0836786 | ||||||||
\(475\) | −3.96776e7 | + | 8.23914e7i | −0.370224 | + | 0.768778i | ||||
\(476\) | −6.92755e7 | + | 1.01609e8i | −0.642331 | + | 0.942127i | ||||
\(477\) | 9.70123e7 | + | 1.21650e8i | 0.893864 | + | 1.12087i | ||||
\(478\) | 2.11612e6 | + | 2.28063e6i | 0.0193757 | + | 0.0208820i | ||||
\(479\) | −2.18444e7 | − | 3.78355e7i | −0.198762 | − | 0.344265i | 0.749365 | − | 0.662157i | \(-0.230359\pi\) |
−0.948127 | + | 0.317891i | \(0.897025\pi\) | |||||||
\(480\) | 2.02516e7 | + | 1.16923e7i | 0.183120 | + | 0.105724i | ||||
\(481\) | 2.71850e7 | − | 6.20481e6i | 0.244284 | − | 0.0557562i | ||||
\(482\) | −2.57268e6 | − | 6.55509e6i | −0.0229744 | − | 0.0585379i | ||||
\(483\) | 1.31577e7 | − | 4.05860e6i | 0.116772 | − | 0.0360193i | ||||
\(484\) | −2.22457e7 | + | 2.78952e7i | −0.196205 | + | 0.246033i | ||||
\(485\) | 2.31243e8 | − | 1.73293e7i | 2.02695 | − | 0.151899i | ||||
\(486\) | −1.99831e7 | − | 6.16397e6i | −0.174082 | − | 0.0536972i | ||||
\(487\) | −7.96637e7 | + | 5.43138e7i | −0.689721 | + | 0.470244i | −0.856766 | − | 0.515705i | \(-0.827530\pi\) |
0.167045 | + | 0.985949i | \(0.446578\pi\) | |||||||
\(488\) | 5.70217e7 | − | 8.59464e6i | 0.490660 | − | 0.0739551i | ||||
\(489\) | 4.70797e6 | − | 2.06270e7i | 0.0402631 | − | 0.176404i | ||||
\(490\) | 7.41830e6 | + | 6.88318e6i | 0.0630545 | + | 0.0585061i | ||||
\(491\) | 1.68943e8 | + | 1.26605e7i | 1.42724 | + | 0.106957i | 0.765817 | − | 0.643058i | \(-0.222335\pi\) |
0.661421 | + | 0.750015i | \(0.269954\pi\) | |||||||
\(492\) | 3.22527e7 | + | 1.26583e7i | 0.270814 | + | 0.106287i | ||||
\(493\) | 4.14789e7 | − | 2.75194e8i | 0.346167 | − | 2.29667i | ||||
\(494\) | 1.52769e7 | − | 7.35696e6i | 0.126723 | − | 0.0610264i | ||||
\(495\) | 5.02096e7 | + | 1.04261e8i | 0.413972 | + | 0.859622i | ||||
\(496\) | −5.57878e7 | − | 8.40866e6i | −0.457188 | − | 0.0689099i | ||||
\(497\) | −2.45167e6 | + | 6.24675e6i | −0.0199707 | + | 0.0508845i | ||||
\(498\) | −628434. | + | 8.38587e6i | −0.00508829 | + | 0.0678985i | ||||
\(499\) | −1.41813e8 | + | 1.52838e8i | −1.14134 | + | 1.23007i | −0.171804 | + | 0.985131i | \(0.554959\pi\) |
−0.969538 | + | 0.244942i | \(0.921231\pi\) | |||||||
\(500\) | −6.44466e7 | − | 1.47095e7i | −0.515572 | − | 0.117676i | ||||
\(501\) | 819313. | + | 5.43579e6i | 0.00651534 | + | 0.0432264i | ||||
\(502\) | −2.34754e7 | − | 3.44321e7i | −0.185567 | − | 0.272177i | ||||
\(503\) | 2.22968e6 | − | 7.22845e6i | 0.0175202 | − | 0.0567991i | −0.946391 | − | 0.323025i | \(-0.895300\pi\) |
0.963911 | + | 0.266225i | \(0.0857766\pi\) | |||||||
\(504\) | 4.60735e6 | + | 6.14808e7i | 0.0359882 | + | 0.480229i | ||||
\(505\) | 1.15840e8 | + | 9.23796e7i | 0.899468 | + | 0.717302i | ||||
\(506\) | −6.04803e6 | − | 1.96072e7i | −0.0466834 | − | 0.151344i | ||||
\(507\) | 2.38319e7 | − | 9.35334e6i | 0.182867 | − | 0.0717699i | ||||
\(508\) | −5.23531e7 | − | 2.29374e8i | −0.399348 | − | 1.74966i | ||||
\(509\) | 8.22724e6 | − | 1.42500e7i | 0.0623879 | − | 0.108059i | −0.833144 | − | 0.553056i | \(-0.813462\pi\) |
0.895532 | + | 0.444996i | \(0.146795\pi\) | |||||||
\(510\) | 1.31340e7 | − | 7.58290e6i | 0.0990114 | − | 0.0571643i | ||||
\(511\) | 8.58338e7 | − | 7.96421e7i | 0.643273 | − | 0.596870i | ||||
\(512\) | −1.05971e8 | + | 8.45094e7i | −0.789549 | + | 0.629644i | ||||
\(513\) | −7.52936e7 | − | 5.13343e7i | −0.557707 | − | 0.380238i | ||||
\(514\) | 2.33715e7 | + | 1.12551e7i | 0.172106 | + | 0.0828820i | ||||
\(515\) | 7.87860e7i | 0.576803i | ||||||||
\(516\) | 1.94954e7 | − | 1.83651e7i | 0.141900 | − | 0.133673i | ||||
\(517\) | 3.16027e7 | 0.228693 | ||||||||
\(518\) | 1.37949e7 | − | 2.86455e7i | 0.0992499 | − | 0.206095i | ||||
\(519\) | −1.47364e7 | + | 2.16143e7i | −0.105411 | + | 0.154610i | ||||
\(520\) | −1.80734e7 | − | 2.26633e7i | −0.128537 | − | 0.161181i | ||||
\(521\) | −4.49648e7 | − | 4.84605e7i | −0.317950 | − | 0.342669i | 0.553773 | − | 0.832668i | \(-0.313188\pi\) |
−0.871723 | + | 0.489999i | \(0.836997\pi\) | |||||||
\(522\) | −3.32206e7 | − | 5.75398e7i | −0.233559 | − | 0.404535i | ||||
\(523\) | 4.63289e7 | + | 2.67480e7i | 0.323852 | + | 0.186976i | 0.653108 | − | 0.757264i | \(-0.273465\pi\) |
−0.329256 | + | 0.944241i | \(0.606798\pi\) | |||||||
\(524\) | 6.69200e7 | − | 1.52741e7i | 0.465117 | − | 0.106160i | ||||
\(525\) | −5.26659e6 | − | 1.34191e7i | −0.0363958 | − | 0.0927351i | ||||
\(526\) | −6.20760e7 | + | 1.91479e7i | −0.426546 | + | 0.131572i | ||||
\(527\) | −8.20181e7 | + | 1.02847e8i | −0.560374 | + | 0.702686i | ||||
\(528\) | 1.87231e7 | − | 1.40310e6i | 0.127197 | − | 0.00953209i | ||||
\(529\) | −8.17422e7 | − | 2.52141e7i | −0.552178 | − | 0.170324i | ||||
\(530\) | −6.89201e7 | + | 4.69889e7i | −0.462933 | + | 0.315622i | ||||
\(531\) | −8.71794e7 | + | 1.31402e7i | −0.582278 | + | 0.0877643i | ||||
\(532\) | −4.30382e7 | + | 1.88562e8i | −0.285837 | + | 1.25233i | ||||
\(533\) | −4.79755e7 | − | 4.45147e7i | −0.316838 | − | 0.293983i | ||||
\(534\) | 4.58546e6 | + | 343633.i | 0.0301134 | + | 0.00225668i | ||||
\(535\) | −2.82970e8 | − | 1.11058e8i | −1.84790 | − | 0.725248i | ||||
\(536\) | 1.50890e6 | − | 1.00109e7i | 0.00979862 | − | 0.0650096i | ||||
\(537\) | −3.80369e7 | + | 1.83176e7i | −0.245630 | + | 0.118289i | ||||
\(538\) | −7.64280e6 | − | 1.58704e7i | −0.0490801 | − | 0.101916i | ||||
\(539\) | 2.88858e7 | + | 4.35383e6i | 0.184467 | + | 0.0278039i | ||||
\(540\) | −2.71035e7 | + | 6.90585e7i | −0.172125 | + | 0.438567i | ||||
\(541\) | 2.15833e7 | − | 2.88010e8i | 0.136310 | − | 1.81893i | −0.340859 | − | 0.940114i | \(-0.610718\pi\) |
0.477169 | − | 0.878812i | \(-0.341663\pi\) | |||||||
\(542\) | 2.06535e7 | − | 2.22592e7i | 0.129717 | − | 0.139801i | ||||
\(543\) | 3.97578e7 | + | 9.07445e6i | 0.248326 | + | 0.0566788i | ||||
\(544\) | 2.73560e7 | + | 1.81495e8i | 0.169924 | + | 1.12737i | ||||
\(545\) | −8.90356e7 | − | 1.30591e8i | −0.550014 | − | 0.806723i | ||||
\(546\) | −787854. | + | 2.55416e6i | −0.00484025 | + | 0.0156917i | ||||
\(547\) | −1.70723e7 | − | 2.27813e8i | −0.104311 | − | 1.39193i | −0.766332 | − | 0.642445i | \(-0.777920\pi\) |
0.662021 | − | 0.749485i | \(-0.269699\pi\) | |||||||
\(548\) | −2.33904e7 | − | 1.86532e7i | −0.142133 | − | 0.113347i | ||||
\(549\) | 4.01175e7 | + | 1.30058e8i | 0.242447 | + | 0.785993i | ||||
\(550\) | −1.99967e7 | + | 7.84814e6i | −0.120191 | + | 0.0471714i | ||||
\(551\) | −9.73973e7 | − | 4.26725e8i | −0.582226 | − | 2.55090i | ||||
\(552\) | 6.74333e6 | − | 1.16798e7i | 0.0400920 | − | 0.0694413i | ||||
\(553\) | 1.66283e8 | − | 9.60034e7i | 0.983268 | − | 0.567690i | ||||
\(554\) | −2.83872e7 | + | 2.63395e7i | −0.166953 | + | 0.154909i | ||||
\(555\) | 3.06668e7 | − | 2.44560e7i | 0.179387 | − | 0.143056i | ||||
\(556\) | 1.84695e8 | + | 1.25923e8i | 1.07456 | + | 0.732624i | ||||
\(557\) | −7.69865e7 | − | 3.70747e7i | −0.445501 | − | 0.214542i | 0.197664 | − | 0.980270i | \(-0.436665\pi\) |
−0.643165 | + | 0.765728i | \(0.722379\pi\) | |||||||
\(558\) | 3.14051e7i | 0.180758i | ||||||||
\(559\) | −4.69530e7 | + | 1.88383e7i | −0.268799 | + | 0.107847i | ||||
\(560\) | 1.40142e8 | 0.798004 | ||||||||
\(561\) | 1.89946e7 | − | 3.94427e7i | 0.107583 | − | 0.223398i | ||||
\(562\) | −3.83386e7 | + | 5.62325e7i | −0.215987 | + | 0.316795i | ||||
\(563\) | −5.34930e7 | − | 6.70781e7i | −0.299759 | − | 0.375886i | 0.609026 | − | 0.793150i | \(-0.291560\pi\) |
−0.908785 | + | 0.417264i | \(0.862989\pi\) | |||||||
\(564\) | 6.72797e6 | + | 7.25102e6i | 0.0375013 | + | 0.0404168i | ||||
\(565\) | 4.61852e7 | + | 7.99951e7i | 0.256069 | + | 0.443525i | ||||
\(566\) | −2.60200e7 | − | 1.50226e7i | −0.143502 | − | 0.0828508i | ||||
\(567\) | −1.34700e8 | + | 3.07443e7i | −0.738955 | + | 0.168662i | ||||
\(568\) | 2.40133e6 | + | 6.11849e6i | 0.0131041 | + | 0.0333887i | ||||
\(569\) | 2.42372e8 | − | 7.47617e7i | 1.31566 | − | 0.405828i | 0.444041 | − | 0.896006i | \(-0.353544\pi\) |
0.871622 | + | 0.490178i | \(0.163068\pi\) | |||||||
\(570\) | 1.48714e7 | − | 1.86482e7i | 0.0803024 | − | 0.100696i | ||||
\(571\) | 1.81460e8 | − | 1.35986e7i | 0.974705 | − | 0.0730440i | 0.422155 | − | 0.906524i | \(-0.361274\pi\) |
0.552550 | + | 0.833480i | \(0.313655\pi\) | |||||||
\(572\) | −3.80763e7 | − | 1.17450e7i | −0.203454 | − | 0.0627573i | ||||
\(573\) | −2.76903e7 | + | 1.88789e7i | −0.147185 | + | 0.100349i | ||||
\(574\) | −7.37896e7 | + | 1.11220e7i | −0.390175 | + | 0.0588094i | ||||
\(575\) | 1.45586e7 | − | 6.37855e7i | 0.0765803 | − | 0.335520i | ||||
\(576\) | −6.61928e7 | − | 6.14179e7i | −0.346372 | − | 0.321387i | ||||
\(577\) | 1.89905e8 | + | 1.42314e7i | 0.988573 | + | 0.0740833i | 0.559191 | − | 0.829039i | \(-0.311112\pi\) |
0.429383 | + | 0.903123i | \(0.358731\pi\) | |||||||
\(578\) | 5.66198e7 | + | 2.22216e7i | 0.293214 | + | 0.115078i | ||||
\(579\) | −4.99265e6 | + | 3.31241e7i | −0.0257215 | + | 0.170651i | ||||
\(580\) | −3.21040e8 | + | 1.54605e8i | −1.64541 | + | 0.792390i | ||||
\(581\) | 7.86148e7 | + | 1.63245e8i | 0.400844 | + | 0.832362i | ||||
\(582\) | −2.07095e7 | − | 3.12146e6i | −0.105051 | − | 0.0158339i | ||||
\(583\) | −8.79692e7 | + | 2.24142e8i | −0.443941 | + | 1.13114i | ||||
\(584\) | 8.57055e6 | − | 1.14366e8i | 0.0430299 | − | 0.574194i | ||||
\(585\) | 4.65353e7 | − | 5.01531e7i | 0.232442 | − | 0.250513i | ||||
\(586\) | 5.58336e7 | + | 1.27437e7i | 0.277462 | + | 0.0633288i | ||||
\(587\) | −4.22252e7 | − | 2.80146e8i | −0.208765 | − | 1.38506i | −0.810206 | − | 0.586146i | \(-0.800645\pi\) |
0.601441 | − | 0.798917i | \(-0.294593\pi\) | |||||||
\(588\) | 5.15061e6 | + | 7.55455e6i | 0.0253353 | + | 0.0371601i | ||||
\(589\) | −6.09818e7 | + | 1.97698e8i | −0.298438 | + | 0.967512i | ||||
\(590\) | −3.53208e6 | − | 4.71323e7i | −0.0171978 | − | 0.229489i | ||||
\(591\) | 3.67248e7 | + | 2.92871e7i | 0.177909 | + | 0.141878i | ||||
\(592\) | 3.89196e7 | + | 1.26174e8i | 0.187587 | + | 0.608142i | ||||
\(593\) | −2.28960e8 | + | 8.98600e7i | −1.09798 | + | 0.430926i | −0.844033 | − | 0.536292i | \(-0.819825\pi\) |
−0.253949 | + | 0.967218i | \(0.581729\pi\) | |||||||
\(594\) | −4.76343e6 | − | 2.08700e7i | −0.0227280 | − | 0.0995778i | ||||
\(595\) | 1.63381e8 | − | 2.82985e8i | 0.775624 | − | 1.34342i | ||||
\(596\) | 2.49608e8 | − | 1.44111e8i | 1.17902 | − | 0.680706i | ||||
\(597\) | −5.76253e6 | + | 5.34685e6i | −0.0270826 | + | 0.0251290i | ||||
\(598\) | −9.48452e6 | + | 7.56366e6i | −0.0443519 | + | 0.0353694i | ||||
\(599\) | −1.32935e8 | − | 9.06334e7i | −0.618526 | − | 0.421704i | 0.213108 | − | 0.977029i | \(-0.431642\pi\) |
−0.831633 | + | 0.555325i | \(0.812594\pi\) | |||||||
\(600\) | −1.27213e7 | − | 6.12624e6i | −0.0588948 | − | 0.0283622i | ||||
\(601\) | 2.67100e8i | 1.23041i | 0.788367 | + | 0.615206i | \(0.210927\pi\) | ||||
−0.788367 | + | 0.615206i | \(0.789073\pi\) | |||||||
\(602\) | −1.65860e7 | + | 5.52491e7i | −0.0760243 | + | 0.253242i | ||||
\(603\) | 2.38948e7 | 0.108981 | ||||||||
\(604\) | 5.85861e7 | − | 1.21655e8i | 0.265879 | − | 0.552103i | ||||
\(605\) | 5.34046e7 | − | 7.83302e7i | 0.241164 | − | 0.353723i | ||||
\(606\) | −8.34334e6 | − | 1.04622e7i | −0.0374906 | − | 0.0470117i | ||||
\(607\) | 1.68343e8 | + | 1.81430e8i | 0.752710 | + | 0.811229i | 0.986963 | − | 0.160947i | \(-0.0514549\pi\) |
−0.234253 | + | 0.972176i | \(0.575264\pi\) | |||||||
\(608\) | 1.44335e8 | + | 2.49995e8i | 0.642185 | + | 1.11230i | ||||
\(609\) | 5.97538e7 | + | 3.44989e7i | 0.264554 | + | 0.152740i | ||||
\(610\) | −7.11356e7 | + | 1.62362e7i | −0.313399 | + | 0.0715313i | ||||
\(611\) | −6.82609e6 | − | 1.73926e7i | −0.0299260 | − | 0.0762502i | ||||
\(612\) | −2.71664e8 | + | 8.37971e7i | −1.18516 | + | 0.365574i | ||||
\(613\) | −2.60541e8 | + | 3.26708e8i | −1.13108 | + | 1.41833i | −0.236386 | + | 0.971659i | \(0.575963\pi\) |
−0.894697 | + | 0.446674i | \(0.852608\pi\) | |||||||
\(614\) | 4.64404e7 | − | 3.48023e6i | 0.200628 | − | 0.0150350i | ||||
\(615\) | −8.79725e7 | − | 2.71359e7i | −0.378200 | − | 0.116659i | ||||
\(616\) | −7.88308e7 | + | 5.37460e7i | −0.337252 | + | 0.229934i | ||||
\(617\) | −2.04093e8 | + | 3.07621e7i | −0.868907 | + | 0.130967i | −0.568340 | − | 0.822794i | \(-0.692414\pi\) |
−0.300567 | + | 0.953761i | \(0.597176\pi\) | |||||||
\(618\) | 1.58338e6 | − | 6.93722e6i | 0.00670839 | − | 0.0293914i | ||||
\(619\) | −1.90553e8 | − | 1.76807e8i | −0.803422 | − | 0.745467i | 0.167239 | − | 0.985916i | \(-0.446515\pi\) |
−0.970662 | + | 0.240449i | \(0.922705\pi\) | |||||||
\(620\) | 1.67956e8 | + | 1.25866e7i | 0.704727 | + | 0.0528120i | ||||
\(621\) | 6.06905e7 | + | 2.38193e7i | 0.253423 | + | 0.0994612i | ||||
\(622\) | 1.68693e6 | − | 1.11920e7i | 0.00701012 | − | 0.0465091i | ||||
\(623\) | 8.92639e7 | − | 4.29872e7i | 0.369157 | − | 0.177777i | ||||
\(624\) | −4.81635e6 | − | 1.00013e7i | −0.0198228 | − | 0.0411624i | ||||
\(625\) | 3.01555e8 | + | 4.54520e7i | 1.23517 | + | 0.186172i | ||||
\(626\) | −8.04906e6 | + | 2.05087e7i | −0.0328112 | + | 0.0836016i | ||||
\(627\) | 5.14531e6 | − | 6.86593e7i | 0.0208741 | − | 0.278546i | ||||
\(628\) | −7.23521e7 | + | 7.79770e7i | −0.292127 | + | 0.314838i | ||||
\(629\) | 3.00152e8 | + | 6.85078e7i | 1.20612 | + | 0.275289i | ||||
\(630\) | −1.16268e7 | − | 7.71390e7i | −0.0464986 | − | 0.308498i | ||||
\(631\) | 1.56778e8 | + | 2.29951e8i | 0.624017 | + | 0.915265i | 0.999935 | − | 0.0113881i | \(-0.00362503\pi\) |
−0.375918 | + | 0.926653i | \(0.622673\pi\) | |||||||
\(632\) | 5.54329e7 | − | 1.79709e8i | 0.219592 | − | 0.711899i | ||||
\(633\) | 4.55635e6 | + | 6.08003e7i | 0.0179641 | + | 0.239714i | ||||
\(634\) | 4.11357e7 | + | 3.28046e7i | 0.161418 | + | 0.128726i | ||||
\(635\) | 1.84264e8 | + | 5.97369e8i | 0.719647 | + | 2.33304i | ||||
\(636\) | −7.01559e7 | + | 2.75342e7i | −0.272705 | + | 0.107029i | ||||
\(637\) | −3.84311e6 | − | 1.68378e7i | −0.0148684 | − | 0.0651428i | ||||
\(638\) | 5.14094e7 | − | 8.90437e7i | 0.197961 | − | 0.342879i | ||||
\(639\) | −1.34350e7 | + | 7.75670e6i | −0.0514914 | + | 0.0297286i | ||||
\(640\) | 2.24976e8 | − | 2.08747e8i | 0.858214 | − | 0.796306i | ||||
\(641\) | 1.26789e7 | − | 1.01111e7i | 0.0481401 | − | 0.0383904i | −0.599124 | − | 0.800656i | \(-0.704484\pi\) |
0.647264 | + | 0.762266i | \(0.275913\pi\) | |||||||
\(642\) | 2.26840e7 | + | 1.54657e7i | 0.0857263 | + | 0.0584472i | ||||
\(643\) | 1.46361e7 | + | 7.04836e6i | 0.0550544 | + | 0.0265128i | 0.461208 | − | 0.887292i | \(-0.347416\pi\) |
−0.406154 | + | 0.913805i | \(0.633130\pi\) | |||||||
\(644\) | − | 1.38376e8i | − | 0.518087i | ||||||
\(645\) | −4.80097e7 | + | 5.25326e7i | −0.178916 | + | 0.195772i | ||||
\(646\) | 1.87213e8 | 0.694447 | ||||||||
\(647\) | −8.23446e7 | + | 1.70990e8i | −0.304034 | + | 0.631333i | −0.995877 | − | 0.0907148i | \(-0.971085\pi\) |
0.691843 | + | 0.722048i | \(0.256799\pi\) | |||||||
\(648\) | −7.62324e7 | + | 1.11812e8i | −0.280165 | + | 0.410927i | ||||
\(649\) | −8.50660e7 | − | 1.06669e8i | −0.311187 | − | 0.390217i | ||||
\(650\) | 8.63849e6 | + | 9.31008e6i | 0.0314556 | + | 0.0339011i | ||||
\(651\) | −1.63068e7 | − | 2.82441e7i | −0.0591051 | − | 0.102373i | ||||
\(652\) | −1.84136e8 | − | 1.06311e8i | −0.664348 | − | 0.383562i | ||||
\(653\) | 9.93569e7 | − | 2.26776e7i | 0.356828 | − | 0.0814436i | −0.0403493 | − | 0.999186i | \(-0.512847\pi\) |
0.397177 | + | 0.917742i | \(0.369990\pi\) | |||||||
\(654\) | 5.21520e6 | + | 1.32881e7i | 0.0186439 | + | 0.0475040i | ||||
\(655\) | −1.74283e8 | + | 5.37592e7i | −0.620199 | + | 0.191306i | ||||
\(656\) | 1.93225e8 | − | 2.42296e8i | 0.684465 | − | 0.858292i | ||||
\(657\) | 2.69930e8 | − | 2.02284e7i | 0.951819 | − | 0.0713290i | ||||
\(658\) | −2.03576e7 | − | 6.27948e6i | −0.0714576 | − | 0.0220417i | ||||
\(659\) | −3.29858e8 | + | 2.24893e8i | −1.15258 | + | 0.785815i | −0.979964 | − | 0.199174i | \(-0.936174\pi\) |
−0.172615 | + | 0.984989i | \(0.555222\pi\) | |||||||
\(660\) | −5.54257e7 | + | 8.35408e6i | −0.192788 | + | 0.0290581i | ||||
\(661\) | 6.90644e7 | − | 3.02591e8i | 0.239139 | − | 1.04774i | −0.702651 | − | 0.711534i | \(-0.748001\pi\) |
0.941790 | − | 0.336201i | \(-0.109142\pi\) | |||||||
\(662\) | −9.64427e7 | − | 8.94857e7i | −0.332426 | − | 0.308447i | ||||
\(663\) | −2.58102e7 | − | 1.93421e6i | −0.0885627 | − | 0.00663686i | ||||
\(664\) | 1.65201e8 | + | 6.48364e7i | 0.564296 | + | 0.221470i | ||||
\(665\) | 7.65949e7 | − | 5.08174e8i | 0.260456 | − | 1.72801i | ||||
\(666\) | 6.62215e7 | − | 3.18906e7i | 0.224169 | − | 0.107954i | ||||
\(667\) | 1.35871e8 | + | 2.82139e8i | 0.457877 | + | 0.950792i | ||||
\(668\) | 5.46271e7 | + | 8.23371e6i | 0.183265 | + | 0.0276227i | ||||
\(669\) | −1.58538e7 | + | 4.03949e7i | −0.0529487 | + | 0.134911i | ||||
\(670\) | −957286. | + | 1.27741e7i | −0.00318286 | + | 0.0424723i | ||||
\(671\) | −1.43260e8 | + | 1.54398e8i | −0.474197 | + | 0.511062i | ||||
\(672\) | −4.43642e7 | − | 1.01258e7i | −0.146192 | − | 0.0333674i | ||||
\(673\) | −2.43678e7 | − | 1.61670e8i | −0.0799414 | − | 0.530377i | −0.992578 | − | 0.121606i | \(-0.961196\pi\) |
0.912637 | − | 0.408771i | \(-0.134042\pi\) | |||||||
\(674\) | 5.22063e7 | + | 7.65726e7i | 0.170507 | + | 0.250088i | ||||
\(675\) | 2.01191e7 | − | 6.52244e7i | 0.0654179 | − | 0.212080i | ||||
\(676\) | −1.92269e7 | − | 2.56565e8i | −0.0622399 | − | 0.830534i | ||||
\(677\) | 3.90196e8 | + | 3.11171e8i | 1.25753 | + | 1.00284i | 0.999324 | + | 0.0367535i | \(0.0117016\pi\) |
0.258203 | + | 0.966091i | \(0.416870\pi\) | |||||||
\(678\) | −2.45900e6 | − | 7.97187e6i | −0.00788985 | − | 0.0255783i | ||||
\(679\) | −4.20055e8 | + | 1.64859e8i | −1.34183 | + | 0.526629i | ||||
\(680\) | −7.12185e7 | − | 3.12028e8i | −0.226499 | − | 0.992356i | ||||
\(681\) | 1.62363e7 | − | 2.81222e7i | 0.0514099 | − | 0.0890446i | ||||
\(682\) | −4.20887e7 | + | 2.42999e7i | −0.132682 | + | 0.0766041i | ||||
\(683\) | 1.91576e8 | − | 1.77757e8i | 0.601284 | − | 0.557910i | −0.319696 | − | 0.947520i | \(-0.603581\pi\) |
0.920980 | + | 0.389610i | \(0.127390\pi\) | |||||||
\(684\) | −3.49574e8 | + | 2.78776e8i | −1.09237 | + | 0.871138i | ||||
\(685\) | 6.56806e7 | + | 4.47803e7i | 0.204346 | + | 0.139321i | ||||
\(686\) | −9.46475e7 | − | 4.55798e7i | −0.293182 | − | 0.141189i | ||||
\(687\) | − | 6.88651e7i | − | 0.212387i | ||||||
\(688\) | −1.05571e8 | − | 2.15049e8i | −0.324175 | − | 0.660348i | ||||
\(689\) | 1.42358e8 | 0.435236 | ||||||||
\(690\) | −7.40413e6 | + | 1.53748e7i | −0.0225386 | + | 0.0468019i | ||||
\(691\) | −2.77524e8 | + | 4.07053e8i | −0.841137 | + | 1.23372i | 0.129116 | + | 0.991630i | \(0.458786\pi\) |
−0.970253 | + | 0.242092i | \(0.922166\pi\) | |||||||
\(692\) | 1.63912e8 | + | 2.05539e8i | 0.494642 | + | 0.620262i | ||||
\(693\) | −1.53166e8 | − | 1.65074e8i | −0.460218 | − | 0.495997i | ||||
\(694\) | 7.60041e7 | + | 1.31643e8i | 0.227383 | + | 0.393839i | ||||
\(695\) | −5.14385e8 | − | 2.96981e8i | −1.53227 | − | 0.884654i | ||||
\(696\) | 6.58866e7 | − | 1.50382e7i | 0.195420 | − | 0.0446034i | ||||
\(697\) | −2.63994e8 | − | 6.72647e8i | −0.779644 | − | 1.98650i | ||||
\(698\) | −1.31933e8 | + | 4.06958e7i | −0.387959 | + | 0.119670i | ||||
\(699\) | −2.63070e7 | + | 3.29879e7i | −0.0770263 | + | 0.0965880i | ||||
\(700\) | −1.44464e8 | + | 1.08261e7i | −0.421179 | + | 0.0315630i | ||||
\(701\) | −5.69114e8 | − | 1.75548e8i | −1.65213 | − | 0.509616i | −0.677899 | − | 0.735155i | \(-0.737109\pi\) |
−0.974234 | + | 0.225539i | \(0.927586\pi\) | |||||||
\(702\) | −1.04569e7 | + | 7.12942e6i | −0.0302269 | + | 0.0206083i | ||||
\(703\) | 4.78795e8 | − | 7.21667e7i | 1.37811 | − | 0.207717i | ||||
\(704\) | 3.10944e7 | − | 1.36233e8i | 0.0891176 | − | 0.390450i | ||||
\(705\) | −1.92667e7 | − | 1.78769e7i | −0.0549844 | − | 0.0510181i | ||||
\(706\) | 1.06709e8 | + | 7.99672e6i | 0.303240 | + | 0.0227247i | ||||
\(707\) | −2.68391e8 | − | 1.05336e8i | −0.759469 | − | 0.298070i | ||||
\(708\) | 6.36469e6 | − | 4.22270e7i | 0.0179340 | − | 0.118984i | ||||
\(709\) | −1.59318e8 | + | 7.67236e7i | −0.447019 | + | 0.215273i | −0.643830 | − | 0.765168i | \(-0.722656\pi\) |
0.196811 | + | 0.980441i | \(0.436941\pi\) | |||||||
\(710\) | −3.60847e6 | − | 7.49306e6i | −0.0100820 | − | 0.0209355i | ||||
\(711\) | 4.38916e8 | + | 6.61560e7i | 1.22116 | + | 0.184060i | ||||
\(712\) | 3.54531e7 | − | 9.03330e7i | 0.0982232 | − | 0.250269i | ||||
\(713\) | 1.10614e7 | − | 1.47605e8i | 0.0305171 | − | 0.407222i | ||||
\(714\) | −2.00731e7 | + | 2.16337e7i | −0.0551468 | + | 0.0594341i | ||||
\(715\) | 1.03222e8 | + | 2.35597e7i | 0.282392 | + | 0.0644542i | ||||
\(716\) | 6.32339e7 | + | 4.19529e8i | 0.172270 | + | 1.14294i | ||||
\(717\) | −4.20743e6 | − | 6.17117e6i | −0.0114146 | − | 0.0167421i | ||||
\(718\) | 1.60488e7 | − | 5.20290e7i | 0.0433580 | − | 0.140563i | ||||
\(719\) | 4.83375e7 | + | 6.45019e8i | 0.130046 | + | 1.73534i | 0.556511 | + | 0.830840i | \(0.312140\pi\) |
−0.426465 | + | 0.904504i | \(0.640241\pi\) | |||||||
\(720\) | 2.53294e8 | + | 2.01996e8i | 0.678622 | + | 0.541183i | ||||
\(721\) | −4.51899e7 | − | 1.46502e8i | −0.120569 | − | 0.390875i | ||||
\(722\) | 1.68470e8 | − | 6.61194e7i | 0.447620 | − | 0.175678i | ||||
\(723\) | 3.76183e6 | + | 1.64817e7i | 0.00995369 | + | 0.0436100i | ||||
\(724\) | 2.04911e8 | − | 3.54916e8i | 0.539945 | − | 0.935211i | ||||
\(725\) | 2.83923e8 | − | 1.63923e8i | 0.745051 | − | 0.430155i | ||||
\(726\) | −6.27657e6 | + | 5.82380e6i | −0.0164026 | + | 0.0152194i | ||||
\(727\) | 3.10868e7 | − | 2.47909e7i | 0.0809046 | − | 0.0645193i | −0.582202 | − | 0.813044i | \(-0.697809\pi\) |
0.663107 | + | 0.748525i | \(0.269237\pi\) | |||||||
\(728\) | 4.66065e7 | + | 3.17758e7i | 0.120796 | + | 0.0823572i | ||||
\(729\) | −2.56409e8 | − | 1.23480e8i | −0.661836 | − | 0.318724i | ||||
\(730\) | 1.45114e8i | 0.373027i | ||||||||
\(731\) | −5.57319e8 | − | 3.75333e7i | −1.42676 | − | 0.0960870i | ||||
\(732\) | −6.59247e7 | −0.168079 | ||||||||
\(733\) | −1.30618e8 | + | 2.71230e8i | −0.331658 | + | 0.688694i | −0.998397 | − | 0.0565965i | \(-0.981975\pi\) |
0.666739 | + | 0.745291i | \(0.267689\pi\) | |||||||
\(734\) | 1.09718e8 | − | 1.60927e8i | 0.277453 | − | 0.406949i | ||||
\(735\) | −1.51475e7 | − | 1.89943e7i | −0.0381485 | − | 0.0478368i | ||||
\(736\) | −1.40474e8 | − | 1.51395e8i | −0.352342 | − | 0.379734i | ||||
\(737\) | 1.84888e7 | + | 3.20235e7i | 0.0461855 | + | 0.0799956i | ||||
\(738\) | −1.49399e8 | − | 8.62554e7i | −0.371687 | − | 0.214594i | ||||
\(739\) | 2.68359e8 | − | 6.12511e7i | 0.664940 | − | 0.151768i | 0.123288 | − | 0.992371i | \(-0.460656\pi\) |
0.541652 | + | 0.840603i | \(0.317799\pi\) | |||||||
\(740\) | −1.44012e8 | − | 3.66937e8i | −0.355389 | − | 0.905517i | ||||
\(741\) | −3.88982e7 | + | 1.19985e7i | −0.0956037 | + | 0.0294898i | ||||
\(742\) | 1.01205e8 | − | 1.26907e8i | 0.247736 | − | 0.310651i | ||||
\(743\) | −1.42759e8 | + | 1.06983e7i | −0.348047 | + | 0.0260825i | −0.247607 | − | 0.968861i | \(-0.579644\pi\) |
−0.100440 | + | 0.994943i | \(0.532025\pi\) | |||||||
\(744\) | −3.05247e7 | − | 9.41562e6i | −0.0741195 | − | 0.0228628i | ||||
\(745\) | −6.32764e8 | + | 4.31411e8i | −1.53029 | + | 1.04333i | ||||
\(746\) | 5.47563e7 | − | 8.25318e6i | 0.131892 | − | 0.0198795i | ||||
\(747\) | −9.32062e7 | + | 4.08363e8i | −0.223606 | + | 0.979681i | ||||
\(748\) | −3.22506e8 | − | 2.99242e8i | −0.770606 | − | 0.715018i | ||||
\(749\) | 5.89881e8 | + | 4.42054e7i | 1.40384 | + | 0.105204i | ||||
\(750\) | −1.47669e7 | − | 5.79558e6i | −0.0350030 | − | 0.0137377i | ||||
\(751\) | 5.47912e7 | − | 3.63516e8i | 0.129357 | − | 0.858230i | −0.826190 | − | 0.563392i | \(-0.809496\pi\) |
0.955547 | − | 0.294838i | \(-0.0952658\pi\) | |||||||
\(752\) | 7.97136e7 | − | 3.83881e7i | 0.187447 | − | 0.0902698i | ||||
\(753\) | 4.34082e7 | + | 9.01380e7i | 0.101669 | + | 0.211117i | ||||
\(754\) | −6.01097e7 | − | 9.06008e6i | −0.140227 | − | 0.0211358i | ||||
\(755\) | −1.31077e8 | + | 3.33979e8i | −0.304569 | + | 0.776030i | ||||
\(756\) | 1.07883e7 | − | 1.43960e8i | 0.0249682 | − | 0.333177i | ||||
\(757\) | 1.58129e8 | − | 1.70422e8i | 0.364522 | − | 0.392861i | −0.523983 | − | 0.851729i | \(-0.675554\pi\) |
0.888504 | + | 0.458868i | \(0.151745\pi\) | |||||||
\(758\) | 3.92350e7 | + | 8.95513e6i | 0.0900877 | + | 0.0205619i | ||||
\(759\) | 7.34180e6 | + | 4.87097e7i | 0.0167910 | + | 0.111401i | ||||
\(760\) | −2.83554e8 | − | 4.15897e8i | −0.645943 | − | 0.947425i | ||||
\(761\) | −2.00711e8 | + | 6.50688e8i | −0.455425 | + | 1.47645i | 0.379036 | + | 0.925382i | \(0.376256\pi\) |
−0.834460 | + | 0.551068i | \(0.814220\pi\) | |||||||
\(762\) | −4.21928e6 | − | 5.63024e7i | −0.00953616 | − | 0.127251i | ||||
\(763\) | 2.40465e8 | + | 1.91765e8i | 0.541351 | + | 0.431713i | ||||
\(764\) | 9.92724e7 | + | 3.21833e8i | 0.222612 | + | 0.721690i | ||||
\(765\) | 7.03179e8 | − | 2.75978e8i | 1.57066 | − | 0.616438i | ||||
\(766\) | 2.03398e7 | + | 8.91147e7i | 0.0452544 | + | 0.198273i | ||||
\(767\) | −4.03317e7 | + | 6.98566e7i | −0.0893842 | + | 0.154818i | ||||
\(768\) | 1.76592e7 | − | 1.01956e7i | 0.0389842 | − | 0.0225075i | ||||
\(769\) | 1.55625e8 | − | 1.44399e8i | 0.342216 | − | 0.317530i | −0.490276 | − | 0.871567i | \(-0.663104\pi\) |
0.832492 | + | 0.554037i | \(0.186913\pi\) | |||||||
\(770\) | 9.43843e7 | − | 7.52690e7i | 0.206742 | − | 0.164871i | ||||
\(771\) | −5.14544e7 | − | 3.50810e7i | −0.112269 | − | 0.0765436i | ||||
\(772\) | 3.03303e8 | + | 1.46063e8i | 0.659212 | + | 0.317460i | ||||
\(773\) | 3.55457e7i | 0.0769572i | 0.999259 | + | 0.0384786i | \(0.0122511\pi\) | ||||
−0.999259 | + | 0.0384786i | \(0.987749\pi\) | |||||||
\(774\) | −1.09612e8 | + | 7.59513e7i | −0.236392 | + | 0.163799i | ||||
\(775\) | −1.54964e8 | −0.332910 | ||||||||
\(776\) | −1.91769e8 | + | 3.98213e8i | −0.410387 | + | 0.852177i | ||||
\(777\) | −4.29974e7 | + | 6.30656e7i | −0.0916598 | + | 0.134440i | ||||
\(778\) | 1.32655e8 | + | 1.66345e8i | 0.281699 | + | 0.353240i | ||||
\(779\) | −7.72990e8 | − | 8.33085e8i | −1.63516 | − | 1.76229i | ||||
\(780\) | 1.65695e7 | + | 2.86992e7i | 0.0349161 | + | 0.0604764i | ||||
\(781\) | −2.07909e7 | − | 1.20036e7i | −0.0436435 | − | 0.0251976i | ||||
\(782\) | −1.30583e8 | + | 2.98047e7i | −0.273065 | + | 0.0623254i | ||||
\(783\) | 1.19357e8 | + | 3.04117e8i | 0.248636 | + | 0.633513i | ||||
\(784\) | 7.81493e7 | − | 2.41059e7i | 0.162172 | − | 0.0500235i | ||||
\(785\) | 1.76225e8 | − | 2.20980e8i | 0.364300 | − | 0.456818i | ||||
\(786\) | 1.64263e7 | − | 1.23098e6i | 0.0338276 | − | 0.00253503i | ||||
\(787\) | 8.63462e8 | + | 2.66343e8i | 1.77141 | + | 0.546407i | 0.996341 | − | 0.0854699i | \(-0.0272391\pi\) |
0.775068 | + | 0.631877i | \(0.217715\pi\) | |||||||
\(788\) | 3.90030e8 | − | 2.65918e8i | 0.797111 | − | 0.543461i | ||||
\(789\) | 1.54213e8 | − | 2.32439e7i | 0.313972 | − | 0.0473237i | ||||
\(790\) | −5.29509e7 | + | 2.31993e8i | −0.107397 | + | 0.470537i | ||||
\(791\) | −1.31764e8 | − | 1.22259e8i | −0.266237 | − | 0.247032i | ||||
\(792\) | −2.19947e8 | − | 1.64827e7i | −0.442733 | − | 0.0331783i | ||||
\(793\) | 1.15917e8 | + | 4.54941e7i | 0.232449 | + | 0.0912296i | ||||
\(794\) | −3.33329e7 | + | 2.21149e8i | −0.0665903 | + | 0.441798i | ||||
\(795\) | 1.80422e8 | − | 8.68869e7i | 0.359078 | − | 0.172923i | ||||
\(796\) | 3.42766e7 | + | 7.11760e7i | 0.0679607 | + | 0.141122i | ||||
\(797\) | 8.77582e8 | + | 1.32274e8i | 1.73346 | + | 0.261276i | 0.938472 | − | 0.345355i | \(-0.112242\pi\) |
0.794983 | + | 0.606632i | \(0.207480\pi\) | |||||||
\(798\) | −1.69571e7 | + | 4.32061e7i | −0.0333691 | + | 0.0850230i | ||||
\(799\) | 1.54163e7 | − | 2.05717e8i | 0.0302232 | − | 0.403301i | ||||
\(800\) | −1.47066e8 | + | 1.58500e8i | −0.287239 | + | 0.309570i | ||||
\(801\) | 2.23296e8 | + | 5.09659e7i | 0.434494 | + | 0.0991705i | ||||
\(802\) | −1.50769e7 | − | 1.00028e8i | −0.0292272 | − | 0.193910i | ||||
\(803\) | 2.35970e8 | + | 3.46104e8i | 0.455733 | + | 0.668437i | ||||
\(804\) | −3.41146e6 | + | 1.10597e7i | −0.00656406 | + | 0.0212802i | ||||
\(805\) | 2.74766e7 | + | 3.66650e8i | 0.0526715 | + | 0.702852i | ||||
\(806\) | 2.24646e7 | + | 1.79149e7i | 0.0429035 | + | 0.0342144i | ||||
\(807\) | 1.24647e7 | + | 4.04095e7i | 0.0237170 | + | 0.0768888i | ||||
\(808\) | −2.62880e8 | + | 1.03173e8i | −0.498338 | + | 0.195583i | ||||
\(809\) | −9.84094e7 | − | 4.31160e8i | −0.185862 | − | 0.814316i | −0.978768 | − | 0.204971i | \(-0.934290\pi\) |
0.792906 | − | 0.609344i | \(-0.208567\pi\) | |||||||
\(810\) | 8.56151e7 | − | 1.48290e8i | 0.161100 | − | 0.279033i | ||||
\(811\) | −4.71091e8 | + | 2.71985e8i | −0.883166 | + | 0.509896i | −0.871701 | − | 0.490038i | \(-0.836983\pi\) |
−0.0114651 | + | 0.999934i | \(0.503650\pi\) | |||||||
\(812\) | 5.08294e8 | − | 4.71628e8i | 0.949395 | − | 0.880910i | ||||
\(813\) | −5.69939e7 | + | 4.54512e7i | −0.106061 | + | 0.0845811i | ||||
\(814\) | 9.39787e7 | + | 6.40736e7i | 0.174243 | + | 0.118797i | ||||
\(815\) | 5.09009e8 | + | 2.45126e8i | 0.940270 | + | 0.452810i | ||||
\(816\) | − | 1.22562e8i | − | 0.225572i | ||||||
\(817\) | −8.37496e8 | + | 2.65279e8i | −1.53574 | + | 0.486448i | ||||
\(818\) | −2.62952e8 | −0.480414 | ||||||||
\(819\) | −5.77654e7 | + | 1.19951e8i | −0.105152 | + | 0.218350i | ||||
\(820\) | −5.21175e8 | + | 7.64423e8i | −0.945240 | + | 1.38641i | ||||
\(821\) | −1.71142e8 | − | 2.14605e8i | −0.309262 | − | 0.387802i | 0.602774 | − | 0.797912i | \(-0.294062\pi\) |
−0.912036 | + | 0.410110i | \(0.865490\pi\) | |||||||
\(822\) | −4.88331e6 | − | 5.26296e6i | −0.00879223 | − | 0.00947577i | ||||
\(823\) | 1.67436e8 | + | 2.90008e8i | 0.300365 | + | 0.520248i | 0.976219 | − | 0.216788i | \(-0.0695581\pi\) |
−0.675853 | + | 0.737036i | \(0.736225\pi\) | |||||||
\(824\) | −1.30047e8 | − | 7.50827e7i | −0.232444 | − | 0.134202i | ||||
\(825\) | 5.02784e7 | − | 1.14757e7i | 0.0895406 | − | 0.0204371i | ||||
\(826\) | 3.36019e7 | + | 8.56162e7i | 0.0596243 | + | 0.151920i | ||||
\(827\) | −4.16202e8 | + | 1.28381e8i | −0.735848 | + | 0.226979i | −0.639955 | − | 0.768413i | \(-0.721047\pi\) |
−0.0958930 | + | 0.995392i | \(0.530571\pi\) | |||||||
\(828\) | 1.99449e8 | − | 2.50102e8i | 0.351351 | − | 0.440581i | ||||
\(829\) | 9.04222e8 | − | 6.77621e7i | 1.58713 | − | 0.118939i | 0.748308 | − | 0.663351i | \(-0.230866\pi\) |
0.838818 | + | 0.544412i | \(0.183247\pi\) | |||||||
\(830\) | −2.14576e8 | − | 6.61879e7i | −0.375272 | − | 0.115756i | ||||
\(831\) | 7.68129e7 | − | 5.23702e7i | 0.133854 | − | 0.0912601i | ||||
\(832\) | −8.16926e7 | + | 1.23132e7i | −0.141845 | + | 0.0213796i | ||||
\(833\) | 4.24321e7 | − | 1.85907e8i | 0.0734108 | − | 0.321634i | ||||
\(834\) | 3.93239e7 | + | 3.64872e7i | 0.0677889 | + | 0.0628989i | ||||
\(835\) | −1.46379e8 | − | 1.09696e7i | −0.251430 | − | 0.0188421i | ||||
\(836\) | −6.44098e8 | − | 2.52790e8i | −1.10238 | − | 0.432654i | ||||
\(837\) | 2.30156e7 | − | 1.52699e8i | 0.0392506 | − | 0.260410i | ||||
\(838\) | 1.66522e7 | − | 8.01929e6i | 0.0282970 | − | 0.0136271i | ||||
\(839\) | −1.38152e8 | − | 2.86876e8i | −0.233922 | − | 0.485745i | 0.750655 | − | 0.660694i | \(-0.229738\pi\) |
−0.984577 | + | 0.174949i | \(0.944024\pi\) | |||||||
\(840\) | 7.84623e7 | + | 1.18263e7i | 0.132380 | + | 0.0199531i | ||||
\(841\) | −3.55973e8 | + | 9.07005e8i | −0.598452 | + | 1.52483i | ||||
\(842\) | 1.89906e7 | − | 2.53412e8i | 0.0318129 | − | 0.424514i | ||||
\(843\) | 1.11133e8 | − | 1.19772e8i | 0.185506 | − | 0.199928i | ||||
\(844\) | 5.97364e8 | + | 1.36344e8i | 0.993601 | + | 0.226783i | ||||
\(845\) | 1.01890e8 | + | 6.75994e8i | 0.168873 | + | 1.12040i | ||||
\(846\) | −2.77435e7 | − | 4.06922e7i | −0.0458194 | − | 0.0672047i | ||||
\(847\) | −5.43770e7 | + | 1.76286e8i | −0.0894881 | + | 0.290113i | ||||
\(848\) | 5.03764e7 | + | 6.72226e8i | 0.0826113 | + | 1.10237i | ||||
\(849\) | 5.63936e7 | + | 4.49724e7i | 0.0921524 | + | 0.0734891i | ||||
\(850\) | 4.13325e7 | + | 1.33997e8i | 0.0673031 | + | 0.218191i | ||||
\(851\) | −3.22475e8 | + | 1.26562e8i | −0.523247 | + | 0.205359i | ||||
\(852\) | −1.67207e6 | − | 7.32580e6i | −0.00270355 | − | 0.0118450i | ||||
\(853\) | 4.83457e8 | − | 8.37372e8i | 0.778952 | − | 1.34918i | −0.153594 | − | 0.988134i | \(-0.549085\pi\) |
0.932546 | − | 0.361051i | \(-0.117582\pi\) | |||||||
\(854\) | 1.22963e8 | − | 7.09930e7i | 0.197425 | − | 0.113983i | ||||
\(855\) | 8.70900e8 | − | 8.08077e8i | 1.39338 | − | 1.29287i | ||||
\(856\) | 4.52984e8 | − | 3.61243e8i | 0.722207 | − | 0.575941i | ||||
\(857\) | −1.37914e8 | − | 9.40284e7i | −0.219112 | − | 0.149388i | 0.448790 | − | 0.893637i | \(-0.351855\pi\) |
−0.667902 | + | 0.744249i | \(0.732808\pi\) | |||||||
\(858\) | −8.61533e6 | − | 4.14892e6i | −0.0136399 | − | 0.00656861i | ||||
\(859\) | − | 1.11721e9i | − | 1.76260i | −0.472553 | − | 0.881302i | \(-0.656667\pi\) | ||
0.472553 | − | 0.881302i | \(-0.343333\pi\) | |||||||
\(860\) | 3.62262e8 | + | 6.16649e8i | 0.569543 | + | 0.969488i | ||||
\(861\) | 1.79149e8 | 0.280675 | ||||||||
\(862\) | 9.67080e7 | − | 2.00816e8i | 0.150987 | − | 0.313528i | ||||
\(863\) | −1.65910e8 | + | 2.43346e8i | −0.258132 | + | 0.378610i | −0.933326 | − | 0.359030i | \(-0.883107\pi\) |
0.675194 | + | 0.737640i | \(0.264060\pi\) | |||||||
\(864\) | −1.34340e8 | − | 1.68457e8i | −0.208287 | − | 0.261184i | ||||
\(865\) | −4.75124e8 | − | 5.12062e8i | −0.734106 | − | 0.791178i | ||||
\(866\) | 1.10910e8 | + | 1.92101e8i | 0.170772 | + | 0.295785i | ||||
\(867\) | −1.26459e8 | − | 7.30110e7i | −0.194040 | − | 0.112029i | ||||
\(868\) | −3.19533e8 | + | 7.29313e7i | −0.488603 | + | 0.111520i | ||||
\(869\) | 2.50953e8 | + | 6.39419e8i | 0.382414 | + | 0.974375i | ||||
\(870\) | −8.17118e7 | + | 2.52047e7i | −0.124087 | + | 0.0382758i | ||||
\(871\) | 1.36307e7 | − | 1.70923e7i | 0.0206283 | − | 0.0258671i | ||||
\(872\) | 3.00409e8 | − | 2.25125e7i | 0.453068 | − | 0.0339527i | ||||
\(873\) | −9.96833e8 | − | 3.07482e8i | −1.49823 | − | 0.462144i | ||||
\(874\) | −1.74052e8 | + | 1.18666e8i | −0.260702 | + | 0.177743i | ||||
\(875\) | −3.37977e8 | + | 5.09419e7i | −0.504502 | + | 0.0760415i | ||||
\(876\) | −2.91752e7 | + | 1.27825e8i | −0.0434011 | + | 0.190153i | ||||
\(877\) | −5.37442e8 | − | 4.98673e8i | −0.796769 | − | 0.739294i | 0.172576 | − | 0.984996i | \(-0.444791\pi\) |
−0.969345 | + | 0.245703i | \(0.920981\pi\) | |||||||
\(878\) | 2.72156e8 | + | 2.03953e7i | 0.402100 | + | 0.0301333i | ||||
\(879\) | −1.27984e8 | − | 5.02299e7i | −0.188446 | − | 0.0739598i | ||||
\(880\) | −7.47234e7 | + | 4.95758e8i | −0.109650 | + | 0.727480i | ||||
\(881\) | −9.09343e8 | + | 4.37916e8i | −1.32984 | + | 0.640418i | −0.957703 | − | 0.287759i | \(-0.907090\pi\) |
−0.372139 | + | 0.928177i | \(0.621375\pi\) | |||||||
\(882\) | −1.97523e7 | − | 4.10160e7i | −0.0287880 | − | 0.0597789i | ||||
\(883\) | 1.08368e9 | + | 1.63339e8i | 1.57406 | + | 0.237251i | 0.877259 | − | 0.480017i | \(-0.159369\pi\) |
0.696798 | + | 0.717268i | \(0.254608\pi\) | |||||||
\(884\) | −9.50279e7 | + | 2.42127e8i | −0.137561 | + | 0.350499i | ||||
\(885\) | −8.47951e6 | + | 1.13151e8i | −0.0122332 | + | 0.163241i | ||||
\(886\) | −1.66648e8 | + | 1.79604e8i | −0.239607 | + | 0.258235i | ||||
\(887\) | −5.11648e8 | − | 1.16780e8i | −0.733162 | − | 0.167339i | −0.160390 | − | 0.987054i | \(-0.551275\pi\) |
−0.572773 | + | 0.819714i | \(0.694132\pi\) | |||||||
\(888\) | 1.11426e7 | + | 7.39262e7i | 0.0159128 | + | 0.105575i | ||||
\(889\) | −6.85275e8 | − | 1.00511e9i | −0.975348 | − | 1.43057i | ||||
\(890\) | −3.61921e7 | + | 1.17332e8i | −0.0513385 | + | 0.166435i | ||||
\(891\) | −3.69375e7 | − | 4.92897e8i | −0.0522198 | − | 0.696824i | ||||
\(892\) | 3.40952e8 | + | 2.71901e8i | 0.480396 | + | 0.383103i | ||||
\(893\) | −9.56324e7 | − | 3.10033e8i | −0.134292 | − | 0.435365i | ||||
\(894\) | 6.43859e7 | − | 2.52696e7i | 0.0901111 | − | 0.0353660i | ||||
\(895\) | −2.50853e8 | − | 1.09906e9i | −0.349904 | − | 1.53303i | ||||
\(896\) | −2.98608e8 | + | 5.17204e8i | −0.415124 | + | 0.719015i | ||||
\(897\) | 2.52217e7 | − | 1.45617e7i | 0.0349459 | − | 0.0201760i | ||||
\(898\) | −9.71302e7 | + | 9.01236e7i | −0.134130 | + | 0.124454i | ||||
\(899\) | 5.79895e8 | − | 4.62451e8i | 0.798123 | − | 0.636482i | ||||
\(900\) | −2.76710e8 | − | 1.88658e8i | −0.379575 | − | 0.258790i | ||||
\(901\) | 1.41613e9 | + | 6.81974e8i | 1.93611 | + | 0.932381i | ||||
\(902\) | − | 2.66963e8i | − | 0.363774i | ||||||
\(903\) | 5.91421e7 | − | 1.25221e8i | 0.0803219 | − | 0.170065i | ||||
\(904\) | −1.76057e8 | −0.238313 | ||||||||
\(905\) | −4.72472e8 | + | 9.81097e8i | −0.637426 | + | 1.32363i | ||||
\(906\) | 1.82536e7 | − | 2.67731e7i | 0.0245450 | − | 0.0360009i | ||||
\(907\) | −7.76029e8 | − | 9.73110e8i | −1.04005 | − | 1.30419i | −0.951344 | − | 0.308130i | \(-0.900297\pi\) |
−0.0887107 | − | 0.996057i | \(-0.528275\pi\) | |||||||
\(908\) | −2.21964e8 | − | 2.39220e8i | −0.296500 | − | 0.319551i | ||||
\(909\) | −3.33266e8 | − | 5.77233e8i | −0.443710 | − | 0.768528i | ||||
\(910\) | −6.18112e7 | − | 3.56867e7i | −0.0820244 | − | 0.0473568i | ||||
\(911\) | −4.34537e8 | + | 9.91803e7i | −0.574741 | + | 0.131181i | −0.500005 | − | 0.866023i | \(-0.666668\pi\) |
−0.0747357 | + | 0.997203i | \(0.523811\pi\) | |||||||
\(912\) | −7.04228e7 | − | 1.79434e8i | −0.0928386 | − | 0.236549i | ||||
\(913\) | −6.19402e8 | + | 1.91060e8i | −0.813880 | + | 0.251049i | ||||
\(914\) | −7.62892e6 | + | 9.56637e6i | −0.00999136 | + | 0.0125288i | ||||
\(915\) | 1.74678e8 | − | 1.30903e7i | 0.228022 | − | 0.0170879i | ||||
\(916\) | −6.61315e8 | − | 2.03989e8i | −0.860442 | − | 0.265411i | ||||
\(917\) | 2.93243e8 | − | 1.99930e8i | 0.380294 | − | 0.259280i | ||||
\(918\) | −1.38176e8 | + | 2.08267e7i | −0.178610 | + | 0.0269211i | ||||
\(919\) | 2.36096e8 | − | 1.03440e9i | 0.304188 | − | 1.33273i | −0.559552 | − | 0.828796i | \(-0.689027\pi\) |
0.863739 | − | 0.503939i | \(-0.168116\pi\) | |||||||
\(920\) | 2.63993e8 | + | 2.44950e8i | 0.339023 | + | 0.314567i | ||||
\(921\) | −1.11490e8 | − | 8.35504e6i | −0.142711 | − | 0.0106947i | ||||
\(922\) | 1.14722e8 | + | 4.50252e7i | 0.146371 | + | 0.0574465i | ||||
\(923\) | −2.11544e6 | + | 1.40350e7i | −0.00269027 | + | 0.0178488i | ||||
\(924\) | 9.82720e7 | − | 4.73253e7i | 0.124570 | − | 0.0599898i | ||||
\(925\) | 1.57360e8 | + | 3.26762e8i | 0.198824 | + | 0.412863i | ||||
\(926\) | 1.31811e8 | + | 1.98673e7i | 0.166004 | + | 0.0250211i | ||||
\(927\) | 1.29486e8 | − | 3.29924e8i | 0.162548 | − | 0.414166i | ||||
\(928\) | 7.73381e7 | − | 1.03201e9i | 0.0967720 | − | 1.29133i | ||||
\(929\) | −8.91765e8 | + | 9.61094e8i | −1.11225 | + | 1.19872i | −0.134071 | + | 0.990972i | \(0.542805\pi\) |
−0.978182 | + | 0.207751i | \(0.933386\pi\) | |||||||
\(930\) | 3.94054e7 | + | 8.99403e6i | 0.0489900 | + | 0.0111816i | ||||
\(931\) | −4.46984e7 | − | 2.96554e8i | −0.0553914 | − | 0.367498i | ||||
\(932\) | 2.38859e8 | + | 3.50342e8i | 0.295049 | + | 0.432757i | ||||
\(933\) | −8.00920e6 | + | 2.59652e7i | −0.00986153 | + | 0.0319703i | ||||
\(934\) | 1.73557e7 | + | 2.31596e8i | 0.0213011 | + | 0.284244i | ||||
\(935\) | 9.13952e8 | + | 7.28852e8i | 1.11812 | + | 0.891671i | ||||
\(936\) | 3.84366e7 | + | 1.24608e8i | 0.0468725 | + | 0.151957i | ||||
\(937\) | 1.19219e9 | − | 4.67901e8i | 1.44920 | − | 0.568768i | 0.495253 | − | 0.868749i | \(-0.335075\pi\) |
0.953945 | + | 0.299980i | \(0.0969801\pi\) | |||||||
\(938\) | −5.54687e6 | − | 2.43024e7i | −0.00672108 | − | 0.0294470i | ||||
\(939\) | 2.64459e7 | − | 4.58056e7i | 0.0319419 | − | 0.0553250i | ||||
\(940\) | −2.28743e8 | + | 1.32065e8i | −0.275400 | + | 0.159002i | ||||
\(941\) | −2.45438e8 | + | 2.27734e8i | −0.294560 | + | 0.273312i | −0.813583 | − | 0.581448i | \(-0.802486\pi\) |
0.519023 | + | 0.854760i | \(0.326296\pi\) | |||||||
\(942\) | −1.99580e7 | + | 1.59159e7i | −0.0238761 | + | 0.0190406i | ||||
\(943\) | 6.71796e8 | + | 4.58023e8i | 0.801129 | + | 0.546201i | ||||
\(944\) | −3.44140e8 | − | 1.65729e8i | −0.409091 | − | 0.197008i | ||||
\(945\) | 3.83588e8i | 0.454537i | ||||||||
\(946\) | −1.86602e8 | − | 8.81322e7i | −0.220416 | − | 0.104102i | ||||
\(947\) | 1.18352e9 | 1.39356 | 0.696779 | − | 0.717286i | \(-0.254616\pi\) | ||||
0.696779 | + | 0.717286i | \(0.254616\pi\) | |||||||
\(948\) | −9.32844e7 | + | 1.93707e8i | −0.109492 | + | 0.227363i | ||||
\(949\) | 1.39510e8 | − | 2.04624e8i | 0.163233 | − | 0.239419i | ||||
\(950\) | 1.37505e8 | + | 1.72426e8i | 0.160379 | + | 0.201109i | ||||
\(951\) | −8.59143e7 | − | 9.25936e7i | −0.0998905 | − | 0.107656i | ||||
\(952\) | 3.11403e8 | + | 5.39365e8i | 0.360921 | + | 0.625133i | ||||
\(953\) | −7.08110e8 | − | 4.08827e8i | −0.818129 | − | 0.472347i | 0.0316418 | − | 0.999499i | \(-0.489926\pi\) |
−0.849771 | + | 0.527152i | \(0.823260\pi\) | |||||||
\(954\) | 3.65836e8 | − | 8.34997e7i | 0.421349 | − | 0.0961701i | ||||
\(955\) | −3.26944e8 | − | 8.33039e8i | −0.375373 | − | 0.956434i | ||||
\(956\) | −7.17250e7 | + | 2.21242e7i | −0.0820913 | + | 0.0253218i | ||||
\(957\) | −1.53901e8 | + | 1.92986e8i | −0.175593 | + | 0.220186i | ||||
\(958\) | −1.05068e8 | + | 7.87375e6i | −0.119502 | + | 0.00895540i | ||||
\(959\) | −1.47818e8 | − | 4.55957e7i | −0.167599 | − | 0.0516973i | ||||
\(960\) | −9.60207e7 | + | 6.54658e7i | −0.108530 | + | 0.0739947i | ||||
\(961\) | 5.30918e8 | − | 8.00229e7i | 0.598214 | − | 0.0901663i | ||||
\(962\) | 1.49639e7 | − | 6.55612e7i | 0.0168081 | − | 0.0736413i | ||||
\(963\) | 1.00244e9 | + | 9.30128e8i | 1.12248 | + | 1.04151i | ||||
\(964\) | 1.69417e8 | + | 1.26961e7i | 0.189115 | + | 0.0141722i | ||||
\(965\) | −8.32655e8 | − | 3.26793e8i | −0.926581 | − | 0.363656i | ||||
\(966\) | 4.94927e6 | − | 3.28363e7i | 0.00549047 | − | 0.0364269i | ||||
\(967\) | −8.00376e8 | + | 3.85441e8i | −0.885145 | + | 0.426263i | −0.820501 | − | 0.571645i | \(-0.806305\pi\) |
−0.0646439 | + | 0.997908i | \(0.520591\pi\) | |||||||
\(968\) | 7.84002e7 | + | 1.62800e8i | 0.0864353 | + | 0.179485i | ||||
\(969\) | −4.44426e8 | − | 6.69865e7i | −0.488459 | − | 0.0736234i | ||||
\(970\) | 2.04315e8 | − | 5.20586e8i | 0.223864 | − | 0.570397i | ||||
\(971\) | −2.50505e7 | + | 3.34275e8i | −0.0273626 | + | 0.365129i | 0.966668 | + | 0.256032i | \(0.0824151\pi\) |
−0.994031 | + | 0.109097i | \(0.965204\pi\) | |||||||
\(972\) | 3.43166e8 | − | 3.69845e8i | 0.373685 | − | 0.402736i | ||||
\(973\) | 1.12684e9 | + | 2.57193e8i | 1.22327 | + | 0.279204i | ||||
\(974\) | 3.46562e7 | + | 2.29929e8i | 0.0375063 | + | 0.248838i | ||||
\(975\) | −1.71757e7 | − | 2.51921e7i | −0.0185311 | − | 0.0271801i | ||||
\(976\) | −1.73807e8 | + | 5.63469e8i | −0.186947 | + | 0.606067i | ||||
\(977\) | 5.67715e6 | + | 7.57564e7i | 0.00608761 | + | 0.0812335i | 0.999420 | − | 0.0340513i | \(-0.0108410\pi\) |
−0.993332 | + | 0.115285i | \(0.963222\pi\) | |||||||
\(978\) | −3.98926e7 | − | 3.18133e7i | −0.0426458 | − | 0.0340089i | ||||
\(979\) | 1.04473e8 | + | 3.38694e8i | 0.111342 | + | 0.360961i | ||||
\(980\) | −2.27272e8 | + | 8.91978e7i | −0.241473 | + | 0.0947711i | ||||
\(981\) | 1.58217e8 | + | 6.93194e8i | 0.167589 | + | 0.734256i | ||||
\(982\) | 2.04288e8 | − | 3.53838e8i | 0.215729 | − | 0.373654i | ||||
\(983\) | 6.59476e8 | − | 3.80749e8i | 0.694286 | − | 0.400846i | −0.110930 | − | 0.993828i | \(-0.535383\pi\) |
0.805216 | + | 0.592982i | \(0.202049\pi\) | |||||||
\(984\) | 1.28629e8 | − | 1.19350e8i | 0.135006 | − | 0.125267i | ||||
\(985\) | −9.80647e8 | + | 7.82040e8i | −1.02613 | + | 0.818314i | ||||
\(986\) | −5.54549e8 | − | 3.78085e8i | −0.578508 | − | 0.394420i | ||||
\(987\) | 4.60800e7 | + | 2.21910e7i | 0.0479249 | + | 0.0230794i | ||||
\(988\) | 4.09083e8i | 0.424170i | ||||||||
\(989\) | 5.41928e8 | − | 3.18366e8i | 0.560213 | − | 0.329107i | ||||
\(990\) | 2.79081e8 | 0.287624 | ||||||||
\(991\) | 3.88372e8 | − | 8.06463e8i | 0.399050 | − | 0.828635i | −0.600529 | − | 0.799603i | \(-0.705043\pi\) |
0.999578 | − | 0.0290319i | \(-0.00924245\pi\) | |||||||
\(992\) | −2.75560e8 | + | 4.04172e8i | −0.282281 | + | 0.414030i | ||||
\(993\) | 1.96927e8 | + | 2.46938e8i | 0.201121 | + | 0.252197i | ||||
\(994\) | 1.10078e7 | + | 1.18636e7i | 0.0112083 | + | 0.0120797i | ||||
\(995\) | −1.04955e8 | − | 1.81787e8i | −0.106545 | − | 0.184541i | ||||
\(996\) | −1.75704e8 | − | 1.01443e8i | −0.177829 | − | 0.102670i | ||||
\(997\) | −5.47904e8 | + | 1.25055e8i | −0.552865 | + | 0.126188i | −0.489821 | − | 0.871823i | \(-0.662938\pi\) |
−0.0630436 | + | 0.998011i | \(0.520081\pi\) | |||||||
\(998\) | 1.83702e8 | + | 4.68064e8i | 0.184808 | + | 0.470884i | ||||
\(999\) | −3.45355e8 | + | 1.06528e8i | −0.346393 | + | 0.106848i |
(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.h.a.18.13 | yes | 252 | |
43.12 | odd | 42 | inner | 43.7.h.a.12.13 | ✓ | 252 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.7.h.a.12.13 | ✓ | 252 | 43.12 | odd | 42 | inner | |
43.7.h.a.18.13 | yes | 252 | 1.1 | even | 1 | trivial |