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 | 29.16 | ||
Character | \(\chi\) | \(=\) | 43.29 |
Dual form | 43.7.h.a.3.16 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{41}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 3.92333 | + | 8.14687i | 0.490416 | + | 1.01836i | 0.988499 | + | 0.151230i | \(0.0483233\pi\) |
−0.498083 | + | 0.867130i | \(0.665962\pi\) | |||||||
\(3\) | 7.09953 | − | 0.532036i | 0.262946 | − | 0.0197050i | 0.0573950 | − | 0.998352i | \(-0.481721\pi\) |
0.205551 | + | 0.978646i | \(0.434101\pi\) | |||||||
\(4\) | −11.0757 | + | 13.8885i | −0.173058 | + | 0.217008i | ||||
\(5\) | 43.9242 | + | 142.399i | 0.351394 | + | 1.13919i | 0.942952 | + | 0.332928i | \(0.108037\pi\) |
−0.591559 | + | 0.806262i | \(0.701487\pi\) | |||||||
\(6\) | 32.1882 | + | 55.7516i | 0.149020 | + | 0.258109i | ||||
\(7\) | −72.9514 | − | 42.1185i | −0.212686 | − | 0.122794i | 0.389873 | − | 0.920869i | \(-0.372519\pi\) |
−0.602559 | + | 0.798074i | \(0.705852\pi\) | |||||||
\(8\) | 407.599 | + | 93.0319i | 0.796092 | + | 0.181703i | ||||
\(9\) | −670.737 | + | 101.097i | −0.920079 | + | 0.138680i | ||||
\(10\) | −987.776 | + | 916.522i | −0.987776 | + | 0.916522i | ||||
\(11\) | 1140.28 | + | 1429.87i | 0.856710 | + | 1.07428i | 0.996458 | + | 0.0840938i | \(0.0267995\pi\) |
−0.139747 | + | 0.990187i | \(0.544629\pi\) | |||||||
\(12\) | −71.2432 | + | 104.495i | −0.0412287 | + | 0.0604714i | ||||
\(13\) | 798.493 | + | 740.893i | 0.363447 | + | 0.337229i | 0.840665 | − | 0.541555i | \(-0.182164\pi\) |
−0.477218 | + | 0.878785i | \(0.658355\pi\) | |||||||
\(14\) | 56.9219 | − | 759.570i | 0.0207441 | − | 0.276811i | ||||
\(15\) | 387.603 | + | 987.595i | 0.114845 | + | 0.292621i | ||||
\(16\) | 1094.21 | + | 4794.05i | 0.267141 | + | 1.17042i | ||||
\(17\) | −9192.36 | − | 2835.47i | −1.87103 | − | 0.577136i | −0.995591 | − | 0.0938025i | \(-0.970098\pi\) |
−0.875437 | − | 0.483333i | \(-0.839426\pi\) | |||||||
\(18\) | −3455.15 | − | 5067.78i | −0.592447 | − | 0.868960i | ||||
\(19\) | −423.918 | + | 2812.51i | −0.0618046 | + | 0.410047i | 0.936440 | + | 0.350827i | \(0.114099\pi\) |
−0.998245 | + | 0.0592200i | \(0.981139\pi\) | |||||||
\(20\) | −2464.20 | − | 967.126i | −0.308025 | − | 0.120891i | ||||
\(21\) | −540.329 | − | 260.209i | −0.0583446 | − | 0.0280973i | ||||
\(22\) | −7175.26 | + | 14899.6i | −0.673860 | + | 1.39928i | ||||
\(23\) | 7075.99 | − | 18029.3i | 0.581572 | − | 1.48182i | −0.272754 | − | 0.962084i | \(-0.587935\pi\) |
0.854326 | − | 0.519737i | \(-0.173970\pi\) | |||||||
\(24\) | 2943.26 | + | 443.625i | 0.212909 | + | 0.0320909i | ||||
\(25\) | −5438.09 | + | 3707.63i | −0.348038 | + | 0.237288i | ||||
\(26\) | −2903.21 | + | 9411.98i | −0.165181 | + | 0.535502i | ||||
\(27\) | −9768.08 | + | 2229.50i | −0.496270 | + | 0.113270i | ||||
\(28\) | 1392.95 | − | 546.693i | 0.0634544 | − | 0.0249040i | ||||
\(29\) | 17389.7 | + | 1303.18i | 0.713013 | + | 0.0534329i | 0.426298 | − | 0.904583i | \(-0.359818\pi\) |
0.286715 | + | 0.958016i | \(0.407437\pi\) | |||||||
\(30\) | −6525.12 | + | 7032.41i | −0.241671 | + | 0.260460i | ||||
\(31\) | 44993.2 | + | 30675.8i | 1.51029 | + | 1.02970i | 0.983748 | + | 0.179554i | \(0.0574655\pi\) |
0.526546 | + | 0.850147i | \(0.323487\pi\) | |||||||
\(32\) | −13843.9 | + | 11040.2i | −0.422484 | + | 0.336920i | ||||
\(33\) | 8856.21 | + | 9544.72i | 0.246437 | + | 0.265596i | ||||
\(34\) | −12964.4 | − | 86013.4i | −0.329850 | − | 2.18841i | ||||
\(35\) | 2793.29 | − | 12238.2i | 0.0651496 | − | 0.285439i | ||||
\(36\) | 6024.80 | − | 10435.3i | 0.129132 | − | 0.223664i | ||||
\(37\) | 84503.8 | − | 48788.3i | 1.66829 | − | 0.963187i | 0.699728 | − | 0.714409i | \(-0.253304\pi\) |
0.968561 | − | 0.248778i | \(-0.0800289\pi\) | |||||||
\(38\) | −24576.4 | + | 7580.80i | −0.447885 | + | 0.138154i | ||||
\(39\) | 6063.11 | + | 4835.17i | 0.102212 | + | 0.0815112i | ||||
\(40\) | 4655.85 | + | 62128.0i | 0.0727476 | + | 0.970750i | ||||
\(41\) | 2649.15 | − | 1275.76i | 0.0384374 | − | 0.0185105i | −0.414566 | − | 0.910019i | \(-0.636067\pi\) |
0.453004 | + | 0.891509i | \(0.350352\pi\) | |||||||
\(42\) | − | 5422.88i | − | 0.0731951i | ||||||
\(43\) | −74858.4 | + | 26787.8i | −0.941532 | + | 0.336924i | ||||
\(44\) | −32488.2 | −0.381388 | ||||||||
\(45\) | −43857.7 | − | 91071.5i | −0.481292 | − | 0.999413i | ||||
\(46\) | 174644. | − | 13087.8i | 1.79424 | − | 0.134460i | ||||
\(47\) | 53629.5 | − | 67249.2i | 0.516547 | − | 0.647730i | −0.453325 | − | 0.891345i | \(-0.649762\pi\) |
0.969872 | + | 0.243616i | \(0.0783336\pi\) | |||||||
\(48\) | 10319.0 | + | 33453.4i | 0.0933069 | + | 0.302493i | ||||
\(49\) | −55276.6 | − | 95741.8i | −0.469843 | − | 0.813792i | ||||
\(50\) | −51541.0 | − | 29757.2i | −0.412328 | − | 0.238058i | ||||
\(51\) | −66770.0 | − | 15239.8i | −0.503351 | − | 0.114887i | ||||
\(52\) | −19133.8 | + | 2883.95i | −0.136079 | + | 0.0205106i | ||||
\(53\) | 125503. | − | 116450.i | 0.843000 | − | 0.782189i | −0.134989 | − | 0.990847i | \(-0.543100\pi\) |
0.977989 | + | 0.208658i | \(0.0669095\pi\) | |||||||
\(54\) | −56486.8 | − | 70832.3i | −0.358729 | − | 0.449831i | ||||
\(55\) | −153525. | + | 225181.i | −0.922768 | + | 1.35345i | ||||
\(56\) | −25816.6 | − | 23954.3i | −0.147006 | − | 0.136401i | ||||
\(57\) | −1513.26 | + | 20193.1i | −0.00817126 | + | 0.109038i | ||||
\(58\) | 57608.6 | + | 146784.i | 0.295259 | + | 0.752307i | ||||
\(59\) | −45877.6 | − | 201003.i | −0.223380 | − | 0.978692i | −0.954913 | − | 0.296886i | \(-0.904052\pi\) |
0.731533 | − | 0.681806i | \(-0.238805\pi\) | |||||||
\(60\) | −18009.2 | − | 5555.10i | −0.0833759 | − | 0.0257181i | ||||
\(61\) | 24145.2 | + | 35414.5i | 0.106375 | + | 0.156024i | 0.875735 | − | 0.482791i | \(-0.160377\pi\) |
−0.769360 | + | 0.638816i | \(0.779425\pi\) | |||||||
\(62\) | −73389.1 | + | 486905.i | −0.307933 | + | 2.04300i | ||||
\(63\) | 53189.3 | + | 20875.3i | 0.212717 | + | 0.0834853i | ||||
\(64\) | 139286. | + | 67076.7i | 0.531335 | + | 0.255877i | ||||
\(65\) | −70429.1 | + | 146247.i | −0.256455 | + | 0.532535i | ||||
\(66\) | −43013.8 | + | 109597.i | −0.149615 | + | 0.381214i | ||||
\(67\) | 119714. | + | 18044.0i | 0.398034 | + | 0.0599940i | 0.345009 | − | 0.938599i | \(-0.387876\pi\) |
0.0530246 | + | 0.998593i | \(0.483114\pi\) | |||||||
\(68\) | 141192. | − | 96263.3i | 0.449039 | − | 0.306150i | ||||
\(69\) | 40643.9 | − | 131764.i | 0.123722 | − | 0.401098i | ||||
\(70\) | 110662. | − | 25257.9i | 0.322630 | − | 0.0736382i | ||||
\(71\) | −496147. | + | 194723.i | −1.38623 | + | 0.544055i | −0.936990 | − | 0.349356i | \(-0.886400\pi\) |
−0.449240 | + | 0.893411i | \(0.648305\pi\) | |||||||
\(72\) | −282797. | − | 21192.7i | −0.757666 | − | 0.0567792i | ||||
\(73\) | −370670. | + | 399487.i | −0.952838 | + | 1.02691i | 0.0467701 | + | 0.998906i | \(0.485107\pi\) |
−0.999608 | + | 0.0280090i | \(0.991083\pi\) | |||||||
\(74\) | 729009. | + | 497030.i | 1.79903 | + | 1.22656i | ||||
\(75\) | −36635.3 | + | 29215.7i | −0.0868392 | + | 0.0692520i | ||||
\(76\) | −34366.4 | − | 37038.2i | −0.0782876 | − | 0.0843740i | ||||
\(77\) | −22961.2 | − | 152338.i | −0.0502948 | − | 0.333684i | ||||
\(78\) | −15603.9 | + | 68365.3i | −0.0328814 | + | 0.144063i | ||||
\(79\) | 24923.9 | − | 43169.4i | 0.0505515 | − | 0.0875578i | −0.839642 | − | 0.543140i | \(-0.817235\pi\) |
0.890194 | + | 0.455582i | \(0.150569\pi\) | |||||||
\(80\) | −634604. | + | 366389.i | −1.23946 | + | 0.715604i | ||||
\(81\) | 404359. | − | 124728.i | 0.760873 | − | 0.234698i | ||||
\(82\) | 20786.9 | + | 16577.0i | 0.0377007 | + | 0.0300653i | ||||
\(83\) | −60618.8 | − | 808902.i | −0.106016 | − | 1.41469i | −0.755915 | − | 0.654670i | \(-0.772808\pi\) |
0.649898 | − | 0.760021i | \(-0.274811\pi\) | |||||||
\(84\) | 9598.44 | − | 4622.37i | 0.0161943 | − | 0.00779878i | ||||
\(85\) | − | 1.43353e6i | − | 2.33426i | ||||||
\(86\) | −511931. | − | 504765.i | −0.804852 | − | 0.793585i | ||||
\(87\) | 124152. | 0.188536 | ||||||||
\(88\) | 331755. | + | 688896.i | 0.486821 | + | 1.01089i | ||||
\(89\) | −256139. | + | 19195.0i | −0.363334 | + | 0.0272281i | −0.255146 | − | 0.966902i | \(-0.582124\pi\) |
−0.108187 | + | 0.994131i | \(0.534505\pi\) | |||||||
\(90\) | 569880. | − | 714607.i | 0.781729 | − | 0.980257i | ||||
\(91\) | −27045.8 | − | 87680.5i | −0.0358902 | − | 0.116353i | ||||
\(92\) | 172029. | + | 297962.i | 0.220921 | + | 0.382647i | ||||
\(93\) | 335751. | + | 193846.i | 0.417415 | + | 0.240995i | ||||
\(94\) | 758277. | + | 173072.i | 0.912944 | + | 0.208374i | ||||
\(95\) | −419118. | + | 63171.9i | −0.488839 | + | 0.0736807i | ||||
\(96\) | −92411.8 | + | 85745.6i | −0.104451 | + | 0.0969166i | ||||
\(97\) | −137751. | − | 172734.i | −0.150931 | − | 0.189262i | 0.700618 | − | 0.713537i | \(-0.252908\pi\) |
−0.851549 | + | 0.524275i | \(0.824336\pi\) | |||||||
\(98\) | 563128. | − | 825958.i | 0.598314 | − | 0.877566i | ||||
\(99\) | −909385. | − | 843786.i | −0.937222 | − | 0.869615i | ||||
\(100\) | 8737.33 | − | 116592.i | 0.00873733 | − | 0.116592i | ||||
\(101\) | 118813. | + | 302731.i | 0.115319 | + | 0.293828i | 0.976867 | − | 0.213848i | \(-0.0685998\pi\) |
−0.861548 | + | 0.507676i | \(0.830505\pi\) | |||||||
\(102\) | −137804. | − | 603758.i | −0.129856 | − | 0.568934i | ||||
\(103\) | 131619. | + | 40599.0i | 0.120450 | + | 0.0371538i | 0.354394 | − | 0.935096i | \(-0.384687\pi\) |
−0.233944 | + | 0.972250i | \(0.575163\pi\) | |||||||
\(104\) | 256538. | + | 376273.i | 0.228062 | + | 0.334505i | ||||
\(105\) | 13319.9 | − | 88371.7i | 0.0115062 | − | 0.0763388i | ||||
\(106\) | 1.44109e6 | + | 565588.i | 1.20997 | + | 0.474878i | ||||
\(107\) | 1.08580e6 | + | 522892.i | 0.886333 | + | 0.426836i | 0.820934 | − | 0.571024i | \(-0.193453\pi\) |
0.0653996 | + | 0.997859i | \(0.479168\pi\) | |||||||
\(108\) | 77224.0 | − | 160357.i | 0.0613029 | − | 0.127297i | ||||
\(109\) | −342273. | + | 872099.i | −0.264298 | + | 0.673420i | −0.999992 | − | 0.00389338i | \(-0.998761\pi\) |
0.735694 | + | 0.677314i | \(0.236856\pi\) | |||||||
\(110\) | −2.43685e6 | − | 367296.i | −1.83084 | − | 0.275955i | ||||
\(111\) | 573980. | − | 391333.i | 0.419690 | − | 0.286140i | ||||
\(112\) | 122094. | − | 395819.i | 0.0869041 | − | 0.281736i | ||||
\(113\) | −1.82050e6 | + | 415518.i | −1.26170 | + | 0.287975i | −0.800506 | − | 0.599324i | \(-0.795436\pi\) |
−0.461194 | + | 0.887299i | \(0.652579\pi\) | |||||||
\(114\) | −170447. | + | 66895.6i | −0.115047 | + | 0.0451527i | ||||
\(115\) | 2.87816e6 | + | 215688.i | 1.89244 | + | 0.141819i | ||||
\(116\) | −210702. | + | 227083.i | −0.134988 | + | 0.145482i | ||||
\(117\) | −610481. | − | 416219.i | −0.381166 | − | 0.259875i | ||||
\(118\) | 1.45755e6 | − | 1.16236e6i | 0.887111 | − | 0.707447i | ||||
\(119\) | 551170. | + | 594020.i | 0.327073 | + | 0.352501i | ||||
\(120\) | 66108.7 | + | 438602.i | 0.0382573 | + | 0.253821i | ||||
\(121\) | −350071. | + | 1.53376e6i | −0.197606 | + | 0.865768i | ||||
\(122\) | −193788. | + | 335651.i | −0.106720 | + | 0.184845i | ||||
\(123\) | 18129.0 | − | 10466.8i | 0.00974221 | − | 0.00562467i | ||||
\(124\) | −924373. | + | 285131.i | −0.484822 | + | 0.149548i | ||||
\(125\) | 1.05361e6 | + | 840227.i | 0.539449 | + | 0.430196i | ||||
\(126\) | 38610.9 | + | 515227.i | 0.0193018 | + | 0.257565i | ||||
\(127\) | −1.10666e6 | + | 532941.i | −0.540262 | + | 0.260176i | −0.684054 | − | 0.729432i | \(-0.739785\pi\) |
0.143792 | + | 0.989608i | \(0.454070\pi\) | |||||||
\(128\) | 2.53116e6i | 1.20695i | ||||||||
\(129\) | −517207. | + | 230008.i | −0.240933 | + | 0.107146i | ||||
\(130\) | −1.46778e6 | −0.668082 | ||||||||
\(131\) | −508126. | − | 1.05514e6i | −0.226026 | − | 0.469347i | 0.756857 | − | 0.653581i | \(-0.226734\pi\) |
−0.982883 | + | 0.184233i | \(0.941020\pi\) | |||||||
\(132\) | −230651. | + | 17284.9i | −0.100284 | + | 0.00751527i | ||||
\(133\) | 149384. | − | 187322.i | 0.0634965 | − | 0.0796221i | ||||
\(134\) | 322675. | + | 1.04609e6i | 0.134107 | + | 0.434764i | ||||
\(135\) | −746533. | − | 1.29303e6i | −0.303422 | − | 0.525543i | ||||
\(136\) | −3.48301e6 | − | 2.01092e6i | −1.38464 | − | 0.799424i | ||||
\(137\) | 1.57423e6 | + | 359307.i | 0.612217 | + | 0.139735i | 0.517376 | − | 0.855758i | \(-0.326909\pi\) |
0.0948405 | + | 0.995492i | \(0.469766\pi\) | |||||||
\(138\) | 1.23293e6 | − | 185834.i | 0.469138 | − | 0.0707111i | ||||
\(139\) | 974811. | − | 904493.i | 0.362975 | − | 0.336791i | −0.477510 | − | 0.878626i | \(-0.658461\pi\) |
0.840485 | + | 0.541835i | \(0.182270\pi\) | |||||||
\(140\) | 139033. | + | 174342.i | 0.0506679 | + | 0.0635355i | ||||
\(141\) | 344965. | − | 505971.i | 0.123060 | − | 0.180496i | ||||
\(142\) | −3.53293e6 | − | 3.27808e6i | −1.23387 | − | 1.14487i | ||||
\(143\) | −148873. | + | 1.98657e6i | −0.0509104 | + | 0.679352i | ||||
\(144\) | −1.21859e6 | − | 3.10493e6i | −0.408105 | − | 1.03983i | ||||
\(145\) | 578257. | + | 2.53351e6i | 0.189678 | + | 0.831033i | ||||
\(146\) | −4.70883e6 | − | 1.45248e6i | −1.51305 | − | 0.466716i | ||||
\(147\) | −443376. | − | 650313.i | −0.139579 | − | 0.204725i | ||||
\(148\) | −258344. | + | 1.71400e6i | −0.0796916 | + | 0.528719i | ||||
\(149\) | 707242. | + | 277572.i | 0.213801 | + | 0.0839106i | 0.469824 | − | 0.882760i | \(-0.344317\pi\) |
−0.256024 | + | 0.966671i | \(0.582412\pi\) | |||||||
\(150\) | −381749. | − | 183841.i | −0.113111 | − | 0.0544713i | ||||
\(151\) | 398264. | − | 827003.i | 0.115675 | − | 0.240202i | −0.835091 | − | 0.550112i | \(-0.814585\pi\) |
0.950766 | + | 0.309911i | \(0.100299\pi\) | |||||||
\(152\) | −434442. | + | 1.10694e6i | −0.123709 | + | 0.315205i | ||||
\(153\) | 6.45232e6 | + | 972530.i | 1.80153 | + | 0.271537i | ||||
\(154\) | 1.15099e6 | − | 784733.i | 0.315145 | − | 0.214862i | ||||
\(155\) | −2.39191e6 | + | 7.75438e6i | −0.642317 | + | 2.08234i | ||||
\(156\) | −134306. | + | 30654.6i | −0.0353772 | + | 0.00807461i | ||||
\(157\) | 1.94810e6 | − | 764575.i | 0.503400 | − | 0.197570i | −0.100032 | − | 0.994984i | \(-0.531895\pi\) |
0.603432 | + | 0.797414i | \(0.293799\pi\) | |||||||
\(158\) | 449480. | + | 33683.9i | 0.113957 | + | 0.00853987i | ||||
\(159\) | 829059. | − | 893513.i | 0.206250 | − | 0.222285i | ||||
\(160\) | −2.18019e6 | − | 1.48643e6i | −0.532274 | − | 0.362898i | ||||
\(161\) | −1.27557e6 | + | 1.01723e6i | −0.305652 | + | 0.243749i | ||||
\(162\) | 2.60258e6 | + | 2.80491e6i | 0.612152 | + | 0.659742i | ||||
\(163\) | 290574. | + | 1.92783e6i | 0.0670956 | + | 0.445150i | 0.997003 | + | 0.0773576i | \(0.0246483\pi\) |
−0.929908 | + | 0.367793i | \(0.880114\pi\) | |||||||
\(164\) | −11622.8 | + | 50922.7i | −0.00263498 | + | 0.0115446i | ||||
\(165\) | −970155. | + | 1.68036e6i | −0.215968 | + | 0.374067i | ||||
\(166\) | 6.35220e6 | − | 3.66744e6i | 1.38867 | − | 0.801750i | ||||
\(167\) | −4.89633e6 | + | 1.51032e6i | −1.05129 | + | 0.324279i | −0.771796 | − | 0.635870i | \(-0.780641\pi\) |
−0.279490 | + | 0.960149i | \(0.590165\pi\) | |||||||
\(168\) | −196030. | − | 156329.i | −0.0413423 | − | 0.0329694i | ||||
\(169\) | −272040. | − | 3.63012e6i | −0.0563602 | − | 0.752074i | ||||
\(170\) | 1.16788e7 | − | 5.62419e6i | 2.37711 | − | 1.14476i | ||||
\(171\) | − | 1.92931e6i | − | 0.385847i | ||||||
\(172\) | 457068. | − | 1.33636e6i | 0.0898246 | − | 0.262627i | ||||
\(173\) | 5.71009e6 | 1.10282 | 0.551410 | − | 0.834235i | \(-0.314090\pi\) | ||||
0.551410 | + | 0.834235i | \(0.314090\pi\) | |||||||
\(174\) | 487088. | + | 1.01145e6i | 0.0924613 | + | 0.191998i | ||||
\(175\) | 552876. | − | 41432.3i | 0.103161 | − | 0.00773081i | ||||
\(176\) | −5.60715e6 | + | 7.03114e6i | −1.02850 | + | 1.28970i | ||||
\(177\) | −432650. | − | 1.40262e6i | −0.0780220 | − | 0.252941i | ||||
\(178\) | −1.16130e6 | − | 2.01142e6i | −0.205913 | − | 0.356651i | ||||
\(179\) | −6.70421e6 | − | 3.87068e6i | −1.16893 | − | 0.674882i | −0.215502 | − | 0.976503i | \(-0.569139\pi\) |
−0.953428 | + | 0.301622i | \(0.902472\pi\) | |||||||
\(180\) | 1.75060e6 | + | 399564.i | 0.300172 | + | 0.0685123i | ||||
\(181\) | −7.49077e6 | + | 1.12905e6i | −1.26325 | + | 0.190405i | −0.746301 | − | 0.665609i | \(-0.768172\pi\) |
−0.516953 | + | 0.856014i | \(0.672934\pi\) | |||||||
\(182\) | 608212. | − | 564338.i | 0.100888 | − | 0.0936107i | ||||
\(183\) | 190261. | + | 238580.i | 0.0310454 | + | 0.0389297i | ||||
\(184\) | 4.56147e6 | − | 6.69044e6i | 0.732236 | − | 1.07399i | ||||
\(185\) | 1.06592e7 | + | 9.89025e6i | 1.68348 | + | 1.56204i | ||||
\(186\) | −261977. | + | 3.49584e6i | −0.0407122 | + | 0.543267i | ||||
\(187\) | −6.42753e6 | − | 1.63771e7i | −0.982923 | − | 2.50445i | ||||
\(188\) | 340007. | + | 1.48967e6i | 0.0511698 | + | 0.224190i | ||||
\(189\) | 806498. | + | 248772.i | 0.119459 | + | 0.0368481i | ||||
\(190\) | −2.15899e6 | − | 3.16666e6i | −0.314768 | − | 0.461680i | ||||
\(191\) | −129500. | + | 859178.i | −0.0185853 | + | 0.123306i | −0.996200 | − | 0.0870995i | \(-0.972240\pi\) |
0.977614 | + | 0.210405i | \(0.0674783\pi\) | |||||||
\(192\) | 1.02455e6 | + | 402108.i | 0.144754 | + | 0.0568119i | ||||
\(193\) | −2.32945e6 | − | 1.12181e6i | −0.324028 | − | 0.156043i | 0.264797 | − | 0.964304i | \(-0.414695\pi\) |
−0.588825 | + | 0.808261i | \(0.700409\pi\) | |||||||
\(194\) | 866801. | − | 1.79993e6i | 0.118717 | − | 0.246519i | ||||
\(195\) | −422204. | + | 1.07576e6i | −0.0569402 | + | 0.145081i | ||||
\(196\) | 1.94194e6 | + | 292700.i | 0.257909 | + | 0.0388736i | ||||
\(197\) | 4.67865e6 | − | 3.18985e6i | 0.611958 | − | 0.417226i | −0.217289 | − | 0.976107i | \(-0.569722\pi\) |
0.829248 | + | 0.558881i | \(0.188769\pi\) | |||||||
\(198\) | 3.30640e6 | − | 1.07191e7i | 0.425952 | − | 1.38090i | ||||
\(199\) | 1.33114e6 | − | 303824.i | 0.168914 | − | 0.0385534i | −0.137228 | − | 0.990540i | \(-0.543819\pi\) |
0.306141 | + | 0.951986i | \(0.400962\pi\) | |||||||
\(200\) | −2.56149e6 | + | 1.00531e6i | −0.320186 | + | 0.125664i | ||||
\(201\) | 859513. | + | 64411.6i | 0.105843 | + | 0.00793187i | ||||
\(202\) | −2.00017e6 | + | 2.15567e6i | −0.242668 | + | 0.261534i | ||||
\(203\) | −1.21371e6 | − | 827495.i | −0.145087 | − | 0.0989185i | ||||
\(204\) | 951184. | − | 758544.i | 0.112040 | − | 0.0893491i | ||||
\(205\) | 298029. | + | 321198.i | 0.0345936 | + | 0.0372831i | ||||
\(206\) | 185628. | + | 1.23156e6i | 0.0212345 | + | 0.140882i | ||||
\(207\) | −2.92341e6 | + | 1.28083e7i | −0.329594 | + | 1.44404i | ||||
\(208\) | −2.67816e6 | + | 4.63871e6i | −0.297609 | + | 0.515474i | ||||
\(209\) | −4.50491e6 | + | 2.60091e6i | −0.493454 | + | 0.284896i | ||||
\(210\) | 772211. | − | 238196.i | 0.0833831 | − | 0.0257203i | ||||
\(211\) | 1.86024e6 | + | 1.48349e6i | 0.198026 | + | 0.157920i | 0.717483 | − | 0.696576i | \(-0.245294\pi\) |
−0.519457 | + | 0.854497i | \(0.673866\pi\) | |||||||
\(212\) | 227278. | + | 3.03282e6i | 0.0238534 | + | 0.318302i | ||||
\(213\) | −3.41881e6 | + | 1.64641e6i | −0.353782 | + | 0.170373i | ||||
\(214\) | 1.08973e7i | 1.11193i | ||||||||
\(215\) | −7.10264e6 | − | 9.48311e6i | −0.714668 | − | 0.954191i | ||||
\(216\) | −4.18888e6 | −0.415658 | ||||||||
\(217\) | −1.99029e6 | − | 4.13289e6i | −0.194777 | − | 0.404459i | ||||
\(218\) | −8.44773e6 | + | 633070.i | −0.815400 | + | 0.0611058i | ||||
\(219\) | −2.41904e6 | + | 3.03338e6i | −0.230309 | + | 0.288798i | ||||
\(220\) | −1.42702e6 | − | 4.62627e6i | −0.134017 | − | 0.434474i | ||||
\(221\) | −5.23925e6 | − | 9.07465e6i | −0.485392 | − | 0.840723i | ||||
\(222\) | 5.44006e6 | + | 3.14082e6i | 0.497215 | + | 0.287067i | ||||
\(223\) | 7.90221e6 | + | 1.80363e6i | 0.712581 | + | 0.162642i | 0.563420 | − | 0.826171i | \(-0.309485\pi\) |
0.149161 | + | 0.988813i | \(0.452343\pi\) | |||||||
\(224\) | 1.47493e6 | − | 222310.i | 0.131228 | − | 0.0197795i | ||||
\(225\) | 3.27270e6 | − | 3.03662e6i | 0.287315 | − | 0.266589i | ||||
\(226\) | −1.05276e7 | − | 1.32012e7i | −0.912020 | − | 1.14364i | ||||
\(227\) | −8.83493e6 | + | 1.29585e7i | −0.755310 | + | 1.10784i | 0.235407 | + | 0.971897i | \(0.424358\pi\) |
−0.990717 | + | 0.135940i | \(0.956595\pi\) | |||||||
\(228\) | −263691. | − | 244669.i | −0.0222480 | − | 0.0206431i | ||||
\(229\) | 97849.7 | − | 1.30571e6i | 0.00814804 | − | 0.108728i | −0.991647 | − | 0.128983i | \(-0.958829\pi\) |
0.999795 | + | 0.0202550i | \(0.00644779\pi\) | |||||||
\(230\) | 9.53478e6 | + | 2.42942e7i | 0.783659 | + | 1.99673i | ||||
\(231\) | −244063. | − | 1.06931e6i | −0.0198001 | − | 0.0867497i | ||||
\(232\) | 6.96678e6 | + | 2.14897e6i | 0.557915 | + | 0.172094i | ||||
\(233\) | 1.17888e7 | + | 1.72910e7i | 0.931968 | + | 1.36695i | 0.930242 | + | 0.366947i | \(0.119597\pi\) |
0.00172619 | + | 0.999999i | \(0.499451\pi\) | |||||||
\(234\) | 995766. | − | 6.60648e6i | 0.0777159 | − | 0.515611i | ||||
\(235\) | 1.19318e7 | + | 4.68290e6i | 0.919399 | + | 0.360837i | ||||
\(236\) | 3.29976e6 | + | 1.58908e6i | 0.251042 | + | 0.120895i | ||||
\(237\) | 153980. | − | 319743.i | 0.0115670 | − | 0.0240191i | ||||
\(238\) | −2.67698e6 | + | 6.82084e6i | −0.198571 | + | 0.505950i | ||||
\(239\) | −1.75147e7 | − | 2.63991e6i | −1.28294 | − | 0.193373i | −0.528047 | − | 0.849215i | \(-0.677075\pi\) |
−0.754898 | + | 0.655842i | \(0.772314\pi\) | |||||||
\(240\) | −4.31046e6 | + | 2.93882e6i | −0.311810 | + | 0.212588i | ||||
\(241\) | −4.82804e6 | + | 1.56521e7i | −0.344921 | + | 1.11821i | 0.602473 | + | 0.798139i | \(0.294182\pi\) |
−0.947394 | + | 0.320068i | \(0.896294\pi\) | |||||||
\(242\) | −1.38688e7 | + | 3.16546e6i | −0.978572 | + | 0.223353i | ||||
\(243\) | 9.60356e6 | − | 3.76912e6i | 0.669288 | − | 0.262676i | ||||
\(244\) | −759280. | − | 56900.2i | −0.0522676 | − | 0.00391692i | ||||
\(245\) | 1.12055e7 | − | 1.20767e7i | 0.761964 | − | 0.821202i | ||||
\(246\) | 156397. | + | 106630.i | 0.0105057 | + | 0.00716264i | ||||
\(247\) | −2.42227e6 | + | 1.93169e6i | −0.160743 | + | 0.128188i | ||||
\(248\) | 1.54854e7 | + | 1.66892e7i | 1.01523 | + | 1.09416i | ||||
\(249\) | −860730. | − | 5.71057e6i | −0.0557531 | − | 0.369898i | ||||
\(250\) | −2.71156e6 | + | 1.18801e7i | −0.173540 | + | 0.760328i | ||||
\(251\) | −4.55421e6 | + | 7.88812e6i | −0.288000 | + | 0.498830i | −0.973332 | − | 0.229400i | \(-0.926323\pi\) |
0.685333 | + | 0.728230i | \(0.259657\pi\) | |||||||
\(252\) | −879036. | + | 507511.i | −0.0549294 | + | 0.0317135i | ||||
\(253\) | 3.38482e7 | − | 1.04408e7i | 2.09013 | − | 0.644720i | ||||
\(254\) | −8.68360e6 | − | 6.92494e6i | −0.529906 | − | 0.422586i | ||||
\(255\) | −762688. | − | 1.01774e7i | −0.0459967 | − | 0.613783i | ||||
\(256\) | −1.17068e7 | + | 5.63768e6i | −0.697777 | + | 0.336032i | ||||
\(257\) | − | 2.32351e7i | − | 1.36882i | −0.729098 | − | 0.684409i | \(-0.760060\pi\) | ||
0.729098 | − | 0.684409i | \(-0.239940\pi\) | |||||||
\(258\) | −3.90302e6 | − | 3.31123e6i | −0.227270 | − | 0.192810i | ||||
\(259\) | −8.21956e6 | −0.473096 | ||||||||
\(260\) | −1.25111e6 | − | 2.59795e6i | −0.0711827 | − | 0.147812i | ||||
\(261\) | −1.17956e7 | + | 883962.i | −0.663438 | + | 0.0497178i | ||||
\(262\) | 6.60251e6 | − | 8.27928e6i | 0.367118 | − | 0.460351i | ||||
\(263\) | −8.93210e6 | − | 2.89572e7i | −0.491005 | − | 1.59180i | −0.774334 | − | 0.632778i | \(-0.781915\pi\) |
0.283328 | − | 0.959023i | \(-0.408561\pi\) | |||||||
\(264\) | 2.72182e6 | + | 4.71433e6i | 0.147927 | + | 0.256217i | ||||
\(265\) | 2.20950e7 | + | 1.27565e7i | 1.18729 | + | 0.685480i | ||||
\(266\) | 2.11217e6 | + | 482089.i | 0.112224 | + | 0.0256143i | ||||
\(267\) | −1.80825e6 | + | 272550.i | −0.0950004 | + | 0.0143190i | ||||
\(268\) | −1.57652e6 | + | 1.46280e6i | −0.0819022 | + | 0.0759941i | ||||
\(269\) | −803055. | − | 1.00700e6i | −0.0412561 | − | 0.0517336i | 0.760775 | − | 0.649015i | \(-0.224819\pi\) |
−0.802032 | + | 0.597282i | \(0.796247\pi\) | |||||||
\(270\) | 7.60529e6 | − | 1.11549e7i | 0.386389 | − | 0.566728i | ||||
\(271\) | −1.26281e7 | − | 1.17172e7i | −0.634498 | − | 0.588728i | 0.295927 | − | 0.955211i | \(-0.404372\pi\) |
−0.930425 | + | 0.366482i | \(0.880562\pi\) | |||||||
\(272\) | 3.53499e6 | − | 4.71712e7i | 0.175664 | − | 2.34407i | ||||
\(273\) | −238662. | − | 608101.i | −0.0117299 | − | 0.0298874i | ||||
\(274\) | 3.24898e6 | + | 1.42347e7i | 0.157941 | + | 0.691985i | ||||
\(275\) | −1.15024e7 | − | 3.54801e6i | −0.553082 | − | 0.170603i | ||||
\(276\) | 1.37985e6 | + | 2.02387e6i | 0.0656303 | + | 0.0962620i | ||||
\(277\) | 209957. | − | 1.39298e6i | 0.00987852 | − | 0.0655397i | −0.983348 | − | 0.181730i | \(-0.941830\pi\) |
0.993227 | + | 0.116191i | \(0.0370683\pi\) | |||||||
\(278\) | 1.11933e7 | + | 4.39304e6i | 0.520983 | + | 0.204471i | ||||
\(279\) | −3.32798e7 | − | 1.60267e7i | −1.53239 | − | 0.737959i | ||||
\(280\) | 2.27709e6 | − | 4.72842e6i | 0.103730 | − | 0.215398i | ||||
\(281\) | −331813. | + | 845446.i | −0.0149546 | + | 0.0381037i | −0.938156 | − | 0.346213i | \(-0.887468\pi\) |
0.923201 | + | 0.384316i | \(0.125563\pi\) | |||||||
\(282\) | 5.47549e6 | + | 825298.i | 0.244161 | + | 0.0368013i | ||||
\(283\) | −6.17232e6 | + | 4.20821e6i | −0.272326 | + | 0.185669i | −0.691781 | − | 0.722108i | \(-0.743174\pi\) |
0.419455 | + | 0.907776i | \(0.362221\pi\) | |||||||
\(284\) | 2.79076e6 | − | 9.04744e6i | 0.121834 | − | 0.394976i | ||||
\(285\) | −2.94194e6 | + | 671478.i | −0.127086 | + | 0.0290066i | ||||
\(286\) | −1.67684e7 | + | 6.58110e6i | −0.716792 | + | 0.281320i | ||||
\(287\) | −246992. | − | 18509.5i | −0.0104481 | − | 0.000782977i | ||||
\(288\) | 8.16952e6 | − | 8.80465e6i | 0.341994 | − | 0.368582i | ||||
\(289\) | 5.65162e7 | + | 3.85321e7i | 2.34142 | + | 1.59635i | ||||
\(290\) | −1.83715e7 | + | 1.46508e7i | −0.753269 | + | 0.600712i | ||||
\(291\) | −1.06987e6 | − | 1.15304e6i | −0.0434161 | − | 0.0467914i | ||||
\(292\) | −1.44285e6 | − | 9.57266e6i | −0.0579524 | − | 0.384489i | ||||
\(293\) | 1.19190e6 | − | 5.22204e6i | 0.0473844 | − | 0.207605i | −0.945694 | − | 0.325058i | \(-0.894616\pi\) |
0.993078 | + | 0.117454i | \(0.0374732\pi\) | |||||||
\(294\) | 3.55851e6 | − | 6.16352e6i | 0.140032 | − | 0.242542i | ||||
\(295\) | 2.66074e7 | − | 1.53618e7i | 1.03642 | − | 0.598379i | ||||
\(296\) | 3.89826e7 | − | 1.20245e7i | 1.50313 | − | 0.463653i | ||||
\(297\) | −1.43263e7 | − | 1.14248e7i | −0.546844 | − | 0.436093i | ||||
\(298\) | 513398. | + | 6.85082e6i | 0.0194002 | + | 0.258877i | ||||
\(299\) | 1.90079e7 | − | 9.15373e6i | 0.711084 | − | 0.342440i | ||||
\(300\) | − | 832394.i | − | 0.0308294i | ||||||
\(301\) | 6.58928e6 | + | 1.19872e6i | 0.241623 | + | 0.0439559i | ||||
\(302\) | 8.30001e6 | 0.301341 | ||||||||
\(303\) | 1.00458e6 | + | 2.08604e6i | 0.0361125 | + | 0.0749884i | ||||
\(304\) | −1.39472e7 | + | 1.04520e6i | −0.496439 | + | 0.0372029i | ||||
\(305\) | −3.98242e6 | + | 4.99380e6i | −0.140361 | + | 0.176008i | ||||
\(306\) | 1.73915e7 | + | 5.63818e7i | 0.606977 | + | 1.96777i | ||||
\(307\) | −7.46659e6 | − | 1.29325e7i | −0.258052 | − | 0.446959i | 0.707668 | − | 0.706545i | \(-0.249747\pi\) |
−0.965720 | + | 0.259586i | \(0.916414\pi\) | |||||||
\(308\) | 2.37006e6 | + | 1.36835e6i | 0.0811160 | + | 0.0468323i | ||||
\(309\) | 956031. | + | 218208.i | 0.0324038 | + | 0.00739597i | ||||
\(310\) | −7.25582e7 | + | 1.09364e7i | −2.43558 | + | 0.367104i | ||||
\(311\) | 1.15441e7 | − | 1.07114e7i | 0.383777 | − | 0.356093i | −0.464567 | − | 0.885538i | \(-0.653790\pi\) |
0.848345 | + | 0.529445i | \(0.177600\pi\) | |||||||
\(312\) | 2.02149e6 | + | 2.53487e6i | 0.0665592 | + | 0.0834627i | ||||
\(313\) | −2.18343e7 | + | 3.20251e7i | −0.712044 | + | 1.04438i | 0.284283 | + | 0.958740i | \(0.408245\pi\) |
−0.996327 | + | 0.0856358i | \(0.972708\pi\) | |||||||
\(314\) | 1.38719e7 | + | 1.28713e7i | 0.448073 | + | 0.415751i | ||||
\(315\) | −636314. | + | 8.49102e6i | −0.0203582 | + | 0.271662i | ||||
\(316\) | 323509. | + | 824288.i | 0.0102524 | + | 0.0261227i | ||||
\(317\) | −1.07806e7 | − | 4.72331e7i | −0.338429 | − | 1.48275i | −0.802338 | − | 0.596870i | \(-0.796411\pi\) |
0.463909 | − | 0.885883i | \(-0.346446\pi\) | |||||||
\(318\) | 1.05320e7 | + | 3.24869e6i | 0.327514 | + | 0.101025i | ||||
\(319\) | 1.79657e7 | + | 2.63509e7i | 0.553443 | + | 0.811752i | ||||
\(320\) | −3.43361e6 | + | 2.27805e7i | −0.104785 | + | 0.695205i | ||||
\(321\) | 7.98684e6 | + | 3.13461e6i | 0.241468 | + | 0.0947693i | ||||
\(322\) | −1.32918e7 | − | 6.40097e6i | −0.398121 | − | 0.191725i | ||||
\(323\) | 1.18716e7 | − | 2.46516e7i | 0.352291 | − | 0.731539i | ||||
\(324\) | −2.74628e6 | + | 6.99740e6i | −0.0807438 | + | 0.205732i | ||||
\(325\) | −7.08923e6 | − | 1.06853e6i | −0.206514 | − | 0.0311269i | ||||
\(326\) | −1.45658e7 | + | 9.93080e6i | −0.420418 | + | 0.286636i | ||||
\(327\) | −1.96599e6 | + | 6.37359e6i | −0.0562262 | + | 0.182281i | ||||
\(328\) | 1.19848e6 | − | 273545.i | 0.0339632 | − | 0.00775187i | ||||
\(329\) | −6.74478e6 | + | 2.64713e6i | −0.189400 | + | 0.0743341i | ||||
\(330\) | −1.74959e7 | − | 1.31114e6i | −0.486849 | − | 0.0364843i | ||||
\(331\) | −1.03042e6 | + | 1.11053e6i | −0.0284140 | + | 0.0306230i | −0.747099 | − | 0.664713i | \(-0.768554\pi\) |
0.718685 | + | 0.695336i | \(0.244744\pi\) | |||||||
\(332\) | 1.19058e7 | + | 8.11726e6i | 0.325346 | + | 0.221817i | ||||
\(333\) | −5.17475e7 | + | 4.12673e7i | −1.40138 | + | 1.11757i | ||||
\(334\) | −3.15142e7 | − | 3.39643e7i | −0.845800 | − | 0.911555i | ||||
\(335\) | 2.68890e6 | + | 1.78397e7i | 0.0715221 | + | 0.474518i | ||||
\(336\) | 656220. | − | 2.87509e6i | 0.0172994 | − | 0.0757938i | ||||
\(337\) | 2.58020e7 | − | 4.46904e7i | 0.674161 | − | 1.16768i | −0.302553 | − | 0.953133i | \(-0.597839\pi\) |
0.976713 | − | 0.214548i | \(-0.0688279\pi\) | |||||||
\(338\) | 2.85068e7 | − | 1.64584e7i | 0.738242 | − | 0.426224i | ||||
\(339\) | −1.27037e7 | + | 3.91856e6i | −0.326084 | + | 0.100584i | ||||
\(340\) | 1.99095e7 | + | 1.58773e7i | 0.506552 | + | 0.403962i | ||||
\(341\) | 7.44251e6 | + | 9.93134e7i | 0.187696 | + | 2.50464i | ||||
\(342\) | 1.57179e7 | − | 7.56933e6i | 0.392930 | − | 0.189225i | ||||
\(343\) | 1.92231e7i | 0.476365i | ||||||||
\(344\) | −3.30043e7 | + | 3.95446e6i | −0.810766 | + | 0.0971432i | ||||
\(345\) | 2.05483e7 | 0.500402 | ||||||||
\(346\) | 2.24025e7 | + | 4.65193e7i | 0.540840 | + | 1.12307i | ||||
\(347\) | −1.07709e7 | + | 807168.i | −0.257789 | + | 0.0193186i | −0.202997 | − | 0.979179i | \(-0.565068\pi\) |
−0.0547911 | + | 0.998498i | \(0.517449\pi\) | |||||||
\(348\) | −1.37507e6 | + | 1.72428e6i | −0.0326277 | + | 0.0409139i | ||||
\(349\) | 4.80854e6 | + | 1.55889e7i | 0.113119 | + | 0.366724i | 0.994375 | − | 0.105916i | \(-0.0337774\pi\) |
−0.881256 | + | 0.472640i | \(0.843301\pi\) | |||||||
\(350\) | 2.50666e6 | + | 4.34166e6i | 0.0584643 | + | 0.101263i | ||||
\(351\) | −9.45156e6 | − | 5.45686e6i | −0.218566 | − | 0.126189i | ||||
\(352\) | −3.15720e7 | − | 7.20610e6i | −0.723893 | − | 0.165224i | ||||
\(353\) | −3.76949e7 | + | 5.68160e6i | −0.856957 | + | 0.129165i | −0.562801 | − | 0.826592i | \(-0.690276\pi\) |
−0.294155 | + | 0.955758i | \(0.595038\pi\) | |||||||
\(354\) | 9.72952e6 | − | 9.02767e6i | 0.219322 | − | 0.203501i | ||||
\(355\) | −4.95212e7 | − | 6.20976e7i | −1.10689 | − | 1.38800i | ||||
\(356\) | 2.57033e6 | − | 3.76998e6i | 0.0569691 | − | 0.0835583i | ||||
\(357\) | 4.22909e6 | + | 3.92402e6i | 0.0929484 | + | 0.0862435i | ||||
\(358\) | 5.23111e6 | − | 6.98043e7i | 0.114010 | − | 1.52136i | ||||
\(359\) | −2.21882e7 | − | 5.65346e7i | −0.479555 | − | 1.22189i | −0.942112 | − | 0.335297i | \(-0.891163\pi\) |
0.462557 | − | 0.886590i | \(-0.346932\pi\) | |||||||
\(360\) | −9.40383e6 | − | 4.12009e7i | −0.201557 | − | 0.883077i | ||||
\(361\) | 3.72252e7 | + | 1.14825e7i | 0.791254 | + | 0.244070i | ||||
\(362\) | −3.85870e7 | − | 5.65967e7i | −0.813421 | − | 1.19307i | ||||
\(363\) | −1.66932e6 | + | 1.10752e7i | −0.0348996 | + | 0.231544i | ||||
\(364\) | 1.51730e6 | + | 595497.i | 0.0314607 | + | 0.0123474i | ||||
\(365\) | −7.31679e7 | − | 3.52358e7i | −1.50467 | − | 0.724612i | ||||
\(366\) | −1.19723e6 | + | 2.48607e6i | −0.0244193 | + | 0.0507072i | ||||
\(367\) | −2.32522e7 | + | 5.92455e7i | −0.470398 | + | 1.19855i | 0.477117 | + | 0.878840i | \(0.341682\pi\) |
−0.947514 | + | 0.319714i | \(0.896413\pi\) | |||||||
\(368\) | 9.41761e7 | + | 1.41948e7i | 1.88972 | + | 0.284829i | ||||
\(369\) | −1.64791e6 | + | 1.12352e6i | −0.0327984 | + | 0.0223616i | ||||
\(370\) | −3.87553e7 | + | 1.25642e8i | −0.765113 | + | 2.48044i | ||||
\(371\) | −1.40603e7 | + | 3.20918e6i | −0.275343 | + | 0.0628452i | ||||
\(372\) | −6.41091e6 | + | 2.51610e6i | −0.124535 | + | 0.0488763i | ||||
\(373\) | 6.65815e7 | + | 4.98959e6i | 1.28300 | + | 0.0961476i | 0.698715 | − | 0.715400i | \(-0.253756\pi\) |
0.584286 | + | 0.811548i | \(0.301375\pi\) | |||||||
\(374\) | 1.08205e8 | − | 1.16617e8i | 2.06839 | − | 2.22919i | ||||
\(375\) | 7.92718e6 | + | 5.40466e6i | 0.150323 | + | 0.102488i | ||||
\(376\) | 2.81157e7 | − | 2.24215e7i | 0.528914 | − | 0.421794i | ||||
\(377\) | 1.29200e7 | + | 1.39245e7i | 0.241123 | + | 0.259869i | ||||
\(378\) | 1.13744e6 | + | 7.54645e6i | 0.0210598 | + | 0.139723i | ||||
\(379\) | 4.77568e6 | − | 2.09236e7i | 0.0877238 | − | 0.384343i | −0.911939 | − | 0.410327i | \(-0.865415\pi\) |
0.999662 | + | 0.0259836i | \(0.00827177\pi\) | |||||||
\(380\) | 3.76467e6 | − | 6.52060e6i | 0.0686083 | − | 0.118833i | ||||
\(381\) | −7.57324e6 | + | 4.37241e6i | −0.136933 | + | 0.0790581i | ||||
\(382\) | −7.50769e6 | + | 2.31581e6i | −0.134684 | + | 0.0415445i | ||||
\(383\) | −6.52971e7 | − | 5.20727e7i | −1.16225 | − | 0.926859i | −0.164022 | − | 0.986457i | \(-0.552447\pi\) |
−0.998223 | + | 0.0595971i | \(0.981018\pi\) | |||||||
\(384\) | 1.34667e6 | + | 1.79701e7i | 0.0237831 | + | 0.317363i | ||||
\(385\) | 2.06842e7 | − | 9.96097e6i | 0.362456 | − | 0.174550i | ||||
\(386\) | − | 2.33790e7i | − | 0.406503i | ||||||
\(387\) | 4.75021e7 | − | 2.55356e7i | 0.819559 | − | 0.440567i | ||||
\(388\) | 3.92471e6 | 0.0671911 | ||||||||
\(389\) | 1.15966e7 | + | 2.40806e7i | 0.197007 | + | 0.409089i | 0.975947 | − | 0.218010i | \(-0.0699565\pi\) |
−0.778940 | + | 0.627099i | \(0.784242\pi\) | |||||||
\(390\) | −1.04205e7 | + | 780910.i | −0.175669 | + | 0.0131646i | ||||
\(391\) | −1.16167e8 | + | 1.45668e8i | −1.94335 | + | 2.43688i | ||||
\(392\) | −1.36236e7 | − | 4.41668e7i | −0.226170 | − | 0.733225i | ||||
\(393\) | −4.16883e6 | − | 7.22063e6i | −0.0686810 | − | 0.118959i | ||||
\(394\) | 4.43432e7 | + | 2.56016e7i | 0.725000 | + | 0.418579i | ||||
\(395\) | 7.24203e6 | + | 1.65295e6i | 0.117509 | + | 0.0268205i | ||||
\(396\) | 2.17910e7 | − | 3.28447e6i | 0.350907 | − | 0.0528907i | ||||
\(397\) | 4.03695e7 | − | 3.74574e7i | 0.645181 | − | 0.598641i | −0.288181 | − | 0.957576i | \(-0.593051\pi\) |
0.933363 | + | 0.358935i | \(0.116860\pi\) | |||||||
\(398\) | 7.69772e6 | + | 9.65263e6i | 0.122099 | + | 0.153108i | ||||
\(399\) | 960896. | − | 1.40938e6i | 0.0151272 | − | 0.0221875i | ||||
\(400\) | −2.37250e7 | − | 2.20136e7i | −0.370703 | − | 0.343962i | ||||
\(401\) | 3.61804e6 | − | 4.82793e7i | 0.0561099 | − | 0.748735i | −0.896209 | − | 0.443632i | \(-0.853690\pi\) |
0.952319 | − | 0.305104i | \(-0.0986911\pi\) | |||||||
\(402\) | 2.84740e6 | + | 7.25505e6i | 0.0438298 | + | 0.111677i | ||||
\(403\) | 1.31992e7 | + | 5.78295e7i | 0.201666 | + | 0.883557i | ||||
\(404\) | −5.52043e6 | − | 1.70283e6i | −0.0837199 | − | 0.0258242i | ||||
\(405\) | 3.55223e7 | + | 5.21017e7i | 0.534732 | + | 0.784308i | ||||
\(406\) | 1.97971e6 | − | 1.31345e7i | 0.0295817 | − | 0.196262i | ||||
\(407\) | 1.66119e8 | + | 6.51969e7i | 2.46397 | + | 0.967039i | ||||
\(408\) | −2.57976e7 | − | 1.24235e7i | −0.379839 | − | 0.182921i | ||||
\(409\) | 1.84984e7 | − | 3.84124e7i | 0.270374 | − | 0.561437i | −0.720933 | − | 0.693004i | \(-0.756287\pi\) |
0.991307 | + | 0.131567i | \(0.0420009\pi\) | |||||||
\(410\) | −1.44750e6 | + | 3.68817e6i | −0.0210023 | + | 0.0535130i | ||||
\(411\) | 1.13674e7 | + | 1.71336e6i | 0.163733 | + | 0.0246788i | ||||
\(412\) | −2.02163e6 | + | 1.37832e6i | −0.0289075 | + | 0.0197088i | ||||
\(413\) | −5.11910e6 | + | 1.65957e7i | −0.0726681 | + | 0.235584i | ||||
\(414\) | −1.15817e8 | + | 2.64345e7i | −1.63219 | + | 0.372538i | ||||
\(415\) | 1.12524e8 | − | 4.41624e7i | 1.57435 | − | 0.617886i | ||||
\(416\) | −1.92339e7 | − | 1.44138e6i | −0.267170 | − | 0.0200216i | ||||
\(417\) | 6.43948e6 | − | 6.94011e6i | 0.0888061 | − | 0.0957102i | ||||
\(418\) | −3.88635e7 | − | 2.64967e7i | −0.532124 | − | 0.362796i | ||||
\(419\) | 2.63279e7 | − | 2.09958e7i | 0.357910 | − | 0.285424i | −0.427982 | − | 0.903787i | \(-0.640775\pi\) |
0.785892 | + | 0.618364i | \(0.212204\pi\) | |||||||
\(420\) | 1.07982e6 | + | 1.16377e6i | 0.0145749 | + | 0.0157080i | ||||
\(421\) | −7.62333e6 | − | 5.05775e7i | −0.102164 | − | 0.677815i | −0.980021 | − | 0.198892i | \(-0.936266\pi\) |
0.877857 | − | 0.478923i | \(-0.158973\pi\) | |||||||
\(422\) | −4.78749e6 | + | 2.09754e7i | −0.0637046 | + | 0.279108i | ||||
\(423\) | −2.91726e7 | + | 5.05284e7i | −0.385437 | + | 0.667597i | ||||
\(424\) | 6.19886e7 | − | 3.57891e7i | 0.813231 | − | 0.469519i | ||||
\(425\) | 6.05017e7 | − | 1.86623e7i | 0.788136 | − | 0.243108i | ||||
\(426\) | −2.68262e7 | − | 2.13932e7i | −0.347001 | − | 0.276724i | ||||
\(427\) | −269820. | − | 3.60050e6i | −0.00346570 | − | 0.0462465i | ||||
\(428\) | −1.92882e7 | + | 9.28869e6i | −0.246014 | + | 0.118474i | ||||
\(429\) | 1.41829e7i | 0.179636i | ||||||||
\(430\) | 4.93917e7 | − | 9.50697e7i | 0.621225 | − | 1.19574i | ||||
\(431\) | −5.78602e7 | −0.722683 | −0.361342 | − | 0.932433i | \(-0.617681\pi\) | ||||
−0.361342 | + | 0.932433i | \(0.617681\pi\) | |||||||
\(432\) | −2.13767e7 | − | 4.43891e7i | −0.265148 | − | 0.550586i | ||||
\(433\) | −1.35101e8 | + | 1.01244e7i | −1.66416 | + | 0.124711i | −0.873265 | − | 0.487246i | \(-0.838002\pi\) |
−0.790891 | + | 0.611957i | \(0.790382\pi\) | |||||||
\(434\) | 2.58615e7 | − | 3.24293e7i | 0.316363 | − | 0.396706i | ||||
\(435\) | 5.45327e6 | + | 1.76791e7i | 0.0662505 | + | 0.214779i | ||||
\(436\) | −8.32122e6 | − | 1.44128e7i | −0.100399 | − | 0.173896i | ||||
\(437\) | 4.77080e7 | + | 2.75443e7i | 0.571672 | + | 0.330055i | ||||
\(438\) | −3.42033e7 | − | 7.80668e6i | −0.407048 | − | 0.0929060i | ||||
\(439\) | −1.27046e8 | + | 1.91491e7i | −1.50165 | + | 0.226337i | −0.847810 | − | 0.530300i | \(-0.822079\pi\) |
−0.653836 | + | 0.756637i | \(0.726841\pi\) | |||||||
\(440\) | −8.35258e7 | + | 7.75006e7i | −0.980534 | + | 0.909803i | ||||
\(441\) | 4.67553e7 | + | 5.86293e7i | 0.545149 | + | 0.683595i | ||||
\(442\) | 5.33747e7 | − | 7.82864e7i | 0.618115 | − | 0.906608i | ||||
\(443\) | −3.73060e7 | − | 3.46149e7i | −0.429109 | − | 0.398155i | 0.435832 | − | 0.900028i | \(-0.356454\pi\) |
−0.864941 | + | 0.501873i | \(0.832644\pi\) | |||||||
\(444\) | −922209. | + | 1.23060e7i | −0.0105361 | + | 0.140595i | ||||
\(445\) | −1.39840e7 | − | 3.56307e7i | −0.158691 | − | 0.404338i | ||||
\(446\) | 1.63090e7 | + | 7.14546e7i | 0.183833 | + | 0.805426i | ||||
\(447\) | 5.16877e6 | + | 1.59435e6i | 0.0578714 | + | 0.0178510i | ||||
\(448\) | −7.33596e6 | − | 1.07599e7i | −0.0815873 | − | 0.119667i | ||||
\(449\) | 2.21685e7 | − | 1.47078e8i | 0.244904 | − | 1.62483i | −0.441254 | − | 0.897382i | \(-0.645466\pi\) |
0.686159 | − | 0.727452i | \(-0.259296\pi\) | |||||||
\(450\) | 3.75788e7 | + | 1.47486e7i | 0.412388 | + | 0.161850i | ||||
\(451\) | 4.84494e6 | + | 2.33320e6i | 0.0528152 | + | 0.0254345i | ||||
\(452\) | 1.43925e7 | − | 2.98862e7i | 0.155855 | − | 0.323635i | ||||
\(453\) | 2.38749e6 | − | 6.08323e6i | 0.0256831 | − | 0.0654394i | ||||
\(454\) | −1.40233e8 | − | 2.11368e7i | −1.49859 | − | 0.225876i | ||||
\(455\) | 1.12976e7 | − | 7.70259e6i | 0.119937 | − | 0.0817716i | ||||
\(456\) | −2.49540e6 | + | 8.08989e6i | −0.0263176 | + | 0.0853195i | ||||
\(457\) | 3.42872e7 | − | 7.82584e6i | 0.359239 | − | 0.0819940i | −0.0390921 | − | 0.999236i | \(-0.512447\pi\) |
0.398331 | + | 0.917242i | \(0.369589\pi\) | |||||||
\(458\) | 1.10214e7 | − | 4.32557e6i | 0.114720 | − | 0.0450243i | ||||
\(459\) | 9.61133e7 | + | 7.20270e6i | 0.993907 | + | 0.0744830i | ||||
\(460\) | −3.48733e7 | + | 3.75844e7i | −0.358277 | + | 0.386131i | ||||
\(461\) | 1.06632e8 | + | 7.27002e7i | 1.08839 | + | 0.742049i | 0.968068 | − | 0.250686i | \(-0.0806562\pi\) |
0.120318 | + | 0.992735i | \(0.461609\pi\) | |||||||
\(462\) | 7.75400e6 | − | 6.18361e6i | 0.0786321 | − | 0.0627070i | ||||
\(463\) | 1.25394e7 | + | 1.35143e7i | 0.126338 | + | 0.136160i | 0.793053 | − | 0.609153i | \(-0.208490\pi\) |
−0.666714 | + | 0.745313i | \(0.732300\pi\) | |||||||
\(464\) | 1.27805e7 | + | 8.47929e7i | 0.127936 | + | 0.848800i | ||||
\(465\) | −1.28558e7 | + | 5.63251e7i | −0.127862 | + | 0.560200i | ||||
\(466\) | −9.46160e7 | + | 1.63880e8i | −0.934990 | + | 1.61945i | ||||
\(467\) | −1.07235e8 | + | 6.19124e7i | −1.05290 | + | 0.607892i | −0.923460 | − | 0.383695i | \(-0.874652\pi\) |
−0.129441 | + | 0.991587i | \(0.541318\pi\) | |||||||
\(468\) | 1.25422e7 | − | 3.86875e6i | 0.122359 | − | 0.0377427i | ||||
\(469\) | −7.97331e6 | − | 6.35850e6i | −0.0772894 | − | 0.0616363i | ||||
\(470\) | 8.66151e6 | + | 1.15580e8i | 0.0834257 | + | 1.11324i | ||||
\(471\) | 1.34238e7 | − | 6.46459e6i | 0.128474 | − | 0.0618697i | ||||
\(472\) | − | 8.61967e7i | − | 0.819718i | ||||||
\(473\) | −1.23663e8 | − | 7.64920e7i | −1.16857 | − | 0.722824i | ||||
\(474\) | 3.20902e6 | 0.0301327 | ||||||||
\(475\) | −8.12244e6 | − | 1.68664e7i | −0.0757889 | − | 0.157377i | ||||
\(476\) | −1.43546e7 | + | 1.07573e6i | −0.133098 | + | 0.00997431i | ||||
\(477\) | −7.24069e7 | + | 9.07954e7i | −0.667152 | + | 0.836583i | ||||
\(478\) | −4.72087e7 | − | 1.53047e8i | −0.432254 | − | 1.40133i | ||||
\(479\) | 4.01145e7 | + | 6.94804e7i | 0.365002 | + | 0.632202i | 0.988776 | − | 0.149402i | \(-0.0477349\pi\) |
−0.623774 | + | 0.781604i | \(0.714402\pi\) | |||||||
\(480\) | −1.62692e7 | − | 9.39301e6i | −0.147110 | − | 0.0849339i | ||||
\(481\) | 1.03623e8 | + | 2.36512e7i | 0.931149 | + | 0.212529i | ||||
\(482\) | −1.46458e8 | + | 2.20750e7i | −1.30789 | + | 0.197133i | ||||
\(483\) | −8.51475e6 | + | 7.90053e6i | −0.0755667 | + | 0.0701157i | ||||
\(484\) | −1.74244e7 | − | 2.18494e7i | −0.153681 | − | 0.192710i | ||||
\(485\) | 1.85465e7 | − | 2.72027e7i | 0.162569 | − | 0.238445i | ||||
\(486\) | 6.83844e7 | + | 6.34515e7i | 0.595729 | + | 0.552755i | ||||
\(487\) | −620935. | + | 8.28580e6i | −0.00537600 | + | 0.0717378i | −0.999246 | − | 0.0388129i | \(-0.987642\pi\) |
0.993870 | + | 0.110551i | \(0.0352614\pi\) | |||||||
\(488\) | 6.54689e6 | + | 1.66812e7i | 0.0563346 | + | 0.143538i | ||||
\(489\) | 3.08862e6 | + | 1.35321e7i | 0.0264142 | + | 0.115728i | ||||
\(490\) | 1.42350e8 | + | 4.39093e7i | 1.20996 | + | 0.373223i | ||||
\(491\) | 1.81838e6 | + | 2.66707e6i | 0.0153617 | + | 0.0225315i | 0.833843 | − | 0.552002i | \(-0.186136\pi\) |
−0.818481 | + | 0.574533i | \(0.805184\pi\) | |||||||
\(492\) | −55423.5 | + | 367711.i | −0.000465370 | + | 0.00308753i | ||||
\(493\) | −1.56157e8 | − | 6.12871e7i | −1.30323 | − | 0.511479i | ||||
\(494\) | −2.52406e7 | − | 1.21552e7i | −0.209372 | − | 0.100828i | ||||
\(495\) | 8.02101e7 | − | 1.66558e8i | 0.661323 | − | 1.37325i | ||||
\(496\) | −9.78294e7 | + | 2.49265e8i | −0.801723 | + | 2.04276i | ||||
\(497\) | 4.43960e7 | + | 6.69163e6i | 0.361639 | + | 0.0545083i | ||||
\(498\) | 4.31464e7 | − | 2.94167e7i | 0.349347 | − | 0.238180i | ||||
\(499\) | −2.14689e7 | + | 6.96006e7i | −0.172786 | + | 0.560159i | −0.999999 | − | 0.00173057i | \(-0.999449\pi\) |
0.827212 | + | 0.561889i | \(0.189925\pi\) | |||||||
\(500\) | −2.33390e7 | + | 5.32697e6i | −0.186712 | + | 0.0426158i | ||||
\(501\) | −3.39581e7 | + | 1.33276e7i | −0.270041 | + | 0.105983i | ||||
\(502\) | −8.21312e7 | − | 6.15488e6i | −0.649228 | − | 0.0486529i | ||||
\(503\) | 1.13711e8 | − | 1.22551e8i | 0.893505 | − | 0.962969i | −0.106002 | − | 0.994366i | \(-0.533805\pi\) |
0.999507 | + | 0.0313968i | \(0.00999555\pi\) | |||||||
\(504\) | 1.97379e7 | + | 1.34570e7i | 0.154173 | + | 0.105113i | ||||
\(505\) | −3.78898e7 | + | 3.02161e7i | −0.294204 | + | 0.234619i | ||||
\(506\) | 2.17857e8 | + | 2.34794e8i | 1.68159 | + | 1.81232i | ||||
\(507\) | −3.86271e6 | − | 2.56274e7i | −0.0296393 | − | 0.196644i | ||||
\(508\) | 4.85533e6 | − | 2.12726e7i | 0.0370363 | − | 0.162267i | ||||
\(509\) | −1.03112e8 | + | 1.78595e8i | −0.781908 | + | 1.35430i | 0.148920 | + | 0.988849i | \(0.452420\pi\) |
−0.930829 | + | 0.365456i | \(0.880913\pi\) | |||||||
\(510\) | 7.99214e7 | − | 4.61427e7i | 0.602494 | − | 0.347850i | ||||
\(511\) | 4.38667e7 | − | 1.35311e7i | 0.328755 | − | 0.101407i | ||||
\(512\) | 3.47935e7 | + | 2.77469e7i | 0.259232 | + | 0.206731i | ||||
\(513\) | −2.12963e6 | − | 2.84180e7i | −0.0157744 | − | 0.210495i | ||||
\(514\) | 1.89294e8 | − | 9.11590e7i | 1.39395 | − | 0.671290i | ||||
\(515\) | 2.05256e7i | 0.150271i | ||||||||
\(516\) | 2.53397e6 | − | 9.73074e6i | 0.0184439 | − | 0.0708267i | ||||
\(517\) | 1.57310e8 | 1.13837 | ||||||||
\(518\) | −3.22480e7 | − | 6.69637e7i | −0.232014 | − | 0.481782i | ||||
\(519\) | 4.05389e7 | − | 3.03797e6i | 0.289981 | − | 0.0217311i | ||||
\(520\) | −4.23125e7 | + | 5.30582e7i | −0.300925 | + | 0.377348i | ||||
\(521\) | 2.96421e7 | + | 9.60974e7i | 0.209602 | + | 0.679514i | 0.997933 | + | 0.0642625i | \(0.0204695\pi\) |
−0.788331 | + | 0.615252i | \(0.789054\pi\) | |||||||
\(522\) | −5.34797e7 | − | 9.26296e7i | −0.375991 | − | 0.651236i | ||||
\(523\) | −7.83726e7 | − | 4.52484e7i | −0.547847 | − | 0.316299i | 0.200406 | − | 0.979713i | \(-0.435774\pi\) |
−0.748253 | + | 0.663413i | \(0.769107\pi\) | |||||||
\(524\) | 2.02821e7 | + | 4.62926e6i | 0.140968 | + | 0.0321749i | ||||
\(525\) | 3.90312e6 | − | 588300.i | 0.0269733 | − | 0.00406557i | ||||
\(526\) | 2.00867e8 | − | 1.86377e8i | 1.38023 | − | 1.28066i | ||||
\(527\) | −3.26613e8 | − | 4.09560e8i | −2.23152 | − | 2.79824i | ||||
\(528\) | −3.60673e7 | + | 5.29010e7i | −0.245026 | + | 0.359387i | ||||
\(529\) | −1.66469e8 | − | 1.54460e8i | −1.12452 | − | 1.04340i | ||||
\(530\) | −1.72401e7 | + | 2.30053e8i | −0.115801 | + | 1.54526i | ||||
\(531\) | 5.10927e7 | + | 1.30182e8i | 0.341252 | + | 0.869496i | ||||
\(532\) | 947084. | + | 4.14945e6i | 0.00629004 | + | 0.0275585i | ||||
\(533\) | 3.06053e6 | + | 944048.i | 0.0202122 | + | 0.00623465i | ||||
\(534\) | −9.31481e6 | − | 1.36623e7i | −0.0611716 | − | 0.0897223i | ||||
\(535\) | −2.67664e7 | + | 1.77584e8i | −0.174795 | + | 1.15969i | ||||
\(536\) | 4.71166e7 | + | 1.84919e7i | 0.305971 | + | 0.120085i | ||||
\(537\) | −4.96561e7 | − | 2.39131e7i | −0.320663 | − | 0.154423i | ||||
\(538\) | 5.05325e6 | − | 1.04932e7i | 0.0324507 | − | 0.0673845i | ||||
\(539\) | 7.38673e7 | − | 1.88211e8i | 0.471722 | − | 1.20193i | ||||
\(540\) | 2.62267e7 | + | 3.95304e6i | 0.166557 | + | 0.0251044i | ||||
\(541\) | 7.47152e7 | − | 5.09399e7i | 0.471864 | − | 0.321712i | −0.303934 | − | 0.952693i | \(-0.598300\pi\) |
0.775798 | + | 0.630982i | \(0.217348\pi\) | |||||||
\(542\) | 4.59141e7 | − | 1.48850e8i | 0.288369 | − | 0.934869i | ||||
\(543\) | −5.25803e7 | + | 1.20011e7i | −0.328415 | + | 0.0749586i | ||||
\(544\) | 1.58563e8 | − | 6.22312e7i | 0.984927 | − | 0.386555i | ||||
\(545\) | −1.39220e8 | − | 1.04331e7i | −0.860026 | − | 0.0644501i | ||||
\(546\) | 4.01777e6 | − | 4.33013e6i | 0.0246835 | − | 0.0266025i | ||||
\(547\) | 1.12017e8 | + | 7.63719e7i | 0.684419 | + | 0.466629i | 0.854941 | − | 0.518725i | \(-0.173593\pi\) |
−0.170522 | + | 0.985354i | \(0.554545\pi\) | |||||||
\(548\) | −2.24259e7 | + | 1.78841e7i | −0.136273 | + | 0.108674i | ||||
\(549\) | −1.97754e7 | − | 2.13128e7i | −0.119511 | − | 0.128802i | ||||
\(550\) | −1.62224e7 | − | 1.07628e8i | −0.0975049 | − | 0.646902i | ||||
\(551\) | −1.10370e7 | + | 4.83562e7i | −0.0659775 | + | 0.289066i | ||||
\(552\) | 2.88247e7 | − | 4.99259e7i | 0.171375 | − | 0.296831i | ||||
\(553\) | −3.63646e6 | + | 2.09951e6i | −0.0215032 | + | 0.0124149i | ||||
\(554\) | 1.21721e7 | − | 3.75461e6i | 0.0715875 | − | 0.0220818i | ||||
\(555\) | 8.09370e7 | + | 6.45451e7i | 0.473444 | + | 0.377559i | ||||
\(556\) | 1.76532e6 | + | 2.35566e7i | 0.0102707 | + | 0.137053i | ||||
\(557\) | 2.13886e8 | − | 1.03002e8i | 1.23770 | − | 0.596046i | 0.303515 | − | 0.952827i | \(-0.401840\pi\) |
0.934188 | + | 0.356781i | \(0.116126\pi\) | |||||||
\(558\) | − | 3.34005e8i | − | 1.92243i | ||||||
\(559\) | −7.96207e7 | − | 3.40722e7i | −0.455817 | − | 0.195058i | ||||
\(560\) | 6.17270e7 | 0.351489 | ||||||||
\(561\) | −5.43457e7 | − | 1.12850e8i | −0.307806 | − | 0.639165i | ||||
\(562\) | −8.18955e6 | + | 613722.i | −0.0461372 | + | 0.00345751i | ||||
\(563\) | 1.06960e8 | − | 1.34123e8i | 0.599371 | − | 0.751588i | −0.385909 | − | 0.922537i | \(-0.626112\pi\) |
0.985280 | + | 0.170949i | \(0.0546834\pi\) | |||||||
\(564\) | 3.20644e6 | + | 1.03950e7i | 0.0178725 | + | 0.0579414i | ||||
\(565\) | −1.39133e8 | − | 2.40986e8i | −0.771412 | − | 1.33612i | ||||
\(566\) | −5.84998e7 | − | 3.37749e7i | −0.322630 | − | 0.186271i | ||||
\(567\) | −3.47519e7 | − | 7.93190e6i | −0.190647 | − | 0.0435139i | ||||
\(568\) | −2.20345e8 | + | 3.32116e7i | −1.20242 | + | 0.181236i | ||||
\(569\) | −4.72830e7 | + | 4.38722e7i | −0.256666 | + | 0.238151i | −0.798002 | − | 0.602655i | \(-0.794109\pi\) |
0.541335 | + | 0.840807i | \(0.317919\pi\) | |||||||
\(570\) | −1.70126e7 | − | 2.13332e7i | −0.0918643 | − | 0.115194i | ||||
\(571\) | 1.96752e7 | − | 2.88582e7i | 0.105684 | − | 0.155011i | −0.769753 | − | 0.638341i | \(-0.779621\pi\) |
0.875438 | + | 0.483331i | \(0.160573\pi\) | |||||||
\(572\) | −2.59416e7 | − | 2.40702e7i | −0.138614 | − | 0.128615i | ||||
\(573\) | −462277. | + | 6.16866e6i | −0.00245719 | + | 0.0327889i | ||||
\(574\) | −818237. | − | 2.08483e6i | −0.00432656 | − | 0.0110239i | ||||
\(575\) | 2.83661e7 | + | 1.24280e8i | 0.149210 | + | 0.653730i | ||||
\(576\) | −1.00206e8 | − | 3.09094e7i | −0.524355 | − | 0.161742i | ||||
\(577\) | −6.97329e7 | − | 1.02279e8i | −0.363003 | − | 0.532428i | 0.600675 | − | 0.799493i | \(-0.294898\pi\) |
−0.963678 | + | 0.267065i | \(0.913946\pi\) | |||||||
\(578\) | −9.21845e7 | + | 6.11604e8i | −0.477391 | + | 3.16728i | ||||
\(579\) | −1.71349e7 | − | 6.72494e6i | −0.0882765 | − | 0.0346460i | ||||
\(580\) | −4.15912e7 | − | 2.00293e7i | −0.213166 | − | 0.102655i | ||||
\(581\) | −2.96475e7 | + | 6.15637e7i | −0.151168 | + | 0.313904i | ||||
\(582\) | 5.19625e6 | − | 1.32398e7i | 0.0263585 | − | 0.0671605i | ||||
\(583\) | 3.09617e8 | + | 4.66673e7i | 1.56250 | + | 0.235509i | ||||
\(584\) | −1.88250e8 | + | 1.28347e8i | −0.945140 | + | 0.644386i | ||||
\(585\) | 3.24542e7 | − | 1.05214e8i | 0.162107 | − | 0.525539i | ||||
\(586\) | 4.72195e7 | − | 1.07775e7i | 0.234654 | − | 0.0535583i | ||||
\(587\) | 3.62198e7 | − | 1.42152e7i | 0.179073 | − | 0.0702812i | −0.274110 | − | 0.961698i | \(-0.588383\pi\) |
0.453184 | + | 0.891417i | \(0.350288\pi\) | |||||||
\(588\) | 1.39426e7 | + | 1.04485e6i | 0.0685822 | + | 0.00513952i | ||||
\(589\) | −1.05350e8 | + | 1.13540e8i | −0.515569 | + | 0.555651i | ||||
\(590\) | 2.29540e8 | + | 1.56498e8i | 1.11764 | + | 0.761996i | ||||
\(591\) | 3.15191e7 | − | 2.51357e7i | 0.152690 | − | 0.121766i | ||||
\(592\) | 3.26359e8 | + | 3.51731e8i | 1.57300 | + | 1.69530i | ||||
\(593\) | −4.38438e7 | − | 2.90884e8i | −0.210254 | − | 1.39494i | −0.806069 | − | 0.591821i | \(-0.798409\pi\) |
0.595816 | − | 0.803121i | \(-0.296829\pi\) | |||||||
\(594\) | 3.68699e7 | − | 1.61537e8i | 0.175919 | − | 0.770751i | ||||
\(595\) | −6.03780e7 | + | 1.04578e8i | −0.286634 | + | 0.496464i | ||||
\(596\) | −1.16883e7 | + | 6.74823e6i | −0.0552092 | + | 0.0318750i | ||||
\(597\) | 9.28883e6 | − | 2.86522e6i | 0.0436554 | − | 0.0134659i | ||||
\(598\) | 1.49149e8 | + | 1.18942e8i | 0.697454 | + | 0.556201i | ||||
\(599\) | 3.87979e6 | + | 5.17723e7i | 0.0180521 | + | 0.240889i | 0.998929 | + | 0.0462614i | \(0.0147307\pi\) |
−0.980877 | + | 0.194627i | \(0.937650\pi\) | |||||||
\(600\) | −1.76505e7 | + | 8.50004e6i | −0.0817153 | + | 0.0393520i | ||||
\(601\) | 8.92168e7i | 0.410982i | 0.978659 | + | 0.205491i | \(0.0658792\pi\) | ||||
−0.978659 | + | 0.205491i | \(0.934121\pi\) | |||||||
\(602\) | 1.60861e7 | + | 5.83850e7i | 0.0737330 | + | 0.267616i | ||||
\(603\) | −8.21208e7 | −0.374543 | ||||||||
\(604\) | 7.07478e6 | + | 1.46909e7i | 0.0321072 | + | 0.0666713i | ||||
\(605\) | −2.33782e8 | + | 1.75195e7i | −1.05571 | + | 0.0791146i | ||||
\(606\) | −1.30534e7 | + | 1.63684e7i | −0.0586550 | + | 0.0735510i | ||||
\(607\) | 8.05160e6 | + | 2.61026e7i | 0.0360011 | + | 0.116713i | 0.971790 | − | 0.235849i | \(-0.0757870\pi\) |
−0.935789 | + | 0.352561i | \(0.885311\pi\) | |||||||
\(608\) | −2.51819e7 | − | 4.36164e7i | −0.112041 | − | 0.194061i | ||||
\(609\) | −9.05705e6 | − | 5.22909e6i | −0.0400991 | − | 0.0231512i | ||||
\(610\) | −5.63082e7 | − | 1.28520e7i | −0.248075 | − | 0.0566214i | ||||
\(611\) | 9.26472e7 | − | 1.39643e7i | 0.406171 | − | 0.0612204i | ||||
\(612\) | −8.49710e7 | + | 7.88416e7i | −0.370695 | + | 0.343954i | ||||
\(613\) | 2.14653e8 | + | 2.69166e8i | 0.931871 | + | 1.16853i | 0.985450 | + | 0.169966i | \(0.0543656\pi\) |
−0.0535791 | + | 0.998564i | \(0.517063\pi\) | |||||||
\(614\) | 7.60657e7 | − | 1.11568e8i | 0.328612 | − | 0.481986i | ||||
\(615\) | 2.28675e6 | + | 2.12180e6i | 0.00983091 | + | 0.00912175i | ||||
\(616\) | 4.81329e6 | − | 6.42289e7i | 0.0205921 | − | 0.274782i | ||||
\(617\) | −2.49606e7 | − | 6.35986e7i | −0.106267 | − | 0.270765i | 0.867843 | − | 0.496839i | \(-0.165506\pi\) |
−0.974110 | + | 0.226074i | \(0.927411\pi\) | |||||||
\(618\) | 1.97311e6 | + | 8.64477e6i | 0.00835961 | + | 0.0366259i | ||||
\(619\) | 3.14171e8 | + | 9.69089e7i | 1.32463 | + | 0.408594i | 0.874784 | − | 0.484513i | \(-0.161003\pi\) |
0.449845 | + | 0.893107i | \(0.351479\pi\) | |||||||
\(620\) | −8.12047e7 | − | 1.19105e8i | −0.340726 | − | 0.499754i | ||||
\(621\) | −2.89224e7 | + | 1.91888e8i | −0.120770 | + | 0.801258i | ||||
\(622\) | 1.32555e8 | + | 5.20242e7i | 0.550841 | + | 0.216189i | ||||
\(623\) | 1.94942e7 | + | 9.38789e6i | 0.0806195 | + | 0.0388243i | ||||
\(624\) | −1.65457e7 | + | 3.43575e7i | −0.0680976 | + | 0.141406i | ||||
\(625\) | −1.10940e8 | + | 2.82670e8i | −0.454410 | + | 1.15782i | ||||
\(626\) | −3.46567e8 | − | 5.22366e7i | −1.41275 | − | 0.212937i | ||||
\(627\) | −3.05990e7 | + | 2.08620e7i | −0.124138 | + | 0.0846357i | ||||
\(628\) | −1.09578e7 | + | 3.55245e7i | −0.0442432 | + | 0.143433i | ||||
\(629\) | −9.15127e8 | + | 2.08872e8i | −3.67730 | + | 0.839321i | ||||
\(630\) | −7.16717e7 | + | 2.81291e7i | −0.286633 | + | 0.112495i | ||||
\(631\) | 5.92671e7 | + | 4.44146e6i | 0.235899 | + | 0.0176782i | 0.192155 | − | 0.981365i | \(-0.438452\pi\) |
0.0437439 | + | 0.999043i | \(0.486071\pi\) | |||||||
\(632\) | 1.41751e7 | − | 1.52771e7i | 0.0561532 | − | 0.0605188i | ||||
\(633\) | 1.39961e7 | + | 9.54239e6i | 0.0551818 | + | 0.0376223i | ||||
\(634\) | 3.42506e8 | − | 2.73140e8i | 1.34400 | − | 1.07181i | ||||
\(635\) | −1.24499e8 | − | 1.34178e8i | −0.486235 | − | 0.524037i | ||||
\(636\) | 3.22714e6 | + | 2.14107e7i | 0.0125443 | + | 0.0832260i | ||||
\(637\) | 2.67965e7 | − | 1.17403e8i | 0.103672 | − | 0.454215i | ||||
\(638\) | −1.44192e8 | + | 2.49748e8i | −0.555238 | + | 0.961701i | ||||
\(639\) | 3.13098e8 | − | 1.80767e8i | 1.19999 | − | 0.692815i | ||||
\(640\) | −3.60435e8 | + | 1.11179e8i | −1.37495 | + | 0.424116i | ||||
\(641\) | 1.75095e8 | + | 1.39634e8i | 0.664813 | + | 0.530171i | 0.896737 | − | 0.442563i | \(-0.145931\pi\) |
−0.231924 | + | 0.972734i | \(0.574502\pi\) | |||||||
\(642\) | 5.79777e6 | + | 7.73659e7i | 0.0219107 | + | 0.292378i | ||||
\(643\) | −3.50100e8 | + | 1.68599e8i | −1.31692 | + | 0.634194i | −0.954608 | − | 0.297863i | \(-0.903726\pi\) |
−0.362310 | + | 0.932058i | \(0.618012\pi\) | |||||||
\(644\) | − | 2.89824e7i | − | 0.108512i | ||||||
\(645\) | −5.54708e7 | − | 6.35468e7i | −0.206721 | − | 0.236818i | ||||
\(646\) | 2.47410e8 | 0.917739 | ||||||||
\(647\) | 1.19547e8 | + | 2.48243e8i | 0.441395 | + | 0.916566i | 0.996405 | + | 0.0847219i | \(0.0270002\pi\) |
−0.555010 | + | 0.831844i | \(0.687286\pi\) | |||||||
\(648\) | 1.76420e8 | − | 1.32209e7i | 0.648371 | − | 0.0485887i | ||||
\(649\) | 2.35094e8 | − | 2.94799e8i | 0.860018 | − | 1.07843i | ||||
\(650\) | −1.91082e7 | − | 6.19473e7i | −0.0695792 | − | 0.225570i | ||||
\(651\) | −1.63290e7 | − | 2.82827e7i | −0.0591857 | − | 0.102513i | ||||
\(652\) | −2.99930e7 | − | 1.73165e7i | −0.108213 | − | 0.0624766i | ||||
\(653\) | −3.54817e8 | − | 8.09846e7i | −1.27428 | − | 0.290846i | −0.468712 | − | 0.883351i | \(-0.655282\pi\) |
−0.805567 | + | 0.592505i | \(0.798139\pi\) | |||||||
\(654\) | −5.96381e7 | + | 8.98900e6i | −0.213202 | + | 0.0321350i | ||||
\(655\) | 1.27931e8 | − | 1.18703e8i | 0.455252 | − | 0.422412i | ||||
\(656\) | 9.01479e6 | + | 1.13042e7i | 0.0319333 | + | 0.0400431i | ||||
\(657\) | 2.08235e8 | − | 3.05425e8i | 0.734274 | − | 1.07698i | ||||
\(658\) | −4.80278e7 | − | 4.45633e7i | −0.168584 | − | 0.156423i | ||||
\(659\) | −3.91427e7 | + | 5.22322e8i | −0.136771 | + | 1.82508i | 0.333714 | + | 0.942674i | \(0.391698\pi\) |
−0.470485 | + | 0.882408i | \(0.655921\pi\) | |||||||
\(660\) | −1.25925e7 | − | 3.20852e7i | −0.0438006 | − | 0.111602i | ||||
\(661\) | 2.01571e7 | + | 8.83140e7i | 0.0697949 | + | 0.305791i | 0.997762 | − | 0.0668717i | \(-0.0213018\pi\) |
−0.927967 | + | 0.372663i | \(0.878445\pi\) | |||||||
\(662\) | −1.30901e7 | − | 4.03775e6i | −0.0451199 | − | 0.0139176i | ||||
\(663\) | −4.20243e7 | − | 6.16383e7i | −0.144198 | − | 0.211500i | ||||
\(664\) | 5.05455e7 | − | 3.35347e8i | 0.172655 | − | 1.14549i | ||||
\(665\) | 3.32360e7 | + | 1.30442e7i | 0.113017 | + | 0.0443559i | ||||
\(666\) | −5.39222e8 | − | 2.59675e8i | −1.82534 | − | 0.879039i | ||||
\(667\) | 1.46544e8 | − | 3.04303e8i | 0.493846 | − | 1.02548i | ||||
\(668\) | 3.32543e7 | − | 8.47305e7i | 0.111562 | − | 0.284256i | ||||
\(669\) | 5.70616e7 | + | 8.60066e6i | 0.190575 | + | 0.0287245i | ||||
\(670\) | −1.34788e8 | + | 9.18970e7i | −0.448154 | + | 0.305546i | ||||
\(671\) | −2.31057e7 | + | 7.49070e7i | −0.0764808 | + | 0.247945i | ||||
\(672\) | 1.03530e7 | − | 2.36301e6i | 0.0341162 | − | 0.00778679i | ||||
\(673\) | 2.85489e8 | − | 1.12046e8i | 0.936579 | − | 0.367580i | 0.152544 | − | 0.988297i | \(-0.451253\pi\) |
0.784035 | + | 0.620717i | \(0.213158\pi\) | |||||||
\(674\) | 4.65316e8 | + | 3.48706e7i | 1.51974 | + | 0.113889i | ||||
\(675\) | 4.48535e7 | − | 4.83406e7i | 0.145843 | − | 0.157181i | ||||
\(676\) | 5.34299e7 | + | 3.64279e7i | 0.172960 | + | 0.117922i | ||||
\(677\) | −3.09461e7 | + | 2.46787e7i | −0.0997334 | + | 0.0795347i | −0.672087 | − | 0.740472i | \(-0.734602\pi\) |
0.572354 | + | 0.820007i | \(0.306030\pi\) | |||||||
\(678\) | −8.17646e7 | − | 8.81213e7i | −0.262347 | − | 0.282743i | ||||
\(679\) | 2.77381e6 | + | 1.84030e7i | 0.00886070 | + | 0.0587869i | ||||
\(680\) | 1.33364e8 | − | 5.84304e8i | 0.424141 | − | 1.85828i | ||||
\(681\) | −5.58295e7 | + | 9.66995e7i | −0.176776 | + | 0.306184i | ||||
\(682\) | −7.79894e8 | + | 4.50272e8i | −2.45857 | + | 1.41946i | ||||
\(683\) | 3.02932e8 | − | 9.34422e7i | 0.950787 | − | 0.293279i | 0.219703 | − | 0.975567i | \(-0.429491\pi\) |
0.731084 | + | 0.682288i | \(0.239015\pi\) | |||||||
\(684\) | 2.67953e7 | + | 2.13685e7i | 0.0837317 | + | 0.0667738i | ||||
\(685\) | 1.79818e7 | + | 2.39950e8i | 0.0559449 | + | 0.746533i | ||||
\(686\) | −1.56608e8 | + | 7.54184e7i | −0.485111 | + | 0.233617i | ||||
\(687\) | − | 9.32201e6i | − | 0.0287501i | ||||||
\(688\) | −2.10333e8 | − | 3.29563e8i | −0.645865 | − | 1.01198i | ||||
\(689\) | 1.86490e8 | 0.570163 | ||||||||
\(690\) | 8.06179e7 | + | 1.67405e8i | 0.245405 | + | 0.509590i | ||||
\(691\) | 1.02585e8 | − | 7.68767e6i | 0.310920 | − | 0.0233002i | 0.0816437 | − | 0.996662i | \(-0.473983\pi\) |
0.229277 | + | 0.973361i | \(0.426364\pi\) | |||||||
\(692\) | −6.32433e7 | + | 7.93046e7i | −0.190852 | + | 0.239320i | ||||
\(693\) | 3.08019e7 | + | 9.98573e7i | 0.0925503 | + | 0.300041i | ||||
\(694\) | −4.88337e7 | − | 8.45824e7i | −0.146097 | − | 0.253047i | ||||
\(695\) | 1.71616e8 | + | 9.90828e7i | 0.511216 | + | 0.295151i | ||||
\(696\) | 5.06042e7 | + | 1.15501e7i | 0.150092 | + | 0.0342576i | ||||
\(697\) | −2.79693e7 | + | 4.21569e6i | −0.0826006 | + | 0.0124500i | ||||
\(698\) | −1.08135e8 | + | 1.00335e8i | −0.317981 | + | 0.295043i | ||||
\(699\) | 9.28942e7 | + | 1.16486e8i | 0.271993 | + | 0.341068i | ||||
\(700\) | −5.54806e6 | + | 8.13751e6i | −0.0161751 | + | 0.0237245i | ||||
\(701\) | −2.72695e8 | − | 2.53024e8i | −0.791631 | − | 0.734526i | 0.176681 | − | 0.984268i | \(-0.443464\pi\) |
−0.968313 | + | 0.249742i | \(0.919654\pi\) | |||||||
\(702\) | 7.37479e6 | − | 9.84097e7i | 0.0213176 | − | 0.284464i | ||||
\(703\) | 1.01395e8 | + | 2.58350e8i | 0.291844 | + | 0.743606i | ||||
\(704\) | 6.29147e7 | + | 2.75647e8i | 0.180316 | + | 0.790016i | ||||
\(705\) | 8.72019e7 | + | 2.68982e7i | 0.248862 | + | 0.0767638i | ||||
\(706\) | −1.94177e8 | − | 2.84805e8i | −0.551802 | − | 0.809345i | ||||
\(707\) | 4.08299e6 | − | 2.70889e7i | 0.0115537 | − | 0.0766537i | ||||
\(708\) | 2.42722e7 | + | 9.52612e6i | 0.0683926 | + | 0.0268421i | ||||
\(709\) | −1.96091e8 | − | 9.44326e7i | −0.550199 | − | 0.264962i | 0.138064 | − | 0.990423i | \(-0.455912\pi\) |
−0.688263 | + | 0.725461i | \(0.741626\pi\) | |||||||
\(710\) | 3.11614e8 | − | 6.47072e8i | 0.870646 | − | 1.80791i | ||||
\(711\) | −1.23531e7 | + | 3.14751e7i | −0.0343689 | + | 0.0875706i | ||||
\(712\) | −1.06188e8 | − | 1.60052e7i | −0.294194 | − | 0.0443427i | ||||
\(713\) | 8.71435e8 | − | 5.94134e8i | 2.40418 | − | 1.63914i | ||||
\(714\) | −1.53764e7 | + | 4.98490e7i | −0.0422435 | + | 0.136950i | ||||
\(715\) | −2.89424e8 | + | 6.60590e7i | −0.791801 | + | 0.180723i | ||||
\(716\) | 1.28012e8 | − | 5.02409e7i | 0.348747 | − | 0.136873i | ||||
\(717\) | −1.25750e8 | − | 9.42369e6i | −0.341155 | − | 0.0255660i | ||||
\(718\) | 3.73529e8 | − | 4.02568e8i | 1.00914 | − | 1.08759i | ||||
\(719\) | −2.35905e8 | − | 1.60838e8i | −0.634675 | − | 0.432714i | 0.202777 | − | 0.979225i | \(-0.435003\pi\) |
−0.837452 | + | 0.546511i | \(0.815956\pi\) | |||||||
\(720\) | 3.88612e8 | − | 3.09908e8i | 1.04116 | − | 0.830300i | ||||
\(721\) | −7.89180e6 | − | 8.50533e6i | −0.0210557 | − | 0.0226927i | ||||
\(722\) | 5.25006e7 | + | 3.48319e8i | 0.139493 | + | 0.925477i | ||||
\(723\) | −2.59493e7 | + | 1.13692e8i | −0.0686612 | + | 0.300825i | ||||
\(724\) | 6.72848e7 | − | 1.16541e8i | 0.177297 | − | 0.307087i | ||||
\(725\) | −9.93983e7 | + | 5.73876e7i | −0.260834 | + | 0.150593i | ||||
\(726\) | −9.67778e7 | + | 2.98520e7i | −0.252910 | + | 0.0780124i | ||||
\(727\) | 4.52214e8 | + | 3.60629e8i | 1.17690 | + | 0.938549i | 0.998965 | − | 0.0454929i | \(-0.0144858\pi\) |
0.177938 | + | 0.984042i | \(0.443057\pi\) | |||||||
\(728\) | −2.86679e6 | − | 3.82546e7i | −0.00743021 | − | 0.0991493i | ||||
\(729\) | −2.11758e8 | + | 1.01977e8i | −0.546584 | + | 0.263221i | ||||
\(730\) | − | 7.34331e8i | − | 1.88766i | ||||||
\(731\) | 7.64081e8 | − | 3.39844e7i | 1.95608 | − | 0.0870016i | ||||
\(732\) | −5.42081e6 | −0.0138207 | ||||||||
\(733\) | 1.43149e8 | + | 2.97253e8i | 0.363478 | + | 0.754769i | 0.999862 | − | 0.0166030i | \(-0.00528516\pi\) |
−0.636385 | + | 0.771372i | \(0.719571\pi\) | |||||||
\(734\) | −5.73892e8 | + | 4.30072e7i | −1.45125 | + | 0.108756i | ||||
\(735\) | 7.31288e7 | − | 9.17006e7i | 0.184173 | − | 0.230946i | ||||
\(736\) | 1.01087e8 | + | 3.27717e8i | 0.253550 | + | 0.821988i | ||||
\(737\) | 1.10707e8 | + | 1.91750e8i | 0.276550 | + | 0.478998i | ||||
\(738\) | −1.56185e7 | − | 9.01733e6i | −0.0388570 | − | 0.0224341i | ||||
\(739\) | −4.88692e8 | − | 1.11541e8i | −1.21088 | − | 0.276376i | −0.431029 | − | 0.902338i | \(-0.641849\pi\) |
−0.779854 | + | 0.625962i | \(0.784707\pi\) | |||||||
\(740\) | −2.55419e8 | + | 3.84982e7i | −0.630315 | + | 0.0950047i | ||||
\(741\) | −1.61692e7 | + | 1.50028e7i | −0.0397406 | + | 0.0368739i | ||||
\(742\) | −8.13081e7 | − | 1.01957e8i | −0.199032 | − | 0.249578i | ||||
\(743\) | −2.84427e8 | + | 4.17178e8i | −0.693433 | + | 1.01708i | 0.304481 | + | 0.952518i | \(0.401517\pi\) |
−0.997914 | + | 0.0645605i | \(0.979435\pi\) | |||||||
\(744\) | 1.18818e8 | + | 1.10247e8i | 0.288512 | + | 0.267700i | ||||
\(745\) | −8.46087e6 | + | 1.12903e8i | −0.0204619 | + | 0.273045i | ||||
\(746\) | 2.20571e8 | + | 5.62007e8i | 0.531291 | + | 1.35371i | ||||
\(747\) | 1.22437e8 | + | 5.36432e8i | 0.293732 | + | 1.28692i | ||||
\(748\) | 2.98643e8 | + | 9.21191e7i | 0.713588 | + | 0.220113i | ||||
\(749\) | −5.71869e7 | − | 8.38778e7i | −0.136098 | − | 0.199619i | ||||
\(750\) | −1.29302e7 | + | 8.57860e7i | −0.0306493 | + | 0.203345i | ||||
\(751\) | −2.57284e8 | − | 1.00977e8i | −0.607426 | − | 0.238397i | 0.0416359 | − | 0.999133i | \(-0.486743\pi\) |
−0.649062 | + | 0.760736i | \(0.724838\pi\) | |||||||
\(752\) | 3.81078e8 | + | 1.83518e8i | 0.896108 | + | 0.431543i | ||||
\(753\) | −2.81360e7 | + | 5.84250e7i | −0.0658987 | + | 0.136840i | ||||
\(754\) | −6.27514e7 | + | 1.59888e8i | −0.146389 | + | 0.372994i | ||||
\(755\) | 1.35258e8 | + | 2.03868e7i | 0.314283 | + | 0.0473706i | ||||
\(756\) | −1.23876e7 | + | 8.44573e6i | −0.0286696 | + | 0.0195466i | ||||
\(757\) | 1.59852e8 | − | 5.18228e8i | 0.368494 | − | 1.19463i | −0.561631 | − | 0.827388i | \(-0.689826\pi\) |
0.930126 | − | 0.367242i | \(-0.119698\pi\) | |||||||
\(758\) | 1.89199e8 | − | 4.31834e7i | 0.434421 | − | 0.0991537i | ||||
\(759\) | 2.34751e8 | − | 9.21331e7i | 0.536887 | − | 0.210712i | ||||
\(760\) | −1.76709e8 | − | 1.32425e7i | −0.402549 | − | 0.0301669i | ||||
\(761\) | −5.16903e7 | + | 5.57089e7i | −0.117288 | + | 0.126407i | −0.788966 | − | 0.614436i | \(-0.789383\pi\) |
0.671678 | + | 0.740843i | \(0.265574\pi\) | |||||||
\(762\) | −6.53338e7 | − | 4.45439e7i | −0.147664 | − | 0.100675i | ||||
\(763\) | 6.17008e7 | − | 4.92048e7i | 0.138905 | − | 0.110773i | ||||
\(764\) | −1.04984e7 | − | 1.13146e7i | −0.0235420 | − | 0.0253722i | ||||
\(765\) | 1.44926e8 | + | 9.61519e8i | 0.323714 | + | 2.14770i | ||||
\(766\) | 1.68048e8 | − | 7.36266e8i | 0.373892 | − | 1.63813i | ||||
\(767\) | 1.12289e8 | − | 1.94490e8i | 0.248857 | − | 0.431033i | ||||
\(768\) | −8.01131e7 | + | 4.62533e7i | −0.176856 | + | 0.102108i | ||||
\(769\) | −6.49024e8 | + | 2.00197e8i | −1.42719 | + | 0.440230i | −0.909631 | − | 0.415418i | \(-0.863635\pi\) |
−0.517559 | + | 0.855648i | \(0.673159\pi\) | |||||||
\(770\) | 1.62301e8 | + | 1.29431e8i | 0.355509 | + | 0.283509i | ||||
\(771\) | −1.23619e7 | − | 1.64959e8i | −0.0269726 | − | 0.359925i | ||||
\(772\) | 4.13805e7 | − | 1.99278e7i | 0.0899382 | − | 0.0433120i | ||||
\(773\) | − | 1.97112e8i | − | 0.426750i | −0.976970 | − | 0.213375i | \(-0.931554\pi\) | ||
0.976970 | − | 0.213375i | \(-0.0684456\pi\) | |||||||
\(774\) | 3.94401e8 | + | 2.86810e8i | 0.850581 | + | 0.618544i | ||||
\(775\) | −3.58411e8 | −0.769975 | ||||||||
\(776\) | −4.00774e7 | − | 8.32215e7i | −0.0857657 | − | 0.178094i | ||||
\(777\) | −5.83550e7 | + | 4.37311e6i | −0.124399 | + | 0.00932238i | ||||
\(778\) | −1.50684e8 | + | 1.88952e8i | −0.319984 | + | 0.401248i | ||||
\(779\) | 2.46507e6 | + | 7.99158e6i | 0.00521456 | + | 0.0169052i | ||||
\(780\) | −1.02645e7 | − | 1.77786e7i | −0.0216298 | − | 0.0374640i | ||||
\(781\) | −8.44176e8 | − | 4.87385e8i | −1.77207 | − | 1.02310i | ||||
\(782\) | −1.64250e9 | − | 3.74890e8i | −3.43467 | − | 0.783941i | ||||
\(783\) | −1.72769e8 | + | 2.60407e7i | −0.359899 | + | 0.0542461i | ||||
\(784\) | 3.98507e8 | − | 3.69760e8i | 0.826966 | − | 0.767312i | ||||
\(785\) | 1.94443e8 | + | 2.43824e8i | 0.401961 | + | 0.504044i | ||||
\(786\) | 4.24698e7 | − | 6.22918e7i | 0.0874607 | − | 0.128281i | ||||
\(787\) | 7.95401e6 | + | 7.38024e6i | 0.0163178 | + | 0.0151407i | 0.688290 | − | 0.725436i | \(-0.258362\pi\) |
−0.671972 | + | 0.740577i | \(0.734552\pi\) | |||||||
\(788\) | −7.51715e6 | + | 1.00309e8i | −0.0153629 | + | 0.205004i | ||||
\(789\) | −7.88200e7 | − | 2.00830e8i | −0.160474 | − | 0.408882i | ||||
\(790\) | 1.49465e7 | + | 6.54850e7i | 0.0303151 | + | 0.132819i | ||||
\(791\) | 1.50309e8 | + | 4.63643e7i | 0.303708 | + | 0.0936815i | ||||
\(792\) | −2.92166e8 | − | 4.28529e8i | −0.588104 | − | 0.862590i | ||||
\(793\) | −6.95859e6 | + | 4.61672e7i | −0.0139541 | + | 0.0925794i | ||||
\(794\) | 4.63544e8 | + | 1.81928e8i | 0.926039 | + | 0.363443i | ||||
\(795\) | 1.63651e8 | + | 7.88101e7i | 0.325699 | + | 0.156849i | ||||
\(796\) | −1.05237e7 | + | 2.18526e7i | −0.0208655 | + | 0.0433276i | ||||
\(797\) | 1.72604e8 | − | 4.39789e8i | 0.340939 | − | 0.868699i | −0.652857 | − | 0.757481i | \(-0.726430\pi\) |
0.993796 | − | 0.111217i | \(-0.0354750\pi\) | |||||||
\(798\) | 1.52519e7 | + | 2.29886e6i | 0.0300134 | + | 0.00452380i | ||||
\(799\) | −6.83664e8 | + | 4.66114e8i | −1.34030 | + | 0.913802i | ||||
\(800\) | 3.43518e7 | − | 1.11366e8i | 0.0670933 | − | 0.217511i | ||||
\(801\) | 1.69861e8 | − | 3.87698e7i | 0.330520 | − | 0.0754389i | ||||
\(802\) | 4.07520e8 | − | 1.59940e8i | 0.789999 | − | 0.310052i | ||||
\(803\) | −9.93882e8 | − | 7.44812e7i | −1.91950 | − | 0.143847i | ||||
\(804\) | −1.04143e7 | + | 1.12239e7i | −0.0200383 | + | 0.0215962i | ||||
\(805\) | −2.00881e8 | − | 1.36959e8i | −0.385081 | − | 0.262544i | ||||
\(806\) | −4.19345e8 | + | 3.34417e8i | −0.800878 | + | 0.638679i | ||||
\(807\) | −6.23708e6 | − | 6.72197e6i | −0.0118675 | − | 0.0127902i | ||||
\(808\) | 2.02645e7 | + | 1.34446e8i | 0.0384152 | + | 0.254868i | ||||
\(809\) | 2.12030e8 | − | 9.28962e8i | 0.400452 | − | 1.75450i | −0.225121 | − | 0.974331i | \(-0.572278\pi\) |
0.625573 | − | 0.780165i | \(-0.284865\pi\) | |||||||
\(810\) | −2.85100e8 | + | 4.93808e8i | −0.536466 | + | 0.929186i | ||||
\(811\) | 2.51434e8 | − | 1.45165e8i | 0.471369 | − | 0.272145i | −0.245443 | − | 0.969411i | \(-0.578934\pi\) |
0.716813 | + | 0.697266i | \(0.245600\pi\) | |||||||
\(812\) | 2.49354e7 | − | 7.69155e6i | 0.0465745 | − | 0.0143663i | ||||
\(813\) | −9.58876e7 | − | 7.64678e7i | −0.178439 | − | 0.142301i | ||||
\(814\) | 1.20588e8 | + | 1.60914e9i | 0.223580 | + | 2.98346i | ||||
\(815\) | −2.61758e8 | + | 1.26056e8i | −0.483534 | + | 0.232858i | ||||
\(816\) | − | 3.36774e8i | − | 0.619824i | ||||||
\(817\) | −4.36071e7 | − | 2.21896e8i | −0.0799634 | − | 0.406896i | ||||
\(818\) | 3.85516e8 | 0.704341 | ||||||||
\(819\) | 2.70049e7 | + | 5.60763e7i | 0.0491577 | + | 0.102077i | ||||
\(820\) | −7.76185e6 | + | 581670.i | −0.0140774 | + | 0.00105496i | ||||
\(821\) | −3.47704e7 | + | 4.36007e7i | −0.0628320 | + | 0.0787888i | −0.812254 | − | 0.583303i | \(-0.801760\pi\) |
0.749422 | + | 0.662092i | \(0.230331\pi\) | |||||||
\(822\) | 3.06396e7 | + | 9.93311e7i | 0.0551655 | + | 0.178842i | ||||
\(823\) | 4.39468e8 | + | 7.61180e8i | 0.788365 | + | 1.36549i | 0.926968 | + | 0.375141i | \(0.122406\pi\) |
−0.138603 | + | 0.990348i | \(0.544261\pi\) | |||||||
\(824\) | 4.98707e7 | + | 2.87928e7i | 0.0891381 | + | 0.0514639i | ||||
\(825\) | −8.35491e7 | − | 1.90695e7i | −0.148792 | − | 0.0339608i | ||||
\(826\) | −1.55287e8 | + | 2.34058e7i | −0.275547 | + | 0.0415320i | ||||
\(827\) | −3.51141e8 | + | 3.25811e8i | −0.620818 | + | 0.576035i | −0.926592 | − | 0.376069i | \(-0.877276\pi\) |
0.305773 | + | 0.952104i | \(0.401085\pi\) | |||||||
\(828\) | −1.45509e8 | − | 1.82463e8i | −0.256330 | − | 0.321428i | ||||
\(829\) | 2.37705e8 | − | 3.48648e8i | 0.417228 | − | 0.611962i | −0.558879 | − | 0.829249i | \(-0.688769\pi\) |
0.976108 | + | 0.217287i | \(0.0697209\pi\) | |||||||
\(830\) | 8.01254e8 | + | 7.43455e8i | 1.40132 | + | 1.30023i | ||||
\(831\) | 749485. | − | 1.00012e7i | 0.00130605 | − | 0.0174280i | ||||
\(832\) | 6.15224e7 | + | 1.56756e8i | 0.106823 | + | 0.272180i | ||||
\(833\) | 2.36649e8 | + | 1.03683e9i | 0.409421 | + | 1.79379i | ||||
\(834\) | 8.18044e7 | + | 2.52333e7i | 0.141019 | + | 0.0434987i | ||||
\(835\) | −4.30134e8 | − | 6.30891e8i | −0.738830 | − | 1.08367i | ||||
\(836\) | 1.37723e7 | − | 9.13734e7i | 0.0235716 | − | 0.156387i | ||||
\(837\) | −5.07889e8 | − | 1.99332e8i | −0.866148 | − | 0.339938i | ||||
\(838\) | 2.74343e8 | + | 1.32117e8i | 0.466188 | + | 0.224505i | ||||
\(839\) | 2.02360e8 | − | 4.20205e8i | 0.342640 | − | 0.711500i | −0.656440 | − | 0.754378i | \(-0.727938\pi\) |
0.999080 | + | 0.0428781i | \(0.0136527\pi\) | |||||||
\(840\) | 1.36506e7 | − | 3.47811e7i | 0.0230310 | − | 0.0586820i | ||||
\(841\) | −2.87477e8 | − | 4.33302e7i | −0.483299 | − | 0.0728456i | ||||
\(842\) | 3.82140e8 | − | 2.60538e8i | 0.640156 | − | 0.436451i | ||||
\(843\) | −1.90591e6 | + | 6.17881e6i | −0.00318141 | + | 0.0103139i | ||||
\(844\) | −4.12070e7 | + | 9.40523e6i | −0.0685399 | + | 0.0156438i | ||||
\(845\) | 5.04975e8 | − | 1.98188e8i | 0.836951 | − | 0.328479i | ||||
\(846\) | −5.26102e8 | − | 3.94259e7i | −0.868878 | − | 0.0651134i | ||||
\(847\) | 9.01378e7 | − | 9.71455e7i | 0.148340 | − | 0.159872i | ||||
\(848\) | 6.95594e8 | + | 4.74248e8i | 1.14069 | + | 0.777711i | ||||
\(849\) | −4.15816e7 | + | 3.31602e7i | −0.0679483 | + | 0.0541869i | ||||
\(850\) | 3.89408e8 | + | 4.19682e8i | 0.634085 | + | 0.683381i | ||||
\(851\) | −2.81672e8 | − | 1.86877e9i | −0.457041 | − | 3.03227i | ||||
\(852\) | 1.49996e7 | − | 6.57173e7i | 0.0242527 | − | 0.106258i | ||||
\(853\) | −1.83424e8 | + | 3.17699e8i | −0.295534 | + | 0.511880i | −0.975109 | − | 0.221726i | \(-0.928831\pi\) |
0.679575 | + | 0.733606i | \(0.262164\pi\) | |||||||
\(854\) | 2.82742e7 | − | 1.63241e7i | 0.0453959 | − | 0.0262094i | ||||
\(855\) | 2.74732e8 | − | 8.47436e7i | 0.439553 | − | 0.135584i | ||||
\(856\) | 3.93924e8 | + | 3.14144e8i | 0.628046 | + | 0.500850i | ||||
\(857\) | 6.54891e7 | + | 8.73892e8i | 0.104046 | + | 1.38840i | 0.767915 | + | 0.640552i | \(0.221294\pi\) |
−0.663868 | + | 0.747849i | \(0.731086\pi\) | |||||||
\(858\) | −1.15546e8 | + | 5.56441e7i | −0.182934 | + | 0.0880963i | ||||
\(859\) | 6.35235e8i | 1.00220i | 0.865389 | + | 0.501100i | \(0.167071\pi\) | ||||
−0.865389 | + | 0.501100i | \(0.832929\pi\) | |||||||
\(860\) | 2.10373e8 | + | 6.38713e6i | 0.330746 | + | 0.0100418i | ||||
\(861\) | −1.76338e6 | −0.00276271 | ||||||||
\(862\) | −2.27005e8 | − | 4.71380e8i | −0.354416 | − | 0.735951i | ||||
\(863\) | 7.67068e7 | − | 5.74838e6i | 0.119344 | − | 0.00894361i | −0.0149241 | − | 0.999889i | \(-0.504751\pi\) |
0.134268 | + | 0.990945i | \(0.457132\pi\) | |||||||
\(864\) | 1.10615e8 | − | 1.38706e8i | 0.171503 | − | 0.215058i | ||||
\(865\) | 2.50811e8 | + | 8.13109e8i | 0.387524 | + | 1.25632i | ||||
\(866\) | −6.12527e8 | − | 1.06093e9i | −0.943129 | − | 1.63355i | ||||
\(867\) | 4.21739e8 | + | 2.43491e8i | 0.647122 | + | 0.373616i | ||||
\(868\) | 7.94436e7 | + | 1.81325e7i | 0.121479 | + | 0.0277267i | ||||
\(869\) | 9.01468e7 | − | 1.35874e7i | 0.137370 | − | 0.0207052i | ||||
\(870\) | −1.22634e8 | + | 1.13788e8i | −0.186232 | + | 0.172798i | ||||
\(871\) | 8.22220e7 | + | 1.03103e8i | 0.124432 | + | 0.156033i | ||||
\(872\) | −2.20643e8 | + | 3.23624e8i | −0.332768 | + | 0.488081i | ||||
\(873\) | 1.09858e8 | + | 1.01933e8i | 0.165115 | + | 0.153205i | ||||
\(874\) | −3.72253e7 | + | 4.96737e8i | −0.0557575 | + | 0.744032i | ||||
\(875\) | −4.14733e7 | − | 1.05672e8i | −0.0619077 | − | 0.157738i | ||||
\(876\) | −1.53365e7 | − | 6.71938e7i | −0.0228147 | − | 0.0999578i | ||||
\(877\) | 4.19449e8 | + | 1.29383e8i | 0.621843 | + | 0.191813i | 0.589637 | − | 0.807668i | \(-0.299271\pi\) |
0.0322057 | + | 0.999481i | \(0.489747\pi\) | |||||||
\(878\) | −6.54449e8 | − | 9.59900e8i | −0.966923 | − | 1.41822i | ||||
\(879\) | 5.68359e6 | − | 3.77082e7i | 0.00836866 | − | 0.0555225i | ||||
\(880\) | −1.24752e9 | − | 4.89614e8i | −1.83062 | − | 0.718465i | ||||
\(881\) | −4.45639e8 | − | 2.14609e8i | −0.651712 | − | 0.313848i | 0.0786559 | − | 0.996902i | \(-0.474937\pi\) |
−0.730368 | + | 0.683054i | \(0.760651\pi\) | |||||||
\(882\) | −2.94209e8 | + | 6.10932e8i | −0.428796 | + | 0.890403i | ||||
\(883\) | 2.17104e8 | − | 5.53171e8i | 0.315345 | − | 0.803485i | −0.682047 | − | 0.731308i | \(-0.738910\pi\) |
0.997392 | − | 0.0721768i | \(-0.0229946\pi\) | |||||||
\(884\) | 1.84062e8 | + | 2.77429e7i | 0.266445 | + | 0.0401601i | ||||
\(885\) | 1.80727e8 | − | 1.23218e8i | 0.260732 | − | 0.177764i | ||||
\(886\) | 1.35640e8 | − | 4.39733e8i | 0.195023 | − | 0.632248i | ||||
\(887\) | −3.36858e7 | + | 7.68857e6i | −0.0482699 | + | 0.0110173i | −0.246588 | − | 0.969120i | \(-0.579309\pi\) |
0.198318 | + | 0.980138i | \(0.436452\pi\) | |||||||
\(888\) | 2.70360e8 | − | 1.06109e8i | 0.386104 | − | 0.151535i | ||||
\(889\) | 1.03179e8 | + | 7.73222e6i | 0.146854 | + | 0.0110052i | ||||
\(890\) | 2.35415e8 | − | 2.53717e8i | 0.333937 | − | 0.359898i | ||||
\(891\) | 6.39428e8 | + | 4.35955e8i | 0.903980 | + | 0.616323i | ||||
\(892\) | −1.12572e8 | + | 8.97735e7i | −0.158612 | + | 0.126489i | ||||
\(893\) | 1.66405e8 | + | 1.79342e8i | 0.233675 | + | 0.251841i | ||||
\(894\) | 7.28977e6 | + | 4.83645e7i | 0.0102024 | + | 0.0676883i | ||||
\(895\) | 2.56702e8 | − | 1.12469e9i | 0.358064 | − | 1.56878i | ||||
\(896\) | 1.06609e8 | − | 1.84652e8i | 0.148207 | − | 0.256702i | ||||
\(897\) | 1.30077e8 | − | 7.51001e7i | 0.180229 | − | 0.104055i | ||||
\(898\) | 1.28520e9 | − | 3.96432e8i | 1.77477 | − | 0.547444i | ||||
\(899\) | 7.42440e8 | + | 5.92076e8i | 1.02184 | + | 0.814889i | ||||
\(900\) | 5.92665e6 | + | 7.90856e7i | 0.00812984 | + | 0.108485i | ||||
\(901\) | −1.48386e9 | + | 7.14590e8i | −2.02870 | + | 0.976973i | ||||
\(902\) | 4.86251e7i | 0.0662584i | ||||||||
\(903\) | 4.74186e7 | + | 5.00459e6i | 0.0643999 | + | 0.00679682i | ||||
\(904\) | −7.80693e8 | −1.05676 | ||||||||
\(905\) | −4.89802e8 | − | 1.01708e9i | −0.660807 | − | 1.37218i | ||||
\(906\) | 5.89262e7 | − | 4.41591e6i | 0.0792362 | − | 0.00593793i | ||||
\(907\) | 4.80377e8 | − | 6.02374e8i | 0.643814 | − | 0.807317i | −0.347660 | − | 0.937621i | \(-0.613024\pi\) |
0.991474 | + | 0.130303i | \(0.0415951\pi\) | |||||||
\(908\) | −8.21205e7 | − | 2.66228e8i | −0.109697 | − | 0.355628i | ||||
\(909\) | −1.10298e8 | − | 1.91041e8i | −0.146850 | − | 0.254352i | ||||
\(910\) | 1.07076e8 | + | 6.18205e7i | 0.142092 | + | 0.0820368i | ||||
\(911\) | −6.30300e8 | − | 1.43862e8i | −0.833666 | − | 0.190279i | −0.215676 | − | 0.976465i | \(-0.569196\pi\) |
−0.617990 | + | 0.786186i | \(0.712053\pi\) | |||||||
\(912\) | −9.84624e7 | + | 1.48408e7i | −0.129803 | + | 0.0195647i | ||||
\(913\) | 1.08750e9 | − | 1.00905e9i | 1.42895 | − | 1.32587i | ||||
\(914\) | 1.98276e8 | + | 2.48630e8i | 0.259676 | + | 0.325623i | ||||
\(915\) | −2.56165e7 | + | 3.75724e7i | −0.0334392 | + | 0.0490463i | ||||
\(916\) | 1.70507e7 | + | 1.58207e7i | 0.0221848 | + | 0.0205844i | ||||
\(917\) | −7.37220e6 | + | 9.83751e7i | −0.00956068 | + | 0.127578i | ||||
\(918\) | 3.18405e8 | + | 8.11282e8i | 0.411577 | + | 1.04868i | ||||
\(919\) | −5.23471e7 | − | 2.29347e8i | −0.0674444 | − | 0.295493i | 0.929945 | − | 0.367697i | \(-0.119854\pi\) |
−0.997390 | + | 0.0722043i | \(0.976997\pi\) | |||||||
\(920\) | 1.15307e9 | + | 3.55675e8i | 1.48079 | + | 0.456762i | ||||
\(921\) | −5.98899e7 | − | 8.78423e7i | −0.0766610 | − | 0.112441i | ||||
\(922\) | −1.73929e8 | + | 1.15394e9i | −0.221911 | + | 1.47228i | ||||
\(923\) | −5.40439e8 | − | 2.12107e8i | −0.687292 | − | 0.269742i | ||||
\(924\) | 1.75543e7 | + | 8.45371e6i | 0.0222519 | + | 0.0107160i | ||||
\(925\) | −2.78651e8 | + | 5.78624e8i | −0.352075 | + | 0.731091i | ||||
\(926\) | −6.09030e7 | + | 1.55178e8i | −0.0767018 | + | 0.195433i | ||||
\(927\) | −9.23860e7 | − | 1.39250e7i | −0.115976 | − | 0.0174805i | ||||
\(928\) | −2.55129e8 | + | 1.73944e8i | −0.319239 | + | 0.217653i | ||||
\(929\) | 3.20372e8 | − | 1.03862e9i | 0.399583 | − | 1.29542i | −0.502770 | − | 0.864420i | \(-0.667686\pi\) |
0.902353 | − | 0.430997i | \(-0.141838\pi\) | |||||||
\(930\) | −5.09311e8 | + | 1.16247e8i | −0.633190 | + | 0.144521i | ||||
\(931\) | 2.92708e8 | − | 1.14879e8i | 0.362731 | − | 0.142362i | ||||
\(932\) | −3.70715e8 | − | 2.77812e7i | −0.457923 | − | 0.0343166i | ||||
\(933\) | 7.62589e7 | − | 8.21876e7i | 0.0938957 | − | 0.101196i | ||||
\(934\) | −9.25112e8 | − | 6.30731e8i | −1.13541 | − | 0.774111i | ||||
\(935\) | 2.04975e9 | − | 1.63462e9i | 2.50765 | − | 1.99978i | ||||
\(936\) | −2.10110e8 | − | 2.26445e8i | −0.256224 | − | 0.276143i | ||||
\(937\) | −2.07387e7 | − | 1.37592e8i | −0.0252094 | − | 0.167253i | 0.972684 | − | 0.232135i | \(-0.0745711\pi\) |
−0.997893 | + | 0.0648817i | \(0.979333\pi\) | |||||||
\(938\) | 2.05200e7 | − | 8.99041e7i | 0.0248639 | − | 0.108936i | ||||
\(939\) | −1.37975e8 | + | 2.38980e8i | −0.166649 | + | 0.288645i | ||||
\(940\) | −1.97192e8 | + | 1.13849e8i | −0.237414 | + | 0.137071i | ||||
\(941\) | −3.32901e7 | + | 1.02686e7i | −0.0399527 | + | 0.0123238i | −0.314667 | − | 0.949202i | \(-0.601893\pi\) |
0.274714 | + | 0.961526i | \(0.411417\pi\) | |||||||
\(942\) | 1.05332e8 | + | 8.39997e7i | 0.126011 | + | 0.100491i | ||||
\(943\) | −4.25579e6 | − | 5.67896e7i | −0.00507511 | − | 0.0677226i | ||||
\(944\) | 9.13418e8 | − | 4.39879e8i | 1.08581 | − | 0.522898i | ||||
\(945\) | 1.25771e8i | 0.149034i | ||||||||
\(946\) | 1.38002e8 | − | 1.30757e9i | 0.163009 | − | 1.54451i | ||||
\(947\) | −8.43854e8 | −0.993613 | −0.496807 | − | 0.867861i | \(-0.665494\pi\) | ||||
−0.496807 | + | 0.867861i | \(0.665494\pi\) | |||||||
\(948\) | 2.73531e6 | + | 5.67994e6i | 0.00321057 | + | 0.00666682i | ||||
\(949\) | −5.91955e8 | + | 4.43609e7i | −0.692612 | + | 0.0519041i | ||||
\(950\) | 1.05542e8 | − | 1.32345e8i | 0.123099 | − | 0.154361i | ||||
\(951\) | −1.01667e8 | − | 3.29597e8i | −0.118206 | − | 0.383215i | ||||
\(952\) | 1.69394e8 | + | 2.93398e8i | 0.196330 | + | 0.340053i | ||||
\(953\) | 3.24607e8 | + | 1.87412e8i | 0.375041 | + | 0.216530i | 0.675659 | − | 0.737215i | \(-0.263859\pi\) |
−0.300617 | + | 0.953745i | \(0.597193\pi\) | |||||||
\(954\) | −1.02377e9 | − | 2.33670e8i | −1.17912 | − | 0.269127i | ||||
\(955\) | −1.28034e8 | + | 1.92980e7i | −0.146999 | + | 0.0221566i | ||||
\(956\) | 2.30652e8 | − | 2.14014e8i | 0.263987 | − | 0.244944i | ||||
\(957\) | 1.41568e8 | + | 1.77521e8i | 0.161521 | + | 0.202541i | ||||
\(958\) | −4.08666e8 | + | 5.99403e8i | −0.464806 | + | 0.681745i | ||||
\(959\) | −9.97085e7 | − | 9.25160e7i | −0.113051 | − | 0.104896i | ||||
\(960\) | −1.22569e7 | + | 1.63558e8i | −0.0138538 | + | 0.184866i | ||||
\(961\) | 7.59137e8 | + | 1.93425e9i | 0.855362 | + | 2.17943i | ||||
\(962\) | 2.13862e8 | + | 9.36992e8i | 0.240220 | + | 1.05247i | ||||
\(963\) | −7.81147e8 | − | 2.40952e8i | −0.874690 | − | 0.269806i | ||||
\(964\) | −1.63911e8 | − | 2.40413e8i | −0.182968 | − | 0.268365i | ||||
\(965\) | 5.74243e7 | − | 3.80986e8i | 0.0639019 | − | 0.423962i | ||||
\(966\) | −9.77708e7 | − | 3.83722e7i | −0.108462 | − | 0.0425682i | ||||
\(967\) | −6.60141e8 | − | 3.17907e8i | −0.730058 | − | 0.351578i | 0.0316488 | − | 0.999499i | \(-0.489924\pi\) |
−0.761707 | + | 0.647921i | \(0.775638\pi\) | |||||||
\(968\) | −2.85377e8 | + | 5.92592e8i | −0.314625 | + | 0.653325i | ||||
\(969\) | 7.11672e7 | − | 1.81331e8i | 0.0782183 | − | 0.199297i | ||||
\(970\) | 2.94381e8 | + | 4.43709e7i | 0.322549 | + | 0.0486164i | ||||
\(971\) | −8.55733e8 | + | 5.83429e8i | −0.934718 | + | 0.637280i | −0.931900 | − | 0.362716i | \(-0.881849\pi\) |
−0.00281805 | + | 0.999996i | \(0.500897\pi\) | |||||||
\(972\) | −5.40188e7 | + | 1.75125e8i | −0.0588229 | + | 0.190699i | ||||
\(973\) | −1.09210e8 | + | 2.49264e7i | −0.118556 | + | 0.0270596i | ||||
\(974\) | −6.99395e7 | + | 2.74492e7i | −0.0756913 | + | 0.0297066i | ||||
\(975\) | −5.08987e7 | − | 3.81433e6i | −0.0549152 | − | 0.00411533i | ||||
\(976\) | −1.43359e8 | + | 1.54504e8i | −0.154197 | + | 0.166185i | ||||
\(977\) | 3.14782e8 | + | 2.14614e8i | 0.337540 | + | 0.230131i | 0.720213 | − | 0.693753i | \(-0.244044\pi\) |
−0.382673 | + | 0.923884i | \(0.624996\pi\) | |||||||
\(978\) | −9.81268e7 | + | 7.82535e7i | −0.104899 | + | 0.0836541i | ||||
\(979\) | −3.19517e8 | − | 3.44357e8i | −0.340522 | − | 0.366996i | ||||
\(980\) | 4.36180e7 | + | 2.89386e8i | 0.0463433 | + | 0.307468i | ||||
\(981\) | 1.41409e8 | − | 6.19552e8i | 0.149785 | − | 0.656252i | ||||
\(982\) | −1.45942e7 | + | 2.52779e7i | −0.0154115 | + | 0.0266935i | ||||
\(983\) | −1.14681e9 | + | 6.62109e8i | −1.20734 | + | 0.697058i | −0.962177 | − | 0.272424i | \(-0.912175\pi\) |
−0.245163 | + | 0.969482i | \(0.578841\pi\) | |||||||
\(984\) | 8.36309e6 | − | 2.57967e6i | 0.00877771 | − | 0.00270757i | ||||
\(985\) | 6.59737e8 | + | 5.26122e8i | 0.690338 | + | 0.550526i | ||||
\(986\) | −1.13357e8 | − | 1.51264e9i | −0.118254 | − | 1.57799i | ||||
\(987\) | −4.64764e7 | + | 2.23819e7i | −0.0483372 | + | 0.0232780i | ||||
\(988\) | − | 5.50365e7i | − | 0.0570664i | ||||||
\(989\) | −4.67315e7 | + | 1.53920e9i | −0.0483082 | + | 1.59113i | ||||
\(990\) | 1.67162e9 | 1.72279 | ||||||||
\(991\) | 3.19133e7 | + | 6.62686e7i | 0.0327907 | + | 0.0680906i | 0.916721 | − | 0.399529i | \(-0.130826\pi\) |
−0.883930 | + | 0.467619i | \(0.845112\pi\) | |||||||
\(992\) | −9.61550e8 | + | 7.20582e7i | −0.985001 | + | 0.0738156i | ||||
\(993\) | −6.72468e6 | + | 8.43248e6i | −0.00686790 | + | 0.00861208i | ||||
\(994\) | 1.19664e8 | + | 3.87942e8i | 0.121844 | + | 0.395010i | ||||
\(995\) | 1.01733e8 | + | 1.76208e8i | 0.103275 | + | 0.178877i | ||||
\(996\) | 8.88445e7 | + | 5.12944e7i | 0.0899193 | + | 0.0519149i | ||||
\(997\) | 7.04096e8 | + | 1.60705e8i | 0.710471 | + | 0.162160i | 0.562459 | − | 0.826825i | \(-0.309855\pi\) |
0.148012 | + | 0.988986i | \(0.452713\pi\) | |||||||
\(998\) | −6.51257e8 | + | 9.81612e7i | −0.655180 | + | 0.0987525i | ||||
\(999\) | −7.16667e8 | + | 6.64969e8i | −0.718821 | + | 0.666968i |
(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.29.16 | yes | 252 | |
43.3 | odd | 42 | inner | 43.7.h.a.3.16 | ✓ | 252 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.7.h.a.3.16 | ✓ | 252 | 43.3 | odd | 42 | inner | |
43.7.h.a.29.16 | yes | 252 | 1.1 | even | 1 | trivial |