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 | 29.1 | ||
Character | \(\chi\) | \(=\) | 43.29 |
Dual form | 43.7.h.a.3.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{41}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −6.81728 | − | 14.1562i | −0.852160 | − | 1.76953i | −0.596189 | − | 0.802844i | \(-0.703319\pi\) |
−0.255972 | − | 0.966684i | \(-0.582395\pi\) | |||||||
\(3\) | −27.0740 | + | 2.02892i | −1.00274 | + | 0.0751452i | −0.565969 | − | 0.824426i | \(-0.691498\pi\) |
−0.436773 | + | 0.899572i | \(0.643879\pi\) | |||||||
\(4\) | −114.020 | + | 142.977i | −1.78157 | + | 2.23401i | ||||
\(5\) | 9.10871 | + | 29.5297i | 0.0728697 | + | 0.236238i | 0.984679 | − | 0.174376i | \(-0.0557907\pi\) |
−0.911809 | + | 0.410614i | \(0.865315\pi\) | |||||||
\(6\) | 213.293 | + | 369.435i | 0.987469 | + | 1.71035i | ||||
\(7\) | −416.520 | − | 240.478i | −1.21434 | − | 0.701102i | −0.250642 | − | 0.968080i | \(-0.580642\pi\) |
−0.963703 | + | 0.266978i | \(0.913975\pi\) | |||||||
\(8\) | 1820.95 | + | 415.620i | 3.55654 | + | 0.811757i | ||||
\(9\) | 8.02997 | − | 1.21032i | 0.0110150 | − | 0.00166025i | ||||
\(10\) | 355.933 | − | 330.257i | 0.355933 | − | 0.330257i | ||||
\(11\) | 559.511 | + | 701.604i | 0.420369 | + | 0.527125i | 0.946252 | − | 0.323431i | \(-0.104836\pi\) |
−0.525883 | + | 0.850557i | \(0.676265\pi\) | |||||||
\(12\) | 2796.90 | − | 4102.30i | 1.61858 | − | 2.37402i | ||||
\(13\) | −973.938 | − | 903.682i | −0.443304 | − | 0.411326i | 0.426683 | − | 0.904401i | \(-0.359682\pi\) |
−0.869986 | + | 0.493076i | \(0.835873\pi\) | |||||||
\(14\) | −564.727 | + | 7535.76i | −0.205804 | + | 2.74627i | ||||
\(15\) | −306.523 | − | 781.008i | −0.0908217 | − | 0.231410i | ||||
\(16\) | −3925.94 | − | 17200.7i | −0.958482 | − | 4.19938i | ||||
\(17\) | −4882.24 | − | 1505.97i | −0.993739 | − | 0.306528i | −0.245094 | − | 0.969499i | \(-0.578819\pi\) |
−0.748645 | + | 0.662971i | \(0.769295\pi\) | |||||||
\(18\) | −71.8762 | − | 105.423i | −0.0123244 | − | 0.0180766i | ||||
\(19\) | −1025.82 | + | 6805.89i | −0.149559 | + | 0.992257i | 0.780582 | + | 0.625054i | \(0.214923\pi\) |
−0.930141 | + | 0.367204i | \(0.880315\pi\) | |||||||
\(20\) | −5260.64 | − | 2064.65i | −0.657580 | − | 0.258081i | ||||
\(21\) | 11764.8 | + | 5665.63i | 1.27036 | + | 0.611773i | ||||
\(22\) | 6117.73 | − | 12703.6i | 0.574542 | − | 1.19305i | ||||
\(23\) | 4184.70 | − | 10662.4i | 0.343939 | − | 0.876342i | −0.649330 | − | 0.760507i | \(-0.724951\pi\) |
0.993269 | − | 0.115835i | \(-0.0369543\pi\) | |||||||
\(24\) | −50143.7 | − | 7557.95i | −3.62730 | − | 0.546727i | ||||
\(25\) | 12120.9 | − | 8263.92i | 0.775740 | − | 0.528891i | ||||
\(26\) | −6153.13 | + | 19947.9i | −0.350087 | + | 1.13495i | ||||
\(27\) | 19081.1 | − | 4355.15i | 0.969422 | − | 0.221264i | ||||
\(28\) | 81874.5 | − | 32133.4i | 3.72971 | − | 1.46380i | ||||
\(29\) | 27314.6 | + | 2046.95i | 1.11996 | + | 0.0839290i | 0.621813 | − | 0.783166i | \(-0.286397\pi\) |
0.498143 | + | 0.867095i | \(0.334016\pi\) | |||||||
\(30\) | −8966.48 | + | 9663.57i | −0.332092 | + | 0.357910i | ||||
\(31\) | 15149.6 | + | 10328.8i | 0.508528 | + | 0.346709i | 0.790247 | − | 0.612788i | \(-0.209952\pi\) |
−0.281719 | + | 0.959497i | \(0.590905\pi\) | |||||||
\(32\) | −123274. | + | 98307.7i | −3.76202 | + | 3.00011i | ||||
\(33\) | −16571.7 | − | 17860.1i | −0.461132 | − | 0.496982i | ||||
\(34\) | 11964.7 | + | 79380.8i | 0.304415 | + | 2.01966i | ||||
\(35\) | 3307.29 | − | 14490.2i | 0.0771379 | − | 0.337963i | ||||
\(36\) | −742.531 | + | 1286.10i | −0.0159150 | + | 0.0275656i | ||||
\(37\) | −62131.8 | + | 35871.8i | −1.22662 | + | 0.708187i | −0.966320 | − | 0.257342i | \(-0.917153\pi\) |
−0.260296 | + | 0.965529i | \(0.583820\pi\) | |||||||
\(38\) | 103339. | − | 31875.9i | 1.88328 | − | 0.580914i | ||||
\(39\) | 28201.9 | + | 22490.3i | 0.475429 | + | 0.379142i | ||||
\(40\) | 4313.37 | + | 57557.9i | 0.0673964 | + | 0.899342i | ||||
\(41\) | −4130.25 | + | 1989.02i | −0.0599273 | + | 0.0288595i | −0.463607 | − | 0.886041i | \(-0.653445\pi\) |
0.403680 | + | 0.914900i | \(0.367731\pi\) | |||||||
\(42\) | − | 205169.i | − | 2.76927i | ||||||
\(43\) | 79208.5 | − | 6883.12i | 0.996246 | − | 0.0865724i | ||||
\(44\) | −164109. | −1.92652 | ||||||||
\(45\) | 108.883 | + | 226.098i | 0.00119488 | + | 0.00248119i | ||||
\(46\) | −179468. | + | 13449.3i | −1.84380 | + | 0.138174i | ||||
\(47\) | 99068.7 | − | 124228.i | 0.954208 | − | 1.19654i | −0.0262194 | − | 0.999656i | \(-0.508347\pi\) |
0.980427 | − | 0.196882i | \(-0.0630817\pi\) | |||||||
\(48\) | 141190. | + | 457726.i | 1.27667 | + | 4.13887i | ||||
\(49\) | 56834.9 | + | 98441.0i | 0.483089 | + | 0.836734i | ||||
\(50\) | −199618. | − | 115249.i | −1.59694 | − | 0.921995i | ||||
\(51\) | 135238. | + | 30867.1i | 1.01950 | + | 0.232694i | ||||
\(52\) | 240254. | − | 36212.5i | 1.70868 | − | 0.257542i | ||||
\(53\) | −174364. | + | 161786.i | −1.17119 | + | 1.08671i | −0.176451 | + | 0.984309i | \(0.556462\pi\) |
−0.994743 | + | 0.102400i | \(0.967348\pi\) | |||||||
\(54\) | −191734. | − | 240427.i | −1.21764 | − | 1.52687i | ||||
\(55\) | −15621.8 | + | 22912.9i | −0.0938948 | + | 0.137718i | ||||
\(56\) | −658515. | − | 611012.i | −3.74974 | − | 3.47925i | ||||
\(57\) | 13964.6 | − | 186344.i | 0.0754056 | − | 1.00622i | ||||
\(58\) | −157234. | − | 400626.i | −0.805866 | − | 2.05331i | ||||
\(59\) | 76923.5 | + | 337024.i | 0.374544 | + | 1.64099i | 0.713842 | + | 0.700306i | \(0.246953\pi\) |
−0.339298 | + | 0.940679i | \(0.610190\pi\) | |||||||
\(60\) | 146616. | + | 45225.0i | 0.678777 | + | 0.209375i | ||||
\(61\) | 116467. | + | 170826.i | 0.513113 | + | 0.752599i | 0.992131 | − | 0.125206i | \(-0.0399593\pi\) |
−0.479017 | + | 0.877805i | \(0.659007\pi\) | |||||||
\(62\) | 42938.0 | − | 284875.i | 0.180163 | − | 1.19531i | ||||
\(63\) | −3635.70 | − | 1426.91i | −0.0145401 | − | 0.00570656i | ||||
\(64\) | 1.21473e6 | + | 584982.i | 4.63382 | + | 2.23153i | ||||
\(65\) | 17814.2 | − | 36991.5i | 0.0648673 | − | 0.134698i | ||||
\(66\) | −139857. | + | 356350.i | −0.486466 | + | 1.23950i | ||||
\(67\) | 148826. | + | 22432.0i | 0.494829 | + | 0.0745835i | 0.391716 | − | 0.920086i | \(-0.371882\pi\) |
0.103113 | + | 0.994670i | \(0.467120\pi\) | |||||||
\(68\) | 771993. | − | 526336.i | 2.45520 | − | 1.67393i | ||||
\(69\) | −91663.6 | + | 297166.i | −0.279029 | + | 0.904590i | ||||
\(70\) | −227673. | + | 51964.9i | −0.663770 | + | 0.151501i | ||||
\(71\) | −290490. | + | 114009.i | −0.811627 | + | 0.318540i | −0.734610 | − | 0.678490i | \(-0.762635\pi\) |
−0.0770172 | + | 0.997030i | \(0.524540\pi\) | |||||||
\(72\) | 15125.2 | + | 1133.48i | 0.0405232 | + | 0.00303679i | ||||
\(73\) | −49025.1 | + | 52836.5i | −0.126023 | + | 0.135821i | −0.792911 | − | 0.609337i | \(-0.791436\pi\) |
0.666888 | + | 0.745158i | \(0.267626\pi\) | |||||||
\(74\) | 931379. | + | 635004.i | 2.29843 | + | 1.56704i | ||||
\(75\) | −311396. | + | 248330.i | −0.738124 | + | 0.588635i | ||||
\(76\) | −856120. | − | 922678.i | −1.95027 | − | 2.10189i | ||||
\(77\) | −64327.1 | − | 426782.i | −0.140903 | − | 0.934833i | ||||
\(78\) | 126117. | − | 552556.i | 0.265761 | − | 1.16437i | ||||
\(79\) | 366398. | − | 634620.i | 0.743142 | − | 1.28716i | −0.207916 | − | 0.978147i | \(-0.566668\pi\) |
0.951058 | − | 0.309013i | \(-0.0999985\pi\) | |||||||
\(80\) | 472171. | − | 272608.i | 0.922208 | − | 0.532437i | ||||
\(81\) | −513425. | + | 158370.i | −0.966099 | + | 0.298002i | ||||
\(82\) | 56314.1 | + | 44909.0i | 0.102135 | + | 0.0814502i | ||||
\(83\) | 21590.4 | + | 288104.i | 0.0377595 | + | 0.503866i | 0.983735 | + | 0.179627i | \(0.0574891\pi\) |
−0.945975 | + | 0.324239i | \(0.894892\pi\) | |||||||
\(84\) | −2.15148e6 | + | 1.03610e6i | −3.62994 | + | 1.74809i | ||||
\(85\) | − | 157889.i | − | 0.257095i | ||||||
\(86\) | −637426. | − | 1.07437e6i | −1.00215 | − | 1.68911i | ||||
\(87\) | −743670. | −1.12933 | ||||||||
\(88\) | 727240. | + | 1.51013e6i | 1.06716 | + | 2.21598i | ||||
\(89\) | −249263. | + | 18679.7i | −0.353580 | + | 0.0264971i | −0.250336 | − | 0.968159i | \(-0.580541\pi\) |
−0.103243 | + | 0.994656i | \(0.532922\pi\) | |||||||
\(90\) | 2458.41 | − | 3082.75i | 0.00337231 | − | 0.00422874i | ||||
\(91\) | 188349. | + | 610613.i | 0.249942 | + | 0.810292i | ||||
\(92\) | 1.04734e6 | + | 1.81405e6i | 1.34501 | + | 2.32962i | ||||
\(93\) | −431116. | − | 248905.i | −0.535976 | − | 0.309446i | ||||
\(94\) | −2.43398e6 | − | 555541.i | −2.93045 | − | 0.668855i | ||||
\(95\) | −210320. | + | 31700.6i | −0.245307 | + | 0.0369741i | ||||
\(96\) | 3.13807e6 | − | 2.91170e6i | 3.54690 | − | 3.29104i | ||||
\(97\) | 371435. | + | 465765.i | 0.406975 | + | 0.510330i | 0.942508 | − | 0.334184i | \(-0.108461\pi\) |
−0.535533 | + | 0.844514i | \(0.679889\pi\) | |||||||
\(98\) | 1.00609e6 | − | 1.47567e6i | 1.06896 | − | 1.56787i | ||||
\(99\) | 5342.02 | + | 4956.67i | 0.00550554 | + | 0.00510839i | ||||
\(100\) | −200484. | + | 2.67527e6i | −0.200484 | + | 2.67527i | ||||
\(101\) | −385066. | − | 981133.i | −0.373742 | − | 0.952278i | −0.986757 | − | 0.162207i | \(-0.948139\pi\) |
0.613015 | − | 0.790071i | \(-0.289956\pi\) | |||||||
\(102\) | −484991. | − | 2.12488e6i | −0.457018 | − | 2.00233i | ||||
\(103\) | 509053. | + | 157022.i | 0.465855 | + | 0.143697i | 0.518792 | − | 0.854901i | \(-0.326382\pi\) |
−0.0529367 | + | 0.998598i | \(0.516858\pi\) | |||||||
\(104\) | −1.39790e6 | − | 2.05035e6i | −1.24273 | − | 1.82275i | ||||
\(105\) | −60142.3 | + | 399018.i | −0.0519532 | + | 0.344687i | ||||
\(106\) | 3.47897e6 | + | 1.36539e6i | 2.92101 | + | 1.14641i | ||||
\(107\) | 89234.1 | + | 42972.9i | 0.0728416 | + | 0.0350787i | 0.469950 | − | 0.882693i | \(-0.344272\pi\) |
−0.397108 | + | 0.917772i | \(0.629986\pi\) | |||||||
\(108\) | −1.55295e6 | + | 3.22473e6i | −1.23278 | + | 2.55990i | ||||
\(109\) | 41301.9 | − | 105236.i | 0.0318927 | − | 0.0812612i | −0.914040 | − | 0.405623i | \(-0.867054\pi\) |
0.945933 | + | 0.324362i | \(0.105150\pi\) | |||||||
\(110\) | 430858. | + | 64941.4i | 0.323710 | + | 0.0487914i | ||||
\(111\) | 1.60938e6 | − | 1.09726e6i | 1.17676 | − | 0.802304i | ||||
\(112\) | −2.50115e6 | + | 8.10853e6i | −1.78027 | + | 5.77149i | ||||
\(113\) | 764458. | − | 174483.i | 0.529808 | − | 0.120925i | 0.0507549 | − | 0.998711i | \(-0.483837\pi\) |
0.479053 | + | 0.877786i | \(0.340980\pi\) | |||||||
\(114\) | −2.73313e6 | + | 1.07268e6i | −1.84479 | + | 0.724026i | ||||
\(115\) | 352976. | + | 26451.9i | 0.232088 | + | 0.0173926i | ||||
\(116\) | −3.40708e6 | + | 3.67196e6i | −2.18277 | + | 2.35247i | ||||
\(117\) | −8914.44 | − | 6077.76i | −0.00556591 | − | 0.00379478i | ||||
\(118\) | 4.24658e6 | − | 3.38653e6i | 2.58460 | − | 2.06115i | ||||
\(119\) | 1.67140e6 | + | 1.80134e6i | 0.991835 | + | 1.06894i | ||||
\(120\) | −233561. | − | 1.54957e6i | −0.135162 | − | 0.896744i | ||||
\(121\) | 215013. | − | 942035.i | 0.121369 | − | 0.531754i | ||||
\(122\) | 1.62426e6 | − | 2.81330e6i | 0.894491 | − | 1.54930i | ||||
\(123\) | 107787. | − | 62230.9i | 0.0579230 | − | 0.0334419i | ||||
\(124\) | −3.20413e6 | + | 988344.i | −1.68053 | + | 0.518374i | ||||
\(125\) | 731948. | + | 583709.i | 0.374757 | + | 0.298859i | ||||
\(126\) | 4585.97 | + | 61195.5i | 0.00229255 | + | 0.0305920i | ||||
\(127\) | 249776. | − | 120286.i | 0.121938 | − | 0.0587224i | −0.371920 | − | 0.928265i | \(-0.621300\pi\) |
0.493858 | + | 0.869542i | \(0.335586\pi\) | |||||||
\(128\) | − | 1.10929e7i | − | 5.28949i | ||||||
\(129\) | −2.13053e6 | + | 347061.i | −0.992472 | + | 0.161673i | ||||
\(130\) | −645104. | −0.293630 | ||||||||
\(131\) | 731502. | + | 1.51898e6i | 0.325388 | + | 0.675675i | 0.997925 | − | 0.0643882i | \(-0.0205096\pi\) |
−0.672537 | + | 0.740064i | \(0.734795\pi\) | |||||||
\(132\) | 4.44308e6 | − | 332963.i | 1.93180 | − | 0.144769i | ||||
\(133\) | 2.06394e6 | − | 2.58810e6i | 0.877290 | − | 1.10009i | ||||
\(134\) | −697039. | − | 2.25974e6i | −0.289696 | − | 0.939171i | ||||
\(135\) | 302411. | + | 523791.i | 0.122913 | + | 0.212891i | ||||
\(136\) | −8.26440e6 | − | 4.77145e6i | −3.28545 | − | 1.89685i | ||||
\(137\) | −1.51113e6 | − | 344905.i | −0.587678 | − | 0.134134i | −0.0816653 | − | 0.996660i | \(-0.526024\pi\) |
−0.506012 | + | 0.862526i | \(0.668881\pi\) | |||||||
\(138\) | 4.83165e6 | − | 728254.i | 1.83848 | − | 0.277106i | ||||
\(139\) | 519962. | − | 482455.i | 0.193610 | − | 0.179644i | −0.577411 | − | 0.816454i | \(-0.695937\pi\) |
0.771021 | + | 0.636810i | \(0.219746\pi\) | |||||||
\(140\) | 1.69466e6 | + | 2.12504e6i | 0.617588 | + | 0.774431i | ||||
\(141\) | −2.43014e6 | + | 3.56436e6i | −0.866911 | + | 1.27152i | ||||
\(142\) | 3.59429e6 | + | 3.33502e6i | 1.25530 | + | 1.16475i | ||||
\(143\) | 89098.6 | − | 1.18894e6i | 0.0304693 | − | 0.406585i | ||||
\(144\) | −52343.6 | − | 133369.i | −0.0175297 | − | 0.0446651i | ||||
\(145\) | 188355. | + | 825237.i | 0.0617836 | + | 0.270692i | ||||
\(146\) | 1.08218e6 | + | 333810.i | 0.347730 | + | 0.107261i | ||||
\(147\) | −1.73848e6 | − | 2.54988e6i | −0.547290 | − | 0.802727i | ||||
\(148\) | 1.95544e6 | − | 1.29735e7i | 0.603198 | − | 4.00196i | ||||
\(149\) | −1.28395e6 | − | 503914.i | −0.388141 | − | 0.152334i | 0.163243 | − | 0.986586i | \(-0.447805\pi\) |
−0.551384 | + | 0.834252i | \(0.685900\pi\) | |||||||
\(150\) | 5.63830e6 | + | 2.71526e6i | 1.67061 | + | 0.804521i | ||||
\(151\) | 1.51097e6 | − | 3.13756e6i | 0.438858 | − | 0.911298i | −0.557828 | − | 0.829956i | \(-0.688365\pi\) |
0.996686 | − | 0.0813418i | \(-0.0259205\pi\) | |||||||
\(152\) | −4.69664e6 | + | 1.19668e7i | −1.33738 | + | 3.40760i | ||||
\(153\) | −41027.0 | − | 6183.82i | −0.0114550 | − | 0.00172656i | ||||
\(154\) | −5.60309e6 | + | 3.82012e6i | −1.53414 | + | 1.04596i | ||||
\(155\) | −167013. | + | 541444.i | −0.0448494 | + | 0.145398i | ||||
\(156\) | −6.43118e6 | + | 1.46788e6i | −1.69401 | + | 0.386648i | ||||
\(157\) | 793220. | − | 311316.i | 0.204972 | − | 0.0804456i | −0.260634 | − | 0.965438i | \(-0.583932\pi\) |
0.465606 | + | 0.884992i | \(0.345836\pi\) | |||||||
\(158\) | −1.14817e7 | − | 860431.i | −2.91094 | − | 0.218145i | ||||
\(159\) | 4.39249e6 | − | 4.73397e6i | 1.09275 | − | 1.17770i | ||||
\(160\) | −4.02587e6 | − | 2.74479e6i | −0.982877 | − | 0.670114i | ||||
\(161\) | −4.30710e6 | + | 3.43480e6i | −1.03207 | + | 0.823045i | ||||
\(162\) | 5.74209e6 | + | 6.18850e6i | 1.35059 | + | 1.45559i | ||||
\(163\) | 580363. | + | 3.85045e6i | 0.134010 | + | 0.889097i | 0.950273 | + | 0.311417i | \(0.100804\pi\) |
−0.816263 | + | 0.577680i | \(0.803958\pi\) | |||||||
\(164\) | 186548. | − | 817319.i | 0.0422920 | − | 0.185293i | ||||
\(165\) | 376456. | − | 652040.i | 0.0838035 | − | 0.145152i | ||||
\(166\) | 3.93128e6 | − | 2.26972e6i | 0.859428 | − | 0.496191i | ||||
\(167\) | 3.02466e6 | − | 932983.i | 0.649422 | − | 0.200320i | 0.0474952 | − | 0.998871i | \(-0.484876\pi\) |
0.601927 | + | 0.798551i | \(0.294400\pi\) | |||||||
\(168\) | 1.90684e7 | + | 1.52065e7i | 4.02148 | + | 3.20702i | ||||
\(169\) | −228795. | − | 3.05305e6i | −0.0474008 | − | 0.632520i | ||||
\(170\) | −2.23511e6 | + | 1.07637e6i | −0.454938 | + | 0.219086i | ||||
\(171\) | 55892.7i | 0.0111781i | ||||||||
\(172\) | −8.04724e6 | + | 1.21098e7i | −1.58147 | + | 2.37986i | ||||
\(173\) | −3.75727e6 | −0.725661 | −0.362830 | − | 0.931855i | \(-0.618190\pi\) | ||||
−0.362830 | + | 0.931855i | \(0.618190\pi\) | |||||||
\(174\) | 5.06981e6 | + | 1.05276e7i | 0.962373 | + | 1.99839i | ||||
\(175\) | −7.03591e6 | + | 527269.i | −1.31282 | + | 0.0983825i | ||||
\(176\) | 9.87145e6 | − | 1.23784e7i | 1.81069 | − | 2.27053i | ||||
\(177\) | −2.76643e6 | − | 8.96853e6i | −0.498884 | − | 1.61734i | ||||
\(178\) | 1.96373e6 | + | 3.40127e6i | 0.348194 | + | 0.603089i | ||||
\(179\) | 7.98726e6 | + | 4.61145e6i | 1.39264 | + | 0.804041i | 0.993607 | − | 0.112896i | \(-0.0360126\pi\) |
0.399033 | + | 0.916937i | \(0.369346\pi\) | |||||||
\(180\) | −44741.7 | − | 10212.0i | −0.00767176 | − | 0.00175103i | ||||
\(181\) | 835430. | − | 125921.i | 0.140888 | − | 0.0212355i | −0.0782195 | − | 0.996936i | \(-0.524923\pi\) |
0.219108 | + | 0.975701i | \(0.429685\pi\) | |||||||
\(182\) | 7.35995e6 | − | 6.82903e6i | 1.22084 | − | 1.13278i | ||||
\(183\) | −3.49982e6 | − | 4.38864e6i | −0.571075 | − | 0.716105i | ||||
\(184\) | 1.20517e7 | − | 1.76765e7i | 1.93461 | − | 2.83755i | ||||
\(185\) | −1.62523e6 | − | 1.50799e6i | −0.256684 | − | 0.238168i | ||||
\(186\) | −584517. | + | 7.79984e6i | −0.0908361 | + | 1.21212i | ||||
\(187\) | −1.67507e6 | − | 4.26801e6i | −0.256158 | − | 0.652680i | ||||
\(188\) | 6.46592e6 | + | 2.83291e7i | 0.973099 | + | 4.26342i | ||||
\(189\) | −8.99500e6 | − | 2.77459e6i | −1.33234 | − | 0.410973i | ||||
\(190\) | 1.88257e6 | + | 2.76123e6i | 0.274468 | + | 0.402570i | ||||
\(191\) | −224666. | + | 1.49056e6i | −0.0322432 | + | 0.213919i | −0.999151 | − | 0.0412080i | \(-0.986879\pi\) |
0.966907 | + | 0.255128i | \(0.0821175\pi\) | |||||||
\(192\) | −3.40745e7 | − | 1.33732e7i | −4.81422 | − | 1.88944i | ||||
\(193\) | 1.10336e7 | + | 5.31349e6i | 1.53477 | + | 0.739108i | 0.994730 | − | 0.102529i | \(-0.0326935\pi\) |
0.540043 | + | 0.841637i | \(0.318408\pi\) | |||||||
\(194\) | 4.06130e6 | − | 8.43337e6i | 0.556237 | − | 1.15504i | ||||
\(195\) | −407249. | + | 1.03765e6i | −0.0549232 | + | 0.139942i | ||||
\(196\) | −2.05551e7 | − | 3.09818e6i | −2.72993 | − | 0.411471i | ||||
\(197\) | 2.38104e6 | − | 1.62336e6i | 0.311435 | − | 0.212333i | −0.397508 | − | 0.917599i | \(-0.630125\pi\) |
0.708943 | + | 0.705266i | \(0.249172\pi\) | |||||||
\(198\) | 33749.7 | − | 109414.i | 0.00434785 | − | 0.0140954i | ||||
\(199\) | −1.16305e7 | + | 2.65459e6i | −1.47584 | + | 0.336851i | −0.883345 | − | 0.468723i | \(-0.844714\pi\) |
−0.592495 | + | 0.805574i | \(0.701857\pi\) | |||||||
\(200\) | 2.55063e7 | − | 1.00105e7i | 3.18828 | − | 1.25131i | ||||
\(201\) | −4.07484e6 | − | 305367.i | −0.501791 | − | 0.0376040i | ||||
\(202\) | −1.12640e7 | + | 1.21397e7i | −1.36660 | + | 1.47284i | ||||
\(203\) | −1.08848e7 | − | 7.42115e6i | −1.30117 | − | 0.887122i | ||||
\(204\) | −1.98331e7 | + | 1.58164e7i | −2.33614 | + | 1.86301i | ||||
\(205\) | −96356.6 | − | 103848.i | −0.0111846 | − | 0.0120541i | ||||
\(206\) | −1.24752e6 | − | 8.27673e6i | −0.142707 | − | 0.946797i | ||||
\(207\) | 20698.0 | − | 90684.0i | 0.00233355 | − | 0.0102240i | ||||
\(208\) | −1.17203e7 | + | 2.03002e7i | −1.30242 | + | 2.25585i | ||||
\(209\) | −5.34900e6 | + | 3.08825e6i | −0.585914 | + | 0.338278i | ||||
\(210\) | 6.05860e6 | − | 1.86883e6i | 0.654205 | − | 0.201796i | ||||
\(211\) | 6.87762e6 | + | 5.48472e6i | 0.732134 | + | 0.583857i | 0.916991 | − | 0.398908i | \(-0.130611\pi\) |
−0.184857 | + | 0.982765i | \(0.559182\pi\) | |||||||
\(212\) | −3.25065e6 | − | 4.33769e7i | −0.341163 | − | 4.55251i | ||||
\(213\) | 7.63343e6 | − | 3.67607e6i | 0.789916 | − | 0.380404i | ||||
\(214\) | − | 1.55618e6i | − | 0.158788i | ||||||
\(215\) | 924744. | + | 2.27631e6i | 0.0930478 | + | 0.229042i | ||||
\(216\) | 3.65559e7 | 3.62740 | ||||||||
\(217\) | −3.82625e6 | − | 7.94529e6i | −0.374450 | − | 0.777554i | ||||
\(218\) | −1.77131e6 | + | 132741.i | −0.170972 | + | 0.0128126i | ||||
\(219\) | 1.22011e6 | − | 1.52997e6i | 0.116162 | − | 0.145663i | ||||
\(220\) | −1.49482e6 | − | 4.84608e6i | −0.140385 | − | 0.455117i | ||||
\(221\) | 3.39408e6 | + | 5.87872e6i | 0.314445 | + | 0.544635i | ||||
\(222\) | −2.65046e7 | − | 1.53024e7i | −2.42249 | − | 1.39863i | ||||
\(223\) | −2.53110e6 | − | 577707.i | −0.228242 | − | 0.0520946i | 0.106870 | − | 0.994273i | \(-0.465917\pi\) |
−0.335112 | + | 0.942178i | \(0.608774\pi\) | |||||||
\(224\) | 7.49869e7 | − | 1.13025e7i | 6.67178 | − | 1.00561i | ||||
\(225\) | 87328.8 | − | 81029.3i | 0.00766673 | − | 0.00711368i | ||||
\(226\) | −7.68154e6 | − | 9.63235e6i | −0.665462 | − | 0.834463i | ||||
\(227\) | −9.32594e6 | + | 1.36786e7i | −0.797288 | + | 1.16941i | 0.185131 | + | 0.982714i | \(0.440729\pi\) |
−0.982418 | + | 0.186693i | \(0.940223\pi\) | |||||||
\(228\) | 2.50507e7 | + | 2.32436e7i | 2.11356 | + | 1.96110i | ||||
\(229\) | −1.22179e6 | + | 1.63036e7i | −0.101739 | + | 1.35762i | 0.679633 | + | 0.733552i | \(0.262139\pi\) |
−0.781372 | + | 0.624065i | \(0.785480\pi\) | |||||||
\(230\) | −2.03188e6 | − | 5.17714e6i | −0.166999 | − | 0.425507i | ||||
\(231\) | 2.60750e6 | + | 1.14242e7i | 0.211538 | + | 0.926809i | ||||
\(232\) | 4.88877e7 | + | 1.50799e7i | 3.91504 | + | 1.20763i | ||||
\(233\) | 4.88312e6 | + | 7.16223e6i | 0.386038 | + | 0.566214i | 0.969241 | − | 0.246113i | \(-0.0791533\pi\) |
−0.583203 | + | 0.812326i | \(0.698201\pi\) | |||||||
\(234\) | −25266.0 | + | 167629.i | −0.00197192 | + | 0.0130828i | ||||
\(235\) | 4.57081e6 | + | 1.79391e6i | 0.352200 | + | 0.138228i | ||||
\(236\) | −5.69574e7 | − | 2.74293e7i | −4.33326 | − | 2.08679i | ||||
\(237\) | −8.63228e6 | + | 1.79251e7i | −0.648456 | + | 1.34653i | ||||
\(238\) | 1.41058e7 | − | 3.59410e7i | 1.04632 | − | 2.66599i | ||||
\(239\) | 401916. | + | 60579.1i | 0.0294403 | + | 0.00443740i | 0.163746 | − | 0.986503i | \(-0.447642\pi\) |
−0.134306 | + | 0.990940i | \(0.542880\pi\) | |||||||
\(240\) | −1.22305e7 | + | 8.33860e6i | −0.884728 | + | 0.603197i | ||||
\(241\) | 4.96419e6 | − | 1.60935e7i | 0.354648 | − | 1.14974i | −0.585987 | − | 0.810320i | \(-0.699293\pi\) |
0.940635 | − | 0.339420i | \(-0.110231\pi\) | |||||||
\(242\) | −1.48015e7 | + | 3.37834e6i | −1.04438 | + | 0.238373i | ||||
\(243\) | 297566. | − | 116786.i | 0.0207379 | − | 0.00813903i | ||||
\(244\) | −3.77037e7 | − | 2.82550e6i | −2.59546 | − | 0.194503i | ||||
\(245\) | −2.38924e6 | + | 2.57499e6i | −0.162466 | + | 0.175096i | ||||
\(246\) | −1.61577e6 | − | 1.10161e6i | −0.108536 | − | 0.0739986i | ||||
\(247\) | 7.14945e6 | − | 5.70150e6i | 0.474441 | − | 0.378354i | ||||
\(248\) | 2.32937e7 | + | 2.51047e7i | 1.52716 | + | 1.64588i | ||||
\(249\) | −1.16908e6 | − | 7.75634e6i | −0.0757262 | − | 0.502410i | ||||
\(250\) | 3.27322e6 | − | 1.43409e7i | 0.209486 | − | 0.917819i | ||||
\(251\) | 1.51427e7 | − | 2.62279e7i | 0.957593 | − | 1.65860i | 0.229274 | − | 0.973362i | \(-0.426365\pi\) |
0.728319 | − | 0.685238i | \(-0.240302\pi\) | |||||||
\(252\) | 618558. | − | 357125.i | 0.0386526 | − | 0.0223161i | ||||
\(253\) | 9.82220e6 | − | 3.02975e6i | 0.606523 | − | 0.187088i | ||||
\(254\) | −3.40559e6 | − | 2.71587e6i | −0.207822 | − | 0.165732i | ||||
\(255\) | 320343. | + | 4.27469e6i | 0.0193195 | + | 0.257800i | ||||
\(256\) | −7.92905e7 | + | 3.81843e7i | −4.72608 | + | 2.27596i | ||||
\(257\) | 2.48322e7i | 1.46290i | 0.681893 | + | 0.731452i | \(0.261157\pi\) | ||||
−0.681893 | + | 0.731452i | \(0.738843\pi\) | |||||||
\(258\) | 1.94375e7 | + | 2.77942e7i | 1.13183 | + | 1.61844i | ||||
\(259\) | 3.45055e7 | 1.98605 | ||||||||
\(260\) | 3.25775e6 | + | 6.76479e6i | 0.185352 | + | 0.384888i | ||||
\(261\) | 221813. | − | 16622.6i | 0.0124757 | − | 0.000934925i | ||||
\(262\) | 1.65162e7 | − | 2.07106e7i | 0.918344 | − | 1.15157i | ||||
\(263\) | 1.80034e6 | + | 5.83656e6i | 0.0989663 | + | 0.320841i | 0.991494 | − | 0.130151i | \(-0.0415464\pi\) |
−0.892528 | + | 0.450992i | \(0.851070\pi\) | |||||||
\(264\) | −2.27533e7 | − | 3.94098e7i | −1.23661 | − | 2.14187i | ||||
\(265\) | −6.36573e6 | − | 3.67526e6i | −0.342066 | − | 0.197492i | ||||
\(266\) | −5.07083e7 | − | 1.15738e7i | −2.69423 | − | 0.614940i | ||||
\(267\) | 6.71065e6 | − | 1.01147e6i | 0.352558 | − | 0.0531396i | ||||
\(268\) | −2.01764e7 | + | 1.87210e7i | −1.04819 | + | 0.972579i | ||||
\(269\) | −3.74628e6 | − | 4.69769e6i | −0.192461 | − | 0.241339i | 0.676233 | − | 0.736688i | \(-0.263611\pi\) |
−0.868694 | + | 0.495349i | \(0.835040\pi\) | |||||||
\(270\) | 5.35329e6 | − | 7.85183e6i | 0.271975 | − | 0.398914i | ||||
\(271\) | 2.16702e7 | + | 2.01070e7i | 1.08882 | + | 1.01028i | 0.999899 | + | 0.0142380i | \(0.00453224\pi\) |
0.0889207 | + | 0.996039i | \(0.471658\pi\) | |||||||
\(272\) | −6.73634e6 | + | 8.98902e7i | −0.334747 | + | 4.46689i | ||||
\(273\) | −6.33826e6 | − | 1.61496e7i | −0.311517 | − | 0.793733i | ||||
\(274\) | 5.41922e6 | + | 2.37432e7i | 0.263442 | + | 1.15422i | ||||
\(275\) | 1.25798e7 | + | 3.88035e6i | 0.604889 | + | 0.186583i | ||||
\(276\) | −3.20363e7 | − | 4.69887e7i | −1.52376 | − | 2.23494i | ||||
\(277\) | 1.63074e6 | − | 1.08192e7i | 0.0767263 | − | 0.509046i | −0.917150 | − | 0.398543i | \(-0.869516\pi\) |
0.993876 | − | 0.110503i | \(-0.0352460\pi\) | |||||||
\(278\) | −1.03745e7 | − | 4.07168e6i | −0.482871 | − | 0.189513i | ||||
\(279\) | 134152. | + | 64604.1i | 0.00617708 | + | 0.00297473i | ||||
\(280\) | 1.20448e7 | − | 2.50113e7i | 0.548688 | − | 1.13936i | ||||
\(281\) | −2.38230e6 | + | 6.06999e6i | −0.107369 | + | 0.273571i | −0.974453 | − | 0.224590i | \(-0.927896\pi\) |
0.867085 | + | 0.498161i | \(0.165991\pi\) | |||||||
\(282\) | 6.70249e7 | + | 1.01024e7i | 2.98875 | + | 0.450481i | ||||
\(283\) | 2.05428e7 | − | 1.40059e7i | 0.906361 | − | 0.617946i | −0.0178454 | − | 0.999841i | \(-0.505681\pi\) |
0.924206 | + | 0.381895i | \(0.124728\pi\) | |||||||
\(284\) | 1.68211e7 | − | 5.45327e7i | 0.734344 | − | 2.38069i | ||||
\(285\) | 5.62990e6 | − | 1.28499e6i | 0.243201 | − | 0.0555091i | ||||
\(286\) | −1.74383e7 | + | 6.84403e6i | −0.745429 | + | 0.292559i | ||||
\(287\) | 2.19865e6 | + | 164766.i | 0.0930058 | + | 0.00696982i | ||||
\(288\) | −870902. | + | 938609.i | −0.0364579 | + | 0.0392923i | ||||
\(289\) | 1.62493e6 | + | 1.10786e6i | 0.0673197 | + | 0.0458978i | ||||
\(290\) | 1.03982e7 | − | 8.29227e6i | 0.426347 | − | 0.340000i | ||||
\(291\) | −1.10012e7 | − | 1.18565e7i | −0.446440 | − | 0.481148i | ||||
\(292\) | −1.96454e6 | − | 1.30339e7i | −0.0789065 | − | 0.523511i | ||||
\(293\) | −769740. | + | 3.37245e6i | −0.0306014 | + | 0.134074i | −0.987921 | − | 0.154958i | \(-0.950476\pi\) |
0.957320 | + | 0.289031i | \(0.0933331\pi\) | |||||||
\(294\) | −2.42450e7 | + | 4.19936e7i | −0.954070 | + | 1.65250i | ||||
\(295\) | −9.25155e6 | + | 5.34138e6i | −0.360370 | + | 0.208060i | ||||
\(296\) | −1.28048e8 | + | 3.94975e7i | −4.93739 | + | 1.52298i | ||||
\(297\) | 1.37317e7 | + | 1.09507e7i | 0.524149 | + | 0.417995i | ||||
\(298\) | 1.61954e6 | + | 2.16112e7i | 0.0611987 | + | 0.816640i | ||||
\(299\) | −1.37111e7 | + | 6.60292e6i | −0.512931 | + | 0.247015i | ||||
\(300\) | − | 7.28371e7i | − | 2.69767i | ||||||
\(301\) | −3.46472e7 | − | 1.61810e7i | −1.27048 | − | 0.593341i | ||||
\(302\) | −5.47166e7 | −1.98655 | ||||||||
\(303\) | 1.24159e7 | + | 2.57820e7i | 0.446326 | + | 0.926805i | ||||
\(304\) | 1.21093e8 | − | 9.07468e6i | 4.31022 | − | 0.323006i | ||||
\(305\) | −3.98357e6 | + | 4.99524e6i | −0.140402 | + | 0.176058i | ||||
\(306\) | 192153. | + | 622944.i | 0.00670629 | + | 0.0217413i | ||||
\(307\) | 1.21477e7 | + | 2.10404e7i | 0.419835 | + | 0.727176i | 0.995923 | − | 0.0902124i | \(-0.0287546\pi\) |
−0.576087 | + | 0.817388i | \(0.695421\pi\) | |||||||
\(308\) | 6.83545e7 | + | 3.94645e7i | 2.33946 | + | 1.35069i | ||||
\(309\) | −1.41007e7 | − | 3.21839e6i | −0.477931 | − | 0.109085i | ||||
\(310\) | 8.80339e6 | − | 1.32690e6i | 0.295505 | − | 0.0445402i | ||||
\(311\) | 5.73904e6 | − | 5.32505e6i | 0.190791 | − | 0.177028i | −0.578993 | − | 0.815332i | \(-0.696554\pi\) |
0.769784 | + | 0.638304i | \(0.220364\pi\) | |||||||
\(312\) | 4.20069e7 | + | 5.26750e7i | 1.38311 | + | 1.73437i | ||||
\(313\) | 7.30999e6 | − | 1.07218e7i | 0.238388 | − | 0.349651i | −0.688337 | − | 0.725391i | \(-0.741659\pi\) |
0.926725 | + | 0.375740i | \(0.122611\pi\) | |||||||
\(314\) | −9.81467e6 | − | 9.10668e6i | −0.317020 | − | 0.294152i | ||||
\(315\) | 9019.63 | − | 120359.i | 0.000288574 | − | 0.00385075i | ||||
\(316\) | 4.89591e7 | + | 1.24746e8i | 1.55157 | + | 3.95335i | ||||
\(317\) | −8.23347e6 | − | 3.60732e7i | −0.258467 | − | 1.13242i | −0.922891 | − | 0.385062i | \(-0.874180\pi\) |
0.664424 | − | 0.747356i | \(-0.268677\pi\) | |||||||
\(318\) | −9.69601e7 | − | 2.99082e7i | −3.01517 | − | 0.930056i | ||||
\(319\) | 1.38467e7 | + | 2.03093e7i | 0.426553 | + | 0.625638i | ||||
\(320\) | −6.20975e6 | + | 4.11990e7i | −0.189507 | + | 1.25729i | ||||
\(321\) | −2.50312e6 | − | 982402.i | −0.0756774 | − | 0.0297012i | ||||
\(322\) | 7.79865e7 | + | 3.75563e7i | 2.33589 | + | 1.12490i | ||||
\(323\) | 1.52578e7 | − | 3.16832e7i | 0.452777 | − | 0.940201i | ||||
\(324\) | 3.58975e7 | − | 9.14652e7i | 1.05543 | − | 2.68919i | ||||
\(325\) | −1.92730e7 | − | 2.90494e6i | −0.561435 | − | 0.0846227i | ||||
\(326\) | 5.05514e7 | − | 3.44654e7i | 1.45908 | − | 0.994787i | ||||
\(327\) | −904696. | + | 2.93295e6i | −0.0258738 | + | 0.0838807i | ||||
\(328\) | −8.34765e6 | + | 1.90530e6i | −0.236561 | + | 0.0539935i | ||||
\(329\) | −7.11383e7 | + | 2.79197e7i | −1.99763 | + | 0.784013i | ||||
\(330\) | −1.17968e7 | − | 884051.i | −0.328264 | − | 0.0246000i | ||||
\(331\) | 3.00245e7 | − | 3.23587e7i | 0.827926 | − | 0.892293i | −0.167688 | − | 0.985840i | \(-0.553630\pi\) |
0.995615 | + | 0.0935475i | \(0.0298207\pi\) | |||||||
\(332\) | −4.36539e7 | − | 2.97627e7i | −1.19291 | − | 0.813315i | ||||
\(333\) | −455500. | + | 363249.i | −0.0123355 | + | 0.00983721i | ||||
\(334\) | −3.38275e7 | − | 3.64573e7i | −0.907884 | − | 0.978466i | ||||
\(335\) | 693207. | + | 4.59912e6i | 0.0184386 | + | 0.122332i | ||||
\(336\) | 5.12647e7 | − | 2.24605e8i | 1.35145 | − | 5.92110i | ||||
\(337\) | −1.00958e7 | + | 1.74864e7i | −0.263785 | + | 0.456889i | −0.967245 | − | 0.253846i | \(-0.918304\pi\) |
0.703459 | + | 0.710735i | \(0.251638\pi\) | |||||||
\(338\) | −4.16599e7 | + | 2.40524e7i | −1.07887 | + | 0.622885i | ||||
\(339\) | −2.03430e7 | + | 6.27498e6i | −0.522174 | + | 0.161069i | ||||
\(340\) | 2.25744e7 | + | 1.80025e7i | 0.574354 | + | 0.458032i | ||||
\(341\) | 1.22961e6 | + | 1.64081e7i | 0.0310103 | + | 0.413803i | ||||
\(342\) | 791230. | − | 381036.i | 0.0197799 | − | 0.00952550i | ||||
\(343\) | 1.91380e6i | 0.0474257i | ||||||||
\(344\) | 1.47095e8 | + | 2.03868e7i | 3.61346 | + | 0.500811i | ||||
\(345\) | −9.61017e6 | −0.234031 | ||||||||
\(346\) | 2.56143e7 | + | 5.31887e7i | 0.618379 | + | 1.28408i | ||||
\(347\) | 7.05664e6 | − | 528822.i | 0.168892 | − | 0.0126567i | 0.00998448 | − | 0.999950i | \(-0.496822\pi\) |
0.158908 | + | 0.987293i | \(0.449203\pi\) | |||||||
\(348\) | 8.47933e7 | − | 1.06327e8i | 2.01198 | − | 2.52295i | ||||
\(349\) | 1.24278e7 | + | 4.02898e7i | 0.292359 | + | 0.947805i | 0.975960 | + | 0.217949i | \(0.0699366\pi\) |
−0.683601 | + | 0.729856i | \(0.739587\pi\) | |||||||
\(350\) | 5.54299e7 | + | 9.60074e7i | 1.29283 | + | 2.23924i | ||||
\(351\) | −2.25195e7 | − | 1.30017e7i | −0.520760 | − | 0.300661i | ||||
\(352\) | −1.37946e8 | − | 3.14853e7i | −3.16287 | − | 0.721905i | ||||
\(353\) | −8.18231e7 | + | 1.23328e7i | −1.86017 | + | 0.280375i | −0.980690 | − | 0.195568i | \(-0.937345\pi\) |
−0.879476 | + | 0.475943i | \(0.842107\pi\) | |||||||
\(354\) | −1.08101e8 | + | 1.00303e8i | −2.43680 | + | 2.26102i | ||||
\(355\) | −6.01265e6 | − | 7.53962e6i | −0.134394 | − | 0.168525i | ||||
\(356\) | 2.57502e7 | − | 3.77686e7i | 0.570730 | − | 0.837107i | ||||
\(357\) | −4.89063e7 | − | 4.53784e7i | −1.07488 | − | 0.997344i | ||||
\(358\) | 1.08293e7 | − | 1.44507e8i | 0.236021 | − | 3.14949i | ||||
\(359\) | 6.87563e6 | + | 1.75188e7i | 0.148604 | + | 0.378636i | 0.985721 | − | 0.168388i | \(-0.0538561\pi\) |
−0.837117 | + | 0.547024i | \(0.815761\pi\) | |||||||
\(360\) | 104300. | + | 456968.i | 0.00223551 | + | 0.00979440i | ||||
\(361\) | −312105. | − | 96271.7i | −0.00663406 | − | 0.00204634i | ||||
\(362\) | −7.47793e6 | − | 1.09681e7i | −0.157636 | − | 0.231210i | ||||
\(363\) | −3.90997e6 | + | 2.59409e7i | −0.0817435 | + | 0.542333i | ||||
\(364\) | −1.08779e8 | − | 4.26926e7i | −2.25549 | − | 0.885215i | ||||
\(365\) | −2.00680e6 | − | 966426.i | −0.0412692 | − | 0.0198742i | ||||
\(366\) | −3.82673e7 | + | 7.94629e7i | −0.780521 | + | 1.62077i | ||||
\(367\) | −215541. | + | 549189.i | −0.00436045 | + | 0.0111102i | −0.933037 | − | 0.359779i | \(-0.882852\pi\) |
0.928677 | + | 0.370890i | \(0.120947\pi\) | |||||||
\(368\) | −1.99830e8 | − | 3.01195e7i | −4.00975 | − | 0.604373i | ||||
\(369\) | −30758.4 | + | 20970.7i | −0.000612188 | + | 0.000417383i | ||||
\(370\) | −1.02678e7 | + | 3.32874e7i | −0.202709 | + | 0.657166i | ||||
\(371\) | 1.11532e8 | − | 2.54565e7i | 2.18413 | − | 0.498513i | ||||
\(372\) | 8.47436e7 | − | 3.32594e7i | 1.64618 | − | 0.646079i | ||||
\(373\) | 2.44337e7 | + | 1.83105e6i | 0.470828 | + | 0.0352837i | 0.308032 | − | 0.951376i | \(-0.400330\pi\) |
0.162796 | + | 0.986660i | \(0.447949\pi\) | |||||||
\(374\) | −4.89995e7 | + | 5.28089e7i | −0.936648 | + | 1.00947i | ||||
\(375\) | −2.10011e7 | − | 1.43183e7i | −0.398243 | − | 0.271517i | ||||
\(376\) | 2.32031e8 | − | 1.85038e8i | 4.36498 | − | 3.48095i | ||||
\(377\) | −2.47529e7 | − | 2.66773e7i | −0.461958 | − | 0.497872i | ||||
\(378\) | 2.20437e7 | + | 1.46250e8i | 0.408140 | + | 2.70783i | ||||
\(379\) | 1.02511e7 | − | 4.49130e7i | 0.188301 | − | 0.825001i | −0.789211 | − | 0.614122i | \(-0.789510\pi\) |
0.977512 | − | 0.210879i | \(-0.0676326\pi\) | |||||||
\(380\) | 1.94483e7 | − | 3.36854e7i | 0.354430 | − | 0.613891i | ||||
\(381\) | −6.51840e6 | + | 3.76340e6i | −0.117860 | + | 0.0680465i | ||||
\(382\) | 2.26324e7 | − | 6.98116e6i | 0.406013 | − | 0.125238i | ||||
\(383\) | 3.13306e7 | + | 2.49853e7i | 0.557664 | + | 0.444722i | 0.861322 | − | 0.508059i | \(-0.169637\pi\) |
−0.303658 | + | 0.952781i | \(0.598208\pi\) | |||||||
\(384\) | 2.25065e7 | + | 3.00329e8i | 0.397480 | + | 5.30400i | ||||
\(385\) | 1.20168e7 | − | 5.78700e6i | 0.210575 | − | 0.101408i | ||||
\(386\) | − | 1.92417e8i | − | 3.34566i | ||||||
\(387\) | 627711. | − | 151139.i | 0.0108300 | − | 0.00260762i | ||||
\(388\) | −1.08945e8 | −1.86514 | ||||||||
\(389\) | −1.99685e7 | − | 4.14650e7i | −0.339232 | − | 0.704422i | 0.659656 | − | 0.751567i | \(-0.270702\pi\) |
−0.998888 | + | 0.0471457i | \(0.984987\pi\) | |||||||
\(390\) | 1.74656e7 | − | 1.30886e6i | 0.294435 | − | 0.0220649i | ||||
\(391\) | −3.64881e7 | + | 4.57546e7i | −0.610409 | + | 0.765428i | ||||
\(392\) | 6.25795e7 | + | 2.02878e8i | 1.03890 | + | 3.36803i | ||||
\(393\) | −2.28866e7 | − | 3.96408e7i | −0.377054 | − | 0.653077i | ||||
\(394\) | −3.92129e7 | − | 2.26396e7i | −0.641122 | − | 0.370152i | ||||
\(395\) | 2.20776e7 | + | 5.03906e6i | 0.358228 | + | 0.0817632i | ||||
\(396\) | −1.31779e6 | + | 198624.i | −0.0212207 | + | 0.00319851i | ||||
\(397\) | 2.38114e7 | − | 2.20937e7i | 0.380551 | − | 0.353099i | −0.466585 | − | 0.884477i | \(-0.654516\pi\) |
0.847135 | + | 0.531377i | \(0.178325\pi\) | |||||||
\(398\) | 1.16867e8 | + | 1.46547e8i | 1.85372 | + | 2.32449i | ||||
\(399\) | −5.06283e7 | + | 7.42580e7i | −0.797030 | + | 1.16903i | ||||
\(400\) | −1.89731e8 | − | 1.76045e8i | −2.96455 | − | 2.75070i | ||||
\(401\) | −6.35181e6 | + | 8.47590e7i | −0.0985063 | + | 1.31448i | 0.700716 | + | 0.713440i | \(0.252864\pi\) |
−0.799222 | + | 0.601035i | \(0.794755\pi\) | |||||||
\(402\) | 2.34565e7 | + | 5.97662e7i | 0.361065 | + | 0.919978i | ||||
\(403\) | −5.42078e6 | − | 2.37500e7i | −0.0828222 | − | 0.362868i | ||||
\(404\) | 1.84185e8 | + | 5.68134e7i | 2.79325 | + | 0.861602i | ||||
\(405\) | −9.35327e6 | − | 1.37187e7i | −0.140799 | − | 0.206514i | ||||
\(406\) | −3.08506e7 | + | 2.04680e8i | −0.460984 | + | 3.05843i | ||||
\(407\) | −5.99312e7 | − | 2.35213e7i | −0.888934 | − | 0.348881i | ||||
\(408\) | 2.33432e8 | + | 1.12415e8i | 3.43700 | + | 1.65517i | ||||
\(409\) | 3.78037e7 | − | 7.85001e7i | 0.552540 | − | 1.14736i | −0.418450 | − | 0.908240i | \(-0.637426\pi\) |
0.970990 | − | 0.239121i | \(-0.0768594\pi\) | |||||||
\(410\) | −813202. | + | 2.07200e6i | −0.0117990 | + | 0.0300635i | ||||
\(411\) | 4.16121e7 | + | 6.27202e6i | 0.599369 | + | 0.0903403i | ||||
\(412\) | −8.04928e7 | + | 5.48790e7i | −1.15097 | + | 0.784720i | ||||
\(413\) | 4.90067e7 | − | 1.58876e8i | 0.695673 | − | 2.25532i | ||||
\(414\) | −1.42485e6 | + | 325212.i | −0.0200802 | + | 0.00458317i | ||||
\(415\) | −8.31097e6 | + | 3.26182e6i | −0.116281 | + | 0.0456368i | ||||
\(416\) | 2.08900e8 | + | 1.56549e7i | 2.90174 | + | 0.217455i | ||||
\(417\) | −1.30986e7 | + | 1.41170e7i | −0.180642 | + | 0.194685i | ||||
\(418\) | 8.01836e7 | + | 5.46682e7i | 1.09788 | + | 0.748525i | ||||
\(419\) | −1.76942e7 | + | 1.41107e7i | −0.240541 | + | 0.191825i | −0.736339 | − | 0.676613i | \(-0.763447\pi\) |
0.495798 | + | 0.868438i | \(0.334876\pi\) | |||||||
\(420\) | −5.01929e7 | − | 5.40950e7i | −0.677476 | − | 0.730146i | ||||
\(421\) | 1.09065e7 | + | 7.23596e7i | 0.146163 | + | 0.969728i | 0.934878 | + | 0.354969i | \(0.115509\pi\) |
−0.788715 | + | 0.614759i | \(0.789253\pi\) | |||||||
\(422\) | 3.07563e7 | − | 1.34752e8i | 0.409257 | − | 1.79307i | ||||
\(423\) | 645162. | − | 1.11745e6i | 0.00852409 | − | 0.0147642i | ||||
\(424\) | −3.84749e8 | + | 2.22135e8i | −5.04755 | + | 2.91420i | ||||
\(425\) | −7.16226e7 | + | 2.20927e7i | −0.933004 | + | 0.287794i | ||||
\(426\) | −1.04079e8 | − | 8.29999e7i | −1.34627 | − | 1.07361i | ||||
\(427\) | −7.43102e6 | − | 9.91601e7i | −0.0954476 | − | 1.27366i | ||||
\(428\) | −1.63186e7 | + | 7.85863e6i | −0.208138 | + | 0.100234i | ||||
\(429\) | 3.23702e7i | 0.409990i | ||||||||
\(430\) | 2.59197e7 | − | 2.86091e7i | 0.326005 | − | 0.359831i | ||||
\(431\) | −5.50495e7 | −0.687577 | −0.343789 | − | 0.939047i | \(-0.611710\pi\) | ||||
−0.343789 | + | 0.939047i | \(0.611710\pi\) | |||||||
\(432\) | −1.49823e8 | − | 3.11110e8i | −1.85835 | − | 3.85890i | ||||
\(433\) | 3.35346e7 | − | 2.51307e6i | 0.413075 | − | 0.0309557i | 0.133428 | − | 0.991059i | \(-0.457401\pi\) |
0.279647 | + | 0.960103i | \(0.409782\pi\) | |||||||
\(434\) | −8.63907e7 | + | 1.08331e8i | −1.05681 | + | 1.32520i | ||||
\(435\) | −6.77387e6 | − | 2.19604e7i | −0.0822942 | − | 0.266791i | ||||
\(436\) | 1.03370e7 | + | 1.79042e7i | 0.124720 | + | 0.216021i | ||||
\(437\) | 6.82747e7 | + | 3.94184e7i | 0.818117 | + | 0.472340i | ||||
\(438\) | −2.99764e7 | − | 6.84191e6i | −0.356744 | − | 0.0814245i | ||||
\(439\) | 8.02848e7 | − | 1.21010e7i | 0.948942 | − | 0.143030i | 0.343707 | − | 0.939077i | \(-0.388317\pi\) |
0.605235 | + | 0.796047i | \(0.293079\pi\) | |||||||
\(440\) | −3.79695e7 | + | 3.52305e7i | −0.445735 | + | 0.413581i | ||||
\(441\) | 575528. | + | 721689.i | 0.00671044 | + | 0.00841462i | ||||
\(442\) | 6.00821e7 | − | 8.81243e7i | 0.695790 | − | 1.02054i | ||||
\(443\) | −4.86389e6 | − | 4.51303e6i | −0.0559465 | − | 0.0519108i | 0.651704 | − | 0.758473i | \(-0.274054\pi\) |
−0.707651 | + | 0.706563i | \(0.750245\pi\) | |||||||
\(444\) | −2.66195e7 | + | 3.55213e8i | −0.304125 | + | 4.05826i | ||||
\(445\) | −2.82207e6 | − | 7.19051e6i | −0.0320249 | − | 0.0815980i | ||||
\(446\) | 9.07706e6 | + | 3.97692e7i | 0.102315 | + | 0.448273i | ||||
\(447\) | 3.57841e7 | + | 1.10379e7i | 0.400653 | + | 0.123585i | ||||
\(448\) | −3.65283e8 | − | 5.35772e8i | −4.06252 | − | 5.95863i | ||||
\(449\) | 6.48249e6 | − | 4.30085e7i | 0.0716148 | − | 0.475133i | −0.924062 | − | 0.382244i | \(-0.875152\pi\) |
0.995676 | − | 0.0928896i | \(-0.0296104\pi\) | |||||||
\(450\) | −1.74241e6 | − | 683847.i | −0.0191211 | − | 0.00750450i | ||||
\(451\) | −3.70642e6 | − | 1.78492e6i | −0.0404041 | − | 0.0194576i | ||||
\(452\) | −6.22167e7 | + | 1.29194e8i | −0.673739 | + | 1.39903i | ||||
\(453\) | −3.45421e7 | + | 8.80120e7i | −0.371582 | + | 0.946776i | ||||
\(454\) | 2.57216e8 | + | 3.87690e7i | 2.74872 | + | 0.414302i | ||||
\(455\) | −1.63156e7 | + | 1.11238e7i | −0.173208 | + | 0.118092i | ||||
\(456\) | 1.02877e8 | − | 3.33520e8i | 1.08499 | − | 3.51744i | ||||
\(457\) | 1.33482e8 | − | 3.04664e7i | 1.39854 | − | 0.319207i | 0.544214 | − | 0.838947i | \(-0.316828\pi\) |
0.854325 | + | 0.519739i | \(0.173971\pi\) | |||||||
\(458\) | 2.39127e8 | − | 9.38504e7i | 2.48904 | − | 0.976877i | ||||
\(459\) | −9.97175e7 | − | 7.47279e6i | −1.03118 | − | 0.0772760i | ||||
\(460\) | −4.40284e7 | + | 4.74514e7i | −0.452335 | + | 0.487501i | ||||
\(461\) | 6.29766e7 | + | 4.29367e7i | 0.642801 | + | 0.438254i | 0.840354 | − | 0.542038i | \(-0.182347\pi\) |
−0.197553 | + | 0.980292i | \(0.563299\pi\) | |||||||
\(462\) | 1.43948e8 | − | 1.14794e8i | 1.45975 | − | 1.16411i | ||||
\(463\) | −1.04999e8 | − | 1.13162e8i | −1.05789 | − | 1.14014i | −0.989801 | − | 0.142458i | \(-0.954500\pi\) |
−0.0680913 | − | 0.997679i | \(-0.521691\pi\) | |||||||
\(464\) | −7.20266e7 | − | 4.77865e8i | −0.721006 | − | 4.78356i | ||||
\(465\) | 3.42318e6 | − | 1.49979e7i | 0.0340464 | − | 0.149167i | ||||
\(466\) | 6.81005e7 | − | 1.17954e8i | 0.672965 | − | 1.16561i | ||||
\(467\) | 1.49221e8 | − | 8.61530e7i | 1.46514 | − | 0.845901i | 0.465903 | − | 0.884836i | \(-0.345730\pi\) |
0.999242 | + | 0.0389346i | \(0.0123964\pi\) | |||||||
\(468\) | 1.88541e6 | − | 581570.i | 0.0183936 | − | 0.00567368i | ||||
\(469\) | −5.65948e7 | − | 4.51328e7i | −0.548602 | − | 0.437496i | ||||
\(470\) | −5.76549e6 | − | 7.69351e7i | −0.0555319 | − | 0.741022i | ||||
\(471\) | −2.08441e7 | + | 1.00380e7i | −0.199489 | + | 0.0960689i | ||||
\(472\) | 6.45674e8i | 6.14027i | ||||||||
\(473\) | 4.91472e7 | + | 5.17218e7i | 0.464425 | + | 0.488754i | ||||
\(474\) | 3.12601e8 | 2.93532 | ||||||||
\(475\) | 4.38094e7 | + | 9.09712e7i | 0.408777 | + | 0.848834i | ||||
\(476\) | −4.48123e8 | + | 3.35822e7i | −4.15505 | + | 0.311378i | ||||
\(477\) | −1.20432e6 | + | 1.51017e6i | −0.0110966 | + | 0.0139146i | ||||
\(478\) | −1.88240e6 | − | 6.10260e6i | −0.0172357 | − | 0.0558768i | ||||
\(479\) | 3.21199e7 | + | 5.56334e7i | 0.292259 | + | 0.506208i | 0.974344 | − | 0.225066i | \(-0.0722596\pi\) |
−0.682084 | + | 0.731274i | \(0.738926\pi\) | |||||||
\(480\) | 1.14565e8 | + | 6.61444e7i | 1.03593 | + | 0.598094i | ||||
\(481\) | 9.29292e7 | + | 2.12105e7i | 0.835059 | + | 0.190597i | ||||
\(482\) | −2.61666e8 | + | 3.94398e7i | −2.33671 | + | 0.352203i | ||||
\(483\) | 1.09642e8 | − | 1.01733e8i | 0.973048 | − | 0.902857i | ||||
\(484\) | 1.10173e8 | + | 1.38153e8i | 0.971717 | + | 1.21850i | ||||
\(485\) | −1.03706e7 | + | 1.52109e7i | −0.0909032 | + | 0.133330i | ||||
\(486\) | −3.68185e6 | − | 3.41625e6i | −0.0320743 | − | 0.0297606i | ||||
\(487\) | 1.47184e6 | − | 1.96404e7i | 0.0127431 | − | 0.170044i | −0.987201 | − | 0.159480i | \(-0.949018\pi\) |
0.999944 | − | 0.0105643i | \(-0.00336277\pi\) | |||||||
\(488\) | 1.41082e8 | + | 3.59471e8i | 1.21398 | + | 3.09317i | ||||
\(489\) | −2.35250e7 | − | 1.03070e8i | −0.201189 | − | 0.881465i | ||||
\(490\) | 5.27403e7 | + | 1.62682e7i | 0.448285 | + | 0.138278i | ||||
\(491\) | 3.87782e7 | + | 5.68772e7i | 0.327600 | + | 0.480501i | 0.954338 | − | 0.298729i | \(-0.0965628\pi\) |
−0.626738 | + | 0.779230i | \(0.715610\pi\) | |||||||
\(492\) | −3.39233e6 | + | 2.25066e7i | −0.0284841 | + | 0.188980i | ||||
\(493\) | −1.30274e8 | − | 5.11287e7i | −1.08722 | − | 0.426701i | ||||
\(494\) | −1.29452e8 | − | 6.23406e7i | −1.07381 | − | 0.517119i | ||||
\(495\) | −97710.2 | + | 202897.i | −0.000805609 | + | 0.00167286i | ||||
\(496\) | 1.18186e8 | − | 3.01133e8i | 0.968547 | − | 2.46782i | ||||
\(497\) | 1.48412e8 | + | 2.23695e7i | 1.20892 | + | 0.182216i | ||||
\(498\) | −1.01831e8 | + | 6.94269e7i | −0.824499 | + | 0.562134i | ||||
\(499\) | −3.05496e7 | + | 9.90393e7i | −0.245869 | + | 0.797087i | 0.745560 | + | 0.666439i | \(0.232182\pi\) |
−0.991429 | + | 0.130649i | \(0.958294\pi\) | |||||||
\(500\) | −1.66914e8 | + | 3.80969e7i | −1.33531 | + | 0.304776i | ||||
\(501\) | −7.99968e7 | + | 3.13964e7i | −0.636150 | + | 0.249670i | ||||
\(502\) | −4.74519e8 | − | 3.55603e7i | −3.75096 | − | 0.281096i | ||||
\(503\) | −1.04809e8 | + | 1.12958e8i | −0.823561 | + | 0.887588i | −0.995229 | − | 0.0975669i | \(-0.968894\pi\) |
0.171668 | + | 0.985155i | \(0.445084\pi\) | |||||||
\(504\) | −6.02738e6 | − | 4.10940e6i | −0.0470800 | − | 0.0320986i | ||||
\(505\) | 2.54651e7 | − | 2.03078e7i | 0.197730 | − | 0.157684i | ||||
\(506\) | −1.09851e8 | − | 1.18391e8i | −0.847911 | − | 0.913831i | ||||
\(507\) | 1.23888e7 | + | 8.21942e7i | 0.0950616 | + | 0.630692i | ||||
\(508\) | −1.12814e7 | + | 4.94272e7i | −0.0860545 | + | 0.377029i | ||||
\(509\) | −1.06401e8 | + | 1.84293e8i | −0.806852 | + | 1.39751i | 0.108182 | + | 0.994131i | \(0.465497\pi\) |
−0.915034 | + | 0.403377i | \(0.867836\pi\) | |||||||
\(510\) | 5.83296e7 | − | 3.36766e7i | 0.439722 | − | 0.253874i | ||||
\(511\) | 3.31260e7 | − | 1.02180e7i | 0.248260 | − | 0.0765780i | ||||
\(512\) | 5.26036e8 | + | 4.19500e8i | 3.91927 | + | 3.12552i | ||||
\(513\) | 1.00668e7 | + | 1.34332e8i | 0.0745656 | + | 0.995009i | ||||
\(514\) | 3.51530e8 | − | 1.69288e8i | 2.58865 | − | 1.24663i | ||||
\(515\) | 1.64624e7i | 0.120524i | ||||||||
\(516\) | 1.93302e8 | − | 3.44188e8i | 1.40698 | − | 2.50523i | ||||
\(517\) | 1.42589e8 | 1.03184 | ||||||||
\(518\) | −2.35234e8 | − | 4.88468e8i | −1.69243 | − | 3.51437i | ||||
\(519\) | 1.01724e8 | − | 7.62319e6i | 0.727651 | − | 0.0545299i | ||||
\(520\) | 4.78131e7 | − | 5.99557e7i | 0.340045 | − | 0.426403i | ||||
\(521\) | 2.35230e7 | + | 7.62598e7i | 0.166334 | + | 0.539240i | 0.999913 | − | 0.0131587i | \(-0.00418866\pi\) |
−0.833580 | + | 0.552399i | \(0.813712\pi\) | |||||||
\(522\) | −1.74747e6 | − | 3.02671e6i | −0.0122857 | − | 0.0212794i | ||||
\(523\) | −1.84596e8 | − | 1.06576e8i | −1.29038 | − | 0.744999i | −0.311656 | − | 0.950195i | \(-0.600884\pi\) |
−0.978721 | + | 0.205196i | \(0.934217\pi\) | |||||||
\(524\) | −3.00585e8 | − | 6.86065e7i | −2.08917 | − | 0.476839i | ||||
\(525\) | 1.89421e8 | − | 2.85506e7i | 1.30903 | − | 0.197305i | ||||
\(526\) | 7.03503e7 | − | 6.52755e7i | 0.483402 | − | 0.448532i | ||||
\(527\) | −5.84089e7 | − | 7.32425e7i | −0.399068 | − | 0.500416i | ||||
\(528\) | −2.42145e8 | + | 3.55162e8i | −1.64503 | + | 2.41282i | ||||
\(529\) | 1.23419e7 | + | 1.14516e7i | 0.0833712 | + | 0.0773572i | ||||
\(530\) | −8.63080e6 | + | 1.15170e8i | −0.0579727 | + | 0.773591i | ||||
\(531\) | 1.02560e6 | + | 2.61319e6i | 0.00685007 | + | 0.0174537i | ||||
\(532\) | 1.34708e8 | + | 5.90192e8i | 0.894658 | + | 3.91975i | ||||
\(533\) | 5.82005e6 | + | 1.79525e6i | 0.0384366 | + | 0.0118561i | ||||
\(534\) | −6.00669e7 | − | 8.81020e7i | −0.394468 | − | 0.578578i | ||||
\(535\) | −456170. | + | 3.02649e6i | −0.00297896 | + | 0.0197641i | ||||
\(536\) | 2.61682e8 | + | 1.02703e8i | 1.69934 | + | 0.666940i | ||||
\(537\) | −2.25604e8 | − | 1.08645e8i | −1.45688 | − | 0.701596i | ||||
\(538\) | −4.09621e7 | + | 8.50586e7i | −0.263048 | + | 0.546225i | ||||
\(539\) | −3.72668e7 | + | 9.49544e7i | −0.237989 | + | 0.606385i | ||||
\(540\) | −1.09371e8 | − | 1.64850e7i | −0.694577 | − | 0.104691i | ||||
\(541\) | 9.61459e7 | − | 6.55512e7i | 0.607210 | − | 0.413989i | −0.220306 | − | 0.975431i | \(-0.570706\pi\) |
0.827516 | + | 0.561442i | \(0.189753\pi\) | |||||||
\(542\) | 1.36908e8 | − | 4.43844e8i | 0.859865 | − | 2.78761i | ||||
\(543\) | −2.23630e7 | + | 5.10421e6i | −0.139679 | + | 0.0318808i | ||||
\(544\) | 7.49902e8 | − | 2.94315e8i | 4.65809 | − | 1.82816i | ||||
\(545\) | 3.48379e6 | + | 261074.i | 0.0215210 | + | 0.00161277i | ||||
\(546\) | −1.85408e8 | + | 1.99822e8i | −1.13907 | + | 1.22763i | ||||
\(547\) | −2.30738e8 | − | 1.57314e8i | −1.40980 | − | 0.961183i | −0.998771 | − | 0.0495587i | \(-0.984219\pi\) |
−0.411025 | − | 0.911624i | \(-0.634829\pi\) | |||||||
\(548\) | 2.21612e8 | − | 1.76730e8i | 1.34664 | − | 1.07391i | ||||
\(549\) | 1.14198e6 | + | 1.23076e6i | 0.00690147 | + | 0.00743802i | ||||
\(550\) | −3.08288e7 | − | 2.04536e8i | −0.185297 | − | 1.22937i | ||||
\(551\) | −4.19512e7 | + | 1.83800e8i | −0.250778 | + | 1.09873i | ||||
\(552\) | −2.90423e8 | + | 5.03027e8i | −1.72669 | + | 2.99071i | ||||
\(553\) | −3.05224e8 | + | 1.76221e8i | −1.80486 | + | 1.04204i | ||||
\(554\) | −1.64277e8 | + | 5.06726e7i | −0.966154 | + | 0.298019i | ||||
\(555\) | 4.70610e7 | + | 3.75299e7i | 0.275285 | + | 0.219532i | ||||
\(556\) | 9.69360e6 | + | 1.29352e8i | 0.0563976 | + | 0.752574i | ||||
\(557\) | 2.72635e8 | − | 1.31294e8i | 1.57767 | − | 0.759767i | 0.579208 | − | 0.815180i | \(-0.303362\pi\) |
0.998464 | + | 0.0554132i | \(0.0176476\pi\) | |||||||
\(558\) | − | 2.33951e6i | − | 0.0134655i | ||||||
\(559\) | −8.33643e7 | − | 6.48756e7i | −0.477249 | − | 0.371403i | ||||
\(560\) | −2.62225e8 | −1.49317 | ||||||||
\(561\) | 5.40104e7 | + | 1.12154e8i | 0.305906 | + | 0.635221i | ||||
\(562\) | 1.02169e8 | − | 7.65651e6i | 0.575586 | − | 0.0431342i | ||||
\(563\) | −2.42037e7 | + | 3.03505e7i | −0.135630 | + | 0.170075i | −0.845008 | − | 0.534753i | \(-0.820405\pi\) |
0.709378 | + | 0.704828i | \(0.248976\pi\) | |||||||
\(564\) | −2.32536e8 | − | 7.53863e8i | −1.29614 | − | 4.20199i | ||||
\(565\) | 1.21157e7 | + | 2.09849e7i | 0.0671741 | + | 0.116349i | ||||
\(566\) | −3.38316e8 | − | 1.95327e8i | −1.86584 | − | 1.07724i | ||||
\(567\) | 2.51936e8 | + | 5.75028e7i | 1.38211 | + | 0.315457i | ||||
\(568\) | −5.76353e8 | + | 8.68712e7i | −3.14516 | + | 0.474057i | ||||
\(569\) | −4.64581e7 | + | 4.31068e7i | −0.252188 | + | 0.233996i | −0.796129 | − | 0.605127i | \(-0.793122\pi\) |
0.543941 | + | 0.839124i | \(0.316932\pi\) | |||||||
\(570\) | −5.65712e7 | − | 7.09380e7i | −0.305471 | − | 0.383049i | ||||
\(571\) | −1.43239e8 | + | 2.10093e8i | −0.769401 | + | 1.12850i | 0.218864 | + | 0.975755i | \(0.429765\pi\) |
−0.988265 | + | 0.152749i | \(0.951188\pi\) | |||||||
\(572\) | 1.59832e8 | + | 1.48302e8i | 0.854033 | + | 0.792427i | ||||
\(573\) | 3.05839e6 | − | 4.08114e7i | 0.0162566 | − | 0.216929i | ||||
\(574\) | −1.26563e7 | − | 3.22478e7i | −0.0669226 | − | 0.170516i | ||||
\(575\) | −3.73911e7 | − | 1.63821e8i | −0.196682 | − | 0.861720i | ||||
\(576\) | 1.04622e7 | + | 3.22718e6i | 0.0547466 | + | 0.0168871i | ||||
\(577\) | 3.85505e7 | + | 5.65431e7i | 0.200679 | + | 0.294342i | 0.913365 | − | 0.407141i | \(-0.133474\pi\) |
−0.712686 | + | 0.701483i | \(0.752522\pi\) | |||||||
\(578\) | 4.60551e6 | − | 3.05556e7i | 0.0238503 | − | 0.158236i | ||||
\(579\) | −3.09504e8 | − | 1.21471e8i | −1.59452 | − | 0.625804i | ||||
\(580\) | −1.39466e8 | − | 6.71633e7i | −0.714800 | − | 0.344230i | ||||
\(581\) | 6.02898e7 | − | 1.25193e8i | 0.307408 | − | 0.638340i | ||||
\(582\) | −9.28451e7 | + | 2.36566e8i | −0.470967 | + | 1.20000i | ||||
\(583\) | −2.11068e8 | − | 3.18134e7i | −1.06517 | − | 0.160548i | ||||
\(584\) | −1.11232e8 | + | 7.58368e7i | −0.558460 | + | 0.380752i | ||||
\(585\) | 98275.6 | − | 318602.i | 0.000490883 | − | 0.00159140i | ||||
\(586\) | 5.29888e7 | − | 1.20943e7i | 0.263324 | − | 0.0601020i | ||||
\(587\) | −2.75013e6 | + | 1.07935e6i | −0.0135969 | + | 0.00533638i | −0.372130 | − | 0.928181i | \(-0.621372\pi\) |
0.358533 | + | 0.933517i | \(0.383277\pi\) | |||||||
\(588\) | 5.62796e8 | + | 4.21757e7i | 2.76834 | + | 0.207458i | ||||
\(589\) | −8.58374e7 | + | 9.25108e7i | −0.420079 | + | 0.452737i | ||||
\(590\) | 1.38684e8 | + | 9.45533e7i | 0.675260 | + | 0.460385i | ||||
\(591\) | −6.11707e7 | + | 4.87820e7i | −0.296334 | + | 0.236318i | ||||
\(592\) | 8.60945e8 | + | 9.27878e8i | 4.14964 | + | 4.47225i | ||||
\(593\) | 4.51472e7 | + | 2.99532e8i | 0.216505 | + | 1.43641i | 0.787932 | + | 0.615762i | \(0.211152\pi\) |
−0.571428 | + | 0.820652i | \(0.693610\pi\) | |||||||
\(594\) | 6.14072e7 | − | 2.69043e8i | 0.292995 | − | 1.28369i | ||||
\(595\) | −3.79688e7 | + | 6.57638e7i | −0.180250 | + | 0.312202i | ||||
\(596\) | 2.18444e8 | − | 1.26119e8i | 1.03181 | − | 0.595719i | ||||
\(597\) | 3.09499e8 | − | 9.54678e7i | 1.45458 | − | 0.448677i | ||||
\(598\) | 1.86945e8 | + | 1.49084e8i | 0.874199 | + | 0.697150i | ||||
\(599\) | −2.77251e7 | − | 3.69966e8i | −0.129001 | − | 1.72140i | −0.568100 | − | 0.822960i | \(-0.692321\pi\) |
0.439099 | − | 0.898439i | \(-0.355298\pi\) | |||||||
\(600\) | −6.70248e8 | + | 3.22774e8i | −3.10300 | + | 1.49433i | ||||
\(601\) | − | 1.00593e8i | − | 0.463388i | −0.972789 | − | 0.231694i | \(-0.925573\pi\) | ||
0.972789 | − | 0.231694i | \(-0.0744268\pi\) | |||||||
\(602\) | 7.13832e6 | + | 6.00784e8i | 0.0327195 | + | 2.75378i | ||||
\(603\) | 1.22222e6 | 0.00557439 | ||||||||
\(604\) | 2.76317e8 | + | 5.73778e8i | 1.25400 | + | 2.60395i | ||||
\(605\) | 2.97765e7 | − | 2.23144e6i | 0.134465 | − | 0.0100767i | ||||
\(606\) | 2.80333e8 | − | 3.51526e8i | 1.25967 | − | 1.57957i | ||||
\(607\) | 3.53254e7 | + | 1.14522e8i | 0.157950 | + | 0.512063i | 0.999609 | − | 0.0279467i | \(-0.00889687\pi\) |
−0.841659 | + | 0.540009i | \(0.818421\pi\) | |||||||
\(608\) | −5.42614e8 | − | 9.39836e8i | −2.41424 | − | 4.18159i | ||||
\(609\) | 3.09753e8 | + | 1.78836e8i | 1.37140 | + | 0.791778i | ||||
\(610\) | 9.78709e7 | + | 2.23384e7i | 0.431185 | + | 0.0984152i | ||||
\(611\) | −2.08750e8 | + | 3.14639e7i | −0.915171 | + | 0.137940i | ||||
\(612\) | 5.56204e6 | − | 5.16082e6i | 0.0242650 | − | 0.0225146i | ||||
\(613\) | 1.08339e8 | + | 1.35852e8i | 0.470330 | + | 0.589775i | 0.959252 | − | 0.282553i | \(-0.0911812\pi\) |
−0.488922 | + | 0.872327i | \(0.662610\pi\) | |||||||
\(614\) | 2.15039e8 | − | 3.15404e8i | 0.928992 | − | 1.36258i | ||||
\(615\) | 2.81946e6 | + | 2.61608e6i | 0.0121211 | + | 0.0112467i | ||||
\(616\) | 6.02428e7 | − | 8.03885e8i | 0.257729 | − | 3.43915i | ||||
\(617\) | −3.34763e7 | − | 8.52963e7i | −0.142522 | − | 0.363141i | 0.841733 | − | 0.539894i | \(-0.181536\pi\) |
−0.984255 | + | 0.176753i | \(0.943440\pi\) | |||||||
\(618\) | 5.05681e7 | + | 2.21553e8i | 0.214245 | + | 0.938670i | ||||
\(619\) | 2.50462e8 | + | 7.72572e7i | 1.05601 | + | 0.325737i | 0.773678 | − | 0.633579i | \(-0.218415\pi\) |
0.282335 | + | 0.959316i | \(0.408891\pi\) | |||||||
\(620\) | −5.83711e7 | − | 8.56146e7i | −0.244919 | − | 0.359230i | ||||
\(621\) | 3.34124e7 | − | 2.21677e8i | 0.139519 | − | 0.925647i | ||||
\(622\) | −1.14507e8 | − | 4.49408e7i | −0.475841 | − | 0.186754i | ||||
\(623\) | 1.08315e8 | + | 5.21617e7i | 0.447945 | + | 0.215719i | ||||
\(624\) | 2.76129e8 | − | 5.73388e8i | 1.13647 | − | 2.35991i | ||||
\(625\) | 7.31735e7 | − | 1.86443e8i | 0.299719 | − | 0.763671i | ||||
\(626\) | −2.01614e8 | − | 3.03885e7i | −0.821861 | − | 0.123876i | ||||
\(627\) | 1.38553e8 | − | 9.44640e7i | 0.562101 | − | 0.383234i | ||||
\(628\) | −4.59322e7 | + | 1.48908e8i | −0.185455 | + | 0.601229i | ||||
\(629\) | 3.57364e8 | − | 8.15661e7i | 1.43602 | − | 0.327761i | ||||
\(630\) | −1.76531e6 | + | 692834.i | −0.00705992 | + | 0.00277082i | ||||
\(631\) | −3.27156e8 | − | 2.45170e7i | −1.30217 | − | 0.0975841i | −0.594481 | − | 0.804109i | \(-0.702643\pi\) |
−0.707688 | + | 0.706525i | \(0.750262\pi\) | |||||||
\(632\) | 9.30952e8 | − | 1.00333e9i | 3.68788 | − | 3.97458i | ||||
\(633\) | −1.97333e8 | − | 1.34539e8i | −0.778016 | − | 0.530442i | ||||
\(634\) | −4.54530e8 | + | 3.62476e8i | −1.78359 | + | 1.42237i | ||||
\(635\) | 5.82715e6 | + | 6.28017e6i | 0.0227580 | + | 0.0245273i | ||||
\(636\) | 1.76016e8 | + | 1.16779e9i | 0.684198 | + | 4.53936i | ||||
\(637\) | 3.36057e7 | − | 1.47236e8i | 0.130015 | − | 0.569634i | ||||
\(638\) | 1.93107e8 | − | 3.34471e8i | 0.743593 | − | 1.28794i | ||||
\(639\) | −2.19464e6 | + | 1.26708e6i | −0.00841126 | + | 0.00485624i | ||||
\(640\) | 3.27569e8 | − | 1.01042e8i | 1.24958 | − | 0.385444i | ||||
\(641\) | 2.05834e8 | + | 1.64147e8i | 0.781524 | + | 0.623245i | 0.930791 | − | 0.365552i | \(-0.119120\pi\) |
−0.149267 | + | 0.988797i | \(0.547691\pi\) | |||||||
\(642\) | 3.15736e6 | + | 4.21320e7i | 0.0119322 | + | 0.159224i | ||||
\(643\) | −2.36039e8 | + | 1.13670e8i | −0.887872 | + | 0.427577i | −0.821493 | − | 0.570218i | \(-0.806859\pi\) |
−0.0663784 | + | 0.997795i | \(0.521144\pi\) | |||||||
\(644\) | − | 1.00745e9i | − | 3.77195i | ||||||
\(645\) | −2.96550e7 | − | 5.97527e7i | −0.110514 | − | 0.222678i | ||||
\(646\) | −5.52531e8 | −2.04955 | ||||||||
\(647\) | 9.32985e7 | + | 1.93736e8i | 0.344478 | + | 0.715317i | 0.999177 | − | 0.0405737i | \(-0.0129185\pi\) |
−0.654698 | + | 0.755890i | \(0.727204\pi\) | |||||||
\(648\) | −1.00074e9 | + | 7.49952e7i | −3.67788 | + | 0.275619i | ||||
\(649\) | −1.93418e8 | + | 2.42538e8i | −0.707559 | + | 0.887250i | ||||
\(650\) | 9.02665e7 | + | 2.92637e8i | 0.328690 | + | 1.06559i | ||||
\(651\) | 1.19712e8 | + | 2.07348e8i | 0.433907 | + | 0.751548i | ||||
\(652\) | −6.16699e8 | − | 3.56051e8i | −2.22500 | − | 1.28460i | ||||
\(653\) | −2.88615e8 | − | 6.58745e7i | −1.03652 | − | 0.236580i | −0.329786 | − | 0.944056i | \(-0.606977\pi\) |
−0.706737 | + | 0.707476i | \(0.749834\pi\) | |||||||
\(654\) | 4.76871e7 | − | 7.18768e6i | 0.170478 | − | 0.0256954i | ||||
\(655\) | −3.81920e7 | + | 3.54370e7i | −0.135909 | + | 0.126105i | ||||
\(656\) | 5.04276e7 | + | 6.32343e7i | 0.178631 | + | 0.223996i | ||||
\(657\) | −329721. | + | 483612.i | −0.00116265 | + | 0.00170530i | ||||
\(658\) | 8.80208e8 | + | 8.16713e8i | 3.08964 | + | 2.86676i | ||||
\(659\) | −1.05229e7 | + | 1.40418e8i | −0.0367686 | + | 0.490643i | 0.948173 | + | 0.317755i | \(0.102929\pi\) |
−0.984941 | + | 0.172888i | \(0.944690\pi\) | |||||||
\(660\) | 5.03031e7 | + | 1.28170e8i | 0.174970 | + | 0.445815i | ||||
\(661\) | −4.29887e7 | − | 1.88346e8i | −0.148850 | − | 0.652155i | −0.993206 | − | 0.116372i | \(-0.962874\pi\) |
0.844355 | − | 0.535783i | \(-0.179984\pi\) | |||||||
\(662\) | −6.62763e8 | − | 2.04435e8i | −2.28446 | − | 0.704664i | ||||
\(663\) | −1.03819e8 | − | 1.52274e8i | −0.356235 | − | 0.522500i | ||||
\(664\) | −8.04267e7 | + | 5.33596e8i | −0.274724 | + | 1.82267i | ||||
\(665\) | 9.52259e7 | + | 3.73734e7i | 0.323810 | + | 0.127086i | ||||
\(666\) | 8.24751e6 | + | 3.97179e6i | 0.0279190 | + | 0.0134451i | ||||
\(667\) | 1.36129e8 | − | 2.82675e8i | 0.458746 | − | 0.952597i | ||||
\(668\) | −2.11477e8 | + | 5.38835e8i | −0.709470 | + | 1.80770i | ||||
\(669\) | 6.96992e7 | + | 1.05055e7i | 0.232782 | + | 0.0350863i | ||||
\(670\) | 6.03805e7 | − | 4.11667e7i | 0.200758 | − | 0.136874i | ||||
\(671\) | −5.46875e7 | + | 1.77292e8i | −0.181017 | + | 0.586844i | ||||
\(672\) | −2.00727e9 | + | 4.58146e8i | −6.61451 | + | 1.50972i | ||||
\(673\) | −3.20323e8 | + | 1.25718e8i | −1.05086 | + | 0.412431i | −0.827006 | − | 0.562193i | \(-0.809958\pi\) |
−0.223850 | + | 0.974624i | \(0.571863\pi\) | |||||||
\(674\) | 3.16367e8 | + | 2.37085e7i | 1.03327 | + | 0.0774326i | ||||
\(675\) | 1.95291e8 | − | 2.10474e8i | 0.634996 | − | 0.684362i | ||||
\(676\) | 4.62603e8 | + | 3.15397e8i | 1.49750 | + | 1.02098i | ||||
\(677\) | −1.68155e8 | + | 1.34099e8i | −0.541929 | + | 0.432174i | −0.855812 | − | 0.517288i | \(-0.826942\pi\) |
0.313882 | + | 0.949462i | \(0.398370\pi\) | |||||||
\(678\) | 2.27514e8 | + | 2.45202e8i | 0.729993 | + | 0.786745i | ||||
\(679\) | −4.27040e7 | − | 2.83322e8i | −0.136414 | − | 0.905048i | ||||
\(680\) | 6.56217e7 | − | 2.87507e8i | 0.208699 | − | 0.914370i | ||||
\(681\) | 2.24738e8 | − | 3.89258e8i | 0.711599 | − | 1.23253i | ||||
\(682\) | 2.23894e8 | − | 1.29265e8i | 0.705811 | − | 0.407500i | ||||
\(683\) | −1.34141e8 | + | 4.13771e7i | −0.421018 | + | 0.129867i | −0.498023 | − | 0.867164i | \(-0.665940\pi\) |
0.0770052 | + | 0.997031i | \(0.475464\pi\) | |||||||
\(684\) | −7.99136e6 | − | 6.37290e6i | −0.0249719 | − | 0.0199145i | ||||
\(685\) | −3.57948e6 | − | 4.77648e7i | −0.0111365 | − | 0.148606i | ||||
\(686\) | 2.70922e7 | − | 1.30469e7i | 0.0839212 | − | 0.0404143i | ||||
\(687\) | − | 4.43884e8i | − | 1.36899i | ||||||
\(688\) | −4.29362e8 | − | 1.33542e9i | −1.31843 | − | 4.10064i | ||||
\(689\) | 3.16023e8 | 0.966186 | ||||||||
\(690\) | 6.55152e7 | + | 1.36044e8i | 0.199432 | + | 0.414125i | ||||
\(691\) | 3.01477e8 | − | 2.25926e7i | 0.913735 | − | 0.0684750i | 0.390442 | − | 0.920628i | \(-0.372322\pi\) |
0.523293 | + | 0.852153i | \(0.324703\pi\) | |||||||
\(692\) | 4.28404e8 | − | 5.37202e8i | 1.29281 | − | 1.62114i | ||||
\(693\) | −1.03309e6 | − | 3.34919e6i | −0.00310412 | − | 0.0100633i | ||||
\(694\) | −5.55933e7 | − | 9.62903e7i | −0.166320 | − | 0.288074i | ||||
\(695\) | 1.89829e7 | + | 1.09598e7i | 0.0565469 | + | 0.0326474i | ||||
\(696\) | −1.35418e9 | − | 3.09084e8i | −4.01652 | − | 0.916745i | ||||
\(697\) | 2.31603e7 | − | 3.49085e6i | 0.0683983 | − | 0.0103094i | ||||
\(698\) | 4.85628e8 | − | 4.50597e8i | 1.42803 | − | 1.32502i | ||||
\(699\) | −1.46738e8 | − | 1.84003e8i | −0.429645 | − | 0.538758i | ||||
\(700\) | 7.26849e8 | − | 1.06609e9i | 2.11909 | − | 3.10814i | ||||
\(701\) | −6.86473e7 | − | 6.36954e7i | −0.199283 | − | 0.184907i | 0.574219 | − | 0.818702i | \(-0.305306\pi\) |
−0.773501 | + | 0.633795i | \(0.781496\pi\) | |||||||
\(702\) | −3.05325e7 | + | 4.07427e8i | −0.0882573 | + | 1.17771i | ||||
\(703\) | −1.80403e8 | − | 4.59660e8i | −0.519253 | − | 1.32303i | ||||
\(704\) | 2.69227e8 | + | 1.17956e9i | 0.771616 | + | 3.38067i | ||||
\(705\) | −1.27390e8 | − | 3.92947e7i | −0.363554 | − | 0.112141i | ||||
\(706\) | 7.32398e8 | + | 1.07423e9i | 2.08129 | + | 3.05269i | ||||
\(707\) | −7.55531e7 | + | 5.01262e8i | −0.213793 | + | 1.41843i | ||||
\(708\) | 1.59772e9 | + | 6.27059e8i | 4.50195 | + | 1.76689i | ||||
\(709\) | 3.81874e8 | + | 1.83901e8i | 1.07147 | + | 0.515995i | 0.884582 | − | 0.466385i | \(-0.154444\pi\) |
0.186893 | + | 0.982380i | \(0.440158\pi\) | |||||||
\(710\) | −6.57427e7 | + | 1.36516e8i | −0.183685 | + | 0.381425i | ||||
\(711\) | 2.17407e6 | − | 5.53944e6i | 0.00604873 | − | 0.0154119i | ||||
\(712\) | −4.61658e8 | − | 6.95838e7i | −1.27903 | − | 0.192783i | ||||
\(713\) | 1.73527e8 | − | 1.18308e8i | 0.478738 | − | 0.326398i | ||||
\(714\) | −3.08979e8 | + | 1.00169e9i | −0.848858 | + | 2.75193i | ||||
\(715\) | 3.59206e7 | − | 8.19864e6i | 0.0982710 | − | 0.0224297i | ||||
\(716\) | −1.57004e9 | + | 6.16195e8i | −4.27732 | + | 1.67872i | ||||
\(717\) | −1.10044e7 | − | 824666.i | −0.0298544 | − | 0.00223728i | ||||
\(718\) | 2.01127e8 | − | 2.16764e8i | 0.543373 | − | 0.585617i | ||||
\(719\) | 3.74732e8 | + | 2.55488e8i | 1.00817 | + | 0.687360i | 0.950419 | − | 0.310971i | \(-0.100654\pi\) |
0.0577520 | + | 0.998331i | \(0.481607\pi\) | |||||||
\(720\) | 3.46157e6 | − | 2.76051e6i | 0.00927419 | − | 0.00739592i | ||||
\(721\) | −1.74270e8 | − | 1.87819e8i | −0.464962 | − | 0.501110i | ||||
\(722\) | 764864. | + | 5.07454e6i | 0.00203223 | + | 0.0134830i | ||||
\(723\) | −1.01748e8 | + | 4.45788e8i | −0.269223 | + | 1.17954i | ||||
\(724\) | −7.72522e7 | + | 1.33805e8i | −0.203561 | + | 0.352578i | ||||
\(725\) | 3.47994e8 | − | 2.00915e8i | 0.913184 | − | 0.527227i | ||||
\(726\) | 3.93881e8 | − | 1.21496e8i | 1.02933 | − | 0.317507i | ||||
\(727\) | 4.16831e7 | + | 3.32412e7i | 0.108482 | + | 0.0865114i | 0.676228 | − | 0.736692i | \(-0.263613\pi\) |
−0.567747 | + | 0.823203i | \(0.692185\pi\) | |||||||
\(728\) | 8.91914e7 | + | 1.19018e9i | 0.231169 | + | 3.08473i | ||||
\(729\) | 3.45079e8 | − | 1.66181e8i | 0.890710 | − | 0.428943i | ||||
\(730\) | 3.49972e7i | 0.0899631i | ||||||||
\(731\) | −3.97081e8 | − | 8.56807e7i | −1.01655 | − | 0.219347i | ||||
\(732\) | 1.02652e9 | 2.61719 | ||||||||
\(733\) | 5.96169e7 | + | 1.23796e8i | 0.151376 | + | 0.314336i | 0.962843 | − | 0.270063i | \(-0.0870446\pi\) |
−0.811466 | + | 0.584399i | \(0.801330\pi\) | |||||||
\(734\) | 9.24385e6 | − | 692731.i | 0.0233757 | − | 0.00175177i | ||||
\(735\) | 5.94620e7 | − | 7.45630e7i | 0.149754 | − | 0.187785i | ||||
\(736\) | 5.32336e8 | + | 1.72579e9i | 1.33522 | + | 4.32867i | ||||
\(737\) | 6.75315e7 | + | 1.16968e8i | 0.168696 | + | 0.292190i | ||||
\(738\) | 506555. | + | 292460.i | 0.00126025 | + | 0.000727607i | ||||
\(739\) | −5.91655e8 | − | 1.35041e8i | −1.46600 | − | 0.334606i | −0.586287 | − | 0.810104i | \(-0.699411\pi\) |
−0.879717 | + | 0.475498i | \(0.842268\pi\) | |||||||
\(740\) | 4.00916e8 | − | 6.04283e7i | 0.989368 | − | 0.149123i | ||||
\(741\) | −1.81997e8 | + | 1.68868e8i | −0.447311 | + | 0.415044i | ||||
\(742\) | −1.12071e9 | − | 1.40533e9i | −2.74336 | − | 3.44007i | ||||
\(743\) | 1.63029e8 | − | 2.39120e8i | 0.397464 | − | 0.582973i | −0.574382 | − | 0.818587i | \(-0.694758\pi\) |
0.971847 | + | 0.235614i | \(0.0757101\pi\) | |||||||
\(744\) | −6.81591e8 | − | 6.32424e8i | −1.65503 | − | 1.53564i | ||||
\(745\) | 3.18529e6 | − | 4.25047e7i | 0.00770335 | − | 0.102794i | ||||
\(746\) | −1.40650e8 | − | 3.58371e8i | −0.338785 | − | 0.863211i | ||||
\(747\) | 522069. | + | 2.28733e6i | 0.00125247 | + | 0.00548742i | ||||
\(748\) | 8.01218e8 | + | 2.47143e8i | 1.91446 | + | 0.590532i | ||||
\(749\) | −2.68338e7 | − | 3.93579e7i | −0.0638611 | − | 0.0936671i | ||||
\(750\) | −5.95228e7 | + | 3.94908e8i | −0.141091 | + | 0.936078i | ||||
\(751\) | 7.61179e8 | + | 2.98741e8i | 1.79708 | + | 0.705301i | 0.993994 | + | 0.109435i | \(0.0349040\pi\) |
0.803084 | + | 0.595866i | \(0.203191\pi\) | |||||||
\(752\) | −2.52575e9 | − | 1.21634e9i | −5.93931 | − | 2.86022i | ||||
\(753\) | −3.56759e8 | + | 7.40818e8i | −0.835584 | + | 1.73511i | ||||
\(754\) | −2.08903e8 | + | 5.32275e8i | −0.487337 | + | 1.24172i | ||||
\(755\) | 1.06414e8 | + | 1.60393e7i | 0.247263 | + | 0.0372688i | ||||
\(756\) | 1.42231e9 | − | 9.69717e8i | 3.29177 | − | 2.24429i | ||||
\(757\) | 5.49232e7 | − | 1.78057e8i | 0.126610 | − | 0.410460i | −0.869969 | − | 0.493107i | \(-0.835861\pi\) |
0.996579 | + | 0.0826469i | \(0.0263374\pi\) | |||||||
\(758\) | −7.05684e8 | + | 1.61068e8i | −1.62033 | + | 0.369829i | ||||
\(759\) | −2.59780e8 | + | 1.01956e8i | −0.594128 | + | 0.233178i | ||||
\(760\) | −3.96158e8 | − | 2.96879e7i | −0.902458 | − | 0.0676299i | ||||
\(761\) | 4.26552e7 | − | 4.59713e7i | 0.0967871 | − | 0.104312i | −0.682801 | − | 0.730605i | \(-0.739238\pi\) |
0.779588 | + | 0.626293i | \(0.215429\pi\) | |||||||
\(762\) | 9.77134e7 | + | 6.66199e7i | 0.220846 | + | 0.150570i | ||||
\(763\) | −4.25100e7 | + | 3.39006e7i | −0.0957011 | + | 0.0763191i | ||||
\(764\) | −1.87499e8 | − | 2.02076e8i | −0.420455 | − | 0.453143i | ||||
\(765\) | −191096. | − | 1.26784e6i | −0.000426843 | − | 0.00283192i | ||||
\(766\) | 1.40108e8 | − | 6.13855e8i | 0.311730 | − | 1.36578i | ||||
\(767\) | 2.29644e8 | − | 3.97755e8i | 0.508943 | − | 0.881514i | ||||
\(768\) | 2.06924e9 | − | 1.19468e9i | 4.56802 | − | 2.63735i | ||||
\(769\) | −7.36099e8 | + | 2.27057e8i | −1.61867 | + | 0.499293i | −0.966041 | − | 0.258388i | \(-0.916809\pi\) |
−0.652625 | + | 0.757681i | \(0.726332\pi\) | |||||||
\(770\) | −1.63844e8 | − | 1.30661e8i | −0.358888 | − | 0.286204i | ||||
\(771\) | −5.03826e7 | − | 6.72308e8i | −0.109930 | − | 1.46692i | ||||
\(772\) | −2.01776e9 | + | 9.71700e8i | −4.38548 | + | 2.11193i | ||||
\(773\) | 5.10488e8i | 1.10522i | 0.833442 | + | 0.552608i | \(0.186367\pi\) | ||||
−0.833442 | + | 0.552608i | \(0.813633\pi\) | |||||||
\(774\) | −6.41884e6 | − | 7.85566e6i | −0.0138431 | − | 0.0169418i | ||||
\(775\) | 2.68983e8 | 0.577857 | ||||||||
\(776\) | 4.82783e8 | + | 1.00251e9i | 1.03316 | + | 2.14538i | ||||
\(777\) | −9.34205e8 | + | 7.00090e7i | −1.99149 | + | 0.149242i | ||||
\(778\) | −4.50857e8 | + | 5.65357e8i | −0.957415 | + | 1.20056i | ||||
\(779\) | −9.30017e6 | − | 3.01504e7i | −0.0196734 | − | 0.0637795i | ||||
\(780\) | −1.01926e8 | − | 1.76541e8i | −0.214783 | − | 0.372015i | ||||
\(781\) | −2.42522e8 | − | 1.40020e8i | −0.509093 | − | 0.293925i | ||||
\(782\) | 8.96462e8 | + | 2.04612e8i | 1.87461 | + | 0.427868i | ||||
\(783\) | 5.30108e8 | − | 7.99010e7i | 1.10428 | − | 0.166443i | ||||
\(784\) | 1.47012e9 | − | 1.36407e9i | 3.05074 | − | 2.83067i | ||||
\(785\) | 1.64183e7 | + | 2.05879e7i | 0.0339406 | + | 0.0425601i | ||||
\(786\) | −4.05140e8 | + | 5.94231e8i | −0.834328 | + | 1.22373i | ||||
\(787\) | 2.76278e8 | + | 2.56349e8i | 0.566790 | + | 0.525905i | 0.910684 | − | 0.413104i | \(-0.135555\pi\) |
−0.343893 | + | 0.939009i | \(0.611746\pi\) | |||||||
\(788\) | −3.93830e7 | + | 5.25530e8i | −0.0804878 | + | 1.07404i | ||||
\(789\) | −6.05844e7 | − | 1.54367e8i | −0.123347 | − | 0.314284i | ||||
\(790\) | −7.91748e7 | − | 3.46888e8i | −0.160585 | − | 0.703570i | ||||
\(791\) | −3.60372e8 | − | 1.11160e8i | −0.728151 | − | 0.224605i | ||||
\(792\) | 7.66746e6 | + | 1.12461e7i | 0.0154339 | + | 0.0226374i | ||||
\(793\) | 4.09405e7 | − | 2.71623e8i | 0.0820983 | − | 0.544686i | ||||
\(794\) | −4.75092e8 | − | 1.86460e8i | −0.949110 | − | 0.372498i | ||||
\(795\) | 1.79803e8 | + | 8.65885e7i | 0.357845 | + | 0.172329i | ||||
\(796\) | 9.46568e8 | − | 1.96557e9i | 1.87678 | − | 3.89717i | ||||
\(797\) | 2.58872e8 | − | 6.59595e8i | 0.511340 | − | 1.30287i | −0.409278 | − | 0.912410i | \(-0.634219\pi\) |
0.920618 | − | 0.390464i | \(-0.127685\pi\) | |||||||
\(798\) | 1.39636e9 | + | 2.10468e8i | 2.74783 | + | 0.414168i | ||||
\(799\) | −6.70762e8 | + | 4.57318e8i | −1.31501 | + | 0.896556i | ||||
\(800\) | −6.81790e8 | + | 2.21031e9i | −1.33162 | + | 4.31701i | ||||
\(801\) | −1.97896e6 | + | 451685.i | −0.00385070 | + | 0.000878898i | ||||
\(802\) | 1.24317e9 | − | 4.87908e8i | 2.40995 | − | 0.945834i | ||||
\(803\) | −6.45004e7 | − | 4.83364e6i | −0.124571 | − | 0.00933528i | ||||
\(804\) | 5.08275e8 | − | 5.47790e8i | 0.977981 | − | 1.05401i | ||||
\(805\) | −1.40661e8 | − | 9.59008e7i | −0.269641 | − | 0.183838i | ||||
\(806\) | −2.99255e8 | + | 2.38648e8i | −0.571527 | + | 0.455778i | ||||
\(807\) | 1.10958e8 | + | 1.19584e8i | 0.211125 | + | 0.227538i | ||||
\(808\) | −2.93408e8 | − | 1.94663e9i | −0.556209 | − | 3.69020i | ||||
\(809\) | −8.39050e7 | + | 3.67612e8i | −0.158468 | + | 0.694295i | 0.831795 | + | 0.555084i | \(0.187314\pi\) |
−0.990263 | + | 0.139211i | \(0.955543\pi\) | |||||||
\(810\) | −1.30442e8 | + | 2.25932e8i | −0.245449 | + | 0.425130i | ||||
\(811\) | −5.11944e8 | + | 2.95571e8i | −0.959754 | + | 0.554114i | −0.896097 | − | 0.443858i | \(-0.853610\pi\) |
−0.0636564 | + | 0.997972i | \(0.520276\pi\) | |||||||
\(812\) | 2.30214e9 | − | 7.10117e8i | 4.29996 | − | 1.32636i | ||||
\(813\) | −6.27497e8 | − | 5.00412e8i | −1.16772 | − | 0.931228i | ||||
\(814\) | 7.55954e7 | + | 1.00875e9i | 0.140159 | + | 1.87030i | ||||
\(815\) | −1.08416e8 | + | 5.22106e7i | −0.200273 | + | 0.0964464i | ||||
\(816\) | − | 2.44736e9i | − | 4.50430i | ||||||
\(817\) | −3.44082e7 | + | 5.46145e8i | −0.0630951 | + | 1.00148i | ||||
\(818\) | −1.36898e9 | −2.50114 | ||||||||
\(819\) | 2.25148e6 | + | 4.67524e6i | 0.00409841 | + | 0.00851044i | ||||
\(820\) | 2.58344e7 | − | 1.93602e6i | 0.0468551 | − | 0.00351130i | ||||
\(821\) | 1.51781e8 | − | 1.90327e8i | 0.274276 | − | 0.343931i | −0.625547 | − | 0.780186i | \(-0.715124\pi\) |
0.899823 | + | 0.436256i | \(0.143696\pi\) | |||||||
\(822\) | −1.94893e8 | − | 6.31829e8i | −0.350898 | − | 1.13758i | ||||
\(823\) | −3.91774e8 | − | 6.78573e8i | −0.702807 | − | 1.21730i | −0.967477 | − | 0.252959i | \(-0.918596\pi\) |
0.264669 | − | 0.964339i | \(-0.414737\pi\) | |||||||
\(824\) | 8.61697e8 | + | 4.97501e8i | 1.54019 | + | 0.889227i | ||||
\(825\) | −3.48459e8 | − | 7.95335e7i | −0.620569 | − | 0.141641i | ||||
\(826\) | −2.58317e9 | + | 3.89351e8i | −4.58367 | + | 0.690877i | ||||
\(827\) | −9.93066e7 | + | 9.21430e7i | −0.175575 | + | 0.162909i | −0.763065 | − | 0.646322i | \(-0.776306\pi\) |
0.587491 | + | 0.809231i | \(0.300116\pi\) | |||||||
\(828\) | 1.06057e7 | + | 1.32991e7i | 0.0186831 | + | 0.0234279i | ||||
\(829\) | −4.12122e8 | + | 6.04472e8i | −0.723373 | + | 1.06099i | 0.271751 | + | 0.962368i | \(0.412397\pi\) |
−0.995125 | + | 0.0986264i | \(0.968555\pi\) | |||||||
\(830\) | 1.02833e8 | + | 9.54153e7i | 0.179845 | + | 0.166872i | ||||
\(831\) | −2.21993e7 | + | 2.96229e8i | −0.0386844 | + | 0.516208i | ||||
\(832\) | −6.54432e8 | − | 1.66746e9i | −1.13630 | − | 2.89525i | ||||
\(833\) | −1.29232e8 | − | 5.66204e8i | −0.223582 | − | 0.979576i | ||||
\(834\) | 2.89140e8 | + | 8.91879e7i | 0.498437 | + | 0.153747i | ||||
\(835\) | 5.51015e7 | + | 8.08190e7i | 0.0946464 | + | 0.138821i | ||||
\(836\) | 1.68346e8 | − | 1.11691e9i | 0.288128 | − | 1.91160i | ||||
\(837\) | 3.34054e8 | + | 1.31107e8i | 0.569693 | + | 0.223588i | ||||
\(838\) | 3.20380e8 | + | 1.54287e8i | 0.544419 | + | 0.262178i | ||||
\(839\) | 2.32251e8 | − | 4.82275e8i | 0.393253 | − | 0.816599i | −0.606515 | − | 0.795072i | \(-0.707433\pi\) |
0.999768 | − | 0.0215270i | \(-0.00685280\pi\) | |||||||
\(840\) | −2.75356e8 | + | 7.01595e8i | −0.464575 | + | 1.18372i | ||||
\(841\) | 1.53717e8 | + | 2.31691e7i | 0.258425 | + | 0.0389513i | ||||
\(842\) | 9.49987e8 | − | 6.47690e8i | 1.59141 | − | 1.08500i | ||||
\(843\) | 5.21829e7 | − | 1.69173e8i | 0.0871055 | − | 0.282389i | ||||
\(844\) | −1.56837e9 | + | 3.57971e8i | −2.60869 | + | 0.595416i | ||||
\(845\) | 8.80717e7 | − | 3.45656e7i | 0.145971 | − | 0.0572894i | ||||
\(846\) | −2.02172e7 | − | 1.51507e6i | −0.0333895 | − | 0.00250220i | ||||
\(847\) | −3.16096e8 | + | 3.40671e8i | −0.520198 | + | 0.560640i | ||||
\(848\) | 3.46737e9 | + | 2.36401e9i | 5.68608 | + | 3.87670i | ||||
\(849\) | −5.27761e8 | + | 4.20875e8i | −0.862411 | + | 0.687750i | ||||
\(850\) | 8.01020e8 | + | 8.63294e8i | 1.30433 | + | 1.40573i | ||||
\(851\) | 1.22478e8 | + | 8.12590e8i | 0.198733 | + | 1.31851i | ||||
\(852\) | −3.44773e8 | + | 1.51055e9i | −0.557461 | + | 2.44240i | ||||
\(853\) | 2.43215e8 | − | 4.21261e8i | 0.391872 | − | 0.678741i | −0.600825 | − | 0.799381i | \(-0.705161\pi\) |
0.992696 | + | 0.120639i | \(0.0384944\pi\) | |||||||
\(854\) | −1.35307e9 | + | 7.81197e8i | −2.17244 | + | 1.25426i | ||||
\(855\) | −1.65050e6 | + | 509111.i | −0.00264068 | + | 0.000814542i | ||||
\(856\) | 1.44630e8 | + | 1.15339e8i | 0.230589 | + | 0.183889i | ||||
\(857\) | 2.90241e7 | + | 3.87299e8i | 0.0461122 | + | 0.615324i | 0.971613 | + | 0.236578i | \(0.0760258\pi\) |
−0.925500 | + | 0.378747i | \(0.876355\pi\) | |||||||
\(858\) | 4.58239e8 | − | 2.20676e8i | 0.725489 | − | 0.349377i | ||||
\(859\) | − | 5.38684e7i | − | 0.0849874i | −0.999097 | − | 0.0424937i | \(-0.986470\pi\) | ||
0.999097 | − | 0.0424937i | \(-0.0135302\pi\) | |||||||
\(860\) | −4.30899e8 | − | 1.27328e8i | −0.677454 | − | 0.200184i | ||||
\(861\) | −5.98606e7 | −0.0937847 | ||||||||
\(862\) | 3.75288e8 | + | 7.79293e8i | 0.585926 | + | 1.21669i | ||||
\(863\) | −5.42629e8 | + | 4.06644e7i | −0.844249 | + | 0.0632678i | −0.489829 | − | 0.871818i | \(-0.662941\pi\) |
−0.354420 | + | 0.935086i | \(0.615322\pi\) | |||||||
\(864\) | −1.92406e9 | + | 2.41270e9i | −2.98317 | + | 3.74078i | ||||
\(865\) | −3.42239e7 | − | 1.10951e8i | −0.0528787 | − | 0.171428i | ||||
\(866\) | −2.64190e8 | − | 4.57591e8i | −0.406783 | − | 0.704570i | ||||
\(867\) | −4.62413e7 | − | 2.66974e7i | −0.0709534 | − | 0.0409649i | ||||
\(868\) | 1.57226e9 | + | 3.58858e8i | 2.40417 | + | 0.548737i | ||||
\(869\) | 6.50255e8 | − | 9.80102e7i | 0.990888 | − | 0.149352i | ||||
\(870\) | −2.64696e8 | + | 2.45602e8i | −0.401967 | + | 0.372971i | ||||
\(871\) | −1.24676e8 | − | 1.56339e8i | −0.188681 | − | 0.236599i | ||||
\(872\) | 1.18947e8 | − | 1.74463e8i | 0.179392 | − | 0.263120i | ||||
\(873\) | 3.54634e6 | + | 3.29052e6i | 0.00533013 | + | 0.00494563i | ||||
\(874\) | 9.25684e7 | − | 1.23524e9i | 0.138653 | − | 1.85019i | ||||
\(875\) | −1.64502e8 | − | 4.19144e8i | −0.245554 | − | 0.625661i | ||||
\(876\) | 7.96328e7 | + | 3.48894e8i | 0.118462 | + | 0.519017i | ||||
\(877\) | 8.20184e8 | + | 2.52993e8i | 1.21594 | + | 0.375068i | 0.835372 | − | 0.549685i | \(-0.185252\pi\) |
0.380568 | + | 0.924753i | \(0.375728\pi\) | |||||||
\(878\) | −7.18629e8 | − | 1.05403e9i | −1.06175 | − | 1.55730i | ||||
\(879\) | 1.39976e7 | − | 9.28677e7i | 0.0206104 | − | 0.136741i | ||||
\(880\) | 4.55447e8 | + | 1.78750e8i | 0.668329 | + | 0.262300i | ||||
\(881\) | 7.27566e8 | + | 3.50377e8i | 1.06401 | + | 0.512399i | 0.882171 | − | 0.470930i | \(-0.156082\pi\) |
0.181837 | + | 0.983329i | \(0.441796\pi\) | |||||||
\(882\) | 6.29286e6 | − | 1.30673e7i | 0.00917155 | − | 0.0190449i | ||||
\(883\) | 1.09729e8 | − | 2.79584e8i | 0.159382 | − | 0.406098i | −0.828768 | − | 0.559593i | \(-0.810958\pi\) |
0.988149 | + | 0.153495i | \(0.0490529\pi\) | |||||||
\(884\) | −1.22751e9 | − | 1.85018e8i | −1.77693 | − | 0.267829i | ||||
\(885\) | 2.39640e8 | − | 1.63384e8i | 0.345723 | − | 0.235710i | ||||
\(886\) | −3.07290e7 | + | 9.96210e7i | −0.0441822 | + | 0.143235i | ||||
\(887\) | 6.15662e8 | − | 1.40521e8i | 0.882209 | − | 0.201358i | 0.242662 | − | 0.970111i | \(-0.421979\pi\) |
0.639546 | + | 0.768752i | \(0.279122\pi\) | |||||||
\(888\) | 3.38664e9 | − | 1.32916e9i | 4.83648 | − | 1.89818i | ||||
\(889\) | −1.32963e8 | − | 9.96420e6i | −0.189245 | − | 0.0141820i | ||||
\(890\) | −8.25517e7 | + | 8.89695e7i | −0.117100 | + | 0.126203i | ||||
\(891\) | −3.98380e8 | − | 2.71611e8i | −0.563202 | − | 0.383985i | ||||
\(892\) | 3.71195e8 | − | 2.96018e8i | 0.523007 | − | 0.417084i | ||||
\(893\) | 7.43857e8 | + | 8.01687e8i | 1.04456 | + | 1.12577i | ||||
\(894\) | −8.76949e7 | − | 5.81817e8i | −0.122733 | − | 0.814281i | ||||
\(895\) | −6.34211e7 | + | 2.77866e8i | −0.0884636 | + | 0.387584i | ||||
\(896\) | −2.66759e9 | + | 4.62040e9i | −3.70847 | + | 6.42326i | ||||
\(897\) | 3.57818e8 | − | 2.06587e8i | 0.495776 | − | 0.286236i | ||||
\(898\) | −6.53031e8 | + | 2.01433e8i | −0.901789 | + | 0.278165i | ||||
\(899\) | 3.92662e8 | + | 3.13137e8i | 0.540430 | + | 0.430978i | ||||
\(900\) | 1.62806e6 | + | 2.17250e7i | 0.00223328 | + | 0.0298011i | ||||
\(901\) | 1.09493e9 | − | 5.27292e8i | 1.49697 | − | 0.720902i | ||||
\(902\) | 6.46373e7i | 0.0880772i | ||||||||
\(903\) | 9.70869e8 | + | 3.67788e8i | 1.31855 | + | 0.499498i | ||||
\(904\) | 1.46456e9 | 1.98245 | ||||||||
\(905\) | 1.13281e7 | + | 2.35230e7i | 0.0152831 | + | 0.0317357i | ||||
\(906\) | 1.48140e9 | − | 1.11016e8i | 1.99199 | − | 0.149279i | ||||
\(907\) | 1.16207e8 | − | 1.45719e8i | 0.155744 | − | 0.195296i | −0.697838 | − | 0.716256i | \(-0.745854\pi\) |
0.853581 | + | 0.520959i | \(0.174426\pi\) | |||||||
\(908\) | −8.92383e8 | − | 2.89303e9i | −1.19205 | − | 3.86452i | ||||
\(909\) | −4.27956e6 | − | 7.41241e6i | −0.00569780 | − | 0.00986888i | ||||
\(910\) | 2.68699e8 | + | 1.55133e8i | 0.356568 | + | 0.205864i | ||||
\(911\) | 3.96857e8 | + | 9.05799e7i | 0.524902 | + | 0.119806i | 0.476758 | − | 0.879035i | \(-0.341812\pi\) |
0.0481448 | + | 0.998840i | \(0.484669\pi\) | |||||||
\(912\) | −3.26007e9 | + | 4.91377e8i | −4.29777 | + | 0.647784i | ||||
\(913\) | −1.90055e8 | + | 1.76345e8i | −0.249728 | + | 0.231713i | ||||
\(914\) | −1.34127e9 | − | 1.68191e9i | −1.75663 | − | 2.20274i | ||||
\(915\) | 9.77164e7 | − | 1.43324e8i | 0.127557 | − | 0.187092i | ||||
\(916\) | −2.19173e9 | − | 2.03363e9i | −2.85168 | − | 2.64597i | ||||
\(917\) | 6.05959e7 | − | 8.08596e8i | 0.0785842 | − | 1.04863i | ||||
\(918\) | 5.74015e8 | + | 1.46257e9i | 0.741986 | + | 1.89055i | ||||
\(919\) | 1.42567e8 | + | 6.24628e8i | 0.183685 | + | 0.804776i | 0.979856 | + | 0.199705i | \(0.0639983\pi\) |
−0.796171 | + | 0.605071i | \(0.793145\pi\) | |||||||
\(920\) | 6.31758e8 | + | 1.94872e8i | 0.811311 | + | 0.250256i | ||||
\(921\) | −3.71577e8 | − | 5.45003e8i | −0.475630 | − | 0.697621i | ||||
\(922\) | 1.78493e8 | − | 1.18422e9i | 0.227734 | − | 1.51092i | ||||
\(923\) | 3.85948e8 | + | 1.51473e8i | 0.490821 | + | 0.192633i | ||||
\(924\) | −1.93070e9 | − | 9.29778e8i | −2.44737 | − | 1.17859i | ||||
\(925\) | −4.56654e8 | + | 9.48252e8i | −0.576982 | + | 1.19812i | ||||
\(926\) | −8.86138e8 | + | 2.25784e9i | −1.11601 | + | 2.84355i | ||||
\(927\) | 4.27772e6 | + | 644763.i | 0.00536999 | + | 0.000809396i | ||||
\(928\) | −3.56841e9 | + | 2.43290e9i | −4.46509 | + | 3.04425i | ||||
\(929\) | −1.78858e7 | + | 5.79842e7i | −0.0223080 | + | 0.0723207i | −0.966042 | − | 0.258384i | \(-0.916810\pi\) |
0.943734 | + | 0.330704i | \(0.107286\pi\) | |||||||
\(930\) | −2.35651e8 | + | 5.37858e7i | −0.292968 | + | 0.0668681i | ||||
\(931\) | −7.28281e8 | + | 2.85829e8i | −0.902506 | + | 0.354208i | ||||
\(932\) | −1.58081e9 | − | 1.18465e8i | −1.95268 | − | 0.146333i | ||||
\(933\) | −1.44575e8 | + | 1.55815e8i | −0.178012 | + | 0.191851i | ||||
\(934\) | −2.23689e9 | − | 1.52508e9i | −2.74538 | − | 1.87177i | ||||
\(935\) | 1.10775e8 | − | 8.83404e7i | 0.135522 | − | 0.108075i | ||||
\(936\) | −1.37067e7 | − | 1.47723e7i | −0.0167150 | − | 0.0180145i | ||||
\(937\) | −3.03411e7 | − | 2.01300e8i | −0.0368818 | − | 0.244695i | 0.962792 | − | 0.270244i | \(-0.0871045\pi\) |
−0.999674 | + | 0.0255497i | \(0.991866\pi\) | |||||||
\(938\) | −2.53088e8 | + | 1.10885e9i | −0.306664 | + | 1.34358i | ||||
\(939\) | −1.76157e8 | + | 3.05114e8i | −0.212767 | + | 0.368523i | ||||
\(940\) | −7.77653e8 | + | 4.48978e8i | −0.936272 | + | 0.540557i | ||||
\(941\) | 8.55570e8 | − | 2.63909e8i | 1.02680 | − | 0.316727i | 0.264802 | − | 0.964303i | \(-0.414693\pi\) |
0.762001 | + | 0.647576i | \(0.224217\pi\) | |||||||
\(942\) | 2.84200e8 | + | 2.26642e8i | 0.339993 | + | 0.271136i | ||||
\(943\) | 3.92399e6 | + | 5.23620e7i | 0.00467943 | + | 0.0624427i | ||||
\(944\) | 5.49504e9 | − | 2.64627e9i | 6.53213 | − | 3.14571i | ||||
\(945\) | − | 2.90893e8i | − | 0.344697i | ||||||
\(946\) | 3.97136e8 | − | 1.04834e9i | 0.469100 | − | 1.23831i | ||||
\(947\) | 5.40736e8 | 0.636700 | 0.318350 | − | 0.947973i | \(-0.396871\pi\) | ||||
0.318350 | + | 0.947973i | \(0.396871\pi\) | |||||||
\(948\) | −1.57862e9 | − | 3.27804e9i | −1.85290 | − | 3.84759i | ||||
\(949\) | 9.54949e7 | − | 7.15635e6i | 0.111733 | − | 0.00837323i | ||||
\(950\) | 9.89148e8 | − | 1.24035e9i | 1.15369 | − | 1.44669i | ||||
\(951\) | 2.96103e8 | + | 9.59942e8i | 0.344272 | + | 1.11610i | ||||
\(952\) | 2.29486e9 | + | 3.97482e9i | 2.65978 | + | 4.60687i | ||||
\(953\) | 7.20259e8 | + | 4.15842e8i | 0.832166 | + | 0.480451i | 0.854594 | − | 0.519297i | \(-0.173806\pi\) |
−0.0224274 | + | 0.999748i | \(0.507139\pi\) | |||||||
\(954\) | 2.95886e7 | + | 6.75340e6i | 0.0340784 | + | 0.00777817i | ||||
\(955\) | −4.60623e7 | + | 6.94278e6i | −0.0528854 | + | 0.00797119i | ||||
\(956\) | −5.44879e7 | + | 5.05574e7i | −0.0623630 | + | 0.0578644i | ||||
\(957\) | −4.16091e8 | − | 5.21762e8i | −0.474736 | − | 0.595301i | ||||
\(958\) | 5.68588e8 | − | 8.33966e8i | 0.646698 | − | 0.948531i | ||||
\(959\) | 5.46473e8 | + | 5.07053e8i | 0.619602 | + | 0.574907i | ||||
\(960\) | 8.45336e7 | − | 1.12802e9i | 0.0955467 | − | 1.27498i | ||||
\(961\) | −2.01416e8 | − | 5.13200e8i | −0.226947 | − | 0.578252i | ||||
\(962\) | −3.33264e8 | − | 1.46013e9i | −0.374338 | − | 1.64008i | ||||
\(963\) | 768559. | + | 237069.i | 0.000860594 | + | 0.000265458i | ||||
\(964\) | 1.73498e9 | + | 2.54475e9i | 1.93670 | + | 2.84062i | ||||
\(965\) | −5.64042e7 | + | 3.74217e8i | −0.0627667 | + | 0.416430i | ||||
\(966\) | −2.18761e9 | − | 8.58573e8i | −2.42682 | − | 0.952458i | ||||
\(967\) | −1.00366e7 | − | 4.83336e6i | −0.0110996 | − | 0.00534527i | 0.428326 | − | 0.903624i | \(-0.359104\pi\) |
−0.439425 | + | 0.898279i | \(0.644818\pi\) | |||||||
\(968\) | 7.83056e8 | − | 1.62603e9i | 0.863310 | − | 1.79268i | ||||
\(969\) | −3.48808e8 | + | 8.88748e8i | −0.383367 | + | 0.976804i | ||||
\(970\) | 2.86028e8 | + | 4.31118e7i | 0.313396 | + | 0.0472369i | ||||
\(971\) | −1.45027e9 | + | 9.88781e8i | −1.58414 | + | 1.08005i | −0.631742 | + | 0.775179i | \(0.717660\pi\) |
−0.952395 | + | 0.304867i | \(0.901388\pi\) | |||||||
\(972\) | −1.72309e7 | + | 5.58611e7i | −0.0187633 | + | 0.0608290i | ||||
\(973\) | −3.32595e8 | + | 7.59126e7i | −0.361058 | + | 0.0824091i | ||||
\(974\) | −2.88067e8 | + | 1.13058e8i | −0.311758 | + | 0.122356i | ||||
\(975\) | 5.27692e8 | + | 3.95451e7i | 0.569334 | + | 0.0426657i | ||||
\(976\) | 2.48107e9 | − | 2.67396e9i | 2.66864 | − | 2.87611i | ||||
\(977\) | −9.94620e7 | − | 6.78121e7i | −0.106653 | − | 0.0727149i | 0.508819 | − | 0.860874i | \(-0.330082\pi\) |
−0.615472 | + | 0.788159i | \(0.711035\pi\) | |||||||
\(978\) | −1.29870e9 | + | 1.03568e9i | −1.38833 | + | 1.10716i | ||||
\(979\) | −1.52571e8 | − | 1.64432e8i | −0.162601 | − | 0.175242i | ||||
\(980\) | −9.57420e7 | − | 6.35207e8i | −0.101724 | − | 0.674896i | ||||
\(981\) | 204284. | − | 895028.i | 0.000216385 | − | 0.000948046i | ||||
\(982\) | 5.40805e8 | − | 9.36702e8i | 0.571092 | − | 0.989161i | ||||
\(983\) | −4.28083e8 | + | 2.47154e8i | −0.450679 | + | 0.260199i | −0.708117 | − | 0.706095i | \(-0.750455\pi\) |
0.257438 | + | 0.966295i | \(0.417122\pi\) | |||||||
\(984\) | 2.22139e8 | − | 6.85208e7i | 0.233152 | − | 0.0719179i | ||||
\(985\) | 6.96257e7 | + | 5.55246e7i | 0.0728552 | + | 0.0581001i | ||||
\(986\) | 1.64323e8 | + | 2.19274e9i | 0.171423 | + | 2.28748i | ||||
\(987\) | 1.86935e9 | − | 9.00234e8i | 1.94420 | − | 0.936276i | ||||
\(988\) | 1.67229e9i | 1.73397i | ||||||||
\(989\) | 2.58073e8 | − | 8.73360e8i | 0.266780 | − | 0.902827i | ||||
\(990\) | 3.53838e6 | 0.00364669 | ||||||||
\(991\) | −1.11738e8 | − | 2.32027e8i | −0.114810 | − | 0.238406i | 0.835643 | − | 0.549273i | \(-0.185095\pi\) |
−0.950454 | + | 0.310866i | \(0.899381\pi\) | |||||||
\(992\) | −2.88295e9 | + | 2.16047e8i | −2.95326 | + | 0.221316i | ||||
\(993\) | −7.47232e8 | + | 9.36999e8i | −0.763146 | + | 0.956954i | ||||
\(994\) | −6.95097e8 | − | 2.25345e9i | −0.707761 | − | 2.29450i | ||||
\(995\) | −1.84328e8 | − | 3.19266e8i | −0.187121 | − | 0.324103i | ||||
\(996\) | 1.24227e9 | + | 7.17228e8i | 1.25730 | + | 0.725904i | ||||
\(997\) | 1.64759e9 | + | 3.76053e8i | 1.66251 | + | 0.379458i | 0.947526 | − | 0.319680i | \(-0.103575\pi\) |
0.714987 | + | 0.699138i | \(0.246433\pi\) | |||||||
\(998\) | 1.61029e9 | − | 2.42712e8i | 1.61999 | − | 0.244174i | ||||
\(999\) | −1.02932e9 | + | 9.55068e8i | −1.03241 | + | 0.957939i |
(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.29.1 | yes | 252 | |
43.3 | odd | 42 | inner | 43.7.h.a.3.1 | ✓ | 252 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.7.h.a.3.1 | ✓ | 252 | 43.3 | odd | 42 | inner | |
43.7.h.a.29.1 | yes | 252 | 1.1 | even | 1 | trivial |