Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [16,7,Mod(3,16)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(16, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 3]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("16.3");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 16 = 2^{4} \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 16.f (of order \(4\), degree \(2\), 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: | \(3.68086533792\) |
Analytic rank: | \(0\) |
Dimension: | \(22\) |
Relative dimension: | \(11\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 11.8 | ||
Character | \(\chi\) | \(=\) | 16.11 |
Dual form | 16.7.f.a.3.8 |
$q$-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 \(\left(\mathbb{Z}/16\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(15\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 5.82644 | + | 5.48203i | 0.728305 | + | 0.685253i | ||||
\(3\) | −6.79913 | − | 6.79913i | −0.251820 | − | 0.251820i | 0.569897 | − | 0.821716i | \(-0.306983\pi\) |
−0.821716 | + | 0.569897i | \(0.806983\pi\) | |||||||
\(4\) | 3.89476 | + | 63.8814i | 0.0608556 | + | 0.998147i | ||||
\(5\) | 158.437 | + | 158.437i | 1.26750 | + | 1.26750i | 0.947377 | + | 0.320119i | \(0.103723\pi\) |
0.320119 | + | 0.947377i | \(0.396277\pi\) | |||||||
\(6\) | −2.34170 | − | 76.8878i | −0.0108412 | − | 0.355962i | ||||
\(7\) | −213.507 | −0.622471 | −0.311235 | − | 0.950333i | \(-0.600743\pi\) | ||||
−0.311235 | + | 0.950333i | \(0.600743\pi\) | |||||||
\(8\) | −327.507 | + | 393.552i | −0.639662 | + | 0.768656i | ||||
\(9\) | − | 636.544i | − | 0.873174i | ||||||
\(10\) | 54.5675 | + | 1791.68i | 0.0545675 | + | 1.79168i | ||||
\(11\) | 1309.41 | − | 1309.41i | 0.983777 | − | 0.983777i | −0.0160934 | − | 0.999870i | \(-0.505123\pi\) |
0.999870 | + | 0.0160934i | \(0.00512291\pi\) | |||||||
\(12\) | 407.857 | − | 460.819i | 0.236028 | − | 0.266678i | ||||
\(13\) | 11.6360 | − | 11.6360i | 0.00529630 | − | 0.00529630i | −0.704454 | − | 0.709750i | \(-0.748808\pi\) |
0.709750 | + | 0.704454i | \(0.248808\pi\) | |||||||
\(14\) | −1243.99 | − | 1170.45i | −0.453348 | − | 0.426550i | ||||
\(15\) | − | 2154.47i | − | 0.638361i | ||||||
\(16\) | −4065.66 | + | 497.605i | −0.992593 | + | 0.121486i | ||||
\(17\) | 2834.10 | 0.576857 | 0.288429 | − | 0.957501i | \(-0.406867\pi\) | ||||
0.288429 | + | 0.957501i | \(0.406867\pi\) | |||||||
\(18\) | 3489.55 | − | 3708.78i | 0.598345 | − | 0.635937i | ||||
\(19\) | −7194.40 | − | 7194.40i | −1.04890 | − | 1.04890i | −0.998741 | − | 0.0501577i | \(-0.984028\pi\) |
−0.0501577 | − | 0.998741i | \(-0.515972\pi\) | |||||||
\(20\) | −9504.10 | + | 10738.3i | −1.18801 | + | 1.34228i | ||||
\(21\) | 1451.67 | + | 1451.67i | 0.156750 | + | 0.156750i | ||||
\(22\) | 14807.4 | − | 450.974i | 1.39063 | − | 0.0423530i | ||||
\(23\) | 7839.29 | 0.644308 | 0.322154 | − | 0.946687i | \(-0.395593\pi\) | ||||
0.322154 | + | 0.946687i | \(0.395593\pi\) | |||||||
\(24\) | 4902.58 | − | 449.050i | 0.354642 | − | 0.0324834i | ||||
\(25\) | 34579.6i | 2.21309i | ||||||||
\(26\) | 131.585 | − | 4.00756i | 0.00748662 | − | 0.000228013i | ||||
\(27\) | −9284.51 | + | 9284.51i | −0.471702 | + | 0.471702i | ||||
\(28\) | −831.561 | − | 13639.2i | −0.0378809 | − | 0.621317i | ||||
\(29\) | −112.081 | + | 112.081i | −0.00459554 | + | 0.00459554i | −0.709401 | − | 0.704805i | \(-0.751034\pi\) |
0.704805 | + | 0.709401i | \(0.251034\pi\) | |||||||
\(30\) | 11810.9 | − | 12552.9i | 0.437439 | − | 0.464921i | ||||
\(31\) | − | 7877.51i | − | 0.264426i | −0.991221 | − | 0.132213i | \(-0.957792\pi\) | ||
0.991221 | − | 0.132213i | \(-0.0422083\pi\) | |||||||
\(32\) | −26416.2 | − | 19388.8i | −0.806159 | − | 0.591699i | ||||
\(33\) | −17805.7 | −0.495469 | ||||||||
\(34\) | 16512.7 | + | 15536.6i | 0.420128 | + | 0.395293i | ||||
\(35\) | −33827.5 | − | 33827.5i | −0.788979 | − | 0.788979i | ||||
\(36\) | 40663.3 | − | 2479.19i | 0.871555 | − | 0.0531375i | ||||
\(37\) | 22766.4 | + | 22766.4i | 0.449457 | + | 0.449457i | 0.895174 | − | 0.445717i | \(-0.147051\pi\) |
−0.445717 | + | 0.895174i | \(0.647051\pi\) | |||||||
\(38\) | −2477.83 | − | 81357.6i | −0.0451566 | − | 1.48268i | ||||
\(39\) | −158.229 | −0.00266742 | ||||||||
\(40\) | −114242. | + | 10464.0i | −1.78504 | + | 0.163500i | ||||
\(41\) | 20200.8i | 0.293101i | 0.989203 | + | 0.146551i | \(0.0468172\pi\) | ||||
−0.989203 | + | 0.146551i | \(0.953183\pi\) | |||||||
\(42\) | 499.970 | + | 16416.1i | 0.00674833 | + | 0.221576i | ||||
\(43\) | 29632.7 | − | 29632.7i | 0.372705 | − | 0.372705i | −0.495756 | − | 0.868462i | \(-0.665109\pi\) |
0.868462 | + | 0.495756i | \(0.165109\pi\) | |||||||
\(44\) | 88746.6 | + | 78546.9i | 1.04182 | + | 0.922085i | ||||
\(45\) | 100852. | − | 100852.i | 1.10674 | − | 1.10674i | ||||
\(46\) | 45675.2 | + | 42975.2i | 0.469252 | + | 0.441514i | ||||
\(47\) | 79640.8i | 0.767083i | 0.923524 | + | 0.383541i | \(0.125296\pi\) | ||||
−0.923524 | + | 0.383541i | \(0.874704\pi\) | |||||||
\(48\) | 31026.3 | + | 24259.7i | 0.280547 | + | 0.219362i | ||||
\(49\) | −72063.5 | −0.612530 | ||||||||
\(50\) | −189566. | + | 201476.i | −1.51653 | + | 1.61181i | ||||
\(51\) | −19269.4 | − | 19269.4i | −0.145264 | − | 0.145264i | ||||
\(52\) | 788.641 | + | 698.002i | 0.00560879 | + | 0.00496417i | ||||
\(53\) | −189013. | − | 189013.i | −1.26959 | − | 1.26959i | −0.946299 | − | 0.323292i | \(-0.895210\pi\) |
−0.323292 | − | 0.946299i | \(-0.604790\pi\) | |||||||
\(54\) | −104994. | + | 3197.69i | −0.666778 | + | 0.0203074i | ||||
\(55\) | 414917. | 2.49387 | ||||||||
\(56\) | 69925.2 | − | 84026.3i | 0.398171 | − | 0.478466i | ||||
\(57\) | 97831.3i | 0.528267i | ||||||||
\(58\) | −1267.46 | + | 38.6018i | −0.00649606 | + | 0.000197844i | ||||
\(59\) | −251413. | + | 251413.i | −1.22414 | + | 1.22414i | −0.257998 | + | 0.966145i | \(0.583063\pi\) |
−0.966145 | + | 0.257998i | \(0.916937\pi\) | |||||||
\(60\) | 137630. | − | 8391.14i | 0.637178 | − | 0.0388479i | ||||
\(61\) | 197272. | − | 197272.i | 0.869113 | − | 0.869113i | −0.123261 | − | 0.992374i | \(-0.539335\pi\) |
0.992374 | + | 0.123261i | \(0.0393353\pi\) | |||||||
\(62\) | 43184.7 | − | 45897.8i | 0.181199 | − | 0.192583i | ||||
\(63\) | 135907.i | 0.543525i | ||||||||
\(64\) | −47622.5 | − | 257782.i | −0.181665 | − | 0.983360i | ||||
\(65\) | 3687.14 | 0.0134261 | ||||||||
\(66\) | −103744. | − | 97611.1i | −0.360852 | − | 0.339522i | ||||
\(67\) | −214576. | − | 214576.i | −0.713439 | − | 0.713439i | 0.253814 | − | 0.967253i | \(-0.418315\pi\) |
−0.967253 | + | 0.253814i | \(0.918315\pi\) | |||||||
\(68\) | 11038.1 | + | 181046.i | 0.0351050 | + | 0.575788i | ||||
\(69\) | −53300.4 | − | 53300.4i | −0.162249 | − | 0.162249i | ||||
\(70\) | −11650.6 | − | 382537.i | −0.0339667 | − | 1.11527i | ||||
\(71\) | −275257. | −0.769066 | −0.384533 | − | 0.923111i | \(-0.625638\pi\) | ||||
−0.384533 | + | 0.923111i | \(0.625638\pi\) | |||||||
\(72\) | 250513. | + | 208472.i | 0.671171 | + | 0.558536i | ||||
\(73\) | 106038.i | 0.272580i | 0.990669 | + | 0.136290i | \(0.0435179\pi\) | ||||
−0.990669 | + | 0.136290i | \(0.956482\pi\) | |||||||
\(74\) | 7840.99 | + | 257453.i | 0.0193498 | + | 0.635334i | ||||
\(75\) | 235111. | − | 235111.i | 0.557301 | − | 0.557301i | ||||
\(76\) | 431568. | − | 487609.i | 0.983124 | − | 1.11079i | ||||
\(77\) | −279568. | + | 279568.i | −0.612373 | + | 0.612373i | ||||
\(78\) | −921.911 | − | 867.415i | −0.00194270 | − | 0.00182786i | ||||
\(79\) | 637548.i | 1.29310i | 0.762873 | + | 0.646549i | \(0.223788\pi\) | ||||
−0.762873 | + | 0.646549i | \(0.776212\pi\) | |||||||
\(80\) | −722990. | − | 565312.i | −1.41209 | − | 1.10413i | ||||
\(81\) | −337787. | −0.635606 | ||||||||
\(82\) | −110742. | + | 117699.i | −0.200849 | + | 0.213467i | ||||
\(83\) | 467104. | + | 467104.i | 0.816919 | + | 0.816919i | 0.985660 | − | 0.168741i | \(-0.0539702\pi\) |
−0.168741 | + | 0.985660i | \(0.553970\pi\) | |||||||
\(84\) | −87080.5 | + | 98388.3i | −0.146921 | + | 0.165999i | ||||
\(85\) | 449026. | + | 449026.i | 0.731164 | + | 0.731164i | ||||
\(86\) | 335100. | − | 10205.8i | 0.526841 | − | 0.0160455i | ||||
\(87\) | 1524.10 | 0.00231449 | ||||||||
\(88\) | 86480.1 | + | 944160.i | 0.126902 | + | 1.38547i | ||||
\(89\) | − | 240298.i | − | 0.340863i | −0.985370 | − | 0.170432i | \(-0.945484\pi\) | ||
0.985370 | − | 0.170432i | \(-0.0545162\pi\) | |||||||
\(90\) | 1.14048e6 | − | 34734.6i | 1.56445 | − | 0.0476469i | ||||
\(91\) | −2484.37 | + | 2484.37i | −0.00329679 | + | 0.00329679i | ||||
\(92\) | 30532.2 | + | 500785.i | 0.0392098 | + | 0.643114i | ||||
\(93\) | −53560.2 | + | 53560.2i | −0.0665876 | + | 0.0665876i | ||||
\(94\) | −436593. | + | 464022.i | −0.525646 | + | 0.558670i | ||||
\(95\) | − | 2.27972e6i | − | 2.65895i | ||||||
\(96\) | 47780.3 | + | 311434.i | 0.0540052 | + | 0.352008i | ||||
\(97\) | 869115. | 0.952274 | 0.476137 | − | 0.879371i | \(-0.342037\pi\) | ||||
0.476137 | + | 0.879371i | \(0.342037\pi\) | |||||||
\(98\) | −419874. | − | 395054.i | −0.446109 | − | 0.419738i | ||||
\(99\) | −833495. | − | 833495.i | −0.859008 | − | 0.859008i | ||||
\(100\) | −2.20899e6 | + | 134679.i | −2.20899 | + | 0.134679i | ||||
\(101\) | 81235.1 | + | 81235.1i | 0.0788459 | + | 0.0788459i | 0.745430 | − | 0.666584i | \(-0.232244\pi\) |
−0.666584 | + | 0.745430i | \(0.732244\pi\) | |||||||
\(102\) | −6636.60 | − | 217908.i | −0.00625382 | − | 0.205339i | ||||
\(103\) | −738426. | −0.675764 | −0.337882 | − | 0.941188i | \(-0.609711\pi\) | ||||
−0.337882 | + | 0.941188i | \(0.609711\pi\) | |||||||
\(104\) | 768.500 | + | 8390.22i | 0.000683194 | + | 0.00745887i | ||||
\(105\) | 459995.i | 0.397361i | ||||||||
\(106\) | −65098.2 | − | 2.13745e6i | −0.0546577 | − | 1.79464i | ||||
\(107\) | 498199. | − | 498199.i | 0.406679 | − | 0.406679i | −0.473900 | − | 0.880579i | \(-0.657154\pi\) |
0.880579 | + | 0.473900i | \(0.157154\pi\) | |||||||
\(108\) | −629268. | − | 556946.i | −0.499534 | − | 0.442122i | ||||
\(109\) | 113037. | − | 113037.i | 0.0872849 | − | 0.0872849i | −0.662116 | − | 0.749401i | \(-0.730341\pi\) |
0.749401 | + | 0.662116i | \(0.230341\pi\) | |||||||
\(110\) | 2.41749e6 | + | 2.27459e6i | 1.81630 | + | 1.70893i | ||||
\(111\) | − | 309583.i | − | 0.226364i | ||||||
\(112\) | 868049. | − | 106243.i | 0.617860 | − | 0.0756213i | ||||
\(113\) | 623127. | 0.431858 | 0.215929 | − | 0.976409i | \(-0.430722\pi\) | ||||
0.215929 | + | 0.976409i | \(0.430722\pi\) | |||||||
\(114\) | −536314. | + | 570008.i | −0.361997 | + | 0.384739i | ||||
\(115\) | 1.24203e6 | + | 1.24203e6i | 0.816658 | + | 0.816658i | ||||
\(116\) | −7596.39 | − | 6723.33i | −0.00486668 | − | 0.00430735i | ||||
\(117\) | −7406.80 | − | 7406.80i | −0.00462459 | − | 0.00462459i | ||||
\(118\) | −2.84310e6 | + | 86589.6i | −1.73040 | + | 0.0527011i | ||||
\(119\) | −605101. | −0.359077 | ||||||||
\(120\) | 847896. | + | 705603.i | 0.490680 | + | 0.408335i | ||||
\(121\) | − | 1.65753e6i | − | 0.935635i | ||||||
\(122\) | 2.23085e6 | − | 67942.7i | 1.22854 | − | 0.0374165i | ||||
\(123\) | 137348. | − | 137348.i | 0.0738087 | − | 0.0738087i | ||||
\(124\) | 503226. | − | 30681.0i | 0.263936 | − | 0.0160918i | ||||
\(125\) | −3.00311e6 | + | 3.00311e6i | −1.53759 | + | 1.53759i | ||||
\(126\) | −745045. | + | 791853.i | −0.372452 | + | 0.395852i | ||||
\(127\) | 2.20299e6i | 1.07548i | 0.843111 | + | 0.537740i | \(0.180722\pi\) | ||||
−0.843111 | + | 0.537740i | \(0.819278\pi\) | |||||||
\(128\) | 1.13570e6 | − | 1.76302e6i | 0.541543 | − | 0.840673i | ||||
\(129\) | −402953. | −0.187709 | ||||||||
\(130\) | 21482.9 | + | 20213.0i | 0.00977827 | + | 0.00920026i | ||||
\(131\) | 1.79275e6 | + | 1.79275e6i | 0.797455 | + | 0.797455i | 0.982694 | − | 0.185238i | \(-0.0593057\pi\) |
−0.185238 | + | 0.982694i | \(0.559306\pi\) | |||||||
\(132\) | −69348.8 | − | 1.13745e6i | −0.0301521 | − | 0.494551i | ||||
\(133\) | 1.53606e6 | + | 1.53606e6i | 0.652909 | + | 0.652909i | ||||
\(134\) | −73902.4 | − | 2.42652e6i | −0.0307145 | − | 1.00849i | ||||
\(135\) | −2.94202e6 | −1.19576 | ||||||||
\(136\) | −928187. | + | 1.11537e6i | −0.368993 | + | 0.443405i | ||||
\(137\) | − | 2.77226e6i | − | 1.07813i | −0.842263 | − | 0.539066i | \(-0.818777\pi\) | ||
0.842263 | − | 0.539066i | \(-0.181223\pi\) | |||||||
\(138\) | −18357.3 | − | 602746.i | −0.00698506 | − | 0.229349i | ||||
\(139\) | −550090. | + | 550090.i | −0.204828 | + | 0.204828i | −0.802065 | − | 0.597237i | \(-0.796265\pi\) |
0.597237 | + | 0.802065i | \(0.296265\pi\) | |||||||
\(140\) | 2.02920e6 | − | 2.29270e6i | 0.739503 | − | 0.835531i | ||||
\(141\) | 541489. | − | 541489.i | 0.193167 | − | 0.193167i | ||||
\(142\) | −1.60377e6 | − | 1.50897e6i | −0.560115 | − | 0.527005i | ||||
\(143\) | − | 30472.4i | − | 0.0104208i | ||||||
\(144\) | 316748. | + | 2.58797e6i | 0.106078 | + | 0.866706i | ||||
\(145\) | −35515.4 | −0.0116497 | ||||||||
\(146\) | −581305. | + | 617825.i | −0.186786 | + | 0.198521i | ||||
\(147\) | 489970. | + | 489970.i | 0.154247 | + | 0.154247i | ||||
\(148\) | −1.36568e6 | + | 1.54302e6i | −0.421272 | + | 0.475976i | ||||
\(149\) | −2.51113e6 | − | 2.51113e6i | −0.759121 | − | 0.759121i | 0.217041 | − | 0.976162i | \(-0.430359\pi\) |
−0.976162 | + | 0.217041i | \(0.930359\pi\) | |||||||
\(150\) | 2.65875e6 | − | 80974.9i | 0.787777 | − | 0.0239926i | ||||
\(151\) | 1.07459e6 | 0.312112 | 0.156056 | − | 0.987748i | \(-0.450122\pi\) | ||||
0.156056 | + | 0.987748i | \(0.450122\pi\) | |||||||
\(152\) | 5.18759e6 | − | 475156.i | 1.47718 | − | 0.135302i | ||||
\(153\) | − | 1.80403e6i | − | 0.503696i | ||||||
\(154\) | −3.16149e6 | + | 96286.4i | −0.865624 | + | 0.0263635i | ||||
\(155\) | 1.24809e6 | − | 1.24809e6i | 0.335159 | − | 0.335159i | ||||
\(156\) | −616.264 | − | 10107.9i | −0.000162328 | − | 0.00266248i | ||||
\(157\) | 2.31833e6 | − | 2.31833e6i | 0.599069 | − | 0.599069i | −0.340996 | − | 0.940065i | \(-0.610764\pi\) |
0.940065 | + | 0.340996i | \(0.110764\pi\) | |||||||
\(158\) | −3.49505e6 | + | 3.71463e6i | −0.886099 | + | 0.941769i | ||||
\(159\) | 2.57025e6i | 0.639416i | ||||||||
\(160\) | −1.11340e6 | − | 7.25721e6i | −0.271827 | − | 1.77178i | ||||
\(161\) | −1.67375e6 | −0.401063 | ||||||||
\(162\) | −1.96810e6 | − | 1.85176e6i | −0.462915 | − | 0.435551i | ||||
\(163\) | −60152.4 | − | 60152.4i | −0.0138896 | − | 0.0138896i | 0.700128 | − | 0.714017i | \(-0.253126\pi\) |
−0.714017 | + | 0.700128i | \(0.753126\pi\) | |||||||
\(164\) | −1.29046e6 | + | 78677.5i | −0.292558 | + | 0.0178369i | ||||
\(165\) | −2.82108e6 | − | 2.82108e6i | −0.628005 | − | 0.628005i | ||||
\(166\) | 160876. | + | 5.28223e6i | 0.0351695 | + | 1.15476i | ||||
\(167\) | 8.63569e6 | 1.85416 | 0.927081 | − | 0.374861i | \(-0.122309\pi\) | ||||
0.927081 | + | 0.374861i | \(0.122309\pi\) | |||||||
\(168\) | −1.04674e6 | + | 95875.6i | −0.220755 | + | 0.0202200i | ||||
\(169\) | 4.82654e6i | 0.999944i | ||||||||
\(170\) | 154650. | + | 5.07780e6i | 0.0314776 | + | 1.03354i | ||||
\(171\) | −4.57955e6 | + | 4.57955e6i | −0.915871 | + | 0.915871i | ||||
\(172\) | 2.00839e6 | + | 1.77756e6i | 0.394696 | + | 0.349333i | ||||
\(173\) | 2.87166e6 | − | 2.87166e6i | 0.554618 | − | 0.554618i | −0.373152 | − | 0.927770i | \(-0.621723\pi\) |
0.927770 | + | 0.373152i | \(0.121723\pi\) | |||||||
\(174\) | 8880.08 | + | 8355.16i | 0.00168566 | + | 0.00158601i | ||||
\(175\) | − | 7.38300e6i | − | 1.37759i | ||||||
\(176\) | −4.67204e6 | + | 5.97518e6i | −0.856976 | + | 1.09601i | ||||
\(177\) | 3.41879e6 | 0.616527 | ||||||||
\(178\) | 1.31732e6 | − | 1.40008e6i | 0.233578 | − | 0.248252i | ||||
\(179\) | −6.03905e6 | − | 6.03905e6i | −1.05296 | − | 1.05296i | −0.998517 | − | 0.0544379i | \(-0.982663\pi\) |
−0.0544379 | − | 0.998517i | \(-0.517337\pi\) | |||||||
\(180\) | 6.83536e6 | + | 6.04978e6i | 1.17204 | + | 1.03734i | ||||
\(181\) | 2.29298e6 | + | 2.29298e6i | 0.386691 | + | 0.386691i | 0.873505 | − | 0.486814i | \(-0.161841\pi\) |
−0.486814 | + | 0.873505i | \(0.661841\pi\) | |||||||
\(182\) | −28094.4 | + | 855.643i | −0.00466021 | + | 0.000141931i | ||||
\(183\) | −2.68256e6 | −0.437720 | ||||||||
\(184\) | −2.56742e6 | + | 3.08517e6i | −0.412139 | + | 0.495251i | ||||
\(185\) | 7.21407e6i | 1.13937i | ||||||||
\(186\) | −605684. | + | 18446.7i | −0.0941255 | + | 0.00286669i | ||||
\(187\) | 3.71099e6 | − | 3.71099e6i | 0.567499 | − | 0.567499i | ||||
\(188\) | −5.08757e6 | + | 310182.i | −0.765661 | + | 0.0466813i | ||||
\(189\) | 1.98231e6 | − | 1.98231e6i | 0.293621 | − | 0.293621i | ||||
\(190\) | 1.24975e7 | − | 1.32826e7i | 1.82206 | − | 1.93653i | ||||
\(191\) | 7.15510e6i | 1.02687i | 0.858128 | + | 0.513435i | \(0.171627\pi\) | ||||
−0.858128 | + | 0.513435i | \(0.828373\pi\) | |||||||
\(192\) | −1.42890e6 | + | 2.07649e6i | −0.201883 | + | 0.293376i | ||||
\(193\) | −1.93248e6 | −0.268809 | −0.134404 | − | 0.990927i | \(-0.542912\pi\) | ||||
−0.134404 | + | 0.990927i | \(0.542912\pi\) | |||||||
\(194\) | 5.06385e6 | + | 4.76451e6i | 0.693546 | + | 0.652549i | ||||
\(195\) | −25069.3 | − | 25069.3i | −0.00338095 | − | 0.00338095i | ||||
\(196\) | −280670. | − | 4.60352e6i | −0.0372759 | − | 0.611395i | ||||
\(197\) | 3.89019e6 | + | 3.89019e6i | 0.508830 | + | 0.508830i | 0.914167 | − | 0.405338i | \(-0.132846\pi\) |
−0.405338 | + | 0.914167i | \(0.632846\pi\) | |||||||
\(198\) | −287065. | − | 9.42555e6i | −0.0369815 | − | 1.21426i | ||||
\(199\) | −3.70221e6 | −0.469788 | −0.234894 | − | 0.972021i | \(-0.575474\pi\) | ||||
−0.234894 | + | 0.972021i | \(0.575474\pi\) | |||||||
\(200\) | −1.36089e7 | − | 1.13251e7i | −1.70111 | − | 1.41563i | ||||
\(201\) | 2.91786e6i | 0.359316i | ||||||||
\(202\) | 27978.3 | + | 918644.i | 0.00339443 | + | 0.111453i | ||||
\(203\) | 23930.0 | − | 23930.0i | 0.00286059 | − | 0.00286059i | ||||
\(204\) | 1.15591e6 | − | 1.30601e6i | 0.136155 | − | 0.153835i | ||||
\(205\) | −3.20056e6 | + | 3.20056e6i | −0.371505 | + | 0.371505i | ||||
\(206\) | −4.30239e6 | − | 4.04807e6i | −0.492162 | − | 0.463070i | ||||
\(207\) | − | 4.99005e6i | − | 0.562593i | ||||||
\(208\) | −41517.8 | + | 53098.0i | −0.00461364 | + | 0.00590049i | ||||
\(209\) | −1.88408e7 | −2.06377 | ||||||||
\(210\) | −2.52171e6 | + | 2.68013e6i | −0.272293 | + | 0.289400i | ||||
\(211\) | −6.80392e6 | − | 6.80392e6i | −0.724289 | − | 0.724289i | 0.245187 | − | 0.969476i | \(-0.421151\pi\) |
−0.969476 | + | 0.245187i | \(0.921151\pi\) | |||||||
\(212\) | 1.13382e7 | − | 1.28106e7i | 1.18998 | − | 1.34450i | ||||
\(213\) | 1.87151e6 | + | 1.87151e6i | 0.193666 | + | 0.193666i | ||||
\(214\) | 5.63387e6 | − | 171585.i | 0.574865 | − | 0.0175081i | ||||
\(215\) | 9.38983e6 | 0.944805 | ||||||||
\(216\) | −613198. | − | 6.69468e6i | −0.0608470 | − | 0.664307i | ||||
\(217\) | 1.68191e6i | 0.164597i | ||||||||
\(218\) | 1.27827e6 | − | 38931.0i | 0.123382 | − | 0.00375774i | ||||
\(219\) | 720968. | − | 720968.i | 0.0686410 | − | 0.0686410i | ||||
\(220\) | 1.61600e6 | + | 2.65055e7i | 0.151766 | + | 2.48925i | ||||
\(221\) | 32977.5 | − | 32977.5i | 0.00305521 | − | 0.00305521i | ||||
\(222\) | 1.69714e6 | − | 1.80377e6i | 0.155117 | − | 0.164862i | ||||
\(223\) | 1.17213e7i | 1.05696i | 0.848944 | + | 0.528482i | \(0.177239\pi\) | ||||
−0.848944 | + | 0.528482i | \(0.822761\pi\) | |||||||
\(224\) | 5.64006e6 | + | 4.13965e6i | 0.501810 | + | 0.368315i | ||||
\(225\) | 2.20114e7 | 1.93241 | ||||||||
\(226\) | 3.63061e6 | + | 3.41600e6i | 0.314524 | + | 0.295932i | ||||
\(227\) | −5.78763e6 | − | 5.78763e6i | −0.494792 | − | 0.494792i | 0.415020 | − | 0.909812i | \(-0.363775\pi\) |
−0.909812 | + | 0.415020i | \(0.863775\pi\) | |||||||
\(228\) | −6.24960e6 | + | 381030.i | −0.527288 | + | 0.0321480i | ||||
\(229\) | −4.21573e6 | − | 4.21573e6i | −0.351048 | − | 0.351048i | 0.509451 | − | 0.860499i | \(-0.329848\pi\) |
−0.860499 | + | 0.509451i | \(0.829848\pi\) | |||||||
\(230\) | 427771. | + | 1.40455e7i | 0.0351583 | + | 1.15439i | ||||
\(231\) | 3.80164e6 | 0.308415 | ||||||||
\(232\) | −7402.39 | − | 80816.7i | −0.000592799 | − | 0.00647198i | ||||
\(233\) | 1.68651e7i | 1.33328i | 0.745380 | + | 0.666640i | \(0.232268\pi\) | ||||
−0.745380 | + | 0.666640i | \(0.767732\pi\) | |||||||
\(234\) | −2550.98 | − | 83759.5i | −0.000199095 | − | 0.00653712i | ||||
\(235\) | −1.26181e7 | + | 1.26181e7i | −0.972275 | + | 0.972275i | ||||
\(236\) | −1.70398e7 | − | 1.50814e7i | −1.29637 | − | 1.14738i | ||||
\(237\) | 4.33477e6 | − | 4.33477e6i | 0.325627 | − | 0.325627i | ||||
\(238\) | −3.52559e6 | − | 3.31718e6i | −0.261517 | − | 0.246059i | ||||
\(239\) | − | 8.76368e6i | − | 0.641938i | −0.947090 | − | 0.320969i | \(-0.895992\pi\) | ||
0.947090 | − | 0.320969i | \(-0.104008\pi\) | |||||||
\(240\) | 1.07208e6 | + | 8.75934e6i | 0.0775518 | + | 0.633633i | ||||
\(241\) | 9.78461e6 | 0.699025 | 0.349512 | − | 0.936932i | \(-0.386347\pi\) | ||||
0.349512 | + | 0.936932i | \(0.386347\pi\) | |||||||
\(242\) | 9.08665e6 | − | 9.65752e6i | 0.641147 | − | 0.681427i | ||||
\(243\) | 9.06507e6 | + | 9.06507e6i | 0.631760 | + | 0.631760i | ||||
\(244\) | 1.33703e7 | + | 1.18337e7i | 0.920393 | + | 0.814612i | ||||
\(245\) | −1.14175e7 | − | 1.14175e7i | −0.776380 | − | 0.776380i | ||||
\(246\) | 1.55320e6 | − | 47304.3i | 0.104333 | − | 0.00317757i | ||||
\(247\) | −167428. | −0.0111106 | ||||||||
\(248\) | 3.10021e6 | + | 2.57994e6i | 0.203253 | + | 0.169143i | ||||
\(249\) | − | 6.35180e6i | − | 0.411433i | ||||||
\(250\) | −3.39605e7 | + | 1.03430e6i | −2.17347 | + | 0.0661955i | ||||
\(251\) | 1.28892e7 | − | 1.28892e7i | 0.815089 | − | 0.815089i | −0.170303 | − | 0.985392i | \(-0.554475\pi\) |
0.985392 | + | 0.170303i | \(0.0544745\pi\) | |||||||
\(252\) | −8.68192e6 | + | 529325.i | −0.542518 | + | 0.0330766i | ||||
\(253\) | 1.02648e7 | − | 1.02648e7i | 0.633855 | − | 0.633855i | ||||
\(254\) | −1.20769e7 | + | 1.28356e7i | −0.736976 | + | 0.783277i | ||||
\(255\) | − | 6.10598e6i | − | 0.368243i | ||||||
\(256\) | 1.62820e7 | − | 4.04619e6i | 0.970482 | − | 0.241172i | ||||
\(257\) | −2.14023e7 | −1.26084 | −0.630422 | − | 0.776252i | \(-0.717118\pi\) | ||||
−0.630422 | + | 0.776252i | \(0.717118\pi\) | |||||||
\(258\) | −2.34778e6 | − | 2.20900e6i | −0.136709 | − | 0.128628i | ||||
\(259\) | −4.86079e6 | − | 4.86079e6i | −0.279774 | − | 0.279774i | ||||
\(260\) | 14360.5 | + | 235539.i | 0.000817053 | + | 0.0134012i | ||||
\(261\) | 71344.1 | + | 71344.1i | 0.00401270 | + | 0.00401270i | ||||
\(262\) | 617444. | + | 2.02733e7i | 0.0343316 | + | 1.12725i | ||||
\(263\) | −785705. | −0.0431909 | −0.0215955 | − | 0.999767i | \(-0.506875\pi\) | ||||
−0.0215955 | + | 0.999767i | \(0.506875\pi\) | |||||||
\(264\) | 5.83148e6 | − | 7.00746e6i | 0.316933 | − | 0.380845i | ||||
\(265\) | − | 5.98933e7i | − | 3.21840i | ||||||
\(266\) | 529036. | + | 1.73705e7i | 0.0281086 | + | 0.922925i | ||||
\(267\) | −1.63382e6 | + | 1.63382e6i | −0.0858360 | + | 0.0858360i | ||||
\(268\) | 1.28717e7 | − | 1.45431e7i | 0.668700 | − | 0.755533i | ||||
\(269\) | −1.24683e7 | + | 1.24683e7i | −0.640546 | + | 0.640546i | −0.950690 | − | 0.310143i | \(-0.899623\pi\) |
0.310143 | + | 0.950690i | \(0.399623\pi\) | |||||||
\(270\) | −1.71415e7 | − | 1.61282e7i | −0.870879 | − | 0.819399i | ||||
\(271\) | 1.55043e7i | 0.779012i | 0.921024 | + | 0.389506i | \(0.127354\pi\) | ||||
−0.921024 | + | 0.389506i | \(0.872646\pi\) | |||||||
\(272\) | −1.15225e7 | + | 1.41026e6i | −0.572584 | + | 0.0700799i | ||||
\(273\) | 33783.1 | 0.00166039 | ||||||||
\(274\) | 1.51976e7 | − | 1.61524e7i | 0.738794 | − | 0.785209i | ||||
\(275\) | 4.52788e7 | + | 4.52788e7i | 2.17719 | + | 2.17719i | ||||
\(276\) | 3.19731e6 | − | 3.61250e6i | 0.152075 | − | 0.171823i | ||||
\(277\) | 1.24335e7 | + | 1.24335e7i | 0.584998 | + | 0.584998i | 0.936272 | − | 0.351275i | \(-0.114252\pi\) |
−0.351275 | + | 0.936272i | \(0.614252\pi\) | |||||||
\(278\) | −6.22068e6 | + | 189457.i | −0.289537 | + | 0.00881814i | ||||
\(279\) | −5.01438e6 | −0.230890 | ||||||||
\(280\) | 2.43916e7 | − | 2.23414e6i | 1.11113 | − | 0.101774i | ||||
\(281\) | − | 8.37508e6i | − | 0.377459i | −0.982029 | − | 0.188729i | \(-0.939563\pi\) | ||
0.982029 | − | 0.188729i | \(-0.0604369\pi\) | |||||||
\(282\) | 6.12341e6 | − | 186495.i | 0.273052 | − | 0.00831609i | ||||
\(283\) | 6.71417e6 | − | 6.71417e6i | 0.296233 | − | 0.296233i | −0.543304 | − | 0.839536i | \(-0.682827\pi\) |
0.839536 | + | 0.543304i | \(0.182827\pi\) | |||||||
\(284\) | −1.07206e6 | − | 1.75838e7i | −0.0468020 | − | 0.767641i | ||||
\(285\) | −1.55001e7 | + | 1.55001e7i | −0.669576 | + | 0.669576i | ||||
\(286\) | 167051. | − | 177546.i | 0.00714086 | − | 0.00758948i | ||||
\(287\) | − | 4.31303e6i | − | 0.182447i | ||||||
\(288\) | −1.23418e7 | + | 1.68151e7i | −0.516656 | + | 0.703917i | ||||
\(289\) | −1.61055e7 | −0.667236 | ||||||||
\(290\) | −206928. | − | 194696.i | −0.00848450 | − | 0.00798296i | ||||
\(291\) | −5.90923e6 | − | 5.90923e6i | −0.239801 | − | 0.239801i | ||||
\(292\) | −6.77387e6 | + | 412994.i | −0.272075 | + | 0.0165880i | ||||
\(293\) | 5.01259e6 | + | 5.01259e6i | 0.199278 | + | 0.199278i | 0.799691 | − | 0.600412i | \(-0.204997\pi\) |
−0.600412 | + | 0.799691i | \(0.704997\pi\) | |||||||
\(294\) | 168751. | + | 5.54080e6i | 0.00664056 | + | 0.218037i | ||||
\(295\) | −7.96664e7 | −3.10320 | ||||||||
\(296\) | −1.64159e7 | + | 1.50361e6i | −0.632979 | + | 0.0579776i | ||||
\(297\) | 2.43144e7i | 0.928099i | ||||||||
\(298\) | −864863. | − | 2.83971e7i | −0.0326812 | − | 1.07306i | ||||
\(299\) | 91217.8 | − | 91217.8i | 0.00341245 | − | 0.00341245i | ||||
\(300\) | 1.59349e7 | + | 1.41035e7i | 0.590183 | + | 0.522353i | ||||
\(301\) | −6.32680e6 | + | 6.32680e6i | −0.231998 | + | 0.231998i | ||||
\(302\) | 6.26101e6 | + | 5.89091e6i | 0.227313 | + | 0.213876i | ||||
\(303\) | − | 1.10466e6i | − | 0.0397099i | ||||||
\(304\) | 3.28300e7 | + | 2.56700e7i | 1.16856 | + | 0.913704i | ||||
\(305\) | 6.25104e7 | 2.20320 | ||||||||
\(306\) | 9.88973e6 | − | 1.05111e7i | 0.345160 | − | 0.366845i | ||||
\(307\) | 5.38397e6 | + | 5.38397e6i | 0.186075 | + | 0.186075i | 0.793997 | − | 0.607922i | \(-0.207997\pi\) |
−0.607922 | + | 0.793997i | \(0.707997\pi\) | |||||||
\(308\) | −1.89481e7 | − | 1.67704e7i | −0.648504 | − | 0.573971i | ||||
\(309\) | 5.02066e6 | + | 5.02066e6i | 0.170171 | + | 0.170171i | ||||
\(310\) | 1.41140e7 | − | 429856.i | 0.473766 | − | 0.0144290i | ||||
\(311\) | 4.70346e7 | 1.56364 | 0.781819 | − | 0.623506i | \(-0.214292\pi\) | ||||
0.781819 | + | 0.623506i | \(0.214292\pi\) | |||||||
\(312\) | 51821.1 | − | 62271.3i | 0.00170625 | − | 0.00205033i | ||||
\(313\) | 1.98492e7i | 0.647306i | 0.946176 | + | 0.323653i | \(0.104911\pi\) | ||||
−0.946176 | + | 0.323653i | \(0.895089\pi\) | |||||||
\(314\) | 2.62168e7 | − | 798460.i | 0.846819 | − | 0.0257908i | ||||
\(315\) | −2.15327e7 | + | 2.15327e7i | −0.688916 | + | 0.688916i | ||||
\(316\) | −4.07274e7 | + | 2.48310e6i | −1.29070 | + | 0.0786923i | ||||
\(317\) | −2.53957e7 | + | 2.53957e7i | −0.797229 | + | 0.797229i | −0.982658 | − | 0.185429i | \(-0.940633\pi\) |
0.185429 | + | 0.982658i | \(0.440633\pi\) | |||||||
\(318\) | −1.40902e7 | + | 1.49754e7i | −0.438162 | + | 0.465690i | ||||
\(319\) | 293518.i | 0.00904197i | ||||||||
\(320\) | 3.32970e7 | − | 4.83874e7i | 1.01615 | − | 1.47667i | ||||
\(321\) | −6.77465e6 | −0.204820 | ||||||||
\(322\) | −9.75199e6 | − | 9.17553e6i | −0.292096 | − | 0.274830i | ||||
\(323\) | −2.03896e7 | − | 2.03896e7i | −0.605065 | − | 0.605065i | ||||
\(324\) | −1.31560e6 | − | 2.15783e7i | −0.0386802 | − | 0.634428i | ||||
\(325\) | 402367. | + | 402367.i | 0.0117212 | + | 0.0117212i | ||||
\(326\) | −20717.2 | − | 680232.i | −0.000597968 | − | 0.0196338i | ||||
\(327\) | −1.53710e6 | −0.0439601 | ||||||||
\(328\) | −7.95009e6 | − | 6.61592e6i | −0.225294 | − | 0.187486i | ||||
\(329\) | − | 1.70039e7i | − | 0.477487i | ||||||
\(330\) | −971610. | − | 3.19021e7i | −0.0270365 | − | 0.887722i | ||||
\(331\) | 2.88736e7 | − | 2.88736e7i | 0.796189 | − | 0.796189i | −0.186303 | − | 0.982492i | \(-0.559651\pi\) |
0.982492 | + | 0.186303i | \(0.0596506\pi\) | |||||||
\(332\) | −2.80200e7 | + | 3.16585e7i | −0.765691 | + | 0.865119i | ||||
\(333\) | 1.44918e7 | − | 1.44918e7i | 0.392454 | − | 0.392454i | ||||
\(334\) | 5.03153e7 | + | 4.73411e7i | 1.35040 | + | 1.27057i | ||||
\(335\) | − | 6.79936e7i | − | 1.80856i | ||||||
\(336\) | −6.62434e6 | − | 5.17963e6i | −0.174632 | − | 0.136546i | ||||
\(337\) | −5.14079e7 | −1.34320 | −0.671599 | − | 0.740915i | \(-0.734392\pi\) | ||||
−0.671599 | + | 0.740915i | \(0.734392\pi\) | |||||||
\(338\) | −2.64592e7 | + | 2.81215e7i | −0.685215 | + | 0.728264i | ||||
\(339\) | −4.23672e6 | − | 4.23672e6i | −0.108750 | − | 0.108750i | ||||
\(340\) | −2.69356e7 | + | 3.04333e7i | −0.685314 | + | 0.774305i | ||||
\(341\) | −1.03149e7 | − | 1.03149e7i | −0.260136 | − | 0.260136i | ||||
\(342\) | −5.17877e7 | + | 1.57725e6i | −1.29464 | + | 0.0394295i | ||||
\(343\) | 4.05051e7 | 1.00375 | ||||||||
\(344\) | 1.95710e6 | + | 2.13669e7i | 0.0480770 | + | 0.524888i | ||||
\(345\) | − | 1.68895e7i | − | 0.411301i | ||||||
\(346\) | 3.24740e7 | − | 989030.i | 0.783985 | − | 0.0238771i | ||||
\(347\) | 8.11640e6 | − | 8.11640e6i | 0.194256 | − | 0.194256i | −0.603276 | − | 0.797532i | \(-0.706138\pi\) |
0.797532 | + | 0.603276i | \(0.206138\pi\) | |||||||
\(348\) | 5936.01 | + | 97361.7i | 0.000140850 | + | 0.00231020i | ||||
\(349\) | 2.31407e7 | − | 2.31407e7i | 0.544378 | − | 0.544378i | −0.380431 | − | 0.924809i | \(-0.624224\pi\) |
0.924809 | + | 0.380431i | \(0.124224\pi\) | |||||||
\(350\) | 4.04738e7 | − | 4.30166e7i | 0.943996 | − | 1.00330i | ||||
\(351\) | 216069.i | 0.00499655i | ||||||||
\(352\) | −5.99774e7 | + | 9.20175e6i | −1.37518 | + | 0.210980i | ||||
\(353\) | 7.13339e7 | 1.62171 | 0.810853 | − | 0.585250i | \(-0.199004\pi\) | ||||
0.810853 | + | 0.585250i | \(0.199004\pi\) | |||||||
\(354\) | 1.99193e7 | + | 1.87419e7i | 0.449020 | + | 0.422477i | ||||
\(355\) | −4.36110e7 | − | 4.36110e7i | −0.974789 | − | 0.974789i | ||||
\(356\) | 1.53506e7 | − | 935903.i | 0.340231 | − | 0.0207434i | ||||
\(357\) | 4.11416e6 | + | 4.11416e6i | 0.0904226 | + | 0.0904226i | ||||
\(358\) | −2.07992e6 | − | 6.82924e7i | −0.0453312 | − | 1.48841i | ||||
\(359\) | −7.03447e7 | −1.52037 | −0.760183 | − | 0.649709i | \(-0.774891\pi\) | ||||
−0.760183 | + | 0.649709i | \(0.774891\pi\) | |||||||
\(360\) | 6.66080e6 | + | 7.27203e7i | 0.142764 | + | 1.55865i | ||||
\(361\) | 5.64729e7i | 1.20038i | ||||||||
\(362\) | 789727. | + | 2.59301e7i | 0.0166476 | + | 0.546610i | ||||
\(363\) | −1.12698e7 | + | 1.12698e7i | −0.235611 | + | 0.235611i | ||||
\(364\) | −168381. | − | 149029.i | −0.00349131 | − | 0.00309005i | ||||
\(365\) | −1.68004e7 | + | 1.68004e7i | −0.345494 | + | 0.345494i | ||||
\(366\) | −1.56298e7 | − | 1.47059e7i | −0.318793 | − | 0.299949i | ||||
\(367\) | 3.10050e7i | 0.627239i | 0.949549 | + | 0.313620i | \(0.101542\pi\) | ||||
−0.949549 | + | 0.313620i | \(0.898458\pi\) | |||||||
\(368\) | −3.18719e7 | + | 3.90088e6i | −0.639536 | + | 0.0782742i | ||||
\(369\) | 1.28587e7 | 0.255928 | ||||||||
\(370\) | −3.95477e7 | + | 4.20323e7i | −0.780758 | + | 0.829809i | ||||
\(371\) | 4.03557e7 | + | 4.03557e7i | 0.790284 | + | 0.790284i | ||||
\(372\) | −3.63011e6 | − | 3.21290e6i | −0.0705164 | − | 0.0624120i | ||||
\(373\) | 6.29288e7 | + | 6.29288e7i | 1.21262 | + | 1.21262i | 0.970163 | + | 0.242452i | \(0.0779517\pi\) |
0.242452 | + | 0.970163i | \(0.422048\pi\) | |||||||
\(374\) | 4.19656e7 | − | 1.27811e6i | 0.802193 | − | 0.0244316i | ||||
\(375\) | 4.08371e7 | 0.774392 | ||||||||
\(376\) | −3.13428e7 | − | 2.60829e7i | −0.589623 | − | 0.490674i | ||||
\(377\) | 2608.33i | 4.86787e-5i | ||||||||
\(378\) | 2.24169e7 | − | 682731.i | 0.415050 | − | 0.0126408i | ||||
\(379\) | 5.96910e7 | − | 5.96910e7i | 1.09646 | − | 1.09646i | 0.101634 | − | 0.994822i | \(-0.467593\pi\) |
0.994822 | − | 0.101634i | \(-0.0324072\pi\) | |||||||
\(380\) | 1.45632e8 | − | 8.87896e6i | 2.65402 | − | 0.161812i | ||||
\(381\) | 1.49784e7 | − | 1.49784e7i | 0.270827 | − | 0.270827i | ||||
\(382\) | −3.92245e7 | + | 4.16888e7i | −0.703667 | + | 0.747875i | ||||
\(383\) | 5.76504e7i | 1.02614i | 0.858347 | + | 0.513069i | \(0.171492\pi\) | ||||
−0.858347 | + | 0.513069i | \(0.828508\pi\) | |||||||
\(384\) | −1.97088e7 | + | 4.26524e6i | −0.348069 | + | 0.0753268i | ||||
\(385\) | −8.85879e7 | −1.55236 | ||||||||
\(386\) | −1.12595e7 | − | 1.05939e7i | −0.195775 | − | 0.184202i | ||||
\(387\) | −1.88625e7 | − | 1.88625e7i | −0.325436 | − | 0.325436i | ||||
\(388\) | 3.38500e6 | + | 5.55203e7i | 0.0579513 | + | 0.950509i | ||||
\(389\) | −6.44525e7 | − | 6.44525e7i | −1.09494 | − | 1.09494i | −0.994992 | − | 0.0999496i | \(-0.968132\pi\) |
−0.0999496 | − | 0.994992i | \(-0.531868\pi\) | |||||||
\(390\) | −8634.16 | − | 283496.i | −0.000145555 | − | 0.00477917i | ||||
\(391\) | 2.22173e7 | 0.371674 | ||||||||
\(392\) | 2.36013e7 | − | 2.83608e7i | 0.391812 | − | 0.470825i | ||||
\(393\) | − | 2.43783e7i | − | 0.401630i | ||||||
\(394\) | 1.33983e6 | + | 4.39921e7i | 0.0219058 | + | 0.719260i | ||||
\(395\) | −1.01011e8 | + | 1.01011e8i | −1.63900 | + | 1.63900i | ||||
\(396\) | 4.99985e7 | − | 5.64911e7i | 0.805141 | − | 0.909692i | ||||
\(397\) | 3.32033e7 | − | 3.32033e7i | 0.530652 | − | 0.530652i | −0.390114 | − | 0.920766i | \(-0.627565\pi\) |
0.920766 | + | 0.390114i | \(0.127565\pi\) | |||||||
\(398\) | −2.15707e7 | − | 2.02956e7i | −0.342149 | − | 0.321924i | ||||
\(399\) | − | 2.08877e7i | − | 0.328831i | ||||||
\(400\) | −1.72070e7 | − | 1.40589e8i | −0.268859 | − | 2.19670i | ||||
\(401\) | −6.57507e7 | −1.01969 | −0.509844 | − | 0.860267i | \(-0.670297\pi\) | ||||
−0.509844 | + | 0.860267i | \(0.670297\pi\) | |||||||
\(402\) | −1.59958e7 | + | 1.70007e7i | −0.246222 | + | 0.261691i | ||||
\(403\) | −91662.4 | − | 91662.4i | −0.00140048 | − | 0.00140048i | ||||
\(404\) | −4.87302e6 | + | 5.50580e6i | −0.0739016 | + | 0.0834980i | ||||
\(405\) | −5.35180e7 | − | 5.35180e7i | −0.805628 | − | 0.805628i | ||||
\(406\) | 270612. | − | 8241.77i | 0.00404361 | − | 0.000123152i | ||||
\(407\) | 5.96209e7 | 0.884332 | ||||||||
\(408\) | 1.38944e7 | − | 1.27265e6i | 0.204578 | − | 0.0187383i | ||||
\(409\) | 3.16009e7i | 0.461881i | 0.972968 | + | 0.230940i | \(0.0741802\pi\) | ||||
−0.972968 | + | 0.230940i | \(0.925820\pi\) | |||||||
\(410\) | −3.61934e7 | + | 1.10231e6i | −0.525144 | + | 0.0159938i | ||||
\(411\) | −1.88490e7 | + | 1.88490e7i | −0.271495 | + | 0.271495i | ||||
\(412\) | −2.87599e6 | − | 4.71717e7i | −0.0411241 | − | 0.674512i | ||||
\(413\) | 5.36787e7 | − | 5.36787e7i | 0.761994 | − | 0.761994i | ||||
\(414\) | 2.73556e7 | − | 2.90742e7i | 0.385518 | − | 0.409739i | ||||
\(415\) | 1.48013e8i | 2.07088i | ||||||||
\(416\) | −532986. | + | 81770.7i | −0.00740347 | + | 0.00113584i | ||||
\(417\) | 7.48028e6 | 0.103160 | ||||||||
\(418\) | −1.09775e8 | − | 1.03286e8i | −1.50305 | − | 1.41420i | ||||
\(419\) | −3.02706e7 | − | 3.02706e7i | −0.411509 | − | 0.411509i | 0.470755 | − | 0.882264i | \(-0.343982\pi\) |
−0.882264 | + | 0.470755i | \(0.843982\pi\) | |||||||
\(420\) | −2.93851e7 | + | 1.79157e6i | −0.396625 | + | 0.0241817i | ||||
\(421\) | 1.29835e7 | + | 1.29835e7i | 0.173999 | + | 0.173999i | 0.788734 | − | 0.614735i | \(-0.210737\pi\) |
−0.614735 | + | 0.788734i | \(0.710737\pi\) | |||||||
\(422\) | −2.34335e6 | − | 7.69419e7i | −0.0311816 | − | 1.02382i | ||||
\(423\) | 5.06949e7 | 0.669797 | ||||||||
\(424\) | 1.36289e8 | − | 1.24834e7i | 1.78799 | − | 0.163770i | ||||
\(425\) | 9.80020e7i | 1.27664i | ||||||||
\(426\) | 644569. | + | 2.11639e7i | 0.00833760 | + | 0.273758i | ||||
\(427\) | −4.21191e7 | + | 4.21191e7i | −0.540998 | + | 0.540998i | ||||
\(428\) | 3.37660e7 | + | 2.98853e7i | 0.430674 | + | 0.381177i | ||||
\(429\) | −207186. | + | 207186.i | −0.00262415 | + | 0.00262415i | ||||
\(430\) | 5.47093e7 | + | 5.14753e7i | 0.688106 | + | 0.647431i | ||||
\(431\) | − | 1.28691e8i | − | 1.60737i | −0.595054 | − | 0.803686i | \(-0.702869\pi\) | ||
0.595054 | − | 0.803686i | \(-0.297131\pi\) | |||||||
\(432\) | 3.31277e7 | − | 4.23677e7i | 0.410903 | − | 0.525513i | ||||
\(433\) | 4.42637e7 | 0.545236 | 0.272618 | − | 0.962122i | \(-0.412110\pi\) | ||||
0.272618 | + | 0.962122i | \(0.412110\pi\) | |||||||
\(434\) | −9.22026e6 | + | 9.79953e6i | −0.112791 | + | 0.119877i | ||||
\(435\) | 241474. | + | 241474.i | 0.00293361 | + | 0.00293361i | ||||
\(436\) | 7.66118e6 | + | 6.78068e6i | 0.0924349 | + | 0.0818114i | ||||
\(437\) | −5.63990e7 | − | 5.63990e7i | −0.675814 | − | 0.675814i | ||||
\(438\) | 8.15304e6 | − | 248309.i | 0.0970281 | − | 0.00295509i | ||||
\(439\) | 2.93985e7 | 0.347481 | 0.173741 | − | 0.984791i | \(-0.444415\pi\) | ||||
0.173741 | + | 0.984791i | \(0.444415\pi\) | |||||||
\(440\) | −1.35888e8 | + | 1.63292e8i | −1.59523 | + | 1.91693i | ||||
\(441\) | 4.58716e7i | 0.534845i | ||||||||
\(442\) | 372925. | − | 11357.8i | 0.00431871 | − | 0.000131531i | ||||
\(443\) | 7.00084e6 | − | 7.00084e6i | 0.0805265 | − | 0.0805265i | −0.665696 | − | 0.746223i | \(-0.731865\pi\) |
0.746223 | + | 0.665696i | \(0.231865\pi\) | |||||||
\(444\) | 1.97766e7 | − | 1.20575e6i | 0.225945 | − | 0.0137756i | ||||
\(445\) | 3.80721e7 | − | 3.80721e7i | 0.432043 | − | 0.432043i | ||||
\(446\) | −6.42563e7 | + | 6.82933e7i | −0.724288 | + | 0.769792i | ||||
\(447\) | 3.41471e7i | 0.382323i | ||||||||
\(448\) | 1.01678e7 | + | 5.50384e7i | 0.113081 | + | 0.612113i | ||||
\(449\) | 1.34157e7 | 0.148209 | 0.0741043 | − | 0.997250i | \(-0.476390\pi\) | ||||
0.0741043 | + | 0.997250i | \(0.476390\pi\) | |||||||
\(450\) | 1.28248e8 | + | 1.20667e8i | 1.40739 | + | 1.32419i | ||||
\(451\) | 2.64511e7 | + | 2.64511e7i | 0.288347 | + | 0.288347i | ||||
\(452\) | 2.42693e6 | + | 3.98062e7i | 0.0262810 | + | 0.431058i | ||||
\(453\) | −7.30626e6 | − | 7.30626e6i | −0.0785960 | − | 0.0785960i | ||||
\(454\) | −1.99332e6 | − | 6.54492e7i | −0.0213015 | − | 0.699418i | ||||
\(455\) | −787231. | −0.00835734 | ||||||||
\(456\) | −3.85017e7 | − | 3.20404e7i | −0.406056 | − | 0.337912i | ||||
\(457\) | − | 1.61973e8i | − | 1.69705i | −0.529156 | − | 0.848524i | \(-0.677491\pi\) | ||
0.529156 | − | 0.848524i | \(-0.322509\pi\) | |||||||
\(458\) | −1.45194e6 | − | 4.76734e7i | −0.0151131 | − | 0.496227i | ||||
\(459\) | −2.63132e7 | + | 2.63132e7i | −0.272105 | + | 0.272105i | ||||
\(460\) | −7.45054e7 | + | 8.41803e7i | −0.765446 | + | 0.864842i | ||||
\(461\) | −1.16319e7 | + | 1.16319e7i | −0.118727 | + | 0.118727i | −0.763974 | − | 0.645247i | \(-0.776754\pi\) |
0.645247 | + | 0.763974i | \(0.276754\pi\) | |||||||
\(462\) | 2.21500e7 | + | 2.08407e7i | 0.224620 | + | 0.211342i | ||||
\(463\) | 4.02011e7i | 0.405037i | 0.979278 | + | 0.202519i | \(0.0649127\pi\) | ||||
−0.979278 | + | 0.202519i | \(0.935087\pi\) | |||||||
\(464\) | 399910. | − | 511453.i | 0.00400321 | − | 0.00511979i | ||||
\(465\) | −1.69718e7 | −0.168799 | ||||||||
\(466\) | −9.24550e7 | + | 9.82635e7i | −0.913634 | + | 0.971034i | ||||
\(467\) | −3.28960e7 | − | 3.28960e7i | −0.322992 | − | 0.322992i | 0.526922 | − | 0.849914i | \(-0.323346\pi\) |
−0.849914 | + | 0.526922i | \(0.823346\pi\) | |||||||
\(468\) | 444309. | − | 502004.i | 0.00433458 | − | 0.00489745i | ||||
\(469\) | 4.58136e7 | + | 4.58136e7i | 0.444095 | + | 0.444095i | ||||
\(470\) | −1.42691e8 | + | 4.34580e6i | −1.37437 | + | 0.0418578i | ||||
\(471\) | −3.15253e7 | −0.301715 | ||||||||
\(472\) | −1.66047e7 | − | 1.81284e8i | −0.157908 | − | 1.72398i | ||||
\(473\) | − | 7.76025e7i | − | 0.733318i | ||||||
\(474\) | 4.90196e7 | − | 1.49294e6i | 0.460293 | − | 0.0140187i | ||||
\(475\) | 2.48779e8 | − | 2.48779e8i | 2.32131 | − | 2.32131i | ||||
\(476\) | −2.35673e6 | − | 3.86547e7i | −0.0218518 | − | 0.358411i | ||||
\(477\) | −1.20315e8 | + | 1.20315e8i | −1.10857 | + | 1.10857i | ||||
\(478\) | 4.80427e7 | − | 5.10610e7i | 0.439890 | − | 0.467526i | ||||
\(479\) | 4.78638e7i | 0.435512i | 0.976003 | + | 0.217756i | \(0.0698738\pi\) | ||||
−0.976003 | + | 0.217756i | \(0.930126\pi\) | |||||||
\(480\) | −4.17726e7 | + | 5.69129e7i | −0.377718 | + | 0.514620i | ||||
\(481\) | 529817. | 0.00476092 | ||||||||
\(482\) | 5.70094e7 | + | 5.36395e7i | 0.509103 | + | 0.479009i | ||||
\(483\) | 1.13800e7 | + | 1.13800e7i | 0.100996 | + | 0.100996i | ||||
\(484\) | 1.05886e8 | − | 6.45570e6i | 0.933901 | − | 0.0569387i | ||||
\(485\) | 1.37700e8 | + | 1.37700e8i | 1.20700 | + | 1.20700i | ||||
\(486\) | 3.12211e6 | + | 1.02512e8i | 0.0271982 | + | 0.893030i | ||||
\(487\) | −6.83549e7 | −0.591810 | −0.295905 | − | 0.955217i | \(-0.595621\pi\) | ||||
−0.295905 | + | 0.955217i | \(0.595621\pi\) | |||||||
\(488\) | 1.30289e7 | + | 1.42245e8i | 0.112111 | + | 1.22399i | ||||
\(489\) | 817969.i | 0.00699536i | ||||||||
\(490\) | −3.93233e6 | − | 1.29115e8i | −0.0334242 | − | 1.09746i | ||||
\(491\) | −4.09317e7 | + | 4.09317e7i | −0.345793 | + | 0.345793i | −0.858540 | − | 0.512747i | \(-0.828628\pi\) |
0.512747 | + | 0.858540i | \(0.328628\pi\) | |||||||
\(492\) | 9.30893e6 | + | 8.23906e6i | 0.0781636 | + | 0.0691803i | ||||
\(493\) | −317647. | + | 317647.i | −0.00265097 | + | 0.00265097i | ||||
\(494\) | −975506. | − | 917842.i | −0.00809188 | − | 0.00761355i | ||||
\(495\) | − | 2.64113e8i | − | 2.17758i | ||||||
\(496\) | 3.91989e6 | + | 3.20273e7i | 0.0321240 | + | 0.262467i | ||||
\(497\) | 5.87695e7 | 0.478721 | ||||||||
\(498\) | 3.48208e7 | − | 3.70084e7i | 0.281936 | − | 0.299648i | ||||
\(499\) | 3.26564e7 | + | 3.26564e7i | 0.262825 | + | 0.262825i | 0.826201 | − | 0.563376i | \(-0.190498\pi\) |
−0.563376 | + | 0.826201i | \(0.690498\pi\) | |||||||
\(500\) | −2.03539e8 | − | 1.80146e8i | −1.62831 | − | 1.44117i | ||||
\(501\) | −5.87152e7 | − | 5.87152e7i | −0.466915 | − | 0.466915i | ||||
\(502\) | 1.45757e8 | − | 4.43919e6i | 1.15218 | − | 0.0350907i | ||||
\(503\) | −2.43128e8 | −1.91043 | −0.955216 | − | 0.295908i | \(-0.904378\pi\) | ||||
−0.955216 | + | 0.295908i | \(0.904378\pi\) | |||||||
\(504\) | −5.34864e7 | − | 4.45104e7i | −0.417784 | − | 0.347672i | ||||
\(505\) | 2.57413e7i | 0.199874i | ||||||||
\(506\) | 1.16079e8 | − | 3.53532e6i | 0.895991 | − | 0.0272884i | ||||
\(507\) | 3.28163e7 | − | 3.28163e7i | 0.251806 | − | 0.251806i | ||||
\(508\) | −1.40730e8 | + | 8.58013e6i | −1.07349 | + | 0.0654490i | ||||
\(509\) | −9.12226e6 | + | 9.12226e6i | −0.0691750 | + | 0.0691750i | −0.740848 | − | 0.671673i | \(-0.765576\pi\) |
0.671673 | + | 0.740848i | \(0.265576\pi\) | |||||||
\(510\) | 3.34731e7 | − | 3.55761e7i | 0.252340 | − | 0.268193i | ||||
\(511\) | − | 2.26400e7i | − | 0.169673i | ||||||
\(512\) | 1.17047e8 | + | 6.56834e7i | 0.872071 | + | 0.489380i | ||||
\(513\) | 1.33593e8 | 0.989536 | ||||||||
\(514\) | −1.24699e8 | − | 1.17328e8i | −0.918279 | − | 0.863998i | ||||
\(515\) | −1.16994e8 | − | 1.16994e8i | −0.856529 | − | 0.856529i | ||||
\(516\) | −1.56941e6 | − | 2.57412e7i | −0.0114232 | − | 0.187361i | ||||
\(517\) | 1.04282e8 | + | 1.04282e8i | 0.754639 | + | 0.754639i | ||||
\(518\) | −1.67411e6 | − | 5.49681e7i | −0.0120447 | − | 0.395477i | ||||
\(519\) | −3.90495e7 | −0.279328 | ||||||||
\(520\) | −1.20756e6 | + | 1.45108e6i | −0.00858815 | + | 0.0103200i | ||||
\(521\) | 1.20851e8i | 0.854548i | 0.904122 | + | 0.427274i | \(0.140526\pi\) | ||||
−0.904122 | + | 0.427274i | \(0.859474\pi\) | |||||||
\(522\) | 24571.7 | + | 806793.i | 0.000172752 | + | 0.00567219i | ||||
\(523\) | −1.56314e8 | + | 1.56314e8i | −1.09268 | + | 1.09268i | −0.0974367 | + | 0.995242i | \(0.531064\pi\) |
−0.995242 | + | 0.0974367i | \(0.968936\pi\) | |||||||
\(524\) | −1.07541e8 | + | 1.21506e8i | −0.747448 | + | 0.844507i | ||||
\(525\) | −5.01980e7 | + | 5.01980e7i | −0.346903 | + | 0.346903i | ||||
\(526\) | −4.57786e6 | − | 4.30726e6i | −0.0314562 | − | 0.0295967i | ||||
\(527\) | − | 2.23256e7i | − | 0.152536i | ||||||
\(528\) | 7.23918e7 | − | 8.86020e6i | 0.491799 | − | 0.0601924i | ||||
\(529\) | −8.65814e7 | −0.584867 | ||||||||
\(530\) | 3.28337e8 | − | 3.48965e8i | 2.20542 | − | 2.34398i | ||||
\(531\) | 1.60036e8 | + | 1.60036e8i | 1.06889 | + | 1.06889i | ||||
\(532\) | −9.21429e7 | + | 1.04108e8i | −0.611966 | + | 0.691432i | ||||
\(533\) | 235056. | + | 235056.i | 0.00155235 | + | 0.00155235i | ||||
\(534\) | −1.84760e7 | + | 562705.i | −0.121334 | + | 0.00369536i | ||||
\(535\) | 1.57866e8 | 1.03093 | ||||||||
\(536\) | 1.54722e8 | − | 1.41717e7i | 1.00475 | − | 0.0920297i | ||||
\(537\) | 8.21207e7i | 0.530310i | ||||||||
\(538\) | −1.40997e8 | + | 4.29422e6i | −0.905450 | + | 0.0275764i | ||||
\(539\) | −9.43605e7 | + | 9.43605e7i | −0.602593 | + | 0.602593i | ||||
\(540\) | −1.14585e7 | − | 1.87940e8i | −0.0727688 | − | 1.19354i | ||||
\(541\) | −1.95480e8 | + | 1.95480e8i | −1.23455 | + | 1.23455i | −0.272359 | + | 0.962196i | \(0.587804\pi\) |
−0.962196 | + | 0.272359i | \(0.912196\pi\) | |||||||
\(542\) | −8.49950e7 | + | 9.03348e7i | −0.533821 | + | 0.567358i | ||||
\(543\) | − | 3.11805e7i | − | 0.194753i | ||||||
\(544\) | −7.48662e7 | − | 5.49498e7i | −0.465038 | − | 0.341326i | ||||
\(545\) | 3.58183e7 | 0.221267 | ||||||||
\(546\) | 196835. | + | 185200.i | 0.00120927 | + | 0.00113779i | ||||
\(547\) | 1.05737e8 | + | 1.05737e8i | 0.646050 | + | 0.646050i | 0.952036 | − | 0.305986i | \(-0.0989862\pi\) |
−0.305986 | + | 0.952036i | \(0.598986\pi\) | |||||||
\(548\) | 1.77096e8 | − | 1.07973e7i | 1.07613 | − | 0.0656104i | ||||
\(549\) | −1.25572e8 | − | 1.25572e8i | −0.758887 | − | 0.758887i | ||||
\(550\) | 1.55945e7 | + | 5.12033e8i | 0.0937311 | + | 3.07759i | ||||
\(551\) | 1.61270e6 | 0.00964051 | ||||||||
\(552\) | 3.84327e7 | − | 3.52024e6i | 0.228499 | − | 0.0209293i | ||||
\(553\) | − | 1.36121e8i | − | 0.804916i | ||||||
\(554\) | 4.28224e6 | + | 1.40604e8i | 0.0251850 | + | 0.826929i | ||||
\(555\) | 4.90494e7 | − | 4.90494e7i | 0.286916 | − | 0.286916i | ||||
\(556\) | −3.72830e7 | − | 3.29981e7i | −0.216913 | − | 0.191984i | ||||
\(557\) | 9.55244e7 | − | 9.55244e7i | 0.552776 | − | 0.552776i | −0.374465 | − | 0.927241i | \(-0.622174\pi\) |
0.927241 | + | 0.374465i | \(0.122174\pi\) | |||||||
\(558\) | −2.92160e7 | − | 2.74890e7i | −0.168158 | − | 0.158218i | ||||
\(559\) | − | 689610.i | − | 0.00394792i | ||||||
\(560\) | 1.54364e8 | + | 1.20698e8i | 0.878985 | + | 0.687286i | ||||
\(561\) | −5.04630e7 | −0.285815 | ||||||||
\(562\) | 4.59124e7 | − | 4.87969e7i | 0.258655 | − | 0.274905i | ||||
\(563\) | 7.31393e7 | + | 7.31393e7i | 0.409851 | + | 0.409851i | 0.881686 | − | 0.471836i | \(-0.156408\pi\) |
−0.471836 | + | 0.881686i | \(0.656408\pi\) | |||||||
\(564\) | 3.67000e7 | + | 3.24821e7i | 0.204564 | + | 0.181053i | ||||
\(565\) | 9.87264e7 | + | 9.87264e7i | 0.547379 | + | 0.547379i | ||||
\(566\) | 7.59270e7 | − | 2.31244e6i | 0.418742 | − | 0.0127532i | ||||
\(567\) | 7.21201e7 | 0.395646 | ||||||||
\(568\) | 9.01487e7 | − | 1.08328e8i | 0.491942 | − | 0.591148i | ||||
\(569\) | − | 2.55687e8i | − | 1.38794i | −0.720002 | − | 0.693972i | \(-0.755859\pi\) | ||
0.720002 | − | 0.693972i | \(-0.244141\pi\) | |||||||
\(570\) | −1.75282e8 | + | 5.33841e6i | −0.946485 | + | 0.0288262i | ||||
\(571\) | 1.59086e8 | − | 1.59086e8i | 0.854524 | − | 0.854524i | −0.136163 | − | 0.990686i | \(-0.543477\pi\) |
0.990686 | + | 0.136163i | \(0.0434770\pi\) | |||||||
\(572\) | 1.94662e6 | − | 118683.i | 0.0104014 | − | 0.000634162i | ||||
\(573\) | 4.86485e7 | − | 4.86485e7i | 0.258586 | − | 0.258586i | ||||
\(574\) | 2.36442e7 | − | 2.51296e7i | 0.125022 | − | 0.132877i | ||||
\(575\) | 2.71080e8i | 1.42591i | ||||||||
\(576\) | −1.64089e8 | + | 3.03138e7i | −0.858644 | + | 0.158625i | ||||
\(577\) | −1.52809e8 | −0.795464 | −0.397732 | − | 0.917502i | \(-0.630203\pi\) | ||||
−0.397732 | + | 0.917502i | \(0.630203\pi\) | |||||||
\(578\) | −9.38374e7 | − | 8.82905e7i | −0.485951 | − | 0.457226i | ||||
\(579\) | 1.31392e7 | + | 1.31392e7i | 0.0676913 | + | 0.0676913i | ||||
\(580\) | −138324. | − | 2.26877e6i | −0.000708947 | − | 0.0116281i | ||||
\(581\) | −9.97302e7 | − | 9.97302e7i | −0.508508 | − | 0.508508i | ||||
\(582\) | −2.03520e6 | − | 6.68243e7i | −0.0103238 | − | 0.338973i | ||||
\(583\) | −4.94990e8 | −2.49799 | ||||||||
\(584\) | −4.17316e7 | − | 3.47283e7i | −0.209520 | − | 0.174359i | ||||
\(585\) | − | 2.34702e6i | − | 0.0117233i | ||||||
\(586\) | 1.72639e6 | + | 5.66847e7i | 0.00857920 | + | 0.281691i | ||||
\(587\) | 1.42595e8 | − | 1.42595e8i | 0.705002 | − | 0.705002i | −0.260478 | − | 0.965480i | \(-0.583880\pi\) |
0.965480 | + | 0.260478i | \(0.0838802\pi\) | |||||||
\(588\) | −2.93916e7 | + | 3.32083e7i | −0.144574 | + | 0.163348i | ||||
\(589\) | −5.66739e7 | + | 5.66739e7i | −0.277356 | + | 0.277356i | ||||
\(590\) | −4.64171e8 | − | 4.36733e8i | −2.26007 | − | 2.12648i | ||||
\(591\) | − | 5.28999e7i | − | 0.256267i | ||||||
\(592\) | −1.03889e8 | − | 8.12317e7i | −0.500731 | − | 0.391526i | ||||
\(593\) | 3.24485e8 | 1.55607 | 0.778037 | − | 0.628219i | \(-0.216216\pi\) | ||||
0.778037 | + | 0.628219i | \(0.216216\pi\) | |||||||
\(594\) | −1.33292e8 | + | 1.41666e8i | −0.635983 | + | 0.675939i | ||||
\(595\) | −9.58705e7 | − | 9.58705e7i | −0.455128 | − | 0.455128i | ||||
\(596\) | 1.50634e8 | − | 1.70195e8i | 0.711517 | − | 0.803911i | ||||
\(597\) | 2.51718e7 | + | 2.51718e7i | 0.118302 | + | 0.118302i | ||||
\(598\) | 1.03153e6 | − | 31416.4i | 0.00482369 | − | 0.000146911i | ||||
\(599\) | 1.79608e8 | 0.835689 | 0.417844 | − | 0.908519i | \(-0.362786\pi\) | ||||
0.417844 | + | 0.908519i | \(0.362786\pi\) | |||||||
\(600\) | 1.55280e7 | + | 1.69529e8i | 0.0718888 | + | 0.784857i | ||||
\(601\) | − | 2.78315e8i | − | 1.28207i | −0.767510 | − | 0.641037i | \(-0.778505\pi\) | ||
0.767510 | − | 0.641037i | \(-0.221495\pi\) | |||||||
\(602\) | −7.15464e7 | + | 2.17902e6i | −0.327943 | + | 0.00998785i | ||||
\(603\) | −1.36587e8 | + | 1.36587e8i | −0.622956 | + | 0.622956i | ||||
\(604\) | 4.18526e6 | + | 6.86461e7i | 0.0189938 | + | 0.311534i | ||||
\(605\) | 2.62615e8 | − | 2.62615e8i | 1.18591 | − | 1.18591i | ||||
\(606\) | 6.05575e6 | − | 6.43621e6i | 0.0272114 | − | 0.0289209i | ||||
\(607\) | − | 1.38550e8i | − | 0.619499i | −0.950818 | − | 0.309750i | \(-0.899755\pi\) | ||
0.950818 | − | 0.309750i | \(-0.100245\pi\) | |||||||
\(608\) | 5.05580e7 | + | 3.29540e8i | 0.224947 | + | 1.46621i | ||||
\(609\) | −325407. | −0.00144070 | ||||||||
\(610\) | 3.64213e8 | + | 3.42684e8i | 1.60460 | + | 1.50975i | ||||
\(611\) | 926698. | + | 926698.i | 0.00406270 | + | 0.00406270i | ||||
\(612\) | 1.15244e8 | − | 7.02626e6i | 0.502763 | − | 0.0306528i | ||||
\(613\) | −6.90262e7 | − | 6.90262e7i | −0.299663 | − | 0.299663i | 0.541219 | − | 0.840882i | \(-0.317963\pi\) |
−0.840882 | + | 0.541219i | \(0.817963\pi\) | |||||||
\(614\) | 1.85430e6 | + | 6.08845e7i | 0.00801078 | + | 0.263028i | ||||
\(615\) | 4.35221e7 | 0.187105 | ||||||||
\(616\) | −1.84642e7 | − | 2.01585e8i | −0.0789928 | − | 0.862415i | ||||
\(617\) | − | 1.22553e8i | − | 0.521758i | −0.965372 | − | 0.260879i | \(-0.915988\pi\) | ||
0.965372 | − | 0.260879i | \(-0.0840124\pi\) | |||||||
\(618\) | 1.72917e6 | + | 5.67759e7i | 0.00732609 | + | 0.240546i | ||||
\(619\) | 9.63080e7 | − | 9.63080e7i | 0.406060 | − | 0.406060i | −0.474302 | − | 0.880362i | \(-0.657300\pi\) |
0.880362 | + | 0.474302i | \(0.157300\pi\) | |||||||
\(620\) | 8.45907e7 | + | 7.48686e7i | 0.354934 | + | 0.314141i | ||||
\(621\) | −7.27840e7 | + | 7.27840e7i | −0.303921 | + | 0.303921i | ||||
\(622\) | 2.74044e8 | + | 2.57845e8i | 1.13880 | + | 1.07149i | ||||
\(623\) | 5.13054e7i | 0.212177i | ||||||||
\(624\) | 643305. | − | 78735.6i | 0.00264767 | − | 0.000324054i | ||||
\(625\) | −4.11301e8 | −1.68469 | ||||||||
\(626\) | −1.08814e8 | + | 1.15650e8i | −0.443568 | + | 0.471436i | ||||
\(627\) | 1.28101e8 | + | 1.28101e8i | 0.519697 | + | 0.519697i | ||||
\(628\) | 1.57128e8 | + | 1.39069e8i | 0.634415 | + | 0.561502i | ||||
\(629\) | 6.45221e7 | + | 6.45221e7i | 0.259273 | + | 0.259273i | ||||
\(630\) | −2.43501e8 | + | 7.41609e6i | −0.973823 | + | 0.0296588i | ||||
\(631\) | 4.49697e8 | 1.78991 | 0.894957 | − | 0.446153i | \(-0.147206\pi\) | ||||
0.894957 | + | 0.446153i | \(0.147206\pi\) | |||||||
\(632\) | −2.50908e8 | − | 2.08801e8i | −0.993948 | − | 0.827145i | ||||
\(633\) | 9.25215e7i | 0.364780i | ||||||||
\(634\) | −2.87187e8 | + | 8.74658e6i | −1.12693 | + | 0.0343218i | ||||
\(635\) | −3.49036e8 | + | 3.49036e8i | −1.36317 | + | 1.36317i | ||||
\(636\) | −1.64191e8 | + | 1.00105e7i | −0.638231 | + | 0.0389121i | ||||
\(637\) | −838529. | + | 838529.i | −0.00324414 | + | 0.00324414i | ||||
\(638\) | −1.60907e6 | + | 1.71017e6i | −0.00619604 | + | 0.00658531i | ||||
\(639\) | 1.75213e8i | 0.671528i | ||||||||
\(640\) | 4.59264e8 | − | 9.93908e7i | 1.75195 | − | 0.379146i | ||||
\(641\) | 1.60286e8 | 0.608586 | 0.304293 | − | 0.952579i | \(-0.401580\pi\) | ||||
0.304293 | + | 0.952579i | \(0.401580\pi\) | |||||||
\(642\) | −3.94721e7 | − | 3.71388e7i | −0.149171 | − | 0.140353i | ||||
\(643\) | −2.80798e8 | − | 2.80798e8i | −1.05624 | − | 1.05624i | −0.998322 | − | 0.0579139i | \(-0.981555\pi\) |
−0.0579139 | − | 0.998322i | \(-0.518445\pi\) | |||||||
\(644\) | −6.51885e6 | − | 1.06921e8i | −0.0244069 | − | 0.400320i | ||||
\(645\) | −6.38427e7 | − | 6.38427e7i | −0.237921 | − | 0.237921i | ||||
\(646\) | −7.02242e6 | − | 2.30575e8i | −0.0260489 | − | 0.855294i | ||||
\(647\) | 2.66079e8 | 0.982422 | 0.491211 | − | 0.871041i | \(-0.336554\pi\) | ||||
0.491211 | + | 0.871041i | \(0.336554\pi\) | |||||||
\(648\) | 1.10628e8 | − | 1.32937e8i | 0.406573 | − | 0.488563i | ||||
\(649\) | 6.58405e8i | 2.40857i | ||||||||
\(650\) | 138580. | + | 4.55015e6i | 0.000504614 | + | 0.0165686i | ||||
\(651\) | 1.14355e7 | − | 1.14355e7i | 0.0414489 | − | 0.0414489i | ||||
\(652\) | 3.60834e6 | − | 4.07690e6i | 0.0130186 | − | 0.0147091i | ||||
\(653\) | −4.39341e6 | + | 4.39341e6i | −0.0157784 | + | 0.0157784i | −0.714952 | − | 0.699174i | \(-0.753551\pi\) |
0.699174 | + | 0.714952i | \(0.253551\pi\) | |||||||
\(654\) | −8.95582e6 | − | 8.42643e6i | −0.0320164 | − | 0.0301238i | ||||
\(655\) | 5.68077e8i | 2.02154i | ||||||||
\(656\) | −1.00521e7 | − | 8.21298e7i | −0.0356076 | − | 0.290931i | ||||
\(657\) | 6.74980e7 | 0.238010 | ||||||||
\(658\) | 9.32159e7 | − | 9.90723e7i | 0.327199 | − | 0.347756i | ||||
\(659\) | 9.60616e7 | + | 9.60616e7i | 0.335655 | + | 0.335655i | 0.854729 | − | 0.519074i | \(-0.173723\pi\) |
−0.519074 | + | 0.854729i | \(0.673723\pi\) | |||||||
\(660\) | 1.69227e8 | − | 1.91202e8i | 0.588623 | − | 0.665059i | ||||
\(661\) | −3.32344e8 | − | 3.32344e8i | −1.15076 | − | 1.15076i | −0.986401 | − | 0.164354i | \(-0.947446\pi\) |
−0.164354 | − | 0.986401i | \(-0.552554\pi\) | |||||||
\(662\) | 3.26516e8 | − | 9.94437e6i | 1.12546 | − | 0.0342771i | ||||
\(663\) | −448437. | −0.00153872 | ||||||||
\(664\) | −3.36809e8 | + | 3.08500e7i | −1.15048 | + | 0.105378i | ||||
\(665\) | 4.86737e8i | 1.65512i | ||||||||
\(666\) | 1.63880e8 | − | 4.99113e6i | 0.554757 | − | 0.0168957i | ||||
\(667\) | −878632. | + | 878632.i | −0.00296094 | + | 0.00296094i | ||||
\(668\) | 3.36340e7 | + | 5.51660e8i | 0.112836 | + | 1.85073i | ||||
\(669\) | 7.96945e7 | − | 7.96945e7i | 0.266164 | − | 0.266164i | ||||
\(670\) | 3.72742e8 | − | 3.96160e8i | 1.23932 | − | 1.31718i | ||||
\(671\) | − | 5.16619e8i | − | 1.71003i | ||||||
\(672\) | −1.02015e7 | − | 6.64936e7i | −0.0336166 | − | 0.219115i | ||||
\(673\) | −2.59342e8 | −0.850801 | −0.425400 | − | 0.905005i | \(-0.639867\pi\) | ||||
−0.425400 | + | 0.905005i | \(0.639867\pi\) | |||||||
\(674\) | −2.99525e8 | − | 2.81819e8i | −0.978257 | − | 0.920430i | ||||
\(675\) | −3.21055e8 | − | 3.21055e8i | −1.04392 | − | 1.04392i | ||||
\(676\) | −3.08326e8 | + | 1.87982e7i | −0.998091 | + | 0.0608522i | ||||
\(677\) | 7.93397e7 | + | 7.93397e7i | 0.255697 | + | 0.255697i | 0.823301 | − | 0.567605i | \(-0.192130\pi\) |
−0.567605 | + | 0.823301i | \(0.692130\pi\) | |||||||
\(678\) | −1.45917e6 | − | 4.79108e7i | −0.00468186 | − | 0.153725i | ||||
\(679\) | −1.85563e8 | −0.592763 | ||||||||
\(680\) | −3.23774e8 | + | 2.96560e7i | −1.02971 | + | 0.0943162i | ||||
\(681\) | 7.87017e7i | 0.249197i | ||||||||
\(682\) | −3.55256e6 | − | 1.16645e8i | −0.0111992 | − | 0.367717i | ||||
\(683\) | −9.83571e7 | + | 9.83571e7i | −0.308705 | + | 0.308705i | −0.844407 | − | 0.535702i | \(-0.820047\pi\) |
0.535702 | + | 0.844407i | \(0.320047\pi\) | |||||||
\(684\) | −3.10384e8 | − | 2.74712e8i | −0.969909 | − | 0.858438i | ||||
\(685\) | 4.39228e8 | − | 4.39228e8i | 1.36653 | − | 1.36653i | ||||
\(686\) | 2.36000e8 | + | 2.22050e8i | 0.731038 | + | 0.687825i | ||||
\(687\) | 5.73266e7i | 0.176802i | ||||||||
\(688\) | −1.05731e8 | + | 1.35222e8i | −0.324666 | + | 0.415223i | ||||
\(689\) | −4.39870e6 | −0.0134483 | ||||||||
\(690\) | 9.25888e7 | − | 9.84057e7i | 0.281845 | − | 0.299553i | ||||
\(691\) | −2.67048e8 | − | 2.67048e8i | −0.809386 | − | 0.809386i | 0.175155 | − | 0.984541i | \(-0.443957\pi\) |
−0.984541 | + | 0.175155i | \(0.943957\pi\) | |||||||
\(692\) | 1.94630e8 | + | 1.72261e8i | 0.587342 | + | 0.519839i | ||||
\(693\) | 1.77957e8 | + | 1.77957e8i | 0.534708 | + | 0.534708i | ||||
\(694\) | 9.17840e7 | − | 2.79538e6i | 0.274592 | − | 0.00836300i | ||||
\(695\) | −1.74309e8 | −0.519238 | ||||||||
\(696\) | −499154. | + | 599813.i | −0.00148049 | + | 0.00177905i | ||||
\(697\) | 5.72512e7i | 0.169078i | ||||||||
\(698\) | 2.61686e8 | − | 7.96992e6i | 0.769510 | − | 0.0234362i | ||||
\(699\) | 1.14668e8 | − | 1.14668e8i | 0.335746 | − | 0.335746i | ||||
\(700\) | 4.71636e8 | − | 2.87550e7i | 1.37503 | − | 0.0838339i | ||||
\(701\) | −3.87585e8 | + | 3.87585e8i | −1.12516 | + | 1.12516i | −0.134202 | + | 0.990954i | \(0.542847\pi\) |
−0.990954 | + | 0.134202i | \(0.957153\pi\) | |||||||
\(702\) | −1.18449e6 | + | 1.25891e6i | −0.00342390 | + | 0.00363901i | ||||
\(703\) | − | 3.27581e8i | − | 0.942871i | ||||||
\(704\) | −3.99899e8 | − | 2.75184e8i | −1.14613 | − | 0.788689i | ||||
\(705\) | 1.71584e8 | 0.489676 | ||||||||
\(706\) | 4.15623e8 | + | 3.91054e8i | 1.18110 | + | 1.11128i | ||||
\(707\) | −1.73443e7 | − | 1.73443e7i | −0.0490793 | − | 0.0490793i | ||||
\(708\) | 1.33154e7 | + | 2.18397e8i | 0.0375192 | + | 0.615384i | ||||
\(709\) | 3.44165e8 | + | 3.44165e8i | 0.965667 | + | 0.965667i | 0.999430 | − | 0.0337624i | \(-0.0107490\pi\) |
−0.0337624 | + | 0.999430i | \(0.510749\pi\) | |||||||
\(710\) | −1.50201e7 | − | 4.93173e8i | −0.0419660 | − | 1.37792i | ||||
\(711\) | 4.05827e8 | 1.12910 | ||||||||
\(712\) | 9.45697e7 | + | 7.86992e7i | 0.262007 | + | 0.218037i | ||||
\(713\) | − | 6.17541e7i | − | 0.170372i | ||||||
\(714\) | 1.41696e6 | + | 4.65249e7i | 0.00389282 | + | 0.127818i | ||||
\(715\) | 4.82796e6 | − | 4.82796e6i | 0.0132083 | − | 0.0132083i | ||||
\(716\) | 3.62262e8 | − | 4.09304e8i | 0.986925 | − | 1.11508i | ||||
\(717\) | −5.95854e7 | + | 5.95854e7i | −0.161653 | + | 0.161653i | ||||
\(718\) | −4.09859e8 | − | 3.85632e8i | −1.10729 | − | 1.04184i | ||||
\(719\) | − | 2.26972e8i | − | 0.610641i | −0.952250 | − | 0.305321i | \(-0.901236\pi\) | ||
0.952250 | − | 0.305321i | \(-0.0987637\pi\) | |||||||
\(720\) | −3.59846e8 | + | 4.60215e8i | −0.964093 | + | 1.23300i | ||||
\(721\) | 1.57659e8 | 0.420644 | ||||||||
\(722\) | −3.09586e8 | + | 3.29036e8i | −0.822563 | + | 0.874241i | ||||
\(723\) | −6.65269e7 | − | 6.65269e7i | −0.176028 | − | 0.176028i | ||||
\(724\) | −1.37548e8 | + | 1.55409e8i | −0.362442 | + | 0.409507i | ||||
\(725\) | −3.87570e6 | − | 3.87570e6i | −0.0101704 | − | 0.0101704i | ||||
\(726\) | −1.27444e8 | + | 3.88144e6i | −0.333050 | + | 0.0101434i | ||||
\(727\) | −1.42830e8 | −0.371719 | −0.185860 | − | 0.982576i | \(-0.559507\pi\) | ||||
−0.185860 | + | 0.982576i | \(0.559507\pi\) | |||||||
\(728\) | −164081. | − | 1.79137e6i | −0.000425268 | − | 0.00464293i | ||||
\(729\) | 1.22978e8i | 0.317427i | ||||||||
\(730\) | −1.89987e8 | + | 5.78624e6i | −0.488376 | + | 0.0148740i | ||||
\(731\) | 8.39820e7 | − | 8.39820e7i | 0.214998 | − | 0.214998i | ||||
\(732\) | −1.04479e7 | − | 1.71366e8i | −0.0266377 | − | 0.436908i | ||||
\(733\) | 2.54471e8 | − | 2.54471e8i | 0.646139 | − | 0.646139i | −0.305919 | − | 0.952058i | \(-0.598964\pi\) |
0.952058 | + | 0.305919i | \(0.0989636\pi\) | |||||||
\(734\) | −1.69970e8 | + | 1.80649e8i | −0.429818 | + | 0.456821i | ||||
\(735\) | 1.55259e8i | 0.391015i | ||||||||
\(736\) | −2.07084e8 | − | 1.51994e8i | −0.519414 | − | 0.381236i | ||||
\(737\) | −5.61935e8 | −1.40373 | ||||||||
\(738\) | 7.49205e7 | + | 7.04918e7i | 0.186394 | + | 0.175376i | ||||
\(739\) | 2.61656e8 | + | 2.61656e8i | 0.648333 | + | 0.648333i | 0.952590 | − | 0.304257i | \(-0.0984081\pi\) |
−0.304257 | + | 0.952590i | \(0.598408\pi\) | |||||||
\(740\) | −4.60845e8 | + | 2.80971e7i | −1.13726 | + | 0.0693372i | ||||
\(741\) | 1.13836e6 | + | 1.13836e6i | 0.00279786 | + | 0.00279786i | ||||
\(742\) | 1.38989e7 | + | 4.56361e8i | 0.0340228 | + | 1.11711i | ||||
\(743\) | −1.90483e8 | −0.464397 | −0.232198 | − | 0.972668i | \(-0.574592\pi\) | ||||
−0.232198 | + | 0.972668i | \(0.574592\pi\) | |||||||
\(744\) | −3.53740e6 | − | 3.86201e7i | −0.00858944 | − | 0.0937766i | ||||
\(745\) | − | 7.95713e8i | − | 1.92437i | ||||||
\(746\) | 2.16734e7 | + | 7.11628e8i | 0.0522048 | + | 1.71410i | ||||
\(747\) | 2.97332e8 | − | 2.97332e8i | 0.713312 | − | 0.713312i | ||||
\(748\) | 2.51517e8 | + | 2.22610e8i | 0.600982 | + | 0.531911i | ||||
\(749\) | −1.06369e8 | + | 1.06369e8i | −0.253146 | + | 0.253146i | ||||
\(750\) | 2.37935e8 | + | 2.23870e8i | 0.563993 | + | 0.530654i | ||||
\(751\) | 1.15685e8i | 0.273122i | 0.990632 | + | 0.136561i | \(0.0436050\pi\) | ||||
−0.990632 | + | 0.136561i | \(0.956395\pi\) | |||||||
\(752\) | −3.96297e7 | − | 3.23793e8i | −0.0931896 | − | 0.761401i | ||||
\(753\) | −1.75271e8 | −0.410511 | ||||||||
\(754\) | −14298.9 | + | 15197.3i | −3.33572e−5 | + | 3.54529e-5i | ||||
\(755\) | 1.70254e8 | + | 1.70254e8i | 0.395601 | + | 0.395601i | ||||
\(756\) | 1.34354e8 | + | 1.18912e8i | 0.310945 | + | 0.275208i | ||||
\(757\) | 7.45004e7 | + | 7.45004e7i | 0.171740 | + | 0.171740i | 0.787743 | − | 0.616004i | \(-0.211249\pi\) |
−0.616004 | + | 0.787743i | \(0.711249\pi\) | |||||||
\(758\) | 6.75014e8 | − | 2.05583e7i | 1.54990 | − | 0.0472040i | ||||
\(759\) | −1.39584e8 | −0.319235 | ||||||||
\(760\) | 8.97188e8 | + | 7.46623e8i | 2.04382 | + | 1.70083i | ||||
\(761\) | 2.60939e8i | 0.592086i | 0.955175 | + | 0.296043i | \(0.0956672\pi\) | ||||
−0.955175 | + | 0.296043i | \(0.904333\pi\) | |||||||
\(762\) | 1.69383e8 | − | 5.15874e6i | 0.382829 | − | 0.0116595i | ||||
\(763\) | −2.41341e7 | + | 2.41341e7i | −0.0543323 | + | 0.0543323i | ||||
\(764\) | −4.57078e8 | + | 2.78674e7i | −1.02497 | + | 0.0624909i | ||||
\(765\) | 2.85825e8 | − | 2.85825e8i | 0.638433 | − | 0.638433i | ||||
\(766\) | −3.16041e8 | + | 3.35897e8i | −0.703165 | + | 0.747342i | ||||
\(767\) | 5.85088e6i | 0.0129669i | ||||||||
\(768\) | −1.38214e8 | − | 8.31928e7i | −0.305118 | − | 0.183655i | ||||
\(769\) | 5.34401e8 | 1.17514 | 0.587568 | − | 0.809175i | \(-0.300085\pi\) | ||||
0.587568 | + | 0.809175i | \(0.300085\pi\) | |||||||
\(770\) | −5.16152e8 | − | 4.85641e8i | −1.13059 | − | 1.06376i | ||||
\(771\) | 1.45517e8 | + | 1.45517e8i | 0.317506 | + | 0.317506i | ||||
\(772\) | −7.52655e6 | − | 1.23449e8i | −0.0163585 | − | 0.268310i | ||||
\(773\) | −3.55344e8 | − | 3.55344e8i | −0.769325 | − | 0.769325i | 0.208662 | − | 0.977988i | \(-0.433089\pi\) |
−0.977988 | + | 0.208662i | \(0.933089\pi\) | |||||||
\(774\) | −6.49645e6 | − | 2.13306e8i | −0.0140105 | − | 0.460023i | ||||
\(775\) | 2.72401e8 | 0.585199 | ||||||||
\(776\) | −2.84641e8 | + | 3.42042e8i | −0.609134 | + | 0.731972i | ||||
\(777\) | 6.60983e7i | 0.140905i | ||||||||
\(778\) | −2.21982e7 | − | 7.28859e8i | −0.0471388 | − | 1.54776i | ||||
\(779\) | 1.45333e8 | − | 1.45333e8i | 0.307434 | − | 0.307434i | ||||
\(780\) | 1.50382e6 | − | 1.69910e6i | 0.00316893 | − | 0.00358043i | ||||
\(781\) | −3.60424e8 | + | 3.60424e8i | −0.756590 | + | 0.756590i | ||||
\(782\) | 1.29448e8 | + | 1.21796e8i | 0.270692 | + | 0.254691i | ||||
\(783\) | − | 2.08123e6i | − | 0.00433545i | ||||||
\(784\) | 2.92986e8 | − | 3.58592e7i | 0.607993 | − | 0.0744137i | ||||
\(785\) | 7.34619e8 | 1.51864 | ||||||||
\(786\) | 1.33643e8 | − | 1.42039e8i | 0.275218 | − | 0.292509i | ||||
\(787\) | −3.27339e8 | − | 3.27339e8i | −0.671542 | − | 0.671542i | 0.286529 | − | 0.958071i | \(-0.407498\pi\) |
−0.958071 | + | 0.286529i | \(0.907498\pi\) | |||||||
\(788\) | −2.33359e8 | + | 2.63662e8i | −0.476921 | + | 0.538852i | ||||
\(789\) | 5.34212e6 | + | 5.34212e6i | 0.0108763 | + | 0.0108763i | ||||
\(790\) | −1.14228e9 | + | 3.47894e7i | −2.31682 | + | 0.0705611i | ||||
\(791\) | −1.33042e8 | −0.268819 | ||||||||
\(792\) | 6.00999e8 | − | 5.50484e7i | 1.20976 | − | 0.110807i | ||||
\(793\) | − | 4.59090e6i | − | 0.00920616i | ||||||
\(794\) | 3.75478e8 | − | 1.14356e7i | 0.750108 | − | 0.0228453i | ||||
\(795\) | −4.07223e8 | + | 4.07223e8i | −0.810458 | + | 0.810458i | ||||
\(796\) | −1.44192e7 | − | 2.36502e8i | −0.0285893 | − | 0.468917i | ||||
\(797\) | −2.74877e8 | + | 2.74877e8i | −0.542955 | + | 0.542955i | −0.924394 | − | 0.381439i | \(-0.875429\pi\) |
0.381439 | + | 0.924394i | \(0.375429\pi\) | |||||||
\(798\) | 1.14507e8 | − | 1.21701e8i | 0.225332 | − | 0.239489i | ||||
\(799\) | 2.25710e8i | 0.442497i | ||||||||
\(800\) | 6.70457e8 | − | 9.13462e8i | 1.30949 | − | 1.78410i | ||||
\(801\) | −1.52960e8 | −0.297633 | ||||||||
\(802\) | −3.83093e8 | − | 3.60447e8i | −0.742644 | − | 0.698745i | ||||
\(803\) | 1.38847e8 | + | 1.38847e8i | 0.268158 | + | 0.268158i | ||||
\(804\) | −1.86397e8 | + | 1.13644e7i | −0.358650 | + | 0.0218664i | ||||
\(805\) | −2.65184e8 | − | 2.65184e8i | −0.508346 | − | 0.508346i | ||||
\(806\) | −31569.6 | − | 1.03656e6i | −6.02925e−5 | − | 0.00197966i | ||||
\(807\) | 1.69547e8 | 0.322604 | ||||||||
\(808\) | −5.85753e7 | + | 5.36519e6i | −0.111040 | + | 0.0101707i | ||||
\(809\) | − | 7.49473e8i | − | 1.41550i | −0.706462 | − | 0.707751i | \(-0.749710\pi\) | ||
0.706462 | − | 0.707751i | \(-0.250290\pi\) | |||||||
\(810\) | −1.84322e7 | − | 6.05206e8i | −0.0346834 | − | 1.13880i | ||||
\(811\) | −5.97328e8 | + | 5.97328e8i | −1.11983 | + | 1.11983i | −0.128058 | + | 0.991767i | \(0.540875\pi\) |
−0.991767 | + | 0.128058i | \(0.959125\pi\) | |||||||
\(812\) | 1.62189e6 | + | 1.43548e6i | 0.00302937 | + | 0.00268120i | ||||
\(813\) | 1.05416e8 | − | 1.05416e8i | 0.196171 | − | 0.196171i | ||||
\(814\) | 3.47377e8 | + | 3.26843e8i | 0.644063 | + | 0.605991i | ||||
\(815\) | − | 1.90607e7i | − | 0.0352101i | ||||||
\(816\) | 8.79315e7 | + | 6.87544e7i | 0.161836 | + | 0.126541i | ||||
\(817\) | −4.26379e8 | −0.781861 | ||||||||
\(818\) | −1.73237e8 | + | 1.84121e8i | −0.316505 | + | 0.336390i | ||||
\(819\) | 1.58141e6 | + | 1.58141e6i | 0.00287867 | + | 0.00287867i | ||||
\(820\) | −2.16922e8 | − | 1.91991e8i | −0.393425 | − | 0.348208i | ||||
\(821\) | −3.66612e8 | − | 3.66612e8i | −0.662488 | − | 0.662488i | 0.293478 | − | 0.955966i | \(-0.405187\pi\) |
−0.955966 | + | 0.293478i | \(0.905187\pi\) | |||||||
\(822\) | −2.13153e8 | + | 6.49179e6i | −0.383774 | + | 0.0116882i | ||||
\(823\) | −5.77764e8 | −1.03646 | −0.518228 | − | 0.855243i | \(-0.673408\pi\) | ||||
−0.518228 | + | 0.855243i | \(0.673408\pi\) | |||||||
\(824\) | 2.41840e8 | − | 2.90609e8i | 0.432261 | − | 0.519431i | ||||
\(825\) | − | 6.15713e8i | − | 1.09652i | ||||||
\(826\) | 6.07023e8 | − | 1.84875e7i | 1.07712 | − | 0.0328049i | ||||
\(827\) | 3.54236e8 | − | 3.54236e8i | 0.626290 | − | 0.626290i | −0.320842 | − | 0.947133i | \(-0.603966\pi\) |
0.947133 | + | 0.320842i | \(0.103966\pi\) | |||||||
\(828\) | 3.18771e8 | − | 1.94351e7i | 0.561550 | − | 0.0342369i | ||||
\(829\) | −8.00560e7 | + | 8.00560e7i | −0.140517 | + | 0.140517i | −0.773866 | − | 0.633349i | \(-0.781680\pi\) |
0.633349 | + | 0.773866i | \(0.281680\pi\) | |||||||
\(830\) | −8.11412e8 | + | 8.62389e8i | −1.41908 | + | 1.50824i | ||||
\(831\) | − | 1.69074e8i | − | 0.294628i | ||||||
\(832\) | −3.55368e6 | − | 2.44541e6i | −0.00617032 | − | 0.00424602i | ||||
\(833\) | −2.04235e8 | −0.353342 | ||||||||
\(834\) | 4.35834e7 | + | 4.10071e7i | 0.0751316 | + | 0.0706904i | ||||
\(835\) | 1.36821e9 | + | 1.36821e9i | 2.35014 | + | 2.35014i | ||||
\(836\) | −7.33804e7 | − | 1.20358e9i | −0.125592 | − | 2.05994i | ||||
\(837\) | 7.31388e7 | + | 7.31388e7i | 0.124730 | + | 0.124730i | ||||
\(838\) | −1.04255e7 | − | 3.42314e8i | −0.0177160 | − | 0.581691i | ||||
\(839\) | 6.76738e8 | 1.14587 | 0.572934 | − | 0.819602i | \(-0.305805\pi\) | ||||
0.572934 | + | 0.819602i | \(0.305805\pi\) | |||||||
\(840\) | −1.81032e8 | − | 1.50652e8i | −0.305434 | − | 0.254177i | ||||
\(841\) | 5.94798e8i | 0.999958i | ||||||||
\(842\) | 4.47167e6 | + | 1.46824e8i | 0.00749089 | + | 0.245957i | ||||
\(843\) | −5.69433e7 | + | 5.69433e7i | −0.0950516 | + | 0.0950516i | ||||
\(844\) | 4.08144e8 | − | 4.61143e8i | 0.678869 | − | 0.767023i | ||||
\(845\) | −7.64702e8 | + | 7.64702e8i | −1.26743 | + | 1.26743i | ||||
\(846\) | 2.95371e8 | + | 2.77911e8i | 0.487816 | + | 0.458980i | ||||
\(847\) | 3.53896e8i | 0.582405i | ||||||||
\(848\) | 8.62517e8 | + | 6.74409e8i | 1.41442 | + | 1.10595i | ||||
\(849\) | −9.13011e7 | −0.149195 | ||||||||
\(850\) | −5.37249e8 | + | 5.71002e8i | −0.874821 | + | 0.929782i | ||||
\(851\) | 1.78472e8 | + | 1.78472e8i | 0.289589 | + | 0.289589i | ||||
\(852\) | −1.12266e8 | + | 1.26844e8i | −0.181521 | + | 0.205093i | ||||
\(853\) | 3.99632e8 | + | 3.99632e8i | 0.643892 | + | 0.643892i | 0.951510 | − | 0.307618i | \(-0.0995317\pi\) |
−0.307618 | + | 0.951510i | \(0.599532\pi\) | |||||||
\(854\) | −4.76302e8 | + | 1.45063e7i | −0.764731 | + | 0.0232907i | ||||
\(855\) | −1.45114e9 | −2.32173 | ||||||||
\(856\) | 3.29037e7 | + | 3.59231e8i | 0.0524594 | + | 0.572734i | ||||
\(857\) | − | 4.22100e8i | − | 0.670615i | −0.942109 | − | 0.335307i | \(-0.891160\pi\) | ||
0.942109 | − | 0.335307i | \(-0.108840\pi\) | |||||||
\(858\) | −2.34296e6 | + | 71357.2i | −0.00370939 | + | 0.000112973i | ||||
\(859\) | 3.35359e8 | − | 3.35359e8i | 0.529090 | − | 0.529090i | −0.391211 | − | 0.920301i | \(-0.627944\pi\) |
0.920301 | + | 0.391211i | \(0.127944\pi\) | |||||||
\(860\) | 3.65711e7 | + | 5.99835e8i | 0.0574967 | + | 0.943054i | ||||
\(861\) | −2.93249e7 | + | 2.93249e7i | −0.0459438 | + | 0.0459438i | ||||
\(862\) | 7.05487e8 | − | 7.49810e8i | 1.10146 | − | 1.17066i | ||||
\(863\) | 7.06487e8i | 1.09919i | 0.835432 | + | 0.549593i | \(0.185217\pi\) | ||||
−0.835432 | + | 0.549593i | \(0.814783\pi\) | |||||||
\(864\) | 4.25277e8 | − | 6.52461e7i | 0.659373 | − | 0.101161i | ||||
\(865\) | 9.09953e8 | 1.40595 | ||||||||
\(866\) | 2.57900e8 | + | 2.42655e8i | 0.397098 | + | 0.373625i | ||||
\(867\) | 1.09503e8 | + | 1.09503e8i | 0.168023 | + | 0.168023i | ||||
\(868\) | −1.07443e8 | + | 6.55063e6i | −0.164292 | + | 0.0100167i | ||||
\(869\) | 8.34809e8 | + | 8.34809e8i | 1.27212 | + | 1.27212i | ||||
\(870\) | 83166.3 | + | 2.73070e6i | 0.000126296 | + | 0.00414683i | ||||
\(871\) | −4.99360e6 | −0.00755717 | ||||||||
\(872\) | 7.46552e6 | + | 8.15060e7i | 0.0112593 | + | 0.122925i | ||||
\(873\) | − | 5.53230e8i | − | 0.831501i | ||||||
\(874\) | −1.94244e7 | − | 6.37786e8i | −0.0290947 | − | 0.955302i | ||||
\(875\) | 6.41186e8 | − | 6.41186e8i | 0.957106 | − | 0.957106i | ||||
\(876\) | 4.88644e7 | + | 4.32484e7i | 0.0726910 | + | 0.0643366i | ||||
\(877\) | 1.18842e8 | − | 1.18842e8i | 0.176185 | − | 0.176185i | −0.613505 | − | 0.789691i | \(-0.710241\pi\) |
0.789691 | + | 0.613505i | \(0.210241\pi\) | |||||||
\(878\) | 1.71288e8 | + | 1.61163e8i | 0.253072 | + | 0.238113i | ||||
\(879\) | − | 6.81626e7i | − | 0.100364i | ||||||
\(880\) | −1.68691e9 | + | 2.06465e8i | −2.47540 | + | 0.302969i | ||||
\(881\) | −8.18267e8 | −1.19665 | −0.598326 | − | 0.801253i | \(-0.704167\pi\) | ||||
−0.598326 | + | 0.801253i | \(0.704167\pi\) | |||||||
\(882\) | −2.51469e8 | + | 2.67268e8i | −0.366504 | + | 0.389530i | ||||
\(883\) | −8.74250e8 | − | 8.74250e8i | −1.26985 | − | 1.26985i | −0.946163 | − | 0.323690i | \(-0.895076\pi\) |
−0.323690 | − | 0.946163i | \(-0.604924\pi\) | |||||||
\(884\) | 2.23509e6 | + | 1.97821e6i | 0.00323547 | + | 0.00286362i | ||||
\(885\) | 5.41662e8 | + | 5.41662e8i | 0.781446 | + | 0.781446i | ||||
\(886\) | 7.91687e7 | − | 2.41117e6i | 0.113829 | − | 0.00346678i | ||||
\(887\) | −9.08568e8 | −1.30193 | −0.650963 | − | 0.759109i | \(-0.725635\pi\) | ||||
−0.650963 | + | 0.759109i | \(0.725635\pi\) | |||||||
\(888\) | 1.21837e8 | + | 1.01391e8i | 0.173997 | + | 0.144797i | ||||
\(889\) | − | 4.70356e8i | − | 0.669454i | ||||||
\(890\) | 4.30537e8 | − | 1.31124e7i | 0.610717 | − | 0.0186000i | ||||
\(891\) | −4.42301e8 | + | 4.42301e8i | −0.625294 | + | 0.625294i | ||||
\(892\) | −7.48771e8 | + | 4.56516e7i | −1.05501 | + | 0.0643222i | ||||
\(893\) | 5.72968e8 | − | 5.72968e8i | 0.804593 | − | 0.804593i | ||||
\(894\) | −1.87195e8 | + | 1.98956e8i | −0.261988 | + | 0.278448i | ||||
\(895\) | − | 1.91362e9i | − | 2.66923i | ||||||
\(896\) | −2.42480e8 | + | 3.76418e8i | −0.337095 | + | 0.523294i | ||||
\(897\) | −1.24040e6 | −0.00171864 | ||||||||
\(898\) | 7.81656e7 | + | 7.35451e7i | 0.107941 | + | 0.101560i | ||||
\(899\) | 882915. | + | 882915.i | 0.00121518 | + | 0.00121518i | ||||
\(900\) | 8.57292e7 | + | 1.40612e9i | 0.117598 | + | 1.92883i | ||||
\(901\) | −5.35681e8 | − | 5.35681e8i | −0.732373 | − | 0.732373i | ||||
\(902\) | 9.11007e6 | + | 2.99122e8i | 0.0124137 | + | 0.407595i | ||||
\(903\) | 8.60335e7 | 0.116843 | ||||||||
\(904\) | −2.04078e8 | + | 2.45233e8i | −0.276243 | + | 0.331951i | ||||
\(905\) | 7.26585e8i | 0.980259i | ||||||||
\(906\) | −2.51636e6 | − | 8.26226e7i | −0.00338367 | − | 0.111100i | ||||
\(907\) | 4.33430e8 | − | 4.33430e8i | 0.580895 | − | 0.580895i | −0.354254 | − | 0.935149i | \(-0.615265\pi\) |
0.935149 | + | 0.354254i | \(0.115265\pi\) | |||||||
\(908\) | 3.47180e8 | − | 3.92263e8i | 0.463764 | − | 0.523986i | ||||
\(909\) | 5.17097e7 | − | 5.17097e7i | 0.0688462 | − | 0.0688462i | ||||
\(910\) | −4.58675e6 | − | 4.31562e6i | −0.00608669 | − | 0.00572690i | ||||
\(911\) | − | 8.08779e8i | − | 1.06973i | −0.844937 | − | 0.534865i | \(-0.820362\pi\) | ||
0.844937 | − | 0.534865i | \(-0.179638\pi\) | |||||||
\(912\) | −4.86814e7 | − | 3.97749e8i | −0.0641769 | − | 0.524354i | ||||
\(913\) | 1.22326e9 | 1.60733 | ||||||||
\(914\) | 8.87941e8 | − | 9.43726e8i | 1.16291 | − | 1.23597i | ||||
\(915\) | −4.25017e8 | − | 4.25017e8i | −0.554808 | − | 0.554808i | ||||
\(916\) | 2.52887e8 | − | 2.85726e8i | 0.329034 | − | 0.371760i | ||||
\(917\) | −3.82766e8 | − | 3.82766e8i | −0.496393 | − | 0.496393i | ||||
\(918\) | −2.97562e8 | + | 9.06257e6i | −0.384636 | + | 0.0117145i | ||||
\(919\) | 9.98417e8 | 1.28637 | 0.643184 | − | 0.765711i | \(-0.277613\pi\) | ||||
0.643184 | + | 0.765711i | \(0.277613\pi\) | |||||||
\(920\) | −8.95580e8 | + | 8.20305e7i | −1.15011 | + | 0.105344i | ||||
\(921\) | − | 7.32127e7i | − | 0.0937146i | ||||||
\(922\) | −1.31539e8 | + | 4.00617e6i | −0.167827 | + | 0.00511136i | ||||
\(923\) | −3.20288e6 | + | 3.20288e6i | −0.00407320 | + | 0.00407320i | ||||
\(924\) | 1.48065e7 | + | 2.42854e8i | 0.0187688 | + | 0.307843i | ||||
\(925\) | −7.87251e8 | + | 7.87251e8i | −0.994691 | + | 0.994691i | ||||
\(926\) | −2.20384e8 | + | 2.34229e8i | −0.277553 | + | 0.294991i | ||||
\(927\) | 4.70040e8i | 0.590060i | ||||||||
\(928\) | 5.13385e6 | − | 787636.i | 0.00642391 | − | 0.000985557i | ||||
\(929\) | −1.15058e9 | −1.43506 | −0.717531 | − | 0.696527i | \(-0.754728\pi\) | ||||
−0.717531 | + | 0.696527i | \(0.754728\pi\) | |||||||
\(930\) | −9.88854e7 | − | 9.30401e7i | −0.122937 | − | 0.115670i | ||||
\(931\) | 5.18454e8 | + | 5.18454e8i | 0.642482 | + | 0.642482i | ||||
\(932\) | −1.07737e9 | + | 6.56856e7i | −1.33081 | + | 0.0811376i | ||||
\(933\) | −3.19794e8 | − | 3.19794e8i | −0.393755 | − | 0.393755i | ||||
\(934\) | −1.13297e7 | − | 3.72003e8i | −0.0139053 | − | 0.456568i | ||||
\(935\) | 1.17592e9 | 1.43861 | ||||||||
\(936\) | 5.34074e6 | − | 489184.i | 0.00651289 | − | 0.000596547i | ||||
\(937\) | 1.04563e9i | 1.27104i | 0.772086 | + | 0.635518i | \(0.219213\pi\) | ||||
−0.772086 | + | 0.635518i | \(0.780787\pi\) | |||||||
\(938\) | 1.57787e7 | + | 5.18081e8i | 0.0191189 | + | 0.627754i | ||||
\(939\) | 1.34957e8 | − | 1.34957e8i | 0.163004 | − | 0.163004i | ||||
\(940\) | −8.55203e8 | − | 7.56915e8i | −1.02964 | − | 0.911304i | ||||
\(941\) | 9.38599e8 | − | 9.38599e8i | 1.12645 | − | 1.12645i | 0.135698 | − | 0.990750i | \(-0.456672\pi\) |
0.990750 | − | 0.135698i | \(-0.0433278\pi\) | |||||||
\(942\) | −1.83680e8 | − | 1.72823e8i | −0.219740 | − | 0.206751i | ||||
\(943\) | 1.58360e8i | 0.188848i | ||||||||
\(944\) | 8.97057e8 | − | 1.14727e9i | 1.06636 | − | 1.36379i | ||||
\(945\) | 6.28144e8 | 0.744326 | ||||||||
\(946\) | 4.25419e8 | − | 4.52146e8i | 0.502509 | − | 0.534079i | ||||
\(947\) | −8.73243e8 | − | 8.73243e8i | −1.02822 | − | 1.02822i | −0.999590 | − | 0.0286279i | \(-0.990886\pi\) |
−0.0286279 | − | 0.999590i | \(-0.509114\pi\) | |||||||
\(948\) | 2.93794e8 | + | 2.60028e8i | 0.344840 | + | 0.305208i | ||||
\(949\) | 1.23386e6 | + | 1.23386e6i | 0.00144366 | + | 0.00144366i | ||||
\(950\) | 2.81331e9 | − | 8.56824e7i | 3.28131 | − | 0.0999357i | ||||
\(951\) | 3.45338e8 | 0.401516 | ||||||||
\(952\) | 1.98175e8 | − | 2.38139e8i | 0.229688 | − | 0.276007i | ||||
\(953\) | 1.04703e9i | 1.20970i | 0.796338 | + | 0.604852i | \(0.206768\pi\) | ||||
−0.796338 | + | 0.604852i | \(0.793232\pi\) | |||||||
\(954\) | −1.36058e9 | + | 4.14378e7i | −1.56703 | + | 0.0477256i | ||||
\(955\) | −1.13363e9 | + | 1.13363e9i | −1.30156 | + | 1.30156i | ||||
\(956\) | 5.59836e8 | − | 3.41325e7i | 0.640748 | − | 0.0390655i | ||||
\(957\) | 1.99567e6 | − | 1.99567e6i | 0.00227695 | − | 0.00227695i | ||||
\(958\) | −2.62391e8 | + | 2.78875e8i | −0.298436 | + | 0.317186i | ||||
\(959\) | 5.91898e8i | 0.671106i | ||||||||
\(960\) | −5.55383e8 | + | 1.02601e8i | −0.627739 | + | 0.115968i | ||||
\(961\) | 8.25449e8 | 0.930079 | ||||||||
\(962\) | 3.08695e6 | + | 2.90447e6i | 0.00346740 | + | 0.00326244i | ||||
\(963\) | −3.17126e8 | − | 3.17126e8i | −0.355102 | − | 0.355102i | ||||
\(964\) | 3.81087e7 | + | 6.25055e8i | 0.0425396 | + | 0.697729i | ||||
\(965\) | −3.06176e8 | − | 3.06176e8i | −0.340714 | − | 0.340714i | ||||
\(966\) | 3.91941e6 | + | 1.28691e8i | 0.00434800 | + | 0.142763i | ||||
\(967\) | −2.11963e8 | −0.234412 | −0.117206 | − | 0.993108i | \(-0.537394\pi\) | ||||
−0.117206 | + | 0.993108i | \(0.537394\pi\) | |||||||
\(968\) | 6.52326e8 | + | 5.42854e8i | 0.719182 | + | 0.598490i | ||||
\(969\) | 2.77264e8i | 0.304735i | ||||||||
\(970\) | 4.74254e7 | + | 1.55718e9i | 0.0519632 | + | 1.70617i | ||||
\(971\) | 4.03408e8 | − | 4.03408e8i | 0.440643 | − | 0.440643i | −0.451585 | − | 0.892228i | \(-0.649141\pi\) |
0.892228 | + | 0.451585i | \(0.149141\pi\) | |||||||
\(972\) | −5.43783e8 | + | 6.14395e8i | −0.592143 | + | 0.669035i | ||||
\(973\) | 1.17448e8 | − | 1.17448e8i | 0.127500 | − | 0.127500i | ||||
\(974\) | −3.98265e8 | − | 3.74723e8i | −0.431018 | − | 0.405540i | ||||
\(975\) | − | 5.47149e6i | − | 0.00590326i | ||||||
\(976\) | −7.03878e8 | + | 9.00206e8i | −0.757091 | + | 0.968261i | ||||
\(977\) | −1.56036e9 | −1.67317 | −0.836586 | − | 0.547836i | \(-0.815452\pi\) | ||||
−0.836586 | + | 0.547836i | \(0.815452\pi\) | |||||||
\(978\) | −4.48413e6 | + | 4.76584e6i | −0.00479359 | + | 0.00509475i | ||||
\(979\) | −3.14648e8 | − | 3.14648e8i | −0.335333 | − | 0.335333i | ||||
\(980\) | 6.84899e8 | − | 7.73836e8i | 0.727693 | − | 0.822188i | ||||
\(981\) | −7.19527e7 | − | 7.19527e7i | −0.0762149 | − | 0.0762149i | ||||
\(982\) | −4.62875e8 | + | 1.40973e7i | −0.488798 | + | 0.0148869i | ||||
\(983\) | 3.49167e7 | 0.0367598 | 0.0183799 | − | 0.999831i | \(-0.494149\pi\) | ||||
0.0183799 | + | 0.999831i | \(0.494149\pi\) | |||||||
\(984\) | 9.07120e6 | + | 9.90362e7i | 0.00952093 | + | 0.103946i | ||||
\(985\) | 1.23270e9i | 1.28988i | ||||||||
\(986\) | −3.59210e6 | + | 109401.i | −0.00374730 | + | 0.000114128i | ||||
\(987\) | −1.15612e8 | + | 1.15612e8i | −0.120241 | + | 0.120241i | ||||
\(988\) | −652090. | − | 1.06955e7i | −0.000676141 | − | 0.0110900i | ||||
\(989\) | 2.32299e8 | − | 2.32299e8i | 0.240137 | − | 0.240137i | ||||
\(990\) | 1.44787e9 | − | 1.53884e9i | 1.49219 | − | 1.58594i | ||||
\(991\) | − | 1.02328e9i | − | 1.05142i | −0.850664 | − | 0.525709i | \(-0.823800\pi\) | ||
0.850664 | − | 0.525709i | \(-0.176200\pi\) | |||||||
\(992\) | −1.52735e8 | + | 2.08094e8i | −0.156461 | + | 0.213169i | ||||
\(993\) | −3.92630e8 | −0.400992 | ||||||||
\(994\) | 3.42417e8 | + | 3.22176e8i | 0.348655 | + | 0.328045i | ||||
\(995\) | −5.86568e8 | − | 5.86568e8i | −0.595455 | − | 0.595455i | ||||
\(996\) | 4.05762e8 | − | 2.47388e7i | 0.410670 | − | 0.0250380i | ||||
\(997\) | 9.21368e8 | + | 9.21368e8i | 0.929711 | + | 0.929711i | 0.997687 | − | 0.0679761i | \(-0.0216542\pi\) |
−0.0679761 | + | 0.997687i | \(0.521654\pi\) | |||||||
\(998\) | 1.12472e7 | + | 3.69294e8i | 0.0113150 | + | 0.371519i | ||||
\(999\) | −4.22749e8 | −0.424020 |
(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 | 16.7.f.a.11.8 | yes | 22 | |
4.3 | odd | 2 | 64.7.f.a.15.6 | 22 | |||
8.3 | odd | 2 | 128.7.f.a.31.6 | 22 | |||
8.5 | even | 2 | 128.7.f.b.31.6 | 22 | |||
16.3 | odd | 4 | inner | 16.7.f.a.3.8 | ✓ | 22 | |
16.5 | even | 4 | 128.7.f.a.95.6 | 22 | |||
16.11 | odd | 4 | 128.7.f.b.95.6 | 22 | |||
16.13 | even | 4 | 64.7.f.a.47.6 | 22 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
16.7.f.a.3.8 | ✓ | 22 | 16.3 | odd | 4 | inner | |
16.7.f.a.11.8 | yes | 22 | 1.1 | even | 1 | trivial | |
64.7.f.a.15.6 | 22 | 4.3 | odd | 2 | |||
64.7.f.a.47.6 | 22 | 16.13 | even | 4 | |||
128.7.f.a.31.6 | 22 | 8.3 | odd | 2 | |||
128.7.f.a.95.6 | 22 | 16.5 | even | 4 | |||
128.7.f.b.31.6 | 22 | 8.5 | even | 2 | |||
128.7.f.b.95.6 | 22 | 16.11 | odd | 4 |