Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [105,3,Mod(44,105)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(105, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("105.44");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 105 = 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 105.o (of order \(6\), 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: | \(2.86104277578\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 44.17 | ||
Character | \(\chi\) | \(=\) | 105.44 |
Dual form | 105.3.o.b.74.17 |
$q$-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 \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) | \(71\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.60486 | − | 2.77971i | 0.802432 | − | 1.38985i | −0.115579 | − | 0.993298i | \(-0.536872\pi\) |
0.918011 | − | 0.396555i | \(-0.129794\pi\) | |||||||
\(3\) | −0.199928 | + | 2.99333i | −0.0666427 | + | 0.997777i | ||||
\(4\) | −3.15118 | − | 5.45800i | −0.787795 | − | 1.36450i | ||||
\(5\) | 4.78223 | − | 1.45954i | 0.956446 | − | 0.291908i | ||||
\(6\) | 7.99972 | + | 5.35963i | 1.33329 | + | 0.893272i | ||||
\(7\) | 6.02754 | − | 3.55932i | 0.861077 | − | 0.508474i | ||||
\(8\) | −7.38994 | −0.923743 | ||||||||
\(9\) | −8.92006 | − | 1.19690i | −0.991117 | − | 0.132989i | ||||
\(10\) | 3.61773 | − | 15.6356i | 0.361773 | − | 1.56356i | ||||
\(11\) | −10.5523 | + | 6.09236i | −0.959298 | + | 0.553851i | −0.895957 | − | 0.444141i | \(-0.853509\pi\) |
−0.0633411 | + | 0.997992i | \(0.520176\pi\) | |||||||
\(12\) | 16.9676 | − | 8.34131i | 1.41397 | − | 0.695109i | ||||
\(13\) | − | 8.47270i | − | 0.651746i | −0.945414 | − | 0.325873i | \(-0.894342\pi\) | ||
0.945414 | − | 0.325873i | \(-0.105658\pi\) | |||||||
\(14\) | −0.220467 | − | 22.4670i | −0.0157477 | − | 1.60479i | ||||
\(15\) | 3.41279 | + | 14.6066i | 0.227519 | + | 0.973774i | ||||
\(16\) | 0.744857 | − | 1.29013i | 0.0465536 | − | 0.0806332i | ||||
\(17\) | 5.29476 | + | 9.17080i | 0.311457 | + | 0.539459i | 0.978678 | − | 0.205401i | \(-0.0658498\pi\) |
−0.667221 | + | 0.744859i | \(0.732516\pi\) | |||||||
\(18\) | −17.6425 | + | 22.8743i | −0.980140 | + | 1.27079i | ||||
\(19\) | −10.0823 | + | 17.4631i | −0.530649 | + | 0.919111i | 0.468711 | + | 0.883351i | \(0.344718\pi\) |
−0.999360 | + | 0.0357599i | \(0.988615\pi\) | |||||||
\(20\) | −23.0359 | − | 21.5022i | −1.15179 | − | 1.07511i | ||||
\(21\) | 9.44914 | + | 18.7540i | 0.449959 | + | 0.893049i | ||||
\(22\) | 39.1096i | 1.77771i | ||||||||
\(23\) | −15.2706 | + | 26.4494i | −0.663939 | + | 1.14998i | 0.315633 | + | 0.948881i | \(0.397783\pi\) |
−0.979572 | + | 0.201094i | \(0.935550\pi\) | |||||||
\(24\) | 1.47746 | − | 22.1205i | 0.0615607 | − | 0.921690i | ||||
\(25\) | 20.7395 | − | 13.9597i | 0.829579 | − | 0.558389i | ||||
\(26\) | −23.5516 | − | 13.5975i | −0.905832 | − | 0.522982i | ||||
\(27\) | 5.36609 | − | 26.4614i | 0.198744 | − | 0.980051i | ||||
\(28\) | −38.4206 | − | 21.6823i | −1.37217 | − | 0.774368i | ||||
\(29\) | 42.8910i | 1.47900i | 0.673157 | + | 0.739499i | \(0.264938\pi\) | ||||
−0.673157 | + | 0.739499i | \(0.735062\pi\) | |||||||
\(30\) | 46.0791 | + | 13.9551i | 1.53597 | + | 0.465169i | ||||
\(31\) | −6.11033 | − | 10.5834i | −0.197107 | − | 0.341400i | 0.750482 | − | 0.660891i | \(-0.229821\pi\) |
−0.947589 | + | 0.319491i | \(0.896488\pi\) | |||||||
\(32\) | −17.1707 | − | 29.7405i | −0.536584 | − | 0.929390i | ||||
\(33\) | −16.1268 | − | 32.8045i | −0.488689 | − | 0.994076i | ||||
\(34\) | 33.9895 | 0.999691 | ||||||||
\(35\) | 23.6301 | − | 25.8189i | 0.675147 | − | 0.737684i | ||||
\(36\) | 21.5760 | + | 52.4573i | 0.599333 | + | 1.45715i | ||||
\(37\) | −28.8063 | − | 16.6313i | −0.778550 | − | 0.449496i | 0.0573663 | − | 0.998353i | \(-0.481730\pi\) |
−0.835916 | + | 0.548857i | \(0.815063\pi\) | |||||||
\(38\) | 32.3616 | + | 56.0519i | 0.851620 | + | 1.47505i | ||||
\(39\) | 25.3616 | + | 1.69393i | 0.650297 | + | 0.0434341i | ||||
\(40\) | −35.3404 | + | 10.7859i | −0.883511 | + | 0.269648i | ||||
\(41\) | 6.40934i | 0.156325i | 0.996941 | + | 0.0781627i | \(0.0249054\pi\) | ||||
−0.996941 | + | 0.0781627i | \(0.975095\pi\) | |||||||
\(42\) | 67.2953 | + | 3.83186i | 1.60227 | + | 0.0912347i | ||||
\(43\) | 20.0231i | 0.465653i | 0.972518 | + | 0.232827i | \(0.0747975\pi\) | ||||
−0.972518 | + | 0.232827i | \(0.925203\pi\) | |||||||
\(44\) | 66.5042 | + | 38.3962i | 1.51146 | + | 0.872642i | ||||
\(45\) | −44.4047 | + | 7.29534i | −0.986771 | + | 0.162119i | ||||
\(46\) | 49.0144 | + | 84.8955i | 1.06553 | + | 1.84555i | ||||
\(47\) | −11.8740 | + | 20.5664i | −0.252639 | + | 0.437583i | −0.964251 | − | 0.264989i | \(-0.914632\pi\) |
0.711613 | + | 0.702572i | \(0.247965\pi\) | |||||||
\(48\) | 3.71287 | + | 2.48754i | 0.0773514 | + | 0.0518237i | ||||
\(49\) | 23.6625 | − | 42.9079i | 0.482909 | − | 0.875671i | ||||
\(50\) | −5.51992 | − | 80.0531i | −0.110398 | − | 1.60106i | ||||
\(51\) | −28.5098 | + | 14.0155i | −0.559016 | + | 0.274813i | ||||
\(52\) | −46.2440 | + | 26.6990i | −0.889308 | + | 0.513442i | ||||
\(53\) | −43.9372 | − | 76.1014i | −0.829003 | − | 1.43588i | −0.898821 | − | 0.438316i | \(-0.855575\pi\) |
0.0698177 | − | 0.997560i | \(-0.477758\pi\) | |||||||
\(54\) | −64.9430 | − | 57.3831i | −1.20265 | − | 1.06265i | ||||
\(55\) | −41.5714 | + | 44.5366i | −0.755843 | + | 0.809756i | ||||
\(56\) | −44.5432 | + | 26.3032i | −0.795414 | + | 0.469699i | ||||
\(57\) | −50.2571 | − | 33.6711i | −0.881704 | − | 0.590722i | ||||
\(58\) | 119.224 | + | 68.8342i | 2.05559 | + | 1.18680i | ||||
\(59\) | 41.9905 | − | 24.2432i | 0.711703 | − | 0.410902i | −0.0999885 | − | 0.994989i | \(-0.531881\pi\) |
0.811691 | + | 0.584087i | \(0.198547\pi\) | |||||||
\(60\) | 68.9686 | − | 64.6550i | 1.14948 | − | 1.07758i | ||||
\(61\) | 10.4973 | − | 18.1819i | 0.172087 | − | 0.298063i | −0.767062 | − | 0.641573i | \(-0.778282\pi\) |
0.939149 | + | 0.343509i | \(0.111616\pi\) | |||||||
\(62\) | −39.2250 | −0.632662 | ||||||||
\(63\) | −58.0262 | + | 24.5349i | −0.921050 | + | 0.389443i | ||||
\(64\) | −104.268 | −1.62918 | ||||||||
\(65\) | −12.3663 | − | 40.5184i | −0.190250 | − | 0.623360i | ||||
\(66\) | −117.068 | − | 7.81912i | −1.77376 | − | 0.118471i | ||||
\(67\) | −19.6174 | + | 11.3261i | −0.292798 | + | 0.169047i | −0.639203 | − | 0.769038i | \(-0.720736\pi\) |
0.346405 | + | 0.938085i | \(0.387402\pi\) | |||||||
\(68\) | 33.3695 | − | 57.7976i | 0.490728 | − | 0.849965i | ||||
\(69\) | −76.1189 | − | 50.9979i | −1.10317 | − | 0.739100i | ||||
\(70\) | −33.8459 | − | 107.121i | −0.483513 | − | 1.53030i | ||||
\(71\) | 2.44145i | 0.0343867i | 0.999852 | + | 0.0171933i | \(0.00547308\pi\) | ||||
−0.999852 | + | 0.0171933i | \(0.994527\pi\) | |||||||
\(72\) | 65.9187 | + | 8.84504i | 0.915538 | + | 0.122848i | ||||
\(73\) | 76.5611 | − | 44.2026i | 1.04878 | − | 0.605515i | 0.126474 | − | 0.991970i | \(-0.459634\pi\) |
0.922308 | + | 0.386455i | \(0.126301\pi\) | |||||||
\(74\) | −92.4605 | + | 53.3821i | −1.24947 | + | 0.721380i | ||||
\(75\) | 37.6397 | + | 64.8710i | 0.501863 | + | 0.864947i | ||||
\(76\) | 127.085 | 1.67217 | ||||||||
\(77\) | −41.9197 | + | 74.2809i | −0.544411 | + | 0.964686i | ||||
\(78\) | 45.4106 | − | 67.7793i | 0.582187 | − | 0.868965i | ||||
\(79\) | −3.20270 | + | 5.54725i | −0.0405406 | + | 0.0702183i | −0.885584 | − | 0.464480i | \(-0.846241\pi\) |
0.845043 | + | 0.534698i | \(0.179575\pi\) | |||||||
\(80\) | 1.67908 | − | 7.25685i | 0.0209885 | − | 0.0907107i | ||||
\(81\) | 78.1349 | + | 21.3529i | 0.964628 | + | 0.263616i | ||||
\(82\) | 17.8161 | + | 10.2861i | 0.217269 | + | 0.125440i | ||||
\(83\) | 103.557 | 1.24768 | 0.623839 | − | 0.781553i | \(-0.285572\pi\) | ||||
0.623839 | + | 0.781553i | \(0.285572\pi\) | |||||||
\(84\) | 72.5836 | − | 110.671i | 0.864091 | − | 1.31751i | ||||
\(85\) | 38.7059 | + | 36.1289i | 0.455364 | + | 0.425046i | ||||
\(86\) | 55.6583 | + | 32.1344i | 0.647190 | + | 0.373655i | ||||
\(87\) | −128.387 | − | 8.57511i | −1.47571 | − | 0.0985645i | ||||
\(88\) | 77.9808 | − | 45.0222i | 0.886145 | − | 0.511616i | ||||
\(89\) | 54.2968 | + | 31.3483i | 0.610077 | + | 0.352228i | 0.772995 | − | 0.634412i | \(-0.218758\pi\) |
−0.162919 | + | 0.986639i | \(0.552091\pi\) | |||||||
\(90\) | −50.9846 | + | 135.140i | −0.566496 | + | 1.50156i | ||||
\(91\) | −30.1570 | − | 51.0696i | −0.331396 | − | 0.561204i | ||||
\(92\) | 192.481 | 2.09219 | ||||||||
\(93\) | 32.9013 | − | 16.1743i | 0.353777 | − | 0.173917i | ||||
\(94\) | 38.1124 | + | 66.0126i | 0.405451 | + | 0.702262i | ||||
\(95\) | −22.7279 | + | 98.2282i | −0.239241 | + | 1.03398i | ||||
\(96\) | 92.4560 | − | 45.4516i | 0.963084 | − | 0.473454i | ||||
\(97\) | − | 140.539i | − | 1.44886i | −0.689348 | − | 0.724430i | \(-0.742103\pi\) | ||
0.689348 | − | 0.724430i | \(-0.257897\pi\) | |||||||
\(98\) | −81.2961 | − | 134.636i | −0.829552 | − | 1.37384i | ||||
\(99\) | 101.419 | − | 41.7142i | 1.02443 | − | 0.421355i | ||||
\(100\) | −141.546 | − | 69.2065i | −1.41546 | − | 0.692065i | ||||
\(101\) | −132.859 | + | 76.7059i | −1.31543 | + | 0.759465i | −0.982990 | − | 0.183659i | \(-0.941206\pi\) |
−0.332442 | + | 0.943124i | \(0.607872\pi\) | |||||||
\(102\) | −6.79546 | + | 101.742i | −0.0666221 | + | 0.997469i | ||||
\(103\) | 123.005 | + | 71.0169i | 1.19422 | + | 0.689485i | 0.959261 | − | 0.282520i | \(-0.0911704\pi\) |
0.234961 | + | 0.972005i | \(0.424504\pi\) | |||||||
\(104\) | 62.6128i | 0.602046i | ||||||||
\(105\) | 72.5603 | + | 75.8947i | 0.691050 | + | 0.722807i | ||||
\(106\) | −282.053 | −2.66088 | ||||||||
\(107\) | 28.5434 | − | 49.4386i | 0.266761 | − | 0.462043i | −0.701263 | − | 0.712903i | \(-0.747380\pi\) |
0.968023 | + | 0.250860i | \(0.0807134\pi\) | |||||||
\(108\) | −161.336 | + | 54.0964i | −1.49385 | + | 0.500893i | ||||
\(109\) | −88.6354 | − | 153.521i | −0.813169 | − | 1.40845i | −0.910635 | − | 0.413211i | \(-0.864407\pi\) |
0.0974665 | − | 0.995239i | \(-0.468926\pi\) | |||||||
\(110\) | 57.0822 | + | 187.031i | 0.518929 | + | 1.70029i | ||||
\(111\) | 55.5423 | − | 82.9018i | 0.500381 | − | 0.746863i | ||||
\(112\) | −0.102324 | − | 10.4275i | −0.000913610 | − | 0.0931027i | ||||
\(113\) | 8.70089 | 0.0769990 | 0.0384995 | − | 0.999259i | \(-0.487742\pi\) | ||||
0.0384995 | + | 0.999259i | \(0.487742\pi\) | |||||||
\(114\) | −174.252 | + | 85.6625i | −1.52852 | + | 0.751425i | ||||
\(115\) | −34.4234 | + | 148.775i | −0.299334 | + | 1.29370i | ||||
\(116\) | 234.099 | − | 135.157i | 2.01809 | − | 1.16515i | ||||
\(117\) | −10.1410 | + | 75.5770i | −0.0866751 | + | 0.645957i | ||||
\(118\) | − | 155.628i | − | 1.31888i | ||||||
\(119\) | 64.5562 | + | 36.4316i | 0.542489 | + | 0.306148i | ||||
\(120\) | −25.2203 | − | 107.942i | −0.210169 | − | 0.899517i | ||||
\(121\) | 13.7337 | − | 23.7875i | 0.113502 | − | 0.196591i | ||||
\(122\) | −33.6935 | − | 58.3588i | −0.276176 | − | 0.478351i | ||||
\(123\) | −19.1853 | − | 1.28141i | −0.155978 | − | 0.0104179i | ||||
\(124\) | −38.5095 | + | 66.7004i | −0.310560 | + | 0.537907i | ||||
\(125\) | 78.8061 | − | 97.0288i | 0.630449 | − | 0.776231i | ||||
\(126\) | −24.9242 | + | 200.671i | −0.197811 | + | 1.59263i | ||||
\(127\) | − | 58.7503i | − | 0.462601i | −0.972882 | − | 0.231300i | \(-0.925702\pi\) | ||
0.972882 | − | 0.231300i | \(-0.0742980\pi\) | |||||||
\(128\) | −98.6526 | + | 170.871i | −0.770724 | + | 1.33493i | ||||
\(129\) | −59.9358 | − | 4.00318i | −0.464618 | − | 0.0310324i | ||||
\(130\) | −132.475 | − | 30.6520i | −1.01904 | − | 0.235784i | ||||
\(131\) | −69.7084 | − | 40.2462i | −0.532125 | − | 0.307223i | 0.209756 | − | 0.977754i | \(-0.432733\pi\) |
−0.741881 | + | 0.670531i | \(0.766066\pi\) | |||||||
\(132\) | −128.229 | + | 191.393i | −0.971430 | + | 1.44994i | ||||
\(133\) | 1.38505 | + | 141.146i | 0.0104139 | + | 1.06125i | ||||
\(134\) | 72.7076i | 0.542594i | ||||||||
\(135\) | −12.9596 | − | 134.377i | −0.0959971 | − | 0.995382i | ||||
\(136\) | −39.1280 | − | 67.7717i | −0.287706 | − | 0.498321i | ||||
\(137\) | 5.95720 | + | 10.3182i | 0.0434832 | + | 0.0753151i | 0.886948 | − | 0.461870i | \(-0.152821\pi\) |
−0.843465 | + | 0.537185i | \(0.819488\pi\) | |||||||
\(138\) | −263.920 | + | 129.743i | −1.91246 | + | 0.940170i | ||||
\(139\) | 126.136 | 0.907450 | 0.453725 | − | 0.891142i | \(-0.350095\pi\) | ||||
0.453725 | + | 0.891142i | \(0.350095\pi\) | |||||||
\(140\) | −215.383 | − | 47.6132i | −1.53845 | − | 0.340095i | ||||
\(141\) | −59.1881 | − | 39.6547i | −0.419774 | − | 0.281239i | ||||
\(142\) | 6.78652 | + | 3.91820i | 0.0477924 | + | 0.0275930i | ||||
\(143\) | 51.6187 | + | 89.4063i | 0.360970 | + | 0.625219i | ||||
\(144\) | −8.18833 | + | 10.6165i | −0.0568634 | + | 0.0737258i | ||||
\(145\) | 62.6012 | + | 205.115i | 0.431732 | + | 1.41458i | ||||
\(146\) | − | 283.757i | − | 1.94354i | ||||||
\(147\) | 123.707 | + | 79.4083i | 0.841542 | + | 0.540192i | ||||
\(148\) | 209.633i | 1.41644i | ||||||||
\(149\) | 99.8945 | + | 57.6741i | 0.670433 | + | 0.387074i | 0.796241 | − | 0.604980i | \(-0.206819\pi\) |
−0.125808 | + | 0.992055i | \(0.540152\pi\) | |||||||
\(150\) | 240.729 | − | 0.518085i | 1.60486 | − | 0.00345390i | ||||
\(151\) | 139.800 | + | 242.140i | 0.925827 | + | 1.60358i | 0.790226 | + | 0.612815i | \(0.209963\pi\) |
0.135600 | + | 0.990764i | \(0.456704\pi\) | |||||||
\(152\) | 74.5079 | − | 129.051i | 0.490184 | − | 0.849023i | ||||
\(153\) | −36.2530 | − | 88.1413i | −0.236948 | − | 0.576087i | ||||
\(154\) | 139.204 | + | 235.735i | 0.903920 | + | 1.53075i | ||||
\(155\) | −44.6679 | − | 41.6940i | −0.288180 | − | 0.268994i | ||||
\(156\) | −70.6734 | − | 143.762i | −0.453035 | − | 0.921548i | ||||
\(157\) | 23.3925 | − | 13.5057i | 0.148997 | − | 0.0860235i | −0.423648 | − | 0.905827i | \(-0.639251\pi\) |
0.572645 | + | 0.819803i | \(0.305917\pi\) | |||||||
\(158\) | 10.2798 | + | 17.8052i | 0.0650621 | + | 0.112691i | ||||
\(159\) | 236.581 | − | 116.304i | 1.48793 | − | 0.731470i | ||||
\(160\) | −125.522 | − | 117.165i | −0.784510 | − | 0.732279i | ||||
\(161\) | 2.09779 | + | 213.778i | 0.0130297 | + | 1.32781i | ||||
\(162\) | 184.751 | − | 182.924i | 1.14044 | − | 1.12916i | ||||
\(163\) | −238.591 | − | 137.750i | −1.46375 | − | 0.845094i | −0.464565 | − | 0.885539i | \(-0.653789\pi\) |
−0.999182 | + | 0.0404450i | \(0.987122\pi\) | |||||||
\(164\) | 34.9822 | − | 20.1970i | 0.213306 | − | 0.123152i | ||||
\(165\) | −125.001 | − | 133.341i | −0.757584 | − | 0.808127i | ||||
\(166\) | 166.195 | − | 287.859i | 1.00118 | − | 1.73409i | ||||
\(167\) | 8.17643 | 0.0489607 | 0.0244803 | − | 0.999700i | \(-0.492207\pi\) | ||||
0.0244803 | + | 0.999700i | \(0.492207\pi\) | |||||||
\(168\) | −69.8286 | − | 138.591i | −0.415646 | − | 0.824948i | ||||
\(169\) | 97.2133 | 0.575227 | ||||||||
\(170\) | 162.546 | − | 49.6091i | 0.956151 | − | 0.291818i | ||||
\(171\) | 110.837 | − | 143.704i | 0.648167 | − | 0.840377i | ||||
\(172\) | 109.286 | − | 63.0964i | 0.635384 | − | 0.366839i | ||||
\(173\) | 42.5110 | − | 73.6312i | 0.245728 | − | 0.425614i | −0.716608 | − | 0.697476i | \(-0.754306\pi\) |
0.962336 | + | 0.271862i | \(0.0876395\pi\) | |||||||
\(174\) | −229.880 | + | 343.116i | −1.32115 | + | 1.97193i | ||||
\(175\) | 75.3209 | − | 157.961i | 0.430405 | − | 0.902636i | ||||
\(176\) | 18.1518i | 0.103135i | ||||||||
\(177\) | 64.1728 | + | 130.538i | 0.362558 | + | 0.737504i | ||||
\(178\) | 174.278 | − | 100.619i | 0.979090 | − | 0.565278i | ||||
\(179\) | −107.239 | + | 61.9145i | −0.599101 | + | 0.345891i | −0.768688 | − | 0.639624i | \(-0.779090\pi\) |
0.169587 | + | 0.985515i | \(0.445757\pi\) | |||||||
\(180\) | 179.745 | + | 219.372i | 0.998584 | + | 1.21873i | ||||
\(181\) | −169.201 | −0.934815 | −0.467407 | − | 0.884042i | \(-0.654812\pi\) | ||||
−0.467407 | + | 0.884042i | \(0.654812\pi\) | |||||||
\(182\) | −190.356 | + | 1.86795i | −1.04591 | + | 0.0102635i | ||||
\(183\) | 52.3256 | + | 35.0570i | 0.285932 | + | 0.191568i | ||||
\(184\) | 112.849 | − | 195.460i | 0.613309 | − | 1.06228i | ||||
\(185\) | −162.033 | − | 37.4909i | −0.875853 | − | 0.202653i | ||||
\(186\) | 7.84218 | − | 117.413i | 0.0421623 | − | 0.631255i | ||||
\(187\) | −111.744 | − | 64.5152i | −0.597559 | − | 0.345001i | ||||
\(188\) | 149.669 | 0.796110 | ||||||||
\(189\) | −61.8401 | − | 178.597i | −0.327196 | − | 0.944956i | ||||
\(190\) | 236.570 | + | 220.820i | 1.24511 | + | 1.16221i | ||||
\(191\) | −110.601 | − | 63.8554i | −0.579062 | − | 0.334322i | 0.181699 | − | 0.983354i | \(-0.441841\pi\) |
−0.760761 | + | 0.649033i | \(0.775174\pi\) | |||||||
\(192\) | 20.8460 | − | 312.107i | 0.108573 | − | 1.62556i | ||||
\(193\) | −107.040 | + | 61.7995i | −0.554611 | + | 0.320205i | −0.750980 | − | 0.660325i | \(-0.770418\pi\) |
0.196369 | + | 0.980530i | \(0.437085\pi\) | |||||||
\(194\) | −390.658 | − | 225.547i | −2.01370 | − | 1.16261i | ||||
\(195\) | 123.757 | − | 28.9155i | 0.634653 | − | 0.148285i | ||||
\(196\) | −308.756 | + | 6.06019i | −1.57529 | + | 0.0309193i | ||||
\(197\) | −22.5579 | −0.114507 | −0.0572536 | − | 0.998360i | \(-0.518234\pi\) | ||||
−0.0572536 | + | 0.998360i | \(0.518234\pi\) | |||||||
\(198\) | 46.8104 | − | 348.860i | 0.236416 | − | 1.76192i | ||||
\(199\) | 17.2597 | + | 29.8946i | 0.0867319 | + | 0.150224i | 0.906128 | − | 0.423004i | \(-0.139024\pi\) |
−0.819396 | + | 0.573228i | \(0.805691\pi\) | |||||||
\(200\) | −153.264 | + | 103.162i | −0.766318 | + | 0.515808i | ||||
\(201\) | −29.9808 | − | 60.9859i | −0.149158 | − | 0.303412i | ||||
\(202\) | 492.411i | 2.43768i | ||||||||
\(203\) | 152.663 | + | 258.527i | 0.752032 | + | 1.27353i | ||||
\(204\) | 166.336 | + | 111.441i | 0.815372 | + | 0.546281i | ||||
\(205\) | 9.35470 | + | 30.6509i | 0.0456327 | + | 0.149517i | ||||
\(206\) | 394.812 | − | 227.945i | 1.91657 | − | 1.10653i | ||||
\(207\) | 167.872 | − | 217.653i | 0.810975 | − | 1.05146i | ||||
\(208\) | −10.9309 | − | 6.31095i | −0.0525524 | − | 0.0303411i | ||||
\(209\) | − | 245.701i | − | 1.17560i | ||||||
\(210\) | 327.414 | − | 79.8955i | 1.55912 | − | 0.380455i | ||||
\(211\) | 76.0725 | 0.360533 | 0.180267 | − | 0.983618i | \(-0.442304\pi\) | ||||
0.180267 | + | 0.983618i | \(0.442304\pi\) | |||||||
\(212\) | −276.908 | + | 479.618i | −1.30617 | + | 2.26235i | ||||
\(213\) | −7.30808 | − | 0.488115i | −0.0343102 | − | 0.00229162i | ||||
\(214\) | −91.6165 | − | 158.684i | −0.428114 | − | 0.741516i | ||||
\(215\) | 29.2246 | + | 95.7551i | 0.135928 | + | 0.445372i | ||||
\(216\) | −39.6551 | + | 195.548i | −0.183589 | + | 0.905316i | ||||
\(217\) | −74.5000 | − | 42.0433i | −0.343318 | − | 0.193748i | ||||
\(218\) | −568.991 | −2.61005 | ||||||||
\(219\) | 117.006 | + | 238.010i | 0.534275 | + | 1.08680i | ||||
\(220\) | 374.080 | + | 86.5540i | 1.70036 | + | 0.393427i | ||||
\(221\) | 77.7014 | − | 44.8609i | 0.351590 | − | 0.202991i | ||||
\(222\) | −141.305 | − | 287.438i | −0.636508 | − | 1.29476i | ||||
\(223\) | 312.738i | 1.40241i | 0.712959 | + | 0.701206i | \(0.247355\pi\) | ||||
−0.712959 | + | 0.701206i | \(0.752645\pi\) | |||||||
\(224\) | −209.353 | − | 118.146i | −0.934611 | − | 0.527438i | ||||
\(225\) | −201.706 | + | 99.6985i | −0.896470 | + | 0.443105i | ||||
\(226\) | 13.9638 | − | 24.1859i | 0.0617865 | − | 0.107017i | ||||
\(227\) | −34.4570 | − | 59.6813i | −0.151793 | − | 0.262913i | 0.780094 | − | 0.625663i | \(-0.215171\pi\) |
−0.931887 | + | 0.362750i | \(0.881838\pi\) | |||||||
\(228\) | −25.4079 | + | 380.407i | −0.111438 | + | 1.66845i | ||||
\(229\) | −172.075 | + | 298.043i | −0.751419 | + | 1.30150i | 0.195716 | + | 0.980661i | \(0.437297\pi\) |
−0.947135 | + | 0.320835i | \(0.896036\pi\) | |||||||
\(230\) | 358.307 | + | 334.451i | 1.55786 | + | 1.45414i | ||||
\(231\) | −213.966 | − | 140.330i | −0.926261 | − | 0.607490i | ||||
\(232\) | − | 316.962i | − | 1.36622i | ||||||
\(233\) | 20.0104 | − | 34.6590i | 0.0858816 | − | 0.148751i | −0.819885 | − | 0.572528i | \(-0.805963\pi\) |
0.905767 | + | 0.423777i | \(0.139296\pi\) | |||||||
\(234\) | 193.807 | + | 149.480i | 0.828235 | + | 0.638802i | ||||
\(235\) | −26.7668 | + | 115.684i | −0.113901 | + | 0.492272i | ||||
\(236\) | −264.639 | − | 152.789i | −1.12135 | − | 0.647412i | ||||
\(237\) | −15.9644 | − | 10.6958i | −0.0673605 | − | 0.0451300i | ||||
\(238\) | 204.873 | − | 120.979i | 0.860811 | − | 0.508317i | ||||
\(239\) | − | 341.734i | − | 1.42985i | −0.699201 | − | 0.714925i | \(-0.746461\pi\) | ||
0.699201 | − | 0.714925i | \(-0.253539\pi\) | |||||||
\(240\) | 21.3865 | + | 6.47689i | 0.0891103 | + | 0.0269870i | ||||
\(241\) | −64.0475 | − | 110.934i | −0.265757 | − | 0.460305i | 0.702004 | − | 0.712173i | \(-0.252289\pi\) |
−0.967762 | + | 0.251867i | \(0.918955\pi\) | |||||||
\(242\) | −44.0815 | − | 76.3514i | −0.182155 | − | 0.315502i | ||||
\(243\) | −79.5375 | + | 229.614i | −0.327315 | + | 0.944915i | ||||
\(244\) | −132.316 | −0.542277 | ||||||||
\(245\) | 50.5339 | − | 239.732i | 0.206261 | − | 0.978497i | ||||
\(246\) | −34.3517 | + | 51.2729i | −0.139641 | + | 0.208427i | ||||
\(247\) | 147.960 | + | 85.4246i | 0.599027 | + | 0.345849i | ||||
\(248\) | 45.1550 | + | 78.2108i | 0.182077 | + | 0.315366i | ||||
\(249\) | −20.7040 | + | 309.981i | −0.0831486 | + | 1.24490i | ||||
\(250\) | −143.238 | − | 374.776i | −0.572954 | − | 1.49910i | ||||
\(251\) | 201.118i | 0.801266i | 0.916239 | + | 0.400633i | \(0.131210\pi\) | ||||
−0.916239 | + | 0.400633i | \(0.868790\pi\) | |||||||
\(252\) | 316.763 | + | 239.393i | 1.25699 | + | 0.949972i | ||||
\(253\) | − | 372.136i | − | 1.47089i | ||||||
\(254\) | −163.309 | − | 94.2863i | −0.642947 | − | 0.371206i | ||||
\(255\) | −115.884 | + | 108.636i | −0.454448 | + | 0.426025i | ||||
\(256\) | 108.113 | + | 187.257i | 0.422316 | + | 0.731473i | ||||
\(257\) | 126.605 | − | 219.286i | 0.492626 | − | 0.853253i | −0.507338 | − | 0.861747i | \(-0.669371\pi\) |
0.999964 | + | 0.00849432i | \(0.00270386\pi\) | |||||||
\(258\) | −107.316 | + | 160.179i | −0.415955 | + | 0.620850i | ||||
\(259\) | −232.828 | + | 2.28472i | −0.898949 | + | 0.00882132i | ||||
\(260\) | −182.181 | + | 195.176i | −0.700697 | + | 0.750676i | ||||
\(261\) | 51.3363 | − | 382.590i | 0.196691 | − | 1.46586i | ||||
\(262\) | −223.745 | + | 129.179i | −0.853989 | + | 0.493051i | ||||
\(263\) | −90.9512 | − | 157.532i | −0.345822 | − | 0.598982i | 0.639681 | − | 0.768641i | \(-0.279067\pi\) |
−0.985503 | + | 0.169659i | \(0.945733\pi\) | |||||||
\(264\) | 119.176 | + | 242.423i | 0.451424 | + | 0.918270i | ||||
\(265\) | −321.191 | − | 299.806i | −1.21204 | − | 1.13134i | ||||
\(266\) | 394.567 | + | 222.670i | 1.48333 | + | 0.837105i | ||||
\(267\) | −104.691 | + | 156.261i | −0.392102 | + | 0.585247i | ||||
\(268\) | 123.636 | + | 71.3814i | 0.461329 | + | 0.266348i | ||||
\(269\) | 224.807 | − | 129.792i | 0.835714 | − | 0.482499i | −0.0200914 | − | 0.999798i | \(-0.506396\pi\) |
0.855805 | + | 0.517299i | \(0.173062\pi\) | |||||||
\(270\) | −394.326 | − | 179.632i | −1.46047 | − | 0.665304i | ||||
\(271\) | −17.7512 | + | 30.7460i | −0.0655026 | + | 0.113454i | −0.896917 | − | 0.442199i | \(-0.854198\pi\) |
0.831414 | + | 0.555653i | \(0.187532\pi\) | |||||||
\(272\) | 15.7754 | 0.0579977 | ||||||||
\(273\) | 158.897 | − | 80.0597i | 0.582041 | − | 0.293259i | ||||
\(274\) | 38.2420 | 0.139569 | ||||||||
\(275\) | −133.801 | + | 273.659i | −0.486549 | + | 0.995125i | ||||
\(276\) | −38.4824 | + | 576.161i | −0.139429 | + | 2.08754i | ||||
\(277\) | −310.160 | + | 179.071i | −1.11971 | + | 0.646466i | −0.941327 | − | 0.337495i | \(-0.890421\pi\) |
−0.178385 | + | 0.983961i | \(0.557087\pi\) | |||||||
\(278\) | 202.431 | − | 350.620i | 0.728167 | − | 1.26122i | ||||
\(279\) | 41.8372 | + | 101.718i | 0.149954 | + | 0.364581i | ||||
\(280\) | −174.625 | + | 190.800i | −0.623662 | + | 0.681430i | ||||
\(281\) | 193.923i | 0.690117i | 0.938581 | + | 0.345058i | \(0.112141\pi\) | ||||
−0.938581 | + | 0.345058i | \(0.887859\pi\) | |||||||
\(282\) | −205.217 | + | 100.885i | −0.727721 | + | 0.357749i | ||||
\(283\) | 111.089 | − | 64.1371i | 0.392539 | − | 0.226633i | −0.290720 | − | 0.956808i | \(-0.593895\pi\) |
0.683260 | + | 0.730175i | \(0.260562\pi\) | |||||||
\(284\) | 13.3255 | − | 7.69345i | 0.0469206 | − | 0.0270896i | ||||
\(285\) | −289.486 | − | 87.6707i | −1.01574 | − | 0.307617i | ||||
\(286\) | 331.364 | 1.15862 | ||||||||
\(287\) | 22.8129 | + | 38.6326i | 0.0794873 | + | 0.134608i | ||||
\(288\) | 117.567 | + | 285.838i | 0.408219 | + | 0.992495i | ||||
\(289\) | 88.4310 | − | 153.167i | 0.305990 | − | 0.529990i | ||||
\(290\) | 670.625 | + | 155.168i | 2.31250 | + | 0.535062i | ||||
\(291\) | 420.681 | + | 28.0978i | 1.44564 | + | 0.0965560i | ||||
\(292\) | −482.516 | − | 278.581i | −1.65245 | − | 0.954043i | ||||
\(293\) | −430.914 | −1.47070 | −0.735348 | − | 0.677689i | \(-0.762981\pi\) | ||||
−0.735348 | + | 0.677689i | \(0.762981\pi\) | |||||||
\(294\) | 419.264 | − | 216.429i | 1.42607 | − | 0.736152i | ||||
\(295\) | 165.424 | − | 177.223i | 0.560760 | − | 0.600757i | ||||
\(296\) | 212.877 | + | 122.905i | 0.719180 | + | 0.415219i | ||||
\(297\) | 104.588 | + | 311.920i | 0.352147 | + | 1.05024i | ||||
\(298\) | 320.634 | − | 185.118i | 1.07595 | − | 0.621202i | ||||
\(299\) | 224.098 | + | 129.383i | 0.749492 | + | 0.432719i | ||||
\(300\) | 235.457 | − | 409.858i | 0.784856 | − | 1.36619i | ||||
\(301\) | 71.2685 | + | 120.690i | 0.236773 | + | 0.400964i | ||||
\(302\) | 897.439 | 2.97165 | ||||||||
\(303\) | −203.044 | − | 413.025i | −0.670112 | − | 1.36312i | ||||
\(304\) | 15.0198 | + | 26.0151i | 0.0494072 | + | 0.0855758i | ||||
\(305\) | 23.6633 | − | 102.271i | 0.0775847 | − | 0.335315i | ||||
\(306\) | −303.188 | − | 40.6821i | −0.990811 | − | 0.132948i | ||||
\(307\) | 204.653i | 0.666622i | 0.942817 | + | 0.333311i | \(0.108166\pi\) | ||||
−0.942817 | + | 0.333311i | \(0.891834\pi\) | |||||||
\(308\) | 537.521 | − | 5.27466i | 1.74520 | − | 0.0171255i | ||||
\(309\) | −237.169 | + | 353.996i | −0.767538 | + | 1.14562i | ||||
\(310\) | −187.583 | + | 57.2506i | −0.605107 | + | 0.184679i | ||||
\(311\) | −338.495 | + | 195.430i | −1.08841 | + | 0.628393i | −0.933153 | − | 0.359481i | \(-0.882954\pi\) |
−0.155257 | + | 0.987874i | \(0.549621\pi\) | |||||||
\(312\) | −187.421 | − | 12.5181i | −0.600708 | − | 0.0401220i | ||||
\(313\) | 222.263 | + | 128.323i | 0.710104 | + | 0.409979i | 0.811100 | − | 0.584908i | \(-0.198869\pi\) |
−0.100996 | + | 0.994887i | \(0.532203\pi\) | |||||||
\(314\) | − | 86.6992i | − | 0.276112i | ||||||
\(315\) | −241.685 | + | 202.023i | −0.767253 | + | 0.641344i | ||||
\(316\) | 40.3692 | 0.127751 | ||||||||
\(317\) | −159.906 | + | 276.965i | −0.504435 | + | 0.873707i | 0.495552 | + | 0.868578i | \(0.334966\pi\) |
−0.999987 | + | 0.00512853i | \(0.998368\pi\) | |||||||
\(318\) | 56.3903 | − | 844.277i | 0.177328 | − | 2.65496i | ||||
\(319\) | −261.307 | − | 452.597i | −0.819145 | − | 1.41880i | ||||
\(320\) | −498.632 | + | 152.183i | −1.55822 | + | 0.475572i | ||||
\(321\) | 142.279 | + | 95.3239i | 0.443238 | + | 0.296959i | ||||
\(322\) | 597.607 | + | 337.253i | 1.85592 | + | 1.04737i | ||||
\(323\) | −213.534 | −0.661097 | ||||||||
\(324\) | −129.673 | − | 493.747i | −0.400225 | − | 1.52391i | ||||
\(325\) | −118.277 | − | 175.719i | −0.363928 | − | 0.540675i | ||||
\(326\) | −765.811 | + | 442.141i | −2.34911 | + | 1.35626i | ||||
\(327\) | 477.260 | − | 234.622i | 1.45951 | − | 0.717498i | ||||
\(328\) | − | 47.3647i | − | 0.144404i | ||||||
\(329\) | 1.63119 | + | 166.228i | 0.00495801 | + | 0.505253i | ||||
\(330\) | −571.259 | + | 133.473i | −1.73109 | + | 0.404464i | ||||
\(331\) | −144.224 | + | 249.804i | −0.435723 | + | 0.754694i | −0.997354 | − | 0.0726932i | \(-0.976841\pi\) |
0.561631 | + | 0.827388i | \(0.310174\pi\) | |||||||
\(332\) | −326.327 | − | 565.215i | −0.982914 | − | 1.70246i | ||||
\(333\) | 237.048 | + | 182.831i | 0.711856 | + | 0.549042i | ||||
\(334\) | 13.1221 | − | 22.7281i | 0.0392876 | − | 0.0680482i | ||||
\(335\) | −77.2842 | + | 82.7967i | −0.230699 | + | 0.247154i | ||||
\(336\) | 31.2334 | + | 1.77846i | 0.0929566 | + | 0.00529303i | ||||
\(337\) | − | 380.518i | − | 1.12913i | −0.825387 | − | 0.564567i | \(-0.809043\pi\) | ||
0.825387 | − | 0.564567i | \(-0.190957\pi\) | |||||||
\(338\) | 156.014 | − | 270.225i | 0.461581 | − | 0.799481i | ||||
\(339\) | −1.73955 | + | 26.0446i | −0.00513142 | + | 0.0768279i | ||||
\(340\) | 75.2225 | − | 325.106i | 0.221243 | − | 0.956194i | ||||
\(341\) | 128.956 | + | 74.4527i | 0.378170 | + | 0.218336i | ||||
\(342\) | −221.578 | − | 538.719i | −0.647890 | − | 1.57520i | ||||
\(343\) | −10.0957 | − | 342.851i | −0.0294336 | − | 0.999567i | ||||
\(344\) | − | 147.970i | − | 0.430144i | ||||||
\(345\) | −438.452 | − | 132.785i | −1.27087 | − | 0.384884i | ||||
\(346\) | −136.449 | − | 236.336i | −0.394361 | − | 0.683053i | ||||
\(347\) | −85.3529 | − | 147.836i | −0.245974 | − | 0.426039i | 0.716431 | − | 0.697658i | \(-0.245774\pi\) |
−0.962405 | + | 0.271619i | \(0.912441\pi\) | |||||||
\(348\) | 357.767 | + | 727.757i | 1.02807 | + | 2.09126i | ||||
\(349\) | 549.147 | 1.57349 | 0.786744 | − | 0.617280i | \(-0.211765\pi\) | ||||
0.786744 | + | 0.617280i | \(0.211765\pi\) | |||||||
\(350\) | −318.206 | − | 462.877i | −0.909160 | − | 1.32250i | ||||
\(351\) | −224.199 | − | 45.4653i | −0.638745 | − | 0.129531i | ||||
\(352\) | 362.380 | + | 209.220i | 1.02949 | + | 0.594375i | ||||
\(353\) | 153.623 | + | 266.082i | 0.435192 | + | 0.753775i | 0.997311 | − | 0.0732815i | \(-0.0233472\pi\) |
−0.562119 | + | 0.827056i | \(0.690014\pi\) | |||||||
\(354\) | 465.847 | + | 31.1145i | 1.31595 | + | 0.0878939i | ||||
\(355\) | 3.56340 | + | 11.6756i | 0.0100378 | + | 0.0328890i | ||||
\(356\) | − | 395.136i | − | 1.10993i | ||||||
\(357\) | −121.959 | + | 185.954i | −0.341620 | + | 0.520880i | ||||
\(358\) | 397.457i | 1.11022i | ||||||||
\(359\) | −94.3043 | − | 54.4466i | −0.262686 | − | 0.151662i | 0.362873 | − | 0.931839i | \(-0.381796\pi\) |
−0.625559 | + | 0.780177i | \(0.715129\pi\) | |||||||
\(360\) | 328.148 | − | 53.9121i | 0.911523 | − | 0.149756i | ||||
\(361\) | −22.8069 | − | 39.5027i | −0.0631770 | − | 0.109426i | ||||
\(362\) | −271.545 | + | 470.330i | −0.750125 | + | 1.29926i | ||||
\(363\) | 68.4581 | + | 45.8653i | 0.188590 | + | 0.126351i | ||||
\(364\) | −183.708 | + | 325.526i | −0.504691 | + | 0.894303i | ||||
\(365\) | 301.618 | − | 323.131i | 0.826349 | − | 0.885291i | ||||
\(366\) | 181.424 | − | 89.1882i | 0.495693 | − | 0.243684i | ||||
\(367\) | −99.8081 | + | 57.6242i | −0.271957 | + | 0.157014i | −0.629776 | − | 0.776776i | \(-0.716854\pi\) |
0.357820 | + | 0.933791i | \(0.383520\pi\) | |||||||
\(368\) | 22.7488 | + | 39.4021i | 0.0618174 | + | 0.107071i | ||||
\(369\) | 7.67135 | − | 57.1717i | 0.0207896 | − | 0.154937i | ||||
\(370\) | −364.254 | + | 390.236i | −0.984471 | + | 1.05469i | ||||
\(371\) | −535.702 | − | 302.318i | −1.44394 | − | 0.814874i | ||||
\(372\) | −191.957 | − | 128.607i | −0.516014 | − | 0.345718i | ||||
\(373\) | 77.4504 | + | 44.7160i | 0.207642 | + | 0.119882i | 0.600215 | − | 0.799839i | \(-0.295082\pi\) |
−0.392573 | + | 0.919721i | \(0.628415\pi\) | |||||||
\(374\) | −358.667 | + | 207.076i | −0.959002 | + | 0.553680i | ||||
\(375\) | 274.684 | + | 255.292i | 0.732490 | + | 0.680778i | ||||
\(376\) | 87.7484 | − | 151.985i | 0.233373 | − | 0.404214i | ||||
\(377\) | 363.402 | 0.963932 | ||||||||
\(378\) | −595.692 | − | 114.726i | −1.57590 | − | 0.303509i | ||||
\(379\) | 221.030 | 0.583193 | 0.291596 | − | 0.956541i | \(-0.405814\pi\) | ||||
0.291596 | + | 0.956541i | \(0.405814\pi\) | |||||||
\(380\) | 607.750 | − | 185.486i | 1.59934 | − | 0.488121i | ||||
\(381\) | 175.859 | + | 11.7458i | 0.461572 | + | 0.0308290i | ||||
\(382\) | −354.999 | + | 204.959i | −0.929316 | + | 0.536541i | ||||
\(383\) | 93.5845 | − | 162.093i | 0.244346 | − | 0.423220i | −0.717602 | − | 0.696454i | \(-0.754760\pi\) |
0.961948 | + | 0.273234i | \(0.0880934\pi\) | |||||||
\(384\) | −491.751 | − | 329.462i | −1.28060 | − | 0.857974i | ||||
\(385\) | −92.0535 | + | 416.412i | −0.239100 | + | 1.08159i | ||||
\(386\) | 396.719i | 1.02777i | ||||||||
\(387\) | 23.9657 | − | 178.607i | 0.0619268 | − | 0.461517i | ||||
\(388\) | −767.065 | + | 442.865i | −1.97697 | + | 1.14140i | ||||
\(389\) | 183.652 | − | 106.032i | 0.472113 | − | 0.272575i | −0.245011 | − | 0.969520i | \(-0.578791\pi\) |
0.717124 | + | 0.696946i | \(0.245458\pi\) | |||||||
\(390\) | 118.237 | − | 390.415i | 0.303172 | − | 1.00106i | ||||
\(391\) | −323.416 | −0.827152 | ||||||||
\(392\) | −174.865 | + | 317.087i | −0.446084 | + | 0.808895i | ||||
\(393\) | 134.407 | − | 200.614i | 0.342002 | − | 0.510468i | ||||
\(394\) | −36.2024 | + | 62.7044i | −0.0918843 | + | 0.159148i | ||||
\(395\) | −7.21963 | + | 31.2027i | −0.0182776 | + | 0.0789942i | ||||
\(396\) | −547.265 | − | 422.096i | −1.38198 | − | 1.06590i | ||||
\(397\) | 514.877 | + | 297.264i | 1.29692 | + | 0.748776i | 0.979871 | − | 0.199634i | \(-0.0639752\pi\) |
0.317048 | + | 0.948410i | \(0.397308\pi\) | |||||||
\(398\) | 110.798 | 0.278386 | ||||||||
\(399\) | −422.773 | − | 24.0731i | −1.05958 | − | 0.0603336i | ||||
\(400\) | −2.56193 | − | 37.1546i | −0.00640483 | − | 0.0928866i | ||||
\(401\) | 400.309 | + | 231.118i | 0.998277 | + | 0.576355i | 0.907738 | − | 0.419538i | \(-0.137808\pi\) |
0.0905387 | + | 0.995893i | \(0.471141\pi\) | |||||||
\(402\) | −217.638 | − | 14.5363i | −0.541388 | − | 0.0361600i | ||||
\(403\) | −89.6700 | + | 51.7710i | −0.222506 | + | 0.128464i | ||||
\(404\) | 837.322 | + | 483.428i | 2.07258 | + | 1.19660i | ||||
\(405\) | 404.824 | − | 11.9267i | 0.999566 | − | 0.0294487i | ||||
\(406\) | 963.632 | − | 9.45606i | 2.37348 | − | 0.0232908i | ||||
\(407\) | 405.297 | 0.995815 | ||||||||
\(408\) | 210.686 | − | 103.574i | 0.516387 | − | 0.253857i | ||||
\(409\) | −105.366 | − | 182.500i | −0.257620 | − | 0.446211i | 0.707984 | − | 0.706228i | \(-0.249605\pi\) |
−0.965604 | + | 0.260018i | \(0.916272\pi\) | |||||||
\(410\) | 100.214 | + | 23.1873i | 0.244424 | + | 0.0565544i | ||||
\(411\) | −32.0767 | + | 15.7690i | −0.0780455 | + | 0.0383673i | ||||
\(412\) | − | 895.148i | − | 2.17269i | ||||||
\(413\) | 166.810 | − | 295.584i | 0.403898 | − | 0.715700i | ||||
\(414\) | −335.600 | − | 815.938i | −0.810628 | − | 1.97087i | ||||
\(415\) | 495.235 | − | 151.146i | 1.19334 | − | 0.364207i | ||||
\(416\) | −251.982 | + | 145.482i | −0.605727 | + | 0.349716i | ||||
\(417\) | −25.2181 | + | 377.566i | −0.0604749 | + | 0.905433i | ||||
\(418\) | −682.976 | − | 394.317i | −1.63391 | − | 0.943341i | ||||
\(419\) | 97.7368i | 0.233262i | 0.993175 | + | 0.116631i | \(0.0372095\pi\) | ||||
−0.993175 | + | 0.116631i | \(0.962791\pi\) | |||||||
\(420\) | 185.583 | − | 635.192i | 0.441865 | − | 1.51236i | ||||
\(421\) | 576.919 | 1.37035 | 0.685177 | − | 0.728376i | \(-0.259725\pi\) | ||||
0.685177 | + | 0.728376i | \(0.259725\pi\) | |||||||
\(422\) | 122.086 | − | 211.459i | 0.289303 | − | 0.501088i | ||||
\(423\) | 130.533 | − | 169.241i | 0.308588 | − | 0.400098i | ||||
\(424\) | 324.693 | + | 562.385i | 0.765786 | + | 1.32638i | ||||
\(425\) | 237.832 | + | 116.284i | 0.559606 | + | 0.273609i | ||||
\(426\) | −13.0853 | + | 19.5309i | −0.0307166 | + | 0.0458473i | ||||
\(427\) | −1.44206 | − | 146.955i | −0.00337719 | − | 0.344157i | ||||
\(428\) | −359.781 | −0.840610 | ||||||||
\(429\) | −277.943 | + | 136.637i | −0.647885 | + | 0.318502i | ||||
\(430\) | 313.072 | + | 72.4382i | 0.728076 | + | 0.168461i | ||||
\(431\) | 146.182 | − | 84.3983i | 0.339170 | − | 0.195820i | −0.320735 | − | 0.947169i | \(-0.603930\pi\) |
0.659905 | + | 0.751349i | \(0.270597\pi\) | |||||||
\(432\) | −30.1417 | − | 26.6329i | −0.0697724 | − | 0.0616503i | ||||
\(433\) | 328.967i | 0.759739i | 0.925040 | + | 0.379870i | \(0.124031\pi\) | ||||
−0.925040 | + | 0.379870i | \(0.875969\pi\) | |||||||
\(434\) | −236.430 | + | 139.614i | −0.544771 | + | 0.321692i | ||||
\(435\) | −626.491 | + | 146.378i | −1.44021 | + | 0.336501i | ||||
\(436\) | −558.612 | + | 967.544i | −1.28122 | + | 2.21914i | ||||
\(437\) | −307.926 | − | 533.344i | −0.704637 | − | 1.22047i | ||||
\(438\) | 849.377 | + | 56.7309i | 1.93922 | + | 0.129523i | ||||
\(439\) | 110.035 | − | 190.586i | 0.250649 | − | 0.434136i | −0.713056 | − | 0.701107i | \(-0.752689\pi\) |
0.963705 | + | 0.266971i | \(0.0860228\pi\) | |||||||
\(440\) | 307.210 | − | 329.123i | 0.698205 | − | 0.748006i | ||||
\(441\) | −262.428 | + | 354.419i | −0.595074 | + | 0.803671i | ||||
\(442\) | − | 287.983i | − | 0.651545i | ||||||
\(443\) | −98.0040 | + | 169.748i | −0.221228 | + | 0.383178i | −0.955181 | − | 0.296022i | \(-0.904340\pi\) |
0.733953 | + | 0.679200i | \(0.237673\pi\) | |||||||
\(444\) | −627.502 | − | 41.9116i | −1.41329 | − | 0.0943955i | ||||
\(445\) | 305.414 | + | 70.6662i | 0.686324 | + | 0.158801i | ||||
\(446\) | 869.319 | + | 501.902i | 1.94915 | + | 1.12534i | ||||
\(447\) | −192.609 | + | 287.487i | −0.430893 | + | 0.643147i | ||||
\(448\) | −628.477 | + | 371.121i | −1.40285 | + | 0.828396i | ||||
\(449\) | − | 434.253i | − | 0.967156i | −0.875301 | − | 0.483578i | \(-0.839337\pi\) | ||
0.875301 | − | 0.483578i | \(-0.160663\pi\) | |||||||
\(450\) | −46.5777 | + | 720.685i | −0.103506 | + | 1.60152i | ||||
\(451\) | −39.0480 | − | 67.6331i | −0.0865809 | − | 0.149963i | ||||
\(452\) | −27.4181 | − | 47.4895i | −0.0606594 | − | 0.105065i | ||||
\(453\) | −752.756 | + | 370.056i | −1.66171 | + | 0.816902i | ||||
\(454\) | −221.195 | −0.487214 | ||||||||
\(455\) | −218.756 | − | 200.211i | −0.480782 | − | 0.440024i | ||||
\(456\) | 371.397 | + | 248.828i | 0.814468 | + | 0.545675i | ||||
\(457\) | −18.5054 | − | 10.6841i | −0.0404932 | − | 0.0233787i | 0.479617 | − | 0.877478i | \(-0.340776\pi\) |
−0.520110 | + | 0.854099i | \(0.674109\pi\) | |||||||
\(458\) | 552.314 | + | 956.636i | 1.20593 | + | 2.08872i | ||||
\(459\) | 271.084 | − | 90.8954i | 0.590597 | − | 0.198029i | ||||
\(460\) | 920.491 | − | 280.935i | 2.00107 | − | 0.610728i | ||||
\(461\) | 759.274i | 1.64702i | 0.567305 | + | 0.823508i | \(0.307986\pi\) | ||||
−0.567305 | + | 0.823508i | \(0.692014\pi\) | |||||||
\(462\) | −733.464 | + | 369.552i | −1.58758 | + | 0.799897i | ||||
\(463\) | − | 242.225i | − | 0.523164i | −0.965181 | − | 0.261582i | \(-0.915756\pi\) | ||
0.965181 | − | 0.261582i | \(-0.0842443\pi\) | |||||||
\(464\) | 55.3349 | + | 31.9476i | 0.119256 | + | 0.0688527i | ||||
\(465\) | 133.734 | − | 125.370i | 0.287601 | − | 0.269613i | ||||
\(466\) | −64.2280 | − | 111.246i | −0.137828 | − | 0.238726i | ||||
\(467\) | −207.939 | + | 360.160i | −0.445265 | + | 0.771221i | −0.998071 | − | 0.0620891i | \(-0.980224\pi\) |
0.552806 | + | 0.833310i | \(0.313557\pi\) | |||||||
\(468\) | 444.455 | − | 182.807i | 0.949691 | − | 0.390613i | ||||
\(469\) | −77.9317 | + | 138.093i | −0.166166 | + | 0.294442i | ||||
\(470\) | 278.610 | + | 260.061i | 0.592788 | + | 0.553321i | ||||
\(471\) | 35.7502 | + | 72.7218i | 0.0759027 | + | 0.154399i | ||||
\(472\) | −310.307 | + | 179.156i | −0.657430 | + | 0.379568i | ||||
\(473\) | −121.988 | − | 211.289i | −0.257903 | − | 0.446700i | ||||
\(474\) | −55.3519 | + | 27.2111i | −0.116776 | + | 0.0574074i | ||||
\(475\) | 34.6781 | + | 502.923i | 0.0730066 | + | 1.05878i | ||||
\(476\) | −4.58411 | − | 467.150i | −0.00963049 | − | 0.981408i | ||||
\(477\) | 300.836 | + | 731.417i | 0.630684 | + | 1.53337i | ||||
\(478\) | −949.921 | − | 548.437i | −1.98728 | − | 1.14736i | ||||
\(479\) | −45.1496 | + | 26.0672i | −0.0942581 | + | 0.0544199i | −0.546388 | − | 0.837532i | \(-0.683998\pi\) |
0.452130 | + | 0.891952i | \(0.350664\pi\) | |||||||
\(480\) | 375.808 | − | 352.303i | 0.782933 | − | 0.733965i | ||||
\(481\) | −140.912 | + | 244.067i | −0.292957 | + | 0.507417i | ||||
\(482\) | −411.150 | −0.853009 | ||||||||
\(483\) | −640.327 | − | 36.4608i | −1.32573 | − | 0.0754883i | ||||
\(484\) | −173.110 | −0.357664 | ||||||||
\(485\) | −205.123 | − | 672.092i | −0.422934 | − | 1.38576i | ||||
\(486\) | 510.614 | + | 589.591i | 1.05065 | + | 1.21315i | ||||
\(487\) | 728.584 | − | 420.648i | 1.49607 | − | 0.863754i | 0.496075 | − | 0.868280i | \(-0.334774\pi\) |
0.999990 | + | 0.00452596i | \(0.00144066\pi\) | |||||||
\(488\) | −77.5745 | + | 134.363i | −0.158964 | + | 0.275334i | ||||
\(489\) | 460.033 | − | 686.641i | 0.940764 | − | 1.40417i | ||||
\(490\) | −585.284 | − | 525.206i | −1.19446 | − | 1.07185i | ||||
\(491\) | − | 842.285i | − | 1.71545i | −0.514110 | − | 0.857724i | \(-0.671878\pi\) | ||
0.514110 | − | 0.857724i | \(-0.328122\pi\) | |||||||
\(492\) | 53.4623 | + | 108.751i | 0.108663 | + | 0.221039i | ||||
\(493\) | −393.344 | + | 227.097i | −0.797859 | + | 0.460644i | ||||
\(494\) | 474.911 | − | 274.190i | 0.961358 | − | 0.555040i | ||||
\(495\) | 424.125 | − | 347.512i | 0.856818 | − | 0.702044i | ||||
\(496\) | −18.2053 | −0.0367042 | ||||||||
\(497\) | 8.68990 | + | 14.7160i | 0.0174847 | + | 0.0296096i | ||||
\(498\) | 828.429 | + | 555.028i | 1.66351 | + | 1.11451i | ||||
\(499\) | −430.078 | + | 744.916i | −0.861879 | + | 1.49282i | 0.00823367 | + | 0.999966i | \(0.497379\pi\) |
−0.870113 | + | 0.492852i | \(0.835954\pi\) | |||||||
\(500\) | −777.916 | − | 124.369i | −1.55583 | − | 0.248738i | ||||
\(501\) | −1.63470 | + | 24.4748i | −0.00326287 | + | 0.0488518i | ||||
\(502\) | 559.048 | + | 322.767i | 1.11364 | + | 0.642961i | ||||
\(503\) | −639.911 | −1.27219 | −0.636095 | − | 0.771611i | \(-0.719451\pi\) | ||||
−0.636095 | + | 0.771611i | \(0.719451\pi\) | |||||||
\(504\) | 428.810 | − | 181.312i | 0.850814 | − | 0.359746i | ||||
\(505\) | −523.405 | + | 560.738i | −1.03645 | + | 1.11037i | ||||
\(506\) | −1034.43 | − | 597.227i | −2.04432 | − | 1.18029i | ||||
\(507\) | −19.4357 | + | 290.992i | −0.0383347 | + | 0.573948i | ||||
\(508\) | −320.659 | + | 185.133i | −0.631219 | + | 0.364435i | ||||
\(509\) | −627.238 | − | 362.136i | −1.23230 | − | 0.711466i | −0.264787 | − | 0.964307i | \(-0.585302\pi\) |
−0.967508 | + | 0.252841i | \(0.918635\pi\) | |||||||
\(510\) | 115.999 | + | 496.471i | 0.227449 | + | 0.973473i | ||||
\(511\) | 304.144 | − | 538.938i | 0.595195 | − | 1.05467i | ||||
\(512\) | −95.1944 | −0.185927 | ||||||||
\(513\) | 407.995 | + | 360.501i | 0.795313 | + | 0.702731i | ||||
\(514\) | −406.367 | − | 703.848i | −0.790597 | − | 1.36935i | ||||
\(515\) | 691.890 | + | 160.089i | 1.34348 | + | 0.310851i | ||||
\(516\) | 167.019 | + | 339.744i | 0.323680 | + | 0.658419i | ||||
\(517\) | − | 289.363i | − | 0.559697i | ||||||
\(518\) | −367.306 | + | 650.859i | −0.709085 | + | 1.25649i | ||||
\(519\) | 211.903 | + | 141.970i | 0.408292 | + | 0.273546i | ||||
\(520\) | 91.3860 | + | 299.429i | 0.175742 | + | 0.575825i | ||||
\(521\) | 426.309 | − | 246.130i | 0.818251 | − | 0.472418i | −0.0315618 | − | 0.999502i | \(-0.510048\pi\) |
0.849813 | + | 0.527084i | \(0.176715\pi\) | |||||||
\(522\) | −981.100 | − | 756.705i | −1.87950 | − | 1.44963i | ||||
\(523\) | 51.6590 | + | 29.8254i | 0.0987744 | + | 0.0570274i | 0.548574 | − | 0.836102i | \(-0.315171\pi\) |
−0.449799 | + | 0.893130i | \(0.648504\pi\) | |||||||
\(524\) | 507.291i | 0.968113i | ||||||||
\(525\) | 457.771 | + | 257.041i | 0.871946 | + | 0.489603i | ||||
\(526\) | −583.858 | −1.11000 | ||||||||
\(527\) | 64.7055 | − | 112.073i | 0.122781 | − | 0.212663i | ||||
\(528\) | −54.3342 | − | 3.62905i | −0.102906 | − | 0.00687319i | ||||
\(529\) | −201.882 | − | 349.669i | −0.381629 | − | 0.661001i | ||||
\(530\) | −1348.84 | + | 411.668i | −2.54498 | + | 0.776732i | ||||
\(531\) | −403.574 | + | 165.992i | −0.760026 | + | 0.312603i | ||||
\(532\) | 766.010 | − | 452.336i | 1.43987 | − | 0.850255i | ||||
\(533\) | 54.3044 | 0.101884 | ||||||||
\(534\) | 266.344 | + | 541.788i | 0.498772 | + | 1.01459i | ||||
\(535\) | 64.3434 | − | 278.087i | 0.120268 | − | 0.519789i | ||||
\(536\) | 144.972 | − | 83.6995i | 0.270470 | − | 0.156156i | ||||
\(537\) | −163.890 | − | 333.380i | −0.305196 | − | 0.620820i | ||||
\(538\) | − | 833.196i | − | 1.54869i | ||||||
\(539\) | 11.7165 | + | 596.936i | 0.0217375 | + | 1.10749i | ||||
\(540\) | −692.589 | + | 494.178i | −1.28257 | + | 0.915144i | ||||
\(541\) | 276.972 | − | 479.729i | 0.511962 | − | 0.886745i | −0.487941 | − | 0.872876i | \(-0.662252\pi\) |
0.999904 | − | 0.0138685i | \(-0.00441463\pi\) | |||||||
\(542\) | 56.9766 | + | 98.6863i | 0.105123 | + | 0.182078i | ||||
\(543\) | 33.8281 | − | 506.476i | 0.0622986 | − | 0.932737i | ||||
\(544\) | 181.829 | − | 314.938i | 0.334245 | − | 0.578929i | ||||
\(545\) | −647.945 | − | 604.806i | −1.18889 | − | 1.10974i | ||||
\(546\) | 32.4662 | − | 570.173i | 0.0594619 | − | 1.04427i | ||||
\(547\) | − | 109.968i | − | 0.201039i | −0.994935 | − | 0.100520i | \(-0.967949\pi\) | ||
0.994935 | − | 0.100520i | \(-0.0320505\pi\) | |||||||
\(548\) | 37.5444 | − | 65.0288i | 0.0685117 | − | 0.118666i | ||||
\(549\) | −115.398 | + | 149.619i | −0.210198 | + | 0.272530i | ||||
\(550\) | 545.960 | + | 811.114i | 0.992655 | + | 1.47475i | ||||
\(551\) | −749.010 | − | 432.441i | −1.35936 | − | 0.784830i | ||||
\(552\) | 562.514 | + | 376.872i | 1.01905 | + | 0.682739i | ||||
\(553\) | 0.439970 | + | 44.8357i | 0.000795605 | + | 0.0810772i | ||||
\(554\) | 1149.54i | 2.07498i | ||||||||
\(555\) | 144.618 | − | 477.522i | 0.260572 | − | 0.860400i | ||||
\(556\) | −397.476 | − | 688.448i | −0.714885 | − | 1.23822i | ||||
\(557\) | 226.708 | + | 392.669i | 0.407015 | + | 0.704971i | 0.994554 | − | 0.104225i | \(-0.0332362\pi\) |
−0.587538 | + | 0.809196i | \(0.699903\pi\) | |||||||
\(558\) | 349.889 | + | 46.9485i | 0.627042 | + | 0.0841371i | ||||
\(559\) | 169.650 | 0.303488 | ||||||||
\(560\) | −15.7087 | − | 49.7174i | −0.0280513 | − | 0.0887810i | ||||
\(561\) | 215.456 | − | 321.587i | 0.384057 | − | 0.573239i | ||||
\(562\) | 539.049 | + | 311.220i | 0.959161 | + | 0.553772i | ||||
\(563\) | 25.2929 | + | 43.8087i | 0.0449253 | + | 0.0778129i | 0.887614 | − | 0.460589i | \(-0.152362\pi\) |
−0.842688 | + | 0.538402i | \(0.819028\pi\) | |||||||
\(564\) | −29.9230 | + | 448.008i | −0.0530549 | + | 0.794340i | ||||
\(565\) | 41.6097 | − | 12.6993i | 0.0736455 | − | 0.0224767i | ||||
\(566\) | − | 411.725i | − | 0.727430i | ||||||
\(567\) | 546.963 | − | 149.401i | 0.964661 | − | 0.263494i | ||||
\(568\) | − | 18.0422i | − | 0.0317644i | ||||||
\(569\) | 767.186 | + | 442.935i | 1.34831 | + | 0.778445i | 0.988010 | − | 0.154392i | \(-0.0493420\pi\) |
0.360297 | + | 0.932838i | \(0.382675\pi\) | |||||||
\(570\) | −708.284 | + | 663.986i | −1.24260 | + | 1.16489i | ||||
\(571\) | −479.840 | − | 831.107i | −0.840350 | − | 1.45553i | −0.889599 | − | 0.456742i | \(-0.849016\pi\) |
0.0492497 | − | 0.998786i | \(-0.484317\pi\) | |||||||
\(572\) | 325.320 | − | 563.470i | 0.568741 | − | 0.985088i | ||||
\(573\) | 213.253 | − | 318.298i | 0.372169 | − | 0.555495i | ||||
\(574\) | 143.999 | − | 1.41305i | 0.250869 | − | 0.00246176i | ||||
\(575\) | 52.5231 | + | 761.721i | 0.0913446 | + | 1.32473i | ||||
\(576\) | 930.073 | + | 124.798i | 1.61471 | + | 0.216663i | ||||
\(577\) | −265.694 | + | 153.399i | −0.460476 | + | 0.265856i | −0.712244 | − | 0.701932i | \(-0.752321\pi\) |
0.251769 | + | 0.967787i | \(0.418988\pi\) | |||||||
\(578\) | −283.840 | − | 491.624i | −0.491072 | − | 0.850561i | ||||
\(579\) | −163.586 | − | 332.761i | −0.282532 | − | 0.574717i | ||||
\(580\) | 922.248 | − | 988.030i | 1.59008 | − | 1.70350i | ||||
\(581\) | 624.195 | − | 368.593i | 1.07435 | − | 0.634411i | ||||
\(582\) | 753.240 | − | 1124.28i | 1.29423 | − | 1.93175i | ||||
\(583\) | 927.274 | + | 535.362i | 1.59052 | + | 0.918288i | ||||
\(584\) | −565.783 | + | 326.655i | −0.968806 | + | 0.559340i | ||||
\(585\) | 61.8112 | + | 376.228i | 0.105660 | + | 0.643124i | ||||
\(586\) | −691.559 | + | 1197.81i | −1.18013 | + | 2.04405i | ||||
\(587\) | −336.767 | −0.573708 | −0.286854 | − | 0.957974i | \(-0.592610\pi\) | ||||
−0.286854 | + | 0.957974i | \(0.592610\pi\) | |||||||
\(588\) | 43.5889 | − | 925.421i | 0.0741307 | − | 1.57384i | ||||
\(589\) | 246.426 | 0.418380 | ||||||||
\(590\) | −227.146 | − | 744.250i | −0.384993 | − | 1.26144i | ||||
\(591\) | 4.50996 | − | 67.5233i | 0.00763107 | − | 0.114253i | ||||
\(592\) | −42.9132 | + | 24.7760i | −0.0724885 | + | 0.0418513i | ||||
\(593\) | 556.222 | − | 963.405i | 0.937980 | − | 1.62463i | 0.168748 | − | 0.985659i | \(-0.446028\pi\) |
0.769232 | − | 0.638970i | \(-0.220639\pi\) | |||||||
\(594\) | 1034.90 | + | 209.866i | 1.74225 | + | 0.353310i | ||||
\(595\) | 361.896 | + | 80.0021i | 0.608229 | + | 0.134457i | ||||
\(596\) | − | 726.966i | − | 1.21974i | ||||||
\(597\) | −92.9351 | + | 45.6871i | −0.155670 | + | 0.0765278i | ||||
\(598\) | 719.294 | − | 415.285i | 1.20283 | − | 0.694456i | ||||
\(599\) | −514.713 | + | 297.170i | −0.859287 | + | 0.496110i | −0.863773 | − | 0.503880i | \(-0.831905\pi\) |
0.00448642 | + | 0.999990i | \(0.498572\pi\) | |||||||
\(600\) | −278.155 | − | 479.393i | −0.463592 | − | 0.798989i | ||||
\(601\) | 434.293 | 0.722617 | 0.361309 | − | 0.932446i | \(-0.382330\pi\) | ||||
0.361309 | + | 0.932446i | \(0.382330\pi\) | |||||||
\(602\) | 449.859 | − | 4.41444i | 0.747275 | − | 0.00733295i | ||||
\(603\) | 188.545 | − | 77.5496i | 0.312678 | − | 0.128606i | ||||
\(604\) | 881.069 | − | 1526.06i | 1.45872 | − | 2.52658i | ||||
\(605\) | 30.9590 | − | 133.802i | 0.0511718 | − | 0.221161i | ||||
\(606\) | −1473.95 | − | 98.4467i | −2.43226 | − | 0.162453i | ||||
\(607\) | −783.964 | − | 452.622i | −1.29154 | − | 0.745670i | −0.312612 | − | 0.949881i | \(-0.601204\pi\) |
−0.978927 | + | 0.204211i | \(0.934537\pi\) | |||||||
\(608\) | 692.482 | 1.13895 | ||||||||
\(609\) | −804.379 | + | 405.283i | −1.32082 | + | 0.665489i | ||||
\(610\) | −246.307 | − | 229.908i | −0.403782 | − | 0.376899i | ||||
\(611\) | 174.253 | + | 100.605i | 0.285193 | + | 0.164656i | ||||
\(612\) | −366.836 | + | 475.618i | −0.599405 | + | 0.777154i | ||||
\(613\) | −595.512 | + | 343.819i | −0.971472 | + | 0.560879i | −0.899685 | − | 0.436541i | \(-0.856204\pi\) |
−0.0717871 | + | 0.997420i | \(0.522870\pi\) | |||||||
\(614\) | 568.875 | + | 328.440i | 0.926507 | + | 0.534919i | ||||
\(615\) | −93.6187 | + | 21.8737i | −0.152225 | + | 0.0355670i | ||||
\(616\) | 309.784 | − | 548.931i | 0.502896 | − | 0.891122i | ||||
\(617\) | −205.651 | −0.333308 | −0.166654 | − | 0.986015i | \(-0.553296\pi\) | ||||
−0.166654 | + | 0.986015i | \(0.553296\pi\) | |||||||
\(618\) | 603.381 | + | 1227.38i | 0.976344 | + | 1.98605i | ||||
\(619\) | 428.521 | + | 742.221i | 0.692280 | + | 1.19906i | 0.971089 | + | 0.238718i | \(0.0767271\pi\) |
−0.278809 | + | 0.960347i | \(0.589940\pi\) | |||||||
\(620\) | −86.8093 | + | 375.183i | −0.140015 | + | 0.605134i | ||||
\(621\) | 617.945 | + | 546.011i | 0.995081 | + | 0.879245i | ||||
\(622\) | 1254.56i | 2.01697i | ||||||||
\(623\) | 438.855 | − | 4.30645i | 0.704422 | − | 0.00691244i | ||||
\(624\) | 21.0762 | − | 31.4580i | 0.0337759 | − | 0.0504135i | ||||
\(625\) | 235.252 | − | 579.035i | 0.376403 | − | 0.926456i | ||||
\(626\) | 713.402 | − | 411.883i | 1.13962 | − | 0.657960i | ||||
\(627\) | 735.464 | + | 49.1225i | 1.17299 | + | 0.0783453i | ||||
\(628\) | −147.428 | − | 85.1177i | −0.234758 | − | 0.135538i | ||||
\(629\) | − | 352.236i | − | 0.559994i | ||||||
\(630\) | 173.694 | + | 996.033i | 0.275705 | + | 1.58100i | ||||
\(631\) | −464.352 | −0.735899 | −0.367949 | − | 0.929846i | \(-0.619940\pi\) | ||||
−0.367949 | + | 0.929846i | \(0.619940\pi\) | |||||||
\(632\) | 23.6678 | − | 40.9938i | 0.0374491 | − | 0.0648637i | ||||
\(633\) | −15.2090 | + | 227.710i | −0.0240269 | + | 0.359732i | ||||
\(634\) | 513.254 | + | 888.983i | 0.809550 | + | 1.40218i | ||||
\(635\) | −85.7485 | − | 280.958i | −0.135037 | − | 0.442453i | ||||
\(636\) | −1380.29 | − | 924.766i | −2.17027 | − | 1.45403i | ||||
\(637\) | −363.545 | − | 200.486i | −0.570715 | − | 0.314734i | ||||
\(638\) | −1677.45 | −2.62923 | ||||||||
\(639\) | 2.92218 | − | 21.7779i | 0.00457305 | − | 0.0340812i | ||||
\(640\) | −222.386 | + | 961.134i | −0.347478 | + | 1.50177i | ||||
\(641\) | −144.334 | + | 83.3312i | −0.225170 | + | 0.130002i | −0.608342 | − | 0.793675i | \(-0.708165\pi\) |
0.383172 | + | 0.923677i | \(0.374832\pi\) | |||||||
\(642\) | 493.312 | − | 242.513i | 0.768398 | − | 0.377746i | ||||
\(643\) | − | 643.063i | − | 1.00010i | −0.865997 | − | 0.500049i | \(-0.833315\pi\) | ||
0.865997 | − | 0.500049i | \(-0.166685\pi\) | |||||||
\(644\) | 1160.19 | − | 685.102i | 1.80154 | − | 1.06382i | ||||
\(645\) | −292.469 | + | 68.3346i | −0.453441 | + | 0.105945i | ||||
\(646\) | −342.693 | + | 593.562i | −0.530485 | + | 0.918827i | ||||
\(647\) | −86.4616 | − | 149.756i | −0.133635 | − | 0.231462i | 0.791440 | − | 0.611246i | \(-0.209332\pi\) |
−0.925075 | + | 0.379784i | \(0.875998\pi\) | |||||||
\(648\) | −577.412 | − | 157.797i | −0.891068 | − | 0.243513i | ||||
\(649\) | −295.397 | + | 511.642i | −0.455157 | + | 0.788354i | ||||
\(650\) | −678.266 | + | 46.7687i | −1.04349 | + | 0.0719518i | ||||
\(651\) | 140.744 | − | 214.597i | 0.216197 | − | 0.329643i | ||||
\(652\) | 1736.30i | 2.66304i | ||||||||
\(653\) | −514.097 | + | 890.443i | −0.787285 | + | 1.36362i | 0.140339 | + | 0.990104i | \(0.455181\pi\) |
−0.927624 | + | 0.373515i | \(0.878153\pi\) | |||||||
\(654\) | 113.757 | − | 1703.18i | 0.173941 | − | 2.60425i | ||||
\(655\) | −392.103 | − | 90.7241i | −0.598630 | − | 0.138510i | ||||
\(656\) | 8.26888 | + | 4.77404i | 0.0126050 | + | 0.00727750i | ||||
\(657\) | −735.836 | + | 302.653i | −1.11999 | + | 0.460660i | ||||
\(658\) | 464.684 | + | 262.240i | 0.706206 | + | 0.398540i | ||||
\(659\) | 494.948i | 0.751059i | 0.926810 | + | 0.375530i | \(0.122539\pi\) | ||||
−0.926810 | + | 0.375530i | \(0.877461\pi\) | |||||||
\(660\) | −333.874 | + | 1102.44i | −0.505869 | + | 1.67036i | ||||
\(661\) | 190.532 | + | 330.011i | 0.288248 | + | 0.499261i | 0.973392 | − | 0.229147i | \(-0.0735938\pi\) |
−0.685143 | + | 0.728408i | \(0.740260\pi\) | |||||||
\(662\) | 462.921 | + | 801.803i | 0.699276 | + | 1.21118i | ||||
\(663\) | 118.749 | + | 241.555i | 0.179108 | + | 0.364336i | ||||
\(664\) | −765.282 | −1.15253 | ||||||||
\(665\) | 212.632 | + | 672.971i | 0.319747 | + | 1.01199i | ||||
\(666\) | 888.646 | − | 365.505i | 1.33430 | − | 0.548807i | ||||
\(667\) | −1134.44 | − | 654.970i | −1.70081 | − | 0.981964i | ||||
\(668\) | −25.7654 | − | 44.6270i | −0.0385710 | − | 0.0668069i | ||||
\(669\) | −936.128 | − | 62.5251i | −1.39929 | − | 0.0934605i | ||||
\(670\) | 106.120 | + | 347.705i | 0.158388 | + | 0.518962i | ||||
\(671\) | 255.813i | 0.381242i | ||||||||
\(672\) | 395.506 | − | 603.041i | 0.588551 | − | 0.897383i | ||||
\(673\) | 617.578i | 0.917649i | 0.888527 | + | 0.458825i | \(0.151729\pi\) | ||||
−0.888527 | + | 0.458825i | \(0.848271\pi\) | |||||||
\(674\) | −1057.73 | − | 610.680i | −1.56933 | − | 0.906053i | ||||
\(675\) | −258.104 | − | 623.705i | −0.382376 | − | 0.924007i | ||||
\(676\) | −306.337 | − | 530.591i | −0.453161 | − | 0.784897i | ||||
\(677\) | 150.968 | − | 261.485i | 0.222996 | − | 0.386241i | −0.732720 | − | 0.680530i | \(-0.761750\pi\) |
0.955716 | + | 0.294289i | \(0.0950829\pi\) | |||||||
\(678\) | 69.6047 | + | 46.6336i | 0.102662 | + | 0.0687811i | ||||
\(679\) | −500.224 | − | 847.107i | −0.736707 | − | 1.24758i | ||||
\(680\) | −286.035 | − | 266.991i | −0.420639 | − | 0.392634i | ||||
\(681\) | 185.535 | − | 91.2092i | 0.272445 | − | 0.133934i | ||||
\(682\) | 413.913 | − | 238.973i | 0.606911 | − | 0.350400i | ||||
\(683\) | −45.4093 | − | 78.6511i | −0.0664850 | − | 0.115155i | 0.830867 | − | 0.556471i | \(-0.187845\pi\) |
−0.897352 | + | 0.441316i | \(0.854512\pi\) | |||||||
\(684\) | −1133.61 | − | 152.108i | −1.65732 | − | 0.222380i | ||||
\(685\) | 43.5485 | + | 40.6491i | 0.0635744 | + | 0.0593417i | ||||
\(686\) | −969.229 | − | 522.167i | −1.41287 | − | 0.761176i | ||||
\(687\) | −857.737 | − | 574.664i | −1.24853 | − | 0.836484i | ||||
\(688\) | 25.8324 | + | 14.9143i | 0.0375471 | + | 0.0216778i | ||||
\(689\) | −644.784 | + | 372.266i | −0.935827 | + | 0.540300i | ||||
\(690\) | −1072.76 | + | 1005.66i | −1.55472 | + | 1.45749i | ||||
\(691\) | −492.003 | + | 852.173i | −0.712015 | + | 1.23325i | 0.252084 | + | 0.967705i | \(0.418884\pi\) |
−0.964099 | + | 0.265541i | \(0.914449\pi\) | |||||||
\(692\) | −535.839 | −0.774334 | ||||||||
\(693\) | 462.833 | − | 612.416i | 0.667868 | − | 0.883717i | ||||
\(694\) | −547.919 | −0.789509 | ||||||||
\(695\) | 603.210 | − | 184.100i | 0.867927 | − | 0.264892i | ||||
\(696\) | 948.772 | + | 63.3696i | 1.36318 | + | 0.0910483i | ||||
\(697\) | −58.7787 | + | 33.9359i | −0.0843310 | + | 0.0486886i | ||||
\(698\) | 881.307 | − | 1526.47i | 1.26262 | − | 2.18692i | ||||
\(699\) | 99.7454 | + | 66.8271i | 0.142697 | + | 0.0956039i | ||||
\(700\) | −1099.50 | + | 86.6623i | −1.57072 | + | 0.123803i | ||||
\(701\) | 446.823i | 0.637408i | 0.947854 | + | 0.318704i | \(0.103248\pi\) | ||||
−0.947854 | + | 0.318704i | \(0.896752\pi\) | |||||||
\(702\) | −486.190 | + | 550.243i | −0.692578 | + | 0.783822i | ||||
\(703\) | 580.870 | − | 335.366i | 0.826274 | − | 0.477049i | ||||
\(704\) | 1100.26 | − | 635.236i | 1.56287 | − | 0.902323i | ||||
\(705\) | −340.929 | − | 103.250i | −0.483587 | − | 0.146454i | ||||
\(706\) | 986.175 | 1.39685 | ||||||||
\(707\) | −527.790 | + | 935.234i | −0.746521 | + | 1.32282i | ||||
\(708\) | 510.258 | − | 761.605i | 0.720703 | − | 1.07571i | ||||
\(709\) | −574.318 | + | 994.748i | −0.810040 | + | 1.40303i | 0.102796 | + | 0.994702i | \(0.467221\pi\) |
−0.912836 | + | 0.408327i | \(0.866112\pi\) | |||||||
\(710\) | 38.1735 | + | 8.83253i | 0.0537655 | + | 0.0124402i | ||||
\(711\) | 35.2078 | − | 45.6484i | 0.0495187 | − | 0.0642031i | ||||
\(712\) | −401.250 | − | 231.662i | −0.563554 | − | 0.325368i | ||||
\(713\) | 373.233 | 0.523469 | ||||||||
\(714\) | 321.171 | + | 637.440i | 0.449820 | + | 0.892773i | ||||
\(715\) | 377.345 | + | 352.222i | 0.527755 | + | 0.492618i | ||||
\(716\) | 675.859 | + | 390.207i | 0.943937 | + | 0.544982i | ||||
\(717\) | 1022.92 | + | 68.3223i | 1.42667 | + | 0.0952891i | ||||
\(718\) | −302.691 | + | 174.759i | −0.421576 | + | 0.243397i | ||||
\(719\) | −867.476 | − | 500.837i | −1.20650 | − | 0.696575i | −0.244510 | − | 0.969647i | \(-0.578627\pi\) |
−0.961994 | + | 0.273072i | \(0.911960\pi\) | |||||||
\(720\) | −23.6632 | + | 62.7219i | −0.0328656 | + | 0.0871137i | ||||
\(721\) | 994.189 | − | 9.75591i | 1.37890 | − | 0.0135311i | ||||
\(722\) | −146.408 | −0.202781 | ||||||||
\(723\) | 344.866 | − | 169.537i | 0.476993 | − | 0.234491i | ||||
\(724\) | 533.184 | + | 923.502i | 0.736442 | + | 1.27556i | ||||
\(725\) | 598.747 | + | 889.536i | 0.825857 | + | 1.22695i | ||||
\(726\) | 237.358 | − | 116.686i | 0.326940 | − | 0.160724i | ||||
\(727\) | 160.419i | 0.220659i | 0.993895 | + | 0.110330i | \(0.0351906\pi\) | ||||
−0.993895 | + | 0.110330i | \(0.964809\pi\) | |||||||
\(728\) | 222.859 | + | 377.401i | 0.306125 | + | 0.518408i | ||||
\(729\) | −671.410 | − | 283.989i | −0.921001 | − | 0.389559i | ||||
\(730\) | −414.155 | − | 1356.99i | −0.567335 | − | 1.85889i | ||||
\(731\) | −183.628 | + | 106.018i | −0.251201 | + | 0.145031i | ||||
\(732\) | 26.4536 | − | 396.064i | 0.0361388 | − | 0.541071i | ||||
\(733\) | 336.580 | + | 194.325i | 0.459181 | + | 0.265109i | 0.711700 | − | 0.702484i | \(-0.247926\pi\) |
−0.252519 | + | 0.967592i | \(0.581259\pi\) | |||||||
\(734\) | 369.916i | 0.503973i | ||||||||
\(735\) | 707.493 | + | 199.194i | 0.962576 | + | 0.271012i | ||||
\(736\) | 1048.83 | 1.42503 | ||||||||
\(737\) | 138.006 | − | 239.033i | 0.187253 | − | 0.324332i | ||||
\(738\) | −146.609 | − | 113.077i | −0.198657 | − | 0.153221i | ||||
\(739\) | 599.057 | + | 1037.60i | 0.810631 | + | 1.40405i | 0.912423 | + | 0.409249i | \(0.134209\pi\) |
−0.101792 | + | 0.994806i | \(0.532457\pi\) | |||||||
\(740\) | 305.969 | + | 1002.52i | 0.413471 | + | 1.35475i | ||||
\(741\) | −285.285 | + | 425.814i | −0.385001 | + | 0.574647i | ||||
\(742\) | −1700.09 | + | 1003.92i | −2.29122 | + | 1.35299i | ||||
\(743\) | 592.907 | 0.797990 | 0.398995 | − | 0.916953i | \(-0.369359\pi\) | ||||
0.398995 | + | 0.916953i | \(0.369359\pi\) | |||||||
\(744\) | −243.138 | + | 119.527i | −0.326799 | + | 0.160655i | ||||
\(745\) | 561.896 | + | 130.011i | 0.754223 | + | 0.174511i | ||||
\(746\) | 248.595 | − | 143.526i | 0.333237 | − | 0.192394i | ||||
\(747\) | −923.736 | − | 123.948i | −1.23659 | − | 0.165927i | ||||
\(748\) | 813.196i | 1.08716i | ||||||||
\(749\) | −3.92113 | − | 399.588i | −0.00523515 | − | 0.533495i | ||||
\(750\) | 1150.47 | − | 353.832i | 1.53395 | − | 0.471776i | ||||
\(751\) | −86.7806 | + | 150.308i | −0.115553 | + | 0.200144i | −0.918001 | − | 0.396578i | \(-0.870197\pi\) |
0.802447 | + | 0.596723i | \(0.203531\pi\) | |||||||
\(752\) | 17.6889 | + | 30.6381i | 0.0235225 | + | 0.0407421i | ||||
\(753\) | −602.012 | − | 40.2091i | −0.799484 | − | 0.0533985i | ||||
\(754\) | 583.211 | − | 1010.15i | 0.773490 | − | 1.33972i | ||||
\(755\) | 1021.97 | + | 953.928i | 1.35360 | + | 1.26348i | ||||
\(756\) | −779.912 | + | 900.314i | −1.03163 | + | 1.19089i | ||||
\(757\) | − | 560.146i | − | 0.739956i | −0.929041 | − | 0.369978i | \(-0.879365\pi\) | ||
0.929041 | − | 0.369978i | \(-0.120635\pi\) | |||||||
\(758\) | 354.723 | − | 614.399i | 0.467973 | − | 0.810553i | ||||
\(759\) | 1113.93 | + | 74.4004i | 1.46762 | + | 0.0980242i | ||||
\(760\) | 167.958 | − | 725.901i | 0.220997 | − | 0.955133i | ||||
\(761\) | 450.545 | + | 260.123i | 0.592044 | + | 0.341817i | 0.765905 | − | 0.642953i | \(-0.222291\pi\) |
−0.173861 | + | 0.984770i | \(0.555624\pi\) | |||||||
\(762\) | 314.880 | − | 469.986i | 0.413228 | − | 0.616780i | ||||
\(763\) | −1080.68 | − | 609.873i | −1.41636 | − | 0.799309i | ||||
\(764\) | 804.880i | 1.05351i | ||||||||
\(765\) | −302.016 | − | 368.599i | −0.394793 | − | 0.481829i | ||||
\(766\) | −300.381 | − | 520.275i | −0.392142 | − | 0.679210i | ||||
\(767\) | −205.405 | − | 355.773i | −0.267804 | − | 0.463849i | ||||
\(768\) | −582.137 | + | 286.180i | −0.757991 | + | 0.372630i | ||||
\(769\) | 67.9595 | 0.0883739 | 0.0441869 | − | 0.999023i | \(-0.485930\pi\) | ||||
0.0441869 | + | 0.999023i | \(0.485930\pi\) | |||||||
\(770\) | 1009.77 | + | 924.166i | 1.31139 | + | 1.20022i | ||||
\(771\) | 631.083 | + | 422.811i | 0.818526 | + | 0.548394i | ||||
\(772\) | 674.604 | + | 389.483i | 0.873839 | + | 0.504511i | ||||
\(773\) | 108.399 | + | 187.753i | 0.140232 | + | 0.242889i | 0.927584 | − | 0.373615i | \(-0.121882\pi\) |
−0.787352 | + | 0.616504i | \(0.788549\pi\) | |||||||
\(774\) | −458.014 | − | 353.258i | −0.591749 | − | 0.456406i | ||||
\(775\) | −274.467 | − | 134.196i | −0.354150 | − | 0.173156i | ||||
\(776\) | 1038.58i | 1.33837i | ||||||||
\(777\) | 39.7099 | − | 697.387i | 0.0511067 | − | 0.897538i | ||||
\(778\) | − | 680.665i | − | 0.874891i | ||||||
\(779\) | −111.927 | − | 64.6211i | −0.143680 | − | 0.0829539i | ||||
\(780\) | −547.803 | − | 584.350i | −0.702311 | − | 0.749167i | ||||
\(781\) | −14.8742 | − | 25.7629i | −0.0190451 | − | 0.0329871i | ||||
\(782\) | −519.040 | + | 899.003i | −0.663733 | + | 1.14962i | ||||
\(783\) | 1134.95 | + | 230.157i | 1.44949 | + | 0.293942i | ||||
\(784\) | −37.7315 | − | 62.4880i | −0.0481270 | − | 0.0797041i | ||||
\(785\) | 92.1564 | − | 98.7297i | 0.117397 | − | 0.125770i | ||||
\(786\) | −341.943 | − | 695.569i | −0.435042 | − | 0.884948i | ||||
\(787\) | 260.838 | − | 150.595i | 0.331434 | − | 0.191353i | −0.325044 | − | 0.945699i | \(-0.605379\pi\) |
0.656478 | + | 0.754346i | \(0.272046\pi\) | |||||||
\(788\) | 71.0841 | + | 123.121i | 0.0902082 | + | 0.156245i | ||||
\(789\) | 489.730 | − | 240.752i | 0.620697 | − | 0.305136i | ||||
\(790\) | 75.1478 | + | 70.1446i | 0.0951238 | + | 0.0887906i | ||||
\(791\) | 52.4450 | − | 30.9692i | 0.0663021 | − | 0.0391520i | ||||
\(792\) | −749.480 | + | 308.265i | −0.946313 | + | 0.389224i | ||||
\(793\) | −154.049 | − | 88.9405i | −0.194262 | − | 0.112157i | ||||
\(794\) | 1652.61 | − | 954.137i | 2.08138 | − | 1.20168i | ||||
\(795\) | 961.635 | − | 901.491i | 1.20960 | − | 1.13395i | ||||
\(796\) | 108.777 | − | 188.406i | 0.136654 | − | 0.236692i | ||||
\(797\) | 170.307 | 0.213685 | 0.106842 | − | 0.994276i | \(-0.465926\pi\) | ||||
0.106842 | + | 0.994276i | \(0.465926\pi\) | |||||||
\(798\) | −745.410 | + | 1136.55i | −0.934097 | + | 1.42425i | ||||
\(799\) | −251.480 | −0.314744 | ||||||||
\(800\) | −771.280 | − | 377.104i | −0.964100 | − | 0.471380i | ||||
\(801\) | −446.810 | − | 344.616i | −0.557815 | − | 0.430233i | ||||
\(802\) | 1284.88 | − | 741.828i | 1.60210 | − | 0.924972i | ||||
\(803\) | −538.596 | + | 932.876i | −0.670730 | + | 1.16174i | ||||
\(804\) | −238.386 | + | 355.813i | −0.296500 | + | 0.442553i | ||||
\(805\) | 322.050 | + | 1019.27i | 0.400062 | + | 1.26618i | ||||
\(806\) | 332.342i | 0.412335i | ||||||||
\(807\) | 343.566 | + | 698.871i | 0.425733 | + | 0.866011i | ||||
\(808\) | 981.818 | − | 566.853i | 1.21512 | − | 0.701550i | ||||
\(809\) | −746.188 | + | 430.812i | −0.922359 | + | 0.532524i | −0.884387 | − | 0.466755i | \(-0.845423\pi\) |
−0.0379720 | + | 0.999279i | \(0.512090\pi\) | |||||||
\(810\) | 616.535 | − | 1144.43i | 0.761155 | − | 1.41288i | ||||
\(811\) | −1511.93 | −1.86428 | −0.932140 | − | 0.362099i | \(-0.882060\pi\) | ||||
−0.932140 | + | 0.362099i | \(0.882060\pi\) | |||||||
\(812\) | 929.975 | − | 1647.90i | 1.14529 | − | 2.02943i | ||||
\(813\) | −88.4840 | − | 59.2822i | −0.108836 | − | 0.0729179i | ||||
\(814\) | 650.446 | − | 1126.61i | 0.799074 | − | 1.38404i | ||||
\(815\) | −1342.05 | − | 310.521i | −1.64668 | − | 0.381007i | ||||
\(816\) | −3.15394 | + | 47.2209i | −0.00386512 | + | 0.0578687i | ||||
\(817\) | −349.666 | − | 201.880i | −0.427987 | − | 0.247099i | ||||
\(818\) | −676.396 | −0.826890 | ||||||||
\(819\) | 207.877 | + | 491.638i | 0.253818 | + | 0.600291i | ||||
\(820\) | 137.815 | − | 147.645i | 0.168067 | − | 0.180054i | ||||
\(821\) | −155.662 | − | 89.8715i | −0.189600 | − | 0.109466i | 0.402195 | − | 0.915554i | \(-0.368247\pi\) |
−0.591795 | + | 0.806088i | \(0.701581\pi\) | |||||||
\(822\) | −7.64564 | + | 114.471i | −0.00930127 | + | 0.139259i | ||||
\(823\) | 302.773 | − | 174.806i | 0.367889 | − | 0.212401i | −0.304647 | − | 0.952465i | \(-0.598538\pi\) |
0.672536 | + | 0.740065i | \(0.265205\pi\) | |||||||
\(824\) | −909.000 | − | 524.811i | −1.10315 | − | 0.636907i | ||||
\(825\) | −792.402 | − | 455.223i | −0.960488 | − | 0.551785i | ||||
\(826\) | −553.930 | − | 938.056i | −0.670617 | − | 1.13566i | ||||
\(827\) | 104.693 | 0.126594 | 0.0632968 | − | 0.997995i | \(-0.479839\pi\) | ||||
0.0632968 | + | 0.997995i | \(0.479839\pi\) | |||||||
\(828\) | −1716.95 | − | 230.381i | −2.07361 | − | 0.278238i | ||||
\(829\) | 309.970 | + | 536.884i | 0.373909 | + | 0.647629i | 0.990163 | − | 0.139918i | \(-0.0446840\pi\) |
−0.616254 | + | 0.787547i | \(0.711351\pi\) | |||||||
\(830\) | 374.642 | − | 1619.18i | 0.451376 | − | 1.95081i | ||||
\(831\) | −474.009 | − | 964.214i | −0.570408 | − | 1.16031i | ||||
\(832\) | 883.428i | 1.06181i | ||||||||
\(833\) | 518.787 | − | 10.1826i | 0.622793 | − | 0.0122240i | ||||
\(834\) | 1009.05 | + | 676.040i | 1.20989 | + | 0.810600i | ||||
\(835\) | 39.1016 | − | 11.9338i | 0.0468283 | − | 0.0142920i | ||||
\(836\) | −1341.04 | + | 774.247i | −1.60411 | + | 0.926133i | ||||
\(837\) | −312.840 | + | 104.896i | −0.373764 | + | 0.125324i | ||||
\(838\) | 271.680 | + | 156.854i | 0.324200 | + | 0.187177i | ||||
\(839\) | 137.648i | 0.164062i | 0.996630 | + | 0.0820309i | \(0.0261406\pi\) | ||||
−0.996630 | + | 0.0820309i | \(0.973859\pi\) | |||||||
\(840\) | −536.216 | − | 560.858i | −0.638353 | − | 0.667688i | ||||
\(841\) | −998.635 | −1.18744 | ||||||||
\(842\) | 925.877 | − | 1603.67i | 1.09962 | − | 1.90459i | ||||
\(843\) | −580.475 | − | 38.7706i | −0.688583 | − | 0.0459913i | ||||
\(844\) | −239.718 | − | 415.204i | −0.284026 | − | 0.491948i | ||||
\(845\) | 464.897 | − | 141.887i | 0.550174 | − | 0.167914i | ||||
\(846\) | −260.954 | − | 634.453i | −0.308456 | − | 0.749944i | ||||
\(847\) | −1.88666 | − | 192.263i | −0.00222746 | − | 0.226993i | ||||
\(848\) | −130.908 | −0.154372 | ||||||||
\(849\) | 169.774 | + | 345.348i | 0.199969 | + | 0.406770i | ||||
\(850\) | 704.924 | − | 474.484i | 0.829323 | − | 0.558217i | ||||
\(851\) | 879.779 | − | 507.941i | 1.03382 | − | 0.596875i | ||||
\(852\) | 20.3649 | + | 41.4256i | 0.0239025 | + | 0.0486216i | ||||
\(853\) | − | 193.568i | − | 0.226926i | −0.993542 | − | 0.113463i | \(-0.963806\pi\) | ||
0.993542 | − | 0.113463i | \(-0.0361943\pi\) | |||||||
\(854\) | −410.806 | − | 231.835i | −0.481038 | − | 0.271469i | ||||
\(855\) | 320.304 | − | 848.999i | 0.374624 | − | 0.992981i | ||||
\(856\) | −210.934 | + | 365.348i | −0.246418 | + | 0.426809i | ||||
\(857\) | −206.116 | − | 357.004i | −0.240509 | − | 0.416574i | 0.720350 | − | 0.693610i | \(-0.243981\pi\) |
−0.960859 | + | 0.277036i | \(0.910648\pi\) | |||||||
\(858\) | −66.2490 | + | 991.883i | −0.0772133 | + | 1.15604i | ||||
\(859\) | 694.910 | − | 1203.62i | 0.808975 | − | 1.40119i | −0.104599 | − | 0.994514i | \(-0.533356\pi\) |
0.913574 | − | 0.406672i | \(-0.133311\pi\) | |||||||
\(860\) | 430.540 | − | 461.249i | 0.500628 | − | 0.536336i | ||||
\(861\) | −120.201 | + | 60.5627i | −0.139606 | + | 0.0703400i | ||||
\(862\) | − | 541.791i | − | 0.628528i | ||||||
\(863\) | −352.319 | + | 610.235i | −0.408250 | + | 0.707109i | −0.994694 | − | 0.102881i | \(-0.967194\pi\) |
0.586444 | + | 0.809990i | \(0.300527\pi\) | |||||||
\(864\) | −879.114 | + | 294.770i | −1.01749 | + | 0.341169i | ||||
\(865\) | 95.8296 | − | 414.168i | 0.110786 | − | 0.478807i | ||||
\(866\) | 914.432 | + | 527.948i | 1.05593 | + | 0.609639i | ||||
\(867\) | 440.800 | + | 295.326i | 0.508419 | + | 0.340629i | ||||
\(868\) | 5.29022 | + | 539.107i | 0.00609472 | + | 0.621091i | ||||
\(869\) | − | 78.0481i | − | 0.0898137i | ||||||
\(870\) | −598.546 | + | 1976.38i | −0.687984 | + | 2.27170i | ||||
\(871\) | 95.9629 | + | 166.213i | 0.110176 | + | 0.190830i | ||||
\(872\) | 655.011 | + | 1134.51i | 0.751159 | + | 1.30105i | ||||
\(873\) | −168.212 | + | 1253.62i | −0.192683 | + | 1.43599i | ||||
\(874\) | −1976.72 | −2.26169 | ||||||||
\(875\) | 129.651 | − | 865.341i | 0.148173 | − | 0.988961i | ||||
\(876\) | 930.352 | − | 1388.63i | 1.06205 | − | 1.58520i | ||||
\(877\) | −202.147 | − | 116.710i | −0.230499 | − | 0.133079i | 0.380303 | − | 0.924862i | \(-0.375820\pi\) |
−0.610802 | + | 0.791783i | \(0.709153\pi\) | |||||||
\(878\) | −353.182 | − | 611.728i | −0.402257 | − | 0.696729i | ||||
\(879\) | 86.1518 | − | 1289.87i | 0.0980112 | − | 1.46743i | ||||
\(880\) | 26.4932 | + | 86.8059i | 0.0301060 | + | 0.0986431i | ||||
\(881\) | 160.437i | 0.182107i | 0.995846 | + | 0.0910537i | \(0.0290235\pi\) | ||||
−0.995846 | + | 0.0910537i | \(0.970977\pi\) | |||||||
\(882\) | 564.020 | + | 1298.27i | 0.639478 | + | 1.47196i | ||||
\(883\) | 1106.33i | 1.25293i | 0.779451 | + | 0.626463i | \(0.215498\pi\) | ||||
−0.779451 | + | 0.626463i | \(0.784502\pi\) | |||||||
\(884\) | −489.702 | − | 282.730i | −0.553962 | − | 0.319830i | ||||
\(885\) | 497.415 | + | 530.601i | 0.562051 | + | 0.599549i | ||||
\(886\) | 314.566 | + | 544.845i | 0.355041 | + | 0.614949i | ||||
\(887\) | −572.741 | + | 992.017i | −0.645706 | + | 1.11840i | 0.338432 | + | 0.940991i | \(0.390104\pi\) |
−0.984138 | + | 0.177405i | \(0.943230\pi\) | |||||||
\(888\) | −410.455 | + | 612.640i | −0.462224 | + | 0.689910i | ||||
\(889\) | −209.111 | − | 354.120i | −0.235220 | − | 0.398335i | ||||
\(890\) | 686.580 | − | 735.552i | 0.771438 | − | 0.826463i | ||||
\(891\) | −954.590 | + | 250.704i | −1.07137 | + | 0.281374i | ||||
\(892\) | 1706.92 | − | 985.493i | 1.91359 | − | 1.10481i | ||||
\(893\) | −239.436 | − | 414.715i | −0.268125 | − | 0.464406i | ||||
\(894\) | 490.016 | + | 996.774i | 0.548117 | + | 1.11496i | ||||
\(895\) | −422.475 | + | 452.609i | −0.472039 | + | 0.505709i | ||||
\(896\) | 13.5523 | + | 1381.07i | 0.0151254 | + | 1.54137i | ||||
\(897\) | −432.090 | + | 644.932i | −0.481706 | + | 0.718988i | ||||
\(898\) | −1207.10 | − | 696.917i | −1.34421 | − | 0.776077i | ||||
\(899\) | 453.932 | − | 262.078i | 0.504930 | − | 0.291522i | ||||
\(900\) | 1179.77 | + | 786.742i | 1.31085 | + | 0.874158i | ||||
\(901\) | 465.274 | − | 805.878i | 0.516397 | − | 0.894426i | ||||
\(902\) | −250.667 | −0.277901 | ||||||||
\(903\) | −375.514 | + | 189.201i | −0.415851 | + | 0.209525i | ||||
\(904\) | −64.2991 | −0.0711273 | ||||||||
\(905\) | −809.161 | + | 246.957i | −0.894100 | + | 0.272880i | ||||
\(906\) | −179.423 | + | 2686.33i | −0.198039 | + | 2.96505i | ||||
\(907\) | −460.354 | + | 265.785i | −0.507557 | + | 0.293038i | −0.731829 | − | 0.681489i | \(-0.761333\pi\) |
0.224272 | + | 0.974527i | \(0.428000\pi\) | |||||||
\(908\) | −217.160 | + | 376.133i | −0.239163 | + | 0.414243i | ||||
\(909\) | 1276.92 | − | 525.203i | 1.40475 | − | 0.577781i | ||||
\(910\) | −907.602 | + | 286.766i | −0.997364 | + | 0.315128i | ||||
\(911\) | − | 996.269i | − | 1.09360i | −0.837263 | − | 0.546800i | \(-0.815846\pi\) | ||
0.837263 | − | 0.546800i | \(-0.184154\pi\) | |||||||
\(912\) | −80.8745 | + | 39.7581i | −0.0886782 | + | 0.0435944i | ||||
\(913\) | −1092.76 | + | 630.908i | −1.19689 | + | 0.691027i | ||||
\(914\) | −59.3972 | + | 34.2930i | −0.0649860 | + | 0.0375197i | ||||
\(915\) | 301.400 | + | 91.2791i | 0.329399 | + | 0.0997585i | ||||
\(916\) | 2168.96 | 2.36786 | ||||||||
\(917\) | −563.419 | + | 5.52879i | −0.614416 | + | 0.00602922i | ||||
\(918\) | 182.391 | − | 899.409i | 0.198683 | − | 0.979749i | ||||
\(919\) | 230.450 | − | 399.151i | 0.250761 | − | 0.434331i | −0.712974 | − | 0.701190i | \(-0.752652\pi\) |
0.963736 | + | 0.266859i | \(0.0859857\pi\) | |||||||
\(920\) | 254.387 | − | 1099.44i | 0.276508 | − | 1.19505i | ||||
\(921\) | −612.594 | − | 40.9159i | −0.665140 | − | 0.0444255i | ||||
\(922\) | 2110.56 | + | 1218.53i | 2.28911 | + | 1.32162i | ||||
\(923\) | 20.6857 | 0.0224114 | ||||||||
\(924\) | −91.6768 | + | 1610.03i | −0.0992174 | + | 1.74246i | ||||
\(925\) | −829.598 | + | 57.2034i | −0.896862 | + | 0.0618416i | ||||
\(926\) | −673.315 | − | 388.738i | −0.727122 | − | 0.419804i | ||||
\(927\) | −1012.21 | − | 780.700i | −1.09192 | − | 0.842179i | ||||
\(928\) | 1275.60 | − | 736.467i | 1.37457 | − | 0.793607i | ||||
\(929\) | 671.881 | + | 387.911i | 0.723230 | + | 0.417557i | 0.815941 | − | 0.578136i | \(-0.196220\pi\) |
−0.0927101 | + | 0.995693i | \(0.529553\pi\) | |||||||
\(930\) | −133.867 | − | 572.944i | −0.143943 | − | 0.616069i | ||||
\(931\) | 510.731 | + | 845.833i | 0.548584 | + | 0.908521i | ||||
\(932\) | −252.226 | −0.270628 | ||||||||
\(933\) | −517.313 | − | 1052.30i | −0.554462 | − | 1.12787i | ||||
\(934\) | 667.426 | + | 1156.02i | 0.714589 | + | 1.23770i | ||||
\(935\) | −628.546 | − | 145.432i | −0.672242 | − | 0.155542i | ||||
\(936\) | 74.9414 | − | 558.510i | 0.0800656 | − | 0.596698i | ||||
\(937\) | − | 1641.61i | − | 1.75198i | −0.482328 | − | 0.875991i | \(-0.660209\pi\) | ||
0.482328 | − | 0.875991i | \(-0.339791\pi\) | |||||||
\(938\) | 258.789 | + | 438.248i | 0.275895 | + | 0.467216i | ||||
\(939\) | −428.551 | + | 639.650i | −0.456390 | + | 0.681203i | ||||
\(940\) | 715.750 | − | 218.448i | 0.761436 | − | 0.232391i | ||||
\(941\) | 183.452 | − | 105.916i | 0.194954 | − | 0.112557i | −0.399345 | − | 0.916801i | \(-0.630763\pi\) |
0.594300 | + | 0.804244i | \(0.297429\pi\) | |||||||
\(942\) | 259.519 | + | 17.3336i | 0.275498 | + | 0.0184009i | ||||
\(943\) | −169.523 | − | 97.8744i | −0.179770 | − | 0.103790i | ||||
\(944\) | − | 72.2309i | − | 0.0765158i | ||||||
\(945\) | −556.403 | − | 763.833i | −0.588786 | − | 0.808289i | ||||
\(946\) | −783.096 | −0.827797 | ||||||||
\(947\) | 326.915 | − | 566.234i | 0.345211 | − | 0.597924i | −0.640181 | − | 0.768224i | \(-0.721141\pi\) |
0.985392 | + | 0.170301i | \(0.0544739\pi\) | |||||||
\(948\) | −8.07093 | + | 120.838i | −0.00851364 | + | 0.127467i | ||||
\(949\) | −374.515 | − | 648.680i | −0.394642 | − | 0.683540i | ||||
\(950\) | 1453.63 | + | 710.727i | 1.53014 | + | 0.748134i | ||||
\(951\) | −797.078 | − | 534.024i | −0.838148 | − | 0.561540i | ||||
\(952\) | −477.066 | − | 269.228i | −0.501120 | − | 0.282802i | ||||
\(953\) | 1579.73 | 1.65764 | 0.828819 | − | 0.559516i | \(-0.189013\pi\) | ||||
0.828819 | + | 0.559516i | \(0.189013\pi\) | |||||||
\(954\) | 2515.93 | + | 337.590i | 2.63724 | + | 0.353867i | ||||
\(955\) | −622.119 | − | 143.945i | −0.651433 | − | 0.150728i | ||||
\(956\) | −1865.19 | + | 1076.87i | −1.95103 | + | 1.12643i | ||||
\(957\) | 1407.02 | − | 691.692i | 1.47024 | − | 0.722771i | ||||
\(958\) | 167.337i | 0.174673i | ||||||||
\(959\) | 72.6329 | + | 40.9896i | 0.0757381 | + | 0.0427421i | ||||
\(960\) | −355.843 | − | 1523.00i | −0.370670 | − | 1.58645i | ||||
\(961\) | 405.828 | − | 702.914i | 0.422297 | − | 0.731440i | ||||
\(962\) | 452.291 | + | 783.390i | 0.470157 | + | 0.814335i | ||||
\(963\) | −313.782 | + | 406.831i | −0.325838 | + | 0.422462i | ||||
\(964\) | −403.650 | + | 699.143i | −0.418724 | + | 0.725252i | ||||
\(965\) | −421.691 | + | 451.769i | −0.436985 | + | 0.468154i | ||||
\(966\) | −1128.99 | + | 1721.41i | −1.16873 | + | 1.78200i | ||||
\(967\) | 823.369i | 0.851467i | 0.904849 | + | 0.425734i | \(0.139984\pi\) | ||||
−0.904849 | + | 0.425734i | \(0.860016\pi\) | |||||||
\(968\) | −101.491 | + | 175.788i | −0.104846 | + | 0.181599i | ||||
\(969\) | 42.6915 | − | 639.179i | 0.0440573 | − | 0.659627i | ||||
\(970\) | −2197.41 | − | 508.434i | −2.26537 | − | 0.524159i | ||||
\(971\) | 872.614 | + | 503.804i | 0.898676 | + | 0.518851i | 0.876770 | − | 0.480909i | \(-0.159693\pi\) |
0.0219055 | + | 0.999760i | \(0.493027\pi\) | |||||||
\(972\) | 1503.87 | − | 289.440i | 1.54719 | − | 0.297778i | ||||
\(973\) | 760.288 | − | 448.956i | 0.781385 | − | 0.461415i | ||||
\(974\) | − | 2700.33i | − | 2.77241i | ||||||
\(975\) | 549.633 | − | 318.910i | 0.563726 | − | 0.327087i | ||||
\(976\) | −15.6380 | − | 27.0858i | −0.0160225 | − | 0.0277518i | ||||
\(977\) | −296.872 | − | 514.197i | −0.303860 | − | 0.526302i | 0.673147 | − | 0.739509i | \(-0.264942\pi\) |
−0.977007 | + | 0.213208i | \(0.931609\pi\) | |||||||
\(978\) | −1170.37 | − | 2380.72i | −1.19670 | − | 2.43428i | ||||
\(979\) | −763.940 | −0.780327 | ||||||||
\(980\) | −1467.70 | + | 479.624i | −1.49765 | + | 0.489412i | ||||
\(981\) | 606.883 | + | 1475.50i | 0.618637 | + | 1.50408i | ||||
\(982\) | −2341.31 | − | 1351.75i | −2.38422 | − | 1.37653i | ||||
\(983\) | −396.614 | − | 686.956i | −0.403473 | − | 0.698836i | 0.590669 | − | 0.806914i | \(-0.298864\pi\) |
−0.994142 | + | 0.108078i | \(0.965530\pi\) | |||||||
\(984\) | 141.778 | + | 9.46953i | 0.144083 | + | 0.00962350i | ||||
\(985\) | −107.877 | + | 32.9242i | −0.109520 | + | 0.0334256i | ||||
\(986\) | 1457.84i | 1.47854i | ||||||||
\(987\) | −497.902 | − | 28.3510i | −0.504460 | − | 0.0287244i | ||||
\(988\) | − | 1076.75i | − | 1.08983i | ||||||
\(989\) | −529.600 | − | 305.764i | −0.535490 | − | 0.309165i | ||||
\(990\) | −285.318 | − | 1736.65i | −0.288200 | − | 1.75419i | ||||
\(991\) | 835.228 | + | 1446.66i | 0.842813 | + | 1.45979i | 0.887507 | + | 0.460794i | \(0.152435\pi\) |
−0.0446942 | + | 0.999001i | \(0.514231\pi\) | |||||||
\(992\) | −209.837 | + | 363.449i | −0.211529 | + | 0.366380i | ||||
\(993\) | −718.911 | − | 481.654i | −0.723979 | − | 0.485049i | ||||
\(994\) | 54.8522 | − | 0.538260i | 0.0551833 | − | 0.000541510i | ||||
\(995\) | 126.172 | + | 117.772i | 0.126806 | + | 0.118364i | ||||
\(996\) | 1757.12 | − | 863.803i | 1.76418 | − | 0.867272i | ||||
\(997\) | 963.425 | − | 556.234i | 0.966324 | − | 0.557907i | 0.0682102 | − | 0.997671i | \(-0.478271\pi\) |
0.898114 | + | 0.439764i | \(0.144938\pi\) | |||||||
\(998\) | 1380.43 | + | 2390.98i | 1.38320 | + | 2.39577i | ||||
\(999\) | −594.666 | + | 673.010i | −0.595261 | + | 0.673684i |
(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 | 105.3.o.b.44.17 | yes | 40 | |
3.2 | odd | 2 | inner | 105.3.o.b.44.3 | ✓ | 40 | |
5.4 | even | 2 | inner | 105.3.o.b.44.4 | yes | 40 | |
7.4 | even | 3 | inner | 105.3.o.b.74.18 | yes | 40 | |
15.14 | odd | 2 | inner | 105.3.o.b.44.18 | yes | 40 | |
21.11 | odd | 6 | inner | 105.3.o.b.74.4 | yes | 40 | |
35.4 | even | 6 | inner | 105.3.o.b.74.3 | yes | 40 | |
105.74 | odd | 6 | inner | 105.3.o.b.74.17 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.3.o.b.44.3 | ✓ | 40 | 3.2 | odd | 2 | inner | |
105.3.o.b.44.4 | yes | 40 | 5.4 | even | 2 | inner | |
105.3.o.b.44.17 | yes | 40 | 1.1 | even | 1 | trivial | |
105.3.o.b.44.18 | yes | 40 | 15.14 | odd | 2 | inner | |
105.3.o.b.74.3 | yes | 40 | 35.4 | even | 6 | inner | |
105.3.o.b.74.4 | yes | 40 | 21.11 | odd | 6 | inner | |
105.3.o.b.74.17 | yes | 40 | 105.74 | odd | 6 | inner | |
105.3.o.b.74.18 | yes | 40 | 7.4 | even | 3 | inner |