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 | 74.3 | ||
Character | \(\chi\) | \(=\) | 105.74 |
Dual form | 105.3.o.b.44.3 |
$q$-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 \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) | \(71\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
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 | −0.918011 | − | 0.396555i | \(-0.870206\pi\) |
0.115579 | − | 0.993298i | \(-0.463128\pi\) | |||||||
\(3\) | −2.69226 | + | 1.32352i | −0.897421 | + | 0.441174i | ||||
\(4\) | −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 | ||||||||
\(9\) | 5.49658 | − | 7.12655i | 0.610731 | − | 0.791838i | ||||
\(10\) | 3.61773 | + | 15.6356i | 0.361773 | + | 1.56356i | ||||
\(11\) | 10.5523 | + | 6.09236i | 0.959298 | + | 0.553851i | 0.895957 | − | 0.444141i | \(-0.146491\pi\) |
0.0633411 | + | 0.997992i | \(0.479824\pi\) | |||||||
\(12\) | 1.26002 | − | 18.8650i | 0.105002 | − | 1.57209i | ||||
\(13\) | 8.47270i | 0.651746i | 0.945414 | + | 0.325873i | \(0.105658\pi\) | ||||
−0.945414 | + | 0.325873i | \(0.894342\pi\) | |||||||
\(14\) | 0.220467 | − | 22.4670i | 0.0157477 | − | 1.60479i | ||||
\(15\) | 14.8068 | − | 2.39992i | 0.987118 | − | 0.159995i | ||||
\(16\) | 0.744857 | + | 1.29013i | 0.0465536 | + | 0.0806332i | ||||
\(17\) | −5.29476 | + | 9.17080i | −0.311457 | + | 0.539459i | −0.978678 | − | 0.205401i | \(-0.934150\pi\) |
0.667221 | + | 0.744859i | \(0.267484\pi\) | |||||||
\(18\) | −28.6310 | − | 3.84173i | −1.59061 | − | 0.213429i | ||||
\(19\) | −10.0823 | − | 17.4631i | −0.530649 | − | 0.919111i | −0.999360 | − | 0.0357599i | \(-0.988615\pi\) |
0.468711 | − | 0.883351i | \(-0.344718\pi\) | |||||||
\(20\) | 23.0359 | − | 21.5022i | 1.15179 | − | 1.07511i | ||||
\(21\) | −20.9386 | − | 1.60503i | −0.997075 | − | 0.0764301i | ||||
\(22\) | − | 39.1096i | − | 1.77771i | ||||||
\(23\) | 15.2706 | + | 26.4494i | 0.663939 | + | 1.14998i | 0.979572 | + | 0.201094i | \(0.0644497\pi\) |
−0.315633 | + | 0.948881i | \(0.602217\pi\) | |||||||
\(24\) | −19.8957 | + | 9.78076i | −0.828987 | + | 0.407532i | ||||
\(25\) | 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 | \(0.735062\pi\) | |||||||
\(30\) | −30.4339 | − | 37.3069i | −1.01446 | − | 1.24356i | ||||
\(31\) | −6.11033 | + | 10.5834i | −0.197107 | + | 0.341400i | −0.947589 | − | 0.319491i | \(-0.896488\pi\) |
0.750482 | + | 0.660891i | \(0.229821\pi\) | |||||||
\(32\) | 17.1707 | − | 29.7405i | 0.536584 | − | 0.929390i | ||||
\(33\) | −36.4729 | − | 2.43607i | −1.10524 | − | 0.0738203i | ||||
\(34\) | 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 | −0.835916 | − | 0.548857i | \(-0.815063\pi\) |
0.0573663 | + | 0.998353i | \(0.481730\pi\) | |||||||
\(38\) | −32.3616 | + | 56.0519i | −0.851620 | + | 1.47505i | ||||
\(39\) | −11.2138 | − | 22.8108i | −0.287534 | − | 0.584891i | ||||
\(40\) | −35.3404 | − | 10.7859i | −0.883511 | − | 0.269648i | ||||
\(41\) | 6.40934i | 0.156325i | 0.996941 | + | 0.0781627i | \(0.0249054\pi\) | ||||
−0.996941 | + | 0.0781627i | \(0.975095\pi\) | |||||||
\(42\) | 29.1420 | + | 60.7790i | 0.693858 | + | 1.44712i | ||||
\(43\) | − | 20.0231i | − | 0.465653i | −0.972518 | − | 0.232827i | \(-0.925203\pi\) | ||
0.972518 | − | 0.232827i | \(-0.0747975\pi\) | |||||||
\(44\) | −66.5042 | + | 38.3962i | −1.51146 | + | 0.872642i | ||||
\(45\) | −36.6874 | + | 26.0583i | −0.815275 | + | 0.579073i | ||||
\(46\) | 49.0144 | − | 84.8955i | 1.06553 | − | 1.84555i | ||||
\(47\) | 11.8740 | + | 20.5664i | 0.252639 | + | 0.437583i | 0.964251 | − | 0.264989i | \(-0.0853683\pi\) |
−0.711613 | + | 0.702572i | \(0.752035\pi\) | |||||||
\(48\) | −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 | ||||
\(51\) | 2.11714 | − | 31.6979i | 0.0415126 | − | 0.621528i | ||||
\(52\) | −46.2440 | − | 26.6990i | −0.889308 | − | 0.513442i | ||||
\(53\) | 43.9372 | − | 76.1014i | 0.829003 | − | 1.43588i | −0.0698177 | − | 0.997560i | \(-0.522242\pi\) |
0.898821 | − | 0.438316i | \(-0.144425\pi\) | |||||||
\(54\) | 82.1667 | − | 27.5508i | 1.52161 | − | 0.510199i | ||||
\(55\) | −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 | \(-0.468119\pi\) |
−0.811691 | + | 0.584087i | \(0.801453\pi\) | |||||||
\(60\) | −33.5600 | + | 88.3779i | −0.559334 | + | 1.47297i | ||||
\(61\) | 10.4973 | + | 18.1819i | 0.172087 | + | 0.298063i | 0.939149 | − | 0.343509i | \(-0.111616\pi\) |
−0.767062 | + | 0.641573i | \(0.778282\pi\) | |||||||
\(62\) | 39.2250 | 0.632662 | ||||||||
\(63\) | 58.4965 | − | 23.3915i | 0.928515 | − | 0.371294i | ||||
\(64\) | −104.268 | −1.62918 | ||||||||
\(65\) | 12.3663 | − | 40.5184i | 0.190250 | − | 0.623360i | ||||
\(66\) | 51.7625 | + | 105.294i | 0.784280 | + | 1.59536i | ||||
\(67\) | −19.6174 | − | 11.3261i | −0.292798 | − | 0.169047i | 0.346405 | − | 0.938085i | \(-0.387402\pi\) |
−0.639203 | + | 0.769038i | \(0.720736\pi\) | |||||||
\(68\) | −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 | \(0.994527\pi\) | |||||||
\(72\) | 40.6194 | − | 52.6648i | 0.564158 | − | 0.731455i | ||||
\(73\) | 76.5611 | + | 44.2026i | 1.04878 | + | 0.605515i | 0.922308 | − | 0.386455i | \(-0.126301\pi\) |
0.126474 | + | 0.991970i | \(0.459634\pi\) | |||||||
\(74\) | 92.4605 | + | 53.3821i | 1.24947 | + | 0.721380i | ||||
\(75\) | −74.3122 | − | 10.1341i | −0.990829 | − | 0.135122i | ||||
\(76\) | 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 | 0.845043 | − | 0.534698i | \(-0.179575\pi\) |
−0.885584 | + | 0.464480i | \(0.846241\pi\) | |||||||
\(80\) | −1.67908 | − | 7.25685i | −0.0209885 | − | 0.0907107i | ||||
\(81\) | −20.5753 | − | 78.3432i | −0.254016 | − | 0.967200i | ||||
\(82\) | 17.8161 | − | 10.2861i | 0.217269 | − | 0.125440i | ||||
\(83\) | −103.557 | −1.24768 | −0.623839 | − | 0.781553i | \(-0.714428\pi\) | ||||
−0.623839 | + | 0.781553i | \(0.714428\pi\) | |||||||
\(84\) | 74.7415 | − | 109.225i | 0.889779 | − | 1.30030i | ||||
\(85\) | 38.7059 | − | 36.1289i | 0.455364 | − | 0.425046i | ||||
\(86\) | −55.6583 | + | 32.1344i | −0.647190 | + | 0.373655i | ||||
\(87\) | −56.7672 | − | 115.474i | −0.652496 | − | 1.32729i | ||||
\(88\) | 77.9808 | + | 45.0222i | 0.886145 | + | 0.511616i | ||||
\(89\) | −54.2968 | + | 31.3483i | −0.610077 | + | 0.352228i | −0.772995 | − | 0.634412i | \(-0.781242\pi\) |
0.162919 | + | 0.986639i | \(0.447909\pi\) | |||||||
\(90\) | 131.313 | + | 60.1601i | 1.45903 | + | 0.668446i | ||||
\(91\) | −30.1570 | + | 51.0696i | −0.331396 | + | 0.561204i | ||||
\(92\) | −192.481 | −2.09219 | ||||||||
\(93\) | 2.44325 | − | 36.5805i | 0.0262716 | − | 0.393339i | ||||
\(94\) | 38.1124 | − | 66.0126i | 0.405451 | − | 0.702262i | ||||
\(95\) | 22.7279 | + | 98.2282i | 0.239241 | + | 1.03398i | ||||
\(96\) | −6.86580 | + | 102.795i | −0.0715188 | + | 1.07078i | ||||
\(97\) | 140.539i | 1.44886i | 0.689348 | + | 0.724430i | \(0.257897\pi\) | ||||
−0.689348 | + | 0.724430i | \(0.742103\pi\) | |||||||
\(98\) | 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 | \(-0.0587942\pi\) |
0.332442 | + | 0.943124i | \(0.392128\pi\) | |||||||
\(102\) | −91.5087 | + | 44.9859i | −0.897144 | + | 0.441038i | ||||
\(103\) | 123.005 | − | 71.0169i | 1.19422 | − | 0.689485i | 0.234961 | − | 0.972005i | \(-0.424504\pi\) |
0.959261 | + | 0.282520i | \(0.0911704\pi\) | |||||||
\(104\) | 62.6128i | 0.602046i | ||||||||
\(105\) | 97.7905 | + | 38.2364i | 0.931338 | + | 0.364156i | ||||
\(106\) | −282.053 | −2.66088 | ||||||||
\(107\) | −28.5434 | − | 49.4386i | −0.266761 | − | 0.462043i | 0.701263 | − | 0.712903i | \(-0.252620\pi\) |
−0.968023 | + | 0.250860i | \(0.919287\pi\) | |||||||
\(108\) | −127.517 | − | 112.673i | −1.18071 | − | 1.04327i | ||||
\(109\) | −88.6354 | + | 153.521i | −0.813169 | + | 1.40845i | 0.0974665 | + | 0.995239i | \(0.468926\pi\) |
−0.910635 | + | 0.413211i | \(0.864407\pi\) | |||||||
\(110\) | −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 | \(-0.512258\pi\) | ||||
−0.0384995 | + | 0.999259i | \(0.512258\pi\) | |||||||
\(114\) | 12.9400 | − | 193.738i | 0.113509 | − | 1.69945i | ||||
\(115\) | −34.4234 | − | 148.775i | −0.299334 | − | 1.29370i | ||||
\(116\) | −234.099 | − | 135.157i | −2.01809 | − | 1.16515i | ||||
\(117\) | 60.3811 | + | 46.5708i | 0.516078 | + | 0.398041i | ||||
\(118\) | 155.628i | 1.31888i | ||||||||
\(119\) | −64.5562 | + | 36.4316i | −0.542489 | + | 0.306148i | ||||
\(120\) | 109.421 | − | 17.7353i | 0.911843 | − | 0.147794i | ||||
\(121\) | 13.7337 | + | 23.7875i | 0.113502 | + | 0.196591i | ||||
\(122\) | 33.6935 | − | 58.3588i | 0.276176 | − | 0.478351i | ||||
\(123\) | −8.48290 | − | 17.2556i | −0.0689667 | − | 0.140290i | ||||
\(124\) | −38.5095 | − | 66.7004i | −0.310560 | − | 0.537907i | ||||
\(125\) | −78.8061 | − | 97.0288i | −0.630449 | − | 0.776231i | ||||
\(126\) | −158.900 | − | 125.063i | −1.26111 | − | 0.992562i | ||||
\(127\) | 58.7503i | 0.462601i | 0.972882 | + | 0.231300i | \(0.0742980\pi\) | ||||
−0.972882 | + | 0.231300i | \(0.925702\pi\) | |||||||
\(128\) | 98.6526 | + | 170.871i | 0.770724 | + | 1.33493i | ||||
\(129\) | 26.5010 | + | 53.9075i | 0.205434 | + | 0.417887i | ||||
\(130\) | −132.475 | + | 30.6520i | −1.01904 | + | 0.235784i | ||||
\(131\) | 69.7084 | − | 40.2462i | 0.532125 | − | 0.307223i | −0.209756 | − | 0.977754i | \(-0.567267\pi\) |
0.741881 | + | 0.670531i | \(0.233934\pi\) | |||||||
\(132\) | 128.229 | − | 191.393i | 0.971430 | − | 1.44994i | ||||
\(133\) | 1.38505 | − | 141.146i | 0.0104139 | − | 1.06125i | ||||
\(134\) | 72.7076i | 0.542594i | ||||||||
\(135\) | 64.2834 | − | 118.712i | 0.476173 | − | 0.879351i | ||||
\(136\) | −39.1280 | + | 67.7717i | −0.287706 | + | 0.498321i | ||||
\(137\) | −5.95720 | + | 10.3182i | −0.0434832 | + | 0.0753151i | −0.886948 | − | 0.461870i | \(-0.847179\pi\) |
0.843465 | + | 0.537185i | \(0.180512\pi\) | |||||||
\(138\) | −19.5987 | + | 293.433i | −0.142020 | + | 2.12633i | ||||
\(139\) | 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 | ||||
\(144\) | 13.2883 | + | 1.78304i | 0.0922801 | + | 0.0123822i | ||||
\(145\) | 62.6012 | − | 205.115i | 0.431732 | − | 1.41458i | ||||
\(146\) | − | 283.757i | − | 1.94354i | ||||||
\(147\) | −120.495 | − | 84.2014i | −0.819696 | − | 0.572799i | ||||
\(148\) | − | 209.633i | − | 1.41644i | ||||||
\(149\) | −99.8945 | + | 57.6741i | −0.670433 | + | 0.387074i | −0.796241 | − | 0.604980i | \(-0.793181\pi\) |
0.125808 | + | 0.992055i | \(0.459848\pi\) | |||||||
\(150\) | 91.0910 | + | 222.830i | 0.607274 | + | 1.48553i | ||||
\(151\) | 139.800 | − | 242.140i | 0.925827 | − | 1.60358i | 0.135600 | − | 0.990764i | \(-0.456704\pi\) |
0.790226 | − | 0.612815i | \(-0.209963\pi\) | |||||||
\(152\) | −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 | ||||
\(156\) | 159.838 | + | 10.6758i | 1.02460 | + | 0.0684344i | ||||
\(157\) | 23.3925 | + | 13.5057i | 0.148997 | + | 0.0860235i | 0.572645 | − | 0.819803i | \(-0.305917\pi\) |
−0.423648 | + | 0.905827i | \(0.639251\pi\) | |||||||
\(158\) | −10.2798 | + | 17.8052i | −0.0650621 | + | 0.112691i | ||||
\(159\) | −17.5686 | + | 263.037i | −0.110494 | + | 1.65432i | ||||
\(160\) | −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 | −0.999182 | − | 0.0404450i | \(-0.987122\pi\) |
−0.464565 | + | 0.885539i | \(0.653789\pi\) | |||||||
\(164\) | −34.9822 | − | 20.1970i | −0.213306 | − | 0.123152i | ||||
\(165\) | 170.866 | + | 64.8836i | 1.03555 | + | 0.393234i | ||||
\(166\) | 166.195 | + | 287.859i | 1.00118 | + | 1.73409i | ||||
\(167\) | −8.17643 | −0.0489607 | −0.0244803 | − | 0.999700i | \(-0.507793\pi\) | ||||
−0.0244803 | + | 0.999700i | \(0.507793\pi\) | |||||||
\(168\) | −154.735 | − | 11.8611i | −0.921041 | − | 0.0706018i | ||||
\(169\) | 97.2133 | 0.575227 | ||||||||
\(170\) | −162.546 | − | 49.6091i | −0.956151 | − | 0.291818i | ||||
\(171\) | −179.870 | − | 24.1351i | −1.05187 | − | 0.141141i | ||||
\(172\) | 109.286 | + | 63.0964i | 0.635384 | + | 0.366839i | ||||
\(173\) | −42.5110 | − | 73.6312i | −0.245728 | − | 0.425614i | 0.716608 | − | 0.697476i | \(-0.245694\pi\) |
−0.962336 | + | 0.271862i | \(0.912360\pi\) | |||||||
\(174\) | −229.880 | + | 343.116i | −1.32115 | + | 1.97193i | ||||
\(175\) | 75.3209 | + | 157.961i | 0.430405 | + | 0.902636i | ||||
\(176\) | 18.1518i | 0.103135i | ||||||||
\(177\) | 145.136 | + | 9.69379i | 0.819976 | + | 0.0547672i | ||||
\(178\) | 174.278 | + | 100.619i | 0.979090 | + | 0.565278i | ||||
\(179\) | 107.239 | + | 61.9145i | 0.599101 | + | 0.345891i | 0.768688 | − | 0.639624i | \(-0.220910\pi\) |
−0.169587 | + | 0.985515i | \(0.554243\pi\) | |||||||
\(180\) | −26.6178 | − | 282.354i | −0.147876 | − | 1.56863i | ||||
\(181\) | −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 | ||||
\(186\) | −105.604 | + | 51.9152i | −0.567764 | + | 0.279114i | ||||
\(187\) | −111.744 | + | 64.5152i | −0.597559 | + | 0.345001i | ||||
\(188\) | −149.669 | −0.796110 | ||||||||
\(189\) | −126.529 | + | 140.398i | −0.669465 | + | 0.742844i | ||||
\(190\) | 236.570 | − | 220.820i | 1.24511 | − | 1.16221i | ||||
\(191\) | 110.601 | − | 63.8554i | 0.579062 | − | 0.334322i | −0.181699 | − | 0.983354i | \(-0.558159\pi\) |
0.760761 | + | 0.649033i | \(0.224826\pi\) | |||||||
\(192\) | 280.716 | − | 138.000i | 1.46206 | − | 0.718753i | ||||
\(193\) | −107.040 | − | 61.7995i | −0.554611 | − | 0.320205i | 0.196369 | − | 0.980530i | \(-0.437085\pi\) |
−0.750980 | + | 0.660325i | \(0.770418\pi\) | |||||||
\(194\) | 390.658 | − | 225.547i | 2.01370 | − | 1.16261i | ||||
\(195\) | 20.3338 | + | 125.453i | 0.104276 | + | 0.643350i | ||||
\(196\) | −308.756 | − | 6.06019i | −1.57529 | − | 0.0309193i | ||||
\(197\) | 22.5579 | 0.114507 | 0.0572536 | − | 0.998360i | \(-0.481766\pi\) | ||||
0.0572536 | + | 0.998360i | \(0.481766\pi\) | |||||||
\(198\) | −278.717 | − | 214.969i | −1.40766 | − | 1.08570i | ||||
\(199\) | 17.2597 | − | 29.8946i | 0.0867319 | − | 0.150224i | −0.819396 | − | 0.573228i | \(-0.805691\pi\) |
0.906128 | + | 0.423004i | \(0.139024\pi\) | |||||||
\(200\) | 153.264 | + | 103.162i | 0.766318 | + | 0.515808i | ||||
\(201\) | 67.8057 | + | 4.52883i | 0.337342 | + | 0.0225315i | ||||
\(202\) | − | 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 | ||||
\(207\) | 272.429 | + | 36.5548i | 1.31608 | + | 0.176593i | ||||
\(208\) | −10.9309 | + | 6.31095i | −0.0525524 | + | 0.0303411i | ||||
\(209\) | − | 245.701i | − | 1.17560i | ||||||
\(210\) | −50.6546 | − | 333.193i | −0.241212 | − | 1.58663i | ||||
\(211\) | 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 | ||||
\(213\) | −3.23132 | − | 6.57304i | −0.0151705 | − | 0.0308593i | ||||
\(214\) | −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 | ||||||||
\(219\) | −264.626 | − | 17.6747i | −1.20834 | − | 0.0807063i | ||||
\(220\) | 374.080 | − | 86.5540i | 1.70036 | − | 0.393427i | ||||
\(221\) | −77.7014 | − | 44.8609i | −0.351590 | − | 0.202991i | ||||
\(222\) | −319.581 | − | 21.3452i | −1.43955 | − | 0.0961494i | ||||
\(223\) | − | 312.738i | − | 1.40241i | −0.712959 | − | 0.701206i | \(-0.752645\pi\) | ||
0.712959 | − | 0.701206i | \(-0.247355\pi\) | |||||||
\(224\) | 209.353 | − | 118.146i | 0.934611 | − | 0.527438i | ||||
\(225\) | 213.481 | − | 71.0701i | 0.948803 | − | 0.315867i | ||||
\(226\) | 13.9638 | + | 24.1859i | 0.0617865 | + | 0.107017i | ||||
\(227\) | 34.4570 | − | 59.6813i | 0.151793 | − | 0.262913i | −0.780094 | − | 0.625663i | \(-0.784829\pi\) |
0.931887 | + | 0.362750i | \(0.118162\pi\) | |||||||
\(228\) | −342.146 | + | 168.200i | −1.50064 | + | 0.737718i | ||||
\(229\) | −172.075 | − | 298.043i | −0.751419 | − | 1.30150i | −0.947135 | − | 0.320835i | \(-0.896036\pi\) |
0.195716 | − | 0.980661i | \(-0.437297\pi\) | |||||||
\(230\) | −358.307 | + | 334.451i | −1.55786 | + | 1.45414i | ||||
\(231\) | −211.171 | − | 144.502i | −0.914161 | − | 0.625550i | ||||
\(232\) | 316.962i | 1.36622i | ||||||||
\(233\) | −20.0104 | − | 34.6590i | −0.0858816 | − | 0.148751i | 0.819885 | − | 0.572528i | \(-0.194037\pi\) |
−0.905767 | + | 0.423777i | \(0.860704\pi\) | |||||||
\(234\) | 32.5498 | − | 242.582i | 0.139102 | − | 1.03667i | ||||
\(235\) | −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 | \(-0.253539\pi\) | |||||||
\(240\) | 14.1251 | + | 17.3151i | 0.0588547 | + | 0.0721461i | ||||
\(241\) | −64.0475 | + | 110.934i | −0.265757 | + | 0.460305i | −0.967762 | − | 0.251867i | \(-0.918955\pi\) |
0.702004 | + | 0.712173i | \(0.252289\pi\) | |||||||
\(242\) | 44.0815 | − | 76.3514i | 0.182155 | − | 0.315502i | ||||
\(243\) | 159.083 | + | 183.689i | 0.654663 | + | 0.755921i | ||||
\(244\) | −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 | ||||
\(249\) | 278.803 | − | 137.060i | 1.11969 | − | 0.550443i | ||||
\(250\) | −143.238 | + | 374.776i | −0.572954 | + | 1.49910i | ||||
\(251\) | 201.118i | 0.801266i | 0.916239 | + | 0.400633i | \(0.131210\pi\) | ||||
−0.916239 | + | 0.400633i | \(0.868790\pi\) | |||||||
\(252\) | −56.6620 | + | 392.985i | −0.224849 | + | 1.55946i | ||||
\(253\) | 372.136i | 1.47089i | ||||||||
\(254\) | 163.309 | − | 94.2863i | 0.642947 | − | 0.371206i | ||||
\(255\) | −56.3891 | + | 148.497i | −0.221134 | + | 0.582341i | ||||
\(256\) | 108.113 | − | 187.257i | 0.422316 | − | 0.731473i | ||||
\(257\) | −126.605 | − | 219.286i | −0.492626 | − | 0.853253i | 0.507338 | − | 0.861747i | \(-0.330629\pi\) |
−0.999964 | + | 0.00849432i | \(0.997296\pi\) | |||||||
\(258\) | 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 | ||||
\(261\) | 305.664 | + | 235.753i | 1.17113 | + | 0.903270i | ||||
\(262\) | −223.745 | − | 129.179i | −0.853989 | − | 0.493051i | ||||
\(263\) | 90.9512 | − | 157.532i | 0.345822 | − | 0.598982i | −0.639681 | − | 0.768641i | \(-0.720933\pi\) |
0.985503 | + | 0.169659i | \(0.0542667\pi\) | |||||||
\(264\) | −269.533 | − | 18.0024i | −1.02096 | − | 0.0681910i | ||||
\(265\) | −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 | \(-0.493604\pi\) |
−0.855805 | + | 0.517299i | \(0.826938\pi\) | |||||||
\(270\) | −433.152 | + | 11.8284i | −1.60427 | + | 0.0438087i | ||||
\(271\) | −17.7512 | − | 30.7460i | −0.0655026 | − | 0.113454i | 0.831414 | − | 0.555653i | \(-0.187532\pi\) |
−0.896917 | + | 0.442199i | \(0.854198\pi\) | |||||||
\(272\) | −15.7754 | −0.0579977 | ||||||||
\(273\) | 13.5990 | − | 177.406i | 0.0498131 | − | 0.649840i | ||||
\(274\) | 38.2420 | 0.139569 | ||||||||
\(275\) | 133.801 | + | 273.659i | 0.486549 | + | 0.995125i | ||||
\(276\) | 518.211 | − | 254.753i | 1.87758 | − | 0.923020i | ||||
\(277\) | −310.160 | − | 179.071i | −1.11971 | − | 0.646466i | −0.178385 | − | 0.983961i | \(-0.557087\pi\) |
−0.941327 | + | 0.337495i | \(0.890421\pi\) | |||||||
\(278\) | −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 | \(0.887859\pi\) | |||||||
\(282\) | −15.2395 | + | 228.166i | −0.0540407 | + | 0.809099i | ||||
\(283\) | 111.089 | + | 64.1371i | 0.392539 | + | 0.226633i | 0.683260 | − | 0.730175i | \(-0.260562\pi\) |
−0.290720 | + | 0.956808i | \(0.593895\pi\) | |||||||
\(284\) | −13.3255 | − | 7.69345i | −0.0469206 | − | 0.0270896i | ||||
\(285\) | −191.197 | − | 234.376i | −0.670866 | − | 0.822370i | ||||
\(286\) | 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 | ||||
\(291\) | −186.007 | − | 378.369i | −0.639200 | − | 1.30024i | ||||
\(292\) | −482.516 | + | 278.581i | −1.65245 | + | 0.954043i | ||||
\(293\) | 430.914 | 1.47070 | 0.735348 | − | 0.677689i | \(-0.237019\pi\) | ||||
0.735348 | + | 0.677689i | \(0.237019\pi\) | |||||||
\(294\) | −40.6766 | + | 470.073i | −0.138356 | + | 1.59889i | ||||
\(295\) | 165.424 | + | 177.223i | 0.560760 | + | 0.600757i | ||||
\(296\) | −212.877 | + | 122.905i | −0.719180 | + | 0.415219i | ||||
\(297\) | −217.837 | + | 246.536i | −0.733457 | + | 0.830087i | ||||
\(298\) | 320.634 | + | 185.118i | 1.07595 | + | 0.621202i | ||||
\(299\) | −224.098 | + | 129.383i | −0.749492 | + | 0.432719i | ||||
\(300\) | 289.483 | − | 373.662i | 0.964944 | − | 1.24554i | ||||
\(301\) | 71.2685 | − | 120.690i | 0.236773 | − | 0.400964i | ||||
\(302\) | −897.439 | −2.97165 | ||||||||
\(303\) | −459.213 | − | 30.6713i | −1.51555 | − | 0.101226i | ||||
\(304\) | 15.0198 | − | 26.0151i | 0.0494072 | − | 0.0855758i | ||||
\(305\) | −23.6633 | − | 102.271i | −0.0775847 | − | 0.335315i | ||||
\(306\) | 186.826 | − | 242.228i | 0.610542 | − | 0.791594i | ||||
\(307\) | − | 204.653i | − | 0.666622i | −0.942817 | − | 0.333311i | \(-0.891834\pi\) | ||
0.942817 | − | 0.333311i | \(-0.108166\pi\) | |||||||
\(308\) | −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 | \(-0.117046\pi\) |
0.155257 | + | 0.987874i | \(0.450379\pi\) | |||||||
\(312\) | −82.8694 | − | 168.570i | −0.265607 | − | 0.540289i | ||||
\(313\) | 222.263 | − | 128.323i | 0.710104 | − | 0.409979i | −0.100996 | − | 0.994887i | \(-0.532203\pi\) |
0.811100 | + | 0.584908i | \(0.198869\pi\) | |||||||
\(314\) | − | 86.6992i | − | 0.276112i | ||||||
\(315\) | −313.885 | + | 26.4855i | −0.996459 | + | 0.0840810i | ||||
\(316\) | 40.3692 | 0.127751 | ||||||||
\(317\) | 159.906 | + | 276.965i | 0.504435 | + | 0.873707i | 0.999987 | + | 0.00512853i | \(0.00163247\pi\) |
−0.495552 | + | 0.868578i | \(0.665034\pi\) | |||||||
\(318\) | 759.361 | − | 373.303i | 2.38793 | − | 1.17391i | ||||
\(319\) | −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 | ||||||||
\(324\) | 492.434 | + | 134.573i | 1.51986 | + | 0.415350i | ||||
\(325\) | −118.277 | + | 175.719i | −0.363928 | + | 0.540675i | ||||
\(326\) | 765.811 | + | 442.141i | 2.34911 | + | 1.35626i | ||||
\(327\) | 35.4414 | − | 530.630i | 0.108384 | − | 1.62272i | ||||
\(328\) | 47.3647i | 0.144404i | ||||||||
\(329\) | −1.63119 | + | 166.228i | −0.00495801 | + | 0.505253i | ||||
\(330\) | −93.8599 | − | 579.088i | −0.284424 | − | 1.75481i | ||||
\(331\) | −144.224 | − | 249.804i | −0.435723 | − | 0.754694i | 0.561631 | − | 0.827388i | \(-0.310174\pi\) |
−0.997354 | + | 0.0726932i | \(0.976841\pi\) | |||||||
\(332\) | 326.327 | − | 565.215i | 0.982914 | − | 1.70246i | ||||
\(333\) | −39.8122 | + | 296.705i | −0.119556 | + | 0.891007i | ||||
\(334\) | 13.1221 | + | 22.7281i | 0.0392876 | + | 0.0680482i | ||||
\(335\) | 77.2842 | + | 82.7967i | 0.230699 | + | 0.247154i | ||||
\(336\) | −13.5255 | − | 28.2090i | −0.0402546 | − | 0.0839554i | ||||
\(337\) | 380.518i | 1.12913i | 0.825387 | + | 0.564567i | \(0.190957\pi\) | ||||
−0.825387 | + | 0.564567i | \(0.809043\pi\) | |||||||
\(338\) | −156.014 | − | 270.225i | −0.461581 | − | 0.799481i | ||||
\(339\) | 23.4251 | − | 11.5158i | 0.0691006 | − | 0.0339700i | ||||
\(340\) | 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 | ||||||
\(345\) | 289.585 | + | 354.982i | 0.839375 | + | 1.02893i | ||||
\(346\) | −136.449 | + | 236.336i | −0.394361 | + | 0.683053i | ||||
\(347\) | 85.3529 | − | 147.836i | 0.245974 | − | 0.426039i | −0.716431 | − | 0.697658i | \(-0.754226\pi\) |
0.962405 | + | 0.271619i | \(0.0875590\pi\) | |||||||
\(348\) | 809.140 | + | 54.0434i | 2.32511 | + | 0.155297i | ||||
\(349\) | 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 | \(-0.976653\pi\) |
0.562119 | + | 0.827056i | \(0.309986\pi\) | |||||||
\(354\) | −205.977 | − | 418.992i | −0.581857 | − | 1.18359i | ||||
\(355\) | 3.56340 | − | 11.6756i | 0.0100378 | − | 0.0328890i | ||||
\(356\) | − | 395.136i | − | 1.10993i | ||||||
\(357\) | 125.584 | − | 183.525i | 0.351776 | − | 0.514076i | ||||
\(358\) | − | 397.457i | − | 1.11022i | ||||||
\(359\) | 94.3043 | − | 54.4466i | 0.262686 | − | 0.151662i | −0.362873 | − | 0.931839i | \(-0.618204\pi\) |
0.625559 | + | 0.780177i | \(0.284871\pi\) | |||||||
\(360\) | −271.118 | + | 192.569i | −0.753105 | + | 0.534915i | ||||
\(361\) | −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 | ||||
\(366\) | −13.4726 | + | 201.712i | −0.0368103 | + | 0.551124i | ||||
\(367\) | −99.8081 | − | 57.6242i | −0.271957 | − | 0.157014i | 0.357820 | − | 0.933791i | \(-0.383520\pi\) |
−0.629776 | + | 0.776776i | \(0.716854\pi\) | |||||||
\(368\) | −22.7488 | + | 39.4021i | −0.0618174 | + | 0.107071i | ||||
\(369\) | 45.6764 | + | 35.2294i | 0.123784 | + | 0.0954727i | ||||
\(370\) | −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 | −0.392573 | − | 0.919721i | \(-0.628415\pi\) |
0.600215 | + | 0.799839i | \(0.295082\pi\) | |||||||
\(374\) | 358.667 | + | 207.076i | 0.959002 | + | 0.553680i | ||||
\(375\) | 340.587 | + | 156.926i | 0.908232 | + | 0.418468i | ||||
\(376\) | 87.7484 | + | 151.985i | 0.233373 | + | 0.404214i | ||||
\(377\) | −363.402 | −0.963932 | ||||||||
\(378\) | 593.325 | + | 126.394i | 1.56964 | + | 0.334376i | ||||
\(379\) | 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 | ||||
\(381\) | −77.7574 | − | 158.171i | −0.204088 | − | 0.415148i | ||||
\(382\) | −354.999 | − | 204.959i | −0.929316 | − | 0.536541i | ||||
\(383\) | −93.5845 | − | 162.093i | −0.244346 | − | 0.423220i | 0.717602 | − | 0.696454i | \(-0.245240\pi\) |
−0.961948 | + | 0.273234i | \(0.911907\pi\) | |||||||
\(384\) | −491.751 | − | 329.462i | −1.28060 | − | 0.857974i | ||||
\(385\) | −92.0535 | − | 416.412i | −0.239100 | − | 1.08159i | ||||
\(386\) | 396.719i | 1.02777i | ||||||||
\(387\) | −142.696 | − | 110.058i | −0.368722 | − | 0.284389i | ||||
\(388\) | −767.065 | − | 442.865i | −1.97697 | − | 1.14140i | ||||
\(389\) | −183.652 | − | 106.032i | −0.472113 | − | 0.272575i | 0.245011 | − | 0.969520i | \(-0.421209\pi\) |
−0.717124 | + | 0.696946i | \(0.754542\pi\) | |||||||
\(390\) | 316.090 | − | 257.858i | 0.810488 | − | 0.661173i | ||||
\(391\) | −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 | ||||
\(396\) | −91.9131 | + | 684.993i | −0.232104 | + | 1.72978i | ||||
\(397\) | 514.877 | − | 297.264i | 1.29692 | − | 0.748776i | 0.317048 | − | 0.948410i | \(-0.397308\pi\) |
0.979871 | + | 0.199634i | \(0.0639752\pi\) | |||||||
\(398\) | −110.798 | −0.278386 | ||||||||
\(399\) | 183.081 | + | 381.835i | 0.458849 | + | 0.956980i | ||||
\(400\) | −2.56193 | + | 37.1546i | −0.00640483 | + | 0.0928866i | ||||
\(401\) | −400.309 | + | 231.118i | −0.998277 | + | 0.576355i | −0.907738 | − | 0.419538i | \(-0.862192\pi\) |
−0.0905387 | + | 0.995893i | \(0.528859\pi\) | |||||||
\(402\) | −96.2302 | − | 195.748i | −0.239379 | − | 0.486936i | ||||
\(403\) | −89.6700 | − | 51.7710i | −0.222506 | − | 0.128464i | ||||
\(404\) | −837.322 | + | 483.428i | −2.07258 | + | 1.19660i | ||||
\(405\) | −15.9493 | + | 404.686i | −0.0393811 | + | 0.999224i | ||||
\(406\) | 963.632 | + | 9.45606i | 2.37348 | + | 0.0232908i | ||||
\(407\) | −405.297 | −0.995815 | ||||||||
\(408\) | 15.6456 | − | 234.246i | 0.0383470 | − | 0.574132i | ||||
\(409\) | −105.366 | + | 182.500i | −0.257620 | + | 0.446211i | −0.965604 | − | 0.260018i | \(-0.916272\pi\) |
0.707984 | + | 0.706228i | \(0.249605\pi\) | |||||||
\(410\) | −100.214 | + | 23.1873i | −0.244424 | + | 0.0565544i | ||||
\(411\) | 2.38202 | − | 35.6637i | 0.00579567 | − | 0.0867730i | ||||
\(412\) | 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 | ||||
\(417\) | −339.590 | + | 166.943i | −0.814365 | + | 0.400344i | ||||
\(418\) | −682.976 | + | 394.317i | −1.63391 | + | 0.943341i | ||||
\(419\) | 97.7368i | 0.233262i | 0.993175 | + | 0.116631i | \(0.0372095\pi\) | ||||
−0.993175 | + | 0.116631i | \(0.962791\pi\) | |||||||
\(420\) | −516.850 | + | 413.251i | −1.23059 | + | 0.983931i | ||||
\(421\) | 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 | ||||
\(423\) | 211.834 | + | 28.4241i | 0.500789 | + | 0.0671964i | ||||
\(424\) | 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 | ||||||||
\(429\) | 20.6401 | − | 309.024i | 0.0481121 | − | 0.720336i | ||||
\(430\) | 313.072 | − | 72.4382i | 0.728076 | − | 0.168461i | ||||
\(431\) | −146.182 | − | 84.3983i | −0.339170 | − | 0.195820i | 0.320735 | − | 0.947169i | \(-0.396070\pi\) |
−0.659905 | + | 0.751349i | \(0.729403\pi\) | |||||||
\(432\) | −38.1356 | + | 12.7870i | −0.0882769 | + | 0.0295995i | ||||
\(433\) | − | 328.967i | − | 0.759739i | −0.925040 | − | 0.379870i | \(-0.875969\pi\) | ||
0.925040 | − | 0.379870i | \(-0.124031\pi\) | |||||||
\(434\) | 236.430 | + | 139.614i | 0.544771 | + | 0.321692i | ||||
\(435\) | 102.935 | + | 635.077i | 0.236632 | + | 1.45995i | ||||
\(436\) | −558.612 | − | 967.544i | −1.28122 | − | 2.21914i | ||||
\(437\) | 307.926 | − | 533.344i | 0.704637 | − | 1.22047i | ||||
\(438\) | 375.558 | + | 763.948i | 0.857439 | + | 1.74417i | ||||
\(439\) | 110.035 | + | 190.586i | 0.250649 | + | 0.434136i | 0.963705 | − | 0.266971i | \(-0.0860228\pi\) |
−0.713056 | + | 0.701107i | \(0.752689\pi\) | |||||||
\(440\) | −307.210 | − | 329.123i | −0.698205 | − | 0.748006i | ||||
\(441\) | 435.848 | + | 67.2142i | 0.988317 | + | 0.152413i | ||||
\(442\) | 287.983i | 0.651545i | ||||||||
\(443\) | 98.0040 | + | 169.748i | 0.221228 | + | 0.383178i | 0.955181 | − | 0.296022i | \(-0.0956602\pi\) |
−0.733953 | + | 0.679200i | \(0.762327\pi\) | |||||||
\(444\) | 277.455 | + | 564.389i | 0.624898 | + | 1.27115i | ||||
\(445\) | 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 | \(-0.160663\pi\) | |||||||
\(450\) | −540.162 | − | 479.356i | −1.20036 | − | 1.06524i | ||||
\(451\) | −39.0480 | + | 67.6331i | −0.0865809 | + | 0.149963i | ||||
\(452\) | 27.4181 | − | 47.4895i | 0.0606594 | − | 0.105065i | ||||
\(453\) | −55.8998 | + | 836.934i | −0.123399 | + | 1.84754i | ||||
\(454\) | −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 | −0.520110 | − | 0.854099i | \(-0.674109\pi\) |
0.479617 | + | 0.877478i | \(0.340776\pi\) | |||||||
\(458\) | −552.314 | + | 956.636i | −1.20593 | + | 2.08872i | ||||
\(459\) | −214.260 | − | 189.318i | −0.466797 | − | 0.412458i | ||||
\(460\) | 920.491 | + | 280.935i | 2.00107 | + | 0.610728i | ||||
\(461\) | 759.274i | 1.64702i | 0.567305 | + | 0.823508i | \(0.307986\pi\) | ||||
−0.567305 | + | 0.823508i | \(0.692014\pi\) | |||||||
\(462\) | −62.7723 | + | 818.900i | −0.135871 | + | 1.77251i | ||||
\(463\) | 242.225i | 0.523164i | 0.965181 | + | 0.261582i | \(0.0842443\pi\) | ||||
−0.965181 | + | 0.261582i | \(0.915756\pi\) | |||||||
\(464\) | −55.3349 | + | 31.9476i | −0.119256 | + | 0.0688527i | ||||
\(465\) | −65.0750 | + | 171.370i | −0.139946 | + | 0.368538i | ||||
\(466\) | −64.2280 | + | 111.246i | −0.137828 | + | 0.238726i | ||||
\(467\) | 207.939 | + | 360.160i | 0.445265 | + | 0.771221i | 0.998071 | − | 0.0620891i | \(-0.0197763\pi\) |
−0.552806 | + | 0.833310i | \(0.686443\pi\) | |||||||
\(468\) | −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 | ||||
\(471\) | −80.8540 | − | 5.40033i | −0.171665 | − | 0.0114657i | ||||
\(472\) | −310.307 | − | 179.156i | −0.657430 | − | 0.379568i | ||||
\(473\) | 121.988 | − | 211.289i | 0.257903 | − | 0.446700i | ||||
\(474\) | 4.11045 | − | 61.5418i | 0.00867183 | − | 0.129835i | ||||
\(475\) | 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 | \(-0.316002\pi\) |
−0.452130 | + | 0.891952i | \(0.649336\pi\) | |||||||
\(480\) | 182.868 | − | 481.569i | 0.380974 | − | 1.00327i | ||||
\(481\) | −140.912 | − | 244.067i | −0.292957 | − | 0.507417i | ||||
\(482\) | 411.150 | 0.853009 | ||||||||
\(483\) | −277.292 | − | 578.323i | −0.574104 | − | 1.19736i | ||||
\(484\) | −173.110 | −0.357664 | ||||||||
\(485\) | 205.123 | − | 672.092i | 0.422934 | − | 1.38576i | ||||
\(486\) | 255.294 | − | 737.000i | 0.525296 | − | 1.51646i | ||||
\(487\) | 728.584 | + | 420.648i | 1.49607 | + | 0.863754i | 0.999990 | − | 0.00452596i | \(-0.00144066\pi\) |
0.496075 | + | 0.868280i | \(0.334774\pi\) | |||||||
\(488\) | 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 | \(-0.328122\pi\) | |||||||
\(492\) | 120.912 | + | 8.07589i | 0.245757 | + | 0.0164144i | ||||
\(493\) | −393.344 | − | 227.097i | −0.797859 | − | 0.460644i | ||||
\(494\) | −474.911 | − | 274.190i | −0.961358 | − | 0.555040i | ||||
\(495\) | −545.892 | + | 51.4617i | −1.10281 | + | 0.103963i | ||||
\(496\) | −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 | −0.870113 | − | 0.492852i | \(-0.835954\pi\) |
0.00823367 | − | 0.999966i | \(-0.497379\pi\) | |||||||
\(500\) | 777.916 | − | 124.369i | 1.55583 | − | 0.248738i | ||||
\(501\) | 22.0131 | − | 10.8217i | 0.0439384 | − | 0.0216002i | ||||
\(502\) | 559.048 | − | 322.767i | 1.11364 | − | 0.642961i | ||||
\(503\) | 639.911 | 1.27219 | 0.636095 | − | 0.771611i | \(-0.280549\pi\) | ||||
0.636095 | + | 0.771611i | \(0.280549\pi\) | |||||||
\(504\) | 432.286 | − | 172.862i | 0.857710 | − | 0.342980i | ||||
\(505\) | −523.405 | − | 560.738i | −1.03645 | − | 1.11037i | ||||
\(506\) | 1034.43 | − | 597.227i | 2.04432 | − | 1.18029i | ||||
\(507\) | −261.724 | + | 128.664i | −0.516221 | + | 0.253775i | ||||
\(508\) | −320.659 | − | 185.133i | −0.631219 | − | 0.364435i | ||||
\(509\) | 627.238 | − | 362.136i | 1.23230 | − | 0.711466i | 0.264787 | − | 0.964307i | \(-0.414698\pi\) |
0.967508 | + | 0.252841i | \(0.0813649\pi\) | |||||||
\(510\) | 503.275 | − | 81.5720i | 0.986813 | − | 0.159945i | ||||
\(511\) | 304.144 | + | 538.938i | 0.595195 | + | 1.05467i | ||||
\(512\) | 95.1944 | 0.185927 | ||||||||
\(513\) | 516.201 | − | 173.084i | 1.00624 | − | 0.337395i | ||||
\(514\) | −406.367 | + | 703.848i | −0.790597 | + | 1.36935i | ||||
\(515\) | −691.890 | + | 160.089i | −1.34348 | + | 0.310851i | ||||
\(516\) | −377.737 | − | 25.2295i | −0.732048 | − | 0.0488943i | ||||
\(517\) | 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 | \(-0.489952\pi\) |
−0.849813 | + | 0.527084i | \(0.823285\pi\) | |||||||
\(522\) | 164.776 | − | 1228.01i | 0.315662 | − | 2.35251i | ||||
\(523\) | 51.6590 | − | 29.8254i | 0.0987744 | − | 0.0570274i | −0.449799 | − | 0.893130i | \(-0.648504\pi\) |
0.548574 | + | 0.836102i | \(0.315171\pi\) | |||||||
\(524\) | 507.291i | 0.968113i | ||||||||
\(525\) | −411.849 | − | 325.584i | −0.784475 | − | 0.620161i | ||||
\(526\) | −583.858 | −1.11000 | ||||||||
\(527\) | −64.7055 | − | 112.073i | −0.122781 | − | 0.212663i | ||||
\(528\) | −24.0243 | − | 48.8693i | −0.0455005 | − | 0.0925555i | ||||
\(529\) | −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 | ||||||||
\(534\) | −602.375 | − | 40.2333i | −1.12804 | − | 0.0753433i | ||||
\(535\) | 64.3434 | + | 278.087i | 0.120268 | + | 0.519789i | ||||
\(536\) | −144.972 | − | 83.6995i | −0.270470 | − | 0.156156i | ||||
\(537\) | −370.661 | − | 24.7569i | −0.690244 | − | 0.0461022i | ||||
\(538\) | 833.196i | 1.54869i | ||||||||
\(539\) | −11.7165 | + | 596.936i | −0.0217375 | + | 1.10749i | ||||
\(540\) | 445.364 | + | 724.943i | 0.824749 | + | 1.34249i | ||||
\(541\) | 276.972 | + | 479.729i | 0.511962 | + | 0.886745i | 0.999904 | + | 0.0138685i | \(0.00441463\pi\) |
−0.487941 | + | 0.872876i | \(0.662252\pi\) | |||||||
\(542\) | −56.9766 | + | 98.6863i | −0.105123 | + | 0.182078i | ||||
\(543\) | 455.535 | − | 223.942i | 0.838923 | − | 0.412416i | ||||
\(544\) | 181.829 | + | 314.938i | 0.334245 | + | 0.578929i | ||||
\(545\) | 647.945 | − | 604.806i | 1.18889 | − | 1.10974i | ||||
\(546\) | −514.962 | + | 246.912i | −0.943154 | + | 0.452220i | ||||
\(547\) | 109.968i | 0.201039i | 0.994935 | + | 0.100520i | \(0.0320505\pi\) | ||||
−0.994935 | + | 0.100520i | \(0.967949\pi\) | |||||||
\(548\) | −37.5444 | − | 65.0288i | −0.0685117 | − | 0.118666i | ||||
\(549\) | 187.273 | + | 25.1285i | 0.341117 | + | 0.0457714i | ||||
\(550\) | 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 | ||||||||
\(555\) | −386.615 | + | 315.389i | −0.696603 | + | 0.568269i | ||||
\(556\) | −397.476 | + | 688.448i | −0.714885 | + | 1.23822i | ||||
\(557\) | −226.708 | + | 392.669i | −0.407015 | + | 0.704971i | −0.994554 | − | 0.104225i | \(-0.966764\pi\) |
0.587538 | + | 0.809196i | \(0.300097\pi\) | |||||||
\(558\) | 215.603 | − | 279.539i | 0.386386 | − | 0.500966i | ||||
\(559\) | 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 | \(-0.847638\pi\) |
0.842688 | + | 0.538402i | \(0.180972\pi\) | |||||||
\(564\) | 402.948 | − | 198.090i | 0.714446 | − | 0.351223i | ||||
\(565\) | 41.6097 | + | 12.6993i | 0.0736455 | + | 0.0224767i | ||||
\(566\) | − | 411.725i | − | 0.727430i | ||||||
\(567\) | 154.830 | − | 545.451i | 0.273068 | − | 0.961995i | ||||
\(568\) | 18.0422i | 0.0317644i | ||||||||
\(569\) | −767.186 | + | 442.935i | −1.34831 | + | 0.778445i | −0.988010 | − | 0.154392i | \(-0.950658\pi\) |
−0.360297 | + | 0.932838i | \(0.617325\pi\) | |||||||
\(570\) | −344.650 | + | 907.612i | −0.604649 | + | 1.59230i | ||||
\(571\) | −479.840 | + | 831.107i | −0.840350 | + | 1.45553i | 0.0492497 | + | 0.998786i | \(0.484317\pi\) |
−0.889599 | + | 0.456742i | \(0.849016\pi\) | |||||||
\(572\) | −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 | ||||
\(576\) | −573.115 | + | 743.068i | −0.994991 | + | 1.29005i | ||||
\(577\) | −265.694 | − | 153.399i | −0.460476 | − | 0.265856i | 0.251769 | − | 0.967787i | \(-0.418988\pi\) |
−0.712244 | + | 0.701932i | \(0.752321\pi\) | |||||||
\(578\) | 283.840 | − | 491.624i | 0.491072 | − | 0.850561i | ||||
\(579\) | 369.973 | + | 24.7109i | 0.638986 | + | 0.0426786i | ||||
\(580\) | 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 | ||||
\(585\) | −220.784 | − | 310.841i | −0.377409 | − | 0.531353i | ||||
\(586\) | −691.559 | − | 1197.81i | −1.18013 | − | 2.04405i | ||||
\(587\) | 336.767 | 0.573708 | 0.286854 | − | 0.957974i | \(-0.407390\pi\) | ||||
0.286854 | + | 0.957974i | \(0.407390\pi\) | |||||||
\(588\) | 839.274 | − | 392.330i | 1.42734 | − | 0.667228i | ||||
\(589\) | 246.426 | 0.418380 | ||||||||
\(590\) | 227.146 | − | 744.250i | 0.384993 | − | 1.26144i | ||||
\(591\) | −60.7319 | + | 29.8559i | −0.102761 | + | 0.0505176i | ||||
\(592\) | −42.9132 | − | 24.7760i | −0.0724885 | − | 0.0418513i | ||||
\(593\) | −556.222 | − | 963.405i | −0.937980 | − | 1.62463i | −0.769232 | − | 0.638970i | \(-0.779361\pi\) |
−0.168748 | − | 0.985659i | \(-0.553972\pi\) | |||||||
\(594\) | 1034.90 | + | 209.866i | 1.74225 | + | 0.353310i | ||||
\(595\) | 361.896 | − | 80.0021i | 0.608229 | − | 0.134457i | ||||
\(596\) | − | 726.966i | − | 1.21974i | ||||||
\(597\) | −6.90138 | + | 103.328i | −0.0115601 | + | 0.173078i | ||||
\(598\) | 719.294 | + | 415.285i | 1.20283 | + | 0.694456i | ||||
\(599\) | 514.713 | + | 297.170i | 0.859287 | + | 0.496110i | 0.863773 | − | 0.503880i | \(-0.168095\pi\) |
−0.00448642 | + | 0.999990i | \(0.501428\pi\) | |||||||
\(600\) | −549.163 | − | 74.8907i | −0.915271 | − | 0.124818i | ||||
\(601\) | 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 | ||||
\(606\) | 651.716 | + | 1325.70i | 1.07544 | + | 2.18762i | ||||
\(607\) | −783.964 | + | 452.622i | −1.29154 | + | 0.745670i | −0.978927 | − | 0.204211i | \(-0.934537\pi\) |
−0.312612 | + | 0.949881i | \(0.601204\pi\) | |||||||
\(608\) | −692.482 | −1.13895 | ||||||||
\(609\) | 68.8414 | − | 898.076i | 0.113040 | − | 1.47467i | ||||
\(610\) | −246.307 | + | 229.908i | −0.403782 | + | 0.376899i | ||||
\(611\) | −174.253 | + | 100.605i | −0.285193 | + | 0.164656i | ||||
\(612\) | −595.315 | − | 79.8800i | −0.972738 | − | 0.130523i | ||||
\(613\) | −595.512 | − | 343.819i | −0.971472 | − | 0.560879i | −0.0717871 | − | 0.997420i | \(-0.522870\pi\) |
−0.899685 | + | 0.436541i | \(0.856204\pi\) | |||||||
\(614\) | −568.875 | + | 328.440i | −0.926507 | + | 0.534919i | ||||
\(615\) | 15.3819 | + | 94.9016i | 0.0250112 | + | 0.154312i | ||||
\(616\) | 309.784 | + | 548.931i | 0.502896 | + | 0.891122i | ||||
\(617\) | 205.651 | 0.333308 | 0.166654 | − | 0.986015i | \(-0.446704\pi\) | ||||
0.166654 | + | 0.986015i | \(0.446704\pi\) | |||||||
\(618\) | 1364.63 | + | 91.1452i | 2.20814 | + | 0.147484i | ||||
\(619\) | 428.521 | − | 742.221i | 0.692280 | − | 1.19906i | −0.278809 | − | 0.960347i | \(-0.589940\pi\) |
0.971089 | − | 0.238718i | \(-0.0767271\pi\) | |||||||
\(620\) | 86.8093 | + | 375.183i | 0.140015 | + | 0.605134i | ||||
\(621\) | −781.832 | + | 262.151i | −1.25899 | + | 0.422143i | ||||
\(622\) | − | 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 | ||||
\(627\) | 325.191 | + | 661.492i | 0.518645 | + | 1.05501i | ||||
\(628\) | −147.428 | + | 85.1177i | −0.234758 | + | 0.135538i | ||||
\(629\) | − | 352.236i | − | 0.559994i | ||||||
\(630\) | 577.364 | + | 830.001i | 0.916451 | + | 1.31746i | ||||
\(631\) | −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 | ||||
\(633\) | −204.807 | + | 100.684i | −0.323550 | + | 0.159058i | ||||
\(634\) | 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 | ||||||||
\(639\) | 17.3991 | + | 13.4196i | 0.0272287 | + | 0.0210010i | ||||
\(640\) | −222.386 | − | 961.134i | −0.347478 | − | 1.50177i | ||||
\(641\) | 144.334 | + | 83.3312i | 0.225170 | + | 0.130002i | 0.608342 | − | 0.793675i | \(-0.291835\pi\) |
−0.383172 | + | 0.923677i | \(0.625168\pi\) | |||||||
\(642\) | 36.6334 | − | 548.477i | 0.0570614 | − | 0.854325i | ||||
\(643\) | 643.063i | 1.00010i | 0.865997 | + | 0.500049i | \(0.166685\pi\) | ||||
−0.865997 | + | 0.500049i | \(0.833315\pi\) | |||||||
\(644\) | −1160.19 | − | 685.102i | −1.80154 | − | 1.06382i | ||||
\(645\) | −48.0538 | − | 296.477i | −0.0745020 | − | 0.459655i | ||||
\(646\) | −342.693 | − | 593.562i | −0.530485 | − | 0.918827i | ||||
\(647\) | 86.4616 | − | 149.756i | 0.133635 | − | 0.231462i | −0.791440 | − | 0.611246i | \(-0.790668\pi\) |
0.925075 | + | 0.379784i | \(0.124002\pi\) | |||||||
\(648\) | −152.050 | − | 578.952i | −0.234646 | − | 0.893444i | ||||
\(649\) | −295.397 | − | 511.642i | −0.455157 | − | 0.788354i | ||||
\(650\) | 678.266 | + | 46.7687i | 1.04349 | + | 0.0719518i | ||||
\(651\) | 144.928 | − | 211.794i | 0.222624 | − | 0.325337i | ||||
\(652\) | − | 1736.30i | − | 2.66304i | ||||||
\(653\) | 514.097 | + | 890.443i | 0.787285 | + | 1.36362i | 0.927624 | + | 0.373515i | \(0.121847\pi\) |
−0.140339 | + | 0.990104i | \(0.544819\pi\) | |||||||
\(654\) | −1531.87 | + | 753.073i | −2.34232 | + | 1.15149i | ||||
\(655\) | −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 | \(0.877461\pi\) | |||||||
\(660\) | −892.565 | + | 728.129i | −1.35237 | + | 1.10323i | ||||
\(661\) | 190.532 | − | 330.011i | 0.288248 | − | 0.499261i | −0.685143 | − | 0.728408i | \(-0.740260\pi\) |
0.973392 | + | 0.229147i | \(0.0735938\pi\) | |||||||
\(662\) | −462.921 | + | 801.803i | −0.699276 | + | 1.21118i | ||||
\(663\) | 268.567 | + | 17.9379i | 0.405079 | + | 0.0270557i | ||||
\(664\) | −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 | ||||
\(669\) | 413.915 | + | 841.973i | 0.618708 | + | 1.25855i | ||||
\(670\) | 106.120 | − | 347.705i | 0.158388 | − | 0.518962i | ||||
\(671\) | 255.813i | 0.381242i | ||||||||
\(672\) | −407.264 | + | 595.164i | −0.606048 | + | 0.885661i | ||||
\(673\) | − | 617.578i | − | 0.917649i | −0.888527 | − | 0.458825i | \(-0.848271\pi\) | ||
0.888527 | − | 0.458825i | \(-0.151729\pi\) | |||||||
\(674\) | 1057.73 | − | 610.680i | 1.56933 | − | 0.906053i | ||||
\(675\) | −480.684 | + | 473.886i | −0.712124 | + | 0.702053i | ||||
\(676\) | −306.337 | + | 530.591i | −0.453161 | + | 0.784897i | ||||
\(677\) | −150.968 | − | 261.485i | −0.222996 | − | 0.386241i | 0.732720 | − | 0.680530i | \(-0.238250\pi\) |
−0.955716 | + | 0.294289i | \(0.904917\pi\) | |||||||
\(678\) | −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 | ||||
\(681\) | −13.7778 | + | 206.282i | −0.0202318 | + | 0.302911i | ||||
\(682\) | 413.913 | + | 238.973i | 0.606911 | + | 0.350400i | ||||
\(683\) | 45.4093 | − | 78.6511i | 0.0664850 | − | 0.115155i | −0.830867 | − | 0.556471i | \(-0.812155\pi\) |
0.897352 | + | 0.441316i | \(0.145488\pi\) | |||||||
\(684\) | 698.532 | − | 905.677i | 1.02125 | − | 1.32409i | ||||
\(685\) | 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 | ||||
\(690\) | 522.003 | − | 1374.66i | 0.756526 | − | 1.99226i | ||||
\(691\) | −492.003 | − | 852.173i | −0.712015 | − | 1.23325i | −0.964099 | − | 0.265541i | \(-0.914449\pi\) |
0.252084 | − | 0.967705i | \(-0.418884\pi\) | |||||||
\(692\) | 535.839 | 0.774334 | ||||||||
\(693\) | 759.781 | + | 109.548i | 1.09636 | + | 0.158078i | ||||
\(694\) | −547.919 | −0.789509 | ||||||||
\(695\) | −603.210 | − | 184.100i | −0.867927 | − | 0.264892i | ||||
\(696\) | −419.506 | − | 853.345i | −0.602739 | − | 1.22607i | ||||
\(697\) | −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 | \(0.896752\pi\) | |||||||
\(702\) | 233.429 | + | 696.174i | 0.332521 | + | 0.991701i | ||||
\(703\) | 580.870 | + | 335.366i | 0.826274 | + | 0.477049i | ||||
\(704\) | −1100.26 | − | 635.236i | −1.56287 | − | 0.902323i | ||||
\(705\) | 225.174 | + | 276.025i | 0.319395 | + | 0.391525i | ||||
\(706\) | 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 | −0.912836 | − | 0.408327i | \(-0.866112\pi\) |
0.102796 | − | 0.994702i | \(-0.467221\pi\) | |||||||
\(710\) | −38.1735 | + | 8.83253i | −0.0537655 | + | 0.0124402i | ||||
\(711\) | −57.1366 | − | 7.66665i | −0.0803609 | − | 0.0107829i | ||||
\(712\) | −401.250 | + | 231.662i | −0.563554 | + | 0.325368i | ||||
\(713\) | −373.233 | −0.523469 | ||||||||
\(714\) | −711.692 | − | 54.5543i | −0.996767 | − | 0.0764065i | ||||
\(715\) | 377.345 | − | 352.222i | 0.527755 | − | 0.492618i | ||||
\(716\) | −675.859 | + | 390.207i | −0.943937 | + | 0.544982i | ||||
\(717\) | 452.293 | + | 920.039i | 0.630813 | + | 1.28318i | ||||
\(718\) | −302.691 | − | 174.759i | −0.421576 | − | 0.243397i | ||||
\(719\) | 867.476 | − | 500.837i | 1.20650 | − | 0.696575i | 0.244510 | − | 0.969647i | \(-0.421373\pi\) |
0.961994 | + | 0.273072i | \(0.0880397\pi\) | |||||||
\(720\) | −60.9455 | − | 27.9218i | −0.0846465 | − | 0.0387803i | ||||
\(721\) | 994.189 | + | 9.75591i | 1.37890 | + | 0.0135311i | ||||
\(722\) | 146.408 | 0.202781 | ||||||||
\(723\) | 25.6098 | − | 383.431i | 0.0354216 | − | 0.530333i | ||||
\(724\) | 533.184 | − | 923.502i | 0.736442 | − | 1.27556i | ||||
\(725\) | −598.747 | + | 889.536i | −0.825857 | + | 1.22695i | ||||
\(726\) | −17.6263 | + | 263.901i | −0.0242786 | + | 0.363500i | ||||
\(727\) | − | 160.419i | − | 0.220659i | −0.993895 | − | 0.110330i | \(-0.964809\pi\) | ||
0.993895 | − | 0.110330i | \(-0.0351906\pi\) | |||||||
\(728\) | −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 | ||||
\(732\) | 356.228 | − | 175.123i | 0.486651 | − | 0.239238i | ||||
\(733\) | 336.580 | − | 194.325i | 0.459181 | − | 0.265109i | −0.252519 | − | 0.967592i | \(-0.581259\pi\) |
0.711700 | + | 0.702484i | \(0.247926\pi\) | |||||||
\(734\) | 369.916i | 0.503973i | ||||||||
\(735\) | 453.341 | + | 578.539i | 0.616790 | + | 0.787127i | ||||
\(736\) | 1048.83 | 1.42503 | ||||||||
\(737\) | −138.006 | − | 239.033i | −0.187253 | − | 0.324332i | ||||
\(738\) | 24.6230 | − | 183.506i | 0.0333644 | − | 0.248653i | ||||
\(739\) | 599.057 | − | 1037.60i | 0.810631 | − | 1.40405i | −0.101792 | − | 0.994806i | \(-0.532457\pi\) |
0.912423 | − | 0.409249i | \(-0.134209\pi\) | |||||||
\(740\) | −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 | \(-0.630641\pi\) | ||||
−0.398995 | + | 0.916953i | \(0.630641\pi\) | |||||||
\(744\) | 18.0555 | − | 270.328i | 0.0242682 | − | 0.363344i | ||||
\(745\) | 561.896 | − | 130.011i | 0.754223 | − | 0.174511i | ||||
\(746\) | −248.595 | − | 143.526i | −0.333237 | − | 0.192394i | ||||
\(747\) | −569.210 | + | 738.005i | −0.761995 | + | 0.987959i | ||||
\(748\) | − | 813.196i | − | 1.08716i | ||||||
\(749\) | 3.92113 | − | 399.588i | 0.00523515 | − | 0.533495i | ||||
\(750\) | −110.389 | − | 1198.58i | −0.147185 | − | 1.59810i | ||||
\(751\) | −86.7806 | − | 150.308i | −0.115553 | − | 0.200144i | 0.802447 | − | 0.596723i | \(-0.203531\pi\) |
−0.918001 | + | 0.396578i | \(0.870197\pi\) | |||||||
\(752\) | −17.6889 | + | 30.6381i | −0.0235225 | + | 0.0407421i | ||||
\(753\) | −266.184 | − | 541.462i | −0.353498 | − | 0.719073i | ||||
\(754\) | 583.211 | + | 1010.15i | 0.773490 | + | 1.33972i | ||||
\(755\) | −1021.97 | + | 953.928i | −1.35360 | + | 1.26348i | ||||
\(756\) | −367.575 | − | 1133.01i | −0.486210 | − | 1.49869i | ||||
\(757\) | 560.146i | 0.739956i | 0.929041 | + | 0.369978i | \(0.120635\pi\) | ||||
−0.929041 | + | 0.369978i | \(0.879365\pi\) | |||||||
\(758\) | −354.723 | − | 614.399i | −0.467973 | − | 0.810553i | ||||
\(759\) | −492.530 | − | 1001.89i | −0.648920 | − | 1.32001i | ||||
\(760\) | 167.958 | + | 725.901i | 0.220997 | + | 0.955133i | ||||
\(761\) | −450.545 | + | 260.123i | −0.592044 | + | 0.341817i | −0.765905 | − | 0.642953i | \(-0.777709\pi\) |
0.173861 | + | 0.984770i | \(0.444376\pi\) | |||||||
\(762\) | −314.880 | + | 469.986i | −0.413228 | + | 0.616780i | ||||
\(763\) | −1080.68 | + | 609.873i | −1.41636 | + | 0.799309i | ||||
\(764\) | 804.880i | 1.05351i | ||||||||
\(765\) | −44.7244 | − | 474.425i | −0.0584633 | − | 0.620164i | ||||
\(766\) | −300.381 | + | 520.275i | −0.392142 | + | 0.679210i | ||||
\(767\) | 205.405 | − | 355.773i | 0.267804 | − | 0.463849i | ||||
\(768\) | −43.2296 | + | 647.236i | −0.0562886 | + | 0.842755i | ||||
\(769\) | 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 | \(-0.878118\pi\) |
0.787352 | + | 0.616504i | \(0.211451\pi\) | |||||||
\(774\) | −76.9233 | + | 573.281i | −0.0993842 | + | 0.740673i | ||||
\(775\) | −274.467 | + | 134.196i | −0.354150 | + | 0.173156i | ||||
\(776\) | 1038.58i | 1.33837i | ||||||||
\(777\) | 629.858 | − | 302.002i | 0.810627 | − | 0.388676i | ||||
\(778\) | 680.665i | 0.874891i | ||||||||
\(779\) | 111.927 | − | 64.6211i | 0.143680 | − | 0.0829539i | ||||
\(780\) | −748.800 | − | 284.344i | −0.960000 | − | 0.364544i | ||||
\(781\) | −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 | ||||
\(786\) | 773.352 | + | 51.6531i | 0.983909 | + | 0.0657165i | ||||
\(787\) | 260.838 | + | 150.595i | 0.331434 | + | 0.191353i | 0.656478 | − | 0.754346i | \(-0.272046\pi\) |
−0.325044 | + | 0.945699i | \(0.605379\pi\) | |||||||
\(788\) | −71.0841 | + | 123.121i | −0.0902082 | + | 0.156245i | ||||
\(789\) | −36.3674 | + | 544.494i | −0.0460931 | + | 0.690107i | ||||
\(790\) | 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 | ||||
\(795\) | 467.930 | − | 1232.26i | 0.588592 | − | 1.55001i | ||||
\(796\) | 108.777 | + | 188.406i | 0.136654 | + | 0.236692i | ||||
\(797\) | −170.307 | −0.213685 | −0.106842 | − | 0.994276i | \(-0.534074\pi\) | ||||
−0.106842 | + | 0.994276i | \(0.534074\pi\) | |||||||
\(798\) | 767.570 | − | 1121.70i | 0.961867 | − | 1.40564i | ||||
\(799\) | −251.480 | −0.314744 | ||||||||
\(800\) | 771.280 | − | 377.104i | 0.964100 | − | 0.471380i | ||||
\(801\) | −75.0416 | + | 559.257i | −0.0936849 | + | 0.698198i | ||||
\(802\) | 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 | ||||||||
\(807\) | 777.023 | + | 51.8983i | 0.962854 | + | 0.0643101i | ||||
\(808\) | 981.818 | + | 566.853i | 1.21512 | + | 0.701550i | ||||
\(809\) | 746.188 | + | 430.812i | 0.922359 | + | 0.532524i | 0.884387 | − | 0.466755i | \(-0.154577\pi\) |
0.0379720 | + | 0.999279i | \(0.487910\pi\) | |||||||
\(810\) | 1150.50 | − | 605.131i | 1.42038 | − | 0.747076i | ||||
\(811\) | −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 | ||||
\(816\) | 42.4715 | − | 20.8791i | 0.0520483 | − | 0.0255871i | ||||
\(817\) | −349.666 | + | 201.880i | −0.427987 | + | 0.247099i | ||||
\(818\) | 676.396 | 0.826890 | ||||||||
\(819\) | 198.189 | + | 495.623i | 0.241989 | + | 0.605156i | ||||
\(820\) | 137.815 | + | 147.645i | 0.168067 | + | 0.180054i | ||||
\(821\) | 155.662 | − | 89.8715i | 0.189600 | − | 0.109466i | −0.402195 | − | 0.915554i | \(-0.631753\pi\) |
0.591795 | + | 0.806088i | \(0.298419\pi\) | |||||||
\(822\) | −102.957 | + | 50.6141i | −0.125252 | + | 0.0615743i | ||||
\(823\) | 302.773 | + | 174.806i | 0.367889 | + | 0.212401i | 0.672536 | − | 0.740065i | \(-0.265205\pi\) |
−0.304647 | + | 0.952465i | \(0.598538\pi\) | |||||||
\(824\) | 909.000 | − | 524.811i | 1.10315 | − | 0.636907i | ||||
\(825\) | −722.422 | − | 559.675i | −0.875663 | − | 0.678394i | ||||
\(826\) | −553.930 | + | 938.056i | −0.670617 | + | 1.13566i | ||||
\(827\) | −104.693 | −0.126594 | −0.0632968 | − | 0.997995i | \(-0.520161\pi\) | ||||
−0.0632968 | + | 0.997995i | \(0.520161\pi\) | |||||||
\(828\) | −1057.99 | + | 1371.73i | −1.27776 | + | 1.65668i | ||||
\(829\) | 309.970 | − | 536.884i | 0.373909 | − | 0.647629i | −0.616254 | − | 0.787547i | \(-0.711351\pi\) |
0.990163 | + | 0.139918i | \(0.0446840\pi\) | |||||||
\(830\) | −374.642 | − | 1619.18i | −0.451376 | − | 1.95081i | ||||
\(831\) | 1072.04 | + | 71.6027i | 1.29006 | + | 0.0861645i | ||||
\(832\) | − | 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 | ||||
\(837\) | −247.263 | − | 218.479i | −0.295416 | − | 0.261027i | ||||
\(838\) | 271.680 | − | 156.854i | 0.324200 | − | 0.187177i | ||||
\(839\) | 137.648i | 0.164062i | 0.996630 | + | 0.0820309i | \(0.0261406\pi\) | ||||
−0.996630 | + | 0.0820309i | \(0.973859\pi\) | |||||||
\(840\) | 722.666 | + | 282.565i | 0.860317 | + | 0.336386i | ||||
\(841\) | −998.635 | −1.18744 | ||||||||
\(842\) | −925.877 | − | 1603.67i | −1.09962 | − | 1.90459i | ||||
\(843\) | −256.661 | − | 522.092i | −0.304462 | − | 0.619326i | ||||
\(844\) | −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 | ||||||||
\(849\) | −383.967 | − | 25.6456i | −0.452258 | − | 0.0302068i | ||||
\(850\) | 704.924 | + | 474.484i | 0.829323 | + | 0.558217i | ||||
\(851\) | −879.779 | − | 507.941i | −1.03382 | − | 0.596875i | ||||
\(852\) | 46.0581 | + | 3.07628i | 0.0540588 | + | 0.00361065i | ||||
\(853\) | 193.568i | 0.226926i | 0.993542 | + | 0.113463i | \(0.0361943\pi\) | ||||
−0.993542 | + | 0.113463i | \(0.963806\pi\) | |||||||
\(854\) | 410.806 | − | 231.835i | 0.481038 | − | 0.271469i | ||||
\(855\) | 824.954 | + | 377.948i | 0.964858 | + | 0.442044i | ||||
\(856\) | −210.934 | − | 365.348i | −0.246418 | − | 0.426809i | ||||
\(857\) | 206.116 | − | 357.004i | 0.240509 | − | 0.416574i | −0.720350 | − | 0.693610i | \(-0.756019\pi\) |
0.960859 | + | 0.277036i | \(0.0893523\pi\) | |||||||
\(858\) | −892.120 | + | 438.568i | −1.03977 | + | 0.511152i | ||||
\(859\) | 694.910 | + | 1203.62i | 0.808975 | + | 1.40119i | 0.913574 | + | 0.406672i | \(0.133311\pi\) |
−0.104599 | + | 0.994514i | \(0.533356\pi\) | |||||||
\(860\) | −430.540 | − | 461.249i | −0.500628 | − | 0.536336i | ||||
\(861\) | 10.2872 | − | 134.202i | 0.0119480 | − | 0.155868i | ||||
\(862\) | 541.791i | 0.628528i | ||||||||
\(863\) | 352.319 | + | 610.235i | 0.408250 | + | 0.707109i | 0.994694 | − | 0.102881i | \(-0.0328060\pi\) |
−0.586444 | + | 0.809990i | \(0.699473\pi\) | |||||||
\(864\) | 694.835 | + | 613.950i | 0.804207 | + | 0.710591i | ||||
\(865\) | 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 | ||||||
\(870\) | 1600.13 | − | 1305.34i | 1.83923 | − | 1.50039i | ||||
\(871\) | 95.9629 | − | 166.213i | 0.110176 | − | 0.190830i | ||||
\(872\) | −655.011 | + | 1134.51i | −0.751159 | + | 1.30105i | ||||
\(873\) | 1001.56 | + | 772.486i | 1.14726 | + | 0.884863i | ||||
\(874\) | −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 | −0.610802 | − | 0.791783i | \(-0.709153\pi\) |
0.380303 | + | 0.924862i | \(0.375820\pi\) | |||||||
\(878\) | 353.182 | − | 611.728i | 0.402257 | − | 0.696729i | ||||
\(879\) | −1160.13 | + | 570.324i | −1.31983 | + | 0.648833i | ||||
\(880\) | 26.4932 | − | 86.8059i | 0.0301060 | − | 0.0986431i | ||||
\(881\) | 160.437i | 0.182107i | 0.995846 | + | 0.0910537i | \(0.0290235\pi\) | ||||
−0.995846 | + | 0.0910537i | \(0.970977\pi\) | |||||||
\(882\) | −512.641 | − | 1319.40i | −0.581225 | − | 1.49592i | ||||
\(883\) | − | 1106.33i | − | 1.25293i | −0.779451 | − | 0.626463i | \(-0.784502\pi\) | ||
0.779451 | − | 0.626463i | \(-0.215498\pi\) | |||||||
\(884\) | 489.702 | − | 282.730i | 0.553962 | − | 0.319830i | ||||
\(885\) | −679.925 | − | 258.190i | −0.768276 | − | 0.291740i | ||||
\(886\) | 314.566 | − | 544.845i | 0.355041 | − | 0.614949i | ||||
\(887\) | 572.741 | + | 992.017i | 0.645706 | + | 1.11840i | 0.984138 | + | 0.177405i | \(0.0567702\pi\) |
−0.338432 | + | 0.940991i | \(0.609896\pi\) | |||||||
\(888\) | 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 | ||||
\(891\) | 260.179 | − | 952.051i | 0.292008 | − | 1.06852i | ||||
\(892\) | 1706.92 | + | 985.493i | 1.91359 | + | 1.10481i | ||||
\(893\) | 239.436 | − | 414.715i | 0.268125 | − | 0.464406i | ||||
\(894\) | −1108.24 | − | 74.0207i | −1.23964 | − | 0.0827972i | ||||
\(895\) | −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 | ||||
\(900\) | −284.816 | + | 1389.13i | −0.316462 | + | 1.54348i | ||||
\(901\) | 465.274 | + | 805.878i | 0.516397 | + | 0.894426i | ||||
\(902\) | 250.667 | 0.277901 | ||||||||
\(903\) | −32.1377 | + | 419.255i | −0.0355900 | + | 0.464291i | ||||
\(904\) | −64.2991 | −0.0711273 | ||||||||
\(905\) | 809.161 | + | 246.957i | 0.894100 | + | 0.272880i | ||||
\(906\) | 2416.14 | − | 1187.78i | 2.66682 | − | 1.31102i | ||||
\(907\) | −460.354 | − | 265.785i | −0.507557 | − | 0.293038i | 0.224272 | − | 0.974527i | \(-0.428000\pi\) |
−0.731829 | + | 0.681489i | \(0.761333\pi\) | |||||||
\(908\) | 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 | \(-0.184154\pi\) | |||||||
\(912\) | −6.00576 | + | 89.9184i | −0.00658526 | + | 0.0985948i | ||||
\(913\) | −1092.76 | − | 630.908i | −1.19689 | − | 0.691027i | ||||
\(914\) | 59.3972 | + | 34.2930i | 0.0649860 | + | 0.0375197i | ||||
\(915\) | 199.066 | + | 244.022i | 0.217559 | + | 0.266691i | ||||
\(916\) | 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 | 0.963736 | − | 0.266859i | \(-0.0859857\pi\) |
−0.712974 | + | 0.701190i | \(0.752652\pi\) | |||||||
\(920\) | −254.387 | − | 1099.44i | −0.276508 | − | 1.19505i | ||||
\(921\) | 270.863 | + | 550.980i | 0.294097 | + | 0.598241i | ||||
\(922\) | 2110.56 | − | 1218.53i | 2.28911 | − | 1.32162i | ||||
\(923\) | −20.6857 | −0.0224114 | ||||||||
\(924\) | 1454.13 | − | 697.221i | 1.57373 | − | 0.754568i | ||||
\(925\) | −829.598 | − | 57.2034i | −0.896862 | − | 0.0618416i | ||||
\(926\) | 673.315 | − | 388.738i | 0.727122 | − | 0.419804i | ||||
\(927\) | 170.001 | − | 1266.95i | 0.183388 | − | 1.36672i | ||||
\(928\) | 1275.60 | + | 736.467i | 1.37457 | + | 0.793607i | ||||
\(929\) | −671.881 | + | 387.911i | −0.723230 | + | 0.417557i | −0.815941 | − | 0.578136i | \(-0.803780\pi\) |
0.0927101 | + | 0.995693i | \(0.470447\pi\) | |||||||
\(930\) | 580.796 | − | 94.1368i | 0.624512 | − | 0.101222i | ||||
\(931\) | 510.731 | − | 845.833i | 0.548584 | − | 0.908521i | ||||
\(932\) | 252.226 | 0.270628 | ||||||||
\(933\) | −1169.98 | − | 78.1440i | −1.25399 | − | 0.0837557i | ||||
\(934\) | 667.426 | − | 1156.02i | 0.714589 | − | 1.23770i | ||||
\(935\) | 628.546 | − | 145.432i | 0.672242 | − | 0.155542i | ||||
\(936\) | 446.213 | + | 344.156i | 0.476723 | + | 0.367688i | ||||
\(937\) | 1641.61i | 1.75198i | 0.482328 | + | 0.875991i | \(0.339791\pi\) | ||||
−0.482328 | + | 0.875991i | \(0.660209\pi\) | |||||||
\(938\) | −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 | \(-0.369237\pi\) |
−0.594300 | + | 0.804244i | \(0.702571\pi\) | |||||||
\(942\) | 114.748 | + | 233.417i | 0.121814 | + | 0.247789i | ||||
\(943\) | −169.523 | + | 97.8744i | −0.179770 | + | 0.103790i | ||||
\(944\) | − | 72.2309i | − | 0.0765158i | ||||||
\(945\) | 810.006 | − | 486.739i | 0.857149 | − | 0.515068i | ||||
\(946\) | −783.096 | −0.827797 | ||||||||
\(947\) | −326.915 | − | 566.234i | −0.345211 | − | 0.597924i | 0.640181 | − | 0.768224i | \(-0.278859\pi\) |
−0.985392 | + | 0.170301i | \(0.945526\pi\) | |||||||
\(948\) | −108.685 | + | 53.4295i | −0.114646 | + | 0.0563603i | ||||
\(949\) | −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 | \(-0.810987\pi\) | ||||
−0.828819 | + | 0.559516i | \(0.810987\pi\) | |||||||
\(954\) | −1550.32 | + | 2010.06i | −1.62508 | + | 2.10698i | ||||
\(955\) | −622.119 | + | 143.945i | −0.651433 | + | 0.150728i | ||||
\(956\) | 1865.19 | + | 1076.87i | 1.95103 | + | 1.12643i | ||||
\(957\) | 104.485 | − | 1564.36i | 0.109180 | − | 1.63465i | ||||
\(958\) | − | 167.337i | − | 0.174673i | ||||||
\(959\) | −72.6329 | + | 40.9896i | −0.0757381 | + | 0.0427421i | ||||
\(960\) | −1543.87 | + | 250.234i | −1.60819 | + | 0.260660i | ||||
\(961\) | 405.828 | + | 702.914i | 0.422297 | + | 0.731440i | ||||
\(962\) | −452.291 | + | 783.390i | −0.470157 | + | 0.814335i | ||||
\(963\) | −509.217 | − | 68.3272i | −0.528782 | − | 0.0709525i | ||||
\(964\) | −403.650 | − | 699.143i | −0.418724 | − | 0.725252i | ||||
\(965\) | 421.691 | + | 451.769i | 0.436985 | + | 0.468154i | ||||
\(966\) | −1162.55 | + | 1698.92i | −1.20347 | + | 1.75872i | ||||
\(967\) | − | 823.369i | − | 0.851467i | −0.904849 | − | 0.425734i | \(-0.860016\pi\) | ||
0.904849 | − | 0.425734i | \(-0.139984\pi\) | |||||||
\(968\) | 101.491 | + | 175.788i | 0.104846 | + | 0.181599i | ||||
\(969\) | −574.891 | + | 282.617i | −0.593282 | + | 0.291659i | ||||
\(970\) | −2197.41 | + | 508.434i | −2.26537 | + | 0.524159i | ||||
\(971\) | −872.614 | + | 503.804i | −0.898676 | + | 0.518851i | −0.876770 | − | 0.480909i | \(-0.840307\pi\) |
−0.0219055 | + | 0.999760i | \(0.506973\pi\) | |||||||
\(972\) | −1503.87 | + | 289.440i | −1.54719 | + | 0.297778i | ||||
\(973\) | 760.288 | + | 448.956i | 0.781385 | + | 0.461415i | ||||
\(974\) | − | 2700.33i | − | 2.77241i | ||||||
\(975\) | 85.8635 | − | 629.625i | 0.0880651 | − | 0.645769i | ||||
\(976\) | −15.6380 | + | 27.0858i | −0.0160225 | + | 0.0277518i | ||||
\(977\) | 296.872 | − | 514.197i | 0.303860 | − | 0.526302i | −0.673147 | − | 0.739509i | \(-0.735058\pi\) |
0.977007 | + | 0.213208i | \(0.0683910\pi\) | |||||||
\(978\) | −2646.95 | − | 176.793i | −2.70649 | − | 0.180770i | ||||
\(979\) | −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 | \(-0.701136\pi\) |
0.994142 | + | 0.108078i | \(0.0344696\pi\) | |||||||
\(984\) | −62.6882 | − | 127.518i | −0.0637075 | − | 0.129592i | ||||
\(985\) | −107.877 | − | 32.9242i | −0.109520 | − | 0.0334256i | ||||
\(986\) | 1457.84i | 1.47854i | ||||||||
\(987\) | −215.615 | − | 449.689i | −0.218455 | − | 0.455612i | ||||
\(988\) | 1076.75i | 1.08983i | ||||||||
\(989\) | 529.600 | − | 305.764i | 0.535490 | − | 0.309165i | ||||
\(990\) | 1019.13 | + | 1434.83i | 1.02943 | + | 1.44932i | ||||
\(991\) | 835.228 | − | 1446.66i | 0.842813 | − | 1.45979i | −0.0446942 | − | 0.999001i | \(-0.514231\pi\) |
0.887507 | − | 0.460794i | \(-0.152435\pi\) | |||||||
\(992\) | 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 | ||||
\(996\) | −130.484 | + | 1953.61i | −0.131008 | + | 1.96146i | ||||
\(997\) | 963.425 | + | 556.234i | 0.966324 | + | 0.557907i | 0.898114 | − | 0.439764i | \(-0.144938\pi\) |
0.0682102 | + | 0.997671i | \(0.478271\pi\) | |||||||
\(998\) | −1380.43 | + | 2390.98i | −1.38320 | + | 2.39577i | ||||
\(999\) | −285.511 | − | 851.501i | −0.285797 | − | 0.852353i |
(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.74.3 | yes | 40 | |
3.2 | odd | 2 | inner | 105.3.o.b.74.17 | yes | 40 | |
5.4 | even | 2 | inner | 105.3.o.b.74.18 | yes | 40 | |
7.2 | even | 3 | inner | 105.3.o.b.44.4 | yes | 40 | |
15.14 | odd | 2 | inner | 105.3.o.b.74.4 | yes | 40 | |
21.2 | odd | 6 | inner | 105.3.o.b.44.18 | yes | 40 | |
35.9 | even | 6 | inner | 105.3.o.b.44.17 | yes | 40 | |
105.44 | odd | 6 | inner | 105.3.o.b.44.3 | ✓ | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.3.o.b.44.3 | ✓ | 40 | 105.44 | odd | 6 | inner | |
105.3.o.b.44.4 | yes | 40 | 7.2 | even | 3 | inner | |
105.3.o.b.44.17 | yes | 40 | 35.9 | even | 6 | inner | |
105.3.o.b.44.18 | yes | 40 | 21.2 | odd | 6 | inner | |
105.3.o.b.74.3 | yes | 40 | 1.1 | even | 1 | trivial | |
105.3.o.b.74.4 | yes | 40 | 15.14 | odd | 2 | inner | |
105.3.o.b.74.17 | yes | 40 | 3.2 | odd | 2 | inner | |
105.3.o.b.74.18 | yes | 40 | 5.4 | even | 2 | inner |