Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(317,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 4, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.317");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bv (of order \(12\), degree \(4\), 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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 515.20 | ||
Character | \(\chi\) | \(=\) | 546.515 |
Dual form | 546.2.bv.a.317.20 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.965926 | + | 0.258819i | 0.683013 | + | 0.183013i | ||||
\(3\) | −1.71747 | + | 0.224294i | −0.991580 | + | 0.129496i | ||||
\(4\) | 0.866025 | + | 0.500000i | 0.433013 | + | 0.250000i | ||||
\(5\) | −2.30125 | − | 0.616617i | −1.02915 | − | 0.275760i | −0.295539 | − | 0.955331i | \(-0.595499\pi\) |
−0.733610 | + | 0.679571i | \(0.762166\pi\) | |||||||
\(6\) | −1.71700 | − | 0.227862i | −0.700961 | − | 0.0930241i | ||||
\(7\) | 2.49307 | + | 0.885767i | 0.942293 | + | 0.334789i | ||||
\(8\) | 0.707107 | + | 0.707107i | 0.250000 | + | 0.250000i | ||||
\(9\) | 2.89938 | − | 0.770435i | 0.966461 | − | 0.256812i | ||||
\(10\) | −2.06324 | − | 1.19121i | −0.652454 | − | 0.376695i | ||||
\(11\) | −4.42909 | + | 1.18677i | −1.33542 | + | 0.357825i | −0.854733 | − | 0.519067i | \(-0.826279\pi\) |
−0.480687 | + | 0.876892i | \(0.659613\pi\) | |||||||
\(12\) | −1.59952 | − | 0.664489i | −0.461741 | − | 0.191821i | ||||
\(13\) | −1.86076 | + | 3.08830i | −0.516081 | + | 0.856540i | ||||
\(14\) | 2.17887 | + | 1.50084i | 0.582328 | + | 0.401116i | ||||
\(15\) | 4.09062 | + | 0.542863i | 1.05619 | + | 0.140167i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | −2.95298 | + | 5.11472i | −0.716204 | + | 1.24050i | 0.246289 | + | 0.969196i | \(0.420789\pi\) |
−0.962493 | + | 0.271305i | \(0.912545\pi\) | |||||||
\(18\) | 2.99999 | + | 0.00623244i | 0.707105 | + | 0.00146900i | ||||
\(19\) | 0.323512 | − | 1.20736i | 0.0742187 | − | 0.276988i | −0.918836 | − | 0.394639i | \(-0.870870\pi\) |
0.993055 | + | 0.117651i | \(0.0375364\pi\) | |||||||
\(20\) | −1.68463 | − | 1.68463i | −0.376695 | − | 0.376695i | ||||
\(21\) | −4.48044 | − | 0.962094i | −0.977713 | − | 0.209946i | ||||
\(22\) | −4.58533 | −0.977596 | ||||||||
\(23\) | 3.26170 | + | 5.64943i | 0.680111 | + | 1.17799i | 0.974947 | + | 0.222439i | \(0.0714018\pi\) |
−0.294836 | + | 0.955548i | \(0.595265\pi\) | |||||||
\(24\) | −1.37303 | − | 1.05583i | −0.280269 | − | 0.215521i | ||||
\(25\) | 0.585393 | + | 0.337977i | 0.117079 | + | 0.0675953i | ||||
\(26\) | −2.59666 | + | 2.50147i | −0.509248 | + | 0.490578i | ||||
\(27\) | −4.80679 | + | 1.97351i | −0.925068 | + | 0.379803i | ||||
\(28\) | 1.71618 | + | 2.01363i | 0.324328 | + | 0.380541i | ||||
\(29\) | − | 2.63146i | − | 0.488650i | −0.969693 | − | 0.244325i | \(-0.921434\pi\) | ||
0.969693 | − | 0.244325i | \(-0.0785664\pi\) | |||||||
\(30\) | 3.81073 | + | 1.58310i | 0.695741 | + | 0.289032i | ||||
\(31\) | −5.95364 | + | 1.59527i | −1.06931 | + | 0.286520i | −0.750208 | − | 0.661202i | \(-0.770047\pi\) |
−0.319098 | + | 0.947722i | \(0.603380\pi\) | |||||||
\(32\) | 0.258819 | + | 0.965926i | 0.0457532 | + | 0.170753i | ||||
\(33\) | 7.34063 | − | 3.03166i | 1.27784 | − | 0.527744i | ||||
\(34\) | −4.17615 | + | 4.17615i | −0.716204 | + | 0.716204i | ||||
\(35\) | −5.19100 | − | 3.57564i | −0.877439 | − | 0.604394i | ||||
\(36\) | 2.89616 | + | 0.782476i | 0.482693 | + | 0.130413i | ||||
\(37\) | −1.75031 | − | 0.468993i | −0.287749 | − | 0.0771020i | 0.112057 | − | 0.993702i | \(-0.464256\pi\) |
−0.399806 | + | 0.916600i | \(0.630923\pi\) | |||||||
\(38\) | 0.624977 | − | 1.08249i | 0.101385 | − | 0.175603i | ||||
\(39\) | 2.50310 | − | 5.72141i | 0.400817 | − | 0.916158i | ||||
\(40\) | −1.19121 | − | 2.06324i | −0.188347 | − | 0.326227i | ||||
\(41\) | −1.95111 | + | 1.95111i | −0.304712 | + | 0.304712i | −0.842854 | − | 0.538142i | \(-0.819126\pi\) |
0.538142 | + | 0.842854i | \(0.319126\pi\) | |||||||
\(42\) | −4.07877 | − | 2.08894i | −0.629368 | − | 0.322330i | ||||
\(43\) | 9.07474i | 1.38389i | 0.721953 | + | 0.691943i | \(0.243245\pi\) | ||||
−0.721953 | + | 0.691943i | \(0.756755\pi\) | |||||||
\(44\) | −4.42909 | − | 1.18677i | −0.667710 | − | 0.178912i | ||||
\(45\) | −7.14726 | − | 0.0148483i | −1.06545 | − | 0.00221346i | ||||
\(46\) | 1.68838 | + | 6.30112i | 0.248938 | + | 0.929049i | ||||
\(47\) | −0.736826 | + | 2.74987i | −0.107477 | + | 0.401110i | −0.998614 | − | 0.0526238i | \(-0.983242\pi\) |
0.891137 | + | 0.453734i | \(0.149908\pi\) | |||||||
\(48\) | −1.05298 | − | 1.37522i | −0.151984 | − | 0.198496i | ||||
\(49\) | 5.43083 | + | 4.41657i | 0.775833 | + | 0.630938i | ||||
\(50\) | 0.477971 | + | 0.477971i | 0.0675953 | + | 0.0675953i | ||||
\(51\) | 3.92445 | − | 9.44670i | 0.549533 | − | 1.32280i | ||||
\(52\) | −3.15561 | + | 1.74417i | −0.437605 | + | 0.241872i | ||||
\(53\) | −3.46376 | − | 1.99980i | −0.475784 | − | 0.274694i | 0.242874 | − | 0.970058i | \(-0.421910\pi\) |
−0.718658 | + | 0.695364i | \(0.755243\pi\) | |||||||
\(54\) | −5.15379 | + | 0.662177i | −0.701342 | + | 0.0901109i | ||||
\(55\) | 10.9242 | 1.47302 | ||||||||
\(56\) | 1.13654 | + | 2.38920i | 0.151876 | + | 0.319270i | ||||
\(57\) | −0.284816 | + | 2.14617i | −0.0377249 | + | 0.284267i | ||||
\(58\) | 0.681073 | − | 2.54180i | 0.0894292 | − | 0.333754i | ||||
\(59\) | 11.8887 | − | 3.18558i | 1.54778 | − | 0.414727i | 0.619010 | − | 0.785383i | \(-0.287534\pi\) |
0.928770 | + | 0.370656i | \(0.120867\pi\) | |||||||
\(60\) | 3.27115 | + | 2.51544i | 0.422303 | + | 0.324742i | ||||
\(61\) | −2.99008 | − | 5.17897i | −0.382841 | − | 0.663099i | 0.608626 | − | 0.793457i | \(-0.291721\pi\) |
−0.991467 | + | 0.130358i | \(0.958387\pi\) | |||||||
\(62\) | −6.16367 | −0.782786 | ||||||||
\(63\) | 7.91081 | + | 0.647427i | 0.996668 | + | 0.0815682i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | 6.18636 | − | 5.95956i | 0.767323 | − | 0.739193i | ||||
\(66\) | 7.87515 | − | 1.02846i | 0.969364 | − | 0.126595i | ||||
\(67\) | 9.93115 | − | 2.66104i | 1.21328 | − | 0.325098i | 0.405234 | − | 0.914213i | \(-0.367190\pi\) |
0.808049 | + | 0.589115i | \(0.200524\pi\) | |||||||
\(68\) | −5.11472 | + | 2.95298i | −0.620251 | + | 0.358102i | ||||
\(69\) | −6.86899 | − | 8.97112i | −0.826929 | − | 1.08000i | ||||
\(70\) | −4.08868 | − | 4.79733i | −0.488690 | − | 0.573391i | ||||
\(71\) | 8.41870 | − | 8.41870i | 0.999116 | − | 0.999116i | −0.000883786 | − | 1.00000i | \(-0.500281\pi\) |
1.00000 | 0.000883786i | \(0.000281318\pi\) | ||||||||
\(72\) | 2.59495 | + | 1.50539i | 0.305818 | + | 0.177412i | ||||
\(73\) | −2.85119 | − | 10.6408i | −0.333706 | − | 1.24541i | −0.905265 | − | 0.424847i | \(-0.860328\pi\) |
0.571559 | − | 0.820561i | \(-0.306339\pi\) | |||||||
\(74\) | −1.56928 | − | 0.906026i | −0.182425 | − | 0.105323i | ||||
\(75\) | −1.08120 | − | 0.449163i | −0.124846 | − | 0.0518649i | ||||
\(76\) | 0.883851 | − | 0.883851i | 0.101385 | − | 0.101385i | ||||
\(77\) | −12.0932 | − | 0.964434i | −1.37815 | − | 0.109907i | ||||
\(78\) | 3.89862 | − | 4.87860i | 0.441432 | − | 0.552393i | ||||
\(79\) | 3.81078 | + | 6.60047i | 0.428747 | + | 0.742611i | 0.996762 | − | 0.0804068i | \(-0.0256219\pi\) |
−0.568015 | + | 0.823018i | \(0.692289\pi\) | |||||||
\(80\) | −0.616617 | − | 2.30125i | −0.0689399 | − | 0.257287i | ||||
\(81\) | 7.81286 | − | 4.46758i | 0.868095 | − | 0.496397i | ||||
\(82\) | −2.38961 | + | 1.37964i | −0.263888 | + | 0.152356i | ||||
\(83\) | 9.74816 | − | 9.74816i | 1.07000 | − | 1.07000i | 0.0726418 | − | 0.997358i | \(-0.476857\pi\) |
0.997358 | − | 0.0726418i | \(-0.0231430\pi\) | |||||||
\(84\) | −3.39913 | − | 3.07342i | −0.370876 | − | 0.335338i | ||||
\(85\) | 9.94937 | − | 9.94937i | 1.07916 | − | 1.07916i | ||||
\(86\) | −2.34872 | + | 8.76553i | −0.253269 | + | 0.945211i | ||||
\(87\) | 0.590222 | + | 4.51945i | 0.0632784 | + | 0.484536i | ||||
\(88\) | −3.97101 | − | 2.29266i | −0.423311 | − | 0.244399i | ||||
\(89\) | −2.47718 | + | 9.24498i | −0.262581 | + | 0.979966i | 0.701133 | + | 0.713030i | \(0.252678\pi\) |
−0.963714 | + | 0.266936i | \(0.913989\pi\) | |||||||
\(90\) | −6.89988 | − | 1.86419i | −0.727311 | − | 0.196503i | ||||
\(91\) | −7.37452 | + | 6.05116i | −0.773059 | + | 0.634334i | ||||
\(92\) | 6.52340i | 0.680111i | ||||||||
\(93\) | 9.86737 | − | 4.07520i | 1.02320 | − | 0.422578i | ||||
\(94\) | −1.42344 | + | 2.46547i | −0.146816 | + | 0.254294i | ||||
\(95\) | −1.48896 | + | 2.57896i | −0.152764 | + | 0.264595i | ||||
\(96\) | −0.661165 | − | 1.60089i | −0.0674798 | − | 0.163391i | ||||
\(97\) | 3.90221 | + | 3.90221i | 0.396210 | + | 0.396210i | 0.876894 | − | 0.480684i | \(-0.159612\pi\) |
−0.480684 | + | 0.876894i | \(0.659612\pi\) | |||||||
\(98\) | 4.10269 | + | 5.67168i | 0.414434 | + | 0.572926i | ||||
\(99\) | −11.9273 | + | 6.85323i | −1.19874 | + | 0.688776i | ||||
\(100\) | 0.337977 | + | 0.585393i | 0.0337977 | + | 0.0585393i | ||||
\(101\) | −1.78120 | + | 3.08513i | −0.177236 | + | 0.306982i | −0.940933 | − | 0.338593i | \(-0.890049\pi\) |
0.763697 | + | 0.645575i | \(0.223382\pi\) | |||||||
\(102\) | 6.23571 | − | 8.10909i | 0.617428 | − | 0.802919i | ||||
\(103\) | 6.40506 | − | 3.69796i | 0.631109 | − | 0.364371i | −0.150072 | − | 0.988675i | \(-0.547951\pi\) |
0.781181 | + | 0.624304i | \(0.214617\pi\) | |||||||
\(104\) | −3.49951 | + | 0.868003i | −0.343155 | + | 0.0851147i | ||||
\(105\) | 9.71736 | + | 4.97673i | 0.948317 | + | 0.485680i | ||||
\(106\) | −2.82815 | − | 2.82815i | −0.274694 | − | 0.274694i | ||||
\(107\) | −4.79107 | + | 2.76613i | −0.463170 | + | 0.267411i | −0.713376 | − | 0.700781i | \(-0.752835\pi\) |
0.250206 | + | 0.968193i | \(0.419502\pi\) | |||||||
\(108\) | −5.14956 | − | 0.694285i | −0.495517 | − | 0.0668076i | ||||
\(109\) | −16.9228 | + | 4.53445i | −1.62091 | + | 0.434321i | −0.951269 | − | 0.308363i | \(-0.900219\pi\) |
−0.669641 | + | 0.742685i | \(0.733552\pi\) | |||||||
\(110\) | 10.5520 | + | 2.82739i | 1.00609 | + | 0.269581i | ||||
\(111\) | 3.11129 | + | 0.412897i | 0.295310 | + | 0.0391904i | ||||
\(112\) | 0.479440 | + | 2.60195i | 0.0453028 | + | 0.245861i | ||||
\(113\) | 9.52648i | 0.896176i | 0.893989 | + | 0.448088i | \(0.147895\pi\) | ||||
−0.893989 | + | 0.448088i | \(0.852105\pi\) | |||||||
\(114\) | −0.830580 | + | 1.99932i | −0.0777910 | + | 0.187254i | ||||
\(115\) | −4.02244 | − | 15.0119i | −0.375094 | − | 1.39987i | ||||
\(116\) | 1.31573 | − | 2.27891i | 0.122163 | − | 0.211592i | ||||
\(117\) | −3.01572 | + | 10.3878i | −0.278803 | + | 0.960348i | ||||
\(118\) | 12.3081 | 1.13305 | ||||||||
\(119\) | −11.8925 | + | 10.1357i | −1.09018 | + | 0.929139i | ||||
\(120\) | 2.50864 | + | 3.27637i | 0.229007 | + | 0.299090i | ||||
\(121\) | 8.68212 | − | 5.01263i | 0.789284 | − | 0.455693i | ||||
\(122\) | −1.54778 | − | 5.77639i | −0.140129 | − | 0.522970i | ||||
\(123\) | 2.91334 | − | 3.78858i | 0.262687 | − | 0.341605i | ||||
\(124\) | −5.95364 | − | 1.59527i | −0.534653 | − | 0.143260i | ||||
\(125\) | 7.28442 | + | 7.28442i | 0.651538 | + | 0.651538i | ||||
\(126\) | 7.47368 | + | 2.67283i | 0.665809 | + | 0.238115i | ||||
\(127\) | − | 9.86636i | − | 0.875497i | −0.899097 | − | 0.437749i | \(-0.855776\pi\) | ||
0.899097 | − | 0.437749i | \(-0.144224\pi\) | |||||||
\(128\) | −0.258819 | + | 0.965926i | −0.0228766 | + | 0.0853766i | ||||
\(129\) | −2.03541 | − | 15.5856i | −0.179208 | − | 1.37223i | ||||
\(130\) | 7.51801 | − | 4.15535i | 0.659373 | − | 0.364448i | ||||
\(131\) | 10.0357 | − | 5.79409i | 0.876819 | − | 0.506232i | 0.00721095 | − | 0.999974i | \(-0.497705\pi\) |
0.869608 | + | 0.493742i | \(0.164371\pi\) | |||||||
\(132\) | 7.87300 | + | 1.04482i | 0.685257 | + | 0.0909400i | ||||
\(133\) | 1.87598 | − | 2.72349i | 0.162668 | − | 0.236156i | ||||
\(134\) | 10.2815 | 0.888185 | ||||||||
\(135\) | 12.2785 | − | 1.57759i | 1.05677 | − | 0.135777i | ||||
\(136\) | −5.70473 | + | 1.52858i | −0.489176 | + | 0.131074i | ||||
\(137\) | −10.5912 | + | 2.83789i | −0.904864 | + | 0.242458i | −0.681104 | − | 0.732187i | \(-0.738500\pi\) |
−0.223760 | + | 0.974644i | \(0.571833\pi\) | |||||||
\(138\) | −4.31304 | − | 10.4433i | −0.367150 | − | 0.888990i | ||||
\(139\) | −13.6682 | −1.15932 | −0.579661 | − | 0.814858i | \(-0.696815\pi\) | ||||
−0.579661 | + | 0.814858i | \(0.696815\pi\) | |||||||
\(140\) | −2.70772 | − | 5.69210i | −0.228844 | − | 0.481070i | ||||
\(141\) | 0.648694 | − | 4.88808i | 0.0546299 | − | 0.411650i | ||||
\(142\) | 10.3108 | − | 5.95292i | 0.865260 | − | 0.499558i | ||||
\(143\) | 4.57636 | − | 15.8866i | 0.382694 | − | 1.32851i | ||||
\(144\) | 2.11691 | + | 2.12572i | 0.176409 | + | 0.177144i | ||||
\(145\) | −1.62261 | + | 6.05565i | −0.134750 | + | 0.502894i | ||||
\(146\) | − | 11.0161i | − | 0.911702i | ||||||
\(147\) | −10.3179 | − | 6.36720i | −0.851005 | − | 0.525158i | ||||
\(148\) | −1.28131 | − | 1.28131i | −0.105323 | − | 0.105323i | ||||
\(149\) | −6.71519 | − | 1.79933i | −0.550130 | − | 0.147407i | −0.0269619 | − | 0.999636i | \(-0.508583\pi\) |
−0.523168 | + | 0.852230i | \(0.675250\pi\) | |||||||
\(150\) | −0.928105 | − | 0.713693i | −0.0757795 | − | 0.0582728i | ||||
\(151\) | 0.402539 | + | 1.50230i | 0.0327582 | + | 0.122255i | 0.980369 | − | 0.197173i | \(-0.0631760\pi\) |
−0.947611 | + | 0.319428i | \(0.896509\pi\) | |||||||
\(152\) | 1.08249 | − | 0.624977i | 0.0878017 | − | 0.0506923i | ||||
\(153\) | −4.62128 | + | 17.1046i | −0.373608 | + | 1.38283i | ||||
\(154\) | −11.4316 | − | 4.06153i | −0.921182 | − | 0.327288i | ||||
\(155\) | 14.6845 | 1.17949 | ||||||||
\(156\) | 5.02845 | − | 3.70333i | 0.402598 | − | 0.296504i | ||||
\(157\) | 4.37974 | − | 7.58593i | 0.349541 | − | 0.605423i | −0.636627 | − | 0.771172i | \(-0.719671\pi\) |
0.986168 | + | 0.165749i | \(0.0530042\pi\) | |||||||
\(158\) | 1.97261 | + | 7.36187i | 0.156932 | + | 0.585679i | ||||
\(159\) | 6.39744 | + | 2.65770i | 0.507350 | + | 0.210769i | ||||
\(160\) | − | 2.38243i | − | 0.188347i | ||||||
\(161\) | 3.12758 | + | 16.9735i | 0.246488 | + | 1.33770i | ||||
\(162\) | 8.70294 | − | 2.29323i | 0.683767 | − | 0.180173i | ||||
\(163\) | −4.97496 | − | 1.33304i | −0.389669 | − | 0.104411i | 0.0586647 | − | 0.998278i | \(-0.481316\pi\) |
−0.448334 | + | 0.893866i | \(0.647982\pi\) | |||||||
\(164\) | −2.66526 | + | 0.714154i | −0.208122 | + | 0.0557661i | ||||
\(165\) | −18.7620 | + | 2.45024i | −1.46062 | + | 0.190751i | ||||
\(166\) | 11.9390 | − | 6.89299i | 0.926647 | − | 0.535000i | ||||
\(167\) | 12.1133 | + | 12.1133i | 0.937356 | + | 0.937356i | 0.998150 | − | 0.0607939i | \(-0.0193632\pi\) |
−0.0607939 | + | 0.998150i | \(0.519363\pi\) | |||||||
\(168\) | −2.48785 | − | 3.84846i | −0.191942 | − | 0.296915i | ||||
\(169\) | −6.07517 | − | 11.4931i | −0.467321 | − | 0.884088i | ||||
\(170\) | 12.1854 | − | 7.03527i | 0.934581 | − | 0.539580i | ||||
\(171\) | 0.00779026 | − | 3.74985i | 0.000595736 | − | 0.286758i | ||||
\(172\) | −4.53737 | + | 7.85896i | −0.345971 | + | 0.599240i | ||||
\(173\) | −2.78524 | − | 4.82417i | −0.211758 | − | 0.366775i | 0.740507 | − | 0.672049i | \(-0.234585\pi\) |
−0.952265 | + | 0.305274i | \(0.901252\pi\) | |||||||
\(174\) | −0.599609 | + | 4.51821i | −0.0454563 | + | 0.342525i | ||||
\(175\) | 1.16006 | + | 1.36112i | 0.0876922 | + | 0.102891i | ||||
\(176\) | −3.24232 | − | 3.24232i | −0.244399 | − | 0.244399i | ||||
\(177\) | −19.7040 | + | 8.13769i | −1.48104 | + | 0.611666i | ||||
\(178\) | −4.78555 | + | 8.28882i | −0.358692 | + | 0.621273i | ||||
\(179\) | −9.81003 | + | 16.9915i | −0.733236 | + | 1.27000i | 0.222257 | + | 0.974988i | \(0.428658\pi\) |
−0.955493 | + | 0.295014i | \(0.904676\pi\) | |||||||
\(180\) | −6.18229 | − | 3.58649i | −0.460800 | − | 0.267321i | ||||
\(181\) | 17.7356i | 1.31828i | 0.752021 | + | 0.659139i | \(0.229079\pi\) | ||||
−0.752021 | + | 0.659139i | \(0.770921\pi\) | |||||||
\(182\) | −8.68939 | + | 3.93630i | −0.644101 | + | 0.291778i | ||||
\(183\) | 6.29698 | + | 8.22405i | 0.465486 | + | 0.607940i | ||||
\(184\) | −1.68838 | + | 6.30112i | −0.124469 | + | 0.464524i | ||||
\(185\) | 3.73870 | + | 2.15854i | 0.274875 | + | 0.158699i | ||||
\(186\) | 10.5859 | − | 1.38247i | 0.776195 | − | 0.101368i | ||||
\(187\) | 7.00903 | − | 26.1581i | 0.512551 | − | 1.91287i | ||||
\(188\) | −2.01305 | + | 2.01305i | −0.146816 | + | 0.146816i | ||||
\(189\) | −13.7318 | + | 0.662412i | −0.998839 | + | 0.0481834i | ||||
\(190\) | −2.10571 | + | 2.10571i | −0.152764 | + | 0.152764i | ||||
\(191\) | −10.2093 | + | 5.89437i | −0.738722 | + | 0.426501i | −0.821604 | − | 0.570058i | \(-0.806921\pi\) |
0.0828824 | + | 0.996559i | \(0.473587\pi\) | |||||||
\(192\) | −0.224294 | − | 1.71747i | −0.0161870 | − | 0.123947i | ||||
\(193\) | −3.71322 | − | 13.8579i | −0.267284 | − | 0.997517i | −0.960838 | − | 0.277112i | \(-0.910623\pi\) |
0.693554 | − | 0.720405i | \(-0.256044\pi\) | |||||||
\(194\) | 2.75928 | + | 4.77922i | 0.198105 | + | 0.343128i | ||||
\(195\) | −9.28817 | + | 11.6229i | −0.665140 | + | 0.832334i | ||||
\(196\) | 2.49496 | + | 6.54027i | 0.178211 | + | 0.467162i | ||||
\(197\) | −7.28557 | + | 7.28557i | −0.519075 | + | 0.519075i | −0.917292 | − | 0.398216i | \(-0.869629\pi\) |
0.398216 | + | 0.917292i | \(0.369629\pi\) | |||||||
\(198\) | −13.2946 | + | 3.53270i | −0.944808 | + | 0.251058i | ||||
\(199\) | −4.21320 | − | 2.43249i | −0.298666 | − | 0.172435i | 0.343178 | − | 0.939271i | \(-0.388497\pi\) |
−0.641843 | + | 0.766836i | \(0.721830\pi\) | |||||||
\(200\) | 0.174950 | + | 0.652921i | 0.0123708 | + | 0.0461685i | ||||
\(201\) | −16.4596 | + | 6.79775i | −1.16097 | + | 0.479476i | ||||
\(202\) | −2.51900 | + | 2.51900i | −0.177236 | + | 0.177236i | ||||
\(203\) | 2.33086 | − | 6.56043i | 0.163595 | − | 0.460452i | ||||
\(204\) | 8.12202 | − | 6.21885i | 0.568655 | − | 0.435407i | ||||
\(205\) | 5.69306 | − | 3.28689i | 0.397621 | − | 0.229566i | ||||
\(206\) | 7.14391 | − | 1.91421i | 0.497740 | − | 0.133369i | ||||
\(207\) | 13.8094 | + | 13.8669i | 0.959822 | + | 0.963818i | ||||
\(208\) | −3.60492 | − | 0.0673138i | −0.249956 | − | 0.00466737i | ||||
\(209\) | 5.73145i | 0.396453i | ||||||||
\(210\) | 8.09818 | + | 7.32219i | 0.558827 | + | 0.505279i | ||||
\(211\) | 12.6419 | 0.870302 | 0.435151 | − | 0.900357i | \(-0.356695\pi\) | ||||
0.435151 | + | 0.900357i | \(0.356695\pi\) | |||||||
\(212\) | −1.99980 | − | 3.46376i | −0.137347 | − | 0.237892i | ||||
\(213\) | −12.5706 | + | 16.3471i | −0.861321 | + | 1.12008i | ||||
\(214\) | −5.34374 | + | 1.43185i | −0.365291 | + | 0.0978794i | ||||
\(215\) | 5.59564 | − | 20.8832i | 0.381620 | − | 1.42422i | ||||
\(216\) | −4.79440 | − | 2.00343i | −0.326218 | − | 0.136316i | ||||
\(217\) | −16.2559 | − | 1.29641i | −1.10352 | − | 0.0880058i | ||||
\(218\) | −17.5198 | −1.18659 | ||||||||
\(219\) | 7.28348 | + | 17.6357i | 0.492172 | + | 1.19171i | ||||
\(220\) | 9.46064 | + | 5.46210i | 0.637836 | + | 0.368255i | ||||
\(221\) | −10.3010 | − | 18.6369i | −0.692920 | − | 1.25366i | ||||
\(222\) | 2.89841 | + | 1.20409i | 0.194528 | + | 0.0808131i | ||||
\(223\) | 17.5457 | + | 17.5457i | 1.17495 | + | 1.17495i | 0.981015 | + | 0.193930i | \(0.0621235\pi\) |
0.193930 | + | 0.981015i | \(0.437876\pi\) | |||||||
\(224\) | −0.210330 | + | 2.63738i | −0.0140533 | + | 0.176217i | ||||
\(225\) | 1.95767 | + | 0.528917i | 0.130511 | + | 0.0352611i | ||||
\(226\) | −2.46564 | + | 9.20188i | −0.164012 | + | 0.612100i | ||||
\(227\) | −0.686338 | − | 2.56145i | −0.0455538 | − | 0.170009i | 0.939401 | − | 0.342819i | \(-0.111382\pi\) |
−0.984955 | + | 0.172810i | \(0.944715\pi\) | |||||||
\(228\) | −1.31974 | + | 1.71623i | −0.0874020 | + | 0.113660i | ||||
\(229\) | 28.1786 | + | 7.55043i | 1.86209 | + | 0.498946i | 0.999970 | − | 0.00775282i | \(-0.00246782\pi\) |
0.862123 | + | 0.506699i | \(0.169134\pi\) | |||||||
\(230\) | − | 15.5415i | − | 1.02478i | ||||||
\(231\) | 20.9861 | − | 1.05606i | 1.38078 | − | 0.0694837i | ||||
\(232\) | 1.86073 | − | 1.86073i | 0.122163 | − | 0.122163i | ||||
\(233\) | −1.67441 | − | 2.90016i | −0.109694 | − | 0.189996i | 0.805952 | − | 0.591981i | \(-0.201654\pi\) |
−0.915646 | + | 0.401985i | \(0.868320\pi\) | |||||||
\(234\) | −5.60151 | + | 9.25328i | −0.366182 | + | 0.604906i | ||||
\(235\) | 3.39124 | − | 5.87379i | 0.221220 | − | 0.383164i | ||||
\(236\) | 11.8887 | + | 3.18558i | 0.773890 | + | 0.207363i | ||||
\(237\) | −8.02534 | − | 10.4814i | −0.521302 | − | 0.680837i | ||||
\(238\) | −14.1105 | + | 6.71235i | −0.914651 | + | 0.435097i | ||||
\(239\) | 11.4031 | − | 11.4031i | 0.737605 | − | 0.737605i | −0.234509 | − | 0.972114i | \(-0.575348\pi\) |
0.972114 | + | 0.234509i | \(0.0753482\pi\) | |||||||
\(240\) | 1.57518 | + | 3.81401i | 0.101677 | + | 0.246193i | ||||
\(241\) | 0.0441972 | + | 0.164946i | 0.00284699 | + | 0.0106251i | 0.967335 | − | 0.253503i | \(-0.0815826\pi\) |
−0.964488 | + | 0.264128i | \(0.914916\pi\) | |||||||
\(242\) | 9.68365 | − | 2.59473i | 0.622489 | − | 0.166795i | ||||
\(243\) | −12.4163 | + | 9.42529i | −0.796504 | + | 0.604633i | ||||
\(244\) | − | 5.98016i | − | 0.382841i | ||||||
\(245\) | −9.77436 | − | 13.5124i | −0.624461 | − | 0.863273i | ||||
\(246\) | 3.79463 | − | 2.90546i | 0.241936 | − | 0.185245i | ||||
\(247\) | 3.12672 | + | 3.24571i | 0.198948 | + | 0.206520i | ||||
\(248\) | −5.33789 | − | 3.08183i | −0.338956 | − | 0.195697i | ||||
\(249\) | −14.5557 | + | 18.9286i | −0.922429 | + | 1.19955i | ||||
\(250\) | 5.15086 | + | 8.92155i | 0.325769 | + | 0.564249i | ||||
\(251\) | −1.99521 | −0.125937 | −0.0629683 | − | 0.998016i | \(-0.520057\pi\) | ||||
−0.0629683 | + | 0.998016i | \(0.520057\pi\) | |||||||
\(252\) | 6.52724 | + | 4.51609i | 0.411178 | + | 0.284487i | ||||
\(253\) | −21.1509 | − | 21.1509i | −1.32975 | − | 1.32975i | ||||
\(254\) | 2.55360 | − | 9.53017i | 0.160227 | − | 0.597976i | ||||
\(255\) | −14.8561 | + | 19.3193i | −0.930327 | + | 1.20982i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 2.34151 | + | 4.05562i | 0.146060 | + | 0.252983i | 0.929768 | − | 0.368147i | \(-0.120008\pi\) |
−0.783708 | + | 0.621129i | \(0.786674\pi\) | |||||||
\(258\) | 2.06779 | − | 15.5813i | 0.128735 | − | 0.970050i | ||||
\(259\) | −3.94823 | − | 2.71960i | −0.245331 | − | 0.168988i | ||||
\(260\) | 8.33732 | − | 2.06795i | 0.517059 | − | 0.128249i | ||||
\(261\) | −2.02737 | − | 7.62962i | −0.125491 | − | 0.472262i | ||||
\(262\) | 11.1933 | − | 2.99924i | 0.691526 | − | 0.185294i | ||||
\(263\) | 7.97634 | + | 4.60514i | 0.491842 | + | 0.283965i | 0.725338 | − | 0.688392i | \(-0.241683\pi\) |
−0.233496 | + | 0.972358i | \(0.575017\pi\) | |||||||
\(264\) | 7.33431 | + | 3.04690i | 0.451396 | + | 0.187524i | ||||
\(265\) | 6.73786 | + | 6.73786i | 0.413903 | + | 0.413903i | ||||
\(266\) | 2.51695 | − | 2.14515i | 0.154324 | − | 0.131527i | ||||
\(267\) | 2.18089 | − | 16.4336i | 0.133468 | − | 1.00572i | ||||
\(268\) | 9.93115 | + | 2.66104i | 0.606641 | + | 0.162549i | ||||
\(269\) | −11.1019 | − | 6.40967i | −0.676893 | − | 0.390805i | 0.121790 | − | 0.992556i | \(-0.461136\pi\) |
−0.798683 | + | 0.601751i | \(0.794470\pi\) | |||||||
\(270\) | 12.2684 | + | 1.65408i | 0.746634 | + | 0.100664i | ||||
\(271\) | −7.42167 | − | 1.98863i | −0.450835 | − | 0.120801i | 0.0262553 | − | 0.999655i | \(-0.491642\pi\) |
−0.477090 | + | 0.878855i | \(0.658308\pi\) | |||||||
\(272\) | −5.90597 | −0.358102 | ||||||||
\(273\) | 11.3082 | − | 12.0467i | 0.684406 | − | 0.729101i | ||||
\(274\) | −10.9648 | −0.662406 | ||||||||
\(275\) | −2.99386 | − | 0.802201i | −0.180536 | − | 0.0483746i | ||||
\(276\) | −1.46316 | − | 11.2037i | −0.0880718 | − | 0.674384i | ||||
\(277\) | 25.0130 | + | 14.4413i | 1.50288 | + | 0.867691i | 0.999994 | + | 0.00334019i | \(0.00106322\pi\) |
0.502890 | + | 0.864350i | \(0.332270\pi\) | |||||||
\(278\) | −13.2025 | − | 3.53759i | −0.791832 | − | 0.212171i | ||||
\(279\) | −16.0328 | + | 9.21221i | −0.959861 | + | 0.551521i | ||||
\(280\) | −1.14223 | − | 6.19895i | −0.0682613 | − | 0.370458i | ||||
\(281\) | −13.3466 | − | 13.3466i | −0.796190 | − | 0.796190i | 0.186303 | − | 0.982492i | \(-0.440349\pi\) |
−0.982492 | + | 0.186303i | \(0.940349\pi\) | |||||||
\(282\) | 1.89172 | − | 4.55363i | 0.112650 | − | 0.271165i | ||||
\(283\) | 21.4097 | + | 12.3609i | 1.27268 | + | 0.734780i | 0.975491 | − | 0.220040i | \(-0.0706187\pi\) |
0.297185 | + | 0.954820i | \(0.403952\pi\) | |||||||
\(284\) | 11.5002 | − | 3.08146i | 0.682409 | − | 0.182851i | ||||
\(285\) | 1.97880 | − | 4.76324i | 0.117214 | − | 0.282150i | ||||
\(286\) | 8.53218 | − | 14.1609i | 0.504519 | − | 0.837349i | ||||
\(287\) | −6.59248 | + | 3.13603i | −0.389142 | + | 0.185114i | ||||
\(288\) | 1.49460 | + | 2.60119i | 0.0880701 | + | 0.153276i | ||||
\(289\) | −8.94023 | − | 15.4849i | −0.525896 | − | 0.910879i | ||||
\(290\) | −3.13463 | + | 5.42934i | −0.184072 | + | 0.318822i | ||||
\(291\) | −7.57717 | − | 5.82668i | −0.444181 | − | 0.341566i | ||||
\(292\) | 2.85119 | − | 10.6408i | 0.166853 | − | 0.622704i | ||||
\(293\) | 11.8909 | + | 11.8909i | 0.694677 | + | 0.694677i | 0.963257 | − | 0.268581i | \(-0.0865545\pi\) |
−0.268581 | + | 0.963257i | \(0.586555\pi\) | |||||||
\(294\) | −8.31836 | − | 8.82071i | −0.485137 | − | 0.514434i | ||||
\(295\) | −29.3232 | −1.70726 | ||||||||
\(296\) | −0.906026 | − | 1.56928i | −0.0526617 | − | 0.0912127i | ||||
\(297\) | 18.9476 | − | 14.4454i | 1.09945 | − | 0.838208i | ||||
\(298\) | −6.02067 | − | 3.47604i | −0.348768 | − | 0.201361i | ||||
\(299\) | −23.5163 | − | 0.439114i | −1.35998 | − | 0.0253946i | ||||
\(300\) | −0.711764 | − | 0.929586i | −0.0410937 | − | 0.0536697i | ||||
\(301\) | −8.03811 | + | 22.6240i | −0.463309 | + | 1.30403i | ||||
\(302\) | 1.55529i | 0.0894970i | ||||||||
\(303\) | 2.36718 | − | 5.69813i | 0.135991 | − | 0.327349i | ||||
\(304\) | 1.20736 | − | 0.323512i | 0.0692470 | − | 0.0185547i | ||||
\(305\) | 3.68747 | + | 13.7618i | 0.211144 | + | 0.788000i | ||||
\(306\) | −8.89081 | + | 15.3257i | −0.508254 | + | 0.876113i | ||||
\(307\) | −19.6594 | + | 19.6594i | −1.12202 | + | 1.12202i | −0.130583 | + | 0.991437i | \(0.541685\pi\) |
−0.991437 | + | 0.130583i | \(0.958315\pi\) | |||||||
\(308\) | −9.99084 | − | 6.88185i | −0.569281 | − | 0.392130i | ||||
\(309\) | −10.1710 | + | 7.78774i | −0.578610 | + | 0.443029i | ||||
\(310\) | 14.1841 | + | 3.80062i | 0.805604 | + | 0.215861i | ||||
\(311\) | 4.60208 | − | 7.97103i | 0.260960 | − | 0.451996i | −0.705537 | − | 0.708673i | \(-0.749294\pi\) |
0.966497 | + | 0.256677i | \(0.0826277\pi\) | |||||||
\(312\) | 5.81560 | − | 2.27569i | 0.329244 | − | 0.128835i | ||||
\(313\) | −0.335748 | − | 0.581532i | −0.0189776 | − | 0.0328701i | 0.856381 | − | 0.516345i | \(-0.172708\pi\) |
−0.875358 | + | 0.483475i | \(0.839374\pi\) | |||||||
\(314\) | 6.19388 | − | 6.19388i | 0.349541 | − | 0.349541i | ||||
\(315\) | −17.8055 | − | 6.36783i | −1.00323 | − | 0.358786i | ||||
\(316\) | 7.62157i | 0.428747i | ||||||||
\(317\) | 15.8697 | + | 4.25228i | 0.891332 | + | 0.238832i | 0.675290 | − | 0.737552i | \(-0.264018\pi\) |
0.216042 | + | 0.976384i | \(0.430685\pi\) | |||||||
\(318\) | 5.49159 | + | 4.22292i | 0.307953 | + | 0.236809i | ||||
\(319\) | 3.12294 | + | 11.6550i | 0.174851 | + | 0.652554i | ||||
\(320\) | 0.616617 | − | 2.30125i | 0.0344699 | − | 0.128644i | ||||
\(321\) | 7.60808 | − | 5.82534i | 0.424641 | − | 0.325139i | ||||
\(322\) | −1.37207 | + | 17.2047i | −0.0764624 | + | 0.958778i | ||||
\(323\) | 5.21999 | + | 5.21999i | 0.290448 | + | 0.290448i | ||||
\(324\) | 8.99992 | + | 0.0373946i | 0.499996 | + | 0.00207748i | ||||
\(325\) | −2.13305 | + | 1.17897i | −0.118320 | + | 0.0653977i | ||||
\(326\) | −4.46043 | − | 2.57523i | −0.247040 | − | 0.142629i | ||||
\(327\) | 28.0473 | − | 11.5834i | 1.55102 | − | 0.640566i | ||||
\(328\) | −2.75928 | −0.152356 | ||||||||
\(329\) | −4.27271 | + | 6.20298i | −0.235562 | + | 0.341981i | ||||
\(330\) | −18.7568 | − | 2.48921i | −1.03253 | − | 0.137026i | ||||
\(331\) | −5.45650 | + | 20.3640i | −0.299917 | + | 1.11930i | 0.637317 | + | 0.770602i | \(0.280044\pi\) |
−0.937234 | + | 0.348702i | \(0.886622\pi\) | |||||||
\(332\) | 13.3162 | − | 3.56808i | 0.730824 | − | 0.195824i | ||||
\(333\) | −5.43614 | − | 0.0112935i | −0.297899 | − | 0.000618880i | ||||
\(334\) | 8.56541 | + | 14.8357i | 0.468678 | + | 0.811774i | ||||
\(335\) | −24.4949 | −1.33830 | ||||||||
\(336\) | −1.40702 | − | 4.36122i | −0.0767595 | − | 0.237924i | ||||
\(337\) | − | 14.5606i | − | 0.793168i | −0.917998 | − | 0.396584i | \(-0.870196\pi\) | ||
0.917998 | − | 0.396584i | \(-0.129804\pi\) | |||||||
\(338\) | −2.89352 | − | 12.6739i | −0.157387 | − | 0.689369i | ||||
\(339\) | −2.13673 | − | 16.3614i | −0.116051 | − | 0.888630i | ||||
\(340\) | 13.5911 | − | 3.64172i | 0.737080 | − | 0.197500i | ||||
\(341\) | 24.4760 | − | 14.1312i | 1.32545 | − | 0.765248i | ||||
\(342\) | 0.978058 | − | 3.62006i | 0.0528873 | − | 0.195751i | ||||
\(343\) | 9.62742 | + | 15.8213i | 0.519832 | + | 0.854269i | ||||
\(344\) | −6.41681 | + | 6.41681i | −0.345971 | + | 0.345971i | ||||
\(345\) | 10.2755 | + | 24.8803i | 0.553214 | + | 1.33951i | ||||
\(346\) | −1.44174 | − | 5.38066i | −0.0775086 | − | 0.289266i | ||||
\(347\) | 16.7977 | + | 9.69816i | 0.901748 | + | 0.520624i | 0.877767 | − | 0.479088i | \(-0.159033\pi\) |
0.0239811 | + | 0.999712i | \(0.492366\pi\) | |||||||
\(348\) | −1.74858 | + | 4.20907i | −0.0937336 | + | 0.225630i | ||||
\(349\) | 10.6752 | − | 10.6752i | 0.571429 | − | 0.571429i | −0.361099 | − | 0.932528i | \(-0.617598\pi\) |
0.932528 | + | 0.361099i | \(0.117598\pi\) | |||||||
\(350\) | 0.768246 | + | 1.61499i | 0.0410645 | + | 0.0863247i | ||||
\(351\) | 2.84948 | − | 18.5170i | 0.152094 | − | 0.988366i | ||||
\(352\) | −2.29266 | − | 3.97101i | −0.122199 | − | 0.211656i | ||||
\(353\) | −4.17743 | − | 15.5904i | −0.222342 | − | 0.829793i | −0.983452 | − | 0.181170i | \(-0.942012\pi\) |
0.761109 | − | 0.648623i | \(-0.224655\pi\) | |||||||
\(354\) | −21.1388 | + | 2.76064i | −1.12351 | + | 0.146726i | ||||
\(355\) | −24.5646 | + | 14.1824i | −1.30375 | + | 0.752723i | ||||
\(356\) | −6.76779 | + | 6.76779i | −0.358692 | + | 0.358692i | ||||
\(357\) | 18.1515 | − | 20.0752i | 0.960680 | − | 1.06249i | ||||
\(358\) | −13.8735 | + | 13.8735i | −0.733236 | + | 0.733236i | ||||
\(359\) | 7.58226 | − | 28.2974i | 0.400176 | − | 1.49348i | −0.412606 | − | 0.910910i | \(-0.635381\pi\) |
0.812782 | − | 0.582568i | \(-0.197952\pi\) | |||||||
\(360\) | −5.04338 | − | 5.06438i | −0.265809 | − | 0.266916i | ||||
\(361\) | 15.1014 | + | 8.71881i | 0.794811 | + | 0.458885i | ||||
\(362\) | −4.59032 | + | 17.1313i | −0.241262 | + | 0.900401i | ||||
\(363\) | −13.7870 | + | 10.5564i | −0.723627 | + | 0.554066i | ||||
\(364\) | −9.41210 | + | 1.55320i | −0.493328 | + | 0.0814097i | ||||
\(365\) | 26.2451i | 1.37373i | ||||||||
\(366\) | 3.95387 | + | 9.57360i | 0.206672 | + | 0.500420i | ||||
\(367\) | −5.01646 | + | 8.68876i | −0.261857 | + | 0.453550i | −0.966735 | − | 0.255778i | \(-0.917668\pi\) |
0.704878 | + | 0.709328i | \(0.251002\pi\) | |||||||
\(368\) | −3.26170 | + | 5.64943i | −0.170028 | + | 0.294497i | ||||
\(369\) | −4.15381 | + | 7.16021i | −0.216238 | + | 0.372746i | ||||
\(370\) | 3.05264 | + | 3.05264i | 0.158699 | + | 0.158699i | ||||
\(371\) | −6.86406 | − | 8.05375i | −0.356364 | − | 0.418130i | ||||
\(372\) | 10.5830 | + | 1.40446i | 0.548703 | + | 0.0728180i | ||||
\(373\) | −2.91895 | − | 5.05577i | −0.151137 | − | 0.261778i | 0.780508 | − | 0.625145i | \(-0.214960\pi\) |
−0.931646 | + | 0.363368i | \(0.881627\pi\) | |||||||
\(374\) | 13.5404 | − | 23.4527i | 0.700158 | − | 1.21271i | ||||
\(375\) | −14.1446 | − | 10.8769i | −0.730424 | − | 0.561680i | ||||
\(376\) | −2.46547 | + | 1.42344i | −0.127147 | + | 0.0734082i | ||||
\(377\) | 8.12674 | + | 4.89651i | 0.418548 | + | 0.252183i | ||||
\(378\) | −13.4353 | − | 2.91420i | −0.691038 | − | 0.149890i | ||||
\(379\) | −3.71989 | − | 3.71989i | −0.191078 | − | 0.191078i | 0.605084 | − | 0.796162i | \(-0.293140\pi\) |
−0.796162 | + | 0.605084i | \(0.793140\pi\) | |||||||
\(380\) | −2.57896 | + | 1.48896i | −0.132298 | + | 0.0763821i | ||||
\(381\) | 2.21297 | + | 16.9451i | 0.113374 | + | 0.868126i | ||||
\(382\) | −11.3870 | + | 3.05115i | −0.582612 | + | 0.156110i | ||||
\(383\) | 19.5605 | + | 5.24121i | 0.999493 | + | 0.267813i | 0.721233 | − | 0.692693i | \(-0.243576\pi\) |
0.278260 | + | 0.960506i | \(0.410242\pi\) | |||||||
\(384\) | 0.227862 | − | 1.71700i | 0.0116280 | − | 0.0876201i | ||||
\(385\) | 27.2349 | + | 9.67631i | 1.38802 | + | 0.493150i | ||||
\(386\) | − | 14.3468i | − | 0.730233i | ||||||
\(387\) | 6.99150 | + | 26.3112i | 0.355398 | + | 1.33747i | ||||
\(388\) | 1.42831 | + | 5.33052i | 0.0725114 | + | 0.270616i | ||||
\(389\) | −16.8379 | + | 29.1641i | −0.853716 | + | 1.47868i | 0.0241159 | + | 0.999709i | \(0.492323\pi\) |
−0.877831 | + | 0.478970i | \(0.841010\pi\) | |||||||
\(390\) | −11.9799 | + | 8.82291i | −0.606627 | + | 0.446766i | ||||
\(391\) | −38.5270 | −1.94839 | ||||||||
\(392\) | 0.717195 | + | 6.96316i | 0.0362238 | + | 0.351693i | ||||
\(393\) | −15.9363 | + | 12.2021i | −0.803881 | + | 0.615514i | ||||
\(394\) | −8.92297 | + | 5.15168i | −0.449533 | + | 0.259538i | ||||
\(395\) | −4.69959 | − | 17.5391i | −0.236462 | − | 0.882488i | ||||
\(396\) | −13.7560 | − | 0.0285778i | −0.691263 | − | 0.00143609i | ||||
\(397\) | −18.2600 | − | 4.89277i | −0.916446 | − | 0.245561i | −0.230380 | − | 0.973101i | \(-0.573997\pi\) |
−0.686065 | + | 0.727540i | \(0.740664\pi\) | |||||||
\(398\) | −3.44006 | − | 3.44006i | −0.172435 | − | 0.172435i | ||||
\(399\) | −2.61107 | + | 5.09827i | −0.130717 | + | 0.255233i | ||||
\(400\) | 0.675953i | 0.0337977i | ||||||||
\(401\) | 1.00798 | − | 3.76183i | 0.0503361 | − | 0.187857i | −0.936180 | − | 0.351521i | \(-0.885665\pi\) |
0.986516 | + | 0.163664i | \(0.0523313\pi\) | |||||||
\(402\) | −17.6581 | + | 2.30608i | −0.880706 | + | 0.115017i | ||||
\(403\) | 6.15160 | − | 21.3550i | 0.306433 | − | 1.06377i | ||||
\(404\) | −3.08513 | + | 1.78120i | −0.153491 | + | 0.0886181i | ||||
\(405\) | −20.7341 | + | 5.46345i | −1.03029 | + | 0.271481i | ||||
\(406\) | 3.94941 | − | 5.73362i | 0.196006 | − | 0.284555i | ||||
\(407\) | 8.30885 | 0.411855 | ||||||||
\(408\) | 9.45483 | − | 3.90482i | 0.468084 | − | 0.193317i | ||||
\(409\) | −24.6669 | + | 6.60947i | −1.21970 | + | 0.326817i | −0.810561 | − | 0.585655i | \(-0.800837\pi\) |
−0.409139 | + | 0.912472i | \(0.634171\pi\) | |||||||
\(410\) | 6.34979 | − | 1.70142i | 0.313594 | − | 0.0840271i | ||||
\(411\) | 17.5534 | − | 7.24952i | 0.865847 | − | 0.357592i | ||||
\(412\) | 7.39592 | 0.364371 | ||||||||
\(413\) | 32.4612 | + | 2.58877i | 1.59731 | + | 0.127385i | ||||
\(414\) | 9.74986 | + | 16.9686i | 0.479180 | + | 0.833960i | ||||
\(415\) | −28.4438 | + | 16.4220i | −1.39625 | + | 0.806126i | ||||
\(416\) | −3.46467 | − | 0.998043i | −0.169869 | − | 0.0489331i | ||||
\(417\) | 23.4747 | − | 3.06570i | 1.14956 | − | 0.150128i | ||||
\(418\) | −1.48341 | + | 5.53616i | −0.0725559 | + | 0.270782i | ||||
\(419\) | 7.12445i | 0.348052i | 0.984741 | + | 0.174026i | \(0.0556777\pi\) | ||||
−0.984741 | + | 0.174026i | \(0.944322\pi\) | |||||||
\(420\) | 5.92712 | + | 9.16866i | 0.289214 | + | 0.447385i | ||||
\(421\) | 22.3930 | + | 22.3930i | 1.09137 | + | 1.09137i | 0.995383 | + | 0.0959846i | \(0.0306000\pi\) |
0.0959846 | + | 0.995383i | \(0.469400\pi\) | |||||||
\(422\) | 12.2111 | + | 3.27196i | 0.594428 | + | 0.159276i | ||||
\(423\) | −0.0177430 | + | 8.54061i | −0.000862693 | + | 0.415259i | ||||
\(424\) | −1.03518 | − | 3.86333i | −0.0502725 | − | 0.187620i | ||||
\(425\) | −3.45731 | + | 1.99608i | −0.167704 | + | 0.0968241i | ||||
\(426\) | −16.3732 | + | 12.5366i | −0.793283 | + | 0.607399i | ||||
\(427\) | −2.86713 | − | 15.5601i | −0.138750 | − | 0.753005i | ||||
\(428\) | −5.53225 | −0.267411 | ||||||||
\(429\) | −4.29646 | + | 28.3112i | −0.207435 | + | 1.36688i | ||||
\(430\) | 10.8099 | − | 18.7234i | 0.521302 | − | 0.902922i | ||||
\(431\) | 3.64052 | + | 13.5866i | 0.175358 | + | 0.654444i | 0.996490 | + | 0.0837069i | \(0.0266759\pi\) |
−0.821133 | + | 0.570737i | \(0.806657\pi\) | |||||||
\(432\) | −4.11251 | − | 3.17605i | −0.197863 | − | 0.152808i | ||||
\(433\) | − | 16.2153i | − | 0.779258i | −0.920972 | − | 0.389629i | \(-0.872603\pi\) | ||
0.920972 | − | 0.389629i | \(-0.127397\pi\) | |||||||
\(434\) | −15.3665 | − | 5.45957i | −0.737614 | − | 0.262068i | ||||
\(435\) | 1.42853 | − | 10.7643i | 0.0684925 | − | 0.516109i | ||||
\(436\) | −16.9228 | − | 4.53445i | −0.810455 | − | 0.217161i | ||||
\(437\) | 7.87610 | − | 2.11040i | 0.376765 | − | 0.100954i | ||||
\(438\) | 2.47086 | + | 18.9199i | 0.118062 | + | 0.904026i | ||||
\(439\) | −26.9408 | + | 15.5543i | −1.28581 | + | 0.742364i | −0.977904 | − | 0.209052i | \(-0.932962\pi\) |
−0.307908 | + | 0.951416i | \(0.599629\pi\) | |||||||
\(440\) | 7.72458 | + | 7.72458i | 0.368255 | + | 0.368255i | ||||
\(441\) | 19.1488 | + | 8.62122i | 0.911845 | + | 0.410534i | ||||
\(442\) | −5.12640 | − | 20.6680i | −0.243838 | − | 0.983076i | ||||
\(443\) | −32.7373 | + | 18.9009i | −1.55540 | + | 0.898009i | −0.557710 | + | 0.830036i | \(0.688320\pi\) |
−0.997687 | + | 0.0679735i | \(0.978347\pi\) | |||||||
\(444\) | 2.48801 | + | 1.91322i | 0.118075 | + | 0.0907975i | ||||
\(445\) | 11.4012 | − | 19.7475i | 0.540470 | − | 0.936121i | ||||
\(446\) | 12.4067 | + | 21.4890i | 0.587473 | + | 1.01753i | ||||
\(447\) | 11.9367 | + | 1.58411i | 0.564586 | + | 0.0749259i | ||||
\(448\) | −0.885767 | + | 2.49307i | −0.0418486 | + | 0.117787i | ||||
\(449\) | −13.4565 | − | 13.4565i | −0.635052 | − | 0.635052i | 0.314279 | − | 0.949331i | \(-0.398237\pi\) |
−0.949331 | + | 0.314279i | \(0.898237\pi\) | |||||||
\(450\) | 1.75407 | + | 1.01758i | 0.0826875 | + | 0.0479690i | ||||
\(451\) | 6.32611 | − | 10.9571i | 0.297885 | − | 0.515951i | ||||
\(452\) | −4.76324 | + | 8.25018i | −0.224044 | + | 0.388056i | ||||
\(453\) | −1.02830 | − | 2.48986i | −0.0483139 | − | 0.116984i | ||||
\(454\) | − | 2.65180i | − | 0.124455i | ||||||
\(455\) | 20.7018 | − | 9.37795i | 0.970517 | − | 0.439645i | ||||
\(456\) | −1.71896 | + | 1.31617i | −0.0804979 | + | 0.0616355i | ||||
\(457\) | 10.1586 | − | 37.9125i | 0.475200 | − | 1.77347i | −0.145429 | − | 0.989369i | \(-0.546456\pi\) |
0.620630 | − | 0.784104i | \(-0.286877\pi\) | |||||||
\(458\) | 25.2642 | + | 14.5863i | 1.18052 | + | 0.681573i | ||||
\(459\) | 4.10042 | − | 30.4131i | 0.191391 | − | 1.41956i | ||||
\(460\) | 4.02244 | − | 15.0119i | 0.187547 | − | 0.699935i | ||||
\(461\) | 16.6508 | − | 16.6508i | 0.775507 | − | 0.775507i | −0.203556 | − | 0.979063i | \(-0.565250\pi\) |
0.979063 | + | 0.203556i | \(0.0652501\pi\) | |||||||
\(462\) | 20.5443 | + | 4.41152i | 0.955808 | + | 0.205242i | ||||
\(463\) | 25.1246 | − | 25.1246i | 1.16764 | − | 1.16764i | 0.184875 | − | 0.982762i | \(-0.440812\pi\) |
0.982762 | − | 0.184875i | \(-0.0591880\pi\) | |||||||
\(464\) | 2.27891 | − | 1.31573i | 0.105796 | − | 0.0610813i | ||||
\(465\) | −25.2201 | + | 3.29364i | −1.16955 | + | 0.152739i | ||||
\(466\) | −0.866737 | − | 3.23471i | −0.0401508 | − | 0.149845i | ||||
\(467\) | 3.52969 | + | 6.11361i | 0.163335 | + | 0.282904i | 0.936063 | − | 0.351833i | \(-0.114442\pi\) |
−0.772728 | + | 0.634737i | \(0.781108\pi\) | |||||||
\(468\) | −7.80556 | + | 7.48820i | −0.360812 | + | 0.346142i | ||||
\(469\) | 27.1161 | + | 2.16251i | 1.25211 | + | 0.0998553i | ||||
\(470\) | 4.79593 | − | 4.79593i | 0.221220 | − | 0.221220i | ||||
\(471\) | −5.82057 | + | 14.0109i | −0.268198 | + | 0.645589i | ||||
\(472\) | 10.6591 | + | 6.15406i | 0.490627 | + | 0.283264i | ||||
\(473\) | −10.7696 | − | 40.1928i | −0.495188 | − | 1.84807i | ||||
\(474\) | −5.03911 | − | 12.2013i | −0.231454 | − | 0.560425i | ||||
\(475\) | 0.597442 | − | 0.597442i | 0.0274125 | − | 0.0274125i | ||||
\(476\) | −15.3670 | + | 2.83156i | −0.704347 | + | 0.129784i | ||||
\(477\) | −11.5835 | − | 3.12960i | −0.530372 | − | 0.143294i | ||||
\(478\) | 13.9659 | − | 8.06321i | 0.638785 | − | 0.368803i | ||||
\(479\) | 23.0930 | − | 6.18775i | 1.05515 | − | 0.282725i | 0.310769 | − | 0.950485i | \(-0.399413\pi\) |
0.744377 | + | 0.667760i | \(0.232747\pi\) | |||||||
\(480\) | 0.534364 | + | 4.09174i | 0.0243903 | + | 0.186761i | ||||
\(481\) | 4.70529 | − | 4.53279i | 0.214543 | − | 0.206677i | ||||
\(482\) | 0.170765i | 0.00777813i | ||||||||
\(483\) | −9.17857 | − | 28.4500i | −0.417640 | − | 1.29452i | ||||
\(484\) | 10.0253 | 0.455693 | ||||||||
\(485\) | −6.57378 | − | 11.3861i | −0.298500 | − | 0.517017i | ||||
\(486\) | −14.4326 | + | 5.89057i | −0.654678 | + | 0.267201i | ||||
\(487\) | −21.2854 | + | 5.70340i | −0.964532 | + | 0.258446i | −0.706518 | − | 0.707696i | \(-0.749735\pi\) |
−0.258014 | + | 0.966141i | \(0.583068\pi\) | |||||||
\(488\) | 1.54778 | − | 5.77639i | 0.0700647 | − | 0.261485i | ||||
\(489\) | 8.84332 | + | 1.17359i | 0.399909 | + | 0.0530717i | ||||
\(490\) | −5.94405 | − | 15.5817i | −0.268525 | − | 0.703910i | ||||
\(491\) | −14.7153 | −0.664093 | −0.332047 | − | 0.943263i | \(-0.607739\pi\) | ||||
−0.332047 | + | 0.943263i | \(0.607739\pi\) | |||||||
\(492\) | 4.41732 | − | 1.82434i | 0.199148 | − | 0.0822475i | ||||
\(493\) | 13.4592 | + | 7.77067i | 0.606172 | + | 0.349973i | ||||
\(494\) | 2.18013 | + | 3.94437i | 0.0980885 | + | 0.177466i | ||||
\(495\) | 31.6735 | − | 8.41640i | 1.42362 | − | 0.378289i | ||||
\(496\) | −4.35837 | − | 4.35837i | −0.195697 | − | 0.195697i | ||||
\(497\) | 28.4454 | − | 13.5314i | 1.27595 | − | 0.606968i | ||||
\(498\) | −18.9588 | + | 14.5163i | −0.849564 | + | 0.650493i | ||||
\(499\) | −7.60278 | + | 28.3740i | −0.340347 | + | 1.27019i | 0.557607 | + | 0.830105i | \(0.311719\pi\) |
−0.897955 | + | 0.440088i | \(0.854947\pi\) | |||||||
\(500\) | 2.66628 | + | 9.95070i | 0.119240 | + | 0.445009i | ||||
\(501\) | −23.5212 | − | 18.0873i | −1.05085 | − | 0.808080i | ||||
\(502\) | −1.92723 | − | 0.516399i | −0.0860164 | − | 0.0230480i | ||||
\(503\) | − | 14.9068i | − | 0.664661i | −0.943163 | − | 0.332330i | \(-0.892165\pi\) | ||
0.943163 | − | 0.332330i | \(-0.107835\pi\) | |||||||
\(504\) | 5.13598 | + | 6.05158i | 0.228775 | + | 0.269559i | ||||
\(505\) | 6.00133 | − | 6.00133i | 0.267056 | − | 0.267056i | ||||
\(506\) | −14.9560 | − | 25.9045i | −0.664874 | − | 1.15159i | ||||
\(507\) | 13.0117 | + | 18.3765i | 0.577872 | + | 0.816128i | ||||
\(508\) | 4.93318 | − | 8.54451i | 0.218874 | − | 0.379102i | ||||
\(509\) | −11.7733 | − | 3.15465i | −0.521842 | − | 0.139827i | −0.0117237 | − | 0.999931i | \(-0.503732\pi\) |
−0.510119 | + | 0.860104i | \(0.670399\pi\) | |||||||
\(510\) | −19.3501 | + | 14.8160i | −0.856838 | + | 0.656062i | ||||
\(511\) | 2.31703 | − | 29.0537i | 0.102499 | − | 1.28526i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | 0.827690 | + | 6.44199i | 0.0365434 | + | 0.284421i | ||||
\(514\) | 1.21206 | + | 4.52345i | 0.0534615 | + | 0.199521i | ||||
\(515\) | −17.0198 | + | 4.56045i | −0.749984 | + | 0.200958i | ||||
\(516\) | 6.03007 | − | 14.5152i | 0.265459 | − | 0.638996i | ||||
\(517\) | − | 13.0539i | − | 0.574108i | ||||||
\(518\) | −3.10981 | − | 3.64881i | −0.136637 | − | 0.160319i | ||||
\(519\) | 5.86558 | + | 7.66064i | 0.257470 | + | 0.336265i | ||||
\(520\) | 8.58846 | + | 0.160370i | 0.376629 | + | 0.00703269i | ||||
\(521\) | 15.6521 | + | 9.03674i | 0.685730 | + | 0.395907i | 0.802011 | − | 0.597310i | \(-0.203764\pi\) |
−0.116280 | + | 0.993216i | \(0.537097\pi\) | |||||||
\(522\) | 0.0164004 | − | 7.89437i | 0.000717828 | − | 0.345527i | ||||
\(523\) | 20.6715 | + | 35.8040i | 0.903900 | + | 1.56560i | 0.822387 | + | 0.568929i | \(0.192642\pi\) |
0.0815139 | + | 0.996672i | \(0.474025\pi\) | |||||||
\(524\) | 11.5882 | 0.506232 | ||||||||
\(525\) | −2.29765 | − | 2.07749i | −0.100278 | − | 0.0906690i | ||||
\(526\) | 6.51266 | + | 6.51266i | 0.283965 | + | 0.283965i | ||||
\(527\) | 9.42164 | − | 35.1620i | 0.410413 | − | 1.53168i | ||||
\(528\) | 6.29581 | + | 4.84134i | 0.273990 | + | 0.210692i | ||||
\(529\) | −9.77735 | + | 16.9349i | −0.425102 | + | 0.736298i | ||||
\(530\) | 4.76439 | + | 8.25216i | 0.206952 | + | 0.358451i | ||||
\(531\) | 32.0157 | − | 18.3957i | 1.38936 | − | 0.798306i | ||||
\(532\) | 2.98639 | − | 1.42062i | 0.129476 | − | 0.0615916i | ||||
\(533\) | −2.39506 | − | 9.65613i | −0.103742 | − | 0.418253i | ||||
\(534\) | 6.35989 | − | 15.3091i | 0.275220 | − | 0.662492i | ||||
\(535\) | 12.7311 | − | 3.41128i | 0.550412 | − | 0.147483i | ||||
\(536\) | 8.90402 | + | 5.14074i | 0.384595 | + | 0.222046i | ||||
\(537\) | 13.0373 | − | 31.3826i | 0.562601 | − | 1.35426i | ||||
\(538\) | −9.06464 | − | 9.06464i | −0.390805 | − | 0.390805i | ||||
\(539\) | −29.2951 | − | 13.1162i | −1.26183 | − | 0.564955i | ||||
\(540\) | 11.4223 | + | 4.77303i | 0.491538 | + | 0.205398i | ||||
\(541\) | 5.39985 | + | 1.44688i | 0.232158 | + | 0.0622064i | 0.373022 | − | 0.927822i | \(-0.378322\pi\) |
−0.140865 | + | 0.990029i | \(0.544988\pi\) | |||||||
\(542\) | −6.65409 | − | 3.84174i | −0.285818 | − | 0.165017i | ||||
\(543\) | −3.97800 | − | 30.4603i | −0.170712 | − | 1.30718i | ||||
\(544\) | −5.70473 | − | 1.52858i | −0.244588 | − | 0.0655372i | ||||
\(545\) | 41.7395 | 1.78793 | ||||||||
\(546\) | 14.0409 | − | 8.70945i | 0.600893 | − | 0.372730i | ||||
\(547\) | 17.8720 | 0.764151 | 0.382076 | − | 0.924131i | \(-0.375209\pi\) | ||||
0.382076 | + | 0.924131i | \(0.375209\pi\) | |||||||
\(548\) | −10.5912 | − | 2.83789i | −0.452432 | − | 0.121229i | ||||
\(549\) | −12.6595 | − | 12.7122i | −0.540292 | − | 0.542542i | ||||
\(550\) | −2.68422 | − | 1.54973i | −0.114455 | − | 0.0660809i | ||||
\(551\) | −3.17713 | − | 0.851309i | −0.135350 | − | 0.0362670i | ||||
\(552\) | 1.48643 | − | 11.2007i | 0.0632667 | − | 0.476731i | ||||
\(553\) | 3.65409 | + | 19.8309i | 0.155388 | + | 0.843297i | ||||
\(554\) | 20.4230 | + | 20.4230i | 0.867691 | + | 0.867691i | ||||
\(555\) | −6.90524 | − | 2.86865i | −0.293111 | − | 0.121767i | ||||
\(556\) | −11.8370 | − | 6.83410i | −0.502001 | − | 0.289831i | ||||
\(557\) | 26.3606 | − | 7.06329i | 1.11693 | − | 0.299281i | 0.347291 | − | 0.937757i | \(-0.387101\pi\) |
0.769642 | + | 0.638476i | \(0.220435\pi\) | |||||||
\(558\) | −17.8708 | + | 4.74871i | −0.756533 | + | 0.201029i | ||||
\(559\) | −28.0255 | − | 16.8859i | −1.18535 | − | 0.714197i | ||||
\(560\) | 0.501097 | − | 6.28336i | 0.0211752 | − | 0.265520i | ||||
\(561\) | −6.17068 | + | 46.4977i | −0.260526 | + | 1.96313i | ||||
\(562\) | −9.43745 | − | 16.3461i | −0.398095 | − | 0.689520i | ||||
\(563\) | −19.9093 | + | 34.4839i | −0.839077 | + | 1.45332i | 0.0515896 | + | 0.998668i | \(0.483571\pi\) |
−0.890667 | + | 0.454656i | \(0.849762\pi\) | |||||||
\(564\) | 3.00582 | − | 3.90885i | 0.126568 | − | 0.164592i | ||||
\(565\) | 5.87419 | − | 21.9228i | 0.247129 | − | 0.922299i | ||||
\(566\) | 17.4810 | + | 17.4810i | 0.734780 | + | 0.734780i | ||||
\(567\) | 23.4353 | − | 4.21762i | 0.984189 | − | 0.177124i | ||||
\(568\) | 11.9058 | 0.499558 | ||||||||
\(569\) | −4.97543 | − | 8.61769i | −0.208581 | − | 0.361273i | 0.742687 | − | 0.669639i | \(-0.233551\pi\) |
−0.951268 | + | 0.308366i | \(0.900218\pi\) | |||||||
\(570\) | 3.14419 | − | 4.08878i | 0.131695 | − | 0.171260i | ||||
\(571\) | 7.41972 | + | 4.28378i | 0.310506 | + | 0.179271i | 0.647153 | − | 0.762360i | \(-0.275960\pi\) |
−0.336647 | + | 0.941631i | \(0.609293\pi\) | |||||||
\(572\) | 11.9066 | − | 11.4701i | 0.497838 | − | 0.479587i | ||||
\(573\) | 16.2121 | − | 12.4133i | 0.677272 | − | 0.518572i | ||||
\(574\) | −7.17951 | + | 1.32291i | −0.299667 | + | 0.0552172i | ||||
\(575\) | 4.40951i | 0.183889i | ||||||||
\(576\) | 0.770435 | + | 2.89938i | 0.0321015 | + | 0.120808i | ||||
\(577\) | 15.8921 | − | 4.25827i | 0.661595 | − | 0.177274i | 0.0876294 | − | 0.996153i | \(-0.472071\pi\) |
0.573966 | + | 0.818879i | \(0.305404\pi\) | |||||||
\(578\) | −4.62781 | − | 17.2712i | −0.192491 | − | 0.718388i | ||||
\(579\) | 9.48560 | + | 22.9677i | 0.394208 | + | 0.954505i | ||||
\(580\) | −4.43304 | + | 4.43304i | −0.184072 | + | 0.184072i | ||||
\(581\) | 32.9375 | − | 15.6683i | 1.36648 | − | 0.650030i | ||||
\(582\) | −5.81093 | − | 7.58925i | −0.240871 | − | 0.314585i | ||||
\(583\) | 17.7146 | + | 4.74662i | 0.733665 | + | 0.196585i | ||||
\(584\) | 5.50807 | − | 9.54026i | 0.227926 | − | 0.394779i | ||||
\(585\) | 13.3452 | − | 22.0452i | 0.551755 | − | 0.911459i | ||||
\(586\) | 8.40817 | + | 14.5634i | 0.347338 | + | 0.601608i | ||||
\(587\) | 4.66629 | − | 4.66629i | 0.192598 | − | 0.192598i | −0.604220 | − | 0.796818i | \(-0.706515\pi\) |
0.796818 | + | 0.604220i | \(0.206515\pi\) | |||||||
\(588\) | −5.75195 | − | 10.6731i | −0.237206 | − | 0.440151i | ||||
\(589\) | 7.70430i | 0.317450i | ||||||||
\(590\) | −28.3240 | − | 7.58940i | −1.16608 | − | 0.312451i | ||||
\(591\) | 10.8786 | − | 14.1468i | 0.447486 | − | 0.581923i | ||||
\(592\) | −0.468993 | − | 1.75031i | −0.0192755 | − | 0.0719372i | ||||
\(593\) | 1.42643 | − | 5.32351i | 0.0585764 | − | 0.218610i | −0.930433 | − | 0.366462i | \(-0.880569\pi\) |
0.989010 | + | 0.147851i | \(0.0472358\pi\) | |||||||
\(594\) | 22.0407 | − | 9.04920i | 0.904342 | − | 0.371293i | ||||
\(595\) | 33.6173 | − | 15.9917i | 1.37818 | − | 0.655595i | ||||
\(596\) | −4.91586 | − | 4.91586i | −0.201361 | − | 0.201361i | ||||
\(597\) | 7.78162 | + | 3.23273i | 0.318481 | + | 0.132307i | ||||
\(598\) | −22.6014 | − | 6.51063i | −0.924239 | − | 0.266239i | ||||
\(599\) | −9.40210 | − | 5.42830i | −0.384159 | − | 0.221794i | 0.295467 | − | 0.955353i | \(-0.404525\pi\) |
−0.679626 | + | 0.733558i | \(0.737858\pi\) | |||||||
\(600\) | −0.446916 | − | 1.08213i | −0.0182453 | − | 0.0441777i | ||||
\(601\) | −26.6804 | −1.08832 | −0.544158 | − | 0.838983i | \(-0.683151\pi\) | ||||
−0.544158 | + | 0.838983i | \(0.683151\pi\) | |||||||
\(602\) | −13.6197 | + | 19.7727i | −0.555099 | + | 0.805875i | ||||
\(603\) | 26.7441 | − | 15.3667i | 1.08910 | − | 0.625780i | ||||
\(604\) | −0.402539 | + | 1.50230i | −0.0163791 | + | 0.0611276i | ||||
\(605\) | −23.0706 | + | 6.18174i | −0.937952 | + | 0.251324i | ||||
\(606\) | 3.76130 | − | 4.89130i | 0.152792 | − | 0.198695i | ||||
\(607\) | 12.6413 | + | 21.8954i | 0.513096 | + | 0.888709i | 0.999885 | + | 0.0151889i | \(0.00483495\pi\) |
−0.486788 | + | 0.873520i | \(0.661832\pi\) | |||||||
\(608\) | 1.24995 | 0.0506923 | ||||||||
\(609\) | −2.53171 | + | 11.7901i | −0.102590 | + | 0.477760i | ||||
\(610\) | 14.2473i | 0.576856i | ||||||||
\(611\) | −7.12137 | − | 7.39238i | −0.288100 | − | 0.299064i | ||||
\(612\) | −12.5545 | + | 12.5024i | −0.507484 | + | 0.505379i | ||||
\(613\) | −3.73761 | + | 1.00149i | −0.150961 | + | 0.0404498i | −0.333508 | − | 0.942747i | \(-0.608232\pi\) |
0.182547 | + | 0.983197i | \(0.441566\pi\) | |||||||
\(614\) | −24.0777 | + | 13.9013i | −0.971698 | + | 0.561010i | ||||
\(615\) | −9.04041 | + | 6.92205i | −0.364545 | + | 0.279124i | ||||
\(616\) | −7.86926 | − | 9.23318i | −0.317061 | − | 0.372015i | ||||
\(617\) | −25.9937 | + | 25.9937i | −1.04647 | + | 1.04647i | −0.0476003 | + | 0.998866i | \(0.515157\pi\) |
−0.998866 | + | 0.0476003i | \(0.984843\pi\) | |||||||
\(618\) | −11.8401 | + | 4.88992i | −0.476278 | + | 0.196701i | ||||
\(619\) | −10.3156 | − | 38.4985i | −0.414620 | − | 1.54738i | −0.785595 | − | 0.618741i | \(-0.787643\pi\) |
0.370974 | − | 0.928643i | \(-0.379024\pi\) | |||||||
\(620\) | 12.7171 | + | 7.34224i | 0.510732 | + | 0.294871i | ||||
\(621\) | −26.8275 | − | 20.7186i | −1.07655 | − | 0.831410i | ||||
\(622\) | 6.50832 | − | 6.50832i | 0.260960 | − | 0.260960i | ||||
\(623\) | −14.3647 | + | 20.8542i | −0.575510 | + | 0.835506i | ||||
\(624\) | 6.20643 | − | 0.692954i | 0.248456 | − | 0.0277404i | ||||
\(625\) | −13.9614 | − | 24.1819i | −0.558457 | − | 0.967276i | ||||
\(626\) | −0.173796 | − | 0.648615i | −0.00694628 | − | 0.0259239i | ||||
\(627\) | −1.28553 | − | 9.84357i | −0.0513391 | − | 0.393114i | ||||
\(628\) | 7.58593 | − | 4.37974i | 0.302711 | − | 0.174771i | ||||
\(629\) | 7.56740 | − | 7.56740i | 0.301732 | − | 0.301732i | ||||
\(630\) | −15.5507 | − | 10.7593i | −0.619554 | − | 0.428659i | ||||
\(631\) | −10.6209 | + | 10.6209i | −0.422810 | + | 0.422810i | −0.886170 | − | 0.463360i | \(-0.846644\pi\) |
0.463360 | + | 0.886170i | \(0.346644\pi\) | |||||||
\(632\) | −1.97261 | + | 7.36187i | −0.0784661 | + | 0.292839i | ||||
\(633\) | −21.7120 | + | 2.83550i | −0.862974 | + | 0.112701i | ||||
\(634\) | 14.2284 | + | 8.21477i | 0.565082 | + | 0.326250i | ||||
\(635\) | −6.08376 | + | 22.7049i | −0.241427 | + | 0.901017i | ||||
\(636\) | 4.21150 | + | 5.50035i | 0.166997 | + | 0.218103i | ||||
\(637\) | −23.7451 | + | 8.55388i | −0.940816 | + | 0.338917i | ||||
\(638\) | 12.0661i | 0.477702i | ||||||||
\(639\) | 17.9230 | − | 30.8951i | 0.709022 | − | 1.22219i | ||||
\(640\) | 1.19121 | − | 2.06324i | 0.0470868 | − | 0.0815568i | ||||
\(641\) | −9.26467 | + | 16.0469i | −0.365932 | + | 0.633813i | −0.988925 | − | 0.148414i | \(-0.952583\pi\) |
0.622993 | + | 0.782227i | \(0.285917\pi\) | |||||||
\(642\) | 8.85655 | − | 3.65773i | 0.349540 | − | 0.144359i | ||||
\(643\) | 3.00300 | + | 3.00300i | 0.118427 | + | 0.118427i | 0.763837 | − | 0.645410i | \(-0.223313\pi\) |
−0.645410 | + | 0.763837i | \(0.723313\pi\) | |||||||
\(644\) | −5.77821 | + | 16.2633i | −0.227693 | + | 0.640864i | ||||
\(645\) | −4.92635 | + | 37.1213i | −0.193975 | + | 1.46165i | ||||
\(646\) | 3.69109 | + | 6.39316i | 0.145224 | + | 0.251536i | ||||
\(647\) | −12.8937 | + | 22.3326i | −0.506905 | + | 0.877984i | 0.493064 | + | 0.869993i | \(0.335877\pi\) |
−0.999968 | + | 0.00799108i | \(0.997456\pi\) | |||||||
\(648\) | 8.68358 | + | 2.36547i | 0.341123 | + | 0.0929245i | ||||
\(649\) | −48.8757 | + | 28.2184i | −1.91854 | + | 1.10767i | ||||
\(650\) | −2.36550 | + | 0.586729i | −0.0927827 | + | 0.0230134i | ||||
\(651\) | 28.2098 | − | 1.41957i | 1.10563 | − | 0.0556374i | ||||
\(652\) | −3.64192 | − | 3.64192i | −0.142629 | − | 0.142629i | ||||
\(653\) | −9.02412 | + | 5.21008i | −0.353141 | + | 0.203886i | −0.666068 | − | 0.745891i | \(-0.732024\pi\) |
0.312927 | + | 0.949777i | \(0.398691\pi\) | |||||||
\(654\) | 30.0896 | − | 3.92958i | 1.17660 | − | 0.153659i | ||||
\(655\) | −26.6673 | + | 7.14547i | −1.04198 | + | 0.279197i | ||||
\(656\) | −2.66526 | − | 0.714154i | −0.104061 | − | 0.0278830i | ||||
\(657\) | −16.4647 | − | 28.6550i | −0.642350 | − | 1.11794i | ||||
\(658\) | −5.73257 | + | 4.88576i | −0.223479 | + | 0.190467i | ||||
\(659\) | − | 4.15768i | − | 0.161960i | −0.996716 | − | 0.0809801i | \(-0.974195\pi\) | ||
0.996716 | − | 0.0809801i | \(-0.0258050\pi\) | |||||||
\(660\) | −17.4735 | − | 7.25902i | −0.680153 | − | 0.282557i | ||||
\(661\) | 4.26508 | + | 15.9175i | 0.165892 | + | 0.619119i | 0.997925 | + | 0.0643916i | \(0.0205107\pi\) |
−0.832032 | + | 0.554727i | \(0.812823\pi\) | |||||||
\(662\) | −10.5412 | + | 18.2578i | −0.409694 | + | 0.709610i | ||||
\(663\) | 21.8718 | + | 29.6979i | 0.849429 | + | 1.15337i | ||||
\(664\) | 13.7860 | 0.535000 | ||||||||
\(665\) | −5.99644 | + | 5.11065i | −0.232532 | + | 0.198183i | ||||
\(666\) | −5.24799 | − | 1.41789i | −0.203355 | − | 0.0549420i | ||||
\(667\) | 14.8663 | − | 8.58304i | 0.575624 | − | 0.332337i | ||||
\(668\) | 4.43378 | + | 16.5471i | 0.171548 | + | 0.640226i | ||||
\(669\) | −34.0695 | − | 26.1987i | −1.31720 | − | 1.01290i | ||||
\(670\) | −23.6602 | − | 6.33974i | −0.914074 | − | 0.244925i | ||||
\(671\) | 19.3896 | + | 19.3896i | 0.748527 | + | 0.748527i | ||||
\(672\) | −0.230313 | − | 4.57678i | −0.00888451 | − | 0.176553i | ||||
\(673\) | 38.1500i | 1.47057i | 0.677756 | + | 0.735287i | \(0.262953\pi\) | ||||
−0.677756 | + | 0.735287i | \(0.737047\pi\) | |||||||
\(674\) | 3.76857 | − | 14.0645i | 0.145160 | − | 0.541744i | ||||
\(675\) | −3.48086 | − | 0.469304i | −0.133978 | − | 0.0180635i | ||||
\(676\) | 0.485322 | − | 12.9909i | 0.0186662 | − | 0.499651i | ||||
\(677\) | 5.93487 | − | 3.42650i | 0.228095 | − | 0.131691i | −0.381598 | − | 0.924329i | \(-0.624626\pi\) |
0.609693 | + | 0.792638i | \(0.291293\pi\) | |||||||
\(678\) | 2.17072 | − | 16.3569i | 0.0833660 | − | 0.628185i | ||||
\(679\) | 6.27205 | + | 13.1850i | 0.240699 | + | 0.505992i | ||||
\(680\) | 14.0705 | 0.539580 | ||||||||
\(681\) | 1.75328 | + | 4.24526i | 0.0671858 | + | 0.162679i | ||||
\(682\) | 27.2994 | − | 7.31486i | 1.04535 | − | 0.280100i | ||||
\(683\) | 37.9107 | − | 10.1582i | 1.45061 | − | 0.388691i | 0.554377 | − | 0.832266i | \(-0.312957\pi\) |
0.896237 | + | 0.443575i | \(0.146290\pi\) | |||||||
\(684\) | 1.88167 | − | 3.24357i | 0.0719476 | − | 0.124021i | ||||
\(685\) | 26.1228 | 0.998099 | ||||||||
\(686\) | 5.20452 | + | 17.7739i | 0.198710 | + | 0.678612i | ||||
\(687\) | −50.0893 | − | 6.64732i | −1.91103 | − | 0.253611i | ||||
\(688\) | −7.85896 | + | 4.53737i | −0.299620 | + | 0.172986i | ||||
\(689\) | 12.6212 | − | 6.97598i | 0.480830 | − | 0.265764i | ||||
\(690\) | 3.48587 | + | 26.6920i | 0.132705 | + | 1.01615i | ||||
\(691\) | 9.21173 | − | 34.3787i | 0.350431 | − | 1.30783i | −0.535707 | − | 0.844404i | \(-0.679955\pi\) |
0.886138 | − | 0.463422i | \(-0.153379\pi\) | |||||||
\(692\) | − | 5.57047i | − | 0.211758i | ||||||
\(693\) | −35.8060 | + | 6.52080i | −1.36016 | + | 0.247705i | ||||
\(694\) | 13.7153 | + | 13.7153i | 0.520624 | + | 0.520624i | ||||
\(695\) | 31.4539 | + | 8.42805i | 1.19312 | + | 0.319694i | ||||
\(696\) | −2.77838 | + | 3.61308i | −0.105314 | + | 0.136954i | ||||
\(697\) | −4.21777 | − | 15.7409i | −0.159760 | − | 0.596231i | ||||
\(698\) | 13.0744 | − | 7.54849i | 0.494872 | − | 0.285715i | ||||
\(699\) | 3.52623 | + | 4.60537i | 0.133374 | + | 0.174191i | ||||
\(700\) | 0.324079 | + | 1.75880i | 0.0122490 | + | 0.0664762i | ||||
\(701\) | 39.9380 | 1.50844 | 0.754219 | − | 0.656623i | \(-0.228016\pi\) | ||||
0.754219 | + | 0.656623i | \(0.228016\pi\) | |||||||
\(702\) | 7.54495 | − | 17.1486i | 0.284766 | − | 0.647231i | ||||
\(703\) | −1.13249 | + | 1.96153i | −0.0427127 | + | 0.0739805i | ||||
\(704\) | −1.18677 | − | 4.42909i | −0.0447281 | − | 0.166928i | ||||
\(705\) | −4.50688 | + | 10.8487i | −0.169739 | + | 0.408585i | ||||
\(706\) | − | 16.1404i | − | 0.607451i | ||||||
\(707\) | −7.17338 | + | 6.11373i | −0.269783 | + | 0.229931i | ||||
\(708\) | −21.1330 | − | 2.80455i | −0.794227 | − | 0.105401i | ||||
\(709\) | 7.29558 | + | 1.95485i | 0.273991 | + | 0.0734157i | 0.393198 | − | 0.919454i | \(-0.371369\pi\) |
−0.119207 | + | 0.992869i | \(0.538035\pi\) | |||||||
\(710\) | −27.3983 | + | 7.34135i | −1.02824 | + | 0.275516i | ||||
\(711\) | 16.1342 | + | 16.2013i | 0.605079 | + | 0.607598i | ||||
\(712\) | −8.28882 | + | 4.78555i | −0.310637 | + | 0.179346i | ||||
\(713\) | −28.4314 | − | 28.4314i | −1.06476 | − | 1.06476i | ||||
\(714\) | 22.7289 | − | 14.6932i | 0.850606 | − | 0.549878i | ||||
\(715\) | −20.3273 | + | 33.7372i | −0.760198 | + | 1.26170i | ||||
\(716\) | −16.9915 | + | 9.81003i | −0.635001 | + | 0.366618i | ||||
\(717\) | −17.0268 | + | 22.1421i | −0.635877 | + | 0.826911i | ||||
\(718\) | 14.6478 | − | 25.3707i | 0.546651 | − | 0.946827i | ||||
\(719\) | −7.00483 | − | 12.1327i | −0.261236 | − | 0.452474i | 0.705334 | − | 0.708875i | \(-0.250797\pi\) |
−0.966571 | + | 0.256400i | \(0.917464\pi\) | |||||||
\(720\) | −3.56077 | − | 6.19713i | −0.132702 | − | 0.230954i | ||||
\(721\) | 19.2438 | − | 3.54590i | 0.716677 | − | 0.132056i | ||||
\(722\) | 12.3303 | + | 12.3303i | 0.458885 | + | 0.458885i | ||||
\(723\) | −0.112904 | − | 0.273377i | −0.00419894 | − | 0.0101670i | ||||
\(724\) | −8.86781 | + | 15.3595i | −0.329570 | + | 0.570831i | ||||
\(725\) | 0.889373 | − | 1.54044i | 0.0330305 | − | 0.0572105i | ||||
\(726\) | −16.0494 | + | 6.62834i | −0.595648 | + | 0.246001i | ||||
\(727\) | 12.8052i | 0.474920i | 0.971397 | + | 0.237460i | \(0.0763148\pi\) | ||||
−0.971397 | + | 0.237460i | \(0.923685\pi\) | |||||||
\(728\) | −9.49339 | − | 0.935757i | −0.351848 | − | 0.0346815i | ||||
\(729\) | 19.2105 | − | 18.9725i | 0.711500 | − | 0.702686i | ||||
\(730\) | −6.79274 | + | 25.3509i | −0.251411 | + | 0.938277i | ||||
\(731\) | −46.4148 | − | 26.7976i | −1.71671 | − | 0.991144i | ||||
\(732\) | 1.34131 | + | 10.2707i | 0.0495764 | + | 0.379617i | ||||
\(733\) | 1.69855 | − | 6.33907i | 0.0627374 | − | 0.234139i | −0.927437 | − | 0.373981i | \(-0.877993\pi\) |
0.990174 | + | 0.139842i | \(0.0446593\pi\) | |||||||
\(734\) | −7.09434 | + | 7.09434i | −0.261857 | + | 0.261857i | ||||
\(735\) | 19.8179 | + | 21.0147i | 0.730993 | + | 0.775138i | ||||
\(736\) | −4.61274 | + | 4.61274i | −0.170028 | + | 0.170028i | ||||
\(737\) | −40.8279 | + | 23.5720i | −1.50391 | + | 0.868285i | ||||
\(738\) | −5.86547 | + | 5.84115i | −0.215911 | + | 0.215016i | ||||
\(739\) | 6.90336 | + | 25.7637i | 0.253944 | + | 0.947733i | 0.968675 | + | 0.248333i | \(0.0798826\pi\) |
−0.714731 | + | 0.699400i | \(0.753451\pi\) | |||||||
\(740\) | 2.15854 | + | 3.73870i | 0.0793495 | + | 0.137437i | ||||
\(741\) | −6.09803 | − | 4.87309i | −0.224017 | − | 0.179018i | ||||
\(742\) | −4.54571 | − | 9.55587i | −0.166878 | − | 0.350807i | ||||
\(743\) | 26.6794 | − | 26.6794i | 0.978774 | − | 0.978774i | −0.0210054 | − | 0.999779i | \(-0.506687\pi\) |
0.999779 | + | 0.0210054i | \(0.00668672\pi\) | |||||||
\(744\) | 9.85889 | + | 4.09569i | 0.361444 | + | 0.150155i | ||||
\(745\) | 14.3438 | + | 8.28140i | 0.525517 | + | 0.303407i | ||||
\(746\) | −1.51096 | − | 5.63897i | −0.0553201 | − | 0.206458i | ||||
\(747\) | 20.7533 | − | 35.7740i | 0.759325 | − | 1.30890i | ||||
\(748\) | 19.1490 | − | 19.1490i | 0.700158 | − | 0.700158i | ||||
\(749\) | −14.3946 | + | 2.65238i | −0.525968 | + | 0.0969159i | ||||
\(750\) | −10.8475 | − | 14.1672i | −0.396094 | − | 0.517312i | ||||
\(751\) | −30.1950 | + | 17.4331i | −1.10183 | + | 0.636143i | −0.936702 | − | 0.350129i | \(-0.886138\pi\) |
−0.165130 | + | 0.986272i | \(0.552804\pi\) | |||||||
\(752\) | −2.74987 | + | 0.736826i | −0.100277 | + | 0.0268693i | ||||
\(753\) | 3.42671 | − | 0.447514i | 0.124876 | − | 0.0163083i | ||||
\(754\) | 6.58252 | + | 6.83302i | 0.239721 | + | 0.248844i | ||||
\(755\) | − | 3.70537i | − | 0.134852i | ||||||
\(756\) | −12.2233 | − | 6.29221i | −0.444556 | − | 0.228846i | ||||
\(757\) | −5.50127 | −0.199947 | −0.0999736 | − | 0.994990i | \(-0.531876\pi\) | ||||
−0.0999736 | + | 0.994990i | \(0.531876\pi\) | |||||||
\(758\) | −2.63036 | − | 4.55592i | −0.0955391 | − | 0.165479i | ||||
\(759\) | 41.0700 | + | 31.5820i | 1.49075 | + | 1.14635i | ||||
\(760\) | −2.87645 | + | 0.770743i | −0.104340 | + | 0.0279578i | ||||
\(761\) | 1.61189 | − | 6.01567i | 0.0584311 | − | 0.218068i | −0.930537 | − | 0.366199i | \(-0.880659\pi\) |
0.988968 | + | 0.148131i | \(0.0473257\pi\) | |||||||
\(762\) | −2.24816 | + | 16.9405i | −0.0814424 | + | 0.613690i | ||||
\(763\) | −46.2062 | − | 3.68494i | −1.67278 | − | 0.133404i | ||||
\(764\) | −11.7887 | −0.426501 | ||||||||
\(765\) | 21.1817 | − | 36.5124i | 0.765826 | − | 1.32011i | ||||
\(766\) | 17.5374 | + | 10.1252i | 0.633653 | + | 0.365840i | ||||
\(767\) | −12.2840 | + | 42.6435i | −0.443551 | + | 1.53977i | ||||
\(768\) | 0.664489 | − | 1.59952i | 0.0239777 | − | 0.0577176i | ||||
\(769\) | 25.1323 | + | 25.1323i | 0.906294 | + | 0.906294i | 0.995971 | − | 0.0896769i | \(-0.0285834\pi\) |
−0.0896769 | + | 0.995971i | \(0.528583\pi\) | |||||||
\(770\) | 23.8024 | + | 16.3955i | 0.857780 | + | 0.590853i | ||||
\(771\) | −4.93112 | − | 6.44020i | −0.177590 | − | 0.231938i | ||||
\(772\) | 3.71322 | − | 13.8579i | 0.133642 | − | 0.498758i | ||||
\(773\) | 1.54943 | + | 5.78255i | 0.0557291 | + | 0.207984i | 0.988176 | − | 0.153323i | \(-0.0489974\pi\) |
−0.932447 | + | 0.361307i | \(0.882331\pi\) | |||||||
\(774\) | −0.0565578 | + | 27.2242i | −0.00203293 | + | 0.978552i | ||||
\(775\) | −4.02438 | − | 1.07833i | −0.144560 | − | 0.0387348i | ||||
\(776\) | 5.51856i | 0.198105i | ||||||||
\(777\) | 7.39094 | + | 3.78526i | 0.265148 | + | 0.135795i | ||||
\(778\) | −23.8124 | + | 23.8124i | −0.853716 | + | 0.853716i | ||||
\(779\) | 1.72449 | + | 2.98690i | 0.0617861 | + | 0.107017i | ||||
\(780\) | −13.8552 | + | 5.42165i | −0.496097 | + | 0.194126i | ||||
\(781\) | −27.2961 | + | 47.2782i | −0.976731 | + | 1.69175i | ||||
\(782\) | −37.2142 | − | 9.97151i | −1.33078 | − | 0.356581i | ||||
\(783\) | 5.19322 | + | 12.6489i | 0.185591 | + | 0.452035i | ||||
\(784\) | −1.10944 | + | 6.91152i | −0.0396229 | + | 0.246840i | ||||
\(785\) | −14.7565 | + | 14.7565i | −0.526681 | + | 0.526681i | ||||
\(786\) | −18.5514 | + | 7.66169i | −0.661708 | + | 0.273284i | ||||
\(787\) | −9.94477 | − | 37.1144i | −0.354493 | − | 1.32298i | −0.881122 | − | 0.472890i | \(-0.843211\pi\) |
0.526629 | − | 0.850095i | \(-0.323456\pi\) | |||||||
\(788\) | −9.95228 | + | 2.66670i | −0.354535 | + | 0.0949974i | ||||
\(789\) | −14.7320 | − | 6.12014i | −0.524474 | − | 0.217883i | ||||
\(790\) | − | 18.1578i | − | 0.646026i | ||||||
\(791\) | −8.43825 | + | 23.7502i | −0.300029 | + | 0.844461i | ||||
\(792\) | −13.2798 | − | 3.58791i | −0.471879 | − | 0.127491i | ||||
\(793\) | 21.5580 | + | 0.402547i | 0.765548 | + | 0.0142949i | ||||
\(794\) | −16.3715 | − | 9.45210i | −0.581003 | − | 0.335442i | ||||
\(795\) | −13.0833 | − | 10.0608i | −0.464017 | − | 0.356819i | ||||
\(796\) | −2.43249 | − | 4.21320i | −0.0862173 | − | 0.149333i | ||||
\(797\) | 31.7658 | 1.12520 | 0.562600 | − | 0.826729i | \(-0.309801\pi\) | ||||
0.562600 | + | 0.826729i | \(0.309801\pi\) | |||||||
\(798\) | −3.84163 | + | 4.24876i | −0.135992 | + | 0.150404i | ||||
\(799\) | −11.8890 | − | 11.8890i | −0.420602 | − | 0.420602i | ||||
\(800\) | −0.174950 | + | 0.652921i | −0.00618540 | + | 0.0230842i | ||||
\(801\) | −0.0596513 | + | 28.7133i | −0.00210768 | + | 1.01453i | ||||
\(802\) | 1.94727 | − | 3.37277i | 0.0687604 | − | 0.119097i | ||||
\(803\) | 25.2563 | + | 43.7452i | 0.891276 | + | 1.54374i | ||||
\(804\) | −17.6533 | − | 2.34276i | −0.622583 | − | 0.0826226i | ||||
\(805\) | 3.26885 | − | 40.9888i | 0.115212 | − | 1.44467i | ||||
\(806\) | 11.4691 | − | 19.0352i | 0.403981 | − | 0.670488i | ||||
\(807\) | 20.5048 | + | 8.51831i | 0.721802 | + | 0.299859i | ||||
\(808\) | −3.44102 | + | 0.922018i | −0.121055 | + | 0.0324365i | ||||
\(809\) | −1.34055 | − | 0.773968i | −0.0471313 | − | 0.0272113i | 0.476249 | − | 0.879310i | \(-0.341996\pi\) |
−0.523380 | + | 0.852099i | \(0.675329\pi\) | |||||||
\(810\) | −21.4416 | − | 0.0890898i | −0.753383 | − | 0.00313030i | ||||
\(811\) | −29.9875 | − | 29.9875i | −1.05300 | − | 1.05300i | −0.998514 | − | 0.0544876i | \(-0.982647\pi\) |
−0.0544876 | − | 0.998514i | \(-0.517353\pi\) | |||||||
\(812\) | 5.29880 | − | 4.51607i | 0.185952 | − | 0.158483i | ||||
\(813\) | 13.1925 | + | 1.75077i | 0.462682 | + | 0.0614022i | ||||
\(814\) | 8.02574 | + | 2.15049i | 0.281302 | + | 0.0753746i | ||||
\(815\) | 10.6266 | + | 6.13529i | 0.372235 | + | 0.214910i | ||||
\(816\) | 10.1433 | − | 1.32467i | 0.355087 | − | 0.0463729i | ||||
\(817\) | 10.9565 | + | 2.93579i | 0.383319 | + | 0.102710i | ||||
\(818\) | −25.5370 | −0.892882 | ||||||||
\(819\) | −16.7195 | + | 23.2262i | −0.584228 | + | 0.811590i | ||||
\(820\) | 6.57378 | 0.229566 | ||||||||
\(821\) | −43.4028 | − | 11.6297i | −1.51477 | − | 0.405881i | −0.596752 | − | 0.802425i | \(-0.703543\pi\) |
−0.918015 | + | 0.396545i | \(0.870209\pi\) | |||||||
\(822\) | 18.8316 | − | 2.45933i | 0.656829 | − | 0.0857791i | ||||
\(823\) | −1.76125 | − | 1.01686i | −0.0613932 | − | 0.0354454i | 0.468989 | − | 0.883204i | \(-0.344618\pi\) |
−0.530382 | + | 0.847759i | \(0.677952\pi\) | |||||||
\(824\) | 7.14391 | + | 1.91421i | 0.248870 | + | 0.0666845i | ||||
\(825\) | 5.32178 | + | 0.706250i | 0.185281 | + | 0.0245885i | ||||
\(826\) | 30.6850 | + | 10.9021i | 1.06767 | + | 0.379333i | ||||
\(827\) | −24.9181 | − | 24.9181i | −0.866489 | − | 0.866489i | 0.125593 | − | 0.992082i | \(-0.459917\pi\) |
−0.992082 | + | 0.125593i | \(0.959917\pi\) | |||||||
\(828\) | 5.02585 | + | 18.9138i | 0.174661 | + | 0.657301i | ||||
\(829\) | 18.5382 | + | 10.7031i | 0.643860 | + | 0.371733i | 0.786100 | − | 0.618099i | \(-0.212097\pi\) |
−0.142240 | + | 0.989832i | \(0.545430\pi\) | |||||||
\(830\) | −31.7250 | + | 8.50068i | −1.10119 | + | 0.295063i | ||||
\(831\) | −46.1981 | − | 19.1921i | −1.60259 | − | 0.665767i | ||||
\(832\) | −3.08830 | − | 1.86076i | −0.107067 | − | 0.0645101i | ||||
\(833\) | −38.6267 | + | 14.7351i | −1.33833 | + | 0.510542i | ||||
\(834\) | 23.4683 | + | 3.11446i | 0.812640 | + | 0.107845i | ||||
\(835\) | −20.4064 | − | 35.3450i | −0.706194 | − | 1.22316i | ||||
\(836\) | −2.86572 | + | 4.96358i | −0.0991132 | + | 0.171669i | ||||
\(837\) | 25.4696 | − | 19.4177i | 0.880359 | − | 0.671175i | ||||
\(838\) | −1.84394 | + | 6.88169i | −0.0636979 | + | 0.237724i | ||||
\(839\) | −34.7854 | − | 34.7854i | −1.20092 | − | 1.20092i | −0.973886 | − | 0.227039i | \(-0.927096\pi\) |
−0.227039 | − | 0.973886i | \(-0.572904\pi\) | |||||||
\(840\) | 3.35213 | + | 10.3903i | 0.115659 | + | 0.358499i | ||||
\(841\) | 22.0754 | 0.761221 | ||||||||
\(842\) | 15.8342 | + | 27.4257i | 0.545684 | + | 0.945152i | ||||
\(843\) | 25.9158 | + | 19.9287i | 0.892589 | + | 0.686382i | ||||
\(844\) | 10.9482 | + | 6.32094i | 0.376852 | + | 0.217576i | ||||
\(845\) | 6.89359 | + | 30.1946i | 0.237147 | + | 1.03873i | ||||
\(846\) | −2.22761 | + | 8.24500i | −0.0765868 | + | 0.283469i | ||||
\(847\) | 26.0852 | − | 4.80651i | 0.896298 | − | 0.165154i | ||||
\(848\) | − | 3.99961i | − | 0.137347i | ||||||
\(849\) | −39.5430 | − | 16.4274i | −1.35711 | − | 0.563786i | ||||
\(850\) | −3.85613 | + | 1.03325i | −0.132264 | + | 0.0354401i | ||||
\(851\) | −3.05943 | − | 11.4179i | −0.104876 | − | 0.391402i | ||||
\(852\) | −19.0600 | + | 7.87172i | −0.652984 | + | 0.269681i | ||||
\(853\) | −14.6626 | + | 14.6626i | −0.502039 | + | 0.502039i | −0.912071 | − | 0.410032i | \(-0.865517\pi\) |
0.410032 | + | 0.912071i | \(0.365517\pi\) | |||||||
\(854\) | 1.25781 | − | 15.7719i | 0.0430414 | − | 0.539705i | ||||
\(855\) | −2.33015 | + | 8.62453i | −0.0796895 | + | 0.294953i | ||||
\(856\) | −5.34374 | − | 1.43185i | −0.182645 | − | 0.0489397i | ||||
\(857\) | −12.2174 | + | 21.1612i | −0.417339 | + | 0.722853i | −0.995671 | − | 0.0929492i | \(-0.970371\pi\) |
0.578332 | + | 0.815802i | \(0.303704\pi\) | |||||||
\(858\) | −11.4775 | + | 26.2345i | −0.391837 | + | 0.895632i | ||||
\(859\) | −7.09489 | − | 12.2887i | −0.242075 | − | 0.419286i | 0.719230 | − | 0.694772i | \(-0.244495\pi\) |
−0.961305 | + | 0.275486i | \(0.911161\pi\) | |||||||
\(860\) | 15.2876 | − | 15.2876i | 0.521302 | − | 0.521302i | ||||
\(861\) | 10.6190 | − | 6.86467i | 0.361893 | − | 0.233947i | ||||
\(862\) | 14.0659i | 0.479087i | ||||||||
\(863\) | −4.93283 | − | 1.32175i | −0.167915 | − | 0.0449928i | 0.173882 | − | 0.984767i | \(-0.444369\pi\) |
−0.341797 | + | 0.939774i | \(0.611036\pi\) | |||||||
\(864\) | −3.15036 | − | 4.13222i | −0.107177 | − | 0.140581i | ||||
\(865\) | 3.43485 | + | 12.8190i | 0.116788 | + | 0.435860i | ||||
\(866\) | 4.19683 | − | 15.6628i | 0.142614 | − | 0.532243i | ||||
\(867\) | 18.8277 | + | 24.5896i | 0.639423 | + | 0.835108i | ||||
\(868\) | −13.4298 | − | 9.25068i | −0.455838 | − | 0.313988i | ||||
\(869\) | −24.7115 | − | 24.7115i | −0.838282 | − | 0.838282i | ||||
\(870\) | 4.16586 | − | 10.0278i | 0.141236 | − | 0.339974i | ||||
\(871\) | −10.2614 | + | 35.6219i | −0.347693 | + | 1.20700i | ||||
\(872\) | −15.1726 | − | 8.75988i | −0.513808 | − | 0.296647i | ||||
\(873\) | 14.3204 | + | 8.30761i | 0.484673 | + | 0.281170i | ||||
\(874\) | 8.15394 | 0.275811 | ||||||||
\(875\) | 11.7083 | + | 24.6129i | 0.395812 | + | 0.832067i | ||||
\(876\) | −2.51016 | + | 18.9147i | −0.0848103 | + | 0.639068i | ||||
\(877\) | −6.54457 | + | 24.4247i | −0.220994 | + | 0.824762i | 0.762976 | + | 0.646427i | \(0.223738\pi\) |
−0.983970 | + | 0.178335i | \(0.942929\pi\) | |||||||
\(878\) | −30.0485 | + | 8.05147i | −1.01409 | + | 0.271724i | ||||
\(879\) | −23.0894 | − | 17.7552i | −0.778786 | − | 0.598869i | ||||
\(880\) | 5.46210 | + | 9.46064i | 0.184128 | + | 0.318918i | ||||
\(881\) | 57.8655 | 1.94954 | 0.974769 | − | 0.223216i | \(-0.0716554\pi\) | ||||
0.974769 | + | 0.223216i | \(0.0716554\pi\) | |||||||
\(882\) | 16.2649 | + | 13.2835i | 0.547669 | + | 0.447279i | ||||
\(883\) | − | 20.3204i | − | 0.683835i | −0.939730 | − | 0.341918i | \(-0.888924\pi\) | ||
0.939730 | − | 0.341918i | \(-0.111076\pi\) | |||||||
\(884\) | 0.397553 | − | 21.2906i | 0.0133712 | − | 0.716079i | ||||
\(885\) | 50.3616 | − | 6.57702i | 1.69289 | − | 0.221084i | ||||
\(886\) | −36.5137 | + | 9.78383i | −1.22670 | + | 0.328694i | ||||
\(887\) | 5.53757 | − | 3.19712i | 0.185934 | − | 0.107349i | −0.404144 | − | 0.914695i | \(-0.632431\pi\) |
0.590077 | + | 0.807347i | \(0.299097\pi\) | |||||||
\(888\) | 1.90805 | + | 2.49197i | 0.0640300 | + | 0.0836252i | ||||
\(889\) | 8.73929 | − | 24.5976i | 0.293106 | − | 0.824975i | ||||
\(890\) | 16.1238 | − | 16.1238i | 0.540470 | − | 0.540470i | ||||
\(891\) | −29.3019 | + | 29.0594i | −0.981649 | + | 0.973525i | ||||
\(892\) | 6.42216 | + | 23.9678i | 0.215030 | + | 0.802503i | ||||
\(893\) | 3.08172 | + | 1.77923i | 0.103126 | + | 0.0595397i | ||||
\(894\) | 11.1200 | + | 4.61958i | 0.371907 | + | 0.154502i | ||||
\(895\) | 33.0525 | − | 33.0525i | 1.10482 | − | 1.10482i | ||||
\(896\) | −1.50084 | + | 2.17887i | −0.0501396 | + | 0.0727910i | ||||
\(897\) | 40.4870 | − | 4.52041i | 1.35182 | − | 0.150932i | ||||
\(898\) | −9.51518 | − | 16.4808i | −0.317526 | − | 0.549971i | ||||
\(899\) | 4.19790 | + | 15.6668i | 0.140008 | + | 0.522517i | ||||
\(900\) | 1.43093 | + | 1.43689i | 0.0476977 | + | 0.0478963i | ||||
\(901\) | 20.4569 | − | 11.8108i | 0.681517 | − | 0.393474i | ||||
\(902\) | 8.94647 | − | 8.94647i | 0.297885 | − | 0.297885i | ||||
\(903\) | 8.73075 | − | 40.6589i | 0.290541 | − | 1.35304i | ||||
\(904\) | −6.73624 | + | 6.73624i | −0.224044 | + | 0.224044i | ||||
\(905\) | 10.9361 | − | 40.8140i | 0.363528 | − | 1.35670i | ||||
\(906\) | −0.348843 | − | 2.67116i | −0.0115895 | − | 0.0887434i | ||||
\(907\) | −47.6189 | − | 27.4928i | −1.58116 | − | 0.912884i | −0.994690 | − | 0.102914i | \(-0.967184\pi\) |
−0.586471 | − | 0.809970i | \(-0.699483\pi\) | |||||||
\(908\) | 0.686338 | − | 2.56145i | 0.0227769 | − | 0.0850046i | ||||
\(909\) | −2.78749 | + | 10.3173i | −0.0924553 | + | 0.342203i | ||||
\(910\) | 22.4236 | − | 3.70038i | 0.743336 | − | 0.122666i | ||||
\(911\) | − | 10.5129i | − | 0.348308i | −0.984718 | − | 0.174154i | \(-0.944281\pi\) | ||
0.984718 | − | 0.174154i | \(-0.0557190\pi\) | |||||||
\(912\) | −2.00104 | + | 0.826425i | −0.0662612 | + | 0.0273657i | ||||
\(913\) | −31.6066 | + | 54.7443i | −1.04603 | + | 1.81177i | ||||
\(914\) | 19.6250 | − | 33.9914i | 0.649136 | − | 1.12434i | ||||
\(915\) | −9.41980 | − | 22.8084i | −0.311409 | − | 0.754022i | ||||
\(916\) | 20.6282 | + | 20.6282i | 0.681573 | + | 0.681573i | ||||
\(917\) | 30.1518 | − | 5.55584i | 0.995702 | − | 0.183470i | ||||
\(918\) | 11.8322 | − | 28.3156i | 0.390521 | − | 0.934553i | ||||
\(919\) | 14.7316 | + | 25.5159i | 0.485952 | + | 0.841693i | 0.999870 | − | 0.0161463i | \(-0.00513974\pi\) |
−0.513918 | + | 0.857839i | \(0.671806\pi\) | |||||||
\(920\) | 7.77075 | − | 13.4593i | 0.256194 | − | 0.443741i | ||||
\(921\) | 29.3548 | − | 38.1738i | 0.967275 | − | 1.25787i | ||||
\(922\) | 20.3930 | − | 11.7739i | 0.671609 | − | 0.387753i | ||||
\(923\) | 10.3343 | + | 41.6646i | 0.340158 | + | 1.37141i | ||||
\(924\) | 18.7025 | + | 9.57846i | 0.615267 | + | 0.315108i | ||||
\(925\) | −0.866108 | − | 0.866108i | −0.0284775 | − | 0.0284775i | ||||
\(926\) | 30.7712 | − | 17.7657i | 1.01120 | − | 0.583819i | ||||
\(927\) | 15.7217 | − | 15.6565i | 0.516368 | − | 0.514227i | ||||
\(928\) | 2.54180 | − | 0.681073i | 0.0834386 | − | 0.0223573i | ||||
\(929\) | −1.97456 | − | 0.529082i | −0.0647833 | − | 0.0173586i | 0.226282 | − | 0.974062i | \(-0.427343\pi\) |
−0.291065 | + | 0.956703i | \(0.594010\pi\) | |||||||
\(930\) | −25.2132 | − | 3.34603i | −0.826773 | − | 0.109721i | ||||
\(931\) | 7.08933 | − | 5.12817i | 0.232344 | − | 0.168069i | ||||
\(932\) | − | 3.34881i | − | 0.109694i | ||||||
\(933\) | −6.11606 | + | 14.7222i | −0.200231 | + | 0.481983i | ||||
\(934\) | 1.82710 | + | 6.81885i | 0.0597847 | + | 0.223119i | ||||
\(935\) | −32.2590 | + | 55.8743i | −1.05498 | + | 1.82728i | ||||
\(936\) | −9.47768 | + | 5.21282i | −0.309788 | + | 0.170386i | ||||
\(937\) | −56.6302 | −1.85003 | −0.925014 | − | 0.379934i | \(-0.875947\pi\) | ||||
−0.925014 | + | 0.379934i | \(0.875947\pi\) | |||||||
\(938\) | 25.6325 | + | 9.10700i | 0.836930 | + | 0.297354i | ||||
\(939\) | 0.707070 | + | 0.923456i | 0.0230744 | + | 0.0301358i | ||||
\(940\) | 5.87379 | − | 3.39124i | 0.191582 | − | 0.110610i | ||||
\(941\) | 3.85102 | + | 14.3722i | 0.125540 | + | 0.468521i | 0.999858 | − | 0.0168317i | \(-0.00535796\pi\) |
−0.874319 | + | 0.485352i | \(0.838691\pi\) | |||||||
\(942\) | −9.24854 | + | 12.0270i | −0.301334 | + | 0.391862i | ||||
\(943\) | −17.3865 | − | 4.65871i | −0.566184 | − | 0.151709i | ||||
\(944\) | 8.70315 | + | 8.70315i | 0.283264 | + | 0.283264i | ||||
\(945\) | 32.0086 | + | 6.94286i | 1.04124 | + | 0.225851i | ||||
\(946\) | − | 41.6107i | − | 1.35288i | ||||||
\(947\) | −1.23758 | + | 4.61870i | −0.0402158 | + | 0.150087i | −0.983114 | − | 0.182993i | \(-0.941421\pi\) |
0.942898 | + | 0.333080i | \(0.108088\pi\) | |||||||
\(948\) | −1.70947 | − | 13.0898i | −0.0555211 | − | 0.425137i | ||||
\(949\) | 38.1673 | + | 10.9946i | 1.23896 | + | 0.356899i | ||||
\(950\) | 0.731714 | − | 0.422455i | 0.0237399 | − | 0.0137063i | ||||
\(951\) | −28.2095 | − | 3.74366i | −0.914755 | − | 0.121397i | ||||
\(952\) | −15.5763 | − | 1.24220i | −0.504830 | − | 0.0402601i | ||||
\(953\) | −28.4119 | −0.920353 | −0.460176 | − | 0.887828i | \(-0.652214\pi\) | ||||
−0.460176 | + | 0.887828i | \(0.652214\pi\) | |||||||
\(954\) | −10.3788 | − | 6.02099i | −0.336026 | − | 0.194937i | ||||
\(955\) | 27.1288 | − | 7.26914i | 0.877867 | − | 0.235224i | ||||
\(956\) | 15.5769 | − | 4.17382i | 0.503794 | − | 0.134991i | ||||
\(957\) | −7.97770 | − | 19.3166i | −0.257882 | − | 0.624417i | ||||
\(958\) | 23.9076 | 0.772420 | ||||||||
\(959\) | −28.9183 | − | 2.30623i | −0.933819 | − | 0.0744719i | ||||
\(960\) | −0.542863 | + | 4.09062i | −0.0175208 | + | 0.132024i | ||||
\(961\) | 6.05418 | − | 3.49538i | 0.195296 | − | 0.112754i | ||||
\(962\) | 5.71813 | − | 3.16052i | 0.184360 | − | 0.101899i | ||||
\(963\) | −11.7600 | + | 11.7113i | −0.378962 | + | 0.377390i | ||||
\(964\) | −0.0441972 | + | 0.164946i | −0.00142350 | + | 0.00531256i | ||||
\(965\) | 34.1802i | 1.10030i | ||||||||
\(966\) | −1.50242 | − | 29.8562i | −0.0483396 | − | 0.960607i | ||||
\(967\) | 31.4618 | + | 31.4618i | 1.01174 | + | 1.01174i | 0.999930 | + | 0.0118120i | \(0.00375997\pi\) |
0.0118120 | + | 0.999930i | \(0.496240\pi\) | |||||||
\(968\) | 9.68365 | + | 2.59473i | 0.311244 | + | 0.0833977i | ||||
\(969\) | −10.1360 | − | 7.79435i | −0.325615 | − | 0.250391i | ||||
\(970\) | −3.40284 | − | 12.6996i | −0.109259 | − | 0.407759i | ||||
\(971\) | −30.0030 | + | 17.3223i | −0.962843 | + | 0.555898i | −0.897047 | − | 0.441935i | \(-0.854292\pi\) |
−0.0657963 | + | 0.997833i | \(0.520959\pi\) | |||||||
\(972\) | −15.4655 | + | 1.95441i | −0.496055 | + | 0.0626876i | ||||
\(973\) | −34.0759 | − | 12.1069i | −1.09242 | − | 0.388128i | ||||
\(974\) | −22.0362 | −0.706086 | ||||||||
\(975\) | 3.39900 | − | 2.50328i | 0.108855 | − | 0.0801691i | ||||
\(976\) | 2.99008 | − | 5.17897i | 0.0957101 | − | 0.165775i | ||||
\(977\) | −4.51000 | − | 16.8316i | −0.144288 | − | 0.538489i | −0.999786 | − | 0.0206835i | \(-0.993416\pi\) |
0.855498 | − | 0.517806i | \(-0.173251\pi\) | |||||||
\(978\) | 8.23825 | + | 3.42242i | 0.263430 | + | 0.109437i | ||||
\(979\) | − | 43.8867i | − | 1.40262i | ||||||
\(980\) | −1.70866 | − | 16.5892i | −0.0545813 | − | 0.529923i | ||||
\(981\) | −45.5722 | + | 26.1850i | −1.45501 | + | 0.836024i | ||||
\(982\) | −14.2139 | − | 3.80860i | −0.453584 | − | 0.121537i | ||||
\(983\) | 5.70148 | − | 1.52771i | 0.181849 | − | 0.0487263i | −0.166745 | − | 0.986000i | \(-0.553326\pi\) |
0.348594 | + | 0.937274i | \(0.386659\pi\) | |||||||
\(984\) | 4.73897 | − | 0.618890i | 0.151073 | − | 0.0197295i | ||||
\(985\) | 21.2583 | − | 12.2735i | 0.677346 | − | 0.391066i | ||||
\(986\) | 10.9894 | + | 10.9894i | 0.349973 | + | 0.349973i | ||||
\(987\) | 5.94694 | − | 11.6117i | 0.189293 | − | 0.369606i | ||||
\(988\) | 1.08496 | + | 4.37423i | 0.0345173 | + | 0.139163i | ||||
\(989\) | −51.2671 | + | 29.5991i | −1.63020 | + | 0.941196i | ||||
\(990\) | 32.7726 | + | 0.0680845i | 1.04158 | + | 0.00216387i | ||||
\(991\) | 4.49393 | − | 7.78372i | 0.142755 | − | 0.247258i | −0.785778 | − | 0.618508i | \(-0.787737\pi\) |
0.928533 | + | 0.371250i | \(0.121071\pi\) | |||||||
\(992\) | −3.08183 | − | 5.33789i | −0.0978483 | − | 0.169478i | ||||
\(993\) | 4.80385 | − | 36.1983i | 0.152446 | − | 1.14872i | ||||
\(994\) | 30.9784 | − | 5.70814i | 0.982575 | − | 0.181051i | ||||
\(995\) | 8.19569 | + | 8.19569i | 0.259821 | + | 0.259821i | ||||
\(996\) | −22.0699 | + | 9.11480i | −0.699312 | + | 0.288814i | ||||
\(997\) | −2.31764 | + | 4.01427i | −0.0734005 | + | 0.127133i | −0.900390 | − | 0.435085i | \(-0.856718\pi\) |
0.826989 | + | 0.562218i | \(0.190052\pi\) | |||||||
\(998\) | −14.6874 | + | 25.4394i | −0.464923 | + | 0.805270i | ||||
\(999\) | 9.33893 | − | 1.19990i | 0.295471 | − | 0.0379631i |
(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 | 546.2.bv.a.515.20 | yes | 144 | |
3.2 | odd | 2 | inner | 546.2.bv.a.515.12 | yes | 144 | |
7.2 | even | 3 | inner | 546.2.bv.a.359.12 | yes | 144 | |
13.5 | odd | 4 | inner | 546.2.bv.a.473.20 | yes | 144 | |
21.2 | odd | 6 | inner | 546.2.bv.a.359.20 | yes | 144 | |
39.5 | even | 4 | inner | 546.2.bv.a.473.12 | yes | 144 | |
91.44 | odd | 12 | inner | 546.2.bv.a.317.12 | ✓ | 144 | |
273.44 | even | 12 | inner | 546.2.bv.a.317.20 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bv.a.317.12 | ✓ | 144 | 91.44 | odd | 12 | inner | |
546.2.bv.a.317.20 | yes | 144 | 273.44 | even | 12 | inner | |
546.2.bv.a.359.12 | yes | 144 | 7.2 | even | 3 | inner | |
546.2.bv.a.359.20 | yes | 144 | 21.2 | odd | 6 | inner | |
546.2.bv.a.473.12 | yes | 144 | 39.5 | even | 4 | inner | |
546.2.bv.a.473.20 | yes | 144 | 13.5 | odd | 4 | inner | |
546.2.bv.a.515.12 | yes | 144 | 3.2 | odd | 2 | inner | |
546.2.bv.a.515.20 | yes | 144 | 1.1 | even | 1 | trivial |