Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(19,546)]
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([0, 10, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.by (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: | \(40\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 397.1 | ||
Character | \(\chi\) | \(=\) | 546.397 |
Dual form | 546.2.by.b.535.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(1\) | \(e\left(\frac{11}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.258819 | + | 0.965926i | −0.183013 | + | 0.683013i | ||||
\(3\) | 1.00000i | 0.577350i | ||||||||
\(4\) | −0.866025 | − | 0.500000i | −0.433013 | − | 0.250000i | ||||
\(5\) | −1.13407 | − | 4.23240i | −0.507171 | − | 1.89279i | −0.446848 | − | 0.894610i | \(-0.647453\pi\) |
−0.0603236 | − | 0.998179i | \(-0.519213\pi\) | |||||||
\(6\) | −0.965926 | − | 0.258819i | −0.394338 | − | 0.105662i | ||||
\(7\) | 0.0297166 | + | 2.64558i | 0.0112318 | + | 0.999937i | ||||
\(8\) | 0.707107 | − | 0.707107i | 0.250000 | − | 0.250000i | ||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | 4.38171 | 1.38562 | ||||||||
\(11\) | −2.28221 | + | 2.28221i | −0.688113 | + | 0.688113i | −0.961815 | − | 0.273702i | \(-0.911752\pi\) |
0.273702 | + | 0.961815i | \(0.411752\pi\) | |||||||
\(12\) | 0.500000 | − | 0.866025i | 0.144338 | − | 0.250000i | ||||
\(13\) | 2.90215 | + | 2.13951i | 0.804913 | + | 0.593393i | ||||
\(14\) | −2.56313 | − | 0.656024i | −0.685025 | − | 0.175330i | ||||
\(15\) | 4.23240 | − | 1.13407i | 1.09280 | − | 0.292815i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | −3.17072 | + | 5.49185i | −0.769013 | + | 1.33197i | 0.169085 | + | 0.985601i | \(0.445919\pi\) |
−0.938098 | + | 0.346369i | \(0.887415\pi\) | |||||||
\(18\) | 0.258819 | − | 0.965926i | 0.0610042 | − | 0.227671i | ||||
\(19\) | −3.82276 | + | 3.82276i | −0.877002 | + | 0.877002i | −0.993223 | − | 0.116221i | \(-0.962922\pi\) |
0.116221 | + | 0.993223i | \(0.462922\pi\) | |||||||
\(20\) | −1.13407 | + | 4.23240i | −0.253586 | + | 0.946394i | ||||
\(21\) | −2.64558 | + | 0.0297166i | −0.577314 | + | 0.00648470i | ||||
\(22\) | −1.61377 | − | 2.79513i | −0.344056 | − | 0.595923i | ||||
\(23\) | 1.71950 | − | 0.992755i | 0.358541 | − | 0.207004i | −0.309900 | − | 0.950769i | \(-0.600295\pi\) |
0.668441 | + | 0.743766i | \(0.266962\pi\) | |||||||
\(24\) | 0.707107 | + | 0.707107i | 0.144338 | + | 0.144338i | ||||
\(25\) | −12.2970 | + | 7.09968i | −2.45940 | + | 1.41994i | ||||
\(26\) | −2.81774 | + | 2.24952i | −0.552604 | + | 0.441167i | ||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | 1.29706 | − | 2.30600i | 0.245121 | − | 0.435793i | ||||
\(29\) | −1.73874 | + | 3.01158i | −0.322876 | + | 0.559237i | −0.981080 | − | 0.193602i | \(-0.937983\pi\) |
0.658204 | + | 0.752839i | \(0.271316\pi\) | |||||||
\(30\) | 4.38171i | 0.799987i | ||||||||
\(31\) | 8.25065 | + | 2.21076i | 1.48186 | + | 0.397063i | 0.906980 | − | 0.421174i | \(-0.138382\pi\) |
0.574881 | + | 0.818237i | \(0.305048\pi\) | |||||||
\(32\) | −0.965926 | + | 0.258819i | −0.170753 | + | 0.0457532i | ||||
\(33\) | −2.28221 | − | 2.28221i | −0.397282 | − | 0.397282i | ||||
\(34\) | −4.48408 | − | 4.48408i | −0.769013 | − | 0.769013i | ||||
\(35\) | 11.1635 | − | 3.12605i | 1.88697 | − | 0.528399i | ||||
\(36\) | 0.866025 | + | 0.500000i | 0.144338 | + | 0.0833333i | ||||
\(37\) | −0.173808 | − | 0.0465718i | −0.0285739 | − | 0.00765636i | 0.244504 | − | 0.969648i | \(-0.421375\pi\) |
−0.273078 | + | 0.961992i | \(0.588042\pi\) | |||||||
\(38\) | −2.70310 | − | 4.68191i | −0.438501 | − | 0.759506i | ||||
\(39\) | −2.13951 | + | 2.90215i | −0.342596 | + | 0.464717i | ||||
\(40\) | −3.79467 | − | 2.19085i | −0.599990 | − | 0.346404i | ||||
\(41\) | 0.00297886 | + | 0.0111173i | 0.000465220 | + | 0.00173623i | 0.966158 | − | 0.257951i | \(-0.0830473\pi\) |
−0.965693 | + | 0.259687i | \(0.916381\pi\) | |||||||
\(42\) | 0.656024 | − | 2.56313i | 0.101227 | − | 0.395499i | ||||
\(43\) | −2.69459 | + | 1.55572i | −0.410921 | + | 0.237245i | −0.691185 | − | 0.722677i | \(-0.742911\pi\) |
0.280264 | + | 0.959923i | \(0.409578\pi\) | |||||||
\(44\) | 3.11756 | − | 0.835348i | 0.469990 | − | 0.125933i | ||||
\(45\) | 1.13407 | + | 4.23240i | 0.169057 | + | 0.630930i | ||||
\(46\) | 0.513888 | + | 1.91786i | 0.0757687 | + | 0.282772i | ||||
\(47\) | 3.71124 | − | 0.994423i | 0.541339 | − | 0.145051i | 0.0222199 | − | 0.999753i | \(-0.492927\pi\) |
0.519120 | + | 0.854702i | \(0.326260\pi\) | |||||||
\(48\) | −0.866025 | + | 0.500000i | −0.125000 | + | 0.0721688i | ||||
\(49\) | −6.99823 | + | 0.157236i | −0.999748 | + | 0.0224622i | ||||
\(50\) | −3.67507 | − | 13.7155i | −0.519733 | − | 1.93967i | ||||
\(51\) | −5.49185 | − | 3.17072i | −0.769013 | − | 0.443990i | ||||
\(52\) | −1.44358 | − | 3.30395i | −0.200189 | − | 0.458175i | ||||
\(53\) | −6.19883 | − | 10.7367i | −0.851475 | − | 1.47480i | −0.879877 | − | 0.475202i | \(-0.842375\pi\) |
0.0284016 | − | 0.999597i | \(-0.490958\pi\) | |||||||
\(54\) | 0.965926 | + | 0.258819i | 0.131446 | + | 0.0352208i | ||||
\(55\) | 12.2474 | + | 7.07106i | 1.65144 | + | 0.953461i | ||||
\(56\) | 1.89172 | + | 1.84970i | 0.252792 | + | 0.247176i | ||||
\(57\) | −3.82276 | − | 3.82276i | −0.506337 | − | 0.506337i | ||||
\(58\) | −2.45895 | − | 2.45895i | −0.322876 | − | 0.322876i | ||||
\(59\) | 6.22342 | − | 1.66756i | 0.810220 | − | 0.217098i | 0.170154 | − | 0.985418i | \(-0.445574\pi\) |
0.640066 | + | 0.768320i | \(0.278907\pi\) | |||||||
\(60\) | −4.23240 | − | 1.13407i | −0.546401 | − | 0.146408i | ||||
\(61\) | 5.70985i | 0.731071i | 0.930797 | + | 0.365535i | \(0.119114\pi\) | ||||
−0.930797 | + | 0.365535i | \(0.880886\pi\) | |||||||
\(62\) | −4.27085 | + | 7.39733i | −0.542399 | + | 0.939462i | ||||
\(63\) | −0.0297166 | − | 2.64558i | −0.00374394 | − | 0.333312i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | 5.76403 | − | 14.7094i | 0.714940 | − | 1.82448i | ||||
\(66\) | 2.79513 | − | 1.61377i | 0.344056 | − | 0.198641i | ||||
\(67\) | −3.75578 | − | 3.75578i | −0.458842 | − | 0.458842i | 0.439433 | − | 0.898275i | \(-0.355179\pi\) |
−0.898275 | + | 0.439433i | \(0.855179\pi\) | |||||||
\(68\) | 5.49185 | − | 3.17072i | 0.665985 | − | 0.384507i | ||||
\(69\) | 0.992755 | + | 1.71950i | 0.119514 | + | 0.207004i | ||||
\(70\) | 0.130210 | + | 11.5922i | 0.0155630 | + | 1.38553i | ||||
\(71\) | 1.61017 | − | 6.00925i | 0.191092 | − | 0.713167i | −0.802151 | − | 0.597121i | \(-0.796311\pi\) |
0.993244 | − | 0.116046i | \(-0.0370220\pi\) | |||||||
\(72\) | −0.707107 | + | 0.707107i | −0.0833333 | + | 0.0833333i | ||||
\(73\) | 0.931045 | − | 3.47471i | 0.108971 | − | 0.406684i | −0.889795 | − | 0.456361i | \(-0.849153\pi\) |
0.998765 | + | 0.0496772i | \(0.0158193\pi\) | |||||||
\(74\) | 0.0899699 | − | 0.155832i | 0.0104588 | − | 0.0181151i | ||||
\(75\) | −7.09968 | − | 12.2970i | −0.819801 | − | 1.41994i | ||||
\(76\) | 5.22199 | − | 1.39923i | 0.599004 | − | 0.160503i | ||||
\(77\) | −6.10560 | − | 5.96997i | −0.695798 | − | 0.680341i | ||||
\(78\) | −2.24952 | − | 2.81774i | −0.254708 | − | 0.319046i | ||||
\(79\) | −7.63746 | + | 13.2285i | −0.859282 | + | 1.48832i | 0.0133334 | + | 0.999911i | \(0.495756\pi\) |
−0.872615 | + | 0.488408i | \(0.837578\pi\) | |||||||
\(80\) | 3.09834 | − | 3.09834i | 0.346404 | − | 0.346404i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | −0.0115094 | −0.00127101 | ||||||||
\(83\) | 1.17696 | − | 1.17696i | 0.129188 | − | 0.129188i | −0.639556 | − | 0.768744i | \(-0.720882\pi\) |
0.768744 | + | 0.639556i | \(0.220882\pi\) | |||||||
\(84\) | 2.30600 | + | 1.29706i | 0.251605 | + | 0.141521i | ||||
\(85\) | 26.8396 | + | 7.19164i | 2.91116 | + | 0.780043i | ||||
\(86\) | −0.805301 | − | 3.00543i | −0.0868379 | − | 0.324083i | ||||
\(87\) | −3.01158 | − | 1.73874i | −0.322876 | − | 0.186412i | ||||
\(88\) | 3.22754i | 0.344056i | ||||||||
\(89\) | −4.61404 | + | 17.2198i | −0.489088 | + | 1.82530i | 0.0718142 | + | 0.997418i | \(0.477121\pi\) |
−0.560902 | + | 0.827882i | \(0.689546\pi\) | |||||||
\(90\) | −4.38171 | −0.461873 | ||||||||
\(91\) | −5.57401 | + | 7.74147i | −0.584315 | + | 0.811527i | ||||
\(92\) | −1.98551 | −0.207004 | ||||||||
\(93\) | −2.21076 | + | 8.25065i | −0.229245 | + | 0.855553i | ||||
\(94\) | 3.84215i | 0.396288i | ||||||||
\(95\) | 20.5148 | + | 11.8442i | 2.10477 | + | 1.21519i | ||||
\(96\) | −0.258819 | − | 0.965926i | −0.0264156 | − | 0.0985844i | ||||
\(97\) | −2.25048 | − | 0.603015i | −0.228502 | − | 0.0612269i | 0.142751 | − | 0.989759i | \(-0.454405\pi\) |
−0.371253 | + | 0.928532i | \(0.621072\pi\) | |||||||
\(98\) | 1.65940 | − | 6.80047i | 0.167625 | − | 0.686951i | ||||
\(99\) | 2.28221 | − | 2.28221i | 0.229371 | − | 0.229371i | ||||
\(100\) | 14.1994 | 1.41994 | ||||||||
\(101\) | −8.32192 | −0.828062 | −0.414031 | − | 0.910263i | \(-0.635879\pi\) | ||||
−0.414031 | + | 0.910263i | \(0.635879\pi\) | |||||||
\(102\) | 4.48408 | − | 4.48408i | 0.443990 | − | 0.443990i | ||||
\(103\) | −1.19202 | + | 2.06463i | −0.117453 | + | 0.203434i | −0.918758 | − | 0.394822i | \(-0.870806\pi\) |
0.801305 | + | 0.598256i | \(0.204140\pi\) | |||||||
\(104\) | 3.56499 | − | 0.539271i | 0.349576 | − | 0.0528798i | ||||
\(105\) | 3.12605 | + | 11.1635i | 0.305071 | + | 1.08944i | ||||
\(106\) | 11.9752 | − | 3.20875i | 1.16314 | − | 0.311662i | ||||
\(107\) | 2.13236 | + | 3.69335i | 0.206143 | + | 0.357050i | 0.950496 | − | 0.310736i | \(-0.100576\pi\) |
−0.744353 | + | 0.667786i | \(0.767242\pi\) | |||||||
\(108\) | −0.500000 | + | 0.866025i | −0.0481125 | + | 0.0833333i | ||||
\(109\) | 4.84556 | − | 18.0839i | 0.464120 | − | 1.73212i | −0.195668 | − | 0.980670i | \(-0.562688\pi\) |
0.659789 | − | 0.751451i | \(-0.270646\pi\) | |||||||
\(110\) | −9.99999 | + | 9.99999i | −0.953461 | + | 0.953461i | ||||
\(111\) | 0.0465718 | − | 0.173808i | 0.00442040 | − | 0.0164972i | ||||
\(112\) | −2.27629 | + | 1.34853i | −0.215089 | + | 0.127424i | ||||
\(113\) | 3.88176 | + | 6.72341i | 0.365166 | + | 0.632486i | 0.988803 | − | 0.149228i | \(-0.0476790\pi\) |
−0.623637 | + | 0.781714i | \(0.714346\pi\) | |||||||
\(114\) | 4.68191 | − | 2.70310i | 0.438501 | − | 0.253169i | ||||
\(115\) | −6.15178 | − | 6.15178i | −0.573656 | − | 0.573656i | ||||
\(116\) | 3.01158 | − | 1.73874i | 0.279619 | − | 0.161438i | ||||
\(117\) | −2.90215 | − | 2.13951i | −0.268304 | − | 0.197798i | ||||
\(118\) | 6.44295i | 0.593122i | ||||||||
\(119\) | −14.6234 | − | 8.22522i | −1.34052 | − | 0.754005i | ||||
\(120\) | 2.19085 | − | 3.79467i | 0.199997 | − | 0.346404i | ||||
\(121\) | 0.583014i | 0.0530013i | ||||||||
\(122\) | −5.51529 | − | 1.47782i | −0.499331 | − | 0.133795i | ||||
\(123\) | −0.0111173 | + | 0.00297886i | −0.00100241 | + | 0.000268595i | ||||
\(124\) | −6.03990 | − | 6.03990i | −0.542399 | − | 0.542399i | ||||
\(125\) | 28.5027 | + | 28.5027i | 2.54936 | + | 2.54936i | ||||
\(126\) | 2.56313 | + | 0.656024i | 0.228342 | + | 0.0584432i | ||||
\(127\) | −0.607656 | − | 0.350830i | −0.0539207 | − | 0.0311311i | 0.472797 | − | 0.881171i | \(-0.343244\pi\) |
−0.526718 | + | 0.850040i | \(0.676578\pi\) | |||||||
\(128\) | 0.965926 | + | 0.258819i | 0.0853766 | + | 0.0228766i | ||||
\(129\) | −1.55572 | − | 2.69459i | −0.136974 | − | 0.237245i | ||||
\(130\) | 12.7164 | + | 9.37471i | 1.11530 | + | 0.822216i | ||||
\(131\) | 6.17726 | + | 3.56644i | 0.539710 | + | 0.311602i | 0.744961 | − | 0.667108i | \(-0.232468\pi\) |
−0.205252 | + | 0.978709i | \(0.565801\pi\) | |||||||
\(132\) | 0.835348 | + | 3.11756i | 0.0727077 | + | 0.271349i | ||||
\(133\) | −10.2270 | − | 9.99985i | −0.886797 | − | 0.867097i | ||||
\(134\) | 4.59988 | − | 2.65574i | 0.397369 | − | 0.229421i | ||||
\(135\) | −4.23240 | + | 1.13407i | −0.364267 | + | 0.0976052i | ||||
\(136\) | 1.64129 | + | 6.12537i | 0.140739 | + | 0.525246i | ||||
\(137\) | −0.234204 | − | 0.874063i | −0.0200094 | − | 0.0746762i | 0.955199 | − | 0.295964i | \(-0.0956408\pi\) |
−0.975209 | + | 0.221287i | \(0.928974\pi\) | |||||||
\(138\) | −1.91786 | + | 0.513888i | −0.163259 | + | 0.0437451i | ||||
\(139\) | 17.7912 | − | 10.2718i | 1.50903 | − | 0.871239i | 0.509085 | − | 0.860716i | \(-0.329984\pi\) |
0.999945 | − | 0.0105224i | \(-0.00334944\pi\) | |||||||
\(140\) | −11.2309 | − | 2.87450i | −0.949183 | − | 0.242940i | ||||
\(141\) | 0.994423 | + | 3.71124i | 0.0837455 | + | 0.312542i | ||||
\(142\) | 5.38775 | + | 3.11062i | 0.452130 | + | 0.261037i | ||||
\(143\) | −11.5061 | + | 1.74052i | −0.962192 | + | 0.145549i | ||||
\(144\) | −0.500000 | − | 0.866025i | −0.0416667 | − | 0.0721688i | ||||
\(145\) | 14.7181 | + | 3.94370i | 1.22227 | + | 0.327507i | ||||
\(146\) | 3.11534 | + | 1.79864i | 0.257827 | + | 0.148857i | ||||
\(147\) | −0.157236 | − | 6.99823i | −0.0129686 | − | 0.577205i | ||||
\(148\) | 0.127237 | + | 0.127237i | 0.0104588 | + | 0.0104588i | ||||
\(149\) | −5.11347 | − | 5.11347i | −0.418912 | − | 0.418912i | 0.465917 | − | 0.884829i | \(-0.345725\pi\) |
−0.884829 | + | 0.465917i | \(0.845725\pi\) | |||||||
\(150\) | 13.7155 | − | 3.67507i | 1.11987 | − | 0.300068i | ||||
\(151\) | −3.27255 | − | 0.876878i | −0.266317 | − | 0.0713593i | 0.123190 | − | 0.992383i | \(-0.460688\pi\) |
−0.389506 | + | 0.921024i | \(0.627354\pi\) | |||||||
\(152\) | 5.40620i | 0.438501i | ||||||||
\(153\) | 3.17072 | − | 5.49185i | 0.256338 | − | 0.443990i | ||||
\(154\) | 7.34679 | − | 4.35242i | 0.592021 | − | 0.350728i | ||||
\(155\) | − | 37.4272i | − | 3.00623i | ||||||
\(156\) | 3.30395 | − | 1.44358i | 0.264527 | − | 0.115579i | ||||
\(157\) | −1.58306 | + | 0.913980i | −0.126342 | + | 0.0729436i | −0.561839 | − | 0.827247i | \(-0.689906\pi\) |
0.435497 | + | 0.900190i | \(0.356573\pi\) | |||||||
\(158\) | −10.8010 | − | 10.8010i | −0.859282 | − | 0.859282i | ||||
\(159\) | 10.7367 | − | 6.19883i | 0.851475 | − | 0.491599i | ||||
\(160\) | 2.19085 | + | 3.79467i | 0.173202 | + | 0.299995i | ||||
\(161\) | 2.67752 | + | 4.51959i | 0.211018 | + | 0.356193i | ||||
\(162\) | −0.258819 | + | 0.965926i | −0.0203347 | + | 0.0758903i | ||||
\(163\) | 8.10494 | − | 8.10494i | 0.634828 | − | 0.634828i | −0.314447 | − | 0.949275i | \(-0.601819\pi\) |
0.949275 | + | 0.314447i | \(0.101819\pi\) | |||||||
\(164\) | 0.00297886 | − | 0.0111173i | 0.000232610 | − | 0.000868113i | ||||
\(165\) | −7.07106 | + | 12.2474i | −0.550481 | + | 0.953461i | ||||
\(166\) | 0.832238 | + | 1.44148i | 0.0645942 | + | 0.111880i | ||||
\(167\) | −9.75066 | + | 2.61268i | −0.754529 | + | 0.202175i | −0.615526 | − | 0.788117i | \(-0.711056\pi\) |
−0.139003 | + | 0.990292i | \(0.544390\pi\) | |||||||
\(168\) | −1.84970 | + | 1.89172i | −0.142707 | + | 0.145950i | ||||
\(169\) | 3.84499 | + | 12.4184i | 0.295769 | + | 0.955260i | ||||
\(170\) | −13.8932 | + | 24.0637i | −1.06556 | + | 1.84560i | ||||
\(171\) | 3.82276 | − | 3.82276i | 0.292334 | − | 0.292334i | ||||
\(172\) | 3.11145 | 0.237245 | ||||||||
\(173\) | −10.9280 | −0.830842 | −0.415421 | − | 0.909629i | \(-0.636366\pi\) | ||||
−0.415421 | + | 0.909629i | \(0.636366\pi\) | |||||||
\(174\) | 2.45895 | − | 2.45895i | 0.186412 | − | 0.186412i | ||||
\(175\) | −19.1482 | − | 32.3218i | −1.44747 | − | 2.44330i | ||||
\(176\) | −3.11756 | − | 0.835348i | −0.234995 | − | 0.0629667i | ||||
\(177\) | 1.66756 | + | 6.22342i | 0.125341 | + | 0.467781i | ||||
\(178\) | −15.4389 | − | 8.91365i | −1.15719 | − | 0.668106i | ||||
\(179\) | − | 10.0398i | − | 0.750411i | −0.926942 | − | 0.375205i | \(-0.877572\pi\) | ||
0.926942 | − | 0.375205i | \(-0.122428\pi\) | |||||||
\(180\) | 1.13407 | − | 4.23240i | 0.0845285 | − | 0.315465i | ||||
\(181\) | −0.280875 | −0.0208773 | −0.0104386 | − | 0.999946i | \(-0.503323\pi\) | ||||
−0.0104386 | + | 0.999946i | \(0.503323\pi\) | |||||||
\(182\) | −6.03503 | − | 7.38772i | −0.447346 | − | 0.547614i | ||||
\(183\) | −5.70985 | −0.422084 | ||||||||
\(184\) | 0.513888 | − | 1.91786i | 0.0378843 | − | 0.141386i | ||||
\(185\) | 0.788443i | 0.0579675i | ||||||||
\(186\) | −7.39733 | − | 4.27085i | −0.542399 | − | 0.313154i | ||||
\(187\) | −5.29731 | − | 19.7698i | −0.387378 | − | 1.44571i | ||||
\(188\) | −3.71124 | − | 0.994423i | −0.270670 | − | 0.0725257i | ||||
\(189\) | 2.64558 | − | 0.0297166i | 0.192438 | − | 0.00216157i | ||||
\(190\) | −16.7502 | + | 16.7502i | −1.21519 | + | 1.21519i | ||||
\(191\) | 3.98098 | 0.288053 | 0.144027 | − | 0.989574i | \(-0.453995\pi\) | ||||
0.144027 | + | 0.989574i | \(0.453995\pi\) | |||||||
\(192\) | 1.00000 | 0.0721688 | ||||||||
\(193\) | 17.3308 | − | 17.3308i | 1.24750 | − | 1.24750i | 0.290675 | − | 0.956822i | \(-0.406120\pi\) |
0.956822 | − | 0.290675i | \(-0.0938799\pi\) | |||||||
\(194\) | 1.16494 | − | 2.01773i | 0.0836375 | − | 0.144864i | ||||
\(195\) | 14.7094 | + | 5.76403i | 1.05337 | + | 0.412771i | ||||
\(196\) | 6.13927 | + | 3.36295i | 0.438519 | + | 0.240210i | ||||
\(197\) | 3.65004 | − | 0.978025i | 0.260054 | − | 0.0696814i | −0.126436 | − | 0.991975i | \(-0.540354\pi\) |
0.386491 | + | 0.922293i | \(0.373687\pi\) | |||||||
\(198\) | 1.61377 | + | 2.79513i | 0.114685 | + | 0.198641i | ||||
\(199\) | −1.78708 | + | 3.09532i | −0.126683 | + | 0.219421i | −0.922390 | − | 0.386261i | \(-0.873766\pi\) |
0.795707 | + | 0.605682i | \(0.207100\pi\) | |||||||
\(200\) | −3.67507 | + | 13.7155i | −0.259866 | + | 0.969835i | ||||
\(201\) | 3.75578 | − | 3.75578i | 0.264913 | − | 0.264913i | ||||
\(202\) | 2.15387 | − | 8.03835i | 0.151546 | − | 0.565577i | ||||
\(203\) | −8.01907 | − | 4.51049i | −0.562828 | − | 0.316574i | ||||
\(204\) | 3.17072 | + | 5.49185i | 0.221995 | + | 0.384507i | ||||
\(205\) | 0.0436746 | − | 0.0252155i | 0.00305036 | − | 0.00176113i | ||||
\(206\) | −1.68576 | − | 1.68576i | −0.117453 | − | 0.117453i | ||||
\(207\) | −1.71950 | + | 0.992755i | −0.119514 | + | 0.0690013i | ||||
\(208\) | −0.401793 | + | 3.58309i | −0.0278593 | + | 0.248443i | ||||
\(209\) | − | 17.4487i | − | 1.20695i | ||||||
\(210\) | −11.5922 | + | 0.130210i | −0.799936 | + | 0.00898531i | ||||
\(211\) | −7.71910 | + | 13.3699i | −0.531405 | + | 0.920420i | 0.467924 | + | 0.883769i | \(0.345002\pi\) |
−0.999328 | + | 0.0366508i | \(0.988331\pi\) | |||||||
\(212\) | 12.3977i | 0.851475i | ||||||||
\(213\) | 6.00925 | + | 1.61017i | 0.411747 | + | 0.110327i | ||||
\(214\) | −4.11940 | + | 1.10379i | −0.281596 | + | 0.0754535i | ||||
\(215\) | 9.64030 | + | 9.64030i | 0.657463 | + | 0.657463i | ||||
\(216\) | −0.707107 | − | 0.707107i | −0.0481125 | − | 0.0481125i | ||||
\(217\) | −5.60356 | + | 21.8935i | −0.380394 | + | 1.48623i | ||||
\(218\) | 16.2136 | + | 9.36090i | 1.09812 | + | 0.634000i | ||||
\(219\) | 3.47471 | + | 0.931045i | 0.234799 | + | 0.0629142i | ||||
\(220\) | −7.07106 | − | 12.2474i | −0.476731 | − | 0.825722i | ||||
\(221\) | −20.9518 | + | 9.15441i | −1.40937 | + | 0.615792i | ||||
\(222\) | 0.155832 | + | 0.0899699i | 0.0104588 | + | 0.00603838i | ||||
\(223\) | 5.78209 | + | 21.5790i | 0.387197 | + | 1.44504i | 0.834674 | + | 0.550744i | \(0.185656\pi\) |
−0.447477 | + | 0.894295i | \(0.647677\pi\) | |||||||
\(224\) | −0.713432 | − | 2.54775i | −0.0476682 | − | 0.170229i | ||||
\(225\) | 12.2970 | − | 7.09968i | 0.819801 | − | 0.473312i | ||||
\(226\) | −7.49899 | + | 2.00935i | −0.498826 | + | 0.133660i | ||||
\(227\) | 5.98281 | + | 22.3281i | 0.397093 | + | 1.48197i | 0.818186 | + | 0.574953i | \(0.194980\pi\) |
−0.421093 | + | 0.907017i | \(0.638354\pi\) | |||||||
\(228\) | 1.39923 | + | 5.22199i | 0.0926662 | + | 0.345835i | ||||
\(229\) | 13.7806 | − | 3.69250i | 0.910646 | − | 0.244007i | 0.227064 | − | 0.973880i | \(-0.427087\pi\) |
0.683583 | + | 0.729873i | \(0.260421\pi\) | |||||||
\(230\) | 7.53436 | − | 4.34996i | 0.496801 | − | 0.286828i | ||||
\(231\) | 5.96997 | − | 6.10560i | 0.392795 | − | 0.401719i | ||||
\(232\) | 0.900038 | + | 3.35899i | 0.0590904 | + | 0.220528i | ||||
\(233\) | 1.76570 | + | 1.01943i | 0.115675 | + | 0.0667851i | 0.556721 | − | 0.830699i | \(-0.312059\pi\) |
−0.441046 | + | 0.897484i | \(0.645392\pi\) | |||||||
\(234\) | 2.81774 | − | 2.24952i | 0.184201 | − | 0.147056i | ||||
\(235\) | −8.41760 | − | 14.5797i | −0.549104 | − | 0.951075i | ||||
\(236\) | −6.22342 | − | 1.66756i | −0.405110 | − | 0.108549i | ||||
\(237\) | −13.2285 | − | 7.63746i | −0.859282 | − | 0.496107i | ||||
\(238\) | 11.7298 | − | 11.9963i | 0.760328 | − | 0.777602i | ||||
\(239\) | 7.26823 | + | 7.26823i | 0.470143 | + | 0.470143i | 0.901961 | − | 0.431818i | \(-0.142128\pi\) |
−0.431818 | + | 0.901961i | \(0.642128\pi\) | |||||||
\(240\) | 3.09834 | + | 3.09834i | 0.199997 | + | 0.199997i | ||||
\(241\) | 10.6061 | − | 2.84189i | 0.683198 | − | 0.183062i | 0.0995053 | − | 0.995037i | \(-0.468274\pi\) |
0.583693 | + | 0.811975i | \(0.301607\pi\) | |||||||
\(242\) | −0.563149 | − | 0.150895i | −0.0362006 | − | 0.00969991i | ||||
\(243\) | 1.00000i | 0.0641500i | ||||||||
\(244\) | 2.85492 | − | 4.94487i | 0.182768 | − | 0.316563i | ||||
\(245\) | 8.60197 | + | 29.4410i | 0.549560 | + | 1.88092i | ||||
\(246\) | − | 0.0115094i | − | 0.000733816i | ||||||
\(247\) | −19.2731 | + | 2.91541i | −1.22632 | + | 0.185503i | ||||
\(248\) | 7.39733 | − | 4.27085i | 0.469731 | − | 0.271199i | ||||
\(249\) | 1.17696 | + | 1.17696i | 0.0745869 | + | 0.0745869i | ||||
\(250\) | −34.9086 | + | 20.1545i | −2.20781 | + | 1.27468i | ||||
\(251\) | −6.53973 | − | 11.3271i | −0.412784 | − | 0.714963i | 0.582409 | − | 0.812896i | \(-0.302110\pi\) |
−0.995193 | + | 0.0979333i | \(0.968777\pi\) | |||||||
\(252\) | −1.29706 | + | 2.30600i | −0.0817069 | + | 0.145264i | ||||
\(253\) | −1.65859 | + | 6.18995i | −0.104275 | + | 0.389159i | ||||
\(254\) | 0.496149 | − | 0.496149i | 0.0311311 | − | 0.0311311i | ||||
\(255\) | −7.19164 | + | 26.8396i | −0.450358 | + | 1.68076i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 0.0323063 | + | 0.0559561i | 0.00201521 | + | 0.00349044i | 0.867031 | − | 0.498254i | \(-0.166025\pi\) |
−0.865016 | + | 0.501744i | \(0.832692\pi\) | |||||||
\(258\) | 3.00543 | − | 0.805301i | 0.187110 | − | 0.0501359i | ||||
\(259\) | 0.118045 | − | 0.461209i | 0.00733494 | − | 0.0286581i | ||||
\(260\) | −12.3465 | + | 9.85674i | −0.765698 | + | 0.611289i | ||||
\(261\) | 1.73874 | − | 3.01158i | 0.107625 | − | 0.186412i | ||||
\(262\) | −5.04371 | + | 5.04371i | −0.311602 | + | 0.311602i | ||||
\(263\) | −3.99899 | −0.246588 | −0.123294 | − | 0.992370i | \(-0.539346\pi\) | ||||
−0.123294 | + | 0.992370i | \(0.539346\pi\) | |||||||
\(264\) | −3.22754 | −0.198641 | ||||||||
\(265\) | −38.4121 | + | 38.4121i | −2.35964 | + | 2.35964i | ||||
\(266\) | 12.3061 | − | 7.29042i | 0.754533 | − | 0.447004i | ||||
\(267\) | −17.2198 | − | 4.61404i | −1.05384 | − | 0.282375i | ||||
\(268\) | 1.37471 | + | 5.13050i | 0.0839739 | + | 0.313395i | ||||
\(269\) | −3.72107 | − | 2.14836i | −0.226878 | − | 0.130988i | 0.382253 | − | 0.924058i | \(-0.375148\pi\) |
−0.609131 | + | 0.793070i | \(0.708482\pi\) | |||||||
\(270\) | − | 4.38171i | − | 0.266662i | ||||||
\(271\) | 1.97318 | − | 7.36399i | 0.119862 | − | 0.447331i | −0.879743 | − | 0.475450i | \(-0.842285\pi\) |
0.999605 | + | 0.0281194i | \(0.00895187\pi\) | |||||||
\(272\) | −6.34145 | −0.384507 | ||||||||
\(273\) | −7.74147 | − | 5.57401i | −0.468535 | − | 0.337355i | ||||
\(274\) | 0.904896 | 0.0546668 | ||||||||
\(275\) | 11.8614 | − | 44.2674i | 0.715270 | − | 2.66942i | ||||
\(276\) | − | 1.98551i | − | 0.119514i | ||||||
\(277\) | −1.10751 | − | 0.639421i | −0.0665438 | − | 0.0384191i | 0.466359 | − | 0.884596i | \(-0.345566\pi\) |
−0.532903 | + | 0.846176i | \(0.678899\pi\) | |||||||
\(278\) | 5.31705 | + | 19.8435i | 0.318895 | + | 1.19013i | ||||
\(279\) | −8.25065 | − | 2.21076i | −0.493954 | − | 0.132354i | ||||
\(280\) | 5.68332 | − | 10.1042i | 0.339644 | − | 0.603843i | ||||
\(281\) | 7.17377 | − | 7.17377i | 0.427951 | − | 0.427951i | −0.459979 | − | 0.887930i | \(-0.652143\pi\) |
0.887930 | + | 0.459979i | \(0.152143\pi\) | |||||||
\(282\) | −3.84215 | −0.228797 | ||||||||
\(283\) | −4.33819 | −0.257878 | −0.128939 | − | 0.991653i | \(-0.541157\pi\) | ||||
−0.128939 | + | 0.991653i | \(0.541157\pi\) | |||||||
\(284\) | −4.39908 | + | 4.39908i | −0.261037 | + | 0.261037i | ||||
\(285\) | −11.8442 | + | 20.5148i | −0.701590 | + | 1.21519i | ||||
\(286\) | 1.29680 | − | 11.5646i | 0.0766815 | − | 0.683827i | ||||
\(287\) | −0.0293232 | + | 0.00821120i | −0.00173089 | + | 0.000484692i | ||||
\(288\) | 0.965926 | − | 0.258819i | 0.0569177 | − | 0.0152511i | ||||
\(289\) | −11.6070 | − | 20.1039i | −0.682763 | − | 1.18258i | ||||
\(290\) | −7.61865 | + | 13.1959i | −0.447382 | + | 0.774889i | ||||
\(291\) | 0.603015 | − | 2.25048i | 0.0353494 | − | 0.131926i | ||||
\(292\) | −2.54366 | + | 2.54366i | −0.148857 | + | 0.148857i | ||||
\(293\) | 4.70535 | − | 17.5606i | 0.274890 | − | 1.02590i | −0.681026 | − | 0.732260i | \(-0.738466\pi\) |
0.955915 | − | 0.293643i | \(-0.0948676\pi\) | |||||||
\(294\) | 6.80047 | + | 1.65940i | 0.396611 | + | 0.0967781i | ||||
\(295\) | −14.1156 | − | 24.4489i | −0.821840 | − | 1.42347i | ||||
\(296\) | −0.155832 | + | 0.0899699i | −0.00905757 | + | 0.00522939i | ||||
\(297\) | 2.28221 | + | 2.28221i | 0.132427 | + | 0.132427i | ||||
\(298\) | 6.26270 | − | 3.61577i | 0.362789 | − | 0.209456i | ||||
\(299\) | 7.11427 | + | 0.797765i | 0.411429 | + | 0.0461359i | ||||
\(300\) | 14.1994i | 0.819801i | ||||||||
\(301\) | −4.19587 | − | 7.08254i | −0.241846 | − | 0.408231i | ||||
\(302\) | 1.69400 | − | 2.93409i | 0.0974786 | − | 0.168838i | ||||
\(303\) | − | 8.32192i | − | 0.478082i | ||||||
\(304\) | −5.22199 | − | 1.39923i | −0.299502 | − | 0.0802513i | ||||
\(305\) | 24.1664 | − | 6.47536i | 1.38376 | − | 0.370778i | ||||
\(306\) | 4.48408 | + | 4.48408i | 0.256338 | + | 0.256338i | ||||
\(307\) | 7.72652 | + | 7.72652i | 0.440976 | + | 0.440976i | 0.892340 | − | 0.451364i | \(-0.149062\pi\) |
−0.451364 | + | 0.892340i | \(0.649062\pi\) | |||||||
\(308\) | 2.30263 | + | 8.22294i | 0.131204 | + | 0.468546i | ||||
\(309\) | −2.06463 | − | 1.19202i | −0.117453 | − | 0.0678114i | ||||
\(310\) | 36.1519 | + | 9.68688i | 2.05329 | + | 0.550178i | ||||
\(311\) | 5.76925 | + | 9.99263i | 0.327144 | + | 0.566630i | 0.981944 | − | 0.189172i | \(-0.0605804\pi\) |
−0.654800 | + | 0.755802i | \(0.727247\pi\) | |||||||
\(312\) | 0.539271 | + | 3.56499i | 0.0305302 | + | 0.201828i | ||||
\(313\) | −15.6924 | − | 9.06000i | −0.886986 | − | 0.512101i | −0.0140304 | − | 0.999902i | \(-0.504466\pi\) |
−0.872955 | + | 0.487800i | \(0.837799\pi\) | |||||||
\(314\) | −0.473111 | − | 1.76567i | −0.0266992 | − | 0.0996428i | ||||
\(315\) | −11.1635 | + | 3.12605i | −0.628991 | + | 0.176133i | ||||
\(316\) | 13.2285 | − | 7.63746i | 0.744160 | − | 0.429641i | ||||
\(317\) | −23.9680 | + | 6.42219i | −1.34617 | + | 0.360706i | −0.858721 | − | 0.512443i | \(-0.828741\pi\) |
−0.487453 | + | 0.873149i | \(0.662074\pi\) | |||||||
\(318\) | 3.20875 | + | 11.9752i | 0.179938 | + | 0.671537i | ||||
\(319\) | −2.90490 | − | 10.8412i | −0.162643 | − | 0.606993i | ||||
\(320\) | −4.23240 | + | 1.13407i | −0.236599 | + | 0.0633964i | ||||
\(321\) | −3.69335 | + | 2.13236i | −0.206143 | + | 0.119017i | ||||
\(322\) | −5.05858 | + | 1.41653i | −0.281904 | + | 0.0789399i | ||||
\(323\) | −8.87314 | − | 33.1150i | −0.493714 | − | 1.84257i | ||||
\(324\) | −0.866025 | − | 0.500000i | −0.0481125 | − | 0.0277778i | ||||
\(325\) | −50.8777 | − | 5.70521i | −2.82218 | − | 0.316468i | ||||
\(326\) | 5.73106 | + | 9.92648i | 0.317414 | + | 0.549777i | ||||
\(327\) | 18.0839 | + | 4.84556i | 1.00004 | + | 0.267960i | ||||
\(328\) | 0.00996747 | + | 0.00575472i | 0.000550362 | + | 0.000317751i | ||||
\(329\) | 2.74111 | + | 9.78884i | 0.151123 | + | 0.539676i | ||||
\(330\) | −9.99999 | − | 9.99999i | −0.550481 | − | 0.550481i | ||||
\(331\) | 9.11773 | + | 9.11773i | 0.501156 | + | 0.501156i | 0.911797 | − | 0.410641i | \(-0.134695\pi\) |
−0.410641 | + | 0.911797i | \(0.634695\pi\) | |||||||
\(332\) | −1.60776 | + | 0.430798i | −0.0882373 | + | 0.0236431i | ||||
\(333\) | 0.173808 | + | 0.0465718i | 0.00952464 | + | 0.00255212i | ||||
\(334\) | − | 10.0946i | − | 0.552354i | ||||||
\(335\) | −11.6367 | + | 20.1553i | −0.635780 | + | 1.10120i | ||||
\(336\) | −1.34853 | − | 2.27629i | −0.0735682 | − | 0.124182i | ||||
\(337\) | − | 10.2939i | − | 0.560743i | −0.959892 | − | 0.280372i | \(-0.909542\pi\) | ||
0.959892 | − | 0.280372i | \(-0.0904577\pi\) | |||||||
\(338\) | −12.9904 | + | 0.499867i | −0.706584 | + | 0.0271892i | ||||
\(339\) | −6.72341 | + | 3.88176i | −0.365166 | + | 0.210829i | ||||
\(340\) | −19.6479 | − | 19.6479i | −1.06556 | − | 1.06556i | ||||
\(341\) | −23.8752 | + | 13.7843i | −1.29291 | + | 0.746463i | ||||
\(342\) | 2.70310 | + | 4.68191i | 0.146167 | + | 0.253169i | ||||
\(343\) | −0.623944 | − | 18.5097i | −0.0336898 | − | 0.999432i | ||||
\(344\) | −0.805301 | + | 3.00543i | −0.0434189 | + | 0.162042i | ||||
\(345\) | 6.15178 | − | 6.15178i | 0.331201 | − | 0.331201i | ||||
\(346\) | 2.82838 | − | 10.5557i | 0.152055 | − | 0.567475i | ||||
\(347\) | −13.6113 | + | 23.5755i | −0.730694 | + | 1.26560i | 0.225893 | + | 0.974152i | \(0.427470\pi\) |
−0.956587 | + | 0.291447i | \(0.905863\pi\) | |||||||
\(348\) | 1.73874 | + | 3.01158i | 0.0932062 | + | 0.161438i | ||||
\(349\) | 20.4872 | − | 5.48954i | 1.09666 | − | 0.293848i | 0.335254 | − | 0.942128i | \(-0.391178\pi\) |
0.761402 | + | 0.648280i | \(0.224511\pi\) | |||||||
\(350\) | 36.1764 | − | 10.1303i | 1.93371 | − | 0.541486i | ||||
\(351\) | 2.13951 | − | 2.90215i | 0.114199 | − | 0.154906i | ||||
\(352\) | 1.61377 | − | 2.79513i | 0.0860141 | − | 0.148981i | ||||
\(353\) | 2.52442 | − | 2.52442i | 0.134362 | − | 0.134362i | −0.636727 | − | 0.771089i | \(-0.719712\pi\) |
0.771089 | + | 0.636727i | \(0.219712\pi\) | |||||||
\(354\) | −6.44295 | −0.342439 | ||||||||
\(355\) | −27.2596 | −1.44679 | ||||||||
\(356\) | 12.6058 | − | 12.6058i | 0.668106 | − | 0.668106i | ||||
\(357\) | 8.22522 | − | 14.6234i | 0.435325 | − | 0.773952i | ||||
\(358\) | 9.69771 | + | 2.59849i | 0.512540 | + | 0.137335i | ||||
\(359\) | 4.70401 | + | 17.5556i | 0.248268 | + | 0.926549i | 0.971713 | + | 0.236167i | \(0.0758911\pi\) |
−0.723444 | + | 0.690383i | \(0.757442\pi\) | |||||||
\(360\) | 3.79467 | + | 2.19085i | 0.199997 | + | 0.115468i | ||||
\(361\) | − | 10.2270i | − | 0.538266i | ||||||
\(362\) | 0.0726959 | − | 0.271305i | 0.00382081 | − | 0.0142595i | ||||
\(363\) | −0.583014 | −0.0306003 | ||||||||
\(364\) | 8.69797 | − | 3.91731i | 0.455898 | − | 0.205323i | ||||
\(365\) | −15.7622 | −0.825033 | ||||||||
\(366\) | 1.47782 | − | 5.51529i | 0.0772467 | − | 0.288289i | ||||
\(367\) | − | 0.354772i | − | 0.0185190i | −0.999957 | − | 0.00925948i | \(-0.997053\pi\) | ||
0.999957 | − | 0.00925948i | \(-0.00294743\pi\) | |||||||
\(368\) | 1.71950 | + | 0.992755i | 0.0896353 | + | 0.0517510i | ||||
\(369\) | −0.00297886 | − | 0.0111173i | −0.000155073 | − | 0.000578742i | ||||
\(370\) | −0.761578 | − | 0.204064i | −0.0395925 | − | 0.0106088i | ||||
\(371\) | 28.2206 | − | 16.7186i | 1.46514 | − | 0.867986i | ||||
\(372\) | 6.03990 | − | 6.03990i | 0.313154 | − | 0.313154i | ||||
\(373\) | 21.2008 | 1.09773 | 0.548867 | − | 0.835909i | \(-0.315059\pi\) | ||||
0.548867 | + | 0.835909i | \(0.315059\pi\) | |||||||
\(374\) | 20.4672 | 1.05834 | ||||||||
\(375\) | −28.5027 | + | 28.5027i | −1.47187 | + | 1.47187i | ||||
\(376\) | 1.92108 | − | 3.32740i | 0.0990720 | − | 0.171598i | ||||
\(377\) | −11.4894 | + | 5.02003i | −0.591734 | + | 0.258545i | ||||
\(378\) | −0.656024 | + | 2.56313i | −0.0337422 | + | 0.131833i | ||||
\(379\) | 10.3631 | − | 2.77679i | 0.532317 | − | 0.142634i | 0.0173592 | − | 0.999849i | \(-0.494474\pi\) |
0.514958 | + | 0.857215i | \(0.327807\pi\) | |||||||
\(380\) | −11.8442 | − | 20.5148i | −0.607595 | − | 1.05239i | ||||
\(381\) | 0.350830 | − | 0.607656i | 0.0179736 | − | 0.0311311i | ||||
\(382\) | −1.03035 | + | 3.84533i | −0.0527174 | + | 0.196744i | ||||
\(383\) | −10.3753 | + | 10.3753i | −0.530153 | + | 0.530153i | −0.920618 | − | 0.390465i | \(-0.872314\pi\) |
0.390465 | + | 0.920618i | \(0.372314\pi\) | |||||||
\(384\) | −0.258819 | + | 0.965926i | −0.0132078 | + | 0.0492922i | ||||
\(385\) | −18.3431 | + | 32.6117i | −0.934853 | + | 1.66205i | ||||
\(386\) | 12.2547 | + | 21.2258i | 0.623748 | + | 1.08036i | ||||
\(387\) | 2.69459 | − | 1.55572i | 0.136974 | − | 0.0790818i | ||||
\(388\) | 1.64747 | + | 1.64747i | 0.0836375 | + | 0.0836375i | ||||
\(389\) | 6.90619 | − | 3.98729i | 0.350158 | − | 0.202164i | −0.314597 | − | 0.949225i | \(-0.601869\pi\) |
0.664755 | + | 0.747062i | \(0.268536\pi\) | |||||||
\(390\) | −9.37471 | + | 12.7164i | −0.474707 | + | 0.643919i | ||||
\(391\) | 12.5910i | 0.636755i | ||||||||
\(392\) | −4.83732 | + | 5.05968i | −0.244321 | + | 0.255552i | ||||
\(393\) | −3.56644 | + | 6.17726i | −0.179903 | + | 0.311602i | ||||
\(394\) | 3.77880i | 0.190373i | ||||||||
\(395\) | 64.6497 | + | 17.3228i | 3.25288 | + | 0.871606i | ||||
\(396\) | −3.11756 | + | 0.835348i | −0.156663 | + | 0.0419778i | ||||
\(397\) | 15.2081 | + | 15.2081i | 0.763274 | + | 0.763274i | 0.976913 | − | 0.213638i | \(-0.0685315\pi\) |
−0.213638 | + | 0.976913i | \(0.568531\pi\) | |||||||
\(398\) | −2.52732 | − | 2.52732i | −0.126683 | − | 0.126683i | ||||
\(399\) | 9.99985 | − | 10.2270i | 0.500618 | − | 0.511993i | ||||
\(400\) | −12.2970 | − | 7.09968i | −0.614850 | − | 0.354984i | ||||
\(401\) | −21.0329 | − | 5.63574i | −1.05033 | − | 0.281436i | −0.307943 | − | 0.951405i | \(-0.599641\pi\) |
−0.742389 | + | 0.669969i | \(0.766307\pi\) | |||||||
\(402\) | 2.65574 | + | 4.59988i | 0.132456 | + | 0.229421i | ||||
\(403\) | 19.2147 | + | 24.0683i | 0.957154 | + | 1.19893i | ||||
\(404\) | 7.20699 | + | 4.16096i | 0.358561 | + | 0.207015i | ||||
\(405\) | −1.13407 | − | 4.23240i | −0.0563524 | − | 0.210310i | ||||
\(406\) | 6.43228 | − | 6.57843i | 0.319229 | − | 0.326482i | ||||
\(407\) | 0.502955 | − | 0.290381i | 0.0249305 | − | 0.0143936i | ||||
\(408\) | −6.12537 | + | 1.64129i | −0.303251 | + | 0.0812558i | ||||
\(409\) | 8.36755 | + | 31.2281i | 0.413749 | + | 1.54413i | 0.787329 | + | 0.616534i | \(0.211464\pi\) |
−0.373580 | + | 0.927598i | \(0.621870\pi\) | |||||||
\(410\) | 0.0130525 | + | 0.0487126i | 0.000644618 | + | 0.00240575i | ||||
\(411\) | 0.874063 | − | 0.234204i | 0.0431143 | − | 0.0115525i | ||||
\(412\) | 2.06463 | − | 1.19202i | 0.101717 | − | 0.0587264i | ||||
\(413\) | 4.59661 | + | 16.4150i | 0.226184 | + | 0.807730i | ||||
\(414\) | −0.513888 | − | 1.91786i | −0.0252562 | − | 0.0942575i | ||||
\(415\) | −6.31614 | − | 3.64662i | −0.310047 | − | 0.179006i | ||||
\(416\) | −3.35701 | − | 1.31548i | −0.164591 | − | 0.0644965i | ||||
\(417\) | 10.2718 | + | 17.7912i | 0.503010 | + | 0.871239i | ||||
\(418\) | 16.8542 | + | 4.51606i | 0.824364 | + | 0.220888i | ||||
\(419\) | 4.47379 | + | 2.58295i | 0.218559 | + | 0.126185i | 0.605283 | − | 0.796010i | \(-0.293060\pi\) |
−0.386724 | + | 0.922196i | \(0.626393\pi\) | |||||||
\(420\) | 2.87450 | − | 11.2309i | 0.140261 | − | 0.548011i | ||||
\(421\) | 10.2156 | + | 10.2156i | 0.497877 | + | 0.497877i | 0.910777 | − | 0.412899i | \(-0.135484\pi\) |
−0.412899 | + | 0.910777i | \(0.635484\pi\) | |||||||
\(422\) | −10.9165 | − | 10.9165i | −0.531405 | − | 0.531405i | ||||
\(423\) | −3.71124 | + | 0.994423i | −0.180446 | + | 0.0483505i | ||||
\(424\) | −11.9752 | − | 3.20875i | −0.581568 | − | 0.155831i | ||||
\(425\) | − | 90.0445i | − | 4.36780i | ||||||
\(426\) | −3.11062 | + | 5.38775i | −0.150710 | + | 0.261037i | ||||
\(427\) | −15.1059 | + | 0.169677i | −0.731025 | + | 0.00821126i | ||||
\(428\) | − | 4.26472i | − | 0.206143i | ||||||
\(429\) | −1.74052 | − | 11.5061i | −0.0840329 | − | 0.555522i | ||||
\(430\) | −11.8069 | + | 6.81672i | −0.569380 | + | 0.328732i | ||||
\(431\) | −3.04921 | − | 3.04921i | −0.146875 | − | 0.146875i | 0.629845 | − | 0.776720i | \(-0.283118\pi\) |
−0.776720 | + | 0.629845i | \(0.783118\pi\) | |||||||
\(432\) | 0.866025 | − | 0.500000i | 0.0416667 | − | 0.0240563i | ||||
\(433\) | −19.0775 | − | 33.0433i | −0.916808 | − | 1.58796i | −0.804233 | − | 0.594314i | \(-0.797424\pi\) |
−0.112575 | − | 0.993643i | \(-0.535910\pi\) | |||||||
\(434\) | −19.6972 | − | 11.0791i | −0.945495 | − | 0.531813i | ||||
\(435\) | −3.94370 | + | 14.7181i | −0.189086 | + | 0.705679i | ||||
\(436\) | −13.2383 | + | 13.2383i | −0.634000 | + | 0.634000i | ||||
\(437\) | −2.77818 | + | 10.3683i | −0.132899 | + | 0.495984i | ||||
\(438\) | −1.79864 | + | 3.11534i | −0.0859424 | + | 0.148857i | ||||
\(439\) | 9.88117 | + | 17.1147i | 0.471602 | + | 0.816839i | 0.999472 | − | 0.0324860i | \(-0.0103424\pi\) |
−0.527870 | + | 0.849325i | \(0.677009\pi\) | |||||||
\(440\) | 13.6602 | − | 3.66025i | 0.651226 | − | 0.174496i | ||||
\(441\) | 6.99823 | − | 0.157236i | 0.333249 | − | 0.00748741i | ||||
\(442\) | −3.41976 | − | 22.6072i | −0.162661 | − | 1.07532i | ||||
\(443\) | −13.7162 | + | 23.7572i | −0.651677 | + | 1.12874i | 0.331039 | + | 0.943617i | \(0.392601\pi\) |
−0.982716 | + | 0.185120i | \(0.940733\pi\) | |||||||
\(444\) | −0.127237 | + | 0.127237i | −0.00603838 | + | 0.00603838i | ||||
\(445\) | 78.1140 | 3.70296 | ||||||||
\(446\) | −22.3403 | −1.05784 | ||||||||
\(447\) | 5.11347 | − | 5.11347i | 0.241859 | − | 0.241859i | ||||
\(448\) | 2.64558 | − | 0.0297166i | 0.124992 | − | 0.00140398i | ||||
\(449\) | −21.2137 | − | 5.68419i | −1.00114 | − | 0.268253i | −0.279214 | − | 0.960229i | \(-0.590074\pi\) |
−0.721921 | + | 0.691975i | \(0.756741\pi\) | |||||||
\(450\) | 3.67507 | + | 13.7155i | 0.173244 | + | 0.646556i | ||||
\(451\) | −0.0321704 | − | 0.0185736i | −0.00151484 | − | 0.000874596i | ||||
\(452\) | − | 7.76353i | − | 0.365166i | ||||||
\(453\) | 0.876878 | − | 3.27255i | 0.0411993 | − | 0.153758i | ||||
\(454\) | −23.1158 | −1.08488 | ||||||||
\(455\) | 39.0864 | + | 14.8121i | 1.83240 | + | 0.694402i | ||||
\(456\) | −5.40620 | −0.253169 | ||||||||
\(457\) | −2.30088 | + | 8.58700i | −0.107631 | + | 0.401683i | −0.998630 | − | 0.0523209i | \(-0.983338\pi\) |
0.891000 | + | 0.454004i | \(0.150005\pi\) | |||||||
\(458\) | 14.2667i | 0.666639i | ||||||||
\(459\) | 5.49185 | + | 3.17072i | 0.256338 | + | 0.147997i | ||||
\(460\) | 2.25171 | + | 8.40349i | 0.104986 | + | 0.391815i | ||||
\(461\) | 12.8354 | + | 3.43922i | 0.597802 | + | 0.160181i | 0.545017 | − | 0.838425i | \(-0.316523\pi\) |
0.0527857 | + | 0.998606i | \(0.483190\pi\) | |||||||
\(462\) | 4.35242 | + | 7.34679i | 0.202493 | + | 0.341804i | ||||
\(463\) | 16.8995 | − | 16.8995i | 0.785385 | − | 0.785385i | −0.195349 | − | 0.980734i | \(-0.562584\pi\) |
0.980734 | + | 0.195349i | \(0.0625838\pi\) | |||||||
\(464\) | −3.47748 | −0.161438 | ||||||||
\(465\) | 37.4272 | 1.73565 | ||||||||
\(466\) | −1.44169 | + | 1.44169i | −0.0667851 | + | 0.0667851i | ||||
\(467\) | 5.72210 | − | 9.91096i | 0.264787 | − | 0.458625i | −0.702721 | − | 0.711466i | \(-0.748032\pi\) |
0.967508 | + | 0.252841i | \(0.0813650\pi\) | |||||||
\(468\) | 1.44358 | + | 3.30395i | 0.0667297 | + | 0.152725i | ||||
\(469\) | 9.82463 | − | 10.0479i | 0.453659 | − | 0.463967i | ||||
\(470\) | 16.2616 | − | 4.35727i | 0.750089 | − | 0.200986i | ||||
\(471\) | −0.913980 | − | 1.58306i | −0.0421140 | − | 0.0729436i | ||||
\(472\) | 3.22148 | − | 5.57976i | 0.148280 | − | 0.256829i | ||||
\(473\) | 2.59914 | − | 9.70012i | 0.119509 | − | 0.446012i | ||||
\(474\) | 10.8010 | − | 10.8010i | 0.496107 | − | 0.496107i | ||||
\(475\) | 19.8682 | − | 74.1490i | 0.911614 | − | 3.40219i | ||||
\(476\) | 8.55162 | + | 14.4349i | 0.391963 | + | 0.661624i | ||||
\(477\) | 6.19883 | + | 10.7367i | 0.283825 | + | 0.491599i | ||||
\(478\) | −8.90173 | + | 5.13942i | −0.407156 | + | 0.235071i | ||||
\(479\) | 23.3756 | + | 23.3756i | 1.06806 | + | 1.06806i | 0.997508 | + | 0.0705478i | \(0.0224747\pi\) |
0.0705478 | + | 0.997508i | \(0.477525\pi\) | |||||||
\(480\) | −3.79467 | + | 2.19085i | −0.173202 | + | 0.0999983i | ||||
\(481\) | −0.404778 | − | 0.507024i | −0.0184563 | − | 0.0231183i | ||||
\(482\) | 10.9802i | 0.500136i | ||||||||
\(483\) | −4.51959 | + | 2.67752i | −0.205648 | + | 0.121831i | ||||
\(484\) | 0.291507 | − | 0.504905i | 0.0132503 | − | 0.0229502i | ||||
\(485\) | 10.2088i | 0.463559i | ||||||||
\(486\) | −0.965926 | − | 0.258819i | −0.0438153 | − | 0.0117403i | ||||
\(487\) | −36.3247 | + | 9.73317i | −1.64603 | + | 0.441052i | −0.958497 | − | 0.285102i | \(-0.907972\pi\) |
−0.687532 | + | 0.726154i | \(0.741306\pi\) | |||||||
\(488\) | 4.03747 | + | 4.03747i | 0.182768 | + | 0.182768i | ||||
\(489\) | 8.10494 | + | 8.10494i | 0.366518 | + | 0.366518i | ||||
\(490\) | −30.6642 | + | 0.688960i | −1.38527 | + | 0.0311241i | ||||
\(491\) | −14.7584 | − | 8.52076i | −0.666036 | − | 0.384536i | 0.128537 | − | 0.991705i | \(-0.458972\pi\) |
−0.794573 | + | 0.607168i | \(0.792305\pi\) | |||||||
\(492\) | 0.0111173 | + | 0.00297886i | 0.000501205 | + | 0.000134298i | ||||
\(493\) | −11.0261 | − | 19.0978i | −0.496592 | − | 0.860122i | ||||
\(494\) | 2.17218 | − | 19.3709i | 0.0977308 | − | 0.871540i | ||||
\(495\) | −12.2474 | − | 7.07106i | −0.550481 | − | 0.317820i | ||||
\(496\) | 2.21076 | + | 8.25065i | 0.0992658 | + | 0.370465i | ||||
\(497\) | 15.9458 | + | 4.08128i | 0.715268 | + | 0.183070i | ||||
\(498\) | −1.44148 | + | 0.832238i | −0.0645942 | + | 0.0372935i | ||||
\(499\) | −0.641641 | + | 0.171927i | −0.0287238 | + | 0.00769651i | −0.273152 | − | 0.961971i | \(-0.588066\pi\) |
0.244429 | + | 0.969667i | \(0.421400\pi\) | |||||||
\(500\) | −10.4327 | − | 38.9354i | −0.466565 | − | 1.74125i | ||||
\(501\) | −2.61268 | − | 9.75066i | −0.116726 | − | 0.435628i | ||||
\(502\) | 12.6338 | − | 3.38521i | 0.563873 | − | 0.151089i | ||||
\(503\) | 28.3846 | − | 16.3878i | 1.26561 | − | 0.730698i | 0.291452 | − | 0.956585i | \(-0.405862\pi\) |
0.974153 | + | 0.225888i | \(0.0725282\pi\) | |||||||
\(504\) | −1.89172 | − | 1.84970i | −0.0842641 | − | 0.0823921i | ||||
\(505\) | 9.43763 | + | 35.2217i | 0.419969 | + | 1.56735i | ||||
\(506\) | −5.54976 | − | 3.20415i | −0.246717 | − | 0.142442i | ||||
\(507\) | −12.4184 | + | 3.84499i | −0.551519 | + | 0.170762i | ||||
\(508\) | 0.350830 | + | 0.607656i | 0.0155656 | + | 0.0269604i | ||||
\(509\) | 29.7239 | + | 7.96450i | 1.31749 | + | 0.353020i | 0.848036 | − | 0.529938i | \(-0.177785\pi\) |
0.469452 | + | 0.882958i | \(0.344451\pi\) | |||||||
\(510\) | −24.0637 | − | 13.8932i | −1.06556 | − | 0.615201i | ||||
\(511\) | 9.22030 | + | 2.35990i | 0.407882 | + | 0.104396i | ||||
\(512\) | −0.707107 | − | 0.707107i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | 3.82276 | + | 3.82276i | 0.168779 | + | 0.168779i | ||||
\(514\) | −0.0624109 | + | 0.0167230i | −0.00275283 | + | 0.000737618i | ||||
\(515\) | 10.0902 | + | 2.70366i | 0.444627 | + | 0.119137i | ||||
\(516\) | 3.11145i | 0.136974i | ||||||||
\(517\) | −6.20034 | + | 10.7393i | −0.272691 | + | 0.472314i | ||||
\(518\) | 0.414941 | + | 0.233392i | 0.0182315 | + | 0.0102547i | ||||
\(519\) | − | 10.9280i | − | 0.479687i | ||||||
\(520\) | −6.32536 | − | 14.4769i | −0.277386 | − | 0.634855i | ||||
\(521\) | −25.3802 | + | 14.6533i | −1.11193 | + | 0.641972i | −0.939328 | − | 0.343020i | \(-0.888550\pi\) |
−0.172600 | + | 0.984992i | \(0.555217\pi\) | |||||||
\(522\) | 2.45895 | + | 2.45895i | 0.107625 | + | 0.107625i | ||||
\(523\) | 30.5087 | − | 17.6142i | 1.33405 | − | 0.770217i | 0.348136 | − | 0.937444i | \(-0.386815\pi\) |
0.985918 | + | 0.167227i | \(0.0534814\pi\) | |||||||
\(524\) | −3.56644 | − | 6.17726i | −0.155801 | − | 0.269855i | ||||
\(525\) | 32.3218 | − | 19.1482i | 1.41064 | − | 0.835697i | ||||
\(526\) | 1.03501 | − | 3.86273i | 0.0451288 | − | 0.168423i | ||||
\(527\) | −38.3017 | + | 38.3017i | −1.66845 | + | 1.66845i | ||||
\(528\) | 0.835348 | − | 3.11756i | 0.0363538 | − | 0.135674i | ||||
\(529\) | −9.52887 | + | 16.5045i | −0.414299 | + | 0.717587i | ||||
\(530\) | −27.1615 | − | 47.0451i | −1.17982 | − | 2.04351i | ||||
\(531\) | −6.22342 | + | 1.66756i | −0.270073 | + | 0.0723659i | ||||
\(532\) | 3.85696 | + | 13.7736i | 0.167220 | + | 0.597163i | ||||
\(533\) | −0.0151404 | + | 0.0386373i | −0.000655803 | + | 0.00167357i | ||||
\(534\) | 8.91365 | − | 15.4389i | 0.385731 | − | 0.668106i | ||||
\(535\) | 13.2135 | − | 13.2135i | 0.571270 | − | 0.571270i | ||||
\(536\) | −5.31148 | −0.229421 | ||||||||
\(537\) | 10.0398 | 0.433250 | ||||||||
\(538\) | 3.03824 | − | 3.03824i | 0.130988 | − | 0.130988i | ||||
\(539\) | 15.6126 | − | 16.3303i | 0.672483 | − | 0.703396i | ||||
\(540\) | 4.23240 | + | 1.13407i | 0.182134 | + | 0.0488026i | ||||
\(541\) | 0.956053 | + | 3.56804i | 0.0411039 | + | 0.153402i | 0.983428 | − | 0.181301i | \(-0.0580308\pi\) |
−0.942324 | + | 0.334703i | \(0.891364\pi\) | |||||||
\(542\) | 6.60238 | + | 3.81188i | 0.283596 | + | 0.163734i | ||||
\(543\) | − | 0.280875i | − | 0.0120535i | ||||||
\(544\) | 1.64129 | − | 6.12537i | 0.0703696 | − | 0.262623i | ||||
\(545\) | −82.0335 | −3.51393 | ||||||||
\(546\) | 7.38772 | − | 6.03503i | 0.316165 | − | 0.258275i | ||||
\(547\) | −21.9784 | −0.939729 | −0.469864 | − | 0.882739i | \(-0.655697\pi\) | ||||
−0.469864 | + | 0.882739i | \(0.655697\pi\) | |||||||
\(548\) | −0.234204 | + | 0.874063i | −0.0100047 | + | 0.0373381i | ||||
\(549\) | − | 5.70985i | − | 0.243690i | ||||||
\(550\) | 39.6890 | + | 22.9145i | 1.69235 | + | 0.977076i | ||||
\(551\) | −4.86579 | − | 18.1594i | −0.207290 | − | 0.773615i | ||||
\(552\) | 1.91786 | + | 0.513888i | 0.0816294 | + | 0.0218725i | ||||
\(553\) | −35.2240 | − | 19.8124i | −1.49788 | − | 0.842511i | ||||
\(554\) | 0.904278 | − | 0.904278i | 0.0384191 | − | 0.0384191i | ||||
\(555\) | −0.788443 | −0.0334676 | ||||||||
\(556\) | −20.5435 | −0.871239 | ||||||||
\(557\) | −5.80587 | + | 5.80587i | −0.246002 | + | 0.246002i | −0.819328 | − | 0.573325i | \(-0.805653\pi\) |
0.573325 | + | 0.819328i | \(0.305653\pi\) | |||||||
\(558\) | 4.27085 | − | 7.39733i | 0.180800 | − | 0.313154i | ||||
\(559\) | −11.1486 | − | 1.25016i | −0.471536 | − | 0.0528760i | ||||
\(560\) | 8.28898 | + | 8.10484i | 0.350273 | + | 0.342492i | ||||
\(561\) | 19.7698 | − | 5.29731i | 0.834683 | − | 0.223653i | ||||
\(562\) | 5.07262 | + | 8.78604i | 0.213976 | + | 0.370617i | ||||
\(563\) | 4.82462 | − | 8.35649i | 0.203334 | − | 0.352184i | −0.746267 | − | 0.665647i | \(-0.768156\pi\) |
0.949601 | + | 0.313463i | \(0.101489\pi\) | |||||||
\(564\) | 0.994423 | − | 3.71124i | 0.0418727 | − | 0.156271i | ||||
\(565\) | 24.0540 | − | 24.0540i | 1.01196 | − | 1.01196i | ||||
\(566\) | 1.12281 | − | 4.19037i | 0.0471950 | − | 0.176134i | ||||
\(567\) | 0.0297166 | + | 2.64558i | 0.00124798 | + | 0.111104i | ||||
\(568\) | −3.11062 | − | 5.38775i | −0.130519 | − | 0.226065i | ||||
\(569\) | 21.0536 | − | 12.1553i | 0.882613 | − | 0.509577i | 0.0110936 | − | 0.999938i | \(-0.496469\pi\) |
0.871519 | + | 0.490362i | \(0.163135\pi\) | |||||||
\(570\) | −16.7502 | − | 16.7502i | −0.701590 | − | 0.701590i | ||||
\(571\) | 17.5708 | − | 10.1445i | 0.735315 | − | 0.424534i | −0.0850485 | − | 0.996377i | \(-0.527105\pi\) |
0.820363 | + | 0.571843i | \(0.193771\pi\) | |||||||
\(572\) | 10.8349 | + | 4.24574i | 0.453029 | + | 0.177523i | ||||
\(573\) | 3.98098i | 0.166308i | ||||||||
\(574\) | −0.000342022 | − | 0.0304492i | −1.42757e−5 | − | 0.00127093i | ||||
\(575\) | −14.0965 | + | 24.4158i | −0.587864 | + | 1.01821i | ||||
\(576\) | 1.00000i | 0.0416667i | ||||||||
\(577\) | −31.4207 | − | 8.41915i | −1.30806 | − | 0.350494i | −0.463568 | − | 0.886061i | \(-0.653431\pi\) |
−0.844492 | + | 0.535568i | \(0.820098\pi\) | |||||||
\(578\) | 22.4230 | − | 6.00821i | 0.932672 | − | 0.249909i | ||||
\(579\) | 17.3308 | + | 17.3308i | 0.720243 | + | 0.720243i | ||||
\(580\) | −10.7744 | − | 10.7744i | −0.447382 | − | 0.447382i | ||||
\(581\) | 3.14873 | + | 3.07878i | 0.130631 | + | 0.127729i | ||||
\(582\) | 2.01773 | + | 1.16494i | 0.0836375 | + | 0.0482882i | ||||
\(583\) | 38.6505 | + | 10.3564i | 1.60074 | + | 0.428917i | ||||
\(584\) | −1.79864 | − | 3.11534i | −0.0744283 | − | 0.128914i | ||||
\(585\) | −5.76403 | + | 14.7094i | −0.238313 | + | 0.608161i | ||||
\(586\) | 15.7444 | + | 9.09005i | 0.650396 | + | 0.375506i | ||||
\(587\) | 9.53490 | + | 35.5847i | 0.393548 | + | 1.46874i | 0.824240 | + | 0.566241i | \(0.191603\pi\) |
−0.430692 | + | 0.902499i | \(0.641731\pi\) | |||||||
\(588\) | −3.36295 | + | 6.13927i | −0.138686 | + | 0.253179i | ||||
\(589\) | −39.9915 | + | 23.0891i | −1.64782 | + | 0.951370i | ||||
\(590\) | 27.2692 | − | 7.30676i | 1.12265 | − | 0.300814i | ||||
\(591\) | 0.978025 | + | 3.65004i | 0.0402306 | + | 0.150142i | ||||
\(592\) | −0.0465718 | − | 0.173808i | −0.00191409 | − | 0.00714348i | ||||
\(593\) | −32.4894 | + | 8.70551i | −1.33418 | + | 0.357493i | −0.854272 | − | 0.519826i | \(-0.825997\pi\) |
−0.479908 | + | 0.877319i | \(0.659330\pi\) | |||||||
\(594\) | −2.79513 | + | 1.61377i | −0.114685 | + | 0.0662137i | ||||
\(595\) | −18.2285 | + | 71.2201i | −0.747296 | + | 2.91974i | ||||
\(596\) | 1.87166 | + | 6.98514i | 0.0766662 | + | 0.286122i | ||||
\(597\) | −3.09532 | − | 1.78708i | −0.126683 | − | 0.0731405i | ||||
\(598\) | −2.61189 | + | 6.66538i | −0.106808 | + | 0.272568i | ||||
\(599\) | −4.56535 | − | 7.90742i | −0.186535 | − | 0.323088i | 0.757558 | − | 0.652768i | \(-0.226393\pi\) |
−0.944093 | + | 0.329680i | \(0.893059\pi\) | |||||||
\(600\) | −13.7155 | − | 3.67507i | −0.559934 | − | 0.150034i | ||||
\(601\) | 39.0133 | + | 22.5243i | 1.59139 | + | 0.918787i | 0.993070 | + | 0.117527i | \(0.0374968\pi\) |
0.598316 | + | 0.801260i | \(0.295837\pi\) | |||||||
\(602\) | 7.92718 | − | 2.21980i | 0.323088 | − | 0.0904724i | ||||
\(603\) | 3.75578 | + | 3.75578i | 0.152947 | + | 0.152947i | ||||
\(604\) | 2.39568 | + | 2.39568i | 0.0974786 | + | 0.0974786i | ||||
\(605\) | 2.46755 | − | 0.661179i | 0.100320 | − | 0.0268807i | ||||
\(606\) | 8.03835 | + | 2.15387i | 0.326536 | + | 0.0874950i | ||||
\(607\) | 19.4589i | 0.789811i | 0.918722 | + | 0.394906i | \(0.129223\pi\) | ||||
−0.918722 | + | 0.394906i | \(0.870777\pi\) | |||||||
\(608\) | 2.70310 | − | 4.68191i | 0.109625 | − | 0.189877i | ||||
\(609\) | 4.51049 | − | 8.01907i | 0.182774 | − | 0.324949i | ||||
\(610\) | 25.0189i | 1.01298i | ||||||||
\(611\) | 12.8982 | + | 5.05426i | 0.521803 | + | 0.204473i | ||||
\(612\) | −5.49185 | + | 3.17072i | −0.221995 | + | 0.128169i | ||||
\(613\) | −10.2738 | − | 10.2738i | −0.414956 | − | 0.414956i | 0.468505 | − | 0.883461i | \(-0.344793\pi\) |
−0.883461 | + | 0.468505i | \(0.844793\pi\) | |||||||
\(614\) | −9.46302 | + | 5.46348i | −0.381896 | + | 0.220488i | ||||
\(615\) | 0.0252155 | + | 0.0436746i | 0.00101679 | + | 0.00176113i | ||||
\(616\) | −8.53872 | + | 0.0959114i | −0.344035 | + | 0.00386438i | ||||
\(617\) | 4.14330 | − | 15.4630i | 0.166803 | − | 0.622518i | −0.831000 | − | 0.556272i | \(-0.812231\pi\) |
0.997803 | − | 0.0662456i | \(-0.0211021\pi\) | |||||||
\(618\) | 1.68576 | − | 1.68576i | 0.0678114 | − | 0.0678114i | ||||
\(619\) | 11.1300 | − | 41.5376i | 0.447351 | − | 1.66954i | −0.262301 | − | 0.964986i | \(-0.584481\pi\) |
0.709652 | − | 0.704552i | \(-0.248852\pi\) | |||||||
\(620\) | −18.7136 | + | 32.4129i | −0.751557 | + | 1.30174i | ||||
\(621\) | −0.992755 | − | 1.71950i | −0.0398379 | − | 0.0690013i | ||||
\(622\) | −11.1453 | + | 2.98638i | −0.446887 | + | 0.119743i | ||||
\(623\) | −45.6937 | − | 11.6951i | −1.83068 | − | 0.468555i | ||||
\(624\) | −3.58309 | − | 0.401793i | −0.143439 | − | 0.0160846i | ||||
\(625\) | 52.8126 | − | 91.4740i | 2.11250 | − | 3.65896i | ||||
\(626\) | 12.8128 | − | 12.8128i | 0.512101 | − | 0.512101i | ||||
\(627\) | 17.4487 | 0.696835 | ||||||||
\(628\) | 1.82796 | 0.0729436 | ||||||||
\(629\) | 0.806864 | − | 0.806864i | 0.0321718 | − | 0.0321718i | ||||
\(630\) | −0.130210 | − | 11.5922i | −0.00518767 | − | 0.461843i | ||||
\(631\) | −4.52314 | − | 1.21197i | −0.180063 | − | 0.0482478i | 0.167661 | − | 0.985845i | \(-0.446379\pi\) |
−0.347724 | + | 0.937597i | \(0.613045\pi\) | |||||||
\(632\) | 3.95344 | + | 14.7544i | 0.157259 | + | 0.586900i | ||||
\(633\) | −13.3699 | − | 7.71910i | −0.531405 | − | 0.306807i | ||||
\(634\) | − | 24.8135i | − | 0.985468i | ||||||
\(635\) | −0.795731 | + | 2.96971i | −0.0315776 | + | 0.117849i | ||||
\(636\) | −12.3977 | −0.491599 | ||||||||
\(637\) | −20.6464 | − | 14.5165i | −0.818039 | − | 0.575163i | ||||
\(638\) | 11.2237 | 0.444350 | ||||||||
\(639\) | −1.61017 | + | 6.00925i | −0.0636975 | + | 0.237722i | ||||
\(640\) | − | 4.38171i | − | 0.173202i | ||||||
\(641\) | 6.21840 | + | 3.59019i | 0.245612 | + | 0.141804i | 0.617753 | − | 0.786372i | \(-0.288043\pi\) |
−0.372141 | + | 0.928176i | \(0.621376\pi\) | |||||||
\(642\) | −1.10379 | − | 4.11940i | −0.0435631 | − | 0.162580i | ||||
\(643\) | −29.2307 | − | 7.83235i | −1.15275 | − | 0.308878i | −0.368682 | − | 0.929556i | \(-0.620191\pi\) |
−0.784066 | + | 0.620678i | \(0.786858\pi\) | |||||||
\(644\) | −0.0590026 | − | 5.25284i | −0.00232503 | − | 0.206991i | ||||
\(645\) | −9.64030 | + | 9.64030i | −0.379586 | + | 0.379586i | ||||
\(646\) | 34.2832 | 1.34885 | ||||||||
\(647\) | 18.5164 | 0.727956 | 0.363978 | − | 0.931408i | \(-0.381418\pi\) | ||||
0.363978 | + | 0.931408i | \(0.381418\pi\) | |||||||
\(648\) | 0.707107 | − | 0.707107i | 0.0277778 | − | 0.0277778i | ||||
\(649\) | −10.3974 | + | 18.0089i | −0.408135 | + | 0.706910i | ||||
\(650\) | 18.6789 | − | 47.6674i | 0.732647 | − | 1.86967i | ||||
\(651\) | −21.8935 | − | 5.60356i | −0.858074 | − | 0.219621i | ||||
\(652\) | −11.0716 | + | 2.96661i | −0.433595 | + | 0.116182i | ||||
\(653\) | 4.68214 | + | 8.10970i | 0.183226 | + | 0.317357i | 0.942977 | − | 0.332857i | \(-0.108013\pi\) |
−0.759751 | + | 0.650214i | \(0.774679\pi\) | |||||||
\(654\) | −9.36090 | + | 16.2136i | −0.366040 | + | 0.634000i | ||||
\(655\) | 8.08919 | − | 30.1893i | 0.316071 | − | 1.17959i | ||||
\(656\) | −0.00813841 | + | 0.00813841i | −0.000317751 | + | 0.000317751i | ||||
\(657\) | −0.931045 | + | 3.47471i | −0.0363235 | + | 0.135561i | ||||
\(658\) | −10.1647 | + | 0.114176i | −0.396263 | + | 0.00445104i | ||||
\(659\) | 16.2208 | + | 28.0953i | 0.631874 | + | 1.09444i | 0.987168 | + | 0.159683i | \(0.0510473\pi\) |
−0.355294 | + | 0.934754i | \(0.615619\pi\) | |||||||
\(660\) | 12.2474 | − | 7.07106i | 0.476731 | − | 0.275241i | ||||
\(661\) | −2.95795 | − | 2.95795i | −0.115051 | − | 0.115051i | 0.647238 | − | 0.762288i | \(-0.275924\pi\) |
−0.762288 | + | 0.647238i | \(0.775924\pi\) | |||||||
\(662\) | −11.1669 | + | 6.44721i | −0.434014 | + | 0.250578i | ||||
\(663\) | −9.15441 | − | 20.9518i | −0.355528 | − | 0.813701i | ||||
\(664\) | − | 1.66448i | − | 0.0645942i | ||||||
\(665\) | −30.7252 | + | 54.6255i | −1.19147 | + | 2.11829i | ||||
\(666\) | −0.0899699 | + | 0.155832i | −0.00348626 | + | 0.00603838i | ||||
\(667\) | 6.90457i | 0.267346i | ||||||||
\(668\) | 9.75066 | + | 2.61268i | 0.377264 | + | 0.101088i | ||||
\(669\) | −21.5790 | + | 5.78209i | −0.834294 | + | 0.223548i | ||||
\(670\) | −16.4567 | − | 16.4567i | −0.635780 | − | 0.635780i | ||||
\(671\) | −13.0311 | − | 13.0311i | −0.503059 | − | 0.503059i | ||||
\(672\) | 2.54775 | − | 0.713432i | 0.0982815 | − | 0.0275212i | ||||
\(673\) | 24.5261 | + | 14.1601i | 0.945412 | + | 0.545834i | 0.891653 | − | 0.452720i | \(-0.149546\pi\) |
0.0537590 | + | 0.998554i | \(0.482880\pi\) | |||||||
\(674\) | 9.94312 | + | 2.66425i | 0.382995 | + | 0.102623i | ||||
\(675\) | 7.09968 | + | 12.2970i | 0.273267 | + | 0.473312i | ||||
\(676\) | 2.87932 | − | 12.6771i | 0.110743 | − | 0.487582i | ||||
\(677\) | 23.0893 | + | 13.3306i | 0.887395 | + | 0.512337i | 0.873089 | − | 0.487560i | \(-0.162113\pi\) |
0.0143051 | + | 0.999898i | \(0.495446\pi\) | |||||||
\(678\) | −2.00935 | − | 7.49899i | −0.0771686 | − | 0.287997i | ||||
\(679\) | 1.52845 | − | 5.97176i | 0.0586566 | − | 0.229175i | ||||
\(680\) | 24.0637 | − | 13.8932i | 0.922801 | − | 0.532779i | ||||
\(681\) | −22.3281 | + | 5.98281i | −0.855616 | + | 0.229262i | ||||
\(682\) | −7.13529 | − | 26.6293i | −0.273224 | − | 1.01969i | ||||
\(683\) | 7.10257 | + | 26.5071i | 0.271772 | + | 1.01427i | 0.957974 | + | 0.286856i | \(0.0926102\pi\) |
−0.686201 | + | 0.727412i | \(0.740723\pi\) | |||||||
\(684\) | −5.22199 | + | 1.39923i | −0.199668 | + | 0.0535008i | ||||
\(685\) | −3.43378 | + | 1.98250i | −0.131198 | + | 0.0757473i | ||||
\(686\) | 18.0405 | + | 4.18799i | 0.688791 | + | 0.159898i | ||||
\(687\) | 3.69250 | + | 13.7806i | 0.140877 | + | 0.525762i | ||||
\(688\) | −2.69459 | − | 1.55572i | −0.102730 | − | 0.0593114i | ||||
\(689\) | 4.98130 | − | 44.4220i | 0.189772 | − | 1.69234i | ||||
\(690\) | 4.34996 | + | 7.53436i | 0.165600 | + | 0.286828i | ||||
\(691\) | 17.7212 | + | 4.74839i | 0.674148 | + | 0.180637i | 0.579623 | − | 0.814885i | \(-0.303200\pi\) |
0.0945254 | + | 0.995522i | \(0.469867\pi\) | |||||||
\(692\) | 9.46394 | + | 5.46401i | 0.359765 | + | 0.207710i | ||||
\(693\) | 6.10560 | + | 5.96997i | 0.231933 | + | 0.226780i | ||||
\(694\) | −19.2493 | − | 19.2493i | −0.730694 | − | 0.730694i | ||||
\(695\) | −63.6507 | − | 63.6507i | −2.41441 | − | 2.41441i | ||||
\(696\) | −3.35899 | + | 0.900038i | −0.127322 | + | 0.0341158i | ||||
\(697\) | −0.0704996 | − | 0.0188903i | −0.00267036 | − | 0.000715522i | ||||
\(698\) | 21.2099i | 0.802808i | ||||||||
\(699\) | −1.01943 | + | 1.76570i | −0.0385584 | + | 0.0667851i | ||||
\(700\) | 0.421957 | + | 37.5656i | 0.0159485 | + | 1.41985i | ||||
\(701\) | 41.7640i | 1.57740i | 0.614775 | + | 0.788702i | \(0.289247\pi\) | ||||
−0.614775 | + | 0.788702i | \(0.710753\pi\) | |||||||
\(702\) | 2.24952 | + | 2.81774i | 0.0849026 | + | 0.106349i | ||||
\(703\) | 0.842462 | − | 0.486396i | 0.0317740 | − | 0.0183448i | ||||
\(704\) | 2.28221 | + | 2.28221i | 0.0860141 | + | 0.0860141i | ||||
\(705\) | 14.5797 | − | 8.41760i | 0.549104 | − | 0.317025i | ||||
\(706\) | 1.78504 | + | 3.09178i | 0.0671808 | + | 0.116361i | ||||
\(707\) | −0.247299 | − | 22.0163i | −0.00930064 | − | 0.828009i | ||||
\(708\) | 1.66756 | − | 6.22342i | 0.0626707 | − | 0.233890i | ||||
\(709\) | 6.08452 | − | 6.08452i | 0.228509 | − | 0.228509i | −0.583561 | − | 0.812070i | \(-0.698341\pi\) |
0.812070 | + | 0.583561i | \(0.198341\pi\) | |||||||
\(710\) | 7.05531 | − | 26.3308i | 0.264781 | − | 0.988176i | ||||
\(711\) | 7.63746 | − | 13.2285i | 0.286427 | − | 0.496107i | ||||
\(712\) | 8.91365 | + | 15.4389i | 0.334053 | + | 0.578597i | ||||
\(713\) | 16.3818 | − | 4.38948i | 0.613502 | − | 0.164387i | ||||
\(714\) | 11.9963 | + | 11.7298i | 0.448949 | + | 0.438975i | ||||
\(715\) | 20.4153 | + | 46.7248i | 0.763490 | + | 1.74741i | ||||
\(716\) | −5.01990 | + | 8.69473i | −0.187603 | + | 0.324937i | ||||
\(717\) | −7.26823 | + | 7.26823i | −0.271437 | + | 0.271437i | ||||
\(718\) | −18.1749 | −0.678281 | ||||||||
\(719\) | −17.1045 | −0.637891 | −0.318946 | − | 0.947773i | \(-0.603329\pi\) | ||||
−0.318946 | + | 0.947773i | \(0.603329\pi\) | |||||||
\(720\) | −3.09834 | + | 3.09834i | −0.115468 | + | 0.115468i | ||||
\(721\) | −5.49758 | − | 3.09222i | −0.204741 | − | 0.115160i | ||||
\(722\) | 9.87857 | + | 2.64696i | 0.367642 | + | 0.0985095i | ||||
\(723\) | 2.84189 | + | 10.6061i | 0.105691 | + | 0.394444i | ||||
\(724\) | 0.243245 | + | 0.140438i | 0.00904013 | + | 0.00521932i | ||||
\(725\) | − | 49.3780i | − | 1.83385i | ||||||
\(726\) | 0.150895 | − | 0.563149i | 0.00560025 | − | 0.0209004i | ||||
\(727\) | 45.6775 | 1.69409 | 0.847043 | − | 0.531525i | \(-0.178381\pi\) | ||||
0.847043 | + | 0.531525i | \(0.178381\pi\) | |||||||
\(728\) | 1.53263 | + | 9.41547i | 0.0568029 | + | 0.348961i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 4.07957 | − | 15.2252i | 0.150992 | − | 0.563508i | ||||
\(731\) | − | 19.7311i | − | 0.729780i | ||||||
\(732\) | 4.94487 | + | 2.85492i | 0.182768 | + | 0.105521i | ||||
\(733\) | 8.90463 | + | 33.2325i | 0.328900 | + | 1.22747i | 0.910333 | + | 0.413877i | \(0.135826\pi\) |
−0.581433 | + | 0.813594i | \(0.697508\pi\) | |||||||
\(734\) | 0.342684 | + | 0.0918218i | 0.0126487 | + | 0.00338920i | ||||
\(735\) | −29.4410 | + | 8.60197i | −1.08595 | + | 0.317288i | ||||
\(736\) | −1.40397 | + | 1.40397i | −0.0517510 | + | 0.0517510i | ||||
\(737\) | 17.1430 | 0.631470 | ||||||||
\(738\) | 0.0115094 | 0.000423669 | ||||||||
\(739\) | 1.55885 | − | 1.55885i | 0.0573432 | − | 0.0573432i | −0.677854 | − | 0.735197i | \(-0.737090\pi\) |
0.735197 | + | 0.677854i | \(0.237090\pi\) | |||||||
\(740\) | 0.394222 | − | 0.682812i | 0.0144919 | − | 0.0251007i | ||||
\(741\) | −2.91541 | − | 19.2731i | −0.107100 | − | 0.708015i | ||||
\(742\) | 8.84489 | + | 31.5861i | 0.324706 | + | 1.15956i | ||||
\(743\) | −22.1382 | + | 5.93191i | −0.812172 | + | 0.217621i | −0.640921 | − | 0.767607i | \(-0.721447\pi\) |
−0.171251 | + | 0.985227i | \(0.554781\pi\) | |||||||
\(744\) | 4.27085 | + | 7.39733i | 0.156577 | + | 0.271199i | ||||
\(745\) | −15.8433 | + | 27.4413i | −0.580452 | + | 1.00537i | ||||
\(746\) | −5.48717 | + | 20.4784i | −0.200899 | + | 0.749767i | ||||
\(747\) | −1.17696 | + | 1.17696i | −0.0430628 | + | 0.0430628i | ||||
\(748\) | −5.29731 | + | 19.7698i | −0.193689 | + | 0.722857i | ||||
\(749\) | −9.70771 | + | 5.75109i | −0.354712 | + | 0.210140i | ||||
\(750\) | −20.1545 | − | 34.9086i | −0.735937 | − | 1.27468i | ||||
\(751\) | −32.6576 | + | 18.8548i | −1.19169 | + | 0.688023i | −0.958690 | − | 0.284453i | \(-0.908188\pi\) |
−0.233001 | + | 0.972476i | \(0.574855\pi\) | |||||||
\(752\) | 2.71681 | + | 2.71681i | 0.0990720 | + | 0.0990720i | ||||
\(753\) | 11.3271 | − | 6.53973i | 0.412784 | − | 0.238321i | ||||
\(754\) | −1.87530 | − | 12.3972i | −0.0682945 | − | 0.451479i | ||||
\(755\) | 14.8452i | 0.540273i | ||||||||
\(756\) | −2.30600 | − | 1.29706i | −0.0838685 | − | 0.0471735i | ||||
\(757\) | −14.6011 | + | 25.2898i | −0.530685 | + | 0.919173i | 0.468674 | + | 0.883371i | \(0.344732\pi\) |
−0.999359 | + | 0.0358019i | \(0.988601\pi\) | |||||||
\(758\) | 10.7287i | 0.389683i | ||||||||
\(759\) | −6.18995 | − | 1.65859i | −0.224681 | − | 0.0602031i | ||||
\(760\) | 22.8812 | − | 6.13101i | 0.829990 | − | 0.222395i | ||||
\(761\) | −21.3286 | − | 21.3286i | −0.773161 | − | 0.773161i | 0.205497 | − | 0.978658i | \(-0.434119\pi\) |
−0.978658 | + | 0.205497i | \(0.934119\pi\) | |||||||
\(762\) | 0.496149 | + | 0.496149i | 0.0179736 | + | 0.0179736i | ||||
\(763\) | 47.9864 | + | 12.2819i | 1.73722 | + | 0.444636i | ||||
\(764\) | −3.44763 | − | 1.99049i | −0.124731 | − | 0.0720133i | ||||
\(765\) | −26.8396 | − | 7.19164i | −0.970387 | − | 0.260014i | ||||
\(766\) | −7.33644 | − | 12.7071i | −0.265076 | − | 0.459126i | ||||
\(767\) | 21.6291 | + | 8.47555i | 0.780980 | + | 0.306034i | ||||
\(768\) | −0.866025 | − | 0.500000i | −0.0312500 | − | 0.0180422i | ||||
\(769\) | −5.78494 | − | 21.5897i | −0.208610 | − | 0.778544i | −0.988319 | − | 0.152401i | \(-0.951299\pi\) |
0.779709 | − | 0.626143i | \(-0.215367\pi\) | |||||||
\(770\) | −26.7530 | − | 26.1586i | −0.964110 | − | 0.942692i | ||||
\(771\) | −0.0559561 | + | 0.0323063i | −0.00201521 | + | 0.00116348i | ||||
\(772\) | −23.6743 | + | 6.34351i | −0.852056 | + | 0.228308i | ||||
\(773\) | 0.119844 | + | 0.447264i | 0.00431049 | + | 0.0160870i | 0.968048 | − | 0.250767i | \(-0.0806827\pi\) |
−0.963737 | + | 0.266854i | \(0.914016\pi\) | |||||||
\(774\) | 0.805301 | + | 3.00543i | 0.0289460 | + | 0.108028i | ||||
\(775\) | −117.154 | + | 31.3913i | −4.20830 | + | 1.12761i | ||||
\(776\) | −2.01773 | + | 1.16494i | −0.0724322 | + | 0.0418188i | ||||
\(777\) | 0.461209 | + | 0.118045i | 0.0165458 | + | 0.00423483i | ||||
\(778\) | 2.06397 | + | 7.70285i | 0.0739970 | + | 0.276161i | ||||
\(779\) | −0.0538862 | − | 0.0311112i | −0.00193067 | − | 0.00111467i | ||||
\(780\) | −9.85674 | − | 12.3465i | −0.352928 | − | 0.442076i | ||||
\(781\) | 10.0396 | + | 17.3891i | 0.359246 | + | 0.622232i | ||||
\(782\) | −12.1620 | − | 3.25879i | −0.434912 | − | 0.116534i | ||||
\(783\) | 3.01158 | + | 1.73874i | 0.107625 | + | 0.0621375i | ||||
\(784\) | −3.63529 | − | 5.98203i | −0.129832 | − | 0.213644i | ||||
\(785\) | 5.66363 | + | 5.66363i | 0.202144 | + | 0.202144i | ||||
\(786\) | −5.04371 | − | 5.04371i | −0.179903 | − | 0.179903i | ||||
\(787\) | −21.0823 | + | 5.64900i | −0.751505 | + | 0.201365i | −0.614185 | − | 0.789162i | \(-0.710515\pi\) |
−0.137319 | + | 0.990527i | \(0.543849\pi\) | |||||||
\(788\) | −3.65004 | − | 0.978025i | −0.130027 | − | 0.0348407i | ||||
\(789\) | − | 3.99899i | − | 0.142368i | ||||||
\(790\) | −33.4651 | + | 57.9633i | −1.19064 | + | 2.06224i | ||||
\(791\) | −17.6720 | + | 10.4693i | −0.628344 | + | 0.372247i | ||||
\(792\) | − | 3.22754i | − | 0.114685i | ||||||
\(793\) | −12.2163 | + | 16.5709i | −0.433813 | + | 0.588448i | ||||
\(794\) | −18.6261 | + | 10.7538i | −0.661015 | + | 0.381637i | ||||
\(795\) | −38.4121 | − | 38.4121i | −1.36234 | − | 1.36234i | ||||
\(796\) | 3.09532 | − | 1.78708i | 0.109711 | − | 0.0633415i | ||||
\(797\) | −8.23632 | − | 14.2657i | −0.291745 | − | 0.505318i | 0.682477 | − | 0.730907i | \(-0.260903\pi\) |
−0.974223 | + | 0.225589i | \(0.927569\pi\) | |||||||
\(798\) | 7.29042 | + | 12.3061i | 0.258078 | + | 0.435630i | ||||
\(799\) | −6.30608 | + | 23.5346i | −0.223093 | + | 0.832595i | ||||
\(800\) | 10.0405 | − | 10.0405i | 0.354984 | − | 0.354984i | ||||
\(801\) | 4.61404 | − | 17.2198i | 0.163029 | − | 0.608433i | ||||
\(802\) | 10.8874 | − | 18.8576i | 0.384448 | − | 0.665884i | ||||
\(803\) | 5.80518 | + | 10.0549i | 0.204860 | + | 0.354828i | ||||
\(804\) | −5.13050 | + | 1.37471i | −0.180939 | + | 0.0484824i | ||||
\(805\) | 16.0922 | − | 16.4579i | 0.567177 | − | 0.580063i | ||||
\(806\) | −28.2213 | + | 12.3307i | −0.994054 | + | 0.434329i | ||||
\(807\) | 2.14836 | − | 3.72107i | 0.0756259 | − | 0.130988i | ||||
\(808\) | −5.88448 | + | 5.88448i | −0.207015 | + | 0.207015i | ||||
\(809\) | 17.0828 | 0.600601 | 0.300300 | − | 0.953845i | \(-0.402913\pi\) | ||||
0.300300 | + | 0.953845i | \(0.402913\pi\) | |||||||
\(810\) | 4.38171 | 0.153958 | ||||||||
\(811\) | 18.8226 | − | 18.8226i | 0.660952 | − | 0.660952i | −0.294653 | − | 0.955604i | \(-0.595204\pi\) |
0.955604 | + | 0.294653i | \(0.0952040\pi\) | |||||||
\(812\) | 4.68948 | + | 7.91573i | 0.164568 | + | 0.277788i | ||||
\(813\) | 7.36399 | + | 1.97318i | 0.258267 | + | 0.0692023i | ||||
\(814\) | 0.150312 | + | 0.560973i | 0.00526844 | + | 0.0196621i | ||||
\(815\) | −43.4949 | − | 25.1118i | −1.52356 | − | 0.879629i | ||||
\(816\) | − | 6.34145i | − | 0.221995i | ||||||
\(817\) | 4.35362 | − | 16.2479i | 0.152314 | − | 0.568444i | ||||
\(818\) | −32.3297 | −1.13038 | ||||||||
\(819\) | 5.57401 | − | 7.74147i | 0.194772 | − | 0.270509i | ||||
\(820\) | −0.0504310 | −0.00176113 | ||||||||
\(821\) | −0.988460 | + | 3.68898i | −0.0344975 | + | 0.128746i | −0.981027 | − | 0.193870i | \(-0.937896\pi\) |
0.946530 | + | 0.322617i | \(0.104563\pi\) | |||||||
\(822\) | 0.904896i | 0.0315619i | ||||||||
\(823\) | 15.7907 | + | 9.11678i | 0.550430 | + | 0.317791i | 0.749295 | − | 0.662236i | \(-0.230392\pi\) |
−0.198865 | + | 0.980027i | \(0.563726\pi\) | |||||||
\(824\) | 0.617033 | + | 2.30280i | 0.0214954 | + | 0.0802217i | ||||
\(825\) | 44.2674 | + | 11.8614i | 1.54119 | + | 0.412961i | ||||
\(826\) | −17.0454 | + | 0.191463i | −0.593085 | + | 0.00666184i | ||||
\(827\) | 0.844609 | − | 0.844609i | 0.0293699 | − | 0.0293699i | −0.692269 | − | 0.721639i | \(-0.743389\pi\) |
0.721639 | + | 0.692269i | \(0.243389\pi\) | |||||||
\(828\) | 1.98551 | 0.0690013 | ||||||||
\(829\) | 22.0384 | 0.765426 | 0.382713 | − | 0.923867i | \(-0.374990\pi\) | ||||
0.382713 | + | 0.923867i | \(0.374990\pi\) | |||||||
\(830\) | 5.15710 | − | 5.15710i | 0.179006 | − | 0.179006i | ||||
\(831\) | 0.639421 | − | 1.10751i | 0.0221813 | − | 0.0384191i | ||||
\(832\) | 2.13951 | − | 2.90215i | 0.0741742 | − | 0.100614i | ||||
\(833\) | 21.3260 | − | 38.9318i | 0.738900 | − | 1.34891i | ||||
\(834\) | −19.8435 | + | 5.31705i | −0.687124 | + | 0.184114i | ||||
\(835\) | 22.1159 | + | 38.3058i | 0.765351 | + | 1.32563i | ||||
\(836\) | −8.72436 | + | 15.1110i | −0.301738 | + | 0.522626i | ||||
\(837\) | 2.21076 | − | 8.25065i | 0.0764149 | − | 0.285184i | ||||
\(838\) | −3.65284 | + | 3.65284i | −0.126185 | + | 0.126185i | ||||
\(839\) | −12.2092 | + | 45.5653i | −0.421508 | + | 1.57309i | 0.349925 | + | 0.936778i | \(0.386207\pi\) |
−0.771433 | + | 0.636311i | \(0.780460\pi\) | |||||||
\(840\) | 10.1042 | + | 5.68332i | 0.348629 | + | 0.196093i | ||||
\(841\) | 8.45357 | + | 14.6420i | 0.291502 | + | 0.504897i | ||||
\(842\) | −12.5115 | + | 7.22351i | −0.431174 | + | 0.248939i | ||||
\(843\) | 7.17377 | + | 7.17377i | 0.247078 | + | 0.247078i | ||||
\(844\) | 13.3699 | − | 7.71910i | 0.460210 | − | 0.265702i | ||||
\(845\) | 48.1991 | − | 30.3569i | 1.65810 | − | 1.04431i | ||||
\(846\) | − | 3.84215i | − | 0.132096i | ||||||
\(847\) | −1.54241 | + | 0.0173252i | −0.0529980 | + | 0.000595301i | ||||
\(848\) | 6.19883 | − | 10.7367i | 0.212869 | − | 0.368700i | ||||
\(849\) | − | 4.33819i | − | 0.148886i | ||||||
\(850\) | 86.9763 | + | 23.3052i | 2.98326 | + | 0.799363i | ||||
\(851\) | −0.345099 | + | 0.0924689i | −0.0118298 | + | 0.00316979i | ||||
\(852\) | −4.39908 | − | 4.39908i | −0.150710 | − | 0.150710i | ||||
\(853\) | −17.7773 | − | 17.7773i | −0.608682 | − | 0.608682i | 0.333919 | − | 0.942602i | \(-0.391629\pi\) |
−0.942602 | + | 0.333919i | \(0.891629\pi\) | |||||||
\(854\) | 3.74579 | − | 14.6351i | 0.128178 | − | 0.500802i | ||||
\(855\) | −20.5148 | − | 11.8442i | −0.701590 | − | 0.405063i | ||||
\(856\) | 4.11940 | + | 1.10379i | 0.140798 | + | 0.0377267i | ||||
\(857\) | 6.86537 | + | 11.8912i | 0.234517 | + | 0.406195i | 0.959132 | − | 0.282959i | \(-0.0913160\pi\) |
−0.724616 | + | 0.689153i | \(0.757983\pi\) | |||||||
\(858\) | 11.5646 | + | 1.29680i | 0.394808 | + | 0.0442721i | ||||
\(859\) | 27.2083 | + | 15.7087i | 0.928334 | + | 0.535974i | 0.886284 | − | 0.463141i | \(-0.153278\pi\) |
0.0420501 | + | 0.999116i | \(0.486611\pi\) | |||||||
\(860\) | −3.52860 | − | 13.1689i | −0.120324 | − | 0.449056i | ||||
\(861\) | −0.00821120 | − | 0.0293232i | −0.000279837 | − | 0.000999331i | ||||
\(862\) | 3.73450 | − | 2.15611i | 0.127198 | − | 0.0734375i | ||||
\(863\) | 55.8578 | − | 14.9670i | 1.90142 | − | 0.509484i | 0.904952 | − | 0.425513i | \(-0.139906\pi\) |
0.996468 | − | 0.0839709i | \(-0.0267603\pi\) | |||||||
\(864\) | 0.258819 | + | 0.965926i | 0.00880520 | + | 0.0328615i | ||||
\(865\) | 12.3931 | + | 46.2518i | 0.421379 | + | 1.57261i | ||||
\(866\) | 36.8550 | − | 9.87526i | 1.25238 | − | 0.335575i | ||||
\(867\) | 20.1039 | − | 11.6070i | 0.682763 | − | 0.394194i | ||||
\(868\) | 15.7996 | − | 16.1585i | 0.536272 | − | 0.548457i | ||||
\(869\) | −12.7599 | − | 47.6205i | −0.432849 | − | 1.61541i | ||||
\(870\) | −13.1959 | − | 7.61865i | −0.447382 | − | 0.258296i | ||||
\(871\) | −2.86432 | − | 18.9354i | −0.0970539 | − | 0.641601i | ||||
\(872\) | −9.36090 | − | 16.2136i | −0.317000 | − | 0.549060i | ||||
\(873\) | 2.25048 | + | 0.603015i | 0.0761673 | + | 0.0204090i | ||||
\(874\) | −9.29598 | − | 5.36704i | −0.314441 | − | 0.181543i | ||||
\(875\) | −74.5593 | + | 76.2533i | −2.52057 | + | 2.57783i | ||||
\(876\) | −2.54366 | − | 2.54366i | −0.0859424 | − | 0.0859424i | ||||
\(877\) | −25.5733 | − | 25.5733i | −0.863548 | − | 0.863548i | 0.128200 | − | 0.991748i | \(-0.459080\pi\) |
−0.991748 | + | 0.128200i | \(0.959080\pi\) | |||||||
\(878\) | −19.0890 | + | 5.11487i | −0.644221 | + | 0.172618i | ||||
\(879\) | 17.5606 | + | 4.70535i | 0.592305 | + | 0.158708i | ||||
\(880\) | 14.1421i | 0.476731i | ||||||||
\(881\) | −8.96533 | + | 15.5284i | −0.302050 | + | 0.523165i | −0.976600 | − | 0.215063i | \(-0.931004\pi\) |
0.674550 | + | 0.738229i | \(0.264337\pi\) | |||||||
\(882\) | −1.65940 | + | 6.80047i | −0.0558748 | + | 0.228984i | ||||
\(883\) | 15.9776i | 0.537689i | 0.963184 | + | 0.268844i | \(0.0866417\pi\) | ||||
−0.963184 | + | 0.268844i | \(0.913358\pi\) | |||||||
\(884\) | 22.7220 | + | 2.54795i | 0.764224 | + | 0.0856968i | ||||
\(885\) | 24.4489 | − | 14.1156i | 0.821840 | − | 0.474490i | ||||
\(886\) | −19.3976 | − | 19.3976i | −0.651677 | − | 0.651677i | ||||
\(887\) | 26.4145 | − | 15.2504i | 0.886910 | − | 0.512058i | 0.0139798 | − | 0.999902i | \(-0.495550\pi\) |
0.872931 | + | 0.487844i | \(0.162217\pi\) | |||||||
\(888\) | −0.0899699 | − | 0.155832i | −0.00301919 | − | 0.00522939i | ||||
\(889\) | 0.910093 | − | 1.61803i | 0.0305235 | − | 0.0542670i | ||||
\(890\) | −20.2174 | + | 75.4523i | −0.677689 | + | 2.52917i | ||||
\(891\) | −2.28221 | + | 2.28221i | −0.0764570 | + | 0.0764570i | ||||
\(892\) | 5.78209 | − | 21.5790i | 0.193599 | − | 0.722520i | ||||
\(893\) | −10.3857 | + | 17.9886i | −0.347545 | + | 0.601966i | ||||
\(894\) | 3.61577 | + | 6.26270i | 0.120930 | + | 0.209456i | ||||
\(895\) | −42.4925 | + | 11.3858i | −1.42037 | + | 0.380587i | ||||
\(896\) | −0.656024 | + | 2.56313i | −0.0219162 | + | 0.0856281i | ||||
\(897\) | −0.797765 | + | 7.11427i | −0.0266366 | + | 0.237539i | ||||
\(898\) | 10.9810 | − | 19.0197i | 0.366441 | − | 0.634694i | ||||
\(899\) | −21.0036 | + | 21.0036i | −0.700510 | + | 0.700510i | ||||
\(900\) | −14.1994 | −0.473312 | ||||||||
\(901\) | 78.6192 | 2.61918 | ||||||||
\(902\) | 0.0262670 | − | 0.0262670i | 0.000874596 | − | 0.000874596i | ||||
\(903\) | 7.08254 | − | 4.19587i | 0.235692 | − | 0.139630i | ||||
\(904\) | 7.49899 | + | 2.00935i | 0.249413 | + | 0.0668300i | ||||
\(905\) | 0.318532 | + | 1.18878i | 0.0105884 | + | 0.0395163i | ||||
\(906\) | 2.93409 | + | 1.69400i | 0.0974786 | + | 0.0562793i | ||||
\(907\) | 8.03721i | 0.266871i | 0.991057 | + | 0.133436i | \(0.0426009\pi\) | ||||
−0.991057 | + | 0.133436i | \(0.957399\pi\) | |||||||
\(908\) | 5.98281 | − | 22.3281i | 0.198546 | − | 0.740985i | ||||
\(909\) | 8.32192 | 0.276021 | ||||||||
\(910\) | −24.4237 | + | 33.9209i | −0.809638 | + | 1.12447i | ||||
\(911\) | −35.0854 | −1.16243 | −0.581216 | − | 0.813750i | \(-0.697423\pi\) | ||||
−0.581216 | + | 0.813750i | \(0.697423\pi\) | |||||||
\(912\) | 1.39923 | − | 5.22199i | 0.0463331 | − | 0.172917i | ||||
\(913\) | 5.37215i | 0.177792i | ||||||||
\(914\) | −7.69890 | − | 4.44496i | −0.254657 | − | 0.147026i | ||||
\(915\) | 6.47536 | + | 24.1664i | 0.214069 | + | 0.798916i | ||||
\(916\) | −13.7806 | − | 3.69250i | −0.455323 | − | 0.122003i | ||||
\(917\) | −9.25176 | + | 16.4484i | −0.305520 | + | 0.543175i | ||||
\(918\) | −4.48408 | + | 4.48408i | −0.147997 | + | 0.147997i | ||||
\(919\) | 3.32817 | 0.109786 | 0.0548932 | − | 0.998492i | \(-0.482518\pi\) | ||||
0.0548932 | + | 0.998492i | \(0.482518\pi\) | |||||||
\(920\) | −8.69993 | −0.286828 | ||||||||
\(921\) | −7.72652 | + | 7.72652i | −0.254598 | + | 0.254598i | ||||
\(922\) | −6.64407 | + | 11.5079i | −0.218811 | + | 0.378992i | ||||
\(923\) | 17.5298 | − | 13.9948i | 0.577001 | − | 0.460644i | ||||
\(924\) | −8.22294 | + | 2.30263i | −0.270515 | + | 0.0757508i | ||||
\(925\) | 2.46797 | − | 0.661290i | 0.0811463 | − | 0.0217431i | ||||
\(926\) | 11.9497 | + | 20.6975i | 0.392693 | + | 0.680164i | ||||
\(927\) | 1.19202 | − | 2.06463i | 0.0391509 | − | 0.0678114i | ||||
\(928\) | 0.900038 | − | 3.35899i | 0.0295452 | − | 0.110264i | ||||
\(929\) | −19.7186 | + | 19.7186i | −0.646948 | + | 0.646948i | −0.952254 | − | 0.305306i | \(-0.901241\pi\) |
0.305306 | + | 0.952254i | \(0.401241\pi\) | |||||||
\(930\) | −9.68688 | + | 36.1519i | −0.317645 | + | 1.18547i | ||||
\(931\) | 26.1515 | − | 27.3537i | 0.857082 | − | 0.896480i | ||||
\(932\) | −1.01943 | − | 1.76570i | −0.0333925 | − | 0.0578376i | ||||
\(933\) | −9.99263 | + | 5.76925i | −0.327144 | + | 0.188877i | ||||
\(934\) | 8.09226 | + | 8.09226i | 0.264787 | + | 0.264787i | ||||
\(935\) | −77.6665 | + | 44.8407i | −2.53996 | + | 1.46645i | ||||
\(936\) | −3.56499 | + | 0.539271i | −0.116525 | + | 0.0176266i | ||||
\(937\) | − | 18.5913i | − | 0.607351i | −0.952776 | − | 0.303676i | \(-0.901786\pi\) | ||
0.952776 | − | 0.303676i | \(-0.0982139\pi\) | |||||||
\(938\) | 7.16268 | + | 12.0904i | 0.233870 | + | 0.394767i | ||||
\(939\) | 9.06000 | − | 15.6924i | 0.295662 | − | 0.512101i | ||||
\(940\) | 16.8352i | 0.549104i | ||||||||
\(941\) | −27.0611 | − | 7.25100i | −0.882167 | − | 0.236376i | −0.210825 | − | 0.977524i | \(-0.567615\pi\) |
−0.671342 | + | 0.741148i | \(0.734282\pi\) | |||||||
\(942\) | 1.76567 | − | 0.473111i | 0.0575288 | − | 0.0154148i | ||||
\(943\) | 0.0161589 | + | 0.0161589i | 0.000526206 | + | 0.000526206i | ||||
\(944\) | 4.55586 | + | 4.55586i | 0.148280 | + | 0.148280i | ||||
\(945\) | −3.12605 | − | 11.1635i | −0.101690 | − | 0.363148i | ||||
\(946\) | 8.69689 | + | 5.02115i | 0.282760 | + | 0.163252i | ||||
\(947\) | −29.2741 | − | 7.84398i | −0.951282 | − | 0.254895i | −0.250376 | − | 0.968149i | \(-0.580554\pi\) |
−0.700906 | + | 0.713254i | \(0.747221\pi\) | |||||||
\(948\) | 7.63746 | + | 13.2285i | 0.248053 | + | 0.429641i | ||||
\(949\) | 10.1362 | − | 8.09215i | 0.329035 | − | 0.262682i | ||||
\(950\) | 66.4801 | + | 38.3823i | 2.15690 | + | 1.24529i | ||||
\(951\) | −6.42219 | − | 23.9680i | −0.208254 | − | 0.777214i | ||||
\(952\) | −16.1564 | + | 4.52419i | −0.523632 | + | 0.146630i | ||||
\(953\) | −23.0230 | + | 13.2923i | −0.745789 | + | 0.430581i | −0.824170 | − | 0.566342i | \(-0.808358\pi\) |
0.0783816 | + | 0.996923i | \(0.475025\pi\) | |||||||
\(954\) | −11.9752 | + | 3.20875i | −0.387712 | + | 0.103887i | ||||
\(955\) | −4.51470 | − | 16.8491i | −0.146092 | − | 0.545224i | ||||
\(956\) | −2.66036 | − | 9.92859i | −0.0860421 | − | 0.321113i | ||||
\(957\) | 10.8412 | − | 2.90490i | 0.350448 | − | 0.0939022i | ||||
\(958\) | −28.6291 | + | 16.5290i | −0.924964 | + | 0.534028i | ||||
\(959\) | 2.30545 | − | 0.645582i | 0.0744468 | − | 0.0208469i | ||||
\(960\) | −1.13407 | − | 4.23240i | −0.0366019 | − | 0.136600i | ||||
\(961\) | 36.3390 | + | 20.9803i | 1.17223 | + | 0.676785i | ||||
\(962\) | 0.594511 | − | 0.259758i | 0.0191678 | − | 0.00837494i | ||||
\(963\) | −2.13236 | − | 3.69335i | −0.0687143 | − | 0.119017i | ||||
\(964\) | −10.6061 | − | 2.84189i | −0.341599 | − | 0.0915312i | ||||
\(965\) | −93.0052 | − | 53.6966i | −2.99394 | − | 1.72855i | ||||
\(966\) | −1.41653 | − | 5.05858i | −0.0455760 | − | 0.162757i | ||||
\(967\) | 24.4165 | + | 24.4165i | 0.785182 | + | 0.785182i | 0.980700 | − | 0.195518i | \(-0.0626387\pi\) |
−0.195518 | + | 0.980700i | \(0.562639\pi\) | |||||||
\(968\) | 0.412253 | + | 0.412253i | 0.0132503 | + | 0.0132503i | ||||
\(969\) | 33.1150 | − | 8.87314i | 1.06381 | − | 0.285046i | ||||
\(970\) | −9.86096 | − | 2.64224i | −0.316616 | − | 0.0848371i | ||||
\(971\) | 28.1935i | 0.904772i | 0.891822 | + | 0.452386i | \(0.149427\pi\) | ||||
−0.891822 | + | 0.452386i | \(0.850573\pi\) | |||||||
\(972\) | 0.500000 | − | 0.866025i | 0.0160375 | − | 0.0277778i | ||||
\(973\) | 27.7035 | + | 46.7629i | 0.888133 | + | 1.49915i | ||||
\(974\) | − | 37.6061i | − | 1.20498i | ||||||
\(975\) | 5.70521 | − | 50.8777i | 0.182713 | − | 1.62939i | ||||
\(976\) | −4.94487 | + | 2.85492i | −0.158281 | + | 0.0913839i | ||||
\(977\) | −11.1254 | − | 11.1254i | −0.355932 | − | 0.355932i | 0.506379 | − | 0.862311i | \(-0.330984\pi\) |
−0.862311 | + | 0.506379i | \(0.830984\pi\) | |||||||
\(978\) | −9.92648 | + | 5.73106i | −0.317414 | + | 0.183259i | ||||
\(979\) | −28.7691 | − | 49.8296i | −0.919465 | − | 1.59256i | ||||
\(980\) | 7.27100 | − | 29.7977i | 0.232264 | − | 0.951852i | ||||
\(981\) | −4.84556 | + | 18.0839i | −0.154707 | + | 0.577374i | ||||
\(982\) | 12.0502 | − | 12.0502i | 0.384536 | − | 0.384536i | ||||
\(983\) | 12.3821 | − | 46.2105i | 0.394926 | − | 1.47388i | −0.426979 | − | 0.904261i | \(-0.640422\pi\) |
0.821906 | − | 0.569624i | \(-0.192911\pi\) | |||||||
\(984\) | −0.00575472 | + | 0.00996747i | −0.000183454 | + | 0.000317751i | ||||
\(985\) | −8.27879 | − | 14.3393i | −0.263784 | − | 0.456888i | ||||
\(986\) | 21.3008 | − | 5.70754i | 0.678357 | − | 0.181765i | ||||
\(987\) | −9.78884 | + | 2.74111i | −0.311582 | + | 0.0872506i | ||||
\(988\) | 18.1487 | + | 7.11173i | 0.577387 | + | 0.226254i | ||||
\(989\) | −3.08890 | + | 5.35014i | −0.0982214 | + | 0.170125i | ||||
\(990\) | 9.99999 | − | 9.99999i | 0.317820 | − | 0.317820i | ||||
\(991\) | −8.86301 | −0.281543 | −0.140771 | − | 0.990042i | \(-0.544958\pi\) | ||||
−0.140771 | + | 0.990042i | \(0.544958\pi\) | |||||||
\(992\) | −8.54170 | −0.271199 | ||||||||
\(993\) | −9.11773 | + | 9.11773i | −0.289343 | + | 0.289343i | ||||
\(994\) | −8.06929 | + | 14.3462i | −0.255942 | + | 0.455033i | ||||
\(995\) | 15.1273 | + | 4.05335i | 0.479568 | + | 0.128500i | ||||
\(996\) | −0.430798 | − | 1.60776i | −0.0136504 | − | 0.0509438i | ||||
\(997\) | −18.1663 | − | 10.4883i | −0.575334 | − | 0.332169i | 0.183943 | − | 0.982937i | \(-0.441114\pi\) |
−0.759277 | + | 0.650768i | \(0.774447\pi\) | |||||||
\(998\) | − | 0.664275i | − | 0.0210273i | ||||||
\(999\) | −0.0465718 | + | 0.173808i | −0.00147347 | + | 0.00549906i |
(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.by.b.397.1 | ✓ | 40 | |
7.3 | odd | 6 | 546.2.cg.b.241.1 | yes | 40 | ||
13.2 | odd | 12 | 546.2.cg.b.145.1 | yes | 40 | ||
91.80 | even | 12 | inner | 546.2.by.b.535.1 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.by.b.397.1 | ✓ | 40 | 1.1 | even | 1 | trivial | |
546.2.by.b.535.1 | yes | 40 | 91.80 | even | 12 | inner | |
546.2.cg.b.145.1 | yes | 40 | 13.2 | odd | 12 | ||
546.2.cg.b.241.1 | yes | 40 | 7.3 | odd | 6 |