Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [287,2,Mod(57,287)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(287, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("287.57");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 287 = 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 287.h (of order \(5\), 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: | \(2.29170653801\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 78.6 | ||
Character | \(\chi\) | \(=\) | 287.78 |
Dual form | 287.2.h.c.92.6 |
$q$-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 \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).
\(n\) | \(206\) | \(211\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.539909 | − | 0.392267i | 0.381773 | − | 0.277375i | −0.380303 | − | 0.924862i | \(-0.624180\pi\) |
0.762076 | + | 0.647488i | \(0.224180\pi\) | |||||||
\(3\) | −3.00502 | −1.73495 | −0.867473 | − | 0.497483i | \(-0.834258\pi\) | ||||
−0.867473 | + | 0.497483i | \(0.834258\pi\) | |||||||
\(4\) | −0.480406 | + | 1.47854i | −0.240203 | + | 0.739268i | ||||
\(5\) | 0.818883 | − | 2.52026i | 0.366216 | − | 1.12710i | −0.583001 | − | 0.812472i | \(-0.698122\pi\) |
0.949216 | − | 0.314624i | \(-0.101878\pi\) | |||||||
\(6\) | −1.62244 | + | 1.17877i | −0.662356 | + | 0.481230i | ||||
\(7\) | −0.809017 | − | 0.587785i | −0.305780 | − | 0.222162i | ||||
\(8\) | 0.733059 | + | 2.25612i | 0.259176 | + | 0.797660i | ||||
\(9\) | 6.03012 | 2.01004 | ||||||||
\(10\) | −0.546493 | − | 1.68193i | −0.172816 | − | 0.531874i | ||||
\(11\) | 2.02711 | + | 6.23880i | 0.611197 | + | 1.88107i | 0.446674 | + | 0.894697i | \(0.352608\pi\) |
0.164523 | + | 0.986373i | \(0.447392\pi\) | |||||||
\(12\) | 1.44363 | − | 4.44303i | 0.416739 | − | 1.28259i | ||||
\(13\) | −1.47260 | + | 1.06991i | −0.408425 | + | 0.296738i | −0.772964 | − | 0.634450i | \(-0.781227\pi\) |
0.364539 | + | 0.931188i | \(0.381227\pi\) | |||||||
\(14\) | −0.667364 | −0.178361 | ||||||||
\(15\) | −2.46076 | + | 7.57343i | −0.635365 | + | 1.95545i | ||||
\(16\) | −1.23465 | − | 0.897025i | −0.308662 | − | 0.224256i | ||||
\(17\) | 0.796013 | + | 2.44988i | 0.193061 | + | 0.594182i | 0.999994 | + | 0.00353805i | \(0.00112620\pi\) |
−0.806932 | + | 0.590644i | \(0.798874\pi\) | |||||||
\(18\) | 3.25572 | − | 2.36542i | 0.767380 | − | 0.557534i | ||||
\(19\) | 6.38527 | + | 4.63917i | 1.46488 | + | 1.06430i | 0.982058 | + | 0.188580i | \(0.0603886\pi\) |
0.482823 | + | 0.875718i | \(0.339611\pi\) | |||||||
\(20\) | 3.33290 | + | 2.42150i | 0.745260 | + | 0.541463i | ||||
\(21\) | 2.43111 | + | 1.76630i | 0.530512 | + | 0.385439i | ||||
\(22\) | 3.54173 | + | 2.57322i | 0.755099 | + | 0.548612i | ||||
\(23\) | −1.42319 | + | 1.03401i | −0.296755 | + | 0.215605i | −0.726192 | − | 0.687492i | \(-0.758712\pi\) |
0.429438 | + | 0.903097i | \(0.358712\pi\) | |||||||
\(24\) | −2.20285 | − | 6.77969i | −0.449656 | − | 1.38390i | ||||
\(25\) | −1.63607 | − | 1.18868i | −0.327214 | − | 0.237735i | ||||
\(26\) | −0.375381 | + | 1.15530i | −0.0736182 | + | 0.226574i | ||||
\(27\) | −9.10557 | −1.75237 | ||||||||
\(28\) | 1.25772 | − | 0.913786i | 0.237686 | − | 0.172689i | ||||
\(29\) | 1.57183 | − | 4.83761i | 0.291882 | − | 0.898321i | −0.692369 | − | 0.721544i | \(-0.743433\pi\) |
0.984251 | − | 0.176777i | \(-0.0565672\pi\) | |||||||
\(30\) | 1.64222 | + | 5.05424i | 0.299827 | + | 0.922773i | ||||
\(31\) | −1.21893 | − | 3.75148i | −0.218927 | − | 0.673787i | −0.998851 | − | 0.0479135i | \(-0.984743\pi\) |
0.779925 | − | 0.625873i | \(-0.215257\pi\) | |||||||
\(32\) | −5.76293 | −1.01875 | ||||||||
\(33\) | −6.09150 | − | 18.7477i | −1.06039 | − | 3.26356i | ||||
\(34\) | 1.39078 | + | 1.01046i | 0.238517 | + | 0.173292i | ||||
\(35\) | −2.14386 | + | 1.55761i | −0.362379 | + | 0.263284i | ||||
\(36\) | −2.89690 | + | 8.91576i | −0.482817 | + | 1.48596i | ||||
\(37\) | −0.577897 | + | 1.77858i | −0.0950056 | + | 0.292397i | −0.987255 | − | 0.159145i | \(-0.949126\pi\) |
0.892250 | + | 0.451543i | \(0.149126\pi\) | |||||||
\(38\) | 5.26725 | 0.854462 | ||||||||
\(39\) | 4.42518 | − | 3.21508i | 0.708596 | − | 0.514825i | ||||
\(40\) | 6.28632 | 0.993954 | ||||||||
\(41\) | −0.0811299 | + | 6.40261i | −0.0126704 | + | 0.999920i | ||||
\(42\) | 2.00544 | 0.309446 | ||||||||
\(43\) | 1.58062 | − | 1.14839i | 0.241042 | − | 0.175127i | −0.460705 | − | 0.887553i | \(-0.652404\pi\) |
0.701747 | + | 0.712426i | \(0.252404\pi\) | |||||||
\(44\) | −10.1981 | −1.53743 | ||||||||
\(45\) | 4.93797 | − | 15.1975i | 0.736108 | − | 2.26551i | ||||
\(46\) | −0.362785 | + | 1.11654i | −0.0534897 | + | 0.164624i | ||||
\(47\) | −7.28213 | + | 5.29078i | −1.06221 | + | 0.771739i | −0.974496 | − | 0.224407i | \(-0.927956\pi\) |
−0.0877120 | + | 0.996146i | \(0.527956\pi\) | |||||||
\(48\) | 3.71014 | + | 2.69557i | 0.535512 | + | 0.389073i | ||||
\(49\) | 0.309017 | + | 0.951057i | 0.0441453 | + | 0.135865i | ||||
\(50\) | −1.34961 | −0.190863 | ||||||||
\(51\) | −2.39203 | − | 7.36191i | −0.334951 | − | 1.03087i | ||||
\(52\) | −0.874449 | − | 2.69128i | −0.121264 | − | 0.373213i | ||||
\(53\) | 1.85984 | − | 5.72399i | 0.255468 | − | 0.786251i | −0.738269 | − | 0.674507i | \(-0.764356\pi\) |
0.993737 | − | 0.111744i | \(-0.0356436\pi\) | |||||||
\(54\) | −4.91618 | + | 3.57181i | −0.669007 | + | 0.486062i | ||||
\(55\) | 17.3834 | 2.34398 | ||||||||
\(56\) | 0.733059 | − | 2.25612i | 0.0979592 | − | 0.301487i | ||||
\(57\) | −19.1878 | − | 13.9408i | −2.54149 | − | 1.84650i | ||||
\(58\) | −1.04899 | − | 3.22845i | −0.137739 | − | 0.423916i | ||||
\(59\) | 0.469012 | − | 0.340757i | 0.0610602 | − | 0.0443628i | −0.556836 | − | 0.830622i | \(-0.687985\pi\) |
0.617897 | + | 0.786259i | \(0.287985\pi\) | |||||||
\(60\) | −10.0154 | − | 7.27664i | −1.29299 | − | 0.939410i | ||||
\(61\) | 1.76169 | + | 1.27994i | 0.225561 | + | 0.163880i | 0.694827 | − | 0.719177i | \(-0.255481\pi\) |
−0.469265 | + | 0.883057i | \(0.655481\pi\) | |||||||
\(62\) | −2.12969 | − | 1.54731i | −0.270471 | − | 0.196509i | ||||
\(63\) | −4.87847 | − | 3.54442i | −0.614630 | − | 0.446555i | ||||
\(64\) | −0.642160 | + | 0.466556i | −0.0802700 | + | 0.0583195i | ||||
\(65\) | 1.49056 | + | 4.58746i | 0.184881 | + | 0.569005i | ||||
\(66\) | −10.6430 | − | 7.73256i | −1.31006 | − | 0.951813i | ||||
\(67\) | −2.15980 | + | 6.64718i | −0.263861 | + | 0.812082i | 0.728092 | + | 0.685479i | \(0.240407\pi\) |
−0.991954 | + | 0.126603i | \(0.959593\pi\) | |||||||
\(68\) | −4.00464 | −0.485634 | ||||||||
\(69\) | 4.27670 | − | 3.10720i | 0.514854 | − | 0.374063i | ||||
\(70\) | −0.546493 | + | 1.68193i | −0.0653184 | + | 0.201029i | ||||
\(71\) | 2.46698 | + | 7.59258i | 0.292776 | + | 0.901073i | 0.983959 | + | 0.178393i | \(0.0570899\pi\) |
−0.691183 | + | 0.722680i | \(0.742910\pi\) | |||||||
\(72\) | 4.42044 | + | 13.6047i | 0.520954 | + | 1.60333i | ||||
\(73\) | 6.71184 | 0.785561 | 0.392781 | − | 0.919632i | \(-0.371513\pi\) | ||||
0.392781 | + | 0.919632i | \(0.371513\pi\) | |||||||
\(74\) | 0.385667 | + | 1.18696i | 0.0448329 | + | 0.137982i | ||||
\(75\) | 4.91642 | + | 3.57199i | 0.567699 | + | 0.412458i | ||||
\(76\) | −9.92670 | + | 7.21217i | −1.13867 | + | 0.827292i | ||||
\(77\) | 2.02711 | − | 6.23880i | 0.231011 | − | 0.710978i | ||||
\(78\) | 1.12802 | − | 3.47170i | 0.127724 | − | 0.393093i | ||||
\(79\) | 8.80808 | 0.990986 | 0.495493 | − | 0.868612i | \(-0.334987\pi\) | ||||
0.495493 | + | 0.868612i | \(0.334987\pi\) | |||||||
\(80\) | −3.27177 | + | 2.37708i | −0.365795 | + | 0.265766i | ||||
\(81\) | 9.27202 | 1.03022 | ||||||||
\(82\) | 2.46773 | + | 3.48865i | 0.272515 | + | 0.385257i | ||||
\(83\) | −7.12960 | −0.782576 | −0.391288 | − | 0.920268i | \(-0.627970\pi\) | ||||
−0.391288 | + | 0.920268i | \(0.627970\pi\) | |||||||
\(84\) | −3.77946 | + | 2.74594i | −0.412373 | + | 0.299607i | ||||
\(85\) | 6.82617 | 0.740402 | ||||||||
\(86\) | 0.402916 | − | 1.24005i | 0.0434475 | − | 0.133718i | ||||
\(87\) | −4.72339 | + | 14.5371i | −0.506400 | + | 1.55854i | ||||
\(88\) | −12.5895 | + | 9.14682i | −1.34205 | + | 0.975055i | ||||
\(89\) | −14.3145 | − | 10.4001i | −1.51734 | − | 1.10241i | −0.962788 | − | 0.270257i | \(-0.912891\pi\) |
−0.554548 | − | 0.832152i | \(-0.687109\pi\) | |||||||
\(90\) | −3.29542 | − | 10.1423i | −0.347368 | − | 1.06909i | ||||
\(91\) | 1.82023 | 0.190812 | ||||||||
\(92\) | −0.845108 | − | 2.60097i | −0.0881086 | − | 0.271170i | ||||
\(93\) | 3.66291 | + | 11.2733i | 0.379826 | + | 1.16898i | ||||
\(94\) | −1.85629 | + | 5.71307i | −0.191462 | + | 0.589259i | ||||
\(95\) | 16.9207 | − | 12.2936i | 1.73603 | − | 1.26130i | ||||
\(96\) | 17.3177 | 1.76748 | ||||||||
\(97\) | −0.00934027 | + | 0.0287464i | −0.000948361 | + | 0.00291876i | −0.951530 | − | 0.307557i | \(-0.900488\pi\) |
0.950581 | + | 0.310476i | \(0.100488\pi\) | |||||||
\(98\) | 0.539909 | + | 0.392267i | 0.0545390 | + | 0.0396249i | ||||
\(99\) | 12.2237 | + | 37.6208i | 1.22853 | + | 3.78103i | ||||
\(100\) | 2.54348 | − | 1.84794i | 0.254348 | − | 0.184794i | ||||
\(101\) | 6.18783 | + | 4.49572i | 0.615712 | + | 0.447341i | 0.851421 | − | 0.524483i | \(-0.175741\pi\) |
−0.235709 | + | 0.971824i | \(0.575741\pi\) | |||||||
\(102\) | −4.17931 | − | 3.03645i | −0.413814 | − | 0.300653i | ||||
\(103\) | −8.22884 | − | 5.97860i | −0.810812 | − | 0.589089i | 0.103254 | − | 0.994655i | \(-0.467075\pi\) |
−0.914066 | + | 0.405566i | \(0.867075\pi\) | |||||||
\(104\) | −3.49334 | − | 2.53806i | −0.342550 | − | 0.248877i | ||||
\(105\) | 6.44235 | − | 4.68064i | 0.628709 | − | 0.456784i | ||||
\(106\) | −1.24119 | − | 3.81999i | −0.120555 | − | 0.371030i | ||||
\(107\) | 10.1894 | + | 7.40301i | 0.985044 | + | 0.715676i | 0.958830 | − | 0.283980i | \(-0.0916550\pi\) |
0.0262136 | + | 0.999656i | \(0.491655\pi\) | |||||||
\(108\) | 4.37437 | − | 13.4629i | 0.420924 | − | 1.29547i | ||||
\(109\) | 6.69458 | 0.641225 | 0.320612 | − | 0.947211i | \(-0.396111\pi\) | ||||
0.320612 | + | 0.947211i | \(0.396111\pi\) | |||||||
\(110\) | 9.38545 | − | 6.81893i | 0.894867 | − | 0.650159i | ||||
\(111\) | 1.73659 | − | 5.34467i | 0.164830 | − | 0.507294i | ||||
\(112\) | 0.471594 | + | 1.45142i | 0.0445614 | + | 0.137146i | ||||
\(113\) | −0.874568 | − | 2.69164i | −0.0822724 | − | 0.253209i | 0.901456 | − | 0.432871i | \(-0.142499\pi\) |
−0.983728 | + | 0.179662i | \(0.942499\pi\) | |||||||
\(114\) | −15.8282 | −1.48245 | ||||||||
\(115\) | 1.44054 | + | 4.43353i | 0.134331 | + | 0.413429i | ||||
\(116\) | 6.39746 | + | 4.64803i | 0.593989 | + | 0.431558i | ||||
\(117\) | −8.87995 | + | 6.45166i | −0.820952 | + | 0.596456i | ||||
\(118\) | 0.119556 | − | 0.367956i | 0.0110060 | − | 0.0338731i | ||||
\(119\) | 0.796013 | − | 2.44988i | 0.0729704 | − | 0.224580i | ||||
\(120\) | −18.8905 | −1.72446 | ||||||||
\(121\) | −25.9143 | + | 18.8278i | −2.35585 | + | 1.71162i | ||||
\(122\) | 1.45323 | 0.131569 | ||||||||
\(123\) | 0.243797 | − | 19.2399i | 0.0219824 | − | 1.73481i | ||||
\(124\) | 6.13229 | 0.550696 | ||||||||
\(125\) | 6.38379 | − | 4.63810i | 0.570984 | − | 0.414844i | ||||
\(126\) | −4.02429 | −0.358512 | ||||||||
\(127\) | 5.12587 | − | 15.7758i | 0.454847 | − | 1.39988i | −0.416467 | − | 0.909151i | \(-0.636732\pi\) |
0.871314 | − | 0.490726i | \(-0.163268\pi\) | |||||||
\(128\) | 3.39799 | − | 10.4579i | 0.300343 | − | 0.924361i | ||||
\(129\) | −4.74978 | + | 3.45092i | −0.418195 | + | 0.303836i | ||||
\(130\) | 2.60427 | + | 1.89212i | 0.228410 | + | 0.165950i | ||||
\(131\) | −6.23619 | − | 19.1930i | −0.544858 | − | 1.67690i | −0.721326 | − | 0.692595i | \(-0.756467\pi\) |
0.176468 | − | 0.984306i | \(-0.443533\pi\) | |||||||
\(132\) | 30.6456 | 2.66735 | ||||||||
\(133\) | −2.43896 | − | 7.50633i | −0.211484 | − | 0.650882i | ||||
\(134\) | 1.44137 | + | 4.43609i | 0.124516 | + | 0.383220i | ||||
\(135\) | −7.45640 | + | 22.9484i | −0.641744 | + | 1.97509i | ||||
\(136\) | −4.94370 | + | 3.59181i | −0.423919 | + | 0.307995i | ||||
\(137\) | 3.13572 | 0.267902 | 0.133951 | − | 0.990988i | \(-0.457233\pi\) | ||||
0.133951 | + | 0.990988i | \(0.457233\pi\) | |||||||
\(138\) | 1.09017 | − | 3.35521i | 0.0928018 | − | 0.285615i | ||||
\(139\) | −1.52131 | − | 1.10530i | −0.129036 | − | 0.0937501i | 0.521395 | − | 0.853315i | \(-0.325412\pi\) |
−0.650431 | + | 0.759565i | \(0.725412\pi\) | |||||||
\(140\) | −1.27306 | − | 3.91806i | −0.107593 | − | 0.331137i | ||||
\(141\) | 21.8829 | − | 15.8989i | 1.84287 | − | 1.33893i | ||||
\(142\) | 4.31026 | + | 3.13159i | 0.361709 | + | 0.262797i | ||||
\(143\) | −9.66005 | − | 7.01844i | −0.807814 | − | 0.586911i | ||||
\(144\) | −7.44508 | − | 5.40917i | −0.620424 | − | 0.450764i | ||||
\(145\) | −10.9049 | − | 7.92287i | −0.905602 | − | 0.657958i | ||||
\(146\) | 3.62378 | − | 2.63283i | 0.299906 | − | 0.217895i | ||||
\(147\) | −0.928601 | − | 2.85794i | −0.0765897 | − | 0.235719i | ||||
\(148\) | −2.35207 | − | 1.70888i | −0.193339 | − | 0.140469i | ||||
\(149\) | 2.92312 | − | 8.99645i | 0.239472 | − | 0.737018i | −0.757025 | − | 0.653386i | \(-0.773348\pi\) |
0.996497 | − | 0.0836319i | \(-0.0266520\pi\) | |||||||
\(150\) | 4.05559 | 0.331138 | ||||||||
\(151\) | −6.97563 | + | 5.06809i | −0.567669 | + | 0.412435i | −0.834258 | − | 0.551375i | \(-0.814103\pi\) |
0.266589 | + | 0.963810i | \(0.414103\pi\) | |||||||
\(152\) | −5.78576 | + | 17.8067i | −0.469287 | + | 1.44432i | ||||
\(153\) | 4.80005 | + | 14.7730i | 0.388061 | + | 1.19433i | ||||
\(154\) | −1.35282 | − | 4.16355i | −0.109013 | − | 0.335509i | ||||
\(155\) | −10.4529 | −0.839596 | ||||||||
\(156\) | 2.62773 | + | 8.08734i | 0.210387 | + | 0.647505i | ||||
\(157\) | 18.5424 | + | 13.4719i | 1.47985 | + | 1.07517i | 0.977605 | + | 0.210446i | \(0.0674918\pi\) |
0.502243 | + | 0.864726i | \(0.332508\pi\) | |||||||
\(158\) | 4.75556 | − | 3.45512i | 0.378332 | − | 0.274874i | ||||
\(159\) | −5.58884 | + | 17.2007i | −0.443224 | + | 1.36410i | ||||
\(160\) | −4.71917 | + | 14.5241i | −0.373083 | + | 1.14823i | ||||
\(161\) | 1.75915 | 0.138641 | ||||||||
\(162\) | 5.00604 | − | 3.63710i | 0.393312 | − | 0.285758i | ||||
\(163\) | 15.9860 | 1.25212 | 0.626061 | − | 0.779774i | \(-0.284666\pi\) | ||||
0.626061 | + | 0.779774i | \(0.284666\pi\) | |||||||
\(164\) | −9.42752 | − | 3.19580i | −0.736165 | − | 0.249550i | ||||
\(165\) | −52.2374 | −4.06667 | ||||||||
\(166\) | −3.84934 | + | 2.79671i | −0.298766 | + | 0.217066i | ||||
\(167\) | −11.3842 | −0.880938 | −0.440469 | − | 0.897768i | \(-0.645188\pi\) | ||||
−0.440469 | + | 0.897768i | \(0.645188\pi\) | |||||||
\(168\) | −2.20285 | + | 6.77969i | −0.169954 | + | 0.523064i | ||||
\(169\) | −2.99337 | + | 9.21265i | −0.230259 | + | 0.708666i | ||||
\(170\) | 3.68551 | − | 2.67768i | 0.282666 | − | 0.205369i | ||||
\(171\) | 38.5039 | + | 27.9748i | 2.94447 | + | 2.13928i | ||||
\(172\) | 0.938592 | + | 2.88869i | 0.0715670 | + | 0.220261i | ||||
\(173\) | 18.0283 | 1.37067 | 0.685334 | − | 0.728229i | \(-0.259656\pi\) | ||||
0.685334 | + | 0.728229i | \(0.259656\pi\) | |||||||
\(174\) | 3.15222 | + | 9.70153i | 0.238969 | + | 0.735471i | ||||
\(175\) | 0.624924 | + | 1.92332i | 0.0472398 | + | 0.145389i | ||||
\(176\) | 3.09359 | − | 9.52110i | 0.233188 | − | 0.717680i | ||||
\(177\) | −1.40939 | + | 1.02398i | −0.105936 | + | 0.0769672i | ||||
\(178\) | −11.8082 | −0.885059 | ||||||||
\(179\) | 1.96928 | − | 6.06083i | 0.147191 | − | 0.453008i | −0.850095 | − | 0.526629i | \(-0.823456\pi\) |
0.997286 | + | 0.0736214i | \(0.0234556\pi\) | |||||||
\(180\) | 20.0978 | + | 14.6019i | 1.49800 | + | 1.08836i | ||||
\(181\) | −2.52645 | − | 7.77560i | −0.187789 | − | 0.577956i | 0.812196 | − | 0.583385i | \(-0.198272\pi\) |
−0.999985 | + | 0.00542871i | \(0.998272\pi\) | |||||||
\(182\) | 0.982759 | − | 0.714016i | 0.0728470 | − | 0.0529264i | ||||
\(183\) | −5.29391 | − | 3.84625i | −0.391337 | − | 0.284323i | ||||
\(184\) | −3.37612 | − | 2.45290i | −0.248891 | − | 0.180830i | ||||
\(185\) | 4.00927 | + | 2.91290i | 0.294767 | + | 0.214161i | ||||
\(186\) | 6.39977 | + | 4.64970i | 0.469254 | + | 0.340933i | ||||
\(187\) | −13.6707 | + | 9.93233i | −0.999699 | + | 0.726324i | ||||
\(188\) | −4.32423 | − | 13.3086i | −0.315377 | − | 0.970630i | ||||
\(189\) | 7.36656 | + | 5.35212i | 0.535838 | + | 0.389309i | ||||
\(190\) | 4.31327 | − | 13.2749i | 0.312917 | − | 0.963060i | ||||
\(191\) | −7.84984 | −0.567994 | −0.283997 | − | 0.958825i | \(-0.591661\pi\) | ||||
−0.283997 | + | 0.958825i | \(0.591661\pi\) | |||||||
\(192\) | 1.92970 | − | 1.40201i | 0.139264 | − | 0.101181i | ||||
\(193\) | 1.86166 | − | 5.72961i | 0.134005 | − | 0.412426i | −0.861429 | − | 0.507879i | \(-0.830430\pi\) |
0.995434 | + | 0.0954525i | \(0.0304298\pi\) | |||||||
\(194\) | 0.00623336 | + | 0.0191843i | 0.000447529 | + | 0.00137735i | ||||
\(195\) | −4.47915 | − | 13.7854i | −0.320758 | − | 0.987193i | ||||
\(196\) | −1.55463 | −0.111045 | ||||||||
\(197\) | −0.665921 | − | 2.04949i | −0.0474449 | − | 0.146020i | 0.924528 | − | 0.381115i | \(-0.124460\pi\) |
−0.971972 | + | 0.235095i | \(0.924460\pi\) | |||||||
\(198\) | 21.3571 | + | 15.5168i | 1.51778 | + | 1.10273i | ||||
\(199\) | −0.708312 | + | 0.514619i | −0.0502109 | + | 0.0364803i | −0.612608 | − | 0.790387i | \(-0.709879\pi\) |
0.562397 | + | 0.826868i | \(0.309879\pi\) | |||||||
\(200\) | 1.48246 | − | 4.56255i | 0.104826 | − | 0.322621i | ||||
\(201\) | 6.49023 | − | 19.9749i | 0.457786 | − | 1.40892i | ||||
\(202\) | 5.10438 | 0.359143 | ||||||||
\(203\) | −4.11511 | + | 2.98981i | −0.288824 | + | 0.209843i | ||||
\(204\) | 12.0340 | 0.842549 | ||||||||
\(205\) | 16.0698 | + | 5.44746i | 1.12237 | + | 0.380467i | ||||
\(206\) | −6.78803 | −0.472945 | ||||||||
\(207\) | −8.58199 | + | 6.23518i | −0.596489 | + | 0.433375i | ||||
\(208\) | 2.77787 | 0.192611 | ||||||||
\(209\) | −15.9992 | + | 49.2405i | −1.10669 | + | 3.40604i | ||||
\(210\) | 1.64222 | − | 5.05424i | 0.113324 | − | 0.348775i | ||||
\(211\) | 20.4740 | − | 14.8752i | 1.40949 | − | 1.02405i | 0.416093 | − | 0.909322i | \(-0.363399\pi\) |
0.993396 | − | 0.114732i | \(-0.0366010\pi\) | |||||||
\(212\) | 7.56965 | + | 5.49967i | 0.519886 | + | 0.377719i | ||||
\(213\) | −7.41331 | − | 22.8158i | −0.507952 | − | 1.56331i | ||||
\(214\) | 8.40529 | 0.574574 | ||||||||
\(215\) | −1.59989 | − | 4.92396i | −0.109112 | − | 0.335812i | ||||
\(216\) | −6.67492 | − | 20.5433i | −0.454171 | − | 1.39779i | ||||
\(217\) | −1.21893 | + | 3.75148i | −0.0827464 | + | 0.254667i | ||||
\(218\) | 3.61446 | − | 2.62606i | 0.244802 | − | 0.177859i | ||||
\(219\) | −20.1692 | −1.36291 | ||||||||
\(220\) | −8.35108 | + | 25.7020i | −0.563030 | + | 1.73283i | ||||
\(221\) | −3.79334 | − | 2.75602i | −0.255168 | − | 0.185390i | ||||
\(222\) | −1.15894 | − | 3.56684i | −0.0777828 | − | 0.239391i | ||||
\(223\) | 3.33687 | − | 2.42438i | 0.223453 | − | 0.162348i | −0.470426 | − | 0.882439i | \(-0.655900\pi\) |
0.693880 | + | 0.720091i | \(0.255900\pi\) | |||||||
\(224\) | 4.66231 | + | 3.38736i | 0.311514 | + | 0.226328i | ||||
\(225\) | −9.86571 | − | 7.16786i | −0.657714 | − | 0.477857i | ||||
\(226\) | −1.52803 | − | 1.11018i | −0.101643 | − | 0.0738480i | ||||
\(227\) | −7.05295 | − | 5.12427i | −0.468121 | − | 0.340110i | 0.328588 | − | 0.944474i | \(-0.393427\pi\) |
−0.796709 | + | 0.604364i | \(0.793427\pi\) | |||||||
\(228\) | 29.8299 | − | 21.6727i | 1.97553 | − | 1.43531i | ||||
\(229\) | 2.13274 | + | 6.56391i | 0.140936 | + | 0.433755i | 0.996466 | − | 0.0839974i | \(-0.0267687\pi\) |
−0.855530 | + | 0.517753i | \(0.826769\pi\) | |||||||
\(230\) | 2.51689 | + | 1.82863i | 0.165959 | + | 0.120576i | ||||
\(231\) | −6.09150 | + | 18.7477i | −0.400791 | + | 1.23351i | ||||
\(232\) | 12.0665 | 0.792204 | ||||||||
\(233\) | −9.52984 | + | 6.92384i | −0.624321 | + | 0.453596i | −0.854428 | − | 0.519570i | \(-0.826092\pi\) |
0.230107 | + | 0.973165i | \(0.426092\pi\) | |||||||
\(234\) | −2.26359 | + | 6.96662i | −0.147976 | + | 0.455422i | ||||
\(235\) | 7.37093 | + | 22.6854i | 0.480827 | + | 1.47983i | ||||
\(236\) | 0.278506 | + | 0.857153i | 0.0181292 | + | 0.0557959i | ||||
\(237\) | −26.4684 | −1.71931 | ||||||||
\(238\) | −0.531230 | − | 1.63496i | −0.0344345 | − | 0.105979i | ||||
\(239\) | −20.1639 | − | 14.6500i | −1.30430 | − | 0.947628i | −0.304310 | − | 0.952573i | \(-0.598426\pi\) |
−0.999988 | + | 0.00494564i | \(0.998426\pi\) | |||||||
\(240\) | 9.83173 | − | 7.14317i | 0.634635 | − | 0.461089i | ||||
\(241\) | 7.15550 | − | 22.0224i | 0.460926 | − | 1.41858i | −0.403109 | − | 0.915152i | \(-0.632070\pi\) |
0.864035 | − | 0.503432i | \(-0.167930\pi\) | |||||||
\(242\) | −6.60583 | + | 20.3306i | −0.424639 | + | 1.30690i | ||||
\(243\) | −0.545852 | −0.0350164 | ||||||||
\(244\) | −2.73877 | + | 1.98983i | −0.175332 | + | 0.127386i | ||||
\(245\) | 2.64996 | 0.169300 | ||||||||
\(246\) | −7.41556 | − | 10.4835i | −0.472799 | − | 0.668401i | ||||
\(247\) | −14.3664 | −0.914112 | ||||||||
\(248\) | 7.57027 | − | 5.50012i | 0.480712 | − | 0.349258i | ||||
\(249\) | 21.4246 | 1.35773 | ||||||||
\(250\) | 1.62730 | − | 5.00830i | 0.102919 | − | 0.316753i | ||||
\(251\) | −6.09844 | + | 18.7691i | −0.384930 | + | 1.18469i | 0.551601 | + | 0.834108i | \(0.314017\pi\) |
−0.936531 | + | 0.350585i | \(0.885983\pi\) | |||||||
\(252\) | 7.58420 | − | 5.51024i | 0.477759 | − | 0.347113i | ||||
\(253\) | −9.33591 | − | 6.78294i | −0.586944 | − | 0.426440i | ||||
\(254\) | −3.42082 | − | 10.5282i | −0.214641 | − | 0.660598i | ||||
\(255\) | −20.5128 | −1.28456 | ||||||||
\(256\) | −2.75826 | − | 8.48907i | −0.172392 | − | 0.530567i | ||||
\(257\) | 4.35474 | + | 13.4025i | 0.271641 | + | 0.836026i | 0.990089 | + | 0.140445i | \(0.0448532\pi\) |
−0.718447 | + | 0.695582i | \(0.755147\pi\) | |||||||
\(258\) | −1.21077 | + | 3.72636i | −0.0753791 | + | 0.231993i | ||||
\(259\) | 1.51295 | − | 1.09922i | 0.0940103 | − | 0.0683025i | ||||
\(260\) | −7.49880 | −0.465056 | ||||||||
\(261\) | 9.47835 | − | 29.1714i | 0.586695 | − | 1.80566i | ||||
\(262\) | −10.8958 | − | 7.91623i | −0.673142 | − | 0.489066i | ||||
\(263\) | −6.27944 | − | 19.3261i | −0.387207 | − | 1.19170i | −0.934866 | − | 0.355000i | \(-0.884481\pi\) |
0.547659 | − | 0.836701i | \(-0.315519\pi\) | |||||||
\(264\) | 37.8317 | − | 27.4864i | 2.32838 | − | 1.69167i | ||||
\(265\) | −12.9030 | − | 9.37456i | −0.792623 | − | 0.575875i | ||||
\(266\) | −4.26130 | − | 3.09601i | −0.261277 | − | 0.189829i | ||||
\(267\) | 43.0154 | + | 31.2525i | 2.63250 | + | 1.91262i | ||||
\(268\) | −8.79051 | − | 6.38668i | −0.536966 | − | 0.390129i | ||||
\(269\) | −2.37722 | + | 1.72715i | −0.144942 | + | 0.105306i | −0.657893 | − | 0.753111i | \(-0.728552\pi\) |
0.512951 | + | 0.858418i | \(0.328552\pi\) | |||||||
\(270\) | 4.97613 | + | 15.3150i | 0.302838 | + | 0.932039i | ||||
\(271\) | 1.48800 | + | 1.08110i | 0.0903896 | + | 0.0656719i | 0.632062 | − | 0.774918i | \(-0.282209\pi\) |
−0.541673 | + | 0.840590i | \(0.682209\pi\) | |||||||
\(272\) | 1.21480 | − | 3.73878i | 0.0736582 | − | 0.226697i | ||||
\(273\) | −5.46983 | −0.331049 | ||||||||
\(274\) | 1.69300 | − | 1.23004i | 0.102278 | − | 0.0743093i | ||||
\(275\) | 4.09941 | − | 12.6167i | 0.247204 | − | 0.760816i | ||||
\(276\) | 2.53956 | + | 7.81597i | 0.152864 | + | 0.470466i | ||||
\(277\) | −1.06517e−6 | 0 | 3.27824e-6i | −6.39996e−8 | 0 | 1.96971e-7i | 0.951056 | − | 0.309017i | \(-0.100000\pi\) |
−0.951057 | + | 0.309017i | \(0.900000\pi\) | |||||||
\(278\) | −1.25494 | −0.0752663 | ||||||||
\(279\) | −7.35031 | − | 22.6219i | −0.440051 | − | 1.35434i | ||||
\(280\) | −5.08574 | − | 3.69500i | −0.303931 | − | 0.220819i | ||||
\(281\) | −16.5538 | + | 12.0270i | −0.987514 | + | 0.717471i | −0.959375 | − | 0.282133i | \(-0.908958\pi\) |
−0.0281387 | + | 0.999604i | \(0.508958\pi\) | |||||||
\(282\) | 5.57818 | − | 17.1679i | 0.332176 | − | 1.02233i | ||||
\(283\) | 1.42695 | − | 4.39169i | 0.0848231 | − | 0.261059i | −0.899645 | − | 0.436622i | \(-0.856175\pi\) |
0.984468 | + | 0.175563i | \(0.0561747\pi\) | |||||||
\(284\) | −12.4111 | −0.736460 | ||||||||
\(285\) | −50.8470 | + | 36.9425i | −3.01192 | + | 2.18829i | ||||
\(286\) | −7.96865 | −0.471196 | ||||||||
\(287\) | 3.82900 | − | 5.13213i | 0.226018 | − | 0.302940i | ||||
\(288\) | −34.7512 | −2.04773 | ||||||||
\(289\) | 8.38504 | − | 6.09209i | 0.493237 | − | 0.358358i | ||||
\(290\) | −8.99553 | −0.528236 | ||||||||
\(291\) | 0.0280677 | − | 0.0863834i | 0.00164536 | − | 0.00506389i | ||||
\(292\) | −3.22440 | + | 9.92370i | −0.188694 | + | 0.580740i | ||||
\(293\) | −11.0368 | + | 8.01874i | −0.644780 | + | 0.468460i | −0.861489 | − | 0.507776i | \(-0.830468\pi\) |
0.216709 | + | 0.976236i | \(0.430468\pi\) | |||||||
\(294\) | −1.62244 | − | 1.17877i | −0.0946223 | − | 0.0687472i | ||||
\(295\) | −0.474732 | − | 1.46107i | −0.0276400 | − | 0.0850671i | ||||
\(296\) | −4.43634 | −0.257857 | ||||||||
\(297\) | −18.4580 | − | 56.8079i | −1.07104 | − | 3.29633i | ||||
\(298\) | −1.95079 | − | 6.00391i | −0.113006 | − | 0.347797i | ||||
\(299\) | 0.989494 | − | 3.04535i | 0.0572239 | − | 0.176117i | ||||
\(300\) | −7.64319 | + | 5.55310i | −0.441280 | + | 0.320609i | ||||
\(301\) | −1.95375 | −0.112612 | ||||||||
\(302\) | −1.77816 | + | 5.47261i | −0.102322 | + | 0.314914i | ||||
\(303\) | −18.5945 | − | 13.5097i | −1.06823 | − | 0.776112i | ||||
\(304\) | −3.72211 | − | 11.4555i | −0.213478 | − | 0.657017i | ||||
\(305\) | 4.66841 | − | 3.39180i | 0.267312 | − | 0.194214i | ||||
\(306\) | 8.38657 | + | 6.09320i | 0.479428 | + | 0.348325i | ||||
\(307\) | 2.33220 | + | 1.69444i | 0.133106 | + | 0.0967068i | 0.652346 | − | 0.757921i | \(-0.273785\pi\) |
−0.519240 | + | 0.854628i | \(0.673785\pi\) | |||||||
\(308\) | 8.25046 | + | 5.99431i | 0.470114 | + | 0.341558i | ||||
\(309\) | 24.7278 | + | 17.9658i | 1.40672 | + | 1.02204i | ||||
\(310\) | −5.64361 | + | 4.10032i | −0.320535 | + | 0.232883i | ||||
\(311\) | 4.29837 | + | 13.2290i | 0.243738 | + | 0.750149i | 0.995841 | + | 0.0911034i | \(0.0290394\pi\) |
−0.752103 | + | 0.659045i | \(0.770961\pi\) | |||||||
\(312\) | 10.4975 | + | 7.62691i | 0.594307 | + | 0.431789i | ||||
\(313\) | 9.42260 | − | 28.9998i | 0.532597 | − | 1.63916i | −0.216189 | − | 0.976352i | \(-0.569363\pi\) |
0.748786 | − | 0.662812i | \(-0.230637\pi\) | |||||||
\(314\) | 15.2958 | 0.863192 | ||||||||
\(315\) | −12.9278 | + | 9.39257i | −0.728397 | + | 0.529211i | ||||
\(316\) | −4.23145 | + | 13.0231i | −0.238038 | + | 0.732604i | ||||
\(317\) | −7.47659 | − | 23.0106i | −0.419927 | − | 1.29240i | −0.907769 | − | 0.419470i | \(-0.862216\pi\) |
0.487842 | − | 0.872932i | \(-0.337784\pi\) | |||||||
\(318\) | 3.72979 | + | 11.4791i | 0.209156 | + | 0.643717i | ||||
\(319\) | 33.3672 | 1.86820 | ||||||||
\(320\) | 0.649991 | + | 2.00047i | 0.0363356 | + | 0.111829i | ||||
\(321\) | −30.6192 | − | 22.2462i | −1.70900 | − | 1.24166i | ||||
\(322\) | 0.949783 | − | 0.690058i | 0.0529294 | − | 0.0384554i | ||||
\(323\) | −6.28263 | + | 19.3359i | −0.349575 | + | 1.07588i | ||||
\(324\) | −4.45433 | + | 13.7090i | −0.247463 | + | 0.761612i | ||||
\(325\) | 3.68105 | 0.204188 | ||||||||
\(326\) | 8.63100 | − | 6.27079i | 0.478027 | − | 0.347307i | ||||
\(327\) | −20.1173 | −1.11249 | ||||||||
\(328\) | −14.5046 | + | 4.51045i | −0.800880 | + | 0.249048i | ||||
\(329\) | 9.00121 | 0.496253 | ||||||||
\(330\) | −28.2034 | + | 20.4910i | −1.55255 | + | 1.12799i | ||||
\(331\) | 2.49496 | 0.137136 | 0.0685678 | − | 0.997646i | \(-0.478157\pi\) | ||||
0.0685678 | + | 0.997646i | \(0.478157\pi\) | |||||||
\(332\) | 3.42510 | − | 10.5414i | 0.187977 | − | 0.578533i | ||||
\(333\) | −3.48479 | + | 10.7251i | −0.190965 | + | 0.587730i | ||||
\(334\) | −6.14645 | + | 4.46565i | −0.336319 | + | 0.244350i | ||||
\(335\) | 14.9840 | + | 10.8865i | 0.818664 | + | 0.594794i | ||||
\(336\) | −1.41715 | − | 4.36153i | −0.0773117 | − | 0.237941i | ||||
\(337\) | 5.15517 | 0.280820 | 0.140410 | − | 0.990093i | \(-0.455158\pi\) | ||||
0.140410 | + | 0.990093i | \(0.455158\pi\) | |||||||
\(338\) | 1.99767 | + | 6.14819i | 0.108659 | + | 0.334418i | ||||
\(339\) | 2.62809 | + | 8.08843i | 0.142738 | + | 0.439303i | ||||
\(340\) | −3.27933 | + | 10.0927i | −0.177847 | + | 0.547356i | ||||
\(341\) | 20.9339 | − | 15.2093i | 1.13363 | − | 0.823632i | ||||
\(342\) | 31.7622 | 1.71750 | ||||||||
\(343\) | 0.309017 | − | 0.951057i | 0.0166853 | − | 0.0513522i | ||||
\(344\) | 3.74959 | + | 2.72423i | 0.202164 | + | 0.146881i | ||||
\(345\) | −4.32885 | − | 13.3228i | −0.233058 | − | 0.717278i | ||||
\(346\) | 9.73366 | − | 7.07191i | 0.523285 | − | 0.380189i | ||||
\(347\) | −6.34348 | − | 4.60881i | −0.340536 | − | 0.247414i | 0.404352 | − | 0.914603i | \(-0.367497\pi\) |
−0.744888 | + | 0.667190i | \(0.767497\pi\) | |||||||
\(348\) | −19.2245 | − | 13.9674i | −1.03054 | − | 0.748731i | ||||
\(349\) | 23.2871 | + | 16.9190i | 1.24653 | + | 0.905655i | 0.998015 | − | 0.0629733i | \(-0.0200583\pi\) |
0.248512 | + | 0.968629i | \(0.420058\pi\) | |||||||
\(350\) | 1.09186 | + | 0.793279i | 0.0583621 | + | 0.0424026i | ||||
\(351\) | 13.4088 | − | 9.74210i | 0.715711 | − | 0.519995i | ||||
\(352\) | −11.6821 | − | 35.9538i | −0.622658 | − | 1.91634i | ||||
\(353\) | 17.3328 | + | 12.5930i | 0.922534 | + | 0.670260i | 0.944153 | − | 0.329506i | \(-0.106882\pi\) |
−0.0216196 | + | 0.999766i | \(0.506882\pi\) | |||||||
\(354\) | −0.359268 | + | 1.10571i | −0.0190949 | + | 0.0587680i | ||||
\(355\) | 21.1555 | 1.12282 | ||||||||
\(356\) | 22.2537 | − | 16.1683i | 1.17944 | − | 0.856917i | ||||
\(357\) | −2.39203 | + | 7.36191i | −0.126600 | + | 0.389634i | ||||
\(358\) | −1.31423 | − | 4.04478i | −0.0694592 | − | 0.213773i | ||||
\(359\) | −4.59942 | − | 14.1555i | −0.242748 | − | 0.747101i | −0.995999 | − | 0.0893678i | \(-0.971515\pi\) |
0.753251 | − | 0.657733i | \(-0.228485\pi\) | |||||||
\(360\) | 37.9073 | 1.99789 | ||||||||
\(361\) | 13.3784 | + | 41.1746i | 0.704128 | + | 2.16708i | ||||
\(362\) | −4.41416 | − | 3.20708i | −0.232003 | − | 0.168560i | ||||
\(363\) | 77.8729 | − | 56.5780i | 4.08727 | − | 2.96957i | ||||
\(364\) | −0.874449 | + | 2.69128i | −0.0458336 | + | 0.141061i | ||||
\(365\) | 5.49621 | − | 16.9156i | 0.287685 | − | 0.885403i | ||||
\(366\) | −4.36698 | −0.228266 | ||||||||
\(367\) | 23.1852 | − | 16.8450i | 1.21026 | − | 0.879304i | 0.215004 | − | 0.976613i | \(-0.431024\pi\) |
0.995254 | + | 0.0973095i | \(0.0310237\pi\) | |||||||
\(368\) | 2.68466 | 0.139948 | ||||||||
\(369\) | −0.489223 | + | 38.6085i | −0.0254680 | + | 2.00988i | ||||
\(370\) | 3.30727 | 0.171937 | ||||||||
\(371\) | −4.86912 | + | 3.53762i | −0.252792 | + | 0.183664i | ||||
\(372\) | −18.4276 | −0.955428 | ||||||||
\(373\) | 8.80281 | − | 27.0923i | 0.455792 | − | 1.40278i | −0.414411 | − | 0.910090i | \(-0.636012\pi\) |
0.870203 | − | 0.492694i | \(-0.163988\pi\) | |||||||
\(374\) | −3.48480 | + | 10.7251i | −0.180195 | + | 0.554582i | ||||
\(375\) | −19.1834 | + | 13.9376i | −0.990627 | + | 0.719732i | ||||
\(376\) | −17.2749 | − | 12.5509i | −0.890884 | − | 0.647265i | ||||
\(377\) | 2.86110 | + | 8.80556i | 0.147354 | + | 0.453510i | ||||
\(378\) | 6.07673 | 0.312553 | ||||||||
\(379\) | −4.49995 | − | 13.8494i | −0.231147 | − | 0.711397i | −0.997609 | − | 0.0691077i | \(-0.977985\pi\) |
0.766462 | − | 0.642289i | \(-0.222015\pi\) | |||||||
\(380\) | 10.0478 | + | 30.9238i | 0.515439 | + | 1.58636i | ||||
\(381\) | −15.4033 | + | 47.4066i | −0.789136 | + | 2.42871i | ||||
\(382\) | −4.23820 | + | 3.07923i | −0.216845 | + | 0.157547i | ||||
\(383\) | −8.19279 | −0.418632 | −0.209316 | − | 0.977848i | \(-0.567124\pi\) | ||||
−0.209316 | + | 0.977848i | \(0.567124\pi\) | |||||||
\(384\) | −10.2110 | + | 31.4263i | −0.521079 | + | 1.60372i | ||||
\(385\) | −14.0635 | − | 10.2177i | −0.716740 | − | 0.520742i | ||||
\(386\) | −1.24241 | − | 3.82374i | −0.0632369 | − | 0.194623i | ||||
\(387\) | 9.53131 | − | 6.92491i | 0.484504 | − | 0.352013i | ||||
\(388\) | −0.0380155 | − | 0.0276199i | −0.00192994 | − | 0.00140219i | ||||
\(389\) | 8.76902 | + | 6.37106i | 0.444607 | + | 0.323026i | 0.787463 | − | 0.616362i | \(-0.211394\pi\) |
−0.342856 | + | 0.939388i | \(0.611394\pi\) | |||||||
\(390\) | −7.82589 | − | 5.68584i | −0.396279 | − | 0.287914i | ||||
\(391\) | −3.66606 | − | 2.66355i | −0.185401 | − | 0.134701i | ||||
\(392\) | −1.91917 | + | 1.39436i | −0.0969329 | + | 0.0704259i | ||||
\(393\) | 18.7399 | + | 57.6753i | 0.945301 | + | 2.90934i | ||||
\(394\) | −1.16349 | − | 0.845321i | −0.0586155 | − | 0.0425867i | ||||
\(395\) | 7.21279 | − | 22.1987i | 0.362915 | − | 1.11694i | ||||
\(396\) | −61.4960 | −3.09029 | ||||||||
\(397\) | −25.4638 | + | 18.5006i | −1.27799 | + | 0.928517i | −0.999490 | − | 0.0319189i | \(-0.989838\pi\) |
−0.278503 | + | 0.960435i | \(0.589838\pi\) | |||||||
\(398\) | −0.180556 | + | 0.555694i | −0.00905046 | + | 0.0278544i | ||||
\(399\) | 7.32910 | + | 22.5567i | 0.366914 | + | 1.12924i | ||||
\(400\) | 0.953702 | + | 2.93519i | 0.0476851 | + | 0.146760i | ||||
\(401\) | 17.5634 | 0.877072 | 0.438536 | − | 0.898714i | \(-0.355497\pi\) | ||||
0.438536 | + | 0.898714i | \(0.355497\pi\) | |||||||
\(402\) | −4.33135 | − | 13.3305i | −0.216028 | − | 0.664866i | ||||
\(403\) | 5.80873 | + | 4.22029i | 0.289353 | + | 0.210228i | ||||
\(404\) | −9.61975 | + | 6.98916i | −0.478600 | + | 0.347724i | ||||
\(405\) | 7.59270 | − | 23.3679i | 0.377284 | − | 1.16116i | ||||
\(406\) | −1.04899 | + | 3.22845i | −0.0520603 | + | 0.160225i | ||||
\(407\) | −12.2677 | −0.608087 | ||||||||
\(408\) | 14.8559 | − | 10.7934i | 0.735476 | − | 0.534355i | ||||
\(409\) | −8.20219 | −0.405572 | −0.202786 | − | 0.979223i | \(-0.565000\pi\) | ||||
−0.202786 | + | 0.979223i | \(0.565000\pi\) | |||||||
\(410\) | 10.8131 | − | 3.36253i | 0.534021 | − | 0.166063i | ||||
\(411\) | −9.42288 | −0.464796 | ||||||||
\(412\) | 12.7928 | − | 9.29449i | 0.630254 | − | 0.457907i | ||||
\(413\) | −0.579731 | −0.0285267 | ||||||||
\(414\) | −2.18764 | + | 6.73286i | −0.107517 | + | 0.330902i | ||||
\(415\) | −5.83831 | + | 17.9685i | −0.286591 | + | 0.882038i | ||||
\(416\) | 8.48648 | − | 6.16579i | 0.416084 | − | 0.302303i | ||||
\(417\) | 4.57156 | + | 3.32144i | 0.223870 | + | 0.162651i | ||||
\(418\) | 10.6773 | + | 32.8614i | 0.522244 | + | 1.60730i | ||||
\(419\) | 0.798443 | 0.0390065 | 0.0195032 | − | 0.999810i | \(-0.493792\pi\) | ||||
0.0195032 | + | 0.999810i | \(0.493792\pi\) | |||||||
\(420\) | 3.82555 | + | 11.7738i | 0.186668 | + | 0.574505i | ||||
\(421\) | 3.42160 | + | 10.5306i | 0.166759 | + | 0.513230i | 0.999162 | − | 0.0409406i | \(-0.0130354\pi\) |
−0.832403 | + | 0.554171i | \(0.813035\pi\) | |||||||
\(422\) | 5.21904 | − | 16.0626i | 0.254059 | − | 0.781913i | ||||
\(423\) | −43.9121 | + | 31.9040i | −2.13508 | + | 1.55123i | ||||
\(424\) | 14.2774 | 0.693372 | ||||||||
\(425\) | 1.60977 | − | 4.95437i | 0.0780854 | − | 0.240322i | ||||
\(426\) | −12.9524 | − | 9.41047i | −0.627546 | − | 0.455939i | ||||
\(427\) | −0.672906 | − | 2.07099i | −0.0325642 | − | 0.100222i | ||||
\(428\) | −15.8407 | + | 11.5089i | −0.765687 | + | 0.556304i | ||||
\(429\) | 29.0286 | + | 21.0905i | 1.40151 | + | 1.01826i | ||||
\(430\) | −2.79530 | − | 2.03091i | −0.134802 | − | 0.0979390i | ||||
\(431\) | −18.7327 | − | 13.6101i | −0.902322 | − | 0.655576i | 0.0367391 | − | 0.999325i | \(-0.488303\pi\) |
−0.939061 | + | 0.343749i | \(0.888303\pi\) | |||||||
\(432\) | 11.2422 | + | 8.16792i | 0.540890 | + | 0.392979i | ||||
\(433\) | 10.5956 | − | 7.69814i | 0.509191 | − | 0.369949i | −0.303325 | − | 0.952887i | \(-0.598097\pi\) |
0.812517 | + | 0.582938i | \(0.198097\pi\) | |||||||
\(434\) | 0.813471 | + | 2.50361i | 0.0390479 | + | 0.120177i | ||||
\(435\) | 32.7694 | + | 23.8083i | 1.57117 | + | 1.14152i | ||||
\(436\) | −3.21611 | + | 9.89818i | −0.154024 | + | 0.474037i | ||||
\(437\) | −13.8843 | −0.664179 | ||||||||
\(438\) | −10.8895 | + | 7.91170i | −0.520321 | + | 0.378036i | ||||
\(439\) | −1.71225 | + | 5.26976i | −0.0817211 | + | 0.251512i | −0.983566 | − | 0.180548i | \(-0.942213\pi\) |
0.901845 | + | 0.432060i | \(0.142213\pi\) | |||||||
\(440\) | 12.7431 | + | 39.2191i | 0.607501 | + | 1.86970i | ||||
\(441\) | 1.86341 | + | 5.73499i | 0.0887338 | + | 0.273095i | ||||
\(442\) | −3.12916 | −0.148839 | ||||||||
\(443\) | 7.47436 | + | 23.0037i | 0.355118 | + | 1.09294i | 0.955941 | + | 0.293558i | \(0.0948395\pi\) |
−0.600823 | + | 0.799382i | \(0.705161\pi\) | |||||||
\(444\) | 7.06802 | + | 5.13522i | 0.335434 | + | 0.243707i | ||||
\(445\) | −37.9329 | + | 27.5599i | −1.79819 | + | 1.30646i | ||||
\(446\) | 0.850603 | − | 2.61789i | 0.0402772 | − | 0.123961i | ||||
\(447\) | −8.78403 | + | 27.0345i | −0.415470 | + | 1.27869i | ||||
\(448\) | 0.793753 | 0.0375013 | ||||||||
\(449\) | 13.1114 | − | 9.52597i | 0.618764 | − | 0.449558i | −0.233726 | − | 0.972303i | \(-0.575092\pi\) |
0.852490 | + | 0.522744i | \(0.175092\pi\) | |||||||
\(450\) | −8.13830 | −0.383643 | ||||||||
\(451\) | −40.1091 | + | 12.4726i | −1.88866 | + | 0.587314i | ||||
\(452\) | 4.39984 | 0.206951 | ||||||||
\(453\) | 20.9619 | − | 15.2297i | 0.984875 | − | 0.715553i | ||||
\(454\) | −5.81803 | −0.273054 | ||||||||
\(455\) | 1.49056 | − | 4.58746i | 0.0698784 | − | 0.215064i | ||||
\(456\) | 17.3863 | − | 53.5095i | 0.814188 | − | 2.50581i | ||||
\(457\) | 24.0377 | − | 17.4644i | 1.12443 | − | 0.816949i | 0.139559 | − | 0.990214i | \(-0.455432\pi\) |
0.984875 | + | 0.173264i | \(0.0554315\pi\) | |||||||
\(458\) | 3.72629 | + | 2.70731i | 0.174118 | + | 0.126504i | ||||
\(459\) | −7.24815 | − | 22.3075i | −0.338315 | − | 1.04123i | ||||
\(460\) | −7.24718 | −0.337902 | ||||||||
\(461\) | 0.780257 | + | 2.40138i | 0.0363402 | + | 0.111844i | 0.967581 | − | 0.252561i | \(-0.0812727\pi\) |
−0.931241 | + | 0.364404i | \(0.881273\pi\) | |||||||
\(462\) | 4.06525 | + | 12.5115i | 0.189132 | + | 0.582090i | ||||
\(463\) | −4.64527 | + | 14.2967i | −0.215884 | + | 0.664423i | 0.783206 | + | 0.621763i | \(0.213583\pi\) |
−0.999090 | + | 0.0426600i | \(0.986417\pi\) | |||||||
\(464\) | −6.28012 | + | 4.56277i | −0.291547 | + | 0.211821i | ||||
\(465\) | 31.4111 | 1.45666 | ||||||||
\(466\) | −2.42926 | + | 7.47648i | −0.112533 | + | 0.346341i | ||||
\(467\) | 4.33532 | + | 3.14979i | 0.200615 | + | 0.145755i | 0.683557 | − | 0.729897i | \(-0.260432\pi\) |
−0.482942 | + | 0.875652i | \(0.660432\pi\) | |||||||
\(468\) | −5.27304 | − | 16.2287i | −0.243746 | − | 0.750174i | ||||
\(469\) | 5.65443 | − | 4.10818i | 0.261097 | − | 0.189698i | ||||
\(470\) | 12.8784 | + | 9.35668i | 0.594035 | + | 0.431591i | ||||
\(471\) | −55.7204 | − | 40.4832i | −2.56746 | − | 1.86537i | ||||
\(472\) | 1.11260 | + | 0.808355i | 0.0512118 | + | 0.0372075i | ||||
\(473\) | 10.3686 | + | 7.53326i | 0.476750 | + | 0.346379i | ||||
\(474\) | −14.2905 | + | 10.3827i | −0.656386 | + | 0.476892i | ||||
\(475\) | −4.93229 | − | 15.1800i | −0.226309 | − | 0.696507i | ||||
\(476\) | 3.23982 | + | 2.35387i | 0.148497 | + | 0.107889i | ||||
\(477\) | 11.2150 | − | 34.5164i | 0.513502 | − | 1.58040i | ||||
\(478\) | −16.6334 | −0.760794 | ||||||||
\(479\) | 18.4156 | − | 13.3797i | 0.841429 | − | 0.611334i | −0.0813408 | − | 0.996686i | \(-0.525920\pi\) |
0.922769 | + | 0.385353i | \(0.125920\pi\) | |||||||
\(480\) | 14.1812 | − | 43.6452i | 0.647279 | − | 1.99212i | ||||
\(481\) | −1.05191 | − | 3.23743i | −0.0479628 | − | 0.147614i | ||||
\(482\) | −4.77532 | − | 14.6969i | −0.217510 | − | 0.669427i | ||||
\(483\) | −5.28629 | −0.240534 | ||||||||
\(484\) | −15.3883 | − | 47.3603i | −0.699467 | − | 2.15274i | ||||
\(485\) | 0.0647999 | + | 0.0470799i | 0.00294241 | + | 0.00213779i | ||||
\(486\) | −0.294710 | + | 0.214120i | −0.0133683 | + | 0.00971266i | ||||
\(487\) | 1.27379 | − | 3.92032i | 0.0577210 | − | 0.177647i | −0.918039 | − | 0.396490i | \(-0.870228\pi\) |
0.975760 | + | 0.218843i | \(0.0702282\pi\) | |||||||
\(488\) | −1.59629 | + | 4.91287i | −0.0722605 | + | 0.222395i | ||||
\(489\) | −48.0383 | −2.17237 | ||||||||
\(490\) | 1.43074 | − | 1.03949i | 0.0646341 | − | 0.0469595i | ||||
\(491\) | −14.6553 | −0.661385 | −0.330692 | − | 0.943739i | \(-0.607282\pi\) | ||||
−0.330692 | + | 0.943739i | \(0.607282\pi\) | |||||||
\(492\) | 28.3298 | + | 9.60344i | 1.27721 | + | 0.432957i | ||||
\(493\) | 13.1027 | 0.590117 | ||||||||
\(494\) | −7.75655 | + | 5.63546i | −0.348984 | + | 0.253551i | ||||
\(495\) | 104.824 | 4.71149 | ||||||||
\(496\) | −1.86022 | + | 5.72518i | −0.0835265 | + | 0.257068i | ||||
\(497\) | 2.46698 | − | 7.59258i | 0.110659 | − | 0.340574i | ||||
\(498\) | 11.5673 | − | 8.40415i | 0.518344 | − | 0.376599i | ||||
\(499\) | −28.0791 | − | 20.4006i | −1.25699 | − | 0.913258i | −0.258385 | − | 0.966042i | \(-0.583190\pi\) |
−0.998606 | + | 0.0527844i | \(0.983190\pi\) | |||||||
\(500\) | 3.79079 | + | 11.6668i | 0.169529 | + | 0.521757i | ||||
\(501\) | 34.2098 | 1.52838 | ||||||||
\(502\) | 4.06988 | + | 12.5258i | 0.181648 | + | 0.559054i | ||||
\(503\) | 6.39411 | + | 19.6790i | 0.285099 | + | 0.877445i | 0.986369 | + | 0.164549i | \(0.0526169\pi\) |
−0.701270 | + | 0.712896i | \(0.747383\pi\) | |||||||
\(504\) | 4.42044 | − | 13.6047i | 0.196902 | − | 0.606002i | ||||
\(505\) | 16.3975 | − | 11.9135i | 0.729679 | − | 0.530143i | ||||
\(506\) | −7.70126 | −0.342363 | ||||||||
\(507\) | 8.99513 | − | 27.6842i | 0.399488 | − | 1.22950i | ||||
\(508\) | 20.8626 | + | 15.1576i | 0.925629 | + | 0.672508i | ||||
\(509\) | −7.21483 | − | 22.2050i | −0.319792 | − | 0.984217i | −0.973737 | − | 0.227676i | \(-0.926887\pi\) |
0.653945 | − | 0.756542i | \(-0.273113\pi\) | |||||||
\(510\) | −11.0750 | + | 8.04647i | −0.490410 | + | 0.356304i | ||||
\(511\) | −5.42999 | − | 3.94512i | −0.240209 | − | 0.174522i | ||||
\(512\) | 12.9729 | + | 9.42539i | 0.573328 | + | 0.416547i | ||||
\(513\) | −58.1415 | − | 42.2423i | −2.56701 | − | 1.86504i | ||||
\(514\) | 7.60853 | + | 5.52792i | 0.335598 | + | 0.243826i | ||||
\(515\) | −21.8061 | + | 15.8431i | −0.960892 | + | 0.698129i | ||||
\(516\) | −2.82049 | − | 8.68056i | −0.124165 | − | 0.382140i | ||||
\(517\) | −47.7698 | − | 34.7068i | −2.10091 | − | 1.52640i | ||||
\(518\) | 0.385667 | − | 1.18696i | 0.0169453 | − | 0.0521521i | ||||
\(519\) | −54.1754 | −2.37804 | ||||||||
\(520\) | −9.25722 | + | 6.72576i | −0.405956 | + | 0.294944i | ||||
\(521\) | −8.12350 | + | 25.0016i | −0.355897 | + | 1.09534i | 0.599591 | + | 0.800307i | \(0.295330\pi\) |
−0.955488 | + | 0.295031i | \(0.904670\pi\) | |||||||
\(522\) | −6.32551 | − | 19.4679i | −0.276860 | − | 0.852088i | ||||
\(523\) | 3.08516 | + | 9.49515i | 0.134905 | + | 0.415194i | 0.995575 | − | 0.0939684i | \(-0.0299553\pi\) |
−0.860670 | + | 0.509162i | \(0.829955\pi\) | |||||||
\(524\) | 31.3735 | 1.37056 | ||||||||
\(525\) | −1.87791 | − | 5.77960i | −0.0819585 | − | 0.252242i | ||||
\(526\) | −10.9713 | − | 7.97114i | −0.478373 | − | 0.347558i | ||||
\(527\) | 8.22038 | − | 5.97246i | 0.358086 | − | 0.260164i | ||||
\(528\) | −9.29630 | + | 28.6111i | −0.404569 | + | 1.24514i | ||||
\(529\) | −6.15110 | + | 18.9311i | −0.267439 | + | 0.823093i | ||||
\(530\) | −10.6438 | −0.462335 | ||||||||
\(531\) | 2.82820 | − | 2.05481i | 0.122734 | − | 0.0891711i | ||||
\(532\) | 12.2701 | 0.531975 | ||||||||
\(533\) | −6.73071 | − | 9.51527i | −0.291540 | − | 0.412152i | ||||
\(534\) | 35.4837 | 1.53553 | ||||||||
\(535\) | 27.0014 | − | 19.6177i | 1.16737 | − | 0.848147i | ||||
\(536\) | −16.5801 | −0.716152 | ||||||||
\(537\) | −5.91773 | + | 18.2129i | −0.255369 | + | 0.785945i | ||||
\(538\) | −0.605978 | + | 1.86501i | −0.0261256 | + | 0.0804062i | ||||
\(539\) | −5.30704 | + | 3.85579i | −0.228591 | + | 0.166081i | ||||
\(540\) | −30.3480 | − | 22.0491i | −1.30597 | − | 0.948843i | ||||
\(541\) | 11.8241 | + | 36.3909i | 0.508358 | + | 1.56457i | 0.795051 | + | 0.606543i | \(0.207444\pi\) |
−0.286693 | + | 0.958023i | \(0.592556\pi\) | |||||||
\(542\) | 1.22746 | 0.0527241 | ||||||||
\(543\) | 7.59201 | + | 23.3658i | 0.325804 | + | 1.00272i | ||||
\(544\) | −4.58736 | − | 14.1185i | −0.196682 | − | 0.605324i | ||||
\(545\) | 5.48208 | − | 16.8721i | 0.234826 | − | 0.722722i | ||||
\(546\) | −2.95321 | + | 2.14563i | −0.126386 | + | 0.0918245i | ||||
\(547\) | −14.4287 | −0.616927 | −0.308463 | − | 0.951236i | \(-0.599815\pi\) | ||||
−0.308463 | + | 0.951236i | \(0.599815\pi\) | |||||||
\(548\) | −1.50642 | + | 4.63627i | −0.0643509 | + | 0.198052i | ||||
\(549\) | 10.6232 | + | 7.71822i | 0.453388 | + | 0.329405i | ||||
\(550\) | −2.73580 | − | 8.41993i | −0.116655 | − | 0.359027i | ||||
\(551\) | 32.4791 | − | 23.5974i | 1.38365 | − | 1.00528i | ||||
\(552\) | 10.1453 | + | 7.37100i | 0.431813 | + | 0.313730i | ||||
\(553\) | −7.12588 | − | 5.17726i | −0.303023 | − | 0.220159i | ||||
\(554\) | −1.86104e−6 | 0 | 1.35212e-6i | −7.90680e−8 | 0 | 5.74463e-8i | ||||
\(555\) | −12.0479 | − | 8.75332i | −0.511405 | − | 0.371558i | ||||
\(556\) | 2.36507 | − | 1.71832i | 0.100301 | − | 0.0728731i | ||||
\(557\) | 6.87824 | + | 21.1691i | 0.291441 | + | 0.896962i | 0.984394 | + | 0.175979i | \(0.0563092\pi\) |
−0.692953 | + | 0.720982i | \(0.743691\pi\) | |||||||
\(558\) | −12.8423 | − | 9.33049i | −0.543659 | − | 0.394991i | ||||
\(559\) | −1.09895 | + | 3.38222i | −0.0464806 | + | 0.143053i | ||||
\(560\) | 4.04413 | 0.170896 | ||||||||
\(561\) | 41.0806 | − | 29.8468i | 1.73443 | − | 1.26013i | ||||
\(562\) | −4.21972 | + | 12.9870i | −0.177998 | + | 0.547822i | ||||
\(563\) | 1.66033 | + | 5.10998i | 0.0699747 | + | 0.215360i | 0.979928 | − | 0.199350i | \(-0.0638831\pi\) |
−0.909954 | + | 0.414710i | \(0.863883\pi\) | |||||||
\(564\) | 12.9944 | + | 39.9926i | 0.547162 | + | 1.68399i | ||||
\(565\) | −7.49982 | −0.315520 | ||||||||
\(566\) | −0.952292 | − | 2.93085i | −0.0400278 | − | 0.123193i | ||||
\(567\) | −7.50122 | − | 5.44995i | −0.315022 | − | 0.228877i | ||||
\(568\) | −15.3214 | + | 11.1316i | −0.642870 | + | 0.467072i | ||||
\(569\) | −1.31538 | + | 4.04833i | −0.0551437 | + | 0.169715i | −0.974835 | − | 0.222927i | \(-0.928439\pi\) |
0.919691 | + | 0.392642i | \(0.128439\pi\) | |||||||
\(570\) | −12.9614 | + | 39.8912i | −0.542895 | + | 1.67086i | ||||
\(571\) | 18.1641 | 0.760146 | 0.380073 | − | 0.924957i | \(-0.375899\pi\) | ||||
0.380073 | + | 0.924957i | \(0.375899\pi\) | |||||||
\(572\) | 15.0178 | − | 10.9110i | 0.627924 | − | 0.456213i | ||||
\(573\) | 23.5889 | 0.985440 | ||||||||
\(574\) | 0.0541432 | − | 4.27287i | 0.00225989 | − | 0.178346i | ||||
\(575\) | 3.55753 | 0.148359 | ||||||||
\(576\) | −3.87230 | + | 2.81339i | −0.161346 | + | 0.117225i | ||||
\(577\) | −33.6722 | −1.40179 | −0.700896 | − | 0.713264i | \(-0.747216\pi\) | ||||
−0.700896 | + | 0.713264i | \(0.747216\pi\) | |||||||
\(578\) | 2.13743 | − | 6.57834i | 0.0889055 | − | 0.273623i | ||||
\(579\) | −5.59433 | + | 17.2176i | −0.232492 | + | 0.715538i | ||||
\(580\) | 16.9530 | − | 12.3171i | 0.703936 | − | 0.511439i | ||||
\(581\) | 5.76797 | + | 4.19068i | 0.239296 | + | 0.173858i | ||||
\(582\) | −0.0187314 | − | 0.0576492i | −0.000776440 | − | 0.00238964i | ||||
\(583\) | 39.4810 | 1.63513 | ||||||||
\(584\) | 4.92017 | + | 15.1427i | 0.203598 | + | 0.626611i | ||||
\(585\) | 8.98824 | + | 27.6630i | 0.371618 | + | 1.14372i | ||||
\(586\) | −2.81341 | + | 8.65878i | −0.116221 | + | 0.357691i | ||||
\(587\) | −1.71846 | + | 1.24854i | −0.0709286 | + | 0.0515326i | −0.622685 | − | 0.782473i | \(-0.713958\pi\) |
0.551756 | + | 0.834006i | \(0.313958\pi\) | |||||||
\(588\) | 4.67167 | 0.192657 | ||||||||
\(589\) | 9.62057 | − | 29.6091i | 0.396409 | − | 1.22002i | ||||
\(590\) | −0.829443 | − | 0.602626i | −0.0341476 | − | 0.0248097i | ||||
\(591\) | 2.00110 | + | 6.15876i | 0.0823144 | + | 0.253338i | ||||
\(592\) | 2.30893 | − | 1.67754i | 0.0948965 | − | 0.0689464i | ||||
\(593\) | 8.48921 | + | 6.16777i | 0.348610 | + | 0.253280i | 0.748286 | − | 0.663377i | \(-0.230877\pi\) |
−0.399676 | + | 0.916657i | \(0.630877\pi\) | |||||||
\(594\) | −32.2495 | − | 23.4306i | −1.32321 | − | 0.961370i | ||||
\(595\) | −5.52249 | − | 4.01232i | −0.226400 | − | 0.164489i | ||||
\(596\) | 11.8973 | + | 8.64389i | 0.487332 | + | 0.354067i | ||||
\(597\) | 2.12849 | − | 1.54644i | 0.0871132 | − | 0.0632915i | ||||
\(598\) | −0.660353 | − | 2.03236i | −0.0270038 | − | 0.0831092i | ||||
\(599\) | −34.7157 | − | 25.2224i | −1.41845 | − | 1.03056i | −0.992026 | − | 0.126036i | \(-0.959775\pi\) |
−0.426420 | − | 0.904525i | \(-0.640225\pi\) | |||||||
\(600\) | −4.45482 | + | 13.7105i | −0.181867 | + | 0.559730i | ||||
\(601\) | 16.0677 | 0.655414 | 0.327707 | − | 0.944779i | \(-0.393724\pi\) | ||||
0.327707 | + | 0.944779i | \(0.393724\pi\) | |||||||
\(602\) | −1.05485 | + | 0.766391i | −0.0429924 | + | 0.0312358i | ||||
\(603\) | −13.0239 | + | 40.0833i | −0.530372 | + | 1.63232i | ||||
\(604\) | −4.14223 | − | 12.7485i | −0.168545 | − | 0.518727i | ||||
\(605\) | 26.2303 | + | 80.7287i | 1.06641 | + | 3.28209i | ||||
\(606\) | −15.3388 | −0.623094 | ||||||||
\(607\) | 6.38944 | + | 19.6647i | 0.259339 | + | 0.798164i | 0.992944 | + | 0.118587i | \(0.0378365\pi\) |
−0.733604 | + | 0.679577i | \(0.762163\pi\) | |||||||
\(608\) | −36.7978 | − | 26.7352i | −1.49235 | − | 1.08426i | ||||
\(609\) | 12.3660 | − | 8.98441i | 0.501095 | − | 0.364067i | ||||
\(610\) | 1.19003 | − | 3.66253i | 0.0481828 | − | 0.148291i | ||||
\(611\) | 5.06302 | − | 15.5824i | 0.204828 | − | 0.630395i | ||||
\(612\) | −24.1485 | −0.976144 | ||||||||
\(613\) | −2.22041 | + | 1.61322i | −0.0896816 | + | 0.0651575i | −0.631722 | − | 0.775195i | \(-0.717652\pi\) |
0.542041 | + | 0.840352i | \(0.317652\pi\) | |||||||
\(614\) | 1.92385 | 0.0776401 | ||||||||
\(615\) | −48.2901 | − | 16.3697i | −1.94724 | − | 0.660090i | ||||
\(616\) | 15.5615 | 0.626991 | ||||||||
\(617\) | −8.60637 | + | 6.25289i | −0.346479 | + | 0.251732i | −0.747391 | − | 0.664385i | \(-0.768694\pi\) |
0.400911 | + | 0.916117i | \(0.368694\pi\) | |||||||
\(618\) | 20.3981 | 0.820534 | ||||||||
\(619\) | 1.19571 | − | 3.68003i | 0.0480598 | − | 0.147913i | −0.924147 | − | 0.382038i | \(-0.875222\pi\) |
0.972207 | + | 0.234125i | \(0.0752225\pi\) | |||||||
\(620\) | 5.02163 | − | 15.4550i | 0.201673 | − | 0.620687i | ||||
\(621\) | 12.9589 | − | 9.41521i | 0.520024 | − | 0.377819i | ||||
\(622\) | 7.51003 | + | 5.45636i | 0.301125 | + | 0.218780i | ||||
\(623\) | 5.46766 | + | 16.8277i | 0.219057 | + | 0.674189i | ||||
\(624\) | −8.34755 | −0.334170 | ||||||||
\(625\) | −9.58626 | − | 29.5035i | −0.383451 | − | 1.18014i | ||||
\(626\) | −6.28830 | − | 19.3534i | −0.251331 | − | 0.773518i | ||||
\(627\) | 48.0779 | − | 147.969i | 1.92005 | − | 5.90930i | ||||
\(628\) | −28.8266 | + | 20.9437i | −1.15030 | + | 0.835745i | ||||
\(629\) | −4.81732 | −0.192079 | ||||||||
\(630\) | −3.29542 | + | 10.1423i | −0.131293 | + | 0.404077i | ||||
\(631\) | 23.3722 | + | 16.9809i | 0.930433 | + | 0.675999i | 0.946099 | − | 0.323878i | \(-0.104987\pi\) |
−0.0156659 | + | 0.999877i | \(0.504987\pi\) | |||||||
\(632\) | 6.45684 | + | 19.8721i | 0.256839 | + | 0.790470i | ||||
\(633\) | −61.5248 | + | 44.7004i | −2.44539 | + | 1.77668i | ||||
\(634\) | −13.0630 | − | 9.49079i | −0.518796 | − | 0.376928i | ||||
\(635\) | −35.5617 | − | 25.8371i | −1.41122 | − | 1.02531i | ||||
\(636\) | −22.7469 | − | 16.5266i | −0.901974 | − | 0.655323i | ||||
\(637\) | −1.47260 | − | 1.06991i | −0.0583465 | − | 0.0423912i | ||||
\(638\) | 18.0152 | − | 13.0888i | 0.713230 | − | 0.518192i | ||||
\(639\) | 14.8762 | + | 45.7842i | 0.588493 | + | 1.81119i | ||||
\(640\) | −23.5742 | − | 17.1277i | −0.931853 | − | 0.677031i | ||||
\(641\) | −0.999445 | + | 3.07597i | −0.0394757 | + | 0.121494i | −0.968852 | − | 0.247639i | \(-0.920345\pi\) |
0.929377 | + | 0.369133i | \(0.120345\pi\) | |||||||
\(642\) | −25.2580 | −0.996855 | ||||||||
\(643\) | −3.57921 | + | 2.60045i | −0.141150 | + | 0.102552i | −0.656120 | − | 0.754657i | \(-0.727803\pi\) |
0.514969 | + | 0.857209i | \(0.327803\pi\) | |||||||
\(644\) | −0.845108 | + | 2.60097i | −0.0333019 | + | 0.102493i | ||||
\(645\) | 4.80770 | + | 14.7966i | 0.189303 | + | 0.582615i | ||||
\(646\) | 4.19280 | + | 12.9041i | 0.164964 | + | 0.507706i | ||||
\(647\) | −13.4900 | −0.530348 | −0.265174 | − | 0.964201i | \(-0.585429\pi\) | ||||
−0.265174 | + | 0.964201i | \(0.585429\pi\) | |||||||
\(648\) | 6.79694 | + | 20.9188i | 0.267009 | + | 0.821769i | ||||
\(649\) | 3.07666 | + | 2.23532i | 0.120769 | + | 0.0877441i | ||||
\(650\) | 1.98743 | − | 1.44395i | 0.0779534 | − | 0.0566364i | ||||
\(651\) | 3.66291 | − | 11.2733i | 0.143561 | − | 0.441834i | ||||
\(652\) | −7.67978 | + | 23.6359i | −0.300763 | + | 0.925654i | ||||
\(653\) | −26.5091 | −1.03738 | −0.518690 | − | 0.854962i | \(-0.673580\pi\) | ||||
−0.518690 | + | 0.854962i | \(0.673580\pi\) | |||||||
\(654\) | −10.8615 | + | 7.89136i | −0.424719 | + | 0.308577i | ||||
\(655\) | −53.4782 | −2.08956 | ||||||||
\(656\) | 5.84347 | − | 7.83220i | 0.228149 | − | 0.305796i | ||||
\(657\) | 40.4732 | 1.57901 | ||||||||
\(658\) | 4.85983 | − | 3.53087i | 0.189456 | − | 0.137648i | ||||
\(659\) | 10.2076 | 0.397632 | 0.198816 | − | 0.980037i | \(-0.436290\pi\) | ||||
0.198816 | + | 0.980037i | \(0.436290\pi\) | |||||||
\(660\) | 25.0951 | − | 77.2349i | 0.976827 | − | 3.00636i | ||||
\(661\) | 13.7875 | − | 42.4335i | 0.536271 | − | 1.65047i | −0.204614 | − | 0.978843i | \(-0.565594\pi\) |
0.740886 | − | 0.671631i | \(-0.234406\pi\) | |||||||
\(662\) | 1.34705 | − | 0.978691i | 0.0523547 | − | 0.0380379i | ||||
\(663\) | 11.3991 | + | 8.28190i | 0.442702 | + | 0.321642i | ||||
\(664\) | −5.22642 | − | 16.0853i | −0.202824 | − | 0.624229i | ||||
\(665\) | −20.9151 | −0.811055 | ||||||||
\(666\) | 2.32562 | + | 7.15753i | 0.0901160 | + | 0.277349i | ||||
\(667\) | 2.76510 | + | 8.51010i | 0.107065 | + | 0.329512i | ||||
\(668\) | 5.46905 | − | 16.8320i | 0.211604 | − | 0.651249i | ||||
\(669\) | −10.0273 | + | 7.28529i | −0.387680 | + | 0.281666i | ||||
\(670\) | 12.3604 | 0.477525 | ||||||||
\(671\) | −4.41417 | + | 13.5854i | −0.170407 | + | 0.524460i | ||||
\(672\) | −14.0103 | − | 10.1791i | −0.540459 | − | 0.392667i | ||||
\(673\) | 0.131620 | + | 0.405084i | 0.00507357 | + | 0.0156148i | 0.953561 | − | 0.301199i | \(-0.0973869\pi\) |
−0.948488 | + | 0.316814i | \(0.897387\pi\) | |||||||
\(674\) | 2.78332 | − | 2.02220i | 0.107210 | − | 0.0778923i | ||||
\(675\) | 14.8974 | + | 10.8236i | 0.573400 | + | 0.416599i | ||||
\(676\) | −12.1832 | − | 8.85162i | −0.468585 | − | 0.340447i | ||||
\(677\) | 14.6506 | + | 10.6443i | 0.563067 | + | 0.409092i | 0.832580 | − | 0.553905i | \(-0.186863\pi\) |
−0.269513 | + | 0.962997i | \(0.586863\pi\) | |||||||
\(678\) | 4.59175 | + | 3.33610i | 0.176345 | + | 0.128122i | ||||
\(679\) | 0.0244532 | − | 0.0177663i | 0.000938426 | − | 0.000681806i | ||||
\(680\) | 5.00399 | + | 15.4007i | 0.191894 | + | 0.590589i | ||||
\(681\) | 21.1942 | + | 15.3985i | 0.812165 | + | 0.590072i | ||||
\(682\) | 5.33626 | − | 16.4233i | 0.204336 | − | 0.628882i | ||||
\(683\) | 15.9308 | 0.609576 | 0.304788 | − | 0.952420i | \(-0.401414\pi\) | ||||
0.304788 | + | 0.952420i | \(0.401414\pi\) | |||||||
\(684\) | −59.8592 | + | 43.4903i | −2.28877 | + | 1.66289i | ||||
\(685\) | 2.56778 | − | 7.90283i | 0.0981100 | − | 0.301952i | ||||
\(686\) | −0.206227 | − | 0.634701i | −0.00787378 | − | 0.0242330i | ||||
\(687\) | −6.40893 | − | 19.7247i | −0.244516 | − | 0.752543i | ||||
\(688\) | −2.98164 | −0.113674 | ||||||||
\(689\) | 3.38533 | + | 10.4190i | 0.128971 | + | 0.396932i | ||||
\(690\) | −7.56329 | − | 5.49505i | −0.287930 | − | 0.209193i | ||||
\(691\) | −3.44631 | + | 2.50389i | −0.131104 | + | 0.0952526i | −0.651405 | − | 0.758731i | \(-0.725820\pi\) |
0.520301 | + | 0.853983i | \(0.325820\pi\) | |||||||
\(692\) | −8.66091 | + | 26.6555i | −0.329238 | + | 1.01329i | ||||
\(693\) | 12.2237 | − | 37.6208i | 0.464341 | − | 1.42909i | ||||
\(694\) | −5.23278 | −0.198634 | ||||||||
\(695\) | −4.03141 | + | 2.92899i | −0.152920 | + | 0.111103i | ||||
\(696\) | −36.2600 | −1.37443 | ||||||||
\(697\) | −15.7502 | + | 4.89780i | −0.596580 | + | 0.185517i | ||||
\(698\) | 19.2097 | 0.727097 | ||||||||
\(699\) | 28.6373 | − | 20.8062i | 1.08316 | − | 0.786964i | ||||
\(700\) | −3.14391 | −0.118829 | ||||||||
\(701\) | 4.85512 | − | 14.9425i | 0.183375 | − | 0.564372i | −0.816541 | − | 0.577287i | \(-0.804111\pi\) |
0.999917 | + | 0.0129157i | \(0.00411130\pi\) | |||||||
\(702\) | 3.41805 | − | 10.5197i | 0.129006 | − | 0.397040i | ||||
\(703\) | −11.9412 | + | 8.67577i | −0.450370 | + | 0.327213i | ||||
\(704\) | −4.21248 | − | 3.06055i | −0.158764 | − | 0.115349i | ||||
\(705\) | −22.1498 | − | 68.1700i | −0.834209 | − | 2.56743i | ||||
\(706\) | 14.2980 | 0.538112 | ||||||||
\(707\) | −2.36354 | − | 7.27423i | −0.0888900 | − | 0.273575i | ||||
\(708\) | −0.836915 | − | 2.57576i | −0.0314532 | − | 0.0968030i | ||||
\(709\) | 11.6090 | − | 35.7287i | 0.435984 | − | 1.34182i | −0.456091 | − | 0.889933i | \(-0.650751\pi\) |
0.892075 | − | 0.451888i | \(-0.149249\pi\) | |||||||
\(710\) | 11.4220 | − | 8.29858i | 0.428661 | − | 0.311440i | ||||
\(711\) | 53.1138 | 1.99192 | ||||||||
\(712\) | 12.9705 | − | 39.9192i | 0.486092 | − | 1.49604i | ||||
\(713\) | 5.61382 | + | 4.07868i | 0.210239 | + | 0.152748i | ||||
\(714\) | 1.59636 | + | 4.91308i | 0.0597421 | + | 0.183867i | ||||
\(715\) | −25.5988 | + | 18.5986i | −0.957339 | + | 0.695548i | ||||
\(716\) | 8.01510 | + | 5.82331i | 0.299539 | + | 0.217627i | ||||
\(717\) | 60.5930 | + | 44.0234i | 2.26289 | + | 1.64408i | ||||
\(718\) | −8.03602 | − | 5.83851i | −0.299901 | − | 0.217891i | ||||
\(719\) | 5.27464 | + | 3.83225i | 0.196711 | + | 0.142919i | 0.681781 | − | 0.731557i | \(-0.261206\pi\) |
−0.485070 | + | 0.874475i | \(0.661206\pi\) | |||||||
\(720\) | −19.7292 | + | 14.3341i | −0.735263 | + | 0.534200i | ||||
\(721\) | 3.14314 | + | 9.67358i | 0.117057 | + | 0.360263i | ||||
\(722\) | 23.3746 | + | 16.9826i | 0.869911 | + | 0.632027i | ||||
\(723\) | −21.5024 | + | 66.1775i | −0.799682 | + | 2.46117i | ||||
\(724\) | 12.7102 | 0.472372 | ||||||||
\(725\) | −8.32197 | + | 6.04627i | −0.309070 | + | 0.224553i | ||||
\(726\) | 19.8506 | − | 61.0939i | 0.736726 | − | 2.26741i | ||||
\(727\) | 1.19280 | + | 3.67105i | 0.0442383 | + | 0.136152i | 0.970736 | − | 0.240149i | \(-0.0771962\pi\) |
−0.926498 | + | 0.376300i | \(0.877196\pi\) | |||||||
\(728\) | 1.33434 | + | 4.10667i | 0.0494538 | + | 0.152203i | ||||
\(729\) | −26.1758 | −0.969472 | ||||||||
\(730\) | −3.66797 | − | 11.2889i | −0.135758 | − | 0.417820i | ||||
\(731\) | 4.07159 | + | 2.95818i | 0.150593 | + | 0.109412i | ||||
\(732\) | 8.23004 | − | 5.97948i | 0.304191 | − | 0.221008i | ||||
\(733\) | 0.893122 | − | 2.74875i | 0.0329882 | − | 0.101527i | −0.933207 | − | 0.359340i | \(-0.883002\pi\) |
0.966195 | + | 0.257813i | \(0.0830018\pi\) | |||||||
\(734\) | 5.91015 | − | 18.1896i | 0.218148 | − | 0.671389i | ||||
\(735\) | −7.96318 | −0.293726 | ||||||||
\(736\) | 8.20172 | − | 5.95890i | 0.302319 | − | 0.219648i | ||||
\(737\) | −45.8486 | −1.68885 | ||||||||
\(738\) | 14.8807 | + | 21.0370i | 0.547766 | + | 0.774382i | ||||
\(739\) | −48.1123 | −1.76984 | −0.884920 | − | 0.465743i | \(-0.845787\pi\) | ||||
−0.884920 | + | 0.465743i | \(0.845787\pi\) | |||||||
\(740\) | −6.23291 | + | 4.52847i | −0.229126 | + | 0.166470i | ||||
\(741\) | 43.1713 | 1.58594 | ||||||||
\(742\) | −1.24119 | + | 3.81999i | −0.0455655 | + | 0.140236i | ||||
\(743\) | 2.94176 | − | 9.05380i | 0.107923 | − | 0.332152i | −0.882483 | − | 0.470345i | \(-0.844130\pi\) |
0.990405 | + | 0.138193i | \(0.0441295\pi\) | |||||||
\(744\) | −22.7488 | + | 16.5280i | −0.834010 | + | 0.605944i | ||||
\(745\) | −20.2797 | − | 14.7341i | −0.742991 | − | 0.539815i | ||||
\(746\) | −5.87468 | − | 18.0804i | −0.215087 | − | 0.661970i | ||||
\(747\) | −42.9924 | −1.57301 | ||||||||
\(748\) | −8.11784 | − | 24.9842i | −0.296818 | − | 0.913511i | ||||
\(749\) | −3.89199 | − | 11.9783i | −0.142210 | − | 0.437678i | ||||
\(750\) | −4.89005 | + | 15.0500i | −0.178559 | + | 0.549549i | ||||
\(751\) | 24.3637 | − | 17.7013i | 0.889045 | − | 0.645929i | −0.0465841 | − | 0.998914i | \(-0.514834\pi\) |
0.935629 | + | 0.352986i | \(0.114834\pi\) | |||||||
\(752\) | 13.7368 | 0.500931 | ||||||||
\(753\) | 18.3259 | − | 56.4014i | 0.667833 | − | 2.05538i | ||||
\(754\) | 4.99886 | + | 3.63189i | 0.182048 | + | 0.132266i | ||||
\(755\) | 7.06070 | + | 21.7306i | 0.256965 | + | 0.790857i | ||||
\(756\) | −11.4522 | + | 8.32054i | −0.416514 | + | 0.302615i | ||||
\(757\) | −15.2035 | − | 11.0460i | −0.552582 | − | 0.401474i | 0.276155 | − | 0.961113i | \(-0.410940\pi\) |
−0.828736 | + | 0.559639i | \(0.810940\pi\) | |||||||
\(758\) | −7.86223 | − | 5.71225i | −0.285569 | − | 0.207478i | ||||
\(759\) | 28.0546 | + | 20.3828i | 1.01832 | + | 0.739850i | ||||
\(760\) | 40.1398 | + | 29.1633i | 1.45602 | + | 1.05786i | ||||
\(761\) | −24.6714 | + | 17.9248i | −0.894337 | + | 0.649774i | −0.937005 | − | 0.349315i | \(-0.886414\pi\) |
0.0426683 | + | 0.999089i | \(0.486414\pi\) | |||||||
\(762\) | 10.2796 | + | 31.6374i | 0.372392 | + | 1.14610i | ||||
\(763\) | −5.41603 | − | 3.93498i | −0.196073 | − | 0.142456i | ||||
\(764\) | 3.77111 | − | 11.6063i | 0.136434 | − | 0.419900i | ||||
\(765\) | 41.1626 | 1.48824 | ||||||||
\(766\) | −4.42336 | + | 3.21376i | −0.159822 | + | 0.116118i | ||||
\(767\) | −0.326089 | + | 1.00360i | −0.0117744 | + | 0.0362378i | ||||
\(768\) | 8.28863 | + | 25.5098i | 0.299090 | + | 0.920505i | ||||
\(769\) | −6.74515 | − | 20.7594i | −0.243236 | − | 0.748605i | −0.995921 | − | 0.0902241i | \(-0.971242\pi\) |
0.752685 | − | 0.658381i | \(-0.228758\pi\) | |||||||
\(770\) | −11.6011 | −0.418073 | ||||||||
\(771\) | −13.0861 | − | 40.2748i | −0.471283 | − | 1.45046i | ||||
\(772\) | 7.57708 | + | 5.50507i | 0.272705 | + | 0.198132i | ||||
\(773\) | 5.48813 | − | 3.98736i | 0.197394 | − | 0.143415i | −0.484698 | − | 0.874682i | \(-0.661070\pi\) |
0.682092 | + | 0.731266i | \(0.261070\pi\) | |||||||
\(774\) | 2.42963 | − | 7.47764i | 0.0873313 | − | 0.268778i | ||||
\(775\) | −2.46504 | + | 7.58661i | −0.0885468 | + | 0.272519i | ||||
\(776\) | −0.0717024 | −0.00257397 | ||||||||
\(777\) | −4.54645 | + | 3.30319i | −0.163103 | + | 0.118501i | ||||
\(778\) | 7.23363 | 0.259338 | ||||||||
\(779\) | −30.2208 | + | 40.5060i | −1.08277 | + | 1.45128i | ||||
\(780\) | 22.5340 | 0.806847 | ||||||||
\(781\) | −42.3678 | + | 30.7820i | −1.51604 | + | 1.10147i | ||||
\(782\) | −3.02416 | −0.108144 | ||||||||
\(783\) | −14.3124 | + | 44.0492i | −0.511485 | + | 1.57419i | ||||
\(784\) | 0.471594 | − | 1.45142i | 0.0168426 | − | 0.0518363i | ||||
\(785\) | 49.1368 | − | 35.7000i | 1.75377 | − | 1.27419i | ||||
\(786\) | 32.7419 | + | 23.7884i | 1.16787 | + | 0.848504i | ||||
\(787\) | 5.13585 | + | 15.8065i | 0.183073 | + | 0.563442i | 0.999910 | − | 0.0134276i | \(-0.00427425\pi\) |
−0.816837 | + | 0.576869i | \(0.804274\pi\) | |||||||
\(788\) | 3.35016 | 0.119345 | ||||||||
\(789\) | 18.8698 | + | 58.0754i | 0.671784 | + | 2.06754i | ||||
\(790\) | −4.81355 | − | 14.8146i | −0.171259 | − | 0.527080i | ||||
\(791\) | −0.874568 | + | 2.69164i | −0.0310961 | + | 0.0957038i | ||||
\(792\) | −75.9164 | + | 55.1565i | −2.69757 | + | 1.95990i | ||||
\(793\) | −3.96368 | −0.140754 | ||||||||
\(794\) | −6.49100 | + | 19.9772i | −0.230357 | + | 0.708966i | ||||
\(795\) | 38.7736 | + | 28.1707i | 1.37516 | + | 0.999112i | ||||
\(796\) | −0.420605 | − | 1.29449i | −0.0149080 | − | 0.0458820i | ||||
\(797\) | −21.8756 | + | 15.8935i | −0.774873 | + | 0.562978i | −0.903436 | − | 0.428723i | \(-0.858964\pi\) |
0.128563 | + | 0.991701i | \(0.458964\pi\) | |||||||
\(798\) | 12.8053 | + | 9.30357i | 0.453302 | + | 0.329343i | ||||
\(799\) | −18.7584 | − | 13.6288i | −0.663625 | − | 0.482152i | ||||
\(800\) | 9.42856 | + | 6.85025i | 0.333350 | + | 0.242193i | ||||
\(801\) | −86.3183 | − | 62.7139i | −3.04991 | − | 2.21589i | ||||
\(802\) | 9.48261 | − | 6.88952i | 0.334843 | − | 0.243277i | ||||
\(803\) | 13.6056 | + | 41.8738i | 0.480132 | + | 1.47770i | ||||
\(804\) | 26.4156 | + | 19.1921i | 0.931608 | + | 0.676853i | ||||
\(805\) | 1.44054 | − | 4.43353i | 0.0507724 | − | 0.156262i | ||||
\(806\) | 4.79166 | 0.168779 | ||||||||
\(807\) | 7.14358 | − | 5.19012i | 0.251466 | − | 0.182701i | ||||
\(808\) | −5.60686 | + | 17.2561i | −0.197249 | + | 0.607069i | ||||
\(809\) | −10.9990 | − | 33.8513i | −0.386703 | − | 1.19015i | −0.935237 | − | 0.354021i | \(-0.884814\pi\) |
0.548535 | − | 0.836128i | \(-0.315186\pi\) | |||||||
\(810\) | −5.06709 | − | 15.5949i | −0.178040 | − | 0.547949i | ||||
\(811\) | 4.01117 | 0.140851 | 0.0704256 | − | 0.997517i | \(-0.477564\pi\) | ||||
0.0704256 | + | 0.997517i | \(0.477564\pi\) | |||||||
\(812\) | −2.44361 | − | 7.52067i | −0.0857540 | − | 0.263924i | ||||
\(813\) | −4.47147 | − | 3.24871i | −0.156821 | − | 0.113937i | ||||
\(814\) | −6.62343 | + | 4.81221i | −0.232151 | + | 0.168668i | ||||
\(815\) | 13.0907 | − | 40.2890i | 0.458547 | − | 1.41126i | ||||
\(816\) | −3.65050 | + | 11.2351i | −0.127793 | + | 0.393307i | ||||
\(817\) | 15.4202 | 0.539485 | ||||||||
\(818\) | −4.42844 | + | 3.21745i | −0.154837 | + | 0.112495i | ||||
\(819\) | 10.9762 | 0.383540 | ||||||||
\(820\) | −15.7743 | + | 21.1428i | −0.550862 | + | 0.738340i | ||||
\(821\) | −45.2684 | −1.57988 | −0.789939 | − | 0.613185i | \(-0.789888\pi\) | ||||
−0.789939 | + | 0.613185i | \(0.789888\pi\) | |||||||
\(822\) | −5.08750 | + | 3.69628i | −0.177447 | + | 0.128923i | ||||
\(823\) | 28.2477 | 0.984653 | 0.492327 | − | 0.870411i | \(-0.336147\pi\) | ||||
0.492327 | + | 0.870411i | \(0.336147\pi\) | |||||||
\(824\) | 7.45624 | − | 22.9480i | 0.259751 | − | 0.799430i | ||||
\(825\) | −12.3188 | + | 37.9134i | −0.428886 | + | 1.31998i | ||||
\(826\) | −0.313002 | + | 0.227409i | −0.0108907 | + | 0.00791258i | ||||
\(827\) | 41.5559 | + | 30.1921i | 1.44504 | + | 1.04988i | 0.986959 | + | 0.160972i | \(0.0514630\pi\) |
0.458081 | + | 0.888911i | \(0.348537\pi\) | |||||||
\(828\) | −5.09610 | − | 15.6842i | −0.177102 | − | 0.545064i | ||||
\(829\) | 48.1386 | 1.67192 | 0.835961 | − | 0.548789i | \(-0.184911\pi\) | ||||
0.835961 | + | 0.548789i | \(0.184911\pi\) | |||||||
\(830\) | 3.89628 | + | 11.9915i | 0.135242 | + | 0.416232i | ||||
\(831\) | 3.20084e−6 | 0 | 9.85118e-6i | 1.11036e−7 | 0 | 3.41734e-7i | ||||
\(832\) | 0.446472 | − | 1.37410i | 0.0154786 | − | 0.0476383i | ||||
\(833\) | −2.08399 | + | 1.51411i | −0.0722059 | + | 0.0524607i | ||||
\(834\) | 3.77112 | 0.130583 | ||||||||
\(835\) | −9.32235 | + | 28.6913i | −0.322613 | + | 0.992902i | ||||
\(836\) | −65.1178 | − | 47.3109i | −2.25215 | − | 1.63628i | ||||
\(837\) | 11.0991 | + | 34.1594i | 0.383640 | + | 1.18072i | ||||
\(838\) | 0.431086 | − | 0.313202i | 0.0148916 | − | 0.0108194i | ||||
\(839\) | −6.85951 | − | 4.98372i | −0.236817 | − | 0.172057i | 0.463047 | − | 0.886334i | \(-0.346756\pi\) |
−0.699864 | + | 0.714276i | \(0.746756\pi\) | |||||||
\(840\) | 15.2827 | + | 11.1035i | 0.527304 | + | 0.383109i | ||||
\(841\) | 2.52971 | + | 1.83795i | 0.0872315 | + | 0.0633774i | ||||
\(842\) | 5.97816 | + | 4.34339i | 0.206021 | + | 0.149683i | ||||
\(843\) | 49.7443 | − | 36.1413i | 1.71328 | − | 1.24477i | ||||
\(844\) | 12.1578 | + | 37.4177i | 0.418487 | + | 1.28797i | ||||
\(845\) | 20.7671 | + | 15.0882i | 0.714410 | + | 0.519049i | ||||
\(846\) | −11.1937 | + | 34.4505i | −0.384846 | + | 1.18443i | ||||
\(847\) | 32.0319 | 1.10063 | ||||||||
\(848\) | −7.43081 | + | 5.39880i | −0.255175 | + | 0.185395i | ||||
\(849\) | −4.28800 | + | 13.1971i | −0.147164 | + | 0.452923i | ||||
\(850\) | −1.07430 | − | 3.30637i | −0.0368483 | − | 0.113408i | ||||
\(851\) | −1.01661 | − | 3.12880i | −0.0348489 | − | 0.107254i | ||||
\(852\) | 37.2954 | 1.27772 | ||||||||
\(853\) | 1.14322 | + | 3.51846i | 0.0391430 | + | 0.120470i | 0.968719 | − | 0.248162i | \(-0.0798264\pi\) |
−0.929576 | + | 0.368632i | \(0.879826\pi\) | |||||||
\(854\) | −1.17569 | − | 0.854188i | −0.0402313 | − | 0.0292297i | ||||
\(855\) | 102.034 | − | 74.1320i | 3.48949 | − | 2.53526i | ||||
\(856\) | −9.23270 | + | 28.4153i | −0.315567 | + | 0.971216i | ||||
\(857\) | 8.98814 | − | 27.6627i | 0.307029 | − | 0.944938i | −0.671883 | − | 0.740657i | \(-0.734514\pi\) |
0.978912 | − | 0.204281i | \(-0.0654857\pi\) | |||||||
\(858\) | 23.9459 | 0.817500 | ||||||||
\(859\) | 28.9757 | − | 21.0521i | 0.988638 | − | 0.718288i | 0.0290158 | − | 0.999579i | \(-0.490763\pi\) |
0.959622 | + | 0.281291i | \(0.0907627\pi\) | |||||||
\(860\) | 8.04886 | 0.274464 | ||||||||
\(861\) | −11.5062 | + | 15.4221i | −0.392130 | + | 0.525585i | ||||
\(862\) | −15.4527 | −0.526323 | ||||||||
\(863\) | 8.87280 | − | 6.44647i | 0.302034 | − | 0.219440i | −0.426437 | − | 0.904517i | \(-0.640231\pi\) |
0.728471 | + | 0.685077i | \(0.240231\pi\) | |||||||
\(864\) | 52.4748 | 1.78523 | ||||||||
\(865\) | 14.7631 | − | 45.4361i | 0.501960 | − | 1.54487i | ||||
\(866\) | 2.70092 | − | 8.31259i | 0.0917812 | − | 0.282473i | ||||
\(867\) | −25.1972 | + | 18.3068i | −0.855741 | + | 0.621732i | ||||
\(868\) | −4.96112 | − | 3.60447i | −0.168392 | − | 0.122344i | ||||
\(869\) | 17.8549 | + | 54.9519i | 0.605687 | + | 1.86411i | ||||
\(870\) | 27.0317 | 0.916461 | ||||||||
\(871\) | −3.93133 | − | 12.0994i | −0.133208 | − | 0.409973i | ||||
\(872\) | 4.90752 | + | 15.1038i | 0.166190 | + | 0.511479i | ||||
\(873\) | −0.0563230 | + | 0.173344i | −0.00190624 | + | 0.00586682i | ||||
\(874\) | −7.49628 | + | 5.44637i | −0.253566 | + | 0.184226i | ||||
\(875\) | −7.89080 | −0.266758 | ||||||||
\(876\) | 9.68939 | − | 29.8209i | 0.327374 | − | 1.00755i | ||||
\(877\) | 25.2127 | + | 18.3181i | 0.851373 | + | 0.618559i | 0.925524 | − | 0.378688i | \(-0.123625\pi\) |
−0.0741512 | + | 0.997247i | \(0.523625\pi\) | |||||||
\(878\) | 1.14269 | + | 3.51685i | 0.0385640 | + | 0.118688i | ||||
\(879\) | 33.1659 | − | 24.0964i | 1.11866 | − | 0.812753i | ||||
\(880\) | −21.4624 | − | 15.5933i | −0.723497 | − | 0.525651i | ||||
\(881\) | 2.35074 | + | 1.70792i | 0.0791986 | + | 0.0575412i | 0.626680 | − | 0.779277i | \(-0.284413\pi\) |
−0.547481 | + | 0.836818i | \(0.684413\pi\) | |||||||
\(882\) | 3.25572 | + | 2.36542i | 0.109626 | + | 0.0796477i | ||||
\(883\) | −38.1236 | − | 27.6984i | −1.28296 | − | 0.932125i | −0.283322 | − | 0.959025i | \(-0.591437\pi\) |
−0.999638 | + | 0.0268993i | \(0.991437\pi\) | |||||||
\(884\) | 5.89722 | − | 4.28458i | 0.198345 | − | 0.144106i | ||||
\(885\) | 1.42658 | + | 4.39055i | 0.0479539 | + | 0.147587i | ||||
\(886\) | 13.0591 | + | 9.48797i | 0.438728 | + | 0.318755i | ||||
\(887\) | −1.96435 | + | 6.04565i | −0.0659565 | + | 0.202993i | −0.978603 | − | 0.205756i | \(-0.934035\pi\) |
0.912647 | + | 0.408749i | \(0.134035\pi\) | |||||||
\(888\) | 13.3313 | 0.447368 | ||||||||
\(889\) | −13.4197 | + | 9.74998i | −0.450082 | + | 0.327004i | ||||
\(890\) | −9.66950 | + | 29.7597i | −0.324122 | + | 0.997546i | ||||
\(891\) | 18.7954 | + | 57.8463i | 0.629670 | + | 1.93792i | ||||
\(892\) | 1.98148 | + | 6.09837i | 0.0663448 | + | 0.204188i | ||||
\(893\) | −71.0431 | −2.37737 | ||||||||
\(894\) | 5.86215 | + | 18.0418i | 0.196060 | + | 0.603409i | ||||
\(895\) | −13.6623 | − | 9.92622i | −0.456680 | − | 0.331797i | ||||
\(896\) | −8.89606 | + | 6.46337i | −0.297197 | + | 0.215926i | ||||
\(897\) | −2.97345 | + | 9.15132i | −0.0992804 | + | 0.305554i | ||||
\(898\) | 3.34223 | − | 10.2863i | 0.111532 | − | 0.343259i | ||||
\(899\) | −20.0642 | −0.669177 | ||||||||
\(900\) | 15.3375 | − | 11.1433i | 0.511249 | − | 0.371444i | ||||
\(901\) | 15.5035 | 0.516497 | ||||||||
\(902\) | −16.7627 | + | 22.4676i | −0.558135 | + | 0.748088i | ||||
\(903\) | 5.87105 | 0.195376 | ||||||||
\(904\) | 5.43157 | − | 3.94627i | 0.180651 | − | 0.131251i | ||||
\(905\) | −21.6654 | −0.720183 | ||||||||
\(906\) | 5.34340 | − | 16.4453i | 0.177523 | − | 0.546358i | ||||
\(907\) | 9.73880 | − | 29.9729i | 0.323371 | − | 0.995235i | −0.648799 | − | 0.760960i | \(-0.724728\pi\) |
0.972170 | − | 0.234275i | \(-0.0752716\pi\) | |||||||
\(908\) | 10.9647 | − | 7.96632i | 0.363876 | − | 0.264372i | ||||
\(909\) | 37.3134 | + | 27.1097i | 1.23761 | + | 0.899173i | ||||
\(910\) | −0.994744 | − | 3.06151i | −0.0329754 | − | 0.101488i | ||||
\(911\) | −27.9612 | −0.926396 | −0.463198 | − | 0.886255i | \(-0.653298\pi\) | ||||
−0.463198 | + | 0.886255i | \(0.653298\pi\) | |||||||
\(912\) | 11.1850 | + | 34.4239i | 0.370373 | + | 1.13989i | ||||
\(913\) | −14.4525 | − | 44.4802i | −0.478308 | − | 1.47208i | ||||
\(914\) | 6.12745 | − | 18.8584i | 0.202678 | − | 0.623779i | ||||
\(915\) | −14.0287 | + | 10.1924i | −0.463773 | + | 0.336951i | ||||
\(916\) | −10.7296 | −0.354515 | ||||||||
\(917\) | −6.23619 | + | 19.1930i | −0.205937 | + | 0.633809i | ||||
\(918\) | −12.6638 | − | 9.20081i | −0.417969 | − | 0.303672i | ||||
\(919\) | 5.85693 | + | 18.0258i | 0.193202 | + | 0.594616i | 0.999993 | + | 0.00377826i | \(0.00120266\pi\) |
−0.806790 | + | 0.590838i | \(0.798797\pi\) | |||||||
\(920\) | −8.94660 | + | 6.50008i | −0.294961 | + | 0.214301i | ||||
\(921\) | −7.00829 | − | 5.09182i | −0.230931 | − | 0.167781i | ||||
\(922\) | 1.36325 | + | 0.990460i | 0.0448963 | + | 0.0326191i | ||||
\(923\) | −11.7562 | − | 8.54138i | −0.386960 | − | 0.281143i | ||||
\(924\) | −24.7928 | − | 18.0130i | −0.815622 | − | 0.592584i | ||||
\(925\) | 3.05964 | − | 2.22296i | 0.100600 | − | 0.0730904i | ||||
\(926\) | 3.10009 | + | 9.54109i | 0.101875 | + | 0.313540i | ||||
\(927\) | −49.6209 | − | 36.0517i | −1.62977 | − | 1.18409i | ||||
\(928\) | −9.05837 | + | 27.8788i | −0.297355 | + | 0.915166i | ||||
\(929\) | −13.3132 | −0.436791 | −0.218395 | − | 0.975860i | \(-0.570082\pi\) | ||||
−0.218395 | + | 0.975860i | \(0.570082\pi\) | |||||||
\(930\) | 16.9591 | − | 12.3215i | 0.556112 | − | 0.404039i | ||||
\(931\) | −2.43896 | + | 7.50633i | −0.0799335 | + | 0.246010i | ||||
\(932\) | −5.65895 | − | 17.4165i | −0.185365 | − | 0.570495i | ||||
\(933\) | −12.9167 | − | 39.7534i | −0.422873 | − | 1.30147i | ||||
\(934\) | 3.57624 | 0.117018 | ||||||||
\(935\) | 13.8374 | + | 42.5871i | 0.452531 | + | 1.39275i | ||||
\(936\) | −21.0653 | − | 15.3048i | −0.688540 | − | 0.500254i | ||||
\(937\) | −10.0655 | + | 7.31300i | −0.328825 | + | 0.238905i | −0.739932 | − | 0.672682i | \(-0.765142\pi\) |
0.411107 | + | 0.911587i | \(0.365142\pi\) | |||||||
\(938\) | 1.44137 | − | 4.43609i | 0.0470625 | − | 0.144843i | ||||
\(939\) | −28.3151 | + | 87.1448i | −0.924027 | + | 2.84386i | ||||
\(940\) | −37.0822 | −1.20949 | ||||||||
\(941\) | 0.695430 | − | 0.505259i | 0.0226704 | − | 0.0164710i | −0.576392 | − | 0.817173i | \(-0.695540\pi\) |
0.599063 | + | 0.800702i | \(0.295540\pi\) | |||||||
\(942\) | −45.9641 | −1.49759 | ||||||||
\(943\) | −6.50487 | − | 9.19600i | −0.211828 | − | 0.299463i | ||||
\(944\) | −0.884733 | −0.0287956 | ||||||||
\(945\) | 19.5211 | − | 14.1829i | 0.635021 | − | 0.461370i | ||||
\(946\) | 8.55316 | 0.278087 | ||||||||
\(947\) | −9.54256 | + | 29.3690i | −0.310092 | + | 0.954364i | 0.667636 | + | 0.744487i | \(0.267306\pi\) |
−0.977728 | + | 0.209876i | \(0.932694\pi\) | |||||||
\(948\) | 12.7156 | − | 39.1345i | 0.412983 | − | 1.27103i | ||||
\(949\) | −9.88384 | + | 7.18103i | −0.320843 | + | 0.233106i | ||||
\(950\) | −8.61760 | − | 6.26105i | −0.279592 | − | 0.203135i | ||||
\(951\) | 22.4673 | + | 69.1471i | 0.728551 | + | 2.24225i | ||||
\(952\) | 6.11075 | 0.198050 | ||||||||
\(953\) | −0.289321 | − | 0.890440i | −0.00937204 | − | 0.0288442i | 0.946261 | − | 0.323404i | \(-0.104827\pi\) |
−0.955633 | + | 0.294559i | \(0.904827\pi\) | |||||||
\(954\) | −7.48452 | − | 23.0350i | −0.242320 | − | 0.745785i | ||||
\(955\) | −6.42810 | + | 19.7837i | −0.208008 | + | 0.640184i | ||||
\(956\) | 31.3474 | − | 22.7752i | 1.01385 | − | 0.736603i | ||||
\(957\) | −100.269 | −3.24123 | ||||||||
\(958\) | 4.69432 | − | 14.4476i | 0.151667 | − | 0.466782i | ||||
\(959\) | −2.53685 | − | 1.84313i | −0.0819191 | − | 0.0595177i | ||||
\(960\) | −1.95323 | − | 6.01143i | −0.0630403 | − | 0.194018i | ||||
\(961\) | 12.4917 | − | 9.07574i | 0.402958 | − | 0.292766i | ||||
\(962\) | −1.83787 | − | 1.33529i | −0.0592553 | − | 0.0430515i | ||||
\(963\) | 61.4432 | + | 44.6411i | 1.97998 | + | 1.43854i | ||||
\(964\) | 29.1233 | + | 21.1593i | 0.937999 | + | 0.681496i | ||||
\(965\) | −12.9156 | − | 9.38376i | −0.415769 | − | 0.302074i | ||||
\(966\) | −2.85411 | + | 2.07364i | −0.0918296 | + | 0.0667181i | ||||
\(967\) | −11.4384 | − | 35.2037i | −0.367833 | − | 1.13207i | −0.948188 | − | 0.317710i | \(-0.897086\pi\) |
0.580355 | − | 0.814364i | \(-0.302914\pi\) | |||||||
\(968\) | −61.4747 | − | 44.6640i | −1.97587 | − | 1.43555i | ||||
\(969\) | 18.8794 | − | 58.1048i | 0.606494 | − | 1.86660i | ||||
\(970\) | 0.0534539 | 0.00171630 | ||||||||
\(971\) | 38.7863 | − | 28.1799i | 1.24471 | − | 0.904337i | 0.246810 | − | 0.969064i | \(-0.420618\pi\) |
0.997903 | + | 0.0647274i | \(0.0206178\pi\) | |||||||
\(972\) | 0.262230 | − | 0.807062i | 0.00841104 | − | 0.0258865i | ||||
\(973\) | 0.581089 | + | 1.78841i | 0.0186289 | + | 0.0573337i | ||||
\(974\) | −0.850082 | − | 2.61628i | −0.0272384 | − | 0.0838311i | ||||
\(975\) | −11.0616 | −0.354255 | ||||||||
\(976\) | −1.02693 | − | 3.16056i | −0.0328712 | − | 0.101167i | ||||
\(977\) | 19.3583 | + | 14.0646i | 0.619326 | + | 0.449967i | 0.852686 | − | 0.522424i | \(-0.174972\pi\) |
−0.233360 | + | 0.972390i | \(0.574972\pi\) | |||||||
\(978\) | −25.9363 | + | 18.8438i | −0.829351 | + | 0.602559i | ||||
\(979\) | 35.8671 | − | 110.388i | 1.14632 | − | 3.52800i | ||||
\(980\) | −1.27306 | + | 3.91806i | −0.0406663 | + | 0.125158i | ||||
\(981\) | 40.3691 | 1.28889 | ||||||||
\(982\) | −7.91253 | + | 5.74879i | −0.252499 | + | 0.183451i | ||||
\(983\) | −6.52661 | −0.208166 | −0.104083 | − | 0.994569i | \(-0.533191\pi\) | ||||
−0.104083 | + | 0.994569i | \(0.533191\pi\) | |||||||
\(984\) | 43.5864 | − | 13.5540i | 1.38948 | − | 0.432085i | ||||
\(985\) | −5.71058 | −0.181954 | ||||||||
\(986\) | 7.07428 | − | 5.13977i | 0.225291 | − | 0.163684i | ||||
\(987\) | −27.0488 | −0.860972 | ||||||||
\(988\) | 6.90170 | − | 21.2413i | 0.219572 | − | 0.675774i | ||||
\(989\) | −1.06208 | + | 3.26873i | −0.0337720 | + | 0.103940i | ||||
\(990\) | 56.5954 | − | 41.1190i | 1.79872 | − | 1.30685i | ||||
\(991\) | 7.56301 | + | 5.49485i | 0.240247 | + | 0.174550i | 0.701393 | − | 0.712774i | \(-0.252562\pi\) |
−0.461146 | + | 0.887324i | \(0.652562\pi\) | |||||||
\(992\) | 7.02461 | + | 21.6195i | 0.223032 | + | 0.686421i | ||||
\(993\) | −7.49740 | −0.237923 | ||||||||
\(994\) | −1.64637 | − | 5.06701i | −0.0522198 | − | 0.160716i | ||||
\(995\) | 0.716950 | + | 2.20654i | 0.0227288 | + | 0.0699522i | ||||
\(996\) | −10.2925 | + | 31.6770i | −0.326130 | + | 1.00372i | ||||
\(997\) | −8.24459 | + | 5.99005i | −0.261109 | + | 0.189707i | −0.710636 | − | 0.703560i | \(-0.751593\pi\) |
0.449527 | + | 0.893267i | \(0.351593\pi\) | |||||||
\(998\) | −23.1626 | −0.733200 | ||||||||
\(999\) | 5.26208 | − | 16.1950i | 0.166485 | − | 0.512387i |
(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 | 287.2.h.c.78.6 | ✓ | 40 | |
41.10 | even | 5 | inner | 287.2.h.c.92.6 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
287.2.h.c.78.6 | ✓ | 40 | 1.1 | even | 1 | trivial | |
287.2.h.c.92.6 | yes | 40 | 41.10 | even | 5 | inner |