Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(83,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.83");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.v (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: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 83.1 | ||
Character | \(\chi\) | \(=\) | 570.83 |
Dual form | 570.2.v.c.467.1 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.258819 | + | 0.965926i | −0.183013 | + | 0.683013i | ||||
\(3\) | −1.72915 | + | 0.100231i | −0.998324 | + | 0.0578682i | ||||
\(4\) | −0.866025 | − | 0.500000i | −0.433013 | − | 0.250000i | ||||
\(5\) | 0.941726 | + | 2.02809i | 0.421153 | + | 0.906990i | ||||
\(6\) | 0.350721 | − | 1.69617i | 0.143181 | − | 0.692459i | ||||
\(7\) | 0.473527 | − | 0.473527i | 0.178976 | − | 0.178976i | −0.611933 | − | 0.790910i | \(-0.709608\pi\) |
0.790910 | + | 0.611933i | \(0.209608\pi\) | |||||||
\(8\) | 0.707107 | − | 0.707107i | 0.250000 | − | 0.250000i | ||||
\(9\) | 2.97991 | − | 0.346627i | 0.993303 | − | 0.115542i | ||||
\(10\) | −2.20272 | + | 0.384729i | −0.696562 | + | 0.121662i | ||||
\(11\) | 1.46351i | 0.441265i | 0.975357 | + | 0.220633i | \(0.0708122\pi\) | ||||
−0.975357 | + | 0.220633i | \(0.929188\pi\) | |||||||
\(12\) | 1.54760 | + | 0.777772i | 0.446754 | + | 0.224523i | ||||
\(13\) | 2.64355 | − | 0.708337i | 0.733189 | − | 0.196457i | 0.127140 | − | 0.991885i | \(-0.459420\pi\) |
0.606049 | + | 0.795427i | \(0.292754\pi\) | |||||||
\(14\) | 0.334834 | + | 0.579950i | 0.0894882 | + | 0.154998i | ||||
\(15\) | −1.83166 | − | 3.41248i | −0.472933 | − | 0.881099i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | −1.90834 | + | 7.12204i | −0.462841 | + | 1.72735i | 0.201107 | + | 0.979569i | \(0.435546\pi\) |
−0.663948 | + | 0.747779i | \(0.731120\pi\) | |||||||
\(18\) | −0.436441 | + | 2.96808i | −0.102870 | + | 0.699584i | ||||
\(19\) | 2.96284 | − | 3.19712i | 0.679722 | − | 0.733469i | ||||
\(20\) | 0.198487 | − | 2.22724i | 0.0443830 | − | 0.498026i | ||||
\(21\) | −0.771337 | + | 0.866260i | −0.168319 | + | 0.189034i | ||||
\(22\) | −1.41364 | − | 0.378785i | −0.301390 | − | 0.0807572i | ||||
\(23\) | 0.182005 | + | 0.679251i | 0.0379506 | + | 0.141634i | 0.982302 | − | 0.187306i | \(-0.0599755\pi\) |
−0.944351 | + | 0.328939i | \(0.893309\pi\) | |||||||
\(24\) | −1.15182 | + | 1.29357i | −0.235114 | + | 0.264048i | ||||
\(25\) | −3.22630 | + | 3.81981i | −0.645261 | + | 0.763962i | ||||
\(26\) | 2.73681i | 0.536732i | ||||||||
\(27\) | −5.11796 | + | 0.898048i | −0.984952 | + | 0.172829i | ||||
\(28\) | −0.646850 | + | 0.173323i | −0.122243 | + | 0.0327550i | ||||
\(29\) | −0.402616 | + | 0.697351i | −0.0747638 | + | 0.129495i | −0.900984 | − | 0.433853i | \(-0.857154\pi\) |
0.826220 | + | 0.563348i | \(0.190487\pi\) | |||||||
\(30\) | 3.77027 | − | 0.886034i | 0.688354 | − | 0.161767i | ||||
\(31\) | −0.879462 | −0.157956 | −0.0789780 | − | 0.996876i | \(-0.525166\pi\) | ||||
−0.0789780 | + | 0.996876i | \(0.525166\pi\) | |||||||
\(32\) | −0.965926 | + | 0.258819i | −0.170753 | + | 0.0457532i | ||||
\(33\) | −0.146689 | − | 2.53063i | −0.0255352 | − | 0.440526i | ||||
\(34\) | −6.38544 | − | 3.68664i | −1.09509 | − | 0.632253i | ||||
\(35\) | 1.40629 | + | 0.514423i | 0.237706 | + | 0.0869534i | ||||
\(36\) | −2.75399 | − | 1.18977i | −0.458998 | − | 0.198294i | ||||
\(37\) | −7.52157 | + | 7.52157i | −1.23654 | + | 1.23654i | −0.275132 | + | 0.961406i | \(0.588722\pi\) |
−0.961406 | + | 0.275132i | \(0.911278\pi\) | |||||||
\(38\) | 2.32134 | + | 3.68936i | 0.376571 | + | 0.598493i | ||||
\(39\) | −4.50010 | + | 1.48979i | −0.720592 | + | 0.238557i | ||||
\(40\) | 2.09998 | + | 0.768176i | 0.332036 | + | 0.121459i | ||||
\(41\) | −1.55799 | + | 0.899506i | −0.243317 | + | 0.140479i | −0.616700 | − | 0.787198i | \(-0.711531\pi\) |
0.373383 | + | 0.927677i | \(0.378198\pi\) | |||||||
\(42\) | −0.637107 | − | 0.969259i | −0.0983077 | − | 0.149560i | ||||
\(43\) | 0.0802385 | − | 0.299454i | 0.0122363 | − | 0.0456663i | −0.959538 | − | 0.281580i | \(-0.909142\pi\) |
0.971774 | + | 0.235914i | \(0.0758082\pi\) | |||||||
\(44\) | 0.731756 | − | 1.26744i | 0.110316 | − | 0.191074i | ||||
\(45\) | 3.50925 | + | 5.71710i | 0.523128 | + | 0.852254i | ||||
\(46\) | −0.703212 | −0.103683 | ||||||||
\(47\) | −5.73037 | + | 1.53545i | −0.835861 | + | 0.223968i | −0.651269 | − | 0.758847i | \(-0.725763\pi\) |
−0.184592 | + | 0.982815i | \(0.559096\pi\) | |||||||
\(48\) | −0.951376 | − | 1.44737i | −0.137319 | − | 0.208910i | ||||
\(49\) | 6.55154i | 0.935935i | ||||||||
\(50\) | −2.85463 | − | 4.10501i | −0.403705 | − | 0.580536i | ||||
\(51\) | 2.58596 | − | 12.5063i | 0.362107 | − | 1.75124i | ||||
\(52\) | −2.64355 | − | 0.708337i | −0.366595 | − | 0.0982287i | ||||
\(53\) | 0.0165769 | + | 0.0618659i | 0.00227701 | + | 0.00849793i | 0.967055 | − | 0.254568i | \(-0.0819331\pi\) |
−0.964778 | + | 0.263066i | \(0.915266\pi\) | |||||||
\(54\) | 0.457178 | − | 5.17600i | 0.0622140 | − | 0.704365i | ||||
\(55\) | −2.96814 | + | 1.37823i | −0.400223 | + | 0.185840i | ||||
\(56\) | − | 0.669668i | − | 0.0894882i | ||||||
\(57\) | −4.80274 | + | 5.82526i | −0.636139 | + | 0.771575i | ||||
\(58\) | −0.569384 | − | 0.569384i | −0.0747638 | − | 0.0747638i | ||||
\(59\) | −0.426080 | − | 0.737992i | −0.0554708 | − | 0.0960783i | 0.836957 | − | 0.547269i | \(-0.184333\pi\) |
−0.892427 | + | 0.451191i | \(0.850999\pi\) | |||||||
\(60\) | −0.119975 | + | 3.87112i | −0.0154887 | + | 0.499760i | ||||
\(61\) | 0.152770 | − | 0.264605i | 0.0195602 | − | 0.0338792i | −0.856080 | − | 0.516844i | \(-0.827107\pi\) |
0.875640 | + | 0.482965i | \(0.160440\pi\) | |||||||
\(62\) | 0.227621 | − | 0.849495i | 0.0289080 | − | 0.107886i | ||||
\(63\) | 1.24693 | − | 1.57520i | 0.157098 | − | 0.198457i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | 3.92607 | + | 4.69430i | 0.486970 | + | 0.582257i | ||||
\(66\) | 2.48237 | + | 0.513285i | 0.305558 | + | 0.0631810i | ||||
\(67\) | 3.49596 | + | 13.0471i | 0.427099 | + | 1.59395i | 0.759296 | + | 0.650745i | \(0.225543\pi\) |
−0.332198 | + | 0.943210i | \(0.607790\pi\) | |||||||
\(68\) | 5.21369 | − | 5.21369i | 0.632253 | − | 0.632253i | ||||
\(69\) | −0.382795 | − | 1.15628i | −0.0460831 | − | 0.139200i | ||||
\(70\) | −0.860869 | + | 1.22523i | −0.102894 | + | 0.146443i | ||||
\(71\) | 7.74931 | − | 4.47407i | 0.919674 | − | 0.530974i | 0.0361432 | − | 0.999347i | \(-0.488493\pi\) |
0.883531 | + | 0.468372i | \(0.155159\pi\) | |||||||
\(72\) | 1.86201 | − | 2.35222i | 0.219440 | − | 0.277211i | ||||
\(73\) | 0.0178072 | − | 0.0664572i | 0.00208417 | − | 0.00777823i | −0.964876 | − | 0.262706i | \(-0.915385\pi\) |
0.966960 | + | 0.254928i | \(0.0820517\pi\) | |||||||
\(74\) | −5.31855 | − | 9.21200i | −0.618269 | − | 1.07087i | ||||
\(75\) | 5.19590 | − | 6.92840i | 0.599970 | − | 0.800022i | ||||
\(76\) | −4.16446 | + | 1.28737i | −0.477696 | + | 0.147671i | ||||
\(77\) | 0.693013 | + | 0.693013i | 0.0789761 | + | 0.0789761i | ||||
\(78\) | −0.274312 | − | 4.73234i | −0.0310597 | − | 0.535832i | ||||
\(79\) | 8.30873 | − | 4.79705i | 0.934805 | − | 0.539710i | 0.0464770 | − | 0.998919i | \(-0.485201\pi\) |
0.888328 | + | 0.459209i | \(0.151867\pi\) | |||||||
\(80\) | −1.28552 | + | 1.82960i | −0.143725 | + | 0.204556i | ||||
\(81\) | 8.75970 | − | 2.06583i | 0.973300 | − | 0.229537i | ||||
\(82\) | −0.465619 | − | 1.73771i | −0.0514190 | − | 0.191898i | ||||
\(83\) | −4.91926 | + | 4.91926i | −0.539959 | + | 0.539959i | −0.923517 | − | 0.383558i | \(-0.874699\pi\) |
0.383558 | + | 0.923517i | \(0.374699\pi\) | |||||||
\(84\) | 1.10113 | − | 0.364535i | 0.120143 | − | 0.0397741i | ||||
\(85\) | −16.2413 | + | 2.83671i | −1.76161 | + | 0.307685i | ||||
\(86\) | 0.268483 | + | 0.155009i | 0.0289513 | + | 0.0167150i | ||||
\(87\) | 0.626286 | − | 1.24618i | 0.0671449 | − | 0.133604i | ||||
\(88\) | 1.03486 | + | 1.03486i | 0.110316 | + | 0.110316i | ||||
\(89\) | 9.03106 | − | 15.6423i | 0.957290 | − | 1.65808i | 0.228252 | − | 0.973602i | \(-0.426699\pi\) |
0.729038 | − | 0.684473i | \(-0.239968\pi\) | |||||||
\(90\) | −6.43055 | + | 1.90998i | −0.677840 | + | 0.201330i | ||||
\(91\) | 0.916376 | − | 1.58721i | 0.0960623 | − | 0.166385i | ||||
\(92\) | 0.182005 | − | 0.679251i | 0.0189753 | − | 0.0708168i | ||||
\(93\) | 1.52072 | − | 0.0881490i | 0.157691 | − | 0.00914063i | ||||
\(94\) | − | 5.93252i | − | 0.611893i | ||||||
\(95\) | 9.27423 | + | 2.99810i | 0.951516 | + | 0.307599i | ||||
\(96\) | 1.64429 | − | 0.544352i | 0.167819 | − | 0.0555577i | ||||
\(97\) | 12.9263 | + | 3.46360i | 1.31247 | + | 0.351675i | 0.846152 | − | 0.532942i | \(-0.178914\pi\) |
0.466318 | + | 0.884617i | \(0.345580\pi\) | |||||||
\(98\) | −6.32831 | − | 1.69566i | −0.639255 | − | 0.171288i | ||||
\(99\) | 0.507293 | + | 4.36113i | 0.0509849 | + | 0.438310i | ||||
\(100\) | 4.70397 | − | 1.69490i | 0.470397 | − | 0.169490i | ||||
\(101\) | 8.44615 | + | 4.87639i | 0.840424 | + | 0.485219i | 0.857408 | − | 0.514637i | \(-0.172073\pi\) |
−0.0169846 | + | 0.999856i | \(0.505407\pi\) | |||||||
\(102\) | 11.4109 | + | 5.73473i | 1.12985 | + | 0.567823i | ||||
\(103\) | −5.57217 | − | 5.57217i | −0.549042 | − | 0.549042i | 0.377122 | − | 0.926164i | \(-0.376914\pi\) |
−0.926164 | + | 0.377122i | \(0.876914\pi\) | |||||||
\(104\) | 1.36840 | − | 2.37014i | 0.134183 | − | 0.232412i | ||||
\(105\) | −2.48324 | − | 0.748561i | −0.242340 | − | 0.0730520i | ||||
\(106\) | −0.0640483 | −0.00622092 | ||||||||
\(107\) | −8.18295 | − | 8.18295i | −0.791076 | − | 0.791076i | 0.190593 | − | 0.981669i | \(-0.438959\pi\) |
−0.981669 | + | 0.190593i | \(0.938959\pi\) | |||||||
\(108\) | 4.88131 | + | 1.78125i | 0.469704 | + | 0.171401i | ||||
\(109\) | −10.1078 | + | 5.83574i | −0.968152 | + | 0.558963i | −0.898672 | − | 0.438621i | \(-0.855467\pi\) |
−0.0694796 | + | 0.997583i | \(0.522134\pi\) | |||||||
\(110\) | −0.563055 | − | 3.22371i | −0.0536852 | − | 0.307369i | ||||
\(111\) | 12.2520 | − | 13.7598i | 1.16291 | − | 1.30602i | ||||
\(112\) | 0.646850 | + | 0.173323i | 0.0611216 | + | 0.0163775i | ||||
\(113\) | 9.52933 | − | 9.52933i | 0.896444 | − | 0.896444i | −0.0986753 | − | 0.995120i | \(-0.531461\pi\) |
0.995120 | + | 0.0986753i | \(0.0314605\pi\) | |||||||
\(114\) | −4.38373 | − | 6.14678i | −0.410574 | − | 0.575699i | ||||
\(115\) | −1.20618 | + | 1.00879i | −0.112477 | + | 0.0940702i | ||||
\(116\) | 0.697351 | − | 0.402616i | 0.0647474 | − | 0.0373819i | ||||
\(117\) | 7.63201 | − | 3.02711i | 0.705580 | − | 0.279856i | ||||
\(118\) | 0.823123 | − | 0.220555i | 0.0757746 | − | 0.0203037i | ||||
\(119\) | 2.46883 | + | 4.27613i | 0.226317 | + | 0.391992i | ||||
\(120\) | −3.70817 | − | 1.11781i | −0.338508 | − | 0.102041i | ||||
\(121\) | 8.85813 | 0.805285 | ||||||||
\(122\) | 0.216049 | + | 0.216049i | 0.0195602 | + | 0.0195602i | ||||
\(123\) | 2.60384 | − | 1.71154i | 0.234780 | − | 0.154324i | ||||
\(124\) | 0.761636 | + | 0.439731i | 0.0683970 | + | 0.0394890i | ||||
\(125\) | −10.7852 | − | 2.94602i | −0.964659 | − | 0.263500i | ||||
\(126\) | 1.19880 | + | 1.61213i | 0.106798 | + | 0.143620i | ||||
\(127\) | −0.690243 | − | 2.57602i | −0.0612492 | − | 0.228585i | 0.928516 | − | 0.371293i | \(-0.121086\pi\) |
−0.989765 | + | 0.142708i | \(0.954419\pi\) | |||||||
\(128\) | 0.965926 | + | 0.258819i | 0.0853766 | + | 0.0228766i | ||||
\(129\) | −0.108730 | + | 0.525843i | −0.00957312 | + | 0.0462979i | ||||
\(130\) | −5.55049 | + | 2.57732i | −0.486810 | + | 0.226046i | ||||
\(131\) | −9.00345 | + | 5.19815i | −0.786635 | + | 0.454164i | −0.838777 | − | 0.544476i | \(-0.816729\pi\) |
0.0521413 | + | 0.998640i | \(0.483395\pi\) | |||||||
\(132\) | −1.13828 | + | 2.26493i | −0.0990744 | + | 0.197137i | ||||
\(133\) | −0.110937 | − | 2.91691i | −0.00961946 | − | 0.252928i | ||||
\(134\) | −13.5073 | −1.16686 | ||||||||
\(135\) | −6.64104 | − | 9.53397i | −0.571570 | − | 0.820554i | ||||
\(136\) | 3.68664 | + | 6.38544i | 0.316127 | + | 0.547547i | ||||
\(137\) | 2.85478 | − | 0.764935i | 0.243900 | − | 0.0653528i | −0.134798 | − | 0.990873i | \(-0.543039\pi\) |
0.378698 | + | 0.925520i | \(0.376372\pi\) | |||||||
\(138\) | 1.21596 | − | 0.0704834i | 0.103509 | − | 0.00599995i | ||||
\(139\) | −9.79347 | − | 5.65426i | −0.830671 | − | 0.479588i | 0.0234111 | − | 0.999726i | \(-0.492547\pi\) |
−0.854083 | + | 0.520138i | \(0.825881\pi\) | |||||||
\(140\) | −0.960670 | − | 1.14865i | −0.0811914 | − | 0.0970785i | ||||
\(141\) | 9.75476 | − | 3.22938i | 0.821499 | − | 0.271963i | ||||
\(142\) | 2.31595 | + | 8.64324i | 0.194350 | + | 0.725324i | ||||
\(143\) | 1.03666 | + | 3.86887i | 0.0866899 | + | 0.323531i | ||||
\(144\) | 1.79014 | + | 2.40736i | 0.149178 | + | 0.200614i | ||||
\(145\) | −1.79344 | − | 0.159828i | −0.148937 | − | 0.0132730i | ||||
\(146\) | 0.0595839 | + | 0.0344008i | 0.00493120 | + | 0.00284703i | ||||
\(147\) | −0.656665 | − | 11.3286i | −0.0541609 | − | 0.934366i | ||||
\(148\) | 10.2747 | − | 2.75309i | 0.844571 | − | 0.226302i | ||||
\(149\) | 5.57303 | + | 9.65277i | 0.456560 | + | 0.790785i | 0.998776 | − | 0.0494535i | \(-0.0157480\pi\) |
−0.542216 | + | 0.840239i | \(0.682415\pi\) | |||||||
\(150\) | 5.34752 | + | 6.81205i | 0.436623 | + | 0.556202i | ||||
\(151\) | −3.44466 | −0.280323 | −0.140161 | − | 0.990129i | \(-0.544762\pi\) | ||||
−0.140161 | + | 0.990129i | \(0.544762\pi\) | |||||||
\(152\) | −0.165660 | − | 4.35575i | −0.0134368 | − | 0.353298i | ||||
\(153\) | −3.21800 | + | 21.8845i | −0.260160 | + | 1.76926i | ||||
\(154\) | −0.848764 | + | 0.490034i | −0.0683953 | + | 0.0394881i | ||||
\(155\) | −0.828212 | − | 1.78363i | −0.0665236 | − | 0.143264i | ||||
\(156\) | 4.64209 | + | 0.959856i | 0.371665 | + | 0.0768500i | ||||
\(157\) | 18.7188 | + | 5.01569i | 1.49392 | + | 0.400296i | 0.911060 | − | 0.412274i | \(-0.135265\pi\) |
0.582864 | + | 0.812569i | \(0.301932\pi\) | |||||||
\(158\) | 2.48313 | + | 9.26718i | 0.197548 | + | 0.737257i | ||||
\(159\) | −0.0348648 | − | 0.105314i | −0.00276496 | − | 0.00835193i | ||||
\(160\) | −1.43455 | − | 1.71525i | −0.113411 | − | 0.135602i | ||||
\(161\) | 0.407828 | + | 0.235459i | 0.0321413 | + | 0.0185568i | ||||
\(162\) | −0.271734 | + | 8.99590i | −0.0213494 | + | 0.706784i | ||||
\(163\) | 16.7241 | + | 16.7241i | 1.30993 | + | 1.30993i | 0.921459 | + | 0.388475i | \(0.126998\pi\) |
0.388475 | + | 0.921459i | \(0.373002\pi\) | |||||||
\(164\) | 1.79901 | 0.140479 | ||||||||
\(165\) | 4.99421 | − | 2.68066i | 0.388798 | − | 0.208689i | ||||
\(166\) | −3.47844 | − | 6.02484i | −0.269979 | − | 0.467618i | ||||
\(167\) | 17.2490 | − | 4.62185i | 1.33477 | − | 0.357649i | 0.480276 | − | 0.877117i | \(-0.340537\pi\) |
0.854490 | + | 0.519468i | \(0.173870\pi\) | |||||||
\(168\) | 0.0671213 | + | 1.15796i | 0.00517852 | + | 0.0893382i | ||||
\(169\) | −4.77171 | + | 2.75495i | −0.367054 | + | 0.211919i | ||||
\(170\) | 1.46350 | − | 16.4221i | 0.112245 | − | 1.25951i | ||||
\(171\) | 7.72078 | − | 10.5541i | 0.590423 | − | 0.807094i | ||||
\(172\) | −0.219216 | + | 0.219216i | −0.0167150 | + | 0.0167150i | ||||
\(173\) | −10.2622 | − | 2.74974i | −0.780218 | − | 0.209059i | −0.153337 | − | 0.988174i | \(-0.549002\pi\) |
−0.626881 | + | 0.779115i | \(0.715669\pi\) | |||||||
\(174\) | 1.04162 | + | 0.927480i | 0.0789650 | + | 0.0703121i | ||||
\(175\) | 0.281042 | + | 3.33653i | 0.0212448 | + | 0.252218i | ||||
\(176\) | −1.26744 | + | 0.731756i | −0.0955368 | + | 0.0551582i | ||||
\(177\) | 0.810724 | + | 1.23339i | 0.0609378 | + | 0.0927073i | ||||
\(178\) | 12.7718 | + | 12.7718i | 0.957290 | + | 0.957290i | ||||
\(179\) | 11.1861 | 0.836091 | 0.418045 | − | 0.908426i | \(-0.362715\pi\) | ||||
0.418045 | + | 0.908426i | \(0.362715\pi\) | |||||||
\(180\) | −0.180550 | − | 6.70577i | −0.0134574 | − | 0.499819i | ||||
\(181\) | −5.90788 | + | 10.2327i | −0.439129 | + | 0.760594i | −0.997623 | − | 0.0689150i | \(-0.978046\pi\) |
0.558493 | + | 0.829509i | \(0.311380\pi\) | |||||||
\(182\) | 1.29595 | + | 1.29595i | 0.0960623 | + | 0.0960623i | ||||
\(183\) | −0.237640 | + | 0.472854i | −0.0175669 | + | 0.0349544i | ||||
\(184\) | 0.609000 | + | 0.351606i | 0.0448960 | + | 0.0259207i | ||||
\(185\) | −22.3377 | − | 8.17117i | −1.64230 | − | 0.600756i | ||||
\(186\) | −0.308446 | + | 1.49172i | −0.0226163 | + | 0.109378i | ||||
\(187\) | −10.4232 | − | 2.79288i | −0.762219 | − | 0.204236i | ||||
\(188\) | 5.73037 | + | 1.53545i | 0.417930 | + | 0.111984i | ||||
\(189\) | −1.99824 | + | 2.84874i | −0.145351 | + | 0.207216i | ||||
\(190\) | −5.29629 | + | 8.18226i | −0.384233 | + | 0.593603i | ||||
\(191\) | 15.1404i | 1.09552i | 0.836636 | + | 0.547759i | \(0.184519\pi\) | ||||
−0.836636 | + | 0.547759i | \(0.815481\pi\) | |||||||
\(192\) | 0.100231 | + | 1.72915i | 0.00723352 | + | 0.124791i | ||||
\(193\) | 0.299235 | − | 1.11676i | 0.0215394 | − | 0.0803863i | −0.954320 | − | 0.298788i | \(-0.903418\pi\) |
0.975859 | + | 0.218402i | \(0.0700843\pi\) | |||||||
\(194\) | −6.69116 | + | 11.5894i | −0.480397 | + | 0.832072i | ||||
\(195\) | −7.25928 | − | 7.72363i | −0.519848 | − | 0.553101i | ||||
\(196\) | 3.27577 | − | 5.67380i | 0.233984 | − | 0.405272i | ||||
\(197\) | −14.1804 | − | 14.1804i | −1.01031 | − | 1.01031i | −0.999946 | − | 0.0103647i | \(-0.996701\pi\) |
−0.0103647 | − | 0.999946i | \(-0.503299\pi\) | |||||||
\(198\) | −4.34383 | − | 0.638736i | −0.308702 | − | 0.0453930i | ||||
\(199\) | −12.5050 | − | 7.21975i | −0.886455 | − | 0.511795i | −0.0136734 | − | 0.999907i | \(-0.504353\pi\) |
−0.872781 | + | 0.488112i | \(0.837686\pi\) | |||||||
\(200\) | 0.419673 | + | 4.98236i | 0.0296754 | + | 0.352306i | ||||
\(201\) | −7.35274 | − | 22.2099i | −0.518622 | − | 1.56657i | ||||
\(202\) | −6.89625 | + | 6.89625i | −0.485219 | + | 0.485219i | ||||
\(203\) | 0.139565 | + | 0.520864i | 0.00979555 | + | 0.0365575i | ||||
\(204\) | −8.49268 | + | 9.53782i | −0.594606 | + | 0.667781i | ||||
\(205\) | −3.29148 | − | 2.31266i | −0.229887 | − | 0.161523i | ||||
\(206\) | 6.82449 | − | 3.94012i | 0.475484 | − | 0.274521i | ||||
\(207\) | 0.777804 | + | 1.96102i | 0.0540611 | + | 0.136300i | ||||
\(208\) | 1.93521 | + | 1.93521i | 0.134183 | + | 0.134183i | ||||
\(209\) | 4.67902 | + | 4.33615i | 0.323655 | + | 0.299938i | ||||
\(210\) | 1.36576 | − | 2.20489i | 0.0942467 | − | 0.152152i | ||||
\(211\) | −6.94383 | − | 12.0271i | −0.478033 | − | 0.827978i | 0.521650 | − | 0.853160i | \(-0.325317\pi\) |
−0.999683 | + | 0.0251821i | \(0.991983\pi\) | |||||||
\(212\) | 0.0165769 | − | 0.0618659i | 0.00113851 | − | 0.00424897i | ||||
\(213\) | −12.9513 | + | 8.51305i | −0.887407 | + | 0.583304i | ||||
\(214\) | 10.0220 | − | 5.78622i | 0.685092 | − | 0.395538i | ||||
\(215\) | 0.682883 | − | 0.119273i | 0.0465722 | − | 0.00813434i | ||||
\(216\) | −2.98393 | + | 4.25396i | −0.203031 | + | 0.289445i | ||||
\(217\) | −0.416449 | + | 0.416449i | −0.0282704 | + | 0.0282704i | ||||
\(218\) | −3.02080 | − | 11.2738i | −0.204595 | − | 0.763557i | ||||
\(219\) | −0.0241302 | + | 0.116699i | −0.00163057 | + | 0.00788580i | ||||
\(220\) | 3.25959 | + | 0.290488i | 0.219762 | + | 0.0195847i | ||||
\(221\) | 20.1792i | 1.35740i | ||||||||
\(222\) | 10.1199 | + | 15.3958i | 0.679203 | + | 1.03330i | ||||
\(223\) | 6.30595 | − | 23.5341i | 0.422278 | − | 1.57596i | −0.347520 | − | 0.937673i | \(-0.612976\pi\) |
0.769797 | − | 0.638289i | \(-0.220357\pi\) | |||||||
\(224\) | −0.334834 | + | 0.579950i | −0.0223721 | + | 0.0387495i | ||||
\(225\) | −8.29004 | + | 12.5010i | −0.552669 | + | 0.833401i | ||||
\(226\) | 6.73826 | + | 11.6710i | 0.448222 | + | 0.776344i | ||||
\(227\) | −2.43006 | − | 2.43006i | −0.161289 | − | 0.161289i | 0.621849 | − | 0.783137i | \(-0.286382\pi\) |
−0.783137 | + | 0.621849i | \(0.786382\pi\) | |||||||
\(228\) | 7.07193 | − | 2.64345i | 0.468350 | − | 0.175067i | ||||
\(229\) | − | 3.18464i | − | 0.210447i | −0.994449 | − | 0.105223i | \(-0.966444\pi\) | ||
0.994449 | − | 0.105223i | \(-0.0335558\pi\) | |||||||
\(230\) | −0.662233 | − | 1.42618i | −0.0436664 | − | 0.0940394i | ||||
\(231\) | −1.26778 | − | 1.12886i | −0.0834140 | − | 0.0742736i | ||||
\(232\) | 0.208409 | + | 0.777794i | 0.0136827 | + | 0.0510647i | ||||
\(233\) | −22.5745 | − | 6.04881i | −1.47890 | − | 0.396271i | −0.572929 | − | 0.819605i | \(-0.694193\pi\) |
−0.905973 | + | 0.423334i | \(0.860860\pi\) | |||||||
\(234\) | 0.948652 | + | 8.15543i | 0.0620153 | + | 0.533137i | ||||
\(235\) | −8.51047 | − | 10.1757i | −0.555162 | − | 0.663792i | ||||
\(236\) | 0.852159i | 0.0554708i | ||||||||
\(237\) | −13.8862 | + | 9.12759i | −0.902006 | + | 0.592901i | ||||
\(238\) | −4.76940 | + | 1.27796i | −0.309155 | + | 0.0828377i | ||||
\(239\) | 27.8662 | 1.80251 | 0.901257 | − | 0.433286i | \(-0.142646\pi\) | ||||
0.901257 | + | 0.433286i | \(0.142646\pi\) | |||||||
\(240\) | 2.03946 | − | 3.29250i | 0.131647 | − | 0.212530i | ||||
\(241\) | 6.99994 | − | 12.1242i | 0.450906 | − | 0.780992i | −0.547537 | − | 0.836782i | \(-0.684434\pi\) |
0.998443 | + | 0.0557900i | \(0.0177677\pi\) | |||||||
\(242\) | −2.29265 | + | 8.55630i | −0.147377 | + | 0.550020i | ||||
\(243\) | −14.9398 | + | 4.45012i | −0.958386 | + | 0.285476i | ||||
\(244\) | −0.264605 | + | 0.152770i | −0.0169396 | + | 0.00978009i | ||||
\(245\) | −13.2871 | + | 6.16976i | −0.848883 | + | 0.394171i | ||||
\(246\) | 0.979296 | + | 2.95809i | 0.0624376 | + | 0.188601i | ||||
\(247\) | 5.56778 | − | 10.5504i | 0.354270 | − | 0.671308i | ||||
\(248\) | −0.621873 | + | 0.621873i | −0.0394890 | + | 0.0394890i | ||||
\(249\) | 8.01307 | − | 8.99919i | 0.507807 | − | 0.570300i | ||||
\(250\) | 5.63706 | − | 9.65524i | 0.356519 | − | 0.610651i | ||||
\(251\) | −18.7854 | − | 10.8457i | −1.18572 | − | 0.684577i | −0.228391 | − | 0.973569i | \(-0.573347\pi\) |
−0.957332 | + | 0.288992i | \(0.906680\pi\) | |||||||
\(252\) | −1.86747 | + | 0.740702i | −0.117640 | + | 0.0466599i | ||||
\(253\) | −0.994092 | + | 0.266366i | −0.0624980 | + | 0.0167463i | ||||
\(254\) | 2.66690 | 0.167336 | ||||||||
\(255\) | 27.7993 | − | 6.53297i | 1.74086 | − | 0.409111i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −8.52828 | + | 2.28515i | −0.531979 | + | 0.142543i | −0.514802 | − | 0.857309i | \(-0.672135\pi\) |
−0.0171772 | + | 0.999852i | \(0.505468\pi\) | |||||||
\(258\) | −0.479784 | − | 0.241123i | −0.0298701 | − | 0.0150117i | ||||
\(259\) | 7.12333i | 0.442622i | ||||||||
\(260\) | −1.05293 | − | 6.02842i | −0.0652999 | − | 0.373867i | ||||
\(261\) | −0.958037 | + | 2.21760i | −0.0593010 | + | 0.137266i | ||||
\(262\) | −2.69076 | − | 10.0420i | −0.166236 | − | 0.620400i | ||||
\(263\) | 18.7339 | + | 5.01973i | 1.15518 | + | 0.309530i | 0.785040 | − | 0.619445i | \(-0.212643\pi\) |
0.370142 | + | 0.928975i | \(0.379309\pi\) | |||||||
\(264\) | −1.89315 | − | 1.68570i | −0.116515 | − | 0.103748i | ||||
\(265\) | −0.109859 | + | 0.0918802i | −0.00674857 | + | 0.00564416i | ||||
\(266\) | 2.84623 | + | 0.647794i | 0.174514 | + | 0.0397188i | ||||
\(267\) | −14.0482 | + | 27.9530i | −0.859736 | + | 1.71069i | ||||
\(268\) | 3.49596 | − | 13.0471i | 0.213549 | − | 0.796977i | ||||
\(269\) | 4.46459 | + | 7.73290i | 0.272211 | + | 0.471483i | 0.969428 | − | 0.245377i | \(-0.0789119\pi\) |
−0.697217 | + | 0.716860i | \(0.745579\pi\) | |||||||
\(270\) | 10.9279 | − | 3.94718i | 0.665053 | − | 0.240218i | ||||
\(271\) | −1.48390 | − | 2.57018i | −0.0901403 | − | 0.156128i | 0.817430 | − | 0.576028i | \(-0.195398\pi\) |
−0.907570 | + | 0.419901i | \(0.862065\pi\) | |||||||
\(272\) | −7.12204 | + | 1.90834i | −0.431837 | + | 0.115710i | ||||
\(273\) | −1.42546 | + | 2.83637i | −0.0862730 | + | 0.171665i | ||||
\(274\) | 2.95548i | 0.178547i | ||||||||
\(275\) | −5.59034 | − | 4.72174i | −0.337110 | − | 0.284731i | ||||
\(276\) | −0.246631 | + | 1.19277i | −0.0148455 | + | 0.0717962i | ||||
\(277\) | 11.1413 | − | 11.1413i | 0.669416 | − | 0.669416i | −0.288165 | − | 0.957581i | \(-0.593045\pi\) |
0.957581 | + | 0.288165i | \(0.0930451\pi\) | |||||||
\(278\) | 7.99634 | − | 7.99634i | 0.479588 | − | 0.479588i | ||||
\(279\) | −2.62071 | + | 0.304845i | −0.156898 | + | 0.0182506i | ||||
\(280\) | 1.35815 | − | 0.630644i | 0.0811649 | − | 0.0376882i | ||||
\(281\) | 7.45644 | + | 4.30497i | 0.444814 | + | 0.256813i | 0.705637 | − | 0.708573i | \(-0.250661\pi\) |
−0.260824 | + | 0.965386i | \(0.583994\pi\) | |||||||
\(282\) | 0.594620 | + | 10.2582i | 0.0354091 | + | 0.610867i | ||||
\(283\) | 3.76031 | − | 14.0337i | 0.223527 | − | 0.834214i | −0.759462 | − | 0.650551i | \(-0.774538\pi\) |
0.982989 | − | 0.183663i | \(-0.0587955\pi\) | |||||||
\(284\) | −8.94814 | −0.530974 | ||||||||
\(285\) | −16.3370 | − | 4.25460i | −0.967722 | − | 0.252021i | ||||
\(286\) | −4.00535 | −0.236841 | ||||||||
\(287\) | −0.311810 | + | 1.16369i | −0.0184056 | + | 0.0686905i | ||||
\(288\) | −2.78866 | + | 1.10607i | −0.164323 | + | 0.0651760i | ||||
\(289\) | −32.3592 | − | 18.6826i | −1.90348 | − | 1.09898i | ||||
\(290\) | 0.618559 | − | 1.69097i | 0.0363230 | − | 0.0992970i | ||||
\(291\) | −22.6987 | − | 4.69346i | −1.33062 | − | 0.275136i | ||||
\(292\) | −0.0486501 | + | 0.0486501i | −0.00284703 | + | 0.00284703i | ||||
\(293\) | 14.8280 | − | 14.8280i | 0.866262 | − | 0.866262i | −0.125795 | − | 0.992056i | \(-0.540148\pi\) |
0.992056 | + | 0.125795i | \(0.0401480\pi\) | |||||||
\(294\) | 11.1125 | + | 2.29777i | 0.648096 | + | 0.134008i | ||||
\(295\) | 1.09546 | − | 1.55911i | 0.0637804 | − | 0.0907751i | ||||
\(296\) | 10.6371i | 0.618269i | ||||||||
\(297\) | −1.31430 | − | 7.49020i | −0.0762637 | − | 0.434625i | ||||
\(298\) | −10.7663 | + | 2.88481i | −0.623673 | + | 0.167113i | ||||
\(299\) | 0.962278 | + | 1.66671i | 0.0556500 | + | 0.0963885i | ||||
\(300\) | −7.96398 | + | 3.40222i | −0.459800 | + | 0.196427i | ||||
\(301\) | −0.103805 | − | 0.179795i | −0.00598320 | − | 0.0103632i | ||||
\(302\) | 0.891544 | − | 3.32729i | 0.0513026 | − | 0.191464i | ||||
\(303\) | −15.0934 | − | 7.58543i | −0.867094 | − | 0.435772i | ||||
\(304\) | 4.25021 | + | 0.967336i | 0.243766 | + | 0.0554805i | ||||
\(305\) | 0.680511 | + | 0.0606456i | 0.0389659 | + | 0.00347256i | ||||
\(306\) | −20.3059 | − | 8.77247i | −1.16081 | − | 0.501489i | ||||
\(307\) | −31.0826 | − | 8.32855i | −1.77398 | − | 0.475336i | −0.784513 | − | 0.620113i | \(-0.787087\pi\) |
−0.989464 | + | 0.144777i | \(0.953754\pi\) | |||||||
\(308\) | −0.253660 | − | 0.946673i | −0.0144536 | − | 0.0539417i | ||||
\(309\) | 10.1936 | + | 9.07661i | 0.579894 | + | 0.516350i | ||||
\(310\) | 1.93721 | − | 0.338354i | 0.110026 | − | 0.0192172i | ||||
\(311\) | 16.0211i | 0.908474i | 0.890881 | + | 0.454237i | \(0.150088\pi\) | ||||
−0.890881 | + | 0.454237i | \(0.849912\pi\) | |||||||
\(312\) | −2.12861 | + | 4.23549i | −0.120509 | + | 0.239787i | ||||
\(313\) | 18.5052 | − | 4.95847i | 1.04598 | − | 0.280269i | 0.305390 | − | 0.952228i | \(-0.401213\pi\) |
0.740589 | + | 0.671958i | \(0.234547\pi\) | |||||||
\(314\) | −9.68957 | + | 16.7828i | −0.546814 | + | 0.947110i | ||||
\(315\) | 4.36892 | + | 1.04548i | 0.246161 | + | 0.0589059i | ||||
\(316\) | −9.59409 | −0.539710 | ||||||||
\(317\) | −4.27919 | + | 1.14661i | −0.240343 | + | 0.0643998i | −0.376980 | − | 0.926221i | \(-0.623037\pi\) |
0.136636 | + | 0.990621i | \(0.456371\pi\) | |||||||
\(318\) | 0.110749 | − | 0.00641960i | 0.00621049 | − | 0.000359993i | ||||
\(319\) | −1.02058 | − | 0.589233i | −0.0571416 | − | 0.0329907i | ||||
\(320\) | 2.02809 | − | 0.941726i | 0.113374 | − | 0.0526441i | ||||
\(321\) | 14.9697 | + | 13.3294i | 0.835529 | + | 0.743972i | ||||
\(322\) | −0.332990 | + | 0.332990i | −0.0185568 | + | 0.0185568i | ||||
\(323\) | 17.1159 | + | 27.2027i | 0.952353 | + | 1.51360i | ||||
\(324\) | −8.61904 | − | 2.59078i | −0.478836 | − | 0.143932i | ||||
\(325\) | −5.82319 | + | 12.3832i | −0.323012 | + | 0.686895i | ||||
\(326\) | −20.4828 | + | 11.8257i | −1.13444 | + | 0.654967i | ||||
\(327\) | 16.8930 | − | 11.1040i | 0.934183 | − | 0.614051i | ||||
\(328\) | −0.465619 | + | 1.73771i | −0.0257095 | + | 0.0959491i | ||||
\(329\) | −1.98641 | + | 3.44056i | −0.109514 | + | 0.189684i | ||||
\(330\) | 1.29672 | + | 5.51784i | 0.0713821 | + | 0.303747i | ||||
\(331\) | 23.2753 | 1.27933 | 0.639664 | − | 0.768654i | \(-0.279073\pi\) | ||||
0.639664 | + | 0.768654i | \(0.279073\pi\) | |||||||
\(332\) | 6.71983 | − | 1.80057i | 0.368799 | − | 0.0988193i | ||||
\(333\) | −19.8064 | + | 25.0208i | −1.08538 | + | 1.37113i | ||||
\(334\) | 17.8575i | 0.977116i | ||||||||
\(335\) | −23.1684 | + | 19.3769i | −1.26583 | + | 1.05867i | ||||
\(336\) | −1.13587 | − | 0.234867i | −0.0619669 | − | 0.0128130i | ||||
\(337\) | 22.9650 | + | 6.15345i | 1.25098 | + | 0.335200i | 0.822716 | − | 0.568452i | \(-0.192458\pi\) |
0.428267 | + | 0.903652i | \(0.359124\pi\) | |||||||
\(338\) | −1.42607 | − | 5.32215i | −0.0775677 | − | 0.289487i | ||||
\(339\) | −15.5225 | + | 17.4328i | −0.843067 | + | 0.946818i | ||||
\(340\) | 15.4837 | + | 5.66397i | 0.839722 | + | 0.307172i | ||||
\(341\) | − | 1.28710i | − | 0.0697005i | ||||||
\(342\) | 8.19621 | + | 10.1893i | 0.443200 | + | 0.550975i | ||||
\(343\) | 6.41702 | + | 6.41702i | 0.346487 | + | 0.346487i | ||||
\(344\) | −0.155009 | − | 0.268483i | −0.00835752 | − | 0.0144756i | ||||
\(345\) | 1.98456 | − | 1.86524i | 0.106845 | − | 0.100421i | ||||
\(346\) | 5.31209 | − | 9.20081i | 0.285580 | − | 0.494638i | ||||
\(347\) | 0.359779 | − | 1.34271i | 0.0193139 | − | 0.0720805i | −0.955596 | − | 0.294679i | \(-0.904787\pi\) |
0.974910 | + | 0.222599i | \(0.0714539\pi\) | |||||||
\(348\) | −1.16547 | + | 0.766078i | −0.0624757 | + | 0.0410661i | ||||
\(349\) | 12.0994i | 0.647666i | 0.946114 | + | 0.323833i | \(0.104972\pi\) | ||||
−0.946114 | + | 0.323833i | \(0.895028\pi\) | |||||||
\(350\) | −3.29558 | − | 0.592091i | −0.176156 | − | 0.0316486i | ||||
\(351\) | −12.8935 | + | 5.99928i | −0.688202 | + | 0.320218i | ||||
\(352\) | −0.378785 | − | 1.41364i | −0.0201893 | − | 0.0753475i | ||||
\(353\) | 22.7994 | − | 22.7994i | 1.21349 | − | 1.21349i | 0.243615 | − | 0.969872i | \(-0.421667\pi\) |
0.969872 | − | 0.243615i | \(-0.0783335\pi\) | |||||||
\(354\) | −1.40119 | + | 0.463874i | −0.0744727 | + | 0.0246547i | ||||
\(355\) | 16.3715 | + | 11.5030i | 0.868911 | + | 0.610514i | ||||
\(356\) | −15.6423 | + | 9.03106i | −0.829038 | + | 0.478645i | ||||
\(357\) | −4.69756 | − | 7.14661i | −0.248621 | − | 0.378239i | ||||
\(358\) | −2.89518 | + | 10.8050i | −0.153015 | + | 0.571061i | ||||
\(359\) | 4.02530 | + | 6.97202i | 0.212447 | + | 0.367969i | 0.952480 | − | 0.304602i | \(-0.0985233\pi\) |
−0.740033 | + | 0.672571i | \(0.765190\pi\) | |||||||
\(360\) | 6.52401 | + | 1.56118i | 0.343846 | + | 0.0822816i | ||||
\(361\) | −1.44314 | − | 18.9451i | −0.0759549 | − | 0.997111i | ||||
\(362\) | −8.35500 | − | 8.35500i | −0.439129 | − | 0.439129i | ||||
\(363\) | −15.3170 | + | 0.887856i | −0.803935 | + | 0.0466004i | ||||
\(364\) | −1.58721 | + | 0.916376i | −0.0831924 | + | 0.0480312i | ||||
\(365\) | 0.151551 | − | 0.0264700i | 0.00793253 | − | 0.00138550i | ||||
\(366\) | −0.395236 | − | 0.351926i | −0.0206593 | − | 0.0183955i | ||||
\(367\) | −0.288028 | − | 1.07493i | −0.0150349 | − | 0.0561111i | 0.958001 | − | 0.286765i | \(-0.0925800\pi\) |
−0.973036 | + | 0.230654i | \(0.925913\pi\) | |||||||
\(368\) | −0.497246 | + | 0.497246i | −0.0259207 | + | 0.0259207i | ||||
\(369\) | −4.33087 | + | 3.22049i | −0.225456 | + | 0.167652i | ||||
\(370\) | 13.6742 | − | 19.4617i | 0.710886 | − | 1.01177i | ||||
\(371\) | 0.0371448 | + | 0.0214456i | 0.00192846 | + | 0.00111340i | ||||
\(372\) | −1.36106 | − | 0.684021i | −0.0705675 | − | 0.0354648i | ||||
\(373\) | 9.99040 | + | 9.99040i | 0.517283 | + | 0.517283i | 0.916748 | − | 0.399465i | \(-0.130804\pi\) |
−0.399465 | + | 0.916748i | \(0.630804\pi\) | |||||||
\(374\) | 5.39544 | − | 9.34518i | 0.278992 | − | 0.483227i | ||||
\(375\) | 18.9445 | + | 4.01310i | 0.978291 | + | 0.207236i | ||||
\(376\) | −2.96626 | + | 5.13771i | −0.152973 | + | 0.264957i | ||||
\(377\) | −0.570375 | + | 2.12867i | −0.0293758 | + | 0.109632i | ||||
\(378\) | −2.23449 | − | 2.66746i | −0.114930 | − | 0.137199i | ||||
\(379\) | 20.0332i | 1.02903i | 0.857480 | + | 0.514517i | \(0.172029\pi\) | ||||
−0.857480 | + | 0.514517i | \(0.827971\pi\) | |||||||
\(380\) | −6.53267 | − | 7.23355i | −0.335119 | − | 0.371073i | ||||
\(381\) | 1.45173 | + | 4.38514i | 0.0743744 | + | 0.224658i | ||||
\(382\) | −14.6245 | − | 3.91862i | −0.748253 | − | 0.200494i | ||||
\(383\) | −12.3726 | − | 3.31522i | −0.632208 | − | 0.169400i | −0.0715365 | − | 0.997438i | \(-0.522790\pi\) |
−0.560671 | + | 0.828038i | \(0.689457\pi\) | |||||||
\(384\) | −1.69617 | − | 0.350721i | −0.0865573 | − | 0.0178977i | ||||
\(385\) | −0.752864 | + | 2.05812i | −0.0383695 | + | 0.104892i | ||||
\(386\) | 1.00126 | + | 0.578078i | 0.0509628 | + | 0.0294234i | ||||
\(387\) | 0.135304 | − | 0.920159i | 0.00687791 | − | 0.0467743i | ||||
\(388\) | −9.46273 | − | 9.46273i | −0.480397 | − | 0.480397i | ||||
\(389\) | 13.8874 | − | 24.0538i | 0.704121 | − | 1.21957i | −0.262887 | − | 0.964827i | \(-0.584675\pi\) |
0.967008 | − | 0.254747i | \(-0.0819921\pi\) | |||||||
\(390\) | 9.33929 | − | 5.01290i | 0.472914 | − | 0.253838i | ||||
\(391\) | −5.18498 | −0.262216 | ||||||||
\(392\) | 4.63264 | + | 4.63264i | 0.233984 | + | 0.233984i | ||||
\(393\) | 15.0473 | − | 9.89079i | 0.759036 | − | 0.498924i | ||||
\(394\) | 17.3674 | − | 10.0271i | 0.874955 | − | 0.505156i | ||||
\(395\) | 17.5534 | + | 12.3334i | 0.883207 | + | 0.620558i | ||||
\(396\) | 1.74124 | − | 4.03050i | 0.0875004 | − | 0.202540i | ||||
\(397\) | −21.4495 | − | 5.74737i | −1.07652 | − | 0.288452i | −0.323349 | − | 0.946280i | \(-0.604809\pi\) |
−0.753169 | + | 0.657828i | \(0.771476\pi\) | |||||||
\(398\) | 10.2103 | − | 10.2103i | 0.511795 | − | 0.511795i | ||||
\(399\) | 0.484190 | + | 5.03265i | 0.0242398 | + | 0.251947i | ||||
\(400\) | −4.92121 | − | 0.884156i | −0.246060 | − | 0.0442078i | ||||
\(401\) | −11.2609 | + | 6.50151i | −0.562345 | + | 0.324670i | −0.754086 | − | 0.656776i | \(-0.771920\pi\) |
0.191741 | + | 0.981446i | \(0.438587\pi\) | |||||||
\(402\) | 23.3562 | − | 1.35385i | 1.16490 | − | 0.0675238i | ||||
\(403\) | −2.32490 | + | 0.622956i | −0.115812 | + | 0.0310316i | ||||
\(404\) | −4.87639 | − | 8.44615i | −0.242609 | − | 0.420212i | ||||
\(405\) | 12.4389 | + | 15.8200i | 0.618096 | + | 0.786103i | ||||
\(406\) | −0.539238 | −0.0267619 | ||||||||
\(407\) | −11.0079 | − | 11.0079i | −0.545642 | − | 0.545642i | ||||
\(408\) | −7.01476 | − | 10.6719i | −0.347282 | − | 0.528336i | ||||
\(409\) | 21.4633 | + | 12.3919i | 1.06129 | + | 0.612738i | 0.925790 | − | 0.378038i | \(-0.123401\pi\) |
0.135504 | + | 0.990777i | \(0.456735\pi\) | |||||||
\(410\) | 3.08575 | − | 2.58077i | 0.152394 | − | 0.127455i | ||||
\(411\) | −4.85966 | + | 1.60882i | −0.239709 | + | 0.0793574i | ||||
\(412\) | 2.03956 | + | 7.61172i | 0.100482 | + | 0.375003i | ||||
\(413\) | −0.551219 | − | 0.147699i | −0.0271237 | − | 0.00726778i | ||||
\(414\) | −2.09551 | + | 0.243753i | −0.102989 | + | 0.0119798i | ||||
\(415\) | −14.6093 | − | 5.34411i | −0.717142 | − | 0.262332i | ||||
\(416\) | −2.37014 | + | 1.36840i | −0.116206 | + | 0.0670915i | ||||
\(417\) | 17.5011 | + | 8.79545i | 0.857032 | + | 0.430715i | ||||
\(418\) | −5.39942 | + | 3.39731i | −0.264094 | + | 0.166168i | ||||
\(419\) | −11.0792 | −0.541254 | −0.270627 | − | 0.962684i | \(-0.587231\pi\) | ||||
−0.270627 | + | 0.962684i | \(0.587231\pi\) | |||||||
\(420\) | 1.77627 | + | 1.88989i | 0.0866731 | + | 0.0922174i | ||||
\(421\) | −0.996093 | − | 1.72528i | −0.0485466 | − | 0.0840852i | 0.840731 | − | 0.541453i | \(-0.182126\pi\) |
−0.889278 | + | 0.457368i | \(0.848792\pi\) | |||||||
\(422\) | 13.4145 | − | 3.59439i | 0.653005 | − | 0.174972i | ||||
\(423\) | −16.5438 | + | 6.56180i | −0.804385 | + | 0.319046i | ||||
\(424\) | 0.0554674 | + | 0.0320241i | 0.00269374 | + | 0.00155523i | ||||
\(425\) | −21.0479 | − | 30.2674i | −1.02098 | − | 1.46818i | ||||
\(426\) | −4.87093 | − | 14.7133i | −0.235998 | − | 0.712862i | ||||
\(427\) | −0.0529571 | − | 0.197638i | −0.00256277 | − | 0.00956439i | ||||
\(428\) | 2.99517 | + | 11.1781i | 0.144777 | + | 0.540315i | ||||
\(429\) | −2.18032 | − | 6.58594i | −0.105267 | − | 0.317972i | ||||
\(430\) | −0.0615344 | + | 0.690484i | −0.00296745 | + | 0.0332981i | ||||
\(431\) | −23.7422 | − | 13.7075i | −1.14362 | − | 0.660269i | −0.196295 | − | 0.980545i | \(-0.562891\pi\) |
−0.947324 | + | 0.320276i | \(0.896224\pi\) | |||||||
\(432\) | −3.33671 | − | 3.98326i | −0.160538 | − | 0.191645i | ||||
\(433\) | −13.5060 | + | 3.61892i | −0.649056 | + | 0.173914i | −0.568302 | − | 0.822820i | \(-0.692400\pi\) |
−0.0807542 | + | 0.996734i | \(0.525733\pi\) | |||||||
\(434\) | −0.294474 | − | 0.510044i | −0.0141352 | − | 0.0244829i | ||||
\(435\) | 3.11715 | + | 0.0966078i | 0.149456 | + | 0.00463199i | ||||
\(436\) | 11.6715 | 0.558963 | ||||||||
\(437\) | 2.71090 | + | 1.43062i | 0.129680 | + | 0.0684359i | ||||
\(438\) | −0.106477 | − | 0.0535119i | −0.00508769 | − | 0.00255690i | ||||
\(439\) | 7.98567 | − | 4.61053i | 0.381135 | − | 0.220049i | −0.297177 | − | 0.954822i | \(-0.596045\pi\) |
0.678312 | + | 0.734774i | \(0.262712\pi\) | |||||||
\(440\) | −1.12423 | + | 3.07334i | −0.0535958 | + | 0.146516i | ||||
\(441\) | 2.27094 | + | 19.5230i | 0.108140 | + | 0.929667i | ||||
\(442\) | −19.4916 | − | 5.22277i | −0.927123 | − | 0.248422i | ||||
\(443\) | 7.02146 | + | 26.2044i | 0.333599 | + | 1.24501i | 0.905380 | + | 0.424603i | \(0.139586\pi\) |
−0.571780 | + | 0.820407i | \(0.693747\pi\) | |||||||
\(444\) | −17.4905 | + | 5.79033i | −0.830060 | + | 0.274797i | ||||
\(445\) | 40.2287 | + | 3.58509i | 1.90702 | + | 0.169950i | ||||
\(446\) | 21.1001 | + | 12.1822i | 0.999119 | + | 0.576842i | ||||
\(447\) | −10.6041 | − | 16.1325i | −0.501556 | − | 0.763040i | ||||
\(448\) | −0.473527 | − | 0.473527i | −0.0223721 | − | 0.0223721i | ||||
\(449\) | 27.9069 | 1.31701 | 0.658505 | − | 0.752576i | \(-0.271189\pi\) | ||||
0.658505 | + | 0.752576i | \(0.271189\pi\) | |||||||
\(450\) | −9.92943 | − | 11.2431i | −0.468078 | − | 0.530003i | ||||
\(451\) | −1.31644 | − | 2.28014i | −0.0619886 | − | 0.107367i | ||||
\(452\) | −13.0173 | + | 3.48798i | −0.612283 | + | 0.164061i | ||||
\(453\) | 5.95633 | − | 0.345261i | 0.279853 | − | 0.0162218i | ||||
\(454\) | 2.97621 | − | 1.71831i | 0.139680 | − | 0.0806444i | ||||
\(455\) | 4.08198 | + | 0.363777i | 0.191366 | + | 0.0170541i | ||||
\(456\) | 0.723030 | + | 7.51513i | 0.0338590 | + | 0.351928i | ||||
\(457\) | 12.6467 | − | 12.6467i | 0.591590 | − | 0.591590i | −0.346471 | − | 0.938061i | \(-0.612620\pi\) |
0.938061 | + | 0.346471i | \(0.112620\pi\) | |||||||
\(458\) | 3.07612 | + | 0.824245i | 0.143738 | + | 0.0385144i | ||||
\(459\) | 3.37090 | − | 38.1641i | 0.157340 | − | 1.78135i | ||||
\(460\) | 1.54898 | − | 0.270546i | 0.0722216 | − | 0.0126143i | ||||
\(461\) | 17.7657 | − | 10.2570i | 0.827430 | − | 0.477717i | −0.0255419 | − | 0.999674i | \(-0.508131\pi\) |
0.852972 | + | 0.521957i | \(0.174798\pi\) | |||||||
\(462\) | 1.41852 | − | 0.932413i | 0.0659956 | − | 0.0433798i | ||||
\(463\) | −5.83121 | − | 5.83121i | −0.271000 | − | 0.271000i | 0.558503 | − | 0.829503i | \(-0.311376\pi\) |
−0.829503 | + | 0.558503i | \(0.811376\pi\) | |||||||
\(464\) | −0.805231 | −0.0373819 | ||||||||
\(465\) | 1.61088 | + | 3.00115i | 0.0747026 | + | 0.139175i | ||||
\(466\) | 11.6854 | − | 20.2397i | 0.541316 | − | 0.937586i | ||||
\(467\) | 13.9224 | + | 13.9224i | 0.644250 | + | 0.644250i | 0.951597 | − | 0.307347i | \(-0.0994413\pi\) |
−0.307347 | + | 0.951597i | \(0.599441\pi\) | |||||||
\(468\) | −8.12307 | − | 1.19445i | −0.375489 | − | 0.0552136i | ||||
\(469\) | 7.83358 | + | 4.52272i | 0.361721 | + | 0.208840i | ||||
\(470\) | 12.0317 | − | 5.58681i | 0.554980 | − | 0.257700i | ||||
\(471\) | −32.8703 | − | 6.79668i | −1.51459 | − | 0.313174i | ||||
\(472\) | −0.823123 | − | 0.220555i | −0.0378873 | − | 0.0101519i | ||||
\(473\) | 0.438255 | + | 0.117430i | 0.0201510 | + | 0.00539944i | ||||
\(474\) | −5.22256 | − | 15.7754i | −0.239880 | − | 0.724590i | ||||
\(475\) | 2.65337 | + | 21.6324i | 0.121745 | + | 0.992561i | ||||
\(476\) | − | 4.93765i | − | 0.226317i | ||||||
\(477\) | 0.0708421 | + | 0.178609i | 0.00324364 | + | 0.00817793i | ||||
\(478\) | −7.21230 | + | 26.9167i | −0.329883 | + | 1.23114i | ||||
\(479\) | −16.3115 | + | 28.2523i | −0.745291 | + | 1.29088i | 0.204768 | + | 0.978810i | \(0.434356\pi\) |
−0.950059 | + | 0.312071i | \(0.898977\pi\) | |||||||
\(480\) | 2.65246 | + | 2.82213i | 0.121068 | + | 0.128812i | ||||
\(481\) | −14.5558 | + | 25.2115i | −0.663689 | + | 1.14954i | ||||
\(482\) | 9.89941 | + | 9.89941i | 0.450906 | + | 0.450906i | ||||
\(483\) | −0.728795 | − | 0.366268i | −0.0331613 | − | 0.0166658i | ||||
\(484\) | −7.67137 | − | 4.42907i | −0.348699 | − | 0.201321i | ||||
\(485\) | 5.14856 | + | 29.4775i | 0.233784 | + | 1.33851i | ||||
\(486\) | −0.431796 | − | 15.5825i | −0.0195867 | − | 0.706835i | ||||
\(487\) | 26.5540 | − | 26.5540i | 1.20328 | − | 1.20328i | 0.230113 | − | 0.973164i | \(-0.426090\pi\) |
0.973164 | − | 0.230113i | \(-0.0739097\pi\) | |||||||
\(488\) | −0.0790795 | − | 0.295129i | −0.00357976 | − | 0.0133599i | ||||
\(489\) | −30.5947 | − | 27.2422i | −1.38354 | − | 1.23194i | ||||
\(490\) | −2.52057 | − | 14.4312i | −0.113868 | − | 0.651937i | ||||
\(491\) | 30.5324 | − | 17.6279i | 1.37791 | − | 0.795536i | 0.386001 | − | 0.922499i | \(-0.373856\pi\) |
0.991907 | + | 0.126963i | \(0.0405230\pi\) | |||||||
\(492\) | −3.11076 | + | 0.180316i | −0.140244 | + | 0.00812928i | ||||
\(493\) | −4.19823 | − | 4.19823i | −0.189079 | − | 0.189079i | ||||
\(494\) | 8.74989 | + | 8.10872i | 0.393676 | + | 0.364829i | ||||
\(495\) | −8.36704 | + | 5.13583i | −0.376070 | + | 0.230838i | ||||
\(496\) | −0.439731 | − | 0.761636i | −0.0197445 | − | 0.0341985i | ||||
\(497\) | 1.55092 | − | 5.78810i | 0.0695681 | − | 0.259632i | ||||
\(498\) | 6.61861 | + | 10.0692i | 0.296587 | + | 0.451211i | ||||
\(499\) | 19.4635 | − | 11.2372i | 0.871305 | − | 0.503048i | 0.00352301 | − | 0.999994i | \(-0.498879\pi\) |
0.867782 | + | 0.496946i | \(0.165545\pi\) | |||||||
\(500\) | 7.86726 | + | 7.94394i | 0.351835 | + | 0.355264i | ||||
\(501\) | −29.3628 | + | 9.72074i | −1.31183 | + | 0.434291i | ||||
\(502\) | 15.3382 | − | 15.3382i | 0.684577 | − | 0.684577i | ||||
\(503\) | −4.29218 | − | 16.0186i | −0.191379 | − | 0.714235i | −0.993175 | − | 0.116637i | \(-0.962789\pi\) |
0.801796 | − | 0.597598i | \(-0.203878\pi\) | |||||||
\(504\) | −0.232125 | − | 1.99555i | −0.0103397 | − | 0.0888889i | ||||
\(505\) | −1.93580 | + | 21.7218i | −0.0861418 | + | 0.966607i | ||||
\(506\) | − | 1.02916i | − | 0.0457517i | ||||||
\(507\) | 7.97486 | − | 5.24198i | 0.354176 | − | 0.232805i | ||||
\(508\) | −0.690243 | + | 2.57602i | −0.0306246 | + | 0.114293i | ||||
\(509\) | 6.91618 | − | 11.9792i | 0.306554 | − | 0.530968i | −0.671052 | − | 0.741411i | \(-0.734157\pi\) |
0.977606 | + | 0.210443i | \(0.0674905\pi\) | |||||||
\(510\) | −0.884610 | + | 28.5429i | −0.0391712 | + | 1.26390i | ||||
\(511\) | −0.0230371 | − | 0.0399015i | −0.00101910 | − | 0.00176514i | ||||
\(512\) | −0.707107 | − | 0.707107i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | −12.2925 | + | 19.0235i | −0.542729 | + | 0.839908i | ||||
\(514\) | − | 8.82912i | − | 0.389436i | ||||||
\(515\) | 6.05341 | − | 16.5483i | 0.266745 | − | 0.729206i | ||||
\(516\) | 0.357084 | − | 0.401029i | 0.0157198 | − | 0.0176543i | ||||
\(517\) | −2.24715 | − | 8.38647i | −0.0988294 | − | 0.368836i | ||||
\(518\) | −6.88061 | − | 1.84365i | −0.302317 | − | 0.0810055i | ||||
\(519\) | 18.0204 | + | 3.72612i | 0.791008 | + | 0.163559i | ||||
\(520\) | 6.09553 | + | 0.543220i | 0.267307 | + | 0.0238218i | ||||
\(521\) | − | 17.6718i | − | 0.774214i | −0.922035 | − | 0.387107i | \(-0.873474\pi\) | ||
0.922035 | − | 0.387107i | \(-0.126526\pi\) | |||||||
\(522\) | −1.89408 | − | 1.49935i | −0.0829015 | − | 0.0656247i | ||||
\(523\) | −5.30946 | + | 1.42267i | −0.232167 | + | 0.0622088i | −0.373026 | − | 0.927821i | \(-0.621680\pi\) |
0.140860 | + | 0.990030i | \(0.455013\pi\) | |||||||
\(524\) | 10.3963 | 0.454164 | ||||||||
\(525\) | −0.820385 | − | 5.74118i | −0.0358045 | − | 0.250566i | ||||
\(526\) | −9.69738 | + | 16.7963i | −0.422826 | + | 0.732356i | ||||
\(527\) | 1.67832 | − | 6.26356i | 0.0731086 | − | 0.272845i | ||||
\(528\) | 2.11824 | − | 1.39235i | 0.0921848 | − | 0.0605943i | ||||
\(529\) | 19.4903 | − | 11.2527i | 0.847406 | − | 0.489250i | ||||
\(530\) | −0.0603159 | − | 0.129896i | −0.00261996 | − | 0.00564231i | ||||
\(531\) | −1.52549 | − | 2.05146i | −0.0662005 | − | 0.0890256i | ||||
\(532\) | −1.36238 | + | 2.58158i | −0.0590667 | + | 0.111926i | ||||
\(533\) | −3.48147 | + | 3.48147i | −0.150799 | + | 0.150799i | ||||
\(534\) | −23.3645 | − | 20.8043i | −1.01108 | − | 0.900289i | ||||
\(535\) | 8.88967 | − | 24.3019i | 0.384334 | − | 1.05066i | ||||
\(536\) | 11.6977 | + | 6.75367i | 0.505263 | + | 0.291714i | ||||
\(537\) | −19.3425 | + | 1.12119i | −0.834690 | + | 0.0483831i | ||||
\(538\) | −8.62492 | + | 2.31104i | −0.371847 | + | 0.0996361i | ||||
\(539\) | −9.58826 | −0.412996 | ||||||||
\(540\) | 0.984322 | + | 11.5772i | 0.0423585 | + | 0.498203i | ||||
\(541\) | 9.79492 | − | 16.9653i | 0.421116 | − | 0.729395i | −0.574933 | − | 0.818201i | \(-0.694972\pi\) |
0.996049 | + | 0.0888057i | \(0.0283050\pi\) | |||||||
\(542\) | 2.86667 | − | 0.768121i | 0.123134 | − | 0.0329936i | ||||
\(543\) | 9.18996 | − | 18.2861i | 0.394379 | − | 0.784731i | ||||
\(544\) | − | 7.37328i | − | 0.316127i | ||||||
\(545\) | −21.3542 | − | 15.0039i | −0.914713 | − | 0.642695i | ||||
\(546\) | −2.37079 | − | 2.11100i | −0.101460 | − | 0.0903424i | ||||
\(547\) | 0.779927 | + | 2.91073i | 0.0333473 | + | 0.124454i | 0.980593 | − | 0.196055i | \(-0.0628130\pi\) |
−0.947246 | + | 0.320508i | \(0.896146\pi\) | |||||||
\(548\) | −2.85478 | − | 0.764935i | −0.121950 | − | 0.0326764i | ||||
\(549\) | 0.363521 | − | 0.841453i | 0.0155147 | − | 0.0359124i | ||||
\(550\) | 6.00773 | − | 4.17778i | 0.256171 | − | 0.178141i | ||||
\(551\) | 1.03663 | + | 3.35335i | 0.0441618 | + | 0.142857i | ||||
\(552\) | −1.08829 | − | 0.546939i | −0.0463208 | − | 0.0232793i | ||||
\(553\) | 1.66288 | − | 6.20594i | 0.0707127 | − | 0.263903i | ||||
\(554\) | 7.87809 | + | 13.6453i | 0.334708 | + | 0.579731i | ||||
\(555\) | 39.4442 | + | 11.8902i | 1.67431 | + | 0.504713i | ||||
\(556\) | 5.65426 | + | 9.79347i | 0.239794 | + | 0.415336i | ||||
\(557\) | 9.97808 | − | 2.67362i | 0.422785 | − | 0.113285i | −0.0411525 | − | 0.999153i | \(-0.513103\pi\) |
0.463937 | + | 0.885868i | \(0.346436\pi\) | |||||||
\(558\) | 0.383833 | − | 2.61032i | 0.0162489 | − | 0.110503i | ||||
\(559\) | − | 0.848459i | − | 0.0358860i | ||||||
\(560\) | 0.257641 | + | 1.47509i | 0.0108873 | + | 0.0623341i | ||||
\(561\) | 18.3032 | + | 3.78459i | 0.772760 | + | 0.159785i | ||||
\(562\) | −6.08815 | + | 6.08815i | −0.256813 | + | 0.256813i | ||||
\(563\) | −12.1784 | + | 12.1784i | −0.513257 | + | 0.513257i | −0.915523 | − | 0.402266i | \(-0.868223\pi\) |
0.402266 | + | 0.915523i | \(0.368223\pi\) | |||||||
\(564\) | −10.0626 | − | 2.08066i | −0.423710 | − | 0.0876116i | ||||
\(565\) | 28.3004 | + | 10.3523i | 1.19061 | + | 0.435526i | ||||
\(566\) | 12.5822 | + | 7.26435i | 0.528871 | + | 0.305344i | ||||
\(567\) | 3.16973 | − | 5.12618i | 0.133116 | − | 0.215279i | ||||
\(568\) | 2.31595 | − | 8.64324i | 0.0971750 | − | 0.362662i | ||||
\(569\) | 15.8887 | 0.666088 | 0.333044 | − | 0.942911i | \(-0.391924\pi\) | ||||
0.333044 | + | 0.942911i | \(0.391924\pi\) | |||||||
\(570\) | 8.33796 | − | 14.6792i | 0.349239 | − | 0.614843i | ||||
\(571\) | 10.9692 | 0.459048 | 0.229524 | − | 0.973303i | \(-0.426283\pi\) | ||||
0.229524 | + | 0.973303i | \(0.426283\pi\) | |||||||
\(572\) | 1.03666 | − | 3.86887i | 0.0433450 | − | 0.161766i | ||||
\(573\) | −1.51753 | − | 26.1799i | −0.0633957 | − | 1.09368i | ||||
\(574\) | −1.04334 | − | 0.602371i | −0.0435480 | − | 0.0251425i | ||||
\(575\) | −3.18181 | − | 1.49625i | −0.132691 | − | 0.0623978i | ||||
\(576\) | −0.346627 | − | 2.97991i | −0.0144428 | − | 0.124163i | ||||
\(577\) | −16.0916 | + | 16.0916i | −0.669902 | + | 0.669902i | −0.957693 | − | 0.287792i | \(-0.907079\pi\) |
0.287792 | + | 0.957693i | \(0.407079\pi\) | |||||||
\(578\) | 26.4212 | − | 26.4212i | 1.09898 | − | 1.09898i | ||||
\(579\) | −0.405489 | + | 1.96104i | −0.0168515 | + | 0.0814980i | ||||
\(580\) | 1.47325 | + | 1.03514i | 0.0611736 | + | 0.0429817i | ||||
\(581\) | 4.65880i | 0.193280i | ||||||||
\(582\) | 10.4084 | − | 20.7105i | 0.431442 | − | 0.858478i | ||||
\(583\) | −0.0905415 | + | 0.0242605i | −0.00374984 | + | 0.00100477i | ||||
\(584\) | −0.0344008 | − | 0.0595839i | −0.00142351 | − | 0.00246560i | ||||
\(585\) | 13.3265 | + | 12.6277i | 0.550983 | + | 0.522091i | ||||
\(586\) | 10.4850 | + | 18.1605i | 0.433131 | + | 0.750205i | ||||
\(587\) | 9.17729 | − | 34.2501i | 0.378787 | − | 1.41365i | −0.468944 | − | 0.883228i | \(-0.655365\pi\) |
0.847731 | − | 0.530426i | \(-0.177968\pi\) | |||||||
\(588\) | −5.09561 | + | 10.1392i | −0.210139 | + | 0.418133i | ||||
\(589\) | −2.60571 | + | 2.81174i | −0.107366 | + | 0.115856i | ||||
\(590\) | 1.22246 | + | 1.46166i | 0.0503279 | + | 0.0601758i | ||||
\(591\) | 25.9413 | + | 23.0987i | 1.06708 | + | 0.950153i | ||||
\(592\) | −10.2747 | − | 2.75309i | −0.422286 | − | 0.113151i | ||||
\(593\) | 3.23365 | + | 12.0682i | 0.132790 | + | 0.495580i | 0.999997 | − | 0.00236789i | \(-0.000753722\pi\) |
−0.867207 | + | 0.497948i | \(0.834087\pi\) | |||||||
\(594\) | 7.57514 | + | 0.669085i | 0.310812 | + | 0.0274529i | ||||
\(595\) | −6.34742 | + | 9.03394i | −0.260219 | + | 0.370356i | ||||
\(596\) | − | 11.1461i | − | 0.456560i | ||||||
\(597\) | 22.3466 | + | 11.2306i | 0.914586 | + | 0.459640i | ||||
\(598\) | −1.85898 | + | 0.498112i | −0.0760192 | + | 0.0203693i | ||||
\(599\) | −13.8740 | + | 24.0305i | −0.566877 | + | 0.981860i | 0.429995 | + | 0.902831i | \(0.358515\pi\) |
−0.996872 | + | 0.0790288i | \(0.974818\pi\) | |||||||
\(600\) | −1.22506 | − | 8.57317i | −0.0500129 | − | 0.349998i | ||||
\(601\) | −31.0564 | −1.26682 | −0.633409 | − | 0.773817i | \(-0.718345\pi\) | ||||
−0.633409 | + | 0.773817i | \(0.718345\pi\) | |||||||
\(602\) | 0.200535 | − | 0.0537332i | 0.00817320 | − | 0.00219000i | ||||
\(603\) | 14.9401 | + | 37.6673i | 0.608408 | + | 1.53393i | ||||
\(604\) | 2.98317 | + | 1.72233i | 0.121383 | + | 0.0700807i | ||||
\(605\) | 8.34193 | + | 17.9651i | 0.339148 | + | 0.730385i | ||||
\(606\) | 11.2334 | − | 12.6159i | 0.456327 | − | 0.512484i | ||||
\(607\) | 11.8005 | − | 11.8005i | 0.478966 | − | 0.478966i | −0.425835 | − | 0.904801i | \(-0.640020\pi\) |
0.904801 | + | 0.425835i | \(0.140020\pi\) | |||||||
\(608\) | −2.03441 | + | 3.85502i | −0.0825062 | + | 0.156342i | ||||
\(609\) | −0.293535 | − | 0.886662i | −0.0118946 | − | 0.0359294i | ||||
\(610\) | −0.234708 | + | 0.641627i | −0.00950306 | + | 0.0259787i | ||||
\(611\) | −14.0609 | + | 8.11808i | −0.568844 | + | 0.328422i | ||||
\(612\) | 13.7291 | − | 17.3435i | 0.554967 | − | 0.701071i | ||||
\(613\) | 2.32255 | − | 8.66788i | 0.0938070 | − | 0.350092i | −0.903029 | − | 0.429580i | \(-0.858662\pi\) |
0.996836 | + | 0.0794874i | \(0.0253283\pi\) | |||||||
\(614\) | 16.0895 | − | 27.8679i | 0.649321 | − | 1.12466i | ||||
\(615\) | 5.92326 | + | 3.66902i | 0.238849 | + | 0.147949i | ||||
\(616\) | 0.980068 | 0.0394881 | ||||||||
\(617\) | 6.31421 | − | 1.69189i | 0.254201 | − | 0.0681128i | −0.129468 | − | 0.991584i | \(-0.541327\pi\) |
0.383669 | + | 0.923471i | \(0.374660\pi\) | |||||||
\(618\) | −11.4056 | + | 7.49707i | −0.458802 | + | 0.301576i | ||||
\(619\) | 22.9131i | 0.920957i | 0.887671 | + | 0.460478i | \(0.152322\pi\) | ||||
−0.887671 | + | 0.460478i | \(0.847678\pi\) | |||||||
\(620\) | −0.174561 | + | 1.95877i | −0.00701056 | + | 0.0786662i | ||||
\(621\) | −1.54149 | − | 3.31293i | −0.0618580 | − | 0.132943i | ||||
\(622\) | −15.4752 | − | 4.14657i | −0.620500 | − | 0.166262i | ||||
\(623\) | −3.13058 | − | 11.6835i | −0.125424 | − | 0.468089i | ||||
\(624\) | −3.54024 | − | 3.15230i | −0.141723 | − | 0.126193i | ||||
\(625\) | −4.18192 | − | 24.6477i | −0.167277 | − | 0.985910i | ||||
\(626\) | 19.1580i | 0.765709i | ||||||||
\(627\) | −8.52534 | − | 7.02887i | −0.340469 | − | 0.280706i | ||||
\(628\) | −13.7031 | − | 13.7031i | −0.546814 | − | 0.546814i | ||||
\(629\) | −39.2152 | − | 67.9226i | −1.56361 | − | 2.70825i | ||||
\(630\) | −2.14061 | + | 3.94947i | −0.0852840 | + | 0.157351i | ||||
\(631\) | −10.8171 | + | 18.7358i | −0.430622 | + | 0.745859i | −0.996927 | − | 0.0783368i | \(-0.975039\pi\) |
0.566305 | + | 0.824196i | \(0.308372\pi\) | |||||||
\(632\) | 2.48313 | − | 9.26718i | 0.0987738 | − | 0.368629i | ||||
\(633\) | 13.2124 | + | 20.1006i | 0.525146 | + | 0.798927i | ||||
\(634\) | − | 4.43015i | − | 0.175944i | ||||||
\(635\) | 4.57439 | − | 3.82578i | 0.181529 | − | 0.151822i | ||||
\(636\) | −0.0224631 | + | 0.108637i | −0.000890719 | + | 0.00430773i | ||||
\(637\) | 4.64070 | + | 17.3193i | 0.183871 | + | 0.686217i | ||||
\(638\) | 0.833301 | − | 0.833301i | 0.0329907 | − | 0.0329907i | ||||
\(639\) | 21.5414 | − | 16.0184i | 0.852165 | − | 0.633679i | ||||
\(640\) | 0.384729 | + | 2.20272i | 0.0152077 | + | 0.0870702i | ||||
\(641\) | −37.9203 | + | 21.8933i | −1.49776 | + | 0.864734i | −0.999997 | − | 0.00257788i | \(-0.999179\pi\) |
−0.497766 | + | 0.867311i | \(0.665846\pi\) | |||||||
\(642\) | −16.7496 | + | 11.0098i | −0.661055 | + | 0.434520i | ||||
\(643\) | −5.00971 | + | 18.6965i | −0.197564 | + | 0.737318i | 0.794025 | + | 0.607886i | \(0.207982\pi\) |
−0.991588 | + | 0.129432i | \(0.958685\pi\) | |||||||
\(644\) | −0.235459 | − | 0.407828i | −0.00927840 | − | 0.0160707i | ||||
\(645\) | −1.16885 | + | 0.274686i | −0.0460235 | + | 0.0108158i | ||||
\(646\) | −30.7057 | + | 9.49210i | −1.20810 | + | 0.373462i | ||||
\(647\) | −5.33088 | − | 5.33088i | −0.209579 | − | 0.209579i | 0.594510 | − | 0.804088i | \(-0.297346\pi\) |
−0.804088 | + | 0.594510i | \(0.797346\pi\) | |||||||
\(648\) | 4.73328 | − | 7.65481i | 0.185941 | − | 0.300709i | ||||
\(649\) | 1.08006 | − | 0.623573i | 0.0423960 | − | 0.0244774i | ||||
\(650\) | −10.4541 | − | 8.82977i | −0.410043 | − | 0.346332i | ||||
\(651\) | 0.678361 | − | 0.761843i | 0.0265871 | − | 0.0298590i | ||||
\(652\) | −6.12145 | − | 22.8456i | −0.239735 | − | 0.894702i | ||||
\(653\) | 27.8185 | − | 27.8185i | 1.08862 | − | 1.08862i | 0.0929511 | − | 0.995671i | \(-0.470370\pi\) |
0.995671 | − | 0.0929511i | \(-0.0296300\pi\) | |||||||
\(654\) | 6.35339 | + | 19.1913i | 0.248437 | + | 0.750438i | ||||
\(655\) | −19.0211 | − | 13.3646i | −0.743216 | − | 0.522198i | ||||
\(656\) | −1.55799 | − | 0.899506i | −0.0608293 | − | 0.0351198i | ||||
\(657\) | 0.0300278 | − | 0.204209i | 0.00117150 | − | 0.00796694i | ||||
\(658\) | −2.80921 | − | 2.80921i | −0.109514 | − | 0.109514i | ||||
\(659\) | −13.1928 | + | 22.8507i | −0.513920 | + | 0.890135i | 0.485950 | + | 0.873987i | \(0.338474\pi\) |
−0.999870 | + | 0.0161485i | \(0.994860\pi\) | |||||||
\(660\) | −5.66544 | − | 0.175585i | −0.220527 | − | 0.00683464i | ||||
\(661\) | −4.05832 | + | 7.02922i | −0.157850 | + | 0.273405i | −0.934093 | − | 0.357029i | \(-0.883790\pi\) |
0.776243 | + | 0.630434i | \(0.217123\pi\) | |||||||
\(662\) | −6.02410 | + | 22.4823i | −0.234133 | + | 0.873798i | ||||
\(663\) | −2.02258 | − | 34.8929i | −0.0785504 | − | 1.35513i | ||||
\(664\) | 6.95688i | 0.269979i | ||||||||
\(665\) | 5.81128 | − | 2.97192i | 0.225352 | − | 0.115246i | ||||
\(666\) | −19.0419 | − | 25.6074i | −0.737860 | − | 0.992265i | ||||
\(667\) | −0.546954 | − | 0.146556i | −0.0211781 | − | 0.00567467i | ||||
\(668\) | −17.2490 | − | 4.62185i | −0.667383 | − | 0.178825i | ||||
\(669\) | −8.54508 | + | 41.3260i | −0.330372 | + | 1.59776i | ||||
\(670\) | −12.7202 | − | 27.3941i | −0.491424 | − | 1.05833i | ||||
\(671\) | 0.387253 | + | 0.223581i | 0.0149497 | + | 0.00863123i | ||||
\(672\) | 0.520849 | − | 1.03638i | 0.0200922 | − | 0.0399792i | ||||
\(673\) | −25.4679 | − | 25.4679i | −0.981716 | − | 0.981716i | 0.0181197 | − | 0.999836i | \(-0.494232\pi\) |
−0.999836 | + | 0.0181197i | \(0.994232\pi\) | |||||||
\(674\) | −11.8876 | + | 20.5899i | −0.457892 | + | 0.793092i | ||||
\(675\) | 13.0817 | − | 22.4470i | 0.503516 | − | 0.863986i | ||||
\(676\) | 5.50989 | 0.211919 | ||||||||
\(677\) | −27.0838 | − | 27.0838i | −1.04092 | − | 1.04092i | −0.999126 | − | 0.0417889i | \(-0.986694\pi\) |
−0.0417889 | − | 0.999126i | \(-0.513306\pi\) | |||||||
\(678\) | −12.8212 | − | 19.5055i | −0.492397 | − | 0.749105i | ||||
\(679\) | 7.76107 | − | 4.48086i | 0.297843 | − | 0.171960i | ||||
\(680\) | −9.47846 | + | 13.4902i | −0.363482 | + | 0.517325i | ||||
\(681\) | 4.44550 | + | 3.95837i | 0.170352 | + | 0.151685i | ||||
\(682\) | 1.24325 | + | 0.333127i | 0.0476063 | + | 0.0127561i | ||||
\(683\) | −0.258878 | + | 0.258878i | −0.00990570 | + | 0.00990570i | −0.712042 | − | 0.702137i | \(-0.752230\pi\) |
0.702137 | + | 0.712042i | \(0.252230\pi\) | |||||||
\(684\) | −11.9635 | + | 5.27975i | −0.457434 | + | 0.201876i | ||||
\(685\) | 4.23978 | + | 5.06939i | 0.161994 | + | 0.193691i | ||||
\(686\) | −7.85922 | + | 4.53752i | −0.300066 | + | 0.173243i | ||||
\(687\) | 0.319198 | + | 5.50671i | 0.0121782 | + | 0.210094i | ||||
\(688\) | 0.299454 | − | 0.0802385i | 0.0114166 | − | 0.00305906i | ||||
\(689\) | 0.0876439 | + | 0.151804i | 0.00333897 | + | 0.00578326i | ||||
\(690\) | 1.28805 | + | 2.39970i | 0.0490351 | + | 0.0913549i | ||||
\(691\) | −46.4176 | −1.76581 | −0.882905 | − | 0.469552i | \(-0.844416\pi\) | ||||
−0.882905 | + | 0.469552i | \(0.844416\pi\) | |||||||
\(692\) | 7.51243 | + | 7.51243i | 0.285580 | + | 0.285580i | ||||
\(693\) | 2.30533 | + | 1.82490i | 0.0875723 | + | 0.0693221i | ||||
\(694\) | 1.20384 | + | 0.695039i | 0.0456972 | + | 0.0263833i | ||||
\(695\) | 2.24459 | − | 25.1868i | 0.0851423 | − | 0.955390i | ||||
\(696\) | −0.438329 | − | 1.32403i | −0.0166148 | − | 0.0501873i | ||||
\(697\) | −3.43313 | − | 12.8126i | −0.130039 | − | 0.485313i | ||||
\(698\) | −11.6871 | − | 3.13156i | −0.442364 | − | 0.118531i | ||||
\(699\) | 39.6409 | + | 8.19664i | 1.49936 | + | 0.310025i | ||||
\(700\) | 1.42487 | − | 3.03004i | 0.0538552 | − | 0.114525i | ||||
\(701\) | 41.6532 | − | 24.0485i | 1.57322 | − | 0.908299i | 0.577448 | − | 0.816427i | \(-0.304049\pi\) |
0.995771 | − | 0.0918713i | \(-0.0292848\pi\) | |||||||
\(702\) | −2.45778 | − | 14.0069i | −0.0927630 | − | 0.528655i | ||||
\(703\) | 1.76214 | + | 46.3326i | 0.0664603 | + | 1.74747i | ||||
\(704\) | 1.46351 | 0.0551582 | ||||||||
\(705\) | 15.7358 | + | 16.7424i | 0.592644 | + | 0.630554i | ||||
\(706\) | 16.1216 | + | 27.9234i | 0.606744 | + | 1.05091i | ||||
\(707\) | 6.30858 | − | 1.69038i | 0.237259 | − | 0.0635733i | ||||
\(708\) | −0.0854125 | − | 1.47351i | −0.00321000 | − | 0.0553779i | ||||
\(709\) | −0.236516 | − | 0.136553i | −0.00888255 | − | 0.00512834i | 0.495552 | − | 0.868578i | \(-0.334966\pi\) |
−0.504435 | + | 0.863450i | \(0.668299\pi\) | |||||||
\(710\) | −15.3483 | + | 12.8365i | −0.576011 | + | 0.481746i | ||||
\(711\) | 23.0965 | − | 17.1748i | 0.866185 | − | 0.644105i | ||||
\(712\) | −4.67482 | − | 17.4467i | −0.175196 | − | 0.653841i | ||||
\(713\) | −0.160066 | − | 0.597375i | −0.00599453 | − | 0.0223719i | ||||
\(714\) | 8.11892 | − | 2.68782i | 0.303843 | − | 0.100589i | ||||
\(715\) | −6.87017 | + | 5.74586i | −0.256930 | + | 0.214883i | ||||
\(716\) | −9.68748 | − | 5.59307i | −0.362038 | − | 0.209023i | ||||
\(717\) | −48.1848 | + | 2.79304i | −1.79949 | + | 0.104308i | ||||
\(718\) | −7.77628 | + | 2.08365i | −0.290208 | + | 0.0777611i | ||||
\(719\) | 3.44969 | + | 5.97504i | 0.128652 | + | 0.222831i | 0.923154 | − | 0.384429i | \(-0.125602\pi\) |
−0.794503 | + | 0.607261i | \(0.792268\pi\) | |||||||
\(720\) | −3.19653 | + | 5.89765i | −0.119127 | + | 0.219792i | ||||
\(721\) | −5.27715 | −0.196531 | ||||||||
\(722\) | 18.6731 | + | 3.50939i | 0.694940 | + | 0.130606i | ||||
\(723\) | −10.8887 | + | 21.6662i | −0.404955 | + | 0.805776i | ||||
\(724\) | 10.2327 | − | 5.90788i | 0.380297 | − | 0.219565i | ||||
\(725\) | −1.36479 | − | 3.78778i | −0.0506869 | − | 0.140675i | ||||
\(726\) | 3.10673 | − | 15.0249i | 0.115302 | − | 0.557626i | ||||
\(727\) | 35.8741 | + | 9.61244i | 1.33050 | + | 0.356506i | 0.852901 | − | 0.522073i | \(-0.174841\pi\) |
0.477597 | + | 0.878579i | \(0.341508\pi\) | |||||||
\(728\) | −0.474351 | − | 1.77030i | −0.0175806 | − | 0.0656118i | ||||
\(729\) | 25.3870 | − | 9.19235i | 0.940260 | − | 0.340457i | ||||
\(730\) | −0.0136562 | + | 0.153238i | −0.000505439 | + | 0.00567158i | ||||
\(731\) | 1.97960 | + | 1.14292i | 0.0732182 | + | 0.0422725i | ||||
\(732\) | 0.442229 | − | 0.290683i | 0.0163453 | − | 0.0107440i | ||||
\(733\) | −4.80731 | − | 4.80731i | −0.177562 | − | 0.177562i | 0.612730 | − | 0.790292i | \(-0.290071\pi\) |
−0.790292 | + | 0.612730i | \(0.790071\pi\) | |||||||
\(734\) | 1.11285 | 0.0410762 | ||||||||
\(735\) | 22.3570 | − | 12.0002i | 0.824651 | − | 0.442634i | ||||
\(736\) | −0.351606 | − | 0.609000i | −0.0129604 | − | 0.0224480i | ||||
\(737\) | −19.0946 | + | 5.11637i | −0.703357 | + | 0.188464i | ||||
\(738\) | −1.98984 | − | 5.01683i | −0.0732470 | − | 0.184672i | ||||
\(739\) | −35.7413 | + | 20.6352i | −1.31476 | + | 0.759079i | −0.982881 | − | 0.184241i | \(-0.941017\pi\) |
−0.331883 | + | 0.943321i | \(0.607684\pi\) | |||||||
\(740\) | 15.2594 | + | 18.2453i | 0.560947 | + | 0.670710i | ||||
\(741\) | −8.57005 | + | 18.8013i | −0.314829 | + | 0.690684i | ||||
\(742\) | −0.0303286 | + | 0.0303286i | −0.00111340 | + | 0.00111340i | ||||
\(743\) | −18.7202 | − | 5.01607i | −0.686779 | − | 0.184022i | −0.101478 | − | 0.994838i | \(-0.532357\pi\) |
−0.585301 | + | 0.810816i | \(0.699024\pi\) | |||||||
\(744\) | 1.01298 | − | 1.13764i | 0.0371377 | − | 0.0417080i | ||||
\(745\) | −14.3284 | + | 20.3929i | −0.524953 | + | 0.747137i | ||||
\(746\) | −12.2357 | + | 7.06428i | −0.447980 | + | 0.258642i | ||||
\(747\) | −12.9538 | + | 16.3641i | −0.473954 | + | 0.598731i | ||||
\(748\) | 7.63030 | + | 7.63030i | 0.278992 | + | 0.278992i | ||||
\(749\) | −7.74970 | −0.283168 | ||||||||
\(750\) | −8.77956 | + | 17.2603i | −0.320584 | + | 0.630258i | ||||
\(751\) | 16.0564 | − | 27.8105i | 0.585907 | − | 1.01482i | −0.408855 | − | 0.912599i | \(-0.634072\pi\) |
0.994762 | − | 0.102221i | \(-0.0325948\pi\) | |||||||
\(752\) | −4.19492 | − | 4.19492i | −0.152973 | − | 0.152973i | ||||
\(753\) | 33.5698 | + | 16.8710i | 1.22335 | + | 0.614815i | ||||
\(754\) | −1.90851 | − | 1.10188i | −0.0695040 | − | 0.0401281i | ||||
\(755\) | −3.24393 | − | 6.98609i | −0.118059 | − | 0.254250i | ||||
\(756\) | 3.15490 | − | 1.46796i | 0.114743 | − | 0.0533893i | ||||
\(757\) | 2.71145 | + | 0.726532i | 0.0985494 | + | 0.0264062i | 0.307757 | − | 0.951465i | \(-0.400422\pi\) |
−0.209207 | + | 0.977871i | \(0.567088\pi\) | |||||||
\(758\) | −19.3505 | − | 5.18496i | −0.702843 | − | 0.188326i | ||||
\(759\) | 1.69223 | − | 0.560225i | 0.0614242 | − | 0.0203349i | ||||
\(760\) | 8.67785 | − | 4.43790i | 0.314779 | − | 0.160979i | ||||
\(761\) | 30.9691i | 1.12263i | 0.827602 | + | 0.561315i | \(0.189704\pi\) | ||||
−0.827602 | + | 0.561315i | \(0.810296\pi\) | |||||||
\(762\) | −4.61146 | + | 0.267305i | −0.167055 | + | 0.00968343i | ||||
\(763\) | −2.02294 | + | 7.54970i | −0.0732352 | + | 0.273317i | ||||
\(764\) | 7.57019 | − | 13.1119i | 0.273880 | − | 0.474374i | ||||
\(765\) | −47.4142 | + | 14.0828i | −1.71426 | + | 0.509165i | ||||
\(766\) | 6.40451 | − | 11.0929i | 0.231404 | − | 0.400804i | ||||
\(767\) | −1.64911 | − | 1.64911i | −0.0595459 | − | 0.0595459i | ||||
\(768\) | 0.777772 | − | 1.54760i | 0.0280654 | − | 0.0558443i | ||||
\(769\) | 30.7455 | + | 17.7509i | 1.10871 | + | 0.640114i | 0.938495 | − | 0.345293i | \(-0.112221\pi\) |
0.170215 | + | 0.985407i | \(0.445554\pi\) | |||||||
\(770\) | −1.79314 | − | 1.25989i | −0.0646201 | − | 0.0454034i | ||||
\(771\) | 14.5176 | − | 4.80615i | 0.522839 | − | 0.173089i | ||||
\(772\) | −0.817526 | + | 0.817526i | −0.0294234 | + | 0.0294234i | ||||
\(773\) | −12.4349 | − | 46.4075i | −0.447251 | − | 1.66916i | −0.709924 | − | 0.704278i | \(-0.751271\pi\) |
0.262673 | − | 0.964885i | \(-0.415396\pi\) | |||||||
\(774\) | 0.853786 | + | 0.368849i | 0.0306887 | + | 0.0132580i | ||||
\(775\) | 2.83741 | − | 3.35938i | 0.101923 | − | 0.120672i | ||||
\(776\) | 11.5894 | − | 6.69116i | 0.416036 | − | 0.240199i | ||||
\(777\) | −0.713976 | − | 12.3173i | −0.0256138 | − | 0.441881i | ||||
\(778\) | 19.6398 | + | 19.6398i | 0.704121 | + | 0.704121i | ||||
\(779\) | −1.74025 | + | 7.64617i | −0.0623509 | + | 0.273953i | ||||
\(780\) | 2.42490 | + | 10.3185i | 0.0868254 | + | 0.369462i | ||||
\(781\) | 6.54785 | + | 11.3412i | 0.234301 | + | 0.405821i | ||||
\(782\) | 1.34197 | − | 5.00830i | 0.0479888 | − | 0.179097i | ||||
\(783\) | 1.43432 | − | 3.93058i | 0.0512583 | − | 0.140467i | ||||
\(784\) | −5.67380 | + | 3.27577i | −0.202636 | + | 0.116992i | ||||
\(785\) | 7.45572 | + | 42.6869i | 0.266106 | + | 1.52356i | ||||
\(786\) | 5.65924 | + | 17.0945i | 0.201858 | + | 0.609740i | ||||
\(787\) | −36.2834 | + | 36.2834i | −1.29336 | + | 1.29336i | −0.360671 | + | 0.932693i | \(0.617452\pi\) |
−0.932693 | + | 0.360671i | \(0.882548\pi\) | |||||||
\(788\) | 5.19038 | + | 19.3708i | 0.184900 | + | 0.690055i | ||||
\(789\) | −32.8968 | − | 6.80215i | −1.17116 | − | 0.242163i | ||||
\(790\) | −16.4563 | + | 13.7632i | −0.585487 | + | 0.489672i | ||||
\(791\) | − | 9.02480i | − | 0.320885i | ||||||
\(792\) | 3.44250 | + | 2.72507i | 0.122324 | + | 0.0968313i | ||||
\(793\) | 0.216425 | − | 0.807710i | 0.00768549 | − | 0.0286826i | ||||
\(794\) | 11.1031 | − | 19.2311i | 0.394033 | − | 0.682485i | ||||
\(795\) | 0.180753 | − | 0.169886i | 0.00641064 | − | 0.00602523i | ||||
\(796\) | 7.21975 | + | 12.5050i | 0.255897 | + | 0.443227i | ||||
\(797\) | 17.2549 | + | 17.2549i | 0.611199 | + | 0.611199i | 0.943259 | − | 0.332059i | \(-0.107743\pi\) |
−0.332059 | + | 0.943259i | \(0.607743\pi\) | |||||||
\(798\) | −4.98648 | − | 0.834853i | −0.176520 | − | 0.0295535i | ||||
\(799\) | − | 43.7421i | − | 1.54748i | ||||||
\(800\) | 2.12773 | − | 4.52468i | 0.0752266 | − | 0.159972i | ||||
\(801\) | 21.4897 | − | 49.7429i | 0.759301 | − | 1.75758i | ||||
\(802\) | −3.36543 | − | 12.5600i | −0.118837 | − | 0.443507i | ||||
\(803\) | 0.0972609 | + | 0.0260610i | 0.00343226 | + | 0.000919672i | ||||
\(804\) | −4.73731 | + | 22.9107i | −0.167072 | + | 0.808000i | ||||
\(805\) | −0.0934712 | + | 1.04885i | −0.00329443 | + | 0.0369671i | ||||
\(806\) | − | 2.40692i | − | 0.0847800i | ||||||
\(807\) | −8.49501 | − | 12.9238i | −0.299039 | − | 0.454941i | ||||
\(808\) | 9.42046 | − | 2.52420i | 0.331411 | − | 0.0888012i | ||||
\(809\) | 11.6702 | 0.410302 | 0.205151 | − | 0.978730i | \(-0.434231\pi\) | ||||
0.205151 | + | 0.978730i | \(0.434231\pi\) | |||||||
\(810\) | −18.5004 | + | 7.92057i | −0.650038 | + | 0.278300i | ||||
\(811\) | −4.78234 | + | 8.28325i | −0.167931 | + | 0.290864i | −0.937692 | − | 0.347467i | \(-0.887042\pi\) |
0.769762 | + | 0.638332i | \(0.220375\pi\) | |||||||
\(812\) | 0.139565 | − | 0.520864i | 0.00489777 | − | 0.0182787i | ||||
\(813\) | 2.82349 | + | 4.29550i | 0.0990240 | + | 0.150650i | ||||
\(814\) | 13.4819 | − | 7.78377i | 0.472540 | − | 0.272821i | ||||
\(815\) | −18.1685 | + | 49.6676i | −0.636415 | + | 1.73978i | ||||
\(816\) | 12.1238 | − | 4.01366i | 0.424417 | − | 0.140506i | ||||
\(817\) | −0.719657 | − | 1.14377i | −0.0251776 | − | 0.0400154i | ||||
\(818\) | −17.5247 | + | 17.5247i | −0.612738 | + | 0.612738i | ||||
\(819\) | 2.18055 | − | 5.04738i | 0.0761944 | − | 0.176370i | ||||
\(820\) | 1.69418 | + | 3.64856i | 0.0591632 | + | 0.127413i | ||||
\(821\) | 9.20850 | + | 5.31653i | 0.321379 | + | 0.185548i | 0.652007 | − | 0.758213i | \(-0.273927\pi\) |
−0.330628 | + | 0.943761i | \(0.607261\pi\) | |||||||
\(822\) | −0.296230 | − | 5.11047i | −0.0103322 | − | 0.178248i | ||||
\(823\) | −42.9134 | + | 11.4986i | −1.49587 | + | 0.400816i | −0.911713 | − | 0.410827i | \(-0.865240\pi\) |
−0.584153 | + | 0.811643i | \(0.698573\pi\) | |||||||
\(824\) | −7.88024 | −0.274521 | ||||||||
\(825\) | 10.1398 | + | 7.60426i | 0.353022 | + | 0.264746i | ||||
\(826\) | 0.285332 | − | 0.494210i | 0.00992797 | − | 0.0171958i | ||||
\(827\) | −26.6431 | + | 7.13901i | −0.926473 | + | 0.248248i | −0.690350 | − | 0.723475i | \(-0.742543\pi\) |
−0.236123 | + | 0.971723i | \(0.575877\pi\) | |||||||
\(828\) | 0.306910 | − | 2.08719i | 0.0106659 | − | 0.0725350i | ||||
\(829\) | 45.2325i | 1.57099i | 0.618868 | + | 0.785495i | \(0.287592\pi\) | ||||
−0.618868 | + | 0.785495i | \(0.712408\pi\) | |||||||
\(830\) | 8.94318 | − | 12.7283i | 0.310422 | − | 0.441807i | ||||
\(831\) | −18.1483 | + | 20.3817i | −0.629556 | + | 0.707032i | ||||
\(832\) | −0.708337 | − | 2.64355i | −0.0245572 | − | 0.0916487i | ||||
\(833\) | −46.6603 | − | 12.5026i | −1.61669 | − | 0.433189i | ||||
\(834\) | −13.0254 | + | 14.6283i | −0.451032 | + | 0.506538i | ||||
\(835\) | 25.6173 | + | 30.6300i | 0.886525 | + | 1.05999i | ||||
\(836\) | −1.88408 | − | 6.09473i | −0.0651621 | − | 0.210791i | ||||
\(837\) | 4.50105 | − | 0.789799i | 0.155579 | − | 0.0272994i | ||||
\(838\) | 2.86751 | − | 10.7017i | 0.0990564 | − | 0.369684i | ||||
\(839\) | −1.02582 | − | 1.77677i | −0.0354153 | − | 0.0613411i | 0.847774 | − | 0.530357i | \(-0.177942\pi\) |
−0.883190 | + | 0.469016i | \(0.844609\pi\) | |||||||
\(840\) | −2.28523 | + | 1.22661i | −0.0788479 | + | 0.0423219i | ||||
\(841\) | 14.1758 | + | 24.5532i | 0.488821 | + | 0.846662i | ||||
\(842\) | 1.92430 | − | 0.515616i | 0.0663159 | − | 0.0177693i | ||||
\(843\) | −13.3248 | − | 6.69658i | −0.458930 | − | 0.230642i | ||||
\(844\) | 13.8877i | 0.478033i | ||||||||
\(845\) | −10.0809 | − | 7.08305i | −0.346794 | − | 0.243664i | ||||
\(846\) | −2.05637 | − | 17.6784i | −0.0706995 | − | 0.607794i | ||||
\(847\) | 4.19457 | − | 4.19457i | 0.144127 | − | 0.144127i | ||||
\(848\) | −0.0452890 | + | 0.0452890i | −0.00155523 | + | 0.00155523i | ||||
\(849\) | −5.09553 | + | 24.6432i | −0.174878 | + | 0.845751i | ||||
\(850\) | 34.6837 | − | 12.4970i | 1.18964 | − | 0.428643i | ||||
\(851\) | −6.47799 | − | 3.74007i | −0.222063 | − | 0.128208i | ||||
\(852\) | 15.4727 | − | 0.896877i | 0.530084 | − | 0.0307265i | ||||
\(853\) | 11.1515 | − | 41.6180i | 0.381820 | − | 1.42497i | −0.461298 | − | 0.887245i | \(-0.652616\pi\) |
0.843118 | − | 0.537728i | \(-0.180717\pi\) | |||||||
\(854\) | 0.204610 | 0.00700162 | ||||||||
\(855\) | 28.6756 | + | 5.71936i | 0.980684 | + | 0.195598i | ||||
\(856\) | −11.5724 | −0.395538 | ||||||||
\(857\) | −14.4245 | + | 53.8329i | −0.492731 | + | 1.83890i | 0.0496516 | + | 0.998767i | \(0.484189\pi\) |
−0.542383 | + | 0.840131i | \(0.682478\pi\) | |||||||
\(858\) | 6.92584 | − | 0.401459i | 0.236444 | − | 0.0137056i | ||||
\(859\) | −28.3297 | − | 16.3562i | −0.966597 | − | 0.558065i | −0.0683999 | − | 0.997658i | \(-0.521789\pi\) |
−0.898197 | + | 0.439593i | \(0.855123\pi\) | |||||||
\(860\) | −0.651030 | − | 0.238148i | −0.0222000 | − | 0.00812079i | ||||
\(861\) | 0.422528 | − | 2.04345i | 0.0143997 | − | 0.0696405i | ||||
\(862\) | 19.3854 | − | 19.3854i | 0.660269 | − | 0.660269i | ||||
\(863\) | −28.1212 | + | 28.1212i | −0.957258 | + | 0.957258i | −0.999123 | − | 0.0418657i | \(-0.986670\pi\) |
0.0418657 | + | 0.999123i | \(0.486670\pi\) | |||||||
\(864\) | 4.71114 | − | 2.19207i | 0.160276 | − | 0.0745758i | ||||
\(865\) | −4.08743 | − | 23.4021i | −0.138977 | − | 0.795695i | ||||
\(866\) | − | 13.9824i | − | 0.475142i | ||||||
\(867\) | 57.8264 | + | 29.0616i | 1.96389 | + | 0.986984i | ||||
\(868\) | 0.568880 | − | 0.152431i | 0.0193090 | − | 0.00517384i | ||||
\(869\) | 7.02054 | + | 12.1599i | 0.238155 | + | 0.412497i | ||||
\(870\) | −0.900094 | + | 2.98593i | −0.0305160 | + | 0.101233i | ||||
\(871\) | 18.4835 | + | 32.0143i | 0.626289 | + | 1.08476i | ||||
\(872\) | −3.02080 | + | 11.2738i | −0.102297 | + | 0.381779i | ||||
\(873\) | 39.7198 | + | 5.84059i | 1.34431 | + | 0.197674i | ||||
\(874\) | −2.08351 | + | 2.24825i | −0.0704756 | + | 0.0760483i | ||||
\(875\) | −6.50211 | + | 3.71207i | −0.219812 | + | 0.125491i | ||||
\(876\) | 0.0792469 | − | 0.0889994i | 0.00267751 | − | 0.00300701i | ||||
\(877\) | −21.1732 | − | 5.67334i | −0.714968 | − | 0.191575i | −0.117043 | − | 0.993127i | \(-0.537341\pi\) |
−0.597925 | + | 0.801552i | \(0.704008\pi\) | |||||||
\(878\) | 2.38659 | + | 8.90686i | 0.0805434 | + | 0.300592i | ||||
\(879\) | −24.1536 | + | 27.1261i | −0.814681 | + | 0.914939i | ||||
\(880\) | −2.67765 | − | 1.88137i | −0.0902635 | − | 0.0634209i | ||||
\(881\) | − | 2.43849i | − | 0.0821549i | −0.999156 | − | 0.0410774i | \(-0.986921\pi\) | ||
0.999156 | − | 0.0410774i | \(-0.0130790\pi\) | |||||||
\(882\) | −19.4455 | − | 2.85936i | −0.654765 | − | 0.0962797i | ||||
\(883\) | −13.3003 | + | 3.56380i | −0.447590 | + | 0.119932i | −0.475572 | − | 0.879677i | \(-0.657759\pi\) |
0.0279813 | + | 0.999608i | \(0.491092\pi\) | |||||||
\(884\) | 10.0896 | − | 17.4757i | 0.339350 | − | 0.587772i | ||||
\(885\) | −1.73795 | + | 2.80574i | −0.0584205 | + | 0.0943139i | ||||
\(886\) | −27.1288 | −0.911411 | ||||||||
\(887\) | 43.4060 | − | 11.6306i | 1.45743 | − | 0.390518i | 0.558830 | − | 0.829282i | \(-0.311250\pi\) |
0.898602 | + | 0.438764i | \(0.144584\pi\) | |||||||
\(888\) | −1.06616 | − | 18.3931i | −0.0357781 | − | 0.617233i | ||||
\(889\) | −1.54667 | − | 0.892968i | −0.0518735 | − | 0.0299492i | ||||
\(890\) | −13.8749 | + | 37.9300i | −0.465087 | + | 1.27142i | ||||
\(891\) | 3.02337 | + | 12.8199i | 0.101287 | + | 0.429484i | ||||
\(892\) | −17.2282 | + | 17.2282i | −0.576842 | + | 0.576842i | ||||
\(893\) | −12.0692 | + | 22.8700i | −0.403879 | + | 0.765315i | ||||
\(894\) | 18.3273 | − | 6.06738i | 0.612957 | − | 0.202923i | ||||
\(895\) | 10.5343 | + | 22.6865i | 0.352122 | + | 0.758326i | ||||
\(896\) | 0.579950 | − | 0.334834i | 0.0193748 | − | 0.0111860i | ||||
\(897\) | −1.83098 | − | 2.78555i | −0.0611345 | − | 0.0930067i | ||||
\(898\) | −7.22285 | + | 26.9560i | −0.241030 | + | 0.899535i | ||||
\(899\) | 0.354085 | − | 0.613293i | 0.0118094 | − | 0.0204545i | ||||
\(900\) | 13.4299 | − | 6.68117i | 0.447663 | − | 0.222706i | ||||
\(901\) | −0.472246 | −0.0157328 | ||||||||
\(902\) | 2.54316 | − | 0.681438i | 0.0846781 | − | 0.0226894i | ||||
\(903\) | 0.197514 | + | 0.300487i | 0.00657287 | + | 0.00999960i | ||||
\(904\) | − | 13.4765i | − | 0.448222i | ||||||
\(905\) | −26.3165 | − | 2.34527i | −0.874791 | − | 0.0779594i | ||||
\(906\) | −1.20812 | + | 5.84274i | −0.0401370 | + | 0.194112i | ||||
\(907\) | 52.6354 | + | 14.1036i | 1.74773 | + | 0.468303i | 0.984139 | − | 0.177398i | \(-0.0567680\pi\) |
0.763591 | + | 0.645701i | \(0.223435\pi\) | |||||||
\(908\) | 0.889464 | + | 3.31953i | 0.0295179 | + | 0.110162i | ||||
\(909\) | 26.8590 | + | 11.6035i | 0.890858 | + | 0.384864i | ||||
\(910\) | −1.40788 | + | 3.84874i | −0.0466706 | + | 0.127584i | ||||
\(911\) | − | 15.9877i | − | 0.529696i | −0.964290 | − | 0.264848i | \(-0.914678\pi\) | ||
0.964290 | − | 0.264848i | \(-0.0853217\pi\) | |||||||
\(912\) | −7.44620 | − | 1.24667i | −0.246568 | − | 0.0412813i | ||||
\(913\) | −7.19939 | − | 7.19939i | −0.238265 | − | 0.238265i | ||||
\(914\) | 8.94260 | + | 15.4890i | 0.295795 | + | 0.512332i | ||||
\(915\) | −1.18278 | − | 0.0366572i | −0.0391016 | − | 0.00121185i | ||||
\(916\) | −1.59232 | + | 2.75798i | −0.0526117 | + | 0.0911261i | ||||
\(917\) | −1.80192 | + | 6.72484i | −0.0595045 | + | 0.222074i | ||||
\(918\) | 35.9912 | + | 13.1336i | 1.18789 | + | 0.433474i | ||||
\(919\) | − | 12.1679i | − | 0.401381i | −0.979655 | − | 0.200691i | \(-0.935681\pi\) | ||
0.979655 | − | 0.200691i | \(-0.0643186\pi\) | |||||||
\(920\) | −0.139578 | + | 1.56622i | −0.00460176 | + | 0.0516368i | ||||
\(921\) | 54.5812 | + | 11.2859i | 1.79851 | + | 0.371882i | ||||
\(922\) | 5.30942 | + | 19.8150i | 0.174857 | + | 0.652573i | ||||
\(923\) | 17.3166 | − | 17.3166i | 0.569981 | − | 0.569981i | ||||
\(924\) | 0.533502 | + | 1.61151i | 0.0175509 | + | 0.0530149i | ||||
\(925\) | −4.46411 | − | 52.9979i | −0.146779 | − | 1.74256i | ||||
\(926\) | 7.14175 | − | 4.12329i | 0.234692 | − | 0.135500i | ||||
\(927\) | −18.5360 | − | 14.6731i | −0.608803 | − | 0.481927i | ||||
\(928\) | 0.208409 | − | 0.777794i | 0.00684137 | − | 0.0255323i | ||||
\(929\) | 3.05569 | + | 5.29261i | 0.100254 | + | 0.173645i | 0.911789 | − | 0.410658i | \(-0.134701\pi\) |
−0.811535 | + | 0.584303i | \(0.801368\pi\) | |||||||
\(930\) | −3.31581 | + | 0.779233i | −0.108730 | + | 0.0255520i | ||||
\(931\) | 20.9461 | + | 19.4112i | 0.686480 | + | 0.636176i | ||||
\(932\) | 16.5257 | + | 16.5257i | 0.541316 | + | 0.541316i | ||||
\(933\) | −1.60581 | − | 27.7029i | −0.0525718 | − | 0.906952i | ||||
\(934\) | −17.0513 | + | 9.84460i | −0.557937 | + | 0.322125i | ||||
\(935\) | −4.15156 | − | 23.7693i | −0.135771 | − | 0.777339i | ||||
\(936\) | 3.25616 | − | 7.53713i | 0.106431 | − | 0.246359i | ||||
\(937\) | −13.7184 | − | 51.1978i | −0.448161 | − | 1.67256i | −0.707453 | − | 0.706761i | \(-0.750156\pi\) |
0.259292 | − | 0.965799i | \(-0.416511\pi\) | |||||||
\(938\) | −6.39609 | + | 6.39609i | −0.208840 | + | 0.208840i | ||||
\(939\) | −31.5013 | + | 10.4287i | −1.02801 | + | 0.340328i | ||||
\(940\) | 2.28241 | + | 13.0677i | 0.0744441 | + | 0.426221i | ||||
\(941\) | 12.1148 | + | 6.99446i | 0.394930 | + | 0.228013i | 0.684294 | − | 0.729206i | \(-0.260111\pi\) |
−0.289364 | + | 0.957219i | \(0.593444\pi\) | |||||||
\(942\) | 15.0726 | − | 29.9912i | 0.491090 | − | 0.977166i | ||||
\(943\) | −0.894552 | − | 0.894552i | −0.0291306 | − | 0.0291306i | ||||
\(944\) | 0.426080 | − | 0.737992i | 0.0138677 | − | 0.0240196i | ||||
\(945\) | −7.65930 | − | 1.36988i | −0.249157 | − | 0.0445623i | ||||
\(946\) | −0.226857 | + | 0.392929i | −0.00737577 | + | 0.0127752i | ||||
\(947\) | −5.29999 | + | 19.7798i | −0.172227 | + | 0.642758i | 0.824781 | + | 0.565452i | \(0.191298\pi\) |
−0.997007 | + | 0.0773057i | \(0.975368\pi\) | |||||||
\(948\) | 16.5896 | − | 0.961622i | 0.538806 | − | 0.0312320i | ||||
\(949\) | − | 0.188297i | − | 0.00611236i | ||||||
\(950\) | −21.5820 | − | 3.03592i | −0.700213 | − | 0.0984981i | ||||
\(951\) | 7.28444 | − | 2.41156i | 0.236214 | − | 0.0782002i | ||||
\(952\) | 4.76940 | + | 1.27796i | 0.154577 | + | 0.0414189i | ||||
\(953\) | 38.4011 | + | 10.2895i | 1.24393 | + | 0.333311i | 0.819990 | − | 0.572378i | \(-0.193979\pi\) |
0.423943 | + | 0.905689i | \(0.360646\pi\) | |||||||
\(954\) | −0.190858 | + | 0.0222009i | −0.00617926 | + | 0.000718780i | ||||
\(955\) | −30.7060 | + | 14.2581i | −0.993624 | + | 0.461381i | ||||
\(956\) | −24.1328 | − | 13.9331i | −0.780511 | − | 0.450628i | ||||
\(957\) | 1.82380 | + | 0.916577i | 0.0589549 | + | 0.0296287i | ||||
\(958\) | −23.0679 | − | 23.0679i | −0.745291 | − | 0.745291i | ||||
\(959\) | 0.989597 | − | 1.71403i | 0.0319557 | − | 0.0553490i | ||||
\(960\) | −3.41248 | + | 1.83166i | −0.110137 | + | 0.0591166i | ||||
\(961\) | −30.2265 | −0.975050 | ||||||||
\(962\) | −20.5851 | − | 20.5851i | −0.663689 | − | 0.663689i | ||||
\(963\) | −27.2209 | − | 21.5480i | −0.877181 | − | 0.694375i | ||||
\(964\) | −12.1242 | + | 6.99994i | −0.390496 | + | 0.225453i | ||||
\(965\) | 2.54669 | − | 0.444807i | 0.0819809 | − | 0.0143188i | ||||
\(966\) | 0.542413 | − | 0.609165i | 0.0174519 | − | 0.0195996i | ||||
\(967\) | −25.1943 | − | 6.75080i | −0.810195 | − | 0.217091i | −0.170140 | − | 0.985420i | \(-0.554422\pi\) |
−0.640055 | + | 0.768329i | \(0.721089\pi\) | |||||||
\(968\) | 6.26365 | − | 6.26365i | 0.201321 | − | 0.201321i | ||||
\(969\) | −32.3224 | − | 45.3219i | −1.03835 | − | 1.45595i | ||||
\(970\) | −29.8056 | − | 2.65621i | −0.957002 | − | 0.0852858i | ||||
\(971\) | −50.7127 | + | 29.2790i | −1.62745 | + | 0.939607i | −0.642596 | + | 0.766205i | \(0.722143\pi\) |
−0.984851 | + | 0.173403i | \(0.944524\pi\) | |||||||
\(972\) | 15.1633 | + | 3.61596i | 0.486362 | + | 0.115982i | ||||
\(973\) | −7.31492 | + | 1.96003i | −0.234506 | + | 0.0628356i | ||||
\(974\) | 18.7765 | + | 32.5219i | 0.601639 | + | 1.04207i | ||||
\(975\) | 8.82798 | − | 21.9960i | 0.282722 | − | 0.704436i | ||||
\(976\) | 0.305540 | 0.00978009 | ||||||||
\(977\) | −8.98793 | − | 8.98793i | −0.287549 | − | 0.287549i | 0.548561 | − | 0.836110i | \(-0.315176\pi\) |
−0.836110 | + | 0.548561i | \(0.815176\pi\) | |||||||
\(978\) | 34.2325 | − | 22.5015i | 1.09463 | − | 0.719517i | ||||
\(979\) | 22.8926 | + | 13.2171i | 0.731651 | + | 0.422419i | ||||
\(980\) | 14.5919 | + | 1.30039i | 0.466120 | + | 0.0415396i | ||||
\(981\) | −28.0975 | + | 20.8936i | −0.897084 | + | 0.667082i | ||||
\(982\) | 9.12487 | + | 34.0545i | 0.291186 | + | 1.08672i | ||||
\(983\) | 29.1183 | + | 7.80222i | 0.928730 | + | 0.248852i | 0.691313 | − | 0.722556i | \(-0.257033\pi\) |
0.237417 | + | 0.971408i | \(0.423699\pi\) | |||||||
\(984\) | 0.630952 | − | 3.05143i | 0.0201140 | − | 0.0972761i | ||||
\(985\) | 15.4051 | − | 42.1132i | 0.490847 | − | 1.34184i | ||||
\(986\) | 5.14176 | − | 2.96860i | 0.163747 | − | 0.0945394i | ||||
\(987\) | 3.08995 | − | 6.14834i | 0.0983541 | − | 0.195704i | ||||
\(988\) | −10.0971 | + | 6.35306i | −0.321230 | + | 0.202118i | ||||
\(989\) | 0.218008 | 0.00693226 | ||||||||
\(990\) | −2.79528 | − | 9.41119i | −0.0888398 | − | 0.299107i | ||||
\(991\) | −19.3864 | − | 33.5782i | −0.615828 | − | 1.06665i | −0.990239 | − | 0.139383i | \(-0.955488\pi\) |
0.374410 | − | 0.927263i | \(-0.377845\pi\) | |||||||
\(992\) | 0.849495 | − | 0.227621i | 0.0269715 | − | 0.00722699i | ||||
\(993\) | −40.2465 | + | 2.33290i | −1.27718 | + | 0.0740324i | ||||
\(994\) | 5.18947 | + | 2.99614i | 0.164600 | + | 0.0950319i | ||||
\(995\) | 2.86605 | − | 32.1603i | 0.0908599 | − | 1.01955i | ||||
\(996\) | −11.4391 | + | 3.78699i | −0.362462 | + | 0.119995i | ||||
\(997\) | 13.7259 | + | 51.2259i | 0.434705 | + | 1.62234i | 0.741771 | + | 0.670654i | \(0.233986\pi\) |
−0.307066 | + | 0.951688i | \(0.599347\pi\) | |||||||
\(998\) | 5.81682 | + | 21.7087i | 0.184128 | + | 0.687176i | ||||
\(999\) | 31.7404 | − | 45.2498i | 1.00422 | − | 1.43164i |
(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 | 570.2.v.c.83.1 | ✓ | 144 | |
3.2 | odd | 2 | inner | 570.2.v.c.83.33 | yes | 144 | |
5.2 | odd | 4 | inner | 570.2.v.c.197.10 | yes | 144 | |
15.2 | even | 4 | inner | 570.2.v.c.197.31 | yes | 144 | |
19.11 | even | 3 | inner | 570.2.v.c.353.31 | yes | 144 | |
57.11 | odd | 6 | inner | 570.2.v.c.353.10 | yes | 144 | |
95.87 | odd | 12 | inner | 570.2.v.c.467.33 | yes | 144 | |
285.182 | even | 12 | inner | 570.2.v.c.467.1 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.v.c.83.1 | ✓ | 144 | 1.1 | even | 1 | trivial | |
570.2.v.c.83.33 | yes | 144 | 3.2 | odd | 2 | inner | |
570.2.v.c.197.10 | yes | 144 | 5.2 | odd | 4 | inner | |
570.2.v.c.197.31 | yes | 144 | 15.2 | even | 4 | inner | |
570.2.v.c.353.10 | yes | 144 | 57.11 | odd | 6 | inner | |
570.2.v.c.353.31 | yes | 144 | 19.11 | even | 3 | inner | |
570.2.v.c.467.1 | yes | 144 | 285.182 | even | 12 | inner | |
570.2.v.c.467.33 | yes | 144 | 95.87 | odd | 12 | inner |