Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(11,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.n (of order \(10\), 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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 191.18 | ||
Character | \(\chi\) | \(=\) | 300.191 |
Dual form | 300.2.n.a.11.18 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.776415 | + | 1.18202i | −0.549008 | + | 0.835817i | ||||
\(3\) | −0.846655 | − | 1.51102i | −0.488816 | − | 0.872387i | ||||
\(4\) | −0.794359 | − | 1.83548i | −0.397180 | − | 0.917741i | ||||
\(5\) | 0.448288 | − | 2.19067i | 0.200481 | − | 0.979698i | ||||
\(6\) | 2.44341 | + | 0.172411i | 0.997520 | + | 0.0703866i | ||||
\(7\) | 2.41810i | 0.913955i | 0.889478 | + | 0.456978i | \(0.151068\pi\) | ||||
−0.889478 | + | 0.456978i | \(0.848932\pi\) | |||||||
\(8\) | 2.78634 | + | 0.486145i | 0.985118 | + | 0.171878i | ||||
\(9\) | −1.56635 | + | 2.55862i | −0.522117 | + | 0.852874i | ||||
\(10\) | 2.24137 | + | 2.23076i | 0.708782 | + | 0.705427i | ||||
\(11\) | −4.39698 | − | 3.19459i | −1.32574 | − | 0.963206i | −0.999842 | − | 0.0178004i | \(-0.994334\pi\) |
−0.325897 | − | 0.945405i | \(-0.605666\pi\) | |||||||
\(12\) | −2.10090 | + | 2.75431i | −0.606477 | + | 0.795101i | ||||
\(13\) | 3.38184 | − | 2.45705i | 0.937955 | − | 0.681464i | −0.00997257 | − | 0.999950i | \(-0.503174\pi\) |
0.947928 | + | 0.318486i | \(0.103174\pi\) | |||||||
\(14\) | −2.85825 | − | 1.87745i | −0.763899 | − | 0.501769i | ||||
\(15\) | −3.68969 | + | 1.17737i | −0.952673 | + | 0.303996i | ||||
\(16\) | −2.73799 | + | 2.91606i | −0.684497 | + | 0.729016i | ||||
\(17\) | −3.42396 | − | 1.11251i | −0.830433 | − | 0.269824i | −0.137205 | − | 0.990543i | \(-0.543812\pi\) |
−0.693228 | + | 0.720719i | \(0.743812\pi\) | |||||||
\(18\) | −1.80821 | − | 3.83802i | −0.426200 | − | 0.904629i | ||||
\(19\) | −7.02945 | − | 2.28401i | −1.61267 | − | 0.523987i | −0.642471 | − | 0.766310i | \(-0.722091\pi\) |
−0.970196 | + | 0.242323i | \(0.922091\pi\) | |||||||
\(20\) | −4.37704 | + | 0.917354i | −0.978735 | + | 0.205127i | ||||
\(21\) | 3.65379 | − | 2.04730i | 0.797322 | − | 0.446756i | ||||
\(22\) | 7.18996 | − | 2.71700i | 1.53291 | − | 0.579267i | ||||
\(23\) | −0.603374 | − | 0.438377i | −0.125812 | − | 0.0914079i | 0.523100 | − | 0.852272i | \(-0.324776\pi\) |
−0.648912 | + | 0.760864i | \(0.724776\pi\) | |||||||
\(24\) | −1.62449 | − | 4.62180i | −0.331598 | − | 0.943421i | ||||
\(25\) | −4.59808 | − | 1.96410i | −0.919615 | − | 0.392821i | ||||
\(26\) | 0.278580 | + | 5.90511i | 0.0546341 | + | 1.15809i | ||||
\(27\) | 5.19228 | + | 0.200515i | 0.999255 | + | 0.0385890i | ||||
\(28\) | 4.43838 | − | 1.92084i | 0.838774 | − | 0.363004i | ||||
\(29\) | −3.66968 | + | 1.19235i | −0.681443 | + | 0.221414i | −0.629227 | − | 0.777222i | \(-0.716628\pi\) |
−0.0522158 | + | 0.998636i | \(0.516628\pi\) | |||||||
\(30\) | 1.47305 | − | 5.27543i | 0.268941 | − | 0.963157i | ||||
\(31\) | 0.927208 | + | 0.301268i | 0.166531 | + | 0.0541093i | 0.391096 | − | 0.920350i | \(-0.372096\pi\) |
−0.224565 | + | 0.974459i | \(0.572096\pi\) | |||||||
\(32\) | −1.32104 | − | 5.50044i | −0.233529 | − | 0.972350i | ||||
\(33\) | −1.10436 | + | 9.34863i | −0.192245 | + | 1.62739i | ||||
\(34\) | 3.97343 | − | 3.18343i | 0.681438 | − | 0.545954i | ||||
\(35\) | 5.29726 | + | 1.08400i | 0.895400 | + | 0.183230i | ||||
\(36\) | 5.94055 | + | 0.842544i | 0.990091 | + | 0.140424i | ||||
\(37\) | 4.42936 | − | 3.21812i | 0.728183 | − | 0.529056i | −0.160805 | − | 0.986986i | \(-0.551409\pi\) |
0.888988 | + | 0.457930i | \(0.151409\pi\) | |||||||
\(38\) | 8.15752 | − | 6.53564i | 1.32332 | − | 1.06022i | ||||
\(39\) | −6.57591 | − | 3.02975i | −1.05299 | − | 0.485148i | ||||
\(40\) | 2.31406 | − | 5.88601i | 0.365886 | − | 0.930660i | ||||
\(41\) | 1.05987 | + | 1.45879i | 0.165524 | + | 0.227824i | 0.883719 | − | 0.468017i | \(-0.155032\pi\) |
−0.718195 | + | 0.695842i | \(0.755032\pi\) | |||||||
\(42\) | −0.416907 | + | 5.90842i | −0.0643302 | + | 0.911689i | ||||
\(43\) | − | 4.88416i | − | 0.744827i | −0.928067 | − | 0.372414i | \(-0.878530\pi\) | ||
0.928067 | − | 0.372414i | \(-0.121470\pi\) | |||||||
\(44\) | −2.37084 | + | 10.6082i | −0.357417 | + | 1.59925i | ||||
\(45\) | 4.90292 | + | 4.57836i | 0.730884 | + | 0.682501i | ||||
\(46\) | 0.986641 | − | 0.372840i | 0.145472 | − | 0.0549722i | ||||
\(47\) | 2.13830 | + | 6.58101i | 0.311903 | + | 0.959940i | 0.977010 | + | 0.213192i | \(0.0683859\pi\) |
−0.665107 | + | 0.746748i | \(0.731614\pi\) | |||||||
\(48\) | 6.72435 | + | 1.66825i | 0.970577 | + | 0.240791i | ||||
\(49\) | 1.15280 | 0.164686 | ||||||||
\(50\) | 5.89163 | − | 3.91007i | 0.833203 | − | 0.552968i | ||||
\(51\) | 1.21789 | + | 6.11559i | 0.170538 | + | 0.856353i | ||||
\(52\) | −7.19628 | − | 4.25553i | −0.997944 | − | 0.590136i | ||||
\(53\) | −4.55991 | + | 1.48160i | −0.626351 | + | 0.203514i | −0.604958 | − | 0.796257i | \(-0.706810\pi\) |
−0.0213931 | + | 0.999771i | \(0.506810\pi\) | |||||||
\(54\) | −4.26838 | + | 5.98172i | −0.580853 | + | 0.814009i | ||||
\(55\) | −8.96941 | + | 8.20023i | −1.20944 | + | 1.10572i | ||||
\(56\) | −1.17555 | + | 6.73763i | −0.157089 | + | 0.900354i | ||||
\(57\) | 2.50034 | + | 12.5554i | 0.331179 | + | 1.66300i | ||||
\(58\) | 1.43981 | − | 5.26341i | 0.189056 | − | 0.691119i | ||||
\(59\) | 7.42456 | − | 5.39426i | 0.966596 | − | 0.702273i | 0.0119226 | − | 0.999929i | \(-0.496205\pi\) |
0.954673 | + | 0.297656i | \(0.0962048\pi\) | |||||||
\(60\) | 5.09198 | + | 5.83710i | 0.657372 | + | 0.753566i | ||||
\(61\) | −8.05374 | − | 5.85138i | −1.03118 | − | 0.749193i | −0.0626320 | − | 0.998037i | \(-0.519949\pi\) |
−0.968544 | + | 0.248844i | \(0.919949\pi\) | |||||||
\(62\) | −1.07600 | + | 0.862072i | −0.136653 | + | 0.109483i | ||||
\(63\) | −6.18700 | − | 3.78759i | −0.779489 | − | 0.477192i | ||||
\(64\) | 7.52733 | + | 2.70912i | 0.940916 | + | 0.338641i | ||||
\(65\) | −3.86656 | − | 8.50998i | −0.479587 | − | 1.05553i | ||||
\(66\) | −10.1929 | − | 8.56380i | −1.25465 | − | 1.05413i | ||||
\(67\) | 1.52430 | + | 0.495274i | 0.186222 | + | 0.0605073i | 0.400644 | − | 0.916234i | \(-0.368787\pi\) |
−0.214421 | + | 0.976741i | \(0.568787\pi\) | |||||||
\(68\) | 0.677859 | + | 7.16836i | 0.0822025 | + | 0.869291i | ||||
\(69\) | −0.151546 | + | 1.28286i | −0.0182440 | + | 0.154439i | ||||
\(70\) | −5.39419 | + | 5.41985i | −0.644729 | + | 0.647795i | ||||
\(71\) | −3.21134 | − | 9.88348i | −0.381115 | − | 1.17295i | −0.939259 | − | 0.343209i | \(-0.888486\pi\) |
0.558144 | − | 0.829744i | \(-0.311514\pi\) | |||||||
\(72\) | −5.60824 | + | 6.36770i | −0.660937 | + | 0.750441i | ||||
\(73\) | 3.45636 | + | 2.51119i | 0.404536 | + | 0.293913i | 0.771386 | − | 0.636367i | \(-0.219564\pi\) |
−0.366850 | + | 0.930280i | \(0.619564\pi\) | |||||||
\(74\) | 0.364870 | + | 7.73421i | 0.0424153 | + | 0.899084i | ||||
\(75\) | 0.925188 | + | 8.61069i | 0.106832 | + | 0.994277i | ||||
\(76\) | 1.39165 | + | 14.7168i | 0.159634 | + | 1.68813i | ||||
\(77\) | 7.72484 | − | 10.6323i | 0.880327 | − | 1.21167i | ||||
\(78\) | 8.68687 | − | 5.42053i | 0.983595 | − | 0.613755i | ||||
\(79\) | 8.43495 | − | 2.74068i | 0.949006 | − | 0.308351i | 0.206694 | − | 0.978406i | \(-0.433729\pi\) |
0.742311 | + | 0.670055i | \(0.233729\pi\) | |||||||
\(80\) | 5.16073 | + | 7.30526i | 0.576987 | + | 0.816753i | ||||
\(81\) | −4.09309 | − | 8.01540i | −0.454788 | − | 0.890600i | ||||
\(82\) | −2.54722 | + | 0.120168i | −0.281293 | + | 0.0132703i | ||||
\(83\) | −2.68916 | + | 8.27640i | −0.295174 | + | 0.908453i | 0.687989 | + | 0.725721i | \(0.258494\pi\) |
−0.983163 | + | 0.182731i | \(0.941506\pi\) | |||||||
\(84\) | −6.66019 | − | 5.08018i | −0.726687 | − | 0.554293i | ||||
\(85\) | −3.97207 | + | 7.00205i | −0.430832 | + | 0.759479i | ||||
\(86\) | 5.77319 | + | 3.79214i | 0.622539 | + | 0.408916i | ||||
\(87\) | 4.90862 | + | 4.53544i | 0.526259 | + | 0.486251i | ||||
\(88\) | −10.6984 | − | 11.0388i | −1.14046 | − | 1.17674i | ||||
\(89\) | 7.10249 | − | 9.77574i | 0.752863 | − | 1.03623i | −0.244912 | − | 0.969545i | \(-0.578759\pi\) |
0.997774 | − | 0.0666812i | \(-0.0212411\pi\) | |||||||
\(90\) | −9.21843 | + | 2.24066i | −0.971708 | + | 0.236186i | ||||
\(91\) | 5.94140 | + | 8.17763i | 0.622828 | + | 0.857249i | ||||
\(92\) | −0.325337 | + | 1.45571i | −0.0339187 | + | 0.151768i | ||||
\(93\) | −0.329804 | − | 1.65610i | −0.0341990 | − | 0.171729i | ||||
\(94\) | −9.43912 | − | 2.58208i | −0.973571 | − | 0.266321i | ||||
\(95\) | −8.15473 | + | 14.3753i | −0.836657 | + | 1.47488i | ||||
\(96\) | −7.19280 | + | 6.65309i | −0.734112 | + | 0.679028i | ||||
\(97\) | 0.0838452 | + | 0.258049i | 0.00851319 | + | 0.0262009i | 0.955223 | − | 0.295887i | \(-0.0956153\pi\) |
−0.946710 | + | 0.322088i | \(0.895615\pi\) | |||||||
\(98\) | −0.895051 | + | 1.36264i | −0.0904138 | + | 0.137647i | ||||
\(99\) | 15.0610 | − | 6.24635i | 1.51368 | − | 0.627782i | ||||
\(100\) | 0.0474474 | + | 9.99989i | 0.00474474 | + | 0.999989i | ||||
\(101\) | 3.26886i | 0.325263i | 0.986687 | + | 0.162632i | \(0.0519983\pi\) | ||||
−0.986687 | + | 0.162632i | \(0.948002\pi\) | |||||||
\(102\) | −8.17435 | − | 3.30866i | −0.809382 | − | 0.327606i | ||||
\(103\) | 12.9779 | − | 4.21677i | 1.27875 | − | 0.415490i | 0.410609 | − | 0.911812i | \(-0.365316\pi\) |
0.868139 | + | 0.496321i | \(0.165316\pi\) | |||||||
\(104\) | 10.6174 | − | 5.20211i | 1.04113 | − | 0.510109i | ||||
\(105\) | −2.84700 | − | 8.92203i | −0.277839 | − | 0.870701i | ||||
\(106\) | 1.78909 | − | 6.54026i | 0.173772 | − | 0.635246i | ||||
\(107\) | 14.9106 | 1.44146 | 0.720731 | − | 0.693214i | \(-0.243806\pi\) | ||||
0.720731 | + | 0.693214i | \(0.243806\pi\) | |||||||
\(108\) | −3.75650 | − | 9.68962i | −0.361469 | − | 0.932384i | ||||
\(109\) | −0.319183 | + | 0.231900i | −0.0305722 | + | 0.0222120i | −0.602966 | − | 0.797767i | \(-0.706015\pi\) |
0.572394 | + | 0.819979i | \(0.306015\pi\) | |||||||
\(110\) | −2.72888 | − | 16.9688i | −0.260189 | − | 1.61792i | ||||
\(111\) | −8.61278 | − | 3.96821i | −0.817489 | − | 0.376646i | ||||
\(112\) | −7.05133 | − | 6.62072i | −0.666288 | − | 0.625600i | ||||
\(113\) | −0.985549 | − | 1.35649i | −0.0927127 | − | 0.127608i | 0.760141 | − | 0.649758i | \(-0.225130\pi\) |
−0.852853 | + | 0.522150i | \(0.825130\pi\) | |||||||
\(114\) | −16.7821 | − | 6.79273i | −1.57179 | − | 0.636198i | ||||
\(115\) | −1.23082 | + | 1.12527i | −0.114775 | + | 0.104932i | ||||
\(116\) | 5.10358 | + | 5.78848i | 0.473856 | + | 0.537447i | ||||
\(117\) | 0.989517 | + | 12.5015i | 0.0914808 | + | 1.15576i | ||||
\(118\) | 0.611600 | + | 12.9642i | 0.0563023 | + | 1.19345i | ||||
\(119\) | 2.69017 | − | 8.27948i | 0.246607 | − | 0.758979i | ||||
\(120\) | −10.8531 | + | 1.48683i | −0.990746 | + | 0.135728i | ||||
\(121\) | 5.72881 | + | 17.6315i | 0.520801 | + | 1.60286i | ||||
\(122\) | 13.1695 | − | 4.97661i | 1.19231 | − | 0.450561i | ||||
\(123\) | 1.30691 | − | 2.83657i | 0.117840 | − | 0.255765i | ||||
\(124\) | −0.183564 | − | 1.94119i | −0.0164845 | − | 0.174324i | ||||
\(125\) | −6.36397 | + | 9.19238i | −0.569210 | + | 0.822192i | ||||
\(126\) | 9.28070 | − | 4.37244i | 0.826791 | − | 0.389528i | ||||
\(127\) | 7.48532 | − | 10.3027i | 0.664215 | − | 0.914213i | −0.335397 | − | 0.942077i | \(-0.608871\pi\) |
0.999612 | + | 0.0278639i | \(0.00887051\pi\) | |||||||
\(128\) | −9.04658 | + | 6.79407i | −0.799612 | + | 0.600517i | ||||
\(129\) | −7.38005 | + | 4.13520i | −0.649777 | + | 0.364084i | ||||
\(130\) | 13.0610 | + | 2.03691i | 1.14553 | + | 0.178649i | ||||
\(131\) | −2.50370 | + | 7.70560i | −0.218749 | + | 0.673241i | 0.780117 | + | 0.625634i | \(0.215160\pi\) |
−0.998866 | + | 0.0476075i | \(0.984840\pi\) | |||||||
\(132\) | 18.0365 | − | 5.39913i | 1.56988 | − | 0.469934i | ||||
\(133\) | 5.52295 | − | 16.9979i | 0.478901 | − | 1.47391i | ||||
\(134\) | −1.76891 | + | 1.41722i | −0.152811 | + | 0.122429i | ||||
\(135\) | 2.76690 | − | 11.2847i | 0.238137 | − | 0.971232i | ||||
\(136\) | −8.99947 | − | 4.76438i | −0.771698 | − | 0.408542i | ||||
\(137\) | −0.670311 | − | 0.922604i | −0.0572685 | − | 0.0788234i | 0.779422 | − | 0.626499i | \(-0.215513\pi\) |
−0.836691 | + | 0.547676i | \(0.815513\pi\) | |||||||
\(138\) | −1.39871 | − | 1.17517i | −0.119066 | − | 0.100037i | ||||
\(139\) | −4.51555 | + | 6.21512i | −0.383004 | + | 0.527159i | −0.956377 | − | 0.292135i | \(-0.905634\pi\) |
0.573374 | + | 0.819294i | \(0.305634\pi\) | |||||||
\(140\) | −2.21825 | − | 10.5841i | −0.187477 | − | 0.894520i | ||||
\(141\) | 8.13363 | − | 8.80286i | 0.684975 | − | 0.741334i | ||||
\(142\) | 14.1758 | + | 3.87781i | 1.18961 | + | 0.325418i | ||||
\(143\) | −22.7192 | −1.89987 | ||||||||
\(144\) | −3.17245 | − | 11.5731i | −0.264371 | − | 0.964421i | ||||
\(145\) | 0.966975 | + | 8.57358i | 0.0803029 | + | 0.711997i | ||||
\(146\) | −5.65186 | + | 2.13577i | −0.467751 | + | 0.176758i | ||||
\(147\) | −0.976023 | − | 1.74190i | −0.0805010 | − | 0.143670i | ||||
\(148\) | −9.42531 | − | 5.57367i | −0.774756 | − | 0.458153i | ||||
\(149\) | − | 10.9006i | − | 0.893009i | −0.894781 | − | 0.446504i | \(-0.852669\pi\) | ||
0.894781 | − | 0.446504i | \(-0.147331\pi\) | |||||||
\(150\) | −10.8964 | − | 5.59188i | −0.889685 | − | 0.456575i | ||||
\(151\) | − | 15.6536i | − | 1.27387i | −0.770918 | − | 0.636934i | \(-0.780202\pi\) | ||
0.770918 | − | 0.636934i | \(-0.219798\pi\) | |||||||
\(152\) | −18.4760 | − | 9.78134i | −1.49861 | − | 0.793371i | ||||
\(153\) | 8.20963 | − | 7.01804i | 0.663709 | − | 0.567375i | ||||
\(154\) | 6.56998 | + | 17.3860i | 0.529424 | + | 1.40101i | ||||
\(155\) | 1.07564 | − | 1.89615i | 0.0863971 | − | 0.152303i | ||||
\(156\) | −0.337421 | + | 14.4767i | −0.0270153 | + | 1.15906i | ||||
\(157\) | −2.53522 | −0.202333 | −0.101166 | − | 0.994870i | \(-0.532257\pi\) | ||||
−0.101166 | + | 0.994870i | \(0.532257\pi\) | |||||||
\(158\) | −3.30947 | + | 12.0982i | −0.263287 | + | 0.962482i | ||||
\(159\) | 6.09940 | + | 5.63569i | 0.483714 | + | 0.446940i | ||||
\(160\) | −12.6419 | + | 0.428183i | −0.999427 | + | 0.0338508i | ||||
\(161\) | 1.06004 | − | 1.45902i | 0.0835427 | − | 0.114987i | ||||
\(162\) | 12.6523 | + | 1.38515i | 0.994061 | + | 0.108827i | ||||
\(163\) | −4.10076 | − | 5.64421i | −0.321196 | − | 0.442088i | 0.617636 | − | 0.786464i | \(-0.288091\pi\) |
−0.938832 | + | 0.344376i | \(0.888091\pi\) | |||||||
\(164\) | 1.83566 | − | 3.10417i | 0.143341 | − | 0.242395i | ||||
\(165\) | 19.9847 | + | 6.61017i | 1.55581 | + | 0.514601i | ||||
\(166\) | −7.69499 | − | 9.60458i | −0.597247 | − | 0.745460i | ||||
\(167\) | 3.04199 | − | 9.36229i | 0.235396 | − | 0.724475i | −0.761672 | − | 0.647963i | \(-0.775621\pi\) |
0.997069 | − | 0.0765130i | \(-0.0243787\pi\) | |||||||
\(168\) | 11.1760 | − | 3.92818i | 0.862245 | − | 0.303066i | ||||
\(169\) | 1.38254 | − | 4.25502i | 0.106349 | − | 0.327309i | ||||
\(170\) | −5.19261 | − | 10.1316i | −0.398255 | − | 0.777057i | ||||
\(171\) | 16.8545 | − | 14.4081i | 1.28890 | − | 1.10182i | ||||
\(172\) | −8.96479 | + | 3.87978i | −0.683558 | + | 0.295830i | ||||
\(173\) | −4.28821 | + | 5.90221i | −0.326026 | + | 0.448737i | −0.940295 | − | 0.340360i | \(-0.889451\pi\) |
0.614269 | + | 0.789097i | \(0.289451\pi\) | |||||||
\(174\) | −9.17213 | + | 2.28071i | −0.695337 | + | 0.172901i | ||||
\(175\) | 4.74940 | − | 11.1186i | 0.359021 | − | 0.840487i | ||||
\(176\) | 21.3545 | − | 4.07512i | 1.60966 | − | 0.307173i | ||||
\(177\) | −14.4369 | − | 6.65157i | −1.08514 | − | 0.499963i | ||||
\(178\) | 6.04067 | + | 15.9853i | 0.452768 | + | 1.19815i | ||||
\(179\) | −3.23376 | − | 9.95248i | −0.241702 | − | 0.743883i | −0.996161 | − | 0.0875361i | \(-0.972101\pi\) |
0.754459 | − | 0.656347i | \(-0.227899\pi\) | |||||||
\(180\) | 4.50881 | − | 12.6361i | 0.336067 | − | 0.941838i | ||||
\(181\) | −3.18442 | + | 9.80064i | −0.236696 | + | 0.728476i | 0.760196 | + | 0.649694i | \(0.225103\pi\) |
−0.996892 | + | 0.0787818i | \(0.974897\pi\) | |||||||
\(182\) | −14.2791 | + | 0.673634i | −1.05844 | + | 0.0499331i | ||||
\(183\) | −2.02281 | + | 17.1234i | −0.149530 | + | 1.26580i | ||||
\(184\) | −1.46809 | − | 1.51479i | −0.108229 | − | 0.111672i | ||||
\(185\) | −5.06421 | − | 11.1459i | −0.372328 | − | 0.819465i | ||||
\(186\) | 2.21361 | + | 0.895984i | 0.162310 | + | 0.0656967i | ||||
\(187\) | 11.5011 | + | 15.8299i | 0.841041 | + | 1.15759i | ||||
\(188\) | 10.3808 | − | 9.15250i | 0.757094 | − | 0.667515i | ||||
\(189\) | −0.484864 | + | 12.5554i | −0.0352687 | + | 0.913275i | ||||
\(190\) | −10.6605 | − | 20.8003i | −0.773395 | − | 1.50901i | ||||
\(191\) | −1.96713 | + | 1.42920i | −0.142336 | + | 0.103413i | −0.656675 | − | 0.754174i | \(-0.728038\pi\) |
0.514338 | + | 0.857587i | \(0.328038\pi\) | |||||||
\(192\) | −2.27951 | − | 13.6676i | −0.164510 | − | 0.986375i | ||||
\(193\) | −10.0809 | −0.725641 | −0.362820 | − | 0.931859i | \(-0.618186\pi\) | ||||
−0.362820 | + | 0.931859i | \(0.618186\pi\) | |||||||
\(194\) | −0.370119 | − | 0.101246i | −0.0265730 | − | 0.00726905i | ||||
\(195\) | −9.58509 | + | 13.0474i | −0.686402 | + | 0.934347i | ||||
\(196\) | −0.915737 | − | 2.11594i | −0.0654098 | − | 0.151139i | ||||
\(197\) | −9.28825 | + | 3.01794i | −0.661761 | + | 0.215019i | −0.620593 | − | 0.784133i | \(-0.713108\pi\) |
−0.0411680 | + | 0.999152i | \(0.513108\pi\) | |||||||
\(198\) | −4.31022 | + | 22.6522i | −0.306314 | + | 1.60982i | ||||
\(199\) | − | 3.38793i | − | 0.240164i | −0.992764 | − | 0.120082i | \(-0.961684\pi\) | ||
0.992764 | − | 0.120082i | \(-0.0383157\pi\) | |||||||
\(200\) | −11.8569 | − | 7.70798i | −0.838412 | − | 0.545036i | ||||
\(201\) | −0.542185 | − | 2.72256i | −0.0382428 | − | 0.192035i | ||||
\(202\) | −3.86387 | − | 2.53799i | −0.271861 | − | 0.178572i | ||||
\(203\) | −2.88322 | − | 8.87365i | −0.202363 | − | 0.622808i | ||||
\(204\) | 10.2576 | − | 7.09338i | 0.718176 | − | 0.496636i | ||||
\(205\) | 3.67085 | − | 1.66787i | 0.256383 | − | 0.116489i | ||||
\(206\) | −5.09190 | + | 18.6141i | −0.354769 | + | 1.29691i | ||||
\(207\) | 2.06674 | − | 0.857154i | 0.143648 | − | 0.0595763i | ||||
\(208\) | −2.09452 | + | 16.5891i | −0.145229 | + | 1.15024i | ||||
\(209\) | 23.6119 | + | 32.4990i | 1.63327 | + | 2.24800i | ||||
\(210\) | 12.7565 | + | 3.56198i | 0.880282 | + | 0.245800i | ||||
\(211\) | −3.99456 | + | 5.49804i | −0.274997 | + | 0.378501i | −0.924069 | − | 0.382226i | \(-0.875157\pi\) |
0.649072 | + | 0.760727i | \(0.275157\pi\) | |||||||
\(212\) | 6.34166 | + | 7.19270i | 0.435547 | + | 0.493997i | ||||
\(213\) | −12.2152 | + | 13.2203i | −0.836973 | + | 0.905839i | ||||
\(214\) | −11.5768 | + | 17.6247i | −0.791375 | + | 1.20480i | ||||
\(215\) | −10.6996 | − | 2.18951i | −0.729706 | − | 0.149323i | ||||
\(216\) | 14.3700 | + | 3.08290i | 0.977752 | + | 0.209765i | ||||
\(217\) | −0.728496 | + | 2.24208i | −0.0494535 | + | 0.152202i | ||||
\(218\) | −0.0262927 | − | 0.557332i | −0.00178077 | − | 0.0377473i | ||||
\(219\) | 0.868112 | − | 7.34873i | 0.0586616 | − | 0.496581i | ||||
\(220\) | 22.1763 | + | 9.94926i | 1.49513 | + | 0.670779i | ||||
\(221\) | −14.3128 | + | 4.65052i | −0.962784 | + | 0.312828i | ||||
\(222\) | 11.3776 | − | 7.09953i | 0.763615 | − | 0.476489i | ||||
\(223\) | −12.8992 | + | 17.7543i | −0.863797 | + | 1.18891i | 0.116854 | + | 0.993149i | \(0.462719\pi\) |
−0.980651 | + | 0.195765i | \(0.937281\pi\) | |||||||
\(224\) | 13.3006 | − | 3.19441i | 0.888684 | − | 0.213435i | ||||
\(225\) | 12.2276 | − | 8.68826i | 0.815173 | − | 0.579217i | ||||
\(226\) | 2.36860 | − | 0.111741i | 0.157557 | − | 0.00743292i | ||||
\(227\) | 11.6050 | + | 8.43149i | 0.770248 | + | 0.559618i | 0.902036 | − | 0.431660i | \(-0.142072\pi\) |
−0.131789 | + | 0.991278i | \(0.542072\pi\) | |||||||
\(228\) | 21.0590 | − | 14.5628i | 1.39467 | − | 0.964447i | ||||
\(229\) | −7.05514 | − | 21.7135i | −0.466217 | − | 1.43487i | −0.857445 | − | 0.514575i | \(-0.827950\pi\) |
0.391228 | − | 0.920294i | \(-0.372050\pi\) | |||||||
\(230\) | −0.374470 | − | 2.32854i | −0.0246918 | − | 0.153540i | ||||
\(231\) | −22.6059 | − | 2.67046i | −1.48736 | − | 0.175703i | ||||
\(232\) | −10.8046 | + | 1.53829i | −0.709358 | + | 0.100994i | ||||
\(233\) | −13.5636 | − | 4.40708i | −0.888580 | − | 0.288717i | −0.171065 | − | 0.985260i | \(-0.554721\pi\) |
−0.717515 | + | 0.696543i | \(0.754721\pi\) | |||||||
\(234\) | −15.5453 | − | 8.53670i | −1.01623 | − | 0.558061i | ||||
\(235\) | 15.3754 | − | 1.73412i | 1.00298 | − | 0.113122i | ||||
\(236\) | −15.7988 | − | 9.34267i | −1.02842 | − | 0.608156i | ||||
\(237\) | −11.2827 | − | 10.4249i | −0.732891 | − | 0.677173i | ||||
\(238\) | 7.69786 | + | 9.60816i | 0.498978 | + | 0.622804i | ||||
\(239\) | 9.77091 | + | 7.09898i | 0.632028 | + | 0.459195i | 0.857102 | − | 0.515147i | \(-0.172262\pi\) |
−0.225074 | + | 0.974342i | \(0.572262\pi\) | |||||||
\(240\) | 6.66903 | − | 13.9830i | 0.430484 | − | 0.902598i | ||||
\(241\) | −18.3021 | + | 13.2972i | −1.17894 | + | 0.856550i | −0.992052 | − | 0.125832i | \(-0.959840\pi\) |
−0.186888 | + | 0.982381i | \(0.559840\pi\) | |||||||
\(242\) | −25.2888 | − | 6.91775i | −1.62562 | − | 0.444690i | ||||
\(243\) | −8.64598 | + | 12.9710i | −0.554640 | + | 0.832091i | ||||
\(244\) | −4.34255 | + | 19.4306i | −0.278003 | + | 1.24392i | ||||
\(245\) | 0.516786 | − | 2.52540i | 0.0330163 | − | 0.161342i | ||||
\(246\) | 2.33819 | + | 3.74715i | 0.149078 | + | 0.238910i | ||||
\(247\) | −29.3844 | + | 9.54758i | −1.86969 | + | 0.607498i | ||||
\(248\) | 2.43705 | + | 1.29019i | 0.154753 | + | 0.0819272i | ||||
\(249\) | 14.7826 | − | 2.94388i | 0.936808 | − | 0.186561i | ||||
\(250\) | −5.92454 | − | 14.6595i | −0.374701 | − | 0.927146i | ||||
\(251\) | 22.4679 | 1.41816 | 0.709080 | − | 0.705128i | \(-0.249111\pi\) | ||||
0.709080 | + | 0.705128i | \(0.249111\pi\) | |||||||
\(252\) | −2.03735 | + | 14.3648i | −0.128341 | + | 0.904899i | ||||
\(253\) | 1.25259 | + | 3.85507i | 0.0787495 | + | 0.242366i | ||||
\(254\) | 6.36627 | + | 16.8470i | 0.399455 | + | 1.05707i | ||||
\(255\) | 13.9432 | + | 0.0735523i | 0.873157 | + | 0.00460602i | ||||
\(256\) | −1.00685 | − | 15.9683i | −0.0629282 | − | 0.998018i | ||||
\(257\) | − | 14.6794i | − | 0.915675i | −0.889036 | − | 0.457837i | \(-0.848624\pi\) | ||
0.889036 | − | 0.457837i | \(-0.151376\pi\) | |||||||
\(258\) | 0.842084 | − | 11.9340i | 0.0524258 | − | 0.742980i | ||||
\(259\) | 7.78174 | + | 10.7106i | 0.483534 | + | 0.665527i | ||||
\(260\) | −12.5485 | + | 13.8570i | −0.778223 | + | 0.859373i | ||||
\(261\) | 2.69723 | − | 11.2570i | 0.166954 | − | 0.696789i | ||||
\(262\) | −7.16429 | − | 8.94218i | −0.442611 | − | 0.552450i | ||||
\(263\) | 0.272509 | − | 0.197990i | 0.0168036 | − | 0.0122086i | −0.579352 | − | 0.815078i | \(-0.696694\pi\) |
0.596155 | + | 0.802869i | \(0.296694\pi\) | |||||||
\(264\) | −7.62191 | + | 25.5115i | −0.469096 | + | 1.57013i | ||||
\(265\) | 1.20155 | + | 10.6534i | 0.0738108 | + | 0.654435i | ||||
\(266\) | 15.8038 | + | 19.7257i | 0.968994 | + | 1.20946i | ||||
\(267\) | −20.7847 | − | 2.45531i | −1.27200 | − | 0.150263i | ||||
\(268\) | −0.301772 | − | 3.19124i | −0.0184337 | − | 0.194936i | ||||
\(269\) | 4.55805 | + | 1.48100i | 0.277909 | + | 0.0902981i | 0.444655 | − | 0.895702i | \(-0.353326\pi\) |
−0.166746 | + | 0.986000i | \(0.553326\pi\) | |||||||
\(270\) | 11.1905 | + | 12.0321i | 0.681033 | + | 0.732253i | ||||
\(271\) | −1.31182 | + | 0.426235i | −0.0796871 | + | 0.0258919i | −0.348589 | − | 0.937276i | \(-0.613339\pi\) |
0.268902 | + | 0.963168i | \(0.413339\pi\) | |||||||
\(272\) | 12.6189 | − | 6.93845i | 0.765135 | − | 0.420705i | ||||
\(273\) | 7.32624 | − | 15.9012i | 0.443404 | − | 0.962384i | ||||
\(274\) | 1.61098 | − | 0.0759997i | 0.0973228 | − | 0.00459131i | ||||
\(275\) | 13.9431 | + | 23.3251i | 0.840802 | + | 1.40656i | ||||
\(276\) | 2.47505 | − | 0.740894i | 0.148981 | − | 0.0445966i | ||||
\(277\) | 16.6056 | + | 12.0647i | 0.997736 | + | 0.724898i | 0.961602 | − | 0.274449i | \(-0.0884956\pi\) |
0.0361344 | + | 0.999347i | \(0.488496\pi\) | |||||||
\(278\) | −3.84047 | − | 10.1630i | −0.230336 | − | 0.609536i | ||||
\(279\) | −2.22316 | + | 1.90048i | −0.133097 | + | 0.113779i | ||||
\(280\) | 14.2330 | + | 5.59563i | 0.850582 | + | 0.334403i | ||||
\(281\) | 29.4467 | + | 9.56781i | 1.75664 | + | 0.570768i | 0.996844 | − | 0.0793905i | \(-0.0252974\pi\) |
0.759799 | + | 0.650158i | \(0.225297\pi\) | |||||||
\(282\) | 4.09012 | + | 16.4488i | 0.243563 | + | 0.979512i | ||||
\(283\) | −17.3687 | − | 5.64343i | −1.03246 | − | 0.335467i | −0.256698 | − | 0.966492i | \(-0.582635\pi\) |
−0.775763 | + | 0.631025i | \(0.782635\pi\) | |||||||
\(284\) | −15.5900 | + | 13.7454i | −0.925096 | + | 0.815638i | ||||
\(285\) | 28.6256 | + | 0.151004i | 1.69563 | + | 0.00894470i | ||||
\(286\) | 17.6395 | − | 26.8546i | 1.04305 | − | 1.58795i | ||||
\(287\) | −3.52749 | + | 2.56287i | −0.208221 | + | 0.151282i | ||||
\(288\) | 16.1428 | + | 5.23558i | 0.951221 | + | 0.308509i | ||||
\(289\) | −3.26745 | − | 2.37394i | −0.192203 | − | 0.139643i | ||||
\(290\) | −10.8849 | − | 5.51367i | −0.639186 | − | 0.323774i | ||||
\(291\) | 0.318929 | − | 0.345170i | 0.0186959 | − | 0.0202342i | ||||
\(292\) | 1.86366 | − | 8.33887i | 0.109062 | − | 0.487995i | ||||
\(293\) | 0.678902i | 0.0396619i | 0.999803 | + | 0.0198309i | \(0.00631280\pi\) | ||||
−0.999803 | + | 0.0198309i | \(0.993687\pi\) | |||||||
\(294\) | 2.81677 | + | 0.198756i | 0.164277 | + | 0.0115917i | ||||
\(295\) | −8.48871 | − | 18.6830i | −0.494232 | − | 1.08776i | ||||
\(296\) | 13.9062 | − | 6.81345i | 0.808280 | − | 0.396024i | ||||
\(297\) | −22.1898 | − | 17.4689i | −1.28758 | − | 1.01365i | ||||
\(298\) | 12.8847 | + | 8.46336i | 0.746392 | + | 0.490269i | ||||
\(299\) | −3.11763 | −0.180297 | ||||||||
\(300\) | 15.0698 | − | 8.53815i | 0.870058 | − | 0.492950i | ||||
\(301\) | 11.8104 | 0.680739 | ||||||||
\(302\) | 18.5029 | + | 12.1537i | 1.06472 | + | 0.699365i | ||||
\(303\) | 4.93930 | − | 2.76759i | 0.283756 | − | 0.158994i | ||||
\(304\) | 25.9069 | − | 14.2447i | 1.48586 | − | 0.816992i | ||||
\(305\) | −16.4288 | + | 15.0200i | −0.940713 | + | 0.860042i | ||||
\(306\) | 1.92141 | + | 15.1529i | 0.109840 | + | 0.866233i | ||||
\(307\) | − | 11.8120i | − | 0.674144i | −0.941479 | − | 0.337072i | \(-0.890563\pi\) | ||
0.941479 | − | 0.337072i | \(-0.109437\pi\) | |||||||
\(308\) | −25.6517 | − | 5.73291i | −1.46164 | − | 0.326663i | ||||
\(309\) | −17.3594 | − | 16.0396i | −0.987541 | − | 0.912464i | ||||
\(310\) | 1.40616 | + | 2.74363i | 0.0798643 | + | 0.155828i | ||||
\(311\) | −25.2760 | − | 18.3641i | −1.43327 | − | 1.04133i | −0.989396 | − | 0.145242i | \(-0.953604\pi\) |
−0.443874 | − | 0.896089i | \(-0.646396\pi\) | |||||||
\(312\) | −16.8498 | − | 11.6387i | −0.953931 | − | 0.658914i | ||||
\(313\) | 24.0978 | − | 17.5081i | 1.36209 | − | 0.989616i | 0.363781 | − | 0.931484i | \(-0.381486\pi\) |
0.998309 | − | 0.0581319i | \(-0.0185144\pi\) | |||||||
\(314\) | 1.96838 | − | 2.99669i | 0.111082 | − | 0.169113i | ||||
\(315\) | −11.0709 | + | 11.8557i | −0.623776 | + | 0.667996i | ||||
\(316\) | −11.7308 | − | 13.3051i | −0.659912 | − | 0.748471i | ||||
\(317\) | 22.8011 | + | 7.40851i | 1.28064 | + | 0.416104i | 0.868804 | − | 0.495157i | \(-0.164889\pi\) |
0.411831 | + | 0.911260i | \(0.364889\pi\) | |||||||
\(318\) | −11.3972 | + | 2.83399i | −0.639122 | + | 0.158922i | ||||
\(319\) | 19.9446 | + | 6.48039i | 1.11668 | + | 0.362832i | ||||
\(320\) | 9.30921 | − | 15.2754i | 0.520401 | − | 0.853922i | ||||
\(321\) | −12.6241 | − | 22.5302i | −0.704611 | − | 1.25751i | ||||
\(322\) | 0.901564 | + | 2.38579i | 0.0502422 | + | 0.132955i | ||||
\(323\) | 21.5276 | + | 15.6407i | 1.19783 | + | 0.870273i | ||||
\(324\) | −11.4607 | + | 13.8799i | −0.636707 | + | 0.771105i | ||||
\(325\) | −20.3759 | + | 4.65543i | −1.13025 | + | 0.258237i | ||||
\(326\) | 9.85547 | − | 0.464943i | 0.545844 | − | 0.0257508i | ||||
\(327\) | 0.620642 | + | 0.285952i | 0.0343216 | + | 0.0158132i | ||||
\(328\) | 2.24397 | + | 4.57992i | 0.123903 | + | 0.252884i | ||||
\(329\) | −15.9135 | + | 5.17062i | −0.877342 | + | 0.285066i | ||||
\(330\) | −23.3298 | + | 18.4901i | −1.28426 | + | 1.01785i | ||||
\(331\) | −16.9808 | − | 5.51739i | −0.933347 | − | 0.303263i | −0.197417 | − | 0.980320i | \(-0.563255\pi\) |
−0.735931 | + | 0.677057i | \(0.763255\pi\) | |||||||
\(332\) | 17.3273 | − | 1.63852i | 0.950961 | − | 0.0899254i | ||||
\(333\) | 1.29602 | + | 16.3738i | 0.0710213 | + | 0.897277i | ||||
\(334\) | 8.70459 | + | 10.8647i | 0.476294 | + | 0.594491i | ||||
\(335\) | 1.76830 | − | 3.11720i | 0.0966128 | − | 0.170311i | ||||
\(336\) | −4.03399 | + | 16.2602i | −0.220072 | + | 0.887064i | ||||
\(337\) | 2.89131 | − | 2.10066i | 0.157500 | − | 0.114430i | −0.506244 | − | 0.862390i | \(-0.668967\pi\) |
0.663744 | + | 0.747960i | \(0.268967\pi\) | |||||||
\(338\) | 3.95610 | + | 4.93785i | 0.215184 | + | 0.268584i | ||||
\(339\) | −1.21526 | + | 2.63766i | −0.0660041 | + | 0.143258i | ||||
\(340\) | 16.0074 | + | 1.72852i | 0.868123 | + | 0.0937424i | ||||
\(341\) | −3.11448 | − | 4.28672i | −0.168659 | − | 0.232139i | ||||
\(342\) | 3.94469 | + | 31.1091i | 0.213304 | + | 1.68219i | ||||
\(343\) | 19.7143i | 1.06447i | ||||||||
\(344\) | 2.37441 | − | 13.6089i | 0.128020 | − | 0.733743i | ||||
\(345\) | 2.74239 | + | 0.907079i | 0.147646 | + | 0.0488355i | ||||
\(346\) | −3.64712 | − | 9.65133i | −0.196071 | − | 0.518859i | ||||
\(347\) | −4.86918 | − | 14.9858i | −0.261392 | − | 0.804480i | −0.992503 | − | 0.122222i | \(-0.960998\pi\) |
0.731111 | − | 0.682258i | \(-0.239002\pi\) | |||||||
\(348\) | 4.42552 | − | 12.6124i | 0.237233 | − | 0.676098i | ||||
\(349\) | −12.0965 | −0.647511 | −0.323755 | − | 0.946141i | \(-0.604945\pi\) | ||||
−0.323755 | + | 0.946141i | \(0.604945\pi\) | |||||||
\(350\) | 9.45494 | + | 14.2465i | 0.505388 | + | 0.761510i | ||||
\(351\) | 18.0522 | − | 12.0796i | 0.963553 | − | 0.644762i | ||||
\(352\) | −11.7631 | + | 28.4055i | −0.626974 | + | 1.51402i | ||||
\(353\) | 12.1828 | − | 3.95842i | 0.648423 | − | 0.210685i | 0.0337045 | − | 0.999432i | \(-0.489270\pi\) |
0.614719 | + | 0.788746i | \(0.289270\pi\) | |||||||
\(354\) | 19.0713 | − | 11.9003i | 1.01363 | − | 0.632496i | ||||
\(355\) | −23.0910 | + | 2.60433i | −1.22555 | + | 0.138224i | ||||
\(356\) | −23.5851 | − | 5.27105i | −1.25001 | − | 0.279365i | ||||
\(357\) | −14.7881 | + | 2.94497i | −0.782669 | + | 0.155865i | ||||
\(358\) | 14.2748 | + | 3.90488i | 0.754447 | + | 0.206379i | ||||
\(359\) | −10.9861 | + | 7.98186i | −0.579824 | + | 0.421267i | −0.838661 | − | 0.544654i | \(-0.816661\pi\) |
0.258837 | + | 0.965921i | \(0.416661\pi\) | |||||||
\(360\) | 11.4354 | + | 15.1404i | 0.602700 | + | 0.797968i | ||||
\(361\) | 28.8252 | + | 20.9427i | 1.51711 | + | 1.10225i | ||||
\(362\) | −9.11216 | − | 11.3734i | −0.478924 | − | 0.597774i | ||||
\(363\) | 21.7912 | − | 23.5841i | 1.14374 | − | 1.23785i | ||||
\(364\) | 10.2903 | − | 17.4013i | 0.539358 | − | 0.912076i | ||||
\(365\) | 7.05064 | − | 6.44600i | 0.369047 | − | 0.337399i | ||||
\(366\) | −18.6698 | − | 15.6859i | −0.975885 | − | 0.819916i | ||||
\(367\) | −32.4074 | − | 10.5298i | −1.69165 | − | 0.549651i | −0.704536 | − | 0.709668i | \(-0.748845\pi\) |
−0.987114 | + | 0.160017i | \(0.948845\pi\) | |||||||
\(368\) | 2.93037 | − | 0.559207i | 0.152756 | − | 0.0291507i | ||||
\(369\) | −5.39261 | + | 0.426836i | −0.280728 | + | 0.0222202i | ||||
\(370\) | 17.1067 | + | 2.66785i | 0.889334 | + | 0.138695i | ||||
\(371\) | −3.58266 | − | 11.0263i | −0.186003 | − | 0.572457i | ||||
\(372\) | −2.77775 | + | 1.92088i | −0.144020 | + | 0.0995932i | ||||
\(373\) | −15.2003 | − | 11.0437i | −0.787043 | − | 0.571820i | 0.120041 | − | 0.992769i | \(-0.461697\pi\) |
−0.907084 | + | 0.420949i | \(0.861697\pi\) | |||||||
\(374\) | −27.6409 | + | 1.30399i | −1.42928 | + | 0.0674276i | ||||
\(375\) | 19.2779 | + | 1.83329i | 0.995509 | + | 0.0946706i | ||||
\(376\) | 2.75870 | + | 19.3764i | 0.142269 | + | 0.999263i | ||||
\(377\) | −9.48062 | + | 13.0490i | −0.488277 | + | 0.672055i | ||||
\(378\) | −14.4644 | − | 10.3214i | −0.743967 | − | 0.530874i | ||||
\(379\) | −4.26825 | + | 1.38684i | −0.219245 | + | 0.0712370i | −0.416580 | − | 0.909099i | \(-0.636771\pi\) |
0.197335 | + | 0.980336i | \(0.436771\pi\) | |||||||
\(380\) | 32.8634 | + | 3.54869i | 1.68586 | + | 0.182044i | ||||
\(381\) | −21.9050 | − | 2.58766i | −1.12223 | − | 0.132570i | ||||
\(382\) | −0.162042 | − | 3.43484i | −0.00829081 | − | 0.175742i | ||||
\(383\) | 5.88153 | − | 18.1015i | 0.300532 | − | 0.924943i | −0.680774 | − | 0.732493i | \(-0.738357\pi\) |
0.981307 | − | 0.192450i | \(-0.0616434\pi\) | |||||||
\(384\) | 17.9253 | + | 7.91731i | 0.914746 | + | 0.404029i | ||||
\(385\) | −19.8290 | − | 21.6889i | −1.01058 | − | 1.10537i | ||||
\(386\) | 7.82698 | − | 11.9159i | 0.398383 | − | 0.606503i | ||||
\(387\) | 12.4967 | + | 7.65031i | 0.635244 | + | 0.388887i | ||||
\(388\) | 0.407041 | − | 0.358880i | 0.0206644 | − | 0.0182194i | ||||
\(389\) | 15.3395 | − | 21.1130i | 0.777744 | − | 1.07047i | −0.217784 | − | 0.975997i | \(-0.569883\pi\) |
0.995527 | − | 0.0944751i | \(-0.0301173\pi\) | |||||||
\(390\) | −7.98038 | − | 21.4600i | −0.404102 | − | 1.08667i | ||||
\(391\) | 1.57823 | + | 2.17225i | 0.0798146 | + | 0.109855i | ||||
\(392\) | 3.21209 | + | 0.560427i | 0.162235 | + | 0.0283059i | ||||
\(393\) | 13.7631 | − | 2.74085i | 0.694255 | − | 0.138257i | ||||
\(394\) | 3.64427 | − | 13.3221i | 0.183596 | − | 0.671158i | ||||
\(395\) | −2.22264 | − | 19.7068i | −0.111833 | − | 0.991557i | ||||
\(396\) | −23.4289 | − | 22.6823i | −1.17735 | − | 1.13983i | ||||
\(397\) | 6.41425 | + | 19.7410i | 0.321922 | + | 0.990774i | 0.972811 | + | 0.231601i | \(0.0743965\pi\) |
−0.650889 | + | 0.759173i | \(0.725604\pi\) | |||||||
\(398\) | 4.00461 | + | 2.63044i | 0.200733 | + | 0.131852i | ||||
\(399\) | −30.3602 | + | 6.04608i | −1.51991 | + | 0.302682i | ||||
\(400\) | 18.3169 | − | 8.03059i | 0.915846 | − | 0.401530i | ||||
\(401\) | 6.86962i | 0.343052i | 0.985180 | + | 0.171526i | \(0.0548698\pi\) | ||||
−0.985180 | + | 0.171526i | \(0.945130\pi\) | |||||||
\(402\) | 3.63909 | + | 1.47296i | 0.181502 | + | 0.0734648i | ||||
\(403\) | 3.87590 | − | 1.25936i | 0.193073 | − | 0.0627331i | ||||
\(404\) | 5.99993 | − | 2.59665i | 0.298508 | − | 0.129188i | ||||
\(405\) | −19.3940 | + | 5.37340i | −0.963695 | + | 0.267007i | ||||
\(406\) | 12.7274 | + | 3.48160i | 0.631652 | + | 0.172789i | ||||
\(407\) | −29.7564 | −1.47497 | ||||||||
\(408\) | 0.420385 | + | 17.6321i | 0.0208121 | + | 0.872921i | ||||
\(409\) | −6.98257 | + | 5.07313i | −0.345266 | + | 0.250850i | −0.746880 | − | 0.664959i | \(-0.768449\pi\) |
0.401614 | + | 0.915809i | \(0.368449\pi\) | |||||||
\(410\) | −0.878640 | + | 5.63399i | −0.0433929 | + | 0.278243i | ||||
\(411\) | −0.826549 | + | 1.79398i | −0.0407707 | + | 0.0884905i | ||||
\(412\) | −18.0489 | − | 20.4710i | −0.889205 | − | 1.00853i | ||||
\(413\) | 13.0439 | + | 17.9533i | 0.641846 | + | 0.883425i | ||||
\(414\) | −0.591469 | + | 3.10844i | −0.0290691 | + | 0.152771i | ||||
\(415\) | 16.9253 | + | 9.60129i | 0.830832 | + | 0.471309i | ||||
\(416\) | −17.9824 | − | 15.3558i | −0.881661 | − | 0.752879i | ||||
\(417\) | 13.2143 | + | 1.56101i | 0.647105 | + | 0.0764431i | ||||
\(418\) | −56.7471 | + | 2.67711i | −2.77559 | + | 0.130942i | ||||
\(419\) | −6.32764 | + | 19.4745i | −0.309125 | + | 0.951390i | 0.668980 | + | 0.743280i | \(0.266731\pi\) |
−0.978106 | + | 0.208110i | \(0.933269\pi\) | |||||||
\(420\) | −14.1147 | + | 12.3129i | −0.688726 | + | 0.600808i | ||||
\(421\) | −4.72590 | − | 14.5448i | −0.230326 | − | 0.708871i | −0.997707 | − | 0.0676794i | \(-0.978440\pi\) |
0.767381 | − | 0.641191i | \(-0.221560\pi\) | |||||||
\(422\) | −3.39738 | − | 8.99042i | −0.165382 | − | 0.437647i | ||||
\(423\) | −20.1877 | − | 4.83707i | −0.981557 | − | 0.235187i | ||||
\(424\) | −13.4257 | + | 1.91147i | −0.652010 | + | 0.0928291i | ||||
\(425\) | 13.5586 | + | 11.8404i | 0.657686 | + | 0.574346i | ||||
\(426\) | −6.14260 | − | 24.7031i | −0.297610 | − | 1.19687i | ||||
\(427\) | 14.1492 | − | 19.4747i | 0.684729 | − | 0.942448i | ||||
\(428\) | −11.8444 | − | 27.3681i | −0.572520 | − | 1.32289i | ||||
\(429\) | 19.2353 | + | 34.3291i | 0.928689 | + | 1.65742i | ||||
\(430\) | 10.8954 | − | 10.9472i | 0.525421 | − | 0.527920i | ||||
\(431\) | −6.98814 | + | 21.5073i | −0.336607 | + | 1.03597i | 0.629318 | + | 0.777148i | \(0.283334\pi\) |
−0.965925 | + | 0.258822i | \(0.916666\pi\) | |||||||
\(432\) | −14.8011 | + | 14.5920i | −0.712119 | + | 0.702059i | ||||
\(433\) | 0.215800 | − | 0.664163i | 0.0103707 | − | 0.0319176i | −0.945737 | − | 0.324932i | \(-0.894658\pi\) |
0.956108 | + | 0.293015i | \(0.0946585\pi\) | |||||||
\(434\) | −2.08458 | − | 2.60188i | −0.100063 | − | 0.124894i | ||||
\(435\) | 12.1361 | − | 8.71998i | 0.581883 | − | 0.418091i | ||||
\(436\) | 0.679194 | + | 0.401642i | 0.0325275 | + | 0.0192352i | ||||
\(437\) | 3.24013 | + | 4.45966i | 0.154997 | + | 0.213334i | ||||
\(438\) | 8.01236 | + | 6.73179i | 0.382845 | + | 0.321658i | ||||
\(439\) | 7.33583 | − | 10.0969i | 0.350120 | − | 0.481899i | −0.597243 | − | 0.802060i | \(-0.703737\pi\) |
0.947363 | + | 0.320161i | \(0.103737\pi\) | |||||||
\(440\) | −28.9783 | + | 18.4882i | −1.38149 | + | 0.881389i | ||||
\(441\) | −1.80569 | + | 2.94958i | −0.0859852 | + | 0.140456i | ||||
\(442\) | 5.61567 | − | 20.5288i | 0.267110 | − | 0.976456i | ||||
\(443\) | −3.23949 | −0.153913 | −0.0769564 | − | 0.997034i | \(-0.524520\pi\) | ||||
−0.0769564 | + | 0.997034i | \(0.524520\pi\) | |||||||
\(444\) | −0.441936 | + | 18.9608i | −0.0209734 | + | 0.899839i | ||||
\(445\) | −18.2315 | − | 19.9416i | −0.864255 | − | 0.945321i | ||||
\(446\) | −10.9708 | − | 29.0319i | −0.519483 | − | 1.37470i | ||||
\(447\) | −16.4709 | + | 9.22902i | −0.779049 | + | 0.436517i | ||||
\(448\) | −6.55093 | + | 18.2018i | −0.309502 | + | 0.859955i | ||||
\(449\) | − | 2.23326i | − | 0.105394i | −0.998611 | − | 0.0526971i | \(-0.983218\pi\) | ||
0.998611 | − | 0.0526971i | \(-0.0167818\pi\) | |||||||
\(450\) | 0.776038 | + | 21.1990i | 0.0365828 | + | 0.999331i | ||||
\(451\) | − | 9.80011i | − | 0.461469i | ||||||
\(452\) | −1.70694 | + | 2.88650i | −0.0802876 | + | 0.135770i | ||||
\(453\) | −23.6528 | + | 13.2532i | −1.11131 | + | 0.622688i | ||||
\(454\) | −18.9765 | + | 7.17099i | −0.890610 | + | 0.336551i | ||||
\(455\) | 20.5780 | − | 9.34971i | 0.964710 | − | 0.438321i | ||||
\(456\) | 0.863057 | + | 36.1991i | 0.0404163 | + | 1.69518i | ||||
\(457\) | 16.6767 | 0.780103 | 0.390051 | − | 0.920793i | \(-0.372457\pi\) | ||||
0.390051 | + | 0.920793i | \(0.372457\pi\) | |||||||
\(458\) | 31.1436 | + | 8.51934i | 1.45524 | + | 0.398083i | ||||
\(459\) | −17.5551 | − | 6.46304i | −0.819402 | − | 0.301669i | ||||
\(460\) | 3.04314 | + | 1.36528i | 0.141887 | + | 0.0636567i | ||||
\(461\) | −18.0344 | + | 24.8222i | −0.839946 | + | 1.15609i | 0.146044 | + | 0.989278i | \(0.453346\pi\) |
−0.985989 | + | 0.166808i | \(0.946654\pi\) | |||||||
\(462\) | 20.7081 | − | 24.6473i | 0.963429 | − | 1.14670i | ||||
\(463\) | 11.9903 | + | 16.5033i | 0.557238 | + | 0.766972i | 0.990972 | − | 0.134069i | \(-0.0428042\pi\) |
−0.433734 | + | 0.901041i | \(0.642804\pi\) | |||||||
\(464\) | 6.57057 | − | 13.9657i | 0.305031 | − | 0.648340i | ||||
\(465\) | −3.77581 | − | 0.0199179i | −0.175099 | − | 0.000923671i | ||||
\(466\) | 15.7402 | − | 12.6108i | 0.729153 | − | 0.584182i | ||||
\(467\) | −8.04361 | + | 24.7557i | −0.372214 | + | 1.14556i | 0.573126 | + | 0.819468i | \(0.305731\pi\) |
−0.945339 | + | 0.326088i | \(0.894269\pi\) | |||||||
\(468\) | 22.1602 | − | 11.7469i | 1.02436 | − | 0.543000i | ||||
\(469\) | −1.19762 | + | 3.68590i | −0.0553010 | + | 0.170199i | ||||
\(470\) | −9.88793 | + | 19.5205i | −0.456096 | + | 0.900413i | ||||
\(471\) | 2.14646 | + | 3.83077i | 0.0989036 | + | 0.176512i | ||||
\(472\) | 23.3097 | − | 11.4208i | 1.07292 | − | 0.525685i | ||||
\(473\) | −15.6029 | + | 21.4755i | −0.717422 | + | 0.987446i | ||||
\(474\) | 21.0826 | − | 5.24234i | 0.968356 | − | 0.240789i | ||||
\(475\) | 27.8359 | + | 24.3086i | 1.27720 | + | 1.11536i | ||||
\(476\) | −17.3338 | + | 1.63913i | −0.794493 | + | 0.0751294i | ||||
\(477\) | 3.35155 | − | 13.9878i | 0.153457 | − | 0.640457i | ||||
\(478\) | −15.9774 | + | 6.03769i | −0.730792 | + | 0.276158i | ||||
\(479\) | 3.27797 | + | 10.0886i | 0.149774 | + | 0.460958i | 0.997594 | − | 0.0693268i | \(-0.0220851\pi\) |
−0.847820 | + | 0.530284i | \(0.822085\pi\) | |||||||
\(480\) | 11.3503 | + | 18.7396i | 0.518067 | + | 0.855340i | ||||
\(481\) | 7.07232 | − | 21.7664i | 0.322470 | − | 0.992461i | ||||
\(482\) | −1.50764 | − | 31.9576i | −0.0686709 | − | 1.45563i | ||||
\(483\) | −3.10209 | − | 0.366453i | −0.141150 | − | 0.0166742i | ||||
\(484\) | 27.8115 | − | 24.5209i | 1.26416 | − | 1.11458i | ||||
\(485\) | 0.602887 | − | 0.0679970i | 0.0273757 | − | 0.00308758i | ||||
\(486\) | −8.61917 | − | 20.2906i | −0.390974 | − | 0.920402i | ||||
\(487\) | 17.0030 | + | 23.4026i | 0.770480 | + | 1.06047i | 0.996269 | + | 0.0862987i | \(0.0275040\pi\) |
−0.225789 | + | 0.974176i | \(0.572496\pi\) | |||||||
\(488\) | −19.5958 | − | 20.2192i | −0.887060 | − | 0.915280i | ||||
\(489\) | −5.05657 | + | 10.9750i | −0.228666 | + | 0.496307i | ||||
\(490\) | 2.58385 | + | 2.57162i | 0.116726 | + | 0.116174i | ||||
\(491\) | 0.524845 | − | 0.381322i | 0.0236859 | − | 0.0172088i | −0.575879 | − | 0.817535i | \(-0.695340\pi\) |
0.599565 | + | 0.800326i | \(0.295340\pi\) | |||||||
\(492\) | −6.24463 | − | 0.145549i | −0.281530 | − | 0.00656187i | ||||
\(493\) | 13.8914 | 0.625635 | ||||||||
\(494\) | 11.5291 | − | 42.1460i | 0.518717 | − | 1.89624i | ||||
\(495\) | −6.93205 | − | 35.7938i | −0.311573 | − | 1.60881i | ||||
\(496\) | −3.41720 | + | 1.87893i | −0.153437 | + | 0.0843664i | ||||
\(497\) | 23.8992 | − | 7.76533i | 1.07203 | − | 0.348323i | ||||
\(498\) | −7.99769 | + | 19.7590i | −0.358385 | + | 0.885423i | ||||
\(499\) | 10.1823i | 0.455824i | 0.973682 | + | 0.227912i | \(0.0731899\pi\) | ||||
−0.973682 | + | 0.227912i | \(0.926810\pi\) | |||||||
\(500\) | 21.9277 | + | 4.37889i | 0.980638 | + | 0.195830i | ||||
\(501\) | −16.7221 | + | 3.33012i | −0.747088 | + | 0.148779i | ||||
\(502\) | −17.4444 | + | 26.5576i | −0.778582 | + | 1.18532i | ||||
\(503\) | −2.00477 | − | 6.17005i | −0.0893883 | − | 0.275109i | 0.896362 | − | 0.443322i | \(-0.146200\pi\) |
−0.985751 | + | 0.168213i | \(0.946200\pi\) | |||||||
\(504\) | −15.3977 | − | 13.5613i | −0.685870 | − | 0.604067i | ||||
\(505\) | 7.16099 | + | 1.46539i | 0.318660 | + | 0.0652090i | ||||
\(506\) | −5.52931 | − | 1.51255i | −0.245808 | − | 0.0672408i | ||||
\(507\) | −7.59994 | + | 1.51349i | −0.337525 | + | 0.0672164i | ||||
\(508\) | −24.8564 | − | 5.55516i | −1.10282 | − | 0.246470i | ||||
\(509\) | −3.27693 | − | 4.51030i | −0.145247 | − | 0.199916i | 0.730195 | − | 0.683239i | \(-0.239429\pi\) |
−0.875442 | + | 0.483324i | \(0.839429\pi\) | |||||||
\(510\) | −10.9127 | + | 16.4241i | −0.483220 | + | 0.727271i | ||||
\(511\) | −6.07231 | + | 8.35781i | −0.268623 | + | 0.369728i | ||||
\(512\) | 19.6566 | + | 11.2079i | 0.868708 | + | 0.495324i | ||||
\(513\) | −36.0409 | − | 13.2687i | −1.59125 | − | 0.585828i | ||||
\(514\) | 17.3514 | + | 11.3973i | 0.765336 | + | 0.502713i | ||||
\(515\) | −3.41972 | − | 30.3206i | −0.150691 | − | 1.33608i | ||||
\(516\) | 13.4525 | + | 10.2611i | 0.592213 | + | 0.451721i | ||||
\(517\) | 11.6216 | − | 35.7676i | 0.511117 | − | 1.57306i | ||||
\(518\) | −18.7021 | + | 0.882291i | −0.821722 | + | 0.0387657i | ||||
\(519\) | 12.5490 | + | 1.48242i | 0.550839 | + | 0.0650711i | ||||
\(520\) | −6.63644 | − | 25.5914i | −0.291027 | − | 1.12225i | ||||
\(521\) | 38.4192 | − | 12.4831i | 1.68317 | − | 0.546896i | 0.697651 | − | 0.716438i | \(-0.254229\pi\) |
0.985523 | + | 0.169542i | \(0.0542288\pi\) | |||||||
\(522\) | 11.2118 | + | 11.9283i | 0.490728 | + | 0.522086i | ||||
\(523\) | 12.6433 | − | 17.4020i | 0.552851 | − | 0.760934i | −0.437545 | − | 0.899197i | \(-0.644152\pi\) |
0.990396 | + | 0.138262i | \(0.0441518\pi\) | |||||||
\(524\) | 16.1323 | − | 1.52552i | 0.704744 | − | 0.0666425i | ||||
\(525\) | −20.8215 | + | 2.23720i | −0.908725 | + | 0.0976392i | ||||
\(526\) | 0.0224480 | + | 0.475834i | 0.000978780 | + | 0.0207474i | ||||
\(527\) | −2.83956 | − | 2.06306i | −0.123693 | − | 0.0898684i | ||||
\(528\) | −24.2375 | − | 28.8168i | −1.05480 | − | 1.25409i | ||||
\(529\) | −6.93550 | − | 21.3453i | −0.301544 | − | 0.928056i | ||||
\(530\) | −13.5255 | − | 6.85123i | −0.587511 | − | 0.297598i | ||||
\(531\) | 2.17240 | + | 27.4460i | 0.0942742 | + | 1.19105i | ||||
\(532\) | −35.5866 | + | 3.36516i | −1.54287 | + | 0.145898i | ||||
\(533\) | 7.16864 | + | 2.32923i | 0.310508 | + | 0.100890i | ||||
\(534\) | 19.0398 | − | 22.6616i | 0.823932 | − | 0.980665i | ||||
\(535\) | 6.68425 | − | 32.6642i | 0.288985 | − | 1.41220i | ||||
\(536\) | 4.00642 | + | 2.12103i | 0.173051 | + | 0.0916144i | ||||
\(537\) | −12.3005 | + | 13.3126i | −0.530806 | + | 0.574480i | ||||
\(538\) | −5.28951 | + | 4.23785i | −0.228047 | + | 0.182707i | ||||
\(539\) | −5.06883 | − | 3.68272i | −0.218330 | − | 0.158626i | ||||
\(540\) | −22.9108 | + | 3.88550i | −0.985922 | + | 0.167205i | ||||
\(541\) | 14.1460 | − | 10.2777i | 0.608185 | − | 0.441873i | −0.240589 | − | 0.970627i | \(-0.577341\pi\) |
0.848775 | + | 0.528754i | \(0.177341\pi\) | |||||||
\(542\) | 0.514694 | − | 1.88153i | 0.0221080 | − | 0.0808187i | ||||
\(543\) | 17.5051 | − | 3.48604i | 0.751214 | − | 0.149600i | ||||
\(544\) | −1.59612 | + | 20.3030i | −0.0684330 | + | 0.870483i | ||||
\(545\) | 0.364930 | + | 0.803182i | 0.0156319 | + | 0.0344045i | ||||
\(546\) | 13.1074 | + | 21.0057i | 0.560944 | + | 0.898962i | ||||
\(547\) | 12.7002 | − | 4.12653i | 0.543020 | − | 0.176438i | −0.0246471 | − | 0.999696i | \(-0.507846\pi\) |
0.567667 | + | 0.823258i | \(0.307846\pi\) | |||||||
\(548\) | −1.16096 | + | 1.96322i | −0.0495936 | + | 0.0838647i | ||||
\(549\) | 27.5865 | − | 11.4412i | 1.17736 | − | 0.488296i | ||||
\(550\) | −38.3965 | − | 1.62885i | −1.63723 | − | 0.0694543i | ||||
\(551\) | 28.5192 | 1.21496 | ||||||||
\(552\) | −1.04591 | + | 3.50081i | −0.0445171 | + | 0.149005i | ||||
\(553\) | 6.62724 | + | 20.3965i | 0.281819 | + | 0.867349i | ||||
\(554\) | −27.1536 | + | 10.2610i | −1.15365 | + | 0.435950i | ||||
\(555\) | −12.5541 | + | 17.0889i | −0.532890 | + | 0.725382i | ||||
\(556\) | 14.9947 | + | 3.35117i | 0.635917 | + | 0.142121i | ||||
\(557\) | 6.72945i | 0.285136i | 0.989785 | + | 0.142568i | \(0.0455360\pi\) | ||||
−0.989785 | + | 0.142568i | \(0.954464\pi\) | |||||||
\(558\) | −0.520317 | − | 4.10339i | −0.0220268 | − | 0.173711i | ||||
\(559\) | −12.0006 | − | 16.5175i | −0.507573 | − | 0.698614i | ||||
\(560\) | −17.6649 | + | 12.4791i | −0.746476 | + | 0.527340i | ||||
\(561\) | 14.1818 | − | 30.7808i | 0.598755 | − | 1.29956i | ||||
\(562\) | −34.1722 | + | 27.3781i | −1.44147 | + | 1.15488i | ||||
\(563\) | 8.99572 | − | 6.53577i | 0.379124 | − | 0.275450i | −0.381860 | − | 0.924220i | \(-0.624716\pi\) |
0.760984 | + | 0.648770i | \(0.224716\pi\) | |||||||
\(564\) | −22.6185 | − | 7.93649i | −0.952411 | − | 0.334187i | ||||
\(565\) | −3.41344 | + | 1.55091i | −0.143604 | + | 0.0652475i | ||||
\(566\) | 20.1560 | − | 16.1485i | 0.847218 | − | 0.678774i | ||||
\(567\) | 19.3820 | − | 9.89750i | 0.813968 | − | 0.415656i | ||||
\(568\) | −4.14306 | − | 29.0999i | −0.173839 | − | 1.22100i | ||||
\(569\) | −9.78313 | − | 3.17873i | −0.410130 | − | 0.133259i | 0.0966832 | − | 0.995315i | \(-0.469177\pi\) |
−0.506813 | + | 0.862056i | \(0.669177\pi\) | |||||||
\(570\) | −22.4038 | + | 33.7189i | −0.938394 | + | 1.41233i | ||||
\(571\) | 44.4449 | − | 14.4410i | 1.85996 | − | 0.604338i | 0.865286 | − | 0.501279i | \(-0.167137\pi\) |
0.994675 | − | 0.103059i | \(-0.0328630\pi\) | |||||||
\(572\) | 18.0472 | + | 41.7006i | 0.754591 | + | 1.74359i | ||||
\(573\) | 3.82502 | + | 1.76232i | 0.159793 | + | 0.0736221i | ||||
\(574\) | −0.290578 | − | 6.15943i | −0.0121285 | − | 0.257090i | ||||
\(575\) | 1.91334 | + | 3.20078i | 0.0797919 | + | 0.133482i | ||||
\(576\) | −18.7221 | + | 15.0161i | −0.780086 | + | 0.625673i | ||||
\(577\) | 37.2787 | + | 27.0846i | 1.55193 | + | 1.12755i | 0.942254 | + | 0.334899i | \(0.108702\pi\) |
0.609681 | + | 0.792647i | \(0.291298\pi\) | |||||||
\(578\) | 5.34295 | − | 2.01904i | 0.222237 | − | 0.0839809i | ||||
\(579\) | 8.53506 | + | 15.2325i | 0.354705 | + | 0.633039i | ||||
\(580\) | 14.9685 | − | 8.58537i | 0.621534 | − | 0.356488i | ||||
\(581\) | −20.0131 | − | 6.50267i | −0.830285 | − | 0.269776i | ||||
\(582\) | 0.160378 | + | 0.644977i | 0.00664789 | + | 0.0267351i | ||||
\(583\) | 24.7829 | + | 8.05246i | 1.02640 | + | 0.333499i | ||||
\(584\) | 8.40977 | + | 8.67731i | 0.347999 | + | 0.359070i | ||||
\(585\) | 27.8302 | + | 3.43656i | 1.15064 | + | 0.142084i | ||||
\(586\) | −0.802478 | − | 0.527110i | −0.0331501 | − | 0.0217747i | ||||
\(587\) | −1.58889 | + | 1.15440i | −0.0655807 | + | 0.0476472i | −0.620093 | − | 0.784529i | \(-0.712905\pi\) |
0.554512 | + | 0.832176i | \(0.312905\pi\) | |||||||
\(588\) | −2.42191 | + | 3.17517i | −0.0998781 | + | 0.130942i | ||||
\(589\) | −5.82966 | − | 4.23550i | −0.240207 | − | 0.174521i | ||||
\(590\) | 28.6745 | + | 4.47188i | 1.18051 | + | 0.184104i | ||||
\(591\) | 12.4241 | + | 11.4796i | 0.511059 | + | 0.472206i | ||||
\(592\) | −2.74330 | + | 21.7275i | −0.112749 | + | 0.892994i | ||||
\(593\) | − | 12.7427i | − | 0.523281i | −0.965165 | − | 0.261640i | \(-0.915737\pi\) | ||
0.965165 | − | 0.261640i | \(-0.0842634\pi\) | |||||||
\(594\) | 37.8771 | − | 12.6658i | 1.55412 | − | 0.519682i | ||||
\(595\) | −16.9316 | − | 9.60486i | −0.694130 | − | 0.393761i | ||||
\(596\) | −20.0078 | + | 8.65896i | −0.819551 | + | 0.354685i | ||||
\(597\) | −5.11922 | + | 2.86841i | −0.209516 | + | 0.117396i | ||||
\(598\) | 2.42058 | − | 3.68512i | 0.0989848 | − | 0.150696i | ||||
\(599\) | −0.602742 | −0.0246274 | −0.0123137 | − | 0.999924i | \(-0.503920\pi\) | ||||
−0.0123137 | + | 0.999924i | \(0.503920\pi\) | |||||||
\(600\) | −1.60816 | + | 24.4421i | −0.0656528 | + | 0.997843i | ||||
\(601\) | −22.6790 | −0.925095 | −0.462547 | − | 0.886595i | \(-0.653065\pi\) | ||||
−0.462547 | + | 0.886595i | \(0.653065\pi\) | |||||||
\(602\) | −9.16976 | + | 13.9601i | −0.373731 | + | 0.568973i | ||||
\(603\) | −3.65480 | + | 3.12432i | −0.148835 | + | 0.127232i | ||||
\(604\) | −28.7318 | + | 12.4345i | −1.16908 | + | 0.505955i | ||||
\(605\) | 41.1929 | − | 4.64596i | 1.67473 | − | 0.188885i | ||||
\(606\) | −0.563588 | + | 7.98717i | −0.0228942 | + | 0.324457i | ||||
\(607\) | 21.0500i | 0.854394i | 0.904159 | + | 0.427197i | \(0.140499\pi\) | ||||
−0.904159 | + | 0.427197i | \(0.859501\pi\) | |||||||
\(608\) | −3.27685 | + | 41.6823i | −0.132894 | + | 1.69044i | ||||
\(609\) | −10.9671 | + | 11.8695i | −0.444411 | + | 0.480977i | ||||
\(610\) | −4.99837 | − | 31.0810i | −0.202378 | − | 1.25843i | ||||
\(611\) | 23.4013 | + | 17.0020i | 0.946716 | + | 0.687829i | ||||
\(612\) | −19.4029 | − | 9.49378i | −0.784315 | − | 0.383763i | ||||
\(613\) | −19.0024 | + | 13.8061i | −0.767501 | + | 0.557622i | −0.901202 | − | 0.433400i | \(-0.857314\pi\) |
0.133701 | + | 0.991022i | \(0.457314\pi\) | |||||||
\(614\) | 13.9620 | + | 9.17098i | 0.563461 | + | 0.370111i | ||||
\(615\) | −5.62813 | − | 4.13461i | −0.226948 | − | 0.166723i | ||||
\(616\) | 26.6928 | − | 25.8698i | 1.07548 | − | 1.04233i | ||||
\(617\) | −44.0518 | − | 14.3133i | −1.77346 | − | 0.576232i | −0.775014 | − | 0.631945i | \(-0.782257\pi\) |
−0.998447 | + | 0.0557124i | \(0.982257\pi\) | |||||||
\(618\) | 32.4373 | − | 8.06578i | 1.30482 | − | 0.324453i | ||||
\(619\) | −36.4948 | − | 11.8579i | −1.46685 | − | 0.476609i | −0.536696 | − | 0.843775i | \(-0.680328\pi\) |
−0.930155 | + | 0.367166i | \(0.880328\pi\) | |||||||
\(620\) | −4.33479 | − | 0.468084i | −0.174089 | − | 0.0187987i | ||||
\(621\) | −3.04499 | − | 2.39716i | −0.122191 | − | 0.0961948i | ||||
\(622\) | 41.3314 | − | 15.6187i | 1.65724 | − | 0.626251i | ||||
\(623\) | 23.6387 | + | 17.1745i | 0.947065 | + | 0.688083i | ||||
\(624\) | 26.8397 | − | 10.8803i | 1.07445 | − | 0.435562i | ||||
\(625\) | 17.2846 | + | 18.0622i | 0.691384 | + | 0.722488i | ||||
\(626\) | 1.98506 | + | 42.0778i | 0.0793391 | + | 1.68177i | ||||
\(627\) | 29.1154 | − | 63.1934i | 1.16276 | − | 2.52370i | ||||
\(628\) | 2.01388 | + | 4.65335i | 0.0803624 | + | 0.185689i | ||||
\(629\) | −18.7462 | + | 6.09101i | −0.747459 | + | 0.242864i | ||||
\(630\) | −5.41814 | − | 22.2911i | −0.215864 | − | 0.888098i | ||||
\(631\) | −31.8850 | − | 10.3601i | −1.26932 | − | 0.412428i | −0.404515 | − | 0.914532i | \(-0.632559\pi\) |
−0.864807 | + | 0.502104i | \(0.832559\pi\) | |||||||
\(632\) | 24.8350 | − | 3.53585i | 0.987882 | − | 0.140649i | ||||
\(633\) | 11.6896 | + | 1.38091i | 0.464622 | + | 0.0548862i | ||||
\(634\) | −26.4601 | + | 21.1993i | −1.05087 | + | 0.841932i | ||||
\(635\) | −19.2141 | − | 21.0164i | −0.762490 | − | 0.834011i | ||||
\(636\) | 5.49910 | − | 15.6721i | 0.218054 | − | 0.621439i | ||||
\(637\) | 3.89859 | − | 2.83249i | 0.154468 | − | 0.112227i | ||||
\(638\) | −23.1452 | + | 18.5435i | −0.916329 | + | 0.734144i | ||||
\(639\) | 30.3182 | + | 7.26440i | 1.19937 | + | 0.287375i | ||||
\(640\) | 10.8281 | + | 22.8638i | 0.428018 | + | 0.903770i | ||||
\(641\) | −6.72843 | − | 9.26089i | −0.265757 | − | 0.365783i | 0.655195 | − | 0.755460i | \(-0.272587\pi\) |
−0.920952 | + | 0.389677i | \(0.872587\pi\) | |||||||
\(642\) | 36.4328 | + | 2.57076i | 1.43789 | + | 0.101460i | ||||
\(643\) | − | 38.8672i | − | 1.53277i | −0.642380 | − | 0.766386i | \(-0.722053\pi\) | ||
0.642380 | − | 0.766386i | \(-0.277947\pi\) | |||||||
\(644\) | −3.52005 | − | 0.786697i | −0.138709 | − | 0.0310002i | ||||
\(645\) | 5.75047 | + | 18.0210i | 0.226424 | + | 0.709577i | ||||
\(646\) | −35.2020 | + | 13.3024i | −1.38501 | + | 0.523377i | ||||
\(647\) | −8.24548 | − | 25.3770i | −0.324163 | − | 0.997672i | −0.971817 | − | 0.235737i | \(-0.924250\pi\) |
0.647653 | − | 0.761935i | \(-0.275750\pi\) | |||||||
\(648\) | −7.50808 | − | 24.3234i | −0.294945 | − | 0.955514i | ||||
\(649\) | −49.8781 | −1.95789 | ||||||||
\(650\) | 10.3173 | − | 27.6993i | 0.404679 | − | 1.08646i | ||||
\(651\) | 4.00461 | − | 0.797497i | 0.156953 | − | 0.0312564i | ||||
\(652\) | −7.10237 | + | 12.0104i | −0.278150 | + | 0.470363i | ||||
\(653\) | −0.217176 | + | 0.0705647i | −0.00849874 | + | 0.00276141i | −0.313263 | − | 0.949666i | \(-0.601422\pi\) |
0.304765 | + | 0.952428i | \(0.401422\pi\) | |||||||
\(654\) | −0.819878 | + | 0.511597i | −0.0320598 | + | 0.0200050i | ||||
\(655\) | 15.7581 | + | 8.93911i | 0.615718 | + | 0.349280i | ||||
\(656\) | −7.15583 | − | 0.903490i | −0.279388 | − | 0.0352753i | ||||
\(657\) | −11.8391 | + | 4.91011i | −0.461886 | + | 0.191561i | ||||
\(658\) | 6.24372 | − | 22.8247i | 0.243405 | − | 0.889801i | ||||
\(659\) | −11.8586 | + | 8.61580i | −0.461947 | + | 0.335624i | −0.794294 | − | 0.607533i | \(-0.792159\pi\) |
0.332348 | + | 0.943157i | \(0.392159\pi\) | |||||||
\(660\) | −3.74217 | − | 41.9324i | −0.145664 | − | 1.63222i | ||||
\(661\) | −1.50206 | − | 1.09131i | −0.0584234 | − | 0.0424471i | 0.558190 | − | 0.829713i | \(-0.311496\pi\) |
−0.616614 | + | 0.787266i | \(0.711496\pi\) | |||||||
\(662\) | 19.7058 | − | 15.7879i | 0.765888 | − | 0.613613i | ||||
\(663\) | 19.1450 | + | 17.6895i | 0.743531 | + | 0.687005i | ||||
\(664\) | −11.5164 | + | 21.7535i | −0.446925 | + | 0.844199i | ||||
\(665\) | −34.7609 | − | 19.7189i | −1.34797 | − | 0.764667i | ||||
\(666\) | −20.3604 | − | 11.1809i | −0.788951 | − | 0.433252i | ||||
\(667\) | 2.73689 | + | 0.889269i | 0.105973 | + | 0.0344326i | ||||
\(668\) | −19.6007 | + | 1.85350i | −0.758375 | + | 0.0717140i | ||||
\(669\) | 37.7482 | + | 4.45923i | 1.45943 | + | 0.172404i | ||||
\(670\) | 2.31167 | + | 4.51042i | 0.0893076 | + | 0.174253i | ||||
\(671\) | 16.7193 | + | 51.4568i | 0.645443 | + | 1.98647i | ||||
\(672\) | −16.0878 | − | 17.3929i | −0.620602 | − | 0.670946i | ||||
\(673\) | 25.0890 | + | 18.2282i | 0.967109 | + | 0.702646i | 0.954791 | − | 0.297278i | \(-0.0960789\pi\) |
0.0123182 | + | 0.999924i | \(0.496079\pi\) | |||||||
\(674\) | 0.238172 | + | 5.04858i | 0.00917405 | + | 0.194464i | ||||
\(675\) | −23.4807 | − | 11.1202i | −0.903772 | − | 0.428015i | ||||
\(676\) | −8.90824 | + | 0.842386i | −0.342624 | + | 0.0323995i | ||||
\(677\) | −10.4554 | + | 14.3906i | −0.401834 | + | 0.553078i | −0.961203 | − | 0.275841i | \(-0.911044\pi\) |
0.559369 | + | 0.828919i | \(0.311044\pi\) | |||||||
\(678\) | −2.17423 | − | 3.48439i | −0.0835008 | − | 0.133817i | ||||
\(679\) | −0.623988 | + | 0.202746i | −0.0239465 | + | 0.00778068i | ||||
\(680\) | −14.4715 | + | 17.5791i | −0.554958 | + | 0.674126i | ||||
\(681\) | 2.91474 | − | 24.6739i | 0.111693 | − | 0.945504i | ||||
\(682\) | 7.48513 | − | 0.353119i | 0.286621 | − | 0.0135216i | ||||
\(683\) | −4.64662 | + | 14.3008i | −0.177798 | + | 0.547206i | −0.999750 | − | 0.0223507i | \(-0.992885\pi\) |
0.821952 | + | 0.569556i | \(0.192885\pi\) | |||||||
\(684\) | −39.8344 | − | 19.4909i | −1.52311 | − | 0.745252i | ||||
\(685\) | −2.32161 | + | 1.05484i | −0.0887043 | + | 0.0403033i | ||||
\(686\) | −23.3027 | − | 15.3065i | −0.889702 | − | 0.584403i | ||||
\(687\) | −26.8362 | + | 29.0443i | −1.02387 | + | 1.10811i | ||||
\(688\) | 14.2425 | + | 13.3728i | 0.542991 | + | 0.509832i | ||||
\(689\) | −11.7805 | + | 16.2145i | −0.448802 | + | 0.617723i | ||||
\(690\) | −3.20143 | + | 2.53730i | −0.121876 | + | 0.0965935i | ||||
\(691\) | 26.2548 | + | 36.1366i | 0.998778 | + | 1.37470i | 0.926072 | + | 0.377347i | \(0.123163\pi\) |
0.0727060 | + | 0.997353i | \(0.476837\pi\) | |||||||
\(692\) | 14.2398 | + | 3.18245i | 0.541315 | + | 0.120979i | ||||
\(693\) | 15.1043 | + | 36.4189i | 0.573765 | + | 1.38344i | ||||
\(694\) | 21.4941 | + | 5.87972i | 0.815904 | + | 0.223191i | ||||
\(695\) | 11.5910 | + | 12.6782i | 0.439672 | + | 0.480913i | ||||
\(696\) | 11.4722 | + | 15.0236i | 0.434852 | + | 0.569467i | ||||
\(697\) | −2.00604 | − | 6.17395i | −0.0759842 | − | 0.233855i | ||||
\(698\) | 9.39190 | − | 14.2983i | 0.355489 | − | 0.541200i | ||||
\(699\) | 4.82451 | + | 24.2261i | 0.182480 | + | 0.916315i | ||||
\(700\) | −24.1807 | + | 0.114732i | −0.913945 | + | 0.00433648i | ||||
\(701\) | − | 30.8431i | − | 1.16493i | −0.812857 | − | 0.582464i | \(-0.802089\pi\) | ||
0.812857 | − | 0.582464i | \(-0.197911\pi\) | |||||||
\(702\) | 0.262406 | + | 30.7169i | 0.00990386 | + | 1.15933i | ||||
\(703\) | −38.4862 | + | 12.5049i | −1.45153 | + | 0.471632i | ||||
\(704\) | −24.4429 | − | 35.9587i | −0.921228 | − | 1.35524i | ||||
\(705\) | −15.6380 | − | 21.7643i | −0.588960 | − | 0.819692i | ||||
\(706\) | −4.77994 | + | 17.4737i | −0.179895 | + | 0.657631i | ||||
\(707\) | −7.90442 | −0.297276 | ||||||||
\(708\) | −0.740780 | + | 31.7823i | −0.0278402 | + | 1.19445i | ||||
\(709\) | 34.4186 | − | 25.0066i | 1.29262 | − | 0.939142i | 0.292764 | − | 0.956185i | \(-0.405425\pi\) |
0.999855 | + | 0.0170424i | \(0.00542503\pi\) | |||||||
\(710\) | 14.8499 | − | 29.3162i | 0.557305 | − | 1.10022i | ||||
\(711\) | −6.19972 | + | 25.8747i | −0.232508 | + | 0.970377i | ||||
\(712\) | 24.5424 | − | 23.7857i | 0.919764 | − | 0.891405i | ||||
\(713\) | −0.427384 | − | 0.588244i | −0.0160057 | − | 0.0220299i | ||||
\(714\) | 8.00067 | − | 19.7664i | 0.299417 | − | 0.739739i | ||||
\(715\) | −10.1847 | + | 49.7702i | −0.380888 | + | 1.86130i | ||||
\(716\) | −15.6988 | + | 13.8413i | −0.586693 | + | 0.517275i | ||||
\(717\) | 2.45410 | − | 20.7744i | 0.0916501 | − | 0.775835i | ||||
\(718\) | −0.904982 | − | 19.1831i | −0.0337736 | − | 0.715905i | ||||
\(719\) | −2.73582 | + | 8.42000i | −0.102029 | + | 0.314013i | −0.989022 | − | 0.147771i | \(-0.952790\pi\) |
0.886993 | + | 0.461784i | \(0.152790\pi\) | |||||||
\(720\) | −26.7749 | + | 1.76174i | −0.997842 | + | 0.0656562i | ||||
\(721\) | 10.1966 | + | 31.3818i | 0.379740 | + | 1.16872i | ||||
\(722\) | −47.1351 | + | 17.8118i | −1.75419 | + | 0.662886i | ||||
\(723\) | 35.5879 | + | 16.3966i | 1.32353 | + | 0.609795i | ||||
\(724\) | 20.5185 | − | 1.94028i | 0.762563 | − | 0.0721100i | ||||
\(725\) | 19.2154 | + | 1.72511i | 0.713641 | + | 0.0640689i | ||||
\(726\) | 10.9580 | + | 44.0687i | 0.406690 | + | 1.63554i | ||||
\(727\) | 17.8430 | − | 24.5588i | 0.661760 | − | 0.910834i | −0.337778 | − | 0.941226i | \(-0.609675\pi\) |
0.999538 | + | 0.0303914i | \(0.00967537\pi\) | |||||||
\(728\) | 12.5792 | + | 25.6740i | 0.466217 | + | 0.951542i | ||||
\(729\) | 26.9196 | + | 2.08226i | 0.997022 | + | 0.0771206i | ||||
\(730\) | 2.14511 | + | 13.3388i | 0.0793940 | + | 0.493691i | ||||
\(731\) | −5.43369 | + | 16.7232i | −0.200972 | + | 0.618529i | ||||
\(732\) | 33.0366 | − | 9.88934i | 1.22107 | − | 0.365520i | ||||
\(733\) | 13.2918 | − | 40.9078i | 0.490942 | − | 1.51096i | −0.332245 | − | 0.943193i | \(-0.607806\pi\) |
0.823187 | − | 0.567771i | \(-0.192194\pi\) | |||||||
\(734\) | 37.6080 | − | 30.1308i | 1.38814 | − | 1.11215i | ||||
\(735\) | −4.25347 | + | 1.35727i | −0.156892 | + | 0.0500637i | ||||
\(736\) | −1.61418 | + | 3.89794i | −0.0594996 | + | 0.143680i | ||||
\(737\) | −5.12010 | − | 7.04721i | −0.188601 | − | 0.259587i | ||||
\(738\) | 3.68238 | − | 6.70560i | 0.135550 | − | 0.246836i | ||||
\(739\) | 0.374176 | − | 0.515009i | 0.0137643 | − | 0.0189449i | −0.802079 | − | 0.597217i | \(-0.796273\pi\) |
0.815844 | + | 0.578273i | \(0.196273\pi\) | |||||||
\(740\) | −16.4353 | + | 18.1491i | −0.604175 | + | 0.667176i | ||||
\(741\) | 39.3050 | + | 36.3169i | 1.44391 | + | 1.33413i | ||||
\(742\) | 15.8150 | + | 4.32620i | 0.580586 | + | 0.158820i | ||||
\(743\) | 37.5772 | 1.37857 | 0.689286 | − | 0.724489i | \(-0.257924\pi\) | ||||
0.689286 | + | 0.724489i | \(0.257924\pi\) | |||||||
\(744\) | −0.113840 | − | 4.77477i | −0.00417358 | − | 0.175052i | ||||
\(745\) | −23.8795 | − | 4.88659i | −0.874879 | − | 0.179031i | ||||
\(746\) | 24.8557 | − | 9.39266i | 0.910030 | − | 0.343890i | ||||
\(747\) | −16.9640 | − | 19.8443i | −0.620680 | − | 0.726065i | ||||
\(748\) | 19.9194 | − | 33.6846i | 0.728327 | − | 1.23163i | ||||
\(749\) | 36.0553i | 1.31743i | ||||||||
\(750\) | −17.1347 | + | 21.3636i | −0.625670 | + | 0.780088i | ||||
\(751\) | 8.32794i | 0.303891i | 0.988389 | + | 0.151945i | \(0.0485538\pi\) | ||||
−0.988389 | + | 0.151945i | \(0.951446\pi\) | |||||||
\(752\) | −25.0453 | − | 11.7833i | −0.913308 | − | 0.429693i | ||||
\(753\) | −19.0225 | − | 33.9494i | −0.693220 | − | 1.23718i | ||||
\(754\) | −8.06327 | − | 21.3377i | −0.293647 | − | 0.777074i | ||||
\(755\) | −34.2918 | − | 7.01731i | −1.24801 | − | 0.255386i | ||||
\(756\) | 23.4305 | − | 9.08358i | 0.852157 | − | 0.330366i | ||||
\(757\) | −11.8344 | −0.430130 | −0.215065 | − | 0.976600i | \(-0.568996\pi\) | ||||
−0.215065 | + | 0.976600i | \(0.568996\pi\) | |||||||
\(758\) | 1.67466 | − | 6.12193i | 0.0608263 | − | 0.222358i | ||||
\(759\) | 4.76457 | − | 5.15659i | 0.172943 | − | 0.187173i | ||||
\(760\) | −29.7103 | + | 36.0901i | −1.07771 | + | 1.30912i | ||||
\(761\) | −27.2659 | + | 37.5283i | −0.988389 | + | 1.36040i | −0.0562042 | + | 0.998419i | \(0.517900\pi\) |
−0.932185 | + | 0.361982i | \(0.882100\pi\) | |||||||
\(762\) | 20.0660 | − | 23.8831i | 0.726915 | − | 0.865194i | ||||
\(763\) | −0.560757 | − | 0.771815i | −0.0203008 | − | 0.0279416i | ||||
\(764\) | 4.18587 | + | 2.47532i | 0.151440 | + | 0.0895541i | ||||
\(765\) | −11.6939 | − | 21.1307i | −0.422795 | − | 0.763982i | ||||
\(766\) | 16.8299 | + | 21.0064i | 0.608089 | + | 0.758992i | ||||
\(767\) | 11.8547 | − | 36.4851i | 0.428049 | − | 1.31740i | ||||
\(768\) | −23.2759 | + | 15.0410i | −0.839897 | + | 0.542745i | ||||
\(769\) | −9.91574 | + | 30.5175i | −0.357571 | + | 1.10049i | 0.596933 | + | 0.802291i | \(0.296386\pi\) |
−0.954504 | + | 0.298198i | \(0.903614\pi\) | |||||||
\(770\) | 41.0323 | − | 6.59871i | 1.47870 | − | 0.237801i | ||||
\(771\) | −22.1808 | + | 12.4284i | −0.798822 | + | 0.447597i | ||||
\(772\) | 8.00787 | + | 18.5033i | 0.288210 | + | 0.665950i | ||||
\(773\) | 17.7646 | − | 24.4508i | 0.638947 | − | 0.879435i | −0.359612 | − | 0.933102i | \(-0.617091\pi\) |
0.998559 | + | 0.0536667i | \(0.0170909\pi\) | |||||||
\(774\) | −18.7455 | + | 8.83160i | −0.673792 | + | 0.317445i | ||||
\(775\) | −3.67165 | − | 3.20638i | −0.131890 | − | 0.115177i | ||||
\(776\) | 0.108172 | + | 0.759772i | 0.00388314 | + | 0.0272742i | ||||
\(777\) | 9.59553 | − | 20.8266i | 0.344238 | − | 0.747149i | ||||
\(778\) | 13.0463 | + | 34.5241i | 0.467731 | + | 1.23775i | ||||
\(779\) | −4.11843 | − | 12.6752i | −0.147558 | − | 0.454137i | ||||
\(780\) | 31.5624 | + | 7.22890i | 1.13011 | + | 0.258836i | ||||
\(781\) | −17.4535 | + | 53.7163i | −0.624535 | + | 1.92212i | ||||
\(782\) | −3.79301 | + | 0.178939i | −0.135638 | + | 0.00639886i | ||||
\(783\) | −19.2931 | + | 5.45520i | −0.689479 | + | 0.194953i | ||||
\(784\) | −3.15635 | + | 3.36164i | −0.112727 | + | 0.120058i | ||||
\(785\) | −1.13651 | + | 5.55384i | −0.0405638 | + | 0.198225i | ||||
\(786\) | −7.44611 | + | 18.3963i | −0.265594 | + | 0.656175i | ||||
\(787\) | 17.7915 | + | 24.4879i | 0.634200 | + | 0.872901i | 0.998290 | − | 0.0584629i | \(-0.0186199\pi\) |
−0.364090 | + | 0.931364i | \(0.618620\pi\) | |||||||
\(788\) | 12.9176 | + | 14.6511i | 0.460170 | + | 0.521924i | ||||
\(789\) | −0.529887 | − | 0.244138i | −0.0188645 | − | 0.00869153i | ||||
\(790\) | 25.0196 | + | 12.6734i | 0.890157 | + | 0.450901i | ||||
\(791\) | 3.28013 | − | 2.38316i | 0.116628 | − | 0.0847352i | ||||
\(792\) | 45.0015 | − | 10.0826i | 1.59906 | − | 0.358270i | ||||
\(793\) | −41.6137 | −1.47774 | ||||||||
\(794\) | −28.3145 | − | 7.74545i | −1.00484 | − | 0.274876i | ||||
\(795\) | 15.0802 | − | 10.8354i | 0.534841 | − | 0.384290i | ||||
\(796\) | −6.21848 | + | 2.69123i | −0.220408 | + | 0.0953882i | ||||
\(797\) | 27.2085 | − | 8.84059i | 0.963776 | − | 0.313150i | 0.215475 | − | 0.976509i | \(-0.430870\pi\) |
0.748301 | + | 0.663359i | \(0.230870\pi\) | |||||||
\(798\) | 16.4255 | − | 40.5807i | 0.581456 | − | 1.43654i | ||||
\(799\) | − | 24.9120i | − | 0.881325i | ||||||
\(800\) | −4.72919 | + | 27.8861i | −0.167202 | + | 0.985923i | ||||
\(801\) | 13.8874 | + | 33.4848i | 0.490688 | + | 1.18313i | ||||
\(802\) | −8.12005 | − | 5.33367i | −0.286729 | − | 0.188339i | ||||
\(803\) | −7.17530 | − | 22.0833i | −0.253211 | − | 0.779303i | ||||
\(804\) | −4.56653 | + | 3.15786i | −0.161049 | + | 0.111369i | ||||
\(805\) | −2.72103 | − | 2.97626i | −0.0959035 | − | 0.104899i | ||||
\(806\) | −1.52072 | + | 5.55919i | −0.0535651 | + | 0.195814i | ||||
\(807\) | −1.62128 | − | 8.14119i | −0.0570716 | − | 0.286583i | ||||
\(808\) | −1.58914 | + | 9.10813i | −0.0559057 | + | 0.320423i | ||||
\(809\) | −17.9019 | − | 24.6399i | −0.629398 | − | 0.866292i | 0.368597 | − | 0.929589i | \(-0.379838\pi\) |
−0.997995 | + | 0.0632973i | \(0.979838\pi\) | |||||||
\(810\) | 8.70629 | − | 27.0961i | 0.305908 | − | 0.952061i | ||||
\(811\) | −29.1960 | + | 40.1849i | −1.02521 | + | 1.41108i | −0.116726 | + | 0.993164i | \(0.537240\pi\) |
−0.908485 | + | 0.417918i | \(0.862760\pi\) | |||||||
\(812\) | −13.9971 | + | 12.3410i | −0.491202 | + | 0.433083i | ||||
\(813\) | 1.75470 | + | 1.62130i | 0.0615401 | + | 0.0568616i | ||||
\(814\) | 23.1033 | − | 35.1728i | 0.809771 | − | 1.23280i | ||||
\(815\) | −14.2029 | + | 6.45317i | −0.497506 | + | 0.226045i | ||||
\(816\) | −21.1680 | − | 13.1930i | −0.741028 | − | 0.461846i | ||||
\(817\) | −11.1555 | + | 34.3330i | −0.390280 | + | 1.20116i | ||||
\(818\) | −0.575191 | − | 12.1924i | −0.0201111 | − | 0.426298i | ||||
\(819\) | −30.2298 | + | 2.39275i | −1.05631 | + | 0.0836094i | ||||
\(820\) | −5.97732 | − | 5.41289i | −0.208737 | − | 0.189026i | ||||
\(821\) | 16.7240 | − | 5.43395i | 0.583671 | − | 0.189646i | −0.00227361 | − | 0.999997i | \(-0.500724\pi\) |
0.585944 | + | 0.810351i | \(0.300724\pi\) | |||||||
\(822\) | −1.47878 | − | 2.36987i | −0.0515784 | − | 0.0826588i | ||||
\(823\) | 17.8730 | − | 24.6000i | 0.623012 | − | 0.857503i | −0.374556 | − | 0.927204i | \(-0.622205\pi\) |
0.997568 | + | 0.0697017i | \(0.0222048\pi\) | |||||||
\(824\) | 38.2107 | − | 5.44020i | 1.33113 | − | 0.189518i | ||||
\(825\) | 23.4396 | − | 40.8166i | 0.816063 | − | 1.42105i | ||||
\(826\) | −31.3487 | + | 1.47891i | −1.09076 | + | 0.0514578i | ||||
\(827\) | −22.2028 | − | 16.1313i | −0.772067 | − | 0.560939i | 0.130521 | − | 0.991446i | \(-0.458335\pi\) |
−0.902588 | + | 0.430506i | \(0.858335\pi\) | |||||||
\(828\) | −3.21502 | − | 3.11257i | −0.111730 | − | 0.108169i | ||||
\(829\) | −7.04284 | − | 21.6756i | −0.244608 | − | 0.752826i | −0.995701 | − | 0.0926293i | \(-0.970473\pi\) |
0.751093 | − | 0.660197i | \(-0.229527\pi\) | |||||||
\(830\) | −24.4900 | + | 12.5516i | −0.850062 | + | 0.435671i | ||||
\(831\) | 4.17074 | − | 35.3061i | 0.144681 | − | 1.22475i | ||||
\(832\) | 32.1127 | − | 9.33321i | 1.11331 | − | 0.323571i | ||||
\(833\) | −3.94714 | − | 1.28250i | −0.136760 | − | 0.0444362i | ||||
\(834\) | −12.1049 | + | 14.4076i | −0.419159 | + | 0.498893i | ||||
\(835\) | −19.1460 | − | 10.8610i | −0.662575 | − | 0.375861i | ||||
\(836\) | 40.8949 | − | 69.1550i | 1.41438 | − | 2.39178i | ||||
\(837\) | 4.75392 | + | 1.75019i | 0.164319 | + | 0.0604953i | ||||
\(838\) | −18.1064 | − | 22.5997i | −0.625475 | − | 0.780693i | ||||
\(839\) | −6.31078 | − | 4.58505i | −0.217872 | − | 0.158294i | 0.473496 | − | 0.880796i | \(-0.342992\pi\) |
−0.691368 | + | 0.722502i | \(0.742992\pi\) | |||||||
\(840\) | −3.59529 | − | 26.2438i | −0.124049 | − | 0.905498i | ||||
\(841\) | −11.4166 | + | 8.29467i | −0.393677 | + | 0.286023i | ||||
\(842\) | 20.8616 | + | 5.70669i | 0.718937 | + | 0.196666i | ||||
\(843\) | −10.4741 | − | 52.5951i | −0.360746 | − | 1.81147i | ||||
\(844\) | 13.2647 | + | 2.96452i | 0.456589 | + | 0.102043i | ||||
\(845\) | −8.70156 | − | 4.93616i | −0.299343 | − | 0.169809i | ||||
\(846\) | 21.3915 | − | 20.1067i | 0.735456 | − | 0.691283i | ||||
\(847\) | −42.6347 | + | 13.8528i | −1.46494 | + | 0.475989i | ||||
\(848\) | 8.16452 | − | 17.3536i | 0.280371 | − | 0.595925i | ||||
\(849\) | 6.17796 | + | 31.0224i | 0.212027 | + | 1.06469i | ||||
\(850\) | −24.5227 | + | 6.83343i | −0.841123 | + | 0.234385i | ||||
\(851\) | −4.08331 | −0.139974 | ||||||||
\(852\) | 33.9689 | + | 11.9192i | 1.16375 | + | 0.408344i | ||||
\(853\) | 2.12105 | + | 6.52791i | 0.0726233 | + | 0.223511i | 0.980779 | − | 0.195120i | \(-0.0625098\pi\) |
−0.908156 | + | 0.418632i | \(0.862510\pi\) | |||||||
\(854\) | 12.0339 | + | 31.8452i | 0.411792 | + | 1.08972i | ||||
\(855\) | −24.0078 | − | 43.3816i | −0.821051 | − | 1.48362i | ||||
\(856\) | 41.5459 | + | 7.24871i | 1.42001 | + | 0.247756i | ||||
\(857\) | 23.3567i | 0.797851i | 0.916983 | + | 0.398925i | \(0.130617\pi\) | ||||
−0.916983 | + | 0.398925i | \(0.869383\pi\) | |||||||
\(858\) | −55.5124 | − | 3.91704i | −1.89516 | − | 0.133726i | ||||
\(859\) | −18.1606 | − | 24.9959i | −0.619632 | − | 0.852851i | 0.377694 | − | 0.925931i | \(-0.376717\pi\) |
−0.997326 | + | 0.0730799i | \(0.976717\pi\) | |||||||
\(860\) | 4.48051 | + | 21.3781i | 0.152784 | + | 0.728989i | ||||
\(861\) | 6.85911 | + | 3.16023i | 0.233758 | + | 0.107700i | ||||
\(862\) | −19.9964 | − | 24.9587i | −0.681081 | − | 0.850098i | ||||
\(863\) | 11.2624 | − | 8.18263i | 0.383377 | − | 0.278540i | −0.379359 | − | 0.925250i | \(-0.623855\pi\) |
0.762736 | + | 0.646710i | \(0.223855\pi\) | |||||||
\(864\) | −5.75630 | − | 28.8247i | −0.195833 | − | 0.980637i | ||||
\(865\) | 11.0075 | + | 12.0399i | 0.374265 | + | 0.409370i | ||||
\(866\) | 0.617506 | + | 0.770746i | 0.0209837 | + | 0.0261910i | ||||
\(867\) | −0.820665 | + | 6.94708i | −0.0278712 | + | 0.235935i | ||||
\(868\) | 4.69398 | − | 0.443875i | 0.159324 | − | 0.0150661i | ||||
\(869\) | −45.8436 | − | 14.8955i | −1.55514 | − | 0.505295i | ||||
\(870\) | 0.884540 | + | 21.1155i | 0.0299887 | + | 0.715883i | ||||
\(871\) | 6.37184 | − | 2.07034i | 0.215902 | − | 0.0701507i | ||||
\(872\) | −1.00209 | + | 0.490982i | −0.0339349 | + | 0.0166267i | ||||
\(873\) | −0.791581 | − | 0.189667i | −0.0267910 | − | 0.00641926i | ||||
\(874\) | −7.78711 | + | 0.367365i | −0.263403 | + | 0.0124263i | ||||
\(875\) | −22.2281 | − | 15.3887i | −0.751447 | − | 0.520233i | ||||
\(876\) | −14.1781 | + | 4.24413i | −0.479032 | + | 0.143396i | ||||
\(877\) | −29.3709 | − | 21.3392i | −0.991785 | − | 0.720574i | −0.0314737 | − | 0.999505i | \(-0.510020\pi\) |
−0.960311 | + | 0.278931i | \(0.910020\pi\) | |||||||
\(878\) | 6.23913 | + | 16.5105i | 0.210560 | + | 0.557203i | ||||
\(879\) | 1.02583 | − | 0.574796i | 0.0346005 | − | 0.0193874i | ||||
\(880\) | 0.645733 | − | 48.6075i | 0.0217676 | − | 1.63856i | ||||
\(881\) | 0.339830 | + | 0.110417i | 0.0114492 | + | 0.00372006i | 0.314736 | − | 0.949179i | \(-0.398084\pi\) |
−0.303287 | + | 0.952899i | \(0.598084\pi\) | |||||||
\(882\) | −2.08451 | − | 4.42446i | −0.0701890 | − | 0.148979i | ||||
\(883\) | 17.7319 | + | 5.76145i | 0.596726 | + | 0.193888i | 0.591780 | − | 0.806100i | \(-0.298425\pi\) |
0.00494652 | + | 0.999988i | \(0.498425\pi\) | |||||||
\(884\) | 19.9055 | + | 22.5767i | 0.669493 | + | 0.759338i | ||||
\(885\) | −21.0433 | + | 28.6446i | −0.707362 | + | 0.962878i | ||||
\(886\) | 2.51519 | − | 3.82915i | 0.0844995 | − | 0.128643i | ||||
\(887\) | −26.1086 | + | 18.9690i | −0.876641 | + | 0.636917i | −0.932361 | − | 0.361529i | \(-0.882255\pi\) |
0.0557194 | + | 0.998446i | \(0.482255\pi\) | |||||||
\(888\) | −22.0690 | − | 15.2438i | −0.740586 | − | 0.511549i | ||||
\(889\) | 24.9128 | + | 18.1002i | 0.835550 | + | 0.607062i | ||||
\(890\) | 37.7266 | − | 6.06709i | 1.26460 | − | 0.203369i | ||||
\(891\) | −7.60870 | + | 48.3193i | −0.254901 | + | 1.61876i | ||||
\(892\) | 42.8343 | + | 9.57305i | 1.43420 | + | 0.320529i | ||||
\(893\) | − | 51.1448i | − | 1.71150i | ||||||
\(894\) | 1.87938 | − | 26.6346i | 0.0628558 | − | 0.890794i | ||||
\(895\) | −23.2523 | + | 2.62252i | −0.777237 | + | 0.0876611i | ||||
\(896\) | −16.4287 | − | 21.8755i | −0.548846 | − | 0.730810i | ||||
\(897\) | 2.63956 | + | 4.71080i | 0.0881323 | + | 0.157289i | ||||
\(898\) | 2.63977 | + | 1.73394i | 0.0880902 | + | 0.0578623i | ||||
\(899\) | −3.76177 | −0.125462 | ||||||||
\(900\) | −25.6602 | − | 15.5419i | −0.855342 | − | 0.518064i | ||||
\(901\) | 17.2613 | 0.575056 | ||||||||
\(902\) | 11.5840 | + | 7.60895i | 0.385704 | + | 0.253350i | ||||
\(903\) | −9.99932 | − | 17.8457i | −0.332756 | − | 0.593868i | ||||
\(904\) | −2.08662 | − | 4.25876i | −0.0693999 | − | 0.141644i | ||||
\(905\) | 20.0424 | + | 11.3695i | 0.666233 | + | 0.377936i | ||||
\(906\) | 2.69885 | − | 38.2481i | 0.0896633 | − | 1.27071i | ||||
\(907\) | − | 50.7133i | − | 1.68391i | −0.539549 | − | 0.841954i | \(-0.681405\pi\) | ||
0.539549 | − | 0.841954i | \(-0.318595\pi\) | |||||||
\(908\) | 6.25735 | − | 27.9983i | 0.207657 | − | 0.929156i | ||||
\(909\) | −8.36377 | − | 5.12018i | −0.277409 | − | 0.169826i | ||||
\(910\) | −4.92546 | + | 31.5829i | −0.163277 | + | 1.04696i | ||||
\(911\) | 7.36164 | + | 5.34855i | 0.243902 | + | 0.177205i | 0.703020 | − | 0.711170i | \(-0.251834\pi\) |
−0.459118 | + | 0.888375i | \(0.651834\pi\) | |||||||
\(912\) | −43.4582 | − | 27.0853i | −1.43905 | − | 0.896885i | ||||
\(913\) | 38.2639 | − | 27.8004i | 1.26635 | − | 0.920058i | ||||
\(914\) | −12.9480 | + | 19.7122i | −0.428283 | + | 0.652023i | ||||
\(915\) | 36.6050 | + | 12.1075i | 1.21013 | + | 0.400263i | ||||
\(916\) | −34.2504 | + | 30.1979i | −1.13167 | + | 0.997767i | ||||
\(917\) | −18.6329 | − | 6.05420i | −0.615313 | − | 0.199927i | ||||
\(918\) | 21.2695 | − | 15.7326i | 0.701999 | − | 0.519252i | ||||
\(919\) | 41.0134 | + | 13.3261i | 1.35291 | + | 0.439586i | 0.893669 | − | 0.448727i | \(-0.148122\pi\) |
0.459239 | + | 0.888313i | \(0.348122\pi\) | |||||||
\(920\) | −3.97654 | + | 2.53703i | −0.131103 | + | 0.0836435i | ||||
\(921\) | −17.8481 | + | 10.0007i | −0.588114 | + | 0.329533i | ||||
\(922\) | −15.3383 | − | 40.5894i | −0.505139 | − | 1.33674i | ||||
\(923\) | −35.1445 | − | 25.5340i | −1.15679 | − | 0.840460i | ||||
\(924\) | 13.0556 | + | 43.6140i | 0.429499 | + | 1.43480i | ||||
\(925\) | −26.6873 | + | 6.09744i | −0.877472 | + | 0.200483i | ||||
\(926\) | −28.8167 | + | 1.35946i | −0.946977 | + | 0.0446747i | ||||
\(927\) | −9.53879 | + | 39.8104i | −0.313295 | + | 1.30754i | ||||
\(928\) | 11.4063 | + | 18.6097i | 0.374429 | + | 0.610894i | ||||
\(929\) | 55.7763 | − | 18.1228i | 1.82996 | − | 0.594590i | 0.830676 | − | 0.556756i | \(-0.187954\pi\) |
0.999284 | − | 0.0378339i | \(-0.0120458\pi\) | |||||||
\(930\) | 2.95514 | − | 4.44763i | 0.0969029 | − | 0.145844i | ||||
\(931\) | −8.10355 | − | 2.63300i | −0.265583 | − | 0.0862931i | ||||
\(932\) | 2.68525 | + | 28.3965i | 0.0879583 | + | 0.930159i | ||||
\(933\) | −6.34842 | + | 53.7405i | −0.207838 | + | 1.75939i | ||||
\(934\) | −23.0166 | − | 28.7284i | −0.753127 | − | 0.940022i | ||||
\(935\) | 39.8338 | − | 18.0987i | 1.30270 | − | 0.591891i | ||||
\(936\) | −3.32040 | + | 35.3143i | −0.108531 | + | 1.15429i | ||||
\(937\) | −30.9327 | + | 22.4739i | −1.01053 | + | 0.734190i | −0.964319 | − | 0.264742i | \(-0.914713\pi\) |
−0.0462067 | + | 0.998932i | \(0.514713\pi\) | |||||||
\(938\) | −3.42697 | − | 4.27740i | −0.111894 | − | 0.139662i | ||||
\(939\) | −46.8576 | − | 21.5889i | −1.52914 | − | 0.704528i | ||||
\(940\) | −15.3965 | − | 26.8438i | −0.502180 | − | 0.875547i | ||||
\(941\) | −29.0117 | − | 39.9312i | −0.945754 | − | 1.30172i | −0.953388 | − | 0.301748i | \(-0.902430\pi\) |
0.00763309 | − | 0.999971i | \(-0.497570\pi\) | |||||||
\(942\) | −6.19460 | − | 0.437101i | −0.201831 | − | 0.0142415i | ||||
\(943\) | − | 1.34482i | − | 0.0437933i | ||||||
\(944\) | −4.59835 | + | 36.4199i | −0.149664 | + | 1.18537i | ||||
\(945\) | 27.2875 | + | 6.69064i | 0.887662 | + | 0.217646i | ||||
\(946\) | −13.2703 | − | 35.1169i | −0.431454 | − | 1.14175i | ||||
\(947\) | 11.7022 | + | 36.0155i | 0.380269 | + | 1.17035i | 0.939855 | + | 0.341575i | \(0.110960\pi\) |
−0.559586 | + | 0.828773i | \(0.689040\pi\) | |||||||
\(948\) | −10.1723 | + | 28.9904i | −0.330380 | + | 0.941563i | ||||
\(949\) | 17.8590 | 0.579728 | ||||||||
\(950\) | −50.3456 | + | 14.0291i | −1.63343 | + | 0.455166i | ||||
\(951\) | −8.11023 | − | 40.7253i | −0.262992 | − | 1.32061i | ||||
\(952\) | 11.5207 | − | 21.7616i | 0.373389 | − | 0.705298i | ||||
\(953\) | 50.4973 | − | 16.4076i | 1.63577 | − | 0.531493i | 0.660180 | − | 0.751107i | \(-0.270480\pi\) |
0.975587 | + | 0.219615i | \(0.0704800\pi\) | |||||||
\(954\) | 13.9317 | + | 14.8219i | 0.451055 | + | 0.479878i | ||||
\(955\) | 2.24907 | + | 4.95002i | 0.0727781 | + | 0.160179i | ||||
\(956\) | 5.26844 | − | 23.5735i | 0.170394 | − | 0.762421i | ||||
\(957\) | −7.09420 | − | 35.6233i | −0.229323 | − | 1.15154i | ||||
\(958\) | −14.4700 | − | 3.95827i | −0.467504 | − | 0.127886i | ||||
\(959\) | 2.23095 | − | 1.62088i | 0.0720411 | − | 0.0523409i | ||||
\(960\) | −30.9631 | − | 1.13337i | −0.999331 | − | 0.0365794i | ||||
\(961\) | −24.3106 | − | 17.6627i | −0.784212 | − | 0.569763i | ||||
\(962\) | 20.2373 | + | 25.2594i | 0.652477 | + | 0.814396i | ||||
\(963\) | −23.3552 | + | 38.1506i | −0.752612 | + | 1.22939i | ||||
\(964\) | 38.9452 | + | 23.0303i | 1.25434 | + | 0.741757i | ||||
\(965\) | −4.51916 | + | 22.0840i | −0.145477 | + | 0.710908i | ||||
\(966\) | 2.84166 | − | 3.38222i | 0.0914291 | − | 0.108821i | ||||
\(967\) | −13.7462 | − | 4.46642i | −0.442049 | − | 0.143630i | 0.0795320 | − | 0.996832i | \(-0.474657\pi\) |
−0.521581 | + | 0.853202i | \(0.674657\pi\) | |||||||
\(968\) | 7.39095 | + | 51.9122i | 0.237554 | + | 1.66852i | ||||
\(969\) | 5.40695 | − | 45.7709i | 0.173696 | − | 1.47037i | ||||
\(970\) | −0.387717 | + | 0.765421i | −0.0124488 | + | 0.0245762i | ||||
\(971\) | −9.28745 | − | 28.5838i | −0.298048 | − | 0.917298i | −0.982180 | − | 0.187940i | \(-0.939819\pi\) |
0.684132 | − | 0.729358i | \(-0.260181\pi\) | |||||||
\(972\) | 30.6761 | + | 5.56589i | 0.983935 | + | 0.178526i | ||||
\(973\) | −15.0288 | − | 10.9190i | −0.481800 | − | 0.350048i | ||||
\(974\) | −40.8639 | + | 1.92780i | −1.30936 | + | 0.0617706i | ||||
\(975\) | 24.2858 | + | 26.8468i | 0.777767 | + | 0.859785i | ||||
\(976\) | 39.1140 | − | 7.46420i | 1.25201 | − | 0.238923i | ||||
\(977\) | −10.6053 | + | 14.5970i | −0.339294 | + | 0.466998i | −0.944235 | − | 0.329272i | \(-0.893197\pi\) |
0.604941 | + | 0.796270i | \(0.293197\pi\) | |||||||
\(978\) | −9.04672 | − | 14.4982i | −0.289282 | − | 0.463600i | ||||
\(979\) | −62.4590 | + | 20.2942i | −1.99620 | + | 0.648604i | ||||
\(980\) | −5.04585 | + | 1.05753i | −0.161184 | + | 0.0337814i | ||||
\(981\) | −0.0933918 | − | 1.17990i | −0.00298177 | − | 0.0376714i | ||||
\(982\) | 0.0432342 | + | 0.916443i | 0.00137966 | + | 0.0292449i | ||||
\(983\) | 4.70152 | − | 14.4698i | 0.149955 | − | 0.461515i | −0.847660 | − | 0.530540i | \(-0.821989\pi\) |
0.997615 | + | 0.0690257i | \(0.0219891\pi\) | |||||||
\(984\) | 5.02047 | − | 7.26830i | 0.160047 | − | 0.231705i | ||||
\(985\) | 2.44749 | + | 21.7004i | 0.0779835 | + | 0.691432i | ||||
\(986\) | −10.7855 | + | 16.4199i | −0.343479 | + | 0.522917i | ||||
\(987\) | 21.2862 | + | 19.6679i | 0.677547 | + | 0.626037i | ||||
\(988\) | 40.8662 | + | 46.3504i | 1.30013 | + | 1.47460i | ||||
\(989\) | −2.14110 | + | 2.94698i | −0.0680831 | + | 0.0937084i | ||||
\(990\) | 47.6912 | + | 19.5970i | 1.51573 | + | 0.622833i | ||||
\(991\) | −22.2639 | − | 30.6436i | −0.707235 | − | 0.973426i | −0.999852 | − | 0.0171959i | \(-0.994526\pi\) |
0.292617 | − | 0.956230i | \(-0.405474\pi\) | |||||||
\(992\) | 0.432228 | − | 5.49804i | 0.0137233 | − | 0.174563i | ||||
\(993\) | 6.03998 | + | 30.3296i | 0.191673 | + | 0.962480i | ||||
\(994\) | −9.37692 | + | 34.2786i | −0.297418 | + | 1.08725i | ||||
\(995\) | −7.42183 | − | 1.51877i | −0.235288 | − | 0.0481482i | ||||
\(996\) | −17.1461 | − | 24.7947i | −0.543295 | − | 0.785649i | ||||
\(997\) | −0.0455868 | − | 0.140302i | −0.00144375 | − | 0.00444340i | 0.950332 | − | 0.311238i | \(-0.100744\pi\) |
−0.951776 | + | 0.306794i | \(0.900744\pi\) | |||||||
\(998\) | −12.0358 | − | 7.90573i | −0.380986 | − | 0.250251i | ||||
\(999\) | 23.6438 | − | 15.8212i | 0.748056 | − | 0.500562i |
(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 | 300.2.n.a.191.18 | yes | 224 | |
3.2 | odd | 2 | inner | 300.2.n.a.191.39 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.n.a.191.17 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.n.a.191.40 | yes | 224 | |
25.11 | even | 5 | inner | 300.2.n.a.11.40 | yes | 224 | |
75.11 | odd | 10 | inner | 300.2.n.a.11.17 | ✓ | 224 | |
100.11 | odd | 10 | inner | 300.2.n.a.11.39 | yes | 224 | |
300.11 | even | 10 | inner | 300.2.n.a.11.18 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.n.a.11.17 | ✓ | 224 | 75.11 | odd | 10 | inner | |
300.2.n.a.11.18 | yes | 224 | 300.11 | even | 10 | inner | |
300.2.n.a.11.39 | yes | 224 | 100.11 | odd | 10 | inner | |
300.2.n.a.11.40 | yes | 224 | 25.11 | even | 5 | inner | |
300.2.n.a.191.17 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.n.a.191.18 | yes | 224 | 1.1 | even | 1 | trivial | |
300.2.n.a.191.39 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.n.a.191.40 | yes | 224 | 12.11 | even | 2 | inner |