Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [770,2,Mod(71,770)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(770, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("770.71");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 770.n (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.14848095564\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 5 x^{15} + 18 x^{14} - 35 x^{13} + 89 x^{12} - 185 x^{11} + 837 x^{10} - 1660 x^{9} + 4196 x^{8} + \cdots + 25 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 631.3 | ||
Root | \(0.0652271 + 0.200748i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 770.631 |
Dual form | 770.2.n.k.421.3 |
$q$-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 \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).
\(n\) | \(211\) | \(617\) | \(661\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.809017 | − | 0.587785i | −0.572061 | − | 0.415627i | ||||
\(3\) | −0.0652271 | + | 0.200748i | −0.0376589 | + | 0.115902i | −0.968119 | − | 0.250492i | \(-0.919408\pi\) |
0.930460 | + | 0.366394i | \(0.119408\pi\) | |||||||
\(4\) | 0.309017 | + | 0.951057i | 0.154508 | + | 0.475528i | ||||
\(5\) | 0.809017 | − | 0.587785i | 0.361803 | − | 0.262866i | ||||
\(6\) | 0.170767 | − | 0.124069i | 0.0697152 | − | 0.0506511i | ||||
\(7\) | −0.309017 | − | 0.951057i | −0.116797 | − | 0.359466i | ||||
\(8\) | 0.309017 | − | 0.951057i | 0.109254 | − | 0.336249i | ||||
\(9\) | 2.39101 | + | 1.73717i | 0.797002 | + | 0.579056i | ||||
\(10\) | −1.00000 | −0.316228 | ||||||||
\(11\) | −0.544486 | + | 3.27163i | −0.164169 | + | 0.986432i | ||||
\(12\) | −0.211079 | −0.0609333 | ||||||||
\(13\) | 0.310705 | + | 0.225740i | 0.0861741 | + | 0.0626091i | 0.630038 | − | 0.776564i | \(-0.283039\pi\) |
−0.543864 | + | 0.839173i | \(0.683039\pi\) | |||||||
\(14\) | −0.309017 | + | 0.951057i | −0.0825883 | + | 0.254181i | ||||
\(15\) | 0.0652271 | + | 0.200748i | 0.0168416 | + | 0.0518330i | ||||
\(16\) | −0.809017 | + | 0.587785i | −0.202254 | + | 0.146946i | ||||
\(17\) | 2.71143 | − | 1.96997i | 0.657617 | − | 0.477787i | −0.208240 | − | 0.978078i | \(-0.566774\pi\) |
0.865857 | + | 0.500291i | \(0.166774\pi\) | |||||||
\(18\) | −0.913283 | − | 2.81080i | −0.215263 | − | 0.662511i | ||||
\(19\) | −1.48947 | + | 4.58411i | −0.341707 | + | 1.05167i | 0.621615 | + | 0.783323i | \(0.286477\pi\) |
−0.963323 | + | 0.268345i | \(0.913523\pi\) | |||||||
\(20\) | 0.809017 | + | 0.587785i | 0.180902 | + | 0.131433i | ||||
\(21\) | 0.211079 | 0.0460613 | ||||||||
\(22\) | 2.36351 | − | 2.32676i | 0.503902 | − | 0.496067i | ||||
\(23\) | 0.683067 | 0.142429 | 0.0712147 | − | 0.997461i | \(-0.477312\pi\) | ||||
0.0712147 | + | 0.997461i | \(0.477312\pi\) | |||||||
\(24\) | 0.170767 | + | 0.124069i | 0.0348576 | + | 0.0253255i | ||||
\(25\) | 0.309017 | − | 0.951057i | 0.0618034 | − | 0.190211i | ||||
\(26\) | −0.118679 | − | 0.365256i | −0.0232748 | − | 0.0716325i | ||||
\(27\) | −1.01699 | + | 0.738888i | −0.195720 | + | 0.142199i | ||||
\(28\) | 0.809017 | − | 0.587785i | 0.152890 | − | 0.111081i | ||||
\(29\) | 0.496545 | + | 1.52821i | 0.0922062 | + | 0.283781i | 0.986516 | − | 0.163668i | \(-0.0523325\pi\) |
−0.894309 | + | 0.447449i | \(0.852333\pi\) | |||||||
\(30\) | 0.0652271 | − | 0.200748i | 0.0119088 | − | 0.0366515i | ||||
\(31\) | 1.01752 | + | 0.739269i | 0.182751 | + | 0.132777i | 0.675400 | − | 0.737452i | \(-0.263971\pi\) |
−0.492648 | + | 0.870228i | \(0.663971\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | −0.621258 | − | 0.322703i | −0.108147 | − | 0.0561754i | ||||
\(34\) | −3.35151 | −0.574779 | ||||||||
\(35\) | −0.809017 | − | 0.587785i | −0.136749 | − | 0.0993538i | ||||
\(36\) | −0.913283 | + | 2.81080i | −0.152214 | + | 0.468466i | ||||
\(37\) | 0.264793 | + | 0.814950i | 0.0435318 | + | 0.133977i | 0.970460 | − | 0.241261i | \(-0.0775610\pi\) |
−0.926929 | + | 0.375238i | \(0.877561\pi\) | |||||||
\(38\) | 3.89948 | − | 2.83314i | 0.632579 | − | 0.459595i | ||||
\(39\) | −0.0655834 | + | 0.0476491i | −0.0105018 | + | 0.00762997i | ||||
\(40\) | −0.309017 | − | 0.951057i | −0.0488599 | − | 0.150375i | ||||
\(41\) | 2.97308 | − | 9.15021i | 0.464317 | − | 1.42902i | −0.395521 | − | 0.918457i | \(-0.629436\pi\) |
0.859839 | − | 0.510566i | \(-0.170564\pi\) | |||||||
\(42\) | −0.170767 | − | 0.124069i | −0.0263499 | − | 0.0191443i | ||||
\(43\) | 9.55155 | 1.45660 | 0.728299 | − | 0.685259i | \(-0.240311\pi\) | ||||
0.728299 | + | 0.685259i | \(0.240311\pi\) | |||||||
\(44\) | −3.27976 | + | 0.493151i | −0.494442 | + | 0.0743453i | ||||
\(45\) | 2.95545 | 0.440572 | ||||||||
\(46\) | −0.552613 | − | 0.401497i | −0.0814783 | − | 0.0591975i | ||||
\(47\) | −2.33324 | + | 7.18097i | −0.340338 | + | 1.04745i | 0.623695 | + | 0.781668i | \(0.285631\pi\) |
−0.964033 | + | 0.265784i | \(0.914369\pi\) | |||||||
\(48\) | −0.0652271 | − | 0.200748i | −0.00941472 | − | 0.0289755i | ||||
\(49\) | −0.809017 | + | 0.587785i | −0.115574 | + | 0.0839693i | ||||
\(50\) | −0.809017 | + | 0.587785i | −0.114412 | + | 0.0831254i | ||||
\(51\) | 0.218609 | + | 0.672809i | 0.0306114 | + | 0.0942121i | ||||
\(52\) | −0.118679 | + | 0.365256i | −0.0164578 | + | 0.0506519i | ||||
\(53\) | 10.9530 | + | 7.95781i | 1.50451 | + | 1.09309i | 0.968542 | + | 0.248850i | \(0.0800527\pi\) |
0.535967 | + | 0.844239i | \(0.319947\pi\) | |||||||
\(54\) | 1.25707 | 0.171066 | ||||||||
\(55\) | 1.48251 | + | 2.96684i | 0.199902 | + | 0.400049i | ||||
\(56\) | −1.00000 | −0.133631 | ||||||||
\(57\) | −0.823099 | − | 0.598017i | −0.109022 | − | 0.0792092i | ||||
\(58\) | 0.496545 | − | 1.52821i | 0.0651996 | − | 0.200664i | ||||
\(59\) | 2.24632 | + | 6.91346i | 0.292446 | + | 0.900056i | 0.984067 | + | 0.177796i | \(0.0568967\pi\) |
−0.691621 | + | 0.722260i | \(0.743103\pi\) | |||||||
\(60\) | −0.170767 | + | 0.124069i | −0.0220459 | + | 0.0160173i | ||||
\(61\) | −3.14814 | + | 2.28726i | −0.403078 | + | 0.292853i | −0.770794 | − | 0.637085i | \(-0.780140\pi\) |
0.367716 | + | 0.929938i | \(0.380140\pi\) | |||||||
\(62\) | −0.388657 | − | 1.19616i | −0.0493595 | − | 0.151913i | ||||
\(63\) | 0.913283 | − | 2.81080i | 0.115063 | − | 0.354127i | ||||
\(64\) | −0.809017 | − | 0.587785i | −0.101127 | − | 0.0734732i | ||||
\(65\) | 0.384053 | 0.0476359 | ||||||||
\(66\) | 0.312928 | + | 0.626239i | 0.0385188 | + | 0.0770847i | ||||
\(67\) | 4.97372 | 0.607637 | 0.303818 | − | 0.952730i | \(-0.401738\pi\) | ||||
0.303818 | + | 0.952730i | \(0.401738\pi\) | |||||||
\(68\) | 2.71143 | + | 1.96997i | 0.328809 | + | 0.238893i | ||||
\(69\) | −0.0445545 | + | 0.137125i | −0.00536373 | + | 0.0165079i | ||||
\(70\) | 0.309017 | + | 0.951057i | 0.0369346 | + | 0.113673i | ||||
\(71\) | −0.679927 | + | 0.493996i | −0.0806924 | + | 0.0586265i | −0.627400 | − | 0.778697i | \(-0.715881\pi\) |
0.546708 | + | 0.837324i | \(0.315881\pi\) | |||||||
\(72\) | 2.39101 | − | 1.73717i | 0.281783 | − | 0.204727i | ||||
\(73\) | −3.19787 | − | 9.84204i | −0.374283 | − | 1.15192i | −0.943961 | − | 0.330056i | \(-0.892932\pi\) |
0.569679 | − | 0.821867i | \(-0.307068\pi\) | |||||||
\(74\) | 0.264793 | − | 0.814950i | 0.0307816 | − | 0.0947360i | ||||
\(75\) | 0.170767 | + | 0.124069i | 0.0197184 | + | 0.0143263i | ||||
\(76\) | −4.82002 | −0.552894 | ||||||||
\(77\) | 3.27976 | − | 0.493151i | 0.373763 | − | 0.0561998i | ||||
\(78\) | 0.0810656 | 0.00917887 | ||||||||
\(79\) | −2.72454 | − | 1.97949i | −0.306535 | − | 0.222710i | 0.423874 | − | 0.905721i | \(-0.360670\pi\) |
−0.730408 | + | 0.683011i | \(0.760670\pi\) | |||||||
\(80\) | −0.309017 | + | 0.951057i | −0.0345492 | + | 0.106331i | ||||
\(81\) | 2.65785 | + | 8.18003i | 0.295317 | + | 0.908892i | ||||
\(82\) | −7.78363 | + | 5.65514i | −0.859558 | + | 0.624506i | ||||
\(83\) | 8.51048 | − | 6.18323i | 0.934147 | − | 0.678697i | −0.0128580 | − | 0.999917i | \(-0.504093\pi\) |
0.947005 | + | 0.321220i | \(0.104093\pi\) | |||||||
\(84\) | 0.0652271 | + | 0.200748i | 0.00711686 | + | 0.0219034i | ||||
\(85\) | 1.03567 | − | 3.18747i | 0.112334 | − | 0.345730i | ||||
\(86\) | −7.72737 | − | 5.61426i | −0.833264 | − | 0.605402i | ||||
\(87\) | −0.339174 | −0.0363632 | ||||||||
\(88\) | 2.94325 | + | 1.52882i | 0.313751 | + | 0.162973i | ||||
\(89\) | 15.0365 | 1.59386 | 0.796931 | − | 0.604070i | \(-0.206455\pi\) | ||||
0.796931 | + | 0.604070i | \(0.206455\pi\) | |||||||
\(90\) | −2.39101 | − | 1.73717i | −0.252034 | − | 0.183114i | ||||
\(91\) | 0.118679 | − | 0.365256i | 0.0124409 | − | 0.0382892i | ||||
\(92\) | 0.211079 | + | 0.649635i | 0.0220065 | + | 0.0677292i | ||||
\(93\) | −0.214777 | + | 0.156044i | −0.0222713 | + | 0.0161811i | ||||
\(94\) | 6.10850 | − | 4.43808i | 0.630043 | − | 0.457753i | ||||
\(95\) | 1.48947 | + | 4.58411i | 0.152816 | + | 0.470320i | ||||
\(96\) | −0.0652271 | + | 0.200748i | −0.00665721 | + | 0.0204888i | ||||
\(97\) | −9.11528 | − | 6.62264i | −0.925517 | − | 0.672427i | 0.0193744 | − | 0.999812i | \(-0.493833\pi\) |
−0.944891 | + | 0.327385i | \(0.893833\pi\) | |||||||
\(98\) | 1.00000 | 0.101015 | ||||||||
\(99\) | −6.98523 | + | 6.87661i | −0.702042 | + | 0.691126i | ||||
\(100\) | 1.00000 | 0.100000 | ||||||||
\(101\) | −0.572777 | − | 0.416147i | −0.0569935 | − | 0.0414082i | 0.558924 | − | 0.829219i | \(-0.311214\pi\) |
−0.615917 | + | 0.787811i | \(0.711214\pi\) | |||||||
\(102\) | 0.218609 | − | 0.672809i | 0.0216455 | − | 0.0666180i | ||||
\(103\) | 0.186041 | + | 0.572575i | 0.0183312 | + | 0.0564175i | 0.959804 | − | 0.280672i | \(-0.0905574\pi\) |
−0.941473 | + | 0.337090i | \(0.890557\pi\) | |||||||
\(104\) | 0.310705 | − | 0.225740i | 0.0304671 | − | 0.0221357i | ||||
\(105\) | 0.170767 | − | 0.124069i | 0.0166651 | − | 0.0121079i | ||||
\(106\) | −4.18367 | − | 12.8760i | −0.406354 | − | 1.25063i | ||||
\(107\) | 3.17674 | − | 9.77699i | 0.307107 | − | 0.945178i | −0.671776 | − | 0.740755i | \(-0.734468\pi\) |
0.978883 | − | 0.204423i | \(-0.0655319\pi\) | |||||||
\(108\) | −1.01699 | − | 0.738888i | −0.0978601 | − | 0.0710995i | ||||
\(109\) | −2.65530 | −0.254331 | −0.127166 | − | 0.991881i | \(-0.540588\pi\) | ||||
−0.127166 | + | 0.991881i | \(0.540588\pi\) | |||||||
\(110\) | 0.544486 | − | 3.27163i | 0.0519147 | − | 0.311937i | ||||
\(111\) | −0.180872 | −0.0171676 | ||||||||
\(112\) | 0.809017 | + | 0.587785i | 0.0764449 | + | 0.0555405i | ||||
\(113\) | 3.16012 | − | 9.72586i | 0.297279 | − | 0.914932i | −0.685167 | − | 0.728386i | \(-0.740271\pi\) |
0.982446 | − | 0.186546i | \(-0.0597292\pi\) | |||||||
\(114\) | 0.314396 | + | 0.967611i | 0.0294459 | + | 0.0906251i | ||||
\(115\) | 0.552613 | − | 0.401497i | 0.0515314 | − | 0.0374398i | ||||
\(116\) | −1.29997 | + | 0.944486i | −0.120699 | + | 0.0876933i | ||||
\(117\) | 0.350749 | + | 1.07949i | 0.0324267 | + | 0.0997992i | ||||
\(118\) | 2.24632 | − | 6.91346i | 0.206791 | − | 0.636436i | ||||
\(119\) | −2.71143 | − | 1.96997i | −0.248556 | − | 0.180586i | ||||
\(120\) | 0.211079 | 0.0192688 | ||||||||
\(121\) | −10.4071 | − | 3.56271i | −0.946097 | − | 0.323883i | ||||
\(122\) | 3.89131 | 0.352303 | ||||||||
\(123\) | 1.64296 | + | 1.19368i | 0.148141 | + | 0.107631i | ||||
\(124\) | −0.388657 | + | 1.19616i | −0.0349024 | + | 0.107419i | ||||
\(125\) | −0.309017 | − | 0.951057i | −0.0276393 | − | 0.0850651i | ||||
\(126\) | −2.39101 | + | 1.73717i | −0.213008 | + | 0.154759i | ||||
\(127\) | −17.0297 | + | 12.3728i | −1.51114 | + | 1.09791i | −0.545478 | + | 0.838125i | \(0.683652\pi\) |
−0.965666 | + | 0.259785i | \(0.916348\pi\) | |||||||
\(128\) | 0.309017 | + | 0.951057i | 0.0273135 | + | 0.0840623i | ||||
\(129\) | −0.623020 | + | 1.91746i | −0.0548539 | + | 0.168823i | ||||
\(130\) | −0.310705 | − | 0.225740i | −0.0272506 | − | 0.0197987i | ||||
\(131\) | 12.9629 | 1.13257 | 0.566287 | − | 0.824208i | \(-0.308379\pi\) | ||||
0.566287 | + | 0.824208i | \(0.308379\pi\) | |||||||
\(132\) | 0.114930 | − | 0.690572i | 0.0100033 | − | 0.0601066i | ||||
\(133\) | 4.82002 | 0.417949 | ||||||||
\(134\) | −4.02383 | − | 2.92348i | −0.347606 | − | 0.252550i | ||||
\(135\) | −0.388456 | + | 1.19555i | −0.0334330 | + | 0.102896i | ||||
\(136\) | −1.03567 | − | 3.18747i | −0.0888082 | − | 0.273323i | ||||
\(137\) | −10.0697 | + | 7.31608i | −0.860315 | + | 0.625055i | −0.927971 | − | 0.372653i | \(-0.878448\pi\) |
0.0676558 | + | 0.997709i | \(0.478448\pi\) | |||||||
\(138\) | 0.116645 | − | 0.0847476i | 0.00992949 | − | 0.00721420i | ||||
\(139\) | −3.71455 | − | 11.4322i | −0.315064 | − | 0.969667i | −0.975728 | − | 0.218986i | \(-0.929725\pi\) |
0.660664 | − | 0.750682i | \(-0.270275\pi\) | |||||||
\(140\) | 0.309017 | − | 0.951057i | 0.0261167 | − | 0.0803789i | ||||
\(141\) | −1.28938 | − | 0.936787i | −0.108585 | − | 0.0788917i | ||||
\(142\) | 0.840435 | 0.0705278 | ||||||||
\(143\) | −0.907713 | + | 0.893598i | −0.0759068 | + | 0.0747264i | ||||
\(144\) | −2.95545 | −0.246287 | ||||||||
\(145\) | 1.29997 | + | 0.944486i | 0.107957 | + | 0.0784353i | ||||
\(146\) | −3.19787 | + | 9.84204i | −0.264658 | + | 0.814533i | ||||
\(147\) | −0.0652271 | − | 0.200748i | −0.00537984 | − | 0.0165574i | ||||
\(148\) | −0.693238 | + | 0.503667i | −0.0569838 | + | 0.0414012i | ||||
\(149\) | −9.83995 | + | 7.14914i | −0.806120 | + | 0.585680i | −0.912703 | − | 0.408623i | \(-0.866009\pi\) |
0.106583 | + | 0.994304i | \(0.466009\pi\) | |||||||
\(150\) | −0.0652271 | − | 0.200748i | −0.00532577 | − | 0.0163910i | ||||
\(151\) | −6.26155 | + | 19.2711i | −0.509557 | + | 1.56826i | 0.283414 | + | 0.958998i | \(0.408533\pi\) |
−0.792971 | + | 0.609259i | \(0.791467\pi\) | |||||||
\(152\) | 3.89948 | + | 2.83314i | 0.316289 | + | 0.229798i | ||||
\(153\) | 9.90519 | 0.800787 | ||||||||
\(154\) | −2.94325 | − | 1.52882i | −0.237173 | − | 0.123196i | ||||
\(155\) | 1.25772 | 0.101023 | ||||||||
\(156\) | −0.0655834 | − | 0.0476491i | −0.00525088 | − | 0.00381498i | ||||
\(157\) | −3.12070 | + | 9.60453i | −0.249059 | + | 0.766525i | 0.745883 | + | 0.666077i | \(0.232028\pi\) |
−0.994942 | + | 0.100448i | \(0.967972\pi\) | |||||||
\(158\) | 1.04068 | + | 3.20289i | 0.0827921 | + | 0.254808i | ||||
\(159\) | −2.31195 | + | 1.67973i | −0.183349 | + | 0.133211i | ||||
\(160\) | 0.809017 | − | 0.587785i | 0.0639584 | − | 0.0464685i | ||||
\(161\) | −0.211079 | − | 0.649635i | −0.0166354 | − | 0.0511984i | ||||
\(162\) | 2.65785 | − | 8.18003i | 0.208821 | − | 0.642684i | ||||
\(163\) | −16.9786 | − | 12.3357i | −1.32987 | − | 0.966207i | −0.999752 | − | 0.0222674i | \(-0.992911\pi\) |
−0.330118 | − | 0.943940i | \(-0.607089\pi\) | |||||||
\(164\) | 9.62110 | 0.751281 | ||||||||
\(165\) | −0.692289 | + | 0.104094i | −0.0538946 | + | 0.00810370i | ||||
\(166\) | −10.5195 | −0.816474 | ||||||||
\(167\) | −17.6974 | − | 12.8579i | −1.36947 | − | 0.994977i | −0.997778 | − | 0.0666208i | \(-0.978778\pi\) |
−0.371691 | − | 0.928357i | \(-0.621222\pi\) | |||||||
\(168\) | 0.0652271 | − | 0.200748i | 0.00503238 | − | 0.0154881i | ||||
\(169\) | −3.97164 | − | 12.2235i | −0.305511 | − | 0.940266i | ||||
\(170\) | −2.71143 | + | 1.96997i | −0.207957 | + | 0.151089i | ||||
\(171\) | −11.5247 | + | 8.37318i | −0.881316 | + | 0.640313i | ||||
\(172\) | 2.95159 | + | 9.08407i | 0.225057 | + | 0.692654i | ||||
\(173\) | 0.0669312 | − | 0.205993i | 0.00508868 | − | 0.0156614i | −0.948480 | − | 0.316837i | \(-0.897379\pi\) |
0.953569 | + | 0.301176i | \(0.0973791\pi\) | |||||||
\(174\) | 0.274397 | + | 0.199361i | 0.0208020 | + | 0.0151135i | ||||
\(175\) | −1.00000 | −0.0755929 | ||||||||
\(176\) | −1.48251 | − | 2.96684i | −0.111749 | − | 0.223634i | ||||
\(177\) | −1.53439 | −0.115332 | ||||||||
\(178\) | −12.1648 | − | 8.83821i | −0.911787 | − | 0.662452i | ||||
\(179\) | −5.27160 | + | 16.2243i | −0.394018 | + | 1.21266i | 0.535706 | + | 0.844404i | \(0.320045\pi\) |
−0.929724 | + | 0.368257i | \(0.879955\pi\) | |||||||
\(180\) | 0.913283 | + | 2.81080i | 0.0680721 | + | 0.209504i | ||||
\(181\) | −2.79721 | + | 2.03229i | −0.207915 | + | 0.151059i | −0.686870 | − | 0.726781i | \(-0.741016\pi\) |
0.478955 | + | 0.877839i | \(0.341016\pi\) | |||||||
\(182\) | −0.310705 | + | 0.225740i | −0.0230310 | + | 0.0167330i | ||||
\(183\) | −0.253819 | − | 0.781175i | −0.0187628 | − | 0.0577461i | ||||
\(184\) | 0.211079 | − | 0.649635i | 0.0155610 | − | 0.0478917i | ||||
\(185\) | 0.693238 | + | 0.503667i | 0.0509679 | + | 0.0370303i | ||||
\(186\) | 0.265479 | 0.0194658 | ||||||||
\(187\) | 4.96866 | + | 9.94339i | 0.363344 | + | 0.727132i | ||||
\(188\) | −7.55052 | −0.550678 | ||||||||
\(189\) | 1.01699 | + | 0.738888i | 0.0739753 | + | 0.0537462i | ||||
\(190\) | 1.48947 | − | 4.58411i | 0.108057 | − | 0.332566i | ||||
\(191\) | 0.914194 | + | 2.81360i | 0.0661488 | + | 0.203585i | 0.978668 | − | 0.205449i | \(-0.0658656\pi\) |
−0.912519 | + | 0.409034i | \(0.865866\pi\) | |||||||
\(192\) | 0.170767 | − | 0.124069i | 0.0123240 | − | 0.00895393i | ||||
\(193\) | 7.66634 | − | 5.56992i | 0.551835 | − | 0.400932i | −0.276626 | − | 0.960978i | \(-0.589216\pi\) |
0.828462 | + | 0.560046i | \(0.189216\pi\) | |||||||
\(194\) | 3.48173 | + | 10.7157i | 0.249973 | + | 0.769339i | ||||
\(195\) | −0.0250506 | + | 0.0770979i | −0.00179391 | + | 0.00552110i | ||||
\(196\) | −0.809017 | − | 0.587785i | −0.0577869 | − | 0.0419847i | ||||
\(197\) | 5.06389 | 0.360787 | 0.180394 | − | 0.983594i | \(-0.442263\pi\) | ||||
0.180394 | + | 0.983594i | \(0.442263\pi\) | |||||||
\(198\) | 9.69314 | − | 1.45748i | 0.688862 | − | 0.103579i | ||||
\(199\) | −21.7104 | −1.53901 | −0.769506 | − | 0.638639i | \(-0.779498\pi\) | ||||
−0.769506 | + | 0.638639i | \(0.779498\pi\) | |||||||
\(200\) | −0.809017 | − | 0.587785i | −0.0572061 | − | 0.0415627i | ||||
\(201\) | −0.324421 | + | 0.998466i | −0.0228829 | + | 0.0704264i | ||||
\(202\) | 0.218782 | + | 0.673340i | 0.0153934 | + | 0.0473761i | ||||
\(203\) | 1.29997 | − | 0.944486i | 0.0912402 | − | 0.0662899i | ||||
\(204\) | −0.572326 | + | 0.415819i | −0.0400708 | + | 0.0291132i | ||||
\(205\) | −2.97308 | − | 9.15021i | −0.207649 | − | 0.639078i | ||||
\(206\) | 0.186041 | − | 0.572575i | 0.0129621 | − | 0.0398932i | ||||
\(207\) | 1.63322 | + | 1.18660i | 0.113516 | + | 0.0824745i | ||||
\(208\) | −0.384053 | −0.0266293 | ||||||||
\(209\) | −14.1865 | − | 7.36897i | −0.981301 | − | 0.509722i | ||||
\(210\) | −0.211079 | −0.0145659 | ||||||||
\(211\) | −12.9426 | − | 9.40333i | −0.891004 | − | 0.647352i | 0.0451358 | − | 0.998981i | \(-0.485628\pi\) |
−0.936140 | + | 0.351629i | \(0.885628\pi\) | |||||||
\(212\) | −4.18367 | + | 12.8760i | −0.287336 | + | 0.884328i | ||||
\(213\) | −0.0548192 | − | 0.168716i | −0.00375615 | − | 0.0115602i | ||||
\(214\) | −8.31681 | + | 6.04252i | −0.568525 | + | 0.413058i | ||||
\(215\) | 7.72737 | − | 5.61426i | 0.527002 | − | 0.382890i | ||||
\(216\) | 0.388456 | + | 1.19555i | 0.0264311 | + | 0.0813466i | ||||
\(217\) | 0.388657 | − | 1.19616i | 0.0263837 | − | 0.0812008i | ||||
\(218\) | 2.14818 | + | 1.56074i | 0.145493 | + | 0.105707i | ||||
\(219\) | 2.18436 | 0.147605 | ||||||||
\(220\) | −2.36351 | + | 2.32676i | −0.159348 | + | 0.156870i | ||||
\(221\) | 1.28715 | 0.0865834 | ||||||||
\(222\) | 0.146328 | + | 0.106314i | 0.00982091 | + | 0.00713531i | ||||
\(223\) | 0.860263 | − | 2.64762i | 0.0576075 | − | 0.177298i | −0.918112 | − | 0.396320i | \(-0.870287\pi\) |
0.975720 | + | 0.219023i | \(0.0702869\pi\) | |||||||
\(224\) | −0.309017 | − | 0.951057i | −0.0206471 | − | 0.0635451i | ||||
\(225\) | 2.39101 | − | 1.73717i | 0.159400 | − | 0.115811i | ||||
\(226\) | −8.27331 | + | 6.01091i | −0.550332 | + | 0.399840i | ||||
\(227\) | −4.85579 | − | 14.9446i | −0.322290 | − | 0.991906i | −0.972649 | − | 0.232280i | \(-0.925382\pi\) |
0.650359 | − | 0.759627i | \(-0.274618\pi\) | |||||||
\(228\) | 0.314396 | − | 0.967611i | 0.0208214 | − | 0.0640816i | ||||
\(229\) | −13.8112 | − | 10.0344i | −0.912668 | − | 0.663092i | 0.0290199 | − | 0.999579i | \(-0.490761\pi\) |
−0.941688 | + | 0.336486i | \(0.890761\pi\) | |||||||
\(230\) | −0.683067 | −0.0450401 | ||||||||
\(231\) | −0.114930 | + | 0.690572i | −0.00756182 | + | 0.0454363i | ||||
\(232\) | 1.60685 | 0.105495 | ||||||||
\(233\) | 5.83788 | + | 4.24147i | 0.382452 | + | 0.277868i | 0.762356 | − | 0.647158i | \(-0.224043\pi\) |
−0.379903 | + | 0.925026i | \(0.624043\pi\) | |||||||
\(234\) | 0.350749 | − | 1.07949i | 0.0229292 | − | 0.0705687i | ||||
\(235\) | 2.33324 | + | 7.18097i | 0.152204 | + | 0.468435i | ||||
\(236\) | −5.88094 | + | 4.27276i | −0.382817 | + | 0.278133i | ||||
\(237\) | 0.575094 | − | 0.417830i | 0.0373563 | − | 0.0271410i | ||||
\(238\) | 1.03567 | + | 3.18747i | 0.0671327 | + | 0.206613i | ||||
\(239\) | −1.51595 | + | 4.66560i | −0.0980584 | + | 0.301793i | −0.988039 | − | 0.154206i | \(-0.950718\pi\) |
0.889980 | + | 0.455999i | \(0.150718\pi\) | |||||||
\(240\) | −0.170767 | − | 0.124069i | −0.0110229 | − | 0.00800864i | ||||
\(241\) | 23.5063 | 1.51417 | 0.757086 | − | 0.653315i | \(-0.226622\pi\) | ||||
0.757086 | + | 0.653315i | \(0.226622\pi\) | |||||||
\(242\) | 6.32539 | + | 8.99941i | 0.406611 | + | 0.578504i | ||||
\(243\) | −5.58671 | −0.358387 | ||||||||
\(244\) | −3.14814 | − | 2.28726i | −0.201539 | − | 0.146427i | ||||
\(245\) | −0.309017 | + | 0.951057i | −0.0197424 | + | 0.0607608i | ||||
\(246\) | −0.627556 | − | 1.93142i | −0.0400115 | − | 0.123143i | ||||
\(247\) | −1.49760 | + | 1.08807i | −0.0952903 | + | 0.0692325i | ||||
\(248\) | 1.01752 | − | 0.739269i | 0.0646124 | − | 0.0469436i | ||||
\(249\) | 0.686158 | + | 2.11178i | 0.0434835 | + | 0.133829i | ||||
\(250\) | −0.309017 | + | 0.951057i | −0.0195440 | + | 0.0601501i | ||||
\(251\) | 4.92399 | + | 3.57749i | 0.310800 | + | 0.225809i | 0.732240 | − | 0.681047i | \(-0.238475\pi\) |
−0.421440 | + | 0.906856i | \(0.638475\pi\) | |||||||
\(252\) | 2.95545 | 0.186176 | ||||||||
\(253\) | −0.371920 | + | 2.23474i | −0.0233824 | + | 0.140497i | ||||
\(254\) | 21.0499 | 1.32079 | ||||||||
\(255\) | 0.572326 | + | 0.415819i | 0.0358404 | + | 0.0260396i | ||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | 0.546725 | + | 1.68265i | 0.0341038 | + | 0.104961i | 0.966659 | − | 0.256066i | \(-0.0824264\pi\) |
−0.932556 | + | 0.361026i | \(0.882426\pi\) | |||||||
\(258\) | 1.63109 | − | 1.18505i | 0.101547 | − | 0.0737783i | ||||
\(259\) | 0.693238 | − | 0.503667i | 0.0430757 | − | 0.0312963i | ||||
\(260\) | 0.118679 | + | 0.365256i | 0.00736015 | + | 0.0226522i | ||||
\(261\) | −1.46751 | + | 4.51654i | −0.0908368 | + | 0.279567i | ||||
\(262\) | −10.4872 | − | 7.61940i | −0.647902 | − | 0.470728i | ||||
\(263\) | 20.9446 | 1.29150 | 0.645750 | − | 0.763549i | \(-0.276545\pi\) | ||||
0.645750 | + | 0.763549i | \(0.276545\pi\) | |||||||
\(264\) | −0.498888 | + | 0.491131i | −0.0307045 | + | 0.0302270i | ||||
\(265\) | 13.5386 | 0.831672 | ||||||||
\(266\) | −3.89948 | − | 2.83314i | −0.239092 | − | 0.173711i | ||||
\(267\) | −0.980785 | + | 3.01854i | −0.0600230 | + | 0.184732i | ||||
\(268\) | 1.53696 | + | 4.73029i | 0.0938851 | + | 0.288948i | ||||
\(269\) | 23.2403 | − | 16.8851i | 1.41699 | − | 1.02950i | 0.424725 | − | 0.905322i | \(-0.360371\pi\) |
0.992260 | − | 0.124178i | \(-0.0396293\pi\) | |||||||
\(270\) | 1.01699 | − | 0.738888i | 0.0618922 | − | 0.0449673i | ||||
\(271\) | −1.42127 | − | 4.37421i | −0.0863358 | − | 0.265714i | 0.898563 | − | 0.438844i | \(-0.144612\pi\) |
−0.984899 | + | 0.173130i | \(0.944612\pi\) | |||||||
\(272\) | −1.03567 | + | 3.18747i | −0.0627969 | + | 0.193269i | ||||
\(273\) | 0.0655834 | + | 0.0476491i | 0.00396929 | + | 0.00288386i | ||||
\(274\) | 12.4469 | 0.751943 | ||||||||
\(275\) | 2.94325 | + | 1.52882i | 0.177484 | + | 0.0921916i | ||||
\(276\) | −0.144181 | −0.00867869 | ||||||||
\(277\) | −19.3497 | − | 14.0584i | −1.16261 | − | 0.844686i | −0.172505 | − | 0.985009i | \(-0.555186\pi\) |
−0.990106 | + | 0.140323i | \(0.955186\pi\) | |||||||
\(278\) | −3.71455 | + | 11.4322i | −0.222784 | + | 0.685658i | ||||
\(279\) | 1.14865 | + | 3.53519i | 0.0687681 | + | 0.211647i | ||||
\(280\) | −0.809017 | + | 0.587785i | −0.0483480 | + | 0.0351269i | ||||
\(281\) | −19.6116 | + | 14.2486i | −1.16993 | + | 0.850003i | −0.991000 | − | 0.133859i | \(-0.957263\pi\) |
−0.178929 | + | 0.983862i | \(0.557263\pi\) | |||||||
\(282\) | 0.492498 | + | 1.51575i | 0.0293278 | + | 0.0902618i | ||||
\(283\) | 0.682418 | − | 2.10027i | 0.0405655 | − | 0.124848i | −0.928723 | − | 0.370775i | \(-0.879092\pi\) |
0.969288 | + | 0.245927i | \(0.0790923\pi\) | |||||||
\(284\) | −0.679927 | − | 0.493996i | −0.0403462 | − | 0.0293132i | ||||
\(285\) | −1.01741 | −0.0602660 | ||||||||
\(286\) | 1.25960 | − | 0.189396i | 0.0744816 | − | 0.0111992i | ||||
\(287\) | −9.62110 | −0.567915 | ||||||||
\(288\) | 2.39101 | + | 1.73717i | 0.140891 | + | 0.102364i | ||||
\(289\) | −1.78223 | + | 5.48513i | −0.104837 | + | 0.322655i | ||||
\(290\) | −0.496545 | − | 1.52821i | −0.0291582 | − | 0.0897396i | ||||
\(291\) | 1.92405 | − | 1.39790i | 0.112790 | − | 0.0819465i | ||||
\(292\) | 8.37214 | − | 6.08271i | 0.489942 | − | 0.355964i | ||||
\(293\) | −6.75948 | − | 20.8035i | −0.394893 | − | 1.21536i | −0.929045 | − | 0.369967i | \(-0.879369\pi\) |
0.534152 | − | 0.845388i | \(-0.320631\pi\) | |||||||
\(294\) | −0.0652271 | + | 0.200748i | −0.00380412 | + | 0.0117079i | ||||
\(295\) | 5.88094 | + | 4.27276i | 0.342402 | + | 0.248769i | ||||
\(296\) | 0.856889 | 0.0498057 | ||||||||
\(297\) | −1.86363 | − | 3.72953i | −0.108139 | − | 0.216409i | ||||
\(298\) | 12.1628 | 0.704575 | ||||||||
\(299\) | 0.212232 | + | 0.154196i | 0.0122737 | + | 0.00891738i | ||||
\(300\) | −0.0652271 | + | 0.200748i | −0.00376589 | + | 0.0115902i | ||||
\(301\) | −2.95159 | − | 9.08407i | −0.170127 | − | 0.523597i | ||||
\(302\) | 16.3929 | − | 11.9102i | 0.943308 | − | 0.685353i | ||||
\(303\) | 0.120901 | − | 0.0878401i | 0.00694561 | − | 0.00504628i | ||||
\(304\) | −1.48947 | − | 4.58411i | −0.0854269 | − | 0.262917i | ||||
\(305\) | −1.20248 | + | 3.70086i | −0.0688539 | + | 0.211911i | ||||
\(306\) | −8.01347 | − | 5.82213i | −0.458100 | − | 0.332829i | ||||
\(307\) | −0.917520 | −0.0523656 | −0.0261828 | − | 0.999657i | \(-0.508335\pi\) | ||||
−0.0261828 | + | 0.999657i | \(0.508335\pi\) | |||||||
\(308\) | 1.48251 | + | 2.96684i | 0.0844741 | + | 0.169051i | ||||
\(309\) | −0.127078 | −0.00722924 | ||||||||
\(310\) | −1.01752 | − | 0.739269i | −0.0577911 | − | 0.0419877i | ||||
\(311\) | 0.917652 | − | 2.82424i | 0.0520353 | − | 0.160148i | −0.921662 | − | 0.387994i | \(-0.873168\pi\) |
0.973697 | + | 0.227846i | \(0.0731682\pi\) | |||||||
\(312\) | 0.0250506 | + | 0.0770979i | 0.00141821 | + | 0.00436481i | ||||
\(313\) | 0.815491 | − | 0.592489i | 0.0460943 | − | 0.0334895i | −0.564500 | − | 0.825433i | \(-0.690931\pi\) |
0.610594 | + | 0.791944i | \(0.290931\pi\) | |||||||
\(314\) | 8.17010 | − | 5.93593i | 0.461066 | − | 0.334984i | ||||
\(315\) | −0.913283 | − | 2.81080i | −0.0514577 | − | 0.158370i | ||||
\(316\) | 1.04068 | − | 3.20289i | 0.0585429 | − | 0.180176i | ||||
\(317\) | 2.81258 | + | 2.04346i | 0.157970 | + | 0.114772i | 0.663962 | − | 0.747766i | \(-0.268874\pi\) |
−0.505992 | + | 0.862538i | \(0.668874\pi\) | |||||||
\(318\) | 2.85773 | 0.160253 | ||||||||
\(319\) | −5.27009 | + | 0.792422i | −0.295069 | + | 0.0443671i | ||||
\(320\) | −1.00000 | −0.0559017 | ||||||||
\(321\) | 1.75551 | + | 1.27545i | 0.0979828 | + | 0.0711887i | ||||
\(322\) | −0.211079 | + | 0.649635i | −0.0117630 | + | 0.0362028i | ||||
\(323\) | 4.99196 | + | 15.3637i | 0.277760 | + | 0.854858i | ||||
\(324\) | −6.95835 | + | 5.05554i | −0.386575 | + | 0.280863i | ||||
\(325\) | 0.310705 | − | 0.225740i | 0.0172348 | − | 0.0125218i | ||||
\(326\) | 6.48526 | + | 19.9596i | 0.359186 | + | 1.10546i | ||||
\(327\) | 0.173197 | − | 0.533046i | 0.00957783 | − | 0.0294775i | ||||
\(328\) | −7.78363 | − | 5.65514i | −0.429779 | − | 0.312253i | ||||
\(329\) | 7.55052 | 0.416274 | ||||||||
\(330\) | 0.621258 | + | 0.322703i | 0.0341991 | + | 0.0177642i | ||||
\(331\) | 17.3885 | 0.955758 | 0.477879 | − | 0.878426i | \(-0.341406\pi\) | ||||
0.477879 | + | 0.878426i | \(0.341406\pi\) | |||||||
\(332\) | 8.51048 | + | 6.18323i | 0.467073 | + | 0.339349i | ||||
\(333\) | −0.782582 | + | 2.40854i | −0.0428853 | + | 0.131987i | ||||
\(334\) | 6.75982 | + | 20.8046i | 0.369881 | + | 1.13838i | ||||
\(335\) | 4.02383 | − | 2.92348i | 0.219845 | − | 0.159727i | ||||
\(336\) | −0.170767 | + | 0.124069i | −0.00931609 | + | 0.00676854i | ||||
\(337\) | −5.07777 | − | 15.6278i | −0.276604 | − | 0.851300i | −0.988791 | − | 0.149309i | \(-0.952295\pi\) |
0.712187 | − | 0.701990i | \(-0.247705\pi\) | |||||||
\(338\) | −3.97164 | + | 12.2235i | −0.216029 | + | 0.664868i | ||||
\(339\) | 1.74632 | + | 1.26878i | 0.0948473 | + | 0.0689106i | ||||
\(340\) | 3.35151 | 0.181761 | ||||||||
\(341\) | −2.97264 | + | 2.92641i | −0.160977 | + | 0.158474i | ||||
\(342\) | 14.2453 | 0.770298 | ||||||||
\(343\) | 0.809017 | + | 0.587785i | 0.0436828 | + | 0.0317374i | ||||
\(344\) | 2.95159 | − | 9.08407i | 0.159139 | − | 0.489780i | ||||
\(345\) | 0.0445545 | + | 0.137125i | 0.00239873 | + | 0.00738254i | ||||
\(346\) | −0.175228 | + | 0.127311i | −0.00942032 | + | 0.00684426i | ||||
\(347\) | −25.9187 | + | 18.8310i | −1.39139 | + | 1.01090i | −0.395675 | + | 0.918390i | \(0.629489\pi\) |
−0.995712 | + | 0.0925115i | \(0.970511\pi\) | |||||||
\(348\) | −0.104810 | − | 0.322573i | −0.00561843 | − | 0.0172918i | ||||
\(349\) | 11.0645 | − | 34.0530i | 0.592268 | − | 1.82281i | 0.0243859 | − | 0.999703i | \(-0.492237\pi\) |
0.567882 | − | 0.823110i | \(-0.307763\pi\) | |||||||
\(350\) | 0.809017 | + | 0.587785i | 0.0432438 | + | 0.0314184i | ||||
\(351\) | −0.482781 | −0.0257690 | ||||||||
\(352\) | −0.544486 | + | 3.27163i | −0.0290212 | + | 0.174378i | ||||
\(353\) | −15.4312 | −0.821322 | −0.410661 | − | 0.911788i | \(-0.634702\pi\) | ||||
−0.410661 | + | 0.911788i | \(0.634702\pi\) | |||||||
\(354\) | 1.24135 | + | 0.901890i | 0.0659768 | + | 0.0479349i | ||||
\(355\) | −0.259709 | + | 0.799302i | −0.0137839 | + | 0.0424225i | ||||
\(356\) | 4.64652 | + | 14.3005i | 0.246265 | + | 0.757926i | ||||
\(357\) | 0.572326 | − | 0.415819i | 0.0302907 | − | 0.0220075i | ||||
\(358\) | 13.8012 | − | 10.0272i | 0.729417 | − | 0.529952i | ||||
\(359\) | 5.21751 | + | 16.0578i | 0.275370 | + | 0.847501i | 0.989121 | + | 0.147102i | \(0.0469945\pi\) |
−0.713752 | + | 0.700399i | \(0.753005\pi\) | |||||||
\(360\) | 0.913283 | − | 2.81080i | 0.0481342 | − | 0.148142i | ||||
\(361\) | −3.42424 | − | 2.48786i | −0.180223 | − | 0.130940i | ||||
\(362\) | 3.45754 | 0.181724 | ||||||||
\(363\) | 1.39403 | − | 1.85682i | 0.0731676 | − | 0.0974576i | ||||
\(364\) | 0.384053 | 0.0201298 | ||||||||
\(365\) | −8.37214 | − | 6.08271i | −0.438218 | − | 0.318384i | ||||
\(366\) | −0.253819 | + | 0.781175i | −0.0132673 | + | 0.0408327i | ||||
\(367\) | −2.76463 | − | 8.50867i | −0.144313 | − | 0.444149i | 0.852609 | − | 0.522549i | \(-0.175019\pi\) |
−0.996922 | + | 0.0784002i | \(0.975019\pi\) | |||||||
\(368\) | −0.552613 | + | 0.401497i | −0.0288069 | + | 0.0209295i | ||||
\(369\) | 23.0041 | − | 16.7135i | 1.19755 | − | 0.870068i | ||||
\(370\) | −0.264793 | − | 0.814950i | −0.0137660 | − | 0.0423672i | ||||
\(371\) | 4.18367 | − | 12.8760i | 0.217205 | − | 0.668489i | ||||
\(372\) | −0.214777 | − | 0.156044i | −0.0111357 | − | 0.00809053i | ||||
\(373\) | 13.2408 | 0.685583 | 0.342792 | − | 0.939411i | \(-0.388627\pi\) | ||||
0.342792 | + | 0.939411i | \(0.388627\pi\) | |||||||
\(374\) | 1.82485 | − | 10.9649i | 0.0943606 | − | 0.566980i | ||||
\(375\) | 0.211079 | 0.0109001 | ||||||||
\(376\) | 6.10850 | + | 4.43808i | 0.315022 | + | 0.228877i | ||||
\(377\) | −0.190700 | + | 0.586913i | −0.00982153 | + | 0.0302276i | ||||
\(378\) | −0.388456 | − | 1.19555i | −0.0199800 | − | 0.0614922i | ||||
\(379\) | 12.8158 | − | 9.31122i | 0.658303 | − | 0.478285i | −0.207786 | − | 0.978174i | \(-0.566626\pi\) |
0.866090 | + | 0.499889i | \(0.166626\pi\) | |||||||
\(380\) | −3.89948 | + | 2.83314i | −0.200039 | + | 0.145337i | ||||
\(381\) | −1.37302 | − | 4.22573i | −0.0703422 | − | 0.216491i | ||||
\(382\) | 0.914194 | − | 2.81360i | 0.0467742 | − | 0.143956i | ||||
\(383\) | 0.102856 | + | 0.0747289i | 0.00525567 | + | 0.00381847i | 0.590410 | − | 0.807103i | \(-0.298966\pi\) |
−0.585154 | + | 0.810922i | \(0.698966\pi\) | |||||||
\(384\) | −0.211079 | −0.0107716 | ||||||||
\(385\) | 2.36351 | − | 2.32676i | 0.120456 | − | 0.118583i | ||||
\(386\) | −9.47612 | −0.482322 | ||||||||
\(387\) | 22.8378 | + | 16.5926i | 1.16091 | + | 0.843452i | ||||
\(388\) | 3.48173 | − | 10.7157i | 0.176758 | − | 0.544005i | ||||
\(389\) | 3.11376 | + | 9.58318i | 0.157874 | + | 0.485886i | 0.998441 | − | 0.0558216i | \(-0.0177778\pi\) |
−0.840567 | + | 0.541708i | \(0.817778\pi\) | |||||||
\(390\) | 0.0655834 | − | 0.0476491i | 0.00332095 | − | 0.00241281i | ||||
\(391\) | 1.85208 | − | 1.34562i | 0.0936640 | − | 0.0680509i | ||||
\(392\) | 0.309017 | + | 0.951057i | 0.0156077 | + | 0.0480356i | ||||
\(393\) | −0.845533 | + | 2.60228i | −0.0426515 | + | 0.131268i | ||||
\(394\) | −4.09678 | − | 2.97648i | −0.206393 | − | 0.149953i | ||||
\(395\) | −3.36771 | −0.169448 | ||||||||
\(396\) | −8.69860 | − | 4.51836i | −0.437121 | − | 0.227056i | ||||
\(397\) | 8.42050 | 0.422613 | 0.211306 | − | 0.977420i | \(-0.432228\pi\) | ||||
0.211306 | + | 0.977420i | \(0.432228\pi\) | |||||||
\(398\) | 17.5641 | + | 12.7611i | 0.880410 | + | 0.639655i | ||||
\(399\) | −0.314396 | + | 0.967611i | −0.0157395 | + | 0.0484411i | ||||
\(400\) | 0.309017 | + | 0.951057i | 0.0154508 | + | 0.0475528i | ||||
\(401\) | 15.3560 | − | 11.1568i | 0.766840 | − | 0.557142i | −0.134161 | − | 0.990960i | \(-0.542834\pi\) |
0.901001 | + | 0.433818i | \(0.142834\pi\) | |||||||
\(402\) | 0.849346 | − | 0.617086i | 0.0423615 | − | 0.0307775i | ||||
\(403\) | 0.149265 | + | 0.459389i | 0.00743540 | + | 0.0228838i | ||||
\(404\) | 0.218782 | − | 0.673340i | 0.0108848 | − | 0.0334999i | ||||
\(405\) | 6.95835 | + | 5.05554i | 0.345763 | + | 0.251212i | ||||
\(406\) | −1.60685 | −0.0797469 | ||||||||
\(407\) | −2.81039 | + | 0.422576i | −0.139306 | + | 0.0209463i | ||||
\(408\) | 0.707434 | 0.0350232 | ||||||||
\(409\) | −19.1681 | − | 13.9265i | −0.947803 | − | 0.688620i | 0.00248286 | − | 0.999997i | \(-0.499210\pi\) |
−0.950286 | + | 0.311377i | \(0.899210\pi\) | |||||||
\(410\) | −2.97308 | + | 9.15021i | −0.146830 | + | 0.451897i | ||||
\(411\) | −0.811873 | − | 2.49869i | −0.0400467 | − | 0.123251i | ||||
\(412\) | −0.487061 | + | 0.353871i | −0.0239958 | + | 0.0174340i | ||||
\(413\) | 5.88094 | − | 4.27276i | 0.289382 | − | 0.210249i | ||||
\(414\) | −0.623833 | − | 1.91996i | −0.0306597 | − | 0.0943610i | ||||
\(415\) | 3.25071 | − | 10.0047i | 0.159571 | − | 0.491110i | ||||
\(416\) | 0.310705 | + | 0.225740i | 0.0152336 | + | 0.0110678i | ||||
\(417\) | 2.53729 | 0.124251 | ||||||||
\(418\) | 7.14575 | + | 14.3002i | 0.349510 | + | 0.699447i | ||||
\(419\) | −2.81468 | −0.137506 | −0.0687531 | − | 0.997634i | \(-0.521902\pi\) | ||||
−0.0687531 | + | 0.997634i | \(0.521902\pi\) | |||||||
\(420\) | 0.170767 | + | 0.124069i | 0.00833256 | + | 0.00605396i | ||||
\(421\) | −0.861968 | + | 2.65287i | −0.0420098 | + | 0.129293i | −0.969862 | − | 0.243656i | \(-0.921653\pi\) |
0.927852 | + | 0.372949i | \(0.121653\pi\) | |||||||
\(422\) | 4.94362 | + | 15.2149i | 0.240652 | + | 0.740650i | ||||
\(423\) | −18.0533 | + | 13.1165i | −0.877783 | + | 0.637747i | ||||
\(424\) | 10.9530 | − | 7.95781i | 0.531924 | − | 0.386465i | ||||
\(425\) | −1.03567 | − | 3.18747i | −0.0502375 | − | 0.154615i | ||||
\(426\) | −0.0548192 | + | 0.168716i | −0.00265600 | + | 0.00817432i | ||||
\(427\) | 3.14814 | + | 2.28726i | 0.152349 | + | 0.110688i | ||||
\(428\) | 10.2801 | 0.496909 | ||||||||
\(429\) | −0.120181 | − | 0.240509i | −0.00580239 | − | 0.0116119i | ||||
\(430\) | −9.55155 | −0.460617 | ||||||||
\(431\) | 5.07723 | + | 3.68882i | 0.244561 | + | 0.177684i | 0.703313 | − | 0.710880i | \(-0.251703\pi\) |
−0.458752 | + | 0.888565i | \(0.651703\pi\) | |||||||
\(432\) | 0.388456 | − | 1.19555i | 0.0186896 | − | 0.0575207i | ||||
\(433\) | 7.83985 | + | 24.1286i | 0.376759 | + | 1.15955i | 0.942284 | + | 0.334815i | \(0.108674\pi\) |
−0.565525 | + | 0.824731i | \(0.691326\pi\) | |||||||
\(434\) | −1.01752 | + | 0.739269i | −0.0488424 | + | 0.0354861i | ||||
\(435\) | −0.274397 | + | 0.199361i | −0.0131563 | + | 0.00955864i | ||||
\(436\) | −0.820532 | − | 2.52534i | −0.0392963 | − | 0.120942i | ||||
\(437\) | −1.01741 | + | 3.13126i | −0.0486692 | + | 0.149788i | ||||
\(438\) | −1.76718 | − | 1.28393i | −0.0844394 | − | 0.0613488i | ||||
\(439\) | 14.4302 | 0.688715 | 0.344357 | − | 0.938839i | \(-0.388097\pi\) | ||||
0.344357 | + | 0.938839i | \(0.388097\pi\) | |||||||
\(440\) | 3.27976 | − | 0.493151i | 0.156356 | − | 0.0235101i | ||||
\(441\) | −2.95545 | −0.140736 | ||||||||
\(442\) | −1.04133 | − | 0.756570i | −0.0495310 | − | 0.0359864i | ||||
\(443\) | 7.26629 | − | 22.3633i | 0.345232 | − | 1.06251i | −0.616228 | − | 0.787568i | \(-0.711340\pi\) |
0.961460 | − | 0.274946i | \(-0.0886600\pi\) | |||||||
\(444\) | −0.0558924 | − | 0.172019i | −0.00265254 | − | 0.00816367i | ||||
\(445\) | 12.1648 | − | 8.83821i | 0.576665 | − | 0.418971i | ||||
\(446\) | −2.25220 | + | 1.63632i | −0.106645 | + | 0.0774819i | ||||
\(447\) | −0.793347 | − | 2.44167i | −0.0375240 | − | 0.115487i | ||||
\(448\) | −0.309017 | + | 0.951057i | −0.0145997 | + | 0.0449332i | ||||
\(449\) | 5.12808 | + | 3.72577i | 0.242009 | + | 0.175830i | 0.702178 | − | 0.712002i | \(-0.252211\pi\) |
−0.460169 | + | 0.887831i | \(0.652211\pi\) | |||||||
\(450\) | −2.95545 | −0.139321 | ||||||||
\(451\) | 28.3173 | + | 14.7090i | 1.33341 | + | 0.692618i | ||||
\(452\) | 10.2264 | 0.481008 | ||||||||
\(453\) | −3.46021 | − | 2.51399i | −0.162575 | − | 0.118118i | ||||
\(454\) | −4.85579 | + | 14.9446i | −0.227893 | + | 0.701384i | ||||
\(455\) | −0.118679 | − | 0.365256i | −0.00556375 | − | 0.0171235i | ||||
\(456\) | −0.823099 | + | 0.598017i | −0.0385451 | + | 0.0280047i | ||||
\(457\) | 3.30350 | − | 2.40013i | 0.154531 | − | 0.112274i | −0.507833 | − | 0.861456i | \(-0.669553\pi\) |
0.662364 | + | 0.749182i | \(0.269553\pi\) | |||||||
\(458\) | 5.27540 | + | 16.2360i | 0.246503 | + | 0.758659i | ||||
\(459\) | −1.30191 | + | 4.00688i | −0.0607681 | + | 0.187025i | ||||
\(460\) | 0.552613 | + | 0.401497i | 0.0257657 | + | 0.0187199i | ||||
\(461\) | 27.7053 | 1.29037 | 0.645183 | − | 0.764028i | \(-0.276781\pi\) | ||||
0.645183 | + | 0.764028i | \(0.276781\pi\) | |||||||
\(462\) | 0.498888 | − | 0.491131i | 0.0232104 | − | 0.0228495i | ||||
\(463\) | −30.6895 | −1.42626 | −0.713131 | − | 0.701030i | \(-0.752724\pi\) | ||||
−0.713131 | + | 0.701030i | \(0.752724\pi\) | |||||||
\(464\) | −1.29997 | − | 0.944486i | −0.0603497 | − | 0.0438466i | ||||
\(465\) | −0.0820374 | + | 0.252485i | −0.00380439 | + | 0.0117087i | ||||
\(466\) | −2.22987 | − | 6.86284i | −0.103297 | − | 0.317915i | ||||
\(467\) | 4.67950 | − | 3.39985i | 0.216541 | − | 0.157326i | −0.474227 | − | 0.880403i | \(-0.657272\pi\) |
0.690768 | + | 0.723076i | \(0.257272\pi\) | |||||||
\(468\) | −0.918272 | + | 0.667164i | −0.0424471 | + | 0.0308396i | ||||
\(469\) | −1.53696 | − | 4.73029i | −0.0709704 | − | 0.218425i | ||||
\(470\) | 2.33324 | − | 7.18097i | 0.107624 | − | 0.331233i | ||||
\(471\) | −1.72454 | − | 1.25295i | −0.0794626 | − | 0.0577329i | ||||
\(472\) | 7.26925 | 0.334594 | ||||||||
\(473\) | −5.20069 | + | 31.2491i | −0.239128 | + | 1.43684i | ||||
\(474\) | −0.710855 | −0.0326506 | ||||||||
\(475\) | 3.89948 | + | 2.83314i | 0.178920 | + | 0.129993i | ||||
\(476\) | 1.03567 | − | 3.18747i | 0.0474700 | − | 0.146098i | ||||
\(477\) | 12.3646 | + | 38.0543i | 0.566136 | + | 1.74239i | ||||
\(478\) | 3.96880 | − | 2.88350i | 0.181529 | − | 0.131888i | ||||
\(479\) | −5.38508 | + | 3.91249i | −0.246050 | + | 0.178766i | −0.703975 | − | 0.710225i | \(-0.748593\pi\) |
0.457924 | + | 0.888991i | \(0.348593\pi\) | |||||||
\(480\) | 0.0652271 | + | 0.200748i | 0.00297720 | + | 0.00916287i | ||||
\(481\) | −0.101695 | + | 0.312984i | −0.00463687 | + | 0.0142708i | ||||
\(482\) | −19.0170 | − | 13.8166i | −0.866200 | − | 0.629331i | ||||
\(483\) | 0.144181 | 0.00656048 | ||||||||
\(484\) | 0.172376 | − | 10.9986i | 0.00783527 | − | 0.499939i | ||||
\(485\) | −11.2671 | −0.511613 | ||||||||
\(486\) | 4.51974 | + | 3.28378i | 0.205020 | + | 0.148955i | ||||
\(487\) | −0.988197 | + | 3.04136i | −0.0447795 | + | 0.137817i | −0.970947 | − | 0.239296i | \(-0.923083\pi\) |
0.926167 | + | 0.377113i | \(0.123083\pi\) | |||||||
\(488\) | 1.20248 | + | 3.70086i | 0.0544338 | + | 0.167530i | ||||
\(489\) | 3.58384 | − | 2.60381i | 0.162067 | − | 0.117748i | ||||
\(490\) | 0.809017 | − | 0.587785i | 0.0365477 | − | 0.0265534i | ||||
\(491\) | 0.773552 | + | 2.38075i | 0.0349099 | + | 0.107442i | 0.966993 | − | 0.254803i | \(-0.0820106\pi\) |
−0.932083 | + | 0.362244i | \(0.882011\pi\) | |||||||
\(492\) | −0.627556 | + | 1.93142i | −0.0282924 | + | 0.0870751i | ||||
\(493\) | 4.35687 | + | 3.16545i | 0.196223 | + | 0.142565i | ||||
\(494\) | 1.85114 | 0.0832868 | ||||||||
\(495\) | −1.60920 | + | 9.66911i | −0.0723281 | + | 0.434594i | ||||
\(496\) | −1.25772 | −0.0564733 | ||||||||
\(497\) | 0.679927 | + | 0.493996i | 0.0304989 | + | 0.0221587i | ||||
\(498\) | 0.686158 | − | 2.11178i | 0.0307475 | − | 0.0946311i | ||||
\(499\) | 6.70334 | + | 20.6307i | 0.300083 | + | 0.923559i | 0.981467 | + | 0.191633i | \(0.0613784\pi\) |
−0.681384 | + | 0.731926i | \(0.738622\pi\) | |||||||
\(500\) | 0.809017 | − | 0.587785i | 0.0361803 | − | 0.0262866i | ||||
\(501\) | 3.73556 | − | 2.71405i | 0.166893 | − | 0.121255i | ||||
\(502\) | −1.88080 | − | 5.78850i | −0.0839441 | − | 0.258353i | ||||
\(503\) | −0.465410 | + | 1.43238i | −0.0207516 | + | 0.0638668i | −0.960896 | − | 0.276909i | \(-0.910690\pi\) |
0.940144 | + | 0.340776i | \(0.110690\pi\) | |||||||
\(504\) | −2.39101 | − | 1.73717i | −0.106504 | − | 0.0773796i | ||||
\(505\) | −0.707992 | −0.0315052 | ||||||||
\(506\) | 1.61444 | − | 1.58933i | 0.0717705 | − | 0.0706545i | ||||
\(507\) | 2.71290 | 0.120484 | ||||||||
\(508\) | −17.0297 | − | 12.3728i | −0.755572 | − | 0.548955i | ||||
\(509\) | 3.60984 | − | 11.1099i | 0.160003 | − | 0.492439i | −0.838630 | − | 0.544701i | \(-0.816643\pi\) |
0.998633 | + | 0.0522620i | \(0.0166431\pi\) | |||||||
\(510\) | −0.218609 | − | 0.672809i | −0.00968017 | − | 0.0297925i | ||||
\(511\) | −8.37214 | + | 6.08271i | −0.370362 | + | 0.269083i | ||||
\(512\) | −0.809017 | + | 0.587785i | −0.0357538 | + | 0.0259767i | ||||
\(513\) | −1.87237 | − | 5.76256i | −0.0826671 | − | 0.254423i | ||||
\(514\) | 0.546725 | − | 1.68265i | 0.0241150 | − | 0.0742183i | ||||
\(515\) | 0.487061 | + | 0.353871i | 0.0214625 | + | 0.0155934i | ||||
\(516\) | −2.01614 | −0.0887554 | ||||||||
\(517\) | −22.2230 | − | 11.5434i | −0.977368 | − | 0.507679i | ||||
\(518\) | −0.856889 | −0.0376496 | ||||||||
\(519\) | 0.0369870 | + | 0.0268726i | 0.00162355 | + | 0.00117958i | ||||
\(520\) | 0.118679 | − | 0.365256i | 0.00520441 | − | 0.0160175i | ||||
\(521\) | −1.88807 | − | 5.81087i | −0.0827176 | − | 0.254579i | 0.901141 | − | 0.433526i | \(-0.142731\pi\) |
−0.983859 | + | 0.178947i | \(0.942731\pi\) | |||||||
\(522\) | 3.84200 | − | 2.79138i | 0.168160 | − | 0.122175i | ||||
\(523\) | −4.74800 | + | 3.44963i | −0.207616 | + | 0.150842i | −0.686734 | − | 0.726909i | \(-0.740956\pi\) |
0.479119 | + | 0.877750i | \(0.340956\pi\) | |||||||
\(524\) | 4.00576 | + | 12.3285i | 0.174992 | + | 0.538571i | ||||
\(525\) | 0.0652271 | − | 0.200748i | 0.00284674 | − | 0.00876138i | ||||
\(526\) | −16.9445 | − | 12.3109i | −0.738817 | − | 0.536782i | ||||
\(527\) | 4.21526 | 0.183619 | ||||||||
\(528\) | 0.692289 | − | 0.104094i | 0.0301280 | − | 0.00453011i | ||||
\(529\) | −22.5334 | −0.979714 | ||||||||
\(530\) | −10.9530 | − | 7.95781i | −0.475767 | − | 0.345665i | ||||
\(531\) | −6.63888 | + | 20.4324i | −0.288103 | + | 0.886689i | ||||
\(532\) | 1.48947 | + | 4.58411i | 0.0645766 | + | 0.198746i | ||||
\(533\) | 2.98932 | − | 2.17187i | 0.129482 | − | 0.0940742i | ||||
\(534\) | 2.56773 | − | 1.86556i | 0.111116 | − | 0.0807308i | ||||
\(535\) | −3.17674 | − | 9.77699i | −0.137342 | − | 0.422696i | ||||
\(536\) | 1.53696 | − | 4.73029i | 0.0663868 | − | 0.204317i | ||||
\(537\) | −2.91315 | − | 2.11653i | −0.125712 | − | 0.0913349i | ||||
\(538\) | −28.7266 | −1.23849 | ||||||||
\(539\) | −1.48251 | − | 2.96684i | −0.0638564 | − | 0.127791i | ||||
\(540\) | −1.25707 | −0.0540957 | ||||||||
\(541\) | 2.03352 | + | 1.47744i | 0.0874278 | + | 0.0635200i | 0.630640 | − | 0.776075i | \(-0.282792\pi\) |
−0.543213 | + | 0.839595i | \(0.682792\pi\) | |||||||
\(542\) | −1.42127 | + | 4.37421i | −0.0610487 | + | 0.187888i | ||||
\(543\) | −0.225525 | − | 0.694095i | −0.00967820 | − | 0.0297865i | ||||
\(544\) | 2.71143 | − | 1.96997i | 0.116251 | − | 0.0844616i | ||||
\(545\) | −2.14818 | + | 1.56074i | −0.0920179 | + | 0.0668549i | ||||
\(546\) | −0.0250506 | − | 0.0770979i | −0.00107207 | − | 0.00329949i | ||||
\(547\) | −4.53591 | + | 13.9601i | −0.193941 | + | 0.596890i | 0.806046 | + | 0.591853i | \(0.201603\pi\) |
−0.999987 | + | 0.00503728i | \(0.998397\pi\) | |||||||
\(548\) | −10.0697 | − | 7.31608i | −0.430157 | − | 0.312528i | ||||
\(549\) | −11.5006 | −0.490832 | ||||||||
\(550\) | −1.48251 | − | 2.96684i | −0.0632146 | − | 0.126507i | ||||
\(551\) | −7.74507 | −0.329951 | ||||||||
\(552\) | 0.116645 | + | 0.0847476i | 0.00496475 | + | 0.00360710i | ||||
\(553\) | −1.04068 | + | 3.20289i | −0.0442543 | + | 0.136201i | ||||
\(554\) | 7.39093 | + | 22.7469i | 0.314010 | + | 0.966425i | ||||
\(555\) | −0.146328 | + | 0.106314i | −0.00621129 | + | 0.00451276i | ||||
\(556\) | 9.72482 | − | 7.06549i | 0.412424 | − | 0.299644i | ||||
\(557\) | −6.58747 | − | 20.2742i | −0.279120 | − | 0.859044i | −0.988100 | − | 0.153815i | \(-0.950844\pi\) |
0.708979 | − | 0.705229i | \(-0.249156\pi\) | |||||||
\(558\) | 1.14865 | − | 3.53519i | 0.0486264 | − | 0.149657i | ||||
\(559\) | 2.96772 | + | 2.15617i | 0.125521 | + | 0.0911964i | ||||
\(560\) | 1.00000 | 0.0422577 | ||||||||
\(561\) | −2.32021 | + | 0.348872i | −0.0979593 | + | 0.0147294i | ||||
\(562\) | 24.2413 | 1.02256 | ||||||||
\(563\) | −26.7451 | − | 19.4315i | −1.12717 | − | 0.818938i | −0.141891 | − | 0.989882i | \(-0.545318\pi\) |
−0.985281 | + | 0.170944i | \(0.945318\pi\) | |||||||
\(564\) | 0.492498 | − | 1.51575i | 0.0207379 | − | 0.0638248i | ||||
\(565\) | −3.16012 | − | 9.72586i | −0.132947 | − | 0.409170i | ||||
\(566\) | −1.78659 | + | 1.29804i | −0.0750961 | + | 0.0545605i | ||||
\(567\) | 6.95835 | − | 5.05554i | 0.292223 | − | 0.212313i | ||||
\(568\) | 0.259709 | + | 0.799302i | 0.0108971 | + | 0.0335379i | ||||
\(569\) | 14.2354 | − | 43.8119i | 0.596777 | − | 1.83669i | 0.0511031 | − | 0.998693i | \(-0.483726\pi\) |
0.545674 | − | 0.837998i | \(-0.316274\pi\) | |||||||
\(570\) | 0.823099 | + | 0.598017i | 0.0344758 | + | 0.0250482i | ||||
\(571\) | 24.0901 | 1.00814 | 0.504070 | − | 0.863663i | \(-0.331835\pi\) | ||||
0.504070 | + | 0.863663i | \(0.331835\pi\) | |||||||
\(572\) | −1.13036 | − | 0.587149i | −0.0472628 | − | 0.0245499i | ||||
\(573\) | −0.624456 | −0.0260870 | ||||||||
\(574\) | 7.78363 | + | 5.65514i | 0.324882 | + | 0.236041i | ||||
\(575\) | 0.211079 | − | 0.649635i | 0.00880262 | − | 0.0270917i | ||||
\(576\) | −0.913283 | − | 2.81080i | −0.0380535 | − | 0.117116i | ||||
\(577\) | 7.78779 | − | 5.65816i | 0.324210 | − | 0.235552i | −0.413760 | − | 0.910386i | \(-0.635785\pi\) |
0.737970 | + | 0.674834i | \(0.235785\pi\) | |||||||
\(578\) | 4.66593 | − | 3.39000i | 0.194077 | − | 0.141005i | ||||
\(579\) | 0.618100 | + | 1.90232i | 0.0256874 | + | 0.0790575i | ||||
\(580\) | −0.496545 | + | 1.52821i | −0.0206179 | + | 0.0634555i | ||||
\(581\) | −8.51048 | − | 6.18323i | −0.353074 | − | 0.256523i | ||||
\(582\) | −2.37825 | −0.0985818 | ||||||||
\(583\) | −31.9987 | + | 31.5012i | −1.32525 | + | 1.30464i | ||||
\(584\) | −10.3485 | −0.428225 | ||||||||
\(585\) | 0.918272 | + | 0.667164i | 0.0379659 | + | 0.0275838i | ||||
\(586\) | −6.75948 | + | 20.8035i | −0.279231 | + | 0.859386i | ||||
\(587\) | −14.9203 | − | 45.9198i | −0.615825 | − | 1.89531i | −0.388254 | − | 0.921552i | \(-0.626922\pi\) |
−0.227570 | − | 0.973762i | \(-0.573078\pi\) | |||||||
\(588\) | 0.170767 | − | 0.124069i | 0.00704230 | − | 0.00511653i | ||||
\(589\) | −4.90445 | + | 3.56329i | −0.202084 | + | 0.146823i | ||||
\(590\) | −2.24632 | − | 6.91346i | −0.0924796 | − | 0.284623i | ||||
\(591\) | −0.330303 | + | 1.01657i | −0.0135869 | + | 0.0418160i | ||||
\(592\) | −0.693238 | − | 0.503667i | −0.0284919 | − | 0.0207006i | ||||
\(593\) | −22.5234 | −0.924924 | −0.462462 | − | 0.886639i | \(-0.653034\pi\) | ||||
−0.462462 | + | 0.886639i | \(0.653034\pi\) | |||||||
\(594\) | −0.684458 | + | 4.11267i | −0.0280836 | + | 0.168745i | ||||
\(595\) | −3.35151 | −0.137398 | ||||||||
\(596\) | −9.83995 | − | 7.14914i | −0.403060 | − | 0.292840i | ||||
\(597\) | 1.41611 | − | 4.35834i | 0.0579575 | − | 0.178375i | ||||
\(598\) | −0.0810656 | − | 0.249494i | −0.00331502 | − | 0.0102026i | ||||
\(599\) | 21.7386 | − | 15.7940i | 0.888215 | − | 0.645326i | −0.0471971 | − | 0.998886i | \(-0.515029\pi\) |
0.935412 | + | 0.353560i | \(0.115029\pi\) | |||||||
\(600\) | 0.170767 | − | 0.124069i | 0.00697152 | − | 0.00506511i | ||||
\(601\) | 13.1660 | + | 40.5209i | 0.537054 | + | 1.65288i | 0.739169 | + | 0.673520i | \(0.235219\pi\) |
−0.202115 | + | 0.979362i | \(0.564781\pi\) | |||||||
\(602\) | −2.95159 | + | 9.08407i | −0.120298 | + | 0.370239i | ||||
\(603\) | 11.8922 | + | 8.64019i | 0.484288 | + | 0.351856i | ||||
\(604\) | −20.2628 | −0.824481 | ||||||||
\(605\) | −10.5136 | + | 3.23483i | −0.427439 | + | 0.131515i | ||||
\(606\) | −0.149442 | −0.00607068 | ||||||||
\(607\) | 13.6276 | + | 9.90101i | 0.553126 | + | 0.401870i | 0.828937 | − | 0.559342i | \(-0.188946\pi\) |
−0.275811 | + | 0.961212i | \(0.588946\pi\) | |||||||
\(608\) | −1.48947 | + | 4.58411i | −0.0604059 | + | 0.185910i | ||||
\(609\) | 0.104810 | + | 0.322573i | 0.00424713 | + | 0.0130713i | ||||
\(610\) | 3.14814 | − | 2.28726i | 0.127464 | − | 0.0926083i | ||||
\(611\) | −2.34598 | + | 1.70446i | −0.0949084 | + | 0.0689550i | ||||
\(612\) | 3.06087 | + | 9.42040i | 0.123728 | + | 0.380797i | ||||
\(613\) | −9.25827 | + | 28.4940i | −0.373938 | + | 1.15086i | 0.570254 | + | 0.821468i | \(0.306845\pi\) |
−0.944192 | + | 0.329395i | \(0.893155\pi\) | |||||||
\(614\) | 0.742289 | + | 0.539304i | 0.0299563 | + | 0.0217646i | ||||
\(615\) | 2.03081 | 0.0818903 | ||||||||
\(616\) | 0.544486 | − | 3.27163i | 0.0219380 | − | 0.131818i | ||||
\(617\) | −9.21777 | −0.371093 | −0.185547 | − | 0.982635i | \(-0.559406\pi\) | ||||
−0.185547 | + | 0.982635i | \(0.559406\pi\) | |||||||
\(618\) | 0.102809 | + | 0.0746948i | 0.00413557 | + | 0.00300467i | ||||
\(619\) | −10.5485 | + | 32.4648i | −0.423979 | + | 1.30487i | 0.479990 | + | 0.877274i | \(0.340640\pi\) |
−0.903969 | + | 0.427598i | \(0.859360\pi\) | |||||||
\(620\) | 0.388657 | + | 1.19616i | 0.0156088 | + | 0.0480391i | ||||
\(621\) | −0.694674 | + | 0.504710i | −0.0278763 | + | 0.0202533i | ||||
\(622\) | −2.40244 | + | 1.74548i | −0.0963292 | + | 0.0699873i | ||||
\(623\) | −4.64652 | − | 14.3005i | −0.186159 | − | 0.572938i | ||||
\(624\) | 0.0250506 | − | 0.0770979i | 0.00100283 | − | 0.00308639i | ||||
\(625\) | −0.809017 | − | 0.587785i | −0.0323607 | − | 0.0235114i | ||||
\(626\) | −1.00800 | −0.0402879 | ||||||||
\(627\) | 2.40465 | − | 2.36726i | 0.0960326 | − | 0.0945393i | ||||
\(628\) | −10.0988 | −0.402986 | ||||||||
\(629\) | 2.32339 | + | 1.68804i | 0.0926397 | + | 0.0673067i | ||||
\(630\) | −0.913283 | + | 2.81080i | −0.0363861 | + | 0.111985i | ||||
\(631\) | −6.07889 | − | 18.7089i | −0.241997 | − | 0.744790i | −0.996116 | − | 0.0880521i | \(-0.971936\pi\) |
0.754119 | − | 0.656738i | \(-0.228064\pi\) | |||||||
\(632\) | −2.72454 | + | 1.97949i | −0.108376 | + | 0.0787400i | ||||
\(633\) | 2.73191 | − | 1.98485i | 0.108584 | − | 0.0788907i | ||||
\(634\) | −1.07431 | − | 3.30638i | −0.0426662 | − | 0.131313i | ||||
\(635\) | −6.50478 | + | 20.0196i | −0.258134 | + | 0.794456i | ||||
\(636\) | −2.31195 | − | 1.67973i | −0.0916747 | − | 0.0666056i | ||||
\(637\) | −0.384053 | −0.0152167 | ||||||||
\(638\) | 4.72937 | + | 2.45660i | 0.187237 | + | 0.0972577i | ||||
\(639\) | −2.48386 | −0.0982600 | ||||||||
\(640\) | 0.809017 | + | 0.587785i | 0.0319792 | + | 0.0232343i | ||||
\(641\) | −2.09646 | + | 6.45224i | −0.0828051 | + | 0.254848i | −0.983884 | − | 0.178807i | \(-0.942776\pi\) |
0.901079 | + | 0.433655i | \(0.142776\pi\) | |||||||
\(642\) | −0.670544 | − | 2.06372i | −0.0264642 | − | 0.0814486i | ||||
\(643\) | −6.18721 | + | 4.49527i | −0.244000 | + | 0.177276i | −0.703063 | − | 0.711127i | \(-0.748185\pi\) |
0.459064 | + | 0.888403i | \(0.348185\pi\) | |||||||
\(644\) | 0.552613 | − | 0.401497i | 0.0217760 | − | 0.0158212i | ||||
\(645\) | 0.623020 | + | 1.91746i | 0.0245314 | + | 0.0754999i | ||||
\(646\) | 4.99196 | − | 15.3637i | 0.196406 | − | 0.604476i | ||||
\(647\) | −10.0726 | − | 7.31815i | −0.395994 | − | 0.287706i | 0.371914 | − | 0.928267i | \(-0.378702\pi\) |
−0.767907 | + | 0.640561i | \(0.778702\pi\) | |||||||
\(648\) | 8.60099 | 0.337879 | ||||||||
\(649\) | −23.8414 | + | 3.58484i | −0.935855 | + | 0.140717i | ||||
\(650\) | −0.384053 | −0.0150638 | ||||||||
\(651\) | 0.214777 | + | 0.156044i | 0.00841776 | + | 0.00611586i | ||||
\(652\) | 6.48526 | − | 19.9596i | 0.253983 | − | 0.781678i | ||||
\(653\) | 10.0636 | + | 30.9725i | 0.393819 | + | 1.21205i | 0.929878 | + | 0.367868i | \(0.119912\pi\) |
−0.536059 | + | 0.844180i | \(0.680088\pi\) | |||||||
\(654\) | −0.453436 | + | 0.329441i | −0.0177308 | + | 0.0128822i | ||||
\(655\) | 10.4872 | − | 7.61940i | 0.409769 | − | 0.297715i | ||||
\(656\) | 2.97308 | + | 9.15021i | 0.116079 | + | 0.357256i | ||||
\(657\) | 9.45114 | − | 29.0876i | 0.368724 | − | 1.13482i | ||||
\(658\) | −6.10850 | − | 4.43808i | −0.238134 | − | 0.173014i | ||||
\(659\) | 13.3486 | 0.519990 | 0.259995 | − | 0.965610i | \(-0.416279\pi\) | ||||
0.259995 | + | 0.965610i | \(0.416279\pi\) | |||||||
\(660\) | −0.312928 | − | 0.626239i | −0.0121807 | − | 0.0243763i | ||||
\(661\) | 37.5491 | 1.46049 | 0.730246 | − | 0.683184i | \(-0.239405\pi\) | ||||
0.730246 | + | 0.683184i | \(0.239405\pi\) | |||||||
\(662\) | −14.0676 | − | 10.2207i | −0.546752 | − | 0.397239i | ||||
\(663\) | −0.0839573 | + | 0.258394i | −0.00326063 | + | 0.0100352i | ||||
\(664\) | −3.25071 | − | 10.0047i | −0.126152 | − | 0.388256i | ||||
\(665\) | 3.89948 | − | 2.83314i | 0.151215 | − | 0.109864i | ||||
\(666\) | 2.04883 | − | 1.48856i | 0.0793904 | − | 0.0576805i | ||||
\(667\) | 0.339174 | + | 1.04387i | 0.0131329 | + | 0.0404188i | ||||
\(668\) | 6.75982 | − | 20.8046i | 0.261545 | − | 0.804954i | ||||
\(669\) | 0.475393 | + | 0.345393i | 0.0183797 | + | 0.0133537i | ||||
\(670\) | −4.97372 | −0.192152 | ||||||||
\(671\) | −5.76893 | − | 11.5449i | −0.222707 | − | 0.445686i | ||||
\(672\) | 0.211079 | 0.00814256 | ||||||||
\(673\) | 4.95740 | + | 3.60176i | 0.191094 | + | 0.138838i | 0.679218 | − | 0.733936i | \(-0.262319\pi\) |
−0.488125 | + | 0.872774i | \(0.662319\pi\) | |||||||
\(674\) | −5.07777 | + | 15.6278i | −0.195589 | + | 0.601960i | ||||
\(675\) | 0.388456 | + | 1.19555i | 0.0149517 | + | 0.0460166i | ||||
\(676\) | 10.3979 | − | 7.55451i | 0.399919 | − | 0.290558i | ||||
\(677\) | −12.7401 | + | 9.25620i | −0.489641 | + | 0.355745i | −0.805046 | − | 0.593212i | \(-0.797859\pi\) |
0.315405 | + | 0.948957i | \(0.397859\pi\) | |||||||
\(678\) | −0.667036 | − | 2.05293i | −0.0256174 | − | 0.0788422i | ||||
\(679\) | −3.48173 | + | 10.7157i | −0.133616 | + | 0.411229i | ||||
\(680\) | −2.71143 | − | 1.96997i | −0.103978 | − | 0.0755447i | ||||
\(681\) | 3.31683 | 0.127101 | ||||||||
\(682\) | 4.12502 | − | 0.620246i | 0.157955 | − | 0.0237504i | ||||
\(683\) | −15.0157 | −0.574559 | −0.287280 | − | 0.957847i | \(-0.592751\pi\) | ||||
−0.287280 | + | 0.957847i | \(0.592751\pi\) | |||||||
\(684\) | −11.5247 | − | 8.37318i | −0.440658 | − | 0.320157i | ||||
\(685\) | −3.84629 | + | 11.8377i | −0.146959 | + | 0.452294i | ||||
\(686\) | −0.309017 | − | 0.951057i | −0.0117983 | − | 0.0363115i | ||||
\(687\) | 2.91525 | − | 2.11806i | 0.111224 | − | 0.0808089i | ||||
\(688\) | −7.72737 | + | 5.61426i | −0.294603 | + | 0.214042i | ||||
\(689\) | 1.60675 | + | 4.94506i | 0.0612123 | + | 0.188392i | ||||
\(690\) | 0.0445545 | − | 0.137125i | 0.00169616 | − | 0.00522024i | ||||
\(691\) | −24.7191 | − | 17.9595i | −0.940359 | − | 0.683211i | 0.00814785 | − | 0.999967i | \(-0.497406\pi\) |
−0.948507 | + | 0.316756i | \(0.897406\pi\) | |||||||
\(692\) | 0.216594 | 0.00823366 | ||||||||
\(693\) | 8.69860 | + | 4.51836i | 0.330433 | + | 0.171638i | ||||
\(694\) | 32.0372 | 1.21612 | ||||||||
\(695\) | −9.72482 | − | 7.06549i | −0.368883 | − | 0.268009i | ||||
\(696\) | −0.104810 | + | 0.322573i | −0.00397283 | + | 0.0122271i | ||||
\(697\) | −9.96430 | − | 30.6670i | −0.377425 | − | 1.16159i | ||||
\(698\) | −28.9672 | + | 21.0459i | −1.09642 | + | 0.796598i | ||||
\(699\) | −1.23226 | + | 0.895287i | −0.0466082 | + | 0.0338629i | ||||
\(700\) | −0.309017 | − | 0.951057i | −0.0116797 | − | 0.0359466i | ||||
\(701\) | −1.21416 | + | 3.73681i | −0.0458583 | + | 0.141137i | −0.971364 | − | 0.237597i | \(-0.923640\pi\) |
0.925506 | + | 0.378734i | \(0.123640\pi\) | |||||||
\(702\) | 0.390578 | + | 0.283772i | 0.0147414 | + | 0.0107103i | ||||
\(703\) | −4.13022 | −0.155774 | ||||||||
\(704\) | 2.36351 | − | 2.32676i | 0.0890782 | − | 0.0876931i | ||||
\(705\) | −1.59376 | −0.0600244 | ||||||||
\(706\) | 12.4841 | + | 9.07026i | 0.469847 | + | 0.341364i | ||||
\(707\) | −0.218782 | + | 0.673340i | −0.00822813 | + | 0.0253236i | ||||
\(708\) | −0.474152 | − | 1.45929i | −0.0178197 | − | 0.0548434i | ||||
\(709\) | −19.5180 | + | 14.1806i | −0.733013 | + | 0.532565i | −0.890515 | − | 0.454954i | \(-0.849656\pi\) |
0.157502 | + | 0.987519i | \(0.449656\pi\) | |||||||
\(710\) | 0.679927 | − | 0.493996i | 0.0255172 | − | 0.0185393i | ||||
\(711\) | −3.07568 | − | 9.46596i | −0.115347 | − | 0.355001i | ||||
\(712\) | 4.64652 | − | 14.3005i | 0.174136 | − | 0.535935i | ||||
\(713\) | 0.695032 | + | 0.504970i | 0.0260292 | + | 0.0189113i | ||||
\(714\) | −0.707434 | −0.0264750 | ||||||||
\(715\) | −0.209111 | + | 1.25648i | −0.00782032 | + | 0.0469896i | ||||
\(716\) | −17.0592 | −0.637534 | ||||||||
\(717\) | −0.837731 | − | 0.608647i | −0.0312856 | − | 0.0227304i | ||||
\(718\) | 5.21751 | − | 16.0578i | 0.194716 | − | 0.599274i | ||||
\(719\) | −13.5542 | − | 41.7154i | −0.505485 | − | 1.55572i | −0.799953 | − | 0.600062i | \(-0.795142\pi\) |
0.294468 | − | 0.955661i | \(-0.404858\pi\) | |||||||
\(720\) | −2.39101 | + | 1.73717i | −0.0891075 | + | 0.0647404i | ||||
\(721\) | 0.487061 | − | 0.353871i | 0.0181391 | − | 0.0131788i | ||||
\(722\) | 1.30794 | + | 4.02544i | 0.0486766 | + | 0.149811i | ||||
\(723\) | −1.53325 | + | 4.71885i | −0.0570221 | + | 0.175496i | ||||
\(724\) | −2.79721 | − | 2.03229i | −0.103957 | − | 0.0755294i | ||||
\(725\) | 1.60685 | 0.0596771 | ||||||||
\(726\) | −2.21920 | + | 0.682806i | −0.0823624 | + | 0.0253413i | ||||
\(727\) | −20.7183 | −0.768400 | −0.384200 | − | 0.923250i | \(-0.625523\pi\) | ||||
−0.384200 | + | 0.923250i | \(0.625523\pi\) | |||||||
\(728\) | −0.310705 | − | 0.225740i | −0.0115155 | − | 0.00836650i | ||||
\(729\) | −7.60916 | + | 23.4186i | −0.281821 | + | 0.867355i | ||||
\(730\) | 3.19787 | + | 9.84204i | 0.118359 | + | 0.364270i | ||||
\(731\) | 25.8983 | − | 18.8162i | 0.957884 | − | 0.695944i | ||||
\(732\) | 0.664507 | − | 0.482793i | 0.0245609 | − | 0.0178445i | ||||
\(733\) | −10.2029 | − | 31.4013i | −0.376853 | − | 1.15983i | −0.942220 | − | 0.334995i | \(-0.891265\pi\) |
0.565367 | − | 0.824840i | \(-0.308735\pi\) | |||||||
\(734\) | −2.76463 | + | 8.50867i | −0.102044 | + | 0.314061i | ||||
\(735\) | −0.170767 | − | 0.124069i | −0.00629883 | − | 0.00457637i | ||||
\(736\) | 0.683067 | 0.0251782 | ||||||||
\(737\) | −2.70812 | + | 16.2722i | −0.0997550 | + | 0.599393i | ||||
\(738\) | −28.4346 | −1.04669 | ||||||||
\(739\) | −4.22246 | − | 3.06780i | −0.155326 | − | 0.112851i | 0.507408 | − | 0.861706i | \(-0.330604\pi\) |
−0.662734 | + | 0.748855i | \(0.730604\pi\) | |||||||
\(740\) | −0.264793 | + | 0.814950i | −0.00973400 | + | 0.0299582i | ||||
\(741\) | −0.120745 | − | 0.371614i | −0.00443566 | − | 0.0136516i | ||||
\(742\) | −10.9530 | + | 7.95781i | −0.402097 | + | 0.292140i | ||||
\(743\) | −26.3269 | + | 19.1276i | −0.965841 | + | 0.701725i | −0.954500 | − | 0.298211i | \(-0.903610\pi\) |
−0.0113413 | + | 0.999936i | \(0.503610\pi\) | |||||||
\(744\) | 0.0820374 | + | 0.252485i | 0.00300764 | + | 0.00925656i | ||||
\(745\) | −3.75853 | + | 11.5676i | −0.137702 | + | 0.423802i | ||||
\(746\) | −10.7120 | − | 7.78276i | −0.392196 | − | 0.284947i | ||||
\(747\) | 31.0899 | 1.13752 | ||||||||
\(748\) | −7.92132 | + | 7.79815i | −0.289632 | + | 0.285129i | ||||
\(749\) | −10.2801 | −0.375628 | ||||||||
\(750\) | −0.170767 | − | 0.124069i | −0.00623552 | − | 0.00453037i | ||||
\(751\) | 14.5842 | − | 44.8856i | 0.532185 | − | 1.63790i | −0.217469 | − | 0.976067i | \(-0.569780\pi\) |
0.749654 | − | 0.661830i | \(-0.230220\pi\) | |||||||
\(752\) | −2.33324 | − | 7.18097i | −0.0850844 | − | 0.261863i | ||||
\(753\) | −1.03935 | + | 0.755134i | −0.0378761 | + | 0.0275186i | ||||
\(754\) | 0.499258 | − | 0.362732i | 0.0181819 | − | 0.0132099i | ||||
\(755\) | 6.26155 | + | 19.2711i | 0.227881 | + | 0.701346i | ||||
\(756\) | −0.388456 | + | 1.19555i | −0.0141280 | + | 0.0434816i | ||||
\(757\) | 29.7933 | + | 21.6461i | 1.08285 | + | 0.786740i | 0.978178 | − | 0.207766i | \(-0.0666194\pi\) |
0.104676 | + | 0.994506i | \(0.466619\pi\) | |||||||
\(758\) | −15.8412 | −0.575378 | ||||||||
\(759\) | −0.424361 | − | 0.220428i | −0.0154033 | − | 0.00800103i | ||||
\(760\) | 4.82002 | 0.174841 | ||||||||
\(761\) | −4.92452 | − | 3.57787i | −0.178514 | − | 0.129698i | 0.494940 | − | 0.868927i | \(-0.335190\pi\) |
−0.673454 | + | 0.739229i | \(0.735190\pi\) | |||||||
\(762\) | −1.37302 | + | 4.22573i | −0.0497394 | + | 0.153082i | ||||
\(763\) | 0.820532 | + | 2.52534i | 0.0297052 | + | 0.0914233i | ||||
\(764\) | −2.39339 | + | 1.73890i | −0.0865898 | + | 0.0629112i | ||||
\(765\) | 8.01347 | − | 5.82213i | 0.289728 | − | 0.210499i | ||||
\(766\) | −0.0392873 | − | 0.120914i | −0.00141951 | − | 0.00436880i | ||||
\(767\) | −0.862705 | + | 2.65513i | −0.0311505 | + | 0.0958713i | ||||
\(768\) | 0.170767 | + | 0.124069i | 0.00616201 | + | 0.00447697i | ||||
\(769\) | −42.1342 | −1.51940 | −0.759700 | − | 0.650274i | \(-0.774654\pi\) | ||||
−0.759700 | + | 0.650274i | \(0.774654\pi\) | |||||||
\(770\) | −3.27976 | + | 0.493151i | −0.118194 | + | 0.0177719i | ||||
\(771\) | −0.373450 | −0.0134495 | ||||||||
\(772\) | 7.66634 | + | 5.56992i | 0.275918 | + | 0.200466i | ||||
\(773\) | −5.04168 | + | 15.5167i | −0.181337 | + | 0.558097i | −0.999866 | − | 0.0163678i | \(-0.994790\pi\) |
0.818529 | + | 0.574465i | \(0.194790\pi\) | |||||||
\(774\) | −8.72327 | − | 26.8475i | −0.313551 | − | 0.965012i | ||||
\(775\) | 1.01752 | − | 0.739269i | 0.0365503 | − | 0.0265553i | ||||
\(776\) | −9.11528 | + | 6.62264i | −0.327220 | + | 0.237739i | ||||
\(777\) | 0.0558924 | + | 0.172019i | 0.00200513 | + | 0.00617115i | ||||
\(778\) | 3.11376 | − | 9.58318i | 0.111634 | − | 0.343574i | ||||
\(779\) | 37.5173 | + | 27.2579i | 1.34420 | + | 0.976615i | ||||
\(780\) | −0.0810656 | −0.00290261 | ||||||||
\(781\) | −1.24596 | − | 2.49344i | −0.0445839 | − | 0.0892223i | ||||
\(782\) | −2.28930 | −0.0818653 | ||||||||
\(783\) | −1.63416 | − | 1.18729i | −0.0584001 | − | 0.0424301i | ||||
\(784\) | 0.309017 | − | 0.951057i | 0.0110363 | − | 0.0339663i | ||||
\(785\) | 3.12070 | + | 9.60453i | 0.111383 | + | 0.342800i | ||||
\(786\) | 2.21363 | − | 1.60830i | 0.0789577 | − | 0.0573661i | ||||
\(787\) | 0.308673 | − | 0.224264i | 0.0110030 | − | 0.00799415i | −0.582270 | − | 0.812995i | \(-0.697835\pi\) |
0.593273 | + | 0.805001i | \(0.297835\pi\) | |||||||
\(788\) | 1.56483 | + | 4.81605i | 0.0557447 | + | 0.171565i | ||||
\(789\) | −1.36616 | + | 4.20460i | −0.0486364 | + | 0.149688i | ||||
\(790\) | 2.72454 | + | 1.97949i | 0.0969347 | + | 0.0704272i | ||||
\(791\) | −10.2264 | −0.363608 | ||||||||
\(792\) | 4.38149 | + | 8.76834i | 0.155690 | + | 0.311569i | ||||
\(793\) | −1.49447 | −0.0530702 | ||||||||
\(794\) | −6.81233 | − | 4.94945i | −0.241760 | − | 0.175649i | ||||
\(795\) | −0.883086 | + | 2.71786i | −0.0313198 | + | 0.0963925i | ||||
\(796\) | −6.70890 | − | 20.6479i | −0.237791 | − | 0.731844i | ||||
\(797\) | 16.7276 | − | 12.1533i | 0.592521 | − | 0.430492i | −0.250695 | − | 0.968066i | \(-0.580659\pi\) |
0.843216 | + | 0.537574i | \(0.180659\pi\) | |||||||
\(798\) | 0.823099 | − | 0.598017i | 0.0291374 | − | 0.0211696i | ||||
\(799\) | 7.81986 | + | 24.0671i | 0.276647 | + | 0.851431i | ||||
\(800\) | 0.309017 | − | 0.951057i | 0.0109254 | − | 0.0336249i | ||||
\(801\) | 35.9523 | + | 26.1209i | 1.27031 | + | 0.922935i | ||||
\(802\) | −18.9810 | −0.670242 | ||||||||
\(803\) | 33.9407 | − | 5.10339i | 1.19774 | − | 0.180095i | ||||
\(804\) | −1.04985 | −0.0370253 | ||||||||
\(805\) | −0.552613 | − | 0.401497i | −0.0194770 | − | 0.0141509i | ||||
\(806\) | 0.149265 | − | 0.459389i | 0.00525762 | − | 0.0161813i | ||||
\(807\) | 1.87375 | + | 5.76681i | 0.0659592 | + | 0.203001i | ||||
\(808\) | −0.572777 | + | 0.416147i | −0.0201502 | + | 0.0146400i | ||||
\(809\) | −0.475084 | + | 0.345169i | −0.0167031 | + | 0.0121355i | −0.596105 | − | 0.802906i | \(-0.703286\pi\) |
0.579402 | + | 0.815042i | \(0.303286\pi\) | |||||||
\(810\) | −2.65785 | − | 8.18003i | −0.0933875 | − | 0.287417i | ||||
\(811\) | −4.19498 | + | 12.9108i | −0.147306 | + | 0.453360i | −0.997300 | − | 0.0734313i | \(-0.976605\pi\) |
0.849995 | + | 0.526791i | \(0.176605\pi\) | |||||||
\(812\) | 1.29997 | + | 0.944486i | 0.0456201 | + | 0.0331449i | ||||
\(813\) | 0.970821 | 0.0340482 | ||||||||
\(814\) | 2.52204 | + | 1.31003i | 0.0883973 | + | 0.0459167i | ||||
\(815\) | −20.9868 | −0.735134 | ||||||||
\(816\) | −0.572326 | − | 0.415819i | −0.0200354 | − | 0.0145566i | ||||
\(817\) | −14.2267 | + | 43.7854i | −0.497730 | + | 1.53186i | ||||
\(818\) | 7.32158 | + | 22.5335i | 0.255993 | + | 0.787865i | ||||
\(819\) | 0.918272 | − | 0.667164i | 0.0320870 | − | 0.0233126i | ||||
\(820\) | 7.78363 | − | 5.65514i | 0.271816 | − | 0.197486i | ||||
\(821\) | −0.180564 | − | 0.555719i | −0.00630172 | − | 0.0193947i | 0.947856 | − | 0.318698i | \(-0.103246\pi\) |
−0.954158 | + | 0.299304i | \(0.903246\pi\) | |||||||
\(822\) | −0.811873 | + | 2.49869i | −0.0283173 | + | 0.0871517i | ||||
\(823\) | −21.5479 | − | 15.6555i | −0.751114 | − | 0.545716i | 0.145058 | − | 0.989423i | \(-0.453663\pi\) |
−0.896172 | + | 0.443707i | \(0.853663\pi\) | |||||||
\(824\) | 0.602041 | 0.0209731 | ||||||||
\(825\) | −0.498888 | + | 0.491131i | −0.0173691 | + | 0.0170990i | ||||
\(826\) | −7.26925 | −0.252929 | ||||||||
\(827\) | 10.6634 | + | 7.74745i | 0.370804 | + | 0.269405i | 0.757544 | − | 0.652784i | \(-0.226399\pi\) |
−0.386740 | + | 0.922189i | \(0.626399\pi\) | |||||||
\(828\) | −0.623833 | + | 1.91996i | −0.0216797 | + | 0.0667233i | ||||
\(829\) | −6.19984 | − | 19.0811i | −0.215329 | − | 0.662715i | −0.999130 | − | 0.0417028i | \(-0.986722\pi\) |
0.783801 | − | 0.621012i | \(-0.213278\pi\) | |||||||
\(830\) | −8.51048 | + | 6.18323i | −0.295403 | + | 0.214623i | ||||
\(831\) | 4.08432 | − | 2.96743i | 0.141684 | − | 0.102939i | ||||
\(832\) | −0.118679 | − | 0.365256i | −0.00411445 | − | 0.0126630i | ||||
\(833\) | −1.03567 | + | 3.18747i | −0.0358839 | + | 0.110439i | ||||
\(834\) | −2.05271 | − | 1.49138i | −0.0710794 | − | 0.0516422i | ||||
\(835\) | −21.8752 | −0.757024 | ||||||||
\(836\) | 2.62443 | − | 15.7693i | 0.0907679 | − | 0.545393i | ||||
\(837\) | −1.58104 | −0.0546489 | ||||||||
\(838\) | 2.27713 | + | 1.65443i | 0.0786620 | + | 0.0571513i | ||||
\(839\) | 2.99773 | − | 9.22608i | 0.103493 | − | 0.318520i | −0.885881 | − | 0.463913i | \(-0.846445\pi\) |
0.989374 | + | 0.145394i | \(0.0464449\pi\) | |||||||
\(840\) | −0.0652271 | − | 0.200748i | −0.00225055 | − | 0.00692648i | ||||
\(841\) | 21.3726 | − | 15.5281i | 0.736987 | − | 0.535452i | ||||
\(842\) | 2.25666 | − | 1.63956i | 0.0777697 | − | 0.0565030i | ||||
\(843\) | −1.58119 | − | 4.86639i | −0.0544589 | − | 0.167607i | ||||
\(844\) | 4.94362 | − | 15.2149i | 0.170167 | − | 0.523719i | ||||
\(845\) | −10.3979 | − | 7.55451i | −0.357698 | − | 0.259883i | ||||
\(846\) | 22.3151 | 0.767210 | ||||||||
\(847\) | −0.172376 | + | 10.9986i | −0.00592291 | + | 0.377918i | ||||
\(848\) | −13.5386 | −0.464919 | ||||||||
\(849\) | 0.377113 | + | 0.273988i | 0.0129425 | + | 0.00940326i | ||||
\(850\) | −1.03567 | + | 3.18747i | −0.0355233 | + | 0.109329i | ||||
\(851\) | 0.180872 | + | 0.556666i | 0.00620020 | + | 0.0190823i | ||||
\(852\) | 0.143518 | − | 0.104272i | 0.00491686 | − | 0.00357231i | ||||
\(853\) | 4.17869 | − | 3.03600i | 0.143076 | − | 0.103951i | −0.513945 | − | 0.857823i | \(-0.671816\pi\) |
0.657021 | + | 0.753873i | \(0.271816\pi\) | |||||||
\(854\) | −1.20248 | − | 3.70086i | −0.0411481 | − | 0.126641i | ||||
\(855\) | −4.40204 | + | 13.5481i | −0.150547 | + | 0.463335i | ||||
\(856\) | −8.31681 | − | 6.04252i | −0.284263 | − | 0.206529i | ||||
\(857\) | 5.43985 | 0.185822 | 0.0929109 | − | 0.995674i | \(-0.470383\pi\) | ||||
0.0929109 | + | 0.995674i | \(0.470383\pi\) | |||||||
\(858\) | −0.0441391 | + | 0.265216i | −0.00150688 | + | 0.00905433i | ||||
\(859\) | 24.5615 | 0.838028 | 0.419014 | − | 0.907980i | \(-0.362376\pi\) | ||||
0.419014 | + | 0.907980i | \(0.362376\pi\) | |||||||
\(860\) | 7.72737 | + | 5.61426i | 0.263501 | + | 0.191445i | ||||
\(861\) | 0.627556 | − | 1.93142i | 0.0213871 | − | 0.0658226i | ||||
\(862\) | −1.93933 | − | 5.96864i | −0.0660538 | − | 0.203293i | ||||
\(863\) | 14.7391 | − | 10.7086i | 0.501724 | − | 0.364524i | −0.307951 | − | 0.951402i | \(-0.599643\pi\) |
0.809675 | + | 0.586878i | \(0.199643\pi\) | |||||||
\(864\) | −1.01699 | + | 0.738888i | −0.0345988 | + | 0.0251375i | ||||
\(865\) | −0.0669312 | − | 0.205993i | −0.00227573 | − | 0.00700397i | ||||
\(866\) | 7.83985 | − | 24.1286i | 0.266409 | − | 0.819923i | ||||
\(867\) | −0.984882 | − | 0.715558i | −0.0334483 | − | 0.0243016i | ||||
\(868\) | 1.25772 | 0.0426898 | ||||||||
\(869\) | 7.95963 | − | 7.83586i | 0.270012 | − | 0.265813i | ||||
\(870\) | 0.339174 | 0.0114991 | ||||||||
\(871\) | 1.54536 | + | 1.12277i | 0.0523625 | + | 0.0380436i | ||||
\(872\) | −0.820532 | + | 2.52534i | −0.0277867 | + | 0.0855187i | ||||
\(873\) | −10.2901 | − | 31.6695i | −0.348266 | − | 1.07185i | ||||
\(874\) | 2.66360 | − | 1.93522i | 0.0900978 | − | 0.0654599i | ||||
\(875\) | −0.809017 | + | 0.587785i | −0.0273498 | + | 0.0198708i | ||||
\(876\) | 0.675005 | + | 2.07745i | 0.0228063 | + | 0.0701905i | ||||
\(877\) | −3.27362 | + | 10.0752i | −0.110542 | + | 0.340214i | −0.990991 | − | 0.133927i | \(-0.957241\pi\) |
0.880449 | + | 0.474141i | \(0.157241\pi\) | |||||||
\(878\) | −11.6743 | − | 8.48184i | −0.393987 | − | 0.286248i | ||||
\(879\) | 4.61718 | 0.155733 | ||||||||
\(880\) | −2.94325 | − | 1.52882i | −0.0992168 | − | 0.0515367i | ||||
\(881\) | 56.7215 | 1.91100 | 0.955498 | − | 0.294996i | \(-0.0953185\pi\) | ||||
0.955498 | + | 0.294996i | \(0.0953185\pi\) | |||||||
\(882\) | 2.39101 | + | 1.73717i | 0.0805093 | + | 0.0584935i | ||||
\(883\) | 12.9095 | − | 39.7312i | 0.434438 | − | 1.33706i | −0.459224 | − | 0.888320i | \(-0.651873\pi\) |
0.893662 | − | 0.448741i | \(-0.148127\pi\) | |||||||
\(884\) | 0.397753 | + | 1.22416i | 0.0133779 | + | 0.0411728i | ||||
\(885\) | −1.24135 | + | 0.901890i | −0.0417274 | + | 0.0303167i | ||||
\(886\) | −19.0234 | + | 13.8213i | −0.639103 | + | 0.464336i | ||||
\(887\) | 0.142151 | + | 0.437496i | 0.00477296 | + | 0.0146897i | 0.953415 | − | 0.301663i | \(-0.0975417\pi\) |
−0.948642 | + | 0.316353i | \(0.897542\pi\) | |||||||
\(888\) | −0.0558924 | + | 0.172019i | −0.00187563 | + | 0.00577258i | ||||
\(889\) | 17.0297 | + | 12.3728i | 0.571159 | + | 0.414971i | ||||
\(890\) | −15.0365 | −0.504023 | ||||||||
\(891\) | −28.2092 | + | 4.24159i | −0.945043 | + | 0.142099i | ||||
\(892\) | 2.78387 | 0.0932109 | ||||||||
\(893\) | −29.4431 | − | 21.3916i | −0.985275 | − | 0.715844i | ||||
\(894\) | −0.793347 | + | 2.44167i | −0.0265335 | + | 0.0816617i | ||||
\(895\) | 5.27160 | + | 16.2243i | 0.176210 | + | 0.542319i | ||||
\(896\) | 0.809017 | − | 0.587785i | 0.0270274 | − | 0.0196365i | ||||
\(897\) | −0.0447979 | + | 0.0325476i | −0.00149576 | + | 0.00108673i | ||||
\(898\) | −1.95875 | − | 6.02842i | −0.0653644 | − | 0.201171i | ||||
\(899\) | −0.624515 | + | 1.92206i | −0.0208287 | + | 0.0641043i | ||||
\(900\) | 2.39101 | + | 1.73717i | 0.0797002 | + | 0.0579056i | ||||
\(901\) | 45.3748 | 1.51165 | ||||||||
\(902\) | −14.2634 | − | 28.5443i | −0.474920 | − | 0.950420i | ||||
\(903\) | 2.01614 | 0.0670928 | ||||||||
\(904\) | −8.27331 | − | 6.01091i | −0.275166 | − | 0.199920i | ||||
\(905\) | −1.06844 | + | 3.28831i | −0.0355161 | + | 0.109307i | ||||
\(906\) | 1.32168 | + | 4.06772i | 0.0439100 | + | 0.135141i | ||||
\(907\) | 29.3268 | − | 21.3071i | 0.973779 | − | 0.707492i | 0.0174696 | − | 0.999847i | \(-0.494439\pi\) |
0.956310 | + | 0.292355i | \(0.0944390\pi\) | |||||||
\(908\) | 12.7126 | − | 9.23626i | 0.421883 | − | 0.306516i | ||||
\(909\) | −0.646597 | − | 1.99002i | −0.0214463 | − | 0.0660048i | ||||
\(910\) | −0.118679 | + | 0.365256i | −0.00393416 | + | 0.0121081i | ||||
\(911\) | −44.3671 | − | 32.2346i | −1.46995 | − | 1.06798i | −0.980629 | − | 0.195872i | \(-0.937246\pi\) |
−0.489317 | − | 0.872106i | \(-0.662754\pi\) | |||||||
\(912\) | 1.01741 | 0.0336897 | ||||||||
\(913\) | 15.5954 | + | 31.2098i | 0.516131 | + | 1.03289i | ||||
\(914\) | −4.08335 | −0.135065 | ||||||||
\(915\) | −0.664507 | − | 0.482793i | −0.0219679 | − | 0.0159606i | ||||
\(916\) | 5.27540 | − | 16.2360i | 0.174304 | − | 0.536453i | ||||
\(917\) | −4.00576 | − | 12.3285i | −0.132282 | − | 0.407121i | ||||
\(918\) | 3.40845 | − | 2.47639i | 0.112496 | − | 0.0817330i | ||||
\(919\) | −14.3389 | + | 10.4179i | −0.472998 | + | 0.343653i | −0.798609 | − | 0.601851i | \(-0.794430\pi\) |
0.325610 | + | 0.945504i | \(0.394430\pi\) | |||||||
\(920\) | −0.211079 | − | 0.649635i | −0.00695908 | − | 0.0214178i | ||||
\(921\) | 0.0598471 | − | 0.184191i | 0.00197203 | − | 0.00606928i | ||||
\(922\) | −22.4141 | − | 16.2848i | −0.738168 | − | 0.536311i | ||||
\(923\) | −0.322771 | −0.0106241 | ||||||||
\(924\) | −0.692289 | + | 0.104094i | −0.0227746 | + | 0.00342444i | ||||
\(925\) | 0.856889 | 0.0281743 | ||||||||
\(926\) | 24.8283 | + | 18.0388i | 0.815910 | + | 0.592793i | ||||
\(927\) | −0.549834 | + | 1.69221i | −0.0180589 | + | 0.0555796i | ||||
\(928\) | 0.496545 | + | 1.52821i | 0.0162999 | + | 0.0501659i | ||||
\(929\) | 6.95549 | − | 5.05346i | 0.228202 | − | 0.165799i | −0.467809 | − | 0.883830i | \(-0.654956\pi\) |
0.696011 | + | 0.718031i | \(0.254956\pi\) | |||||||
\(930\) | 0.214777 | − | 0.156044i | 0.00704281 | − | 0.00511690i | ||||
\(931\) | −1.48947 | − | 4.58411i | −0.0488153 | − | 0.150238i | ||||
\(932\) | −2.22987 | + | 6.86284i | −0.0730419 | + | 0.224800i | ||||
\(933\) | 0.507106 | + | 0.368434i | 0.0166019 | + | 0.0120620i | ||||
\(934\) | −5.78418 | −0.189264 | ||||||||
\(935\) | 9.86430 | + | 5.12387i | 0.322597 | + | 0.167568i | ||||
\(936\) | 1.13505 | 0.0371002 | ||||||||
\(937\) | 43.8288 | + | 31.8435i | 1.43182 | + | 1.04028i | 0.989673 | + | 0.143340i | \(0.0457844\pi\) |
0.442151 | + | 0.896941i | \(0.354216\pi\) | |||||||
\(938\) | −1.53696 | + | 4.73029i | −0.0501837 | + | 0.154449i | ||||
\(939\) | 0.0657491 | + | 0.202355i | 0.00214564 | + | 0.00660360i | ||||
\(940\) | −6.10850 | + | 4.43808i | −0.199237 | + | 0.144754i | ||||
\(941\) | −34.0577 | + | 24.7444i | −1.11025 | + | 0.806643i | −0.982703 | − | 0.185190i | \(-0.940710\pi\) |
−0.127546 | + | 0.991833i | \(0.540710\pi\) | |||||||
\(942\) | 0.658715 | + | 2.02732i | 0.0214621 | + | 0.0660536i | ||||
\(943\) | 2.03081 | − | 6.25020i | 0.0661324 | − | 0.203535i | ||||
\(944\) | −5.88094 | − | 4.27276i | −0.191408 | − | 0.139066i | ||||
\(945\) | 1.25707 | 0.0408925 | ||||||||
\(946\) | 22.5752 | − | 22.2242i | 0.733983 | − | 0.722570i | ||||
\(947\) | 32.3240 | 1.05039 | 0.525194 | − | 0.850982i | \(-0.323993\pi\) | ||||
0.525194 | + | 0.850982i | \(0.323993\pi\) | |||||||
\(948\) | 0.575094 | + | 0.417830i | 0.0186782 | + | 0.0135705i | ||||
\(949\) | 1.22815 | − | 3.77986i | 0.0398675 | − | 0.122699i | ||||
\(950\) | −1.48947 | − | 4.58411i | −0.0483247 | − | 0.148728i | ||||
\(951\) | −0.593677 | + | 0.431331i | −0.0192513 | + | 0.0139869i | ||||
\(952\) | −2.71143 | + | 1.96997i | −0.0878778 | + | 0.0638470i | ||||
\(953\) | 12.4704 | + | 38.3800i | 0.403956 | + | 1.24325i | 0.921763 | + | 0.387753i | \(0.126748\pi\) |
−0.517807 | + | 0.855497i | \(0.673252\pi\) | |||||||
\(954\) | 12.3646 | − | 38.0543i | 0.400319 | − | 1.23205i | ||||
\(955\) | 2.39339 | + | 1.73890i | 0.0774483 | + | 0.0562695i | ||||
\(956\) | −4.90570 | −0.158662 | ||||||||
\(957\) | 0.184675 | − | 1.10965i | 0.00596971 | − | 0.0358699i | ||||
\(958\) | 6.65632 | 0.215056 | ||||||||
\(959\) | 10.0697 | + | 7.31608i | 0.325168 | + | 0.236249i | ||||
\(960\) | 0.0652271 | − | 0.200748i | 0.00210520 | − | 0.00647913i | ||||
\(961\) | −9.09071 | − | 27.9783i | −0.293249 | − | 0.902526i | ||||
\(962\) | 0.266240 | − | 0.193435i | 0.00858392 | − | 0.00623658i | ||||
\(963\) | 24.5799 | − | 17.8583i | 0.792075 | − | 0.575476i | ||||
\(964\) | 7.26384 | + | 22.3558i | 0.233953 | + | 0.720032i | ||||
\(965\) | 2.92828 | − | 9.01233i | 0.0942647 | − | 0.290117i | ||||
\(966\) | −0.116645 | − | 0.0847476i | −0.00375300 | − | 0.00272671i | ||||
\(967\) | 1.52424 | 0.0490161 | 0.0245081 | − | 0.999700i | \(-0.492198\pi\) | ||||
0.0245081 | + | 0.999700i | \(0.492198\pi\) | |||||||
\(968\) | −6.60430 | + | 8.79677i | −0.212270 | + | 0.282739i | ||||
\(969\) | −3.40984 | −0.109540 | ||||||||
\(970\) | 9.11528 | + | 6.62264i | 0.292674 | + | 0.212640i | ||||
\(971\) | 9.55231 | − | 29.3990i | 0.306548 | − | 0.943459i | −0.672547 | − | 0.740055i | \(-0.734800\pi\) |
0.979095 | − | 0.203404i | \(-0.0652005\pi\) | |||||||
\(972\) | −1.72639 | − | 5.31327i | −0.0553739 | − | 0.170423i | ||||
\(973\) | −9.72482 | + | 7.06549i | −0.311763 | + | 0.226509i | ||||
\(974\) | 2.58713 | − | 1.87966i | 0.0828971 | − | 0.0602283i | ||||
\(975\) | 0.0250506 | + | 0.0770979i | 0.000802262 | + | 0.00246911i | ||||
\(976\) | 1.20248 | − | 3.70086i | 0.0384905 | − | 0.118462i | ||||
\(977\) | −46.2230 | − | 33.5830i | −1.47880 | − | 1.07441i | −0.977939 | − | 0.208889i | \(-0.933015\pi\) |
−0.500865 | − | 0.865525i | \(-0.666985\pi\) | |||||||
\(978\) | −4.42987 | −0.141652 | ||||||||
\(979\) | −8.18714 | + | 49.1937i | −0.261662 | + | 1.57224i | ||||
\(980\) | −1.00000 | −0.0319438 | ||||||||
\(981\) | −6.34883 | − | 4.61269i | −0.202703 | − | 0.147272i | ||||
\(982\) | 0.773552 | − | 2.38075i | 0.0246850 | − | 0.0759727i | ||||
\(983\) | −5.27775 | − | 16.2432i | −0.168334 | − | 0.518079i | 0.830932 | − | 0.556373i | \(-0.187808\pi\) |
−0.999267 | + | 0.0382943i | \(0.987808\pi\) | |||||||
\(984\) | 1.64296 | − | 1.19368i | 0.0523758 | − | 0.0380532i | ||||
\(985\) | 4.09678 | − | 2.97648i | 0.130534 | − | 0.0948386i | ||||
\(986\) | −1.66417 | − | 5.12180i | −0.0529981 | − | 0.163111i | ||||
\(987\) | −0.492498 | + | 1.51575i | −0.0156764 | + | 0.0482470i | ||||
\(988\) | −1.49760 | − | 1.08807i | −0.0476452 | − | 0.0346162i | ||||
\(989\) | 6.52435 | 0.207462 | ||||||||
\(990\) | 6.98523 | − | 6.87661i | 0.222005 | − | 0.218553i | ||||
\(991\) | 56.3798 | 1.79096 | 0.895482 | − | 0.445097i | \(-0.146831\pi\) | ||||
0.895482 | + | 0.445097i | \(0.146831\pi\) | |||||||
\(992\) | 1.01752 | + | 0.739269i | 0.0323062 | + | 0.0234718i | ||||
\(993\) | −1.13420 | + | 3.49071i | −0.0359928 | + | 0.110774i | ||||
\(994\) | −0.259709 | − | 0.799302i | −0.00823746 | − | 0.0253523i | ||||
\(995\) | −17.5641 | + | 12.7611i | −0.556820 | + | 0.404553i | ||||
\(996\) | −1.79639 | + | 1.30515i | −0.0569207 | + | 0.0413553i | ||||
\(997\) | 12.0108 | + | 36.9656i | 0.380387 | + | 1.17071i | 0.939772 | + | 0.341803i | \(0.111038\pi\) |
−0.559384 | + | 0.828908i | \(0.688962\pi\) | |||||||
\(998\) | 6.70334 | − | 20.6307i | 0.212190 | − | 0.653055i | ||||
\(999\) | −0.871450 | − | 0.633145i | −0.0275714 | − | 0.0200318i |
(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 | 770.2.n.k.631.3 | yes | 16 | |
11.3 | even | 5 | inner | 770.2.n.k.421.3 | ✓ | 16 | |
11.5 | even | 5 | 8470.2.a.dh.1.4 | 8 | |||
11.6 | odd | 10 | 8470.2.a.dg.1.4 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
770.2.n.k.421.3 | ✓ | 16 | 11.3 | even | 5 | inner | |
770.2.n.k.631.3 | yes | 16 | 1.1 | even | 1 | trivial | |
8470.2.a.dg.1.4 | 8 | 11.6 | odd | 10 | |||
8470.2.a.dh.1.4 | 8 | 11.5 | even | 5 |