Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [693,2,Mod(64,693)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(693, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("693.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 693 = 3^{2} \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 693.m (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: | \(5.53363286007\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} + 12 x^{18} - 3 x^{17} + 94 x^{16} - 10 x^{15} + 662 x^{14} - 153 x^{13} + 4638 x^{12} + \cdots + 121 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 2^{4} \) |
Twist minimal: | no (minimal twist has level 231) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 379.5 | ||
Root | \(0.739775 - 2.27679i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 693.379 |
Dual form | 693.2.m.j.64.5 |
$q$-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 \(\left(\mathbb{Z}/693\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(442\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.739775 | + | 2.27679i | 0.523100 | + | 1.60994i | 0.768043 | + | 0.640399i | \(0.221231\pi\) |
−0.244942 | + | 0.969538i | \(0.578769\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −3.01849 | + | 2.19306i | −1.50924 | + | 1.09653i | ||||
\(5\) | 1.21700 | − | 3.74554i | 0.544258 | − | 1.67506i | −0.178488 | − | 0.983942i | \(-0.557121\pi\) |
0.722747 | − | 0.691113i | \(-0.242879\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.809017 | − | 0.587785i | 0.305780 | − | 0.222162i | ||||
\(8\) | −3.35264 | − | 2.43583i | −1.18534 | − | 0.861197i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 9.42812 | 2.98143 | ||||||||
\(11\) | −2.04163 | − | 2.61376i | −0.615576 | − | 0.788077i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.926710 | − | 2.85212i | −0.257023 | − | 0.791036i | −0.993424 | − | 0.114491i | \(-0.963476\pi\) |
0.736401 | − | 0.676545i | \(-0.236524\pi\) | |||||||
\(14\) | 1.93676 | + | 1.40714i | 0.517620 | + | 0.376073i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.759773 | − | 2.33834i | 0.189943 | − | 0.584585i | ||||
\(17\) | 2.04092 | − | 6.28132i | 0.494997 | − | 1.52344i | −0.321965 | − | 0.946752i | \(-0.604343\pi\) |
0.816961 | − | 0.576692i | \(-0.195657\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 4.77571 | + | 3.46976i | 1.09562 | + | 0.796017i | 0.980340 | − | 0.197316i | \(-0.0632225\pi\) |
0.115283 | + | 0.993333i | \(0.463222\pi\) | |||||||
\(20\) | 4.54069 | + | 13.9748i | 1.01533 | + | 3.12486i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 4.44064 | − | 6.58197i | 0.946747 | − | 1.40328i | ||||
\(23\) | 6.02551 | 1.25641 | 0.628203 | − | 0.778049i | \(-0.283791\pi\) | ||||
0.628203 | + | 0.778049i | \(0.283791\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −8.50288 | − | 6.17770i | −1.70058 | − | 1.23554i | ||||
\(26\) | 5.80813 | − | 4.21986i | 1.13907 | − | 0.827582i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.15296 | + | 3.54845i | −0.217889 | + | 0.670593i | ||||
\(29\) | −1.23031 | + | 0.893876i | −0.228464 | + | 0.165989i | −0.696128 | − | 0.717917i | \(-0.745096\pi\) |
0.467665 | + | 0.883906i | \(0.345096\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.61707 | + | 8.05452i | 0.470040 | + | 1.44663i | 0.852532 | + | 0.522675i | \(0.175066\pi\) |
−0.382492 | + | 0.923959i | \(0.624934\pi\) | |||||||
\(32\) | −2.40219 | −0.424652 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 15.8111 | 2.71158 | ||||||||
\(35\) | −1.21700 | − | 3.74554i | −0.205710 | − | 0.633111i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.491753 | − | 0.357279i | 0.0808437 | − | 0.0587364i | −0.546629 | − | 0.837375i | \(-0.684089\pi\) |
0.627473 | + | 0.778638i | \(0.284089\pi\) | |||||||
\(38\) | −4.36697 | + | 13.4401i | −0.708416 | + | 2.18028i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −13.2037 | + | 9.59302i | −2.08768 | + | 1.51679i | ||||
\(41\) | −1.37802 | − | 1.00119i | −0.215211 | − | 0.156360i | 0.474958 | − | 0.880009i | \(-0.342463\pi\) |
−0.690168 | + | 0.723649i | \(0.742463\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.23364 | −0.493125 | −0.246562 | − | 0.969127i | \(-0.579301\pi\) | ||||
−0.246562 | + | 0.969127i | \(0.579301\pi\) | |||||||
\(44\) | 11.8948 | + | 3.41217i | 1.79321 | + | 0.514404i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 4.45752 | + | 13.7188i | 0.657226 | + | 2.02273i | ||||
\(47\) | −3.88520 | − | 2.82276i | −0.566715 | − | 0.411742i | 0.267196 | − | 0.963642i | \(-0.413903\pi\) |
−0.833910 | + | 0.551900i | \(0.813903\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.309017 | − | 0.951057i | 0.0441453 | − | 0.135865i | ||||
\(50\) | 7.77514 | − | 23.9294i | 1.09957 | − | 3.38413i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 9.05214 | + | 6.57676i | 1.25531 | + | 0.912033i | ||||
\(53\) | 1.89376 | + | 5.82840i | 0.260128 | + | 0.800593i | 0.992776 | + | 0.119984i | \(0.0382844\pi\) |
−0.732647 | + | 0.680608i | \(0.761716\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −12.2746 | + | 4.46608i | −1.65511 | + | 0.602206i | ||||
\(56\) | −4.14409 | −0.553777 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −2.94533 | − | 2.13990i | −0.386740 | − | 0.280983i | ||||
\(59\) | 5.04732 | − | 3.66709i | 0.657105 | − | 0.477415i | −0.208579 | − | 0.978006i | \(-0.566884\pi\) |
0.865684 | + | 0.500591i | \(0.166884\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.645533 | + | 1.98674i | −0.0826520 | + | 0.254377i | −0.983839 | − | 0.179053i | \(-0.942697\pi\) |
0.901187 | + | 0.433429i | \(0.142697\pi\) | |||||||
\(62\) | −16.4024 | + | 11.9171i | −2.08311 | + | 1.51347i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −3.29663 | − | 10.1460i | −0.412079 | − | 1.26825i | ||||
\(65\) | −11.8105 | −1.46492 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.599719 | −0.0732673 | −0.0366337 | − | 0.999329i | \(-0.511663\pi\) | ||||
−0.0366337 | + | 0.999329i | \(0.511663\pi\) | |||||||
\(68\) | 7.61481 | + | 23.4360i | 0.923431 | + | 2.84203i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 7.62751 | − | 5.54171i | 0.911662 | − | 0.662361i | ||||
\(71\) | −0.435614 | + | 1.34068i | −0.0516978 | + | 0.159110i | −0.973572 | − | 0.228379i | \(-0.926657\pi\) |
0.921874 | + | 0.387489i | \(0.126657\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −5.73473 | + | 4.16652i | −0.671199 | + | 0.487655i | −0.870426 | − | 0.492299i | \(-0.836157\pi\) |
0.199227 | + | 0.979953i | \(0.436157\pi\) | |||||||
\(74\) | 1.17724 | + | 0.855314i | 0.136851 | + | 0.0994282i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −22.0248 | −2.52642 | ||||||||
\(77\) | −3.18805 | − | 0.914531i | −0.363311 | − | 0.104220i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.316207 | − | 0.973184i | −0.0355760 | − | 0.109492i | 0.931692 | − | 0.363250i | \(-0.118333\pi\) |
−0.967268 | + | 0.253759i | \(0.918333\pi\) | |||||||
\(80\) | −7.83370 | − | 5.69152i | −0.875834 | − | 0.636331i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 1.26008 | − | 3.87812i | 0.139152 | − | 0.428267i | ||||
\(83\) | −0.954026 | + | 2.93619i | −0.104718 | + | 0.322289i | −0.989664 | − | 0.143405i | \(-0.954195\pi\) |
0.884946 | + | 0.465693i | \(0.154195\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −21.0431 | − | 15.2887i | −2.28245 | − | 1.65829i | ||||
\(86\) | −2.39216 | − | 7.36232i | −0.257954 | − | 0.793900i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.478184 | + | 13.7361i | 0.0509746 | + | 1.46427i | ||||
\(89\) | 2.48531 | 0.263442 | 0.131721 | − | 0.991287i | \(-0.457950\pi\) | ||||
0.131721 | + | 0.991287i | \(0.457950\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.42616 | − | 1.76271i | −0.254331 | − | 0.184782i | ||||
\(92\) | −18.1879 | + | 13.2143i | −1.89622 | + | 1.37769i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 3.55268 | − | 10.9340i | 0.366430 | − | 1.12776i | ||||
\(95\) | 18.8081 | − | 13.6649i | 1.92967 | − | 1.40199i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.788908 | + | 2.42801i | 0.0801015 | + | 0.246527i | 0.983086 | − | 0.183147i | \(-0.0586284\pi\) |
−0.902984 | + | 0.429674i | \(0.858628\pi\) | |||||||
\(98\) | 2.39396 | 0.241827 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 39.2139 | 3.92139 | ||||||||
\(101\) | 4.68387 | + | 14.4155i | 0.466063 | + | 1.43439i | 0.857641 | + | 0.514249i | \(0.171929\pi\) |
−0.391578 | + | 0.920145i | \(0.628071\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 11.1939 | − | 8.13282i | 1.10296 | − | 0.801351i | 0.121423 | − | 0.992601i | \(-0.461254\pi\) |
0.981541 | + | 0.191250i | \(0.0612542\pi\) | |||||||
\(104\) | −3.84037 | + | 11.8194i | −0.376579 | + | 1.15899i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −11.8691 | + | 8.62341i | −1.15283 | + | 0.837580i | ||||
\(107\) | 0.360539 | + | 0.261947i | 0.0348546 | + | 0.0253234i | 0.605076 | − | 0.796168i | \(-0.293143\pi\) |
−0.570222 | + | 0.821491i | \(0.693143\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 11.0988 | 1.06307 | 0.531536 | − | 0.847036i | \(-0.321615\pi\) | ||||
0.531536 | + | 0.847036i | \(0.321615\pi\) | |||||||
\(110\) | −19.2488 | − | 24.6428i | −1.83530 | − | 2.34960i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.759773 | − | 2.33834i | −0.0717918 | − | 0.220952i | ||||
\(113\) | −6.54445 | − | 4.75482i | −0.615650 | − | 0.447296i | 0.235750 | − | 0.971814i | \(-0.424245\pi\) |
−0.851399 | + | 0.524518i | \(0.824245\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 7.33304 | − | 22.5688i | 0.683810 | − | 2.10455i | ||||
\(116\) | 1.75337 | − | 5.39631i | 0.162796 | − | 0.501035i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 12.0831 | + | 8.77889i | 1.11234 | + | 0.808162i | ||||
\(119\) | −2.04092 | − | 6.28132i | −0.187091 | − | 0.575808i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −2.66345 | + | 10.6727i | −0.242132 | + | 0.970243i | ||||
\(122\) | −5.00096 | −0.452765 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −25.5637 | − | 18.5731i | −2.29568 | − | 1.66791i | ||||
\(125\) | −17.5561 | + | 12.7552i | −1.57026 | + | 1.14086i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.0555178 | − | 0.170866i | 0.00492640 | − | 0.0151619i | −0.948563 | − | 0.316588i | \(-0.897463\pi\) |
0.953490 | + | 0.301426i | \(0.0974627\pi\) | |||||||
\(128\) | 16.7747 | − | 12.1875i | 1.48269 | − | 1.07724i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −8.73714 | − | 26.8901i | −0.766298 | − | 2.35842i | ||||
\(131\) | −9.38232 | −0.819737 | −0.409868 | − | 0.912145i | \(-0.634425\pi\) | ||||
−0.409868 | + | 0.912145i | \(0.634425\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 5.90310 | 0.511864 | ||||||||
\(134\) | −0.443657 | − | 1.36544i | −0.0383261 | − | 0.117956i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −22.1427 | + | 16.0876i | −1.89872 | + | 1.37950i | ||||
\(137\) | −0.276143 | + | 0.849880i | −0.0235925 | + | 0.0726102i | −0.962160 | − | 0.272487i | \(-0.912154\pi\) |
0.938567 | + | 0.345097i | \(0.112154\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.71739 | + | 1.24775i | −0.145667 | + | 0.105833i | −0.658232 | − | 0.752815i | \(-0.728695\pi\) |
0.512565 | + | 0.858648i | \(0.328695\pi\) | |||||||
\(140\) | 11.8877 | + | 8.63691i | 1.00469 | + | 0.729952i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −3.37471 | −0.283199 | ||||||||
\(143\) | −5.56275 | + | 8.24518i | −0.465180 | + | 0.689497i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.85075 | + | 5.69603i | 0.153697 | + | 0.473030i | ||||
\(146\) | −13.7287 | − | 9.97450i | −1.13620 | − | 0.825496i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.700815 | + | 2.15689i | −0.0576067 | + | 0.177295i | ||||
\(149\) | −4.42575 | + | 13.6211i | −0.362572 | + | 1.11588i | 0.588916 | + | 0.808194i | \(0.299555\pi\) |
−0.951488 | + | 0.307687i | \(0.900445\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 11.1512 | + | 8.10184i | 0.907474 | + | 0.659318i | 0.940375 | − | 0.340140i | \(-0.110475\pi\) |
−0.0329007 | + | 0.999459i | \(0.510475\pi\) | |||||||
\(152\) | −7.55948 | − | 23.2657i | −0.613154 | − | 1.88710i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.276238 | − | 7.93507i | −0.0222599 | − | 0.639426i | ||||
\(155\) | 33.3535 | 2.67902 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 9.27195 | + | 6.73647i | 0.739982 | + | 0.537628i | 0.892706 | − | 0.450641i | \(-0.148804\pi\) |
−0.152723 | + | 0.988269i | \(0.548804\pi\) | |||||||
\(158\) | 1.98182 | − | 1.43987i | 0.157665 | − | 0.114550i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −2.92347 | + | 8.99751i | −0.231120 | + | 0.711316i | ||||
\(161\) | 4.87474 | − | 3.54171i | 0.384183 | − | 0.279126i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 1.52735 | + | 4.70071i | 0.119632 | + | 0.368188i | 0.992885 | − | 0.119079i | \(-0.0379940\pi\) |
−0.873253 | + | 0.487266i | \(0.837994\pi\) | |||||||
\(164\) | 6.35521 | 0.496258 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −7.39086 | −0.573642 | ||||||||
\(167\) | −2.63722 | − | 8.11651i | −0.204074 | − | 0.628075i | −0.999750 | − | 0.0223527i | \(-0.992884\pi\) |
0.795676 | − | 0.605722i | \(-0.207116\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 3.24142 | − | 2.35503i | 0.249340 | − | 0.181156i | ||||
\(170\) | 19.2421 | − | 59.2211i | 1.47580 | − | 4.54205i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 9.76069 | − | 7.09156i | 0.744246 | − | 0.540726i | ||||
\(173\) | 10.5881 | + | 7.69269i | 0.804997 | + | 0.584864i | 0.912376 | − | 0.409354i | \(-0.134246\pi\) |
−0.107379 | + | 0.994218i | \(0.534246\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −10.5101 | −0.794492 | ||||||||
\(176\) | −7.66303 | + | 2.78818i | −0.577623 | + | 0.210167i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 1.83857 | + | 5.65853i | 0.137807 | + | 0.424125i | ||||
\(179\) | 20.9229 | + | 15.2014i | 1.56385 | + | 1.13621i | 0.932759 | + | 0.360499i | \(0.117394\pi\) |
0.631094 | + | 0.775707i | \(0.282606\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 6.61922 | − | 20.3719i | 0.492003 | − | 1.51423i | −0.329574 | − | 0.944130i | \(-0.606905\pi\) |
0.821576 | − | 0.570099i | \(-0.193095\pi\) | |||||||
\(182\) | 2.21851 | − | 6.82787i | 0.164447 | − | 0.506115i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −20.2014 | − | 14.6771i | −1.48926 | − | 1.08201i | ||||
\(185\) | −0.739741 | − | 2.27669i | −0.0543868 | − | 0.167385i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −20.5847 | + | 7.48968i | −1.50530 | + | 0.547700i | ||||
\(188\) | 17.9179 | 1.30680 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 45.0260 | + | 32.7133i | 3.26653 | + | 2.37327i | ||||
\(191\) | −3.02562 | + | 2.19825i | −0.218927 | + | 0.159059i | −0.691843 | − | 0.722048i | \(-0.743201\pi\) |
0.472917 | + | 0.881107i | \(0.343201\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 1.87861 | − | 5.78178i | 0.135225 | − | 0.416181i | −0.860400 | − | 0.509620i | \(-0.829786\pi\) |
0.995625 | + | 0.0934388i | \(0.0297860\pi\) | |||||||
\(194\) | −4.94446 | + | 3.59236i | −0.354992 | + | 0.257917i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.15296 | + | 3.54845i | 0.0823543 | + | 0.253460i | ||||
\(197\) | −21.5458 | −1.53508 | −0.767538 | − | 0.641003i | \(-0.778518\pi\) | ||||
−0.767538 | + | 0.641003i | \(0.778518\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −14.8965 | −1.05598 | −0.527992 | − | 0.849249i | \(-0.677055\pi\) | ||||
−0.527992 | + | 0.849249i | \(0.677055\pi\) | |||||||
\(200\) | 13.4592 | + | 41.4232i | 0.951710 | + | 2.92906i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −29.3561 | + | 21.3284i | −2.06549 | + | 1.50066i | ||||
\(203\) | −0.469938 | + | 1.44632i | −0.0329832 | + | 0.101512i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −5.42704 | + | 3.94298i | −0.379041 | + | 0.275389i | ||||
\(206\) | 26.7977 | + | 19.4697i | 1.86708 | + | 1.35652i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −7.37332 | −0.511248 | ||||||||
\(209\) | −0.681155 | − | 19.5665i | −0.0471165 | − | 1.35344i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 5.24074 | + | 16.1293i | 0.360787 | + | 1.11039i | 0.952577 | + | 0.304296i | \(0.0984214\pi\) |
−0.591790 | + | 0.806092i | \(0.701579\pi\) | |||||||
\(212\) | −18.4983 | − | 13.4398i | −1.27047 | − | 0.923051i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −0.329681 | + | 1.01465i | −0.0225365 | + | 0.0693604i | ||||
\(215\) | −3.93533 | + | 12.1117i | −0.268387 | + | 0.826011i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 6.85158 | + | 4.97797i | 0.465116 | + | 0.337926i | ||||
\(218\) | 8.21061 | + | 25.2697i | 0.556093 | + | 1.71148i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 27.2563 | − | 40.3997i | 1.83762 | − | 2.72375i | ||||
\(221\) | −19.8064 | −1.33232 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 11.1746 | + | 8.11879i | 0.748304 | + | 0.543675i | 0.895301 | − | 0.445462i | \(-0.146961\pi\) |
−0.146997 | + | 0.989137i | \(0.546961\pi\) | |||||||
\(224\) | −1.94342 | + | 1.41197i | −0.129850 | + | 0.0943415i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 5.98432 | − | 18.4179i | 0.398071 | − | 1.22514i | ||||
\(227\) | −5.86816 | + | 4.26347i | −0.389484 | + | 0.282976i | −0.765244 | − | 0.643740i | \(-0.777382\pi\) |
0.375760 | + | 0.926717i | \(0.377382\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −0.101091 | − | 0.311125i | −0.00668026 | − | 0.0205597i | 0.947661 | − | 0.319279i | \(-0.103441\pi\) |
−0.954341 | + | 0.298719i | \(0.903441\pi\) | |||||||
\(230\) | 56.8093 | 3.74589 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 6.30213 | 0.413755 | ||||||||
\(233\) | −5.02003 | − | 15.4501i | −0.328873 | − | 1.01217i | −0.969662 | − | 0.244450i | \(-0.921393\pi\) |
0.640789 | − | 0.767717i | \(-0.278607\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −15.3010 | + | 11.1169i | −0.998130 | + | 0.725184i | ||||
\(236\) | −7.19313 | + | 22.1382i | −0.468233 | + | 1.44107i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 12.7914 | − | 9.29353i | 0.829146 | − | 0.602410i | ||||
\(239\) | −23.4622 | − | 17.0463i | −1.51764 | − | 1.10263i | −0.962640 | − | 0.270785i | \(-0.912717\pi\) |
−0.555004 | − | 0.831848i | \(-0.687283\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −29.3358 | −1.88968 | −0.944841 | − | 0.327530i | \(-0.893784\pi\) | ||||
−0.944841 | + | 0.327530i | \(0.893784\pi\) | |||||||
\(242\) | −26.2698 | + | 1.83125i | −1.68869 | + | 0.117717i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −2.40852 | − | 7.41266i | −0.154190 | − | 0.474547i | ||||
\(245\) | −3.18614 | − | 2.31487i | −0.203555 | − | 0.147892i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 5.47046 | − | 16.8364i | 0.348077 | − | 1.07127i | ||||
\(248\) | 10.8454 | − | 33.3786i | 0.688682 | − | 2.11955i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −42.0286 | − | 30.5356i | −2.65812 | − | 1.93124i | ||||
\(251\) | −3.96519 | − | 12.2036i | −0.250281 | − | 0.770285i | −0.994723 | − | 0.102598i | \(-0.967285\pi\) |
0.744442 | − | 0.667687i | \(-0.232715\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −12.3019 | − | 15.7492i | −0.773413 | − | 0.990145i | ||||
\(254\) | 0.430097 | 0.0269867 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 22.8967 | + | 16.6354i | 1.43104 | + | 1.03971i | ||||
\(257\) | 15.7928 | − | 11.4742i | 0.985131 | − | 0.715739i | 0.0262812 | − | 0.999655i | \(-0.491633\pi\) |
0.958849 | + | 0.283915i | \(0.0916335\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.187833 | − | 0.578090i | 0.0116714 | − | 0.0359208i | ||||
\(260\) | 35.6500 | − | 25.9012i | 2.21092 | − | 1.60632i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −6.94081 | − | 21.3616i | −0.428804 | − | 1.31972i | ||||
\(263\) | −23.9606 | −1.47747 | −0.738736 | − | 0.673995i | \(-0.764577\pi\) | ||||
−0.738736 | + | 0.673995i | \(0.764577\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 24.1352 | 1.48261 | ||||||||
\(266\) | 4.36697 | + | 13.4401i | 0.267756 | + | 0.824068i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 1.81024 | − | 1.31522i | 0.110578 | − | 0.0803398i | ||||
\(269\) | −3.49993 | + | 10.7717i | −0.213394 | + | 0.656760i | 0.785869 | + | 0.618393i | \(0.212216\pi\) |
−0.999264 | + | 0.0383676i | \(0.987784\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −4.95343 | + | 3.59888i | −0.300900 | + | 0.218616i | −0.727982 | − | 0.685596i | \(-0.759541\pi\) |
0.427082 | + | 0.904213i | \(0.359541\pi\) | |||||||
\(272\) | −13.1372 | − | 9.54476i | −0.796561 | − | 0.578736i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −2.13929 | −0.129239 | ||||||||
\(275\) | 1.21276 | + | 34.8371i | 0.0731321 | + | 2.10075i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 0.185461 | + | 0.570791i | 0.0111433 | + | 0.0342955i | 0.956474 | − | 0.291819i | \(-0.0942605\pi\) |
−0.945330 | + | 0.326115i | \(0.894260\pi\) | |||||||
\(278\) | −4.11136 | − | 2.98708i | −0.246583 | − | 0.179153i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −5.04335 | + | 15.5218i | −0.301398 | + | 0.927607i | ||||
\(281\) | −7.35528 | + | 22.6372i | −0.438779 | + | 1.35042i | 0.450385 | + | 0.892835i | \(0.351287\pi\) |
−0.889164 | + | 0.457589i | \(0.848713\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 14.0284 | + | 10.1922i | 0.833901 | + | 0.605864i | 0.920660 | − | 0.390365i | \(-0.127651\pi\) |
−0.0867595 | + | 0.996229i | \(0.527651\pi\) | |||||||
\(284\) | −1.62530 | − | 5.00216i | −0.0964438 | − | 0.296824i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −22.8878 | − | 6.56565i | −1.35338 | − | 0.388235i | ||||
\(287\) | −1.70333 | −0.100544 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −21.5363 | − | 15.6471i | −1.26684 | − | 0.920415i | ||||
\(290\) | −11.5996 | + | 8.42757i | −0.681149 | + | 0.494884i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 8.17278 | − | 25.1532i | 0.478276 | − | 1.47198i | ||||
\(293\) | −12.0642 | + | 8.76516i | −0.704799 | + | 0.512066i | −0.881491 | − | 0.472200i | \(-0.843460\pi\) |
0.176693 | + | 0.984266i | \(0.443460\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −7.59265 | − | 23.3678i | −0.442061 | − | 1.36052i | ||||
\(296\) | −2.51894 | −0.146411 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −34.2864 | −1.98616 | ||||||||
\(299\) | −5.58390 | − | 17.1855i | −0.322925 | − | 0.993862i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2.61607 | + | 1.90068i | −0.150788 | + | 0.109554i | ||||
\(302\) | −10.1968 | + | 31.3826i | −0.586761 | + | 1.80587i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 11.7419 | − | 8.53101i | 0.673446 | − | 0.489287i | ||||
\(305\) | 6.65581 | + | 4.83573i | 0.381111 | + | 0.276893i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 29.0453 | 1.65771 | 0.828853 | − | 0.559467i | \(-0.188994\pi\) | ||||
0.828853 | + | 0.559467i | \(0.188994\pi\) | |||||||
\(308\) | 11.6287 | − | 4.23107i | 0.662607 | − | 0.241088i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 24.6741 | + | 75.9390i | 1.40139 | + | 4.31304i | ||||
\(311\) | −16.4757 | − | 11.9703i | −0.934251 | − | 0.678773i | 0.0127790 | − | 0.999918i | \(-0.495932\pi\) |
−0.947030 | + | 0.321145i | \(0.895932\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −9.11004 | + | 28.0378i | −0.514930 | + | 1.58479i | 0.268479 | + | 0.963286i | \(0.413479\pi\) |
−0.783409 | + | 0.621506i | \(0.786521\pi\) | |||||||
\(314\) | −8.47839 | + | 26.0938i | −0.478463 | + | 1.47256i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 3.08872 | + | 2.24408i | 0.173754 | + | 0.126240i | ||||
\(317\) | −2.35635 | − | 7.25210i | −0.132346 | − | 0.407318i | 0.862822 | − | 0.505508i | \(-0.168695\pi\) |
−0.995168 | + | 0.0981896i | \(0.968695\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 4.84823 | + | 1.39077i | 0.271449 | + | 0.0778684i | ||||
\(320\) | −42.0142 | −2.34866 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 11.6699 | + | 8.47871i | 0.650341 | + | 0.472500i | ||||
\(323\) | 31.5415 | − | 22.9163i | 1.75502 | − | 1.27509i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −9.73985 | + | 29.9762i | −0.540270 | + | 1.66278i | ||||
\(326\) | −9.57265 | + | 6.95494i | −0.530180 | + | 0.385198i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 2.18127 | + | 6.71325i | 0.120440 | + | 0.370677i | ||||
\(329\) | −4.80237 | −0.264763 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 20.6731 | 1.13630 | 0.568148 | − | 0.822926i | \(-0.307660\pi\) | ||||
0.568148 | + | 0.822926i | \(0.307660\pi\) | |||||||
\(332\) | −3.55953 | − | 10.9551i | −0.195354 | − | 0.601239i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 16.5287 | − | 12.0088i | 0.904409 | − | 0.657092i | ||||
\(335\) | −0.729857 | + | 2.24627i | −0.0398764 | + | 0.122727i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 4.41929 | − | 3.21080i | 0.240734 | − | 0.174904i | −0.460876 | − | 0.887464i | \(-0.652465\pi\) |
0.701610 | + | 0.712561i | \(0.252465\pi\) | |||||||
\(338\) | 7.75984 | + | 5.63785i | 0.422080 | + | 0.306659i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 97.0475 | 5.26314 | ||||||||
\(341\) | 15.7095 | − | 23.2848i | 0.850714 | − | 1.26094i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −0.309017 | − | 0.951057i | −0.0166853 | − | 0.0513522i | ||||
\(344\) | 10.8412 | + | 7.87660i | 0.584519 | + | 0.424678i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −9.68187 | + | 29.7977i | −0.520501 | + | 1.60194i | ||||
\(347\) | −2.96072 | + | 9.11217i | −0.158940 | + | 0.489167i | −0.998539 | − | 0.0540400i | \(-0.982790\pi\) |
0.839599 | + | 0.543207i | \(0.182790\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −7.57277 | − | 5.50194i | −0.405361 | − | 0.294512i | 0.366360 | − | 0.930473i | \(-0.380604\pi\) |
−0.771721 | + | 0.635961i | \(0.780604\pi\) | |||||||
\(350\) | −7.77514 | − | 23.9294i | −0.415599 | − | 1.27908i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 4.90440 | + | 6.27875i | 0.261406 | + | 0.334659i | ||||
\(353\) | 27.6629 | 1.47235 | 0.736173 | − | 0.676794i | \(-0.236631\pi\) | ||||
0.736173 | + | 0.676794i | \(0.236631\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 4.49143 | + | 3.26322i | 0.238380 | + | 0.173193i | ||||
\(356\) | −7.50187 | + | 5.45043i | −0.397598 | + | 0.288872i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −19.1322 | + | 58.8828i | −1.01117 | + | 3.11205i | ||||
\(359\) | −2.10554 | + | 1.52976i | −0.111126 | + | 0.0807377i | −0.641960 | − | 0.766738i | \(-0.721879\pi\) |
0.530834 | + | 0.847476i | \(0.321879\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 4.89687 | + | 15.0710i | 0.257730 | + | 0.793212i | ||||
\(362\) | 51.2793 | 2.69518 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 11.1891 | 0.586466 | ||||||||
\(365\) | 8.62671 | + | 26.5503i | 0.451543 | + | 1.38971i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 8.36472 | − | 6.07732i | 0.436635 | − | 0.317234i | −0.347662 | − | 0.937620i | \(-0.613024\pi\) |
0.784296 | + | 0.620386i | \(0.213024\pi\) | |||||||
\(368\) | 4.57802 | − | 14.0897i | 0.238646 | − | 0.734476i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 4.63631 | − | 3.36847i | 0.241030 | − | 0.175119i | ||||
\(371\) | 4.95793 | + | 3.60215i | 0.257403 | + | 0.187014i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −5.15587 | −0.266961 | −0.133480 | − | 0.991051i | \(-0.542615\pi\) | ||||
−0.133480 | + | 0.991051i | \(0.542615\pi\) | |||||||
\(374\) | −32.2805 | − | 41.3264i | −1.66918 | − | 2.13694i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 6.14989 | + | 18.9274i | 0.317156 | + | 0.976106i | ||||
\(377\) | 3.68959 | + | 2.68064i | 0.190023 | + | 0.138060i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −10.9461 | + | 33.6886i | −0.562263 | + | 1.73047i | 0.113683 | + | 0.993517i | \(0.463735\pi\) |
−0.675946 | + | 0.736951i | \(0.736265\pi\) | |||||||
\(380\) | −26.8042 | + | 82.4948i | −1.37503 | + | 4.23189i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −7.24323 | − | 5.26252i | −0.370596 | − | 0.269254i | ||||
\(383\) | 9.70549 | + | 29.8704i | 0.495927 | + | 1.52631i | 0.815506 | + | 0.578748i | \(0.196459\pi\) |
−0.319579 | + | 0.947560i | \(0.603541\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −7.30526 | + | 10.8280i | −0.372310 | + | 0.551844i | ||||
\(386\) | 14.5537 | 0.740762 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −7.70608 | − | 5.59880i | −0.391217 | − | 0.284236i | ||||
\(389\) | 16.2441 | − | 11.8021i | 0.823611 | − | 0.598388i | −0.0941336 | − | 0.995560i | \(-0.530008\pi\) |
0.917745 | + | 0.397171i | \(0.130008\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 12.2976 | − | 37.8482i | 0.621917 | − | 1.91406i | ||||
\(392\) | −3.35264 | + | 2.43583i | −0.169334 | + | 0.123028i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −15.9391 | − | 49.0554i | −0.802998 | − | 2.47137i | ||||
\(395\) | −4.02992 | −0.202767 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 3.63351 | 0.182361 | 0.0911804 | − | 0.995834i | \(-0.470936\pi\) | ||||
0.0911804 | + | 0.995834i | \(0.470936\pi\) | |||||||
\(398\) | −11.0201 | − | 33.9162i | −0.552385 | − | 1.70007i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −20.9058 | + | 15.1890i | −1.04529 | + | 0.759449i | ||||
\(401\) | −11.6286 | + | 35.7891i | −0.580704 | + | 1.78722i | 0.0351753 | + | 0.999381i | \(0.488801\pi\) |
−0.615879 | + | 0.787841i | \(0.711199\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 20.5472 | − | 14.9284i | 1.02353 | − | 0.743637i | ||||
\(404\) | −45.7523 | − | 33.2410i | −2.27626 | − | 1.65380i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −3.64062 | −0.180681 | ||||||||
\(407\) | −1.93782 | − | 0.555889i | −0.0960542 | − | 0.0275544i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 4.97700 | + | 15.3176i | 0.246097 | + | 0.757409i | 0.995454 | + | 0.0952425i | \(0.0303627\pi\) |
−0.749357 | + | 0.662166i | \(0.769637\pi\) | |||||||
\(410\) | −12.9921 | − | 9.43934i | −0.641636 | − | 0.466176i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −15.9528 | + | 49.0977i | −0.785938 | + | 2.41887i | ||||
\(413\) | 1.92791 | − | 5.93348i | 0.0948660 | − | 0.291968i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 9.83656 | + | 7.14668i | 0.482858 | + | 0.350817i | ||||
\(416\) | 2.22614 | + | 6.85135i | 0.109145 | + | 0.335915i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 44.0450 | − | 16.0257i | 2.15431 | − | 0.783842i | ||||
\(419\) | 17.7128 | 0.865325 | 0.432662 | − | 0.901556i | \(-0.357574\pi\) | ||||
0.432662 | + | 0.901556i | \(0.357574\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −24.4906 | − | 17.7935i | −1.19360 | − | 0.867202i | −0.199961 | − | 0.979804i | \(-0.564081\pi\) |
−0.993640 | + | 0.112602i | \(0.964081\pi\) | |||||||
\(422\) | −32.8462 | + | 23.8641i | −1.59893 | + | 1.16169i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 7.84792 | − | 24.1534i | 0.381129 | − | 1.17299i | ||||
\(425\) | −56.1579 | + | 40.8011i | −2.72406 | + | 1.97914i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.645533 | + | 1.98674i | 0.0312395 | + | 0.0961453i | ||||
\(428\) | −1.66275 | −0.0803720 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −30.4871 | −1.47022 | ||||||||
\(431\) | −5.93060 | − | 18.2525i | −0.285667 | − | 0.879193i | −0.986198 | − | 0.165571i | \(-0.947053\pi\) |
0.700531 | − | 0.713622i | \(-0.252947\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −17.5992 | + | 12.7866i | −0.845765 | + | 0.614484i | −0.923975 | − | 0.382453i | \(-0.875079\pi\) |
0.0782102 | + | 0.996937i | \(0.475079\pi\) | |||||||
\(434\) | −6.26517 | + | 19.2822i | −0.300738 | + | 0.925576i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −33.5016 | + | 24.3403i | −1.60443 | + | 1.16569i | ||||
\(437\) | 28.7761 | + | 20.9071i | 1.37655 | + | 1.00012i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 2.70519 | 0.129112 | 0.0645558 | − | 0.997914i | \(-0.479437\pi\) | ||||
0.0645558 | + | 0.997914i | \(0.479437\pi\) | |||||||
\(440\) | 52.0309 | + | 14.9257i | 2.48048 | + | 0.711556i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −14.6523 | − | 45.0952i | −0.696939 | − | 2.14496i | ||||
\(443\) | 30.9266 | + | 22.4695i | 1.46937 | + | 1.06756i | 0.980797 | + | 0.195032i | \(0.0624812\pi\) |
0.488570 | + | 0.872525i | \(0.337519\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 3.02462 | − | 9.30881i | 0.143381 | − | 0.441280i | ||||
\(446\) | −10.2182 | + | 31.4482i | −0.483844 | + | 1.48912i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −8.63069 | − | 6.27056i | −0.407762 | − | 0.296256i | ||||
\(449\) | −7.01814 | − | 21.5996i | −0.331207 | − | 1.01935i | −0.968561 | − | 0.248778i | \(-0.919971\pi\) |
0.637354 | − | 0.770571i | \(-0.280029\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.196546 | + | 5.64587i | 0.00925498 | + | 0.265854i | ||||
\(452\) | 30.1819 | 1.41964 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −14.0482 | − | 10.2066i | −0.659313 | − | 0.479019i | ||||
\(455\) | −9.55492 | + | 6.94205i | −0.447942 | + | 0.325449i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −0.485722 | + | 1.49490i | −0.0227211 | + | 0.0699285i | −0.961774 | − | 0.273844i | \(-0.911705\pi\) |
0.939053 | + | 0.343772i | \(0.111705\pi\) | |||||||
\(458\) | 0.633583 | − | 0.460325i | 0.0296054 | − | 0.0215096i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 27.3600 | + | 84.2054i | 1.27567 | + | 3.92610i | ||||
\(461\) | 28.1276 | 1.31003 | 0.655017 | − | 0.755614i | \(-0.272661\pi\) | ||||
0.655017 | + | 0.755614i | \(0.272661\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4.69202 | −0.218057 | −0.109028 | − | 0.994039i | \(-0.534774\pi\) | ||||
−0.109028 | + | 0.994039i | \(0.534774\pi\) | |||||||
\(464\) | 1.15543 | + | 3.55604i | 0.0536393 | + | 0.165085i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 31.4629 | − | 22.8591i | 1.45749 | − | 1.05893i | ||||
\(467\) | 5.44286 | − | 16.7514i | 0.251866 | − | 0.775163i | −0.742565 | − | 0.669773i | \(-0.766391\pi\) |
0.994431 | − | 0.105389i | \(-0.0336088\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −0.485183 | + | 0.352506i | −0.0224037 | + | 0.0162772i | ||||
\(470\) | −36.6301 | − | 26.6134i | −1.68962 | − | 1.22758i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −25.8543 | −1.19004 | ||||||||
\(473\) | 6.60190 | + | 8.45194i | 0.303556 | + | 0.388621i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −19.1722 | − | 59.0058i | −0.879679 | − | 2.70737i | ||||
\(476\) | 19.9358 | + | 14.4842i | 0.913757 | + | 0.663883i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 21.4541 | − | 66.0290i | 0.981289 | − | 3.02010i | ||||
\(479\) | 3.30865 | − | 10.1830i | 0.151176 | − | 0.465271i | −0.846578 | − | 0.532265i | \(-0.821341\pi\) |
0.997753 | + | 0.0669940i | \(0.0213408\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.47472 | − | 1.07144i | −0.0672413 | − | 0.0488536i | ||||
\(482\) | −21.7019 | − | 66.7915i | −0.988493 | − | 3.04227i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −15.3662 | − | 38.0565i | −0.698465 | − | 1.72984i | ||||
\(485\) | 10.0543 | 0.456542 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −31.3577 | − | 22.7827i | −1.42095 | − | 1.03238i | −0.991613 | − | 0.129239i | \(-0.958746\pi\) |
−0.429339 | − | 0.903143i | \(-0.641254\pi\) | |||||||
\(488\) | 7.00362 | − | 5.08843i | 0.317039 | − | 0.230342i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 2.91345 | − | 8.96668i | 0.131616 | − | 0.405073i | ||||
\(491\) | −4.85460 | + | 3.52707i | −0.219085 | + | 0.159174i | −0.691915 | − | 0.721979i | \(-0.743233\pi\) |
0.472830 | + | 0.881154i | \(0.343233\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 3.10374 | + | 9.55233i | 0.139785 | + | 0.430215i | ||||
\(494\) | 42.3798 | 1.90676 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 20.8226 | 0.934962 | ||||||||
\(497\) | 0.435614 | + | 1.34068i | 0.0195399 | + | 0.0601378i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 23.4434 | − | 17.0326i | 1.04947 | − | 0.762484i | 0.0773578 | − | 0.997003i | \(-0.475352\pi\) |
0.972111 | + | 0.234519i | \(0.0753516\pi\) | |||||||
\(500\) | 25.0198 | − | 77.0031i | 1.11892 | − | 3.44369i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 24.8517 | − | 18.0559i | 1.10919 | − | 0.805872i | ||||
\(503\) | −10.4086 | − | 7.56227i | −0.464095 | − | 0.337185i | 0.331040 | − | 0.943617i | \(-0.392600\pi\) |
−0.795136 | + | 0.606432i | \(0.792600\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 59.6940 | 2.65635 | ||||||||
\(506\) | 26.7571 | − | 39.6598i | 1.18950 | − | 1.76309i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0.207140 | + | 0.637511i | 0.00919035 | + | 0.0282850i | ||||
\(509\) | 15.9668 | + | 11.6006i | 0.707718 | + | 0.514187i | 0.882437 | − | 0.470431i | \(-0.155902\pi\) |
−0.174719 | + | 0.984618i | \(0.555902\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −2.19047 | + | 6.74158i | −0.0969008 | + | 0.298230i | ||||
\(512\) | −8.12226 | + | 24.9977i | −0.358956 | + | 1.10475i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 37.8075 | + | 27.4687i | 1.66762 | + | 1.21159i | ||||
\(515\) | −16.8389 | − | 51.8247i | −0.742009 | − | 2.28367i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.554143 | + | 15.9180i | 0.0243712 | + | 0.700074i | ||||
\(518\) | 1.45515 | 0.0639355 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 39.5964 | + | 28.7685i | 1.73642 | + | 1.26158i | ||||
\(521\) | −18.9250 | + | 13.7498i | −0.829118 | + | 0.602390i | −0.919310 | − | 0.393535i | \(-0.871252\pi\) |
0.0901914 | + | 0.995924i | \(0.471252\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −3.33109 | + | 10.2520i | −0.145659 | + | 0.448291i | −0.997095 | − | 0.0761668i | \(-0.975732\pi\) |
0.851437 | + | 0.524458i | \(0.175732\pi\) | |||||||
\(524\) | 28.3204 | − | 20.5760i | 1.23718 | − | 0.898866i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −17.7254 | − | 54.5533i | −0.772866 | − | 2.37864i | ||||
\(527\) | 55.9343 | 2.43653 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 13.3068 | 0.578556 | ||||||||
\(530\) | 17.8546 | + | 54.9509i | 0.775555 | + | 2.38691i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −17.8185 | + | 12.9459i | −0.772528 | + | 0.561274i | ||||
\(533\) | −1.57849 | + | 4.85809i | −0.0683720 | + | 0.210427i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1.41991 | − | 1.03162i | 0.0613879 | − | 0.0446010i | ||||
\(536\) | 2.01064 | + | 1.46082i | 0.0868464 | + | 0.0630976i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −27.1140 | −1.16897 | ||||||||
\(539\) | −3.11673 | + | 1.13401i | −0.134247 | + | 0.0488455i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −1.98437 | − | 6.10725i | −0.0853146 | − | 0.262571i | 0.899294 | − | 0.437344i | \(-0.144081\pi\) |
−0.984609 | + | 0.174773i | \(0.944081\pi\) | |||||||
\(542\) | −11.8583 | − | 8.61558i | −0.509359 | − | 0.370071i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −4.90270 | + | 15.0890i | −0.210201 | + | 0.646934i | ||||
\(545\) | 13.5072 | − | 41.5709i | 0.578585 | − | 1.78070i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 22.6953 | + | 16.4891i | 0.970380 | + | 0.705022i | 0.955538 | − | 0.294868i | \(-0.0952756\pi\) |
0.0148415 | + | 0.999890i | \(0.495276\pi\) | |||||||
\(548\) | −1.03030 | − | 3.17095i | −0.0440124 | − | 0.135456i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −78.4197 | + | 28.5328i | −3.34383 | + | 1.21664i | ||||
\(551\) | −8.97715 | −0.382440 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.827839 | − | 0.601461i | −0.0352033 | − | 0.0255767i | ||||
\(554\) | −1.16237 | + | 0.844514i | −0.0493846 | + | 0.0358800i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 2.44751 | − | 7.53267i | 0.103798 | − | 0.319456i | ||||
\(557\) | 18.6966 | − | 13.5838i | 0.792198 | − | 0.575566i | −0.116417 | − | 0.993200i | \(-0.537141\pi\) |
0.908615 | + | 0.417635i | \(0.137141\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 2.99664 | + | 9.22272i | 0.126744 | + | 0.390079i | ||||
\(560\) | −9.68299 | −0.409181 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −56.9815 | −2.40362 | ||||||||
\(563\) | 8.91315 | + | 27.4319i | 0.375644 | + | 1.15611i | 0.943043 | + | 0.332671i | \(0.107950\pi\) |
−0.567398 | + | 0.823443i | \(0.692050\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −25.7739 | + | 18.7259i | −1.08432 | + | 0.787803i | ||||
\(566\) | −12.8277 | + | 39.4797i | −0.539189 | + | 1.65945i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 4.72613 | − | 3.43374i | 0.198304 | − | 0.144076i | ||||
\(569\) | −14.3811 | − | 10.4485i | −0.602886 | − | 0.438022i | 0.244016 | − | 0.969771i | \(-0.421535\pi\) |
−0.846902 | + | 0.531749i | \(0.821535\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 17.8981 | 0.749012 | 0.374506 | − | 0.927225i | \(-0.377812\pi\) | ||||
0.374506 | + | 0.927225i | \(0.377812\pi\) | |||||||
\(572\) | −1.29110 | − | 37.0874i | −0.0539835 | − | 1.55070i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −1.26008 | − | 3.87812i | −0.0525947 | − | 0.161870i | ||||
\(575\) | −51.2342 | − | 37.2238i | −2.13661 | − | 1.55234i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 6.51311 | − | 20.0453i | 0.271144 | − | 0.834496i | −0.719070 | − | 0.694938i | \(-0.755432\pi\) |
0.990214 | − | 0.139558i | \(-0.0445682\pi\) | |||||||
\(578\) | 19.6931 | − | 60.6091i | 0.819124 | − | 2.52101i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −18.0782 | − | 13.1346i | −0.750657 | − | 0.545385i | ||||
\(581\) | 0.954026 | + | 2.93619i | 0.0395797 | + | 0.121814i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 11.3677 | − | 16.8493i | 0.470800 | − | 0.697827i | ||||
\(584\) | 29.3754 | 1.21556 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −28.8813 | − | 20.9835i | −1.19307 | − | 0.866819i | ||||
\(587\) | 14.0070 | − | 10.1767i | 0.578131 | − | 0.420037i | −0.259919 | − | 0.965630i | \(-0.583696\pi\) |
0.838050 | + | 0.545594i | \(0.183696\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −15.4488 | + | 47.5466i | −0.636558 | + | 1.95913i | ||||
\(590\) | 47.5868 | − | 34.5738i | 1.95912 | − | 1.42338i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −0.461820 | − | 1.42134i | −0.0189807 | − | 0.0584166i | ||||
\(593\) | 26.3881 | 1.08363 | 0.541814 | − | 0.840498i | \(-0.317738\pi\) | ||||
0.541814 | + | 0.840498i | \(0.317738\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −26.0107 | −1.06634 | ||||||||
\(596\) | −16.5127 | − | 50.8210i | −0.676388 | − | 2.08171i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 34.9970 | − | 25.4268i | 1.43113 | − | 1.03978i | ||||
\(599\) | 8.73262 | − | 26.8762i | 0.356805 | − | 1.09813i | −0.598150 | − | 0.801384i | \(-0.704097\pi\) |
0.954955 | − | 0.296749i | \(-0.0959026\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 0.356702 | − | 0.259159i | 0.0145502 | − | 0.0105713i | −0.580486 | − | 0.814270i | \(-0.697138\pi\) |
0.595037 | + | 0.803699i | \(0.297138\pi\) | |||||||
\(602\) | −6.26276 | − | 4.55016i | −0.255251 | − | 0.185451i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −51.4277 | −2.09256 | ||||||||
\(605\) | 36.7335 | + | 22.9647i | 1.49343 | + | 0.933648i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 0.172767 | + | 0.531721i | 0.00701238 | + | 0.0215819i | 0.954501 | − | 0.298206i | \(-0.0963883\pi\) |
−0.947489 | + | 0.319788i | \(0.896388\pi\) | |||||||
\(608\) | −11.4722 | − | 8.33503i | −0.465259 | − | 0.338030i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −6.08616 | + | 18.7313i | −0.246421 | + | 0.758407i | ||||
\(611\) | −4.45041 | + | 13.6969i | −0.180044 | + | 0.554119i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −24.5796 | − | 17.8581i | −0.992759 | − | 0.721282i | −0.0322356 | − | 0.999480i | \(-0.510263\pi\) |
−0.960524 | + | 0.278199i | \(0.910263\pi\) | |||||||
\(614\) | 21.4870 | + | 66.1303i | 0.867146 | + | 2.66880i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 8.46072 | + | 10.8316i | 0.340892 | + | 0.436419i | ||||
\(617\) | −2.35080 | −0.0946395 | −0.0473198 | − | 0.998880i | \(-0.515068\pi\) | ||||
−0.0473198 | + | 0.998880i | \(0.515068\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −4.94340 | − | 3.59159i | −0.198692 | − | 0.144358i | 0.483991 | − | 0.875073i | \(-0.339187\pi\) |
−0.682683 | + | 0.730715i | \(0.739187\pi\) | |||||||
\(620\) | −100.677 | + | 73.1462i | −4.04329 | + | 2.93762i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 15.0656 | − | 46.3671i | 0.604075 | − | 1.85915i | ||||
\(623\) | 2.01066 | − | 1.46083i | 0.0805552 | − | 0.0585268i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 10.1705 | + | 31.3014i | 0.406818 | + | 1.25206i | ||||
\(626\) | −70.5757 | −2.82077 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −42.7608 | −1.70634 | ||||||||
\(629\) | −1.24056 | − | 3.81804i | −0.0494642 | − | 0.152235i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 23.3662 | − | 16.9765i | 0.930193 | − | 0.675824i | −0.0158474 | − | 0.999874i | \(-0.505045\pi\) |
0.946040 | + | 0.324050i | \(0.105045\pi\) | |||||||
\(632\) | −1.31039 | + | 4.03296i | −0.0521244 | + | 0.160422i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 14.7684 | − | 10.7298i | 0.586526 | − | 0.426136i | ||||
\(635\) | −0.572420 | − | 0.415888i | −0.0227158 | − | 0.0165040i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −2.99890 | −0.118821 | ||||||||
\(638\) | 0.420089 | + | 12.0673i | 0.0166315 | + | 0.477748i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −25.2341 | − | 77.6626i | −0.997465 | − | 3.06988i | ||||
\(641\) | −32.2196 | − | 23.4089i | −1.27260 | − | 0.924596i | −0.273295 | − | 0.961930i | \(-0.588113\pi\) |
−0.999303 | + | 0.0373342i | \(0.988113\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 1.80999 | − | 5.57056i | 0.0713788 | − | 0.219681i | −0.909003 | − | 0.416790i | \(-0.863155\pi\) |
0.980382 | + | 0.197108i | \(0.0631551\pi\) | |||||||
\(644\) | −6.94718 | + | 21.3812i | −0.273757 | + | 0.842538i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 75.5092 | + | 54.8607i | 2.97087 | + | 2.15846i | ||||
\(647\) | −6.97929 | − | 21.4801i | −0.274384 | − | 0.844468i | −0.989382 | − | 0.145341i | \(-0.953572\pi\) |
0.714997 | − | 0.699127i | \(-0.246428\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −19.8897 | − | 5.70561i | −0.780738 | − | 0.223965i | ||||
\(650\) | −75.4549 | −2.95958 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −14.9192 | − | 10.8395i | −0.584282 | − | 0.424506i | ||||
\(653\) | −33.0377 | + | 24.0033i | −1.29287 | + | 0.939323i | −0.999859 | − | 0.0167876i | \(-0.994656\pi\) |
−0.293007 | + | 0.956110i | \(0.594656\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −11.4183 | + | 35.1418i | −0.446149 | + | 1.37310i | ||||
\(656\) | −3.38811 | + | 2.46160i | −0.132283 | + | 0.0961094i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −3.55268 | − | 10.9340i | −0.138498 | − | 0.426252i | ||||
\(659\) | −32.5869 | −1.26941 | −0.634703 | − | 0.772756i | \(-0.718878\pi\) | ||||
−0.634703 | + | 0.772756i | \(0.718878\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 43.6393 | 1.69737 | 0.848686 | − | 0.528898i | \(-0.177395\pi\) | ||||
0.848686 | + | 0.528898i | \(0.177395\pi\) | |||||||
\(662\) | 15.2934 | + | 47.0684i | 0.594397 | + | 1.82936i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 10.3506 | − | 7.52013i | 0.401680 | − | 0.291838i | ||||
\(665\) | 7.18407 | − | 22.1103i | 0.278586 | − | 0.857400i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −7.41327 | + | 5.38606i | −0.287043 | + | 0.208549i | ||||
\(668\) | 25.7604 | + | 18.7160i | 0.996700 | + | 0.724145i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −5.65422 | −0.218442 | ||||||||
\(671\) | 6.51081 | − | 2.36894i | 0.251347 | − | 0.0914520i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −7.37679 | − | 22.7034i | −0.284354 | − | 0.875153i | −0.986591 | − | 0.163210i | \(-0.947815\pi\) |
0.702237 | − | 0.711943i | \(-0.252185\pi\) | |||||||
\(674\) | 10.5796 | + | 7.68655i | 0.407512 | + | 0.296075i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −4.61947 | + | 14.2173i | −0.177672 | + | 0.546818i | ||||
\(677\) | 1.31843 | − | 4.05770i | 0.0506712 | − | 0.155950i | −0.922519 | − | 0.385952i | \(-0.873873\pi\) |
0.973190 | + | 0.230002i | \(0.0738732\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 2.06539 | + | 1.50059i | 0.0792623 | + | 0.0575875i | ||||
\(680\) | 33.3092 | + | 102.515i | 1.27735 | + | 3.93127i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 64.6361 | + | 18.5417i | 2.47504 | + | 0.709998i | ||||
\(683\) | −5.88217 | −0.225075 | −0.112537 | − | 0.993647i | \(-0.535898\pi\) | ||||
−0.112537 | + | 0.993647i | \(0.535898\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 2.84719 | + | 2.06861i | 0.108786 | + | 0.0790374i | ||||
\(686\) | 1.93676 | − | 1.40714i | 0.0739457 | − | 0.0537247i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −2.45683 | + | 7.56134i | −0.0936657 | + | 0.288273i | ||||
\(689\) | 14.8683 | − | 10.8025i | 0.566438 | − | 0.411542i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −0.0734097 | − | 0.225932i | −0.00279264 | − | 0.00859485i | 0.949650 | − | 0.313311i | \(-0.101438\pi\) |
−0.952443 | + | 0.304716i | \(0.901438\pi\) | |||||||
\(692\) | −48.8305 | −1.85626 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −22.9368 | −0.870669 | ||||||||
\(695\) | 2.58345 | + | 7.95105i | 0.0979960 | + | 0.301601i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −9.10123 | + | 6.61243i | −0.344734 | + | 0.250464i | ||||
\(698\) | 6.92463 | − | 21.3118i | 0.262101 | − | 0.806664i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 31.7247 | − | 23.0494i | 1.19908 | − | 0.871184i | ||||
\(701\) | −8.57852 | − | 6.23266i | −0.324006 | − | 0.235404i | 0.413877 | − | 0.910333i | \(-0.364174\pi\) |
−0.737883 | + | 0.674929i | \(0.764174\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 3.58814 | 0.135329 | ||||||||
\(704\) | −19.7886 | + | 29.3310i | −0.745812 | + | 1.10545i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 20.4643 | + | 62.9826i | 0.770184 | + | 2.37038i | ||||
\(707\) | 12.2625 | + | 8.90926i | 0.461180 | + | 0.335067i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −14.9328 | + | 45.9585i | −0.560813 | + | 1.72601i | 0.119261 | + | 0.992863i | \(0.461947\pi\) |
−0.680074 | + | 0.733143i | \(0.738053\pi\) | |||||||
\(710\) | −4.10702 | + | 12.6401i | −0.154134 | + | 0.474375i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −8.33233 | − | 6.05379i | −0.312267 | − | 0.226876i | ||||
\(713\) | 15.7692 | + | 48.5326i | 0.590561 | + | 1.81756i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 24.1128 | + | 30.8699i | 0.901767 | + | 1.15447i | ||||
\(716\) | −96.4932 | −3.60612 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −5.04057 | − | 3.66219i | −0.188113 | − | 0.136672i | ||||
\(719\) | −29.3379 | + | 21.3152i | −1.09412 | + | 0.794925i | −0.980090 | − | 0.198553i | \(-0.936376\pi\) |
−0.114030 | + | 0.993477i | \(0.536376\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 4.27568 | − | 13.1592i | 0.159235 | − | 0.490073i | ||||
\(722\) | −30.6910 | + | 22.2983i | −1.14220 | + | 0.829859i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 24.6967 | + | 76.0086i | 0.917845 | + | 2.82484i | ||||
\(725\) | 15.9833 | 0.593605 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 1.15184 | 0.0427195 | 0.0213597 | − | 0.999772i | \(-0.493200\pi\) | ||||
0.0213597 | + | 0.999772i | \(0.493200\pi\) | |||||||
\(728\) | 3.84037 | + | 11.8194i | 0.142334 | + | 0.438058i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −54.0677 | + | 39.2825i | −2.00114 | + | 1.45391i | ||||
\(731\) | −6.59961 | + | 20.3115i | −0.244095 | + | 0.751248i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 21.9277 | − | 15.9314i | 0.809919 | − | 0.588441i | −0.103888 | − | 0.994589i | \(-0.533128\pi\) |
0.913807 | + | 0.406148i | \(0.133128\pi\) | |||||||
\(734\) | 20.0248 | + | 14.5489i | 0.739130 | + | 0.537009i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −14.4745 | −0.533535 | ||||||||
\(737\) | 1.22441 | + | 1.56752i | 0.0451016 | + | 0.0577403i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −7.35516 | − | 22.6369i | −0.270564 | − | 0.832710i | −0.990359 | − | 0.138524i | \(-0.955764\pi\) |
0.719795 | − | 0.694186i | \(-0.244236\pi\) | |||||||
\(740\) | 7.22581 | + | 5.24986i | 0.265626 | + | 0.192989i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −4.53360 | + | 13.9530i | −0.166434 | + | 0.512230i | ||||
\(743\) | −4.65554 | + | 14.3283i | −0.170795 | + | 0.525653i | −0.999417 | − | 0.0341562i | \(-0.989126\pi\) |
0.828621 | + | 0.559809i | \(0.189126\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 45.6321 | + | 33.1536i | 1.67183 | + | 1.21466i | ||||
\(746\) | −3.81418 | − | 11.7389i | −0.139647 | − | 0.429790i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 45.7093 | − | 67.7510i | 1.67130 | − | 2.47722i | ||||
\(749\) | 0.445651 | 0.0162837 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −8.58427 | − | 6.23684i | −0.313244 | − | 0.227585i | 0.420043 | − | 0.907504i | \(-0.362015\pi\) |
−0.733287 | + | 0.679919i | \(0.762015\pi\) | |||||||
\(752\) | −9.55245 | + | 6.94026i | −0.348342 | + | 0.253085i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −3.37380 | + | 10.3835i | −0.122867 | + | 0.378145i | ||||
\(755\) | 43.9168 | − | 31.9074i | 1.59830 | − | 1.16123i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −10.8422 | − | 33.3690i | −0.394068 | − | 1.21282i | −0.929685 | − | 0.368355i | \(-0.879921\pi\) |
0.535618 | − | 0.844461i | \(-0.320079\pi\) | |||||||
\(758\) | −84.7997 | −3.08006 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −96.3423 | −3.49470 | ||||||||
\(761\) | −11.5231 | − | 35.4644i | −0.417712 | − | 1.28558i | −0.909803 | − | 0.415040i | \(-0.863767\pi\) |
0.492091 | − | 0.870544i | \(-0.336233\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 8.97911 | − | 6.52370i | 0.325066 | − | 0.236174i | ||||
\(764\) | 4.31193 | − | 13.2708i | 0.156000 | − | 0.480119i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −60.8289 | + | 44.1948i | −2.19784 | + | 1.59682i | ||||
\(767\) | −15.1364 | − | 10.9972i | −0.546544 | − | 0.397087i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 21.8827 | 0.789110 | 0.394555 | − | 0.918872i | \(-0.370899\pi\) | ||||
0.394555 | + | 0.918872i | \(0.370899\pi\) | |||||||
\(770\) | −30.0573 | − | 8.62231i | −1.08319 | − | 0.310727i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 7.00921 | + | 21.5721i | 0.252267 | + | 0.776398i | ||||
\(773\) | −27.8902 | − | 20.2634i | −1.00314 | − | 0.728824i | −0.0403807 | − | 0.999184i | \(-0.512857\pi\) |
−0.962759 | + | 0.270361i | \(0.912857\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 27.5058 | − | 84.6541i | 0.988037 | − | 3.04086i | ||||
\(776\) | 3.26931 | − | 10.0619i | 0.117361 | − | 0.361201i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 38.8879 | + | 28.2537i | 1.39420 | + | 1.01294i | ||||
\(779\) | −3.10714 | − | 9.56279i | −0.111325 | − | 0.342622i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 4.39358 | − | 1.59859i | 0.157215 | − | 0.0572022i | ||||
\(782\) | 95.2699 | 3.40685 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −1.98911 | − | 1.44517i | −0.0710397 | − | 0.0516134i | ||||
\(785\) | 36.5156 | − | 26.5302i | 1.30330 | − | 0.946902i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 3.60525 | − | 11.0958i | 0.128513 | − | 0.395524i | −0.866011 | − | 0.500024i | \(-0.833324\pi\) |
0.994525 | + | 0.104501i | \(0.0333244\pi\) | |||||||
\(788\) | 65.0358 | − | 47.2513i | 2.31681 | − | 1.68326i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −2.98123 | − | 9.17529i | −0.106068 | − | 0.326442i | ||||
\(791\) | −8.08938 | −0.287625 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 6.26466 | 0.222464 | ||||||||
\(794\) | 2.68798 | + | 8.27276i | 0.0953929 | + | 0.293589i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 44.9649 | − | 32.6689i | 1.59374 | − | 1.15792i | ||||
\(797\) | 10.8564 | − | 33.4127i | 0.384555 | − | 1.18354i | −0.552248 | − | 0.833680i | \(-0.686230\pi\) |
0.936803 | − | 0.349858i | \(-0.113770\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −25.6601 | + | 18.6431i | −0.907788 | + | 0.659547i | ||||
\(800\) | 20.4256 | + | 14.8400i | 0.722153 | + | 0.524675i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −90.0869 | −3.18108 | ||||||||
\(803\) | 22.5985 | + | 6.48267i | 0.797484 | + | 0.228768i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −7.33304 | − | 22.5688i | −0.258456 | − | 0.795445i | ||||
\(806\) | 49.1892 | + | 35.7381i | 1.73262 | + | 1.25882i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 19.4104 | − | 59.7390i | 0.682855 | − | 2.10161i | ||||
\(809\) | 4.48802 | − | 13.8127i | 0.157790 | − | 0.485629i | −0.840643 | − | 0.541590i | \(-0.817822\pi\) |
0.998433 | + | 0.0559616i | \(0.0178225\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −1.42724 | − | 1.03695i | −0.0501172 | − | 0.0364123i | 0.562445 | − | 0.826835i | \(-0.309861\pi\) |
−0.612562 | + | 0.790423i | \(0.709861\pi\) | |||||||
\(812\) | −1.75337 | − | 5.39631i | −0.0615311 | − | 0.189373i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −0.167908 | − | 4.82325i | −0.00588519 | − | 0.169055i | ||||
\(815\) | 19.4655 | 0.681846 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −15.4429 | − | 11.2199i | −0.540279 | − | 0.392536i | ||||
\(818\) | −31.1932 | + | 22.6632i | −1.09065 | + | 0.792401i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 7.73428 | − | 23.8037i | 0.270093 | − | 0.831260i | ||||
\(821\) | −7.89660 | + | 5.73722i | −0.275593 | + | 0.200230i | −0.716993 | − | 0.697080i | \(-0.754482\pi\) |
0.441400 | + | 0.897311i | \(0.354482\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −14.1011 | − | 43.3988i | −0.491534 | − | 1.51279i | −0.822289 | − | 0.569070i | \(-0.807303\pi\) |
0.330755 | − | 0.943717i | \(-0.392697\pi\) | |||||||
\(824\) | −57.3392 | −1.99750 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 14.9355 | 0.519674 | ||||||||
\(827\) | −6.41263 | − | 19.7361i | −0.222989 | − | 0.686290i | −0.998490 | − | 0.0549428i | \(-0.982502\pi\) |
0.775500 | − | 0.631347i | \(-0.217498\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −13.2572 | + | 9.63191i | −0.460441 | + | 0.334530i | −0.793704 | − | 0.608304i | \(-0.791850\pi\) |
0.333263 | + | 0.942834i | \(0.391850\pi\) | |||||||
\(830\) | −8.99467 | + | 27.6828i | −0.312210 | + | 0.960883i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −25.8825 | + | 18.8048i | −0.897316 | + | 0.651938i | ||||
\(833\) | −5.34321 | − | 3.88207i | −0.185131 | − | 0.134506i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −33.6102 | −1.16313 | ||||||||
\(836\) | 44.9666 | + | 57.5675i | 1.55520 | + | 1.99101i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 13.1035 | + | 40.3283i | 0.452651 | + | 1.39312i | ||||
\(839\) | 28.3913 | + | 20.6275i | 0.980176 | + | 0.712139i | 0.957748 | − | 0.287609i | \(-0.0928604\pi\) |
0.0224277 | + | 0.999748i | \(0.492860\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −8.24683 | + | 25.3811i | −0.284374 | + | 0.875212i | ||||
\(842\) | 22.3945 | − | 68.9233i | 0.771767 | − | 2.37525i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −51.1917 | − | 37.1929i | −1.76209 | − | 1.28023i | ||||
\(845\) | −4.87605 | − | 15.0069i | −0.167741 | − | 0.516254i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 4.11846 | + | 10.1999i | 0.141512 | + | 0.350473i | ||||
\(848\) | 15.0676 | 0.517424 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −134.440 | − | 97.6763i | −4.61125 | − | 3.35027i | ||||
\(851\) | 2.96306 | − | 2.15279i | 0.101572 | − | 0.0737967i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −3.49282 | + | 10.7498i | −0.119592 | + | 0.368066i | −0.992877 | − | 0.119144i | \(-0.961985\pi\) |
0.873285 | + | 0.487209i | \(0.161985\pi\) | |||||||
\(854\) | −4.04586 | + | 2.93949i | −0.138446 | + | 0.100587i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −0.570697 | − | 1.75643i | −0.0195060 | − | 0.0600334i | ||||
\(857\) | −13.8531 | −0.473214 | −0.236607 | − | 0.971605i | \(-0.576035\pi\) | ||||
−0.236607 | + | 0.971605i | \(0.576035\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −5.23831 | −0.178729 | −0.0893645 | − | 0.995999i | \(-0.528484\pi\) | ||||
−0.0893645 | + | 0.995999i | \(0.528484\pi\) | |||||||
\(860\) | −14.6829 | − | 45.1895i | −0.500684 | − | 1.54095i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 37.1699 | − | 27.0055i | 1.26601 | − | 0.919812i | ||||
\(863\) | 12.7095 | − | 39.1159i | 0.432637 | − | 1.33152i | −0.462851 | − | 0.886436i | \(-0.653174\pi\) |
0.895489 | − | 0.445085i | \(-0.146826\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 41.6989 | − | 30.2960i | 1.41781 | − | 1.03010i | ||||
\(866\) | −42.1319 | − | 30.6106i | −1.43170 | − | 1.04019i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −31.5984 | −1.07252 | ||||||||
\(869\) | −1.89809 | + | 2.81337i | −0.0643882 | + | 0.0954371i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.555765 | + | 1.71047i | 0.0188314 | + | 0.0579571i | ||||
\(872\) | −37.2102 | − | 27.0348i | −1.26010 | − | 0.915514i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −26.3132 | + | 80.9838i | −0.890058 | + | 2.73932i | ||||
\(875\) | −6.70583 | + | 20.6384i | −0.226698 | + | 0.697706i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 4.38073 | + | 3.18279i | 0.147927 | + | 0.107475i | 0.659287 | − | 0.751891i | \(-0.270858\pi\) |
−0.511360 | + | 0.859366i | \(0.670858\pi\) | |||||||
\(878\) | 2.00123 | + | 6.15915i | 0.0675382 | + | 0.207861i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 1.11731 | + | 32.0954i | 0.0376646 | + | 1.08194i | ||||
\(881\) | −11.0961 | −0.373837 | −0.186918 | − | 0.982375i | \(-0.559850\pi\) | ||||
−0.186918 | + | 0.982375i | \(0.559850\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 41.6317 | + | 30.2472i | 1.40102 | + | 1.01790i | 0.994553 | + | 0.104234i | \(0.0332391\pi\) |
0.406466 | + | 0.913666i | \(0.366761\pi\) | |||||||
\(884\) | 59.7855 | − | 43.4367i | 2.01080 | − | 1.46093i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −28.2797 | + | 87.0358i | −0.950074 | + | 2.92403i | ||||
\(887\) | −16.1753 | + | 11.7520i | −0.543113 | + | 0.394595i | −0.825240 | − | 0.564782i | \(-0.808960\pi\) |
0.282127 | + | 0.959377i | \(0.408960\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −0.0555178 | − | 0.170866i | −0.00186201 | − | 0.00573066i | ||||
\(890\) | 23.4318 | 0.785435 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −51.5353 | −1.72553 | ||||||||
\(893\) | −8.76029 | − | 26.9614i | −0.293152 | − | 0.902229i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 82.4006 | − | 59.8675i | 2.75435 | − | 2.00115i | ||||
\(896\) | 6.40737 | − | 19.7199i | 0.214055 | − | 0.658794i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 43.9860 | − | 31.9577i | 1.46783 | − | 1.06644i | ||||
\(899\) | −10.4196 | − | 7.57025i | −0.347512 | − | 0.252482i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 40.4751 | 1.34842 | ||||||||
\(902\) | −12.7091 | + | 4.62417i | −0.423166 | + | 0.153968i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 10.3592 | + | 31.8824i | 0.344542 | + | 1.06039i | ||||
\(905\) | −68.2480 | − | 49.5851i | −2.26864 | − | 1.64826i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −1.61880 | + | 4.98215i | −0.0537514 | + | 0.165430i | −0.974328 | − | 0.225131i | \(-0.927719\pi\) |
0.920577 | + | 0.390561i | \(0.127719\pi\) | |||||||
\(908\) | 8.36294 | − | 25.7385i | 0.277534 | − | 0.854161i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −22.8741 | − | 16.6190i | −0.758270 | − | 0.550915i | ||||
\(911\) | 3.40325 | + | 10.4741i | 0.112755 | + | 0.347023i | 0.991472 | − | 0.130319i | \(-0.0416002\pi\) |
−0.878717 | + | 0.477342i | \(0.841600\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 9.62226 | − | 3.50104i | 0.318450 | − | 0.115867i | ||||
\(914\) | −3.76290 | −0.124466 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0.987457 | + | 0.717430i | 0.0326265 | + | 0.0237045i | ||||
\(917\) | −7.59045 | + | 5.51479i | −0.250659 | + | 0.182114i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −8.91382 | + | 27.4339i | −0.294040 | + | 0.904962i | 0.689502 | + | 0.724283i | \(0.257829\pi\) |
−0.983542 | + | 0.180678i | \(0.942171\pi\) | |||||||
\(920\) | −79.5588 | + | 57.8029i | −2.62298 | + | 1.90570i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 20.8081 | + | 64.0408i | 0.685279 | + | 2.10907i | ||||
\(923\) | 4.22747 | 0.139149 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −6.38848 | −0.210052 | ||||||||
\(926\) | −3.47104 | − | 10.6828i | −0.114065 | − | 0.351057i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 2.95545 | − | 2.14726i | 0.0970175 | − | 0.0704874i | ||||
\(929\) | −5.01250 | + | 15.4269i | −0.164455 | + | 0.506139i | −0.998996 | − | 0.0448064i | \(-0.985733\pi\) |
0.834541 | + | 0.550946i | \(0.185733\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 4.77571 | − | 3.46976i | 0.156518 | − | 0.113717i | ||||
\(932\) | 49.0358 | + | 35.6266i | 1.60622 | + | 1.16699i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 42.1660 | 1.37971 | ||||||||
\(935\) | 3.00136 | + | 86.2156i | 0.0981550 | + | 2.81955i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −8.48784 | − | 26.1229i | −0.277286 | − | 0.853397i | −0.988606 | − | 0.150529i | \(-0.951902\pi\) |
0.711320 | − | 0.702868i | \(-0.248098\pi\) | |||||||
\(938\) | −1.16151 | − | 0.843886i | −0.0379246 | − | 0.0275539i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 21.8061 | − | 67.1123i | 0.711236 | − | 2.18896i | ||||
\(941\) | −15.0560 | + | 46.3376i | −0.490812 | + | 1.51056i | 0.332572 | + | 0.943078i | \(0.392084\pi\) |
−0.823384 | + | 0.567485i | \(0.807916\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −8.30327 | − | 6.03268i | −0.270392 | − | 0.196451i | ||||
\(944\) | −4.74010 | − | 14.5885i | −0.154277 | − | 0.474816i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −14.3594 | + | 21.2837i | −0.466864 | + | 0.691993i | ||||
\(947\) | −21.1998 | −0.688902 | −0.344451 | − | 0.938804i | \(-0.611935\pi\) | ||||
−0.344451 | + | 0.938804i | \(0.611935\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 17.1979 | + | 12.4950i | 0.558266 | + | 0.405604i | ||||
\(950\) | 120.161 | − | 87.3021i | 3.89854 | − | 2.83245i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −8.45777 | + | 26.0303i | −0.274118 | + | 0.843648i | ||||
\(953\) | 27.6059 | − | 20.0569i | 0.894244 | − | 0.649707i | −0.0427369 | − | 0.999086i | \(-0.513608\pi\) |
0.936981 | + | 0.349380i | \(0.113608\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 4.55143 | + | 14.0079i | 0.147281 | + | 0.453283i | ||||
\(956\) | 108.204 | 3.49957 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 25.6322 | 0.828138 | ||||||||
\(959\) | 0.276143 | + | 0.849880i | 0.00891712 | + | 0.0274441i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −32.9467 | + | 23.9372i | −1.06280 | + | 0.772166i | ||||
\(962\) | 1.34850 | − | 4.15025i | 0.0434773 | − | 0.133810i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 88.5496 | − | 64.3351i | 2.85199 | − | 2.07209i | ||||
\(965\) | −19.3696 | − | 14.0728i | −0.623529 | − | 0.453020i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −18.8881 | −0.607400 | −0.303700 | − | 0.952768i | \(-0.598222\pi\) | ||||
−0.303700 | + | 0.952768i | \(0.598222\pi\) | |||||||
\(968\) | 34.9265 | − | 29.2939i | 1.12258 | − | 0.941541i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 7.43792 | + | 22.8916i | 0.238817 | + | 0.735004i | ||||
\(971\) | 10.1003 | + | 7.33830i | 0.324134 | + | 0.235497i | 0.737937 | − | 0.674869i | \(-0.235800\pi\) |
−0.413803 | + | 0.910366i | \(0.635800\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −0.655983 | + | 2.01891i | −0.0210299 | + | 0.0647233i | ||||
\(974\) | 28.6739 | − | 88.2491i | 0.918770 | − | 2.82768i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 4.15523 | + | 3.01895i | 0.133006 | + | 0.0966342i | ||||
\(977\) | 4.28751 | + | 13.1956i | 0.137170 | + | 0.422165i | 0.995921 | − | 0.0902274i | \(-0.0287594\pi\) |
−0.858752 | + | 0.512392i | \(0.828759\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −5.07409 | − | 6.49599i | −0.162169 | − | 0.207613i | ||||
\(980\) | 14.6940 | 0.469382 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −11.6217 | − | 8.44367i | −0.370864 | − | 0.269448i | ||||
\(983\) | 35.4613 | − | 25.7641i | 1.13104 | − | 0.821749i | 0.145194 | − | 0.989403i | \(-0.453619\pi\) |
0.985846 | + | 0.167655i | \(0.0536193\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −26.2212 | + | 80.7007i | −0.835478 | + | 2.57134i | ||||
\(986\) | −19.4526 | + | 14.1332i | −0.619498 | + | 0.450091i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 20.4106 | + | 62.8174i | 0.649348 | + | 1.99849i | ||||
\(989\) | −19.4843 | −0.619565 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 42.8926 | 1.36253 | 0.681264 | − | 0.732037i | \(-0.261430\pi\) | ||||
0.681264 | + | 0.732037i | \(0.261430\pi\) | |||||||
\(992\) | −6.28672 | − | 19.3485i | −0.199603 | − | 0.614316i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −2.73020 | + | 1.98361i | −0.0865967 | + | 0.0629162i | ||||
\(995\) | −18.1290 | + | 55.7954i | −0.574728 | + | 1.76883i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 22.8940 | − | 16.6335i | 0.725060 | − | 0.526787i | −0.162937 | − | 0.986637i | \(-0.552097\pi\) |
0.887997 | + | 0.459849i | \(0.152097\pi\) | |||||||
\(998\) | 56.1225 | + | 40.7754i | 1.77653 | + | 1.29072i | ||||
\(999\) | 0 | 0 |
(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 | 693.2.m.j.379.5 | 20 | ||
3.2 | odd | 2 | 231.2.j.g.148.1 | yes | 20 | ||
11.3 | even | 5 | 7623.2.a.cx.1.9 | 10 | |||
11.8 | odd | 10 | 7623.2.a.cy.1.2 | 10 | |||
11.9 | even | 5 | inner | 693.2.m.j.64.5 | 20 | ||
33.8 | even | 10 | 2541.2.a.br.1.9 | 10 | |||
33.14 | odd | 10 | 2541.2.a.bq.1.2 | 10 | |||
33.20 | odd | 10 | 231.2.j.g.64.1 | ✓ | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
231.2.j.g.64.1 | ✓ | 20 | 33.20 | odd | 10 | ||
231.2.j.g.148.1 | yes | 20 | 3.2 | odd | 2 | ||
693.2.m.j.64.5 | 20 | 11.9 | even | 5 | inner | ||
693.2.m.j.379.5 | 20 | 1.1 | even | 1 | trivial | ||
2541.2.a.bq.1.2 | 10 | 33.14 | odd | 10 | |||
2541.2.a.br.1.9 | 10 | 33.8 | even | 10 | |||
7623.2.a.cx.1.9 | 10 | 11.3 | even | 5 | |||
7623.2.a.cy.1.2 | 10 | 11.8 | odd | 10 |