Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [855,2,Mod(226,855)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(855, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("855.226");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 855 = 3^{2} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 855.bs (of order \(9\), degree \(6\), 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: | \(6.82720937282\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} + 12 x^{16} - 8 x^{15} + 96 x^{14} - 75 x^{13} + 448 x^{12} - 405 x^{11} + 1521 x^{10} - 1294 x^{9} + 3333 x^{8} - 2616 x^{7} + 5113 x^{6} - 3126 x^{5} + 4032 x^{4} + \cdots + 361 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 95) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 631.1 | ||
Root | \(1.01081 + 1.75077i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 855.631 |
Dual form | 855.2.bs.b.271.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/855\mathbb{Z}\right)^\times\).
\(n\) | \(172\) | \(191\) | \(496\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{1}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.89970 | − | 0.691434i | −1.34329 | − | 0.488918i | −0.432443 | − | 0.901661i | \(-0.642348\pi\) |
−0.910847 | + | 0.412743i | \(0.864571\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.59869 | + | 1.34146i | 0.799344 | + | 0.670730i | ||||
\(5\) | 0.766044 | − | 0.642788i | 0.342585 | − | 0.287463i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.54609 | + | 2.67790i | −0.584366 | + | 1.01215i | 0.410588 | + | 0.911821i | \(0.365324\pi\) |
−0.994954 | + | 0.100331i | \(0.968010\pi\) | |||||||
\(8\) | −0.0878797 | − | 0.152212i | −0.0310701 | − | 0.0538151i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.89970 | + | 0.691434i | −0.600738 | + | 0.218651i | ||||
\(11\) | 0.481594 | + | 0.834145i | 0.145206 | + | 0.251504i | 0.929450 | − | 0.368949i | \(-0.120282\pi\) |
−0.784244 | + | 0.620453i | \(0.786949\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.513859 | + | 2.91424i | −0.142519 | + | 0.808264i | 0.826807 | + | 0.562486i | \(0.190155\pi\) |
−0.969326 | + | 0.245779i | \(0.920956\pi\) | |||||||
\(14\) | 4.78870 | − | 4.01819i | 1.27983 | − | 1.07391i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.663086 | − | 3.76055i | −0.165772 | − | 0.940137i | ||||
\(17\) | 0.0366124 | + | 0.0133258i | 0.00887980 | + | 0.00323198i | 0.346456 | − | 0.938066i | \(-0.387385\pi\) |
−0.337576 | + | 0.941298i | \(0.609607\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −4.31788 | − | 0.596607i | −0.990589 | − | 0.136871i | ||||
\(20\) | 2.08694 | 0.466654 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.338127 | − | 1.91762i | −0.0720890 | − | 0.408837i | ||||
\(23\) | −2.97348 | − | 2.49504i | −0.620013 | − | 0.520253i | 0.277795 | − | 0.960641i | \(-0.410397\pi\) |
−0.897808 | + | 0.440388i | \(0.854841\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.173648 | − | 0.984808i | 0.0347296 | − | 0.196962i | ||||
\(26\) | 2.99118 | − | 5.18088i | 0.586619 | − | 1.01605i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −6.06401 | + | 2.20712i | −1.14599 | + | 0.417106i | ||||
\(29\) | −8.76529 | + | 3.19030i | −1.62767 | + | 0.592425i | −0.984822 | − | 0.173566i | \(-0.944471\pi\) |
−0.642851 | + | 0.765991i | \(0.722249\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.68894 | − | 8.12148i | 0.842158 | − | 1.45866i | −0.0459085 | − | 0.998946i | \(-0.514618\pi\) |
0.888067 | − | 0.459715i | \(-0.152048\pi\) | |||||||
\(32\) | −1.40155 | + | 7.94857i | −0.247761 | + | 1.40512i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.0603386 | − | 0.0506301i | −0.0103480 | − | 0.00868299i | ||||
\(35\) | 0.536951 | + | 3.04520i | 0.0907612 | + | 0.514733i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.11739 | −0.183698 | −0.0918491 | − | 0.995773i | \(-0.529278\pi\) | ||||
−0.0918491 | + | 0.995773i | \(0.529278\pi\) | |||||||
\(38\) | 7.79016 | + | 4.11890i | 1.26373 | + | 0.668174i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.165160 | − | 0.0601132i | −0.0261140 | − | 0.00950473i | ||||
\(41\) | −2.09674 | − | 11.8912i | −0.327456 | − | 1.85710i | −0.491818 | − | 0.870698i | \(-0.663668\pi\) |
0.164362 | − | 0.986400i | \(-0.447443\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.79459 | + | 3.18404i | −0.578669 | + | 0.485561i | −0.884510 | − | 0.466522i | \(-0.845507\pi\) |
0.305841 | + | 0.952083i | \(0.401062\pi\) | |||||||
\(44\) | −0.349053 | + | 1.97958i | −0.0526217 | + | 0.298432i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 3.92356 | + | 6.79580i | 0.578497 | + | 1.00199i | ||||
\(47\) | 7.53217 | − | 2.74148i | 1.09868 | − | 0.399887i | 0.271850 | − | 0.962340i | \(-0.412364\pi\) |
0.826829 | + | 0.562453i | \(0.190142\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.28078 | − | 2.21837i | −0.182968 | − | 0.316910i | ||||
\(50\) | −1.01081 | + | 1.75077i | −0.142950 | + | 0.247597i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −4.73083 | + | 3.96964i | −0.656048 | + | 0.550490i | ||||
\(53\) | −4.64208 | − | 3.89517i | −0.637639 | − | 0.535043i | 0.265653 | − | 0.964069i | \(-0.414412\pi\) |
−0.903292 | + | 0.429026i | \(0.858857\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.905101 | + | 0.329430i | 0.122044 | + | 0.0444203i | ||||
\(56\) | 0.543479 | 0.0726254 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 18.8573 | 2.47609 | ||||||||
\(59\) | 2.60732 | + | 0.948987i | 0.339444 | + | 0.123548i | 0.506117 | − | 0.862465i | \(-0.331080\pi\) |
−0.166673 | + | 0.986012i | \(0.553302\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −7.68360 | − | 6.44731i | −0.983784 | − | 0.825493i | 0.000871917 | − | 1.00000i | \(-0.499722\pi\) |
−0.984656 | + | 0.174507i | \(0.944167\pi\) | |||||||
\(62\) | −14.5230 | + | 12.1863i | −1.84443 | + | 1.54766i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 4.33987 | − | 7.51688i | 0.542484 | − | 0.939610i | ||||
\(65\) | 1.47960 | + | 2.56274i | 0.183522 | + | 0.317869i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −8.78501 | + | 3.19748i | −1.07326 | + | 0.390635i | −0.817395 | − | 0.576078i | \(-0.804582\pi\) |
−0.255865 | + | 0.966713i | \(0.582360\pi\) | |||||||
\(68\) | 0.0406557 | + | 0.0704178i | 0.00493023 | + | 0.00853941i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 1.08551 | − | 6.15623i | 0.129743 | − | 0.735810i | ||||
\(71\) | −9.64404 | + | 8.09231i | −1.14454 | + | 0.960381i | −0.999578 | − | 0.0290571i | \(-0.990750\pi\) |
−0.144959 | + | 0.989438i | \(0.546305\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 0.155782 | + | 0.883486i | 0.0182330 | + | 0.103404i | 0.992566 | − | 0.121707i | \(-0.0388367\pi\) |
−0.974333 | + | 0.225111i | \(0.927726\pi\) | |||||||
\(74\) | 2.12271 | + | 0.772603i | 0.246760 | + | 0.0898133i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −6.10262 | − | 6.74604i | −0.700018 | − | 0.773824i | ||||
\(77\) | −2.97835 | −0.339414 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.54415 | + | 8.75731i | 0.173731 | + | 0.985275i | 0.939599 | + | 0.342277i | \(0.111198\pi\) |
−0.765868 | + | 0.642997i | \(0.777691\pi\) | |||||||
\(80\) | −2.92519 | − | 2.45452i | −0.327046 | − | 0.274424i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −4.23882 | + | 24.0395i | −0.468099 | + | 2.65472i | ||||
\(83\) | −4.80224 | + | 8.31772i | −0.527114 | + | 0.912988i | 0.472387 | + | 0.881391i | \(0.343393\pi\) |
−0.999501 | + | 0.0315966i | \(0.989941\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.0366124 | − | 0.0133258i | 0.00397117 | − | 0.00144539i | ||||
\(86\) | 9.41012 | − | 3.42500i | 1.01472 | − | 0.369328i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.0846446 | − | 0.146609i | 0.00902315 | − | 0.0156285i | ||||
\(89\) | 1.51886 | − | 8.61386i | 0.160998 | − | 0.913068i | −0.792096 | − | 0.610396i | \(-0.791010\pi\) |
0.953095 | − | 0.302672i | \(-0.0978786\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −7.00958 | − | 5.88173i | −0.734803 | − | 0.616573i | ||||
\(92\) | −1.40667 | − | 7.97760i | −0.146655 | − | 0.831722i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −16.2044 | −1.67136 | ||||||||
\(95\) | −3.69118 | + | 2.31845i | −0.378707 | + | 0.237868i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −7.31855 | − | 2.66374i | −0.743087 | − | 0.270461i | −0.0573929 | − | 0.998352i | \(-0.518279\pi\) |
−0.685694 | + | 0.727890i | \(0.740501\pi\) | |||||||
\(98\) | 0.899233 | + | 5.09981i | 0.0908363 | + | 0.515158i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 1.59869 | − | 1.34146i | 0.159869 | − | 0.134146i | ||||
\(101\) | 0.528521 | − | 2.99739i | 0.0525898 | − | 0.298251i | −0.947157 | − | 0.320771i | \(-0.896058\pi\) |
0.999746 | + | 0.0225200i | \(0.00716895\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.164287 | + | 0.284553i | 0.0161876 | + | 0.0280378i | 0.874006 | − | 0.485916i | \(-0.161514\pi\) |
−0.857818 | + | 0.513953i | \(0.828180\pi\) | |||||||
\(104\) | 0.488740 | − | 0.177887i | 0.0479249 | − | 0.0174432i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 6.12531 | + | 10.6093i | 0.594943 | + | 1.03047i | ||||
\(107\) | −6.39366 | + | 11.0741i | −0.618099 | + | 1.07058i | 0.371734 | + | 0.928339i | \(0.378763\pi\) |
−0.989832 | + | 0.142239i | \(0.954570\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −11.6754 | + | 9.79682i | −1.11830 | + | 0.938366i | −0.998517 | − | 0.0544346i | \(-0.982664\pi\) |
−0.119783 | + | 0.992800i | \(0.538220\pi\) | |||||||
\(110\) | −1.49164 | − | 1.25163i | −0.142222 | − | 0.119339i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 11.0956 | + | 4.03846i | 1.04843 | + | 0.381598i | ||||
\(113\) | −2.56380 | −0.241182 | −0.120591 | − | 0.992702i | \(-0.538479\pi\) | ||||
−0.120591 | + | 0.992702i | \(0.538479\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −3.88160 | −0.361961 | ||||||||
\(116\) | −18.2926 | − | 6.65797i | −1.69843 | − | 0.618177i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −4.29697 | − | 3.60558i | −0.395568 | − | 0.331921i | ||||
\(119\) | −0.0922912 | + | 0.0774415i | −0.00846032 | + | 0.00709905i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.03613 | − | 8.72284i | 0.457830 | − | 0.792986i | ||||
\(122\) | 10.1386 | + | 17.5606i | 0.917910 | + | 1.58987i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 18.3908 | − | 6.69370i | 1.65154 | − | 0.601112i | ||||
\(125\) | −0.500000 | − | 0.866025i | −0.0447214 | − | 0.0774597i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −2.68740 | + | 15.2410i | −0.238468 | + | 1.35242i | 0.596718 | + | 0.802451i | \(0.296471\pi\) |
−0.835186 | + | 0.549968i | \(0.814640\pi\) | |||||||
\(128\) | −1.07610 | + | 0.902953i | −0.0951145 | + | 0.0798105i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −1.03883 | − | 5.89148i | −0.0911111 | − | 0.516717i | ||||
\(131\) | 0.791413 | + | 0.288051i | 0.0691461 | + | 0.0251671i | 0.376362 | − | 0.926473i | \(-0.377175\pi\) |
−0.307216 | + | 0.951640i | \(0.599397\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 8.27347 | − | 10.6404i | 0.717401 | − | 0.922644i | ||||
\(134\) | 18.8997 | 1.63269 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.00118913 | − | 0.00674391i | −0.000101967 | − | 0.000578285i | ||||
\(137\) | 3.88675 | + | 3.26137i | 0.332068 | + | 0.278638i | 0.793542 | − | 0.608516i | \(-0.208235\pi\) |
−0.461474 | + | 0.887154i | \(0.652679\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 0.474127 | − | 2.68891i | 0.0402150 | − | 0.228070i | −0.958076 | − | 0.286515i | \(-0.907503\pi\) |
0.998291 | + | 0.0584449i | \(0.0186142\pi\) | |||||||
\(140\) | −3.22659 | + | 5.58862i | −0.272697 | + | 0.472325i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 23.9161 | − | 8.70474i | 2.00699 | − | 0.730486i | ||||
\(143\) | −2.67837 | + | 0.974847i | −0.223977 | + | 0.0815208i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −4.66391 | + | 8.07814i | −0.387317 | + | 0.670853i | ||||
\(146\) | 0.314933 | − | 1.78607i | 0.0260640 | − | 0.147816i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −1.78636 | − | 1.49894i | −0.146838 | − | 0.123212i | ||||
\(149\) | 1.15401 | + | 6.54471i | 0.0945401 | + | 0.536164i | 0.994887 | + | 0.100991i | \(0.0322014\pi\) |
−0.900347 | + | 0.435172i | \(0.856687\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −5.19059 | −0.422404 | −0.211202 | − | 0.977442i | \(-0.567738\pi\) | ||||
−0.211202 | + | 0.977442i | \(0.567738\pi\) | |||||||
\(152\) | 0.288643 | + | 0.709662i | 0.0234120 | + | 0.0575612i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 5.65796 | + | 2.05933i | 0.455932 | + | 0.165946i | ||||
\(155\) | −1.62845 | − | 9.23540i | −0.130800 | − | 0.741806i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 8.92275 | − | 7.48708i | 0.712113 | − | 0.597534i | −0.213078 | − | 0.977035i | \(-0.568349\pi\) |
0.925191 | + | 0.379501i | \(0.123904\pi\) | |||||||
\(158\) | 3.12168 | − | 17.7039i | 0.248348 | − | 1.40845i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 4.03560 | + | 6.98986i | 0.319042 | + | 0.552597i | ||||
\(161\) | 11.2787 | − | 4.10513i | 0.888890 | − | 0.323529i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 0.278398 | + | 0.482199i | 0.0218058 | + | 0.0377688i | 0.876722 | − | 0.480997i | \(-0.159725\pi\) |
−0.854917 | + | 0.518765i | \(0.826392\pi\) | |||||||
\(164\) | 12.5996 | − | 21.8231i | 0.983860 | − | 1.70410i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 14.8740 | − | 12.4807i | 1.15444 | − | 0.968693i | ||||
\(167\) | −16.9727 | − | 14.2418i | −1.31339 | − | 1.10206i | −0.987662 | − | 0.156600i | \(-0.949947\pi\) |
−0.325727 | − | 0.945464i | \(-0.605609\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 3.98727 | + | 1.45125i | 0.306713 | + | 0.111634i | ||||
\(170\) | −0.0787664 | −0.00604111 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −10.3376 | −0.788236 | ||||||||
\(173\) | −10.7653 | − | 3.91823i | −0.818467 | − | 0.297898i | −0.101350 | − | 0.994851i | \(-0.532316\pi\) |
−0.717117 | + | 0.696953i | \(0.754539\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.36874 | + | 1.98761i | 0.179060 | + | 0.150249i | ||||
\(176\) | 2.81751 | − | 2.36417i | 0.212377 | − | 0.178206i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −8.84129 | + | 15.3136i | −0.662683 | + | 1.14780i | ||||
\(179\) | 2.98306 | + | 5.16681i | 0.222964 | + | 0.386185i | 0.955707 | − | 0.294321i | \(-0.0950934\pi\) |
−0.732743 | + | 0.680506i | \(0.761760\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 5.80527 | − | 2.11294i | 0.431502 | − | 0.157054i | −0.117132 | − | 0.993116i | \(-0.537370\pi\) |
0.548634 | + | 0.836062i | \(0.315148\pi\) | |||||||
\(182\) | 9.24926 | + | 16.0202i | 0.685601 | + | 1.18750i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.118468 | + | 0.671863i | −0.00873354 | + | 0.0495304i | ||||
\(185\) | −0.855972 | + | 0.718246i | −0.0629323 | + | 0.0528065i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.00651663 | + | 0.0369577i | 0.000476543 | + | 0.00270261i | ||||
\(188\) | 15.7192 | + | 5.72131i | 1.14644 | + | 0.417270i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 8.61518 | − | 1.85215i | 0.625011 | − | 0.134369i | ||||
\(191\) | 18.6639 | 1.35047 | 0.675235 | − | 0.737602i | \(-0.264042\pi\) | ||||
0.675235 | + | 0.737602i | \(0.264042\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −4.15136 | − | 23.5435i | −0.298821 | − | 1.69470i | −0.651252 | − | 0.758861i | \(-0.725756\pi\) |
0.352431 | − | 0.935838i | \(-0.385355\pi\) | |||||||
\(194\) | 12.0613 | + | 10.1206i | 0.865948 | + | 0.726616i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.928289 | − | 5.26459i | 0.0663064 | − | 0.376042i | ||||
\(197\) | −3.35076 | + | 5.80368i | −0.238732 | + | 0.413495i | −0.960351 | − | 0.278795i | \(-0.910065\pi\) |
0.721619 | + | 0.692290i | \(0.243398\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −2.96836 | + | 1.08040i | −0.210422 | + | 0.0765872i | −0.445080 | − | 0.895491i | \(-0.646825\pi\) |
0.234659 | + | 0.972078i | \(0.424603\pi\) | |||||||
\(200\) | −0.165160 | + | 0.0601132i | −0.0116786 | + | 0.00425065i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −3.07653 | + | 5.32870i | −0.216464 | + | 0.374926i | ||||
\(203\) | 5.00858 | − | 28.4051i | 0.351534 | − | 1.99365i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −9.24973 | − | 7.76145i | −0.646029 | − | 0.542083i | ||||
\(206\) | −0.115346 | − | 0.654158i | −0.00803652 | − | 0.0455774i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 11.2999 | 0.783505 | ||||||||
\(209\) | −1.58181 | − | 3.88906i | −0.109416 | − | 0.269012i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 10.7670 | + | 3.91887i | 0.741231 | + | 0.269786i | 0.684911 | − | 0.728627i | \(-0.259841\pi\) |
0.0563198 | + | 0.998413i | \(0.482063\pi\) | |||||||
\(212\) | −2.19603 | − | 12.4543i | −0.150824 | − | 0.855367i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 19.8031 | − | 16.6168i | 1.35371 | − | 1.13590i | ||||
\(215\) | −0.860163 | + | 4.87822i | −0.0586626 | + | 0.332692i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 14.4990 | + | 25.1130i | 0.984258 | + | 1.70478i | ||||
\(218\) | 28.9536 | − | 10.5383i | 1.96099 | − | 0.713741i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 1.00506 | + | 1.74081i | 0.0677610 | + | 0.117365i | ||||
\(221\) | −0.0576482 | + | 0.0998496i | −0.00387784 | + | 0.00671661i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −5.75623 | + | 4.83005i | −0.385465 | + | 0.323444i | −0.814844 | − | 0.579681i | \(-0.803177\pi\) |
0.429378 | + | 0.903125i | \(0.358733\pi\) | |||||||
\(224\) | −19.1186 | − | 16.0424i | −1.27741 | − | 1.07188i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 4.87044 | + | 1.77270i | 0.323977 | + | 0.117918i | ||||
\(227\) | 4.20184 | 0.278886 | 0.139443 | − | 0.990230i | \(-0.455469\pi\) | ||||
0.139443 | + | 0.990230i | \(0.455469\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 22.5758 | 1.49185 | 0.745927 | − | 0.666028i | \(-0.232007\pi\) | ||||
0.745927 | + | 0.666028i | \(0.232007\pi\) | |||||||
\(230\) | 7.37388 | + | 2.68387i | 0.486219 | + | 0.176969i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 1.25589 | + | 1.05382i | 0.0824534 | + | 0.0691867i | ||||
\(233\) | 8.41032 | − | 7.05710i | 0.550978 | − | 0.462326i | −0.324294 | − | 0.945956i | \(-0.605127\pi\) |
0.875272 | + | 0.483631i | \(0.160682\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 4.00778 | − | 6.94168i | 0.261439 | − | 0.452826i | ||||
\(236\) | 2.89527 | + | 5.01475i | 0.188466 | + | 0.326432i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.228871 | − | 0.0833023i | 0.0148355 | − | 0.00539969i | ||||
\(239\) | −1.36280 | − | 2.36043i | −0.0881520 | − | 0.152684i | 0.818578 | − | 0.574395i | \(-0.194763\pi\) |
−0.906730 | + | 0.421712i | \(0.861429\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 1.93687 | − | 10.9846i | 0.124765 | − | 0.707577i | −0.856682 | − | 0.515845i | \(-0.827478\pi\) |
0.981447 | − | 0.191733i | \(-0.0614107\pi\) | |||||||
\(242\) | −15.5984 | + | 13.0886i | −1.00270 | + | 0.841369i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −3.63489 | − | 20.6145i | −0.232700 | − | 1.31971i | ||||
\(245\) | −2.40707 | − | 0.876102i | −0.153782 | − | 0.0559721i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 3.95743 | − | 12.2768i | 0.251805 | − | 0.781151i | ||||
\(248\) | −1.64825 | −0.104664 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0.351050 | + | 1.99091i | 0.0222024 | + | 0.125916i | ||||
\(251\) | 20.9654 | + | 17.5920i | 1.32332 | + | 1.11040i | 0.985589 | + | 0.169156i | \(0.0541042\pi\) |
0.337732 | + | 0.941242i | \(0.390340\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.649220 | − | 3.68191i | 0.0408161 | − | 0.231480i | ||||
\(254\) | 15.6434 | − | 27.0951i | 0.981553 | − | 1.70010i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −13.6440 | + | 4.96601i | −0.852749 | + | 0.310375i | ||||
\(257\) | −19.0408 | + | 6.93029i | −1.18773 | + | 0.432300i | −0.858927 | − | 0.512098i | \(-0.828869\pi\) |
−0.328806 | + | 0.944397i | \(0.606646\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.72759 | − | 2.99227i | 0.107347 | − | 0.185931i | ||||
\(260\) | −1.07239 | + | 6.08184i | −0.0665070 | + | 0.377180i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −1.30428 | − | 1.09442i | −0.0805786 | − | 0.0676135i | ||||
\(263\) | −1.66049 | − | 9.41708i | −0.102390 | − | 0.580682i | −0.992231 | − | 0.124411i | \(-0.960296\pi\) |
0.889841 | − | 0.456271i | \(-0.150815\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −6.05981 | −0.372251 | ||||||||
\(266\) | −23.0743 | + | 14.4931i | −1.41477 | + | 0.888629i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −18.3338 | − | 6.67295i | −1.11991 | − | 0.407615i | ||||
\(269\) | −0.794363 | − | 4.50506i | −0.0484332 | − | 0.274678i | 0.950968 | − | 0.309290i | \(-0.100091\pi\) |
−0.999401 | + | 0.0346123i | \(0.988980\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −16.9571 | + | 14.2287i | −1.03007 | + | 0.864330i | −0.990859 | − | 0.134901i | \(-0.956928\pi\) |
−0.0392098 | + | 0.999231i | \(0.512484\pi\) | |||||||
\(272\) | 0.0258352 | − | 0.146519i | 0.00156649 | − | 0.00888400i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −5.12864 | − | 8.88306i | −0.309832 | − | 0.536645i | ||||
\(275\) | 0.905101 | − | 0.329430i | 0.0545796 | − | 0.0198654i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −11.7771 | − | 20.3985i | −0.707617 | − | 1.22563i | −0.965739 | − | 0.259516i | \(-0.916437\pi\) |
0.258122 | − | 0.966112i | \(-0.416896\pi\) | |||||||
\(278\) | −2.75990 | + | 4.78029i | −0.165528 | + | 0.286703i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.416329 | − | 0.349341i | 0.0248804 | − | 0.0208771i | ||||
\(281\) | −7.90783 | − | 6.63545i | −0.471741 | − | 0.395838i | 0.375688 | − | 0.926746i | \(-0.377406\pi\) |
−0.847429 | + | 0.530908i | \(0.821851\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 29.0110 | + | 10.5592i | 1.72453 | + | 0.627676i | 0.998217 | − | 0.0596910i | \(-0.0190115\pi\) |
0.726310 | + | 0.687367i | \(0.241234\pi\) | |||||||
\(284\) | −26.2733 | −1.55903 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 5.76214 | 0.340722 | ||||||||
\(287\) | 35.0853 | + | 12.7700i | 2.07102 | + | 0.753790i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −13.0216 | − | 10.9264i | −0.765976 | − | 0.642730i | ||||
\(290\) | 14.4455 | − | 12.1212i | 0.848271 | − | 0.711784i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −0.936113 | + | 1.62140i | −0.0547819 | + | 0.0948850i | ||||
\(293\) | 3.18052 | + | 5.50882i | 0.185808 | + | 0.321828i | 0.943848 | − | 0.330379i | \(-0.107176\pi\) |
−0.758041 | + | 0.652207i | \(0.773843\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.60732 | − | 0.948987i | 0.151804 | − | 0.0552522i | ||||
\(296\) | 0.0981961 | + | 0.170081i | 0.00570753 | + | 0.00988573i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 2.33297 | − | 13.2309i | 0.135145 | − | 0.766446i | ||||
\(299\) | 8.79910 | − | 7.38332i | 0.508865 | − | 0.426989i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2.65977 | − | 15.0843i | −0.153307 | − | 0.869446i | ||||
\(302\) | 9.86055 | + | 3.58895i | 0.567411 | + | 0.206521i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0.619557 | + | 16.6332i | 0.0355340 | + | 0.953979i | ||||
\(305\) | −10.0302 | −0.574329 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −1.02217 | − | 5.79702i | −0.0583384 | − | 0.330854i | 0.941645 | − | 0.336608i | \(-0.109280\pi\) |
−0.999983 | + | 0.00575393i | \(0.998168\pi\) | |||||||
\(308\) | −4.76145 | − | 3.99533i | −0.271309 | − | 0.227655i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −3.29211 | + | 18.6705i | −0.186979 | + | 1.06041i | ||||
\(311\) | −12.6942 | + | 21.9871i | −0.719825 | + | 1.24677i | 0.241245 | + | 0.970464i | \(0.422444\pi\) |
−0.961069 | + | 0.276308i | \(0.910889\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −5.67434 | + | 2.06529i | −0.320733 | + | 0.116737i | −0.497369 | − | 0.867539i | \(-0.665701\pi\) |
0.176637 | + | 0.984276i | \(0.443478\pi\) | |||||||
\(314\) | −22.1274 | + | 8.05371i | −1.24872 | + | 0.454497i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −9.27896 | + | 16.0716i | −0.521982 | + | 0.904100i | ||||
\(317\) | −2.75679 | + | 15.6346i | −0.154837 | + | 0.878124i | 0.804098 | + | 0.594497i | \(0.202649\pi\) |
−0.958935 | + | 0.283627i | \(0.908462\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −6.88249 | − | 5.77509i | −0.385345 | − | 0.323343i | ||||
\(320\) | −1.50722 | − | 8.54788i | −0.0842563 | − | 0.477841i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −24.2647 | −1.35222 | ||||||||
\(323\) | −0.150137 | − | 0.0793824i | −0.00835387 | − | 0.00441695i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 2.78073 | + | 1.01210i | 0.154247 | + | 0.0561415i | ||||
\(326\) | −0.195463 | − | 1.10853i | −0.0108257 | − | 0.0613956i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −1.62573 | + | 1.36415i | −0.0897657 | + | 0.0753224i | ||||
\(329\) | −4.30396 | + | 24.4090i | −0.237285 | + | 1.34571i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 7.08478 | + | 12.2712i | 0.389414 | + | 0.674486i | 0.992371 | − | 0.123288i | \(-0.0393440\pi\) |
−0.602956 | + | 0.797774i | \(0.706011\pi\) | |||||||
\(332\) | −18.8352 | + | 6.85544i | −1.03371 | + | 0.376241i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 22.3958 | + | 38.7907i | 1.22544 | + | 2.12253i | ||||
\(335\) | −4.67441 | + | 8.09631i | −0.255390 | + | 0.442349i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1.64694 | + | 1.38195i | −0.0897147 | + | 0.0752796i | −0.686542 | − | 0.727090i | \(-0.740872\pi\) |
0.596827 | + | 0.802370i | \(0.296428\pi\) | |||||||
\(338\) | −6.57117 | − | 5.51387i | −0.357425 | − | 0.299915i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0.0764078 | + | 0.0278102i | 0.00414380 | + | 0.00150822i | ||||
\(341\) | 9.03266 | 0.489146 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −13.7245 | −0.741051 | ||||||||
\(344\) | 0.818115 | + | 0.297770i | 0.0441098 | + | 0.0160547i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 17.7415 | + | 14.8869i | 0.953791 | + | 0.800326i | ||||
\(347\) | 8.46670 | − | 7.10441i | 0.454516 | − | 0.381385i | −0.386592 | − | 0.922251i | \(-0.626348\pi\) |
0.841109 | + | 0.540866i | \(0.181903\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −17.6725 | + | 30.6097i | −0.945989 | + | 1.63850i | −0.192229 | + | 0.981350i | \(0.561572\pi\) |
−0.753759 | + | 0.657151i | \(0.771762\pi\) | |||||||
\(350\) | −3.12560 | − | 5.41370i | −0.167070 | − | 0.289374i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −7.30524 | + | 2.65889i | −0.389371 | + | 0.141719i | ||||
\(353\) | 11.0952 | + | 19.2174i | 0.590538 | + | 1.02284i | 0.994160 | + | 0.107916i | \(0.0344176\pi\) |
−0.403622 | + | 0.914926i | \(0.632249\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −2.18613 | + | 12.3981i | −0.116028 | + | 0.658025i | ||||
\(356\) | 13.9833 | − | 11.7334i | 0.741115 | − | 0.621869i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −2.09441 | − | 11.8780i | −0.110693 | − | 0.627770i | ||||
\(359\) | −8.93517 | − | 3.25214i | −0.471580 | − | 0.171641i | 0.0952879 | − | 0.995450i | \(-0.469623\pi\) |
−0.566868 | + | 0.823809i | \(0.691845\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 18.2881 | + | 5.15215i | 0.962533 | + | 0.271166i | ||||
\(362\) | −12.4892 | −0.656419 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −3.31603 | − | 18.8061i | −0.173807 | − | 0.985709i | ||||
\(365\) | 0.687230 | + | 0.576655i | 0.0359713 | + | 0.0301835i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −0.379110 | + | 2.15004i | −0.0197894 | + | 0.112231i | −0.993102 | − | 0.117250i | \(-0.962592\pi\) |
0.973313 | + | 0.229482i | \(0.0737031\pi\) | |||||||
\(368\) | −7.41107 | + | 12.8363i | −0.386328 | + | 0.669141i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 2.12271 | − | 0.772603i | 0.110354 | − | 0.0401657i | ||||
\(371\) | 17.6079 | − | 6.40877i | 0.914159 | − | 0.332727i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 6.17035 | − | 10.6874i | 0.319488 | − | 0.553370i | −0.660893 | − | 0.750480i | \(-0.729822\pi\) |
0.980381 | + | 0.197110i | \(0.0631556\pi\) | |||||||
\(374\) | 0.0131741 | − | 0.0747143i | 0.000681219 | − | 0.00386338i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −1.07921 | − | 0.905566i | −0.0556561 | − | 0.0467010i | ||||
\(377\) | −4.79319 | − | 27.1835i | −0.246862 | − | 1.40002i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −18.5014 | −0.950352 | −0.475176 | − | 0.879891i | \(-0.657616\pi\) | ||||
−0.475176 | + | 0.879891i | \(0.657616\pi\) | |||||||
\(380\) | −9.01115 | − | 1.24508i | −0.462262 | − | 0.0638714i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −35.4558 | − | 12.9048i | −1.81407 | − | 0.660269i | ||||
\(383\) | 1.98517 | + | 11.2585i | 0.101438 | + | 0.575282i | 0.992584 | + | 0.121565i | \(0.0387912\pi\) |
−0.891146 | + | 0.453717i | \(0.850098\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −2.28155 | + | 1.91444i | −0.116278 | + | 0.0975691i | ||||
\(386\) | −8.39246 | + | 47.5960i | −0.427165 | + | 2.42257i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −8.12680 | − | 14.0760i | −0.412576 | − | 0.714602i | ||||
\(389\) | 11.7685 | − | 4.28337i | 0.596684 | − | 0.217175i | −0.0259826 | − | 0.999662i | \(-0.508271\pi\) |
0.622667 | + | 0.782487i | \(0.286049\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.0756176 | − | 0.130974i | −0.00382415 | − | 0.00662361i | ||||
\(392\) | −0.225108 | + | 0.389899i | −0.0113697 | + | 0.0196929i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 10.3783 | − | 8.70843i | 0.522851 | − | 0.438724i | ||||
\(395\) | 6.81198 | + | 5.71593i | 0.342748 | + | 0.287600i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −11.0417 | − | 4.01886i | −0.554168 | − | 0.201701i | 0.0497292 | − | 0.998763i | \(-0.484164\pi\) |
−0.603898 | + | 0.797062i | \(0.706386\pi\) | |||||||
\(398\) | 6.38602 | 0.320102 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −3.81856 | −0.190928 | ||||||||
\(401\) | −13.7588 | − | 5.00780i | −0.687083 | − | 0.250078i | −0.0251970 | − | 0.999683i | \(-0.508021\pi\) |
−0.661886 | + | 0.749605i | \(0.730244\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 21.2585 | + | 17.8380i | 1.05896 | + | 0.888573i | ||||
\(404\) | 4.86582 | − | 4.08290i | 0.242083 | − | 0.203132i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −29.1551 | + | 50.4980i | −1.44694 | + | 2.50618i | ||||
\(407\) | −0.538130 | − | 0.932068i | −0.0266741 | − | 0.0462009i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −11.9790 | + | 4.36001i | −0.592324 | + | 0.215588i | −0.620751 | − | 0.784007i | \(-0.713172\pi\) |
0.0284271 | + | 0.999596i | \(0.490950\pi\) | |||||||
\(410\) | 12.2052 | + | 21.1400i | 0.602771 | + | 1.04403i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −0.119073 | + | 0.675295i | −0.00586630 | + | 0.0332694i | ||||
\(413\) | −6.57244 | + | 5.51494i | −0.323409 | + | 0.271372i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 1.66780 | + | 9.45856i | 0.0818690 | + | 0.464302i | ||||
\(416\) | −22.4438 | − | 8.16889i | −1.10040 | − | 0.400513i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.315930 | + | 8.48176i | 0.0154527 | + | 0.414856i | ||||
\(419\) | −2.84601 | −0.139037 | −0.0695184 | − | 0.997581i | \(-0.522146\pi\) | ||||
−0.0695184 | + | 0.997581i | \(0.522146\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 1.93626 | + | 10.9811i | 0.0943677 | + | 0.535186i | 0.994939 | + | 0.100478i | \(0.0320372\pi\) |
−0.900572 | + | 0.434708i | \(0.856852\pi\) | |||||||
\(422\) | −17.7444 | − | 14.8893i | −0.863785 | − | 0.724802i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −0.184947 | + | 1.04889i | −0.00898182 | + | 0.0509384i | ||||
\(425\) | 0.0194810 | − | 0.0337421i | 0.000944969 | − | 0.00163673i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 29.1448 | − | 10.6078i | 1.41041 | − | 0.513349i | ||||
\(428\) | −25.0770 | + | 9.12728i | −1.21214 | + | 0.441184i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 5.00702 | − | 8.67242i | 0.241460 | − | 0.418221i | ||||
\(431\) | 2.59366 | − | 14.7094i | 0.124932 | − | 0.708525i | −0.856416 | − | 0.516286i | \(-0.827314\pi\) |
0.981348 | − | 0.192239i | \(-0.0615747\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −29.6894 | − | 24.9123i | −1.42678 | − | 1.19721i | −0.947585 | − | 0.319503i | \(-0.896484\pi\) |
−0.479195 | − | 0.877708i | \(-0.659071\pi\) | |||||||
\(434\) | −10.1798 | − | 57.7323i | −0.488645 | − | 2.77124i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −31.8074 | −1.52330 | ||||||||
\(437\) | 11.3506 | + | 12.5473i | 0.542971 | + | 0.600218i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 29.5331 | + | 10.7492i | 1.40954 | + | 0.513030i | 0.930994 | − | 0.365034i | \(-0.118943\pi\) |
0.478544 | + | 0.878064i | \(0.341165\pi\) | |||||||
\(440\) | −0.0293968 | − | 0.166717i | −0.00140144 | − | 0.00794794i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.178554 | − | 0.149824i | 0.00849293 | − | 0.00712641i | ||||
\(443\) | −1.84950 | + | 10.4890i | −0.0878722 | + | 0.498348i | 0.908828 | + | 0.417172i | \(0.136979\pi\) |
−0.996700 | + | 0.0811761i | \(0.974132\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −4.37337 | − | 7.57490i | −0.207318 | − | 0.359085i | ||||
\(446\) | 14.2748 | − | 5.19559i | 0.675930 | − | 0.246018i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 13.4196 | + | 23.2435i | 0.634019 | + | 1.09815i | ||||
\(449\) | 2.05200 | − | 3.55417i | 0.0968399 | − | 0.167732i | −0.813535 | − | 0.581516i | \(-0.802460\pi\) |
0.910375 | + | 0.413784i | \(0.135793\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 8.90923 | − | 7.47573i | 0.419519 | − | 0.352019i | ||||
\(452\) | −4.09871 | − | 3.43923i | −0.192787 | − | 0.161768i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −7.98224 | − | 2.90530i | −0.374625 | − | 0.136352i | ||||
\(455\) | −9.15035 | −0.428975 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 9.25947 | 0.433140 | 0.216570 | − | 0.976267i | \(-0.430513\pi\) | ||||
0.216570 | + | 0.976267i | \(0.430513\pi\) | |||||||
\(458\) | −42.8873 | − | 15.6097i | −2.00399 | − | 0.729394i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −6.20547 | − | 5.20701i | −0.289332 | − | 0.242778i | ||||
\(461\) | −5.09121 | + | 4.27203i | −0.237121 | + | 0.198968i | −0.753603 | − | 0.657330i | \(-0.771686\pi\) |
0.516482 | + | 0.856298i | \(0.327241\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −11.1474 | + | 19.3079i | −0.518064 | + | 0.897313i | 0.481716 | + | 0.876327i | \(0.340014\pi\) |
−0.999780 | + | 0.0209853i | \(0.993320\pi\) | |||||||
\(464\) | 17.8094 | + | 30.8469i | 0.826783 | + | 1.43203i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −20.8566 | + | 7.59118i | −0.966163 | + | 0.351655i | ||||
\(467\) | −7.73697 | − | 13.4008i | −0.358024 | − | 0.620116i | 0.629606 | − | 0.776914i | \(-0.283216\pi\) |
−0.987631 | + | 0.156798i | \(0.949883\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 5.01985 | − | 28.4690i | 0.231795 | − | 1.31458i | ||||
\(470\) | −12.4133 | + | 10.4160i | −0.572583 | + | 0.480454i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −0.0846832 | − | 0.480262i | −0.00389786 | − | 0.0221059i | ||||
\(473\) | −4.48340 | − | 1.63182i | −0.206147 | − | 0.0750313i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1.33733 | + | 4.14868i | −0.0613611 | + | 0.190354i | ||||
\(476\) | −0.251429 | −0.0115242 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0.956820 | + | 5.42640i | 0.0437639 | + | 0.248198i | ||||
\(479\) | −24.6710 | − | 20.7014i | −1.12725 | − | 0.945872i | −0.128299 | − | 0.991736i | \(-0.540952\pi\) |
−0.998948 | + | 0.0458635i | \(0.985396\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.574182 | − | 3.25635i | 0.0261805 | − | 0.148477i | ||||
\(482\) | −11.2746 | + | 19.5281i | −0.513543 | + | 0.889482i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 19.7525 | − | 7.18934i | 0.897843 | − | 0.326788i | ||||
\(485\) | −7.31855 | + | 2.66374i | −0.332318 | + | 0.120954i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 1.82569 | − | 3.16219i | 0.0827301 | − | 0.143293i | −0.821692 | − | 0.569932i | \(-0.806969\pi\) |
0.904422 | + | 0.426640i | \(0.140303\pi\) | |||||||
\(488\) | −0.306125 | + | 1.73612i | −0.0138576 | + | 0.0785906i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 3.96694 | + | 3.32866i | 0.179208 | + | 0.150374i | ||||
\(491\) | −0.789859 | − | 4.47952i | −0.0356459 | − | 0.202158i | 0.961784 | − | 0.273810i | \(-0.0882839\pi\) |
−0.997430 | + | 0.0716523i | \(0.977173\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.363431 | −0.0163681 | ||||||||
\(494\) | −16.0065 | + | 20.5858i | −0.720166 | + | 0.926201i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −33.6504 | − | 12.2477i | −1.51095 | − | 0.549940i | ||||
\(497\) | −6.75989 | − | 38.3372i | −0.303222 | − | 1.71966i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −16.7177 | + | 14.0278i | −0.748387 | + | 0.627972i | −0.935076 | − | 0.354448i | \(-0.884669\pi\) |
0.186689 | + | 0.982419i | \(0.440224\pi\) | |||||||
\(500\) | 0.362393 | − | 2.05523i | 0.0162067 | − | 0.0919129i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −27.6641 | − | 47.9157i | −1.23471 | − | 2.13858i | ||||
\(503\) | −23.2469 | + | 8.46117i | −1.03653 | + | 0.377265i | −0.803562 | − | 0.595221i | \(-0.797065\pi\) |
−0.232964 | + | 0.972485i | \(0.574842\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −1.52181 | − | 2.63586i | −0.0677199 | − | 0.117294i | ||||
\(506\) | −3.77912 | + | 6.54563i | −0.168003 | + | 0.290989i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −24.7415 | + | 20.7606i | −1.09773 | + | 0.921101i | ||||
\(509\) | 13.2902 | + | 11.1518i | 0.589078 | + | 0.494295i | 0.887914 | − | 0.460009i | \(-0.152154\pi\) |
−0.298836 | + | 0.954305i | \(0.596598\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −2.60674 | − | 0.948777i | −0.115316 | − | 0.0419714i | ||||
\(512\) | 32.1626 | 1.42140 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 40.9637 | 1.80683 | ||||||||
\(515\) | 0.308758 | + | 0.112379i | 0.0136055 | + | 0.00495200i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 5.91424 | + | 4.96264i | 0.260108 | + | 0.218257i | ||||
\(518\) | −5.35085 | + | 4.48990i | −0.235103 | + | 0.197275i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.260053 | − | 0.450425i | 0.0114041 | − | 0.0197524i | ||||
\(521\) | 0.228337 | + | 0.395492i | 0.0100036 | + | 0.0173268i | 0.870984 | − | 0.491312i | \(-0.163482\pi\) |
−0.860980 | + | 0.508638i | \(0.830149\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 35.5171 | − | 12.9272i | 1.55305 | − | 0.565265i | 0.583922 | − | 0.811810i | \(-0.301517\pi\) |
0.969132 | + | 0.246544i | \(0.0792951\pi\) | |||||||
\(524\) | 0.878815 | + | 1.52215i | 0.0383912 | + | 0.0664955i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −3.35687 | + | 19.0377i | −0.146366 | + | 0.830085i | ||||
\(527\) | 0.279898 | − | 0.234863i | 0.0121926 | − | 0.0102308i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −1.37758 | − | 7.81265i | −0.0598949 | − | 0.339681i | ||||
\(530\) | 11.5118 | + | 4.18996i | 0.500041 | + | 0.182000i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 27.5004 | − | 5.91224i | 1.19229 | − | 0.256328i | ||||
\(533\) | 35.7313 | 1.54769 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 2.22050 | + | 12.5931i | 0.0960004 | + | 0.544445i | ||||
\(536\) | 1.25872 | + | 1.05619i | 0.0543684 | + | 0.0456205i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −1.60590 | + | 9.10750i | −0.0692352 | + | 0.392652i | ||||
\(539\) | 1.23363 | − | 2.13671i | 0.0531361 | − | 0.0920344i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 19.8556 | − | 7.22684i | 0.853658 | − | 0.310706i | 0.122127 | − | 0.992514i | \(-0.461028\pi\) |
0.731531 | + | 0.681808i | \(0.238806\pi\) | |||||||
\(542\) | 42.0515 | − | 15.3055i | 1.80627 | − | 0.657428i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −0.157235 | + | 0.272339i | −0.00674140 | + | 0.0116765i | ||||
\(545\) | −2.64660 | + | 15.0096i | −0.113368 | + | 0.642941i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −9.60806 | − | 8.06212i | −0.410811 | − | 0.344711i | 0.413843 | − | 0.910348i | \(-0.364186\pi\) |
−0.824655 | + | 0.565637i | \(0.808631\pi\) | |||||||
\(548\) | 1.83871 | + | 10.4278i | 0.0785458 | + | 0.445455i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −1.94720 | −0.0830288 | ||||||||
\(551\) | 39.7508 | − | 8.54591i | 1.69344 | − | 0.364068i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −25.8386 | − | 9.40449i | −1.09877 | − | 0.399920i | ||||
\(554\) | 8.26870 | + | 46.8941i | 0.351303 | + | 1.99234i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 4.36504 | − | 3.66271i | 0.185119 | − | 0.155333i | ||||
\(557\) | 5.56111 | − | 31.5386i | 0.235632 | − | 1.33633i | −0.605647 | − | 0.795733i | \(-0.707086\pi\) |
0.841279 | − | 0.540601i | \(-0.181803\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −7.32916 | − | 12.6945i | −0.309990 | − | 0.536919i | ||||
\(560\) | 11.0956 | − | 4.03846i | 0.468874 | − | 0.170656i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 10.4345 | + | 18.0731i | 0.440153 | + | 0.762368i | ||||
\(563\) | 9.79034 | − | 16.9574i | 0.412614 | − | 0.714668i | −0.582561 | − | 0.812787i | \(-0.697949\pi\) |
0.995175 | + | 0.0981190i | \(0.0312826\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1.96398 | + | 1.64798i | −0.0826254 | + | 0.0693309i | ||||
\(566\) | −47.8113 | − | 40.1184i | −2.00966 | − | 1.68630i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 2.07926 | + | 0.756789i | 0.0872439 | + | 0.0317542i | ||||
\(569\) | 18.6525 | 0.781953 | 0.390977 | − | 0.920401i | \(-0.372137\pi\) | ||||
0.390977 | + | 0.920401i | \(0.372137\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −0.460181 | −0.0192580 | −0.00962899 | − | 0.999954i | \(-0.503065\pi\) | ||||
−0.00962899 | + | 0.999954i | \(0.503065\pi\) | |||||||
\(572\) | −5.58960 | − | 2.03445i | −0.233713 | − | 0.0850645i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −57.8219 | − | 48.5184i | −2.41344 | − | 2.02512i | ||||
\(575\) | −2.97348 | + | 2.49504i | −0.124003 | + | 0.104051i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −5.87392 | + | 10.1739i | −0.244534 | + | 0.423546i | −0.962001 | − | 0.273047i | \(-0.911968\pi\) |
0.717466 | + | 0.696593i | \(0.245302\pi\) | |||||||
\(578\) | 17.1822 | + | 29.7605i | 0.714686 | + | 1.23787i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −18.2926 | + | 6.65797i | −0.759560 | + | 0.276457i | ||||
\(581\) | −14.8494 | − | 25.7198i | −0.616055 | − | 1.06704i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 1.01354 | − | 5.74806i | 0.0419765 | − | 0.238060i | ||||
\(584\) | 0.120787 | − | 0.101352i | 0.00499821 | − | 0.00419399i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −2.23304 | − | 12.6642i | −0.0922461 | − | 0.523154i | ||||
\(587\) | −4.60486 | − | 1.67603i | −0.190063 | − | 0.0691773i | 0.245235 | − | 0.969464i | \(-0.421135\pi\) |
−0.435298 | + | 0.900286i | \(0.643357\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −25.0916 | + | 32.2701i | −1.03388 | + | 1.32967i | ||||
\(590\) | −5.60929 | −0.230931 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0.740928 | + | 4.20201i | 0.0304519 | + | 0.172702i | ||||
\(593\) | 14.1700 | + | 11.8900i | 0.581892 | + | 0.488265i | 0.885568 | − | 0.464510i | \(-0.153770\pi\) |
−0.303676 | + | 0.952775i | \(0.598214\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.0209207 | + | 0.118647i | −0.000857665 | + | 0.00486406i | ||||
\(596\) | −6.93456 | + | 12.0110i | −0.284051 | + | 0.491990i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −21.8207 | + | 7.94210i | −0.892316 | + | 0.324777i | ||||
\(599\) | −20.1336 | + | 7.32805i | −0.822638 | + | 0.299416i | −0.718834 | − | 0.695182i | \(-0.755324\pi\) |
−0.103804 | + | 0.994598i | \(0.533102\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −15.0195 | + | 26.0146i | −0.612659 | + | 1.06116i | 0.378132 | + | 0.925752i | \(0.376567\pi\) |
−0.990790 | + | 0.135404i | \(0.956767\pi\) | |||||||
\(602\) | −5.37705 | + | 30.4948i | −0.219152 | + | 1.24287i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −8.29813 | − | 6.96296i | −0.337646 | − | 0.283319i | ||||
\(605\) | −1.74903 | − | 9.91925i | −0.0711082 | − | 0.403275i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 29.3882 | 1.19283 | 0.596415 | − | 0.802676i | \(-0.296591\pi\) | ||||
0.596415 | + | 0.802676i | \(0.296591\pi\) | |||||||
\(608\) | 10.7939 | − | 33.4848i | 0.437750 | − | 1.35799i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 19.0544 | + | 6.93524i | 0.771491 | + | 0.280800i | ||||
\(611\) | 4.11887 | + | 23.3593i | 0.166632 | + | 0.945015i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −4.22183 | + | 3.54254i | −0.170518 | + | 0.143082i | −0.724053 | − | 0.689744i | \(-0.757723\pi\) |
0.553535 | + | 0.832826i | \(0.313279\pi\) | |||||||
\(614\) | −2.06644 | + | 11.7194i | −0.0833948 | + | 0.472955i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.261736 | + | 0.453340i | 0.0105456 | + | 0.0182656i | ||||
\(617\) | 43.1381 | − | 15.7010i | 1.73667 | − | 0.632098i | 0.737606 | − | 0.675232i | \(-0.235956\pi\) |
0.999069 | + | 0.0431340i | \(0.0137342\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 0.239303 | + | 0.414484i | 0.00961839 | + | 0.0166595i | 0.870795 | − | 0.491647i | \(-0.163605\pi\) |
−0.861176 | + | 0.508307i | \(0.830272\pi\) | |||||||
\(620\) | 9.78553 | − | 16.9490i | 0.392996 | − | 0.680690i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 39.3179 | − | 32.9916i | 1.57650 | − | 1.32284i | ||||
\(623\) | 20.7188 | + | 17.3851i | 0.830081 | + | 0.696521i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.939693 | − | 0.342020i | −0.0375877 | − | 0.0136808i | ||||
\(626\) | 12.2075 | 0.487912 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 24.3083 | 0.970008 | ||||||||
\(629\) | −0.0409104 | − | 0.0148902i | −0.00163120 | − | 0.000593710i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 12.9110 | + | 10.8336i | 0.513980 | + | 0.431281i | 0.862527 | − | 0.506011i | \(-0.168880\pi\) |
−0.348547 | + | 0.937291i | \(0.613325\pi\) | |||||||
\(632\) | 1.19727 | − | 1.00463i | 0.0476248 | − | 0.0399620i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 16.0473 | − | 27.7948i | 0.637321 | − | 1.10387i | ||||
\(635\) | 7.73805 | + | 13.4027i | 0.307075 | + | 0.531870i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 7.12299 | − | 2.59256i | 0.282223 | − | 0.102721i | ||||
\(638\) | 9.08156 | + | 15.7297i | 0.359543 | + | 0.622746i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −0.243932 | + | 1.38340i | −0.00964224 | + | 0.0546839i | ||||
\(641\) | −17.5433 | + | 14.7206i | −0.692920 | + | 0.581429i | −0.919750 | − | 0.392506i | \(-0.871608\pi\) |
0.226830 | + | 0.973934i | \(0.427164\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −1.49019 | − | 8.45131i | −0.0587675 | − | 0.333287i | 0.941222 | − | 0.337788i | \(-0.109679\pi\) |
−0.999990 | + | 0.00450051i | \(0.998567\pi\) | |||||||
\(644\) | 23.5381 | + | 8.56716i | 0.927530 | + | 0.337593i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.230328 | + | 0.254613i | 0.00906215 | + | 0.0100176i | ||||
\(647\) | 27.2647 | 1.07188 | 0.535942 | − | 0.844255i | \(-0.319957\pi\) | ||||
0.535942 | + | 0.844255i | \(0.319957\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0.464077 | + | 2.63191i | 0.0182166 | + | 0.103312i | ||||
\(650\) | −4.58276 | − | 3.84539i | −0.179750 | − | 0.150829i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −0.201779 | + | 1.14435i | −0.00790228 | + | 0.0448160i | ||||
\(653\) | −13.1299 | + | 22.7417i | −0.513813 | + | 0.889950i | 0.486059 | + | 0.873926i | \(0.338434\pi\) |
−0.999872 | + | 0.0160238i | \(0.994899\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0.791413 | − | 0.288051i | 0.0309231 | − | 0.0112551i | ||||
\(656\) | −43.3272 | + | 15.7698i | −1.69164 | + | 0.615708i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 25.0534 | − | 43.3938i | 0.976685 | − | 1.69167i | ||||
\(659\) | 3.99590 | − | 22.6619i | 0.155658 | − | 0.882781i | −0.802524 | − | 0.596620i | \(-0.796510\pi\) |
0.958182 | − | 0.286160i | \(-0.0923790\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 23.4408 | + | 19.6692i | 0.911742 | + | 0.765042i | 0.972450 | − | 0.233114i | \(-0.0748914\pi\) |
−0.0607080 | + | 0.998156i | \(0.519336\pi\) | |||||||
\(662\) | −4.97423 | − | 28.2102i | −0.193329 | − | 1.09642i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 1.68807 | 0.0655100 | ||||||||
\(665\) | −0.501701 | − | 13.4691i | −0.0194551 | − | 0.522311i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 34.0234 | + | 12.3835i | 1.31739 | + | 0.479491i | ||||
\(668\) | −8.02930 | − | 45.5364i | −0.310663 | − | 1.76186i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 14.4780 | − | 12.1485i | 0.559335 | − | 0.469338i | ||||
\(671\) | 1.67761 | − | 9.51422i | 0.0647636 | − | 0.367292i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 18.9334 | + | 32.7936i | 0.729828 | + | 1.26410i | 0.956956 | + | 0.290234i | \(0.0937331\pi\) |
−0.227128 | + | 0.973865i | \(0.572934\pi\) | |||||||
\(674\) | 4.08422 | − | 1.48654i | 0.157318 | − | 0.0572592i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 4.42761 | + | 7.66885i | 0.170293 | + | 0.294956i | ||||
\(677\) | −21.8471 | + | 37.8403i | −0.839654 | + | 1.45432i | 0.0505308 | + | 0.998723i | \(0.483909\pi\) |
−0.890184 | + | 0.455600i | \(0.849425\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 18.4484 | − | 15.4800i | 0.707983 | − | 0.594068i | ||||
\(680\) | −0.00524583 | − | 0.00440177i | −0.000201168 | − | 0.000168800i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −17.1593 | − | 6.24549i | −0.657065 | − | 0.239152i | ||||
\(683\) | −15.0878 | −0.577320 | −0.288660 | − | 0.957432i | \(-0.593210\pi\) | ||||
−0.288660 | + | 0.957432i | \(0.593210\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 5.07379 | 0.193860 | ||||||||
\(686\) | 26.0724 | + | 9.48956i | 0.995447 | + | 0.362313i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 14.4899 | + | 12.1584i | 0.552421 | + | 0.463536i | ||||
\(689\) | 13.7368 | − | 11.5266i | 0.523331 | − | 0.439127i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −5.36034 | + | 9.28438i | −0.203917 | + | 0.353194i | −0.949787 | − | 0.312897i | \(-0.898701\pi\) |
0.745870 | + | 0.666091i | \(0.232034\pi\) | |||||||
\(692\) | −11.9541 | − | 20.7052i | −0.454428 | − | 0.787093i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −20.9964 | + | 7.64207i | −0.797013 | + | 0.290089i | ||||
\(695\) | −1.36520 | − | 2.36459i | −0.0517848 | − | 0.0896939i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0.0816935 | − | 0.463307i | 0.00309436 | − | 0.0175490i | ||||
\(698\) | 54.7371 | − | 45.9299i | 2.07183 | − | 1.73847i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 1.12058 | + | 6.35515i | 0.0423541 | + | 0.240202i | ||||
\(701\) | 23.0611 | + | 8.39354i | 0.871005 | + | 0.317020i | 0.738574 | − | 0.674172i | \(-0.235500\pi\) |
0.132431 | + | 0.991192i | \(0.457722\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 4.82476 | + | 0.666644i | 0.181969 | + | 0.0251429i | ||||
\(704\) | 8.36023 | 0.315088 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −7.78994 | − | 44.1790i | −0.293178 | − | 1.66270i | ||||
\(707\) | 7.20958 | + | 6.04956i | 0.271144 | + | 0.227517i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −7.43295 | + | 42.1543i | −0.279150 | + | 1.58314i | 0.446312 | + | 0.894878i | \(0.352737\pi\) |
−0.725462 | + | 0.688262i | \(0.758374\pi\) | |||||||
\(710\) | 12.7255 | − | 22.0412i | 0.477579 | − | 0.827191i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −1.44461 | + | 0.525795i | −0.0541391 | + | 0.0197050i | ||||
\(713\) | −34.2059 | + | 12.4499i | −1.28102 | + | 0.466254i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.42513 | + | 2.46840i | −0.0532969 | + | 0.0923129i | ||||
\(716\) | −2.16208 | + | 12.2618i | −0.0808007 | + | 0.458244i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 14.7255 | + | 12.3562i | 0.549551 | + | 0.461128i | ||||
\(719\) | −3.69371 | − | 20.9481i | −0.137752 | − | 0.781231i | −0.972904 | − | 0.231211i | \(-0.925731\pi\) |
0.835152 | − | 0.550020i | \(-0.185380\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −1.01601 | −0.0378381 | ||||||||
\(722\) | −31.1796 | − | 22.4326i | −1.16038 | − | 0.834854i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 12.1152 | + | 4.40959i | 0.450259 | + | 0.163881i | ||||
\(725\) | 1.61976 | + | 9.18612i | 0.0601564 | + | 0.341164i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −8.06976 | + | 6.77133i | −0.299291 | + | 0.251135i | −0.780049 | − | 0.625718i | \(-0.784806\pi\) |
0.480758 | + | 0.876853i | \(0.340361\pi\) | |||||||
\(728\) | −0.279271 | + | 1.58383i | −0.0103505 | + | 0.0587005i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −0.906813 | − | 1.57065i | −0.0335626 | − | 0.0581322i | ||||
\(731\) | −0.181359 | + | 0.0660091i | −0.00670779 | + | 0.00244144i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 12.5446 | + | 21.7279i | 0.463346 | + | 0.802538i | 0.999125 | − | 0.0418196i | \(-0.0133155\pi\) |
−0.535779 | + | 0.844358i | \(0.679982\pi\) | |||||||
\(734\) | 2.20681 | − | 3.82230i | 0.0814548 | − | 0.141084i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 23.9995 | − | 20.1380i | 0.884634 | − | 0.742296i | ||||
\(737\) | −6.89797 | − | 5.78809i | −0.254090 | − | 0.213207i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −26.7511 | − | 9.73660i | −0.984054 | − | 0.358166i | −0.200639 | − | 0.979665i | \(-0.564302\pi\) |
−0.783415 | + | 0.621499i | \(0.786524\pi\) | |||||||
\(740\) | −2.33193 | −0.0857235 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −37.8811 | −1.39066 | ||||||||
\(743\) | −9.54830 | − | 3.47530i | −0.350293 | − | 0.127496i | 0.160880 | − | 0.986974i | \(-0.448567\pi\) |
−0.511173 | + | 0.859478i | \(0.670789\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 5.09088 | + | 4.27176i | 0.186515 | + | 0.156505i | ||||
\(746\) | −19.1114 | + | 16.0364i | −0.699718 | + | 0.587133i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −0.0391591 | + | 0.0678256i | −0.00143180 | + | 0.00247995i | ||||
\(749\) | −19.7703 | − | 34.2432i | −0.722392 | − | 1.25122i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 24.1407 | − | 8.78648i | 0.880905 | − | 0.320623i | 0.138330 | − | 0.990386i | \(-0.455826\pi\) |
0.742575 | + | 0.669763i | \(0.233604\pi\) | |||||||
\(752\) | −15.3040 | − | 26.5072i | −0.558078 | − | 0.966620i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −9.68999 | + | 54.9547i | −0.352889 | + | 2.00133i | ||||
\(755\) | −3.97622 | + | 3.33644i | −0.144709 | + | 0.121426i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −5.48348 | − | 31.0983i | −0.199300 | − | 1.13029i | −0.906160 | − | 0.422935i | \(-0.861000\pi\) |
0.706860 | − | 0.707354i | \(-0.250111\pi\) | |||||||
\(758\) | 35.1471 | + | 12.7925i | 1.27660 | + | 0.464644i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0.677275 | + | 0.358097i | 0.0245674 | + | 0.0129895i | ||||
\(761\) | 3.42183 | 0.124041 | 0.0620207 | − | 0.998075i | \(-0.480246\pi\) | ||||
0.0620207 | + | 0.998075i | \(0.480246\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −8.18375 | − | 46.4123i | −0.296272 | − | 1.68024i | ||||
\(764\) | 29.8377 | + | 25.0368i | 1.07949 | + | 0.905801i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 4.01327 | − | 22.7604i | 0.145005 | − | 0.822365i | ||||
\(767\) | −4.10537 | + | 7.11071i | −0.148236 | + | 0.256753i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 26.7893 | − | 9.75052i | 0.966048 | − | 0.351613i | 0.189648 | − | 0.981852i | \(-0.439265\pi\) |
0.776401 | + | 0.630239i | \(0.217043\pi\) | |||||||
\(770\) | 5.65796 | − | 2.05933i | 0.203899 | − | 0.0742131i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 24.9459 | − | 43.2076i | 0.897824 | − | 1.55508i | ||||
\(773\) | −0.247597 | + | 1.40419i | −0.00890545 | + | 0.0505053i | −0.988937 | − | 0.148338i | \(-0.952608\pi\) |
0.980031 | + | 0.198844i | \(0.0637186\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −7.18387 | − | 6.02798i | −0.258052 | − | 0.216532i | ||||
\(776\) | 0.237699 | + | 1.34806i | 0.00853291 | + | 0.0483925i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −25.3182 | −0.907701 | ||||||||
\(779\) | 1.95910 | + | 52.5958i | 0.0701920 | + | 1.88444i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −11.3947 | − | 4.14732i | −0.407733 | − | 0.148403i | ||||
\(782\) | 0.0530912 | + | 0.301095i | 0.00189854 | + | 0.0107671i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −7.49302 | + | 6.28739i | −0.267608 | + | 0.224550i | ||||
\(785\) | 2.02262 | − | 11.4709i | 0.0721906 | − | 0.409413i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −12.1600 | − | 21.0617i | −0.433456 | − | 0.750768i | 0.563712 | − | 0.825971i | \(-0.309373\pi\) |
−0.997168 | + | 0.0752034i | \(0.976039\pi\) | |||||||
\(788\) | −13.1422 | + | 4.78338i | −0.468172 | + | 0.170401i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −8.98853 | − | 15.5686i | −0.319797 | − | 0.553905i | ||||
\(791\) | 3.96386 | − | 6.86560i | 0.140938 | − | 0.244113i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 22.7373 | − | 19.0788i | 0.807424 | − | 0.677509i | ||||
\(794\) | 18.1972 | + | 15.2693i | 0.645794 | + | 0.541885i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −6.19479 | − | 2.25472i | −0.219569 | − | 0.0799164i | ||||
\(797\) | −33.5714 | −1.18916 | −0.594580 | − | 0.804037i | \(-0.702681\pi\) | ||||
−0.594580 | + | 0.804037i | \(0.702681\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.312303 | 0.0110485 | ||||||||
\(800\) | 7.58444 | + | 2.76051i | 0.268150 | + | 0.0975988i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 22.6751 | + | 19.0266i | 0.800684 | + | 0.671854i | ||||
\(803\) | −0.661932 | + | 0.555427i | −0.0233591 | + | 0.0196006i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 6.00130 | − | 10.3945i | 0.211518 | − | 0.366360i | ||||
\(806\) | −28.0509 | − | 48.5856i | −0.988052 | − | 1.71136i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −0.502685 | + | 0.182962i | −0.0176844 | + | 0.00643659i | ||||
\(809\) | 9.12037 | + | 15.7970i | 0.320655 | + | 0.555391i | 0.980623 | − | 0.195902i | \(-0.0627636\pi\) |
−0.659968 | + | 0.751294i | \(0.729430\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −6.34578 | + | 35.9887i | −0.222830 | + | 1.26373i | 0.643959 | + | 0.765060i | \(0.277291\pi\) |
−0.866790 | + | 0.498674i | \(0.833820\pi\) | |||||||
\(812\) | 46.1114 | − | 38.6921i | 1.61819 | − | 1.35783i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0.377821 | + | 2.14273i | 0.0132426 | + | 0.0751026i | ||||
\(815\) | 0.523217 | + | 0.190435i | 0.0183275 | + | 0.00667066i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 18.2842 | − | 11.4844i | 0.639682 | − | 0.401788i | ||||
\(818\) | 25.7712 | 0.901069 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −4.37578 | − | 24.8163i | −0.152809 | − | 0.866622i | ||||
\(821\) | −8.13847 | − | 6.82899i | −0.284035 | − | 0.238333i | 0.489628 | − | 0.871932i | \(-0.337133\pi\) |
−0.773662 | + | 0.633598i | \(0.781577\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −6.43574 | + | 36.4989i | −0.224336 | + | 1.27227i | 0.639615 | + | 0.768696i | \(0.279094\pi\) |
−0.863951 | + | 0.503577i | \(0.832017\pi\) | |||||||
\(824\) | 0.0288749 | − | 0.0500128i | 0.00100591 | − | 0.00174228i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 16.2989 | − | 5.93231i | 0.567111 | − | 0.206411i | ||||
\(827\) | 26.1420 | − | 9.51490i | 0.909045 | − | 0.330865i | 0.155174 | − | 0.987887i | \(-0.450406\pi\) |
0.753871 | + | 0.657022i | \(0.228184\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 6.90991 | − | 11.9683i | 0.239991 | − | 0.415677i | −0.720720 | − | 0.693226i | \(-0.756189\pi\) |
0.960711 | + | 0.277549i | \(0.0895221\pi\) | |||||||
\(830\) | 3.37165 | − | 19.1216i | 0.117032 | − | 0.663720i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 19.6759 | + | 16.5100i | 0.682139 | + | 0.572383i | ||||
\(833\) | −0.0173307 | − | 0.0982871i | −0.000600472 | − | 0.00340545i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −22.1563 | −0.766751 | ||||||||
\(836\) | 2.68820 | − | 8.33932i | 0.0929732 | − | 0.288422i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 5.40657 | + | 1.96783i | 0.186767 | + | 0.0679776i | ||||
\(839\) | 1.11616 | + | 6.33006i | 0.0385341 | + | 0.218538i | 0.997994 | − | 0.0633071i | \(-0.0201648\pi\) |
−0.959460 | + | 0.281845i | \(0.909054\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 44.4370 | − | 37.2871i | 1.53231 | − | 1.28576i | ||||
\(842\) | 3.91439 | − | 22.1996i | 0.134899 | − | 0.765048i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 11.9561 | + | 20.7085i | 0.411545 | + | 0.712817i | ||||
\(845\) | 3.98727 | − | 1.45125i | 0.137166 | − | 0.0499244i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 15.5726 | + | 26.9726i | 0.535081 | + | 0.926788i | ||||
\(848\) | −11.5699 | + | 20.0396i | −0.397311 | + | 0.688163i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −0.0603386 | + | 0.0506301i | −0.00206960 | + | 0.00173660i | ||||
\(851\) | 3.32254 | + | 2.78794i | 0.113895 | + | 0.0955695i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −24.8033 | − | 9.02767i | −0.849250 | − | 0.309102i | −0.119515 | − | 0.992832i | \(-0.538134\pi\) |
−0.729734 | + | 0.683731i | \(0.760356\pi\) | |||||||
\(854\) | −62.7009 | −2.14558 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 2.24749 | 0.0768177 | ||||||||
\(857\) | 16.0036 | + | 5.82483i | 0.546672 | + | 0.198973i | 0.600567 | − | 0.799574i | \(-0.294941\pi\) |
−0.0538950 | + | 0.998547i | \(0.517164\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 18.9375 | + | 15.8905i | 0.646140 | + | 0.542176i | 0.905897 | − | 0.423498i | \(-0.139198\pi\) |
−0.259757 | + | 0.965674i | \(0.583642\pi\) | |||||||
\(860\) | −7.91907 | + | 6.64489i | −0.270038 | + | 0.226589i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −15.0977 | + | 26.1500i | −0.514230 | + | 0.890673i | ||||
\(863\) | −0.519450 | − | 0.899714i | −0.0176823 | − | 0.0306266i | 0.857049 | − | 0.515235i | \(-0.172295\pi\) |
−0.874731 | + | 0.484609i | \(0.838962\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −10.7653 | + | 3.91823i | −0.366030 | + | 0.133224i | ||||
\(866\) | 39.1757 | + | 67.8542i | 1.33124 | + | 2.30578i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −10.5087 | + | 59.5978i | −0.356688 | + | 2.02288i | ||||
\(869\) | −6.56122 | + | 5.50552i | −0.222574 | + | 0.186762i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −4.80397 | − | 27.2447i | −0.162776 | − | 0.923150i | ||||
\(872\) | 2.51722 | + | 0.916195i | 0.0852440 | + | 0.0310263i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −12.8870 | − | 31.6842i | −0.435910 | − | 1.07174i | ||||
\(875\) | 3.09218 | 0.104535 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 3.68173 | + | 20.8801i | 0.124323 | + | 0.705071i | 0.981708 | + | 0.190395i | \(0.0609768\pi\) |
−0.857385 | + | 0.514676i | \(0.827912\pi\) | |||||||
\(878\) | −48.6717 | − | 40.8404i | −1.64259 | − | 1.37830i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.638677 | − | 3.62212i | 0.0215298 | − | 0.122101i | ||||
\(881\) | 7.84097 | − | 13.5810i | 0.264169 | − | 0.457554i | −0.703176 | − | 0.711015i | \(-0.748236\pi\) |
0.967346 | + | 0.253461i | \(0.0815690\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −18.4562 | + | 6.71750i | −0.621100 | + | 0.226062i | −0.633353 | − | 0.773863i | \(-0.718322\pi\) |
0.0122532 | + | 0.999925i | \(0.496100\pi\) | |||||||
\(884\) | −0.226106 | + | 0.0822957i | −0.00760476 | + | 0.00276790i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 10.7659 | − | 18.6472i | 0.361689 | − | 0.626464i | ||||
\(887\) | −4.30310 | + | 24.4041i | −0.144484 | + | 0.819408i | 0.823296 | + | 0.567612i | \(0.192133\pi\) |
−0.967780 | + | 0.251797i | \(0.918979\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −36.6589 | − | 30.7605i | −1.22950 | − | 1.03167i | ||||
\(890\) | 3.07055 | + | 17.4139i | 0.102925 | + | 0.583717i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −15.6817 | −0.525063 | ||||||||
\(893\) | −34.1586 | + | 7.34365i | −1.14307 | + | 0.245746i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 5.60632 | + | 2.04053i | 0.187398 | + | 0.0682075i | ||||
\(896\) | −0.754279 | − | 4.27773i | −0.0251987 | − | 0.142909i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −6.35566 | + | 5.33303i | −0.212091 | + | 0.177966i | ||||
\(899\) | −15.1899 | + | 86.1463i | −0.506612 | + | 2.87314i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −0.118051 | − | 0.204471i | −0.00393286 | − | 0.00681191i | ||||
\(902\) | −22.0938 | + | 8.04150i | −0.735644 | + | 0.267753i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0.225306 | + | 0.390241i | 0.00749355 | + | 0.0129792i | ||||
\(905\) | 3.08892 | − | 5.35016i | 0.102679 | − | 0.177845i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −16.3342 | + | 13.7060i | −0.542368 | + | 0.455100i | −0.872347 | − | 0.488888i | \(-0.837403\pi\) |
0.329979 | + | 0.943988i | \(0.392958\pi\) | |||||||
\(908\) | 6.71744 | + | 5.63660i | 0.222926 | + | 0.187057i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 17.3829 | + | 6.32687i | 0.576238 | + | 0.209734i | ||||
\(911\) | 34.0175 | 1.12705 | 0.563524 | − | 0.826100i | \(-0.309445\pi\) | ||||
0.563524 | + | 0.826100i | \(0.309445\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −9.25091 | −0.306160 | ||||||||
\(914\) | −17.5902 | − | 6.40232i | −0.581833 | − | 0.211770i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 36.0917 | + | 30.2846i | 1.19250 | + | 1.00063i | ||||
\(917\) | −1.99497 | + | 1.67397i | −0.0658796 | + | 0.0552795i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 20.8710 | − | 36.1496i | 0.688470 | − | 1.19246i | −0.283863 | − | 0.958865i | \(-0.591616\pi\) |
0.972333 | − | 0.233600i | \(-0.0750505\pi\) | |||||||
\(920\) | 0.341114 | + | 0.590826i | 0.0112462 | + | 0.0194790i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 12.6256 | − | 4.59534i | 0.415802 | − | 0.151340i | ||||
\(923\) | −18.6272 | − | 32.2633i | −0.613123 | − | 1.06196i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −0.194033 | + | 1.10042i | −0.00637977 | + | 0.0361815i | ||||
\(926\) | 34.5268 | − | 28.9715i | 1.13462 | − | 0.952061i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −13.0734 | − | 74.1429i | −0.429155 | − | 2.43386i | ||||
\(929\) | −21.5234 | − | 7.83389i | −0.706161 | − | 0.257022i | −0.0361220 | − | 0.999347i | \(-0.511500\pi\) |
−0.670039 | + | 0.742326i | \(0.733723\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 4.20674 | + | 10.3428i | 0.137870 | + | 0.338970i | ||||
\(932\) | 22.9123 | 0.750517 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 5.43213 | + | 30.8071i | 0.177745 | + | 1.00804i | ||||
\(935\) | 0.0287480 | + | 0.0241224i | 0.000940159 | + | 0.000788887i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 2.02604 | − | 11.4902i | 0.0661877 | − | 0.375369i | −0.933664 | − | 0.358150i | \(-0.883408\pi\) |
0.999852 | − | 0.0172191i | \(-0.00548128\pi\) | |||||||
\(938\) | −29.2206 | + | 50.6116i | −0.954088 | + | 1.65253i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 15.7192 | − | 5.72131i | 0.512703 | − | 0.186609i | ||||
\(941\) | 52.0967 | − | 18.9616i | 1.69830 | − | 0.618132i | 0.702672 | − | 0.711514i | \(-0.251990\pi\) |
0.995630 | + | 0.0933820i | \(0.0297678\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −23.4345 | + | 40.5898i | −0.763133 | + | 1.32179i | ||||
\(944\) | 1.83983 | − | 10.4342i | 0.0598815 | − | 0.339605i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 7.38881 | + | 6.19995i | 0.240231 | + | 0.201578i | ||||
\(947\) | 1.61575 | + | 9.16340i | 0.0525049 | + | 0.297770i | 0.999741 | − | 0.0227671i | \(-0.00724762\pi\) |
−0.947236 | + | 0.320537i | \(0.896137\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −2.65474 | −0.0861765 | ||||||||
\(950\) | 5.40907 | − | 6.95657i | 0.175493 | − | 0.225701i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0.0198980 | + | 0.00724229i | 0.000644899 | + | 0.000234724i | ||||
\(953\) | 2.99473 | + | 16.9840i | 0.0970090 | + | 0.550165i | 0.994113 | + | 0.108346i | \(0.0345555\pi\) |
−0.897104 | + | 0.441819i | \(0.854333\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 14.2974 | − | 11.9969i | 0.462652 | − | 0.388211i | ||||
\(956\) | 0.987737 | − | 5.60173i | 0.0319457 | − | 0.181173i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 32.5538 | + | 56.3848i | 1.05177 | + | 1.82171i | ||||
\(959\) | −14.7429 | + | 5.36598i | −0.476073 | + | 0.173276i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −28.4723 | − | 49.3154i | −0.918460 | − | 1.59082i | ||||
\(962\) | −3.34232 | + | 5.78908i | −0.107761 | + | 0.186647i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 17.8318 | − | 14.9626i | 0.574323 | − | 0.481914i | ||||
\(965\) | −18.3136 | − | 15.3669i | −0.589536 | − | 0.494679i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −3.46405 | − | 1.26081i | −0.111396 | − | 0.0405449i | 0.285721 | − | 0.958313i | \(-0.407767\pi\) |
−0.397117 | + | 0.917768i | \(0.629989\pi\) | |||||||
\(968\) | −1.77029 | −0.0568994 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 15.7449 | 0.505537 | ||||||||
\(971\) | −21.3740 | − | 7.77948i | −0.685923 | − | 0.249656i | −0.0245344 | − | 0.999699i | \(-0.507810\pi\) |
−0.661389 | + | 0.750043i | \(0.730033\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 6.46760 | + | 5.42696i | 0.207342 | + | 0.173980i | ||||
\(974\) | −5.65472 | + | 4.74487i | −0.181189 | + | 0.152036i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −19.1505 | + | 33.1697i | −0.612993 | + | 1.06174i | ||||
\(977\) | −22.5088 | − | 38.9865i | −0.720122 | − | 1.24729i | −0.960951 | − | 0.276720i | \(-0.910753\pi\) |
0.240829 | − | 0.970568i | \(-0.422581\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 7.91669 | − | 2.88144i | 0.253018 | − | 0.0920911i | ||||
\(980\) | −2.67290 | − | 4.62960i | −0.0853827 | − | 0.147887i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −1.59679 | + | 9.05587i | −0.0509557 | + | 0.288984i | ||||
\(983\) | −32.4157 | + | 27.2000i | −1.03390 | + | 0.867544i | −0.991310 | − | 0.131548i | \(-0.958005\pi\) |
−0.0425891 | + | 0.999093i | \(0.513561\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 1.16371 | + | 6.59971i | 0.0370788 | + | 0.210284i | ||||
\(986\) | 0.690411 | + | 0.251289i | 0.0219872 | + | 0.00800267i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 22.7955 | − | 14.3180i | 0.725220 | − | 0.455515i | ||||
\(989\) | 19.2274 | 0.611397 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 5.41069 | + | 30.6856i | 0.171876 | + | 0.974759i | 0.941688 | + | 0.336488i | \(0.109239\pi\) |
−0.769812 | + | 0.638271i | \(0.779650\pi\) | |||||||
\(992\) | 57.9824 | + | 48.6530i | 1.84094 | + | 1.54473i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −13.6659 | + | 77.5032i | −0.433456 | + | 2.45825i | ||||
\(995\) | −1.57943 | + | 2.73566i | −0.0500714 | + | 0.0867261i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −36.5451 | + | 13.3013i | −1.15740 | + | 0.421258i | −0.848166 | − | 0.529730i | \(-0.822293\pi\) |
−0.309229 | + | 0.950987i | \(0.600071\pi\) | |||||||
\(998\) | 41.4579 | − | 15.0895i | 1.31233 | − | 0.477648i | ||||
\(999\) | 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 | 855.2.bs.b.631.1 | 18 | ||
3.2 | odd | 2 | 95.2.k.b.61.3 | ✓ | 18 | ||
15.2 | even | 4 | 475.2.u.c.99.1 | 36 | |||
15.8 | even | 4 | 475.2.u.c.99.6 | 36 | |||
15.14 | odd | 2 | 475.2.l.b.251.1 | 18 | |||
19.5 | even | 9 | inner | 855.2.bs.b.271.1 | 18 | ||
57.5 | odd | 18 | 95.2.k.b.81.3 | yes | 18 | ||
57.29 | even | 18 | 1805.2.a.u.1.9 | 9 | |||
57.47 | odd | 18 | 1805.2.a.t.1.1 | 9 | |||
285.29 | even | 18 | 9025.2.a.cd.1.1 | 9 | |||
285.62 | even | 36 | 475.2.u.c.24.6 | 36 | |||
285.104 | odd | 18 | 9025.2.a.ce.1.9 | 9 | |||
285.119 | odd | 18 | 475.2.l.b.176.1 | 18 | |||
285.233 | even | 36 | 475.2.u.c.24.1 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
95.2.k.b.61.3 | ✓ | 18 | 3.2 | odd | 2 | ||
95.2.k.b.81.3 | yes | 18 | 57.5 | odd | 18 | ||
475.2.l.b.176.1 | 18 | 285.119 | odd | 18 | |||
475.2.l.b.251.1 | 18 | 15.14 | odd | 2 | |||
475.2.u.c.24.1 | 36 | 285.233 | even | 36 | |||
475.2.u.c.24.6 | 36 | 285.62 | even | 36 | |||
475.2.u.c.99.1 | 36 | 15.2 | even | 4 | |||
475.2.u.c.99.6 | 36 | 15.8 | even | 4 | |||
855.2.bs.b.271.1 | 18 | 19.5 | even | 9 | inner | ||
855.2.bs.b.631.1 | 18 | 1.1 | even | 1 | trivial | ||
1805.2.a.t.1.1 | 9 | 57.47 | odd | 18 | |||
1805.2.a.u.1.9 | 9 | 57.29 | even | 18 | |||
9025.2.a.cd.1.1 | 9 | 285.29 | even | 18 | |||
9025.2.a.ce.1.9 | 9 | 285.104 | odd | 18 |