Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [360,2,Mod(11,360)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(360, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("360.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 360 = 2^{3} \cdot 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 360.bm (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.87461447277\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.20 | ||
Character | \(\chi\) | \(=\) | 360.11 |
Dual form | 360.2.bm.a.131.20 |
$q$-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 \(\left(\mathbb{Z}/360\mathbb{Z}\right)^\times\).
\(n\) | \(181\) | \(217\) | \(271\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.20329 | − | 0.743030i | 0.850855 | − | 0.525401i | ||||
\(3\) | 1.46420 | + | 0.925262i | 0.845358 | + | 0.534201i | ||||
\(4\) | 0.895814 | − | 1.78816i | 0.447907 | − | 0.894080i | ||||
\(5\) | −0.500000 | − | 0.866025i | −0.223607 | − | 0.387298i | ||||
\(6\) | 2.44936 | + | 0.0254133i | 0.999946 | + | 0.0103749i | ||||
\(7\) | −0.947055 | − | 0.546782i | −0.357953 | − | 0.206664i | 0.310229 | − | 0.950662i | \(-0.399594\pi\) |
−0.668182 | + | 0.743997i | \(0.732927\pi\) | |||||||
\(8\) | −0.250732 | − | 2.81729i | −0.0886471 | − | 0.996063i | ||||
\(9\) | 1.28778 | + | 2.70954i | 0.429260 | + | 0.903181i | ||||
\(10\) | −1.24513 | − | 0.670565i | −0.393744 | − | 0.212051i | ||||
\(11\) | 2.31540 | + | 1.33679i | 0.698118 | + | 0.403059i | 0.806646 | − | 0.591035i | \(-0.201280\pi\) |
−0.108528 | + | 0.994093i | \(0.534614\pi\) | |||||||
\(12\) | 2.96617 | − | 1.78937i | 0.856260 | − | 0.516545i | ||||
\(13\) | 2.12374 | − | 1.22614i | 0.589018 | − | 0.340070i | −0.175691 | − | 0.984445i | \(-0.556216\pi\) |
0.764709 | + | 0.644376i | \(0.222883\pi\) | |||||||
\(14\) | −1.54586 | + | 0.0457520i | −0.413148 | + | 0.0122277i | ||||
\(15\) | 0.0691995 | − | 1.73067i | 0.0178672 | − | 0.446857i | ||||
\(16\) | −2.39503 | − | 3.20372i | −0.598759 | − | 0.800930i | ||||
\(17\) | − | 0.124711i | − | 0.0302469i | −0.999886 | − | 0.0151234i | \(-0.995186\pi\) | ||
0.999886 | − | 0.0151234i | \(-0.00481412\pi\) | |||||||
\(18\) | 3.56284 | + | 2.30351i | 0.839770 | + | 0.542942i | ||||
\(19\) | −5.84133 | −1.34009 | −0.670047 | − | 0.742319i | \(-0.733726\pi\) | ||||
−0.670047 | + | 0.742319i | \(0.733726\pi\) | |||||||
\(20\) | −1.99650 | + | 0.118282i | −0.446431 | + | 0.0264487i | ||||
\(21\) | −0.880763 | − | 1.67687i | −0.192198 | − | 0.365924i | ||||
\(22\) | 3.77937 | − | 0.111856i | 0.805765 | − | 0.0238478i | ||||
\(23\) | 1.21152 | + | 2.09842i | 0.252620 | + | 0.437550i | 0.964246 | − | 0.265008i | \(-0.0853745\pi\) |
−0.711627 | + | 0.702558i | \(0.752041\pi\) | |||||||
\(24\) | 2.23961 | − | 4.35708i | 0.457159 | − | 0.889385i | ||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | 1.64441 | − | 3.05340i | 0.322496 | − | 0.598821i | ||||
\(27\) | −0.621470 | + | 5.15885i | −0.119602 | + | 0.992822i | ||||
\(28\) | −1.82612 | + | 1.20367i | −0.345104 | + | 0.227472i | ||||
\(29\) | −4.29490 | + | 7.43898i | −0.797542 | + | 1.38138i | 0.123670 | + | 0.992323i | \(0.460534\pi\) |
−0.921212 | + | 0.389060i | \(0.872800\pi\) | |||||||
\(30\) | −1.20267 | − | 2.13391i | −0.219577 | − | 0.389597i | ||||
\(31\) | −2.54447 | + | 1.46905i | −0.457000 | + | 0.263849i | −0.710782 | − | 0.703413i | \(-0.751659\pi\) |
0.253782 | + | 0.967261i | \(0.418325\pi\) | |||||||
\(32\) | −5.26238 | − | 2.07542i | −0.930266 | − | 0.366886i | ||||
\(33\) | 2.15332 | + | 4.09969i | 0.374845 | + | 0.713664i | ||||
\(34\) | −0.0926640 | − | 0.150064i | −0.0158917 | − | 0.0257357i | ||||
\(35\) | 1.09356i | 0.184846i | ||||||||
\(36\) | 5.99871 | + | 0.124492i | 0.999785 | + | 0.0207487i | ||||
\(37\) | − | 2.42896i | − | 0.399318i | −0.979865 | − | 0.199659i | \(-0.936017\pi\) | ||
0.979865 | − | 0.199659i | \(-0.0639835\pi\) | |||||||
\(38\) | −7.02882 | + | 4.34028i | −1.14022 | + | 0.704087i | ||||
\(39\) | 4.24408 | + | 0.169696i | 0.679597 | + | 0.0271732i | ||||
\(40\) | −2.31448 | + | 1.62579i | −0.365951 | + | 0.257059i | ||||
\(41\) | 7.57229 | − | 4.37186i | 1.18259 | − | 0.682770i | 0.225980 | − | 0.974132i | \(-0.427442\pi\) |
0.956613 | + | 0.291362i | \(0.0941084\pi\) | |||||||
\(42\) | −2.30578 | − | 1.36333i | −0.355790 | − | 0.210367i | ||||
\(43\) | −2.14293 | + | 3.71166i | −0.326793 | + | 0.566023i | −0.981874 | − | 0.189537i | \(-0.939301\pi\) |
0.655080 | + | 0.755559i | \(0.272635\pi\) | |||||||
\(44\) | 4.46457 | − | 2.94278i | 0.673059 | − | 0.443641i | ||||
\(45\) | 1.70264 | − | 2.47002i | 0.253815 | − | 0.368209i | ||||
\(46\) | 3.01700 | + | 1.62481i | 0.444832 | + | 0.239565i | ||||
\(47\) | −3.32459 | + | 5.75836i | −0.484941 | + | 0.839942i | −0.999850 | − | 0.0173022i | \(-0.994492\pi\) |
0.514909 | + | 0.857245i | \(0.327826\pi\) | |||||||
\(48\) | −0.542535 | − | 6.90693i | −0.0783082 | − | 0.996929i | ||||
\(49\) | −2.90206 | − | 5.02651i | −0.414580 | − | 0.718073i | ||||
\(50\) | 0.0418375 | + | 1.41359i | 0.00591671 | + | 0.199912i | ||||
\(51\) | 0.115390 | − | 0.182602i | 0.0161579 | − | 0.0255694i | ||||
\(52\) | −0.290061 | − | 4.89597i | −0.0402243 | − | 0.678949i | ||||
\(53\) | −2.14097 | −0.294084 | −0.147042 | − | 0.989130i | \(-0.546975\pi\) | ||||
−0.147042 | + | 0.989130i | \(0.546975\pi\) | |||||||
\(54\) | 3.08537 | + | 6.66937i | 0.419866 | + | 0.907586i | ||||
\(55\) | − | 2.67359i | − | 0.360507i | ||||||
\(56\) | −1.30299 | + | 2.80523i | −0.174119 | + | 0.374864i | ||||
\(57\) | −8.55289 | − | 5.40476i | −1.13286 | − | 0.715879i | ||||
\(58\) | 0.359375 | + | 12.1425i | 0.0471883 | + | 1.59439i | ||||
\(59\) | −2.34413 | + | 1.35338i | −0.305179 | + | 0.176195i | −0.644767 | − | 0.764379i | \(-0.723046\pi\) |
0.339588 | + | 0.940574i | \(0.389712\pi\) | |||||||
\(60\) | −3.03272 | − | 1.67410i | −0.391523 | − | 0.216125i | ||||
\(61\) | −9.69518 | − | 5.59752i | −1.24134 | − | 0.716688i | −0.271974 | − | 0.962305i | \(-0.587676\pi\) |
−0.969367 | + | 0.245616i | \(0.921010\pi\) | |||||||
\(62\) | −1.97018 | + | 3.65830i | −0.250214 | + | 0.464605i | ||||
\(63\) | 0.261933 | − | 3.27022i | 0.0330005 | − | 0.412009i | ||||
\(64\) | −7.87427 | + | 1.41277i | −0.984283 | + | 0.176596i | ||||
\(65\) | −2.12374 | − | 1.22614i | −0.263417 | − | 0.152084i | ||||
\(66\) | 5.63726 | + | 3.33313i | 0.693899 | + | 0.410280i | ||||
\(67\) | −0.707180 | − | 1.22487i | −0.0863958 | − | 0.149642i | 0.819589 | − | 0.572951i | \(-0.194202\pi\) |
−0.905985 | + | 0.423309i | \(0.860868\pi\) | |||||||
\(68\) | −0.223003 | − | 0.111718i | −0.0270431 | − | 0.0135478i | ||||
\(69\) | −0.167673 | + | 4.19348i | −0.0201855 | + | 0.504836i | ||||
\(70\) | 0.812551 | + | 1.31588i | 0.0971184 | + | 0.157277i | ||||
\(71\) | 11.2346 | 1.33330 | 0.666648 | − | 0.745372i | \(-0.267728\pi\) | ||||
0.666648 | + | 0.745372i | \(0.267728\pi\) | |||||||
\(72\) | 7.31069 | − | 4.30742i | 0.861573 | − | 0.507634i | ||||
\(73\) | 5.35400 | 0.626639 | 0.313319 | − | 0.949648i | \(-0.398559\pi\) | ||||
0.313319 | + | 0.949648i | \(0.398559\pi\) | |||||||
\(74\) | −1.80479 | − | 2.92274i | −0.209802 | − | 0.339762i | ||||
\(75\) | −1.53340 | + | 0.805405i | −0.177062 | + | 0.0930002i | ||||
\(76\) | −5.23275 | + | 10.4452i | −0.600237 | + | 1.19815i | ||||
\(77\) | −1.46187 | − | 2.53203i | −0.166596 | − | 0.288552i | ||||
\(78\) | 5.23295 | − | 2.94928i | 0.592515 | − | 0.333940i | ||||
\(79\) | −2.07178 | − | 1.19614i | −0.233093 | − | 0.134577i | 0.378905 | − | 0.925436i | \(-0.376301\pi\) |
−0.611998 | + | 0.790859i | \(0.709634\pi\) | |||||||
\(80\) | −1.57698 | + | 3.67602i | −0.176312 | + | 0.410991i | ||||
\(81\) | −5.68325 | + | 6.97859i | −0.631472 | + | 0.775398i | ||||
\(82\) | 5.86323 | − | 10.8871i | 0.647486 | − | 1.20227i | ||||
\(83\) | 11.2212 | + | 6.47858i | 1.23169 | + | 0.711116i | 0.967382 | − | 0.253322i | \(-0.0815232\pi\) |
0.264308 | + | 0.964438i | \(0.414857\pi\) | |||||||
\(84\) | −3.78752 | + | 0.0727777i | −0.413252 | + | 0.00794069i | ||||
\(85\) | −0.108003 | + | 0.0623555i | −0.0117146 | + | 0.00676341i | ||||
\(86\) | 0.179309 | + | 6.05846i | 0.0193354 | + | 0.653300i | ||||
\(87\) | −13.1716 | + | 6.91827i | −1.41214 | + | 0.741716i | ||||
\(88\) | 3.18560 | − | 6.85832i | 0.339586 | − | 0.731100i | ||||
\(89\) | − | 13.3875i | − | 1.41907i | −0.704671 | − | 0.709535i | \(-0.748905\pi\) | ||
0.704671 | − | 0.709535i | \(-0.251095\pi\) | |||||||
\(90\) | 0.213476 | − | 4.23727i | 0.0225024 | − | 0.446647i | ||||
\(91\) | −2.68172 | −0.281121 | ||||||||
\(92\) | 4.83760 | − | 0.286603i | 0.504355 | − | 0.0298805i | ||||
\(93\) | −5.08487 | − | 0.203315i | −0.527276 | − | 0.0210828i | ||||
\(94\) | 0.278185 | + | 9.39924i | 0.0286925 | + | 0.969457i | ||||
\(95\) | 2.92067 | + | 5.05874i | 0.299654 | + | 0.519016i | ||||
\(96\) | −5.78488 | − | 7.90792i | −0.590417 | − | 0.807099i | ||||
\(97\) | 7.51249 | − | 13.0120i | 0.762778 | − | 1.32117i | −0.178636 | − | 0.983915i | \(-0.557168\pi\) |
0.941413 | − | 0.337255i | \(-0.109498\pi\) | |||||||
\(98\) | −7.22687 | − | 3.89204i | −0.730024 | − | 0.393155i | ||||
\(99\) | −0.640385 | + | 7.99516i | −0.0643611 | + | 0.803544i | ||||
\(100\) | 1.10069 | + | 1.66988i | 0.110069 | + | 0.166988i | ||||
\(101\) | −9.34757 | + | 16.1905i | −0.930117 | + | 1.61101i | −0.147000 | + | 0.989136i | \(0.546962\pi\) |
−0.783117 | + | 0.621874i | \(0.786371\pi\) | |||||||
\(102\) | 0.00316931 | − | 0.305462i | 0.000313809 | − | 0.0302452i | ||||
\(103\) | 13.4232 | − | 7.74987i | 1.32262 | − | 0.763617i | 0.338477 | − | 0.940975i | \(-0.390088\pi\) |
0.984147 | + | 0.177357i | \(0.0567549\pi\) | |||||||
\(104\) | −3.98688 | − | 5.67575i | −0.390946 | − | 0.556553i | ||||
\(105\) | −1.01183 | + | 1.60120i | −0.0987449 | + | 0.156261i | ||||
\(106\) | −2.57620 | + | 1.59080i | −0.250223 | + | 0.154512i | ||||
\(107\) | 16.6662i | 1.61118i | 0.592474 | + | 0.805590i | \(0.298151\pi\) | ||||
−0.592474 | + | 0.805590i | \(0.701849\pi\) | |||||||
\(108\) | 8.66814 | + | 5.73266i | 0.834092 | + | 0.551626i | ||||
\(109\) | − | 9.56196i | − | 0.915870i | −0.888986 | − | 0.457935i | \(-0.848589\pi\) | ||
0.888986 | − | 0.457935i | \(-0.151411\pi\) | |||||||
\(110\) | −1.98656 | − | 3.21710i | −0.189411 | − | 0.306739i | ||||
\(111\) | 2.24742 | − | 3.55649i | 0.213316 | − | 0.337567i | ||||
\(112\) | 0.516492 | + | 4.34366i | 0.0488039 | + | 0.410437i | ||||
\(113\) | 11.1943 | − | 6.46306i | 1.05307 | − | 0.607993i | 0.129566 | − | 0.991571i | \(-0.458641\pi\) |
0.923509 | + | 0.383578i | \(0.125308\pi\) | |||||||
\(114\) | −14.3075 | − | 0.148447i | −1.34002 | − | 0.0139034i | ||||
\(115\) | 1.21152 | − | 2.09842i | 0.112975 | − | 0.195678i | ||||
\(116\) | 9.45466 | + | 14.3439i | 0.877843 | + | 1.33180i | ||||
\(117\) | 6.05718 | + | 4.17536i | 0.559986 | + | 0.386012i | ||||
\(118\) | −1.81506 | + | 3.37026i | −0.167090 | + | 0.310258i | ||||
\(119\) | −0.0681898 | + | 0.118108i | −0.00625095 | + | 0.0108270i | ||||
\(120\) | −4.89315 | + | 0.238978i | −0.446681 | + | 0.0218156i | ||||
\(121\) | −1.92596 | − | 3.33586i | −0.175087 | − | 0.303260i | ||||
\(122\) | −15.8252 | + | 0.468372i | −1.43275 | + | 0.0424044i | ||||
\(123\) | 15.1325 | + | 0.605061i | 1.36445 | + | 0.0545565i | ||||
\(124\) | 0.347525 | + | 5.86591i | 0.0312087 | + | 0.526774i | ||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | −2.11469 | − | 4.12965i | −0.188391 | − | 0.367898i | ||||
\(127\) | 15.7987i | 1.40191i | 0.713205 | + | 0.700956i | \(0.247243\pi\) | ||||
−0.713205 | + | 0.700956i | \(0.752757\pi\) | |||||||
\(128\) | −8.42530 | + | 7.55078i | −0.744698 | + | 0.667401i | ||||
\(129\) | −6.57194 | + | 3.45185i | −0.578627 | + | 0.303918i | ||||
\(130\) | −3.46653 | + | 0.102597i | −0.304035 | + | 0.00899836i | ||||
\(131\) | −4.77387 | + | 2.75619i | −0.417095 | + | 0.240810i | −0.693834 | − | 0.720135i | \(-0.744080\pi\) |
0.276739 | + | 0.960945i | \(0.410746\pi\) | |||||||
\(132\) | 9.25987 | − | 0.177930i | 0.805969 | − | 0.0154868i | ||||
\(133\) | 5.53206 | + | 3.19394i | 0.479690 | + | 0.276949i | ||||
\(134\) | −1.76106 | − | 0.948421i | −0.152132 | − | 0.0819311i | ||||
\(135\) | 4.77843 | − | 2.04122i | 0.411262 | − | 0.175680i | ||||
\(136\) | −0.351347 | + | 0.0312690i | −0.0301278 | + | 0.00268130i | ||||
\(137\) | −7.73347 | − | 4.46492i | −0.660715 | − | 0.381464i | 0.131834 | − | 0.991272i | \(-0.457913\pi\) |
−0.792549 | + | 0.609808i | \(0.791247\pi\) | |||||||
\(138\) | 2.91412 | + | 5.17056i | 0.248067 | + | 0.440147i | ||||
\(139\) | −7.69083 | − | 13.3209i | −0.652328 | − | 1.12987i | −0.982556 | − | 0.185964i | \(-0.940459\pi\) |
0.330228 | − | 0.943901i | \(-0.392874\pi\) | |||||||
\(140\) | 1.95547 | + | 0.979631i | 0.165267 | + | 0.0827939i | ||||
\(141\) | −10.1959 | + | 5.35528i | −0.858646 | + | 0.450996i | ||||
\(142\) | 13.5184 | − | 8.34761i | 1.13444 | − | 0.700516i | ||||
\(143\) | 6.55638 | 0.548272 | ||||||||
\(144\) | 5.59634 | − | 10.6151i | 0.466362 | − | 0.884594i | ||||
\(145\) | 8.58979 | 0.713344 | ||||||||
\(146\) | 6.44242 | − | 3.97818i | 0.533178 | − | 0.329237i | ||||
\(147\) | 0.401642 | − | 10.0450i | 0.0331269 | − | 0.828497i | ||||
\(148\) | −4.34336 | − | 2.17589i | −0.357022 | − | 0.178857i | ||||
\(149\) | −0.101779 | − | 0.176287i | −0.00833810 | − | 0.0144420i | 0.861826 | − | 0.507204i | \(-0.169321\pi\) |
−0.870164 | + | 0.492762i | \(0.835987\pi\) | |||||||
\(150\) | −1.24669 | + | 2.10850i | −0.101792 | + | 0.172158i | ||||
\(151\) | 5.62686 | + | 3.24867i | 0.457908 | + | 0.264373i | 0.711164 | − | 0.703026i | \(-0.248168\pi\) |
−0.253256 | + | 0.967399i | \(0.581502\pi\) | |||||||
\(152\) | 1.46461 | + | 16.4567i | 0.118795 | + | 1.33482i | ||||
\(153\) | 0.337910 | − | 0.160600i | 0.0273184 | − | 0.0129838i | ||||
\(154\) | −3.64043 | − | 1.96056i | −0.293354 | − | 0.157986i | ||||
\(155\) | 2.54447 | + | 1.46905i | 0.204376 | + | 0.117997i | ||||
\(156\) | 4.10535 | − | 7.43708i | 0.328691 | − | 0.595443i | ||||
\(157\) | 19.7645 | − | 11.4110i | 1.57738 | − | 0.910700i | 0.582155 | − | 0.813078i | \(-0.302210\pi\) |
0.995224 | − | 0.0976221i | \(-0.0311237\pi\) | |||||||
\(158\) | −3.38172 | + | 0.100087i | −0.269035 | + | 0.00796251i | ||||
\(159\) | −3.13481 | − | 1.98096i | −0.248606 | − | 0.157100i | ||||
\(160\) | 0.833822 | + | 5.59506i | 0.0659194 | + | 0.442329i | ||||
\(161\) | − | 2.64975i | − | 0.208830i | ||||||
\(162\) | −1.65331 | + | 12.6201i | −0.129896 | + | 0.991528i | ||||
\(163\) | −17.3974 | −1.36267 | −0.681334 | − | 0.731973i | \(-0.738600\pi\) | ||||
−0.681334 | + | 0.731973i | \(0.738600\pi\) | |||||||
\(164\) | −1.03423 | − | 17.4568i | −0.0807597 | − | 1.36315i | ||||
\(165\) | 2.47377 | − | 3.91468i | 0.192583 | − | 0.304757i | ||||
\(166\) | 18.3162 | − | 0.542094i | 1.42161 | − | 0.0420747i | ||||
\(167\) | −7.48004 | − | 12.9558i | −0.578823 | − | 1.00255i | −0.995615 | − | 0.0935486i | \(-0.970179\pi\) |
0.416792 | − | 0.909002i | \(-0.363154\pi\) | |||||||
\(168\) | −4.50341 | + | 2.90181i | −0.347446 | + | 0.223880i | ||||
\(169\) | −3.49317 | + | 6.05034i | −0.268705 | + | 0.465411i | ||||
\(170\) | −0.0836269 | + | 0.155281i | −0.00641389 | + | 0.0119095i | ||||
\(171\) | −7.52234 | − | 15.8273i | −0.575248 | − | 1.21035i | ||||
\(172\) | 4.71738 | + | 7.15685i | 0.359697 | + | 0.545705i | ||||
\(173\) | 12.9112 | − | 22.3629i | 0.981621 | − | 1.70022i | 0.325539 | − | 0.945529i | \(-0.394454\pi\) |
0.656083 | − | 0.754689i | \(-0.272212\pi\) | |||||||
\(174\) | −10.7088 | + | 18.1116i | −0.811831 | + | 1.37304i | ||||
\(175\) | 0.947055 | − | 0.546782i | 0.0715906 | − | 0.0413329i | ||||
\(176\) | −1.26274 | − | 10.6195i | −0.0951826 | − | 0.800478i | ||||
\(177\) | −4.68451 | − | 0.187307i | −0.352109 | − | 0.0140788i | ||||
\(178\) | −9.94729 | − | 16.1090i | −0.745581 | − | 1.20742i | ||||
\(179\) | − | 5.67678i | − | 0.424303i | −0.977237 | − | 0.212151i | \(-0.931953\pi\) | ||
0.977237 | − | 0.212151i | \(-0.0680470\pi\) | |||||||
\(180\) | −2.89154 | − | 5.25728i | −0.215523 | − | 0.391855i | ||||
\(181\) | 13.3860i | 0.994971i | 0.867472 | + | 0.497485i | \(0.165743\pi\) | ||||
−0.867472 | + | 0.497485i | \(0.834257\pi\) | |||||||
\(182\) | −3.22689 | + | 1.99260i | −0.239193 | + | 0.147701i | ||||
\(183\) | −9.01654 | − | 17.1665i | −0.666522 | − | 1.26898i | ||||
\(184\) | 5.60808 | − | 3.93935i | 0.413433 | − | 0.290413i | ||||
\(185\) | −2.10354 | + | 1.21448i | −0.154655 | + | 0.0892902i | ||||
\(186\) | −6.26964 | + | 3.53356i | −0.459712 | + | 0.259093i | ||||
\(187\) | 0.166713 | − | 0.288755i | 0.0121913 | − | 0.0211159i | ||||
\(188\) | 7.31865 | + | 11.1033i | 0.533767 | + | 0.809792i | ||||
\(189\) | 3.40934 | − | 4.54591i | 0.247993 | − | 0.330666i | ||||
\(190\) | 7.27320 | + | 3.91699i | 0.527654 | + | 0.284168i | ||||
\(191\) | 2.24173 | − | 3.88280i | 0.162206 | − | 0.280949i | −0.773453 | − | 0.633853i | \(-0.781472\pi\) |
0.935660 | + | 0.352904i | \(0.114806\pi\) | |||||||
\(192\) | −12.8367 | − | 5.21718i | −0.926409 | − | 0.376518i | ||||
\(193\) | 4.45569 | + | 7.71749i | 0.320728 | + | 0.555517i | 0.980638 | − | 0.195827i | \(-0.0627392\pi\) |
−0.659911 | + | 0.751344i | \(0.729406\pi\) | |||||||
\(194\) | −0.628607 | − | 21.2392i | −0.0451313 | − | 1.52489i | ||||
\(195\) | −1.97508 | − | 3.76033i | −0.141438 | − | 0.269283i | ||||
\(196\) | −11.5879 | + | 0.686525i | −0.827708 | + | 0.0490375i | ||||
\(197\) | 12.0147 | 0.856014 | 0.428007 | − | 0.903775i | \(-0.359216\pi\) | ||||
0.428007 | + | 0.903775i | \(0.359216\pi\) | |||||||
\(198\) | 5.17007 | + | 10.0963i | 0.367421 | + | 0.717514i | ||||
\(199\) | − | 12.4401i | − | 0.881853i | −0.897543 | − | 0.440927i | \(-0.854650\pi\) | ||
0.897543 | − | 0.440927i | \(-0.145350\pi\) | |||||||
\(200\) | 2.56521 | + | 1.19151i | 0.181388 | + | 0.0842522i | ||||
\(201\) | 0.0978730 | − | 2.44779i | 0.00690343 | − | 0.172654i | ||||
\(202\) | 0.782157 | + | 26.4273i | 0.0550324 | + | 1.85942i | ||||
\(203\) | 8.13501 | − | 4.69675i | 0.570965 | − | 0.329647i | ||||
\(204\) | −0.223154 | − | 0.369914i | −0.0156239 | − | 0.0258992i | ||||
\(205\) | −7.57229 | − | 4.37186i | −0.528871 | − | 0.305344i | ||||
\(206\) | 10.3936 | − | 19.2991i | 0.724155 | − | 1.34464i | ||||
\(207\) | −4.12558 | + | 5.98497i | −0.286748 | + | 0.415984i | ||||
\(208\) | −9.01462 | − | 3.86720i | −0.625052 | − | 0.268142i | ||||
\(209\) | −13.5250 | − | 7.80866i | −0.935543 | − | 0.540136i | ||||
\(210\) | −0.0277910 | + | 2.67853i | −0.00191776 | + | 0.184836i | ||||
\(211\) | −11.2044 | − | 19.4065i | −0.771340 | − | 1.33600i | −0.936829 | − | 0.349788i | \(-0.886254\pi\) |
0.165489 | − | 0.986212i | \(-0.447080\pi\) | |||||||
\(212\) | −1.91791 | + | 3.82839i | −0.131722 | + | 0.262935i | ||||
\(213\) | 16.4497 | + | 10.3949i | 1.12711 | + | 0.712248i | ||||
\(214\) | 12.3835 | + | 20.0542i | 0.846516 | + | 1.37088i | ||||
\(215\) | 4.28585 | 0.292293 | ||||||||
\(216\) | 14.6898 | + | 0.457373i | 0.999516 | + | 0.0311203i | ||||
\(217\) | 3.21300 | 0.218113 | ||||||||
\(218\) | −7.10482 | − | 11.5058i | −0.481199 | − | 0.779272i | ||||
\(219\) | 7.83935 | + | 4.95386i | 0.529734 | + | 0.334751i | ||||
\(220\) | −4.78081 | − | 2.39504i | −0.322322 | − | 0.161473i | ||||
\(221\) | −0.152913 | − | 0.264853i | −0.0102860 | − | 0.0178160i | ||||
\(222\) | 0.0617277 | − | 5.94939i | 0.00414289 | − | 0.399297i | ||||
\(223\) | 6.10284 | + | 3.52348i | 0.408677 | + | 0.235950i | 0.690221 | − | 0.723599i | \(-0.257513\pi\) |
−0.281544 | + | 0.959548i | \(0.590847\pi\) | |||||||
\(224\) | 3.84896 | + | 4.84291i | 0.257169 | + | 0.323581i | ||||
\(225\) | −2.99042 | − | 0.239523i | −0.199362 | − | 0.0159682i | ||||
\(226\) | 8.66780 | − | 16.0947i | 0.576573 | − | 1.07060i | ||||
\(227\) | 9.66735 | + | 5.58145i | 0.641645 | + | 0.370454i | 0.785248 | − | 0.619182i | \(-0.212536\pi\) |
−0.143603 | + | 0.989635i | \(0.545869\pi\) | |||||||
\(228\) | −17.3264 | + | 10.4523i | −1.14747 | + | 0.692219i | ||||
\(229\) | 5.60858 | − | 3.23812i | 0.370626 | − | 0.213981i | −0.303106 | − | 0.952957i | \(-0.598024\pi\) |
0.673732 | + | 0.738976i | \(0.264690\pi\) | |||||||
\(230\) | −0.101374 | − | 3.42520i | −0.00668440 | − | 0.225851i | ||||
\(231\) | 0.202321 | − | 5.06003i | 0.0133118 | − | 0.332925i | ||||
\(232\) | 22.0346 | + | 10.2348i | 1.44665 | + | 0.671947i | ||||
\(233\) | 7.74508i | 0.507397i | 0.967283 | + | 0.253699i | \(0.0816471\pi\) | ||||
−0.967283 | + | 0.253699i | \(0.918353\pi\) | |||||||
\(234\) | 10.3910 | + | 0.523503i | 0.679278 | + | 0.0342225i | ||||
\(235\) | 6.64918 | 0.433744 | ||||||||
\(236\) | 0.320162 | + | 5.40405i | 0.0208408 | + | 0.351774i | ||||
\(237\) | −1.92676 | − | 3.66834i | −0.125157 | − | 0.238284i | ||||
\(238\) | 0.00570578 | + | 0.192785i | 0.000369850 | + | 0.0124964i | ||||
\(239\) | 7.25239 | + | 12.5615i | 0.469118 | + | 0.812537i | 0.999377 | − | 0.0352993i | \(-0.0112385\pi\) |
−0.530259 | + | 0.847836i | \(0.677905\pi\) | |||||||
\(240\) | −5.71031 | + | 3.92331i | −0.368599 | + | 0.253249i | ||||
\(241\) | −10.0033 | + | 17.3262i | −0.644368 | + | 1.11608i | 0.340079 | + | 0.940397i | \(0.389546\pi\) |
−0.984447 | + | 0.175681i | \(0.943787\pi\) | |||||||
\(242\) | −4.79613 | − | 2.58296i | −0.308307 | − | 0.166039i | ||||
\(243\) | −14.7785 | + | 4.95956i | −0.948038 | + | 0.318156i | ||||
\(244\) | −18.6943 | + | 12.3222i | −1.19678 | + | 0.788848i | ||||
\(245\) | −2.90206 | + | 5.02651i | −0.185406 | + | 0.321132i | ||||
\(246\) | 18.6583 | − | 10.5158i | 1.18961 | − | 0.670464i | ||||
\(247\) | −12.4054 | + | 7.16228i | −0.789339 | + | 0.455725i | ||||
\(248\) | 4.77672 | + | 6.80017i | 0.303322 | + | 0.431811i | ||||
\(249\) | 10.4358 | + | 19.8685i | 0.661340 | + | 1.25912i | ||||
\(250\) | 1.20329 | − | 0.743030i | 0.0761027 | − | 0.0469933i | ||||
\(251\) | − | 20.7692i | − | 1.31094i | −0.755222 | − | 0.655469i | \(-0.772471\pi\) | ||
0.755222 | − | 0.655469i | \(-0.227529\pi\) | |||||||
\(252\) | −5.61303 | − | 3.39789i | −0.353588 | − | 0.214047i | ||||
\(253\) | 6.47822i | 0.407282i | ||||||||
\(254\) | 11.7389 | + | 19.0105i | 0.736566 | + | 1.19282i | ||||
\(255\) | −0.215833 | − | 0.00862994i | −0.0135160 | − | 0.000540428i | ||||
\(256\) | −4.52762 | + | 15.3460i | −0.282976 | + | 0.959127i | ||||
\(257\) | 6.95814 | − | 4.01728i | 0.434037 | − | 0.250591i | −0.267028 | − | 0.963689i | \(-0.586042\pi\) |
0.701065 | + | 0.713097i | \(0.252708\pi\) | |||||||
\(258\) | −5.34312 | + | 9.03672i | −0.332648 | + | 0.562602i | ||||
\(259\) | −1.32811 | + | 2.30036i | −0.0825248 | + | 0.142937i | ||||
\(260\) | −4.09500 | + | 2.69919i | −0.253961 | + | 0.167396i | ||||
\(261\) | −25.6871 | − | 2.05745i | −1.58999 | − | 0.127353i | ||||
\(262\) | −3.69642 | + | 6.86363i | −0.228365 | + | 0.424036i | ||||
\(263\) | 10.4995 | − | 18.1856i | 0.647425 | − | 1.12137i | −0.336310 | − | 0.941751i | \(-0.609179\pi\) |
0.983736 | − | 0.179622i | \(-0.0574876\pi\) | |||||||
\(264\) | 11.0101 | − | 7.09446i | 0.677625 | − | 0.436634i | ||||
\(265\) | 1.07048 | + | 1.85413i | 0.0657592 | + | 0.113898i | ||||
\(266\) | 9.02986 | − | 0.267252i | 0.553656 | − | 0.0163863i | ||||
\(267\) | 12.3869 | − | 19.6020i | 0.758067 | − | 1.19962i | ||||
\(268\) | −2.82377 | + | 0.167294i | −0.172489 | + | 0.0102191i | ||||
\(269\) | 1.50694 | 0.0918795 | 0.0459397 | − | 0.998944i | \(-0.485372\pi\) | ||||
0.0459397 | + | 0.998944i | \(0.485372\pi\) | |||||||
\(270\) | 4.23316 | − | 6.00670i | 0.257622 | − | 0.365556i | ||||
\(271\) | 25.3685i | 1.54103i | 0.637423 | + | 0.770514i | \(0.280000\pi\) | ||||
−0.637423 | + | 0.770514i | \(0.720000\pi\) | |||||||
\(272\) | −0.399539 | + | 0.298687i | −0.0242256 | + | 0.0181106i | ||||
\(273\) | −3.92659 | − | 2.48130i | −0.237648 | − | 0.150175i | ||||
\(274\) | −12.6232 | + | 0.373602i | −0.762594 | + | 0.0225701i | ||||
\(275\) | −2.31540 | + | 1.33679i | −0.139624 | + | 0.0806117i | ||||
\(276\) | 7.34841 | + | 4.05641i | 0.442323 | + | 0.244167i | ||||
\(277\) | 11.8303 | + | 6.83025i | 0.710816 | + | 0.410390i | 0.811363 | − | 0.584542i | \(-0.198726\pi\) |
−0.100547 | + | 0.994932i | \(0.532059\pi\) | |||||||
\(278\) | −19.1521 | − | 10.3144i | −1.14867 | − | 0.618617i | ||||
\(279\) | −7.25716 | − | 5.00253i | −0.434475 | − | 0.299494i | ||||
\(280\) | 3.08089 | − | 0.274191i | 0.184118 | − | 0.0163861i | ||||
\(281\) | 2.52130 | + | 1.45567i | 0.150408 | + | 0.0868383i | 0.573315 | − | 0.819335i | \(-0.305657\pi\) |
−0.422907 | + | 0.906173i | \(0.638990\pi\) | |||||||
\(282\) | −8.28944 | + | 14.0198i | −0.493629 | + | 0.834866i | ||||
\(283\) | −4.83052 | − | 8.36671i | −0.287145 | − | 0.497349i | 0.685982 | − | 0.727618i | \(-0.259373\pi\) |
−0.973127 | + | 0.230269i | \(0.926039\pi\) | |||||||
\(284\) | 10.0641 | − | 20.0892i | 0.597193 | − | 1.19207i | ||||
\(285\) | −0.404217 | + | 10.1094i | −0.0239437 | + | 0.598829i | ||||
\(286\) | 7.88923 | − | 4.87159i | 0.466500 | − | 0.288063i | ||||
\(287\) | −9.56183 | −0.564417 | ||||||||
\(288\) | −1.15334 | − | 16.9313i | −0.0679610 | − | 0.997688i | ||||
\(289\) | 16.9844 | 0.999085 | ||||||||
\(290\) | 10.3360 | − | 6.38247i | 0.606952 | − | 0.374792i | ||||
\(291\) | 23.0393 | − | 12.1012i | 1.35059 | − | 0.709385i | ||||
\(292\) | 4.79619 | − | 9.57382i | 0.280676 | − | 0.560265i | ||||
\(293\) | −11.9028 | − | 20.6162i | −0.695367 | − | 1.20441i | −0.970057 | − | 0.242878i | \(-0.921909\pi\) |
0.274690 | − | 0.961533i | \(-0.411425\pi\) | |||||||
\(294\) | −6.98044 | − | 12.3855i | −0.407107 | − | 0.722336i | ||||
\(295\) | 2.34413 | + | 1.35338i | 0.136480 | + | 0.0787969i | ||||
\(296\) | −6.84308 | + | 0.609017i | −0.397746 | + | 0.0353984i | ||||
\(297\) | −8.33528 | + | 11.1140i | −0.483662 | + | 0.644900i | ||||
\(298\) | −0.253457 | − | 0.136499i | −0.0146824 | − | 0.00790720i | ||||
\(299\) | 5.14590 | + | 2.97099i | 0.297595 | + | 0.171817i | ||||
\(300\) | 0.0665509 | + | 3.46346i | 0.00384232 | + | 0.199963i | ||||
\(301\) | 4.05894 | − | 2.34343i | 0.233953 | − | 0.135073i | ||||
\(302\) | 9.18461 | − | 0.271832i | 0.528515 | − | 0.0156422i | ||||
\(303\) | −28.6672 | + | 15.0572i | −1.64688 | + | 0.865011i | ||||
\(304\) | 13.9902 | + | 18.7140i | 0.802392 | + | 1.07332i | ||||
\(305\) | 11.1950i | 0.641026i | ||||||||
\(306\) | 0.287273 | − | 0.444326i | 0.0164223 | − | 0.0254004i | ||||
\(307\) | 17.7957 | 1.01565 | 0.507827 | − | 0.861459i | \(-0.330449\pi\) | ||||
0.507827 | + | 0.861459i | \(0.330449\pi\) | |||||||
\(308\) | −5.83725 | + | 0.345827i | −0.332608 | + | 0.0197053i | ||||
\(309\) | 26.8249 | + | 1.07257i | 1.52601 | + | 0.0610166i | ||||
\(310\) | 4.15328 | − | 0.122922i | 0.235890 | − | 0.00698153i | ||||
\(311\) | −8.19800 | − | 14.1993i | −0.464866 | − | 0.805171i | 0.534330 | − | 0.845276i | \(-0.320564\pi\) |
−0.999195 | + | 0.0401050i | \(0.987231\pi\) | |||||||
\(312\) | −0.586041 | − | 11.9994i | −0.0331781 | − | 0.679330i | ||||
\(313\) | −10.7484 | + | 18.6168i | −0.607536 | + | 1.05228i | 0.384109 | + | 0.923288i | \(0.374509\pi\) |
−0.991645 | + | 0.128995i | \(0.958825\pi\) | |||||||
\(314\) | 15.3037 | − | 28.4164i | 0.863637 | − | 1.60363i | ||||
\(315\) | −2.96306 | + | 1.40827i | −0.166950 | + | 0.0793470i | ||||
\(316\) | −3.99483 | + | 2.63315i | −0.224726 | + | 0.148126i | ||||
\(317\) | −7.30418 | + | 12.6512i | −0.410244 | + | 0.710563i | −0.994916 | − | 0.100706i | \(-0.967890\pi\) |
0.584672 | + | 0.811270i | \(0.301223\pi\) | |||||||
\(318\) | −5.24399 | − | 0.0544089i | −0.294068 | − | 0.00305110i | ||||
\(319\) | −19.8888 | + | 11.4828i | −1.11356 | + | 0.642913i | ||||
\(320\) | 5.16063 | + | 6.11293i | 0.288488 | + | 0.341723i | ||||
\(321\) | −15.4206 | + | 24.4027i | −0.860693 | + | 1.36202i | ||||
\(322\) | −1.96885 | − | 3.18842i | −0.109719 | − | 0.177684i | ||||
\(323\) | 0.728479i | 0.0405336i | ||||||||
\(324\) | 7.38769 | + | 16.4141i | 0.410427 | + | 0.911893i | ||||
\(325\) | 2.45228i | 0.136028i | ||||||||
\(326\) | −20.9341 | + | 12.9268i | −1.15943 | + | 0.715947i | ||||
\(327\) | 8.84733 | − | 14.0007i | 0.489258 | − | 0.774238i | ||||
\(328\) | −14.2154 | − | 20.2372i | −0.784915 | − | 1.11741i | ||||
\(329\) | 6.29713 | − | 3.63565i | 0.347172 | − | 0.200440i | ||||
\(330\) | 0.0679446 | − | 6.54858i | 0.00374023 | − | 0.360487i | ||||
\(331\) | −15.6137 | + | 27.0437i | −0.858207 | + | 1.48646i | 0.0154304 | + | 0.999881i | \(0.495088\pi\) |
−0.873637 | + | 0.486577i | \(0.838245\pi\) | |||||||
\(332\) | 21.6369 | − | 14.2618i | 1.18748 | − | 0.782715i | ||||
\(333\) | 6.58136 | − | 3.12796i | 0.360657 | − | 0.171411i | ||||
\(334\) | −18.6272 | − | 10.0317i | −1.01924 | − | 0.548910i | ||||
\(335\) | −0.707180 | + | 1.22487i | −0.0386374 | + | 0.0669219i | ||||
\(336\) | −3.26278 | + | 6.83789i | −0.177999 | + | 0.373037i | ||||
\(337\) | 5.23636 | + | 9.06964i | 0.285243 | + | 0.494055i | 0.972668 | − | 0.232200i | \(-0.0745925\pi\) |
−0.687425 | + | 0.726255i | \(0.741259\pi\) | |||||||
\(338\) | 0.292290 | + | 9.87584i | 0.0158985 | + | 0.537175i | ||||
\(339\) | 22.3708 | + | 0.894480i | 1.21502 | + | 0.0485815i | ||||
\(340\) | 0.0147511 | + | 0.248986i | 0.000799992 | + | 0.0135031i | ||||
\(341\) | −7.85526 | −0.425386 | ||||||||
\(342\) | −20.8117 | − | 13.4556i | −1.12537 | − | 0.727593i | ||||
\(343\) | 14.0021i | 0.756044i | ||||||||
\(344\) | 10.9941 | + | 5.10662i | 0.592763 | + | 0.275330i | ||||
\(345\) | 3.71550 | − | 1.95153i | 0.200036 | − | 0.105067i | ||||
\(346\) | −1.08034 | − | 36.5024i | −0.0580797 | − | 1.96238i | ||||
\(347\) | −27.8626 | + | 16.0865i | −1.49574 | + | 0.863567i | −0.999988 | − | 0.00489628i | \(-0.998441\pi\) |
−0.495754 | + | 0.868463i | \(0.665108\pi\) | |||||||
\(348\) | 0.571658 | + | 29.7504i | 0.0306441 | + | 1.59479i | ||||
\(349\) | −14.7646 | − | 8.52433i | −0.790330 | − | 0.456297i | 0.0497488 | − | 0.998762i | \(-0.484158\pi\) |
−0.840079 | + | 0.542465i | \(0.817491\pi\) | |||||||
\(350\) | 0.733306 | − | 1.36163i | 0.0391969 | − | 0.0727820i | ||||
\(351\) | 5.00564 | + | 11.7180i | 0.267181 | + | 0.625463i | ||||
\(352\) | −9.41008 | − | 11.8401i | −0.501559 | − | 0.631082i | ||||
\(353\) | −16.3559 | − | 9.44311i | −0.870539 | − | 0.502606i | −0.00301183 | − | 0.999995i | \(-0.500959\pi\) |
−0.867527 | + | 0.497389i | \(0.834292\pi\) | |||||||
\(354\) | −5.77600 | + | 3.25534i | −0.306991 | + | 0.173020i | ||||
\(355\) | −5.61728 | − | 9.72941i | −0.298134 | − | 0.516384i | ||||
\(356\) | −23.9389 | − | 11.9927i | −1.26876 | − | 0.635611i | ||||
\(357\) | −0.209125 | + | 0.109841i | −0.0110681 | + | 0.00581340i | ||||
\(358\) | −4.21802 | − | 6.83082i | −0.222929 | − | 0.361020i | ||||
\(359\) | −24.5546 | −1.29594 | −0.647972 | − | 0.761664i | \(-0.724382\pi\) | ||||
−0.647972 | + | 0.761664i | \(0.724382\pi\) | |||||||
\(360\) | −7.38568 | − | 4.17753i | −0.389259 | − | 0.220175i | ||||
\(361\) | 15.1211 | 0.795850 | ||||||||
\(362\) | 9.94617 | + | 16.1072i | 0.522759 | + | 0.846576i | ||||
\(363\) | 0.266551 | − | 6.66640i | 0.0139903 | − | 0.349895i | ||||
\(364\) | −2.40233 | + | 4.79535i | −0.125916 | + | 0.251345i | ||||
\(365\) | −2.67700 | − | 4.63670i | −0.140121 | − | 0.242696i | ||||
\(366\) | −23.6047 | − | 13.9567i | −1.23384 | − | 0.729529i | ||||
\(367\) | −16.6622 | − | 9.61992i | −0.869759 | − | 0.502156i | −0.00249084 | − | 0.999997i | \(-0.500793\pi\) |
−0.867268 | + | 0.497841i | \(0.834126\pi\) | |||||||
\(368\) | 3.82110 | − | 8.90715i | 0.199189 | − | 0.464317i | ||||
\(369\) | 21.5972 | + | 14.8874i | 1.12430 | + | 0.775010i | ||||
\(370\) | −1.62877 | + | 3.02436i | −0.0846759 | + | 0.157229i | ||||
\(371\) | 2.02761 | + | 1.17064i | 0.105268 | + | 0.0607767i | ||||
\(372\) | −4.91866 | + | 8.91043i | −0.255020 | + | 0.461984i | ||||
\(373\) | −13.5653 | + | 7.83195i | −0.702386 | + | 0.405523i | −0.808236 | − | 0.588859i | \(-0.799577\pi\) |
0.105849 | + | 0.994382i | \(0.466244\pi\) | |||||||
\(374\) | −0.0139497 | − | 0.471329i | −0.000721322 | − | 0.0243719i | ||||
\(375\) | 1.46420 | + | 0.925262i | 0.0756111 | + | 0.0477803i | ||||
\(376\) | 17.0565 | + | 7.92253i | 0.879624 | + | 0.408573i | ||||
\(377\) | 21.0646i | 1.08488i | ||||||||
\(378\) | 0.724676 | − | 8.00328i | 0.0372733 | − | 0.411645i | ||||
\(379\) | 11.3447 | 0.582738 | 0.291369 | − | 0.956611i | \(-0.405889\pi\) | ||||
0.291369 | + | 0.956611i | \(0.405889\pi\) | |||||||
\(380\) | 11.6622 | − | 0.690927i | 0.598259 | − | 0.0354438i | ||||
\(381\) | −14.6180 | + | 23.1326i | −0.748902 | + | 1.18512i | ||||
\(382\) | −0.187577 | − | 6.33781i | −0.00959727 | − | 0.324271i | ||||
\(383\) | 8.35938 | + | 14.4789i | 0.427145 | + | 0.739836i | 0.996618 | − | 0.0821736i | \(-0.0261862\pi\) |
−0.569473 | + | 0.822010i | \(0.692853\pi\) | |||||||
\(384\) | −19.3228 | + | 3.26027i | −0.986063 | + | 0.166375i | ||||
\(385\) | −1.46187 | + | 2.53203i | −0.0745038 | + | 0.129044i | ||||
\(386\) | 11.0958 | + | 5.97566i | 0.564762 | + | 0.304153i | ||||
\(387\) | −12.8165 | − | 1.02656i | −0.651500 | − | 0.0521829i | ||||
\(388\) | −16.5378 | − | 25.0899i | −0.839578 | − | 1.27375i | ||||
\(389\) | −6.23931 | + | 10.8068i | −0.316346 | + | 0.547927i | −0.979723 | − | 0.200359i | \(-0.935789\pi\) |
0.663377 | + | 0.748285i | \(0.269123\pi\) | |||||||
\(390\) | −5.17063 | − | 3.05722i | −0.261825 | − | 0.154809i | ||||
\(391\) | 0.261696 | − | 0.151090i | 0.0132345 | − | 0.00764096i | ||||
\(392\) | −13.4335 | + | 9.43625i | −0.678495 | + | 0.476603i | ||||
\(393\) | −9.54011 | − | 0.381454i | −0.481235 | − | 0.0192418i | ||||
\(394\) | 14.4572 | − | 8.92730i | 0.728344 | − | 0.449751i | ||||
\(395\) | 2.39229i | 0.120369i | ||||||||
\(396\) | 13.7230 | + | 8.30729i | 0.689605 | + | 0.417457i | ||||
\(397\) | − | 0.465205i | − | 0.0233480i | −0.999932 | − | 0.0116740i | \(-0.996284\pi\) | ||
0.999932 | − | 0.0116740i | \(-0.00371603\pi\) | |||||||
\(398\) | −9.24334 | − | 14.9690i | −0.463327 | − | 0.750329i | ||||
\(399\) | 5.14483 | + | 9.79518i | 0.257564 | + | 0.490372i | ||||
\(400\) | 3.97202 | − | 0.472301i | 0.198601 | − | 0.0236151i | ||||
\(401\) | −11.4982 | + | 6.63849i | −0.574193 | + | 0.331510i | −0.758822 | − | 0.651298i | \(-0.774225\pi\) |
0.184629 | + | 0.982808i | \(0.440892\pi\) | |||||||
\(402\) | −1.70101 | − | 3.01812i | −0.0848387 | − | 0.150530i | ||||
\(403\) | −3.60251 | + | 6.23974i | −0.179454 | + | 0.310823i | ||||
\(404\) | 20.5775 | + | 31.2186i | 1.02377 | + | 1.55318i | ||||
\(405\) | 8.88526 | + | 1.43255i | 0.441512 | + | 0.0711839i | ||||
\(406\) | 6.29895 | − | 11.6961i | 0.312612 | − | 0.580468i | ||||
\(407\) | 3.24702 | − | 5.62400i | 0.160949 | − | 0.278771i | ||||
\(408\) | −0.543376 | − | 0.279304i | −0.0269011 | − | 0.0138276i | ||||
\(409\) | −0.111999 | − | 0.193987i | −0.00553798 | − | 0.00959206i | 0.863243 | − | 0.504788i | \(-0.168429\pi\) |
−0.868781 | + | 0.495196i | \(0.835096\pi\) | |||||||
\(410\) | −12.3601 | + | 0.365815i | −0.610421 | + | 0.0180663i | ||||
\(411\) | −7.19214 | − | 13.6930i | −0.354762 | − | 0.675428i | ||||
\(412\) | −1.83335 | − | 30.9452i | −0.0903225 | − | 1.52456i | ||||
\(413\) | 2.96002 | 0.145653 | ||||||||
\(414\) | −0.517262 | + | 10.2671i | −0.0254220 | + | 0.504599i | ||||
\(415\) | − | 12.9572i | − | 0.636042i | ||||||
\(416\) | −13.7207 | + | 2.04476i | −0.672710 | + | 0.100253i | ||||
\(417\) | 1.06440 | − | 26.6206i | 0.0521241 | − | 1.30361i | ||||
\(418\) | −22.0766 | + | 0.653389i | −1.07980 | + | 0.0319583i | ||||
\(419\) | −6.92393 | + | 3.99754i | −0.338256 | + | 0.195292i | −0.659501 | − | 0.751704i | \(-0.729232\pi\) |
0.321244 | + | 0.946996i | \(0.395899\pi\) | |||||||
\(420\) | 1.95679 | + | 3.24370i | 0.0954814 | + | 0.158276i | ||||
\(421\) | 15.0227 | + | 8.67337i | 0.732162 | + | 0.422714i | 0.819213 | − | 0.573490i | \(-0.194411\pi\) |
−0.0870505 | + | 0.996204i | \(0.527744\pi\) | |||||||
\(422\) | −27.9017 | − | 15.0265i | −1.35823 | − | 0.731478i | ||||
\(423\) | −19.8838 | − | 1.59263i | −0.966786 | − | 0.0774362i | ||||
\(424\) | 0.536808 | + | 6.03173i | 0.0260697 | + | 0.292926i | ||||
\(425\) | 0.108003 | + | 0.0623555i | 0.00523891 | + | 0.00302469i | ||||
\(426\) | 27.5175 | + | 0.285507i | 1.33322 | + | 0.0138328i | ||||
\(427\) | 6.12124 | + | 10.6023i | 0.296228 | + | 0.513082i | ||||
\(428\) | 29.8018 | + | 14.9298i | 1.44052 | + | 0.721659i | ||||
\(429\) | 9.59987 | + | 6.06638i | 0.463486 | + | 0.292887i | ||||
\(430\) | 5.15712 | − | 3.18452i | 0.248699 | − | 0.153571i | ||||
\(431\) | 3.02918 | 0.145910 | 0.0729552 | − | 0.997335i | \(-0.476757\pi\) | ||||
0.0729552 | + | 0.997335i | \(0.476757\pi\) | |||||||
\(432\) | 18.0160 | − | 10.3646i | 0.866793 | − | 0.498668i | ||||
\(433\) | 0.00546847 | 0.000262798 | 0.000131399 | − | 1.00000i | \(-0.499958\pi\) | ||||
0.000131399 | 1.00000i | \(0.499958\pi\) | ||||||||
\(434\) | 3.86617 | − | 2.38735i | 0.185582 | − | 0.114597i | ||||
\(435\) | 12.5772 | + | 7.94781i | 0.603031 | + | 0.381069i | ||||
\(436\) | −17.0983 | − | 8.56574i | −0.818861 | − | 0.410225i | ||||
\(437\) | −7.07690 | − | 12.2575i | −0.338534 | − | 0.586358i | ||||
\(438\) | 13.1139 | + | 0.136063i | 0.626605 | + | 0.00650133i | ||||
\(439\) | −22.4571 | − | 12.9656i | −1.07182 | − | 0.618815i | −0.143141 | − | 0.989702i | \(-0.545720\pi\) |
−0.928678 | + | 0.370887i | \(0.879054\pi\) | |||||||
\(440\) | −7.53228 | + | 0.670354i | −0.359087 | + | 0.0319579i | ||||
\(441\) | 9.88234 | − | 14.3363i | 0.470588 | − | 0.682680i | ||||
\(442\) | −0.380793 | − | 0.205076i | −0.0181125 | − | 0.00975449i | ||||
\(443\) | 13.0998 | + | 7.56316i | 0.622389 | + | 0.359336i | 0.777799 | − | 0.628514i | \(-0.216336\pi\) |
−0.155409 | + | 0.987850i | \(0.549670\pi\) | |||||||
\(444\) | −4.34629 | − | 7.20470i | −0.206266 | − | 0.341920i | ||||
\(445\) | −11.5939 | + | 6.69374i | −0.549603 | + | 0.317314i | ||||
\(446\) | 9.96154 | − | 0.294827i | 0.471693 | − | 0.0139605i | ||||
\(447\) | 0.0140862 | − | 0.352293i | 0.000666253 | − | 0.0166629i | ||||
\(448\) | 8.22984 | + | 2.96754i | 0.388823 | + | 0.140203i | ||||
\(449\) | − | 4.83214i | − | 0.228043i | −0.993478 | − | 0.114021i | \(-0.963627\pi\) | ||
0.993478 | − | 0.114021i | \(-0.0363732\pi\) | |||||||
\(450\) | −3.77632 | + | 1.93376i | −0.178017 | + | 0.0911582i | ||||
\(451\) | 23.3771 | 1.10079 | ||||||||
\(452\) | −1.52893 | − | 25.8070i | −0.0719149 | − | 1.21386i | ||||
\(453\) | 5.23299 | + | 9.96304i | 0.245868 | + | 0.468104i | ||||
\(454\) | 15.7798 | − | 0.467027i | 0.740583 | − | 0.0219187i | ||||
\(455\) | 1.34086 | + | 2.32244i | 0.0628606 | + | 0.108878i | ||||
\(456\) | −13.0823 | + | 25.4511i | −0.612636 | + | 1.19186i | ||||
\(457\) | −0.817739 | + | 1.41637i | −0.0382522 | + | 0.0662548i | −0.884518 | − | 0.466507i | \(-0.845512\pi\) |
0.846265 | + | 0.532761i | \(0.178846\pi\) | |||||||
\(458\) | 4.34273 | − | 8.06374i | 0.202923 | − | 0.376794i | ||||
\(459\) | 0.643366 | + | 0.0775042i | 0.0300298 | + | 0.00361758i | ||||
\(460\) | −2.66701 | − | 4.04619i | −0.124350 | − | 0.188654i | ||||
\(461\) | −4.05449 | + | 7.02259i | −0.188837 | + | 0.327075i | −0.944863 | − | 0.327467i | \(-0.893805\pi\) |
0.756026 | + | 0.654542i | \(0.227138\pi\) | |||||||
\(462\) | −3.51630 | − | 6.23901i | −0.163593 | − | 0.290265i | ||||
\(463\) | 19.0599 | − | 11.0043i | 0.885790 | − | 0.511411i | 0.0132272 | − | 0.999913i | \(-0.495790\pi\) |
0.872563 | + | 0.488501i | \(0.162456\pi\) | |||||||
\(464\) | 34.1188 | − | 4.05697i | 1.58393 | − | 0.188340i | ||||
\(465\) | 2.36636 | + | 4.50528i | 0.109737 | + | 0.208928i | ||||
\(466\) | 5.75482 | + | 9.31958i | 0.266587 | + | 0.431721i | ||||
\(467\) | − | 4.66635i | − | 0.215933i | −0.994155 | − | 0.107966i | \(-0.965566\pi\) | ||
0.994155 | − | 0.107966i | \(-0.0344339\pi\) | |||||||
\(468\) | 12.8923 | − | 7.09086i | 0.595947 | − | 0.327775i | ||||
\(469\) | 1.54669i | 0.0714197i | ||||||||
\(470\) | 8.00089 | − | 4.94053i | 0.369053 | − | 0.227890i | ||||
\(471\) | 39.4974 | + | 1.57928i | 1.81995 | + | 0.0727692i | ||||
\(472\) | 4.40062 | + | 6.26475i | 0.202555 | + | 0.288358i | ||||
\(473\) | −9.92345 | + | 5.72931i | −0.456281 | + | 0.263434i | ||||
\(474\) | −5.04413 | − | 2.98243i | −0.231685 | − | 0.136988i | ||||
\(475\) | 2.92067 | − | 5.05874i | 0.134009 | − | 0.232111i | ||||
\(476\) | 0.150111 | + | 0.227737i | 0.00688033 | + | 0.0104383i | ||||
\(477\) | −2.75709 | − | 5.80104i | −0.126238 | − | 0.265611i | ||||
\(478\) | 18.0603 | + | 9.72640i | 0.826059 | + | 0.444875i | ||||
\(479\) | −4.15142 | + | 7.19047i | −0.189683 | + | 0.328541i | −0.945145 | − | 0.326652i | \(-0.894079\pi\) |
0.755461 | + | 0.655193i | \(0.227413\pi\) | |||||||
\(480\) | −3.95602 | + | 8.96381i | −0.180567 | + | 0.409140i | ||||
\(481\) | −2.97824 | − | 5.15846i | −0.135796 | − | 0.235206i | ||||
\(482\) | 0.837023 | + | 28.2812i | 0.0381254 | + | 1.28817i | ||||
\(483\) | 2.45172 | − | 3.87978i | 0.111557 | − | 0.176536i | ||||
\(484\) | −7.69036 | + | 0.455615i | −0.349562 | + | 0.0207098i | ||||
\(485\) | −15.0250 | −0.682249 | ||||||||
\(486\) | −14.0977 | + | 16.9486i | −0.639483 | + | 0.768805i | ||||
\(487\) | − | 12.1772i | − | 0.551800i | −0.961186 | − | 0.275900i | \(-0.911024\pi\) | ||
0.961186 | − | 0.275900i | \(-0.0889759\pi\) | |||||||
\(488\) | −13.3389 | + | 28.7176i | −0.603826 | + | 1.29999i | ||||
\(489\) | −25.4733 | − | 16.0971i | −1.15194 | − | 0.727938i | ||||
\(490\) | 0.242829 | + | 8.20467i | 0.0109699 | + | 0.370649i | ||||
\(491\) | −22.4724 | + | 12.9744i | −1.01416 | + | 0.585528i | −0.912408 | − | 0.409281i | \(-0.865779\pi\) |
−0.101756 | + | 0.994809i | \(0.532446\pi\) | |||||||
\(492\) | 14.6378 | − | 26.5173i | 0.659925 | − | 1.19549i | ||||
\(493\) | 0.927723 | + | 0.535621i | 0.0417825 | + | 0.0241232i | ||||
\(494\) | −9.60555 | + | 17.8359i | −0.432174 | + | 0.802476i | ||||
\(495\) | 7.24421 | − | 3.44299i | 0.325603 | − | 0.154751i | ||||
\(496\) | 10.8005 | + | 4.63333i | 0.484957 | + | 0.208043i | ||||
\(497\) | −10.6397 | − | 6.14286i | −0.477258 | − | 0.275545i | ||||
\(498\) | 27.3202 | + | 16.1535i | 1.22425 | + | 0.723857i | ||||
\(499\) | 21.1249 | + | 36.5894i | 0.945680 | + | 1.63797i | 0.754384 | + | 0.656433i | \(0.227936\pi\) |
0.191296 | + | 0.981532i | \(0.438731\pi\) | |||||||
\(500\) | 0.895814 | − | 1.78816i | 0.0400620 | − | 0.0799690i | ||||
\(501\) | 1.03523 | − | 25.8909i | 0.0462506 | − | 1.15672i | ||||
\(502\) | −15.4321 | − | 24.9913i | −0.688769 | − | 1.11542i | ||||
\(503\) | −15.7960 | −0.704311 | −0.352156 | − | 0.935942i | \(-0.614551\pi\) | ||||
−0.352156 | + | 0.935942i | \(0.614551\pi\) | |||||||
\(504\) | −9.27884 | + | 0.0820053i | −0.413312 | + | 0.00365281i | ||||
\(505\) | 18.6951 | 0.831922 | ||||||||
\(506\) | 4.81351 | + | 7.79518i | 0.213987 | + | 0.346538i | ||||
\(507\) | −10.7129 | + | 5.62683i | −0.475775 | + | 0.249896i | ||||
\(508\) | 28.2507 | + | 14.1527i | 1.25342 | + | 0.627926i | ||||
\(509\) | 16.1458 | + | 27.9654i | 0.715651 | + | 1.23954i | 0.962708 | + | 0.270543i | \(0.0872033\pi\) |
−0.247057 | + | 0.969001i | \(0.579463\pi\) | |||||||
\(510\) | −0.266123 | + | 0.149986i | −0.0117841 | + | 0.00664151i | ||||
\(511\) | −5.07053 | − | 2.92747i | −0.224307 | − | 0.129504i | ||||
\(512\) | 5.95451 | + | 21.8299i | 0.263155 | + | 0.964754i | ||||
\(513\) | 3.63021 | − | 30.1346i | 0.160278 | − | 1.33047i | ||||
\(514\) | 5.38770 | − | 10.0041i | 0.237641 | − | 0.441260i | ||||
\(515\) | −13.4232 | − | 7.74987i | −0.591495 | − | 0.341500i | ||||
\(516\) | 0.285227 | + | 14.8439i | 0.0125564 | + | 0.653466i | ||||
\(517\) | −15.3955 | + | 8.88858i | −0.677092 | + | 0.390919i | ||||
\(518\) | 0.111130 | + | 3.75482i | 0.00488275 | + | 0.164977i | ||||
\(519\) | 39.5962 | − | 20.7975i | 1.73808 | − | 0.912910i | ||||
\(520\) | −2.92190 | + | 6.29061i | −0.128134 | + | 0.275862i | ||||
\(521\) | 10.9201i | 0.478418i | 0.970968 | + | 0.239209i | \(0.0768881\pi\) | ||||
−0.970968 | + | 0.239209i | \(0.923112\pi\) | |||||||
\(522\) | −32.4378 | + | 16.6106i | −1.41976 | + | 0.727025i | ||||
\(523\) | 5.69579 | 0.249059 | 0.124530 | − | 0.992216i | \(-0.460258\pi\) | ||||
0.124530 | + | 0.992216i | \(0.460258\pi\) | |||||||
\(524\) | 0.652019 | + | 11.0055i | 0.0284836 | + | 0.480777i | ||||
\(525\) | 1.89260 | + | 0.0756741i | 0.0825997 | + | 0.00330269i | ||||
\(526\) | −0.878543 | − | 29.6840i | −0.0383063 | − | 1.29428i | ||||
\(527\) | 0.183207 | + | 0.317323i | 0.00798060 | + | 0.0138228i | ||||
\(528\) | 7.97696 | − | 16.7175i | 0.347153 | − | 0.727537i | ||||
\(529\) | 8.56443 | − | 14.8340i | 0.372367 | − | 0.644958i | ||||
\(530\) | 2.66578 | + | 1.43566i | 0.115794 | + | 0.0623609i | ||||
\(531\) | −6.68576 | − | 4.60865i | −0.290137 | − | 0.199999i | ||||
\(532\) | 10.6670 | − | 7.03104i | 0.462472 | − | 0.304834i | ||||
\(533\) | 10.7210 | − | 18.5694i | 0.464379 | − | 0.804328i | ||||
\(534\) | 0.340219 | − | 32.7907i | 0.0147227 | − | 1.41899i | ||||
\(535\) | 14.4333 | − | 8.33308i | 0.624007 | − | 0.360271i | ||||
\(536\) | −3.27351 | + | 2.29945i | −0.141394 | + | 0.0993210i | ||||
\(537\) | 5.25251 | − | 8.31196i | 0.226663 | − | 0.358688i | ||||
\(538\) | 1.81328 | − | 1.11970i | 0.0781761 | − | 0.0482736i | ||||
\(539\) | − | 15.5178i | − | 0.668400i | ||||||
\(540\) | 0.630562 | − | 10.3732i | 0.0271351 | − | 0.446390i | ||||
\(541\) | − | 40.7008i | − | 1.74987i | −0.484244 | − | 0.874933i | \(-0.660905\pi\) | ||
0.484244 | − | 0.874933i | \(-0.339095\pi\) | |||||||
\(542\) | 18.8496 | + | 30.5257i | 0.809658 | + | 1.31119i | ||||
\(543\) | −12.3855 | + | 19.5998i | −0.531514 | + | 0.841106i | ||||
\(544\) | −0.258828 | + | 0.656277i | −0.0110972 | + | 0.0281376i | ||||
\(545\) | −8.28090 | + | 4.78098i | −0.354715 | + | 0.204795i | ||||
\(546\) | −6.56850 | − | 0.0681513i | −0.281106 | − | 0.00291661i | ||||
\(547\) | −4.03253 | + | 6.98454i | −0.172418 | + | 0.298637i | −0.939265 | − | 0.343193i | \(-0.888491\pi\) |
0.766846 | + | 0.641831i | \(0.221825\pi\) | |||||||
\(548\) | −14.9117 | + | 9.82895i | −0.636998 | + | 0.419872i | ||||
\(549\) | 2.68146 | − | 33.4779i | 0.114442 | − | 1.42880i | ||||
\(550\) | −1.79282 | + | 3.32896i | −0.0764459 | + | 0.141947i | ||||
\(551\) | 25.0879 | − | 43.4535i | 1.06878 | − | 1.85118i | ||||
\(552\) | 11.8563 | − | 0.579055i | 0.504638 | − | 0.0246462i | ||||
\(553\) | 1.30806 | + | 2.26563i | 0.0556243 | + | 0.0963442i | ||||
\(554\) | 19.3104 | − | 0.571521i | 0.820421 | − | 0.0242816i | ||||
\(555\) | −4.20372 | − | 0.168083i | −0.178438 | − | 0.00713471i | ||||
\(556\) | −30.7095 | + | 1.81938i | −1.30237 | + | 0.0771589i | ||||
\(557\) | 33.6992 | 1.42788 | 0.713940 | − | 0.700207i | \(-0.246909\pi\) | ||||
0.713940 | + | 0.700207i | \(0.246909\pi\) | |||||||
\(558\) | −12.4495 | − | 0.627214i | −0.527029 | − | 0.0265521i | ||||
\(559\) | 10.5101i | 0.444530i | ||||||||
\(560\) | 3.50347 | − | 2.61912i | 0.148049 | − | 0.110678i | ||||
\(561\) | 0.511276 | − | 0.268543i | 0.0215861 | − | 0.0113379i | ||||
\(562\) | 4.11547 | − | 0.121803i | 0.173601 | − | 0.00513797i | ||||
\(563\) | −6.59410 | + | 3.80710i | −0.277908 | + | 0.160450i | −0.632476 | − | 0.774580i | \(-0.717961\pi\) |
0.354568 | + | 0.935030i | \(0.384628\pi\) | |||||||
\(564\) | 0.442508 | + | 23.0292i | 0.0186330 | + | 0.969703i | ||||
\(565\) | −11.1943 | − | 6.46306i | −0.470949 | − | 0.271903i | ||||
\(566\) | −12.0292 | − | 6.47836i | −0.505627 | − | 0.272306i | ||||
\(567\) | 9.19812 | − | 3.50160i | 0.386285 | − | 0.147053i | ||||
\(568\) | −2.81686 | − | 31.6510i | −0.118193 | − | 1.32805i | ||||
\(569\) | −11.5746 | − | 6.68257i | −0.485231 | − | 0.280148i | 0.237363 | − | 0.971421i | \(-0.423717\pi\) |
−0.722594 | + | 0.691273i | \(0.757050\pi\) | |||||||
\(570\) | 7.02520 | + | 12.4649i | 0.294253 | + | 0.522097i | ||||
\(571\) | 1.37959 | + | 2.38951i | 0.0577339 | + | 0.0999980i | 0.893448 | − | 0.449167i | \(-0.148279\pi\) |
−0.835714 | + | 0.549165i | \(0.814946\pi\) | |||||||
\(572\) | 5.87330 | − | 11.7239i | 0.245575 | − | 0.490199i | ||||
\(573\) | 6.87496 | − | 3.61101i | 0.287206 | − | 0.150852i | ||||
\(574\) | −11.5057 | + | 7.10472i | −0.480237 | + | 0.296545i | ||||
\(575\) | −2.42304 | −0.101048 | ||||||||
\(576\) | −13.9683 | − | 19.5163i | −0.582011 | − | 0.813181i | ||||
\(577\) | −5.91800 | −0.246369 | −0.123185 | − | 0.992384i | \(-0.539311\pi\) | ||||
−0.123185 | + | 0.992384i | \(0.539311\pi\) | |||||||
\(578\) | 20.4372 | − | 12.6199i | 0.850076 | − | 0.524921i | ||||
\(579\) | −0.616663 | + | 15.4226i | −0.0256276 | + | 0.640943i | ||||
\(580\) | 7.69486 | − | 15.3599i | 0.319512 | − | 0.637786i | ||||
\(581\) | −7.08474 | − | 12.2711i | −0.293925 | − | 0.509093i | ||||
\(582\) | 18.7315 | − | 31.6802i | 0.776444 | − | 1.31319i | ||||
\(583\) | −4.95718 | − | 2.86203i | −0.205306 | − | 0.118533i | ||||
\(584\) | −1.34242 | − | 15.0838i | −0.0555497 | − | 0.624172i | ||||
\(585\) | 0.587376 | − | 7.33335i | 0.0242850 | − | 0.303197i | ||||
\(586\) | −29.6409 | − | 15.9631i | −1.22445 | − | 0.659432i | ||||
\(587\) | −0.615419 | − | 0.355312i | −0.0254011 | − | 0.0146653i | 0.487246 | − | 0.873265i | \(-0.338002\pi\) |
−0.512647 | + | 0.858600i | \(0.671335\pi\) | |||||||
\(588\) | −17.6023 | − | 9.71665i | −0.725905 | − | 0.400708i | ||||
\(589\) | 14.8631 | − | 8.58120i | 0.612422 | − | 0.353582i | ||||
\(590\) | 3.82626 | − | 0.113244i | 0.157525 | − | 0.00466218i | ||||
\(591\) | 17.5920 | + | 11.1168i | 0.723638 | + | 0.457283i | ||||
\(592\) | −7.78169 | + | 5.81744i | −0.319826 | + | 0.239095i | ||||
\(593\) | 5.76716i | 0.236829i | 0.992964 | + | 0.118414i | \(0.0377811\pi\) | ||||
−0.992964 | + | 0.118414i | \(0.962219\pi\) | |||||||
\(594\) | −1.77172 | + | 19.5667i | −0.0726944 | + | 0.802833i | ||||
\(595\) | 0.136380 | 0.00559102 | ||||||||
\(596\) | −0.406405 | + | 0.0240774i | −0.0166470 | + | 0.000986250i | ||||
\(597\) | 11.5103 | − | 18.2148i | 0.471086 | − | 0.745481i | ||||
\(598\) | 8.39954 | − | 0.248597i | 0.343483 | − | 0.0101659i | ||||
\(599\) | 16.9465 | + | 29.3522i | 0.692416 | + | 1.19930i | 0.971044 | + | 0.238901i | \(0.0767871\pi\) |
−0.278628 | + | 0.960399i | \(0.589880\pi\) | |||||||
\(600\) | 2.65353 | + | 4.11810i | 0.108330 | + | 0.168121i | ||||
\(601\) | 1.86493 | − | 3.23015i | 0.0760719 | − | 0.131760i | −0.825480 | − | 0.564431i | \(-0.809095\pi\) |
0.901552 | + | 0.432671i | \(0.142429\pi\) | |||||||
\(602\) | 3.14284 | − | 5.83574i | 0.128093 | − | 0.237847i | ||||
\(603\) | 2.40815 | − | 3.49350i | 0.0980676 | − | 0.142266i | ||||
\(604\) | 10.8498 | − | 7.15153i | 0.441471 | − | 0.290992i | ||||
\(605\) | −1.92596 | + | 3.33586i | −0.0783015 | + | 0.135622i | ||||
\(606\) | −23.3070 | + | 39.4187i | −0.946782 | + | 1.60127i | ||||
\(607\) | −15.0247 | + | 8.67454i | −0.609836 | + | 0.352089i | −0.772901 | − | 0.634526i | \(-0.781195\pi\) |
0.163066 | + | 0.986615i | \(0.447862\pi\) | |||||||
\(608\) | 30.7393 | + | 12.1232i | 1.24664 | + | 0.491662i | ||||
\(609\) | 16.2570 | + | 0.650025i | 0.658768 | + | 0.0263403i | ||||
\(610\) | 8.31824 | + | 13.4709i | 0.336796 | + | 0.545420i | ||||
\(611\) | 16.3056i | 0.659655i | ||||||||
\(612\) | 0.0155256 | − | 0.748105i | 0.000627584 | − | 0.0302404i | ||||
\(613\) | 29.3264i | 1.18448i | 0.805761 | + | 0.592241i | \(0.201757\pi\) | ||||
−0.805761 | + | 0.592241i | \(0.798243\pi\) | |||||||
\(614\) | 21.4134 | − | 13.2227i | 0.864174 | − | 0.533626i | ||||
\(615\) | −7.04224 | − | 13.4076i | −0.283971 | − | 0.540648i | ||||
\(616\) | −6.76694 | + | 4.75338i | −0.272648 | + | 0.191519i | ||||
\(617\) | 13.3388 | − | 7.70113i | 0.536998 | − | 0.310036i | −0.206863 | − | 0.978370i | \(-0.566326\pi\) |
0.743861 | + | 0.668334i | \(0.232992\pi\) | |||||||
\(618\) | 33.0751 | − | 18.6411i | 1.33047 | − | 0.749854i | ||||
\(619\) | 14.0738 | − | 24.3766i | 0.565675 | − | 0.979778i | −0.431311 | − | 0.902203i | \(-0.641949\pi\) |
0.996987 | − | 0.0775751i | \(-0.0247178\pi\) | |||||||
\(620\) | 4.90626 | − | 3.23392i | 0.197040 | − | 0.129877i | ||||
\(621\) | −11.5783 | + | 4.94596i | −0.464623 | + | 0.198475i | ||||
\(622\) | −20.4151 | − | 10.9946i | −0.818571 | − | 0.440843i | ||||
\(623\) | −7.32003 | + | 12.6787i | −0.293271 | + | 0.507960i | ||||
\(624\) | −9.62106 | − | 14.0033i | −0.385150 | − | 0.560579i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | 0.899372 | + | 30.3878i | 0.0359461 | + | 1.21454i | ||||
\(627\) | −12.5783 | − | 23.9476i | −0.502328 | − | 0.956376i | ||||
\(628\) | −2.69945 | − | 45.5643i | −0.107720 | − | 1.81821i | ||||
\(629\) | −0.302918 | −0.0120781 | ||||||||
\(630\) | −2.51904 | + | 3.89620i | −0.100361 | + | 0.155228i | ||||
\(631\) | − | 11.3112i | − | 0.450292i | −0.974325 | − | 0.225146i | \(-0.927714\pi\) | ||
0.974325 | − | 0.225146i | \(-0.0722859\pi\) | |||||||
\(632\) | −2.85042 | + | 6.13672i | −0.113384 | + | 0.244106i | ||||
\(633\) | 1.55067 | − | 38.7820i | 0.0616336 | − | 1.54145i | ||||
\(634\) | 0.611177 | + | 20.6503i | 0.0242729 | + | 0.820129i | ||||
\(635\) | 13.6821 | − | 7.89937i | 0.542958 | − | 0.313477i | ||||
\(636\) | −6.35047 | + | 3.83097i | −0.251813 | + | 0.151908i | ||||
\(637\) | −12.3264 | − | 7.11665i | −0.488390 | − | 0.281972i | ||||
\(638\) | −15.3999 | + | 28.5951i | −0.609688 | + | 1.13209i | ||||
\(639\) | 14.4676 | + | 30.4405i | 0.572330 | + | 1.20421i | ||||
\(640\) | 10.7518 | + | 3.52113i | 0.425003 | + | 0.139185i | ||||
\(641\) | 18.5045 | + | 10.6836i | 0.730882 | + | 0.421975i | 0.818745 | − | 0.574158i | \(-0.194670\pi\) |
−0.0878627 | + | 0.996133i | \(0.528004\pi\) | |||||||
\(642\) | −0.423542 | + | 40.8214i | −0.0167159 | + | 1.61109i | ||||
\(643\) | −8.54544 | − | 14.8011i | −0.336999 | − | 0.583700i | 0.646867 | − | 0.762602i | \(-0.276079\pi\) |
−0.983867 | + | 0.178902i | \(0.942745\pi\) | |||||||
\(644\) | −4.73818 | − | 2.37369i | −0.186711 | − | 0.0935363i | ||||
\(645\) | 6.27536 | + | 3.96554i | 0.247092 | + | 0.156143i | ||||
\(646\) | 0.541281 | + | 0.876571i | 0.0212964 | + | 0.0344882i | ||||
\(647\) | 20.5113 | 0.806383 | 0.403192 | − | 0.915116i | \(-0.367901\pi\) | ||||
0.403192 | + | 0.915116i | \(0.367901\pi\) | |||||||
\(648\) | 21.0857 | + | 14.2616i | 0.828324 | + | 0.560250i | ||||
\(649\) | −7.23677 | −0.284068 | ||||||||
\(650\) | 1.82212 | + | 2.95080i | 0.0714692 | + | 0.115740i | ||||
\(651\) | 4.70448 | + | 2.97287i | 0.184383 | + | 0.116516i | ||||
\(652\) | −15.5848 | + | 31.1093i | −0.610349 | + | 1.21833i | ||||
\(653\) | 1.44882 | + | 2.50943i | 0.0566968 | + | 0.0982017i | 0.892981 | − | 0.450095i | \(-0.148610\pi\) |
−0.836284 | + | 0.548297i | \(0.815277\pi\) | |||||||
\(654\) | 0.243001 | − | 23.4207i | 0.00950208 | − | 0.915821i | ||||
\(655\) | 4.77387 | + | 2.75619i | 0.186530 | + | 0.107693i | ||||
\(656\) | −32.1421 | − | 13.7887i | −1.25494 | − | 0.538359i | ||||
\(657\) | 6.89477 | + | 14.5069i | 0.268991 | + | 0.565968i | ||||
\(658\) | 4.87588 | − | 9.05370i | 0.190082 | − | 0.352950i | ||||
\(659\) | −16.4080 | − | 9.47318i | −0.639166 | − | 0.369023i | 0.145127 | − | 0.989413i | \(-0.453641\pi\) |
−0.784293 | + | 0.620390i | \(0.786974\pi\) | |||||||
\(660\) | −4.78403 | − | 7.93032i | −0.186218 | − | 0.308687i | ||||
\(661\) | 12.1534 | − | 7.01678i | 0.472713 | − | 0.272921i | −0.244662 | − | 0.969608i | \(-0.578677\pi\) |
0.717375 | + | 0.696688i | \(0.245344\pi\) | |||||||
\(662\) | 1.30648 | + | 44.1429i | 0.0507776 | + | 1.71566i | ||||
\(663\) | 0.0211630 | − | 0.529284i | 0.000821903 | − | 0.0205557i | ||||
\(664\) | 15.4385 | − | 33.2379i | 0.599131 | − | 1.28988i | ||||
\(665\) | − | 6.38787i | − | 0.247711i | ||||||
\(666\) | 5.59512 | − | 8.65399i | 0.216807 | − | 0.335335i | ||||
\(667\) | −20.8134 | −0.805899 | ||||||||
\(668\) | −29.8678 | + | 1.76951i | −1.15562 | + | 0.0684646i | ||||
\(669\) | 5.67566 | + | 10.8058i | 0.219434 | + | 0.417777i | ||||
\(670\) | 0.0591733 | + | 1.99933i | 0.00228606 | + | 0.0772410i | ||||
\(671\) | −14.9655 | − | 25.9209i | −0.577735 | − | 1.00067i | ||||
\(672\) | 1.15469 | + | 10.6523i | 0.0445430 | + | 0.410921i | ||||
\(673\) | −4.84513 | + | 8.39201i | −0.186766 | + | 0.323488i | −0.944170 | − | 0.329458i | \(-0.893134\pi\) |
0.757404 | + | 0.652946i | \(0.226467\pi\) | |||||||
\(674\) | 13.0399 | + | 7.02264i | 0.502277 | + | 0.270502i | ||||
\(675\) | −4.15696 | − | 3.11764i | −0.160002 | − | 0.119998i | ||||
\(676\) | 7.68975 | + | 11.6663i | 0.295760 | + | 0.448705i | ||||
\(677\) | −9.97234 | + | 17.2726i | −0.383268 | + | 0.663840i | −0.991527 | − | 0.129898i | \(-0.958535\pi\) |
0.608259 | + | 0.793739i | \(0.291868\pi\) | |||||||
\(678\) | 27.5832 | − | 15.5459i | 1.05933 | − | 0.597035i | ||||
\(679\) | −14.2295 | + | 8.21539i | −0.546077 | + | 0.315278i | ||||
\(680\) | 0.202754 | + | 0.288641i | 0.00777524 | + | 0.0110689i | ||||
\(681\) | 8.99066 | + | 17.1172i | 0.344523 | + | 0.655933i | ||||
\(682\) | −9.45216 | + | 5.83669i | −0.361942 | + | 0.223498i | ||||
\(683\) | − | 30.2801i | − | 1.15864i | −0.815101 | − | 0.579318i | \(-0.803319\pi\) | ||
0.815101 | − | 0.579318i | \(-0.196681\pi\) | |||||||
\(684\) | −35.0404 | − | 0.727201i | −1.33980 | − | 0.0278052i | ||||
\(685\) | 8.92984i | 0.341192i | ||||||||
\(686\) | 10.4040 | + | 16.8486i | 0.397226 | + | 0.643283i | ||||
\(687\) | 11.2082 | + | 0.448152i | 0.427620 | + | 0.0170981i | ||||
\(688\) | 17.0235 | − | 2.02421i | 0.649014 | − | 0.0771725i | ||||
\(689\) | −4.54684 | + | 2.62512i | −0.173221 | + | 0.100009i | ||||
\(690\) | 3.02078 | − | 5.10898i | 0.114999 | − | 0.194496i | ||||
\(691\) | 3.89324 | − | 6.74329i | 0.148106 | − | 0.256527i | −0.782422 | − | 0.622749i | \(-0.786016\pi\) |
0.930527 | + | 0.366222i | \(0.119349\pi\) | |||||||
\(692\) | −28.4224 | − | 43.1203i | −1.08046 | − | 1.63919i | ||||
\(693\) | 4.97809 | − | 7.22170i | 0.189102 | − | 0.274330i | ||||
\(694\) | −21.5740 | + | 40.0594i | −0.818940 | + | 1.52063i | ||||
\(695\) | −7.69083 | + | 13.3209i | −0.291730 | + | 0.505291i | ||||
\(696\) | 22.7933 | + | 35.3736i | 0.863979 | + | 1.34083i | ||||
\(697\) | −0.545220 | − | 0.944348i | −0.0206517 | − | 0.0357697i | ||||
\(698\) | −24.0999 | + | 0.713273i | −0.912195 | + | 0.0269978i | ||||
\(699\) | −7.16623 | + | 11.3404i | −0.271052 | + | 0.428932i | ||||
\(700\) | −0.129349 | − | 2.18330i | −0.00488895 | − | 0.0825210i | ||||
\(701\) | 19.9020 | 0.751687 | 0.375843 | − | 0.926683i | \(-0.377353\pi\) | ||||
0.375843 | + | 0.926683i | \(0.377353\pi\) | |||||||
\(702\) | 14.7301 | + | 10.3809i | 0.555951 | + | 0.391801i | ||||
\(703\) | 14.1883i | 0.535123i | ||||||||
\(704\) | −20.1206 | − | 7.25516i | −0.758325 | − | 0.273439i | ||||
\(705\) | 9.73574 | + | 6.15223i | 0.366669 | + | 0.231706i | ||||
\(706\) | −26.6975 | + | 0.790151i | −1.00477 | + | 0.0297377i | ||||
\(707\) | 17.7053 | − | 10.2222i | 0.665877 | − | 0.384444i | ||||
\(708\) | −4.53138 | + | 8.20886i | −0.170300 | + | 0.308508i | ||||
\(709\) | −33.0445 | − | 19.0782i | −1.24101 | − | 0.716498i | −0.271711 | − | 0.962379i | \(-0.587590\pi\) |
−0.969300 | + | 0.245881i | \(0.920923\pi\) | |||||||
\(710\) | −13.9885 | − | 7.53350i | −0.524977 | − | 0.282727i | ||||
\(711\) | 0.573007 | − | 7.15395i | 0.0214894 | − | 0.268294i | ||||
\(712\) | −37.7164 | + | 3.35666i | −1.41348 | + | 0.125796i | ||||
\(713\) | −6.16535 | − | 3.55957i | −0.230894 | − | 0.133307i | ||||
\(714\) | −0.170023 | + | 0.287556i | −0.00636294 | + | 0.0107615i | ||||
\(715\) | −3.27819 | − | 5.67799i | −0.122597 | − | 0.212345i | ||||
\(716\) | −10.1510 | − | 5.08534i | −0.379361 | − | 0.190048i | ||||
\(717\) | −1.00372 | + | 25.1030i | −0.0374847 | + | 0.937487i | ||||
\(718\) | −29.5463 | + | 18.2448i | −1.10266 | + | 0.680890i | ||||
\(719\) | −42.2205 | −1.57456 | −0.787280 | − | 0.616596i | \(-0.788511\pi\) | ||||
−0.787280 | + | 0.616596i | \(0.788511\pi\) | |||||||
\(720\) | −11.9911 | + | 0.460993i | −0.446883 | + | 0.0171802i | ||||
\(721\) | −16.9500 | −0.631250 | ||||||||
\(722\) | 18.1951 | − | 11.2355i | 0.677153 | − | 0.418141i | ||||
\(723\) | −30.6781 | + | 16.1134i | −1.14093 | + | 0.599263i | ||||
\(724\) | 23.9363 | + | 11.9913i | 0.889584 | + | 0.445654i | ||||
\(725\) | −4.29490 | − | 7.43898i | −0.159508 | − | 0.276277i | ||||
\(726\) | −4.63259 | − | 8.21967i | −0.171932 | − | 0.305060i | ||||
\(727\) | 22.2634 | + | 12.8538i | 0.825703 | + | 0.476720i | 0.852379 | − | 0.522924i | \(-0.175159\pi\) |
−0.0266764 | + | 0.999644i | \(0.508492\pi\) | |||||||
\(728\) | 0.672394 | + | 7.55520i | 0.0249206 | + | 0.280014i | ||||
\(729\) | −26.2276 | − | 6.41214i | −0.971391 | − | 0.237487i | ||||
\(730\) | −6.66642 | − | 3.59021i | −0.246735 | − | 0.132880i | ||||
\(731\) | 0.462885 | + | 0.267247i | 0.0171204 | + | 0.00988448i | ||||
\(732\) | −38.7736 | + | 0.745039i | −1.43311 | + | 0.0275374i | ||||
\(733\) | −44.6422 | + | 25.7742i | −1.64890 | + | 0.951991i | −0.671385 | + | 0.741109i | \(0.734300\pi\) |
−0.977512 | + | 0.210882i | \(0.932366\pi\) | |||||||
\(734\) | −27.1973 | + | 0.804946i | −1.00387 | + | 0.0297111i | ||||
\(735\) | −8.90004 | + | 4.67467i | −0.328283 | + | 0.172428i | ||||
\(736\) | −2.02039 | − | 13.5571i | −0.0744724 | − | 0.499721i | ||||
\(737\) | − | 3.78142i | − | 0.139290i | ||||||
\(738\) | 37.0495 | + | 1.86658i | 1.36381 | + | 0.0687096i | ||||
\(739\) | −13.1324 | −0.483085 | −0.241542 | − | 0.970390i | \(-0.577653\pi\) | ||||
−0.241542 | + | 0.970390i | \(0.577653\pi\) | |||||||
\(740\) | 0.287303 | + | 4.84941i | 0.0105615 | + | 0.178268i | ||||
\(741\) | −24.7911 | − | 0.991252i | −0.910723 | − | 0.0364146i | ||||
\(742\) | 3.30963 | − | 0.0979534i | 0.121500 | − | 0.00359598i | ||||
\(743\) | 19.9804 | + | 34.6070i | 0.733009 | + | 1.26961i | 0.955591 | + | 0.294695i | \(0.0952182\pi\) |
−0.222582 | + | 0.974914i | \(0.571448\pi\) | |||||||
\(744\) | 0.702142 | + | 14.3765i | 0.0257418 | + | 0.527069i | ||||
\(745\) | −0.101779 | + | 0.176287i | −0.00372891 | + | 0.00645866i | ||||
\(746\) | −10.5037 | + | 19.5036i | −0.384566 | + | 0.714076i | ||||
\(747\) | −3.10353 | + | 38.7474i | −0.113552 | + | 1.41769i | ||||
\(748\) | −0.366997 | − | 0.556781i | −0.0134187 | − | 0.0203579i | ||||
\(749\) | 9.11277 | − | 15.7838i | 0.332973 | − | 0.576727i | ||||
\(750\) | 2.44936 | + | 0.0254133i | 0.0894379 | + | 0.000927961i | ||||
\(751\) | 27.3738 | − | 15.8043i | 0.998885 | − | 0.576707i | 0.0909671 | − | 0.995854i | \(-0.471004\pi\) |
0.907918 | + | 0.419147i | \(0.137671\pi\) | |||||||
\(752\) | 26.4106 | − | 3.14042i | 0.963097 | − | 0.114519i | ||||
\(753\) | 19.2169 | − | 30.4103i | 0.700304 | − | 1.10821i | ||||
\(754\) | 15.6516 | + | 25.3468i | 0.569997 | + | 0.923075i | ||||
\(755\) | − | 6.49734i | − | 0.236462i | ||||||
\(756\) | −5.07468 | − | 10.1687i | −0.184564 | − | 0.369833i | ||||
\(757\) | 10.1899i | 0.370357i | 0.982705 | + | 0.185178i | \(0.0592863\pi\) | ||||
−0.982705 | + | 0.185178i | \(0.940714\pi\) | |||||||
\(758\) | 13.6510 | − | 8.42944i | 0.495825 | − | 0.306171i | ||||
\(759\) | −5.99405 | + | 9.48543i | −0.217570 | + | 0.344299i | ||||
\(760\) | 13.5196 | − | 9.49675i | 0.490409 | − | 0.344483i | ||||
\(761\) | 45.8686 | − | 26.4823i | 1.66274 | − | 0.959981i | 0.691337 | − | 0.722533i | \(-0.257022\pi\) |
0.971400 | − | 0.237449i | \(-0.0763111\pi\) | |||||||
\(762\) | −0.401497 | + | 38.6968i | −0.0145447 | + | 1.40184i | ||||
\(763\) | −5.22831 | + | 9.05570i | −0.189278 | + | 0.327838i | ||||
\(764\) | −4.93489 | − | 7.48685i | −0.178538 | − | 0.270865i | ||||
\(765\) | −0.308039 | − | 0.212339i | −0.0111372 | − | 0.00767712i | ||||
\(766\) | 20.8170 | + | 11.2110i | 0.752149 | + | 0.405071i | ||||
\(767\) | −3.31887 | + | 5.74845i | −0.119837 | + | 0.207564i | ||||
\(768\) | −20.8285 | + | 18.2805i | −0.751582 | + | 0.659639i | ||||
\(769\) | −17.1669 | − | 29.7339i | −0.619053 | − | 1.07223i | −0.989659 | − | 0.143441i | \(-0.954183\pi\) |
0.370606 | − | 0.928790i | \(-0.379150\pi\) | |||||||
\(770\) | 0.122322 | + | 4.13299i | 0.00440818 | + | 0.148942i | ||||
\(771\) | 13.9052 | + | 0.555988i | 0.500782 | + | 0.0200234i | ||||
\(772\) | 17.7916 | − | 1.05406i | 0.640333 | − | 0.0379364i | ||||
\(773\) | −49.7288 | −1.78862 | −0.894310 | − | 0.447447i | \(-0.852333\pi\) | ||||
−0.894310 | + | 0.447447i | \(0.852333\pi\) | |||||||
\(774\) | −16.1847 | + | 8.28780i | −0.581749 | + | 0.297899i | ||||
\(775\) | − | 2.93810i | − | 0.105540i | ||||||
\(776\) | −38.5423 | − | 17.9024i | −1.38359 | − | 0.642657i | ||||
\(777\) | −4.07306 | + | 2.13934i | −0.146120 | + | 0.0767482i | ||||
\(778\) | 0.522074 | + | 17.6397i | 0.0187172 | + | 0.632414i | ||||
\(779\) | −44.2322 | + | 25.5375i | −1.58478 | + | 0.914976i | ||||
\(780\) | −8.49337 | + | 0.163201i | −0.304112 | + | 0.00584354i | ||||
\(781\) | 26.0124 | + | 15.0183i | 0.930799 | + | 0.537397i | ||||
\(782\) | 0.202631 | − | 0.376253i | 0.00724609 | − | 0.0134548i | ||||
\(783\) | −35.7075 | − | 26.7798i | −1.27608 | − | 0.957034i | ||||
\(784\) | −9.15300 | + | 21.3360i | −0.326893 | + | 0.762002i | ||||
\(785\) | −19.7645 | − | 11.4110i | −0.705425 | − | 0.407277i | ||||
\(786\) | −11.7630 | + | 6.62959i | −0.419571 | + | 0.236470i | ||||
\(787\) | 16.3098 | + | 28.2495i | 0.581383 | + | 1.00698i | 0.995316 | + | 0.0966772i | \(0.0308215\pi\) |
−0.413933 | + | 0.910307i | \(0.635845\pi\) | |||||||
\(788\) | 10.7630 | − | 21.4843i | 0.383415 | − | 0.765345i | ||||
\(789\) | 32.1998 | − | 16.9127i | 1.14634 | − | 0.602107i | ||||
\(790\) | 1.77754 | + | 2.87861i | 0.0632420 | + | 0.102416i | ||||
\(791\) | −14.1355 | −0.502602 | ||||||||
\(792\) | 22.6853 | − | 0.200490i | 0.806086 | − | 0.00712410i | ||||
\(793\) | −27.4533 | −0.974896 | ||||||||
\(794\) | −0.345661 | − | 0.559777i | −0.0122671 | − | 0.0198657i | ||||
\(795\) | −0.148154 | + | 3.70530i | −0.00525447 | + | 0.131413i | ||||
\(796\) | −22.2448 | − | 11.1440i | −0.788447 | − | 0.394988i | ||||
\(797\) | 12.3771 | + | 21.4377i | 0.438419 | + | 0.759363i | 0.997568 | − | 0.0697039i | \(-0.0222054\pi\) |
−0.559149 | + | 0.829067i | \(0.688872\pi\) | |||||||
\(798\) | 13.4688 | + | 7.96368i | 0.476791 | + | 0.281911i | ||||
\(799\) | 0.718131 | + | 0.414613i | 0.0254056 | + | 0.0146679i | ||||
\(800\) | 4.42856 | − | 3.51964i | 0.156573 | − | 0.124438i | ||||
\(801\) | 36.2739 | − | 17.2401i | 1.28168 | − | 0.609149i | ||||
\(802\) | −8.90308 | + | 16.5315i | −0.314379 | + | 0.583749i | ||||
\(803\) | 12.3966 | + | 7.15720i | 0.437468 | + | 0.252572i | ||||
\(804\) | −4.28936 | − | 2.36778i | −0.151274 | − | 0.0835050i | ||||
\(805\) | −2.29475 | + | 1.32488i | −0.0808794 | + | 0.0466958i | ||||
\(806\) | 0.301440 | + | 10.1850i | 0.0106178 | + | 0.358751i | ||||
\(807\) | 2.20646 | + | 1.39431i | 0.0776710 | + | 0.0490821i | ||||
\(808\) | 47.9570 | + | 22.2754i | 1.68712 | + | 0.783644i | ||||
\(809\) | 31.2048i | 1.09710i | 0.836116 | + | 0.548552i | \(0.184821\pi\) | ||||
−0.836116 | + | 0.548552i | \(0.815179\pi\) | |||||||
\(810\) | 11.7560 | − | 4.87824i | 0.413063 | − | 0.171404i | ||||
\(811\) | 37.9198 | 1.33155 | 0.665773 | − | 0.746155i | \(-0.268102\pi\) | ||||
0.665773 | + | 0.746155i | \(0.268102\pi\) | |||||||
\(812\) | −1.11109 | − | 18.7541i | −0.0389914 | − | 0.658140i | ||||
\(813\) | −23.4725 | + | 37.1446i | −0.823218 | + | 1.30272i | ||||
\(814\) | −0.271694 | − | 9.17993i | −0.00952286 | − | 0.321756i | ||||
\(815\) | 8.69869 | + | 15.0666i | 0.304702 | + | 0.527759i | ||||
\(816\) | −0.861370 | + | 0.0676602i | −0.0301540 | + | 0.00236858i | ||||
\(817\) | 12.5175 | − | 21.6810i | 0.437933 | − | 0.758523i | ||||
\(818\) | −0.278905 | − | 0.150205i | −0.00975169 | − | 0.00525178i | ||||
\(819\) | −3.45347 | − | 7.26625i | −0.120674 | − | 0.253903i | ||||
\(820\) | −14.6009 | + | 9.62409i | −0.509887 | + | 0.336088i | ||||
\(821\) | 10.9987 | − | 19.0504i | 0.383859 | − | 0.664863i | −0.607751 | − | 0.794127i | \(-0.707928\pi\) |
0.991610 | + | 0.129264i | \(0.0412615\pi\) | |||||||
\(822\) | −18.8286 | − | 11.1327i | −0.656722 | − | 0.388298i | ||||
\(823\) | 30.4982 | − | 17.6082i | 1.06310 | − | 0.613782i | 0.136813 | − | 0.990597i | \(-0.456314\pi\) |
0.926289 | + | 0.376815i | \(0.122981\pi\) | |||||||
\(824\) | −25.1993 | − | 35.8738i | −0.877858 | − | 1.24972i | ||||
\(825\) | −4.62709 | − | 0.185011i | −0.161095 | − | 0.00644125i | ||||
\(826\) | 3.56176 | − | 2.19938i | 0.123930 | − | 0.0765263i | ||||
\(827\) | − | 26.5196i | − | 0.922178i | −0.887354 | − | 0.461089i | \(-0.847459\pi\) | ||
0.887354 | − | 0.461089i | \(-0.152541\pi\) | |||||||
\(828\) | 7.00633 | + | 12.7386i | 0.243487 | + | 0.442697i | ||||
\(829\) | − | 3.51213i | − | 0.121981i | −0.998138 | − | 0.0609907i | \(-0.980574\pi\) | ||
0.998138 | − | 0.0609907i | \(-0.0194260\pi\) | |||||||
\(830\) | −9.62755 | − | 15.5912i | −0.334177 | − | 0.541179i | ||||
\(831\) | 11.0022 | + | 20.9470i | 0.381664 | + | 0.726645i | ||||
\(832\) | −14.9906 | + | 12.6553i | −0.519706 | + | 0.438743i | ||||
\(833\) | −0.626862 | + | 0.361919i | −0.0217195 | + | 0.0125397i | ||||
\(834\) | −18.4991 | − | 32.8231i | −0.640571 | − | 1.13657i | ||||
\(835\) | −7.48004 | + | 12.9558i | −0.258857 | + | 0.448354i | ||||
\(836\) | −26.0790 | + | 17.1898i | −0.901962 | + | 0.594520i | ||||
\(837\) | −5.99730 | − | 14.0395i | −0.207297 | − | 0.485276i | ||||
\(838\) | −5.36121 | + | 9.95488i | −0.185200 | + | 0.343886i | ||||
\(839\) | 6.16894 | − | 10.6849i | 0.212975 | − | 0.368884i | −0.739669 | − | 0.672971i | \(-0.765018\pi\) |
0.952644 | + | 0.304087i | \(0.0983513\pi\) | |||||||
\(840\) | 4.76475 | + | 2.44916i | 0.164399 | + | 0.0845041i | ||||
\(841\) | −22.3923 | − | 38.7846i | −0.772148 | − | 1.33740i | ||||
\(842\) | 24.5212 | − | 0.725743i | 0.845058 | − | 0.0250108i | ||||
\(843\) | 2.34482 | + | 4.46427i | 0.0807598 | + | 0.153758i | ||||
\(844\) | −44.7390 | + | 2.65056i | −1.53998 | + | 0.0912359i | ||||
\(845\) | 6.98633 | 0.240337 | ||||||||
\(846\) | −25.1094 | + | 12.8579i | −0.863279 | + | 0.442063i | ||||
\(847\) | 4.21233i | 0.144737i | ||||||||
\(848\) | 5.12769 | + | 6.85905i | 0.176085 | + | 0.235541i | ||||
\(849\) | 0.668539 | − | 16.7201i | 0.0229442 | − | 0.573831i | ||||
\(850\) | 0.176291 | − | 0.00521759i | 0.00604673 | − | 0.000178962i | ||||
\(851\) | 5.09696 | − | 2.94273i | 0.174722 | − | 0.100876i | ||||
\(852\) | 33.3236 | − | 20.1027i | 1.14165 | − | 0.688708i | ||||
\(853\) | 28.9822 | + | 16.7329i | 0.992330 | + | 0.572922i | 0.905970 | − | 0.423342i | \(-0.139143\pi\) |
0.0863602 | + | 0.996264i | \(0.472476\pi\) | |||||||
\(854\) | 15.2435 | + | 8.20939i | 0.521621 | + | 0.280919i | ||||
\(855\) | −9.94571 | + | 14.4282i | −0.340136 | + | 0.493434i | ||||
\(856\) | 46.9535 | − | 4.17874i | 1.60484 | − | 0.142826i | ||||
\(857\) | 3.00409 | + | 1.73441i | 0.102618 | + | 0.0592464i | 0.550431 | − | 0.834881i | \(-0.314464\pi\) |
−0.447813 | + | 0.894127i | \(0.647797\pi\) | |||||||
\(858\) | 16.0589 | + | 0.166619i | 0.548243 | + | 0.00568828i | ||||
\(859\) | 11.4262 | + | 19.7907i | 0.389855 | + | 0.675250i | 0.992430 | − | 0.122813i | \(-0.0391916\pi\) |
−0.602574 | + | 0.798063i | \(0.705858\pi\) | |||||||
\(860\) | 3.83933 | − | 7.66379i | 0.130920 | − | 0.261333i | ||||
\(861\) | −14.0005 | − | 8.84720i | −0.477134 | − | 0.301512i | ||||
\(862\) | 3.64498 | − | 2.25077i | 0.124149 | − | 0.0766615i | ||||
\(863\) | −22.0525 | −0.750677 | −0.375338 | − | 0.926888i | \(-0.622474\pi\) | ||||
−0.375338 | + | 0.926888i | \(0.622474\pi\) | |||||||
\(864\) | 13.9772 | − | 25.8580i | 0.475514 | − | 0.879708i | ||||
\(865\) | −25.8224 | −0.877989 | ||||||||
\(866\) | 0.00658016 | − | 0.00406324i | 0.000223603 | − | 0.000138074i | ||||
\(867\) | 24.8687 | + | 15.7151i | 0.844584 | + | 0.533712i | ||||
\(868\) | 2.87825 | − | 5.74536i | 0.0976941 | − | 0.195010i | ||||
\(869\) | −3.19799 | − | 5.53909i | −0.108485 | − | 0.187901i | ||||
\(870\) | 21.0395 | + | 0.218295i | 0.713305 | + | 0.00740088i | ||||
\(871\) | −3.00373 | − | 1.73420i | −0.101777 | − | 0.0587612i | ||||
\(872\) | −26.9388 | + | 2.39749i | −0.912264 | + | 0.0811892i | ||||
\(873\) | 44.9310 | + | 3.59882i | 1.52069 | + | 0.121802i | ||||
\(874\) | −17.6233 | − | 9.49104i | −0.596116 | − | 0.321039i | ||||
\(875\) | −0.947055 | − | 0.546782i | −0.0320163 | − | 0.0184846i | ||||
\(876\) | 15.8809 | − | 9.58027i | 0.536566 | − | 0.323687i | ||||
\(877\) | 7.13379 | − | 4.11870i | 0.240891 | − | 0.139079i | −0.374695 | − | 0.927148i | \(-0.622253\pi\) |
0.615586 | + | 0.788070i | \(0.288919\pi\) | |||||||
\(878\) | −36.6563 | + | 1.08490i | −1.23709 | + | 0.0366135i | ||||
\(879\) | 1.64733 | − | 41.1995i | 0.0555630 | − | 1.38962i | ||||
\(880\) | −8.56543 | + | 6.40334i | −0.288740 | + | 0.215856i | ||||
\(881\) | 32.8817i | 1.10781i | 0.832578 | + | 0.553907i | \(0.186864\pi\) | ||||
−0.832578 | + | 0.553907i | \(0.813136\pi\) | |||||||
\(882\) | 1.23904 | − | 24.5936i | 0.0417207 | − | 0.828109i | ||||
\(883\) | −11.4139 | −0.384109 | −0.192054 | − | 0.981384i | \(-0.561515\pi\) | ||||
−0.192054 | + | 0.981384i | \(0.561515\pi\) | |||||||
\(884\) | −0.610582 | + | 0.0361739i | −0.0205361 | + | 0.00121666i | ||||
\(885\) | 2.18004 | + | 4.15056i | 0.0732813 | + | 0.139519i | ||||
\(886\) | 21.3825 | − | 0.632847i | 0.718358 | − | 0.0212609i | ||||
\(887\) | −15.2731 | − | 26.4538i | −0.512821 | − | 0.888232i | −0.999889 | − | 0.0148681i | \(-0.995267\pi\) |
0.487069 | − | 0.873364i | \(-0.338066\pi\) | |||||||
\(888\) | −10.5832 | − | 5.43992i | −0.355148 | − | 0.182552i | ||||
\(889\) | 8.63847 | − | 14.9623i | 0.289725 | − | 0.501819i | ||||
\(890\) | −8.97717 | + | 16.6691i | −0.300915 | + | 0.558750i | ||||
\(891\) | −22.4879 | + | 8.56085i | −0.753373 | + | 0.286799i | ||||
\(892\) | 11.7676 | − | 7.75648i | 0.394007 | − | 0.259706i | ||||
\(893\) | 19.4200 | − | 33.6365i | 0.649866 | − | 1.12560i | ||||
\(894\) | −0.244814 | − | 0.434377i | −0.00818781 | − | 0.0145277i | ||||
\(895\) | −4.91624 | + | 2.83839i | −0.164332 | + | 0.0948770i | ||||
\(896\) | 12.1079 | − | 2.54420i | 0.404495 | − | 0.0849958i | ||||
\(897\) | 4.78570 | + | 9.11144i | 0.159790 | + | 0.304222i | ||||
\(898\) | −3.59042 | − | 5.81446i | −0.119814 | − | 0.194031i | ||||
\(899\) | − | 25.2376i | − | 0.841723i | ||||||
\(900\) | −3.10717 | + | 5.13279i | −0.103572 | + | 0.171093i | ||||
\(901\) | 0.267002i | 0.00889513i | ||||||||
\(902\) | 28.1295 | − | 17.3699i | 0.936609 | − | 0.578354i | ||||
\(903\) | 8.11139 | + | 0.324328i | 0.269930 | + | 0.0107930i | ||||
\(904\) | −21.0151 | − | 29.9172i | −0.698951 | − | 0.995032i | ||||
\(905\) | 11.5926 | − | 6.69298i | 0.385351 | − | 0.222482i | ||||
\(906\) | 13.6996 | + | 8.10016i | 0.455140 | + | 0.269110i | ||||
\(907\) | 7.61694 | − | 13.1929i | 0.252916 | − | 0.438064i | −0.711411 | − | 0.702776i | \(-0.751944\pi\) |
0.964328 | + | 0.264712i | \(0.0852769\pi\) | |||||||
\(908\) | 18.6407 | − | 12.2868i | 0.618613 | − | 0.407753i | ||||
\(909\) | −55.9063 | − | 4.47791i | −1.85430 | − | 0.148523i | ||||
\(910\) | 3.33909 | + | 1.79827i | 0.110690 | + | 0.0596121i | ||||
\(911\) | 10.3048 | − | 17.8485i | 0.341414 | − | 0.591346i | −0.643282 | − | 0.765629i | \(-0.722428\pi\) |
0.984695 | + | 0.174284i | \(0.0557610\pi\) | |||||||
\(912\) | 3.16913 | + | 40.3457i | 0.104940 | + | 1.33598i | ||||
\(913\) | 17.3211 | + | 30.0009i | 0.573243 | + | 0.992887i | ||||
\(914\) | 0.0684243 | + | 2.31190i | 0.00226327 | + | 0.0764710i | ||||
\(915\) | −10.3583 | + | 16.3918i | −0.342436 | + | 0.541896i | ||||
\(916\) | −0.766024 | − | 12.9298i | −0.0253102 | − | 0.427212i | ||||
\(917\) | 6.02815 | 0.199067 | ||||||||
\(918\) | 0.831744 | − | 0.384780i | 0.0274516 | − | 0.0126996i | ||||
\(919\) | − | 53.6801i | − | 1.77074i | −0.464884 | − | 0.885371i | \(-0.653904\pi\) | ||
0.464884 | − | 0.885371i | \(-0.346096\pi\) | |||||||
\(920\) | −6.21562 | − | 2.88707i | −0.204923 | − | 0.0951839i | ||||
\(921\) | 26.0565 | + | 16.4657i | 0.858591 | + | 0.542563i | ||||
\(922\) | 0.339259 | + | 11.4628i | 0.0111729 | + | 0.377508i | ||||
\(923\) | 23.8592 | − | 13.7751i | 0.785336 | − | 0.453414i | ||||
\(924\) | −8.86690 | − | 4.89463i | −0.291699 | − | 0.161021i | ||||
\(925\) | 2.10354 | + | 1.21448i | 0.0691639 | + | 0.0399318i | ||||
\(926\) | 14.7581 | − | 27.4034i | 0.484983 | − | 0.900532i | ||||
\(927\) | 38.2847 | + | 26.3905i | 1.25743 | + | 0.866779i | ||||
\(928\) | 38.0404 | − | 30.2330i | 1.24874 | − | 0.992447i | ||||
\(929\) | 15.9508 | + | 9.20921i | 0.523329 | + | 0.302144i | 0.738296 | − | 0.674477i | \(-0.235631\pi\) |
−0.214966 | + | 0.976621i | \(0.568964\pi\) | |||||||
\(930\) | 6.19497 | + | 3.66289i | 0.203141 | + | 0.120111i | ||||
\(931\) | 16.9519 | + | 29.3615i | 0.555576 | + | 0.962285i | ||||
\(932\) | 13.8494 | + | 6.93815i | 0.453654 | + | 0.227267i | ||||
\(933\) | 1.13459 | − | 28.3760i | 0.0371449 | − | 0.928989i | ||||
\(934\) | −3.46723 | − | 5.61497i | −0.113451 | − | 0.183727i | ||||
\(935\) | −0.333426 | −0.0109042 | ||||||||
\(936\) | 10.2445 | − | 18.1117i | 0.334851 | − | 0.592000i | ||||
\(937\) | −50.9610 | −1.66482 | −0.832412 | − | 0.554157i | \(-0.813041\pi\) | ||||
−0.832412 | + | 0.554157i | \(0.813041\pi\) | |||||||
\(938\) | 1.14924 | + | 1.86112i | 0.0375240 | + | 0.0607678i | ||||
\(939\) | −32.9633 | + | 17.3137i | −1.07572 | + | 0.565010i | ||||
\(940\) | 5.95643 | − | 11.8898i | 0.194277 | − | 0.387802i | ||||
\(941\) | 21.4122 | + | 37.0870i | 0.698018 | + | 1.20900i | 0.969153 | + | 0.246461i | \(0.0792678\pi\) |
−0.271135 | + | 0.962541i | \(0.587399\pi\) | |||||||
\(942\) | 48.7003 | − | 27.4474i | 1.58674 | − | 0.894286i | ||||
\(943\) | 18.3480 | + | 10.5932i | 0.597492 | + | 0.344962i | ||||
\(944\) | 9.95011 | + | 4.26852i | 0.323849 | + | 0.138929i | ||||
\(945\) | −5.64154 | − | 0.679617i | −0.183519 | − | 0.0221080i | ||||
\(946\) | −7.68374 | + | 14.2674i | −0.249820 | + | 0.463874i | ||||
\(947\) | −18.4862 | − | 10.6730i | −0.600720 | − | 0.346826i | 0.168604 | − | 0.985684i | \(-0.446074\pi\) |
−0.769325 | + | 0.638858i | \(0.779407\pi\) | |||||||
\(948\) | −8.28559 | + | 0.159209i | −0.269104 | + | 0.00517086i | ||||
\(949\) | 11.3705 | − | 6.56475i | 0.369102 | − | 0.213101i | ||||
\(950\) | −0.244386 | − | 8.25727i | −0.00792894 | − | 0.267901i | ||||
\(951\) | −22.4005 | + | 11.7657i | −0.726386 | + | 0.381528i | ||||
\(952\) | 0.349843 | + | 0.162497i | 0.0113385 | + | 0.00526656i | ||||
\(953\) | − | 0.717198i | − | 0.0232323i | −0.999933 | − | 0.0116162i | \(-0.996302\pi\) | ||
0.999933 | − | 0.0116162i | \(-0.00369762\pi\) | |||||||
\(954\) | −7.62792 | − | 4.93173i | −0.246963 | − | 0.159671i | ||||
\(955\) | −4.48347 | −0.145082 | ||||||||
\(956\) | 28.9588 | − | 1.71566i | 0.936594 | − | 0.0554884i | ||||
\(957\) | −39.7458 | − | 1.58921i | −1.28480 | − | 0.0513717i | ||||
\(958\) | 0.347370 | + | 11.7368i | 0.0112230 | + | 0.379200i | ||||
\(959\) | 4.88268 | + | 8.45705i | 0.157670 | + | 0.273092i | ||||
\(960\) | 1.90014 | + | 13.7255i | 0.0613267 | + | 0.442989i | ||||
\(961\) | −11.1838 | + | 19.3709i | −0.360768 | + | 0.624868i | ||||
\(962\) | −7.41657 | − | 3.99421i | −0.239120 | − | 0.128778i | ||||
\(963\) | −45.1577 | + | 21.4623i | −1.45519 | + | 0.691614i | ||||
\(964\) | 22.0209 | + | 33.4085i | 0.709246 | + | 1.07602i | ||||
\(965\) | 4.45569 | − | 7.71749i | 0.143434 | − | 0.248435i | ||||
\(966\) | 0.0673389 | − | 6.49019i | 0.00216659 | − | 0.208819i | ||||
\(967\) | 1.20100 | − | 0.693395i | 0.0386214 | − | 0.0222981i | −0.480565 | − | 0.876959i | \(-0.659568\pi\) |
0.519186 | + | 0.854661i | \(0.326235\pi\) | |||||||
\(968\) | −8.91520 | + | 6.26240i | −0.286545 | + | 0.201281i | ||||
\(969\) | −0.674034 | + | 1.06664i | −0.0216531 | + | 0.0342654i | ||||
\(970\) | −18.0794 | + | 11.1640i | −0.580495 | + | 0.358455i | ||||
\(971\) | − | 6.74126i | − | 0.216337i | −0.994133 | − | 0.108169i | \(-0.965501\pi\) | ||
0.994133 | − | 0.108169i | \(-0.0344987\pi\) | |||||||
\(972\) | −4.37025 | + | 30.8691i | −0.140176 | + | 0.990127i | ||||
\(973\) | 16.8208i | 0.539252i | ||||||||
\(974\) | −9.04800 | − | 14.6527i | −0.289917 | − | 0.469502i | ||||
\(975\) | −2.26900 | + | 3.59063i | −0.0726662 | + | 0.114992i | ||||
\(976\) | 5.28743 | + | 44.4669i | 0.169246 | + | 1.42335i | ||||
\(977\) | 45.1870 | − | 26.0887i | 1.44566 | − | 0.834652i | 0.447441 | − | 0.894313i | \(-0.352335\pi\) |
0.998219 | + | 0.0596612i | \(0.0190020\pi\) | |||||||
\(978\) | −42.6124 | − | 0.442124i | −1.36259 | − | 0.0141376i | ||||
\(979\) | 17.8963 | − | 30.9973i | 0.571968 | − | 0.990678i | ||||
\(980\) | 6.38851 | + | 9.69217i | 0.204073 | + | 0.309605i | ||||
\(981\) | 25.9086 | − | 12.3137i | 0.827197 | − | 0.393146i | ||||
\(982\) | −17.4004 | + | 32.3097i | −0.555269 | + | 1.03104i | ||||
\(983\) | −12.0449 | + | 20.8624i | −0.384173 | + | 0.665407i | −0.991654 | − | 0.128927i | \(-0.958847\pi\) |
0.607481 | + | 0.794334i | \(0.292180\pi\) | |||||||
\(984\) | −2.08956 | − | 42.7843i | −0.0666128 | − | 1.36391i | ||||
\(985\) | −6.00737 | − | 10.4051i | −0.191411 | − | 0.331533i | ||||
\(986\) | 1.51430 | − | 0.0448181i | 0.0482252 | − | 0.00142730i | ||||
\(987\) | 12.5842 | + | 0.503170i | 0.400560 | + | 0.0160161i | ||||
\(988\) | 1.69434 | + | 28.5990i | 0.0539043 | + | 0.909855i | ||||
\(989\) | −10.3848 | −0.330218 | ||||||||
\(990\) | 6.15864 | − | 9.52558i | 0.195734 | − | 0.302743i | ||||
\(991\) | 59.3927i | 1.88667i | 0.331840 | + | 0.943336i | \(0.392331\pi\) | ||||
−0.331840 | + | 0.943336i | \(0.607669\pi\) | |||||||
\(992\) | 16.4388 | − | 2.44985i | 0.521934 | − | 0.0777828i | ||||
\(993\) | −47.8842 | + | 25.1507i | −1.51956 | + | 0.798134i | ||||
\(994\) | −17.3670 | + | 0.514003i | −0.550848 | + | 0.0163032i | ||||
\(995\) | −10.7734 | + | 6.22003i | −0.341540 | + | 0.197188i | ||||
\(996\) | 44.8766 | − | 0.862310i | 1.42197 | − | 0.0273233i | ||||
\(997\) | 20.5450 | + | 11.8616i | 0.650665 | + | 0.375662i | 0.788711 | − | 0.614764i | \(-0.210749\pi\) |
−0.138046 | + | 0.990426i | \(0.544082\pi\) | |||||||
\(998\) | 52.6064 | + | 28.3312i | 1.66523 | + | 0.896809i | ||||
\(999\) | 12.5306 | + | 1.50952i | 0.396452 | + | 0.0477592i |
(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 | 360.2.bm.a.11.20 | ✓ | 48 | |
3.2 | odd | 2 | 1080.2.bm.b.251.5 | 48 | |||
4.3 | odd | 2 | 1440.2.cc.a.911.5 | 48 | |||
8.3 | odd | 2 | 360.2.bm.b.11.13 | yes | 48 | ||
8.5 | even | 2 | 1440.2.cc.b.911.5 | 48 | |||
9.4 | even | 3 | 1080.2.bm.a.611.12 | 48 | |||
9.5 | odd | 6 | 360.2.bm.b.131.13 | yes | 48 | ||
12.11 | even | 2 | 4320.2.cc.b.1871.14 | 48 | |||
24.5 | odd | 2 | 4320.2.cc.a.1871.11 | 48 | |||
24.11 | even | 2 | 1080.2.bm.a.251.12 | 48 | |||
36.23 | even | 6 | 1440.2.cc.b.1391.5 | 48 | |||
36.31 | odd | 6 | 4320.2.cc.a.3311.11 | 48 | |||
72.5 | odd | 6 | 1440.2.cc.a.1391.5 | 48 | |||
72.13 | even | 6 | 4320.2.cc.b.3311.14 | 48 | |||
72.59 | even | 6 | inner | 360.2.bm.a.131.20 | yes | 48 | |
72.67 | odd | 6 | 1080.2.bm.b.611.5 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
360.2.bm.a.11.20 | ✓ | 48 | 1.1 | even | 1 | trivial | |
360.2.bm.a.131.20 | yes | 48 | 72.59 | even | 6 | inner | |
360.2.bm.b.11.13 | yes | 48 | 8.3 | odd | 2 | ||
360.2.bm.b.131.13 | yes | 48 | 9.5 | odd | 6 | ||
1080.2.bm.a.251.12 | 48 | 24.11 | even | 2 | |||
1080.2.bm.a.611.12 | 48 | 9.4 | even | 3 | |||
1080.2.bm.b.251.5 | 48 | 3.2 | odd | 2 | |||
1080.2.bm.b.611.5 | 48 | 72.67 | odd | 6 | |||
1440.2.cc.a.911.5 | 48 | 4.3 | odd | 2 | |||
1440.2.cc.a.1391.5 | 48 | 72.5 | odd | 6 | |||
1440.2.cc.b.911.5 | 48 | 8.5 | even | 2 | |||
1440.2.cc.b.1391.5 | 48 | 36.23 | even | 6 | |||
4320.2.cc.a.1871.11 | 48 | 24.5 | odd | 2 | |||
4320.2.cc.a.3311.11 | 48 | 36.31 | odd | 6 | |||
4320.2.cc.b.1871.14 | 48 | 12.11 | even | 2 | |||
4320.2.cc.b.3311.14 | 48 | 72.13 | even | 6 |