Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,2,Mod(3,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.k (of order \(18\), 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: | \(0.606863055362\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 51.6 | ||
Character | \(\chi\) | \(=\) | 76.51 |
Dual form | 76.2.k.a.3.6 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{5}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.719007 | − | 1.21780i | 0.508415 | − | 0.861112i | ||||
\(3\) | 1.09089 | + | 0.397053i | 0.629828 | + | 0.229239i | 0.637156 | − | 0.770734i | \(-0.280111\pi\) |
−0.00732842 | + | 0.999973i | \(0.502333\pi\) | |||||||
\(4\) | −0.966058 | − | 1.75121i | −0.483029 | − | 0.875604i | ||||
\(5\) | 0.615920 | + | 3.49306i | 0.275448 | + | 1.56214i | 0.737535 | + | 0.675309i | \(0.235990\pi\) |
−0.462087 | + | 0.886834i | \(0.652899\pi\) | |||||||
\(6\) | 1.26789 | − | 1.04300i | 0.517614 | − | 0.425804i | ||||
\(7\) | −3.53555 | − | 2.04125i | −1.33631 | − | 0.771521i | −0.350055 | − | 0.936729i | \(-0.613837\pi\) |
−0.986259 | + | 0.165208i | \(0.947170\pi\) | |||||||
\(8\) | −2.82722 | − | 0.0826699i | −0.999573 | − | 0.0292282i | ||||
\(9\) | −1.26573 | − | 1.06208i | −0.421911 | − | 0.354026i | ||||
\(10\) | 4.69669 | + | 1.76147i | 1.48522 | + | 0.557025i | ||||
\(11\) | 0.260098 | − | 0.150167i | 0.0784224 | − | 0.0452772i | −0.460276 | − | 0.887776i | \(-0.652250\pi\) |
0.538698 | + | 0.842499i | \(0.318916\pi\) | |||||||
\(12\) | −0.358544 | − | 2.29396i | −0.103503 | − | 0.662209i | ||||
\(13\) | 0.546397 | + | 1.50121i | 0.151543 | + | 0.416362i | 0.992114 | − | 0.125340i | \(-0.0400023\pi\) |
−0.840570 | + | 0.541702i | \(0.817780\pi\) | |||||||
\(14\) | −5.02792 | + | 2.83791i | −1.34377 | + | 0.758463i | ||||
\(15\) | −0.715025 | + | 4.05511i | −0.184619 | + | 1.04702i | ||||
\(16\) | −2.13347 | + | 3.38354i | −0.533366 | + | 0.845884i | ||||
\(17\) | 3.58623 | − | 3.00920i | 0.869788 | − | 0.729839i | −0.0942656 | − | 0.995547i | \(-0.530050\pi\) |
0.964053 | + | 0.265708i | \(0.0856058\pi\) | |||||||
\(18\) | −2.20347 | + | 0.777766i | −0.519362 | + | 0.183321i | ||||
\(19\) | 3.34958 | + | 2.78932i | 0.768447 | + | 0.639914i | ||||
\(20\) | 5.52206 | − | 4.45310i | 1.23477 | − | 0.995743i | ||||
\(21\) | −3.04643 | − | 3.63059i | −0.664785 | − | 0.792260i | ||||
\(22\) | 0.00413863 | − | 0.424718i | 0.000882360 | − | 0.0905501i | ||||
\(23\) | 3.07108 | + | 0.541514i | 0.640365 | + | 0.112914i | 0.484397 | − | 0.874849i | \(-0.339039\pi\) |
0.155968 | + | 0.987762i | \(0.450150\pi\) | |||||||
\(24\) | −3.05137 | − | 1.21274i | −0.622859 | − | 0.247549i | ||||
\(25\) | −7.12363 | + | 2.59279i | −1.42473 | + | 0.518558i | ||||
\(26\) | 2.22104 | + | 0.413983i | 0.435581 | + | 0.0811887i | ||||
\(27\) | −2.70044 | − | 4.67730i | −0.519700 | − | 0.900146i | ||||
\(28\) | −0.159112 | + | 8.16346i | −0.0300693 | + | 1.54275i | ||||
\(29\) | 0.344669 | − | 0.410760i | 0.0640034 | − | 0.0762762i | −0.733093 | − | 0.680129i | \(-0.761924\pi\) |
0.797096 | + | 0.603852i | \(0.206368\pi\) | |||||||
\(30\) | 4.42419 | + | 3.78641i | 0.807743 | + | 0.691300i | ||||
\(31\) | −2.08054 | + | 3.60361i | −0.373676 | + | 0.647227i | −0.990128 | − | 0.140166i | \(-0.955236\pi\) |
0.616452 | + | 0.787393i | \(0.288570\pi\) | |||||||
\(32\) | 2.58648 | + | 5.03091i | 0.457230 | + | 0.889348i | ||||
\(33\) | 0.343363 | − | 0.0605442i | 0.0597719 | − | 0.0105394i | ||||
\(34\) | −1.08607 | − | 6.53093i | −0.186260 | − | 1.12005i | ||||
\(35\) | 4.95259 | − | 13.6071i | 0.837141 | − | 2.30003i | ||||
\(36\) | −0.637147 | + | 3.24259i | −0.106191 | + | 0.540432i | ||||
\(37\) | − | 2.42729i | − | 0.399044i | −0.979893 | − | 0.199522i | \(-0.936061\pi\) | ||
0.979893 | − | 0.199522i | \(-0.0639389\pi\) | |||||||
\(38\) | 5.80520 | − | 2.07357i | 0.941727 | − | 0.336378i | ||||
\(39\) | 1.85461i | 0.296976i | ||||||||
\(40\) | −1.45257 | − | 9.92656i | −0.229672 | − | 1.56953i | ||||
\(41\) | 2.70395 | − | 7.42905i | 0.422286 | − | 1.16022i | −0.528109 | − | 0.849177i | \(-0.677099\pi\) |
0.950395 | − | 0.311045i | \(-0.100679\pi\) | |||||||
\(42\) | −6.61173 | + | 1.09951i | −1.02021 | + | 0.169658i | ||||
\(43\) | −2.23149 | + | 0.393472i | −0.340299 | + | 0.0600039i | −0.341186 | − | 0.939996i | \(-0.610829\pi\) |
0.000887115 | 1.00000i | \(0.499718\pi\) | ||||||||
\(44\) | −0.514244 | − | 0.310415i | −0.0775252 | − | 0.0467968i | ||||
\(45\) | 2.93031 | − | 5.07544i | 0.436824 | − | 0.756602i | ||||
\(46\) | 2.86758 | − | 3.35060i | 0.422802 | − | 0.494019i | ||||
\(47\) | −2.11323 | + | 2.51844i | −0.308246 | + | 0.367353i | −0.897821 | − | 0.440360i | \(-0.854851\pi\) |
0.589575 | + | 0.807713i | \(0.299295\pi\) | |||||||
\(48\) | −3.67083 | + | 2.84398i | −0.529838 | + | 0.410493i | ||||
\(49\) | 4.83342 | + | 8.37173i | 0.690489 | + | 1.19596i | ||||
\(50\) | −1.96445 | + | 10.5394i | −0.277815 | + | 1.49049i | ||||
\(51\) | 5.10701 | − | 1.85880i | 0.715124 | − | 0.260284i | ||||
\(52\) | 2.10109 | − | 2.40712i | 0.291369 | − | 0.333807i | ||||
\(53\) | −5.12508 | − | 0.903690i | −0.703984 | − | 0.124131i | −0.189814 | − | 0.981820i | \(-0.560789\pi\) |
−0.514169 | + | 0.857689i | \(0.671900\pi\) | |||||||
\(54\) | −7.63763 | − | 0.0744244i | −1.03935 | − | 0.0101279i | ||||
\(55\) | 0.684743 | + | 0.816045i | 0.0923307 | + | 0.110035i | ||||
\(56\) | 9.82703 | + | 6.06335i | 1.31319 | + | 0.810249i | ||||
\(57\) | 2.54653 | + | 4.37281i | 0.337296 | + | 0.579193i | ||||
\(58\) | −0.252403 | − | 0.715076i | −0.0331422 | − | 0.0938941i | ||||
\(59\) | −4.17166 | + | 3.50044i | −0.543104 | + | 0.455719i | −0.872598 | − | 0.488439i | \(-0.837566\pi\) |
0.329494 | + | 0.944158i | \(0.393122\pi\) | |||||||
\(60\) | 7.79210 | − | 2.66531i | 1.00596 | − | 0.344090i | ||||
\(61\) | −0.594383 | + | 3.37091i | −0.0761029 | + | 0.431601i | 0.922821 | + | 0.385228i | \(0.125877\pi\) |
−0.998924 | + | 0.0463728i | \(0.985234\pi\) | |||||||
\(62\) | 2.89253 | + | 5.12470i | 0.367352 | + | 0.650837i | ||||
\(63\) | 2.30710 | + | 6.33871i | 0.290668 | + | 0.798603i | ||||
\(64\) | 7.98633 | + | 0.467452i | 0.998291 | + | 0.0584315i | ||||
\(65\) | −4.90729 | + | 2.83323i | −0.608675 | + | 0.351418i | ||||
\(66\) | 0.173150 | − | 0.461679i | 0.0213133 | − | 0.0568287i | ||||
\(67\) | −5.29646 | − | 4.44426i | −0.647066 | − | 0.542953i | 0.259113 | − | 0.965847i | \(-0.416570\pi\) |
−0.906179 | + | 0.422894i | \(0.861014\pi\) | |||||||
\(68\) | −8.73424 | − | 3.37317i | −1.05918 | − | 0.409057i | ||||
\(69\) | 3.13521 | + | 1.81012i | 0.377435 | + | 0.217912i | ||||
\(70\) | −13.0098 | − | 15.8149i | −1.55497 | − | 1.89024i | ||||
\(71\) | 0.743257 | + | 4.21522i | 0.0882084 | + | 0.500254i | 0.996618 | + | 0.0821733i | \(0.0261861\pi\) |
−0.908410 | + | 0.418081i | \(0.862703\pi\) | |||||||
\(72\) | 3.49071 | + | 3.10736i | 0.411384 | + | 0.366206i | ||||
\(73\) | −8.50411 | − | 3.09524i | −0.995331 | − | 0.362271i | −0.207549 | − | 0.978225i | \(-0.566549\pi\) |
−0.787782 | + | 0.615954i | \(0.788771\pi\) | |||||||
\(74\) | −2.95595 | − | 1.74524i | −0.343622 | − | 0.202880i | ||||
\(75\) | −8.80060 | −1.01621 | ||||||||
\(76\) | 1.64879 | − | 8.56046i | 0.189129 | − | 0.981952i | ||||
\(77\) | −1.22612 | −0.139729 | ||||||||
\(78\) | 2.25854 | + | 1.33348i | 0.255730 | + | 0.150987i | ||||
\(79\) | −0.187126 | − | 0.0681083i | −0.0210533 | − | 0.00766278i | 0.331472 | − | 0.943465i | \(-0.392455\pi\) |
−0.352525 | + | 0.935802i | \(0.614677\pi\) | |||||||
\(80\) | −13.1329 | − | 5.36833i | −1.46831 | − | 0.600197i | ||||
\(81\) | −0.228002 | − | 1.29306i | −0.0253336 | − | 0.143674i | ||||
\(82\) | −7.10291 | − | 8.63440i | −0.784385 | − | 0.953510i | ||||
\(83\) | 12.9034 | + | 7.44977i | 1.41633 | + | 0.817719i | 0.995974 | − | 0.0896401i | \(-0.0285717\pi\) |
0.420356 | + | 0.907359i | \(0.361905\pi\) | |||||||
\(84\) | −3.41490 | + | 8.84229i | −0.372596 | + | 0.964773i | ||||
\(85\) | 12.7201 | + | 10.6735i | 1.37969 | + | 1.15770i | ||||
\(86\) | −1.12529 | + | 3.00041i | −0.121343 | + | 0.323543i | ||||
\(87\) | 0.539091 | − | 0.311244i | 0.0577966 | − | 0.0333689i | ||||
\(88\) | −0.747767 | + | 0.403054i | −0.0797123 | + | 0.0429657i | ||||
\(89\) | 2.26220 | + | 6.21534i | 0.239793 | + | 0.658825i | 0.999959 | + | 0.00909600i | \(0.00289539\pi\) |
−0.760166 | + | 0.649729i | \(0.774882\pi\) | |||||||
\(90\) | −4.07394 | − | 7.21779i | −0.429431 | − | 0.760822i | ||||
\(91\) | 1.13254 | − | 6.42296i | 0.118723 | − | 0.673309i | ||||
\(92\) | −2.01854 | − | 5.90124i | −0.210447 | − | 0.615247i | ||||
\(93\) | −3.70047 | + | 3.10507i | −0.383721 | + | 0.321980i | ||||
\(94\) | 1.54753 | + | 4.38426i | 0.159615 | + | 0.452202i | ||||
\(95\) | −7.68017 | + | 13.4183i | −0.787969 | + | 1.37669i | ||||
\(96\) | 0.824040 | + | 6.51517i | 0.0841033 | + | 0.664951i | ||||
\(97\) | 3.90012 | + | 4.64798i | 0.395997 | + | 0.471931i | 0.926795 | − | 0.375567i | \(-0.122552\pi\) |
−0.530798 | + | 0.847498i | \(0.678108\pi\) | |||||||
\(98\) | 13.6703 | + | 0.133210i | 1.38091 | + | 0.0134562i | ||||
\(99\) | −0.488704 | − | 0.0861717i | −0.0491166 | − | 0.00866058i | ||||
\(100\) | 11.4224 | + | 9.97018i | 1.14224 | + | 0.997018i | ||||
\(101\) | 5.15199 | − | 1.87517i | 0.512642 | − | 0.186586i | −0.0727293 | − | 0.997352i | \(-0.523171\pi\) |
0.585371 | + | 0.810765i | \(0.300949\pi\) | |||||||
\(102\) | 1.40834 | − | 7.55579i | 0.139446 | − | 0.748134i | ||||
\(103\) | −9.18625 | − | 15.9110i | −0.905148 | − | 1.56776i | −0.820719 | − | 0.571333i | \(-0.806427\pi\) |
−0.0844294 | − | 0.996429i | \(-0.526907\pi\) | |||||||
\(104\) | −1.42068 | − | 4.28943i | −0.139309 | − | 0.420613i | ||||
\(105\) | 10.8055 | − | 12.8775i | 1.05451 | − | 1.25672i | ||||
\(106\) | −4.78548 | + | 5.59155i | −0.464807 | + | 0.543099i | ||||
\(107\) | 8.31778 | − | 14.4068i | 0.804110 | − | 1.39276i | −0.112780 | − | 0.993620i | \(-0.535975\pi\) |
0.916890 | − | 0.399140i | \(-0.130691\pi\) | |||||||
\(108\) | −5.58215 | + | 9.24757i | −0.537142 | + | 0.889848i | ||||
\(109\) | −8.39330 | + | 1.47996i | −0.803932 | + | 0.141755i | −0.560491 | − | 0.828161i | \(-0.689387\pi\) |
−0.243441 | + | 0.969916i | \(0.578276\pi\) | |||||||
\(110\) | 1.48611 | − | 0.247136i | 0.141695 | − | 0.0235635i | ||||
\(111\) | 0.963763 | − | 2.64792i | 0.0914763 | − | 0.251329i | ||||
\(112\) | 14.4496 | − | 7.60773i | 1.36536 | − | 0.718863i | ||||
\(113\) | − | 10.6541i | − | 1.00226i | −0.865373 | − | 0.501129i | \(-0.832918\pi\) | ||
0.865373 | − | 0.501129i | \(-0.167082\pi\) | |||||||
\(114\) | 7.15617 | + | 0.0429244i | 0.670237 | + | 0.00402024i | ||||
\(115\) | 11.0610i | 1.03144i | ||||||||
\(116\) | −1.05230 | − | 0.206769i | −0.0977033 | − | 0.0191980i | ||||
\(117\) | 0.902812 | − | 2.48046i | 0.0834650 | − | 0.229318i | ||||
\(118\) | 1.26337 | + | 7.59708i | 0.116303 | + | 0.699368i | ||||
\(119\) | −18.8218 | + | 3.31880i | −1.72539 | + | 0.304234i | ||||
\(120\) | 2.35677 | − | 11.4056i | 0.215143 | − | 1.04118i | ||||
\(121\) | −5.45490 | + | 9.44816i | −0.495900 | + | 0.858924i | ||||
\(122\) | 3.67772 | + | 3.14755i | 0.332965 | + | 0.284966i | ||||
\(123\) | 5.89945 | − | 7.03069i | 0.531935 | − | 0.633936i | ||||
\(124\) | 8.32059 | + | 0.162174i | 0.747211 | + | 0.0145637i | ||||
\(125\) | −4.57699 | − | 7.92759i | −0.409379 | − | 0.709065i | ||||
\(126\) | 9.37809 | + | 1.74800i | 0.835466 | + | 0.155724i | ||||
\(127\) | 17.1851 | − | 6.25486i | 1.52493 | − | 0.555029i | 0.562556 | − | 0.826759i | \(-0.309818\pi\) |
0.962373 | + | 0.271730i | \(0.0875959\pi\) | |||||||
\(128\) | 6.31149 | − | 9.38963i | 0.557862 | − | 0.829934i | ||||
\(129\) | −2.59055 | − | 0.456784i | −0.228085 | − | 0.0402176i | ||||
\(130\) | −0.0780841 | + | 8.01319i | −0.00684843 | + | 0.702804i | ||||
\(131\) | 1.78093 | + | 2.12243i | 0.155601 | + | 0.185438i | 0.838213 | − | 0.545343i | \(-0.183601\pi\) |
−0.682612 | + | 0.730781i | \(0.739156\pi\) | |||||||
\(132\) | −0.437735 | − | 0.542812i | −0.0380999 | − | 0.0472457i | ||||
\(133\) | −6.14892 | − | 16.6991i | −0.533179 | − | 1.44800i | ||||
\(134\) | −9.22040 | + | 3.25456i | −0.796521 | + | 0.281151i | ||||
\(135\) | 14.6748 | − | 12.3136i | 1.26301 | − | 1.05979i | ||||
\(136\) | −10.3878 | + | 8.21120i | −0.890748 | + | 0.704104i | ||||
\(137\) | −1.84783 | + | 10.4796i | −0.157871 | + | 0.895330i | 0.798243 | + | 0.602335i | \(0.205763\pi\) |
−0.956114 | + | 0.292995i | \(0.905348\pi\) | |||||||
\(138\) | 4.45860 | − | 2.51657i | 0.379541 | − | 0.214224i | ||||
\(139\) | 6.24308 | + | 17.1527i | 0.529531 | + | 1.45487i | 0.859624 | + | 0.510927i | \(0.170698\pi\) |
−0.330093 | + | 0.943948i | \(0.607080\pi\) | |||||||
\(140\) | −28.6134 | + | 4.47225i | −2.41828 | + | 0.377974i | ||||
\(141\) | −3.30526 | + | 1.90829i | −0.278353 | + | 0.160707i | ||||
\(142\) | 5.66769 | + | 2.12564i | 0.475622 | + | 0.178379i | ||||
\(143\) | 0.367550 | + | 0.308411i | 0.0307361 | + | 0.0257906i | ||||
\(144\) | 6.29398 | − | 2.01675i | 0.524498 | − | 0.168063i | ||||
\(145\) | 1.64710 | + | 0.950952i | 0.136784 | + | 0.0789723i | ||||
\(146\) | −9.88389 | + | 8.13078i | −0.817997 | + | 0.672908i | ||||
\(147\) | 1.94873 | + | 11.0518i | 0.160729 | + | 0.911537i | ||||
\(148\) | −4.25069 | + | 2.34490i | −0.349405 | + | 0.192750i | ||||
\(149\) | 14.1321 | + | 5.14368i | 1.15775 | + | 0.421387i | 0.848293 | − | 0.529527i | \(-0.177630\pi\) |
0.309457 | + | 0.950913i | \(0.399853\pi\) | |||||||
\(150\) | −6.32770 | + | 10.7173i | −0.516654 | + | 0.875068i | ||||
\(151\) | −15.0749 | −1.22678 | −0.613389 | − | 0.789781i | \(-0.710194\pi\) | ||||
−0.613389 | + | 0.789781i | \(0.710194\pi\) | |||||||
\(152\) | −9.23941 | − | 8.16292i | −0.749415 | − | 0.662100i | ||||
\(153\) | −7.73522 | −0.625355 | ||||||||
\(154\) | −0.881588 | + | 1.49316i | −0.0710404 | + | 0.120323i | ||||
\(155\) | −13.8691 | − | 5.04792i | −1.11399 | − | 0.405459i | ||||
\(156\) | 3.24782 | − | 1.79166i | 0.260034 | − | 0.143448i | ||||
\(157\) | −2.81624 | − | 15.9717i | −0.224761 | − | 1.27468i | −0.863142 | − | 0.504961i | \(-0.831507\pi\) |
0.638381 | − | 0.769720i | \(-0.279604\pi\) | |||||||
\(158\) | −0.217487 | + | 0.178911i | −0.0173023 | + | 0.0142334i | ||||
\(159\) | −5.23211 | − | 3.02076i | −0.414933 | − | 0.239562i | ||||
\(160\) | −15.9802 | + | 12.1334i | −1.26335 | + | 0.959228i | ||||
\(161\) | −9.75260 | − | 8.18340i | −0.768613 | − | 0.644942i | ||||
\(162\) | −1.73862 | − | 0.652062i | −0.136599 | − | 0.0512308i | ||||
\(163\) | −5.45589 | + | 3.14996i | −0.427338 | + | 0.246724i | −0.698212 | − | 0.715891i | \(-0.746021\pi\) |
0.270874 | + | 0.962615i | \(0.412687\pi\) | |||||||
\(164\) | −15.6220 | + | 2.44170i | −1.21987 | + | 0.190665i | ||||
\(165\) | 0.422969 | + | 1.16210i | 0.0329281 | + | 0.0904692i | ||||
\(166\) | 18.3499 | − | 10.3573i | 1.42423 | − | 0.803879i | ||||
\(167\) | −0.932562 | + | 5.28882i | −0.0721638 | + | 0.409261i | 0.927231 | + | 0.374489i | \(0.122182\pi\) |
−0.999395 | + | 0.0347725i | \(0.988929\pi\) | |||||||
\(168\) | 8.31278 | + | 10.5163i | 0.641345 | + | 0.811352i | ||||
\(169\) | 8.00348 | − | 6.71572i | 0.615653 | − | 0.516594i | ||||
\(170\) | 22.1440 | − | 7.81625i | 1.69837 | − | 0.599479i | ||||
\(171\) | −1.27721 | − | 7.08805i | −0.0976707 | − | 0.542037i | ||||
\(172\) | 2.84480 | + | 3.52769i | 0.216914 | + | 0.268984i | ||||
\(173\) | −9.95804 | − | 11.8675i | −0.757096 | − | 0.902271i | 0.240565 | − | 0.970633i | \(-0.422667\pi\) |
−0.997661 | + | 0.0683617i | \(0.978223\pi\) | |||||||
\(174\) | 0.00857793 | − | 0.880289i | 0.000650291 | − | 0.0667346i | ||||
\(175\) | 30.4785 | + | 5.37418i | 2.30396 | + | 0.406250i | ||||
\(176\) | −0.0468122 | + | 1.20043i | −0.00352860 | + | 0.0904856i | ||||
\(177\) | −5.94070 | + | 2.16224i | −0.446531 | + | 0.162524i | ||||
\(178\) | 9.19556 | + | 1.71398i | 0.689236 | + | 0.128468i | ||||
\(179\) | 4.09294 | + | 7.08919i | 0.305921 | + | 0.529871i | 0.977466 | − | 0.211093i | \(-0.0677023\pi\) |
−0.671545 | + | 0.740964i | \(0.734369\pi\) | |||||||
\(180\) | −11.7190 | − | 0.228412i | −0.873482 | − | 0.0170248i | ||||
\(181\) | −11.2531 | + | 13.4109i | −0.836434 | + | 0.996823i | 0.163514 | + | 0.986541i | \(0.447717\pi\) |
−0.999947 | + | 0.0102816i | \(0.996727\pi\) | |||||||
\(182\) | −7.00755 | − | 5.99736i | −0.519434 | − | 0.444554i | ||||
\(183\) | −1.98684 | + | 3.44131i | −0.146871 | + | 0.254389i | ||||
\(184\) | −8.63785 | − | 1.78487i | −0.636791 | − | 0.131582i | ||||
\(185\) | 8.47866 | − | 1.49502i | 0.623364 | − | 0.109916i | ||||
\(186\) | 1.12067 | + | 6.73899i | 0.0821717 | + | 0.494127i | ||||
\(187\) | 0.480885 | − | 1.32122i | 0.0351658 | − | 0.0966173i | ||||
\(188\) | 6.45182 | + | 1.26774i | 0.470547 | + | 0.0924593i | ||||
\(189\) | 22.0491i | 1.60384i | ||||||||
\(190\) | 10.8186 | + | 19.0007i | 0.784867 | + | 1.37846i | ||||
\(191\) | − | 5.42765i | − | 0.392731i | −0.980531 | − | 0.196366i | \(-0.937086\pi\) | ||
0.980531 | − | 0.196366i | \(-0.0629139\pi\) | |||||||
\(192\) | 8.52664 | + | 3.68094i | 0.615357 | + | 0.265649i | ||||
\(193\) | −3.00336 | + | 8.25165i | −0.216186 | + | 0.593967i | −0.999622 | − | 0.0275063i | \(-0.991243\pi\) |
0.783435 | + | 0.621473i | \(0.213466\pi\) | |||||||
\(194\) | 8.46451 | − | 1.40762i | 0.607716 | − | 0.101061i | ||||
\(195\) | −6.47828 | + | 1.14230i | −0.463919 | + | 0.0818014i | ||||
\(196\) | 9.99129 | − | 16.5519i | 0.713663 | − | 1.18228i | ||||
\(197\) | 1.49191 | − | 2.58406i | 0.106294 | − | 0.184107i | −0.807972 | − | 0.589221i | \(-0.799435\pi\) |
0.914266 | + | 0.405114i | \(0.132768\pi\) | |||||||
\(198\) | −0.456321 | + | 0.533184i | −0.0324293 | + | 0.0378917i | ||||
\(199\) | −0.554813 | + | 0.661200i | −0.0393297 | + | 0.0468713i | −0.785351 | − | 0.619051i | \(-0.787517\pi\) |
0.746021 | + | 0.665922i | \(0.231962\pi\) | |||||||
\(200\) | 20.3544 | − | 6.74147i | 1.43927 | − | 0.476694i | ||||
\(201\) | −4.01327 | − | 6.95119i | −0.283075 | − | 0.490299i | ||||
\(202\) | 1.42074 | − | 7.62234i | 0.0999629 | − | 0.536306i | ||||
\(203\) | −2.05706 | + | 0.748708i | −0.144377 | + | 0.0525490i | ||||
\(204\) | −8.18881 | − | 7.14773i | −0.573331 | − | 0.500441i | ||||
\(205\) | 27.6155 | + | 4.86936i | 1.92875 | + | 0.340091i | ||||
\(206\) | −25.9814 | − | 0.253174i | −1.81021 | − | 0.0176395i | ||||
\(207\) | −3.31204 | − | 3.94714i | −0.230203 | − | 0.274345i | ||||
\(208\) | −6.24514 | − | 1.35403i | −0.433022 | − | 0.0938853i | ||||
\(209\) | 1.29008 | + | 0.222497i | 0.0892369 | + | 0.0153904i | ||||
\(210\) | −7.91295 | − | 22.4179i | −0.546045 | − | 1.54698i | ||||
\(211\) | −6.79371 | + | 5.70060i | −0.467698 | + | 0.392446i | −0.845954 | − | 0.533256i | \(-0.820968\pi\) |
0.378256 | + | 0.925701i | \(0.376524\pi\) | |||||||
\(212\) | 3.36857 | + | 9.84810i | 0.231355 | + | 0.676371i | ||||
\(213\) | −0.862851 | + | 4.89347i | −0.0591216 | + | 0.335295i | ||||
\(214\) | −11.5640 | − | 20.4880i | −0.790501 | − | 1.40053i | ||||
\(215\) | −2.74884 | − | 7.55238i | −0.187469 | − | 0.515068i | ||||
\(216\) | 7.24806 | + | 13.4470i | 0.493168 | + | 0.914952i | ||||
\(217\) | 14.7117 | − | 8.49382i | 0.998698 | − | 0.576598i | ||||
\(218\) | −4.23254 | + | 11.2854i | −0.286664 | + | 0.764346i | ||||
\(219\) | −8.04811 | − | 6.75317i | −0.543841 | − | 0.456337i | ||||
\(220\) | 0.767564 | − | 1.98747i | 0.0517492 | − | 0.133996i | ||||
\(221\) | 6.47696 | + | 3.73948i | 0.435688 | + | 0.251544i | ||||
\(222\) | −2.53167 | − | 3.07754i | −0.169915 | − | 0.206551i | ||||
\(223\) | −2.08177 | − | 11.8063i | −0.139406 | − | 0.790610i | −0.971690 | − | 0.236260i | \(-0.924078\pi\) |
0.832284 | − | 0.554350i | \(-0.187033\pi\) | |||||||
\(224\) | 1.12472 | − | 23.0667i | 0.0751483 | − | 1.54121i | ||||
\(225\) | 11.7704 | + | 4.28406i | 0.784691 | + | 0.285604i | ||||
\(226\) | −12.9746 | − | 7.66040i | −0.863056 | − | 0.509562i | ||||
\(227\) | −3.59398 | −0.238541 | −0.119270 | − | 0.992862i | \(-0.538056\pi\) | ||||
−0.119270 | + | 0.992862i | \(0.538056\pi\) | |||||||
\(228\) | 5.19761 | − | 8.68390i | 0.344220 | − | 0.575105i | ||||
\(229\) | 8.48334 | 0.560595 | 0.280297 | − | 0.959913i | \(-0.409567\pi\) | ||||
0.280297 | + | 0.959913i | \(0.409567\pi\) | |||||||
\(230\) | 13.4700 | + | 7.95293i | 0.888188 | + | 0.524401i | ||||
\(231\) | −1.33757 | − | 0.486834i | −0.0880054 | − | 0.0320313i | ||||
\(232\) | −1.00841 | + | 1.13282i | −0.0662054 | + | 0.0743730i | ||||
\(233\) | 3.62386 | + | 20.5519i | 0.237407 | + | 1.34640i | 0.837485 | + | 0.546461i | \(0.184025\pi\) |
−0.600078 | + | 0.799942i | \(0.704864\pi\) | |||||||
\(234\) | −2.37156 | − | 2.88291i | −0.155034 | − | 0.188461i | ||||
\(235\) | −10.0987 | − | 5.83046i | −0.658763 | − | 0.380337i | ||||
\(236\) | 10.1601 | + | 3.92383i | 0.661364 | + | 0.255419i | ||||
\(237\) | −0.177092 | − | 0.148598i | −0.0115034 | − | 0.00965247i | ||||
\(238\) | −9.49141 | + | 25.3074i | −0.615237 | + | 1.64044i | ||||
\(239\) | 22.9107 | − | 13.2275i | 1.48197 | − | 0.855617i | 0.482182 | − | 0.876071i | \(-0.339844\pi\) |
0.999791 | + | 0.0204539i | \(0.00651115\pi\) | |||||||
\(240\) | −12.1951 | − | 11.0708i | −0.787192 | − | 0.714614i | ||||
\(241\) | −5.36811 | − | 14.7488i | −0.345790 | − | 0.950051i | −0.983681 | − | 0.179924i | \(-0.942415\pi\) |
0.637890 | − | 0.770127i | \(-0.279807\pi\) | |||||||
\(242\) | 7.58383 | + | 13.4363i | 0.487507 | + | 0.863715i | ||||
\(243\) | −2.54887 | + | 14.4554i | −0.163510 | + | 0.927312i | ||||
\(244\) | 6.47738 | − | 2.21561i | 0.414672 | − | 0.141840i | ||||
\(245\) | −26.2659 | + | 22.0397i | −1.67807 | + | 1.40807i | ||||
\(246\) | −4.32021 | − | 12.2394i | −0.275446 | − | 0.780359i | ||||
\(247\) | −2.35716 | + | 6.55252i | −0.149983 | + | 0.416927i | ||||
\(248\) | 6.18006 | − | 10.0162i | 0.392434 | − | 0.636028i | ||||
\(249\) | 11.1183 | + | 13.2502i | 0.704592 | + | 0.839700i | ||||
\(250\) | −12.9451 | − | 0.126143i | −0.818719 | − | 0.00797796i | ||||
\(251\) | −1.99182 | − | 0.351211i | −0.125722 | − | 0.0221682i | 0.110433 | − | 0.993884i | \(-0.464776\pi\) |
−0.236155 | + | 0.971715i | \(0.575887\pi\) | |||||||
\(252\) | 8.87162 | − | 10.1638i | 0.558859 | − | 0.640258i | ||||
\(253\) | 0.880099 | − | 0.320330i | 0.0553313 | − | 0.0201390i | ||||
\(254\) | 4.73905 | − | 25.4252i | 0.297354 | − | 1.59532i | ||||
\(255\) | 9.63840 | + | 16.6942i | 0.603580 | + | 1.04543i | ||||
\(256\) | −6.89665 | − | 14.4373i | −0.431041 | − | 0.902333i | ||||
\(257\) | −2.96164 | + | 3.52955i | −0.184742 | + | 0.220167i | −0.850465 | − | 0.526032i | \(-0.823679\pi\) |
0.665722 | + | 0.746200i | \(0.268124\pi\) | |||||||
\(258\) | −2.41889 | + | 2.82633i | −0.150594 | + | 0.175960i | ||||
\(259\) | −4.95471 | + | 8.58181i | −0.307871 | + | 0.533248i | ||||
\(260\) | 9.70230 | + | 5.85663i | 0.601711 | + | 0.363213i | ||||
\(261\) | −0.872518 | + | 0.153848i | −0.0540075 | + | 0.00952298i | ||||
\(262\) | 3.86519 | − | 0.642769i | 0.238792 | − | 0.0397104i | ||||
\(263\) | 3.03627 | − | 8.34207i | 0.187224 | − | 0.514394i | −0.810198 | − | 0.586157i | \(-0.800640\pi\) |
0.997422 | + | 0.0717627i | \(0.0228624\pi\) | |||||||
\(264\) | −0.975769 | + | 0.142786i | −0.0600544 | + | 0.00878787i | ||||
\(265\) | − | 18.4588i | − | 1.13392i | ||||||
\(266\) | −24.7573 | − | 4.51865i | −1.51796 | − | 0.277056i | ||||
\(267\) | 7.67849i | 0.469916i | ||||||||
\(268\) | −2.66614 | + | 13.5686i | −0.162860 | + | 0.828836i | ||||
\(269\) | −2.44696 | + | 6.72295i | −0.149193 | + | 0.409906i | −0.991666 | − | 0.128833i | \(-0.958877\pi\) |
0.842473 | + | 0.538739i | \(0.181099\pi\) | |||||||
\(270\) | −4.44420 | − | 26.7245i | −0.270466 | − | 1.62640i | ||||
\(271\) | 31.4126 | − | 5.53889i | 1.90818 | − | 0.336464i | 0.911059 | − | 0.412277i | \(-0.135266\pi\) |
0.997122 | + | 0.0758130i | \(0.0241552\pi\) | |||||||
\(272\) | 2.53066 | + | 18.5542i | 0.153444 | + | 1.12501i | ||||
\(273\) | 3.78574 | − | 6.55709i | 0.229123 | − | 0.396853i | ||||
\(274\) | 11.4334 | + | 9.78517i | 0.690716 | + | 0.591144i | ||||
\(275\) | −1.46349 | + | 1.74412i | −0.0882516 | + | 0.105174i | ||||
\(276\) | 0.141095 | − | 7.23909i | 0.00849293 | − | 0.435742i | ||||
\(277\) | −5.16272 | − | 8.94209i | −0.310198 | − | 0.537278i | 0.668207 | − | 0.743975i | \(-0.267062\pi\) |
−0.978405 | + | 0.206697i | \(0.933729\pi\) | |||||||
\(278\) | 25.3773 | + | 4.73013i | 1.52203 | + | 0.283694i | ||||
\(279\) | 6.46072 | − | 2.35151i | 0.386793 | − | 0.140781i | ||||
\(280\) | −15.1270 | + | 38.0609i | −0.904009 | + | 2.27458i | ||||
\(281\) | −24.7357 | − | 4.36157i | −1.47561 | − | 0.260190i | −0.622787 | − | 0.782391i | \(-0.714000\pi\) |
−0.852822 | + | 0.522202i | \(0.825111\pi\) | |||||||
\(282\) | −0.0525928 | + | 5.39721i | −0.00313186 | + | 0.321399i | ||||
\(283\) | −9.40772 | − | 11.2117i | −0.559231 | − | 0.666465i | 0.410153 | − | 0.912017i | \(-0.365475\pi\) |
−0.969384 | + | 0.245552i | \(0.921031\pi\) | |||||||
\(284\) | 6.66370 | − | 5.37374i | 0.395418 | − | 0.318873i | ||||
\(285\) | −13.7060 | + | 11.5885i | −0.811875 | + | 0.686443i | ||||
\(286\) | 0.639854 | − | 0.225852i | 0.0378353 | − | 0.0133549i | ||||
\(287\) | −24.7245 | + | 20.7463i | −1.45944 | + | 1.22462i | ||||
\(288\) | 2.06942 | − | 9.11485i | 0.121942 | − | 0.537098i | ||||
\(289\) | 0.853710 | − | 4.84163i | 0.0502183 | − | 0.284802i | ||||
\(290\) | 2.34234 | − | 1.32209i | 0.137547 | − | 0.0776357i | ||||
\(291\) | 2.40912 | + | 6.61901i | 0.141225 | + | 0.388013i | ||||
\(292\) | 2.79504 | + | 17.8827i | 0.163568 | + | 1.04650i | ||||
\(293\) | 25.4984 | − | 14.7215i | 1.48963 | − | 0.860039i | 0.489701 | − | 0.871890i | \(-0.337106\pi\) |
0.999930 | + | 0.0118513i | \(0.00377249\pi\) | |||||||
\(294\) | 14.8600 | + | 5.57316i | 0.866652 | + | 0.325034i | ||||
\(295\) | −14.7967 | − | 12.4159i | −0.861494 | − | 0.722880i | ||||
\(296\) | −0.200664 | + | 6.86248i | −0.0116633 | + | 0.398874i | ||||
\(297\) | −1.40476 | − | 0.811036i | −0.0815122 | − | 0.0470611i | ||||
\(298\) | 16.4251 | − | 13.5117i | 0.951479 | − | 0.782714i | ||||
\(299\) | 0.865101 | + | 4.90623i | 0.0500301 | + | 0.283735i | ||||
\(300\) | 8.50189 | + | 15.4117i | 0.490857 | + | 0.889795i | ||||
\(301\) | 8.69273 | + | 3.16390i | 0.501041 | + | 0.182364i | ||||
\(302\) | −10.8390 | + | 18.3582i | −0.623712 | + | 1.05639i | ||||
\(303\) | 6.36482 | 0.365649 | ||||||||
\(304\) | −16.5840 | + | 5.38252i | −0.951157 | + | 0.308709i | ||||
\(305\) | −12.1409 | −0.695185 | ||||||||
\(306\) | −5.56168 | + | 9.41992i | −0.317940 | + | 0.538501i | ||||
\(307\) | 14.8744 | + | 5.41384i | 0.848926 | + | 0.308984i | 0.729602 | − | 0.683872i | \(-0.239705\pi\) |
0.119324 | + | 0.992855i | \(0.461927\pi\) | |||||||
\(308\) | 1.18450 | + | 2.14719i | 0.0674932 | + | 0.122348i | ||||
\(309\) | −3.70369 | − | 21.0047i | −0.210696 | − | 1.19492i | ||||
\(310\) | −16.1193 | + | 13.2602i | −0.915514 | + | 0.753128i | ||||
\(311\) | −11.3865 | − | 6.57399i | −0.645669 | − | 0.372777i | 0.141126 | − | 0.989992i | \(-0.454928\pi\) |
−0.786795 | + | 0.617215i | \(0.788261\pi\) | |||||||
\(312\) | 0.153321 | − | 5.24340i | 0.00868008 | − | 0.296849i | ||||
\(313\) | −15.0193 | − | 12.6027i | −0.848944 | − | 0.712348i | 0.110613 | − | 0.993864i | \(-0.464719\pi\) |
−0.959557 | + | 0.281515i | \(0.909163\pi\) | |||||||
\(314\) | −21.4752 | − | 8.05416i | −1.21192 | − | 0.454523i | ||||
\(315\) | −20.7205 | + | 11.9630i | −1.16747 | + | 0.674038i | ||||
\(316\) | 0.0615026 | + | 0.393493i | 0.00345979 | + | 0.0221357i | ||||
\(317\) | 2.06718 | + | 5.67953i | 0.116104 | + | 0.318994i | 0.984110 | − | 0.177560i | \(-0.0568205\pi\) |
−0.868005 | + | 0.496555i | \(0.834598\pi\) | |||||||
\(318\) | −7.44059 | + | 4.19970i | −0.417248 | + | 0.235507i | ||||
\(319\) | 0.0279647 | − | 0.158596i | 0.00156572 | − | 0.00887966i | ||||
\(320\) | 3.28611 | + | 28.1846i | 0.183699 | + | 1.57557i | ||||
\(321\) | 14.7941 | − | 12.4137i | 0.825726 | − | 0.692866i | ||||
\(322\) | −16.9779 | + | 5.99276i | −0.946142 | + | 0.333963i | ||||
\(323\) | 20.4060 | − | 0.0764404i | 1.13542 | − | 0.00425326i | ||||
\(324\) | −2.04416 | + | 1.64845i | −0.113565 | + | 0.0915808i | ||||
\(325\) | −7.78467 | − | 9.27741i | −0.431816 | − | 0.514618i | ||||
\(326\) | −0.0868132 | + | 8.90900i | −0.00480814 | + | 0.493424i | ||||
\(327\) | −9.74382 | − | 1.71810i | −0.538835 | − | 0.0950111i | ||||
\(328\) | −8.25882 | + | 20.7800i | −0.456017 | + | 1.14738i | ||||
\(329\) | 12.6122 | − | 4.59047i | 0.695333 | − | 0.253081i | ||||
\(330\) | 1.71932 | + | 0.320466i | 0.0946453 | + | 0.0176411i | ||||
\(331\) | 1.83555 | + | 3.17926i | 0.100891 | + | 0.174748i | 0.912052 | − | 0.410075i | \(-0.134497\pi\) |
−0.811161 | + | 0.584823i | \(0.801164\pi\) | |||||||
\(332\) | 0.580696 | − | 29.7934i | 0.0318698 | − | 1.63513i | ||||
\(333\) | −2.57797 | + | 3.07230i | −0.141272 | + | 0.168361i | ||||
\(334\) | 5.77019 | + | 4.93837i | 0.315731 | + | 0.270216i | ||||
\(335\) | 12.2619 | − | 21.2382i | 0.669937 | − | 1.16036i | ||||
\(336\) | 18.7837 | − | 2.56196i | 1.02473 | − | 0.139766i | ||||
\(337\) | −17.7177 | + | 3.12412i | −0.965147 | + | 0.170181i | −0.633945 | − | 0.773378i | \(-0.718565\pi\) |
−0.331202 | + | 0.943560i | \(0.607454\pi\) | |||||||
\(338\) | −2.42382 | − | 14.5753i | −0.131838 | − | 0.792790i | ||||
\(339\) | 4.23026 | − | 11.6225i | 0.229756 | − | 0.631250i | ||||
\(340\) | 6.40308 | − | 32.5868i | 0.347256 | − | 1.76727i | ||||
\(341\) | 1.24972i | 0.0676761i | ||||||||
\(342\) | −9.55013 | − | 3.54098i | −0.516412 | − | 0.191474i | ||||
\(343\) | − | 10.8874i | − | 0.587864i | ||||||
\(344\) | 6.34144 | − | 0.927955i | 0.341908 | − | 0.0500320i | ||||
\(345\) | −4.39180 | + | 12.0664i | −0.236447 | + | 0.649632i | ||||
\(346\) | −21.6121 | + | 3.59403i | −1.16188 | + | 0.193216i | ||||
\(347\) | 16.0384 | − | 2.82801i | 0.860988 | − | 0.151815i | 0.274316 | − | 0.961640i | \(-0.411549\pi\) |
0.586672 | + | 0.809824i | \(0.300438\pi\) | |||||||
\(348\) | −1.06585 | − | 0.643381i | −0.0571353 | − | 0.0344888i | ||||
\(349\) | 5.92019 | − | 10.2541i | 0.316901 | − | 0.548888i | −0.662939 | − | 0.748673i | \(-0.730691\pi\) |
0.979840 | + | 0.199785i | \(0.0640245\pi\) | |||||||
\(350\) | 28.4589 | − | 33.2526i | 1.52119 | − | 1.77742i | ||||
\(351\) | 5.54611 | − | 6.60960i | 0.296030 | − | 0.352794i | ||||
\(352\) | 1.42822 | + | 0.920123i | 0.0761243 | + | 0.0490427i | ||||
\(353\) | 12.9044 | + | 22.3511i | 0.686833 | + | 1.18963i | 0.972857 | + | 0.231408i | \(0.0743331\pi\) |
−0.286023 | + | 0.958223i | \(0.592334\pi\) | |||||||
\(354\) | −1.63824 | + | 8.78923i | −0.0870715 | + | 0.467142i | ||||
\(355\) | −14.2662 | + | 5.19248i | −0.757172 | + | 0.275588i | ||||
\(356\) | 8.69895 | − | 9.96596i | 0.461043 | − | 0.528195i | ||||
\(357\) | −21.8504 | − | 3.85281i | −1.15644 | − | 0.203912i | ||||
\(358\) | 11.5760 | + | 0.112802i | 0.611813 | + | 0.00596177i | ||||
\(359\) | 2.73656 | + | 3.26130i | 0.144430 | + | 0.172125i | 0.833410 | − | 0.552656i | \(-0.186386\pi\) |
−0.688980 | + | 0.724781i | \(0.741941\pi\) | |||||||
\(360\) | −8.70420 | + | 14.1071i | −0.458752 | + | 0.743511i | ||||
\(361\) | 3.43941 | + | 18.6861i | 0.181021 | + | 0.983479i | ||||
\(362\) | 8.24069 | + | 23.3465i | 0.433121 | + | 1.22706i | ||||
\(363\) | −9.70214 | + | 8.14106i | −0.509230 | + | 0.427295i | ||||
\(364\) | −12.3420 | + | 4.22163i | −0.646899 | + | 0.221274i | ||||
\(365\) | 5.57401 | − | 31.6118i | 0.291757 | − | 1.65464i | ||||
\(366\) | 2.76226 | + | 4.89389i | 0.144386 | + | 0.255808i | ||||
\(367\) | −0.887138 | − | 2.43739i | −0.0463082 | − | 0.127231i | 0.914383 | − | 0.404851i | \(-0.132677\pi\) |
−0.960691 | + | 0.277620i | \(0.910454\pi\) | |||||||
\(368\) | −8.38428 | + | 9.23581i | −0.437061 | + | 0.481450i | ||||
\(369\) | −11.3127 | + | 6.53139i | −0.588916 | + | 0.340011i | ||||
\(370\) | 4.27559 | − | 11.4002i | 0.222277 | − | 0.592669i | ||||
\(371\) | 16.2753 | + | 13.6566i | 0.844973 | + | 0.709017i | ||||
\(372\) | 9.01249 | + | 3.48063i | 0.467276 | + | 0.180462i | ||||
\(373\) | −32.6213 | − | 18.8339i | −1.68907 | − | 0.975183i | −0.955233 | − | 0.295854i | \(-0.904396\pi\) |
−0.733833 | − | 0.679330i | \(-0.762271\pi\) | |||||||
\(374\) | −1.26322 | − | 1.53559i | −0.0653195 | − | 0.0794033i | ||||
\(375\) | −1.84534 | − | 10.4655i | −0.0952932 | − | 0.540434i | ||||
\(376\) | 6.18275 | − | 6.94549i | 0.318851 | − | 0.358187i | ||||
\(377\) | 0.804965 | + | 0.292983i | 0.0414578 | + | 0.0150894i | ||||
\(378\) | 26.8513 | + | 15.8535i | 1.38108 | + | 0.815414i | ||||
\(379\) | 17.6837 | 0.908353 | 0.454177 | − | 0.890912i | \(-0.349934\pi\) | ||||
0.454177 | + | 0.890912i | \(0.349934\pi\) | |||||||
\(380\) | 30.9177 | + | 0.486756i | 1.58604 | + | 0.0249701i | ||||
\(381\) | 21.2306 | 1.08768 | ||||||||
\(382\) | −6.60978 | − | 3.90252i | −0.338186 | − | 0.199670i | ||||
\(383\) | −18.5485 | − | 6.75110i | −0.947785 | − | 0.344965i | −0.178549 | − | 0.983931i | \(-0.557140\pi\) |
−0.769235 | + | 0.638966i | \(0.779363\pi\) | |||||||
\(384\) | 10.6133 | − | 7.73709i | 0.541610 | − | 0.394832i | ||||
\(385\) | −0.755191 | − | 4.28290i | −0.0384881 | − | 0.218277i | ||||
\(386\) | 7.88940 | + | 9.59048i | 0.401560 | + | 0.488142i | ||||
\(387\) | 3.24237 | + | 1.87199i | 0.164819 | + | 0.0951584i | ||||
\(388\) | 4.37185 | − | 11.3201i | 0.221947 | − | 0.574693i | ||||
\(389\) | 15.7275 | + | 13.1970i | 0.797418 | + | 0.669113i | 0.947569 | − | 0.319550i | \(-0.103532\pi\) |
−0.150152 | + | 0.988663i | \(0.547976\pi\) | |||||||
\(390\) | −3.26684 | + | 8.71054i | −0.165423 | + | 0.441075i | ||||
\(391\) | 12.6431 | − | 7.29951i | 0.639390 | − | 0.369152i | ||||
\(392\) | −12.9730 | − | 24.0683i | −0.655238 | − | 1.21563i | ||||
\(393\) | 1.10009 | + | 3.02247i | 0.0554922 | + | 0.152463i | ||||
\(394\) | −2.07417 | − | 3.67480i | −0.104495 | − | 0.185134i | ||||
\(395\) | 0.122651 | − | 0.695591i | 0.00617127 | − | 0.0349990i | ||||
\(396\) | 0.321212 | + | 0.939070i | 0.0161415 | + | 0.0471900i | ||||
\(397\) | 4.01047 | − | 3.36518i | 0.201280 | − | 0.168894i | −0.536577 | − | 0.843852i | \(-0.680283\pi\) |
0.737856 | + | 0.674958i | \(0.235838\pi\) | |||||||
\(398\) | 0.406293 | + | 1.15106i | 0.0203656 | + | 0.0576973i | ||||
\(399\) | −0.0773861 | − | 20.6584i | −0.00387415 | − | 1.03421i | ||||
\(400\) | 6.42522 | − | 29.6347i | 0.321261 | − | 1.48174i | ||||
\(401\) | 16.5098 | + | 19.6756i | 0.824458 | + | 0.982550i | 0.999998 | − | 0.00192191i | \(-0.000611762\pi\) |
−0.175541 | + | 0.984472i | \(0.556167\pi\) | |||||||
\(402\) | −11.3507 | − | 0.110606i | −0.566122 | − | 0.00551654i | ||||
\(403\) | −6.54659 | − | 1.15434i | −0.326109 | − | 0.0575018i | ||||
\(404\) | −8.26093 | − | 7.21069i | −0.410997 | − | 0.358745i | ||||
\(405\) | 4.37632 | − | 1.59285i | 0.217461 | − | 0.0791493i | ||||
\(406\) | −0.567266 | + | 3.04341i | −0.0281529 | + | 0.151042i | ||||
\(407\) | −0.364500 | − | 0.631333i | −0.0180676 | − | 0.0312940i | ||||
\(408\) | −14.5923 | + | 4.83303i | −0.722426 | + | 0.239271i | ||||
\(409\) | 15.6062 | − | 18.5987i | 0.771676 | − | 0.919648i | −0.226850 | − | 0.973930i | \(-0.572843\pi\) |
0.998526 | + | 0.0542822i | \(0.0172871\pi\) | |||||||
\(410\) | 25.7856 | − | 30.1290i | 1.27346 | − | 1.48796i | ||||
\(411\) | −6.17673 | + | 10.6984i | −0.304676 | + | 0.527714i | ||||
\(412\) | −18.9891 | + | 31.4580i | −0.935527 | + | 1.54983i | ||||
\(413\) | 21.8944 | − | 3.86058i | 1.07735 | − | 0.189967i | ||||
\(414\) | −7.18819 | + | 1.19537i | −0.353280 | + | 0.0587494i | ||||
\(415\) | −18.0750 | + | 49.6607i | −0.887268 | + | 2.43775i | ||||
\(416\) | −6.13923 | + | 6.63175i | −0.301001 | + | 0.325148i | ||||
\(417\) | 21.1906i | 1.03771i | ||||||||
\(418\) | 1.19854 | − | 1.41108i | 0.0586223 | − | 0.0690183i | ||||
\(419\) | − | 3.51321i | − | 0.171632i | −0.996311 | − | 0.0858159i | \(-0.972650\pi\) | ||
0.996311 | − | 0.0858159i | \(-0.0273497\pi\) | |||||||
\(420\) | −32.9899 | − | 6.48229i | −1.60974 | − | 0.316304i | ||||
\(421\) | −0.483024 | + | 1.32710i | −0.0235412 | + | 0.0646788i | −0.950907 | − | 0.309478i | \(-0.899846\pi\) |
0.927365 | + | 0.374157i | \(0.122068\pi\) | |||||||
\(422\) | 2.05745 | + | 12.3721i | 0.100155 | + | 0.602266i | ||||
\(423\) | 5.34957 | − | 0.943273i | 0.260105 | − | 0.0458635i | ||||
\(424\) | 14.4150 | + | 2.97862i | 0.700055 | + | 0.144655i | ||||
\(425\) | −17.7447 | + | 30.7348i | −0.860746 | + | 1.49086i | ||||
\(426\) | 5.33886 | + | 4.56922i | 0.258668 | + | 0.221379i | ||||
\(427\) | 8.98236 | − | 10.7048i | 0.434687 | − | 0.518039i | ||||
\(428\) | −33.2648 | − | 0.648355i | −1.60792 | − | 0.0313394i | ||||
\(429\) | 0.278503 | + | 0.482381i | 0.0134462 | + | 0.0232896i | ||||
\(430\) | −11.1737 | − | 2.08269i | −0.538844 | − | 0.100436i | ||||
\(431\) | −29.6032 | + | 10.7747i | −1.42594 | + | 0.518998i | −0.935764 | − | 0.352628i | \(-0.885288\pi\) |
−0.490172 | + | 0.871626i | \(0.663066\pi\) | |||||||
\(432\) | 21.5871 | + | 0.841817i | 1.03861 | + | 0.0405019i | ||||
\(433\) | 32.3517 | + | 5.70447i | 1.55472 | + | 0.274139i | 0.883970 | − | 0.467543i | \(-0.154861\pi\) |
0.670751 | + | 0.741683i | \(0.265972\pi\) | |||||||
\(434\) | 0.234091 | − | 24.0230i | 0.0112367 | − | 1.15314i | ||||
\(435\) | 1.41923 | + | 1.69137i | 0.0680469 | + | 0.0810951i | ||||
\(436\) | 10.7001 | + | 13.2687i | 0.512444 | + | 0.635455i | ||||
\(437\) | 8.77638 | + | 10.3801i | 0.419831 | + | 0.496546i | ||||
\(438\) | −14.0106 | + | 4.94539i | −0.669454 | + | 0.236300i | ||||
\(439\) | 1.21027 | − | 1.01554i | 0.0577630 | − | 0.0484689i | −0.613449 | − | 0.789734i | \(-0.710218\pi\) |
0.671212 | + | 0.741265i | \(0.265774\pi\) | |||||||
\(440\) | −1.86846 | − | 2.36375i | −0.0890751 | − | 0.112687i | ||||
\(441\) | 2.77360 | − | 15.7299i | 0.132076 | − | 0.749041i | ||||
\(442\) | 9.21090 | − | 5.19891i | 0.438118 | − | 0.247287i | ||||
\(443\) | 0.331536 | + | 0.910886i | 0.0157517 | + | 0.0432775i | 0.947319 | − | 0.320291i | \(-0.103781\pi\) |
−0.931568 | + | 0.363568i | \(0.881558\pi\) | |||||||
\(444\) | −5.56811 | + | 0.870290i | −0.264251 | + | 0.0413021i | ||||
\(445\) | −20.3172 | + | 11.7301i | −0.963128 | + | 0.556062i | ||||
\(446\) | −15.8745 | − | 5.95365i | −0.751680 | − | 0.281914i | ||||
\(447\) | 13.3744 | + | 11.2224i | 0.632586 | + | 0.530802i | ||||
\(448\) | −27.2819 | − | 17.9548i | −1.28895 | − | 0.848285i | ||||
\(449\) | −18.7171 | − | 10.8063i | −0.883312 | − | 0.509981i | −0.0115631 | − | 0.999933i | \(-0.503681\pi\) |
−0.871749 | + | 0.489953i | \(0.837014\pi\) | |||||||
\(450\) | 13.6801 | − | 11.2536i | 0.644886 | − | 0.530502i | ||||
\(451\) | −0.412309 | − | 2.33832i | −0.0194149 | − | 0.110107i | ||||
\(452\) | −18.6576 | + | 10.2925i | −0.877581 | + | 0.484119i | ||||
\(453\) | −16.4451 | − | 5.98554i | −0.772659 | − | 0.281225i | ||||
\(454\) | −2.58410 | + | 4.37673i | −0.121278 | + | 0.205410i | ||||
\(455\) | 23.1333 | 1.08451 | ||||||||
\(456\) | −6.83810 | − | 12.5734i | −0.320224 | − | 0.588804i | ||||
\(457\) | −14.8816 | −0.696132 | −0.348066 | − | 0.937470i | \(-0.613162\pi\) | ||||
−0.348066 | + | 0.937470i | \(0.613162\pi\) | |||||||
\(458\) | 6.09958 | − | 10.3310i | 0.285015 | − | 0.482735i | ||||
\(459\) | −23.7593 | − | 8.64769i | −1.10899 | − | 0.403639i | ||||
\(460\) | 19.3701 | − | 10.6856i | 0.903136 | − | 0.498217i | ||||
\(461\) | 0.538610 | + | 3.05461i | 0.0250856 | + | 0.142267i | 0.994778 | − | 0.102061i | \(-0.0325437\pi\) |
−0.969693 | + | 0.244328i | \(0.921433\pi\) | |||||||
\(462\) | −1.55458 | + | 1.27885i | −0.0723258 | + | 0.0594973i | ||||
\(463\) | 10.3891 | + | 5.99813i | 0.482821 | + | 0.278757i | 0.721591 | − | 0.692319i | \(-0.243411\pi\) |
−0.238771 | + | 0.971076i | \(0.576744\pi\) | |||||||
\(464\) | 0.654484 | + | 2.04254i | 0.0303836 | + | 0.0948226i | ||||
\(465\) | −13.1254 | − | 11.0135i | −0.608675 | − | 0.510739i | ||||
\(466\) | 27.6337 | + | 10.3639i | 1.28011 | + | 0.480097i | ||||
\(467\) | 6.20648 | − | 3.58331i | 0.287202 | − | 0.165816i | −0.349478 | − | 0.936945i | \(-0.613641\pi\) |
0.636679 | + | 0.771129i | \(0.280308\pi\) | |||||||
\(468\) | −5.21596 | + | 0.815250i | −0.241108 | + | 0.0376850i | ||||
\(469\) | 9.65407 | + | 26.5243i | 0.445783 | + | 1.22478i | ||||
\(470\) | −14.3613 | + | 8.10596i | −0.662438 | + | 0.373900i | ||||
\(471\) | 3.26939 | − | 18.5416i | 0.150646 | − | 0.854354i | ||||
\(472\) | 12.0836 | − | 9.55164i | 0.556192 | − | 0.439650i | ||||
\(473\) | −0.521319 | + | 0.437439i | −0.0239703 | + | 0.0201134i | ||||
\(474\) | −0.308292 | + | 0.108819i | −0.0141603 | + | 0.00499823i | ||||
\(475\) | −31.0933 | − | 11.1853i | −1.42666 | − | 0.513217i | ||||
\(476\) | 23.9949 | + | 29.7548i | 1.09980 | + | 1.36381i | ||||
\(477\) | 5.52720 | + | 6.58706i | 0.253073 | + | 0.301601i | ||||
\(478\) | 0.364552 | − | 37.4113i | 0.0166742 | − | 1.71115i | ||||
\(479\) | −30.0195 | − | 5.29324i | −1.37162 | − | 0.241854i | −0.561192 | − | 0.827686i | \(-0.689657\pi\) |
−0.810433 | + | 0.585831i | \(0.800768\pi\) | |||||||
\(480\) | −22.2503 | + | 6.89124i | −1.01558 | + | 0.314541i | ||||
\(481\) | 3.64388 | − | 1.32627i | 0.166147 | − | 0.0604725i | ||||
\(482\) | −21.8207 | − | 4.06720i | −0.993906 | − | 0.185256i | ||||
\(483\) | −7.38981 | − | 12.7995i | −0.336248 | − | 0.582399i | ||||
\(484\) | 21.8155 | + | 0.425199i | 0.991612 | + | 0.0193272i | ||||
\(485\) | −13.8335 | + | 16.4861i | −0.628147 | + | 0.748597i | ||||
\(486\) | 15.7710 | + | 13.4975i | 0.715388 | + | 0.612259i | ||||
\(487\) | −14.6412 | + | 25.3593i | −0.663455 | + | 1.14914i | 0.316246 | + | 0.948677i | \(0.397577\pi\) |
−0.979702 | + | 0.200461i | \(0.935756\pi\) | |||||||
\(488\) | 1.95912 | − | 9.48117i | 0.0886854 | − | 0.429192i | ||||
\(489\) | −7.20250 | + | 1.26999i | −0.325708 | + | 0.0574311i | ||||
\(490\) | 7.95453 | + | 47.8333i | 0.359349 | + | 2.16089i | ||||
\(491\) | −8.64980 | + | 23.7651i | −0.390360 | + | 1.07250i | 0.576478 | + | 0.817113i | \(0.304427\pi\) |
−0.966838 | + | 0.255392i | \(0.917795\pi\) | |||||||
\(492\) | −18.0114 | − | 3.53912i | −0.812017 | − | 0.159556i | ||||
\(493\) | − | 2.51026i | − | 0.113056i | ||||||
\(494\) | 6.28482 | + | 7.58185i | 0.282767 | + | 0.341124i | ||||
\(495\) | − | 1.76015i | − | 0.0791127i | ||||||
\(496\) | −7.75417 | − | 14.7278i | −0.348172 | − | 0.661296i | ||||
\(497\) | 5.97650 | − | 16.4203i | 0.268083 | − | 0.736551i | ||||
\(498\) | 24.1302 | − | 4.01278i | 1.08130 | − | 0.179817i | ||||
\(499\) | −19.5472 | + | 3.44669i | −0.875052 | + | 0.154295i | −0.593096 | − | 0.805132i | \(-0.702094\pi\) |
−0.281956 | + | 0.959427i | \(0.590983\pi\) | |||||||
\(500\) | −9.46122 | + | 15.6738i | −0.423119 | + | 0.700953i | ||||
\(501\) | −3.11727 | + | 5.39927i | −0.139269 | + | 0.241221i | ||||
\(502\) | −1.85983 | + | 2.17310i | −0.0830084 | + | 0.0969903i | ||||
\(503\) | −10.8354 | + | 12.9131i | −0.483127 | + | 0.575768i | −0.951456 | − | 0.307786i | \(-0.900412\pi\) |
0.468329 | + | 0.883554i | \(0.344856\pi\) | |||||||
\(504\) | −5.99866 | − | 18.1117i | −0.267202 | − | 0.806757i | ||||
\(505\) | 9.72330 | + | 16.8412i | 0.432681 | + | 0.749425i | ||||
\(506\) | 0.242701 | − | 1.30210i | 0.0107894 | − | 0.0578854i | ||||
\(507\) | 11.3974 | − | 4.14833i | 0.506178 | − | 0.184234i | ||||
\(508\) | −27.5553 | − | 24.0521i | −1.22257 | − | 1.06714i | ||||
\(509\) | −5.53279 | − | 0.975580i | −0.245237 | − | 0.0432418i | 0.0496786 | − | 0.998765i | \(-0.484180\pi\) |
−0.294915 | + | 0.955523i | \(0.595291\pi\) | |||||||
\(510\) | 27.2602 | + | 0.265636i | 1.20710 | + | 0.0117625i | ||||
\(511\) | 23.7486 | + | 28.3024i | 1.05057 | + | 1.25203i | ||||
\(512\) | −22.5405 | − | 1.98182i | −0.996157 | − | 0.0875848i | ||||
\(513\) | 4.00113 | − | 23.1994i | 0.176654 | − | 1.02428i | ||||
\(514\) | 2.16883 | + | 6.14445i | 0.0956630 | + | 0.271020i | ||||
\(515\) | 49.9202 | − | 41.8880i | 2.19975 | − | 1.84581i | ||||
\(516\) | 1.70270 | + | 4.97787i | 0.0749570 | + | 0.219139i | ||||
\(517\) | −0.171457 | + | 0.972379i | −0.00754066 | + | 0.0427652i | ||||
\(518\) | 6.88843 | + | 12.2042i | 0.302660 | + | 0.536222i | ||||
\(519\) | −6.15113 | − | 16.9001i | −0.270005 | − | 0.741831i | ||||
\(520\) | 14.1082 | − | 7.60447i | 0.618686 | − | 0.333478i | ||||
\(521\) | 10.7604 | − | 6.21252i | 0.471422 | − | 0.272175i | −0.245413 | − | 0.969419i | \(-0.578924\pi\) |
0.716835 | + | 0.697243i | \(0.245590\pi\) | |||||||
\(522\) | −0.439990 | + | 1.17317i | −0.0192579 | + | 0.0513482i | ||||
\(523\) | 9.51699 | + | 7.98570i | 0.416149 | + | 0.349190i | 0.826696 | − | 0.562649i | \(-0.190218\pi\) |
−0.410547 | + | 0.911839i | \(0.634662\pi\) | |||||||
\(524\) | 1.99634 | − | 5.16917i | 0.0872104 | − | 0.225816i | ||||
\(525\) | 31.1150 | + | 17.9643i | 1.35797 | + | 0.784024i | ||||
\(526\) | −7.97585 | − | 9.69556i | −0.347764 | − | 0.422747i | ||||
\(527\) | 3.38268 | + | 19.1841i | 0.147352 | + | 0.835673i | ||||
\(528\) | −0.527700 | + | 1.29095i | −0.0229652 | + | 0.0561815i | ||||
\(529\) | −12.4746 | − | 4.54039i | −0.542375 | − | 0.197408i | ||||
\(530\) | −22.4791 | − | 13.2720i | −0.976428 | − | 0.576499i | ||||
\(531\) | 8.99795 | 0.390478 | ||||||||
\(532\) | −23.3034 | + | 26.9004i | −1.01033 | + | 1.16628i | ||||
\(533\) | 12.6300 | 0.547067 | ||||||||
\(534\) | 9.35084 | + | 5.52089i | 0.404651 | + | 0.238912i | ||||
\(535\) | 55.4469 | + | 20.1810i | 2.39718 | + | 0.872502i | ||||
\(536\) | 14.6069 | + | 13.0028i | 0.630920 | + | 0.561633i | ||||
\(537\) | 1.65019 | + | 9.35867i | 0.0712108 | + | 0.403856i | ||||
\(538\) | 6.42781 | + | 7.81375i | 0.277123 | + | 0.336875i | ||||
\(539\) | 2.51432 | + | 1.45165i | 0.108300 | + | 0.0625268i | ||||
\(540\) | −35.7405 | − | 13.8030i | −1.53802 | − | 0.593986i | ||||
\(541\) | 1.32512 | + | 1.11191i | 0.0569713 | + | 0.0478046i | 0.670829 | − | 0.741612i | \(-0.265939\pi\) |
−0.613857 | + | 0.789417i | \(0.710383\pi\) | |||||||
\(542\) | 15.8407 | − | 42.2367i | 0.680414 | − | 1.81422i | ||||
\(543\) | −17.6007 | + | 10.1618i | −0.755320 | + | 0.436084i | ||||
\(544\) | 24.4148 | + | 10.2588i | 1.04677 | + | 0.439840i | ||||
\(545\) | −10.3392 | − | 28.4067i | −0.442883 | − | 1.21681i | ||||
\(546\) | −5.26323 | − | 9.32485i | −0.225245 | − | 0.399067i | ||||
\(547\) | 1.45078 | − | 8.22779i | 0.0620309 | − | 0.351795i | −0.937956 | − | 0.346753i | \(-0.887284\pi\) |
0.999987 | − | 0.00504147i | \(-0.00160476\pi\) | |||||||
\(548\) | 20.1370 | − | 6.88793i | 0.860211 | − | 0.294238i | ||||
\(549\) | 4.33250 | − | 3.63540i | 0.184907 | − | 0.155155i | ||||
\(550\) | 1.07172 | + | 3.03626i | 0.0456983 | + | 0.129467i | ||||
\(551\) | 2.30024 | − | 0.414484i | 0.0979934 | − | 0.0176576i | ||||
\(552\) | −8.71429 | − | 5.37678i | −0.370905 | − | 0.228851i | ||||
\(553\) | 0.522568 | + | 0.622772i | 0.0222218 | + | 0.0264829i | ||||
\(554\) | −14.6017 | − | 0.142285i | −0.620366 | − | 0.00604512i | ||||
\(555\) | 9.84293 | + | 1.73557i | 0.417809 | + | 0.0736710i | ||||
\(556\) | 24.0068 | − | 27.5035i | 1.01812 | − | 1.16641i | ||||
\(557\) | −29.6978 | + | 10.8091i | −1.25834 | + | 0.457997i | −0.883210 | − | 0.468977i | \(-0.844623\pi\) |
−0.375126 | + | 0.926974i | \(0.622400\pi\) | |||||||
\(558\) | 1.78164 | − | 9.55860i | 0.0754230 | − | 0.404648i | ||||
\(559\) | −1.80997 | − | 3.13496i | −0.0765535 | − | 0.132594i | ||||
\(560\) | 35.4741 | + | 45.7876i | 1.49905 | + | 1.93488i | ||||
\(561\) | 1.04919 | − | 1.25038i | 0.0442968 | − | 0.0527909i | ||||
\(562\) | −23.0967 | + | 26.9871i | −0.974274 | + | 1.13838i | ||||
\(563\) | 6.50555 | − | 11.2679i | 0.274176 | − | 0.474887i | −0.695751 | − | 0.718283i | \(-0.744928\pi\) |
0.969927 | + | 0.243396i | \(0.0782615\pi\) | |||||||
\(564\) | 6.53490 | + | 3.94468i | 0.275169 | + | 0.166101i | ||||
\(565\) | 37.2155 | − | 6.56210i | 1.56567 | − | 0.276070i | ||||
\(566\) | −20.4178 | + | 3.39541i | −0.858223 | + | 0.142720i | ||||
\(567\) | −1.83336 | + | 5.03711i | −0.0769938 | + | 0.211539i | ||||
\(568\) | −1.75288 | − | 11.9788i | −0.0735491 | − | 0.502619i | ||||
\(569\) | − | 36.1864i | − | 1.51701i | −0.651665 | − | 0.758507i | \(-0.725929\pi\) | ||
0.651665 | − | 0.758507i | \(-0.274071\pi\) | |||||||
\(570\) | 4.25769 | + | 25.0234i | 0.178335 | + | 1.04811i | ||||
\(571\) | − | 45.6728i | − | 1.91135i | −0.294430 | − | 0.955673i | \(-0.595130\pi\) | ||
0.294430 | − | 0.955673i | \(-0.404870\pi\) | |||||||
\(572\) | 0.185018 | − | 0.941600i | 0.00773599 | − | 0.0393703i | ||||
\(573\) | 2.15507 | − | 5.92099i | 0.0900292 | − | 0.247353i | ||||
\(574\) | 7.48771 | + | 45.0262i | 0.312531 | + | 1.87936i | ||||
\(575\) | −23.2813 | + | 4.10512i | −0.970896 | + | 0.171195i | ||||
\(576\) | −9.61210 | − | 9.07377i | −0.400504 | − | 0.378074i | ||||
\(577\) | 7.41053 | − | 12.8354i | 0.308504 | − | 0.534345i | −0.669531 | − | 0.742784i | \(-0.733505\pi\) |
0.978035 | + | 0.208439i | \(0.0668383\pi\) | |||||||
\(578\) | −5.28230 | − | 4.52081i | −0.219715 | − | 0.188041i | ||||
\(579\) | −6.55269 | + | 7.80919i | −0.272320 | + | 0.324539i | ||||
\(580\) | 0.0741249 | − | 3.80309i | 0.00307787 | − | 0.157915i | ||||
\(581\) | −30.4137 | − | 52.6781i | −1.26177 | − | 2.18546i | ||||
\(582\) | 9.79279 | + | 1.82529i | 0.405924 | + | 0.0756609i | ||||
\(583\) | −1.46873 | + | 0.534573i | −0.0608284 | + | 0.0221397i | ||||
\(584\) | 23.7871 | + | 9.45396i | 0.984317 | + | 0.391208i | ||||
\(585\) | 9.22043 | + | 1.62581i | 0.381218 | + | 0.0672190i | ||||
\(586\) | 0.405726 | − | 41.6367i | 0.0167604 | − | 1.72000i | ||||
\(587\) | −27.2045 | − | 32.4211i | −1.12285 | − | 1.33816i | −0.934460 | − | 0.356067i | \(-0.884117\pi\) |
−0.188391 | − | 0.982094i | \(-0.560327\pi\) | |||||||
\(588\) | 17.4714 | − | 14.0893i | 0.720509 | − | 0.581033i | ||||
\(589\) | −17.0206 | + | 6.26728i | −0.701320 | + | 0.258239i | ||||
\(590\) | −25.7589 | + | 9.09222i | −1.06048 | + | 0.374321i | ||||
\(591\) | 2.65352 | − | 2.22657i | 0.109151 | − | 0.0915888i | ||||
\(592\) | 8.21283 | + | 5.17854i | 0.337545 | + | 0.212837i | ||||
\(593\) | −4.25553 | + | 24.1343i | −0.174754 | + | 0.991077i | 0.763674 | + | 0.645602i | \(0.223393\pi\) |
−0.938428 | + | 0.345475i | \(0.887718\pi\) | |||||||
\(594\) | −1.99771 | + | 1.12757i | −0.0819669 | + | 0.0462646i | ||||
\(595\) | −23.1855 | − | 63.7016i | −0.950513 | − | 2.61151i | ||||
\(596\) | −4.64481 | − | 29.7174i | −0.190259 | − | 1.21727i | ||||
\(597\) | −0.867774 | + | 0.501010i | −0.0355156 | + | 0.0205050i | ||||
\(598\) | 6.59681 | + | 2.47410i | 0.269764 | + | 0.101173i | ||||
\(599\) | 3.72253 | + | 3.12357i | 0.152098 | + | 0.127626i | 0.715661 | − | 0.698447i | \(-0.246125\pi\) |
−0.563563 | + | 0.826073i | \(0.690570\pi\) | |||||||
\(600\) | 24.8812 | + | 0.727545i | 1.01577 | + | 0.0297019i | ||||
\(601\) | 13.4093 | + | 7.74187i | 0.546978 | + | 0.315798i | 0.747902 | − | 0.663809i | \(-0.231061\pi\) |
−0.200925 | + | 0.979607i | \(0.564395\pi\) | |||||||
\(602\) | 10.1031 | − | 8.31112i | 0.411772 | − | 0.338736i | ||||
\(603\) | 1.98377 | + | 11.2505i | 0.0807853 | + | 0.458156i | ||||
\(604\) | 14.5632 | + | 26.3993i | 0.592569 | + | 1.07417i | ||||
\(605\) | −36.3628 | − | 13.2350i | −1.47836 | − | 0.538078i | ||||
\(606\) | 4.57635 | − | 7.75105i | 0.185901 | − | 0.314865i | ||||
\(607\) | −18.2620 | −0.741230 | −0.370615 | − | 0.928787i | \(-0.620853\pi\) | ||||
−0.370615 | + | 0.928787i | \(0.620853\pi\) | |||||||
\(608\) | −5.36918 | + | 24.0660i | −0.217749 | + | 0.976005i | ||||
\(609\) | −2.54131 | −0.102979 | ||||||||
\(610\) | −8.72938 | + | 14.7851i | −0.353442 | + | 0.598632i | ||||
\(611\) | −4.93539 | − | 1.79633i | −0.199664 | − | 0.0726719i | ||||
\(612\) | 7.47266 | + | 13.5460i | 0.302065 | + | 0.547564i | ||||
\(613\) | 7.49765 | + | 42.5213i | 0.302827 | + | 1.71742i | 0.633560 | + | 0.773694i | \(0.281593\pi\) |
−0.330732 | + | 0.943725i | \(0.607296\pi\) | |||||||
\(614\) | 17.2877 | − | 14.2214i | 0.697676 | − | 0.573929i | ||||
\(615\) | 28.1922 | + | 16.2768i | 1.13682 | + | 0.656343i | ||||
\(616\) | 3.46651 | + | 0.101363i | 0.139669 | + | 0.00408404i | ||||
\(617\) | −2.81302 | − | 2.36041i | −0.113248 | − | 0.0950264i | 0.584405 | − | 0.811462i | \(-0.301328\pi\) |
−0.697653 | + | 0.716436i | \(0.745772\pi\) | |||||||
\(618\) | −28.2424 | − | 10.5922i | −1.13608 | − | 0.426080i | ||||
\(619\) | 13.5511 | − | 7.82373i | 0.544665 | − | 0.314462i | −0.202303 | − | 0.979323i | \(-0.564842\pi\) |
0.746967 | + | 0.664861i | \(0.231509\pi\) | |||||||
\(620\) | 4.55834 | + | 29.1642i | 0.183067 | + | 1.17126i | ||||
\(621\) | −5.76044 | − | 15.8267i | −0.231159 | − | 0.635103i | ||||
\(622\) | −16.1928 | + | 9.13968i | −0.649270 | + | 0.366468i | ||||
\(623\) | 4.68896 | − | 26.5924i | 0.187859 | − | 1.06540i | ||||
\(624\) | −6.27516 | − | 3.95676i | −0.251207 | − | 0.158397i | ||||
\(625\) | −4.16373 | + | 3.49379i | −0.166549 | + | 0.139751i | ||||
\(626\) | −26.1466 | + | 9.22906i | −1.04503 | + | 0.368867i | ||||
\(627\) | 1.31900 | + | 0.754952i | 0.0526758 | + | 0.0301499i | ||||
\(628\) | −25.2491 | + | 20.3614i | −1.00755 | + | 0.812509i | ||||
\(629\) | −7.30421 | − | 8.70481i | −0.291238 | − | 0.347084i | ||||
\(630\) | −0.329701 | + | 33.8348i | −0.0131356 | + | 1.34801i | ||||
\(631\) | −38.6875 | − | 6.82166i | −1.54013 | − | 0.271566i | −0.661820 | − | 0.749663i | \(-0.730216\pi\) |
−0.878307 | + | 0.478097i | \(0.841327\pi\) | |||||||
\(632\) | 0.523416 | + | 0.208027i | 0.0208204 | + | 0.00827486i | ||||
\(633\) | −9.67466 | + | 3.52129i | −0.384533 | + | 0.139959i | ||||
\(634\) | 8.40283 | + | 1.56622i | 0.333719 | + | 0.0622025i | ||||
\(635\) | 32.4332 | + | 56.1760i | 1.28707 | + | 2.22928i | ||||
\(636\) | −0.235462 | + | 12.0807i | −0.00933669 | + | 0.479033i | ||||
\(637\) | −9.92680 | + | 11.8303i | −0.393314 | + | 0.468733i | ||||
\(638\) | −0.173031 | − | 0.148087i | −0.00685035 | − | 0.00586281i | ||||
\(639\) | 3.53612 | − | 6.12474i | 0.139887 | − | 0.242291i | ||||
\(640\) | 36.6859 | + | 16.2631i | 1.45014 | + | 0.642857i | ||||
\(641\) | −34.0089 | + | 5.99669i | −1.34327 | + | 0.236855i | −0.798635 | − | 0.601816i | \(-0.794444\pi\) |
−0.544638 | + | 0.838671i | \(0.683333\pi\) | |||||||
\(642\) | −4.48033 | − | 26.9417i | −0.176824 | − | 1.06331i | ||||
\(643\) | −8.89830 | + | 24.4479i | −0.350915 | + | 0.964130i | 0.631162 | + | 0.775651i | \(0.282578\pi\) |
−0.982077 | + | 0.188479i | \(0.939644\pi\) | |||||||
\(644\) | −4.90928 | + | 24.9845i | −0.193453 | + | 0.984526i | ||||
\(645\) | − | 9.33028i | − | 0.367380i | ||||||
\(646\) | 14.5790 | − | 24.9053i | 0.573602 | − | 0.979886i | ||||
\(647\) | 29.4173i | 1.15651i | 0.815855 | + | 0.578256i | \(0.196267\pi\) | ||||
−0.815855 | + | 0.578256i | \(0.803733\pi\) | |||||||
\(648\) | 0.537714 | + | 3.67462i | 0.0211234 | + | 0.144353i | ||||
\(649\) | −0.559387 | + | 1.53690i | −0.0219579 | + | 0.0603288i | ||||
\(650\) | −16.8952 | + | 2.80962i | −0.662685 | + | 0.110202i | ||||
\(651\) | 19.4214 | − | 3.42452i | 0.761186 | − | 0.134218i | ||||
\(652\) | 10.7869 | + | 6.51136i | 0.422449 | + | 0.255004i | ||||
\(653\) | 5.77812 | − | 10.0080i | 0.226115 | − | 0.391643i | −0.730538 | − | 0.682872i | \(-0.760731\pi\) |
0.956654 | + | 0.291229i | \(0.0940640\pi\) | |||||||
\(654\) | −9.09817 | + | 10.6307i | −0.355767 | + | 0.415692i | ||||
\(655\) | −6.31686 | + | 7.52814i | −0.246820 | + | 0.294149i | ||||
\(656\) | 19.3677 | + | 24.9985i | 0.756180 | + | 0.976029i | ||||
\(657\) | 7.47656 | + | 12.9498i | 0.291688 | + | 0.505219i | ||||
\(658\) | 3.47801 | − | 18.6597i | 0.135587 | − | 0.727430i | ||||
\(659\) | −7.45091 | + | 2.71191i | −0.290246 | + | 0.105641i | −0.483040 | − | 0.875598i | \(-0.660467\pi\) |
0.192794 | + | 0.981239i | \(0.438245\pi\) | |||||||
\(660\) | 1.62646 | − | 1.86336i | 0.0633100 | − | 0.0725312i | ||||
\(661\) | 8.97455 | + | 1.58246i | 0.349070 | + | 0.0615504i | 0.345434 | − | 0.938443i | \(-0.387732\pi\) |
0.00363550 | + | 0.999993i | \(0.498843\pi\) | |||||||
\(662\) | 5.19146 | + | 0.0505879i | 0.201772 | + | 0.00196615i | ||||
\(663\) | 5.58091 | + | 6.65107i | 0.216745 | + | 0.258306i | ||||
\(664\) | −35.8648 | − | 22.1289i | −1.39183 | − | 0.858766i | ||||
\(665\) | 54.5438 | − | 31.7639i | 2.11512 | − | 1.23175i | ||||
\(666\) | 1.88786 | + | 5.34845i | 0.0731532 | + | 0.207248i | ||||
\(667\) | 1.28094 | − | 1.07483i | 0.0495981 | − | 0.0416178i | ||||
\(668\) | 10.1627 | − | 3.47619i | 0.393208 | − | 0.134498i | ||||
\(669\) | 2.41674 | − | 13.7060i | 0.0934366 | − | 0.529905i | ||||
\(670\) | −17.0474 | − | 30.2028i | −0.658599 | − | 1.16684i | ||||
\(671\) | 0.351604 | + | 0.966024i | 0.0135735 | + | 0.0372929i | ||||
\(672\) | 10.3857 | − | 24.7168i | 0.400636 | − | 0.953471i | ||||
\(673\) | −12.1210 | + | 6.99808i | −0.467231 | + | 0.269756i | −0.715080 | − | 0.699043i | \(-0.753610\pi\) |
0.247849 | + | 0.968799i | \(0.420276\pi\) | |||||||
\(674\) | −8.93465 | + | 23.8229i | −0.344150 | + | 0.917623i | ||||
\(675\) | 31.3642 | + | 26.3177i | 1.20721 | + | 1.01297i | ||||
\(676\) | −19.4925 | − | 7.52800i | −0.749710 | − | 0.289538i | ||||
\(677\) | 38.4118 | + | 22.1771i | 1.47629 | + | 0.852334i | 0.999642 | − | 0.0267620i | \(-0.00851964\pi\) |
0.476644 | + | 0.879096i | \(0.341853\pi\) | |||||||
\(678\) | −11.1123 | − | 13.5083i | −0.426766 | − | 0.518783i | ||||
\(679\) | −4.30138 | − | 24.3943i | −0.165072 | − | 0.936168i | ||||
\(680\) | −35.0803 | − | 31.2278i | −1.34527 | − | 1.19753i | ||||
\(681\) | −3.92065 | − | 1.42700i | −0.150240 | − | 0.0546827i | ||||
\(682\) | 1.52190 | + | 0.898557i | 0.0582767 | + | 0.0344075i | ||||
\(683\) | 31.4233 | 1.20238 | 0.601190 | − | 0.799106i | \(-0.294693\pi\) | ||||
0.601190 | + | 0.799106i | \(0.294693\pi\) | |||||||
\(684\) | −11.1788 | + | 9.08413i | −0.427432 | + | 0.347340i | ||||
\(685\) | −37.7439 | −1.44212 | ||||||||
\(686\) | −13.2586 | − | 7.82812i | −0.506217 | − | 0.298879i | ||||
\(687\) | 9.25442 | + | 3.36833i | 0.353078 | + | 0.128510i | ||||
\(688\) | 3.42948 | − | 8.38979i | 0.130748 | − | 0.319858i | ||||
\(689\) | −1.44370 | − | 8.18762i | −0.0550005 | − | 0.311923i | ||||
\(690\) | 11.5367 | + | 14.0241i | 0.439193 | + | 0.533889i | ||||
\(691\) | 1.99231 | + | 1.15026i | 0.0757911 | + | 0.0437580i | 0.537417 | − | 0.843317i | \(-0.319400\pi\) |
−0.461626 | + | 0.887075i | \(0.652734\pi\) | |||||||
\(692\) | −11.1625 | + | 28.9033i | −0.424334 | + | 1.09874i | ||||
\(693\) | 1.55194 | + | 1.30223i | 0.0589533 | + | 0.0494677i | ||||
\(694\) | 8.08781 | − | 21.5649i | 0.307009 | − | 0.818593i | ||||
\(695\) | −56.0702 | + | 32.3721i | −2.12686 | + | 1.22795i | ||||
\(696\) | −1.54986 | + | 0.835389i | −0.0587472 | + | 0.0316653i | ||||
\(697\) | −12.6585 | − | 34.7790i | −0.479475 | − | 1.31735i | ||||
\(698\) | −8.23072 | − | 14.5823i | −0.311537 | − | 0.551950i | ||||
\(699\) | −4.20696 | + | 23.8589i | −0.159122 | + | 0.902425i | ||||
\(700\) | −20.0327 | − | 58.5660i | −0.757164 | − | 2.21359i | ||||
\(701\) | 21.6513 | − | 18.1676i | 0.817757 | − | 0.686180i | −0.134689 | − | 0.990888i | \(-0.543003\pi\) |
0.952446 | + | 0.304708i | \(0.0985590\pi\) | |||||||
\(702\) | −4.06146 | − | 11.5064i | −0.153290 | − | 0.434281i | ||||
\(703\) | 6.77049 | − | 8.13041i | 0.255354 | − | 0.306644i | ||||
\(704\) | 2.14742 | − | 1.07770i | 0.0809340 | − | 0.0406175i | ||||
\(705\) | −8.70156 | − | 10.3701i | −0.327720 | − | 0.390561i | ||||
\(706\) | 36.4975 | + | 0.355648i | 1.37360 | + | 0.0133850i | ||||
\(707\) | −22.0428 | − | 3.88675i | −0.829006 | − | 0.146176i | ||||
\(708\) | 9.52559 | + | 8.31456i | 0.357994 | + | 0.312480i | ||||
\(709\) | 22.1340 | − | 8.05611i | 0.831259 | − | 0.302553i | 0.108883 | − | 0.994055i | \(-0.465272\pi\) |
0.722375 | + | 0.691501i | \(0.243050\pi\) | |||||||
\(710\) | −3.93413 | + | 21.1068i | −0.147645 | + | 0.792123i | ||||
\(711\) | 0.164516 | + | 0.284949i | 0.00616981 | + | 0.0106864i | ||||
\(712\) | −5.88191 | − | 17.7591i | −0.220434 | − | 0.665552i | ||||
\(713\) | −8.34092 | + | 9.94032i | −0.312370 | + | 0.372268i | ||||
\(714\) | −20.4025 | + | 23.8391i | −0.763545 | + | 0.892156i | ||||
\(715\) | −0.850917 | + | 1.47383i | −0.0318225 | + | 0.0551182i | ||||
\(716\) | 8.46063 | − | 14.0162i | 0.316189 | − | 0.523809i | ||||
\(717\) | 30.2452 | − | 5.33305i | 1.12953 | − | 0.199166i | ||||
\(718\) | 5.93921 | − | 0.987671i | 0.221649 | − | 0.0368596i | ||||
\(719\) | 6.03096 | − | 16.5699i | 0.224917 | − | 0.617954i | −0.774985 | − | 0.631980i | \(-0.782243\pi\) |
0.999902 | + | 0.0140260i | \(0.00446476\pi\) | |||||||
\(720\) | 10.9212 | + | 20.7431i | 0.407010 | + | 0.773049i | ||||
\(721\) | 75.0058i | 2.79336i | ||||||||
\(722\) | 25.2288 | + | 9.24694i | 0.938920 | + | 0.344136i | ||||
\(723\) | − | 18.2208i | − | 0.677638i | ||||||
\(724\) | 34.3564 | + | 6.75078i | 1.27684 | + | 0.250891i | ||||
\(725\) | −1.39028 | + | 3.81976i | −0.0516336 | + | 0.141862i | ||||
\(726\) | 2.93825 | + | 17.6687i | 0.109049 | + | 0.655747i | ||||
\(727\) | 4.39466 | − | 0.774896i | 0.162989 | − | 0.0287393i | −0.0915582 | − | 0.995800i | \(-0.529185\pi\) |
0.254547 | + | 0.967060i | \(0.418074\pi\) | |||||||
\(728\) | −3.73293 | + | 18.0655i | −0.138351 | + | 0.669551i | ||||
\(729\) | −10.4896 | + | 18.1685i | −0.388504 | + | 0.672909i | ||||
\(730\) | −34.4890 | − | 29.5171i | −1.27649 | − | 1.09248i | ||||
\(731\) | −6.81860 | + | 8.12609i | −0.252195 | + | 0.300554i | ||||
\(732\) | 7.94585 | + | 0.154870i | 0.293687 | + | 0.00572418i | ||||
\(733\) | 18.5155 | + | 32.0698i | 0.683886 | + | 1.18453i | 0.973785 | + | 0.227469i | \(0.0730450\pi\) |
−0.289899 | + | 0.957057i | \(0.593622\pi\) | |||||||
\(734\) | −3.60610 | − | 0.672148i | −0.133104 | − | 0.0248094i | ||||
\(735\) | −37.4043 | + | 13.6141i | −1.37968 | + | 0.502162i | ||||
\(736\) | 5.21899 | + | 16.8510i | 0.192374 | + | 0.621135i | ||||
\(737\) | −2.04498 | − | 0.360585i | −0.0753279 | − | 0.0132823i | ||||
\(738\) | −0.180006 | + | 18.4727i | −0.00662611 | + | 0.679989i | ||||
\(739\) | 33.1809 | + | 39.5434i | 1.22058 | + | 1.45463i | 0.850785 | + | 0.525513i | \(0.176127\pi\) |
0.369792 | + | 0.929114i | \(0.379429\pi\) | |||||||
\(740\) | −10.8090 | − | 13.4036i | −0.397346 | − | 0.492728i | ||||
\(741\) | −5.17311 | + | 6.21219i | −0.190039 | + | 0.228210i | ||||
\(742\) | 28.3331 | − | 10.0008i | 1.04014 | − | 0.367142i | ||||
\(743\) | 1.13874 | − | 0.955514i | 0.0417762 | − | 0.0350544i | −0.621660 | − | 0.783287i | \(-0.713542\pi\) |
0.663437 | + | 0.748232i | \(0.269097\pi\) | |||||||
\(744\) | 10.7187 | − | 8.47278i | 0.392968 | − | 0.310627i | ||||
\(745\) | −9.26290 | + | 52.5325i | −0.339366 | + | 1.92464i | ||||
\(746\) | −46.3908 | + | 26.1844i | −1.69849 | + | 0.958679i | ||||
\(747\) | −8.42002 | − | 23.1338i | −0.308073 | − | 0.846423i | ||||
\(748\) | −2.77830 | + | 0.434245i | −0.101585 | + | 0.0158776i | ||||
\(749\) | −58.8159 | + | 33.9574i | −2.14909 | + | 1.24078i | ||||
\(750\) | −14.0716 | − | 5.27749i | −0.513823 | − | 0.192707i | ||||
\(751\) | −24.8869 | − | 20.8826i | −0.908134 | − | 0.762015i | 0.0636288 | − | 0.997974i | \(-0.479733\pi\) |
−0.971763 | + | 0.235958i | \(0.924177\pi\) | |||||||
\(752\) | −4.01276 | − | 12.5232i | −0.146330 | − | 0.456674i | ||||
\(753\) | −2.03341 | − | 1.17399i | −0.0741016 | − | 0.0427826i | ||||
\(754\) | 0.935570 | − | 0.769627i | 0.0340714 | − | 0.0280282i | ||||
\(755\) | −9.28494 | − | 52.6575i | −0.337914 | − | 1.91640i | ||||
\(756\) | 38.6126 | − | 21.3007i | 1.40433 | − | 0.774699i | ||||
\(757\) | −14.9991 | − | 5.45921i | −0.545150 | − | 0.198418i | 0.0547403 | − | 0.998501i | \(-0.482567\pi\) |
−0.599890 | + | 0.800082i | \(0.704789\pi\) | |||||||
\(758\) | 12.7147 | − | 21.5352i | 0.461820 | − | 0.782194i | ||||
\(759\) | 1.08728 | 0.0394659 | ||||||||
\(760\) | 22.8228 | − | 37.3015i | 0.827871 | − | 1.35307i | ||||
\(761\) | 37.3192 | 1.35282 | 0.676410 | − | 0.736526i | \(-0.263535\pi\) | ||||
0.676410 | + | 0.736526i | \(0.263535\pi\) | |||||||
\(762\) | 15.2650 | − | 25.8546i | 0.552991 | − | 0.936612i | ||||
\(763\) | 32.6959 | + | 11.9003i | 1.18367 | + | 0.430821i | ||||
\(764\) | −9.50495 | + | 5.24343i | −0.343877 | + | 0.189700i | ||||
\(765\) | −4.76428 | − | 27.0196i | −0.172253 | − | 0.976894i | ||||
\(766\) | −21.5580 | + | 17.7342i | −0.778922 | + | 0.640763i | ||||
\(767\) | −7.53430 | − | 4.34993i | −0.272048 | − | 0.157067i | ||||
\(768\) | −1.79113 | − | 18.4879i | −0.0646320 | − | 0.667125i | ||||
\(769\) | 0.934238 | + | 0.783919i | 0.0336895 | + | 0.0282688i | 0.659477 | − | 0.751725i | \(-0.270778\pi\) |
−0.625787 | + | 0.779994i | \(0.715222\pi\) | |||||||
\(770\) | −5.75869 | − | 2.15977i | −0.207529 | − | 0.0778326i | ||||
\(771\) | −4.63226 | + | 2.67443i | −0.166827 | + | 0.0963174i | ||||
\(772\) | 17.3518 | − | 2.71207i | 0.624504 | − | 0.0976095i | ||||
\(773\) | 14.4258 | + | 39.6345i | 0.518859 | + | 1.42555i | 0.871778 | + | 0.489901i | \(0.162967\pi\) |
−0.352919 | + | 0.935654i | \(0.614811\pi\) | |||||||
\(774\) | 4.61099 | − | 2.60258i | 0.165738 | − | 0.0935478i | ||||
\(775\) | 5.47763 | − | 31.0652i | 0.196762 | − | 1.11589i | ||||
\(776\) | −10.6422 | − | 13.4633i | −0.382034 | − | 0.483304i | ||||
\(777\) | −8.81250 | + | 7.39457i | −0.316147 | + | 0.265279i | ||||
\(778\) | 27.3794 | − | 9.66423i | 0.981600 | − | 0.346479i | ||||
\(779\) | 29.7791 | − | 17.3420i | 1.06695 | − | 0.621342i | ||||
\(780\) | 8.25879 | + | 10.2413i | 0.295712 | + | 0.366697i | ||||
\(781\) | 0.826308 | + | 0.984756i | 0.0295676 | + | 0.0352373i | ||||
\(782\) | 0.201175 | − | 20.6451i | 0.00719402 | − | 0.738269i | ||||
\(783\) | −2.85200 | − | 0.502885i | −0.101922 | − | 0.0179717i | ||||
\(784\) | −38.6380 | − | 1.50674i | −1.37993 | − | 0.0538121i | ||||
\(785\) | 54.0555 | − | 19.6746i | 1.92932 | − | 0.702217i | ||||
\(786\) | 4.47173 | + | 0.833492i | 0.159501 | + | 0.0297297i | ||||
\(787\) | −18.2059 | − | 31.5336i | −0.648972 | − | 1.12405i | −0.983369 | − | 0.181620i | \(-0.941866\pi\) |
0.334397 | − | 0.942432i | \(-0.391467\pi\) | |||||||
\(788\) | −5.96650 | − | 0.116291i | −0.212548 | − | 0.00414271i | ||||
\(789\) | 6.62449 | − | 7.89476i | 0.235838 | − | 0.281061i | ||||
\(790\) | −0.758901 | − | 0.649499i | −0.0270005 | − | 0.0231082i | ||||
\(791\) | −21.7478 | + | 37.6683i | −0.773262 | + | 1.33933i | ||||
\(792\) | 1.37455 | + | 0.284027i | 0.0488425 | + | 0.0100925i | ||||
\(793\) | −5.38523 | + | 0.949562i | −0.191235 | + | 0.0337199i | ||||
\(794\) | −1.21455 | − | 7.30352i | −0.0431029 | − | 0.259192i | ||||
\(795\) | 7.32912 | − | 20.1366i | 0.259937 | − | 0.714172i | ||||
\(796\) | 1.69388 | + | 0.332836i | 0.0600380 | + | 0.0117971i | ||||
\(797\) | − | 13.4658i | − | 0.476984i | −0.971145 | − | 0.238492i | \(-0.923347\pi\) | ||
0.971145 | − | 0.238492i | \(-0.0766530\pi\) | |||||||
\(798\) | −25.2134 | − | 14.7593i | −0.892545 | − | 0.522474i | ||||
\(799\) | 15.3908i | 0.544489i | ||||||||
\(800\) | −31.4693 | − | 29.1322i | −1.11261 | − | 1.02998i | ||||
\(801\) | 3.73783 | − | 10.2696i | 0.132070 | − | 0.362859i | ||||
\(802\) | 35.8315 | − | 5.95866i | 1.26525 | − | 0.210407i | ||||
\(803\) | −2.67670 | + | 0.471975i | −0.0944588 | + | 0.0166556i | ||||
\(804\) | −8.29594 | + | 13.7433i | −0.292575 | + | 0.484690i | ||||
\(805\) | 22.5783 | − | 39.1067i | 0.795780 | − | 1.37833i | ||||
\(806\) | −6.11279 | + | 7.14243i | −0.215314 | + | 0.251582i | ||||
\(807\) | −5.33874 | + | 6.36246i | −0.187932 | + | 0.223969i | ||||
\(808\) | −14.7208 | + | 4.87560i | −0.517877 | + | 0.171523i | ||||
\(809\) | −9.76161 | − | 16.9076i | −0.343200 | − | 0.594440i | 0.641825 | − | 0.766851i | \(-0.278178\pi\) |
−0.985025 | + | 0.172411i | \(0.944844\pi\) | |||||||
\(810\) | 1.20684 | − | 6.47473i | 0.0424039 | − | 0.227499i | ||||
\(811\) | −28.8297 | + | 10.4931i | −1.01235 | + | 0.368464i | −0.794334 | − | 0.607482i | \(-0.792180\pi\) |
−0.218013 | + | 0.975946i | \(0.569958\pi\) | |||||||
\(812\) | 3.29838 | + | 2.87905i | 0.115751 | + | 0.101035i | ||||
\(813\) | 36.4671 | + | 6.43013i | 1.27896 | + | 0.225514i | ||||
\(814\) | −1.03091 | − | 0.0100457i | −0.0361335 | − | 0.000352100i | ||||
\(815\) | −14.3634 | − | 17.1176i | −0.503127 | − | 0.599604i | ||||
\(816\) | −4.60631 | + | 21.2454i | −0.161253 | + | 0.743739i | ||||
\(817\) | −8.57208 | − | 4.90637i | −0.299899 | − | 0.171652i | ||||
\(818\) | −11.4285 | − | 32.3778i | −0.399588 | − | 1.13206i | ||||
\(819\) | −8.25517 | + | 6.92691i | −0.288459 | + | 0.242046i | ||||
\(820\) | −18.1509 | − | 53.0646i | −0.633857 | − | 1.85310i | ||||
\(821\) | −0.782765 | + | 4.43928i | −0.0273187 | + | 0.154932i | −0.995416 | − | 0.0956441i | \(-0.969509\pi\) |
0.968097 | + | 0.250576i | \(0.0806200\pi\) | |||||||
\(822\) | 8.58738 | + | 15.2142i | 0.299519 | + | 0.530658i | ||||
\(823\) | 12.8016 | + | 35.1722i | 0.446237 | + | 1.22603i | 0.935325 | + | 0.353791i | \(0.115108\pi\) |
−0.489088 | + | 0.872235i | \(0.662670\pi\) | |||||||
\(824\) | 24.6562 | + | 45.7434i | 0.858938 | + | 1.59355i | ||||
\(825\) | −2.28902 | + | 1.32156i | −0.0796933 | + | 0.0460110i | ||||
\(826\) | 11.0408 | − | 29.4387i | 0.384160 | − | 1.02430i | ||||
\(827\) | 9.25002 | + | 7.76169i | 0.321655 | + | 0.269900i | 0.789289 | − | 0.614022i | \(-0.210449\pi\) |
−0.467635 | + | 0.883922i | \(0.654894\pi\) | |||||||
\(828\) | −3.71264 | + | 9.61324i | −0.129023 | + | 0.334083i | ||||
\(829\) | −30.8649 | − | 17.8198i | −1.07198 | − | 0.618909i | −0.143259 | − | 0.989685i | \(-0.545758\pi\) |
−0.928722 | + | 0.370776i | \(0.879092\pi\) | |||||||
\(830\) | 47.4806 | + | 57.7181i | 1.64808 | + | 2.00343i | ||||
\(831\) | −2.08150 | − | 11.8047i | −0.0722063 | − | 0.409502i | ||||
\(832\) | 3.66197 | + | 12.2446i | 0.126956 | + | 0.424506i | ||||
\(833\) | 42.5260 | + | 15.4782i | 1.47344 | + | 0.536288i | ||||
\(834\) | 25.8059 | + | 15.2362i | 0.893585 | + | 0.527587i | ||||
\(835\) | −19.0485 | −0.659202 | ||||||||
\(836\) | −0.856656 | − | 2.47415i | −0.0296281 | − | 0.0855703i | ||||
\(837\) | 22.4735 | 0.776798 | ||||||||
\(838\) | −4.27838 | − | 2.52603i | −0.147794 | − | 0.0872601i | ||||
\(839\) | 35.3858 | + | 12.8794i | 1.22165 | + | 0.444646i | 0.870731 | − | 0.491759i | \(-0.163646\pi\) |
0.350922 | + | 0.936405i | \(0.385868\pi\) | |||||||
\(840\) | −31.6141 | + | 35.5142i | −1.09079 | + | 1.22536i | ||||
\(841\) | 4.98587 | + | 28.2763i | 0.171927 | + | 0.975044i | ||||
\(842\) | 1.26884 | + | 1.54242i | 0.0437270 | + | 0.0531552i | ||||
\(843\) | −25.2523 | − | 14.5794i | −0.869734 | − | 0.502141i | ||||
\(844\) | 16.5461 | + | 6.39010i | 0.569539 | + | 0.219956i | ||||
\(845\) | 28.3879 | + | 23.8203i | 0.976574 | + | 0.819443i | ||||
\(846\) | 2.69766 | − | 7.19290i | 0.0927475 | − | 0.247297i | ||||
\(847\) | 38.5722 | − | 22.2697i | 1.32536 | − | 0.765194i | ||||
\(848\) | 13.9919 | − | 15.4129i | 0.480482 | − | 0.529282i | ||||
\(849\) | −5.81119 | − | 15.9661i | −0.199440 | − | 0.547956i | ||||
\(850\) | 24.6701 | + | 43.7080i | 0.846178 | + | 1.49917i | ||||
\(851\) | 1.31441 | − | 7.45440i | 0.0450575 | − | 0.255534i | ||||
\(852\) | 9.40305 | − | 3.21634i | 0.322143 | − | 0.110190i | ||||
\(853\) | −19.0885 | + | 16.0172i | −0.653578 | + | 0.548417i | −0.908154 | − | 0.418636i | \(-0.862508\pi\) |
0.254576 | + | 0.967053i | \(0.418064\pi\) | |||||||
\(854\) | −6.57784 | − | 18.6355i | −0.225089 | − | 0.637693i | ||||
\(855\) | 23.9723 | − | 8.82704i | 0.819836 | − | 0.301879i | ||||
\(856\) | −24.7072 | + | 40.0436i | −0.844475 | + | 1.36866i | ||||
\(857\) | −17.9448 | − | 21.3858i | −0.612983 | − | 0.730525i | 0.366864 | − | 0.930275i | \(-0.380431\pi\) |
−0.979847 | + | 0.199750i | \(0.935987\pi\) | |||||||
\(858\) | 0.787688 | + | 0.00767557i | 0.0268912 | + | 0.000262040i | ||||
\(859\) | 19.9915 | + | 3.52504i | 0.682100 | + | 0.120273i | 0.503953 | − | 0.863731i | \(-0.331878\pi\) |
0.178147 | + | 0.984004i | \(0.442990\pi\) | |||||||
\(860\) | −10.5703 | + | 12.1098i | −0.360443 | + | 0.412942i | ||||
\(861\) | −35.2092 | + | 12.8151i | −1.19993 | + | 0.436738i | ||||
\(862\) | −8.16354 | + | 43.7977i | −0.278051 | + | 1.49176i | ||||
\(863\) | 5.87734 | + | 10.1799i | 0.200067 | + | 0.346526i | 0.948550 | − | 0.316628i | \(-0.102551\pi\) |
−0.748483 | + | 0.663154i | \(0.769217\pi\) | |||||||
\(864\) | 16.5464 | − | 25.6834i | 0.562921 | − | 0.873768i | ||||
\(865\) | 35.3206 | − | 42.0934i | 1.20094 | − | 1.43122i | ||||
\(866\) | 30.2080 | − | 35.2962i | 1.02651 | − | 1.19941i | ||||
\(867\) | 2.85369 | − | 4.94274i | 0.0969165 | − | 0.167864i | ||||
\(868\) | −29.0868 | − | 17.5578i | −0.987272 | − | 0.595951i | ||||
\(869\) | −0.0588987 | + | 0.0103854i | −0.00199800 | + | 0.000352301i | ||||
\(870\) | 3.08019 | − | 0.512225i | 0.104428 | − | 0.0173661i | ||||
\(871\) | 3.77781 | − | 10.3795i | 0.128006 | − | 0.351695i | ||||
\(872\) | 23.8520 | − | 3.49031i | 0.807732 | − | 0.118197i | ||||
\(873\) | − | 10.0253i | − | 0.339306i | ||||||
\(874\) | 18.9511 | − | 3.22451i | 0.641030 | − | 0.109071i | ||||
\(875\) | 37.3712i | 1.26338i | ||||||||
\(876\) | −4.05127 | + | 20.6179i | −0.136880 | + | 0.696613i | ||||
\(877\) | 1.10391 | − | 3.03297i | 0.0372764 | − | 0.102416i | −0.919658 | − | 0.392720i | \(-0.871534\pi\) |
0.956935 | + | 0.290304i | \(0.0937564\pi\) | |||||||
\(878\) | −0.366525 | − | 2.20404i | −0.0123696 | − | 0.0743827i | ||||
\(879\) | 33.6612 | − | 5.93539i | 1.13537 | − | 0.200196i | ||||
\(880\) | −4.22199 | + | 0.575850i | −0.142323 | + | 0.0194119i | ||||
\(881\) | −1.25716 | + | 2.17746i | −0.0423546 | + | 0.0733604i | −0.886426 | − | 0.462871i | \(-0.846819\pi\) |
0.844071 | + | 0.536232i | \(0.180153\pi\) | |||||||
\(882\) | −17.1615 | − | 14.6876i | −0.577859 | − | 0.494556i | ||||
\(883\) | −32.5538 | + | 38.7961i | −1.09552 | + | 1.30559i | −0.146910 | + | 0.989150i | \(0.546933\pi\) |
−0.948612 | + | 0.316442i | \(0.897512\pi\) | |||||||
\(884\) | 0.291485 | − | 14.9551i | 0.00980370 | − | 0.502993i | ||||
\(885\) | −11.2118 | − | 19.4194i | −0.376881 | − | 0.652778i | ||||
\(886\) | 1.34765 | + | 0.251191i | 0.0452752 | + | 0.00843892i | ||||
\(887\) | 3.33576 | − | 1.21412i | 0.112004 | − | 0.0407661i | −0.285410 | − | 0.958405i | \(-0.592130\pi\) |
0.397414 | + | 0.917639i | \(0.369908\pi\) | |||||||
\(888\) | −2.94367 | + | 7.40657i | −0.0987831 | + | 0.248548i | ||||
\(889\) | −73.5265 | − | 12.9647i | −2.46600 | − | 0.434822i | ||||
\(890\) | −0.323284 | + | 33.1763i | −0.0108365 | + | 1.11207i | ||||
\(891\) | −0.253479 | − | 0.302085i | −0.00849187 | − | 0.0101202i | ||||
\(892\) | −18.6642 | + | 15.0512i | −0.624924 | + | 0.503952i | ||||
\(893\) | −14.1032 | + | 2.54128i | −0.471945 | + | 0.0850406i | ||||
\(894\) | 23.2829 | − | 8.21825i | 0.778696 | − | 0.274859i | ||||
\(895\) | −22.2420 | + | 18.6633i | −0.743468 | + | 0.623844i | ||||
\(896\) | −41.4812 | + | 20.3142i | −1.38579 | + | 0.678649i | ||||
\(897\) | −1.00430 | + | 5.69567i | −0.0335326 | + | 0.190173i | ||||
\(898\) | −26.6176 | + | 15.0238i | −0.888240 | + | 0.501349i | ||||
\(899\) | 0.763120 | + | 2.09665i | 0.0254515 | + | 0.0699273i | ||||
\(900\) | −3.86856 | − | 24.7510i | −0.128952 | − | 0.825034i | ||||
\(901\) | −21.0991 | + | 12.1816i | −0.702913 | + | 0.405827i | ||||
\(902\) | −3.14406 | − | 1.17916i | −0.104686 | − | 0.0392618i | ||||
\(903\) | 8.22662 | + | 6.90295i | 0.273765 | + | 0.229716i | ||||
\(904\) | −0.880777 | + | 30.1216i | −0.0292942 | + | 1.00183i | ||||
\(905\) | −53.7760 | − | 31.0476i | −1.78757 | − | 1.03206i | ||||
\(906\) | −19.1133 | + | 15.7232i | −0.634998 | + | 0.522368i | ||||
\(907\) | −3.97715 | − | 22.5555i | −0.132059 | − | 0.748944i | −0.976863 | − | 0.213867i | \(-0.931394\pi\) |
0.844804 | − | 0.535076i | \(-0.179717\pi\) | |||||||
\(908\) | 3.47199 | + | 6.29380i | 0.115222 | + | 0.208867i | ||||
\(909\) | −8.51263 | − | 3.09834i | −0.282346 | − | 0.102766i | ||||
\(910\) | 16.6330 | − | 28.1717i | 0.551379 | − | 0.933882i | ||||
\(911\) | 21.7119 | 0.719347 | 0.359673 | − | 0.933078i | \(-0.382888\pi\) | ||||
0.359673 | + | 0.933078i | \(0.382888\pi\) | |||||||
\(912\) | −20.2285 | − | 0.712957i | −0.669833 | − | 0.0236084i | ||||
\(913\) | 4.47485 | 0.148096 | ||||||||
\(914\) | −10.7000 | + | 18.1228i | −0.353924 | + | 0.599448i | ||||
\(915\) | −13.2444 | − | 4.82058i | −0.437847 | − | 0.159363i | ||||
\(916\) | −8.19539 | − | 14.8561i | −0.270783 | − | 0.490859i | ||||
\(917\) | −1.96416 | − | 11.1393i | −0.0648622 | − | 0.367852i | ||||
\(918\) | −27.6142 | + | 22.7163i | −0.911406 | + | 0.749749i | ||||
\(919\) | −20.5068 | − | 11.8396i | −0.676457 | − | 0.390552i | 0.122062 | − | 0.992522i | \(-0.461049\pi\) |
−0.798519 | + | 0.601970i | \(0.794383\pi\) | |||||||
\(920\) | 0.914411 | − | 31.2718i | 0.0301472 | − | 1.03100i | ||||
\(921\) | 14.0768 | + | 11.8118i | 0.463847 | + | 0.389213i | ||||
\(922\) | 4.10716 | + | 1.54037i | 0.135262 | + | 0.0507293i | ||||
\(923\) | −5.92183 | + | 3.41897i | −0.194920 | + | 0.112537i | ||||
\(924\) | 0.439617 | + | 2.81267i | 0.0144623 | + | 0.0925299i | ||||
\(925\) | 6.29345 | + | 17.2911i | 0.206927 | + | 0.568529i | ||||
\(926\) | 14.7743 | − | 8.33907i | 0.485514 | − | 0.274039i | ||||
\(927\) | −5.27141 | + | 29.8957i | −0.173136 | + | 0.981903i | ||||
\(928\) | 2.95798 | + | 0.671574i | 0.0971004 | + | 0.0220455i | ||||
\(929\) | −14.5821 | + | 12.2359i | −0.478425 | + | 0.401446i | −0.849856 | − | 0.527014i | \(-0.823311\pi\) |
0.371432 | + | 0.928460i | \(0.378867\pi\) | |||||||
\(930\) | −22.8494 | + | 8.06525i | −0.749263 | + | 0.264470i | ||||
\(931\) | −7.16148 | + | 41.5238i | −0.234708 | + | 1.36089i | ||||
\(932\) | 32.4899 | − | 26.2005i | 1.06424 | − | 0.858226i | ||||
\(933\) | −9.81123 | − | 11.6926i | −0.321205 | − | 0.382798i | ||||
\(934\) | 0.0987565 | − | 10.1347i | 0.00323141 | − | 0.331616i | ||||
\(935\) | 4.91129 | + | 0.865993i | 0.160616 | + | 0.0283210i | ||||
\(936\) | −2.75751 | + | 6.93815i | −0.0901319 | + | 0.226781i | ||||
\(937\) | 28.0788 | − | 10.2198i | 0.917294 | − | 0.333868i | 0.160133 | − | 0.987095i | \(-0.448808\pi\) |
0.757162 | + | 0.653228i | \(0.226586\pi\) | |||||||
\(938\) | 39.2426 | + | 7.31449i | 1.28132 | + | 0.238827i | ||||
\(939\) | −11.3806 | − | 19.7117i | −0.371391 | − | 0.643268i | ||||
\(940\) | −0.454473 | + | 23.3174i | −0.0148233 | + | 0.760530i | ||||
\(941\) | 7.50705 | − | 8.94655i | 0.244723 | − | 0.291649i | −0.629675 | − | 0.776858i | \(-0.716812\pi\) |
0.874398 | + | 0.485209i | \(0.161257\pi\) | |||||||
\(942\) | −20.2292 | − | 17.3130i | −0.659104 | − | 0.564089i | ||||
\(943\) | 12.3270 | − | 21.3510i | 0.401422 | − | 0.695283i | ||||
\(944\) | −2.94377 | − | 21.5830i | −0.0958117 | − | 0.702468i | ||||
\(945\) | −77.0188 | + | 13.5805i | −2.50542 | + | 0.441774i | ||||
\(946\) | 0.157879 | + | 0.949382i | 0.00513310 | + | 0.0308671i | ||||
\(947\) | 4.69128 | − | 12.8892i | 0.152446 | − | 0.418843i | −0.839836 | − | 0.542840i | \(-0.817349\pi\) |
0.992283 | + | 0.123997i | \(0.0395714\pi\) | |||||||
\(948\) | −0.0891448 | + | 0.453679i | −0.00289529 | + | 0.0147348i | ||||
\(949\) | − | 14.4577i | − | 0.469318i | ||||||
\(950\) | −35.9777 | + | 29.8230i | −1.16727 | + | 0.967586i | ||||
\(951\) | 7.01655i | 0.227527i | ||||||||
\(952\) | 53.4878 | − | 7.82697i | 1.73355 | − | 0.253673i | ||||
\(953\) | −3.90387 | + | 10.7258i | −0.126459 | + | 0.347443i | −0.986724 | − | 0.162403i | \(-0.948075\pi\) |
0.860266 | + | 0.509846i | \(0.170298\pi\) | |||||||
\(954\) | 11.9958 | − | 1.99486i | 0.388378 | − | 0.0645861i | ||||
\(955\) | 18.9591 | − | 3.34300i | 0.613502 | − | 0.108177i | ||||
\(956\) | −45.2972 | − | 27.3429i | −1.46502 | − | 0.884334i | ||||
\(957\) | 0.0934775 | − | 0.161908i | 0.00302170 | − | 0.00523373i | ||||
\(958\) | −28.0303 | + | 32.7517i | −0.905618 | + | 1.05816i | ||||
\(959\) | 27.9246 | − | 33.2792i | 0.901731 | − | 1.07464i | ||||
\(960\) | −7.60600 | + | 32.0512i | −0.245482 | + | 1.03445i | ||||
\(961\) | 6.84269 | + | 11.8519i | 0.220732 | + | 0.382319i | ||||
\(962\) | 1.00486 | − | 5.39110i | 0.0323979 | − | 0.173816i | ||||
\(963\) | −25.8293 | + | 9.40108i | −0.832336 | + | 0.302946i | ||||
\(964\) | −20.6423 | + | 23.6488i | −0.664843 | + | 0.761678i | ||||
\(965\) | −30.6733 | − | 5.40854i | −0.987409 | − | 0.174107i | ||||
\(966\) | −20.9005 | − | 0.203664i | −0.672464 | − | 0.00655278i | ||||
\(967\) | 0.279271 | + | 0.332822i | 0.00898075 | + | 0.0107028i | 0.770516 | − | 0.637421i | \(-0.219999\pi\) |
−0.761535 | + | 0.648123i | \(0.775554\pi\) | |||||||
\(968\) | 16.2033 | − | 26.2611i | 0.520793 | − | 0.844063i | ||||
\(969\) | 22.2911 | + | 8.01887i | 0.716094 | + | 0.257603i | ||||
\(970\) | 10.1304 | + | 28.7000i | 0.325266 | + | 0.921503i | ||||
\(971\) | 42.2441 | − | 35.4470i | 1.35568 | − | 1.13755i | 0.378388 | − | 0.925647i | \(-0.376479\pi\) |
0.977291 | − | 0.211902i | \(-0.0679659\pi\) | |||||||
\(972\) | 27.7767 | − | 9.50110i | 0.890938 | − | 0.304748i | ||||
\(973\) | 12.9403 | − | 73.3881i | 0.414847 | − | 2.35271i | ||||
\(974\) | 20.3553 | + | 36.0635i | 0.652227 | + | 1.15555i | ||||
\(975\) | −4.80863 | − | 13.2116i | −0.153999 | − | 0.423110i | ||||
\(976\) | −10.1375 | − | 9.20284i | −0.324494 | − | 0.294576i | ||||
\(977\) | 50.6858 | − | 29.2635i | 1.62158 | − | 0.936221i | 0.635085 | − | 0.772442i | \(-0.280965\pi\) |
0.986497 | − | 0.163779i | \(-0.0523683\pi\) | |||||||
\(978\) | −3.63205 | + | 9.68431i | −0.116140 | + | 0.309670i | ||||
\(979\) | 1.52174 | + | 1.27689i | 0.0486349 | + | 0.0408095i | ||||
\(980\) | 63.9706 | + | 24.7055i | 2.04347 | + | 0.789188i | ||||
\(981\) | 12.1955 | + | 7.04109i | 0.389373 | + | 0.224805i | ||||
\(982\) | 22.7218 | + | 27.6210i | 0.725082 | + | 0.881421i | ||||
\(983\) | 5.85032 | + | 33.1788i | 0.186596 | + | 1.05824i | 0.923887 | + | 0.382665i | \(0.124994\pi\) |
−0.737291 | + | 0.675575i | \(0.763895\pi\) | |||||||
\(984\) | −17.2603 | + | 19.3896i | −0.550237 | + | 0.618118i | ||||
\(985\) | 9.94517 | + | 3.61974i | 0.316879 | + | 0.115335i | ||||
\(986\) | −3.05698 | − | 1.80489i | −0.0973542 | − | 0.0574795i | ||||
\(987\) | 15.5812 | 0.495956 | ||||||||
\(988\) | 13.7520 | − | 2.20223i | 0.437509 | − | 0.0700622i | ||||
\(989\) | −7.06616 | −0.224691 | ||||||||
\(990\) | −2.14350 | − | 1.26556i | −0.0681249 | − | 0.0402221i | ||||
\(991\) | −41.2012 | − | 14.9960i | −1.30880 | − | 0.476364i | −0.408948 | − | 0.912558i | \(-0.634104\pi\) |
−0.899853 | + | 0.436193i | \(0.856326\pi\) | |||||||
\(992\) | −23.5107 | − | 1.14636i | −0.746466 | − | 0.0363971i | ||||
\(993\) | 0.740052 | + | 4.19705i | 0.0234849 | + | 0.133189i | ||||
\(994\) | −15.6994 | − | 19.0845i | −0.497956 | − | 0.605323i | ||||
\(995\) | −2.65133 | − | 1.53075i | −0.0840529 | − | 0.0485279i | ||||
\(996\) | 12.4631 | − | 32.2709i | 0.394907 | − | 1.02254i | ||||
\(997\) | 16.0473 | + | 13.4653i | 0.508224 | + | 0.426451i | 0.860504 | − | 0.509444i | \(-0.170149\pi\) |
−0.352280 | + | 0.935895i | \(0.614593\pi\) | |||||||
\(998\) | −9.85719 | + | 26.2827i | −0.312024 | + | 0.831964i | ||||
\(999\) | −11.3532 | + | 6.55475i | −0.359198 | + | 0.207383i |
(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 | 76.2.k.a.51.6 | yes | 48 | |
3.2 | odd | 2 | 684.2.cf.a.127.3 | 48 | |||
4.3 | odd | 2 | inner | 76.2.k.a.51.2 | yes | 48 | |
12.11 | even | 2 | 684.2.cf.a.127.7 | 48 | |||
19.3 | odd | 18 | inner | 76.2.k.a.3.2 | ✓ | 48 | |
57.41 | even | 18 | 684.2.cf.a.307.7 | 48 | |||
76.3 | even | 18 | inner | 76.2.k.a.3.6 | yes | 48 | |
228.155 | odd | 18 | 684.2.cf.a.307.3 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.2.k.a.3.2 | ✓ | 48 | 19.3 | odd | 18 | inner | |
76.2.k.a.3.6 | yes | 48 | 76.3 | even | 18 | inner | |
76.2.k.a.51.2 | yes | 48 | 4.3 | odd | 2 | inner | |
76.2.k.a.51.6 | yes | 48 | 1.1 | even | 1 | trivial | |
684.2.cf.a.127.3 | 48 | 3.2 | odd | 2 | |||
684.2.cf.a.127.7 | 48 | 12.11 | even | 2 | |||
684.2.cf.a.307.3 | 48 | 228.155 | odd | 18 | |||
684.2.cf.a.307.7 | 48 | 57.41 | even | 18 |