Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(3,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(336))
chi = DirichletCharacter(H, H._module([21, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.bm (of order \(336\), degree \(96\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(6144\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{336})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{336}]$ |
Embedding invariants
Embedding label | 3.6 | ||
Character | \(\chi\) | \(=\) | 731.3 |
Dual form | 731.2.bm.a.244.6 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(e\left(\frac{1}{16}\right)\) | \(e\left(\frac{1}{42}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.131534 | + | 2.34218i | −0.0930087 | + | 1.65617i | 0.511284 | + | 0.859412i | \(0.329170\pi\) |
−0.604293 | + | 0.796762i | \(0.706544\pi\) | |||||||
\(3\) | −2.82542 | − | 0.785456i | −1.63126 | − | 0.453483i | −0.673060 | − | 0.739588i | \(-0.735020\pi\) |
−0.958198 | + | 0.286105i | \(0.907639\pi\) | |||||||
\(4\) | −3.48110 | − | 0.392226i | −1.74055 | − | 0.196113i | ||||
\(5\) | 0.213187 | − | 0.0635828i | 0.0953403 | − | 0.0284351i | −0.237784 | − | 0.971318i | \(-0.576421\pi\) |
0.333124 | + | 0.942883i | \(0.391897\pi\) | |||||||
\(6\) | 2.21132 | − | 6.51434i | 0.902768 | − | 2.65947i | ||||
\(7\) | −0.289512 | + | 4.41709i | −0.109425 | + | 1.66950i | 0.492015 | + | 0.870587i | \(0.336261\pi\) |
−0.601440 | + | 0.798918i | \(0.705406\pi\) | |||||||
\(8\) | 0.590651 | − | 3.47632i | 0.208827 | − | 1.22907i | ||||
\(9\) | 4.79650 | + | 2.89017i | 1.59883 | + | 0.963390i | ||||
\(10\) | 0.120881 | + | 0.507687i | 0.0382260 | + | 0.160545i | ||||
\(11\) | 4.54501 | + | 2.34801i | 1.37037 | + | 0.707951i | 0.977360 | − | 0.211583i | \(-0.0678617\pi\) |
0.393012 | + | 0.919533i | \(0.371433\pi\) | |||||||
\(12\) | 9.52750 | + | 3.84245i | 2.75035 | + | 1.10922i | ||||
\(13\) | 3.48308 | + | 0.130327i | 0.966031 | + | 0.0361463i | 0.515749 | − | 0.856740i | \(-0.327514\pi\) |
0.450282 | + | 0.892886i | \(0.351323\pi\) | |||||||
\(14\) | −10.3076 | − | 1.25909i | −2.75481 | − | 0.336506i | ||||
\(15\) | −0.652286 | + | 0.0121991i | −0.168419 | + | 0.00314980i | ||||
\(16\) | 1.23390 | + | 0.281630i | 0.308476 | + | 0.0704076i | ||||
\(17\) | −1.98366 | + | 3.61456i | −0.481109 | + | 0.876661i | ||||
\(18\) | −7.40021 | + | 10.8541i | −1.74425 | + | 2.55834i | ||||
\(19\) | 0.240597 | + | 0.399292i | 0.0551967 | + | 0.0916039i | 0.882897 | − | 0.469566i | \(-0.155590\pi\) |
−0.827701 | + | 0.561170i | \(0.810351\pi\) | |||||||
\(20\) | −0.767065 | + | 0.137721i | −0.171521 | + | 0.0307953i | ||||
\(21\) | 4.28743 | − | 12.2528i | 0.935593 | − | 2.67377i | ||||
\(22\) | −6.09729 | + | 10.3364i | −1.29995 | + | 2.20373i | ||||
\(23\) | 1.24340 | + | 1.93839i | 0.259268 | + | 0.404183i | 0.946726 | − | 0.322041i | \(-0.104369\pi\) |
−0.687458 | + | 0.726224i | \(0.741274\pi\) | |||||||
\(24\) | −4.39933 | + | 9.35814i | −0.898010 | + | 1.91022i | ||||
\(25\) | −4.14173 | + | 2.71175i | −0.828347 | + | 0.542350i | ||||
\(26\) | −0.763394 | + | 8.14086i | −0.149714 | + | 1.59655i | ||||
\(27\) | −5.23803 | − | 5.54044i | −1.00806 | − | 1.06626i | ||||
\(28\) | 2.74032 | − | 15.2628i | 0.517871 | − | 2.88440i | ||||
\(29\) | 4.97098 | − | 3.88875i | 0.923089 | − | 0.722123i | −0.0377337 | − | 0.999288i | \(-0.512014\pi\) |
0.960822 | + | 0.277165i | \(0.0893948\pi\) | |||||||
\(30\) | 0.0572253 | − | 1.52938i | 0.0104479 | − | 0.279225i | ||||
\(31\) | 2.36101 | + | 5.55256i | 0.424049 | + | 0.997269i | 0.985487 | + | 0.169750i | \(0.0542960\pi\) |
−0.561438 | + | 0.827519i | \(0.689752\pi\) | |||||||
\(32\) | 1.13039 | − | 3.92368i | 0.199827 | − | 0.693615i | ||||
\(33\) | −10.9973 | − | 10.2040i | −1.91439 | − | 1.77629i | ||||
\(34\) | −8.20505 | − | 5.12155i | −1.40715 | − | 0.878338i | ||||
\(35\) | 0.219131 | + | 0.960077i | 0.0370399 | + | 0.162283i | ||||
\(36\) | −15.5635 | − | 11.9423i | −2.59391 | − | 1.99038i | ||||
\(37\) | −6.14887 | − | 5.39242i | −1.01087 | − | 0.886508i | −0.0173123 | − | 0.999850i | \(-0.505511\pi\) |
−0.993556 | + | 0.113342i | \(0.963844\pi\) | |||||||
\(38\) | −0.966863 | + | 0.511002i | −0.156846 | + | 0.0828954i | ||||
\(39\) | −9.73879 | − | 3.10403i | −1.55945 | − | 0.497043i | ||||
\(40\) | −0.0951151 | − | 0.778663i | −0.0150390 | − | 0.123117i | ||||
\(41\) | −0.142036 | + | 0.0837847i | −0.0221822 | + | 0.0130850i | −0.519124 | − | 0.854699i | \(-0.673742\pi\) |
0.496942 | + | 0.867784i | \(0.334456\pi\) | |||||||
\(42\) | 28.1343 | + | 11.6536i | 4.34121 | + | 1.79819i | ||||
\(43\) | −2.93666 | − | 5.86311i | −0.447837 | − | 0.894115i | ||||
\(44\) | −14.9007 | − | 9.95631i | −2.24636 | − | 1.50097i | ||||
\(45\) | 1.20632 | + | 0.311173i | 0.179827 | + | 0.0463869i | ||||
\(46\) | −4.70363 | + | 2.65731i | −0.693512 | + | 0.391800i | ||||
\(47\) | −0.707931 | + | 6.28307i | −0.103262 | + | 0.916479i | 0.830117 | + | 0.557589i | \(0.188273\pi\) |
−0.933380 | + | 0.358890i | \(0.883155\pi\) | |||||||
\(48\) | −3.26509 | − | 1.76490i | −0.471275 | − | 0.254741i | ||||
\(49\) | −12.4868 | − | 1.64392i | −1.78383 | − | 0.234845i | ||||
\(50\) | −5.80663 | − | 10.0574i | −0.821182 | − | 1.42233i | ||||
\(51\) | 8.44377 | − | 8.65459i | 1.18236 | − | 1.21188i | ||||
\(52\) | −12.0738 | − | 1.81983i | −1.67434 | − | 0.252366i | ||||
\(53\) | −8.75548 | − | 3.24868i | −1.20266 | − | 0.446241i | −0.334436 | − | 0.942418i | \(-0.608546\pi\) |
−0.868221 | + | 0.496178i | \(0.834736\pi\) | |||||||
\(54\) | 13.6657 | − | 11.5397i | 1.85967 | − | 1.57035i | ||||
\(55\) | 1.11823 | + | 0.211581i | 0.150782 | + | 0.0285296i | ||||
\(56\) | 15.1842 | + | 3.61540i | 2.02908 | + | 0.483128i | ||||
\(57\) | −0.366162 | − | 1.31715i | −0.0484993 | − | 0.174460i | ||||
\(58\) | 8.45431 | + | 12.1545i | 1.11011 | + | 1.59596i | ||||
\(59\) | 6.82174 | + | 4.84028i | 0.888115 | + | 0.630151i | 0.929431 | − | 0.368995i | \(-0.120298\pi\) |
−0.0413163 | + | 0.999146i | \(0.513155\pi\) | |||||||
\(60\) | 2.27546 | + | 0.213377i | 0.293760 | + | 0.0275468i | ||||
\(61\) | 9.13820 | − | 3.68545i | 1.17003 | − | 0.471873i | 0.294787 | − | 0.955563i | \(-0.404751\pi\) |
0.875239 | + | 0.483690i | \(0.160704\pi\) | |||||||
\(62\) | −13.3157 | + | 4.79956i | −1.69109 | + | 0.609545i | ||||
\(63\) | −14.1548 | + | 20.3498i | −1.78334 | + | 2.56384i | ||||
\(64\) | 11.4305 | + | 3.99971i | 1.42881 | + | 0.499964i | ||||
\(65\) | 0.750834 | − | 0.193680i | 0.0931295 | − | 0.0240230i | ||||
\(66\) | 25.3462 | − | 24.4155i | 3.11990 | − | 3.00535i | ||||
\(67\) | 1.61762 | + | 10.7322i | 0.197624 | + | 1.31115i | 0.839089 | + | 0.543994i | \(0.183089\pi\) |
−0.641465 | + | 0.767152i | \(0.721673\pi\) | |||||||
\(68\) | 8.32306 | − | 11.8046i | 1.00932 | − | 1.43152i | ||||
\(69\) | −1.99062 | − | 6.45342i | −0.239642 | − | 0.776901i | ||||
\(70\) | −2.27750 | + | 0.386963i | −0.272213 | + | 0.0462509i | ||||
\(71\) | −3.21059 | − | 2.05947i | −0.381028 | − | 0.244414i | 0.335400 | − | 0.942076i | \(-0.391129\pi\) |
−0.716427 | + | 0.697662i | \(0.754224\pi\) | |||||||
\(72\) | 12.8802 | − | 14.9671i | 1.51795 | − | 1.76389i | ||||
\(73\) | −1.28689 | + | 5.40480i | −0.150619 | + | 0.632584i | 0.844640 | + | 0.535334i | \(0.179814\pi\) |
−0.995260 | + | 0.0972502i | \(0.968995\pi\) | |||||||
\(74\) | 13.4388 | − | 13.6925i | 1.56223 | − | 1.59172i | ||||
\(75\) | 13.8321 | − | 4.40869i | 1.59719 | − | 0.509071i | ||||
\(76\) | −0.680929 | − | 1.48434i | −0.0781079 | − | 0.170266i | ||||
\(77\) | −11.6872 | + | 19.3960i | −1.33188 | + | 2.21037i | ||||
\(78\) | 8.55120 | − | 22.4018i | 0.968232 | − | 2.53650i | ||||
\(79\) | 10.8038 | − | 9.47469i | 1.21552 | − | 1.06599i | 0.219618 | − | 0.975586i | \(-0.429519\pi\) |
0.995906 | − | 0.0903997i | \(-0.0288145\pi\) | |||||||
\(80\) | 0.280959 | − | 0.0184150i | 0.0314122 | − | 0.00205886i | ||||
\(81\) | 2.59782 | + | 4.91532i | 0.288647 | + | 0.546147i | ||||
\(82\) | −0.177557 | − | 0.343694i | −0.0196078 | − | 0.0379547i | ||||
\(83\) | −11.6381 | + | 3.82964i | −1.27745 | + | 0.420358i | −0.870083 | − | 0.492906i | \(-0.835935\pi\) |
−0.407369 | + | 0.913264i | \(0.633554\pi\) | |||||||
\(84\) | −19.7308 | + | 40.9714i | −2.15281 | + | 4.47035i | ||||
\(85\) | −0.193068 | + | 0.896706i | −0.0209412 | + | 0.0972615i | ||||
\(86\) | 14.1187 | − | 6.10700i | 1.52246 | − | 0.658535i | ||||
\(87\) | −17.0996 | + | 7.08287i | −1.83327 | + | 0.759364i | ||||
\(88\) | 10.8469 | − | 14.4131i | 1.15629 | − | 1.53644i | ||||
\(89\) | −8.62523 | + | 7.42261i | −0.914272 | + | 0.786795i | −0.977441 | − | 0.211208i | \(-0.932260\pi\) |
0.0631689 | + | 0.998003i | \(0.479879\pi\) | |||||||
\(90\) | −0.887496 | + | 2.78449i | −0.0935503 | + | 0.293511i | ||||
\(91\) | −1.58406 | + | 15.3473i | −0.166055 | + | 1.60884i | ||||
\(92\) | −3.56812 | − | 7.23544i | −0.372002 | − | 0.754346i | ||||
\(93\) | −2.30955 | − | 17.5428i | −0.239489 | − | 1.81910i | ||||
\(94\) | −14.6230 | − | 2.48454i | −1.50824 | − | 0.256261i | ||||
\(95\) | 0.0766804 | + | 0.0698262i | 0.00786724 | + | 0.00716402i | ||||
\(96\) | −6.27571 | + | 10.1982i | −0.640512 | + | 1.04085i | ||||
\(97\) | −0.720743 | + | 8.54478i | −0.0731804 | + | 0.867591i | 0.860492 | + | 0.509463i | \(0.170156\pi\) |
−0.933673 | + | 0.358127i | \(0.883415\pi\) | |||||||
\(98\) | 5.49280 | − | 29.0301i | 0.554856 | − | 2.93249i | ||||
\(99\) | 15.0140 | + | 24.3981i | 1.50896 | + | 2.45210i | ||||
\(100\) | 15.4814 | − | 7.81537i | 1.54814 | − | 0.781537i | ||||
\(101\) | −12.4063 | − | 4.86910i | −1.23447 | − | 0.484494i | −0.343757 | − | 0.939059i | \(-0.611700\pi\) |
−0.890714 | + | 0.454565i | \(0.849795\pi\) | |||||||
\(102\) | 19.1600 | + | 20.9152i | 1.89712 | + | 2.07092i | ||||
\(103\) | 4.22563 | − | 1.30343i | 0.416363 | − | 0.128431i | −0.0794934 | − | 0.996835i | \(-0.525330\pi\) |
0.495857 | + | 0.868404i | \(0.334854\pi\) | |||||||
\(104\) | 2.51034 | − | 12.0313i | 0.246159 | − | 1.17977i | ||||
\(105\) | 0.134960 | − | 2.88474i | 0.0131707 | − | 0.281522i | ||||
\(106\) | 8.76065 | − | 20.0796i | 0.850909 | − | 1.95031i | ||||
\(107\) | −1.69844 | − | 1.00188i | −0.164194 | − | 0.0968557i | 0.423665 | − | 0.905819i | \(-0.360743\pi\) |
−0.587859 | + | 0.808963i | \(0.700029\pi\) | |||||||
\(108\) | 16.0610 | + | 21.3413i | 1.54547 | + | 2.05357i | ||||
\(109\) | 4.50252 | + | 0.983472i | 0.431263 | + | 0.0941996i | 0.423765 | − | 0.905772i | \(-0.360708\pi\) |
0.00749855 | + | 0.999972i | \(0.497613\pi\) | |||||||
\(110\) | −0.642647 | + | 2.59127i | −0.0612740 | + | 0.247068i | ||||
\(111\) | 13.1377 | + | 20.0655i | 1.24697 | + | 1.90453i | ||||
\(112\) | −1.60122 | + | 5.36873i | −0.151301 | + | 0.507297i | ||||
\(113\) | 0.438063 | − | 15.6131i | 0.0412095 | − | 1.46876i | −0.657553 | − | 0.753408i | \(-0.728409\pi\) |
0.698763 | − | 0.715353i | \(-0.253734\pi\) | |||||||
\(114\) | 3.13316 | − | 0.684368i | 0.293448 | − | 0.0640969i | ||||
\(115\) | 0.388327 | + | 0.334182i | 0.0362116 | + | 0.0311626i | ||||
\(116\) | −18.8298 | + | 11.5874i | −1.74830 | + | 1.07586i | ||||
\(117\) | 16.3299 | + | 10.6918i | 1.50970 | + | 0.988457i | ||||
\(118\) | −12.2341 | + | 15.3411i | −1.12624 | + | 1.41226i | ||||
\(119\) | −15.3916 | − | 9.80849i | −1.41094 | − | 0.899143i | ||||
\(120\) | −0.342865 | + | 2.27476i | −0.0312991 | + | 0.207656i | ||||
\(121\) | 8.77859 | + | 12.3723i | 0.798053 | + | 1.12475i | ||||
\(122\) | 7.43001 | + | 21.8881i | 0.672681 | + | 1.98165i | ||||
\(123\) | 0.467120 | − | 0.125164i | 0.0421188 | − | 0.0112857i | ||||
\(124\) | −6.04104 | − | 20.2550i | −0.542501 | − | 1.81896i | ||||
\(125\) | −1.42819 | + | 1.69132i | −0.127741 | + | 0.151276i | ||||
\(126\) | −45.8012 | − | 35.8298i | −4.08030 | − | 3.19197i | ||||
\(127\) | 8.02636 | − | 7.17279i | 0.712224 | − | 0.636482i | −0.229328 | − | 0.973349i | \(-0.573653\pi\) |
0.941552 | + | 0.336867i | \(0.109367\pi\) | |||||||
\(128\) | −7.74636 | + | 18.7014i | −0.684688 | + | 1.65298i | ||||
\(129\) | 3.69209 | + | 18.8724i | 0.325071 | + | 1.66162i | ||||
\(130\) | 0.354873 | + | 1.78407i | 0.0311244 | + | 0.156473i | ||||
\(131\) | −2.74299 | − | 19.4295i | −0.239656 | − | 1.69757i | −0.629756 | − | 0.776793i | \(-0.716845\pi\) |
0.390100 | − | 0.920773i | \(-0.372441\pi\) | |||||||
\(132\) | 34.2805 | + | 39.8346i | 2.98373 | + | 3.46716i | ||||
\(133\) | −1.83337 | + | 0.947140i | −0.158973 | + | 0.0821275i | ||||
\(134\) | −25.3495 | + | 2.37711i | −2.18987 | + | 0.205351i | ||||
\(135\) | −1.46896 | − | 0.848104i | −0.126428 | − | 0.0729931i | ||||
\(136\) | 11.3937 | + | 9.03080i | 0.977005 | + | 0.774385i | ||||
\(137\) | −1.73793 | + | 0.396672i | −0.148482 | + | 0.0338900i | −0.296116 | − | 0.955152i | \(-0.595691\pi\) |
0.147634 | + | 0.989042i | \(0.452834\pi\) | |||||||
\(138\) | 15.3769 | − | 3.81354i | 1.30897 | − | 0.324630i | ||||
\(139\) | 2.26140 | + | 3.12482i | 0.191810 | + | 0.265044i | 0.895107 | − | 0.445852i | \(-0.147099\pi\) |
−0.703297 | + | 0.710896i | \(0.748290\pi\) | |||||||
\(140\) | −0.386251 | − | 3.42807i | −0.0326441 | − | 0.289725i | ||||
\(141\) | 6.93528 | − | 17.1963i | 0.584056 | − | 1.44819i | ||||
\(142\) | 5.24596 | − | 7.24891i | 0.440231 | − | 0.608315i | ||||
\(143\) | 15.5246 | + | 8.77063i | 1.29823 | + | 0.733437i | ||||
\(144\) | 5.10445 | + | 4.91703i | 0.425371 | + | 0.409752i | ||||
\(145\) | 0.812493 | − | 1.14510i | 0.0674739 | − | 0.0950955i | ||||
\(146\) | −12.4898 | − | 3.72506i | −1.03366 | − | 0.308288i | ||||
\(147\) | 33.9892 | + | 14.4526i | 2.80339 | + | 1.19203i | ||||
\(148\) | 19.2898 | + | 21.1833i | 1.58561 | + | 1.74125i | ||||
\(149\) | −5.21323 | − | 2.27451i | −0.427085 | − | 0.186335i | 0.175345 | − | 0.984507i | \(-0.443896\pi\) |
−0.602430 | + | 0.798172i | \(0.705801\pi\) | |||||||
\(150\) | 8.50656 | + | 32.9772i | 0.694558 | + | 2.69258i | ||||
\(151\) | −3.72670 | + | 4.17018i | −0.303274 | + | 0.339364i | −0.877716 | − | 0.479182i | \(-0.840934\pi\) |
0.574442 | + | 0.818546i | \(0.305219\pi\) | |||||||
\(152\) | 1.53018 | − | 0.600550i | 0.124114 | − | 0.0487111i | ||||
\(153\) | −19.9613 | + | 11.6041i | −1.61378 | + | 0.938137i | ||||
\(154\) | −43.8916 | − | 29.9248i | −3.53689 | − | 2.41141i | ||||
\(155\) | 0.856384 | + | 1.03362i | 0.0687864 | + | 0.0830220i | ||||
\(156\) | 32.6842 | + | 14.6252i | 2.61683 | + | 1.17096i | ||||
\(157\) | 11.0494 | − | 4.82080i | 0.881838 | − | 0.384742i | 0.0903378 | − | 0.995911i | \(-0.471205\pi\) |
0.791500 | + | 0.611169i | \(0.209301\pi\) | |||||||
\(158\) | 20.7704 | + | 26.5508i | 1.65240 | + | 2.11226i | ||||
\(159\) | 22.1862 | + | 16.0559i | 1.75948 | + | 1.27332i | ||||
\(160\) | −0.00849332 | − | 0.908352i | −0.000671456 | − | 0.0718116i | ||||
\(161\) | −8.92205 | + | 4.93104i | −0.703156 | + | 0.388621i | ||||
\(162\) | −11.8543 | + | 5.43805i | −0.931361 | + | 0.427253i | ||||
\(163\) | 5.01933 | − | 5.51203i | 0.393144 | − | 0.431735i | −0.510593 | − | 0.859822i | \(-0.670574\pi\) |
0.903738 | + | 0.428087i | \(0.140812\pi\) | |||||||
\(164\) | 0.527303 | − | 0.235953i | 0.0411754 | − | 0.0184248i | ||||
\(165\) | −2.99329 | − | 1.47613i | −0.233027 | − | 0.114916i | ||||
\(166\) | −7.43891 | − | 27.7624i | −0.577371 | − | 2.15478i | ||||
\(167\) | −2.33001 | + | 4.31055i | −0.180302 | + | 0.333560i | −0.953904 | − | 0.300111i | \(-0.902976\pi\) |
0.773603 | + | 0.633671i | \(0.218453\pi\) | |||||||
\(168\) | −40.0622 | − | 22.1416i | −3.09086 | − | 1.70826i | ||||
\(169\) | −0.848821 | − | 0.0636103i | −0.0652939 | − | 0.00489310i | ||||
\(170\) | −2.07486 | − | 0.570148i | −0.159134 | − | 0.0437284i | ||||
\(171\) | 2.61057i | 0.199635i | ||||||||
\(172\) | 7.92314 | + | 21.5619i | 0.604134 | + | 1.64408i | ||||
\(173\) | 17.7656 | + | 3.53380i | 1.35069 | + | 0.268670i | 0.816819 | − | 0.576894i | \(-0.195735\pi\) |
0.533875 | + | 0.845564i | \(0.320735\pi\) | |||||||
\(174\) | −14.3402 | − | 40.9820i | −1.08713 | − | 3.10684i | ||||
\(175\) | −10.7790 | − | 19.0795i | −0.814814 | − | 1.44228i | ||||
\(176\) | 4.94683 | + | 4.17722i | 0.372881 | + | 0.314870i | ||||
\(177\) | −15.4725 | − | 19.0340i | −1.16298 | − | 1.43068i | ||||
\(178\) | −16.2506 | − | 21.1782i | −1.21803 | − | 1.58737i | ||||
\(179\) | −10.0877 | + | 1.32807i | −0.753992 | + | 0.0992649i | −0.497718 | − | 0.867339i | \(-0.665828\pi\) |
−0.256274 | + | 0.966604i | \(0.582495\pi\) | |||||||
\(180\) | −4.07726 | − | 1.55637i | −0.303901 | − | 0.116005i | ||||
\(181\) | −0.298327 | − | 6.37669i | −0.0221745 | − | 0.473976i | −0.981475 | − | 0.191589i | \(-0.938636\pi\) |
0.959301 | − | 0.282386i | \(-0.0911260\pi\) | |||||||
\(182\) | −35.7379 | − | 5.72886i | −2.64907 | − | 0.424651i | ||||
\(183\) | −28.7140 | + | 3.23529i | −2.12260 | + | 0.239160i | ||||
\(184\) | 7.47290 | − | 3.17756i | 0.550909 | − | 0.234253i | ||||
\(185\) | −1.65373 | − | 0.758632i | −0.121584 | − | 0.0557757i | ||||
\(186\) | 41.3922 | − | 3.10192i | 3.03502 | − | 0.227444i | ||||
\(187\) | −17.5028 | + | 11.7706i | −1.27993 | + | 0.860749i | ||||
\(188\) | 4.92876 | − | 21.5943i | 0.359467 | − | 1.57493i | ||||
\(189\) | 25.9891 | − | 21.5328i | 1.89043 | − | 1.56628i | ||||
\(190\) | −0.173632 | + | 0.170415i | −0.0125966 | + | 0.0123632i | ||||
\(191\) | −4.98645 | − | 3.68017i | −0.360807 | − | 0.266288i | 0.398298 | − | 0.917256i | \(-0.369601\pi\) |
−0.759105 | + | 0.650969i | \(0.774363\pi\) | |||||||
\(192\) | −29.1544 | − | 20.2790i | −2.10404 | − | 1.46351i | ||||
\(193\) | 13.9540 | − | 10.5014i | 1.00443 | − | 0.755909i | 0.0345255 | − | 0.999404i | \(-0.489008\pi\) |
0.969902 | + | 0.243494i | \(0.0782937\pi\) | |||||||
\(194\) | −19.9186 | − | 2.81204i | −1.43007 | − | 0.201893i | ||||
\(195\) | −2.27355 | − | 0.0425202i | −0.162812 | − | 0.00304494i | ||||
\(196\) | 42.8230 | + | 10.6203i | 3.05878 | + | 0.758591i | ||||
\(197\) | 0.600551 | + | 1.48909i | 0.0427875 | + | 0.106093i | 0.947293 | − | 0.320370i | \(-0.103807\pi\) |
−0.904505 | + | 0.426463i | \(0.859760\pi\) | |||||||
\(198\) | −59.1196 | + | 31.9563i | −4.20144 | + | 2.27104i | ||||
\(199\) | −4.77586 | + | 1.82304i | −0.338551 | + | 0.129232i | −0.519995 | − | 0.854170i | \(-0.674066\pi\) |
0.181443 | + | 0.983401i | \(0.441923\pi\) | |||||||
\(200\) | 6.98059 | + | 15.9997i | 0.493602 | + | 1.13135i | ||||
\(201\) | 3.85921 | − | 31.5936i | 0.272208 | − | 2.22844i | ||||
\(202\) | 13.0362 | − | 28.4173i | 0.917223 | − | 1.99944i | ||||
\(203\) | 15.7378 | + | 23.0831i | 1.10458 | + | 1.62012i | ||||
\(204\) | −32.7881 | + | 26.8156i | −2.29563 | + | 1.87747i | ||||
\(205\) | −0.0249529 | + | 0.0268929i | −0.00174279 | + | 0.00187828i | ||||
\(206\) | 2.49707 | + | 10.0686i | 0.173979 | + | 0.701515i | ||||
\(207\) | 0.361691 | + | 12.8911i | 0.0251392 | + | 0.895997i | ||||
\(208\) | 4.26107 | + | 1.14175i | 0.295452 | + | 0.0791662i | ||||
\(209\) | 0.155975 | + | 2.37971i | 0.0107890 | + | 0.164608i | ||||
\(210\) | 6.73884 | + | 0.695542i | 0.465024 | + | 0.0479970i | ||||
\(211\) | 1.82695 | + | 21.6594i | 0.125772 | + | 1.49110i | 0.724017 | + | 0.689782i | \(0.242294\pi\) |
−0.598244 | + | 0.801314i | \(0.704135\pi\) | |||||||
\(212\) | 29.2045 | + | 14.7431i | 2.00577 | + | 1.01256i | ||||
\(213\) | 7.45366 | + | 8.34065i | 0.510717 | + | 0.571492i | ||||
\(214\) | 2.57000 | − | 3.84627i | 0.175681 | − | 0.262926i | ||||
\(215\) | −0.998852 | − | 1.06322i | −0.0681211 | − | 0.0725109i | ||||
\(216\) | −22.3542 | + | 14.9366i | −1.52101 | + | 1.01631i | ||||
\(217\) | −25.2097 | + | 8.82126i | −1.71135 | + | 0.598826i | ||||
\(218\) | −2.89571 | + | 10.4164i | −0.196122 | + | 0.705486i | ||||
\(219\) | 7.88125 | − | 14.2600i | 0.532566 | − | 0.963605i | ||||
\(220\) | −3.80969 | − | 1.17513i | −0.256849 | − | 0.0792274i | ||||
\(221\) | −7.38033 | + | 12.3313i | −0.496455 | + | 0.829491i | ||||
\(222\) | −48.7252 | + | 28.1315i | −3.27022 | + | 1.88806i | ||||
\(223\) | 8.75803 | − | 6.21415i | 0.586481 | − | 0.416130i | −0.246731 | − | 0.969084i | \(-0.579356\pi\) |
0.833212 | + | 0.552954i | \(0.186499\pi\) | |||||||
\(224\) | 17.0040 | + | 6.12900i | 1.13613 | + | 0.409511i | ||||
\(225\) | −27.7032 | + | 1.03658i | −1.84688 | + | 0.0691054i | ||||
\(226\) | 36.5112 | + | 3.07969i | 2.42869 | + | 0.204858i | ||||
\(227\) | 0.233067 | + | 0.228749i | 0.0154692 | + | 0.0151826i | 0.708158 | − | 0.706054i | \(-0.249526\pi\) |
−0.692689 | + | 0.721237i | \(0.743574\pi\) | |||||||
\(228\) | 0.758026 | + | 4.72874i | 0.0502015 | + | 0.313168i | ||||
\(229\) | 11.3089 | + | 3.72131i | 0.747314 | + | 0.245911i | 0.661030 | − | 0.750360i | \(-0.270120\pi\) |
0.0862845 | + | 0.996271i | \(0.472501\pi\) | |||||||
\(230\) | −0.833794 | + | 0.865576i | −0.0549787 | + | 0.0570744i | ||||
\(231\) | 48.2560 | − | 45.6220i | 3.17501 | − | 3.00171i | ||||
\(232\) | −10.5824 | − | 19.5776i | −0.694771 | − | 1.28533i | ||||
\(233\) | −0.0222377 | + | 2.37830i | −0.00145684 | + | 0.155807i | 0.996189 | + | 0.0872251i | \(0.0277999\pi\) |
−0.997645 | + | 0.0685823i | \(0.978152\pi\) | |||||||
\(234\) | −27.1901 | + | 36.8413i | −1.77747 | + | 2.40839i | ||||
\(235\) | 0.248573 | + | 1.38448i | 0.0162151 | + | 0.0903137i | ||||
\(236\) | −21.8487 | − | 19.5252i | −1.42223 | − | 1.27098i | ||||
\(237\) | −37.9673 | + | 18.2841i | −2.46624 | + | 1.18768i | ||||
\(238\) | 24.9978 | − | 34.7597i | 1.62037 | − | 2.25314i | ||||
\(239\) | −0.826526 | + | 0.124579i | −0.0534635 | + | 0.00805833i | −0.175720 | − | 0.984440i | \(-0.556225\pi\) |
0.122256 | + | 0.992499i | \(0.460987\pi\) | |||||||
\(240\) | −0.808293 | − | 0.168651i | −0.0521751 | − | 0.0108864i | ||||
\(241\) | −1.93810 | − | 18.7775i | −0.124844 | − | 1.20957i | −0.852166 | − | 0.523272i | \(-0.824711\pi\) |
0.727322 | − | 0.686297i | \(-0.240765\pi\) | |||||||
\(242\) | −30.1328 | + | 18.9337i | −1.93701 | + | 1.21710i | ||||
\(243\) | 1.40195 | + | 6.41838i | 0.0899350 | + | 0.411739i | ||||
\(244\) | −33.2565 | + | 9.24517i | −2.12903 | + | 0.591861i | ||||
\(245\) | −2.76655 | + | 0.443484i | −0.176749 | + | 0.0283331i | ||||
\(246\) | 0.231716 | + | 1.11054i | 0.0147737 | + | 0.0708057i | ||||
\(247\) | 0.785979 | + | 1.42212i | 0.0500106 | + | 0.0904874i | ||||
\(248\) | 20.6970 | − | 4.92800i | 1.31426 | − | 0.312928i | ||||
\(249\) | 35.8907 | − | 1.67911i | 2.27448 | − | 0.106409i | ||||
\(250\) | −3.77353 | − | 3.56755i | −0.238659 | − | 0.225632i | ||||
\(251\) | −3.90224 | + | 14.5633i | −0.246307 | + | 0.919230i | 0.726415 | + | 0.687256i | \(0.241185\pi\) |
−0.972722 | + | 0.231974i | \(0.925482\pi\) | |||||||
\(252\) | 57.2560 | − | 65.2879i | 3.60679 | − | 4.11275i | ||||
\(253\) | 1.09992 | + | 11.7295i | 0.0691512 | + | 0.737430i | ||||
\(254\) | 15.7443 | + | 19.7427i | 0.987882 | + | 1.23877i | ||||
\(255\) | 1.24982 | − | 2.38193i | 0.0782669 | − | 0.149162i | ||||
\(256\) | −20.9615 | − | 10.0945i | −1.31009 | − | 0.630908i | ||||
\(257\) | 8.04046 | + | 19.4114i | 0.501550 | + | 1.21085i | 0.948639 | + | 0.316360i | \(0.102461\pi\) |
−0.447089 | + | 0.894490i | \(0.647539\pi\) | |||||||
\(258\) | −44.6882 | + | 6.16520i | −2.78217 | + | 0.383829i | ||||
\(259\) | 25.5990 | − | 25.5990i | 1.59064 | − | 1.59064i | ||||
\(260\) | −2.68969 | + | 0.379722i | −0.166808 | + | 0.0235493i | ||||
\(261\) | 35.0825 | − | 4.28539i | 2.17155 | − | 0.265259i | ||||
\(262\) | 45.8683 | − | 3.86895i | 2.83375 | − | 0.239024i | ||||
\(263\) | 1.93308 | + | 1.60162i | 0.119199 | + | 0.0987602i | 0.695686 | − | 0.718346i | \(-0.255101\pi\) |
−0.576487 | + | 0.817106i | \(0.695577\pi\) | |||||||
\(264\) | −41.9680 | + | 32.2032i | −2.58295 | + | 1.98197i | ||||
\(265\) | −2.07312 | − | 0.135879i | −0.127351 | − | 0.00834700i | ||||
\(266\) | −1.97723 | − | 4.41867i | −0.121231 | − | 0.270926i | ||||
\(267\) | 30.2000 | − | 14.1973i | 1.84821 | − | 0.868859i | ||||
\(268\) | −1.42165 | − | 37.9943i | −0.0868409 | − | 2.32087i | ||||
\(269\) | 14.9993 | + | 17.7627i | 0.914521 | + | 1.08301i | 0.996264 | + | 0.0863579i | \(0.0275229\pi\) |
−0.0817427 | + | 0.996653i | \(0.526049\pi\) | |||||||
\(270\) | 2.17963 | − | 3.32902i | 0.132648 | − | 0.202597i | ||||
\(271\) | 3.48190 | + | 3.75260i | 0.211510 | + | 0.227954i | 0.829892 | − | 0.557924i | \(-0.188402\pi\) |
−0.618382 | + | 0.785878i | \(0.712211\pi\) | |||||||
\(272\) | −3.46562 | + | 3.90136i | −0.210134 | + | 0.236555i | ||||
\(273\) | 16.5303 | − | 42.1185i | 1.00046 | − | 2.54913i | ||||
\(274\) | −0.700481 | − | 4.12273i | −0.0423176 | − | 0.249063i | ||||
\(275\) | −25.1914 | + | 2.60011i | −1.51910 | + | 0.156792i | ||||
\(276\) | 4.39834 | + | 23.2458i | 0.264749 | + | 1.39923i | ||||
\(277\) | −1.21335 | + | 1.10489i | −0.0729029 | + | 0.0663864i | −0.708922 | − | 0.705287i | \(-0.750818\pi\) |
0.636019 | + | 0.771673i | \(0.280580\pi\) | |||||||
\(278\) | −7.61636 | + | 4.88560i | −0.456799 | + | 0.293019i | ||||
\(279\) | −4.72328 | + | 33.4565i | −0.282775 | + | 2.00299i | ||||
\(280\) | 3.46696 | − | 0.194701i | 0.207191 | − | 0.0116356i | ||||
\(281\) | 0.406142 | − | 21.7163i | 0.0242284 | − | 1.29549i | −0.749515 | − | 0.661988i | \(-0.769713\pi\) |
0.773743 | − | 0.633499i | \(-0.218382\pi\) | |||||||
\(282\) | 39.3646 | + | 18.5056i | 2.34413 | + | 1.10199i | ||||
\(283\) | −9.89152 | + | 23.2626i | −0.587990 | + | 1.38282i | 0.313321 | + | 0.949647i | \(0.398558\pi\) |
−0.901311 | + | 0.433173i | \(0.857394\pi\) | |||||||
\(284\) | 10.3686 | + | 8.42849i | 0.615264 | + | 0.500139i | ||||
\(285\) | −0.161809 | − | 0.257518i | −0.00958474 | − | 0.0152540i | ||||
\(286\) | −22.5844 | + | 35.2078i | −1.33545 | + | 2.08188i | ||||
\(287\) | −0.328964 | − | 0.651642i | −0.0194181 | − | 0.0384652i | ||||
\(288\) | 16.7620 | − | 15.5529i | 0.987712 | − | 0.916462i | ||||
\(289\) | −9.13015 | − | 14.3402i | −0.537068 | − | 0.843539i | ||||
\(290\) | 2.57517 | + | 2.05363i | 0.151219 | + | 0.120593i | ||||
\(291\) | 8.74795 | − | 23.5765i | 0.512814 | − | 1.38208i | ||||
\(292\) | 6.59970 | − | 18.3099i | 0.386218 | − | 1.07151i | ||||
\(293\) | −5.28091 | − | 3.31822i | −0.308514 | − | 0.193852i | 0.368871 | − | 0.929480i | \(-0.379744\pi\) |
−0.677386 | + | 0.735628i | \(0.736887\pi\) | |||||||
\(294\) | −38.3214 | + | 77.7080i | −2.23495 | + | 4.53202i | ||||
\(295\) | 1.76207 | + | 0.598142i | 0.102592 | + | 0.0348251i | ||||
\(296\) | −22.3776 | + | 18.1904i | −1.30067 | + | 1.05730i | ||||
\(297\) | −10.7979 | − | 37.4803i | −0.626557 | − | 2.17483i | ||||
\(298\) | 6.01304 | − | 11.9112i | 0.348326 | − | 0.689995i | ||||
\(299\) | 4.07824 | + | 6.91362i | 0.235851 | + | 0.399825i | ||||
\(300\) | −49.8801 | + | 9.92177i | −2.87983 | + | 0.572834i | ||||
\(301\) | 26.7481 | − | 11.2741i | 1.54173 | − | 0.649827i | ||||
\(302\) | −9.27713 | − | 9.27713i | −0.533839 | − | 0.533839i | ||||
\(303\) | 31.2285 | + | 23.5019i | 1.79403 | + | 1.35015i | ||||
\(304\) | 0.184421 | + | 0.560447i | 0.0105772 | + | 0.0321439i | ||||
\(305\) | 1.71382 | − | 1.36672i | 0.0981328 | − | 0.0782583i | ||||
\(306\) | −24.5534 | − | 48.2795i | −1.40362 | − | 2.75995i | ||||
\(307\) | 6.93901 | − | 12.0187i | 0.396030 | − | 0.685944i | −0.597202 | − | 0.802091i | \(-0.703721\pi\) |
0.993232 | + | 0.116146i | \(0.0370542\pi\) | |||||||
\(308\) | 48.2919 | − | 62.9352i | 2.75169 | − | 3.58607i | ||||
\(309\) | −12.9630 | + | 0.363706i | −0.737438 | + | 0.0206905i | ||||
\(310\) | −2.53356 | + | 1.86985i | −0.143897 | + | 0.106201i | ||||
\(311\) | −0.761180 | + | 4.74841i | −0.0431626 | + | 0.269258i | −0.999754 | − | 0.0221740i | \(-0.992941\pi\) |
0.956592 | + | 0.291432i | \(0.0941317\pi\) | |||||||
\(312\) | −16.5428 | + | 32.0218i | −0.936554 | + | 1.81288i | ||||
\(313\) | 6.37302 | − | 0.0595894i | 0.360225 | − | 0.00336819i | 0.170915 | − | 0.985286i | \(-0.445328\pi\) |
0.189309 | + | 0.981918i | \(0.439375\pi\) | |||||||
\(314\) | 9.83783 | + | 26.5138i | 0.555181 | + | 1.49626i | ||||
\(315\) | −1.72372 | + | 5.23833i | −0.0971208 | + | 0.295146i | ||||
\(316\) | −41.3253 | + | 28.7448i | −2.32473 | + | 1.61702i | ||||
\(317\) | −16.3725 | − | 0.459368i | −0.919572 | − | 0.0258007i | −0.434883 | − | 0.900487i | \(-0.643210\pi\) |
−0.484689 | + | 0.874686i | \(0.661067\pi\) | |||||||
\(318\) | −40.5242 | + | 49.8523i | −2.27248 | + | 2.79558i | ||||
\(319\) | 31.7240 | − | 6.00250i | 1.77620 | − | 0.336076i | ||||
\(320\) | 2.69115 | + | 0.125903i | 0.150440 | + | 0.00703819i | ||||
\(321\) | 4.01187 | + | 4.16479i | 0.223921 | + | 0.232456i | ||||
\(322\) | −10.3759 | − | 21.5457i | −0.578224 | − | 1.20069i | ||||
\(323\) | −1.92053 | + | 0.0775913i | −0.106861 | + | 0.00431730i | ||||
\(324\) | −7.11536 | − | 18.1297i | −0.395298 | − | 1.00720i | ||||
\(325\) | −14.7794 | + | 8.90544i | −0.819813 | + | 0.493985i | ||||
\(326\) | 12.2500 | + | 12.4812i | 0.678463 | + | 0.691270i | ||||
\(327\) | −11.9490 | − | 6.31526i | −0.660784 | − | 0.349234i | ||||
\(328\) | 0.207369 | + | 0.543249i | 0.0114500 | + | 0.0299959i | ||||
\(329\) | −27.5479 | − | 4.94602i | −1.51877 | − | 0.272683i | ||||
\(330\) | 3.85108 | − | 6.81667i | 0.211995 | − | 0.375245i | ||||
\(331\) | −22.5487 | + | 8.36659i | −1.23939 | + | 0.459869i | −0.880739 | − | 0.473603i | \(-0.842953\pi\) |
−0.358650 | + | 0.933472i | \(0.616763\pi\) | |||||||
\(332\) | 42.0156 | − | 8.76658i | 2.30590 | − | 0.481129i | ||||
\(333\) | −13.9080 | − | 43.6360i | −0.762156 | − | 2.39124i | ||||
\(334\) | −9.78962 | − | 6.02430i | −0.535664 | − | 0.329635i | ||||
\(335\) | 1.02724 | + | 2.18512i | 0.0561241 | + | 0.119386i | ||||
\(336\) | 8.74101 | − | 13.9112i | 0.476861 | − | 0.758920i | ||||
\(337\) | 13.7410 | − | 4.66443i | 0.748519 | − | 0.254088i | 0.0789915 | − | 0.996875i | \(-0.474830\pi\) |
0.669527 | + | 0.742787i | \(0.266497\pi\) | |||||||
\(338\) | 0.260636 | − | 1.97973i | 0.0141767 | − | 0.107683i | ||||
\(339\) | −13.5012 | + | 43.7697i | −0.733282 | + | 2.37724i | ||||
\(340\) | 1.02380 | − | 3.04580i | 0.0555233 | − | 0.165182i | ||||
\(341\) | −2.30665 | + | 30.7801i | −0.124912 | + | 1.66684i | ||||
\(342\) | −6.11443 | − | 0.343379i | −0.330631 | − | 0.0185678i | ||||
\(343\) | 4.83134 | − | 24.2888i | 0.260868 | − | 1.31147i | ||||
\(344\) | −22.1166 | + | 6.74573i | −1.19245 | + | 0.363705i | ||||
\(345\) | −0.834701 | − | 1.24922i | −0.0449388 | − | 0.0672557i | ||||
\(346\) | −10.6136 | + | 41.1455i | −0.570590 | + | 2.21199i | ||||
\(347\) | 2.59937 | − | 3.32277i | 0.139541 | − | 0.178375i | −0.712790 | − | 0.701377i | \(-0.752569\pi\) |
0.852332 | + | 0.523002i | \(0.175188\pi\) | |||||||
\(348\) | 62.3034 | − | 17.9493i | 3.33981 | − | 0.962183i | ||||
\(349\) | 18.4521 | − | 22.2708i | 0.987717 | − | 1.19213i | 0.00635054 | − | 0.999980i | \(-0.497979\pi\) |
0.981366 | − | 0.192148i | \(-0.0615453\pi\) | |||||||
\(350\) | 46.1055 | − | 22.7367i | 2.46444 | − | 1.21533i | ||||
\(351\) | −17.5224 | − | 19.9804i | −0.935275 | − | 1.06648i | ||||
\(352\) | 14.3505 | − | 15.1790i | 0.764883 | − | 0.809043i | ||||
\(353\) | −13.7962 | − | 18.6932i | −0.734298 | − | 0.994939i | −0.999527 | − | 0.0307531i | \(-0.990209\pi\) |
0.265229 | − | 0.964185i | \(-0.414552\pi\) | |||||||
\(354\) | 46.6163 | − | 33.7357i | 2.47763 | − | 1.79303i | ||||
\(355\) | −0.815405 | − | 0.234914i | −0.0432772 | − | 0.0124680i | ||||
\(356\) | 32.9366 | − | 22.4558i | 1.74564 | − | 1.19015i | ||||
\(357\) | 35.7836 | + | 39.8025i | 1.89387 | + | 2.10657i | ||||
\(358\) | −1.78371 | − | 23.8020i | −0.0942721 | − | 1.25797i | ||||
\(359\) | −0.197821 | − | 10.5775i | −0.0104406 | − | 0.558257i | −0.965292 | − | 0.261173i | \(-0.915891\pi\) |
0.954851 | − | 0.297084i | \(-0.0960141\pi\) | |||||||
\(360\) | 1.79425 | − | 4.00975i | 0.0945652 | − | 0.211332i | ||||
\(361\) | 8.77656 | − | 16.6061i | 0.461924 | − | 0.874003i | ||||
\(362\) | 14.9746 | + | 0.140016i | 0.787049 | + | 0.00735910i | ||||
\(363\) | −15.0853 | − | 41.8520i | −0.791775 | − | 2.19666i | ||||
\(364\) | 11.5339 | − | 52.8043i | 0.604540 | − | 2.76770i | ||||
\(365\) | 0.0693033 | + | 1.23406i | 0.00362750 | + | 0.0645936i | ||||
\(366\) | −3.80077 | − | 67.6790i | −0.198670 | − | 3.53764i | ||||
\(367\) | −5.93292 | + | 27.1620i | −0.309696 | + | 1.41785i | 0.517379 | + | 0.855756i | \(0.326908\pi\) |
−0.827076 | + | 0.562091i | \(0.809997\pi\) | |||||||
\(368\) | 0.988329 | + | 2.74197i | 0.0515202 | + | 0.142935i | ||||
\(369\) | −0.923425 | − | 0.00863426i | −0.0480716 | − | 0.000449482i | ||||
\(370\) | 1.99438 | − | 3.77355i | 0.103683 | − | 0.196177i | ||||
\(371\) | 16.8845 | − | 37.7332i | 0.876602 | − | 1.95901i | ||||
\(372\) | 1.15905 | + | 61.9740i | 0.0600938 | + | 3.21320i | ||||
\(373\) | 2.38977 | + | 31.8893i | 0.123738 | + | 1.65117i | 0.621179 | + | 0.783669i | \(0.286654\pi\) |
−0.497441 | + | 0.867498i | \(0.665727\pi\) | |||||||
\(374\) | −25.2666 | − | 42.5430i | −1.30651 | − | 2.19985i | ||||
\(375\) | 5.36370 | − | 3.65691i | 0.276980 | − | 0.188842i | ||||
\(376\) | 21.4238 | + | 6.17209i | 1.10485 | + | 0.318301i | ||||
\(377\) | 17.8211 | − | 12.8970i | 0.917835 | − | 0.664227i | ||||
\(378\) | 47.0154 | + | 63.7036i | 2.41821 | + | 3.27656i | ||||
\(379\) | 6.22296 | − | 6.58224i | 0.319652 | − | 0.338107i | −0.546896 | − | 0.837201i | \(-0.684191\pi\) |
0.866548 | + | 0.499093i | \(0.166334\pi\) | |||||||
\(380\) | −0.239544 | − | 0.273148i | −0.0122884 | − | 0.0140122i | ||||
\(381\) | −28.3118 | + | 13.9618i | −1.45046 | + | 0.715285i | ||||
\(382\) | 9.27551 | − | 11.1951i | 0.474577 | − | 0.572792i | ||||
\(383\) | 3.36195 | − | 0.968562i | 0.171788 | − | 0.0494912i | −0.189833 | − | 0.981816i | \(-0.560795\pi\) |
0.361621 | + | 0.932325i | \(0.382223\pi\) | |||||||
\(384\) | 36.5759 | − | 46.7549i | 1.86650 | − | 2.38595i | ||||
\(385\) | −1.25831 | + | 4.87808i | −0.0641296 | + | 0.248610i | ||||
\(386\) | 22.7609 | + | 34.0640i | 1.15850 | + | 1.73381i | ||||
\(387\) | 2.85970 | − | 36.6098i | 0.145366 | − | 1.86098i | ||||
\(388\) | 5.86046 | − | 29.4625i | 0.297520 | − | 1.49573i | ||||
\(389\) | −5.19794 | − | 0.291910i | −0.263546 | − | 0.0148004i | −0.0761931 | − | 0.997093i | \(-0.524277\pi\) |
−0.187353 | + | 0.982293i | \(0.559991\pi\) | |||||||
\(390\) | 0.398640 | − | 5.31948i | 0.0201859 | − | 0.269362i | ||||
\(391\) | −9.47295 | + | 0.649237i | −0.479068 | + | 0.0328333i | ||||
\(392\) | −13.0901 | + | 42.4371i | −0.661151 | + | 2.14340i | ||||
\(393\) | −7.51092 | + | 57.0511i | −0.378876 | + | 2.87785i | ||||
\(394\) | −3.56671 | + | 1.21073i | −0.179688 | + | 0.0609959i | ||||
\(395\) | 1.70081 | − | 2.70682i | 0.0855769 | − | 0.136195i | ||||
\(396\) | −42.6956 | − | 90.8209i | −2.14553 | − | 4.56392i | ||||
\(397\) | −7.60724 | − | 4.68131i | −0.381796 | − | 0.234948i | 0.319858 | − | 0.947465i | \(-0.396365\pi\) |
−0.701655 | + | 0.712517i | \(0.747555\pi\) | |||||||
\(398\) | −3.64171 | − | 11.4257i | −0.182542 | − | 0.572720i | ||||
\(399\) | 5.92397 | − | 1.23604i | 0.296570 | − | 0.0618795i | ||||
\(400\) | −5.87421 | + | 2.17960i | −0.293710 | + | 0.108980i | ||||
\(401\) | −18.2420 | + | 32.2896i | −0.910961 | + | 1.61246i | −0.126781 | + | 0.991931i | \(0.540464\pi\) |
−0.784181 | + | 0.620533i | \(0.786916\pi\) | |||||||
\(402\) | 73.4903 | + | 13.1946i | 3.66536 | + | 0.658088i | ||||
\(403\) | 7.49991 | + | 19.6477i | 0.373597 | + | 0.978721i | ||||
\(404\) | 41.2777 | + | 21.8159i | 2.05364 | + | 1.08538i | ||||
\(405\) | 0.866353 | + | 0.882708i | 0.0430494 | + | 0.0438621i | ||||
\(406\) | −56.1350 | + | 33.8246i | −2.78593 | + | 1.67869i | ||||
\(407\) | −15.2852 | − | 38.9462i | −0.757662 | − | 1.93049i | ||||
\(408\) | −25.0988 | − | 34.4651i | −1.24258 | − | 1.70628i | ||||
\(409\) | 11.8356 | + | 24.5769i | 0.585234 | + | 1.21525i | 0.957851 | + | 0.287266i | \(0.0927463\pi\) |
−0.372617 | + | 0.927985i | \(0.621539\pi\) | |||||||
\(410\) | −0.0597059 | − | 0.0619817i | −0.00294866 | − | 0.00306106i | ||||
\(411\) | 5.22196 | + | 0.244304i | 0.257580 | + | 0.0120506i | ||||
\(412\) | −15.2211 | + | 2.87998i | −0.749888 | + | 0.141886i | ||||
\(413\) | −23.3550 | + | 28.7310i | −1.14922 | + | 1.41376i | ||||
\(414\) | −30.2410 | − | 0.848481i | −1.48626 | − | 0.0417006i | ||||
\(415\) | −2.23760 | + | 1.55642i | −0.109840 | + | 0.0764015i | ||||
\(416\) | 4.44861 | − | 13.5191i | 0.218111 | − | 0.662831i | ||||
\(417\) | −3.93500 | − | 10.6052i | −0.192698 | − | 0.519338i | ||||
\(418\) | −5.59424 | + | 0.0523075i | −0.273623 | + | 0.00255844i | ||||
\(419\) | −0.965127 | + | 1.86818i | −0.0471495 | + | 0.0912668i | −0.910848 | − | 0.412743i | \(-0.864571\pi\) |
0.863698 | + | 0.504009i | \(0.168142\pi\) | |||||||
\(420\) | −1.60128 | + | 9.98913i | −0.0781343 | + | 0.487420i | ||||
\(421\) | 11.9644 | − | 8.83014i | 0.583110 | − | 0.430355i | −0.261908 | − | 0.965093i | \(-0.584352\pi\) |
0.845018 | + | 0.534738i | \(0.179590\pi\) | |||||||
\(422\) | −50.9707 | + | 1.43010i | −2.48121 | + | 0.0696161i | ||||
\(423\) | −21.5547 | + | 28.0906i | −1.04803 | + | 1.36581i | ||||
\(424\) | −16.4649 | + | 28.5180i | −0.799605 | + | 1.38496i | ||||
\(425\) | −1.58598 | − | 20.3498i | −0.0769314 | − | 0.987108i | ||||
\(426\) | −20.5158 | + | 16.3608i | −0.993991 | + | 0.792682i | ||||
\(427\) | 13.6334 | + | 41.4313i | 0.659764 | + | 2.00500i | ||||
\(428\) | 5.51947 | + | 4.15382i | 0.266793 | + | 0.200783i | ||||
\(429\) | −36.9746 | − | 36.9746i | −1.78515 | − | 1.78515i | ||||
\(430\) | 2.62164 | − | 2.19964i | 0.126427 | − | 0.106076i | ||||
\(431\) | 19.7596 | − | 3.93043i | 0.951788 | − | 0.189322i | 0.305308 | − | 0.952254i | \(-0.401241\pi\) |
0.646480 | + | 0.762931i | \(0.276241\pi\) | |||||||
\(432\) | −4.90286 | − | 8.31155i | −0.235889 | − | 0.399890i | ||||
\(433\) | −3.89614 | + | 7.71782i | −0.187236 | + | 0.370895i | −0.966842 | − | 0.255376i | \(-0.917801\pi\) |
0.779605 | + | 0.626271i | \(0.215420\pi\) | |||||||
\(434\) | −17.3451 | − | 60.2061i | −0.832590 | − | 2.88998i | ||||
\(435\) | −3.19506 | + | 2.59722i | −0.153192 | + | 0.124527i | ||||
\(436\) | −15.2880 | − | 5.18957i | −0.732161 | − | 0.248535i | ||||
\(437\) | −0.474827 | + | 0.962854i | −0.0227140 | + | 0.0460595i | ||||
\(438\) | 32.3630 | + | 20.3350i | 1.54636 | + | 0.971645i | ||||
\(439\) | −4.14029 | + | 11.4866i | −0.197605 | + | 0.548226i | −0.998736 | − | 0.0502633i | \(-0.983994\pi\) |
0.801131 | + | 0.598489i | \(0.204232\pi\) | |||||||
\(440\) | 1.39601 | − | 3.76236i | 0.0665520 | − | 0.179364i | ||||
\(441\) | −55.1417 | − | 43.9740i | −2.62579 | − | 2.09400i | ||||
\(442\) | −27.9113 | − | 18.9081i | −1.32761 | − | 0.899365i | ||||
\(443\) | 3.68505 | − | 3.41923i | 0.175082 | − | 0.162452i | −0.587764 | − | 0.809032i | \(-0.699992\pi\) |
0.762846 | + | 0.646580i | \(0.223801\pi\) | |||||||
\(444\) | −37.8632 | − | 75.0030i | −1.79691 | − | 3.55948i | ||||
\(445\) | −1.36684 | + | 2.13082i | −0.0647944 | + | 0.101011i | ||||
\(446\) | 13.4027 | + | 21.3303i | 0.634636 | + | 1.01002i | ||||
\(447\) | 12.9431 | + | 10.5212i | 0.612185 | + | 0.497636i | ||||
\(448\) | −20.9764 | + | 49.3317i | −0.991040 | + | 2.33070i | ||||
\(449\) | 22.2060 | + | 10.4392i | 1.04796 | + | 0.492656i | 0.870858 | − | 0.491535i | \(-0.163564\pi\) |
0.177107 | + | 0.984192i | \(0.443326\pi\) | |||||||
\(450\) | 1.21606 | − | 65.0224i | 0.0573255 | − | 3.06518i | ||||
\(451\) | −0.842280 | + | 0.0473015i | −0.0396614 | + | 0.00222734i | ||||
\(452\) | −7.64881 | + | 54.1791i | −0.359770 | + | 2.54837i | ||||
\(453\) | 13.8050 | − | 8.85535i | 0.648615 | − | 0.416061i | ||||
\(454\) | −0.566428 | + | 0.515797i | −0.0265838 | + | 0.0242076i | ||||
\(455\) | 0.638126 | + | 3.37258i | 0.0299158 | + | 0.158109i | ||||
\(456\) | −4.79510 | + | 0.494921i | −0.224551 | + | 0.0231768i | ||||
\(457\) | −3.72412 | − | 21.9186i | −0.174207 | − | 1.02531i | −0.929201 | − | 0.369576i | \(-0.879503\pi\) |
0.754994 | − | 0.655732i | \(-0.227640\pi\) | |||||||
\(458\) | −10.2035 | + | 25.9981i | −0.476778 | + | 1.21481i | ||||
\(459\) | 30.4168 | − | 7.94281i | 1.41973 | − | 0.370739i | ||||
\(460\) | −1.22073 | − | 1.31563i | −0.0569167 | − | 0.0613417i | ||||
\(461\) | −17.9307 | + | 27.3861i | −0.835117 | + | 1.27550i | 0.123941 | + | 0.992290i | \(0.460447\pi\) |
−0.959058 | + | 0.283209i | \(0.908601\pi\) | |||||||
\(462\) | 100.508 | + | 119.025i | 4.67604 | + | 5.53755i | ||||
\(463\) | 1.32143 | + | 35.3160i | 0.0614121 | + | 1.64127i | 0.600932 | + | 0.799300i | \(0.294796\pi\) |
−0.539520 | + | 0.841973i | \(0.681394\pi\) | |||||||
\(464\) | 7.22890 | − | 3.39836i | 0.335593 | − | 0.157765i | ||||
\(465\) | −1.60779 | − | 3.59305i | −0.0745594 | − | 0.166624i | ||||
\(466\) | −5.56748 | − | 0.364912i | −0.257909 | − | 0.0169042i | ||||
\(467\) | 29.9928 | − | 23.0143i | 1.38790 | − | 1.06497i | 0.398910 | − | 0.916990i | \(-0.369389\pi\) |
0.988990 | − | 0.147983i | \(-0.0472781\pi\) | |||||||
\(468\) | −52.6523 | − | 43.6242i | −2.43386 | − | 2.01653i | ||||
\(469\) | −47.8734 | + | 4.03808i | −2.21059 | + | 0.186461i | ||||
\(470\) | −3.27541 | + | 0.400097i | −0.151083 | + | 0.0184551i | ||||
\(471\) | −35.0057 | + | 4.94199i | −1.61298 | + | 0.227715i | ||||
\(472\) | 20.8556 | − | 20.8556i | 0.959959 | − | 0.959959i | ||||
\(473\) | 0.419468 | − | 33.5432i | 0.0192872 | − | 1.54232i | ||||
\(474\) | −37.8307 | − | 91.3313i | −1.73762 | − | 4.19499i | ||||
\(475\) | −2.07927 | − | 1.00132i | −0.0954034 | − | 0.0459439i | ||||
\(476\) | 49.7325 | + | 40.1813i | 2.27948 | + | 1.84171i | ||||
\(477\) | −32.6064 | − | 40.8871i | −1.49294 | − | 1.87209i | ||||
\(478\) | −0.183070 | − | 1.95226i | −0.00837342 | − | 0.0892943i | ||||
\(479\) | 1.24929 | − | 1.42454i | 0.0570815 | − | 0.0650890i | −0.722594 | − | 0.691272i | \(-0.757051\pi\) |
0.779676 | + | 0.626183i | \(0.215384\pi\) | |||||||
\(480\) | −0.689473 | + | 2.57315i | −0.0314700 | + | 0.117448i | ||||
\(481\) | −20.7142 | − | 19.5836i | −0.944486 | − | 0.892933i | ||||
\(482\) | 44.2354 | − | 2.06951i | 2.01487 | − | 0.0942635i | ||||
\(483\) | 29.0817 | − | 6.92440i | 1.32326 | − | 0.315071i | ||||
\(484\) | −25.7064 | − | 46.5122i | −1.16847 | − | 2.11419i | ||||
\(485\) | 0.389648 | + | 1.86747i | 0.0176930 | + | 0.0847972i | ||||
\(486\) | −15.2174 | + | 2.43938i | −0.690276 | + | 0.110653i | ||||
\(487\) | −25.2664 | + | 7.02396i | −1.14493 | + | 0.318286i | −0.787898 | − | 0.615806i | \(-0.788831\pi\) |
−0.357033 | + | 0.934092i | \(0.616212\pi\) | |||||||
\(488\) | −7.41431 | − | 33.9441i | −0.335630 | − | 1.53658i | ||||
\(489\) | −18.5112 | + | 11.6313i | −0.837105 | + | 0.525988i | ||||
\(490\) | −0.674824 | − | 6.53811i | −0.0304854 | − | 0.295361i | ||||
\(491\) | 17.0810 | + | 3.56396i | 0.770854 | + | 0.160839i | 0.573181 | − | 0.819429i | \(-0.305709\pi\) |
0.197673 | + | 0.980268i | \(0.436662\pi\) | |||||||
\(492\) | −1.67518 | + | 0.252493i | −0.0755231 | + | 0.0113833i | ||||
\(493\) | 4.19537 | + | 25.6819i | 0.188950 | + | 1.15666i | ||||
\(494\) | −3.43425 | + | 1.65385i | −0.154514 | + | 0.0744102i | ||||
\(495\) | 4.75209 | + | 4.24672i | 0.213590 | + | 0.190876i | ||||
\(496\) | 1.34948 | + | 7.51625i | 0.0605936 | + | 0.337489i | ||||
\(497\) | 10.0264 | − | 13.5853i | 0.449745 | − | 0.609382i | ||||
\(498\) | −0.788071 | + | 84.2834i | −0.0353143 | + | 3.77683i | ||||
\(499\) | 1.26696 | + | 2.34389i | 0.0567169 | + | 0.104927i | 0.906501 | − | 0.422205i | \(-0.138744\pi\) |
−0.849784 | + | 0.527132i | \(0.823267\pi\) | |||||||
\(500\) | 5.63506 | − | 5.32748i | 0.252007 | − | 0.238252i | ||||
\(501\) | 9.96901 | − | 10.3490i | 0.445382 | − | 0.462359i | ||||
\(502\) | −33.5968 | − | 11.0553i | −1.49950 | − | 0.493424i | ||||
\(503\) | 1.69885 | + | 10.5978i | 0.0757480 | + | 0.472534i | 0.996584 | + | 0.0825837i | \(0.0263172\pi\) |
−0.920836 | + | 0.389950i | \(0.872492\pi\) | |||||||
\(504\) | 62.3820 | + | 61.2263i | 2.77872 | + | 2.72723i | ||||
\(505\) | −2.95445 | − | 0.249205i | −0.131471 | − | 0.0110895i | ||||
\(506\) | −27.6174 | + | 1.03337i | −1.22774 | + | 0.0459389i | ||||
\(507\) | 2.34831 | + | 0.846437i | 0.104292 | + | 0.0375916i | ||||
\(508\) | −30.7539 | + | 21.8210i | −1.36448 | + | 0.968152i | ||||
\(509\) | −14.3003 | + | 8.25629i | −0.633850 | + | 0.365954i | −0.782242 | − | 0.622975i | \(-0.785924\pi\) |
0.148391 | + | 0.988929i | \(0.452590\pi\) | |||||||
\(510\) | 5.41452 | + | 3.24062i | 0.239759 | + | 0.143497i | ||||
\(511\) | −23.5010 | − | 7.24908i | −1.03962 | − | 0.320681i | ||||
\(512\) | 6.81731 | − | 12.3350i | 0.301285 | − | 0.545135i | ||||
\(513\) | 0.952002 | − | 3.42452i | 0.0420319 | − | 0.151196i | ||||
\(514\) | −46.5227 | + | 16.2790i | −2.05203 | + | 0.718035i | ||||
\(515\) | 0.817974 | − | 0.546553i | 0.0360443 | − | 0.0240840i | ||||
\(516\) | −5.45032 | − | 67.1447i | −0.239937 | − | 2.95588i | ||||
\(517\) | −17.9702 | + | 26.8944i | −0.790330 | + | 1.18281i | ||||
\(518\) | 56.5904 | + | 63.3247i | 2.48644 | + | 2.78233i | ||||
\(519\) | −47.4197 | − | 23.9386i | −2.08149 | − | 1.05079i | ||||
\(520\) | −0.229812 | − | 2.72454i | −0.0100779 | − | 0.119479i | ||||
\(521\) | −11.4390 | − | 1.18066i | −0.501151 | − | 0.0517258i | −0.151218 | − | 0.988500i | \(-0.548320\pi\) |
−0.349933 | + | 0.936775i | \(0.613796\pi\) | |||||||
\(522\) | 5.42262 | + | 82.7332i | 0.237342 | + | 3.62113i | ||||
\(523\) | 5.79411 | + | 1.55253i | 0.253359 | + | 0.0678872i | 0.383263 | − | 0.923639i | \(-0.374800\pi\) |
−0.129904 | + | 0.991527i | \(0.541467\pi\) | |||||||
\(524\) | 1.92787 | + | 68.7120i | 0.0842195 | + | 3.00170i | ||||
\(525\) | 15.4690 | + | 62.3741i | 0.675124 | + | 2.72223i | ||||
\(526\) | −4.00556 | + | 4.31696i | −0.174651 | + | 0.188229i | ||||
\(527\) | −24.7535 | − | 2.48040i | −1.07828 | − | 0.108048i | ||||
\(528\) | −10.6959 | − | 15.6879i | −0.465477 | − | 0.682730i | ||||
\(529\) | 7.37878 | − | 16.0848i | 0.320816 | − | 0.699341i | ||||
\(530\) | 0.590940 | − | 4.83775i | 0.0256688 | − | 0.210138i | ||||
\(531\) | 18.7312 | + | 42.9324i | 0.812865 | + | 1.86311i | ||||
\(532\) | 6.75363 | − | 2.57799i | 0.292807 | − | 0.111770i | ||||
\(533\) | −0.505640 | + | 0.273317i | −0.0219017 | + | 0.0118387i | ||||
\(534\) | 29.2803 | + | 72.6015i | 1.26708 | + | 3.14177i | ||||
\(535\) | −0.425788 | − | 0.105597i | −0.0184084 | − | 0.00456537i | ||||
\(536\) | 38.2640 | + | 0.715619i | 1.65275 | + | 0.0309100i | ||||
\(537\) | 29.5452 | + | 4.17109i | 1.27497 | + | 0.179996i | ||||
\(538\) | −43.5764 | + | 32.7946i | −1.87871 | + | 1.41388i | ||||
\(539\) | −52.8927 | − | 36.7907i | −2.27825 | − | 1.58469i | ||||
\(540\) | 4.78094 | + | 3.52849i | 0.205739 | + | 0.151842i | ||||
\(541\) | 5.61027 | − | 5.50633i | 0.241204 | − | 0.236735i | −0.569789 | − | 0.821791i | \(-0.692975\pi\) |
0.810993 | + | 0.585056i | \(0.198927\pi\) | |||||||
\(542\) | −9.24726 | + | 7.66166i | −0.397204 | + | 0.329096i | ||||
\(543\) | −4.16571 | + | 18.2512i | −0.178768 | + | 0.783233i | ||||
\(544\) | 11.9401 | + | 11.8691i | 0.511926 | + | 0.508885i | ||||
\(545\) | 1.02241 | − | 0.0766192i | 0.0437953 | − | 0.00328201i | ||||
\(546\) | 96.4750 | + | 44.2570i | 4.12875 | + | 1.89403i | ||||
\(547\) | 36.4903 | − | 15.5161i | 1.56021 | − | 0.663419i | 0.572529 | − | 0.819884i | \(-0.305962\pi\) |
0.987683 | + | 0.156465i | \(0.0500099\pi\) | |||||||
\(548\) | 6.20550 | − | 0.699192i | 0.265086 | − | 0.0298680i | ||||
\(549\) | 54.4829 | + | 8.73371i | 2.32527 | + | 0.372746i | ||||
\(550\) | −2.77639 | − | 59.3449i | −0.118386 | − | 2.53048i | ||||
\(551\) | 2.74875 | + | 1.04925i | 0.117101 | + | 0.0446997i | ||||
\(552\) | −23.6099 | + | 3.10831i | −1.00491 | + | 0.132298i | ||||
\(553\) | 38.7228 | + | 50.4645i | 1.64666 | + | 2.14597i | ||||
\(554\) | −2.42826 | − | 2.98721i | −0.103167 | − | 0.126914i | ||||
\(555\) | 4.07660 | + | 3.44238i | 0.173042 | + | 0.146121i | ||||
\(556\) | −6.64652 | − | 11.7648i | −0.281875 | − | 0.498938i | ||||
\(557\) | −4.11232 | − | 11.7523i | −0.174244 | − | 0.497962i | 0.823330 | − | 0.567562i | \(-0.192113\pi\) |
−0.997575 | + | 0.0696001i | \(0.977828\pi\) | |||||||
\(558\) | −77.7400 | − | 15.4635i | −3.29100 | − | 0.654620i | ||||
\(559\) | −9.46449 | − | 20.8044i | −0.400305 | − | 0.879931i | ||||
\(560\) | 1.24636i | 0.0526681i | ||||||||
\(561\) | 58.6981 | − | 19.5091i | 2.47823 | − | 0.823677i | ||||
\(562\) | 50.8102 | + | 3.80770i | 2.14330 | + | 0.160618i | ||||
\(563\) | −37.6507 | − | 20.8088i | −1.58679 | − | 0.876987i | −0.997618 | − | 0.0689792i | \(-0.978026\pi\) |
−0.589171 | − | 0.808008i | \(-0.700546\pi\) | |||||||
\(564\) | −30.8872 | + | 57.1417i | −1.30059 | + | 2.40610i | ||||
\(565\) | −0.899339 | − | 3.35638i | −0.0378355 | − | 0.141204i | ||||
\(566\) | −53.1843 | − | 26.2276i | −2.23550 | − | 1.10243i | ||||
\(567\) | −22.4635 | + | 10.0518i | −0.943380 | + | 0.422136i | ||||
\(568\) | −9.05572 | + | 9.94463i | −0.379970 | + | 0.417267i | ||||
\(569\) | −37.5255 | + | 17.2145i | −1.57315 | + | 0.721668i | −0.995513 | − | 0.0946258i | \(-0.969835\pi\) |
−0.577637 | + | 0.816294i | \(0.696025\pi\) | |||||||
\(570\) | 0.624437 | − | 0.345114i | 0.0261548 | − | 0.0144552i | ||||
\(571\) | 0.142973 | + | 15.2909i | 0.00598325 | + | 0.639903i | 0.950379 | + | 0.311093i | \(0.100695\pi\) |
−0.944396 | + | 0.328810i | \(0.893353\pi\) | |||||||
\(572\) | −50.6026 | − | 36.6206i | −2.11580 | − | 1.53118i | ||||
\(573\) | 11.1982 | + | 14.3147i | 0.467812 | + | 0.598004i | ||||
\(574\) | 1.56953 | − | 0.684781i | 0.0655111 | − | 0.0285822i | ||||
\(575\) | −10.4063 | − | 4.65651i | −0.433972 | − | 0.194190i | ||||
\(576\) | 43.2666 | + | 52.2207i | 1.80277 | + | 2.17586i | ||||
\(577\) | −28.9601 | − | 19.7446i | −1.20562 | − | 0.821980i | −0.217563 | − | 0.976046i | \(-0.569811\pi\) |
−0.988061 | + | 0.154066i | \(0.950763\pi\) | |||||||
\(578\) | 34.7882 | − | 19.4983i | 1.44700 | − | 0.811021i | ||||
\(579\) | −47.6742 | + | 18.7108i | −1.98127 | + | 0.777592i | ||||
\(580\) | −3.27751 | + | 3.66753i | −0.136091 | + | 0.152286i | ||||
\(581\) | −13.5465 | − | 52.5155i | −0.562004 | − | 2.17871i | ||||
\(582\) | 54.0698 | + | 23.5904i | 2.24127 | + | 0.977854i | ||||
\(583\) | −32.1658 | − | 35.3232i | −1.33217 | − | 1.46294i | ||||
\(584\) | 18.0287 | + | 7.66600i | 0.746034 | + | 0.317222i | ||||
\(585\) | 4.16114 | + | 1.24105i | 0.172042 | + | 0.0513113i | ||||
\(586\) | 8.46649 | − | 11.9324i | 0.349748 | − | 0.492923i | ||||
\(587\) | 0.980313 | + | 0.944319i | 0.0404619 | + | 0.0389762i | 0.713718 | − | 0.700433i | \(-0.247010\pi\) |
−0.673256 | + | 0.739409i | \(0.735105\pi\) | |||||||
\(588\) | −112.651 | − | 63.6423i | −4.64566 | − | 2.62457i | ||||
\(589\) | −1.64904 | + | 2.27866i | −0.0679476 | + | 0.0938906i | ||||
\(590\) | −1.63273 | + | 4.04841i | −0.0672184 | + | 0.166670i | ||||
\(591\) | −0.527197 | − | 4.67901i | −0.0216860 | − | 0.192469i | ||||
\(592\) | −6.06844 | − | 8.38542i | −0.249411 | − | 0.344639i | ||||
\(593\) | 43.1395 | − | 10.6988i | 1.77153 | − | 0.439347i | 0.787347 | − | 0.616510i | \(-0.211454\pi\) |
0.984182 | + | 0.177163i | \(0.0566920\pi\) | |||||||
\(594\) | 89.2060 | − | 20.3607i | 3.66017 | − | 0.835409i | ||||
\(595\) | −3.90494 | − | 1.11241i | −0.160087 | − | 0.0456042i | ||||
\(596\) | 17.2556 | + | 9.96255i | 0.706819 | + | 0.408082i | ||||
\(597\) | 14.9257 | − | 1.39963i | 0.610869 | − | 0.0572832i | ||||
\(598\) | −16.7294 | + | 8.64261i | −0.684116 | + | 0.353423i | ||||
\(599\) | 28.5640 | + | 33.1920i | 1.16709 | + | 1.35619i | 0.922236 | + | 0.386628i | \(0.126360\pi\) |
0.244857 | + | 0.969559i | \(0.421259\pi\) | |||||||
\(600\) | −7.15607 | − | 50.6888i | −0.292145 | − | 2.06936i | ||||
\(601\) | −1.55698 | − | 7.82749i | −0.0635107 | − | 0.319290i | 0.935950 | − | 0.352133i | \(-0.114544\pi\) |
−0.999461 | + | 0.0328436i | \(0.989544\pi\) | |||||||
\(602\) | 22.8877 | + | 64.1319i | 0.932831 | + | 2.61382i | ||||
\(603\) | −23.2590 | + | 56.1521i | −0.947178 | + | 2.28669i | ||||
\(604\) | 14.6086 | − | 13.0551i | 0.594417 | − | 0.531204i | ||||
\(605\) | 2.65815 | + | 2.07944i | 0.108069 | + | 0.0845413i | ||||
\(606\) | −59.1533 | + | 70.0516i | −2.40294 | + | 2.84565i | ||||
\(607\) | −5.45850 | − | 18.3019i | −0.221554 | − | 0.742849i | −0.994155 | − | 0.107958i | \(-0.965569\pi\) |
0.772602 | − | 0.634891i | \(-0.218955\pi\) | |||||||
\(608\) | 1.83866 | − | 0.492669i | 0.0745677 | − | 0.0199803i | ||||
\(609\) | −26.3352 | − | 77.5810i | −1.06716 | − | 3.14374i | ||||
\(610\) | 2.97569 | + | 4.19384i | 0.120482 | + | 0.169804i | ||||
\(611\) | −3.28463 | + | 21.7921i | −0.132882 | + | 0.881615i | ||||
\(612\) | 74.0388 | − | 32.5657i | 2.99284 | − | 1.31639i | ||||
\(613\) | 21.3811 | − | 26.8111i | 0.863576 | − | 1.08289i | −0.132214 | − | 0.991221i | \(-0.542209\pi\) |
0.995790 | − | 0.0916683i | \(-0.0292199\pi\) | |||||||
\(614\) | 27.2373 | + | 17.8333i | 1.09921 | + | 0.719694i | ||||
\(615\) | 0.0916257 | − | 0.0563843i | 0.00369471 | − | 0.00227363i | ||||
\(616\) | 60.5235 | + | 52.0847i | 2.43856 | + | 2.09855i | ||||
\(617\) | 17.3294 | − | 3.78522i | 0.697657 | − | 0.152387i | 0.149499 | − | 0.988762i | \(-0.452234\pi\) |
0.548158 | + | 0.836375i | \(0.315329\pi\) | |||||||
\(618\) | 0.853208 | − | 30.4095i | 0.0343211 | − | 1.22325i | ||||
\(619\) | −0.232114 | + | 0.778255i | −0.00932944 | + | 0.0312807i | −0.962824 | − | 0.270129i | \(-0.912934\pi\) |
0.953495 | + | 0.301410i | \(0.0974573\pi\) | |||||||
\(620\) | −2.57575 | − | 3.93401i | −0.103444 | − | 0.157994i | ||||
\(621\) | 4.22658 | − | 17.0424i | 0.169607 | − | 0.683887i | ||||
\(622\) | −11.0215 | − | 2.40740i | −0.441923 | − | 0.0965280i | ||||
\(623\) | −30.2893 | − | 40.2474i | −1.21351 | − | 1.61248i | ||||
\(624\) | −11.1425 | − | 6.57281i | −0.446058 | − | 0.263123i | ||||
\(625\) | 9.70141 | − | 22.2359i | 0.388056 | − | 0.889435i | ||||
\(626\) | −0.698701 | + | 14.9346i | −0.0279257 | + | 0.596908i | ||||
\(627\) | 1.42846 | − | 6.84620i | 0.0570474 | − | 0.273411i | ||||
\(628\) | −40.3549 | + | 12.4478i | −1.61033 | + | 0.496722i | ||||
\(629\) | 31.6885 | − | 11.5287i | 1.26350 | − | 0.459681i | ||||
\(630\) | −12.0424 | − | 4.72629i | −0.479781 | − | 0.188300i | ||||
\(631\) | 12.8253 | − | 6.47451i | 0.510567 | − | 0.257746i | −0.176552 | − | 0.984291i | \(-0.556494\pi\) |
0.687119 | + | 0.726545i | \(0.258875\pi\) | |||||||
\(632\) | −26.5558 | − | 43.1537i | −1.05633 | − | 1.71656i | ||||
\(633\) | 11.8506 | − | 62.6320i | 0.471020 | − | 2.48940i | ||||
\(634\) | 3.22947 | − | 38.2870i | 0.128259 | − | 1.52057i | ||||
\(635\) | 1.25505 | − | 2.03949i | 0.0498052 | − | 0.0809346i | ||||
\(636\) | −70.9349 | − | 64.5943i | −2.81275 | − | 2.56133i | ||||
\(637\) | −43.2782 | − | 7.35326i | −1.71474 | − | 0.291347i | ||||
\(638\) | 9.88617 | + | 75.0929i | 0.391397 | + | 2.97296i | ||||
\(639\) | −9.44739 | − | 19.1574i | −0.373733 | − | 0.757855i | ||||
\(640\) | −0.462340 | + | 4.47943i | −0.0182756 | + | 0.177065i | ||||
\(641\) | −4.77220 | + | 14.9726i | −0.188491 | + | 0.591383i | 0.811485 | + | 0.584373i | \(0.198660\pi\) |
−0.999975 | + | 0.00700914i | \(0.997769\pi\) | |||||||
\(642\) | −10.2824 | + | 8.84872i | −0.405814 | + | 0.349231i | ||||
\(643\) | −15.8513 | + | 21.0626i | −0.625113 | + | 0.830629i | −0.995148 | − | 0.0983884i | \(-0.968631\pi\) |
0.370035 | + | 0.929018i | \(0.379346\pi\) | |||||||
\(644\) | 32.9926 | − | 13.6660i | 1.30009 | − | 0.538515i | ||||
\(645\) | 1.98707 | + | 3.78860i | 0.0782407 | + | 0.149176i | ||||
\(646\) | 0.0708825 | − | 4.50844i | 0.00278884 | − | 0.177382i | ||||
\(647\) | 0.943537 | − | 1.95927i | 0.0370943 | − | 0.0770270i | −0.881598 | − | 0.472001i | \(-0.843532\pi\) |
0.918692 | + | 0.394974i | \(0.129246\pi\) | |||||||
\(648\) | 18.6216 | − | 6.12763i | 0.731527 | − | 0.240716i | ||||
\(649\) | 19.6399 | + | 38.0166i | 0.770932 | + | 1.49228i | ||||
\(650\) | −18.9142 | − | 35.7874i | −0.741876 | − | 1.40370i | ||||
\(651\) | 78.1568 | − | 5.12267i | 3.06321 | − | 0.200773i | ||||
\(652\) | −19.6347 | + | 17.2192i | −0.768956 | + | 0.674356i | ||||
\(653\) | −17.5556 | + | 45.9908i | −0.687004 | + | 1.79976i | −0.0924291 | + | 0.995719i | \(0.529463\pi\) |
−0.594575 | + | 0.804040i | \(0.702680\pi\) | |||||||
\(654\) | 16.3632 | − | 27.1562i | 0.639852 | − | 1.06189i | ||||
\(655\) | −1.82016 | − | 3.96772i | −0.0711194 | − | 0.155032i | ||||
\(656\) | −0.198854 | + | 0.0633806i | −0.00776396 | + | 0.00247460i | ||||
\(657\) | −21.7934 | + | 22.2048i | −0.850240 | + | 0.866290i | ||||
\(658\) | 15.2080 | − | 63.8718i | 0.592869 | − | 2.48998i | ||||
\(659\) | −10.5809 | + | 12.2952i | −0.412173 | + | 0.478954i | −0.925233 | − | 0.379399i | \(-0.876131\pi\) |
0.513060 | + | 0.858353i | \(0.328512\pi\) | |||||||
\(660\) | 9.84096 | + | 6.31259i | 0.383059 | + | 0.245717i | ||||
\(661\) | 27.1311 | − | 4.60975i | 1.05528 | − | 0.179299i | 0.386141 | − | 0.922440i | \(-0.373808\pi\) |
0.669135 | + | 0.743141i | \(0.266665\pi\) | |||||||
\(662\) | −16.6302 | − | 53.9137i | −0.646350 | − | 2.09541i | ||||
\(663\) | 30.5382 | − | 29.0441i | 1.18601 | − | 1.12798i | ||||
\(664\) | 6.43899 | + | 42.7199i | 0.249881 | + | 1.65785i | ||||
\(665\) | −0.330629 | + | 0.318489i | −0.0128212 | + | 0.0123505i | ||||
\(666\) | 104.033 | − | 26.8356i | 4.03119 | − | 1.03986i | ||||
\(667\) | 13.7189 | + | 4.80044i | 0.531197 | + | 0.185874i | ||||
\(668\) | 9.80170 | − | 14.0916i | 0.379239 | − | 0.545219i | ||||
\(669\) | −29.6261 | + | 10.6786i | −1.14541 | + | 0.412857i | ||||
\(670\) | −5.25306 | + | 2.11857i | −0.202943 | + | 0.0818473i | ||||
\(671\) | 50.1866 | + | 4.70616i | 1.93743 | + | 0.181679i | ||||
\(672\) | −43.2294 | − | 30.6729i | −1.66761 | − | 1.18323i | ||||
\(673\) | 13.8209 | + | 19.8698i | 0.532756 | + | 0.765925i | 0.992515 | − | 0.122119i | \(-0.0389690\pi\) |
−0.459759 | + | 0.888044i | \(0.652064\pi\) | |||||||
\(674\) | 9.11755 | + | 32.7974i | 0.351195 | + | 1.26331i | ||||
\(675\) | 36.7188 | + | 8.74282i | 1.41331 | + | 0.336511i | ||||
\(676\) | 2.92988 | + | 0.554363i | 0.112688 | + | 0.0213216i | ||||
\(677\) | −23.0850 | + | 19.4935i | −0.887227 | + | 0.749197i | −0.968897 | − | 0.247463i | \(-0.920403\pi\) |
0.0816700 | + | 0.996659i | \(0.473975\pi\) | |||||||
\(678\) | −100.741 | − | 37.3794i | −3.86892 | − | 1.43555i | ||||
\(679\) | −37.5344 | − | 5.65740i | −1.44044 | − | 0.217111i | ||||
\(680\) | 3.00320 | + | 1.20081i | 0.115168 | + | 0.0460488i | ||||
\(681\) | −0.478841 | − | 0.829376i | −0.0183492 | − | 0.0317818i | ||||
\(682\) | −71.7892 | − | 9.45123i | −2.74895 | − | 0.361906i | ||||
\(683\) | 1.58527 | + | 0.856898i | 0.0606587 | + | 0.0327883i | 0.505561 | − | 0.862791i | \(-0.331285\pi\) |
−0.444902 | + | 0.895579i | \(0.646762\pi\) | |||||||
\(684\) | 1.02393 | − | 9.08765i | 0.0391510 | − | 0.347475i | ||||
\(685\) | −0.345284 | + | 0.195068i | −0.0131926 | + | 0.00745317i | ||||
\(686\) | 56.2534 | + | 14.5107i | 2.14776 | + | 0.554021i | ||||
\(687\) | −29.0295 | − | 19.3969i | −1.10755 | − | 0.740039i | ||||
\(688\) | −1.97233 | − | 8.06156i | −0.0751942 | − | 0.307344i | ||||
\(689\) | −30.0726 | − | 12.4565i | −1.14567 | − | 0.474554i | ||||
\(690\) | 3.03569 | − | 1.79071i | 0.115567 | − | 0.0681711i | ||||
\(691\) | 0.676016 | + | 5.53422i | 0.0257169 | + | 0.210532i | 0.999883 | − | 0.0153010i | \(-0.00487065\pi\) |
−0.974166 | + | 0.225833i | \(0.927490\pi\) | |||||||
\(692\) | −60.4578 | − | 19.2696i | −2.29826 | − | 0.732521i | ||||
\(693\) | −112.115 | + | 59.2546i | −4.25891 | + | 2.25090i | ||||
\(694\) | 7.44062 | + | 6.52525i | 0.282442 | + | 0.247695i | ||||
\(695\) | 0.680787 | + | 0.522386i | 0.0258237 | + | 0.0198152i | ||||
\(696\) | 14.5225 | + | 63.6271i | 0.550473 | + | 2.41178i | ||||
\(697\) | −0.0210940 | − | 0.679598i | −0.000798993 | − | 0.0257416i | ||||
\(698\) | 49.7352 | + | 46.1475i | 1.88250 | + | 1.74671i | ||||
\(699\) | 1.93088 | − | 6.70223i | 0.0730325 | − | 0.253501i | ||||
\(700\) | 30.0392 | + | 70.6454i | 1.13537 | + | 2.67015i | ||||
\(701\) | 0.404073 | − | 10.7991i | 0.0152616 | − | 0.407875i | −0.970639 | − | 0.240542i | \(-0.922675\pi\) |
0.985900 | − | 0.167333i | \(-0.0535156\pi\) | |||||||
\(702\) | 49.1027 | − | 38.4125i | 1.85326 | − | 1.44979i | ||||
\(703\) | 0.673750 | − | 3.75260i | 0.0254110 | − | 0.141532i | ||||
\(704\) | 42.5604 | + | 45.0177i | 1.60406 | + | 1.69667i | ||||
\(705\) | 0.385126 | − | 4.10699i | 0.0145047 | − | 0.154678i | ||||
\(706\) | 45.5976 | − | 29.8545i | 1.71609 | − | 1.12359i | ||||
\(707\) | 25.0991 | − | 53.3900i | 0.943947 | − | 2.00794i | ||||
\(708\) | 46.3956 | + | 72.3280i | 1.74365 | + | 2.71825i | ||||
\(709\) | 17.9849 | − | 30.4888i | 0.675436 | − | 1.14503i | −0.305778 | − | 0.952103i | \(-0.598916\pi\) |
0.981213 | − | 0.192926i | \(-0.0617978\pi\) | |||||||
\(710\) | 0.657466 | − | 1.87893i | 0.0246743 | − | 0.0705150i | ||||
\(711\) | 79.2039 | − | 14.2204i | 2.97038 | − | 0.533308i | ||||
\(712\) | 20.7089 | + | 34.3682i | 0.776098 | + | 1.28800i | ||||
\(713\) | −7.82736 | + | 11.4806i | −0.293137 | + | 0.429953i | ||||
\(714\) | −97.9316 | + | 78.5763i | −3.66500 | + | 2.94064i | ||||
\(715\) | 3.86731 | + | 0.882688i | 0.144629 | + | 0.0330107i | ||||
\(716\) | 35.6373 | − | 0.666493i | 1.33183 | − | 0.0249080i | ||||
\(717\) | 2.43313 | + | 0.297212i | 0.0908671 | + | 0.0110996i | ||||
\(718\) | 24.8004 | + | 0.927964i | 0.925541 | + | 0.0346313i | ||||
\(719\) | −2.59671 | − | 1.04726i | −0.0968410 | − | 0.0390561i | 0.325098 | − | 0.945680i | \(-0.394603\pi\) |
−0.421939 | + | 0.906624i | \(0.638650\pi\) | |||||||
\(720\) | 1.40084 | + | 0.723692i | 0.0522063 | + | 0.0269704i | ||||
\(721\) | 4.53402 | + | 19.0424i | 0.168856 | + | 0.709174i | ||||
\(722\) | 37.7400 | + | 22.7406i | 1.40454 | + | 0.846316i | ||||
\(723\) | −9.27297 | + | 54.5768i | −0.344865 | + | 2.02973i | ||||
\(724\) | −1.46260 | + | 22.3149i | −0.0543569 | + | 0.829327i | ||||
\(725\) | −10.0432 | + | 29.5862i | −0.372994 | + | 1.09880i | ||||
\(726\) | 100.009 | − | 29.8277i | 3.71170 | − | 1.10701i | ||||
\(727\) | 12.2295 | + | 1.37794i | 0.453568 | + | 0.0511048i | 0.335794 | − | 0.941936i | \(-0.390996\pi\) |
0.117774 | + | 0.993040i | \(0.462424\pi\) | |||||||
\(728\) | 52.4167 | + | 14.5716i | 1.94269 | + | 0.540060i | ||||
\(729\) | 2.01545 | − | 35.8883i | 0.0746461 | − | 1.32920i | ||||
\(730\) | −2.89951 | −0.107316 | ||||||||
\(731\) | 27.0179 | + | 1.01569i | 0.999294 | + | 0.0375667i | ||||
\(732\) | 101.225 | 3.74139 | ||||||||
\(733\) | 0.428193 | − | 7.62469i | 0.0158157 | − | 0.281624i | −0.980539 | − | 0.196322i | \(-0.937100\pi\) |
0.996355 | − | 0.0853021i | \(-0.0271855\pi\) | |||||||
\(734\) | −62.8381 | − | 17.4687i | −2.31940 | − | 0.644783i | ||||
\(735\) | 8.16501 | + | 0.919976i | 0.301171 | + | 0.0339338i | ||||
\(736\) | 9.01117 | − | 2.68757i | 0.332156 | − | 0.0990652i | ||||
\(737\) | −17.8472 | + | 52.5761i | −0.657409 | + | 1.93667i | ||||
\(738\) | 0.141685 | − | 2.16170i | 0.00521550 | − | 0.0795731i | ||||
\(739\) | −7.28573 | + | 42.8807i | −0.268010 | + | 1.57739i | 0.457519 | + | 0.889200i | \(0.348738\pi\) |
−0.725528 | + | 0.688192i | \(0.758405\pi\) | |||||||
\(740\) | 5.45923 | + | 3.28951i | 0.200685 | + | 0.120925i | ||||
\(741\) | −1.10371 | − | 4.63545i | −0.0405457 | − | 0.170287i | ||||
\(742\) | 86.1573 | + | 44.5099i | 3.16293 | + | 1.63401i | ||||
\(743\) | −16.8255 | − | 6.78574i | −0.617267 | − | 0.248945i | 0.0440759 | − | 0.999028i | \(-0.485966\pi\) |
−0.661343 | + | 0.750083i | \(0.730013\pi\) | |||||||
\(744\) | −62.3485 | − | 2.33292i | −2.28581 | − | 0.0855288i | ||||
\(745\) | −1.25601 | − | 0.153425i | −0.0460168 | − | 0.00562104i | ||||
\(746\) | −75.0050 | + | 1.40275i | −2.74613 | + | 0.0513585i | ||||
\(747\) | −66.8906 | − | 15.2673i | −2.44740 | − | 0.558603i | ||||
\(748\) | 65.5457 | − | 34.1095i | 2.39659 | − | 1.24717i | ||||
\(749\) | 4.91713 | − | 7.21211i | 0.179668 | − | 0.263525i | ||||
\(750\) | 7.85964 | + | 13.0438i | 0.286994 | + | 0.476292i | ||||
\(751\) | −45.5464 | + | 8.17751i | −1.66201 | + | 0.298402i | −0.925705 | − | 0.378245i | \(-0.876528\pi\) |
−0.736307 | + | 0.676647i | \(0.763432\pi\) | |||||||
\(752\) | −2.64302 | + | 7.55332i | −0.0963810 | + | 0.275441i | ||||
\(753\) | 22.4643 | − | 38.0826i | 0.818646 | − | 1.38781i | ||||
\(754\) | 27.8630 | + | 43.4367i | 1.01471 | + | 1.58187i | ||||
\(755\) | −0.529333 | + | 1.12598i | −0.0192644 | + | 0.0409787i | ||||
\(756\) | −98.9165 | + | 64.7643i | −3.59756 | + | 2.35546i | ||||
\(757\) | 1.36555 | − | 14.5623i | 0.0496318 | − | 0.529275i | −0.935002 | − | 0.354643i | \(-0.884603\pi\) |
0.984634 | − | 0.174632i | \(-0.0558736\pi\) | |||||||
\(758\) | 14.5983 | + | 15.4411i | 0.530234 | + | 0.560846i | ||||
\(759\) | 6.10531 | − | 34.0048i | 0.221609 | − | 1.23430i | ||||
\(760\) | 0.288030 | − | 0.225323i | 0.0104479 | − | 0.00817332i | ||||
\(761\) | −1.38220 | + | 36.9402i | −0.0501049 | + | 1.33908i | 0.716782 | + | 0.697298i | \(0.245614\pi\) |
−0.766886 | + | 0.641783i | \(0.778195\pi\) | |||||||
\(762\) | −28.9772 | − | 68.1478i | −1.04973 | − | 2.46873i | ||||
\(763\) | −5.64762 | + | 19.6033i | −0.204458 | + | 0.709688i | ||||
\(764\) | 15.9149 | + | 14.7668i | 0.575780 | + | 0.534245i | ||||
\(765\) | −3.51768 | + | 3.74305i | −0.127182 | + | 0.135330i | ||||
\(766\) | 1.82634 | + | 8.00171i | 0.0659883 | + | 0.289114i | ||||
\(767\) | 23.1298 | + | 17.7481i | 0.835169 | + | 0.640848i | ||||
\(768\) | 51.2963 | + | 44.9857i | 1.85100 | + | 1.62328i | ||||
\(769\) | 44.2036 | − | 23.3623i | 1.59402 | − | 0.842465i | 0.594766 | − | 0.803899i | \(-0.297245\pi\) |
0.999256 | − | 0.0385669i | \(-0.0122793\pi\) | |||||||
\(770\) | −11.2598 | − | 3.58884i | −0.405777 | − | 0.129333i | ||||
\(771\) | −7.47091 | − | 61.1608i | −0.269058 | − | 2.20265i | ||||
\(772\) | −52.6940 | + | 31.0834i | −1.89650 | + | 1.11872i | ||||
\(773\) | 22.0763 | + | 9.14432i | 0.794031 | + | 0.328898i | 0.742563 | − | 0.669776i | \(-0.233610\pi\) |
0.0514680 | + | 0.998675i | \(0.483610\pi\) | |||||||
\(774\) | 85.3708 | + | 11.5134i | 3.06859 | + | 0.413840i | ||||
\(775\) | −24.8358 | − | 16.5948i | −0.892128 | − | 0.596101i | ||||
\(776\) | 29.2787 | + | 7.55251i | 1.05104 | + | 0.271119i | ||||
\(777\) | −92.4348 | + | 52.2211i | −3.31608 | + | 1.87342i | ||||
\(778\) | 1.36741 | − | 12.1361i | 0.0490242 | − | 0.435102i | ||||
\(779\) | −0.0676279 | − | 0.0365554i | −0.00242302 | − | 0.00130973i | ||||
\(780\) | 7.89777 | + | 1.03976i | 0.282786 | + | 0.0372294i | ||||
\(781\) | −9.75653 | − | 16.8988i | −0.349116 | − | 0.604687i | ||||
\(782\) | −0.274616 | − | 22.2728i | −0.00982026 | − | 0.796473i | ||||
\(783\) | −47.5836 | − | 7.17207i | −1.70050 | − | 0.256309i | ||||
\(784\) | −14.9445 | − | 5.54509i | −0.533733 | − | 0.198039i | ||||
\(785\) | 2.04907 | − | 1.73029i | 0.0731345 | − | 0.0617566i | ||||
\(786\) | −132.636 | − | 25.0961i | −4.73098 | − | 0.895149i | ||||
\(787\) | −7.22855 | − | 1.72113i | −0.257670 | − | 0.0613517i | 0.100751 | − | 0.994912i | \(-0.467875\pi\) |
−0.358421 | + | 0.933560i | \(0.616685\pi\) | |||||||
\(788\) | −1.50652 | − | 5.41921i | −0.0536675 | − | 0.193051i | ||||
\(789\) | −4.20377 | − | 6.04360i | −0.149658 | − | 0.215158i | ||||
\(790\) | 6.11616 | + | 4.33964i | 0.217603 | + | 0.154398i | ||||
\(791\) | 68.8379 | + | 6.45515i | 2.44760 | + | 0.229519i | ||||
\(792\) | 93.6835 | − | 37.7827i | 3.32890 | − | 1.34255i | ||||
\(793\) | 32.3093 | − | 11.6457i | 1.14734 | − | 0.413552i | ||||
\(794\) | 11.9651 | − | 17.2018i | 0.424626 | − | 0.610469i | ||||
\(795\) | 5.75070 | + | 2.01226i | 0.203956 | + | 0.0713674i | ||||
\(796\) | 17.3403 | − | 4.47297i | 0.614609 | − | 0.158540i | ||||
\(797\) | 27.4130 | − | 26.4065i | 0.971020 | − | 0.935366i | −0.0269129 | − | 0.999638i | \(-0.508568\pi\) |
0.997932 | + | 0.0642717i | \(0.0204724\pi\) | |||||||
\(798\) | 2.11583 | + | 14.0376i | 0.0748996 | + | 0.496926i | ||||
\(799\) | −21.3062 | − | 15.0224i | −0.753761 | − | 0.531453i | ||||
\(800\) | 5.95825 | + | 19.3162i | 0.210656 | + | 0.682930i | ||||
\(801\) | −62.8235 | + | 10.6741i | −2.21976 | + | 0.377152i | ||||
\(802\) | −73.2286 | − | 46.9733i | −2.58579 | − | 1.65868i | ||||
\(803\) | −18.5395 | + | 21.5432i | −0.654243 | + | 0.760244i | ||||
\(804\) | −25.8261 | + | 108.467i | −0.910816 | + | 3.82532i | ||||
\(805\) | −1.58854 | + | 1.61853i | −0.0559886 | + | 0.0570455i | ||||
\(806\) | −47.0050 | + | 14.9818i | −1.65568 | + | 0.527712i | ||||
\(807\) | −28.4274 | − | 61.9684i | −1.00069 | − | 2.18139i | ||||
\(808\) | −24.2543 | + | 40.2523i | −0.853265 | + | 1.41607i | ||||
\(809\) | 4.20110 | − | 11.0057i | 0.147703 | − | 0.386940i | −0.840145 | − | 0.542361i | \(-0.817530\pi\) |
0.987848 | + | 0.155421i | \(0.0496733\pi\) | |||||||
\(810\) | −2.18142 | + | 1.91305i | −0.0766472 | + | 0.0672178i | ||||
\(811\) | 54.3767 | − | 3.56404i | 1.90942 | − | 0.125150i | 0.935688 | − | 0.352830i | \(-0.114781\pi\) |
0.973736 | + | 0.227680i | \(0.0731139\pi\) | |||||||
\(812\) | −45.7311 | − | 86.5275i | −1.60485 | − | 3.03652i | ||||
\(813\) | −6.89034 | − | 13.3376i | −0.241655 | − | 0.467768i | ||||
\(814\) | 93.2296 | − | 30.6781i | 3.26770 | − | 1.07527i | ||||
\(815\) | 0.719587 | − | 1.49424i | 0.0252060 | − | 0.0523409i | ||||
\(816\) | 12.8562 | − | 8.30090i | 0.450056 | − | 0.290590i | ||||
\(817\) | 1.63454 | − | 2.58323i | 0.0571854 | − | 0.0903759i | ||||
\(818\) | −59.1205 | + | 24.4885i | −2.06710 | + | 0.856220i | ||||
\(819\) | −51.9544 | + | 69.0353i | −1.81543 | + | 2.41229i | ||||
\(820\) | 0.0974117 | − | 0.0838295i | 0.00340176 | − | 0.00292745i | ||||
\(821\) | 1.98253 | − | 6.22011i | 0.0691907 | − | 0.217083i | −0.911977 | − | 0.410241i | \(-0.865444\pi\) |
0.981168 | + | 0.193158i | \(0.0618730\pi\) | |||||||
\(822\) | −1.25907 | + | 12.1987i | −0.0439152 | + | 0.425477i | ||||
\(823\) | 10.6721 | + | 21.6409i | 0.372007 | + | 0.754355i | 0.999710 | − | 0.0240977i | \(-0.00767129\pi\) |
−0.627703 | + | 0.778453i | \(0.716005\pi\) | |||||||
\(824\) | −2.03528 | − | 15.4595i | −0.0709024 | − | 0.538558i | ||||
\(825\) | 73.2187 | + | 12.4404i | 2.54915 | + | 0.433117i | ||||
\(826\) | −64.2212 | − | 58.4807i | −2.23454 | − | 2.03480i | ||||
\(827\) | 18.6094 | − | 30.2407i | 0.647113 | − | 1.05157i | −0.346425 | − | 0.938078i | \(-0.612605\pi\) |
0.993538 | − | 0.113496i | \(-0.0362050\pi\) | |||||||
\(828\) | 3.79716 | − | 45.0172i | 0.131960 | − | 1.56446i | ||||
\(829\) | −8.51579 | + | 45.0070i | −0.295766 | + | 1.56316i | 0.447575 | + | 0.894246i | \(0.352288\pi\) |
−0.743341 | + | 0.668913i | \(0.766760\pi\) | |||||||
\(830\) | −3.35109 | − | 5.44560i | −0.116318 | − | 0.189020i | ||||
\(831\) | 4.29606 | − | 2.16875i | 0.149029 | − | 0.0752332i | ||||
\(832\) | 39.2921 | + | 15.4210i | 1.36221 | + | 0.534627i | ||||
\(833\) | 30.7117 | − | 41.8733i | 1.06410 | − | 1.45083i | ||||
\(834\) | 25.3569 | − | 7.82155i | 0.878036 | − | 0.270838i | ||||
\(835\) | −0.222652 | + | 1.06710i | −0.00770518 | + | 0.0369286i | ||||
\(836\) | 0.390421 | − | 8.34518i | 0.0135030 | − | 0.288624i | ||||
\(837\) | 18.3966 | − | 42.1655i | 0.635880 | − | 1.45745i | ||||
\(838\) | −4.24868 | − | 2.50623i | −0.146768 | − | 0.0865764i | ||||
\(839\) | −22.0351 | − | 29.2795i | −0.760736 | − | 1.01084i | −0.999212 | − | 0.0396924i | \(-0.987362\pi\) |
0.238476 | − | 0.971148i | \(-0.423352\pi\) | |||||||
\(840\) | −9.94857 | − | 2.17304i | −0.343258 | − | 0.0749769i | ||||
\(841\) | 2.60765 | − | 10.5145i | 0.0899190 | − | 0.362570i | ||||
\(842\) | 19.1081 | + | 29.1843i | 0.658508 | + | 1.00576i | ||||
\(843\) | −18.2047 | + | 61.0388i | −0.627004 | + | 2.10229i | ||||
\(844\) | 2.13559 | − | 76.1152i | 0.0735099 | − | 2.61999i | ||||
\(845\) | −0.185002 | + | 0.0404095i | −0.00636427 | + | 0.00139013i | ||||
\(846\) | −62.9583 | − | 54.1800i | −2.16455 | − | 1.86275i | ||||
\(847\) | −57.1909 | + | 35.1939i | −1.96510 | + | 1.20928i | ||||
\(848\) | −9.88848 | − | 6.47436i | −0.339572 | − | 0.222330i | ||||
\(849\) | 46.2195 | − | 57.9574i | 1.58625 | − | 1.98909i | ||||
\(850\) | 47.8715 | − | 1.03797i | 1.64198 | − | 0.0356021i | ||||
\(851\) | 2.80710 | − | 18.6239i | 0.0962261 | − | 0.638419i | ||||
\(852\) | −22.6755 | − | 31.9581i | −0.776850 | − | 1.09487i | ||||
\(853\) | 5.13019 | + | 15.1131i | 0.175654 | + | 0.517461i | 0.998725 | − | 0.0504776i | \(-0.0160744\pi\) |
−0.823071 | + | 0.567939i | \(0.807741\pi\) | |||||||
\(854\) | −98.8329 | + | 26.4822i | −3.38199 | + | 0.906202i | ||||
\(855\) | 0.165987 | + | 0.556541i | 0.00567665 | + | 0.0190333i | ||||
\(856\) | −4.48605 | + | 5.31255i | −0.153330 | + | 0.181579i | ||||
\(857\) | −15.4782 | − | 12.1085i | −0.528726 | − | 0.413617i | 0.316046 | − | 0.948744i | \(-0.397645\pi\) |
−0.844772 | + | 0.535127i | \(0.820264\pi\) | |||||||
\(858\) | 91.4647 | − | 81.7379i | 3.12255 | − | 2.79049i | ||||
\(859\) | −3.07419 | + | 7.42175i | −0.104890 | + | 0.253227i | −0.967608 | − | 0.252459i | \(-0.918761\pi\) |
0.862718 | + | 0.505686i | \(0.168761\pi\) | |||||||
\(860\) | 3.06008 | + | 4.09294i | 0.104348 | + | 0.139568i | ||||
\(861\) | 0.417626 | + | 2.09955i | 0.0142327 | + | 0.0715524i | ||||
\(862\) | 6.60673 | + | 46.7977i | 0.225026 | + | 1.59393i | ||||
\(863\) | −36.7525 | − | 42.7072i | −1.25107 | − | 1.45377i | −0.840381 | − | 0.541996i | \(-0.817669\pi\) |
−0.410690 | − | 0.911775i | \(-0.634712\pi\) | |||||||
\(864\) | −27.6600 | + | 14.2895i | −0.941011 | + | 0.486138i | ||||
\(865\) | 4.01209 | − | 0.376227i | 0.136415 | − | 0.0127921i | ||||
\(866\) | −17.5641 | − | 10.1406i | −0.596852 | − | 0.344592i | ||||
\(867\) | 14.5330 | + | 47.6884i | 0.493565 | + | 1.61958i | ||||
\(868\) | 91.2174 | − | 20.8198i | 3.09612 | − | 0.706669i | ||||
\(869\) | 71.3501 | − | 17.6951i | 2.42038 | − | 0.600266i | ||||
\(870\) | −5.66290 | − | 7.82505i | −0.191990 | − | 0.265294i | ||||
\(871\) | 4.23559 | + | 37.5919i | 0.143517 | + | 1.27375i | ||||
\(872\) | 6.07828 | − | 15.0713i | 0.205837 | − | 0.510379i | ||||
\(873\) | −28.1529 | + | 38.9019i | −0.952831 | + | 1.31663i | ||||
\(874\) | −2.19272 | − | 1.23878i | −0.0741700 | − | 0.0419024i | ||||
\(875\) | −7.05724 | − | 6.79812i | −0.238578 | − | 0.229818i | ||||
\(876\) | −33.0286 | + | 46.5494i | −1.11593 | + | 1.57276i | ||||
\(877\) | 35.5671 | + | 10.6078i | 1.20102 | + | 0.358201i | 0.823239 | − | 0.567695i | \(-0.192165\pi\) |
0.377777 | + | 0.925897i | \(0.376689\pi\) | |||||||
\(878\) | −26.3592 | − | 11.2082i | −0.889578 | − | 0.378258i | ||||
\(879\) | 12.3145 | + | 13.5233i | 0.415357 | + | 0.456129i | ||||
\(880\) | 1.32020 | + | 0.575998i | 0.0445040 | + | 0.0194169i | ||||
\(881\) | 8.55127 | + | 33.1506i | 0.288100 | + | 1.11687i | 0.935101 | + | 0.354382i | \(0.115309\pi\) |
−0.647001 | + | 0.762489i | \(0.723977\pi\) | |||||||
\(882\) | 110.248 | − | 123.368i | 3.71225 | − | 4.15401i | ||||
\(883\) | 26.4538 | − | 10.3823i | 0.890240 | − | 0.349393i | 0.124254 | − | 0.992250i | \(-0.460346\pi\) |
0.765986 | + | 0.642857i | \(0.222251\pi\) | |||||||
\(884\) | 30.5283 | − | 40.0316i | 1.02678 | − | 1.34641i | ||||
\(885\) | −4.50877 | − | 3.07403i | −0.151561 | − | 0.103332i | ||||
\(886\) | 7.52375 | + | 9.08081i | 0.252765 | + | 0.305076i | ||||
\(887\) | 22.0620 | + | 9.87213i | 0.740771 | + | 0.331474i | 0.743692 | − | 0.668522i | \(-0.233073\pi\) |
−0.00292160 | + | 0.999996i | \(0.500930\pi\) | |||||||
\(888\) | 77.5139 | − | 33.8190i | 2.60120 | − | 1.13489i | ||||
\(889\) | 29.3592 | + | 37.5298i | 0.984675 | + | 1.25871i | ||||
\(890\) | −4.81099 | − | 3.48166i | −0.161265 | − | 0.116706i | ||||
\(891\) | 0.265920 | + | 28.4399i | 0.00890866 | + | 0.952772i | ||||
\(892\) | −32.9249 | + | 18.1969i | −1.10241 | + | 0.609279i | ||||
\(893\) | −2.67911 | + | 1.22902i | −0.0896529 | + | 0.0411274i | ||||
\(894\) | −26.3451 | + | 28.9311i | −0.881111 | + | 0.967601i | ||||
\(895\) | −2.06613 | + | 0.924535i | −0.0690632 | + | 0.0309038i | ||||
\(896\) | −80.3631 | − | 39.6307i | −2.68474 | − | 1.32397i | ||||
\(897\) | −6.09241 | − | 22.7372i | −0.203420 | − | 0.759173i | ||||
\(898\) | −27.3714 | + | 50.6374i | −0.913394 | + | 1.68979i | ||||
\(899\) | 33.3290 | + | 18.4203i | 1.11159 | + | 0.614352i | ||||
\(900\) | 96.8442 | + | 7.25747i | 3.22814 | + | 0.241916i | ||||
\(901\) | 29.1105 | − | 25.2029i | 0.969811 | − | 0.839632i | ||||
\(902\) | − | 1.97900i | − | 0.0658934i | ||||||
\(903\) | −84.4299 | + | 10.8446i | −2.80965 | + | 0.360884i | ||||
\(904\) | −54.0176 | − | 10.7448i | −1.79660 | − | 0.357366i | ||||
\(905\) | −0.469048 | − | 1.34046i | −0.0155917 | − | 0.0445584i | ||||
\(906\) | 18.9250 | + | 33.4986i | 0.628742 | + | 1.11292i | ||||
\(907\) | 36.5297 | + | 30.8466i | 1.21295 | + | 1.02424i | 0.998875 | + | 0.0474255i | \(0.0151017\pi\) |
0.214073 | + | 0.976818i | \(0.431327\pi\) | |||||||
\(908\) | −0.721608 | − | 0.887712i | −0.0239474 | − | 0.0294598i | ||||
\(909\) | −45.4341 | − | 59.2109i | −1.50695 | − | 1.96390i | ||||
\(910\) | −7.98313 | + | 1.05100i | −0.264638 | + | 0.0348403i | ||||
\(911\) | −31.9404 | − | 12.1923i | −1.05823 | − | 0.403949i | −0.235203 | − | 0.971946i | \(-0.575575\pi\) |
−0.823030 | + | 0.567998i | \(0.807718\pi\) | |||||||
\(912\) | −0.0808593 | − | 1.72835i | −0.00267752 | − | 0.0572315i | ||||
\(913\) | −61.8875 | − | 9.92068i | −2.04818 | − | 0.328327i | ||||
\(914\) | 51.8272 | − | 5.83952i | 1.71429 | − | 0.193154i | ||||
\(915\) | −5.91576 | + | 2.51544i | −0.195569 | + | 0.0831580i | ||||
\(916\) | −37.9079 | − | 17.3899i | −1.25251 | − | 0.574578i | ||||
\(917\) | 86.6162 | − | 6.49099i | 2.86032 | − | 0.214351i | ||||
\(918\) | 14.6027 | + | 72.2864i | 0.481960 | + | 2.38581i | ||||
\(919\) | −11.2153 | + | 49.1376i | −0.369960 | + | 1.62090i | 0.356919 | + | 0.934135i | \(0.383827\pi\) |
−0.726879 | + | 0.686766i | \(0.759030\pi\) | |||||||
\(920\) | 1.39109 | − | 1.15256i | 0.0458629 | − | 0.0379989i | ||||
\(921\) | −29.0458 | + | 28.5077i | −0.957092 | + | 0.939360i | ||||
\(922\) | −61.7848 | − | 45.5993i | −2.03477 | − | 1.50173i | ||||
\(923\) | −10.9143 | − | 7.59172i | −0.359250 | − | 0.249884i | ||||
\(924\) | −185.878 | + | 139.887i | −6.11493 | + | 4.60196i | ||||
\(925\) | 40.0899 | + | 5.65975i | 1.31815 | + | 0.186091i | ||||
\(926\) | −82.8904 | − | 1.55023i | −2.72395 | − | 0.0509436i | ||||
\(927\) | 24.0353 | + | 5.96087i | 0.789424 | + | 0.195781i | ||||
\(928\) | −9.63905 | − | 23.9004i | −0.316417 | − | 0.784568i | ||||
\(929\) | 32.1172 | − | 17.3605i | 1.05373 | − | 0.569580i | 0.146065 | − | 0.989275i | \(-0.453339\pi\) |
0.907665 | + | 0.419695i | \(0.137863\pi\) | |||||||
\(930\) | 8.62707 | − | 3.29312i | 0.282893 | − | 0.107986i | ||||
\(931\) | −2.34788 | − | 5.38140i | −0.0769487 | − | 0.176368i | ||||
\(932\) | 1.01024 | − | 8.27036i | 0.0330915 | − | 0.270905i | ||||
\(933\) | 5.88032 | − | 12.8184i | 0.192513 | − | 0.419656i | ||||
\(934\) | 49.9586 | + | 73.2757i | 1.63469 | + | 2.39766i | ||||
\(935\) | −2.98297 | + | 3.62221i | −0.0975535 | + | 0.118459i | ||||
\(936\) | 46.8134 | − | 50.4528i | 1.53014 | − | 1.64910i | ||||
\(937\) | −2.08550 | − | 8.40913i | −0.0681303 | − | 0.274714i | 0.926763 | − | 0.375647i | \(-0.122579\pi\) |
−0.994893 | + | 0.100932i | \(0.967817\pi\) | |||||||
\(938\) | −3.16092 | − | 112.660i | −0.103208 | − | 3.67846i | ||||
\(939\) | −18.0533 | − | 4.83736i | −0.589147 | − | 0.157861i | ||||
\(940\) | −0.322278 | − | 4.91702i | −0.0105116 | − | 0.160375i | ||||
\(941\) | 7.19629 | + | 0.742757i | 0.234592 | + | 0.0242132i | 0.219248 | − | 0.975669i | \(-0.429640\pi\) |
0.0153439 | + | 0.999882i | \(0.495116\pi\) | |||||||
\(942\) | −6.97059 | − | 82.6399i | −0.227114 | − | 2.69255i | ||||
\(943\) | −0.339015 | − | 0.171143i | −0.0110399 | − | 0.00557318i | ||||
\(944\) | 7.05419 | + | 7.89365i | 0.229594 | + | 0.256916i | ||||
\(945\) | 4.17143 | − | 6.24299i | 0.135697 | − | 0.203085i | ||||
\(946\) | 78.5091 | + | 5.39455i | 2.55255 | + | 0.175392i | ||||
\(947\) | 0.577141 | − | 0.385634i | 0.0187546 | − | 0.0125314i | −0.546158 | − | 0.837682i | \(-0.683910\pi\) |
0.564912 | + | 0.825151i | \(0.308910\pi\) | |||||||
\(948\) | 139.339 | − | 48.7569i | 4.52553 | − | 1.58355i | ||||
\(949\) | −5.18674 | + | 18.6576i | −0.168369 | + | 0.605652i | ||||
\(950\) | 2.61878 | − | 4.73832i | 0.0849644 | − | 0.153731i | ||||
\(951\) | 45.8985 | + | 14.1578i | 1.48836 | + | 0.459098i | ||||
\(952\) | −43.1885 | + | 47.7127i | −1.39975 | + | 1.54638i | ||||
\(953\) | −6.64808 | + | 3.83827i | −0.215353 | + | 0.124334i | −0.603796 | − | 0.797139i | \(-0.706346\pi\) |
0.388444 | + | 0.921472i | \(0.373013\pi\) | |||||||
\(954\) | 100.054 | − | 70.9920i | 3.23937 | − | 2.29845i | ||||
\(955\) | −1.29704 | − | 0.467512i | −0.0419713 | − | 0.0151283i | ||||
\(956\) | 2.92608 | − | 0.109486i | 0.0946362 | − | 0.00354104i | ||||
\(957\) | −94.3483 | − | 7.95819i | −3.04985 | − | 0.257252i | ||||
\(958\) | 3.17222 | + | 3.11344i | 0.102490 | + | 0.100591i | ||||
\(959\) | −1.24899 | − | 7.79146i | −0.0403318 | − | 0.251599i | ||||
\(960\) | −7.50475 | − | 2.46951i | −0.242215 | − | 0.0797031i | ||||
\(961\) | −3.74995 | + | 3.89289i | −0.120966 | + | 0.125577i | ||||
\(962\) | 48.5929 | − | 45.9406i | 1.56670 | − | 1.48118i | ||||
\(963\) | −5.25094 | − | 9.71430i | −0.169209 | − | 0.313039i | ||||
\(964\) | −0.618301 | + | 66.1267i | −0.0199141 | + | 2.12980i | ||||
\(965\) | 2.30710 | − | 3.12600i | 0.0742681 | − | 0.100630i | ||||
\(966\) | 12.3930 | + | 69.0254i | 0.398738 | + | 2.22086i | ||||
\(967\) | −14.1018 | − | 12.6022i | −0.453484 | − | 0.405258i | 0.408049 | − | 0.912960i | \(-0.366209\pi\) |
−0.861533 | + | 0.507702i | \(0.830495\pi\) | |||||||
\(968\) | 48.1950 | − | 23.2095i | 1.54905 | − | 0.745982i | ||||
\(969\) | 5.48726 | + | 1.28926i | 0.176276 | + | 0.0414171i | ||||
\(970\) | −4.42520 | + | 0.666991i | −0.142085 | + | 0.0214158i | ||||
\(971\) | −12.2931 | − | 2.56497i | −0.394505 | − | 0.0823137i | 0.00280997 | − | 0.999996i | \(-0.499106\pi\) |
−0.397315 | + | 0.917682i | \(0.630058\pi\) | |||||||
\(972\) | −2.36286 | − | 22.8929i | −0.0757889 | − | 0.734289i | ||||
\(973\) | −14.4573 | + | 9.08415i | −0.463481 | + | 0.291225i | ||||
\(974\) | −13.1280 | − | 60.1025i | −0.420649 | − | 1.92581i | ||||
\(975\) | 48.7528 | − | 13.5531i | 1.56134 | − | 0.434046i | ||||
\(976\) | 12.3136 | − | 1.97389i | 0.394148 | − | 0.0631827i | ||||
\(977\) | −0.667422 | − | 3.19875i | −0.0213527 | − | 0.102337i | 0.966904 | − | 0.255141i | \(-0.0821220\pi\) |
−0.988256 | + | 0.152804i | \(0.951170\pi\) | |||||||
\(978\) | −24.8079 | − | 44.8865i | −0.793269 | − | 1.43531i | ||||
\(979\) | −56.6301 | + | 13.4837i | −1.80991 | + | 0.430942i | ||||
\(980\) | 9.80458 | − | 0.458697i | 0.313196 | − | 0.0146526i | ||||
\(981\) | 18.7539 | + | 17.7303i | 0.598766 | + | 0.566084i | ||||
\(982\) | −10.5942 | + | 39.5380i | −0.338074 | + | 1.26171i | ||||
\(983\) | 17.2866 | − | 19.7116i | 0.551356 | − | 0.628701i | −0.407291 | − | 0.913298i | \(-0.633527\pi\) |
0.958647 | + | 0.284597i | \(0.0918599\pi\) | |||||||
\(984\) | −0.159207 | − | 1.69779i | −0.00507533 | − | 0.0541235i | ||||
\(985\) | 0.222710 | + | 0.279270i | 0.00709614 | + | 0.00889828i | ||||
\(986\) | −60.7036 | + | 6.44828i | −1.93320 | + | 0.205355i | ||||
\(987\) | 73.9497 | + | 35.6123i | 2.35384 | + | 1.13355i | ||||
\(988\) | −2.17828 | − | 5.25883i | −0.0693002 | − | 0.167306i | ||||
\(989\) | 7.71356 | − | 12.9826i | 0.245277 | − | 0.412823i | ||||
\(990\) | −10.5717 | + | 10.5717i | −0.335990 | + | 0.335990i | ||||
\(991\) | −0.0971898 | + | 0.0137209i | −0.00308734 | + | 0.000435860i | −0.141334 | − | 0.989962i | \(-0.545139\pi\) |
0.138247 | + | 0.990398i | \(0.455853\pi\) | |||||||
\(992\) | 24.4553 | − | 2.98726i | 0.776457 | − | 0.0948457i | ||||
\(993\) | 70.2812 | − | 5.92815i | 2.23031 | − | 0.188124i | ||||
\(994\) | 30.5004 | + | 25.2705i | 0.967413 | + | 0.801533i | ||||
\(995\) | −0.902238 | + | 0.692312i | −0.0286029 | + | 0.0219478i | ||||
\(996\) | −125.598 | − | 8.23210i | −3.97971 | − | 0.260844i | ||||
\(997\) | 20.7128 | + | 46.2886i | 0.655981 | + | 1.46597i | 0.871961 | + | 0.489575i | \(0.162848\pi\) |
−0.215980 | + | 0.976398i | \(0.569295\pi\) | |||||||
\(998\) | −5.65647 | + | 2.65915i | −0.179053 | + | 0.0841739i | ||||
\(999\) | 2.33159 | + | 62.3131i | 0.0737683 | + | 1.97150i |
(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 | 731.2.bm.a.3.6 | ✓ | 6144 | |
17.6 | odd | 16 | inner | 731.2.bm.a.261.6 | yes | 6144 | |
43.29 | odd | 42 | inner | 731.2.bm.a.717.6 | yes | 6144 | |
731.244 | even | 336 | inner | 731.2.bm.a.244.6 | yes | 6144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.bm.a.3.6 | ✓ | 6144 | 1.1 | even | 1 | trivial | |
731.2.bm.a.244.6 | yes | 6144 | 731.244 | even | 336 | inner | |
731.2.bm.a.261.6 | yes | 6144 | 17.6 | odd | 16 | inner | |
731.2.bm.a.717.6 | yes | 6144 | 43.29 | odd | 42 | inner |