Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [140,3,Mod(11,140)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(140, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("140.11");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 140 = 2^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 140.t (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.81472370104\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.23 | ||
Character | \(\chi\) | \(=\) | 140.11 |
Dual form | 140.3.t.a.51.23 |
$q$-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 \(\left(\mathbb{Z}/140\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(101\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.25192 | − | 1.55971i | 0.625958 | − | 0.779857i | ||||
\(3\) | −0.0515150 | − | 0.0297422i | −0.0171717 | − | 0.00991406i | 0.491390 | − | 0.870940i | \(-0.336489\pi\) |
−0.508561 | + | 0.861026i | \(0.669822\pi\) | |||||||
\(4\) | −0.865411 | − | 3.90526i | −0.216353 | − | 0.976315i | ||||
\(5\) | −1.11803 | − | 1.93649i | −0.223607 | − | 0.387298i | ||||
\(6\) | −0.110882 | + | 0.0431139i | −0.0184803 | + | 0.00718564i | ||||
\(7\) | −6.36655 | − | 2.90982i | −0.909507 | − | 0.415689i | ||||
\(8\) | −7.17451 | − | 3.53927i | −0.896814 | − | 0.442408i | ||||
\(9\) | −4.49823 | − | 7.79116i | −0.499803 | − | 0.865685i | ||||
\(10\) | −4.42006 | − | 0.680513i | −0.442006 | − | 0.0680513i | ||||
\(11\) | 7.49057 | + | 4.32468i | 0.680961 | + | 0.393153i | 0.800217 | − | 0.599710i | \(-0.204718\pi\) |
−0.119256 | + | 0.992864i | \(0.538051\pi\) | |||||||
\(12\) | −0.0715693 | + | 0.226919i | −0.00596411 | + | 0.0189099i | ||||
\(13\) | 19.6476 | 1.51135 | 0.755676 | − | 0.654945i | \(-0.227308\pi\) | ||||
0.755676 | + | 0.654945i | \(0.227308\pi\) | |||||||
\(14\) | −12.5089 | + | 6.28714i | −0.893491 | + | 0.449081i | ||||
\(15\) | 0.133011i | 0.00886740i | ||||||||
\(16\) | −14.5021 | + | 6.75931i | −0.906383 | + | 0.422457i | ||||
\(17\) | 10.5918 | − | 18.3455i | 0.623044 | − | 1.07914i | −0.365871 | − | 0.930666i | \(-0.619229\pi\) |
0.988916 | − | 0.148479i | \(-0.0474377\pi\) | |||||||
\(18\) | −17.7834 | − | 2.73794i | −0.987966 | − | 0.152108i | ||||
\(19\) | −4.61859 | + | 2.66655i | −0.243084 | + | 0.140345i | −0.616593 | − | 0.787282i | \(-0.711488\pi\) |
0.373509 | + | 0.927626i | \(0.378154\pi\) | |||||||
\(20\) | −6.59495 | + | 6.04208i | −0.329747 | + | 0.302104i | ||||
\(21\) | 0.241428 | + | 0.339254i | 0.0114966 | + | 0.0161550i | ||||
\(22\) | 16.1228 | − | 6.26900i | 0.732856 | − | 0.284955i | ||||
\(23\) | −24.5095 | + | 14.1506i | −1.06563 | + | 0.615242i | −0.926984 | − | 0.375101i | \(-0.877608\pi\) |
−0.138645 | + | 0.990342i | \(0.544275\pi\) | |||||||
\(24\) | 0.264329 | + | 0.395711i | 0.0110137 | + | 0.0164879i | ||||
\(25\) | −2.50000 | + | 4.33013i | −0.100000 | + | 0.173205i | ||||
\(26\) | 24.5971 | − | 30.6446i | 0.946044 | − | 1.17864i | ||||
\(27\) | 1.07051i | 0.0396484i | ||||||||
\(28\) | −5.85393 | + | 27.3812i | −0.209069 | + | 0.977901i | ||||
\(29\) | 44.2933 | 1.52736 | 0.763678 | − | 0.645597i | \(-0.223391\pi\) | ||||
0.763678 | + | 0.645597i | \(0.223391\pi\) | |||||||
\(30\) | 0.207459 | + | 0.166519i | 0.00691530 | + | 0.00555062i | ||||
\(31\) | 38.7553 | + | 22.3754i | 1.25017 | + | 0.721787i | 0.971144 | − | 0.238496i | \(-0.0766543\pi\) |
0.279028 | + | 0.960283i | \(0.409988\pi\) | |||||||
\(32\) | −7.61286 | + | 31.0813i | −0.237902 | + | 0.971289i | ||||
\(33\) | −0.257251 | − | 0.445572i | −0.00779549 | − | 0.0135022i | ||||
\(34\) | −15.3537 | − | 39.4871i | −0.451578 | − | 1.16138i | ||||
\(35\) | 1.48318 | + | 15.5820i | 0.0423764 | + | 0.445201i | ||||
\(36\) | −26.5337 | + | 24.3093i | −0.737048 | + | 0.675259i | ||||
\(37\) | −9.12571 | − | 15.8062i | −0.246641 | − | 0.427194i | 0.715951 | − | 0.698151i | \(-0.245993\pi\) |
−0.962592 | + | 0.270956i | \(0.912660\pi\) | |||||||
\(38\) | −1.62305 | + | 10.5420i | −0.0427117 | + | 0.277420i | ||||
\(39\) | −1.01214 | − | 0.584362i | −0.0259524 | − | 0.0149836i | ||||
\(40\) | 1.16759 | + | 17.8504i | 0.0291896 | + | 0.446260i | ||||
\(41\) | −13.3841 | −0.326442 | −0.163221 | − | 0.986590i | \(-0.552188\pi\) | ||||
−0.163221 | + | 0.986590i | \(0.552188\pi\) | |||||||
\(42\) | 0.831387 | + | 0.0481593i | 0.0197949 | + | 0.00114665i | ||||
\(43\) | − | 41.6789i | − | 0.969276i | −0.874715 | − | 0.484638i | \(-0.838951\pi\) | ||
0.874715 | − | 0.484638i | \(-0.161049\pi\) | |||||||
\(44\) | 10.4066 | − | 32.9953i | 0.236514 | − | 0.749893i | ||||
\(45\) | −10.0583 | + | 17.4216i | −0.223519 | + | 0.387146i | ||||
\(46\) | −8.61301 | + | 55.9431i | −0.187239 | + | 1.21615i | ||||
\(47\) | 74.1733 | − | 42.8239i | 1.57815 | − | 0.911148i | 0.583037 | − | 0.812445i | \(-0.301864\pi\) |
0.995117 | − | 0.0987025i | \(-0.0314692\pi\) | |||||||
\(48\) | 0.948113 | + | 0.0831191i | 0.0197524 | + | 0.00173165i | ||||
\(49\) | 32.0659 | + | 37.0510i | 0.654406 | + | 0.756143i | ||||
\(50\) | 3.62397 | + | 9.32024i | 0.0724793 | + | 0.186405i | ||||
\(51\) | −1.09127 | + | 0.630044i | −0.0213974 | + | 0.0123538i | ||||
\(52\) | −17.0032 | − | 76.7290i | −0.326985 | − | 1.47556i | ||||
\(53\) | −28.2667 | + | 48.9594i | −0.533335 | + | 0.923763i | 0.465907 | + | 0.884833i | \(0.345728\pi\) |
−0.999242 | + | 0.0389291i | \(0.987605\pi\) | |||||||
\(54\) | 1.66969 | + | 1.34019i | 0.0309201 | + | 0.0248183i | ||||
\(55\) | − | 19.3406i | − | 0.351647i | ||||||
\(56\) | 35.3782 | + | 43.4094i | 0.631754 | + | 0.775169i | ||||
\(57\) | 0.317236 | 0.00556554 | ||||||||
\(58\) | 55.4516 | − | 69.0849i | 0.956061 | − | 1.19112i | ||||
\(59\) | 3.86090 | + | 2.22909i | 0.0654389 | + | 0.0377812i | 0.532362 | − | 0.846517i | \(-0.321304\pi\) |
−0.466924 | + | 0.884298i | \(0.654638\pi\) | |||||||
\(60\) | 0.519443 | − | 0.115109i | 0.00865738 | − | 0.00191849i | ||||
\(61\) | −12.0824 | − | 20.9274i | −0.198073 | − | 0.343072i | 0.749831 | − | 0.661630i | \(-0.230135\pi\) |
−0.947904 | + | 0.318557i | \(0.896802\pi\) | |||||||
\(62\) | 83.4176 | − | 32.4351i | 1.34545 | − | 0.523146i | ||||
\(63\) | 5.96732 | + | 62.6919i | 0.0947193 | + | 0.995109i | ||||
\(64\) | 38.9472 | + | 50.7850i | 0.608550 | + | 0.793516i | ||||
\(65\) | −21.9667 | − | 38.0474i | −0.337949 | − | 0.585344i | ||||
\(66\) | −1.01702 | − | 0.156581i | −0.0154094 | − | 0.00237244i | ||||
\(67\) | −87.8200 | − | 50.7029i | −1.31075 | − | 0.756760i | −0.328527 | − | 0.944495i | \(-0.606552\pi\) |
−0.982220 | + | 0.187735i | \(0.939886\pi\) | |||||||
\(68\) | −80.8100 | − | 25.4872i | −1.18838 | − | 0.374812i | ||||
\(69\) | 1.68347 | 0.0243982 | ||||||||
\(70\) | 26.1603 | + | 17.1941i | 0.373719 | + | 0.245630i | ||||
\(71\) | 90.1660i | 1.26994i | 0.772536 | + | 0.634972i | \(0.218988\pi\) | ||||
−0.772536 | + | 0.634972i | \(0.781012\pi\) | |||||||
\(72\) | 4.69759 | + | 71.8182i | 0.0652444 | + | 0.997475i | ||||
\(73\) | 17.5091 | − | 30.3266i | 0.239850 | − | 0.415433i | −0.720821 | − | 0.693121i | \(-0.756235\pi\) |
0.960671 | + | 0.277689i | \(0.0895683\pi\) | |||||||
\(74\) | −36.0777 | − | 5.55454i | −0.487537 | − | 0.0750613i | ||||
\(75\) | 0.257575 | − | 0.148711i | 0.00343433 | − | 0.00198281i | ||||
\(76\) | 14.4105 | + | 15.7292i | 0.189612 | + | 0.206963i | ||||
\(77\) | −35.1051 | − | 49.3295i | −0.455910 | − | 0.640643i | ||||
\(78\) | −2.17856 | + | 0.847083i | −0.0279302 | + | 0.0108600i | ||||
\(79\) | −18.1634 | + | 10.4867i | −0.229917 | + | 0.132742i | −0.610534 | − | 0.791990i | \(-0.709045\pi\) |
0.380617 | + | 0.924733i | \(0.375712\pi\) | |||||||
\(80\) | 29.3032 | + | 20.5261i | 0.366290 | + | 0.256576i | ||||
\(81\) | −40.4522 | + | 70.0653i | −0.499410 | + | 0.865004i | ||||
\(82\) | −16.7558 | + | 20.8754i | −0.204339 | + | 0.254578i | ||||
\(83\) | − | 41.6464i | − | 0.501764i | −0.968018 | − | 0.250882i | \(-0.919279\pi\) | ||
0.968018 | − | 0.250882i | \(-0.0807206\pi\) | |||||||
\(84\) | 1.11594 | − | 1.23643i | 0.0132850 | − | 0.0147195i | ||||
\(85\) | −47.3678 | −0.557268 | ||||||||
\(86\) | −65.0071 | − | 52.1784i | −0.755896 | − | 0.606726i | ||||
\(87\) | −2.28177 | − | 1.31738i | −0.0262272 | − | 0.0151423i | ||||
\(88\) | −38.4350 | − | 57.5386i | −0.436761 | − | 0.653848i | ||||
\(89\) | 37.1908 | + | 64.4163i | 0.417874 | + | 0.723779i | 0.995725 | − | 0.0923632i | \(-0.0294421\pi\) |
−0.577852 | + | 0.816142i | \(0.696109\pi\) | |||||||
\(90\) | 14.5804 | + | 37.4985i | 0.162005 | + | 0.416650i | ||||
\(91\) | −125.087 | − | 57.1709i | −1.37459 | − | 0.628252i | ||||
\(92\) | 76.4724 | + | 83.4699i | 0.831222 | + | 0.907281i | ||||
\(93\) | −1.33099 | − | 2.30534i | −0.0143117 | − | 0.0247886i | ||||
\(94\) | 26.0656 | − | 169.301i | 0.277294 | − | 1.80107i | ||||
\(95\) | 10.3275 | + | 5.96258i | 0.108710 | + | 0.0627640i | ||||
\(96\) | 1.31660 | − | 1.37473i | 0.0137146 | − | 0.0143201i | ||||
\(97\) | −121.170 | −1.24918 | −0.624590 | − | 0.780953i | \(-0.714734\pi\) | ||||
−0.624590 | + | 0.780953i | \(0.714734\pi\) | |||||||
\(98\) | 97.9328 | − | 3.62881i | 0.999314 | − | 0.0370287i | ||||
\(99\) | − | 77.8137i | − | 0.785997i | ||||||
\(100\) | 19.0738 | + | 6.01581i | 0.190738 | + | 0.0601581i | ||||
\(101\) | −55.5313 | + | 96.1831i | −0.549815 | + | 0.952307i | 0.448472 | + | 0.893797i | \(0.351968\pi\) |
−0.998287 | + | 0.0585105i | \(0.981365\pi\) | |||||||
\(102\) | −0.383488 | + | 2.49083i | −0.00375969 | + | 0.0244199i | ||||
\(103\) | 8.79499 | − | 5.07779i | 0.0853883 | − | 0.0492989i | −0.456698 | − | 0.889622i | \(-0.650968\pi\) |
0.542086 | + | 0.840323i | \(0.317635\pi\) | |||||||
\(104\) | −140.962 | − | 69.5380i | −1.35540 | − | 0.668635i | ||||
\(105\) | 0.387038 | − | 0.846821i | 0.00368608 | − | 0.00806497i | ||||
\(106\) | 40.9751 | + | 105.381i | 0.386557 | + | 0.994161i | ||||
\(107\) | −11.6068 | + | 6.70118i | −0.108475 | + | 0.0626279i | −0.553256 | − | 0.833011i | \(-0.686615\pi\) |
0.444781 | + | 0.895639i | \(0.353281\pi\) | |||||||
\(108\) | 4.18061 | − | 0.926429i | 0.0387094 | − | 0.00857805i | ||||
\(109\) | 14.3702 | − | 24.8899i | 0.131836 | − | 0.228347i | −0.792548 | − | 0.609809i | \(-0.791246\pi\) |
0.924384 | + | 0.381462i | \(0.124579\pi\) | |||||||
\(110\) | −30.1658 | − | 24.2128i | −0.274234 | − | 0.220116i | ||||
\(111\) | 1.08567i | 0.00978084i | ||||||||
\(112\) | 111.997 | − | 0.834915i | 0.999972 | − | 0.00745459i | ||||
\(113\) | 148.457 | 1.31378 | 0.656889 | − | 0.753987i | \(-0.271872\pi\) | ||||
0.656889 | + | 0.753987i | \(0.271872\pi\) | |||||||
\(114\) | 0.397152 | − | 0.494797i | 0.00348379 | − | 0.00434032i | ||||
\(115\) | 54.8049 | + | 31.6416i | 0.476564 | + | 0.275144i | ||||
\(116\) | −38.3320 | − | 172.977i | −0.330448 | − | 1.49118i | ||||
\(117\) | −88.3794 | − | 153.078i | −0.755379 | − | 1.30836i | ||||
\(118\) | 8.31026 | − | 3.23126i | 0.0704259 | − | 0.0273835i | ||||
\(119\) | −120.815 | + | 85.9771i | −1.01525 | + | 0.722497i | ||||
\(120\) | 0.470762 | − | 0.954289i | 0.00392301 | − | 0.00795241i | ||||
\(121\) | −23.0942 | − | 40.0003i | −0.190861 | − | 0.330581i | ||||
\(122\) | −47.7670 | − | 7.35422i | −0.391533 | − | 0.0602805i | ||||
\(123\) | 0.689482 | + | 0.398073i | 0.00560555 | + | 0.00323636i | ||||
\(124\) | 53.8425 | − | 170.714i | 0.434214 | − | 1.37672i | ||||
\(125\) | 11.1803 | 0.0894427 | ||||||||
\(126\) | 105.252 | + | 69.1777i | 0.835333 | + | 0.549029i | ||||
\(127\) | − | 201.644i | − | 1.58775i | −0.608084 | − | 0.793873i | \(-0.708062\pi\) | ||
0.608084 | − | 0.793873i | \(-0.291938\pi\) | |||||||
\(128\) | 127.969 | + | 2.83213i | 0.999755 | + | 0.0221260i | ||||
\(129\) | −1.23962 | + | 2.14708i | −0.00960946 | + | 0.0166441i | ||||
\(130\) | −86.8434 | − | 13.3704i | −0.668027 | − | 0.102850i | ||||
\(131\) | 98.1183 | − | 56.6486i | 0.748995 | − | 0.432432i | −0.0763359 | − | 0.997082i | \(-0.524322\pi\) |
0.825331 | + | 0.564650i | \(0.190989\pi\) | |||||||
\(132\) | −1.51745 | + | 1.39024i | −0.0114958 | + | 0.0105321i | ||||
\(133\) | 37.1637 | − | 3.53742i | 0.279426 | − | 0.0265971i | ||||
\(134\) | −189.025 | + | 73.4983i | −1.41064 | + | 0.548495i | ||||
\(135\) | 2.07303 | − | 1.19686i | 0.0153558 | − | 0.00886566i | ||||
\(136\) | −140.920 | + | 94.1326i | −1.03618 | + | 0.692152i | ||||
\(137\) | −59.2607 | + | 102.643i | −0.432560 | + | 0.749216i | −0.997093 | − | 0.0761945i | \(-0.975723\pi\) |
0.564533 | + | 0.825411i | \(0.309056\pi\) | |||||||
\(138\) | 2.10757 | − | 2.62574i | 0.0152722 | − | 0.0190271i | ||||
\(139\) | 87.2372i | 0.627605i | 0.949488 | + | 0.313803i | \(0.101603\pi\) | ||||
−0.949488 | + | 0.313803i | \(0.898397\pi\) | |||||||
\(140\) | 59.5684 | − | 19.2771i | 0.425489 | − | 0.137693i | ||||
\(141\) | −5.09471 | −0.0361327 | ||||||||
\(142\) | 140.633 | + | 112.880i | 0.990374 | + | 0.794931i | ||||
\(143\) | 147.172 | + | 84.9696i | 1.02917 | + | 0.594193i | ||||
\(144\) | 117.897 | + | 82.5835i | 0.818728 | + | 0.573497i | ||||
\(145\) | −49.5215 | − | 85.7737i | −0.341527 | − | 0.591543i | ||||
\(146\) | −25.3809 | − | 65.2755i | −0.173842 | − | 0.447092i | ||||
\(147\) | −0.549895 | − | 2.86239i | −0.00374078 | − | 0.0194721i | ||||
\(148\) | −53.8298 | + | 49.3171i | −0.363715 | + | 0.333224i | ||||
\(149\) | 70.5666 | + | 122.225i | 0.473601 | + | 0.820302i | 0.999543 | − | 0.0302189i | \(-0.00962045\pi\) |
−0.525942 | + | 0.850520i | \(0.676287\pi\) | |||||||
\(150\) | 0.0905157 | − | 0.587916i | 0.000603438 | − | 0.00391944i | ||||
\(151\) | 50.9059 | + | 29.3905i | 0.337125 | + | 0.194639i | 0.659000 | − | 0.752143i | \(-0.270980\pi\) |
−0.321875 | + | 0.946782i | \(0.604313\pi\) | |||||||
\(152\) | 42.5738 | − | 2.78473i | 0.280091 | − | 0.0183206i | ||||
\(153\) | −190.577 | −1.24560 | ||||||||
\(154\) | −120.889 | − | 7.00264i | −0.784990 | − | 0.0454717i | ||||
\(155\) | − | 100.066i | − | 0.645586i | ||||||
\(156\) | −1.40616 | + | 4.45840i | −0.00901388 | + | 0.0285795i | ||||
\(157\) | 19.6516 | − | 34.0376i | 0.125169 | − | 0.216800i | −0.796630 | − | 0.604468i | \(-0.793386\pi\) |
0.921799 | + | 0.387668i | \(0.126719\pi\) | |||||||
\(158\) | −6.38290 | + | 41.4581i | −0.0403981 | + | 0.262393i | ||||
\(159\) | 2.91232 | − | 1.68143i | 0.0183165 | − | 0.0105750i | ||||
\(160\) | 68.7000 | − | 20.0077i | 0.429375 | − | 0.125048i | ||||
\(161\) | 197.216 | − | 18.7720i | 1.22495 | − | 0.116596i | ||||
\(162\) | 58.6390 | + | 150.810i | 0.361969 | + | 0.930925i | ||||
\(163\) | −18.5296 | + | 10.6980i | −0.113678 | + | 0.0656322i | −0.555761 | − | 0.831342i | \(-0.687573\pi\) |
0.442083 | + | 0.896974i | \(0.354240\pi\) | |||||||
\(164\) | 11.5828 | + | 52.2685i | 0.0706266 | + | 0.318710i | ||||
\(165\) | −0.575231 | + | 0.996329i | −0.00348625 | + | 0.00603836i | ||||
\(166\) | −64.9565 | − | 52.1378i | −0.391304 | − | 0.314083i | ||||
\(167\) | 285.401i | 1.70899i | 0.519463 | + | 0.854493i | \(0.326132\pi\) | ||||
−0.519463 | + | 0.854493i | \(0.673868\pi\) | |||||||
\(168\) | −0.531417 | − | 3.28846i | −0.00316320 | − | 0.0195742i | ||||
\(169\) | 217.028 | 1.28419 | ||||||||
\(170\) | −59.3005 | + | 73.8801i | −0.348826 | + | 0.434589i | ||||
\(171\) | 41.5510 | + | 23.9895i | 0.242988 | + | 0.140289i | ||||
\(172\) | −162.767 | + | 36.0694i | −0.946319 | + | 0.209706i | ||||
\(173\) | 115.705 | + | 200.407i | 0.668814 | + | 1.15842i | 0.978236 | + | 0.207496i | \(0.0665313\pi\) |
−0.309422 | + | 0.950925i | \(0.600135\pi\) | |||||||
\(174\) | −4.91132 | + | 1.90966i | −0.0282260 | + | 0.0109750i | ||||
\(175\) | 28.5163 | − | 20.2934i | 0.162950 | − | 0.115962i | ||||
\(176\) | −137.861 | − | 12.0860i | −0.783302 | − | 0.0686704i | ||||
\(177\) | −0.132596 | − | 0.229663i | −0.000749130 | − | 0.00129753i | ||||
\(178\) | 147.031 | + | 22.6369i | 0.826015 | + | 0.127173i | ||||
\(179\) | −23.1281 | − | 13.3530i | −0.129207 | − | 0.0745979i | 0.434003 | − | 0.900911i | \(-0.357101\pi\) |
−0.563211 | + | 0.826313i | \(0.690434\pi\) | |||||||
\(180\) | 76.7404 | + | 24.2037i | 0.426336 | + | 0.134465i | ||||
\(181\) | 196.553 | 1.08593 | 0.542963 | − | 0.839756i | \(-0.317302\pi\) | ||||
0.542963 | + | 0.839756i | \(0.317302\pi\) | |||||||
\(182\) | −245.769 | + | 123.527i | −1.35038 | + | 0.678720i | ||||
\(183\) | 1.43743i | 0.00785483i | ||||||||
\(184\) | 225.926 | − | 14.7777i | 1.22786 | − | 0.0803137i | ||||
\(185\) | −20.4057 | + | 35.3437i | −0.110301 | + | 0.191047i | ||||
\(186\) | −5.26195 | − | 0.810130i | −0.0282900 | − | 0.00435554i | ||||
\(187\) | 158.677 | − | 91.6120i | 0.848538 | − | 0.489904i | ||||
\(188\) | −231.429 | − | 252.606i | −1.23101 | − | 1.34365i | ||||
\(189\) | 3.11499 | − | 6.81544i | 0.0164814 | − | 0.0360605i | ||||
\(190\) | 22.2291 | − | 8.64328i | 0.116995 | − | 0.0454909i | ||||
\(191\) | −208.779 | + | 120.539i | −1.09308 | + | 0.631093i | −0.934396 | − | 0.356236i | \(-0.884060\pi\) |
−0.158689 | + | 0.987329i | \(0.550727\pi\) | |||||||
\(192\) | −0.495906 | − | 3.77456i | −0.00258284 | − | 0.0196592i | ||||
\(193\) | 100.882 | − | 174.733i | 0.522706 | − | 0.905353i | −0.476945 | − | 0.878933i | \(-0.658256\pi\) |
0.999651 | − | 0.0264199i | \(-0.00841071\pi\) | |||||||
\(194\) | −151.695 | + | 188.991i | −0.781934 | + | 0.974181i | ||||
\(195\) | 2.61335i | 0.0134018i | ||||||||
\(196\) | 116.944 | − | 157.290i | 0.596652 | − | 0.802500i | ||||
\(197\) | −49.8448 | −0.253019 | −0.126510 | − | 0.991965i | \(-0.540377\pi\) | ||||
−0.126510 | + | 0.991965i | \(0.540377\pi\) | |||||||
\(198\) | −121.367 | − | 97.4163i | −0.612965 | − | 0.492001i | ||||
\(199\) | 244.665 | + | 141.257i | 1.22947 | + | 0.709837i | 0.966920 | − | 0.255081i | \(-0.0821021\pi\) |
0.262553 | + | 0.964917i | \(0.415435\pi\) | |||||||
\(200\) | 33.2617 | − | 22.2184i | 0.166309 | − | 0.111092i | ||||
\(201\) | 3.01603 | + | 5.22392i | 0.0150051 | + | 0.0259896i | ||||
\(202\) | 80.4974 | + | 207.026i | 0.398502 | + | 1.02488i | ||||
\(203\) | −281.996 | − | 128.886i | −1.38914 | − | 0.634905i | ||||
\(204\) | 3.40488 | + | 3.71644i | 0.0166906 | + | 0.0182178i | ||||
\(205\) | 14.9639 | + | 25.9182i | 0.0729946 | + | 0.126430i | ||||
\(206\) | 3.09070 | − | 20.0746i | 0.0150034 | − | 0.0974497i | ||||
\(207\) | 220.499 | + | 127.305i | 1.06521 | + | 0.615000i | ||||
\(208\) | −284.932 | + | 132.804i | −1.36986 | + | 0.638482i | ||||
\(209\) | −46.1279 | −0.220708 | ||||||||
\(210\) | −0.836259 | − | 1.66382i | −0.00398219 | − | 0.00792294i | ||||
\(211\) | − | 258.175i | − | 1.22358i | −0.791021 | − | 0.611789i | \(-0.790450\pi\) | ||
0.791021 | − | 0.611789i | \(-0.209550\pi\) | |||||||
\(212\) | 215.662 | + | 68.0189i | 1.01727 | + | 0.320844i | ||||
\(213\) | 2.68173 | − | 4.64490i | 0.0125903 | − | 0.0218070i | ||||
\(214\) | −4.07880 | + | 26.4926i | −0.0190598 | + | 0.123797i | ||||
\(215\) | −80.7108 | + | 46.5984i | −0.375399 | + | 0.216737i | ||||
\(216\) | 3.78881 | − | 7.68037i | 0.0175408 | − | 0.0355573i | ||||
\(217\) | −181.629 | − | 255.225i | −0.837001 | − | 1.17615i | ||||
\(218\) | −20.8308 | − | 53.5734i | −0.0955541 | − | 0.245749i | ||||
\(219\) | −1.80396 | + | 1.04152i | −0.00823725 | + | 0.00475578i | ||||
\(220\) | −75.5300 | + | 16.7376i | −0.343318 | + | 0.0760798i | ||||
\(221\) | 208.102 | − | 360.444i | 0.941640 | − | 1.63097i | ||||
\(222\) | 1.69334 | + | 1.35917i | 0.00762766 | + | 0.00612240i | ||||
\(223\) | 196.160i | 0.879640i | 0.898086 | + | 0.439820i | \(0.144958\pi\) | ||||
−0.898086 | + | 0.439820i | \(0.855042\pi\) | |||||||
\(224\) | 138.909 | − | 175.728i | 0.620127 | − | 0.784501i | ||||
\(225\) | 44.9823 | 0.199921 | ||||||||
\(226\) | 185.856 | − | 231.550i | 0.822371 | − | 1.02456i | ||||
\(227\) | −20.5293 | − | 11.8526i | −0.0904372 | − | 0.0522140i | 0.454099 | − | 0.890951i | \(-0.349961\pi\) |
−0.544537 | + | 0.838737i | \(0.683294\pi\) | |||||||
\(228\) | −0.274539 | − | 1.23889i | −0.00120412 | − | 0.00543372i | ||||
\(229\) | 34.7162 | + | 60.1303i | 0.151599 | + | 0.262578i | 0.931816 | − | 0.362932i | \(-0.118224\pi\) |
−0.780216 | + | 0.625510i | \(0.784891\pi\) | |||||||
\(230\) | 117.963 | − | 45.8672i | 0.512882 | − | 0.199423i | ||||
\(231\) | 0.341267 | + | 3.58531i | 0.00147735 | + | 0.0155208i | ||||
\(232\) | −317.783 | − | 156.766i | −1.36975 | − | 0.675715i | ||||
\(233\) | 47.4662 | + | 82.2139i | 0.203718 | + | 0.352850i | 0.949723 | − | 0.313090i | \(-0.101364\pi\) |
−0.746006 | + | 0.665940i | \(0.768031\pi\) | |||||||
\(234\) | −349.401 | − | 53.7938i | −1.49317 | − | 0.229888i | ||||
\(235\) | −165.856 | − | 95.7573i | −0.705772 | − | 0.407478i | ||||
\(236\) | 5.36391 | − | 17.0069i | 0.0227284 | − | 0.0720631i | ||||
\(237\) | 1.24758 | 0.00526407 | ||||||||
\(238\) | −17.1505 | + | 296.073i | −0.0720607 | + | 1.24400i | ||||
\(239\) | − | 21.3311i | − | 0.0892516i | −0.999004 | − | 0.0446258i | \(-0.985790\pi\) | ||
0.999004 | − | 0.0446258i | \(-0.0142096\pi\) | |||||||
\(240\) | −0.899063 | − | 1.92894i | −0.00374610 | − | 0.00803726i | ||||
\(241\) | −67.2699 | + | 116.515i | −0.279128 | + | 0.483464i | −0.971168 | − | 0.238395i | \(-0.923379\pi\) |
0.692040 | + | 0.721859i | \(0.256712\pi\) | |||||||
\(242\) | −91.3011 | − | 14.0567i | −0.377277 | − | 0.0580857i | ||||
\(243\) | 12.5116 | − | 7.22356i | 0.0514880 | − | 0.0297266i | ||||
\(244\) | −71.2707 | + | 65.2959i | −0.292093 | + | 0.267606i | ||||
\(245\) | 35.8982 | − | 103.520i | 0.146523 | − | 0.422529i | ||||
\(246\) | 1.48405 | − | 0.577041i | 0.00603274 | − | 0.00234569i | ||||
\(247\) | −90.7442 | + | 52.3912i | −0.367386 | + | 0.212110i | ||||
\(248\) | −198.858 | − | 297.698i | −0.801847 | − | 1.20039i | ||||
\(249\) | −1.23865 | + | 2.14541i | −0.00497452 | + | 0.00861612i | ||||
\(250\) | 13.9968 | − | 17.4381i | 0.0559874 | − | 0.0697525i | ||||
\(251\) | − | 274.041i | − | 1.09180i | −0.837852 | − | 0.545898i | \(-0.816189\pi\) | ||
0.837852 | − | 0.545898i | \(-0.183811\pi\) | |||||||
\(252\) | 239.664 | − | 77.5582i | 0.951047 | − | 0.307771i | ||||
\(253\) | −244.787 | −0.967537 | ||||||||
\(254\) | −314.506 | − | 252.441i | −1.23821 | − | 0.993862i | ||||
\(255\) | 2.44015 | + | 1.40882i | 0.00956921 | + | 0.00552479i | ||||
\(256\) | 164.623 | − | 196.049i | 0.643060 | − | 0.765816i | ||||
\(257\) | 56.0289 | + | 97.0449i | 0.218011 | + | 0.377606i | 0.954200 | − | 0.299170i | \(-0.0967097\pi\) |
−0.736189 | + | 0.676776i | \(0.763376\pi\) | |||||||
\(258\) | 1.79694 | + | 4.62142i | 0.00696487 | + | 0.0179125i | ||||
\(259\) | 12.1061 | + | 127.185i | 0.0467417 | + | 0.491062i | ||||
\(260\) | −129.575 | + | 118.712i | −0.498365 | + | 0.456585i | ||||
\(261\) | −199.242 | − | 345.097i | −0.763378 | − | 1.32221i | ||||
\(262\) | 34.4803 | − | 223.956i | 0.131604 | − | 0.854793i | ||||
\(263\) | 60.2589 | + | 34.7905i | 0.229121 | + | 0.132283i | 0.610167 | − | 0.792273i | \(-0.291103\pi\) |
−0.381045 | + | 0.924556i | \(0.624436\pi\) | |||||||
\(264\) | 0.268653 | + | 4.10724i | 0.00101762 | + | 0.0155577i | ||||
\(265\) | 126.413 | 0.477029 | ||||||||
\(266\) | 41.0085 | − | 62.3932i | 0.154167 | − | 0.234561i | ||||
\(267\) | − | 4.42454i | − | 0.0165713i | ||||||
\(268\) | −122.008 | + | 386.839i | −0.455253 | + | 1.44343i | ||||
\(269\) | −4.47990 | + | 7.75942i | −0.0166539 | + | 0.0288454i | −0.874232 | − | 0.485508i | \(-0.838635\pi\) |
0.857578 | + | 0.514353i | \(0.171968\pi\) | |||||||
\(270\) | 0.728494 | − | 4.73171i | 0.00269813 | − | 0.0175248i | ||||
\(271\) | 7.66379 | − | 4.42469i | 0.0282797 | − | 0.0163273i | −0.485794 | − | 0.874074i | \(-0.661469\pi\) |
0.514073 | + | 0.857746i | \(0.328136\pi\) | |||||||
\(272\) | −29.6003 | + | 337.641i | −0.108825 | + | 1.24133i | ||||
\(273\) | 4.74348 | + | 6.66553i | 0.0173754 | + | 0.0244159i | ||||
\(274\) | 85.9036 | + | 220.930i | 0.313517 | + | 0.806313i | ||||
\(275\) | −37.4529 | + | 21.6234i | −0.136192 | + | 0.0786306i | ||||
\(276\) | −1.45690 | − | 6.57440i | −0.00527861 | − | 0.0238203i | ||||
\(277\) | −150.343 | + | 260.403i | −0.542756 | + | 0.940081i | 0.455988 | + | 0.889986i | \(0.349286\pi\) |
−0.998744 | + | 0.0500955i | \(0.984047\pi\) | |||||||
\(278\) | 136.065 | + | 109.214i | 0.489442 | + | 0.392855i | ||||
\(279\) | − | 402.599i | − | 1.44301i | ||||||
\(280\) | 44.5080 | − | 117.043i | 0.158957 | − | 0.418010i | ||||
\(281\) | 23.7142 | 0.0843922 | 0.0421961 | − | 0.999109i | \(-0.486565\pi\) | ||||
0.0421961 | + | 0.999109i | \(0.486565\pi\) | |||||||
\(282\) | −6.37815 | + | 7.94629i | −0.0226176 | + | 0.0281783i | ||||
\(283\) | −142.007 | − | 81.9875i | −0.501790 | − | 0.289708i | 0.227663 | − | 0.973740i | \(-0.426892\pi\) |
−0.729452 | + | 0.684032i | \(0.760225\pi\) | |||||||
\(284\) | 352.122 | − | 78.0306i | 1.23986 | − | 0.274756i | ||||
\(285\) | −0.354680 | − | 0.614324i | −0.00124449 | − | 0.00215552i | ||||
\(286\) | 316.775 | − | 123.171i | 1.10760 | − | 0.430667i | ||||
\(287\) | 85.2106 | + | 38.9454i | 0.296901 | + | 0.135698i | ||||
\(288\) | 276.404 | − | 80.4976i | 0.959735 | − | 0.279506i | ||||
\(289\) | −79.8705 | − | 138.340i | −0.276369 | − | 0.478685i | ||||
\(290\) | −195.779 | − | 30.1422i | −0.675100 | − | 0.103939i | ||||
\(291\) | 6.24209 | + | 3.60387i | 0.0214505 | + | 0.0123844i | ||||
\(292\) | −133.586 | − | 42.1325i | −0.457486 | − | 0.144289i | ||||
\(293\) | 216.787 | 0.739887 | 0.369944 | − | 0.929054i | \(-0.379377\pi\) | ||||
0.369944 | + | 0.929054i | \(0.379377\pi\) | |||||||
\(294\) | −5.15293 | − | 2.72580i | −0.0175270 | − | 0.00927142i | ||||
\(295\) | − | 9.96879i | − | 0.0337925i | ||||||
\(296\) | 9.53017 | + | 145.700i | 0.0321965 | + | 0.492230i | ||||
\(297\) | −4.62961 | + | 8.01872i | −0.0155879 | + | 0.0269991i | ||||
\(298\) | 278.979 | + | 42.9517i | 0.936172 | + | 0.144133i | ||||
\(299\) | −481.552 | + | 278.024i | −1.61054 | + | 0.929847i | ||||
\(300\) | −0.803663 | − | 0.877201i | −0.00267888 | − | 0.00292400i | ||||
\(301\) | −121.278 | + | 265.350i | −0.402917 | + | 0.881563i | ||||
\(302\) | 109.571 | − | 42.6041i | 0.362817 | − | 0.141073i | ||||
\(303\) | 5.72139 | − | 3.30324i | 0.0188825 | − | 0.0109018i | ||||
\(304\) | 48.9554 | − | 69.8891i | 0.161038 | − | 0.229898i | ||||
\(305\) | −27.0172 | + | 46.7951i | −0.0885809 | + | 0.153427i | ||||
\(306\) | −238.586 | + | 297.245i | −0.779693 | + | 0.971389i | ||||
\(307\) | 71.1738i | 0.231837i | 0.993259 | + | 0.115918i | \(0.0369811\pi\) | ||||
−0.993259 | + | 0.115918i | \(0.963019\pi\) | |||||||
\(308\) | −162.264 | + | 179.785i | −0.526833 | + | 0.583717i | ||||
\(309\) | −0.604098 | −0.00195501 | ||||||||
\(310\) | −156.074 | − | 125.274i | −0.503465 | − | 0.404110i | ||||
\(311\) | 29.2089 | + | 16.8638i | 0.0939192 | + | 0.0542243i | 0.546224 | − | 0.837639i | \(-0.316065\pi\) |
−0.452305 | + | 0.891863i | \(0.649398\pi\) | |||||||
\(312\) | 5.19343 | + | 7.77476i | 0.0166456 | + | 0.0249191i | ||||
\(313\) | −39.7164 | − | 68.7907i | −0.126889 | − | 0.219779i | 0.795581 | − | 0.605848i | \(-0.207166\pi\) |
−0.922470 | + | 0.386069i | \(0.873833\pi\) | |||||||
\(314\) | −28.4867 | − | 73.2630i | −0.0907219 | − | 0.233322i | ||||
\(315\) | 114.731 | − | 81.6473i | 0.364224 | − | 0.259198i | ||||
\(316\) | 56.6719 | + | 61.8576i | 0.179342 | + | 0.195752i | ||||
\(317\) | 160.707 | + | 278.353i | 0.506963 | + | 0.878085i | 0.999968 | + | 0.00805856i | \(0.00256515\pi\) |
−0.493005 | + | 0.870027i | \(0.664102\pi\) | |||||||
\(318\) | 1.02343 | − | 6.64739i | 0.00321835 | − | 0.0209037i | ||||
\(319\) | 331.783 | + | 191.555i | 1.04007 | + | 0.600485i | ||||
\(320\) | 54.8005 | − | 132.200i | 0.171251 | − | 0.413126i | ||||
\(321\) | 0.797231 | 0.00248359 | ||||||||
\(322\) | 217.619 | − | 331.102i | 0.675837 | − | 1.02827i | ||||
\(323\) | 112.974i | 0.349764i | ||||||||
\(324\) | 308.631 | + | 97.3412i | 0.952566 | + | 0.300436i | ||||
\(325\) | −49.1190 | + | 85.0765i | −0.151135 | + | 0.261774i | ||||
\(326\) | −6.51157 | + | 42.2938i | −0.0199741 | + | 0.129736i | ||||
\(327\) | −1.48056 | + | 0.854800i | −0.00452770 | + | 0.00261407i | ||||
\(328\) | 96.0245 | + | 47.3700i | 0.292758 | + | 0.144421i | ||||
\(329\) | −596.838 | + | 56.8099i | −1.81410 | + | 0.172675i | ||||
\(330\) | 0.833847 | + | 2.14452i | 0.00252681 | + | 0.00649853i | ||||
\(331\) | −113.931 | + | 65.7781i | −0.344203 | + | 0.198725i | −0.662129 | − | 0.749390i | \(-0.730347\pi\) |
0.317926 | + | 0.948115i | \(0.397014\pi\) | |||||||
\(332\) | −162.640 | + | 36.0413i | −0.489880 | + | 0.108558i | ||||
\(333\) | −82.0991 | + | 142.200i | −0.246544 | + | 0.427026i | ||||
\(334\) | 445.143 | + | 357.298i | 1.33276 | + | 1.06975i | ||||
\(335\) | 226.750i | 0.676867i | ||||||||
\(336\) | −5.79435 | − | 3.28802i | −0.0172451 | − | 0.00978578i | ||||
\(337\) | −128.932 | −0.382587 | −0.191294 | − | 0.981533i | \(-0.561268\pi\) | ||||
−0.191294 | + | 0.981533i | \(0.561268\pi\) | |||||||
\(338\) | 271.700 | − | 338.501i | 0.803847 | − | 1.00148i | ||||
\(339\) | −7.64776 | − | 4.41543i | −0.0225598 | − | 0.0130249i | ||||
\(340\) | 40.9926 | + | 184.983i | 0.120566 | + | 0.544069i | ||||
\(341\) | 193.533 | + | 335.209i | 0.567546 | + | 0.983018i | ||||
\(342\) | 89.4351 | − | 34.7748i | 0.261506 | − | 0.101681i | ||||
\(343\) | −96.3372 | − | 329.193i | −0.280867 | − | 0.959747i | ||||
\(344\) | −147.513 | + | 299.025i | −0.428816 | + | 0.869260i | ||||
\(345\) | −1.88218 | − | 3.26003i | −0.00545559 | − | 0.00944937i | ||||
\(346\) | 457.430 | + | 70.4260i | 1.32205 | + | 0.203543i | ||||
\(347\) | −189.704 | − | 109.526i | −0.546698 | − | 0.315636i | 0.201091 | − | 0.979573i | \(-0.435551\pi\) |
−0.747789 | + | 0.663936i | \(0.768885\pi\) | |||||||
\(348\) | −3.17004 | + | 10.0510i | −0.00910932 | + | 0.0288821i | ||||
\(349\) | −638.544 | −1.82964 | −0.914819 | − | 0.403864i | \(-0.867667\pi\) | ||||
−0.914819 | + | 0.403864i | \(0.867667\pi\) | |||||||
\(350\) | 4.04807 | − | 69.8829i | 0.0115659 | − | 0.199665i | ||||
\(351\) | 21.0329i | 0.0599228i | ||||||||
\(352\) | −191.441 | + | 199.893i | −0.543867 | + | 0.567878i | ||||
\(353\) | −164.468 | + | 284.867i | −0.465916 | + | 0.806989i | −0.999242 | − | 0.0389199i | \(-0.987608\pi\) |
0.533327 | + | 0.845909i | \(0.320942\pi\) | |||||||
\(354\) | −0.524207 | − | 0.0807071i | −0.00148081 | − | 0.000227986i | ||||
\(355\) | 174.606 | − | 100.809i | 0.491847 | − | 0.283968i | ||||
\(356\) | 219.377 | − | 200.986i | 0.616228 | − | 0.564568i | ||||
\(357\) | 8.78092 | − | 0.835811i | 0.0245964 | − | 0.00234121i | ||||
\(358\) | −49.7814 | + | 19.3564i | −0.139054 | + | 0.0540681i | ||||
\(359\) | 293.260 | − | 169.314i | 0.816880 | − | 0.471626i | −0.0324595 | − | 0.999473i | \(-0.510334\pi\) |
0.849339 | + | 0.527847i | \(0.177001\pi\) | |||||||
\(360\) | 133.823 | − | 89.3921i | 0.371731 | − | 0.248311i | ||||
\(361\) | −166.279 | + | 288.004i | −0.460607 | + | 0.797794i | ||||
\(362\) | 246.068 | − | 306.566i | 0.679745 | − | 0.846867i | ||||
\(363\) | 2.74749i | 0.00756883i | ||||||||
\(364\) | −115.015 | + | 537.975i | −0.315977 | + | 1.47795i | ||||
\(365\) | −78.3029 | −0.214529 | ||||||||
\(366\) | 2.24198 | + | 1.79955i | 0.00612564 | + | 0.00491679i | ||||
\(367\) | −79.0477 | − | 45.6382i | −0.215389 | − | 0.124355i | 0.388425 | − | 0.921481i | \(-0.373019\pi\) |
−0.603813 | + | 0.797126i | \(0.706353\pi\) | |||||||
\(368\) | 259.792 | − | 370.880i | 0.705955 | − | 1.00783i | ||||
\(369\) | 60.2048 | + | 104.278i | 0.163157 | + | 0.282596i | ||||
\(370\) | 29.5798 | + | 76.0744i | 0.0799455 | + | 0.205607i | ||||
\(371\) | 322.425 | − | 229.451i | 0.869069 | − | 0.618467i | ||||
\(372\) | −7.85109 | + | 7.19291i | −0.0211051 | + | 0.0193358i | ||||
\(373\) | −270.303 | − | 468.178i | −0.724672 | − | 1.25517i | −0.959109 | − | 0.283038i | \(-0.908658\pi\) |
0.234436 | − | 0.972131i | \(-0.424676\pi\) | |||||||
\(374\) | 55.7614 | − | 362.181i | 0.149095 | − | 0.968397i | ||||
\(375\) | −0.575955 | − | 0.332528i | −0.00153588 | − | 0.000886740i | ||||
\(376\) | −683.722 | + | 44.7219i | −1.81841 | + | 0.118941i | ||||
\(377\) | 870.257 | 2.30837 | ||||||||
\(378\) | −6.73043 | − | 13.3908i | −0.0178054 | − | 0.0354255i | ||||
\(379\) | − | 729.417i | − | 1.92458i | −0.272022 | − | 0.962291i | \(-0.587692\pi\) | ||
0.272022 | − | 0.962291i | \(-0.412308\pi\) | |||||||
\(380\) | 14.3479 | − | 45.4916i | 0.0377576 | − | 0.119715i | ||||
\(381\) | −5.99732 | + | 10.3877i | −0.0157410 | + | 0.0272642i | ||||
\(382\) | −73.3682 | + | 476.540i | −0.192063 | + | 1.24749i | ||||
\(383\) | 521.417 | − | 301.040i | 1.36140 | − | 0.786006i | 0.371592 | − | 0.928396i | \(-0.378812\pi\) |
0.989811 | + | 0.142390i | \(0.0454788\pi\) | |||||||
\(384\) | −6.50807 | − | 3.95196i | −0.0169481 | − | 0.0102916i | ||||
\(385\) | −56.2776 | + | 123.133i | −0.146176 | + | 0.319825i | ||||
\(386\) | −146.237 | − | 376.099i | −0.378854 | − | 0.974349i | ||||
\(387\) | −324.727 | + | 187.481i | −0.839087 | + | 0.484447i | ||||
\(388\) | 104.862 | + | 473.202i | 0.270264 | + | 1.21959i | ||||
\(389\) | 292.800 | − | 507.145i | 0.752699 | − | 1.30371i | −0.193811 | − | 0.981039i | \(-0.562085\pi\) |
0.946510 | − | 0.322675i | \(-0.104582\pi\) | |||||||
\(390\) | 4.07607 | + | 3.27169i | 0.0104515 | + | 0.00838895i | ||||
\(391\) | 599.517i | 1.53329i | ||||||||
\(392\) | −98.9236 | − | 379.313i | −0.252356 | − | 0.967634i | ||||
\(393\) | −6.73941 | −0.0171486 | ||||||||
\(394\) | −62.4015 | + | 77.7436i | −0.158379 | + | 0.197319i | ||||
\(395\) | 40.6146 | + | 23.4489i | 0.102822 | + | 0.0593642i | ||||
\(396\) | −303.883 | + | 67.3409i | −0.767381 | + | 0.170053i | ||||
\(397\) | 43.6598 | + | 75.6210i | 0.109974 | + | 0.190481i | 0.915760 | − | 0.401727i | \(-0.131590\pi\) |
−0.805785 | + | 0.592208i | \(0.798256\pi\) | |||||||
\(398\) | 526.621 | − | 204.765i | 1.32317 | − | 0.514485i | ||||
\(399\) | −2.01970 | − | 0.923099i | −0.00506190 | − | 0.00231353i | ||||
\(400\) | 6.98663 | − | 79.6943i | 0.0174666 | − | 0.199236i | ||||
\(401\) | −4.12321 | − | 7.14161i | −0.0102823 | − | 0.0178095i | 0.860838 | − | 0.508878i | \(-0.169940\pi\) |
−0.871121 | + | 0.491069i | \(0.836606\pi\) | |||||||
\(402\) | 11.9236 | + | 1.83577i | 0.0296608 | + | 0.00456658i | ||||
\(403\) | 761.449 | + | 439.623i | 1.88945 | + | 1.09087i | ||||
\(404\) | 423.677 | + | 133.626i | 1.04871 | + | 0.330758i | ||||
\(405\) | 180.908 | 0.446686 | ||||||||
\(406\) | −554.060 | + | 278.478i | −1.36468 | + | 0.685907i | ||||
\(407\) | − | 157.863i | − | 0.387870i | ||||||
\(408\) | 10.0592 | − | 0.657968i | 0.0246549 | − | 0.00161267i | ||||
\(409\) | 139.118 | − | 240.960i | 0.340143 | − | 0.589144i | −0.644316 | − | 0.764759i | \(-0.722858\pi\) |
0.984459 | + | 0.175615i | \(0.0561913\pi\) | |||||||
\(410\) | 59.1586 | + | 9.10807i | 0.144289 | + | 0.0222148i | ||||
\(411\) | 6.10563 | − | 3.52509i | 0.0148555 | − | 0.00857685i | ||||
\(412\) | −27.4414 | − | 29.9524i | −0.0666053 | − | 0.0726999i | ||||
\(413\) | −18.0943 | − | 25.4261i | −0.0438120 | − | 0.0615645i | ||||
\(414\) | 474.605 | − | 184.539i | 1.14639 | − | 0.445748i | ||||
\(415\) | −80.6479 | + | 46.5621i | −0.194332 | + | 0.112198i | ||||
\(416\) | −149.574 | + | 610.672i | −0.359554 | + | 1.46796i | ||||
\(417\) | 2.59462 | − | 4.49402i | 0.00622212 | − | 0.0107770i | ||||
\(418\) | −57.7483 | + | 71.9463i | −0.138154 | + | 0.172120i | ||||
\(419\) | − | 195.857i | − | 0.467438i | −0.972304 | − | 0.233719i | \(-0.924910\pi\) | ||
0.972304 | − | 0.233719i | \(-0.0750896\pi\) | |||||||
\(420\) | −3.64201 | − | 0.778637i | −0.00867144 | − | 0.00185390i | ||||
\(421\) | −398.928 | −0.947573 | −0.473787 | − | 0.880640i | \(-0.657113\pi\) | ||||
−0.473787 | + | 0.880640i | \(0.657113\pi\) | |||||||
\(422\) | −402.679 | − | 323.213i | −0.954215 | − | 0.765908i | ||||
\(423\) | −667.297 | − | 385.264i | −1.57753 | − | 0.910790i | ||||
\(424\) | 376.080 | − | 251.216i | 0.886982 | − | 0.592491i | ||||
\(425\) | 52.9588 | + | 91.7273i | 0.124609 | + | 0.215829i | ||||
\(426\) | −3.88740 | − | 9.99775i | −0.00912536 | − | 0.0234689i | ||||
\(427\) | 16.0285 | + | 168.393i | 0.0375374 | + | 0.394363i | ||||
\(428\) | 36.2145 | + | 39.5283i | 0.0846133 | + | 0.0923557i | ||||
\(429\) | −5.05436 | − | 8.75441i | −0.0117817 | − | 0.0204066i | ||||
\(430\) | −28.3630 | + | 184.223i | −0.0659605 | + | 0.428425i | ||||
\(431\) | −145.951 | − | 84.2647i | −0.338633 | − | 0.195510i | 0.321035 | − | 0.947067i | \(-0.395969\pi\) |
−0.659667 | + | 0.751558i | \(0.729303\pi\) | |||||||
\(432\) | −7.23590 | − | 15.5246i | −0.0167498 | − | 0.0359367i | ||||
\(433\) | −386.224 | −0.891972 | −0.445986 | − | 0.895040i | \(-0.647147\pi\) | ||||
−0.445986 | + | 0.895040i | \(0.647147\pi\) | |||||||
\(434\) | −625.463 | − | 36.2308i | −1.44116 | − | 0.0834812i | ||||
\(435\) | 5.89150i | 0.0135437i | ||||||||
\(436\) | −109.638 | − | 34.5793i | −0.251462 | − | 0.0793103i | ||||
\(437\) | 75.4662 | − | 130.711i | 0.172692 | − | 0.299111i | ||||
\(438\) | −0.633939 | + | 4.11755i | −0.00144735 | + | 0.00940079i | ||||
\(439\) | −693.728 | + | 400.524i | −1.58025 | + | 0.912355i | −0.585423 | + | 0.810728i | \(0.699071\pi\) |
−0.994823 | + | 0.101627i | \(0.967595\pi\) | |||||||
\(440\) | −68.4515 | + | 138.759i | −0.155572 | + | 0.315362i | ||||
\(441\) | 144.431 | − | 416.495i | 0.327508 | − | 0.944432i | ||||
\(442\) | −301.662 | − | 775.826i | −0.682494 | − | 1.75526i | ||||
\(443\) | −34.1073 | + | 19.6919i | −0.0769916 | + | 0.0444511i | −0.538002 | − | 0.842944i | \(-0.680821\pi\) |
0.461010 | + | 0.887395i | \(0.347487\pi\) | |||||||
\(444\) | 4.23984 | − | 0.939554i | 0.00954919 | − | 0.00211611i | ||||
\(445\) | 83.1611 | − | 144.039i | 0.186879 | − | 0.323684i | ||||
\(446\) | 305.953 | + | 245.576i | 0.685993 | + | 0.550618i | ||||
\(447\) | − | 8.39522i | − | 0.0187812i | ||||||
\(448\) | −100.184 | − | 436.655i | −0.223625 | − | 0.974675i | ||||
\(449\) | 27.1715 | 0.0605156 | 0.0302578 | − | 0.999542i | \(-0.490367\pi\) | ||||
0.0302578 | + | 0.999542i | \(0.490367\pi\) | |||||||
\(450\) | 56.3141 | − | 70.1595i | 0.125142 | − | 0.155910i | ||||
\(451\) | −100.255 | − | 57.8821i | −0.222294 | − | 0.128342i | ||||
\(452\) | −128.476 | − | 579.763i | −0.284240 | − | 1.28266i | ||||
\(453\) | −1.74828 | − | 3.02810i | −0.00385933 | − | 0.00668455i | ||||
\(454\) | −44.1875 | + | 17.1813i | −0.0973293 | + | 0.0378443i | ||||
\(455\) | 29.1408 | + | 306.150i | 0.0640457 | + | 0.672856i | ||||
\(456\) | −2.27601 | − | 1.12278i | −0.00499125 | − | 0.00246224i | ||||
\(457\) | 359.096 | + | 621.972i | 0.785767 | + | 1.36099i | 0.928540 | + | 0.371233i | \(0.121065\pi\) |
−0.142773 | + | 0.989756i | \(0.545602\pi\) | |||||||
\(458\) | 137.248 | + | 21.1307i | 0.299668 | + | 0.0461369i | ||||
\(459\) | 19.6390 | + | 11.3386i | 0.0427864 | + | 0.0247027i | ||||
\(460\) | 76.1400 | − | 241.410i | 0.165522 | − | 0.524805i | ||||
\(461\) | −368.312 | −0.798942 | −0.399471 | − | 0.916746i | \(-0.630806\pi\) | ||||
−0.399471 | + | 0.916746i | \(0.630806\pi\) | |||||||
\(462\) | 6.01929 | + | 3.95623i | 0.0130288 | + | 0.00856327i | ||||
\(463\) | 707.451i | 1.52797i | 0.645233 | + | 0.763986i | \(0.276760\pi\) | ||||
−0.645233 | + | 0.763986i | \(0.723240\pi\) | |||||||
\(464\) | −642.348 | + | 299.393i | −1.38437 | + | 0.645243i | ||||
\(465\) | −2.97618 | + | 5.15489i | −0.00640038 | + | 0.0110858i | ||||
\(466\) | 187.654 | + | 28.8912i | 0.402691 | + | 0.0619984i | ||||
\(467\) | −324.578 | + | 187.395i | −0.695028 | + | 0.401275i | −0.805493 | − | 0.592605i | \(-0.798099\pi\) |
0.110465 | + | 0.993880i | \(0.464766\pi\) | |||||||
\(468\) | −521.323 | + | 477.620i | −1.11394 | + | 1.02055i | ||||
\(469\) | 411.574 | + | 578.343i | 0.877557 | + | 1.23314i | ||||
\(470\) | −356.992 | + | 138.808i | −0.759558 | + | 0.295337i | ||||
\(471\) | −2.02470 | + | 1.16896i | −0.00429873 | + | 0.00248187i | ||||
\(472\) | −19.8107 | − | 29.6574i | −0.0419718 | − | 0.0628334i | ||||
\(473\) | 180.248 | − | 312.199i | 0.381074 | − | 0.660039i | ||||
\(474\) | 1.56187 | − | 1.94587i | 0.00329509 | − | 0.00410522i | ||||
\(475\) | − | 26.6655i | − | 0.0561378i | ||||||
\(476\) | 440.318 | + | 397.408i | 0.925037 | + | 0.834891i | ||||
\(477\) | 508.601 | 1.06625 | ||||||||
\(478\) | −33.2705 | − | 26.7048i | −0.0696035 | − | 0.0558678i | ||||
\(479\) | 429.012 | + | 247.690i | 0.895640 | + | 0.517098i | 0.875783 | − | 0.482705i | \(-0.160346\pi\) |
0.0198570 | + | 0.999803i | \(0.493679\pi\) | |||||||
\(480\) | −4.13415 | − | 1.01259i | −0.00861281 | − | 0.00210957i | ||||
\(481\) | −179.298 | − | 310.553i | −0.372761 | − | 0.645641i | ||||
\(482\) | 97.5135 | + | 250.789i | 0.202310 | + | 0.520308i | ||||
\(483\) | −10.7179 | − | 4.89860i | −0.0221903 | − | 0.0101420i | ||||
\(484\) | −136.226 | + | 124.806i | −0.281458 | + | 0.257863i | ||||
\(485\) | 135.473 | + | 234.646i | 0.279325 | + | 0.483805i | ||||
\(486\) | 4.39676 | − | 28.5578i | 0.00904683 | − | 0.0587608i | ||||
\(487\) | −698.326 | − | 403.178i | −1.43393 | − | 0.827882i | −0.436515 | − | 0.899697i | \(-0.643788\pi\) |
−0.997418 | + | 0.0718149i | \(0.977121\pi\) | |||||||
\(488\) | 12.6180 | + | 192.907i | 0.0258565 | + | 0.395301i | ||||
\(489\) | 1.27273 | 0.00260272 | ||||||||
\(490\) | −116.519 | − | 185.589i | −0.237795 | − | 0.378753i | ||||
\(491\) | 554.713i | 1.12976i | 0.825172 | + | 0.564881i | \(0.191078\pi\) | ||||
−0.825172 | + | 0.564881i | \(0.808922\pi\) | |||||||
\(492\) | 0.957892 | − | 3.03710i | 0.00194694 | − | 0.00617298i | ||||
\(493\) | 469.144 | − | 812.582i | 0.951611 | − | 1.64824i | ||||
\(494\) | −31.8889 | + | 207.124i | −0.0645525 | + | 0.419280i | ||||
\(495\) | −150.686 | + | 86.9984i | −0.304415 | + | 0.175754i | ||||
\(496\) | −713.277 | − | 62.5315i | −1.43806 | − | 0.126072i | ||||
\(497\) | 262.367 | − | 574.046i | 0.527901 | − | 1.15502i | ||||
\(498\) | 1.79554 | + | 4.61782i | 0.00360550 | + | 0.00927274i | ||||
\(499\) | 430.877 | − | 248.767i | 0.863482 | − | 0.498531i | −0.00169487 | − | 0.999999i | \(-0.500539\pi\) |
0.865177 | + | 0.501467i | \(0.167206\pi\) | |||||||
\(500\) | −9.67559 | − | 43.6621i | −0.0193512 | − | 0.0873243i | ||||
\(501\) | 8.48844 | − | 14.7024i | 0.0169430 | − | 0.0293461i | ||||
\(502\) | −427.425 | − | 343.076i | −0.851444 | − | 0.683418i | ||||
\(503\) | − | 534.499i | − | 1.06262i | −0.847177 | − | 0.531311i | \(-0.821700\pi\) | ||
0.847177 | − | 0.531311i | \(-0.178300\pi\) | |||||||
\(504\) | 179.071 | − | 470.903i | 0.355299 | − | 0.934332i | ||||
\(505\) | 248.344 | 0.491769 | ||||||||
\(506\) | −306.453 | + | 381.797i | −0.605637 | + | 0.754540i | ||||
\(507\) | −11.1802 | − | 6.45487i | −0.0220516 | − | 0.0127315i | ||||
\(508\) | −787.471 | + | 174.505i | −1.55014 | + | 0.343513i | ||||
\(509\) | −441.578 | − | 764.835i | −0.867540 | − | 1.50262i | −0.864503 | − | 0.502628i | \(-0.832366\pi\) |
−0.00303763 | − | 0.999995i | \(-0.500967\pi\) | |||||||
\(510\) | 5.25222 | − | 2.04221i | 0.0102985 | − | 0.00400433i | ||||
\(511\) | −199.717 | + | 142.128i | −0.390836 | + | 0.278136i | ||||
\(512\) | −99.6853 | − | 502.202i | −0.194698 | − | 0.980863i | ||||
\(513\) | −2.85456 | − | 4.94424i | −0.00556444 | − | 0.00963790i | ||||
\(514\) | 221.506 | + | 34.1031i | 0.430945 | + | 0.0663484i | ||||
\(515\) | −19.6662 | − | 11.3543i | −0.0381868 | − | 0.0220472i | ||||
\(516\) | 9.45771 | + | 2.98293i | 0.0183289 | + | 0.00578087i | ||||
\(517\) | 740.800 | 1.43288 | ||||||||
\(518\) | 213.528 | + | 140.343i | 0.412216 | + | 0.270932i | ||||
\(519\) | − | 13.7653i | − | 0.0265227i | ||||||
\(520\) | 22.9402 | + | 350.717i | 0.0441159 | + | 0.674456i | ||||
\(521\) | 32.3392 | − | 56.0132i | 0.0620715 | − | 0.107511i | −0.833320 | − | 0.552791i | \(-0.813563\pi\) |
0.895391 | + | 0.445280i | \(0.146896\pi\) | |||||||
\(522\) | −787.686 | − | 121.272i | −1.50898 | − | 0.232322i | ||||
\(523\) | 392.518 | − | 226.620i | 0.750513 | − | 0.433309i | −0.0753664 | − | 0.997156i | \(-0.524013\pi\) |
0.825879 | + | 0.563847i | \(0.190679\pi\) | |||||||
\(524\) | −306.140 | − | 334.153i | −0.584237 | − | 0.637697i | ||||
\(525\) | −2.07258 | + | 0.197279i | −0.00394778 | + | 0.000375769i | ||||
\(526\) | 129.702 | − | 50.4318i | 0.246582 | − | 0.0958779i | ||||
\(527\) | 820.974 | − | 473.989i | 1.55783 | − | 0.899411i | ||||
\(528\) | 6.74245 | + | 4.72290i | 0.0127698 | + | 0.00894489i | ||||
\(529\) | 135.976 | − | 235.518i | 0.257044 | − | 0.445214i | ||||
\(530\) | 158.258 | − | 197.168i | 0.298600 | − | 0.372014i | ||||
\(531\) | − | 40.1078i | − | 0.0755327i | ||||||
\(532\) | −45.9764 | − | 142.073i | −0.0864218 | − | 0.267054i | ||||
\(533\) | −262.966 | −0.493369 | ||||||||
\(534\) | −6.90101 | − | 5.53915i | −0.0129232 | − | 0.0103729i | ||||
\(535\) | 25.9536 | + | 14.9843i | 0.0485113 | + | 0.0280080i | ||||
\(536\) | 450.615 | + | 674.587i | 0.840699 | + | 1.25856i | ||||
\(537\) | 0.794296 | + | 1.37576i | 0.00147914 | + | 0.00256194i | ||||
\(538\) | 6.49401 | + | 16.7015i | 0.0120706 | + | 0.0310437i | ||||
\(539\) | 79.9579 | + | 416.208i | 0.148345 | + | 0.772186i | ||||
\(540\) | −6.46809 | − | 7.05994i | −0.0119779 | − | 0.0130740i | ||||
\(541\) | 373.192 | + | 646.388i | 0.689819 | + | 1.19480i | 0.971896 | + | 0.235410i | \(0.0756432\pi\) |
−0.282077 | + | 0.959392i | \(0.591023\pi\) | |||||||
\(542\) | 2.69317 | − | 17.4927i | 0.00496896 | − | 0.0322743i | ||||
\(543\) | −10.1254 | − | 5.84590i | −0.0186472 | − | 0.0107659i | ||||
\(544\) | 489.566 | + | 468.866i | 0.899938 | + | 0.861887i | ||||
\(545\) | −64.2653 | −0.117918 | ||||||||
\(546\) | 16.3348 | + | 0.946214i | 0.0299171 | + | 0.00173299i | ||||
\(547\) | 644.523i | 1.17829i | 0.808028 | + | 0.589143i | \(0.200535\pi\) | ||||
−0.808028 | + | 0.589143i | \(0.799465\pi\) | |||||||
\(548\) | 452.131 | + | 142.601i | 0.825057 | + | 0.260220i | ||||
\(549\) | −108.699 | + | 188.273i | −0.197995 | + | 0.342938i | ||||
\(550\) | −13.1615 | + | 85.4865i | −0.0239300 | + | 0.155430i | ||||
\(551\) | −204.573 | + | 118.110i | −0.371276 | + | 0.214356i | ||||
\(552\) | −12.0781 | − | 5.95826i | −0.0218806 | − | 0.0107939i | ||||
\(553\) | 146.153 | − | 13.9115i | 0.264290 | − | 0.0251564i | ||||
\(554\) | 217.936 | + | 560.495i | 0.393386 | + | 1.01172i | ||||
\(555\) | 2.10240 | − | 1.21382i | 0.00378810 | − | 0.00218706i | ||||
\(556\) | 340.684 | − | 75.4960i | 0.612741 | − | 0.135784i | ||||
\(557\) | −97.1610 | + | 168.288i | −0.174436 | + | 0.302133i | −0.939966 | − | 0.341268i | \(-0.889144\pi\) |
0.765530 | + | 0.643401i | \(0.222477\pi\) | |||||||
\(558\) | −627.939 | − | 504.020i | −1.12534 | − | 0.903262i | ||||
\(559\) | − | 818.889i | − | 1.46492i | ||||||
\(560\) | −126.833 | − | 215.948i | −0.226488 | − | 0.385621i | ||||
\(561\) | −10.8990 | −0.0194277 | ||||||||
\(562\) | 29.6882 | − | 36.9873i | 0.0528260 | − | 0.0658138i | ||||
\(563\) | −257.238 | − | 148.517i | −0.456907 | − | 0.263795i | 0.253836 | − | 0.967247i | \(-0.418308\pi\) |
−0.710743 | + | 0.703452i | \(0.751641\pi\) | |||||||
\(564\) | 4.40902 | + | 19.8962i | 0.00781741 | + | 0.0352769i | ||||
\(565\) | −165.980 | − | 287.486i | −0.293770 | − | 0.508824i | ||||
\(566\) | −305.657 | + | 118.848i | −0.540031 | + | 0.209979i | ||||
\(567\) | 461.419 | − | 328.366i | 0.813790 | − | 0.579128i | ||||
\(568\) | 319.121 | − | 646.897i | 0.561833 | − | 1.13890i | ||||
\(569\) | −420.550 | − | 728.414i | −0.739104 | − | 1.28017i | −0.952899 | − | 0.303287i | \(-0.901916\pi\) |
0.213796 | − | 0.976878i | \(-0.431417\pi\) | |||||||
\(570\) | −1.40220 | − | 0.215883i | −0.00246000 | − | 0.000378742i | ||||
\(571\) | 178.283 | + | 102.932i | 0.312230 | + | 0.180266i | 0.647924 | − | 0.761705i | \(-0.275638\pi\) |
−0.335694 | + | 0.941971i | \(0.608971\pi\) | |||||||
\(572\) | 204.465 | − | 648.278i | 0.357455 | − | 1.13335i | ||||
\(573\) | 14.3403 | 0.0250268 | ||||||||
\(574\) | 167.420 | − | 84.1478i | 0.291673 | − | 0.146599i | ||||
\(575\) | − | 141.506i | − | 0.246097i | ||||||
\(576\) | 220.481 | − | 531.887i | 0.382779 | − | 0.923414i | ||||
\(577\) | −156.530 | + | 271.117i | −0.271282 | + | 0.469874i | −0.969190 | − | 0.246313i | \(-0.920781\pi\) |
0.697908 | + | 0.716187i | \(0.254114\pi\) | |||||||
\(578\) | −315.762 | − | 48.6147i | −0.546300 | − | 0.0841086i | ||||
\(579\) | −10.3939 | + | 6.00091i | −0.0179514 | + | 0.0103643i | ||||
\(580\) | −292.112 | + | 267.624i | −0.503642 | + | 0.461420i | ||||
\(581\) | −121.184 | + | 265.144i | −0.208578 | + | 0.456358i | ||||
\(582\) | 13.4356 | − | 5.22413i | 0.0230852 | − | 0.00897616i | ||||
\(583\) | −423.468 | + | 244.489i | −0.726360 | + | 0.419364i | ||||
\(584\) | −232.953 | + | 155.609i | −0.398892 | + | 0.266454i | ||||
\(585\) | −197.622 | + | 342.292i | −0.337816 | + | 0.585114i | ||||
\(586\) | 271.399 | − | 338.126i | 0.463139 | − | 0.577006i | ||||
\(587\) | 993.672i | 1.69280i | 0.532549 | + | 0.846399i | \(0.321234\pi\) | ||||
−0.532549 | + | 0.846399i | \(0.678766\pi\) | |||||||
\(588\) | −10.7025 | + | 4.62463i | −0.0182015 | + | 0.00786501i | ||||
\(589\) | −238.660 | −0.405196 | ||||||||
\(590\) | −15.5485 | − | 12.4801i | −0.0263533 | − | 0.0211527i | ||||
\(591\) | 2.56775 | + | 1.48249i | 0.00434476 | + | 0.00250845i | ||||
\(592\) | 239.181 | + | 167.540i | 0.404022 | + | 0.283007i | ||||
\(593\) | 496.165 | + | 859.383i | 0.836703 | + | 1.44921i | 0.892636 | + | 0.450777i | \(0.148853\pi\) |
−0.0559335 | + | 0.998434i | \(0.517813\pi\) | |||||||
\(594\) | 6.71102 | + | 17.2596i | 0.0112980 | + | 0.0290566i | ||||
\(595\) | 301.569 | + | 137.832i | 0.506839 | + | 0.231650i | ||||
\(596\) | 416.251 | − | 381.356i | 0.698408 | − | 0.639859i | ||||
\(597\) | −8.40261 | − | 14.5537i | −0.0140747 | − | 0.0243781i | ||||
\(598\) | −169.225 | + | 1099.15i | −0.282985 | + | 1.83804i | ||||
\(599\) | −936.038 | − | 540.422i | −1.56267 | − | 0.902207i | −0.996986 | − | 0.0775841i | \(-0.975279\pi\) |
−0.565683 | − | 0.824623i | \(-0.691387\pi\) | |||||||
\(600\) | −2.37430 | + | 0.155302i | −0.00395717 | + | 0.000258836i | ||||
\(601\) | −314.383 | −0.523099 | −0.261550 | − | 0.965190i | \(-0.584234\pi\) | ||||
−0.261550 | + | 0.965190i | \(0.584234\pi\) | |||||||
\(602\) | 262.041 | + | 521.356i | 0.435284 | + | 0.866039i | ||||
\(603\) | 912.294i | 1.51292i | ||||||||
\(604\) | 70.7231 | − | 224.236i | 0.117091 | − | 0.371251i | ||||
\(605\) | −51.6402 | + | 89.4435i | −0.0853557 | + | 0.147840i | ||||
\(606\) | 2.01058 | − | 13.0591i | 0.00331779 | − | 0.0215497i | ||||
\(607\) | 716.137 | − | 413.462i | 1.17980 | − | 0.681157i | 0.223830 | − | 0.974628i | \(-0.428144\pi\) |
0.955968 | + | 0.293472i | \(0.0948106\pi\) | |||||||
\(608\) | −47.7189 | − | 163.852i | −0.0784851 | − | 0.269493i | ||||
\(609\) | 10.6937 | + | 15.0267i | 0.0175594 | + | 0.0246744i | ||||
\(610\) | 39.1637 | + | 100.723i | 0.0642028 | + | 0.165119i | ||||
\(611\) | 1457.33 | − | 841.387i | 2.38515 | − | 1.37707i | ||||
\(612\) | 164.927 | + | 744.251i | 0.269489 | + | 1.21610i | ||||
\(613\) | −240.936 | + | 417.313i | −0.393044 | + | 0.680772i | −0.992849 | − | 0.119374i | \(-0.961911\pi\) |
0.599805 | + | 0.800146i | \(0.295245\pi\) | |||||||
\(614\) | 111.011 | + | 89.1036i | 0.180799 | + | 0.145120i | ||||
\(615\) | − | 1.78024i | − | 0.00289469i | ||||||
\(616\) | 77.2711 | + | 478.161i | 0.125440 | + | 0.776236i | ||||
\(617\) | −153.129 | −0.248183 | −0.124091 | − | 0.992271i | \(-0.539602\pi\) | ||||
−0.124091 | + | 0.992271i | \(0.539602\pi\) | |||||||
\(618\) | −0.756280 | + | 0.942220i | −0.00122375 | + | 0.00152463i | ||||
\(619\) | −52.1623 | − | 30.1159i | −0.0842687 | − | 0.0486525i | 0.457274 | − | 0.889326i | \(-0.348826\pi\) |
−0.541542 | + | 0.840674i | \(0.682159\pi\) | |||||||
\(620\) | −390.783 | + | 86.5981i | −0.630295 | + | 0.139674i | ||||
\(621\) | −15.1483 | − | 26.2376i | −0.0243934 | − | 0.0422505i | ||||
\(622\) | 62.8697 | − | 24.4455i | 0.101077 | − | 0.0393014i | ||||
\(623\) | −49.3370 | − | 518.328i | −0.0791926 | − | 0.831987i | ||||
\(624\) | 18.6281 | + | 1.63309i | 0.0298528 | + | 0.00261713i | ||||
\(625\) | −12.5000 | − | 21.6506i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | −157.015 | − | 24.1741i | −0.250823 | − | 0.0386168i | ||||
\(627\) | 2.37628 | + | 1.37194i | 0.00378992 | + | 0.00218811i | ||||
\(628\) | −149.932 | − | 47.2881i | −0.238746 | − | 0.0752996i | ||||
\(629\) | −386.629 | −0.614673 | ||||||||
\(630\) | 16.2867 | − | 281.162i | 0.0258520 | − | 0.446290i | ||||
\(631\) | 685.053i | 1.08566i | 0.839842 | + | 0.542831i | \(0.182648\pi\) | ||||
−0.839842 | + | 0.542831i | \(0.817352\pi\) | |||||||
\(632\) | 167.429 | − | 10.9514i | 0.264919 | − | 0.0173282i | ||||
\(633\) | −7.67868 | + | 13.2999i | −0.0121306 | + | 0.0210108i | ||||
\(634\) | 635.343 | + | 97.8175i | 1.00212 | + | 0.154286i | ||||
\(635\) | −390.481 | + | 225.445i | −0.614931 | + | 0.355031i | ||||
\(636\) | −9.08677 | − | 9.91824i | −0.0142874 | − | 0.0155947i | ||||
\(637\) | 630.017 | + | 727.963i | 0.989038 | + | 1.14280i | ||||
\(638\) | 714.134 | − | 277.675i | 1.11933 | − | 0.435228i | ||||
\(639\) | 702.498 | − | 405.587i | 1.09937 | − | 0.634722i | ||||
\(640\) | −137.589 | − | 250.977i | −0.214983 | − | 0.392151i | ||||
\(641\) | 29.2815 | − | 50.7171i | 0.0456810 | − | 0.0791218i | −0.842281 | − | 0.539039i | \(-0.818788\pi\) |
0.887962 | + | 0.459917i | \(0.152121\pi\) | |||||||
\(642\) | 0.998066 | − | 1.24345i | 0.00155462 | − | 0.00193684i | ||||
\(643\) | − | 357.200i | − | 0.555521i | −0.960650 | − | 0.277761i | \(-0.910408\pi\) | ||
0.960650 | − | 0.277761i | \(-0.0895922\pi\) | |||||||
\(644\) | −243.983 | − | 753.936i | −0.378855 | − | 1.17071i | ||||
\(645\) | 5.54375 | 0.00859496 | ||||||||
\(646\) | 176.207 | + | 141.434i | 0.272765 | + | 0.218937i | ||||
\(647\) | −893.156 | − | 515.664i | −1.38046 | − | 0.797007i | −0.388244 | − | 0.921557i | \(-0.626918\pi\) |
−0.992213 | + | 0.124550i | \(0.960251\pi\) | |||||||
\(648\) | 538.205 | − | 359.513i | 0.830563 | − | 0.554804i | ||||
\(649\) | 19.2802 | + | 33.3943i | 0.0297076 | + | 0.0514550i | ||||
\(650\) | 71.2022 | + | 183.120i | 0.109542 | + | 0.281723i | ||||
\(651\) | 1.76568 | + | 18.5500i | 0.00271225 | + | 0.0284946i | ||||
\(652\) | 57.8143 | + | 63.1045i | 0.0886723 | + | 0.0967861i | ||||
\(653\) | 280.282 | + | 485.463i | 0.429223 | + | 0.743435i | 0.996804 | − | 0.0798816i | \(-0.0254542\pi\) |
−0.567582 | + | 0.823317i | \(0.692121\pi\) | |||||||
\(654\) | −0.520291 | + | 3.37938i | −0.000795551 | + | 0.00516725i | ||||
\(655\) | −219.399 | − | 126.670i | −0.334961 | − | 0.193390i | ||||
\(656\) | 194.098 | − | 90.4674i | 0.295881 | − | 0.137908i | ||||
\(657\) | −315.039 | −0.479512 | ||||||||
\(658\) | −658.584 | + | 1002.02i | −1.00089 | + | 1.52282i | ||||
\(659\) | 1097.11i | 1.66481i | 0.554171 | + | 0.832403i | \(0.313035\pi\) | ||||
−0.554171 | + | 0.832403i | \(0.686965\pi\) | |||||||
\(660\) | 4.38874 | + | 1.38419i | 0.00664960 | + | 0.00209726i | ||||
\(661\) | 413.693 | − | 716.536i | 0.625859 | − | 1.08402i | −0.362516 | − | 0.931978i | \(-0.618082\pi\) |
0.988374 | − | 0.152041i | \(-0.0485846\pi\) | |||||||
\(662\) | −40.0371 | + | 260.049i | −0.0604791 | + | 0.392823i | ||||
\(663\) | −21.4408 | + | 12.3788i | −0.0323390 | + | 0.0186709i | ||||
\(664\) | −147.398 | + | 298.793i | −0.221985 | + | 0.449989i | ||||
\(665\) | −48.4004 | − | 68.0122i | −0.0727826 | − | 0.102274i | ||||
\(666\) | 119.010 | + | 306.073i | 0.178693 | + | 0.459569i | ||||
\(667\) | −1085.61 | + | 626.775i | −1.62760 | + | 0.939693i | ||||
\(668\) | 1114.56 | − | 246.989i | 1.66851 | − | 0.369744i | ||||
\(669\) | 5.83422 | − | 10.1052i | 0.00872081 | − | 0.0151049i | ||||
\(670\) | 353.666 | + | 283.872i | 0.527859 | + | 0.423690i | ||||
\(671\) | − | 209.011i | − | 0.311492i | ||||||
\(672\) | −12.3824 | + | 4.92119i | −0.0184262 | + | 0.00732321i | ||||
\(673\) | −133.775 | −0.198774 | −0.0993872 | − | 0.995049i | \(-0.531688\pi\) | ||||
−0.0993872 | + | 0.995049i | \(0.531688\pi\) | |||||||
\(674\) | −161.412 | + | 201.097i | −0.239484 | + | 0.298363i | ||||
\(675\) | −4.63543 | − | 2.67627i | −0.00686731 | − | 0.00396484i | ||||
\(676\) | −187.818 | − | 847.550i | −0.277837 | − | 1.25377i | ||||
\(677\) | −500.205 | − | 866.380i | −0.738855 | − | 1.27973i | −0.953011 | − | 0.302935i | \(-0.902034\pi\) |
0.214156 | − | 0.976799i | \(-0.431300\pi\) | |||||||
\(678\) | −16.4612 | + | 6.40055i | −0.0242790 | + | 0.00944034i | ||||
\(679\) | 771.438 | + | 352.584i | 1.13614 | + | 0.519270i | ||||
\(680\) | 339.841 | + | 167.647i | 0.499765 | + | 0.246540i | ||||
\(681\) | 0.705042 | + | 1.22117i | 0.00103530 | + | 0.00179320i | ||||
\(682\) | 765.117 | + | 117.798i | 1.12187 | + | 0.172724i | ||||
\(683\) | −678.398 | − | 391.673i | −0.993262 | − | 0.573460i | −0.0870144 | − | 0.996207i | \(-0.527733\pi\) |
−0.906248 | + | 0.422747i | \(0.861066\pi\) | |||||||
\(684\) | 57.7265 | − | 183.028i | 0.0843955 | − | 0.267585i | ||||
\(685\) | 265.022 | 0.386894 | ||||||||
\(686\) | −634.053 | − | 261.864i | −0.924276 | − | 0.381726i | ||||
\(687\) | − | 4.13014i | − | 0.00601186i | ||||||
\(688\) | 281.720 | + | 604.432i | 0.409477 | + | 0.878535i | ||||
\(689\) | −555.373 | + | 961.934i | −0.806057 | + | 1.39613i | ||||
\(690\) | −7.44105 | − | 1.14563i | −0.0107841 | − | 0.00166033i | ||||
\(691\) | 712.391 | − | 411.299i | 1.03096 | − | 0.595223i | 0.113698 | − | 0.993515i | \(-0.463730\pi\) |
0.917258 | + | 0.398293i | \(0.130397\pi\) | |||||||
\(692\) | 682.508 | − | 625.292i | 0.986284 | − | 0.903601i | ||||
\(693\) | −226.424 | + | 495.405i | −0.326730 | + | 0.714870i | ||||
\(694\) | −408.323 | + | 158.767i | −0.588361 | + | 0.228771i | ||||
\(695\) | 168.934 | − | 97.5341i | 0.243071 | − | 0.140337i | ||||
\(696\) | 11.7080 | + | 17.5273i | 0.0168219 | + | 0.0251830i | ||||
\(697\) | −141.761 | + | 245.538i | −0.203388 | + | 0.352278i | ||||
\(698\) | −799.403 | + | 995.945i | −1.14528 | + | 1.42686i | ||||
\(699\) | − | 5.64700i | − | 0.00807868i | ||||||
\(700\) | −103.929 | − | 93.8013i | −0.148471 | − | 0.134002i | ||||
\(701\) | −16.7048 | −0.0238300 | −0.0119150 | − | 0.999929i | \(-0.503793\pi\) | ||||
−0.0119150 | + | 0.999929i | \(0.503793\pi\) | |||||||
\(702\) | 32.8053 | + | 26.3314i | 0.0467312 | + | 0.0375092i | ||||
\(703\) | 84.2959 | + | 48.6683i | 0.119909 | + | 0.0692294i | ||||
\(704\) | 72.1076 | + | 548.843i | 0.102426 | + | 0.779607i | ||||
\(705\) | 5.69606 | + | 9.86586i | 0.00807952 | + | 0.0139941i | ||||
\(706\) | 238.411 | + | 613.153i | 0.337692 | + | 0.868489i | ||||
\(707\) | 633.418 | − | 450.768i | 0.895924 | − | 0.637578i | ||||
\(708\) | −0.782144 | + | 0.716575i | −0.00110472 | + | 0.00101211i | ||||
\(709\) | 347.150 | + | 601.281i | 0.489633 | + | 0.848069i | 0.999929 | − | 0.0119301i | \(-0.00379754\pi\) |
−0.510296 | + | 0.859999i | \(0.670464\pi\) | |||||||
\(710\) | 61.3591 | − | 398.539i | 0.0864213 | − | 0.561322i | ||||
\(711\) | 163.406 | + | 94.3428i | 0.229826 | + | 0.132690i | ||||
\(712\) | −38.8391 | − | 593.783i | −0.0545493 | − | 0.833965i | ||||
\(713\) | −1266.50 | −1.77629 | ||||||||
\(714\) | 9.68935 | − | 14.7421i | 0.0135705 | − | 0.0206472i | ||||
\(715\) | − | 379.996i | − | 0.531463i | ||||||
\(716\) | −32.1317 | + | 101.877i | −0.0448767 | + | 0.142287i | ||||
\(717\) | −0.634435 | + | 1.09887i | −0.000884846 | + | 0.00153260i | ||||
\(718\) | 103.056 | − | 669.368i | 0.143532 | − | 0.932267i | ||||
\(719\) | −848.964 | + | 490.149i | −1.18076 | + | 0.681710i | −0.956189 | − | 0.292749i | \(-0.905430\pi\) |
−0.224567 | + | 0.974459i | \(0.572097\pi\) | |||||||
\(720\) | 28.1096 | − | 320.637i | 0.0390411 | − | 0.445330i | ||||
\(721\) | −70.7692 | + | 6.73616i | −0.0981542 | + | 0.00934280i | ||||
\(722\) | 241.036 | + | 619.904i | 0.333845 | + | 0.858593i | ||||
\(723\) | 6.93081 | − | 4.00151i | 0.00958619 | − | 0.00553459i | ||||
\(724\) | −170.099 | − | 767.590i | −0.234943 | − | 1.06021i | ||||
\(725\) | −110.733 | + | 191.796i | −0.152736 | + | 0.264546i | ||||
\(726\) | 4.28529 | + | 3.43962i | 0.00590261 | + | 0.00473777i | ||||
\(727\) | − | 597.184i | − | 0.821437i | −0.911762 | − | 0.410718i | \(-0.865278\pi\) | ||
0.911762 | − | 0.410718i | \(-0.134722\pi\) | |||||||
\(728\) | 695.097 | + | 852.891i | 0.954804 | + | 1.17155i | ||||
\(729\) | 727.281 | 0.997642 | ||||||||
\(730\) | −98.0287 | + | 122.130i | −0.134286 | + | 0.167302i | ||||
\(731\) | −764.618 | − | 441.452i | −1.04599 | − | 0.603902i | ||||
\(732\) | 5.61355 | − | 1.24397i | 0.00766879 | − | 0.00169941i | ||||
\(733\) | −640.271 | − | 1108.98i | −0.873494 | − | 1.51294i | −0.858359 | − | 0.513050i | \(-0.828516\pi\) |
−0.0151346 | − | 0.999885i | \(-0.504818\pi\) | |||||||
\(734\) | −170.144 | + | 66.1565i | −0.231803 | + | 0.0901315i | ||||
\(735\) | −4.92820 | + | 4.26512i | −0.00670503 | + | 0.00580288i | ||||
\(736\) | −253.230 | − | 869.512i | −0.344062 | − | 1.18140i | ||||
\(737\) | −438.548 | − | 759.588i | −0.595045 | − | 1.03065i | ||||
\(738\) | 238.015 | + | 36.6448i | 0.322514 | + | 0.0496543i | ||||
\(739\) | −198.065 | − | 114.353i | −0.268018 | − | 0.154740i | 0.359969 | − | 0.932964i | \(-0.382787\pi\) |
−0.627986 | + | 0.778224i | \(0.716121\pi\) | |||||||
\(740\) | 155.686 | + | 49.1028i | 0.210386 | + | 0.0663551i | ||||
\(741\) | 6.23291 | 0.00841149 | ||||||||
\(742\) | 45.7702 | − | 790.144i | 0.0616850 | − | 1.06488i | ||||
\(743\) | 296.103i | 0.398523i | 0.979946 | + | 0.199262i | \(0.0638544\pi\) | ||||
−0.979946 | + | 0.199262i | \(0.936146\pi\) | |||||||
\(744\) | 1.38998 | + | 21.2504i | 0.00186825 | + | 0.0285623i | ||||
\(745\) | 157.792 | − | 273.303i | 0.211801 | − | 0.366850i | ||||
\(746\) | −1068.62 | − | 164.525i | −1.43247 | − | 0.220543i | ||||
\(747\) | −324.474 | + | 187.335i | −0.434370 | + | 0.250783i | ||||
\(748\) | −495.089 | − | 540.392i | −0.661884 | − | 0.722449i | ||||
\(749\) | 93.3944 | − | 8.88974i | 0.124692 | − | 0.0118688i | ||||
\(750\) | −1.23969 | + | 0.482028i | −0.00165293 | + | 0.000642703i | ||||
\(751\) | −902.833 | + | 521.251i | −1.20217 | + | 0.694076i | −0.961038 | − | 0.276415i | \(-0.910854\pi\) |
−0.241137 | + | 0.970491i | \(0.577520\pi\) | |||||||
\(752\) | −786.209 | + | 1122.40i | −1.04549 | + | 1.49255i | ||||
\(753\) | −8.15056 | + | 14.1172i | −0.0108241 | + | 0.0187479i | ||||
\(754\) | 1089.49 | − | 1357.35i | 1.44495 | − | 1.80020i | ||||
\(755\) | − | 131.438i | − | 0.174091i | ||||||
\(756\) | −29.3118 | − | 6.26667i | −0.0387722 | − | 0.00828925i | ||||
\(757\) | −1382.41 | −1.82617 | −0.913087 | − | 0.407765i | \(-0.866308\pi\) | ||||
−0.913087 | + | 0.407765i | \(0.866308\pi\) | |||||||
\(758\) | −1137.68 | − | 913.169i | −1.50090 | − | 1.20471i | ||||
\(759\) | 12.6102 | + | 7.28049i | 0.0166142 | + | 0.00959221i | ||||
\(760\) | −52.9915 | − | 79.3303i | −0.0697257 | − | 0.104382i | ||||
\(761\) | −9.48529 | − | 16.4290i | −0.0124642 | − | 0.0215887i | 0.859726 | − | 0.510756i | \(-0.170634\pi\) |
−0.872190 | + | 0.489167i | \(0.837301\pi\) | |||||||
\(762\) | 8.69364 | + | 22.3586i | 0.0114090 | + | 0.0293420i | ||||
\(763\) | −163.913 | + | 116.648i | −0.214828 | + | 0.152881i | ||||
\(764\) | 651.415 | + | 711.022i | 0.852637 | + | 0.930657i | ||||
\(765\) | 213.071 | + | 369.050i | 0.278524 | + | 0.482418i | ||||
\(766\) | 183.234 | − | 1190.14i | 0.239209 | − | 1.55371i | ||||
\(767\) | 75.8573 | + | 43.7962i | 0.0989013 | + | 0.0571007i | ||||
\(768\) | −14.3115 | + | 5.20319i | −0.0186347 | + | 0.00677499i | ||||
\(769\) | 725.829 | 0.943861 | 0.471931 | − | 0.881636i | \(-0.343557\pi\) | ||||
0.471931 | + | 0.881636i | \(0.343557\pi\) | |||||||
\(770\) | 121.597 | + | 241.929i | 0.157918 | + | 0.314193i | ||||
\(771\) | − | 6.66568i | − | 0.00864550i | ||||||
\(772\) | −769.683 | − | 242.755i | −0.996999 | − | 0.314450i | ||||
\(773\) | 142.576 | − | 246.948i | 0.184444 | − | 0.319467i | −0.758945 | − | 0.651155i | \(-0.774285\pi\) |
0.943389 | + | 0.331688i | \(0.107618\pi\) | |||||||
\(774\) | −114.114 | + | 741.191i | −0.147434 | + | 0.957612i | ||||
\(775\) | −193.777 | + | 111.877i | −0.250034 | + | 0.144357i | ||||
\(776\) | 869.339 | + | 428.855i | 1.12028 | + | 0.552648i | ||||
\(777\) | 3.15912 | − | 6.91199i | 0.00406579 | − | 0.00889575i | ||||
\(778\) | −424.439 | − | 1091.59i | −0.545551 | − | 1.40307i | ||||
\(779\) | 61.8158 | − | 35.6894i | 0.0793528 | − | 0.0458143i | ||||
\(780\) | 10.2058 | − | 2.26162i | 0.0130844 | − | 0.00289951i | ||||
\(781\) | −389.939 | + | 675.395i | −0.499282 | + | 0.864782i | ||||
\(782\) | 935.074 | + | 750.545i | 1.19575 | + | 0.959776i | ||||
\(783\) | 47.4164i | 0.0605573i | ||||||||
\(784\) | −715.463 | − | 320.575i | −0.912581 | − | 0.408897i | ||||
\(785\) | −87.8846 | −0.111955 | ||||||||
\(786\) | −8.43718 | + | 10.5116i | −0.0107343 | + | 0.0133735i | ||||
\(787\) | 947.357 | + | 546.957i | 1.20376 | + | 0.694989i | 0.961388 | − | 0.275195i | \(-0.0887424\pi\) |
0.242368 | + | 0.970184i | \(0.422076\pi\) | |||||||
\(788\) | 43.1362 | + | 194.657i | 0.0547414 | + | 0.247026i | ||||
\(789\) | −2.06949 | − | 3.58446i | −0.00262293 | − | 0.00454304i | ||||
\(790\) | 87.4196 | − | 33.9912i | 0.110658 | − | 0.0430268i | ||||
\(791\) | −945.159 | − | 431.983i | −1.19489 | − | 0.546123i | ||||
\(792\) | −275.404 | + | 558.275i | −0.347732 | + | 0.704893i | ||||
\(793\) | −237.391 | − | 411.173i | −0.299358 | − | 0.518503i | ||||
\(794\) | 172.606 | + | 26.5744i | 0.217387 | + | 0.0334690i | ||||
\(795\) | −6.51214 | − | 3.75979i | −0.00819138 | − | 0.00472929i | ||||
\(796\) | 339.911 | − | 1077.73i | 0.427024 | − | 1.35393i | ||||
\(797\) | −570.909 | −0.716322 | −0.358161 | − | 0.933660i | \(-0.616596\pi\) | ||||
−0.358161 | + | 0.933660i | \(0.616596\pi\) | |||||||
\(798\) | −3.96826 | + | 1.99450i | −0.00497276 | + | 0.00249938i | ||||
\(799\) | − | 1814.32i | − | 2.27074i | ||||||
\(800\) | −115.554 | − | 110.668i | −0.144442 | − | 0.138335i | ||||
\(801\) | 334.585 | − | 579.519i | 0.417710 | − | 0.723494i | ||||
\(802\) | −16.3008 | − | 2.50967i | −0.0203252 | − | 0.00312927i | ||||
\(803\) | 262.306 | − | 151.442i | 0.326658 | − | 0.188596i | ||||
\(804\) | 17.7907 | − | 16.2992i | 0.0221277 | − | 0.0202727i | ||||
\(805\) | −256.846 | − | 360.920i | −0.319064 | − | 0.448348i | ||||
\(806\) | 1638.96 | − | 637.271i | 2.03344 | − | 0.790659i | ||||
\(807\) | 0.461564 | − | 0.266484i | 0.000571951 | − | 0.000330216i | ||||
\(808\) | 738.827 | − | 493.526i | 0.914390 | − | 0.610800i | ||||
\(809\) | −73.4650 | + | 127.245i | −0.0908096 | + | 0.157287i | −0.907852 | − | 0.419291i | \(-0.862279\pi\) |
0.817042 | + | 0.576578i | \(0.195612\pi\) | |||||||
\(810\) | 226.482 | − | 282.164i | 0.279607 | − | 0.348351i | ||||
\(811\) | − | 1200.42i | − | 1.48017i | −0.672511 | − | 0.740087i | \(-0.734784\pi\) | ||
0.672511 | − | 0.740087i | \(-0.265216\pi\) | |||||||
\(812\) | −259.290 | + | 1212.81i | −0.319323 | + | 1.49360i | ||||
\(813\) | −0.526400 | −0.000647478 | ||||||||
\(814\) | −246.221 | − | 197.632i | −0.302483 | − | 0.242791i | ||||
\(815\) | 41.4333 | + | 23.9215i | 0.0508384 | + | 0.0293516i | ||||
\(816\) | 11.5670 | − | 16.5132i | 0.0141753 | − | 0.0202368i | ||||
\(817\) | 111.139 | + | 192.498i | 0.136033 | + | 0.235615i | ||||
\(818\) | −201.664 | − | 518.646i | −0.246533 | − | 0.634042i | ||||
\(819\) | 117.243 | + | 1231.74i | 0.143154 | + | 1.50396i | ||||
\(820\) | 88.2675 | − | 80.8679i | 0.107643 | − | 0.0986193i | ||||
\(821\) | −166.882 | − | 289.047i | −0.203266 | − | 0.352067i | 0.746313 | − | 0.665595i | \(-0.231822\pi\) |
−0.949579 | + | 0.313528i | \(0.898489\pi\) | |||||||
\(822\) | 2.14561 | − | 13.9361i | 0.00261023 | − | 0.0169539i | ||||
\(823\) | 441.537 | + | 254.921i | 0.536497 | + | 0.309747i | 0.743658 | − | 0.668560i | \(-0.233089\pi\) |
−0.207161 | + | 0.978307i | \(0.566422\pi\) | |||||||
\(824\) | −81.0714 | + | 5.30284i | −0.0983876 | + | 0.00643549i | ||||
\(825\) | 2.57251 | 0.00311819 | ||||||||
\(826\) | −62.3101 | − | 3.60940i | −0.0754359 | − | 0.00436974i | ||||
\(827\) | 730.230i | 0.882986i | 0.897265 | + | 0.441493i | \(0.145551\pi\) | ||||
−0.897265 | + | 0.441493i | \(0.854449\pi\) | |||||||
\(828\) | 306.337 | − | 971.276i | 0.369972 | − | 1.17304i | ||||
\(829\) | 187.419 | − | 324.620i | 0.226079 | − | 0.391580i | −0.730564 | − | 0.682844i | \(-0.760743\pi\) |
0.956643 | + | 0.291265i | \(0.0940760\pi\) | |||||||
\(830\) | −28.3409 | + | 184.080i | −0.0341457 | + | 0.221783i | ||||
\(831\) | 15.4899 | − | 8.94308i | 0.0186400 | − | 0.0107618i | ||||
\(832\) | 765.218 | + | 997.803i | 0.919733 | + | 1.19928i | ||||
\(833\) | 1019.35 | − | 195.828i | 1.22371 | − | 0.235088i | ||||
\(834\) | −3.76113 | − | 9.67300i | −0.00450975 | − | 0.0115983i | ||||
\(835\) | 552.676 | − | 319.088i | 0.661888 | − | 0.382141i | ||||
\(836\) | 39.9196 | + | 180.142i | 0.0477507 | + | 0.215480i | ||||
\(837\) | −23.9530 | + | 41.4879i | −0.0286177 | + | 0.0495674i | ||||
\(838\) | −305.480 | − | 245.196i | −0.364535 | − | 0.292597i | ||||
\(839\) | − | 105.756i | − | 0.126049i | −0.998012 | − | 0.0630247i | \(-0.979925\pi\) | ||
0.998012 | − | 0.0630247i | \(-0.0200747\pi\) | |||||||
\(840\) | −5.77394 | + | 4.70570i | −0.00687373 | + | 0.00560202i | ||||
\(841\) | 1120.90 | 1.33282 | ||||||||
\(842\) | −499.425 | + | 622.214i | −0.593141 | + | 0.738971i | ||||
\(843\) | −1.22164 | − | 0.705312i | −0.00144915 | − | 0.000836669i | ||||
\(844\) | −1008.24 | + | 223.427i | −1.19460 | + | 0.264724i | ||||
\(845\) | −242.644 | − | 420.272i | −0.287153 | − | 0.497364i | ||||
\(846\) | −1436.30 | + | 558.473i | −1.69776 | + | 0.660134i | ||||
\(847\) | 30.6366 | + | 321.864i | 0.0361707 | + | 0.380005i | ||||
\(848\) | 78.9957 | − | 901.079i | 0.0931553 | − | 1.06259i | ||||
\(849\) | 4.87697 | + | 8.44717i | 0.00574437 | + | 0.00994955i | ||||
\(850\) | 209.368 | + | 32.2344i | 0.246316 | + | 0.0379228i | ||||
\(851\) | 447.333 | + | 258.268i | 0.525655 | + | 0.303487i | ||||
\(852\) | −20.4603 | − | 6.45312i | −0.0240145 | − | 0.00757408i | ||||
\(853\) | 1666.46 | 1.95365 | 0.976824 | − | 0.214042i | \(-0.0686630\pi\) | ||||
0.976824 | + | 0.214042i | \(0.0686630\pi\) | |||||||
\(854\) | 282.711 | + | 185.814i | 0.331044 | + | 0.217581i | ||||
\(855\) | − | 107.284i | − | 0.125479i | ||||||
\(856\) | 106.990 | − | 6.99818i | 0.124989 | − | 0.00817545i | ||||
\(857\) | −511.584 | + | 886.090i | −0.596948 | + | 1.03394i | 0.396321 | + | 0.918112i | \(0.370287\pi\) |
−0.993269 | + | 0.115832i | \(0.963047\pi\) | |||||||
\(858\) | −19.9820 | − | 3.07644i | −0.0232891 | − | 0.00358559i | ||||
\(859\) | −1111.45 | + | 641.699i | −1.29389 | + | 0.747030i | −0.979342 | − | 0.202210i | \(-0.935188\pi\) |
−0.314552 | + | 0.949240i | \(0.601854\pi\) | |||||||
\(860\) | 251.827 | + | 274.870i | 0.292822 | + | 0.319616i | ||||
\(861\) | −3.23130 | − | 4.54062i | −0.00375296 | − | 0.00527366i | ||||
\(862\) | −314.147 | + | 122.149i | −0.364439 | + | 0.141704i | ||||
\(863\) | 1011.61 | − | 584.051i | 1.17220 | − | 0.676768i | 0.218001 | − | 0.975949i | \(-0.430047\pi\) |
0.954197 | + | 0.299180i | \(0.0967132\pi\) | |||||||
\(864\) | −33.2727 | − | 8.14962i | −0.0385101 | − | 0.00943244i | ||||
\(865\) | 258.724 | − | 448.123i | 0.299103 | − | 0.518061i | ||||
\(866\) | −483.520 | + | 602.398i | −0.558337 | + | 0.695610i | ||||
\(867\) | 9.50209i | 0.0109597i | ||||||||
\(868\) | −839.537 | + | 930.184i | −0.967208 | + | 1.07164i | ||||
\(869\) | −181.406 | −0.208752 | ||||||||
\(870\) | 9.18906 | + | 7.37567i | 0.0105621 | + | 0.00847778i | ||||
\(871\) | −1725.45 | − | 996.190i | −1.98100 | − | 1.14373i | ||||
\(872\) | −191.191 | + | 127.713i | −0.219255 | + | 0.146460i | ||||
\(873\) | 545.053 | + | 944.059i | 0.624344 | + | 1.08140i | ||||
\(874\) | −109.395 | − | 281.345i | −0.125166 | − | 0.321905i | ||||
\(875\) | −71.1802 | − | 32.5328i | −0.0813488 | − | 0.0371803i | ||||
\(876\) | 5.62856 | + | 6.14359i | 0.00642529 | + | 0.00701323i | ||||
\(877\) | −422.079 | − | 731.062i | −0.481276 | − | 0.833595i | 0.518493 | − | 0.855082i | \(-0.326493\pi\) |
−0.999769 | + | 0.0214873i | \(0.993160\pi\) | |||||||
\(878\) | −243.787 | + | 1583.44i | −0.277661 | + | 1.80346i | ||||
\(879\) | −11.1678 | − | 6.44772i | −0.0127051 | − | 0.00733529i | ||||
\(880\) | 130.729 | + | 280.480i | 0.148556 | + | 0.318727i | ||||
\(881\) | 112.124 | 0.127269 | 0.0636343 | − | 0.997973i | \(-0.479731\pi\) | ||||
0.0636343 | + | 0.997973i | \(0.479731\pi\) | |||||||
\(882\) | −468.797 | − | 746.687i | −0.531516 | − | 0.846584i | ||||
\(883\) | 449.316i | 0.508852i | 0.967092 | + | 0.254426i | \(0.0818865\pi\) | ||||
−0.967092 | + | 0.254426i | \(0.918114\pi\) | |||||||
\(884\) | −1587.72 | − | 500.762i | −1.79607 | − | 0.566473i | ||||
\(885\) | −0.296494 | + | 0.513542i | −0.000335021 | + | 0.000580273i | ||||
\(886\) | −11.9858 | + | 77.8502i | −0.0135280 | + | 0.0878670i | ||||
\(887\) | 1218.98 | − | 703.780i | 1.37428 | − | 0.793438i | 0.382812 | − | 0.923826i | \(-0.374956\pi\) |
0.991463 | + | 0.130388i | \(0.0416224\pi\) | |||||||
\(888\) | 3.84249 | − | 7.78918i | 0.00432713 | − | 0.00877160i | ||||
\(889\) | −586.747 | + | 1283.77i | −0.660008 | + | 1.44407i | ||||
\(890\) | −120.549 | − | 310.033i | −0.135449 | − | 0.348351i | ||||
\(891\) | −606.021 | + | 349.886i | −0.680158 | + | 0.392690i | ||||
\(892\) | 766.055 | − | 169.759i | 0.858806 | − | 0.190313i | ||||
\(893\) | −228.384 | + | 395.573i | −0.255749 | + | 0.442971i | ||||
\(894\) | −13.0941 | − | 10.5101i | −0.0146467 | − | 0.0117563i | ||||
\(895\) | 59.7166i | 0.0667224i | ||||||||
\(896\) | −806.478 | − | 390.397i | −0.900087 | − | 0.435711i | ||||
\(897\) | 33.0762 | 0.0368742 | ||||||||
\(898\) | 34.0164 | − | 42.3797i | 0.0378802 | − | 0.0471935i | ||||
\(899\) | 1716.60 | + | 991.081i | 1.90946 | + | 1.10243i | ||||
\(900\) | −38.9282 | − | 175.668i | −0.0432535 | − | 0.195186i | ||||
\(901\) | 598.789 | + | 1037.13i | 0.664582 | + | 1.15109i | ||||
\(902\) | −215.790 | + | 83.9051i | −0.239235 | + | 0.0930212i | ||||
\(903\) | 14.1397 | − | 10.0624i | 0.0156586 | − | 0.0111434i | ||||
\(904\) | −1065.11 | − | 525.429i | −1.17821 | − | 0.581227i | ||||
\(905\) | −219.753 | − | 380.623i | −0.242821 | − | 0.420578i | ||||
\(906\) | −6.91167 | − | 1.06412i | −0.00762877 | − | 0.00117453i | ||||
\(907\) | 96.1683 | + | 55.5228i | 0.106029 | + | 0.0612159i | 0.552077 | − | 0.833793i | \(-0.313836\pi\) |
−0.446048 | + | 0.895009i | \(0.647169\pi\) | |||||||
\(908\) | −28.5211 | + | 90.4294i | −0.0314109 | + | 0.0995919i | ||||
\(909\) | 999.171 | 1.09920 | ||||||||
\(910\) | 513.987 | + | 337.822i | 0.564821 | + | 0.371233i | ||||
\(911\) | 1351.18i | 1.48318i | 0.670852 | + | 0.741591i | \(0.265929\pi\) | ||||
−0.670852 | + | 0.741591i | \(0.734071\pi\) | |||||||
\(912\) | −4.60059 | + | 2.14430i | −0.00504451 | + | 0.00235120i | ||||
\(913\) | 180.108 | − | 311.956i | 0.197270 | − | 0.341682i | ||||
\(914\) | 1419.66 | + | 218.570i | 1.55323 | + | 0.239136i | ||||
\(915\) | 2.78358 | − | 1.60710i | 0.00304216 | − | 0.00175639i | ||||
\(916\) | 204.781 | − | 187.613i | 0.223560 | − | 0.204818i | ||||
\(917\) | −789.512 | + | 75.1496i | −0.860973 | + | 0.0819516i | ||||
\(918\) | 42.2712 | − | 16.4362i | 0.0460471 | − | 0.0179044i | ||||
\(919\) | −849.000 | + | 490.170i | −0.923830 | + | 0.533373i | −0.884855 | − | 0.465867i | \(-0.845743\pi\) |
−0.0389750 | + | 0.999240i | \(0.512409\pi\) | |||||||
\(920\) | −281.210 | − | 420.982i | −0.305663 | − | 0.457589i | ||||
\(921\) | 2.11686 | − | 3.66652i | 0.00229844 | − | 0.00398102i | ||||
\(922\) | −461.096 | + | 574.462i | −0.500104 | + | 0.623060i | ||||
\(923\) | 1771.54i | 1.91933i | ||||||||
\(924\) | 13.7062 | − | 4.43551i | 0.0148336 | − | 0.00480033i | ||||
\(925\) | 91.2571 | 0.0986563 | ||||||||
\(926\) | 1103.42 | + | 885.669i | 1.19160 | + | 0.956446i | ||||
\(927\) | −79.1238 | − | 45.6821i | −0.0853547 | − | 0.0492796i | ||||
\(928\) | −337.199 | + | 1376.69i | −0.363361 | + | 1.48350i | ||||
\(929\) | −241.025 | − | 417.468i | −0.259446 | − | 0.449374i | 0.706648 | − | 0.707566i | \(-0.250207\pi\) |
−0.966094 | + | 0.258192i | \(0.916873\pi\) | |||||||
\(930\) | 4.31422 | + | 11.0955i | 0.00463895 | + | 0.0119306i | ||||
\(931\) | −246.898 | − | 85.6185i | −0.265196 | − | 0.0919640i | ||||
\(932\) | 279.989 | − | 256.517i | 0.300417 | − | 0.275233i | ||||
\(933\) | −1.00313 | − | 1.73747i | −0.00107517 | − | 0.00186224i | ||||
\(934\) | −114.062 | + | 740.852i | −0.122122 | + | 0.793204i | ||||
\(935\) | −354.812 | − | 204.851i | −0.379478 | − | 0.219092i | ||||
\(936\) | 92.2964 | + | 1411.05i | 0.0986073 | + | 1.50754i | ||||
\(937\) | 255.531 | 0.272712 | 0.136356 | − | 0.990660i | \(-0.456461\pi\) | ||||
0.136356 | + | 0.990660i | \(0.456461\pi\) | |||||||
\(938\) | 1417.31 | + | 82.0995i | 1.51099 | + | 0.0875261i | ||||
\(939\) | 4.72500i | 0.00503195i | ||||||||
\(940\) | −230.423 | + | 730.582i | −0.245131 | + | 0.777215i | ||||
\(941\) | 807.943 | − | 1399.40i | 0.858601 | − | 1.48714i | −0.0146633 | − | 0.999892i | \(-0.504668\pi\) |
0.873264 | − | 0.487247i | \(-0.161999\pi\) | |||||||
\(942\) | −0.711512 | + | 4.62140i | −0.000755320 | + | 0.00490594i | ||||
\(943\) | 328.038 | − | 189.393i | 0.347866 | − | 0.200841i | ||||
\(944\) | −71.0583 | − | 6.22953i | −0.0752737 | − | 0.00659908i | ||||
\(945\) | −16.6807 | + | 1.58775i | −0.0176515 | + | 0.00168016i | ||||
\(946\) | −261.285 | − | 671.982i | −0.276200 | − | 0.710340i | ||||
\(947\) | 233.912 | − | 135.049i | 0.247003 | − | 0.142607i | −0.371388 | − | 0.928478i | \(-0.621118\pi\) |
0.618391 | + | 0.785870i | \(0.287785\pi\) | |||||||
\(948\) | −1.07967 | − | 4.87214i | −0.00113890 | − | 0.00513939i | ||||
\(949\) | 344.011 | − | 595.844i | 0.362498 | − | 0.627866i | ||||
\(950\) | −41.5905 | − | 33.3829i | −0.0437795 | − | 0.0351399i | ||||
\(951\) | − | 19.1191i | − | 0.0201042i | ||||||
\(952\) | 1171.08 | − | 189.248i | 1.23013 | − | 0.198790i | ||||
\(953\) | 208.032 | 0.218292 | 0.109146 | − | 0.994026i | \(-0.465188\pi\) | ||||
0.109146 | + | 0.994026i | \(0.465188\pi\) | |||||||
\(954\) | 636.726 | − | 793.272i | 0.667428 | − | 0.831522i | ||||
\(955\) | 466.844 | + | 269.533i | 0.488842 | + | 0.282233i | ||||
\(956\) | −83.3037 | + | 18.4602i | −0.0871377 | + | 0.0193098i | ||||
\(957\) | −11.3945 | − | 19.7359i | −0.0119065 | − | 0.0206226i | ||||
\(958\) | 923.412 | − | 359.048i | 0.963896 | − | 0.374789i | ||||
\(959\) | 675.958 | − | 481.041i | 0.704857 | − | 0.501607i | ||||
\(960\) | −6.75497 | + | 5.18041i | −0.00703642 | + | 0.00539626i | ||||
\(961\) | 520.817 | + | 902.081i | 0.541953 | + | 0.938690i | ||||
\(962\) | −708.841 | − | 109.133i | −0.736841 | − | 0.113444i | ||||
\(963\) | 104.420 | + | 60.2869i | 0.108432 | + | 0.0626032i | ||||
\(964\) | 513.237 | + | 161.873i | 0.532404 | + | 0.167918i | ||||
\(965\) | −451.159 | −0.467522 | ||||||||
\(966\) | −21.0583 | + | 10.5842i | −0.0217995 | + | 0.0109568i | ||||
\(967\) | − | 251.957i | − | 0.260555i | −0.991478 | − | 0.130278i | \(-0.958413\pi\) | ||
0.991478 | − | 0.130278i | \(-0.0415869\pi\) | |||||||
\(968\) | 24.1177 | + | 368.719i | 0.0249150 | + | 0.380908i | ||||
\(969\) | 3.36008 | − | 5.81983i | 0.00346758 | − | 0.00600602i | ||||
\(970\) | 535.580 | + | 82.4581i | 0.552145 | + | 0.0850083i | ||||
\(971\) | 1308.91 | − | 755.700i | 1.34800 | − | 0.778270i | 0.360036 | − | 0.932938i | \(-0.382764\pi\) |
0.987966 | + | 0.154669i | \(0.0494310\pi\) | |||||||
\(972\) | −39.0375 | − | 42.6096i | −0.0401621 | − | 0.0438370i | ||||
\(973\) | 253.844 | − | 555.400i | 0.260888 | − | 0.570812i | ||||
\(974\) | −1503.09 | + | 584.442i | −1.54321 | + | 0.600043i | ||||
\(975\) | 5.06072 | − | 2.92181i | 0.00519048 | − | 0.00299673i | ||||
\(976\) | 316.676 | + | 221.823i | 0.324463 | + | 0.227278i | ||||
\(977\) | 17.9175 | − | 31.0341i | 0.0183393 | − | 0.0317647i | −0.856710 | − | 0.515798i | \(-0.827495\pi\) |
0.875049 | + | 0.484034i | \(0.160829\pi\) | |||||||
\(978\) | 1.59335 | − | 1.98510i | 0.00162920 | − | 0.00202975i | ||||
\(979\) | 643.353i | 0.657154i | ||||||||
\(980\) | −435.338 | − | 50.6050i | −0.444222 | − | 0.0516377i | ||||
\(981\) | −258.561 | −0.263569 | ||||||||
\(982\) | 865.194 | + | 694.455i | 0.881053 | + | 0.707184i | ||||
\(983\) | −325.664 | − | 188.022i | −0.331296 | − | 0.191274i | 0.325120 | − | 0.945673i | \(-0.394595\pi\) |
−0.656416 | + | 0.754399i | \(0.727928\pi\) | |||||||
\(984\) | −3.53781 | − | 5.29624i | −0.00359534 | − | 0.00538236i | ||||
\(985\) | 55.7282 | + | 96.5240i | 0.0565768 | + | 0.0979939i | ||||
\(986\) | −680.065 | − | 1749.01i | −0.689721 | − | 1.77385i | ||||
\(987\) | 32.4357 | + | 14.8247i | 0.0328629 | + | 0.0150199i | ||||
\(988\) | 283.132 | + | 309.040i | 0.286571 | + | 0.312794i | ||||
\(989\) | 589.779 | + | 1021.53i | 0.596339 | + | 1.03289i | ||||
\(990\) | −52.9532 | + | 343.941i | −0.0534881 | + | 0.347415i | ||||
\(991\) | 675.038 | + | 389.733i | 0.681169 | + | 0.393273i | 0.800295 | − | 0.599606i | \(-0.204676\pi\) |
−0.119127 | + | 0.992879i | \(0.538009\pi\) | |||||||
\(992\) | −990.494 | + | 1034.22i | −0.998482 | + | 1.04256i | ||||
\(993\) | 7.82554 | 0.00788070 | ||||||||
\(994\) | −566.886 | − | 1127.87i | −0.570308 | − | 1.13468i | ||||
\(995\) | − | 631.723i | − | 0.634897i | ||||||
\(996\) | 9.45034 | + | 2.98061i | 0.00948830 | + | 0.00299258i | ||||
\(997\) | 388.397 | − | 672.723i | 0.389566 | − | 0.674747i | −0.602826 | − | 0.797873i | \(-0.705959\pi\) |
0.992391 | + | 0.123126i | \(0.0392918\pi\) | |||||||
\(998\) | 151.417 | − | 983.481i | 0.151720 | − | 0.985452i | ||||
\(999\) | 16.9207 | − | 9.76914i | 0.0169376 | − | 0.00977892i |
(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 | 140.3.t.a.11.23 | yes | 64 | |
4.3 | odd | 2 | inner | 140.3.t.a.11.2 | ✓ | 64 | |
7.2 | even | 3 | inner | 140.3.t.a.51.2 | yes | 64 | |
28.23 | odd | 6 | inner | 140.3.t.a.51.23 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
140.3.t.a.11.2 | ✓ | 64 | 4.3 | odd | 2 | inner | |
140.3.t.a.11.23 | yes | 64 | 1.1 | even | 1 | trivial | |
140.3.t.a.51.2 | yes | 64 | 7.2 | even | 3 | inner | |
140.3.t.a.51.23 | yes | 64 | 28.23 | odd | 6 | inner |