Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,3,Mod(3,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.3");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.h (of order \(42\), degree \(12\), 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: | \(1.17166513675\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 18.1 | ||
Character | \(\chi\) | \(=\) | 43.18 |
Dual form | 43.3.h.a.12.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{29}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.28258 | + | 2.66331i | −0.641292 | + | 1.33166i | 0.286328 | + | 0.958132i | \(0.407565\pi\) |
−0.927620 | + | 0.373525i | \(0.878149\pi\) | |||||||
\(3\) | −1.59066 | + | 2.33308i | −0.530221 | + | 0.777692i | −0.994130 | − | 0.108191i | \(-0.965494\pi\) |
0.463909 | + | 0.885883i | \(0.346447\pi\) | |||||||
\(4\) | −2.95426 | − | 3.70453i | −0.738565 | − | 0.926132i | ||||
\(5\) | −1.17011 | − | 1.26107i | −0.234021 | − | 0.252215i | 0.605113 | − | 0.796140i | \(-0.293128\pi\) |
−0.839134 | + | 0.543925i | \(0.816938\pi\) | |||||||
\(6\) | −4.17355 | − | 7.22881i | −0.695592 | − | 1.20480i | ||||
\(7\) | 1.73703 | + | 1.00288i | 0.248147 | + | 0.143268i | 0.618916 | − | 0.785457i | \(-0.287572\pi\) |
−0.370768 | + | 0.928725i | \(0.620906\pi\) | |||||||
\(8\) | 2.12764 | − | 0.485621i | 0.265956 | − | 0.0607026i | ||||
\(9\) | 0.375040 | + | 0.955585i | 0.0416711 | + | 0.106176i | ||||
\(10\) | 4.85940 | − | 1.49893i | 0.485940 | − | 0.149893i | ||||
\(11\) | −8.89454 | + | 11.1534i | −0.808594 | + | 1.01395i | 0.190883 | + | 0.981613i | \(0.438865\pi\) |
−0.999477 | + | 0.0323325i | \(0.989706\pi\) | |||||||
\(12\) | 13.3422 | − | 0.999858i | 1.11185 | − | 0.0833215i | ||||
\(13\) | 17.3266 | + | 5.34455i | 1.33282 | + | 0.411119i | 0.877656 | − | 0.479290i | \(-0.159106\pi\) |
0.455160 | + | 0.890410i | \(0.349582\pi\) | |||||||
\(14\) | −4.89886 | + | 3.33999i | −0.349919 | + | 0.238571i | ||||
\(15\) | 4.80343 | − | 0.724000i | 0.320228 | − | 0.0482667i | ||||
\(16\) | 2.78193 | − | 12.1884i | 0.173871 | − | 0.761778i | ||||
\(17\) | 9.71988 | + | 9.01873i | 0.571757 | + | 0.530513i | 0.912196 | − | 0.409753i | \(-0.134385\pi\) |
−0.340439 | + | 0.940267i | \(0.610576\pi\) | |||||||
\(18\) | −3.02604 | − | 0.226771i | −0.168114 | − | 0.0125984i | ||||
\(19\) | −7.73572 | − | 3.03605i | −0.407143 | − | 0.159792i | 0.152926 | − | 0.988238i | \(-0.451130\pi\) |
−0.560069 | + | 0.828446i | \(0.689226\pi\) | |||||||
\(20\) | −1.21488 | + | 8.06023i | −0.0607442 | + | 0.403011i | ||||
\(21\) | −5.10282 | + | 2.45739i | −0.242991 | + | 0.117018i | ||||
\(22\) | −18.2970 | − | 37.9941i | −0.831682 | − | 1.72701i | ||||
\(23\) | 30.5120 | + | 4.59895i | 1.32661 | + | 0.199954i | 0.773841 | − | 0.633380i | \(-0.218333\pi\) |
0.552769 | + | 0.833334i | \(0.313571\pi\) | |||||||
\(24\) | −2.25138 | + | 5.73642i | −0.0938074 | + | 0.239017i | ||||
\(25\) | 1.64709 | − | 21.9789i | 0.0658837 | − | 0.879157i | ||||
\(26\) | −36.4571 | + | 39.2914i | −1.40219 | + | 1.51121i | ||||
\(27\) | −27.6024 | − | 6.30007i | −1.02231 | − | 0.233336i | ||||
\(28\) | −1.41647 | − | 9.39763i | −0.0505881 | − | 0.335630i | ||||
\(29\) | −17.7571 | − | 26.0449i | −0.612314 | − | 0.898100i | 0.387402 | − | 0.921911i | \(-0.373372\pi\) |
−0.999716 | + | 0.0238107i | \(0.992420\pi\) | |||||||
\(30\) | −4.23256 | + | 13.7216i | −0.141085 | + | 0.457387i | ||||
\(31\) | 2.54197 | + | 33.9202i | 0.0819990 | + | 1.09420i | 0.874724 | + | 0.484621i | \(0.161043\pi\) |
−0.792725 | + | 0.609579i | \(0.791338\pi\) | |||||||
\(32\) | 35.7185 | + | 28.4846i | 1.11620 | + | 0.890143i | ||||
\(33\) | −11.8735 | − | 38.4929i | −0.359803 | − | 1.16645i | ||||
\(34\) | −36.4863 | + | 14.3198i | −1.07313 | + | 0.421171i | ||||
\(35\) | −0.767810 | − | 3.36399i | −0.0219374 | − | 0.0961141i | ||||
\(36\) | 2.43203 | − | 4.21239i | 0.0675563 | − | 0.117011i | ||||
\(37\) | 37.2074 | − | 21.4817i | 1.00560 | − | 0.580586i | 0.0957027 | − | 0.995410i | \(-0.469490\pi\) |
0.909902 | + | 0.414824i | \(0.136157\pi\) | |||||||
\(38\) | 18.0077 | − | 16.7087i | 0.473886 | − | 0.439702i | ||||
\(39\) | −40.0301 | + | 31.9229i | −1.02641 | + | 0.818536i | ||||
\(40\) | −3.10197 | − | 2.11489i | −0.0775493 | − | 0.0528722i | ||||
\(41\) | 25.9778 | + | 12.5103i | 0.633606 | + | 0.305129i | 0.722979 | − | 0.690870i | \(-0.242772\pi\) |
−0.0893734 | + | 0.995998i | \(0.528486\pi\) | |||||||
\(42\) | − | 16.7422i | − | 0.398624i | ||||||
\(43\) | 41.4963 | + | 11.2720i | 0.965030 | + | 0.262139i | ||||
\(44\) | 67.5949 | 1.53625 | ||||||||
\(45\) | 0.766228 | − | 1.59109i | 0.0170273 | − | 0.0353575i | ||||
\(46\) | −51.3827 | + | 75.3646i | −1.11702 | + | 1.63836i | ||||
\(47\) | −8.56502 | − | 10.7402i | −0.182235 | − | 0.228515i | 0.682320 | − | 0.731053i | \(-0.260971\pi\) |
−0.864555 | + | 0.502538i | \(0.832400\pi\) | |||||||
\(48\) | 24.0114 | + | 25.8782i | 0.500238 | + | 0.539129i | ||||
\(49\) | −22.4885 | − | 38.9512i | −0.458949 | − | 0.794922i | ||||
\(50\) | 56.4242 | + | 32.5765i | 1.12848 | + | 0.651531i | ||||
\(51\) | −36.5024 | + | 8.33144i | −0.715734 | + | 0.163362i | ||||
\(52\) | −31.3883 | − | 79.9761i | −0.603621 | − | 1.53800i | ||||
\(53\) | −38.2946 | + | 11.8123i | −0.722540 | + | 0.222874i | −0.634148 | − | 0.773212i | \(-0.718649\pi\) |
−0.0883921 | + | 0.996086i | \(0.528173\pi\) | |||||||
\(54\) | 52.1815 | − | 65.4335i | 0.966324 | − | 1.21173i | ||||
\(55\) | 24.4728 | − | 1.83398i | 0.444960 | − | 0.0333452i | ||||
\(56\) | 4.18280 | + | 1.29022i | 0.0746929 | + | 0.0230397i | ||||
\(57\) | 19.3883 | − | 13.2187i | 0.340145 | − | 0.231907i | ||||
\(58\) | 92.1408 | − | 13.8880i | 1.58863 | − | 0.239448i | ||||
\(59\) | 9.58368 | − | 41.9889i | 0.162435 | − | 0.711675i | −0.826452 | − | 0.563007i | \(-0.809644\pi\) |
0.988887 | − | 0.148668i | \(-0.0474986\pi\) | |||||||
\(60\) | −16.8727 | − | 15.6555i | −0.281211 | − | 0.260926i | ||||
\(61\) | −35.6571 | − | 2.67213i | −0.584543 | − | 0.0438055i | −0.220823 | − | 0.975314i | \(-0.570874\pi\) |
−0.363720 | + | 0.931508i | \(0.618493\pi\) | |||||||
\(62\) | −93.6005 | − | 36.7355i | −1.50969 | − | 0.592508i | ||||
\(63\) | −0.306878 | + | 2.03600i | −0.00487107 | + | 0.0323175i | ||||
\(64\) | −76.6202 | + | 36.8984i | −1.19719 | + | 0.576537i | ||||
\(65\) | −13.5341 | − | 28.1038i | −0.208217 | − | 0.432366i | ||||
\(66\) | 117.748 | + | 17.7476i | 1.78405 | + | 0.268903i | ||||
\(67\) | −38.6932 | + | 98.5886i | −0.577510 | + | 1.47147i | 0.281524 | + | 0.959554i | \(0.409160\pi\) |
−0.859034 | + | 0.511918i | \(0.828935\pi\) | |||||||
\(68\) | 4.69506 | − | 62.6512i | 0.0690450 | − | 0.921341i | ||||
\(69\) | −59.2641 | + | 63.8715i | −0.858900 | + | 0.925674i | ||||
\(70\) | 9.94416 | + | 2.26969i | 0.142059 | + | 0.0324241i | ||||
\(71\) | 5.35301 | + | 35.5149i | 0.0753945 | + | 0.500210i | 0.994376 | + | 0.105909i | \(0.0337751\pi\) |
−0.918981 | + | 0.394301i | \(0.870987\pi\) | |||||||
\(72\) | 1.26200 | + | 1.85102i | 0.0175278 | + | 0.0257086i | ||||
\(73\) | −23.8925 | + | 77.4576i | −0.327295 | + | 1.06106i | 0.631120 | + | 0.775685i | \(0.282595\pi\) |
−0.958415 | + | 0.285378i | \(0.907881\pi\) | |||||||
\(74\) | 9.49088 | + | 126.647i | 0.128255 | + | 1.71145i | ||||
\(75\) | 48.6585 | + | 38.8039i | 0.648780 | + | 0.517385i | ||||
\(76\) | 11.6062 | + | 37.6265i | 0.152713 | + | 0.495085i | ||||
\(77\) | −26.6356 | + | 10.4537i | −0.345916 | + | 0.135762i | ||||
\(78\) | −33.6788 | − | 147.556i | −0.431779 | − | 1.89175i | ||||
\(79\) | 35.0556 | − | 60.7180i | 0.443741 | − | 0.768583i | −0.554222 | − | 0.832369i | \(-0.686984\pi\) |
0.997964 | + | 0.0637862i | \(0.0203176\pi\) | |||||||
\(80\) | −18.6257 | + | 10.7535i | −0.232821 | + | 0.134419i | ||||
\(81\) | 51.8321 | − | 48.0932i | 0.639903 | − | 0.593743i | ||||
\(82\) | −66.6376 | + | 53.1417i | −0.812653 | + | 0.648069i | ||||
\(83\) | −100.736 | − | 68.6807i | −1.21369 | − | 0.827479i | −0.224549 | − | 0.974463i | \(-0.572091\pi\) |
−0.989139 | + | 0.146984i | \(0.953043\pi\) | |||||||
\(84\) | 24.1785 | + | 11.6438i | 0.287839 | + | 0.138616i | ||||
\(85\) | − | 22.8103i | − | 0.268357i | ||||||
\(86\) | −83.2434 | + | 96.0604i | −0.967946 | + | 1.11698i | ||||
\(87\) | 89.0103 | 1.02311 | ||||||||
\(88\) | −13.5081 | + | 28.0498i | −0.153501 | + | 0.318748i | ||||
\(89\) | 96.6160 | − | 141.710i | 1.08557 | − | 1.59224i | 0.321742 | − | 0.946827i | \(-0.395732\pi\) |
0.763831 | − | 0.645416i | \(-0.223316\pi\) | |||||||
\(90\) | 3.25482 | + | 4.08141i | 0.0361646 | + | 0.0453490i | ||||
\(91\) | 24.7369 | + | 26.6601i | 0.271835 | + | 0.292968i | ||||
\(92\) | −73.1036 | − | 126.619i | −0.794604 | − | 1.37629i | ||||
\(93\) | −83.1819 | − | 48.0251i | −0.894429 | − | 0.516399i | ||||
\(94\) | 39.5899 | − | 9.03614i | 0.421169 | − | 0.0961291i | ||||
\(95\) | 5.22293 | + | 13.3078i | 0.0549782 | + | 0.140082i | ||||
\(96\) | −123.273 | + | 38.0247i | −1.28409 | + | 0.396090i | ||||
\(97\) | 3.55988 | − | 4.46395i | 0.0366998 | − | 0.0460201i | −0.763143 | − | 0.646230i | \(-0.776345\pi\) |
0.799843 | + | 0.600210i | \(0.204916\pi\) | |||||||
\(98\) | 132.583 | − | 9.93570i | 1.35288 | − | 0.101385i | ||||
\(99\) | −13.9938 | − | 4.31652i | −0.141352 | − | 0.0436013i | ||||
\(100\) | −86.2874 | + | 58.8298i | −0.862874 | + | 0.588298i | ||||
\(101\) | −38.2512 | + | 5.76545i | −0.378725 | + | 0.0570836i | −0.335646 | − | 0.941988i | \(-0.608955\pi\) |
−0.0430787 | + | 0.999072i | \(0.513717\pi\) | |||||||
\(102\) | 24.6282 | − | 107.903i | 0.241453 | − | 1.05787i | ||||
\(103\) | −26.4169 | − | 24.5113i | −0.256475 | − | 0.237974i | 0.541447 | − | 0.840735i | \(-0.317877\pi\) |
−0.797922 | + | 0.602761i | \(0.794067\pi\) | |||||||
\(104\) | 39.4603 | + | 2.95714i | 0.379426 | + | 0.0284340i | ||||
\(105\) | 9.06978 | + | 3.55963i | 0.0863789 | + | 0.0339012i | ||||
\(106\) | 17.6562 | − | 117.141i | 0.166568 | − | 1.10510i | ||||
\(107\) | 97.0357 | − | 46.7299i | 0.906876 | − | 0.436728i | 0.0785084 | − | 0.996913i | \(-0.474984\pi\) |
0.828368 | + | 0.560185i | \(0.189270\pi\) | |||||||
\(108\) | 58.2060 | + | 120.866i | 0.538944 | + | 1.11913i | ||||
\(109\) | 191.753 | + | 28.9022i | 1.75920 | + | 0.265157i | 0.947694 | − | 0.319181i | \(-0.103408\pi\) |
0.811510 | + | 0.584338i | \(0.198646\pi\) | |||||||
\(110\) | −26.5040 | + | 67.5310i | −0.240945 | + | 0.613918i | ||||
\(111\) | −9.06603 | + | 120.978i | −0.0816759 | + | 1.08989i | ||||
\(112\) | 17.0558 | − | 18.3818i | 0.152284 | − | 0.164123i | ||||
\(113\) | 131.239 | + | 29.9545i | 1.16141 | + | 0.265084i | 0.759444 | − | 0.650572i | \(-0.225471\pi\) |
0.401963 | + | 0.915656i | \(0.368328\pi\) | |||||||
\(114\) | 10.3384 | + | 68.5911i | 0.0906881 | + | 0.601676i | ||||
\(115\) | −29.9027 | − | 43.8592i | −0.260023 | − | 0.381384i | ||||
\(116\) | −44.0249 | + | 142.725i | −0.379525 | + | 1.23039i | ||||
\(117\) | 1.39099 | + | 18.5615i | 0.0118888 | + | 0.158645i | ||||
\(118\) | 99.5376 | + | 79.3786i | 0.843539 | + | 0.672700i | ||||
\(119\) | 7.83907 | + | 25.4136i | 0.0658745 | + | 0.213560i | ||||
\(120\) | 9.86839 | − | 3.87306i | 0.0822366 | − | 0.0322755i | ||||
\(121\) | −18.3605 | − | 80.4424i | −0.151739 | − | 0.664813i | ||||
\(122\) | 52.8500 | − | 91.5390i | 0.433197 | − | 0.750319i | ||||
\(123\) | −70.5094 | + | 40.7086i | −0.573247 | + | 0.330965i | ||||
\(124\) | 118.149 | − | 109.626i | 0.952812 | − | 0.884081i | ||||
\(125\) | −63.2690 | + | 50.4554i | −0.506152 | + | 0.403643i | ||||
\(126\) | −5.02891 | − | 3.42865i | −0.0399120 | − | 0.0272115i | ||||
\(127\) | 18.6692 | + | 8.99060i | 0.147001 | + | 0.0707921i | 0.505938 | − | 0.862570i | \(-0.331146\pi\) |
−0.358937 | + | 0.933362i | \(0.616861\pi\) | |||||||
\(128\) | − | 68.6461i | − | 0.536298i | ||||||
\(129\) | −92.3051 | + | 78.8840i | −0.715543 | + | 0.611504i | ||||
\(130\) | 92.2079 | 0.709292 | ||||||||
\(131\) | 14.2240 | − | 29.5364i | 0.108580 | − | 0.225469i | −0.839598 | − | 0.543208i | \(-0.817209\pi\) |
0.948178 | + | 0.317739i | \(0.102924\pi\) | |||||||
\(132\) | −107.521 | + | 157.704i | −0.814551 | + | 1.19473i | ||||
\(133\) | −10.3924 | − | 13.0317i | −0.0781384 | − | 0.0979825i | ||||
\(134\) | −212.945 | − | 229.500i | −1.58914 | − | 1.71269i | ||||
\(135\) | 24.3529 | + | 42.1804i | 0.180392 | + | 0.312448i | ||||
\(136\) | 25.0601 | + | 14.4685i | 0.184266 | + | 0.106386i | ||||
\(137\) | −7.86829 | + | 1.79589i | −0.0574328 | + | 0.0131087i | −0.251141 | − | 0.967951i | \(-0.580806\pi\) |
0.193708 | + | 0.981059i | \(0.437949\pi\) | |||||||
\(138\) | −94.0987 | − | 239.759i | −0.681874 | − | 1.73739i | ||||
\(139\) | −15.5476 | + | 4.79581i | −0.111853 | + | 0.0345022i | −0.350177 | − | 0.936684i | \(-0.613878\pi\) |
0.238323 | + | 0.971186i | \(0.423402\pi\) | |||||||
\(140\) | −10.1937 | + | 12.7825i | −0.0728121 | + | 0.0913035i | ||||
\(141\) | 38.6818 | − | 2.89880i | 0.274339 | − | 0.0205589i | ||||
\(142\) | −101.453 | − | 31.2941i | −0.714458 | − | 0.220381i | ||||
\(143\) | −213.722 | + | 145.713i | −1.49456 | + | 1.01897i | ||||
\(144\) | 12.6904 | − | 1.91277i | 0.0881280 | − | 0.0132832i | ||||
\(145\) | −12.0668 | + | 52.8683i | −0.0832196 | + | 0.364609i | ||||
\(146\) | −175.650 | − | 162.979i | −1.20308 | − | 1.11630i | ||||
\(147\) | 126.648 | + | 9.49093i | 0.861549 | + | 0.0645642i | ||||
\(148\) | −189.500 | − | 74.3732i | −1.28040 | − | 0.502521i | ||||
\(149\) | 3.30407 | − | 21.9210i | 0.0221749 | − | 0.147121i | −0.975003 | − | 0.222190i | \(-0.928680\pi\) |
0.997178 | + | 0.0750687i | \(0.0239176\pi\) | |||||||
\(150\) | −165.756 | + | 79.8237i | −1.10504 | + | 0.532158i | ||||
\(151\) | 14.7284 | + | 30.5838i | 0.0975391 | + | 0.202542i | 0.944029 | − | 0.329863i | \(-0.107003\pi\) |
−0.846490 | + | 0.532405i | \(0.821288\pi\) | |||||||
\(152\) | −17.9332 | − | 2.70300i | −0.117982 | − | 0.0177829i | ||||
\(153\) | −4.97282 | + | 12.6706i | −0.0325021 | + | 0.0828141i | ||||
\(154\) | 6.32090 | − | 84.3466i | 0.0410448 | − | 0.547705i | ||||
\(155\) | 39.8015 | − | 42.8959i | 0.256784 | − | 0.276747i | ||||
\(156\) | 236.519 | + | 53.9838i | 1.51614 | + | 0.346050i | ||||
\(157\) | 13.3083 | + | 88.2946i | 0.0847660 | + | 0.562386i | 0.990390 | + | 0.138304i | \(0.0441651\pi\) |
−0.905624 | + | 0.424082i | \(0.860597\pi\) | |||||||
\(158\) | 116.749 | + | 171.240i | 0.738921 | + | 1.08380i | ||||
\(159\) | 33.3548 | − | 108.134i | 0.209779 | − | 0.680086i | ||||
\(160\) | −5.87330 | − | 78.3737i | −0.0367081 | − | 0.489836i | ||||
\(161\) | 48.3882 | + | 38.5883i | 0.300548 | + | 0.239679i | ||||
\(162\) | 61.6082 | + | 199.729i | 0.380297 | + | 1.23289i | ||||
\(163\) | −211.425 | + | 82.9781i | −1.29709 | + | 0.509068i | −0.910623 | − | 0.413237i | \(-0.864398\pi\) |
−0.386462 | + | 0.922305i | \(0.626303\pi\) | |||||||
\(164\) | −30.4007 | − | 133.194i | −0.185370 | − | 0.812160i | ||||
\(165\) | −34.6492 | + | 60.0142i | −0.209995 | + | 0.363722i | ||||
\(166\) | 312.121 | − | 180.203i | 1.88025 | − | 1.08556i | ||||
\(167\) | 191.665 | − | 177.839i | 1.14769 | − | 1.06490i | 0.150610 | − | 0.988593i | \(-0.451876\pi\) |
0.997084 | − | 0.0763114i | \(-0.0243143\pi\) | |||||||
\(168\) | −9.66362 | + | 7.70648i | −0.0575216 | + | 0.0458719i | ||||
\(169\) | 132.013 | + | 90.0048i | 0.781141 | + | 0.532573i | ||||
\(170\) | 60.7511 | + | 29.2562i | 0.357359 | + | 0.172095i | ||||
\(171\) | − | 8.53078i | − | 0.0498876i | ||||||
\(172\) | −80.8335 | − | 187.025i | −0.469962 | − | 1.08735i | ||||
\(173\) | −268.474 | −1.55187 | −0.775936 | − | 0.630812i | \(-0.782722\pi\) | ||||
−0.775936 | + | 0.630812i | \(0.782722\pi\) | |||||||
\(174\) | −114.163 | + | 237.062i | −0.656111 | + | 1.36243i | ||||
\(175\) | 24.9032 | − | 36.5262i | 0.142304 | − | 0.208721i | ||||
\(176\) | 111.199 | + | 139.439i | 0.631810 | + | 0.792265i | ||||
\(177\) | 82.7187 | + | 89.1496i | 0.467338 | + | 0.503670i | ||||
\(178\) | 253.499 | + | 439.074i | 1.42415 | + | 2.46671i | ||||
\(179\) | −166.630 | − | 96.2036i | −0.930891 | − | 0.537450i | −0.0437980 | − | 0.999040i | \(-0.513946\pi\) |
−0.887093 | + | 0.461590i | \(0.847279\pi\) | |||||||
\(180\) | −8.15787 | + | 1.86198i | −0.0453215 | + | 0.0103443i | ||||
\(181\) | 28.5837 | + | 72.8301i | 0.157921 | + | 0.402376i | 0.987833 | − | 0.155518i | \(-0.0497047\pi\) |
−0.829912 | + | 0.557894i | \(0.811609\pi\) | |||||||
\(182\) | −102.731 | + | 31.6884i | −0.564458 | + | 0.174112i | ||||
\(183\) | 62.9528 | − | 78.9403i | 0.344005 | − | 0.431368i | ||||
\(184\) | 67.1521 | − | 5.03235i | 0.364957 | − | 0.0273498i | ||||
\(185\) | −70.6265 | − | 21.7854i | −0.381765 | − | 0.117759i | ||||
\(186\) | 234.594 | − | 159.943i | 1.26126 | − | 0.859910i | ||||
\(187\) | −187.043 | + | 28.1922i | −1.00023 | + | 0.150761i | ||||
\(188\) | −14.4840 | + | 63.4587i | −0.0770428 | + | 0.337546i | ||||
\(189\) | −41.6281 | − | 38.6252i | −0.220254 | − | 0.204366i | ||||
\(190\) | −42.1417 | − | 3.15809i | −0.221799 | − | 0.0166215i | ||||
\(191\) | 191.135 | + | 75.0150i | 1.00071 | + | 0.392748i | 0.808430 | − | 0.588592i | \(-0.200318\pi\) |
0.192277 | + | 0.981341i | \(0.438413\pi\) | |||||||
\(192\) | 35.7904 | − | 237.454i | 0.186408 | − | 1.23674i | ||||
\(193\) | 232.252 | − | 111.846i | 1.20338 | − | 0.579515i | 0.278740 | − | 0.960367i | \(-0.410083\pi\) |
0.924636 | + | 0.380851i | \(0.124369\pi\) | |||||||
\(194\) | 7.32305 | + | 15.2065i | 0.0377477 | + | 0.0783838i | ||||
\(195\) | 87.0965 | + | 13.1277i | 0.446649 | + | 0.0673215i | ||||
\(196\) | −77.8589 | + | 198.381i | −0.397239 | + | 1.01215i | ||||
\(197\) | 15.9147 | − | 212.367i | 0.0807854 | − | 1.07801i | −0.798589 | − | 0.601876i | \(-0.794420\pi\) |
0.879375 | − | 0.476130i | \(-0.157961\pi\) | |||||||
\(198\) | 29.4445 | − | 31.7337i | 0.148710 | − | 0.160271i | ||||
\(199\) | −369.601 | − | 84.3590i | −1.85729 | − | 0.423915i | −0.860899 | − | 0.508776i | \(-0.830098\pi\) |
−0.996393 | + | 0.0848612i | \(0.972955\pi\) | |||||||
\(200\) | −7.16900 | − | 47.5632i | −0.0358450 | − | 0.237816i | ||||
\(201\) | −168.467 | − | 247.095i | −0.838144 | − | 1.22933i | ||||
\(202\) | 33.7053 | − | 109.270i | 0.166858 | − | 0.540939i | ||||
\(203\) | −4.72487 | − | 63.0490i | −0.0232752 | − | 0.310586i | ||||
\(204\) | 138.702 | + | 110.611i | 0.679911 | + | 0.542211i | ||||
\(205\) | −14.6204 | − | 47.3983i | −0.0713192 | − | 0.231211i | ||||
\(206\) | 99.1631 | − | 38.9187i | 0.481374 | − | 0.188926i | ||||
\(207\) | 7.04853 | + | 30.8816i | 0.0340509 | + | 0.149187i | ||||
\(208\) | 113.343 | − | 196.316i | 0.544919 | − | 0.943828i | ||||
\(209\) | 102.668 | − | 59.2753i | 0.491234 | − | 0.283614i | ||||
\(210\) | −21.1132 | + | 19.5902i | −0.100539 | + | 0.0932865i | ||||
\(211\) | 215.454 | − | 171.818i | 1.02111 | − | 0.814305i | 0.0383604 | − | 0.999264i | \(-0.487787\pi\) |
0.982746 | + | 0.184959i | \(0.0592151\pi\) | |||||||
\(212\) | 156.891 | + | 106.967i | 0.740054 | + | 0.504560i | ||||
\(213\) | −91.3737 | − | 44.0033i | −0.428985 | − | 0.206588i | ||||
\(214\) | 318.372i | 1.48772i | ||||||||
\(215\) | −34.3402 | − | 65.5193i | −0.159722 | − | 0.304741i | ||||
\(216\) | −61.7876 | −0.286054 | ||||||||
\(217\) | −29.6023 | + | 61.4698i | −0.136416 | + | 0.283271i | ||||
\(218\) | −322.915 | + | 473.630i | −1.48126 | + | 2.17261i | ||||
\(219\) | −142.710 | − | 178.952i | −0.651642 | − | 0.817133i | ||||
\(220\) | −79.0931 | − | 85.2421i | −0.359514 | − | 0.387464i | ||||
\(221\) | 120.211 | + | 208.212i | 0.543943 | + | 0.942137i | ||||
\(222\) | −310.574 | − | 179.310i | −1.39898 | − | 0.807702i | ||||
\(223\) | −87.2259 | + | 19.9087i | −0.391147 | + | 0.0892769i | −0.413571 | − | 0.910472i | \(-0.635719\pi\) |
0.0224239 | + | 0.999749i | \(0.492862\pi\) | |||||||
\(224\) | 33.4777 | + | 85.2999i | 0.149454 | + | 0.380803i | ||||
\(225\) | 21.6205 | − | 6.66903i | 0.0960909 | − | 0.0296401i | ||||
\(226\) | −248.103 | + | 311.112i | −1.09780 | + | 1.37660i | ||||
\(227\) | 239.962 | − | 17.9826i | 1.05710 | − | 0.0792187i | 0.465180 | − | 0.885216i | \(-0.345989\pi\) |
0.591919 | + | 0.805997i | \(0.298370\pi\) | |||||||
\(228\) | −106.247 | − | 32.7728i | −0.465995 | − | 0.143741i | ||||
\(229\) | −353.391 | + | 240.938i | −1.54319 | + | 1.05213i | −0.570138 | + | 0.821549i | \(0.693110\pi\) |
−0.973053 | + | 0.230581i | \(0.925937\pi\) | |||||||
\(230\) | 155.163 | − | 23.3871i | 0.674624 | − | 0.101683i | ||||
\(231\) | 17.9790 | − | 78.7711i | 0.0778311 | − | 0.341000i | ||||
\(232\) | −50.4288 | − | 46.7911i | −0.217365 | − | 0.201686i | ||||
\(233\) | 210.314 | + | 15.7609i | 0.902636 | + | 0.0676432i | 0.517957 | − | 0.855407i | \(-0.326693\pi\) |
0.384680 | + | 0.923050i | \(0.374312\pi\) | |||||||
\(234\) | −51.2191 | − | 20.1020i | −0.218885 | − | 0.0859061i | ||||
\(235\) | −3.52220 | + | 23.3683i | −0.0149881 | + | 0.0994396i | ||||
\(236\) | −183.862 | + | 88.5430i | −0.779074 | + | 0.375182i | ||||
\(237\) | 85.8981 | + | 178.369i | 0.362439 | + | 0.752613i | ||||
\(238\) | −77.7388 | − | 11.7172i | −0.326633 | − | 0.0492321i | ||||
\(239\) | 112.471 | − | 286.572i | 0.470591 | − | 1.19905i | −0.476813 | − | 0.879005i | \(-0.658208\pi\) |
0.947404 | − | 0.320041i | \(-0.103697\pi\) | |||||||
\(240\) | 4.53837 | − | 60.5604i | 0.0189099 | − | 0.252335i | ||||
\(241\) | −137.532 | + | 148.224i | −0.570673 | + | 0.615039i | −0.950766 | − | 0.309909i | \(-0.899701\pi\) |
0.380093 | + | 0.924948i | \(0.375892\pi\) | |||||||
\(242\) | 237.792 | + | 54.2745i | 0.982613 | + | 0.224275i | ||||
\(243\) | −8.21999 | − | 54.5361i | −0.0338271 | − | 0.224428i | ||||
\(244\) | 95.4415 | + | 139.987i | 0.391154 | + | 0.573717i | ||||
\(245\) | −22.8064 | + | 73.9366i | −0.0930875 | + | 0.301782i | ||||
\(246\) | −17.9856 | − | 240.001i | −0.0731122 | − | 0.975614i | ||||
\(247\) | −117.807 | − | 93.9483i | −0.476953 | − | 0.380358i | ||||
\(248\) | 21.8808 | + | 70.9358i | 0.0882290 | + | 0.286031i | ||||
\(249\) | 320.475 | − | 125.777i | 1.28705 | − | 0.505129i | ||||
\(250\) | −53.2306 | − | 233.219i | −0.212923 | − | 0.932875i | ||||
\(251\) | 89.7034 | − | 155.371i | 0.357384 | − | 0.619007i | −0.630139 | − | 0.776482i | \(-0.717002\pi\) |
0.987523 | + | 0.157475i | \(0.0503354\pi\) | |||||||
\(252\) | 8.44901 | − | 4.87804i | 0.0335278 | − | 0.0193573i | ||||
\(253\) | −322.684 | + | 299.407i | −1.27543 | + | 1.18343i | ||||
\(254\) | −47.8896 | + | 38.1907i | −0.188542 | + | 0.150357i | ||||
\(255\) | 53.2182 | + | 36.2836i | 0.208699 | + | 0.142289i | ||||
\(256\) | −123.655 | − | 59.5490i | −0.483026 | − | 0.232613i | ||||
\(257\) | 183.358i | 0.713454i | 0.934209 | + | 0.356727i | \(0.116107\pi\) | ||||
−0.934209 | + | 0.356727i | \(0.883893\pi\) | |||||||
\(258\) | −91.7039 | − | 347.013i | −0.355442 | − | 1.34501i | ||||
\(259\) | 86.1738 | 0.332717 | ||||||||
\(260\) | −64.1281 | + | 133.163i | −0.246647 | + | 0.512167i | ||||
\(261\) | 18.2285 | − | 26.7363i | 0.0698410 | − | 0.102438i | ||||
\(262\) | 60.4213 | + | 75.7659i | 0.230616 | + | 0.289183i | ||||
\(263\) | −158.041 | − | 170.328i | −0.600918 | − | 0.647636i | 0.357194 | − | 0.934030i | \(-0.383734\pi\) |
−0.958112 | + | 0.286395i | \(0.907543\pi\) | |||||||
\(264\) | −43.9556 | − | 76.1333i | −0.166498 | − | 0.288384i | ||||
\(265\) | 59.7050 | + | 34.4707i | 0.225302 | + | 0.130078i | ||||
\(266\) | 48.0366 | − | 10.9640i | 0.180589 | − | 0.0412182i | ||||
\(267\) | 176.936 | + | 450.825i | 0.662681 | + | 1.68848i | ||||
\(268\) | 479.534 | − | 147.917i | 1.78931 | − | 0.551928i | ||||
\(269\) | −161.150 | + | 202.075i | −0.599070 | + | 0.751210i | −0.985233 | − | 0.171221i | \(-0.945229\pi\) |
0.386163 | + | 0.922431i | \(0.373800\pi\) | |||||||
\(270\) | −143.574 | + | 10.7594i | −0.531757 | + | 0.0398497i | ||||
\(271\) | −98.4827 | − | 30.3779i | −0.363405 | − | 0.112096i | 0.107675 | − | 0.994186i | \(-0.465659\pi\) |
−0.471080 | + | 0.882091i | \(0.656136\pi\) | |||||||
\(272\) | 136.964 | − | 93.3806i | 0.503545 | − | 0.343311i | ||||
\(273\) | −101.548 | + | 15.3059i | −0.371971 | + | 0.0560656i | ||||
\(274\) | 5.30874 | − | 23.2591i | 0.0193750 | − | 0.0848872i | ||||
\(275\) | 230.489 | + | 213.863i | 0.838144 | + | 0.777684i | ||||
\(276\) | 411.695 | + | 30.8523i | 1.49165 | + | 0.111784i | ||||
\(277\) | −159.675 | − | 62.6676i | −0.576442 | − | 0.226237i | 0.0591666 | − | 0.998248i | \(-0.481156\pi\) |
−0.635609 | + | 0.772011i | \(0.719251\pi\) | |||||||
\(278\) | 7.16841 | − | 47.5593i | 0.0257856 | − | 0.171077i | ||||
\(279\) | −31.4603 | + | 15.1505i | −0.112761 | + | 0.0543029i | ||||
\(280\) | −3.26725 | − | 6.78452i | −0.0116688 | − | 0.0242304i | ||||
\(281\) | −388.274 | − | 58.5229i | −1.38176 | − | 0.208266i | −0.584249 | − | 0.811574i | \(-0.698611\pi\) |
−0.797508 | + | 0.603308i | \(0.793849\pi\) | |||||||
\(282\) | −41.8922 | + | 106.740i | −0.148554 | + | 0.378510i | ||||
\(283\) | 7.85799 | − | 104.858i | 0.0277668 | − | 0.370522i | −0.965960 | − | 0.258690i | \(-0.916709\pi\) |
0.993727 | − | 0.111832i | \(-0.0356718\pi\) | |||||||
\(284\) | 115.752 | − | 124.751i | 0.407576 | − | 0.439263i | ||||
\(285\) | −39.3560 | − | 8.98276i | −0.138091 | − | 0.0315185i | ||||
\(286\) | −113.964 | − | 756.099i | −0.398474 | − | 2.64370i | ||||
\(287\) | 32.5781 | + | 47.7833i | 0.113512 | + | 0.166492i | ||||
\(288\) | −13.8236 | + | 44.8150i | −0.0479986 | + | 0.155608i | ||||
\(289\) | −8.45844 | − | 112.870i | −0.0292680 | − | 0.390554i | ||||
\(290\) | −125.328 | − | 99.9459i | −0.432166 | − | 0.344641i | ||||
\(291\) | 4.75215 | + | 15.4061i | 0.0163304 | + | 0.0529419i | ||||
\(292\) | 357.529 | − | 140.320i | 1.22441 | − | 0.480547i | ||||
\(293\) | 27.0181 | + | 118.374i | 0.0922120 | + | 0.404007i | 0.999877 | − | 0.0156884i | \(-0.00499397\pi\) |
−0.907665 | + | 0.419696i | \(0.862137\pi\) | |||||||
\(294\) | −187.714 | + | 325.130i | −0.638482 | + | 1.10588i | ||||
\(295\) | −64.1650 | + | 37.0457i | −0.217508 | + | 0.125578i | ||||
\(296\) | 68.7321 | − | 63.7741i | 0.232203 | − | 0.215453i | ||||
\(297\) | 315.778 | − | 251.825i | 1.06323 | − | 0.847894i | ||||
\(298\) | 54.1449 | + | 36.9154i | 0.181694 | + | 0.123877i | ||||
\(299\) | 504.091 | + | 242.757i | 1.68592 | + | 0.811897i | ||||
\(300\) | − | 294.893i | − | 0.982978i | ||||||
\(301\) | 60.7759 | + | 61.1954i | 0.201913 | + | 0.203307i | ||||
\(302\) | −100.345 | −0.332267 | ||||||||
\(303\) | 47.3936 | − | 98.4139i | 0.156415 | − | 0.324798i | ||||
\(304\) | −58.5249 | + | 85.8403i | −0.192516 | + | 0.282369i | ||||
\(305\) | 38.3529 | + | 48.0930i | 0.125747 | + | 0.157682i | ||||
\(306\) | −27.3676 | − | 29.4953i | −0.0894366 | − | 0.0963897i | ||||
\(307\) | −90.6923 | − | 157.084i | −0.295415 | − | 0.511673i | 0.679667 | − | 0.733521i | \(-0.262124\pi\) |
−0.975081 | + | 0.221848i | \(0.928791\pi\) | |||||||
\(308\) | 117.414 | + | 67.7892i | 0.381216 | + | 0.220095i | ||||
\(309\) | 99.2071 | − | 22.6434i | 0.321058 | − | 0.0732795i | ||||
\(310\) | 63.1963 | + | 161.022i | 0.203859 | + | 0.519424i | ||||
\(311\) | −179.768 | + | 55.4511i | −0.578032 | + | 0.178299i | −0.569966 | − | 0.821668i | \(-0.693044\pi\) |
−0.00806599 | + | 0.999967i | \(0.502568\pi\) | |||||||
\(312\) | −69.6673 | + | 87.3600i | −0.223293 | + | 0.280000i | ||||
\(313\) | 332.401 | − | 24.9100i | 1.06198 | − | 0.0795848i | 0.467738 | − | 0.883867i | \(-0.345069\pi\) |
0.594247 | + | 0.804283i | \(0.297450\pi\) | |||||||
\(314\) | −252.225 | − | 77.8012i | −0.803265 | − | 0.247774i | ||||
\(315\) | 2.92662 | − | 1.99534i | 0.00929087 | − | 0.00633441i | ||||
\(316\) | −328.495 | + | 49.5126i | −1.03954 | + | 0.156686i | ||||
\(317\) | −133.491 | + | 584.862i | −0.421107 | + | 1.84499i | 0.104860 | + | 0.994487i | \(0.466561\pi\) |
−0.525967 | + | 0.850505i | \(0.676296\pi\) | |||||||
\(318\) | 245.214 | + | 227.525i | 0.771112 | + | 0.715488i | ||||
\(319\) | 448.431 | + | 33.6052i | 1.40574 | + | 0.105346i | ||||
\(320\) | 136.185 | + | 53.4488i | 0.425579 | + | 0.167027i | ||||
\(321\) | −45.3267 | + | 300.723i | −0.141205 | + | 0.936833i | ||||
\(322\) | −164.835 | + | 79.3802i | −0.511909 | + | 0.246522i | ||||
\(323\) | −47.8090 | − | 99.2763i | −0.148015 | − | 0.307357i | ||||
\(324\) | −331.288 | − | 49.9336i | −1.02249 | − | 0.154116i | ||||
\(325\) | 146.006 | − | 372.017i | 0.449249 | − | 1.14467i | ||||
\(326\) | 50.1734 | − | 669.517i | 0.153906 | − | 2.05373i | ||||
\(327\) | −372.446 | + | 401.401i | −1.13898 | + | 1.22753i | ||||
\(328\) | 61.3469 | + | 14.0020i | 0.187033 | + | 0.0426891i | ||||
\(329\) | −4.10663 | − | 27.2457i | −0.0124822 | − | 0.0828137i | ||||
\(330\) | −115.396 | − | 169.255i | −0.349685 | − | 0.512894i | ||||
\(331\) | −10.8546 | + | 35.1896i | −0.0327932 | + | 0.106313i | −0.970490 | − | 0.241142i | \(-0.922478\pi\) |
0.937697 | + | 0.347455i | \(0.112954\pi\) | |||||||
\(332\) | 43.1713 | + | 576.081i | 0.130034 | + | 1.73518i | ||||
\(333\) | 34.4818 | + | 27.4983i | 0.103549 | + | 0.0825776i | ||||
\(334\) | 227.815 | + | 738.558i | 0.682080 | + | 2.21125i | ||||
\(335\) | 169.603 | − | 66.5641i | 0.506277 | − | 0.198699i | ||||
\(336\) | 15.7560 | + | 69.0317i | 0.0468929 | + | 0.205451i | ||||
\(337\) | 210.679 | − | 364.907i | 0.625160 | − | 1.08281i | −0.363350 | − | 0.931653i | \(-0.618367\pi\) |
0.988510 | − | 0.151156i | \(-0.0482997\pi\) | |||||||
\(338\) | −409.029 | + | 236.153i | −1.21014 | + | 0.698677i | ||||
\(339\) | −278.643 | + | 258.543i | −0.821956 | + | 0.762664i | ||||
\(340\) | −84.5015 | + | 67.3877i | −0.248534 | + | 0.198199i | ||||
\(341\) | −400.935 | − | 273.353i | −1.17576 | − | 0.801622i | ||||
\(342\) | 22.7201 | + | 10.9414i | 0.0664332 | + | 0.0319925i | ||||
\(343\) | − | 188.494i | − | 0.549546i | ||||||
\(344\) | 93.7633 | + | 3.83132i | 0.272568 | + | 0.0111376i | ||||
\(345\) | 149.892 | 0.434469 | ||||||||
\(346\) | 344.340 | − | 715.030i | 0.995204 | − | 2.06656i | ||||
\(347\) | 118.071 | − | 173.178i | 0.340261 | − | 0.499071i | −0.617526 | − | 0.786551i | \(-0.711865\pi\) |
0.957787 | + | 0.287479i | \(0.0928172\pi\) | |||||||
\(348\) | −262.960 | − | 329.741i | −0.755632 | − | 0.947532i | ||||
\(349\) | 268.146 | + | 288.993i | 0.768327 | + | 0.828060i | 0.989097 | − | 0.147266i | \(-0.0470473\pi\) |
−0.220770 | + | 0.975326i | \(0.570857\pi\) | |||||||
\(350\) | 65.3404 | + | 113.173i | 0.186687 | + | 0.323351i | ||||
\(351\) | −444.585 | − | 256.681i | −1.26662 | − | 0.731286i | ||||
\(352\) | −635.400 | + | 145.026i | −1.80511 | + | 0.412005i | ||||
\(353\) | 113.362 | + | 288.842i | 0.321139 | + | 0.818250i | 0.996717 | + | 0.0809610i | \(0.0257989\pi\) |
−0.675578 | + | 0.737289i | \(0.736106\pi\) | |||||||
\(354\) | −343.527 | + | 105.964i | −0.970416 | + | 0.299334i | ||||
\(355\) | 38.5233 | − | 48.3067i | 0.108516 | − | 0.136075i | ||||
\(356\) | −810.396 | + | 60.7308i | −2.27639 | + | 0.170592i | ||||
\(357\) | −71.7612 | − | 22.1354i | −0.201012 | − | 0.0620040i | ||||
\(358\) | 469.937 | − | 320.398i | 1.31267 | − | 0.894965i | ||||
\(359\) | −42.2615 | + | 6.36990i | −0.117720 | + | 0.0177434i | −0.207638 | − | 0.978206i | \(-0.566578\pi\) |
0.0899179 | + | 0.995949i | \(0.471340\pi\) | |||||||
\(360\) | 0.857595 | − | 3.75737i | 0.00238221 | − | 0.0104371i | ||||
\(361\) | −214.008 | − | 198.570i | −0.592820 | − | 0.550056i | ||||
\(362\) | −230.630 | − | 17.2834i | −0.637101 | − | 0.0477441i | ||||
\(363\) | 216.884 | + | 85.1205i | 0.597475 | + | 0.234492i | ||||
\(364\) | 25.6836 | − | 170.400i | 0.0705593 | − | 0.468131i | ||||
\(365\) | 125.637 | − | 60.5034i | 0.344210 | − | 0.165763i | ||||
\(366\) | 129.501 | + | 268.911i | 0.353827 | + | 0.734729i | ||||
\(367\) | −162.295 | − | 24.4621i | −0.442221 | − | 0.0666541i | −0.0758422 | − | 0.997120i | \(-0.524165\pi\) |
−0.366379 | + | 0.930466i | \(0.619403\pi\) | |||||||
\(368\) | 140.936 | − | 359.100i | 0.382979 | − | 0.975815i | ||||
\(369\) | −2.21191 | + | 29.5159i | −0.00599434 | + | 0.0799889i | ||||
\(370\) | 148.606 | − | 160.159i | 0.401637 | − | 0.432862i | ||||
\(371\) | −78.3653 | − | 17.8864i | −0.211227 | − | 0.0482112i | ||||
\(372\) | 67.8308 | + | 450.028i | 0.182341 | + | 1.20975i | ||||
\(373\) | −229.809 | − | 337.068i | −0.616110 | − | 0.903667i | 0.383694 | − | 0.923460i | \(-0.374652\pi\) |
−0.999804 | + | 0.0197929i | \(0.993699\pi\) | |||||||
\(374\) | 164.814 | − | 534.314i | 0.440679 | − | 1.42865i | ||||
\(375\) | −17.0764 | − | 227.869i | −0.0455371 | − | 0.607651i | ||||
\(376\) | −23.4390 | − | 18.6920i | −0.0623378 | − | 0.0497127i | ||||
\(377\) | −168.472 | − | 546.174i | −0.446876 | − | 1.44874i | ||||
\(378\) | 156.263 | − | 61.3285i | 0.413393 | − | 0.162245i | ||||
\(379\) | −11.0508 | − | 48.4165i | −0.0291577 | − | 0.127748i | 0.958254 | − | 0.285917i | \(-0.0922981\pi\) |
−0.987412 | + | 0.158169i | \(0.949441\pi\) | |||||||
\(380\) | 33.8692 | − | 58.6632i | 0.0891295 | − | 0.154377i | ||||
\(381\) | −50.6721 | + | 29.2556i | −0.132998 | + | 0.0767863i | ||||
\(382\) | −444.935 | + | 412.840i | −1.16475 | + | 1.08073i | ||||
\(383\) | −35.7097 | + | 28.4775i | −0.0932367 | + | 0.0743538i | −0.668999 | − | 0.743263i | \(-0.733277\pi\) |
0.575762 | + | 0.817617i | \(0.304705\pi\) | |||||||
\(384\) | 160.156 | + | 109.193i | 0.417074 | + | 0.284356i | ||||
\(385\) | 44.3493 | + | 21.3575i | 0.115193 | + | 0.0554740i | ||||
\(386\) | 762.012i | 1.97412i | ||||||||
\(387\) | 4.79140 | + | 43.8807i | 0.0123809 | + | 0.113387i | ||||
\(388\) | −27.0536 | −0.0697258 | ||||||||
\(389\) | 43.6410 | − | 90.6214i | 0.112188 | − | 0.232960i | −0.837314 | − | 0.546722i | \(-0.815875\pi\) |
0.949501 | + | 0.313763i | \(0.101590\pi\) | |||||||
\(390\) | −146.672 | + | 215.128i | −0.376082 | + | 0.551610i | ||||
\(391\) | 255.096 | + | 319.881i | 0.652421 | + | 0.818110i | ||||
\(392\) | −66.7630 | − | 71.9534i | −0.170314 | − | 0.183555i | ||||
\(393\) | 46.2851 | + | 80.1681i | 0.117774 | + | 0.203990i | ||||
\(394\) | 545.189 | + | 314.765i | 1.38373 | + | 0.798896i | ||||
\(395\) | −117.589 | + | 26.8388i | −0.297693 | + | 0.0679464i | ||||
\(396\) | 25.3508 | + | 64.5927i | 0.0640171 | + | 0.163113i | ||||
\(397\) | 543.240 | − | 167.567i | 1.36836 | − | 0.422084i | 0.478410 | − | 0.878137i | \(-0.341213\pi\) |
0.889953 | + | 0.456053i | \(0.150737\pi\) | |||||||
\(398\) | 698.719 | − | 876.166i | 1.75558 | − | 2.20142i | ||||
\(399\) | 46.9347 | − | 3.51727i | 0.117631 | − | 0.00881521i | ||||
\(400\) | −263.307 | − | 81.2193i | −0.658267 | − | 0.203048i | ||||
\(401\) | −138.479 | + | 94.4132i | −0.345334 | + | 0.235444i | −0.723549 | − | 0.690273i | \(-0.757490\pi\) |
0.378215 | + | 0.925718i | \(0.376538\pi\) | |||||||
\(402\) | 874.166 | − | 131.759i | 2.17454 | − | 0.327760i | ||||
\(403\) | −137.245 | + | 601.308i | −0.340557 | + | 1.49208i | ||||
\(404\) | 134.362 | + | 124.670i | 0.332580 | + | 0.308589i | ||||
\(405\) | −121.298 | − | 9.09003i | −0.299501 | − | 0.0224445i | ||||
\(406\) | 173.979 | + | 68.2818i | 0.428520 | + | 0.168182i | ||||
\(407\) | −91.3486 | + | 606.058i | −0.224444 | + | 1.48909i | ||||
\(408\) | −73.6183 | + | 35.4527i | −0.180437 | + | 0.0868939i | ||||
\(409\) | 37.9014 | + | 78.7031i | 0.0926685 | + | 0.192428i | 0.942151 | − | 0.335189i | \(-0.108800\pi\) |
−0.849483 | + | 0.527617i | \(0.823086\pi\) | |||||||
\(410\) | 144.989 | + | 21.8535i | 0.353631 | + | 0.0533013i | ||||
\(411\) | 8.32587 | − | 21.2140i | 0.0202576 | − | 0.0516155i | ||||
\(412\) | −12.7603 | + | 170.275i | −0.0309717 | + | 0.413288i | ||||
\(413\) | 58.7567 | − | 63.3247i | 0.142268 | − | 0.153329i | ||||
\(414\) | −91.2879 | − | 20.8359i | −0.220502 | − | 0.0503282i | ||||
\(415\) | 31.2604 | + | 207.399i | 0.0753263 | + | 0.499758i | ||||
\(416\) | 466.644 | + | 684.441i | 1.12174 | + | 1.64529i | ||||
\(417\) | 13.5421 | − | 43.9023i | 0.0324750 | − | 0.105281i | ||||
\(418\) | 26.1886 | + | 349.462i | 0.0626521 | + | 0.836035i | ||||
\(419\) | −475.228 | − | 378.982i | −1.13420 | − | 0.904492i | −0.137898 | − | 0.990446i | \(-0.544035\pi\) |
−0.996299 | + | 0.0859547i | \(0.972606\pi\) | |||||||
\(420\) | −13.6078 | − | 44.1153i | −0.0323995 | − | 0.105036i | ||||
\(421\) | 207.153 | − | 81.3017i | 0.492051 | − | 0.193116i | −0.106325 | − | 0.994331i | \(-0.533908\pi\) |
0.598375 | + | 0.801216i | \(0.295813\pi\) | |||||||
\(422\) | 181.269 | + | 794.192i | 0.429548 | + | 1.88197i | ||||
\(423\) | 7.05096 | − | 12.2126i | 0.0166689 | − | 0.0288714i | ||||
\(424\) | −75.7411 | + | 43.7291i | −0.178635 | + | 0.103135i | ||||
\(425\) | 214.231 | − | 198.778i | 0.504074 | − | 0.467712i | ||||
\(426\) | 234.389 | − | 186.919i | 0.550209 | − | 0.438777i | ||||
\(427\) | −59.2578 | − | 40.4013i | −0.138777 | − | 0.0946165i | ||||
\(428\) | −459.781 | − | 221.419i | −1.07426 | − | 0.517334i | ||||
\(429\) | − | 730.411i | − | 1.70259i | ||||||
\(430\) | 218.543 | − | 7.42477i | 0.508239 | − | 0.0172669i | ||||
\(431\) | 381.748 | 0.885725 | 0.442863 | − | 0.896589i | \(-0.353963\pi\) | ||||
0.442863 | + | 0.896589i | \(0.353963\pi\) | |||||||
\(432\) | −153.576 | + | 318.904i | −0.355500 | + | 0.738204i | ||||
\(433\) | 129.201 | − | 189.503i | 0.298386 | − | 0.437652i | −0.647541 | − | 0.762030i | \(-0.724203\pi\) |
0.945927 | + | 0.324378i | \(0.105155\pi\) | |||||||
\(434\) | −125.746 | − | 157.680i | −0.289737 | − | 0.363319i | ||||
\(435\) | −104.151 | − | 112.249i | −0.239429 | − | 0.258043i | ||||
\(436\) | −459.421 | − | 795.740i | −1.05372 | − | 1.82509i | ||||
\(437\) | −222.070 | − | 128.212i | −0.508169 | − | 0.293392i | ||||
\(438\) | 659.643 | − | 150.559i | 1.50603 | − | 0.343742i | ||||
\(439\) | −196.753 | − | 501.317i | −0.448183 | − | 1.14195i | −0.959287 | − | 0.282433i | \(-0.908858\pi\) |
0.511104 | − | 0.859519i | \(-0.329237\pi\) | |||||||
\(440\) | 51.1788 | − | 15.7866i | 0.116316 | − | 0.0358786i | ||||
\(441\) | 28.7871 | − | 36.0979i | 0.0652769 | − | 0.0818547i | ||||
\(442\) | −708.716 | + | 53.1109i | −1.60343 | + | 0.120161i | ||||
\(443\) | 609.884 | + | 188.124i | 1.37671 | + | 0.424660i | 0.892799 | − | 0.450456i | \(-0.148739\pi\) |
0.483914 | + | 0.875116i | \(0.339215\pi\) | |||||||
\(444\) | 474.949 | − | 323.815i | 1.06970 | − | 0.729312i | ||||
\(445\) | −291.757 | + | 43.9753i | −0.655634 | + | 0.0988210i | ||||
\(446\) | 58.8513 | − | 257.845i | 0.131954 | − | 0.578127i | ||||
\(447\) | 45.8878 | + | 42.5776i | 0.102657 | + | 0.0952520i | ||||
\(448\) | −170.096 | − | 12.7469i | −0.379679 | − | 0.0284530i | ||||
\(449\) | 173.963 | + | 68.2755i | 0.387446 | + | 0.152061i | 0.551065 | − | 0.834462i | \(-0.314222\pi\) |
−0.163619 | + | 0.986524i | \(0.552317\pi\) | |||||||
\(450\) | −9.96835 | + | 66.1357i | −0.0221519 | + | 0.146968i | ||||
\(451\) | −370.593 | + | 178.468i | −0.821714 | + | 0.395717i | ||||
\(452\) | −276.747 | − | 574.672i | −0.612273 | − | 1.27140i | ||||
\(453\) | −94.7823 | − | 14.2861i | −0.209232 | − | 0.0315367i | ||||
\(454\) | −259.878 | + | 662.158i | −0.572418 | + | 1.45850i | ||||
\(455\) | 4.67550 | − | 62.3902i | 0.0102758 | − | 0.137121i | ||||
\(456\) | 34.8320 | − | 37.5400i | 0.0763861 | − | 0.0823246i | ||||
\(457\) | −651.851 | − | 148.781i | −1.42637 | − | 0.325560i | −0.561467 | − | 0.827499i | \(-0.689763\pi\) |
−0.864903 | + | 0.501940i | \(0.832620\pi\) | |||||||
\(458\) | −188.439 | − | 1250.21i | −0.411440 | − | 2.72972i | ||||
\(459\) | −211.473 | − | 310.175i | −0.460726 | − | 0.675762i | ||||
\(460\) | −74.1372 | + | 240.347i | −0.161168 | + | 0.522493i | ||||
\(461\) | −6.86226 | − | 91.5705i | −0.0148856 | − | 0.198635i | −0.999688 | − | 0.0249587i | \(-0.992055\pi\) |
0.984803 | − | 0.173676i | \(-0.0555645\pi\) | |||||||
\(462\) | 186.733 | + | 148.914i | 0.404183 | + | 0.322325i | ||||
\(463\) | 211.770 | + | 686.543i | 0.457387 | + | 1.48281i | 0.831550 | + | 0.555450i | \(0.187454\pi\) |
−0.374163 | + | 0.927363i | \(0.622070\pi\) | |||||||
\(464\) | −366.846 | + | 143.976i | −0.790616 | + | 0.310294i | ||||
\(465\) | 36.7684 | + | 161.093i | 0.0790718 | + | 0.346436i | ||||
\(466\) | −311.722 | + | 539.918i | −0.668931 | + | 1.15862i | ||||
\(467\) | −255.701 | + | 147.629i | −0.547539 | + | 0.316122i | −0.748129 | − | 0.663553i | \(-0.769048\pi\) |
0.200590 | + | 0.979675i | \(0.435714\pi\) | |||||||
\(468\) | 64.6521 | − | 59.9884i | 0.138146 | − | 0.128180i | ||||
\(469\) | −166.083 | + | 132.447i | −0.354122 | + | 0.282403i | ||||
\(470\) | −57.7196 | − | 39.3526i | −0.122808 | − | 0.0837288i | ||||
\(471\) | −227.167 | − | 109.398i | −0.482308 | − | 0.232267i | ||||
\(472\) | − | 93.9914i | − | 0.199134i | ||||||
\(473\) | −494.811 | + | 362.566i | −1.04611 | + | 0.766523i | ||||
\(474\) | −585.225 | −1.23465 | ||||||||
\(475\) | −79.4704 | + | 165.022i | −0.167306 | + | 0.347415i | ||||
\(476\) | 70.9868 | − | 104.119i | 0.149132 | − | 0.218736i | ||||
\(477\) | −25.6497 | − | 32.1637i | −0.0537729 | − | 0.0674291i | ||||
\(478\) | 618.977 | + | 667.099i | 1.29493 | + | 1.39560i | ||||
\(479\) | 121.407 | + | 210.283i | 0.253460 | + | 0.439005i | 0.964476 | − | 0.264171i | \(-0.0850982\pi\) |
−0.711016 | + | 0.703175i | \(0.751765\pi\) | |||||||
\(480\) | 192.194 | + | 110.963i | 0.400405 | + | 0.231174i | ||||
\(481\) | 759.487 | − | 173.348i | 1.57898 | − | 0.360391i | ||||
\(482\) | −218.372 | − | 556.402i | −0.453053 | − | 1.15436i | ||||
\(483\) | −166.999 | + | 51.5123i | −0.345753 | + | 0.106651i | ||||
\(484\) | −243.759 | + | 305.665i | −0.503635 | + | 0.631539i | ||||
\(485\) | −9.79480 | + | 0.734019i | −0.0201955 | + | 0.00151344i | ||||
\(486\) | 155.790 | + | 48.0547i | 0.320555 | + | 0.0988780i | ||||
\(487\) | −253.958 | + | 173.146i | −0.521475 | + | 0.355536i | −0.795273 | − | 0.606252i | \(-0.792672\pi\) |
0.273798 | + | 0.961787i | \(0.411720\pi\) | |||||||
\(488\) | −77.1634 | + | 11.6305i | −0.158122 | + | 0.0238330i | ||||
\(489\) | 142.712 | − | 625.261i | 0.291844 | − | 1.27865i | ||||
\(490\) | −167.665 | − | 155.571i | −0.342174 | − | 0.317491i | ||||
\(491\) | −248.695 | − | 18.6371i | −0.506507 | − | 0.0379574i | −0.180973 | − | 0.983488i | \(-0.557925\pi\) |
−0.325533 | + | 0.945531i | \(0.605544\pi\) | |||||||
\(492\) | 359.110 | + | 140.940i | 0.729897 | + | 0.286464i | ||||
\(493\) | 62.2949 | − | 413.300i | 0.126359 | − | 0.838336i | ||||
\(494\) | 401.312 | − | 193.262i | 0.812372 | − | 0.391218i | ||||
\(495\) | 10.9308 | + | 22.6980i | 0.0220824 | + | 0.0458546i | ||||
\(496\) | 420.506 | + | 63.3811i | 0.847795 | + | 0.127785i | ||||
\(497\) | −26.3187 | + | 67.0589i | −0.0529551 | + | 0.134927i | ||||
\(498\) | −76.0521 | + | 1014.84i | −0.152715 | + | 2.03784i | ||||
\(499\) | 144.818 | − | 156.077i | 0.290217 | − | 0.312779i | −0.571067 | − | 0.820903i | \(-0.693470\pi\) |
0.861284 | + | 0.508124i | \(0.169661\pi\) | |||||||
\(500\) | 373.827 | + | 85.3235i | 0.747653 | + | 0.170647i | ||||
\(501\) | 110.037 | + | 730.051i | 0.219636 | + | 1.45719i | ||||
\(502\) | 298.749 | + | 438.185i | 0.595118 | + | 0.872878i | ||||
\(503\) | −115.993 | + | 376.039i | −0.230601 | + | 0.747591i | 0.764129 | + | 0.645064i | \(0.223169\pi\) |
−0.994730 | + | 0.102528i | \(0.967307\pi\) | |||||||
\(504\) | 0.335798 | + | 4.48091i | 0.000666265 | + | 0.00889069i | ||||
\(505\) | 52.0286 | + | 41.4915i | 0.103027 | + | 0.0821613i | ||||
\(506\) | −383.546 | − | 1243.43i | −0.757996 | − | 2.45736i | ||||
\(507\) | −419.976 | + | 164.828i | −0.828355 | + | 0.325105i | ||||
\(508\) | −21.8477 | − | 95.7210i | −0.0430073 | − | 0.188427i | ||||
\(509\) | −135.749 | + | 235.125i | −0.266698 | + | 0.461935i | −0.968007 | − | 0.250922i | \(-0.919266\pi\) |
0.701309 | + | 0.712858i | \(0.252599\pi\) | |||||||
\(510\) | −164.892 | + | 95.2002i | −0.323317 | + | 0.186667i | ||||
\(511\) | −119.182 | + | 110.585i | −0.233234 | + | 0.216409i | ||||
\(512\) | 531.874 | − | 424.155i | 1.03882 | − | 0.828429i | ||||
\(513\) | 194.397 | + | 132.538i | 0.378942 | + | 0.258358i | ||||
\(514\) | −488.339 | − | 235.172i | −0.950077 | − | 0.457533i | ||||
\(515\) | 61.9944i | 0.120378i | ||||||||
\(516\) | 564.921 | + | 108.903i | 1.09481 | + | 0.211051i | ||||
\(517\) | 195.972 | 0.379055 | ||||||||
\(518\) | −110.525 | + | 229.508i | −0.213369 | + | 0.443065i | ||||
\(519\) | 427.052 | − | 626.370i | 0.822836 | − | 1.20688i | ||||
\(520\) | −42.4435 | − | 53.2225i | −0.0816222 | − | 0.102351i | ||||
\(521\) | −590.045 | − | 635.917i | −1.13252 | − | 1.22057i | −0.972362 | − | 0.233479i | \(-0.924989\pi\) |
−0.160162 | − | 0.987091i | \(-0.551202\pi\) | |||||||
\(522\) | 47.8276 | + | 82.8398i | 0.0916238 | + | 0.158697i | ||||
\(523\) | 562.542 | + | 324.784i | 1.07561 | + | 0.621001i | 0.929708 | − | 0.368299i | \(-0.120060\pi\) |
0.145898 | + | 0.989300i | \(0.453393\pi\) | |||||||
\(524\) | −151.440 | + | 34.5651i | −0.289007 | + | 0.0659640i | ||||
\(525\) | 45.6059 | + | 116.202i | 0.0868684 | + | 0.221337i | ||||
\(526\) | 656.339 | − | 202.454i | 1.24779 | − | 0.384893i | ||||
\(527\) | −281.210 | + | 352.626i | −0.533605 | + | 0.669119i | ||||
\(528\) | −502.200 | + | 37.6347i | −0.951137 | + | 0.0712778i | ||||
\(529\) | 404.336 | + | 124.721i | 0.764339 | + | 0.235767i | ||||
\(530\) | −168.383 | + | 114.802i | −0.317704 | + | 0.216607i | ||||
\(531\) | 43.7182 | − | 6.58946i | 0.0823318 | − | 0.0124095i | ||||
\(532\) | −17.5743 | + | 76.9979i | −0.0330343 | + | 0.144733i | ||||
\(533\) | 383.246 | + | 355.601i | 0.719036 | + | 0.667168i | ||||
\(534\) | −1427.62 | − | 106.986i | −2.67345 | − | 0.200348i | ||||
\(535\) | −172.472 | − | 67.6902i | −0.322377 | − | 0.126524i | ||||
\(536\) | −34.4486 | + | 228.552i | −0.0642698 | + | 0.426403i | ||||
\(537\) | 489.502 | − | 235.732i | 0.911549 | − | 0.438979i | ||||
\(538\) | −331.502 | − | 688.371i | −0.616175 | − | 1.27950i | ||||
\(539\) | 634.463 | + | 95.6299i | 1.17711 | + | 0.177421i | ||||
\(540\) | 84.3138 | − | 214.828i | 0.156137 | − | 0.397830i | ||||
\(541\) | −61.1913 | + | 816.541i | −0.113108 | + | 1.50932i | 0.595294 | + | 0.803508i | \(0.297036\pi\) |
−0.708402 | + | 0.705810i | \(0.750583\pi\) | |||||||
\(542\) | 207.218 | − | 223.328i | 0.382322 | − | 0.412045i | ||||
\(543\) | −215.385 | − | 49.1603i | −0.396658 | − | 0.0905346i | ||||
\(544\) | 90.2851 | + | 599.002i | 0.165965 | + | 1.10111i | ||||
\(545\) | −187.924 | − | 275.634i | −0.344814 | − | 0.505750i | ||||
\(546\) | 89.4796 | − | 290.086i | 0.163882 | − | 0.531293i | ||||
\(547\) | −72.6679 | − | 969.686i | −0.132848 | − | 1.77273i | −0.523336 | − | 0.852126i | \(-0.675313\pi\) |
0.390488 | − | 0.920608i | \(-0.372306\pi\) | |||||||
\(548\) | 29.8979 | + | 23.8428i | 0.0545582 | + | 0.0435087i | ||||
\(549\) | −10.8194 | − | 35.0756i | −0.0197075 | − | 0.0638900i | ||||
\(550\) | −865.207 | + | 339.569i | −1.57310 | + | 0.617397i | ||||
\(551\) | 58.2905 | + | 255.387i | 0.105790 | + | 0.463498i | ||||
\(552\) | −95.0756 | + | 164.676i | −0.172238 | + | 0.298326i | ||||
\(553\) | 121.785 | − | 70.3127i | 0.220226 | − | 0.127148i | ||||
\(554\) | 371.700 | − | 344.887i | 0.670938 | − | 0.622540i | ||||
\(555\) | 163.170 | − | 130.124i | 0.294000 | − | 0.234457i | ||||
\(556\) | 63.6980 | + | 43.4286i | 0.114565 | + | 0.0781089i | ||||
\(557\) | −206.987 | − | 99.6795i | −0.371610 | − | 0.178958i | 0.238752 | − | 0.971081i | \(-0.423262\pi\) |
−0.610362 | + | 0.792123i | \(0.708976\pi\) | |||||||
\(558\) | − | 103.221i | − | 0.184983i | ||||||
\(559\) | 658.746 | + | 417.084i | 1.17844 | + | 0.746126i | ||||
\(560\) | −43.1378 | −0.0770319 | ||||||||
\(561\) | 231.748 | − | 481.230i | 0.413099 | − | 0.857808i | ||||
\(562\) | 653.859 | − | 959.035i | 1.16345 | − | 1.70647i | ||||
\(563\) | −422.739 | − | 530.098i | −0.750868 | − | 0.941559i | 0.248767 | − | 0.968563i | \(-0.419975\pi\) |
−0.999635 | + | 0.0270043i | \(0.991403\pi\) | |||||||
\(564\) | −125.015 | − | 134.734i | −0.221657 | − | 0.238890i | ||||
\(565\) | −115.789 | − | 200.552i | −0.204936 | − | 0.354959i | ||||
\(566\) | 269.190 | + | 155.417i | 0.475601 | + | 0.274589i | ||||
\(567\) | 138.265 | − | 31.5582i | 0.243854 | − | 0.0556582i | ||||
\(568\) | 28.6361 | + | 72.9635i | 0.0504156 | + | 0.128457i | ||||
\(569\) | −359.044 | + | 110.750i | −0.631009 | + | 0.194640i | −0.593730 | − | 0.804664i | \(-0.702345\pi\) |
−0.0372790 | + | 0.999305i | \(0.511869\pi\) | |||||||
\(570\) | 74.4014 | − | 93.2964i | 0.130529 | − | 0.163678i | ||||
\(571\) | 605.095 | − | 45.3456i | 1.05971 | − | 0.0794144i | 0.466548 | − | 0.884496i | \(-0.345498\pi\) |
0.593164 | + | 0.805082i | \(0.297879\pi\) | |||||||
\(572\) | 1171.19 | + | 361.264i | 2.04753 | + | 0.631581i | ||||
\(573\) | −479.047 | + | 326.609i | −0.836033 | + | 0.569998i | ||||
\(574\) | −169.046 | + | 25.4796i | −0.294505 | + | 0.0443895i | ||||
\(575\) | 151.336 | − | 663.046i | 0.263193 | − | 1.15312i | ||||
\(576\) | −63.9951 | − | 59.3788i | −0.111103 | − | 0.103088i | ||||
\(577\) | −77.7113 | − | 5.82366i | −0.134682 | − | 0.0100930i | 0.00721867 | − | 0.999974i | \(-0.497702\pi\) |
−0.141900 | + | 0.989881i | \(0.545321\pi\) | |||||||
\(578\) | 311.457 | + | 122.238i | 0.538853 | + | 0.211484i | ||||
\(579\) | −108.488 | + | 719.771i | −0.187371 | + | 1.24313i | ||||
\(580\) | 231.501 | − | 111.485i | 0.399139 | − | 0.192215i | ||||
\(581\) | −106.104 | − | 220.326i | −0.182622 | − | 0.379219i | ||||
\(582\) | −47.1263 | − | 7.10315i | −0.0809731 | − | 0.0122047i | ||||
\(583\) | 208.865 | − | 532.181i | 0.358260 | − | 0.912831i | ||||
\(584\) | −13.2197 | + | 176.405i | −0.0226365 | + | 0.302063i | ||||
\(585\) | 21.7798 | − | 23.4730i | 0.0372304 | − | 0.0401248i | ||||
\(586\) | −349.921 | − | 79.8671i | −0.597134 | − | 0.136292i | ||||
\(587\) | 165.788 | + | 1099.93i | 0.282432 | + | 1.87382i | 0.457429 | + | 0.889246i | \(0.348771\pi\) |
−0.174996 | + | 0.984569i | \(0.555991\pi\) | |||||||
\(588\) | −338.991 | − | 497.208i | −0.576515 | − | 0.845593i | ||||
\(589\) | 83.3194 | − | 270.115i | 0.141459 | − | 0.458599i | ||||
\(590\) | −16.3672 | − | 218.406i | −0.0277411 | − | 0.370179i | ||||
\(591\) | 470.154 | + | 374.935i | 0.795523 | + | 0.634408i | ||||
\(592\) | −158.320 | − | 513.260i | −0.267432 | − | 0.866994i | ||||
\(593\) | −860.687 | + | 337.795i | −1.45141 | + | 0.569637i | −0.954512 | − | 0.298172i | \(-0.903623\pi\) |
−0.496899 | + | 0.867809i | \(0.665528\pi\) | |||||||
\(594\) | 265.676 | + | 1164.00i | 0.447266 | + | 1.95960i | ||||
\(595\) | 22.8759 | − | 39.6223i | 0.0384469 | − | 0.0665921i | ||||
\(596\) | −90.9682 | + | 52.5205i | −0.152631 | + | 0.0881216i | ||||
\(597\) | 784.727 | − | 728.120i | 1.31445 | − | 1.21963i | ||||
\(598\) | −1293.08 | + | 1031.20i | −2.16234 | + | 1.72441i | ||||
\(599\) | 317.024 | + | 216.143i | 0.529255 | + | 0.360840i | 0.798274 | − | 0.602295i | \(-0.205747\pi\) |
−0.269018 | + | 0.963135i | \(0.586699\pi\) | |||||||
\(600\) | 122.372 | + | 58.9312i | 0.203953 | + | 0.0982187i | ||||
\(601\) | 644.937i | 1.07311i | 0.843866 | + | 0.536553i | \(0.180274\pi\) | ||||
−0.843866 | + | 0.536553i | \(0.819726\pi\) | |||||||
\(602\) | −240.933 | + | 83.3772i | −0.400221 | + | 0.138500i | ||||
\(603\) | −108.721 | −0.180301 | ||||||||
\(604\) | 69.7871 | − | 144.914i | 0.115542 | − | 0.239924i | ||||
\(605\) | −79.9601 | + | 117.280i | −0.132166 | + | 0.193851i | ||||
\(606\) | 201.321 | + | 252.448i | 0.332213 | + | 0.416581i | ||||
\(607\) | 320.428 | + | 345.340i | 0.527889 | + | 0.568929i | 0.939552 | − | 0.342408i | \(-0.111242\pi\) |
−0.411663 | + | 0.911336i | \(0.635052\pi\) | |||||||
\(608\) | −189.828 | − | 328.792i | −0.312217 | − | 0.540776i | ||||
\(609\) | 154.614 | + | 89.2663i | 0.253881 | + | 0.146578i | ||||
\(610\) | −177.278 | + | 40.4624i | −0.290619 | + | 0.0663319i | ||||
\(611\) | −91.0013 | − | 231.867i | −0.148938 | − | 0.379488i | ||||
\(612\) | 61.6294 | − | 19.0102i | 0.100702 | − | 0.0310624i | ||||
\(613\) | 322.521 | − | 404.429i | 0.526135 | − | 0.659753i | −0.445764 | − | 0.895151i | \(-0.647068\pi\) |
0.971899 | + | 0.235398i | \(0.0756393\pi\) | |||||||
\(614\) | 534.684 | − | 40.0690i | 0.870821 | − | 0.0652590i | ||||
\(615\) | 133.840 | + | 41.2842i | 0.217626 | + | 0.0671288i | ||||
\(616\) | −51.5945 | + | 35.1765i | −0.0837573 | + | 0.0571047i | ||||
\(617\) | −365.523 | + | 55.0937i | −0.592420 | + | 0.0892929i | −0.438408 | − | 0.898776i | \(-0.644457\pi\) |
−0.154012 | + | 0.988069i | \(0.549219\pi\) | |||||||
\(618\) | −66.9351 | + | 293.262i | −0.108309 | + | 0.474533i | ||||
\(619\) | −400.459 | − | 371.572i | −0.646946 | − | 0.600278i | 0.286897 | − | 0.957961i | \(-0.407376\pi\) |
−0.933843 | + | 0.357683i | \(0.883567\pi\) | |||||||
\(620\) | −276.493 | − | 20.7203i | −0.445956 | − | 0.0334198i | ||||
\(621\) | −813.232 | − | 319.170i | −1.30955 | − | 0.513961i | ||||
\(622\) | 82.8840 | − | 549.899i | 0.133254 | − | 0.884083i | ||||
\(623\) | 309.942 | − | 149.260i | 0.497499 | − | 0.239583i | ||||
\(624\) | 277.730 | + | 576.711i | 0.445079 | + | 0.924217i | ||||
\(625\) | −407.200 | − | 61.3755i | −0.651520 | − | 0.0982008i | ||||
\(626\) | −359.989 | + | 917.238i | −0.575063 | + | 1.46524i | ||||
\(627\) | −25.0163 | + | 333.819i | −0.0398984 | + | 0.532407i | ||||
\(628\) | 287.774 | − | 310.146i | 0.458238 | − | 0.493863i | ||||
\(629\) | 555.388 | + | 126.764i | 0.882970 | + | 0.201532i | ||||
\(630\) | 1.56057 | + | 10.3537i | 0.00247710 | + | 0.0164345i | ||||
\(631\) | −95.0406 | − | 139.399i | −0.150619 | − | 0.220918i | 0.743512 | − | 0.668722i | \(-0.233158\pi\) |
−0.894131 | + | 0.447805i | \(0.852206\pi\) | |||||||
\(632\) | 45.0998 | − | 146.210i | 0.0713605 | − | 0.231345i | ||||
\(633\) | 58.1513 | + | 775.975i | 0.0918661 | + | 1.22587i | ||||
\(634\) | −1386.46 | − | 1105.66i | −2.18684 | − | 1.74395i | ||||
\(635\) | −10.5071 | − | 34.0632i | −0.0165466 | − | 0.0536428i | ||||
\(636\) | −499.123 | + | 195.891i | −0.784785 | + | 0.308005i | ||||
\(637\) | −181.472 | − | 795.083i | −0.284886 | − | 1.24817i | ||||
\(638\) | −664.651 | + | 1151.21i | −1.04177 | + | 1.80440i | ||||
\(639\) | −31.9299 | + | 18.4347i | −0.0499686 | + | 0.0288494i | ||||
\(640\) | −86.5678 | + | 80.3232i | −0.135262 | + | 0.125505i | ||||
\(641\) | −203.252 | + | 162.088i | −0.317085 | + | 0.252867i | −0.769079 | − | 0.639154i | \(-0.779285\pi\) |
0.451993 | + | 0.892021i | \(0.350713\pi\) | |||||||
\(642\) | −742.785 | − | 506.423i | −1.15699 | − | 0.788820i | ||||
\(643\) | −162.667 | − | 78.3363i | −0.252981 | − | 0.121829i | 0.303096 | − | 0.952960i | \(-0.401980\pi\) |
−0.556077 | + | 0.831131i | \(0.687694\pi\) | |||||||
\(644\) | − | 293.255i | − | 0.455365i | ||||||
\(645\) | 207.485 | + | 24.1009i | 0.321683 | + | 0.0373657i | ||||
\(646\) | 325.723 | 0.504215 | ||||||||
\(647\) | −133.163 | + | 276.516i | −0.205816 | + | 0.427382i | −0.978169 | − | 0.207812i | \(-0.933366\pi\) |
0.772352 | + | 0.635194i | \(0.219080\pi\) | |||||||
\(648\) | 86.9253 | − | 127.496i | 0.134144 | − | 0.196753i | ||||
\(649\) | 383.076 | + | 480.362i | 0.590256 | + | 0.740157i | ||||
\(650\) | 803.534 | + | 866.003i | 1.23621 | + | 1.33231i | ||||
\(651\) | −96.3263 | − | 166.842i | −0.147967 | − | 0.256286i | ||||
\(652\) | 931.999 | + | 538.090i | 1.42945 | + | 0.825291i | ||||
\(653\) | 329.004 | − | 75.0930i | 0.503834 | − | 0.114997i | 0.0369532 | − | 0.999317i | \(-0.488235\pi\) |
0.466881 | + | 0.884320i | \(0.345378\pi\) | |||||||
\(654\) | −591.364 | − | 1506.77i | −0.904227 | − | 2.30393i | ||||
\(655\) | −53.8912 | + | 16.6232i | −0.0822766 | + | 0.0253790i | ||||
\(656\) | 224.749 | − | 281.827i | 0.342606 | − | 0.429614i | ||||
\(657\) | −82.9780 | + | 6.21834i | −0.126298 | + | 0.00946475i | ||||
\(658\) | 77.8310 | + | 24.0077i | 0.118284 | + | 0.0364858i | ||||
\(659\) | 334.501 | − | 228.059i | 0.507589 | − | 0.346068i | −0.282292 | − | 0.959329i | \(-0.591095\pi\) |
0.789881 | + | 0.613260i | \(0.210142\pi\) | |||||||
\(660\) | 324.687 | − | 48.9387i | 0.491950 | − | 0.0741495i | ||||
\(661\) | −6.46345 | + | 28.3182i | −0.00977829 | + | 0.0428415i | −0.979582 | − | 0.201046i | \(-0.935566\pi\) |
0.969803 | + | 0.243888i | \(0.0784229\pi\) | |||||||
\(662\) | −79.7991 | − | 74.0428i | −0.120542 | − | 0.111847i | ||||
\(663\) | −676.991 | − | 50.7335i | −1.02110 | − | 0.0765211i | ||||
\(664\) | −247.684 | − | 97.2086i | −0.373017 | − | 0.146399i | ||||
\(665\) | −4.27368 | + | 28.3540i | −0.00642659 | + | 0.0426376i | ||||
\(666\) | −117.463 | + | 56.5670i | −0.176370 | + | 0.0849354i | ||||
\(667\) | −422.026 | − | 876.347i | −0.632723 | − | 1.31386i | ||||
\(668\) | −1225.04 | − | 184.645i | −1.83389 | − | 0.276414i | ||||
\(669\) | 92.2985 | − | 235.173i | 0.137965 | − | 0.351529i | ||||
\(670\) | −40.2485 | + | 537.079i | −0.0600724 | + | 0.801611i | ||||
\(671\) | 346.957 | − | 373.931i | 0.517075 | − | 0.557274i | ||||
\(672\) | −252.263 | − | 57.5773i | −0.375391 | − | 0.0856806i | ||||
\(673\) | 31.5693 | + | 209.449i | 0.0469083 | + | 0.311216i | 0.999965 | + | 0.00842296i | \(0.00268114\pi\) |
−0.953056 | + | 0.302793i | \(0.902081\pi\) | |||||||
\(674\) | 701.648 | + | 1029.13i | 1.04102 | + | 1.52690i | ||||
\(675\) | −183.932 | + | 596.294i | −0.272493 | + | 0.883399i | ||||
\(676\) | −56.5751 | − | 754.943i | −0.0836910 | − | 1.11678i | ||||
\(677\) | 175.514 | + | 139.967i | 0.259252 | + | 0.206747i | 0.744487 | − | 0.667637i | \(-0.232694\pi\) |
−0.485235 | + | 0.874384i | \(0.661266\pi\) | |||||||
\(678\) | −331.198 | − | 1073.72i | −0.488493 | − | 1.58365i | ||||
\(679\) | 10.6604 | − | 4.18390i | 0.0157002 | − | 0.00616185i | ||||
\(680\) | −11.0772 | − | 48.5323i | −0.0162900 | − | 0.0713710i | ||||
\(681\) | −339.744 | + | 588.453i | −0.498889 | + | 0.864101i | ||||
\(682\) | 1242.26 | − | 717.219i | 1.82149 | − | 1.05164i | ||||
\(683\) | −12.8551 | + | 11.9278i | −0.0188216 | + | 0.0174639i | −0.689527 | − | 0.724260i | \(-0.742182\pi\) |
0.670706 | + | 0.741723i | \(0.265991\pi\) | |||||||
\(684\) | −31.6025 | + | 25.2021i | −0.0462025 | + | 0.0368452i | ||||
\(685\) | 11.4715 | + | 7.82112i | 0.0167467 | + | 0.0114177i | ||||
\(686\) | 502.020 | + | 241.760i | 0.731807 | + | 0.352420i | ||||
\(687\) | − | 1207.74i | − | 1.75799i | ||||||
\(688\) | 252.828 | − | 474.417i | 0.367482 | − | 0.689560i | ||||
\(689\) | −726.648 | −1.05464 | ||||||||
\(690\) | −192.249 | + | 399.209i | −0.278622 | + | 0.578564i | ||||
\(691\) | 277.993 | − | 407.741i | 0.402305 | − | 0.590073i | −0.570614 | − | 0.821218i | \(-0.693295\pi\) |
0.972919 | + | 0.231145i | \(0.0742472\pi\) | |||||||
\(692\) | 793.142 | + | 994.569i | 1.14616 | + | 1.43724i | ||||
\(693\) | −19.9788 | − | 21.5320i | −0.0288294 | − | 0.0310707i | ||||
\(694\) | 309.791 | + | 536.574i | 0.446385 | + | 0.773162i | ||||
\(695\) | 24.2402 | + | 13.9951i | 0.0348780 | + | 0.0201369i | ||||
\(696\) | 189.382 | − | 43.2253i | 0.272101 | − | 0.0621053i | ||||
\(697\) | 139.675 | + | 355.885i | 0.200394 | + | 0.510596i | ||||
\(698\) | −1113.60 | + | 343.500i | −1.59541 | + | 0.492120i | ||||
\(699\) | −371.311 | + | 465.609i | −0.531203 | + | 0.666107i | ||||
\(700\) | −208.883 | + | 15.6536i | −0.298404 | + | 0.0223623i | ||||
\(701\) | 580.514 | + | 179.065i | 0.828123 | + | 0.255442i | 0.679708 | − | 0.733483i | \(-0.262107\pi\) |
0.148415 | + | 0.988925i | \(0.452583\pi\) | |||||||
\(702\) | 1253.84 | − | 854.855i | 1.78610 | − | 1.21774i | ||||
\(703\) | −353.045 | + | 53.2130i | −0.502198 | + | 0.0756941i | ||||
\(704\) | 269.959 | − | 1182.77i | 0.383465 | − | 1.68007i | ||||
\(705\) | −48.9174 | − | 45.3887i | −0.0693863 | − | 0.0643811i | ||||
\(706\) | −914.674 | − | 68.5453i | −1.29557 | − | 0.0970897i | ||||
\(707\) | −72.2256 | − | 28.3465i | −0.102158 | − | 0.0400940i | ||||
\(708\) | 85.8843 | − | 569.805i | 0.121306 | − | 0.804809i | ||||
\(709\) | 153.273 | − | 73.8123i | 0.216182 | − | 0.104108i | −0.322659 | − | 0.946515i | \(-0.604577\pi\) |
0.538841 | + | 0.842408i | \(0.318862\pi\) | |||||||
\(710\) | 79.2465 | + | 164.557i | 0.111615 | + | 0.231771i | ||||
\(711\) | 71.1685 | + | 10.7269i | 0.100096 | + | 0.0150871i | ||||
\(712\) | 136.747 | − | 348.427i | 0.192061 | − | 0.489363i | ||||
\(713\) | −78.4367 | + | 1046.67i | −0.110009 | + | 1.46797i | ||||
\(714\) | 150.993 | − | 162.732i | 0.211475 | − | 0.227916i | ||||
\(715\) | 433.833 | + | 99.0195i | 0.606759 | + | 0.138489i | ||||
\(716\) | 135.878 | + | 901.494i | 0.189774 | + | 1.25907i | ||||
\(717\) | 489.690 | + | 718.243i | 0.682971 | + | 1.00173i | ||||
\(718\) | 37.2389 | − | 120.726i | 0.0518648 | − | 0.168142i | ||||
\(719\) | 59.4084 | + | 792.750i | 0.0826265 | + | 1.10257i | 0.872275 | + | 0.489015i | \(0.162644\pi\) |
−0.789649 | + | 0.613559i | \(0.789737\pi\) | |||||||
\(720\) | −17.2613 | − | 13.7654i | −0.0239740 | − | 0.0191186i | ||||
\(721\) | −21.3052 | − | 69.0697i | −0.0295495 | − | 0.0957971i | ||||
\(722\) | 803.339 | − | 315.287i | 1.11266 | − | 0.436686i | ||||
\(723\) | −127.051 | − | 556.648i | −0.175728 | − | 0.769915i | ||||
\(724\) | 185.357 | − | 321.048i | 0.256018 | − | 0.443437i | ||||
\(725\) | −601.686 | + | 347.384i | −0.829912 | + | 0.479150i | ||||
\(726\) | −504.874 | + | 468.455i | −0.695419 | + | 0.645254i | ||||
\(727\) | −970.733 | + | 774.134i | −1.33526 | + | 1.06483i | −0.343173 | + | 0.939272i | \(0.611502\pi\) |
−0.992086 | + | 0.125561i | \(0.959927\pi\) | |||||||
\(728\) | 65.5781 | + | 44.7104i | 0.0900798 | + | 0.0614154i | ||||
\(729\) | 713.658 | + | 343.679i | 0.978954 | + | 0.471439i | ||||
\(730\) | 412.210i | 0.564672i | ||||||||
\(731\) | 301.680 | + | 483.806i | 0.412695 | + | 0.661841i | ||||
\(732\) | −478.416 | −0.653573 | ||||||||
\(733\) | 595.913 | − | 1237.43i | 0.812978 | − | 1.68817i | 0.0914204 | − | 0.995812i | \(-0.470859\pi\) |
0.721558 | − | 0.692354i | \(-0.243426\pi\) | |||||||
\(734\) | 273.307 | − | 400.868i | 0.372353 | − | 0.546142i | ||||
\(735\) | −136.222 | − | 170.817i | −0.185337 | − | 0.232405i | ||||
\(736\) | 958.846 | + | 1033.39i | 1.30278 | + | 1.40406i | ||||
\(737\) | −755.440 | − | 1308.46i | −1.02502 | − | 1.77539i | ||||
\(738\) | −75.7732 | − | 43.7477i | −0.102674 | − | 0.0592787i | ||||
\(739\) | −722.975 | + | 165.014i | −0.978315 | + | 0.223294i | −0.681642 | − | 0.731685i | \(-0.738734\pi\) |
−0.296672 | + | 0.954979i | \(0.595877\pi\) | |||||||
\(740\) | 127.945 | + | 325.998i | 0.172898 | + | 0.440537i | ||||
\(741\) | 406.581 | − | 125.414i | 0.548692 | − | 0.169249i | ||||
\(742\) | 148.147 | − | 185.771i | 0.199659 | − | 0.250365i | ||||
\(743\) | −277.027 | + | 20.7603i | −0.372850 | + | 0.0279412i | −0.259837 | − | 0.965652i | \(-0.583669\pi\) |
−0.113012 | + | 0.993594i | \(0.536050\pi\) | |||||||
\(744\) | −200.303 | − | 61.7854i | −0.269225 | − | 0.0830449i | ||||
\(745\) | −31.5102 | + | 21.4833i | −0.0422955 | + | 0.0288366i | ||||
\(746\) | 1192.47 | − | 179.736i | 1.59848 | − | 0.240932i | ||||
\(747\) | 27.8503 | − | 122.020i | 0.0372828 | − | 0.163347i | ||||
\(748\) | 657.014 | + | 609.620i | 0.878360 | + | 0.814999i | ||||
\(749\) | 215.418 | + | 16.1434i | 0.287608 | + | 0.0215532i | ||||
\(750\) | 628.789 | + | 246.781i | 0.838385 | + | 0.329042i | ||||
\(751\) | −13.2197 | + | 87.7067i | −0.0176027 | + | 0.116787i | −0.995907 | − | 0.0903889i | \(-0.971189\pi\) |
0.978304 | + | 0.207175i | \(0.0664271\pi\) | |||||||
\(752\) | −154.734 | + | 74.5158i | −0.205763 | + | 0.0990901i | ||||
\(753\) | 219.804 | + | 456.428i | 0.291904 | + | 0.606146i | ||||
\(754\) | 1670.71 | + | 251.819i | 2.21580 | + | 0.333978i | ||||
\(755\) | 21.3347 | − | 54.3599i | 0.0282579 | − | 0.0719999i | ||||
\(756\) | −20.1079 | + | 268.321i | −0.0265978 | + | 0.354922i | ||||
\(757\) | −483.171 | + | 520.735i | −0.638271 | + | 0.687893i | −0.966489 | − | 0.256709i | \(-0.917362\pi\) |
0.328217 | + | 0.944602i | \(0.393552\pi\) | |||||||
\(758\) | 143.122 | + | 32.6667i | 0.188815 | + | 0.0430959i | ||||
\(759\) | −185.258 | − | 1229.10i | −0.244081 | − | 1.61937i | ||||
\(760\) | 17.5751 | + | 25.7779i | 0.0231251 | + | 0.0339183i | ||||
\(761\) | 182.737 | − | 592.418i | 0.240127 | − | 0.778473i | −0.752642 | − | 0.658430i | \(-0.771221\pi\) |
0.992769 | − | 0.120042i | \(-0.0383030\pi\) | |||||||
\(762\) | −12.9255 | − | 172.479i | −0.0169626 | − | 0.226350i | ||||
\(763\) | 304.096 | + | 242.509i | 0.398553 | + | 0.317836i | ||||
\(764\) | −286.768 | − | 929.679i | −0.375351 | − | 1.21686i | ||||
\(765\) | 21.7972 | − | 8.55478i | 0.0284931 | − | 0.0111827i | ||||
\(766\) | −30.0439 | − | 131.631i | −0.0392218 | − | 0.171842i | ||||
\(767\) | 390.464 | − | 676.304i | 0.509080 | − | 0.881752i | ||||
\(768\) | 335.625 | − | 193.773i | 0.437012 | − | 0.252309i | ||||
\(769\) | −859.149 | + | 797.174i | −1.11723 | + | 1.03664i | −0.118181 | + | 0.992992i | \(0.537706\pi\) |
−0.999047 | + | 0.0436446i | \(0.986103\pi\) | |||||||
\(770\) | −113.763 | + | 90.7233i | −0.147745 | + | 0.117822i | ||||
\(771\) | −427.787 | − | 291.661i | −0.554848 | − | 0.378289i | ||||
\(772\) | −1100.47 | − | 529.959i | −1.42548 | − | 0.686475i | ||||
\(773\) | 99.2228i | 0.128361i | 0.997938 | + | 0.0641804i | \(0.0204433\pi\) | ||||
−0.997938 | + | 0.0641804i | \(0.979557\pi\) | |||||||
\(774\) | −123.013 | − | 43.5197i | −0.158932 | − | 0.0562270i | ||||
\(775\) | 749.717 | 0.967376 | ||||||||
\(776\) | 5.40637 | − | 11.2264i | 0.00696697 | − | 0.0144671i | ||||
\(777\) | −137.074 | + | 201.050i | −0.176414 | + | 0.258752i | ||||
\(778\) | 185.380 | + | 232.459i | 0.238278 | + | 0.298791i | ||||
\(779\) | −162.976 | − | 175.646i | −0.209211 | − | 0.225476i | ||||
\(780\) | −208.674 | − | 361.434i | −0.267531 | − | 0.463377i | ||||
\(781\) | −443.724 | − | 256.184i | −0.568149 | − | 0.328021i | ||||
\(782\) | −1179.13 | + | 269.128i | −1.50783 | + | 0.344153i | ||||
\(783\) | 326.055 | + | 830.773i | 0.416417 | + | 1.06101i | ||||
\(784\) | −537.316 | + | 165.740i | −0.685352 | + | 0.211403i | ||||
\(785\) | 95.7739 | − | 120.097i | 0.122005 | − | 0.152989i | ||||
\(786\) | −272.878 | + | 20.4493i | −0.347172 | + | 0.0260170i | ||||
\(787\) | −960.811 | − | 296.371i | −1.22085 | − | 0.376583i | −0.383652 | − | 0.923478i | \(-0.625334\pi\) |
−0.837201 | + | 0.546895i | \(0.815810\pi\) | |||||||
\(788\) | −833.737 | + | 568.432i | −1.05804 | + | 0.721360i | ||||
\(789\) | 648.779 | − | 97.7878i | 0.822281 | − | 0.123939i | ||||
\(790\) | 79.3371 | − | 347.599i | 0.100427 | − | 0.439998i | ||||
\(791\) | 197.926 | + | 183.648i | 0.250222 | + | 0.232172i | ||||
\(792\) | −31.8701 | − | 2.38833i | −0.0402400 | − | 0.00301557i | ||||
\(793\) | −603.536 | − | 236.870i | −0.761080 | − | 0.298702i | ||||
\(794\) | −250.467 | + | 1661.74i | −0.315449 | + | 2.09287i | ||||
\(795\) | −175.393 | + | 84.4649i | −0.220620 | + | 0.106245i | ||||
\(796\) | 779.388 | + | 1618.42i | 0.979131 | + | 2.03319i | ||||
\(797\) | −419.276 | − | 63.1956i | −0.526067 | − | 0.0792919i | −0.119361 | − | 0.992851i | \(-0.538085\pi\) |
−0.406706 | + | 0.913559i | \(0.633323\pi\) | |||||||
\(798\) | −50.8301 | + | 129.513i | −0.0636969 | + | 0.162297i | ||||
\(799\) | 13.6120 | − | 181.639i | 0.0170362 | − | 0.227333i | ||||
\(800\) | 684.892 | − | 738.138i | 0.856115 | − | 0.922673i | ||||
\(801\) | 171.651 | + | 39.1781i | 0.214295 | + | 0.0489115i | ||||
\(802\) | −73.8414 | − | 489.905i | −0.0920715 | − | 0.610855i | ||||
\(803\) | −651.403 | − | 955.432i | −0.811211 | − | 1.18983i | ||||
\(804\) | −417.677 | + | 1354.07i | −0.519498 | + | 1.68417i | ||||
\(805\) | −7.95660 | − | 106.173i | −0.00988397 | − | 0.131892i | ||||
\(806\) | −1425.44 | − | 1136.75i | −1.76854 | − | 1.41037i | ||||
\(807\) | −215.122 | − | 697.408i | −0.266570 | − | 0.864199i | ||||
\(808\) | −78.5852 | + | 30.8424i | −0.0972589 | + | 0.0381713i | ||||
\(809\) | −19.1857 | − | 84.0578i | −0.0237153 | − | 0.103903i | 0.961685 | − | 0.274156i | \(-0.0883986\pi\) |
−0.985400 | + | 0.170253i | \(0.945541\pi\) | |||||||
\(810\) | 179.785 | − | 311.396i | 0.221956 | − | 0.384440i | ||||
\(811\) | 363.257 | − | 209.726i | 0.447912 | − | 0.258602i | −0.259036 | − | 0.965868i | \(-0.583405\pi\) |
0.706948 | + | 0.707265i | \(0.250071\pi\) | |||||||
\(812\) | −219.608 | + | 203.767i | −0.270453 | + | 0.250944i | ||||
\(813\) | 227.527 | − | 181.447i | 0.279861 | − | 0.223182i | ||||
\(814\) | −1496.96 | − | 1020.61i | −1.83902 | − | 1.25382i | ||||
\(815\) | 352.031 | + | 169.529i | 0.431940 | + | 0.208011i | ||||
\(816\) | 468.085i | 0.573634i | ||||||||
\(817\) | −286.781 | − | 213.182i | −0.351018 | − | 0.260932i | ||||
\(818\) | −258.223 | −0.315676 | ||||||||
\(819\) | −16.1987 | + | 33.6368i | −0.0197786 | + | 0.0410706i | ||||
\(820\) | −132.396 | + | 194.189i | −0.161458 | + | 0.236816i | ||||
\(821\) | 434.302 | + | 544.598i | 0.528992 | + | 0.663335i | 0.972491 | − | 0.232940i | \(-0.0748346\pi\) |
−0.443499 | + | 0.896275i | \(0.646263\pi\) | |||||||
\(822\) | 45.8208 | + | 49.3831i | 0.0557431 | + | 0.0600768i | ||||
\(823\) | −17.9620 | − | 31.1111i | −0.0218251 | − | 0.0378021i | 0.854907 | − | 0.518782i | \(-0.173614\pi\) |
−0.876732 | + | 0.480980i | \(0.840281\pi\) | |||||||
\(824\) | −68.1089 | − | 39.3227i | −0.0826565 | − | 0.0477217i | ||||
\(825\) | −865.590 | + | 197.565i | −1.04920 | + | 0.239473i | ||||
\(826\) | 93.2931 | + | 237.707i | 0.112946 | + | 0.287781i | ||||
\(827\) | 84.3021 | − | 26.0037i | 0.101937 | − | 0.0314435i | −0.243367 | − | 0.969934i | \(-0.578252\pi\) |
0.345304 | + | 0.938491i | \(0.387776\pi\) | |||||||
\(828\) | 93.5787 | − | 117.344i | 0.113018 | − | 0.141720i | ||||
\(829\) | 1413.91 | − | 105.958i | 1.70556 | − | 0.127814i | 0.814044 | − | 0.580803i | \(-0.197261\pi\) |
0.891516 | + | 0.452989i | \(0.149642\pi\) | |||||||
\(830\) | −592.464 | − | 182.751i | −0.713812 | − | 0.220182i | ||||
\(831\) | 400.197 | − | 272.850i | 0.481585 | − | 0.328339i | ||||
\(832\) | −1524.77 | + | 229.823i | −1.83266 | + | 0.276229i | ||||
\(833\) | 132.705 | − | 581.418i | 0.159310 | − | 0.697981i | ||||
\(834\) | 99.5569 | + | 92.3753i | 0.119373 | + | 0.110762i | ||||
\(835\) | −448.536 | − | 33.6132i | −0.537169 | − | 0.0402553i | ||||
\(836\) | −522.895 | − | 205.221i | −0.625472 | − | 0.245480i | ||||
\(837\) | 143.535 | − | 952.295i | 0.171488 | − | 1.13775i | ||||
\(838\) | 1618.87 | − | 779.606i | 1.93182 | − | 0.930318i | ||||
\(839\) | −534.405 | − | 1109.70i | −0.636955 | − | 1.32265i | −0.930355 | − | 0.366660i | \(-0.880501\pi\) |
0.293400 | − | 0.955990i | \(-0.405213\pi\) | |||||||
\(840\) | 21.0259 | + | 3.16914i | 0.0250308 | + | 0.00377279i | ||||
\(841\) | −55.7700 | + | 142.100i | −0.0663139 | + | 0.168965i | ||||
\(842\) | −49.1597 | + | 655.991i | −0.0583844 | + | 0.779086i | ||||
\(843\) | 754.151 | − | 812.782i | 0.894604 | − | 0.964154i | ||||
\(844\) | −1273.01 | − | 290.557i | −1.50831 | − | 0.344261i | ||||
\(845\) | −40.9662 | − | 271.793i | −0.0484807 | − | 0.321649i | ||||
\(846\) | 23.4826 | + | 34.4426i | 0.0277572 | + | 0.0407123i | ||||
\(847\) | 48.7810 | − | 158.144i | 0.0575927 | − | 0.186711i | ||||
\(848\) | 37.4408 | + | 499.613i | 0.0441519 | + | 0.589166i | ||||
\(849\) | 232.141 | + | 185.127i | 0.273429 | + | 0.218052i | ||||
\(850\) | 254.638 | + | 825.515i | 0.299574 | + | 0.971194i | ||||
\(851\) | 1234.07 | − | 484.335i | 1.45014 | − | 0.569136i | ||||
\(852\) | 106.931 | + | 468.494i | 0.125505 | + | 0.549875i | ||||
\(853\) | −445.295 | + | 771.274i | −0.522034 | + | 0.904190i | 0.477637 | + | 0.878557i | \(0.341493\pi\) |
−0.999671 | + | 0.0256328i | \(0.991840\pi\) | |||||||
\(854\) | 183.604 | − | 106.004i | 0.214993 | − | 0.124126i | ||||
\(855\) | −10.7579 | + | 9.98191i | −0.0125824 | + | 0.0116747i | ||||
\(856\) | 183.765 | − | 146.547i | 0.214678 | − | 0.171200i | ||||
\(857\) | 804.873 | + | 548.753i | 0.939175 | + | 0.640319i | 0.933082 | − | 0.359663i | \(-0.117108\pi\) |
0.00609277 | + | 0.999981i | \(0.498061\pi\) | |||||||
\(858\) | 1945.31 | + | 936.814i | 2.26726 | + | 1.09186i | ||||
\(859\) | − | 337.429i | − | 0.392817i | −0.980522 | − | 0.196408i | \(-0.937072\pi\) | ||
0.980522 | − | 0.196408i | \(-0.0629278\pi\) | |||||||
\(860\) | −141.268 | + | 320.775i | −0.164265 | + | 0.372995i | ||||
\(861\) | −163.303 | −0.189666 | ||||||||
\(862\) | −489.624 | + | 1016.71i | −0.568009 | + | 1.17948i | ||||
\(863\) | 300.429 | − | 440.648i | 0.348122 | − | 0.510601i | −0.611746 | − | 0.791054i | \(-0.709533\pi\) |
0.959868 | + | 0.280454i | \(0.0904849\pi\) | |||||||
\(864\) | −806.463 | − | 1011.27i | −0.933406 | − | 1.17045i | ||||
\(865\) | 314.143 | + | 338.565i | 0.363171 | + | 0.391405i | ||||
\(866\) | 338.996 | + | 587.157i | 0.391450 | + | 0.678011i | ||||
\(867\) | 276.789 | + | 159.804i | 0.319249 | + | 0.184319i | ||||
\(868\) | 315.169 | − | 71.9353i | 0.363098 | − | 0.0828748i | ||||
\(869\) | 365.409 | + | 931.048i | 0.420494 | + | 1.07140i | ||||
\(870\) | 432.536 | − | 133.420i | 0.497168 | − | 0.153356i | ||||
\(871\) | −1197.33 | + | 1501.41i | −1.37467 | + | 1.72378i | ||||
\(872\) | 422.018 | − | 31.6259i | 0.483966 | − | 0.0362682i | ||||
\(873\) | 5.60078 | + | 1.72761i | 0.00641555 | + | 0.00197894i | ||||
\(874\) | 626.293 | − | 426.999i | 0.716582 | − | 0.488557i | ||||
\(875\) | −160.501 | + | 24.1916i | −0.183429 | + | 0.0276475i | ||||
\(876\) | −241.332 | + | 1057.34i | −0.275493 | + | 1.20701i | ||||
\(877\) | 682.854 | + | 633.596i | 0.778625 | + | 0.722458i | 0.965636 | − | 0.259900i | \(-0.0836895\pi\) |
−0.187011 | + | 0.982358i | \(0.559880\pi\) | |||||||
\(878\) | 1587.52 | + | 118.968i | 1.80811 | + | 0.135499i | ||||
\(879\) | −319.153 | − | 125.258i | −0.363086 | − | 0.142501i | ||||
\(880\) | 45.7283 | − | 303.387i | 0.0519640 | − | 0.344758i | ||||
\(881\) | −1322.49 | + | 636.877i | −1.50112 | + | 0.722902i | −0.990578 | − | 0.136950i | \(-0.956270\pi\) |
−0.510543 | + | 0.859852i | \(0.670556\pi\) | |||||||
\(882\) | 59.2182 | + | 122.968i | 0.0671408 | + | 0.139419i | ||||
\(883\) | −1066.47 | − | 160.745i | −1.20778 | − | 0.182044i | −0.485873 | − | 0.874029i | \(-0.661498\pi\) |
−0.721912 | + | 0.691985i | \(0.756736\pi\) | |||||||
\(884\) | 416.192 | − | 1060.44i | 0.470806 | − | 1.19959i | ||||
\(885\) | 15.6346 | − | 208.629i | 0.0176662 | − | 0.235739i | ||||
\(886\) | −1283.26 | + | 1383.03i | −1.44838 | + | 1.56098i | ||||
\(887\) | 1442.02 | + | 329.131i | 1.62573 | + | 0.371061i | 0.935720 | − | 0.352743i | \(-0.114751\pi\) |
0.690005 | + | 0.723804i | \(0.257608\pi\) | |||||||
\(888\) | 39.4600 | + | 261.800i | 0.0444370 | + | 0.294820i | ||||
\(889\) | 23.4125 | + | 34.3398i | 0.0263357 | + | 0.0386274i | ||||
\(890\) | 257.083 | − | 833.444i | 0.288858 | − | 0.936453i | ||||
\(891\) | 75.3796 | + | 1005.87i | 0.0846011 | + | 1.12892i | ||||
\(892\) | 331.441 | + | 264.315i | 0.371570 | + | 0.296317i | ||||
\(893\) | 33.6489 | + | 109.087i | 0.0376807 | + | 0.122158i | ||||
\(894\) | −172.253 | + | 67.6042i | −0.192676 | + | 0.0756199i | ||||
\(895\) | 73.6543 | + | 322.701i | 0.0822953 | + | 0.360559i | ||||
\(896\) | 68.8435 | − | 119.240i | 0.0768342 | − | 0.133081i | ||||
\(897\) | −1368.21 | + | 789.936i | −1.52532 | + | 0.880643i | ||||
\(898\) | −404.962 | + | 375.750i | −0.450960 | + | 0.418430i | ||||
\(899\) | 838.311 | − | 668.531i | 0.932493 | − | 0.743638i | ||||
\(900\) | −88.5781 | − | 60.3915i | −0.0984201 | − | 0.0671017i | ||||
\(901\) | −478.751 | − | 230.554i | −0.531355 | − | 0.255887i | ||||
\(902\) | − | 1215.91i | − | 1.34801i | ||||||
\(903\) | −239.448 | + | 44.4535i | −0.265169 | + | 0.0492287i | ||||
\(904\) | 293.777 | 0.324974 | ||||||||
\(905\) | 58.3982 | − | 121.265i | 0.0645284 | − | 0.133995i | ||||
\(906\) | 159.615 | − | 234.112i | 0.176175 | − | 0.258402i | ||||
\(907\) | 0.705741 | + | 0.884971i | 0.000778105 | + | 0.000975712i | 0.782220 | − | 0.623002i | \(-0.214087\pi\) |
−0.781442 | + | 0.623978i | \(0.785516\pi\) | |||||||
\(908\) | −775.527 | − | 835.819i | −0.854104 | − | 0.920506i | ||||
\(909\) | −19.8551 | − | 34.3901i | −0.0218428 | − | 0.0378328i | ||||
\(910\) | 160.168 | + | 92.4731i | 0.176009 | + | 0.101619i | ||||
\(911\) | 492.365 | − | 112.379i | 0.540466 | − | 0.123358i | 0.0564310 | − | 0.998406i | \(-0.482028\pi\) |
0.484035 | + | 0.875049i | \(0.339171\pi\) | |||||||
\(912\) | −107.178 | − | 273.086i | −0.117520 | − | 0.299436i | ||||
\(913\) | 1662.02 | − | 512.667i | 1.82040 | − | 0.561519i | ||||
\(914\) | 1232.30 | − | 1545.26i | 1.34825 | − | 1.69066i | ||||
\(915\) | −173.211 | + | 12.9804i | −0.189302 | + | 0.0141862i | ||||
\(916\) | 1936.57 | + | 597.353i | 2.11416 | + | 0.652132i | ||||
\(917\) | 54.3288 | − | 37.0408i | 0.0592463 | − | 0.0403934i | ||||
\(918\) | 1097.33 | − | 165.395i | 1.19534 | − | 0.180169i | ||||
\(919\) | 75.0317 | − | 328.735i | 0.0816449 | − | 0.357710i | −0.917559 | − | 0.397599i | \(-0.869843\pi\) |
0.999204 | + | 0.0398895i | \(0.0127006\pi\) | |||||||
\(920\) | −84.9212 | − | 78.7954i | −0.0923057 | − | 0.0856471i | ||||
\(921\) | 510.749 | + | 38.2754i | 0.554559 | + | 0.0415585i | ||||
\(922\) | 252.683 | + | 99.1706i | 0.274059 | + | 0.107560i | ||||
\(923\) | −97.0616 | + | 643.962i | −0.105159 | + | 0.697684i | ||||
\(924\) | −344.924 | + | 166.107i | −0.373295 | + | 0.179769i | ||||
\(925\) | −410.860 | − | 853.160i | −0.444173 | − | 0.922335i | ||||
\(926\) | −2100.09 | − | 316.538i | −2.26792 | − | 0.341834i | ||||
\(927\) | 13.5152 | − | 34.4363i | 0.0145796 | − | 0.0371481i | ||||
\(928\) | 107.620 | − | 1436.09i | 0.115970 | − | 1.54751i | ||||
\(929\) | −384.940 | + | 414.867i | −0.414360 | + | 0.446574i | −0.905398 | − | 0.424565i | \(-0.860427\pi\) |
0.491038 | + | 0.871138i | \(0.336618\pi\) | |||||||
\(930\) | −476.200 | − | 108.689i | −0.512043 | − | 0.116870i | ||||
\(931\) | 55.7070 | + | 369.592i | 0.0598356 | + | 0.396983i | ||||
\(932\) | −562.937 | − | 825.676i | −0.604009 | − | 0.885919i | ||||
\(933\) | 156.579 | − | 507.616i | 0.167823 | − | 0.544069i | ||||
\(934\) | −65.2243 | − | 870.358i | −0.0698333 | − | 0.931861i | ||||
\(935\) | 254.413 | + | 202.887i | 0.272099 | + | 0.216992i | ||||
\(936\) | 11.9734 | + | 38.8167i | 0.0127921 | + | 0.0414709i | ||||
\(937\) | 253.554 | − | 99.5125i | 0.270602 | − | 0.106203i | −0.226161 | − | 0.974090i | \(-0.572617\pi\) |
0.496762 | + | 0.867887i | \(0.334522\pi\) | |||||||
\(938\) | −139.732 | − | 612.207i | −0.148968 | − | 0.652672i | ||||
\(939\) | −470.622 | + | 815.141i | −0.501195 | + | 0.868094i | ||||
\(940\) | 96.9740 | − | 55.9880i | 0.103164 | − | 0.0595617i | ||||
\(941\) | 547.726 | − | 508.216i | 0.582068 | − | 0.540080i | −0.333236 | − | 0.942843i | \(-0.608141\pi\) |
0.915304 | + | 0.402763i | \(0.131950\pi\) | |||||||
\(942\) | 582.722 | − | 464.705i | 0.618601 | − | 0.493317i | ||||
\(943\) | 735.103 | + | 501.185i | 0.779536 | + | 0.531479i | ||||
\(944\) | −485.117 | − | 233.620i | −0.513896 | − | 0.247479i | ||||
\(945\) | 97.6916i | 0.103377i | ||||||||
\(946\) | −330.989 | − | 1782.86i | −0.349882 | − | 1.88463i | ||||
\(947\) | 221.155 | 0.233532 | 0.116766 | − | 0.993159i | \(-0.462747\pi\) | ||||
0.116766 | + | 0.993159i | \(0.462747\pi\) | |||||||
\(948\) | 407.008 | − | 845.161i | 0.429334 | − | 0.891520i | ||||
\(949\) | −827.952 | + | 1214.38i | −0.872447 | + | 1.27965i | ||||
\(950\) | −337.578 | − | 423.310i | −0.355345 | − | 0.445589i | ||||
\(951\) | −1152.19 | − | 1241.76i | −1.21156 | − | 1.30575i | ||||
\(952\) | 29.0201 | + | 50.2644i | 0.0304833 | + | 0.0527987i | ||||
\(953\) | 163.034 | + | 94.1275i | 0.171074 | + | 0.0987697i | 0.583092 | − | 0.812406i | \(-0.301843\pi\) |
−0.412018 | + | 0.911176i | \(0.635176\pi\) | |||||||
\(954\) | 118.560 | − | 27.0605i | 0.124277 | − | 0.0283653i | ||||
\(955\) | −129.049 | − | 328.811i | −0.135130 | − | 0.344304i | ||||
\(956\) | −1393.88 | + | 429.956i | −1.45804 | + | 0.449745i | ||||
\(957\) | −791.706 | + | 992.768i | −0.827279 | + | 1.03737i | ||||
\(958\) | −715.766 | + | 53.6392i | −0.747146 | + | 0.0559908i | ||||
\(959\) | −15.4685 | − | 4.77140i | −0.0161298 | − | 0.00497540i | ||||
\(960\) | −341.325 | + | 232.711i | −0.355547 | + | 0.242408i | ||||
\(961\) | −193.854 | + | 29.2187i | −0.201721 | + | 0.0304045i | ||||
\(962\) | −512.427 | + | 2245.09i | −0.532668 | + | 2.33377i | ||||
\(963\) | 81.0467 | + | 75.2003i | 0.0841606 | + | 0.0780897i | ||||
\(964\) | 955.408 | + | 71.5979i | 0.991087 | + | 0.0742717i | ||||
\(965\) | −412.806 | − | 162.014i | −0.427778 | − | 0.167890i | ||||
\(966\) | 76.9966 | − | 510.839i | 0.0797066 | − | 0.528819i | ||||
\(967\) | −813.999 | + | 392.001i | −0.841777 | + | 0.405379i | −0.804519 | − | 0.593927i | \(-0.797577\pi\) |
−0.0372585 | + | 0.999306i | \(0.511863\pi\) | |||||||
\(968\) | −78.1290 | − | 162.237i | −0.0807118 | − | 0.167600i | ||||
\(969\) | 307.667 | + | 46.3734i | 0.317510 | + | 0.0478569i | ||||
\(970\) | 10.6077 | − | 27.0281i | 0.0109358 | − | 0.0278640i | ||||
\(971\) | 115.888 | − | 1546.41i | 0.119349 | − | 1.59260i | −0.540596 | − | 0.841283i | \(-0.681801\pi\) |
0.659944 | − | 0.751315i | \(-0.270580\pi\) | |||||||
\(972\) | −177.746 | + | 191.565i | −0.182867 | + | 0.197083i | ||||
\(973\) | −31.8163 | − | 7.26187i | −0.0326992 | − | 0.00746338i | ||||
\(974\) | −135.419 | − | 898.445i | −0.139034 | − | 0.922429i | ||||
\(975\) | 635.698 | + | 932.397i | 0.651998 | + | 0.956305i | ||||
\(976\) | −131.765 | + | 427.171i | −0.135005 | + | 0.437676i | ||||
\(977\) | −5.06927 | − | 67.6447i | −0.00518861 | − | 0.0692371i | 0.994008 | − | 0.109304i | \(-0.0348621\pi\) |
−0.999197 | + | 0.0400665i | \(0.987243\pi\) | |||||||
\(978\) | 1482.23 | + | 1182.04i | 1.51557 | + | 1.20863i | ||||
\(979\) | 721.190 | + | 2338.04i | 0.736659 | + | 2.38819i | ||||
\(980\) | 341.276 | − | 133.941i | 0.348241 | − | 0.136675i | ||||
\(981\) | 44.2966 | + | 194.076i | 0.0451545 | + | 0.197835i | ||||
\(982\) | 368.609 | − | 638.449i | 0.375365 | − | 0.650152i | ||||
\(983\) | 148.553 | − | 85.7671i | 0.151122 | − | 0.0872503i | −0.422532 | − | 0.906348i | \(-0.638859\pi\) |
0.573654 | + | 0.819098i | \(0.305525\pi\) | |||||||
\(984\) | −130.250 | + | 120.854i | −0.132368 | + | 0.122819i | ||||
\(985\) | −286.433 | + | 228.423i | −0.290795 | + | 0.231901i | ||||
\(986\) | 1020.85 | + | 696.003i | 1.03534 | + | 0.705885i | ||||
\(987\) | 70.0986 | + | 33.7577i | 0.0710219 | + | 0.0342023i | ||||
\(988\) | 713.969i | 0.722641i | ||||||||
\(989\) | 1214.30 | + | 534.771i | 1.22780 | + | 0.540719i | ||||
\(990\) | −74.4717 | −0.0752239 | ||||||||
\(991\) | −94.2989 | + | 195.814i | −0.0951553 | + | 0.197592i | −0.943113 | − | 0.332471i | \(-0.892118\pi\) |
0.847958 | + | 0.530063i | \(0.177832\pi\) | |||||||
\(992\) | −875.408 | + | 1283.99i | −0.882468 | + | 1.29434i | ||||
\(993\) | −64.8341 | − | 81.2994i | −0.0652911 | − | 0.0818725i | ||||
\(994\) | −144.843 | − | 156.104i | −0.145717 | − | 0.157046i | ||||
\(995\) | 326.089 | + | 564.803i | 0.327728 | + | 0.567641i | ||||
\(996\) | −1412.71 | − | 815.629i | −1.41838 | − | 0.818904i | ||||
\(997\) | 737.201 | − | 168.261i | 0.739419 | − | 0.168768i | 0.163809 | − | 0.986492i | \(-0.447622\pi\) |
0.575610 | + | 0.817724i | \(0.304765\pi\) | |||||||
\(998\) | 229.940 | + | 585.878i | 0.230401 | + | 0.587052i | ||||
\(999\) | −1162.35 | + | 358.537i | −1.16351 | + | 0.358896i |
(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 | 43.3.h.a.18.1 | yes | 72 | |
3.2 | odd | 2 | 387.3.bn.b.190.6 | 72 | |||
43.12 | odd | 42 | inner | 43.3.h.a.12.1 | ✓ | 72 | |
129.98 | even | 42 | 387.3.bn.b.55.6 | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.3.h.a.12.1 | ✓ | 72 | 43.12 | odd | 42 | inner | |
43.3.h.a.18.1 | yes | 72 | 1.1 | even | 1 | trivial | |
387.3.bn.b.55.6 | 72 | 129.98 | even | 42 | |||
387.3.bn.b.190.6 | 72 | 3.2 | odd | 2 |