Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [845,2,Mod(51,845)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(845, base_ring=CyclotomicField(26))
chi = DirichletCharacter(H, H._module([0, 19]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("845.51");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 845 = 5 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 845.w (of order \(26\), 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: | \(6.74735897080\) |
Analytic rank: | \(0\) |
Dimension: | \(744\) |
Relative dimension: | \(62\) over \(\Q(\zeta_{26})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{26}]$ |
Embedding invariants
Embedding label | 116.23 | ||
Character | \(\chi\) | \(=\) | 845.116 |
Dual form | 845.2.w.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 \(\left(\mathbb{Z}/845\mathbb{Z}\right)^\times\).
\(n\) | \(171\) | \(677\) |
\(\chi(n)\) | \(e\left(\frac{7}{26}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.611111 | − | 0.689802i | −0.432121 | − | 0.487763i | 0.491605 | − | 0.870818i | \(-0.336410\pi\) |
−0.923726 | + | 0.383055i | \(0.874872\pi\) | |||||||
\(3\) | 1.09930 | + | 2.89862i | 0.634682 | + | 1.67352i | 0.734580 | + | 0.678522i | \(0.237379\pi\) |
−0.0998975 | + | 0.994998i | \(0.531851\pi\) | |||||||
\(4\) | 0.138704 | − | 1.14233i | 0.0693518 | − | 0.571164i | ||||
\(5\) | 0.239316 | + | 0.970942i | 0.107025 | + | 0.434218i | ||||
\(6\) | 1.32768 | − | 2.52968i | 0.542022 | − | 1.03274i | ||||
\(7\) | 3.88346 | − | 2.68056i | 1.46781 | − | 1.01316i | 0.476850 | − | 0.878985i | \(-0.341778\pi\) |
0.990958 | − | 0.134170i | \(-0.0428369\pi\) | |||||||
\(8\) | −2.38961 | + | 1.64943i | −0.844854 | + | 0.583161i | ||||
\(9\) | −4.94801 | + | 4.38355i | −1.64934 | + | 1.46118i | ||||
\(10\) | 0.523509 | − | 0.758433i | 0.165548 | − | 0.239838i | ||||
\(11\) | −2.44383 | + | 2.75852i | −0.736843 | + | 0.831724i | −0.990778 | − | 0.135497i | \(-0.956737\pi\) |
0.253934 | + | 0.967221i | \(0.418275\pi\) | |||||||
\(12\) | 3.46365 | − | 0.853713i | 0.999870 | − | 0.246446i | ||||
\(13\) | −3.60318 | + | 0.130784i | −0.999342 | + | 0.0362729i | ||||
\(14\) | −4.22227 | − | 1.04070i | −1.12845 | − | 0.278138i | ||||
\(15\) | −2.55131 | + | 1.76104i | −0.658746 | + | 0.454700i | ||||
\(16\) | 0.363536 | + | 0.0896035i | 0.0908839 | + | 0.0224009i | ||||
\(17\) | 3.10375 | + | 4.49656i | 0.752770 | + | 1.09058i | 0.992797 | + | 0.119810i | \(0.0382285\pi\) |
−0.240026 | + | 0.970766i | \(0.577156\pi\) | |||||||
\(18\) | 6.04756 | + | 0.734307i | 1.42542 | + | 0.173078i | ||||
\(19\) | 4.10193i | 0.941047i | 0.882387 | + | 0.470524i | \(0.155935\pi\) | ||||
−0.882387 | + | 0.470524i | \(0.844065\pi\) | |||||||
\(20\) | 1.14233 | − | 0.138704i | 0.255432 | − | 0.0310151i | ||||
\(21\) | 12.0390 | + | 8.30993i | 2.62713 | + | 1.81338i | ||||
\(22\) | 3.39628 | 0.724090 | ||||||||
\(23\) | 6.89762 | 1.43825 | 0.719127 | − | 0.694879i | \(-0.244542\pi\) | ||||
0.719127 | + | 0.694879i | \(0.244542\pi\) | |||||||
\(24\) | −7.40797 | − | 5.11335i | −1.51215 | − | 1.04376i | ||||
\(25\) | −0.885456 | + | 0.464723i | −0.177091 | + | 0.0929446i | ||||
\(26\) | 2.29216 | + | 2.40555i | 0.449529 | + | 0.471768i | ||||
\(27\) | −9.91068 | − | 5.20152i | −1.90731 | − | 1.00103i | ||||
\(28\) | −2.52342 | − | 4.80798i | −0.476882 | − | 0.908623i | ||||
\(29\) | 0.549339 | − | 0.486672i | 0.102010 | − | 0.0903728i | −0.610576 | − | 0.791957i | \(-0.709062\pi\) |
0.712586 | + | 0.701585i | \(0.247524\pi\) | |||||||
\(30\) | 2.77391 | + | 0.683706i | 0.506444 | + | 0.124827i | ||||
\(31\) | −2.49070 | + | 4.74564i | −0.447344 | + | 0.852342i | 0.552479 | + | 0.833527i | \(0.313682\pi\) |
−0.999823 | + | 0.0188154i | \(0.994011\pi\) | |||||||
\(32\) | 2.53838 | + | 4.83648i | 0.448727 | + | 0.854977i | ||||
\(33\) | −10.6824 | − | 4.05130i | −1.85957 | − | 0.705241i | ||||
\(34\) | 1.20500 | − | 4.88887i | 0.206656 | − | 0.838434i | ||||
\(35\) | 3.53204 | + | 3.12911i | 0.597023 | + | 0.528916i | ||||
\(36\) | 4.32115 | + | 6.26026i | 0.720191 | + | 1.04338i | ||||
\(37\) | −0.151962 | + | 0.289539i | −0.0249824 | + | 0.0475999i | −0.897627 | − | 0.440755i | \(-0.854711\pi\) |
0.872645 | + | 0.488355i | \(0.162403\pi\) | |||||||
\(38\) | 2.82952 | − | 2.50673i | 0.459008 | − | 0.406646i | ||||
\(39\) | −4.34008 | − | 10.3005i | −0.694968 | − | 1.64940i | ||||
\(40\) | −2.17337 | − | 1.92544i | −0.343640 | − | 0.304438i | ||||
\(41\) | 8.86300 | − | 3.36129i | 1.38417 | − | 0.524946i | 0.453647 | − | 0.891182i | \(-0.350123\pi\) |
0.930522 | + | 0.366236i | \(0.119354\pi\) | |||||||
\(42\) | −1.62497 | − | 13.3828i | −0.250738 | − | 2.06501i | ||||
\(43\) | 1.10164 | − | 0.578187i | 0.167999 | − | 0.0881727i | −0.378628 | − | 0.925549i | \(-0.623604\pi\) |
0.546627 | + | 0.837376i | \(0.315912\pi\) | |||||||
\(44\) | 2.81216 | + | 3.17427i | 0.423949 | + | 0.478540i | ||||
\(45\) | −5.44031 | − | 3.75518i | −0.810994 | − | 0.559789i | ||||
\(46\) | −4.21521 | − | 4.75799i | −0.621499 | − | 0.701527i | ||||
\(47\) | −3.99008 | + | 0.484483i | −0.582013 | + | 0.0706691i | −0.406248 | − | 0.913763i | \(-0.633163\pi\) |
−0.175765 | + | 0.984432i | \(0.556240\pi\) | |||||||
\(48\) | 0.139909 | + | 1.15225i | 0.0201941 | + | 0.166313i | ||||
\(49\) | 5.41362 | − | 14.2745i | 0.773374 | − | 2.03922i | ||||
\(50\) | 0.861679 | + | 0.326792i | 0.121860 | + | 0.0462153i | ||||
\(51\) | −9.62187 | + | 13.9397i | −1.34733 | + | 1.95195i | ||||
\(52\) | −0.350376 | + | 4.13415i | −0.0485884 | + | 0.573303i | ||||
\(53\) | 0.318542 | + | 0.461488i | 0.0437551 | + | 0.0633902i | 0.844251 | − | 0.535948i | \(-0.180046\pi\) |
−0.800496 | + | 0.599338i | \(0.795430\pi\) | |||||||
\(54\) | 2.46850 | + | 10.0151i | 0.335921 | + | 1.36288i | ||||
\(55\) | −3.26321 | − | 1.71266i | −0.440011 | − | 0.230935i | ||||
\(56\) | −4.85856 | + | 12.8110i | −0.649252 | + | 1.71194i | ||||
\(57\) | −11.8899 | + | 4.50926i | −1.57486 | + | 0.597266i | ||||
\(58\) | −0.671415 | − | 0.0815245i | −0.0881611 | − | 0.0107047i | ||||
\(59\) | 2.25218 | + | 9.13746i | 0.293209 | + | 1.18960i | 0.914031 | + | 0.405644i | \(0.132953\pi\) |
−0.620822 | + | 0.783951i | \(0.713201\pi\) | |||||||
\(60\) | 1.65781 | + | 3.15870i | 0.214023 | + | 0.407786i | ||||
\(61\) | 5.75199 | − | 8.33319i | 0.736467 | − | 1.06696i | −0.258427 | − | 0.966031i | \(-0.583204\pi\) |
0.994894 | − | 0.100925i | \(-0.0321803\pi\) | |||||||
\(62\) | 4.79565 | − | 1.18202i | 0.609048 | − | 0.150117i | ||||
\(63\) | −7.46501 | + | 30.2868i | −0.940503 | + | 3.81577i | ||||
\(64\) | 2.05052 | − | 5.40677i | 0.256315 | − | 0.675847i | ||||
\(65\) | −0.989281 | − | 3.46718i | −0.122705 | − | 0.430051i | ||||
\(66\) | 3.73354 | + | 9.84454i | 0.459567 | + | 1.21178i | ||||
\(67\) | −3.67100 | + | 0.445740i | −0.448484 | + | 0.0544558i | −0.341663 | − | 0.939823i | \(-0.610990\pi\) |
−0.106821 | + | 0.994278i | \(0.534067\pi\) | |||||||
\(68\) | 5.56705 | − | 2.92181i | 0.675103 | − | 0.354322i | ||||
\(69\) | 7.58257 | + | 19.9936i | 0.912834 | + | 2.40695i | ||||
\(70\) | − | 4.34864i | − | 0.519762i | ||||||
\(71\) | 9.37006 | − | 3.55359i | 1.11202 | − | 0.421734i | 0.270915 | − | 0.962603i | \(-0.412674\pi\) |
0.841107 | + | 0.540869i | \(0.181905\pi\) | |||||||
\(72\) | 4.59345 | − | 18.6364i | 0.541344 | − | 2.19632i | ||||
\(73\) | −7.40634 | + | 8.36003i | −0.866846 | + | 0.978467i | −0.999920 | − | 0.0126388i | \(-0.995977\pi\) |
0.133074 | + | 0.991106i | \(0.457515\pi\) | |||||||
\(74\) | 0.292590 | − | 0.0721169i | 0.0340129 | − | 0.00838342i | ||||
\(75\) | −2.32044 | − | 2.05573i | −0.267941 | − | 0.237375i | ||||
\(76\) | 4.68574 | + | 0.568952i | 0.537492 | + | 0.0652633i | ||||
\(77\) | −2.09616 | + | 17.2634i | −0.238879 | + | 1.96735i | ||||
\(78\) | −4.45302 | + | 9.28853i | −0.504205 | + | 1.05172i | ||||
\(79\) | −0.798874 | − | 6.57932i | −0.0898803 | − | 0.740231i | −0.966073 | − | 0.258270i | \(-0.916848\pi\) |
0.876193 | − | 0.481961i | \(-0.160075\pi\) | |||||||
\(80\) | 0.374415i | 0.0418609i | ||||||||
\(81\) | 1.79201 | − | 14.7585i | 0.199112 | − | 1.63984i | ||||
\(82\) | −7.73490 | − | 4.05959i | −0.854177 | − | 0.448307i | ||||
\(83\) | −16.5282 | − | 6.26831i | −1.81420 | − | 0.688037i | −0.993102 | − | 0.117255i | \(-0.962590\pi\) |
−0.821102 | − | 0.570781i | \(-0.806640\pi\) | |||||||
\(84\) | 11.1625 | − | 12.5999i | 1.21793 | − | 1.37476i | ||||
\(85\) | −3.62312 | + | 4.08966i | −0.392983 | + | 0.443586i | ||||
\(86\) | −1.07206 | − | 0.406579i | −0.115603 | − | 0.0438426i | ||||
\(87\) | 2.01457 | + | 1.05733i | 0.215984 | + | 0.113357i | ||||
\(88\) | 1.28983 | − | 10.6227i | 0.137496 | − | 1.13238i | ||||
\(89\) | 5.15280i | 0.546196i | 0.961986 | + | 0.273098i | \(0.0880483\pi\) | ||||
−0.961986 | + | 0.273098i | \(0.911952\pi\) | |||||||
\(90\) | 0.734307 | + | 6.04756i | 0.0774028 | + | 0.637469i | ||||
\(91\) | −13.6422 | + | 10.1664i | −1.43009 | + | 1.06573i | ||||
\(92\) | 0.956725 | − | 7.87934i | 0.0997455 | − | 0.821478i | ||||
\(93\) | −16.4938 | − | 2.00272i | −1.71033 | − | 0.207672i | ||||
\(94\) | 2.77258 | + | 2.45629i | 0.285970 | + | 0.253347i | ||||
\(95\) | −3.98273 | + | 0.981656i | −0.408620 | + | 0.100716i | ||||
\(96\) | −11.2287 | + | 12.6746i | −1.14602 | + | 1.29359i | ||||
\(97\) | 3.18694 | − | 12.9299i | 0.323585 | − | 1.31284i | −0.553639 | − | 0.832757i | \(-0.686761\pi\) |
0.877225 | − | 0.480080i | \(-0.159392\pi\) | |||||||
\(98\) | −13.1549 | + | 4.98900i | −1.32885 | + | 0.503965i | ||||
\(99\) | − | 24.3618i | − | 2.44846i | ||||||
\(100\) | 0.408050 | + | 1.07594i | 0.0408050 | + | 0.107594i | ||||
\(101\) | −1.30700 | + | 0.685965i | −0.130051 | + | 0.0682561i | −0.528494 | − | 0.848937i | \(-0.677243\pi\) |
0.398443 | + | 0.917193i | \(0.369551\pi\) | |||||||
\(102\) | 15.4956 | − | 1.88151i | 1.53430 | − | 0.186297i | ||||
\(103\) | 3.39752 | + | 8.95851i | 0.334767 | + | 0.882708i | 0.991678 | + | 0.128740i | \(0.0410934\pi\) |
−0.656911 | + | 0.753968i | \(0.728137\pi\) | |||||||
\(104\) | 8.39447 | − | 6.25571i | 0.823146 | − | 0.613423i | ||||
\(105\) | −5.18733 | + | 13.6779i | −0.506232 | + | 1.33482i | ||||
\(106\) | 0.123671 | − | 0.501751i | 0.0120119 | − | 0.0487344i | ||||
\(107\) | 0.881438 | − | 0.217255i | 0.0852118 | − | 0.0210028i | −0.196479 | − | 0.980508i | \(-0.562951\pi\) |
0.281691 | + | 0.959505i | \(0.409105\pi\) | |||||||
\(108\) | −7.31649 | + | 10.5998i | −0.704030 | + | 1.01996i | ||||
\(109\) | −3.24513 | − | 6.18307i | −0.310827 | − | 0.592231i | 0.679061 | − | 0.734082i | \(-0.262387\pi\) |
−0.989888 | + | 0.141851i | \(0.954695\pi\) | |||||||
\(110\) | 0.812784 | + | 3.29759i | 0.0774959 | + | 0.314413i | ||||
\(111\) | −1.00632 | − | 0.122189i | −0.0955152 | − | 0.0115976i | ||||
\(112\) | 1.65196 | − | 0.626506i | 0.156096 | − | 0.0591993i | ||||
\(113\) | 6.49199 | − | 17.1180i | 0.610715 | − | 1.61032i | −0.170007 | − | 0.985443i | \(-0.554379\pi\) |
0.780721 | − | 0.624879i | \(-0.214852\pi\) | |||||||
\(114\) | 10.3766 | + | 5.44604i | 0.971854 | + | 0.510069i | ||||
\(115\) | 1.65071 | + | 6.69719i | 0.153929 | + | 0.624516i | ||||
\(116\) | −0.479744 | − | 0.695029i | −0.0445431 | − | 0.0645318i | ||||
\(117\) | 17.2553 | − | 16.4418i | 1.59525 | − | 1.52005i | ||||
\(118\) | 4.92670 | − | 7.13756i | 0.453540 | − | 0.657065i | ||||
\(119\) | 24.1066 | + | 9.14242i | 2.20985 | + | 0.838084i | ||||
\(120\) | 3.19192 | − | 8.41641i | 0.291382 | − | 0.768310i | ||||
\(121\) | −0.311194 | − | 2.56291i | −0.0282904 | − | 0.232992i | ||||
\(122\) | −9.26335 | + | 1.12477i | −0.838665 | + | 0.101832i | ||||
\(123\) | 19.4862 | + | 21.9954i | 1.75702 | + | 1.98326i | ||||
\(124\) | 5.07560 | + | 3.50344i | 0.455803 | + | 0.314618i | ||||
\(125\) | −0.663123 | − | 0.748511i | −0.0593115 | − | 0.0669488i | ||||
\(126\) | 25.4538 | − | 13.3592i | 2.26761 | − | 1.19013i | ||||
\(127\) | 0.438785 | + | 3.61372i | 0.0389358 | + | 0.320666i | 0.999144 | + | 0.0413786i | \(0.0131750\pi\) |
−0.960208 | + | 0.279287i | \(0.909902\pi\) | |||||||
\(128\) | 5.23167 | − | 1.98411i | 0.462419 | − | 0.175372i | ||||
\(129\) | 2.88699 | + | 2.55765i | 0.254185 | + | 0.225188i | ||||
\(130\) | −1.78710 | + | 2.80124i | −0.156739 | + | 0.245685i | ||||
\(131\) | −0.835085 | + | 0.739820i | −0.0729617 | + | 0.0646384i | −0.698815 | − | 0.715302i | \(-0.746289\pi\) |
0.625854 | + | 0.779940i | \(0.284751\pi\) | |||||||
\(132\) | −6.10960 | + | 11.6409i | −0.531773 | + | 1.01321i | ||||
\(133\) | 10.9955 | + | 15.9297i | 0.953427 | + | 1.38128i | ||||
\(134\) | 2.55086 | + | 2.25986i | 0.220361 | + | 0.195222i | ||||
\(135\) | 2.67860 | − | 10.8675i | 0.230537 | − | 0.935325i | ||||
\(136\) | −14.8335 | − | 5.62561i | −1.27196 | − | 0.482392i | ||||
\(137\) | −8.54977 | − | 16.2902i | −0.730456 | − | 1.39177i | −0.912748 | − | 0.408523i | \(-0.866044\pi\) |
0.182292 | − | 0.983244i | \(-0.441648\pi\) | |||||||
\(138\) | 9.15782 | − | 17.4488i | 0.779566 | − | 1.48534i | ||||
\(139\) | −3.02252 | − | 0.744983i | −0.256366 | − | 0.0631887i | 0.109038 | − | 0.994038i | \(-0.465223\pi\) |
−0.365404 | + | 0.930849i | \(0.619069\pi\) | |||||||
\(140\) | 4.06437 | − | 3.60072i | 0.343502 | − | 0.304317i | ||||
\(141\) | −5.79063 | − | 11.0331i | −0.487659 | − | 0.929157i | ||||
\(142\) | −8.17742 | − | 4.29184i | −0.686234 | − | 0.360163i | ||||
\(143\) | 8.44480 | − | 10.2590i | 0.706189 | − | 0.857904i | ||||
\(144\) | −2.19156 | + | 1.15022i | −0.182630 | + | 0.0958516i | ||||
\(145\) | 0.603996 | + | 0.416908i | 0.0501591 | + | 0.0346224i | ||||
\(146\) | 10.2929 | 0.851843 | ||||||||
\(147\) | 47.3277 | 3.90352 | ||||||||
\(148\) | 0.309670 | + | 0.213750i | 0.0254548 | + | 0.0175701i | ||||
\(149\) | −19.4626 | + | 2.36318i | −1.59443 | + | 0.193599i | −0.869043 | − | 0.494737i | \(-0.835264\pi\) |
−0.725392 | + | 0.688336i | \(0.758341\pi\) | |||||||
\(150\) | 2.85692i | 0.233267i | ||||||||
\(151\) | −2.73451 | − | 0.332029i | −0.222531 | − | 0.0270201i | 0.00851169 | − | 0.999964i | \(-0.497291\pi\) |
−0.231043 | + | 0.972944i | \(0.574214\pi\) | |||||||
\(152\) | −6.76584 | − | 9.80201i | −0.548782 | − | 0.795048i | ||||
\(153\) | −35.0683 | − | 8.64356i | −2.83510 | − | 0.698791i | ||||
\(154\) | 13.1893 | − | 9.10393i | 1.06283 | − | 0.733615i | ||||
\(155\) | −5.20380 | − | 1.28262i | −0.417980 | − | 0.103023i | ||||
\(156\) | −12.3685 | + | 3.52907i | −0.990273 | + | 0.282552i | ||||
\(157\) | 3.27219 | − | 0.806522i | 0.261149 | − | 0.0643675i | −0.106567 | − | 0.994306i | \(-0.533986\pi\) |
0.367716 | + | 0.929938i | \(0.380140\pi\) | |||||||
\(158\) | −4.05022 | + | 4.57176i | −0.322218 | + | 0.363709i | ||||
\(159\) | −0.987504 | + | 1.43065i | −0.0783142 | + | 0.113458i | ||||
\(160\) | −4.08847 | + | 3.62207i | −0.323222 | + | 0.286349i | ||||
\(161\) | 26.7866 | − | 18.4895i | 2.11108 | − | 1.45717i | ||||
\(162\) | −11.2756 | + | 7.78297i | −0.885893 | + | 0.611488i | ||||
\(163\) | 7.87087 | − | 14.9967i | 0.616494 | − | 1.17463i | −0.354393 | − | 0.935097i | \(-0.615313\pi\) |
0.970888 | − | 0.239535i | \(-0.0769951\pi\) | |||||||
\(164\) | −2.61037 | − | 10.5907i | −0.203835 | − | 0.826993i | ||||
\(165\) | 1.37711 | − | 11.3415i | 0.107208 | − | 0.882937i | ||||
\(166\) | 5.77666 | + | 15.2318i | 0.448356 | + | 1.18222i | ||||
\(167\) | 3.18052 | + | 3.59007i | 0.246116 | + | 0.277808i | 0.858568 | − | 0.512700i | \(-0.171355\pi\) |
−0.612451 | + | 0.790508i | \(0.709816\pi\) | |||||||
\(168\) | −42.4752 | −3.27703 | ||||||||
\(169\) | 12.9658 | − | 0.942476i | 0.997369 | − | 0.0724981i | ||||
\(170\) | 5.03518 | 0.386181 | ||||||||
\(171\) | −17.9810 | − | 20.2964i | −1.37504 | − | 1.55210i | ||||
\(172\) | −0.507677 | − | 1.33863i | −0.0387100 | − | 0.102070i | ||||
\(173\) | −0.285382 | + | 2.35034i | −0.0216972 | + | 0.178693i | −0.999529 | − | 0.0307011i | \(-0.990226\pi\) |
0.977831 | + | 0.209394i | \(0.0671491\pi\) | |||||||
\(174\) | −0.501779 | − | 2.03580i | −0.0380398 | − | 0.154333i | ||||
\(175\) | −2.19291 | + | 4.17825i | −0.165769 | + | 0.315846i | ||||
\(176\) | −1.13559 | + | 0.783843i | −0.0855985 | + | 0.0590844i | ||||
\(177\) | −24.0102 | + | 16.5730i | −1.80472 | + | 1.24571i | ||||
\(178\) | 3.55441 | − | 3.14893i | 0.266414 | − | 0.236022i | ||||
\(179\) | 9.91793 | − | 14.3686i | 0.741301 | − | 1.07396i | −0.253012 | − | 0.967463i | \(-0.581421\pi\) |
0.994313 | − | 0.106497i | \(-0.0339634\pi\) | |||||||
\(180\) | −5.04423 | + | 5.69376i | −0.375975 | + | 0.424388i | ||||
\(181\) | 22.8341 | − | 5.62811i | 1.69725 | − | 0.418334i | 0.732344 | − | 0.680935i | \(-0.238426\pi\) |
0.964905 | + | 0.262601i | \(0.0845803\pi\) | |||||||
\(182\) | 15.3497 | + | 3.19761i | 1.13780 | + | 0.237023i | ||||
\(183\) | 30.4779 | + | 7.51214i | 2.25299 | + | 0.555313i | ||||
\(184\) | −16.4826 | + | 11.3771i | −1.21512 | + | 0.838733i | ||||
\(185\) | −0.317492 | − | 0.0782548i | −0.0233425 | − | 0.00575341i | ||||
\(186\) | 8.69809 | + | 12.6014i | 0.637775 | + | 0.923977i | ||||
\(187\) | −19.9889 | − | 2.42709i | −1.46173 | − | 0.177486i | ||||
\(188\) | 4.62517i | 0.337325i | ||||||||
\(189\) | −52.4307 | + | 6.36623i | −3.81377 | + | 0.463075i | ||||
\(190\) | 3.11104 | + | 2.14740i | 0.225699 | + | 0.155788i | ||||
\(191\) | 8.31773 | 0.601850 | 0.300925 | − | 0.953648i | \(-0.402705\pi\) | ||||
0.300925 | + | 0.953648i | \(0.402705\pi\) | |||||||
\(192\) | 17.9263 | 1.29372 | ||||||||
\(193\) | −2.88581 | − | 1.99193i | −0.207725 | − | 0.143382i | 0.459660 | − | 0.888095i | \(-0.347971\pi\) |
−0.667385 | + | 0.744713i | \(0.732587\pi\) | |||||||
\(194\) | −10.8667 | + | 5.70327i | −0.780182 | + | 0.409471i | ||||
\(195\) | 8.96252 | − | 6.67903i | 0.641819 | − | 0.478295i | ||||
\(196\) | −15.5553 | − | 8.16405i | −1.11109 | − | 0.583146i | ||||
\(197\) | −4.39816 | − | 8.38000i | −0.313356 | − | 0.597050i | 0.676938 | − | 0.736040i | \(-0.263307\pi\) |
−0.990294 | + | 0.138990i | \(0.955614\pi\) | |||||||
\(198\) | −16.8048 | + | 14.8878i | −1.19427 | + | 1.05803i | ||||
\(199\) | 5.91354 | + | 1.45756i | 0.419200 | + | 0.103323i | 0.443273 | − | 0.896387i | \(-0.353817\pi\) |
−0.0240730 | + | 0.999710i | \(0.507663\pi\) | |||||||
\(200\) | 1.34937 | − | 2.57100i | 0.0954146 | − | 0.181797i | ||||
\(201\) | −5.32757 | − | 10.1508i | −0.375777 | − | 0.715984i | ||||
\(202\) | 1.27190 | + | 0.482368i | 0.0894906 | + | 0.0339393i | ||||
\(203\) | 0.828783 | − | 3.36251i | 0.0581692 | − | 0.236002i | ||||
\(204\) | 14.5891 | + | 12.9248i | 1.02144 | + | 0.904917i | ||||
\(205\) | 5.38468 | + | 7.80105i | 0.376082 | + | 0.544849i | ||||
\(206\) | 4.10334 | − | 7.81826i | 0.285893 | − | 0.544724i | ||||
\(207\) | −34.1295 | + | 30.2361i | −2.37216 | + | 2.10155i | ||||
\(208\) | −1.32160 | − | 0.275313i | −0.0916366 | − | 0.0190895i | ||||
\(209\) | −11.3152 | − | 10.0244i | −0.782692 | − | 0.693404i | ||||
\(210\) | 12.6051 | − | 4.78047i | 0.869831 | − | 0.329884i | ||||
\(211\) | −1.38976 | − | 11.4457i | −0.0956747 | − | 0.787952i | −0.959020 | − | 0.283338i | \(-0.908558\pi\) |
0.863345 | − | 0.504614i | \(-0.168365\pi\) | |||||||
\(212\) | 0.571353 | − | 0.299869i | 0.0392407 | − | 0.0205951i | ||||
\(213\) | 20.6010 | + | 23.2538i | 1.41156 | + | 1.59332i | ||||
\(214\) | −0.688519 | − | 0.475250i | −0.0470662 | − | 0.0324875i | ||||
\(215\) | 0.825027 | + | 0.931263i | 0.0562664 | + | 0.0635116i | ||||
\(216\) | 32.2622 | − | 3.91734i | 2.19516 | − | 0.266541i | ||||
\(217\) | 3.04841 | + | 25.1060i | 0.206940 | + | 1.70430i | ||||
\(218\) | −2.28196 | + | 6.01704i | −0.154554 | + | 0.407525i | ||||
\(219\) | −32.3744 | − | 12.2780i | −2.18766 | − | 0.829669i | ||||
\(220\) | −2.40904 | + | 3.49010i | −0.162417 | + | 0.235302i | ||||
\(221\) | −11.7715 | − | 15.7960i | −0.791833 | − | 1.06255i | ||||
\(222\) | 0.530684 | + | 0.768829i | 0.0356172 | + | 0.0516004i | ||||
\(223\) | −4.91284 | − | 19.9322i | −0.328988 | − | 1.33476i | −0.869713 | − | 0.493558i | \(-0.835696\pi\) |
0.540725 | − | 0.841200i | \(-0.318150\pi\) | |||||||
\(224\) | 22.8221 | + | 11.9780i | 1.52487 | + | 0.800313i | ||||
\(225\) | 2.34411 | − | 6.18090i | 0.156274 | − | 0.412060i | ||||
\(226\) | −15.7753 | + | 5.98279i | −1.04936 | + | 0.397969i | ||||
\(227\) | −7.06102 | − | 0.857363i | −0.468656 | − | 0.0569052i | −0.117198 | − | 0.993109i | \(-0.537391\pi\) |
−0.351459 | + | 0.936203i | \(0.614314\pi\) | |||||||
\(228\) | 3.50187 | + | 14.2077i | 0.231917 | + | 0.940925i | ||||
\(229\) | 3.84880 | + | 7.33327i | 0.254336 | + | 0.484596i | 0.978827 | − | 0.204687i | \(-0.0656177\pi\) |
−0.724492 | + | 0.689284i | \(0.757925\pi\) | |||||||
\(230\) | 3.61097 | − | 5.23139i | 0.238100 | − | 0.344947i | ||||
\(231\) | −52.3444 | + | 12.9017i | −3.44401 | + | 0.848872i | ||||
\(232\) | −0.509976 | + | 2.06905i | −0.0334815 | + | 0.135840i | ||||
\(233\) | −7.35929 | + | 19.4049i | −0.482123 | + | 1.27125i | 0.444674 | + | 0.895693i | \(0.353320\pi\) |
−0.926797 | + | 0.375562i | \(0.877450\pi\) | |||||||
\(234\) | −21.8865 | − | 1.85492i | −1.43076 | − | 0.121260i | ||||
\(235\) | −1.42529 | − | 3.75819i | −0.0929759 | − | 0.245157i | ||||
\(236\) | 10.7504 | − | 1.30533i | 0.699788 | − | 0.0849697i | ||||
\(237\) | 18.1927 | − | 9.54829i | 1.18175 | − | 0.620228i | ||||
\(238\) | −8.42533 | − | 22.2158i | −0.546133 | − | 1.44004i | ||||
\(239\) | 12.9376i | 0.836863i | 0.908248 | + | 0.418432i | \(0.137420\pi\) | ||||
−0.908248 | + | 0.418432i | \(0.862580\pi\) | |||||||
\(240\) | −1.08529 | + | 0.411596i | −0.0700551 | + | 0.0265684i | ||||
\(241\) | 1.12739 | − | 4.57399i | 0.0726214 | − | 0.294637i | −0.923390 | − | 0.383863i | \(-0.874593\pi\) |
0.996011 | + | 0.0892266i | \(0.0284395\pi\) | |||||||
\(242\) | −1.57773 | + | 1.78089i | −0.101420 | + | 0.114480i | ||||
\(243\) | 12.1469 | − | 2.99393i | 0.779221 | − | 0.192061i | ||||
\(244\) | −8.72141 | − | 7.72650i | −0.558331 | − | 0.494638i | ||||
\(245\) | 15.1553 | + | 1.84019i | 0.968237 | + | 0.117565i | ||||
\(246\) | 3.26422 | − | 26.8833i | 0.208119 | − | 1.71402i | ||||
\(247\) | −0.536466 | − | 14.7800i | −0.0341345 | − | 0.940428i | ||||
\(248\) | −1.87578 | − | 15.4485i | −0.119112 | − | 0.980978i | ||||
\(249\) | − | 54.7997i | − | 3.47279i | ||||||
\(250\) | −0.111082 | + | 0.914846i | −0.00702547 | + | 0.0578600i | ||||
\(251\) | −4.69027 | − | 2.46164i | −0.296047 | − | 0.155378i | 0.310160 | − | 0.950684i | \(-0.399617\pi\) |
−0.606207 | + | 0.795307i | \(0.707310\pi\) | |||||||
\(252\) | 33.5620 | + | 12.7284i | 2.11420 | + | 0.801812i | ||||
\(253\) | −16.8566 | + | 19.0272i | −1.05977 | + | 1.19623i | ||||
\(254\) | 2.22460 | − | 2.51106i | 0.139584 | − | 0.157558i | ||||
\(255\) | −15.8373 | − | 6.00629i | −0.991769 | − | 0.376128i | ||||
\(256\) | −14.8062 | − | 7.77087i | −0.925385 | − | 0.485679i | ||||
\(257\) | 0.371750 | − | 3.06163i | 0.0231891 | − | 0.190979i | −0.976511 | − | 0.215467i | \(-0.930872\pi\) |
0.999700 | + | 0.0244880i | \(0.00779556\pi\) | |||||||
\(258\) | − | 3.55445i | − | 0.221291i | ||||||
\(259\) | 0.185989 | + | 1.53175i | 0.0115568 | + | 0.0951785i | ||||
\(260\) | −4.09787 | + | 0.649172i | −0.254139 | + | 0.0402599i | ||||
\(261\) | −0.584783 | + | 4.81612i | −0.0361971 | + | 0.298110i | ||||
\(262\) | 1.02066 | + | 0.123930i | 0.0630565 | + | 0.00765645i | ||||
\(263\) | −4.56567 | − | 4.04483i | −0.281531 | − | 0.249415i | 0.510525 | − | 0.859863i | \(-0.329451\pi\) |
−0.792056 | + | 0.610448i | \(0.790989\pi\) | |||||||
\(264\) | 32.2091 | − | 7.93883i | 1.98233 | − | 0.488601i | ||||
\(265\) | −0.371846 | + | 0.419727i | −0.0228423 | + | 0.0257836i | ||||
\(266\) | 4.26887 | − | 17.3195i | 0.261741 | − | 1.06192i | ||||
\(267\) | −14.9360 | + | 5.66448i | −0.914069 | + | 0.346661i | ||||
\(268\) | 4.25531i | 0.259934i | ||||||||
\(269\) | 9.98702 | + | 26.3336i | 0.608919 | + | 1.60559i | 0.783810 | + | 0.621001i | \(0.213274\pi\) |
−0.174890 | + | 0.984588i | \(0.555957\pi\) | |||||||
\(270\) | −9.13334 | + | 4.79355i | −0.555837 | + | 0.291726i | ||||
\(271\) | 30.6379 | − | 3.72012i | 1.86112 | − | 0.225981i | 0.888582 | − | 0.458717i | \(-0.151691\pi\) |
0.972540 | + | 0.232736i | \(0.0747679\pi\) | |||||||
\(272\) | 0.725417 | + | 1.91277i | 0.0439849 | + | 0.115979i | ||||
\(273\) | −44.4655 | − | 28.3676i | −2.69117 | − | 1.71689i | ||||
\(274\) | −6.01216 | + | 15.8528i | −0.363208 | + | 0.957701i | ||||
\(275\) | 0.881960 | − | 3.57825i | 0.0531842 | − | 0.215777i | ||||
\(276\) | 23.8910 | − | 5.88859i | 1.43807 | − | 0.354452i | ||||
\(277\) | −10.9489 | + | 15.8622i | −0.657856 | + | 0.953069i | 0.342055 | + | 0.939680i | \(0.388877\pi\) |
−0.999910 | + | 0.0133886i | \(0.995738\pi\) | |||||||
\(278\) | 1.33320 | + | 2.54020i | 0.0799601 | + | 0.152351i | ||||
\(279\) | −8.47874 | − | 34.3996i | −0.507609 | − | 2.05945i | ||||
\(280\) | −13.6014 | − | 1.65151i | −0.812841 | − | 0.0986968i | ||||
\(281\) | −5.65998 | + | 2.14655i | −0.337646 | + | 0.128052i | −0.517600 | − | 0.855623i | \(-0.673174\pi\) |
0.179954 | + | 0.983675i | \(0.442405\pi\) | |||||||
\(282\) | −4.07195 | + | 10.7369i | −0.242481 | + | 0.639370i | ||||
\(283\) | 14.8320 | + | 7.78446i | 0.881673 | + | 0.462738i | 0.843870 | − | 0.536547i | \(-0.180272\pi\) |
0.0378031 | + | 0.999285i | \(0.487964\pi\) | |||||||
\(284\) | −2.75971 | − | 11.1966i | −0.163758 | − | 0.664394i | ||||
\(285\) | −7.22368 | − | 10.4653i | −0.427894 | − | 0.619911i | ||||
\(286\) | −12.2374 | + | 0.444179i | −0.723613 | + | 0.0262649i | ||||
\(287\) | 25.4090 | − | 36.8112i | 1.49984 | − | 2.17290i | ||||
\(288\) | −33.7609 | − | 12.8038i | −1.98938 | − | 0.754473i | ||||
\(289\) | −4.55750 | + | 12.0171i | −0.268088 | + | 0.706891i | ||||
\(290\) | −0.0815245 | − | 0.671415i | −0.00478728 | − | 0.0394268i | ||||
\(291\) | 40.9824 | − | 4.97617i | 2.40243 | − | 0.291708i | ||||
\(292\) | 8.52260 | + | 9.62003i | 0.498748 | + | 0.562970i | ||||
\(293\) | 11.6897 | + | 8.06881i | 0.682919 | + | 0.471385i | 0.858322 | − | 0.513112i | \(-0.171507\pi\) |
−0.175403 | + | 0.984497i | \(0.556123\pi\) | |||||||
\(294\) | −28.9224 | − | 32.6467i | −1.68679 | − | 1.90399i | ||||
\(295\) | −8.33296 | + | 4.37347i | −0.485164 | + | 0.254633i | ||||
\(296\) | −0.114444 | − | 0.942535i | −0.00665195 | − | 0.0547837i | ||||
\(297\) | 38.5685 | − | 14.6271i | 2.23797 | − | 0.848751i | ||||
\(298\) | 13.5239 | + | 11.9811i | 0.783419 | + | 0.694048i | ||||
\(299\) | −24.8534 | + | 0.902098i | −1.43731 | + | 0.0521697i | ||||
\(300\) | −2.67017 | + | 2.36556i | −0.154162 | + | 0.136576i | ||||
\(301\) | 2.72832 | − | 5.19838i | 0.157258 | − | 0.299630i | ||||
\(302\) | 1.44205 | + | 2.08917i | 0.0829808 | + | 0.120218i | ||||
\(303\) | −3.42514 | − | 3.03441i | −0.196769 | − | 0.174322i | ||||
\(304\) | −0.367547 | + | 1.49120i | −0.0210803 | + | 0.0855260i | ||||
\(305\) | 9.46759 | + | 3.59058i | 0.542112 | + | 0.205596i | ||||
\(306\) | 15.4683 | + | 29.4724i | 0.884263 | + | 1.68482i | ||||
\(307\) | 14.3116 | − | 27.2686i | 0.816809 | − | 1.55630i | −0.0141067 | − | 0.999900i | \(-0.504490\pi\) |
0.830915 | − | 0.556399i | \(-0.187817\pi\) | |||||||
\(308\) | 19.4297 | + | 4.78900i | 1.10711 | + | 0.272878i | ||||
\(309\) | −22.2324 | + | 19.6962i | −1.26476 | + | 1.12048i | ||||
\(310\) | 2.29535 | + | 4.37342i | 0.130367 | + | 0.248393i | ||||
\(311\) | −7.32635 | − | 3.84516i | −0.415439 | − | 0.218039i | 0.244035 | − | 0.969766i | \(-0.421529\pi\) |
−0.659474 | + | 0.751727i | \(0.729221\pi\) | |||||||
\(312\) | 27.3610 | + | 17.4555i | 1.54901 | + | 0.988222i | ||||
\(313\) | −0.715661 | + | 0.375608i | −0.0404515 | + | 0.0212306i | −0.484828 | − | 0.874610i | \(-0.661118\pi\) |
0.444376 | + | 0.895840i | \(0.353425\pi\) | |||||||
\(314\) | −2.55601 | − | 1.76429i | −0.144244 | − | 0.0995645i | ||||
\(315\) | −31.1932 | −1.75754 | ||||||||
\(316\) | −7.62654 | −0.429026 | ||||||||
\(317\) | 6.09633 | + | 4.20799i | 0.342404 | + | 0.236344i | 0.726839 | − | 0.686808i | \(-0.240988\pi\) |
−0.384435 | + | 0.923152i | \(0.625604\pi\) | |||||||
\(318\) | 1.59034 | − | 0.193102i | 0.0891817 | − | 0.0108286i | ||||
\(319\) | 2.70471i | 0.151435i | ||||||||
\(320\) | 5.74038 | + | 0.697009i | 0.320897 | + | 0.0389640i | ||||
\(321\) | 1.59871 | + | 2.31613i | 0.0892311 | + | 0.129274i | ||||
\(322\) | −29.1237 | − | 7.17834i | −1.62300 | − | 0.400033i | ||||
\(323\) | −18.4446 | + | 12.7314i | −1.02628 | + | 0.708392i | ||||
\(324\) | −16.6105 | − | 4.09412i | −0.922806 | − | 0.227451i | ||||
\(325\) | 3.12968 | − | 1.79028i | 0.173603 | − | 0.0993071i | ||||
\(326\) | −15.1547 | + | 3.73530i | −0.839342 | + | 0.206879i | ||||
\(327\) | 14.3550 | − | 16.2035i | 0.793834 | − | 0.896053i | ||||
\(328\) | −15.6349 | + | 22.6511i | −0.863293 | + | 1.25070i | ||||
\(329\) | −14.1966 | + | 12.5771i | −0.782684 | + | 0.693398i | ||||
\(330\) | −8.66498 | + | 5.98100i | −0.476991 | + | 0.329243i | ||||
\(331\) | 17.0259 | − | 11.7522i | 0.935830 | − | 0.645957i | 0.000601072 | − | 1.00000i | \(-0.499809\pi\) |
0.935229 | + | 0.354043i | \(0.115193\pi\) | |||||||
\(332\) | −9.45298 | + | 18.0112i | −0.518800 | + | 0.988491i | ||||
\(333\) | −0.517301 | − | 2.09877i | −0.0283479 | − | 0.115012i | ||||
\(334\) | 0.532783 | − | 4.38786i | 0.0291526 | − | 0.240093i | ||||
\(335\) | −1.31131 | − | 3.45765i | −0.0716448 | − | 0.188912i | ||||
\(336\) | 3.63201 | + | 4.09969i | 0.198142 | + | 0.223657i | ||||
\(337\) | 0.0472941 | 0.00257627 | 0.00128814 | − | 0.999999i | \(-0.499590\pi\) | ||||
0.00128814 | + | 0.999999i | \(0.499590\pi\) | |||||||
\(338\) | −8.57366 | − | 8.36787i | −0.466345 | − | 0.455152i | ||||
\(339\) | 56.7551 | 3.08252 | ||||||||
\(340\) | 4.16919 | + | 4.70604i | 0.226106 | + | 0.255221i | ||||
\(341\) | −7.00406 | − | 18.4682i | −0.379291 | − | 1.00011i | ||||
\(342\) | −3.01208 | + | 24.8067i | −0.162874 | + | 1.34139i | ||||
\(343\) | −9.33525 | − | 37.8746i | −0.504056 | − | 2.04504i | ||||
\(344\) | −1.67882 | + | 3.19872i | −0.0905159 | + | 0.172464i | ||||
\(345\) | −17.5980 | + | 12.1470i | −0.947444 | + | 0.653973i | ||||
\(346\) | 1.79567 | − | 1.23946i | 0.0965356 | − | 0.0666337i | ||||
\(347\) | 10.5084 | − | 9.30961i | 0.564119 | − | 0.499766i | −0.332180 | − | 0.943216i | \(-0.607784\pi\) |
0.896299 | + | 0.443450i | \(0.146246\pi\) | |||||||
\(348\) | 1.48724 | − | 2.15464i | 0.0797245 | − | 0.115501i | ||||
\(349\) | 0.702406 | − | 0.792853i | 0.0375990 | − | 0.0424404i | −0.729410 | − | 0.684076i | \(-0.760205\pi\) |
0.767009 | + | 0.641636i | \(0.221744\pi\) | |||||||
\(350\) | 4.22227 | − | 1.04070i | 0.225690 | − | 0.0556276i | ||||
\(351\) | 36.3902 | + | 17.4459i | 1.94237 | + | 0.931191i | ||||
\(352\) | −19.5449 | − | 4.81738i | −1.04175 | − | 0.256767i | ||||
\(353\) | 4.05972 | − | 2.80222i | 0.216077 | − | 0.149147i | −0.455110 | − | 0.890435i | \(-0.650400\pi\) |
0.671187 | + | 0.741288i | \(0.265785\pi\) | |||||||
\(354\) | 26.1050 | + | 6.43431i | 1.38747 | + | 0.341980i | ||||
\(355\) | 5.69273 | + | 8.24735i | 0.302139 | + | 0.437724i | ||||
\(356\) | 5.88618 | + | 0.714712i | 0.311967 | + | 0.0378797i | ||||
\(357\) | 79.9261i | 4.23014i | ||||||||
\(358\) | −15.9724 | + | 1.93941i | −0.844170 | + | 0.102501i | ||||
\(359\) | 24.2980 | + | 16.7717i | 1.28240 | + | 0.885175i | 0.997308 | − | 0.0733262i | \(-0.0233614\pi\) |
0.285089 | + | 0.958501i | \(0.407977\pi\) | |||||||
\(360\) | 19.1941 | 1.01162 | ||||||||
\(361\) | 2.17418 | 0.114430 | ||||||||
\(362\) | −17.8365 | − | 12.3116i | −0.937464 | − | 0.647085i | ||||
\(363\) | 7.08682 | − | 3.71945i | 0.371962 | − | 0.195220i | ||||
\(364\) | 9.72115 | + | 16.9940i | 0.509527 | + | 0.890727i | ||||
\(365\) | −9.88955 | − | 5.19044i | −0.517643 | − | 0.271680i | ||||
\(366\) | −13.4435 | − | 25.6145i | −0.702704 | − | 1.33889i | ||||
\(367\) | −8.49059 | + | 7.52200i | −0.443205 | + | 0.392645i | −0.854997 | − | 0.518632i | \(-0.826441\pi\) |
0.411792 | + | 0.911278i | \(0.364903\pi\) | |||||||
\(368\) | 2.50753 | + | 0.618051i | 0.130714 | + | 0.0322181i | ||||
\(369\) | −29.1198 | + | 55.4832i | −1.51592 | + | 2.88834i | ||||
\(370\) | 0.140043 | + | 0.266829i | 0.00728047 | + | 0.0138718i | ||||
\(371\) | 2.47409 | + | 0.938298i | 0.128448 | + | 0.0487140i | ||||
\(372\) | −4.57551 | + | 18.5636i | −0.237229 | + | 0.962477i | ||||
\(373\) | −16.0237 | − | 14.1957i | −0.829674 | − | 0.735027i | 0.137128 | − | 0.990553i | \(-0.456213\pi\) |
−0.966802 | + | 0.255526i | \(0.917751\pi\) | |||||||
\(374\) | 10.5412 | + | 15.2716i | 0.545073 | + | 0.789675i | ||||
\(375\) | 1.44068 | − | 2.74498i | 0.0743963 | − | 0.141750i | ||||
\(376\) | 8.73561 | − | 7.73907i | 0.450505 | − | 0.399112i | ||||
\(377\) | −1.91572 | + | 1.82541i | −0.0986646 | + | 0.0940135i | ||||
\(378\) | 36.4324 | + | 32.2763i | 1.87388 | + | 1.66011i | ||||
\(379\) | −13.2023 | + | 5.00696i | −0.678155 | + | 0.257190i | −0.669544 | − | 0.742772i | \(-0.733510\pi\) |
−0.00861153 | + | 0.999963i | \(0.502741\pi\) | |||||||
\(380\) | 0.568952 | + | 4.68574i | 0.0291866 | + | 0.240374i | ||||
\(381\) | −9.99244 | + | 5.24444i | −0.511928 | + | 0.268681i | ||||
\(382\) | −5.08306 | − | 5.73759i | −0.260072 | − | 0.293560i | ||||
\(383\) | 31.3346 | + | 21.6287i | 1.60112 | + | 1.10517i | 0.932260 | + | 0.361788i | \(0.117833\pi\) |
0.668862 | + | 0.743387i | \(0.266782\pi\) | |||||||
\(384\) | 11.5024 | + | 12.9835i | 0.586979 | + | 0.662562i | ||||
\(385\) | −17.2634 | + | 2.09616i | −0.879825 | + | 0.106830i | ||||
\(386\) | 0.389512 | + | 3.20792i | 0.0198257 | + | 0.163279i | ||||
\(387\) | −2.91643 | + | 7.68999i | −0.148250 | + | 0.390904i | ||||
\(388\) | −14.3282 | − | 5.43396i | −0.727403 | − | 0.275868i | ||||
\(389\) | 1.12617 | − | 1.63154i | 0.0570991 | − | 0.0827224i | −0.793394 | − | 0.608708i | \(-0.791688\pi\) |
0.850493 | + | 0.525986i | \(0.176303\pi\) | |||||||
\(390\) | −10.0843 | − | 2.10073i | −0.510638 | − | 0.106375i | ||||
\(391\) | 21.4085 | + | 31.0156i | 1.08267 | + | 1.56853i | ||||
\(392\) | 10.6084 | + | 43.0399i | 0.535805 | + | 2.17384i | ||||
\(393\) | −3.06247 | − | 1.60731i | −0.154481 | − | 0.0810780i | ||||
\(394\) | −3.09277 | + | 8.15497i | −0.155812 | + | 0.410841i | ||||
\(395\) | 6.19695 | − | 2.35019i | 0.311802 | − | 0.118251i | ||||
\(396\) | −27.8292 | − | 3.37908i | −1.39847 | − | 0.169805i | ||||
\(397\) | 1.32923 | + | 5.39288i | 0.0667120 | + | 0.270661i | 0.994820 | − | 0.101649i | \(-0.0324119\pi\) |
−0.928108 | + | 0.372310i | \(0.878566\pi\) | |||||||
\(398\) | −2.60840 | − | 4.96990i | −0.130748 | − | 0.249119i | ||||
\(399\) | −34.0867 | + | 49.3832i | −1.70647 | + | 2.47225i | ||||
\(400\) | −0.363536 | + | 0.0896035i | −0.0181768 | + | 0.00448017i | ||||
\(401\) | −6.40082 | + | 25.9692i | −0.319642 | + | 1.29684i | 0.562869 | + | 0.826546i | \(0.309698\pi\) |
−0.882511 | + | 0.470292i | \(0.844149\pi\) | |||||||
\(402\) | −3.74632 | + | 9.87824i | −0.186850 | + | 0.492682i | ||||
\(403\) | 8.35380 | − | 17.4251i | 0.416132 | − | 0.868008i | ||||
\(404\) | 0.602311 | + | 1.58816i | 0.0299661 | + | 0.0790141i | ||||
\(405\) | 14.7585 | − | 1.79201i | 0.733357 | − | 0.0890457i | ||||
\(406\) | −2.82594 | + | 1.48317i | −0.140249 | + | 0.0736084i | ||||
\(407\) | −0.427329 | − | 1.12677i | −0.0211819 | − | 0.0558521i | ||||
\(408\) | − | 49.1810i | − | 2.43482i | ||||||
\(409\) | 17.1486 | − | 6.50362i | 0.847945 | − | 0.321583i | 0.107918 | − | 0.994160i | \(-0.465582\pi\) |
0.740028 | + | 0.672577i | \(0.234812\pi\) | |||||||
\(410\) | 2.09054 | − | 8.48167i | 0.103245 | − | 0.418880i | ||||
\(411\) | 37.8204 | − | 42.6904i | 1.86554 | − | 2.10576i | ||||
\(412\) | 10.7048 | − | 2.63850i | 0.527388 | − | 0.129989i | ||||
\(413\) | 33.2397 | + | 29.4478i | 1.63562 | + | 1.44903i | ||||
\(414\) | 41.7138 | + | 5.06497i | 2.05012 | + | 0.248930i | ||||
\(415\) | 2.13071 | − | 17.5480i | 0.104593 | − | 0.861398i | ||||
\(416\) | −9.77877 | − | 17.0947i | −0.479444 | − | 0.838138i | ||||
\(417\) | −1.16323 | − | 9.58009i | −0.0569638 | − | 0.469139i | ||||
\(418\) | 13.9313i | 0.681403i | ||||||||
\(419\) | −3.07722 | + | 25.3432i | −0.150332 | + | 1.23810i | 0.700882 | + | 0.713278i | \(0.252790\pi\) |
−0.851214 | + | 0.524819i | \(0.824133\pi\) | |||||||
\(420\) | 14.9051 | + | 7.82280i | 0.727295 | + | 0.381714i | ||||
\(421\) | −6.88613 | − | 2.61156i | −0.335609 | − | 0.127280i | 0.181043 | − | 0.983475i | \(-0.442053\pi\) |
−0.516652 | + | 0.856195i | \(0.672822\pi\) | |||||||
\(422\) | −7.04594 | + | 7.95323i | −0.342991 | + | 0.387157i | ||||
\(423\) | 17.6192 | − | 19.8879i | 0.856674 | − | 0.966985i | ||||
\(424\) | −1.52238 | − | 0.577363i | −0.0739334 | − | 0.0280392i | ||||
\(425\) | −4.83789 | − | 2.53912i | −0.234672 | − | 0.123165i | ||||
\(426\) | 3.45097 | − | 28.4213i | 0.167200 | − | 1.37702i | ||||
\(427\) | − | 47.7801i | − | 2.31224i | ||||||
\(428\) | −0.125918 | − | 1.03702i | −0.00608646 | − | 0.0501265i | ||||
\(429\) | 39.0205 | + | 13.2005i | 1.88393 | + | 0.637325i | ||||
\(430\) | 0.138204 | − | 1.13821i | 0.00666477 | − | 0.0548893i | ||||
\(431\) | −10.7638 | − | 1.30696i | −0.518474 | − | 0.0629542i | −0.142883 | − | 0.989740i | \(-0.545637\pi\) |
−0.375591 | + | 0.926785i | \(0.622560\pi\) | |||||||
\(432\) | −3.13681 | − | 2.77897i | −0.150920 | − | 0.133703i | ||||
\(433\) | 7.34101 | − | 1.80940i | 0.352786 | − | 0.0869540i | −0.0589401 | − | 0.998262i | \(-0.518772\pi\) |
0.411726 | + | 0.911308i | \(0.364926\pi\) | |||||||
\(434\) | 15.4552 | − | 17.4453i | 0.741874 | − | 0.837402i | ||||
\(435\) | −0.544485 | + | 2.20906i | −0.0261061 | + | 0.105917i | ||||
\(436\) | −7.51320 | + | 2.84938i | −0.359817 | + | 0.136461i | ||||
\(437\) | 28.2936i | 1.35346i | ||||||||
\(438\) | 11.3150 | + | 29.8351i | 0.540650 | + | 1.42558i | ||||
\(439\) | 28.5056 | − | 14.9609i | 1.36050 | − | 0.714045i | 0.382756 | − | 0.923849i | \(-0.374975\pi\) |
0.977743 | + | 0.209804i | \(0.0672826\pi\) | |||||||
\(440\) | 10.6227 | − | 1.28983i | 0.506418 | − | 0.0614902i | ||||
\(441\) | 35.7866 | + | 94.3614i | 1.70412 | + | 4.49340i | ||||
\(442\) | −3.70244 | + | 17.7731i | −0.176107 | + | 0.845379i | ||||
\(443\) | −1.34121 | + | 3.53647i | −0.0637226 | + | 0.168023i | −0.963096 | − | 0.269159i | \(-0.913254\pi\) |
0.899373 | + | 0.437182i | \(0.144023\pi\) | |||||||
\(444\) | −0.279159 | + | 1.13259i | −0.0132483 | + | 0.0537505i | ||||
\(445\) | −5.00307 | + | 1.23315i | −0.237168 | + | 0.0584567i | ||||
\(446\) | −10.7470 | + | 15.5697i | −0.508883 | + | 0.737245i | ||||
\(447\) | −28.2452 | − | 53.8167i | −1.33595 | − | 2.54544i | ||||
\(448\) | −6.53006 | − | 26.4935i | −0.308516 | − | 1.25170i | ||||
\(449\) | −6.46096 | − | 0.784502i | −0.304911 | − | 0.0370230i | −0.0333490 | − | 0.999444i | \(-0.510617\pi\) |
−0.271562 | + | 0.962421i | \(0.587540\pi\) | |||||||
\(450\) | −5.69610 | + | 2.16025i | −0.268517 | + | 0.101835i | ||||
\(451\) | −12.3875 | + | 32.6632i | −0.583305 | + | 1.53805i | ||||
\(452\) | −18.6538 | − | 9.79029i | −0.877403 | − | 0.460497i | ||||
\(453\) | −2.04362 | − | 8.29130i | −0.0960177 | − | 0.389559i | ||||
\(454\) | 3.72366 | + | 5.39465i | 0.174760 | + | 0.253183i | ||||
\(455\) | −13.1358 | − | 10.8128i | −0.615816 | − | 0.506912i | ||||
\(456\) | 20.9746 | − | 30.3870i | 0.982226 | − | 1.42300i | ||||
\(457\) | −27.4492 | − | 10.4101i | −1.28402 | − | 0.486964i | −0.384208 | − | 0.923247i | \(-0.625525\pi\) |
−0.899810 | + | 0.436283i | \(0.856295\pi\) | |||||||
\(458\) | 2.70646 | − | 7.13635i | 0.126465 | − | 0.333460i | ||||
\(459\) | −7.37131 | − | 60.7082i | −0.344063 | − | 2.83362i | ||||
\(460\) | 7.87934 | − | 0.956725i | 0.367376 | − | 0.0446075i | ||||
\(461\) | −23.0361 | − | 26.0024i | −1.07290 | − | 1.21105i | −0.976457 | − | 0.215714i | \(-0.930792\pi\) |
−0.0964425 | − | 0.995339i | \(-0.530746\pi\) | |||||||
\(462\) | 40.8879 | + | 28.2229i | 1.90228 | + | 1.31305i | ||||
\(463\) | −24.3463 | − | 27.4813i | −1.13147 | − | 1.27717i | −0.956222 | − | 0.292642i | \(-0.905465\pi\) |
−0.175249 | − | 0.984524i | \(-0.556073\pi\) | |||||||
\(464\) | 0.243312 | − | 0.127700i | 0.0112955 | − | 0.00592832i | ||||
\(465\) | −2.00272 | − | 16.4938i | −0.0928737 | − | 0.764884i | ||||
\(466\) | 17.8828 | − | 6.78207i | 0.828407 | − | 0.314173i | ||||
\(467\) | 10.3865 | + | 9.20162i | 0.480629 | + | 0.425800i | 0.868331 | − | 0.495984i | \(-0.165193\pi\) |
−0.387702 | + | 0.921785i | \(0.626731\pi\) | |||||||
\(468\) | −16.3886 | − | 21.9917i | −0.757563 | − | 1.01657i | ||||
\(469\) | −13.0613 | + | 11.5713i | −0.603116 | + | 0.534314i | ||||
\(470\) | −1.72139 | + | 3.27984i | −0.0794019 | + | 0.151288i | ||||
\(471\) | 5.93493 | + | 8.59823i | 0.273467 | + | 0.396185i | ||||
\(472\) | −20.4534 | − | 18.1201i | −0.941445 | − | 0.834047i | ||||
\(473\) | −1.09729 | + | 4.45190i | −0.0504536 | + | 0.204698i | ||||
\(474\) | −17.7042 | − | 6.71432i | −0.813181 | − | 0.308399i | ||||
\(475\) | −1.90626 | − | 3.63208i | −0.0874653 | − | 0.166651i | ||||
\(476\) | 13.7873 | − | 26.2695i | 0.631940 | − | 1.20406i | ||||
\(477\) | −3.59911 | − | 0.887100i | −0.164792 | − | 0.0406175i | ||||
\(478\) | 8.92437 | − | 7.90630i | 0.408191 | − | 0.361626i | ||||
\(479\) | 6.09192 | + | 11.6072i | 0.278347 | + | 0.530346i | 0.983990 | − | 0.178221i | \(-0.0570343\pi\) |
−0.705643 | + | 0.708567i | \(0.749342\pi\) | |||||||
\(480\) | −14.9935 | − | 7.86917i | −0.684355 | − | 0.359177i | ||||
\(481\) | 0.509678 | − | 1.06313i | 0.0232393 | − | 0.0484748i | ||||
\(482\) | −3.84410 | + | 2.01754i | −0.175094 | + | 0.0918965i | ||||
\(483\) | 83.0405 | + | 57.3187i | 3.77848 | + | 2.60809i | ||||
\(484\) | −2.97085 | −0.135039 | ||||||||
\(485\) | 13.3169 | 0.604690 | ||||||||
\(486\) | −9.48829 | − | 6.54930i | −0.430398 | − | 0.297082i | ||||
\(487\) | 1.44322 | − | 0.175239i | 0.0653986 | − | 0.00794083i | −0.0877719 | − | 0.996141i | \(-0.527975\pi\) |
0.153171 | + | 0.988200i | \(0.451052\pi\) | |||||||
\(488\) | 29.4006i | 1.33090i | ||||||||
\(489\) | 52.1222 | + | 6.32878i | 2.35705 | + | 0.286197i | ||||
\(490\) | −7.99221 | − | 11.5787i | −0.361051 | − | 0.523073i | ||||
\(491\) | 10.4320 | + | 2.57127i | 0.470791 | + | 0.116040i | 0.467572 | − | 0.883955i | \(-0.345129\pi\) |
0.00321958 | + | 0.999995i | \(0.498975\pi\) | |||||||
\(492\) | 27.8288 | − | 19.2088i | 1.25462 | − | 0.866000i | ||||
\(493\) | 3.89336 | + | 0.959628i | 0.175348 | + | 0.0432195i | ||||
\(494\) | −9.86741 | + | 9.40226i | −0.443956 | + | 0.423028i | ||||
\(495\) | 23.6539 | − | 5.83017i | 1.06317 | − | 0.262047i | ||||
\(496\) | −1.33069 | + | 1.50203i | −0.0597495 | + | 0.0674433i | ||||
\(497\) | 26.8626 | − | 38.9172i | 1.20495 | − | 1.74567i | ||||
\(498\) | −37.8009 | + | 33.4887i | −1.69390 | + | 1.50066i | ||||
\(499\) | −11.1706 | + | 7.71050i | −0.500064 | + | 0.345170i | −0.791246 | − | 0.611498i | \(-0.790567\pi\) |
0.291181 | + | 0.956668i | \(0.405952\pi\) | |||||||
\(500\) | −0.947022 | + | 0.653682i | −0.0423521 | + | 0.0292335i | ||||
\(501\) | −6.90990 | + | 13.1657i | −0.308711 | + | 0.588200i | ||||
\(502\) | 1.16823 | + | 4.73969i | 0.0521406 | + | 0.211543i | ||||
\(503\) | 0.0909439 | − | 0.748990i | 0.00405499 | − | 0.0333958i | −0.990541 | − | 0.137218i | \(-0.956184\pi\) |
0.994596 | + | 0.103822i | \(0.0331071\pi\) | |||||||
\(504\) | −32.1174 | − | 84.6865i | −1.43062 | − | 3.77224i | ||||
\(505\) | −0.978817 | − | 1.10486i | −0.0435568 | − | 0.0491655i | ||||
\(506\) | 23.4263 | 1.04142 | ||||||||
\(507\) | 16.9852 | + | 36.5469i | 0.754339 | + | 1.62310i | ||||
\(508\) | 4.18891 | 0.185853 | ||||||||
\(509\) | 19.1317 | + | 21.5953i | 0.847999 | + | 0.957193i | 0.999511 | − | 0.0312626i | \(-0.00995281\pi\) |
−0.151512 | + | 0.988455i | \(0.548414\pi\) | |||||||
\(510\) | 5.53519 | + | 14.5951i | 0.245102 | + | 0.646282i | ||||
\(511\) | −6.35267 | + | 52.3189i | −0.281025 | + | 2.31445i | ||||
\(512\) | 1.00977 | + | 4.09680i | 0.0446260 | + | 0.181055i | ||||
\(513\) | 21.3363 | − | 40.6529i | 0.942020 | − | 1.79487i | ||||
\(514\) | −2.33910 | + | 1.61456i | −0.103173 | + | 0.0712154i | ||||
\(515\) | −7.88512 | + | 5.44270i | −0.347460 | + | 0.239834i | ||||
\(516\) | 3.32210 | − | 2.94313i | 0.146247 | − | 0.129564i | ||||
\(517\) | 8.41463 | − | 12.1907i | 0.370075 | − | 0.536146i | ||||
\(518\) | 0.942946 | − | 1.06437i | 0.0414307 | − | 0.0467656i | ||||
\(519\) | −7.12645 | + | 1.75651i | −0.312817 | + | 0.0771024i | ||||
\(520\) | 8.08286 | + | 6.65345i | 0.354457 | + | 0.291773i | ||||
\(521\) | −9.12459 | − | 2.24901i | −0.399755 | − | 0.0985309i | 0.0343121 | − | 0.999411i | \(-0.489076\pi\) |
−0.434068 | + | 0.900880i | \(0.642922\pi\) | |||||||
\(522\) | 3.67953 | − | 2.53980i | 0.161049 | − | 0.111164i | ||||
\(523\) | −27.9829 | − | 6.89716i | −1.22361 | − | 0.301592i | −0.425973 | − | 0.904736i | \(-0.640068\pi\) |
−0.797632 | + | 0.603144i | \(0.793914\pi\) | |||||||
\(524\) | 0.729288 | + | 1.05656i | 0.0318591 | + | 0.0461558i | ||||
\(525\) | −14.5218 | − | 1.76327i | −0.633785 | − | 0.0769554i | ||||
\(526\) | 5.62125i | 0.245098i | ||||||||
\(527\) | −29.0696 | + | 3.52969i | −1.26629 | + | 0.153756i | ||||
\(528\) | −3.52042 | − | 2.42997i | −0.153207 | − | 0.105751i | ||||
\(529\) | 24.5772 | 1.06857 | ||||||||
\(530\) | 0.516767 | 0.0224469 | ||||||||
\(531\) | −51.1983 | − | 35.3397i | −2.22182 | − | 1.53361i | ||||
\(532\) | 19.7220 | − | 10.3509i | 0.855057 | − | 0.448768i | ||||
\(533\) | −31.4954 | + | 13.2705i | −1.36422 | + | 0.574808i | ||||
\(534\) | 13.0349 | + | 6.84126i | 0.564077 | + | 0.296050i | ||||
\(535\) | 0.421884 | + | 0.803833i | 0.0182396 | + | 0.0347527i | ||||
\(536\) | 8.03703 | − | 7.12019i | 0.347147 | − | 0.307545i | ||||
\(537\) | 52.5520 | + | 12.9529i | 2.26778 | + | 0.558959i | ||||
\(538\) | 12.0618 | − | 22.9818i | 0.520021 | − | 0.990817i | ||||
\(539\) | 26.1466 | + | 49.8181i | 1.12621 | + | 2.14582i | ||||
\(540\) | −12.0427 | − | 4.56720i | −0.518236 | − | 0.196541i | ||||
\(541\) | −8.86445 | + | 35.9645i | −0.381113 | + | 1.54623i | 0.396826 | + | 0.917894i | \(0.370112\pi\) |
−0.777938 | + | 0.628341i | \(0.783734\pi\) | |||||||
\(542\) | −21.2893 | − | 18.8607i | −0.914455 | − | 0.810136i | ||||
\(543\) | 41.4154 | + | 60.0005i | 1.77730 | + | 2.57487i | ||||
\(544\) | −13.8690 | + | 26.4252i | −0.594630 | + | 1.13297i | ||||
\(545\) | 5.22679 | − | 4.63053i | 0.223891 | − | 0.198350i | ||||
\(546\) | 7.60531 | + | 48.0082i | 0.325477 | + | 2.05456i | ||||
\(547\) | 9.22815 | + | 8.17542i | 0.394567 | + | 0.349556i | 0.836959 | − | 0.547266i | \(-0.184331\pi\) |
−0.442392 | + | 0.896822i | \(0.645870\pi\) | |||||||
\(548\) | −19.7946 | + | 7.50712i | −0.845585 | + | 0.320688i | ||||
\(549\) | 8.06811 | + | 66.4469i | 0.344339 | + | 2.83588i | ||||
\(550\) | −3.00726 | + | 1.57833i | −0.128230 | + | 0.0673003i | ||||
\(551\) | 1.99629 | + | 2.25335i | 0.0850450 | + | 0.0959960i | ||||
\(552\) | −51.0974 | − | 35.2700i | −2.17485 | − | 1.50119i | ||||
\(553\) | −20.7386 | − | 23.4091i | −0.881896 | − | 0.995455i | ||||
\(554\) | 17.6328 | − | 2.14101i | 0.749145 | − | 0.0909627i | ||||
\(555\) | −0.122189 | − | 1.00632i | −0.00518663 | − | 0.0427157i | ||||
\(556\) | −1.27025 | + | 3.34937i | −0.0538705 | + | 0.142045i | ||||
\(557\) | −0.832791 | − | 0.315836i | −0.0352865 | − | 0.0133824i | 0.336899 | − | 0.941541i | \(-0.390622\pi\) |
−0.372185 | + | 0.928159i | \(0.621391\pi\) | |||||||
\(558\) | −18.5474 | + | 26.8706i | −0.785176 | + | 1.13752i | ||||
\(559\) | −3.89380 | + | 2.22739i | −0.164690 | + | 0.0942085i | ||||
\(560\) | 1.00364 | + | 1.45403i | 0.0424116 | + | 0.0614438i | ||||
\(561\) | −14.9386 | − | 60.6083i | −0.630709 | − | 2.55889i | ||||
\(562\) | 4.93956 | + | 2.59248i | 0.208363 | + | 0.109357i | ||||
\(563\) | 4.73219 | − | 12.4778i | 0.199438 | − | 0.525875i | −0.797565 | − | 0.603232i | \(-0.793879\pi\) |
0.997003 | + | 0.0773577i | \(0.0246483\pi\) | |||||||
\(564\) | −13.4066 | + | 5.08446i | −0.564521 | + | 0.214095i | ||||
\(565\) | 18.1742 | + | 2.20674i | 0.764593 | + | 0.0928384i | ||||
\(566\) | −3.69429 | − | 14.9883i | −0.155283 | − | 0.630007i | ||||
\(567\) | −32.6019 | − | 62.1177i | −1.36915 | − | 2.60870i | ||||
\(568\) | −16.5294 | + | 23.9469i | −0.693557 | + | 1.00479i | ||||
\(569\) | 13.7290 | − | 3.38390i | 0.575550 | − | 0.141860i | 0.0592124 | − | 0.998245i | \(-0.481141\pi\) |
0.516338 | + | 0.856385i | \(0.327295\pi\) | |||||||
\(570\) | −2.80452 | + | 11.3784i | −0.117468 | + | 0.476587i | ||||
\(571\) | 7.69115 | − | 20.2799i | 0.321865 | − | 0.848687i | −0.672247 | − | 0.740327i | \(-0.734671\pi\) |
0.994112 | − | 0.108360i | \(-0.0345600\pi\) | |||||||
\(572\) | −10.5479 | − | 11.0697i | −0.441028 | − | 0.462847i | ||||
\(573\) | 9.14370 | + | 24.1100i | 0.381984 | + | 1.00721i | ||||
\(574\) | −40.9201 | + | 4.96860i | −1.70797 | + | 0.207385i | ||||
\(575\) | −6.10754 | + | 3.20548i | −0.254702 | + | 0.133678i | ||||
\(576\) | 13.5549 | + | 35.7413i | 0.564787 | + | 1.48922i | ||||
\(577\) | 3.20307i | 0.133346i | 0.997775 | + | 0.0666729i | \(0.0212384\pi\) | ||||
−0.997775 | + | 0.0666729i | \(0.978762\pi\) | |||||||
\(578\) | 11.0746 | − | 4.20004i | 0.460642 | − | 0.174698i | ||||
\(579\) | 2.60147 | − | 10.5546i | 0.108114 | − | 0.438634i | ||||
\(580\) | 0.560022 | − | 0.632134i | 0.0232537 | − | 0.0262479i | ||||
\(581\) | −80.9890 | + | 19.9620i | −3.35999 | + | 0.828164i | ||||
\(582\) | −28.4774 | − | 25.2288i | −1.18043 | − | 1.04577i | ||||
\(583\) | −2.05149 | − | 0.249095i | −0.0849638 | − | 0.0103165i | ||||
\(584\) | 3.90899 | − | 32.1934i | 0.161755 | − | 1.33217i | ||||
\(585\) | 20.0935 | + | 12.8191i | 0.830765 | + | 0.530003i | ||||
\(586\) | −1.57782 | − | 12.9945i | −0.0651791 | − | 0.536798i | ||||
\(587\) | − | 7.13291i | − | 0.294407i | −0.989106 | − | 0.147203i | \(-0.952973\pi\) | ||
0.989106 | − | 0.147203i | \(-0.0470272\pi\) | |||||||
\(588\) | 6.56452 | − | 54.0637i | 0.270716 | − | 2.22955i | ||||
\(589\) | −19.4663 | − | 10.2167i | −0.802094 | − | 0.420971i | ||||
\(590\) | 8.10919 | + | 3.07541i | 0.333850 | + | 0.126613i | ||||
\(591\) | 19.4555 | − | 21.9608i | 0.800294 | − | 0.903345i | ||||
\(592\) | −0.0811872 | + | 0.0916414i | −0.00333677 | + | 0.00376644i | ||||
\(593\) | −27.2187 | − | 10.3227i | −1.11774 | − | 0.423902i | −0.274579 | − | 0.961565i | \(-0.588538\pi\) |
−0.843160 | + | 0.537662i | \(0.819308\pi\) | |||||||
\(594\) | −33.6595 | − | 17.6658i | −1.38106 | − | 0.724839i | ||||
\(595\) | −3.10767 | + | 25.5940i | −0.127402 | + | 1.04925i | ||||
\(596\) | 22.5604i | 0.924109i | ||||||||
\(597\) | 2.27586 | + | 18.7434i | 0.0931449 | + | 0.767117i | ||||
\(598\) | 15.8104 | + | 16.5926i | 0.646537 | + | 0.678522i | ||||
\(599\) | 3.54892 | − | 29.2280i | 0.145005 | − | 1.19422i | −0.720548 | − | 0.693405i | \(-0.756110\pi\) |
0.865553 | − | 0.500817i | \(-0.166967\pi\) | |||||||
\(600\) | 8.93573 | + | 1.08499i | 0.364799 | + | 0.0442947i | ||||
\(601\) | −19.5439 | − | 17.3144i | −0.797213 | − | 0.706269i | 0.162667 | − | 0.986681i | \(-0.447990\pi\) |
−0.959880 | + | 0.280412i | \(0.909529\pi\) | |||||||
\(602\) | −5.25316 | + | 1.29479i | −0.214103 | + | 0.0527716i | ||||
\(603\) | 16.2102 | − | 18.2975i | 0.660130 | − | 0.745133i | ||||
\(604\) | −0.758572 | + | 3.07765i | −0.0308659 | + | 0.125228i | ||||
\(605\) | 2.41397 | − | 0.915497i | 0.0981417 | − | 0.0372202i | ||||
\(606\) | 4.21703i | 0.171305i | ||||||||
\(607\) | −9.57572 | − | 25.2491i | −0.388667 | − | 1.02483i | −0.976437 | − | 0.215802i | \(-0.930763\pi\) |
0.587771 | − | 0.809028i | \(-0.300006\pi\) | |||||||
\(608\) | −19.8389 | + | 10.4123i | −0.804574 | + | 0.422273i | ||||
\(609\) | 10.6577 | − | 1.29408i | 0.431872 | − | 0.0524388i | ||||
\(610\) | −3.30896 | − | 8.72500i | −0.133976 | − | 0.353265i | ||||
\(611\) | 14.3136 | − | 2.26752i | 0.579066 | − | 0.0917339i | ||||
\(612\) | −14.7379 | + | 38.8606i | −0.595743 | + | 1.57085i | ||||
\(613\) | −4.06549 | + | 16.4944i | −0.164204 | + | 0.666201i | 0.829914 | + | 0.557892i | \(0.188390\pi\) |
−0.994117 | + | 0.108309i | \(0.965457\pi\) | |||||||
\(614\) | −27.5559 | + | 6.79192i | −1.11207 | + | 0.274100i | ||||
\(615\) | −16.6929 | + | 24.1839i | −0.673123 | + | 0.975187i | ||||
\(616\) | −23.4658 | − | 44.7103i | −0.945462 | − | 1.80143i | ||||
\(617\) | −1.45033 | − | 5.88422i | −0.0583881 | − | 0.236890i | 0.934496 | − | 0.355973i | \(-0.115851\pi\) |
−0.992884 | + | 0.119083i | \(0.962004\pi\) | |||||||
\(618\) | 27.1730 | + | 3.29940i | 1.09306 | + | 0.132721i | ||||
\(619\) | −15.0838 | + | 5.72053i | −0.606269 | + | 0.229928i | −0.638586 | − | 0.769550i | \(-0.720481\pi\) |
0.0323173 | + | 0.999478i | \(0.489711\pi\) | |||||||
\(620\) | −2.18696 | + | 5.76654i | −0.0878305 | + | 0.231590i | ||||
\(621\) | −68.3601 | − | 35.8782i | −2.74320 | − | 1.43974i | ||||
\(622\) | 1.82481 | + | 7.40355i | 0.0731682 | + | 0.296855i | ||||
\(623\) | 13.8124 | + | 20.0107i | 0.553381 | + | 0.801711i | ||||
\(624\) | −0.654813 | − | 4.13348i | −0.0262135 | − | 0.165472i | ||||
\(625\) | 0.568065 | − | 0.822984i | 0.0227226 | − | 0.0329194i | ||||
\(626\) | 0.696443 | + | 0.264126i | 0.0278355 | + | 0.0105566i | ||||
\(627\) | 16.6182 | − | 43.8185i | 0.663665 | − | 1.74994i | ||||
\(628\) | −0.467448 | − | 3.84978i | −0.0186532 | − | 0.153623i | ||||
\(629\) | −1.77358 | + | 0.215352i | −0.0707173 | + | 0.00858663i | ||||
\(630\) | 19.0625 | + | 21.5171i | 0.759468 | + | 0.857262i | ||||
\(631\) | −31.9370 | − | 22.0445i | −1.27139 | − | 0.877577i | −0.274915 | − | 0.961468i | \(-0.588650\pi\) |
−0.996475 | + | 0.0838913i | \(0.973265\pi\) | |||||||
\(632\) | 12.7611 | + | 14.4043i | 0.507610 | + | 0.572973i | ||||
\(633\) | 31.6489 | − | 16.6106i | 1.25793 | − | 0.660213i | ||||
\(634\) | −0.822853 | − | 6.77681i | −0.0326797 | − | 0.269141i | ||||
\(635\) | −3.40370 | + | 1.29085i | −0.135072 | + | 0.0512260i | ||||
\(636\) | 1.49730 | + | 1.32649i | 0.0593717 | + | 0.0525987i | ||||
\(637\) | −17.6393 | + | 52.1417i | −0.698896 | + | 2.06593i | ||||
\(638\) | 1.86571 | − | 1.65288i | 0.0738642 | − | 0.0654380i | ||||
\(639\) | −30.7858 | + | 58.6574i | −1.21787 | + | 2.32045i | ||||
\(640\) | 3.17848 | + | 4.60482i | 0.125640 | + | 0.182022i | ||||
\(641\) | 18.3375 | + | 16.2456i | 0.724286 | + | 0.641662i | 0.942487 | − | 0.334242i | \(-0.108480\pi\) |
−0.218201 | + | 0.975904i | \(0.570019\pi\) | |||||||
\(642\) | 0.620681 | − | 2.51820i | 0.0244963 | − | 0.0993854i | ||||
\(643\) | −8.28655 | − | 3.14267i | −0.326789 | − | 0.123935i | 0.185754 | − | 0.982596i | \(-0.440527\pi\) |
−0.512543 | + | 0.858661i | \(0.671297\pi\) | |||||||
\(644\) | −17.4056 | − | 33.1636i | −0.685877 | − | 1.30683i | ||||
\(645\) | −1.79242 | + | 3.41518i | −0.0705766 | + | 0.134473i | ||||
\(646\) | 20.0538 | + | 4.94282i | 0.789006 | + | 0.194473i | ||||
\(647\) | −20.0969 | + | 17.8043i | −0.790091 | + | 0.699960i | −0.958291 | − | 0.285793i | \(-0.907743\pi\) |
0.168200 | + | 0.985753i | \(0.446205\pi\) | |||||||
\(648\) | 20.0609 | + | 38.2229i | 0.788068 | + | 1.50154i | ||||
\(649\) | −30.7098 | − | 16.1177i | −1.20546 | − | 0.632677i | ||||
\(650\) | −3.14752 | − | 1.06479i | −0.123456 | − | 0.0417647i | ||||
\(651\) | −69.4215 | + | 36.4352i | −2.72084 | + | 1.42801i | ||||
\(652\) | −16.0394 | − | 11.0712i | −0.628152 | − | 0.433582i | ||||
\(653\) | −19.3793 | −0.758372 | −0.379186 | − | 0.925321i | \(-0.623796\pi\) | ||||
−0.379186 | + | 0.925321i | \(0.623796\pi\) | |||||||
\(654\) | −19.9497 | −0.780094 | ||||||||
\(655\) | −0.918171 | − | 0.633768i | −0.0358759 | − | 0.0247634i | ||||
\(656\) | 3.52320 | − | 0.427794i | 0.137558 | − | 0.0167026i | ||||
\(657\) | − | 73.8316i | − | 2.88044i | ||||||
\(658\) | 17.3514 | + | 2.10684i | 0.676428 | + | 0.0821332i | ||||
\(659\) | 17.9631 | + | 26.0241i | 0.699744 | + | 1.01375i | 0.998238 | + | 0.0593421i | \(0.0189003\pi\) |
−0.298494 | + | 0.954411i | \(0.596484\pi\) | |||||||
\(660\) | −12.7647 | − | 3.14622i | −0.496867 | − | 0.122467i | ||||
\(661\) | −17.2152 | + | 11.8828i | −0.669595 | + | 0.462188i | −0.853732 | − | 0.520713i | \(-0.825666\pi\) |
0.184137 | + | 0.982901i | \(0.441051\pi\) | |||||||
\(662\) | −18.5114 | − | 4.56265i | −0.719466 | − | 0.177332i | ||||
\(663\) | 32.8462 | − | 51.4855i | 1.27564 | − | 1.99953i | ||||
\(664\) | 49.8350 | − | 12.2832i | 1.93397 | − | 0.476682i | ||||
\(665\) | −12.8354 | + | 14.4882i | −0.497735 | + | 0.561827i | ||||
\(666\) | −1.13161 | + | 1.63942i | −0.0438490 | + | 0.0635262i | ||||
\(667\) | 3.78914 | − | 3.35688i | 0.146716 | − | 0.129979i | ||||
\(668\) | 4.54218 | − | 3.13524i | 0.175742 | − | 0.121306i | ||||
\(669\) | 52.3751 | − | 36.1520i | 2.02494 | − | 1.39772i | ||||
\(670\) | −1.58374 | + | 3.01756i | −0.0611850 | + | 0.116578i | ||||
\(671\) | 8.93036 | + | 36.2319i | 0.344753 | + | 1.39872i | ||||
\(672\) | −9.63122 | + | 79.3202i | −0.371532 | + | 3.05984i | ||||
\(673\) | −3.54668 | − | 9.35182i | −0.136714 | − | 0.360486i | 0.849122 | − | 0.528197i | \(-0.177132\pi\) |
−0.985836 | + | 0.167711i | \(0.946362\pi\) | |||||||
\(674\) | −0.0289019 | − | 0.0326236i | −0.00111326 | − | 0.00125661i | ||||
\(675\) | 11.1927 | 0.430809 | ||||||||
\(676\) | 0.721787 | − | 14.9419i | 0.0277610 | − | 0.574688i | ||||
\(677\) | −36.4955 | −1.40264 | −0.701319 | − | 0.712848i | \(-0.747405\pi\) | ||||
−0.701319 | + | 0.712848i | \(0.747405\pi\) | |||||||
\(678\) | −34.6837 | − | 39.1498i | −1.33202 | − | 1.50354i | ||||
\(679\) | −22.2831 | − | 58.7557i | −0.855146 | − | 2.25484i | ||||
\(680\) | 1.91225 | − | 15.7488i | 0.0733313 | − | 0.603938i | ||||
\(681\) | −5.27703 | − | 21.4097i | −0.202216 | − | 0.820423i | ||||
\(682\) | −8.45913 | + | 16.1175i | −0.323917 | + | 0.617172i | ||||
\(683\) | 0.758354 | − | 0.523454i | 0.0290176 | − | 0.0200294i | −0.553468 | − | 0.832871i | \(-0.686696\pi\) |
0.582485 | + | 0.812841i | \(0.302080\pi\) | |||||||
\(684\) | −25.6791 | + | 17.7250i | −0.981867 | + | 0.677734i | ||||
\(685\) | 13.7708 | − | 12.1998i | 0.526154 | − | 0.466132i | ||||
\(686\) | −20.4211 | + | 29.5850i | −0.779680 | + | 1.12956i | ||||
\(687\) | −17.0254 | + | 19.2177i | −0.649559 | + | 0.733201i | ||||
\(688\) | 0.452294 | − | 0.111481i | 0.0172436 | − | 0.00425016i | ||||
\(689\) | −1.20812 | − | 1.62116i | −0.0460257 | − | 0.0617614i | ||||
\(690\) | 19.1334 | + | 4.71595i | 0.728394 | + | 0.179533i | ||||
\(691\) | −36.6835 | + | 25.3208i | −1.39551 | + | 0.963249i | −0.396530 | + | 0.918022i | \(0.629786\pi\) |
−0.998977 | + | 0.0452274i | \(0.985599\pi\) | |||||||
\(692\) | 2.64527 | + | 0.652000i | 0.100558 | + | 0.0247853i | ||||
\(693\) | −65.3033 | − | 94.6081i | −2.48067 | − | 3.59387i | ||||
\(694\) | −12.8436 | − | 1.55949i | −0.487535 | − | 0.0591975i | ||||
\(695\) | − | 3.11297i | − | 0.118082i | ||||||
\(696\) | −6.55802 | + | 0.796287i | −0.248581 | + | 0.0301832i | ||||
\(697\) | 42.6228 | + | 29.4204i | 1.61445 | + | 1.11438i | ||||
\(698\) | −0.976160 | −0.0369482 | ||||||||
\(699\) | −64.3374 | −2.43347 | ||||||||
\(700\) | 4.46876 | + | 3.08456i | 0.168903 | + | 0.116585i | ||||
\(701\) | 17.1493 | − | 9.00065i | 0.647720 | − | 0.339950i | −0.108663 | − | 0.994079i | \(-0.534657\pi\) |
0.756383 | + | 0.654129i | \(0.226965\pi\) | |||||||
\(702\) | −10.2043 | − | 35.7634i | −0.385135 | − | 1.34980i | ||||
\(703\) | −1.18767 | − | 0.623336i | −0.0447937 | − | 0.0235096i | ||||
\(704\) | 9.90355 | + | 18.8696i | 0.373254 | + | 0.711177i | ||||
\(705\) | 9.32674 | − | 8.26277i | 0.351265 | − | 0.311194i | ||||
\(706\) | −4.41392 | − | 1.08793i | −0.166120 | − | 0.0409449i | ||||
\(707\) | −3.23690 | + | 6.16740i | −0.121736 | + | 0.231949i | ||||
\(708\) | 15.6015 | + | 29.7263i | 0.586342 | + | 1.11718i | ||||
\(709\) | 38.9393 | + | 14.7677i | 1.46240 | + | 0.554613i | 0.952208 | − | 0.305450i | \(-0.0988068\pi\) |
0.510187 | + | 0.860063i | \(0.329576\pi\) | |||||||
\(710\) | 2.21014 | − | 8.96690i | 0.0829452 | − | 0.336522i | ||||
\(711\) | 32.7936 | + | 29.0526i | 1.22986 | + | 1.08956i | ||||
\(712\) | −8.49917 | − | 12.3132i | −0.318520 | − | 0.461456i | ||||
\(713\) | −17.1799 | + | 32.7336i | −0.643394 | + | 1.22588i | ||||
\(714\) | 55.1331 | − | 48.8437i | 2.06331 | − | 1.82793i | ||||
\(715\) | 11.9819 | + | 5.74426i | 0.448098 | + | 0.214823i | ||||
\(716\) | −15.0380 | − | 13.3225i | −0.561996 | − | 0.497885i | ||||
\(717\) | −37.5012 | + | 14.2223i | −1.40051 | + | 0.531142i | ||||
\(718\) | −3.27962 | − | 27.0101i | −0.122394 | − | 1.00801i | ||||
\(719\) | 3.90498 | − | 2.04949i | 0.145631 | − | 0.0764331i | −0.390334 | − | 0.920674i | \(-0.627640\pi\) |
0.535965 | + | 0.844240i | \(0.319948\pi\) | |||||||
\(720\) | −1.64127 | − | 1.85261i | −0.0611665 | − | 0.0690427i | ||||
\(721\) | 37.2079 | + | 25.6828i | 1.38569 | + | 0.956476i | ||||
\(722\) | −1.32866 | − | 1.49975i | −0.0494478 | − | 0.0558150i | ||||
\(723\) | 14.4976 | − | 1.76033i | 0.539172 | − | 0.0654673i | ||||
\(724\) | −3.26197 | − | 26.8647i | −0.121230 | − | 0.998419i | ||||
\(725\) | −0.260248 | + | 0.686218i | −0.00966537 | + | 0.0254855i | ||||
\(726\) | −6.89652 | − | 2.61550i | −0.255954 | − | 0.0970704i | ||||
\(727\) | 28.7766 | − | 41.6900i | 1.06726 | − | 1.54620i | 0.251461 | − | 0.967867i | \(-0.419089\pi\) |
0.815802 | − | 0.578331i | \(-0.196296\pi\) | |||||||
\(728\) | 15.8308 | − | 46.7956i | 0.586728 | − | 1.73436i | ||||
\(729\) | −3.30479 | − | 4.78782i | −0.122400 | − | 0.177327i | ||||
\(730\) | 2.46324 | + | 9.99376i | 0.0911687 | + | 0.369886i | ||||
\(731\) | 6.01908 | + | 3.15906i | 0.222624 | + | 0.116842i | ||||
\(732\) | 12.8087 | − | 33.7738i | 0.473424 | − | 1.24832i | ||||
\(733\) | −7.53910 | + | 2.85920i | −0.278463 | + | 0.105607i | −0.489883 | − | 0.871788i | \(-0.662960\pi\) |
0.211420 | + | 0.977395i | \(0.432191\pi\) | |||||||
\(734\) | 10.3774 | + | 1.26004i | 0.383036 | + | 0.0465090i | ||||
\(735\) | 11.3263 | + | 45.9524i | 0.417775 | + | 1.69498i | ||||
\(736\) | 17.5088 | + | 33.3602i | 0.645383 | + | 1.22967i | ||||
\(737\) | 7.74172 | − | 11.2158i | 0.285170 | − | 0.413140i | ||||
\(738\) | 56.0678 | − | 13.8195i | 2.06388 | − | 0.508702i | ||||
\(739\) | 1.28416 | − | 5.21005i | 0.0472386 | − | 0.191655i | −0.942582 | − | 0.333975i | \(-0.891610\pi\) |
0.989821 | + | 0.142320i | \(0.0454562\pi\) | |||||||
\(740\) | −0.133430 | + | 0.351826i | −0.00490498 | + | 0.0129334i | ||||
\(741\) | 42.2518 | − | 17.8027i | 1.55216 | − | 0.653998i | ||||
\(742\) | −0.864703 | − | 2.28003i | −0.0317442 | − | 0.0837027i | ||||
\(743\) | −25.6203 | + | 3.11086i | −0.939917 | + | 0.114127i | −0.576132 | − | 0.817357i | \(-0.695439\pi\) |
−0.363785 | + | 0.931483i | \(0.618516\pi\) | |||||||
\(744\) | 42.7172 | − | 22.4197i | 1.56609 | − | 0.821946i | ||||
\(745\) | −6.95220 | − | 18.3315i | −0.254709 | − | 0.671613i | ||||
\(746\) | 19.7283i | 0.722305i | ||||||||
\(747\) | 109.259 | − | 41.4365i | 3.99758 | − | 1.51608i | ||||
\(748\) | −5.54506 | + | 22.4972i | −0.202748 | + | 0.822579i | ||||
\(749\) | 2.84066 | − | 3.20644i | 0.103796 | − | 0.117161i | ||||
\(750\) | −2.77391 | + | 0.683706i | −0.101289 | + | 0.0249654i | ||||
\(751\) | 35.9332 | + | 31.8341i | 1.31122 | + | 1.16164i | 0.975578 | + | 0.219653i | \(0.0704927\pi\) |
0.335645 | + | 0.941989i | \(0.391046\pi\) | |||||||
\(752\) | −1.49395 | − | 0.181398i | −0.0544786 | − | 0.00661490i | ||||
\(753\) | 1.97935 | − | 16.3014i | 0.0721315 | − | 0.594057i | ||||
\(754\) | 2.42989 | + | 0.205937i | 0.0884913 | + | 0.00749979i | ||||
\(755\) | −0.332029 | − | 2.73451i | −0.0120838 | − | 0.0995189i | ||||
\(756\) | 60.7760i | 2.21040i | ||||||||
\(757\) | 2.20972 | − | 18.1987i | 0.0803138 | − | 0.661443i | −0.895842 | − | 0.444372i | \(-0.853427\pi\) |
0.976156 | − | 0.217071i | \(-0.0696502\pi\) | |||||||
\(758\) | 11.5219 | + | 6.04714i | 0.418493 | + | 0.219642i | ||||
\(759\) | −73.6832 | − | 27.9444i | −2.67453 | − | 1.01432i | ||||
\(760\) | 7.89801 | − | 8.91501i | 0.286491 | − | 0.323381i | ||||
\(761\) | −16.6712 | + | 18.8179i | −0.604329 | + | 0.682147i | −0.968451 | − | 0.249205i | \(-0.919831\pi\) |
0.364121 | + | 0.931351i | \(0.381369\pi\) | |||||||
\(762\) | 9.72411 | + | 3.68787i | 0.352267 | + | 0.133597i | ||||
\(763\) | −29.1764 | − | 15.3129i | −1.05626 | − | 0.554366i | ||||
\(764\) | 1.15370 | − | 9.50157i | 0.0417394 | − | 0.343755i | ||||
\(765\) | − | 36.1178i | − | 1.30584i | ||||||
\(766\) | −4.22939 | − | 34.8322i | −0.152814 | − | 1.25854i | ||||
\(767\) | −9.31004 | − | 32.6293i | −0.336166 | − | 1.17818i | ||||
\(768\) | 6.24837 | − | 51.4600i | 0.225469 | − | 1.85690i | ||||
\(769\) | −1.22736 | − | 0.149029i | −0.0442599 | − | 0.00537413i | 0.0983768 | − | 0.995149i | \(-0.468635\pi\) |
−0.142637 | + | 0.989775i | \(0.545558\pi\) | |||||||
\(770\) | 11.9958 | + | 10.6273i | 0.432298 | + | 0.382983i | ||||
\(771\) | 9.28318 | − | 2.28810i | 0.334326 | − | 0.0824038i | ||||
\(772\) | −2.67571 | + | 3.02025i | −0.0963008 | + | 0.108701i | ||||
\(773\) | −0.767330 | + | 3.11318i | −0.0275989 | + | 0.111973i | −0.983126 | − | 0.182931i | \(-0.941442\pi\) |
0.955527 | + | 0.294904i | \(0.0952877\pi\) | |||||||
\(774\) | 7.08683 | − | 2.68768i | 0.254731 | − | 0.0966067i | ||||
\(775\) | − | 5.35954i | − | 0.192520i | ||||||
\(776\) | 13.7115 | + | 36.1542i | 0.492213 | + | 1.29786i | ||||
\(777\) | −4.23552 | + | 2.22297i | −0.151948 | + | 0.0797486i | ||||
\(778\) | −1.81365 | + | 0.220218i | −0.0650227 | + | 0.00789518i | ||||
\(779\) | 13.7878 | + | 36.3554i | 0.493999 | + | 1.30257i | ||||
\(780\) | −6.38650 | − | 11.1645i | −0.228673 | − | 0.399754i | ||||
\(781\) | −13.0962 | + | 34.5319i | −0.468619 | + | 1.23565i | ||||
\(782\) | 8.31162 | − | 33.7216i | 0.297223 | − | 1.20588i | ||||
\(783\) | −7.97576 | + | 1.96585i | −0.285031 | + | 0.0702537i | ||||
\(784\) | 3.24709 | − | 4.70422i | 0.115967 | − | 0.168008i | ||||
\(785\) | 1.56617 | + | 2.98409i | 0.0558991 | + | 0.106507i | ||||
\(786\) | 0.762785 | + | 3.09474i | 0.0272076 | + | 0.110386i | ||||
\(787\) | 4.91376 | + | 0.596638i | 0.175157 | + | 0.0212679i | 0.207645 | − | 0.978204i | \(-0.433420\pi\) |
−0.0324884 | + | 0.999472i | \(0.510343\pi\) | |||||||
\(788\) | −10.1827 | + | 3.86180i | −0.362745 | + | 0.137571i | ||||
\(789\) | 6.70538 | − | 17.6806i | 0.238718 | − | 0.629447i | ||||
\(790\) | −5.40819 | − | 2.83844i | −0.192415 | − | 0.100987i | ||||
\(791\) | −20.6743 | − | 83.8790i | −0.735094 | − | 2.98239i | ||||
\(792\) | 40.1831 | + | 58.2153i | 1.42784 | + | 2.06859i | ||||
\(793\) | −19.6356 | + | 30.7783i | −0.697280 | + | 1.09297i | ||||
\(794\) | 2.90771 | − | 4.21255i | 0.103191 | − | 0.149498i | ||||
\(795\) | −1.62540 | − | 0.616433i | −0.0576470 | − | 0.0218626i | ||||
\(796\) | 2.48524 | − | 6.55303i | 0.0880869 | − | 0.232266i | ||||
\(797\) | 1.18655 | + | 9.77210i | 0.0420297 | + | 0.346145i | 0.998520 | + | 0.0543820i | \(0.0173189\pi\) |
−0.956491 | + | 0.291763i | \(0.905758\pi\) | |||||||
\(798\) | 54.8954 | − | 6.66550i | 1.94327 | − | 0.235956i | ||||
\(799\) | −14.5627 | − | 16.4379i | −0.515192 | − | 0.581532i | ||||
\(800\) | −4.49525 | − | 3.10285i | −0.158931 | − | 0.109702i | ||||
\(801\) | −22.5876 | − | 25.4961i | −0.798093 | − | 0.900860i | ||||
\(802\) | 21.8252 | − | 11.4547i | 0.770674 | − | 0.404481i | ||||
\(803\) | −4.96143 | − | 40.8610i | −0.175085 | − | 1.44195i | ||||
\(804\) | −12.3345 | + | 4.67787i | −0.435005 | + | 0.164976i | ||||
\(805\) | 24.3626 | + | 21.5834i | 0.858671 | + | 0.760716i | ||||
\(806\) | −17.1250 | + | 4.88622i | −0.603202 | + | 0.172110i | ||||
\(807\) | −65.3524 | + | 57.8972i | −2.30051 | + | 2.03808i | ||||
\(808\) | 1.99176 | − | 3.79499i | 0.0700700 | − | 0.133507i | ||||
\(809\) | −23.1016 | − | 33.4684i | −0.812207 | − | 1.17669i | −0.981565 | − | 0.191131i | \(-0.938785\pi\) |
0.169357 | − | 0.985555i | \(-0.445831\pi\) | |||||||
\(810\) | −10.2552 | − | 9.08534i | −0.360332 | − | 0.319226i | ||||
\(811\) | −3.27087 | + | 13.2704i | −0.114856 | + | 0.465988i | 0.885144 | + | 0.465317i | \(0.154060\pi\) |
−1.00000 | 0.000670746i | \(0.999786\pi\) | ||||||||
\(812\) | −3.72613 | − | 1.41313i | −0.130761 | − | 0.0495913i | ||||
\(813\) | 44.4636 | + | 84.7182i | 1.55941 | + | 2.97120i | ||||
\(814\) | −0.516105 | + | 0.983356i | −0.0180895 | + | 0.0344666i | ||||
\(815\) | 16.4445 | + | 4.05322i | 0.576027 | + | 0.141978i | ||||
\(816\) | −4.74694 | + | 4.20542i | −0.166176 | + | 0.147219i | ||||
\(817\) | 2.37168 | + | 4.51886i | 0.0829747 | + | 0.158095i | ||||
\(818\) | −14.9659 | − | 7.85472i | −0.523271 | − | 0.274634i | ||||
\(819\) | 22.9368 | − | 110.105i | 0.801475 | − | 3.84738i | ||||
\(820\) | 9.65823 | − | 5.06903i | 0.337280 | − | 0.177018i | ||||
\(821\) | −4.23641 | − | 2.92418i | −0.147852 | − | 0.102055i | 0.491842 | − | 0.870684i | \(-0.336324\pi\) |
−0.639694 | + | 0.768630i | \(0.720939\pi\) | |||||||
\(822\) | −52.5604 | −1.83325 | ||||||||
\(823\) | 3.96142 | 0.138086 | 0.0690432 | − | 0.997614i | \(-0.478005\pi\) | ||||
0.0690432 | + | 0.997614i | \(0.478005\pi\) | |||||||
\(824\) | −22.8952 | − | 15.8034i | −0.797591 | − | 0.550537i | ||||
\(825\) | 11.3415 | − | 1.37711i | 0.394862 | − | 0.0479449i | ||||
\(826\) | − | 40.9247i | − | 1.42395i | ||||||
\(827\) | 44.3669 | + | 5.38712i | 1.54279 | + | 0.187328i | 0.847263 | − | 0.531173i | \(-0.178249\pi\) |
0.695525 | + | 0.718502i | \(0.255172\pi\) | |||||||
\(828\) | 29.8056 | + | 43.1809i | 1.03582 | + | 1.50064i | ||||
\(829\) | 9.44928 | + | 2.32904i | 0.328187 | + | 0.0808908i | 0.399967 | − | 0.916530i | \(-0.369022\pi\) |
−0.0717797 | + | 0.997421i | \(0.522868\pi\) | |||||||
\(830\) | −13.4067 | + | 9.25401i | −0.465355 | + | 0.321211i | ||||
\(831\) | −58.0147 | − | 14.2993i | −2.01251 | − | 0.496039i | ||||
\(832\) | −6.68127 | + | 19.7497i | −0.231631 | + | 0.684699i | ||||
\(833\) | 80.9888 | − | 19.9620i | 2.80610 | − | 0.691641i | ||||
\(834\) | −5.89750 | + | 6.65690i | −0.204214 | + | 0.230510i | ||||
\(835\) | −2.72460 | + | 3.94726i | −0.0942887 | + | 0.136601i | ||||
\(836\) | −13.0206 | + | 11.5353i | −0.450328 | + | 0.398956i | ||||
\(837\) | 49.3691 | − | 34.0770i | 1.70645 | − | 1.17787i | ||||
\(838\) | 19.3623 | − | 13.3648i | 0.668860 | − | 0.461681i | ||||
\(839\) | −19.0397 | + | 36.2771i | −0.657323 | + | 1.25242i | 0.297351 | + | 0.954768i | \(0.403897\pi\) |
−0.954673 | + | 0.297655i | \(0.903795\pi\) | |||||||
\(840\) | −10.1650 | − | 41.2409i | −0.350725 | − | 1.42295i | ||||
\(841\) | −3.43064 | + | 28.2539i | −0.118298 | + | 0.974271i | ||||
\(842\) | 2.40673 | + | 6.34602i | 0.0829413 | + | 0.218698i | ||||
\(843\) | −12.4440 | − | 14.0464i | −0.428596 | − | 0.483785i | ||||
\(844\) | −13.2675 | −0.456685 | ||||||||
\(845\) | 4.01801 | + | 12.3635i | 0.138224 | + | 0.425317i | ||||
\(846\) | −24.4860 | −0.841846 | ||||||||
\(847\) | −8.07854 | − | 9.11879i | −0.277582 | − | 0.313325i | ||||
\(848\) | 0.0744505 | + | 0.196310i | 0.00255664 | + | 0.00674130i | ||||
\(849\) | −6.25930 | + | 51.5499i | −0.214818 | + | 1.76919i | ||||
\(850\) | 1.20500 | + | 4.88887i | 0.0413311 | + | 0.167687i | ||||
\(851\) | −1.04817 | + | 1.99713i | −0.0359310 | + | 0.0684607i | ||||
\(852\) | 29.4209 | − | 20.3078i | 1.00794 | − | 0.695732i | ||||
\(853\) | 5.79611 | − | 4.00077i | 0.198455 | − | 0.136984i | −0.464693 | − | 0.885472i | \(-0.653835\pi\) |
0.663148 | + | 0.748488i | \(0.269220\pi\) | |||||||
\(854\) | −32.9588 | + | 29.1989i | −1.12783 | + | 0.999167i | ||||
\(855\) | 15.4035 | − | 22.3158i | 0.526787 | − | 0.763183i | ||||
\(856\) | −1.74795 | + | 1.97302i | −0.0597436 | + | 0.0674365i | ||||
\(857\) | 15.5278 | − | 3.82727i | 0.530421 | − | 0.130737i | 0.0349955 | − | 0.999387i | \(-0.488858\pi\) |
0.495425 | + | 0.868650i | \(0.335012\pi\) | |||||||
\(858\) | −14.7401 | − | 34.9833i | −0.503219 | − | 1.19431i | ||||
\(859\) | 49.6464 | + | 12.2367i | 1.69391 | + | 0.417512i | 0.963973 | − | 0.265999i | \(-0.0857017\pi\) |
0.729940 | + | 0.683511i | \(0.239548\pi\) | |||||||
\(860\) | 1.17824 | − | 0.813281i | 0.0401777 | − | 0.0277327i | ||||
\(861\) | 134.634 | + | 33.1843i | 4.58831 | + | 1.13092i | ||||
\(862\) | 5.67633 | + | 8.22359i | 0.193337 | + | 0.280097i | ||||
\(863\) | −11.1891 | − | 1.35861i | −0.380883 | − | 0.0462475i | −0.0721434 | − | 0.997394i | \(-0.522984\pi\) |
−0.308739 | + | 0.951147i | \(0.599907\pi\) | |||||||
\(864\) | − | 61.1363i | − | 2.07990i | ||||||
\(865\) | −2.35034 | + | 0.285382i | −0.0799138 | + | 0.00970329i | ||||
\(866\) | −5.73429 | − | 3.95810i | −0.194859 | − | 0.134502i | ||||
\(867\) | −39.8432 | −1.35315 | ||||||||
\(868\) | 29.1020 | 0.987788 | ||||||||
\(869\) | 20.1015 | + | 13.8750i | 0.681896 | + | 0.470679i | ||||
\(870\) | 1.85656 | − | 0.974396i | 0.0629432 | − | 0.0330351i | ||||
\(871\) | 13.1690 | − | 2.08619i | 0.446213 | − | 0.0706878i | ||||
\(872\) | 17.9531 | + | 9.42252i | 0.607969 | + | 0.319087i | ||||
\(873\) | 40.9101 | + | 77.9476i | 1.38460 | + | 2.63813i | ||||
\(874\) | 19.5169 | − | 17.2905i | 0.660170 | − | 0.584860i | ||||
\(875\) | −4.58163 | − | 1.12927i | −0.154887 | − | 0.0381763i | ||||
\(876\) | −18.5159 | + | 35.2791i | −0.625595 | + | 1.19197i | ||||
\(877\) | 3.86637 | + | 7.36675i | 0.130558 | + | 0.248757i | 0.941956 | − | 0.335737i | \(-0.108985\pi\) |
−0.811398 | + | 0.584494i | \(0.801293\pi\) | |||||||
\(878\) | −27.7402 | − | 10.5205i | −0.936185 | − | 0.355048i | ||||
\(879\) | −10.5379 | + | 42.7541i | −0.355436 | + | 1.44206i | ||||
\(880\) | −1.03283 | − | 0.915009i | −0.0348167 | − | 0.0308449i | ||||
\(881\) | −9.39951 | − | 13.6175i | −0.316677 | − | 0.458787i | 0.632029 | − | 0.774945i | \(-0.282222\pi\) |
−0.948706 | + | 0.316158i | \(0.897607\pi\) | |||||||
\(882\) | 43.2211 | − | 82.3509i | 1.45533 | − | 2.77290i | ||||
\(883\) | −41.6499 | + | 36.8986i | −1.40163 | + | 1.24174i | −0.467889 | + | 0.883787i | \(0.654985\pi\) |
−0.933741 | + | 0.357949i | \(0.883476\pi\) | |||||||
\(884\) | −19.6769 | + | 11.2559i | −0.661807 | + | 0.378576i | ||||
\(885\) | −21.8375 | − | 19.3463i | −0.734059 | − | 0.650319i | ||||
\(886\) | 3.25909 | − | 1.23601i | 0.109491 | − | 0.0415245i | ||||
\(887\) | −3.68416 | − | 30.3418i | −0.123702 | − | 1.01878i | −0.913904 | − | 0.405931i | \(-0.866947\pi\) |
0.790201 | − | 0.612847i | \(-0.209976\pi\) | |||||||
\(888\) | 2.60624 | − | 1.36786i | 0.0874598 | − | 0.0459024i | ||||
\(889\) | 11.3908 | + | 12.8575i | 0.382034 | + | 0.431228i | ||||
\(890\) | 3.90806 | + | 2.69754i | 0.130998 | + | 0.0904216i | ||||
\(891\) | 36.3323 | + | 41.0107i | 1.21718 | + | 1.37391i | ||||
\(892\) | −23.4505 | + | 2.84741i | −0.785181 | + | 0.0953382i | ||||
\(893\) | −1.98732 | − | 16.3670i | −0.0665030 | − | 0.547701i | ||||
\(894\) | −19.8619 | + | 52.3716i | −0.664282 | + | 1.75157i | ||||
\(895\) | 16.3246 | + | 6.19110i | 0.545671 | + | 0.206946i | ||||
\(896\) | 14.9985 | − | 21.7290i | 0.501063 | − | 0.725915i | ||||
\(897\) | −29.9362 | − | 71.0488i | −0.999541 | − | 2.37225i | ||||
\(898\) | 3.40721 | + | 4.93620i | 0.113700 | + | 0.164723i | ||||
\(899\) | 0.941329 | + | 3.81912i | 0.0313951 | + | 0.127375i | ||||
\(900\) | −6.73547 | − | 3.53505i | −0.224516 | − | 0.117835i | ||||
\(901\) | −1.08643 | + | 2.86469i | −0.0361943 | + | 0.0954366i | ||||
\(902\) | 30.1013 | − | 11.4159i | 1.00226 | − | 0.380108i | ||||
\(903\) | 18.0674 | + | 2.19378i | 0.601245 | + | 0.0730044i | ||||
\(904\) | 12.7215 | + | 51.6133i | 0.423112 | + | 1.71663i | ||||
\(905\) | 10.9291 | + | 20.8237i | 0.363297 | + | 0.692204i | ||||
\(906\) | −4.47047 | + | 6.47660i | −0.148521 | + | 0.215171i | ||||
\(907\) | −19.7809 | + | 4.87555i | −0.656813 | + | 0.161890i | −0.553617 | − | 0.832771i | \(-0.686753\pi\) |
−0.103196 | + | 0.994661i | \(0.532907\pi\) | |||||||
\(908\) | −1.95878 | + | 7.94708i | −0.0650044 | + | 0.263733i | ||||
\(909\) | 3.46007 | − | 9.12346i | 0.114763 | − | 0.302606i | ||||
\(910\) | 0.568732 | + | 15.6689i | 0.0188533 | + | 0.519420i | ||||
\(911\) | −0.178853 | − | 0.471596i | −0.00592565 | − | 0.0156247i | 0.932021 | − | 0.362405i | \(-0.118044\pi\) |
−0.937946 | + | 0.346780i | \(0.887275\pi\) | |||||||
\(912\) | −4.72646 | + | 0.573896i | −0.156509 | + | 0.0190036i | ||||
\(913\) | 57.6834 | − | 30.2746i | 1.90904 | − | 1.00194i | ||||
\(914\) | 9.59358 | + | 25.2962i | 0.317328 | + | 0.836724i | ||||
\(915\) | 31.3901i | 1.03772i | ||||||||
\(916\) | 8.91084 | − | 3.37944i | 0.294422 | − | 0.111660i | ||||
\(917\) | −1.25988 | + | 5.11155i | −0.0416050 | + | 0.168798i | ||||
\(918\) | −37.3719 | + | 42.1842i | −1.23346 | + | 1.39229i | ||||
\(919\) | 55.4037 | − | 13.6558i | 1.82760 | − | 0.450463i | 0.832912 | − | 0.553406i | \(-0.186672\pi\) |
0.994687 | + | 0.102944i | \(0.0328261\pi\) | |||||||
\(920\) | −14.9911 | − | 13.2809i | −0.494241 | − | 0.437860i | ||||
\(921\) | 94.7741 | + | 11.5077i | 3.12291 | + | 0.379190i | ||||
\(922\) | −3.85888 | + | 31.7807i | −0.127085 | + | 1.04664i | ||||
\(923\) | −33.2972 | + | 14.0297i | −1.09599 | + | 0.461793i | ||||
\(924\) | 7.47765 | + | 61.5840i | 0.245997 | + | 2.02596i | ||||
\(925\) | − | 0.326994i | − | 0.0107515i | ||||||
\(926\) | −4.07836 | + | 33.5883i | −0.134023 | + | 1.10378i | ||||
\(927\) | −56.0811 | − | 29.4336i | −1.84194 | − | 0.966727i | ||||
\(928\) | 3.74821 | + | 1.42151i | 0.123041 | + | 0.0466634i | ||||
\(929\) | −28.3131 | + | 31.9589i | −0.928923 | + | 1.04854i | 0.0697772 | + | 0.997563i | \(0.477771\pi\) |
−0.998700 | + | 0.0509745i | \(0.983767\pi\) | |||||||
\(930\) | −10.1536 | + | 11.4610i | −0.332950 | + | 0.375823i | ||||
\(931\) | 58.5531 | + | 22.2063i | 1.91900 | + | 0.727781i | ||||
\(932\) | 21.1459 | + | 11.0982i | 0.692658 | + | 0.363535i | ||||
\(933\) | 3.09181 | − | 25.4633i | 0.101221 | − | 0.833631i | ||||
\(934\) | − | 12.7878i | − | 0.418430i | ||||||
\(935\) | −2.42709 | − | 19.9889i | −0.0793744 | − | 0.653707i | ||||
\(936\) | −14.1137 | + | 67.7509i | −0.461320 | + | 2.21451i | ||||
\(937\) | −6.42717 | + | 52.9325i | −0.209966 | + | 1.72923i | 0.382780 | + | 0.923839i | \(0.374967\pi\) |
−0.592747 | + | 0.805389i | \(0.701956\pi\) | |||||||
\(938\) | 15.9638 | + | 1.93836i | 0.521238 | + | 0.0632897i | ||||
\(939\) | −1.87547 | − | 1.66152i | −0.0612037 | − | 0.0542218i | ||||
\(940\) | −4.49077 | + | 1.10688i | −0.146473 | + | 0.0361023i | ||||
\(941\) | 14.6929 | − | 16.5849i | 0.478976 | − | 0.540652i | −0.458503 | − | 0.888693i | \(-0.651614\pi\) |
0.937480 | + | 0.348040i | \(0.113153\pi\) | |||||||
\(942\) | 2.30417 | − | 9.34839i | 0.0750740 | − | 0.304587i | ||||
\(943\) | 61.1337 | − | 23.1849i | 1.99079 | − | 0.755005i | ||||
\(944\) | 3.52359i | 0.114683i | ||||||||
\(945\) | −18.7287 | − | 49.3836i | −0.609245 | − | 1.60645i | ||||
\(946\) | 3.74149 | − | 1.96369i | 0.121646 | − | 0.0638450i | ||||
\(947\) | −20.9037 | + | 2.53817i | −0.679278 | + | 0.0824793i | −0.452902 | − | 0.891560i | \(-0.649611\pi\) |
−0.226377 | + | 0.974040i | \(0.572688\pi\) | |||||||
\(948\) | −8.38387 | − | 22.1065i | −0.272295 | − | 0.717984i | ||||
\(949\) | 25.5930 | − | 31.0913i | 0.830784 | − | 1.00927i | ||||
\(950\) | −1.34048 | + | 3.53454i | −0.0434908 | + | 0.114676i | ||||
\(951\) | −5.49567 | + | 22.2968i | −0.178209 | + | 0.723024i | ||||
\(952\) | −72.6850 | + | 17.9153i | −2.35574 | + | 0.580637i | ||||
\(953\) | 17.0985 | − | 24.7715i | 0.553876 | − | 0.802427i | −0.441623 | − | 0.897201i | \(-0.645597\pi\) |
0.995499 | + | 0.0947732i | \(0.0302126\pi\) | |||||||
\(954\) | 1.58753 | + | 3.02478i | 0.0513982 | + | 0.0979310i | ||||
\(955\) | 1.99056 | + | 8.07604i | 0.0644131 | + | 0.261334i | ||||
\(956\) | 14.7790 | + | 1.79449i | 0.477986 | + | 0.0580380i | ||||
\(957\) | −7.83992 | + | 2.97329i | −0.253429 | + | 0.0961129i | ||||
\(958\) | 4.28382 | − | 11.2955i | 0.138404 | − | 0.364941i | ||||
\(959\) | −76.8695 | − | 40.3442i | −2.48225 | − | 1.30278i | ||||
\(960\) | 4.29005 | + | 17.4054i | 0.138461 | + | 0.561758i | ||||
\(961\) | 1.29252 | + | 1.87254i | 0.0416942 | + | 0.0604044i | ||||
\(962\) | −1.04482 | + | 0.298116i | −0.0336864 | + | 0.00961165i | ||||
\(963\) | −3.40901 | + | 4.93881i | −0.109854 | + | 0.159151i | ||||
\(964\) | −5.06862 | − | 1.92227i | −0.163249 | − | 0.0619123i | ||||
\(965\) | 1.24343 | − | 3.27865i | 0.0400274 | − | 0.105543i | ||||
\(966\) | −11.2084 | − | 92.3096i | −0.360625 | − | 2.97001i | ||||
\(967\) | −33.5237 | + | 4.07052i | −1.07805 | + | 0.130899i | −0.640245 | − | 0.768171i | \(-0.721167\pi\) |
−0.437805 | + | 0.899070i | \(0.644244\pi\) | |||||||
\(968\) | 4.97097 | + | 5.61107i | 0.159773 | + | 0.180347i | ||||
\(969\) | −57.1796 | − | 39.4682i | −1.83687 | − | 1.26790i | ||||
\(970\) | −8.13811 | − | 9.18603i | −0.261299 | − | 0.294945i | ||||
\(971\) | −17.3029 | + | 9.08126i | −0.555276 | + | 0.291432i | −0.718926 | − | 0.695087i | \(-0.755366\pi\) |
0.163649 | + | 0.986519i | \(0.447673\pi\) | |||||||
\(972\) | −1.73524 | − | 14.2909i | −0.0556577 | − | 0.458382i | ||||
\(973\) | −13.7348 | + | 5.20891i | −0.440317 | + | 0.166990i | ||||
\(974\) | −1.00285 | − | 0.888447i | −0.0321334 | − | 0.0284677i | ||||
\(975\) | 8.62982 | + | 7.10369i | 0.276375 | + | 0.227500i | ||||
\(976\) | 2.83774 | − | 2.51401i | 0.0908337 | − | 0.0804716i | ||||
\(977\) | −7.80196 | + | 14.8654i | −0.249607 | + | 0.475586i | −0.977732 | − | 0.209858i | \(-0.932700\pi\) |
0.728125 | + | 0.685445i | \(0.240392\pi\) | |||||||
\(978\) | −27.4869 | − | 39.8216i | −0.878933 | − | 1.27335i | ||||
\(979\) | −14.2141 | − | 12.5926i | −0.454284 | − | 0.402461i | ||||
\(980\) | 4.20419 | − | 17.0571i | 0.134298 | − | 0.544868i | ||||
\(981\) | 43.1607 | + | 16.3687i | 1.37802 | + | 0.522613i | ||||
\(982\) | −4.60147 | − | 8.76736i | −0.146839 | − | 0.279778i | ||||
\(983\) | 14.0007 | − | 26.6761i | 0.446553 | − | 0.850835i | −0.553288 | − | 0.832990i | \(-0.686627\pi\) |
0.999841 | − | 0.0178450i | \(-0.00568055\pi\) | |||||||
\(984\) | −82.8444 | − | 20.4193i | −2.64098 | − | 0.650944i | ||||
\(985\) | 7.08394 | − | 6.27582i | 0.225713 | − | 0.199964i | ||||
\(986\) | −1.71732 | − | 3.27209i | −0.0546908 | − | 0.104205i | ||||
\(987\) | −52.0626 | − | 27.3246i | −1.65717 | − | 0.869750i | ||||
\(988\) | −16.9580 | − | 1.43722i | −0.539505 | − | 0.0457240i | ||||
\(989\) | 7.59872 | − | 3.98812i | 0.241625 | − | 0.126815i | ||||
\(990\) | −18.4768 | − | 12.7536i | −0.587232 | − | 0.405337i | ||||
\(991\) | −27.9816 | −0.888866 | −0.444433 | − | 0.895812i | \(-0.646595\pi\) | ||||
−0.444433 | + | 0.895812i | \(0.646595\pi\) | |||||||
\(992\) | −29.2745 | −0.929468 | ||||||||
\(993\) | 52.7817 | + | 36.4326i | 1.67498 | + | 1.15615i | ||||
\(994\) | −43.2612 | + | 5.25286i | −1.37216 | + | 0.166611i | ||||
\(995\) | 6.09052i | 0.193083i | ||||||||
\(996\) | −62.5992 | − | 7.60092i | −1.98353 | − | 0.240844i | ||||
\(997\) | 6.52069 | + | 9.44685i | 0.206512 | + | 0.299185i | 0.912530 | − | 0.409009i | \(-0.134126\pi\) |
−0.706018 | + | 0.708194i | \(0.749510\pi\) | |||||||
\(998\) | 12.1452 | + | 2.99352i | 0.384449 | + | 0.0947582i | ||||
\(999\) | 3.01209 | − | 2.07909i | 0.0952982 | − | 0.0657796i |
(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 | 845.2.w.a.116.23 | yes | 744 | |
169.51 | even | 26 | inner | 845.2.w.a.51.23 | ✓ | 744 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
845.2.w.a.51.23 | ✓ | 744 | 169.51 | even | 26 | inner | |
845.2.w.a.116.23 | yes | 744 | 1.1 | even | 1 | trivial |