Properties

Label 483.2.r.a.412.11
Level $483$
Weight $2$
Character 483.412
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.r (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(32\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 412.11
Character \(\chi\) \(=\) 483.412
Dual form 483.2.r.a.34.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.818407 - 0.525958i) q^{2} +(-0.989821 + 0.142315i) q^{3} +(-0.437672 - 0.958368i) q^{4} +(-0.929338 - 0.272878i) q^{5} +(0.884929 + 0.404133i) q^{6} +(2.61509 - 0.401643i) q^{7} +(-0.422768 + 2.94041i) q^{8} +(0.959493 - 0.281733i) q^{9} +O(q^{10})\) \(q+(-0.818407 - 0.525958i) q^{2} +(-0.989821 + 0.142315i) q^{3} +(-0.437672 - 0.958368i) q^{4} +(-0.929338 - 0.272878i) q^{5} +(0.884929 + 0.404133i) q^{6} +(2.61509 - 0.401643i) q^{7} +(-0.422768 + 2.94041i) q^{8} +(0.959493 - 0.281733i) q^{9} +(0.617054 + 0.712119i) q^{10} +(2.79512 + 4.34930i) q^{11} +(0.569607 + 0.886326i) q^{12} +(0.940947 - 0.815335i) q^{13} +(-2.35145 - 1.04672i) q^{14} +(0.958713 + 0.137842i) q^{15} +(0.512637 - 0.591615i) q^{16} +(0.140636 - 0.307950i) q^{17} +(-0.933435 - 0.274081i) q^{18} +(-2.62188 - 5.74111i) q^{19} +(0.145227 + 1.01008i) q^{20} +(-2.53131 + 0.769721i) q^{21} -5.02962i q^{22} +(4.07455 - 2.52943i) q^{23} -2.97065i q^{24} +(-3.41706 - 2.19601i) q^{25} +(-1.19891 + 0.172377i) q^{26} +(-0.909632 + 0.415415i) q^{27} +(-1.52947 - 2.33043i) q^{28} +(2.59704 - 5.68673i) q^{29} +(-0.712119 - 0.617054i) q^{30} +(6.95457 + 0.999916i) q^{31} +(4.96992 - 1.45930i) q^{32} +(-3.38564 - 3.90724i) q^{33} +(-0.277066 + 0.178060i) q^{34} +(-2.53990 - 0.340338i) q^{35} +(-0.689947 - 0.796241i) q^{36} +(-0.359237 - 1.22345i) q^{37} +(-0.873822 + 6.07757i) q^{38} +(-0.815335 + 0.940947i) q^{39} +(1.19527 - 2.61727i) q^{40} +(-1.06330 + 3.62126i) q^{41} +(2.47648 + 0.701419i) q^{42} +(2.84823 - 0.409513i) q^{43} +(2.94488 - 4.58232i) q^{44} -0.968572 q^{45} +(-4.66502 - 0.0729377i) q^{46} -8.50072i q^{47} +(-0.423224 + 0.658549i) q^{48} +(6.67737 - 2.10066i) q^{49} +(1.64154 + 3.59446i) q^{50} +(-0.0953786 + 0.324830i) q^{51} +(-1.19322 - 0.544924i) q^{52} +(6.02099 + 5.21722i) q^{53} +(0.962940 + 0.138450i) q^{54} +(-1.41079 - 4.80470i) q^{55} +(0.0754223 + 7.85924i) q^{56} +(3.41224 + 5.30954i) q^{57} +(-5.11642 + 3.28812i) q^{58} +(-6.94455 + 6.01748i) q^{59} +(-0.287498 - 0.979130i) q^{60} +(0.508508 - 3.53675i) q^{61} +(-5.16576 - 4.47615i) q^{62} +(2.39600 - 1.12213i) q^{63} +(-6.33717 - 1.86076i) q^{64} +(-1.09695 + 0.500958i) q^{65} +(0.715789 + 4.97842i) q^{66} +(3.35395 - 5.21885i) q^{67} -0.356681 q^{68} +(-3.67310 + 3.08356i) q^{69} +(1.89967 + 1.61442i) q^{70} +(-5.04503 - 3.24224i) q^{71} +(0.422768 + 2.94041i) q^{72} +(-1.57980 + 0.721472i) q^{73} +(-0.349481 + 1.19022i) q^{74} +(3.69481 + 1.68736i) q^{75} +(-4.35458 + 5.02545i) q^{76} +(9.05636 + 10.2512i) q^{77} +(1.16218 - 0.341245i) q^{78} +(2.46703 - 2.13770i) q^{79} +(-0.637852 + 0.409923i) q^{80} +(0.841254 - 0.540641i) q^{81} +(2.77484 - 2.40441i) q^{82} +(-5.97398 + 1.75412i) q^{83} +(1.84556 + 2.08904i) q^{84} +(-0.214731 + 0.247813i) q^{85} +(-2.54639 - 1.16290i) q^{86} +(-1.76130 + 5.99844i) q^{87} +(-13.9704 + 6.38008i) q^{88} +(-1.32657 - 9.22651i) q^{89} +(0.792686 + 0.509428i) q^{90} +(2.13319 - 2.51010i) q^{91} +(-4.20744 - 2.79786i) q^{92} -7.02609 q^{93} +(-4.47103 + 6.95705i) q^{94} +(0.869986 + 6.05089i) q^{95} +(-4.71166 + 2.15174i) q^{96} +(14.8247 + 4.35294i) q^{97} +(-6.56967 - 1.79282i) q^{98} +(3.90724 + 3.38564i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9} - 4 q^{18} + 52 q^{23} - 68 q^{25} - 88 q^{28} + 24 q^{32} + 28 q^{35} + 14 q^{36} - 44 q^{37} + 110 q^{42} - 44 q^{43} - 154 q^{44} + 40 q^{46} - 16 q^{49} - 166 q^{50} - 44 q^{51} + 110 q^{56} - 44 q^{57} - 62 q^{58} - 84 q^{64} + 72 q^{70} - 40 q^{71} - 12 q^{72} + 22 q^{74} + 72 q^{77} - 8 q^{78} - 88 q^{79} - 32 q^{81} - 304 q^{85} + 330 q^{88} - 412 q^{92} + 24 q^{93} + 148 q^{95} - 60 q^{98} + 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{13}{22}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.818407 0.525958i −0.578701 0.371909i 0.218304 0.975881i \(-0.429947\pi\)
−0.797005 + 0.603972i \(0.793584\pi\)
\(3\) −0.989821 + 0.142315i −0.571474 + 0.0821655i
\(4\) −0.437672 0.958368i −0.218836 0.479184i
\(5\) −0.929338 0.272878i −0.415613 0.122035i 0.0672393 0.997737i \(-0.478581\pi\)
−0.482852 + 0.875702i \(0.660399\pi\)
\(6\) 0.884929 + 0.404133i 0.361271 + 0.164987i
\(7\) 2.61509 0.401643i 0.988410 0.151807i
\(8\) −0.422768 + 2.94041i −0.149471 + 1.03959i
\(9\) 0.959493 0.281733i 0.319831 0.0939109i
\(10\) 0.617054 + 0.712119i 0.195130 + 0.225192i
\(11\) 2.79512 + 4.34930i 0.842762 + 1.31136i 0.948438 + 0.316962i \(0.102663\pi\)
−0.105676 + 0.994401i \(0.533701\pi\)
\(12\) 0.569607 + 0.886326i 0.164431 + 0.255860i
\(13\) 0.940947 0.815335i 0.260972 0.226133i −0.514540 0.857466i \(-0.672037\pi\)
0.775512 + 0.631333i \(0.217492\pi\)
\(14\) −2.35145 1.04672i −0.628452 0.279748i
\(15\) 0.958713 + 0.137842i 0.247539 + 0.0355907i
\(16\) 0.512637 0.591615i 0.128159 0.147904i
\(17\) 0.140636 0.307950i 0.0341092 0.0746888i −0.891810 0.452409i \(-0.850565\pi\)
0.925920 + 0.377720i \(0.123292\pi\)
\(18\) −0.933435 0.274081i −0.220013 0.0646016i
\(19\) −2.62188 5.74111i −0.601500 1.31710i −0.928238 0.371987i \(-0.878677\pi\)
0.326738 0.945115i \(-0.394051\pi\)
\(20\) 0.145227 + 1.01008i 0.0324738 + 0.225861i
\(21\) −2.53131 + 0.769721i −0.552377 + 0.167967i
\(22\) 5.02962i 1.07232i
\(23\) 4.07455 2.52943i 0.849603 0.527423i
\(24\) 2.97065i 0.606381i
\(25\) −3.41706 2.19601i −0.683412 0.439202i
\(26\) −1.19891 + 0.172377i −0.235126 + 0.0338060i
\(27\) −0.909632 + 0.415415i −0.175059 + 0.0799467i
\(28\) −1.52947 2.33043i −0.289043 0.440410i
\(29\) 2.59704 5.68673i 0.482259 1.05600i −0.499578 0.866269i \(-0.666511\pi\)
0.981836 0.189730i \(-0.0607612\pi\)
\(30\) −0.712119 0.617054i −0.130014 0.112658i
\(31\) 6.95457 + 0.999916i 1.24908 + 0.179590i 0.734949 0.678123i \(-0.237206\pi\)
0.514129 + 0.857713i \(0.328115\pi\)
\(32\) 4.96992 1.45930i 0.878567 0.257970i
\(33\) −3.38564 3.90724i −0.589365 0.680163i
\(34\) −0.277066 + 0.178060i −0.0475164 + 0.0305370i
\(35\) −2.53990 0.340338i −0.429321 0.0575277i
\(36\) −0.689947 0.796241i −0.114991 0.132707i
\(37\) −0.359237 1.22345i −0.0590582 0.201134i 0.924679 0.380748i \(-0.124333\pi\)
−0.983737 + 0.179614i \(0.942515\pi\)
\(38\) −0.873822 + 6.07757i −0.141753 + 0.985912i
\(39\) −0.815335 + 0.940947i −0.130558 + 0.150672i
\(40\) 1.19527 2.61727i 0.188989 0.413827i
\(41\) −1.06330 + 3.62126i −0.166059 + 0.565545i 0.833849 + 0.551992i \(0.186132\pi\)
−0.999908 + 0.0135527i \(0.995686\pi\)
\(42\) 2.47648 + 0.701419i 0.382130 + 0.108231i
\(43\) 2.84823 0.409513i 0.434350 0.0624501i 0.0783281 0.996928i \(-0.475042\pi\)
0.356022 + 0.934477i \(0.384133\pi\)
\(44\) 2.94488 4.58232i 0.443957 0.690811i
\(45\) −0.968572 −0.144386
\(46\) −4.66502 0.0729377i −0.687819 0.0107541i
\(47\) 8.50072i 1.23996i −0.784618 0.619979i \(-0.787141\pi\)
0.784618 0.619979i \(-0.212859\pi\)
\(48\) −0.423224 + 0.658549i −0.0610871 + 0.0950534i
\(49\) 6.67737 2.10066i 0.953909 0.300095i
\(50\) 1.64154 + 3.59446i 0.232148 + 0.508334i
\(51\) −0.0953786 + 0.324830i −0.0133557 + 0.0454853i
\(52\) −1.19322 0.544924i −0.165470 0.0755674i
\(53\) 6.02099 + 5.21722i 0.827046 + 0.716640i 0.961656 0.274259i \(-0.0884325\pi\)
−0.134610 + 0.990899i \(0.542978\pi\)
\(54\) 0.962940 + 0.138450i 0.131040 + 0.0188406i
\(55\) −1.41079 4.80470i −0.190230 0.647865i
\(56\) 0.0754223 + 7.85924i 0.0100787 + 1.05023i
\(57\) 3.41224 + 5.30954i 0.451962 + 0.703266i
\(58\) −5.11642 + 3.28812i −0.671819 + 0.431752i
\(59\) −6.94455 + 6.01748i −0.904103 + 0.783410i −0.976847 0.213941i \(-0.931370\pi\)
0.0727435 + 0.997351i \(0.476825\pi\)
\(60\) −0.287498 0.979130i −0.0371159 0.126405i
\(61\) 0.508508 3.53675i 0.0651078 0.452835i −0.931024 0.364959i \(-0.881083\pi\)
0.996131 0.0878758i \(-0.0280079\pi\)
\(62\) −5.16576 4.47615i −0.656052 0.568472i
\(63\) 2.39600 1.12213i 0.301868 0.141375i
\(64\) −6.33717 1.86076i −0.792146 0.232595i
\(65\) −1.09695 + 0.500958i −0.136059 + 0.0621362i
\(66\) 0.715789 + 4.97842i 0.0881075 + 0.612801i
\(67\) 3.35395 5.21885i 0.409750 0.637584i −0.573636 0.819110i \(-0.694468\pi\)
0.983386 + 0.181527i \(0.0581039\pi\)
\(68\) −0.356681 −0.0432540
\(69\) −3.67310 + 3.08356i −0.442190 + 0.371217i
\(70\) 1.89967 + 1.61442i 0.227054 + 0.192960i
\(71\) −5.04503 3.24224i −0.598734 0.384783i 0.205883 0.978577i \(-0.433993\pi\)
−0.804618 + 0.593793i \(0.797630\pi\)
\(72\) 0.422768 + 2.94041i 0.0498236 + 0.346531i
\(73\) −1.57980 + 0.721472i −0.184902 + 0.0844420i −0.505715 0.862701i \(-0.668771\pi\)
0.320813 + 0.947143i \(0.396044\pi\)
\(74\) −0.349481 + 1.19022i −0.0406264 + 0.138361i
\(75\) 3.69481 + 1.68736i 0.426639 + 0.194840i
\(76\) −4.35458 + 5.02545i −0.499504 + 0.576459i
\(77\) 9.05636 + 10.2512i 1.03207 + 1.16823i
\(78\) 1.16218 0.341245i 0.131590 0.0386384i
\(79\) 2.46703 2.13770i 0.277563 0.240510i −0.504943 0.863153i \(-0.668487\pi\)
0.782506 + 0.622643i \(0.213941\pi\)
\(80\) −0.637852 + 0.409923i −0.0713140 + 0.0458308i
\(81\) 0.841254 0.540641i 0.0934726 0.0600712i
\(82\) 2.77484 2.40441i 0.306430 0.265523i
\(83\) −5.97398 + 1.75412i −0.655729 + 0.192539i −0.592639 0.805468i \(-0.701914\pi\)
−0.0630904 + 0.998008i \(0.520096\pi\)
\(84\) 1.84556 + 2.08904i 0.201367 + 0.227933i
\(85\) −0.214731 + 0.247813i −0.0232908 + 0.0268791i
\(86\) −2.54639 1.16290i −0.274585 0.125399i
\(87\) −1.76130 + 5.99844i −0.188831 + 0.643101i
\(88\) −13.9704 + 6.38008i −1.48925 + 0.680119i
\(89\) −1.32657 9.22651i −0.140616 0.978008i −0.930902 0.365269i \(-0.880977\pi\)
0.790285 0.612739i \(-0.209932\pi\)
\(90\) 0.792686 + 0.509428i 0.0835565 + 0.0536985i
\(91\) 2.13319 2.51010i 0.223619 0.263130i
\(92\) −4.20744 2.79786i −0.438656 0.291697i
\(93\) −7.02609 −0.728571
\(94\) −4.47103 + 6.95705i −0.461151 + 0.717565i
\(95\) 0.869986 + 6.05089i 0.0892587 + 0.620808i
\(96\) −4.71166 + 2.15174i −0.480882 + 0.219611i
\(97\) 14.8247 + 4.35294i 1.50522 + 0.441974i 0.927363 0.374162i \(-0.122069\pi\)
0.577861 + 0.816135i \(0.303888\pi\)
\(98\) −6.56967 1.79282i −0.663636 0.181102i
\(99\) 3.90724 + 3.38564i 0.392693 + 0.340270i
\(100\) −0.609035 + 4.23593i −0.0609035 + 0.423593i
\(101\) 3.53695 + 12.0457i 0.351939 + 1.19859i 0.925282 + 0.379279i \(0.123828\pi\)
−0.573343 + 0.819315i \(0.694354\pi\)
\(102\) 0.248905 0.215678i 0.0246453 0.0213553i
\(103\) 12.0172 7.72298i 1.18409 0.760968i 0.207955 0.978138i \(-0.433319\pi\)
0.976134 + 0.217171i \(0.0696829\pi\)
\(104\) 1.99962 + 3.11147i 0.196079 + 0.305105i
\(105\) 2.56248 0.0245912i 0.250073 0.00239986i
\(106\) −2.18358 7.43660i −0.212088 0.722306i
\(107\) −2.16990 0.311984i −0.209772 0.0301606i 0.0366276 0.999329i \(-0.488338\pi\)
−0.246400 + 0.969168i \(0.579248\pi\)
\(108\) 0.796241 + 0.689947i 0.0766183 + 0.0663901i
\(109\) −0.148697 0.0679076i −0.0142426 0.00650436i 0.408281 0.912856i \(-0.366128\pi\)
−0.422524 + 0.906352i \(0.638856\pi\)
\(110\) −1.37247 + 4.67421i −0.130860 + 0.445669i
\(111\) 0.529696 + 1.15987i 0.0502765 + 0.110090i
\(112\) 1.10297 1.75302i 0.104221 0.165645i
\(113\) −0.0172420 + 0.0268291i −0.00162199 + 0.00252387i −0.842064 0.539378i \(-0.818659\pi\)
0.840442 + 0.541902i \(0.182296\pi\)
\(114\) 6.14006i 0.575070i
\(115\) −4.47686 + 1.23884i −0.417470 + 0.115523i
\(116\) −6.58663 −0.611553
\(117\) 0.673126 1.04740i 0.0622305 0.0968325i
\(118\) 8.84841 1.27221i 0.814562 0.117116i
\(119\) 0.244089 0.861801i 0.0223756 0.0790011i
\(120\) −0.810626 + 2.76074i −0.0739997 + 0.252020i
\(121\) −6.53411 + 14.3077i −0.594010 + 1.30070i
\(122\) −2.27635 + 2.62705i −0.206091 + 0.237842i
\(123\) 0.537115 3.73572i 0.0484301 0.336839i
\(124\) −2.08553 7.10267i −0.187286 0.637839i
\(125\) 5.74776 + 6.63327i 0.514095 + 0.593298i
\(126\) −2.55110 0.341839i −0.227270 0.0304534i
\(127\) 4.05825 2.60808i 0.360111 0.231429i −0.348057 0.937474i \(-0.613158\pi\)
0.708168 + 0.706044i \(0.249522\pi\)
\(128\) −2.57631 2.97322i −0.227716 0.262798i
\(129\) −2.76095 + 0.810690i −0.243089 + 0.0713772i
\(130\) 1.16123 + 0.166960i 0.101847 + 0.0146433i
\(131\) −1.85930 1.61109i −0.162448 0.140762i 0.569844 0.821753i \(-0.307004\pi\)
−0.732292 + 0.680991i \(0.761549\pi\)
\(132\) −2.26277 + 4.95478i −0.196949 + 0.431258i
\(133\) −9.16232 13.9605i −0.794474 1.21052i
\(134\) −5.48979 + 2.50710i −0.474246 + 0.216581i
\(135\) 0.958713 0.137842i 0.0825129 0.0118636i
\(136\) 0.846043 + 0.543719i 0.0725476 + 0.0466235i
\(137\) 0.728574i 0.0622463i 0.999516 + 0.0311232i \(0.00990841\pi\)
−0.999516 + 0.0311232i \(0.990092\pi\)
\(138\) 4.62792 0.591706i 0.393954 0.0503694i
\(139\) 17.8116i 1.51076i 0.655287 + 0.755380i \(0.272547\pi\)
−0.655287 + 0.755380i \(0.727453\pi\)
\(140\) 0.785474 + 2.58312i 0.0663846 + 0.218313i
\(141\) 1.20978 + 8.41420i 0.101882 + 0.708603i
\(142\) 2.42360 + 5.30695i 0.203384 + 0.445349i
\(143\) 6.17620 + 1.81350i 0.516480 + 0.151652i
\(144\) 0.325195 0.712077i 0.0270996 0.0593398i
\(145\) −3.96531 + 4.57622i −0.329301 + 0.380034i
\(146\) 1.67239 + 0.240453i 0.138408 + 0.0199000i
\(147\) −6.31044 + 3.02957i −0.520477 + 0.249875i
\(148\) −1.01529 + 0.879751i −0.0834561 + 0.0723151i
\(149\) 7.37545 + 11.4764i 0.604221 + 0.940186i 0.999764 + 0.0217381i \(0.00692001\pi\)
−0.395543 + 0.918447i \(0.629444\pi\)
\(150\) −2.13637 3.32426i −0.174434 0.271425i
\(151\) −3.13572 3.61881i −0.255181 0.294495i 0.613676 0.789558i \(-0.289690\pi\)
−0.868857 + 0.495063i \(0.835145\pi\)
\(152\) 17.9897 5.28225i 1.45916 0.428447i
\(153\) 0.0481797 0.335097i 0.00389510 0.0270910i
\(154\) −2.02011 13.1529i −0.162785 1.05989i
\(155\) −6.19029 2.82701i −0.497216 0.227071i
\(156\) 1.25862 + 0.369565i 0.100771 + 0.0295889i
\(157\) −2.41463 5.28731i −0.192709 0.421973i 0.788470 0.615073i \(-0.210873\pi\)
−0.981179 + 0.193099i \(0.938146\pi\)
\(158\) −3.14338 + 0.451950i −0.250074 + 0.0359552i
\(159\) −6.70219 4.30724i −0.531518 0.341586i
\(160\) −5.01695 −0.396625
\(161\) 9.63938 8.25120i 0.759689 0.650286i
\(162\) −0.972842 −0.0764337
\(163\) 13.6235 + 8.75531i 1.06708 + 0.685769i 0.951537 0.307534i \(-0.0995039\pi\)
0.115540 + 0.993303i \(0.463140\pi\)
\(164\) 3.93587 0.565893i 0.307340 0.0441888i
\(165\) 2.08021 + 4.55502i 0.161944 + 0.354608i
\(166\) 5.81174 + 1.70648i 0.451078 + 0.132449i
\(167\) 11.1834 + 5.10729i 0.865397 + 0.395214i 0.798104 0.602520i \(-0.205836\pi\)
0.0672930 + 0.997733i \(0.478564\pi\)
\(168\) −1.19314 7.76851i −0.0920528 0.599354i
\(169\) −1.62948 + 11.3333i −0.125345 + 0.871793i
\(170\) 0.306077 0.0898722i 0.0234750 0.00689288i
\(171\) −4.13313 4.76989i −0.316069 0.364763i
\(172\) −1.63905 2.55042i −0.124977 0.194467i
\(173\) −2.15005 3.34554i −0.163465 0.254357i 0.749852 0.661605i \(-0.230125\pi\)
−0.913317 + 0.407249i \(0.866488\pi\)
\(174\) 4.59639 3.98280i 0.348452 0.301935i
\(175\) −9.81793 4.37032i −0.742166 0.330365i
\(176\) 4.00600 + 0.575975i 0.301963 + 0.0434158i
\(177\) 6.01748 6.94455i 0.452302 0.521984i
\(178\) −3.76708 + 8.24877i −0.282355 + 0.618271i
\(179\) −18.4370 5.41358i −1.37804 0.404630i −0.492956 0.870055i \(-0.664083\pi\)
−0.885088 + 0.465425i \(0.845902\pi\)
\(180\) 0.423917 + 0.928248i 0.0315969 + 0.0691875i
\(181\) 3.68110 + 25.6026i 0.273614 + 1.90303i 0.409514 + 0.912304i \(0.365698\pi\)
−0.135900 + 0.990723i \(0.543393\pi\)
\(182\) −3.06602 + 0.932316i −0.227269 + 0.0691078i
\(183\) 3.57312i 0.264133i
\(184\) 5.71499 + 13.0502i 0.421315 + 0.962075i
\(185\) 1.23503i 0.0908009i
\(186\) 5.75020 + 3.69543i 0.421625 + 0.270962i
\(187\) 1.73246 0.249090i 0.126690 0.0182153i
\(188\) −8.14682 + 3.72053i −0.594168 + 0.271347i
\(189\) −2.21192 + 1.45169i −0.160893 + 0.105595i
\(190\) 2.47051 5.40967i 0.179230 0.392458i
\(191\) −14.6653 12.7076i −1.06115 0.919488i −0.0642276 0.997935i \(-0.520458\pi\)
−0.996918 + 0.0784472i \(0.975004\pi\)
\(192\) 6.53748 + 0.939948i 0.471802 + 0.0678349i
\(193\) 24.2271 7.11373i 1.74391 0.512058i 0.754385 0.656432i \(-0.227935\pi\)
0.989523 + 0.144375i \(0.0461170\pi\)
\(194\) −9.84321 11.3597i −0.706701 0.815577i
\(195\) 1.01449 0.651971i 0.0726489 0.0466886i
\(196\) −4.93570 5.47997i −0.352550 0.391427i
\(197\) −5.22832 6.03381i −0.372503 0.429891i 0.538287 0.842762i \(-0.319072\pi\)
−0.910790 + 0.412871i \(0.864526\pi\)
\(198\) −1.41701 4.82588i −0.100702 0.342960i
\(199\) −3.29629 + 22.9262i −0.233668 + 1.62520i 0.448348 + 0.893859i \(0.352013\pi\)
−0.682016 + 0.731338i \(0.738896\pi\)
\(200\) 7.90180 9.11917i 0.558742 0.644823i
\(201\) −2.57709 + 5.64304i −0.181774 + 0.398030i
\(202\) 3.44089 11.7186i 0.242100 0.824518i
\(203\) 4.50746 15.9144i 0.316361 1.11697i
\(204\) 0.353051 0.0507611i 0.0247185 0.00355398i
\(205\) 1.97632 3.07522i 0.138032 0.214783i
\(206\) −13.8969 −0.968244
\(207\) 3.19688 3.57491i 0.222198 0.248473i
\(208\) 0.974650i 0.0675798i
\(209\) 17.6413 27.4505i 1.22028 1.89879i
\(210\) −2.11009 1.32763i −0.145610 0.0916154i
\(211\) −8.53244 18.6834i −0.587398 1.28622i −0.937002 0.349324i \(-0.886411\pi\)
0.349604 0.936897i \(-0.386316\pi\)
\(212\) 2.36479 8.05375i 0.162415 0.553134i
\(213\) 5.45509 + 2.49126i 0.373777 + 0.170698i
\(214\) 1.61177 + 1.39661i 0.110178 + 0.0954700i
\(215\) −2.75871 0.396643i −0.188143 0.0270508i
\(216\) −0.836929 2.85032i −0.0569458 0.193940i
\(217\) 18.5884 0.178386i 1.26186 0.0121097i
\(218\) 0.0859780 + 0.133784i 0.00582316 + 0.00906102i
\(219\) 1.46105 0.938958i 0.0987285 0.0634489i
\(220\) −3.98721 + 3.45493i −0.268817 + 0.232932i
\(221\) −0.118751 0.404430i −0.00798808 0.0272049i
\(222\) 0.176537 1.22785i 0.0118484 0.0824076i
\(223\) −22.2076 19.2430i −1.48713 1.28861i −0.860675 0.509154i \(-0.829958\pi\)
−0.626459 0.779455i \(-0.715496\pi\)
\(224\) 12.4107 5.81234i 0.829223 0.388353i
\(225\) −3.89733 1.14436i −0.259822 0.0762907i
\(226\) 0.0282220 0.0128886i 0.00187730 0.000857334i
\(227\) −3.56275 24.7794i −0.236468 1.64467i −0.669153 0.743124i \(-0.733343\pi\)
0.432686 0.901545i \(-0.357566\pi\)
\(228\) 3.59506 5.59402i 0.238088 0.370473i
\(229\) −19.9727 −1.31983 −0.659917 0.751338i \(-0.729409\pi\)
−0.659917 + 0.751338i \(0.729409\pi\)
\(230\) 4.31548 + 1.34077i 0.284554 + 0.0884075i
\(231\) −10.4231 8.85796i −0.685788 0.582811i
\(232\) 15.6234 + 10.0405i 1.02573 + 0.659194i
\(233\) 1.14342 + 7.95269i 0.0749082 + 0.520998i 0.992382 + 0.123201i \(0.0393161\pi\)
−0.917473 + 0.397797i \(0.869775\pi\)
\(234\) −1.10178 + 0.503167i −0.0720257 + 0.0328930i
\(235\) −2.31966 + 7.90004i −0.151318 + 0.515342i
\(236\) 8.80640 + 4.02175i 0.573248 + 0.261793i
\(237\) −2.13770 + 2.46703i −0.138858 + 0.160251i
\(238\) −0.653036 + 0.576923i −0.0423300 + 0.0373964i
\(239\) 8.09190 2.37600i 0.523421 0.153690i −0.00933926 0.999956i \(-0.502973\pi\)
0.532761 + 0.846266i \(0.321155\pi\)
\(240\) 0.573022 0.496526i 0.0369884 0.0320506i
\(241\) 7.40822 4.76097i 0.477205 0.306681i −0.279837 0.960048i \(-0.590280\pi\)
0.757042 + 0.653366i \(0.226644\pi\)
\(242\) 12.8728 8.27286i 0.827496 0.531800i
\(243\) −0.755750 + 0.654861i −0.0484814 + 0.0420093i
\(244\) −3.61207 + 1.06060i −0.231239 + 0.0678979i
\(245\) −6.77876 + 0.130119i −0.433079 + 0.00831297i
\(246\) −2.40441 + 2.77484i −0.153300 + 0.176917i
\(247\) −7.14798 3.26437i −0.454815 0.207707i
\(248\) −5.88033 + 20.0266i −0.373402 + 1.27169i
\(249\) 5.66353 2.58645i 0.358912 0.163910i
\(250\) −1.21518 8.45180i −0.0768550 0.534539i
\(251\) −17.4263 11.1992i −1.09994 0.706887i −0.140860 0.990030i \(-0.544987\pi\)
−0.959078 + 0.283142i \(0.908623\pi\)
\(252\) −2.12408 1.80513i −0.133804 0.113712i
\(253\) 22.3901 + 10.6514i 1.40766 + 0.669645i
\(254\) −4.69304 −0.294467
\(255\) 0.177278 0.275850i 0.0111016 0.0172744i
\(256\) 2.42458 + 16.8633i 0.151536 + 1.05396i
\(257\) −19.9647 + 9.11757i −1.24536 + 0.568738i −0.925508 0.378728i \(-0.876361\pi\)
−0.319855 + 0.947467i \(0.603634\pi\)
\(258\) 2.68597 + 0.788673i 0.167221 + 0.0491006i
\(259\) −1.43083 3.05514i −0.0889072 0.189837i
\(260\) 0.960205 + 0.832022i 0.0595494 + 0.0515998i
\(261\) 0.889707 6.18805i 0.0550715 0.383031i
\(262\) 0.674297 + 2.29645i 0.0416582 + 0.141875i
\(263\) 7.17830 6.22003i 0.442633 0.383543i −0.404836 0.914390i \(-0.632671\pi\)
0.847468 + 0.530846i \(0.178126\pi\)
\(264\) 12.9202 8.30334i 0.795186 0.511035i
\(265\) −4.17187 6.49155i −0.256276 0.398773i
\(266\) 0.155891 + 16.2443i 0.00955829 + 0.996004i
\(267\) 2.62614 + 8.94381i 0.160717 + 0.547352i
\(268\) −6.46951 0.930175i −0.395188 0.0568195i
\(269\) 5.60438 + 4.85622i 0.341705 + 0.296089i 0.808759 0.588140i \(-0.200139\pi\)
−0.467055 + 0.884228i \(0.654685\pi\)
\(270\) −0.857117 0.391432i −0.0521625 0.0238218i
\(271\) −4.91085 + 16.7248i −0.298313 + 1.01596i 0.664835 + 0.746990i \(0.268502\pi\)
−0.963148 + 0.268971i \(0.913316\pi\)
\(272\) −0.110092 0.241069i −0.00667533 0.0146169i
\(273\) −1.75425 + 2.78813i −0.106172 + 0.168746i
\(274\) 0.383200 0.596270i 0.0231499 0.0360220i
\(275\) 20.9999i 1.26634i
\(276\) 4.56280 + 2.17060i 0.274648 + 0.130655i
\(277\) −18.7551 −1.12689 −0.563443 0.826155i \(-0.690524\pi\)
−0.563443 + 0.826155i \(0.690524\pi\)
\(278\) 9.36815 14.5771i 0.561864 0.874278i
\(279\) 6.95457 0.999916i 0.416359 0.0598634i
\(280\) 2.07452 7.32447i 0.123976 0.437721i
\(281\) −1.50842 + 5.13721i −0.0899848 + 0.306460i −0.992171 0.124887i \(-0.960143\pi\)
0.902186 + 0.431347i \(0.141961\pi\)
\(282\) 3.43543 7.52253i 0.204577 0.447960i
\(283\) 4.67591 5.39629i 0.277954 0.320776i −0.599557 0.800332i \(-0.704657\pi\)
0.877511 + 0.479556i \(0.159202\pi\)
\(284\) −0.899194 + 6.25403i −0.0533573 + 0.371108i
\(285\) −1.72226 5.86549i −0.102018 0.347441i
\(286\) −4.10082 4.73260i −0.242487 0.279845i
\(287\) −1.32616 + 9.89697i −0.0782808 + 0.584200i
\(288\) 4.35747 2.80038i 0.256767 0.165014i
\(289\) 11.0576 + 12.7611i 0.650446 + 0.750654i
\(290\) 5.65214 1.65962i 0.331905 0.0974561i
\(291\) −15.2933 2.19885i −0.896511 0.128899i
\(292\) 1.38287 + 1.19827i 0.0809265 + 0.0701232i
\(293\) −8.28083 + 18.1325i −0.483771 + 1.05931i 0.497638 + 0.867385i \(0.334201\pi\)
−0.981409 + 0.191927i \(0.938526\pi\)
\(294\) 6.75794 + 0.839609i 0.394131 + 0.0489670i
\(295\) 8.09587 3.69726i 0.471360 0.215263i
\(296\) 3.74932 0.539071i 0.217925 0.0313329i
\(297\) −4.34930 2.79512i −0.252372 0.162190i
\(298\) 13.2716i 0.768801i
\(299\) 1.77160 5.70219i 0.102454 0.329766i
\(300\) 4.27949i 0.247077i
\(301\) 7.28388 2.21488i 0.419836 0.127664i
\(302\) 0.662950 + 4.61092i 0.0381485 + 0.265329i
\(303\) −5.21523 11.4198i −0.299607 0.656048i
\(304\) −4.74060 1.39197i −0.271892 0.0798347i
\(305\) −1.43768 + 3.14808i −0.0823212 + 0.180258i
\(306\) −0.215678 + 0.248905i −0.0123295 + 0.0142290i
\(307\) −19.6284 2.82214i −1.12025 0.161068i −0.442791 0.896625i \(-0.646012\pi\)
−0.677463 + 0.735557i \(0.736921\pi\)
\(308\) 5.86066 13.1660i 0.333942 0.750201i
\(309\) −10.7958 + 9.35459i −0.614150 + 0.532164i
\(310\) 3.57929 + 5.56948i 0.203290 + 0.316325i
\(311\) 6.82734 + 10.6235i 0.387143 + 0.602406i 0.979055 0.203596i \(-0.0652630\pi\)
−0.591912 + 0.806003i \(0.701627\pi\)
\(312\) −2.42208 2.79522i −0.137123 0.158248i
\(313\) −1.94313 + 0.570555i −0.109832 + 0.0322497i −0.336187 0.941795i \(-0.609137\pi\)
0.226355 + 0.974045i \(0.427319\pi\)
\(314\) −0.804751 + 5.59717i −0.0454147 + 0.315866i
\(315\) −2.53290 + 0.389020i −0.142713 + 0.0219188i
\(316\) −3.12845 1.42872i −0.175989 0.0803716i
\(317\) −4.60149 1.35112i −0.258445 0.0758864i 0.149943 0.988695i \(-0.452091\pi\)
−0.408388 + 0.912808i \(0.633909\pi\)
\(318\) 3.21969 + 7.05015i 0.180551 + 0.395353i
\(319\) 31.9923 4.59980i 1.79123 0.257540i
\(320\) 5.38161 + 3.45855i 0.300841 + 0.193339i
\(321\) 2.19221 0.122357
\(322\) −12.2287 + 1.68293i −0.681480 + 0.0937862i
\(323\) −2.13670 −0.118889
\(324\) −0.886326 0.569607i −0.0492403 0.0316448i
\(325\) −5.00576 + 0.719720i −0.277670 + 0.0399229i
\(326\) −6.54466 14.3308i −0.362475 0.793710i
\(327\) 0.156848 + 0.0460546i 0.00867369 + 0.00254683i
\(328\) −10.1985 4.65748i −0.563116 0.257166i
\(329\) −3.41426 22.2301i −0.188234 1.22559i
\(330\) 0.693293 4.82196i 0.0381645 0.265440i
\(331\) −24.4015 + 7.16492i −1.34123 + 0.393820i −0.872107 0.489315i \(-0.837247\pi\)
−0.469119 + 0.883135i \(0.655429\pi\)
\(332\) 4.29573 + 4.95754i 0.235759 + 0.272080i
\(333\) −0.689371 1.07268i −0.0377773 0.0587826i
\(334\) −6.46635 10.0618i −0.353823 0.550559i
\(335\) −4.54106 + 3.93485i −0.248105 + 0.214984i
\(336\) −0.842266 + 1.89215i −0.0459494 + 0.103225i
\(337\) −32.7798 4.71303i −1.78563 0.256735i −0.831372 0.555717i \(-0.812444\pi\)
−0.954259 + 0.298982i \(0.903353\pi\)
\(338\) 7.29443 8.41822i 0.396764 0.457891i
\(339\) 0.0132484 0.0290098i 0.000719552 0.00157560i
\(340\) 0.331478 + 0.0973306i 0.0179769 + 0.00527849i
\(341\) 15.0900 + 33.0424i 0.817167 + 1.78935i
\(342\) 0.873822 + 6.07757i 0.0472509 + 0.328637i
\(343\) 16.6182 8.17534i 0.897297 0.441427i
\(344\) 8.54809i 0.460882i
\(345\) 4.25499 1.86336i 0.229081 0.100320i
\(346\) 3.86885i 0.207991i
\(347\) 19.4952 + 12.5288i 1.04656 + 0.672581i 0.946600 0.322411i \(-0.104493\pi\)
0.0999568 + 0.994992i \(0.468130\pi\)
\(348\) 6.51959 0.937375i 0.349487 0.0502486i
\(349\) 25.8617 11.8107i 1.38435 0.632210i 0.422642 0.906297i \(-0.361103\pi\)
0.961705 + 0.274087i \(0.0883755\pi\)
\(350\) 5.73645 + 8.74052i 0.306626 + 0.467201i
\(351\) −0.517213 + 1.13254i −0.0276068 + 0.0604505i
\(352\) 20.2385 + 17.5368i 1.07872 + 0.934712i
\(353\) 8.11497 + 1.16676i 0.431916 + 0.0621002i 0.354844 0.934925i \(-0.384534\pi\)
0.0770718 + 0.997026i \(0.475443\pi\)
\(354\) −8.57729 + 2.51852i −0.455878 + 0.133858i
\(355\) 3.80380 + 4.38982i 0.201885 + 0.232987i
\(356\) −8.26179 + 5.30953i −0.437874 + 0.281405i
\(357\) −0.118958 + 0.887766i −0.00629591 + 0.0469856i
\(358\) 12.2416 + 14.1276i 0.646990 + 0.746666i
\(359\) −7.05855 24.0392i −0.372536 1.26874i −0.906130 0.423000i \(-0.860977\pi\)
0.533594 0.845741i \(-0.320841\pi\)
\(360\) 0.409481 2.84800i 0.0215815 0.150103i
\(361\) −13.6438 + 15.7458i −0.718094 + 0.828724i
\(362\) 10.4533 22.8895i 0.549411 1.20304i
\(363\) 4.43141 15.0920i 0.232588 0.792124i
\(364\) −3.33923 0.945777i −0.175023 0.0495722i
\(365\) 1.66505 0.239398i 0.0871525 0.0125306i
\(366\) 1.87931 2.92427i 0.0982332 0.152854i
\(367\) 11.6881 0.610111 0.305056 0.952335i \(-0.401325\pi\)
0.305056 + 0.952335i \(0.401325\pi\)
\(368\) 0.592316 3.70725i 0.0308766 0.193254i
\(369\) 3.77414i 0.196474i
\(370\) 0.649572 1.01075i 0.0337697 0.0525466i
\(371\) 17.8409 + 11.2252i 0.926252 + 0.582783i
\(372\) 3.07512 + 6.73358i 0.159438 + 0.349120i
\(373\) −7.16421 + 24.3991i −0.370949 + 1.26334i 0.536760 + 0.843735i \(0.319648\pi\)
−0.907709 + 0.419600i \(0.862170\pi\)
\(374\) −1.54887 0.707344i −0.0800901 0.0365759i
\(375\) −6.63327 5.74776i −0.342540 0.296813i
\(376\) 24.9956 + 3.59383i 1.28905 + 0.185338i
\(377\) −2.19291 7.46837i −0.112941 0.384641i
\(378\) 2.57378 0.0246996i 0.132381 0.00127041i
\(379\) 0.469050 + 0.729856i 0.0240935 + 0.0374902i 0.853091 0.521762i \(-0.174725\pi\)
−0.828998 + 0.559252i \(0.811089\pi\)
\(380\) 5.41821 3.48207i 0.277948 0.178626i
\(381\) −3.64577 + 3.15908i −0.186779 + 0.161845i
\(382\) 5.31855 + 18.1133i 0.272121 + 0.926758i
\(383\) −2.48829 + 17.3065i −0.127146 + 0.884319i 0.822001 + 0.569486i \(0.192858\pi\)
−0.949147 + 0.314833i \(0.898051\pi\)
\(384\) 2.97322 + 2.57631i 0.151727 + 0.131472i
\(385\) −5.61910 11.9981i −0.286376 0.611478i
\(386\) −23.5692 6.92054i −1.19964 0.352246i
\(387\) 2.61748 1.19536i 0.133054 0.0607637i
\(388\) −2.31666 16.1127i −0.117611 0.817999i
\(389\) −14.6755 + 22.8355i −0.744077 + 1.15781i 0.238354 + 0.971178i \(0.423392\pi\)
−0.982431 + 0.186628i \(0.940244\pi\)
\(390\) −1.17317 −0.0594059
\(391\) −0.205910 1.61049i −0.0104133 0.0814458i
\(392\) 3.35384 + 20.5223i 0.169395 + 1.03653i
\(393\) 2.06966 + 1.33009i 0.104400 + 0.0670941i
\(394\) 1.10537 + 7.68799i 0.0556875 + 0.387315i
\(395\) −2.87604 + 1.31344i −0.144709 + 0.0660865i
\(396\) 1.53460 5.22638i 0.0771167 0.262635i
\(397\) 19.4150 + 8.86654i 0.974411 + 0.444999i 0.838010 0.545655i \(-0.183719\pi\)
0.136401 + 0.990654i \(0.456446\pi\)
\(398\) 14.7559 17.0293i 0.739649 0.853600i
\(399\) 11.0558 + 12.5144i 0.553484 + 0.626505i
\(400\) −3.05091 + 0.895827i −0.152545 + 0.0447913i
\(401\) −9.03438 + 7.82834i −0.451156 + 0.390928i −0.850587 0.525835i \(-0.823753\pi\)
0.399431 + 0.916763i \(0.369208\pi\)
\(402\) 5.07712 3.26286i 0.253224 0.162737i
\(403\) 7.35915 4.72944i 0.366585 0.235590i
\(404\) 9.99622 8.66177i 0.497330 0.430939i
\(405\) −0.929338 + 0.272878i −0.0461792 + 0.0135594i
\(406\) −12.0592 + 10.6537i −0.598490 + 0.528734i
\(407\) 4.31703 4.98212i 0.213987 0.246955i
\(408\) −0.914810 0.417780i −0.0452899 0.0206832i
\(409\) −10.5304 + 35.8631i −0.520693 + 1.77332i 0.106345 + 0.994329i \(0.466085\pi\)
−0.627038 + 0.778989i \(0.715733\pi\)
\(410\) −3.23488 + 1.47732i −0.159759 + 0.0729595i
\(411\) −0.103687 0.721159i −0.00511450 0.0355721i
\(412\) −12.6610 8.13676i −0.623765 0.400869i
\(413\) −15.7437 + 18.5255i −0.774698 + 0.911579i
\(414\) −4.49660 + 1.24430i −0.220996 + 0.0611542i
\(415\) 6.03051 0.296026
\(416\) 3.48662 5.42528i 0.170945 0.265996i
\(417\) −2.53485 17.6303i −0.124132 0.863359i
\(418\) −28.8756 + 13.1870i −1.41235 + 0.644999i
\(419\) 6.94966 + 2.04061i 0.339513 + 0.0996901i 0.447045 0.894512i \(-0.352476\pi\)
−0.107531 + 0.994202i \(0.534295\pi\)
\(420\) −1.14509 2.44504i −0.0558749 0.119306i
\(421\) −27.8418 24.1251i −1.35693 1.17578i −0.966952 0.254960i \(-0.917938\pi\)
−0.389976 0.920825i \(-0.627517\pi\)
\(422\) −2.84370 + 19.7784i −0.138429 + 0.962796i
\(423\) −2.39493 8.15638i −0.116445 0.396577i
\(424\) −17.8862 + 15.4985i −0.868633 + 0.752675i
\(425\) −1.15682 + 0.743445i −0.0561141 + 0.0360624i
\(426\) −3.15419 4.90801i −0.152821 0.237794i
\(427\) −0.0907185 9.45315i −0.00439018 0.457470i
\(428\) 0.650708 + 2.21611i 0.0314531 + 0.107120i
\(429\) −6.37143 0.916073i −0.307615 0.0442284i
\(430\) 2.04913 + 1.77558i 0.0988179 + 0.0856262i
\(431\) −8.65930 3.95457i −0.417104 0.190485i 0.195798 0.980644i \(-0.437270\pi\)
−0.612901 + 0.790159i \(0.709998\pi\)
\(432\) −0.220546 + 0.751109i −0.0106110 + 0.0361378i
\(433\) 4.11687 + 9.01469i 0.197844 + 0.433218i 0.982387 0.186856i \(-0.0598298\pi\)
−0.784543 + 0.620074i \(0.787102\pi\)
\(434\) −15.3067 9.63074i −0.734746 0.462290i
\(435\) 3.27369 5.09396i 0.156961 0.244237i
\(436\) 0.172228i 0.00824820i
\(437\) −25.2047 16.7606i −1.20571 0.801768i
\(438\) −1.68959 −0.0807315
\(439\) −9.42744 + 14.6694i −0.449947 + 0.700131i −0.989932 0.141543i \(-0.954794\pi\)
0.539985 + 0.841675i \(0.318430\pi\)
\(440\) 14.7242 2.11702i 0.701950 0.100925i
\(441\) 5.81506 3.89680i 0.276908 0.185562i
\(442\) −0.115526 + 0.393446i −0.00549503 + 0.0187143i
\(443\) 3.14604 6.88886i 0.149473 0.327299i −0.820054 0.572287i \(-0.806056\pi\)
0.969526 + 0.244987i \(0.0787837\pi\)
\(444\) 0.879751 1.01529i 0.0417511 0.0481834i
\(445\) −1.28488 + 8.93654i −0.0609092 + 0.423633i
\(446\) 8.05386 + 27.4289i 0.381361 + 1.29880i
\(447\) −8.93365 10.3100i −0.422547 0.487645i
\(448\) −17.3196 2.32077i −0.818275 0.109646i
\(449\) 24.3369 15.6403i 1.14853 0.738114i 0.179182 0.983816i \(-0.442655\pi\)
0.969345 + 0.245702i \(0.0790186\pi\)
\(450\) 2.58772 + 2.98639i 0.121986 + 0.140780i
\(451\) −18.7220 + 5.49727i −0.881583 + 0.258856i
\(452\) 0.0332585 + 0.00478186i 0.00156435 + 0.000224920i
\(453\) 3.61881 + 3.13572i 0.170027 + 0.147329i
\(454\) −10.1172 + 22.1535i −0.474823 + 1.03972i
\(455\) −2.66740 + 1.75063i −0.125050 + 0.0820708i
\(456\) −17.0548 + 7.78868i −0.798666 + 0.364739i
\(457\) 14.7814 2.12524i 0.691444 0.0994146i 0.212370 0.977189i \(-0.431882\pi\)
0.479074 + 0.877775i \(0.340973\pi\)
\(458\) 16.3458 + 10.5048i 0.763790 + 0.490858i
\(459\) 0.338543i 0.0158018i
\(460\) 3.14666 + 3.74828i 0.146714 + 0.174764i
\(461\) 28.9108i 1.34651i 0.739411 + 0.673254i \(0.235104\pi\)
−0.739411 + 0.673254i \(0.764896\pi\)
\(462\) 3.87140 + 12.7315i 0.180114 + 0.592324i
\(463\) −0.659213 4.58493i −0.0306362 0.213080i 0.968753 0.248028i \(-0.0797824\pi\)
−0.999389 + 0.0349483i \(0.988873\pi\)
\(464\) −2.03301 4.45168i −0.0943803 0.206664i
\(465\) 6.52961 + 1.91727i 0.302803 + 0.0889111i
\(466\) 3.24700 7.10993i 0.150414 0.329361i
\(467\) −21.8511 + 25.2175i −1.01115 + 1.16693i −0.0252308 + 0.999682i \(0.508032\pi\)
−0.985916 + 0.167244i \(0.946513\pi\)
\(468\) −1.29841 0.186683i −0.0600189 0.00862941i
\(469\) 6.67476 14.9948i 0.308212 0.692397i
\(470\) 6.05352 5.24541i 0.279228 0.241953i
\(471\) 3.14252 + 4.88985i 0.144800 + 0.225313i
\(472\) −14.7580 22.9638i −0.679290 1.05700i
\(473\) 9.74224 + 11.2431i 0.447949 + 0.516960i
\(474\) 3.04706 0.894699i 0.139956 0.0410949i
\(475\) −3.64843 + 25.3754i −0.167402 + 1.16430i
\(476\) −0.932753 + 0.143259i −0.0427527 + 0.00656625i
\(477\) 7.24696 + 3.30957i 0.331815 + 0.151535i
\(478\) −7.87214 2.31147i −0.360063 0.105724i
\(479\) −10.4960 22.9830i −0.479574 1.05012i −0.982580 0.185838i \(-0.940500\pi\)
0.503006 0.864283i \(-0.332227\pi\)
\(480\) 4.96589 0.713987i 0.226661 0.0325889i
\(481\) −1.33555 0.858303i −0.0608956 0.0391352i
\(482\) −8.56701 −0.390217
\(483\) −8.36699 + 9.53905i −0.380711 + 0.434042i
\(484\) 16.5719 0.753266
\(485\) −12.5894 8.09070i −0.571654 0.367380i
\(486\) 0.962940 0.138450i 0.0436799 0.00628022i
\(487\) −5.22273 11.4362i −0.236665 0.518223i 0.753615 0.657316i \(-0.228308\pi\)
−0.990279 + 0.139093i \(0.955581\pi\)
\(488\) 10.1845 + 2.99045i 0.461032 + 0.135371i
\(489\) −14.7309 6.72736i −0.666153 0.304222i
\(490\) 5.61622 + 3.45885i 0.253715 + 0.156255i
\(491\) −5.47347 + 38.0688i −0.247014 + 1.71802i 0.368273 + 0.929718i \(0.379949\pi\)
−0.615287 + 0.788303i \(0.710960\pi\)
\(492\) −3.81527 + 1.12027i −0.172006 + 0.0505055i
\(493\) −1.38599 1.59952i −0.0624218 0.0720386i
\(494\) 4.13304 + 6.43113i 0.185954 + 0.289350i
\(495\) −2.70728 4.21261i −0.121683 0.189343i
\(496\) 4.15674 3.60183i 0.186643 0.161727i
\(497\) −14.4954 6.45244i −0.650208 0.289432i
\(498\) −5.99544 0.862014i −0.268662 0.0386278i
\(499\) −2.60039 + 3.00101i −0.116410 + 0.134344i −0.810963 0.585097i \(-0.801056\pi\)
0.694554 + 0.719441i \(0.255602\pi\)
\(500\) 3.84148 8.41166i 0.171796 0.376181i
\(501\) −11.7964 3.46374i −0.527025 0.154748i
\(502\) 8.37149 + 18.3310i 0.373638 + 0.818153i
\(503\) −0.603536 4.19768i −0.0269103 0.187166i 0.971932 0.235260i \(-0.0755942\pi\)
−0.998843 + 0.0480946i \(0.984685\pi\)
\(504\) 2.28657 + 7.51964i 0.101852 + 0.334951i
\(505\) 12.1597i 0.541100i
\(506\) −12.7221 20.4934i −0.565565 0.911044i
\(507\) 11.4498i 0.508506i
\(508\) −4.27568 2.74781i −0.189703 0.121914i
\(509\) −4.58425 + 0.659116i −0.203193 + 0.0292148i −0.243160 0.969986i \(-0.578184\pi\)
0.0399665 + 0.999201i \(0.487275\pi\)
\(510\) −0.290171 + 0.132517i −0.0128490 + 0.00586794i
\(511\) −3.84155 + 2.52123i −0.169940 + 0.111533i
\(512\) 3.61650 7.91904i 0.159828 0.349975i
\(513\) 4.76989 + 4.13313i 0.210596 + 0.182482i
\(514\) 21.1347 + 3.03871i 0.932212 + 0.134032i
\(515\) −13.2755 + 3.89803i −0.584987 + 0.171768i
\(516\) 1.98533 + 2.29119i 0.0873993 + 0.100864i
\(517\) 36.9722 23.7606i 1.62603 1.04499i
\(518\) −0.435879 + 3.25291i −0.0191514 + 0.142924i
\(519\) 2.60428 + 3.00550i 0.114315 + 0.131927i
\(520\) −1.00927 3.43726i −0.0442595 0.150734i
\(521\) 0.438031 3.04657i 0.0191905 0.133473i −0.977974 0.208727i \(-0.933068\pi\)
0.997164 + 0.0752547i \(0.0239770\pi\)
\(522\) −3.98280 + 4.59639i −0.174322 + 0.201179i
\(523\) −0.590199 + 1.29236i −0.0258076 + 0.0565108i −0.922097 0.386959i \(-0.873525\pi\)
0.896289 + 0.443470i \(0.146253\pi\)
\(524\) −0.730256 + 2.48703i −0.0319014 + 0.108646i
\(525\) 10.3400 + 2.92860i 0.451273 + 0.127815i
\(526\) −9.14624 + 1.31503i −0.398795 + 0.0573381i
\(527\) 1.28599 2.00103i 0.0560184 0.0871664i
\(528\) −4.04719 −0.176131
\(529\) 10.2039 20.6126i 0.443649 0.896200i
\(530\) 7.50696i 0.326082i
\(531\) −4.96792 + 7.73024i −0.215590 + 0.335464i
\(532\) −9.36916 + 14.8910i −0.406205 + 0.645606i
\(533\) 1.95203 + 4.27435i 0.0845519 + 0.185143i
\(534\) 2.55482 8.70092i 0.110558 0.376525i
\(535\) 1.93143 + 0.882057i 0.0835032 + 0.0381346i
\(536\) 13.9276 + 12.0684i 0.601582 + 0.521274i
\(537\) 19.0197 + 2.73462i 0.820762 + 0.118008i
\(538\) −2.03249 6.92203i −0.0876270 0.298430i
\(539\) 27.8005 + 23.1702i 1.19745 + 0.998013i
\(540\) −0.551705 0.858470i −0.0237416 0.0369427i
\(541\) −22.7952 + 14.6496i −0.980040 + 0.629834i −0.929474 0.368887i \(-0.879739\pi\)
−0.0505660 + 0.998721i \(0.516103\pi\)
\(542\) 12.8156 11.1048i 0.550479 0.476993i
\(543\) −7.28726 24.8181i −0.312726 1.06505i
\(544\) 0.249558 1.73572i 0.0106997 0.0744182i
\(545\) 0.119659 + 0.103685i 0.00512563 + 0.00444139i
\(546\) 2.90213 1.35917i 0.124200 0.0581670i
\(547\) 33.2660 + 9.76778i 1.42235 + 0.417640i 0.900298 0.435273i \(-0.143348\pi\)
0.522053 + 0.852913i \(0.325166\pi\)
\(548\) 0.698242 0.318877i 0.0298274 0.0136217i
\(549\) −0.508508 3.53675i −0.0217026 0.150945i
\(550\) −11.0451 + 17.1865i −0.470964 + 0.732835i
\(551\) −39.4573 −1.68094
\(552\) −7.51406 12.1041i −0.319820 0.515183i
\(553\) 5.59292 6.58113i 0.237835 0.279858i
\(554\) 15.3493 + 9.86442i 0.652131 + 0.419099i
\(555\) −0.175763 1.22246i −0.00746070 0.0518903i
\(556\) 17.0701 7.79563i 0.723932 0.330608i
\(557\) 2.97061 10.1170i 0.125869 0.428669i −0.872313 0.488948i \(-0.837381\pi\)
0.998182 + 0.0602788i \(0.0191990\pi\)
\(558\) −6.21758 2.83948i −0.263211 0.120205i
\(559\) 2.34614 2.70759i 0.0992311 0.114519i
\(560\) −1.50340 + 1.32817i −0.0635301 + 0.0561255i
\(561\) −1.67938 + 0.493109i −0.0709033 + 0.0208191i
\(562\) 3.93646 3.41096i 0.166050 0.143883i
\(563\) −6.97286 + 4.48119i −0.293871 + 0.188859i −0.679266 0.733892i \(-0.737702\pi\)
0.385395 + 0.922752i \(0.374065\pi\)
\(564\) 7.53441 4.84207i 0.317256 0.203888i
\(565\) 0.0233448 0.0202284i 0.000982122 0.000851013i
\(566\) −6.66502 + 1.95703i −0.280152 + 0.0822600i
\(567\) 1.98281 1.75171i 0.0832701 0.0735648i
\(568\) 11.6664 13.4637i 0.489511 0.564926i
\(569\) 12.8702 + 5.87761i 0.539546 + 0.246402i 0.666498 0.745507i \(-0.267792\pi\)
−0.126953 + 0.991909i \(0.540520\pi\)
\(570\) −1.67549 + 5.70619i −0.0701785 + 0.239006i
\(571\) 13.7185 6.26503i 0.574101 0.262183i −0.107138 0.994244i \(-0.534169\pi\)
0.681239 + 0.732061i \(0.261441\pi\)
\(572\) −0.965154 6.71279i −0.0403551 0.280676i
\(573\) 16.3245 + 10.4911i 0.681967 + 0.438274i
\(574\) 6.29073 7.40224i 0.262570 0.308964i
\(575\) −19.4777 0.304534i −0.812274 0.0126999i
\(576\) −6.60471 −0.275196
\(577\) 16.1699 25.1609i 0.673162 1.04746i −0.321761 0.946821i \(-0.604275\pi\)
0.994923 0.100640i \(-0.0320889\pi\)
\(578\) −2.33778 16.2596i −0.0972389 0.676311i
\(579\) −22.9682 + 10.4892i −0.954524 + 0.435917i
\(580\) 6.12121 + 1.79735i 0.254169 + 0.0746308i
\(581\) −14.9179 + 6.98658i −0.618901 + 0.289852i
\(582\) 11.3597 + 9.84321i 0.470873 + 0.408014i
\(583\) −5.86182 + 40.7698i −0.242772 + 1.68851i
\(584\) −1.45354 4.95029i −0.0601478 0.204845i
\(585\) −0.911375 + 0.789711i −0.0376807 + 0.0326505i
\(586\) 16.3140 10.4844i 0.673926 0.433106i
\(587\) −16.0655 24.9984i −0.663094 1.03179i −0.996045 0.0888498i \(-0.971681\pi\)
0.332951 0.942944i \(-0.391955\pi\)
\(588\) 5.66535 + 4.72177i 0.233635 + 0.194722i
\(589\) −12.4934 42.5486i −0.514782 1.75319i
\(590\) −8.57033 1.23223i −0.352835 0.0507300i
\(591\) 6.03381 + 5.22832i 0.248198 + 0.215064i
\(592\) −0.907969 0.414656i −0.0373173 0.0170422i
\(593\) 8.18674 27.8815i 0.336189 1.14495i −0.601903 0.798569i \(-0.705591\pi\)
0.938092 0.346385i \(-0.112591\pi\)
\(594\) 2.08938 + 4.57510i 0.0857282 + 0.187719i
\(595\) −0.462008 + 0.734297i −0.0189405 + 0.0301033i
\(596\) 7.77061 12.0913i 0.318297 0.495279i
\(597\) 23.1620i 0.947957i
\(598\) −4.44900 + 3.73492i −0.181933 + 0.152732i
\(599\) 11.0743 0.452484 0.226242 0.974071i \(-0.427356\pi\)
0.226242 + 0.974071i \(0.427356\pi\)
\(600\) −6.52358 + 10.1509i −0.266324 + 0.414408i
\(601\) 2.96022 0.425615i 0.120750 0.0173612i −0.0816749 0.996659i \(-0.526027\pi\)
0.202425 + 0.979298i \(0.435118\pi\)
\(602\) −7.12612 2.01834i −0.290439 0.0822615i
\(603\) 1.74777 5.95236i 0.0711748 0.242399i
\(604\) −2.09574 + 4.58903i −0.0852744 + 0.186725i
\(605\) 9.97666 11.5137i 0.405609 0.468098i
\(606\) −1.73814 + 12.0890i −0.0706070 + 0.491082i
\(607\) −4.30067 14.6467i −0.174559 0.594493i −0.999568 0.0293742i \(-0.990649\pi\)
0.825010 0.565119i \(-0.191170\pi\)
\(608\) −21.4086 24.7068i −0.868231 1.00199i
\(609\) −2.19673 + 16.3939i −0.0890158 + 0.664313i
\(610\) 2.83236 1.82025i 0.114679 0.0736998i
\(611\) −6.93094 7.99873i −0.280396 0.323594i
\(612\) −0.342233 + 0.100489i −0.0138340 + 0.00406202i
\(613\) −17.9531 2.58127i −0.725119 0.104256i −0.230135 0.973159i \(-0.573917\pi\)
−0.494984 + 0.868902i \(0.664826\pi\)
\(614\) 14.5797 + 12.6334i 0.588389 + 0.509842i
\(615\) −1.51856 + 3.32518i −0.0612342 + 0.134084i
\(616\) −33.9714 + 22.2956i −1.36875 + 0.898315i
\(617\) −16.1002 + 7.35273i −0.648171 + 0.296010i −0.712240 0.701936i \(-0.752319\pi\)
0.0640694 + 0.997945i \(0.479592\pi\)
\(618\) 13.7555 1.97774i 0.553326 0.0795563i
\(619\) 14.6033 + 9.38496i 0.586956 + 0.377213i 0.800153 0.599796i \(-0.204751\pi\)
−0.213198 + 0.977009i \(0.568388\pi\)
\(620\) 7.16988i 0.287949i
\(621\) −2.65558 + 3.99348i −0.106565 + 0.160253i
\(622\) 12.2853i 0.492595i
\(623\) −7.17487 23.5953i −0.287455 0.945327i
\(624\) 0.138707 + 0.964729i 0.00555273 + 0.0386201i
\(625\) 4.90527 + 10.7410i 0.196211 + 0.429642i
\(626\) 1.89036 + 0.555060i 0.0755540 + 0.0221847i
\(627\) −13.5552 + 29.6817i −0.541341 + 1.18537i
\(628\) −4.01037 + 4.62821i −0.160031 + 0.184686i
\(629\) −0.427282 0.0614339i −0.0170369 0.00244953i
\(630\) 2.27755 + 1.01382i 0.0907399 + 0.0403917i
\(631\) 15.4849 13.4178i 0.616445 0.534152i −0.289702 0.957117i \(-0.593556\pi\)
0.906146 + 0.422965i \(0.139011\pi\)
\(632\) 5.24273 + 8.15785i 0.208545 + 0.324502i
\(633\) 11.1045 + 17.2790i 0.441365 + 0.686778i
\(634\) 3.05526 + 3.52595i 0.121340 + 0.140034i
\(635\) −4.48317 + 1.31638i −0.177909 + 0.0522389i
\(636\) −1.19456 + 8.30832i −0.0473672 + 0.329446i
\(637\) 4.57030 7.42091i 0.181082 0.294027i
\(638\) −28.6021 13.0621i −1.13237 0.517134i
\(639\) −5.75411 1.68956i −0.227629 0.0668379i
\(640\) 1.58294 + 3.46615i 0.0625711 + 0.137012i
\(641\) −30.4745 + 4.38157i −1.20367 + 0.173062i −0.714822 0.699307i \(-0.753492\pi\)
−0.488849 + 0.872368i \(0.662583\pi\)
\(642\) −1.79412 1.15301i −0.0708083 0.0455057i
\(643\) 21.0898 0.831700 0.415850 0.909433i \(-0.363484\pi\)
0.415850 + 0.909433i \(0.363484\pi\)
\(644\) −12.1266 5.62675i −0.477854 0.221725i
\(645\) 2.78708 0.109741
\(646\) 1.74869 + 1.12382i 0.0688014 + 0.0442160i
\(647\) 13.9123 2.00028i 0.546948 0.0786393i 0.136699 0.990613i \(-0.456351\pi\)
0.410249 + 0.911973i \(0.365442\pi\)
\(648\) 1.23405 + 2.70220i 0.0484782 + 0.106152i
\(649\) −45.5827 13.3843i −1.78928 0.525379i
\(650\) 4.47529 + 2.04380i 0.175535 + 0.0801643i
\(651\) −18.3738 + 2.82198i −0.720127 + 0.110602i
\(652\) 2.42817 16.8883i 0.0950945 0.661397i
\(653\) 41.1077 12.0703i 1.60867 0.472348i 0.650727 0.759312i \(-0.274464\pi\)
0.957941 + 0.286964i \(0.0926460\pi\)
\(654\) −0.104142 0.120187i −0.00407229 0.00469967i
\(655\) 1.28829 + 2.00461i 0.0503375 + 0.0783267i
\(656\) 1.59730 + 2.48545i 0.0623642 + 0.0970406i
\(657\) −1.31255 + 1.13733i −0.0512074 + 0.0443715i
\(658\) −8.89787 + 19.9891i −0.346875 + 0.779255i
\(659\) −23.6940 3.40668i −0.922987 0.132706i −0.335594 0.942007i \(-0.608937\pi\)
−0.587394 + 0.809301i \(0.699846\pi\)
\(660\) 3.45493 3.98721i 0.134483 0.155202i
\(661\) 15.1356 33.1423i 0.588706 1.28909i −0.347514 0.937675i \(-0.612974\pi\)
0.936221 0.351413i \(-0.114299\pi\)
\(662\) 23.7388 + 6.97034i 0.922634 + 0.270910i
\(663\) 0.175099 + 0.383413i 0.00680028 + 0.0148905i
\(664\) −2.63223 18.3075i −0.102150 0.710471i
\(665\) 4.70539 + 15.4742i 0.182467 + 0.600063i
\(666\) 1.24047i 0.0480673i
\(667\) −3.80242 29.7399i −0.147230 1.15153i
\(668\) 12.9531i 0.501171i
\(669\) 24.7202 + 15.8867i 0.955737 + 0.614215i
\(670\) 5.78601 0.831902i 0.223533 0.0321392i
\(671\) 16.8037 7.67401i 0.648701 0.296252i
\(672\) −11.4572 + 7.51940i −0.441970 + 0.290067i
\(673\) 3.96637 8.68515i 0.152892 0.334788i −0.817651 0.575714i \(-0.804724\pi\)
0.970543 + 0.240927i \(0.0774513\pi\)
\(674\) 24.3484 + 21.0980i 0.937864 + 0.812664i
\(675\) 4.02052 + 0.578064i 0.154750 + 0.0222497i
\(676\) 11.5747 3.39862i 0.445179 0.130716i
\(677\) 9.05646 + 10.4517i 0.348068 + 0.401692i 0.902607 0.430466i \(-0.141651\pi\)
−0.554539 + 0.832158i \(0.687105\pi\)
\(678\) −0.0261005 + 0.0167738i −0.00100238 + 0.000644193i
\(679\) 40.5163 + 5.42906i 1.55487 + 0.208348i
\(680\) −0.637891 0.736165i −0.0244620 0.0282306i
\(681\) 7.05296 + 24.0202i 0.270270 + 0.920456i
\(682\) 5.02920 34.9788i 0.192578 1.33941i
\(683\) 28.3148 32.6770i 1.08344 1.25035i 0.117086 0.993122i \(-0.462645\pi\)
0.966350 0.257230i \(-0.0828097\pi\)
\(684\) −2.76235 + 6.04871i −0.105621 + 0.231278i
\(685\) 0.198812 0.677092i 0.00759622 0.0258704i
\(686\) −17.9003 2.04972i −0.683437 0.0782585i
\(687\) 19.7694 2.84241i 0.754250 0.108445i
\(688\) 1.21783 1.89498i 0.0464294 0.0722456i
\(689\) 9.91921 0.377892
\(690\) −4.46236 0.712963i −0.169879 0.0271420i
\(691\) 12.9076i 0.491028i 0.969393 + 0.245514i \(0.0789568\pi\)
−0.969393 + 0.245514i \(0.921043\pi\)
\(692\) −2.26524 + 3.52478i −0.0861115 + 0.133992i
\(693\) 11.5776 + 7.28444i 0.439797 + 0.276713i
\(694\) −9.36538 20.5073i −0.355505 0.778447i
\(695\) 4.86040 16.5530i 0.184365 0.627891i
\(696\) −16.8933 7.71490i −0.640338 0.292433i
\(697\) 0.965627 + 0.836720i 0.0365757 + 0.0316930i
\(698\) −27.3773 3.93627i −1.03625 0.148990i
\(699\) −2.26357 7.70902i −0.0856162 0.291582i
\(700\) 0.108653 + 11.3220i 0.00410669 + 0.427930i
\(701\) 19.3006 + 30.0324i 0.728975 + 1.13431i 0.985812 + 0.167853i \(0.0536833\pi\)
−0.256837 + 0.966455i \(0.582680\pi\)
\(702\) 1.01896 0.654845i 0.0384581 0.0247155i
\(703\) −6.08209 + 5.27016i −0.229390 + 0.198768i
\(704\) −9.62018 32.7633i −0.362574 1.23481i
\(705\) 1.17176 8.14976i 0.0441310 0.306938i
\(706\) −6.02768 5.22302i −0.226855 0.196571i
\(707\) 14.0875 + 30.0800i 0.529815 + 1.13128i
\(708\) −9.28912 2.72753i −0.349106 0.102507i
\(709\) −34.7361 + 15.8635i −1.30454 + 0.595765i −0.941815 0.336131i \(-0.890882\pi\)
−0.362727 + 0.931895i \(0.618154\pi\)
\(710\) −0.804194 5.59329i −0.0301809 0.209913i
\(711\) 1.76484 2.74615i 0.0661868 0.102989i
\(712\) 27.6906 1.03775
\(713\) 30.8660 13.5169i 1.15594 0.506212i
\(714\) 0.564284 0.663987i 0.0211178 0.0248491i
\(715\) −5.24492 3.37070i −0.196149 0.126057i
\(716\) 2.88114 + 20.0388i 0.107673 + 0.748884i
\(717\) −7.67139 + 3.50341i −0.286493 + 0.130837i
\(718\) −6.86685 + 23.3864i −0.256269 + 0.872771i
\(719\) −21.0713 9.62293i −0.785826 0.358875i −0.0182509 0.999833i \(-0.505810\pi\)
−0.767575 + 0.640959i \(0.778537\pi\)
\(720\) −0.496526 + 0.573022i −0.0185044 + 0.0213553i
\(721\) 28.3241 25.0229i 1.05485 0.931901i
\(722\) 19.4478 5.71038i 0.723771 0.212518i
\(723\) −6.65526 + 5.76681i −0.247512 + 0.214470i
\(724\) 22.9256 14.7334i 0.852023 0.547562i
\(725\) −21.3624 + 13.7288i −0.793379 + 0.509873i
\(726\) −11.5644 + 10.0206i −0.429197 + 0.371901i
\(727\) −25.9741 + 7.62667i −0.963324 + 0.282858i −0.725324 0.688408i \(-0.758310\pi\)
−0.238000 + 0.971265i \(0.576492\pi\)
\(728\) 6.47888 + 7.33364i 0.240123 + 0.271803i
\(729\) 0.654861 0.755750i 0.0242541 0.0279907i
\(730\) −1.48860 0.679820i −0.0550955 0.0251613i
\(731\) 0.274453 0.934702i 0.0101510 0.0345712i
\(732\) 3.42436 1.56385i 0.126568 0.0578017i
\(733\) 3.33511 + 23.1962i 0.123185 + 0.856771i 0.953911 + 0.300089i \(0.0970165\pi\)
−0.830726 + 0.556681i \(0.812074\pi\)
\(734\) −9.56559 6.14743i −0.353072 0.226906i
\(735\) 6.69124 1.09351i 0.246810 0.0403348i
\(736\) 16.5590 18.5171i 0.610373 0.682549i
\(737\) 32.0730 1.18143
\(738\) 1.98504 3.08878i 0.0730702 0.113700i
\(739\) 6.93514 + 48.2350i 0.255113 + 1.77435i 0.566493 + 0.824066i \(0.308300\pi\)
−0.311380 + 0.950286i \(0.600791\pi\)
\(740\) 1.18361 0.540536i 0.0435104 0.0198705i
\(741\) 7.53980 + 2.21388i 0.276981 + 0.0813291i
\(742\) −8.69711 18.5703i −0.319281 0.681738i
\(743\) −11.4437 9.91599i −0.419827 0.363782i 0.419180 0.907903i \(-0.362318\pi\)
−0.839007 + 0.544121i \(0.816863\pi\)
\(744\) 2.97040 20.6596i 0.108900 0.757418i
\(745\) −3.72262 12.6781i −0.136386 0.464489i
\(746\) 18.6961 16.2003i 0.684514 0.593135i
\(747\) −5.23780 + 3.36613i −0.191641 + 0.123160i
\(748\) −0.996969 1.55131i −0.0364528 0.0567217i
\(749\) −5.79978 + 0.0556584i −0.211919 + 0.00203371i
\(750\) 2.40563 + 8.19283i 0.0878413 + 0.299160i
\(751\) 9.40177 + 1.35177i 0.343075 + 0.0493268i 0.311699 0.950181i \(-0.399102\pi\)
0.0313762 + 0.999508i \(0.490011\pi\)
\(752\) −5.02915 4.35779i −0.183394 0.158912i
\(753\) 18.8427 + 8.60519i 0.686667 + 0.313590i
\(754\) −2.13336 + 7.26555i −0.0776923 + 0.264596i
\(755\) 1.92665 + 4.21877i 0.0701179 + 0.153537i
\(756\) 2.35935 + 1.48447i 0.0858088 + 0.0539895i
\(757\) −22.2383 + 34.6035i −0.808265 + 1.25768i 0.154674 + 0.987966i \(0.450567\pi\)
−0.962939 + 0.269719i \(0.913069\pi\)
\(758\) 0.844020i 0.0306562i
\(759\) −23.6781 7.35649i −0.859460 0.267024i
\(760\) −18.1599 −0.658729
\(761\) 0.495110 0.770407i 0.0179477 0.0279272i −0.832164 0.554530i \(-0.812898\pi\)
0.850112 + 0.526603i \(0.176534\pi\)
\(762\) 4.64527 0.667889i 0.168280 0.0241951i
\(763\) −0.416130 0.117861i −0.0150649 0.00426686i
\(764\) −5.75993 + 19.6165i −0.208387 + 0.709701i
\(765\) −0.136216 + 0.298271i −0.00492490 + 0.0107840i
\(766\) 11.1389 12.8550i 0.402465 0.464470i
\(767\) −1.62818 + 11.3243i −0.0587903 + 0.408896i
\(768\) −4.79980 16.3466i −0.173198 0.589857i
\(769\) −25.6610 29.6144i −0.925361 1.06792i −0.997510 0.0705298i \(-0.977531\pi\)
0.0721486 0.997394i \(-0.477014\pi\)
\(770\) −1.71177 + 12.7747i −0.0616880 + 0.460369i
\(771\) 18.4639 11.8660i 0.664961 0.427345i
\(772\) −17.4211 20.1050i −0.627000 0.723596i