Properties

Label 483.2.bf.a.10.11
Level $483$
Weight $2$
Character 483.10
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
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.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 10.11
Character \(\chi\) \(=\) 483.10
Dual form 483.2.bf.a.145.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.319328 + 0.922636i) q^{2} +(0.458227 + 0.888835i) q^{3} +(0.822819 + 0.647072i) q^{4} +(2.77405 - 0.264890i) q^{5} +(-0.966396 + 0.138947i) q^{6} +(1.16682 + 2.37456i) q^{7} +(-2.50245 + 1.60823i) q^{8} +(-0.580057 + 0.814576i) q^{9} +O(q^{10})\) \(q+(-0.319328 + 0.922636i) q^{2} +(0.458227 + 0.888835i) q^{3} +(0.822819 + 0.647072i) q^{4} +(2.77405 - 0.264890i) q^{5} +(-0.966396 + 0.138947i) q^{6} +(1.16682 + 2.37456i) q^{7} +(-2.50245 + 1.60823i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(-0.641435 + 2.64403i) q^{10} +(-1.78836 + 0.618957i) q^{11} +(-0.198103 + 1.02786i) q^{12} +(-1.20021 - 4.08754i) q^{13} +(-2.56345 + 0.318291i) q^{14} +(1.50659 + 2.34430i) q^{15} +(-0.191135 - 0.787870i) q^{16} +(1.57904 + 0.632151i) q^{17} +(-0.566329 - 0.795298i) q^{18} +(3.37986 - 1.35309i) q^{19} +(2.45395 + 1.57706i) q^{20} +(-1.57592 + 2.12520i) q^{21} -1.84766i q^{22} +(-1.67869 - 4.49244i) q^{23} +(-2.57614 - 1.48733i) q^{24} +(2.71556 - 0.523382i) q^{25} +(4.15458 + 0.197907i) q^{26} +(-0.989821 - 0.142315i) q^{27} +(-0.576426 + 2.70885i) q^{28} +(-0.571461 - 3.97460i) q^{29} +(-2.64403 + 0.641435i) q^{30} +(3.99327 - 0.190223i) q^{31} +(-5.13444 - 0.490280i) q^{32} +(-1.36962 - 1.30593i) q^{33} +(-1.08747 + 1.25501i) q^{34} +(3.86583 + 6.27807i) q^{35} +(-1.00437 + 0.294910i) q^{36} +(5.27961 + 3.75959i) q^{37} +(0.169129 + 3.55046i) q^{38} +(3.08318 - 2.93981i) q^{39} +(-6.51593 + 5.12418i) q^{40} +(-6.98182 - 3.18849i) q^{41} +(-1.45755 - 2.13264i) q^{42} +(-1.81961 + 2.83137i) q^{43} +(-1.87201 - 0.647907i) q^{44} +(-1.39334 + 2.41333i) q^{45} +(4.68094 - 0.114258i) q^{46} +(-2.22689 + 1.28570i) q^{47} +(0.612704 - 0.530911i) q^{48} +(-4.27705 + 5.54138i) q^{49} +(-0.384263 + 2.67261i) q^{50} +(0.161678 + 1.69317i) q^{51} +(1.65738 - 4.13993i) q^{52} +(-9.00278 - 9.44184i) q^{53} +(0.447382 - 0.867800i) q^{54} +(-4.79705 + 2.19074i) q^{55} +(-6.73874 - 4.06569i) q^{56} +(2.75142 + 2.38412i) q^{57} +(3.84959 + 0.741947i) q^{58} +(-1.32343 - 0.321060i) q^{59} +(-0.277280 + 2.90380i) q^{60} +(2.70603 + 1.39506i) q^{61} +(-1.09965 + 3.74508i) q^{62} +(-2.61108 - 0.426913i) q^{63} +(2.76549 - 6.05558i) q^{64} +(-4.41220 - 11.0211i) q^{65} +(1.64226 - 0.846645i) q^{66} +(1.46636 + 7.60819i) q^{67} +(0.890213 + 1.54189i) q^{68} +(3.22382 - 3.55063i) q^{69} +(-7.02684 + 1.56199i) q^{70} +(9.83296 + 11.3478i) q^{71} +(0.141540 - 2.97130i) q^{72} +(8.57468 - 10.9036i) q^{73} +(-5.15466 + 3.67062i) q^{74} +(1.70954 + 2.17386i) q^{75} +(3.65656 + 1.07366i) q^{76} +(-3.55645 - 3.52435i) q^{77} +(1.72783 + 3.78342i) q^{78} +(5.47650 - 5.74358i) q^{79} +(-0.738919 - 2.13497i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(5.17131 - 5.42351i) q^{82} +(3.02099 + 6.61505i) q^{83} +(-2.67185 + 0.728918i) q^{84} +(4.54778 + 1.33535i) q^{85} +(-2.03127 - 2.58297i) q^{86} +(3.27090 - 2.32920i) q^{87} +(3.47986 - 4.42500i) q^{88} +(-0.118331 + 2.48407i) q^{89} +(-1.78169 - 2.05618i) q^{90} +(8.30567 - 7.61941i) q^{91} +(1.52568 - 4.78269i) q^{92} +(1.99890 + 3.46219i) q^{93} +(-0.475122 - 2.46517i) q^{94} +(9.01749 - 4.64884i) q^{95} +(-1.91696 - 4.78833i) q^{96} +(-3.86932 + 8.47263i) q^{97} +(-3.74689 - 5.71568i) q^{98} +(0.533163 - 1.81579i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.319328 + 0.922636i −0.225799 + 0.652402i 0.774016 + 0.633166i \(0.218245\pi\)
−0.999815 + 0.0192367i \(0.993876\pi\)
\(3\) 0.458227 + 0.888835i 0.264557 + 0.513169i
\(4\) 0.822819 + 0.647072i 0.411409 + 0.323536i
\(5\) 2.77405 0.264890i 1.24059 0.118462i 0.545951 0.837817i \(-0.316168\pi\)
0.694643 + 0.719354i \(0.255562\pi\)
\(6\) −0.966396 + 0.138947i −0.394530 + 0.0567248i
\(7\) 1.16682 + 2.37456i 0.441018 + 0.897498i
\(8\) −2.50245 + 1.60823i −0.884749 + 0.568594i
\(9\) −0.580057 + 0.814576i −0.193352 + 0.271525i
\(10\) −0.641435 + 2.64403i −0.202839 + 0.836116i
\(11\) −1.78836 + 0.618957i −0.539211 + 0.186623i −0.583080 0.812415i \(-0.698153\pi\)
0.0438695 + 0.999037i \(0.486031\pi\)
\(12\) −0.198103 + 1.02786i −0.0571874 + 0.296716i
\(13\) −1.20021 4.08754i −0.332879 1.13368i −0.940596 0.339527i \(-0.889733\pi\)
0.607718 0.794153i \(-0.292085\pi\)
\(14\) −2.56345 + 0.318291i −0.685111 + 0.0850669i
\(15\) 1.50659 + 2.34430i 0.389000 + 0.605295i
\(16\) −0.191135 0.787870i −0.0477838 0.196968i
\(17\) 1.57904 + 0.632151i 0.382973 + 0.153319i 0.555157 0.831746i \(-0.312658\pi\)
−0.172184 + 0.985065i \(0.555082\pi\)
\(18\) −0.566329 0.795298i −0.133485 0.187454i
\(19\) 3.37986 1.35309i 0.775393 0.310420i 0.0499942 0.998750i \(-0.484080\pi\)
0.725399 + 0.688329i \(0.241655\pi\)
\(20\) 2.45395 + 1.57706i 0.548719 + 0.352640i
\(21\) −1.57592 + 2.12520i −0.343894 + 0.463756i
\(22\) 1.84766i 0.393921i
\(23\) −1.67869 4.49244i −0.350030 0.936738i
\(24\) −2.57614 1.48733i −0.525852 0.303601i
\(25\) 2.71556 0.523382i 0.543113 0.104676i
\(26\) 4.15458 + 0.197907i 0.814779 + 0.0388127i
\(27\) −0.989821 0.142315i −0.190491 0.0273885i
\(28\) −0.576426 + 2.70885i −0.108934 + 0.511924i
\(29\) −0.571461 3.97460i −0.106118 0.738064i −0.971515 0.236978i \(-0.923843\pi\)
0.865397 0.501086i \(-0.167066\pi\)
\(30\) −2.64403 + 0.641435i −0.482732 + 0.117109i
\(31\) 3.99327 0.190223i 0.717212 0.0341650i 0.314196 0.949358i \(-0.398265\pi\)
0.403016 + 0.915193i \(0.367962\pi\)
\(32\) −5.13444 0.490280i −0.907650 0.0866700i
\(33\) −1.36962 1.30593i −0.238421 0.227334i
\(34\) −1.08747 + 1.25501i −0.186500 + 0.215233i
\(35\) 3.86583 + 6.27807i 0.653444 + 1.06119i
\(36\) −1.00437 + 0.294910i −0.167395 + 0.0491516i
\(37\) 5.27961 + 3.75959i 0.867962 + 0.618073i 0.924860 0.380307i \(-0.124182\pi\)
−0.0568982 + 0.998380i \(0.518121\pi\)
\(38\) 0.169129 + 3.55046i 0.0274364 + 0.575961i
\(39\) 3.08318 2.93981i 0.493705 0.470746i
\(40\) −6.51593 + 5.12418i −1.03026 + 0.810204i
\(41\) −6.98182 3.18849i −1.09038 0.497959i −0.212655 0.977127i \(-0.568211\pi\)
−0.877723 + 0.479169i \(0.840938\pi\)
\(42\) −1.45755 2.13264i −0.224905 0.329073i
\(43\) −1.81961 + 2.83137i −0.277488 + 0.431780i −0.951824 0.306645i \(-0.900794\pi\)
0.674336 + 0.738425i \(0.264430\pi\)
\(44\) −1.87201 0.647907i −0.282215 0.0976757i
\(45\) −1.39334 + 2.41333i −0.207706 + 0.359758i
\(46\) 4.68094 0.114258i 0.690167 0.0168464i
\(47\) −2.22689 + 1.28570i −0.324825 + 0.187538i −0.653541 0.756891i \(-0.726717\pi\)
0.328716 + 0.944429i \(0.393384\pi\)
\(48\) 0.612704 0.530911i 0.0884362 0.0766304i
\(49\) −4.27705 + 5.54138i −0.611007 + 0.791625i
\(50\) −0.384263 + 2.67261i −0.0543430 + 0.377964i
\(51\) 0.161678 + 1.69317i 0.0226395 + 0.237091i
\(52\) 1.65738 4.13993i 0.229837 0.574105i
\(53\) −9.00278 9.44184i −1.23663 1.29694i −0.939685 0.342041i \(-0.888882\pi\)
−0.296941 0.954896i \(-0.595967\pi\)
\(54\) 0.447382 0.867800i 0.0608810 0.118093i
\(55\) −4.79705 + 2.19074i −0.646834 + 0.295399i
\(56\) −6.73874 4.06569i −0.900502 0.543301i
\(57\) 2.75142 + 2.38412i 0.364434 + 0.315784i
\(58\) 3.84959 + 0.741947i 0.505476 + 0.0974225i
\(59\) −1.32343 0.321060i −0.172296 0.0417985i 0.148683 0.988885i \(-0.452497\pi\)
−0.320979 + 0.947086i \(0.604012\pi\)
\(60\) −0.277280 + 2.90380i −0.0357966 + 0.374879i
\(61\) 2.70603 + 1.39506i 0.346472 + 0.178619i 0.622675 0.782481i \(-0.286046\pi\)
−0.276203 + 0.961099i \(0.589076\pi\)
\(62\) −1.09965 + 3.74508i −0.139656 + 0.475625i
\(63\) −2.61108 0.426913i −0.328965 0.0537860i
\(64\) 2.76549 6.05558i 0.345686 0.756948i
\(65\) −4.41220 11.0211i −0.547266 1.36700i
\(66\) 1.64226 0.846645i 0.202148 0.104215i
\(67\) 1.46636 + 7.60819i 0.179144 + 0.929488i 0.954556 + 0.298032i \(0.0963303\pi\)
−0.775412 + 0.631456i \(0.782458\pi\)
\(68\) 0.890213 + 1.54189i 0.107954 + 0.186982i
\(69\) 3.22382 3.55063i 0.388102 0.427446i
\(70\) −7.02684 + 1.56199i −0.839868 + 0.186694i
\(71\) 9.83296 + 11.3478i 1.16696 + 1.34674i 0.926596 + 0.376057i \(0.122720\pi\)
0.240361 + 0.970684i \(0.422734\pi\)
\(72\) 0.141540 2.97130i 0.0166807 0.350171i
\(73\) 8.57468 10.9036i 1.00359 1.27617i 0.0427438 0.999086i \(-0.486390\pi\)
0.960846 0.277082i \(-0.0893675\pi\)
\(74\) −5.15466 + 3.67062i −0.599217 + 0.426701i
\(75\) 1.70954 + 2.17386i 0.197401 + 0.251016i
\(76\) 3.65656 + 1.07366i 0.419436 + 0.123158i
\(77\) −3.55645 3.52435i −0.405295 0.401637i
\(78\) 1.72783 + 3.78342i 0.195638 + 0.428388i
\(79\) 5.47650 5.74358i 0.616154 0.646204i −0.339531 0.940595i \(-0.610268\pi\)
0.955685 + 0.294391i \(0.0951169\pi\)
\(80\) −0.738919 2.13497i −0.0826136 0.238696i
\(81\) −0.327068 0.945001i −0.0363409 0.105000i
\(82\) 5.17131 5.42351i 0.571075 0.598926i
\(83\) 3.02099 + 6.61505i 0.331597 + 0.726096i 0.999841 0.0178466i \(-0.00568104\pi\)
−0.668244 + 0.743942i \(0.732954\pi\)
\(84\) −2.67185 + 0.728918i −0.291523 + 0.0795315i
\(85\) 4.54778 + 1.33535i 0.493276 + 0.144839i
\(86\) −2.03127 2.58297i −0.219038 0.278529i
\(87\) 3.27090 2.32920i 0.350678 0.249716i
\(88\) 3.47986 4.42500i 0.370954 0.471706i
\(89\) −0.118331 + 2.48407i −0.0125431 + 0.263311i 0.983881 + 0.178822i \(0.0572287\pi\)
−0.996424 + 0.0844887i \(0.973074\pi\)
\(90\) −1.78169 2.05618i −0.187807 0.216741i
\(91\) 8.30567 7.61941i 0.870671 0.798731i
\(92\) 1.52568 4.78269i 0.159063 0.498630i
\(93\) 1.99890 + 3.46219i 0.207276 + 0.359013i
\(94\) −0.475122 2.46517i −0.0490051 0.254263i
\(95\) 9.01749 4.64884i 0.925175 0.476961i
\(96\) −1.91696 4.78833i −0.195649 0.488707i
\(97\) −3.86932 + 8.47263i −0.392870 + 0.860265i 0.605074 + 0.796169i \(0.293144\pi\)
−0.997944 + 0.0640958i \(0.979584\pi\)
\(98\) −3.74689 5.71568i −0.378494 0.577370i
\(99\) 0.533163 1.81579i 0.0535849 0.182493i
\(100\) 2.57308 + 1.32652i 0.257308 + 0.132652i
\(101\) −0.295124 + 3.09068i −0.0293659 + 0.307534i 0.968841 + 0.247682i \(0.0796689\pi\)
−0.998207 + 0.0598517i \(0.980937\pi\)
\(102\) −1.61381 0.391506i −0.159791 0.0387649i
\(103\) −13.3951 2.58170i −1.31986 0.254382i −0.519793 0.854292i \(-0.673991\pi\)
−0.800068 + 0.599910i \(0.795203\pi\)
\(104\) 9.57716 + 8.29866i 0.939118 + 0.813750i
\(105\) −3.80875 + 6.31286i −0.371696 + 0.616072i
\(106\) 11.5862 5.29125i 1.12535 0.513932i
\(107\) 8.02128 15.5591i 0.775446 1.50416i −0.0859939 0.996296i \(-0.527407\pi\)
0.861440 0.507860i \(-0.169563\pi\)
\(108\) −0.722356 0.757585i −0.0695087 0.0728986i
\(109\) 7.12866 17.8065i 0.682802 1.70556i −0.0255261 0.999674i \(-0.508126\pi\)
0.708328 0.705883i \(-0.249450\pi\)
\(110\) −0.489426 5.12550i −0.0466649 0.488697i
\(111\) −0.922402 + 6.41545i −0.0875505 + 0.608927i
\(112\) 1.64782 1.37317i 0.155705 0.129752i
\(113\) −2.81934 + 2.44297i −0.265221 + 0.229815i −0.777311 0.629117i \(-0.783417\pi\)
0.512090 + 0.858932i \(0.328871\pi\)
\(114\) −3.07828 + 1.77724i −0.288307 + 0.166454i
\(115\) −5.84677 12.0176i −0.545214 1.12065i
\(116\) 2.10164 3.64015i 0.195132 0.337979i
\(117\) 4.02580 + 1.39334i 0.372186 + 0.128815i
\(118\) 0.718829 1.11852i 0.0661736 0.102968i
\(119\) 0.341377 + 4.48712i 0.0312940 + 0.411334i
\(120\) −7.54032 3.44355i −0.688334 0.314352i
\(121\) −5.83146 + 4.58591i −0.530133 + 0.416901i
\(122\) −2.15124 + 2.05120i −0.194764 + 0.185707i
\(123\) −0.365212 7.66674i −0.0329301 0.691287i
\(124\) 3.40882 + 2.42741i 0.306121 + 0.217988i
\(125\) −5.97448 + 1.75426i −0.534373 + 0.156906i
\(126\) 1.22768 2.27275i 0.109370 0.202473i
\(127\) −2.18422 + 2.52072i −0.193818 + 0.223678i −0.844337 0.535812i \(-0.820006\pi\)
0.650520 + 0.759489i \(0.274551\pi\)
\(128\) −2.76174 2.63332i −0.244106 0.232755i
\(129\) −3.35042 0.319926i −0.294988 0.0281679i
\(130\) 11.5774 0.551501i 1.01541 0.0483699i
\(131\) 17.1944 4.17131i 1.50228 0.364449i 0.601552 0.798834i \(-0.294549\pi\)
0.900727 + 0.434385i \(0.143034\pi\)
\(132\) −0.281919 1.96079i −0.0245379 0.170665i
\(133\) 7.15669 + 6.44685i 0.620564 + 0.559013i
\(134\) −7.48784 1.07659i −0.646851 0.0930031i
\(135\) −2.78352 0.132595i −0.239567 0.0114120i
\(136\) −4.96810 + 0.957523i −0.426011 + 0.0821069i
\(137\) 1.99911 + 1.15419i 0.170796 + 0.0986089i 0.582961 0.812500i \(-0.301894\pi\)
−0.412165 + 0.911109i \(0.635227\pi\)
\(138\) 2.24649 + 4.10823i 0.191234 + 0.349716i
\(139\) 19.5526i 1.65843i 0.558933 + 0.829213i \(0.311211\pi\)
−0.558933 + 0.829213i \(0.688789\pi\)
\(140\) −0.881489 + 7.66718i −0.0744994 + 0.647995i
\(141\) −2.16319 1.39020i −0.182174 0.117076i
\(142\) −13.6099 + 5.44857i −1.14211 + 0.457234i
\(143\) 4.67642 + 6.56712i 0.391062 + 0.549170i
\(144\) 0.752650 + 0.301315i 0.0627208 + 0.0251096i
\(145\) −2.63809 10.8744i −0.219082 0.903067i
\(146\) 7.32192 + 11.3931i 0.605966 + 0.942902i
\(147\) −6.88523 1.26239i −0.567884 0.104120i
\(148\) 1.91143 + 6.50975i 0.157119 + 0.535098i
\(149\) 2.88136 14.9499i 0.236050 1.22474i −0.649559 0.760311i \(-0.725046\pi\)
0.885609 0.464432i \(-0.153742\pi\)
\(150\) −2.55159 + 0.883114i −0.208336 + 0.0721059i
\(151\) 4.10691 16.9289i 0.334216 1.37766i −0.518409 0.855133i \(-0.673476\pi\)
0.852625 0.522523i \(-0.175009\pi\)
\(152\) −6.28185 + 8.82162i −0.509525 + 0.715528i
\(153\) −1.43087 + 0.919562i −0.115679 + 0.0743421i
\(154\) 4.38736 2.15589i 0.353544 0.173726i
\(155\) 11.0272 1.58547i 0.885722 0.127348i
\(156\) 4.43917 0.423889i 0.355418 0.0339383i
\(157\) −10.0762 7.92401i −0.804169 0.632405i 0.129081 0.991634i \(-0.458797\pi\)
−0.933249 + 0.359229i \(0.883040\pi\)
\(158\) 3.55044 + 6.88690i 0.282458 + 0.547892i
\(159\) 4.26693 12.3285i 0.338390 0.977713i
\(160\) −14.3731 −1.13629
\(161\) 8.70883 9.22802i 0.686352 0.727270i
\(162\) 0.976334 0.0767080
\(163\) 1.28748 3.71993i 0.100843 0.291367i −0.883282 0.468842i \(-0.844671\pi\)
0.984125 + 0.177474i \(0.0567927\pi\)
\(164\) −3.68159 7.14129i −0.287484 0.557641i
\(165\) −4.14534 3.25993i −0.322714 0.253785i
\(166\) −7.06797 + 0.674909i −0.548581 + 0.0523831i
\(167\) −6.95016 + 0.999282i −0.537819 + 0.0773268i −0.405872 0.913930i \(-0.633032\pi\)
−0.131947 + 0.991257i \(0.542123\pi\)
\(168\) 0.525864 7.85264i 0.0405713 0.605844i
\(169\) −4.33121 + 2.78350i −0.333170 + 0.214115i
\(170\) −2.68427 + 3.76954i −0.205874 + 0.289110i
\(171\) −0.858315 + 3.53802i −0.0656370 + 0.270559i
\(172\) −3.32931 + 1.15229i −0.253857 + 0.0878609i
\(173\) −0.228714 + 1.18668i −0.0173888 + 0.0902215i −0.989586 0.143941i \(-0.954023\pi\)
0.972198 + 0.234162i \(0.0752347\pi\)
\(174\) 1.10451 + 3.76163i 0.0837330 + 0.285169i
\(175\) 4.41138 + 5.83757i 0.333469 + 0.441279i
\(176\) 0.829477 + 1.29069i 0.0625242 + 0.0972895i
\(177\) −0.321060 1.32343i −0.0241324 0.0994750i
\(178\) −2.25411 0.902409i −0.168953 0.0676384i
\(179\) 7.20206 + 10.1139i 0.538307 + 0.755947i 0.990728 0.135858i \(-0.0433790\pi\)
−0.452421 + 0.891804i \(0.649440\pi\)
\(180\) −2.70806 + 1.08414i −0.201847 + 0.0808073i
\(181\) 7.69914 + 4.94794i 0.572273 + 0.367777i 0.794543 0.607208i \(-0.207710\pi\)
−0.222270 + 0.974985i \(0.571347\pi\)
\(182\) 4.37771 + 10.0962i 0.324498 + 0.748380i
\(183\) 3.04447i 0.225054i
\(184\) 11.4257 + 8.54239i 0.842313 + 0.629754i
\(185\) 15.6418 + 9.03079i 1.15001 + 0.663957i
\(186\) −3.83265 + 0.738682i −0.281023 + 0.0541628i
\(187\) −3.21516 0.153157i −0.235116 0.0111999i
\(188\) −2.66426 0.383063i −0.194311 0.0279378i
\(189\) −0.817011 2.51644i −0.0594288 0.183044i
\(190\) 1.40966 + 9.80437i 0.102267 + 0.711283i
\(191\) −10.0503 + 2.43818i −0.727217 + 0.176421i −0.582243 0.813015i \(-0.697825\pi\)
−0.144973 + 0.989436i \(0.546310\pi\)
\(192\) 6.64964 0.316761i 0.479896 0.0228603i
\(193\) −15.2740 1.45849i −1.09944 0.104984i −0.470474 0.882414i \(-0.655917\pi\)
−0.628970 + 0.777430i \(0.716523\pi\)
\(194\) −6.58157 6.27552i −0.472530 0.450556i
\(195\) 7.77419 8.97190i 0.556722 0.642491i
\(196\) −7.10490 + 1.79199i −0.507493 + 0.127999i
\(197\) −6.94715 + 2.03987i −0.494964 + 0.145334i −0.519682 0.854360i \(-0.673949\pi\)
0.0247180 + 0.999694i \(0.492131\pi\)
\(198\) 1.50506 + 1.07175i 0.106960 + 0.0761656i
\(199\) 0.000654053 0.0137303i 4.63646e−5 0.000973312i 0.998890 0.0470953i \(-0.0149964\pi\)
−0.998844 + 0.0480686i \(0.984693\pi\)
\(200\) −5.95385 + 5.67698i −0.421000 + 0.401423i
\(201\) −6.09050 + 4.78963i −0.429591 + 0.337834i
\(202\) −2.75733 1.25923i −0.194005 0.0885991i
\(203\) 8.77111 5.99461i 0.615612 0.420739i
\(204\) −0.962572 + 1.49779i −0.0673935 + 0.104866i
\(205\) −20.2126 6.99563i −1.41171 0.488596i
\(206\) 6.65940 11.5344i 0.463982 0.803641i
\(207\) 4.63317 + 1.23845i 0.322027 + 0.0860784i
\(208\) −2.99105 + 1.72688i −0.207392 + 0.119738i
\(209\) −5.20690 + 4.51180i −0.360169 + 0.312088i
\(210\) −4.60824 5.52996i −0.317999 0.381604i
\(211\) 3.72624 25.9166i 0.256525 1.78417i −0.300610 0.953747i \(-0.597190\pi\)
0.557135 0.830422i \(-0.311901\pi\)
\(212\) −1.29810 13.5944i −0.0891542 0.933665i
\(213\) −5.58064 + 13.9398i −0.382379 + 0.955137i
\(214\) 11.7940 + 12.3692i 0.806220 + 0.845539i
\(215\) −4.29770 + 8.33637i −0.293101 + 0.568536i
\(216\) 2.70585 1.23572i 0.184110 0.0840802i
\(217\) 5.11113 + 9.26029i 0.346966 + 0.628629i
\(218\) 14.1526 + 12.2633i 0.958534 + 0.830574i
\(219\) 13.6206 + 2.62516i 0.920398 + 0.177392i
\(220\) −5.36467 1.30145i −0.361686 0.0877440i
\(221\) 0.688767 7.21309i 0.0463315 0.485205i
\(222\) −5.62458 2.89967i −0.377497 0.194613i
\(223\) −2.54291 + 8.66037i −0.170286 + 0.579941i 0.829485 + 0.558529i \(0.188634\pi\)
−0.999771 + 0.0214116i \(0.993184\pi\)
\(224\) −4.82679 12.7641i −0.322503 0.852837i
\(225\) −1.14885 + 2.51563i −0.0765898 + 0.167708i
\(226\) −1.35368 3.38133i −0.0900455 0.224923i
\(227\) −11.9293 + 6.14998i −0.791775 + 0.408188i −0.806152 0.591708i \(-0.798454\pi\)
0.0143772 + 0.999897i \(0.495423\pi\)
\(228\) 0.721223 + 3.74206i 0.0477641 + 0.247824i
\(229\) 9.23361 + 15.9931i 0.610174 + 1.05685i 0.991211 + 0.132293i \(0.0422338\pi\)
−0.381037 + 0.924560i \(0.624433\pi\)
\(230\) 12.9549 1.55689i 0.854221 0.102658i
\(231\) 1.50291 4.77605i 0.0988841 0.314241i
\(232\) 7.82210 + 9.02718i 0.513546 + 0.592664i
\(233\) −1.01384 + 21.2831i −0.0664187 + 1.39430i 0.682135 + 0.731227i \(0.261052\pi\)
−0.748553 + 0.663074i \(0.769251\pi\)
\(234\) −2.57110 + 3.26942i −0.168078 + 0.213729i
\(235\) −5.83695 + 4.15647i −0.380760 + 0.271138i
\(236\) −0.881193 1.12053i −0.0573608 0.0729401i
\(237\) 7.61458 + 2.23584i 0.494620 + 0.145234i
\(238\) −4.24899 1.11789i −0.275421 0.0724623i
\(239\) 4.65523 + 10.1935i 0.301122 + 0.659364i 0.998346 0.0574883i \(-0.0183092\pi\)
−0.697225 + 0.716853i \(0.745582\pi\)
\(240\) 1.55904 1.63507i 0.100636 0.105544i
\(241\) −5.82614 16.8335i −0.375295 1.08434i −0.961648 0.274288i \(-0.911558\pi\)
0.586353 0.810056i \(-0.300563\pi\)
\(242\) −2.36898 6.84473i −0.152284 0.439996i
\(243\) 0.690079 0.723734i 0.0442686 0.0464276i
\(244\) 1.32387 + 2.89888i 0.0847523 + 0.185582i
\(245\) −10.3969 + 16.5050i −0.664234 + 1.05447i
\(246\) 7.19024 + 2.11124i 0.458433 + 0.134608i
\(247\) −9.58736 12.1913i −0.610029 0.775715i
\(248\) −9.68703 + 6.89810i −0.615127 + 0.438030i
\(249\) −4.49539 + 5.71635i −0.284884 + 0.362259i
\(250\) 0.289267 6.07245i 0.0182948 0.384056i
\(251\) −5.10731 5.89415i −0.322370 0.372035i 0.571314 0.820732i \(-0.306434\pi\)
−0.893684 + 0.448696i \(0.851888\pi\)
\(252\) −1.87220 2.04083i −0.117938 0.128560i
\(253\) 5.78272 + 6.99506i 0.363557 + 0.439776i
\(254\) −1.62823 2.82017i −0.102164 0.176953i
\(255\) 0.897009 + 4.65412i 0.0561729 + 0.291452i
\(256\) 15.1458 7.80819i 0.946610 0.488012i
\(257\) 4.87326 + 12.1728i 0.303986 + 0.759319i 0.999180 + 0.0404973i \(0.0128942\pi\)
−0.695194 + 0.718822i \(0.744682\pi\)
\(258\) 1.36506 2.98905i 0.0849846 0.186090i
\(259\) −2.76700 + 16.9235i −0.171933 + 1.05158i
\(260\) 3.50103 11.9234i 0.217125 0.739458i
\(261\) 3.56909 + 1.83999i 0.220921 + 0.113893i
\(262\) −1.64203 + 17.1962i −0.101445 + 1.06238i
\(263\) −13.6982 3.32314i −0.844666 0.204914i −0.210001 0.977701i \(-0.567347\pi\)
−0.634665 + 0.772787i \(0.718862\pi\)
\(264\) 5.52766 + 1.06537i 0.340204 + 0.0655689i
\(265\) −27.4752 23.8074i −1.68779 1.46248i
\(266\) −8.23343 + 4.54436i −0.504824 + 0.278633i
\(267\) −2.26215 + 1.03309i −0.138442 + 0.0632241i
\(268\) −3.71650 + 7.20900i −0.227021 + 0.440360i
\(269\) 4.44415 + 4.66089i 0.270965 + 0.284180i 0.845131 0.534559i \(-0.179522\pi\)
−0.574167 + 0.818739i \(0.694674\pi\)
\(270\) 1.01119 2.52583i 0.0615391 0.153717i
\(271\) −0.0372617 0.390222i −0.00226349 0.0237043i 0.994270 0.106901i \(-0.0340929\pi\)
−0.996533 + 0.0831972i \(0.973487\pi\)
\(272\) 0.196243 1.36490i 0.0118990 0.0827594i
\(273\) 10.5783 + 3.89096i 0.640227 + 0.235492i
\(274\) −1.70327 + 1.47589i −0.102898 + 0.0891617i
\(275\) −4.53246 + 2.61681i −0.273317 + 0.157800i
\(276\) 4.95013 0.835482i 0.297963 0.0502901i
\(277\) −2.52253 + 4.36915i −0.151564 + 0.262517i −0.931803 0.362965i \(-0.881764\pi\)
0.780238 + 0.625482i \(0.215098\pi\)
\(278\) −18.0399 6.24367i −1.08196 0.374470i
\(279\) −2.16137 + 3.36316i −0.129398 + 0.201347i
\(280\) −19.7706 9.49343i −1.18152 0.567341i
\(281\) −1.88341 0.860124i −0.112355 0.0513107i 0.358445 0.933551i \(-0.383307\pi\)
−0.470799 + 0.882240i \(0.656034\pi\)
\(282\) 1.97342 1.55191i 0.117515 0.0924150i
\(283\) −15.3377 + 14.6245i −0.911732 + 0.869335i −0.991845 0.127451i \(-0.959320\pi\)
0.0801128 + 0.996786i \(0.474472\pi\)
\(284\) 0.747876 + 15.6998i 0.0443783 + 0.931614i
\(285\) 8.26411 + 5.88484i 0.489523 + 0.348588i
\(286\) −7.55237 + 2.21758i −0.446581 + 0.131128i
\(287\) −0.575291 20.2991i −0.0339584 1.19822i
\(288\) 3.37764 3.89800i 0.199029 0.229692i
\(289\) −10.2097 9.73497i −0.600573 0.572645i
\(290\) 10.8755 + 1.03848i 0.638631 + 0.0609819i
\(291\) −9.30380 + 0.443195i −0.545398 + 0.0259805i
\(292\) 14.1108 3.42324i 0.825772 0.200330i
\(293\) −3.06202 21.2968i −0.178885 1.24417i −0.859349 0.511390i \(-0.829131\pi\)
0.680464 0.732782i \(-0.261778\pi\)
\(294\) 3.36337 5.94945i 0.196156 0.346979i
\(295\) −3.75631 0.540076i −0.218701 0.0314444i
\(296\) −19.2582 0.917382i −1.11936 0.0533218i
\(297\) 1.85824 0.358147i 0.107826 0.0207818i
\(298\) 12.8732 + 7.43236i 0.745726 + 0.430545i
\(299\) −16.3483 + 12.2536i −0.945444 + 0.708643i
\(300\) 2.89489i 0.167137i
\(301\) −8.84642 1.01706i −0.509899 0.0586226i
\(302\) 14.3078 + 9.19506i 0.823321 + 0.529116i
\(303\) −2.88234 + 1.15391i −0.165586 + 0.0662906i
\(304\) −1.71207 2.40427i −0.0981940 0.137894i
\(305\) 7.87622 + 3.15316i 0.450991 + 0.180550i
\(306\) −0.391506 1.61381i −0.0223809 0.0922554i
\(307\) 18.4098 + 28.6462i 1.05070 + 1.63493i 0.723999 + 0.689801i \(0.242302\pi\)
0.326705 + 0.945126i \(0.394062\pi\)
\(308\) −0.645805 5.20118i −0.0367981 0.296365i
\(309\) −3.84330 13.0891i −0.218637 0.744611i
\(310\) −2.05847 + 10.6803i −0.116913 + 0.606602i
\(311\) 9.75206 3.37522i 0.552988 0.191391i −0.0362610 0.999342i \(-0.511545\pi\)
0.589249 + 0.807951i \(0.299424\pi\)
\(312\) −2.98763 + 12.3152i −0.169141 + 0.697210i
\(313\) −4.34832 + 6.10636i −0.245781 + 0.345152i −0.918976 0.394314i \(-0.870982\pi\)
0.673194 + 0.739466i \(0.264922\pi\)
\(314\) 10.5286 6.76632i 0.594163 0.381845i
\(315\) −7.35637 0.492630i −0.414484 0.0277566i
\(316\) 8.22267 1.18224i 0.462561 0.0665063i
\(317\) −4.29357 + 0.409986i −0.241151 + 0.0230271i −0.214932 0.976629i \(-0.568953\pi\)
−0.0262193 + 0.999656i \(0.508347\pi\)
\(318\) 10.0122 + 7.87365i 0.561454 + 0.441532i
\(319\) 3.48208 + 6.75430i 0.194959 + 0.378168i
\(320\) 6.06756 17.5311i 0.339187 0.980016i
\(321\) 17.5050 0.977036
\(322\) 5.73314 + 10.9818i 0.319495 + 0.611994i
\(323\) 6.19228 0.344548
\(324\) 0.342366 0.989201i 0.0190203 0.0549556i
\(325\) −5.39860 10.4718i −0.299460 0.580872i
\(326\) 3.02101 + 2.37575i 0.167318 + 0.131581i
\(327\) 19.0936 1.82322i 1.05588 0.100824i
\(328\) 22.5995 3.24931i 1.24785 0.179413i
\(329\) −5.65135 3.78770i −0.311569 0.208823i
\(330\) 4.33145 2.78366i 0.238439 0.153235i
\(331\) −3.66397 + 5.14533i −0.201390 + 0.282813i −0.902903 0.429844i \(-0.858569\pi\)
0.701513 + 0.712656i \(0.252508\pi\)
\(332\) −1.79468 + 7.39778i −0.0984960 + 0.406006i
\(333\) −6.12495 + 2.11986i −0.335645 + 0.116168i
\(334\) 1.29740 6.73157i 0.0709907 0.368335i
\(335\) 6.08309 + 20.7171i 0.332355 + 1.13190i
\(336\) 1.97560 + 0.835422i 0.107778 + 0.0455760i
\(337\) 7.28234 + 11.3315i 0.396694 + 0.617268i 0.980941 0.194308i \(-0.0622462\pi\)
−0.584246 + 0.811576i \(0.698610\pi\)
\(338\) −1.18508 4.88497i −0.0644600 0.265708i
\(339\) −3.46329 1.38649i −0.188100 0.0753040i
\(340\) 2.87793 + 4.04149i 0.156078 + 0.219181i
\(341\) −7.02366 + 2.81185i −0.380352 + 0.152270i
\(342\) −2.99022 1.92170i −0.161693 0.103914i
\(343\) −18.1489 3.69030i −0.979947 0.199257i
\(344\) 10.0117i 0.539795i
\(345\) 8.00253 10.7036i 0.430841 0.576262i
\(346\) −1.02184 0.589959i −0.0549344 0.0317164i
\(347\) −5.78134 + 1.11426i −0.310358 + 0.0598167i −0.342052 0.939681i \(-0.611122\pi\)
0.0316938 + 0.999498i \(0.489910\pi\)
\(348\) 4.19852 + 0.200000i 0.225064 + 0.0107211i
\(349\) −33.2178 4.77600i −1.77811 0.255654i −0.826494 0.562945i \(-0.809668\pi\)
−0.951615 + 0.307292i \(0.900577\pi\)
\(350\) −6.79463 + 2.20601i −0.363188 + 0.117916i
\(351\) 0.606276 + 4.21675i 0.0323606 + 0.225073i
\(352\) 9.48569 2.30120i 0.505589 0.122655i
\(353\) 16.4184 0.782106i 0.873865 0.0416273i 0.394144 0.919049i \(-0.371041\pi\)
0.479721 + 0.877421i \(0.340738\pi\)
\(354\) 1.32357 + 0.126385i 0.0703468 + 0.00671730i
\(355\) 30.2831 + 28.8749i 1.60726 + 1.53252i
\(356\) −1.70474 + 1.96737i −0.0903509 + 0.104270i
\(357\) −3.83188 + 2.35955i −0.202805 + 0.124880i
\(358\) −11.6312 + 3.41524i −0.614730 + 0.180501i
\(359\) 16.1642 + 11.5105i 0.853116 + 0.607501i 0.920726 0.390211i \(-0.127598\pi\)
−0.0676095 + 0.997712i \(0.521537\pi\)
\(360\) −0.394427 8.28003i −0.0207881 0.436396i
\(361\) −4.15836 + 3.96498i −0.218861 + 0.208683i
\(362\) −7.02370 + 5.52350i −0.369157 + 0.290309i
\(363\) −6.74825 3.08182i −0.354191 0.161754i
\(364\) 11.7644 0.895024i 0.616620 0.0469120i
\(365\) 20.8984 32.5185i 1.09387 1.70210i
\(366\) −2.80894 0.972183i −0.146826 0.0508168i
\(367\) 9.51035 16.4724i 0.496436 0.859853i −0.503555 0.863963i \(-0.667975\pi\)
0.999992 + 0.00411006i \(0.00130828\pi\)
\(368\) −3.21860 + 2.18125i −0.167781 + 0.113706i
\(369\) 6.64712 3.83772i 0.346035 0.199784i
\(370\) −13.3270 + 11.5479i −0.692837 + 0.600347i
\(371\) 11.9156 32.3946i 0.618625 1.68184i
\(372\) −0.595557 + 4.14219i −0.0308782 + 0.214762i
\(373\) −1.46353 15.3268i −0.0757789 0.793592i −0.950861 0.309618i \(-0.899799\pi\)
0.875082 0.483974i \(-0.160807\pi\)
\(374\) 1.16800 2.91752i 0.0603957 0.150861i
\(375\) −4.29692 4.50648i −0.221892 0.232713i
\(376\) 3.50499 6.79873i 0.180756 0.350618i
\(377\) −15.5605 + 7.10622i −0.801404 + 0.365989i
\(378\) 2.58266 + 0.0497657i 0.132838 + 0.00255967i
\(379\) −26.3111 22.7987i −1.35151 1.17109i −0.968977 0.247151i \(-0.920506\pi\)
−0.382535 0.923941i \(-0.624949\pi\)
\(380\) 10.4279 + 2.00981i 0.534940 + 0.103101i
\(381\) −3.24137 0.786348i −0.166060 0.0402858i
\(382\) 0.959791 10.0514i 0.0491072 0.514273i
\(383\) 7.23720 + 3.73104i 0.369804 + 0.190647i 0.633104 0.774067i \(-0.281781\pi\)
−0.263300 + 0.964714i \(0.584811\pi\)
\(384\) 1.07508 3.66139i 0.0548625 0.186845i
\(385\) −10.7993 8.83467i −0.550386 0.450256i
\(386\) 6.22305 13.6266i 0.316745 0.693574i
\(387\) −1.25089 3.12457i −0.0635862 0.158831i
\(388\) −8.66615 + 4.46771i −0.439957 + 0.226814i
\(389\) 4.86578 + 25.2461i 0.246705 + 1.28003i 0.868045 + 0.496485i \(0.165376\pi\)
−0.621341 + 0.783541i \(0.713412\pi\)
\(390\) 5.79528 + 10.0377i 0.293456 + 0.508280i
\(391\) 0.189192 8.15491i 0.00956785 0.412411i
\(392\) 1.79131 20.7455i 0.0904749 1.04780i
\(393\) 11.5865 + 13.3716i 0.584463 + 0.674506i
\(394\) 0.336360 7.06107i 0.0169456 0.355732i
\(395\) 13.6707 17.3837i 0.687846 0.874668i
\(396\) 1.61364 1.14907i 0.0810884 0.0577428i
\(397\) −14.6616 18.6438i −0.735847 0.935705i 0.263736 0.964595i \(-0.415045\pi\)
−0.999583 + 0.0288898i \(0.990803\pi\)
\(398\) −0.0128769 0.00378099i −0.000645460 0.000189524i
\(399\) −2.45081 + 9.31524i −0.122694 + 0.466345i
\(400\) −0.931398 2.03948i −0.0465699 0.101974i
\(401\) 25.6258 26.8756i 1.27969 1.34210i 0.368769 0.929521i \(-0.379779\pi\)
0.910921 0.412580i \(-0.135372\pi\)
\(402\) −2.47422 7.14878i −0.123403 0.356549i
\(403\) −5.57031 16.0943i −0.277477 0.801716i
\(404\) −2.24272 + 2.35210i −0.111580 + 0.117021i
\(405\) −1.15763 2.53485i −0.0575229 0.125958i
\(406\) 2.72999 + 10.0068i 0.135487 + 0.496629i
\(407\) −11.7689 3.45565i −0.583361 0.171290i
\(408\) −3.12759 3.97706i −0.154839 0.196894i
\(409\) −12.4020 + 8.83144i −0.613240 + 0.436686i −0.844014 0.536321i \(-0.819814\pi\)
0.230774 + 0.973007i \(0.425874\pi\)
\(410\) 12.9088 16.4149i 0.637523 0.810676i
\(411\) −0.109837 + 2.30576i −0.00541786 + 0.113735i
\(412\) −9.35121 10.7919i −0.460701 0.531677i
\(413\) −0.781830 3.51718i −0.0384714 0.173069i
\(414\) −2.62214 + 3.87926i −0.128871 + 0.190655i
\(415\) 10.1326 + 17.5503i 0.497392 + 0.861509i
\(416\) 4.15837 + 21.5757i 0.203881 + 1.05784i
\(417\) −17.3790 + 8.95950i −0.851054 + 0.438749i
\(418\) −2.50005 6.24481i −0.122281 0.305444i
\(419\) 0.954517 2.09010i 0.0466312 0.102108i −0.884883 0.465814i \(-0.845761\pi\)
0.931514 + 0.363706i \(0.118489\pi\)
\(420\) −7.21878 + 2.72981i −0.352241 + 0.133201i
\(421\) −0.806932 + 2.74816i −0.0393275 + 0.133937i −0.976817 0.214077i \(-0.931326\pi\)
0.937489 + 0.348014i \(0.113144\pi\)
\(422\) 22.7217 + 11.7138i 1.10607 + 0.570220i
\(423\) 0.244426 2.55975i 0.0118844 0.124459i
\(424\) 37.7136 + 9.14922i 1.83153 + 0.444326i
\(425\) 4.61883 + 0.890207i 0.224046 + 0.0431814i
\(426\) −11.0793 9.60025i −0.536793 0.465134i
\(427\) −0.155183 + 8.05342i −0.00750982 + 0.389732i
\(428\) 16.6679 7.61198i 0.805674 0.367939i
\(429\) −3.69423 + 7.16580i −0.178359 + 0.345968i
\(430\) −6.31906 6.62724i −0.304732 0.319594i
\(431\) −5.14530 + 12.8523i −0.247840 + 0.619076i −0.999165 0.0408573i \(-0.986991\pi\)
0.751325 + 0.659933i \(0.229415\pi\)
\(432\) 0.0770642 + 0.807052i 0.00370775 + 0.0388293i
\(433\) −3.69800 + 25.7202i −0.177715 + 1.23603i 0.684320 + 0.729182i \(0.260099\pi\)
−0.862034 + 0.506850i \(0.830810\pi\)
\(434\) −10.1760 + 1.75865i −0.488464 + 0.0844179i
\(435\) 8.45668 7.32775i 0.405467 0.351339i
\(436\) 17.3877 10.0388i 0.832720 0.480771i
\(437\) −11.7524 12.9124i −0.562194 0.617684i
\(438\) −6.77152 + 11.7286i −0.323556 + 0.560415i
\(439\) −26.8764 9.30202i −1.28274 0.443961i −0.401167 0.916005i \(-0.631395\pi\)
−0.881575 + 0.472044i \(0.843516\pi\)
\(440\) 8.48117 13.1970i 0.404324 0.629140i
\(441\) −2.03294 6.69830i −0.0968066 0.318966i
\(442\) 6.43512 + 2.93882i 0.306087 + 0.139785i
\(443\) 13.2342 10.4075i 0.628776 0.494475i −0.252175 0.967682i \(-0.581146\pi\)
0.880952 + 0.473207i \(0.156904\pi\)
\(444\) −4.91022 + 4.68189i −0.233029 + 0.222193i
\(445\) 0.329749 + 6.92229i 0.0156316 + 0.328148i
\(446\) −7.17835 5.11168i −0.339905 0.242045i
\(447\) 14.6083 4.28939i 0.690950 0.202881i
\(448\) 17.6062 0.498971i 0.831813 0.0235741i
\(449\) −3.85400 + 4.44775i −0.181881 + 0.209902i −0.839367 0.543564i \(-0.817074\pi\)
0.657486 + 0.753467i \(0.271620\pi\)
\(450\) −1.95415 1.86328i −0.0921194 0.0878357i
\(451\) 14.4595 + 1.38072i 0.680874 + 0.0650155i
\(452\) −3.90058 + 0.185807i −0.183468 + 0.00873965i
\(453\) 16.9289 4.10691i 0.795390 0.192960i
\(454\) −1.86484 12.9703i −0.0875213 0.608724i
\(455\) 21.0221 23.3367i 0.985530 1.09404i
\(456\) −10.7195 1.54123i −0.501986 0.0721746i
\(457\) −13.8825 0.661303i −0.649394 0.0309345i −0.279699 0.960088i \(-0.590235\pi\)
−0.369695 + 0.929153i \(0.620538\pi\)
\(458\) −17.7043 + 3.41223i −0.827270 + 0.159443i
\(459\) −1.47300 0.850437i −0.0687537 0.0396950i
\(460\) 2.96542 13.6716i 0.138263 0.637441i
\(461\) 9.74110i 0.453688i 0.973931 + 0.226844i \(0.0728408\pi\)
−0.973931 + 0.226844i \(0.927159\pi\)
\(462\) 3.92664 + 2.91176i 0.182684 + 0.135467i
\(463\) −17.3902 11.1760i −0.808189 0.519392i 0.0700897 0.997541i \(-0.477671\pi\)
−0.878279 + 0.478149i \(0.841308\pi\)
\(464\) −3.02224 + 1.20992i −0.140304 + 0.0561692i
\(465\) 6.46215 + 9.07482i 0.299675 + 0.420835i
\(466\) −19.3128 7.73168i −0.894648 0.358163i
\(467\) −2.46583 10.1643i −0.114105 0.470347i −0.999979 0.00642198i \(-0.997956\pi\)
0.885874 0.463925i \(-0.153559\pi\)
\(468\) 2.41091 + 3.75145i 0.111444 + 0.173411i
\(469\) −16.3551 + 12.3594i −0.755209 + 0.570702i
\(470\) −1.97101 6.71265i −0.0909161 0.309632i
\(471\) 2.42596 12.5871i 0.111782 0.579982i
\(472\) 3.82815 1.32494i 0.176205 0.0609851i
\(473\) 1.50162 6.18977i 0.0690446 0.284606i
\(474\) −4.49441 + 6.31152i −0.206435 + 0.289898i
\(475\) 8.47004 5.44337i 0.388632 0.249759i
\(476\) −2.62260 + 3.91298i −0.120207 + 0.179351i
\(477\) 12.9132 1.85664i 0.591256 0.0850097i
\(478\) −10.8915 + 1.04001i −0.498164 + 0.0475689i
\(479\) 14.9925 + 11.7902i 0.685023 + 0.538708i 0.898901 0.438152i \(-0.144367\pi\)
−0.213878 + 0.976860i \(0.568609\pi\)
\(480\) −6.58613 12.7753i −0.300614 0.583111i
\(481\) 9.03085 26.0929i 0.411771 1.18974i
\(482\) 17.3917 0.792169
\(483\) 12.1928 + 3.51219i 0.554792 + 0.159810i
\(484\) −7.76565 −0.352984
\(485\) −8.48939 + 24.5285i −0.385483 + 1.11378i
\(486\) 0.447382 + 0.867800i 0.0202937 + 0.0393642i
\(487\) 20.9346 + 16.4631i 0.948636 + 0.746016i 0.967254 0.253811i \(-0.0816841\pi\)
−0.0186177 + 0.999827i \(0.505927\pi\)
\(488\) −9.01528 + 0.860855i −0.408102 + 0.0389691i
\(489\) 3.89636 0.560212i 0.176200 0.0253337i
\(490\) −11.9081 14.8631i −0.537954 0.671445i
\(491\) −32.7902 + 21.0730i −1.47980 + 0.951011i −0.482633 + 0.875823i \(0.660319\pi\)
−0.997169 + 0.0751881i \(0.976044\pi\)
\(492\) 4.66043 6.54466i 0.210108 0.295056i
\(493\) 1.61019 6.63728i 0.0725192 0.298928i
\(494\) 14.3097 4.95262i 0.643822 0.222829i
\(495\) 0.998038 5.17832i 0.0448585 0.232748i
\(496\) −0.913125 3.10982i −0.0410005 0.139635i
\(497\) −15.4728 + 36.5898i −0.694049 + 1.64128i
\(498\) −3.83861 5.97300i −0.172012 0.267656i
\(499\) 6.96439 + 28.7076i 0.311769 + 1.28513i 0.884945 + 0.465696i \(0.154196\pi\)
−0.573176 + 0.819432i \(0.694289\pi\)
\(500\) −6.05105 2.42247i −0.270611 0.108336i
\(501\) −4.07294 5.71965i −0.181966 0.255535i
\(502\) 7.06906 2.83002i 0.315508 0.126310i
\(503\) −11.7457 7.54851i −0.523715 0.336571i 0.251925 0.967747i \(-0.418936\pi\)
−0.775640 + 0.631175i \(0.782573\pi\)
\(504\) 7.22067 3.13088i 0.321634 0.139461i
\(505\) 8.65188i 0.385004i
\(506\) −8.30048 + 3.10163i −0.369001 + 0.137884i
\(507\) −4.45874 2.57426i −0.198020 0.114327i
\(508\) −3.42830 + 0.660750i −0.152106 + 0.0293161i
\(509\) 4.97773 + 0.237119i 0.220634 + 0.0105101i 0.157608 0.987502i \(-0.449622\pi\)
0.0630262 + 0.998012i \(0.479925\pi\)
\(510\) −4.58050 0.658577i −0.202828 0.0291623i
\(511\) 35.8963 + 7.63851i 1.58796 + 0.337908i
\(512\) 1.28152 + 8.91316i 0.0566356 + 0.393910i
\(513\) −3.53802 + 0.858315i −0.156207 + 0.0378955i
\(514\) −12.7872 + 0.609132i −0.564021 + 0.0268677i
\(515\) −37.8427 3.61354i −1.66755 0.159231i
\(516\) −2.54977 2.43120i −0.112247 0.107028i
\(517\) 3.18669 3.67764i 0.140150 0.161742i
\(518\) −14.7307 7.95708i −0.647228 0.349614i
\(519\) −1.15956 + 0.340479i −0.0508992 + 0.0149454i
\(520\) 28.7658 + 20.4840i 1.26146 + 0.898284i
\(521\) −0.293955 6.17088i −0.0128784 0.270351i −0.996118 0.0880313i \(-0.971942\pi\)
0.983239 0.182320i \(-0.0583606\pi\)
\(522\) −2.83735 + 2.70541i −0.124188 + 0.118413i
\(523\) −24.1455 + 18.9882i −1.05581 + 0.830297i −0.985913 0.167257i \(-0.946509\pi\)
−0.0698954 + 0.997554i \(0.522267\pi\)
\(524\) 16.8470 + 7.69376i 0.735964 + 0.336103i
\(525\) −3.16723 + 6.59592i −0.138229 + 0.287870i
\(526\) 7.44026 11.5773i 0.324411 0.504793i
\(527\) 6.42576 + 2.22398i 0.279911 + 0.0968780i
\(528\) −0.767124 + 1.32870i −0.0333848 + 0.0578241i
\(529\) −17.3640 + 15.0828i −0.754958 + 0.655774i
\(530\) 30.7392 17.7473i 1.33523 0.770893i
\(531\) 1.02919 0.891800i 0.0446631 0.0387008i
\(532\) 1.71708 + 9.93548i 0.0744449 + 0.430758i
\(533\) −4.65344 + 32.3654i −0.201563 + 1.40190i
\(534\) −0.230799 2.41704i −0.00998766 0.104596i
\(535\) 18.1300 45.2865i 0.783828 1.95791i
\(536\) −15.9052 16.6809i −0.686999 0.720504i
\(537\) −5.68940 + 11.0359i −0.245516 + 0.476234i
\(538\) −5.71945 + 2.61198i −0.246583 + 0.112611i
\(539\) 4.21903 12.5573i 0.181726 0.540880i
\(540\) −2.20453 1.91024i −0.0948679 0.0822035i
\(541\) 18.0751 + 3.48369i 0.777109 + 0.149775i 0.562359 0.826894i \(-0.309894\pi\)
0.214750 + 0.976669i \(0.431106\pi\)
\(542\) 0.371932 + 0.0902297i 0.0159758 + 0.00387570i
\(543\) −0.869952 + 9.11055i −0.0373332 + 0.390971i
\(544\) −7.79754 4.01991i −0.334317 0.172352i
\(545\) 15.0585 51.2846i 0.645036 2.19679i
\(546\) −6.96788 + 8.51741i −0.298198 + 0.364512i
\(547\) −11.8513 + 25.9508i −0.506726 + 1.10958i 0.467498 + 0.883994i \(0.345156\pi\)
−0.974224 + 0.225582i \(0.927572\pi\)
\(548\) 0.898064 + 2.24326i 0.0383634 + 0.0958271i
\(549\) −2.70603 + 1.39506i −0.115491 + 0.0595396i
\(550\) −0.967030 5.01743i −0.0412343 0.213944i
\(551\) −7.30945 12.6603i −0.311393 0.539348i
\(552\) −2.35723 + 14.0699i −0.100330 + 0.598855i
\(553\) 20.0286 + 6.30251i 0.851702 + 0.268010i
\(554\) −3.22562 3.72257i −0.137044 0.158157i
\(555\) −0.859405 + 18.0411i −0.0364797 + 0.765803i
\(556\) −12.6519 + 16.0882i −0.536560 + 0.682292i
\(557\) −34.7800 + 24.7667i −1.47367 + 1.04940i −0.489539 + 0.871982i \(0.662835\pi\)
−0.984136 + 0.177417i \(0.943226\pi\)
\(558\) −2.41279 3.06811i −0.102141 0.129883i
\(559\) 13.7573 + 4.03950i 0.581870 + 0.170853i
\(560\) 4.20741 4.24573i 0.177796 0.179415i
\(561\) −1.33714 2.92793i −0.0564541 0.123617i
\(562\) 1.39501 1.46304i 0.0588448 0.0617146i
\(563\) −2.91349 8.41797i −0.122789 0.354775i 0.866808 0.498642i \(-0.166168\pi\)
−0.989597 + 0.143866i \(0.954046\pi\)
\(564\) −0.880356 2.54362i −0.0370697 0.107106i
\(565\) −7.17387 + 7.52374i −0.301807 + 0.316526i
\(566\) −8.59532 18.8211i −0.361288 0.791111i
\(567\) 1.86233 1.87929i 0.0782105 0.0789228i
\(568\) −42.8564 12.5838i −1.79821 0.528003i
\(569\) −7.55675 9.60919i −0.316796 0.402838i 0.601411 0.798940i \(-0.294605\pi\)
−0.918207 + 0.396101i \(0.870363\pi\)
\(570\) −8.06853 + 5.74557i −0.337953 + 0.240656i
\(571\) 13.5935 17.2855i 0.568870 0.723377i −0.413463 0.910521i \(-0.635681\pi\)
0.982332 + 0.187144i \(0.0599233\pi\)
\(572\) −0.401548 + 8.42953i −0.0167896 + 0.352456i
\(573\) −6.77247 7.81585i −0.282924 0.326512i
\(574\) 18.9124 + 5.95129i 0.789390 + 0.248402i
\(575\) −6.90985 11.3209i −0.288160 0.472115i
\(576\) 3.32859 + 5.76529i 0.138691 + 0.240220i
\(577\) −5.73374 29.7494i −0.238699 1.23849i −0.881401 0.472369i \(-0.843399\pi\)
0.642702 0.766116i \(-0.277813\pi\)
\(578\) 12.2421 6.31123i 0.509203 0.262513i
\(579\) −5.70258 14.2444i −0.236991 0.591975i
\(580\) 4.86582 10.6547i 0.202042 0.442411i
\(581\) −12.1828 + 14.8921i −0.505430 + 0.617829i
\(582\) 2.56205 8.72555i 0.106200 0.361686i
\(583\) 21.9443 + 11.3131i 0.908840 + 0.468540i
\(584\) −3.92225 + 41.0757i −0.162304 + 1.69972i
\(585\) 11.5369 + 2.79882i 0.476991 + 0.115717i
\(586\) 20.6270 + 3.97552i 0.852092 + 0.164227i
\(587\) 15.0808 + 13.0676i 0.622450 + 0.539356i 0.907980 0.419014i \(-0.137624\pi\)
−0.285530 + 0.958370i \(0.592170\pi\)
\(588\) −4.84844 5.49395i −0.199946 0.226567i
\(589\) 13.2393 6.04618i 0.545516 0.249129i
\(590\) 1.69779 3.29324i 0.0698967 0.135581i
\(591\) −4.99647 5.24015i −0.205527 0.215551i
\(592\) 1.95295 4.87824i 0.0802658 0.200494i
\(593\) 0.313208 + 3.28006i 0.0128619 + 0.134696i 0.999622 0.0274903i \(-0.00875153\pi\)
−0.986760 + 0.162186i \(0.948145\pi\)
\(594\) −0.262949 + 1.82885i −0.0107889 + 0.0750386i
\(595\) 2.13559 + 12.3571i 0.0875507 + 0.506591i
\(596\) 12.0445 10.4366i 0.493362 0.427500i
\(597\) −0.0119042 + 0.00687291i −0.000487208 + 0.000281290i
\(598\) −6.08515 18.9964i −0.248840 0.776821i
\(599\) 10.2584 17.7680i 0.419146 0.725983i −0.576707 0.816951i \(-0.695663\pi\)
0.995854 + 0.0909679i \(0.0289961\pi\)
\(600\) −7.77411 2.69065i −0.317377 0.109845i
\(601\) 21.7196 33.7963i 0.885960 1.37858i −0.0392920 0.999228i \(-0.512510\pi\)
0.925252 0.379353i \(-0.123853\pi\)
\(602\) 3.76329 7.83725i 0.153380 0.319422i
\(603\) −7.04802 3.21872i −0.287018 0.131077i
\(604\) 14.3335 11.2720i 0.583221 0.458650i
\(605\) −14.9620 + 14.2663i −0.608293 + 0.580006i
\(606\) −0.144233 3.02782i −0.00585907 0.122997i
\(607\) 4.90342 + 3.49171i 0.199024 + 0.141724i 0.675224 0.737613i \(-0.264047\pi\)
−0.476200 + 0.879337i \(0.657986\pi\)
\(608\) −18.0171 + 5.29029i −0.730689 + 0.214550i
\(609\) 9.34738 + 5.04919i 0.378775 + 0.204603i
\(610\) −5.42432 + 6.25999i −0.219624 + 0.253460i
\(611\) 7.92808 + 7.55941i 0.320736 + 0.305821i
\(612\) −1.77237 0.169240i −0.0716436 0.00684114i
\(613\) −1.68608 + 0.0803178i −0.0681001 + 0.00324401i −0.0816043 0.996665i \(-0.526004\pi\)
0.0135042 + 0.999909i \(0.495701\pi\)
\(614\) −32.3088 + 7.83804i −1.30388 + 0.316317i
\(615\) −3.04396 21.1712i −0.122744 0.853706i
\(616\) 14.5678 + 3.09993i 0.586953 + 0.124900i
\(617\) −24.8981 3.57980i −1.00236 0.144118i −0.378456 0.925619i \(-0.623545\pi\)
−0.623903 + 0.781502i \(0.714454\pi\)
\(618\) 13.3037 + 0.633734i 0.535154 + 0.0254925i
\(619\) 10.8585 2.09281i 0.436441 0.0841172i 0.0337021 0.999432i \(-0.489270\pi\)
0.402739 + 0.915315i \(0.368058\pi\)
\(620\) 10.0993 + 5.83081i 0.405596 + 0.234171i
\(621\) 1.02226 + 4.68561i 0.0410218 + 0.188027i
\(622\) 10.0754i 0.403987i
\(623\) −6.03664 + 2.61749i −0.241853 + 0.104867i
\(624\) −2.90550 1.86725i −0.116313 0.0747498i
\(625\) −28.9460 + 11.5882i −1.15784 + 0.463530i
\(626\) −4.24541 5.96184i −0.169681 0.238283i
\(627\) −6.39619 2.56065i −0.255439 0.102262i
\(628\) −3.16348 13.0401i −0.126237 0.520355i
\(629\) 5.96006 + 9.27404i 0.237643 + 0.369780i
\(630\) 2.80361 6.62994i 0.111698 0.264143i
\(631\) −10.7168 36.4980i −0.426628 1.45296i −0.840094 0.542441i \(-0.817500\pi\)
0.413466 0.910520i \(-0.364318\pi\)
\(632\) −4.46767 + 23.1805i −0.177714 + 0.922070i
\(633\) 24.7430 8.56364i 0.983447 0.340374i
\(634\) 0.992787 4.09232i 0.0394286 0.162527i
\(635\) −5.39142 + 7.57119i −0.213952 + 0.300453i
\(636\) 11.4883 7.38310i 0.455542 0.292759i
\(637\) 27.7840 + 10.8318i 1.10084 + 0.429172i
\(638\) −7.34368 + 1.05586i −0.290739 + 0.0418020i
\(639\) −14.9474 + 1.42730i −0.591308 + 0.0564631i
\(640\) −8.35877 6.57341i −0.330409 0.259837i
\(641\) −16.6489 32.2944i −0.657592 1.27555i −0.947885 0.318613i \(-0.896783\pi\)
0.290293 0.956938i \(-0.406247\pi\)
\(642\) −5.58984 + 16.1508i −0.220613 + 0.637421i
\(643\) 8.66540 0.341730 0.170865 0.985294i \(-0.445344\pi\)
0.170865 + 0.985294i \(0.445344\pi\)
\(644\) 13.1370 1.95775i 0.517669 0.0771461i
\(645\) −9.37898 −0.369297
\(646\) −1.97736 + 5.71322i −0.0777984 + 0.224784i
\(647\) 4.05306 + 7.86184i 0.159342 + 0.309081i 0.954969 0.296707i \(-0.0958884\pi\)
−0.795626 + 0.605788i \(0.792858\pi\)
\(648\) 2.33825 + 1.83882i 0.0918550 + 0.0722356i
\(649\) 2.56549 0.244974i 0.100704 0.00961609i
\(650\) 11.3856 1.63700i 0.446580 0.0642085i
\(651\) −5.88882 + 8.78626i −0.230801 + 0.344361i
\(652\) 3.46642 2.22773i 0.135756 0.0872448i
\(653\) −22.0222 + 30.9258i −0.861795 + 1.21022i 0.114424 + 0.993432i \(0.463498\pi\)
−0.976218 + 0.216789i \(0.930442\pi\)
\(654\) −4.41495 + 18.1987i −0.172638 + 0.711625i
\(655\) 46.5932 16.1261i 1.82055 0.630097i
\(656\) −1.17765 + 6.11020i −0.0459793 + 0.238563i
\(657\) 3.90800 + 13.3094i 0.152466 + 0.519250i
\(658\) 5.29930 4.00462i 0.206588 0.156116i
\(659\) −2.93657 4.56940i −0.114393 0.177999i 0.779336 0.626606i \(-0.215556\pi\)
−0.893729 + 0.448608i \(0.851920\pi\)
\(660\) −1.30145 5.36467i −0.0506590 0.208819i
\(661\) 32.8117 + 13.1358i 1.27623 + 0.510924i 0.908062 0.418836i \(-0.137562\pi\)
0.368165 + 0.929760i \(0.379986\pi\)
\(662\) −3.57726 5.02356i −0.139034 0.195246i
\(663\) 6.72686 2.69303i 0.261250 0.104589i
\(664\) −18.1984 11.6954i −0.706234 0.453869i
\(665\) 21.5608 + 15.9882i 0.836090 + 0.619995i
\(666\) 6.32803i 0.245206i
\(667\) −16.8963 + 9.23935i −0.654228 + 0.357749i
\(668\) −6.36533 3.67502i −0.246282 0.142191i
\(669\) −8.86287 + 1.70818i −0.342658 + 0.0660420i
\(670\) −21.0568 1.00306i −0.813497 0.0387516i
\(671\) −5.70284 0.819945i −0.220156 0.0316536i
\(672\) 9.13342 10.1391i 0.352329 0.391123i
\(673\) −0.133608 0.929266i −0.00515022 0.0358206i 0.987084 0.160202i \(-0.0512145\pi\)
−0.992234 + 0.124381i \(0.960305\pi\)
\(674\) −12.7803 + 3.10048i −0.492280 + 0.119426i
\(675\) −2.76241 + 0.131590i −0.106325 + 0.00506489i
\(676\) −5.36492 0.512288i −0.206343 0.0197034i
\(677\) 30.3147 + 28.9050i 1.16509 + 1.11091i 0.992030 + 0.126000i \(0.0402139\pi\)
0.173060 + 0.984911i \(0.444635\pi\)
\(678\) 2.38515 2.75261i 0.0916013 0.105714i
\(679\) −24.6336 + 0.698132i −0.945349 + 0.0267918i
\(680\) −13.5281 + 3.97222i −0.518780 + 0.152328i
\(681\) −10.9326 7.78510i −0.418940 0.298326i
\(682\) −0.351466 7.37818i −0.0134583 0.282525i
\(683\) 11.1870 10.6668i 0.428058 0.408152i −0.445184 0.895439i \(-0.646862\pi\)
0.873242 + 0.487287i \(0.162013\pi\)
\(684\) −2.99559 + 2.35576i −0.114539 + 0.0900747i
\(685\) 5.85138 + 2.67223i 0.223570 + 0.102101i
\(686\) 9.20024 15.5664i 0.351267 0.594328i
\(687\) −9.98413 + 15.5356i −0.380918 + 0.592721i
\(688\) 2.57854 + 0.892443i 0.0983061 + 0.0340241i
\(689\) −27.7887 + 48.1314i −1.05867 + 1.83366i
\(690\) 7.32010 + 10.8014i 0.278672 + 0.411201i
\(691\) −26.4413 + 15.2659i −1.00587 + 0.580742i −0.909981 0.414650i \(-0.863904\pi\)
−0.0958930 + 0.995392i \(0.530571\pi\)
\(692\) −0.956056 + 0.828427i −0.0363438 + 0.0314921i
\(693\) 4.93379 0.852674i 0.187419 0.0323904i
\(694\) 0.818082 5.68989i 0.0310540 0.215985i
\(695\) 5.17928 + 54.2398i 0.196461 + 2.05743i
\(696\) −4.43939 + 11.0891i −0.168275 + 0.420330i
\(697\) −9.00894 9.44831i −0.341238 0.357880i
\(698\) 15.0139 29.1229i 0.568284 1.10232i
\(699\) −19.3817 + 8.85134i −0.733084 + 0.334788i
\(700\) −0.147559 + 7.65774i −0.00557719 + 0.289436i
\(701\) 22.1658 + 19.2068i 0.837191 + 0.725430i 0.963830 0.266518i \(-0.0858733\pi\)
−0.126638 + 0.991949i \(0.540419\pi\)
\(702\) −4.08412 0.787150i −0.154145 0.0297091i
\(703\) 22.9314 + 5.56310i 0.864874 + 0.209816i
\(704\) −1.19755 + 12.5413i −0.0451343 + 0.472667i
\(705\) −6.36906 3.28348i −0.239873 0.123663i
\(706\) −4.52126 + 15.3980i −0.170160 + 0.579511i
\(707\) −7.68335 + 2.90548i −0.288962 + 0.109272i
\(708\) 0.592179 1.29669i 0.0222554 0.0487326i
\(709\) −4.21903 10.5386i −0.158449 0.395787i 0.827806 0.561014i \(-0.189589\pi\)
−0.986256 + 0.165227i \(0.947164\pi\)
\(710\) −36.3112 + 18.7197i −1.36274 + 0.702539i
\(711\) 1.50191 + 7.79263i 0.0563259 + 0.292246i
\(712\) −3.69883 6.40657i −0.138620 0.240096i
\(713\) −7.55801 17.6202i −0.283050 0.659881i
\(714\) −0.953376 4.28890i −0.0356792 0.160508i
\(715\) 14.7122 + 16.9788i 0.550206 + 0.634971i
\(716\) −0.618415 + 12.9821i −0.0231113 + 0.485165i
\(717\) −6.92722 + 8.80868i −0.258702 + 0.328966i
\(718\) −15.7817 + 11.2381i −0.588968 + 0.419402i
\(719\) 32.2144 + 40.9639i 1.20139 + 1.52770i 0.786210 + 0.617959i \(0.212040\pi\)
0.415184 + 0.909737i \(0.363717\pi\)
\(720\) 2.16771 + 0.636496i 0.0807856 + 0.0237208i
\(721\) −9.49934 34.8199i −0.353774 1.29676i
\(722\) −2.33036 5.10278i −0.0867271 0.189906i
\(723\) 12.2926 12.8921i 0.457165 0.479461i
\(724\) 3.13333 + 9.05315i 0.116449 + 0.336458i
\(725\) −3.63207 10.4942i −0.134892 0.389744i
\(726\) 4.99830 5.24207i 0.185504 0.194552i
\(727\) 15.2152 + 33.3166i 0.564300 + 1.23564i 0.949777 + 0.312927i \(0.101310\pi\)
−0.385477 + 0.922717i \(0.625963\pi\)
\(728\) −8.53079 + 32.4246i −0.316172 + 1.20174i
\(729\) 0.959493 + 0.281733i 0.0355368 + 0.0104345i
\(730\) 23.3293 + 29.6656i 0.863457 + 1.09797i
\(731\) −4.66308 + 3.32057i −0.172470 + 0.122816i
\(732\) −1.96999 + 2.50505i −0.0728130 + 0.0925892i
\(733\) −0.751077 + 15.7670i −0.0277417 + 0.582369i 0.941612 + 0.336700i \(0.109311\pi\)
−0.969354 + 0.245669i \(0.920992\pi\)
\(734\) 12.1611 + 14.0347i 0.448875 + 0.518030i
\(735\) −19.4344 1.67810i −0.716848 0.0618978i
\(736\) 6.41657 + 23.8892i 0.236518 + 0.880567i
\(737\) −7.33152 12.6986i −0.270060 0.467758i
\(738\) 1.41821 + 7.35837i 0.0522050 + 0.270865i
\(739\) 19.9954 10.3084i 0.735543 0.379199i −0.0493897 0.998780i \(-0.515728\pi\)
0.784933 + 0.619581i \(0.212697\pi\)
\(740\) 7.02679 + 17.5521i 0.258310 + 0.645227i
\(741\) 6.44290 14.1080i 0.236686 0.518269i
\(742\) 26.0834 + 21.3382i 0.957553 + 0.783350i
\(743\) −7.79684 + 26.5536i −0.286038 + 0.974157i 0.683650 + 0.729810i \(0.260392\pi\)
−0.969688 + 0.244347i \(0.921427\pi\)
\(744\) −10.5701 5.44928i −0.387520 0.199780i
\(745\) 4.03296 42.2351i 0.147756 1.54737i
\(746\) 14.6084 + 3.54396i 0.534852 + 0.129754i
\(747\) −7.14080 1.37628i −0.261268 0.0503553i
\(748\) −2.54639 2.20646i −0.0931052 0.0806761i
\(749\) 46.3054 + 0.892267i 1.69196 + 0.0326027i
\(750\) 5.52996 2.52545i 0.201926 0.0922164i
\(751\) −11.2771 + 21.8745i −0.411507 + 0.798213i −0.999947 0.0103284i \(-0.996712\pi\)
0.588439 + 0.808541i \(0.299743\pi\)
\(752\) 1.43860 + 1.50876i 0.0524603 + 0.0550188i
\(753\) 2.89862 7.24041i 0.105632 0.263855i
\(754\) −1.58758 16.6259i −0.0578161 0.605478i
\(755\) 6.90849 48.0496i 0.251426 1.74870i
\(756\) 0.956068 2.59924i 0.0347719 0.0945335i
\(757\) −24.8448 + 21.5281i −0.902999 + 0.782453i −0.976651 0.214831i \(-0.931080\pi\)
0.0736522 + 0.997284i \(0.476535\pi\)
\(758\) 29.4368 16.9953i 1.06919 0.617299i
\(759\) −3.56766 + 8.34521i −0.129498 + 0.302912i
\(760\) −15.0894 + 26.1356i −0.547351 + 0.948040i
\(761\) −11.4967 3.97904i −0.416754 0.144240i 0.110640 0.993861i \(-0.464710\pi\)
−0.527395 + 0.849620i \(0.676831\pi\)
\(762\) 1.76057 2.73950i 0.0637788 0.0992417i
\(763\) 50.6005 3.84965i 1.83186 0.139367i
\(764\) −9.84728 4.49710i −0.356262 0.162699i
\(765\) −3.72572 + 2.92994i −0.134704 + 0.105932i
\(766\) −5.75343 + 5.48588i −0.207880 + 0.198213i
\(767\) 0.276046 + 5.79491i 0.00996743 + 0.209242i
\(768\) 13.8804 + 9.88418i 0.500865 + 0.356665i
\(769\) −22.8502 + 6.70943i −0.824001 + 0.241948i −0.666438 0.745561i \(-0.732182\pi\)
−0.157563 + 0.987509i \(0.550364\pi\)
\(770\) 11.5997 7.14271i 0.418025 0.257406i
\(771\) −8.58657 + 9.90943i −0.309238 + 0.356880i
\(772\) −11.6239 11.0834i −0.418355 0.398901i
\(773\) −3.74875