Properties

Label 570.2.bf.a.29.17
Level $570$
Weight $2$
Character 570.29
Analytic conductor $4.551$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.bf (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(40\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 29.17
Character \(\chi\) \(=\) 570.29
Dual form 570.2.bf.a.59.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.984808 + 0.173648i) q^{2} +(1.43202 - 0.974336i) q^{3} +(0.939693 - 0.342020i) q^{4} +(-2.18236 + 0.487123i) q^{5} +(-1.24107 + 1.20820i) q^{6} +(1.28021 + 0.739129i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(1.10134 - 2.79053i) q^{9} +O(q^{10})\) \(q+(-0.984808 + 0.173648i) q^{2} +(1.43202 - 0.974336i) q^{3} +(0.939693 - 0.342020i) q^{4} +(-2.18236 + 0.487123i) q^{5} +(-1.24107 + 1.20820i) q^{6} +(1.28021 + 0.739129i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(1.10134 - 2.79053i) q^{9} +(2.06462 - 0.858686i) q^{10} +(2.81878 - 1.62742i) q^{11} +(1.01241 - 1.40535i) q^{12} +(-3.29541 - 2.76518i) q^{13} +(-1.38911 - 0.505594i) q^{14} +(-2.65056 + 2.82392i) q^{15} +(0.766044 - 0.642788i) q^{16} +(-0.748773 - 4.24650i) q^{17} +(-0.600038 + 2.93938i) q^{18} +(1.45278 + 4.10968i) q^{19} +(-1.88415 + 1.20416i) q^{20} +(2.55344 - 0.188909i) q^{21} +(-2.49335 + 2.09217i) q^{22} +(7.23936 - 2.63491i) q^{23} +(-0.752994 + 1.55981i) q^{24} +(4.52542 - 2.12616i) q^{25} +(3.72551 + 2.15093i) q^{26} +(-1.14177 - 5.06916i) q^{27} +(1.45580 + 0.256697i) q^{28} +(0.791685 - 4.48987i) q^{29} +(2.11992 - 3.24129i) q^{30} +(2.19798 + 1.26901i) q^{31} +(-0.642788 + 0.766044i) q^{32} +(2.45088 - 5.07693i) q^{33} +(1.47480 + 4.05197i) q^{34} +(-3.15393 - 0.989429i) q^{35} +(0.0805041 - 2.99892i) q^{36} -4.11020 q^{37} +(-2.14434 - 3.79497i) q^{38} +(-7.41329 - 0.748943i) q^{39} +(1.64642 - 1.51304i) q^{40} +(-1.02830 + 0.862846i) q^{41} +(-2.48184 + 0.629439i) q^{42} +(2.81406 - 7.73157i) q^{43} +(2.09217 - 2.49335i) q^{44} +(-1.04419 + 6.62644i) q^{45} +(-6.67183 + 3.85198i) q^{46} +(-2.06260 + 11.6976i) q^{47} +(0.470697 - 1.66687i) q^{48} +(-2.40738 - 4.16970i) q^{49} +(-4.08747 + 2.87969i) q^{50} +(-5.20978 - 5.35151i) q^{51} +(-4.04242 - 1.47132i) q^{52} +(0.503212 + 1.38256i) q^{53} +(2.00468 + 4.79388i) q^{54} +(-5.35884 + 4.92472i) q^{55} -1.47826 q^{56} +(6.08460 + 4.46963i) q^{57} +4.55913i q^{58} +(-2.10421 - 11.9336i) q^{59} +(-1.52487 + 3.56016i) q^{60} +(8.53541 - 3.10664i) q^{61} +(-2.38495 - 0.868051i) q^{62} +(3.47251 - 2.75843i) q^{63} +(0.500000 - 0.866025i) q^{64} +(8.53877 + 4.42935i) q^{65} +(-1.53204 + 5.42539i) q^{66} +(-2.31594 + 13.1344i) q^{67} +(-2.15601 - 3.73431i) q^{68} +(7.79959 - 10.8268i) q^{69} +(3.27783 + 0.426723i) q^{70} +(-2.08000 - 0.757058i) q^{71} +(0.441476 + 2.96734i) q^{72} +(-7.62144 - 9.08287i) q^{73} +(4.04776 - 0.713729i) q^{74} +(4.40888 - 7.45398i) q^{75} +(2.77076 + 3.36495i) q^{76} +4.81150 q^{77} +(7.43072 - 0.549740i) q^{78} +(4.55951 + 5.43381i) q^{79} +(-1.35867 + 1.77595i) q^{80} +(-6.57410 - 6.14664i) q^{81} +(0.862846 - 1.02830i) q^{82} +(1.29300 - 2.23955i) q^{83} +(2.33484 - 1.05084i) q^{84} +(3.70267 + 8.90267i) q^{85} +(-1.42874 + 8.10277i) q^{86} +(-3.24093 - 7.20093i) q^{87} +(-1.62742 + 2.81878i) q^{88} +(3.44561 + 2.89121i) q^{89} +(-0.122339 - 6.70709i) q^{90} +(-2.17499 - 5.97574i) q^{91} +(5.90158 - 4.95202i) q^{92} +(4.38398 - 0.324336i) q^{93} -11.8780i q^{94} +(-5.17241 - 8.26113i) q^{95} +(-0.174098 + 1.72328i) q^{96} +(1.63353 + 9.26423i) q^{97} +(3.09486 + 3.68831i) q^{98} +(-1.43693 - 9.65822i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + O(q^{10}) \) \( 240q - 30q^{15} + 48q^{19} + 12q^{25} - 48q^{39} + 36q^{45} - 72q^{46} + 216q^{49} - 180q^{51} + 36q^{54} + 60q^{55} + 6q^{60} - 72q^{61} + 120q^{64} - 156q^{66} + 48q^{79} - 120q^{81} - 108q^{84} - 48q^{85} - 36q^{90} - 24q^{91} - 216q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{17}{18}\right)\) \(-1\)

Coefficient data

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.984808 + 0.173648i −0.696364 + 0.122788i
\(3\) 1.43202 0.974336i 0.826775 0.562533i
\(4\) 0.939693 0.342020i 0.469846 0.171010i
\(5\) −2.18236 + 0.487123i −0.975983 + 0.217848i
\(6\) −1.24107 + 1.20820i −0.506664 + 0.493246i
\(7\) 1.28021 + 0.739129i 0.483874 + 0.279365i 0.722029 0.691862i \(-0.243210\pi\)
−0.238156 + 0.971227i \(0.576543\pi\)
\(8\) −0.866025 + 0.500000i −0.306186 + 0.176777i
\(9\) 1.10134 2.79053i 0.367113 0.930176i
\(10\) 2.06462 0.858686i 0.652890 0.271540i
\(11\) 2.81878 1.62742i 0.849893 0.490686i −0.0107218 0.999943i \(-0.503413\pi\)
0.860615 + 0.509257i \(0.170080\pi\)
\(12\) 1.01241 1.40535i 0.292258 0.405691i
\(13\) −3.29541 2.76518i −0.913982 0.766922i 0.0588900 0.998264i \(-0.481244\pi\)
−0.972872 + 0.231342i \(0.925688\pi\)
\(14\) −1.38911 0.505594i −0.371255 0.135126i
\(15\) −2.65056 + 2.82392i −0.684371 + 0.729134i
\(16\) 0.766044 0.642788i 0.191511 0.160697i
\(17\) −0.748773 4.24650i −0.181604 1.02993i −0.930241 0.366949i \(-0.880403\pi\)
0.748637 0.662980i \(-0.230709\pi\)
\(18\) −0.600038 + 2.93938i −0.141430 + 0.692818i
\(19\) 1.45278 + 4.10968i 0.333290 + 0.942824i
\(20\) −1.88415 + 1.20416i −0.421308 + 0.269258i
\(21\) 2.55344 0.188909i 0.557206 0.0412233i
\(22\) −2.49335 + 2.09217i −0.531585 + 0.446053i
\(23\) 7.23936 2.63491i 1.50951 0.549417i 0.551008 0.834500i \(-0.314243\pi\)
0.958503 + 0.285083i \(0.0920210\pi\)
\(24\) −0.752994 + 1.55981i −0.153704 + 0.318394i
\(25\) 4.52542 2.12616i 0.905084 0.425232i
\(26\) 3.72551 + 2.15093i 0.730633 + 0.421831i
\(27\) −1.14177 5.06916i −0.219735 0.975560i
\(28\) 1.45580 + 0.256697i 0.275120 + 0.0485112i
\(29\) 0.791685 4.48987i 0.147012 0.833748i −0.818717 0.574197i \(-0.805314\pi\)
0.965729 0.259551i \(-0.0835745\pi\)
\(30\) 2.11992 3.24129i 0.387043 0.591775i
\(31\) 2.19798 + 1.26901i 0.394769 + 0.227920i 0.684225 0.729271i \(-0.260141\pi\)
−0.289455 + 0.957192i \(0.593474\pi\)
\(32\) −0.642788 + 0.766044i −0.113630 + 0.135419i
\(33\) 2.45088 5.07693i 0.426643 0.883780i
\(34\) 1.47480 + 4.05197i 0.252925 + 0.694907i
\(35\) −3.15393 0.989429i −0.533111 0.167244i
\(36\) 0.0805041 2.99892i 0.0134173 0.499820i
\(37\) −4.11020 −0.675713 −0.337857 0.941198i \(-0.609702\pi\)
−0.337857 + 0.941198i \(0.609702\pi\)
\(38\) −2.14434 3.79497i −0.347858 0.615625i
\(39\) −7.41329 0.748943i −1.18708 0.119927i
\(40\) 1.64642 1.51304i 0.260322 0.239233i
\(41\) −1.02830 + 0.862846i −0.160593 + 0.134754i −0.719543 0.694448i \(-0.755649\pi\)
0.558950 + 0.829201i \(0.311204\pi\)
\(42\) −2.48184 + 0.629439i −0.382957 + 0.0971246i
\(43\) 2.81406 7.73157i 0.429140 1.17905i −0.517195 0.855867i \(-0.673024\pi\)
0.946335 0.323186i \(-0.104754\pi\)
\(44\) 2.09217 2.49335i 0.315407 0.375887i
\(45\) −1.04419 + 6.62644i −0.155659 + 0.987811i
\(46\) −6.67183 + 3.85198i −0.983708 + 0.567944i
\(47\) −2.06260 + 11.6976i −0.300861 + 1.70627i 0.341513 + 0.939877i \(0.389061\pi\)
−0.642374 + 0.766391i \(0.722051\pi\)
\(48\) 0.470697 1.66687i 0.0679393 0.240591i
\(49\) −2.40738 4.16970i −0.343911 0.595671i
\(50\) −4.08747 + 2.87969i −0.578055 + 0.407250i
\(51\) −5.20978 5.35151i −0.729515 0.749361i
\(52\) −4.04242 1.47132i −0.560583 0.204035i
\(53\) 0.503212 + 1.38256i 0.0691214 + 0.189910i 0.969443 0.245315i \(-0.0788913\pi\)
−0.900322 + 0.435224i \(0.856669\pi\)
\(54\) 2.00468 + 4.79388i 0.272802 + 0.652364i
\(55\) −5.35884 + 4.92472i −0.722586 + 0.664049i
\(56\) −1.47826 −0.197541
\(57\) 6.08460 + 4.46963i 0.805925 + 0.592017i
\(58\) 4.55913i 0.598643i
\(59\) −2.10421 11.9336i −0.273945 1.55362i −0.742293 0.670075i \(-0.766262\pi\)
0.468349 0.883544i \(-0.344849\pi\)
\(60\) −1.52487 + 3.56016i −0.196860 + 0.459615i
\(61\) 8.53541 3.10664i 1.09285 0.397764i 0.268173 0.963371i \(-0.413580\pi\)
0.824675 + 0.565607i \(0.191358\pi\)
\(62\) −2.38495 0.868051i −0.302889 0.110243i
\(63\) 3.47251 2.75843i 0.437495 0.347529i
\(64\) 0.500000 0.866025i 0.0625000 0.108253i
\(65\) 8.53877 + 4.42935i 1.05910 + 0.549394i
\(66\) −1.53204 + 5.42539i −0.188582 + 0.667819i
\(67\) −2.31594 + 13.1344i −0.282937 + 1.60462i 0.429625 + 0.903008i \(0.358646\pi\)
−0.712562 + 0.701609i \(0.752465\pi\)
\(68\) −2.15601 3.73431i −0.261454 0.452852i
\(69\) 7.79959 10.8268i 0.938961 1.30339i
\(70\) 3.27783 + 0.426723i 0.391775 + 0.0510032i
\(71\) −2.08000 0.757058i −0.246850 0.0898462i 0.215632 0.976475i \(-0.430819\pi\)
−0.462482 + 0.886629i \(0.653041\pi\)
\(72\) 0.441476 + 2.96734i 0.0520284 + 0.349704i
\(73\) −7.62144 9.08287i −0.892022 1.06307i −0.997640 0.0686633i \(-0.978127\pi\)
0.105618 0.994407i \(-0.466318\pi\)
\(74\) 4.04776 0.713729i 0.470542 0.0829693i
\(75\) 4.40888 7.45398i 0.509094 0.860711i
\(76\) 2.77076 + 3.36495i 0.317827 + 0.385987i
\(77\) 4.81150 0.548321
\(78\) 7.43072 0.549740i 0.841363 0.0622458i
\(79\) 4.55951 + 5.43381i 0.512985 + 0.611351i 0.958907 0.283720i \(-0.0915687\pi\)
−0.445922 + 0.895072i \(0.647124\pi\)
\(80\) −1.35867 + 1.77595i −0.151904 + 0.198558i
\(81\) −6.57410 6.14664i −0.730456 0.682960i
\(82\) 0.862846 1.02830i 0.0952854 0.113557i
\(83\) 1.29300 2.23955i 0.141926 0.245823i −0.786296 0.617850i \(-0.788004\pi\)
0.928222 + 0.372027i \(0.121337\pi\)
\(84\) 2.33484 1.05084i 0.254752 0.114657i
\(85\) 3.70267 + 8.90267i 0.401611 + 0.965630i
\(86\) −1.42874 + 8.10277i −0.154065 + 0.873744i
\(87\) −3.24093 7.20093i −0.347465 0.772021i
\(88\) −1.62742 + 2.81878i −0.173484 + 0.300483i
\(89\) 3.44561 + 2.89121i 0.365234 + 0.306467i 0.806873 0.590725i \(-0.201158\pi\)
−0.441639 + 0.897193i \(0.645603\pi\)
\(90\) −0.122339 6.70709i −0.0128957 0.706989i
\(91\) −2.17499 5.97574i −0.228001 0.626428i
\(92\) 5.90158 4.95202i 0.615282 0.516283i
\(93\) 4.38398 0.324336i 0.454598 0.0336321i
\(94\) 11.8780i 1.22513i
\(95\) −5.17241 8.26113i −0.530678 0.847574i
\(96\) −0.174098 + 1.72328i −0.0177688 + 0.175881i
\(97\) 1.63353 + 9.26423i 0.165860 + 0.940640i 0.948173 + 0.317754i \(0.102929\pi\)
−0.782313 + 0.622886i \(0.785960\pi\)
\(98\) 3.09486 + 3.68831i 0.312628 + 0.372576i
\(99\) −1.43693 9.65822i −0.144417 0.970688i
\(100\) 3.52532 3.54572i 0.352532 0.354572i
\(101\) −6.36950 + 7.59088i −0.633789 + 0.755321i −0.983376 0.181584i \(-0.941878\pi\)
0.349586 + 0.936904i \(0.386322\pi\)
\(102\) 6.05991 + 4.36554i 0.600020 + 0.432253i
\(103\) 8.07822 + 13.9919i 0.795971 + 1.37866i 0.922221 + 0.386663i \(0.126372\pi\)
−0.126250 + 0.991998i \(0.540294\pi\)
\(104\) 4.23650 + 0.747009i 0.415423 + 0.0732503i
\(105\) −5.48051 + 1.65611i −0.534843 + 0.161620i
\(106\) −0.735646 1.27418i −0.0714523 0.123759i
\(107\) 9.45606 + 5.45946i 0.914152 + 0.527786i 0.881765 0.471689i \(-0.156356\pi\)
0.0323873 + 0.999475i \(0.489689\pi\)
\(108\) −2.80667 4.37294i −0.270072 0.420786i
\(109\) −1.84788 + 5.07700i −0.176995 + 0.486289i −0.996188 0.0872281i \(-0.972199\pi\)
0.819194 + 0.573517i \(0.194421\pi\)
\(110\) 4.42226 5.78045i 0.421646 0.551144i
\(111\) −5.88588 + 4.00472i −0.558663 + 0.380111i
\(112\) 1.45580 0.256697i 0.137560 0.0242556i
\(113\) 12.3088i 1.15792i 0.815357 + 0.578959i \(0.196541\pi\)
−0.815357 + 0.578959i \(0.803459\pi\)
\(114\) −6.76831 3.34515i −0.633910 0.313302i
\(115\) −14.5154 + 9.27680i −1.35357 + 0.865066i
\(116\) −0.791685 4.48987i −0.0735061 0.416874i
\(117\) −11.3457 + 6.15054i −1.04891 + 0.568617i
\(118\) 4.14449 + 11.3869i 0.381531 + 1.04825i
\(119\) 2.18013 5.98986i 0.199852 0.549089i
\(120\) 0.883489 3.77087i 0.0806512 0.344232i
\(121\) −0.203002 + 0.351609i −0.0184547 + 0.0319645i
\(122\) −7.86628 + 4.54160i −0.712180 + 0.411177i
\(123\) −0.631840 + 2.23752i −0.0569711 + 0.201750i
\(124\) 2.49945 + 0.440721i 0.224457 + 0.0395779i
\(125\) −8.84041 + 6.84449i −0.790711 + 0.612190i
\(126\) −2.94076 + 3.31952i −0.261983 + 0.295726i
\(127\) −0.979491 0.821891i −0.0869158 0.0729310i 0.598295 0.801276i \(-0.295845\pi\)
−0.685210 + 0.728345i \(0.740290\pi\)
\(128\) −0.342020 + 0.939693i −0.0302306 + 0.0830579i
\(129\) −3.50336 13.8136i −0.308454 1.21622i
\(130\) −9.17819 2.87932i −0.804981 0.252533i
\(131\) −10.3496 + 1.82492i −0.904252 + 0.159444i −0.606392 0.795166i \(-0.707384\pi\)
−0.297860 + 0.954610i \(0.596273\pi\)
\(132\) 0.566661 5.60900i 0.0493215 0.488201i
\(133\) −1.17772 + 6.33504i −0.102122 + 0.549317i
\(134\) 13.3370i 1.15214i
\(135\) 4.96107 + 10.5066i 0.426981 + 0.904261i
\(136\) 2.77171 + 3.30319i 0.237672 + 0.283247i
\(137\) 6.87090 2.50080i 0.587021 0.213658i −0.0313977 0.999507i \(-0.509996\pi\)
0.618419 + 0.785849i \(0.287774\pi\)
\(138\) −5.80105 + 12.0167i −0.493818 + 1.02293i
\(139\) −0.409647 0.343735i −0.0347458 0.0291552i 0.625249 0.780425i \(-0.284997\pi\)
−0.659995 + 0.751270i \(0.729442\pi\)
\(140\) −3.30213 + 0.148948i −0.279081 + 0.0125884i
\(141\) 8.44370 + 18.7608i 0.711088 + 1.57994i
\(142\) 2.17986 + 0.384368i 0.182930 + 0.0322555i
\(143\) −13.7891 2.43140i −1.15311 0.203324i
\(144\) −0.950042 2.84560i −0.0791702 0.237133i
\(145\) 0.459374 + 10.1842i 0.0381490 + 0.845750i
\(146\) 9.08287 + 7.62144i 0.751704 + 0.630755i
\(147\) −7.51009 3.62548i −0.619421 0.299025i
\(148\) −3.86233 + 1.40577i −0.317481 + 0.115554i
\(149\) 2.54088 + 3.02810i 0.208157 + 0.248072i 0.860014 0.510270i \(-0.170454\pi\)
−0.651857 + 0.758342i \(0.726010\pi\)
\(150\) −3.04753 + 8.10633i −0.248830 + 0.661879i
\(151\) 4.79732i 0.390400i −0.980763 0.195200i \(-0.937464\pi\)
0.980763 0.195200i \(-0.0625356\pi\)
\(152\) −3.31298 2.83270i −0.268718 0.229762i
\(153\) −12.6746 2.58737i −1.02468 0.209177i
\(154\) −4.73840 + 0.835508i −0.381831 + 0.0673271i
\(155\) −5.41496 1.69874i −0.434940 0.136446i
\(156\) −7.22237 + 1.83172i −0.578252 + 0.146655i
\(157\) −1.75281 + 4.81581i −0.139890 + 0.384344i −0.989778 0.142620i \(-0.954447\pi\)
0.849888 + 0.526963i \(0.176670\pi\)
\(158\) −5.43381 4.55951i −0.432291 0.362735i
\(159\) 2.06769 + 1.48955i 0.163978 + 0.118129i
\(160\) 1.02964 1.98490i 0.0814001 0.156920i
\(161\) 11.2154 + 1.97758i 0.883901 + 0.155856i
\(162\) 7.54158 + 4.91168i 0.592522 + 0.385898i
\(163\) 5.20311 3.00402i 0.407539 0.235293i −0.282193 0.959358i \(-0.591062\pi\)
0.689732 + 0.724065i \(0.257728\pi\)
\(164\) −0.671175 + 1.16251i −0.0524100 + 0.0907767i
\(165\) −2.87562 + 12.2736i −0.223867 + 0.955497i
\(166\) −0.884467 + 2.43005i −0.0686480 + 0.188609i
\(167\) 4.24497 + 11.6630i 0.328486 + 0.902508i 0.988495 + 0.151251i \(0.0483300\pi\)
−0.660009 + 0.751257i \(0.729448\pi\)
\(168\) −2.11689 + 1.44032i −0.163322 + 0.111123i
\(169\) 0.956097 + 5.42229i 0.0735459 + 0.417099i
\(170\) −5.19235 8.12446i −0.398235 0.623118i
\(171\) 13.0682 + 0.472137i 0.999348 + 0.0361052i
\(172\) 8.22777i 0.627361i
\(173\) −4.05361 + 0.714761i −0.308190 + 0.0543423i −0.325604 0.945506i \(-0.605568\pi\)
0.0174140 + 0.999848i \(0.494457\pi\)
\(174\) 4.44212 + 6.52875i 0.336757 + 0.494943i
\(175\) 7.36500 + 0.622942i 0.556741 + 0.0470900i
\(176\) 1.11322 3.05855i 0.0839122 0.230547i
\(177\) −14.6406 15.0389i −1.10045 1.13039i
\(178\) −3.89531 2.24896i −0.291966 0.168567i
\(179\) −2.65771 4.60328i −0.198646 0.344066i 0.749443 0.662068i \(-0.230321\pi\)
−0.948090 + 0.318003i \(0.896988\pi\)
\(180\) 1.28515 + 6.58395i 0.0957897 + 0.490739i
\(181\) −25.3198 4.46457i −1.88201 0.331849i −0.889791 0.456369i \(-0.849150\pi\)
−0.992217 + 0.124520i \(0.960261\pi\)
\(182\) 3.17963 + 5.50727i 0.235690 + 0.408226i
\(183\) 9.19594 12.7651i 0.679784 0.943624i
\(184\) −4.95202 + 5.90158i −0.365067 + 0.435070i
\(185\) 8.96996 2.00217i 0.659484 0.147203i
\(186\) −4.26106 + 1.08068i −0.312436 + 0.0792392i
\(187\) −9.02147 10.7514i −0.659716 0.786218i
\(188\) 2.06260 + 11.6976i 0.150431 + 0.853134i
\(189\) 2.28505 7.33350i 0.166213 0.533434i
\(190\) 6.52835 + 7.23744i 0.473617 + 0.525059i
\(191\) 11.5816i 0.838015i 0.907983 + 0.419007i \(0.137622\pi\)
−0.907983 + 0.419007i \(0.862378\pi\)
\(192\) −0.127791 1.72733i −0.00922255 0.124659i
\(193\) −0.0914143 + 0.0767057i −0.00658015 + 0.00552140i −0.646072 0.763277i \(-0.723589\pi\)
0.639492 + 0.768798i \(0.279145\pi\)
\(194\) −3.21743 8.83982i −0.230998 0.634662i
\(195\) 16.5433 1.97672i 1.18469 0.141556i
\(196\) −3.68831 3.09486i −0.263451 0.221062i
\(197\) −10.0727 + 17.4464i −0.717649 + 1.24301i 0.244279 + 0.969705i \(0.421449\pi\)
−0.961929 + 0.273300i \(0.911885\pi\)
\(198\) 3.09224 + 9.26197i 0.219756 + 0.658219i
\(199\) −4.04530 + 22.9420i −0.286764 + 1.62632i 0.412153 + 0.911115i \(0.364777\pi\)
−0.698917 + 0.715203i \(0.746334\pi\)
\(200\) −2.85605 + 4.10402i −0.201953 + 0.290198i
\(201\) 9.48081 + 21.0651i 0.668724 + 1.48582i
\(202\) 4.95459 8.58161i 0.348604 0.603800i
\(203\) 4.33212 5.16281i 0.304055 0.362359i
\(204\) −6.72591 3.24692i −0.470908 0.227330i
\(205\) 1.82381 2.38395i 0.127381 0.166502i
\(206\) −10.3852 12.3766i −0.723568 0.862315i
\(207\) 0.620201 23.1036i 0.0431069 1.60581i
\(208\) −4.30185 −0.298280
\(209\) 10.7832 + 9.21998i 0.745891 + 0.637759i
\(210\) 5.10967 2.58263i 0.352601 0.178218i
\(211\) 24.9212 4.39428i 1.71565 0.302515i 0.772530 0.634978i \(-0.218991\pi\)
0.943116 + 0.332463i \(0.107880\pi\)
\(212\) 0.945728 + 1.12708i 0.0649529 + 0.0774078i
\(213\) −3.71622 + 0.942498i −0.254631 + 0.0645789i
\(214\) −10.2604 3.73449i −0.701388 0.255285i
\(215\) −2.37508 + 18.2439i −0.161979 + 1.24422i
\(216\) 3.52338 + 3.81913i 0.239736 + 0.259859i
\(217\) 1.87592 + 3.24919i 0.127346 + 0.220569i
\(218\) 0.938193 5.32075i 0.0635424 0.360367i
\(219\) −19.7638 5.58098i −1.33551 0.377128i
\(220\) −3.35131 + 6.46055i −0.225945 + 0.435570i
\(221\) −9.27482 + 16.0645i −0.623892 + 1.08061i
\(222\) 5.10104 4.96595i 0.342360 0.333293i
\(223\) −22.3261 8.12604i −1.49507 0.544160i −0.540289 0.841479i \(-0.681685\pi\)
−0.954778 + 0.297319i \(0.903907\pi\)
\(224\) −1.38911 + 0.505594i −0.0928137 + 0.0337814i
\(225\) −0.949081 14.9699i −0.0632721 0.997996i
\(226\) −2.13741 12.1218i −0.142178 0.806333i
\(227\) 12.6657i 0.840650i −0.907374 0.420325i \(-0.861916\pi\)
0.907374 0.420325i \(-0.138084\pi\)
\(228\) 7.24636 + 2.11902i 0.479902 + 0.140336i
\(229\) 14.4298 0.953547 0.476773 0.879026i \(-0.341806\pi\)
0.476773 + 0.879026i \(0.341806\pi\)
\(230\) 12.6840 11.6564i 0.836356 0.768602i
\(231\) 6.89014 4.68801i 0.453338 0.308449i
\(232\) 1.55931 + 4.28418i 0.102374 + 0.281270i
\(233\) −2.30660 0.839533i −0.151110 0.0549996i 0.265358 0.964150i \(-0.414510\pi\)
−0.416468 + 0.909150i \(0.636732\pi\)
\(234\) 10.1053 8.02725i 0.660603 0.524758i
\(235\) −1.19682 26.5331i −0.0780720 1.73083i
\(236\) −6.05883 10.4942i −0.394396 0.683115i
\(237\) 11.8236 + 3.33881i 0.768028 + 0.216879i
\(238\) −1.10688 + 6.27743i −0.0717484 + 0.406905i
\(239\) 26.6345 15.3774i 1.72284 0.994682i 0.809922 0.586537i \(-0.199509\pi\)
0.912917 0.408145i \(-0.133824\pi\)
\(240\) −0.215263 + 3.86700i −0.0138952 + 0.249614i
\(241\) 3.73432 4.45039i 0.240549 0.286675i −0.632240 0.774772i \(-0.717864\pi\)
0.872789 + 0.488097i \(0.162309\pi\)
\(242\) 0.138861 0.381518i 0.00892634 0.0245249i
\(243\) −15.4031 2.39671i −0.988110 0.153749i
\(244\) 6.95813 5.83857i 0.445449 0.373776i
\(245\) 7.28493 + 7.92711i 0.465417 + 0.506444i
\(246\) 0.233700 2.31324i 0.0149002 0.147487i
\(247\) 6.57649 17.5603i 0.418452 1.11733i
\(248\) −2.53801 −0.161164
\(249\) −0.330470 4.46689i −0.0209427 0.283078i
\(250\) 7.51758 8.27563i 0.475453 0.523397i
\(251\) −6.20880 17.0585i −0.391896 1.07672i −0.966135 0.258037i \(-0.916924\pi\)
0.574239 0.818688i \(-0.305298\pi\)
\(252\) 2.31965 3.77974i 0.146124 0.238101i
\(253\) 16.1180 19.2087i 1.01333 1.20764i
\(254\) 1.10733 + 0.639317i 0.0694801 + 0.0401143i
\(255\) 13.9765 + 9.14113i 0.875240 + 0.572440i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) 29.4280 + 5.18895i 1.83567 + 0.323678i 0.980777 0.195132i \(-0.0625134\pi\)
0.854890 + 0.518809i \(0.173624\pi\)
\(258\) 5.84884 + 12.9954i 0.364133 + 0.809056i
\(259\) −5.26192 3.03797i −0.326960 0.188770i
\(260\) 9.53874 + 1.24180i 0.591568 + 0.0770132i
\(261\) −11.6572 7.15409i −0.721562 0.442827i
\(262\) 9.87551 3.59439i 0.610111 0.222062i
\(263\) −6.37410 + 5.34851i −0.393044 + 0.329803i −0.817798 0.575506i \(-0.804805\pi\)
0.424754 + 0.905309i \(0.360361\pi\)
\(264\) 0.415941 + 5.62219i 0.0255994 + 0.346022i
\(265\) −1.77167 2.77213i −0.108833 0.170290i
\(266\) 0.0597642 6.44330i 0.00366438 0.395064i
\(267\) 7.75117 + 0.783078i 0.474364 + 0.0479236i
\(268\) 2.31594 + 13.1344i 0.141469 + 0.802308i
\(269\) −12.4453 + 10.4428i −0.758802 + 0.636711i −0.937815 0.347136i \(-0.887154\pi\)
0.179013 + 0.983847i \(0.442710\pi\)
\(270\) −6.71015 9.48546i −0.408367 0.577267i
\(271\) −10.5460 3.83843i −0.640624 0.233168i 0.00122479 0.999999i \(-0.499610\pi\)
−0.641849 + 0.766831i \(0.721832\pi\)
\(272\) −3.30319 2.77171i −0.200286 0.168060i
\(273\) −8.93700 6.43819i −0.540892 0.389657i
\(274\) −6.33226 + 3.65593i −0.382546 + 0.220863i
\(275\) 9.29599 13.3579i 0.560570 0.805514i
\(276\) 3.62624 12.8415i 0.218274 0.772967i
\(277\) 16.8897 9.75128i 1.01480 0.585898i 0.102210 0.994763i \(-0.467409\pi\)
0.912595 + 0.408865i \(0.134075\pi\)
\(278\) 0.463113 + 0.267378i 0.0277757 + 0.0160363i
\(279\) 5.96192 4.73592i 0.356931 0.283532i
\(280\) 3.22610 0.720094i 0.192796 0.0430338i
\(281\) 0.926183 0.337103i 0.0552515 0.0201099i −0.314247 0.949341i \(-0.601752\pi\)
0.369498 + 0.929232i \(0.379530\pi\)
\(282\) −11.5732 17.0095i −0.689174 1.01290i
\(283\) 9.06457 1.59833i 0.538833 0.0950107i 0.102393 0.994744i \(-0.467350\pi\)
0.436440 + 0.899733i \(0.356239\pi\)
\(284\) −2.21349 −0.131346
\(285\) −15.4561 6.79041i −0.915539 0.402229i
\(286\) 14.0019 0.827947
\(287\) −1.95419 + 0.344577i −0.115352 + 0.0203397i
\(288\) 1.42974 + 2.63739i 0.0842483 + 0.155410i
\(289\) −1.49736 + 0.544996i −0.0880802 + 0.0320586i
\(290\) −2.22086 9.94968i −0.130413 0.584265i
\(291\) 11.3657 + 11.6749i 0.666270 + 0.684395i
\(292\) −10.2683 5.92843i −0.600909 0.346935i
\(293\) −10.4808 + 6.05108i −0.612294 + 0.353508i −0.773863 0.633354i \(-0.781678\pi\)
0.161569 + 0.986861i \(0.448345\pi\)
\(294\) 8.02555 + 2.26629i 0.468060 + 0.132173i
\(295\) 10.4053 + 25.0184i 0.605818 + 1.45663i
\(296\) 3.55954 2.05510i 0.206894 0.119450i
\(297\) −11.4681 12.4307i −0.665444 0.721301i
\(298\) −3.02810 2.54088i −0.175413 0.147189i
\(299\) −31.1427 11.3350i −1.80103 0.655520i
\(300\) 1.59359 8.51237i 0.0920057 0.491462i
\(301\) 9.31722 7.81807i 0.537036 0.450626i
\(302\) 0.833045 + 4.72443i 0.0479364 + 0.271861i
\(303\) −1.72517 + 17.0763i −0.0991083 + 0.981007i
\(304\) 3.75454 + 2.21437i 0.215338 + 0.127003i
\(305\) −17.1141 + 10.9376i −0.979948 + 0.626286i
\(306\) 12.9314 + 0.347135i 0.739238 + 0.0198444i
\(307\) 5.37432 4.50959i 0.306729 0.257376i −0.476410 0.879223i \(-0.658062\pi\)
0.783138 + 0.621848i \(0.213618\pi\)
\(308\) 4.52133 1.64563i 0.257627 0.0937684i
\(309\) 25.2009 + 12.1657i 1.43363 + 0.692083i
\(310\) 5.62768 + 0.732638i 0.319631 + 0.0416111i
\(311\) 5.59973 + 3.23301i 0.317532 + 0.183327i 0.650292 0.759685i \(-0.274647\pi\)
−0.332760 + 0.943011i \(0.607980\pi\)
\(312\) 6.79457 3.05804i 0.384667 0.173128i
\(313\) 13.0662 + 2.30393i 0.738546 + 0.130226i 0.530251 0.847841i \(-0.322098\pi\)
0.208295 + 0.978066i \(0.433209\pi\)
\(314\) 0.889926 5.04702i 0.0502214 0.284820i
\(315\) −6.23458 + 7.71143i −0.351279 + 0.434490i
\(316\) 6.14301 + 3.54667i 0.345571 + 0.199516i
\(317\) −17.7824 + 21.1922i −0.998758 + 1.19027i −0.0170548 + 0.999855i \(0.505429\pi\)
−0.981703 + 0.190419i \(0.939015\pi\)
\(318\) −2.29493 1.10787i −0.128693 0.0621265i
\(319\) −5.07532 13.9443i −0.284164 0.780733i
\(320\) −0.669321 + 2.13354i −0.0374162 + 0.119269i
\(321\) 18.8606 1.39534i 1.05269 0.0778805i
\(322\) −11.3885 −0.634654
\(323\) 16.3640 9.24644i 0.910515 0.514486i
\(324\) −8.27991 3.52748i −0.459995 0.195971i
\(325\) −20.7923 5.50703i −1.15335 0.305475i
\(326\) −4.60242 + 3.86189i −0.254905 + 0.213890i
\(327\) 2.30051 + 9.07081i 0.127219 + 0.501617i
\(328\) 0.459111 1.26140i 0.0253502 0.0696490i
\(329\) −11.2866 + 13.4508i −0.622250 + 0.741568i
\(330\) 0.700646 12.5865i 0.0385693 0.692862i
\(331\) −19.1889 + 11.0787i −1.05472 + 0.608941i −0.923966 0.382475i \(-0.875072\pi\)
−0.130750 + 0.991415i \(0.541739\pi\)
\(332\) 0.449056 2.54672i 0.0246451 0.139770i
\(333\) −4.52673 + 11.4696i −0.248063 + 0.628532i
\(334\) −6.20574 10.7487i −0.339563 0.588140i
\(335\) −1.34382 29.7921i −0.0734209 1.62772i
\(336\) 1.83462 1.78603i 0.100087 0.0974361i
\(337\) −0.337706 0.122915i −0.0183960 0.00669561i 0.332806 0.942995i \(-0.392005\pi\)
−0.351202 + 0.936300i \(0.614227\pi\)
\(338\) −1.88314 5.17389i −0.102429 0.281423i
\(339\) 11.9929 + 17.6264i 0.651367 + 0.957337i
\(340\) 6.52426 + 7.09939i 0.353828 + 0.385018i
\(341\) 8.26082 0.447349
\(342\) −12.9516 + 1.80430i −0.700343 + 0.0975654i
\(343\) 17.4653i 0.943035i
\(344\) 1.42874 + 8.10277i 0.0770323 + 0.436872i
\(345\) −11.7476 + 27.4274i −0.632467 + 1.47664i
\(346\) 3.86791 1.40780i 0.207940 0.0756840i
\(347\) 9.09244 + 3.30938i 0.488108 + 0.177657i 0.574338 0.818619i \(-0.305260\pi\)
−0.0862298 + 0.996275i \(0.527482\pi\)
\(348\) −5.50834 5.65820i −0.295278 0.303311i
\(349\) 12.0168 20.8137i 0.643245 1.11413i −0.341459 0.939897i \(-0.610921\pi\)
0.984704 0.174236i \(-0.0557456\pi\)
\(350\) −7.36128 + 0.665440i −0.393477 + 0.0355693i
\(351\) −10.2545 + 19.8622i −0.547345 + 1.06016i
\(352\) −0.565197 + 3.20539i −0.0301251 + 0.170848i
\(353\) 6.31913 + 10.9451i 0.336333 + 0.582546i 0.983740 0.179598i \(-0.0574798\pi\)
−0.647407 + 0.762145i \(0.724146\pi\)
\(354\) 17.0296 + 12.2681i 0.905114 + 0.652041i
\(355\) 4.90810 + 0.638960i 0.260495 + 0.0339125i
\(356\) 4.22666 + 1.53838i 0.224013 + 0.0815339i
\(357\) −2.71415 10.7017i −0.143648 0.566397i
\(358\) 3.41668 + 4.07184i 0.180577 + 0.215204i
\(359\) 9.62079 1.69640i 0.507766 0.0895328i 0.0861044 0.996286i \(-0.472558\pi\)
0.421662 + 0.906753i \(0.361447\pi\)
\(360\) −2.40892 6.26076i −0.126961 0.329971i
\(361\) −14.7789 + 11.9409i −0.777836 + 0.628468i
\(362\) 25.7104 1.35131
\(363\) 0.0518837 + 0.701301i 0.00272319 + 0.0368088i
\(364\) −4.08765 4.87147i −0.214251 0.255334i
\(365\) 21.0572 + 16.1096i 1.10219 + 0.843213i
\(366\) −6.83960 + 14.1680i −0.357512 + 0.740575i
\(367\) 17.3910 20.7258i 0.907802 1.08188i −0.0885101 0.996075i \(-0.528211\pi\)
0.996312 0.0858013i \(-0.0273450\pi\)
\(368\) 3.85198 6.67183i 0.200799 0.347793i
\(369\) 1.27529 + 3.81979i 0.0663889 + 0.198850i
\(370\) −8.48601 + 3.52937i −0.441167 + 0.183483i
\(371\) −0.377676 + 2.14191i −0.0196080 + 0.111202i
\(372\) 4.00867 1.80419i 0.207840 0.0935427i
\(373\) 14.7375 25.5261i 0.763079 1.32169i −0.178178 0.983998i \(-0.557020\pi\)
0.941256 0.337693i \(-0.109647\pi\)
\(374\) 10.7514 + 9.02147i 0.555940 + 0.466489i
\(375\) −5.99078 + 18.4150i −0.309363 + 0.950944i
\(376\) −4.06253 11.1617i −0.209509 0.575621i
\(377\) −15.0242 + 12.6068i −0.773786 + 0.649284i
\(378\) −0.976887 + 7.61888i −0.0502456 + 0.391873i
\(379\) 9.76267i 0.501475i 0.968055 + 0.250737i \(0.0806730\pi\)
−0.968055 + 0.250737i \(0.919327\pi\)
\(380\) −7.68594 5.99385i −0.394281 0.307478i
\(381\) −2.20344 0.222607i −0.112886 0.0114045i
\(382\) −2.01112 11.4056i −0.102898 0.583563i
\(383\) −13.5937 16.2003i −0.694604 0.827797i 0.297300 0.954784i \(-0.403914\pi\)
−0.991904 + 0.126987i \(0.959469\pi\)
\(384\) 0.425798 + 1.67890i 0.0217289 + 0.0856759i
\(385\) −10.5004 + 2.34379i −0.535152 + 0.119451i
\(386\) 0.0767057 0.0914143i 0.00390422 0.00465287i
\(387\) −18.4759 16.3678i −0.939184 0.832022i
\(388\) 4.70357 + 8.14682i 0.238788 + 0.413592i
\(389\) −16.3233 2.87824i −0.827625 0.145933i −0.256238 0.966614i \(-0.582483\pi\)
−0.571387 + 0.820681i \(0.693594\pi\)
\(390\) −15.9487 + 4.81941i −0.807596 + 0.244040i
\(391\) −16.6098 28.7690i −0.839994 1.45491i
\(392\) 4.16970 + 2.40738i 0.210602 + 0.121591i
\(393\) −13.0428 + 12.6973i −0.657920 + 0.640496i
\(394\) 6.89012 18.9305i 0.347119 0.953703i
\(395\) −12.5974 9.63750i −0.633846 0.484915i
\(396\) −4.65358 8.58430i −0.233851 0.431377i
\(397\) −28.9935 + 5.11234i −1.45514 + 0.256581i −0.844598 0.535401i \(-0.820161\pi\)
−0.610545 + 0.791982i \(0.709049\pi\)
\(398\) 23.2959i 1.16772i
\(399\) 4.48593 + 10.2194i 0.224578 + 0.511609i
\(400\) 2.10001 4.53762i 0.105000 0.226881i
\(401\) 0.524009 + 2.97180i 0.0261678 + 0.148405i 0.995092 0.0989522i \(-0.0315491\pi\)
−0.968924 + 0.247357i \(0.920438\pi\)
\(402\) −12.9947 19.0988i −0.648116 0.952560i
\(403\) −3.73423 10.2597i −0.186015 0.511072i
\(404\) −3.38914 + 9.31159i −0.168616 + 0.463269i
\(405\) 17.3412 + 10.2118i 0.861694 + 0.507429i
\(406\) −3.36979 + 5.83664i −0.167240 + 0.289668i
\(407\) −11.5857 + 6.68903i −0.574284 + 0.331563i
\(408\) 7.18755 + 2.02965i 0.355837 + 0.100483i
\(409\) 2.11348 + 0.372663i 0.104505 + 0.0184270i 0.225656 0.974207i \(-0.427547\pi\)
−0.121151 + 0.992634i \(0.538659\pi\)
\(410\) −1.38214 + 2.66444i −0.0682588 + 0.131587i
\(411\) 7.40262 10.2758i 0.365144 0.506866i
\(412\) 12.3766 + 10.3852i 0.609749 + 0.511640i
\(413\) 6.12662 16.8328i 0.301471 0.828286i
\(414\) 3.40112 + 22.8603i 0.167156 + 1.12352i
\(415\) −1.73087 + 5.51736i −0.0849651 + 0.270837i
\(416\) 4.23650 0.747009i 0.207711 0.0366251i
\(417\) −0.921535 0.0930999i −0.0451278 0.00455912i
\(418\) −12.2204 7.20742i −0.597721 0.352526i
\(419\) 23.8617i 1.16572i 0.812573 + 0.582859i \(0.198066\pi\)
−0.812573 + 0.582859i \(0.801934\pi\)
\(420\) −4.58358 + 3.43068i −0.223656 + 0.167400i
\(421\) −5.91970 7.05483i −0.288509 0.343831i 0.602250 0.798307i \(-0.294271\pi\)
−0.890759 + 0.454476i \(0.849827\pi\)
\(422\) −23.7795 + 8.65504i −1.15757 + 0.421321i
\(423\) 30.3708 + 18.6388i 1.47668 + 0.906247i
\(424\) −1.12708 0.945728i −0.0547356 0.0459286i
\(425\) −12.4173 17.6252i −0.602326 0.854948i
\(426\) 3.49610 1.57349i 0.169387 0.0762361i
\(427\) 13.2233 + 2.33163i 0.639922 + 0.112835i
\(428\) 10.7530 + 1.89605i 0.519768 + 0.0916491i
\(429\) −22.1153 + 9.95345i −1.06773 + 0.480557i
\(430\) −0.829023 18.3792i −0.0399790 0.886322i
\(431\) −5.05850 4.24459i −0.243660 0.204455i 0.512777 0.858522i \(-0.328617\pi\)
−0.756436 + 0.654067i \(0.773061\pi\)
\(432\) −4.13304 3.14928i −0.198851 0.151520i
\(433\) −15.0200 + 5.46683i −0.721815 + 0.262719i −0.676696 0.736262i \(-0.736589\pi\)
−0.0451190 + 0.998982i \(0.514367\pi\)
\(434\) −2.41163 2.87407i −0.115762 0.137960i
\(435\) 10.5806 + 14.1363i 0.507303 + 0.677784i
\(436\) 5.40284i 0.258749i
\(437\) 21.3458 + 25.9235i 1.02111 + 1.24009i
\(438\) 20.4327 + 2.06425i 0.976310 + 0.0986337i
\(439\) 13.4451 2.37074i 0.641701 0.113149i 0.156677 0.987650i \(-0.449922\pi\)
0.485024 + 0.874501i \(0.338811\pi\)
\(440\) 2.17853 6.94435i 0.103858 0.331059i
\(441\) −14.2870 + 2.12560i −0.680333 + 0.101219i
\(442\) 6.34435 17.4310i 0.301770 0.829107i
\(443\) −8.77593 7.36388i −0.416957 0.349869i 0.410047 0.912064i \(-0.365512\pi\)
−0.827004 + 0.562196i \(0.809957\pi\)
\(444\) −4.16122 + 5.77629i −0.197483 + 0.274131i
\(445\) −8.92794 4.63123i −0.423225 0.219541i
\(446\) 23.3980 + 4.12570i 1.10793 + 0.195358i
\(447\) 6.58897 + 1.86062i 0.311648 + 0.0880044i
\(448\) 1.28021 0.739129i 0.0604842 0.0349206i
\(449\) 12.0850 20.9319i 0.570328 0.987836i −0.426204 0.904627i \(-0.640150\pi\)
0.996532 0.0832095i \(-0.0265171\pi\)
\(450\) 3.53417 + 14.5777i 0.166602 + 0.687200i
\(451\) −1.49433 + 4.10565i −0.0703654 + 0.193327i
\(452\) 4.20987 + 11.5665i 0.198016 + 0.544043i
\(453\) −4.67420 6.86983i −0.219613 0.322773i
\(454\) 2.19937 + 12.4733i 0.103222 + 0.585399i
\(455\) 7.65755 + 11.9818i 0.358991 + 0.561713i
\(456\) −7.50424 0.828512i −0.351418 0.0387986i
\(457\) 31.4742i 1.47230i 0.676818 + 0.736150i \(0.263358\pi\)
−0.676818 + 0.736150i \(0.736642\pi\)
\(458\) −14.2106 + 2.50570i −0.664016 + 0.117084i
\(459\) −20.6713 + 8.64420i −0.964852 + 0.403477i
\(460\) −10.4672 + 13.6819i −0.488034 + 0.637922i
\(461\) 11.7029 32.1534i 0.545058 1.49753i −0.295248 0.955421i \(-0.595402\pi\)
0.840305 0.542113i \(-0.182376\pi\)
\(462\) −5.97140 + 5.81325i −0.277815 + 0.270457i
\(463\) 15.9360 + 9.20064i 0.740608 + 0.427590i 0.822290 0.569068i \(-0.192696\pi\)
−0.0816824 + 0.996658i \(0.526029\pi\)
\(464\) −2.27957 3.94832i −0.105826 0.183296i
\(465\) −9.40945 + 2.84336i −0.436353 + 0.131858i
\(466\) 2.41734 + 0.426242i 0.111981 + 0.0197453i
\(467\) −15.9343 27.5990i −0.737351 1.27713i −0.953684 0.300810i \(-0.902743\pi\)
0.216333 0.976320i \(-0.430590\pi\)
\(468\) −8.55784 + 9.66006i −0.395586 + 0.446537i
\(469\) −12.6729 + 15.1029i −0.585179 + 0.697389i
\(470\) 5.78607 + 25.9222i 0.266891 + 1.19570i
\(471\) 2.18216 + 8.60414i 0.100549 + 0.396458i
\(472\) 7.78909 + 9.28267i 0.358522 + 0.427270i
\(473\) −4.65031 26.3732i −0.213822 1.21264i
\(474\) −12.2238 1.23493i −0.561457 0.0567224i
\(475\) 15.3123 + 15.5092i 0.702574 + 0.711610i
\(476\) 6.37427i 0.292164i
\(477\) 4.41229 + 0.118445i 0.202025 + 0.00542323i
\(478\) −23.5596 + 19.7688i −1.07759 + 0.904205i
\(479\) 8.97820 + 24.6674i 0.410224 + 1.12708i 0.957072 + 0.289850i \(0.0936055\pi\)
−0.546848 + 0.837232i \(0.684172\pi\)
\(480\) −0.459504 3.84563i −0.0209734 0.175528i
\(481\) 13.5448 + 11.3654i 0.617590 + 0.518220i
\(482\) −2.90479 + 5.03124i −0.132309 + 0.229167i
\(483\) 17.9875 8.09567i 0.818461 0.368366i
\(484\) −0.0705017 + 0.399835i −0.00320462 + 0.0181743i
\(485\) −8.07778 19.4222i −0.366793 0.881916i
\(486\) 15.5853 0.314424i 0.706963 0.0142626i
\(487\) 7.30221 12.6478i 0.330895 0.573126i −0.651793 0.758397i \(-0.725983\pi\)
0.982688 + 0.185271i \(0.0593162\pi\)
\(488\) −5.83857 + 6.95813i −0.264300 + 0.314980i
\(489\) 4.52402 9.37138i 0.204583 0.423788i
\(490\) −8.55078 6.54166i −0.386285 0.295522i
\(491\) 0.299707 + 0.357177i 0.0135256 + 0.0161192i 0.772765 0.634692i \(-0.218873\pi\)
−0.759239 + 0.650812i \(0.774429\pi\)
\(492\) 0.171541 + 2.31868i 0.00773366 + 0.104534i
\(493\) −19.6590 −0.885399
\(494\) −3.42727 + 18.4355i −0.154200 + 0.829451i
\(495\) 7.84066 + 20.3778i 0.352411 + 0.915913i
\(496\) 2.49945 0.440721i 0.112229 0.0197890i
\(497\) −2.10327 2.50658i −0.0943446 0.112436i
\(498\) 1.10112 + 4.34164i 0.0493422 + 0.194554i
\(499\) −7.85290 2.85822i −0.351544 0.127952i 0.160211 0.987083i \(-0.448782\pi\)
−0.511756 + 0.859131i \(0.671005\pi\)
\(500\) −5.96632 + 9.45532i −0.266822 + 0.422855i
\(501\) 17.4425 + 12.5655i 0.779274 + 0.561387i
\(502\) 9.07666 + 15.7212i 0.405111 + 0.701673i
\(503\) 1.95218 11.0714i 0.0870436 0.493649i −0.909853 0.414930i \(-0.863806\pi\)
0.996897 0.0787187i \(-0.0250829\pi\)
\(504\) −1.62807 + 4.12512i −0.0725198 + 0.183748i
\(505\) 10.2029 19.6688i 0.454022 0.875250i
\(506\) −12.5376 + 21.7158i −0.557364 + 0.965383i
\(507\) 6.65228 + 6.83325i 0.295438 + 0.303475i
\(508\) −1.20152 0.437319i −0.0533090 0.0194029i
\(509\) 2.39322 0.871062i 0.106078 0.0386091i −0.288436 0.957499i \(-0.593135\pi\)
0.394514 + 0.918890i \(0.370913\pi\)
\(510\) −15.3515 6.57527i −0.679775 0.291158i
\(511\) −3.04362 17.2612i −0.134642 0.763591i
\(512\) 1.00000i 0.0441942i
\(513\) 19.1739 12.0567i 0.846546 0.532315i
\(514\) −29.8820 −1.31804
\(515\) −24.4454 26.6003i −1.07719 1.17215i
\(516\) −8.01660 11.7823i −0.352911 0.518686i
\(517\) 13.2229 + 36.3296i 0.581542 + 1.59777i
\(518\) 5.70952 + 2.07809i 0.250862 + 0.0913062i
\(519\) −5.10842 + 4.97313i −0.224235 + 0.218296i
\(520\) −9.60947 + 0.433451i −0.421403 + 0.0190081i
\(521\) 5.34154 + 9.25182i 0.234017 + 0.405330i 0.958987 0.283451i \(-0.0914795\pi\)
−0.724969 + 0.688781i \(0.758146\pi\)
\(522\) 12.7224 + 5.02115i 0.556844 + 0.219770i
\(523\) −6.46521 + 36.6660i −0.282704 + 1.60329i 0.430670 + 0.902510i \(0.358277\pi\)
−0.713374 + 0.700784i \(0.752834\pi\)
\(524\) −9.10132 + 5.25465i −0.397593 + 0.229550i
\(525\) 11.1537 6.28391i 0.486789 0.274253i
\(526\) 5.34851 6.37410i 0.233206 0.277924i
\(527\) 3.74305 10.2839i 0.163050 0.447975i
\(528\) −1.38590 5.46455i −0.0603137 0.237814i
\(529\) 27.8466 23.3661i 1.21072 1.01592i
\(530\) 2.22613 + 2.42237i 0.0966968 + 0.105221i
\(531\) −35.6184 7.27106i −1.54571 0.315537i
\(532\) 1.06001 + 6.35579i 0.0459573 + 0.275559i
\(533\) 5.77459 0.250125
\(534\) −7.76939 + 0.574795i −0.336214 + 0.0248738i
\(535\) −23.2960 7.30826i −1.00717 0.315964i
\(536\) −4.56151 12.5327i −0.197027 0.541328i
\(537\) −8.29102 4.00248i −0.357784 0.172720i
\(538\) 10.4428 12.4453i 0.450222 0.536554i
\(539\) −13.5717 7.83563i −0.584575 0.337504i
\(540\) 8.25534 + 8.17615i 0.355253 + 0.351845i
\(541\) 1.13016 6.40946i 0.0485894 0.275564i −0.950827 0.309722i \(-0.899764\pi\)
0.999416 + 0.0341582i \(0.0108750\pi\)
\(542\) 11.0523 + 1.94882i 0.474738 + 0.0837091i
\(543\) −40.6084 + 18.2767i −1.74267 + 0.784327i
\(544\) 3.73431 + 2.15601i 0.160107 + 0.0924380i
\(545\) 1.55962 11.9800i 0.0668066 0.513167i
\(546\) 9.91921 + 4.78848i 0.424503 + 0.204928i
\(547\) −15.1317 + 5.50749i −0.646985 + 0.235483i −0.644607 0.764514i \(-0.722979\pi\)
−0.00237778 + 0.999997i \(0.500757\pi\)
\(548\) 5.60121 4.69998i 0.239272 0.200773i
\(549\) 0.731235 27.2398i 0.0312083 1.16257i
\(550\) −6.83519 + 14.7692i −0.291453 + 0.629762i
\(551\) 19.6020 3.26921i 0.835075 0.139273i
\(552\) −1.34124 + 13.2761i −0.0570871 + 0.565068i
\(553\) 1.82084 + 10.3265i 0.0774299 + 0.439127i
\(554\) −14.9398 + 12.5360i −0.634733 + 0.532604i
\(555\) 10.8943 11.6069i 0.462439 0.492685i
\(556\) −0.502507 0.182898i −0.0213110 0.00775658i
\(557\) 14.6705 + 12.3100i 0.621609 + 0.521592i 0.898309 0.439365i \(-0.144796\pi\)
−0.276700 + 0.960956i \(0.589241\pi\)
\(558\) −5.04896 + 5.69925i −0.213740 + 0.241269i
\(559\) −30.6527 + 17.6973i −1.29647 + 0.748517i
\(560\) −3.05204 + 1.26936i −0.128972 + 0.0536403i
\(561\) −23.3943 6.60620i −0.987710 0.278914i
\(562\) −0.853575 + 0.492812i −0.0360059 + 0.0207880i
\(563\) 5.79723 + 3.34703i 0.244324 + 0.141061i 0.617163 0.786836i \(-0.288282\pi\)
−0.372838 + 0.927896i \(0.621615\pi\)
\(564\) 14.3510 + 14.7415i 0.604288 + 0.620728i
\(565\) −5.99592 26.8624i −0.252250 1.13011i
\(566\) −8.64931 + 3.14809i −0.363558 + 0.132324i
\(567\) −3.87306 12.7281i −0.162653 0.534530i
\(568\) 2.17986 0.384368i 0.0914649 0.0161277i
\(569\) 8.36559 0.350704 0.175352 0.984506i \(-0.443894\pi\)
0.175352 + 0.984506i \(0.443894\pi\)
\(570\) 16.4004 + 4.00333i 0.686937 + 0.167681i
\(571\) −20.1454 −0.843060 −0.421530 0.906814i \(-0.638507\pi\)
−0.421530 + 0.906814i \(0.638507\pi\)
\(572\) −13.7891 + 2.43140i −0.576553 + 0.101662i
\(573\) 11.2844 + 16.5850i 0.471411 + 0.692850i
\(574\) 1.86467 0.678684i 0.0778298 0.0283277i
\(575\) 27.1589 27.3161i 1.13261 1.13916i
\(576\) −1.86600 2.34905i −0.0777499 0.0978772i
\(577\) −6.73746 3.88988i −0.280484 0.161938i 0.353158 0.935564i \(-0.385108\pi\)
−0.633643 + 0.773626i \(0.718441\pi\)
\(578\) 1.37998 0.796731i 0.0573995 0.0331396i
\(579\) −0.0561697 + 0.198912i −0.00233433 + 0.00826651i
\(580\) 3.91486 + 9.41288i 0.162556 + 0.390848i
\(581\) 3.31063 1.91140i 0.137348 0.0792980i
\(582\) −13.2204 9.52391i −0.548002 0.394779i
\(583\) 3.66845 + 3.07820i 0.151932 + 0.127486i
\(584\) 11.1418 + 4.05528i 0.461051 + 0.167809i
\(585\) 21.7643 18.9494i 0.899844 0.783463i
\(586\) 9.27079 7.77912i 0.382973 0.321352i
\(587\) 1.97128 + 11.1797i 0.0813632 + 0.461434i 0.998082 + 0.0619014i \(0.0197164\pi\)
−0.916719 + 0.399533i \(0.869172\pi\)
\(588\) −8.29716 0.838237i −0.342169 0.0345683i
\(589\) −2.02203 + 10.8766i −0.0833161 + 0.448161i
\(590\) −14.5916 22.8314i −0.600726 0.939956i
\(591\) 2.57441 + 34.7977i 0.105897 + 1.43139i
\(592\) −3.14860 + 2.64199i −0.129407 + 0.108585i
\(593\) 24.3330 8.85648i 0.999236 0.363692i 0.209946 0.977713i \(-0.432671\pi\)
0.789290 + 0.614021i \(0.210449\pi\)
\(594\) 13.4524 + 10.2504i 0.551959 + 0.420579i
\(595\) −1.84004 + 14.1340i −0.0754342 + 0.579439i
\(596\) 3.42332 + 1.97645i 0.140225 + 0.0809587i
\(597\) 16.5603 + 36.7948i 0.677768 + 1.50591i
\(598\) 32.6378 + 5.75493i 1.33466 + 0.235337i
\(599\) −4.49458 + 25.4900i −0.183643 + 1.04149i 0.744043 + 0.668132i \(0.232906\pi\)
−0.927686 + 0.373361i \(0.878205\pi\)
\(600\) −0.0912179 + 8.65977i −0.00372395 + 0.353534i
\(601\) 24.4980 + 14.1439i 0.999294 + 0.576943i 0.908039 0.418885i \(-0.137579\pi\)
0.0912547 + 0.995828i \(0.470912\pi\)
\(602\) −7.81807 + 9.31722i −0.318641 + 0.379741i
\(603\) 34.1012 + 20.9281i 1.38871 + 0.852258i
\(604\) −1.64078 4.50800i −0.0667623 0.183428i
\(605\) 0.271746 0.866225i 0.0110481 0.0352171i
\(606\) −1.26631 17.1164i −0.0514403 0.695308i
\(607\) −42.0994 −1.70876 −0.854381 0.519647i \(-0.826063\pi\)
−0.854381 + 0.519647i \(0.826063\pi\)
\(608\) −4.08202 1.52876i −0.165548 0.0619993i
\(609\) 1.17334 11.6142i 0.0475463 0.470630i
\(610\) 14.9548 13.7433i 0.605501 0.556449i
\(611\) 39.1430 32.8449i 1.58356 1.32876i
\(612\) −12.7952 + 1.90365i −0.517216 + 0.0769505i
\(613\) 9.34878 25.6856i 0.377594 1.03743i −0.594757 0.803906i \(-0.702752\pi\)
0.972351 0.233525i \(-0.0750260\pi\)
\(614\) −4.50959 + 5.37432i −0.181992 + 0.216890i
\(615\) 0.288958 5.19086i 0.0116519 0.209316i
\(616\) −4.16688 + 2.40575i −0.167888 + 0.0969304i
\(617\) 5.70210 32.3382i 0.229558 1.30189i −0.624220 0.781249i \(-0.714583\pi\)
0.853778 0.520638i \(-0.174306\pi\)
\(618\) −26.9306 7.60479i −1.08331 0.305909i
\(619\) 16.3880 + 28.3849i 0.658690 + 1.14088i 0.980955 + 0.194235i \(0.0622225\pi\)
−0.322265 + 0.946649i \(0.604444\pi\)
\(620\) −5.66940 + 0.255728i −0.227689 + 0.0102703i
\(621\) −21.6225 33.6890i −0.867681 1.35189i
\(622\) −6.07606 2.21151i −0.243628 0.0886733i
\(623\) 2.27412 + 6.24810i 0.0911108 + 0.250325i
\(624\) −6.16032 + 4.19145i −0.246610 + 0.167792i
\(625\) 15.9589 19.2435i 0.638356 0.769742i
\(626\) −13.2678 −0.530287
\(627\) 24.4251 + 2.69668i 0.975445 + 0.107695i
\(628\) 5.12488i 0.204505i
\(629\) 3.07761 + 17.4540i 0.122712 + 0.695936i
\(630\) 4.80079 8.67690i 0.191268 0.345696i
\(631\) −14.5454 + 5.29409i −0.579042 + 0.210754i −0.614903 0.788603i \(-0.710805\pi\)
0.0358608 + 0.999357i \(0.488583\pi\)
\(632\) −6.66555 2.42606i −0.265141 0.0965036i
\(633\) 31.4061 30.5743i 1.24828 1.21522i
\(634\) 13.8322 23.9581i 0.549348 0.951499i
\(635\) 2.53797 + 1.31653i 0.100716 + 0.0522450i
\(636\) 2.45245 + 0.692533i 0.0972459 + 0.0274607i
\(637\) −3.59666 + 20.3977i −0.142505 + 0.808186i
\(638\) 7.41963 + 12.8512i 0.293746 + 0.508783i
\(639\) −4.40338 + 4.97052i −0.174195 + 0.196631i
\(640\) 0.288666 2.21736i 0.0114105 0.0876487i
\(641\) −35.9483 13.0841i −1.41987 0.516791i −0.485860 0.874037i \(-0.661494\pi\)
−0.934010 + 0.357246i \(0.883716\pi\)
\(642\) −18.3317 + 4.64925i −0.723496 + 0.183491i
\(643\) 6.24965 + 7.44804i 0.246462 + 0.293722i 0.875066 0.484003i \(-0.160818\pi\)
−0.628604 + 0.777726i \(0.716373\pi\)
\(644\) 11.2154 1.97758i 0.441950 0.0779278i
\(645\) 14.3745 + 28.4397i 0.565996 + 1.11981i
\(646\) −14.5097 + 11.9475i −0.570878 + 0.470069i
\(647\) −11.4994 −0.452090 −0.226045 0.974117i \(-0.572580\pi\)
−0.226045 + 0.974117i \(0.572580\pi\)
\(648\) 8.76666 + 2.03610i 0.344387 + 0.0799855i
\(649\) −25.3522 30.2136i −0.995163 1.18599i
\(650\) 21.4327 + 1.81281i 0.840661 + 0.0711044i
\(651\) 5.85214 + 2.82511i 0.229364 + 0.110725i
\(652\) 3.86189 4.60242i 0.151243 0.180245i
\(653\) 13.7942 23.8922i 0.539807 0.934973i −0.459107 0.888381i \(-0.651831\pi\)
0.998914 0.0465920i \(-0.0148361\pi\)
\(654\) −3.84069 8.53352i −0.150183 0.333687i
\(655\) 21.6977 9.02419i 0.847800 0.352604i
\(656\) −0.233097 + 1.32196i −0.00910089 + 0.0516137i
\(657\) −33.7398 + 11.2645i −1.31632 + 0.439470i
\(658\) 8.77941 15.2064i 0.342257 0.592806i
\(659\) −20.6532 17.3301i −0.804533 0.675083i 0.144763 0.989466i \(-0.453758\pi\)
−0.949296 + 0.314383i \(0.898202\pi\)
\(660\) 1.49561 + 12.5169i 0.0582167 + 0.487220i
\(661\) 11.9285 + 32.7733i 0.463965 + 1.27473i 0.922479 + 0.386046i \(0.126160\pi\)
−0.458514 + 0.888687i \(0.651618\pi\)
\(662\) 16.9736 14.2425i 0.659696 0.553551i
\(663\) 2.37049 + 32.0414i 0.0920620 + 1.24438i
\(664\) 2.58601i 0.100357i
\(665\) −0.515721 14.3990i −0.0199988 0.558371i
\(666\) 2.46628 12.0814i 0.0955663 0.468147i
\(667\) −6.09912 34.5898i −0.236159 1.33932i
\(668\) 7.97794 + 9.50774i 0.308676 + 0.367866i
\(669\) −39.8889 + 10.1165i −1.54219 + 0.391127i
\(670\) 6.49675 + 29.1061i 0.250991 + 1.12447i
\(671\) 19.0036 22.6476i 0.733626 0.874302i
\(672\) −1.49661 + 2.07748i −0.0577329 + 0.0801404i
\(673\) 7.40599 + 12.8275i 0.285480 + 0.494466i 0.972725 0.231960i \(-0.0745137\pi\)
−0.687246 + 0.726425i \(0.741180\pi\)
\(674\) 0.353920 + 0.0624056i 0.0136325 + 0.00240377i
\(675\) −15.9449 20.5125i −0.613718 0.789526i
\(676\) 2.75297 + 4.76828i 0.105883 + 0.183396i
\(677\) 18.6874 + 10.7891i 0.718213 + 0.414661i 0.814095 0.580732i \(-0.197234\pi\)
−0.0958814 + 0.995393i \(0.530567\pi\)
\(678\) −14.8715 15.2761i −0.571138 0.586676i
\(679\) −4.75620 + 13.0675i −0.182526 + 0.501486i
\(680\) −7.65794 5.85861i −0.293669 0.224667i
\(681\) −12.3406 18.1374i −0.472894 0.695029i
\(682\) −8.13532 + 1.43448i −0.311518 + 0.0549290i
\(683\) 17.1907i 0.657782i 0.944368 + 0.328891i \(0.106675\pi\)
−0.944368 + 0.328891i \(0.893325\pi\)
\(684\) 12.4415 4.02591i 0.475714 0.153935i
\(685\) −13.7766 + 8.80464i −0.526377 + 0.336408i
\(686\) 3.03281 + 17.1999i 0.115793 + 0.656696i
\(687\) 20.6637 14.0594i 0.788368 0.536401i
\(688\) −2.81406 7.73157i −0.107285 0.294763i
\(689\) 2.16474 5.94758i 0.0824701 0.226585i
\(690\) 6.80637 29.0506i 0.259114 1.10594i
\(691\) −1.18086 + 2.04531i −0.0449220 + 0.0778072i −0.887612 0.460592i \(-0.847637\pi\)
0.842690 + 0.538399i \(0.180971\pi\)
\(692\) −3.56469 + 2.05807i −0.135509 + 0.0782362i
\(693\) 5.29910 13.4266i 0.201296 0.510035i
\(694\) −9.52897 1.68021i −0.361715 0.0637801i
\(695\) 1.06144 + 0.550606i 0.0402627 + 0.0208857i
\(696\) 6.40720 + 4.61572i 0.242864 + 0.174958i
\(697\) 4.43404 + 3.72060i 0.167951 + 0.140928i
\(698\) −8.21998 + 22.5842i −0.311131 + 0.854825i
\(699\) −4.12107 + 1.04518i −0.155873 + 0.0395322i
\(700\) 7.13389 1.93360i 0.269636 0.0730833i
\(701\) −26.2374 + 4.62636i −0.990972 + 0.174735i −0.645555 0.763714i \(-0.723374\pi\)
−0.345417 + 0.938449i \(0.612263\pi\)
\(702\) 6.64969 21.3411i 0.250976 0.805468i
\(703\) −5.97121 16.8916i −0.225208 0.637079i
\(704\) 3.25484i 0.122671i
\(705\) −27.5660 36.8297i −1.03820 1.38709i
\(706\) −8.12372 9.68147i −0.305740 0.364367i
\(707\) −13.7649 + 5.01003i −0.517684 + 0.188421i
\(708\) −18.9012 9.12454i −0.710352 0.342921i
\(709\) 33.7315 + 28.3041i 1.26681 + 1.06298i 0.994922 + 0.100654i \(0.0320935\pi\)
0.271891 + 0.962328i \(0.412351\pi\)
\(710\) −4.94448 + 0.223029i −0.185563 + 0.00837014i
\(711\) 20.1848 6.73896i 0.756988 0.252731i
\(712\) −4.42959 0.781056i −0.166006 0.0292713i
\(713\) 19.2557 + 3.39530i 0.721132 + 0.127155i
\(714\) 4.53125 + 10.0679i 0.169578 + 0.376780i
\(715\) 31.2773 1.41082i 1.16970 0.0527615i
\(716\) −4.07184 3.41668i −0.152172 0.127687i
\(717\) 23.1582 47.9716i 0.864859 1.79153i
\(718\) −9.18005 + 3.34127i −0.342596 + 0.124695i
\(719\) 24.3135 + 28.9757i 0.906741 + 1.08061i 0.996412 + 0.0846401i \(0.0269741\pi\)
−0.0896708 + 0.995971i \(0.528582\pi\)
\(720\) 3.45949 + 5.74734i 0.128928 + 0.214191i
\(721\) 23.8834i 0.889464i
\(722\) 12.4808 14.3258i 0.464489 0.533151i
\(723\) 1.01143 10.0115i 0.0376156 0.372332i
\(724\) −25.3198 + 4.46457i −0.941004 + 0.165924i
\(725\) −5.96347 22.0018i −0.221478 0.817126i
\(726\) −0.172875 0.681637i −0.00641600 0.0252979i
\(727\) −3.86750 + 10.6259i −0.143438 + 0.394092i −0.990520 0.137370i \(-0.956135\pi\)
0.847082 + 0.531462i \(0.178357\pi\)
\(728\) 4.87147 + 4.08765i 0.180549 + 0.151498i
\(729\) −24.3927 + 11.5757i −0.903433 + 0.428729i
\(730\) −23.5347 12.2083i −0.871059 0.451848i
\(731\) −34.9392 6.16073i −1.29227 0.227863i
\(732\) 4.27543 15.1405i 0.158025 0.559608i
\(733\) −29.1108 + 16.8071i −1.07523 + 0.620786i −0.929606 0.368554i \(-0.879853\pi\)
−0.145626 + 0.989340i \(0.546520\pi\)
\(734\) −13.5278 + 23.4308i −0.499320 + 0.864847i
\(735\) 18.1558 + 4.25378i 0.669687 + 0.156903i
\(736\) −2.63491 + 7.23936i −0.0971242 + 0.266846i
\(737\) 14.8470 + 40.7918i 0.546896 + 1.50259i
\(738\) −1.91921 3.54030i −0.0706472 0.130320i
\(739\) 4.15936 + 23.5889i 0.153005 + 0.867732i 0.960588 + 0.277978i \(0.0896642\pi\)
−0.807583 + 0.589754i \(0.799225\pi\)
\(740\) 7.74422 4.94934i 0.284683 0.181941i
\(741\) −7.69194 31.5543i −0.282571 1.15918i
\(742\) 2.17495i 0.0798449i
\(743\) −37.1845 + 6.55664i −1.36417 + 0.240540i −0.807339 0.590087i \(-0.799093\pi\)
−0.556829 + 0.830627i \(0.687982\pi\)
\(744\) −3.63447 + 2.47287i −0.133246 + 0.0906600i
\(745\) −7.02018 5.37070i −0.257200 0.196767i
\(746\) −10.0810 + 27.6974i −0.369093 + 1.01408i
\(747\) −4.82549 6.07467i −0.176555 0.222261i
\(748\) −12.1546 7.01746i −0.444416 0.256584i
\(749\) 8.07049 + 13.9785i 0.294889 + 0.510763i
\(750\) 2.70205 19.1755i 0.0986648 0.700189i
\(751\) 14.6978 + 2.59162i 0.536331 + 0.0945696i 0.435252 0.900309i \(-0.356659\pi\)
0.101079 + 0.994878i \(0.467771\pi\)
\(752\) 5.93902 + 10.2867i 0.216574 + 0.375117i
\(753\) −25.5118 18.3786i −0.929703 0.669755i
\(754\) 12.6068 15.0242i 0.459113 0.547149i
\(755\) 2.33688 + 10.4695i 0.0850479 + 0.381024i
\(756\) −0.360960 7.67277i −0.0131280 0.279056i
\(757\) −1.36076 1.62169i −0.0494576 0.0589413i 0.740749 0.671782i \(-0.234471\pi\)
−0.790206 + 0.612841i \(0.790027\pi\)
\(758\) −1.69527 9.61435i −0.0615750 0.349209i
\(759\) 4.36554 43.2116i 0.158459 1.56848i
\(760\) 8.61000 + 4.56814i 0.312317 + 0.165704i
\(761\) 33.4174i 1.21138i 0.795701 + 0.605690i \(0.207103\pi\)
−0.795701 + 0.605690i \(0.792897\pi\)
\(762\) 2.20862 0.163399i 0.0800100 0.00591930i
\(763\) −6.11823 + 5.13381i −0.221495 + 0.185856i
\(764\) 3.96114 + 10.8831i 0.143309 + 0.393738i
\(765\) 28.9211 0.527527i 1.04564 0.0190728i
\(766\) 16.2003 + 13.5937i 0.585341 + 0.491159i
\(767\) −26.0642 + 45.1445i −0.941124 + 1.63007i
\(768\) −0.710866 1.57945i −0.0256512 0.0569936i
\(769\) 2.70890 15.3629i 0.0976855 0.554002i −0.896206 0.443639i \(-0.853687\pi\)
0.993891 0.110363i \(-0.0352015\pi\)
\(770\) 9.93392 4.13157i 0.357994 0.148891i
\(771\) 47.1971 21.2421i 1.69976 0.765015i
\(772\) −0.0596665 + 0.103345i −0.00214744 + 0.00371948i
\(773\) 9.91263 11.8134i 0.356533 0.424899i −0.557729 0.830023i \(-0.688327\pi\)
0.914262 + 0.405124i \(0.132772\pi\)
\(774\) 21.0375 + 12.9108i