Properties

Label 483.2.bf.a.388.25
Level $483$
Weight $2$
Character 483.388
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 388.25
Character \(\chi\) \(=\) 483.388
Dual form 483.2.bf.a.61.25

$q$-expansion

\(f(q)\) \(=\) \(q+(1.28527 - 1.01074i) q^{2} +(-0.814576 + 0.580057i) q^{3} +(0.158786 - 0.654524i) q^{4} +(-2.14723 - 0.413845i) q^{5} +(-0.460657 + 1.56885i) q^{6} +(0.00533610 - 2.64575i) q^{7} +(0.901005 + 1.97293i) q^{8} +(0.327068 - 0.945001i) q^{9} +O(q^{10})\) \(q+(1.28527 - 1.01074i) q^{2} +(-0.814576 + 0.580057i) q^{3} +(0.158786 - 0.654524i) q^{4} +(-2.14723 - 0.413845i) q^{5} +(-0.460657 + 1.56885i) q^{6} +(0.00533610 - 2.64575i) q^{7} +(0.901005 + 1.97293i) q^{8} +(0.327068 - 0.945001i) q^{9} +(-3.17805 + 1.63840i) q^{10} +(3.99977 - 5.08612i) q^{11} +(0.250318 + 0.625264i) q^{12} +(1.48491 - 2.31057i) q^{13} +(-2.66731 - 3.40588i) q^{14} +(1.98914 - 0.908408i) q^{15} +(4.34943 + 2.24229i) q^{16} +(1.48037 - 1.41153i) q^{17} +(-0.534785 - 1.54516i) q^{18} +(-5.20877 - 4.96655i) q^{19} +(-0.611821 + 1.33970i) q^{20} +(1.53034 + 2.15826i) q^{21} -10.5797i q^{22} +(-4.77977 - 0.392123i) q^{23} +(-1.87835 - 1.08446i) q^{24} +(-0.202504 - 0.0810704i) q^{25} +(-0.426887 - 4.47056i) q^{26} +(0.281733 + 0.959493i) q^{27} +(-1.73086 - 0.423600i) q^{28} +(7.63476 + 2.24177i) q^{29} +(1.63840 - 3.17805i) q^{30} +(-0.702539 + 7.35732i) q^{31} +(3.59708 - 0.693281i) q^{32} +(-0.307876 + 6.46312i) q^{33} +(0.475973 - 3.31047i) q^{34} +(-1.10639 + 5.67882i) q^{35} +(-0.566592 - 0.364127i) q^{36} +(-2.95022 - 1.02108i) q^{37} +(-11.7146 - 1.11860i) q^{38} +(0.130687 + 2.74347i) q^{39} +(-1.11818 - 4.60921i) q^{40} +(1.77581 + 1.53875i) q^{41} +(4.14833 + 1.22715i) q^{42} +(4.43593 + 2.02582i) q^{43} +(-2.69388 - 3.42555i) q^{44} +(-1.09337 + 1.89378i) q^{45} +(-6.53961 + 4.32714i) q^{46} +(8.32740 - 4.80783i) q^{47} +(-4.84360 + 0.696404i) q^{48} +(-6.99994 - 0.0282359i) q^{49} +(-0.342213 + 0.100483i) q^{50} +(-0.387106 + 2.00850i) q^{51} +(-1.27654 - 1.33880i) q^{52} +(5.16597 - 0.246086i) q^{53} +(1.33190 + 0.948443i) q^{54} +(-10.6933 + 9.26579i) q^{55} +(5.22467 - 2.37330i) q^{56} +(7.12382 + 1.02425i) q^{57} +(12.0785 - 4.83552i) q^{58} +(-0.385011 - 0.746817i) q^{59} +(-0.278728 - 1.44618i) q^{60} +(-3.00353 + 4.21787i) q^{61} +(6.53342 + 10.1662i) q^{62} +(-2.49849 - 0.870381i) q^{63} +(-2.48652 + 2.86959i) q^{64} +(-4.14467 + 4.34680i) q^{65} +(6.13686 + 8.61801i) q^{66} +(-2.20171 + 5.49960i) q^{67} +(-0.688819 - 1.19307i) q^{68} +(4.12094 - 2.45313i) q^{69} +(4.31783 + 8.41706i) q^{70} +(-0.209481 - 1.45697i) q^{71} +(2.15911 - 0.206170i) q^{72} +(-3.38783 - 0.821878i) q^{73} +(-4.82386 + 1.66955i) q^{74} +(0.211980 - 0.0514259i) q^{75} +(-4.07781 + 2.62065i) q^{76} +(-13.4352 - 10.6095i) q^{77} +(2.94091 + 3.39399i) q^{78} +(-2.66020 - 0.126721i) q^{79} +(-8.41128 - 6.61470i) q^{80} +(-0.786053 - 0.618159i) q^{81} +(3.83766 + 0.182810i) q^{82} +(-1.91431 - 2.20923i) q^{83} +(1.65563 - 0.658942i) q^{84} +(-3.76285 + 2.41824i) q^{85} +(7.74893 - 1.87987i) q^{86} +(-7.51944 + 2.60250i) q^{87} +(13.6383 + 3.30863i) q^{88} +(3.72235 - 0.355441i) q^{89} +(0.508850 + 3.53913i) q^{90} +(-6.10525 - 3.94103i) q^{91} +(-1.01561 + 3.06621i) q^{92} +(-3.69540 - 6.40061i) q^{93} +(5.84344 - 14.5962i) q^{94} +(9.12905 + 12.8200i) q^{95} +(-2.52796 + 2.65124i) q^{96} +(-2.30322 + 2.65806i) q^{97} +(-9.02532 + 7.03886i) q^{98} +(-3.49819 - 5.44329i) 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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{5}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.28527 1.01074i 0.908820 0.714704i −0.0499910 0.998750i \(-0.515919\pi\)
0.958811 + 0.284046i \(0.0916768\pi\)
\(3\) −0.814576 + 0.580057i −0.470296 + 0.334896i
\(4\) 0.158786 0.654524i 0.0793929 0.327262i
\(5\) −2.14723 0.413845i −0.960271 0.185077i −0.315052 0.949074i \(-0.602022\pi\)
−0.645219 + 0.763997i \(0.723234\pi\)
\(6\) −0.460657 + 1.56885i −0.188063 + 0.640482i
\(7\) 0.00533610 2.64575i 0.00201686 0.999998i
\(8\) 0.901005 + 1.97293i 0.318553 + 0.697535i
\(9\) 0.327068 0.945001i 0.109023 0.315000i
\(10\) −3.17805 + 1.63840i −1.00499 + 0.518108i
\(11\) 3.99977 5.08612i 1.20598 1.53352i 0.429907 0.902873i \(-0.358546\pi\)
0.776068 0.630649i \(-0.217211\pi\)
\(12\) 0.250318 + 0.625264i 0.0722606 + 0.180498i
\(13\) 1.48491 2.31057i 0.411841 0.640836i −0.571923 0.820308i \(-0.693802\pi\)
0.983763 + 0.179471i \(0.0574386\pi\)
\(14\) −2.66731 3.40588i −0.712869 0.910259i
\(15\) 1.98914 0.908408i 0.513593 0.234550i
\(16\) 4.34943 + 2.24229i 1.08736 + 0.560572i
\(17\) 1.48037 1.41153i 0.359043 0.342347i −0.488991 0.872289i \(-0.662635\pi\)
0.848034 + 0.529942i \(0.177786\pi\)
\(18\) −0.534785 1.54516i −0.126050 0.364197i
\(19\) −5.20877 4.96655i −1.19497 1.13941i −0.986907 0.161290i \(-0.948434\pi\)
−0.208067 0.978115i \(-0.566717\pi\)
\(20\) −0.611821 + 1.33970i −0.136807 + 0.299566i
\(21\) 1.53034 + 2.15826i 0.333947 + 0.470970i
\(22\) 10.5797i 2.25561i
\(23\) −4.77977 0.392123i −0.996652 0.0817633i
\(24\) −1.87835 1.08446i −0.383416 0.221365i
\(25\) −0.202504 0.0810704i −0.0405008 0.0162141i
\(26\) −0.426887 4.47056i −0.0837194 0.876749i
\(27\) 0.281733 + 0.959493i 0.0542195 + 0.184655i
\(28\) −1.73086 0.423600i −0.327101 0.0800528i
\(29\) 7.63476 + 2.24177i 1.41774 + 0.416286i 0.898737 0.438487i \(-0.144486\pi\)
0.519002 + 0.854773i \(0.326304\pi\)
\(30\) 1.63840 3.17805i 0.299130 0.580230i
\(31\) −0.702539 + 7.35732i −0.126180 + 1.32141i 0.681511 + 0.731808i \(0.261323\pi\)
−0.807691 + 0.589607i \(0.799283\pi\)
\(32\) 3.59708 0.693281i 0.635881 0.122556i
\(33\) −0.307876 + 6.46312i −0.0535944 + 1.12509i
\(34\) 0.475973 3.31047i 0.0816288 0.567740i
\(35\) −1.10639 + 5.67882i −0.187013 + 0.959896i
\(36\) −0.566592 0.364127i −0.0944320 0.0606878i
\(37\) −2.95022 1.02108i −0.485012 0.167864i 0.0736090 0.997287i \(-0.476548\pi\)
−0.558621 + 0.829423i \(0.688670\pi\)
\(38\) −11.7146 1.11860i −1.90035 0.181462i
\(39\) 0.130687 + 2.74347i 0.0209267 + 0.439306i
\(40\) −1.11818 4.60921i −0.176800 0.728779i
\(41\) 1.77581 + 1.53875i 0.277335 + 0.240312i 0.782410 0.622763i \(-0.213990\pi\)
−0.505076 + 0.863075i \(0.668535\pi\)
\(42\) 4.14833 + 1.22715i 0.640102 + 0.189354i
\(43\) 4.43593 + 2.02582i 0.676473 + 0.308935i 0.723865 0.689941i \(-0.242364\pi\)
−0.0473921 + 0.998876i \(0.515091\pi\)
\(44\) −2.69388 3.42555i −0.406118 0.516421i
\(45\) −1.09337 + 1.89378i −0.162991 + 0.282308i
\(46\) −6.53961 + 4.32714i −0.964213 + 0.638003i
\(47\) 8.32740 4.80783i 1.21468 0.701294i 0.250902 0.968013i \(-0.419273\pi\)
0.963774 + 0.266719i \(0.0859395\pi\)
\(48\) −4.84360 + 0.696404i −0.699113 + 0.100517i
\(49\) −6.99994 0.0282359i −0.999992 0.00403371i
\(50\) −0.342213 + 0.100483i −0.0483962 + 0.0142104i
\(51\) −0.387106 + 2.00850i −0.0542057 + 0.281246i
\(52\) −1.27654 1.33880i −0.177024 0.185658i
\(53\) 5.16597 0.246086i 0.709601 0.0338025i 0.310321 0.950632i \(-0.399563\pi\)
0.399280 + 0.916829i \(0.369260\pi\)
\(54\) 1.33190 + 0.948443i 0.181249 + 0.129067i
\(55\) −10.6933 + 9.26579i −1.44188 + 1.24940i
\(56\) 5.22467 2.37330i 0.698176 0.317146i
\(57\) 7.12382 + 1.02425i 0.943573 + 0.135665i
\(58\) 12.0785 4.83552i 1.58599 0.634935i
\(59\) −0.385011 0.746817i −0.0501242 0.0972273i 0.862443 0.506154i \(-0.168933\pi\)
−0.912567 + 0.408927i \(0.865903\pi\)
\(60\) −0.278728 1.44618i −0.0359837 0.186701i
\(61\) −3.00353 + 4.21787i −0.384563 + 0.540043i −0.960801 0.277239i \(-0.910581\pi\)
0.576238 + 0.817282i \(0.304520\pi\)
\(62\) 6.53342 + 10.1662i 0.829745 + 1.29111i
\(63\) −2.49849 0.870381i −0.314780 0.109658i
\(64\) −2.48652 + 2.86959i −0.310815 + 0.358699i
\(65\) −4.14467 + 4.34680i −0.514083 + 0.539154i
\(66\) 6.13686 + 8.61801i 0.755395 + 1.06080i
\(67\) −2.20171 + 5.49960i −0.268982 + 0.671883i −0.999945 0.0105337i \(-0.996647\pi\)
0.730963 + 0.682417i \(0.239071\pi\)
\(68\) −0.688819 1.19307i −0.0835316 0.144681i
\(69\) 4.12094 2.45313i 0.496103 0.295322i
\(70\) 4.31783 + 8.41706i 0.516080 + 1.00603i
\(71\) −0.209481 1.45697i −0.0248608 0.172911i 0.973608 0.228226i \(-0.0732926\pi\)
−0.998469 + 0.0553155i \(0.982384\pi\)
\(72\) 2.15911 0.206170i 0.254453 0.0242973i
\(73\) −3.38783 0.821878i −0.396515 0.0961935i 0.0325432 0.999470i \(-0.489639\pi\)
−0.429058 + 0.903277i \(0.641154\pi\)
\(74\) −4.82386 + 1.66955i −0.560762 + 0.194082i
\(75\) 0.211980 0.0514259i 0.0244774 0.00593815i
\(76\) −4.07781 + 2.62065i −0.467756 + 0.300609i
\(77\) −13.4352 10.6095i −1.53109 1.20907i
\(78\) 2.94091 + 3.39399i 0.332992 + 0.384294i
\(79\) −2.66020 0.126721i −0.299296 0.0142572i −0.102603 0.994722i \(-0.532717\pi\)
−0.196693 + 0.980465i \(0.563020\pi\)
\(80\) −8.41128 6.61470i −0.940409 0.739546i
\(81\) −0.786053 0.618159i −0.0873392 0.0686843i
\(82\) 3.83766 + 0.182810i 0.423799 + 0.0201880i
\(83\) −1.91431 2.20923i −0.210123 0.242494i 0.640899 0.767625i \(-0.278562\pi\)
−0.851021 + 0.525131i \(0.824016\pi\)
\(84\) 1.65563 0.658942i 0.180644 0.0718964i
\(85\) −3.76285 + 2.41824i −0.408139 + 0.262295i
\(86\) 7.74893 1.87987i 0.835589 0.202712i
\(87\) −7.51944 + 2.60250i −0.806169 + 0.279018i
\(88\) 13.6383 + 3.30863i 1.45385 + 0.352701i
\(89\) 3.72235 0.355441i 0.394568 0.0376767i 0.104113 0.994565i \(-0.466800\pi\)
0.290455 + 0.956889i \(0.406193\pi\)
\(90\) 0.508850 + 3.53913i 0.0536375 + 0.373057i
\(91\) −6.10525 3.94103i −0.640004 0.413132i
\(92\) −1.01561 + 3.06621i −0.105885 + 0.319675i
\(93\) −3.69540 6.40061i −0.383195 0.663713i
\(94\) 5.84344 14.5962i 0.602705 1.50548i
\(95\) 9.12905 + 12.8200i 0.936621 + 1.31530i
\(96\) −2.52796 + 2.65124i −0.258008 + 0.270591i
\(97\) −2.30322 + 2.65806i −0.233857 + 0.269885i −0.860533 0.509394i \(-0.829869\pi\)
0.626676 + 0.779280i \(0.284415\pi\)
\(98\) −9.02532 + 7.03886i −0.911695 + 0.711032i
\(99\) −3.49819 5.44329i −0.351581 0.547071i
\(100\) −0.0852173 + 0.119671i −0.00852173 + 0.0119671i
\(101\) 2.61042 + 13.5442i 0.259747 + 1.34770i 0.844096 + 0.536193i \(0.180138\pi\)
−0.584349 + 0.811503i \(0.698650\pi\)
\(102\) 1.53254 + 2.97272i 0.151744 + 0.294343i
\(103\) 3.55703 1.42402i 0.350484 0.140313i −0.189739 0.981835i \(-0.560764\pi\)
0.540223 + 0.841522i \(0.318340\pi\)
\(104\) 5.89649 + 0.847788i 0.578199 + 0.0831324i
\(105\) −2.39280 5.26760i −0.233514 0.514065i
\(106\) 6.39092 5.53776i 0.620741 0.537875i
\(107\) 0.952219 + 0.678072i 0.0920545 + 0.0655517i 0.625157 0.780499i \(-0.285035\pi\)
−0.533103 + 0.846050i \(0.678974\pi\)
\(108\) 0.672746 0.0320469i 0.0647350 0.00308371i
\(109\) −2.60635 2.73346i −0.249643 0.261818i 0.586974 0.809605i \(-0.300319\pi\)
−0.836618 + 0.547787i \(0.815470\pi\)
\(110\) −4.37838 + 22.7172i −0.417462 + 2.16600i
\(111\) 2.99546 0.879546i 0.284316 0.0834828i
\(112\) 5.95573 11.4955i 0.562764 1.08622i
\(113\) −9.97837 + 1.43467i −0.938686 + 0.134963i −0.594642 0.803991i \(-0.702706\pi\)
−0.344044 + 0.938953i \(0.611797\pi\)
\(114\) 10.1913 5.88392i 0.954498 0.551080i
\(115\) 10.1010 + 2.82006i 0.941923 + 0.262972i
\(116\) 2.67958 4.64117i 0.248793 0.430922i
\(117\) −1.69782 2.15896i −0.156964 0.199596i
\(118\) −1.24968 0.570711i −0.115043 0.0525382i
\(119\) −3.72665 3.92422i −0.341622 0.359732i
\(120\) 3.58444 + 3.10594i 0.327214 + 0.283532i
\(121\) −7.27711 29.9966i −0.661555 2.72697i
\(122\) 0.402851 + 8.45688i 0.0364724 + 0.765650i
\(123\) −2.33909 0.223356i −0.210909 0.0201394i
\(124\) 4.70399 + 1.62807i 0.422431 + 0.146205i
\(125\) 9.59932 + 6.16911i 0.858590 + 0.551782i
\(126\) −4.09095 + 1.40666i −0.364451 + 0.125315i
\(127\) 1.64778 11.4606i 0.146217 1.01696i −0.776122 0.630583i \(-0.782816\pi\)
0.922339 0.386381i \(-0.126275\pi\)
\(128\) −0.644022 + 13.5197i −0.0569241 + 1.19498i
\(129\) −4.78849 + 0.922907i −0.421603 + 0.0812574i
\(130\) −0.933494 + 9.77599i −0.0818728 + 0.857411i
\(131\) 7.18072 13.9286i 0.627382 1.21695i −0.334218 0.942496i \(-0.608472\pi\)
0.961600 0.274456i \(-0.0884977\pi\)
\(132\) 4.18138 + 1.22776i 0.363943 + 0.106863i
\(133\) −13.1680 + 13.7546i −1.14181 + 1.19267i
\(134\) 2.72891 + 9.29381i 0.235742 + 0.802863i
\(135\) −0.207864 2.17685i −0.0178901 0.187353i
\(136\) 4.11867 + 1.64887i 0.353173 + 0.141389i
\(137\) 15.8164 + 9.13160i 1.35129 + 0.780165i 0.988430 0.151680i \(-0.0484683\pi\)
0.362856 + 0.931845i \(0.381802\pi\)
\(138\) 2.81702 7.31814i 0.239801 0.622961i
\(139\) 18.9782i 1.60971i 0.593470 + 0.804856i \(0.297758\pi\)
−0.593470 + 0.804856i \(0.702242\pi\)
\(140\) 3.54125 + 1.62587i 0.299290 + 0.137411i
\(141\) −3.99449 + 8.74671i −0.336397 + 0.736606i
\(142\) −1.74187 1.66086i −0.146174 0.139377i
\(143\) −5.81252 16.7942i −0.486067 1.40440i
\(144\) 3.54152 3.37684i 0.295127 0.281403i
\(145\) −15.4659 7.97320i −1.28437 0.662138i
\(146\) −5.18496 + 2.36789i −0.429110 + 0.195968i
\(147\) 5.71836 4.03737i 0.471643 0.332996i
\(148\) −1.13677 + 1.76885i −0.0934422 + 0.145399i
\(149\) 4.51480 + 11.2774i 0.369866 + 0.923882i 0.990214 + 0.139555i \(0.0445672\pi\)
−0.620348 + 0.784327i \(0.713009\pi\)
\(150\) 0.220473 0.280354i 0.0180015 0.0228908i
\(151\) 18.3014 9.43505i 1.48935 0.767813i 0.494501 0.869177i \(-0.335351\pi\)
0.994849 + 0.101364i \(0.0323206\pi\)
\(152\) 5.10551 14.7514i 0.414112 1.19650i
\(153\) −0.849716 1.86062i −0.0686955 0.150422i
\(154\) −27.9913 0.0564546i −2.25561 0.00454924i
\(155\) 4.55331 15.5071i 0.365730 1.24556i
\(156\) 1.81642 + 0.350086i 0.145430 + 0.0280293i
\(157\) −0.195188 + 0.804576i −0.0155777 + 0.0642122i −0.979070 0.203524i \(-0.934760\pi\)
0.963492 + 0.267736i \(0.0862756\pi\)
\(158\) −3.54715 + 2.52591i −0.282196 + 0.200951i
\(159\) −4.06533 + 3.19701i −0.322402 + 0.253540i
\(160\) −8.01068 −0.633300
\(161\) −1.06296 + 12.6440i −0.0837732 + 0.996485i
\(162\) −1.63509 −0.128465
\(163\) 7.83741 6.16341i 0.613874 0.482756i −0.262148 0.965028i \(-0.584431\pi\)
0.876021 + 0.482272i \(0.160188\pi\)
\(164\) 1.28912 0.917978i 0.100663 0.0716821i
\(165\) 3.33581 13.7504i 0.259693 1.07047i
\(166\) −4.69336 0.904571i −0.364275 0.0702083i
\(167\) 2.62585 8.94282i 0.203194 0.692017i −0.793336 0.608784i \(-0.791657\pi\)
0.996530 0.0832322i \(-0.0265243\pi\)
\(168\) −2.87924 + 4.96384i −0.222138 + 0.382969i
\(169\) 2.26663 + 4.96323i 0.174356 + 0.381787i
\(170\) −2.39205 + 6.91136i −0.183461 + 0.530077i
\(171\) −6.39702 + 3.29789i −0.489192 + 0.252196i
\(172\) 2.03031 2.58175i 0.154810 0.196857i
\(173\) 9.23637 + 23.0713i 0.702228 + 1.75408i 0.655526 + 0.755172i \(0.272447\pi\)
0.0467020 + 0.998909i \(0.485129\pi\)
\(174\) −7.03401 + 10.9451i −0.533247 + 0.829749i
\(175\) −0.215572 + 0.535342i −0.0162957 + 0.0404680i
\(176\) 28.8012 13.1531i 2.17098 0.991451i
\(177\) 0.746817 + 0.385011i 0.0561342 + 0.0289392i
\(178\) 4.42494 4.21917i 0.331664 0.316241i
\(179\) 2.62147 + 7.57424i 0.195938 + 0.566125i 0.999580 0.0289878i \(-0.00922840\pi\)
−0.803642 + 0.595113i \(0.797107\pi\)
\(180\) 1.06591 + 1.01635i 0.0794484 + 0.0757539i
\(181\) 2.75873 6.04077i 0.205054 0.449007i −0.778965 0.627067i \(-0.784255\pi\)
0.984020 + 0.178061i \(0.0569823\pi\)
\(182\) −11.8302 + 1.10558i −0.876916 + 0.0819509i
\(183\) 5.17800i 0.382768i
\(184\) −3.53297 9.78345i −0.260454 0.721245i
\(185\) 5.91223 + 3.41343i 0.434676 + 0.250960i
\(186\) −11.2189 4.49139i −0.822613 0.329324i
\(187\) −1.25807 13.1751i −0.0919994 0.963461i
\(188\) −1.82457 6.21390i −0.133070 0.453195i
\(189\) 2.54008 0.740273i 0.184763 0.0538469i
\(190\) 24.6909 + 7.24992i 1.79127 + 0.525964i
\(191\) −1.12963 + 2.19118i −0.0817372 + 0.158548i −0.926162 0.377126i \(-0.876912\pi\)
0.844425 + 0.535674i \(0.179943\pi\)
\(192\) 0.360930 3.77982i 0.0260478 0.272785i
\(193\) −25.6721 + 4.94789i −1.84792 + 0.356157i −0.988022 0.154316i \(-0.950683\pi\)
−0.859894 + 0.510472i \(0.829471\pi\)
\(194\) −0.273634 + 5.74429i −0.0196458 + 0.412416i
\(195\) 0.854754 5.94494i 0.0612102 0.425726i
\(196\) −1.12997 + 4.57715i −0.0807123 + 0.326939i
\(197\) −0.837736 0.538380i −0.0596862 0.0383580i 0.510457 0.859903i \(-0.329476\pi\)
−0.570144 + 0.821545i \(0.693112\pi\)
\(198\) −9.99787 3.46030i −0.710518 0.245913i
\(199\) 5.15834 + 0.492562i 0.365665 + 0.0349168i 0.276272 0.961080i \(-0.410901\pi\)
0.0893935 + 0.995996i \(0.471507\pi\)
\(200\) −0.0225113 0.472570i −0.00159179 0.0334158i
\(201\) −1.39662 5.75696i −0.0985102 0.406065i
\(202\) 17.0448 + 14.7694i 1.19927 + 1.03917i
\(203\) 5.97189 20.1877i 0.419144 1.41690i
\(204\) 1.25314 + 0.572292i 0.0877376 + 0.0400684i
\(205\) −3.17627 4.03896i −0.221840 0.282093i
\(206\) 3.13240 5.42548i 0.218245 0.378011i
\(207\) −1.93387 + 4.38864i −0.134413 + 0.305032i
\(208\) 11.6395 6.72006i 0.807053 0.465952i
\(209\) −46.0943 + 6.62736i −3.18841 + 0.458424i
\(210\) −8.39958 4.35175i −0.579626 0.300299i
\(211\) 4.75554 1.39635i 0.327385 0.0961288i −0.113910 0.993491i \(-0.536338\pi\)
0.441295 + 0.897362i \(0.354519\pi\)
\(212\) 0.659214 3.42033i 0.0452750 0.234909i
\(213\) 1.01577 + 1.06530i 0.0695991 + 0.0729934i
\(214\) 1.90921 0.0909470i 0.130511 0.00621701i
\(215\) −8.68659 6.18570i −0.592421 0.421861i
\(216\) −1.63917 + 1.42035i −0.111531 + 0.0966423i
\(217\) 19.4619 + 1.89800i 1.32116 + 0.128845i
\(218\) −6.11269 0.878872i −0.414003 0.0595247i
\(219\) 3.23638 1.29565i 0.218694 0.0875519i
\(220\) 4.36674 + 8.47029i 0.294405 + 0.571067i
\(221\) −1.06322 5.51650i −0.0715198 0.371080i
\(222\) 2.96096 4.15809i 0.198727 0.279073i
\(223\) −8.88097 13.8191i −0.594714 0.925393i −0.999938 0.0111750i \(-0.996443\pi\)
0.405224 0.914217i \(-0.367194\pi\)
\(224\) −1.81505 9.52067i −0.121273 0.636127i
\(225\) −0.142844 + 0.164851i −0.00952294 + 0.0109901i
\(226\) −11.3748 + 11.9295i −0.756638 + 0.793539i
\(227\) −10.4549 14.6818i −0.693914 0.974465i −0.999750 0.0223812i \(-0.992875\pi\)
0.305836 0.952084i \(-0.401064\pi\)
\(228\) 1.80156 4.50008i 0.119311 0.298025i
\(229\) 9.33743 + 16.1729i 0.617035 + 1.06874i 0.990024 + 0.140900i \(0.0449995\pi\)
−0.372989 + 0.927836i \(0.621667\pi\)
\(230\) 15.8328 6.58500i 1.04399 0.434202i
\(231\) 17.0981 + 0.849051i 1.12497 + 0.0558634i
\(232\) 2.45612 + 17.0827i 0.161252 + 1.12153i
\(233\) −23.7226 + 2.26524i −1.55412 + 0.148401i −0.836474 0.548006i \(-0.815387\pi\)
−0.717647 + 0.696407i \(0.754781\pi\)
\(234\) −4.36430 1.05877i −0.285303 0.0692139i
\(235\) −19.8706 + 6.87727i −1.29621 + 0.448623i
\(236\) −0.549944 + 0.133415i −0.0357983 + 0.00868458i
\(237\) 2.24044 1.43985i 0.145532 0.0935280i
\(238\) −8.75612 1.27697i −0.567575 0.0827736i
\(239\) 8.52343 + 9.83657i 0.551335 + 0.636275i 0.961194 0.275874i \(-0.0889674\pi\)
−0.409859 + 0.912149i \(0.634422\pi\)
\(240\) 10.6885 + 0.509157i 0.689941 + 0.0328660i
\(241\) 14.1385 + 11.1187i 0.910744 + 0.716217i 0.959236 0.282607i \(-0.0911991\pi\)
−0.0484920 + 0.998824i \(0.515442\pi\)
\(242\) −39.6719 31.1984i −2.55021 2.00551i
\(243\) 0.998867 + 0.0475819i 0.0640774 + 0.00305238i
\(244\) 2.28378 + 2.63562i 0.146204 + 0.168728i
\(245\) 15.0188 + 2.95752i 0.959517 + 0.188949i
\(246\) −3.23211 + 2.07715i −0.206072 + 0.132434i
\(247\) −19.2101 + 4.66033i −1.22231 + 0.296529i
\(248\) −15.1484 + 5.24293i −0.961927 + 0.332926i
\(249\) 2.84083 + 0.689178i 0.180030 + 0.0436749i
\(250\) 18.5731 1.77351i 1.17466 0.112167i
\(251\) 2.75342 + 19.1505i 0.173795 + 1.20877i 0.870777 + 0.491679i \(0.163617\pi\)
−0.696982 + 0.717089i \(0.745474\pi\)
\(252\) −0.966410 + 1.49712i −0.0608781 + 0.0943094i
\(253\) −21.1124 + 22.7421i −1.32732 + 1.42978i
\(254\) −9.46588 16.3954i −0.593942 1.02874i
\(255\) 1.66241 4.15251i 0.104104 0.260040i
\(256\) 8.43223 + 11.8414i 0.527015 + 0.740088i
\(257\) −3.37137 + 3.53579i −0.210300 + 0.220557i −0.820433 0.571743i \(-0.806268\pi\)
0.610133 + 0.792299i \(0.291116\pi\)
\(258\) −5.22166 + 6.02612i −0.325086 + 0.375170i
\(259\) −2.71726 + 7.80007i −0.168842 + 0.484673i
\(260\) 2.18697 + 3.40300i 0.135630 + 0.211045i
\(261\) 4.61556 6.48164i 0.285696 0.401204i
\(262\) −4.84917 25.1599i −0.299583 1.55438i
\(263\) −3.87417 7.51484i −0.238892 0.463385i 0.738661 0.674077i \(-0.235459\pi\)
−0.977552 + 0.210692i \(0.932428\pi\)
\(264\) −13.0287 + 5.21589i −0.801859 + 0.321016i
\(265\) −11.1944 1.60951i −0.687666 0.0988714i
\(266\) −3.02205 + 30.9878i −0.185294 + 1.89998i
\(267\) −2.82596 + 2.44871i −0.172946 + 0.149858i
\(268\) 3.25002 + 2.31433i 0.198527 + 0.141370i
\(269\) 13.7842 0.656623i 0.840438 0.0400350i 0.377053 0.926192i \(-0.376938\pi\)
0.463386 + 0.886157i \(0.346634\pi\)
\(270\) −2.46739 2.58773i −0.150161 0.157484i
\(271\) −0.210610 + 1.09275i −0.0127937 + 0.0663798i −0.987764 0.155953i \(-0.950155\pi\)
0.974971 + 0.222333i \(0.0713672\pi\)
\(272\) 9.60383 2.81994i 0.582318 0.170984i
\(273\) 7.25921 0.331126i 0.439348 0.0200407i
\(274\) 29.5580 4.24979i 1.78566 0.256739i
\(275\) −1.22230 + 0.705697i −0.0737076 + 0.0425551i
\(276\) −0.951283 3.08678i −0.0572605 0.185802i
\(277\) 9.69977 16.8005i 0.582803 1.00944i −0.412343 0.911029i \(-0.635289\pi\)
0.995145 0.0984151i \(-0.0313773\pi\)
\(278\) 19.1821 + 24.3921i 1.15047 + 1.46294i
\(279\) 6.72290 + 3.07025i 0.402489 + 0.183811i
\(280\) −12.2008 + 2.93383i −0.729134 + 0.175330i
\(281\) −21.0553 18.2445i −1.25605 1.08838i −0.992309 0.123785i \(-0.960497\pi\)
−0.263745 0.964592i \(-0.584958\pi\)
\(282\) 3.70670 + 15.2792i 0.220731 + 0.909866i
\(283\) 0.898367 + 18.8590i 0.0534024 + 1.12105i 0.853469 + 0.521143i \(0.174494\pi\)
−0.800067 + 0.599911i \(0.795203\pi\)
\(284\) −0.986887 0.0942362i −0.0585609 0.00559189i
\(285\) −14.8726 5.14746i −0.880977 0.304909i
\(286\) −24.4452 15.7100i −1.44548 0.928952i
\(287\) 4.08061 4.69013i 0.240871 0.276850i
\(288\) 0.521340 3.62600i 0.0307202 0.213664i
\(289\) −0.609814 + 12.8016i −0.0358714 + 0.753033i
\(290\) −27.9366 + 5.38433i −1.64049 + 0.316179i
\(291\) 0.334324 3.50120i 0.0195984 0.205244i
\(292\) −1.07588 + 2.08691i −0.0629610 + 0.122127i
\(293\) 16.6287 + 4.88262i 0.971458 + 0.285246i 0.728694 0.684840i \(-0.240128\pi\)
0.242764 + 0.970085i \(0.421946\pi\)
\(294\) 3.26887 10.9689i 0.190645 0.639718i
\(295\) 0.517641 + 1.76292i 0.0301382 + 0.102641i
\(296\) −0.643645 6.74056i −0.0374111 0.391787i
\(297\) 6.00696 + 2.40482i 0.348559 + 0.139542i
\(298\) 17.2013 + 9.93117i 0.996444 + 0.575297i
\(299\) −8.00357 + 10.4617i −0.462858 + 0.605017i
\(300\) 0.146912i 0.00848196i
\(301\) 5.38348 11.7255i 0.310299 0.675849i
\(302\) 13.9858 30.6246i 0.804792 1.76225i
\(303\) −9.98278 9.51856i −0.573496 0.546827i
\(304\) −11.5187 33.2812i −0.660645 1.90881i
\(305\) 8.19482 7.81375i 0.469234 0.447414i
\(306\) −2.97272 1.53254i −0.169939 0.0876097i
\(307\) 14.4674 6.60705i 0.825699 0.377084i 0.0426855 0.999089i \(-0.486409\pi\)
0.783014 + 0.622004i \(0.213681\pi\)
\(308\) −9.07750 + 7.10904i −0.517239 + 0.405075i
\(309\) −2.07146 + 3.22325i −0.117841 + 0.183364i
\(310\) −9.82153 24.5330i −0.557826 1.39338i
\(311\) 14.5176 18.4607i 0.823219 1.04681i −0.174844 0.984596i \(-0.555942\pi\)
0.998063 0.0622117i \(-0.0198154\pi\)
\(312\) −5.29491 + 2.72971i −0.299765 + 0.154540i
\(313\) 7.76977 22.4493i 0.439173 1.26891i −0.480766 0.876849i \(-0.659641\pi\)
0.919940 0.392060i \(-0.128237\pi\)
\(314\) 0.562352 + 1.23138i 0.0317353 + 0.0694907i
\(315\) 5.00463 + 2.90290i 0.281979 + 0.163560i
\(316\) −0.505345 + 1.72105i −0.0284278 + 0.0968164i
\(317\) −12.6600 2.44001i −0.711055 0.137045i −0.179117 0.983828i \(-0.557324\pi\)
−0.531938 + 0.846783i \(0.678536\pi\)
\(318\) −1.99367 + 8.21802i −0.111799 + 0.460844i
\(319\) 41.9392 29.8647i 2.34814 1.67210i
\(320\) 6.52670 5.13265i 0.364853 0.286924i
\(321\) −1.16898 −0.0652459
\(322\) 11.4136 + 17.3252i 0.636057 + 0.965498i
\(323\) −14.7214 −0.819118
\(324\) −0.529414 + 0.416336i −0.0294119 + 0.0231298i
\(325\) −0.488019 + 0.347517i −0.0270704 + 0.0192768i
\(326\) 3.84353 15.8432i 0.212873 0.877475i
\(327\) 3.70864 + 0.714781i 0.205088 + 0.0395275i
\(328\) −1.43582 + 4.88996i −0.0792800 + 0.270003i
\(329\) −12.6759 22.0578i −0.698842 1.21609i
\(330\) −9.61073 21.0446i −0.529053 1.15847i
\(331\) −4.35256 + 12.5759i −0.239238 + 0.691234i 0.759912 + 0.650026i \(0.225242\pi\)
−0.999151 + 0.0412082i \(0.986879\pi\)
\(332\) −1.74996 + 0.902167i −0.0960415 + 0.0495128i
\(333\) −1.92984 + 2.45399i −0.105755 + 0.134478i
\(334\) −5.66399 14.1480i −0.309920 0.774142i
\(335\) 7.00356 10.8978i 0.382645 0.595408i
\(336\) 1.81666 + 12.8186i 0.0991070 + 0.699314i
\(337\) −2.38902 + 1.09103i −0.130138 + 0.0594322i −0.479420 0.877586i \(-0.659153\pi\)
0.349282 + 0.937018i \(0.386426\pi\)
\(338\) 7.92978 + 4.08809i 0.431323 + 0.222363i
\(339\) 7.29595 6.95667i 0.396262 0.377835i
\(340\) 0.985308 + 2.84686i 0.0534358 + 0.154393i
\(341\) 34.6102 + 33.0008i 1.87425 + 1.78709i
\(342\) −4.88854 + 10.7044i −0.264342 + 0.578828i
\(343\) −0.112058 + 18.5199i −0.00605054 + 0.999982i
\(344\) 10.5770i 0.570276i
\(345\) −9.86383 + 3.56200i −0.531051 + 0.191772i
\(346\) 35.1904 + 20.3172i 1.89185 + 1.09226i
\(347\) −20.5985 8.24639i −1.10578 0.442689i −0.254330 0.967118i \(-0.581855\pi\)
−0.851455 + 0.524428i \(0.824279\pi\)
\(348\) 0.509421 + 5.33490i 0.0273078 + 0.285981i
\(349\) −1.10338 3.75777i −0.0590627 0.201149i 0.924676 0.380755i \(-0.124336\pi\)
−0.983739 + 0.179606i \(0.942518\pi\)
\(350\) 0.264026 + 0.905944i 0.0141128 + 0.0484248i
\(351\) 2.63532 + 0.773800i 0.140663 + 0.0413024i
\(352\) 10.8614 21.0682i 0.578914 1.12294i
\(353\) 2.85316 29.8796i 0.151858 1.59033i −0.522966 0.852354i \(-0.675174\pi\)
0.674824 0.737979i \(-0.264219\pi\)
\(354\) 1.34901 0.260000i 0.0716988 0.0138188i
\(355\) −0.153157 + 3.21515i −0.00812870 + 0.170643i
\(356\) 0.358411 2.49280i 0.0189958 0.132118i
\(357\) 5.31191 + 1.03490i 0.281136 + 0.0547729i
\(358\) 11.0249 + 7.08527i 0.582684 + 0.374468i
\(359\) 21.1939 + 7.33529i 1.11857 + 0.387142i 0.822922 0.568154i \(-0.192342\pi\)
0.295651 + 0.955296i \(0.404464\pi\)
\(360\) −4.72142 0.450841i −0.248841 0.0237614i
\(361\) 1.56059 + 32.7608i 0.0821362 + 1.72425i
\(362\) −2.55997 10.5524i −0.134549 0.554619i
\(363\) 23.3275 + 20.2134i 1.22438 + 1.06093i
\(364\) −3.54893 + 3.37026i −0.186014 + 0.176649i
\(365\) 6.93432 + 3.16680i 0.362959 + 0.165758i
\(366\) −5.23363 6.65510i −0.273566 0.347867i
\(367\) 6.99731 12.1197i 0.365257 0.632643i −0.623561 0.781775i \(-0.714315\pi\)
0.988817 + 0.149132i \(0.0476479\pi\)
\(368\) −19.9100 12.4231i −1.03788 0.647601i
\(369\) 2.03493 1.17487i 0.105934 0.0611611i
\(370\) 11.0489 1.58859i 0.574404 0.0825868i
\(371\) −0.623514 13.6692i −0.0323712 0.709668i
\(372\) −4.77613 + 1.40240i −0.247631 + 0.0727110i
\(373\) −3.91655 + 20.3210i −0.202791 + 1.05218i 0.727708 + 0.685887i \(0.240586\pi\)
−0.930499 + 0.366294i \(0.880627\pi\)
\(374\) −14.9336 15.6620i −0.772200 0.809860i
\(375\) −11.3978 + 0.542945i −0.588581 + 0.0280375i
\(376\) 16.9885 + 12.0975i 0.876116 + 0.623879i
\(377\) 16.5167 14.3118i 0.850654 0.737096i
\(378\) 2.51645 3.51881i 0.129432 0.180988i
\(379\) −16.6017 2.38696i −0.852772 0.122610i −0.297952 0.954581i \(-0.596304\pi\)
−0.554819 + 0.831971i \(0.687213\pi\)
\(380\) 9.84054 3.93956i 0.504809 0.202095i
\(381\) 5.30555 + 10.2913i 0.271812 + 0.527241i
\(382\) 0.762844 + 3.95801i 0.0390305 + 0.202509i
\(383\) 14.4455 20.2858i 0.738130 1.03656i −0.259362 0.965780i \(-0.583512\pi\)
0.997492 0.0707783i \(-0.0225483\pi\)
\(384\) −7.31759 11.3864i −0.373424 0.581059i
\(385\) 24.4579 + 28.3412i 1.24649 + 1.44440i
\(386\) −27.9944 + 32.3072i −1.42488 + 1.64439i
\(387\) 3.36525 3.52938i 0.171065 0.179408i
\(388\) 1.37405 + 1.92958i 0.0697567 + 0.0979595i
\(389\) 9.75994 24.3791i 0.494848 1.23607i −0.445323 0.895370i \(-0.646911\pi\)
0.940171 0.340702i \(-0.110665\pi\)
\(390\) −4.91023 8.50477i −0.248639 0.430656i
\(391\) −7.62933 + 6.16631i −0.385832 + 0.311844i
\(392\) −6.25128 13.8358i −0.315737 0.698814i
\(393\) 2.23017 + 15.5112i 0.112497 + 0.782435i
\(394\) −1.62088 + 0.154775i −0.0816586 + 0.00779746i
\(395\) 5.65963 + 1.37301i 0.284767 + 0.0690837i
\(396\) −4.11823 + 1.42533i −0.206949 + 0.0716256i
\(397\) −27.6395 + 6.70528i −1.38719 + 0.336528i −0.858729 0.512430i \(-0.828745\pi\)
−0.528460 + 0.848958i \(0.677230\pi\)
\(398\) 7.12769 4.58069i 0.357279 0.229609i
\(399\) 2.74792 18.8424i 0.137568 0.943298i
\(400\) −0.698994 0.806682i −0.0349497 0.0403341i
\(401\) −8.53499 0.406572i −0.426217 0.0203032i −0.166622 0.986021i \(-0.553286\pi\)
−0.259595 + 0.965718i \(0.583589\pi\)
\(402\) −7.61384 5.98759i −0.379744 0.298634i
\(403\) 15.9564 + 12.5482i 0.794845 + 0.625073i
\(404\) 9.27948 + 0.442036i 0.461672 + 0.0219921i
\(405\) 1.43202 + 1.65263i 0.0711574 + 0.0821201i
\(406\) −12.7291 31.9826i −0.631735 1.58727i
\(407\) −16.9935 + 10.9211i −0.842337 + 0.541337i
\(408\) −4.31140 + 1.04594i −0.213446 + 0.0517815i
\(409\) 1.01530 0.351400i 0.0502035 0.0173756i −0.301851 0.953355i \(-0.597604\pi\)
0.352054 + 0.935980i \(0.385483\pi\)
\(410\) −8.16470 1.98073i −0.403226 0.0978215i
\(411\) −18.1805 + 1.73603i −0.896778 + 0.0856319i
\(412\) −0.367249 2.55427i −0.0180931 0.125840i
\(413\) −1.97794 + 1.01466i −0.0973282 + 0.0499280i
\(414\) 1.95026 + 7.59521i 0.0958499 + 0.373284i
\(415\) 3.19619 + 5.53595i 0.156895 + 0.271749i
\(416\) 3.73948 9.34077i 0.183343 0.457969i
\(417\) −11.0085 15.4592i −0.539086 0.757041i
\(418\) −52.5449 + 55.1075i −2.57005 + 2.69539i
\(419\) −3.97841 + 4.59133i −0.194358 + 0.224301i −0.844561 0.535459i \(-0.820138\pi\)
0.650203 + 0.759761i \(0.274684\pi\)
\(420\) −3.82771 + 0.729728i −0.186773 + 0.0356071i
\(421\) −1.37123 2.13367i −0.0668295 0.103989i 0.806230 0.591602i \(-0.201504\pi\)
−0.873060 + 0.487613i \(0.837868\pi\)
\(422\) 4.70077 6.60131i 0.228830 0.321347i
\(423\) −1.81977 9.44189i −0.0884805 0.459080i
\(424\) 5.14008 + 9.97036i 0.249624 + 0.484203i
\(425\) −0.414214 + 0.165826i −0.0200924 + 0.00804376i
\(426\) 2.38228 + 0.342520i 0.115422 + 0.0165951i
\(427\) 11.1434 + 7.96909i 0.539266 + 0.385651i
\(428\) 0.595014 0.515582i 0.0287611 0.0249216i
\(429\) 14.4763 + 10.3085i 0.698923 + 0.497701i
\(430\) −17.4167 + 0.829661i −0.839909 + 0.0400098i
\(431\) −7.07368 7.41867i −0.340727 0.357345i 0.530969 0.847391i \(-0.321828\pi\)
−0.871696 + 0.490047i \(0.836980\pi\)
\(432\) −0.926083 + 4.80497i −0.0445562 + 0.231179i
\(433\) −9.03316 + 2.65237i −0.434106 + 0.127465i −0.491482 0.870888i \(-0.663545\pi\)
0.0573763 + 0.998353i \(0.481727\pi\)
\(434\) 26.9320 17.2315i 1.29278 0.827140i
\(435\) 17.2230 2.47630i 0.825781 0.118729i
\(436\) −2.20297 + 1.27189i −0.105503 + 0.0609123i
\(437\) 22.9492 + 25.7815i 1.09781 + 1.23330i
\(438\) 2.85003 4.93640i 0.136180 0.235870i
\(439\) −12.9324 16.4449i −0.617232 0.784874i 0.372466 0.928046i \(-0.378512\pi\)
−0.989698 + 0.143172i \(0.954270\pi\)
\(440\) −27.9154 12.7485i −1.33082 0.607763i
\(441\) −2.31614 + 6.60572i −0.110292 + 0.314558i
\(442\) −6.94228 6.01552i −0.330211 0.286129i
\(443\) −2.80524 11.5633i −0.133281 0.549391i −0.998821 0.0485512i \(-0.984540\pi\)
0.865540 0.500840i \(-0.166976\pi\)
\(444\) −0.100048 2.10026i −0.00474805 0.0996739i
\(445\) −8.13984 0.777260i −0.385865 0.0368457i
\(446\) −25.3819 8.78477i −1.20187 0.415971i
\(447\) −10.2192 6.56747i −0.483351 0.310631i
\(448\) 7.57895 + 6.59401i 0.358072 + 0.311538i
\(449\) −2.08414 + 14.4955i −0.0983566 + 0.684085i 0.879667 + 0.475590i \(0.157765\pi\)
−0.978024 + 0.208495i \(0.933144\pi\)
\(450\) −0.0169706 + 0.356256i −0.000800000 + 0.0167941i
\(451\) 14.9291 2.87734i 0.702983 0.135489i
\(452\) −0.645396 + 6.75889i −0.0303569 + 0.317911i
\(453\) −9.43505 + 18.3014i −0.443297 + 0.859877i
\(454\) −28.2768 8.30282i −1.32710 0.389671i
\(455\) 11.4784 + 10.9889i 0.538117 + 0.515169i
\(456\) 4.39783 + 14.9776i 0.205947 + 0.701392i
\(457\) 3.02879 + 31.7189i 0.141681 + 1.48375i 0.734608 + 0.678492i \(0.237366\pi\)
−0.592927 + 0.805256i \(0.702028\pi\)
\(458\) 28.3477 + 11.3487i 1.32460 + 0.530291i
\(459\) 1.77142 + 1.02273i 0.0826829 + 0.0477370i
\(460\) 3.44970 6.16356i 0.160843 0.287378i
\(461\) 15.1766i 0.706847i 0.935463 + 0.353423i \(0.114982\pi\)
−0.935463 + 0.353423i \(0.885018\pi\)
\(462\) 22.8338 16.1906i 1.06233 0.753254i
\(463\) −7.89341 + 17.2841i −0.366838 + 0.803262i 0.632745 + 0.774361i \(0.281928\pi\)
−0.999582 + 0.0289019i \(0.990799\pi\)
\(464\) 28.1802 + 26.8697i 1.30823 + 1.24740i
\(465\) 5.28601 + 15.2729i 0.245133 + 0.708265i
\(466\) −28.2003 + 26.8889i −1.30635 + 1.24561i
\(467\) 6.28230 + 3.23875i 0.290710 + 0.149872i 0.597413 0.801934i \(-0.296195\pi\)
−0.306703 + 0.951805i \(0.599226\pi\)
\(468\) −1.68268 + 0.768454i −0.0777819 + 0.0355218i
\(469\) 14.5388 + 5.85451i 0.671340 + 0.270336i
\(470\) −18.5878 + 28.9231i −0.857390 + 1.33413i
\(471\) −0.307704 0.768608i −0.0141783 0.0354156i
\(472\) 1.12652 1.43248i 0.0518522 0.0659354i
\(473\) 28.0463 14.4588i 1.28957 0.664819i
\(474\) 1.42425 4.11510i 0.0654179 0.189013i
\(475\) 0.652157 + 1.42802i 0.0299230 + 0.0655222i
\(476\) −3.16023 + 1.81607i −0.144849 + 0.0832396i
\(477\) 1.45707 4.96234i 0.0667148 0.227210i
\(478\) 20.8971 + 4.02759i 0.955812 + 0.184218i
\(479\) −2.85723 + 11.7777i −0.130550 + 0.538135i 0.868545 + 0.495610i \(0.165055\pi\)
−0.999095 + 0.0425250i \(0.986460\pi\)
\(480\) 6.52531 4.64665i 0.297838 0.212090i
\(481\) −6.74009 + 5.30046i −0.307321 + 0.241680i
\(482\) 29.4099 1.33958
\(483\) −6.46836 10.9161i −0.294321 0.496698i
\(484\) −20.7890 −0.944956
\(485\) 6.04558 4.75430i 0.274516 0.215882i
\(486\) 1.33190 0.948443i 0.0604163 0.0430223i
\(487\) −0.924031 + 3.80891i −0.0418718 + 0.172598i −0.988908 0.148528i \(-0.952546\pi\)
0.947036 + 0.321127i \(0.104061\pi\)
\(488\) −11.0277 2.12542i −0.499203 0.0962134i
\(489\) −2.80904 + 9.56671i −0.127029 + 0.432622i
\(490\) 22.2925 11.3790i 1.00707 0.514050i
\(491\) 10.9207 + 23.9130i 0.492843 + 1.07918i 0.978730 + 0.205154i \(0.0657697\pi\)
−0.485886 + 0.874022i \(0.661503\pi\)
\(492\) −0.517607 + 1.49553i −0.0233355 + 0.0674235i
\(493\) 14.4666 7.45805i 0.651543 0.335894i
\(494\) −19.9797 + 25.4063i −0.898929 + 1.14308i
\(495\) 5.25875 + 13.1357i 0.236363 + 0.590406i
\(496\) −19.5529 + 30.4249i −0.877950 + 1.36612i
\(497\) −3.85590 + 0.546459i −0.172961 + 0.0245120i
\(498\) 4.34780 1.98557i 0.194830 0.0889757i
\(499\) 28.6469 + 14.7685i 1.28241 + 0.661129i 0.958536 0.284971i \(-0.0919839\pi\)
0.323875 + 0.946100i \(0.395014\pi\)
\(500\) 5.56207 5.30342i 0.248743 0.237176i
\(501\) 3.04839 + 8.80775i 0.136192 + 0.393501i
\(502\) 22.8951 + 21.8304i 1.02186 + 0.974340i
\(503\) −7.20153 + 15.7692i −0.321101 + 0.703112i −0.999501 0.0315800i \(-0.989946\pi\)
0.678401 + 0.734692i \(0.262673\pi\)
\(504\) −0.533951 5.71355i −0.0237841 0.254502i
\(505\) 30.1628i 1.34223i
\(506\) −4.14856 + 50.5688i −0.184426 + 2.24806i
\(507\) −4.72530 2.72815i −0.209858 0.121162i
\(508\) −7.23959 2.89830i −0.321205 0.128591i
\(509\) 2.41299 + 25.2700i 0.106954 + 1.12007i 0.876474 + 0.481450i \(0.159890\pi\)
−0.769520 + 0.638623i \(0.779504\pi\)
\(510\) −2.06048 7.01735i −0.0912396 0.310734i
\(511\) −2.19256 + 8.95894i −0.0969930 + 0.396320i
\(512\) −3.16723 0.929984i −0.139973 0.0410999i
\(513\) 3.29789 6.39702i 0.145605 0.282435i
\(514\) −0.759326 + 7.95202i −0.0334924 + 0.350749i
\(515\) −8.22708 + 1.58564i −0.362529 + 0.0698717i
\(516\) −0.156280 + 3.28073i −0.00687986 + 0.144426i
\(517\) 8.85449 61.5843i 0.389420 2.70848i
\(518\) 4.39147 + 12.7716i 0.192950 + 0.561153i
\(519\) −20.9064 13.4357i −0.917690 0.589763i
\(520\) −12.3103 4.26063i −0.539842 0.186841i
\(521\) −43.6571 4.16875i −1.91265 0.182636i −0.929932 0.367730i \(-0.880135\pi\)
−0.982721 + 0.185094i \(0.940741\pi\)
\(522\) −0.619065 12.9958i −0.0270957 0.568810i
\(523\) −9.48106 39.0815i −0.414578 1.70891i −0.670237 0.742147i \(-0.733808\pi\)
0.255659 0.966767i \(-0.417707\pi\)
\(524\) −7.97644 6.91162i −0.348452 0.301936i
\(525\) −0.134929 0.561121i −0.00588877 0.0244893i
\(526\) −12.5749 5.74277i −0.548292 0.250397i
\(527\) 9.34507 + 11.8832i 0.407078 + 0.517641i
\(528\) −15.8313 + 27.4206i −0.688967 + 1.19333i
\(529\) 22.6925 + 3.74852i 0.986630 + 0.162979i
\(530\) −16.0146 + 9.24601i −0.695628 + 0.401621i
\(531\) −0.831668 + 0.119576i −0.0360913 + 0.00518915i
\(532\) 6.91181 + 10.8028i 0.299665 + 0.468362i
\(533\) 6.19230 1.81822i 0.268218 0.0787560i
\(534\) −1.15709 + 6.00356i −0.0500722 + 0.259799i
\(535\) −1.76402 1.85005i −0.0762652 0.0799846i
\(536\) −12.8341 + 0.611362i −0.554347 + 0.0264068i
\(537\) −6.52888 4.64919i −0.281742 0.200628i
\(538\) 17.0527 14.7762i 0.735194 0.637049i
\(539\) −28.1418 + 35.4896i −1.21215 + 1.52865i
\(540\) −1.45780 0.209601i −0.0627339 0.00901978i
\(541\) 1.00055 0.400558i 0.0430168 0.0172213i −0.350054 0.936729i \(-0.613837\pi\)
0.393071 + 0.919508i \(0.371413\pi\)
\(542\) 0.833800 + 1.61735i 0.0358148 + 0.0694710i
\(543\) 1.25680 + 6.52088i 0.0539343 + 0.279838i
\(544\) 4.34643 6.10371i 0.186352 0.261694i
\(545\) 4.46521 + 6.94801i 0.191269 + 0.297620i
\(546\) 8.99533 7.76279i 0.384965 0.332217i
\(547\) −18.2965 + 21.1153i −0.782303 + 0.902826i −0.997273 0.0737947i \(-0.976489\pi\)
0.214970 + 0.976621i \(0.431034\pi\)
\(548\) 8.48827 8.90224i 0.362601 0.380285i
\(549\) 3.00353 + 4.21787i 0.128188 + 0.180014i
\(550\) −0.857704 + 2.14244i −0.0365726 + 0.0913540i
\(551\) −28.6338 49.5953i −1.21984 2.11283i
\(552\) 8.55283 + 5.92003i 0.364033 + 0.251973i
\(553\) −0.349467 + 7.03754i −0.0148608 + 0.299267i
\(554\) −4.51422 31.3971i −0.191791 1.33393i
\(555\) −6.79594 + 0.648934i −0.288472 + 0.0275457i
\(556\) 12.4217 + 3.01347i 0.526798 + 0.127800i
\(557\) 26.4046 9.13872i 1.11880 0.387220i 0.295792 0.955252i \(-0.404416\pi\)
0.823006 + 0.568032i \(0.192295\pi\)
\(558\) 11.7439 2.84905i 0.497161 0.120610i
\(559\) 11.2678 7.24135i 0.476576 0.306277i
\(560\) −17.5457 + 22.2188i −0.741441 + 0.938916i
\(561\) 8.66713 + 10.0024i 0.365926 + 0.422301i
\(562\) −45.5022 2.16754i −1.91939 0.0914320i
\(563\) 5.93997 + 4.67124i 0.250340 + 0.196869i 0.735441 0.677588i \(-0.236975\pi\)
−0.485101 + 0.874458i \(0.661217\pi\)
\(564\) 5.09066 + 4.00334i 0.214356 + 0.168571i
\(565\) 22.0196 + 1.04892i 0.926372 + 0.0441285i
\(566\) 20.2163 + 23.3309i 0.849755 + 0.980669i
\(567\) −1.63969 + 2.07640i −0.0688603 + 0.0872005i
\(568\) 2.68576 1.72603i 0.112692 0.0724226i
\(569\) −13.0179 + 3.15811i −0.545739 + 0.132395i −0.499144 0.866519i \(-0.666352\pi\)
−0.0465950 + 0.998914i \(0.514837\pi\)
\(570\) −24.3180 + 8.41655i −1.01857 + 0.352530i
\(571\) −36.2646 8.79771i −1.51763 0.368173i −0.611523 0.791226i \(-0.709443\pi\)
−0.906105 + 0.423054i \(0.860958\pi\)
\(572\) −11.9151 + 1.13776i −0.498197 + 0.0475720i
\(573\) −0.350838 2.44013i −0.0146565 0.101938i
\(574\) 0.504148 10.1525i 0.0210427 0.423758i
\(575\) 0.936134 + 0.466905i 0.0390395 + 0.0194713i
\(576\) 1.89851 + 3.28831i 0.0791045 + 0.137013i
\(577\) −4.89359 + 12.2236i −0.203723 + 0.508875i −0.994682 0.102994i \(-0.967158\pi\)
0.790959 + 0.611869i \(0.209582\pi\)
\(578\) 12.1553 + 17.0698i 0.505595 + 0.710009i
\(579\) 18.0418 18.9217i 0.749791 0.786358i
\(580\) −7.67441 + 8.85674i −0.318663 + 0.367756i
\(581\) −5.85528 + 5.05299i −0.242918 + 0.209633i
\(582\) −3.10912 4.83788i −0.128877 0.200537i
\(583\) 19.4111 27.2590i 0.803924 1.12895i
\(584\) −1.43094 7.42445i −0.0592129 0.307226i
\(585\) 2.75214 + 5.33841i 0.113787 + 0.220716i
\(586\) 26.3073 10.5319i 1.08675 0.435068i
\(587\) 21.3616 + 3.07133i 0.881687 + 0.126767i 0.568264 0.822846i \(-0.307615\pi\)
0.313423 + 0.949614i \(0.398524\pi\)
\(588\) −1.73456 4.38388i −0.0715319 0.180788i
\(589\) 40.1999 34.8334i 1.65641 1.43529i
\(590\) 2.44717 + 1.74262i 0.100748 + 0.0717426i
\(591\) 0.994691 0.0473830i 0.0409161 0.00194908i
\(592\) −10.5422 11.0563i −0.433282 0.454413i
\(593\) 3.63902 18.8810i 0.149437 0.775351i −0.827441 0.561553i \(-0.810204\pi\)
0.976878 0.213799i \(-0.0685836\pi\)
\(594\) 10.1512 2.98066i 0.416509 0.122298i
\(595\) 6.37797 + 9.96846i 0.261471 + 0.408667i
\(596\) 8.09822 1.16435i 0.331716 0.0476936i
\(597\) −4.48758 + 2.59090i −0.183664 + 0.106039i
\(598\) 0.287413 + 21.5357i 0.0117532 + 0.880658i
\(599\) 5.88797 10.1983i 0.240576 0.416689i −0.720303 0.693660i \(-0.755997\pi\)
0.960878 + 0.276970i \(0.0893304\pi\)
\(600\) 0.292455 + 0.371887i 0.0119394 + 0.0151822i
\(601\) −17.5792 8.02814i −0.717069 0.327475i 0.0232502 0.999730i \(-0.492599\pi\)
−0.740320 + 0.672255i \(0.765326\pi\)
\(602\) −4.93231 20.5117i −0.201026 0.835996i
\(603\) 4.47702 + 3.87936i 0.182318 + 0.157980i
\(604\) −3.26946 13.4769i −0.133032 0.548367i
\(605\) 3.21167 + 67.4213i 0.130573 + 2.74107i
\(606\) −22.4513 2.14384i −0.912023 0.0870877i
\(607\) −20.1302 6.96712i −0.817058 0.282787i −0.113603 0.993526i \(-0.536239\pi\)
−0.703455 + 0.710740i \(0.748360\pi\)
\(608\) −22.1796 14.2540i −0.899502 0.578075i
\(609\) 6.84544 + 19.9084i 0.277391 + 0.806730i
\(610\) 2.63482 18.3256i 0.106681 0.741982i
\(611\) 1.25665 26.3802i 0.0508384 1.06723i
\(612\) −1.35274 + 0.260720i −0.0546814 + 0.0105390i
\(613\) −1.91519 + 20.0567i −0.0773536 + 0.810084i 0.870667 + 0.491874i \(0.163688\pi\)
−0.948020 + 0.318210i \(0.896918\pi\)
\(614\) 11.9164 23.1147i 0.480908 0.932832i
\(615\) 4.93014 + 1.44762i 0.198802 + 0.0583736i
\(616\) 8.82656 36.0659i 0.355632 1.45314i
\(617\) 0.506389 + 1.72460i 0.0203864 + 0.0694298i 0.969058 0.246833i \(-0.0793900\pi\)
−0.948672 + 0.316263i \(0.897572\pi\)
\(618\) 0.595508 + 6.23644i 0.0239548 + 0.250866i
\(619\) 14.3657 + 5.75116i 0.577406 + 0.231159i 0.641937 0.766757i \(-0.278131\pi\)
−0.0645310 + 0.997916i \(0.520555\pi\)
\(620\) −9.42679 5.44256i −0.378589 0.218579i
\(621\) −0.970379 4.69663i −0.0389400 0.188469i
\(622\) 38.4004i 1.53972i
\(623\) −0.920544 9.85028i −0.0368808 0.394643i
\(624\) −5.58323 + 12.2256i −0.223508 + 0.489414i
\(625\) −17.2696 16.4665i −0.690783 0.658660i
\(626\) −12.7043 36.7065i −0.507764 1.46709i
\(627\) 33.7031 32.1358i 1.34597 1.28338i
\(628\) 0.495621 + 0.255511i 0.0197774 + 0.0101960i
\(629\) −5.80870 + 2.65274i −0.231608 + 0.105772i
\(630\) 9.36636 1.32740i 0.373165 0.0528850i
\(631\) 14.2324 22.1460i 0.566582 0.881618i −0.433225 0.901286i \(-0.642624\pi\)
0.999807 + 0.0196674i \(0.00626074\pi\)
\(632\) −2.14685 5.36256i −0.0853969 0.213311i
\(633\) −3.06378 + 3.89592i −0.121774 + 0.154849i
\(634\) −18.7376 + 9.65992i −0.744167 + 0.383645i
\(635\) −8.28109 + 23.9266i −0.328625 + 0.949499i
\(636\) 1.44701 + 3.16850i 0.0573775 + 0.125639i
\(637\) −10.4595 + 16.1319i −0.414422 + 0.639170i
\(638\) 23.7173 80.7738i 0.938978 3.19787i
\(639\) −1.44536 0.278569i −0.0571774 0.0110200i
\(640\) 6.97792 28.7634i 0.275827 1.13697i
\(641\) −22.1434 + 15.7682i −0.874610 + 0.622807i −0.926686 0.375836i \(-0.877356\pi\)
0.0520760 + 0.998643i \(0.483416\pi\)
\(642\) −1.50244 + 1.18153i −0.0592967 + 0.0466315i
\(643\) 28.8952 1.13952 0.569758 0.821813i \(-0.307037\pi\)
0.569758 + 0.821813i \(0.307037\pi\)
\(644\) 8.10700 + 2.70342i 0.319461 + 0.106530i
\(645\) 10.6639 0.419892
\(646\) −18.9208 + 14.8795i −0.744431 + 0.585427i
\(647\) −0.873415 + 0.621956i −0.0343375 + 0.0244516i −0.597097 0.802169i \(-0.703679\pi\)
0.562759 + 0.826621i \(0.309740\pi\)
\(648\) 0.511344 2.10779i 0.0200875 0.0828018i
\(649\) −5.33836 1.02888i −0.209549 0.0403872i
\(650\) −0.275984 + 0.939914i −0.0108250 + 0.0368665i
\(651\) −16.9541 + 9.74292i −0.664484 + 0.381855i
\(652\) −2.78963 6.10844i −0.109250 0.239225i
\(653\) 5.63418 16.2789i 0.220483 0.637042i −0.779461 0.626450i \(-0.784507\pi\)
0.999944 0.0105921i \(-0.00337163\pi\)
\(654\) 5.48904 2.82980i 0.214639 0.110654i
\(655\) −21.1830 + 26.9363i −0.827687 + 1.05249i
\(656\) 4.27344 + 10.6745i 0.166850 + 0.416771i
\(657\) −1.88472 + 2.93269i −0.0735301 + 0.114415i
\(658\) −38.5867 15.5381i −1.50426 0.605740i
\(659\) −40.7897 + 18.6280i −1.58894 + 0.725645i −0.996781 0.0801747i \(-0.974452\pi\)
−0.592161 + 0.805820i \(0.701725\pi\)
\(660\) −8.47029 4.36674i −0.329706 0.169975i
\(661\) −17.4252 + 16.6149i −0.677760 + 0.646243i −0.948635 0.316371i \(-0.897535\pi\)
0.270875 + 0.962614i \(0.412687\pi\)
\(662\) 7.11682 + 20.5627i 0.276603 + 0.799192i
\(663\) 4.06595 + 3.87688i 0.157909 + 0.150566i
\(664\) 2.63385 5.76732i 0.102213 0.223815i
\(665\) 33.9671 24.0847i 1.31719 0.933966i
\(666\) 5.10461i 0.197800i
\(667\) −35.6134 13.7089i −1.37896 0.530811i
\(668\) −5.43635 3.13868i −0.210339 0.121439i
\(669\) 15.2501 + 6.10520i 0.589602 + 0.236041i
\(670\) −2.01340 21.0853i −0.0777845 0.814597i
\(671\) 9.43916 + 32.1468i 0.364395 + 1.24101i
\(672\) 7.00103 + 6.70248i 0.270071 + 0.258554i
\(673\) −27.8307 8.17184i −1.07280 0.315001i −0.302802 0.953053i \(-0.597922\pi\)
−0.769993 + 0.638052i \(0.779740\pi\)
\(674\) −1.96777 + 3.81695i −0.0757958 + 0.147023i
\(675\) 0.0207345 0.217141i 0.000798071 0.00835777i
\(676\) 3.60846 0.695475i 0.138787 0.0267490i
\(677\) −1.74457 + 36.6229i −0.0670491 + 1.40753i 0.675311 + 0.737533i \(0.264009\pi\)
−0.742360 + 0.670001i \(0.766294\pi\)
\(678\) 2.34582 16.3155i 0.0900905 0.626593i
\(679\) 7.02027 + 6.10793i 0.269413 + 0.234401i
\(680\) −8.16136 5.24499i −0.312974 0.201136i
\(681\) 17.0326 + 5.89503i 0.652689 + 0.225898i
\(682\) 77.8387 + 7.43269i 2.98060 + 0.284612i
\(683\) −0.716517 15.0415i −0.0274168 0.575549i −0.970224 0.242210i \(-0.922128\pi\)
0.942807 0.333339i \(-0.108175\pi\)
\(684\) 1.14279 + 4.71066i 0.0436958 + 0.180117i
\(685\) −30.1824 26.1532i −1.15321 0.999262i
\(686\) 18.5749 + 23.9163i 0.709192 + 0.913127i
\(687\) −16.9872 7.75781i −0.648104 0.295979i
\(688\) 14.7513 + 18.7578i 0.562388 + 0.715134i
\(689\) 7.10242 12.3018i 0.270581 0.468659i
\(690\) −9.07737 + 14.5479i −0.345570 + 0.553830i
\(691\) 25.0417 14.4578i 0.952630 0.550001i 0.0587333 0.998274i \(-0.481294\pi\)
0.893897 + 0.448272i \(0.147961\pi\)
\(692\) 16.5674 2.38203i 0.629796 0.0905510i
\(693\) −14.4202 + 9.22628i −0.547779 + 0.350477i
\(694\) −34.8095 + 10.2210i −1.32135 + 0.387983i
\(695\) 7.85404 40.7506i 0.297921 1.54576i
\(696\) −11.9096 12.4904i −0.451433 0.473449i
\(697\) 4.80085 0.228692i 0.181845 0.00866234i
\(698\) −5.21628 3.71450i −0.197439 0.140596i
\(699\) 18.0099 15.6057i 0.681198 0.590261i
\(700\) 0.316164 + 0.226102i 0.0119499 + 0.00854585i
\(701\) −48.7795 7.01344i −1.84238 0.264894i −0.869118 0.494604i \(-0.835313\pi\)
−0.973259 + 0.229711i \(0.926222\pi\)
\(702\) 4.16920 1.66910i 0.157356 0.0629960i
\(703\) 10.2957 + 19.9710i 0.388312 + 0.753219i
\(704\) 4.64960 + 24.1244i 0.175239 + 0.909224i
\(705\) 12.1969 17.1281i 0.459361 0.645082i
\(706\) −26.5336 41.2871i −0.998605 1.55386i
\(707\) 35.8484 6.83425i 1.34822 0.257028i
\(708\) 0.370583 0.427676i 0.0139274 0.0160730i
\(709\) 23.1645 24.2942i 0.869960 0.912387i −0.126873 0.991919i \(-0.540494\pi\)
0.996832 + 0.0795315i \(0.0253424\pi\)
\(710\) 3.05285 + 4.28712i 0.114571 + 0.160893i
\(711\) −0.989819 + 2.47245i −0.0371211 + 0.0927240i
\(712\) 4.05511 + 7.02366i 0.151972 + 0.263223i
\(713\) 6.24295 34.8909i 0.233800 1.30667i
\(714\) 7.87324 4.03886i 0.294648 0.151150i
\(715\) 5.53064 + 38.4665i 0.206834 + 1.43856i
\(716\) 5.37378 0.513133i 0.200827 0.0191767i
\(717\) −12.6488 3.06855i −0.472376 0.114597i
\(718\) 34.6539 11.9938i 1.29327 0.447606i
\(719\) 45.0585 10.9311i 1.68040 0.407660i 0.721728 0.692177i \(-0.243348\pi\)
0.958671 + 0.284516i \(0.0918330\pi\)
\(720\) −9.00196 + 5.78521i −0.335483 + 0.215602i
\(721\) −3.74861 9.41859i −0.139606 0.350767i
\(722\) 35.1185 + 40.5289i 1.30698 + 1.50833i
\(723\) −17.9664 0.855844i −0.668177 0.0318292i
\(724\) −3.51578 2.76484i −0.130663 0.102754i
\(725\) −1.36433 1.07292i −0.0506699 0.0398472i
\(726\) 50.4126 + 2.40145i 1.87099 + 0.0891261i
\(727\) −0.169304 0.195387i −0.00627914 0.00724652i 0.752601 0.658476i \(-0.228799\pi\)
−0.758880 + 0.651230i \(0.774253\pi\)
\(728\) 2.27450 15.5961i 0.0842984 0.578030i
\(729\) −0.841254 + 0.540641i −0.0311575 + 0.0200237i
\(730\) 12.1133 2.93864i 0.448332 0.108764i
\(731\) 9.42633 3.26249i 0.348646 0.120667i
\(732\) −3.38912 0.822192i −0.125266 0.0303891i
\(733\) −22.9162 + 2.18824i −0.846431 + 0.0808243i −0.509253 0.860617i \(-0.670078\pi\)
−0.337178 + 0.941441i \(0.609472\pi\)
\(734\) −3.25651 22.6495i −0.120200 0.836009i
\(735\) −13.9495 + 6.30264i −0.514535 + 0.232476i
\(736\) −17.4651 + 1.90323i −0.643772 + 0.0701539i
\(737\) 19.1653 + 33.1953i 0.705963 + 1.22276i
\(738\) 1.42793 3.56680i 0.0525629 0.131296i
\(739\) 18.4092 + 25.8522i 0.677195 + 0.950987i 0.999990 + 0.00451810i \(0.00143816\pi\)
−0.322795 + 0.946469i \(0.604622\pi\)
\(740\) 3.17295 3.32769i 0.116640 0.122328i
\(741\) 12.9449 14.9392i 0.475541 0.548804i
\(742\) −14.6174 16.9383i −0.536622 0.621824i
\(743\) −15.5695 24.2267i −0.571191 0.888790i 0.428702 0.903446i \(-0.358971\pi\)
−0.999893 + 0.0146559i \(0.995335\pi\)
\(744\) 9.29836 13.0577i 0.340895 0.478719i
\(745\) −5.02721 26.0836i −0.184183 0.955631i
\(746\) 15.5055 + 30.0765i 0.567697 + 1.10118i
\(747\) −2.71383 + 1.08645i −0.0992940 + 0.0397513i
\(748\) −8.82321 1.26859i −0.322608 0.0463841i
\(749\) 1.79909 2.51571i 0.0657373 0.0919221i
\(750\) −14.1004 + 12.2181i −0.514875 + 0.446142i
\(751\) 2.15652 + 1.53565i 0.0786925 + 0.0560366i 0.618726 0.785607i \(-0.287649\pi\)
−0.540034 + 0.841643i \(0.681588\pi\)
\(752\) 47.0000 2.23889i 1.71391 0.0816437i
\(753\) −13.3512 14.0024i −0.486546 0.510275i
\(754\) 6.76278 35.0886i 0.246286 1.27785i
\(755\) −43.2021 + 12.6853i −1.57228 + 0.461664i
\(756\) −0.0811980 1.78009i −0.00295314 0.0647411i
\(757\) 31.6286 4.54751i 1.14956 0.165282i 0.458919 0.888478i \(-0.348237\pi\)
0.690643 + 0.723196i \(0.257328\pi\)
\(758\) −23.7502 + 13.7122i −0.862645 + 0.498049i
\(759\) 4.00592 30.7715i 0.145406 1.11694i
\(760\) −17.0675 + 29.5618i −0.619104 + 1.07232i
\(761\) −17.7874 22.6185i −0.644793 0.819920i 0.348284 0.937389i \(-0.386764\pi\)
−0.993077 + 0.117469i \(0.962522\pi\)
\(762\) 17.2209 + 7.86454i 0.623849 + 0.284902i
\(763\) −7.24596 + 6.88116i −0.262321 + 0.249115i
\(764\) 1.25481 + 1.08730i 0.0453974 + 0.0393371i
\(765\) 1.05453 + 4.34683i 0.0381266 + 0.157160i
\(766\) −1.93751 40.6734i −0.0700052 1.46959i
\(767\) −2.29728 0.219364i −0.0829500 0.00792076i
\(768\) −13.7374 4.75456i −0.495705 0.171565i
\(769\) 14.8116 + 9.51883i 0.534120 + 0.343258i 0.779735 0.626110i \(-0.215354\pi\)
−0.245616 + 0.969367i \(0.578990\pi\)
\(770\) 60.0805 + 11.7053i 2.16515 + 0.421829i
\(771\) 0.695277 4.83576i 0.0250398 0.174156i
\(772\) −0.837850 + 17.5886i −0.0301549 + 0.633029i
\(773\) −18.2937 + 3.52582i