Properties

Label 403.2.bs.a.4.9
Level 403
Weight 2
Character 403.4
Analytic conductor 3.218
Analytic rank 0
Dimension 288
CM No

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Newspace parameters

Level: \( N \) = \( 403 = 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 403.bs (of order \(30\) and degree \(8\))

Newform invariants

Self dual: No
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(288\)
Relative dimension: \(36\) over \(\Q(\zeta_{30})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 4.9
Character \(\chi\) = 403.4
Dual form 403.2.bs.a.101.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.350844 + 1.65059i) q^{2} +(-1.46122 - 1.62285i) q^{3} +(-0.774264 - 0.344725i) q^{4} -3.64318i q^{5} +(3.19131 - 1.84250i) q^{6} +(-1.03720 + 2.32958i) q^{7} +(-1.14309 + 1.57333i) q^{8} +(-0.184888 + 1.75909i) q^{9} +O(q^{10})\) \(q+(-0.350844 + 1.65059i) q^{2} +(-1.46122 - 1.62285i) q^{3} +(-0.774264 - 0.344725i) q^{4} -3.64318i q^{5} +(3.19131 - 1.84250i) q^{6} +(-1.03720 + 2.32958i) q^{7} +(-1.14309 + 1.57333i) q^{8} +(-0.184888 + 1.75909i) q^{9} +(6.01339 + 1.27819i) q^{10} +(2.31391 - 0.243201i) q^{11} +(0.571933 + 1.76023i) q^{12} +(-2.98240 + 2.02616i) q^{13} +(-3.48128 - 2.52930i) q^{14} +(-5.91232 + 5.32347i) q^{15} +(-3.33010 - 3.69845i) q^{16} +(0.442452 - 4.20965i) q^{17} +(-2.83867 - 0.922341i) q^{18} +(-5.78743 - 5.21103i) q^{19} +(-1.25589 + 2.82078i) q^{20} +(5.29611 - 1.72081i) q^{21} +(-0.410394 + 3.90464i) q^{22} +(-6.56907 + 2.92474i) q^{23} +(4.22357 - 0.443915i) q^{24} -8.27275 q^{25} +(-2.29800 - 5.63358i) q^{26} +(-2.17519 + 1.58037i) q^{27} +(1.60613 - 1.44616i) q^{28} +(0.840220 + 0.178594i) q^{29} +(-6.71257 - 11.6265i) q^{30} +(-5.10999 - 2.21089i) q^{31} +(3.90458 - 2.25431i) q^{32} +(-3.77580 - 3.39974i) q^{33} +(6.79317 + 2.20724i) q^{34} +(8.48707 + 3.77869i) q^{35} +(0.749555 - 1.29827i) q^{36} +(4.99486 + 2.88378i) q^{37} +(10.6318 - 7.72442i) q^{38} +(7.64607 + 1.87931i) q^{39} +(5.73191 + 4.16448i) q^{40} +(0.567361 - 2.66922i) q^{41} +(0.982246 + 9.34544i) q^{42} +(0.967319 - 1.07432i) q^{43} +(-1.87541 - 0.609358i) q^{44} +(6.40869 + 0.673580i) q^{45} +(-2.52283 - 11.8690i) q^{46} +(-1.41773 - 0.460649i) q^{47} +(-1.13602 + 10.8085i) q^{48} +(0.332753 + 0.369560i) q^{49} +(2.90244 - 13.6549i) q^{50} +(-7.47813 + 5.43318i) q^{51} +(3.00763 - 0.540677i) q^{52} +(-5.51960 - 4.01023i) q^{53} +(-1.84538 - 4.14480i) q^{54} +(-0.886026 - 8.42997i) q^{55} +(-2.47958 - 4.29476i) q^{56} +17.0065i q^{57} +(-0.589572 + 1.32420i) q^{58} +(2.64963 + 12.4655i) q^{59} +(6.41283 - 2.08365i) q^{60} +(-6.87663 - 11.9107i) q^{61} +(5.44208 - 7.65882i) q^{62} +(-3.90618 - 2.25523i) q^{63} +(-0.724759 - 2.23058i) q^{64} +(7.38166 + 10.8654i) q^{65} +(6.93629 - 5.03951i) q^{66} +(12.7759 + 7.37614i) q^{67} +(-1.79374 + 3.10686i) q^{68} +(14.3452 + 6.38691i) q^{69} +(-9.21470 + 12.6829i) q^{70} +(2.21335 + 0.232632i) q^{71} +(-2.55628 - 2.30169i) q^{72} +(-4.38525 - 6.03578i) q^{73} +(-6.51236 + 7.23271i) q^{74} +(12.0883 + 13.4254i) q^{75} +(2.68463 + 6.02978i) q^{76} +(-1.83342 + 5.64267i) q^{77} +(-5.78455 + 11.9612i) q^{78} +(-8.91737 - 6.47885i) q^{79} +(-13.4741 + 12.1321i) q^{80} +(10.9335 + 2.32399i) q^{81} +(4.20674 + 1.87296i) q^{82} +(10.1728 - 3.30536i) q^{83} +(-4.69380 - 0.493338i) q^{84} +(-15.3365 - 1.61193i) q^{85} +(1.43388 + 1.97356i) q^{86} +(-0.937912 - 1.62451i) q^{87} +(-2.26237 + 3.91853i) q^{88} +(9.37571 - 0.985427i) q^{89} +(-3.36025 + 10.3418i) q^{90} +(-1.62677 - 9.04924i) q^{91} +6.09443 q^{92} +(3.87887 + 11.5233i) q^{93} +(1.25774 - 2.17848i) q^{94} +(-18.9847 + 21.0847i) q^{95} +(-9.36384 - 3.04249i) q^{96} +(-0.222301 + 0.499295i) q^{97} +(-0.726736 + 0.419582i) q^{98} +4.11534i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 288q - 9q^{2} - q^{3} - 39q^{4} - 42q^{6} - 15q^{7} + 31q^{9} + O(q^{10}) \) \( 288q - 9q^{2} - q^{3} - 39q^{4} - 42q^{6} - 15q^{7} + 31q^{9} + 3q^{10} - 18q^{11} - 46q^{12} - q^{13} - 32q^{14} + 18q^{15} + 21q^{16} - 15q^{17} - 15q^{19} + 51q^{20} - 10q^{22} - 4q^{23} - 51q^{24} - 296q^{25} - 6q^{26} - 52q^{27} + 21q^{28} + q^{29} + 60q^{30} + 138q^{32} + 69q^{33} - 10q^{35} + 128q^{36} - 18q^{37} + 32q^{38} - 14q^{39} + 60q^{40} - 15q^{41} - 49q^{42} - 36q^{43} + 6q^{45} - 69q^{46} + 21q^{48} - 23q^{49} + 117q^{50} + 8q^{51} + 26q^{52} - 48q^{53} + 75q^{54} + 46q^{55} - 98q^{56} - 21q^{58} - 105q^{59} - 74q^{61} - 3q^{62} - 90q^{63} + 90q^{64} + 89q^{65} - 8q^{66} + 6q^{67} - 182q^{68} + 29q^{69} + 3q^{71} - 183q^{72} - 53q^{74} - 38q^{75} + 144q^{76} - 128q^{78} - 72q^{79} - 72q^{80} + 11q^{81} - 11q^{82} - 33q^{84} + 72q^{85} - 18q^{87} - 14q^{88} + 81q^{89} - 34q^{90} - 48q^{91} + 8q^{92} + 72q^{93} - 6q^{94} + 141q^{97} + 96q^{98} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{5}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.350844 + 1.65059i −0.248084 + 1.16714i 0.660953 + 0.750427i \(0.270152\pi\)
−0.909037 + 0.416716i \(0.863181\pi\)
\(3\) −1.46122 1.62285i −0.843634 0.936950i 0.155067 0.987904i \(-0.450441\pi\)
−0.998701 + 0.0509536i \(0.983774\pi\)
\(4\) −0.774264 0.344725i −0.387132 0.172362i
\(5\) 3.64318i 1.62928i −0.579968 0.814640i \(-0.696935\pi\)
0.579968 0.814640i \(-0.303065\pi\)
\(6\) 3.19131 1.84250i 1.30285 0.752199i
\(7\) −1.03720 + 2.32958i −0.392023 + 0.880498i 0.604455 + 0.796639i \(0.293391\pi\)
−0.996478 + 0.0838584i \(0.973276\pi\)
\(8\) −1.14309 + 1.57333i −0.404143 + 0.556255i
\(9\) −0.184888 + 1.75909i −0.0616293 + 0.586364i
\(10\) 6.01339 + 1.27819i 1.90160 + 0.404198i
\(11\) 2.31391 0.243201i 0.697669 0.0733280i 0.250947 0.968001i \(-0.419258\pi\)
0.446722 + 0.894673i \(0.352591\pi\)
\(12\) 0.571933 + 1.76023i 0.165103 + 0.508134i
\(13\) −2.98240 + 2.02616i −0.827168 + 0.561955i
\(14\) −3.48128 2.52930i −0.930412 0.675984i
\(15\) −5.91232 + 5.32347i −1.52655 + 1.37451i
\(16\) −3.33010 3.69845i −0.832525 0.924612i
\(17\) 0.442452 4.20965i 0.107310 1.02099i −0.799849 0.600202i \(-0.795087\pi\)
0.907159 0.420788i \(-0.138246\pi\)
\(18\) −2.83867 0.922341i −0.669082 0.217398i
\(19\) −5.78743 5.21103i −1.32773 1.19549i −0.964589 0.263757i \(-0.915038\pi\)
−0.363139 0.931735i \(-0.618295\pi\)
\(20\) −1.25589 + 2.82078i −0.280826 + 0.630746i
\(21\) 5.29611 1.72081i 1.15571 0.375512i
\(22\) −0.410394 + 3.90464i −0.0874962 + 0.832471i
\(23\) −6.56907 + 2.92474i −1.36975 + 0.609850i −0.954048 0.299653i \(-0.903129\pi\)
−0.415697 + 0.909503i \(0.636462\pi\)
\(24\) 4.22357 0.443915i 0.862132 0.0906137i
\(25\) −8.27275 −1.65455
\(26\) −2.29800 5.63358i −0.450675 1.10484i
\(27\) −2.17519 + 1.58037i −0.418615 + 0.304141i
\(28\) 1.60613 1.44616i 0.303529 0.273299i
\(29\) 0.840220 + 0.178594i 0.156025 + 0.0331641i 0.285262 0.958450i \(-0.407919\pi\)
−0.129237 + 0.991614i \(0.541253\pi\)
\(30\) −6.71257 11.6265i −1.22554 2.12270i
\(31\) −5.10999 2.21089i −0.917781 0.397087i
\(32\) 3.90458 2.25431i 0.690239 0.398510i
\(33\) −3.77580 3.39974i −0.657282 0.591819i
\(34\) 6.79317 + 2.20724i 1.16502 + 0.378538i
\(35\) 8.48707 + 3.77869i 1.43458 + 0.638715i
\(36\) 0.749555 1.29827i 0.124926 0.216378i
\(37\) 4.99486 + 2.88378i 0.821150 + 0.474091i 0.850813 0.525469i \(-0.176110\pi\)
−0.0296630 + 0.999560i \(0.509443\pi\)
\(38\) 10.6318 7.72442i 1.72470 1.25307i
\(39\) 7.64607 + 1.87931i 1.22435 + 0.300931i
\(40\) 5.73191 + 4.16448i 0.906295 + 0.658462i
\(41\) 0.567361 2.66922i 0.0886069 0.416863i −0.911379 0.411568i \(-0.864981\pi\)
0.999986 0.00529480i \(-0.00168540\pi\)
\(42\) 0.982246 + 9.34544i 0.151564 + 1.44203i
\(43\) 0.967319 1.07432i 0.147515 0.163832i −0.664859 0.746969i \(-0.731508\pi\)
0.812374 + 0.583137i \(0.198175\pi\)
\(44\) −1.87541 0.609358i −0.282729 0.0918642i
\(45\) 6.40869 + 0.673580i 0.955351 + 0.100411i
\(46\) −2.52283 11.8690i −0.371970 1.74998i
\(47\) −1.41773 0.460649i −0.206797 0.0671926i 0.203787 0.979015i \(-0.434675\pi\)
−0.410584 + 0.911823i \(0.634675\pi\)
\(48\) −1.13602 + 10.8085i −0.163970 + 1.56007i
\(49\) 0.332753 + 0.369560i 0.0475362 + 0.0527943i
\(50\) 2.90244 13.6549i 0.410467 1.93110i
\(51\) −7.47813 + 5.43318i −1.04715 + 0.760797i
\(52\) 3.00763 0.540677i 0.417083 0.0749784i
\(53\) −5.51960 4.01023i −0.758176 0.550847i 0.140174 0.990127i \(-0.455234\pi\)
−0.898350 + 0.439280i \(0.855234\pi\)
\(54\) −1.84538 4.14480i −0.251125 0.564036i
\(55\) −0.886026 8.42997i −0.119472 1.13670i
\(56\) −2.47958 4.29476i −0.331348 0.573912i
\(57\) 17.0065i 2.25257i
\(58\) −0.589572 + 1.32420i −0.0774146 + 0.173876i
\(59\) 2.64963 + 12.4655i 0.344952 + 1.62287i 0.718686 + 0.695335i \(0.244744\pi\)
−0.373734 + 0.927536i \(0.621923\pi\)
\(60\) 6.41283 2.08365i 0.827893 0.268999i
\(61\) −6.87663 11.9107i −0.880462 1.52500i −0.850828 0.525444i \(-0.823899\pi\)
−0.0296339 0.999561i \(-0.509434\pi\)
\(62\) 5.44208 7.65882i 0.691145 0.972671i
\(63\) −3.90618 2.25523i −0.492132 0.284133i
\(64\) −0.724759 2.23058i −0.0905949 0.278822i
\(65\) 7.38166 + 10.8654i 0.915582 + 1.34769i
\(66\) 6.93629 5.03951i 0.853799 0.620321i
\(67\) 12.7759 + 7.37614i 1.56082 + 0.901139i 0.997174 + 0.0751220i \(0.0239346\pi\)
0.563645 + 0.826017i \(0.309399\pi\)
\(68\) −1.79374 + 3.10686i −0.217524 + 0.376762i
\(69\) 14.3452 + 6.38691i 1.72696 + 0.768894i
\(70\) −9.21470 + 12.6829i −1.10137 + 1.51590i
\(71\) 2.21335 + 0.232632i 0.262676 + 0.0276084i 0.234951 0.972007i \(-0.424507\pi\)
0.0277252 + 0.999616i \(0.491174\pi\)
\(72\) −2.55628 2.30169i −0.301261 0.271257i
\(73\) −4.38525 6.03578i −0.513255 0.706435i 0.471209 0.882021i \(-0.343818\pi\)
−0.984464 + 0.175587i \(0.943818\pi\)
\(74\) −6.51236 + 7.23271i −0.757046 + 0.840785i
\(75\) 12.0883 + 13.4254i 1.39583 + 1.55023i
\(76\) 2.68463 + 6.02978i 0.307949 + 0.691664i
\(77\) −1.83342 + 5.64267i −0.208937 + 0.643042i
\(78\) −5.78455 + 11.9612i −0.654971 + 1.35434i
\(79\) −8.91737 6.47885i −1.00328 0.728927i −0.0404931 0.999180i \(-0.512893\pi\)
−0.962790 + 0.270252i \(0.912893\pi\)
\(80\) −13.4741 + 12.1321i −1.50645 + 1.35642i
\(81\) 10.9335 + 2.32399i 1.21483 + 0.258221i
\(82\) 4.20674 + 1.87296i 0.464557 + 0.206834i
\(83\) 10.1728 3.30536i 1.11661 0.362810i 0.308140 0.951341i \(-0.400293\pi\)
0.808475 + 0.588531i \(0.200293\pi\)
\(84\) −4.69380 0.493338i −0.512135 0.0538276i
\(85\) −15.3365 1.61193i −1.66348 0.174839i
\(86\) 1.43388 + 1.97356i 0.154619 + 0.212815i
\(87\) −0.937912 1.62451i −0.100555 0.174166i
\(88\) −2.26237 + 3.91853i −0.241169 + 0.417717i
\(89\) 9.37571 0.985427i 0.993823 0.104455i 0.406366 0.913710i \(-0.366796\pi\)
0.587457 + 0.809255i \(0.300129\pi\)
\(90\) −3.36025 + 10.3418i −0.354202 + 1.09012i
\(91\) −1.62677 9.04924i −0.170532 0.948619i
\(92\) 6.09443 0.635388
\(93\) 3.87887 + 11.5233i 0.402220 + 1.19491i
\(94\) 1.25774 2.17848i 0.129726 0.224693i
\(95\) −18.9847 + 21.0847i −1.94779 + 2.16324i
\(96\) −9.36384 3.04249i −0.955692 0.310523i
\(97\) −0.222301 + 0.499295i −0.0225712 + 0.0506957i −0.924479 0.381232i \(-0.875500\pi\)
0.901908 + 0.431928i \(0.142167\pi\)
\(98\) −0.726736 + 0.419582i −0.0734115 + 0.0423841i
\(99\) 4.11534i 0.413607i
\(100\) 6.40530 + 2.85182i 0.640530 + 0.285182i
\(101\) 11.9910 5.33872i 1.19315 0.531223i 0.288538 0.957468i \(-0.406831\pi\)
0.904607 + 0.426246i \(0.140164\pi\)
\(102\) −6.34429 14.2495i −0.628179 1.41091i
\(103\) −2.07011 6.37116i −0.203974 0.627769i −0.999754 0.0221823i \(-0.992939\pi\)
0.795779 0.605587i \(-0.207061\pi\)
\(104\) 0.221334 7.00836i 0.0217035 0.687227i
\(105\) −6.26922 19.2947i −0.611813 1.88297i
\(106\) 8.55576 7.70364i 0.831009 0.748244i
\(107\) 3.48838 1.55313i 0.337235 0.150147i −0.231131 0.972923i \(-0.574243\pi\)
0.568366 + 0.822776i \(0.307576\pi\)
\(108\) 2.22896 0.473780i 0.214482 0.0455895i
\(109\) −11.3788 3.69720i −1.08989 0.354127i −0.291687 0.956514i \(-0.594217\pi\)
−0.798205 + 0.602386i \(0.794217\pi\)
\(110\) 14.2253 + 1.49514i 1.35633 + 0.142556i
\(111\) −2.61864 12.3197i −0.248550 1.16934i
\(112\) 12.0698 3.92171i 1.14049 0.370567i
\(113\) −2.36590 1.05337i −0.222565 0.0990923i 0.292425 0.956288i \(-0.405538\pi\)
−0.514990 + 0.857196i \(0.672204\pi\)
\(114\) −28.0708 5.96664i −2.62907 0.558827i
\(115\) 10.6553 + 23.9323i 0.993616 + 2.23170i
\(116\) −0.588986 0.427924i −0.0546860 0.0397317i
\(117\) −3.01279 5.62092i −0.278533 0.519654i
\(118\) −21.5050 −1.97970
\(119\) 9.34780 + 5.39695i 0.856911 + 0.494738i
\(120\) −1.61726 15.3872i −0.147635 1.40465i
\(121\) −5.46461 + 1.16154i −0.496783 + 0.105594i
\(122\) 22.0723 7.17171i 1.99833 0.649296i
\(123\) −5.16078 + 2.97958i −0.465331 + 0.268659i
\(124\) 3.19433 + 3.47335i 0.286860 + 0.311916i
\(125\) 11.9232i 1.06645i
\(126\) 5.09292 5.65626i 0.453714 0.503900i
\(127\) −6.65080 7.38646i −0.590163 0.655443i 0.371899 0.928273i \(-0.378707\pi\)
−0.962062 + 0.272831i \(0.912040\pi\)
\(128\) 12.9039 1.35625i 1.14055 0.119877i
\(129\) −3.15691 −0.277951
\(130\) −20.5241 + 8.37203i −1.80008 + 0.734276i
\(131\) −6.54173 + 4.75285i −0.571554 + 0.415258i −0.835669 0.549233i \(-0.814920\pi\)
0.264116 + 0.964491i \(0.414920\pi\)
\(132\) 1.75149 + 3.93391i 0.152448 + 0.342403i
\(133\) 18.1422 8.07742i 1.57313 0.700402i
\(134\) −16.6573 + 18.4998i −1.43897 + 1.59814i
\(135\) 5.75755 + 7.92459i 0.495531 + 0.682040i
\(136\) 6.11739 + 5.50813i 0.524562 + 0.472318i
\(137\) −1.83804 8.64728i −0.157034 0.738787i −0.984233 0.176878i \(-0.943400\pi\)
0.827199 0.561909i \(-0.189933\pi\)
\(138\) −15.5751 + 21.4373i −1.32584 + 1.82486i
\(139\) 11.9996 2.55059i 1.01779 0.216338i 0.331339 0.943512i \(-0.392500\pi\)
0.686454 + 0.727174i \(0.259166\pi\)
\(140\) −5.26863 5.85141i −0.445280 0.494534i
\(141\) 1.32405 + 2.97387i 0.111505 + 0.250445i
\(142\) −1.16052 + 3.57171i −0.0973887 + 0.299732i
\(143\) −6.40822 + 5.41366i −0.535882 + 0.452713i
\(144\) 7.12161 5.17415i 0.593467 0.431179i
\(145\) 0.650651 3.06107i 0.0540336 0.254208i
\(146\) 11.5011 5.12063i 0.951840 0.423787i
\(147\) 0.113514 1.08001i 0.00936249 0.0890781i
\(148\) −2.87323 3.95466i −0.236178 0.325071i
\(149\) 7.32815 4.23091i 0.600346 0.346610i −0.168832 0.985645i \(-0.553999\pi\)
0.769178 + 0.639035i \(0.220666\pi\)
\(150\) −26.4009 + 15.2426i −2.15563 + 1.24455i
\(151\) 3.88210 + 5.34325i 0.315921 + 0.434828i 0.937216 0.348749i \(-0.113393\pi\)
−0.621295 + 0.783576i \(0.713393\pi\)
\(152\) 14.8142 3.14886i 1.20159 0.255406i
\(153\) 7.32336 + 1.55663i 0.592058 + 0.125846i
\(154\) −8.67049 5.00591i −0.698688 0.403388i
\(155\) −8.05466 + 18.6166i −0.646966 + 1.49532i
\(156\) −5.27223 4.09087i −0.422116 0.327532i
\(157\) 2.45333 + 7.55056i 0.195797 + 0.602600i 0.999966 + 0.00820059i \(0.00261036\pi\)
−0.804170 + 0.594400i \(0.797390\pi\)
\(158\) 13.8225 12.4459i 1.09966 0.990139i
\(159\) 1.55736 + 14.8173i 0.123507 + 1.17509i
\(160\) −8.21286 14.2251i −0.649283 1.12459i
\(161\) 18.3367i 1.44513i
\(162\) −7.67190 + 17.2314i −0.602761 + 1.35382i
\(163\) 7.62867 + 0.801805i 0.597523 + 0.0628022i 0.398462 0.917185i \(-0.369544\pi\)
0.199061 + 0.979987i \(0.436211\pi\)
\(164\) −1.35944 + 1.87110i −0.106154 + 0.146109i
\(165\) −12.3859 + 13.7559i −0.964239 + 1.07090i
\(166\) 1.88671 + 17.9509i 0.146437 + 1.39326i
\(167\) 0.313750 1.47608i 0.0242787 0.114222i −0.964340 0.264668i \(-0.914738\pi\)
0.988618 + 0.150446i \(0.0480709\pi\)
\(168\) −3.34653 + 10.2996i −0.258190 + 0.794628i
\(169\) 4.78936 12.0856i 0.368413 0.929662i
\(170\) 8.04135 24.7487i 0.616744 1.89814i
\(171\) 10.2367 9.21717i 0.782820 0.704855i
\(172\) −1.11930 + 0.498346i −0.0853461 + 0.0379985i
\(173\) 0.476101 0.101198i 0.0361973 0.00769397i −0.189777 0.981827i \(-0.560777\pi\)
0.225975 + 0.974133i \(0.427443\pi\)
\(174\) 3.01046 0.978159i 0.228223 0.0741540i
\(175\) 8.58046 19.2720i 0.648622 1.45683i
\(176\) −8.60500 7.74798i −0.648627 0.584026i
\(177\) 16.3579 22.5147i 1.22954 1.69231i
\(178\) −1.66287 + 15.8212i −0.124638 + 1.18585i
\(179\) 0.563178 + 5.35828i 0.0420939 + 0.400497i 0.995200 + 0.0978606i \(0.0311999\pi\)
−0.953106 + 0.302636i \(0.902133\pi\)
\(180\) −4.72982 2.73076i −0.352540 0.203539i
\(181\) −3.09890 −0.230339 −0.115170 0.993346i \(-0.536741\pi\)
−0.115170 + 0.993346i \(0.536741\pi\)
\(182\) 15.5073 + 0.489742i 1.14948 + 0.0363021i
\(183\) −9.28093 + 28.5638i −0.686066 + 2.11149i
\(184\) 2.90746 13.6785i 0.214341 1.00839i
\(185\) 10.5061 18.1972i 0.772427 1.33788i
\(186\) −20.3811 + 2.35954i −1.49442 + 0.173010i
\(187\) 9.84834i 0.720182i
\(188\) 0.938902 + 0.845391i 0.0684765 + 0.0616565i
\(189\) −1.42549 6.70641i −0.103689 0.487820i
\(190\) −28.1414 38.7334i −2.04160 2.81001i
\(191\) 4.49418 + 7.78415i 0.325188 + 0.563241i 0.981550 0.191204i \(-0.0612392\pi\)
−0.656363 + 0.754445i \(0.727906\pi\)
\(192\) −2.56086 + 4.43553i −0.184814 + 0.320107i
\(193\) −9.19672 + 0.966614i −0.661994 + 0.0695784i −0.429566 0.903035i \(-0.641334\pi\)
−0.232428 + 0.972614i \(0.574667\pi\)
\(194\) −0.746139 0.542102i −0.0535696 0.0389206i
\(195\) 6.84666 27.8560i 0.490300 1.99481i
\(196\) −0.130243 0.400846i −0.00930304 0.0286318i
\(197\) 1.40429 0.147596i 0.100051 0.0105158i −0.0543706 0.998521i \(-0.517315\pi\)
0.154422 + 0.988005i \(0.450649\pi\)
\(198\) −6.79274 1.44384i −0.482739 0.102609i
\(199\) −11.6457 + 2.47537i −0.825542 + 0.175474i −0.601264 0.799051i \(-0.705336\pi\)
−0.224278 + 0.974525i \(0.572003\pi\)
\(200\) 9.45649 13.0157i 0.668675 0.920352i
\(201\) −6.69795 31.5114i −0.472437 2.22264i
\(202\) 4.60508 + 21.6652i 0.324013 + 1.52436i
\(203\) −1.28752 + 1.77212i −0.0903663 + 0.124378i
\(204\) 7.66300 1.62882i 0.536517 0.114040i
\(205\) −9.72446 2.06700i −0.679186 0.144365i
\(206\) 11.2425 1.18163i 0.783299 0.0823280i
\(207\) −3.93034 12.0963i −0.273178 0.840754i
\(208\) 17.4253 + 4.28293i 1.20823 + 0.296968i
\(209\) −14.6589 10.6503i −1.01398 0.736698i
\(210\) 34.0471 3.57850i 2.34947 0.246940i
\(211\) −8.80820 + 15.2562i −0.606381 + 1.05028i 0.385450 + 0.922729i \(0.374046\pi\)
−0.991832 + 0.127555i \(0.959287\pi\)
\(212\) 2.89121 + 5.00772i 0.198569 + 0.343932i
\(213\) −2.85666 3.93185i −0.195735 0.269406i
\(214\) 1.33970 + 6.30280i 0.0915800 + 0.430850i
\(215\) −3.91393 3.52412i −0.266928 0.240343i
\(216\) 5.22878i 0.355773i
\(217\) 10.4505 9.61099i 0.709426 0.652437i
\(218\) 10.0947 17.4846i 0.683702 1.18421i
\(219\) −3.38734 + 15.9362i −0.228895 + 1.07687i
\(220\) −2.22000 + 6.83246i −0.149672 + 0.460645i
\(221\) 7.20985 + 13.4513i 0.484987 + 0.904833i
\(222\) 21.2535 1.42644
\(223\) −11.4375 6.60342i −0.765909 0.442198i 0.0655041 0.997852i \(-0.479134\pi\)
−0.831413 + 0.555654i \(0.812468\pi\)
\(224\) 1.20178 + 11.4342i 0.0802974 + 0.763979i
\(225\) 1.52953 14.5525i 0.101969 0.970169i
\(226\) 2.56874 3.53556i 0.170870 0.235182i
\(227\) 15.3415 + 13.8136i 1.01825 + 0.916839i 0.996556 0.0829259i \(-0.0264265\pi\)
0.0216968 + 0.999765i \(0.493093\pi\)
\(228\) 5.86258 13.1676i 0.388259 0.872043i
\(229\) −7.44140 + 2.41786i −0.491741 + 0.159776i −0.544383 0.838837i \(-0.683236\pi\)
0.0526413 + 0.998613i \(0.483236\pi\)
\(230\) −43.2408 + 9.19111i −2.85121 + 0.606044i
\(231\) 11.8362 5.26982i 0.778765 0.346728i
\(232\) −1.24143 + 1.11779i −0.0815041 + 0.0733866i
\(233\) 1.96167 6.03739i 0.128513 0.395522i −0.866012 0.500024i \(-0.833325\pi\)
0.994525 + 0.104501i \(0.0333246\pi\)
\(234\) 10.3349 3.00082i 0.675610 0.196169i
\(235\) −1.67823 + 5.16505i −0.109475 + 0.336931i
\(236\) 2.24566 10.5650i 0.146180 0.687722i
\(237\) 2.51604 + 23.9385i 0.163434 + 1.55497i
\(238\) −12.1878 + 13.5359i −0.790016 + 0.877402i
\(239\) 12.3463 16.9933i 0.798618 1.09920i −0.194363 0.980930i \(-0.562264\pi\)
0.992981 0.118274i \(-0.0377362\pi\)
\(240\) 39.3772 + 4.13871i 2.54179 + 0.267153i
\(241\) 2.87435 6.45590i 0.185153 0.415861i −0.796991 0.603991i \(-0.793576\pi\)
0.982144 + 0.188131i \(0.0602428\pi\)
\(242\) 9.42735i 0.606013i
\(243\) −8.17172 14.1538i −0.524216 0.907969i
\(244\) 1.21843 + 11.5926i 0.0780017 + 0.742137i
\(245\) 1.34637 1.21228i 0.0860166 0.0774497i
\(246\) −3.10743 9.56369i −0.198123 0.609759i
\(247\) 27.8188 + 3.81509i 1.77007 + 0.242748i
\(248\) 9.31962 5.51244i 0.591797 0.350040i
\(249\) −20.2288 11.6791i −1.28195 0.740134i
\(250\) −19.6803 4.18319i −1.24469 0.264568i
\(251\) −15.2903 + 3.25005i −0.965113 + 0.205141i −0.663406 0.748259i \(-0.730890\pi\)
−0.301707 + 0.953401i \(0.597556\pi\)
\(252\) 2.24698 + 3.09270i 0.141546 + 0.194822i
\(253\) −14.4889 + 8.36518i −0.910910 + 0.525914i
\(254\) 14.5254 8.38625i 0.911406 0.526200i
\(255\) 19.7940 + 27.2442i 1.23955 + 1.70610i
\(256\) −1.79832 + 17.1098i −0.112395 + 1.06936i
\(257\) −27.2464 + 12.1309i −1.69959 + 0.756704i −0.700513 + 0.713640i \(0.747045\pi\)
−0.999072 + 0.0430646i \(0.986288\pi\)
\(258\) 1.10758 5.21077i 0.0689551 0.324408i
\(259\) −11.8986 + 8.64487i −0.739346 + 0.537166i
\(260\) −1.96978 10.9573i −0.122161 0.679545i
\(261\) −0.469510 + 1.44500i −0.0290620 + 0.0894435i
\(262\) −5.54987 12.4652i −0.342872 0.770104i
\(263\) −14.6510 16.2716i −0.903421 1.00335i −0.999968 0.00802194i \(-0.997447\pi\)
0.0965471 0.995328i \(-0.469220\pi\)
\(264\) 9.66498 2.05435i 0.594838 0.126437i
\(265\) −14.6100 + 20.1089i −0.897484 + 1.23528i
\(266\) 6.96744 + 32.7792i 0.427201 + 2.00982i
\(267\) −15.2991 13.7754i −0.936292 0.843041i
\(268\) −7.34915 10.1152i −0.448921 0.617886i
\(269\) −0.0808190 + 0.0897586i −0.00492762 + 0.00547268i −0.745604 0.666390i \(-0.767839\pi\)
0.740676 + 0.671862i \(0.234505\pi\)
\(270\) −15.1003 + 6.72307i −0.918972 + 0.409153i
\(271\) −9.29970 20.8875i −0.564917 1.26882i −0.939792 0.341748i \(-0.888981\pi\)
0.374875 0.927075i \(-0.377686\pi\)
\(272\) −17.0426 + 12.3822i −1.03336 + 0.750779i
\(273\) −12.3085 + 15.8629i −0.744942 + 0.960066i
\(274\) 14.9180 0.901228
\(275\) −19.1424 + 2.01194i −1.15433 + 0.121325i
\(276\) −8.90528 9.89031i −0.536035 0.595327i
\(277\) −13.8780 + 15.4131i −0.833850 + 0.926085i −0.998179 0.0603210i \(-0.980788\pi\)
0.164329 + 0.986406i \(0.447454\pi\)
\(278\) 20.7013i 1.24158i
\(279\) 4.83393 8.58017i 0.289400 0.513681i
\(280\) −15.6466 + 9.03356i −0.935062 + 0.539859i
\(281\) 5.37236 1.74558i 0.320488 0.104133i −0.144355 0.989526i \(-0.546111\pi\)
0.464843 + 0.885393i \(0.346111\pi\)
\(282\) −5.37317 + 1.14210i −0.319968 + 0.0680112i
\(283\) 0.139579 + 1.32800i 0.00829709 + 0.0789415i 0.997887 0.0649753i \(-0.0206969\pi\)
−0.989590 + 0.143917i \(0.954030\pi\)
\(284\) −1.63352 0.943115i −0.0969318 0.0559636i
\(285\) 61.9579 3.67007
\(286\) −6.68745 12.4767i −0.395437 0.737762i
\(287\) 5.62970 + 4.09022i 0.332311 + 0.241438i
\(288\) 3.24363 + 7.28531i 0.191133 + 0.429291i
\(289\) −0.896871 0.190636i −0.0527571 0.0112139i
\(290\) 4.82430 + 2.14791i 0.283292 + 0.126130i
\(291\) 1.13511 0.368819i 0.0665412 0.0216206i
\(292\) 1.31466 + 6.18499i 0.0769347 + 0.361949i
\(293\) 7.10520 + 0.746786i 0.415090 + 0.0436277i 0.309772 0.950811i \(-0.399747\pi\)
0.105318 + 0.994439i \(0.466414\pi\)
\(294\) 1.74284 + 0.566282i 0.101644 + 0.0330262i
\(295\) 45.4141 9.65306i 2.64411 0.562023i
\(296\) −10.2467 + 4.56213i −0.595578 + 0.265168i
\(297\) −4.64883 + 4.18582i −0.269752 + 0.242886i
\(298\) 4.41246 + 13.5802i 0.255607 + 0.786678i
\(299\) 13.6656 22.0327i 0.790301 1.27418i
\(300\) −4.73146 14.5619i −0.273171 0.840734i
\(301\) 1.49941 + 3.36772i 0.0864243 + 0.194112i
\(302\) −10.1815 + 4.53311i −0.585881 + 0.260851i
\(303\) −26.1853 11.6585i −1.50431 0.669761i
\(304\) 38.7578i 2.22291i
\(305\) −43.3927 + 25.0528i −2.48466 + 1.43452i
\(306\) −5.13871 + 11.5417i −0.293760 + 0.659796i
\(307\) −0.729732 0.237104i −0.0416480 0.0135323i 0.288119 0.957595i \(-0.406970\pi\)
−0.329767 + 0.944062i \(0.606970\pi\)
\(308\) 3.36472 3.73690i 0.191723 0.212929i
\(309\) −7.31452 + 12.6691i −0.416108 + 0.720721i
\(310\) −27.9024 19.8265i −1.58475 1.12607i
\(311\) 5.83338 0.330781 0.165390 0.986228i \(-0.447112\pi\)
0.165390 + 0.986228i \(0.447112\pi\)
\(312\) −11.6969 + 9.88155i −0.662207 + 0.559432i
\(313\) 5.43342 16.7223i 0.307115 0.945203i −0.671764 0.740765i \(-0.734463\pi\)
0.978880 0.204438i \(-0.0655367\pi\)
\(314\) −13.3236 + 1.40037i −0.751895 + 0.0790274i
\(315\) −8.21622 + 14.2309i −0.462931 + 0.801821i
\(316\) 4.67098 + 8.09038i 0.262763 + 0.455119i
\(317\) −19.2707 26.5239i −1.08235 1.48973i −0.856907 0.515472i \(-0.827617\pi\)
−0.225444 0.974256i \(-0.572383\pi\)
\(318\) −25.0036 2.62799i −1.40213 0.147370i
\(319\) 1.98762 + 0.208908i 0.111286 + 0.0116966i
\(320\) −8.12640 + 2.64043i −0.454280 + 0.147604i
\(321\) −7.61777 3.39165i −0.425183 0.189303i
\(322\) 30.2663 + 6.43331i 1.68668 + 0.358514i
\(323\) −24.4973 + 22.0574i −1.36306 + 1.22731i
\(324\) −7.66428 5.56843i −0.425793 0.309357i
\(325\) 24.6726 16.7619i 1.36859 0.929783i
\(326\) −3.99992 + 12.3105i −0.221535 + 0.681815i
\(327\) 10.6269 + 23.8684i 0.587670 + 1.31993i
\(328\) 3.55102 + 3.94381i 0.196072 + 0.217760i
\(329\) 2.54358 2.82493i 0.140232 0.155744i
\(330\) −18.3598 25.2702i −1.01068 1.39108i
\(331\) 14.1298 + 12.7226i 0.776646 + 0.699295i 0.958834 0.283969i \(-0.0916512\pi\)
−0.182188 + 0.983264i \(0.558318\pi\)
\(332\) −9.01591 0.947610i −0.494812 0.0520069i
\(333\) −5.99633 + 8.25324i −0.328597 + 0.452275i
\(334\) 2.32632 + 1.03574i 0.127291 + 0.0566734i
\(335\) 26.8726 46.5447i 1.46821 2.54301i
\(336\) −24.0009 13.8569i −1.30936 0.755958i
\(337\) 18.9810 13.7905i 1.03396 0.751215i 0.0648618 0.997894i \(-0.479339\pi\)
0.969097 + 0.246679i \(0.0793393\pi\)
\(338\) 18.2681 + 12.1454i 0.993652 + 0.660625i
\(339\) 1.74764 + 5.37868i 0.0949188 + 0.292130i
\(340\) 11.3188 + 6.53493i 0.613850 + 0.354406i
\(341\) −12.3617 3.87303i −0.669425 0.209737i
\(342\) 11.6223 + 20.1304i 0.628461 + 1.08853i
\(343\) −18.1827 + 5.90791i −0.981772 + 0.318997i
\(344\) 0.584520 + 2.74995i 0.0315152 + 0.148267i
\(345\) 23.2687 52.2622i 1.25274 2.81370i
\(346\) 0.821352i 0.0441562i
\(347\) −11.7480 20.3481i −0.630665 1.09234i −0.987416 0.158144i \(-0.949449\pi\)
0.356751 0.934199i \(-0.383884\pi\)
\(348\) 0.166183 + 1.58112i 0.00890833 + 0.0847571i
\(349\) 7.15277 + 16.0654i 0.382879 + 0.859960i 0.997468 + 0.0711127i \(0.0226550\pi\)
−0.614590 + 0.788847i \(0.710678\pi\)
\(350\) 28.7998 + 20.9243i 1.53941 + 1.11845i
\(351\) 3.28519 9.12055i 0.175351 0.486819i
\(352\) 8.48658 6.16586i 0.452336 0.328642i
\(353\) −2.83990 + 13.3607i −0.151153 + 0.711118i 0.835659 + 0.549248i \(0.185086\pi\)
−0.986812 + 0.161870i \(0.948247\pi\)
\(354\) 31.4235 + 34.8994i 1.67014 + 1.85488i
\(355\) 0.847521 8.06363i 0.0449818 0.427973i
\(356\) −7.59898 2.46906i −0.402745 0.130860i
\(357\) −4.90074 23.0561i −0.259374 1.22026i
\(358\) −9.04191 0.950343i −0.477880 0.0502272i
\(359\) 16.5643 + 5.38207i 0.874230 + 0.284055i 0.711560 0.702626i \(-0.247989\pi\)
0.162671 + 0.986680i \(0.447989\pi\)
\(360\) −8.38546 + 9.31300i −0.441953 + 0.490838i
\(361\) 4.35353 + 41.4210i 0.229133 + 2.18005i
\(362\) 1.08723 5.11501i 0.0571435 0.268839i
\(363\) 9.86998 + 7.17096i 0.518039 + 0.376378i
\(364\) −1.85995 + 7.56729i −0.0974878 + 0.396634i
\(365\) −21.9894 + 15.9763i −1.15098 + 0.836235i
\(366\) −43.8909 25.3404i −2.29421 1.32457i
\(367\) −14.5113 + 25.1342i −0.757482 + 1.31200i 0.186649 + 0.982427i \(0.440237\pi\)
−0.944131 + 0.329570i \(0.893096\pi\)
\(368\) 32.6927 + 14.5557i 1.70422 + 0.758769i
\(369\) 4.59051 + 1.49155i 0.238973 + 0.0776469i
\(370\) 26.3500 + 23.7257i 1.36987 + 1.23344i
\(371\) 15.0670 8.69896i 0.782242 0.451628i
\(372\) 0.969101 10.2592i 0.0502455 0.531916i
\(373\) −6.95222 12.0416i −0.359972 0.623490i 0.627983 0.778227i \(-0.283881\pi\)
−0.987956 + 0.154736i \(0.950547\pi\)
\(374\) 16.2556 + 3.45523i 0.840555 + 0.178666i
\(375\) 19.3495 17.4224i 0.999206 0.899689i
\(376\) 2.34535 1.70399i 0.120952 0.0878768i
\(377\) −2.86773 + 1.16978i −0.147696 + 0.0602467i
\(378\) 11.5697 0.595079
\(379\) 21.2213 2.23045i 1.09006 0.114570i 0.457599 0.889159i \(-0.348710\pi\)
0.632466 + 0.774588i \(0.282043\pi\)
\(380\) 21.9676 9.78060i 1.12691 0.501734i
\(381\) −2.26883 + 21.5865i −0.116236 + 1.10591i
\(382\) −14.4252 + 4.68703i −0.738057 + 0.239809i
\(383\) −1.65653 + 3.72062i −0.0846445 + 0.190115i −0.950909 0.309471i \(-0.899848\pi\)
0.866264 + 0.499586i \(0.166515\pi\)
\(384\) −21.0564 18.9592i −1.07453 0.967510i
\(385\) 20.5573 + 6.67946i 1.04770 + 0.340417i
\(386\) 1.63113 15.5191i 0.0830222 0.789903i
\(387\) 1.71098 + 1.90023i 0.0869738 + 0.0965942i
\(388\) 0.344239 0.309954i 0.0174761 0.0157355i
\(389\) −16.0283 11.6453i −0.812669 0.590438i 0.101934 0.994791i \(-0.467497\pi\)
−0.914603 + 0.404353i \(0.867497\pi\)
\(390\) 43.5767 + 21.0741i 2.20659 + 1.06713i
\(391\) 9.40562 + 28.9475i 0.475663 + 1.46394i
\(392\) −0.961806 + 0.101090i −0.0485785 + 0.00510581i
\(393\) 17.2720 + 3.67128i 0.871258 + 0.185192i
\(394\) −0.249064 + 2.36968i −0.0125476 + 0.119383i
\(395\) −23.6036 + 32.4876i −1.18763 + 1.63463i
\(396\) 1.41866 3.18636i 0.0712903 0.160121i
\(397\) −15.0651 + 8.69783i −0.756095 + 0.436532i −0.827892 0.560888i \(-0.810460\pi\)
0.0717971 + 0.997419i \(0.477127\pi\)
\(398\) 20.0907i 1.00706i
\(399\) −39.6181 17.6391i −1.98339 0.883060i
\(400\) 27.5491 + 30.5964i 1.37745 + 1.52982i
\(401\) 3.85981 18.1590i 0.192750 0.906817i −0.770339 0.637634i \(-0.779913\pi\)
0.963089 0.269183i \(-0.0867535\pi\)
\(402\) 54.3623 2.71134
\(403\) 19.7196 3.75990i 0.982304 0.187294i
\(404\) −11.1246 −0.553468
\(405\) 8.46670 39.8327i 0.420714 1.97930i
\(406\) −2.47333 2.74691i −0.122749 0.136327i
\(407\) 12.2590 + 5.45805i 0.607655 + 0.270545i
\(408\) 17.9761i 0.889952i
\(409\) −5.44933 + 3.14617i −0.269452 + 0.155568i −0.628639 0.777698i \(-0.716388\pi\)
0.359187 + 0.933266i \(0.383054\pi\)
\(410\) 6.82353 15.3259i 0.336990 0.756892i
\(411\) −11.3474 + 15.6184i −0.559728 + 0.770399i
\(412\) −0.593480 + 5.64658i −0.0292386 + 0.278187i
\(413\) −31.7876 6.75665i −1.56416 0.332473i
\(414\) 21.3450 2.24345i 1.04905 0.110260i
\(415\) −12.0420 37.0615i −0.591119 1.81928i
\(416\) −7.07741 + 14.6345i −0.346999 + 0.717518i
\(417\) −21.6732 15.7465i −1.06134 0.771110i
\(418\) 22.7223 20.4592i 1.11138 1.00069i
\(419\) −11.0785 12.3039i −0.541220 0.601085i 0.409051 0.912512i \(-0.365860\pi\)
−0.950270 + 0.311426i \(0.899193\pi\)
\(420\) −1.79732 + 17.1003i −0.0877002 + 0.834411i
\(421\) 22.3846 + 7.27318i 1.09096 + 0.354473i 0.798616 0.601841i \(-0.205566\pi\)
0.292341 + 0.956314i \(0.405566\pi\)
\(422\) −22.0915 19.8913i −1.07540 0.968292i
\(423\) 1.07245 2.40875i 0.0521441 0.117118i
\(424\) 12.6188 4.10010i 0.612823 0.199118i
\(425\) −3.66029 + 34.8254i −0.177550 + 1.68928i
\(426\) 7.49211 3.33570i 0.362994 0.161615i
\(427\) 34.8792 3.66596i 1.68792 0.177408i
\(428\) −3.23633 −0.156434
\(429\) 18.1493 + 2.48901i 0.876258 + 0.120171i
\(430\) 7.19004 5.22387i 0.346735 0.251918i
\(431\) −13.9293 + 12.5420i −0.670952 + 0.604128i −0.932546 0.361050i \(-0.882418\pi\)
0.261595 + 0.965178i \(0.415752\pi\)
\(432\) 13.0885 + 2.78204i 0.629720 + 0.133851i
\(433\) 10.4816 + 18.1547i 0.503716 + 0.872461i 0.999991 + 0.00429566i \(0.00136735\pi\)
−0.496275 + 0.868165i \(0.665299\pi\)
\(434\) 12.1973 + 20.6214i 0.585490 + 0.989860i
\(435\) −5.91839 + 3.41698i −0.283765 + 0.163832i
\(436\) 7.53569 + 6.78516i 0.360894 + 0.324950i
\(437\) 53.2589 + 17.3049i 2.54772 + 0.827805i
\(438\) −25.1156 11.1822i −1.20007 0.534306i
\(439\) −1.97258 + 3.41661i −0.0941461 + 0.163066i −0.909252 0.416246i \(-0.863345\pi\)
0.815106 + 0.579312i \(0.196679\pi\)
\(440\) 14.2759 + 8.24220i 0.680577 + 0.392932i
\(441\) −0.711612 + 0.517017i −0.0338863 + 0.0246198i
\(442\) −24.7321 + 7.18119i −1.17639 + 0.341575i
\(443\) −8.88209 6.45321i −0.422001 0.306601i 0.356442 0.934318i \(-0.383990\pi\)
−0.778442 + 0.627716i \(0.783990\pi\)
\(444\) −2.21939 + 10.4414i −0.105328 + 0.495528i
\(445\) −3.59009 34.1574i −0.170186 1.61922i
\(446\) 14.9123 16.5618i 0.706118 0.784224i
\(447\) −17.5741 5.71018i −0.831228 0.270082i
\(448\) 5.94803 + 0.625163i 0.281018 + 0.0295362i
\(449\) −2.58889 12.1797i −0.122177 0.574798i −0.996062 0.0886643i \(-0.971740\pi\)
0.873885 0.486134i \(-0.161593\pi\)
\(450\) 23.4836 + 7.63029i 1.10703 + 0.359696i
\(451\) 0.663661 6.31432i 0.0312506 0.297330i
\(452\) 1.46871 + 1.63117i 0.0690823 + 0.0767237i
\(453\) 2.99868 14.1077i 0.140890 0.662838i
\(454\) −28.1830 + 20.4762i −1.32269 + 0.960994i
\(455\) −32.9680 + 5.92661i −1.54556 + 0.277844i
\(456\) −26.7569 19.4400i −1.25301 0.910362i
\(457\) 6.82374 + 15.3264i 0.319201 + 0.716937i 0.999878 0.0156470i \(-0.00498078\pi\)
−0.680677 + 0.732584i \(0.738314\pi\)
\(458\) −1.38012 13.1310i −0.0644889 0.613571i
\(459\) 5.69037 + 9.85601i 0.265604 + 0.460039i
\(460\) 22.2031i 1.03522i
\(461\) 0.666579 1.49716i 0.0310457 0.0697297i −0.897357 0.441305i \(-0.854516\pi\)
0.928403 + 0.371575i \(0.121182\pi\)
\(462\) 4.54565 + 21.3856i 0.211483 + 0.994948i
\(463\) −40.3379 + 13.1066i −1.87466 + 0.609115i −0.885021 + 0.465551i \(0.845856\pi\)
−0.989641 + 0.143563i \(0.954144\pi\)
\(464\) −2.13749 3.70225i −0.0992307 0.171873i
\(465\) 41.9815 14.1314i 1.94684 0.655328i
\(466\) 9.27701 + 5.35609i 0.429749 + 0.248116i
\(467\) −12.4822 38.4162i −0.577606 1.77769i −0.627128 0.778917i \(-0.715770\pi\)
0.0495212 0.998773i \(-0.484230\pi\)
\(468\) 0.395026 + 5.39066i 0.0182601 + 0.249183i
\(469\) −30.4344 + 22.1119i −1.40533 + 1.02103i
\(470\) −7.93659 4.58219i −0.366087 0.211361i
\(471\) 8.66856 15.0144i 0.399426 0.691826i
\(472\) −22.6411 10.0805i −1.04214 0.463991i
\(473\) 1.97701 2.72112i 0.0909030 0.125117i
\(474\) −40.3954 4.24573i −1.85542 0.195013i
\(475\) 47.8780 + 43.1095i 2.19679 + 1.97800i
\(476\) −5.37720 7.40109i −0.246464 0.339228i
\(477\) 8.07487 8.96805i 0.369723 0.410619i
\(478\) 23.7173 + 26.3407i 1.08480 + 1.20480i
\(479\) −5.56929 12.5088i −0.254467 0.571543i 0.740464 0.672095i \(-0.234606\pi\)
−0.994932 + 0.100553i \(0.967939\pi\)
\(480\) −11.0844 + 34.1141i −0.505929 + 1.55709i
\(481\) −20.7396 + 1.51979i −0.945647 + 0.0692966i
\(482\) 9.64759 + 7.00938i 0.439436 + 0.319269i
\(483\) −29.7576 + 26.7939i −1.35402 + 1.21916i
\(484\) 4.63146 + 0.984448i 0.210521 + 0.0447476i
\(485\) 1.81902 + 0.809881i 0.0825975 + 0.0367748i
\(486\) 26.2292 8.52237i 1.18978 0.386583i
\(487\) −16.7611 1.76166i −0.759518 0.0798286i −0.283151 0.959075i \(-0.591380\pi\)
−0.476367 + 0.879247i \(0.658047\pi\)
\(488\) 26.6000 + 2.79577i 1.20412 + 0.126559i
\(489\) −9.84593 13.5518i −0.445248 0.612832i
\(490\) 1.52861 + 2.64763i 0.0690556 + 0.119608i
\(491\) −0.329824 + 0.571271i −0.0148847 + 0.0257811i −0.873372 0.487054i \(-0.838071\pi\)
0.858487 + 0.512835i \(0.171405\pi\)
\(492\) 5.02294 0.527932i 0.226452 0.0238010i
\(493\) 1.12358 3.45801i 0.0506033 0.155741i
\(494\) −16.0572 + 44.5789i −0.722447 + 2.00570i
\(495\) 14.9929 0.673881
\(496\) 8.83990 + 26.2615i 0.396923 + 1.17918i
\(497\) −2.83761 + 4.91488i −0.127284 + 0.220463i
\(498\) 26.3746 29.2919i 1.18187 1.31260i
\(499\) −20.5372 6.67295i −0.919373 0.298722i −0.189163 0.981946i \(-0.560578\pi\)
−0.730209 + 0.683223i \(0.760578\pi\)
\(500\) 4.11023 9.23172i 0.183815 0.412855i
\(501\) −2.85390 + 1.64770i −0.127503 + 0.0736139i
\(502\) 26.3782i 1.17732i
\(503\) 15.0943 + 6.72043i 0.673023 + 0.299649i 0.714648 0.699484i \(-0.246587\pi\)
−0.0416252 + 0.999133i \(0.513254\pi\)
\(504\) 8.01333 3.56776i 0.356942 0.158921i
\(505\) −19.4499 43.6852i −0.865510 1.94397i
\(506\) −8.72413 26.8501i −0.387835 1.19363i
\(507\) −26.6114 + 9.88730i −1.18185 + 0.439110i
\(508\) 2.60318 + 8.01177i 0.115498 + 0.355465i
\(509\) 19.6381 17.6822i 0.870444 0.783752i −0.107152 0.994243i \(-0.534173\pi\)
0.977596 + 0.210491i \(0.0675063\pi\)
\(510\) −51.9135 + 23.1134i −2.29877 + 1.02348i
\(511\) 18.6092 3.95550i 0.823222 0.174981i
\(512\) −2.93051 0.952180i −0.129511 0.0420808i
\(513\) 20.8241 + 2.18870i 0.919405 + 0.0966334i
\(514\) −10.4639 49.2287i −0.461542 2.17139i
\(515\) −23.2113 + 7.54180i −1.02281 + 0.332331i
\(516\) 2.44428 + 1.08827i 0.107604 + 0.0479082i
\(517\) −3.39253 0.721104i −0.149203 0.0317141i
\(518\) −10.0946 22.6728i −0.443530 0.996185i
\(519\) −0.859916 0.624766i −0.0377461 0.0274242i
\(520\) −25.5327 0.806358i −1.11968 0.0353611i
\(521\) 33.6299 1.47335 0.736676 0.676246i \(-0.236394\pi\)
0.736676 + 0.676246i \(0.236394\pi\)
\(522\) −2.22038 1.28194i −0.0971836 0.0561090i
\(523\) 0.600599 + 5.71432i 0.0262624 + 0.249870i 0.999775 + 0.0212344i \(0.00675963\pi\)
−0.973512 + 0.228635i \(0.926574\pi\)
\(524\) 6.70345 1.42486i 0.292842 0.0622454i
\(525\) −43.8134 + 14.2358i −1.91217 + 0.621303i
\(526\) 31.9980 18.4740i 1.39518 0.805506i
\(527\) −11.5680 + 20.5330i −0.503910 + 0.894433i
\(528\) 25.2861i 1.10044i
\(529\) 19.2086 21.3333i 0.835156 0.927534i
\(530\) −28.0657 31.1702i −1.21910 1.35395i
\(531\) −22.4179 + 2.35621i −0.972852 + 0.102251i
\(532\) −16.8313 −0.729731
\(533\) 3.71618 + 9.11025i 0.160965 + 0.394609i
\(534\) 28.1051 20.4196i 1.21623 0.883642i
\(535\) −5.65832 12.7088i −0.244631 0.549450i
\(536\) −26.2090 + 11.6690i −1.13206 + 0.504025i
\(537\) 7.87273 8.74356i 0.339734 0.377312i
\(538\) −0.119800 0.164890i −0.00516493 0.00710892i
\(539\) 0.859838 + 0.774201i 0.0370358 + 0.0333472i
\(540\) −1.72607 8.12050i −0.0742780 0.349451i
\(541\) 0.309200 0.425578i 0.0132936 0.0182970i −0.802318 0.596896i \(-0.796400\pi\)
0.815612 + 0.578599i \(0.196400\pi\)
\(542\) 37.7394 8.02176i 1.62105 0.344564i
\(543\) 4.52816 + 5.02904i 0.194322 + 0.215817i
\(544\) −7.76227 17.4343i −0.332804 0.747491i
\(545\) −13.4696 + 41.4550i −0.576972 + 1.77574i
\(546\) −21.8648 25.8816i −0.935727 1.10763i
\(547\) 13.6977 9.95197i 0.585672 0.425516i −0.255092 0.966917i \(-0.582106\pi\)
0.840764 + 0.541401i \(0.182106\pi\)
\(548\) −1.55781 + 7.32890i −0.0665462 + 0.313075i
\(549\) 22.2234 9.89448i 0.948470 0.422286i
\(550\) 3.39509 32.3021i 0.144767 1.37737i
\(551\) −3.93206 5.41201i −0.167511 0.230559i
\(552\) −26.4466 + 15.2689i −1.12564 + 0.649889i
\(553\) 24.3420 14.0539i 1.03513 0.597632i
\(554\) −20.5717 28.3145i −0.874009 1.20297i
\(555\) −44.8829 + 9.54016i −1.90517 + 0.404957i
\(556\) −10.1701 2.16172i −0.431309 0.0916775i
\(557\) −4.90346 2.83102i −0.207766 0.119954i 0.392507 0.919749i \(-0.371608\pi\)
−0.600273 + 0.799795i \(0.704941\pi\)
\(558\) 12.4664 + 10.9891i 0.527744 + 0.465207i
\(559\) −0.708192 + 5.16398i −0.0299533 + 0.218413i
\(560\) −14.2875 43.9724i −0.603757 1.85817i
\(561\) −15.9823 + 14.3906i −0.674774 + 0.607570i
\(562\) 0.996386 + 9.47998i 0.0420300 + 0.399889i
\(563\) −19.5031 33.7803i −0.821957 1.42367i −0.904223 0.427061i \(-0.859549\pi\)
0.0822652 0.996610i \(-0.473785\pi\)
\(564\) 2.75899i 0.116175i
\(565\) −3.83760 + 8.61939i −0.161449 + 0.362621i
\(566\) −2.24096 0.235534i −0.0941944 0.00990023i
\(567\) −16.7541 + 23.0600i −0.703605 + 0.968429i
\(568\) −2.89606 + 3.21640i −0.121516 + 0.134957i
\(569\) 2.08195 + 19.8085i 0.0872801 + 0.830414i 0.947342 + 0.320224i \(0.103758\pi\)
−0.860062 + 0.510190i \(0.829575\pi\)
\(570\) −21.7375 + 102.267i −0.910485 + 4.28350i
\(571\) 7.45843 22.9547i 0.312126 0.960624i −0.664796 0.747025i \(-0.731481\pi\)
0.976921 0.213599i \(-0.0685186\pi\)
\(572\) 6.82788 1.98253i 0.285488 0.0828940i
\(573\) 6.06550 18.6677i 0.253390 0.779854i
\(574\) −8.72642 + 7.85730i −0.364234 + 0.327957i
\(575\) 54.3443 24.1956i 2.26631 1.00903i
\(576\) 4.05779 0.862511i 0.169075 0.0359380i
\(577\) −29.3708 + 9.54314i −1.22272 + 0.397286i −0.848072 0.529881i \(-0.822237\pi\)
−0.374648 + 0.927167i \(0.622237\pi\)
\(578\) 0.629323 1.41348i 0.0261764 0.0587931i
\(579\) 15.0071 + 13.5124i 0.623672 + 0.561557i
\(580\) −1.55900 + 2.14578i −0.0647341 + 0.0890988i
\(581\) −2.85113 + 27.1267i −0.118285 + 1.12541i
\(582\) 0.210523 + 2.00300i 0.00872647 + 0.0830268i
\(583\) −13.7471 7.93691i −0.569348 0.328713i
\(584\) 14.5090 0.600386
\(585\) −20.4780 + 10.9761i −0.846662 + 0.453807i
\(586\) −3.72545 + 11.4658i −0.153897 + 0.473646i
\(587\) −0.246228 + 1.15841i −0.0101629 + 0.0478128i −0.982937 0.183943i \(-0.941114\pi\)
0.972774 + 0.231756i \(0.0744471\pi\)
\(588\) −0.460198 + 0.797086i −0.0189782 + 0.0328713i
\(589\) 18.0527 + 39.4237i 0.743849 + 1.62442i
\(590\) 78.3467i 3.22548i
\(591\) −2.29149 2.06327i −0.0942593 0.0848715i
\(592\) −5.96785 28.0765i −0.245277 1.15394i
\(593\) 7.71403 + 10.6175i 0.316777 + 0.436007i 0.937480 0.348039i \(-0.113152\pi\)
−0.620702 + 0.784046i \(0.713152\pi\)
\(594\) −5.27807 9.14188i −0.216562 0.375096i
\(595\) 19.6621 34.0557i 0.806066 1.39615i
\(596\) −7.13243 + 0.749648i −0.292156 + 0.0307068i
\(597\) 21.0340 + 15.2821i 0.860866 + 0.625456i
\(598\) 31.5725 + 30.2863i 1.29109 + 1.23850i
\(599\) 6.20136 + 19.0858i 0.253381 + 0.779826i 0.994144 + 0.108060i \(0.0344639\pi\)
−0.740764 + 0.671766i \(0.765536\pi\)
\(600\) −34.9405 + 3.67240i −1.42644 + 0.149925i
\(601\) −11.3531 2.41317i −0.463101 0.0984352i −0.0295483 0.999563i \(-0.509407\pi\)
−0.433553 + 0.901128i \(0.642740\pi\)
\(602\) −6.08478 + 1.29336i −0.247997 + 0.0527134i
\(603\) −15.3374 + 21.1101i −0.624588 + 0.859672i
\(604\) −1.16382 5.47535i −0.0473552 0.222789i
\(605\) 4.23169 + 19.9085i 0.172043 + 0.809398i
\(606\) 28.4303 39.1309i 1.15490 1.58958i
\(607\) −38.8992 + 8.26827i −1.57887 + 0.335599i −0.912196 0.409753i \(-0.865615\pi\)
−0.666671 + 0.745352i \(0.732282\pi\)
\(608\) −34.3448 7.30021i −1.39286 0.296062i
\(609\) 4.75723 0.500005i 0.192773 0.0202612i
\(610\) −26.1278 80.4132i −1.05788 3.25583i
\(611\) 5.16159 1.49871i 0.208815 0.0606314i
\(612\) −5.13361 3.72978i −0.207514 0.150768i
\(613\) 43.9328 4.61752i 1.77443 0.186500i 0.839984 0.542611i \(-0.182564\pi\)
0.934444 + 0.356111i \(0.115898\pi\)
\(614\) 0.647384 1.12130i 0.0261263 0.0452520i
\(615\) 10.8551 + 18.8016i 0.437721 + 0.758155i
\(616\) −6.78201 9.33464i −0.273255 0.376103i
\(617\) 1.82436 + 8.58295i 0.0734460 + 0.345536i 0.999492 0.0318746i \(-0.0101477\pi\)
−0.926046 + 0.377411i \(0.876814\pi\)
\(618\) −18.3453 16.5182i −0.737955 0.664457i
\(619\) 10.0117i 0.402404i −0.979550 0.201202i \(-0.935515\pi\)
0.979550 0.201202i \(-0.0644848\pi\)
\(620\) 12.6540 11.6375i 0.508199 0.467374i
\(621\) 9.66680 16.7434i 0.387915 0.671889i
\(622\) −2.04660 + 9.62852i −0.0820614 + 0.386068i
\(623\) −7.42881 + 22.8635i −0.297629 + 0.916008i
\(624\) −18.5116 34.5369i −0.741058 1.38258i
\(625\) 2.07466 0.0829864
\(626\) 25.6955 + 14.8353i 1.02700 + 0.592937i
\(627\) 4.13602 + 39.3516i 0.165177 + 1.57155i
\(628\) 0.703342 6.69185i 0.0280664 0.267034i
\(629\) 14.3497 19.7507i 0.572160 0.787511i
\(630\) −20.6068 18.5544i −0.820994 0.739226i
\(631\) 3.60772 8.10308i 0.143621 0.322578i −0.827384 0.561636i \(-0.810172\pi\)
0.971005 + 0.239058i \(0.0768386\pi\)
\(632\) 20.3867 6.62404i 0.810939 0.263490i
\(633\) 37.6292 7.99834i 1.49563 0.317905i
\(634\) 50.5410 22.5023i 2.00724 0.893681i
\(635\) −26.9102 + 24.2301i −1.06790 + 0.961541i
\(636\) 3.90207 12.0093i 0.154727 0.476202i
\(637\) −1.74119 0.427963i −0.0689884 0.0169565i
\(638\) −1.04217 + 3.20746i −0.0412598 + 0.126984i
\(639\) −0.818444 + 3.85047i −0.0323771 + 0.152322i
\(640\) −4.94108 47.0112i −0.195313 1.85828i
\(641\) −11.6678 + 12.9584i −0.460850 + 0.511825i −0.928116 0.372291i \(-0.878572\pi\)
0.467266 + 0.884117i \(0.345239\pi\)
\(642\) 8.27087 11.3839i 0.326425 0.449286i
\(643\) −33.3409 3.50427i −1.31484 0.138195i −0.578986 0.815338i \(-0.696551\pi\)
−0.735852 + 0.677143i \(0.763218\pi\)
\(644\) −6.32111 + 14.1974i −0.249087 + 0.559458i
\(645\) 11.5012i 0.452859i
\(646\) −27.8131 48.1736i −1.09429 1.89537i
\(647\) 0.192221 + 1.82886i 0.00755699 + 0.0718999i 0.997650 0.0685102i \(-0.0218246\pi\)
−0.990093 + 0.140410i \(0.955158\pi\)
\(648\) −16.1544 + 14.5454i −0.634603 + 0.571399i
\(649\) 9.16261 + 28.1996i 0.359664 + 1.10693i
\(650\) 19.0108 + 46.6052i 0.745665 + 1.82801i
\(651\) −30.8676 2.91579i −1.20980 0.114279i
\(652\) −5.63020 3.25060i −0.220496 0.127303i
\(653\) 39.2746 + 8.34808i 1.53693 + 0.326685i 0.897100 0.441828i \(-0.145670\pi\)
0.639834 + 0.768513i \(0.279003\pi\)
\(654\) −43.1254 + 9.16659i −1.68634 + 0.358442i
\(655\) 17.3155 + 23.8327i 0.676571 + 0.931221i
\(656\) −11.7614 + 6.79042i −0.459204 + 0.265122i
\(657\) 11.4283 6.59812i 0.445859 0.257417i
\(658\) 3.77041 + 5.18952i 0.146986 + 0.202309i
\(659\) 3.21583 30.5966i 0.125271 1.19187i −0.733564 0.679621i \(-0.762144\pi\)
0.858835 0.512253i \(-0.171189\pi\)
\(660\) 14.3319 6.38099i 0.557870 0.248380i
\(661\) 5.40869 25.4459i 0.210374 0.989731i −0.738543 0.674206i \(-0.764486\pi\)
0.948917 0.315525i \(-0.102181\pi\)
\(662\) −25.9571 + 18.8589i −1.00885 + 0.732973i
\(663\) 11.2943 31.3558i 0.438633 1.21776i
\(664\) −6.42806 + 19.7835i −0.249457 + 0.767750i
\(665\) −29.4275 66.0953i −1.14115 2.56306i
\(666\) −11.5189 12.7931i −0.446350 0.495722i
\(667\) −6.04180 + 1.28423i −0.233940 + 0.0497254i
\(668\) −0.751766 + 1.03472i −0.0290867 + 0.0400344i
\(669\) 5.99628 + 28.2103i 0.231829 + 1.09067i
\(670\) 67.3982 + 60.6856i 2.60382 + 2.34449i
\(671\) −18.8086 25.8878i −0.726096 0.999386i
\(672\) 16.7999 18.6581i 0.648068 0.719753i
\(673\) −9.24456 + 4.11595i −0.356352 + 0.158658i −0.577101 0.816672i \(-0.695816\pi\)
0.220750 + 0.975330i \(0.429150\pi\)
\(674\) 16.1031 + 36.1681i 0.620267 + 1.39314i
\(675\) 17.9948 13.0740i 0.692619 0.503217i
\(676\) −7.87444 + 7.70645i −0.302863 + 0.296402i
\(677\) 12.1174 0.465710 0.232855 0.972512i \(-0.425193\pi\)
0.232855 + 0.972512i \(0.425193\pi\)
\(678\) −9.49115 + 0.997560i −0.364505 + 0.0383111i
\(679\) −0.932578 1.03573i −0.0357891 0.0397478i
\(680\) 20.0671 22.2868i 0.769538 0.854658i
\(681\) 45.0815i 1.72753i
\(682\) 10.7298 19.0453i 0.410866 0.729282i
\(683\) 8.84403 5.10610i 0.338407 0.195380i −0.321160 0.947025i \(-0.604073\pi\)
0.659567 + 0.751645i \(0.270739\pi\)
\(684\) −11.1033 + 3.60768i −0.424545 + 0.137943i
\(685\) −31.5036 + 6.69630i −1.20369 + 0.255852i
\(686\) −3.37226 32.0849i −0.128753 1.22501i
\(687\) 14.7973 + 8.54323i 0.564552 + 0.325944i
\(688\) −7.19457 −0.274291
\(689\) 24.5870 + 0.776491i 0.936690 + 0.0295819i
\(690\) 78.0999 + 56.7429i 2.97321 + 2.16016i
\(691\) 6.32967 + 14.2167i 0.240792 + 0.540828i 0.993002 0.118095i \(-0.0376789\pi\)
−0.752210 + 0.658923i \(0.771012\pi\)
\(692\) −0.403514 0.0857695i −0.0153393 0.00326047i
\(693\) −9.58700 4.26841i −0.364180 0.162143i
\(694\) 37.7081 12.2521i 1.43138 0.465083i
\(695\) −9.29226 43.7167i −0.352476 1.65827i
\(696\) 3.62801 + 0.381319i 0.137519 + 0.0144539i
\(697\) −10.9855 3.56939i −0.416104 0.135200i
\(698\) −29.0268 + 6.16985i −1.09868 + 0.233532i
\(699\) −12.6642 + 5.63845i −0.479003 + 0.213266i
\(700\) −13.2871 + 11.9637i −0.502205 + 0.452187i
\(701\) 4.06343 + 12.5060i 0.153474 + 0.472344i 0.998003 0.0631657i \(-0.0201197\pi\)
−0.844529 + 0.535509i \(0.820120\pi\)
\(702\) 13.9017 + 8.62240i 0.524685 + 0.325431i
\(703\) −13.8799 42.7181i −0.523492 1.61114i
\(704\) −2.21951 4.98509i −0.0836507 0.187883i
\(705\) 10.8343 4.82376i 0.408045 0.181673i
\(706\) −21.0567 9.37504i −0.792478 0.352834i
\(707\) 33.4712i 1.25881i
\(708\) −20.4267 + 11.7934i −0.767684 + 0.443223i
\(709\) −5.95118 + 13.3666i −0.223501 + 0.501992i −0.990139 0.140088i \(-0.955262\pi\)
0.766638 + 0.642080i \(0.221928\pi\)
\(710\) 13.0124 + 4.22798i 0.488346 + 0.158673i
\(711\) 13.0456 14.4886i 0.489249 0.543366i
\(712\) −9.16687 + 15.8775i −0.343543 + 0.595034i
\(713\) 40.0341 0.421889i 1.49929 0.0157999i
\(714\) 39.7756 1.48857
\(715\) 19.7229 + 23.3463i 0.737596 + 0.873102i
\(716\) 1.41108 4.34287i 0.0527346 0.162300i
\(717\) −45.6181 + 4.79466i −1.70364 + 0.179060i
\(718\) −14.6951 + 25.4526i −0.548415 + 0.949882i
\(719\) −10.8300 18.7581i −0.403890 0.699559i 0.590301 0.807183i \(-0.299009\pi\)
−0.994192 + 0.107624i \(0.965676\pi\)
\(720\) −18.8504 25.9453i −0.702511 0.966924i
\(721\) 16.9892 + 1.78564i 0.632712 + 0.0665007i
\(722\) −69.8965 7.34642i −2.60128 0.273405i
\(723\) −14.6770 + 4.76884i −0.545842 + 0.177355i
\(724\) 2.39937 + 1.06827i 0.0891718 + 0.0397018i
\(725\) −6.95093 1.47747i −0.258151 0.0548717i
\(726\) −15.2991 + 13.7754i −0.567804 + 0.511253i
\(727\) 34.4290 + 25.0141i 1.27690 + 0.927722i 0.999455 0.0330189i \(-0.0105122\pi\)
0.277446 + 0.960741i \(0.410512\pi\)
\(728\) 16.0970 + 7.78465i 0.596593 + 0.288518i
\(729\) −0.666480 + 2.05122i −0.0246845 + 0.0759709i
\(730\) −18.6554 41.9007i −0.690467 1.55081i
\(731\) −4.09450 4.54741i −0.151441 0.168192i
\(732\) 17.0325 18.9165i 0.629541 0.699176i
\(733\) 20.7768 + 28.5968i 0.767409 + 1.05625i 0.996561 + 0.0828577i \(0.0264047\pi\)
−0.229152 + 0.973391i \(0.573595\pi\)
\(734\) −36.3951 32.7703i −1.34337 1.20958i
\(735\) −3.93469 0.413552i −0.145133 0.0152541i
\(736\) −19.0562 + 26.2286i −0.702421 + 0.966799i
\(737\) 31.3560 + 13.9606i 1.15501 + 0.514245i
\(738\) −4.07249 + 7.05375i −0.149910 + 0.259652i
\(739\) −8.87263 5.12262i −0.326385 0.188439i 0.327850 0.944730i \(-0.393676\pi\)
−0.654235 + 0.756291i \(0.727009\pi\)
\(740\) −14.4075 + 10.4677i −0.529632 + 0.384800i
\(741\) −34.4580 50.7203i −1.26584 1.86326i
\(742\) 9.07224 + 27.9215i 0.333052 + 1.02503i
\(743\) −31.5519 18.2165i −1.15753 0.668298i −0.206816 0.978380i \(-0.566310\pi\)
−0.950710 + 0.310082i \(0.899643\pi\)
\(744\) −22.5638 7.06944i −0.827230 0.259178i
\(745\) −15.4140 26.6978i −0.564724 0.978131i
\(746\) 22.3149 7.25055i 0.817006 0.265461i
\(747\) 3.93359 + 18.5061i 0.143923 + 0.677102i
\(748\) −3.39497 + 7.62522i −0.124132 + 0.278806i
\(749\) 9.73736i 0.355795i
\(750\) 21.9686 + 38.0507i 0.802179 + 1.38942i
\(751\) −3.01400 28.6763i −0.109983 1.04641i −0.900762 0.434313i \(-0.856991\pi\)
0.790779 0.612101i \(-0.209676\pi\)
\(752\) 3.01750 + 6.77742i 0.110037 + 0.247147i
\(753\) 27.6167 + 20.0647i 1.00641 + 0.731199i
\(754\) −0.924702 5.14385i −0.0336757 0.187328i
\(755\) 19.4664 1