Properties

Label 552.2.bb.a.13.15
Level $552$
Weight $2$
Character 552.13
Analytic conductor $4.408$
Analytic rank $0$
Dimension $480$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 552 = 2^{3} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 552.bb (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.40774219157\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(48\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 13.15
Character \(\chi\) \(=\) 552.13
Dual form 552.2.bb.a.85.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.817442 - 1.15403i) q^{2} +(0.540641 - 0.841254i) q^{3} +(-0.663576 + 1.88671i) q^{4} +(-2.63955 - 1.20544i) q^{5} +(-1.41278 + 0.0637600i) q^{6} +(3.10238 + 0.910940i) q^{7} +(2.71975 - 0.776488i) q^{8} +(-0.415415 - 0.909632i) q^{9} +O(q^{10})\) \(q+(-0.817442 - 1.15403i) q^{2} +(0.540641 - 0.841254i) q^{3} +(-0.663576 + 1.88671i) q^{4} +(-2.63955 - 1.20544i) q^{5} +(-1.41278 + 0.0637600i) q^{6} +(3.10238 + 0.910940i) q^{7} +(2.71975 - 0.776488i) q^{8} +(-0.415415 - 0.909632i) q^{9} +(0.766563 + 4.03151i) q^{10} +(-1.24993 - 1.08307i) q^{11} +(1.22844 + 1.57827i) q^{12} +(-0.884534 - 3.01245i) q^{13} +(-1.48476 - 4.32488i) q^{14} +(-2.44113 + 1.56882i) q^{15} +(-3.11933 - 2.50395i) q^{16} +(-0.685217 - 4.76579i) q^{17} +(-0.710166 + 1.22297i) q^{18} +(-0.389769 - 0.0560403i) q^{19} +(4.02586 - 4.18016i) q^{20} +(2.44360 - 2.11739i) q^{21} +(-0.228152 + 2.32781i) q^{22} +(-4.70825 + 0.912357i) q^{23} +(0.817187 - 2.70780i) q^{24} +(2.23984 + 2.58491i) q^{25} +(-2.75340 + 3.48328i) q^{26} +(-0.989821 - 0.142315i) q^{27} +(-3.77734 + 5.24880i) q^{28} +(-4.10030 + 0.589534i) q^{29} +(3.80595 + 1.53472i) q^{30} +(-4.60234 + 2.95774i) q^{31} +(-0.339757 + 5.64664i) q^{32} +(-1.58690 + 0.465957i) q^{33} +(-4.93974 + 4.68652i) q^{34} +(-7.09080 - 6.14421i) q^{35} +(1.99187 - 0.180157i) q^{36} +(-3.39103 + 1.54863i) q^{37} +(0.253941 + 0.495615i) q^{38} +(-3.01245 - 0.884534i) q^{39} +(-8.11495 - 1.22893i) q^{40} +(1.52135 - 3.33129i) q^{41} +(-4.44104 - 1.08915i) q^{42} +(5.82692 - 9.06687i) q^{43} +(2.87287 - 1.63956i) q^{44} +2.90178i q^{45} +(4.90161 + 4.68767i) q^{46} +8.73791 q^{47} +(-3.79289 + 1.27041i) q^{48} +(2.90616 + 1.86768i) q^{49} +(1.15213 - 4.69787i) q^{50} +(-4.37969 - 2.00014i) q^{51} +(6.27056 + 0.330129i) q^{52} +(-3.74971 + 12.7704i) q^{53} +(0.644886 + 1.25862i) q^{54} +(1.99368 + 4.36555i) q^{55} +(9.14504 + 0.0685752i) q^{56} +(-0.257869 + 0.297597i) q^{57} +(4.03210 + 4.24996i) q^{58} +(-1.25320 - 4.26802i) q^{59} +(-1.34003 - 5.64674i) q^{60} +(-3.95379 - 6.15222i) q^{61} +(7.17548 + 2.89346i) q^{62} +(-0.460154 - 3.20044i) q^{63} +(6.79413 - 4.22371i) q^{64} +(-1.29656 + 9.01777i) q^{65} +(1.83493 + 1.45044i) q^{66} +(1.33024 - 1.15266i) q^{67} +(9.44634 + 1.86966i) q^{68} +(-1.77795 + 4.45409i) q^{69} +(-1.29429 + 13.2055i) q^{70} +(-8.80218 - 10.1583i) q^{71} +(-1.83615 - 2.15141i) q^{72} +(0.408778 - 2.84311i) q^{73} +(4.55913 + 2.64743i) q^{74} +(3.38552 - 0.486764i) q^{75} +(0.364373 - 0.698193i) q^{76} +(-2.89115 - 4.49871i) q^{77} +(1.44172 + 4.19951i) q^{78} +(-1.26059 + 0.370142i) q^{79} +(5.21528 + 10.3695i) q^{80} +(-0.654861 + 0.755750i) q^{81} +(-5.08802 + 0.967452i) q^{82} +(7.35078 - 3.35699i) q^{83} +(2.37339 + 6.01542i) q^{84} +(-3.93622 + 13.4055i) q^{85} +(-15.2266 + 0.687193i) q^{86} +(-1.72084 + 3.76812i) q^{87} +(-4.24050 - 1.97513i) q^{88} +(-0.761319 - 0.489270i) q^{89} +(3.34875 - 2.37204i) q^{90} -10.1515i q^{91} +(1.40293 - 9.48851i) q^{92} +5.47081i q^{93} +(-7.14274 - 10.0838i) q^{94} +(0.961262 + 0.617766i) q^{95} +(4.56657 + 3.33863i) q^{96} +(-4.43100 + 9.70254i) q^{97} +(-0.220263 - 4.88052i) q^{98} +(-0.465957 + 1.58690i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480q + 4q^{2} + 4q^{6} + 8q^{7} + 4q^{8} + 48q^{9} + O(q^{10}) \) \( 480q + 4q^{2} + 4q^{6} + 8q^{7} + 4q^{8} + 48q^{9} - 4q^{10} - 4q^{14} - 8q^{15} - 8q^{16} - 4q^{18} + 20q^{20} + 20q^{22} - 8q^{23} - 4q^{24} + 48q^{25} + 16q^{30} + 16q^{31} + 4q^{32} + 6q^{34} - 22q^{36} + 90q^{38} - 74q^{40} + 90q^{42} - 130q^{44} + 96q^{46} - 88q^{48} - 48q^{49} + 142q^{50} - 142q^{52} + 18q^{54} - 82q^{56} + 22q^{58} + 2q^{60} - 40q^{62} - 8q^{63} + 16q^{66} - 44q^{68} + 16q^{71} - 4q^{72} + 10q^{74} - 138q^{76} - 40q^{79} - 170q^{80} - 48q^{81} - 124q^{82} - 8q^{84} - 216q^{86} - 108q^{88} + 4q^{90} - 198q^{92} - 238q^{94} + 80q^{95} + 4q^{96} - 132q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(185\) \(277\) \(415\)
\(\chi(n)\) \(e\left(\frac{7}{11}\right)\) \(1\) \(-1\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.817442 1.15403i −0.578019 0.816023i
\(3\) 0.540641 0.841254i 0.312139 0.485698i
\(4\) −0.663576 + 1.88671i −0.331788 + 0.943354i
\(5\) −2.63955 1.20544i −1.18044 0.539091i −0.274129 0.961693i \(-0.588389\pi\)
−0.906315 + 0.422602i \(0.861117\pi\)
\(6\) −1.41278 + 0.0637600i −0.576763 + 0.0260299i
\(7\) 3.10238 + 0.910940i 1.17259 + 0.344303i 0.809312 0.587378i \(-0.199840\pi\)
0.363276 + 0.931682i \(0.381658\pi\)
\(8\) 2.71975 0.776488i 0.961579 0.274530i
\(9\) −0.415415 0.909632i −0.138472 0.303211i
\(10\) 0.766563 + 4.03151i 0.242409 + 1.27487i
\(11\) −1.24993 1.08307i −0.376869 0.326559i 0.445744 0.895160i \(-0.352939\pi\)
−0.822613 + 0.568602i \(0.807485\pi\)
\(12\) 1.22844 + 1.57827i 0.354621 + 0.455606i
\(13\) −0.884534 3.01245i −0.245326 0.835502i −0.986440 0.164123i \(-0.947520\pi\)
0.741114 0.671379i \(-0.234298\pi\)
\(14\) −1.48476 4.32488i −0.396819 1.15587i
\(15\) −2.44113 + 1.56882i −0.630298 + 0.405068i
\(16\) −3.11933 2.50395i −0.779834 0.625987i
\(17\) −0.685217 4.76579i −0.166189 1.15587i −0.886672 0.462400i \(-0.846989\pi\)
0.720482 0.693473i \(-0.243921\pi\)
\(18\) −0.710166 + 1.22297i −0.167388 + 0.288258i
\(19\) −0.389769 0.0560403i −0.0894191 0.0128565i 0.0974600 0.995239i \(-0.468928\pi\)
−0.186879 + 0.982383i \(0.559837\pi\)
\(20\) 4.02586 4.18016i 0.900210 0.934713i
\(21\) 2.44360 2.11739i 0.533238 0.462053i
\(22\) −0.228152 + 2.32781i −0.0486421 + 0.496291i
\(23\) −4.70825 + 0.912357i −0.981738 + 0.190240i
\(24\) 0.817187 2.70780i 0.166808 0.552728i
\(25\) 2.23984 + 2.58491i 0.447968 + 0.516983i
\(26\) −2.75340 + 3.48328i −0.539987 + 0.683128i
\(27\) −0.989821 0.142315i −0.190491 0.0273885i
\(28\) −3.77734 + 5.24880i −0.713850 + 0.991930i
\(29\) −4.10030 + 0.589534i −0.761406 + 0.109474i −0.512070 0.858943i \(-0.671121\pi\)
−0.249336 + 0.968417i \(0.580212\pi\)
\(30\) 3.80595 + 1.53472i 0.694869 + 0.280201i
\(31\) −4.60234 + 2.95774i −0.826605 + 0.531227i −0.884197 0.467114i \(-0.845294\pi\)
0.0575927 + 0.998340i \(0.481658\pi\)
\(32\) −0.339757 + 5.64664i −0.0600612 + 0.998195i
\(33\) −1.58690 + 0.465957i −0.276244 + 0.0811126i
\(34\) −4.93974 + 4.68652i −0.847159 + 0.803731i
\(35\) −7.09080 6.14421i −1.19856 1.03856i
\(36\) 1.99187 0.180157i 0.331978 0.0300262i
\(37\) −3.39103 + 1.54863i −0.557481 + 0.254593i −0.674171 0.738575i \(-0.735499\pi\)
0.116690 + 0.993168i \(0.462772\pi\)
\(38\) 0.253941 + 0.495615i 0.0411947 + 0.0803994i
\(39\) −3.01245 0.884534i −0.482378 0.141639i
\(40\) −8.11495 1.22893i −1.28309 0.194311i
\(41\) 1.52135 3.33129i 0.237595 0.520259i −0.752847 0.658196i \(-0.771320\pi\)
0.990441 + 0.137937i \(0.0440470\pi\)
\(42\) −4.44104 1.08915i −0.685268 0.168059i
\(43\) 5.82692 9.06687i 0.888597 1.38268i −0.0350272 0.999386i \(-0.511152\pi\)
0.923625 0.383298i \(-0.125212\pi\)
\(44\) 2.87287 1.63956i 0.433101 0.247172i
\(45\) 2.90178i 0.432572i
\(46\) 4.90161 + 4.68767i 0.722703 + 0.691159i
\(47\) 8.73791 1.27456 0.637278 0.770634i \(-0.280060\pi\)
0.637278 + 0.770634i \(0.280060\pi\)
\(48\) −3.79289 + 1.27041i −0.547457 + 0.183369i
\(49\) 2.90616 + 1.86768i 0.415166 + 0.266811i
\(50\) 1.15213 4.69787i 0.162936 0.664378i
\(51\) −4.37969 2.00014i −0.613279 0.280075i
\(52\) 6.27056 + 0.330129i 0.869571 + 0.0457807i
\(53\) −3.74971 + 12.7704i −0.515063 + 1.75414i 0.131535 + 0.991312i \(0.458009\pi\)
−0.646598 + 0.762831i \(0.723809\pi\)
\(54\) 0.644886 + 1.25862i 0.0877579 + 0.171276i
\(55\) 1.99368 + 4.36555i 0.268828 + 0.588650i
\(56\) 9.14504 + 0.0685752i 1.22206 + 0.00916374i
\(57\) −0.257869 + 0.297597i −0.0341556 + 0.0394177i
\(58\) 4.03210 + 4.24996i 0.529440 + 0.558047i
\(59\) −1.25320 4.26802i −0.163153 0.555649i −0.999967 0.00816090i \(-0.997402\pi\)
0.836813 0.547488i \(-0.184416\pi\)
\(60\) −1.34003 5.64674i −0.172997 0.728991i
\(61\) −3.95379 6.15222i −0.506231 0.787711i 0.490245 0.871584i \(-0.336907\pi\)
−0.996476 + 0.0838737i \(0.973271\pi\)
\(62\) 7.17548 + 2.89346i 0.911286 + 0.367470i
\(63\) −0.460154 3.20044i −0.0579739 0.403218i
\(64\) 6.79413 4.22371i 0.849267 0.527964i
\(65\) −1.29656 + 9.01777i −0.160818 + 1.11852i
\(66\) 1.83493 + 1.45044i 0.225864 + 0.178537i
\(67\) 1.33024 1.15266i 0.162515 0.140820i −0.569807 0.821778i \(-0.692982\pi\)
0.732322 + 0.680959i \(0.238437\pi\)
\(68\) 9.44634 + 1.86966i 1.14554 + 0.226729i
\(69\) −1.77795 + 4.45409i −0.214040 + 0.536209i
\(70\) −1.29429 + 13.2055i −0.154698 + 1.57836i
\(71\) −8.80218 10.1583i −1.04463 1.20556i −0.978177 0.207773i \(-0.933378\pi\)
−0.0664494 0.997790i \(-0.521167\pi\)
\(72\) −1.83615 2.15141i −0.216392 0.253546i
\(73\) 0.408778 2.84311i 0.0478438 0.332761i −0.951816 0.306670i \(-0.900785\pi\)
0.999660 0.0260906i \(-0.00830584\pi\)
\(74\) 4.55913 + 2.64743i 0.529989 + 0.307758i
\(75\) 3.38552 0.486764i 0.390926 0.0562067i
\(76\) 0.364373 0.698193i 0.0417964 0.0800883i
\(77\) −2.89115 4.49871i −0.329477 0.512676i
\(78\) 1.44172 + 4.19951i 0.163243 + 0.475501i
\(79\) −1.26059 + 0.370142i −0.141827 + 0.0416442i −0.351876 0.936047i \(-0.614456\pi\)
0.210048 + 0.977691i \(0.432638\pi\)
\(80\) 5.21528 + 10.3695i 0.583086 + 1.15934i
\(81\) −0.654861 + 0.755750i −0.0727623 + 0.0839722i
\(82\) −5.08802 + 0.967452i −0.561878 + 0.106837i
\(83\) 7.35078 3.35699i 0.806852 0.368477i 0.0311014 0.999516i \(-0.490099\pi\)
0.775751 + 0.631039i \(0.217371\pi\)
\(84\) 2.37339 + 6.01542i 0.258958 + 0.656336i
\(85\) −3.93622 + 13.4055i −0.426943 + 1.45403i
\(86\) −15.2266 + 0.687193i −1.64193 + 0.0741019i
\(87\) −1.72084 + 3.76812i −0.184494 + 0.403984i
\(88\) −4.24050 1.97513i −0.452039 0.210550i
\(89\) −0.761319 0.489270i −0.0806996 0.0518625i 0.499669 0.866217i \(-0.333455\pi\)
−0.580368 + 0.814354i \(0.697091\pi\)
\(90\) 3.34875 2.37204i 0.352989 0.250035i
\(91\) 10.1515i 1.06417i
\(92\) 1.40293 9.48851i 0.146265 0.989245i
\(93\) 5.47081i 0.567297i
\(94\) −7.14274 10.0838i −0.736718 1.04007i
\(95\) 0.961262 + 0.617766i 0.0986234 + 0.0633814i
\(96\) 4.56657 + 3.33863i 0.466074 + 0.340747i
\(97\) −4.43100 + 9.70254i −0.449900 + 0.985144i 0.539774 + 0.841810i \(0.318510\pi\)
−0.989674 + 0.143334i \(0.954218\pi\)
\(98\) −0.220263 4.88052i −0.0222499 0.493007i
\(99\) −0.465957 + 1.58690i −0.0468304 + 0.159490i
\(100\) −6.36328 + 2.51064i −0.636328 + 0.251064i
\(101\) 17.6857 8.07677i 1.75979 0.803669i 0.774544 0.632520i \(-0.217979\pi\)
0.985245 0.171149i \(-0.0547478\pi\)
\(102\) 1.27192 + 6.68930i 0.125939 + 0.662339i
\(103\) 1.86962 2.15765i 0.184219 0.212600i −0.656127 0.754651i \(-0.727806\pi\)
0.840346 + 0.542051i \(0.182352\pi\)
\(104\) −4.74485 7.50629i −0.465270 0.736052i
\(105\) −9.00242 + 2.64335i −0.878546 + 0.257964i
\(106\) 17.8026 6.11174i 1.72914 0.593625i
\(107\) −5.97553 9.29811i −0.577677 0.898882i 0.422295 0.906459i \(-0.361225\pi\)
−0.999971 + 0.00757633i \(0.997588\pi\)
\(108\) 0.925328 1.77307i 0.0890397 0.170613i
\(109\) −2.95934 + 0.425488i −0.283453 + 0.0407544i −0.282575 0.959245i \(-0.591189\pi\)
−0.000878016 1.00000i \(0.500279\pi\)
\(110\) 3.40826 5.86935i 0.324965 0.559621i
\(111\) −0.530537 + 3.68996i −0.0503563 + 0.350236i
\(112\) −7.39641 10.6097i −0.698895 1.00252i
\(113\) 10.5461 + 12.1709i 0.992096 + 1.14494i 0.989440 + 0.144944i \(0.0463001\pi\)
0.00265623 + 0.999996i \(0.499154\pi\)
\(114\) 0.554229 + 0.0543207i 0.0519083 + 0.00508760i
\(115\) 13.5275 + 3.26731i 1.26144 + 0.304678i
\(116\) 1.60858 8.12727i 0.149353 0.754598i
\(117\) −2.37277 + 2.05602i −0.219363 + 0.190079i
\(118\) −3.90101 + 4.93510i −0.359117 + 0.454313i
\(119\) 2.21555 15.4095i 0.203099 1.41258i
\(120\) −5.42111 + 6.16232i −0.494878 + 0.562540i
\(121\) −1.17618 8.18050i −0.106925 0.743682i
\(122\) −3.86785 + 9.59188i −0.350179 + 0.868408i
\(123\) −1.97995 3.08087i −0.178526 0.277792i
\(124\) −2.52640 10.6460i −0.226877 0.956035i
\(125\) 1.29142 + 4.39817i 0.115508 + 0.393384i
\(126\) −3.31726 + 3.14721i −0.295525 + 0.280376i
\(127\) 2.29087 2.64381i 0.203282 0.234600i −0.644950 0.764225i \(-0.723122\pi\)
0.848232 + 0.529625i \(0.177667\pi\)
\(128\) −10.4281 4.38800i −0.921723 0.387848i
\(129\) −4.47726 9.80384i −0.394201 0.863180i
\(130\) 11.4666 5.87524i 1.00569 0.515292i
\(131\) −0.608616 + 2.07276i −0.0531751 + 0.181098i −0.981798 0.189926i \(-0.939175\pi\)
0.928623 + 0.371024i \(0.120993\pi\)
\(132\) 0.173906 3.30322i 0.0151366 0.287508i
\(133\) −1.15816 0.528914i −0.100425 0.0458627i
\(134\) −2.41760 0.592906i −0.208849 0.0512193i
\(135\) 2.44113 + 1.56882i 0.210099 + 0.135023i
\(136\) −5.56420 12.4297i −0.477126 1.06584i
\(137\) 12.8472 1.09761 0.548805 0.835950i \(-0.315083\pi\)
0.548805 + 0.835950i \(0.315083\pi\)
\(138\) 6.59353 1.58915i 0.561278 0.135278i
\(139\) 6.43812i 0.546074i 0.962003 + 0.273037i \(0.0880282\pi\)
−0.962003 + 0.273037i \(0.911972\pi\)
\(140\) 16.2976 9.30112i 1.37740 0.786088i
\(141\) 4.72407 7.35080i 0.397839 0.619049i
\(142\) −4.52767 + 18.4618i −0.379954 + 1.54928i
\(143\) −2.15709 + 4.72337i −0.180385 + 0.394988i
\(144\) −0.981853 + 3.87762i −0.0818210 + 0.323135i
\(145\) 11.5336 + 3.38657i 0.957813 + 0.281239i
\(146\) −3.61519 + 1.85234i −0.299195 + 0.153301i
\(147\) 3.14238 1.43508i 0.259179 0.118363i
\(148\) −0.671609 7.42551i −0.0552059 0.610373i
\(149\) 13.3170 + 11.5392i 1.09097 + 0.945331i 0.998729 0.0504057i \(-0.0160514\pi\)
0.0922413 + 0.995737i \(0.470597\pi\)
\(150\) −3.32921 3.50909i −0.271829 0.286516i
\(151\) 15.2149 4.46750i 1.23817 0.363560i 0.403844 0.914828i \(-0.367674\pi\)
0.834329 + 0.551267i \(0.185856\pi\)
\(152\) −1.10359 + 0.150235i −0.0895130 + 0.0121857i
\(153\) −4.05046 + 2.60307i −0.327461 + 0.210446i
\(154\) −2.82831 + 7.01391i −0.227912 + 0.565197i
\(155\) 15.7135 2.25926i 1.26214 0.181468i
\(156\) 3.66784 5.09665i 0.293663 0.408059i
\(157\) 8.00036 + 1.15028i 0.638498 + 0.0918022i 0.453958 0.891023i \(-0.350011\pi\)
0.184540 + 0.982825i \(0.440921\pi\)
\(158\) 1.45761 + 1.15219i 0.115961 + 0.0916631i
\(159\) 8.71586 + 10.0586i 0.691212 + 0.797702i
\(160\) 7.70351 14.4951i 0.609016 1.14593i
\(161\) −15.4379 1.45846i −1.21667 0.114942i
\(162\) 1.40747 + 0.137948i 0.110581 + 0.0108382i
\(163\) −1.01116 + 0.876175i −0.0792002 + 0.0686274i −0.693561 0.720398i \(-0.743959\pi\)
0.614361 + 0.789025i \(0.289414\pi\)
\(164\) 5.27563 + 5.08090i 0.411958 + 0.396752i
\(165\) 4.75040 + 0.683004i 0.369818 + 0.0531718i
\(166\) −9.88290 5.73888i −0.767062 0.445424i
\(167\) −3.03690 21.1221i −0.235002 1.63447i −0.675954 0.736944i \(-0.736268\pi\)
0.440952 0.897531i \(-0.354641\pi\)
\(168\) 5.00187 7.65622i 0.385903 0.590690i
\(169\) 2.64386 1.69911i 0.203374 0.130700i
\(170\) 18.6880 6.41573i 1.43331 0.492064i
\(171\) 0.110940 + 0.377826i 0.00848378 + 0.0288931i
\(172\) 13.2399 + 17.0103i 1.00954 + 1.29702i
\(173\) −0.942503 0.816684i −0.0716572 0.0620913i 0.618296 0.785945i \(-0.287823\pi\)
−0.689953 + 0.723854i \(0.742369\pi\)
\(174\) 5.75521 1.09431i 0.436301 0.0829597i
\(175\) 4.59413 + 10.0597i 0.347284 + 0.760445i
\(176\) 1.18700 + 6.50823i 0.0894735 + 0.490576i
\(177\) −4.26802 1.25320i −0.320804 0.0941966i
\(178\) 0.0577016 + 1.27854i 0.00432492 + 0.0958303i
\(179\) 23.7424 + 10.8428i 1.77459 + 0.810427i 0.978791 + 0.204863i \(0.0656749\pi\)
0.795797 + 0.605564i \(0.207052\pi\)
\(180\) −5.47481 1.92555i −0.408068 0.143522i
\(181\) 1.07296 1.66955i 0.0797521 0.124097i −0.799086 0.601217i \(-0.794683\pi\)
0.878838 + 0.477120i \(0.158319\pi\)
\(182\) −11.7152 + 8.29827i −0.868385 + 0.615109i
\(183\) −7.31316 −0.540604
\(184\) −12.0968 + 6.13729i −0.891791 + 0.452447i
\(185\) 10.8176 0.795324
\(186\) 6.31349 4.47207i 0.462927 0.327908i
\(187\) −4.30522 + 6.69905i −0.314829 + 0.489883i
\(188\) −5.79827 + 16.4859i −0.422882 + 1.20236i
\(189\) −2.94116 1.34318i −0.213938 0.0977022i
\(190\) −0.0728556 1.61431i −0.00528550 0.117115i
\(191\) −16.2361 4.76735i −1.17480 0.344953i −0.364634 0.931151i \(-0.618806\pi\)
−0.810168 + 0.586198i \(0.800624\pi\)
\(192\) 0.119971 7.99910i 0.00865817 0.577285i
\(193\) −10.8368 23.7294i −0.780052 1.70808i −0.703154 0.711037i \(-0.748226\pi\)
−0.0768979 0.997039i \(-0.524502\pi\)
\(194\) 14.8191 2.81776i 1.06395 0.202303i
\(195\) 6.88526 + 5.96611i 0.493063 + 0.427242i
\(196\) −5.45221 + 4.24373i −0.389444 + 0.303124i
\(197\) −1.70982 5.82310i −0.121819 0.414879i 0.875891 0.482509i \(-0.160274\pi\)
−0.997710 + 0.0676302i \(0.978456\pi\)
\(198\) 2.21223 0.759473i 0.157216 0.0539734i
\(199\) 11.9882 7.70434i 0.849820 0.546146i −0.0416984 0.999130i \(-0.513277\pi\)
0.891519 + 0.452984i \(0.149641\pi\)
\(200\) 8.09897 + 5.29112i 0.572684 + 0.374139i
\(201\) −0.250497 1.74225i −0.0176687 0.122889i
\(202\) −23.7779 13.8075i −1.67300 0.971493i
\(203\) −13.2577 1.90617i −0.930508 0.133787i
\(204\) 6.67993 6.93596i 0.467689 0.485614i
\(205\) −8.03135 + 6.95921i −0.560934 + 0.486052i
\(206\) −4.01830 0.393839i −0.279969 0.0274401i
\(207\) 2.78579 + 3.90377i 0.193626 + 0.271331i
\(208\) −4.78385 + 11.6117i −0.331700 + 0.805124i
\(209\) 0.426489 + 0.492194i 0.0295009 + 0.0340458i
\(210\) 10.4095 + 8.22829i 0.718321 + 0.567806i
\(211\) 6.54025 + 0.940346i 0.450249 + 0.0647361i 0.363710 0.931512i \(-0.381510\pi\)
0.0865395 + 0.996248i \(0.472419\pi\)
\(212\) −21.6057 15.5487i −1.48389 1.06789i
\(213\) −13.3045 + 1.91290i −0.911608 + 0.131069i
\(214\) −5.84566 + 14.4966i −0.399601 + 0.990969i
\(215\) −26.3101 + 16.9085i −1.79433 + 1.15315i
\(216\) −2.80258 + 0.381523i −0.190691 + 0.0259594i
\(217\) −16.9725 + 4.98358i −1.15217 + 0.338308i
\(218\) 2.91011 + 3.06735i 0.197098 + 0.207747i
\(219\) −2.17078 1.88099i −0.146687 0.127105i
\(220\) −9.55947 + 0.864618i −0.644499 + 0.0582925i
\(221\) −13.7506 + 6.27968i −0.924964 + 0.422417i
\(222\) 4.69202 2.40408i 0.314908 0.161351i
\(223\) 28.2291 + 8.28880i 1.89036 + 0.555059i 0.993662 + 0.112413i \(0.0358580\pi\)
0.896696 + 0.442646i \(0.145960\pi\)
\(224\) −6.19781 + 17.2085i −0.414109 + 1.14979i
\(225\) 1.42086 3.11124i 0.0947238 0.207416i
\(226\) 5.42472 22.1196i 0.360847 1.47137i
\(227\) −15.6784 + 24.3960i −1.04061 + 1.61922i −0.291746 + 0.956496i \(0.594236\pi\)
−0.748864 + 0.662724i \(0.769400\pi\)
\(228\) −0.390363 0.684002i −0.0258524 0.0452991i
\(229\) 22.1268i 1.46218i 0.682282 + 0.731089i \(0.260988\pi\)
−0.682282 + 0.731089i \(0.739012\pi\)
\(230\) −7.28734 18.2820i −0.480513 1.20548i
\(231\) −5.34763 −0.351848
\(232\) −10.6940 + 4.78722i −0.702098 + 0.314296i
\(233\) −6.17433 3.96800i −0.404494 0.259952i 0.322538 0.946557i \(-0.395464\pi\)
−0.727031 + 0.686604i \(0.759100\pi\)
\(234\) 4.31231 + 1.05757i 0.281904 + 0.0691358i
\(235\) −23.0642 10.5331i −1.50454 0.687101i
\(236\) 8.88411 + 0.467725i 0.578306 + 0.0304463i
\(237\) −0.370142 + 1.26059i −0.0240433 + 0.0818840i
\(238\) −19.5941 + 10.0395i −1.27010 + 0.650767i
\(239\) 0.444260 + 0.972794i 0.0287368 + 0.0629248i 0.923456 0.383704i \(-0.125352\pi\)
−0.894719 + 0.446629i \(0.852624\pi\)
\(240\) 11.5430 + 1.21879i 0.745095 + 0.0786727i
\(241\) 11.2918 13.0314i 0.727369 0.839429i −0.264803 0.964302i \(-0.585307\pi\)
0.992173 + 0.124873i \(0.0398525\pi\)
\(242\) −8.47910 + 8.04444i −0.545057 + 0.517116i
\(243\) 0.281733 + 0.959493i 0.0180732 + 0.0615515i
\(244\) 14.2311 3.37718i 0.911051 0.216202i
\(245\) −5.41958 8.43304i −0.346245 0.538767i
\(246\) −1.93692 + 4.80336i −0.123493 + 0.306251i
\(247\) 0.175946 + 1.22373i 0.0111951 + 0.0778639i
\(248\) −10.2206 + 11.6180i −0.649008 + 0.737744i
\(249\) 1.15005 7.99879i 0.0728816 0.506903i
\(250\) 4.01997 5.08559i 0.254245 0.321641i
\(251\) 2.84520 2.46538i 0.179587 0.155613i −0.560428 0.828203i \(-0.689363\pi\)
0.740016 + 0.672590i \(0.234818\pi\)
\(252\) 6.34364 + 1.25556i 0.399612 + 0.0790928i
\(253\) 6.87314 + 3.95899i 0.432111 + 0.248899i
\(254\) −4.92369 0.482578i −0.308940 0.0302796i
\(255\) 9.14937 + 10.5589i 0.572956 + 0.661226i
\(256\) 3.46049 + 15.6213i 0.216281 + 0.976331i
\(257\) −2.74839 + 19.1155i −0.171440 + 1.19239i 0.704405 + 0.709799i \(0.251214\pi\)
−0.875845 + 0.482593i \(0.839695\pi\)
\(258\) −7.65403 + 13.1810i −0.476519 + 0.820612i
\(259\) −11.9310 + 1.71541i −0.741353 + 0.106590i
\(260\) −16.1535 8.43020i −1.00180 0.522819i
\(261\) 2.23958 + 3.48486i 0.138627 + 0.215707i
\(262\) 2.88953 0.991997i 0.178516 0.0612858i
\(263\) −14.2737 + 4.19112i −0.880152 + 0.258436i −0.690427 0.723402i \(-0.742578\pi\)
−0.189724 + 0.981837i \(0.560759\pi\)
\(264\) −3.95418 + 2.49950i −0.243363 + 0.153833i
\(265\) 25.2915 29.1880i 1.55364 1.79300i
\(266\) 0.336346 + 1.76891i 0.0206227 + 0.108459i
\(267\) −0.823200 + 0.375943i −0.0503790 + 0.0230073i
\(268\) 1.29202 + 3.27466i 0.0789226 + 0.200031i
\(269\) −7.50016 + 25.5432i −0.457293 + 1.55740i 0.331938 + 0.943301i \(0.392297\pi\)
−0.789231 + 0.614096i \(0.789521\pi\)
\(270\) −0.185017 4.09956i −0.0112598 0.249492i
\(271\) −2.87150 + 6.28771i −0.174431 + 0.381951i −0.976574 0.215181i \(-0.930966\pi\)
0.802143 + 0.597132i \(0.203693\pi\)
\(272\) −9.79586 + 16.5818i −0.593961 + 1.00542i
\(273\) −8.53999 5.48832i −0.516864 0.332168i
\(274\) −10.5019 14.8261i −0.634440 0.895676i
\(275\) 5.65688i 0.341122i
\(276\) −7.22376 6.31009i −0.434819 0.379823i
\(277\) 2.91857i 0.175360i 0.996149 + 0.0876799i \(0.0279453\pi\)
−0.996149 + 0.0876799i \(0.972055\pi\)
\(278\) 7.42979 5.26279i 0.445609 0.315641i
\(279\) 4.60234 + 2.95774i 0.275535 + 0.177076i
\(280\) −24.0562 11.2048i −1.43763 0.669617i
\(281\) −8.03880 + 17.6025i −0.479555 + 1.05008i 0.503031 + 0.864268i \(0.332218\pi\)
−0.982586 + 0.185810i \(0.940509\pi\)
\(282\) −12.3447 + 0.557129i −0.735117 + 0.0331766i
\(283\) 5.26341 17.9255i 0.312877 1.06556i −0.641541 0.767089i \(-0.721705\pi\)
0.954418 0.298473i \(-0.0964772\pi\)
\(284\) 25.0066 9.86637i 1.48387 0.585461i
\(285\) 1.03940 0.474676i 0.0615685 0.0281174i
\(286\) 7.21421 1.37173i 0.426585 0.0811122i
\(287\) 7.75440 8.94905i 0.457727 0.528246i
\(288\) 5.27751 2.03665i 0.310980 0.120010i
\(289\) −5.93182 + 1.74174i −0.348931 + 0.102455i
\(290\) −5.51985 16.0785i −0.324137 0.944160i
\(291\) 5.76672 + 8.97319i 0.338051 + 0.526018i
\(292\) 5.09287 + 2.65786i 0.298037 + 0.155540i
\(293\) 0.775885 0.111555i 0.0453277 0.00651714i −0.119614 0.992821i \(-0.538166\pi\)
0.164941 + 0.986303i \(0.447257\pi\)
\(294\) −4.22483 2.45331i −0.246397 0.143080i
\(295\) −1.83696 + 12.7763i −0.106952 + 0.743867i
\(296\) −8.02027 + 6.84498i −0.466168 + 0.397857i
\(297\) 1.08307 + 1.24993i 0.0628462 + 0.0725284i
\(298\) 2.43077 24.8009i 0.140811 1.43668i
\(299\) 6.91303 + 13.3763i 0.399791 + 0.773574i
\(300\) −1.32817 + 6.71049i −0.0766817 + 0.387430i
\(301\) 26.3367 22.8209i 1.51802 1.31537i
\(302\) −17.5930 13.9066i −1.01236 0.800233i
\(303\) 2.76698 19.2448i 0.158959 1.10558i
\(304\) 1.07550 + 1.15077i 0.0616840 + 0.0660012i
\(305\) 3.02009 + 21.0052i 0.172930 + 1.20275i
\(306\) 6.31505 + 2.54650i 0.361007 + 0.145574i
\(307\) −16.4233 25.5551i −0.937325 1.45851i −0.888064 0.459720i \(-0.847950\pi\)
−0.0492612 0.998786i \(-0.515687\pi\)
\(308\) 10.4063 2.46951i 0.592951 0.140714i
\(309\) −0.804342 2.73934i −0.0457574 0.155836i
\(310\) −15.4521 16.2871i −0.877623 0.925043i
\(311\) 3.62696 4.18573i 0.205666 0.237351i −0.643541 0.765412i \(-0.722535\pi\)
0.849206 + 0.528061i \(0.177081\pi\)
\(312\) −8.87995 0.0665873i −0.502728 0.00376977i
\(313\) 11.3612 + 24.8775i 0.642172 + 1.40616i 0.898242 + 0.439501i \(0.144845\pi\)
−0.256070 + 0.966658i \(0.582428\pi\)
\(314\) −5.21238 10.1730i −0.294151 0.574093i
\(315\) −2.64335 + 9.00242i −0.148936 + 0.507229i
\(316\) 0.138146 2.62398i 0.00777130 0.147610i
\(317\) −18.8181 8.59394i −1.05693 0.482683i −0.190347 0.981717i \(-0.560961\pi\)
−0.866583 + 0.499033i \(0.833688\pi\)
\(318\) 4.48327 18.2807i 0.251409 1.02513i
\(319\) 5.76360 + 3.70404i 0.322700 + 0.207386i
\(320\) −23.0249 + 2.95877i −1.28713 + 0.165400i
\(321\) −11.0527 −0.616901
\(322\) 10.9365 + 19.0080i 0.609465 + 1.05927i
\(323\) 1.89596i 0.105494i
\(324\) −0.991329 1.73703i −0.0550738 0.0965016i
\(325\) 5.80570 9.03385i 0.322042 0.501108i
\(326\) 1.83770 + 0.450688i 0.101781 + 0.0249613i
\(327\) −1.24199 + 2.71959i −0.0686824 + 0.150394i
\(328\) 1.55099 10.2416i 0.0856390 0.565497i
\(329\) 27.1083 + 7.95972i 1.49453 + 0.438833i
\(330\) −3.09497 6.04042i −0.170372 0.332514i
\(331\) −18.9367 + 8.64808i −1.04085 + 0.475342i −0.861135 0.508376i \(-0.830246\pi\)
−0.179718 + 0.983718i \(0.557519\pi\)
\(332\) 1.45586 + 16.0964i 0.0799005 + 0.883404i
\(333\) 2.81737 + 2.44126i 0.154391 + 0.133780i
\(334\) −21.8930 + 20.7707i −1.19793 + 1.13652i
\(335\) −4.90071 + 1.43898i −0.267754 + 0.0786198i
\(336\) −12.9243 + 0.486206i −0.705076 + 0.0265247i
\(337\) 2.73466 1.75746i 0.148967 0.0957350i −0.464034 0.885817i \(-0.653599\pi\)
0.613001 + 0.790082i \(0.289962\pi\)
\(338\) −4.12202 1.66218i −0.224209 0.0904105i
\(339\) 15.9405 2.29189i 0.865767 0.124479i
\(340\) −22.6804 16.3221i −1.23001 0.885190i
\(341\) 8.95606 + 1.28769i 0.484998 + 0.0697322i
\(342\) 0.345336 0.436879i 0.0186737 0.0236237i
\(343\) −7.50710 8.66365i −0.405345 0.467793i
\(344\) 8.80749 29.1842i 0.474868 1.57351i
\(345\) 10.0621 9.61359i 0.541727 0.517578i
\(346\) −0.172036 + 1.75527i −0.00924873 + 0.0943639i
\(347\) 13.6546 11.8318i 0.733017 0.635163i −0.206191 0.978512i \(-0.566107\pi\)
0.939208 + 0.343349i \(0.111561\pi\)
\(348\) −5.96743 5.74716i −0.319888 0.308080i
\(349\) 33.4436 + 4.80846i 1.79019 + 0.257391i 0.955850 0.293853i \(-0.0949378\pi\)
0.834344 + 0.551245i \(0.185847\pi\)
\(350\) 7.85382 13.5250i 0.419804 0.722943i
\(351\) 0.446815 + 3.10767i 0.0238492 + 0.165875i
\(352\) 6.54039 6.68994i 0.348604 0.356575i
\(353\) 5.58842 3.59146i 0.297442 0.191154i −0.383405 0.923581i \(-0.625248\pi\)
0.680846 + 0.732426i \(0.261612\pi\)
\(354\) 2.04263 + 5.94985i 0.108564 + 0.316231i
\(355\) 10.9886 + 37.4238i 0.583215 + 1.98625i
\(356\) 1.42830 1.11172i 0.0756999 0.0589210i
\(357\) −11.7654 10.1948i −0.622694 0.539567i
\(358\) −6.89511 36.2628i −0.364418 1.91655i
\(359\) −5.27450 11.5495i −0.278377 0.609561i 0.717864 0.696183i \(-0.245120\pi\)
−0.996241 + 0.0866221i \(0.972393\pi\)
\(360\) 2.25320 + 7.89213i 0.118754 + 0.415952i
\(361\) −18.0816 5.30923i −0.951662 0.279433i
\(362\) −2.80379 + 0.126538i −0.147364 + 0.00665069i
\(363\) −7.51777 3.43325i −0.394580 0.180199i
\(364\) 19.1529 + 6.73629i 1.00389 + 0.353078i
\(365\) −4.50620 + 7.01178i −0.235865 + 0.367014i
\(366\) 5.97808 + 8.43961i 0.312479 + 0.441145i
\(367\) −14.0461 −0.733199 −0.366599 0.930379i \(-0.619478\pi\)
−0.366599 + 0.930379i \(0.619478\pi\)
\(368\) 16.9711 + 8.94326i 0.884680 + 0.466200i
\(369\) −3.66223 −0.190648
\(370\) −8.84274 12.4838i −0.459712 0.649003i
\(371\) −23.2661 + 36.2027i −1.20791 + 1.87955i
\(372\) −10.3218 3.63030i −0.535162 0.188222i
\(373\) −25.5476 11.6672i −1.32281 0.604105i −0.376211 0.926534i \(-0.622773\pi\)
−0.946594 + 0.322429i \(0.895501\pi\)
\(374\) 11.2502 0.507732i 0.581733 0.0262542i
\(375\) 4.39817 + 1.29142i 0.227121 + 0.0666886i
\(376\) 23.7650 6.78489i 1.22559 0.349904i
\(377\) 5.40279 + 11.8305i 0.278258 + 0.609300i
\(378\) 0.854154 + 4.49216i 0.0439329 + 0.231052i
\(379\) 27.0336 + 23.4248i 1.38862 + 1.20325i 0.952943 + 0.303148i \(0.0980377\pi\)
0.435681 + 0.900101i \(0.356508\pi\)
\(380\) −1.80341 + 1.40369i −0.0925132 + 0.0720076i
\(381\) −0.985573 3.35655i −0.0504924 0.171961i
\(382\) 7.77040 + 22.6340i 0.397568 + 1.15806i
\(383\) −1.84011 + 1.18257i −0.0940253 + 0.0604264i −0.586809 0.809726i \(-0.699616\pi\)
0.492783 + 0.870152i \(0.335980\pi\)
\(384\) −9.32928 + 6.40035i −0.476083 + 0.326617i
\(385\) 2.20839 + 15.3597i 0.112550 + 0.782803i
\(386\) −18.5259 + 31.9034i −0.942945 + 1.62384i
\(387\) −10.6681 1.53384i −0.542290 0.0779696i
\(388\) −15.3656 14.7984i −0.780068 0.751274i
\(389\) 18.1632 15.7385i 0.920910 0.797973i −0.0588257 0.998268i \(-0.518736\pi\)
0.979736 + 0.200295i \(0.0641901\pi\)
\(390\) 1.25677 12.8228i 0.0636393 0.649305i
\(391\) 7.57427 + 21.8133i 0.383047 + 1.10315i
\(392\) 9.35427 + 2.82302i 0.472462 + 0.142584i
\(393\) 1.41467 + 1.63262i 0.0713607 + 0.0823547i
\(394\) −5.32236 + 6.73323i −0.268137 + 0.339215i
\(395\) 3.77357 + 0.542558i 0.189869 + 0.0272990i
\(396\) −2.68482 1.93215i −0.134917 0.0970944i
\(397\) −13.9869 + 2.01101i −0.701983 + 0.100930i −0.484058 0.875036i \(-0.660838\pi\)
−0.217924 + 0.975966i \(0.569929\pi\)
\(398\) −18.6907 7.53689i −0.936880 0.377790i
\(399\) −1.07110 + 0.688354i −0.0536221 + 0.0344608i
\(400\) −0.514323 13.6717i −0.0257161 0.683583i
\(401\) −7.55046 + 2.21702i −0.377052 + 0.110712i −0.464767 0.885433i \(-0.653862\pi\)
0.0877146 + 0.996146i \(0.472044\pi\)
\(402\) −1.80584 + 1.71327i −0.0900671 + 0.0854500i
\(403\) 12.9810 + 11.2481i 0.646628 + 0.560307i
\(404\) 3.50273 + 38.7272i 0.174267 + 1.92675i
\(405\) 2.63955 1.20544i 0.131160 0.0598990i
\(406\) 8.63763 + 16.8580i 0.428678 + 0.836648i
\(407\) 5.91583 + 1.73704i 0.293237 + 0.0861021i
\(408\) −13.4648 2.03911i −0.666605 0.100951i
\(409\) 6.63514 14.5289i 0.328087 0.718410i −0.671661 0.740858i \(-0.734419\pi\)
0.999748 + 0.0224487i \(0.00714625\pi\)
\(410\) 14.5963 + 3.57968i 0.720860 + 0.176788i
\(411\) 6.94572 10.8078i 0.342607 0.533107i
\(412\) 2.83023 + 4.95919i 0.139435 + 0.244322i
\(413\) 14.3826i 0.707722i
\(414\) 2.22785 6.40599i 0.109493 0.314837i
\(415\) −23.4494 −1.15109
\(416\) 17.3107 3.97115i 0.848729 0.194702i
\(417\) 5.41609 + 3.48071i 0.265227 + 0.170451i
\(418\) 0.219378 0.894522i 0.0107301 0.0437525i
\(419\) −10.0088 4.57088i −0.488963 0.223302i 0.155648 0.987813i \(-0.450253\pi\)
−0.644611 + 0.764511i \(0.722981\pi\)
\(420\) 0.986560 18.7390i 0.0481392 0.914370i
\(421\) 6.37343 21.7059i 0.310622 1.05788i −0.645219 0.763998i \(-0.723234\pi\)
0.955841 0.293884i \(-0.0949480\pi\)
\(422\) −4.26109 8.31633i −0.207426 0.404832i
\(423\) −3.62986 7.94829i −0.176490 0.386459i
\(424\) −0.282277 + 37.6438i −0.0137086 + 1.82815i
\(425\) 10.7844 12.4458i 0.523119 0.603712i
\(426\) 13.0832 + 13.7901i 0.633883 + 0.668133i
\(427\) −6.66185 22.6882i −0.322389 1.09796i
\(428\) 21.5080 5.10408i 1.03963 0.246715i
\(429\) 2.80734 + 4.36830i 0.135540 + 0.210904i
\(430\) 41.0198 + 16.5410i 1.97815 + 0.797675i
\(431\) −2.92978 20.3771i −0.141122 0.981528i −0.930152 0.367174i \(-0.880326\pi\)
0.789030 0.614355i \(-0.210584\pi\)
\(432\) 2.73124 + 2.92239i 0.131407 + 0.140603i
\(433\) −4.02574 + 27.9997i −0.193465 + 1.34558i 0.629285 + 0.777175i \(0.283348\pi\)
−0.822750 + 0.568404i \(0.807561\pi\)
\(434\) 19.6253 + 15.5130i 0.942043 + 0.744649i
\(435\) 9.08450 7.87176i 0.435568 0.377422i
\(436\) 1.16097 5.86575i 0.0556004 0.280918i
\(437\) 1.88626 0.0917568i 0.0902320 0.00438932i
\(438\) −0.396234 + 4.04274i −0.0189328 + 0.193170i
\(439\) −10.7596 12.4172i −0.513526 0.592641i 0.438472 0.898745i \(-0.355520\pi\)
−0.951998 + 0.306104i \(0.900974\pi\)
\(440\) 8.81211 + 10.3252i 0.420101 + 0.492232i
\(441\) 0.491635 3.41940i 0.0234112 0.162828i
\(442\) 18.4873 + 10.7353i 0.879349 + 0.510627i
\(443\) −1.93107 + 0.277645i −0.0917477 + 0.0131913i −0.188036 0.982162i \(-0.560212\pi\)
0.0962881 + 0.995354i \(0.469303\pi\)
\(444\) −6.60983 3.44954i −0.313689 0.163708i
\(445\) 1.41975 + 2.20918i 0.0673028 + 0.104725i
\(446\) −13.5101 39.3528i −0.639722 1.86341i
\(447\) 16.9071 4.96438i 0.799680 0.234807i
\(448\) 24.9255 6.91451i 1.17762 0.326680i
\(449\) −9.20577 + 10.6240i −0.434447 + 0.501379i −0.930184 0.367094i \(-0.880353\pi\)
0.495737 + 0.868473i \(0.334898\pi\)
\(450\) −4.75194 + 0.903549i −0.224009 + 0.0425937i
\(451\) −5.50960 + 2.51615i −0.259437 + 0.118481i
\(452\) −29.9610 + 11.8212i −1.40925 + 0.556021i
\(453\) 4.46750 15.2149i 0.209902 0.714859i
\(454\) 40.9699 1.84901i 1.92281 0.0867785i
\(455\) −12.2371 + 26.7954i −0.573682 + 1.25619i
\(456\) −0.470260 + 1.00962i −0.0220220 + 0.0472799i
\(457\) −11.1846 7.18789i −0.523192 0.336235i 0.252241 0.967664i \(-0.418832\pi\)
−0.775434 + 0.631429i \(0.782469\pi\)
\(458\) 25.5350 18.0874i 1.19317 0.845167i
\(459\) 4.81479i 0.224735i
\(460\) −15.1410 + 23.3543i −0.705951 + 1.08890i
\(461\) 33.7864i 1.57359i −0.617214 0.786796i \(-0.711739\pi\)
0.617214 0.786796i \(-0.288261\pi\)
\(462\) 4.37138 + 6.17133i 0.203375 + 0.287116i
\(463\) −12.5349 8.05572i −0.582548 0.374381i 0.215926 0.976410i \(-0.430723\pi\)
−0.798475 + 0.602029i \(0.794359\pi\)
\(464\) 14.2664 + 8.42798i 0.662299 + 0.391259i
\(465\) 6.59475 14.4405i 0.305824 0.669662i
\(466\) 0.467962 + 10.3690i 0.0216779 + 0.480334i
\(467\) −5.06583 + 17.2526i −0.234419 + 0.798357i 0.755306 + 0.655372i \(0.227488\pi\)
−0.989725 + 0.142985i \(0.954330\pi\)
\(468\) −2.30459 5.84105i −0.106530 0.270002i
\(469\) 5.17692 2.36422i 0.239048 0.109169i
\(470\) 6.69816 + 35.2270i 0.308963 + 1.62490i
\(471\) 5.29300 6.10844i 0.243888 0.281462i
\(472\) −6.72248 10.6349i −0.309427 0.489510i
\(473\) −17.1033 + 5.02199i −0.786412 + 0.230911i
\(474\) 1.75733 0.603302i 0.0807167 0.0277106i
\(475\) −0.728161 1.13304i −0.0334103 0.0519875i
\(476\) 27.6030 + 14.4054i 1.26518 + 0.660272i
\(477\) 13.1740 1.89414i 0.603196 0.0867266i
\(478\) 0.759478 1.30789i 0.0347377 0.0598217i
\(479\) 3.18514 22.1531i 0.145533 1.01220i −0.777885 0.628407i \(-0.783707\pi\)
0.923418 0.383796i \(-0.125383\pi\)
\(480\) −8.02918 14.3172i −0.366480 0.653489i
\(481\) 7.66464 + 8.84547i 0.349478 + 0.403319i
\(482\) −24.2691 2.37865i −1.10543 0.108344i
\(483\) −9.57327 + 12.1987i −0.435599 + 0.555058i
\(484\) 16.2147 + 3.20928i 0.737032 + 0.145876i
\(485\) 23.3917 20.2691i 1.06216 0.920370i
\(486\) 0.876985 1.10946i 0.0397808 0.0503261i
\(487\) 3.51064 24.4170i 0.159082 1.10644i −0.741247 0.671232i \(-0.765765\pi\)
0.900329 0.435209i \(-0.143326\pi\)
\(488\) −15.5305 13.6625i −0.703031 0.618470i
\(489\) 0.190411 + 1.32434i 0.00861069 + 0.0598887i
\(490\) −5.30179 + 13.1479i −0.239510 + 0.593961i
\(491\) −10.9491 17.0372i −0.494127 0.768877i 0.501211 0.865325i \(-0.332888\pi\)
−0.995338 + 0.0964485i \(0.969252\pi\)
\(492\) 7.12655 1.69120i 0.321290 0.0762454i
\(493\) 5.61919 + 19.1372i 0.253075 + 0.861896i
\(494\) 1.26839 1.20337i 0.0570678 0.0541423i
\(495\) 3.14284 3.62703i 0.141260 0.163023i
\(496\) 21.7623 + 2.29782i 0.977155 + 0.103175i
\(497\) −18.0541 39.5330i −0.809838 1.77330i
\(498\) −10.1710 + 5.21135i −0.455771 + 0.233526i
\(499\) −2.66438 + 9.07406i −0.119274 + 0.406211i −0.997387 0.0722429i \(-0.976984\pi\)
0.878113 + 0.478454i \(0.158802\pi\)
\(500\) −9.15502 0.481988i −0.409425 0.0215552i
\(501\) −19.4109 8.86465i −0.867214 0.396044i
\(502\) −5.17091 1.26814i −0.230789 0.0566000i
\(503\) 11.6036 + 7.45715i 0.517377 + 0.332498i 0.773134 0.634243i \(-0.218688\pi\)
−0.255757 + 0.966741i \(0.582325\pi\)
\(504\) −3.73661 8.34711i −0.166442 0.371810i
\(505\) −56.4183 −2.51058
\(506\) −1.04960 11.1681i −0.0466604 0.496481i
\(507\) 3.14276i 0.139575i
\(508\) 3.46793 + 6.07657i 0.153864 + 0.269604i
\(509\) 12.1672 18.9325i 0.539302 0.839170i −0.459497 0.888180i \(-0.651970\pi\)
0.998798 + 0.0490096i \(0.0156065\pi\)
\(510\) 4.70626 19.1900i 0.208397 0.849747i
\(511\) 3.85809 8.44803i 0.170672 0.373719i
\(512\) 15.1987 16.7630i 0.671695 0.740828i
\(513\) 0.377826 + 0.110940i 0.0166814 + 0.00489811i
\(514\) 24.3065 12.4541i 1.07211 0.549326i
\(515\) −7.53588 + 3.44152i −0.332071 + 0.151652i
\(516\) 21.4680 1.94170i 0.945075 0.0854785i
\(517\) −10.9218 9.46379i −0.480340 0.416217i
\(518\) 11.7325 + 12.3664i 0.515497 + 0.543350i
\(519\) −1.19659 + 0.351352i −0.0525246 + 0.0154226i
\(520\) 3.47587 + 25.5329i 0.152427 + 1.11969i
\(521\) 4.51338 2.90058i 0.197735 0.127077i −0.438027 0.898962i \(-0.644322\pi\)
0.635762 + 0.771885i \(0.280686\pi\)
\(522\) 2.19091 5.43322i 0.0958934 0.237806i
\(523\) −2.57719 + 0.370544i −0.112693 + 0.0162027i −0.198430 0.980115i \(-0.563584\pi\)
0.0857378 + 0.996318i \(0.472675\pi\)
\(524\) −3.50682 2.52371i −0.153196 0.110249i
\(525\) 10.9466 + 1.57388i 0.477747 + 0.0686897i
\(526\) 16.5046 + 13.0462i 0.719634 + 0.568843i
\(527\) 17.2496 + 19.9071i 0.751403 + 0.867166i
\(528\) 6.11681 + 2.52005i 0.266200 + 0.109671i
\(529\) 21.3352 8.59121i 0.927618 0.373531i
\(530\) −54.3582 5.32771i −2.36117 0.231421i
\(531\) −3.36173 + 2.91296i −0.145887 + 0.126411i
\(532\) 1.76643 1.83414i 0.0765847 0.0795199i
\(533\) −11.3810 1.63634i −0.492966 0.0708778i
\(534\) 1.10677 + 0.642687i 0.0478945 + 0.0278118i
\(535\) 4.56439 + 31.7460i 0.197336 + 1.37250i
\(536\) 2.72290 4.16787i 0.117612 0.180025i
\(537\) 21.9576 14.1113i 0.947541 0.608947i
\(538\) 35.6086 12.2247i 1.53520 0.527044i
\(539\) −1.60967 5.48205i −0.0693336 0.236128i
\(540\) −4.57978 + 3.56467i −0.197083 + 0.153399i
\(541\) −3.29608 2.85607i −0.141709 0.122792i 0.581122 0.813817i \(-0.302614\pi\)
−0.722831 + 0.691025i \(0.757160\pi\)
\(542\) 9.60350 1.82604i 0.412505 0.0784351i
\(543\) −0.824432 1.80525i −0.0353798 0.0774709i
\(544\) 27.1435 2.24996i 1.16377 0.0964663i
\(545\) 8.32422 + 2.44421i 0.356571 + 0.104699i
\(546\) 0.647260 + 14.3418i 0.0277002 + 0.613772i
\(547\) 12.5744 + 5.74253i 0.537642 + 0.245533i 0.665681 0.746236i \(-0.268141\pi\)
−0.128039 + 0.991769i \(0.540868\pi\)
\(548\) −8.52510 + 24.2389i −0.364174 + 1.03544i
\(549\) −3.95379 + 6.15222i −0.168744 + 0.262570i
\(550\) −6.52821 + 4.62417i −0.278364 + 0.197175i
\(551\) 1.63121 0.0694917
\(552\) −1.37704 + 13.4946i −0.0586105 + 0.574368i
\(553\) −4.24800 −0.180643
\(554\) 3.36812 2.38576i 0.143098 0.101361i
\(555\) 5.84842 9.10032i 0.248252 0.386287i
\(556\) −12.1469 4.27218i −0.515141 0.181181i
\(557\) −4.11170 1.87775i −0.174218 0.0795628i 0.326397 0.945233i \(-0.394165\pi\)
−0.500615 + 0.865670i \(0.666893\pi\)
\(558\) −0.348819 7.72903i −0.0147667 0.327196i
\(559\) −32.4676 9.53334i −1.37323 0.403217i
\(560\) 6.73379 + 36.9209i 0.284555 + 1.56019i
\(561\) 3.30802 + 7.24356i 0.139665 + 0.305823i
\(562\) 26.8851 5.11202i 1.13408 0.215637i
\(563\) 20.3995 + 17.6763i 0.859737 + 0.744967i 0.968477 0.249104i \(-0.0801360\pi\)
−0.108740 + 0.994070i \(0.534681\pi\)
\(564\) 10.7340 + 13.7908i 0.451984 + 0.580696i
\(565\) −13.1658 44.8384i −0.553887 1.88637i
\(566\) −24.9891 + 8.57894i −1.05037 + 0.360600i
\(567\) −2.72007 + 1.74808i −0.114232 + 0.0734125i
\(568\) −31.8275 20.7932i −1.33545 0.872462i
\(569\) 2.14594 + 14.9253i 0.0899625 + 0.625703i 0.984061 + 0.177832i \(0.0569084\pi\)
−0.894098 + 0.447871i \(0.852182\pi\)
\(570\) −1.39744 0.811474i −0.0585322 0.0339889i
\(571\) −19.6583 2.82643i −0.822674 0.118283i −0.281892 0.959446i \(-0.590962\pi\)
−0.540781 + 0.841163i \(0.681871\pi\)
\(572\) −7.48022 7.20411i −0.312764 0.301219i
\(573\) −12.7884 + 11.0812i −0.534245 + 0.462926i
\(574\) −16.6663 1.63348i −0.695636 0.0681802i
\(575\) −12.9041 10.1269i −0.538138 0.422320i
\(576\) −6.66441 4.42557i −0.277684 0.184399i
\(577\) −16.1296 18.6145i −0.671484 0.774934i 0.313124 0.949712i \(-0.398624\pi\)
−0.984608 + 0.174779i \(0.944079\pi\)
\(578\) 6.85895 + 5.42174i 0.285295 + 0.225515i
\(579\) −25.8212 3.71253i −1.07309 0.154288i
\(580\) −14.0429 + 19.5133i −0.583099 + 0.810245i
\(581\) 25.8629 3.71852i 1.07297 0.154270i
\(582\) 5.64138 13.9900i 0.233843 0.579906i
\(583\) 18.5181 11.9009i 0.766941 0.492883i
\(584\) −1.09587 8.04998i −0.0453473 0.333110i
\(585\) 8.74146 2.56672i 0.361415 0.106121i
\(586\) −0.762980 0.804206i −0.0315184 0.0332214i
\(587\) −6.58689 5.70757i −0.271870 0.235577i 0.508245 0.861212i \(-0.330294\pi\)
−0.780115 + 0.625636i \(0.784840\pi\)
\(588\) 0.622363 + 6.88103i 0.0256658 + 0.283769i
\(589\) 1.95960 0.894920i 0.0807440 0.0368745i
\(590\) 16.2459 8.32401i 0.668833 0.342694i
\(591\) −5.82310 1.70982i −0.239530 0.0703324i
\(592\) 14.4554 + 3.66026i 0.594114 + 0.150436i
\(593\) 6.89417 15.0961i 0.283109 0.619923i −0.713638 0.700515i \(-0.752954\pi\)
0.996747 + 0.0805917i \(0.0256810\pi\)
\(594\) 0.557111 2.27165i 0.0228585 0.0932068i
\(595\) −24.4233 + 38.0034i −1.00126 + 1.55799i
\(596\) −30.6080 + 17.4681i −1.25375 + 0.715522i
\(597\) 14.2504i 0.583230i
\(598\) 9.78570 18.9122i 0.400167 0.773379i
\(599\) 29.8588 1.22000 0.609998 0.792403i \(-0.291170\pi\)
0.609998 + 0.792403i \(0.291170\pi\)
\(600\) 8.82981 3.95269i 0.360476 0.161368i
\(601\) 5.07392 + 3.26081i 0.206970 + 0.133011i 0.640019 0.768359i \(-0.278926\pi\)
−0.433050 + 0.901370i \(0.642563\pi\)
\(602\) −47.8647 11.7386i −1.95082 0.478430i
\(603\) −1.60110 0.731198i −0.0652018 0.0297767i
\(604\) −1.66738 + 31.6706i −0.0678447 + 1.28866i
\(605\) −6.75655 + 23.0107i −0.274693 + 0.935517i
\(606\) −24.4709 + 12.5383i −0.994062 + 0.509334i
\(607\) 11.0994 + 24.3043i 0.450511 + 0.986481i 0.989549 + 0.144199i \(0.0460606\pi\)
−0.539038 + 0.842281i \(0.681212\pi\)
\(608\) 0.448866 2.18185i 0.0182039 0.0884855i
\(609\) −8.77123 + 10.1225i −0.355428 + 0.410186i
\(610\) 21.7719 20.6558i 0.881517 0.836329i
\(611\) −7.72898 26.3225i −0.312681 1.06489i
\(612\) −2.22345 9.36938i −0.0898777 0.378735i
\(613\) −0.295137 0.459243i −0.0119205 0.0185486i 0.835242 0.549882i \(-0.185327\pi\)
−0.847163 + 0.531334i \(0.821691\pi\)
\(614\) −16.0663 + 39.8428i −0.648383 + 1.60792i
\(615\) 1.51238 + 10.5188i 0.0609850 + 0.424160i
\(616\) −11.3564 9.99045i −0.457563 0.402527i
\(617\) −2.21444 + 15.4017i −0.0891498 + 0.620051i 0.895441 + 0.445179i \(0.146860\pi\)
−0.984591 + 0.174871i \(0.944049\pi\)
\(618\) −2.50378 + 3.16749i −0.100717 + 0.127415i
\(619\) 28.2193 24.4521i 1.13423 0.982814i 0.134261 0.990946i \(-0.457134\pi\)
0.999967 + 0.00813192i \(0.00258850\pi\)
\(620\) −6.16454 + 31.1460i −0.247574 + 1.25085i
\(621\) 4.79017 0.233017i 0.192223 0.00935065i
\(622\) −7.79529 0.764027i −0.312563 0.0306347i
\(623\) −1.91620 2.21142i −0.0767710 0.0885985i
\(624\) 7.18200 + 10.3022i 0.287510 + 0.412417i
\(625\) 4.32680 30.0935i 0.173072 1.20374i
\(626\) 19.4223 33.4471i 0.776271 1.33681i
\(627\) 0.644638 0.0926849i 0.0257443 0.00370148i
\(628\) −7.47908 + 14.3310i −0.298448 + 0.571871i
\(629\) 9.70403 + 15.0998i 0.386925 + 0.602067i
\(630\) 12.5499 4.30845i 0.499998 0.171653i
\(631\) 32.5288 9.55133i 1.29495 0.380232i 0.439560 0.898213i \(-0.355134\pi\)
0.855392 + 0.517981i \(0.173316\pi\)
\(632\) −3.14108 + 1.98553i −0.124945 + 0.0789800i
\(633\) 4.32699 4.99362i 0.171983 0.198478i
\(634\) 5.46504 + 28.7417i 0.217044 + 1.14148i
\(635\) −9.23384 + 4.21695i −0.366434 + 0.167345i
\(636\) −24.7613 + 9.76961i −0.981851 + 0.387390i
\(637\) 3.05568 10.4067i 0.121070 0.412327i
\(638\) −0.436833 9.67921i −0.0172944 0.383204i
\(639\) −5.58372 + 12.2266i −0.220888 + 0.483678i
\(640\) 22.2361 + 24.1528i 0.878958 + 0.954725i
\(641\) −15.7811 10.1419i −0.623316 0.400581i 0.190513 0.981685i \(-0.438985\pi\)
−0.813830 + 0.581104i \(0.802621\pi\)
\(642\) 9.03493 + 12.7551i 0.356580 + 0.503405i
\(643\) 40.0856i 1.58082i 0.612577 + 0.790411i \(0.290133\pi\)
−0.612577 + 0.790411i \(0.709867\pi\)
\(644\) 12.9959 28.1590i 0.512109 1.10962i
\(645\) 31.2748i 1.23145i
\(646\) 2.18799 1.54983i 0.0860854 0.0609774i
\(647\) −13.8950 8.92974i −0.546267 0.351064i 0.238219 0.971212i \(-0.423437\pi\)
−0.784486 + 0.620147i \(0.787073\pi\)
\(648\) −1.19423 + 2.56395i −0.0469138 + 0.100721i
\(649\) −3.05616 + 6.69205i −0.119965 + 0.262686i
\(650\) −15.1712 + 0.684690i −0.595062 + 0.0268558i
\(651\) −4.98358 + 16.9725i −0.195322 + 0.665206i
\(652\) −0.982106 2.48917i −0.0384622 0.0974835i
\(653\) −3.65881 + 1.67092i −0.143180 + 0.0653883i −0.485717 0.874116i \(-0.661441\pi\)
0.342536 + 0.939505i \(0.388714\pi\)
\(654\) 4.15375 0.789806i 0.162424 0.0308839i
\(655\) 4.10507 4.73750i 0.160398 0.185109i
\(656\) −13.0870 + 6.58202i −0.510960 + 0.256985i
\(657\) −2.75600 + 0.809234i −0.107522 + 0.0315712i
\(658\) −12.9737 37.7904i −0.505768 1.47322i
\(659\) 11.2693 + 17.5353i 0.438989 + 0.683080i 0.988297 0.152540i \(-0.0487452\pi\)
−0.549308 + 0.835620i \(0.685109\pi\)
\(660\) −4.44088 + 8.50939i −0.172861 + 0.331227i
\(661\) −3.37009 + 0.484546i −0.131081 + 0.0188466i −0.207543 0.978226i \(-0.566547\pi\)
0.0764619 + 0.997073i \(0.475638\pi\)
\(662\) 25.4598 + 14.7842i 0.989523 + 0.574604i
\(663\) −2.15132 + 14.9628i −0.0835505 + 0.581106i
\(664\) 17.3856 14.8380i 0.674694 0.575825i
\(665\) 2.41945 + 2.79220i 0.0938223 + 0.108277i
\(666\) 0.514257 5.24692i 0.0199271 0.203314i
\(667\) 18.7674 6.51661i 0.726675 0.252324i
\(668\) 41.8664 + 8.28636i 1.61986 + 0.320609i
\(669\) 22.2348 19.2665i 0.859646 0.744887i
\(670\) 5.66667 + 4.47929i 0.218923 + 0.173050i
\(671\) −1.72133 + 11.9721i −0.0664511 + 0.462178i
\(672\) 11.1259 + 14.5176i 0.429192 + 0.560027i
\(673\) 6.50622 + 45.2517i 0.250796 + 1.74433i 0.593456 + 0.804867i \(0.297763\pi\)
−0.342659 + 0.939460i \(0.611328\pi\)
\(674\) −4.26360 1.71926i −0.164228 0.0662235i
\(675\) −1.84917 2.87737i −0.0711746 0.110750i
\(676\) 1.45131 + 6.11568i 0.0558198 + 0.235218i
\(677\) −0.936652 3.18994i −0.0359984 0.122599i 0.939534 0.342457i \(-0.111259\pi\)
−0.975532 + 0.219857i \(0.929441\pi\)
\(678\) −15.6753 16.5223i −0.602007 0.634535i
\(679\) −22.5851 + 26.0646i −0.866736 + 1.00027i
\(680\) −0.296317 + 39.5162i −0.0113632 + 1.51538i
\(681\) 12.0469 + 26.3790i 0.461637 + 1.01084i
\(682\) −5.83503 11.3882i −0.223435 0.436076i
\(683\) 6.08118 20.7106i 0.232690 0.792470i −0.757511 0.652822i \(-0.773585\pi\)
0.990201 0.139647i \(-0.0445969\pi\)
\(684\) −0.786465 0.0414054i −0.0300712 0.00158317i
\(685\) −33.9109 15.4866i −1.29567 0.591712i
\(686\) −3.86151 + 15.7455i −0.147433 + 0.601165i
\(687\) 18.6142 + 11.9626i 0.710177 + 0.456403i
\(688\) −40.8791 + 13.6923i −1.55850 + 0.522014i
\(689\) 41.7868 1.59195
\(690\) −19.3196 3.75347i −0.735484 0.142892i
\(691\) 50.1334i 1.90716i −0.301134 0.953582i \(-0.597365\pi\)
0.301134 0.953582i \(-0.402635\pi\)
\(692\) 2.16627 1.23630i 0.0823491 0.0469970i
\(693\) −2.89115 + 4.49871i −0.109826 + 0.170892i
\(694\) −24.8161 6.08603i −0.942005 0.231023i
\(695\) 7.76079 16.9938i 0.294384 0.644610i
\(696\) −1.75437 + 11.5846i −0.0664992 + 0.439112i
\(697\) −16.9187 4.96776i −0.640840 0.188167i
\(698\) −21.7891 42.5256i −0.824729 1.60962i
\(699\) −6.67619 + 3.04891i −0.252517 + 0.115320i
\(700\) −22.0283 + 1.99238i −0.832593 + 0.0753049i
\(701\) 33.8457 + 29.3275i 1.27833 + 1.10768i 0.988598 + 0.150576i \(0.0481129\pi\)
0.289736 + 0.957107i \(0.406433\pi\)
\(702\) 3.22110 3.05598i 0.121573 0.115340i
\(703\) 1.40850 0.413574i 0.0531227 0.0155982i
\(704\) −13.0668 2.07918i −0.492473 0.0783621i
\(705\) −21.3304 + 13.7082i −0.803350 + 0.516282i
\(706\) −8.71287 3.51340i −0.327913 0.132229i
\(707\) 62.2251 8.94661i 2.34021 0.336472i
\(708\) 5.19659 7.22091i 0.195300 0.271379i
\(709\) −42.0839 6.05075i −1.58049 0.227241i −0.704550 0.709655i \(-0.748851\pi\)
−0.875943 + 0.482414i \(0.839760\pi\)
\(710\) 34.2056 43.2730i 1.28372 1.62401i
\(711\) 0.860360 + 0.992908i 0.0322660 + 0.0372370i
\(712\) −2.45051 0.739539i −0.0918368 0.0277154i
\(713\) 18.9704 18.1248i 0.710449 0.678778i
\(714\) −2.14756 + 21.9114i −0.0803705 + 0.820013i
\(715\) 11.3875 9.86733i 0.425869 0.369017i
\(716\) −36.2120 + 37.5999i −1.35331 + 1.40517i
\(717\) 1.05855 + 0.152197i 0.0395324 + 0.00568389i
\(718\) −9.01693 + 15.5280i −0.336509 + 0.579500i
\(719\) −1.55787 10.8352i −0.0580987 0.404085i −0.998031 0.0627241i \(-0.980021\pi\)
0.939932 0.341361i \(-0.110888\pi\)
\(720\) 7.26591 9.05162i 0.270784 0.337334i
\(721\) 7.76575 4.99075i 0.289212 0.185865i
\(722\) 8.65364 + 25.2067i 0.322055 + 0.938097i
\(723\) −4.85793 16.5446i −0.180669 0.615301i
\(724\) 2.43797 + 3.13223i 0.0906064 + 0.116408i
\(725\) −10.7079 9.27846i −0.397682 0.344593i
\(726\) 2.18327 + 11.4822i 0.0810286 + 0.426145i
\(727\) 9.36134 + 20.4985i 0.347193 + 0.760246i 0.999996 + 0.00271897i \(0.000865476\pi\)
−0.652803 + 0.757527i \(0.726407\pi\)
\(728\) −7.88252 27.6096i −0.292146 1.02328i
\(729\) 0.959493 + 0.281733i 0.0355368 + 0.0104345i
\(730\) 11.7754 0.531434i 0.435826 0.0196693i
\(731\) −47.2035 21.5571i −1.74588 0.797318i
\(732\) 4.85283 13.7978i 0.179366 0.509981i
\(733\) −4.30394 + 6.69705i −0.158969 + 0.247361i −0.911597 0.411085i \(-0.865150\pi\)
0.752627 + 0.658447i \(0.228786\pi\)
\(734\) 11.4818 + 16.2096i 0.423803 + 0.598307i
\(735\) −10.0244 −0.369754
\(736\) −3.55209 26.8958i −0.130932 0.991391i
\(737\) −2.91113 −0.107233
\(738\) 2.99367 + 4.22633i 0.110198 + 0.155573i
\(739\) 0.368407 0.573252i 0.0135521 0.0210874i −0.834411 0.551142i \(-0.814192\pi\)
0.847963 + 0.530055i \(0.177829\pi\)
\(740\) −7.17828 + 20.4096i −0.263879 + 0.750272i
\(741\) 1.12459 + 0.513582i 0.0413128 + 0.0188669i
\(742\) 60.7977 2.74386i 2.23195 0.100730i
\(743\) 21.0402 + 6.17797i 0.771892 + 0.226648i 0.643882 0.765125i \(-0.277323\pi\)
0.128010 + 0.991773i \(0.459141\pi\)
\(744\) 4.24802 + 14.8793i 0.155740 + 0.545500i
\(745\) −21.2410 46.5113i −0.778210 1.70404i
\(746\) 7.41938 + 39.0200i 0.271643 + 1.42862i
\(747\) −6.10724 5.29196i −0.223452 0.193623i
\(748\) −9.78231 12.5680i −0.357677 0.459532i
\(749\) −10.0683 34.2896i −0.367889 1.25291i
\(750\) −2.10491 6.13129i −0.0768606 0.223883i
\(751\) −31.1257 + 20.0033i −1.13579 + 0.729930i −0.966761 0.255681i \(-0.917700\pi\)
−0.169031 + 0.985611i \(0.554064\pi\)
\(752\) −27.2565 21.8793i −0.993941 0.797855i
\(753\) −0.535778 3.72642i −0.0195248 0.135798i
\(754\) 9.23625 15.9057i 0.336365 0.579252i
\(755\) −45.5459 6.54851i −1.65759 0.238325i
\(756\) 4.48588 4.65781i 0.163150 0.169403i
\(757\) −26.7864 + 23.2105i −0.973567 + 0.843601i −0.987710 0.156299i \(-0.950044\pi\)
0.0141427 + 0.999900i \(0.495498\pi\)
\(758\) 4.93448 50.3460i 0.179228 1.82865i
\(759\) 7.04641 3.64166i 0.255769 0.132184i
\(760\) 3.09409 + 0.933763i 0.112234 + 0.0338711i
\(761\) −5.57445 6.43326i −0.202074 0.233205i 0.645663 0.763622i \(-0.276581\pi\)
−0.847737 + 0.530417i \(0.822035\pi\)
\(762\) −3.06792 + 3.88117i −0.111139 + 0.140600i
\(763\) −9.56857 1.37575i −0.346405 0.0498056i
\(764\) 19.7685 27.4693i 0.715198 0.993803i
\(765\) 13.8293 1.98835i 0.499998 0.0718889i
\(766\) 2.86891 + 1.15687i 0.103658 + 0.0417992i
\(767\) −11.7487 + 7.55042i −0.424220 + 0.272630i
\(768\) 15.0124 + 5.53436i 0.541712 + 0.199704i
\(769\) −33.3018 + 9.77828i −1.20089 + 0.352614i −0.820194 0.572086i \(-0.806135\pi\)
−0.380698 + 0.924699i \(0.624316\pi\)
\(770\) 15.9203 15.1042i 0.573729 0.544318i
\(771\) 14.5951 + 12.6467i 0.525629 + 0.455460i
\(772\) 51.9614 4.69971i 1.87013 0.169146i
\(773\) −50.4990 + 23.0621i −1.81632 + 0.829487i −0.884548 + 0.466450i \(0