Properties

Label 552.2.bb.a.13.13
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 13.13
Character \(\chi\) \(=\) 552.13
Dual form 552.2.bb.a.85.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.02595 - 0.973358i) q^{2} +(-0.540641 + 0.841254i) q^{3} +(0.105149 + 1.99723i) q^{4} +(2.63955 + 1.20544i) q^{5} +(1.37351 - 0.336848i) q^{6} +(3.10238 + 0.910940i) q^{7} +(1.83615 - 2.15141i) q^{8} +(-0.415415 - 0.909632i) q^{9} +O(q^{10})\) \(q+(-1.02595 - 0.973358i) q^{2} +(-0.540641 + 0.841254i) q^{3} +(0.105149 + 1.99723i) q^{4} +(2.63955 + 1.20544i) q^{5} +(1.37351 - 0.336848i) q^{6} +(3.10238 + 0.910940i) q^{7} +(1.83615 - 2.15141i) q^{8} +(-0.415415 - 0.909632i) q^{9} +(-1.53472 - 3.80595i) q^{10} +(1.24993 + 1.08307i) q^{11} +(-1.73703 - 0.991329i) q^{12} +(0.884534 + 3.01245i) q^{13} +(-2.29622 - 3.95430i) q^{14} +(-2.44113 + 1.56882i) q^{15} +(-3.97789 + 0.420015i) q^{16} +(-0.685217 - 4.76579i) q^{17} +(-0.459202 + 1.33758i) q^{18} +(0.389769 + 0.0560403i) q^{19} +(-2.13001 + 5.39856i) 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} +(2.02470 - 3.95159i) q^{26} +(0.989821 + 0.142315i) q^{27} +(-1.49315 + 6.29196i) q^{28} +(4.10030 - 0.589534i) q^{29} +(4.03151 + 0.766563i) q^{30} +(-4.60234 + 2.95774i) q^{31} +(4.48994 + 3.44099i) q^{32} +(-1.58690 + 0.465957i) q^{33} +(-3.93582 + 5.55642i) q^{34} +(7.09080 + 6.14421i) q^{35} +(1.77307 - 0.925328i) q^{36} +(3.39103 - 1.54863i) q^{37} +(-0.345336 - 0.436879i) q^{38} +(-3.01245 - 0.884534i) q^{39} +(7.44001 - 3.46539i) q^{40} +(1.52135 - 3.33129i) q^{41} +(4.56800 + 0.206158i) q^{42} +(-5.82692 + 9.06687i) q^{43} +(-2.03172 + 2.61029i) q^{44} -2.90178i q^{45} +(5.71848 + 3.64678i) q^{46} +8.73791 q^{47} +(1.79727 - 3.57349i) q^{48} +(2.90616 + 1.86768i) q^{49} +(0.218080 - 4.83216i) q^{50} +(4.37969 + 2.00014i) q^{51} +(-5.92355 + 2.08338i) q^{52} +(3.74971 - 12.7704i) q^{53} +(-0.876985 - 1.10946i) q^{54} +(1.99368 + 4.36555i) q^{55} +(7.65622 - 5.00187i) q^{56} +(-0.257869 + 0.297597i) q^{57} +(-4.78053 - 3.38622i) q^{58} +(1.25320 + 4.26802i) q^{59} +(-3.38999 - 4.71055i) q^{60} +(3.95379 + 6.15222i) q^{61} +(7.60072 + 1.44522i) q^{62} +(-0.460154 - 3.20044i) q^{63} +(-1.25714 - 7.90061i) q^{64} +(-1.29656 + 9.01777i) q^{65} +(2.08163 + 1.06658i) 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} +(-2.71975 - 0.776488i) q^{72} +(0.408778 - 2.84311i) q^{73} +(-4.98640 - 1.71186i) q^{74} +(-3.38552 + 0.486764i) q^{75} +(-0.0709417 + 0.784352i) q^{76} +(2.89115 + 4.49871i) q^{77} +(2.22965 + 3.83968i) q^{78} +(-1.26059 + 0.370142i) q^{79} +(-11.0061 - 3.68647i) q^{80} +(-0.654861 + 0.755750i) q^{81} +(-4.80336 + 1.93692i) q^{82} +(-7.35078 + 3.35699i) q^{83} +(-4.48588 - 4.65781i) q^{84} +(3.93622 - 13.4055i) q^{85} +(14.8034 - 3.63048i) q^{86} +(-1.72084 + 3.76812i) q^{87} +(4.62519 - 0.700440i) q^{88} +(-0.761319 - 0.489270i) q^{89} +(-2.82447 + 2.97708i) q^{90} +10.1515i q^{91} +(-2.31726 - 9.30754i) q^{92} -5.47081i q^{93} +(-8.96467 - 8.50512i) q^{94} +(0.961262 + 0.617766i) q^{95} +(-5.32219 + 1.91684i) q^{96} +(-4.43100 + 9.70254i) q^{97} +(-1.16366 - 4.74488i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.02595 0.973358i −0.725457 0.688268i
\(3\) −0.540641 + 0.841254i −0.312139 + 0.485698i
\(4\) 0.105149 + 1.99723i 0.0525746 + 0.998617i
\(5\) 2.63955 + 1.20544i 1.18044 + 0.539091i 0.906315 0.422602i \(-0.138883\pi\)
0.274129 + 0.961693i \(0.411611\pi\)
\(6\) 1.37351 0.336848i 0.560734 0.137517i
\(7\) 3.10238 + 0.910940i 1.17259 + 0.344303i 0.809312 0.587378i \(-0.199840\pi\)
0.363276 + 0.931682i \(0.381658\pi\)
\(8\) 1.83615 2.15141i 0.649175 0.760639i
\(9\) −0.415415 0.909632i −0.138472 0.303211i
\(10\) −1.53472 3.80595i −0.485322 1.20355i
\(11\) 1.24993 + 1.08307i 0.376869 + 0.326559i 0.822613 0.568602i \(-0.192515\pi\)
−0.445744 + 0.895160i \(0.647061\pi\)
\(12\) −1.73703 0.991329i −0.501437 0.286172i
\(13\) 0.884534 + 3.01245i 0.245326 + 0.835502i 0.986440 + 0.164123i \(0.0524795\pi\)
−0.741114 + 0.671379i \(0.765702\pi\)
\(14\) −2.29622 3.95430i −0.613689 1.05683i
\(15\) −2.44113 + 1.56882i −0.630298 + 0.405068i
\(16\) −3.97789 + 0.420015i −0.994472 + 0.105004i
\(17\) −0.685217 4.76579i −0.166189 1.15587i −0.886672 0.462400i \(-0.846989\pi\)
0.720482 0.693473i \(-0.243921\pi\)
\(18\) −0.459202 + 1.33758i −0.108235 + 0.315272i
\(19\) 0.389769 + 0.0560403i 0.0894191 + 0.0128565i 0.186879 0.982383i \(-0.440163\pi\)
−0.0974600 + 0.995239i \(0.531072\pi\)
\(20\) −2.13001 + 5.39856i −0.476284 + 1.20715i
\(21\) −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
\(26\) 2.02470 3.95159i 0.397076 0.774971i
\(27\) 0.989821 + 0.142315i 0.190491 + 0.0273885i
\(28\) −1.49315 + 6.29196i −0.282178 + 1.18907i
\(29\) 4.10030 0.589534i 0.761406 0.109474i 0.249336 0.968417i \(-0.419788\pi\)
0.512070 + 0.858943i \(0.328879\pi\)
\(30\) 4.03151 + 0.766563i 0.736049 + 0.139955i
\(31\) −4.60234 + 2.95774i −0.826605 + 0.531227i −0.884197 0.467114i \(-0.845294\pi\)
0.0575927 + 0.998340i \(0.481658\pi\)
\(32\) 4.48994 + 3.44099i 0.793717 + 0.608287i
\(33\) −1.58690 + 0.465957i −0.276244 + 0.0811126i
\(34\) −3.93582 + 5.55642i −0.674987 + 0.952919i
\(35\) 7.09080 + 6.14421i 1.19856 + 1.03856i
\(36\) 1.77307 0.925328i 0.295511 0.154221i
\(37\) 3.39103 1.54863i 0.557481 0.254593i −0.116690 0.993168i \(-0.537228\pi\)
0.674171 + 0.738575i \(0.264501\pi\)
\(38\) −0.345336 0.436879i −0.0560210 0.0708712i
\(39\) −3.01245 0.884534i −0.482378 0.141639i
\(40\) 7.44001 3.46539i 1.17637 0.547927i
\(41\) 1.52135 3.33129i 0.237595 0.520259i −0.752847 0.658196i \(-0.771320\pi\)
0.990441 + 0.137937i \(0.0440470\pi\)
\(42\) 4.56800 + 0.206158i 0.704858 + 0.0318109i
\(43\) −5.82692 + 9.06687i −0.888597 + 1.38268i 0.0350272 + 0.999386i \(0.488848\pi\)
−0.923625 + 0.383298i \(0.874788\pi\)
\(44\) −2.03172 + 2.61029i −0.306293 + 0.393516i
\(45\) 2.90178i 0.432572i
\(46\) 5.71848 + 3.64678i 0.843144 + 0.537688i
\(47\) 8.73791 1.27456 0.637278 0.770634i \(-0.280060\pi\)
0.637278 + 0.770634i \(0.280060\pi\)
\(48\) 1.79727 3.57349i 0.259413 0.515789i
\(49\) 2.90616 + 1.86768i 0.415166 + 0.266811i
\(50\) 0.218080 4.83216i 0.0308412 0.683371i
\(51\) 4.37969 + 2.00014i 0.613279 + 0.280075i
\(52\) −5.92355 + 2.08338i −0.821449 + 0.288913i
\(53\) 3.74971 12.7704i 0.515063 1.75414i −0.131535 0.991312i \(-0.541991\pi\)
0.646598 0.762831i \(-0.276191\pi\)
\(54\) −0.876985 1.10946i −0.119342 0.150978i
\(55\) 1.99368 + 4.36555i 0.268828 + 0.588650i
\(56\) 7.65622 5.00187i 1.02311 0.668403i
\(57\) −0.257869 + 0.297597i −0.0341556 + 0.0394177i
\(58\) −4.78053 3.38622i −0.627714 0.444633i
\(59\) 1.25320 + 4.26802i 0.163153 + 0.555649i 0.999967 + 0.00816090i \(0.00259772\pi\)
−0.836813 + 0.547488i \(0.815584\pi\)
\(60\) −3.38999 4.71055i −0.437645 0.608130i
\(61\) 3.95379 + 6.15222i 0.506231 + 0.787711i 0.996476 0.0838737i \(-0.0267292\pi\)
−0.490245 + 0.871584i \(0.663093\pi\)
\(62\) 7.60072 + 1.44522i 0.965292 + 0.183544i
\(63\) −0.460154 3.20044i −0.0579739 0.403218i
\(64\) −1.25714 7.90061i −0.157143 0.987576i
\(65\) −1.29656 + 9.01777i −0.160818 + 1.11852i
\(66\) 2.08163 + 1.06658i 0.256230 + 0.131286i
\(67\) −1.33024 + 1.15266i −0.162515 + 0.140820i −0.732322 0.680959i \(-0.761563\pi\)
0.569807 + 0.821778i \(0.307018\pi\)
\(68\) 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 \(-0.521167\pi\)
\(72\) −2.71975 0.776488i −0.320526 0.0915100i
\(73\) 0.408778 2.84311i 0.0478438 0.332761i −0.951816 0.306670i \(-0.900785\pi\)
0.999660 0.0260906i \(-0.00830584\pi\)
\(74\) −4.98640 1.71186i −0.579657 0.199000i
\(75\) −3.38552 + 0.486764i −0.390926 + 0.0562067i
\(76\) −0.0709417 + 0.784352i −0.00813757 + 0.0899714i
\(77\) 2.89115 + 4.49871i 0.329477 + 0.512676i
\(78\) 2.22965 + 3.83968i 0.252459 + 0.434758i
\(79\) −1.26059 + 0.370142i −0.141827 + 0.0416442i −0.351876 0.936047i \(-0.614456\pi\)
0.210048 + 0.977691i \(0.432638\pi\)
\(80\) −11.0061 3.68647i −1.23052 0.412159i
\(81\) −0.654861 + 0.755750i −0.0727623 + 0.0839722i
\(82\) −4.80336 + 1.93692i −0.530442 + 0.213897i
\(83\) −7.35078 + 3.35699i −0.806852 + 0.368477i −0.775751 0.631039i \(-0.782629\pi\)
−0.0311014 + 0.999516i \(0.509901\pi\)
\(84\) −4.48588 4.65781i −0.489449 0.508208i
\(85\) 3.93622 13.4055i 0.426943 1.45403i
\(86\) 14.8034 3.63048i 1.59630 0.391485i
\(87\) −1.72084 + 3.76812i −0.184494 + 0.403984i
\(88\) 4.62519 0.700440i 0.493047 0.0746671i
\(89\) −0.761319 0.489270i −0.0806996 0.0518625i 0.499669 0.866217i \(-0.333455\pi\)
−0.580368 + 0.814354i \(0.697091\pi\)
\(90\) −2.82447 + 2.97708i −0.297725 + 0.313812i
\(91\) 10.1515i 1.06417i
\(92\) −2.31726 9.30754i −0.241591 0.970378i
\(93\) 5.47081i 0.567297i
\(94\) −8.96467 8.50512i −0.924635 0.877236i
\(95\) 0.961262 + 0.617766i 0.0986234 + 0.0633814i
\(96\) −5.32219 + 1.91684i −0.543194 + 0.195636i
\(97\) −4.43100 + 9.70254i −0.449900 + 0.985144i 0.539774 + 0.841810i \(0.318510\pi\)
−0.989674 + 0.143334i \(0.954218\pi\)
\(98\) −1.16366 4.74488i −0.117547 0.479305i
\(99\) 0.465957 1.58690i 0.0468304 0.159490i
\(100\) −4.92716 + 4.74529i −0.492716 + 0.474529i
\(101\) −17.6857 + 8.07677i −1.75979 + 0.803669i −0.774544 + 0.632520i \(0.782021\pi\)
−0.985245 + 0.171149i \(0.945252\pi\)
\(102\) −2.54650 6.31505i −0.252141 0.625283i
\(103\) 1.86962 2.15765i 0.184219 0.212600i −0.656127 0.754651i \(-0.727806\pi\)
0.840346 + 0.542051i \(0.182352\pi\)
\(104\) 8.10515 + 3.62829i 0.794775 + 0.355783i
\(105\) −9.00242 + 2.64335i −0.878546 + 0.257964i
\(106\) −16.2771 + 9.45194i −1.58098 + 0.918053i
\(107\) 5.97553 + 9.29811i 0.577677 + 0.898882i 0.999971 0.00757633i \(-0.00241164\pi\)
−0.422295 + 0.906459i \(0.638775\pi\)
\(108\) −0.180157 + 1.99187i −0.0173356 + 0.191668i
\(109\) 2.95934 0.425488i 0.283453 0.0407544i 0.000878016 1.00000i \(-0.499721\pi\)
0.282575 + 0.959245i \(0.408811\pi\)
\(110\) 2.20382 6.41940i 0.210126 0.612066i
\(111\) −0.530537 + 3.68996i −0.0503563 + 0.350236i
\(112\) −12.7235 2.32057i −1.20226 0.219273i
\(113\) 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
\(118\) 2.86859 5.59860i 0.264075 0.515392i
\(119\) 2.21555 15.4095i 0.203099 1.41258i
\(120\) −1.10710 + 8.13247i −0.101064 + 0.742389i
\(121\) −1.17618 8.18050i −0.106925 0.743682i
\(122\) 1.93192 10.1603i 0.174907 0.919872i
\(123\) 1.97995 + 3.08087i 0.178526 + 0.277792i
\(124\) −6.39124 8.88094i −0.573950 0.797532i
\(125\) −1.29142 4.39817i −0.115508 0.393384i
\(126\) −2.64308 + 3.73139i −0.235464 + 0.332418i
\(127\) 2.29087 2.64381i 0.203282 0.234600i −0.644950 0.764225i \(-0.723122\pi\)
0.848232 + 0.529625i \(0.177667\pi\)
\(128\) −6.40035 + 9.32928i −0.565717 + 0.824600i
\(129\) −4.47726 9.80384i −0.394201 0.863180i
\(130\) 10.1077 7.98977i 0.886506 0.700749i
\(131\) 0.608616 2.07276i 0.0531751 0.181098i −0.928623 0.371024i \(-0.879007\pi\)
0.981798 + 0.189926i \(0.0608249\pi\)
\(132\) −1.09749 3.12042i −0.0955239 0.271598i
\(133\) 1.15816 + 0.528914i 0.100425 + 0.0458627i
\(134\) 2.48671 + 0.112228i 0.214819 + 0.00969501i
\(135\) 2.44113 + 1.56882i 0.210099 + 0.135023i
\(136\) −11.5113 7.27649i −0.987088 0.623954i
\(137\) 12.8472 1.09761 0.548805 0.835950i \(-0.315083\pi\)
0.548805 + 0.835950i \(0.315083\pi\)
\(138\) −6.15951 + 2.83910i −0.524332 + 0.241680i
\(139\) 6.43812i 0.546074i −0.962003 0.273037i \(-0.911972\pi\)
0.962003 0.273037i \(-0.0880282\pi\)
\(140\) −11.5258 + 14.8081i −0.974111 + 1.25151i
\(141\) −4.72407 + 7.35080i −0.397839 + 0.619049i
\(142\) −0.857017 + 18.9895i −0.0719193 + 1.59357i
\(143\) −2.15709 + 4.72337i −0.180385 + 0.394988i
\(144\) 2.03453 + 3.44393i 0.169544 + 0.286994i
\(145\) 11.5336 + 3.38657i 0.957813 + 0.281239i
\(146\) −3.18675 + 2.51900i −0.263737 + 0.208474i
\(147\) −3.14238 + 1.43508i −0.259179 + 0.118363i
\(148\) 3.44954 + 6.60983i 0.283550 + 0.543325i
\(149\) −13.3170 11.5392i −1.09097 0.945331i −0.0922413 0.995737i \(-0.529403\pi\)
−0.998729 + 0.0504057i \(0.983949\pi\)
\(150\) 3.94717 + 2.79592i 0.322285 + 0.228286i
\(151\) 15.2149 4.46750i 1.23817 0.363560i 0.403844 0.914828i \(-0.367674\pi\)
0.834329 + 0.551267i \(0.185856\pi\)
\(152\) 0.836238 0.735655i 0.0678279 0.0596695i
\(153\) −4.05046 + 2.60307i −0.327461 + 0.210446i
\(154\) 1.41268 7.42958i 0.113837 0.598692i
\(155\) −15.7135 + 2.25926i −1.26214 + 0.181468i
\(156\) 1.44987 6.10957i 0.116082 0.489157i
\(157\) −8.00036 1.15028i −0.638498 0.0918022i −0.184540 0.982825i \(-0.559079\pi\)
−0.453958 + 0.891023i \(0.649989\pi\)
\(158\) 1.65358 + 0.847255i 0.131552 + 0.0674040i
\(159\) 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 −0.614361 0.789025i \(-0.710586\pi\)
0.693561 + 0.720398i \(0.256041\pi\)
\(164\) 6.81333 + 2.68820i 0.532031 + 0.209913i
\(165\) −4.75040 0.683004i −0.369818 0.0531718i
\(166\) 10.8091 + 3.71083i 0.838947 + 0.288016i
\(167\) −3.03690 21.1221i −0.235002 1.63447i −0.675954 0.736944i \(-0.736268\pi\)
0.440952 0.897531i \(-0.354641\pi\)
\(168\) 0.0685752 + 9.14504i 0.00529069 + 0.705555i
\(169\) 2.64386 1.69911i 0.203374 0.130700i
\(170\) −17.0868 + 9.92207i −1.31049 + 0.760988i
\(171\) −0.110940 0.377826i −0.00848378 0.0288931i
\(172\) −18.7214 10.6844i −1.42749 0.814674i
\(173\) 0.942503 + 0.816684i 0.0716572 + 0.0620913i 0.689953 0.723854i \(-0.257631\pi\)
−0.618296 + 0.785945i \(0.712177\pi\)
\(174\) 5.43322 2.19091i 0.411892 0.166092i
\(175\) 4.59413 + 10.0597i 0.347284 + 0.760445i
\(176\) −5.42699 3.78335i −0.409075 0.285181i
\(177\) −4.26802 1.25320i −0.320804 0.0941966i
\(178\) 0.304841 + 1.24300i 0.0228488 + 0.0931669i
\(179\) −23.7424 10.8428i −1.77459 0.810427i −0.978791 0.204863i \(-0.934325\pi\)
−0.795797 0.605564i \(-0.792948\pi\)
\(180\) 5.79554 0.305120i 0.431974 0.0227423i
\(181\) −1.07296 + 1.66955i −0.0797521 + 0.124097i −0.878838 0.477120i \(-0.841681\pi\)
0.799086 + 0.601217i \(0.205317\pi\)
\(182\) 9.88105 10.4149i 0.732432 0.772007i
\(183\) −7.31316 −0.540604
\(184\) −6.68217 + 11.8046i −0.492616 + 0.870247i
\(185\) 10.8176 0.795324
\(186\) −5.32506 + 5.61278i −0.390452 + 0.411549i
\(187\) 4.30522 6.69905i 0.314829 0.489883i
\(188\) 0.918785 + 17.4517i 0.0670093 + 1.27279i
\(189\) 2.94116 + 1.34318i 0.213938 + 0.0977022i
\(190\) −0.384901 1.56945i −0.0279236 0.113860i
\(191\) −16.2361 4.76735i −1.17480 0.344953i −0.364634 0.931151i \(-0.618806\pi\)
−0.810168 + 0.586198i \(0.800624\pi\)
\(192\) 7.32608 + 3.21382i 0.528714 + 0.231937i
\(193\) −10.8368 23.7294i −0.780052 1.70808i −0.703154 0.711037i \(-0.748226\pi\)
−0.0768979 0.997039i \(-0.524502\pi\)
\(194\) 13.9900 5.64138i 1.00443 0.405027i
\(195\) −6.88526 5.96611i −0.493063 0.427242i
\(196\) −3.42460 + 6.00066i −0.244615 + 0.428619i
\(197\) 1.70982 + 5.82310i 0.121819 + 0.414879i 0.997710 0.0676302i \(-0.0215438\pi\)
−0.875891 + 0.482509i \(0.839726\pi\)
\(198\) −2.02267 + 1.17454i −0.143745 + 0.0834710i
\(199\) 11.9882 7.70434i 0.849820 0.546146i −0.0416984 0.999130i \(-0.513277\pi\)
0.891519 + 0.452984i \(0.149641\pi\)
\(200\) 9.67389 0.0725408i 0.684047 0.00512941i
\(201\) −0.250497 1.74225i −0.0176687 0.122889i
\(202\) 26.0062 + 8.92811i 1.82979 + 0.628180i
\(203\) 13.2577 + 1.90617i 0.930508 + 0.133787i
\(204\) −3.53422 + 8.95758i −0.247445 + 0.627156i
\(205\) 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
\(210\) 11.8090 + 6.05063i 0.814896 + 0.417533i
\(211\) −6.54025 0.940346i −0.450249 0.0647361i −0.0865395 0.996248i \(-0.527581\pi\)
−0.363710 + 0.931512i \(0.618490\pi\)
\(212\) 25.8997 + 6.14626i 1.77880 + 0.422127i
\(213\) 13.3045 1.91290i 0.911608 0.131069i
\(214\) 2.91979 15.3557i 0.199593 1.04970i
\(215\) −26.3101 + 16.9085i −1.79433 + 1.15315i
\(216\) 2.12363 1.86820i 0.144495 0.127115i
\(217\) −16.9725 + 4.98358i −1.15217 + 0.338308i
\(218\) −3.45028 2.44396i −0.233683 0.165526i
\(219\) 2.17078 + 1.88099i 0.146687 + 0.127105i
\(220\) −8.50939 + 4.44088i −0.573703 + 0.299404i
\(221\) 13.7506 6.27968i 0.924964 0.422417i
\(222\) 4.13596 3.26932i 0.277587 0.219422i
\(223\) 28.2291 + 8.28880i 1.89036 + 0.555059i 0.993662 + 0.112413i \(0.0358580\pi\)
0.896696 + 0.442646i \(0.145960\pi\)
\(224\) 10.7950 + 14.7653i 0.721268 + 0.986550i
\(225\) 1.42086 3.11124i 0.0947238 0.207416i
\(226\) 1.02681 22.7519i 0.0683027 1.51343i
\(227\) 15.6784 24.3960i 1.04061 1.61922i 0.291746 0.956496i \(-0.405764\pi\)
0.748864 0.662724i \(-0.230600\pi\)
\(228\) −0.621485 0.483733i −0.0411589 0.0320360i
\(229\) 22.1268i 1.46218i −0.682282 0.731089i \(-0.739012\pi\)
0.682282 0.731089i \(-0.260988\pi\)
\(230\) 10.6982 + 16.5192i 0.705422 + 1.08924i
\(231\) −5.34763 −0.351848
\(232\) 6.26041 9.90390i 0.411016 0.650223i
\(233\) −6.17433 3.96800i −0.404494 0.259952i 0.322538 0.946557i \(-0.395464\pi\)
−0.727031 + 0.686604i \(0.759100\pi\)
\(234\) −4.43558 0.200182i −0.289963 0.0130863i
\(235\) 23.0642 + 10.5331i 1.50454 + 0.687101i
\(236\) −8.39246 + 2.95172i −0.546303 + 0.192141i
\(237\) 0.370142 1.26059i 0.0240433 0.0818840i
\(238\) −17.2720 + 13.6528i −1.11957 + 0.884981i
\(239\) 0.444260 + 0.972794i 0.0287368 + 0.0629248i 0.923456 0.383704i \(-0.125352\pi\)
−0.894719 + 0.446629i \(0.852624\pi\)
\(240\) 9.05162 7.26591i 0.584280 0.469012i
\(241\) 11.2918 13.0314i 0.727369 0.839429i −0.264803 0.964302i \(-0.585307\pi\)
0.992173 + 0.124873i \(0.0398525\pi\)
\(242\) −6.75586 + 9.53763i −0.434283 + 0.613102i
\(243\) −0.281733 0.959493i −0.0180732 0.0615515i
\(244\) −11.8717 + 8.54355i −0.760006 + 0.546944i
\(245\) 5.41958 + 8.43304i 0.346245 + 0.538767i
\(246\) 0.967452 5.08802i 0.0616825 0.324400i
\(247\) 0.175946 + 1.22373i 0.0111951 + 0.0778639i
\(248\) −2.08724 + 15.3324i −0.132540 + 0.973607i
\(249\) 1.15005 7.99879i 0.0728816 0.506903i
\(250\) −2.95606 + 5.76932i −0.186958 + 0.364884i
\(251\) −2.84520 + 2.46538i −0.179587 + 0.155613i −0.740016 0.672590i \(-0.765182\pi\)
0.560428 + 0.828203i \(0.310637\pi\)
\(252\) 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
\(256\) 15.6472 3.34155i 0.977948 0.208847i
\(257\) −2.74839 + 19.1155i −0.171440 + 1.19239i 0.704405 + 0.709799i \(0.251214\pi\)
−0.875845 + 0.482593i \(0.839695\pi\)
\(258\) −4.94919 + 14.4162i −0.308123 + 0.897516i
\(259\) 11.9310 1.71541i 0.741353 0.106590i
\(260\) −18.1469 1.64132i −1.12542 0.101790i
\(261\) −2.23958 3.48486i −0.138627 0.215707i
\(262\) −2.64194 + 1.53414i −0.163220 + 0.0947798i
\(263\) −14.2737 + 4.19112i −0.880152 + 0.258436i −0.690427 0.723402i \(-0.742578\pi\)
−0.189724 + 0.981837i \(0.560759\pi\)
\(264\) −1.91132 + 4.26964i −0.117634 + 0.262778i
\(265\) 25.2915 29.1880i 1.55364 1.79300i
\(266\) −0.673393 1.66995i −0.0412884 0.102391i
\(267\) 0.823200 0.375943i 0.0503790 0.0230073i
\(268\) −2.44201 2.53560i −0.149169 0.154887i
\(269\) 7.50016 25.5432i 0.457293 1.55740i −0.331938 0.943301i \(-0.607703\pi\)
0.789231 0.614096i \(-0.210479\pi\)
\(270\) −0.977458 3.98563i −0.0594862 0.242558i
\(271\) −2.87150 + 6.28771i −0.174431 + 0.381951i −0.976574 0.215181i \(-0.930966\pi\)
0.802143 + 0.597132i \(0.203693\pi\)
\(272\) 4.72742 + 18.6700i 0.286642 + 1.13203i
\(273\) −8.53999 5.48832i −0.516864 0.332168i
\(274\) −13.1806 12.5049i −0.796269 0.755450i
\(275\) 5.65688i 0.341122i
\(276\) 9.08281 + 3.08263i 0.546721 + 0.185553i
\(277\) 2.91857i 0.175360i −0.996149 0.0876799i \(-0.972055\pi\)
0.996149 0.0876799i \(-0.0279453\pi\)
\(278\) −6.26660 + 6.60519i −0.375845 + 0.396153i
\(279\) 4.60234 + 2.95774i 0.275535 + 0.177076i
\(280\) 26.2385 3.97356i 1.56805 0.237466i
\(281\) −8.03880 + 17.6025i −0.479555 + 1.05008i 0.503031 + 0.864268i \(0.332218\pi\)
−0.982586 + 0.185810i \(0.940509\pi\)
\(282\) 12.0016 2.94335i 0.714686 0.175274i
\(283\) −5.26341 + 17.9255i −0.312877 + 1.06556i 0.641541 + 0.767089i \(0.278295\pi\)
−0.954418 + 0.298473i \(0.903523\pi\)
\(284\) 19.3629 18.6481i 1.14898 1.10656i
\(285\) −1.03940 + 0.474676i −0.0615685 + 0.0281174i
\(286\) 6.81059 2.74632i 0.402719 0.162393i
\(287\) 7.75440 8.94905i 0.457727 0.528246i
\(288\) 1.26485 5.51363i 0.0745319 0.324894i
\(289\) −5.93182 + 1.74174i −0.348931 + 0.102455i
\(290\) −8.53656 14.7008i −0.501284 0.863259i
\(291\) −5.76672 8.97319i −0.338051 0.526018i
\(292\) 5.72134 + 0.517474i 0.334816 + 0.0302829i
\(293\) −0.775885 + 0.111555i −0.0453277 + 0.00651714i −0.164941 0.986303i \(-0.552743\pi\)
0.119614 + 0.992821i \(0.461834\pi\)
\(294\) 4.62077 + 1.58634i 0.269488 + 0.0925173i
\(295\) −1.83696 + 12.7763i −0.106952 + 0.743867i
\(296\) 2.89468 10.1390i 0.168250 0.589317i
\(297\) 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
\(302\) −19.9582 10.2261i −1.14847 0.588447i
\(303\) 2.76698 19.2448i 0.158959 1.10558i
\(304\) −1.57399 0.0592131i −0.0902748 0.00339611i
\(305\) 3.02009 + 21.0052i 0.172930 + 1.20275i
\(306\) 6.68930 + 1.27192i 0.382402 + 0.0727110i
\(307\) 16.4233 + 25.5551i 0.937325 + 1.45851i 0.888064 + 0.459720i \(0.152050\pi\)
0.0492612 + 0.998786i \(0.484313\pi\)
\(308\) −8.68098 + 6.24733i −0.494645 + 0.355975i
\(309\) 0.804342 + 2.73934i 0.0457574 + 0.155836i
\(310\) 18.3204 + 12.9770i 1.04053 + 0.737043i
\(311\) 3.62696 4.18573i 0.205666 0.237351i −0.643541 0.765412i \(-0.722535\pi\)
0.849206 + 0.528061i \(0.177081\pi\)
\(312\) −7.43429 + 4.85688i −0.420884 + 0.274967i
\(313\) 11.3612 + 24.8775i 0.642172 + 1.40616i 0.898242 + 0.439501i \(0.144845\pi\)
−0.256070 + 0.966658i \(0.582428\pi\)
\(314\) 7.08834 + 8.96734i 0.400018 + 0.506056i
\(315\) 2.64335 9.00242i 0.148936 0.507229i
\(316\) −0.871810 2.47877i −0.0490431 0.139442i
\(317\) 18.8181 + 8.59394i 1.05693 + 0.482683i 0.866583 0.499033i \(-0.166312\pi\)
0.190347 + 0.981717i \(0.439039\pi\)
\(318\) 0.848612 18.8033i 0.0475878 1.05444i
\(319\) 5.76360 + 3.70404i 0.322700 + 0.207386i
\(320\) 6.20545 22.3695i 0.346895 1.25049i
\(321\) −11.0527 −0.616901
\(322\) 14.4189 + 16.5229i 0.803533 + 0.920784i
\(323\) 1.89596i 0.105494i
\(324\) −1.57827 1.22844i −0.0876815 0.0682469i
\(325\) −5.80570 + 9.03385i −0.322042 + 0.501108i
\(326\) −1.89023 0.0853081i −0.104690 0.00472478i
\(327\) −1.24199 + 2.71959i −0.0686824 + 0.150394i
\(328\) −4.37355 9.38977i −0.241489 0.518463i
\(329\) 27.1083 + 7.95972i 1.49453 + 0.438833i
\(330\) 4.20887 + 5.32456i 0.231690 + 0.293108i
\(331\) 18.9367 8.64808i 1.04085 0.475342i 0.179718 0.983718i \(-0.442481\pi\)
0.861135 + 0.508376i \(0.169754\pi\)
\(332\) −7.47762 14.3282i −0.410388 0.786364i
\(333\) −2.81737 2.44126i −0.154391 0.133780i
\(334\) −17.4436 + 24.6262i −0.954473 + 1.34748i
\(335\) −4.90071 + 1.43898i −0.267754 + 0.0786198i
\(336\) 8.83104 9.44911i 0.481773 0.515491i
\(337\) 2.73466 1.75746i 0.148967 0.0957350i −0.464034 0.885817i \(-0.653599\pi\)
0.613001 + 0.790082i \(0.289962\pi\)
\(338\) −4.36631 0.830223i −0.237496 0.0451582i
\(339\) −15.9405 + 2.29189i −0.865767 + 0.124479i
\(340\) 27.1879 + 6.45197i 1.47447 + 0.349907i
\(341\) −8.95606 1.28769i −0.484998 0.0697322i
\(342\) −0.253941 + 0.495615i −0.0137316 + 0.0267998i
\(343\) −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 −0.939208 0.343349i \(-0.888439\pi\)
0.206191 + 0.978512i \(0.433893\pi\)
\(348\) −7.70675 3.04071i −0.413125 0.162999i
\(349\) −33.4436 4.80846i −1.79019 0.257391i −0.834344 0.551245i \(-0.814153\pi\)
−0.955850 + 0.293853i \(0.905062\pi\)
\(350\) 5.07838 14.7925i 0.271451 0.790694i
\(351\) 0.446815 + 3.10767i 0.0238492 + 0.165875i
\(352\) 1.88528 + 9.16394i 0.100486 + 0.488439i
\(353\) 5.58842 3.59146i 0.297442 0.191154i −0.383405 0.923581i \(-0.625248\pi\)
0.680846 + 0.732426i \(0.261612\pi\)
\(354\) 3.15896 + 5.44004i 0.167897 + 0.289135i
\(355\) −10.9886 37.4238i −0.583215 1.98625i
\(356\) 0.897134 1.57198i 0.0475480 0.0833147i
\(357\) 11.7654 + 10.1948i 0.622694 + 0.539567i
\(358\) 13.8046 + 34.2340i 0.729595 + 1.80932i
\(359\) −5.27450 11.5495i −0.278377 0.609561i 0.717864 0.696183i \(-0.245120\pi\)
−0.996241 + 0.0866221i \(0.972393\pi\)
\(360\) −6.24292 5.32809i −0.329031 0.280815i
\(361\) −18.0816 5.30923i −0.951662 0.279433i
\(362\) 2.72587 0.668507i 0.143269 0.0351360i
\(363\) 7.51777 + 3.43325i 0.394580 + 0.180199i
\(364\) −20.2749 + 1.06742i −1.06270 + 0.0559482i
\(365\) 4.50620 7.01178i 0.235865 0.367014i
\(366\) 7.50294 + 7.11832i 0.392185 + 0.372080i
\(367\) −14.0461 −0.733199 −0.366599 0.930379i \(-0.619478\pi\)
−0.366599 + 0.930379i \(0.619478\pi\)
\(368\) 18.3457 5.60679i 0.956335 0.292274i
\(369\) −3.66223 −0.190648
\(370\) −11.0983 10.5294i −0.576973 0.547396i
\(371\) 23.2661 36.2027i 1.20791 1.87955i
\(372\) 10.9265 0.575252i 0.566512 0.0298254i
\(373\) 25.5476 + 11.6672i 1.32281 + 0.604105i 0.946594 0.322429i \(-0.104499\pi\)
0.376211 + 0.926534i \(0.377227\pi\)
\(374\) −10.9375 + 2.68238i −0.565565 + 0.138702i
\(375\) 4.39817 + 1.29142i 0.227121 + 0.0666886i
\(376\) 16.0441 18.7988i 0.827410 0.969477i
\(377\) 5.40279 + 11.8305i 0.278258 + 0.609300i
\(378\) −1.71009 4.24084i −0.0879574 0.218125i
\(379\) −27.0336 23.4248i −1.38862 1.20325i −0.952943 0.303148i \(-0.901962\pi\)
−0.435681 0.900101i \(-0.643492\pi\)
\(380\) −1.13275 + 1.98482i −0.0581087 + 0.101819i
\(381\) 0.985573 + 3.35655i 0.0504924 + 0.171961i
\(382\) 12.0171 + 20.6946i 0.614848 + 1.05883i
\(383\) −1.84011 + 1.18257i −0.0940253 + 0.0604264i −0.586809 0.809726i \(-0.699616\pi\)
0.492783 + 0.870152i \(0.335980\pi\)
\(384\) −4.38800 10.4281i −0.223924 0.532157i
\(385\) 2.20839 + 15.3597i 0.112550 + 0.782803i
\(386\) −11.9791 + 34.8933i −0.609720 + 1.77602i
\(387\) 10.6681 + 1.53384i 0.542290 + 0.0779696i
\(388\) −19.8442 7.82954i −1.00743 0.397484i
\(389\) −18.1632 + 15.7385i −0.920910 + 0.797973i −0.979736 0.200295i \(-0.935810\pi\)
0.0588257 + 0.998268i \(0.481264\pi\)
\(390\) 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
\(394\) 3.91377 7.63847i 0.197173 0.384821i
\(395\) −3.77357 0.542558i −0.189869 0.0272990i
\(396\) 3.21841 + 0.763763i 0.161731 + 0.0383805i
\(397\) 13.9869 2.01101i 0.701983 0.100930i 0.217924 0.975966i \(-0.430071\pi\)
0.484058 + 0.875036i \(0.339162\pi\)
\(398\) −19.7984 3.76452i −0.992403 0.188699i
\(399\) −1.07110 + 0.688354i −0.0536221 + 0.0344608i
\(400\) −9.99554 9.34173i −0.499777 0.467087i
\(401\) −7.55046 + 2.21702i −0.377052 + 0.110712i −0.464767 0.885433i \(-0.653862\pi\)
0.0877146 + 0.996146i \(0.472044\pi\)
\(402\) −1.43883 + 2.03128i −0.0717624 + 0.101311i
\(403\) −12.9810 11.2481i −0.646628 0.560307i
\(404\) −17.9908 34.4731i −0.895078 1.71510i
\(405\) −2.63955 + 1.20544i −0.131160 + 0.0598990i
\(406\) −11.7464 14.8601i −0.582962 0.737496i
\(407\) 5.91583 + 1.73704i 0.293237 + 0.0861021i
\(408\) 12.3449 5.74997i 0.611162 0.284666i
\(409\) 6.63514 14.5289i 0.328087 0.718410i −0.671661 0.740858i \(-0.734419\pi\)
0.999748 + 0.0224487i \(0.00714625\pi\)
\(410\) −15.0136 0.677577i −0.741467 0.0334632i
\(411\) −6.94572 + 10.8078i −0.342607 + 0.533107i
\(412\) 4.50593 + 3.50719i 0.221991 + 0.172787i
\(413\) 14.3826i 0.707722i
\(414\) 0.941683 6.71664i 0.0462812 0.330105i
\(415\) −23.4494 −1.15109
\(416\) −6.39430 + 16.5694i −0.313506 + 0.812381i
\(417\) 5.41609 + 3.48071i 0.265227 + 0.170451i
\(418\) 0.0415247 0.920094i 0.00203104 0.0450032i
\(419\) 10.0088 + 4.57088i 0.488963 + 0.223302i 0.644611 0.764511i \(-0.277019\pi\)
−0.155648 + 0.987813i \(0.549747\pi\)
\(420\) −6.22598 17.7020i −0.303797 0.863769i
\(421\) −6.37343 + 21.7059i −0.310622 + 1.05788i 0.645219 + 0.763998i \(0.276766\pi\)
−0.955841 + 0.293884i \(0.905052\pi\)
\(422\) 5.79468 + 7.33075i 0.282081 + 0.356855i
\(423\) −3.62986 7.94829i −0.176490 0.386459i
\(424\) −20.5893 31.5154i −0.999903 1.53052i
\(425\) 10.7844 12.4458i 0.523119 0.603712i
\(426\) −15.5117 10.9875i −0.751543 0.532346i
\(427\) 6.66185 + 22.6882i 0.322389 + 1.09796i
\(428\) −17.9422 + 12.9122i −0.867268 + 0.624136i
\(429\) −2.80734 4.36830i −0.135540 0.210904i
\(430\) 43.4508 + 8.26187i 2.09538 + 0.398423i
\(431\) −2.92978 20.3771i −0.141122 0.981528i −0.930152 0.367174i \(-0.880326\pi\)
0.789030 0.614355i \(-0.210584\pi\)
\(432\) −3.99717 0.150372i −0.192314 0.00723479i
\(433\) −4.02574 + 27.9997i −0.193465 + 1.34558i 0.629285 + 0.777175i \(0.283348\pi\)
−0.822750 + 0.568404i \(0.807561\pi\)
\(434\) 22.2638 + 11.4074i 1.06870 + 0.547574i
\(435\) −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 \(0.900974\pi\)
\(440\) 13.0528 + 3.72656i 0.622267 + 0.177657i
\(441\) 0.491635 3.41940i 0.0234112 0.162828i
\(442\) −20.2198 6.94159i −0.961758 0.330178i
\(443\) 1.93107 0.277645i 0.0917477 0.0131913i −0.0962881 0.995354i \(-0.530697\pi\)
0.188036 + 0.982162i \(0.439788\pi\)
\(444\) −7.42551 0.671609i −0.352399 0.0318732i
\(445\) −1.41975 2.20918i −0.0673028 0.104725i
\(446\) −20.8937 35.9809i −0.989343 1.70374i
\(447\) 16.9071 4.96438i 0.799680 0.234807i
\(448\) 3.29686 25.6558i 0.155762 1.21212i
\(449\) −9.20577 + 10.6240i −0.434447 + 0.501379i −0.930184 0.367094i \(-0.880353\pi\)
0.495737 + 0.868473i \(0.334898\pi\)
\(450\) −4.48608 + 1.80898i −0.211476 + 0.0852761i
\(451\) 5.50960 2.51615i 0.259437 0.118481i
\(452\) −23.1992 + 22.3428i −1.09120 + 1.05092i
\(453\) −4.46750 + 15.2149i −0.209902 + 0.714859i
\(454\) −39.8313 + 9.76844i −1.86937 + 0.458456i
\(455\) −12.2371 + 26.7954i −0.573682 + 1.25619i
\(456\) 0.166768 + 1.10121i 0.00780963 + 0.0515691i
\(457\) −11.1846 7.18789i −0.523192 0.336235i 0.252241 0.967664i \(-0.418832\pi\)
−0.775434 + 0.631429i \(0.782469\pi\)
\(458\) −21.5373 + 22.7010i −1.00637 + 1.06075i
\(459\) 4.81479i 0.224735i
\(460\) 5.10318 27.3611i 0.237937 1.27572i
\(461\) 33.7864i 1.57359i 0.617214 + 0.786796i \(0.288261\pi\)
−0.617214 + 0.786796i \(0.711739\pi\)
\(462\) 5.48640 + 5.20516i 0.255251 + 0.242166i
\(463\) −12.5349 8.05572i −0.582548 0.374381i 0.215926 0.976410i \(-0.430723\pi\)
−0.798475 + 0.602029i \(0.794359\pi\)
\(464\) −16.0629 + 4.06729i −0.745702 + 0.188819i
\(465\) 6.59475 14.4405i 0.305824 0.669662i
\(466\) 2.47227 + 10.0808i 0.114526 + 0.466984i
\(467\) 5.06583 17.2526i 0.234419 0.798357i −0.755306 0.655372i \(-0.772512\pi\)
0.989725 0.142985i \(-0.0456701\pi\)
\(468\) 4.35584 + 4.52279i 0.201349 + 0.209066i
\(469\) −5.17692 + 2.36422i −0.239048 + 0.109169i
\(470\) −13.4103 33.2561i −0.618570 1.53399i
\(471\) 5.29300 6.10844i 0.243888 0.281462i
\(472\) 11.4833 + 5.14055i 0.528563 + 0.236613i
\(473\) −17.1033 + 5.02199i −0.786412 + 0.230911i
\(474\) −1.60675 + 0.933020i −0.0738005 + 0.0428550i
\(475\) 0.728161 + 1.13304i 0.0334103 + 0.0519875i
\(476\) 31.0093 + 2.80467i 1.42131 + 0.128552i
\(477\) −13.1740 + 1.89414i −0.603196 + 0.0867266i
\(478\) 0.491088 1.43046i 0.0224618 0.0654279i
\(479\) 3.18514 22.1531i 0.145533 1.01220i −0.777885 0.628407i \(-0.783707\pi\)
0.923418 0.383796i \(-0.125383\pi\)
\(480\) −16.3588 1.35601i −0.746676 0.0618930i
\(481\) 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
\(486\) −0.644886 + 1.25862i −0.0292526 + 0.0570921i
\(487\) 3.51064 24.4170i 0.159082 1.10644i −0.741247 0.671232i \(-0.765765\pi\)
0.900329 0.435209i \(-0.143326\pi\)
\(488\) 20.4957 + 2.79014i 0.927796 + 0.126304i
\(489\) 0.190411 + 1.32434i 0.00861069 + 0.0598887i
\(490\) 2.64814 13.9271i 0.119631 0.629161i
\(491\) 10.9491 + 17.0372i 0.494127 + 0.768877i 0.995338 0.0964485i \(-0.0307483\pi\)
−0.501211 + 0.865325i \(0.667112\pi\)
\(492\) −5.94502 + 4.27838i −0.268022 + 0.192884i
\(493\) −5.61919 19.1372i −0.253075 0.861896i
\(494\) 1.01061 1.42674i 0.0454697 0.0641922i
\(495\) 3.14284 3.62703i 0.141260 0.163023i
\(496\) 17.0653 13.6986i 0.766254 0.615086i
\(497\) −18.0541 39.5330i −0.809838 1.77330i
\(498\) −8.96558 + 7.08695i −0.401757 + 0.317574i
\(499\) 2.66438 9.07406i 0.119274 0.406211i −0.878113 0.478454i \(-0.841198\pi\)
0.997387 + 0.0722429i \(0.0230157\pi\)
\(500\) 8.64839 3.04173i 0.386768 0.136030i
\(501\) 19.4109 + 8.86465i 0.867214 + 0.396044i
\(502\) 5.31873 + 0.240040i 0.237387 + 0.0107135i
\(503\) 11.6036 + 7.45715i 0.517377 + 0.332498i 0.773134 0.634243i \(-0.218688\pi\)
−0.255757 + 0.966741i \(0.582325\pi\)
\(504\) −7.73037 4.88649i −0.344338 0.217662i
\(505\) −56.4183 −2.51058
\(506\) 3.19799 + 10.7517i 0.142168 + 0.477974i
\(507\) 3.14276i 0.139575i
\(508\) 5.52119 + 4.29741i 0.244963 + 0.190667i
\(509\) −12.1672 + 18.9325i −0.539302 + 0.839170i −0.998798 0.0490096i \(-0.984393\pi\)
0.459497 + 0.888180i \(0.348030\pi\)
\(510\) 0.890821 19.7386i 0.0394462 0.874038i
\(511\) 3.85809 8.44803i 0.170672 0.373719i
\(512\) −19.3057 11.8020i −0.853202 0.521581i
\(513\) 0.377826 + 0.110940i 0.0166814 + 0.00489811i
\(514\) 21.4259 16.9364i 0.945057 0.747032i
\(515\) 7.53588 3.44152i 0.332071 0.151652i
\(516\) 19.1098 9.97301i 0.841261 0.439037i
\(517\) 10.9218 + 9.46379i 0.480340 + 0.416217i
\(518\) −13.9103 9.85316i −0.611182 0.432923i
\(519\) −1.19659 + 0.351352i −0.0525246 + 0.0154226i
\(520\) 17.0203 + 19.3474i 0.746388 + 0.848438i
\(521\) 4.51338 2.90058i 0.197735 0.127077i −0.438027 0.898962i \(-0.644322\pi\)
0.635762 + 0.771885i \(0.280686\pi\)
\(522\) −1.09431 + 5.75521i −0.0478968 + 0.251899i
\(523\) 2.57719 0.370544i 0.112693 0.0162027i −0.0857378 0.996318i \(-0.527325\pi\)
0.198430 + 0.980115i \(0.436416\pi\)
\(524\) 4.20378 + 0.997600i 0.183643 + 0.0435804i
\(525\) −10.9466 1.57388i −0.477747 0.0686897i
\(526\) 18.7235 + 9.59349i 0.816385 + 0.418296i
\(527\) 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
\(532\) −0.934586 + 2.36873i −0.0405194 + 0.102698i
\(533\) 11.3810 + 1.63634i 0.492966 + 0.0708778i
\(534\) −1.21049 0.415569i −0.0523830 0.0179834i
\(535\) 4.56439 + 31.7460i 0.197336 + 1.37250i
\(536\) 0.0373307 + 4.97835i 0.00161244 + 0.215032i
\(537\) 21.9576 14.1113i 0.947541 0.608947i
\(538\) −32.5575 + 18.9057i −1.40365 + 0.815084i
\(539\) 1.60967 + 5.48205i 0.0693336 + 0.236128i
\(540\) −2.87662 + 5.04047i −0.123790 + 0.216908i
\(541\) 3.29608 + 2.85607i 0.141709 + 0.122792i 0.722831 0.691025i \(-0.242840\pi\)
−0.581122 + 0.813817i \(0.697386\pi\)
\(542\) 9.06621 3.65588i 0.389427 0.157034i
\(543\) −0.824432 1.80525i −0.0353798 0.0774709i
\(544\) 13.3225 23.7559i 0.571196 1.01853i
\(545\) 8.32422 + 2.44421i 0.356571 + 0.104699i
\(546\) 3.41951 + 13.9432i 0.146342 + 0.596714i
\(547\) −12.5744 5.74253i −0.537642 0.245533i 0.128039 0.991769i \(-0.459132\pi\)
−0.665681 + 0.746236i \(0.731859\pi\)
\(548\) 1.35087 + 25.6589i 0.0577065 + 1.09609i
\(549\) 3.95379 6.15222i 0.168744 0.262570i
\(550\) 5.50616 5.80368i 0.234784 0.247470i
\(551\) 1.63121 0.0694917
\(552\) −6.31801 12.0034i −0.268912 0.510901i
\(553\) −4.24800 −0.180643
\(554\) −2.84081 + 2.99431i −0.120695 + 0.127216i
\(555\) −5.84842 + 9.10032i −0.248252 + 0.386287i
\(556\) 12.8584 0.676964i 0.545319 0.0287097i
\(557\) 4.11170 + 1.87775i 0.174218 + 0.0795628i 0.500615 0.865670i \(-0.333107\pi\)
−0.326397 + 0.945233i \(0.605835\pi\)
\(558\) −1.84283 7.51422i −0.0780132 0.318102i
\(559\) −32.4676 9.53334i −1.37323 0.403217i
\(560\) −30.7871 21.4627i −1.30099 0.906967i
\(561\) 3.30802 + 7.24356i 0.139665 + 0.305823i
\(562\) 25.3810 10.2347i 1.07063 0.431724i
\(563\) −20.3995 17.6763i −0.859737 0.744967i 0.108740 0.994070i \(-0.465319\pi\)
−0.968477 + 0.249104i \(0.919864\pi\)
\(564\) −15.1780 8.66215i −0.639109 0.364742i
\(565\) 13.1658 + 44.8384i 0.553887 + 1.88637i
\(566\) 22.8479 13.2675i 0.960370 0.557675i
\(567\) −2.72007 + 1.74808i −0.114232 + 0.0734125i
\(568\) −38.0167 + 0.285072i −1.59514 + 0.0119614i
\(569\) 2.14594 + 14.9253i 0.0899625 + 0.625703i 0.984061 + 0.177832i \(0.0569084\pi\)
−0.894098 + 0.447871i \(0.852182\pi\)
\(570\) 1.52840 + 0.524709i 0.0640175 + 0.0219777i
\(571\) 19.6583 + 2.82643i 0.822674 + 0.118283i 0.540781 0.841163i \(-0.318129\pi\)
0.281892 + 0.959446i \(0.409038\pi\)
\(572\) −9.66049 3.81155i −0.403925 0.159369i
\(573\) 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 \(0.944079\pi\)
\(578\) 7.78110 + 3.98685i 0.323651 + 0.165831i
\(579\) 25.8212 + 3.71253i 1.07309 + 0.154288i
\(580\) −5.55103 + 23.3914i −0.230494 + 0.971275i
\(581\) −25.8629 + 3.71852i −1.07297 + 0.154270i
\(582\) −2.81776 + 14.8191i −0.116800 + 0.614273i
\(583\) 18.5181 11.9009i 0.766941 0.492883i
\(584\) −5.36613 6.09981i −0.222052 0.252412i
\(585\) 8.74146 2.56672i 0.361415 0.106121i
\(586\) 0.904603 + 0.640764i 0.0373688 + 0.0264697i
\(587\) 6.58689 + 5.70757i 0.271870 + 0.235577i 0.780115 0.625636i \(-0.215160\pi\)
−0.508245 + 0.861212i \(0.669706\pi\)
\(588\) −3.19660 6.12516i −0.131826 0.252598i
\(589\) −1.95960 + 0.894920i −0.0807440 + 0.0368745i
\(590\) 14.3206 11.3199i 0.589569 0.466032i
\(591\) −5.82310 1.70982i −0.239530 0.0703324i
\(592\) −12.8387 + 7.58456i −0.527666 + 0.311723i
\(593\) 6.89417 15.0961i 0.283109 0.619923i −0.713638 0.700515i \(-0.752954\pi\)
0.996747 + 0.0805917i \(0.0256810\pi\)
\(594\) 0.105452 2.33659i 0.00432677 0.0958712i
\(595\) 24.4233 38.0034i 1.00126 1.55799i
\(596\) 21.6463 27.8105i 0.886666 1.13916i
\(597\) 14.2504i 0.583230i
\(598\) −5.92753 + 20.4523i −0.242395 + 0.836357i
\(599\) 29.8588 1.22000 0.609998 0.792403i \(-0.291170\pi\)
0.609998 + 0.792403i \(0.291170\pi\)
\(600\) −5.16907 + 8.17741i −0.211027 + 0.333841i
\(601\) 5.07392 + 3.26081i 0.206970 + 0.133011i 0.640019 0.768359i \(-0.278926\pi\)
−0.433050 + 0.901370i \(0.642563\pi\)
\(602\) 49.2330 + 2.22194i 2.00659 + 0.0905593i
\(603\) 1.60110 + 0.731198i 0.0652018 + 0.0297767i
\(604\) 10.5225 + 29.9180i 0.428154 + 1.21735i
\(605\) 6.75655 23.0107i 0.274693 0.935517i
\(606\) −21.5708 + 17.0509i −0.876255 + 0.692646i
\(607\) 11.0994 + 24.3043i 0.450511 + 0.986481i 0.989549 + 0.144199i \(0.0460606\pi\)
−0.539038 + 0.842281i \(0.681212\pi\)
\(608\) 1.55721 + 1.59281i 0.0631530 + 0.0645970i
\(609\) −8.77123 + 10.1225i −0.355428 + 0.410186i
\(610\) 17.3471 24.4899i 0.702363 0.991567i
\(611\) 7.72898 + 26.3225i 0.312681 + 1.06489i
\(612\) −5.62485 7.81601i −0.227371 0.315944i
\(613\) 0.295137 + 0.459243i 0.0119205 + 0.0185486i 0.847163 0.531334i \(-0.178309\pi\)
−0.835242 + 0.549882i \(0.814673\pi\)
\(614\) 8.02479 42.2040i 0.323854 1.70321i
\(615\) 1.51238 + 10.5188i 0.0609850 + 0.424160i
\(616\) 14.9871 + 2.04024i 0.603849 + 0.0822038i
\(617\) −2.21444 + 15.4017i −0.0891498 + 0.620051i 0.895441 + 0.445179i \(0.146860\pi\)
−0.984591 + 0.174871i \(0.944049\pi\)
\(618\) 1.84114 3.59334i 0.0740615 0.144545i
\(619\) −28.2193 + 24.4521i −1.13423 + 0.982814i −0.999967 0.00813192i \(-0.997412\pi\)
−0.134261 + 0.990946i \(0.542866\pi\)
\(620\) −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
\(624\) 12.3547 + 2.25330i 0.494584 + 0.0902043i
\(625\) 4.32680 30.0935i 0.173072 1.20374i
\(626\) 12.5587 36.5816i 0.501947 1.46209i
\(627\) −0.644638 + 0.0926849i −0.0257443 + 0.00370148i
\(628\) 1.45614 16.0995i 0.0581064 0.642442i
\(629\) −9.70403 15.0998i −0.386925 0.602067i
\(630\) −11.4745 + 6.66311i −0.457156 + 0.265465i
\(631\) 32.5288 9.55133i 1.29495 0.380232i 0.439560 0.898213i \(-0.355134\pi\)
0.855392 + 0.517981i \(0.173316\pi\)
\(632\) −1.51829 + 3.39168i −0.0603945 + 0.134914i
\(633\) 4.32699 4.99362i 0.171983 0.198478i
\(634\) −10.9415 27.1337i −0.434541 1.07762i
\(635\) 9.23384 4.21695i 0.366434 0.167345i
\(636\) −19.1730 + 18.4653i −0.760258 + 0.732195i
\(637\) −3.05568 + 10.4067i −0.121070 + 0.412327i
\(638\) −2.30781 9.41021i −0.0913672 0.372554i
\(639\) −5.58372 + 12.2266i −0.220888 + 0.483678i
\(640\) −28.1400 + 16.9099i −1.11233 + 0.668421i
\(641\) −15.7811 10.1419i −0.623316 0.400581i 0.190513 0.981685i \(-0.438985\pi\)
−0.813830 + 0.581104i \(0.802621\pi\)
\(642\) 11.3395 + 10.7582i 0.447535 + 0.424593i
\(643\) 40.0856i 1.58082i −0.612577 0.790411i \(-0.709867\pi\)
0.612577 0.790411i \(-0.290133\pi\)
\(644\) 1.28960 30.9864i 0.0508173 1.22103i
\(645\) 31.2748i 1.23145i
\(646\) −1.84544 + 1.94516i −0.0726080 + 0.0765312i
\(647\) −13.8950 8.92974i −0.546267 0.351064i 0.238219 0.971212i \(-0.423437\pi\)
−0.784486 + 0.620147i \(0.787073\pi\)
\(648\) 0.423509 + 2.79654i 0.0166370 + 0.109858i
\(649\) −3.05616 + 6.69205i −0.119965 + 0.262686i
\(650\) 14.7495 3.61726i 0.578524 0.141880i
\(651\) 4.98358 16.9725i 0.195322 0.665206i
\(652\) 1.85625 + 1.92739i 0.0726964 + 0.0754826i
\(653\) 3.65881 1.67092i 0.143180 0.0653883i −0.342536 0.939505i \(-0.611286\pi\)
0.485717 + 0.874116i \(0.338559\pi\)
\(654\) 3.92136 1.58126i 0.153337 0.0618321i
\(655\) 4.10507 4.73750i 0.160398 0.185109i
\(656\) −4.65256 + 13.8905i −0.181652 + 0.542332i
\(657\) −2.75600 + 0.809234i −0.107522 + 0.0315712i
\(658\) −20.0641 34.5524i −0.782181 1.34699i
\(659\) −11.2693 17.5353i −0.438989 0.683080i 0.549308 0.835620i \(-0.314891\pi\)
−0.988297 + 0.152540i \(0.951255\pi\)
\(660\) 0.864618 9.55947i 0.0336552 0.372102i
\(661\) 3.37009 0.484546i 0.131081 0.0188466i −0.0764619 0.997073i \(-0.524362\pi\)
0.207543 + 0.978226i \(0.433453\pi\)
\(662\) −27.8458 9.55964i −1.08226 0.371546i
\(663\) −2.15132 + 14.9628i −0.0835505 + 0.581106i
\(664\) −6.27483 + 21.9785i −0.243511 + 0.852930i
\(665\) 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
\(670\) 6.42853 + 3.29382i 0.248356 + 0.127251i
\(671\) −1.72133 + 11.9721i −0.0664511 + 0.462178i
\(672\) −18.2576 + 1.09855i −0.704301 + 0.0423777i
\(673\) 6.50622 + 45.2517i 0.250796 + 1.74433i 0.593456 + 0.804867i \(0.297763\pi\)
−0.342659 + 0.939460i \(0.611328\pi\)
\(674\) −4.51627 0.858737i −0.173960 0.0330773i
\(675\) 1.84917 + 2.87737i 0.0711746 + 0.110750i
\(676\) 3.67151 + 5.10175i 0.141212 + 0.196221i
\(677\) 0.936652 + 3.18994i 0.0359984 + 0.122599i 0.975532 0.219857i \(-0.0705592\pi\)
−0.939534 + 0.342457i \(0.888741\pi\)
\(678\) 18.5850 + 13.1644i 0.713751 + 0.505576i
\(679\) −22.5851 + 26.0646i −0.866736 + 1.00027i
\(680\) −21.6133 33.0829i −0.828834 1.26867i
\(681\) 12.0469 + 26.3790i 0.461637 + 1.01084i
\(682\) 7.93510 + 10.0386i 0.303851 + 0.384396i
\(683\) −6.08118 + 20.7106i −0.232690 + 0.792470i 0.757511 + 0.652822i \(0.226415\pi\)
−0.990201 + 0.139647i \(0.955403\pi\)
\(684\) 0.742942 0.261301i 0.0284071 0.00999109i
\(685\) 33.9109 + 15.4866i 1.29567 + 0.591712i
\(686\) −0.730922 + 16.1956i −0.0279067 + 0.618350i
\(687\) 18.6142 + 11.9626i 0.710177 + 0.456403i
\(688\) 19.3706 38.5144i 0.738498 1.46835i
\(689\) 41.7868 1.59195
\(690\) −19.6807 + 0.0690037i −0.749232 + 0.00262693i
\(691\) 50.1334i 1.90716i 0.301134 + 0.953582i \(0.402635\pi\)
−0.301134 + 0.953582i \(0.597365\pi\)
\(692\) −1.53201 + 1.96827i −0.0582381 + 0.0748225i
\(693\) 2.89115 4.49871i 0.109826 0.170892i
\(694\) 25.5255 + 1.15199i 0.968934 + 0.0437289i
\(695\) 7.76079 16.9938i 0.294384 0.644610i
\(696\) 4.94705 + 10.6210i 0.187518 + 0.402590i
\(697\) −16.9187 4.96776i −0.640840 0.188167i
\(698\) 29.6311 + 37.4858i 1.12155 + 1.41886i
\(699\) 6.67619 3.04891i 0.252517 0.115320i
\(700\) −19.6086 + 10.2333i −0.741135 + 0.386783i
\(701\) −33.8457 29.3275i −1.27833 1.10768i −0.988598 0.150576i \(-0.951887\pi\)
−0.289736 0.957107i \(-0.593567\pi\)
\(702\) 2.56646 3.62322i 0.0968649 0.136750i
\(703\) 1.40850 0.413574i 0.0531227 0.0155982i
\(704\) 6.98559 11.2368i 0.263279 0.423503i
\(705\) −21.3304 + 13.7082i −0.803350 + 0.516282i
\(706\) −9.22923 1.75487i −0.347346 0.0660455i
\(707\) −62.2251 + 8.94661i −2.34021 + 0.336472i
\(708\) 2.05416 8.65601i 0.0772002 0.325313i
\(709\) 42.0839 + 6.05075i 1.58049 + 0.227241i 0.875943 0.482414i \(-0.160240\pi\)
0.704550 + 0.709655i \(0.251149\pi\)
\(710\) −25.1530 + 49.0908i −0.943973 + 1.84234i
\(711\) 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
\(716\) 19.1591 48.5592i 0.716008 1.81474i
\(717\) −1.05855 0.152197i −0.0395324 0.00568389i
\(718\) −5.83046 + 16.9832i −0.217591 + 0.633808i
\(719\) −1.55787 10.8352i −0.0580987 0.404085i −0.998031 0.0627241i \(-0.980021\pi\)
0.939932 0.341361i \(-0.110888\pi\)
\(720\) 1.21879 + 11.5430i 0.0454217 + 0.430181i
\(721\) 7.76575 4.99075i 0.289212 0.185865i
\(722\) 13.3830 + 23.0469i 0.498065 + 0.857715i
\(723\) 4.85793 + 16.5446i 0.180669 + 0.615301i
\(724\) −3.44730 1.96739i −0.128118 0.0731175i
\(725\) 10.7079 + 9.27846i 0.397682 + 0.344593i
\(726\) −4.37108 10.8398i −0.162226 0.402304i
\(727\) 9.36134 + 20.4985i 0.347193 + 0.760246i 0.999996 + 0.00271897i \(0.000865476\pi\)
−0.652803 + 0.757527i \(0.726407\pi\)
\(728\) 21.8401 + 18.6396i 0.809447 + 0.690831i
\(729\) 0.959493 + 0.281733i 0.0355368 + 0.0104345i
\(730\) −11.4481 + 2.80760i −0.423714 + 0.103914i
\(731\) 47.2035 + 21.5571i 1.74588 + 0.797318i
\(732\) −0.768973 14.6061i −0.0284221 0.539856i
\(733\) 4.30394 6.69705i 0.158969 0.247361i −0.752627 0.658447i \(-0.771214\pi\)
0.911597 + 0.411085i \(0.134850\pi\)
\(734\) 14.4106 + 13.6718i 0.531904 + 0.504637i
\(735\) −10.0244 −0.369754
\(736\) −24.2792 12.1046i −0.894942 0.446182i
\(737\) −2.91113 −0.107233
\(738\) 3.75727 + 3.56466i 0.138307 + 0.131217i
\(739\) −0.368407 + 0.573252i −0.0135521 + 0.0210874i −0.847963 0.530055i \(-0.822171\pi\)
0.834411 + 0.551142i \(0.185808\pi\)
\(740\) 1.13746 + 21.6052i 0.0418139 + 0.794224i
\(741\) −1.12459 0.513582i −0.0413128 0.0188669i
\(742\) −59.1080 + 14.4960i −2.16992 + 0.532164i
\(743\) 21.0402 + 6.17797i 0.771892 + 0.226648i 0.643882 0.765125i \(-0.277323\pi\)
0.128010 + 0.991773i \(0.459141\pi\)
\(744\) −11.7700 10.0452i −0.431508 0.368275i
\(745\) −21.2410 46.5113i −0.778210 1.70404i
\(746\) −14.8542 36.8369i −0.543852 1.34870i
\(747\) 6.10724 + 5.29196i 0.223452 + 0.193623i
\(748\) 13.8323 + 7.89413i 0.505757 + 0.288638i
\(749\) 10.0683 + 34.2896i 0.367889 + 1.25291i
\(750\) −3.25529 5.60593i −0.118867 0.204700i
\(751\) −31.1257 + 20.0033i −1.13579 + 0.729930i −0.966761 0.255681i \(-0.917700\pi\)
−0.169031 + 0.985611i \(0.554064\pi\)
\(752\) −34.7584 + 3.67006i −1.26751 + 0.133833i
\(753\) −0.535778 3.72642i −0.0195248 0.135798i
\(754\) 5.97228 17.3963i 0.217498 0.633537i
\(755\) 45.5459 + 6.54851i 1.65759 + 0.238325i
\(756\) −2.37339 + 6.01542i −0.0863193 + 0.218779i
\(757\) 26.7864 23.2105i 0.973567 0.843601i −0.0141427 0.999900i \(-0.504502\pi\)
0.987710 + 0.156299i \(0.0499565\pi\)
\(758\) 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 \(0.822035\pi\)
\(762\) 2.25598 4.40297i 0.0817255 0.159503i
\(763\) 9.56857 + 1.37575i 0.346405 + 0.0498056i
\(764\) 7.81429 32.9286i 0.282711 1.19131i
\(765\) −13.8293 + 1.98835i −0.499998 + 0.0718889i
\(766\) 3.03893 + 0.577831i 0.109801 + 0.0208779i
\(767\) −11.7487 + 7.55042i −0.424220 + 0.272630i
\(768\) −5.64841 + 14.9698i −0.203820 + 0.540177i
\(769\) −33.3018 + 9.77828i −1.20089 + 0.352614i −0.820194 0.572086i \(-0.806135\pi\)
−0.380698 + 0.924699i \(0.624316\pi\)
\(770\) 12.6848 17.9078i 0.457128 0.645354i
\(771\) −14.5951 12.6467i −0.525629 0.455460i
\(772\) 46.2536 24.1388i 1.66470 0.868775i
\(773\) 50.4990 23.0621i 1.81632 0.829487i 0.884548 0.466450i \(-0.154467\pi\)
0.931775 0.363037i \(-0.118260\pi\)