Properties

Label 552.2.bb.a.13.19
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 13.19
Character \(\chi\) \(=\) 552.13
Dual form 552.2.bb.a.85.19

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.464427 + 1.33578i) q^{2} +(-0.540641 + 0.841254i) q^{3} +(-1.56862 - 1.24074i) q^{4} +(0.798595 + 0.364706i) q^{5} +(-0.872641 - 1.11288i) q^{6} +(2.23854 + 0.657294i) q^{7} +(2.38587 - 1.51909i) q^{8} +(-0.415415 - 0.909632i) q^{9} +O(q^{10})\) \(q+(-0.464427 + 1.33578i) q^{2} +(-0.540641 + 0.841254i) q^{3} +(-1.56862 - 1.24074i) q^{4} +(0.798595 + 0.364706i) q^{5} +(-0.872641 - 1.11288i) q^{6} +(2.23854 + 0.657294i) q^{7} +(2.38587 - 1.51909i) q^{8} +(-0.415415 - 0.909632i) q^{9} +(-0.858056 + 0.897368i) q^{10} +(-0.502993 - 0.435846i) q^{11} +(1.89184 - 0.648807i) q^{12} +(0.537093 + 1.82917i) q^{13} +(-1.91764 + 2.68493i) q^{14} +(-0.738563 + 0.474646i) q^{15} +(0.921110 + 3.89250i) q^{16} +(0.515855 + 3.58785i) q^{17} +(1.40800 - 0.132446i) q^{18} +(7.17209 + 1.03119i) q^{19} +(-0.800182 - 1.56294i) q^{20} +(-1.76320 + 1.52782i) q^{21} +(0.815797 - 0.469469i) q^{22} +(2.85319 + 3.85478i) q^{23} +(-0.0119570 + 2.82840i) q^{24} +(-2.76956 - 3.19624i) q^{25} +(-2.69281 - 0.132078i) q^{26} +(0.989821 + 0.142315i) q^{27} +(-2.69587 - 3.80849i) q^{28} +(-7.91207 + 1.13758i) q^{29} +(-0.291014 - 1.20700i) q^{30} +(0.262872 - 0.168938i) q^{31} +(-5.62731 - 0.577381i) q^{32} +(0.638595 - 0.187509i) q^{33} +(-5.03215 - 0.977225i) q^{34} +(1.54797 + 1.34132i) q^{35} +(-0.476994 + 1.94229i) q^{36} +(5.02490 - 2.29479i) q^{37} +(-4.70835 + 9.10142i) q^{38} +(-1.82917 - 0.537093i) q^{39} +(2.45936 - 0.342998i) q^{40} +(-4.68380 + 10.2561i) q^{41} +(-1.22195 - 3.06480i) q^{42} +(-4.26279 + 6.63302i) q^{43} +(0.248230 + 1.30776i) q^{44} -0.877932i q^{45} +(-6.47423 + 2.02097i) q^{46} -1.07988 q^{47} +(-3.77257 - 1.32956i) q^{48} +(-1.30976 - 0.841729i) q^{49} +(5.55574 - 2.21510i) q^{50} +(-3.29718 - 1.50577i) q^{51} +(1.42704 - 3.53566i) q^{52} +(1.94531 - 6.62511i) q^{53} +(-0.649801 + 1.25609i) q^{54} +(-0.242732 - 0.531509i) q^{55} +(6.33935 - 1.83233i) q^{56} +(-4.74502 + 5.47604i) q^{57} +(2.15501 - 11.0971i) q^{58} +(1.87348 + 6.38048i) q^{59} +(1.74744 + 0.171831i) q^{60} +(-3.59725 - 5.59743i) q^{61} +(0.103579 + 0.429599i) q^{62} +(-0.332027 - 2.30930i) q^{63} +(3.38473 - 7.24870i) q^{64} +(-0.238190 + 1.65665i) q^{65} +(-0.0461107 + 0.940107i) q^{66} +(11.3947 - 9.87360i) q^{67} +(3.64242 - 6.26800i) q^{68} +(-4.78540 + 0.316205i) q^{69} +(-2.51063 + 1.44480i) q^{70} +(0.962374 + 1.11064i) q^{71} +(-2.37294 - 1.53921i) q^{72} +(-1.90058 + 13.2188i) q^{73} +(0.731643 + 7.77792i) q^{74} +(4.18619 - 0.601883i) q^{75} +(-9.97080 - 10.5163i) q^{76} +(-0.839490 - 1.30627i) q^{77} +(1.56695 - 2.19393i) q^{78} +(7.03350 - 2.06522i) q^{79} +(-0.684025 + 3.44446i) q^{80} +(-0.654861 + 0.755750i) q^{81} +(-11.5246 - 11.0197i) q^{82} +(2.45570 - 1.12148i) q^{83} +(4.66141 - 0.208885i) q^{84} +(-0.896551 + 3.05337i) q^{85} +(-6.88051 - 8.77470i) q^{86} +(3.32059 - 7.27108i) q^{87} +(-1.86216 - 0.275779i) q^{88} +(6.06892 + 3.90026i) q^{89} +(1.17272 + 0.407735i) q^{90} +4.44770i q^{91} +(0.307234 - 9.58674i) q^{92} +0.312477i q^{93} +(0.501525 - 1.44248i) q^{94} +(5.35151 + 3.43921i) q^{95} +(3.52808 - 4.42184i) q^{96} +(-2.94001 + 6.43773i) q^{97} +(1.73265 - 1.35862i) q^{98} +(-0.187509 + 0.638595i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.464427 + 1.33578i −0.328399 + 0.944539i
\(3\) −0.540641 + 0.841254i −0.312139 + 0.485698i
\(4\) −1.56862 1.24074i −0.784308 0.620372i
\(5\) 0.798595 + 0.364706i 0.357142 + 0.163102i 0.585903 0.810381i \(-0.300740\pi\)
−0.228760 + 0.973483i \(0.573467\pi\)
\(6\) −0.872641 1.11288i −0.356254 0.454330i
\(7\) 2.23854 + 0.657294i 0.846088 + 0.248434i 0.675914 0.736980i \(-0.263749\pi\)
0.170174 + 0.985414i \(0.445567\pi\)
\(8\) 2.38587 1.51909i 0.843532 0.537080i
\(9\) −0.415415 0.909632i −0.138472 0.303211i
\(10\) −0.858056 + 0.897368i −0.271341 + 0.283773i
\(11\) −0.502993 0.435846i −0.151658 0.131412i 0.575727 0.817642i \(-0.304719\pi\)
−0.727385 + 0.686230i \(0.759265\pi\)
\(12\) 1.89184 0.648807i 0.546126 0.187294i
\(13\) 0.537093 + 1.82917i 0.148963 + 0.507321i 0.999837 0.0180485i \(-0.00574533\pi\)
−0.850874 + 0.525369i \(0.823927\pi\)
\(14\) −1.91764 + 2.68493i −0.512510 + 0.717578i
\(15\) −0.738563 + 0.474646i −0.190696 + 0.122553i
\(16\) 0.921110 + 3.89250i 0.230277 + 0.973125i
\(17\) 0.515855 + 3.58785i 0.125113 + 0.870181i 0.951625 + 0.307262i \(0.0994127\pi\)
−0.826512 + 0.562919i \(0.809678\pi\)
\(18\) 1.40800 0.132446i 0.331868 0.0312177i
\(19\) 7.17209 + 1.03119i 1.64539 + 0.236571i 0.901828 0.432096i \(-0.142226\pi\)
0.743562 + 0.668667i \(0.233135\pi\)
\(20\) −0.800182 1.56294i −0.178926 0.349483i
\(21\) −1.76320 + 1.52782i −0.384761 + 0.333397i
\(22\) 0.815797 0.469469i 0.173929 0.100091i
\(23\) 2.85319 + 3.85478i 0.594931 + 0.803777i
\(24\) −0.0119570 + 2.82840i −0.00244072 + 0.577345i
\(25\) −2.76956 3.19624i −0.553912 0.639249i
\(26\) −2.69281 0.132078i −0.528104 0.0259026i
\(27\) 0.989821 + 0.142315i 0.190491 + 0.0273885i
\(28\) −2.69587 3.80849i −0.509472 0.719738i
\(29\) −7.91207 + 1.13758i −1.46923 + 0.211244i −0.829998 0.557766i \(-0.811658\pi\)
−0.639236 + 0.769010i \(0.720749\pi\)
\(30\) −0.291014 1.20700i −0.0531316 0.220366i
\(31\) 0.262872 0.168938i 0.0472133 0.0303421i −0.516821 0.856093i \(-0.672885\pi\)
0.564035 + 0.825751i \(0.309248\pi\)
\(32\) −5.62731 0.577381i −0.994777 0.102067i
\(33\) 0.638595 0.187509i 0.111165 0.0326410i
\(34\) −5.03215 0.977225i −0.863007 0.167593i
\(35\) 1.54797 + 1.34132i 0.261654 + 0.226725i
\(36\) −0.476994 + 1.94229i −0.0794990 + 0.323714i
\(37\) 5.02490 2.29479i 0.826088 0.377262i 0.0429253 0.999078i \(-0.486332\pi\)
0.783163 + 0.621816i \(0.213605\pi\)
\(38\) −4.70835 + 9.10142i −0.763796 + 1.47644i
\(39\) −1.82917 0.537093i −0.292902 0.0860037i
\(40\) 2.45936 0.342998i 0.388859 0.0542327i
\(41\) −4.68380 + 10.2561i −0.731487 + 1.60173i 0.0655839 + 0.997847i \(0.479109\pi\)
−0.797071 + 0.603886i \(0.793618\pi\)
\(42\) −1.22195 3.06480i −0.188552 0.472909i
\(43\) −4.26279 + 6.63302i −0.650069 + 1.01153i 0.347209 + 0.937788i \(0.387130\pi\)
−0.997278 + 0.0737389i \(0.976507\pi\)
\(44\) 0.248230 + 1.30776i 0.0374220 + 0.197152i
\(45\) 0.877932i 0.130874i
\(46\) −6.47423 + 2.02097i −0.954573 + 0.297976i
\(47\) −1.07988 −0.157517 −0.0787583 0.996894i \(-0.525096\pi\)
−0.0787583 + 0.996894i \(0.525096\pi\)
\(48\) −3.77257 1.32956i −0.544523 0.191905i
\(49\) −1.30976 0.841729i −0.187108 0.120247i
\(50\) 5.55574 2.21510i 0.785700 0.313263i
\(51\) −3.29718 1.50577i −0.461698 0.210850i
\(52\) 1.42704 3.53566i 0.197895 0.490308i
\(53\) 1.94531 6.62511i 0.267209 0.910029i −0.711137 0.703053i \(-0.751820\pi\)
0.978346 0.206976i \(-0.0663622\pi\)
\(54\) −0.649801 + 1.25609i −0.0884267 + 0.170932i
\(55\) −0.242732 0.531509i −0.0327300 0.0716686i
\(56\) 6.33935 1.83233i 0.847131 0.244855i
\(57\) −4.74502 + 5.47604i −0.628493 + 0.725319i
\(58\) 2.15501 11.0971i 0.282967 1.45712i
\(59\) 1.87348 + 6.38048i 0.243906 + 0.830668i 0.986895 + 0.161364i \(0.0515893\pi\)
−0.742989 + 0.669304i \(0.766593\pi\)
\(60\) 1.74744 + 0.171831i 0.225593 + 0.0221833i
\(61\) −3.59725 5.59743i −0.460581 0.716678i 0.530827 0.847480i \(-0.321881\pi\)
−0.991409 + 0.130802i \(0.958245\pi\)
\(62\) 0.103579 + 0.429599i 0.0131545 + 0.0545591i
\(63\) −0.332027 2.30930i −0.0418314 0.290944i
\(64\) 3.38473 7.24870i 0.423091 0.906087i
\(65\) −0.238190 + 1.65665i −0.0295438 + 0.205482i
\(66\) −0.0461107 + 0.940107i −0.00567583 + 0.115719i
\(67\) 11.3947 9.87360i 1.39209 1.20625i 0.440933 0.897540i \(-0.354648\pi\)
0.951156 0.308712i \(-0.0998979\pi\)
\(68\) 3.64242 6.26800i 0.441709 0.760107i
\(69\) −4.78540 + 0.316205i −0.576094 + 0.0380666i
\(70\) −2.51063 + 1.44480i −0.300077 + 0.172686i
\(71\) 0.962374 + 1.11064i 0.114213 + 0.131809i 0.809977 0.586462i \(-0.199480\pi\)
−0.695764 + 0.718270i \(0.744934\pi\)
\(72\) −2.37294 1.53921i −0.279653 0.181397i
\(73\) −1.90058 + 13.2188i −0.222446 + 1.54715i 0.506298 + 0.862359i \(0.331014\pi\)
−0.728744 + 0.684787i \(0.759895\pi\)
\(74\) 0.731643 + 7.77792i 0.0850518 + 0.904165i
\(75\) 4.18619 0.601883i 0.483379 0.0694995i
\(76\) −9.97080 10.5163i −1.14373 1.20630i
\(77\) −0.839490 1.30627i −0.0956688 0.148864i
\(78\) 1.56695 2.19393i 0.177423 0.248414i
\(79\) 7.03350 2.06522i 0.791330 0.232356i 0.139002 0.990292i \(-0.455611\pi\)
0.652328 + 0.757936i \(0.273792\pi\)
\(80\) −0.684025 + 3.44446i −0.0764763 + 0.385103i
\(81\) −0.654861 + 0.755750i −0.0727623 + 0.0839722i
\(82\) −11.5246 11.0197i −1.27268 1.21693i
\(83\) 2.45570 1.12148i 0.269548 0.123098i −0.276056 0.961142i \(-0.589028\pi\)
0.545604 + 0.838043i \(0.316300\pi\)
\(84\) 4.66141 0.208885i 0.508601 0.0227912i
\(85\) −0.896551 + 3.05337i −0.0972446 + 0.331185i
\(86\) −6.88051 8.77470i −0.741944 0.946200i
\(87\) 3.32059 7.27108i 0.356005 0.779542i
\(88\) −1.86216 0.275779i −0.198507 0.0293981i
\(89\) 6.06892 + 3.90026i 0.643304 + 0.413426i 0.821214 0.570621i \(-0.193297\pi\)
−0.177910 + 0.984047i \(0.556934\pi\)
\(90\) 1.17272 + 0.407735i 0.123616 + 0.0429790i
\(91\) 4.44770i 0.466246i
\(92\) 0.307234 9.58674i 0.0320314 0.999487i
\(93\) 0.312477i 0.0324024i
\(94\) 0.501525 1.44248i 0.0517283 0.148780i
\(95\) 5.35151 + 3.43921i 0.549053 + 0.352855i
\(96\) 3.52808 4.42184i 0.360083 0.451302i
\(97\) −2.94001 + 6.43773i −0.298513 + 0.653653i −0.998147 0.0608488i \(-0.980619\pi\)
0.699634 + 0.714502i \(0.253347\pi\)
\(98\) 1.73265 1.35862i 0.175024 0.137242i
\(99\) −0.187509 + 0.638595i −0.0188453 + 0.0641812i
\(100\) 0.378657 + 8.44999i 0.0378657 + 0.844999i
\(101\) 7.46545 3.40936i 0.742840 0.339244i −0.00778702 0.999970i \(-0.502479\pi\)
0.750627 + 0.660726i \(0.229751\pi\)
\(102\) 3.54268 3.70499i 0.350778 0.366849i
\(103\) 7.77399 8.97167i 0.765994 0.884005i −0.230021 0.973186i \(-0.573879\pi\)
0.996015 + 0.0891810i \(0.0284249\pi\)
\(104\) 4.06011 + 3.54827i 0.398127 + 0.347936i
\(105\) −1.96528 + 0.577059i −0.191792 + 0.0563152i
\(106\) 7.94624 + 5.67538i 0.771807 + 0.551242i
\(107\) 1.28815 + 2.00440i 0.124530 + 0.193772i 0.897921 0.440157i \(-0.145077\pi\)
−0.773391 + 0.633930i \(0.781441\pi\)
\(108\) −1.37607 1.45135i −0.132413 0.139656i
\(109\) −0.950732 + 0.136695i −0.0910636 + 0.0130930i −0.187696 0.982227i \(-0.560102\pi\)
0.0966324 + 0.995320i \(0.469193\pi\)
\(110\) 0.822710 0.0773895i 0.0784423 0.00737880i
\(111\) −0.786162 + 5.46787i −0.0746192 + 0.518988i
\(112\) −0.496578 + 9.31895i −0.0469222 + 0.880558i
\(113\) −0.474768 0.547912i −0.0446625 0.0515432i 0.732979 0.680251i \(-0.238129\pi\)
−0.777641 + 0.628708i \(0.783584\pi\)
\(114\) −5.11107 8.88151i −0.478696 0.831830i
\(115\) 0.872681 + 4.11898i 0.0813780 + 0.384097i
\(116\) 13.8224 + 8.03242i 1.28338 + 0.745791i
\(117\) 1.44076 1.24842i 0.133198 0.115417i
\(118\) −9.39301 0.460711i −0.864697 0.0424119i
\(119\) −1.20351 + 8.37061i −0.110326 + 0.767332i
\(120\) −1.04108 + 2.25439i −0.0950375 + 0.205796i
\(121\) −1.50242 10.4496i −0.136584 0.949962i
\(122\) 9.14760 2.20554i 0.828185 0.199680i
\(123\) −6.09572 9.48513i −0.549633 0.855245i
\(124\) −0.621954 0.0611587i −0.0558531 0.00549222i
\(125\) −2.28278 7.77443i −0.204178 0.695366i
\(126\) 3.23891 + 0.628984i 0.288545 + 0.0560344i
\(127\) 8.84513 10.2078i 0.784878 0.905798i −0.212573 0.977145i \(-0.568184\pi\)
0.997452 + 0.0713474i \(0.0227299\pi\)
\(128\) 8.11071 + 7.88774i 0.716892 + 0.697184i
\(129\) −3.27542 7.17217i −0.288385 0.631474i
\(130\) −2.10230 1.08756i −0.184383 0.0953854i
\(131\) −2.44317 + 8.32066i −0.213461 + 0.726980i 0.781246 + 0.624223i \(0.214584\pi\)
−0.994707 + 0.102757i \(0.967234\pi\)
\(132\) −1.23436 0.498204i −0.107437 0.0433631i
\(133\) 15.3772 + 7.02253i 1.33337 + 0.608931i
\(134\) 7.89693 + 19.8064i 0.682191 + 1.71101i
\(135\) 0.738563 + 0.474646i 0.0635654 + 0.0408510i
\(136\) 6.68103 + 7.77650i 0.572893 + 0.666830i
\(137\) 0.315194 0.0269289 0.0134644 0.999909i \(-0.495714\pi\)
0.0134644 + 0.999909i \(0.495714\pi\)
\(138\) 1.80009 6.53909i 0.153233 0.556644i
\(139\) 4.50500i 0.382109i −0.981579 0.191055i \(-0.938809\pi\)
0.981579 0.191055i \(-0.0611908\pi\)
\(140\) −0.763929 4.02465i −0.0645638 0.340145i
\(141\) 0.583827 0.908452i 0.0491671 0.0765054i
\(142\) −1.93052 + 0.769710i −0.162006 + 0.0645926i
\(143\) 0.527083 1.15415i 0.0440769 0.0965149i
\(144\) 3.15810 2.45487i 0.263175 0.204573i
\(145\) −6.73342 1.97711i −0.559180 0.164190i
\(146\) −16.7747 8.67793i −1.38829 0.718190i
\(147\) 1.41621 0.646764i 0.116807 0.0533442i
\(148\) −10.7294 2.63496i −0.881950 0.216593i
\(149\) −8.03928 6.96608i −0.658604 0.570683i 0.260124 0.965575i \(-0.416237\pi\)
−0.918728 + 0.394892i \(0.870782\pi\)
\(150\) −1.14019 + 5.87136i −0.0930965 + 0.479394i
\(151\) −13.7869 + 4.04820i −1.12196 + 0.329438i −0.789544 0.613694i \(-0.789683\pi\)
−0.332419 + 0.943132i \(0.607865\pi\)
\(152\) 18.6781 8.43477i 1.51500 0.684150i
\(153\) 3.04933 1.95968i 0.246524 0.158431i
\(154\) 2.13477 0.514706i 0.172025 0.0414762i
\(155\) 0.271541 0.0390417i 0.0218107 0.00313591i
\(156\) 2.20287 + 3.11203i 0.176371 + 0.249161i
\(157\) 13.7536 + 1.97747i 1.09766 + 0.157819i 0.667263 0.744822i \(-0.267466\pi\)
0.430393 + 0.902641i \(0.358375\pi\)
\(158\) −0.507863 + 10.3544i −0.0404034 + 0.823748i
\(159\) 4.52169 + 5.21830i 0.358593 + 0.413838i
\(160\) −4.28337 2.51341i −0.338630 0.198702i
\(161\) 3.85325 + 10.5045i 0.303679 + 0.827867i
\(162\) −0.705380 1.22574i −0.0554199 0.0963032i
\(163\) −5.72439 + 4.96021i −0.448369 + 0.388514i −0.849570 0.527476i \(-0.823138\pi\)
0.401201 + 0.915990i \(0.368593\pi\)
\(164\) 20.0723 10.2765i 1.56738 0.802458i
\(165\) 0.578364 + 0.0831563i 0.0450256 + 0.00647371i
\(166\) 0.357558 + 3.80112i 0.0277519 + 0.295024i
\(167\) −2.65157 18.4421i −0.205185 1.42709i −0.788594 0.614914i \(-0.789191\pi\)
0.583409 0.812178i \(-0.301718\pi\)
\(168\) −1.88586 + 6.32363i −0.145497 + 0.487878i
\(169\) 7.87890 5.06346i 0.606069 0.389497i
\(170\) −3.66225 2.61566i −0.280882 0.200612i
\(171\) −2.04139 6.95233i −0.156109 0.531658i
\(172\) 14.9166 5.11564i 1.13738 0.390064i
\(173\) −4.89436 4.24098i −0.372111 0.322436i 0.448650 0.893707i \(-0.351905\pi\)
−0.820761 + 0.571271i \(0.806450\pi\)
\(174\) 8.17039 + 7.81246i 0.619396 + 0.592261i
\(175\) −4.09890 8.97533i −0.309847 0.678471i
\(176\) 1.23322 2.35936i 0.0929573 0.177844i
\(177\) −6.38048 1.87348i −0.479586 0.140819i
\(178\) −8.02845 + 6.29535i −0.601758 + 0.471857i
\(179\) 12.1040 + 5.52770i 0.904693 + 0.413160i 0.812755 0.582605i \(-0.197967\pi\)
0.0919381 + 0.995765i \(0.470694\pi\)
\(180\) −1.08929 + 1.37714i −0.0811908 + 0.102646i
\(181\) −5.24150 + 8.15593i −0.389597 + 0.606225i −0.979547 0.201215i \(-0.935511\pi\)
0.589950 + 0.807440i \(0.299147\pi\)
\(182\) −5.94115 2.06563i −0.440387 0.153115i
\(183\) 6.65368 0.491854
\(184\) 12.6631 + 4.86274i 0.933535 + 0.358486i
\(185\) 4.84978 0.356563
\(186\) −0.417400 0.145123i −0.0306053 0.0106409i
\(187\) 1.30428 2.02950i 0.0953782 0.148411i
\(188\) 1.69391 + 1.33985i 0.123541 + 0.0977188i
\(189\) 2.12221 + 0.969181i 0.154368 + 0.0704976i
\(190\) −7.07941 + 5.55118i −0.513594 + 0.402725i
\(191\) −20.4317 5.99928i −1.47838 0.434092i −0.559569 0.828784i \(-0.689033\pi\)
−0.918814 + 0.394691i \(0.870852\pi\)
\(192\) 4.26807 + 6.76636i 0.308021 + 0.488320i
\(193\) −8.45357 18.5107i −0.608501 1.33243i −0.923594 0.383371i \(-0.874763\pi\)
0.315093 0.949061i \(-0.397964\pi\)
\(194\) −7.23397 6.91707i −0.519369 0.496617i
\(195\) −1.26489 1.09603i −0.0905803 0.0784883i
\(196\) 1.01013 + 2.94542i 0.0721524 + 0.210387i
\(197\) −7.06945 24.0763i −0.503677 1.71537i −0.681962 0.731388i \(-0.738873\pi\)
0.178284 0.983979i \(-0.442945\pi\)
\(198\) −0.765939 0.547051i −0.0544329 0.0388772i
\(199\) 19.5169 12.5428i 1.38352 0.889133i 0.384101 0.923291i \(-0.374511\pi\)
0.999416 + 0.0341581i \(0.0108750\pi\)
\(200\) −11.4632 3.41860i −0.810570 0.241731i
\(201\) 2.14574 + 14.9239i 0.151349 + 1.05265i
\(202\) 1.08700 + 11.5556i 0.0764808 + 0.813049i
\(203\) −18.4592 2.65403i −1.29558 0.186277i
\(204\) 3.30373 + 6.45294i 0.231308 + 0.451796i
\(205\) −7.48092 + 6.48225i −0.522490 + 0.452740i
\(206\) 8.37372 + 14.5510i 0.583425 + 1.01382i
\(207\) 2.32117 4.19668i 0.161333 0.291690i
\(208\) −6.62533 + 3.77550i −0.459384 + 0.261784i
\(209\) −3.15807 3.64461i −0.218448 0.252103i
\(210\) 0.141906 2.89319i 0.00979245 0.199649i
\(211\) 3.44198 + 0.494881i 0.236955 + 0.0340690i 0.259769 0.965671i \(-0.416353\pi\)
−0.0228140 + 0.999740i \(0.507263\pi\)
\(212\) −11.2715 + 7.97862i −0.774130 + 0.547974i
\(213\) −1.45463 + 0.209144i −0.0996695 + 0.0143303i
\(214\) −3.27568 + 0.789786i −0.223921 + 0.0539887i
\(215\) −5.82334 + 3.74244i −0.397149 + 0.255232i
\(216\) 2.57777 1.16408i 0.175395 0.0792059i
\(217\) 0.699492 0.205389i 0.0474846 0.0139427i
\(218\) 0.258951 1.33345i 0.0175384 0.0903129i
\(219\) −10.0928 8.74550i −0.682011 0.590966i
\(220\) −0.278713 + 1.13490i −0.0187908 + 0.0765150i
\(221\) −6.28573 + 2.87060i −0.422824 + 0.193097i
\(222\) −6.93876 3.58957i −0.465699 0.240916i
\(223\) −4.84012 1.42119i −0.324119 0.0951698i 0.115626 0.993293i \(-0.463113\pi\)
−0.439744 + 0.898123i \(0.644931\pi\)
\(224\) −12.2174 4.99129i −0.816312 0.333494i
\(225\) −1.75689 + 3.84705i −0.117126 + 0.256470i
\(226\) 0.952385 0.379721i 0.0633517 0.0252587i
\(227\) −5.55146 + 8.63825i −0.368464 + 0.573341i −0.975135 0.221612i \(-0.928868\pi\)
0.606671 + 0.794953i \(0.292504\pi\)
\(228\) 14.2375 2.70245i 0.942899 0.178974i
\(229\) 20.2737i 1.33973i 0.742484 + 0.669863i \(0.233647\pi\)
−0.742484 + 0.669863i \(0.766353\pi\)
\(230\) −5.90735 0.747255i −0.389519 0.0492725i
\(231\) 1.55277 0.102165
\(232\) −17.1491 + 14.7333i −1.12589 + 0.967287i
\(233\) −6.16918 3.96469i −0.404157 0.259736i 0.322733 0.946490i \(-0.395398\pi\)
−0.726890 + 0.686754i \(0.759035\pi\)
\(234\) 0.998492 + 2.50433i 0.0652735 + 0.163713i
\(235\) −0.862386 0.393838i −0.0562558 0.0256912i
\(236\) 4.97777 12.3330i 0.324025 0.802812i
\(237\) −2.06522 + 7.03350i −0.134151 + 0.456875i
\(238\) −10.6223 5.49516i −0.688544 0.356198i
\(239\) −3.70057 8.10313i −0.239370 0.524148i 0.751376 0.659874i \(-0.229390\pi\)
−0.990746 + 0.135727i \(0.956663\pi\)
\(240\) −2.52786 2.43766i −0.163172 0.157350i
\(241\) −9.39161 + 10.8385i −0.604967 + 0.698169i −0.972780 0.231731i \(-0.925561\pi\)
0.367813 + 0.929900i \(0.380107\pi\)
\(242\) 14.6561 + 2.84616i 0.942130 + 0.182958i
\(243\) −0.281733 0.959493i −0.0180732 0.0615515i
\(244\) −1.30228 + 13.2435i −0.0833696 + 0.847828i
\(245\) −0.738981 1.14988i −0.0472117 0.0734629i
\(246\) 15.5011 3.73740i 0.988311 0.238288i
\(247\) 1.96585 + 13.6728i 0.125084 + 0.869981i
\(248\) 0.370547 0.802390i 0.0235297 0.0509518i
\(249\) −0.384202 + 2.67218i −0.0243478 + 0.169343i
\(250\) 11.4451 + 0.561363i 0.723852 + 0.0355037i
\(251\) 5.02321 4.35264i 0.317062 0.274736i −0.481760 0.876303i \(-0.660002\pi\)
0.798822 + 0.601567i \(0.205457\pi\)
\(252\) −2.34442 + 4.03436i −0.147685 + 0.254141i
\(253\) 0.244955 3.18248i 0.0154002 0.200081i
\(254\) 9.52749 + 16.5559i 0.597808 + 1.03881i
\(255\) −2.08395 2.40500i −0.130502 0.150607i
\(256\) −14.3031 + 7.17084i −0.893945 + 0.448178i
\(257\) 4.12070 28.6601i 0.257042 1.78777i −0.296589 0.955005i \(-0.595849\pi\)
0.553631 0.832762i \(-0.313242\pi\)
\(258\) 11.1016 1.04429i 0.691157 0.0650148i
\(259\) 12.7568 1.83415i 0.792668 0.113968i
\(260\) 2.42910 2.30311i 0.150647 0.142833i
\(261\) 4.32157 + 6.72450i 0.267499 + 0.416236i
\(262\) −9.97990 7.12787i −0.616560 0.440361i
\(263\) 16.5426 4.85735i 1.02006 0.299517i 0.271398 0.962467i \(-0.412514\pi\)
0.748663 + 0.662950i \(0.230696\pi\)
\(264\) 1.23876 1.41745i 0.0762405 0.0872383i
\(265\) 3.96973 4.58131i 0.243859 0.281428i
\(266\) −16.5221 + 17.2791i −1.01304 + 1.05945i
\(267\) −6.56221 + 2.99686i −0.401601 + 0.183405i
\(268\) −30.1246 + 1.34993i −1.84015 + 0.0824600i
\(269\) 4.22166 14.3777i 0.257399 0.876621i −0.724829 0.688929i \(-0.758081\pi\)
0.982228 0.187692i \(-0.0601007\pi\)
\(270\) −0.977031 + 0.766120i −0.0594602 + 0.0466246i
\(271\) 4.45409 9.75309i 0.270567 0.592458i −0.724762 0.688999i \(-0.758050\pi\)
0.995329 + 0.0965406i \(0.0307778\pi\)
\(272\) −13.4905 + 5.31277i −0.817984 + 0.322134i
\(273\) −3.74164 2.40461i −0.226455 0.145533i
\(274\) −0.146385 + 0.421030i −0.00884342 + 0.0254354i
\(275\) 2.81479i 0.169738i
\(276\) 7.89878 + 5.44145i 0.475450 + 0.327537i
\(277\) 6.61011i 0.397163i 0.980084 + 0.198582i \(0.0636335\pi\)
−0.980084 + 0.198582i \(0.936367\pi\)
\(278\) 6.01769 + 2.09224i 0.360917 + 0.125484i
\(279\) −0.262872 0.168938i −0.0157378 0.0101140i
\(280\) 5.73083 + 0.848712i 0.342483 + 0.0507202i
\(281\) 1.77236 3.88094i 0.105730 0.231517i −0.849371 0.527796i \(-0.823018\pi\)
0.955101 + 0.296279i \(0.0957458\pi\)
\(282\) 0.942347 + 1.20177i 0.0561159 + 0.0715645i
\(283\) 3.70161 12.6065i 0.220038 0.749380i −0.773290 0.634053i \(-0.781390\pi\)
0.993328 0.115327i \(-0.0367917\pi\)
\(284\) −0.131577 2.93623i −0.00780765 0.174233i
\(285\) −5.78649 + 2.64260i −0.342762 + 0.156534i
\(286\) 1.29690 + 1.24008i 0.0766873 + 0.0733277i
\(287\) −17.2261 + 19.8800i −1.01683 + 1.17348i
\(288\) 1.81247 + 5.35864i 0.106801 + 0.315761i
\(289\) 3.70483 1.08784i 0.217931 0.0639903i
\(290\) 5.76816 8.07614i 0.338718 0.474248i
\(291\) −3.82627 5.95380i −0.224300 0.349018i
\(292\) 19.3824 18.3771i 1.13427 1.07544i
\(293\) −23.8605 + 3.43062i −1.39395 + 0.200419i −0.798025 0.602624i \(-0.794122\pi\)
−0.595921 + 0.803043i \(0.703213\pi\)
\(294\) 0.206206 + 2.19213i 0.0120262 + 0.127847i
\(295\) −0.830850 + 5.77869i −0.0483739 + 0.336448i
\(296\) 8.50274 13.1084i 0.494212 0.761908i
\(297\) −0.435846 0.502993i −0.0252903 0.0291866i
\(298\) 13.0388 7.50348i 0.755318 0.434665i
\(299\) −5.51862 + 7.28935i −0.319150 + 0.421554i
\(300\) −7.31330 4.24986i −0.422234 0.245366i
\(301\) −13.9023 + 12.0464i −0.801313 + 0.694342i
\(302\) 0.995503 20.2964i 0.0572848 1.16792i
\(303\) −1.16799 + 8.12358i −0.0670995 + 0.466687i
\(304\) 2.59237 + 28.8672i 0.148683 + 1.65565i
\(305\) −0.831329 5.78202i −0.0476018 0.331078i
\(306\) 1.20152 + 4.98336i 0.0686862 + 0.284880i
\(307\) −1.39345 2.16826i −0.0795286 0.123749i 0.799211 0.601051i \(-0.205251\pi\)
−0.878739 + 0.477302i \(0.841615\pi\)
\(308\) −0.303912 + 3.09063i −0.0173170 + 0.176105i
\(309\) 3.34451 + 11.3904i 0.190262 + 0.647974i
\(310\) −0.0739598 + 0.380851i −0.00420064 + 0.0216309i
\(311\) −3.09626 + 3.57327i −0.175573 + 0.202622i −0.836715 0.547639i \(-0.815527\pi\)
0.661142 + 0.750261i \(0.270072\pi\)
\(312\) −5.18005 + 1.49724i −0.293263 + 0.0847647i
\(313\) 3.75403 + 8.22018i 0.212190 + 0.464632i 0.985561 0.169322i \(-0.0541579\pi\)
−0.773370 + 0.633954i \(0.781431\pi\)
\(314\) −9.02900 + 17.4534i −0.509536 + 0.984952i
\(315\) 0.577059 1.96528i 0.0325136 0.110731i
\(316\) −13.5953 5.48723i −0.764794 0.308681i
\(317\) 4.95748 + 2.26400i 0.278440 + 0.127159i 0.549741 0.835335i \(-0.314727\pi\)
−0.271301 + 0.962495i \(0.587454\pi\)
\(318\) −9.07050 + 3.61646i −0.508648 + 0.202801i
\(319\) 4.47553 + 2.87625i 0.250581 + 0.161039i
\(320\) 5.34667 4.55434i 0.298888 0.254595i
\(321\) −2.38263 −0.132985
\(322\) −15.8212 + 0.268546i −0.881680 + 0.0149655i
\(323\) 26.2643i 1.46139i
\(324\) 1.96492 0.372966i 0.109162 0.0207203i
\(325\) 4.35896 6.78268i 0.241792 0.376235i
\(326\) −3.96719 9.95018i −0.219722 0.551090i
\(327\) 0.399010 0.873709i 0.0220653 0.0483162i
\(328\) 4.40501 + 31.5848i 0.243226 + 1.74398i
\(329\) −2.41735 0.709798i −0.133273 0.0391324i
\(330\) −0.379686 + 0.733948i −0.0209010 + 0.0404025i
\(331\) −25.0898 + 11.4581i −1.37906 + 0.629796i −0.960471 0.278380i \(-0.910203\pi\)
−0.418589 + 0.908176i \(0.637475\pi\)
\(332\) −5.24351 1.28772i −0.287775 0.0706729i
\(333\) −4.17484 3.61752i −0.228780 0.198239i
\(334\) 25.8660 + 5.02309i 1.41533 + 0.274851i
\(335\) 12.7007 3.72927i 0.693916 0.203752i
\(336\) −7.57113 5.45595i −0.413039 0.297647i
\(337\) −7.88030 + 5.06436i −0.429267 + 0.275873i −0.737382 0.675476i \(-0.763938\pi\)
0.308115 + 0.951349i \(0.400302\pi\)
\(338\) 3.10450 + 12.8761i 0.168862 + 0.700366i
\(339\) 0.717612 0.103177i 0.0389753 0.00560381i
\(340\) 5.19480 3.67718i 0.281727 0.199423i
\(341\) −0.205854 0.0295973i −0.0111476 0.00160278i
\(342\) 10.2349 + 0.502003i 0.553438 + 0.0271452i
\(343\) −13.0734 15.0875i −0.705897 0.814649i
\(344\) −0.0942776 + 22.3011i −0.00508311 + 1.20239i
\(345\) −3.93691 1.49274i −0.211956 0.0803666i
\(346\) 7.93809 4.56816i 0.426754 0.245586i
\(347\) −22.7208 + 19.6877i −1.21972 + 1.05689i −0.223094 + 0.974797i \(0.571616\pi\)
−0.996625 + 0.0820947i \(0.973839\pi\)
\(348\) −14.2303 + 7.28553i −0.762823 + 0.390545i
\(349\) 18.0808 + 2.59962i 0.967841 + 0.139155i 0.608068 0.793885i \(-0.291945\pi\)
0.359774 + 0.933040i \(0.382854\pi\)
\(350\) 13.8927 1.30684i 0.742596 0.0698535i
\(351\) 0.271308 + 1.88699i 0.0144814 + 0.100720i
\(352\) 2.57885 + 2.74306i 0.137453 + 0.146206i
\(353\) 12.5909 8.09165i 0.670144 0.430675i −0.160834 0.986982i \(-0.551418\pi\)
0.830977 + 0.556306i \(0.187782\pi\)
\(354\) 5.46582 7.65282i 0.290505 0.406743i
\(355\) 0.363490 + 1.23793i 0.0192921 + 0.0657027i
\(356\) −4.68058 13.6480i −0.248070 0.723341i
\(357\) −6.39113 5.53795i −0.338255 0.293099i
\(358\) −13.0052 + 13.6010i −0.687346 + 0.718837i
\(359\) −7.29491 15.9736i −0.385011 0.843056i −0.998573 0.0534092i \(-0.982991\pi\)
0.613562 0.789646i \(-0.289736\pi\)
\(360\) −1.33366 2.09463i −0.0702899 0.110397i
\(361\) 32.1451 + 9.43865i 1.69185 + 0.496771i
\(362\) −8.46023 10.7893i −0.444660 0.567074i
\(363\) 9.60302 + 4.38555i 0.504028 + 0.230182i
\(364\) 5.51845 6.97673i 0.289246 0.365680i
\(365\) −6.33877 + 9.86333i −0.331787 + 0.516270i
\(366\) −3.09015 + 8.88786i −0.161525 + 0.464576i
\(367\) −15.4518 −0.806575 −0.403288 0.915073i \(-0.632133\pi\)
−0.403288 + 0.915073i \(0.632133\pi\)
\(368\) −12.3766 + 14.6567i −0.645176 + 0.764034i
\(369\) 11.2750 0.586953
\(370\) −2.25237 + 6.47824i −0.117095 + 0.336788i
\(371\) 8.70930 13.5519i 0.452164 0.703581i
\(372\) 0.387704 0.490156i 0.0201015 0.0254134i
\(373\) −30.6188 13.9831i −1.58538 0.724020i −0.588931 0.808184i \(-0.700451\pi\)
−0.996452 + 0.0841635i \(0.973178\pi\)
\(374\) 2.10522 + 2.68478i 0.108858 + 0.138827i
\(375\) 7.77443 + 2.28278i 0.401470 + 0.117882i
\(376\) −2.57645 + 1.64043i −0.132870 + 0.0845989i
\(377\) −6.33035 13.8615i −0.326030 0.713906i
\(378\) −2.28022 + 2.38469i −0.117282 + 0.122655i
\(379\) −7.44903 6.45462i −0.382631 0.331552i 0.442215 0.896909i \(-0.354193\pi\)
−0.824846 + 0.565357i \(0.808738\pi\)
\(380\) −4.12729 12.0346i −0.211725 0.617364i
\(381\) 3.80533 + 12.9598i 0.194953 + 0.663949i
\(382\) 17.5027 24.5060i 0.895517 1.25383i
\(383\) −14.4963 + 9.31621i −0.740727 + 0.476036i −0.855791 0.517322i \(-0.826929\pi\)
0.115064 + 0.993358i \(0.463293\pi\)
\(384\) −11.0206 + 2.55873i −0.562391 + 0.130574i
\(385\) −0.194007 1.34935i −0.00988752 0.0687692i
\(386\) 28.6523 2.69523i 1.45837 0.137183i
\(387\) 7.80444 + 1.12211i 0.396722 + 0.0570400i
\(388\) 12.5993 6.45053i 0.639634 0.327476i
\(389\) 22.5564 19.5452i 1.14365 0.990981i 0.143654 0.989628i \(-0.454115\pi\)
0.999999 0.00135346i \(-0.000430819\pi\)
\(390\) 2.05150 1.18058i 0.103882 0.0597812i
\(391\) −12.3585 + 12.2253i −0.624998 + 0.618261i
\(392\) −4.40357 0.0186160i −0.222414 0.000940252i
\(393\) −5.67891 6.55381i −0.286463 0.330596i
\(394\) 35.4439 + 1.73846i 1.78564 + 0.0875826i
\(395\) 6.37011 + 0.915884i 0.320515 + 0.0460831i
\(396\) 1.08646 0.769061i 0.0545968 0.0386467i
\(397\) 4.25668 0.612018i 0.213637 0.0307163i −0.0346654 0.999399i \(-0.511037\pi\)
0.248302 + 0.968683i \(0.420127\pi\)
\(398\) 7.69019 + 31.8955i 0.385474 + 1.59878i
\(399\) −14.2213 + 9.13945i −0.711954 + 0.457545i
\(400\) 9.89031 13.7246i 0.494515 0.686230i
\(401\) 33.5212 9.84271i 1.67397 0.491521i 0.699235 0.714892i \(-0.253524\pi\)
0.974734 + 0.223371i \(0.0717060\pi\)
\(402\) −20.9316 4.06484i −1.04397 0.202736i
\(403\) 0.450203 + 0.390103i 0.0224262 + 0.0194324i
\(404\) −15.9406 3.91474i −0.793073 0.194766i
\(405\) −0.798595 + 0.364706i −0.0396825 + 0.0181224i
\(406\) 12.1181 23.4248i 0.601413 1.16255i
\(407\) −3.52767 1.03582i −0.174860 0.0513435i
\(408\) −10.1540 + 1.41614i −0.502700 + 0.0701096i
\(409\) −2.94211 + 6.44232i −0.145478 + 0.318552i −0.968318 0.249721i \(-0.919661\pi\)
0.822840 + 0.568273i \(0.192388\pi\)
\(410\) −5.18452 13.0034i −0.256045 0.642192i
\(411\) −0.170407 + 0.265158i −0.00840556 + 0.0130793i
\(412\) −23.3260 + 4.42756i −1.14919 + 0.218130i
\(413\) 15.5144i 0.763412i
\(414\) 4.52783 + 5.04963i 0.222531 + 0.248176i
\(415\) 2.37012 0.116345
\(416\) −1.96626 10.6034i −0.0964039 0.519876i
\(417\) 3.78985 + 2.43559i 0.185590 + 0.119271i
\(418\) 6.33508 2.52583i 0.309859 0.123542i
\(419\) 27.6188 + 12.6131i 1.34927 + 0.616190i 0.953286 0.302068i \(-0.0976770\pi\)
0.395982 + 0.918258i \(0.370404\pi\)
\(420\) 3.79876 + 1.53323i 0.185360 + 0.0748139i
\(421\) −1.65958 + 5.65201i −0.0808829 + 0.275462i −0.989998 0.141084i \(-0.954941\pi\)
0.909115 + 0.416546i \(0.136759\pi\)
\(422\) −2.25960 + 4.36788i −0.109995 + 0.212625i
\(423\) 0.448598 + 0.982292i 0.0218116 + 0.0477607i
\(424\) −5.42290 18.7617i −0.263359 0.911151i
\(425\) 10.0389 11.5856i 0.486960 0.561982i
\(426\) 0.396198 2.04019i 0.0191958 0.0988478i
\(427\) −4.37343 14.8945i −0.211645 0.720797i
\(428\) 0.466334 4.74239i 0.0225411 0.229232i
\(429\) 0.685970 + 1.06739i 0.0331190 + 0.0515341i
\(430\) −2.29455 9.51679i −0.110653 0.458940i
\(431\) 1.65536 + 11.5133i 0.0797360 + 0.554576i 0.990056 + 0.140672i \(0.0449262\pi\)
−0.910320 + 0.413905i \(0.864165\pi\)
\(432\) 0.357774 + 3.98397i 0.0172134 + 0.191679i
\(433\) 4.46528 31.0567i 0.214588 1.49249i −0.542986 0.839742i \(-0.682706\pi\)
0.757574 0.652750i \(-0.226385\pi\)
\(434\) −0.0505078 + 1.02976i −0.00242445 + 0.0494298i
\(435\) 5.30361 4.59561i 0.254289 0.220342i
\(436\) 1.66094 + 0.965193i 0.0795444 + 0.0462244i
\(437\) 16.4883 + 30.5890i 0.788743 + 1.46327i
\(438\) 16.3695 9.42018i 0.782163 0.450113i
\(439\) 12.9001 + 14.8875i 0.615688 + 0.710542i 0.974882 0.222721i \(-0.0714939\pi\)
−0.359194 + 0.933263i \(0.616948\pi\)
\(440\) −1.38654 0.899378i −0.0661005 0.0428762i
\(441\) −0.221571 + 1.54106i −0.0105510 + 0.0733839i
\(442\) −0.915224 9.72953i −0.0435328 0.462787i
\(443\) −6.51246 + 0.936351i −0.309416 + 0.0444874i −0.295274 0.955413i \(-0.595411\pi\)
−0.0141424 + 0.999900i \(0.504502\pi\)
\(444\) 8.01742 7.60157i 0.380490 0.360754i
\(445\) 3.42416 + 5.32809i 0.162321 + 0.252576i
\(446\) 4.14628 5.80530i 0.196332 0.274889i
\(447\) 10.2066 2.99693i 0.482756 0.141750i
\(448\) 12.3414 14.0017i 0.583075 0.661519i
\(449\) −4.20060 + 4.84775i −0.198239 + 0.228779i −0.846162 0.532926i \(-0.821092\pi\)
0.647923 + 0.761706i \(0.275638\pi\)
\(450\) −4.32286 4.13349i −0.203782 0.194854i
\(451\) 6.82600 3.11733i 0.321424 0.146789i
\(452\) 0.0649108 + 1.44853i 0.00305315 + 0.0681331i
\(453\) 4.04820 13.7869i 0.190201 0.647766i
\(454\) −8.96055 11.4274i −0.420539 0.536313i
\(455\) −1.62210 + 3.55191i −0.0760453 + 0.166516i
\(456\) −3.00238 + 20.2732i −0.140599 + 0.949380i
\(457\) −8.42472 5.41424i −0.394092 0.253267i 0.328555 0.944485i \(-0.393438\pi\)
−0.722647 + 0.691217i \(0.757075\pi\)
\(458\) −27.0813 9.41567i −1.26542 0.439965i
\(459\) 3.62474i 0.169189i
\(460\) 3.74170 7.54387i 0.174458 0.351735i
\(461\) 7.19455i 0.335084i −0.985865 0.167542i \(-0.946417\pi\)
0.985865 0.167542i \(-0.0535830\pi\)
\(462\) −0.721147 + 2.07416i −0.0335508 + 0.0964985i
\(463\) 31.8319 + 20.4571i 1.47935 + 0.950723i 0.997211 + 0.0746309i \(0.0237779\pi\)
0.482143 + 0.876092i \(0.339859\pi\)
\(464\) −11.7159 29.7499i −0.543898 1.38110i
\(465\) −0.113962 + 0.249542i −0.00528487 + 0.0115723i
\(466\) 8.16109 6.39936i 0.378055 0.296445i
\(467\) 7.70595 26.2440i 0.356589 1.21443i −0.564617 0.825353i \(-0.690976\pi\)
0.921205 0.389076i \(-0.127206\pi\)
\(468\) −3.80897 + 0.170686i −0.176069 + 0.00788994i
\(469\) 31.9974 14.6127i 1.47750 0.674753i
\(470\) 0.926596 0.969048i 0.0427407 0.0446989i
\(471\) −9.09931 + 10.5012i −0.419274 + 0.483868i
\(472\) 14.1624 + 12.3770i 0.651877 + 0.569697i
\(473\) 5.03513 1.47845i 0.231515 0.0679791i
\(474\) −8.43606 6.02523i −0.387481 0.276748i
\(475\) −16.5676 25.7797i −0.760173 1.18285i
\(476\) 12.2736 11.6370i 0.562561 0.533382i
\(477\) −6.83452 + 0.982656i −0.312931 + 0.0449927i
\(478\) 12.5426 1.17984i 0.573687 0.0539648i
\(479\) −1.56196 + 10.8637i −0.0713679 + 0.496374i 0.922517 + 0.385956i \(0.126128\pi\)
−0.993885 + 0.110419i \(0.964781\pi\)
\(480\) 4.43018 2.24455i 0.202209 0.102449i
\(481\) 6.89641 + 7.95888i 0.314449 + 0.362894i
\(482\) −10.1161 17.5788i −0.460777 0.800693i
\(483\) −10.9201 2.43758i −0.496883 0.110914i
\(484\) −10.6085 + 18.2555i −0.482206 + 0.829795i
\(485\) −4.69576 + 4.06890i −0.213224 + 0.184759i
\(486\) 1.41252 + 0.0692815i 0.0640730 + 0.00314267i
\(487\) −6.02842 + 41.9286i −0.273174 + 1.89997i 0.141403 + 0.989952i \(0.454839\pi\)
−0.414577 + 0.910014i \(0.636071\pi\)
\(488\) −17.0856 7.89018i −0.773428 0.357172i
\(489\) −1.07796 7.49736i −0.0487469 0.339042i
\(490\) 1.87918 0.453082i 0.0848929 0.0204682i
\(491\) −6.62591 10.3101i −0.299023 0.465289i 0.658934 0.752201i \(-0.271008\pi\)
−0.957957 + 0.286912i \(0.907371\pi\)
\(492\) −2.20677 + 22.4417i −0.0994888 + 1.01175i
\(493\) −8.16296 27.8005i −0.367641 1.25207i
\(494\) −19.1769 3.72407i −0.862808 0.167554i
\(495\) −0.382643 + 0.441593i −0.0171985 + 0.0198481i
\(496\) 0.899725 + 0.867620i 0.0403988 + 0.0389573i
\(497\) 1.42430 + 3.11877i 0.0638884 + 0.139896i
\(498\) −3.39101 1.75424i −0.151955 0.0786095i
\(499\) 7.98942 27.2095i 0.357656 1.21806i −0.562595 0.826733i \(-0.690197\pi\)
0.920250 0.391330i \(-0.127985\pi\)
\(500\) −6.06527 + 15.0274i −0.271247 + 0.672047i
\(501\) 16.9480 + 7.73991i 0.757182 + 0.345794i
\(502\) 3.48125 + 8.73139i 0.155376 + 0.389701i
\(503\) −16.7847 10.7869i −0.748394 0.480964i 0.110015 0.993930i \(-0.464910\pi\)
−0.858409 + 0.512966i \(0.828547\pi\)
\(504\) −4.30020 5.00530i −0.191546 0.222954i
\(505\) 7.20528 0.320631
\(506\) 4.13732 + 1.80523i 0.183926 + 0.0802524i
\(507\) 9.36566i 0.415944i
\(508\) −26.5399 + 5.03761i −1.17752 + 0.223508i
\(509\) 22.7821 35.4496i 1.00980 1.57128i 0.204103 0.978950i \(-0.434572\pi\)
0.805697 0.592329i \(-0.201791\pi\)
\(510\) 4.18040 1.66675i 0.185111 0.0738048i
\(511\) −12.9432 + 28.3416i −0.572572 + 1.25376i
\(512\) −2.93592 22.4361i −0.129750 0.991547i
\(513\) 6.95233 + 2.04139i 0.306953 + 0.0901295i
\(514\) 36.3698 + 18.8149i 1.60420 + 0.829888i
\(515\) 9.48029 4.32950i 0.417752 0.190781i
\(516\) −3.76095 + 15.3143i −0.165567 + 0.674176i
\(517\) 0.543171 + 0.470661i 0.0238886 + 0.0206996i
\(518\) −3.47457 + 17.8921i −0.152664 + 0.786133i
\(519\) 6.21383 1.82455i 0.272757 0.0800887i
\(520\) 1.94831 + 4.31437i 0.0854390 + 0.189198i
\(521\) −1.82807 + 1.17483i −0.0800894 + 0.0514703i −0.580073 0.814565i \(-0.696976\pi\)
0.499983 + 0.866035i \(0.333339\pi\)
\(522\) −10.9895 + 2.64963i −0.480998 + 0.115971i
\(523\) 3.22775 0.464081i 0.141140 0.0202928i −0.0713828 0.997449i \(-0.522741\pi\)
0.212523 + 0.977156i \(0.431832\pi\)
\(524\) 14.1562 10.0206i 0.618417 0.437751i
\(525\) 9.76656 + 1.40422i 0.426248 + 0.0612851i
\(526\) −1.19448 + 24.3532i −0.0520819 + 1.06185i
\(527\) 0.741727 + 0.855999i 0.0323101 + 0.0372879i
\(528\) 1.31809 + 2.31302i 0.0573627 + 0.100661i
\(529\) −6.71862 + 21.9968i −0.292114 + 0.956383i
\(530\) 4.27598 + 7.43037i 0.185737 + 0.322755i
\(531\) 5.02562 4.35472i 0.218093 0.188979i
\(532\) −15.4078 30.0948i −0.668011 1.30478i
\(533\) −21.2758 3.05900i −0.921557 0.132500i
\(534\) −0.955480 10.1575i −0.0413477 0.439557i
\(535\) 0.297692 + 2.07050i 0.0128704 + 0.0895153i
\(536\) 12.1874 40.8667i 0.526418 1.76517i
\(537\) −11.1941 + 7.19401i −0.483061 + 0.310444i
\(538\) 17.2447 + 12.3166i 0.743473 + 0.531006i
\(539\) 0.291934 + 0.994235i 0.0125745 + 0.0428247i
\(540\) −0.569608 1.66090i −0.0245120 0.0714739i
\(541\) 16.4337 + 14.2399i 0.706539 + 0.612219i 0.932182 0.361991i \(-0.117903\pi\)
−0.225643 + 0.974210i \(0.572448\pi\)
\(542\) 10.9594 + 10.4793i 0.470746 + 0.450124i
\(543\) −4.02744 8.81885i −0.172834 0.378453i
\(544\) −0.831320 20.4878i −0.0356425 0.878407i
\(545\) −0.809103 0.237574i −0.0346582 0.0101766i
\(546\) 4.94975 3.88125i 0.211830 0.166102i
\(547\) 9.26717 + 4.23218i 0.396236 + 0.180955i 0.603560 0.797317i \(-0.293748\pi\)
−0.207324 + 0.978272i \(0.566476\pi\)
\(548\) −0.494419 0.391075i −0.0211205 0.0167059i
\(549\) −3.59725 + 5.59743i −0.153527 + 0.238893i
\(550\) −3.75994 1.30726i −0.160324 0.0557419i
\(551\) −57.9191 −2.46744
\(552\) −10.9370 + 8.02387i −0.465509 + 0.341519i
\(553\) 17.1022 0.727260
\(554\) −8.82965 3.06991i −0.375136 0.130428i
\(555\) −2.62199 + 4.07990i −0.111297 + 0.173182i
\(556\) −5.58955 + 7.06662i −0.237050 + 0.299691i
\(557\) 39.8617 + 18.2042i 1.68900 + 0.771339i 0.998864 + 0.0476549i \(0.0151748\pi\)
0.690132 + 0.723684i \(0.257553\pi\)
\(558\) 0.347749 0.272680i 0.0147214 0.0115435i
\(559\) −14.4225 4.23481i −0.610005 0.179114i
\(560\) −3.79524 + 7.26096i −0.160378 + 0.306832i
\(561\) 1.00217 + 2.19446i 0.0423118 + 0.0926500i
\(562\) 4.36095 + 4.16990i 0.183955 + 0.175897i
\(563\) −1.23562 1.07067i −0.0520752 0.0451234i 0.628434 0.777863i \(-0.283696\pi\)
−0.680510 + 0.732739i \(0.738242\pi\)
\(564\) −2.04296 + 0.700633i −0.0860239 + 0.0295020i
\(565\) −0.179321 0.610711i −0.00754408 0.0256928i
\(566\) 15.1204 + 10.7993i 0.635558 + 0.453930i
\(567\) −1.96268 + 1.26134i −0.0824248 + 0.0529712i
\(568\) 3.98326 + 1.18790i 0.167134 + 0.0498433i
\(569\) 5.16449 + 35.9198i 0.216507 + 1.50584i 0.750795 + 0.660536i \(0.229671\pi\)
−0.534288 + 0.845303i \(0.679420\pi\)
\(570\) −0.842533 8.95677i −0.0352898 0.375158i
\(571\) −0.275956 0.0396764i −0.0115484 0.00166041i 0.136538 0.990635i \(-0.456402\pi\)
−0.148087 + 0.988974i \(0.547311\pi\)
\(572\) −2.25879 + 1.15644i −0.0944449 + 0.0483533i
\(573\) 16.0931 13.9448i 0.672299 0.582550i
\(574\) −18.5551 32.2431i −0.774473 1.34580i
\(575\) 4.41873 19.7955i 0.184274 0.825531i
\(576\) −7.99971 0.0676386i −0.333321 0.00281828i
\(577\) 9.43503 + 10.8886i 0.392785 + 0.453298i 0.917356 0.398069i \(-0.130319\pi\)
−0.524570 + 0.851367i \(0.675774\pi\)
\(578\) −0.267512 + 5.45405i −0.0111270 + 0.226859i
\(579\) 20.1426 + 2.89606i 0.837097 + 0.120356i
\(580\) 8.10906 + 11.4558i 0.336710 + 0.475675i
\(581\) 6.23432 0.896359i 0.258643 0.0371873i
\(582\) 9.72999 2.34596i 0.403321 0.0972430i
\(583\) −3.86600 + 2.48453i −0.160114 + 0.102899i
\(584\) 15.5461 + 34.4255i 0.643300 + 1.42454i
\(585\) 1.60589 0.471531i 0.0663953 0.0194954i
\(586\) 6.49890 33.4657i 0.268467 1.38245i
\(587\) −8.10819 7.02578i −0.334661 0.289985i 0.471277 0.881985i \(-0.343793\pi\)
−0.805938 + 0.592000i \(0.798339\pi\)
\(588\) −3.02396 0.742636i −0.124706 0.0306258i
\(589\) 2.05955 0.940565i 0.0848623 0.0387553i
\(590\) −7.33318 3.79361i −0.301902 0.156180i
\(591\) 24.0763 + 7.06945i 0.990368 + 0.290798i
\(592\) 13.5610 + 17.4457i 0.557353 + 0.717012i
\(593\) −1.56557 + 3.42812i −0.0642903 + 0.140776i −0.939050 0.343781i \(-0.888292\pi\)
0.874759 + 0.484557i \(0.161019\pi\)
\(594\) 0.874306 0.348591i 0.0358732 0.0143029i
\(595\) −4.01393 + 6.24580i −0.164555 + 0.256053i
\(596\) 3.96743 + 20.9018i 0.162512 + 0.856171i
\(597\) 23.1998i 0.949505i
\(598\) −7.17397 10.7570i −0.293365 0.439888i
\(599\) 4.73711 0.193553 0.0967765 0.995306i \(-0.469147\pi\)
0.0967765 + 0.995306i \(0.469147\pi\)
\(600\) 9.07338 7.79521i 0.370419 0.318238i
\(601\) −25.3023 16.2608i −1.03210 0.663293i −0.0890819 0.996024i \(-0.528393\pi\)
−0.943022 + 0.332732i \(0.892030\pi\)
\(602\) −9.63473 24.1650i −0.392682 0.984893i
\(603\) −13.7149 6.26338i −0.558513 0.255064i
\(604\) 26.6491 + 10.7560i 1.08434 + 0.437653i
\(605\) 2.61120 8.89292i 0.106160 0.361549i
\(606\) −10.3089 5.33299i −0.418769 0.216638i
\(607\) −9.24100 20.2350i −0.375081 0.821312i −0.999200 0.0399833i \(-0.987270\pi\)
0.624120 0.781329i \(-0.285458\pi\)
\(608\) −39.7642 9.94386i −1.61265 0.403277i
\(609\) 12.2125 14.0940i 0.494876 0.571117i
\(610\) 8.10960 + 1.57485i 0.328348 + 0.0637639i
\(611\) −0.579996 1.97528i −0.0234641 0.0799114i
\(612\) −7.21469 0.709444i −0.291637 0.0286776i
\(613\) −3.74485 5.82711i −0.151253 0.235355i 0.757356 0.653003i \(-0.226491\pi\)
−0.908609 + 0.417648i \(0.862855\pi\)
\(614\) 3.54347 0.854352i 0.143003 0.0344788i
\(615\) −1.40873 9.79792i −0.0568054 0.395090i
\(616\) −3.98726 1.84133i −0.160651 0.0741893i
\(617\) 0.335075 2.33050i 0.0134896 0.0938223i −0.981964 0.189066i \(-0.939454\pi\)
0.995454 + 0.0952438i \(0.0303631\pi\)
\(618\) −16.7683 0.822456i −0.674519 0.0330840i
\(619\) 9.04859 7.84065i 0.363694 0.315142i −0.453774 0.891117i \(-0.649923\pi\)
0.817468 + 0.575974i \(0.195377\pi\)
\(620\) −0.474384 0.275672i −0.0190517 0.0110712i
\(621\) 2.27556 + 4.22159i 0.0913149 + 0.169407i
\(622\) −3.33512 5.79544i −0.133726 0.232376i
\(623\) 11.0219 + 12.7199i 0.441583 + 0.509613i
\(624\) 0.405767 7.61477i 0.0162437 0.304835i
\(625\) −1.99705 + 13.8898i −0.0798820 + 0.555591i
\(626\) −12.7238 + 1.19689i −0.508546 + 0.0478372i
\(627\) 4.77342 0.686314i 0.190632 0.0274087i
\(628\) −19.1206 20.1666i −0.762994 0.804734i
\(629\) 10.8255 + 16.8448i 0.431641 + 0.671646i
\(630\) 2.35719 + 1.68355i 0.0939125 + 0.0670744i
\(631\) −20.3419 + 5.97293i −0.809800 + 0.237779i −0.660318 0.750986i \(-0.729579\pi\)
−0.149481 + 0.988765i \(0.547760\pi\)
\(632\) 13.6437 15.6119i 0.542719 0.621007i
\(633\) −2.27719 + 2.62802i −0.0905103 + 0.104454i
\(634\) −5.32660 + 5.57063i −0.211546 + 0.221238i
\(635\) 10.7865 4.92604i 0.428050 0.195484i
\(636\) −0.618209 13.7958i −0.0245136 0.547038i
\(637\) 0.836206 2.84785i 0.0331317 0.112836i
\(638\) −5.92058 + 4.64251i −0.234398 + 0.183799i
\(639\) 0.610488 1.33678i 0.0241505 0.0528823i
\(640\) 3.60046 + 9.25713i 0.142321 + 0.365920i
\(641\) −33.4828 21.5181i −1.32249 0.849914i −0.327024 0.945016i \(-0.606046\pi\)
−0.995468 + 0.0951019i \(0.969682\pi\)
\(642\) 1.10656 3.18267i 0.0436723 0.125610i
\(643\) 29.7780i 1.17433i 0.809468 + 0.587165i \(0.199756\pi\)
−0.809468 + 0.587165i \(0.800244\pi\)
\(644\) 6.98907 21.2583i 0.275408 0.837696i
\(645\) 6.92222i 0.272562i
\(646\) −35.0833 12.1978i −1.38034 0.479918i
\(647\) 33.2305 + 21.3559i 1.30643 + 0.839589i 0.993896 0.110319i \(-0.0351873\pi\)
0.312530 + 0.949908i \(0.398824\pi\)
\(648\) −0.414359 + 2.79791i −0.0162776 + 0.109912i
\(649\) 1.83856 4.02588i 0.0721698 0.158030i
\(650\) 7.03575 + 8.97268i 0.275965 + 0.351937i
\(651\) −0.205389 + 0.699492i −0.00804984 + 0.0274152i
\(652\) 15.1337 0.678165i 0.592682 0.0265590i
\(653\) −23.1685 + 10.5807i −0.906655 + 0.414055i −0.813479 0.581594i \(-0.802429\pi\)
−0.0931757 + 0.995650i \(0.529702\pi\)
\(654\) 0.981773 + 0.938763i 0.0383903 + 0.0367085i
\(655\) −4.98570 + 5.75380i −0.194807 + 0.224820i
\(656\) −44.2361 8.78471i −1.72713 0.342985i
\(657\) 12.8138 3.76247i 0.499913 0.146788i
\(658\) 2.07082 2.89940i 0.0807288 0.113030i
\(659\) 11.9780 + 18.6382i 0.466598 + 0.726041i 0.992195 0.124693i \(-0.0397945\pi\)
−0.525597 + 0.850733i \(0.676158\pi\)
\(660\) −0.804056 0.848042i −0.0312978 0.0330100i
\(661\) −30.9087 + 4.44400i −1.20221 + 0.172852i −0.714171 0.699971i \(-0.753196\pi\)
−0.488038 + 0.872822i \(0.662287\pi\)
\(662\) −3.65316 38.8359i −0.141984 1.50940i
\(663\) 0.983422 6.83985i 0.0381930 0.265638i
\(664\) 4.15534 6.40613i 0.161258 0.248606i
\(665\) 9.71899 + 11.2163i 0.376886 + 0.434950i
\(666\) 6.77111 3.89659i 0.262375 0.150990i
\(667\) −26.9598 27.2535i −1.04389 1.05526i
\(668\) −18.7226 + 32.2185i −0.724400 + 1.24657i
\(669\) 3.81235 3.30342i 0.147394 0.127718i
\(670\) −0.917074 + 18.6974i −0.0354297 + 0.722342i
\(671\) −0.630226 + 4.38332i −0.0243296 + 0.169216i
\(672\) 10.8042 7.57947i 0.416781 0.292385i
\(673\) 2.82944 + 19.6792i 0.109067 + 0.758576i 0.968802 + 0.247836i \(0.0797195\pi\)
−0.859735 + 0.510740i \(0.829371\pi\)
\(674\) −3.10505 12.8784i −0.119602 0.496056i
\(675\) −2.28650 3.55786i −0.0880073 0.136942i
\(676\) −18.6414 1.83307i −0.716978 0.0705027i
\(677\) −11.1832 38.0865i −0.429806 1.46378i −0.835355 0.549711i \(-0.814738\pi\)
0.405549 0.914073i \(-0.367080\pi\)
\(678\) −0.195456 + 1.00649i −0.00750646 + 0.0386540i
\(679\) −10.8128 + 12.4787i −0.414958 + 0.478887i
\(680\) 2.49930 + 8.64689i 0.0958437 + 0.331593i
\(681\) −4.26561 9.34038i −0.163458 0.357924i
\(682\) 0.135139 0.261230i 0.00517476 0.0100030i
\(683\) 8.25029 28.0979i 0.315688 1.07514i −0.636918 0.770931i \(-0.719791\pi\)
0.952607 0.304205i \(-0.0983907\pi\)
\(684\) −5.42391 + 13.4384i −0.207388 + 0.513829i
\(685\) 0.251713 + 0.114953i 0.00961744 + 0.00439214i
\(686\) 26.2252 10.4561i 1.00128 0.399217i
\(687\) −17.0554 10.9608i −0.650703 0.418181i
\(688\) −29.7455 10.4831i −1.13404 0.399666i
\(689\) 13.1633 0.501481
\(690\) 3.82238 4.56558i 0.145516 0.173809i
\(691\) 9.33930i 0.355284i −0.984095 0.177642i \(-0.943153\pi\)
0.984095 0.177642i \(-0.0568468\pi\)
\(692\) 2.41539 + 12.7251i 0.0918193 + 0.483736i
\(693\) −0.839490 + 1.30627i −0.0318896 + 0.0496212i
\(694\) −15.7463 39.4935i −0.597721 1.49915i
\(695\) 1.64300 3.59767i 0.0623226 0.136467i
\(696\) −3.12294 22.3921i −0.118375 0.848771i
\(697\) −39.2135 11.5141i −1.48532 0.436128i
\(698\) −11.8697 + 22.9446i −0.449275 + 0.868466i
\(699\) 6.67063 3.04637i 0.252306 0.115224i
\(700\) −4.70649 + 19.1645i −0.177889 + 0.724351i
\(701\) 2.49087 + 2.15835i 0.0940790 + 0.0815199i 0.700630 0.713524i \(-0.252902\pi\)
−0.606552 + 0.795044i \(0.707448\pi\)
\(702\) −2.64661 0.513960i −0.0998897 0.0193982i
\(703\) 38.4054 11.2768i 1.44849 0.425314i
\(704\) −4.86181 + 2.17082i −0.183236 + 0.0818160i
\(705\) 0.797559 0.512560i 0.0300378 0.0193041i
\(706\) 4.96114 + 20.5766i 0.186715 + 0.774410i
\(707\) 18.9527 2.72498i 0.712788 0.102483i
\(708\) 7.68401 + 10.8553i 0.288783 + 0.407967i
\(709\) 0.557821 + 0.0802025i 0.0209494 + 0.00301207i 0.152782 0.988260i \(-0.451177\pi\)
−0.131832 + 0.991272i \(0.542086\pi\)
\(710\) −1.82242 0.0893868i −0.0683943 0.00335463i
\(711\) −4.80041 5.53997i −0.180030 0.207765i
\(712\) 20.4045 + 0.0862597i 0.764690 + 0.00323272i
\(713\) 1.40124 + 0.531303i 0.0524769 + 0.0198975i
\(714\) 10.3657 5.96518i 0.387926 0.223241i
\(715\) 0.841851 0.729468i 0.0314834 0.0272806i
\(716\) −12.1280 23.6888i −0.453246 0.885291i
\(717\) 8.81746 + 1.26776i 0.329294 + 0.0473454i
\(718\) 24.7252 2.32582i 0.922736 0.0867987i
\(719\) 2.42245 + 16.8485i 0.0903422 + 0.628344i 0.983810 + 0.179216i \(0.0573561\pi\)
−0.893468 + 0.449128i \(0.851735\pi\)
\(720\) 3.41735 0.808672i 0.127357 0.0301374i
\(721\) 23.2994 14.9736i 0.867715 0.557647i
\(722\) −27.5370 + 38.5552i −1.02482 + 1.43488i
\(723\) −4.04043 13.7605i −0.150265 0.511757i
\(724\) 18.3413 6.29016i 0.681649 0.233772i
\(725\) 25.5489 + 22.1383i 0.948864 + 0.822195i
\(726\) −10.3180 + 10.7908i −0.382938 + 0.400482i
\(727\) −11.7079 25.6367i −0.434222 0.950813i −0.992623 0.121242i \(-0.961312\pi\)
0.558401 0.829571i \(-0.311415\pi\)
\(728\) 6.75646 + 10.6116i 0.250411 + 0.393293i
\(729\) 0.959493 + 0.281733i 0.0355368 + 0.0104345i
\(730\) −10.2313 13.0480i −0.378679 0.482928i
\(731\) −25.9973 11.8726i −0.961544 0.439122i
\(732\) −10.4371 8.25552i −0.385765 0.305133i
\(733\) −13.2937 + 20.6854i −0.491015 + 0.764034i −0.995021 0.0996660i \(-0.968223\pi\)
0.504006 + 0.863700i \(0.331859\pi\)
\(734\) 7.17621 20.6401i 0.264879 0.761842i
\(735\) 1.36686 0.0504174
\(736\) −13.8301 23.3394i −0.509785 0.860302i
\(737\) −10.0348 −0.369638
\(738\) −5.23641 + 15.0609i −0.192755 + 0.554400i
\(739\) −22.5657 + 35.1130i −0.830094 + 1.29165i 0.124042 + 0.992277i \(0.460414\pi\)
−0.954136 + 0.299374i \(0.903222\pi\)
\(740\) −7.60745 6.01734i −0.279655 0.221202i
\(741\) −12.5651 5.73830i −0.461592 0.210802i
\(742\) 14.0576 + 17.9276i 0.516069 + 0.658142i
\(743\) 51.1839 + 15.0290i 1.87776 + 0.551359i 0.996965 + 0.0778525i \(0.0248063\pi\)
0.880790 + 0.473506i \(0.157012\pi\)
\(744\) 0.474681 + 0.745529i 0.0174026 + 0.0273324i
\(745\) −3.87956 8.49505i −0.142136 0.311235i
\(746\) 32.8986 34.4059i 1.20450 1.25969i
\(747\) −2.04027 1.76790i −0.0746495 0.0646841i
\(748\) −4.56399 + 1.56522i −0.166876 + 0.0572303i
\(749\) 1.56609 + 5.33361i 0.0572237 + 0.194886i
\(750\) −6.65994 + 9.32474i −0.243187 + 0.340491i
\(751\) 6.57342 4.22448i 0.239867 0.154153i −0.415185 0.909737i \(-0.636283\pi\)
0.655052 + 0.755584i \(0.272647\pi\)
\(752\) −0.994687 4.20343i −0.0362725 0.153283i
\(753\) 0.945919 + 6.57901i 0.0344712 + 0.239752i
\(754\) 21.4560 2.01829i 0.781380 0.0735017i
\(755\) −12.4866 1.79530i −0.454432 0.0653375i
\(756\) −2.12643 4.15339i −0.0773374 0.151057i
\(757\) −14.1903 + 12.2960i −0.515756 + 0.446905i −0.873436 0.486939i \(-0.838113\pi\)
0.357680 + 0.933844i \(0.383568\pi\)
\(758\) 12.0815 6.95257i 0.438819 0.252529i
\(759\) 2.54484 + 1.92665i 0.0923717 + 0.0699328i
\(760\) 17.9925 + 0.0760629i 0.652655 + 0.00275909i
\(761\) 25.5824 + 29.5237i 0.927362 + 1.07023i 0.997355 + 0.0726854i \(0.0231569\pi\)
−0.0699929 + 0.997547i \(0.522298\pi\)
\(762\) −19.0787 0.935777i −0.691148 0.0338996i
\(763\) −2.21810 0.318914i −0.0803006 0.0115455i
\(764\) 24.6059 + 34.7610i 0.890209 + 1.25761i
\(765\) 3.14989 0.452885i 0.113884 0.0163741i
\(766\) −5.71193 23.6906i −0.206381 0.855975i
\(767\) −10.6648 + 6.85382i −0.385082 + 0.247477i
\(768\) 1.70035 15.9094i 0.0613561 0.574081i
\(769\) −25.7863 + 7.57153i −0.929876 + 0.273036i −0.711385 0.702803i \(-0.751932\pi\)
−0.218491 + 0.975839i \(0.570113\pi\)
\(770\) 1.89254 + 0.367523i 0.0682022 + 0.0132446i
\(771\) 21.8826 + 18.9614i 0.788082 + 0.682877i
\(772\) −9.70668 + 39.5249i −0.349351 + 1.42253i
\(773\) −2.56210 + 1.17007i −0.0921522 + 0.0420845