Properties

Label 546.2.ch.a.305.37
Level $546$
Weight $2$
Character 546.305
Analytic conductor $4.360$
Analytic rank $0$
Dimension $152$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.ch (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(152\)
Relative dimension: \(38\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 305.37
Character \(\chi\) \(=\) 546.305
Dual form 546.2.ch.a.401.37

$q$-expansion

\(f(q)\) \(=\) \(q+(0.707107 + 0.707107i) q^{2} +(1.63694 - 0.566057i) q^{3} +1.00000i q^{4} +(0.469106 - 1.75073i) q^{5} +(1.55776 + 0.757230i) q^{6} +(0.107711 - 2.64356i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(2.35916 - 1.85321i) q^{9} +O(q^{10})\) \(q+(0.707107 + 0.707107i) q^{2} +(1.63694 - 0.566057i) q^{3} +1.00000i q^{4} +(0.469106 - 1.75073i) q^{5} +(1.55776 + 0.757230i) q^{6} +(0.107711 - 2.64356i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(2.35916 - 1.85321i) q^{9} +(1.56966 - 0.906243i) q^{10} +(0.871755 + 0.233586i) q^{11} +(0.566057 + 1.63694i) q^{12} +(-0.922476 - 3.48555i) q^{13} +(1.94544 - 1.79311i) q^{14} +(-0.223113 - 3.13138i) q^{15} -1.00000 q^{16} -6.58628 q^{17} +(2.97859 + 0.357762i) q^{18} +(1.69870 + 6.33965i) q^{19} +(1.75073 + 0.469106i) q^{20} +(-1.32009 - 4.38832i) q^{21} +(0.451253 + 0.781594i) q^{22} -1.37581 q^{23} +(-0.757230 + 1.55776i) q^{24} +(1.48514 + 0.857446i) q^{25} +(1.81236 - 3.11694i) q^{26} +(2.81278 - 4.36901i) q^{27} +(2.64356 + 0.107711i) q^{28} +(5.47519 + 3.16110i) q^{29} +(2.05646 - 2.37199i) q^{30} +(1.22720 + 4.57998i) q^{31} +(-0.707107 - 0.707107i) q^{32} +(1.55924 - 0.111097i) q^{33} +(-4.65721 - 4.65721i) q^{34} +(-4.57762 - 1.42868i) q^{35} +(1.85321 + 2.35916i) q^{36} +(7.02220 + 7.02220i) q^{37} +(-3.28164 + 5.68397i) q^{38} +(-3.48306 - 5.18346i) q^{39} +(0.906243 + 1.56966i) q^{40} +(-12.1581 + 3.25776i) q^{41} +(2.16957 - 4.03646i) q^{42} +(3.99588 - 2.30702i) q^{43} +(-0.233586 + 0.871755i) q^{44} +(-2.13776 - 4.99959i) q^{45} +(-0.972841 - 0.972841i) q^{46} +(3.58728 + 0.961209i) q^{47} +(-1.63694 + 0.566057i) q^{48} +(-6.97680 - 0.569480i) q^{49} +(0.443847 + 1.65646i) q^{50} +(-10.7814 + 3.72822i) q^{51} +(3.48555 - 0.922476i) q^{52} +(4.00068 + 2.30979i) q^{53} +(5.07829 - 1.10042i) q^{54} +(0.817891 - 1.41663i) q^{55} +(1.79311 + 1.94544i) q^{56} +(6.36928 + 9.41607i) q^{57} +(1.63631 + 6.10678i) q^{58} +(-3.79190 + 3.79190i) q^{59} +(3.13138 - 0.223113i) q^{60} +(-0.159236 + 0.275805i) q^{61} +(-2.37077 + 4.10630i) q^{62} +(-4.64495 - 6.43618i) q^{63} -1.00000i q^{64} +(-6.53498 - 0.0200864i) q^{65} +(1.18110 + 1.02399i) q^{66} +(1.50744 + 0.403918i) q^{67} -6.58628i q^{68} +(-2.25211 + 0.778785i) q^{69} +(-2.22664 - 4.24710i) q^{70} +(0.215183 - 0.803072i) q^{71} +(-0.357762 + 2.97859i) q^{72} +(9.62392 - 2.57872i) q^{73} +9.93089i q^{74} +(2.91645 + 0.562915i) q^{75} +(-6.33965 + 1.69870i) q^{76} +(0.711396 - 2.27937i) q^{77} +(1.20237 - 6.12816i) q^{78} +(-3.91647 - 6.78352i) q^{79} +(-0.469106 + 1.75073i) q^{80} +(2.13125 - 8.74401i) q^{81} +(-10.9007 - 6.29352i) q^{82} +(-7.59633 - 7.59633i) q^{83} +(4.38832 - 1.32009i) q^{84} +(-3.08967 + 11.5308i) q^{85} +(4.45683 + 1.19420i) q^{86} +(10.7519 + 2.07527i) q^{87} +(-0.781594 + 0.451253i) q^{88} +(-9.27381 + 9.27381i) q^{89} +(2.02362 - 5.04687i) q^{90} +(-9.31361 + 2.06319i) q^{91} -1.37581i q^{92} +(4.60139 + 6.80250i) q^{93} +(1.85691 + 3.21627i) q^{94} +11.8959 q^{95} +(-1.55776 - 0.757230i) q^{96} +(8.51978 + 2.28287i) q^{97} +(-4.53066 - 5.33602i) q^{98} +(2.48949 - 1.06448i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 152q + 8q^{7} + O(q^{10}) \) \( 152q + 8q^{7} - 152q^{16} - 8q^{18} + 36q^{19} + 8q^{21} + 24q^{27} - 12q^{28} - 24q^{30} - 36q^{31} + 12q^{33} + 24q^{36} - 12q^{37} - 8q^{39} - 36q^{42} + 84q^{43} - 40q^{45} + 8q^{46} + 4q^{49} - 20q^{52} - 12q^{54} + 16q^{55} - 8q^{57} + 8q^{58} + 24q^{60} - 32q^{61} - 28q^{63} + 16q^{66} + 92q^{67} + 84q^{69} - 8q^{72} + 84q^{73} - 48q^{76} - 8q^{78} + 32q^{79} - 24q^{81} - 48q^{82} - 8q^{84} - 152q^{85} - 96q^{87} - 88q^{91} - 48q^{93} + 32q^{94} - 100q^{97} + 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(-1\) \(e\left(\frac{5}{12}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.707107 + 0.707107i 0.500000 + 0.500000i
\(3\) 1.63694 0.566057i 0.945089 0.326813i
\(4\) 1.00000i 0.500000i
\(5\) 0.469106 1.75073i 0.209791 0.782949i −0.778145 0.628085i \(-0.783839\pi\)
0.987936 0.154865i \(-0.0494942\pi\)
\(6\) 1.55776 + 0.757230i 0.635951 + 0.309138i
\(7\) 0.107711 2.64356i 0.0407109 0.999171i
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) 2.35916 1.85321i 0.786386 0.617735i
\(10\) 1.56966 0.906243i 0.496370 0.286579i
\(11\) 0.871755 + 0.233586i 0.262844 + 0.0704288i 0.387834 0.921729i \(-0.373223\pi\)
−0.124990 + 0.992158i \(0.539890\pi\)
\(12\) 0.566057 + 1.63694i 0.163407 + 0.472544i
\(13\) −0.922476 3.48555i −0.255849 0.966717i
\(14\) 1.94544 1.79311i 0.519941 0.479230i
\(15\) −0.223113 3.13138i −0.0576076 0.808519i
\(16\) −1.00000 −0.250000
\(17\) −6.58628 −1.59741 −0.798704 0.601724i \(-0.794481\pi\)
−0.798704 + 0.601724i \(0.794481\pi\)
\(18\) 2.97859 + 0.357762i 0.702061 + 0.0843252i
\(19\) 1.69870 + 6.33965i 0.389709 + 1.45441i 0.830608 + 0.556858i \(0.187993\pi\)
−0.440899 + 0.897557i \(0.645340\pi\)
\(20\) 1.75073 + 0.469106i 0.391475 + 0.104895i
\(21\) −1.32009 4.38832i −0.288067 0.957610i
\(22\) 0.451253 + 0.781594i 0.0962076 + 0.166636i
\(23\) −1.37581 −0.286875 −0.143438 0.989659i \(-0.545816\pi\)
−0.143438 + 0.989659i \(0.545816\pi\)
\(24\) −0.757230 + 1.55776i −0.154569 + 0.317976i
\(25\) 1.48514 + 0.857446i 0.297028 + 0.171489i
\(26\) 1.81236 3.11694i 0.355434 0.611283i
\(27\) 2.81278 4.36901i 0.541320 0.840816i
\(28\) 2.64356 + 0.107711i 0.499585 + 0.0203555i
\(29\) 5.47519 + 3.16110i 1.01672 + 0.587002i 0.913151 0.407621i \(-0.133642\pi\)
0.103565 + 0.994623i \(0.466975\pi\)
\(30\) 2.05646 2.37199i 0.375456 0.433063i
\(31\) 1.22720 + 4.57998i 0.220412 + 0.822589i 0.984191 + 0.177111i \(0.0566752\pi\)
−0.763779 + 0.645478i \(0.776658\pi\)
\(32\) −0.707107 0.707107i −0.125000 0.125000i
\(33\) 1.55924 0.111097i 0.271428 0.0193394i
\(34\) −4.65721 4.65721i −0.798704 0.798704i
\(35\) −4.57762 1.42868i −0.773759 0.241491i
\(36\) 1.85321 + 2.35916i 0.308868 + 0.393193i
\(37\) 7.02220 + 7.02220i 1.15444 + 1.15444i 0.985652 + 0.168790i \(0.0539860\pi\)
0.168790 + 0.985652i \(0.446014\pi\)
\(38\) −3.28164 + 5.68397i −0.532353 + 0.922062i
\(39\) −3.48306 5.18346i −0.557736 0.830018i
\(40\) 0.906243 + 1.56966i 0.143290 + 0.248185i
\(41\) −12.1581 + 3.25776i −1.89878 + 0.508777i −0.901708 + 0.432346i \(0.857686\pi\)
−0.997075 + 0.0764312i \(0.975647\pi\)
\(42\) 2.16957 4.03646i 0.334772 0.622839i
\(43\) 3.99588 2.30702i 0.609366 0.351818i −0.163351 0.986568i \(-0.552230\pi\)
0.772717 + 0.634750i \(0.218897\pi\)
\(44\) −0.233586 + 0.871755i −0.0352144 + 0.131422i
\(45\) −2.13776 4.99959i −0.318679 0.745295i
\(46\) −0.972841 0.972841i −0.143438 0.143438i
\(47\) 3.58728 + 0.961209i 0.523259 + 0.140207i 0.510774 0.859715i \(-0.329359\pi\)
0.0124852 + 0.999922i \(0.496026\pi\)
\(48\) −1.63694 + 0.566057i −0.236272 + 0.0817034i
\(49\) −6.97680 0.569480i −0.996685 0.0813544i
\(50\) 0.443847 + 1.65646i 0.0627694 + 0.234259i
\(51\) −10.7814 + 3.72822i −1.50969 + 0.522055i
\(52\) 3.48555 0.922476i 0.483358 0.127924i
\(53\) 4.00068 + 2.30979i 0.549535 + 0.317274i 0.748935 0.662644i \(-0.230566\pi\)
−0.199399 + 0.979918i \(0.563899\pi\)
\(54\) 5.07829 1.10042i 0.691068 0.149748i
\(55\) 0.817891 1.41663i 0.110284 0.191018i
\(56\) 1.79311 + 1.94544i 0.239615 + 0.259970i
\(57\) 6.36928 + 9.41607i 0.843632 + 1.24719i
\(58\) 1.63631 + 6.10678i 0.214857 + 0.801859i
\(59\) −3.79190 + 3.79190i −0.493663 + 0.493663i −0.909458 0.415795i \(-0.863503\pi\)
0.415795 + 0.909458i \(0.363503\pi\)
\(60\) 3.13138 0.223113i 0.404260 0.0288038i
\(61\) −0.159236 + 0.275805i −0.0203881 + 0.0353132i −0.876039 0.482239i \(-0.839824\pi\)
0.855651 + 0.517553i \(0.173157\pi\)
\(62\) −2.37077 + 4.10630i −0.301088 + 0.521501i
\(63\) −4.64495 6.43618i −0.585209 0.810883i
\(64\) 1.00000i 0.125000i
\(65\) −6.53498 0.0200864i −0.810565 0.00249142i
\(66\) 1.18110 + 1.02399i 0.145384 + 0.126044i
\(67\) 1.50744 + 0.403918i 0.184163 + 0.0493464i 0.349722 0.936854i \(-0.386276\pi\)
−0.165559 + 0.986200i \(0.552943\pi\)
\(68\) 6.58628i 0.798704i
\(69\) −2.25211 + 0.778785i −0.271123 + 0.0937547i
\(70\) −2.22664 4.24710i −0.266134 0.507625i
\(71\) 0.215183 0.803072i 0.0255375 0.0953072i −0.951981 0.306157i \(-0.900957\pi\)
0.977518 + 0.210850i \(0.0676233\pi\)
\(72\) −0.357762 + 2.97859i −0.0421626 + 0.351030i
\(73\) 9.62392 2.57872i 1.12639 0.301816i 0.352926 0.935651i \(-0.385187\pi\)
0.773468 + 0.633835i \(0.218520\pi\)
\(74\) 9.93089i 1.15444i
\(75\) 2.91645 + 0.562915i 0.336763 + 0.0649998i
\(76\) −6.33965 + 1.69870i −0.727207 + 0.194855i
\(77\) 0.711396 2.27937i 0.0810711 0.259759i
\(78\) 1.20237 6.12816i 0.136141 0.693877i
\(79\) −3.91647 6.78352i −0.440637 0.763206i 0.557100 0.830446i \(-0.311914\pi\)
−0.997737 + 0.0672398i \(0.978581\pi\)
\(80\) −0.469106 + 1.75073i −0.0524477 + 0.195737i
\(81\) 2.13125 8.74401i 0.236806 0.971557i
\(82\) −10.9007 6.29352i −1.20378 0.695003i
\(83\) −7.59633 7.59633i −0.833806 0.833806i 0.154229 0.988035i \(-0.450711\pi\)
−0.988035 + 0.154229i \(0.950711\pi\)
\(84\) 4.38832 1.32009i 0.478805 0.144034i
\(85\) −3.08967 + 11.5308i −0.335121 + 1.25069i
\(86\) 4.45683 + 1.19420i 0.480592 + 0.128774i
\(87\) 10.7519 + 2.07527i 1.15273 + 0.222492i
\(88\) −0.781594 + 0.451253i −0.0833182 + 0.0481038i
\(89\) −9.27381 + 9.27381i −0.983022 + 0.983022i −0.999858 0.0168363i \(-0.994641\pi\)
0.0168363 + 0.999858i \(0.494641\pi\)
\(90\) 2.02362 5.04687i 0.213308 0.531987i
\(91\) −9.31361 + 2.06319i −0.976331 + 0.216281i
\(92\) 1.37581i 0.143438i
\(93\) 4.60139 + 6.80250i 0.477142 + 0.705386i
\(94\) 1.85691 + 3.21627i 0.191526 + 0.331733i
\(95\) 11.8959 1.22049
\(96\) −1.55776 0.757230i −0.158988 0.0772844i
\(97\) 8.51978 + 2.28287i 0.865053 + 0.231790i 0.663947 0.747779i \(-0.268880\pi\)
0.201106 + 0.979570i \(0.435547\pi\)
\(98\) −4.53066 5.33602i −0.457665 0.539020i
\(99\) 2.48949 1.06448i 0.250203 0.106984i
\(100\) −0.857446 + 1.48514i −0.0857446 + 0.148514i
\(101\) −4.66466 8.07942i −0.464151 0.803933i 0.535012 0.844844i \(-0.320307\pi\)
−0.999163 + 0.0409119i \(0.986974\pi\)
\(102\) −10.2598 4.98733i −1.01587 0.493819i
\(103\) −6.49600 + 3.75047i −0.640070 + 0.369544i −0.784641 0.619950i \(-0.787153\pi\)
0.144572 + 0.989494i \(0.453820\pi\)
\(104\) 3.11694 + 1.81236i 0.305641 + 0.177717i
\(105\) −8.30202 + 0.252528i −0.810194 + 0.0246442i
\(106\) 1.19564 + 4.46218i 0.116130 + 0.433405i
\(107\) 5.66955i 0.548096i −0.961716 0.274048i \(-0.911637\pi\)
0.961716 0.274048i \(-0.0883627\pi\)
\(108\) 4.36901 + 2.81278i 0.420408 + 0.270660i
\(109\) −1.48202 5.53098i −0.141952 0.529772i −0.999872 0.0159889i \(-0.994910\pi\)
0.857920 0.513783i \(-0.171756\pi\)
\(110\) 1.58004 0.423372i 0.150651 0.0403669i
\(111\) 15.4699 + 7.51996i 1.46834 + 0.713763i
\(112\) −0.107711 + 2.64356i −0.0101777 + 0.249793i
\(113\) −8.49197 + 4.90284i −0.798857 + 0.461221i −0.843071 0.537802i \(-0.819255\pi\)
0.0442141 + 0.999022i \(0.485922\pi\)
\(114\) −2.15440 + 11.1619i −0.201778 + 1.04541i
\(115\) −0.645399 + 2.40866i −0.0601837 + 0.224609i
\(116\) −3.16110 + 5.47519i −0.293501 + 0.508358i
\(117\) −8.63571 6.51342i −0.798371 0.602166i
\(118\) −5.36255 −0.493663
\(119\) −0.709415 + 17.4112i −0.0650320 + 1.59608i
\(120\) 2.37199 + 2.05646i 0.216532 + 0.187728i
\(121\) −8.82089 5.09274i −0.801899 0.462976i
\(122\) −0.307621 + 0.0824267i −0.0278507 + 0.00746256i
\(123\) −18.0581 + 12.2150i −1.62824 + 1.10139i
\(124\) −4.57998 + 1.22720i −0.411295 + 0.110206i
\(125\) 8.60595 8.60595i 0.769740 0.769740i
\(126\) 1.26659 7.83554i 0.112837 0.698046i
\(127\) 12.3064 + 7.10513i 1.09202 + 0.630478i 0.934114 0.356976i \(-0.116192\pi\)
0.157907 + 0.987454i \(0.449525\pi\)
\(128\) 0.707107 0.707107i 0.0625000 0.0625000i
\(129\) 5.23512 6.03836i 0.460927 0.531648i
\(130\) −4.60673 4.63513i −0.404037 0.406528i
\(131\) 13.7422 7.93405i 1.20066 0.693201i 0.239958 0.970783i \(-0.422866\pi\)
0.960702 + 0.277582i \(0.0895330\pi\)
\(132\) 0.111097 + 1.55924i 0.00966972 + 0.135714i
\(133\) 16.9422 3.80777i 1.46907 0.330176i
\(134\) 0.780310 + 1.35154i 0.0674085 + 0.116755i
\(135\) −6.32945 6.97395i −0.544753 0.600222i
\(136\) 4.65721 4.65721i 0.399352 0.399352i
\(137\) −4.71149 + 4.71149i −0.402530 + 0.402530i −0.879124 0.476594i \(-0.841871\pi\)
0.476594 + 0.879124i \(0.341871\pi\)
\(138\) −2.14317 1.04180i −0.182439 0.0886840i
\(139\) −11.4175 19.7757i −0.968420 1.67735i −0.700133 0.714013i \(-0.746876\pi\)
−0.268287 0.963339i \(-0.586458\pi\)
\(140\) 1.42868 4.57762i 0.120746 0.386880i
\(141\) 6.41627 0.457164i 0.540348 0.0385001i
\(142\) 0.720015 0.415701i 0.0604223 0.0348848i
\(143\) 0.0100018 3.25402i 0.000836394 0.272115i
\(144\) −2.35916 + 1.85321i −0.196596 + 0.154434i
\(145\) 8.10267 8.10267i 0.672890 0.672890i
\(146\) 8.62857 + 4.98171i 0.714105 + 0.412289i
\(147\) −11.7430 + 3.01706i −0.968544 + 0.248843i
\(148\) −7.02220 + 7.02220i −0.577221 + 0.577221i
\(149\) −10.0818 + 2.70140i −0.825930 + 0.221307i −0.646938 0.762543i \(-0.723951\pi\)
−0.178993 + 0.983850i \(0.557284\pi\)
\(150\) 1.66420 + 2.46028i 0.135881 + 0.200881i
\(151\) −10.8111 + 2.89683i −0.879797 + 0.235741i −0.670319 0.742073i \(-0.733843\pi\)
−0.209477 + 0.977814i \(0.567176\pi\)
\(152\) −5.68397 3.28164i −0.461031 0.266176i
\(153\) −15.5381 + 12.2057i −1.25618 + 0.986776i
\(154\) 2.11479 1.10873i 0.170415 0.0893439i
\(155\) 8.59399 0.690286
\(156\) 5.18346 3.48306i 0.415009 0.278868i
\(157\) 4.24843 7.35849i 0.339061 0.587272i −0.645195 0.764018i \(-0.723224\pi\)
0.984256 + 0.176746i \(0.0565572\pi\)
\(158\) 2.02731 7.56603i 0.161284 0.601921i
\(159\) 7.85635 + 1.51638i 0.623049 + 0.120257i
\(160\) −1.56966 + 0.906243i −0.124092 + 0.0716448i
\(161\) −0.148189 + 3.63702i −0.0116790 + 0.286637i
\(162\) 7.68997 4.67593i 0.604181 0.367376i
\(163\) −16.2420 + 4.35204i −1.27218 + 0.340878i −0.830864 0.556476i \(-0.812153\pi\)
−0.441311 + 0.897354i \(0.645487\pi\)
\(164\) −3.25776 12.1581i −0.254389 0.949391i
\(165\) 0.536947 2.78191i 0.0418013 0.216572i
\(166\) 10.7428i 0.833806i
\(167\) −4.01048 14.9673i −0.310340 1.15821i −0.928250 0.371957i \(-0.878687\pi\)
0.617909 0.786249i \(-0.287980\pi\)
\(168\) 4.03646 + 2.16957i 0.311419 + 0.167386i
\(169\) −11.2981 + 6.43067i −0.869083 + 0.494667i
\(170\) −10.3382 + 5.96878i −0.792906 + 0.457784i
\(171\) 15.7562 + 11.8082i 1.20491 + 0.902994i
\(172\) 2.30702 + 3.99588i 0.175909 + 0.304683i
\(173\) −8.29585 + 14.3688i −0.630721 + 1.09244i 0.356683 + 0.934225i \(0.383908\pi\)
−0.987405 + 0.158216i \(0.949426\pi\)
\(174\) 6.13532 + 9.07020i 0.465118 + 0.687610i
\(175\) 2.42667 3.83370i 0.183439 0.289800i
\(176\) −0.871755 0.233586i −0.0657110 0.0176072i
\(177\) −4.06068 + 8.35354i −0.305220 + 0.627891i
\(178\) −13.1151 −0.983022
\(179\) 4.36543 + 7.56115i 0.326288 + 0.565147i 0.981772 0.190062i \(-0.0608689\pi\)
−0.655485 + 0.755209i \(0.727536\pi\)
\(180\) 4.99959 2.13776i 0.372648 0.159340i
\(181\) 12.7095i 0.944688i 0.881414 + 0.472344i \(0.156592\pi\)
−0.881414 + 0.472344i \(0.843408\pi\)
\(182\) −8.04461 5.12682i −0.596306 0.380025i
\(183\) −0.104539 + 0.541614i −0.00772773 + 0.0400373i
\(184\) 0.972841 0.972841i 0.0717188 0.0717188i
\(185\) 15.5881 8.99980i 1.14606 0.661678i
\(186\) −1.55642 + 8.06377i −0.114122 + 0.591264i
\(187\) −5.74162 1.53846i −0.419869 0.112504i
\(188\) −0.961209 + 3.58728i −0.0701034 + 0.261629i
\(189\) −11.2468 7.90635i −0.818082 0.575102i
\(190\) 8.41165 + 8.41165i 0.610245 + 0.610245i
\(191\) 4.87773 + 2.81616i 0.352940 + 0.203770i 0.665979 0.745970i \(-0.268014\pi\)
−0.313039 + 0.949740i \(0.601347\pi\)
\(192\) −0.566057 1.63694i −0.0408517 0.118136i
\(193\) 1.55380 5.79885i 0.111845 0.417410i −0.887187 0.461411i \(-0.847344\pi\)
0.999032 + 0.0440001i \(0.0140102\pi\)
\(194\) 4.41017 + 7.63863i 0.316631 + 0.548422i
\(195\) −10.7088 + 3.66630i −0.766870 + 0.262549i
\(196\) 0.569480 6.97680i 0.0406772 0.498343i
\(197\) 0.130081 0.0348552i 0.00926792 0.00248333i −0.254182 0.967156i \(-0.581806\pi\)
0.263450 + 0.964673i \(0.415140\pi\)
\(198\) 2.51303 + 1.00764i 0.178593 + 0.0716097i
\(199\) 15.4449i 1.09486i −0.836851 0.547431i \(-0.815606\pi\)
0.836851 0.547431i \(-0.184394\pi\)
\(200\) −1.65646 + 0.443847i −0.117129 + 0.0313847i
\(201\) 2.69624 0.192109i 0.190178 0.0135503i
\(202\) 2.41460 9.01142i 0.169891 0.634042i
\(203\) 8.94629 14.1335i 0.627906 0.991976i
\(204\) −3.72822 10.7814i −0.261027 0.754847i
\(205\) 22.8138i 1.59339i
\(206\) −7.24535 1.94138i −0.504807 0.135263i
\(207\) −3.24574 + 2.54965i −0.225595 + 0.177213i
\(208\) 0.922476 + 3.48555i 0.0639622 + 0.241679i
\(209\) 5.92341i 0.409731i
\(210\) −6.04898 5.69185i −0.417419 0.392775i
\(211\) 8.34474 14.4535i 0.574475 0.995020i −0.421623 0.906771i \(-0.638539\pi\)
0.996098 0.0882493i \(-0.0281272\pi\)
\(212\) −2.30979 + 4.00068i −0.158637 + 0.274768i
\(213\) −0.102344 1.43639i −0.00701248 0.0984197i
\(214\) 4.00898 4.00898i 0.274048 0.274048i
\(215\) −2.16448 8.07794i −0.147616 0.550911i
\(216\) 1.10042 + 5.07829i 0.0748740 + 0.345534i
\(217\) 12.2396 2.75087i 0.830880 0.186741i
\(218\) 2.86305 4.95894i 0.193910 0.335862i
\(219\) 14.2941 9.66891i 0.965905 0.653364i
\(220\) 1.41663 + 0.817891i 0.0955091 + 0.0551422i
\(221\) 6.07569 + 22.9568i 0.408695 + 1.54424i
\(222\) 5.62145 + 16.2563i 0.377287 + 1.09105i
\(223\) −4.88471 18.2300i −0.327105 1.22077i −0.912179 0.409791i \(-0.865602\pi\)
0.585075 0.810979i \(-0.301065\pi\)
\(224\) −1.94544 + 1.79311i −0.129985 + 0.119808i
\(225\) 5.09270 0.729420i 0.339513 0.0486280i
\(226\) −9.47156 2.53790i −0.630039 0.168818i
\(227\) 4.35833 + 4.35833i 0.289273 + 0.289273i 0.836793 0.547520i \(-0.184428\pi\)
−0.547520 + 0.836793i \(0.684428\pi\)
\(228\) −9.41607 + 6.36928i −0.623595 + 0.421816i
\(229\) −7.77816 + 29.0285i −0.513996 + 1.91826i −0.142609 + 0.989779i \(0.545549\pi\)
−0.371386 + 0.928479i \(0.621117\pi\)
\(230\) −2.15955 + 1.24681i −0.142396 + 0.0822125i
\(231\) −0.125744 4.13389i −0.00827332 0.271990i
\(232\) −6.10678 + 1.63631i −0.400930 + 0.107429i
\(233\) −2.90989 5.04008i −0.190633 0.330187i 0.754827 0.655924i \(-0.227721\pi\)
−0.945460 + 0.325737i \(0.894388\pi\)
\(234\) −1.50068 10.7120i −0.0981028 0.700268i
\(235\) 3.36563 5.82944i 0.219550 0.380271i
\(236\) −3.79190 3.79190i −0.246831 0.246831i
\(237\) −10.2509 8.88728i −0.665867 0.577291i
\(238\) −12.8132 + 11.8100i −0.830558 + 0.765526i
\(239\) −4.35751 4.35751i −0.281864 0.281864i 0.551988 0.833852i \(-0.313869\pi\)
−0.833852 + 0.551988i \(0.813869\pi\)
\(240\) 0.223113 + 3.13138i 0.0144019 + 0.202130i
\(241\) 5.45104 + 5.45104i 0.351132 + 0.351132i 0.860531 0.509399i \(-0.170132\pi\)
−0.509399 + 0.860531i \(0.670132\pi\)
\(242\) −2.63620 9.83842i −0.169461 0.632438i
\(243\) −1.46088 15.5199i −0.0937154 0.995599i
\(244\) −0.275805 0.159236i −0.0176566 0.0101941i
\(245\) −4.26986 + 11.9473i −0.272792 + 0.763287i
\(246\) −21.4063 4.13170i −1.36482 0.263428i
\(247\) 20.5301 11.7691i 1.30630 0.748849i
\(248\) −4.10630 2.37077i −0.260750 0.150544i
\(249\) −16.7347 8.13480i −1.06052 0.515522i
\(250\) 12.1707 0.769740
\(251\) −2.45017 4.24381i −0.154653 0.267867i 0.778280 0.627918i \(-0.216093\pi\)
−0.932933 + 0.360051i \(0.882759\pi\)
\(252\) 6.43618 4.64495i 0.405441 0.292604i
\(253\) −1.19936 0.321369i −0.0754034 0.0202043i
\(254\) 3.67789 + 13.7261i 0.230771 + 0.861249i
\(255\) 1.46949 + 20.6242i 0.0920228 + 1.29154i
\(256\) 1.00000 0.0625000
\(257\) 22.1351 1.38075 0.690375 0.723452i \(-0.257446\pi\)
0.690375 + 0.723452i \(0.257446\pi\)
\(258\) 7.97156 0.567979i 0.496287 0.0353608i
\(259\) 19.3200 17.8072i 1.20048 1.10649i
\(260\) 0.0200864 6.53498i 0.00124571 0.405282i
\(261\) 18.7750 2.68912i 1.16214 0.166452i
\(262\) 15.3274 + 4.10697i 0.946931 + 0.253729i
\(263\) 14.2409 8.22199i 0.878131 0.506989i 0.00808956 0.999967i \(-0.497425\pi\)
0.870042 + 0.492978i \(0.164092\pi\)
\(264\) −1.02399 + 1.18110i −0.0630221 + 0.0726919i
\(265\) 5.92056 5.92056i 0.363697 0.363697i
\(266\) 14.6724 + 9.28744i 0.899625 + 0.569449i
\(267\) −9.93118 + 20.4302i −0.607778 + 1.25031i
\(268\) −0.403918 + 1.50744i −0.0246732 + 0.0920817i
\(269\) 8.80178i 0.536654i 0.963328 + 0.268327i \(0.0864708\pi\)
−0.963328 + 0.268327i \(0.913529\pi\)
\(270\) 0.455725 9.40693i 0.0277346 0.572487i
\(271\) 16.4390 + 16.4390i 0.998598 + 0.998598i 0.999999 0.00140113i \(-0.000445993\pi\)
−0.00140113 + 0.999999i \(0.500446\pi\)
\(272\) 6.58628 0.399352
\(273\) −14.0779 + 8.64935i −0.852036 + 0.523483i
\(274\) −6.66305 −0.402530
\(275\) 1.09439 + 1.09439i 0.0659942 + 0.0659942i
\(276\) −0.778785 2.25211i −0.0468773 0.135561i
\(277\) 8.79047i 0.528168i 0.964500 + 0.264084i \(0.0850697\pi\)
−0.964500 + 0.264084i \(0.914930\pi\)
\(278\) 5.91013 22.0569i 0.354466 1.32289i
\(279\) 11.3828 + 8.53064i 0.681471 + 0.510716i
\(280\) 4.24710 2.22664i 0.253813 0.133067i
\(281\) −5.77940 + 5.77940i −0.344770 + 0.344770i −0.858157 0.513387i \(-0.828391\pi\)
0.513387 + 0.858157i \(0.328391\pi\)
\(282\) 4.86025 + 4.21373i 0.289424 + 0.250924i
\(283\) 15.8077 9.12659i 0.939671 0.542520i 0.0498142 0.998759i \(-0.484137\pi\)
0.889857 + 0.456239i \(0.150804\pi\)
\(284\) 0.803072 + 0.215183i 0.0476536 + 0.0127687i
\(285\) 19.4728 6.73375i 1.15347 0.398873i
\(286\) 2.30801 2.29387i 0.136476 0.135639i
\(287\) 7.30252 + 32.4916i 0.431054 + 1.91792i
\(288\) −2.97859 0.357762i −0.175515 0.0210813i
\(289\) 26.3791 1.55171
\(290\) 11.4589 0.672890
\(291\) 15.2386 1.08576i 0.893304 0.0636486i
\(292\) 2.57872 + 9.62392i 0.150908 + 0.563197i
\(293\) 3.68965 + 0.988640i 0.215552 + 0.0577570i 0.364979 0.931016i \(-0.381076\pi\)
−0.149427 + 0.988773i \(0.547743\pi\)
\(294\) −10.4369 6.17015i −0.608693 0.359850i
\(295\) 4.85978 + 8.41738i 0.282947 + 0.490079i
\(296\) −9.93089 −0.577221
\(297\) 3.47260 3.15168i 0.201501 0.182879i
\(298\) −9.03906 5.21871i −0.523619 0.302312i
\(299\) 1.26915 + 4.79543i 0.0733967 + 0.277327i
\(300\) −0.562915 + 2.91645i −0.0324999 + 0.168381i
\(301\) −5.66835 10.8118i −0.326718 0.623184i
\(302\) −9.69299 5.59625i −0.557769 0.322028i
\(303\) −12.2092 10.5851i −0.701400 0.608097i
\(304\) −1.69870 6.33965i −0.0974273 0.363604i
\(305\) 0.408161 + 0.408161i 0.0233712 + 0.0233712i
\(306\) −19.6178 2.35632i −1.12148 0.134702i
\(307\) 11.9104 + 11.9104i 0.679761 + 0.679761i 0.959946 0.280185i \(-0.0903959\pi\)
−0.280185 + 0.959946i \(0.590396\pi\)
\(308\) 2.27937 + 0.711396i 0.129879 + 0.0405355i
\(309\) −8.51059 + 9.81640i −0.484151 + 0.558436i
\(310\) 6.07687 + 6.07687i 0.345143 + 0.345143i
\(311\) 12.1481 21.0411i 0.688853 1.19313i −0.283356 0.959015i \(-0.591448\pi\)
0.972209 0.234114i \(-0.0752190\pi\)
\(312\) 6.12816 + 1.20237i 0.346939 + 0.0680706i
\(313\) −7.76181 13.4438i −0.438723 0.759891i 0.558868 0.829257i \(-0.311236\pi\)
−0.997591 + 0.0693657i \(0.977902\pi\)
\(314\) 8.20733 2.19915i 0.463166 0.124105i
\(315\) −13.4470 + 5.11279i −0.757651 + 0.288073i
\(316\) 6.78352 3.91647i 0.381603 0.220319i
\(317\) −6.90434 + 25.7673i −0.387786 + 1.44724i 0.445941 + 0.895062i \(0.352869\pi\)
−0.833728 + 0.552176i \(0.813798\pi\)
\(318\) 4.48304 + 6.62752i 0.251396 + 0.371653i
\(319\) 4.03463 + 4.03463i 0.225896 + 0.225896i
\(320\) −1.75073 0.469106i −0.0978687 0.0262238i
\(321\) −3.20929 9.28072i −0.179125 0.517999i
\(322\) −2.67655 + 2.46698i −0.149158 + 0.137479i
\(323\) −11.1881 41.7547i −0.622525 2.32329i
\(324\) 8.74401 + 2.13125i 0.485779 + 0.118403i
\(325\) 1.61866 5.96750i 0.0897872 0.331017i
\(326\) −14.5622 8.40750i −0.806527 0.465648i
\(327\) −5.55684 8.21498i −0.307294 0.454290i
\(328\) 6.29352 10.9007i 0.347501 0.601890i
\(329\) 2.92740 9.37965i 0.161393 0.517117i
\(330\) 2.34679 1.58743i 0.129186 0.0873852i
\(331\) 3.30758 + 12.3441i 0.181801 + 0.678490i 0.995293 + 0.0969140i \(0.0308972\pi\)
−0.813492 + 0.581576i \(0.802436\pi\)
\(332\) 7.59633 7.59633i 0.416903 0.416903i
\(333\) 29.5801 + 3.55289i 1.62098 + 0.194697i
\(334\) 7.74766 13.4193i 0.423933 0.734273i
\(335\) 1.41430 2.44964i 0.0772715 0.133838i
\(336\) 1.32009 + 4.38832i 0.0720168 + 0.239403i
\(337\) 6.18136i 0.336720i 0.985726 + 0.168360i \(0.0538471\pi\)
−0.985726 + 0.168360i \(0.946153\pi\)
\(338\) −12.5361 3.44178i −0.681875 0.187208i
\(339\) −11.1256 + 12.8326i −0.604258 + 0.696972i
\(340\) −11.5308 3.08967i −0.625345 0.167561i
\(341\) 4.27928i 0.231736i
\(342\) 2.79166 + 19.4909i 0.150956 + 1.05395i
\(343\) −2.25693 + 18.3822i −0.121863 + 0.992547i
\(344\) −1.19420 + 4.45683i −0.0643871 + 0.240296i
\(345\) 0.306960 + 4.30817i 0.0165262 + 0.231944i
\(346\) −16.0263 + 4.29425i −0.861582 + 0.230860i
\(347\) 9.99643i 0.536637i −0.963330 0.268318i \(-0.913532\pi\)
0.963330 0.268318i \(-0.0864679\pi\)
\(348\) −2.07527 + 10.7519i −0.111246 + 0.576364i
\(349\) −20.8799 + 5.59475i −1.11768 + 0.299480i −0.769943 0.638113i \(-0.779715\pi\)
−0.347733 + 0.937594i \(0.613048\pi\)
\(350\) 4.42675 0.994915i 0.236620 0.0531805i
\(351\) −17.8231 5.77378i −0.951328 0.308182i
\(352\) −0.451253 0.781594i −0.0240519 0.0416591i
\(353\) 2.78201 10.3826i 0.148071 0.552609i −0.851528 0.524309i \(-0.824324\pi\)
0.999599 0.0283006i \(-0.00900957\pi\)
\(354\) −8.77818 + 3.03551i −0.466555 + 0.161336i
\(355\) −1.30502 0.753452i −0.0692632 0.0399891i
\(356\) −9.27381 9.27381i −0.491511 0.491511i
\(357\) 8.69448 + 28.9027i 0.460161 + 1.52969i
\(358\) −2.25971 + 8.43336i −0.119430 + 0.445717i
\(359\) 21.8831 + 5.86355i 1.15494 + 0.309466i 0.784945 0.619566i \(-0.212691\pi\)
0.369999 + 0.929032i \(0.379358\pi\)
\(360\) 5.04687 + 2.02362i 0.265994 + 0.106654i
\(361\) −20.8511 + 12.0384i −1.09742 + 0.633598i
\(362\) −8.98696 + 8.98696i −0.472344 + 0.472344i
\(363\) −17.3221 3.34339i −0.909172 0.175483i
\(364\) −2.06319 9.31361i −0.108140 0.488166i
\(365\) 18.0586i 0.945228i
\(366\) −0.456899 + 0.309059i −0.0238825 + 0.0161548i
\(367\) 1.94294 + 3.36526i 0.101420 + 0.175665i 0.912270 0.409589i \(-0.134328\pi\)
−0.810850 + 0.585255i \(0.800995\pi\)
\(368\) 1.37581 0.0717188
\(369\) −22.6457 + 30.2171i −1.17889 + 1.57304i
\(370\) 17.3863 + 4.65864i 0.903870 + 0.242191i
\(371\) 6.53699 10.3272i 0.339383 0.536163i
\(372\) −6.80250 + 4.60139i −0.352693 + 0.238571i
\(373\) −3.70760 + 6.42175i −0.191972 + 0.332506i −0.945904 0.324447i \(-0.894822\pi\)
0.753932 + 0.656953i \(0.228155\pi\)
\(374\) −2.97208 5.14780i −0.153683 0.266186i
\(375\) 9.21598 18.9589i 0.475911 0.979034i
\(376\) −3.21627 + 1.85691i −0.165866 + 0.0957630i
\(377\) 5.96743 22.0001i 0.307338 1.13306i
\(378\) −2.36203 13.5433i −0.121490 0.696592i
\(379\) −2.47437 9.23446i −0.127100 0.474342i 0.872806 0.488067i \(-0.162298\pi\)
−0.999906 + 0.0137247i \(0.995631\pi\)
\(380\) 11.8959i 0.610245i
\(381\) 24.1668 + 4.66453i 1.23811 + 0.238971i
\(382\) 1.45775 + 5.44040i 0.0745850 + 0.278355i
\(383\) −20.4641 + 5.48334i −1.04567 + 0.280186i −0.740460 0.672101i \(-0.765392\pi\)
−0.305207 + 0.952286i \(0.598726\pi\)
\(384\) 0.757230 1.55776i 0.0386422 0.0794939i
\(385\) −3.65684 2.31473i −0.186370 0.117970i
\(386\) 5.19911 3.00171i 0.264628 0.152783i
\(387\) 5.15153 12.8478i 0.261867 0.653092i
\(388\) −2.28287 + 8.51978i −0.115895 + 0.432527i
\(389\) 15.6838 27.1652i 0.795202 1.37733i −0.127509 0.991837i \(-0.540698\pi\)
0.922711 0.385493i \(-0.125969\pi\)
\(390\) −10.1647 4.97977i −0.514710 0.252161i
\(391\) 9.06144 0.458257
\(392\) 5.33602 4.53066i 0.269510 0.228833i
\(393\) 18.0040 20.7665i 0.908183 1.04753i
\(394\) 0.116628 + 0.0673351i 0.00587562 + 0.00339229i
\(395\) −13.7133 + 3.67448i −0.689993 + 0.184883i
\(396\) 1.06448 + 2.48949i 0.0534919 + 0.125102i
\(397\) −25.4057 + 6.80743i −1.27507 + 0.341655i −0.831973 0.554817i \(-0.812788\pi\)
−0.443101 + 0.896472i \(0.646122\pi\)
\(398\) 10.9212 10.9212i 0.547431 0.547431i
\(399\) 25.5780 15.8234i 1.28050 0.792159i
\(400\) −1.48514 0.857446i −0.0742570 0.0428723i
\(401\) −4.40472 + 4.40472i −0.219961 + 0.219961i −0.808482 0.588521i \(-0.799711\pi\)
0.588521 + 0.808482i \(0.299711\pi\)
\(402\) 2.04237 + 1.77069i 0.101864 + 0.0883138i
\(403\) 14.8317 8.50240i 0.738818 0.423535i
\(404\) 8.07942 4.66466i 0.401966 0.232075i
\(405\) −14.3086 7.83311i −0.711000 0.389230i
\(406\) 16.3199 3.66790i 0.809941 0.182035i
\(407\) 4.48135 + 7.76192i 0.222132 + 0.384744i
\(408\) 4.98733 10.2598i 0.246910 0.507937i
\(409\) −7.84266 + 7.84266i −0.387794 + 0.387794i −0.873900 0.486106i \(-0.838417\pi\)
0.486106 + 0.873900i \(0.338417\pi\)
\(410\) −16.1318 + 16.1318i −0.796694 + 0.796694i
\(411\) −5.04546 + 10.3794i −0.248874 + 0.511978i
\(412\) −3.75047 6.49600i −0.184772 0.320035i
\(413\) 9.61567 + 10.4325i 0.473156 + 0.513351i
\(414\) −4.09796 0.492210i −0.201404 0.0241908i
\(415\) −16.8626 + 9.73563i −0.827752 + 0.477903i
\(416\) −1.81236 + 3.11694i −0.0888585 + 0.152821i
\(417\) −29.8840 25.9087i −1.46342 1.26875i
\(418\) −4.18848 + 4.18848i −0.204865 + 0.204865i
\(419\) −17.9840 10.3830i −0.878574 0.507245i −0.00838623 0.999965i \(-0.502669\pi\)
−0.870188 + 0.492720i \(0.836003\pi\)
\(420\) −0.252528 8.30202i −0.0123221 0.405097i
\(421\) −4.07675 + 4.07675i −0.198689 + 0.198689i −0.799438 0.600749i \(-0.794869\pi\)
0.600749 + 0.799438i \(0.294869\pi\)
\(422\) 16.1208 4.31955i 0.784748 0.210273i
\(423\) 10.2443 4.38033i 0.498094 0.212979i
\(424\) −4.46218 + 1.19564i −0.216702 + 0.0580652i
\(425\) −9.78155 5.64738i −0.474475 0.273938i
\(426\) 0.943312 1.08805i 0.0457036 0.0527161i
\(427\) 0.711955 + 0.450657i 0.0344539 + 0.0218088i
\(428\) 5.66955 0.274048
\(429\) −1.82559 5.33230i −0.0881403 0.257446i
\(430\) 4.18145 7.24249i 0.201647 0.349264i
\(431\) 6.27842 23.4314i 0.302421 1.12865i −0.632722 0.774379i \(-0.718063\pi\)
0.935143 0.354271i \(-0.115271\pi\)
\(432\) −2.81278 + 4.36901i −0.135330 + 0.210204i
\(433\) −5.95281 + 3.43686i −0.286074 + 0.165165i −0.636170 0.771549i \(-0.719482\pi\)
0.350096 + 0.936714i \(0.386149\pi\)
\(434\) 10.5999 + 6.70957i 0.508811 + 0.322070i
\(435\) 8.67702 17.8502i 0.416031 0.855850i
\(436\) 5.53098 1.48202i 0.264886 0.0709760i
\(437\) −2.33708 8.72212i −0.111798 0.417236i
\(438\) 16.9444 + 3.27050i 0.809635 + 0.156270i
\(439\) 9.75835i 0.465741i −0.972508 0.232870i \(-0.925188\pi\)
0.972508 0.232870i \(-0.0748118\pi\)
\(440\) 0.423372 + 1.58004i 0.0201834 + 0.0753256i
\(441\) −17.5147 + 11.5860i −0.834035 + 0.551712i
\(442\) −11.9367 + 20.5291i −0.567773 + 0.976468i
\(443\) −34.0695 + 19.6700i −1.61869 + 0.934552i −0.631431 + 0.775432i \(0.717532\pi\)
−0.987259 + 0.159120i \(0.949134\pi\)
\(444\) −7.51996 + 15.4699i −0.356882 + 0.734169i
\(445\) 11.8855 + 20.5863i 0.563428 + 0.975885i
\(446\) 9.43654 16.3446i 0.446833 0.773938i
\(447\) −14.9741 + 10.1289i −0.708251 + 0.479080i
\(448\) −2.64356 0.107711i −0.124896 0.00508887i
\(449\) 21.0377 + 5.63704i 0.992831 + 0.266028i 0.718439 0.695590i \(-0.244857\pi\)
0.274392 + 0.961618i \(0.411524\pi\)
\(450\) 4.11686 + 3.08531i 0.194071 + 0.145443i
\(451\) −11.3599 −0.534916
\(452\) −4.90284 8.49197i −0.230610 0.399429i
\(453\) −16.0574 + 10.8617i −0.754443 + 0.510325i
\(454\) 6.16361i 0.289273i
\(455\) −0.756989 + 17.2734i −0.0354882 + 0.809792i
\(456\) −11.1619 2.15440i −0.522705 0.100889i
\(457\) −6.60616 + 6.60616i −0.309023 + 0.309023i −0.844530 0.535507i \(-0.820120\pi\)
0.535507 + 0.844530i \(0.320120\pi\)
\(458\) −26.0262 + 15.0263i −1.21613 + 0.702131i
\(459\) −18.5258 + 28.7755i −0.864710 + 1.34313i
\(460\) −2.40866 0.645399i −0.112304 0.0300919i
\(461\) 5.29013 19.7430i 0.246386 0.919524i −0.726296 0.687382i \(-0.758760\pi\)
0.972682 0.232142i \(-0.0745735\pi\)
\(462\) 2.83419 3.01202i 0.131858 0.140132i
\(463\) −6.55850 6.55850i −0.304799 0.304799i 0.538089 0.842888i \(-0.319146\pi\)
−0.842888 + 0.538089i \(0.819146\pi\)
\(464\) −5.47519 3.16110i −0.254179 0.146750i
\(465\) 14.0679 4.86469i 0.652382 0.225595i
\(466\) 1.50627 5.62148i 0.0697767 0.260410i
\(467\) 13.9409 + 24.1463i 0.645106 + 1.11736i 0.984277 + 0.176631i \(0.0565201\pi\)
−0.339171 + 0.940725i \(0.610147\pi\)
\(468\) 6.51342 8.63571i 0.301083 0.399186i
\(469\) 1.23015 3.94150i 0.0568030 0.182002i
\(470\) 6.50190 1.74218i 0.299910 0.0803607i
\(471\) 2.78910 14.4503i 0.128515 0.665834i
\(472\) 5.36255i 0.246831i
\(473\) 4.02232 1.07778i 0.184946 0.0495562i
\(474\) −0.964217 13.5327i −0.0442880 0.621579i
\(475\) −2.91309 + 10.8718i −0.133662 + 0.498833i
\(476\) −17.4112 0.709415i −0.798042 0.0325160i
\(477\) 13.7188 1.96492i 0.628139 0.0899674i
\(478\) 6.16245i 0.281864i
\(479\) 20.8026 + 5.57403i 0.950494 + 0.254684i 0.700572 0.713582i \(-0.252928\pi\)
0.249922 + 0.968266i \(0.419595\pi\)
\(480\) −2.05646 + 2.37199i −0.0938639 + 0.108266i
\(481\) 17.9984 30.9540i 0.820656 1.41138i
\(482\) 7.70893i 0.351132i
\(483\) 1.81619 + 6.03748i 0.0826393 + 0.274715i
\(484\) 5.09274 8.82089i 0.231488 0.400949i
\(485\) 7.99337 13.8449i 0.362960 0.628665i
\(486\) 9.94120 12.0072i 0.450942 0.544657i
\(487\) 5.64284 5.64284i 0.255702 0.255702i −0.567602 0.823303i \(-0.692129\pi\)
0.823303 + 0.567602i \(0.192129\pi\)
\(488\) −0.0824267 0.307621i −0.00373128 0.0139253i
\(489\) −24.1238 + 16.3180i −1.09092 + 0.737924i
\(490\) −11.4673 + 5.42879i −0.518039 + 0.245248i
\(491\) 1.14945 1.99091i 0.0518741 0.0898485i −0.838922 0.544251i \(-0.816814\pi\)
0.890796 + 0.454403i \(0.150147\pi\)
\(492\) −12.2150 18.0581i −0.550694 0.814122i
\(493\) −36.0611 20.8199i −1.62411 0.937681i
\(494\) 22.8390 + 6.19499i 1.02757 + 0.278726i
\(495\) −0.695772 4.85777i −0.0312726 0.218341i
\(496\) −1.22720 4.57998i −0.0551030 0.205647i
\(497\) −2.09979 0.655347i −0.0941885 0.0293964i
\(498\) −6.08106 17.5854i −0.272499 0.788021i
\(499\) −16.0767 4.30774i −0.719692 0.192841i −0.119658 0.992815i \(-0.538180\pi\)
−0.600034 + 0.799974i \(0.704846\pi\)
\(500\) 8.60595 + 8.60595i 0.384870 + 0.384870i
\(501\) −15.0373 22.2305i −0.671817 0.993185i
\(502\) 1.26830 4.73336i 0.0566070 0.211260i
\(503\) −1.59511 + 0.920936i −0.0711223 + 0.0410625i −0.535139 0.844764i \(-0.679741\pi\)
0.464017 + 0.885826i \(0.346408\pi\)
\(504\) 7.83554 + 1.26659i 0.349023 + 0.0564184i
\(505\) −16.3331 + 4.37644i −0.726813 + 0.194749i
\(506\) −0.620837 1.07532i −0.0275996 0.0478039i
\(507\) −14.8542 + 16.9220i −0.659697 + 0.751532i
\(508\) −7.10513 + 12.3064i −0.315239 + 0.546010i
\(509\) −17.9700 17.9700i −0.796508 0.796508i 0.186035 0.982543i \(-0.440436\pi\)
−0.982543 + 0.186035i \(0.940436\pi\)
\(510\) −13.5444 + 15.6226i −0.599756 + 0.691779i
\(511\) −5.78040 25.7191i −0.255710 1.13775i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) 32.4761 + 10.4104i 1.43385 + 0.459630i
\(514\) 15.6519 + 15.6519i 0.690375 + 0.690375i
\(515\) 3.51873 + 13.1321i 0.155054 + 0.578669i
\(516\) 6.03836 + 5.23512i 0.265824 + 0.230463i
\(517\) 2.90271 + 1.67588i 0.127661 + 0.0737050i
\(518\) 26.2529 + 1.06967i 1.15348 + 0.0469984i
\(519\) −5.44624 + 28.2169i −0.239063 + 1.23858i
\(520\) 4.63513 4.60673i 0.203264 0.202018i
\(521\) 12.5241 + 7.23078i 0.548690 + 0.316786i 0.748593 0.663029i \(-0.230730\pi\)
−0.199904 + 0.979816i \(0.564063\pi\)
\(522\) 15.1774 + 11.3744i 0.664298 + 0.497846i
\(523\) −32.5454 −1.42311 −0.711555 0.702630i \(-0.752009\pi\)
−0.711555 + 0.702630i \(0.752009\pi\)
\(524\) 7.93405 + 13.7422i 0.346601 + 0.600330i
\(525\) 1.80223 7.64917i 0.0786558 0.333837i
\(526\) 15.8837 + 4.25601i 0.692560 + 0.185571i
\(527\) −8.08270 30.1651i −0.352088 1.31401i
\(528\) −1.55924 + 0.111097i −0.0678570 + 0.00483486i
\(529\) −21.1072 −0.917703
\(530\) 8.37294 0.363697
\(531\) −1.91852 + 15.9728i −0.0832565 + 0.693163i
\(532\) 3.80777 + 16.9422i 0.165088 + 0.734537i
\(533\) 22.5707 + 39.3726i 0.977645 + 1.70541i
\(534\) −21.4687 + 7.42393i −0.929043 + 0.321265i
\(535\) −9.92583 2.65962i −0.429131 0.114985i
\(536\) −1.35154 + 0.780310i −0.0583775 + 0.0337042i
\(537\) 11.4260 + 9.90607i 0.493068 + 0.427479i
\(538\) −6.22380 + 6.22380i −0.268327 + 0.268327i
\(539\) −5.94903 2.12613i −0.256243 0.0915789i
\(540\) 6.97395 6.32945i 0.300111 0.272376i
\(541\) 7.08807 26.4530i 0.304740 1.13731i −0.628429 0.777867i \(-0.716302\pi\)
0.933169 0.359438i \(-0.117032\pi\)
\(542\) 23.2483i 0.998598i
\(543\) 7.19430 + 20.8047i 0.308737 + 0.892815i
\(544\) 4.65721 + 4.65721i 0.199676 + 0.199676i
\(545\) −10.3785 −0.444565
\(546\) −16.0706 3.83860i −0.687760 0.164277i
\(547\) 21.0848 0.901523 0.450761 0.892645i \(-0.351153\pi\)
0.450761 + 0.892645i \(0.351153\pi\)
\(548\) −4.71149 4.71149i −0.201265 0.201265i
\(549\) 0.135461 + 0.945766i 0.00578132 + 0.0403643i
\(550\) 1.54770i 0.0659942i
\(551\) −10.7395 + 40.0805i −0.457520 + 1.70749i
\(552\) 1.04180 2.14317i 0.0443420 0.0912193i
\(553\) −18.3545 + 9.62275i −0.780512 + 0.409201i
\(554\) −6.21580 + 6.21580i −0.264084 + 0.264084i
\(555\) 20.4224 23.5559i 0.866884 0.999893i
\(556\) 19.7757 11.4175i 0.838676 0.484210i
\(557\) 11.5621 + 3.09805i 0.489901 + 0.131268i 0.495309 0.868717i \(-0.335055\pi\)
−0.00540830 + 0.999985i \(0.501722\pi\)
\(558\) 2.01679 + 14.0809i 0.0853776 + 0.596094i
\(559\) −11.7273 11.7997i −0.496014 0.499073i
\(560\) 4.57762 + 1.42868i 0.193440 + 0.0603728i
\(561\) −10.2696 + 0.731714i −0.433581 + 0.0308930i
\(562\) −8.17331 −0.344770
\(563\) −47.0112 −1.98129 −0.990644 0.136475i \(-0.956423\pi\)
−0.990644 + 0.136475i \(0.956423\pi\)
\(564\) 0.457164 + 6.41627i 0.0192501 + 0.270174i
\(565\) 4.59991 + 17.1671i 0.193520 + 0.722225i
\(566\) 17.6312 + 4.72427i 0.741096 + 0.198576i
\(567\) −22.8857 6.57591i −0.961111 0.276162i
\(568\) 0.415701 + 0.720015i 0.0174424 + 0.0302112i
\(569\) 4.26338 0.178730 0.0893650 0.995999i \(-0.471516\pi\)
0.0893650 + 0.995999i \(0.471516\pi\)
\(570\) 18.5309 + 9.00791i 0.776172 + 0.377300i
\(571\) 9.82900 + 5.67478i 0.411331 + 0.237482i 0.691361 0.722509i \(-0.257011\pi\)
−0.280031 + 0.959991i \(0.590345\pi\)
\(572\) 3.25402 + 0.0100018i 0.136057 + 0.000418197i
\(573\) 9.57867 + 1.84881i 0.400155 + 0.0772353i
\(574\) −17.8114 + 28.1387i −0.743433 + 1.17449i
\(575\) −2.04326 1.17968i −0.0852099 0.0491960i
\(576\) −1.85321 2.35916i −0.0772169 0.0982982i
\(577\) 5.42876 + 20.2604i 0.226002 + 0.843452i 0.982001 + 0.188878i \(0.0604851\pi\)
−0.755998 + 0.654574i \(0.772848\pi\)
\(578\) 18.6529 + 18.6529i 0.775857 + 0.775857i
\(579\) −0.739007 10.3719i −0.0307121 0.431042i
\(580\) 8.10267 + 8.10267i 0.336445 + 0.336445i
\(581\) −20.8996 + 19.2631i −0.867060 + 0.799170i
\(582\) 11.5431 + 10.0076i 0.478476 + 0.414828i
\(583\) 2.94807 + 2.94807i 0.122097 + 0.122097i
\(584\) −4.98171 + 8.62857i −0.206144 + 0.357053i
\(585\) −15.4543 + 12.0633i −0.638956 + 0.498756i
\(586\) 1.90991 + 3.30805i 0.0788975 + 0.136654i
\(587\) 23.1964 6.21546i 0.957419 0.256540i 0.253911 0.967227i \(-0.418283\pi\)
0.703508 + 0.710688i \(0.251616\pi\)
\(588\) −3.01706 11.7430i −0.124422 0.484272i
\(589\) −26.9508 + 15.5601i −1.11049 + 0.641141i
\(590\) −2.51561 + 9.38837i −0.103566 + 0.386513i
\(591\) 0.193206 0.130690i 0.00794742 0.00537585i
\(592\) −7.02220 7.02220i −0.288611 0.288611i
\(593\) −3.62674 0.971782i −0.148932 0.0399063i 0.183583 0.983004i \(-0.441231\pi\)
−0.332515 + 0.943098i \(0.607897\pi\)
\(594\) 4.68407 + 0.226923i 0.192190 + 0.00931077i
\(595\) 30.1495 + 9.40970i 1.23601 + 0.385760i
\(596\) −2.70140 10.0818i −0.110654 0.412965i
\(597\) −8.74272 25.2825i −0.357816 1.03474i
\(598\) −2.49346 + 4.28831i −0.101965 + 0.175362i
\(599\) 6.17618 + 3.56582i 0.252352 + 0.145695i 0.620841 0.783937i \(-0.286791\pi\)
−0.368489 + 0.929632i \(0.620125\pi\)
\(600\) −2.46028 + 1.66420i −0.100441 + 0.0679407i
\(601\) −19.7330 + 34.1785i −0.804924 + 1.39417i 0.111418 + 0.993774i \(0.464461\pi\)
−0.916342 + 0.400396i \(0.868872\pi\)
\(602\) 3.63700 11.6533i 0.148233 0.474951i
\(603\) 4.30484 1.84070i 0.175307 0.0749589i
\(604\) −2.89683 10.8111i −0.117870 0.439898i
\(605\) −13.0539 + 13.0539i −0.530718 + 0.530718i
\(606\) −1.14842 16.1180i −0.0466513 0.654748i
\(607\) 3.08875 5.34988i 0.125369 0.217145i −0.796508 0.604628i \(-0.793322\pi\)
0.921877 + 0.387483i \(0.126655\pi\)
\(608\) 3.28164 5.68397i 0.133088 0.230516i
\(609\) 6.64419 28.1998i 0.269236 1.14271i
\(610\) 0.577227i 0.0233712i
\(611\) 0.0411576 13.3903i 0.00166506 0.541715i
\(612\) −12.2057 15.5381i −0.493388 0.628090i
\(613\) 9.44086 + 2.52967i 0.381313 + 0.102172i 0.444384 0.895837i \(-0.353423\pi\)
−0.0630708 + 0.998009i \(0.520089\pi\)
\(614\) 16.8438i 0.679761i
\(615\) 12.9139 + 37.3449i 0.520740 + 1.50589i
\(616\) 1.10873 + 2.11479i 0.0446719 + 0.0852075i
\(617\) 1.15991 4.32885i 0.0466963 0.174273i −0.938639 0.344900i \(-0.887913\pi\)
0.985336 + 0.170627i \(0.0545794\pi\)
\(618\) −12.9591 + 0.923348i −0.521293 + 0.0371425i
\(619\) −42.6846 + 11.4373i −1.71564 + 0.459704i −0.976796 0.214173i \(-0.931294\pi\)
−0.738843 + 0.673878i \(0.764628\pi\)
\(620\) 8.59399i 0.345143i
\(621\) −3.86984 + 6.01091i −0.155291 + 0.241209i
\(622\) 23.4683 6.28830i 0.940991 0.252138i
\(623\) 23.5170 + 25.5147i 0.942187 + 1.02223i
\(624\) 3.48306 + 5.18346i 0.139434 + 0.207505i
\(625\) −6.74235 11.6781i −0.269694 0.467123i
\(626\) 4.01781 14.9947i 0.160584 0.599307i
\(627\) 3.35299 + 9.69628i 0.133906 + 0.387232i
\(628\) 7.35849 + 4.24843i 0.293636 + 0.169531i
\(629\) −46.2502 46.2502i −1.84412 1.84412i
\(630\) −13.1237 5.89316i −0.522862 0.234789i
\(631\) 5.66403 21.1384i 0.225481 0.841508i −0.756730 0.653728i \(-0.773204\pi\)
0.982211 0.187780i \(-0.0601292\pi\)
\(632\) 7.56603 + 2.02731i 0.300961 + 0.0806422i
\(633\) 5.47833 28.3832i 0.217744 1.12813i
\(634\) −23.1024 + 13.3382i −0.917512 + 0.529726i
\(635\) 18.2122 18.2122i 0.722728 0.722728i
\(636\) −1.51638 + 7.85635i −0.0601285 + 0.311525i
\(637\) 4.45098 + 24.8433i 0.176354 + 0.984327i
\(638\) 5.70583i 0.225896i
\(639\) −0.980609 2.29335i −0.0387923 0.0907236i
\(640\) −0.906243 1.56966i −0.0358224 0.0620462i
\(641\) −45.5041 −1.79731 −0.898653 0.438661i \(-0.855453\pi\)
−0.898653 + 0.438661i \(0.855453\pi\)
\(642\) 4.29315 8.83177i 0.169437 0.348562i
\(643\) 18.4734 + 4.94992i 0.728518 + 0.195206i 0.603969 0.797008i \(-0.293585\pi\)
0.124549 + 0.992213i \(0.460252\pi\)
\(644\) −3.63702 0.148189i −0.143319 0.00583948i
\(645\) −8.11571 11.9979i −0.319556 0.472417i
\(646\) 21.6138 37.4363i 0.850385 1.47291i
\(647\) −6.77867 11.7410i −0.266497 0.461587i 0.701458 0.712711i \(-0.252533\pi\)
−0.967955 + 0.251124i \(0.919200\pi\)
\(648\) 4.67593 + 7.68997i 0.183688 + 0.302091i
\(649\) −4.19134 + 2.41987i −0.164524 + 0.0949882i
\(650\) 5.36422 3.07509i 0.210402 0.120615i
\(651\) 18.4784 11.4313i 0.724226 0.448030i
\(652\) −4.35204 16.2420i −0.170439 0.636088i
\(653\) 7.89746i 0.309052i 0.987989 + 0.154526i \(0.0493850\pi\)
−0.987989 + 0.154526i \(0.950615\pi\)
\(654\) 1.87959 9.73815i 0.0734980 0.380792i
\(655\) −7.44383 27.7807i −0.290854 1.08548i
\(656\) 12.1581 3.25776i 0.474696 0.127194i
\(657\) 17.9254 23.9187i 0.699338 0.933158i
\(658\) 8.70240 4.56243i 0.339255 0.177862i
\(659\) −27.0573 + 15.6216i −1.05400 + 0.608530i −0.923768 0.382953i \(-0.874907\pi\)
−0.130237 + 0.991483i \(0.541574\pi\)
\(660\) 2.78191 + 0.536947i 0.108286 + 0.0209006i
\(661\) 10.0623 37.5529i 0.391377 1.46064i −0.436488 0.899710i \(-0.643778\pi\)
0.827865 0.560927i \(-0.189555\pi\)
\(662\) −6.38975 + 11.0674i −0.248345 + 0.430146i
\(663\) 22.9404 + 34.1398i 0.890932 + 1.32588i
\(664\) 10.7428 0.416903
\(665\) 1.28132 31.4474i 0.0496873 1.21948i
\(666\) 18.4040 + 23.4285i 0.713140 + 0.907837i
\(667\) −7.53279 4.34906i −0.291671 0.168396i
\(668\) 14.9673 4.01048i 0.579103 0.155170i
\(669\) −18.3152 27.0764i −0.708107 1.04683i
\(670\) 2.73222 0.732096i 0.105555 0.0282833i
\(671\) −0.203239 + 0.203239i −0.00784596 + 0.00784596i
\(672\) −2.16957 + 4.03646i −0.0836929 + 0.155710i
\(673\) −26.8382 15.4950i −1.03453 0.597289i −0.116254 0.993219i \(-0.537089\pi\)
−0.918281 + 0.395930i \(0.870422\pi\)
\(674\) −4.37088 + 4.37088i −0.168360 + 0.168360i
\(675\) 7.92356 4.07678i 0.304978 0.156915i
\(676\) −6.43067 11.2981i −0.247333 0.434541i
\(677\) 11.6126 6.70454i 0.446309 0.257676i −0.259961 0.965619i \(-0.583710\pi\)
0.706270 + 0.707943i \(0.250376\pi\)
\(678\) −16.9410 + 1.20706i −0.650615 + 0.0463568i
\(679\) 6.95257 22.2767i 0.266815 0.854900i
\(680\) −5.96878 10.3382i −0.228892 0.396453i
\(681\) 9.60140 + 4.66727i 0.367927 + 0.178850i
\(682\) −3.02591 + 3.02591i −0.115868 + 0.115868i
\(683\) −0.158767 + 0.158767i −0.00607506 + 0.00607506i −0.710138 0.704063i \(-0.751367\pi\)
0.704063 + 0.710138i \(0.251367\pi\)
\(684\) −11.8082 + 15.7562i −0.451497 + 0.602453i
\(685\) 6.03834 + 10.4587i 0.230713 + 0.399607i
\(686\) −14.5941 + 11.4023i −0.557205 + 0.435342i
\(687\) 3.69940 + 51.9209i 0.141141 + 1.98090i
\(688\) −3.99588 + 2.30702i −0.152342 + 0.0879545i
\(689\) 4.36036 16.0753i 0.166116 0.612419i
\(690\) −2.82928 + 3.26339i −0.107709 + 0.124235i
\(691\) 24.7594 24.7594i 0.941894 0.941894i −0.0565085 0.998402i \(-0.517997\pi\)
0.998402 + 0.0565085i \(0.0179968\pi\)
\(692\) −14.3688 8.29585i −0.546221 0.315361i
\(693\) −2.54586 6.69577i −0.0967091 0.254351i
\(694\) 7.06855 7.06855i 0.268318 0.268318i
\(695\) −39.9779 + 10.7120i −1.51645 + 0.406331i
\(696\) −9.07020 + 6.13532i −0.343805 + 0.232559i
\(697\) 80.0770 21.4566i 3.03313 0.812725i
\(698\) −18.7204 10.8082i −0.708578 0.409098i
\(699\) −7.61630 6.60316i −0.288075 0.249754i
\(700\) 3.83370 + 2.42667i 0.144900 + 0.0917196i
\(701\) 4.70332 0.177642 0.0888209 0.996048i \(-0.471690\pi\)
0.0888209 + 0.996048i \(0.471690\pi\)
\(702\) −8.52017 16.6855i −0.321573 0.629755i
\(703\) −32.5896 + 56.4469i −1.22914 + 2.12893i
\(704\) 0.233586 0.871755i 0.00880360 0.0328555i
\(705\) 2.20954 11.4476i 0.0832162 0.431142i
\(706\) 9.30877 5.37442i 0.350340 0.202269i
\(707\) −21.8609 + 11.4610i −0.822162 + 0.431037i
\(708\) −8.35354 4.06068i −0.313945 0.152610i
\(709\) 34.6183 9.27595i 1.30012 0.348366i 0.458624 0.888631i \(-0.348343\pi\)
0.841495 + 0.540265i \(0.181676\pi\)
\(710\) −0.390016 1.45556i −0.0146370 0.0546261i
\(711\) −21.8108 8.74537i −0.817970 0.327977i
\(712\) 13.1151i 0.491511i
\(713\) −1.68839 6.30116i −0.0632308 0.235980i
\(714\) −14.2894 + 26.5852i −0.534767 + 0.994928i
\(715\) −5.69221 1.54399i −0.212877 0.0577420i
\(716\) −7.56115 + 4.36543i −0.282573 + 0.163144i
\(717\) −9.59959 4.66639i −0.358503 0.174269i
\(718\) 11.3275 + 19.6198i 0.422739 + 0.732205i
\(719\) 8.67999 15.0342i 0.323709 0.560681i −0.657541 0.753419i \(-0.728403\pi\)
0.981250 + 0.192738i \(0.0617368\pi\)
\(720\) 2.13776 + 4.99959i 0.0796698 + 0.186324i
\(721\) 9.21489 + 17.5765i 0.343180 + 0.654584i
\(722\) −23.2563 6.23151i −0.865511 0.231913i
\(723\) 12.0086 + 5.83743i 0.446606 + 0.217096i
\(724\) −12.7095 −0.472344
\(725\) 5.42094 + 9.38935i 0.201329 + 0.348712i
\(726\) −9.88441 14.6127i −0.366845 0.542328i
\(727\) 2.82499i 0.104773i −0.998627 0.0523865i \(-0.983317\pi\)
0.998627 0.0523865i \(-0.0166828\pi\)
\(728\) 5.12682 8.04461i 0.190013 0.298153i
\(729\) −11.1765 24.5782i −0.413945 0.910302i
\(730\) 12.7693 12.7693i 0.472614 0.472614i
\(731\) −26.3180 + 15.1947i −0.973407 + 0.561997i
\(732\) −0.541614 0.104539i −0.0200186 0.00386387i
\(733\) −9.70415 2.60022i −0.358431 0.0960413i 0.0751097 0.997175i \(-0.476069\pi\)
−0.433541 + 0.901134i \(0.642736\pi\)
\(734\) −1.00574 + 3.75346i −0.0371225 + 0.138543i
\(735\) −0.226646 + 21.9741i −0.00835995 + 0.810526i
\(736\) 0.972841 + 0.972841i 0.0358594 + 0.0358594i
\(737\) 1.21977 + 0.704235i 0.0449308 + 0.0259408i
\(738\) −37.3796 + 5.35383i −1.37596 + 0.197077i
\(739\) −0.242805 + 0.906159i −0.00893171 + 0.0333336i −0.970248 0.242114i \(-0.922159\pi\)
0.961316 + 0.275447i \(0.0888260\pi\)
\(740\) 8.99980 + 15.5881i 0.330839 + 0.573030i
\(741\) 26.9446 30.8865i 0.989836 1.13465i
\(742\) 11.9248 2.68011i 0.437773 0.0983899i
\(743\) 33.4454 8.96168i 1.22699 0.328772i 0.413586 0.910465i \(-0.364276\pi\)
0.813408 + 0.581693i \(0.197610\pi\)
\(744\) −8.06377 1.55642i −0.295632 0.0570610i
\(745\) 18.9177i 0.693090i
\(746\) −7.16253 + 1.91919i −0.262239 + 0.0702667i
\(747\) −31.9985 3.84338i −1.17076 0.140622i
\(748\) 1.53846 5.74162i 0.0562518 0.209935i
\(749\) −14.9878 0.610673i −0.547641 0.0223135i
\(750\) 19.9227 6.88929i 0.727472 0.251561i
\(751\) 22.2196i 0.810805i 0.914138 + 0.405403i \(0.132869\pi\)
−0.914138 + 0.405403i \(0.867131\pi\)
\(752\) −3.58728 0.961209i −0.130815 0.0350517i
\(753\) −6.41302 5.55994i −0.233703 0.202615i
\(754\) 19.7760 11.3368i 0.720200 0.412861i
\(755\) 20.2863i 0.738292i
\(756\) 7.90635 11.2468i 0.287551 0.409041i
\(757\) 19.9696 34.5883i 0.725807 1.25713i −0.232834 0.972516i \(-0.574800\pi\)
0.958641 0.284618i \(-0.0918667\pi\)
\(758\) 4.78011 8.27939i 0.173621 0.300721i
\(759\) −2.14520 + 0.152847i −0.0778660 + 0.00554800i
\(760\) −8.41165 + 8.41165i −0.305123 + 0.305123i
\(761\) 0.754848 + 2.81713i 0.0273632 + 0.102121i 0.978257 0.207397i \(-0.0664991\pi\)
−0.950894 + 0.309518i \(0.899832\pi\)
\(762\) 13.7902 + 20.3869i 0.499567 + 0.738538i
\(763\) −14.7811 + 3.32206i −0.535112 + 0.120267i
\(764\) −2.81616 + 4.87773i −0.101885 + 0.176470i
\(765\) 14.0799 + 32.9287i 0.509061 + 1.19054i
\(766\) −18.3476 10.5930i −0.662926 0.382741i
\(767\) 16.7148 + 9.71890i 0.603535 + 0.350929i
\(768\) 1.63694 0.566057i 0.0590681 0.0204258i
\(769\) 9.05425 + 33.7909i 0.326505 + 1.21853i 0.912791 + 0.408427i \(0.133923\pi\)
−0.586286 + 0.810104i \(0.699411\pi\)
\(770\) −0.949019 4.22254i −0.0342003 0.152170i
\(771\) 36.2339 12.5297i 1.30493 0.451248i
\(772\) 5.79885 + 1.55380i 0.208705 + 0.0559224i
\(773\) 3.72808 + 3.72808i 0.134090 + 0.134090i 0.770966 0.636876i \(-0.219774\pi\)
−0.636876 + 0.770966i \(0.719774\pi\)
\(774\)