Properties

Label 690.2.w.b.37.6
Level $690$
Weight $2$
Character 690.37
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.w (of order \(44\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 37.6
Character \(\chi\) \(=\) 690.37
Dual form 690.2.w.b.373.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.877679 - 0.479249i) q^{2} +(0.997452 + 0.0713392i) q^{3} +(0.540641 + 0.841254i) q^{4} +(2.18586 - 0.471182i) q^{5} +(-0.841254 - 0.540641i) q^{6} +(1.33355 + 3.57540i) q^{7} +(-0.0713392 - 0.997452i) q^{8} +(0.989821 + 0.142315i) q^{9} +O(q^{10})\) \(q+(-0.877679 - 0.479249i) q^{2} +(0.997452 + 0.0713392i) q^{3} +(0.540641 + 0.841254i) q^{4} +(2.18586 - 0.471182i) q^{5} +(-0.841254 - 0.540641i) q^{6} +(1.33355 + 3.57540i) q^{7} +(-0.0713392 - 0.997452i) q^{8} +(0.989821 + 0.142315i) q^{9} +(-2.14430 - 0.634025i) q^{10} +(0.274213 - 0.933883i) q^{11} +(0.479249 + 0.877679i) q^{12} +(-0.363351 - 0.135523i) q^{13} +(0.543073 - 3.77716i) q^{14} +(2.21391 - 0.314044i) q^{15} +(-0.415415 + 0.909632i) q^{16} +(6.16390 - 1.34087i) q^{17} +(-0.800541 - 0.599278i) q^{18} +(-4.73875 + 3.04541i) q^{19} +(1.57815 + 1.58412i) q^{20} +(1.07509 + 3.66142i) q^{21} +(-0.688234 + 0.688234i) q^{22} +(-3.01793 + 3.72721i) q^{23} -1.00000i q^{24} +(4.55597 - 2.05988i) q^{25} +(0.253957 + 0.293081i) q^{26} +(0.977147 + 0.212565i) q^{27} +(-2.28684 + 3.05486i) q^{28} +(-1.75012 + 2.72324i) q^{29} +(-2.09360 - 0.785382i) q^{30} +(0.0490589 - 0.0566169i) q^{31} +(0.800541 - 0.599278i) q^{32} +(0.340137 - 0.911942i) q^{33} +(-6.05253 - 1.77718i) q^{34} +(4.59963 + 7.18698i) q^{35} +(0.415415 + 0.909632i) q^{36} +(-5.11516 - 6.83305i) q^{37} +(5.61861 - 0.401851i) q^{38} +(-0.352757 - 0.161099i) q^{39} +(-0.625919 - 2.14668i) q^{40} +(0.842836 + 5.86205i) q^{41} +(0.811149 - 3.72879i) q^{42} +(0.138451 - 1.93580i) q^{43} +(0.933883 - 0.274213i) q^{44} +(2.23067 - 0.155306i) q^{45} +(4.43504 - 1.82495i) q^{46} +(-7.27937 - 7.27937i) q^{47} +(-0.479249 + 0.877679i) q^{48} +(-5.71486 + 4.95196i) q^{49} +(-4.98588 - 0.375535i) q^{50} +(6.24385 - 0.897730i) q^{51} +(-0.0824333 - 0.378940i) q^{52} +(11.9363 - 4.45203i) q^{53} +(-0.755750 - 0.654861i) q^{54} +(0.159362 - 2.17054i) q^{55} +(3.47115 - 1.58522i) q^{56} +(-4.94393 + 2.69959i) q^{57} +(2.84115 - 1.55139i) q^{58} +(11.1289 - 5.08238i) q^{59} +(1.46112 + 1.69267i) q^{60} +(5.42228 + 4.69843i) q^{61} +(-0.0701916 + 0.0261801i) q^{62} +(0.811149 + 3.72879i) q^{63} +(-0.989821 + 0.142315i) q^{64} +(-0.858092 - 0.125030i) q^{65} +(-0.735578 + 0.637382i) q^{66} +(-2.25028 + 4.12107i) q^{67} +(4.46047 + 4.46047i) q^{68} +(-3.27614 + 3.50242i) q^{69} +(-0.592647 - 8.51223i) q^{70} +(-3.89999 + 1.14514i) q^{71} +(0.0713392 - 0.997452i) q^{72} +(0.475950 - 2.18791i) q^{73} +(1.21473 + 8.44866i) q^{74} +(4.69132 - 1.72961i) q^{75} +(-5.12392 - 2.34002i) q^{76} +(3.70468 - 0.264964i) q^{77} +(0.232401 + 0.310452i) q^{78} +(2.42651 + 5.31332i) q^{79} +(-0.479437 + 2.18407i) q^{80} +(0.959493 + 0.281733i) q^{81} +(2.06964 - 5.54893i) q^{82} +(2.85816 - 2.13959i) q^{83} +(-2.49895 + 2.88394i) q^{84} +(12.8416 - 5.83528i) q^{85} +(-1.04925 + 1.63266i) q^{86} +(-1.93993 + 2.59145i) q^{87} +(-0.951066 - 0.206892i) q^{88} +(0.830562 + 0.958520i) q^{89} +(-2.03224 - 0.932737i) q^{90} -1.47985i q^{91} +(-4.76715 - 0.523762i) q^{92} +(0.0529729 - 0.0529729i) q^{93} +(2.90032 + 9.87758i) q^{94} +(-8.92330 + 8.88965i) q^{95} +(0.841254 - 0.540641i) q^{96} +(-10.6558 - 7.97683i) q^{97} +(7.38904 - 1.60739i) q^{98} +(0.404327 - 0.885353i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 24q^{6} + O(q^{10}) \) \( 240q + 24q^{6} - 44q^{10} + 24q^{16} - 44q^{21} + 96q^{23} + 16q^{25} + 16q^{26} + 44q^{28} - 16q^{31} + 44q^{33} + 16q^{35} - 24q^{36} + 44q^{37} - 88q^{43} + 8q^{46} + 96q^{47} - 24q^{50} - 24q^{55} + 44q^{57} - 16q^{58} + 88q^{61} + 56q^{62} - 88q^{65} + 132q^{67} - 56q^{70} + 16q^{71} + 48q^{73} + 24q^{81} - 24q^{82} + 44q^{85} - 16q^{87} + 44q^{88} - 124q^{92} + 32q^{93} + 20q^{95} - 24q^{96} - 56q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(1\) \(e\left(\frac{21}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.877679 0.479249i −0.620613 0.338880i
\(3\) 0.997452 + 0.0713392i 0.575879 + 0.0411877i
\(4\) 0.540641 + 0.841254i 0.270320 + 0.420627i
\(5\) 2.18586 0.471182i 0.977547 0.210719i
\(6\) −0.841254 0.540641i −0.343440 0.220716i
\(7\) 1.33355 + 3.57540i 0.504036 + 1.35137i 0.901111 + 0.433588i \(0.142753\pi\)
−0.397075 + 0.917786i \(0.629975\pi\)
\(8\) −0.0713392 0.997452i −0.0252222 0.352653i
\(9\) 0.989821 + 0.142315i 0.329940 + 0.0474383i
\(10\) −2.14430 0.634025i −0.678086 0.200496i
\(11\) 0.274213 0.933883i 0.0826783 0.281576i −0.907769 0.419471i \(-0.862215\pi\)
0.990447 + 0.137895i \(0.0440336\pi\)
\(12\) 0.479249 + 0.877679i 0.138347 + 0.253364i
\(13\) −0.363351 0.135523i −0.100776 0.0375873i 0.298571 0.954388i \(-0.403490\pi\)
−0.399346 + 0.916800i \(0.630763\pi\)
\(14\) 0.543073 3.77716i 0.145142 1.00949i
\(15\) 2.21391 0.314044i 0.571628 0.0810859i
\(16\) −0.415415 + 0.909632i −0.103854 + 0.227408i
\(17\) 6.16390 1.34087i 1.49496 0.325210i 0.610574 0.791959i \(-0.290939\pi\)
0.884390 + 0.466749i \(0.154575\pi\)
\(18\) −0.800541 0.599278i −0.188689 0.141251i
\(19\) −4.73875 + 3.04541i −1.08714 + 0.698665i −0.956197 0.292725i \(-0.905438\pi\)
−0.130947 + 0.991389i \(0.541802\pi\)
\(20\) 1.57815 + 1.58412i 0.352885 + 0.354221i
\(21\) 1.07509 + 3.66142i 0.234604 + 0.798988i
\(22\) −0.688234 + 0.688234i −0.146732 + 0.146732i
\(23\) −3.01793 + 3.72721i −0.629282 + 0.777177i
\(24\) 1.00000i 0.204124i
\(25\) 4.55597 2.05988i 0.911195 0.411976i
\(26\) 0.253957 + 0.293081i 0.0498050 + 0.0574780i
\(27\) 0.977147 + 0.212565i 0.188052 + 0.0409082i
\(28\) −2.28684 + 3.05486i −0.432173 + 0.577315i
\(29\) −1.75012 + 2.72324i −0.324989 + 0.505692i −0.964851 0.262797i \(-0.915355\pi\)
0.639862 + 0.768490i \(0.278991\pi\)
\(30\) −2.09360 0.785382i −0.382238 0.143390i
\(31\) 0.0490589 0.0566169i 0.00881123 0.0101687i −0.751327 0.659930i \(-0.770586\pi\)
0.760138 + 0.649762i \(0.225131\pi\)
\(32\) 0.800541 0.599278i 0.141517 0.105938i
\(33\) 0.340137 0.911942i 0.0592102 0.158749i
\(34\) −6.05253 1.77718i −1.03800 0.304785i
\(35\) 4.59963 + 7.18698i 0.777479 + 1.21482i
\(36\) 0.415415 + 0.909632i 0.0692358 + 0.151605i
\(37\) −5.11516 6.83305i −0.840927 1.12335i −0.990892 0.134656i \(-0.957007\pi\)
0.149965 0.988691i \(-0.452084\pi\)
\(38\) 5.61861 0.401851i 0.911459 0.0651888i
\(39\) −0.352757 0.161099i −0.0564864 0.0257965i
\(40\) −0.625919 2.14668i −0.0989665 0.339420i
\(41\) 0.842836 + 5.86205i 0.131629 + 0.915499i 0.943432 + 0.331567i \(0.107577\pi\)
−0.811803 + 0.583932i \(0.801514\pi\)
\(42\) 0.811149 3.72879i 0.125163 0.575365i
\(43\) 0.138451 1.93580i 0.0211136 0.295207i −0.975914 0.218157i \(-0.929995\pi\)
0.997027 0.0770499i \(-0.0245501\pi\)
\(44\) 0.933883 0.274213i 0.140788 0.0413392i
\(45\) 2.23067 0.155306i 0.332528 0.0231516i
\(46\) 4.43504 1.82495i 0.653910 0.269075i
\(47\) −7.27937 7.27937i −1.06181 1.06181i −0.997960 0.0638453i \(-0.979664\pi\)
−0.0638453 0.997960i \(-0.520336\pi\)
\(48\) −0.479249 + 0.877679i −0.0691736 + 0.126682i
\(49\) −5.71486 + 4.95196i −0.816409 + 0.707422i
\(50\) −4.98588 0.375535i −0.705110 0.0531086i
\(51\) 6.24385 0.897730i 0.874313 0.125707i
\(52\) −0.0824333 0.378940i −0.0114314 0.0525495i
\(53\) 11.9363 4.45203i 1.63958 0.611533i 0.650582 0.759436i \(-0.274525\pi\)
0.989002 + 0.147903i \(0.0472525\pi\)
\(54\) −0.755750 0.654861i −0.102844 0.0891153i
\(55\) 0.159362 2.17054i 0.0214884 0.292676i
\(56\) 3.47115 1.58522i 0.463853 0.211834i
\(57\) −4.94393 + 2.69959i −0.654840 + 0.357569i
\(58\) 2.84115 1.55139i 0.373061 0.203707i
\(59\) 11.1289 5.08238i 1.44886 0.661670i 0.473195 0.880958i \(-0.343101\pi\)
0.975660 + 0.219288i \(0.0703733\pi\)
\(60\) 1.46112 + 1.69267i 0.188630 + 0.218523i
\(61\) 5.42228 + 4.69843i 0.694251 + 0.601572i 0.928822 0.370527i \(-0.120823\pi\)
−0.234570 + 0.972099i \(0.575368\pi\)
\(62\) −0.0701916 + 0.0261801i −0.00891434 + 0.00332488i
\(63\) 0.811149 + 3.72879i 0.102195 + 0.469784i
\(64\) −0.989821 + 0.142315i −0.123728 + 0.0177894i
\(65\) −0.858092 0.125030i −0.106433 0.0155080i
\(66\) −0.735578 + 0.637382i −0.0905434 + 0.0784563i
\(67\) −2.25028 + 4.12107i −0.274915 + 0.503469i −0.978261 0.207379i \(-0.933507\pi\)
0.703346 + 0.710848i \(0.251689\pi\)
\(68\) 4.46047 + 4.46047i 0.540911 + 0.540911i
\(69\) −3.27614 + 3.50242i −0.394401 + 0.421642i
\(70\) −0.592647 8.51223i −0.0708349 1.01741i
\(71\) −3.89999 + 1.14514i −0.462844 + 0.135903i −0.504837 0.863215i \(-0.668447\pi\)
0.0419930 + 0.999118i \(0.486629\pi\)
\(72\) 0.0713392 0.997452i 0.00840740 0.117551i
\(73\) 0.475950 2.18791i 0.0557058 0.256075i −0.940869 0.338770i \(-0.889989\pi\)
0.996575 + 0.0826949i \(0.0263527\pi\)
\(74\) 1.21473 + 8.44866i 0.141210 + 0.982137i
\(75\) 4.69132 1.72961i 0.541707 0.199718i
\(76\) −5.12392 2.34002i −0.587754 0.268418i
\(77\) 3.70468 0.264964i 0.422188 0.0301955i
\(78\) 0.232401 + 0.310452i 0.0263143 + 0.0351517i
\(79\) 2.42651 + 5.31332i 0.273004 + 0.597795i 0.995624 0.0934502i \(-0.0297896\pi\)
−0.722620 + 0.691246i \(0.757062\pi\)
\(80\) −0.479437 + 2.18407i −0.0536027 + 0.244186i
\(81\) 0.959493 + 0.281733i 0.106610 + 0.0313036i
\(82\) 2.06964 5.54893i 0.228554 0.612777i
\(83\) 2.85816 2.13959i 0.313723 0.234850i −0.430799 0.902448i \(-0.641768\pi\)
0.744522 + 0.667598i \(0.232677\pi\)
\(84\) −2.49895 + 2.88394i −0.272658 + 0.314664i
\(85\) 12.8416 5.83528i 1.39287 0.632925i
\(86\) −1.04925 + 1.63266i −0.113143 + 0.176054i
\(87\) −1.93993 + 2.59145i −0.207983 + 0.277832i
\(88\) −0.951066 0.206892i −0.101384 0.0220547i
\(89\) 0.830562 + 0.958520i 0.0880394 + 0.101603i 0.798060 0.602578i \(-0.205860\pi\)
−0.710021 + 0.704181i \(0.751314\pi\)
\(90\) −2.03224 0.932737i −0.214217 0.0983191i
\(91\) 1.47985i 0.155131i
\(92\) −4.76715 0.523762i −0.497009 0.0546059i
\(93\) 0.0529729 0.0529729i 0.00549303 0.00549303i
\(94\) 2.90032 + 9.87758i 0.299145 + 1.01879i
\(95\) −8.92330 + 8.88965i −0.915511 + 0.912059i
\(96\) 0.841254 0.540641i 0.0858601 0.0551789i
\(97\) −10.6558 7.97683i −1.08193 0.809925i −0.0992207 0.995065i \(-0.531635\pi\)
−0.982712 + 0.185141i \(0.940726\pi\)
\(98\) 7.38904 1.60739i 0.746405 0.162371i
\(99\) 0.404327 0.885353i 0.0406364 0.0889814i
\(100\) 4.19603 + 2.71908i 0.419603 + 0.271908i
\(101\) 1.55156 10.7913i 0.154386 1.07378i −0.754370 0.656450i \(-0.772057\pi\)
0.908756 0.417328i \(-0.137033\pi\)
\(102\) −5.91033 2.20444i −0.585210 0.218272i
\(103\) −5.67500 10.3930i −0.559174 1.02405i −0.992434 0.122782i \(-0.960819\pi\)
0.433260 0.901269i \(-0.357363\pi\)
\(104\) −0.109257 + 0.372094i −0.0107135 + 0.0364868i
\(105\) 4.07520 + 7.49680i 0.397699 + 0.731613i
\(106\) −12.6099 1.81303i −1.22478 0.176097i
\(107\) −1.22992 17.1965i −0.118901 1.66245i −0.610793 0.791791i \(-0.709149\pi\)
0.491892 0.870656i \(-0.336305\pi\)
\(108\) 0.349464 + 0.936950i 0.0336272 + 0.0901580i
\(109\) −10.2548 6.59035i −0.982231 0.631241i −0.0521665 0.998638i \(-0.516613\pi\)
−0.930064 + 0.367397i \(0.880249\pi\)
\(110\) −1.18010 + 1.82867i −0.112518 + 0.174356i
\(111\) −4.61466 7.18056i −0.438004 0.681548i
\(112\) −3.80628 0.272230i −0.359659 0.0257233i
\(113\) 11.8013 + 6.44401i 1.11018 + 0.606202i 0.926315 0.376750i \(-0.122959\pi\)
0.183861 + 0.982952i \(0.441140\pi\)
\(114\) 5.63296 0.527575
\(115\) −4.84058 + 9.56916i −0.451386 + 0.892329i
\(116\) −3.23712 −0.300559
\(117\) −0.340366 0.185854i −0.0314668 0.0171822i
\(118\) −12.2033 0.872797i −1.12341 0.0803475i
\(119\) 13.0140 + 20.2503i 1.19300 + 1.85634i
\(120\) −0.471182 2.18586i −0.0430129 0.199541i
\(121\) 8.45684 + 5.43488i 0.768804 + 0.494080i
\(122\) −2.50730 6.72233i −0.227000 0.608611i
\(123\) 0.422495 + 5.90725i 0.0380950 + 0.532638i
\(124\) 0.0741524 + 0.0106615i 0.00665909 + 0.000957432i
\(125\) 8.98815 6.64930i 0.803924 0.594731i
\(126\) 1.07509 3.66142i 0.0957767 0.326186i
\(127\) −0.372763 0.682665i −0.0330774 0.0605768i 0.860618 0.509252i \(-0.170078\pi\)
−0.893695 + 0.448675i \(0.851896\pi\)
\(128\) 0.936950 + 0.349464i 0.0828154 + 0.0308886i
\(129\) 0.276197 1.92099i 0.0243178 0.169134i
\(130\) 0.693208 + 0.520976i 0.0607984 + 0.0456926i
\(131\) −2.71596 + 5.94713i −0.237295 + 0.519603i −0.990389 0.138310i \(-0.955833\pi\)
0.753094 + 0.657913i \(0.228560\pi\)
\(132\) 0.951066 0.206892i 0.0827797 0.0180076i
\(133\) −17.2079 12.8817i −1.49212 1.11698i
\(134\) 3.95004 2.53854i 0.341231 0.219296i
\(135\) 2.23606 + 0.00422385i 0.192450 + 0.000363532i
\(136\) −1.77718 6.05253i −0.152392 0.519000i
\(137\) −4.37090 + 4.37090i −0.373431 + 0.373431i −0.868725 0.495294i \(-0.835060\pi\)
0.495294 + 0.868725i \(0.335060\pi\)
\(138\) 4.55393 1.50391i 0.387656 0.128022i
\(139\) 17.8821i 1.51674i 0.651824 + 0.758370i \(0.274004\pi\)
−0.651824 + 0.758370i \(0.725996\pi\)
\(140\) −3.55932 + 7.75503i −0.300818 + 0.655419i
\(141\) −6.74152 7.78013i −0.567738 0.655205i
\(142\) 3.97175 + 0.864002i 0.333302 + 0.0725054i
\(143\) −0.226198 + 0.302166i −0.0189157 + 0.0252684i
\(144\) −0.540641 + 0.841254i −0.0450534 + 0.0701045i
\(145\) −2.54237 + 6.77724i −0.211133 + 0.562819i
\(146\) −1.46628 + 1.69218i −0.121351 + 0.140046i
\(147\) −6.05357 + 4.53165i −0.499290 + 0.373764i
\(148\) 2.98287 7.99738i 0.245190 0.657380i
\(149\) −22.5527 6.62207i −1.84759 0.542501i −0.999928 0.0119646i \(-0.996191\pi\)
−0.847662 0.530537i \(-0.821990\pi\)
\(150\) −4.94638 0.730266i −0.403871 0.0596260i
\(151\) −3.11780 6.82703i −0.253723 0.555575i 0.739317 0.673358i \(-0.235149\pi\)
−0.993039 + 0.117783i \(0.962421\pi\)
\(152\) 3.37571 + 4.50942i 0.273806 + 0.365762i
\(153\) 6.29198 0.450011i 0.508677 0.0363813i
\(154\) −3.37851 1.54291i −0.272248 0.124331i
\(155\) 0.0805589 0.146872i 0.00647065 0.0117971i
\(156\) −0.0551900 0.383855i −0.00441874 0.0307330i
\(157\) 1.98589 9.12901i 0.158492 0.728574i −0.827457 0.561528i \(-0.810214\pi\)
0.985949 0.167046i \(-0.0534228\pi\)
\(158\) 0.416705 5.82629i 0.0331513 0.463515i
\(159\) 12.2235 3.58915i 0.969390 0.284638i
\(160\) 1.46750 1.68714i 0.116016 0.133380i
\(161\) −17.3508 5.81986i −1.36744 0.458669i
\(162\) −0.707107 0.707107i −0.0555556 0.0555556i
\(163\) −7.76393 + 14.2186i −0.608118 + 1.11368i 0.374356 + 0.927285i \(0.377864\pi\)
−0.982474 + 0.186400i \(0.940318\pi\)
\(164\) −4.47580 + 3.87830i −0.349501 + 0.302845i
\(165\) 0.313801 2.15364i 0.0244294 0.167661i
\(166\) −3.53394 + 0.508104i −0.274287 + 0.0394365i
\(167\) −2.78193 12.7883i −0.215272 0.989590i −0.950247 0.311496i \(-0.899170\pi\)
0.734975 0.678094i \(-0.237194\pi\)
\(168\) 3.57540 1.33355i 0.275848 0.102886i
\(169\) −9.71109 8.41470i −0.747007 0.647285i
\(170\) −14.0674 1.03283i −1.07892 0.0792145i
\(171\) −5.12392 + 2.34002i −0.391836 + 0.178946i
\(172\) 1.70335 0.930102i 0.129880 0.0709196i
\(173\) −6.67813 + 3.64654i −0.507729 + 0.277241i −0.712628 0.701542i \(-0.752495\pi\)
0.204899 + 0.978783i \(0.434313\pi\)
\(174\) 2.94459 1.34475i 0.223228 0.101945i
\(175\) 13.4405 + 13.5425i 1.01601 + 1.02371i
\(176\) 0.735578 + 0.637382i 0.0554463 + 0.0480445i
\(177\) 11.4631 4.27551i 0.861618 0.321367i
\(178\) −0.269597 1.23932i −0.0202072 0.0928909i
\(179\) −24.5473 + 3.52937i −1.83475 + 0.263797i −0.970819 0.239814i \(-0.922914\pi\)
−0.863931 + 0.503611i \(0.832005\pi\)
\(180\) 1.33664 + 1.79259i 0.0996274 + 0.133612i
\(181\) −17.9599 + 15.5624i −1.33495 + 1.15674i −0.360345 + 0.932819i \(0.617341\pi\)
−0.974607 + 0.223924i \(0.928113\pi\)
\(182\) −0.709218 + 1.29884i −0.0525708 + 0.0962762i
\(183\) 5.07328 + 5.07328i 0.375028 + 0.375028i
\(184\) 3.93301 + 2.74434i 0.289945 + 0.202316i
\(185\) −14.4006 12.5259i −1.05876 0.920925i
\(186\) −0.0718804 + 0.0211060i −0.00527053 + 0.00154757i
\(187\) 0.438000 6.12404i 0.0320298 0.447834i
\(188\) 2.18827 10.0593i 0.159596 0.733651i
\(189\) 0.543073 + 3.77716i 0.0395028 + 0.274748i
\(190\) 12.0921 3.52578i 0.877257 0.255787i
\(191\) −5.22626 2.38675i −0.378159 0.172699i 0.217262 0.976113i \(-0.430287\pi\)
−0.595421 + 0.803414i \(0.703015\pi\)
\(192\) −0.997452 + 0.0713392i −0.0719849 + 0.00514846i
\(193\) 2.72149 + 3.63548i 0.195897 + 0.261688i 0.887725 0.460375i \(-0.152285\pi\)
−0.691828 + 0.722063i \(0.743194\pi\)
\(194\) 5.52948 + 12.1079i 0.396994 + 0.869295i
\(195\) −0.846986 0.185927i −0.0606539 0.0133145i
\(196\) −7.25554 2.13042i −0.518253 0.152173i
\(197\) 5.41721 14.5241i 0.385960 1.03480i −0.588155 0.808748i \(-0.700146\pi\)
0.974115 0.226051i \(-0.0725817\pi\)
\(198\) −0.779174 + 0.583283i −0.0553735 + 0.0414521i
\(199\) −2.24405 + 2.58977i −0.159076 + 0.183584i −0.829693 0.558221i \(-0.811484\pi\)
0.670616 + 0.741804i \(0.266030\pi\)
\(200\) −2.37965 4.39742i −0.168267 0.310944i
\(201\) −2.53854 + 3.95004i −0.179055 + 0.278614i
\(202\) −6.53351 + 8.72774i −0.459696 + 0.614082i
\(203\) −12.0705 2.62578i −0.847185 0.184294i
\(204\) 4.13090 + 4.76731i 0.289221 + 0.333778i
\(205\) 4.60442 + 12.4165i 0.321587 + 0.867206i
\(206\) 11.8414i 0.825032i
\(207\) −3.51765 + 3.25978i −0.244494 + 0.226570i
\(208\) 0.274218 0.274218i 0.0190136 0.0190136i
\(209\) 1.54463 + 5.26053i 0.106844 + 0.363878i
\(210\) 0.0161182 8.53282i 0.00111226 0.588820i
\(211\) 0.879820 0.565426i 0.0605693 0.0389255i −0.510006 0.860171i \(-0.670357\pi\)
0.570575 + 0.821245i \(0.306720\pi\)
\(212\) 10.1986 + 7.63455i 0.700440 + 0.524343i
\(213\) −3.97175 + 0.864002i −0.272140 + 0.0592004i
\(214\) −7.16192 + 15.6824i −0.489579 + 1.07203i
\(215\) −0.609481 4.29663i −0.0415663 0.293028i
\(216\) 0.142315 0.989821i 0.00968330 0.0673488i
\(217\) 0.267851 + 0.0999032i 0.0181829 + 0.00678187i
\(218\) 5.84199 + 10.6988i 0.395670 + 0.724615i
\(219\) 0.630821 2.14838i 0.0426270 0.145174i
\(220\) 1.91213 1.03942i 0.128916 0.0700777i
\(221\) −2.42138 0.348142i −0.162880 0.0234185i
\(222\) 0.608919 + 8.51380i 0.0408679 + 0.571409i
\(223\) 5.08542 + 13.6345i 0.340545 + 0.913036i 0.988481 + 0.151342i \(0.0483594\pi\)
−0.647937 + 0.761694i \(0.724368\pi\)
\(224\) 3.21022 + 2.06308i 0.214492 + 0.137846i
\(225\) 4.80275 1.39053i 0.320183 0.0927019i
\(226\) −7.26949 11.3116i −0.483559 0.752433i
\(227\) 9.44228 + 0.675326i 0.626706 + 0.0448229i 0.381081 0.924542i \(-0.375552\pi\)
0.245626 + 0.969365i \(0.421007\pi\)
\(228\) −4.94393 2.69959i −0.327420 0.178785i
\(229\) 3.31839 0.219285 0.109643 0.993971i \(-0.465029\pi\)
0.109643 + 0.993971i \(0.465029\pi\)
\(230\) 8.83448 6.07881i 0.582529 0.400825i
\(231\) 3.71415 0.244373
\(232\) 2.84115 + 1.55139i 0.186531 + 0.101853i
\(233\) −6.38529 0.456685i −0.418314 0.0299184i −0.139404 0.990236i \(-0.544519\pi\)
−0.278910 + 0.960317i \(0.589973\pi\)
\(234\) 0.209662 + 0.326240i 0.0137060 + 0.0213270i
\(235\) −19.3416 12.4818i −1.26171 0.814221i
\(236\) 10.2923 + 6.61446i 0.669971 + 0.430564i
\(237\) 2.04128 + 5.47289i 0.132596 + 0.355502i
\(238\) −1.71724 24.0102i −0.111312 1.55635i
\(239\) 6.07333 + 0.873213i 0.392851 + 0.0564834i 0.335910 0.941894i \(-0.390956\pi\)
0.0569410 + 0.998378i \(0.481865\pi\)
\(240\) −0.634025 + 2.14430i −0.0409261 + 0.138414i
\(241\) 1.27095 4.32846i 0.0818690 0.278820i −0.908377 0.418153i \(-0.862678\pi\)
0.990246 + 0.139333i \(0.0444957\pi\)
\(242\) −4.81773 8.82302i −0.309696 0.567165i
\(243\) 0.936950 + 0.349464i 0.0601054 + 0.0224181i
\(244\) −1.02107 + 7.10167i −0.0653671 + 0.454638i
\(245\) −10.1586 + 13.5170i −0.649010 + 0.863571i
\(246\) 2.46023 5.38715i 0.156858 0.343472i
\(247\) 2.13455 0.464344i 0.135818 0.0295455i
\(248\) −0.0599725 0.0448949i −0.00380826 0.00285083i
\(249\) 3.00351 1.93024i 0.190340 0.122324i
\(250\) −11.0754 + 1.52839i −0.700468 + 0.0966639i
\(251\) −4.74550 16.1617i −0.299533 1.02012i −0.962458 0.271431i \(-0.912503\pi\)
0.662925 0.748686i \(-0.269315\pi\)
\(252\) −2.69832 + 2.69832i −0.169978 + 0.169978i
\(253\) 2.65323 + 3.84044i 0.166807 + 0.241447i
\(254\) 0.777808i 0.0488040i
\(255\) 13.2252 4.90430i 0.828193 0.307119i
\(256\) −0.654861 0.755750i −0.0409288 0.0472343i
\(257\) −5.84972 1.27253i −0.364895 0.0793781i 0.0263796 0.999652i \(-0.491602\pi\)
−0.391275 + 0.920274i \(0.627966\pi\)
\(258\) −1.16305 + 1.55365i −0.0724082 + 0.0967260i
\(259\) 17.6095 27.4010i 1.09420 1.70261i
\(260\) −0.358738 0.789469i −0.0222480 0.0489608i
\(261\) −2.11986 + 2.44645i −0.131216 + 0.151431i
\(262\) 5.23390 3.91805i 0.323351 0.242058i
\(263\) −2.43648 + 6.53247i −0.150240 + 0.402809i −0.990167 0.139890i \(-0.955325\pi\)
0.839927 + 0.542700i \(0.182598\pi\)
\(264\) −0.933883 0.274213i −0.0574766 0.0168766i
\(265\) 23.9935 15.3557i 1.47391 0.943294i
\(266\) 8.92950 + 19.5529i 0.547503 + 1.19886i
\(267\) 0.760066 + 1.01533i 0.0465153 + 0.0621371i
\(268\) −4.68346 + 0.334967i −0.286088 + 0.0204614i
\(269\) −9.83916 4.49339i −0.599904 0.273967i 0.0922279 0.995738i \(-0.470601\pi\)
−0.692132 + 0.721771i \(0.743328\pi\)
\(270\) −1.96052 1.07534i −0.119314 0.0654430i
\(271\) 2.52104 + 17.5342i 0.153142 + 1.06513i 0.910910 + 0.412605i \(0.135381\pi\)
−0.757768 + 0.652524i \(0.773710\pi\)
\(272\) −1.34087 + 6.16390i −0.0813024 + 0.373741i
\(273\) 0.105572 1.47608i 0.00638948 0.0893366i
\(274\) 5.93100 1.74150i 0.358305 0.105208i
\(275\) −0.674379 4.81959i −0.0406666 0.290632i
\(276\) −4.71763 0.862512i −0.283968 0.0519171i
\(277\) 4.91405 + 4.91405i 0.295257 + 0.295257i 0.839153 0.543896i \(-0.183051\pi\)
−0.543896 + 0.839153i \(0.683051\pi\)
\(278\) 8.56998 15.6947i 0.513993 0.941308i
\(279\) 0.0566169 0.0490589i 0.00338957 0.00293708i
\(280\) 6.84053 5.10062i 0.408800 0.304821i
\(281\) 1.68557 0.242348i 0.100553 0.0144573i −0.0918548 0.995772i \(-0.529280\pi\)
0.192407 + 0.981315i \(0.438370\pi\)
\(282\) 2.18827 + 10.0593i 0.130310 + 0.599024i
\(283\) 24.7516 9.23186i 1.47133 0.548777i 0.519248 0.854624i \(-0.326212\pi\)
0.952081 + 0.305846i \(0.0989393\pi\)
\(284\) −3.07185 2.66177i −0.182281 0.157947i
\(285\) −9.53474 + 8.23042i −0.564790 + 0.487528i
\(286\) 0.343342 0.156799i 0.0203022 0.00927172i
\(287\) −19.8352 + 10.8308i −1.17084 + 0.639325i
\(288\) 0.877679 0.479249i 0.0517177 0.0282400i
\(289\) 20.7319 9.46795i 1.21952 0.556938i
\(290\) 5.47937 4.72981i 0.321760 0.277744i
\(291\) −10.0596 8.71669i −0.589704 0.510981i
\(292\) 2.09790 0.782478i 0.122771 0.0457911i
\(293\) −2.82785 12.9994i −0.165205 0.759434i −0.982953 0.183858i \(-0.941141\pi\)
0.817748 0.575576i \(-0.195222\pi\)
\(294\) 7.48488 1.07616i 0.436527 0.0627631i
\(295\) 21.9314 16.3531i 1.27690 0.952115i
\(296\) −6.45073 + 5.58959i −0.374941 + 0.324888i
\(297\) 0.466457 0.854253i 0.0270666 0.0495688i
\(298\) 16.6204 + 16.6204i 0.962795 + 0.962795i
\(299\) 1.60169 0.945288i 0.0926282 0.0546674i
\(300\) 3.99136 + 3.01149i 0.230441 + 0.173868i
\(301\) 7.10590 2.08648i 0.409577 0.120263i
\(302\) −0.535419 + 7.48614i −0.0308099 + 0.430779i
\(303\) 2.31745 10.6532i 0.133134 0.612008i
\(304\) −0.801654 5.57562i −0.0459780 0.319784i
\(305\) 14.0662 + 7.71523i 0.805426 + 0.441773i
\(306\) −5.73801 2.62046i −0.328020 0.149802i
\(307\) 0.410966 0.0293928i 0.0234551 0.00167754i −0.0596067 0.998222i \(-0.518985\pi\)
0.0830618 + 0.996544i \(0.473530\pi\)
\(308\) 2.22581 + 2.97333i 0.126827 + 0.169421i
\(309\) −4.91911 10.7713i −0.279838 0.612761i
\(310\) −0.141093 + 0.0902991i −0.00801356 + 0.00512864i
\(311\) 17.0529 + 5.00719i 0.966982 + 0.283932i 0.726840 0.686806i \(-0.240988\pi\)
0.240142 + 0.970738i \(0.422806\pi\)
\(312\) −0.135523 + 0.363351i −0.00767248 + 0.0205707i
\(313\) −13.3095 + 9.96338i −0.752299 + 0.563164i −0.905153 0.425085i \(-0.860244\pi\)
0.152855 + 0.988249i \(0.451153\pi\)
\(314\) −6.11805 + 7.06060i −0.345261 + 0.398453i
\(315\) 3.53000 + 7.76842i 0.198893 + 0.437701i
\(316\) −3.15798 + 4.91391i −0.177650 + 0.276429i
\(317\) 15.7961 21.1012i 0.887200 1.18516i −0.0946521 0.995510i \(-0.530174\pi\)
0.981852 0.189650i \(-0.0607352\pi\)
\(318\) −12.4484 2.70799i −0.698074 0.151857i
\(319\) 2.06328 + 2.38115i 0.115522 + 0.133319i
\(320\) −2.09656 + 0.777467i −0.117201 + 0.0434617i
\(321\) 17.2404i 0.962266i
\(322\) 12.4393 + 13.4233i 0.693215 + 0.748054i
\(323\) −25.1256 + 25.1256i −1.39803 + 1.39803i
\(324\) 0.281733 + 0.959493i 0.0156518 + 0.0533052i
\(325\) −1.93458 + 0.131020i −0.107311 + 0.00726767i
\(326\) 13.6285 8.75849i 0.754812 0.485088i
\(327\) −9.75851 7.30513i −0.539647 0.403975i
\(328\) 5.78699 1.25888i 0.319533 0.0695102i
\(329\) 16.3192 35.7341i 0.899707 1.97008i
\(330\) −1.30755 + 1.73982i −0.0719782 + 0.0957739i
\(331\) 4.05028 28.1703i 0.222624 1.54838i −0.505434 0.862865i \(-0.668667\pi\)
0.728057 0.685516i \(-0.240423\pi\)
\(332\) 3.34517 + 1.24768i 0.183590 + 0.0684756i
\(333\) −4.09065 7.49147i −0.224166 0.410530i
\(334\) −3.68715 + 12.5573i −0.201752 + 0.687103i
\(335\) −2.97701 + 10.0684i −0.162652 + 0.550094i
\(336\) −3.77716 0.543073i −0.206061 0.0296271i
\(337\) 1.98422 + 27.7431i 0.108088 + 1.51126i 0.705145 + 0.709063i \(0.250882\pi\)
−0.597058 + 0.802198i \(0.703664\pi\)
\(338\) 4.49048 + 12.0394i 0.244250 + 0.654859i
\(339\) 11.3116 + 7.26949i 0.614359 + 0.394825i
\(340\) 11.8517 + 7.64827i 0.642746 + 0.414786i
\(341\) −0.0394211 0.0613404i −0.00213477 0.00332177i
\(342\) 5.61861 + 0.401851i 0.303820 + 0.0217296i
\(343\) −1.88175 1.02751i −0.101605 0.0554805i
\(344\) −1.94075 −0.104638
\(345\) −5.51090 + 9.19945i −0.296697 + 0.495282i
\(346\) 7.60886 0.409055
\(347\) 1.98019 + 1.08127i 0.106302 + 0.0580454i 0.531520 0.847045i \(-0.321621\pi\)
−0.425218 + 0.905091i \(0.639803\pi\)
\(348\) −3.22887 0.230933i −0.173086 0.0123793i
\(349\) −3.55257 5.52791i −0.190165 0.295902i 0.733059 0.680165i \(-0.238092\pi\)
−0.923224 + 0.384263i \(0.874456\pi\)
\(350\) −5.30625 18.3273i −0.283631 0.979635i
\(351\) −0.326240 0.209662i −0.0174134 0.0111909i
\(352\) −0.340137 0.911942i −0.0181293 0.0486067i
\(353\) −2.28504 31.9490i −0.121620 1.70047i −0.582355 0.812935i \(-0.697869\pi\)
0.460735 0.887538i \(-0.347586\pi\)
\(354\) −12.1099 1.74115i −0.643636 0.0925409i
\(355\) −7.98528 + 4.34073i −0.423814 + 0.230382i
\(356\) −0.357322 + 1.21693i −0.0189380 + 0.0644971i
\(357\) 11.5363 + 21.1271i 0.610563 + 1.11816i
\(358\) 23.2361 + 8.66661i 1.22806 + 0.458044i
\(359\) −3.31404 + 23.0497i −0.174908 + 1.21652i 0.693423 + 0.720531i \(0.256102\pi\)
−0.868331 + 0.495984i \(0.834807\pi\)
\(360\) −0.314044 2.21391i −0.0165516 0.116683i
\(361\) 5.28833 11.5798i 0.278333 0.609465i
\(362\) 23.2213 5.05149i 1.22049 0.265500i
\(363\) 8.04758 + 6.02434i 0.422388 + 0.316196i
\(364\) 1.24493 0.800069i 0.0652522 0.0419350i
\(365\) 0.00945754 5.00672i 0.000495030 0.262064i
\(366\) −2.02135 6.88407i −0.105657 0.359836i
\(367\) −18.2764 + 18.2764i −0.954020 + 0.954020i −0.998988 0.0449685i \(-0.985681\pi\)
0.0449685 + 0.998988i \(0.485681\pi\)
\(368\) −2.13670 4.29354i −0.111383 0.223816i
\(369\) 5.92233i 0.308304i
\(370\) 6.63610 + 17.8952i 0.344994 + 0.930329i
\(371\) 31.8355 + 36.7402i 1.65282 + 1.90746i
\(372\) 0.0732029 + 0.0159243i 0.00379539 + 0.000825638i
\(373\) 6.57802 8.78721i 0.340597 0.454984i −0.597239 0.802063i \(-0.703736\pi\)
0.937836 + 0.347079i \(0.112826\pi\)
\(374\) −3.31937 + 5.16503i −0.171640 + 0.267078i
\(375\) 9.43960 5.99115i 0.487459 0.309382i
\(376\) −6.74152 + 7.78013i −0.347667 + 0.401229i
\(377\) 1.00497 0.752310i 0.0517585 0.0387460i
\(378\) 1.33355 3.57540i 0.0685907 0.183899i
\(379\) 4.88542 + 1.43449i 0.250947 + 0.0736848i 0.404787 0.914411i \(-0.367346\pi\)
−0.153840 + 0.988096i \(0.549164\pi\)
\(380\) −12.3028 2.70065i −0.631118 0.138540i
\(381\) −0.323113 0.707519i −0.0165536 0.0362473i
\(382\) 3.44313 + 4.59948i 0.176166 + 0.235330i
\(383\) −2.24872 + 0.160832i −0.114904 + 0.00821813i −0.128673 0.991687i \(-0.541072\pi\)
0.0137685 + 0.999905i \(0.495617\pi\)
\(384\) 0.909632 + 0.415415i 0.0464195 + 0.0211991i
\(385\) 7.97308 2.32476i 0.406346 0.118481i
\(386\) −0.646292 4.49506i −0.0328954 0.228792i
\(387\) 0.412536 1.89640i 0.0209704 0.0963993i
\(388\) 0.949578 13.2768i 0.0482075 0.674029i
\(389\) −26.2514 + 7.70811i −1.33100 + 0.390816i −0.868450 0.495777i \(-0.834883\pi\)
−0.462549 + 0.886594i \(0.653065\pi\)
\(390\) 0.654276 + 0.569101i 0.0331306 + 0.0288176i
\(391\) −13.6045 + 27.0208i −0.688008 + 1.36650i
\(392\) 5.34703 + 5.34703i 0.270066 + 0.270066i
\(393\) −3.13331 + 5.73822i −0.158054 + 0.289455i
\(394\) −11.7152 + 10.1513i −0.590205 + 0.511416i
\(395\) 7.80756 + 10.4709i 0.392841 + 0.526846i
\(396\) 0.963402 0.138516i 0.0484128 0.00696071i
\(397\) −0.505823 2.32523i −0.0253865 0.116700i 0.962710 0.270536i \(-0.0872009\pi\)
−0.988096 + 0.153836i \(0.950837\pi\)
\(398\) 3.21070 1.19753i 0.160938 0.0600267i
\(399\) −16.2451 14.0765i −0.813273 0.704705i
\(400\) −0.0188896 + 4.99996i −0.000944481 + 0.249998i
\(401\) −20.0093 + 9.13794i −0.999217 + 0.456327i −0.846755 0.531983i \(-0.821447\pi\)
−0.152461 + 0.988309i \(0.548720\pi\)
\(402\) 4.12107 2.25028i 0.205540 0.112234i
\(403\) −0.0254985 + 0.0139232i −0.00127017 + 0.000693566i
\(404\) 9.91708 4.52898i 0.493393 0.225325i
\(405\) 2.23007 + 0.163732i 0.110813 + 0.00813591i
\(406\) 9.33565 + 8.08939i 0.463321 + 0.401470i
\(407\) −7.78392 + 2.90325i −0.385835 + 0.143909i
\(408\) −1.34087 6.16390i −0.0663831 0.305158i
\(409\) 27.9282 4.01547i 1.38096 0.198552i 0.588512 0.808488i \(-0.299714\pi\)
0.792451 + 0.609936i \(0.208805\pi\)
\(410\) 1.90940 13.1044i 0.0942983 0.647179i
\(411\) −4.67158 + 4.04795i −0.230432 + 0.199671i
\(412\) 5.67500 10.3930i 0.279587 0.512025i
\(413\) 33.0125 + 33.0125i 1.62444 + 1.62444i
\(414\) 4.64961 1.17521i 0.228516 0.0577583i
\(415\) 5.23940 6.02356i 0.257192 0.295685i
\(416\) −0.372094 + 0.109257i −0.0182434 + 0.00535674i
\(417\) −1.27569 + 17.8365i −0.0624710 + 0.873459i
\(418\) 1.16541 5.35732i 0.0570022 0.262035i
\(419\) 2.07037 + 14.3998i 0.101144 + 0.703475i 0.975790 + 0.218711i \(0.0701853\pi\)
−0.874645 + 0.484764i \(0.838906\pi\)
\(420\) −4.10349 + 7.48135i −0.200230 + 0.365053i
\(421\) 13.0428 + 5.95647i 0.635670 + 0.290301i 0.707066 0.707147i \(-0.250018\pi\)
−0.0713966 + 0.997448i \(0.522746\pi\)
\(422\) −1.04318 + 0.0746097i −0.0507812 + 0.00363194i
\(423\) −6.16931 8.24124i −0.299962 0.400703i
\(424\) −5.29221 11.5883i −0.257013 0.562779i
\(425\) 25.3205 18.8059i 1.22823 0.912218i
\(426\) 3.89999 + 1.14514i 0.188955 + 0.0554823i
\(427\) −9.56786 + 25.6524i −0.463021 + 1.24141i
\(428\) 13.8017 10.3318i 0.667128 0.499406i
\(429\) −0.247178 + 0.285259i −0.0119339 + 0.0137724i
\(430\) −1.52423 + 4.06316i −0.0735048 + 0.195943i
\(431\) −4.06779 + 6.32960i −0.195938 + 0.304886i −0.925295 0.379247i \(-0.876183\pi\)
0.729357 + 0.684133i \(0.239819\pi\)
\(432\) −0.599278 + 0.800541i −0.0288328 + 0.0385161i
\(433\) −4.84668 1.05433i −0.232917 0.0506679i 0.0945918 0.995516i \(-0.469845\pi\)
−0.327509 + 0.944848i \(0.606209\pi\)
\(434\) −0.187209 0.216050i −0.00898630 0.0103707i
\(435\) −3.01938 + 6.57860i −0.144768 + 0.315420i
\(436\) 12.1899i 0.583790i
\(437\) 2.95033 26.8531i 0.141133 1.28456i
\(438\) −1.58327 + 1.58327i −0.0756515 + 0.0756515i
\(439\) −5.84276 19.8986i −0.278860 0.949709i −0.973180 0.230043i \(-0.926113\pi\)
0.694321 0.719666i \(-0.255705\pi\)
\(440\) −2.17638 0.00411112i −0.103755 0.000195990i
\(441\) −6.36143 + 4.08824i −0.302925 + 0.194678i
\(442\) 1.95835 + 1.46600i 0.0931491 + 0.0697305i
\(443\) 24.6639 5.36531i 1.17182 0.254914i 0.415795 0.909458i \(-0.363503\pi\)
0.756023 + 0.654545i \(0.227140\pi\)
\(444\) 3.54579 7.76420i 0.168276 0.368473i
\(445\) 2.26713 + 1.70384i 0.107472 + 0.0807700i
\(446\) 2.07097 14.4039i 0.0980634 0.682046i
\(447\) −22.0228 8.21409i −1.04164 0.388513i
\(448\) −1.82881 3.34922i −0.0864033 0.158236i
\(449\) 5.27726 17.9727i 0.249050 0.848185i −0.736157 0.676811i \(-0.763361\pi\)
0.985206 0.171374i \(-0.0548205\pi\)
\(450\) −4.88168 1.08128i −0.230125 0.0509719i
\(451\) 5.70559 + 0.820340i 0.268666 + 0.0386283i
\(452\) 0.959231 + 13.4118i 0.0451184 + 0.630838i
\(453\) −2.62282 7.03205i −0.123231 0.330395i
\(454\) −7.96365 5.11792i −0.373752 0.240196i
\(455\) −0.697281 3.23475i −0.0326890 0.151648i
\(456\) 3.04541 + 4.73875i 0.142614 + 0.221912i
\(457\) 29.5147 + 2.11093i 1.38064 + 0.0987452i 0.741813 0.670607i \(-0.233966\pi\)
0.638825 + 0.769352i \(0.279421\pi\)
\(458\) −2.91248 1.59033i −0.136091 0.0743114i
\(459\) 6.30805 0.294435
\(460\) −10.6671 + 1.10132i −0.497356 + 0.0513495i
\(461\) 40.7854 1.89956 0.949782 0.312911i \(-0.101304\pi\)
0.949782 + 0.312911i \(0.101304\pi\)
\(462\) −3.25983 1.78000i −0.151661 0.0828132i
\(463\) −20.5689 1.47112i −0.955918 0.0683686i −0.415343 0.909665i \(-0.636339\pi\)
−0.540574 + 0.841296i \(0.681793\pi\)
\(464\) −1.75012 2.72324i −0.0812472 0.126423i
\(465\) 0.0908315 0.140751i 0.00421221 0.00652718i
\(466\) 5.38537 + 3.46097i 0.249472 + 0.160326i
\(467\) −10.4118 27.9151i −0.481801 1.29176i −0.919660 0.392715i \(-0.871536\pi\)
0.437859 0.899044i \(-0.355737\pi\)
\(468\) −0.0276655 0.386814i −0.00127884 0.0178805i
\(469\) −17.7353 2.54996i −0.818942 0.117746i
\(470\) 10.9938 + 20.2244i 0.507108 + 0.932884i
\(471\) 2.63209 8.96408i 0.121280 0.413043i
\(472\) −5.86336 10.7379i −0.269883 0.494254i
\(473\) −1.76985 0.660120i −0.0813778 0.0303523i
\(474\) 0.831286 5.78172i 0.0381822 0.265563i
\(475\) −15.3164 + 23.6360i −0.702767 + 1.08450i
\(476\) −9.99967 + 21.8962i −0.458334 + 1.00361i
\(477\) 12.4484 2.70799i 0.569975 0.123990i
\(478\) −4.91195 3.67704i −0.224667 0.168184i
\(479\) −15.8082 + 10.1593i −0.722296 + 0.464192i −0.849435 0.527693i \(-0.823057\pi\)
0.127139 + 0.991885i \(0.459421\pi\)
\(480\) 1.58412 1.57815i 0.0723050 0.0720323i
\(481\) 0.932564 + 3.17602i 0.0425213 + 0.144814i
\(482\) −3.18989 + 3.18989i −0.145296 + 0.145296i
\(483\) −16.8914 7.04283i −0.768588 0.320460i
\(484\) 10.0527i 0.456940i
\(485\) −27.0506 12.4154i −1.22831 0.563755i
\(486\) −0.654861 0.755750i −0.0297051 0.0342815i
\(487\) −25.6323 5.57596i −1.16151 0.252671i −0.409806 0.912173i \(-0.634404\pi\)
−0.751703 + 0.659502i \(0.770767\pi\)
\(488\) 4.29964 5.74364i 0.194635 0.260003i
\(489\) −8.75849 + 13.6285i −0.396073 + 0.616301i
\(490\) 15.3940 6.99510i 0.695431 0.316007i
\(491\) 16.5050 19.0478i 0.744861 0.859615i −0.249199 0.968452i \(-0.580167\pi\)
0.994060 + 0.108837i \(0.0347127\pi\)
\(492\) −4.74107 + 3.54912i −0.213744 + 0.160007i
\(493\) −7.13603 + 19.1324i −0.321390 + 0.861681i
\(494\) −2.09599 0.615438i −0.0943030 0.0276899i
\(495\) 0.466640 2.12577i 0.0209739 0.0955463i
\(496\) 0.0311208 + 0.0681450i 0.00139737 + 0.00305980i
\(497\) −9.29520 12.4169i −0.416947 0.556975i
\(498\) −3.56118 + 0.254701i −0.159580 + 0.0114134i
\(499\) 26.0877 + 11.9138i 1.16784 + 0.533336i 0.902446 0.430803i \(-0.141769\pi\)
0.265398 + 0.964139i \(0.414497\pi\)
\(500\) 10.4531 + 3.96643i 0.467477 + 0.177384i
\(501\) −1.86253 12.9542i −0.0832118 0.578751i
\(502\) −3.58045 + 16.4590i −0.159803 + 0.734603i
\(503\) −3.02376 + 42.2777i −0.134823 + 1.88507i 0.258991 + 0.965880i \(0.416610\pi\)
−0.393814 + 0.919190i \(0.628845\pi\)
\(504\) 3.66142 1.07509i 0.163093 0.0478884i
\(505\) −1.69319 24.3194i −0.0753460 1.08220i
\(506\) −0.488151 4.64223i −0.0217010 0.206372i
\(507\) −9.08605 9.08605i −0.403525 0.403525i
\(508\) 0.372763 0.682665i 0.0165387 0.0302884i
\(509\) −8.01055 + 6.94118i −0.355061 + 0.307662i −0.814067 0.580771i \(-0.802751\pi\)
0.459006 + 0.888433i \(0.348206\pi\)
\(510\) −13.9578 2.03375i −0.618064 0.0900561i
\(511\) 8.45735 1.21598i 0.374131 0.0537920i
\(512\) 0.212565 + 0.977147i 0.00939415 + 0.0431842i
\(513\) −5.27780 + 1.96852i −0.233021 + 0.0869122i
\(514\) 4.52431 + 3.92034i 0.199559 + 0.172919i
\(515\) −17.3017 20.0436i −0.762406 0.883229i
\(516\) 1.76537 0.806216i 0.0777160 0.0354917i
\(517\) −8.79418 + 4.80199i −0.386768 + 0.211191i
\(518\) −28.5874 + 15.6099i −1.25606 + 0.685860i
\(519\) −6.92126 + 3.16083i −0.303810 + 0.138745i
\(520\) −0.0634957 + 0.864825i −0.00278447 + 0.0379251i
\(521\) −19.8959 17.2399i −0.871654 0.755292i 0.0991738 0.995070i \(-0.468380\pi\)
−0.970828 + 0.239778i \(0.922925\pi\)
\(522\) 3.03302 1.13126i 0.132752 0.0495138i
\(523\) 1.92103 + 8.83084i 0.0840008 + 0.386146i 0.999883 0.0153018i \(-0.00487091\pi\)
−0.915882 + 0.401447i \(0.868507\pi\)
\(524\) −6.47140 + 0.930447i −0.282704 + 0.0406468i
\(525\) 12.4402 + 14.4668i 0.542934 + 0.631383i
\(526\) 5.26913 4.56573i 0.229745 0.199075i
\(527\) 0.226478 0.414763i 0.00986552 0.0180673i
\(528\) 0.688234 + 0.688234i 0.0299515 + 0.0299515i
\(529\) −4.78420 22.4969i −0.208009 0.978127i
\(530\) −28.4178 + 1.97853i −1.23439 + 0.0859419i
\(531\) 11.7389 3.44685i 0.509425 0.149581i
\(532\) 1.53346 21.4406i 0.0664840 0.929568i
\(533\) 0.488198 2.24421i 0.0211462 0.0972075i
\(534\) −0.180498 1.25539i −0.00781093 0.0543262i
\(535\) −10.7911 37.0096i −0.466540 1.60006i
\(536\) 4.27111 + 1.95055i 0.184484 + 0.0842509i
\(537\) −24.7365 + 1.76919i −1.06746 + 0.0763462i
\(538\) 6.48217 + 8.65917i 0.279466 + 0.373323i
\(539\) 3.05746 + 6.69491i 0.131694 + 0.288370i
\(540\) 1.20535 + 1.88338i 0.0518702 + 0.0810478i
\(541\) −20.1977 5.93057i −0.868366 0.254975i −0.182946 0.983123i \(-0.558563\pi\)
−0.685420 + 0.728148i \(0.740381\pi\)
\(542\) 6.19060 16.5976i 0.265909 0.712929i
\(543\) −19.0244 + 14.2415i −0.816415 + 0.611160i
\(544\) 4.13090 4.76731i 0.177111 0.204397i
\(545\) −25.5208 9.57372i −1.09319 0.410093i
\(546\) −0.800069 + 1.24493i −0.0342398 + 0.0532782i
\(547\) −0.812063 + 1.08479i −0.0347213 + 0.0463822i −0.817566 0.575835i \(-0.804677\pi\)
0.782845 + 0.622217i \(0.213768\pi\)
\(548\) −6.04013 1.31395i −0.258021 0.0561291i
\(549\) 4.69843 + 5.42228i 0.200524 + 0.231417i
\(550\) −1.71790 + 4.55325i −0.0732514 + 0.194151i
\(551\) 18.2346i 0.776818i
\(552\) 3.72721 + 3.01793i 0.158641 + 0.128452i
\(553\) −15.7614 + 15.7614i −0.670241 + 0.670241i
\(554\) −1.95791 6.66801i −0.0831834 0.283297i
\(555\) −13.4704 13.5213i −0.571785 0.573949i
\(556\) −15.0434 + 9.66779i −0.637981 + 0.410006i
\(557\) −25.8650 19.3623i −1.09593 0.820406i −0.111084 0.993811i \(-0.535432\pi\)
−0.984851 + 0.173405i \(0.944523\pi\)
\(558\) −0.0732029 + 0.0159243i −0.00309893 + 0.000674130i
\(559\) −0.312653 + 0.684614i −0.0132238 + 0.0289561i
\(560\) −8.44826 + 1.19839i −0.357004 + 0.0506413i
\(561\) 0.873769 6.07719i 0.0368905 0.256579i
\(562\) −1.59553 0.595103i −0.0673035 0.0251029i
\(563\) −14.5654 26.6745i −0.613857 1.12420i −0.980996 0.194029i \(-0.937844\pi\)
0.367139 0.930166i \(-0.380337\pi\)
\(564\) 2.90032 9.87758i 0.122125 0.415921i
\(565\) 28.8324 + 8.52514i 1.21299 + 0.358655i
\(566\) −26.1483 3.75956i −1.09910 0.158026i
\(567\) 0.272230 + 3.80628i 0.0114326 + 0.159849i
\(568\) 1.42045 + 3.80836i 0.0596006 + 0.159795i
\(569\) 23.9467 + 15.3896i 1.00390 + 0.645167i 0.935807 0.352512i \(-0.114673\pi\)
0.0680917 + 0.997679i \(0.478309\pi\)
\(570\) 12.3129 2.65415i 0.515729 0.111170i
\(571\) 3.09902 + 4.82216i 0.129690 + 0.201801i 0.900025 0.435837i \(-0.143548\pi\)
−0.770336 + 0.637639i \(0.779911\pi\)
\(572\) −0.376490 0.0269271i −0.0157418 0.00112588i
\(573\) −5.04267 2.75351i −0.210661 0.115029i
\(574\) 22.5996 0.943290
\(575\) −6.07201 + 23.1976i −0.253220 + 0.967409i
\(576\) −1.00000 −0.0416667
\(577\) 9.65305 + 5.27096i 0.401862 + 0.219433i 0.667452 0.744653i \(-0.267385\pi\)
−0.265590 + 0.964086i \(0.585567\pi\)
\(578\) −22.7335 1.62593i −0.945588 0.0676298i
\(579\) 2.45520 + 3.82037i 0.102035 + 0.158769i
\(580\) −7.07589 + 1.52527i −0.293810 + 0.0633335i
\(581\) 11.4614 + 7.36579i 0.475499 + 0.305584i
\(582\) 4.65163 + 12.4715i 0.192816 + 0.516960i
\(583\) −0.884574 12.3680i −0.0366353 0.512229i
\(584\) −2.21629 0.318654i −0.0917107 0.0131860i
\(585\) −0.831564 0.245876i −0.0343809 0.0101657i
\(586\) −3.74801 + 12.7646i −0.154829 + 0.527299i
\(587\) 23.0673 + 42.2446i 0.952090 + 1.74362i 0.577361 + 0.816489i \(0.304082\pi\)
0.374729 + 0.927134i \(0.377736\pi\)
\(588\) −7.08507 2.64259i −0.292183 0.108979i
\(589\) −0.0600559 + 0.417698i −0.00247456 + 0.0172109i
\(590\) −27.0860 + 3.84217i −1.11511 + 0.158179i
\(591\) 6.43955 14.1006i 0.264888 0.580023i
\(592\) 8.34048 1.81436i 0.342792 0.0745697i
\(593\) 17.5347 + 13.1263i 0.720062 + 0.539032i 0.895283 0.445497i \(-0.146973\pi\)
−0.175221 + 0.984529i \(0.556064\pi\)
\(594\) −0.818800 + 0.526211i −0.0335958 + 0.0215907i
\(595\) 37.9885 + 38.1323i 1.55738 + 1.56327i
\(596\) −6.62207 22.5527i −0.271251 0.923795i
\(597\) −2.42308 + 2.42308i −0.0991702 + 0.0991702i
\(598\) −1.85880 + 0.0620502i −0.0760120 + 0.00253742i
\(599\) 3.34715i 0.136761i 0.997659 + 0.0683805i \(0.0217832\pi\)
−0.997659 + 0.0683805i \(0.978217\pi\)
\(600\) −2.05988 4.55597i −0.0840942 0.185997i
\(601\) 12.4486 + 14.3665i 0.507790 + 0.586021i 0.950531 0.310628i \(-0.100539\pi\)
−0.442741 + 0.896649i \(0.645994\pi\)
\(602\) −7.23665 1.57424i −0.294944 0.0641611i
\(603\) −2.81386 + 3.75888i −0.114589 + 0.153073i
\(604\) 4.05765 6.31383i 0.165103 0.256906i
\(605\) 21.0463 + 7.89518i 0.855654 + 0.320985i
\(606\) −7.13949 + 8.23941i −0.290022 + 0.334703i
\(607\) 17.6523 13.2144i 0.716486 0.536354i −0.177681 0.984088i \(-0.556860\pi\)
0.894167 + 0.447734i \(0.147769\pi\)
\(608\) −1.96852 + 5.27780i −0.0798339 + 0.214043i
\(609\) −11.8525 3.48020i −0.480286 0.141025i
\(610\) −8.64805 13.5127i −0.350149 0.547113i
\(611\) 1.65845 + 3.63149i 0.0670936 + 0.146914i
\(612\) 3.78028 + 5.04986i 0.152809 + 0.204128i
\(613\) −45.3100 + 3.24063i −1.83005 + 0.130888i −0.943423 0.331591i \(-0.892415\pi\)
−0.886630 + 0.462479i \(0.846960\pi\)
\(614\) −0.374782 0.171157i −0.0151250 0.00690735i
\(615\) 3.70690 + 12.7133i 0.149477 + 0.512651i
\(616\) −0.528578 3.67634i −0.0212970 0.148124i
\(617\) −0.646927 + 2.97387i −0.0260443 + 0.119724i −0.988334 0.152304i \(-0.951331\pi\)
0.962289 + 0.272028i \(0.0876943\pi\)
\(618\) −0.844758 + 11.8113i −0.0339812 + 0.475119i
\(619\) 44.5335 13.0762i 1.78995 0.525577i 0.793410 0.608687i \(-0.208304\pi\)
0.996540 + 0.0831103i \(0.0264854\pi\)
\(620\) 0.167110 0.0116347i 0.00671132 0.000467262i
\(621\) −3.74124 + 3.00053i −0.150131 + 0.120407i
\(622\) −12.5673 12.5673i −0.503903 0.503903i
\(623\) −2.31949 + 4.24783i −0.0929284 + 0.170186i
\(624\) 0.293081 0.253957i 0.0117326 0.0101664i
\(625\) 16.5138 18.7695i 0.660552 0.750780i
\(626\) 16.4564 2.36608i 0.657731 0.0945675i
\(627\) 1.16541 + 5.35732i 0.0465421 + 0.213951i
\(628\) 8.75347 3.26488i 0.349301 0.130283i
\(629\) −40.6916 35.2594i −1.62248 1.40589i
\(630\) 0.624801 8.50993i 0.0248927 0.339044i
\(631\) −38.8330 + 17.7344i −1.54592 + 0.705996i −0.991960 0.126550i \(-0.959610\pi\)
−0.553956 + 0.832546i \(0.686882\pi\)
\(632\) 5.12668 2.79938i 0.203928 0.111353i
\(633\) 0.917916 0.501220i 0.0364839 0.0199217i
\(634\) −23.9767 + 10.9498i −0.952235 + 0.434871i
\(635\) −1.13647 1.31657i −0.0450994 0.0522466i
\(636\) 9.62793 + 8.34265i 0.381772 + 0.330808i
\(637\) 2.74761 1.02480i 0.108864 0.0406042i
\(638\) −0.669733 3.07871i −0.0265150 0.121887i
\(639\) −4.02327 + 0.578459i −0.159158 + 0.0228835i
\(640\) 2.21270 + 0.322406i 0.0874648 + 0.0127442i
\(641\) −20.4667 + 17.7345i −0.808385 + 0.700470i −0.957526 0.288346i \(-0.906895\pi\)
0.149141 + 0.988816i \(0.452349\pi\)
\(642\) −8.26245 + 15.1315i −0.326093 + 0.597194i
\(643\) −32.8220 32.8220i −1.29437 1.29437i −0.932055 0.362316i \(-0.881986\pi\)
−0.362316 0.932055i \(-0.618014\pi\)
\(644\) −4.48459 17.7429i −0.176718 0.699169i
\(645\) −0.301410 4.32917i −0.0118680 0.170461i
\(646\) 34.0937 10.0108i 1.34140 0.393870i
\(647\) −0.0598213 + 0.836411i −0.00235182 + 0.0328827i −0.998493 0.0548881i \(-0.982520\pi\)
0.996141 + 0.0877708i \(0.0279743\pi\)
\(648\) 0.212565 0.977147i 0.00835035 0.0383860i
\(649\) −1.69467 11.7867i −0.0665218 0.462669i
\(650\) 1.76073 + 0.812152i 0.0690616 + 0.0318552i
\(651\) 0.260041 + 0.118757i 0.0101918 + 0.00465445i
\(652\) −16.1589 + 1.15571i −0.632832 + 0.0452611i
\(653\) 17.9671 + 24.0012i 0.703106 + 0.939239i 0.999877 0.0157094i \(-0.00500066\pi\)
−0.296771 + 0.954949i \(0.595910\pi\)
\(654\) 5.06386 + 11.0883i 0.198013 + 0.433587i
\(655\) −3.13453 + 14.2793i −0.122476 + 0.557939i
\(656\) −5.68244 1.66851i −0.221862 0.0651445i
\(657\) 0.782478 2.09790i 0.0305274 0.0818470i
\(658\) −31.4486 + 23.5421i −1.22599 + 0.917766i
\(659\) −12.5771 + 14.5147i −0.489934 + 0.565414i −0.945848 0.324610i \(-0.894767\pi\)
0.455914 + 0.890024i \(0.349312\pi\)
\(660\) 1.98141 0.900362i 0.0771265 0.0350465i
\(661\) −0.970932 + 1.51080i −0.0377649 + 0.0587633i −0.859623 0.510929i \(-0.829301\pi\)
0.821858 + 0.569693i \(0.192938\pi\)
\(662\) −17.0555 + 22.7834i −0.662879 + 0.885503i
\(663\) −2.39037 0.519994i −0.0928344 0.0201949i
\(664\) −2.33804 2.69824i −0.0907334 0.104712i
\(665\) −43.6838 20.0495i −1.69398 0.777487i
\(666\) 8.53554i 0.330746i
\(667\) −4.86834 14.7416i −0.188503 0.570797i
\(668\) 9.25419 9.25419i 0.358056 0.358056i
\(669\) 4.09979 + 13.9626i 0.158507 + 0.539825i
\(670\) 7.43812 7.41008i 0.287360 0.286276i
\(671\) 5.87464 3.77540i 0.226788 0.145748i
\(672\) 3.05486 + 2.28684i 0.117844 + 0.0882169i
\(673\) −0.167349 + 0.0364046i −0.00645083 + 0.00140329i −0.215790 0.976440i \(-0.569233\pi\)
0.209339 + 0.977843i \(0.432869\pi\)
\(674\) 11.5543 25.3004i 0.445056 0.974537i
\(675\) 4.88971 1.04436i 0.188205 0.0401975i
\(676\) 1.82869 12.7188i 0.0703342 0.489185i
\(677\) 47.6441 + 17.7703i 1.83111 + 0.682969i 0.989809 + 0.142403i \(0.0454830\pi\)
0.841302 + 0.540566i \(0.181790\pi\)
\(678\) −6.44401 11.8013i −0.247481 0.453227i
\(679\) 14.3103 48.7363i 0.549178 1.87033i
\(680\) −6.73652 12.3926i −0.258334 0.475235i
\(681\) 9.37005 + 1.34721i 0.359061 + 0.0516252i
\(682\) 0.00520173 + 0.0727296i 0.000199184 + 0.00278496i
\(683\) 6.01902 + 16.1376i 0.230311 + 0.617488i 0.999775 0.0212019i \(-0.00674929\pi\)
−0.769464 + 0.638690i \(0.779477\pi\)
\(684\) −4.73875 3.04541i −0.181191 0.116444i
\(685\) −7.49469 + 11.6137i −0.286358 + 0.443736i
\(686\) 1.15914 + 1.80365i 0.0442561 + 0.0688638i
\(687\) 3.30993 + 0.236731i 0.126282 + 0.00903185i
\(688\) 1.70335 + 0.930102i 0.0649398 + 0.0354598i
\(689\) −4.94044 −0.188216
\(690\) 9.24563 5.43307i 0.351975 0.206834i
\(691\) 11.7454 0.446816 0.223408 0.974725i \(-0.428282\pi\)
0.223408 + 0.974725i \(0.428282\pi\)
\(692\) −6.67813 3.64654i −0.253865 0.138621i
\(693\) 3.70468 + 0.264964i 0.140729 + 0.0100652i
\(694\) −1.21978 1.89801i −0.0463021 0.0720474i
\(695\) 8.42573 + 39.0878i 0.319606 + 1.48268i
\(696\) 2.72324 + 1.75012i 0.103224 + 0.0663380i
\(697\) 13.0554 + 35.0029i 0.494509 + 1.32583i
\(698\) 0.468772 + 6.55430i 0.0177433 + 0.248084i
\(699\) −6.33644 0.911043i −0.239666 0.0344588i
\(700\) −4.12615 + 18.6285i −0.155954 + 0.704091i
\(701\) −1.57999 + 5.38096i −0.0596755 + 0.203236i −0.983934 0.178530i \(-0.942866\pi\)
0.924259 + 0.381766i \(0.124684\pi\)
\(702\) 0.185854 + 0.340366i 0.00701460 + 0.0128463i
\(703\) 45.0489 + 16.8024i 1.69905 + 0.633713i
\(704\) −0.138516 + 0.963402i −0.00522053 + 0.0363096i
\(705\) −18.4019 13.8298i −0.693055 0.520860i
\(706\) −13.3060 + 29.1361i −0.500778 + 1.09655i
\(707\) 40.6524 8.84339i 1.52889 0.332590i
\(708\) 9.79420 + 7.33185i 0.368089 + 0.275548i
\(709\) −14.9460 + 9.60521i −0.561309 + 0.360731i −0.790322 0.612692i \(-0.790087\pi\)
0.229013 + 0.973423i \(0.426450\pi\)
\(710\) 9.08880 + 0.0171685i 0.341097 + 0.000644321i
\(711\) 1.64565 + 5.60457i 0.0617167 + 0.210188i
\(712\) 0.896826 0.896826i 0.0336100 0.0336100i
\(713\) 0.0629671 + 0.353719i 0.00235814 + 0.0132469i
\(714\) 24.0715i 0.900854i
\(715\) −0.352063 + 0.767073i −0.0131664 + 0.0286869i
\(716\) −16.2403 18.7424i −0.606930 0.700435i
\(717\) 5.99556 + 1.30425i 0.223908 + 0.0487083i
\(718\) 13.9552 18.6420i 0.520803 0.695712i
\(719\) 5.39152 8.38937i 0.201070 0.312871i −0.726046 0.687646i \(-0.758644\pi\)
0.927115 + 0.374776i \(0.122280\pi\)
\(720\) −0.785382 + 2.09360i −0.0292695 + 0.0780240i
\(721\) 29.5911 34.1500i 1.10203 1.27181i
\(722\) −10.1911 + 7.62895i −0.379273 + 0.283920i
\(723\) 1.57650 4.22676i 0.0586307 0.157195i
\(724\) −22.8018 6.69521i −0.847422 0.248825i
\(725\) −2.36396 + 16.0120i −0.0877952 + 0.594672i
\(726\) −4.17603 9.14423i −0.154987 0.339374i
\(727\) 6.63141 + 8.85852i 0.245945 + 0.328544i 0.906478 0.422253i \(-0.138761\pi\)
−0.660533 + 0.750797i \(0.729670\pi\)
\(728\) −1.47608 + 0.105572i −0.0547073 + 0.00391274i
\(729\) 0.909632 + 0.415415i 0.0336901 + 0.0153857i
\(730\) −2.40777 + 4.38976i −0.0891155 + 0.162472i
\(731\) −1.74227 12.1177i −0.0644401 0.448191i
\(732\) −1.52509 + 7.01074i −0.0563690 + 0.259124i
\(733\) −3.71338 + 51.9199i −0.137157 + 1.91770i 0.206219 + 0.978506i \(0.433884\pi\)
−0.343376 + 0.939198i \(0.611570\pi\)
\(734\) 24.7997 7.28186i 0.915375 0.268778i
\(735\) −11.0970 + 12.7579i −0.409320 + 0.470582i
\(736\) −0.182343 + 4.79236i −0.00672126 + 0.176649i
\(737\) 3.23155 + 3.23155i 0.119036 + 0.119036i
\(738\) 2.83827 5.19791i 0.104478 0.191338i
\(739\) 15.7237 13.6247i 0.578407 0.501193i −0.315812 0.948822i \(-0.602277\pi\)
0.894219 + 0.447629i \(0.147731\pi\)
\(740\) 2.75191 18.8866i 0.101162 0.694286i
\(741\) 2.16224 0.310883i 0.0794319 0.0114206i
\(742\) −10.3337 47.5032i −0.379362 1.74390i
\(743\) 22.4603 8.37725i 0.823987 0.307331i 0.0981273 0.995174i \(-0.468715\pi\)
0.725860 + 0.687842i \(0.241442\pi\)
\(744\) −0.0566169 0.0490589i −0.00207568 0.00179859i
\(745\) −52.4173 3.84849i −1.92042 0.140998i
\(746\) −9.98465 + 4.55984i −0.365564 + 0.166948i
\(747\) 3.13356 1.71105i 0.114651 0.0626042i
\(748\) 5.38867 2.94244i 0.197029 0.107586i
\(749\) 59.8441 27.3299i 2.18666 0.998613i
\(750\) −11.1562 + 0.734387i −0.407367 + 0.0268160i
\(751\) −9.27102 8.03339i −0.338304 0.293142i 0.469095 0.883148i \(-0.344580\pi\)
−0.807399 + 0.590005i \(0.799126\pi\)
\(752\) 9.64551 3.59759i 0.351735 0.131191i
\(753\) −3.58045 16.4590i −0.130479 0.599801i
\(754\) −1.24258 + 0.178657i −0.0452522 + 0.00650629i
\(755\) −10.0318 13.4539i −0.365096 0.489637i
\(756\) −2.88394 + 2.49895i −0.104888 + 0.0908859i
\(757\) −15.5440 + 28.4667i −0.564955 + 1.03464i 0.426537 + 0.904470i \(0.359734\pi\)
−0.991492 + 0.130168i \(0.958448\pi\)
\(758\) −3.60036 3.60036i −0.130771 0.130771i
\(759\) 2.37249 + 4.01994i 0.0861160 + 0.145914i
\(760\) 9.50358 + 8.26638i 0.344731 + 0.299853i
\(761\) 14.7640 4.33509i 0.535193 0.157147i −0.00295758 0.999996i \(-0.500941\pi\)
0.538150 + 0.842849i \(0.319123\pi\)
\(762\) −0.0554882 + 0.775826i −0.00201012 + 0.0281052i
\(763\) 9.88782 45.4536i 0.357963 1.64553i
\(764\) −0.817665 5.68698i −0.0295821 0.205748i
\(765\) 13.5414 3.94833i 0.489589 0.142752i
\(766\) 2.05074 + 0.936540i 0.0740961 + 0.0338386i
\(767\) −4.73247 + 0.338473i −0.170880 + 0.0122215i
\(768\) −0.599278 0.800541i −0.0216246 0.0288870i
\(769\) 17.8823 + 39.1569i 0.644854 + 1.41203i 0.895987 + 0.444081i \(0.146470\pi\)
−0.251133 + 0.967953i \(0.580803\pi\)
\(770\) −8.11194 1.78070i −0.292334 0.0641719i
\(771\) −5.74403 1.68660i −0.206866 0.0607414i
\(772\) −1.58701 + 4.25495i −0.0571179 + 0.153139i
\(773\) 23.3442 17.4752i