Properties

Label 114.2.l.a.71.1
Level $114$
Weight $2$
Character 114.71
Analytic conductor $0.910$
Analytic rank $0$
Dimension $18$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 114 = 2 \cdot 3 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 114.l (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.910294583043\)
Analytic rank: \(0\)
Dimension: \(18\)
Relative dimension: \(3\) over \(\Q(\zeta_{18})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{18} - \cdots)\)
Defining polynomial: \(x^{18} - x^{15} - 18 x^{14} + 36 x^{13} + 10 x^{12} + 18 x^{11} + 90 x^{10} - 567 x^{9} + 270 x^{8} + 162 x^{7} + 270 x^{6} + 2916 x^{5} - 4374 x^{4} - 729 x^{3} + 19683\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 71.1
Root \(-0.363139 + 1.69356i\) of defining polynomial
Character \(\chi\) \(=\) 114.71
Dual form 114.2.l.a.53.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.939693 - 0.342020i) q^{2} +(-1.64823 + 0.532290i) q^{3} +(0.766044 - 0.642788i) q^{4} +(2.20556 - 2.62849i) q^{5} +(-1.36678 + 1.06392i) q^{6} +(1.68651 + 2.92113i) q^{7} +(0.500000 - 0.866025i) q^{8} +(2.43333 - 1.75467i) q^{9} +O(q^{10})\) \(q+(0.939693 - 0.342020i) q^{2} +(-1.64823 + 0.532290i) q^{3} +(0.766044 - 0.642788i) q^{4} +(2.20556 - 2.62849i) q^{5} +(-1.36678 + 1.06392i) q^{6} +(1.68651 + 2.92113i) q^{7} +(0.500000 - 0.866025i) q^{8} +(2.43333 - 1.75467i) q^{9} +(1.17355 - 3.22432i) q^{10} +(-2.33635 - 1.34889i) q^{11} +(-0.920469 + 1.46722i) q^{12} +(-5.05419 + 0.891189i) q^{13} +(2.58389 + 2.16814i) q^{14} +(-2.23616 + 5.50635i) q^{15} +(0.173648 - 0.984808i) q^{16} +(1.44531 + 3.97095i) q^{17} +(1.68645 - 2.48110i) q^{18} +(-2.73048 + 3.39772i) q^{19} -3.43124i q^{20} +(-4.33465 - 3.91698i) q^{21} +(-2.65680 - 0.468466i) q^{22} +(-1.69398 - 2.01881i) q^{23} +(-0.363139 + 1.69356i) q^{24} +(-1.17620 - 6.67054i) q^{25} +(-4.44458 + 2.56608i) q^{26} +(-3.07670 + 4.18735i) q^{27} +(3.16961 + 1.15364i) q^{28} +(-3.54249 - 1.28936i) q^{29} +(-0.218019 + 5.93909i) q^{30} +(4.78254 - 2.76120i) q^{31} +(-0.173648 - 0.984808i) q^{32} +(4.56886 + 0.979673i) q^{33} +(2.71629 + 3.23715i) q^{34} +(11.3979 + 2.00975i) q^{35} +(0.736160 - 2.90828i) q^{36} +5.17636i q^{37} +(-1.40372 + 4.12669i) q^{38} +(7.85610 - 4.15918i) q^{39} +(-1.17355 - 3.22432i) q^{40} +(-0.289735 + 1.64317i) q^{41} +(-5.41293 - 2.19822i) q^{42} +(1.85806 + 1.55910i) q^{43} +(-2.65680 + 0.468466i) q^{44} +(0.754733 - 10.2660i) q^{45} +(-2.28230 - 1.31768i) q^{46} +(-0.0440069 + 0.120908i) q^{47} +(0.237991 + 1.71562i) q^{48} +(-2.18866 + 3.79087i) q^{49} +(-3.38672 - 5.86597i) q^{50} +(-4.49590 - 5.77572i) q^{51} +(-3.29889 + 3.93146i) q^{52} +(6.53342 - 5.48219i) q^{53} +(-1.45900 + 4.98712i) q^{54} +(-8.69853 + 3.16600i) q^{55} +3.37303 q^{56} +(2.69188 - 7.05363i) q^{57} -3.76983 q^{58} +(-3.87665 + 1.41099i) q^{59} +(1.82642 + 5.65549i) q^{60} +(3.53369 - 2.96512i) q^{61} +(3.54973 - 4.23041i) q^{62} +(9.22948 + 4.14880i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-8.80484 + 15.2504i) q^{65} +(4.62839 - 0.642049i) q^{66} +(3.81629 - 10.4852i) q^{67} +(3.65965 + 2.11290i) q^{68} +(3.86667 + 2.42578i) q^{69} +(11.3979 - 2.00975i) q^{70} +(-9.91131 - 8.31658i) q^{71} +(-0.302925 - 2.98467i) q^{72} +(-0.414656 + 2.35163i) q^{73} +(1.77042 + 4.86419i) q^{74} +(5.48930 + 10.3685i) q^{75} +(0.0923461 + 4.35792i) q^{76} -9.09972i q^{77} +(5.95979 - 6.59529i) q^{78} +(2.22246 + 0.391880i) q^{79} +(-2.20556 - 2.62849i) q^{80} +(2.84224 - 8.53942i) q^{81} +(0.289735 + 1.64317i) q^{82} +(-6.27861 + 3.62496i) q^{83} +(-5.83832 - 0.214320i) q^{84} +(13.6253 + 4.95920i) q^{85} +(2.27924 + 0.829577i) q^{86} +(6.52515 + 0.239533i) q^{87} +(-2.33635 + 1.34889i) q^{88} +(-0.209662 - 1.18905i) q^{89} +(-2.80197 - 9.90505i) q^{90} +(-11.1272 - 13.2609i) q^{91} +(-2.59533 - 0.457627i) q^{92} +(-6.41298 + 7.09680i) q^{93} +0.128667i q^{94} +(2.90863 + 14.6709i) q^{95} +(0.810416 + 1.53076i) q^{96} +(3.13271 + 8.60706i) q^{97} +(-0.760113 + 4.31081i) q^{98} +(-8.05200 + 0.817228i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 18q + 3q^{6} + 9q^{8} + O(q^{10}) \) \( 18q + 3q^{6} + 9q^{8} - 12q^{13} + 12q^{14} - 24q^{15} - 6q^{17} - 6q^{19} - 24q^{22} - 18q^{25} - 18q^{26} - 3q^{27} + 6q^{28} + 6q^{29} - 27q^{33} - 6q^{34} + 24q^{35} - 3q^{36} - 3q^{38} + 6q^{39} - 3q^{41} - 6q^{43} - 24q^{44} + 54q^{45} + 18q^{46} - 30q^{47} + 6q^{48} + 21q^{49} - 3q^{50} - 33q^{51} - 6q^{52} + 60q^{53} + 30q^{55} + 12q^{57} + 12q^{58} - 3q^{59} + 18q^{60} + 54q^{61} - 6q^{62} + 84q^{63} - 9q^{64} - 24q^{65} + 30q^{66} - 15q^{67} + 27q^{68} + 24q^{69} + 24q^{70} - 36q^{71} - 42q^{73} - 6q^{74} - 18q^{78} - 6q^{79} + 3q^{82} - 36q^{83} - 24q^{84} + 6q^{86} - 54q^{87} + 60q^{89} - 12q^{90} - 18q^{91} - 84q^{93} - 6q^{95} + 9q^{97} - 12q^{98} - 30q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(97\)
\(\chi(n)\) \(-1\) \(e\left(\frac{7}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.939693 0.342020i 0.664463 0.241845i
\(3\) −1.64823 + 0.532290i −0.951607 + 0.307318i
\(4\) 0.766044 0.642788i 0.383022 0.321394i
\(5\) 2.20556 2.62849i 0.986357 1.17549i 0.00187711 0.999998i \(-0.499402\pi\)
0.984480 0.175496i \(-0.0561531\pi\)
\(6\) −1.36678 + 1.06392i −0.557984 + 0.434342i
\(7\) 1.68651 + 2.92113i 0.637442 + 1.10408i 0.985992 + 0.166792i \(0.0533409\pi\)
−0.348550 + 0.937290i \(0.613326\pi\)
\(8\) 0.500000 0.866025i 0.176777 0.306186i
\(9\) 2.43333 1.75467i 0.811112 0.584891i
\(10\) 1.17355 3.22432i 0.371111 1.01962i
\(11\) −2.33635 1.34889i −0.704437 0.406707i 0.104561 0.994519i \(-0.466656\pi\)
−0.808998 + 0.587811i \(0.799990\pi\)
\(12\) −0.920469 + 1.46722i −0.265717 + 0.423550i
\(13\) −5.05419 + 0.891189i −1.40178 + 0.247171i −0.822874 0.568224i \(-0.807631\pi\)
−0.578905 + 0.815395i \(0.696520\pi\)
\(14\) 2.58389 + 2.16814i 0.690573 + 0.579460i
\(15\) −2.23616 + 5.50635i −0.577374 + 1.42173i
\(16\) 0.173648 0.984808i 0.0434120 0.246202i
\(17\) 1.44531 + 3.97095i 0.350538 + 0.963096i 0.982198 + 0.187850i \(0.0601520\pi\)
−0.631659 + 0.775246i \(0.717626\pi\)
\(18\) 1.68645 2.48110i 0.397501 0.584802i
\(19\) −2.73048 + 3.39772i −0.626414 + 0.779490i
\(20\) 3.43124i 0.767250i
\(21\) −4.33465 3.91698i −0.945899 0.854755i
\(22\) −2.65680 0.468466i −0.566433 0.0998773i
\(23\) −1.69398 2.01881i −0.353220 0.420951i 0.559952 0.828525i \(-0.310819\pi\)
−0.913172 + 0.407574i \(0.866375\pi\)
\(24\) −0.363139 + 1.69356i −0.0741255 + 0.345696i
\(25\) −1.17620 6.67054i −0.235239 1.33411i
\(26\) −4.44458 + 2.56608i −0.871653 + 0.503249i
\(27\) −3.07670 + 4.18735i −0.592112 + 0.805856i
\(28\) 3.16961 + 1.15364i 0.599000 + 0.218018i
\(29\) −3.54249 1.28936i −0.657823 0.239428i −0.00852691 0.999964i \(-0.502714\pi\)
−0.649296 + 0.760536i \(0.724936\pi\)
\(30\) −0.218019 + 5.93909i −0.0398047 + 1.08432i
\(31\) 4.78254 2.76120i 0.858970 0.495927i −0.00469717 0.999989i \(-0.501495\pi\)
0.863667 + 0.504062i \(0.168162\pi\)
\(32\) −0.173648 0.984808i −0.0306970 0.174091i
\(33\) 4.56886 + 0.979673i 0.795336 + 0.170539i
\(34\) 2.71629 + 3.23715i 0.465840 + 0.555166i
\(35\) 11.3979 + 2.00975i 1.92659 + 0.339710i
\(36\) 0.736160 2.90828i 0.122693 0.484713i
\(37\) 5.17636i 0.850989i 0.904961 + 0.425494i \(0.139900\pi\)
−0.904961 + 0.425494i \(0.860100\pi\)
\(38\) −1.40372 + 4.12669i −0.227713 + 0.669438i
\(39\) 7.85610 4.15918i 1.25798 0.666002i
\(40\) −1.17355 3.22432i −0.185555 0.509809i
\(41\) −0.289735 + 1.64317i −0.0452490 + 0.256620i −0.999038 0.0438581i \(-0.986035\pi\)
0.953789 + 0.300478i \(0.0971462\pi\)
\(42\) −5.41293 2.19822i −0.835233 0.339193i
\(43\) 1.85806 + 1.55910i 0.283351 + 0.237760i 0.773374 0.633950i \(-0.218567\pi\)
−0.490023 + 0.871709i \(0.663012\pi\)
\(44\) −2.65680 + 0.468466i −0.400528 + 0.0706240i
\(45\) 0.754733 10.2660i 0.112509 1.53037i
\(46\) −2.28230 1.31768i −0.336506 0.194282i
\(47\) −0.0440069 + 0.120908i −0.00641906 + 0.0176362i −0.942861 0.333187i \(-0.891876\pi\)
0.936442 + 0.350823i \(0.114098\pi\)
\(48\) 0.237991 + 1.71562i 0.0343510 + 0.247629i
\(49\) −2.18866 + 3.79087i −0.312665 + 0.541552i
\(50\) −3.38672 5.86597i −0.478955 0.829574i
\(51\) −4.49590 5.77572i −0.629551 0.808763i
\(52\) −3.29889 + 3.93146i −0.457473 + 0.545195i
\(53\) 6.53342 5.48219i 0.897434 0.753036i −0.0722533 0.997386i \(-0.523019\pi\)
0.969687 + 0.244350i \(0.0785746\pi\)
\(54\) −1.45900 + 4.98712i −0.198544 + 0.678661i
\(55\) −8.69853 + 3.16600i −1.17291 + 0.426904i
\(56\) 3.37303 0.450740
\(57\) 2.69188 7.05363i 0.356549 0.934277i
\(58\) −3.76983 −0.495004
\(59\) −3.87665 + 1.41099i −0.504697 + 0.183695i −0.581805 0.813328i \(-0.697653\pi\)
0.0771085 + 0.997023i \(0.475431\pi\)
\(60\) 1.82642 + 5.65549i 0.235789 + 0.730120i
\(61\) 3.53369 2.96512i 0.452443 0.379645i −0.387898 0.921702i \(-0.626799\pi\)
0.840342 + 0.542057i \(0.182354\pi\)
\(62\) 3.54973 4.23041i 0.450817 0.537262i
\(63\) 9.22948 + 4.14880i 1.16281 + 0.522700i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) −8.80484 + 15.2504i −1.09211 + 1.89158i
\(66\) 4.62839 0.642049i 0.569715 0.0790308i
\(67\) 3.81629 10.4852i 0.466234 1.28097i −0.454490 0.890752i \(-0.650179\pi\)
0.920724 0.390215i \(-0.127599\pi\)
\(68\) 3.65965 + 2.11290i 0.443797 + 0.256226i
\(69\) 3.86667 + 2.42578i 0.465492 + 0.292029i
\(70\) 11.3979 2.00975i 1.36230 0.240211i
\(71\) −9.91131 8.31658i −1.17626 0.986996i −0.999996 0.00265261i \(-0.999156\pi\)
−0.176260 0.984344i \(-0.556400\pi\)
\(72\) −0.302925 2.98467i −0.0357001 0.351746i
\(73\) −0.414656 + 2.35163i −0.0485318 + 0.275238i −0.999411 0.0343255i \(-0.989072\pi\)
0.950879 + 0.309563i \(0.100183\pi\)
\(74\) 1.77042 + 4.86419i 0.205807 + 0.565450i
\(75\) 5.48930 + 10.3685i 0.633850 + 1.19725i
\(76\) 0.0923461 + 4.35792i 0.0105928 + 0.499888i
\(77\) 9.09972i 1.03701i
\(78\) 5.95979 6.59529i 0.674814 0.746770i
\(79\) 2.22246 + 0.391880i 0.250046 + 0.0440899i 0.297266 0.954795i \(-0.403925\pi\)
−0.0472200 + 0.998885i \(0.515036\pi\)
\(80\) −2.20556 2.62849i −0.246589 0.293874i
\(81\) 2.84224 8.53942i 0.315804 0.948824i
\(82\) 0.289735 + 1.64317i 0.0319959 + 0.181458i
\(83\) −6.27861 + 3.62496i −0.689167 + 0.397891i −0.803300 0.595575i \(-0.796924\pi\)
0.114133 + 0.993465i \(0.463591\pi\)
\(84\) −5.83832 0.214320i −0.637013 0.0233843i
\(85\) 13.6253 + 4.95920i 1.47787 + 0.537901i
\(86\) 2.27924 + 0.829577i 0.245777 + 0.0894556i
\(87\) 6.52515 + 0.239533i 0.699570 + 0.0256807i
\(88\) −2.33635 + 1.34889i −0.249056 + 0.143793i
\(89\) −0.209662 1.18905i −0.0222241 0.126039i 0.971677 0.236312i \(-0.0759387\pi\)
−0.993901 + 0.110273i \(0.964828\pi\)
\(90\) −2.80197 9.90505i −0.295354 1.04408i
\(91\) −11.1272 13.2609i −1.16645 1.39012i
\(92\) −2.59533 0.457627i −0.270582 0.0477109i
\(93\) −6.41298 + 7.09680i −0.664995 + 0.735904i
\(94\) 0.128667i 0.0132710i
\(95\) 2.90863 + 14.6709i 0.298419 + 1.50520i
\(96\) 0.810416 + 1.53076i 0.0827127 + 0.156233i
\(97\) 3.13271 + 8.60706i 0.318079 + 0.873914i 0.990959 + 0.134163i \(0.0428346\pi\)
−0.672880 + 0.739751i \(0.734943\pi\)
\(98\) −0.760113 + 4.31081i −0.0767830 + 0.435458i
\(99\) −8.05200 + 0.817228i −0.809257 + 0.0821345i
\(100\) −5.18876 4.35388i −0.518876 0.435388i
\(101\) −5.56915 + 0.981991i −0.554151 + 0.0977117i −0.443709 0.896171i \(-0.646338\pi\)
−0.110442 + 0.993883i \(0.535227\pi\)
\(102\) −6.20017 3.88971i −0.613909 0.385139i
\(103\) 3.35680 + 1.93805i 0.330755 + 0.190961i 0.656176 0.754608i \(-0.272173\pi\)
−0.325421 + 0.945569i \(0.605506\pi\)
\(104\) −1.75530 + 4.82265i −0.172121 + 0.472900i
\(105\) −19.8561 + 2.75443i −1.93775 + 0.268805i
\(106\) 4.26438 7.38613i 0.414194 0.717404i
\(107\) 3.48940 + 6.04382i 0.337333 + 0.584278i 0.983930 0.178554i \(-0.0571419\pi\)
−0.646597 + 0.762832i \(0.723809\pi\)
\(108\) 0.334684 + 5.18536i 0.0322050 + 0.498962i
\(109\) 3.68457 4.39110i 0.352918 0.420591i −0.560155 0.828388i \(-0.689258\pi\)
0.913073 + 0.407797i \(0.133703\pi\)
\(110\) −7.09110 + 5.95014i −0.676110 + 0.567324i
\(111\) −2.75533 8.53184i −0.261524 0.809807i
\(112\) 3.16961 1.15364i 0.299500 0.109009i
\(113\) 16.8907 1.58895 0.794474 0.607298i \(-0.207747\pi\)
0.794474 + 0.607298i \(0.207747\pi\)
\(114\) 0.117059 7.54893i 0.0109636 0.707022i
\(115\) −9.04260 −0.843227
\(116\) −3.54249 + 1.28936i −0.328912 + 0.119714i
\(117\) −10.7348 + 11.0370i −0.992431 + 1.02037i
\(118\) −3.16027 + 2.65178i −0.290927 + 0.244117i
\(119\) −9.16212 + 10.9190i −0.839890 + 1.00094i
\(120\) 3.65056 + 4.68975i 0.333249 + 0.428113i
\(121\) −1.86097 3.22329i −0.169179 0.293026i
\(122\) 2.30645 3.99490i 0.208817 0.361681i
\(123\) −0.397092 2.86255i −0.0358046 0.258107i
\(124\) 1.88877 5.18936i 0.169617 0.466019i
\(125\) −5.26986 3.04256i −0.471351 0.272134i
\(126\) 10.0918 + 0.741928i 0.899053 + 0.0660962i
\(127\) 5.44679 0.960416i 0.483324 0.0852231i 0.0733234 0.997308i \(-0.476639\pi\)
0.410001 + 0.912085i \(0.365528\pi\)
\(128\) −0.766044 0.642788i −0.0677094 0.0568149i
\(129\) −3.89240 1.58072i −0.342707 0.139175i
\(130\) −3.05789 + 17.3422i −0.268195 + 1.52101i
\(131\) −5.04199 13.8528i −0.440521 1.21032i −0.939150 0.343506i \(-0.888385\pi\)
0.498629 0.866815i \(-0.333837\pi\)
\(132\) 4.12967 2.18633i 0.359442 0.190296i
\(133\) −14.5302 2.24577i −1.25992 0.194733i
\(134\) 11.1581i 0.963911i
\(135\) 4.22053 + 17.3225i 0.363245 + 1.49089i
\(136\) 4.16160 + 0.733802i 0.356854 + 0.0629230i
\(137\) −12.8171 15.2748i −1.09503 1.30501i −0.948840 0.315756i \(-0.897742\pi\)
−0.146195 0.989256i \(-0.546703\pi\)
\(138\) 4.46315 + 0.957006i 0.379928 + 0.0814658i
\(139\) −0.280984 1.59354i −0.0238328 0.135162i 0.970570 0.240820i \(-0.0774164\pi\)
−0.994403 + 0.105658i \(0.966305\pi\)
\(140\) 10.0231 5.78684i 0.847107 0.489077i
\(141\) 0.00817546 0.222709i 0.000688498 0.0187554i
\(142\) −12.1580 4.42516i −1.02028 0.371351i
\(143\) 13.0105 + 4.73543i 1.08799 + 0.395997i
\(144\) −1.30547 2.70106i −0.108789 0.225089i
\(145\) −11.2022 + 6.46761i −0.930295 + 0.537106i
\(146\) 0.414656 + 2.35163i 0.0343172 + 0.194622i
\(147\) 1.58957 7.41322i 0.131106 0.611432i
\(148\) 3.32730 + 3.96532i 0.273502 + 0.325948i
\(149\) 23.7332 + 4.18480i 1.94430 + 0.342832i 0.999902 + 0.0140170i \(0.00446189\pi\)
0.944394 + 0.328815i \(0.106649\pi\)
\(150\) 8.70450 + 7.86576i 0.710719 + 0.642237i
\(151\) 14.7053i 1.19670i 0.801235 + 0.598349i \(0.204176\pi\)
−0.801235 + 0.598349i \(0.795824\pi\)
\(152\) 1.57727 + 4.06352i 0.127934 + 0.329595i
\(153\) 10.4846 + 7.12660i 0.847633 + 0.576152i
\(154\) −3.11229 8.55094i −0.250795 0.689054i
\(155\) 3.29041 18.6609i 0.264292 1.49888i
\(156\) 3.34465 8.23592i 0.267786 0.659401i
\(157\) 11.7536 + 9.86243i 0.938038 + 0.787108i 0.977243 0.212124i \(-0.0680380\pi\)
−0.0392046 + 0.999231i \(0.512482\pi\)
\(158\) 2.22246 0.391880i 0.176810 0.0311763i
\(159\) −7.85047 + 12.5136i −0.622583 + 0.992392i
\(160\) −2.97155 1.71562i −0.234921 0.135632i
\(161\) 3.04028 8.35309i 0.239607 0.658316i
\(162\) −0.249825 8.99653i −0.0196281 0.706834i
\(163\) 5.96235 10.3271i 0.467007 0.808880i −0.532283 0.846567i \(-0.678666\pi\)
0.999290 + 0.0376868i \(0.0119989\pi\)
\(164\) 0.834259 + 1.44498i 0.0651447 + 0.112834i
\(165\) 12.6520 9.84845i 0.984953 0.766701i
\(166\) −4.66016 + 5.55376i −0.361698 + 0.431055i
\(167\) 1.37759 1.15593i 0.106601 0.0894489i −0.587929 0.808912i \(-0.700057\pi\)
0.694530 + 0.719463i \(0.255612\pi\)
\(168\) −5.55953 + 1.79543i −0.428927 + 0.138520i
\(169\) 12.5346 4.56221i 0.964198 0.350939i
\(170\) 14.4997 1.11208
\(171\) −0.682271 + 13.0589i −0.0521746 + 0.998638i
\(172\) 2.42552 0.184944
\(173\) −6.36766 + 2.31764i −0.484124 + 0.176207i −0.572540 0.819877i \(-0.694042\pi\)
0.0884156 + 0.996084i \(0.471820\pi\)
\(174\) 6.21356 2.00665i 0.471049 0.152123i
\(175\) 17.5018 14.6858i 1.32301 1.11014i
\(176\) −1.73411 + 2.06663i −0.130713 + 0.155778i
\(177\) 5.63856 4.38913i 0.423820 0.329907i
\(178\) −0.603697 1.04563i −0.0452490 0.0783735i
\(179\) 7.17879 12.4340i 0.536568 0.929363i −0.462518 0.886610i \(-0.653054\pi\)
0.999086 0.0427531i \(-0.0136129\pi\)
\(180\) −6.02072 8.34937i −0.448758 0.622325i
\(181\) −4.09139 + 11.2410i −0.304111 + 0.835537i 0.689664 + 0.724129i \(0.257758\pi\)
−0.993775 + 0.111408i \(0.964464\pi\)
\(182\) −14.9917 8.65545i −1.11126 0.641585i
\(183\) −4.24604 + 6.76816i −0.313876 + 0.500316i
\(184\) −2.59533 + 0.457627i −0.191330 + 0.0337367i
\(185\) 13.6060 + 11.4168i 1.00033 + 0.839379i
\(186\) −3.59898 + 8.86218i −0.263890 + 0.649807i
\(187\) 1.97964 11.2271i 0.144766 0.821008i
\(188\) 0.0440069 + 0.120908i 0.00320953 + 0.00881811i
\(189\) −17.4207 1.92542i −1.26717 0.140054i
\(190\) 7.75096 + 12.7913i 0.562314 + 0.927980i
\(191\) 10.1652i 0.735526i 0.929919 + 0.367763i \(0.119876\pi\)
−0.929919 + 0.367763i \(0.880124\pi\)
\(192\) 1.28509 + 1.16127i 0.0927436 + 0.0838071i
\(193\) −12.3371 2.17537i −0.888046 0.156587i −0.289027 0.957321i \(-0.593332\pi\)
−0.599019 + 0.800734i \(0.704443\pi\)
\(194\) 5.88758 + 7.01654i 0.422703 + 0.503758i
\(195\) 6.39477 29.8230i 0.457939 2.13567i
\(196\) 0.760113 + 4.31081i 0.0542938 + 0.307915i
\(197\) −19.9041 + 11.4916i −1.41811 + 0.818744i −0.996132 0.0878643i \(-0.971996\pi\)
−0.421974 + 0.906608i \(0.638662\pi\)
\(198\) −7.28690 + 3.52189i −0.517857 + 0.250290i
\(199\) −23.8117 8.66676i −1.68797 0.614370i −0.693601 0.720360i \(-0.743977\pi\)
−0.994367 + 0.105990i \(0.966199\pi\)
\(200\) −6.36495 2.31665i −0.450070 0.163812i
\(201\) −0.708978 + 19.3133i −0.0500075 + 1.36226i
\(202\) −4.89743 + 2.82753i −0.344582 + 0.198944i
\(203\) −2.20807 12.5226i −0.154976 0.878913i
\(204\) −7.15662 1.53455i −0.501063 0.107440i
\(205\) 3.68002 + 4.38567i 0.257024 + 0.306309i
\(206\) 3.81721 + 0.673077i 0.265957 + 0.0468955i
\(207\) −7.66438 1.94005i −0.532711 0.134843i
\(208\) 5.13216i 0.355851i
\(209\) 10.9625 4.25515i 0.758294 0.294335i
\(210\) −17.7165 + 9.37949i −1.22256 + 0.647247i
\(211\) −4.07273 11.1897i −0.280378 0.770333i −0.997317 0.0731972i \(-0.976680\pi\)
0.716939 0.697136i \(-0.245542\pi\)
\(212\) 1.48101 8.39920i 0.101716 0.576859i
\(213\) 20.7630 + 8.43196i 1.42266 + 0.577748i
\(214\) 5.34607 + 4.48588i 0.365450 + 0.306649i
\(215\) 8.19612 1.44520i 0.558971 0.0985616i
\(216\) 2.08800 + 4.75818i 0.142070 + 0.323753i
\(217\) 16.1316 + 9.31361i 1.09509 + 0.632249i
\(218\) 1.96052 5.38648i 0.132783 0.364818i
\(219\) −0.568301 4.09675i −0.0384022 0.276833i
\(220\) −4.62839 + 8.01660i −0.312046 + 0.540479i
\(221\) −10.8437 18.7819i −0.729427 1.26341i
\(222\) −5.50722 7.07493i −0.369620 0.474838i
\(223\) 8.14222 9.70352i 0.545243 0.649796i −0.421111 0.907009i \(-0.638360\pi\)
0.966355 + 0.257213i \(0.0828043\pi\)
\(224\) 2.58389 2.16814i 0.172643 0.144865i
\(225\) −14.5667 14.1678i −0.971113 0.944521i
\(226\) 15.8721 5.77698i 1.05580 0.384279i
\(227\) 3.77953 0.250857 0.125428 0.992103i \(-0.459970\pi\)
0.125428 + 0.992103i \(0.459970\pi\)
\(228\) −2.47189 7.13371i −0.163705 0.472441i
\(229\) 15.3222 1.01252 0.506259 0.862381i \(-0.331028\pi\)
0.506259 + 0.862381i \(0.331028\pi\)
\(230\) −8.49726 + 3.09275i −0.560293 + 0.203930i
\(231\) 4.84369 + 14.9984i 0.318691 + 0.986825i
\(232\) −2.88786 + 2.42320i −0.189597 + 0.159091i
\(233\) −15.6260 + 18.6223i −1.02369 + 1.21999i −0.0484572 + 0.998825i \(0.515430\pi\)
−0.975236 + 0.221165i \(0.929014\pi\)
\(234\) −6.31251 + 14.0429i −0.412662 + 0.918014i
\(235\) 0.220745 + 0.382341i 0.0143998 + 0.0249412i
\(236\) −2.06272 + 3.57274i −0.134272 + 0.232566i
\(237\) −3.87172 + 0.537085i −0.251496 + 0.0348874i
\(238\) −4.87506 + 13.3941i −0.316003 + 0.868212i
\(239\) 11.5689 + 6.67933i 0.748332 + 0.432050i 0.825091 0.565000i \(-0.191124\pi\)
−0.0767587 + 0.997050i \(0.524457\pi\)
\(240\) 5.03439 + 3.15836i 0.324969 + 0.203871i
\(241\) −21.6352 + 3.81487i −1.39365 + 0.245737i −0.819530 0.573037i \(-0.805765\pi\)
−0.574116 + 0.818774i \(0.694654\pi\)
\(242\) −2.85116 2.39241i −0.183280 0.153790i
\(243\) −0.139216 + 15.5878i −0.00893073 + 0.999960i
\(244\) 0.801023 4.54283i 0.0512803 0.290825i
\(245\) 5.13702 + 14.1138i 0.328192 + 0.901700i
\(246\) −1.35219 2.55410i −0.0862126 0.162843i
\(247\) 10.7723 19.6061i 0.685427 1.24751i
\(248\) 5.52241i 0.350673i
\(249\) 8.41908 9.31681i 0.533537 0.590429i
\(250\) −5.99267 1.05667i −0.379009 0.0668296i
\(251\) 4.35873 + 5.19453i 0.275121 + 0.327876i 0.885857 0.463958i \(-0.153571\pi\)
−0.610737 + 0.791834i \(0.709127\pi\)
\(252\) 9.73699 2.75443i 0.613373 0.173513i
\(253\) 1.23458 + 7.00166i 0.0776175 + 0.440191i
\(254\) 4.78983 2.76541i 0.300540 0.173517i
\(255\) −25.0974 0.921305i −1.57166 0.0576944i
\(256\) −0.939693 0.342020i −0.0587308 0.0213763i
\(257\) −16.7251 6.08743i −1.04328 0.379724i −0.237158 0.971471i \(-0.576216\pi\)
−0.806123 + 0.591747i \(0.798438\pi\)
\(258\) −4.19830 0.154116i −0.261375 0.00959486i
\(259\) −15.1208 + 8.73000i −0.939561 + 0.542456i
\(260\) 3.05789 + 17.3422i 0.189642 + 1.07551i
\(261\) −10.8825 + 3.07847i −0.673607 + 0.190552i
\(262\) −9.47585 11.2929i −0.585420 0.697676i
\(263\) −3.78041 0.666587i −0.233110 0.0411035i 0.0558728 0.998438i \(-0.482206\pi\)
−0.288983 + 0.957334i \(0.593317\pi\)
\(264\) 3.13285 3.46691i 0.192814 0.213374i
\(265\) 29.2643i 1.79769i
\(266\) −14.4220 + 2.85928i −0.884268 + 0.175313i
\(267\) 0.978490 + 1.84823i 0.0598826 + 0.113110i
\(268\) −3.81629 10.4852i −0.233117 0.640483i
\(269\) −0.457985 + 2.59736i −0.0279239 + 0.158364i −0.995581 0.0939040i \(-0.970065\pi\)
0.967657 + 0.252268i \(0.0811765\pi\)
\(270\) 9.89065 + 14.8343i 0.601926 + 0.902790i
\(271\) 10.7222 + 8.99702i 0.651329 + 0.546530i 0.907474 0.420108i \(-0.138008\pi\)
−0.256145 + 0.966638i \(0.582452\pi\)
\(272\) 4.16160 0.733802i 0.252334 0.0444933i
\(273\) 25.3989 + 15.9342i 1.53721 + 0.964379i
\(274\) −17.2684 9.96990i −1.04322 0.602304i
\(275\) −6.24984 + 17.1713i −0.376880 + 1.03547i
\(276\) 4.52130 0.627194i 0.272150 0.0377526i
\(277\) −0.166629 + 0.288609i −0.0100117 + 0.0173408i −0.870988 0.491305i \(-0.836520\pi\)
0.860976 + 0.508645i \(0.169854\pi\)
\(278\) −0.809062 1.40134i −0.0485243 0.0840466i
\(279\) 6.79252 15.1107i 0.406657 0.904656i
\(280\) 7.43942 8.86596i 0.444590 0.529842i
\(281\) −1.92247 + 1.61315i −0.114685 + 0.0962323i −0.698327 0.715779i \(-0.746072\pi\)
0.583642 + 0.812011i \(0.301627\pi\)
\(282\) −0.0684884 0.212074i −0.00407842 0.0126288i
\(283\) −24.7578 + 9.01110i −1.47170 + 0.535655i −0.948561 0.316594i \(-0.897461\pi\)
−0.523138 + 0.852248i \(0.675239\pi\)
\(284\) −12.9383 −0.767747
\(285\) −12.6033 22.6328i −0.746553 1.34065i
\(286\) 13.8455 0.818700
\(287\) −5.28855 + 1.92487i −0.312173 + 0.113622i
\(288\) −2.15056 2.09167i −0.126723 0.123253i
\(289\) −0.656761 + 0.551088i −0.0386330 + 0.0324169i
\(290\) −8.31460 + 9.90896i −0.488250 + 0.581874i
\(291\) −9.74489 12.5189i −0.571255 0.733872i
\(292\) 1.19395 + 2.06799i 0.0698709 + 0.121020i
\(293\) 6.53329 11.3160i 0.381679 0.661087i −0.609624 0.792691i \(-0.708679\pi\)
0.991302 + 0.131604i \(0.0420127\pi\)
\(294\) −1.04176 7.50982i −0.0607567 0.437981i
\(295\) −4.84144 + 13.3017i −0.281879 + 0.774457i
\(296\) 4.48286 + 2.58818i 0.260561 + 0.150435i
\(297\) 12.8366 5.63298i 0.744853 0.326859i
\(298\) 23.7332 4.18480i 1.37482 0.242419i
\(299\) 10.3608 + 8.69378i 0.599183 + 0.502775i
\(300\) 10.8698 + 4.41429i 0.627568 + 0.254859i
\(301\) −1.42068 + 8.05706i −0.0818864 + 0.464401i
\(302\) 5.02950 + 13.8184i 0.289415 + 0.795162i
\(303\) 8.65654 4.58295i 0.497305 0.263284i
\(304\) 2.87196 + 3.27900i 0.164718 + 0.188064i
\(305\) 15.8280i 0.906310i
\(306\) 12.2898 + 3.11086i 0.702560 + 0.177836i
\(307\) 7.06477 + 1.24571i 0.403208 + 0.0710964i 0.371575 0.928403i \(-0.378818\pi\)
0.0316333 + 0.999500i \(0.489929\pi\)
\(308\) −5.84919 6.97079i −0.333288 0.397198i
\(309\) −6.56438 1.40756i −0.373435 0.0800734i
\(310\) −3.29041 18.6609i −0.186883 1.05987i
\(311\) 9.96292 5.75210i 0.564945 0.326171i −0.190183 0.981749i \(-0.560908\pi\)
0.755128 + 0.655577i \(0.227575\pi\)
\(312\) 0.326094 8.88317i 0.0184615 0.502911i
\(313\) 16.6644 + 6.06533i 0.941925 + 0.342833i 0.766926 0.641736i \(-0.221785\pi\)
0.174999 + 0.984569i \(0.444008\pi\)
\(314\) 14.4179 + 5.24769i 0.813650 + 0.296144i
\(315\) 31.2612 15.1091i 1.76137 0.851303i
\(316\) 1.95440 1.12837i 0.109944 0.0634759i
\(317\) 5.91797 + 33.5625i 0.332386 + 1.88506i 0.451653 + 0.892194i \(0.350835\pi\)
−0.119267 + 0.992862i \(0.538054\pi\)
\(318\) −3.09713 + 14.4439i −0.173678 + 0.809976i
\(319\) 6.53729 + 7.79084i 0.366018 + 0.436203i
\(320\) −3.37912 0.595829i −0.188898 0.0333079i
\(321\) −8.96840 8.10424i −0.500567 0.452334i
\(322\) 8.88918i 0.495374i
\(323\) −17.4385 5.93183i −0.970307 0.330056i
\(324\) −3.31175 8.36853i −0.183986 0.464918i
\(325\) 11.8894 + 32.6659i 0.659507 + 1.81198i
\(326\) 2.07070 11.7435i 0.114686 0.650414i
\(327\) −3.73569 + 9.19881i −0.206584 + 0.508695i
\(328\) 1.27816 + 1.07250i 0.0705745 + 0.0592190i
\(329\) −0.427405 + 0.0753631i −0.0235636 + 0.00415490i
\(330\) 8.52058 13.5817i 0.469042 0.747650i
\(331\) 18.0961 + 10.4478i 0.994652 + 0.574263i 0.906662 0.421858i \(-0.138622\pi\)
0.0879907 + 0.996121i \(0.471955\pi\)
\(332\) −2.47962 + 6.81269i −0.136087 + 0.373895i
\(333\) 9.08283 + 12.5958i 0.497736 + 0.690247i
\(334\) 0.899158 1.55739i 0.0491997 0.0852164i
\(335\) −19.1430 33.1567i −1.04590 1.81155i
\(336\) −4.61018 + 3.58862i −0.251506 + 0.195775i
\(337\) −19.1366 + 22.8061i −1.04244 + 1.24233i −0.0729092 + 0.997339i \(0.523228\pi\)
−0.969526 + 0.244988i \(0.921216\pi\)
\(338\) 10.2183 8.57416i 0.555801 0.466373i
\(339\) −27.8399 + 8.99077i −1.51205 + 0.488312i
\(340\) 13.6253 4.95920i 0.738935 0.268950i
\(341\) −14.8983 −0.806788
\(342\) 3.82528 + 12.5047i 0.206847 + 0.676176i
\(343\) 8.84639 0.477660
\(344\) 2.27924 0.829577i 0.122889 0.0447278i
\(345\) 14.9043 4.81329i 0.802420 0.259139i
\(346\) −5.19097 + 4.35574i −0.279068 + 0.234166i
\(347\) −3.49226 + 4.16191i −0.187474 + 0.223423i −0.851592 0.524204i \(-0.824363\pi\)
0.664118 + 0.747628i \(0.268807\pi\)
\(348\) 5.15252 4.01079i 0.276204 0.215001i
\(349\) −8.07643 13.9888i −0.432322 0.748803i 0.564751 0.825261i \(-0.308972\pi\)
−0.997073 + 0.0764582i \(0.975639\pi\)
\(350\) 11.4235 19.7861i 0.610612 1.05761i
\(351\) 11.8185 23.9056i 0.630826 1.27598i
\(352\) −0.922698 + 2.53509i −0.0491800 + 0.135121i
\(353\) −18.1153 10.4589i −0.964180 0.556670i −0.0667232 0.997772i \(-0.521254\pi\)
−0.897457 + 0.441102i \(0.854588\pi\)
\(354\) 3.79735 6.05294i 0.201827 0.321710i
\(355\) −43.7200 + 7.70902i −2.32042 + 0.409152i
\(356\) −0.924917 0.776097i −0.0490205 0.0411331i
\(357\) 9.28922 22.8739i 0.491638 1.21062i
\(358\) 2.49317 14.1395i 0.131768 0.747294i
\(359\) −8.05343 22.1266i −0.425044 1.16780i −0.948785 0.315921i \(-0.897686\pi\)
0.523741 0.851877i \(-0.324536\pi\)
\(360\) −8.51328 5.78663i −0.448689 0.304982i
\(361\) −4.08900 18.5548i −0.215211 0.976568i
\(362\) 11.9624i 0.628731i
\(363\) 4.78302 + 4.32215i 0.251044 + 0.226854i
\(364\) −17.0479 3.00601i −0.893553 0.157558i
\(365\) 5.26668 + 6.27659i 0.275671 + 0.328532i
\(366\) −1.67513 + 7.81222i −0.0875603 + 0.408351i
\(367\) 3.11469 + 17.6643i 0.162586 + 0.922069i 0.951519 + 0.307590i \(0.0995226\pi\)
−0.788933 + 0.614479i \(0.789366\pi\)
\(368\) −2.28230 + 1.31768i −0.118973 + 0.0686891i
\(369\) 2.17820 + 4.50677i 0.113393 + 0.234613i
\(370\) 16.6902 + 6.07474i 0.867683 + 0.315811i
\(371\) 27.0329 + 9.83916i 1.40348 + 0.510824i
\(372\) −0.350891 + 9.55865i −0.0181928 + 0.495593i
\(373\) 12.2615 7.07917i 0.634876 0.366546i −0.147762 0.989023i \(-0.547207\pi\)
0.782638 + 0.622477i \(0.213874\pi\)
\(374\) −1.97964 11.2271i −0.102365 0.580540i
\(375\) 10.3055 + 2.20974i 0.532172 + 0.114111i
\(376\) 0.0827058 + 0.0985650i 0.00426523 + 0.00508310i
\(377\) 19.0534 + 3.35964i 0.981303 + 0.173030i
\(378\) −17.0286 + 4.14892i −0.875858 + 0.213397i
\(379\) 1.25595i 0.0645137i −0.999480 0.0322569i \(-0.989731\pi\)
0.999480 0.0322569i \(-0.0102695\pi\)
\(380\) 11.6584 + 9.36893i 0.598064 + 0.480616i
\(381\) −8.46635 + 4.48226i −0.433744 + 0.229633i
\(382\) 3.47670 + 9.55214i 0.177883 + 0.488730i
\(383\) −0.465296 + 2.63882i −0.0237755 + 0.134838i −0.994385 0.105822i \(-0.966253\pi\)
0.970610 + 0.240660i \(0.0773637\pi\)
\(384\) 1.60477 + 0.651705i 0.0818930 + 0.0332572i
\(385\) −23.9185 20.0700i −1.21900 1.02286i
\(386\) −12.3371 + 2.17537i −0.627944 + 0.110723i
\(387\) 7.25698 + 0.533515i 0.368893 + 0.0271201i
\(388\) 7.93231 + 4.57972i 0.402702 + 0.232500i
\(389\) −11.2472 + 30.9013i −0.570253 + 1.56676i 0.233852 + 0.972272i \(0.424867\pi\)
−0.804106 + 0.594486i \(0.797355\pi\)
\(390\) −4.19094 30.2116i −0.212217 1.52982i
\(391\) 5.56827 9.64452i 0.281599 0.487744i
\(392\) 2.18866 + 3.79087i 0.110544 + 0.191468i
\(393\) 15.6841 + 20.1488i 0.791156 + 1.01637i
\(394\) −14.7733 + 17.6062i −0.744270 + 0.886987i
\(395\) 5.93183 4.97739i 0.298463 0.250440i
\(396\) −5.64289 + 5.80176i −0.283566 + 0.291549i
\(397\) −2.19998 + 0.800726i −0.110414 + 0.0401873i −0.396636 0.917976i \(-0.629823\pi\)
0.286223 + 0.958163i \(0.407600\pi\)
\(398\) −25.3399 −1.27017
\(399\) 25.1445 4.03271i 1.25880 0.201888i
\(400\) −6.77344 −0.338672
\(401\) −12.8782 + 4.68726i −0.643104 + 0.234071i −0.642925 0.765929i \(-0.722279\pi\)
−0.000179351 1.00000i \(0.500057\pi\)
\(402\) 5.93933 + 18.3911i 0.296227 + 0.917264i
\(403\) −21.7111 + 18.2178i −1.08151 + 0.907492i
\(404\) −3.63500 + 4.33203i −0.180848 + 0.215526i
\(405\) −16.1770 26.3050i −0.803843 1.30711i
\(406\) −6.35788 11.0122i −0.315536 0.546525i
\(407\) 6.98237 12.0938i 0.346103 0.599468i
\(408\) −7.24987 + 1.00570i −0.358922 + 0.0497896i
\(409\) 7.27394 19.9850i 0.359673 0.988194i −0.619470 0.785020i \(-0.712652\pi\)
0.979143 0.203173i \(-0.0651254\pi\)
\(410\) 4.95807 + 2.86255i 0.244862 + 0.141371i
\(411\) 29.2561 + 18.3540i 1.44310 + 0.905335i
\(412\) 3.81721 0.673077i 0.188060 0.0331601i
\(413\) −10.6597 8.94454i −0.524529 0.440132i
\(414\) −7.86570 + 0.798320i −0.386578 + 0.0392353i
\(415\) −4.31971 + 24.4983i −0.212046 + 1.20257i
\(416\) 1.75530 + 4.82265i 0.0860607 + 0.236450i
\(417\) 1.31135 + 2.47696i 0.0642173 + 0.121297i
\(418\) 8.84606 7.74794i 0.432675 0.378964i
\(419\) 29.1990i 1.42646i 0.700928 + 0.713232i \(0.252770\pi\)
−0.700928 + 0.713232i \(0.747230\pi\)
\(420\) −13.4401 + 14.8733i −0.655811 + 0.725740i
\(421\) 7.45681 + 1.31484i 0.363423 + 0.0640812i 0.352378 0.935858i \(-0.385373\pi\)
0.0110448 + 0.999939i \(0.496484\pi\)
\(422\) −7.65423 9.12195i −0.372602 0.444050i
\(423\) 0.105070 + 0.371427i 0.00510870 + 0.0180594i
\(424\) −1.48101 8.39920i −0.0719240 0.407901i
\(425\) 24.7884 14.3116i 1.20241 0.694214i
\(426\) 22.3947 + 0.822092i 1.08503 + 0.0398305i
\(427\) 14.6211 + 5.32165i 0.707565 + 0.257533i
\(428\) 6.55793 + 2.38689i 0.316989 + 0.115375i
\(429\) −23.9649 0.879734i −1.15704 0.0424740i
\(430\) 7.20755 4.16128i 0.347579 0.200675i
\(431\) 4.16028 + 23.5941i 0.200394 + 1.13649i 0.904526 + 0.426419i \(0.140225\pi\)
−0.704132 + 0.710069i \(0.748664\pi\)
\(432\) 3.58947 + 3.75709i 0.172698 + 0.180763i
\(433\) −9.89407 11.7913i −0.475479 0.566654i 0.473984 0.880534i \(-0.342816\pi\)
−0.949463 + 0.313880i \(0.898371\pi\)
\(434\) 18.3442 + 3.23458i 0.880551 + 0.155265i
\(435\) 15.0212 16.6230i 0.720213 0.797010i
\(436\) 5.73217i 0.274521i
\(437\) 11.4847 0.243366i 0.549389 0.0116418i
\(438\) −1.93520 3.65532i −0.0924674 0.174658i
\(439\) −7.60564 20.8963i −0.362997 0.997327i −0.977964 0.208774i \(-0.933053\pi\)
0.614967 0.788553i \(-0.289169\pi\)
\(440\) −1.60742 + 9.11615i −0.0766309 + 0.434595i
\(441\) 1.32600 + 13.0648i 0.0631428 + 0.622134i
\(442\) −16.6135 13.9404i −0.790225 0.663078i
\(443\) −30.8547 + 5.44051i −1.46595 + 0.258486i −0.848948 0.528476i \(-0.822764\pi\)
−0.617001 + 0.786963i \(0.711652\pi\)
\(444\) −7.59486 4.76468i −0.360436 0.226122i
\(445\) −3.58782 2.07143i −0.170079 0.0981952i
\(446\) 4.33238 11.9031i 0.205144 0.563629i
\(447\) −41.3453 + 5.73541i −1.95556 + 0.271276i
\(448\) 1.68651 2.92113i 0.0796803 0.138010i
\(449\) 6.15216 + 10.6559i 0.290338 + 0.502881i 0.973890 0.227022i \(-0.0728988\pi\)
−0.683551 + 0.729902i \(0.739565\pi\)
\(450\) −18.5339 8.33128i −0.873696 0.392740i
\(451\) 2.89339 3.44820i 0.136244 0.162370i
\(452\) 12.9391 10.8572i 0.608602 0.510678i
\(453\) −7.82747 24.2377i −0.367767 1.13879i
\(454\) 3.55160 1.29268i 0.166685 0.0606683i
\(455\) −59.3979 −2.78462
\(456\) −4.76268 5.85806i −0.223033 0.274329i
\(457\) −37.8216 −1.76922 −0.884609 0.466334i \(-0.845575\pi\)
−0.884609 + 0.466334i \(0.845575\pi\)
\(458\) 14.3981 5.24049i 0.672781 0.244872i
\(459\) −21.0745 6.16543i −0.983675 0.287777i
\(460\) −6.92703 + 5.81247i −0.322975 + 0.271008i
\(461\) 24.9818 29.7722i 1.16352 1.38663i 0.255970 0.966685i \(-0.417605\pi\)
0.907550 0.419945i \(-0.137950\pi\)
\(462\) 9.68135 + 12.4373i 0.450417 + 0.578635i
\(463\) 12.3259 + 21.3492i 0.572835 + 0.992180i 0.996273 + 0.0862548i \(0.0274899\pi\)
−0.423438 + 0.905925i \(0.639177\pi\)
\(464\) −1.88492 + 3.26477i −0.0875051 + 0.151563i
\(465\) 4.50962 + 32.5089i 0.209129 + 1.50756i
\(466\) −8.31442 + 22.8437i −0.385158 + 1.05821i
\(467\) −3.17931 1.83558i −0.147121 0.0849404i 0.424632 0.905366i \(-0.360403\pi\)
−0.571754 + 0.820425i \(0.693737\pi\)
\(468\) −1.12886 + 15.3550i −0.0521817 + 0.709786i
\(469\) 37.0647 6.53551i 1.71149 0.301782i
\(470\) 0.338201 + 0.283784i 0.0156000 + 0.0130900i
\(471\) −24.6223 9.99925i −1.13454 0.460741i
\(472\) −0.716376 + 4.06277i −0.0329739 + 0.187004i
\(473\) −2.23803 6.14892i −0.102905 0.282728i
\(474\) −3.45454 + 1.82890i −0.158672 + 0.0840043i
\(475\) 25.8762 + 14.2174i 1.18728 + 0.652337i
\(476\) 14.2537i 0.653318i
\(477\) 6.27854 24.8040i 0.287474 1.13570i
\(478\) 13.1557 + 2.31971i 0.601728 + 0.106101i
\(479\) 16.6874 + 19.8872i 0.762465 + 0.908670i 0.998001 0.0631952i \(-0.0201291\pi\)
−0.235536 + 0.971866i \(0.575685\pi\)
\(480\) 5.81100 + 1.24602i 0.265235 + 0.0568727i
\(481\) −4.61312 26.1623i −0.210340 1.19290i
\(482\) −19.0257 + 10.9845i −0.866596 + 0.500329i
\(483\) −0.564813 + 15.3861i −0.0256999 + 0.700094i
\(484\) −3.49747 1.27298i −0.158976 0.0578625i
\(485\) 29.5329 + 10.7491i 1.34102 + 0.488092i
\(486\) 5.20053 + 14.6954i 0.235901 + 0.666596i
\(487\) 8.59327 4.96133i 0.389398 0.224819i −0.292501 0.956265i \(-0.594488\pi\)
0.681899 + 0.731446i \(0.261154\pi\)
\(488\) −0.801023 4.54283i −0.0362606 0.205644i
\(489\) −4.33032 + 20.1951i −0.195824 + 0.913255i
\(490\) 9.65444 + 11.5057i 0.436143 + 0.519775i
\(491\) −14.8971 2.62676i −0.672296 0.118544i −0.172929 0.984934i \(-0.555323\pi\)
−0.499367 + 0.866391i \(0.666434\pi\)
\(492\) −2.14420 1.93759i −0.0966679 0.0873534i
\(493\) 15.9305i 0.717476i
\(494\) 3.41700 22.1080i 0.153738 0.994688i
\(495\) −15.6111 + 22.9670i −0.701668 + 1.03229i
\(496\) −1.88877 5.18936i −0.0848084 0.233009i
\(497\) 7.57822 42.9782i 0.339930 1.92784i
\(498\) 4.72481 11.6344i 0.211724 0.521351i
\(499\) 16.3136 + 13.6887i 0.730296 + 0.612791i 0.930212 0.367022i \(-0.119623\pi\)
−0.199917 + 0.979813i \(0.564067\pi\)
\(500\) −5.99267 + 1.05667i −0.268000 + 0.0472557i
\(501\) −1.65529 + 2.63853i −0.0739531 + 0.117881i
\(502\) 5.87250 + 3.39049i 0.262103 + 0.151325i
\(503\) 1.99181 5.47245i 0.0888104 0.244004i −0.887334 0.461128i \(-0.847445\pi\)
0.976144 + 0.217123i \(0.0696673\pi\)
\(504\) 8.20770 5.91856i 0.365600 0.263634i
\(505\) −9.70195 + 16.8043i −0.431731 + 0.747780i
\(506\) 3.55484 + 6.15716i 0.158032 + 0.273719i
\(507\) −18.2315 + 14.1916i −0.809688 + 0.630272i
\(508\) 3.55514 4.23685i 0.157734 0.187980i
\(509\) 10.9586 9.19535i 0.485731 0.407577i −0.366763 0.930315i \(-0.619534\pi\)
0.852493 + 0.522738i \(0.175089\pi\)
\(510\) −23.8989 + 7.71806i −1.05826 + 0.341762i
\(511\) −7.56874 + 2.75480i −0.334821 + 0.121865i
\(512\) −1.00000 −0.0441942
\(513\) −5.82657 21.8872i −0.257249 0.966345i
\(514\) −17.7985 −0.785056
\(515\) 12.4977 4.54881i 0.550717 0.200444i
\(516\) −3.99782 + 1.29108i −0.175994 + 0.0568367i
\(517\) 0.265908 0.223123i 0.0116946 0.00981294i
\(518\) −11.2231 + 13.3751i −0.493114 + 0.587670i
\(519\) 9.26173 7.20945i 0.406545 0.316460i
\(520\) 8.80484 + 15.2504i 0.386118 + 0.668776i
\(521\) 5.93133 10.2734i 0.259856 0.450084i −0.706347 0.707866i \(-0.749658\pi\)
0.966203 + 0.257781i \(0.0829914\pi\)
\(522\) −9.17327 + 6.61483i −0.401503 + 0.289523i
\(523\) 10.6971 29.3899i 0.467750 1.28513i −0.451787 0.892126i \(-0.649213\pi\)
0.919536 0.393005i \(-0.128565\pi\)
\(524\) −12.7668 7.37090i −0.557719 0.321999i
\(525\) −21.0300 + 33.5216i −0.917823 + 1.46300i
\(526\) −3.78041 + 0.666587i −0.164834 + 0.0290646i
\(527\) 17.8768 + 15.0004i 0.778727 + 0.653430i
\(528\) 1.75816 4.32933i 0.0765142 0.188410i
\(529\) 2.78789 15.8109i 0.121213 0.687431i
\(530\) −10.0090 27.4994i −0.434762 1.19450i
\(531\) −6.95737 + 10.2357i −0.301924 + 0.444190i
\(532\) −12.5743 + 7.61945i −0.545165 + 0.330345i
\(533\) 8.56309i 0.370909i
\(534\) 1.55161 + 1.40210i 0.0671448 + 0.0606750i
\(535\) 23.5822 + 4.15817i 1.01955 + 0.179774i
\(536\) −7.17227 8.54758i −0.309795 0.369199i
\(537\) −5.21380 + 24.3154i −0.224992 + 1.04929i
\(538\) 0.457985 + 2.59736i 0.0197451 + 0.111980i
\(539\) 10.2270 5.90454i 0.440506 0.254326i
\(540\) 14.3678 + 10.5569i 0.618293 + 0.454298i
\(541\) −26.2388 9.55016i −1.12810 0.410593i −0.290495 0.956876i \(-0.593820\pi\)
−0.837601 + 0.546283i \(0.816042\pi\)
\(542\) 13.1528 + 4.78721i 0.564960 + 0.205628i
\(543\) 0.760086 20.7056i 0.0326184 0.888561i
\(544\) 3.65965 2.11290i 0.156906 0.0905897i
\(545\) −3.41540 19.3697i −0.146300 0.829706i
\(546\) 29.3170 + 6.28627i 1.25465 + 0.269027i
\(547\) 12.0859 + 14.4034i 0.516757 + 0.615847i 0.959811 0.280648i \(-0.0905494\pi\)
−0.443054 + 0.896495i \(0.646105\pi\)
\(548\) −19.6369 3.46251i −0.838845 0.147911i
\(549\) 3.39584 13.4156i 0.144931 0.572564i
\(550\) 18.2733i 0.779177i
\(551\) 14.0536 8.51581i 0.598702 0.362786i
\(552\) 4.03412 2.13575i 0.171704 0.0909034i
\(553\) 2.60348 + 7.15300i 0.110711 + 0.304177i
\(554\) −0.0578695 + 0.328194i −0.00245864 + 0.0139436i
\(555\) −28.5029 11.5752i −1.20988 0.491339i
\(556\) −1.23956 1.04011i −0.0525689 0.0441105i
\(557\) 22.6372 3.99155i 0.959170 0.169128i 0.327919 0.944706i \(-0.393653\pi\)
0.631251 + 0.775578i \(0.282542\pi\)
\(558\) 1.21470 16.5226i 0.0514225 0.699458i
\(559\) −10.7804 6.22408i −0.455963 0.263250i
\(560\) 3.95843 10.8757i 0.167274 0.459582i
\(561\) 2.71317 + 19.5586i 0.114550 + 0.825766i
\(562\) −1.25481 + 2.17339i −0.0529308 + 0.0916788i
\(563\) −6.45057 11.1727i −0.271859 0.470874i 0.697479 0.716605i \(-0.254305\pi\)
−0.969338 + 0.245732i \(0.920972\pi\)
\(564\) −0.136892 0.175860i −0.00576417 0.00740503i
\(565\) 37.2536 44.3971i 1.56727 1.86780i
\(566\) −20.1827 + 16.9353i −0.848344 + 0.711845i
\(567\) 29.7382 6.09931i 1.24889 0.256147i
\(568\) −12.1580 + 4.42516i −0.510139 + 0.185676i
\(569\) 37.8380 1.58625 0.793125 0.609059i \(-0.208453\pi\)
0.793125 + 0.609059i \(0.208453\pi\)
\(570\) −19.5841 16.9573i −0.820286 0.710264i
\(571\) 20.7087 0.866632 0.433316 0.901242i \(-0.357343\pi\)
0.433316 + 0.901242i \(0.357343\pi\)
\(572\) 13.0105 4.73543i 0.543996 0.197998i
\(573\) −5.41082 16.7546i −0.226040 0.699932i
\(574\) −4.31126 + 3.61758i −0.179949 + 0.150995i
\(575\) −11.4741 + 13.6743i −0.478503 + 0.570258i
\(576\) −2.73626 1.22999i −0.114011 0.0512497i
\(577\) −8.69281 15.0564i −0.361886 0.626805i 0.626385 0.779514i \(-0.284534\pi\)
−0.988271 + 0.152708i \(0.951200\pi\)
\(578\) −0.428670 + 0.742479i −0.0178303 + 0.0308830i
\(579\) 21.4924 2.98142i 0.893193 0.123904i
\(580\) −4.42411 + 12.1551i −0.183701 + 0.504715i
\(581\) −21.1779 12.2271i −0.878608 0.507265i
\(582\) −13.4389 8.43098i −0.557061 0.349476i
\(583\) −22.6593 + 3.99544i −0.938451 + 0.165474i
\(584\) 1.82924 + 1.53492i 0.0756947 + 0.0635154i
\(585\) 5.33441 + 52.5590i 0.220551 + 2.17305i
\(586\) 2.26899 12.8681i 0.0937310 0.531575i
\(587\) 10.0782 + 27.6896i 0.415971 + 1.14287i 0.953964 + 0.299922i \(0.0969607\pi\)
−0.537992 + 0.842950i \(0.680817\pi\)
\(588\) −3.54744 6.70062i −0.146294 0.276329i
\(589\) −3.67683 + 23.7891i −0.151501 + 0.980214i
\(590\) 14.1554i 0.582769i
\(591\) 26.6896 29.5356i 1.09786 1.21493i
\(592\) 5.09772 + 0.898866i 0.209515 + 0.0369432i
\(593\) 8.16230 + 9.72745i 0.335185 + 0.399458i 0.907141 0.420826i \(-0.138260\pi\)
−0.571956 + 0.820284i \(0.693815\pi\)
\(594\) 10.1358 9.68364i 0.415878 0.397324i
\(595\) 8.49279 + 48.1650i 0.348170 + 1.97457i
\(596\) 20.8706 12.0496i 0.854893 0.493573i
\(597\) 43.8604 + 1.61008i 1.79509 + 0.0658963i
\(598\) 12.7095 + 4.62587i 0.519729 + 0.189166i
\(599\) 16.8817 + 6.14443i 0.689767 + 0.251055i 0.663035 0.748588i \(-0.269268\pi\)
0.0267313 + 0.999643i \(0.491490\pi\)
\(600\) 11.7240 + 0.430381i 0.478632 + 0.0175702i
\(601\) 8.14038 4.69985i 0.332053 0.191711i −0.324699 0.945817i \(-0.605263\pi\)
0.656752 + 0.754106i \(0.271930\pi\)
\(602\) 1.42068 + 8.05706i 0.0579025 + 0.328381i
\(603\) −9.11174 32.2102i −0.371059 1.31170i
\(604\) 9.45237 + 11.2649i 0.384611 + 0.458362i
\(605\) −12.5768 2.21764i −0.511321 0.0901597i
\(606\) 6.56703 7.26728i 0.266767 0.295213i
\(607\) 9.88885i 0.401376i −0.979655 0.200688i \(-0.935682\pi\)
0.979655 0.200688i \(-0.0643177\pi\)
\(608\) 3.82024 + 2.09899i 0.154931 + 0.0851251i
\(609\) 10.3050 + 19.4648i 0.417582 + 0.788752i
\(610\) −5.41350 14.8735i −0.219186 0.602209i
\(611\) 0.114667 0.650309i 0.00463893 0.0263087i
\(612\) 12.6126 1.28010i 0.509834 0.0517449i
\(613\) −24.8777 20.8749i −1.00480 0.843129i −0.0171592 0.999853i \(-0.505462\pi\)
−0.987642 + 0.156724i \(0.949907\pi\)
\(614\) 7.06477 1.24571i 0.285111 0.0502728i
\(615\) −8.39997 5.26977i −0.338720 0.212498i
\(616\) −7.88059 4.54986i −0.317518 0.183319i
\(617\) −7.64721 + 21.0105i −0.307865 + 0.845852i 0.685207 + 0.728348i \(0.259712\pi\)
−0.993072 + 0.117504i \(0.962511\pi\)
\(618\) −6.64991 + 0.922475i −0.267499 + 0.0371074i
\(619\) −9.39662 + 16.2754i −0.377682 + 0.654164i −0.990725 0.135886i \(-0.956612\pi\)
0.613043 + 0.790050i \(0.289945\pi\)
\(620\) −9.47436 16.4101i −0.380500 0.659045i
\(621\) 13.6653 0.882017i 0.548372 0.0353941i
\(622\) 7.39475 8.81272i 0.296503 0.353358i
\(623\) 3.11977 2.61780i 0.124991 0.104880i
\(624\) −2.73179 8.45898i −0.109359 0.338630i
\(625\) 12.2044 4.44205i 0.488178 0.177682i
\(626\) 17.7338 0.708787
\(627\) −15.8038 + 12.8487i −0.631143 + 0.513128i
\(628\) 15.3432 0.612261
\(629\) −20.5551 + 7.48143i −0.819584 + 0.298304i
\(630\) 24.2083 24.8899i 0.964483 0.991638i
\(631\) −22.1517 + 18.5875i −0.881846 + 0.739956i −0.966558 0.256449i \(-0.917447\pi\)
0.0847122 + 0.996405i \(0.473003\pi\)
\(632\) 1.45061 1.72877i 0.0577021 0.0687667i
\(633\) 12.6690 + 16.2754i 0.503547 + 0.646889i
\(634\) 17.0401 + 29.5143i 0.676749 + 1.17216i
\(635\) 9.48879 16.4351i 0.376551 0.652206i
\(636\) 2.02977 + 14.6321i 0.0804856 + 0.580202i
\(637\) 7.68350 21.1102i 0.304431 0.836418i
\(638\) 8.80767 + 5.08511i 0.348699 + 0.201321i
\(639\) −38.7104 2.84590i −1.53136 0.112582i
\(640\) −3.37912 + 0.595829i −0.133571 + 0.0235522i
\(641\) −18.2950 15.3513i −0.722609 0.606341i 0.205497 0.978658i \(-0.434119\pi\)
−0.928106 + 0.372317i \(0.878563\pi\)
\(642\) −11.1994 4.54812i −0.442003 0.179500i
\(643\) 6.83453 38.7606i 0.269528 1.52857i −0.486297 0.873793i \(-0.661653\pi\)
0.755825 0.654774i \(-0.227236\pi\)
\(644\) −3.04028 8.35309i −0.119804 0.329158i
\(645\) −12.7398 + 6.74473i −0.501631 + 0.265574i
\(646\) −18.4157 + 0.390236i −0.724555 + 0.0153536i
\(647\) 24.3840i 0.958633i −0.877642 0.479317i \(-0.840885\pi\)
0.877642 0.479317i \(-0.159115\pi\)
\(648\) −5.97424 6.73116i −0.234690 0.264425i
\(649\) 10.9605 + 1.93263i 0.430237 + 0.0758624i
\(650\) 22.3448 + 26.6295i 0.876436 + 1.04450i
\(651\) −31.5462 6.76427i −1.23639 0.265113i
\(652\) −2.07070 11.7435i −0.0810949 0.459912i
\(653\) −20.0643 + 11.5841i −0.785178 + 0.453323i −0.838262 0.545268i \(-0.816428\pi\)
0.0530845 + 0.998590i \(0.483095\pi\)
\(654\) −0.364219 + 9.92173i −0.0142421 + 0.387970i
\(655\) −47.5322 17.3003i −1.85724 0.675979i
\(656\) 1.56789 + 0.570666i 0.0612159 + 0.0222808i
\(657\) 3.11735 + 6.44989i 0.121619 + 0.251634i
\(658\) −0.375854 + 0.216999i −0.0146523 + 0.00845952i
\(659\) −3.15401 17.8873i −0.122863 0.696790i −0.982554 0.185976i \(-0.940455\pi\)
0.859691 0.510814i \(-0.170656\pi\)
\(660\) 3.36150 15.6769i 0.130846 0.610221i
\(661\) 22.4662 + 26.7742i 0.873835 + 1.04140i 0.998787 + 0.0492336i \(0.0156779\pi\)
−0.124952 + 0.992163i \(0.539878\pi\)
\(662\) 20.5781 + 3.62848i 0.799792 + 0.141025i
\(663\) 27.8704 + 25.1849i 1.08240 + 0.978099i
\(664\) 7.24992i 0.281351i
\(665\) −37.9501 + 33.2391i −1.47164 + 1.28896i
\(666\) 12.8431 + 8.72969i 0.497660 + 0.338269i
\(667\) 3.39794 + 9.33576i 0.131569 + 0.361482i
\(668\) 0.312274 1.77099i 0.0120823 0.0685218i
\(669\) −8.25518 + 20.3277i −0.319164 + 0.785913i
\(670\) −29.3288 24.6098i −1.13307 0.950760i
\(671\) −12.2556 + 2.16099i −0.473122 + 0.0834242i
\(672\) −3.10477 + 4.94898i −0.119769 + 0.190911i
\(673\) −8.97335 5.18077i −0.345897 0.199704i 0.316980 0.948432i \(-0.397331\pi\)
−0.662877 + 0.748729i \(0.730665\pi\)
\(674\) −10.1824 + 27.9758i −0.392210 + 1.07759i
\(675\) 31.5507 + 15.5981i 1.21439 + 0.600372i
\(676\) 6.66951 11.5519i 0.256520 0.444305i
\(677\) −2.66151 4.60988i −0.102290 0.177172i 0.810338 0.585963i \(-0.199284\pi\)
−0.912628 + 0.408791i \(0.865950\pi\)
\(678\) −23.0859 + 17.9704i −0.886608 + 0.690147i
\(679\) −19.8590 + 23.6670i −0.762117 + 0.908255i
\(680\) 11.1074 9.32025i 0.425951 0.357415i
\(681\) −6.22955 + 2.01181i −0.238717 + 0.0770927i
\(682\) −13.9998 + 5.09551i −0.536080 + 0.195117i
\(683\) −29.5958 −1.13245 −0.566226 0.824250i \(-0.691597\pi\)
−0.566226 + 0.824250i \(0.691597\pi\)
\(684\) 7.87144 + 10.4422i 0.300972 + 0.399269i
\(685\) −68.4183 −2.61413
\(686\) 8.31289 3.02564i 0.317388 0.115520i
\(687\) −25.2545 + 8.15584i −0.963519 + 0.311165i
\(688\) 1.85806 1.55910i 0.0708378 0.0594400i
\(689\) −28.1354 + 33.5305i −1.07187 + 1.27741i
\(690\) 12.3592 9.62058i 0.470507 0.366249i
\(691\) 9.35680 + 16.2065i 0.355950 + 0.616523i 0.987280 0.158991i \(-0.0508241\pi\)
−0.631330 + 0.775514i \(0.717491\pi\)
\(692\) −3.38816 + 5.86847i −0.128799 + 0.223086i
\(693\) −15.9670 22.1427i −0.606538 0.841130i
\(694\) −1.85819 + 5.10534i −0.0705361 + 0.193796i
\(695\) −4.80833 2.77609i −0.182390 0.105303i
\(696\) 3.47002 5.53118i 0.131531 0.209659i
\(697\) −6.94369 + 1.22436i −0.263011 + 0.0463760i
\(698\) −12.3738 10.3829i −0.468356 0.392997i
\(699\) 15.8428 39.0115i 0.599229 1.47555i
\(700\) 3.96734 22.4999i 0.149951 0.850417i
\(701\) 9.40339 + 25.8356i 0.355161 + 0.975798i 0.980685 + 0.195593i \(0.0626630\pi\)
−0.625524 + 0.780205i \(0.715115\pi\)
\(702\) 2.92958 26.5061i 0.110570 1.00041i
\(703\) −17.5878 14.1339i −0.663337 0.533071i
\(704\) 2.69779i 0.101677i
\(705\) −0.567355 0.512687i −0.0213678 0.0193089i
\(706\) −20.6000 3.63233i −0.775290 0.136705i
\(707\) −12.2610 14.6120i −0.461121 0.549543i
\(708\) 1.49811 6.98667i 0.0563024 0.262575i
\(709\) 7.22305 + 40.9640i 0.271267 + 1.53843i 0.750574 + 0.660786i \(0.229777\pi\)
−0.479307 + 0.877647i \(0.659112\pi\)
\(710\) −38.4467 + 22.1972i −1.44288 + 0.833047i
\(711\) 6.09561 2.94612i 0.228603 0.110488i
\(712\) −1.13458 0.412953i −0.0425201 0.0154761i
\(713\) −13.6759 4.97762i −0.512166 0.186413i
\(714\) 0.905674 24.6716i 0.0338940 0.923310i
\(715\) 41.1425 23.7536i 1.53864 0.888335i
\(716\) −2.49317 14.1395i −0.0931741 0.528416i
\(717\) −22.6236 4.85105i −0.844895 0.181166i
\(718\) −15.1355 18.0378i −0.564852 0.673164i
\(719\) −26.6001 4.69031i −0.992015 0.174919i −0.345992 0.938237i \(-0.612458\pi\)
−0.646022 + 0.763318i \(0.723569\pi\)
\(720\) −9.97901 2.52594i −0.371896 0.0941364i
\(721\) 13.0742i 0.486908i
\(722\) −10.1885 16.0373i −0.379177 0.596846i
\(723\) 33.6292 17.8040i 1.25068 0.662137i
\(724\) 4.09139 + 11.2410i 0.152055 + 0.417768i
\(725\) −4.43406 + 25.1468i −0.164677 + 0.933930i
\(726\) 5.97283 + 2.42560i 0.221673 + 0.0900225i
\(727\) 23.4708 + 19.6943i 0.870483 + 0.730422i 0.964200 0.265177i \(-0.0854303\pi\)
−0.0937165 + 0.995599i \(0.529875\pi\)
\(728\) −17.0479 + 3.00601i −0.631838 + 0.111410i
\(729\) −8.06779 25.7665i −0.298807 0.954314i
\(730\) 7.09578 + 4.09675i 0.262627 + 0.151628i
\(731\) −3.50562 + 9.63162i −0.129660 + 0.356238i
\(732\) 1.09783 + 7.91401i 0.0405770 + 0.292510i
\(733\) −24.9658 + 43.2420i −0.922132 + 1.59718i −0.126023 + 0.992027i \(0.540221\pi\)
−0.796110 + 0.605152i \(0.793112\pi\)
\(734\) 8.96840 + 15.5337i 0.331030 + 0.573361i
\(735\) −15.9797 20.5285i −0.589418 0.757205i
\(736\) −1.69398 + 2.01881i −0.0624410 + 0.0744143i
\(737\) −23.0596 + 19.3493i −0.849410 + 0.712740i
\(738\) 3.58825 + 3.48999i 0.132085 + 0.128468i
\(739\) 32.2619 11.7424i 1.18677 0.431950i 0.328183 0.944614i \(-0.393564\pi\)
0.858589 + 0.512664i \(0.171341\pi\)
\(740\) 17.7614 0.652921
\(741\) −7.31916 + 38.0494i −0.268876 + 1.39778i
\(742\) 28.7678 1.05610
\(743\) 27.6540 10.0652i 1.01453 0.369257i 0.219357 0.975645i \(-0.429604\pi\)
0.795169 + 0.606387i \(0.207382\pi\)
\(744\) 2.93952 + 9.10220i 0.107768 + 0.333703i
\(745\) 63.3446 53.1525i 2.32077 1.94736i
\(746\) 9.10081 10.8459i 0.333204 0.397097i
\(747\) −8.91734 + 19.8377i −0.326269 + 0.725822i
\(748\) −5.70015 9.87295i −0.208418 0.360991i
\(749\) −11.7698 + 20.3860i −0.430061 + 0.744887i
\(750\) 10.4398 1.44820i 0.381206 0.0528808i
\(751\) 0.559448 1.53707i 0.0204145 0.0560885i −0.929067 0.369912i \(-0.879388\pi\)
0.949481 + 0.313824i \(0.101610\pi\)
\(752\) 0.111429 + 0.0643337i 0.00406341 + 0.00234601i
\(753\) −9.94920 6.24169i −0.362569 0.227460i
\(754\) 19.0534 3.35964i 0.693886 0.122351i
\(755\) 38.6526 + 32.4334i 1.40671 + 1.18037i
\(756\) −14.5827 + 9.72284i −0.530366 + 0.353616i
\(757\) 4.17165 23.6586i 0.151621 0.859887i −0.810189 0.586169i \(-0.800635\pi\)
0.961810 0.273718i \(-0.0882534\pi\)
\(758\) −0.429560 1.18021i −0.0156023 0.0428670i
\(759\) −5.76179 10.8832i −0.209140 0.395035i
\(760\) 14.1597 + 4.81651i 0.513626 + 0.174713i
\(761\) 12.8974i 0.467530i 0.972293 + 0.233765i \(0.0751047\pi\)
−0.972293 + 0.233765i \(0.924895\pi\)
\(762\) −6.42274 + 7.10761i −0.232671 + 0.257481i
\(763\) 19.0410 + 3.35745i 0.689332 + 0.121548i
\(764\) 6.53405 + 7.78698i 0.236394 + 0.281723i
\(765\) 41.8567 11.8406i 1.51333 0.428096i
\(766\) 0.465296 + 2.63882i 0.0168118 + 0.0953446i
\(767\) 18.3359 10.5862i 0.662069 0.382246i
\(768\) 1.73088 + 0.0635395i 0.0624579 + 0.00229278i
\(769\) 21.8210 + 7.94220i 0.786886 + 0.286403i 0.704041 0.710159i \(-0.251377\pi\)
0.0828452 + 0.996562i \(0.473599\pi\)
\(770\) −29.3404 10.6790i −1.05735 0.384845i
\(771\) 30.8071 + 1.13090i 1.10949 + 0.0407285i
\(772\)