Properties

Label 138.2.f.a.11.4
Level $138$
Weight $2$
Character 138.11
Analytic conductor $1.102$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 138 = 2 \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 138.f (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.10193554789\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(8\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 11.4
Character \(\chi\) \(=\) 138.11
Dual form 138.2.f.a.113.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.540641 - 0.841254i) q^{2} +(1.70890 + 0.282234i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(2.84902 - 0.836549i) q^{5} +(-0.686471 - 1.59021i) q^{6} +(-3.02354 + 2.61991i) q^{7} +(0.989821 - 0.142315i) q^{8} +(2.84069 + 0.964621i) q^{9} +O(q^{10})\) \(q+(-0.540641 - 0.841254i) q^{2} +(1.70890 + 0.282234i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(2.84902 - 0.836549i) q^{5} +(-0.686471 - 1.59021i) q^{6} +(-3.02354 + 2.61991i) q^{7} +(0.989821 - 0.142315i) q^{8} +(2.84069 + 0.964621i) q^{9} +(-2.24405 - 1.94448i) q^{10} +(-2.79349 - 1.79527i) q^{11} +(-0.966633 + 1.43723i) q^{12} +(1.31691 - 1.51980i) q^{13} +(3.83866 + 1.12713i) q^{14} +(5.10480 - 0.625487i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(-0.139786 - 0.306088i) q^{17} +(-0.724301 - 2.91125i) q^{18} +(-4.42768 - 2.02205i) q^{19} +(-0.422576 + 2.93908i) q^{20} +(-5.90636 + 3.62383i) q^{21} +3.32063i q^{22} +(0.384545 - 4.78039i) q^{23} +(1.73167 + 0.0361594i) q^{24} +(3.21085 - 2.06349i) q^{25} +(-1.99051 - 0.286192i) q^{26} +(4.58221 + 2.45018i) q^{27} +(-1.12713 - 3.83866i) q^{28} +(-6.14380 + 2.80578i) q^{29} +(-3.28606 - 3.95627i) q^{30} +(1.10880 + 7.71186i) q^{31} +(-0.281733 + 0.959493i) q^{32} +(-4.26712 - 3.85635i) q^{33} +(-0.181924 + 0.283079i) q^{34} +(-6.42246 + 9.99354i) q^{35} +(-2.05751 + 2.18326i) q^{36} +(-2.31258 + 7.87592i) q^{37} +(0.692724 + 4.81800i) q^{38} +(2.67941 - 2.22551i) q^{39} +(2.70097 - 1.23349i) q^{40} +(-0.321149 - 1.09373i) q^{41} +(6.24178 + 3.00956i) q^{42} +(-0.439950 - 0.0632552i) q^{43} +(2.79349 - 1.79527i) q^{44} +(8.90014 + 0.371853i) q^{45} +(-4.22942 + 2.26097i) q^{46} -8.33095i q^{47} +(-0.905794 - 1.47633i) q^{48} +(1.28165 - 8.91409i) q^{49} +(-3.47183 - 1.58553i) q^{50} +(-0.152491 - 0.562526i) q^{51} +(0.835391 + 1.82925i) q^{52} +(0.581719 + 0.671339i) q^{53} +(-0.416105 - 5.17946i) q^{54} +(-9.46055 - 2.77787i) q^{55} +(-2.61991 + 3.02354i) q^{56} +(-6.99577 - 4.70513i) q^{57} +(5.68196 + 3.65157i) q^{58} +(3.38202 + 2.93054i) q^{59} +(-1.55165 + 4.90333i) q^{60} +(7.37119 - 1.05982i) q^{61} +(5.88816 - 5.10212i) q^{62} +(-11.1162 + 4.52579i) q^{63} +(0.959493 - 0.281733i) q^{64} +(2.48053 - 5.43160i) q^{65} +(-0.937195 + 5.67463i) q^{66} +(-6.97092 - 10.8470i) q^{67} +0.336496 q^{68} +(2.00634 - 8.06068i) q^{69} +11.8793 q^{70} +(6.79016 + 10.5657i) q^{71} +(2.94905 + 0.550530i) q^{72} +(4.56063 - 9.98639i) q^{73} +(7.87592 - 2.31258i) q^{74} +(6.06941 - 2.62009i) q^{75} +(3.67865 - 3.18756i) q^{76} +(13.1497 - 1.89064i) q^{77} +(-3.32081 - 1.05086i) q^{78} +(11.8282 + 10.2492i) q^{79} +(-2.49793 - 1.60533i) q^{80} +(7.13901 + 5.48037i) q^{81} +(-0.746481 + 0.861485i) q^{82} +(-5.91068 - 1.73553i) q^{83} +(-0.842757 - 6.87801i) q^{84} +(-0.654309 - 0.755113i) q^{85} +(0.184641 + 0.404308i) q^{86} +(-11.2910 + 3.06081i) q^{87} +(-3.02055 - 1.37944i) q^{88} +(1.63266 - 11.3554i) q^{89} +(-4.49895 - 7.68831i) q^{90} +8.04537i q^{91} +(4.18865 + 2.33564i) q^{92} +(-0.281724 + 13.4917i) q^{93} +(-7.00844 + 4.50405i) q^{94} +(-14.3061 - 2.05691i) q^{95} +(-0.752255 + 1.56016i) q^{96} +(1.88225 + 6.41036i) q^{97} +(-8.19193 + 3.74113i) q^{98} +(-6.20368 - 7.79446i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80 q + 4 q^{3} + 8 q^{4} + 4 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 80 q + 4 q^{3} + 8 q^{4} + 4 q^{6} - 4 q^{12} + 8 q^{13} - 22 q^{15} - 8 q^{16} - 28 q^{18} - 66 q^{21} - 4 q^{24} - 48 q^{25} - 38 q^{27} - 44 q^{30} - 16 q^{31} - 22 q^{33} - 44 q^{37} - 24 q^{39} - 44 q^{43} - 16 q^{46} + 4 q^{48} - 76 q^{49} - 8 q^{52} - 6 q^{54} + 64 q^{55} + 66 q^{57} + 36 q^{58} + 22 q^{60} + 88 q^{61} + 110 q^{63} + 8 q^{64} + 88 q^{66} + 44 q^{67} + 82 q^{69} + 112 q^{70} + 28 q^{72} + 52 q^{73} + 136 q^{75} + 82 q^{78} + 88 q^{79} + 36 q^{81} + 44 q^{82} + 22 q^{84} + 20 q^{85} - 10 q^{87} + 8 q^{93} - 56 q^{94} + 4 q^{96} - 132 q^{97} - 66 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(97\)
\(\chi(n)\) \(-1\) \(e\left(\frac{9}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.540641 0.841254i −0.382291 0.594856i
\(3\) 1.70890 + 0.282234i 0.986635 + 0.162948i
\(4\) −0.415415 + 0.909632i −0.207708 + 0.454816i
\(5\) 2.84902 0.836549i 1.27412 0.374116i 0.426389 0.904540i \(-0.359785\pi\)
0.847733 + 0.530424i \(0.177967\pi\)
\(6\) −0.686471 1.59021i −0.280251 0.649199i
\(7\) −3.02354 + 2.61991i −1.14279 + 0.990235i −0.142792 + 0.989753i \(0.545608\pi\)
−1.00000 0.000481787i \(0.999847\pi\)
\(8\) 0.989821 0.142315i 0.349955 0.0503159i
\(9\) 2.84069 + 0.964621i 0.946896 + 0.321540i
\(10\) −2.24405 1.94448i −0.709630 0.614898i
\(11\) −2.79349 1.79527i −0.842269 0.541294i 0.0468854 0.998900i \(-0.485070\pi\)
−0.889155 + 0.457607i \(0.848707\pi\)
\(12\) −0.966633 + 1.43723i −0.279043 + 0.414892i
\(13\) 1.31691 1.51980i 0.365246 0.421516i −0.543145 0.839639i \(-0.682767\pi\)
0.908390 + 0.418123i \(0.137312\pi\)
\(14\) 3.83866 + 1.12713i 1.02593 + 0.301239i
\(15\) 5.10480 0.625487i 1.31805 0.161500i
\(16\) −0.654861 0.755750i −0.163715 0.188937i
\(17\) −0.139786 0.306088i −0.0339030 0.0742371i 0.891923 0.452188i \(-0.149356\pi\)
−0.925826 + 0.377950i \(0.876629\pi\)
\(18\) −0.724301 2.91125i −0.170719 0.686189i
\(19\) −4.42768 2.02205i −1.01578 0.463890i −0.163257 0.986584i \(-0.552200\pi\)
−0.852521 + 0.522693i \(0.824927\pi\)
\(20\) −0.422576 + 2.93908i −0.0944908 + 0.657198i
\(21\) −5.90636 + 3.62383i −1.28887 + 0.790784i
\(22\) 3.32063i 0.707961i
\(23\) 0.384545 4.78039i 0.0801833 0.996780i
\(24\) 1.73167 + 0.0361594i 0.353476 + 0.00738101i
\(25\) 3.21085 2.06349i 0.642170 0.412698i
\(26\) −1.99051 0.286192i −0.390371 0.0561269i
\(27\) 4.58221 + 2.45018i 0.881846 + 0.471538i
\(28\) −1.12713 3.83866i −0.213008 0.725439i
\(29\) −6.14380 + 2.80578i −1.14087 + 0.521020i −0.894017 0.448032i \(-0.852125\pi\)
−0.246857 + 0.969052i \(0.579398\pi\)
\(30\) −3.28606 3.95627i −0.599949 0.722313i
\(31\) 1.10880 + 7.71186i 0.199146 + 1.38509i 0.806770 + 0.590865i \(0.201214\pi\)
−0.607624 + 0.794225i \(0.707877\pi\)
\(32\) −0.281733 + 0.959493i −0.0498038 + 0.169616i
\(33\) −4.26712 3.85635i −0.742809 0.671305i
\(34\) −0.181924 + 0.283079i −0.0311996 + 0.0485476i
\(35\) −6.42246 + 9.99354i −1.08559 + 1.68922i
\(36\) −2.05751 + 2.18326i −0.342919 + 0.363877i
\(37\) −2.31258 + 7.87592i −0.380186 + 1.29479i 0.518077 + 0.855334i \(0.326648\pi\)
−0.898263 + 0.439459i \(0.855170\pi\)
\(38\) 0.692724 + 4.81800i 0.112375 + 0.781583i
\(39\) 2.67941 2.22551i 0.429049 0.356366i
\(40\) 2.70097 1.23349i 0.427061 0.195032i
\(41\) −0.321149 1.09373i −0.0501551 0.170813i 0.930607 0.366021i \(-0.119280\pi\)
−0.980762 + 0.195208i \(0.937462\pi\)
\(42\) 6.24178 + 3.00956i 0.963128 + 0.464385i
\(43\) −0.439950 0.0632552i −0.0670917 0.00964633i 0.108687 0.994076i \(-0.465335\pi\)
−0.175779 + 0.984430i \(0.556244\pi\)
\(44\) 2.79349 1.79527i 0.421135 0.270647i
\(45\) 8.90014 + 0.371853i 1.32675 + 0.0554326i
\(46\) −4.22942 + 2.26097i −0.623594 + 0.333362i
\(47\) 8.33095i 1.21519i −0.794245 0.607597i \(-0.792134\pi\)
0.794245 0.607597i \(-0.207866\pi\)
\(48\) −0.905794 1.47633i −0.130740 0.213089i
\(49\) 1.28165 8.91409i 0.183093 1.27344i
\(50\) −3.47183 1.58553i −0.490991 0.224228i
\(51\) −0.152491 0.562526i −0.0213531 0.0787694i
\(52\) 0.835391 + 1.82925i 0.115848 + 0.253671i
\(53\) 0.581719 + 0.671339i 0.0799052 + 0.0922155i 0.794294 0.607533i \(-0.207841\pi\)
−0.714389 + 0.699749i \(0.753295\pi\)
\(54\) −0.416105 5.17946i −0.0566247 0.704836i
\(55\) −9.46055 2.77787i −1.27566 0.374568i
\(56\) −2.61991 + 3.02354i −0.350101 + 0.404038i
\(57\) −6.99577 4.70513i −0.926612 0.623209i
\(58\) 5.68196 + 3.65157i 0.746077 + 0.479475i
\(59\) 3.38202 + 2.93054i 0.440302 + 0.381524i 0.846611 0.532212i \(-0.178639\pi\)
−0.406309 + 0.913736i \(0.633185\pi\)
\(60\) −1.55165 + 4.90333i −0.200317 + 0.633017i
\(61\) 7.37119 1.05982i 0.943784 0.135696i 0.346791 0.937942i \(-0.387271\pi\)
0.596993 + 0.802247i \(0.296362\pi\)
\(62\) 5.88816 5.10212i 0.747798 0.647970i
\(63\) −11.1162 + 4.52579i −1.40050 + 0.570196i
\(64\) 0.959493 0.281733i 0.119937 0.0352166i
\(65\) 2.48053 5.43160i 0.307672 0.673707i
\(66\) −0.937195 + 5.67463i −0.115361 + 0.698499i
\(67\) −6.97092 10.8470i −0.851634 1.32517i −0.944170 0.329459i \(-0.893134\pi\)
0.0925361 0.995709i \(-0.470503\pi\)
\(68\) 0.336496 0.0408061
\(69\) 2.00634 8.06068i 0.241535 0.970392i
\(70\) 11.8793 1.41985
\(71\) 6.79016 + 10.5657i 0.805843 + 1.25392i 0.963841 + 0.266477i \(0.0858597\pi\)
−0.157998 + 0.987439i \(0.550504\pi\)
\(72\) 2.94905 + 0.550530i 0.347549 + 0.0648806i
\(73\) 4.56063 9.98639i 0.533782 1.16882i −0.430172 0.902747i \(-0.641547\pi\)
0.963953 0.266072i \(-0.0857257\pi\)
\(74\) 7.87592 2.31258i 0.915557 0.268832i
\(75\) 6.06941 2.62009i 0.700836 0.302542i
\(76\) 3.67865 3.18756i 0.421970 0.365639i
\(77\) 13.1497 1.89064i 1.49855 0.215458i
\(78\) −3.32081 1.05086i −0.376008 0.118987i
\(79\) 11.8282 + 10.2492i 1.33078 + 1.15313i 0.975901 + 0.218213i \(0.0700227\pi\)
0.354877 + 0.934913i \(0.384523\pi\)
\(80\) −2.49793 1.60533i −0.279278 0.179481i
\(81\) 7.13901 + 5.48037i 0.793224 + 0.608930i
\(82\) −0.746481 + 0.861485i −0.0824351 + 0.0951351i
\(83\) −5.91068 1.73553i −0.648781 0.190499i −0.0592477 0.998243i \(-0.518870\pi\)
−0.589533 + 0.807744i \(0.700688\pi\)
\(84\) −0.842757 6.87801i −0.0919524 0.750453i
\(85\) −0.654309 0.755113i −0.0709698 0.0819035i
\(86\) 0.184641 + 0.404308i 0.0199104 + 0.0435976i
\(87\) −11.2910 + 3.06081i −1.21053 + 0.328153i
\(88\) −3.02055 1.37944i −0.321992 0.147049i
\(89\) 1.63266 11.3554i 0.173061 1.20367i −0.699309 0.714820i \(-0.746509\pi\)
0.872370 0.488847i \(-0.162582\pi\)
\(90\) −4.49895 7.68831i −0.474231 0.810419i
\(91\) 8.04537i 0.843383i
\(92\) 4.18865 + 2.33564i 0.436697 + 0.243507i
\(93\) −0.281724 + 13.4917i −0.0292134 + 1.39903i
\(94\) −7.00844 + 4.50405i −0.722866 + 0.464558i
\(95\) −14.3061 2.05691i −1.46777 0.211034i
\(96\) −0.752255 + 1.56016i −0.0767767 + 0.159234i
\(97\) 1.88225 + 6.41036i 0.191114 + 0.650874i 0.998174 + 0.0604046i \(0.0192391\pi\)
−0.807060 + 0.590469i \(0.798943\pi\)
\(98\) −8.19193 + 3.74113i −0.827510 + 0.377911i
\(99\) −6.20368 7.79446i −0.623494 0.783372i
\(100\) 0.543180 + 3.77790i 0.0543180 + 0.377790i
\(101\) 0.162410 0.553117i 0.0161604 0.0550372i −0.951018 0.309135i \(-0.899960\pi\)
0.967178 + 0.254098i \(0.0817786\pi\)
\(102\) −0.390784 + 0.432408i −0.0386934 + 0.0428148i
\(103\) 3.74407 5.82588i 0.368914 0.574041i −0.606319 0.795221i \(-0.707355\pi\)
0.975233 + 0.221180i \(0.0709910\pi\)
\(104\) 1.08722 1.69174i 0.106610 0.165889i
\(105\) −13.7959 + 15.2653i −1.34634 + 1.48974i
\(106\) 0.250266 0.852326i 0.0243079 0.0827852i
\(107\) −0.163240 1.13536i −0.0157810 0.109759i 0.980408 0.196976i \(-0.0631120\pi\)
−0.996189 + 0.0872163i \(0.972203\pi\)
\(108\) −4.13228 + 3.15028i −0.397629 + 0.303136i
\(109\) −9.88716 + 4.51532i −0.947019 + 0.432489i −0.828203 0.560427i \(-0.810637\pi\)
−0.118815 + 0.992916i \(0.537910\pi\)
\(110\) 2.77787 + 9.46055i 0.264859 + 0.902028i
\(111\) −6.17482 + 12.8065i −0.586088 + 1.21554i
\(112\) 3.96000 + 0.569362i 0.374185 + 0.0537996i
\(113\) 3.76459 2.41935i 0.354142 0.227594i −0.351458 0.936204i \(-0.614314\pi\)
0.705600 + 0.708610i \(0.250678\pi\)
\(114\) −0.176008 + 8.42900i −0.0164846 + 0.789448i
\(115\) −2.90345 13.9411i −0.270748 1.30002i
\(116\) 6.75416i 0.627108i
\(117\) 5.20696 3.04695i 0.481384 0.281690i
\(118\) 0.636867 4.42951i 0.0586283 0.407769i
\(119\) 1.22457 + 0.559243i 0.112256 + 0.0512657i
\(120\) 4.96383 1.34561i 0.453133 0.122837i
\(121\) 0.0110428 + 0.0241804i 0.00100389 + 0.00219822i
\(122\) −4.87674 5.62806i −0.441519 0.509540i
\(123\) −0.240123 1.95972i −0.0216512 0.176702i
\(124\) −7.47556 2.19502i −0.671325 0.197119i
\(125\) −2.30081 + 2.65528i −0.205791 + 0.237495i
\(126\) 9.81719 + 6.90469i 0.874584 + 0.615118i
\(127\) 8.81530 + 5.66525i 0.782232 + 0.502710i 0.869774 0.493451i \(-0.164265\pi\)
−0.0875418 + 0.996161i \(0.527901\pi\)
\(128\) −0.755750 0.654861i −0.0667995 0.0578821i
\(129\) −0.733978 0.232266i −0.0646232 0.0204499i
\(130\) −5.91042 + 0.849791i −0.518378 + 0.0745316i
\(131\) −7.37999 + 6.39480i −0.644793 + 0.558716i −0.914682 0.404175i \(-0.867559\pi\)
0.269889 + 0.962892i \(0.413013\pi\)
\(132\) 5.28049 2.27952i 0.459607 0.198407i
\(133\) 18.6849 5.48637i 1.62018 0.475729i
\(134\) −5.35628 + 11.7286i −0.462713 + 1.01320i
\(135\) 15.1045 + 3.14738i 1.29999 + 0.270884i
\(136\) −0.181924 0.283079i −0.0155998 0.0242738i
\(137\) −9.33315 −0.797385 −0.398692 0.917085i \(-0.630536\pi\)
−0.398692 + 0.917085i \(0.630536\pi\)
\(138\) −7.86579 + 2.67009i −0.669580 + 0.227293i
\(139\) 20.0639 1.70180 0.850900 0.525328i \(-0.176057\pi\)
0.850900 + 0.525328i \(0.176057\pi\)
\(140\) −6.42246 9.99354i −0.542797 0.844608i
\(141\) 2.35128 14.2368i 0.198013 1.19895i
\(142\) 5.21739 11.4245i 0.437834 0.958722i
\(143\) −6.40722 + 1.88133i −0.535799 + 0.157325i
\(144\) −1.13124 2.77854i −0.0942703 0.231545i
\(145\) −15.1566 + 13.1333i −1.25869 + 1.09066i
\(146\) −10.8668 + 1.56240i −0.899339 + 0.129305i
\(147\) 4.70608 14.8716i 0.388151 1.22659i
\(148\) −6.20351 5.37537i −0.509925 0.441853i
\(149\) 1.22356 + 0.786335i 0.100238 + 0.0644191i 0.589800 0.807550i \(-0.299207\pi\)
−0.489561 + 0.871969i \(0.662843\pi\)
\(150\) −5.48553 3.68939i −0.447892 0.301237i
\(151\) −1.87590 + 2.16490i −0.152658 + 0.176177i −0.826927 0.562309i \(-0.809913\pi\)
0.674269 + 0.738486i \(0.264459\pi\)
\(152\) −4.67038 1.37135i −0.378817 0.111231i
\(153\) −0.101829 1.00434i −0.00823235 0.0811960i
\(154\) −8.69977 10.0401i −0.701047 0.809051i
\(155\) 9.61033 + 21.0437i 0.771920 + 1.69027i
\(156\) 0.911324 + 3.36179i 0.0729643 + 0.269158i
\(157\) −4.03655 1.84343i −0.322152 0.147122i 0.247774 0.968818i \(-0.420301\pi\)
−0.569926 + 0.821696i \(0.693028\pi\)
\(158\) 2.22737 15.4917i 0.177200 1.23245i
\(159\) 0.804625 + 1.31143i 0.0638109 + 0.104003i
\(160\) 2.96930i 0.234744i
\(161\) 11.3615 + 15.4612i 0.895413 + 1.21851i
\(162\) 0.750740 8.96863i 0.0589837 0.704642i
\(163\) 1.84628 1.18653i 0.144612 0.0929363i −0.466334 0.884609i \(-0.654426\pi\)
0.610946 + 0.791672i \(0.290789\pi\)
\(164\) 1.12831 + 0.162226i 0.0881059 + 0.0126677i
\(165\) −15.3831 7.41719i −1.19758 0.577428i
\(166\) 1.73553 + 5.91068i 0.134703 + 0.458758i
\(167\) 11.6185 5.30598i 0.899065 0.410589i 0.0883904 0.996086i \(-0.471828\pi\)
0.810675 + 0.585497i \(0.199100\pi\)
\(168\) −5.33052 + 4.42751i −0.411259 + 0.341590i
\(169\) 1.27457 + 8.86480i 0.0980436 + 0.681908i
\(170\) −0.281495 + 0.958685i −0.0215897 + 0.0735278i
\(171\) −10.6271 10.0150i −0.812677 0.765870i
\(172\) 0.240301 0.373915i 0.0183228 0.0285108i
\(173\) 9.24628 14.3875i 0.702982 1.09386i −0.287708 0.957718i \(-0.592893\pi\)
0.990689 0.136142i \(-0.0434705\pi\)
\(174\) 8.67931 + 7.84382i 0.657976 + 0.594638i
\(175\) −4.30198 + 14.6512i −0.325199 + 1.10753i
\(176\) 0.472575 + 3.28683i 0.0356217 + 0.247754i
\(177\) 4.95244 + 5.96252i 0.372248 + 0.448171i
\(178\) −10.4354 + 4.76570i −0.782168 + 0.357204i
\(179\) −4.74950 16.1753i −0.354994 1.20900i −0.922619 0.385712i \(-0.873956\pi\)
0.567625 0.823287i \(-0.307862\pi\)
\(180\) −4.03550 + 7.94138i −0.300788 + 0.591915i
\(181\) −22.3862 3.21865i −1.66395 0.239240i −0.754875 0.655869i \(-0.772302\pi\)
−0.909077 + 0.416629i \(0.863211\pi\)
\(182\) 6.76819 4.34965i 0.501692 0.322418i
\(183\) 12.8957 + 0.269279i 0.953281 + 0.0199056i
\(184\) −0.299689 4.78646i −0.0220934 0.352862i
\(185\) 24.3733i 1.79196i
\(186\) 11.5023 7.05718i 0.843389 0.517458i
\(187\) −0.159020 + 1.10601i −0.0116287 + 0.0808791i
\(188\) 7.57810 + 3.46080i 0.552690 + 0.252405i
\(189\) −20.2738 + 4.59676i −1.47470 + 0.334365i
\(190\) 6.00408 + 13.1471i 0.435582 + 0.953791i
\(191\) 5.13683 + 5.92822i 0.371688 + 0.428951i 0.910522 0.413461i \(-0.135680\pi\)
−0.538834 + 0.842412i \(0.681135\pi\)
\(192\) 1.71919 0.210651i 0.124072 0.0152025i
\(193\) 4.35595 + 1.27902i 0.313548 + 0.0920661i 0.434721 0.900565i \(-0.356847\pi\)
−0.121172 + 0.992632i \(0.538665\pi\)
\(194\) 4.37512 5.04916i 0.314115 0.362508i
\(195\) 5.77196 8.58197i 0.413339 0.614568i
\(196\) 7.57613 + 4.86888i 0.541152 + 0.347777i
\(197\) −4.14385 3.59067i −0.295237 0.255825i 0.494628 0.869105i \(-0.335304\pi\)
−0.789865 + 0.613280i \(0.789850\pi\)
\(198\) −3.20315 + 9.43287i −0.227638 + 0.670365i
\(199\) 9.25058 1.33003i 0.655756 0.0942835i 0.193598 0.981081i \(-0.437984\pi\)
0.462158 + 0.886797i \(0.347075\pi\)
\(200\) 2.88450 2.49944i 0.203965 0.176737i
\(201\) −8.85124 20.5038i −0.624318 1.44623i
\(202\) −0.553117 + 0.162410i −0.0389172 + 0.0114271i
\(203\) 11.2251 24.5796i 0.787850 1.72515i
\(204\) 0.575039 + 0.0949707i 0.0402608 + 0.00664928i
\(205\) −1.82992 2.84742i −0.127807 0.198872i
\(206\) −6.92524 −0.482504
\(207\) 5.70364 13.2087i 0.396430 0.918065i
\(208\) −2.01098 −0.139436
\(209\) 8.73855 + 13.5974i 0.604458 + 0.940555i
\(210\) 20.3006 + 3.35276i 1.40088 + 0.231362i
\(211\) −0.549711 + 1.20370i −0.0378437 + 0.0828661i −0.927610 0.373551i \(-0.878140\pi\)
0.889766 + 0.456417i \(0.150867\pi\)
\(212\) −0.852326 + 0.250266i −0.0585380 + 0.0171883i
\(213\) 8.62171 + 19.9721i 0.590750 + 1.36847i
\(214\) −0.866870 + 0.751148i −0.0592580 + 0.0513474i
\(215\) −1.30634 + 0.187824i −0.0890919 + 0.0128095i
\(216\) 4.88426 + 1.77313i 0.332332 + 0.120646i
\(217\) −23.5569 20.4122i −1.59915 1.38567i
\(218\) 9.14393 + 5.87645i 0.619305 + 0.398003i
\(219\) 10.6122 15.7786i 0.717104 1.06622i
\(220\) 6.45689 7.45165i 0.435324 0.502390i
\(221\) −0.649276 0.190645i −0.0436750 0.0128241i
\(222\) 14.1119 1.72912i 0.947126 0.116051i
\(223\) −3.43565 3.96496i −0.230068 0.265513i 0.628964 0.777435i \(-0.283479\pi\)
−0.859032 + 0.511921i \(0.828934\pi\)
\(224\) −1.66196 3.63918i −0.111044 0.243153i
\(225\) 11.1115 2.76447i 0.740767 0.184298i
\(226\) −4.07058 1.85897i −0.270771 0.123657i
\(227\) 0.0525893 0.365766i 0.00349047 0.0242768i −0.988002 0.154443i \(-0.950642\pi\)
0.991492 + 0.130166i \(0.0415509\pi\)
\(228\) 7.18608 4.40899i 0.475910 0.291993i
\(229\) 24.3543i 1.60938i 0.593698 + 0.804688i \(0.297668\pi\)
−0.593698 + 0.804688i \(0.702332\pi\)
\(230\) −10.1583 + 9.97968i −0.669819 + 0.658041i
\(231\) 23.0051 + 0.480374i 1.51363 + 0.0316063i
\(232\) −5.68196 + 3.65157i −0.373039 + 0.239737i
\(233\) −1.72714 0.248325i −0.113149 0.0162683i 0.0855079 0.996337i \(-0.472749\pi\)
−0.198656 + 0.980069i \(0.563658\pi\)
\(234\) −5.37835 2.73307i −0.351594 0.178666i
\(235\) −6.96925 23.7351i −0.454624 1.54831i
\(236\) −4.07065 + 1.85901i −0.264977 + 0.121011i
\(237\) 17.3206 + 20.8532i 1.12509 + 1.35456i
\(238\) −0.191588 1.33252i −0.0124188 0.0863747i
\(239\) −6.95175 + 23.6755i −0.449672 + 1.53144i 0.353350 + 0.935491i \(0.385042\pi\)
−0.803022 + 0.595950i \(0.796776\pi\)
\(240\) −3.81565 3.44834i −0.246299 0.222590i
\(241\) −1.26781 + 1.97275i −0.0816666 + 0.127076i −0.879684 0.475559i \(-0.842246\pi\)
0.798017 + 0.602634i \(0.205882\pi\)
\(242\) 0.0143716 0.0223627i 0.000923843 0.00143753i
\(243\) 10.6531 + 11.3803i 0.683398 + 0.730046i
\(244\) −2.09806 + 7.14533i −0.134314 + 0.457433i
\(245\) −3.80561 26.4686i −0.243132 1.69102i
\(246\) −1.51880 + 1.26151i −0.0968354 + 0.0804310i
\(247\) −8.90396 + 4.06630i −0.566546 + 0.258733i
\(248\) 2.19502 + 7.47556i 0.139384 + 0.474699i
\(249\) −9.61094 4.63405i −0.609068 0.293671i
\(250\) 3.47768 + 0.500014i 0.219948 + 0.0316237i
\(251\) −8.50239 + 5.46416i −0.536666 + 0.344894i −0.780734 0.624864i \(-0.785155\pi\)
0.244068 + 0.969758i \(0.421518\pi\)
\(252\) 0.501020 11.9917i 0.0315613 0.755406i
\(253\) −9.65630 + 12.6636i −0.607087 + 0.796155i
\(254\) 10.4788i 0.657497i
\(255\) −0.905031 1.47508i −0.0566753 0.0923732i
\(256\) −0.142315 + 0.989821i −0.00889468 + 0.0618638i
\(257\) −1.49729 0.683789i −0.0933983 0.0426536i 0.368168 0.929759i \(-0.379985\pi\)
−0.461566 + 0.887106i \(0.652712\pi\)
\(258\) 0.201424 + 0.743034i 0.0125401 + 0.0462593i
\(259\) −13.6421 29.8719i −0.847676 1.85615i
\(260\) 3.91031 + 4.51273i 0.242507 + 0.279868i
\(261\) −20.1591 + 2.04391i −1.24782 + 0.126515i
\(262\) 9.36957 + 2.75116i 0.578854 + 0.169967i
\(263\) 3.18074 3.67076i 0.196133 0.226349i −0.649161 0.760651i \(-0.724880\pi\)
0.845294 + 0.534302i \(0.179425\pi\)
\(264\) −4.77250 3.20983i −0.293727 0.197551i
\(265\) 2.21894 + 1.42602i 0.136308 + 0.0876000i
\(266\) −14.7172 12.7526i −0.902371 0.781909i
\(267\) 5.99492 18.9444i 0.366883 1.15938i
\(268\) 12.7626 1.83498i 0.779598 0.112089i
\(269\) 7.36354 6.38054i 0.448963 0.389028i −0.400824 0.916155i \(-0.631276\pi\)
0.849787 + 0.527127i \(0.176731\pi\)
\(270\) −5.51837 14.4083i −0.335837 0.876863i
\(271\) −14.8160 + 4.35037i −0.900007 + 0.264266i −0.698829 0.715289i \(-0.746295\pi\)
−0.201178 + 0.979555i \(0.564477\pi\)
\(272\) −0.139786 + 0.306088i −0.00847574 + 0.0185593i
\(273\) −2.27068 + 13.7487i −0.137428 + 0.832111i
\(274\) 5.04588 + 7.85154i 0.304833 + 0.474329i
\(275\) −12.6740 −0.764271
\(276\) 6.49879 + 5.17356i 0.391181 + 0.311412i
\(277\) 1.96700 0.118185 0.0590927 0.998252i \(-0.481179\pi\)
0.0590927 + 0.998252i \(0.481179\pi\)
\(278\) −10.8474 16.8788i −0.650582 1.01233i
\(279\) −4.28927 + 22.9765i −0.256792 + 1.37557i
\(280\) −4.93486 + 10.8058i −0.294914 + 0.645772i
\(281\) −6.61909 + 1.94354i −0.394862 + 0.115942i −0.473135 0.880990i \(-0.656878\pi\)
0.0782730 + 0.996932i \(0.475059\pi\)
\(282\) −13.2479 + 5.71896i −0.788903 + 0.340559i
\(283\) 8.48295 7.35052i 0.504259 0.436943i −0.365214 0.930924i \(-0.619004\pi\)
0.869473 + 0.493981i \(0.164459\pi\)
\(284\) −12.4316 + 1.78740i −0.737681 + 0.106063i
\(285\) −23.8672 7.55272i −1.41377 0.447384i
\(286\) 5.04668 + 4.37298i 0.298417 + 0.258579i
\(287\) 3.83650 + 2.46557i 0.226461 + 0.145538i
\(288\) −1.72586 + 2.45385i −0.101697 + 0.144595i
\(289\) 11.0585 12.7622i 0.650499 0.750716i
\(290\) 19.2427 + 5.65018i 1.12997 + 0.331790i
\(291\) 1.40736 + 11.4859i 0.0825009 + 0.673316i
\(292\) 7.18939 + 8.29699i 0.420727 + 0.485545i
\(293\) 4.76749 + 10.4393i 0.278520 + 0.609873i 0.996257 0.0864410i \(-0.0275494\pi\)
−0.717737 + 0.696314i \(0.754822\pi\)
\(294\) −15.0551 + 4.08118i −0.878029 + 0.238019i
\(295\) 12.0870 + 5.51995i 0.703732 + 0.321384i
\(296\) −1.16818 + 8.12487i −0.0678991 + 0.472248i
\(297\) −8.40162 15.0708i −0.487512 0.874499i
\(298\) 1.45445i 0.0842541i
\(299\) −6.75881 6.87978i −0.390872 0.397868i
\(300\) −0.138011 + 6.60936i −0.00796808 + 0.381591i
\(301\) 1.49593 0.961376i 0.0862240 0.0554128i
\(302\) 2.83542 + 0.407671i 0.163160 + 0.0234589i
\(303\) 0.433651 0.899385i 0.0249126 0.0516683i
\(304\) 1.37135 + 4.67038i 0.0786521 + 0.267864i
\(305\) 20.1141 9.18580i 1.15173 0.525977i
\(306\) −0.789851 + 0.628650i −0.0451528 + 0.0359376i
\(307\) 1.11094 + 7.72674i 0.0634046 + 0.440989i 0.996652 + 0.0817554i \(0.0260526\pi\)
−0.933248 + 0.359233i \(0.883038\pi\)
\(308\) −3.74279 + 12.7468i −0.213265 + 0.726315i
\(309\) 8.04250 8.89915i 0.457522 0.506255i
\(310\) 12.5073 19.4618i 0.710369 1.10536i
\(311\) −15.3196 + 23.8377i −0.868694 + 1.35171i 0.0665772 + 0.997781i \(0.478792\pi\)
−0.935271 + 0.353933i \(0.884844\pi\)
\(312\) 2.33542 2.58417i 0.132217 0.146300i
\(313\) −3.74744 + 12.7626i −0.211818 + 0.721385i 0.783207 + 0.621761i \(0.213582\pi\)
−0.995025 + 0.0996245i \(0.968236\pi\)
\(314\) 0.631532 + 4.39240i 0.0356394 + 0.247878i
\(315\) −27.8842 + 22.1933i −1.57109 + 1.25045i
\(316\) −14.2366 + 6.50165i −0.800873 + 0.365746i
\(317\) −1.67282 5.69709i −0.0939547 0.319980i 0.899083 0.437779i \(-0.144235\pi\)
−0.993038 + 0.117798i \(0.962416\pi\)
\(318\) 0.668235 1.38591i 0.0374727 0.0777179i
\(319\) 22.1998 + 3.19184i 1.24295 + 0.178709i
\(320\) 2.49793 1.60533i 0.139639 0.0897404i
\(321\) 0.0414761 1.98629i 0.00231497 0.110864i
\(322\) 6.86427 17.9169i 0.382531 0.998468i
\(323\) 1.63791i 0.0911357i
\(324\) −7.95078 + 4.21725i −0.441710 + 0.234291i
\(325\) 1.09232 7.59727i 0.0605912 0.421421i
\(326\) −1.99635 0.911701i −0.110567 0.0504944i
\(327\) −18.1706 + 4.92574i −1.00483 + 0.272394i
\(328\) −0.473535 1.03690i −0.0261466 0.0572531i
\(329\) 21.8264 + 25.1890i 1.20333 + 1.38871i
\(330\) 2.07701 + 16.9512i 0.114336 + 0.933131i
\(331\) −6.96421 2.04488i −0.382788 0.112397i 0.0846768 0.996408i \(-0.473014\pi\)
−0.467464 + 0.884012i \(0.654832\pi\)
\(332\) 4.03408 4.65558i 0.221399 0.255508i
\(333\) −14.1666 + 20.1423i −0.776324 + 1.10379i
\(334\) −10.7451 6.90546i −0.587946 0.377850i
\(335\) −28.9343 25.0717i −1.58085 1.36982i
\(336\) 6.60655 + 2.09063i 0.360417 + 0.114053i
\(337\) −3.18413 + 0.457809i −0.173451 + 0.0249385i −0.228493 0.973546i \(-0.573380\pi\)
0.0550421 + 0.998484i \(0.482471\pi\)
\(338\) 6.76846 5.86491i 0.368156 0.319009i
\(339\) 7.11613 3.07194i 0.386495 0.166845i
\(340\) 0.958685 0.281495i 0.0519920 0.0152662i
\(341\) 10.7474 23.5336i 0.582006 1.27442i
\(342\) −2.67973 + 14.3547i −0.144903 + 0.776211i
\(343\) 4.33836 + 6.75062i 0.234250 + 0.364499i
\(344\) −0.444474 −0.0239644
\(345\) −1.02705 24.6435i −0.0552943 1.32676i
\(346\) −17.1024 −0.919433
\(347\) −6.87059 10.6908i −0.368833 0.573915i 0.606383 0.795173i \(-0.292620\pi\)
−0.975215 + 0.221258i \(0.928984\pi\)
\(348\) 1.90625 11.5422i 0.102186 0.618726i
\(349\) −8.25417 + 18.0741i −0.441836 + 0.967486i 0.549422 + 0.835545i \(0.314848\pi\)
−0.991258 + 0.131940i \(0.957879\pi\)
\(350\) 14.6512 4.30198i 0.783140 0.229951i
\(351\) 9.75814 3.73735i 0.520851 0.199485i
\(352\) 2.50956 2.17455i 0.133760 0.115904i
\(353\) −26.6533 + 3.83217i −1.41861 + 0.203966i −0.808568 0.588402i \(-0.799757\pi\)
−0.610044 + 0.792368i \(0.708848\pi\)
\(354\) 2.33850 7.38984i 0.124290 0.392766i
\(355\) 28.1840 + 24.4216i 1.49585 + 1.29616i
\(356\) 9.65098 + 6.20231i 0.511501 + 0.328722i
\(357\) 1.93483 + 1.30131i 0.102402 + 0.0688724i
\(358\) −11.0398 + 12.7406i −0.583469 + 0.673359i
\(359\) −2.98130 0.875389i −0.157347 0.0462013i 0.202110 0.979363i \(-0.435220\pi\)
−0.359457 + 0.933161i \(0.617038\pi\)
\(360\) 8.86247 0.898553i 0.467093 0.0473579i
\(361\) 3.07326 + 3.54673i 0.161751 + 0.186670i
\(362\) 9.39518 + 20.5726i 0.493800 + 1.08127i
\(363\) 0.0120465 + 0.0444385i 0.000632279 + 0.00233242i
\(364\) −7.31832 3.34217i −0.383584 0.175177i
\(365\) 4.63924 32.2666i 0.242829 1.68891i
\(366\) −6.74544 10.9942i −0.352590 0.574675i
\(367\) 17.1813i 0.896858i −0.893818 0.448429i \(-0.851984\pi\)
0.893818 0.448429i \(-0.148016\pi\)
\(368\) −3.86460 + 2.83987i −0.201456 + 0.148038i
\(369\) 0.142754 3.41674i 0.00743146 0.177869i
\(370\) 20.5041 13.1772i 1.06596 0.685049i
\(371\) −3.51770 0.505769i −0.182630 0.0262582i
\(372\) −12.1555 5.86094i −0.630233 0.303875i
\(373\) −3.31040 11.2742i −0.171406 0.583756i −0.999724 0.0234971i \(-0.992520\pi\)
0.828318 0.560259i \(-0.189298\pi\)
\(374\) 1.01640 0.464176i 0.0525570 0.0240020i
\(375\) −4.68127 + 3.88824i −0.241740 + 0.200788i
\(376\) −1.18562 8.24616i −0.0611436 0.425263i
\(377\) −3.82662 + 13.0323i −0.197081 + 0.671197i
\(378\) 14.8279 + 14.5702i 0.762663 + 0.749409i
\(379\) 4.97611 7.74298i 0.255606 0.397730i −0.689608 0.724183i \(-0.742217\pi\)
0.945214 + 0.326453i \(0.105853\pi\)
\(380\) 7.81399 12.1588i 0.400849 0.623734i
\(381\) 13.4656 + 12.1693i 0.689861 + 0.623454i
\(382\) 2.20996 7.52642i 0.113071 0.385085i
\(383\) 2.55660 + 17.7815i 0.130636 + 0.908594i 0.944727 + 0.327857i \(0.106326\pi\)
−0.814091 + 0.580737i \(0.802764\pi\)
\(384\) −1.10668 1.33239i −0.0564749 0.0679933i
\(385\) 35.8822 16.3868i 1.82872 0.835150i
\(386\) −1.27902 4.35595i −0.0651006 0.221712i
\(387\) −1.18874 0.604073i −0.0604272 0.0307068i
\(388\) −6.61299 0.950804i −0.335724 0.0482698i
\(389\) −13.0570 + 8.39122i −0.662016 + 0.425452i −0.828039 0.560670i \(-0.810544\pi\)
0.166023 + 0.986122i \(0.446907\pi\)
\(390\) −10.3402 0.215915i −0.523595 0.0109333i
\(391\) −1.51697 + 0.550525i −0.0767166 + 0.0278412i
\(392\) 9.00576i 0.454860i
\(393\) −14.4165 + 8.84520i −0.727217 + 0.446181i
\(394\) −0.780327 + 5.42729i −0.0393123 + 0.273423i
\(395\) 42.2728 + 19.3053i 2.12698 + 0.971357i
\(396\) 9.66719 2.40514i 0.485795 0.120863i
\(397\) 2.27392 + 4.97920i 0.114125 + 0.249899i 0.958072 0.286528i \(-0.0925011\pi\)
−0.843947 + 0.536427i \(0.819774\pi\)
\(398\) −6.12014 7.06301i −0.306775 0.354037i
\(399\) 33.4790 4.10216i 1.67605 0.205365i
\(400\) −3.66214 1.07530i −0.183107 0.0537651i
\(401\) 1.43577 1.65697i 0.0716992 0.0827452i −0.718767 0.695251i \(-0.755293\pi\)
0.790466 + 0.612506i \(0.209839\pi\)
\(402\) −12.4636 + 18.5313i −0.621627 + 0.924259i
\(403\) 13.1806 + 8.47068i 0.656575 + 0.421955i
\(404\) 0.435665 + 0.377506i 0.0216752 + 0.0187816i
\(405\) 24.9238 + 9.64157i 1.23847 + 0.479094i
\(406\) −26.7464 + 3.84556i −1.32740 + 0.190852i
\(407\) 20.5996 17.8496i 1.02108 0.884773i
\(408\) −0.230995 0.535098i −0.0114360 0.0264913i
\(409\) −3.48616 + 1.02363i −0.172380 + 0.0506152i −0.366783 0.930306i \(-0.619541\pi\)
0.194404 + 0.980922i \(0.437723\pi\)
\(410\) −1.40607 + 3.07886i −0.0694407 + 0.152054i
\(411\) −15.9494 2.63413i −0.786727 0.129932i
\(412\) 3.74407 + 5.82588i 0.184457 + 0.287020i
\(413\) −17.9034 −0.880971
\(414\) −14.1954 + 2.34293i −0.697668 + 0.115149i
\(415\) −18.2915 −0.897895
\(416\) 1.08722 + 1.69174i 0.0533052 + 0.0829446i
\(417\) 34.2873 + 5.66272i 1.67905 + 0.277305i
\(418\) 6.71448 14.7027i 0.328416 0.719131i
\(419\) 20.3765 5.98307i 0.995456 0.292292i 0.256866 0.966447i \(-0.417310\pi\)
0.738590 + 0.674155i \(0.235492\pi\)
\(420\) −8.15483 18.8906i −0.397915 0.921767i
\(421\) 28.7303 24.8950i 1.40023 1.21331i 0.453508 0.891252i \(-0.350172\pi\)
0.946721 0.322054i \(-0.104373\pi\)
\(422\) 1.30981 0.188323i 0.0637607 0.00916741i
\(423\) 8.03621 23.6656i 0.390734 1.15066i
\(424\) 0.671339 + 0.581719i 0.0326031 + 0.0282508i
\(425\) −1.08044 0.694356i −0.0524090 0.0336812i
\(426\) 12.1404 18.0508i 0.588203 0.874564i
\(427\) −19.5105 + 22.5163i −0.944178 + 1.08964i
\(428\) 1.10057 + 0.323157i 0.0531981 + 0.0156204i
\(429\) −11.4803 + 1.40667i −0.554274 + 0.0679147i
\(430\) 0.864270 + 0.997421i 0.0416788 + 0.0480999i
\(431\) −13.9684 30.5865i −0.672833 1.47330i −0.870063 0.492941i \(-0.835922\pi\)
0.197230 0.980357i \(-0.436805\pi\)
\(432\) −1.14898 5.06753i −0.0552805 0.243812i
\(433\) 28.2901 + 12.9196i 1.35953 + 0.620878i 0.955805 0.294000i \(-0.0949867\pi\)
0.403729 + 0.914879i \(0.367714\pi\)
\(434\) −4.43599 + 30.8530i −0.212934 + 1.48099i
\(435\) −29.6079 + 18.1658i −1.41959 + 0.870984i
\(436\) 10.8694i 0.520550i
\(437\) −11.3688 + 20.3884i −0.543845 + 0.975311i
\(438\) −19.0112 0.396976i −0.908389 0.0189682i
\(439\) −18.2095 + 11.7025i −0.869093 + 0.558532i −0.897475 0.441065i \(-0.854601\pi\)
0.0283821 + 0.999597i \(0.490964\pi\)
\(440\) −9.75959 1.40322i −0.465270 0.0668957i
\(441\) 12.2395 24.0858i 0.582833 1.14695i
\(442\) 0.190645 + 0.649276i 0.00906804 + 0.0308829i
\(443\) −23.3040 + 10.6426i −1.10721 + 0.505645i −0.883225 0.468949i \(-0.844633\pi\)
−0.223982 + 0.974593i \(0.571906\pi\)
\(444\) −9.08407 10.9368i −0.431111 0.519039i
\(445\) −4.84785 33.7175i −0.229810 1.59836i
\(446\) −1.47808 + 5.03387i −0.0699891 + 0.238361i
\(447\) 1.86902 + 1.68910i 0.0884014 + 0.0798917i
\(448\) −2.16295 + 3.36562i −0.102190 + 0.159011i
\(449\) 6.30751 9.81467i 0.297670 0.463183i −0.659913 0.751342i \(-0.729407\pi\)
0.957583 + 0.288159i \(0.0930432\pi\)
\(450\) −8.33296 7.85301i −0.392819 0.370194i
\(451\) −1.06642 + 3.63189i −0.0502157 + 0.171019i
\(452\) 0.636855 + 4.42942i 0.0299551 + 0.208343i
\(453\) −3.81673 + 3.17016i −0.179326 + 0.148947i
\(454\) −0.336134 + 0.153507i −0.0157756 + 0.00720446i
\(455\) 6.73034 + 22.9214i 0.315523 + 1.07457i
\(456\) −7.59417 3.66163i −0.355630 0.171472i
\(457\) −10.3483 1.48786i −0.484074 0.0695993i −0.104042 0.994573i \(-0.533178\pi\)
−0.380031 + 0.924974i \(0.624087\pi\)
\(458\) 20.4881 13.1669i 0.957347 0.615250i
\(459\) 0.109444 1.74506i 0.00510840 0.0814523i
\(460\) 13.8874 + 3.15028i 0.647505 + 0.146883i
\(461\) 22.6459i 1.05472i −0.849641 0.527362i \(-0.823181\pi\)
0.849641 0.527362i \(-0.176819\pi\)
\(462\) −12.0334 19.6129i −0.559844 0.912472i
\(463\) 5.52918 38.4563i 0.256963 1.78721i −0.297210 0.954812i \(-0.596056\pi\)
0.554173 0.832402i \(-0.313035\pi\)
\(464\) 6.14380 + 2.80578i 0.285219 + 0.130255i
\(465\) 10.4839 + 38.6740i 0.486177 + 1.79346i
\(466\) 0.724857 + 1.58721i 0.0335783 + 0.0735263i
\(467\) 2.32240 + 2.68019i 0.107468 + 0.124025i 0.806935 0.590640i \(-0.201125\pi\)
−0.699467 + 0.714665i \(0.746579\pi\)
\(468\) 0.608551 + 6.00217i 0.0281303 + 0.277450i
\(469\) 49.4950 + 14.5330i 2.28547 + 0.671074i
\(470\) −16.1994 + 18.6951i −0.747221 + 0.862339i
\(471\) −6.37779 4.28950i −0.293873 0.197650i
\(472\) 3.76466 + 2.41940i 0.173282 + 0.111362i
\(473\) 1.11544 + 0.966531i 0.0512878 + 0.0444411i
\(474\) 8.17863 25.8451i 0.375657 1.18710i
\(475\) −18.3891 + 2.64395i −0.843749 + 0.121313i
\(476\) −1.01741 + 0.881591i −0.0466329 + 0.0404077i
\(477\) 1.00489 + 2.46820i 0.0460109 + 0.113011i
\(478\) 23.6755 6.95175i 1.08289 0.317966i
\(479\) 11.7548 25.7394i 0.537090 1.17606i −0.425465 0.904975i \(-0.639889\pi\)
0.962555 0.271088i \(-0.0873833\pi\)
\(480\) −0.838038 + 5.07424i −0.0382510 + 0.231606i
\(481\) 8.92434 + 13.8865i 0.406915 + 0.633172i
\(482\) 2.34501 0.106812
\(483\) 15.0520 + 29.6283i 0.684892 + 1.34813i
\(484\) −0.0265826 −0.00120830
\(485\) 10.7252 + 16.6887i 0.487005 + 0.757794i
\(486\) 3.81420 15.1146i 0.173015 0.685613i
\(487\) −1.56441 + 3.42558i −0.0708903 + 0.155228i −0.941760 0.336286i \(-0.890829\pi\)
0.870870 + 0.491514i \(0.163556\pi\)
\(488\) 7.14533 2.09806i 0.323454 0.0949746i
\(489\) 3.48999 1.50658i 0.157823 0.0681300i
\(490\) −20.2094 + 17.5115i −0.912966 + 0.791089i
\(491\) 37.1255 5.33784i 1.67545 0.240893i 0.761922 0.647668i \(-0.224256\pi\)
0.913528 + 0.406775i \(0.133347\pi\)
\(492\) 1.88238 + 0.595674i 0.0848641 + 0.0268551i
\(493\) 1.71763 + 1.48833i 0.0773580 + 0.0670311i
\(494\) 8.23464 + 5.29208i 0.370494 + 0.238102i
\(495\) −24.1949 17.0169i −1.08748 0.764853i
\(496\) 5.10212 5.88816i 0.229092 0.264386i
\(497\) −48.2115 14.1562i −2.16258 0.634992i
\(498\) 1.29766 + 10.5906i 0.0581494 + 0.474576i
\(499\) −16.0723 18.5485i −0.719496 0.830343i 0.271750 0.962368i \(-0.412398\pi\)
−0.991246 + 0.132025i \(0.957852\pi\)
\(500\) −1.45953 3.19593i −0.0652724 0.142927i
\(501\) 21.3524 5.78827i 0.953954 0.258601i
\(502\) 9.19348 + 4.19852i 0.410325 + 0.187389i
\(503\) −3.03450 + 21.1054i −0.135302 + 0.941045i 0.803185 + 0.595730i \(0.203137\pi\)
−0.938487 + 0.345315i \(0.887772\pi\)
\(504\) −10.3589 + 6.06172i −0.461423 + 0.270010i
\(505\) 1.71171i 0.0761699i
\(506\) 15.8739 + 1.27693i 0.705681 + 0.0567666i
\(507\) −0.323842 + 15.5088i −0.0143823 + 0.688770i
\(508\) −8.81530 + 5.66525i −0.391116 + 0.251355i
\(509\) −42.4766 6.10722i −1.88274 0.270698i −0.897393 0.441233i \(-0.854541\pi\)
−0.985352 + 0.170535i \(0.945450\pi\)
\(510\) −0.751621 + 1.55885i −0.0332824 + 0.0690271i
\(511\) 12.3742 + 42.1427i 0.547403 + 1.86429i
\(512\) 0.909632 0.415415i 0.0402004 0.0183589i
\(513\) −15.3341 20.1141i −0.677018 0.888058i
\(514\) 0.234256 + 1.62928i 0.0103326 + 0.0718646i
\(515\) 5.79330 19.7302i 0.255283 0.869415i
\(516\) 0.516182 0.571163i 0.0227236 0.0251441i
\(517\) −14.9563 + 23.2724i −0.657777 + 1.02352i
\(518\) −17.7544 + 27.6264i −0.780084 + 1.21383i
\(519\) 19.8616 21.9772i 0.871828 0.964691i
\(520\) 1.68228 5.72933i 0.0737729 0.251248i
\(521\) 2.73795 + 19.0428i 0.119952 + 0.834282i 0.957606 + 0.288081i \(0.0930173\pi\)
−0.837654 + 0.546201i \(0.816074\pi\)
\(522\) 12.6183 + 15.8539i 0.552287 + 0.693907i
\(523\) 16.0627 7.33557i 0.702371 0.320762i −0.0320215 0.999487i \(-0.510194\pi\)
0.734392 + 0.678725i \(0.237467\pi\)
\(524\) −2.75116 9.36957i −0.120185 0.409312i
\(525\) −11.4867 + 23.8233i −0.501322 + 1.03973i
\(526\) −4.80768 0.691240i −0.209625 0.0301395i
\(527\) 2.20551 1.41739i 0.0960735 0.0617427i
\(528\) −0.120072 + 5.75025i −0.00522546 + 0.250247i
\(529\) −22.7042 3.67655i −0.987141 0.159850i
\(530\) 2.63766i 0.114572i
\(531\) 6.78041 + 11.5871i 0.294245 + 0.502838i
\(532\) −2.77139 + 19.2755i −0.120155 + 0.835698i
\(533\) −2.08518 0.952269i −0.0903191 0.0412474i
\(534\) −19.1782 + 5.19888i −0.829920 + 0.224977i
\(535\) −1.41486 3.09811i −0.0611696 0.133943i
\(536\) −8.44365 9.74450i −0.364710 0.420898i
\(537\) −3.55120 28.9825i −0.153246 1.25069i
\(538\) −9.34868 2.74502i −0.403050 0.118346i
\(539\) −19.5835 + 22.6005i −0.843520 + 0.973474i
\(540\) −9.13760 + 12.4321i −0.393220 + 0.534991i
\(541\) −36.5312 23.4772i −1.57060 1.00936i −0.979179 0.202999i \(-0.934931\pi\)
−0.591420 0.806363i \(-0.701433\pi\)
\(542\) 11.6699 + 10.1120i 0.501265 + 0.434348i
\(543\) −37.3474 11.8185i −1.60273 0.507180i
\(544\) 0.333071 0.0478884i 0.0142803 0.00205320i
\(545\) −24.3915 + 21.1353i −1.04482 + 0.905338i
\(546\) 12.7938 5.52291i 0.547524 0.236359i
\(547\) −35.4346 + 10.4045i −1.51507 + 0.444866i −0.930444 0.366434i \(-0.880578\pi\)
−0.584630 + 0.811300i \(0.698760\pi\)
\(548\) 3.87713 8.48973i 0.165623 0.362663i
\(549\) 21.9616 + 4.09979i 0.937296 + 0.174975i
\(550\) 6.85208 + 10.6620i 0.292174 + 0.454631i
\(551\) 32.8762 1.40057
\(552\) 0.838763 8.26417i 0.0357001 0.351746i
\(553\) −62.6151 −2.66267
\(554\) −1.06344 1.65474i −0.0451812 0.0703033i
\(555\) −6.87897 + 41.6515i −0.291996 + 1.76801i
\(556\) −8.33485 + 18.2508i −0.353477 + 0.774006i
\(557\) −18.1238 + 5.32163i −0.767931 + 0.225485i −0.642156 0.766574i \(-0.721960\pi\)
−0.125775 + 0.992059i \(0.540142\pi\)
\(558\) 21.6481 8.81369i 0.916435 0.373113i
\(559\) −0.675510 + 0.585333i −0.0285710 + 0.0247569i
\(560\) 11.7584 1.69061i 0.496884 0.0714412i
\(561\) −0.583901 + 1.84517i −0.0246523 + 0.0779033i
\(562\) 5.21356 + 4.51758i 0.219921 + 0.190562i
\(563\) −23.9202 15.3726i −1.00812 0.647878i −0.0712125 0.997461i \(-0.522687\pi\)
−0.936905 + 0.349583i \(0.886323\pi\)
\(564\) 11.9735 + 8.05297i 0.504174 + 0.339091i
\(565\) 8.70148 10.0420i 0.366074 0.422472i
\(566\) −10.7699 3.16232i −0.452692 0.132922i
\(567\) −35.9432 + 2.13347i −1.50947 + 0.0895972i
\(568\) 8.22470 + 9.49181i 0.345101 + 0.398267i
\(569\) 13.9582 + 30.5643i 0.585160 + 1.28132i 0.938323 + 0.345760i \(0.112379\pi\)
−0.353163 + 0.935562i \(0.614894\pi\)
\(570\) 6.54982 + 24.1617i 0.274342 + 1.01202i
\(571\) 4.45035 + 2.03241i 0.186241 + 0.0850536i 0.506353 0.862326i \(-0.330993\pi\)
−0.320112 + 0.947380i \(0.603720\pi\)
\(572\) 0.950338 6.60975i 0.0397356 0.276367i
\(573\) 7.10519 + 11.5805i 0.296824 + 0.483784i
\(574\) 4.56045i 0.190350i
\(575\) −8.62956 16.1426i −0.359878 0.673194i
\(576\) 2.99738 + 0.125233i 0.124891 + 0.00521802i
\(577\) 23.8380 15.3197i 0.992387 0.637769i 0.0596101 0.998222i \(-0.481014\pi\)
0.932777 + 0.360453i \(0.117378\pi\)
\(578\) −16.7149 2.40324i −0.695248 0.0999615i
\(579\) 7.08291 + 3.41512i 0.294356 + 0.141928i
\(580\) −5.65018 19.2427i −0.234611 0.799011i
\(581\) 22.4181 10.2380i 0.930061 0.424744i
\(582\) 8.90169 7.39370i 0.368987 0.306479i
\(583\) −0.419793 2.91972i −0.0173860 0.120922i
\(584\) 3.09300 10.5338i 0.127989 0.435891i
\(585\) 12.2858 13.0367i 0.507957 0.539001i
\(586\) 6.20464 9.65460i 0.256311 0.398828i
\(587\) 3.26296 5.07727i 0.134677 0.209561i −0.767364 0.641211i \(-0.778432\pi\)
0.902041 + 0.431650i \(0.142068\pi\)
\(588\) 11.5727 + 10.4587i 0.477250 + 0.431309i
\(589\) 10.6844 36.3876i 0.440242 1.49933i
\(590\) −1.89105 13.1525i −0.0778533 0.541481i
\(591\) −6.06803 7.30563i −0.249605 0.300514i
\(592\) 7.46664 3.40990i 0.306877 0.140146i
\(593\) −0.946543 3.22363i −0.0388699 0.132379i 0.937772 0.347251i \(-0.112885\pi\)
−0.976642 + 0.214872i \(0.931067\pi\)
\(594\) −8.13614 + 15.2158i −0.333830 + 0.624312i
\(595\) 3.95666 + 0.568882i 0.162207 + 0.0233219i
\(596\) −1.22356 + 0.786335i −0.0501190 + 0.0322095i
\(597\) 16.1837 + 0.337935i 0.662355 + 0.0138308i
\(598\) −2.13355 + 9.40536i −0.0872474 + 0.384614i
\(599\) 25.0545i 1.02370i −0.859075 0.511849i \(-0.828961\pi\)
0.859075 0.511849i \(-0.171039\pi\)
\(600\) 5.63476 3.45719i 0.230038 0.141139i
\(601\) −5.44515 + 37.8719i −0.222112 + 1.54483i 0.507915 + 0.861407i \(0.330417\pi\)
−0.730027 + 0.683418i \(0.760493\pi\)
\(602\) −1.61752 0.738698i −0.0659253 0.0301071i
\(603\) −9.33901 37.5371i −0.380314 1.52863i
\(604\) −1.18999 2.60571i −0.0484199 0.106025i
\(605\) 0.0516893 + 0.0596526i 0.00210147 + 0.00242522i
\(606\) −0.991060 + 0.121434i −0.0402591 + 0.00493291i
\(607\) 1.78539 + 0.524237i 0.0724666 + 0.0212781i 0.317765 0.948170i \(-0.397068\pi\)
−0.245298 + 0.969448i \(0.578886\pi\)
\(608\) 3.18756 3.67865i 0.129273 0.149189i
\(609\) 26.1198 38.8360i 1.05843 1.57371i
\(610\) −18.6021 11.9548i −0.753176 0.484037i
\(611\) −12.6614 10.9711i −0.512224 0.443844i
\(612\) 0.955880 + 0.324591i 0.0386392 + 0.0131208i
\(613\) 28.6602 4.12071i 1.15757 0.166434i 0.463338 0.886182i \(-0.346652\pi\)
0.694236 + 0.719748i \(0.255742\pi\)
\(614\) 5.89953 5.11197i 0.238086 0.206302i
\(615\) −2.32352 5.38242i −0.0936934 0.217040i
\(616\) 12.7468 3.74279i 0.513582 0.150801i
\(617\) −14.9187 + 32.6675i −0.600606 + 1.31514i 0.328212 + 0.944604i \(0.393554\pi\)
−0.928817 + 0.370538i \(0.879173\pi\)
\(618\) −11.8345 1.95454i −0.476055 0.0786231i
\(619\) 4.15672 + 6.46799i 0.167073 + 0.259970i 0.914687 0.404163i \(-0.132437\pi\)
−0.747614 + 0.664133i \(0.768801\pi\)
\(620\) −23.1343 −0.929095
\(621\) 13.4749 20.9625i 0.540729 0.841197i
\(622\) 28.3360 1.13617
\(623\) 24.8137 + 38.6109i 0.994140 + 1.54691i
\(624\) −3.43657 0.567567i −0.137573 0.0227209i
\(625\) −12.2615 + 26.8489i −0.490459 + 1.07395i
\(626\) 12.7626 3.74744i 0.510096 0.149778i
\(627\) 11.0957 + 25.7030i 0.443118 + 1.02648i
\(628\) 3.35369 2.90599i 0.133827 0.115962i
\(629\) 2.73399 0.393088i 0.109011 0.0156734i
\(630\) 33.7455 + 11.4591i 1.34445 + 0.456540i
\(631\) −15.4012 13.3452i −0.613113 0.531266i 0.292010 0.956415i \(-0.405676\pi\)
−0.905123 + 0.425150i \(0.860221\pi\)
\(632\) 13.1664 + 8.46155i 0.523733 + 0.336583i
\(633\) −1.27913 + 1.90186i −0.0508408 + 0.0755920i
\(634\) −3.88830 + 4.48734i −0.154424 + 0.178215i
\(635\) 29.8543 + 8.76600i 1.18473 + 0.347868i
\(636\) −1.52717 + 0.187124i −0.0605564 + 0.00741993i
\(637\) −11.8598 13.6869i −0.469902 0.542296i
\(638\) −9.31695 20.4013i −0.368862 0.807694i
\(639\) 9.09683 + 36.5638i 0.359865 + 1.44644i
\(640\) −2.70097 1.23349i −0.106765 0.0487581i
\(641\) 4.08684 28.4246i 0.161421 1.12270i −0.734538 0.678567i \(-0.762601\pi\)
0.895959 0.444137i \(-0.146490\pi\)
\(642\) −1.69340 + 1.03898i −0.0668330 + 0.0410051i
\(643\) 12.9601i 0.511097i −0.966796 0.255548i \(-0.917744\pi\)
0.966796 0.255548i \(-0.0822560\pi\)
\(644\) −18.7837 + 3.91200i −0.740183 + 0.154154i
\(645\) −2.28542 0.0477223i −0.0899884 0.00187907i
\(646\) 1.37790 0.885521i 0.0542127 0.0348404i
\(647\) −41.5048 5.96749i −1.63172 0.234606i −0.735279 0.677764i \(-0.762949\pi\)
−0.896443 + 0.443158i \(0.853858\pi\)
\(648\) 7.84629 + 4.40860i 0.308231 + 0.173186i
\(649\) −4.18655 14.2581i −0.164336 0.559678i
\(650\) −6.98179 + 3.18848i −0.273848 + 0.125062i
\(651\) −34.4954 41.5309i −1.35198 1.62773i
\(652\) 0.312335 + 2.17234i 0.0122320 + 0.0850752i
\(653\) 8.75808 29.8273i 0.342730 1.16723i −0.590225 0.807239i \(-0.700961\pi\)
0.932955 0.359993i \(-0.117221\pi\)
\(654\) 13.9675 + 12.6230i 0.546174 + 0.493598i
\(655\) −15.6762 + 24.3927i −0.612520 + 0.953100i
\(656\) −0.616281 + 0.958952i −0.0240617 + 0.0374408i
\(657\) 22.5884 23.9689i 0.881258 0.935117i
\(658\) 9.39009 31.9797i 0.366064 1.24670i
\(659\) 1.41394 + 9.83414i 0.0550791 + 0.383084i 0.998651 + 0.0519171i \(0.0165332\pi\)
−0.943572 + 0.331167i \(0.892558\pi\)
\(660\) 13.1373 10.9118i 0.511369 0.424741i
\(661\) 3.03210 1.38472i 0.117935 0.0538592i −0.355574 0.934648i \(-0.615714\pi\)
0.473509 + 0.880789i \(0.342987\pi\)
\(662\) 2.04488 + 6.96421i 0.0794764 + 0.270672i
\(663\) −1.05574 0.509041i −0.0410016 0.0197695i
\(664\) −6.09751 0.876689i −0.236629 0.0340221i
\(665\) 48.6440 31.2616i 1.88633 1.21227i
\(666\) 24.6038 + 1.02796i 0.953377 + 0.0398327i
\(667\) 11.0501 + 30.4487i 0.427863 + 1.17898i
\(668\) 12.7727i 0.494192i
\(669\) −4.75215 7.74538i −0.183729 0.299454i
\(670\) −5.44861 + 37.8959i −0.210498 + 1.46405i
\(671\) −22.4940 10.2727i −0.868371 0.396572i
\(672\) −1.81302 6.68807i −0.0699389 0.257998i
\(673\) 1.47408 + 3.22779i 0.0568217 + 0.124422i 0.935913 0.352231i \(-0.114577\pi\)
−0.879091 + 0.476653i \(0.841850\pi\)
\(674\) 2.10661 + 2.43115i 0.0811434 + 0.0936445i
\(675\) 19.7687 1.58817i 0.760898 0.0611285i
\(676\) −8.59318 2.52319i −0.330507 0.0970456i
\(677\) −6.25498 + 7.21864i −0.240399 + 0.277435i −0.863109 0.505018i \(-0.831486\pi\)
0.622710 + 0.782452i \(0.286031\pi\)
\(678\) −6.43155 4.32565i −0.247002 0.166126i
\(679\) −22.4857 14.4507i −0.862921 0.554566i
\(680\) −0.755113 0.654309i −0.0289573 0.0250916i
\(681\) 0.193102 0.610216i 0.00739967 0.0233835i
\(682\) −25.6082 + 3.68191i −0.980589 + 0.140987i
\(683\) 26.7419 23.1720i 1.02325 0.886651i 0.0296448 0.999560i \(-0.490562\pi\)
0.993605 + 0.112909i \(0.0360169\pi\)
\(684\) 13.5247 5.50638i 0.517129 0.210542i
\(685\) −26.5904 + 7.80763i −1.01597 + 0.298314i
\(686\) 3.33349 7.29933i 0.127273 0.278690i
\(687\) −6.87361 + 41.6191i −0.262245 + 1.58787i
\(688\) 0.240301 + 0.373915i 0.00916138 + 0.0142554i
\(689\) 1.78637 0.0680553
\(690\) −20.1761 + 14.1873i −0.768093 + 0.540100i
\(691\) −16.2491 −0.618147 −0.309073 0.951038i \(-0.600019\pi\)
−0.309073 + 0.951038i \(0.600019\pi\)
\(692\) 9.24628 + 14.3875i 0.351491 + 0.546930i
\(693\) 39.1779 + 7.31374i 1.48825 + 0.277826i
\(694\) −5.27919 + 11.5598i −0.200395 + 0.438805i
\(695\) 57.1626 16.7844i 2.16830 0.636670i
\(696\) −10.7405 + 4.63653i −0.407118 + 0.175747i
\(697\) −0.289886 + 0.251188i −0.0109802 + 0.00951442i
\(698\) 19.6675 2.82775i 0.744424 0.107032i
\(699\) −2.88142 0.911820i −0.108985 0.0344882i
\(700\) −11.5401 9.99955i −0.436175 0.377947i
\(701\) 25.1960 + 16.1925i 0.951641 + 0.611583i 0.921673 0.387968i \(-0.126823\pi\)
0.0299686 + 0.999551i \(0.490459\pi\)
\(702\) −8.41971 6.18850i −0.317781 0.233570i
\(703\) 26.1649 30.1959i 0.986826 1.13886i
\(704\) −3.18612 0.935530i −0.120081 0.0352591i
\(705\) −5.21091 42.5279i −0.196254 1.60169i
\(706\) 17.6337 + 20.3504i 0.663652 + 0.765896i
\(707\) 0.958066 + 2.09787i 0.0360318 + 0.0788986i
\(708\) −7.48102 + 2.02798i −0.281154 + 0.0762161i
\(709\) −23.8693 10.9007i −0.896429 0.409385i −0.0867306 0.996232i \(-0.527642\pi\)
−0.809698 + 0.586846i \(0.800369\pi\)
\(710\) 5.30732 36.9132i 0.199180 1.38533i
\(711\) 23.7137 + 40.5245i 0.889332 + 1.51979i
\(712\) 11.4721i 0.429937i
\(713\) 37.2921 2.33493i 1.39660 0.0874436i
\(714\) 0.0486788 2.33122i 0.00182176 0.0872439i
\(715\) −16.6805 + 10.7199i −0.623815 + 0.400902i
\(716\) 16.6866 + 2.39917i 0.623607 + 0.0896611i
\(717\) −18.5619 + 38.4971i −0.693207 + 1.43770i
\(718\) 0.875389 + 2.98130i 0.0326692 + 0.111261i
\(719\) −22.9762 + 10.4929i −0.856868 + 0.391319i −0.794886 0.606759i \(-0.792469\pi\)
−0.0619820 + 0.998077i \(0.519742\pi\)
\(720\) −5.54732 6.96979i −0.206736 0.259749i
\(721\) 3.94297 + 27.4239i 0.146844 + 1.02132i
\(722\) 1.32217 4.50290i 0.0492061 0.167581i
\(723\) −2.72333 + 3.01341i −0.101282 + 0.112070i
\(724\) 12.2273 19.0261i 0.454425 0.707100i
\(725\) −13.9371 + 21.6866i −0.517612 + 0.805420i
\(726\) 0.0308712 0.0341595i 0.00114574 0.00126778i
\(727\) 3.47428 11.8323i 0.128854 0.438836i −0.869641 0.493685i \(-0.835650\pi\)
0.998495 + 0.0548492i \(0.0174678\pi\)
\(728\) 1.14497 + 7.96348i 0.0424356 + 0.295146i
\(729\) 14.9932 + 22.4545i 0.555305 + 0.831647i
\(730\) −29.6526 + 13.5419i −1.09749 + 0.501208i
\(731\) 0.0421370 + 0.143505i 0.00155849 + 0.00530774i
\(732\) −5.60203 + 11.6185i −0.207057 + 0.429433i
\(733\) 5.86820 + 0.843720i 0.216747 + 0.0311635i 0.249833 0.968289i \(-0.419624\pi\)
−0.0330858 + 0.999453i \(0.510533\pi\)
\(734\) −14.4539 + 9.28893i −0.533502 + 0.342861i
\(735\) 0.966932 46.3063i 0.0356658 1.70804i
\(736\) 4.47841 + 1.71576i 0.165076 + 0.0632438i
\(737\) 42.8156i 1.57713i
\(738\) −2.95153 + 1.72714i −0.108647 + 0.0635769i
\(739\) −5.65645 + 39.3415i −0.208076 + 1.44720i 0.571351 + 0.820706i \(0.306420\pi\)
−0.779427 + 0.626494i \(0.784489\pi\)
\(740\) −22.1707 10.1250i −0.815011 0.372203i
\(741\) −16.3636 + 4.43591i −0.601134 + 0.162957i
\(742\) 1.47633 + 3.23272i 0.0541979 + 0.118677i
\(743\) 3.48982 + 4.02746i 0.128029 + 0.147753i 0.816145 0.577848i \(-0.196107\pi\)
−0.688116 + 0.725601i \(0.741562\pi\)
\(744\) 1.64122 + 13.3945i 0.0601700 + 0.491066i
\(745\) 4.14376 + 1.21672i 0.151816 + 0.0445771i
\(746\) −7.69472 + 8.88018i −0.281724 + 0.325126i
\(747\) −15.1163 10.6317i −0.553075 0.388992i
\(748\) −0.939999 0.604101i −0.0343698 0.0220881i
\(749\) 3.46811 + 3.00513i 0.126722 + 0.109805i
\(750\) 5.80188 + 1.83599i 0.211855 + 0.0670410i
\(751\) 8.36986 1.20340i 0.305421 0.0439128i 0.0120994 0.999927i \(-0.496149\pi\)
0.293321 + 0.956014i \(0.405239\pi\)
\(752\) −6.29611 + 5.45561i −0.229596 + 0.198946i
\(753\) −16.0719 + 6.93804i −0.585693 + 0.252836i
\(754\) 13.0323 3.82662i 0.474608 0.139357i
\(755\) −3.53343 + 7.73713i −0.128595 + 0.281583i
\(756\) 4.24066 20.3512i 0.154231 0.740167i
\(757\) 13.9286 + 21.6733i 0.506242 + 0.787729i 0.996477 0.0838617i \(-0.0267254\pi\)
−0.490235 + 0.871590i \(0.663089\pi\)
\(758\) −9.20410 −0.334308
\(759\) −20.0758 + 18.9155i −0.728705 + 0.686590i
\(760\) −14.4532 −0.524273
\(761\) −22.6031 35.1712i −0.819363 1.27495i −0.958618 0.284697i \(-0.908107\pi\)
0.139255 0.990257i \(-0.455529\pi\)
\(762\) 2.95747 17.9072i 0.107138 0.648709i
\(763\) 18.0645 39.5558i 0.653979 1.43202i
\(764\) −7.52642 + 2.20996i −0.272296 + 0.0799534i
\(765\) −1.13029 2.77620i −0.0408657 0.100374i
\(766\) 13.5766 11.7642i 0.490542 0.425057i
\(767\) 8.90765 1.28073i 0.321636 0.0462443i
\(768\) −0.522563 + 1.65134i −0.0188564 + 0.0595876i
\(769\) 16.0631 + 13.9187i 0.579249 + 0.501922i 0.894489 0.447090i \(-0.147540\pi\)
−0.315240 + 0.949012i \(0.602085\pi\)
\(770\) −33.1848 21.3266i −1.19590 0.768557i
\(771\) −2.36573 1.59111i −0.0851997 0.0573026i
\(772\) −2.97297 + 3.43099i −0.106999