Properties

Label 138.2.f.a.113.4
Level $138$
Weight $2$
Character 138.113
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 113.4
Character \(\chi\) \(=\) 138.113
Dual form 138.2.f.a.11.4

$q$-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 \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(97\)
\(\chi(n)\) \(-1\) \(e\left(\frac{13}{22}\right)\)

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 0.847733 0.530424i \(-0.177967\pi\)
0.426389 + 0.904540i \(0.359785\pi\)
\(6\) −0.686471 + 1.59021i −0.280251 + 0.649199i
\(7\) −3.02354 2.61991i −1.14279 0.990235i −1.00000 0.000481787i \(-0.999847\pi\)
−0.142792 0.989753i \(-0.545608\pi\)
\(8\) 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 −0.889155 0.457607i \(-0.848707\pi\)
0.0468854 + 0.998900i \(0.485070\pi\)
\(12\) −0.966633 1.43723i −0.279043 0.414892i
\(13\) 1.31691 + 1.51980i 0.365246 + 0.421516i 0.908390 0.418123i \(-0.137312\pi\)
−0.543145 + 0.839639i \(0.682767\pi\)
\(14\) 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 −0.925826 0.377950i \(-0.876629\pi\)
0.891923 + 0.452188i \(0.149356\pi\)
\(18\) −0.724301 + 2.91125i −0.170719 + 0.686189i
\(19\) −4.42768 + 2.02205i −1.01578 + 0.463890i −0.852521 0.522693i \(-0.824927\pi\)
−0.163257 + 0.986584i \(0.552200\pi\)
\(20\) −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 −0.246857 0.969052i \(-0.579398\pi\)
−0.894017 + 0.448032i \(0.852125\pi\)
\(30\) −3.28606 + 3.95627i −0.599949 + 0.722313i
\(31\) 1.10880 7.71186i 0.199146 1.38509i −0.607624 0.794225i \(-0.707877\pi\)
0.806770 0.590865i \(-0.201214\pi\)
\(32\) −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 −0.898263 0.439459i \(-0.855170\pi\)
0.518077 0.855334i \(-0.326648\pi\)
\(38\) 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 −0.980762 0.195208i \(-0.937462\pi\)
0.930607 + 0.366021i \(0.119280\pi\)
\(42\) 6.24178 3.00956i 0.963128 0.464385i
\(43\) −0.439950 + 0.0632552i −0.0670917 + 0.00964633i −0.175779 0.984430i \(-0.556244\pi\)
0.108687 + 0.994076i \(0.465335\pi\)
\(44\) 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 \(0.207866\pi\)
−0.794245 + 0.607597i \(0.792134\pi\)
\(48\) −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 −0.714389 0.699749i \(-0.753295\pi\)
0.794294 + 0.607533i \(0.207841\pi\)
\(54\) −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 −0.406309 0.913736i \(-0.633185\pi\)
0.846611 + 0.532212i \(0.178639\pi\)
\(60\) −1.55165 4.90333i −0.200317 0.633017i
\(61\) 7.37119 + 1.05982i 0.943784 + 0.135696i 0.596993 0.802247i \(-0.296362\pi\)
0.346791 + 0.937942i \(0.387271\pi\)
\(62\) 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 0.0925361 + 0.995709i \(0.470503\pi\)
−0.944170 + 0.329459i \(0.893134\pi\)
\(68\) 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 −0.157998 0.987439i \(-0.550504\pi\)
0.963841 0.266477i \(-0.0858597\pi\)
\(72\) 2.94905 0.550530i 0.347549 0.0648806i
\(73\) 4.56063 + 9.98639i 0.533782 + 1.16882i 0.963953 + 0.266072i \(0.0857257\pi\)
−0.430172 + 0.902747i \(0.641547\pi\)
\(74\) 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 0.354877 0.934913i \(-0.384523\pi\)
0.975901 0.218213i \(-0.0700227\pi\)
\(80\) −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 −0.589533 0.807744i \(-0.700688\pi\)
−0.0592477 + 0.998243i \(0.518870\pi\)
\(84\) −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 0.872370 + 0.488847i \(0.162582\pi\)
−0.699309 + 0.714820i \(0.746509\pi\)
\(90\) −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 −0.807060 0.590469i \(-0.798943\pi\)
0.998174 0.0604046i \(-0.0192391\pi\)
\(98\) −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 0.967178 0.254098i \(-0.0817786\pi\)
−0.951018 + 0.309135i \(0.899960\pi\)
\(102\) −0.390784 0.432408i −0.0386934 0.0428148i
\(103\) 3.74407 + 5.82588i 0.368914 + 0.574041i 0.975233 0.221180i \(-0.0709910\pi\)
−0.606319 + 0.795221i \(0.707355\pi\)
\(104\) 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 −0.996189 0.0872163i \(-0.972203\pi\)
0.980408 + 0.196976i \(0.0631120\pi\)
\(108\) −4.13228 3.15028i −0.397629 0.303136i
\(109\) −9.88716 4.51532i −0.947019 0.432489i −0.118815 0.992916i \(-0.537910\pi\)
−0.828203 + 0.560427i \(0.810637\pi\)
\(110\) 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 0.705600 0.708610i \(-0.250678\pi\)
−0.351458 + 0.936204i \(0.614314\pi\)
\(114\) −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 −0.0875418 0.996161i \(-0.527901\pi\)
0.869774 + 0.493451i \(0.164265\pi\)
\(128\) −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 0.269889 0.962892i \(-0.413013\pi\)
−0.914682 + 0.404175i \(0.867559\pi\)
\(132\) 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 −0.489561 0.871969i \(-0.662843\pi\)
0.589800 + 0.807550i \(0.299207\pi\)
\(150\) −5.48553 + 3.68939i −0.447892 + 0.301237i
\(151\) −1.87590 2.16490i −0.152658 0.176177i 0.674269 0.738486i \(-0.264459\pi\)
−0.826927 + 0.562309i \(0.809913\pi\)
\(152\) −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 −0.569926 0.821696i \(-0.693028\pi\)
0.247774 + 0.968818i \(0.420301\pi\)
\(158\) 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 0.610946 0.791672i \(-0.290789\pi\)
−0.466334 + 0.884609i \(0.654426\pi\)
\(164\) 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 0.810675 0.585497i \(-0.199100\pi\)
0.0883904 + 0.996086i \(0.471828\pi\)
\(168\) −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 0.990689 + 0.136142i \(0.0434705\pi\)
−0.287708 + 0.957718i \(0.592893\pi\)
\(174\) 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 0.567625 + 0.823287i \(0.307862\pi\)
−0.922619 + 0.385712i \(0.873956\pi\)
\(180\) −4.03550 7.94138i −0.300788 0.591915i
\(181\) −22.3862 + 3.21865i −1.66395 + 0.239240i −0.909077 0.416629i \(-0.863211\pi\)
−0.754875 + 0.655869i \(0.772302\pi\)
\(182\) 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 −0.538834 0.842412i \(-0.681135\pi\)
0.910522 + 0.413461i \(0.135680\pi\)
\(192\) 1.71919 + 0.210651i 0.124072 + 0.0152025i
\(193\) 4.35595 1.27902i 0.313548 0.0920661i −0.121172 0.992632i \(-0.538665\pi\)
0.434721 + 0.900565i \(0.356847\pi\)
\(194\) 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 −0.789865 0.613280i \(-0.789850\pi\)
0.494628 + 0.869105i \(0.335304\pi\)
\(198\) −3.20315 9.43287i −0.227638 0.670365i
\(199\) 9.25058 + 1.33003i 0.655756 + 0.0942835i 0.462158 0.886797i \(-0.347075\pi\)
0.193598 + 0.981081i \(0.437984\pi\)
\(200\) 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 0.889766 0.456417i \(-0.150867\pi\)
−0.927610 + 0.373551i \(0.878140\pi\)
\(212\) −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 −0.859032 0.511921i \(-0.828934\pi\)
0.628964 + 0.777435i \(0.283479\pi\)
\(224\) −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 0.991492 0.130166i \(-0.0415509\pi\)
−0.988002 + 0.154443i \(0.950642\pi\)
\(228\) 7.18608 + 4.40899i 0.475910 + 0.291993i
\(229\) 24.3543i 1.60938i −0.593698 0.804688i \(-0.702332\pi\)
0.593698 0.804688i \(-0.297668\pi\)
\(230\) −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 −0.198656 0.980069i \(-0.563658\pi\)
0.0855079 + 0.996337i \(0.472749\pi\)
\(234\) −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 −0.803022 0.595950i \(-0.796776\pi\)
0.353350 0.935491i \(-0.385042\pi\)
\(240\) −3.81565 + 3.44834i −0.246299 + 0.222590i
\(241\) −1.26781 1.97275i −0.0816666 0.127076i 0.798017 0.602634i \(-0.205882\pi\)
−0.879684 + 0.475559i \(0.842246\pi\)
\(242\) 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 0.244068 0.969758i \(-0.421518\pi\)
−0.780734 + 0.624864i \(0.785155\pi\)
\(252\) 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 −0.461566 0.887106i \(-0.652712\pi\)
0.368168 + 0.929759i \(0.379985\pi\)
\(258\) 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 0.845294 0.534302i \(-0.179425\pi\)
−0.649161 + 0.760651i \(0.724880\pi\)
\(264\) −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 0.849787 0.527127i \(-0.176731\pi\)
−0.400824 + 0.916155i \(0.631276\pi\)
\(270\) −5.51837 + 14.4083i −0.335837 + 0.876863i
\(271\) −14.8160 4.35037i −0.900007 0.264266i −0.201178 0.979555i \(-0.564477\pi\)
−0.698829 + 0.715289i \(0.746295\pi\)
\(272\) −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 0.0782730 0.996932i \(-0.475059\pi\)
−0.473135 + 0.880990i \(0.656878\pi\)
\(282\) −13.2479 5.71896i −0.788903 0.340559i
\(283\) 8.48295 + 7.35052i 0.504259 + 0.436943i 0.869473 0.493981i \(-0.164459\pi\)
−0.365214 + 0.930924i \(0.619004\pi\)
\(284\) −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 −0.717737 0.696314i \(-0.754822\pi\)
0.996257 + 0.0864410i \(0.0275494\pi\)
\(294\) −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 −0.933248 0.359233i \(-0.883038\pi\)
0.996652 0.0817554i \(-0.0260526\pi\)
\(308\) −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 −0.935271 0.353933i \(-0.884844\pi\)
0.0665772 0.997781i \(-0.478792\pi\)
\(312\) 2.33542 + 2.58417i 0.132217 + 0.146300i
\(313\) −3.74744 12.7626i −0.211818 0.721385i −0.995025 0.0996245i \(-0.968236\pi\)
0.783207 0.621761i \(-0.213582\pi\)
\(314\) 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 −0.993038 0.117798i \(-0.962416\pi\)
0.899083 + 0.437779i \(0.144235\pi\)
\(318\) 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 −0.467464 0.884012i \(-0.654832\pi\)
0.0846768 + 0.996408i \(0.473014\pi\)
\(332\) 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 0.0550421 0.998484i \(-0.482471\pi\)
−0.228493 + 0.973546i \(0.573380\pi\)
\(338\) 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 −0.975215 0.221258i \(-0.928984\pi\)
0.606383 + 0.795173i \(0.292620\pi\)
\(348\) 1.90625 + 11.5422i 0.102186 + 0.618726i
\(349\) −8.25417 18.0741i −0.441836 0.967486i −0.991258 0.131940i \(-0.957879\pi\)
0.549422 0.835545i \(-0.314848\pi\)
\(350\) 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 −0.610044 0.792368i \(-0.708848\pi\)
−0.808568 + 0.588402i \(0.799757\pi\)
\(354\) 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 −0.359457 0.933161i \(-0.617038\pi\)
0.202110 + 0.979363i \(0.435220\pi\)
\(360\) 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 \(0.148016\pi\)
−0.893818 + 0.448429i \(0.851984\pi\)
\(368\) −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 0.828318 + 0.560259i \(0.189298\pi\)
−0.999724 + 0.0234971i \(0.992520\pi\)
\(374\) 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 0.945214 0.326453i \(-0.105853\pi\)
−0.689608 + 0.724183i \(0.742217\pi\)
\(380\) 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 −0.814091 0.580737i \(-0.802764\pi\)
0.944727 0.327857i \(-0.106326\pi\)
\(384\) −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 0.166023 0.986122i \(-0.446907\pi\)
−0.828039 + 0.560670i \(0.810544\pi\)
\(390\) −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 −0.843947 0.536427i \(-0.819774\pi\)
0.958072 + 0.286528i \(0.0925011\pi\)
\(398\) −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 0.790466 0.612506i \(-0.209839\pi\)
−0.718767 + 0.695251i \(0.755293\pi\)
\(402\) −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 0.194404 0.980922i \(-0.437723\pi\)
−0.366783 + 0.930306i \(0.619541\pi\)
\(410\) −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 0.738590 0.674155i \(-0.235492\pi\)
0.256866 + 0.966447i \(0.417310\pi\)
\(420\) −8.15483 + 18.8906i −0.397915 + 0.921767i
\(421\) 28.7303 + 24.8950i 1.40023 + 1.21331i 0.946721 + 0.322054i \(0.104373\pi\)
0.453508 + 0.891252i \(0.350172\pi\)
\(422\) 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 0.197230 + 0.980357i \(0.436805\pi\)
−0.870063 + 0.492941i \(0.835922\pi\)
\(432\) −1.14898 + 5.06753i −0.0552805 + 0.243812i
\(433\) 28.2901 12.9196i 1.35953 0.620878i 0.403729 0.914879i \(-0.367714\pi\)
0.955805 + 0.294000i \(0.0949867\pi\)
\(434\) −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 0.0283821 0.999597i \(-0.490964\pi\)
−0.897475 + 0.441065i \(0.854601\pi\)
\(440\) −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 −0.223982 0.974593i \(-0.571906\pi\)
−0.883225 + 0.468949i \(0.844633\pi\)
\(444\) −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 0.957583 0.288159i \(-0.0930432\pi\)
−0.659913 + 0.751342i \(0.729407\pi\)
\(450\) −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 −0.380031 0.924974i \(-0.624087\pi\)
−0.104042 + 0.994573i \(0.533178\pi\)
\(458\) 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 \(0.176819\pi\)
−0.849641 + 0.527362i \(0.823181\pi\)
\(462\) −12.0334 + 19.6129i −0.559844 + 0.912472i
\(463\) 5.52918 + 38.4563i 0.256963 + 1.78721i 0.554173 + 0.832402i \(0.313035\pi\)
−0.297210 + 0.954812i \(0.596056\pi\)
\(464\) 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 −0.699467 0.714665i \(-0.746579\pi\)
0.806935 + 0.590640i \(0.201125\pi\)
\(468\) 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 0.962555 + 0.271088i \(0.0873833\pi\)
−0.425465 + 0.904975i \(0.639889\pi\)
\(480\) −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 0.870870 0.491514i \(-0.163556\pi\)
−0.941760 + 0.336286i \(0.890829\pi\)
\(488\) 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 0.913528 0.406775i \(-0.133347\pi\)
0.761922 + 0.647668i \(0.224256\pi\)
\(492\) 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 −0.991246 0.132025i \(-0.957852\pi\)
0.271750 + 0.962368i \(0.412398\pi\)
\(500\) −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 −0.938487 0.345315i \(-0.887772\pi\)
0.803185 0.595730i \(-0.203137\pi\)
\(504\) −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 −0.985352 0.170535i \(-0.945450\pi\)
−0.897393 + 0.441233i \(0.854541\pi\)
\(510\) −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 −0.837654 0.546201i \(-0.816074\pi\)
0.957606 0.288081i \(-0.0930173\pi\)
\(522\) 12.6183 15.8539i 0.552287 0.693907i
\(523\) 16.0627 + 7.33557i 0.702371 + 0.320762i 0.734392 0.678725i \(-0.237467\pi\)
−0.0320215 + 0.999487i \(0.510194\pi\)
\(524\) −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 −0.591420 + 0.806363i \(0.701433\pi\)
−0.979179 + 0.202999i \(0.934931\pi\)
\(542\) 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 −0.584630 0.811300i \(-0.698760\pi\)
−0.930444 + 0.366434i \(0.880578\pi\)
\(548\) 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 −0.125775 0.992059i \(-0.540142\pi\)
−0.642156 + 0.766574i \(0.721960\pi\)
\(558\) 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 −0.936905 0.349583i \(-0.886323\pi\)
−0.0712125 + 0.997461i \(0.522687\pi\)
\(564\) 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 −0.353163 0.935562i \(-0.614894\pi\)
0.938323 0.345760i \(-0.112379\pi\)
\(570\) 6.54982 24.1617i 0.274342 1.01202i
\(571\) 4.45035 2.03241i 0.186241 0.0850536i −0.320112 0.947380i \(-0.603720\pi\)
0.506353 + 0.862326i \(0.330993\pi\)
\(572\) 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 0.932777 0.360453i \(-0.117378\pi\)
0.0596101 + 0.998222i \(0.481014\pi\)
\(578\) −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 0.902041 0.431650i \(-0.142068\pi\)
−0.767364 + 0.641211i \(0.778432\pi\)
\(588\) 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 −0.976642 0.214872i \(-0.931067\pi\)
0.937772 + 0.347251i \(0.112885\pi\)
\(594\) −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 \(0.171039\pi\)
−0.859075 + 0.511849i \(0.828961\pi\)
\(600\) 5.63476 + 3.45719i 0.230038 + 0.141139i
\(601\) −5.44515 37.8719i −0.222112 1.54483i −0.730027 0.683418i \(-0.760493\pi\)
0.507915 0.861407i \(-0.330417\pi\)
\(602\) −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 −0.245298 0.969448i \(-0.578886\pi\)
0.317765 + 0.948170i \(0.397068\pi\)
\(608\) 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 0.694236 0.719748i \(-0.255742\pi\)
0.463338 + 0.886182i \(0.346652\pi\)
\(614\) 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 −0.928817 0.370538i \(-0.879173\pi\)
0.328212 0.944604i \(-0.393554\pi\)
\(618\) −11.8345 + 1.95454i −0.476055 + 0.0786231i
\(619\) 4.15672 6.46799i 0.167073 0.259970i −0.747614 0.664133i \(-0.768801\pi\)
0.914687 + 0.404163i \(0.132437\pi\)
\(620\) −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 −0.905123 0.425150i \(-0.860221\pi\)
0.292010 + 0.956415i \(0.405676\pi\)
\(632\) 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 0.895959 + 0.444137i \(0.146490\pi\)
−0.734538 + 0.678567i \(0.762601\pi\)
\(642\) −1.69340 1.03898i −0.0668330 0.0410051i
\(643\) 12.9601i 0.511097i 0.966796 + 0.255548i \(0.0822560\pi\)
−0.966796 + 0.255548i \(0.917744\pi\)
\(644\) −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 −0.896443 0.443158i \(-0.853858\pi\)
−0.735279 + 0.677764i \(0.762949\pi\)
\(648\) 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 0.932955 + 0.359993i \(0.117221\pi\)
−0.590225 + 0.807239i \(0.700961\pi\)
\(654\) 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 −0.943572 0.331167i \(-0.892558\pi\)
0.998651 0.0519171i \(-0.0165332\pi\)
\(660\) 13.1373 + 10.9118i 0.511369 + 0.424741i
\(661\) 3.03210 + 1.38472i 0.117935 + 0.0538592i 0.473509 0.880789i \(-0.342987\pi\)
−0.355574 + 0.934648i \(0.615714\pi\)
\(662\) 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 −0.879091 0.476653i \(-0.841850\pi\)
0.935913 + 0.352231i \(0.114577\pi\)
\(674\) 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 0.622710 0.782452i \(-0.286031\pi\)
−0.863109 + 0.505018i \(0.831486\pi\)
\(678\) −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 0.993605 0.112909i \(-0.0360169\pi\)
0.0296448 + 0.999560i \(0.490562\pi\)
\(684\) 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 0.0299686 0.999551i \(-0.490459\pi\)
0.921673 + 0.387968i \(0.126823\pi\)
\(702\) −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 −0.809698 0.586846i \(-0.800369\pi\)
−0.0867306 + 0.996232i \(0.527642\pi\)
\(710\) 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 −0.0619820 0.998077i \(-0.519742\pi\)
−0.794886 + 0.606759i \(0.792469\pi\)
\(720\) −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 0.998495 0.0548492i \(-0.0174678\pi\)
−0.869641 + 0.493685i \(0.835650\pi\)
\(728\) 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 −0.0330858 0.999453i \(-0.510533\pi\)
0.249833 + 0.968289i \(0.419624\pi\)
\(734\) −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 −0.779427 0.626494i \(-0.784489\pi\)
0.571351 0.820706i \(-0.306420\pi\)
\(740\) −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 −0.688116 0.725601i \(-0.741562\pi\)
0.816145 + 0.577848i \(0.196107\pi\)
\(744\) 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 0.293321 0.956014i \(-0.405239\pi\)
0.0120994 + 0.999927i \(0.496149\pi\)
\(752\) −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 −0.490235 0.871590i \(-0.663089\pi\)
0.996477 + 0.0838617i \(0.0267254\pi\)
\(758\) −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 0.139255 + 0.990257i \(0.455529\pi\)
−0.958618 + 0.284697i \(0.908107\pi\)
\(762\) 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 −0.315240 0.949012i \(-0.602085\pi\)
0.894489 + 0.447090i \(0.147540\pi\)
\(770\) −33.1848 + 21.3266i −1.19590 + 0.768557i
\(771\) −2.36573 + 1.59111i −0.0851997 + 0.0573026i
\(772\) −2.97297 3.43099i