Properties

Label 138.2.f.a.11.5
Level $138$
Weight $2$
Character 138.11
Analytic conductor $1.102$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

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 11.5
Character \(\chi\) \(=\) 138.11
Dual form 138.2.f.a.113.5

$q$-expansion

\(f(q)\) \(=\) \(q+(0.540641 + 0.841254i) q^{2} +(-1.71919 - 0.210651i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-2.84902 + 0.836549i) q^{5} +(-0.752255 - 1.56016i) q^{6} +(-3.02354 + 2.61991i) q^{7} +(-0.989821 + 0.142315i) q^{8} +(2.91125 + 0.724301i) q^{9} +O(q^{10})\) \(q+(0.540641 + 0.841254i) q^{2} +(-1.71919 - 0.210651i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-2.84902 + 0.836549i) q^{5} +(-0.752255 - 1.56016i) q^{6} +(-3.02354 + 2.61991i) q^{7} +(-0.989821 + 0.142315i) q^{8} +(2.91125 + 0.724301i) q^{9} +(-2.24405 - 1.94448i) q^{10} +(2.79349 + 1.79527i) q^{11} +(0.905794 - 1.47633i) q^{12} +(1.31691 - 1.51980i) q^{13} +(-3.83866 - 1.12713i) q^{14} +(5.07424 - 0.838038i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(0.139786 + 0.306088i) q^{17} +(0.964621 + 2.84069i) q^{18} +(-4.42768 - 2.02205i) q^{19} +(0.422576 - 2.93908i) q^{20} +(5.74994 - 3.86723i) 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} +(-4.85243 - 1.85847i) q^{27} +(-1.12713 - 3.83866i) q^{28} +(6.14380 - 2.80578i) q^{29} +(3.44834 + 3.81565i) q^{30} +(1.10880 + 7.71186i) q^{31} +(0.281733 - 0.959493i) q^{32} +(-4.42438 - 3.67487i) q^{33} +(-0.181924 + 0.283079i) q^{34} +(6.42246 - 9.99354i) q^{35} +(-1.86823 + 2.34728i) q^{36} +(-2.31258 + 7.87592i) q^{37} +(-0.692724 - 4.81800i) q^{38} +(-2.58417 + 2.33542i) q^{39} +(2.70097 - 1.23349i) q^{40} +(0.321149 + 1.09373i) q^{41} +(6.36197 + 2.74638i) 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} +(0.966633 + 1.43723i) q^{48} +(1.28165 - 8.91409i) q^{49} +(3.47183 + 1.58553i) q^{50} +(-0.175841 - 0.555670i) q^{51} +(0.835391 + 1.82925i) q^{52} +(-0.581719 - 0.671339i) q^{53} +(-1.05997 - 5.08689i) q^{54} +(-9.46055 - 2.77787i) q^{55} +(2.61991 - 3.02354i) q^{56} +(7.18608 + 4.40899i) q^{57} +(5.68196 + 3.65157i) q^{58} +(-3.38202 - 2.93054i) q^{59} +(-1.34561 + 4.96383i) q^{60} +(7.37119 - 1.05982i) q^{61} +(-5.88816 + 5.10212i) q^{62} +(-10.6999 + 5.43728i) q^{63} +(0.959493 - 0.281733i) q^{64} +(-2.48053 + 5.43160i) q^{65} +(0.699496 - 5.70880i) q^{66} +(-6.97092 - 10.8470i) q^{67} -0.336496 q^{68} +(1.66810 - 8.13741i) q^{69} +11.8793 q^{70} +(-6.79016 - 10.5657i) q^{71} +(-2.98470 - 0.302614i) q^{72} +(4.56063 - 9.98639i) q^{73} +(-7.87592 + 2.31258i) q^{74} +(-5.95475 + 2.87117i) q^{75} +(3.67865 - 3.18756i) q^{76} +(-13.1497 + 1.89064i) q^{77} +(-3.36179 - 0.911324i) q^{78} +(11.8282 + 10.2492i) q^{79} +(2.49793 + 1.60533i) q^{80} +(7.95078 + 4.21725i) q^{81} +(-0.746481 + 0.861485i) q^{82} +(5.91068 + 1.73553i) q^{83} +(1.12914 + 6.83684i) q^{84} +(-0.654309 - 0.755113i) q^{85} +(-0.184641 - 0.404308i) q^{86} +(-11.1534 + 3.52947i) q^{87} +(-3.02055 - 1.37944i) q^{88} +(-1.63266 + 11.3554i) q^{89} +(-5.12460 - 7.28623i) 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} +(-0.686471 + 1.59021i) q^{96} +(1.88225 + 6.41036i) q^{97} +(8.19193 - 3.74113i) q^{98} +(6.83224 + 7.24981i) 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
\(3\) −1.71919 0.210651i −0.992577 0.121620i
\(4\) −0.415415 + 0.909632i −0.207708 + 0.454816i
\(5\) −2.84902 + 0.836549i −1.27412 + 0.374116i −0.847733 0.530424i \(-0.822033\pi\)
−0.426389 + 0.904540i \(0.640215\pi\)
\(6\) −0.752255 1.56016i −0.307107 0.636934i
\(7\) −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
\(9\) 2.91125 + 0.724301i 0.970417 + 0.241434i
\(10\) −2.24405 1.94448i −0.709630 0.614898i
\(11\) 2.79349 + 1.79527i 0.842269 + 0.541294i 0.889155 0.457607i \(-0.151293\pi\)
−0.0468854 + 0.998900i \(0.514930\pi\)
\(12\) 0.905794 1.47633i 0.261480 0.426178i
\(13\) 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
\(15\) 5.07424 0.838038i 1.31016 0.216380i
\(16\) −0.654861 0.755750i −0.163715 0.188937i
\(17\) 0.139786 + 0.306088i 0.0339030 + 0.0742371i 0.925826 0.377950i \(-0.123371\pi\)
−0.891923 + 0.452188i \(0.850644\pi\)
\(18\) 0.964621 + 2.84069i 0.227363 + 0.669557i
\(19\) −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
\(21\) 5.74994 3.86723i 1.25474 0.843898i
\(22\) 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
\(27\) −4.85243 1.85847i −0.933851 0.357663i
\(28\) −1.12713 3.83866i −0.213008 0.725439i
\(29\) 6.14380 2.80578i 1.14087 0.521020i 0.246857 0.969052i \(-0.420602\pi\)
0.894017 + 0.448032i \(0.147875\pi\)
\(30\) 3.44834 + 3.81565i 0.629579 + 0.696639i
\(31\) 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
\(33\) −4.42438 3.67487i −0.770185 0.639712i
\(34\) −0.181924 + 0.283079i −0.0311996 + 0.0485476i
\(35\) 6.42246 9.99354i 1.08559 1.68922i
\(36\) −1.86823 + 2.34728i −0.311371 + 0.391214i
\(37\) −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
\(39\) −2.58417 + 2.33542i −0.413799 + 0.373966i
\(40\) 2.70097 1.23349i 0.427061 0.195032i
\(41\) 0.321149 + 1.09373i 0.0501551 + 0.170813i 0.980762 0.195208i \(-0.0625382\pi\)
−0.930607 + 0.366021i \(0.880720\pi\)
\(42\) 6.36197 + 2.74638i 0.981673 + 0.423776i
\(43\) −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 \(0.207866\pi\)
−0.794245 + 0.607597i \(0.792134\pi\)
\(48\) 0.966633 + 1.43723i 0.139521 + 0.207446i
\(49\) 1.28165 8.91409i 0.183093 1.27344i
\(50\) 3.47183 + 1.58553i 0.490991 + 0.224228i
\(51\) −0.175841 0.555670i −0.0246226 0.0778093i
\(52\) 0.835391 + 1.82925i 0.115848 + 0.253671i
\(53\) −0.581719 0.671339i −0.0799052 0.0922155i 0.714389 0.699749i \(-0.246705\pi\)
−0.794294 + 0.607533i \(0.792159\pi\)
\(54\) −1.05997 5.08689i −0.144244 0.692238i
\(55\) −9.46055 2.77787i −1.27566 0.374568i
\(56\) 2.61991 3.02354i 0.350101 0.404038i
\(57\) 7.18608 + 4.40899i 0.951820 + 0.583985i
\(58\) 5.68196 + 3.65157i 0.746077 + 0.479475i
\(59\) −3.38202 2.93054i −0.440302 0.381524i 0.406309 0.913736i \(-0.366815\pi\)
−0.846611 + 0.532212i \(0.821361\pi\)
\(60\) −1.34561 + 4.96383i −0.173718 + 0.640827i
\(61\) 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
\(63\) −10.6999 + 5.43728i −1.34806 + 0.685032i
\(64\) 0.959493 0.281733i 0.119937 0.0352166i
\(65\) −2.48053 + 5.43160i −0.307672 + 0.673707i
\(66\) 0.699496 5.70880i 0.0861019 0.702705i
\(67\) −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
\(69\) 1.66810 8.13741i 0.200816 0.979629i
\(70\) 11.8793 1.41985
\(71\) −6.79016 10.5657i −0.805843 1.25392i −0.963841 0.266477i \(-0.914140\pi\)
0.157998 0.987439i \(-0.449496\pi\)
\(72\) −2.98470 0.302614i −0.351750 0.0356635i
\(73\) 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
\(75\) −5.95475 + 2.87117i −0.687595 + 0.331534i
\(76\) 3.67865 3.18756i 0.421970 0.365639i
\(77\) −13.1497 + 1.89064i −1.49855 + 0.215458i
\(78\) −3.36179 0.911324i −0.380647 0.103187i
\(79\) 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
\(81\) 7.95078 + 4.21725i 0.883420 + 0.468583i
\(82\) −0.746481 + 0.861485i −0.0824351 + 0.0951351i
\(83\) 5.91068 + 1.73553i 0.648781 + 0.190499i 0.589533 0.807744i \(-0.299312\pi\)
0.0592477 + 0.998243i \(0.481130\pi\)
\(84\) 1.12914 + 6.83684i 0.123199 + 0.745960i
\(85\) −0.654309 0.755113i −0.0709698 0.0819035i
\(86\) −0.184641 0.404308i −0.0199104 0.0435976i
\(87\) −11.1534 + 3.52947i −1.19577 + 0.378399i
\(88\) −3.02055 1.37944i −0.321992 0.147049i
\(89\) −1.63266 + 11.3554i −0.173061 + 1.20367i 0.699309 + 0.714820i \(0.253491\pi\)
−0.872370 + 0.488847i \(0.837418\pi\)
\(90\) −5.12460 7.28623i −0.540180 0.768036i
\(91\) 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
\(96\) −0.686471 + 1.59021i −0.0700627 + 0.162300i
\(97\) 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
\(99\) 6.83224 + 7.24981i 0.686666 + 0.728633i
\(100\) 0.543180 + 3.77790i 0.0543180 + 0.377790i
\(101\) −0.162410 + 0.553117i −0.0161604 + 0.0550372i −0.967178 0.254098i \(-0.918221\pi\)
0.951018 + 0.309135i \(0.100040\pi\)
\(102\) 0.372393 0.448344i 0.0368724 0.0443927i
\(103\) 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
\(105\) −13.1466 + 15.8279i −1.28298 + 1.54465i
\(106\) 0.250266 0.852326i 0.0243079 0.0827852i
\(107\) 0.163240 + 1.13536i 0.0157810 + 0.109759i 0.996189 0.0872163i \(-0.0277971\pi\)
−0.980408 + 0.196976i \(0.936888\pi\)
\(108\) 3.70630 3.64189i 0.356639 0.350441i
\(109\) −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
\(111\) 5.63484 13.0531i 0.534836 1.23894i
\(112\) 3.96000 + 0.569362i 0.374185 + 0.0537996i
\(113\) −3.76459 + 2.41935i −0.354142 + 0.227594i −0.705600 0.708610i \(-0.749322\pi\)
0.351458 + 0.936204i \(0.385686\pi\)
\(114\) 0.176008 + 8.42900i 0.0164846 + 0.789448i
\(115\) −2.90345 13.9411i −0.270748 1.30002i
\(116\) 6.75416i 0.627108i
\(117\) 4.93465 3.47067i 0.456209 0.320864i
\(118\) 0.636867 4.42951i 0.0586283 0.407769i
\(119\) −1.22457 0.559243i −0.112256 0.0512657i
\(120\) −4.90333 + 1.55165i −0.447611 + 0.141645i
\(121\) 0.0110428 + 0.0241804i 0.00100389 + 0.00219822i
\(122\) 4.87674 + 5.62806i 0.441519 + 0.509540i
\(123\) −0.321721 1.94799i −0.0290086 0.175644i
\(124\) −7.47556 2.19502i −0.671325 0.197119i
\(125\) 2.30081 2.65528i 0.205791 0.237495i
\(126\) −10.3589 6.06172i −0.922847 0.540021i
\(127\) 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
\(129\) 0.743034 + 0.201424i 0.0654205 + 0.0177344i
\(130\) −5.91042 + 0.849791i −0.518378 + 0.0745316i
\(131\) 7.37999 6.39480i 0.644793 0.558716i −0.269889 0.962892i \(-0.586987\pi\)
0.914682 + 0.404175i \(0.132441\pi\)
\(132\) 5.18073 2.49796i 0.450925 0.217420i
\(133\) 18.6849 5.48637i 1.62018 0.475729i
\(134\) 5.35628 11.7286i 0.462713 1.01320i
\(135\) 15.3794 + 1.23554i 1.32365 + 0.106338i
\(136\) −0.181924 0.283079i −0.0155998 0.0242738i
\(137\) 9.33315 0.797385 0.398692 0.917085i \(-0.369464\pi\)
0.398692 + 0.917085i \(0.369464\pi\)
\(138\) 7.74747 2.99612i 0.659508 0.255046i
\(139\) 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
\(141\) 1.75493 14.3225i 0.147792 1.20617i
\(142\) 5.21739 11.4245i 0.437834 0.958722i
\(143\) 6.40722 1.88133i 0.535799 0.157325i
\(144\) −1.35907 2.67449i −0.113256 0.222874i
\(145\) −15.1566 + 13.1333i −1.25869 + 1.09066i
\(146\) 10.8668 1.56240i 0.899339 0.129305i
\(147\) −4.08118 + 15.0551i −0.336610 + 1.24172i
\(148\) −6.20351 5.37537i −0.509925 0.441853i
\(149\) −1.22356 0.786335i −0.100238 0.0644191i 0.489561 0.871969i \(-0.337157\pi\)
−0.589800 + 0.807550i \(0.700793\pi\)
\(150\) −5.63476 3.45719i −0.460076 0.282278i
\(151\) −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
\(153\) 0.185251 + 0.992345i 0.0149767 + 0.0802263i
\(154\) −8.69977 10.0401i −0.701047 0.809051i
\(155\) −9.61033 21.0437i −0.771920 1.69027i
\(156\) −1.05086 3.32081i −0.0841365 0.265878i
\(157\) −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
\(159\) 0.858668 + 1.27670i 0.0680968 + 0.101249i
\(160\) 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
\(165\) 15.6794 + 6.76857i 1.22064 + 0.526933i
\(166\) 1.73553 + 5.91068i 0.134703 + 0.458758i
\(167\) −11.6185 + 5.30598i −0.899065 + 0.410589i −0.810675 0.585497i \(-0.800900\pi\)
−0.0883904 + 0.996086i \(0.528172\pi\)
\(168\) −5.14105 + 4.64617i −0.396641 + 0.358459i
\(169\) 1.27457 + 8.86480i 0.0980436 + 0.681908i
\(170\) 0.281495 0.958685i 0.0215897 0.0735278i
\(171\) −11.4255 9.09367i −0.873730 0.695410i
\(172\) 0.240301 0.373915i 0.0183228 0.0285108i
\(173\) −9.24628 + 14.3875i −0.702982 + 1.09386i 0.287708 + 0.957718i \(0.407107\pi\)
−0.990689 + 0.136142i \(0.956530\pi\)
\(174\) −8.99917 7.47467i −0.682226 0.566653i
\(175\) −4.30198 + 14.6512i −0.325199 + 1.10753i
\(176\) −0.472575 3.28683i −0.0356217 0.247754i
\(177\) 5.19703 + 5.75059i 0.390632 + 0.432241i
\(178\) −10.4354 + 4.76570i −0.782168 + 0.357204i
\(179\) 4.74950 + 16.1753i 0.354994 + 1.20900i 0.922619 + 0.385712i \(0.126044\pi\)
−0.567625 + 0.823287i \(0.692138\pi\)
\(180\) 3.35900 8.25032i 0.250365 0.614943i
\(181\) −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
\(186\) 11.1977 7.53119i 0.821053 0.552213i
\(187\) −0.159020 + 1.10601i −0.0116287 + 0.0808791i
\(188\) −7.57810 3.46080i −0.552690 0.252405i
\(189\) 19.5406 7.09378i 1.42137 0.515996i
\(190\) 6.00408 + 13.1471i 0.435582 + 0.953791i
\(191\) −5.13683 5.92822i −0.371688 0.428951i 0.538834 0.842412i \(-0.318865\pi\)
−0.910522 + 0.413461i \(0.864320\pi\)
\(192\) −1.70890 + 0.282234i −0.123329 + 0.0203685i
\(193\) 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
\(195\) 5.40868 8.81544i 0.387324 0.631287i
\(196\) 7.57613 + 4.86888i 0.541152 + 0.347777i
\(197\) 4.14385 + 3.59067i 0.295237 + 0.255825i 0.789865 0.613280i \(-0.210150\pi\)
−0.494628 + 0.869105i \(0.664696\pi\)
\(198\) −2.40514 + 9.66719i −0.170926 + 0.687017i
\(199\) 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
\(201\) 9.69944 + 20.1165i 0.684145 + 1.41891i
\(202\) −0.553117 + 0.162410i −0.0389172 + 0.0114271i
\(203\) −11.2251 + 24.5796i −0.787850 + 1.72515i
\(204\) 0.578502 + 0.0708834i 0.0405032 + 0.00496283i
\(205\) −1.82992 2.84742i −0.127807 0.198872i
\(206\) 6.92524 0.482504
\(207\) −4.58195 + 13.6384i −0.318468 + 0.947934i
\(208\) −2.01098 −0.139436
\(209\) −8.73855 13.5974i −0.604458 0.940555i
\(210\) −20.4229 2.50240i −1.40931 0.172682i
\(211\) −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
\(213\) 9.44792 + 19.5948i 0.647360 + 1.34262i
\(214\) −0.866870 + 0.751148i −0.0592580 + 0.0513474i
\(215\) 1.30634 0.187824i 0.0890919 0.0128095i
\(216\) 5.06753 + 1.14898i 0.344802 + 0.0781785i
\(217\) −23.5569 20.4122i −1.59915 1.38567i
\(218\) −9.14393 5.87645i −0.619305 0.398003i
\(219\) −9.94426 + 16.2078i −0.671971 + 1.09522i
\(220\) 6.45689 7.45165i 0.435324 0.502390i
\(221\) 0.649276 + 0.190645i 0.0436750 + 0.0128241i
\(222\) 14.0274 2.31670i 0.941456 0.155486i
\(223\) −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
\(225\) 10.8422 3.68171i 0.722812 0.245447i
\(226\) −4.07058 1.85897i −0.270771 0.123657i
\(227\) −0.0525893 + 0.365766i −0.00349047 + 0.0242768i −0.991492 0.130166i \(-0.958449\pi\)
0.988002 + 0.154443i \(0.0493581\pi\)
\(228\) −6.99577 + 4.70513i −0.463306 + 0.311605i
\(229\) 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 0.198656 0.980069i \(-0.436342\pi\)
−0.0855079 + 0.996337i \(0.527251\pi\)
\(234\) 5.58759 + 2.27491i 0.365272 + 0.148715i
\(235\) −6.96925 23.7351i −0.454624 1.54831i
\(236\) 4.07065 1.85901i 0.264977 0.121011i
\(237\) −18.1760 20.1120i −1.18066 1.30641i
\(238\) −0.191588 1.33252i −0.0124188 0.0863747i
\(239\) 6.95175 23.6755i 0.449672 1.53144i −0.353350 0.935491i \(-0.614958\pi\)
0.803022 0.595950i \(-0.203224\pi\)
\(240\) −3.95627 3.28606i −0.255376 0.212114i
\(241\) −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
\(243\) −12.7806 8.92510i −0.819873 0.572546i
\(244\) −2.09806 + 7.14533i −0.134314 + 0.457433i
\(245\) 3.80561 + 26.4686i 0.243132 + 1.69102i
\(246\) 1.46482 1.32381i 0.0933934 0.0844032i
\(247\) −8.90396 + 4.06630i −0.566546 + 0.258733i
\(248\) −2.19502 7.47556i −0.139384 0.474699i
\(249\) −9.79600 4.22881i −0.620797 0.267990i
\(250\) 3.47768 + 0.500014i 0.219948 + 0.0316237i
\(251\) 8.50239 5.46416i 0.536666 0.344894i −0.244068 0.969758i \(-0.578482\pi\)
0.780734 + 0.624864i \(0.214845\pi\)
\(252\) −0.501020 11.9917i −0.0315613 0.755406i
\(253\) −9.65630 + 12.6636i −0.607087 + 0.796155i
\(254\) 10.4788i 0.657497i
\(255\) 0.965819 + 1.43602i 0.0604819 + 0.0899269i
\(256\) −0.142315 + 0.989821i −0.00889468 + 0.0618638i
\(257\) 1.49729 + 0.683789i 0.0933983 + 0.0426536i 0.461566 0.887106i \(-0.347288\pi\)
−0.368168 + 0.929759i \(0.620015\pi\)
\(258\) 0.232266 + 0.733978i 0.0144602 + 0.0456955i
\(259\) −13.6421 29.8719i −0.847676 1.85615i
\(260\) −3.91031 4.51273i −0.242507 0.279868i
\(261\) 19.9184 3.71837i 1.23292 0.230161i
\(262\) 9.36957 + 2.75116i 0.578854 + 0.169967i
\(263\) −3.18074 + 3.67076i −0.196133 + 0.226349i −0.845294 0.534302i \(-0.820575\pi\)
0.649161 + 0.760651i \(0.275120\pi\)
\(264\) 4.90233 + 3.00781i 0.301718 + 0.185118i
\(265\) 2.21894 + 1.42602i 0.136308 + 0.0876000i
\(266\) 14.7172 + 12.7526i 0.902371 + 0.781909i
\(267\) 5.19888 19.1782i 0.318166 1.17368i
\(268\) 12.7626 1.83498i 0.779598 0.112089i
\(269\) −7.36354 + 6.38054i −0.448963 + 0.389028i −0.849787 0.527127i \(-0.823269\pi\)
0.400824 + 0.916155i \(0.368724\pi\)
\(270\) 7.27532 + 13.6059i 0.442762 + 0.828032i
\(271\) −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
\(273\) 1.69477 13.8315i 0.102572 0.837123i
\(274\) 5.04588 + 7.85154i 0.304833 + 0.474329i
\(275\) 12.6740 0.764271
\(276\) 6.70909 + 4.89776i 0.403840 + 0.294811i
\(277\) 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
\(279\) −2.35772 + 23.2543i −0.141153 + 1.39220i
\(280\) −4.93486 + 10.8058i −0.294914 + 0.645772i
\(281\) 6.61909 1.94354i 0.394862 0.115942i −0.0782730 0.996932i \(-0.524941\pi\)
0.473135 + 0.880990i \(0.343122\pi\)
\(282\) 12.9977 6.26700i 0.773999 0.373194i
\(283\) 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
\(285\) −24.1617 6.54982i −1.43121 0.387978i
\(286\) 5.04668 + 4.37298i 0.298417 + 0.258579i
\(287\) −3.83650 2.46557i −0.226461 0.145538i
\(288\) 1.51516 2.58927i 0.0892814 0.152574i
\(289\) 11.0585 12.7622i 0.650499 0.750716i
\(290\) −19.2427 5.65018i −1.12997 0.331790i
\(291\) −1.88560 11.4172i −0.110536 0.669285i
\(292\) 7.18939 + 8.29699i 0.420727 + 0.485545i
\(293\) −4.76749 10.4393i −0.278520 0.609873i 0.717737 0.696314i \(-0.245178\pi\)
−0.996257 + 0.0864410i \(0.972451\pi\)
\(294\) −14.8716 + 4.70608i −0.867328 + 0.274464i
\(295\) 12.0870 + 5.51995i 0.703732 + 0.321384i
\(296\) 1.16818 8.12487i 0.0678991 0.472248i
\(297\) −10.2188 13.9030i −0.592953 0.806736i
\(298\) 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
\(303\) 0.395729 0.916703i 0.0227340 0.0526632i
\(304\) 1.37135 + 4.67038i 0.0786521 + 0.267864i
\(305\) −20.1141 + 9.18580i −1.15173 + 0.525977i
\(306\) −0.734659 + 0.692345i −0.0419977 + 0.0395788i
\(307\) 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
\(309\) −7.66400 + 9.22712i −0.435990 + 0.524913i
\(310\) 12.5073 19.4618i 0.710369 1.10536i
\(311\) 15.3196 23.8377i 0.868694 1.35171i −0.0665772 0.997781i \(-0.521208\pi\)
0.935271 0.353933i \(-0.115156\pi\)
\(312\) 2.22551 2.67941i 0.125994 0.151692i
\(313\) −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
\(315\) 25.9357 24.4419i 1.46131 1.37715i
\(316\) −14.2366 + 6.50165i −0.800873 + 0.365746i
\(317\) 1.67282 + 5.69709i 0.0939547 + 0.319980i 0.993038 0.117798i \(-0.0375836\pi\)
−0.899083 + 0.437779i \(0.855765\pi\)
\(318\) −0.609799 + 1.41259i −0.0341958 + 0.0792144i
\(319\) 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
\(324\) −7.13901 + 5.48037i −0.396612 + 0.304465i
\(325\) 1.09232 7.59727i 0.0605912 0.421421i
\(326\) 1.99635 + 0.911701i 0.110567 + 0.0504944i
\(327\) 17.9491 5.67996i 0.992588 0.314102i
\(328\) −0.473535 1.03690i −0.0261466 0.0572531i
\(329\) −21.8264 25.1890i −1.20333 1.38871i
\(330\) 2.78281 + 16.8497i 0.153189 + 0.927544i
\(331\) −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
\(333\) −12.4370 + 21.2538i −0.681545 + 1.16470i
\(334\) −10.7451 6.90546i −0.587946 0.377850i
\(335\) 28.9343 + 25.0717i 1.58085 + 1.36982i
\(336\) −6.68807 1.81302i −0.364864 0.0989085i
\(337\) −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
\(339\) 6.98169 3.36632i 0.379193 0.182833i
\(340\) 0.958685 0.281495i 0.0519920 0.0152662i
\(341\) −10.7474 + 23.5336i −0.582006 + 1.27442i
\(342\) 1.47299 14.5282i 0.0796502 0.785593i
\(343\) 4.33836 + 6.75062i 0.234250 + 0.364499i
\(344\) 0.444474 0.0239644
\(345\) 2.05487 + 24.5791i 0.110631 + 1.32330i
\(346\) −17.1024 −0.919433
\(347\) 6.87059 + 10.6908i 0.368833 + 0.573915i 0.975215 0.221258i \(-0.0710164\pi\)
−0.606383 + 0.795173i \(0.707380\pi\)
\(348\) 1.42277 11.6117i 0.0762686 0.622452i
\(349\) −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
\(351\) −9.21472 + 4.92726i −0.491845 + 0.262998i
\(352\) 2.50956 2.17455i 0.133760 0.115904i
\(353\) 26.6533 3.83217i 1.41861 0.203966i 0.610044 0.792368i \(-0.291152\pi\)
0.808568 + 0.588402i \(0.200243\pi\)
\(354\) −2.02798 + 7.48102i −0.107786 + 0.397612i
\(355\) 28.1840 + 24.4216i 1.49585 + 1.29616i
\(356\) −9.65098 6.20231i −0.511501 0.328722i
\(357\) 1.98747 + 1.21940i 0.105188 + 0.0645377i
\(358\) −11.0398 + 12.7406i −0.583469 + 0.673359i
\(359\) 2.98130 + 0.875389i 0.157347 + 0.0462013i 0.359457 0.933161i \(-0.382962\pi\)
−0.202110 + 0.979363i \(0.564780\pi\)
\(360\) 8.75663 1.63469i 0.461515 0.0861557i
\(361\) 3.07326 + 3.54673i 0.161751 + 0.186670i
\(362\) −9.39518 20.5726i −0.493800 1.08127i
\(363\) −0.0138911 0.0438969i −0.000729093 0.00230399i
\(364\) −7.31832 3.34217i −0.383584 0.175177i
\(365\) −4.63924 + 32.2666i −0.242829 + 1.68891i
\(366\) −7.19850 10.7030i −0.376272 0.559455i
\(367\) 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
\(372\) 12.3896 + 5.34841i 0.642368 + 0.277302i
\(373\) −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
\(375\) −4.51488 + 4.08027i −0.233147 + 0.210704i
\(376\) −1.18562 8.24616i −0.0611436 0.425263i
\(377\) 3.82662 13.0323i 0.197081 0.671197i
\(378\) 16.5321 + 12.6034i 0.850319 + 0.648248i
\(379\) 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
\(381\) −13.9618 11.5966i −0.715286 0.594113i
\(382\) 2.20996 7.52642i 0.113071 0.385085i
\(383\) −2.55660 17.7815i −0.130636 0.908594i −0.944727 0.327857i \(-0.893674\pi\)
0.814091 0.580737i \(-0.197236\pi\)
\(384\) −1.16133 1.28503i −0.0592640 0.0655765i
\(385\) 35.8822 16.3868i 1.82872 0.835150i
\(386\) 1.27902 + 4.35595i 0.0651006 + 0.221712i
\(387\) −1.23499 0.502808i −0.0627780 0.0255592i
\(388\) −6.61299 0.950804i −0.335724 0.0482698i
\(389\) 13.0570 8.39122i 0.662016 0.425452i −0.166023 0.986122i \(-0.553093\pi\)
0.828039 + 0.560670i \(0.189456\pi\)
\(390\) 10.3402 0.215915i 0.523595 0.0109333i
\(391\) −1.51697 + 0.550525i −0.0767166 + 0.0278412i
\(392\) 9.00576i 0.454860i
\(393\) −14.0347 + 9.43929i −0.707957 + 0.476149i
\(394\) −0.780327 + 5.42729i −0.0393123 + 0.273423i
\(395\) −42.2728 19.3053i −2.12698 0.971357i
\(396\) −9.43287 + 3.20315i −0.474020 + 0.160964i
\(397\) 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
\(399\) −33.2786 + 5.49614i −1.66601 + 0.275151i
\(400\) −3.66214 1.07530i −0.183107 0.0537651i
\(401\) −1.43577 + 1.65697i −0.0716992 + 0.0827452i −0.790466 0.612506i \(-0.790161\pi\)
0.718767 + 0.695251i \(0.244707\pi\)
\(402\) −11.6791 + 19.0355i −0.582503 + 0.949403i
\(403\) 13.1806 + 8.47068i 0.656575 + 0.421955i
\(404\) −0.435665 0.377506i −0.0216752 0.0187816i
\(405\) −26.1799 5.36382i −1.30089 0.266530i
\(406\) −26.7464 + 3.84556i −1.32740 + 0.190852i
\(407\) −20.5996 + 17.8496i −1.02108 + 0.884773i
\(408\) 0.253131 + 0.524989i 0.0125318 + 0.0259908i
\(409\) −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
\(411\) −16.0455 1.96604i −0.791466 0.0969777i
\(412\) 3.74407 + 5.82588i 0.184457 + 0.287020i
\(413\) 17.9034 0.880971
\(414\) −13.9505 + 3.51889i −0.685631 + 0.172944i
\(415\) −18.2915 −0.897895
\(416\) −1.08722 1.69174i −0.0533052 0.0829446i
\(417\) −34.4938 4.22649i −1.68917 0.206972i
\(418\) 6.71448 14.7027i 0.328416 0.719131i
\(419\) −20.3765 + 5.98307i −0.995456 + 0.292292i −0.738590 0.674155i \(-0.764508\pi\)
−0.256866 + 0.966447i \(0.582690\pi\)
\(420\) −8.93629 18.5337i −0.436046 0.904353i
\(421\) 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
\(423\) −6.03412 + 24.2535i −0.293389 + 1.17925i
\(424\) 0.671339 + 0.581719i 0.0326031 + 0.0282508i
\(425\) 1.08044 + 0.694356i 0.0524090 + 0.0336812i
\(426\) −11.3763 + 18.5419i −0.551183 + 0.898356i
\(427\) −19.5105 + 22.5163i −0.944178 + 1.08964i
\(428\) −1.10057 0.323157i −0.0531981 0.0156204i
\(429\) −11.4116 + 1.88468i −0.550955 + 0.0909932i
\(430\) 0.864270 + 0.997421i 0.0416788 + 0.0480999i
\(431\) 13.9684 + 30.5865i 0.672833 + 1.47330i 0.870063 + 0.492941i \(0.164078\pi\)
−0.197230 + 0.980357i \(0.563195\pi\)
\(432\) 1.77313 + 4.88426i 0.0853095 + 0.234994i
\(433\) 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
\(435\) 28.8238 19.3859i 1.38199 0.929484i
\(436\) 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
\(441\) 10.1877 25.0229i 0.485129 1.19157i
\(442\) 0.190645 + 0.649276i 0.00906804 + 0.0308829i
\(443\) 23.3040 10.6426i 1.10721 0.505645i 0.223982 0.974593i \(-0.428094\pi\)
0.883225 + 0.468949i \(0.155367\pi\)
\(444\) 9.53270 + 10.5481i 0.452402 + 0.500590i
\(445\) −4.84785 33.7175i −0.229810 1.59836i
\(446\) 1.47808 5.03387i 0.0699891 0.238361i
\(447\) 1.93790 + 1.60961i 0.0916594 + 0.0761318i
\(448\) −2.16295 + 3.36562i −0.102190 + 0.159011i
\(449\) −6.30751 + 9.81467i −0.297670 + 0.463183i −0.957583 0.288159i \(-0.906957\pi\)
0.659913 + 0.751342i \(0.270593\pi\)
\(450\) 8.95898 + 7.13054i 0.422330 + 0.336137i
\(451\) −1.06642 + 3.63189i −0.0502157 + 0.171019i
\(452\) −0.636855 4.42942i −0.0299551 0.208343i
\(453\) 3.68107 3.32672i 0.172952 0.156303i
\(454\) −0.336134 + 0.153507i −0.0157756 + 0.00720446i
\(455\) −6.73034 22.9214i −0.315523 1.07457i
\(456\) −7.74040 3.34143i −0.362478 0.156477i
\(457\) −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 \(0.176819\pi\)
−0.849641 + 0.527362i \(0.823181\pi\)
\(462\) 12.8416 + 19.0934i 0.597446 + 0.888307i
\(463\) 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
\(465\) 12.0891 + 38.2026i 0.560620 + 1.77160i
\(466\) 0.724857 + 1.58721i 0.0335783 + 0.0735263i
\(467\) −2.32240 2.68019i −0.107468 0.124025i 0.699467 0.714665i \(-0.253421\pi\)
−0.806935 + 0.590640i \(0.798875\pi\)
\(468\) 1.10710 + 5.93049i 0.0511759 + 0.274137i
\(469\) 49.4950 + 14.5330i 2.28547 + 0.671074i
\(470\) 16.1994 18.6951i 0.747221 0.862339i
\(471\) 6.55130 + 4.01952i 0.301868 + 0.185210i
\(472\) 3.76466 + 2.41940i 0.173282 + 0.111362i
\(473\) −1.11544 0.966531i −0.0512878 0.0444411i
\(474\) 7.09261 26.1640i 0.325775 1.20175i
\(475\) −18.3891 + 2.64395i −0.843749 + 0.121313i
\(476\) 1.01741 0.881591i 0.0466329 0.0404077i
\(477\) −1.20728 2.37578i −0.0552775 0.108779i
\(478\) 23.6755 6.95175i 1.08289 0.317966i
\(479\) −11.7548 + 25.7394i −0.537090 + 1.17606i 0.425465 + 0.904975i \(0.360111\pi\)
−0.962555 + 0.271088i \(0.912617\pi\)
\(480\) 0.625487 5.10480i 0.0285495 0.233001i
\(481\) 8.92434 + 13.8865i 0.406915 + 0.633172i
\(482\) −2.34501 −0.106812
\(483\) 16.2757 + 28.9741i 0.740571 + 1.31837i
\(484\) −0.0265826 −0.00120830
\(485\) −10.7252 16.6887i −0.487005 0.757794i
\(486\) 0.598588 15.5770i 0.0271525 0.706585i
\(487\) −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
\(489\) −3.42405 + 1.65095i −0.154841 + 0.0746587i
\(490\) −20.2094 + 17.5115i −0.912966 + 0.791089i
\(491\) −37.1255 + 5.33784i −1.67545 + 0.240893i −0.913528 0.406775i \(-0.866653\pi\)
−0.761922 + 0.647668i \(0.775744\pi\)
\(492\) 1.90560 + 0.516577i 0.0859112 + 0.0232891i
\(493\) 1.71763 + 1.48833i 0.0773580 + 0.0670311i
\(494\) −8.23464 5.29208i −0.370494 0.238102i
\(495\) −25.5300 14.9394i −1.14749 0.671474i
\(496\) 5.10212 5.88816i 0.229092 0.264386i
\(497\) 48.2115 + 14.1562i 2.16258 + 0.634992i
\(498\) −1.73862 10.5272i −0.0779095 0.471735i
\(499\) −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
\(501\) 21.0921 6.67456i 0.942327 0.298197i
\(502\) 9.19348 + 4.19852i 0.410325 + 0.187389i
\(503\) 3.03450 21.1054i 0.135302 0.941045i −0.803185 0.595730i \(-0.796863\pi\)
0.938487 0.345315i \(-0.112228\pi\)
\(504\) 9.81719 6.90469i 0.437292 0.307559i
\(505\) 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 \(-0.0545497\pi\)
0.897393 + 0.441233i \(0.145459\pi\)
\(510\) −0.685893 + 1.58887i −0.0303719 + 0.0703562i
\(511\) 12.3742 + 42.1427i 0.547403 + 1.86429i
\(512\) −0.909632 + 0.415415i −0.0402004 + 0.0183589i
\(513\) 17.7271 + 18.0406i 0.782669 + 0.796511i
\(514\) 0.234256 + 1.62928i 0.0103326 + 0.0718646i
\(515\) −5.79330 + 19.7302i −0.255283 + 0.869415i
\(516\) −0.491889 + 0.592213i −0.0216542 + 0.0260707i
\(517\) −14.9563 + 23.2724i −0.657777 + 1.02352i
\(518\) 17.7544 27.6264i 0.780084 1.21383i
\(519\) 18.9269 22.7871i 0.830798 1.00024i
\(520\) 1.68228 5.72933i 0.0737729 0.251248i
\(521\) −2.73795 19.0428i −0.119952 0.834282i −0.957606 0.288081i \(-0.906983\pi\)
0.837654 0.546201i \(-0.183926\pi\)
\(522\) 13.8968 + 14.7461i 0.608245 + 0.645419i
\(523\) 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
\(525\) 10.4822 24.2820i 0.457482 1.05975i
\(526\) −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
\(531\) −7.72332 10.9811i −0.335164 0.476541i
\(532\) −2.77139 + 19.2755i −0.120155 + 0.835698i
\(533\) 2.08518 + 0.952269i 0.0903191 + 0.0412474i
\(534\) 18.9444 5.99492i 0.819805 0.259426i
\(535\) −1.41486 3.09811i −0.0611696 0.133943i
\(536\) 8.44365 + 9.74450i 0.364710 + 0.420898i
\(537\) −4.75795 28.8090i −0.205321 1.24320i
\(538\) −9.34868 2.74502i −0.403050 0.118346i
\(539\) 19.5835 22.6005i 0.843520 0.973474i
\(540\) −7.51271 + 13.4763i −0.323296 + 0.579929i
\(541\) −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
\(543\) 37.8081 + 10.2492i 1.62250 + 0.439833i
\(544\) 0.333071 0.0478884i 0.0142803 0.00205320i
\(545\) 24.3915 21.1353i 1.04482 0.905338i
\(546\) 12.5521 6.05217i 0.537180 0.259009i
\(547\) −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
\(549\) 22.2270 + 2.25357i 0.948625 + 0.0961798i
\(550\) 6.85208 + 10.6620i 0.292174 + 0.454631i
\(551\) −32.8762 −1.40057
\(552\) −0.493051 + 8.29198i −0.0209856 + 0.352930i
\(553\) −62.6151 −2.66267
\(554\) 1.06344 + 1.65474i 0.0451812 + 0.0703033i
\(555\) −5.13426 + 41.9023i −0.217937 + 1.77866i
\(556\) −8.33485 + 18.2508i −0.353477 + 0.774006i
\(557\) 18.1238 5.32163i 0.767931 0.225485i 0.125775 0.992059i \(-0.459858\pi\)
0.642156 + 0.766574i \(0.278040\pi\)
\(558\) −20.8374 + 10.5888i −0.882118 + 0.448258i
\(559\) −0.675510 + 0.585333i −0.0285710 + 0.0247569i
\(560\) −11.7584 + 1.69061i −0.496884 + 0.0714412i
\(561\) 0.506367 1.86794i 0.0213788 0.0788645i
\(562\) 5.21356 + 4.51758i 0.219921 + 0.190562i
\(563\) 23.9202 + 15.3726i 1.00812 + 0.647878i 0.936905 0.349583i \(-0.113677\pi\)
0.0712125 + 0.997461i \(0.477313\pi\)
\(564\) 12.2992 + 7.54613i 0.517890 + 0.317749i
\(565\) 8.70148 10.0420i 0.366074 0.422472i
\(566\) 10.7699 + 3.16232i 0.452692 + 0.132922i
\(567\) −35.0883 + 8.07933i −1.47357 + 0.339300i
\(568\) 8.22470 + 9.49181i 0.345101 + 0.398267i
\(569\) −13.9582 30.5643i −0.585160 1.28132i −0.938323 0.345760i \(-0.887621\pi\)
0.353163 0.935562i \(-0.385106\pi\)
\(570\) −7.55272 23.8672i −0.316349 0.999686i
\(571\) 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
\(573\) 7.58242 + 11.2738i 0.316760 + 0.470971i
\(574\) 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
\(579\) −7.21930 3.11648i −0.300024 0.129516i
\(580\) −5.65018 19.2427i −0.234611 0.799011i
\(581\) −22.4181 + 10.2380i −0.930061 + 0.424744i
\(582\) 8.58529 7.75885i 0.355872 0.321615i
\(583\) −0.419793 2.91972i −0.0173860 0.120922i
\(584\) −3.09300 + 10.5338i −0.127989 + 0.435891i
\(585\) −11.1556 + 14.0161i −0.461225 + 0.579494i
\(586\) 6.20464 9.65460i 0.256311 0.398828i
\(587\) −3.26296 + 5.07727i −0.134677 + 0.209561i −0.902041 0.431650i \(-0.857932\pi\)
0.767364 + 0.641211i \(0.221568\pi\)
\(588\) −11.9992 9.96647i −0.494838 0.411010i
\(589\) 10.6844 36.3876i 0.440242 1.49933i
\(590\) 1.89105 + 13.1525i 0.0778533 + 0.541481i
\(591\) −6.36770 7.04596i −0.261932 0.289832i
\(592\) 7.46664 3.40990i 0.306877 0.140146i
\(593\) 0.946543 + 3.22363i 0.0388699 + 0.132379i 0.976642 0.214872i \(-0.0689335\pi\)
−0.937772 + 0.347251i \(0.887115\pi\)
\(594\) 6.17130 16.1131i 0.253212 0.661129i
\(595\) 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 \(0.828961\pi\)
\(600\) 5.48553 3.68939i 0.223946 0.150619i
\(601\) −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
\(603\) −12.4376 36.6273i −0.506500 1.49158i
\(604\) −1.18999 2.60571i −0.0484199 0.106025i
\(605\) −0.0516893 0.0596526i −0.00210147 0.00242522i
\(606\) 0.985127 0.162699i 0.0400180 0.00660919i
\(607\) 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
\(609\) 24.4759 39.8925i 0.991813 1.61653i
\(610\) −18.6021 11.9548i −0.753176 0.484037i
\(611\) 12.6614 + 10.9711i 0.512224 + 0.443844i
\(612\) −0.979625 0.243725i −0.0395990 0.00985198i
\(613\) 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
\(615\) 2.54618 + 5.28074i 0.102672 + 0.212940i
\(616\) 12.7468 3.74279i 0.513582 0.150801i
\(617\) 14.9187 32.6675i 0.600606 1.31514i −0.328212 0.944604i \(-0.606446\pi\)
0.928817 0.370538i \(-0.120827\pi\)
\(618\) −11.9058 1.45881i −0.478922 0.0586820i
\(619\) 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
\(621\) 10.7502 22.4818i 0.431391 0.902165i
\(622\) 28.3360 1.13617
\(623\) −24.8137 38.6109i −0.994140 1.54691i
\(624\) 3.45726 + 0.423616i 0.138401 + 0.0169582i
\(625\) −12.2615 + 26.8489i −0.490459 + 1.07395i
\(626\) −12.7626 + 3.74744i −0.510096 + 0.149778i
\(627\) 12.1589 + 25.2174i 0.485581 + 1.00709i
\(628\) 3.35369 2.90599i 0.133827 0.115962i
\(629\) −2.73399 + 0.393088i −0.109011 + 0.0156734i
\(630\) 34.5838 + 8.60422i 1.37785 + 0.342800i
\(631\) −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
\(633\) 1.19862 1.95360i 0.0476409 0.0776485i
\(634\) −3.88830 + 4.48734i −0.154424 + 0.178215i
\(635\) −29.8543 8.76600i −1.18473 0.347868i
\(636\) −1.51803 + 0.250711i −0.0601939 + 0.00994134i
\(637\) −11.8598 13.6869i −0.469902 0.542296i
\(638\) 9.31695 + 20.4013i 0.368862 + 0.807694i
\(639\) −12.1151 35.6775i −0.479267 1.41138i
\(640\) −2.70097 1.23349i −0.106765 0.0487581i
\(641\) −4.08684 + 28.4246i −0.161421 + 1.12270i 0.734538 + 0.678567i \(0.237399\pi\)
−0.895959 + 0.444137i \(0.853510\pi\)
\(642\) 1.64855 1.10876i 0.0650630 0.0437593i
\(643\) 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 0.896443 0.443158i \(-0.146142\pi\)
0.735279 + 0.677764i \(0.237051\pi\)
\(648\) −8.47002 3.04281i −0.332734 0.119533i
\(649\) −4.18655 14.2581i −0.164336 0.559678i
\(650\) 6.98179 3.18848i 0.273848 0.125062i
\(651\) 36.1990 + 40.0548i 1.41875 + 1.56987i
\(652\) 0.312335 + 2.17234i 0.0122320 + 0.0850752i
\(653\) −8.75808 + 29.8273i −0.342730 + 1.16723i 0.590225 + 0.807239i \(0.299039\pi\)
−0.932955 + 0.359993i \(0.882779\pi\)
\(654\) 14.4823 + 12.0289i 0.566303 + 0.470368i
\(655\) −15.6762 + 24.3927i −0.612520 + 0.953100i
\(656\) 0.616281 0.958952i 0.0240617 0.0374408i
\(657\) 20.5103 25.7696i 0.800183 1.00537i
\(658\) 9.39009 31.9797i 0.366064 1.24670i
\(659\) −1.41394 9.83414i −0.0550791 0.383084i −0.998651 0.0519171i \(-0.983467\pi\)
0.943572 0.331167i \(-0.107442\pi\)
\(660\) −12.6703 + 11.4507i −0.493193 + 0.445717i
\(661\) 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
\(663\) −1.07607 0.464526i −0.0417912 0.0180407i
\(664\) −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
\(669\) 5.07133 + 7.54025i 0.196069 + 0.291523i
\(670\) −5.44861 + 37.8959i −0.210498 + 1.46405i
\(671\) 22.4940 + 10.2727i 0.868371 + 0.396572i
\(672\) −2.09063 6.60655i −0.0806478 0.254853i
\(673\) 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
\(675\) −19.4154 + 4.04565i −0.747298 + 0.155717i
\(676\) −8.59318 2.52319i −0.330507 0.0970456i
\(677\) 6.25498 7.21864i 0.240399 0.277435i −0.622710 0.782452i \(-0.713969\pi\)
0.863109 + 0.505018i \(0.168514\pi\)
\(678\) 6.60651 + 4.05340i 0.253722 + 0.155670i
\(679\) −22.4857 14.4507i −0.862921 0.554566i
\(680\) 0.755113 + 0.654309i 0.0289573 + 0.0250916i
\(681\) 0.167460 0.617745i 0.00641709 0.0236720i
\(682\) −25.6082 + 3.68191i −0.980589 + 0.140987i
\(683\) −26.7419 + 23.1720i −1.02325 + 0.886651i −0.993605 0.112909i \(-0.963983\pi\)
−0.0296448 + 0.999560i \(0.509438\pi\)
\(684\) 13.0182 6.61536i 0.497764 0.252944i
\(685\) −26.5904 + 7.80763i −1.01597 + 0.298314i
\(686\) −3.33349 + 7.29933i −0.127273 + 0.278690i
\(687\) 5.13027 41.8697i 0.195732 1.59743i
\(688\) 0.240301 + 0.373915i 0.00916138 + 0.0142554i
\(689\) −1.78637 −0.0680553
\(690\) −19.5663 + 15.0171i −0.744877 + 0.571693i
\(691\) −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
\(693\) −39.6514 4.02021i −1.50623 0.152715i
\(694\) −5.27919 + 11.5598i −0.200395 + 0.438805i
\(695\) −57.1626 + 16.7844i −2.16830 + 0.636670i
\(696\) 10.5376 5.08085i 0.399426 0.192589i
\(697\) −0.289886 + 0.251188i −0.0109802 + 0.00951442i
\(698\) −19.6675 + 2.82775i −0.744424 + 0.107032i
\(699\) −2.91697 0.790742i −0.110330 0.0299086i
\(700\) −11.5401 9.99955i −0.436175 0.377947i
\(701\) −25.1960 16.1925i −0.951641 0.611583i −0.0299686 0.999551i \(-0.509541\pi\)
−0.921673 + 0.387968i \(0.873177\pi\)
\(702\) −9.12693 5.08804i −0.344474 0.192036i
\(703\) 26.1649 30.1959i 0.986826 1.13886i
\(704\) 3.18612 + 0.935530i 0.120081 + 0.0352591i
\(705\) 6.98166 + 42.2733i 0.262944 + 1.59210i
\(706\) 17.6337 + 20.3504i 0.663652 + 0.765896i
\(707\) −0.958066 2.09787i −0.0360318 0.0788986i
\(708\) −7.38984 + 2.33850i −0.277727 + 0.0878862i
\(709\) −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
\(711\) 27.0114 + 38.4052i 1.01301 + 1.44031i
\(712\) 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
\(717\) −16.9387 + 39.2384i −0.632587 + 1.46538i
\(718\) 0.875389 + 2.98130i 0.0326692 + 0.111261i
\(719\) 22.9762 10.4929i 0.856868 0.391319i 0.0619820 0.998077i \(-0.480258\pi\)
0.794886 + 0.606759i \(0.207531\pi\)
\(720\) 6.10938 + 6.48276i 0.227683 + 0.241598i
\(721\) 3.94297 + 27.4239i 0.146844 + 1.02132i
\(722\) −1.32217 + 4.50290i −0.0492061 + 0.167581i
\(723\) 2.59517 3.12447i 0.0965153 0.116200i
\(724\) 12.2273 19.0261i 0.454425 0.707100i
\(725\) 13.9371 21.6866i 0.517612 0.805420i
\(726\) 0.0294183 0.0354184i 0.00109182 0.00131450i
\(727\) 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
\(729\) 20.0922 + 18.0362i 0.744154 + 0.668008i
\(730\) −29.6526 + 13.5419i −1.09749 + 0.501208i
\(731\) −0.0421370 0.143505i −0.00155849 0.00530774i
\(732\) 5.11214 11.8422i 0.188950 0.437702i
\(733\) 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
\(738\) −2.79717 + 1.96732i −0.102965 + 0.0724182i
\(739\) −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
\(741\) 16.1642 5.11513i 0.593807 0.187909i
\(742\) 1.47633 + 3.23272i 0.0541979 + 0.118677i
\(743\) −3.48982 4.02746i −0.128029 0.147753i 0.688116 0.725601i \(-0.258438\pi\)
−0.816145 + 0.577848i \(0.803893\pi\)
\(744\) 2.19893 + 13.3143i 0.0806167 + 0.488127i
\(745\) 4.14376 + 1.21672i 0.151816 + 0.0445771i
\(746\) 7.69472 8.88018i 0.281724 0.325126i
\(747\) 15.9504 + 9.33368i 0.583595 + 0.341501i
\(748\) −0.939999 0.604101i −0.0343698 0.0220881i
\(749\) −3.46811 3.00513i −0.126722 0.109805i
\(750\) −5.87347 1.59220i −0.214469 0.0581389i
\(751\) 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
\(753\) −15.7683 + 7.60290i −0.574628 + 0.277065i
\(754\) 13.0323 3.82662i 0.474608 0.139357i
\(755\) 3.53343 7.73713i 0.128595 0.281583i
\(756\) −1.66472 + 20.7216i −0.0605452 + 0.753637i
\(757\) 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
\(759\) 19.2687 19.7371i 0.699408 0.716411i
\(760\) −14.4532 −0.524273
\(761\) 22.6031 + 35.1712i 0.819363 + 1.27495i 0.958618 + 0.284697i \(0.0918929\pi\)
−0.139255 + 0.990257i \(0.544471\pi\)
\(762\) 2.20737 18.0150i 0.0799645 0.652616i
\(763\) 18.0645 39.5558i 0.653979 1.43202i
\(764\) 7.52642 2.20996i 0.272296 0.0799534i
\(765\) −1.35793 2.67224i −0.0490961 0.0966151i
\(766\) 13.5766 11.7642i 0.490542 0.425057i
\(767\) −8.90765 + 1.28073i −0.321636 + 0.0462443i
\(768\) 0.453174 1.67172i 0.0163525 0.0603228i
\(769\) 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
\(771\) −2.43009 1.49097i −0.0875175 0.0536960i
\(772\) −2.97297 + 3.43099i −0.106999 +