Properties

Label 585.2.i.h.196.7
Level $585$
Weight $2$
Character 585.196
Analytic conductor $4.671$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 585 = 3^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 585.i (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.67124851824\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(15\) over \(\Q(\zeta_{3})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 196.7
Character \(\chi\) \(=\) 585.196
Dual form 585.2.i.h.391.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.264400 + 0.457954i) q^{2} +(1.72073 - 0.197726i) q^{3} +(0.860185 + 1.48988i) q^{4} +(0.500000 + 0.866025i) q^{5} +(-0.364411 + 0.840293i) q^{6} +(-1.64961 + 2.85721i) q^{7} -1.96733 q^{8} +(2.92181 - 0.680465i) q^{9} +O(q^{10})\) \(q+(-0.264400 + 0.457954i) q^{2} +(1.72073 - 0.197726i) q^{3} +(0.860185 + 1.48988i) q^{4} +(0.500000 + 0.866025i) q^{5} +(-0.364411 + 0.840293i) q^{6} +(-1.64961 + 2.85721i) q^{7} -1.96733 q^{8} +(2.92181 - 0.680465i) q^{9} -0.528800 q^{10} +(0.276109 - 0.478235i) q^{11} +(1.77473 + 2.39361i) q^{12} +(-0.500000 - 0.866025i) q^{13} +(-0.872313 - 1.51089i) q^{14} +(1.03160 + 1.39133i) q^{15} +(-1.20021 + 2.07882i) q^{16} +6.44948 q^{17} +(-0.460904 + 1.51797i) q^{18} -7.62544 q^{19} +(-0.860185 + 1.48988i) q^{20} +(-2.27358 + 5.24265i) q^{21} +(0.146006 + 0.252891i) q^{22} +(1.05742 + 1.83151i) q^{23} +(-3.38524 + 0.388992i) q^{24} +(-0.500000 + 0.866025i) q^{25} +0.528800 q^{26} +(4.89309 - 1.74861i) q^{27} -5.67588 q^{28} +(-0.658520 + 1.14059i) q^{29} +(-0.909921 + 0.104557i) q^{30} +(-4.07808 - 7.06344i) q^{31} +(-2.60200 - 4.50680i) q^{32} +(0.380549 - 0.877506i) q^{33} +(-1.70524 + 2.95357i) q^{34} -3.29922 q^{35} +(3.52711 + 3.76783i) q^{36} +8.74375 q^{37} +(2.01617 - 3.49210i) q^{38} +(-1.03160 - 1.39133i) q^{39} +(-0.983666 - 1.70376i) q^{40} +(4.67562 + 8.09842i) q^{41} +(-1.79976 - 2.42735i) q^{42} +(3.37267 - 5.84163i) q^{43} +0.950020 q^{44} +(2.05020 + 2.19013i) q^{45} -1.11833 q^{46} +(2.84773 - 4.93241i) q^{47} +(-1.65420 + 3.81440i) q^{48} +(-1.94242 - 3.36437i) q^{49} +(-0.264400 - 0.457954i) q^{50} +(11.0978 - 1.27523i) q^{51} +(0.860185 - 1.48988i) q^{52} -4.88532 q^{53} +(-0.492949 + 2.70314i) q^{54} +0.552218 q^{55} +(3.24533 - 5.62107i) q^{56} +(-13.1213 + 1.50775i) q^{57} +(-0.348225 - 0.603144i) q^{58} +(-0.860957 - 1.49122i) q^{59} +(-1.18556 + 2.73377i) q^{60} +(-0.714433 + 1.23743i) q^{61} +4.31298 q^{62} +(-2.87561 + 9.47071i) q^{63} -2.04896 q^{64} +(0.500000 - 0.866025i) q^{65} +(0.301240 + 0.406287i) q^{66} +(-0.567134 - 0.982304i) q^{67} +(5.54775 + 9.60898i) q^{68} +(2.18167 + 2.94245i) q^{69} +(0.872313 - 1.51089i) q^{70} +8.65531 q^{71} +(-5.74817 + 1.33870i) q^{72} +3.42341 q^{73} +(-2.31185 + 4.00424i) q^{74} +(-0.689128 + 1.58906i) q^{75} +(-6.55929 - 11.3610i) q^{76} +(0.910944 + 1.57780i) q^{77} +(0.909921 - 0.104557i) q^{78} +(-5.38562 + 9.32817i) q^{79} -2.40042 q^{80} +(8.07393 - 3.97638i) q^{81} -4.94494 q^{82} +(5.45979 - 9.45663i) q^{83} +(-9.76664 + 1.12227i) q^{84} +(3.22474 + 5.58541i) q^{85} +(1.78347 + 3.08905i) q^{86} +(-0.907610 + 2.09285i) q^{87} +(-0.543198 + 0.940847i) q^{88} +8.64261 q^{89} +(-1.54505 + 0.359830i) q^{90} +3.29922 q^{91} +(-1.81916 + 3.15087i) q^{92} +(-8.41389 - 11.3479i) q^{93} +(1.50588 + 2.60826i) q^{94} +(-3.81272 - 6.60383i) q^{95} +(-5.36845 - 7.24049i) q^{96} +(-3.18971 + 5.52473i) q^{97} +2.05430 q^{98} +(0.481316 - 1.58519i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30 q + q^{2} + q^{3} - 21 q^{4} + 15 q^{5} - 9 q^{6} - 10 q^{7} + q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 30 q + q^{2} + q^{3} - 21 q^{4} + 15 q^{5} - 9 q^{6} - 10 q^{7} + q^{9} + 2 q^{10} + 9 q^{11} + 18 q^{12} - 15 q^{13} + 3 q^{14} + 2 q^{15} - 33 q^{16} + 6 q^{17} + 9 q^{18} + 30 q^{19} + 21 q^{20} + 9 q^{21} - 10 q^{22} - 6 q^{23} + 24 q^{24} - 15 q^{25} - 2 q^{26} - 2 q^{27} + 70 q^{28} + 8 q^{29} - 6 q^{30} - 22 q^{31} + 21 q^{32} - 20 q^{33} - 9 q^{34} - 20 q^{35} - 7 q^{36} + 8 q^{37} - 14 q^{38} - 2 q^{39} + 13 q^{41} + 21 q^{42} - 24 q^{43} + 10 q^{44} - 7 q^{45} - 6 q^{46} - q^{47} - 27 q^{48} - 37 q^{49} + q^{50} - q^{51} - 21 q^{52} + 14 q^{53} - 24 q^{54} + 18 q^{55} + 17 q^{56} - 55 q^{57} - 22 q^{58} + 19 q^{59} + 9 q^{60} - 16 q^{61} + 26 q^{62} + 4 q^{63} + 72 q^{64} + 15 q^{65} + 24 q^{66} - 11 q^{67} - 28 q^{68} + 44 q^{69} - 3 q^{70} - 56 q^{71} - 18 q^{72} + 52 q^{73} + 8 q^{74} + q^{75} - 18 q^{76} - 24 q^{77} + 6 q^{78} - 44 q^{79} - 66 q^{80} + 37 q^{81} + 70 q^{82} - 3 q^{83} - 139 q^{84} + 3 q^{85} + 40 q^{86} + 60 q^{87} - 37 q^{88} - 8 q^{89} - 12 q^{90} + 20 q^{91} - 74 q^{92} - 55 q^{93} - 2 q^{94} + 15 q^{95} + 55 q^{96} - 33 q^{97} + 6 q^{98} + 26 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).

\(n\) \(326\) \(352\) \(496\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.264400 + 0.457954i −0.186959 + 0.323822i −0.944235 0.329273i \(-0.893196\pi\)
0.757276 + 0.653095i \(0.226530\pi\)
\(3\) 1.72073 0.197726i 0.993463 0.114157i
\(4\) 0.860185 + 1.48988i 0.430093 + 0.744942i
\(5\) 0.500000 + 0.866025i 0.223607 + 0.387298i
\(6\) −0.364411 + 0.840293i −0.148770 + 0.343048i
\(7\) −1.64961 + 2.85721i −0.623494 + 1.07992i 0.365337 + 0.930876i \(0.380954\pi\)
−0.988830 + 0.149047i \(0.952379\pi\)
\(8\) −1.96733 −0.695557
\(9\) 2.92181 0.680465i 0.973936 0.226822i
\(10\) −0.528800 −0.167221
\(11\) 0.276109 0.478235i 0.0832500 0.144193i −0.821394 0.570361i \(-0.806803\pi\)
0.904644 + 0.426168i \(0.140137\pi\)
\(12\) 1.77473 + 2.39361i 0.512322 + 0.690974i
\(13\) −0.500000 0.866025i −0.138675 0.240192i
\(14\) −0.872313 1.51089i −0.233135 0.403802i
\(15\) 1.03160 + 1.39133i 0.266358 + 0.359240i
\(16\) −1.20021 + 2.07882i −0.300052 + 0.519706i
\(17\) 6.44948 1.56423 0.782114 0.623135i \(-0.214141\pi\)
0.782114 + 0.623135i \(0.214141\pi\)
\(18\) −0.460904 + 1.51797i −0.108636 + 0.357789i
\(19\) −7.62544 −1.74940 −0.874698 0.484668i \(-0.838941\pi\)
−0.874698 + 0.484668i \(0.838941\pi\)
\(20\) −0.860185 + 1.48988i −0.192343 + 0.333148i
\(21\) −2.27358 + 5.24265i −0.496137 + 1.14404i
\(22\) 0.146006 + 0.252891i 0.0311287 + 0.0539165i
\(23\) 1.05742 + 1.83151i 0.220488 + 0.381896i 0.954956 0.296747i \(-0.0959018\pi\)
−0.734468 + 0.678643i \(0.762568\pi\)
\(24\) −3.38524 + 0.388992i −0.691010 + 0.0794027i
\(25\) −0.500000 + 0.866025i −0.100000 + 0.173205i
\(26\) 0.528800 0.103706
\(27\) 4.89309 1.74861i 0.941676 0.336521i
\(28\) −5.67588 −1.07264
\(29\) −0.658520 + 1.14059i −0.122284 + 0.211802i −0.920668 0.390346i \(-0.872355\pi\)
0.798384 + 0.602149i \(0.205689\pi\)
\(30\) −0.909921 + 0.104557i −0.166128 + 0.0190895i
\(31\) −4.07808 7.06344i −0.732445 1.26863i −0.955835 0.293903i \(-0.905046\pi\)
0.223390 0.974729i \(-0.428288\pi\)
\(32\) −2.60200 4.50680i −0.459973 0.796697i
\(33\) 0.380549 0.877506i 0.0662451 0.152754i
\(34\) −1.70524 + 2.95357i −0.292447 + 0.506532i
\(35\) −3.29922 −0.557670
\(36\) 3.52711 + 3.76783i 0.587852 + 0.627972i
\(37\) 8.74375 1.43746 0.718732 0.695287i \(-0.244723\pi\)
0.718732 + 0.695287i \(0.244723\pi\)
\(38\) 2.01617 3.49210i 0.327065 0.566494i
\(39\) −1.03160 1.39133i −0.165188 0.222791i
\(40\) −0.983666 1.70376i −0.155531 0.269388i
\(41\) 4.67562 + 8.09842i 0.730210 + 1.26476i 0.956793 + 0.290768i \(0.0939109\pi\)
−0.226584 + 0.973992i \(0.572756\pi\)
\(42\) −1.79976 2.42735i −0.277708 0.374549i
\(43\) 3.37267 5.84163i 0.514327 0.890840i −0.485535 0.874217i \(-0.661375\pi\)
0.999862 0.0166231i \(-0.00529153\pi\)
\(44\) 0.950020 0.143221
\(45\) 2.05020 + 2.19013i 0.305626 + 0.326485i
\(46\) −1.11833 −0.164889
\(47\) 2.84773 4.93241i 0.415384 0.719466i −0.580085 0.814556i \(-0.696981\pi\)
0.995469 + 0.0950904i \(0.0303140\pi\)
\(48\) −1.65420 + 3.81440i −0.238763 + 0.550561i
\(49\) −1.94242 3.36437i −0.277488 0.480624i
\(50\) −0.264400 0.457954i −0.0373918 0.0647645i
\(51\) 11.0978 1.27523i 1.55400 0.178568i
\(52\) 0.860185 1.48988i 0.119286 0.206610i
\(53\) −4.88532 −0.671050 −0.335525 0.942031i \(-0.608914\pi\)
−0.335525 + 0.942031i \(0.608914\pi\)
\(54\) −0.492949 + 2.70314i −0.0670818 + 0.367851i
\(55\) 0.552218 0.0744611
\(56\) 3.24533 5.62107i 0.433675 0.751147i
\(57\) −13.1213 + 1.50775i −1.73796 + 0.199706i
\(58\) −0.348225 0.603144i −0.0457242 0.0791967i
\(59\) −0.860957 1.49122i −0.112087 0.194140i 0.804525 0.593919i \(-0.202420\pi\)
−0.916612 + 0.399779i \(0.869087\pi\)
\(60\) −1.18556 + 2.73377i −0.153055 + 0.352928i
\(61\) −0.714433 + 1.23743i −0.0914738 + 0.158437i −0.908131 0.418685i \(-0.862491\pi\)
0.816658 + 0.577122i \(0.195824\pi\)
\(62\) 4.31298 0.547749
\(63\) −2.87561 + 9.47071i −0.362293 + 1.19320i
\(64\) −2.04896 −0.256120
\(65\) 0.500000 0.866025i 0.0620174 0.107417i
\(66\) 0.301240 + 0.406287i 0.0370801 + 0.0500104i
\(67\) −0.567134 0.982304i −0.0692864 0.120008i 0.829301 0.558802i \(-0.188739\pi\)
−0.898587 + 0.438795i \(0.855406\pi\)
\(68\) 5.54775 + 9.60898i 0.672763 + 1.16526i
\(69\) 2.18167 + 2.94245i 0.262642 + 0.354229i
\(70\) 0.872313 1.51089i 0.104261 0.180586i
\(71\) 8.65531 1.02720 0.513598 0.858031i \(-0.328312\pi\)
0.513598 + 0.858031i \(0.328312\pi\)
\(72\) −5.74817 + 1.33870i −0.677428 + 0.157767i
\(73\) 3.42341 0.400679 0.200340 0.979726i \(-0.435795\pi\)
0.200340 + 0.979726i \(0.435795\pi\)
\(74\) −2.31185 + 4.00424i −0.268747 + 0.465483i
\(75\) −0.689128 + 1.58906i −0.0795737 + 0.183489i
\(76\) −6.55929 11.3610i −0.752403 1.30320i
\(77\) 0.910944 + 1.57780i 0.103812 + 0.179807i
\(78\) 0.909921 0.104557i 0.103028 0.0118388i
\(79\) −5.38562 + 9.32817i −0.605930 + 1.04950i 0.385974 + 0.922510i \(0.373865\pi\)
−0.991904 + 0.126991i \(0.959468\pi\)
\(80\) −2.40042 −0.268375
\(81\) 8.07393 3.97638i 0.897104 0.441820i
\(82\) −4.94494 −0.546077
\(83\) 5.45979 9.45663i 0.599290 1.03800i −0.393636 0.919266i \(-0.628783\pi\)
0.992926 0.118734i \(-0.0378836\pi\)
\(84\) −9.76664 + 1.12227i −1.06563 + 0.122450i
\(85\) 3.22474 + 5.58541i 0.349772 + 0.605823i
\(86\) 1.78347 + 3.08905i 0.192316 + 0.333101i
\(87\) −0.907610 + 2.09285i −0.0973060 + 0.224377i
\(88\) −0.543198 + 0.940847i −0.0579051 + 0.100295i
\(89\) 8.64261 0.916114 0.458057 0.888923i \(-0.348545\pi\)
0.458057 + 0.888923i \(0.348545\pi\)
\(90\) −1.54505 + 0.359830i −0.162863 + 0.0379294i
\(91\) 3.29922 0.345852
\(92\) −1.81916 + 3.15087i −0.189660 + 0.328501i
\(93\) −8.41389 11.3479i −0.872480 1.17672i
\(94\) 1.50588 + 2.60826i 0.155319 + 0.269021i
\(95\) −3.81272 6.60383i −0.391177 0.677538i
\(96\) −5.36845 7.24049i −0.547915 0.738979i
\(97\) −3.18971 + 5.52473i −0.323865 + 0.560951i −0.981282 0.192576i \(-0.938316\pi\)
0.657417 + 0.753527i \(0.271649\pi\)
\(98\) 2.05430 0.207516
\(99\) 0.481316 1.58519i 0.0483741 0.159318i
\(100\) −1.72037 −0.172037
\(101\) −0.440569 + 0.763089i −0.0438383 + 0.0759302i −0.887112 0.461554i \(-0.847292\pi\)
0.843274 + 0.537484i \(0.180625\pi\)
\(102\) −2.35026 + 5.41945i −0.232711 + 0.536606i
\(103\) −4.12581 7.14611i −0.406528 0.704127i 0.587970 0.808883i \(-0.299927\pi\)
−0.994498 + 0.104755i \(0.966594\pi\)
\(104\) 0.983666 + 1.70376i 0.0964563 + 0.167067i
\(105\) −5.67706 + 0.652341i −0.554024 + 0.0636620i
\(106\) 1.29168 2.23725i 0.125459 0.217301i
\(107\) 7.95638 0.769173 0.384586 0.923089i \(-0.374344\pi\)
0.384586 + 0.923089i \(0.374344\pi\)
\(108\) 6.81420 + 5.78601i 0.655697 + 0.556759i
\(109\) −9.28002 −0.888865 −0.444433 0.895812i \(-0.646595\pi\)
−0.444433 + 0.895812i \(0.646595\pi\)
\(110\) −0.146006 + 0.252891i −0.0139212 + 0.0241122i
\(111\) 15.0456 1.72887i 1.42807 0.164097i
\(112\) −3.95975 6.85849i −0.374161 0.648066i
\(113\) −3.15265 5.46056i −0.296577 0.513686i 0.678774 0.734347i \(-0.262512\pi\)
−0.975350 + 0.220662i \(0.929178\pi\)
\(114\) 2.77879 6.40761i 0.260258 0.600127i
\(115\) −1.05742 + 1.83151i −0.0986051 + 0.170789i
\(116\) −2.26580 −0.210374
\(117\) −2.05020 2.19013i −0.189541 0.202477i
\(118\) 0.910548 0.0838227
\(119\) −10.6391 + 18.4275i −0.975287 + 1.68925i
\(120\) −2.02950 2.73721i −0.185267 0.249872i
\(121\) 5.34753 + 9.26219i 0.486139 + 0.842017i
\(122\) −0.377792 0.654355i −0.0342037 0.0592425i
\(123\) 9.64674 + 13.0107i 0.869817 + 1.17313i
\(124\) 7.01581 12.1517i 0.630038 1.09126i
\(125\) −1.00000 −0.0894427
\(126\) −3.57684 3.82095i −0.318650 0.340398i
\(127\) 6.63912 0.589126 0.294563 0.955632i \(-0.404826\pi\)
0.294563 + 0.955632i \(0.404826\pi\)
\(128\) 5.74575 9.95193i 0.507857 0.879634i
\(129\) 4.64840 10.7187i 0.409269 0.943731i
\(130\) 0.264400 + 0.457954i 0.0231894 + 0.0401652i
\(131\) −9.95215 17.2376i −0.869524 1.50606i −0.862484 0.506084i \(-0.831093\pi\)
−0.00703934 0.999975i \(-0.502241\pi\)
\(132\) 1.63473 0.187844i 0.142285 0.0163497i
\(133\) 12.5790 21.7875i 1.09074 1.88921i
\(134\) 0.599800 0.0518149
\(135\) 3.96089 + 3.36324i 0.340899 + 0.289461i
\(136\) −12.6883 −1.08801
\(137\) 7.76926 13.4568i 0.663773 1.14969i −0.315843 0.948811i \(-0.602287\pi\)
0.979616 0.200877i \(-0.0643793\pi\)
\(138\) −1.92434 + 0.221123i −0.163811 + 0.0188232i
\(139\) −11.1218 19.2635i −0.943340 1.63391i −0.759042 0.651042i \(-0.774332\pi\)
−0.184297 0.982871i \(-0.559001\pi\)
\(140\) −2.83794 4.91545i −0.239850 0.415432i
\(141\) 3.92490 9.05040i 0.330536 0.762181i
\(142\) −2.28846 + 3.96373i −0.192044 + 0.332629i
\(143\) −0.552218 −0.0461788
\(144\) −2.09221 + 6.89062i −0.174351 + 0.574218i
\(145\) −1.31704 −0.109374
\(146\) −0.905148 + 1.56776i −0.0749106 + 0.129749i
\(147\) −4.00760 5.40510i −0.330541 0.445805i
\(148\) 7.52125 + 13.0272i 0.618243 + 1.07083i
\(149\) −7.02763 12.1722i −0.575726 0.997186i −0.995962 0.0897718i \(-0.971386\pi\)
0.420237 0.907415i \(-0.361947\pi\)
\(150\) −0.545510 0.735736i −0.0445407 0.0600726i
\(151\) −8.22137 + 14.2398i −0.669045 + 1.15882i 0.309126 + 0.951021i \(0.399963\pi\)
−0.978171 + 0.207799i \(0.933370\pi\)
\(152\) 15.0018 1.21680
\(153\) 18.8442 4.38865i 1.52346 0.354801i
\(154\) −0.963414 −0.0776341
\(155\) 4.07808 7.06344i 0.327559 0.567349i
\(156\) 1.18556 2.73377i 0.0949205 0.218877i
\(157\) 5.07918 + 8.79740i 0.405363 + 0.702109i 0.994364 0.106024i \(-0.0338119\pi\)
−0.589001 + 0.808132i \(0.700479\pi\)
\(158\) −2.84791 4.93273i −0.226568 0.392427i
\(159\) −8.40631 + 0.965955i −0.666664 + 0.0766052i
\(160\) 2.60200 4.50680i 0.205706 0.356294i
\(161\) −6.97733 −0.549891
\(162\) −0.313749 + 4.74884i −0.0246505 + 0.373104i
\(163\) 13.2149 1.03507 0.517535 0.855662i \(-0.326850\pi\)
0.517535 + 0.855662i \(0.326850\pi\)
\(164\) −8.04380 + 13.9323i −0.628116 + 1.08793i
\(165\) 0.950218 0.109188i 0.0739743 0.00850027i
\(166\) 2.88714 + 5.00067i 0.224085 + 0.388127i
\(167\) −0.0441173 0.0764134i −0.00341390 0.00591305i 0.864313 0.502954i \(-0.167753\pi\)
−0.867727 + 0.497041i \(0.834420\pi\)
\(168\) 4.47289 10.3140i 0.345091 0.795744i
\(169\) −0.500000 + 0.866025i −0.0384615 + 0.0666173i
\(170\) −3.41048 −0.261572
\(171\) −22.2801 + 5.18885i −1.70380 + 0.396801i
\(172\) 11.6045 0.884833
\(173\) −2.36616 + 4.09831i −0.179896 + 0.311589i −0.941845 0.336048i \(-0.890909\pi\)
0.761949 + 0.647637i \(0.224243\pi\)
\(174\) −0.718458 0.968994i −0.0544662 0.0734592i
\(175\) −1.64961 2.85721i −0.124699 0.215985i
\(176\) 0.662777 + 1.14796i 0.0499587 + 0.0865310i
\(177\) −1.77633 2.39575i −0.133517 0.180076i
\(178\) −2.28510 + 3.95792i −0.171276 + 0.296658i
\(179\) 1.08785 0.0813097 0.0406548 0.999173i \(-0.487056\pi\)
0.0406548 + 0.999173i \(0.487056\pi\)
\(180\) −1.49948 + 4.93848i −0.111765 + 0.368093i
\(181\) 2.66381 0.197999 0.0989997 0.995087i \(-0.468436\pi\)
0.0989997 + 0.995087i \(0.468436\pi\)
\(182\) −0.872313 + 1.51089i −0.0646601 + 0.111995i
\(183\) −0.984672 + 2.27055i −0.0727891 + 0.167844i
\(184\) −2.08030 3.60318i −0.153362 0.265630i
\(185\) 4.37187 + 7.57231i 0.321427 + 0.556727i
\(186\) 7.42146 0.852787i 0.544168 0.0625294i
\(187\) 1.78076 3.08437i 0.130222 0.225551i
\(188\) 9.79829 0.714614
\(189\) −3.07554 + 16.8651i −0.223713 + 1.22676i
\(190\) 4.03233 0.292536
\(191\) 7.77194 13.4614i 0.562358 0.974033i −0.434932 0.900463i \(-0.643228\pi\)
0.997290 0.0735693i \(-0.0234390\pi\)
\(192\) −3.52570 + 0.405132i −0.254446 + 0.0292379i
\(193\) −9.05801 15.6889i −0.652010 1.12931i −0.982634 0.185552i \(-0.940593\pi\)
0.330624 0.943762i \(-0.392741\pi\)
\(194\) −1.68672 2.92148i −0.121099 0.209750i
\(195\) 0.689128 1.58906i 0.0493495 0.113795i
\(196\) 3.34168 5.78796i 0.238691 0.413426i
\(197\) −22.6581 −1.61432 −0.807162 0.590330i \(-0.798998\pi\)
−0.807162 + 0.590330i \(0.798998\pi\)
\(198\) 0.598686 + 0.639546i 0.0425468 + 0.0454505i
\(199\) −15.9484 −1.13056 −0.565278 0.824901i \(-0.691231\pi\)
−0.565278 + 0.824901i \(0.691231\pi\)
\(200\) 0.983666 1.70376i 0.0695557 0.120474i
\(201\) −1.17011 1.57814i −0.0825332 0.111314i
\(202\) −0.232973 0.403521i −0.0163919 0.0283916i
\(203\) −2.17260 3.76306i −0.152487 0.264115i
\(204\) 11.4461 + 15.4375i 0.801388 + 1.08084i
\(205\) −4.67562 + 8.09842i −0.326560 + 0.565618i
\(206\) 4.36345 0.304016
\(207\) 4.33586 + 4.63178i 0.301363 + 0.321931i
\(208\) 2.40042 0.166439
\(209\) −2.10545 + 3.64675i −0.145637 + 0.252251i
\(210\) 1.20227 2.77231i 0.0829646 0.191308i
\(211\) −9.29744 16.1036i −0.640062 1.10862i −0.985418 0.170149i \(-0.945575\pi\)
0.345356 0.938472i \(-0.387758\pi\)
\(212\) −4.20228 7.27857i −0.288614 0.499894i
\(213\) 14.8934 1.71138i 1.02048 0.117262i
\(214\) −2.10367 + 3.64366i −0.143804 + 0.249075i
\(215\) 6.74533 0.460028
\(216\) −9.62633 + 3.44010i −0.654989 + 0.234069i
\(217\) 26.9090 1.82670
\(218\) 2.45364 4.24982i 0.166181 0.287834i
\(219\) 5.89075 0.676896i 0.398060 0.0457404i
\(220\) 0.475010 + 0.822742i 0.0320252 + 0.0554692i
\(221\) −3.22474 5.58541i −0.216920 0.375716i
\(222\) −3.18632 + 7.34731i −0.213852 + 0.493119i
\(223\) −8.22510 + 14.2463i −0.550793 + 0.954002i 0.447424 + 0.894322i \(0.352341\pi\)
−0.998218 + 0.0596803i \(0.980992\pi\)
\(224\) 17.1691 1.14716
\(225\) −0.871604 + 2.87059i −0.0581070 + 0.191373i
\(226\) 3.33424 0.221791
\(227\) −2.51598 + 4.35781i −0.166991 + 0.289238i −0.937361 0.348360i \(-0.886739\pi\)
0.770369 + 0.637598i \(0.220072\pi\)
\(228\) −13.5331 18.2523i −0.896254 1.20879i
\(229\) −3.98701 6.90571i −0.263469 0.456342i 0.703692 0.710505i \(-0.251533\pi\)
−0.967161 + 0.254163i \(0.918200\pi\)
\(230\) −0.559164 0.968501i −0.0368702 0.0638611i
\(231\) 1.87946 + 2.53485i 0.123659 + 0.166781i
\(232\) 1.29553 2.24392i 0.0850556 0.147321i
\(233\) −1.37152 −0.0898515 −0.0449257 0.998990i \(-0.514305\pi\)
−0.0449257 + 0.998990i \(0.514305\pi\)
\(234\) 1.54505 0.359830i 0.101003 0.0235228i
\(235\) 5.69545 0.371530
\(236\) 1.48117 2.56545i 0.0964156 0.166997i
\(237\) −7.42277 + 17.1161i −0.482160 + 1.11181i
\(238\) −5.62597 9.74446i −0.364677 0.631639i
\(239\) 10.6791 + 18.4967i 0.690772 + 1.19645i 0.971585 + 0.236690i \(0.0760625\pi\)
−0.280813 + 0.959762i \(0.590604\pi\)
\(240\) −4.13047 + 0.474625i −0.266620 + 0.0306369i
\(241\) −8.36953 + 14.4965i −0.539129 + 0.933799i 0.459822 + 0.888011i \(0.347913\pi\)
−0.998951 + 0.0457876i \(0.985420\pi\)
\(242\) −5.65554 −0.363552
\(243\) 13.1068 8.43869i 0.840802 0.541342i
\(244\) −2.45818 −0.157369
\(245\) 1.94242 3.36437i 0.124097 0.214942i
\(246\) −8.50889 + 0.977742i −0.542507 + 0.0623386i
\(247\) 3.81272 + 6.60383i 0.242598 + 0.420191i
\(248\) 8.02294 + 13.8961i 0.509457 + 0.882405i
\(249\) 7.52499 17.3518i 0.476877 1.09963i
\(250\) 0.264400 0.457954i 0.0167221 0.0289636i
\(251\) 23.9800 1.51360 0.756802 0.653644i \(-0.226761\pi\)
0.756802 + 0.653644i \(0.226761\pi\)
\(252\) −16.5838 + 3.86224i −1.04468 + 0.243298i
\(253\) 1.16786 0.0734224
\(254\) −1.75538 + 3.04041i −0.110142 + 0.190772i
\(255\) 6.65328 + 8.97336i 0.416645 + 0.561934i
\(256\) 0.989390 + 1.71367i 0.0618369 + 0.107105i
\(257\) −14.7624 25.5692i −0.920851 1.59496i −0.798102 0.602523i \(-0.794162\pi\)
−0.122749 0.992438i \(-0.539171\pi\)
\(258\) 3.67964 + 4.96278i 0.229085 + 0.308969i
\(259\) −14.4238 + 24.9827i −0.896249 + 1.55235i
\(260\) 1.72037 0.106693
\(261\) −1.14794 + 3.78069i −0.0710556 + 0.234019i
\(262\) 10.5254 0.650261
\(263\) −10.9241 + 18.9211i −0.673609 + 1.16673i 0.303264 + 0.952907i \(0.401924\pi\)
−0.976873 + 0.213819i \(0.931410\pi\)
\(264\) −0.748666 + 1.72635i −0.0460772 + 0.106249i
\(265\) −2.44266 4.23081i −0.150051 0.259897i
\(266\) 6.65177 + 11.5212i 0.407846 + 0.706410i
\(267\) 14.8716 1.70887i 0.910125 0.104581i
\(268\) 0.975680 1.68993i 0.0595992 0.103229i
\(269\) −30.1026 −1.83539 −0.917695 0.397286i \(-0.869952\pi\)
−0.917695 + 0.397286i \(0.869952\pi\)
\(270\) −2.58747 + 0.924666i −0.157468 + 0.0562734i
\(271\) 11.5977 0.704512 0.352256 0.935904i \(-0.385415\pi\)
0.352256 + 0.935904i \(0.385415\pi\)
\(272\) −7.74072 + 13.4073i −0.469350 + 0.812939i
\(273\) 5.67706 0.652341i 0.343591 0.0394815i
\(274\) 4.10839 + 7.11593i 0.248197 + 0.429889i
\(275\) 0.276109 + 0.478235i 0.0166500 + 0.0288387i
\(276\) −2.50727 + 5.78149i −0.150920 + 0.348005i
\(277\) −5.26326 + 9.11624i −0.316239 + 0.547742i −0.979700 0.200469i \(-0.935753\pi\)
0.663461 + 0.748211i \(0.269087\pi\)
\(278\) 11.7624 0.705463
\(279\) −16.7218 17.8630i −1.00111 1.06943i
\(280\) 6.49065 0.387891
\(281\) −4.50843 + 7.80883i −0.268950 + 0.465836i −0.968591 0.248659i \(-0.920010\pi\)
0.699641 + 0.714495i \(0.253343\pi\)
\(282\) 3.10692 + 4.19035i 0.185015 + 0.249532i
\(283\) 7.15938 + 12.4004i 0.425581 + 0.737128i 0.996475 0.0838959i \(-0.0267363\pi\)
−0.570893 + 0.821024i \(0.693403\pi\)
\(284\) 7.44517 + 12.8954i 0.441790 + 0.765202i
\(285\) −7.86640 10.6095i −0.465966 0.628453i
\(286\) 0.146006 0.252891i 0.00863354 0.0149537i
\(287\) −30.8518 −1.82112
\(288\) −10.6693 11.3974i −0.628693 0.671600i
\(289\) 24.5958 1.44681
\(290\) 0.348225 0.603144i 0.0204485 0.0354178i
\(291\) −4.39623 + 10.1372i −0.257712 + 0.594256i
\(292\) 2.94476 + 5.10048i 0.172329 + 0.298483i
\(293\) 15.2575 + 26.4268i 0.891354 + 1.54387i 0.838253 + 0.545281i \(0.183577\pi\)
0.0531004 + 0.998589i \(0.483090\pi\)
\(294\) 3.53489 0.406189i 0.206159 0.0236894i
\(295\) 0.860957 1.49122i 0.0501268 0.0868222i
\(296\) −17.2019 −0.999837
\(297\) 0.514780 2.82286i 0.0298706 0.163799i
\(298\) 7.43242 0.430548
\(299\) 1.05742 1.83151i 0.0611523 0.105919i
\(300\) −2.96029 + 0.340162i −0.170912 + 0.0196393i
\(301\) 11.1272 + 19.2728i 0.641359 + 1.11087i
\(302\) −4.34746 7.53002i −0.250168 0.433304i
\(303\) −0.607218 + 1.40018i −0.0348837 + 0.0804382i
\(304\) 9.15212 15.8519i 0.524910 0.909171i
\(305\) −1.42887 −0.0818167
\(306\) −2.97259 + 9.79011i −0.169932 + 0.559664i
\(307\) −8.50257 −0.485267 −0.242634 0.970118i \(-0.578011\pi\)
−0.242634 + 0.970118i \(0.578011\pi\)
\(308\) −1.56716 + 2.71440i −0.0892973 + 0.154668i
\(309\) −8.51237 11.4807i −0.484252 0.653116i
\(310\) 2.15649 + 3.73515i 0.122480 + 0.212142i
\(311\) −8.09674 14.0240i −0.459124 0.795226i 0.539791 0.841799i \(-0.318503\pi\)
−0.998915 + 0.0465733i \(0.985170\pi\)
\(312\) 2.02950 + 2.73721i 0.114898 + 0.154964i
\(313\) −13.7726 + 23.8548i −0.778471 + 1.34835i 0.154353 + 0.988016i \(0.450671\pi\)
−0.932823 + 0.360335i \(0.882662\pi\)
\(314\) −5.37174 −0.303145
\(315\) −9.63968 + 2.24500i −0.543135 + 0.126492i
\(316\) −18.5305 −1.04242
\(317\) −0.987970 + 1.71121i −0.0554899 + 0.0961114i −0.892436 0.451174i \(-0.851005\pi\)
0.836946 + 0.547285i \(0.184339\pi\)
\(318\) 1.78026 4.10510i 0.0998323 0.230203i
\(319\) 0.363647 + 0.629855i 0.0203603 + 0.0352651i
\(320\) −1.02448 1.77445i −0.0572702 0.0991948i
\(321\) 13.6908 1.57318i 0.764144 0.0878065i
\(322\) 1.84481 3.19530i 0.102807 0.178067i
\(323\) −49.1802 −2.73646
\(324\) 12.8694 + 8.60881i 0.714968 + 0.478267i
\(325\) 1.00000 0.0554700
\(326\) −3.49402 + 6.05182i −0.193516 + 0.335179i
\(327\) −15.9684 + 1.83490i −0.883054 + 0.101470i
\(328\) −9.19850 15.9323i −0.507902 0.879712i
\(329\) 9.39527 + 16.2731i 0.517978 + 0.897164i
\(330\) −0.201234 + 0.464025i −0.0110776 + 0.0255437i
\(331\) −8.95389 + 15.5086i −0.492150 + 0.852429i −0.999959 0.00904063i \(-0.997122\pi\)
0.507809 + 0.861470i \(0.330456\pi\)
\(332\) 18.7857 1.03100
\(333\) 25.5476 5.94982i 1.40000 0.326048i
\(334\) 0.0466584 0.00255304
\(335\) 0.567134 0.982304i 0.0309858 0.0536690i
\(336\) −8.16975 11.0186i −0.445697 0.601116i
\(337\) −2.57381 4.45797i −0.140204 0.242841i 0.787369 0.616482i \(-0.211443\pi\)
−0.927573 + 0.373641i \(0.878109\pi\)
\(338\) −0.264400 0.457954i −0.0143815 0.0249094i
\(339\) −6.50455 8.77277i −0.353279 0.476471i
\(340\) −5.54775 + 9.60898i −0.300869 + 0.521120i
\(341\) −4.50398 −0.243904
\(342\) 3.51460 11.5752i 0.190048 0.625914i
\(343\) −10.2776 −0.554938
\(344\) −6.63515 + 11.4924i −0.357743 + 0.619630i
\(345\) −1.45740 + 3.36061i −0.0784637 + 0.180929i
\(346\) −1.25123 2.16719i −0.0672663 0.116509i
\(347\) −3.06489 5.30855i −0.164532 0.284978i 0.771957 0.635675i \(-0.219278\pi\)
−0.936489 + 0.350697i \(0.885945\pi\)
\(348\) −3.89882 + 0.448007i −0.208999 + 0.0240157i
\(349\) −8.96650 + 15.5304i −0.479966 + 0.831325i −0.999736 0.0229809i \(-0.992684\pi\)
0.519770 + 0.854306i \(0.326018\pi\)
\(350\) 1.74463 0.0932542
\(351\) −3.96089 3.36324i −0.211417 0.179516i
\(352\) −2.87375 −0.153171
\(353\) 4.42477 7.66392i 0.235506 0.407909i −0.723913 0.689891i \(-0.757658\pi\)
0.959420 + 0.281982i \(0.0909918\pi\)
\(354\) 1.56680 0.180039i 0.0832747 0.00956896i
\(355\) 4.32765 + 7.49572i 0.229688 + 0.397831i
\(356\) 7.43424 + 12.8765i 0.394014 + 0.682452i
\(357\) −14.6634 + 33.8123i −0.776071 + 1.78954i
\(358\) −0.287627 + 0.498185i −0.0152016 + 0.0263299i
\(359\) 13.0409 0.688273 0.344137 0.938920i \(-0.388172\pi\)
0.344137 + 0.938920i \(0.388172\pi\)
\(360\) −4.03343 4.30871i −0.212580 0.227089i
\(361\) 39.1474 2.06039
\(362\) −0.704311 + 1.21990i −0.0370178 + 0.0641166i
\(363\) 11.0330 + 14.8804i 0.579083 + 0.781016i
\(364\) 2.83794 + 4.91545i 0.148748 + 0.257640i
\(365\) 1.71170 + 2.96476i 0.0895946 + 0.155182i
\(366\) −0.779460 1.05127i −0.0407430 0.0549507i
\(367\) 3.07177 5.32046i 0.160345 0.277726i −0.774647 0.632393i \(-0.782073\pi\)
0.934992 + 0.354668i \(0.115406\pi\)
\(368\) −5.07651 −0.264631
\(369\) 19.1720 + 20.4804i 0.998053 + 1.06617i
\(370\) −4.62369 −0.240374
\(371\) 8.05887 13.9584i 0.418396 0.724683i
\(372\) 9.66959 22.2971i 0.501345 1.15605i
\(373\) 10.6741 + 18.4880i 0.552683 + 0.957275i 0.998080 + 0.0619414i \(0.0197292\pi\)
−0.445397 + 0.895333i \(0.646937\pi\)
\(374\) 0.941666 + 1.63101i 0.0486924 + 0.0843377i
\(375\) −1.72073 + 0.197726i −0.0888580 + 0.0102105i
\(376\) −5.60242 + 9.70368i −0.288923 + 0.500429i
\(377\) 1.31704 0.0678310
\(378\) −6.91027 5.86759i −0.355426 0.301796i
\(379\) 0.639090 0.0328279 0.0164139 0.999865i \(-0.494775\pi\)
0.0164139 + 0.999865i \(0.494775\pi\)
\(380\) 6.55929 11.3610i 0.336485 0.582809i
\(381\) 11.4241 1.31273i 0.585275 0.0672530i
\(382\) 4.10980 + 7.11838i 0.210276 + 0.364208i
\(383\) 0.422583 + 0.731935i 0.0215930 + 0.0374001i 0.876620 0.481183i \(-0.159793\pi\)
−0.855027 + 0.518583i \(0.826460\pi\)
\(384\) 7.91911 18.2606i 0.404121 0.931859i
\(385\) −0.910944 + 1.57780i −0.0464260 + 0.0804122i
\(386\) 9.57975 0.487597
\(387\) 5.87926 19.3631i 0.298860 0.984282i
\(388\) −10.9750 −0.557169
\(389\) −5.48753 + 9.50469i −0.278229 + 0.481907i −0.970945 0.239304i \(-0.923081\pi\)
0.692716 + 0.721211i \(0.256414\pi\)
\(390\) 0.545510 + 0.735736i 0.0276230 + 0.0372554i
\(391\) 6.81982 + 11.8123i 0.344893 + 0.597373i
\(392\) 3.82138 + 6.61883i 0.193009 + 0.334301i
\(393\) −20.5333 27.6935i −1.03577 1.39695i
\(394\) 5.99080 10.3764i 0.301812 0.522754i
\(395\) −10.7712 −0.541960
\(396\) 2.77578 0.646456i 0.139488 0.0324856i
\(397\) 21.3930 1.07368 0.536842 0.843683i \(-0.319617\pi\)
0.536842 + 0.843683i \(0.319617\pi\)
\(398\) 4.21677 7.30366i 0.211367 0.366099i
\(399\) 17.3371 39.9775i 0.867940 2.00138i
\(400\) −1.20021 2.07882i −0.0600104 0.103941i
\(401\) 11.3858 + 19.7208i 0.568581 + 0.984811i 0.996707 + 0.0810919i \(0.0258407\pi\)
−0.428126 + 0.903719i \(0.640826\pi\)
\(402\) 1.03209 0.118596i 0.0514761 0.00591503i
\(403\) −4.07808 + 7.06344i −0.203144 + 0.351855i
\(404\) −1.51589 −0.0754181
\(405\) 7.48061 + 5.00404i 0.371715 + 0.248653i
\(406\) 2.29774 0.114035
\(407\) 2.41423 4.18157i 0.119669 0.207273i
\(408\) −21.8331 + 2.50880i −1.08090 + 0.124204i
\(409\) −18.3213 31.7334i −0.905928 1.56911i −0.819666 0.572841i \(-0.805841\pi\)
−0.0862619 0.996272i \(-0.527492\pi\)
\(410\) −2.47247 4.28244i −0.122106 0.211495i
\(411\) 10.7080 24.6916i 0.528189 1.21795i
\(412\) 7.09792 12.2940i 0.349690 0.605680i
\(413\) 5.68097 0.279542
\(414\) −3.26754 + 0.760984i −0.160591 + 0.0374003i
\(415\) 10.9196 0.536021
\(416\) −2.60200 + 4.50680i −0.127574 + 0.220964i
\(417\) −22.9465 30.9482i −1.12370 1.51554i
\(418\) −1.11336 1.92840i −0.0544564 0.0943213i
\(419\) −1.85742 3.21715i −0.0907411 0.157168i 0.817082 0.576521i \(-0.195590\pi\)
−0.907823 + 0.419353i \(0.862257\pi\)
\(420\) −5.85523 7.89703i −0.285706 0.385335i
\(421\) 9.52785 16.5027i 0.464359 0.804293i −0.534814 0.844970i \(-0.679618\pi\)
0.999172 + 0.0406771i \(0.0129515\pi\)
\(422\) 9.83297 0.478662
\(423\) 4.96418 16.3493i 0.241367 0.794932i
\(424\) 9.61105 0.466754
\(425\) −3.22474 + 5.58541i −0.156423 + 0.270932i
\(426\) −3.15409 + 7.27300i −0.152816 + 0.352378i
\(427\) −2.35707 4.08257i −0.114067 0.197569i
\(428\) 6.84397 + 11.8541i 0.330816 + 0.572989i
\(429\) −0.950218 + 0.109188i −0.0458769 + 0.00527164i
\(430\) −1.78347 + 3.08905i −0.0860063 + 0.148967i
\(431\) −25.3961 −1.22329 −0.611644 0.791133i \(-0.709492\pi\)
−0.611644 + 0.791133i \(0.709492\pi\)
\(432\) −2.23768 + 12.2706i −0.107660 + 0.590368i
\(433\) 35.0659 1.68516 0.842580 0.538571i \(-0.181036\pi\)
0.842580 + 0.538571i \(0.181036\pi\)
\(434\) −7.11472 + 12.3231i −0.341518 + 0.591526i
\(435\) −2.26627 + 0.260413i −0.108659 + 0.0124859i
\(436\) −7.98254 13.8262i −0.382294 0.662153i
\(437\) −8.06331 13.9661i −0.385720 0.668087i
\(438\) −1.24753 + 2.87666i −0.0596091 + 0.137452i
\(439\) 10.3602 17.9444i 0.494467 0.856442i −0.505513 0.862819i \(-0.668697\pi\)
0.999980 + 0.00637739i \(0.00203000\pi\)
\(440\) −1.08640 −0.0517919
\(441\) −7.96471 8.50829i −0.379272 0.405157i
\(442\) 3.41048 0.162220
\(443\) −20.6878 + 35.8323i −0.982905 + 1.70244i −0.332007 + 0.943277i \(0.607726\pi\)
−0.650899 + 0.759165i \(0.725608\pi\)
\(444\) 15.5178 + 20.9291i 0.736444 + 0.993250i
\(445\) 4.32130 + 7.48472i 0.204849 + 0.354810i
\(446\) −4.34943 7.53344i −0.205952 0.356719i
\(447\) −14.4994 19.5555i −0.685798 0.924944i
\(448\) 3.37998 5.85430i 0.159689 0.276590i
\(449\) 16.8485 0.795131 0.397566 0.917574i \(-0.369855\pi\)
0.397566 + 0.917574i \(0.369855\pi\)
\(450\) −1.08415 1.15814i −0.0511072 0.0545952i
\(451\) 5.16393 0.243160
\(452\) 5.42373 9.39418i 0.255111 0.441865i
\(453\) −11.3312 + 26.1284i −0.532384 + 1.22762i
\(454\) −1.33045 2.30441i −0.0624411 0.108151i
\(455\) 1.64961 + 2.85721i 0.0773349 + 0.133948i
\(456\) 25.8140 2.96624i 1.20885 0.138907i
\(457\) 9.82743 17.0216i 0.459708 0.796237i −0.539238 0.842154i \(-0.681288\pi\)
0.998945 + 0.0459166i \(0.0146208\pi\)
\(458\) 4.21666 0.197032
\(459\) 31.5579 11.2776i 1.47300 0.526395i
\(460\) −3.63831 −0.169637
\(461\) −7.07284 + 12.2505i −0.329415 + 0.570564i −0.982396 0.186811i \(-0.940185\pi\)
0.652981 + 0.757374i \(0.273518\pi\)
\(462\) −1.65777 + 0.190492i −0.0771266 + 0.00886249i
\(463\) −0.458168 0.793570i −0.0212929 0.0368803i 0.855183 0.518327i \(-0.173445\pi\)
−0.876475 + 0.481446i \(0.840112\pi\)
\(464\) −1.58072 2.73789i −0.0733833 0.127104i
\(465\) 5.62064 12.9606i 0.260651 0.601034i
\(466\) 0.362630 0.628094i 0.0167985 0.0290959i
\(467\) −6.14949 −0.284565 −0.142282 0.989826i \(-0.545444\pi\)
−0.142282 + 0.989826i \(0.545444\pi\)
\(468\) 1.49948 4.93848i 0.0693136 0.228282i
\(469\) 3.74219 0.172798
\(470\) −1.50588 + 2.60826i −0.0694609 + 0.120310i
\(471\) 10.4794 + 14.1336i 0.482863 + 0.651244i
\(472\) 1.69379 + 2.93373i 0.0779629 + 0.135036i
\(473\) −1.86245 3.22586i −0.0856355 0.148325i
\(474\) −5.87582 7.92478i −0.269885 0.363997i
\(475\) 3.81272 6.60383i 0.174940 0.303004i
\(476\) −36.6065 −1.67785
\(477\) −14.2740 + 3.32429i −0.653560 + 0.152209i
\(478\) −11.2942 −0.516584
\(479\) −0.250429 + 0.433755i −0.0114424 + 0.0198188i −0.871690 0.490058i \(-0.836976\pi\)
0.860248 + 0.509877i \(0.170309\pi\)
\(480\) 3.58623 8.26946i 0.163688 0.377447i
\(481\) −4.37187 7.57231i −0.199340 0.345268i
\(482\) −4.42581 7.66572i −0.201590 0.349164i
\(483\) −12.0061 + 1.37960i −0.546296 + 0.0627739i
\(484\) −9.19973 + 15.9344i −0.418170 + 0.724291i
\(485\) −6.37941 −0.289674
\(486\) 0.399093 + 8.23351i 0.0181032 + 0.373479i
\(487\) 25.1464 1.13949 0.569746 0.821821i \(-0.307042\pi\)
0.569746 + 0.821821i \(0.307042\pi\)
\(488\) 1.40553 2.43444i 0.0636252 0.110202i
\(489\) 22.7392 2.61293i 1.02830 0.118161i
\(490\) 1.02715 + 1.77908i 0.0464019 + 0.0803705i
\(491\) 9.69116 + 16.7856i 0.437356 + 0.757523i 0.997485 0.0708829i \(-0.0225817\pi\)
−0.560129 + 0.828406i \(0.689248\pi\)
\(492\) −11.0864 + 25.5641i −0.499815 + 1.15252i
\(493\) −4.24711 + 7.35622i −0.191280 + 0.331307i
\(494\) −4.03233 −0.181423
\(495\) 1.61348 0.375765i 0.0725204 0.0168894i
\(496\) 19.5782 0.879087
\(497\) −14.2779 + 24.7300i −0.640450 + 1.10929i
\(498\) 5.95674 + 8.03392i 0.266928 + 0.360009i
\(499\) −6.33303 10.9691i −0.283506 0.491046i 0.688740 0.725008i \(-0.258164\pi\)
−0.972246 + 0.233962i \(0.924831\pi\)
\(500\) −0.860185 1.48988i −0.0384687 0.0666297i
\(501\) −0.0910228 0.122764i −0.00406660 0.00548467i
\(502\) −6.34031 + 10.9817i −0.282982 + 0.490139i
\(503\) 15.8072 0.704807 0.352403 0.935848i \(-0.385364\pi\)
0.352403 + 0.935848i \(0.385364\pi\)
\(504\) 5.65728 18.6320i 0.251995 0.829936i
\(505\) −0.881139 −0.0392102
\(506\) −0.308781 + 0.534824i −0.0137270 + 0.0237758i
\(507\) −0.689128 + 1.58906i −0.0306053 + 0.0705725i
\(508\) 5.71087 + 9.89152i 0.253379 + 0.438865i
\(509\) 4.91259 + 8.50886i 0.217747 + 0.377149i 0.954119 0.299428i \(-0.0967960\pi\)
−0.736372 + 0.676577i \(0.763463\pi\)
\(510\) −5.86852 + 0.674341i −0.259862 + 0.0298603i
\(511\) −5.64728 + 9.78138i −0.249821 + 0.432703i
\(512\) 21.9366 0.969470
\(513\) −37.3120 + 13.3339i −1.64736 + 0.588708i
\(514\) 15.6127 0.688645
\(515\) 4.12581 7.14611i 0.181805 0.314895i
\(516\) 19.9681 2.29451i 0.879049 0.101010i
\(517\) −1.57257 2.72377i −0.0691614 0.119791i
\(518\) −7.62728 13.2108i −0.335124 0.580451i
\(519\) −3.26118 + 7.51994i −0.143150 + 0.330089i
\(520\) −0.983666 + 1.70376i −0.0431366 + 0.0747148i
\(521\) −41.6128 −1.82309 −0.911545 0.411200i \(-0.865110\pi\)
−0.911545 + 0.411200i \(0.865110\pi\)
\(522\) −1.42787 1.52532i −0.0624960 0.0667613i
\(523\) −44.9958 −1.96753 −0.983763 0.179470i \(-0.942562\pi\)
−0.983763 + 0.179470i \(0.942562\pi\)
\(524\) 17.1214 29.6551i 0.747952 1.29549i
\(525\) −3.40347 4.59030i −0.148540 0.200337i
\(526\) −5.77666 10.0055i −0.251875 0.436260i
\(527\) −26.3015 45.5555i −1.14571 1.98443i
\(528\) 1.36744 + 1.84429i 0.0595103 + 0.0802622i
\(529\) 9.26372 16.0452i 0.402770 0.697619i
\(530\) 2.58336 0.112214
\(531\) −3.53028 3.77121i −0.153201 0.163657i
\(532\) 43.2811 1.87647
\(533\) 4.67562 8.09842i 0.202524 0.350781i
\(534\) −3.14946 + 7.26232i −0.136290 + 0.314271i
\(535\) 3.97819 + 6.89043i 0.171992 + 0.297899i
\(536\) 1.11574 + 1.93252i 0.0481926 + 0.0834721i
\(537\) 1.87189 0.215096i 0.0807781 0.00928208i
\(538\) 7.95913 13.7856i 0.343142 0.594340i
\(539\) −2.14528 −0.0924037
\(540\) −1.60374 + 8.79428i −0.0690138 + 0.378445i
\(541\) −31.7028 −1.36301 −0.681504 0.731814i \(-0.738674\pi\)
−0.681504 + 0.731814i \(0.738674\pi\)
\(542\) −3.06644 + 5.31123i −0.131715 + 0.228137i
\(543\) 4.58369 0.526704i 0.196705 0.0226030i
\(544\) −16.7816 29.0665i −0.719503 1.24622i
\(545\) −4.64001 8.03674i −0.198756 0.344256i
\(546\) −1.20227 + 2.77231i −0.0514524 + 0.118644i
\(547\) −4.13402 + 7.16033i −0.176758 + 0.306154i −0.940768 0.339050i \(-0.889894\pi\)
0.764010 + 0.645204i \(0.223228\pi\)
\(548\) 26.7320 1.14194
\(549\) −1.24541 + 4.10169i −0.0531526 + 0.175056i
\(550\) −0.292013 −0.0124515
\(551\) 5.02151 8.69751i 0.213924 0.370526i
\(552\) −4.29207 5.78877i −0.182683 0.246386i
\(553\) −17.7683 30.7757i −0.755586 1.30871i
\(554\) −2.78321 4.82067i −0.118247 0.204810i
\(555\) 9.02005 + 12.1654i 0.382880 + 0.516395i
\(556\) 19.1336 33.1404i 0.811447 1.40547i
\(557\) 41.8970 1.77523 0.887615 0.460585i \(-0.152360\pi\)
0.887615 + 0.460585i \(0.152360\pi\)
\(558\) 12.6017 2.93483i 0.533472 0.124241i
\(559\) −6.74533 −0.285297
\(560\) 3.95975 6.85849i 0.167330 0.289824i
\(561\) 2.45435 5.65946i 0.103623 0.238943i
\(562\) −2.38406 4.12931i −0.100565 0.174184i
\(563\) −5.18447 8.97977i −0.218500 0.378452i 0.735850 0.677145i \(-0.236783\pi\)
−0.954349 + 0.298692i \(0.903450\pi\)
\(564\) 16.8602 1.93738i 0.709942 0.0815783i
\(565\) 3.15265 5.46056i 0.132633 0.229727i
\(566\) −7.57176 −0.318265
\(567\) −1.95750 + 29.6284i −0.0822074 + 1.24427i
\(568\) −17.0279 −0.714473
\(569\) −17.6907 + 30.6411i −0.741631 + 1.28454i 0.210121 + 0.977675i \(0.432614\pi\)
−0.951752 + 0.306868i \(0.900719\pi\)
\(570\) 6.93855 0.797297i 0.290624 0.0333951i
\(571\) −1.86066 3.22275i −0.0778661 0.134868i 0.824463 0.565916i \(-0.191477\pi\)
−0.902329 + 0.431048i \(0.858144\pi\)
\(572\) −0.475010 0.822742i −0.0198612 0.0344006i
\(573\) 10.7117 24.7001i 0.447489 1.03186i
\(574\) 8.15721 14.1287i 0.340475 0.589721i
\(575\) −2.11484 −0.0881951
\(576\) −5.98667 + 1.39425i −0.249444 + 0.0580936i
\(577\) −22.7206 −0.945870 −0.472935 0.881097i \(-0.656806\pi\)
−0.472935 + 0.881097i \(0.656806\pi\)
\(578\) −6.50313 + 11.2638i −0.270495 + 0.468510i
\(579\) −18.6885 25.2054i −0.776667 1.04750i
\(580\) −1.13290 1.96224i −0.0470411 0.0814775i
\(581\) 18.0130 + 31.1995i 0.747307 + 1.29437i
\(582\) −3.48003 4.69356i −0.144252 0.194554i
\(583\) −1.34888 + 2.33633i −0.0558650 + 0.0967610i
\(584\) −6.73497 −0.278695
\(585\) 0.871604 2.87059i 0.0360364 0.118684i
\(586\) −16.1363 −0.666586
\(587\) 18.0815 31.3182i 0.746305 1.29264i −0.203277 0.979121i \(-0.565159\pi\)
0.949582 0.313518i \(-0.101507\pi\)
\(588\) 4.60569 10.6202i 0.189936 0.437971i
\(589\) 31.0972 + 53.8619i 1.28134 + 2.21934i
\(590\) 0.455274 + 0.788557i 0.0187433 + 0.0324644i
\(591\) −38.9885 + 4.48010i −1.60377 + 0.184287i
\(592\) −10.4943 + 18.1767i −0.431314 + 0.747058i
\(593\) −31.7318 −1.30307 −0.651534 0.758619i \(-0.725874\pi\)
−0.651534 + 0.758619i \(0.725874\pi\)
\(594\) 1.15663 + 0.982108i 0.0474571 + 0.0402964i
\(595\) −21.2782 −0.872323
\(596\) 12.0901 20.9407i 0.495231 0.857765i
\(597\) −27.4429 + 3.15342i −1.12316 + 0.129061i
\(598\) 0.559164 + 0.968501i 0.0228659 + 0.0396050i
\(599\) −11.0956 19.2181i −0.453353 0.785230i 0.545239 0.838281i \(-0.316439\pi\)
−0.998592 + 0.0530506i \(0.983106\pi\)
\(600\) 1.35574 3.12620i 0.0553480 0.127627i
\(601\) 13.4369 23.2734i 0.548102 0.949340i −0.450303 0.892876i \(-0.648684\pi\)
0.998405 0.0564642i \(-0.0179827\pi\)
\(602\) −11.7681 −0.479631
\(603\) −2.32548 2.48419i −0.0947009 0.101164i
\(604\) −28.2876 −1.15101
\(605\) −5.34753 + 9.26219i −0.217408 + 0.376562i
\(606\) −0.480670 0.648285i −0.0195259 0.0263348i
\(607\) 7.36656 + 12.7593i 0.299000 + 0.517883i 0.975907 0.218185i \(-0.0700137\pi\)
−0.676908 + 0.736068i \(0.736680\pi\)
\(608\) 19.8414 + 34.3663i 0.804676 + 1.39374i
\(609\) −4.48251 6.04562i −0.181641 0.244981i
\(610\) 0.377792 0.654355i 0.0152964 0.0264941i
\(611\) −5.69545 −0.230413
\(612\) 22.7480 + 24.3006i 0.919535 + 0.982292i
\(613\) −31.6705 −1.27916 −0.639579 0.768725i \(-0.720891\pi\)
−0.639579 + 0.768725i \(0.720891\pi\)
\(614\) 2.24808 3.89379i 0.0907250 0.157140i
\(615\) −6.44421 + 14.8597i −0.259855 + 0.599199i
\(616\) −1.79213 3.10406i −0.0722069 0.125066i
\(617\) 20.5685 + 35.6256i 0.828055 + 1.43423i 0.899562 + 0.436793i \(0.143886\pi\)
−0.0715070 + 0.997440i \(0.522781\pi\)
\(618\) 7.50832 0.862768i 0.302029 0.0347056i
\(619\) −7.99428 + 13.8465i −0.321317 + 0.556538i −0.980760 0.195217i \(-0.937459\pi\)
0.659443 + 0.751755i \(0.270792\pi\)
\(620\) 14.0316 0.563524
\(621\) 8.37666 + 7.11272i 0.336144 + 0.285424i
\(622\) 8.56310 0.343349
\(623\) −14.2569 + 24.6937i −0.571191 + 0.989333i
\(624\) 4.13047 0.474625i 0.165351 0.0190002i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −7.28292 12.6144i −0.291084 0.504172i
\(627\) −2.90186 + 6.69138i −0.115889 + 0.267228i
\(628\) −8.73807 + 15.1348i −0.348687 + 0.603944i
\(629\) 56.3926 2.24852
\(630\) 1.52062 5.00811i 0.0605831 0.199528i
\(631\) 0.549340 0.0218689 0.0109344 0.999940i \(-0.496519\pi\)
0.0109344 + 0.999940i \(0.496519\pi\)
\(632\) 10.5953 18.3516i 0.421458 0.729987i
\(633\) −19.1825 25.8716i −0.762435 1.02831i
\(634\) −0.522438 0.904890i −0.0207487 0.0359378i
\(635\) 3.31956 + 5.74964i 0.131733 + 0.228168i
\(636\) −8.67015 11.6935i −0.343794 0.463679i
\(637\) −1.94242 + 3.36437i −0.0769614 + 0.133301i
\(638\) −0.384593 −0.0152262
\(639\) 25.2892 5.88964i 1.00042 0.232990i
\(640\) 11.4915 0.454241
\(641\) 4.82212 8.35216i 0.190462 0.329891i −0.754941 0.655793i \(-0.772335\pi\)
0.945404 + 0.325902i \(0.105668\pi\)
\(642\) −2.89939 + 6.68569i −0.114430 + 0.263863i
\(643\) −0.840288 1.45542i −0.0331377 0.0573962i 0.848981 0.528424i \(-0.177217\pi\)
−0.882119 + 0.471027i \(0.843883\pi\)
\(644\) −6.00180 10.3954i −0.236504 0.409637i
\(645\) 11.6069 1.33373i 0.457021 0.0525155i
\(646\) 13.0032 22.5222i 0.511605 0.886126i
\(647\) −14.8836 −0.585136 −0.292568 0.956245i \(-0.594510\pi\)
−0.292568 + 0.956245i \(0.594510\pi\)
\(648\) −15.8841 + 7.82285i −0.623987 + 0.307311i
\(649\) −0.950872 −0.0373250
\(650\) −0.264400 + 0.457954i −0.0103706 + 0.0179624i
\(651\) 46.3030 5.32060i 1.81476 0.208531i
\(652\) 11.3673 + 19.6887i 0.445176 + 0.771068i
\(653\) 13.7167 + 23.7581i 0.536777 + 0.929725i 0.999075 + 0.0430005i \(0.0136917\pi\)
−0.462298 + 0.886725i \(0.652975\pi\)
\(654\) 3.38174 7.79794i 0.132237 0.304924i
\(655\) 9.95215 17.2376i 0.388863 0.673530i
\(656\) −22.4469 −0.876404
\(657\) 10.0025 2.32951i 0.390236 0.0908828i
\(658\) −9.93643 −0.387362
\(659\) 13.5560 23.4796i 0.528066 0.914637i −0.471399 0.881920i \(-0.656251\pi\)
0.999465 0.0327170i \(-0.0104160\pi\)
\(660\) 0.980041 + 1.32179i 0.0381480 + 0.0514507i
\(661\) 1.81117 + 3.13703i 0.0704463 + 0.122017i 0.899097 0.437750i \(-0.144224\pi\)
−0.828651 + 0.559766i \(0.810891\pi\)
\(662\) −4.73481 8.20094i −0.184024 0.318738i
\(663\) −6.65328 8.97336i −0.258392 0.348497i
\(664\) −10.7412 + 18.6043i −0.416840 + 0.721988i
\(665\) 25.1580 0.975585
\(666\) −4.03003 + 13.2727i −0.156161 + 0.514308i
\(667\) −2.78534 −0.107849
\(668\) 0.0758981 0.131459i 0.00293659 0.00508632i
\(669\) −11.3363 + 26.1403i −0.438287 + 1.01064i
\(670\) 0.299900 + 0.519442i 0.0115862 + 0.0200678i
\(671\) 0.394523 + 0.683334i 0.0152304 + 0.0263798i
\(672\) 29.5434 3.39478i 1.13966 0.130957i
\(673\) −4.59326 + 7.95577i −0.177057 + 0.306672i −0.940871 0.338764i \(-0.889991\pi\)
0.763814 + 0.645436i \(0.223324\pi\)
\(674\) 2.72206 0.104850
\(675\) −0.932203 + 5.11185i −0.0358805 + 0.196755i
\(676\) −1.72037 −0.0661681
\(677\) 20.5137 35.5307i 0.788404 1.36556i −0.138540 0.990357i \(-0.544241\pi\)
0.926944 0.375200i \(-0.122426\pi\)
\(678\) 5.73733 0.659267i 0.220341 0.0253190i
\(679\) −10.5235 18.2273i −0.403856 0.699499i
\(680\) −6.34413 10.9884i −0.243286 0.421384i
\(681\) −3.46767 + 7.99607i −0.132881 + 0.306410i
\(682\) 1.19085 2.06262i 0.0456001 0.0789817i
\(683\) −26.9519 −1.03128 −0.515642 0.856804i \(-0.672447\pi\)
−0.515642 + 0.856804i \(0.672447\pi\)
\(684\) −26.8958 28.7314i −1.02839 1.09857i
\(685\) 15.5385 0.593697
\(686\) 2.71740 4.70667i 0.103751 0.179701i
\(687\) −8.22600 11.0945i −0.313842 0.423282i
\(688\) 8.09581 + 14.0224i 0.308650 + 0.534597i
\(689\) 2.44266 + 4.23081i 0.0930580 + 0.161181i
\(690\) −1.15367 1.55597i −0.0439194 0.0592346i
\(691\) −18.1572 + 31.4492i −0.690733 + 1.19638i 0.280865 + 0.959747i \(0.409379\pi\)
−0.971598 + 0.236637i \(0.923955\pi\)
\(692\) −8.14136 −0.309488
\(693\) 3.73524 + 3.99017i 0.141890 + 0.151574i
\(694\) 3.24143 0.123043
\(695\) 11.1218 19.2635i 0.421874 0.730708i
\(696\) 1.78557 4.11733i 0.0676818 0.156067i
\(697\) 30.1553 + 52.2306i 1.14221 + 1.97837i
\(698\) −4.74148 8.21249i −0.179468 0.310847i
\(699\) −2.36002 + 0.271186i −0.0892641 + 0.0102572i
\(700\) 2.83794 4.91545i 0.107264 0.185787i
\(701\) −3.85347 −0.145543 −0.0727717 0.997349i \(-0.523184\pi\)
−0.0727717 + 0.997349i \(0.523184\pi\)
\(702\) 2.58747 0.924666i 0.0976576 0.0348993i
\(703\) −66.6750 −2.51469
\(704\) −0.565736 + 0.979884i −0.0213220 + 0.0369308i
\(705\) 9.80032 1.12614i 0.369102 0.0424128i
\(706\) 2.33981 + 4.05268i 0.0880601 + 0.152525i
\(707\) −1.45353 2.51760i −0.0546658 0.0946839i
\(708\) 2.04143 4.70731i 0.0767215 0.176912i
\(709\) −4.46815 + 7.73907i −0.167805 + 0.290647i −0.937648 0.347587i \(-0.887001\pi\)
0.769843 + 0.638233i \(0.220335\pi\)
\(710\) −4.57693 −0.171769
\(711\) −9.38826 + 30.9199i −0.352087 + 1.15959i
\(712\) −17.0029 −0.637209
\(713\) 8.62450 14.9381i 0.322990 0.559435i
\(714\) −11.6075 15.6552i −0.434399 0.585880i
\(715\) −0.276109 0.478235i −0.0103259 0.0178850i
\(716\) 0.935752 + 1.62077i 0.0349707 + 0.0605710i
\(717\) 22.0331 + 29.7163i 0.822840 + 1.10977i
\(718\) −3.44802 + 5.97214i −0.128679 + 0.222878i
\(719\) −22.8346 −0.851587 −0.425793 0.904820i \(-0.640005\pi\)
−0.425793 + 0.904820i \(0.640005\pi\)
\(720\) −7.01356 + 1.63340i −0.261380 + 0.0608732i
\(721\) 27.2239 1.01387
\(722\) −10.3506 + 17.9277i −0.385208 + 0.667200i
\(723\) −11.5354 + 26.5993i −0.429005 + 0.989239i
\(724\) 2.29137 + 3.96877i 0.0851581 + 0.147498i
\(725\) −0.658520 1.14059i −0.0244568 0.0423605i
\(726\) −9.73165 + 1.11825i −0.361175 + 0.0415021i
\(727\) −4.50796 + 7.80801i −0.167191 + 0.289583i −0.937431 0.348171i \(-0.886803\pi\)
0.770240 + 0.637754i \(0.220136\pi\)
\(728\) −6.49065 −0.240560
\(729\) 20.8847 17.1122i 0.773508 0.633787i
\(730\) −1.81030 −0.0670021
\(731\) 21.7520 37.6755i 0.804525 1.39348i
\(732\) −4.22986 + 0.486046i −0.156340 + 0.0179648i
\(733\) −6.30216 10.9157i −0.232775 0.403179i 0.725848 0.687855i \(-0.241447\pi\)
−0.958624 + 0.284676i \(0.908114\pi\)
\(734\) 1.62435 + 2.81346i 0.0599559 + 0.103847i
\(735\) 2.67715 6.17323i 0.0987482 0.227703i
\(736\) 5.50283 9.53117i 0.202837 0.351324i
\(737\) −0.626363 −0.0230724
\(738\) −14.4482 + 3.36486i −0.531844 + 0.123862i
\(739\) 1.70896 0.0628651 0.0314325 0.999506i \(-0.489993\pi\)
0.0314325 + 0.999506i \(0.489993\pi\)
\(740\) −7.52125 + 13.0272i −0.276486 + 0.478889i
\(741\) 7.86640 + 10.6095i 0.288980 + 0.389750i
\(742\) 4.26153 + 7.38118i 0.156446 + 0.270972i
\(743\) −3.49698 6.05695i −0.128292 0.222208i 0.794723 0.606972i \(-0.207616\pi\)
−0.923015 + 0.384764i \(0.874283\pi\)
\(744\) 16.5529 + 22.3251i 0.606859 + 0.818479i
\(745\) 7.02763 12.1722i 0.257472 0.445955i
\(746\) −11.2889 −0.413316
\(747\) 9.51755 31.3457i 0.348229 1.14688i
\(748\) 6.12714 0.224030
\(749\) −13.1249 + 22.7330i −0.479574 + 0.830647i
\(750\) 0.364411 0.840293i 0.0133064 0.0306832i
\(751\) −11.8054 20.4475i −0.430783 0.746139i 0.566158 0.824297i \(-0.308429\pi\)
−0.996941 + 0.0781583i \(0.975096\pi\)
\(752\) 6.83573 + 11.8398i 0.249273 + 0.431754i
\(753\) 41.2630 4.74147i 1.50371 0.172789i
\(754\) −0.348225 + 0.603144i −0.0126816 + 0.0219652i
\(755\) −16.4427 −0.598412
\(756\) −27.7726 + 9.92491i −1.01008 + 0.360966i
\(757\) −36.0882 −1.31165 −0.655824 0.754914i \(-0.727679\pi\)
−0.655824 + 0.754914i \(0.727679\pi\)
\(758\) −0.168975 + 0.292674i −0.00613746 + 0.0106304i
\(759\) 2.00956 0.230915i 0.0729425 0.00838169i
\(760\) 7.50089 + 12.9919i 0.272086 + 0.471266i
\(761\) 14.1498 + 24.5082i 0.512930 + 0.888421i 0.999888 + 0.0149956i \(0.00477341\pi\)
−0.486957 + 0.873426i \(0.661893\pi\)
\(762\) −2.41937 + 5.57880i −0.0876444 + 0.202099i
\(763\) 15.3084 26.5149i 0.554202 0.959905i
\(764\) 26.7412 0.967464
\(765\) 13.2228 + 14.1252i 0.478070 + 0.510697i
\(766\) −0.446923 −0.0161480
\(767\) −0.860957 + 1.49122i −0.0310873 + 0.0538449i
\(768\) 2.04131 + 2.75314i 0.0736594 + 0.0993454i
\(769\) 5.96044 + 10.3238i 0.214939 + 0.372285i 0.953254 0.302171i \(-0.0977114\pi\)
−0.738315 + 0.674456i \(0.764378\pi\)
\(770\) −0.481707 0.834341i −0.0173595 0.0300676i
\(771\) −30.4577 41.0787i −1.09691 1.47941i
\(772\) 15.5831 26.9908i 0.560850 0.971420i
\(773\) 40.0242 1.43957 0.719785 0.694197i \(-0.244240\pi\)
0.719785 + 0.694197i \(0.244240\pi\)
\(774\) 7.31294 + 7.81204i 0.262858 + 0.280798i