Properties

Label 114.2.l.a.89.1
Level $114$
Weight $2$
Character 114.89
Analytic conductor $0.910$
Analytic rank $0$
Dimension $18$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 89.1
Root \(-0.442647 - 1.67453i\) of defining polynomial
Character \(\chi\) \(=\) 114.89
Dual form 114.2.l.a.41.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.766044 + 0.642788i) q^{2} +(-1.67151 - 0.453924i) q^{3} +(0.173648 - 0.984808i) q^{4} +(1.96615 - 0.346685i) q^{5} +(1.57223 - 0.726702i) q^{6} +(0.910931 - 1.57778i) q^{7} +(0.500000 + 0.866025i) q^{8} +(2.58791 + 1.51748i) q^{9} +O(q^{10})\) \(q+(-0.766044 + 0.642788i) q^{2} +(-1.67151 - 0.453924i) q^{3} +(0.173648 - 0.984808i) q^{4} +(1.96615 - 0.346685i) q^{5} +(1.57223 - 0.726702i) q^{6} +(0.910931 - 1.57778i) q^{7} +(0.500000 + 0.866025i) q^{8} +(2.58791 + 1.51748i) q^{9} +(-1.28331 + 1.52939i) q^{10} +(4.10844 - 2.37201i) q^{11} +(-0.737283 + 1.56730i) q^{12} +(0.151321 + 0.415752i) q^{13} +(0.316363 + 1.79418i) q^{14} +(-3.44381 - 0.312993i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(1.07476 + 1.28085i) q^{17} +(-2.95787 + 0.501018i) q^{18} +(-3.58212 - 2.48363i) q^{19} -1.99648i q^{20} +(-2.23882 + 2.22378i) q^{21} +(-1.62255 + 4.45791i) q^{22} +(-5.93571 - 1.04663i) q^{23} +(-0.442647 - 1.67453i) q^{24} +(-0.952914 + 0.346832i) q^{25} +(-0.383159 - 0.221217i) q^{26} +(-3.63690 - 3.71120i) q^{27} +(-1.39563 - 1.17107i) q^{28} +(4.91935 + 4.12783i) q^{29} +(2.83930 - 1.97387i) q^{30} +(4.88683 + 2.82141i) q^{31} +(0.939693 - 0.342020i) q^{32} +(-7.94401 + 2.09992i) q^{33} +(-1.64663 - 0.290345i) q^{34} +(1.24403 - 3.41795i) q^{35} +(1.94381 - 2.28508i) q^{36} -5.80180i q^{37} +(4.34051 - 0.399967i) q^{38} +(-0.0642158 - 0.763624i) q^{39} +(1.28331 + 1.52939i) q^{40} +(-3.75563 - 1.36694i) q^{41} +(0.285618 - 3.14260i) q^{42} +(2.15807 + 12.2390i) q^{43} +(-1.62255 - 4.45791i) q^{44} +(5.61430 + 2.08640i) q^{45} +(5.21978 - 3.01364i) q^{46} +(-6.92588 + 8.25394i) q^{47} +(1.41546 + 0.998240i) q^{48} +(1.84041 + 3.18768i) q^{49} +(0.507035 - 0.878210i) q^{50} +(-1.21507 - 2.62881i) q^{51} +(0.435713 - 0.0768279i) q^{52} +(-0.424873 + 2.40957i) q^{53} +(5.17154 + 0.505189i) q^{54} +(7.25545 - 6.08805i) q^{55} +1.82186 q^{56} +(4.86017 + 5.77743i) q^{57} -6.42176 q^{58} +(-3.87172 + 3.24876i) q^{59} +(-0.906250 + 3.33714i) q^{60} +(1.80210 - 10.2202i) q^{61} +(-5.55710 + 0.979866i) q^{62} +(4.75165 - 2.70083i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(0.441656 + 0.764970i) q^{65} +(4.73566 - 6.71494i) q^{66} +(5.27060 - 6.28126i) q^{67} +(1.44802 - 0.836015i) q^{68} +(9.44653 + 4.44381i) q^{69} +(1.24403 + 3.41795i) q^{70} +(-0.897109 - 5.08776i) q^{71} +(-0.0202217 + 2.99993i) q^{72} +(-13.5869 - 4.94524i) q^{73} +(3.72933 + 4.44444i) q^{74} +(1.75024 - 0.147184i) q^{75} +(-3.06793 + 3.09642i) q^{76} -8.64294i q^{77} +(0.540040 + 0.543692i) q^{78} +(-3.23544 + 8.88931i) q^{79} +(-1.96615 - 0.346685i) q^{80} +(4.39452 + 7.85418i) q^{81} +(3.75563 - 1.36694i) q^{82} +(0.523324 + 0.302141i) q^{83} +(1.80123 + 2.59097i) q^{84} +(2.55719 + 2.14574i) q^{85} +(-9.52025 - 7.98844i) q^{86} +(-6.34904 - 9.13273i) q^{87} +(4.10844 + 2.37201i) q^{88} +(-4.07161 + 1.48195i) q^{89} +(-5.64191 + 2.01052i) q^{90} +(0.793809 + 0.139970i) q^{91} +(-2.06145 + 5.66379i) q^{92} +(-6.88769 - 6.93427i) q^{93} -10.7748i q^{94} +(-7.90401 - 3.64132i) q^{95} +(-1.72596 + 0.145142i) q^{96} +(1.64505 + 1.96049i) q^{97} +(-3.45884 - 1.25891i) q^{98} +(14.2317 + 0.0959322i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 18 q + 3 q^{6} + 9 q^{8} + O(q^{10}) \) \( 18 q + 3 q^{6} + 9 q^{8} - 12 q^{13} + 12 q^{14} - 24 q^{15} - 6 q^{17} - 6 q^{19} - 24 q^{22} - 18 q^{25} - 18 q^{26} - 3 q^{27} + 6 q^{28} + 6 q^{29} - 27 q^{33} - 6 q^{34} + 24 q^{35} - 3 q^{36} - 3 q^{38} + 6 q^{39} - 3 q^{41} - 6 q^{43} - 24 q^{44} + 54 q^{45} + 18 q^{46} - 30 q^{47} + 6 q^{48} + 21 q^{49} - 3 q^{50} - 33 q^{51} - 6 q^{52} + 60 q^{53} + 30 q^{55} + 12 q^{57} + 12 q^{58} - 3 q^{59} + 18 q^{60} + 54 q^{61} - 6 q^{62} + 84 q^{63} - 9 q^{64} - 24 q^{65} + 30 q^{66} - 15 q^{67} + 27 q^{68} + 24 q^{69} + 24 q^{70} - 36 q^{71} - 42 q^{73} - 6 q^{74} - 18 q^{78} - 6 q^{79} + 3 q^{82} - 36 q^{83} - 24 q^{84} + 6 q^{86} - 54 q^{87} + 60 q^{89} - 12 q^{90} - 18 q^{91} - 84 q^{93} - 6 q^{95} + 9 q^{97} - 12 q^{98} - 30 q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(77\) \(97\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{18}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.766044 + 0.642788i −0.541675 + 0.454519i
\(3\) −1.67151 0.453924i −0.965048 0.262073i
\(4\) 0.173648 0.984808i 0.0868241 0.492404i
\(5\) 1.96615 0.346685i 0.879288 0.155042i 0.284260 0.958747i \(-0.408252\pi\)
0.595028 + 0.803705i \(0.297141\pi\)
\(6\) 1.57223 0.726702i 0.641860 0.296675i
\(7\) 0.910931 1.57778i 0.344300 0.596344i −0.640927 0.767602i \(-0.721450\pi\)
0.985226 + 0.171258i \(0.0547831\pi\)
\(8\) 0.500000 + 0.866025i 0.176777 + 0.306186i
\(9\) 2.58791 + 1.51748i 0.862635 + 0.505826i
\(10\) −1.28331 + 1.52939i −0.405819 + 0.483636i
\(11\) 4.10844 2.37201i 1.23874 0.715187i 0.269903 0.962887i \(-0.413008\pi\)
0.968837 + 0.247701i \(0.0796749\pi\)
\(12\) −0.737283 + 1.56730i −0.212835 + 0.452439i
\(13\) 0.151321 + 0.415752i 0.0419690 + 0.115309i 0.958907 0.283721i \(-0.0915691\pi\)
−0.916938 + 0.399030i \(0.869347\pi\)
\(14\) 0.316363 + 1.79418i 0.0845516 + 0.479516i
\(15\) −3.44381 0.312993i −0.889188 0.0808145i
\(16\) −0.939693 0.342020i −0.234923 0.0855050i
\(17\) 1.07476 + 1.28085i 0.260668 + 0.310652i 0.880466 0.474110i \(-0.157230\pi\)
−0.619798 + 0.784761i \(0.712786\pi\)
\(18\) −2.95787 + 0.501018i −0.697176 + 0.118091i
\(19\) −3.58212 2.48363i −0.821794 0.569785i
\(20\) 1.99648i 0.446426i
\(21\) −2.23882 + 2.22378i −0.488551 + 0.485269i
\(22\) −1.62255 + 4.45791i −0.345928 + 0.950430i
\(23\) −5.93571 1.04663i −1.23768 0.218237i −0.483760 0.875201i \(-0.660729\pi\)
−0.753922 + 0.656964i \(0.771840\pi\)
\(24\) −0.442647 1.67453i −0.0903548 0.341813i
\(25\) −0.952914 + 0.346832i −0.190583 + 0.0693665i
\(26\) −0.383159 0.221217i −0.0751437 0.0433843i
\(27\) −3.63690 3.71120i −0.699921 0.714220i
\(28\) −1.39563 1.17107i −0.263749 0.221311i
\(29\) 4.91935 + 4.12783i 0.913501 + 0.766518i 0.972782 0.231723i \(-0.0744363\pi\)
−0.0592808 + 0.998241i \(0.518881\pi\)
\(30\) 2.83930 1.97387i 0.518383 0.360378i
\(31\) 4.88683 + 2.82141i 0.877700 + 0.506741i 0.869899 0.493229i \(-0.164184\pi\)
0.00780088 + 0.999970i \(0.497517\pi\)
\(32\) 0.939693 0.342020i 0.166116 0.0604612i
\(33\) −7.94401 + 2.09992i −1.38287 + 0.365549i
\(34\) −1.64663 0.290345i −0.282394 0.0497938i
\(35\) 1.24403 3.41795i 0.210280 0.577740i
\(36\) 1.94381 2.28508i 0.323968 0.380847i
\(37\) 5.80180i 0.953811i −0.878955 0.476905i \(-0.841758\pi\)
0.878955 0.476905i \(-0.158242\pi\)
\(38\) 4.34051 0.399967i 0.704124 0.0648833i
\(39\) −0.0642158 0.763624i −0.0102828 0.122278i
\(40\) 1.28331 + 1.52939i 0.202909 + 0.241818i
\(41\) −3.75563 1.36694i −0.586530 0.213480i 0.0316723 0.999498i \(-0.489917\pi\)
−0.618203 + 0.786019i \(0.712139\pi\)
\(42\) 0.285618 3.14260i 0.0440718 0.484914i
\(43\) 2.15807 + 12.2390i 0.329102 + 1.86643i 0.479125 + 0.877747i \(0.340954\pi\)
−0.150023 + 0.988683i \(0.547935\pi\)
\(44\) −1.62255 4.45791i −0.244608 0.672056i
\(45\) 5.61430 + 2.08640i 0.836930 + 0.311022i
\(46\) 5.21978 3.01364i 0.769614 0.444337i
\(47\) −6.92588 + 8.25394i −1.01024 + 1.20396i −0.0313665 + 0.999508i \(0.509986\pi\)
−0.978876 + 0.204453i \(0.934459\pi\)
\(48\) 1.41546 + 0.998240i 0.204304 + 0.144083i
\(49\) 1.84041 + 3.18768i 0.262916 + 0.455383i
\(50\) 0.507035 0.878210i 0.0717056 0.124198i
\(51\) −1.21507 2.62881i −0.170143 0.368108i
\(52\) 0.435713 0.0768279i 0.0604225 0.0106541i
\(53\) −0.424873 + 2.40957i −0.0583608 + 0.330981i −0.999984 0.00568857i \(-0.998189\pi\)
0.941623 + 0.336669i \(0.109300\pi\)
\(54\) 5.17154 + 0.505189i 0.703757 + 0.0687475i
\(55\) 7.25545 6.08805i 0.978325 0.820912i
\(56\) 1.82186 0.243457
\(57\) 4.86017 + 5.77743i 0.643746 + 0.765240i
\(58\) −6.42176 −0.843218
\(59\) −3.87172 + 3.24876i −0.504055 + 0.422952i −0.859031 0.511923i \(-0.828933\pi\)
0.354977 + 0.934875i \(0.384489\pi\)
\(60\) −0.906250 + 3.33714i −0.116996 + 0.430823i
\(61\) 1.80210 10.2202i 0.230735 1.30856i −0.620677 0.784067i \(-0.713142\pi\)
0.851412 0.524498i \(-0.175747\pi\)
\(62\) −5.55710 + 0.979866i −0.705752 + 0.124443i
\(63\) 4.75165 2.70083i 0.598652 0.340272i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) 0.441656 + 0.764970i 0.0547806 + 0.0948828i
\(66\) 4.73566 6.71494i 0.582920 0.826552i
\(67\) 5.27060 6.28126i 0.643906 0.767378i −0.341075 0.940036i \(-0.610791\pi\)
0.984982 + 0.172658i \(0.0552356\pi\)
\(68\) 1.44802 0.836015i 0.175598 0.101382i
\(69\) 9.44653 + 4.44381i 1.13723 + 0.534972i
\(70\) 1.24403 + 3.41795i 0.148690 + 0.408524i
\(71\) −0.897109 5.08776i −0.106467 0.603806i −0.990624 0.136616i \(-0.956377\pi\)
0.884157 0.467190i \(-0.154734\pi\)
\(72\) −0.0202217 + 2.99993i −0.00238316 + 0.353545i
\(73\) −13.5869 4.94524i −1.59023 0.578796i −0.612834 0.790212i \(-0.709971\pi\)
−0.977396 + 0.211415i \(0.932193\pi\)
\(74\) 3.72933 + 4.44444i 0.433526 + 0.516656i
\(75\) 1.75024 0.147184i 0.202101 0.0169954i
\(76\) −3.06793 + 3.09642i −0.351916 + 0.355184i
\(77\) 8.64294i 0.984954i
\(78\) 0.540040 + 0.543692i 0.0611475 + 0.0615610i
\(79\) −3.23544 + 8.88931i −0.364016 + 1.00013i 0.613580 + 0.789633i \(0.289729\pi\)
−0.977595 + 0.210493i \(0.932493\pi\)
\(80\) −1.96615 0.346685i −0.219822 0.0387606i
\(81\) 4.39452 + 7.85418i 0.488280 + 0.872687i
\(82\) 3.75563 1.36694i 0.414740 0.150953i
\(83\) 0.523324 + 0.302141i 0.0574423 + 0.0331643i 0.528446 0.848967i \(-0.322775\pi\)
−0.471004 + 0.882131i \(0.656108\pi\)
\(84\) 1.80123 + 2.59097i 0.196530 + 0.282698i
\(85\) 2.55719 + 2.14574i 0.277366 + 0.232738i
\(86\) −9.52025 7.98844i −1.02659 0.861415i
\(87\) −6.34904 9.13273i −0.680689 0.979131i
\(88\) 4.10844 + 2.37201i 0.437961 + 0.252857i
\(89\) −4.07161 + 1.48195i −0.431590 + 0.157086i −0.548675 0.836036i \(-0.684867\pi\)
0.117084 + 0.993122i \(0.462645\pi\)
\(90\) −5.64191 + 2.01052i −0.594710 + 0.211928i
\(91\) 0.793809 + 0.139970i 0.0832137 + 0.0146728i
\(92\) −2.06145 + 5.66379i −0.214921 + 0.590491i
\(93\) −6.88769 6.93427i −0.714220 0.719051i
\(94\) 10.7748i 1.11133i
\(95\) −7.90401 3.64132i −0.810935 0.373592i
\(96\) −1.72596 + 0.145142i −0.176155 + 0.0148135i
\(97\) 1.64505 + 1.96049i 0.167029 + 0.199057i 0.843066 0.537810i \(-0.180748\pi\)
−0.676037 + 0.736868i \(0.736304\pi\)
\(98\) −3.45884 1.25891i −0.349395 0.127170i
\(99\) 14.2317 + 0.0959322i 1.43034 + 0.00964155i
\(100\) 0.176091 + 0.998664i 0.0176091 + 0.0998664i
\(101\) 2.72562 + 7.48859i 0.271210 + 0.745142i 0.998283 + 0.0585821i \(0.0186579\pi\)
−0.727073 + 0.686560i \(0.759120\pi\)
\(102\) 2.62056 + 1.23276i 0.259475 + 0.122061i
\(103\) −13.3041 + 7.68115i −1.31090 + 0.756846i −0.982245 0.187605i \(-0.939927\pi\)
−0.328651 + 0.944451i \(0.606594\pi\)
\(104\) −0.284391 + 0.338924i −0.0278869 + 0.0332343i
\(105\) −3.63091 + 5.14845i −0.354340 + 0.502438i
\(106\) −1.22337 2.11894i −0.118825 0.205810i
\(107\) 9.34857 16.1922i 0.903760 1.56536i 0.0811876 0.996699i \(-0.474129\pi\)
0.822573 0.568660i \(-0.192538\pi\)
\(108\) −4.28636 + 2.93720i −0.412455 + 0.282632i
\(109\) −11.2420 + 1.98227i −1.07679 + 0.189867i −0.683795 0.729674i \(-0.739672\pi\)
−0.392994 + 0.919541i \(0.628561\pi\)
\(110\) −1.64468 + 9.32743i −0.156814 + 0.889336i
\(111\) −2.63358 + 9.69779i −0.249968 + 0.920473i
\(112\) −1.39563 + 1.17107i −0.131874 + 0.110656i
\(113\) 0.594179 0.0558957 0.0279478 0.999609i \(-0.491103\pi\)
0.0279478 + 0.999609i \(0.491103\pi\)
\(114\) −7.43677 1.30171i −0.696517 0.121916i
\(115\) −12.0333 −1.12212
\(116\) 4.91935 4.12783i 0.456751 0.383259i
\(117\) −0.239289 + 1.30556i −0.0221223 + 0.120699i
\(118\) 0.877647 4.97738i 0.0807940 0.458205i
\(119\) 2.99993 0.528968i 0.275003 0.0484905i
\(120\) −1.45084 3.13892i −0.132443 0.286543i
\(121\) 5.75283 9.96419i 0.522984 0.905835i
\(122\) 5.18894 + 8.98751i 0.469784 + 0.813691i
\(123\) 5.65709 + 3.98962i 0.510083 + 0.359732i
\(124\) 3.62714 4.32265i 0.325727 0.388186i
\(125\) −10.3983 + 6.00348i −0.930056 + 0.536968i
\(126\) −1.90392 + 5.12325i −0.169614 + 0.456416i
\(127\) 4.51501 + 12.4049i 0.400642 + 1.10076i 0.961968 + 0.273161i \(0.0880691\pi\)
−0.561326 + 0.827595i \(0.689709\pi\)
\(128\) −0.173648 0.984808i −0.0153485 0.0870455i
\(129\) 1.94834 21.4372i 0.171542 1.88744i
\(130\) −0.830041 0.302110i −0.0727994 0.0264968i
\(131\) 4.54726 + 5.41921i 0.397296 + 0.473479i 0.927193 0.374583i \(-0.122214\pi\)
−0.529898 + 0.848062i \(0.677770\pi\)
\(132\) 0.688555 + 8.18797i 0.0599311 + 0.712671i
\(133\) −7.18169 + 3.38937i −0.622731 + 0.293896i
\(134\) 8.19960i 0.708337i
\(135\) −8.43730 6.03590i −0.726167 0.519488i
\(136\) −0.571868 + 1.57119i −0.0490373 + 0.134729i
\(137\) 9.23589 + 1.62854i 0.789075 + 0.139135i 0.553641 0.832755i \(-0.313238\pi\)
0.235434 + 0.971890i \(0.424349\pi\)
\(138\) −10.0929 + 2.66796i −0.859164 + 0.227111i
\(139\) 10.1792 3.70494i 0.863392 0.314249i 0.127904 0.991787i \(-0.459175\pi\)
0.735488 + 0.677538i \(0.236953\pi\)
\(140\) −3.15000 1.81865i −0.266224 0.153704i
\(141\) 15.3233 10.6527i 1.29046 0.897122i
\(142\) 3.95758 + 3.32080i 0.332112 + 0.278675i
\(143\) 1.60786 + 1.34916i 0.134456 + 0.112822i
\(144\) −1.91283 2.31108i −0.159402 0.192590i
\(145\) 11.1032 + 6.41046i 0.922074 + 0.532359i
\(146\) 13.5869 4.94524i 1.12446 0.409271i
\(147\) −1.62930 6.16366i −0.134383 0.508370i
\(148\) −5.71366 1.00747i −0.469660 0.0828137i
\(149\) 3.85231 10.5841i 0.315594 0.867086i −0.675907 0.736987i \(-0.736248\pi\)
0.991501 0.130100i \(-0.0415297\pi\)
\(150\) −1.24616 + 1.23778i −0.101748 + 0.101065i
\(151\) 3.54669i 0.288625i −0.989532 0.144313i \(-0.953903\pi\)
0.989532 0.144313i \(-0.0460971\pi\)
\(152\) 0.359831 4.34402i 0.0291861 0.352347i
\(153\) 0.837717 + 4.94564i 0.0677254 + 0.399832i
\(154\) 5.55557 + 6.62087i 0.447681 + 0.533525i
\(155\) 10.5864 + 3.85312i 0.850318 + 0.309490i
\(156\) −0.763173 0.0693616i −0.0611028 0.00555337i
\(157\) −0.0548481 0.311059i −0.00437736 0.0248252i 0.982541 0.186047i \(-0.0595677\pi\)
−0.986918 + 0.161222i \(0.948457\pi\)
\(158\) −3.23544 8.88931i −0.257398 0.707196i
\(159\) 1.80394 3.83477i 0.143062 0.304117i
\(160\) 1.72900 0.998240i 0.136690 0.0789178i
\(161\) −7.05837 + 8.41184i −0.556277 + 0.662946i
\(162\) −8.41497 3.19191i −0.661142 0.250780i
\(163\) 0.624535 + 1.08173i 0.0489174 + 0.0847274i 0.889447 0.457038i \(-0.151090\pi\)
−0.840530 + 0.541765i \(0.817756\pi\)
\(164\) −1.99833 + 3.46120i −0.156043 + 0.270275i
\(165\) −14.8911 + 6.88283i −1.15927 + 0.535827i
\(166\) −0.595102 + 0.104933i −0.0461889 + 0.00814435i
\(167\) −0.177553 + 1.00695i −0.0137395 + 0.0779205i −0.990907 0.134552i \(-0.957040\pi\)
0.977167 + 0.212472i \(0.0681516\pi\)
\(168\) −3.04526 0.826987i −0.234947 0.0638034i
\(169\) 9.80863 8.23041i 0.754510 0.633109i
\(170\) −3.33817 −0.256026
\(171\) −5.50132 11.8632i −0.420697 0.907201i
\(172\) 12.4278 0.947611
\(173\) 11.5762 9.71361i 0.880124 0.738512i −0.0860802 0.996288i \(-0.527434\pi\)
0.966205 + 0.257776i \(0.0829897\pi\)
\(174\) 10.7341 + 2.91499i 0.813746 + 0.220985i
\(175\) −0.320814 + 1.81943i −0.0242513 + 0.137536i
\(176\) −4.67194 + 0.823789i −0.352161 + 0.0620954i
\(177\) 7.94631 3.67287i 0.597281 0.276070i
\(178\) 2.16646 3.75242i 0.162383 0.281256i
\(179\) −2.97218 5.14797i −0.222151 0.384777i 0.733310 0.679895i \(-0.237974\pi\)
−0.955461 + 0.295118i \(0.904641\pi\)
\(180\) 3.02961 5.16670i 0.225814 0.385103i
\(181\) −4.17230 + 4.97236i −0.310125 + 0.369593i −0.898483 0.439008i \(-0.855330\pi\)
0.588358 + 0.808600i \(0.299774\pi\)
\(182\) −0.698064 + 0.403027i −0.0517439 + 0.0298744i
\(183\) −7.65143 + 16.2652i −0.565610 + 1.20236i
\(184\) −2.06145 5.66379i −0.151972 0.417540i
\(185\) −2.01140 11.4072i −0.147881 0.838675i
\(186\) 9.73354 + 0.884640i 0.713698 + 0.0648650i
\(187\) 7.45377 + 2.71295i 0.545073 + 0.198390i
\(188\) 6.92588 + 8.25394i 0.505121 + 0.601980i
\(189\) −9.16841 + 2.35758i −0.666904 + 0.171488i
\(190\) 8.39542 2.29119i 0.609068 0.166220i
\(191\) 23.8639i 1.72673i 0.504577 + 0.863367i \(0.331648\pi\)
−0.504577 + 0.863367i \(0.668352\pi\)
\(192\) 1.22887 1.22061i 0.0886857 0.0880899i
\(193\) −0.726280 + 1.99544i −0.0522788 + 0.143635i −0.963084 0.269202i \(-0.913240\pi\)
0.910805 + 0.412837i \(0.135462\pi\)
\(194\) −2.52036 0.444407i −0.180951 0.0319065i
\(195\) −0.390995 1.47913i −0.0279997 0.105923i
\(196\) 3.45884 1.25891i 0.247060 0.0899225i
\(197\) −3.27574 1.89125i −0.233387 0.134746i 0.378747 0.925500i \(-0.376355\pi\)
−0.612133 + 0.790755i \(0.709688\pi\)
\(198\) −10.9638 + 9.07448i −0.779163 + 0.644895i
\(199\) −10.5692 8.86860i −0.749230 0.628679i 0.186069 0.982537i \(-0.440425\pi\)
−0.935299 + 0.353858i \(0.884870\pi\)
\(200\) −0.776823 0.651831i −0.0549296 0.0460914i
\(201\) −11.6611 + 8.10675i −0.822510 + 0.571806i
\(202\) −6.90152 3.98459i −0.485589 0.280355i
\(203\) 10.9940 4.00149i 0.771627 0.280849i
\(204\) −2.79987 + 0.740118i −0.196030 + 0.0518186i
\(205\) −7.85802 1.38558i −0.548828 0.0967731i
\(206\) 5.25422 14.4358i 0.366079 1.00579i
\(207\) −13.7728 11.7159i −0.957278 0.814311i
\(208\) 0.442434i 0.0306773i
\(209\) −20.6081 1.70704i −1.42549 0.118078i
\(210\) −0.527926 6.27785i −0.0364304 0.433213i
\(211\) 10.3613 + 12.3481i 0.713299 + 0.850077i 0.993961 0.109730i \(-0.0349985\pi\)
−0.280662 + 0.959807i \(0.590554\pi\)
\(212\) 2.29919 + 0.836837i 0.157909 + 0.0574742i
\(213\) −0.809926 + 8.91147i −0.0554952 + 0.610604i
\(214\) 3.24672 + 18.4131i 0.221941 + 1.25869i
\(215\) 8.48615 + 23.3155i 0.578751 + 1.59010i
\(216\) 1.39554 5.00524i 0.0949546 0.340564i
\(217\) 8.90313 5.14022i 0.604384 0.348941i
\(218\) 7.33769 8.74472i 0.496971 0.592267i
\(219\) 20.4660 + 14.4335i 1.38296 + 0.975323i
\(220\) −4.73566 8.20241i −0.319278 0.553006i
\(221\) −0.369882 + 0.640654i −0.0248809 + 0.0430951i
\(222\) −4.21618 9.12177i −0.282971 0.612213i
\(223\) 1.05803 0.186559i 0.0708508 0.0124929i −0.138110 0.990417i \(-0.544103\pi\)
0.208961 + 0.977924i \(0.432992\pi\)
\(224\) 0.316363 1.79418i 0.0211379 0.119879i
\(225\) −2.99236 0.548457i −0.199491 0.0365638i
\(226\) −0.455168 + 0.381931i −0.0302773 + 0.0254057i
\(227\) 18.7633 1.24536 0.622682 0.782475i \(-0.286043\pi\)
0.622682 + 0.782475i \(0.286043\pi\)
\(228\) 6.53362 3.78310i 0.432700 0.250542i
\(229\) −11.6264 −0.768296 −0.384148 0.923271i \(-0.625505\pi\)
−0.384148 + 0.923271i \(0.625505\pi\)
\(230\) 9.21808 7.73488i 0.607822 0.510023i
\(231\) −3.92323 + 14.4468i −0.258130 + 0.950528i
\(232\) −1.11513 + 6.32420i −0.0732117 + 0.415204i
\(233\) 16.0133 2.82357i 1.04907 0.184979i 0.377565 0.925983i \(-0.376761\pi\)
0.671500 + 0.741004i \(0.265650\pi\)
\(234\) −0.655888 1.15393i −0.0428768 0.0754345i
\(235\) −10.7558 + 18.6296i −0.701630 + 1.21526i
\(236\) 2.52708 + 4.37704i 0.164499 + 0.284921i
\(237\) 9.44315 13.3899i 0.613399 0.869770i
\(238\) −1.95806 + 2.33353i −0.126922 + 0.151260i
\(239\) −5.90043 + 3.40661i −0.381667 + 0.220356i −0.678543 0.734560i \(-0.737388\pi\)
0.296876 + 0.954916i \(0.404055\pi\)
\(240\) 3.12907 + 1.47197i 0.201981 + 0.0950152i
\(241\) −6.63839 18.2388i −0.427616 1.17487i −0.947255 0.320480i \(-0.896156\pi\)
0.519639 0.854386i \(-0.326066\pi\)
\(242\) 1.99794 + 11.3309i 0.128432 + 0.728375i
\(243\) −3.78029 15.1231i −0.242506 0.970150i
\(244\) −9.75201 3.54944i −0.624309 0.227230i
\(245\) 4.72364 + 5.62942i 0.301782 + 0.359650i
\(246\) −6.89806 + 0.580082i −0.439804 + 0.0369847i
\(247\) 0.490525 1.86510i 0.0312114 0.118674i
\(248\) 5.64282i 0.358320i
\(249\) −0.737593 0.742582i −0.0467431 0.0470592i
\(250\) 4.10662 11.2829i 0.259726 0.713591i
\(251\) −16.8226 2.96628i −1.06183 0.187230i −0.384664 0.923057i \(-0.625683\pi\)
−0.677170 + 0.735827i \(0.736794\pi\)
\(252\) −1.83468 5.14845i −0.115574 0.324322i
\(253\) −26.8691 + 9.77955i −1.68925 + 0.614835i
\(254\) −11.4324 6.60050i −0.717333 0.414152i
\(255\) −3.30037 4.74739i −0.206677 0.297293i
\(256\) 0.766044 + 0.642788i 0.0478778 + 0.0401742i
\(257\) −12.1113 10.1626i −0.755485 0.633927i 0.181462 0.983398i \(-0.441917\pi\)
−0.936947 + 0.349471i \(0.886361\pi\)
\(258\) 12.2871 + 17.6742i 0.764960 + 1.10035i
\(259\) −9.15396 5.28504i −0.568800 0.328397i
\(260\) 0.830041 0.302110i 0.0514770 0.0187361i
\(261\) 6.46694 + 18.1474i 0.400293 + 1.12330i
\(262\) −6.96680 1.22844i −0.430410 0.0758930i
\(263\) −0.888930 + 2.44232i −0.0548138 + 0.150600i −0.964078 0.265620i \(-0.914423\pi\)
0.909264 + 0.416220i \(0.136645\pi\)
\(264\) −5.79059 5.82975i −0.356386 0.358797i
\(265\) 4.88488i 0.300076i
\(266\) 3.32284 7.21271i 0.203737 0.442239i
\(267\) 7.47844 0.628889i 0.457673 0.0384874i
\(268\) −5.27060 6.28126i −0.321953 0.383689i
\(269\) −29.9875 10.9146i −1.82837 0.665473i −0.993333 0.115281i \(-0.963223\pi\)
−0.835039 0.550191i \(-0.814555\pi\)
\(270\) 10.3431 0.799618i 0.629464 0.0486632i
\(271\) −3.48942 19.7895i −0.211967 1.20212i −0.886093 0.463508i \(-0.846590\pi\)
0.674126 0.738617i \(-0.264521\pi\)
\(272\) −0.571868 1.57119i −0.0346746 0.0952676i
\(273\) −1.26333 0.594290i −0.0764599 0.0359681i
\(274\) −8.12190 + 4.68918i −0.490662 + 0.283284i
\(275\) −3.09230 + 3.68526i −0.186473 + 0.222229i
\(276\) 6.01667 8.53136i 0.362161 0.513527i
\(277\) 4.04017 + 6.99778i 0.242750 + 0.420456i 0.961497 0.274816i \(-0.0886171\pi\)
−0.718746 + 0.695272i \(0.755284\pi\)
\(278\) −5.41626 + 9.38124i −0.324846 + 0.562649i
\(279\) 8.36522 + 14.7172i 0.500813 + 0.881096i
\(280\) 3.58205 0.631612i 0.214068 0.0377460i
\(281\) −2.05091 + 11.6313i −0.122347 + 0.693866i 0.860501 + 0.509449i \(0.170151\pi\)
−0.982848 + 0.184417i \(0.940960\pi\)
\(282\) −4.89092 + 18.0101i −0.291250 + 1.07249i
\(283\) 11.0055 9.23472i 0.654210 0.548947i −0.254135 0.967169i \(-0.581791\pi\)
0.908345 + 0.418221i \(0.137346\pi\)
\(284\) −5.16625 −0.306560
\(285\) 11.5588 + 9.67434i 0.684682 + 0.573058i
\(286\) −2.09891 −0.124111
\(287\) −5.57784 + 4.68036i −0.329249 + 0.276273i
\(288\) 2.95084 + 0.540847i 0.173880 + 0.0318697i
\(289\) 2.46655 13.9885i 0.145091 0.822854i
\(290\) −12.6261 + 2.22633i −0.741432 + 0.130734i
\(291\) −1.85980 4.02371i −0.109023 0.235874i
\(292\) −7.22946 + 12.5218i −0.423072 + 0.732782i
\(293\) 0.00324263 + 0.00561639i 0.000189436 + 0.000328113i 0.866120 0.499836i \(-0.166606\pi\)
−0.865931 + 0.500164i \(0.833273\pi\)
\(294\) 5.21004 + 3.67434i 0.303856 + 0.214292i
\(295\) −6.48608 + 7.72981i −0.377634 + 0.450047i
\(296\) 5.02451 2.90090i 0.292044 0.168611i
\(297\) −23.7449 6.62047i −1.37782 0.384158i
\(298\) 3.85231 + 10.5841i 0.223158 + 0.613122i
\(299\) −0.463063 2.62616i −0.0267797 0.151875i
\(300\) 0.158978 1.74921i 0.00917862 0.100991i
\(301\) 21.2763 + 7.74393i 1.22634 + 0.446353i
\(302\) 2.27977 + 2.71692i 0.131186 + 0.156341i
\(303\) −1.15666 13.7545i −0.0664486 0.790175i
\(304\) 2.51664 + 3.55901i 0.144339 + 0.204123i
\(305\) 20.7192i 1.18638i
\(306\) −3.82073 3.25011i −0.218416 0.185796i
\(307\) 4.66013 12.8036i 0.265968 0.730741i −0.732768 0.680478i \(-0.761772\pi\)
0.998736 0.0502623i \(-0.0160057\pi\)
\(308\) −8.51163 1.50083i −0.484995 0.0855177i
\(309\) 25.7247 6.80007i 1.46343 0.386842i
\(310\) −10.5864 + 3.85312i −0.601266 + 0.218843i
\(311\) −10.1422 5.85560i −0.575111 0.332041i 0.184077 0.982912i \(-0.441070\pi\)
−0.759188 + 0.650871i \(0.774404\pi\)
\(312\) 0.629209 0.437424i 0.0356220 0.0247643i
\(313\) 1.34587 + 1.12932i 0.0760730 + 0.0638328i 0.680031 0.733183i \(-0.261966\pi\)
−0.603958 + 0.797016i \(0.706411\pi\)
\(314\) 0.241961 + 0.203030i 0.0136547 + 0.0114576i
\(315\) 8.40611 6.95755i 0.473631 0.392013i
\(316\) 8.19243 + 4.72990i 0.460860 + 0.266078i
\(317\) 6.59148 2.39910i 0.370214 0.134747i −0.150211 0.988654i \(-0.547995\pi\)
0.520426 + 0.853907i \(0.325773\pi\)
\(318\) 1.08304 + 4.09716i 0.0607341 + 0.229757i
\(319\) 30.0021 + 5.29018i 1.67979 + 0.296193i
\(320\) −0.682836 + 1.87608i −0.0381717 + 0.104876i
\(321\) −22.9763 + 22.8219i −1.28241 + 1.27380i
\(322\) 10.9809i 0.611940i
\(323\) −0.668758 7.25746i −0.0372107 0.403816i
\(324\) 8.49796 2.96389i 0.472109 0.164661i
\(325\) −0.288393 0.343693i −0.0159971 0.0190647i
\(326\) −1.17374 0.427207i −0.0650076 0.0236608i
\(327\) 19.6909 + 1.78963i 1.08891 + 0.0989666i
\(328\) −0.694012 3.93594i −0.0383204 0.217326i
\(329\) 6.71389 + 18.4463i 0.370149 + 1.01698i
\(330\) 6.98304 14.8444i 0.384404 0.817155i
\(331\) −1.36720 + 0.789353i −0.0751481 + 0.0433868i −0.537103 0.843517i \(-0.680481\pi\)
0.461955 + 0.886903i \(0.347148\pi\)
\(332\) 0.388425 0.462907i 0.0213176 0.0254053i
\(333\) 8.80411 15.0145i 0.482462 0.822791i
\(334\) −0.511244 0.885501i −0.0279740 0.0484525i
\(335\) 8.18517 14.1771i 0.447203 0.774579i
\(336\) 2.86438 1.32395i 0.156265 0.0722274i
\(337\) 32.2083 5.67918i 1.75450 0.309365i 0.798336 0.602212i \(-0.205714\pi\)
0.956159 + 0.292847i \(0.0946028\pi\)
\(338\) −2.22343 + 12.6097i −0.120939 + 0.685879i
\(339\) −0.993178 0.269712i −0.0539420 0.0146488i
\(340\) 2.55719 2.14574i 0.138683 0.116369i
\(341\) 26.7696 1.44966
\(342\) 11.8398 + 5.55155i 0.640222 + 0.300194i
\(343\) 19.4590 1.05069
\(344\) −9.52025 + 7.98844i −0.513297 + 0.430708i
\(345\) 20.1139 + 5.46222i 1.08289 + 0.294076i
\(346\) −2.62412 + 14.8821i −0.141073 + 0.800067i
\(347\) −2.28496 + 0.402900i −0.122663 + 0.0216288i −0.234643 0.972082i \(-0.575392\pi\)
0.111980 + 0.993711i \(0.464281\pi\)
\(348\) −10.0965 + 4.66670i −0.541228 + 0.250162i
\(349\) 6.90604 11.9616i 0.369672 0.640291i −0.619842 0.784727i \(-0.712803\pi\)
0.989514 + 0.144436i \(0.0461367\pi\)
\(350\) −0.923748 1.59998i −0.0493764 0.0855224i
\(351\) 0.992598 2.07363i 0.0529809 0.110682i
\(352\) 3.04939 3.63412i 0.162533 0.193699i
\(353\) 12.6233 7.28806i 0.671870 0.387904i −0.124915 0.992167i \(-0.539866\pi\)
0.796785 + 0.604263i \(0.206532\pi\)
\(354\) −3.72635 + 7.92137i −0.198053 + 0.421016i
\(355\) −3.52770 9.69228i −0.187231 0.514413i
\(356\) 0.752404 + 4.26709i 0.0398773 + 0.226156i
\(357\) −5.25453 0.477562i −0.278099 0.0252753i
\(358\) 5.58587 + 2.03309i 0.295222 + 0.107452i
\(359\) −12.4925 14.8880i −0.659331 0.785760i 0.327959 0.944692i \(-0.393639\pi\)
−0.987290 + 0.158932i \(0.949195\pi\)
\(360\) 1.00027 + 5.90532i 0.0527190 + 0.311238i
\(361\) 6.66313 + 17.7933i 0.350691 + 0.936491i
\(362\) 6.49095i 0.341157i
\(363\) −14.1389 + 14.0439i −0.742100 + 0.737115i
\(364\) 0.275687 0.757443i 0.0144499 0.0397008i
\(365\) −28.4284 5.01269i −1.48801 0.262376i
\(366\) −4.59373 17.3781i −0.240118 0.908368i
\(367\) −7.10474 + 2.58591i −0.370865 + 0.134984i −0.520727 0.853723i \(-0.674339\pi\)
0.149863 + 0.988707i \(0.452117\pi\)
\(368\) 5.21978 + 3.01364i 0.272100 + 0.157097i
\(369\) −7.64491 9.23659i −0.397978 0.480837i
\(370\) 8.87323 + 7.44553i 0.461297 + 0.387074i
\(371\) 3.41475 + 2.86531i 0.177285 + 0.148760i
\(372\) −8.02496 + 5.57892i −0.416075 + 0.289254i
\(373\) −5.00566 2.89002i −0.259183 0.149640i 0.364779 0.931094i \(-0.381145\pi\)
−0.623962 + 0.781455i \(0.714478\pi\)
\(374\) −7.45377 + 2.71295i −0.385425 + 0.140283i
\(375\) 20.1061 5.31484i 1.03827 0.274457i
\(376\) −10.6111 1.87102i −0.547224 0.0964903i
\(377\) −0.971750 + 2.66986i −0.0500477 + 0.137505i
\(378\) 5.50799 7.69935i 0.283300 0.396012i
\(379\) 31.0884i 1.59690i 0.602058 + 0.798452i \(0.294347\pi\)
−0.602058 + 0.798452i \(0.705653\pi\)
\(380\) −4.95852 + 7.15162i −0.254367 + 0.366871i
\(381\) −1.91602 22.7844i −0.0981607 1.16728i
\(382\) −15.3394 18.2808i −0.784834 0.935329i
\(383\) 6.29971 + 2.29291i 0.321900 + 0.117162i 0.497916 0.867225i \(-0.334099\pi\)
−0.176016 + 0.984387i \(0.556321\pi\)
\(384\) −0.156773 + 1.72494i −0.00800027 + 0.0880255i
\(385\) −2.99638 16.9933i −0.152709 0.866058i
\(386\) −0.726280 1.99544i −0.0369667 0.101565i
\(387\) −12.9875 + 34.9482i −0.660194 + 1.77652i
\(388\) 2.21636 1.27962i 0.112519 0.0649628i
\(389\) −22.9366 + 27.3348i −1.16293 + 1.38593i −0.254933 + 0.966959i \(0.582053\pi\)
−0.908000 + 0.418971i \(0.862391\pi\)
\(390\) 1.25029 + 0.881756i 0.0633108 + 0.0446495i
\(391\) −5.03890 8.72763i −0.254828 0.441375i
\(392\) −1.84041 + 3.18768i −0.0929547 + 0.161002i
\(393\) −5.14089 11.1224i −0.259323 0.561050i
\(394\) 3.72503 0.656824i 0.187664 0.0330903i
\(395\) −3.27957 + 18.5994i −0.165013 + 0.935837i
\(396\) 2.56579 13.9988i 0.128936 0.703468i
\(397\) −23.1763 + 19.4472i −1.16319 + 0.976029i −0.999944 0.0105571i \(-0.996640\pi\)
−0.163242 + 0.986586i \(0.552195\pi\)
\(398\) 13.7971 0.691586
\(399\) 13.5428 2.40544i 0.677988 0.120422i
\(400\) 1.01407 0.0507035
\(401\) 14.3394 12.0322i 0.716074 0.600858i −0.210222 0.977654i \(-0.567419\pi\)
0.926296 + 0.376796i \(0.122974\pi\)
\(402\) 3.72199 13.7057i 0.185636 0.683580i
\(403\) −0.433526 + 2.45865i −0.0215955 + 0.122474i
\(404\) 7.84812 1.38383i 0.390458 0.0688484i
\(405\) 11.3632 + 13.9190i 0.564642 + 0.691640i
\(406\) −5.84978 + 10.1321i −0.290320 + 0.502848i
\(407\) −13.7619 23.8363i −0.682153 1.18152i
\(408\) 1.66909 2.36669i 0.0826321 0.117168i
\(409\) −9.76955 + 11.6429i −0.483073 + 0.575704i −0.951442 0.307829i \(-0.900398\pi\)
0.468369 + 0.883533i \(0.344842\pi\)
\(410\) 6.91022 3.98962i 0.341272 0.197033i
\(411\) −14.6987 6.91451i −0.725032 0.341067i
\(412\) 5.25422 + 14.4358i 0.258857 + 0.711203i
\(413\) 1.59895 + 9.06811i 0.0786793 + 0.446212i
\(414\) 18.0814 + 0.121882i 0.888654 + 0.00599018i
\(415\) 1.13368 + 0.412626i 0.0556502 + 0.0202550i
\(416\) 0.284391 + 0.338924i 0.0139434 + 0.0166171i
\(417\) −18.6965 + 1.57225i −0.915571 + 0.0769936i
\(418\) 16.8840 11.9390i 0.825822 0.583953i
\(419\) 6.74268i 0.329402i 0.986344 + 0.164701i \(0.0526659\pi\)
−0.986344 + 0.164701i \(0.947334\pi\)
\(420\) 4.43974 + 4.46977i 0.216637 + 0.218102i
\(421\) 5.11036 14.0406i 0.249064 0.684297i −0.750658 0.660691i \(-0.770263\pi\)
0.999721 0.0236056i \(-0.00751459\pi\)
\(422\) −15.8744 2.79908i −0.772753 0.136257i
\(423\) −30.4487 + 10.8506i −1.48047 + 0.527572i
\(424\) −2.29919 + 0.836837i −0.111659 + 0.0406404i
\(425\) −1.46839 0.847778i −0.0712276 0.0411233i
\(426\) −5.10775 7.34720i −0.247471 0.355973i
\(427\) −14.4836 12.1532i −0.700913 0.588136i
\(428\) −14.3228 12.0183i −0.692321 0.580926i
\(429\) −2.07515 2.98498i −0.100189 0.144116i
\(430\) −21.4877 12.4059i −1.03623 0.598267i
\(431\) 12.6508 4.60452i 0.609368 0.221792i −0.0188586 0.999822i \(-0.506003\pi\)
0.628227 + 0.778030i \(0.283781\pi\)
\(432\) 2.14826 + 4.73128i 0.103358 + 0.227634i
\(433\) 16.6663 + 2.93872i 0.800933 + 0.141226i 0.559109 0.829094i \(-0.311143\pi\)
0.241824 + 0.970320i \(0.422254\pi\)
\(434\) −3.51612 + 9.66046i −0.168779 + 0.463717i
\(435\) −15.6493 15.7552i −0.750328 0.755403i
\(436\) 11.4154i 0.546700i
\(437\) 18.6630 + 18.4913i 0.892772 + 0.884558i
\(438\) −24.9555 + 2.09860i −1.19242 + 0.100275i
\(439\) −9.65722 11.5090i −0.460914 0.549296i 0.484660 0.874702i \(-0.338943\pi\)
−0.945574 + 0.325407i \(0.894499\pi\)
\(440\) 8.90013 + 3.23938i 0.424297 + 0.154432i
\(441\) −0.0744326 + 11.0422i −0.00354441 + 0.525819i
\(442\) −0.128459 0.728525i −0.00611015 0.0346524i
\(443\) −12.6699 34.8103i −0.601966 1.65389i −0.747286 0.664503i \(-0.768643\pi\)
0.145320 0.989385i \(-0.453579\pi\)
\(444\) 9.09314 + 4.27757i 0.431541 + 0.203004i
\(445\) −7.49163 + 4.32529i −0.355137 + 0.205039i
\(446\) −0.690579 + 0.823000i −0.0326999 + 0.0389702i
\(447\) −11.2436 + 15.9429i −0.531803 + 0.754071i
\(448\) 0.910931 + 1.57778i 0.0430374 + 0.0745430i
\(449\) 5.81501 10.0719i 0.274427 0.475322i −0.695563 0.718465i \(-0.744845\pi\)
0.969991 + 0.243143i \(0.0781784\pi\)
\(450\) 2.64482 1.50331i 0.124678 0.0708668i
\(451\) −18.6721 + 3.29240i −0.879236 + 0.155033i
\(452\) 0.103178 0.585152i 0.00485309 0.0275233i
\(453\) −1.60993 + 5.92833i −0.0756409 + 0.278537i
\(454\) −14.3735 + 12.0608i −0.674583 + 0.566042i
\(455\) 1.60927 0.0754438
\(456\) −2.57332 + 7.09775i −0.120507 + 0.332383i
\(457\) 15.7379 0.736189 0.368094 0.929788i \(-0.380010\pi\)
0.368094 + 0.929788i \(0.380010\pi\)
\(458\) 8.90636 7.47333i 0.416167 0.349206i
\(459\) 0.844691 8.64696i 0.0394268 0.403606i
\(460\) −2.08957 + 11.8505i −0.0974266 + 0.552534i
\(461\) 5.96078 1.05105i 0.277621 0.0489521i −0.0331039 0.999452i \(-0.510539\pi\)
0.310725 + 0.950500i \(0.399428\pi\)
\(462\) −6.28083 13.5887i −0.292211 0.632202i
\(463\) 4.59401 7.95705i 0.213502 0.369796i −0.739306 0.673369i \(-0.764846\pi\)
0.952808 + 0.303574i \(0.0981798\pi\)
\(464\) −3.21088 5.56141i −0.149061 0.258182i
\(465\) −15.9462 11.2460i −0.739489 0.521518i
\(466\) −10.4519 + 12.4561i −0.484176 + 0.577019i
\(467\) −0.179338 + 0.103541i −0.00829879 + 0.00479131i −0.504144 0.863620i \(-0.668192\pi\)
0.495845 + 0.868411i \(0.334858\pi\)
\(468\) 1.24417 + 0.462361i 0.0575117 + 0.0213727i
\(469\) −5.10928 14.0376i −0.235925 0.648198i
\(470\) −3.73544 21.1848i −0.172303 0.977180i
\(471\) −0.0495179 + 0.544836i −0.00228166 + 0.0251047i
\(472\) −4.74937 1.72863i −0.218607 0.0795665i
\(473\) 37.8972 + 45.1642i 1.74252 + 2.07665i
\(474\) 1.37302 + 16.3272i 0.0630647 + 0.749935i
\(475\) 4.27485 + 1.12429i 0.196144 + 0.0515862i
\(476\) 3.04621i 0.139623i
\(477\) −4.75601 + 5.59102i −0.217763 + 0.255995i
\(478\) 2.33026 6.40234i 0.106584 0.292836i
\(479\) −4.92232 0.867938i −0.224907 0.0396571i 0.0600591 0.998195i \(-0.480871\pi\)
−0.284966 + 0.958538i \(0.591982\pi\)
\(480\) −3.34317 + 0.883735i −0.152594 + 0.0403368i
\(481\) 2.41211 0.877937i 0.109983 0.0400305i
\(482\) 16.8090 + 9.70467i 0.765628 + 0.442036i
\(483\) 15.6165 10.8565i 0.710575 0.493989i
\(484\) −8.81384 7.39569i −0.400629 0.336168i
\(485\) 3.91408 + 3.28430i 0.177729 + 0.149132i
\(486\) 12.6168 + 9.15508i 0.572311 + 0.415283i
\(487\) −23.4422 13.5344i −1.06227 0.613300i −0.136209 0.990680i \(-0.543492\pi\)
−0.926059 + 0.377380i \(0.876825\pi\)
\(488\) 9.75201 3.54944i 0.441453 0.160676i
\(489\) −0.552897 2.09161i −0.0250029 0.0945859i
\(490\) −7.23704 1.27608i −0.326936 0.0576476i
\(491\) −2.14701 + 5.89886i −0.0968931 + 0.266212i −0.978664 0.205466i \(-0.934129\pi\)
0.881771 + 0.471677i \(0.156351\pi\)
\(492\) 4.91135 4.87836i 0.221421 0.219933i
\(493\) 10.7374i 0.483587i
\(494\) 0.823100 + 1.74405i 0.0370330 + 0.0784687i
\(495\) 28.0149 4.74531i 1.25918 0.213286i
\(496\) −3.62714 4.32265i −0.162863 0.194093i
\(497\) −8.84457 3.21916i −0.396733 0.144399i
\(498\) 1.04235 + 0.0947350i 0.0467089 + 0.00424518i
\(499\) −3.81949 21.6614i −0.170984 0.969699i −0.942678 0.333704i \(-0.891701\pi\)
0.771694 0.635994i \(-0.219410\pi\)
\(500\) 4.10662 + 11.2829i 0.183654 + 0.504585i
\(501\) 0.753863 1.60254i 0.0336801 0.0715963i
\(502\) 14.7935 8.54106i 0.660268 0.381206i
\(503\) 6.51623 7.76574i 0.290544 0.346257i −0.600952 0.799285i \(-0.705212\pi\)
0.891496 + 0.453028i \(0.149656\pi\)
\(504\) 4.71481 + 2.76464i 0.210014 + 0.123147i
\(505\) 7.95516 + 13.7787i 0.354000 + 0.613146i
\(506\) 14.2967 24.7627i 0.635568 1.10084i
\(507\) −20.1312 + 9.30487i −0.894059 + 0.413244i
\(508\) 13.0005 2.29233i 0.576802 0.101706i
\(509\) 1.94826 11.0492i 0.0863553 0.489745i −0.910701 0.413067i \(-0.864457\pi\)
0.997056 0.0766782i \(-0.0244314\pi\)
\(510\) 5.57980 + 1.51528i 0.247078 + 0.0670976i
\(511\) −20.1793 + 16.9324i −0.892678 + 0.749045i
\(512\) −1.00000 −0.0441942
\(513\) 3.81054 + 22.3267i 0.168240 + 0.985746i
\(514\) 15.8102 0.697360
\(515\) −23.4950 + 19.7146i −1.03531 + 0.868730i
\(516\) −20.7732 5.64128i −0.914490 0.248343i
\(517\) −8.87612 + 50.3390i −0.390371 + 2.21391i
\(518\) 10.4095 1.83548i 0.457367 0.0806462i
\(519\) −23.7590 + 10.9817i −1.04291 + 0.482043i
\(520\) −0.441656 + 0.764970i −0.0193679 + 0.0335461i
\(521\) 22.3984 + 38.7951i 0.981290 + 1.69964i 0.657386 + 0.753554i \(0.271662\pi\)
0.323904 + 0.946090i \(0.395005\pi\)
\(522\) −16.6189 9.74488i −0.727390 0.426522i
\(523\) 25.4174 30.2913i 1.11143 1.32455i 0.170721 0.985319i \(-0.445390\pi\)
0.940705 0.339226i \(-0.110165\pi\)
\(524\) 6.12650 3.53714i 0.267638 0.154521i
\(525\) 1.36213 2.89557i 0.0594481 0.126373i
\(526\) −0.888930 2.44232i −0.0387592 0.106490i
\(527\) 1.63837 + 9.29163i 0.0713683 + 0.404750i
\(528\) 8.18314 + 0.743731i 0.356126 + 0.0323668i
\(529\) 12.5243 + 4.55849i 0.544536 + 0.198195i
\(530\) −3.13994 3.74203i −0.136390 0.162544i
\(531\) −14.9496 + 2.53223i −0.648756 + 0.109889i
\(532\) 2.09079 + 7.66114i 0.0906473 + 0.332152i
\(533\) 1.76826i 0.0765917i
\(534\) −5.32458 + 5.28881i −0.230417 + 0.228869i
\(535\) 12.7671 35.0773i 0.551969 1.51652i
\(536\) 8.07503 + 1.42385i 0.348788 + 0.0615008i
\(537\) 2.63125 + 9.95403i 0.113547 + 0.429548i
\(538\) 29.9875 10.9146i 1.29285 0.470560i
\(539\) 15.1224 + 8.73093i 0.651368 + 0.376068i
\(540\) −7.40933 + 7.26099i −0.318847 + 0.312463i
\(541\) 9.00083 + 7.55259i 0.386976 + 0.324711i 0.815434 0.578850i \(-0.196499\pi\)
−0.428458 + 0.903562i \(0.640943\pi\)
\(542\) 15.3935 + 12.9167i 0.661207 + 0.554818i
\(543\) 9.23113 6.41745i 0.396146 0.275399i
\(544\) 1.44802 + 0.836015i 0.0620834 + 0.0358438i
\(545\) −21.4162 + 7.79487i −0.917370 + 0.333895i
\(546\) 1.34977 0.356797i 0.0577646 0.0152695i
\(547\) 3.60851 + 0.636278i 0.154289 + 0.0272053i 0.250259 0.968179i \(-0.419484\pi\)
−0.0959702 + 0.995384i \(0.530595\pi\)
\(548\) 3.20759 8.81278i 0.137021 0.376463i
\(549\) 20.1726 23.7143i 0.860946 1.01210i
\(550\) 4.81076i 0.205131i
\(551\) −7.36969 27.0042i −0.313959 1.15042i
\(552\) 0.874812 + 10.4028i 0.0372345 + 0.442774i
\(553\) 11.0781 + 13.2024i 0.471089 + 0.561422i
\(554\) −7.59304 2.76364i −0.322597 0.117416i
\(555\) −1.81593 + 19.9803i −0.0770818 + 0.848117i
\(556\) −1.88105 10.6679i −0.0797742 0.452422i
\(557\) −4.53013 12.4464i −0.191948 0.527372i 0.805964 0.591965i \(-0.201647\pi\)
−0.997912 + 0.0645925i \(0.979425\pi\)
\(558\) −15.8682 5.89697i −0.671753 0.249639i
\(559\) −4.76183 + 2.74924i −0.201404 + 0.116281i
\(560\) −2.33802 + 2.78634i −0.0987993 + 0.117744i
\(561\) −11.2276 7.91817i −0.474029 0.334305i
\(562\) −5.90537 10.2284i −0.249103 0.431459i
\(563\) 2.30395 3.99056i 0.0970999 0.168182i −0.813383 0.581728i \(-0.802377\pi\)
0.910483 + 0.413546i \(0.135710\pi\)
\(564\) −7.83003 16.9404i −0.329704 0.713319i
\(565\) 1.16824 0.205993i 0.0491484 0.00866619i
\(566\) −2.49475 + 14.1484i −0.104862 + 0.594702i
\(567\) 16.3953 + 0.221042i 0.688536 + 0.00928290i
\(568\) 3.95758 3.32080i 0.166056 0.139338i
\(569\) −24.3659 −1.02147 −0.510736 0.859738i \(-0.670627\pi\)
−0.510736 + 0.859738i \(0.670627\pi\)
\(570\) −15.0731 + 0.0188610i −0.631342 + 0.000789999i
\(571\) −20.9944 −0.878589 −0.439294 0.898343i \(-0.644772\pi\)
−0.439294 + 0.898343i \(0.644772\pi\)
\(572\) 1.60786 1.34916i 0.0672281 0.0564110i
\(573\) 10.8324 39.8888i 0.452530 1.66638i
\(574\) 1.26439 7.17073i 0.0527748 0.299301i
\(575\) 6.01923 1.06135i 0.251019 0.0442614i
\(576\) −2.60813 + 1.48245i −0.108672 + 0.0617689i
\(577\) −2.59042 + 4.48675i −0.107841 + 0.186786i −0.914895 0.403691i \(-0.867727\pi\)
0.807055 + 0.590477i \(0.201060\pi\)
\(578\) 7.10216 + 12.3013i 0.295411 + 0.511667i
\(579\) 2.11976 3.00572i 0.0880943 0.124914i
\(580\) 8.24112 9.82139i 0.342194 0.407811i
\(581\) 0.953424 0.550460i 0.0395547 0.0228369i
\(582\) 4.01108 + 1.88688i 0.166265 + 0.0782137i
\(583\) 3.96996 + 10.9074i 0.164419 + 0.451738i
\(584\) −2.51076 14.2392i −0.103896 0.589224i
\(585\) −0.0178621 + 2.64987i −0.000738507 + 0.109559i
\(586\) −0.00609414 0.00221809i −0.000251747 9.16283e-5i
\(587\) −19.9370 23.7599i −0.822887 0.980678i 0.177107 0.984192i \(-0.443326\pi\)
−0.999994 + 0.00351357i \(0.998882\pi\)
\(588\) −6.35294 + 0.534241i −0.261991 + 0.0220317i
\(589\) −10.4978 22.2437i −0.432556 0.916536i
\(590\) 10.0905i 0.415421i
\(591\) 4.61695 + 4.64818i 0.189916 + 0.191201i
\(592\) −1.98433 + 5.45191i −0.0815556 + 0.224072i
\(593\) 19.0316 + 3.35579i 0.781536 + 0.137806i 0.550161 0.835059i \(-0.314566\pi\)
0.231375 + 0.972865i \(0.425678\pi\)
\(594\) 22.4452 10.1914i 0.920939 0.418157i
\(595\) 5.71492 2.08006i 0.234289 0.0852742i
\(596\) −9.75439 5.63170i −0.399555 0.230683i
\(597\) 13.6409 + 19.6216i 0.558283 + 0.803058i
\(598\) 2.04279 + 1.71411i 0.0835360 + 0.0700950i
\(599\) 14.4631 + 12.1360i 0.590946 + 0.495863i 0.888521 0.458836i \(-0.151733\pi\)
−0.297575 + 0.954698i \(0.596178\pi\)
\(600\) 1.00259 + 1.44216i 0.0409304 + 0.0588760i
\(601\) −9.35958 5.40376i −0.381785 0.220424i 0.296809 0.954937i \(-0.404077\pi\)
−0.678595 + 0.734513i \(0.737411\pi\)
\(602\) −21.2763 + 7.74393i −0.867156 + 0.315619i
\(603\) 23.1715 8.25728i 0.943616 0.336263i
\(604\) −3.49280 0.615876i −0.142120 0.0250596i
\(605\) 7.85648 21.5855i 0.319411 0.877575i
\(606\) 9.72727 + 9.79306i 0.395143 + 0.397816i
\(607\) 7.06408i 0.286722i 0.989670 + 0.143361i \(0.0457910\pi\)
−0.989670 + 0.143361i \(0.954209\pi\)
\(608\) −4.21554 1.10870i −0.170963 0.0449635i
\(609\) −20.1930 + 1.69810i −0.818260 + 0.0688104i
\(610\) 13.3181 + 15.8718i 0.539232 + 0.642632i
\(611\) −4.47963 1.63045i −0.181226 0.0659610i
\(612\) 5.01598 + 0.0338114i 0.202759 + 0.00136674i
\(613\) −5.48141 31.0866i −0.221392 1.25558i −0.869463 0.493998i \(-0.835535\pi\)
0.648071 0.761580i \(-0.275576\pi\)
\(614\) 4.66013 + 12.8036i 0.188068 + 0.516712i
\(615\) 12.5058 + 5.88296i 0.504283 + 0.237224i
\(616\) 7.48500 4.32147i 0.301579 0.174117i
\(617\) 19.6647 23.4355i 0.791672 0.943478i −0.207725 0.978187i \(-0.566606\pi\)
0.999397 + 0.0347092i \(0.0110505\pi\)
\(618\) −15.3353 + 21.7447i −0.616874 + 0.874699i
\(619\) 21.8906 + 37.9157i 0.879859 + 1.52396i 0.851494 + 0.524364i \(0.175697\pi\)
0.0283650 + 0.999598i \(0.490970\pi\)
\(620\) 5.63289 9.75645i 0.226222 0.391829i
\(621\) 17.7033 + 25.8351i 0.710411 + 1.03673i
\(622\) 11.5333 2.03363i 0.462442 0.0815411i
\(623\) −1.37078 + 7.77406i −0.0549190 + 0.311461i
\(624\) −0.200832 + 0.739534i −0.00803969 + 0.0296051i
\(625\) −14.4792 + 12.1495i −0.579170 + 0.485981i
\(626\) −1.75691 −0.0702201
\(627\) 33.6718 + 12.2078i 1.34472 + 0.487534i
\(628\) −0.315858 −0.0126041
\(629\) 7.43124 6.23555i 0.296303 0.248628i
\(630\) −1.96723 + 10.7331i −0.0783763 + 0.427618i
\(631\) 0.0934107 0.529758i 0.00371862 0.0210893i −0.982892 0.184183i \(-0.941036\pi\)
0.986611 + 0.163094i \(0.0521472\pi\)
\(632\) −9.31609 + 1.64268i −0.370574 + 0.0653422i
\(633\) −11.7139 25.3432i −0.465586 1.00730i
\(634\) −3.50725 + 6.07474i −0.139291 + 0.241259i
\(635\) 13.1778 + 22.8246i 0.522944 + 0.905765i
\(636\) −3.46326 2.44244i −0.137327 0.0968490i
\(637\) −1.04679 + 1.24752i −0.0414755 + 0.0494285i
\(638\) −26.3834 + 15.2325i −1.04453 + 0.603059i
\(639\) 5.39893 14.5280i 0.213578 0.574719i
\(640\) −0.682836 1.87608i −0.0269915 0.0741585i
\(641\) −4.01897 22.7927i −0.158740 0.900259i −0.955287 0.295682i \(-0.904453\pi\)
0.796547 0.604577i \(-0.206658\pi\)
\(642\) 2.93120 32.2515i 0.115685 1.27286i
\(643\) −8.18931 2.98066i −0.322955 0.117546i 0.175455 0.984487i \(-0.443860\pi\)
−0.498410 + 0.866941i \(0.666083\pi\)
\(644\) 7.05837 + 8.41184i 0.278139 + 0.331473i
\(645\) −3.60124 42.8242i −0.141799 1.68620i
\(646\) 5.17731 + 5.12967i 0.203698 + 0.201824i
\(647\) 39.9441i 1.57037i 0.619264 + 0.785183i \(0.287431\pi\)
−0.619264 + 0.785183i \(0.712569\pi\)
\(648\) −4.60466 + 7.73286i −0.180888 + 0.303775i
\(649\) −8.20063 + 22.5310i −0.321903 + 0.884421i
\(650\) 0.441843 + 0.0779089i 0.0173305 + 0.00305584i
\(651\) −17.2150 + 4.55060i −0.674707 + 0.178352i
\(652\) 1.17374 0.427207i 0.0459673 0.0167307i
\(653\) −1.49337 0.862200i −0.0584402 0.0337405i 0.470495 0.882403i \(-0.344075\pi\)
−0.528935 + 0.848662i \(0.677409\pi\)
\(654\) −16.2345 + 11.2862i −0.634819 + 0.441324i
\(655\) 10.8193 + 9.07851i 0.422747 + 0.354727i
\(656\) 3.06162 + 2.56900i 0.119536 + 0.100303i
\(657\) −27.6574 33.4157i −1.07902 1.30367i
\(658\) −17.0002 9.81505i −0.662736 0.382631i
\(659\) 22.0705 8.03300i 0.859744 0.312921i 0.125737 0.992064i \(-0.459870\pi\)
0.734006 + 0.679142i \(0.237648\pi\)
\(660\) 4.19245 + 15.8601i 0.163191 + 0.617352i
\(661\) 10.0686 + 1.77536i 0.391622 + 0.0690535i 0.365992 0.930618i \(-0.380730\pi\)
0.0256300 + 0.999671i \(0.491841\pi\)
\(662\) 0.539949 1.48350i 0.0209857 0.0576578i
\(663\) 0.909070 0.902963i 0.0353054 0.0350682i
\(664\) 0.604283i 0.0234507i
\(665\) −12.9452 + 9.15379i −0.501994 + 0.354969i
\(666\) 2.90681 + 17.1610i 0.112637 + 0.664974i
\(667\) −24.8796 29.6503i −0.963341 1.14807i
\(668\) 0.960825 + 0.349712i 0.0371754 + 0.0135307i
\(669\) −1.85319 0.168429i −0.0716485 0.00651183i
\(670\) 2.84268 + 16.1216i 0.109822 + 0.622833i
\(671\) −16.8386 46.2637i −0.650047 1.78599i
\(672\) −1.34323 + 2.85540i −0.0518161 + 0.110149i
\(673\) −32.9000 + 18.9948i −1.26820 + 0.732197i −0.974648 0.223745i \(-0.928172\pi\)
−0.293555 + 0.955942i \(0.594838\pi\)
\(674\) −21.0224 + 25.0536i −0.809754 + 0.965028i
\(675\) 4.75281 + 2.27506i 0.182936 + 0.0875670i
\(676\) −6.40213 11.0888i −0.246236 0.426493i
\(677\) −16.1698 + 28.0070i −0.621457 + 1.07640i 0.367757 + 0.929922i \(0.380126\pi\)
−0.989215 + 0.146474i \(0.953208\pi\)
\(678\) 0.934186 0.431791i 0.0358772 0.0165828i
\(679\) 4.59174 0.809648i 0.176215 0.0310714i
\(680\) −0.579668 + 3.28746i −0.0222292 + 0.126068i
\(681\) −31.3631 8.51711i −1.20184 0.326376i
\(682\) −20.5067 + 17.2072i −0.785243 + 0.658897i
\(683\) −27.4952 −1.05208 −0.526038 0.850461i \(-0.676323\pi\)
−0.526038 + 0.850461i \(0.676323\pi\)
\(684\) −12.6383 + 3.35773i −0.483236 + 0.128386i
\(685\) 18.7237 0.715396
\(686\) −14.9064 + 12.5080i −0.569131 + 0.477557i
\(687\) 19.4337 + 5.27751i 0.741443 + 0.201350i
\(688\) 2.15807 12.2390i 0.0822755 0.466607i
\(689\) −1.06608 + 0.187978i −0.0406144 + 0.00716141i
\(690\) −18.9192 + 8.74465i −0.720241 + 0.332903i
\(691\) 8.55714 14.8214i 0.325529 0.563833i −0.656090 0.754682i \(-0.727791\pi\)
0.981619 + 0.190850i \(0.0611243\pi\)
\(692\) −7.55585 13.0871i −0.287230 0.497497i
\(693\) 13.1155 22.3671i 0.498215 0.849656i
\(694\) 1.49140 1.77738i 0.0566128 0.0674685i
\(695\) 18.7294 10.8134i 0.710448 0.410178i
\(696\) 4.73465 10.0648i 0.179467 0.381505i
\(697\) −2.28556 6.27952i −0.0865717 0.237854i
\(698\) 2.39844 + 13.6023i 0.0907824 + 0.514853i
\(699\) −28.0481 2.54917i −1.06088 0.0964186i
\(700\) 1.73608 + 0.631881i 0.0656176 + 0.0238828i
\(701\) 24.3781 + 29.0527i 0.920748 + 1.09730i 0.994981 + 0.100064i \(0.0319046\pi\)
−0.0742333 + 0.997241i \(0.523651\pi\)
\(702\) 0.572531 + 2.22652i 0.0216088 + 0.0840347i
\(703\) −14.4096 + 20.7827i −0.543467 + 0.783836i
\(704\) 4.74401i 0.178797i
\(705\) 26.4348 26.2572i 0.995593 0.988905i
\(706\) −4.98533 + 13.6971i −0.187625 + 0.515496i
\(707\) 14.2982 + 2.52116i 0.537739 + 0.0948178i
\(708\) −2.23721 8.46338i −0.0840795 0.318073i
\(709\) −18.3247 + 6.66963i −0.688197 + 0.250483i −0.662363 0.749183i \(-0.730446\pi\)
−0.0258338 + 0.999666i \(0.508224\pi\)
\(710\) 8.93245 + 5.15715i 0.335229 + 0.193545i
\(711\) −21.8624 + 18.0950i −0.819903 + 0.678615i
\(712\) −3.31921 2.78515i −0.124393 0.104378i
\(713\) −26.0539 21.8618i −0.975724 0.818730i
\(714\) 4.33217 3.01171i 0.162128 0.112711i
\(715\) 3.62903 + 2.09522i 0.135718 + 0.0783568i
\(716\) −5.58587 + 2.03309i −0.208754 + 0.0759802i
\(717\) 11.4090 3.01585i 0.426076 0.112629i
\(718\) 19.1397 + 3.37484i 0.714287 + 0.125948i
\(719\) 0.618865 1.70032i 0.0230798 0.0634111i −0.927618 0.373531i \(-0.878147\pi\)
0.950697 + 0.310120i \(0.100369\pi\)
\(720\) −4.56212 3.88078i −0.170020 0.144628i
\(721\) 27.9880i 1.04233i
\(722\) −16.5416 9.34750i −0.615614 0.347878i
\(723\) 2.81711 + 33.4997i 0.104769 + 1.24587i
\(724\) 4.17230 + 4.97236i 0.155062 + 0.184796i
\(725\) −6.11938 2.22727i −0.227268 0.0827189i
\(726\) 1.80377 19.8466i 0.0669443 0.736576i
\(727\) 2.39063 + 13.5580i 0.0886637 + 0.502837i 0.996506 + 0.0835244i \(0.0266177\pi\)
−0.907842 + 0.419312i \(0.862271\pi\)
\(728\) 0.275687 + 0.757443i 0.0102176 + 0.0280727i
\(729\) −0.545954 + 26.9945i −0.0202205 + 0.999796i
\(730\) 24.9995 14.4335i 0.925273 0.534206i
\(731\) −13.3569 + 15.9181i −0.494023 + 0.588754i
\(732\) 14.6894 + 10.3596i 0.542937 + 0.382902i
\(733\) 3.00825 + 5.21044i 0.111112 + 0.192452i 0.916219 0.400678i \(-0.131225\pi\)
−0.805107 + 0.593130i \(0.797892\pi\)
\(734\) 3.78035 6.54777i 0.139535 0.241682i
\(735\) −5.34030 11.5538i −0.196980 0.426169i
\(736\) −5.93571 + 1.04663i −0.218793 + 0.0385792i
\(737\) 6.75474 38.3080i 0.248814 1.41109i
\(738\) 11.7935 + 2.16158i 0.434125 + 0.0795688i
\(739\) 16.5397 13.8784i 0.608421 0.510526i −0.285719 0.958313i \(-0.592232\pi\)
0.894140 + 0.447788i \(0.147788\pi\)
\(740\) −11.5832 −0.425806
\(741\) −1.66653 + 2.89488i −0.0612216 + 0.106346i
\(742\) −4.45763 −0.163645
\(743\) 18.9259 15.8807i 0.694322 0.582606i −0.225830 0.974167i \(-0.572509\pi\)
0.920152 + 0.391561i \(0.128065\pi\)
\(744\) 2.56141 9.43205i 0.0939059 0.345796i
\(745\) 3.90485 22.1455i 0.143063 0.811349i
\(746\) 5.69223 1.00369i 0.208407 0.0367478i
\(747\) 0.895821 + 1.57605i 0.0327764 + 0.0576645i
\(748\) 3.96607 6.86943i 0.145014 0.251171i
\(749\) −17.0318 29.4999i −0.622329 1.07790i
\(750\) −11.9858 + 16.9953i −0.437661 + 0.620582i
\(751\) −14.8918 + 17.7473i −0.543409 + 0.647609i −0.965948 0.258735i \(-0.916694\pi\)
0.422540 + 0.906344i \(0.361139\pi\)
\(752\) 9.33121 5.38738i 0.340274 0.196457i
\(753\) 26.7727 + 12.5943i 0.975652 + 0.458964i
\(754\) −0.971750 2.66986i −0.0353891 0.0972306i
\(755\) −1.22958 6.97331i −0.0447491 0.253785i
\(756\) 0.729681 + 9.43851i 0.0265383 + 0.343275i
\(757\) −11.1562 4.06054i −0.405480 0.147583i 0.131225 0.991353i \(-0.458109\pi\)
−0.536705 + 0.843770i \(0.680331\pi\)
\(758\) −19.9832 23.8151i −0.725824 0.865003i
\(759\) 49.3512 4.15012i 1.79134 0.150640i
\(760\) −0.798527 8.66574i −0.0289656 0.314339i
\(761\) 6.51835i 0.236290i −0.992996 0.118145i \(-0.962305\pi\)
0.992996 0.118145i \(-0.0376948\pi\)
\(762\) 16.1133 + 16.2223i 0.583722 + 0.587670i
\(763\) −7.11311 + 19.5431i −0.257512 + 0.707508i
\(764\) 23.5014 + 4.14393i 0.850250 + 0.149922i
\(765\) 3.36166 + 9.43345i 0.121541 + 0.341067i
\(766\) −6.29971 + 2.29291i −0.227618 + 0.0828461i
\(767\) −1.93655 1.11807i −0.0699249 0.0403711i
\(768\) −0.988676 1.42215i −0.0356758 0.0513175i
\(769\) 6.42301 + 5.38954i 0.231620 + 0.194352i 0.751209 0.660064i \(-0.229471\pi\)
−0.519590 + 0.854416i \(0.673915\pi\)
\(770\) 13.2184 + 11.0916i 0.476359 + 0.399713i
\(771\) 15.6312 +