Properties

Label 114.2.l.a.41.1
Level $114$
Weight $2$
Character 114.41
Analytic conductor $0.910$
Analytic rank $0$
Dimension $18$
CM no
Inner twists $2$

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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 41.1
Root \(-0.442647 + 1.67453i\) of defining polynomial
Character \(\chi\) \(=\) 114.41
Dual form 114.2.l.a.89.1

$q$-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 \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(97\)
\(\chi(n)\) \(-1\) \(e\left(\frac{13}{18}\right)\)

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 0.595028 0.803705i \(-0.297141\pi\)
0.284260 + 0.958747i \(0.408252\pi\)
\(6\) 1.57223 + 0.726702i 0.641860 + 0.296675i
\(7\) 0.910931 + 1.57778i 0.344300 + 0.596344i 0.985226 0.171258i \(-0.0547831\pi\)
−0.640927 + 0.767602i \(0.721450\pi\)
\(8\) 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 0.968837 0.247701i \(-0.0796749\pi\)
0.269903 + 0.962887i \(0.413008\pi\)
\(12\) −0.737283 1.56730i −0.212835 0.452439i
\(13\) 0.151321 0.415752i 0.0419690 0.115309i −0.916938 0.399030i \(-0.869347\pi\)
0.958907 + 0.283721i \(0.0915691\pi\)
\(14\) 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 −0.619798 0.784761i \(-0.712786\pi\)
0.880466 + 0.474110i \(0.157230\pi\)
\(18\) −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 −0.753922 0.656964i \(-0.771840\pi\)
−0.483760 + 0.875201i \(0.660729\pi\)
\(24\) −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 −0.0592808 0.998241i \(-0.518881\pi\)
0.972782 + 0.231723i \(0.0744363\pi\)
\(30\) 2.83930 + 1.97387i 0.518383 + 0.360378i
\(31\) 4.88683 2.82141i 0.877700 0.506741i 0.00780088 0.999970i \(-0.497517\pi\)
0.869899 + 0.493229i \(0.164184\pi\)
\(32\) 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 \(0.158242\pi\)
−0.878955 + 0.476905i \(0.841758\pi\)
\(38\) 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 −0.618203 0.786019i \(-0.712139\pi\)
0.0316723 + 0.999498i \(0.489917\pi\)
\(42\) 0.285618 + 3.14260i 0.0440718 + 0.484914i
\(43\) 2.15807 12.2390i 0.329102 1.86643i −0.150023 0.988683i \(-0.547935\pi\)
0.479125 0.877747i \(-0.340954\pi\)
\(44\) −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 −0.978876 0.204453i \(-0.934459\pi\)
−0.0313665 0.999508i \(-0.509986\pi\)
\(48\) 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 0.941623 0.336669i \(-0.109300\pi\)
−0.999984 + 0.00568857i \(0.998189\pi\)
\(54\) 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 0.354977 0.934875i \(-0.384489\pi\)
−0.859031 + 0.511923i \(0.828933\pi\)
\(60\) −0.906250 3.33714i −0.116996 0.430823i
\(61\) 1.80210 + 10.2202i 0.230735 + 1.30856i 0.851412 + 0.524498i \(0.175747\pi\)
−0.620677 + 0.784067i \(0.713142\pi\)
\(62\) −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 0.984982 0.172658i \(-0.0552356\pi\)
−0.341075 + 0.940036i \(0.610791\pi\)
\(68\) 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 0.884157 + 0.467190i \(0.154734\pi\)
−0.990624 + 0.136616i \(0.956377\pi\)
\(72\) −0.0202217 2.99993i −0.00238316 0.353545i
\(73\) −13.5869 + 4.94524i −1.59023 + 0.578796i −0.977396 0.211415i \(-0.932193\pi\)
−0.612834 + 0.790212i \(0.709971\pi\)
\(74\) 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 −0.977595 0.210493i \(-0.932493\pi\)
0.613580 0.789633i \(-0.289729\pi\)
\(80\) −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 −0.471004 0.882131i \(-0.656108\pi\)
0.528446 + 0.848967i \(0.322775\pi\)
\(84\) 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 0.117084 0.993122i \(-0.462645\pi\)
−0.548675 + 0.836036i \(0.684867\pi\)
\(90\) −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 −0.676037 0.736868i \(-0.736304\pi\)
0.843066 + 0.537810i \(0.180748\pi\)
\(98\) −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 −0.727073 0.686560i \(-0.759120\pi\)
0.998283 0.0585821i \(-0.0186579\pi\)
\(102\) 2.62056 1.23276i 0.259475 0.122061i
\(103\) −13.3041 7.68115i −1.31090 0.756846i −0.328651 0.944451i \(-0.606594\pi\)
−0.982245 + 0.187605i \(0.939927\pi\)
\(104\) −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 0.822573 + 0.568660i \(0.192538\pi\)
0.0811876 + 0.996699i \(0.474129\pi\)
\(108\) −4.28636 2.93720i −0.412455 0.282632i
\(109\) −11.2420 1.98227i −1.07679 0.189867i −0.392994 0.919541i \(-0.628561\pi\)
−0.683795 + 0.729674i \(0.739672\pi\)
\(110\) −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 −0.561326 0.827595i \(-0.689709\pi\)
0.961968 0.273161i \(-0.0880691\pi\)
\(128\) −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 −0.529898 0.848062i \(-0.677770\pi\)
0.927193 + 0.374583i \(0.122214\pi\)
\(132\) 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 0.235434 0.971890i \(-0.424349\pi\)
0.553641 + 0.832755i \(0.313238\pi\)
\(138\) −10.0929 2.66796i −0.859164 0.227111i
\(139\) 10.1792 + 3.70494i 0.863392 + 0.314249i 0.735488 0.677538i \(-0.236953\pi\)
0.127904 + 0.991787i \(0.459175\pi\)
\(140\) −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 0.991501 + 0.130100i \(0.0415297\pi\)
−0.675907 + 0.736987i \(0.736248\pi\)
\(150\) −1.24616 1.23778i −0.101748 0.101065i
\(151\) 3.54669i 0.288625i 0.989532 + 0.144313i \(0.0460971\pi\)
−0.989532 + 0.144313i \(0.953903\pi\)
\(152\) 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 −0.986918 0.161222i \(-0.948457\pi\)
0.982541 + 0.186047i \(0.0595677\pi\)
\(158\) −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 −0.840530 0.541765i \(-0.817756\pi\)
0.889447 + 0.457038i \(0.151090\pi\)
\(164\) −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 0.977167 0.212472i \(-0.0681516\pi\)
−0.990907 + 0.134552i \(0.957040\pi\)
\(168\) −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 0.966205 0.257776i \(-0.0829897\pi\)
−0.0860802 + 0.996288i \(0.527434\pi\)
\(174\) 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 −0.955461 0.295118i \(-0.904641\pi\)
0.733310 + 0.679895i \(0.237974\pi\)
\(180\) 3.02961 + 5.16670i 0.225814 + 0.385103i
\(181\) −4.17230 4.97236i −0.310125 0.369593i 0.588358 0.808600i \(-0.299774\pi\)
−0.898483 + 0.439008i \(0.855330\pi\)
\(182\) −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 \(-0.668352\pi\)
0.504577 0.863367i \(-0.331648\pi\)
\(192\) 1.22887 + 1.22061i 0.0886857 + 0.0880899i
\(193\) −0.726280 1.99544i −0.0522788 0.143635i 0.910805 0.412837i \(-0.135462\pi\)
−0.963084 + 0.269202i \(0.913240\pi\)
\(194\) −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 −0.612133 0.790755i \(-0.709688\pi\)
0.378747 + 0.925500i \(0.376355\pi\)
\(198\) −10.9638 9.07448i −0.779163 0.644895i
\(199\) −10.5692 + 8.86860i −0.749230 + 0.628679i −0.935299 0.353858i \(-0.884870\pi\)
0.186069 + 0.982537i \(0.440425\pi\)
\(200\) −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 −0.280662 0.959807i \(-0.590554\pi\)
0.993961 + 0.109730i \(0.0349985\pi\)
\(212\) 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 0.208961 0.977924i \(-0.432992\pi\)
−0.138110 + 0.990417i \(0.544103\pi\)
\(224\) 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 0.671500 0.741004i \(-0.265650\pi\)
0.377565 + 0.925983i \(0.376761\pi\)
\(234\) −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 0.296876 0.954916i \(-0.404055\pi\)
−0.678543 + 0.734560i \(0.737388\pi\)
\(240\) 3.12907 1.47197i 0.201981 0.0950152i
\(241\) −6.63839 + 18.2388i −0.427616 + 1.17487i 0.519639 + 0.854386i \(0.326066\pi\)
−0.947255 + 0.320480i \(0.896156\pi\)
\(242\) 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 −0.677170 0.735827i \(-0.736794\pi\)
−0.384664 + 0.923057i \(0.625683\pi\)
\(252\) −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 −0.936947 0.349471i \(-0.886361\pi\)
0.181462 + 0.983398i \(0.441917\pi\)
\(258\) 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 0.909264 0.416220i \(-0.136645\pi\)
−0.964078 + 0.265620i \(0.914423\pi\)
\(264\) −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 −0.835039 + 0.550191i \(0.814555\pi\)
−0.993333 + 0.115281i \(0.963223\pi\)
\(270\) 10.3431 + 0.799618i 0.629464 + 0.0486632i
\(271\) −3.48942 + 19.7895i −0.211967 + 1.20212i 0.674126 + 0.738617i \(0.264521\pi\)
−0.886093 + 0.463508i \(0.846590\pi\)
\(272\) −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 −0.718746 0.695272i \(-0.755284\pi\)
0.961497 + 0.274816i \(0.0886171\pi\)
\(278\) −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 −0.982848 0.184417i \(-0.940960\pi\)
0.860501 0.509449i \(-0.170151\pi\)
\(282\) −4.89092 18.0101i −0.291250 1.07249i
\(283\) 11.0055 + 9.23472i 0.654210 + 0.548947i 0.908345 0.418221i \(-0.137346\pi\)
−0.254135 + 0.967169i \(0.581791\pi\)
\(284\) −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 −0.865931 0.500164i \(-0.833273\pi\)
0.866120 + 0.499836i \(0.166606\pi\)
\(294\) 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 0.998736 + 0.0502623i \(0.0160057\pi\)
−0.732768 + 0.680478i \(0.761772\pi\)
\(308\) −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 −0.759188 0.650871i \(-0.774404\pi\)
0.184077 + 0.982912i \(0.441070\pi\)
\(312\) 0.629209 + 0.437424i 0.0356220 + 0.0247643i
\(313\) 1.34587 1.12932i 0.0760730 0.0638328i −0.603958 0.797016i \(-0.706411\pi\)
0.680031 + 0.733183i \(0.261966\pi\)
\(314\) 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 0.520426 0.853907i \(-0.325773\pi\)
−0.150211 + 0.988654i \(0.547995\pi\)
\(318\) 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 0.461955 0.886903i \(-0.347148\pi\)
−0.537103 + 0.843517i \(0.680481\pi\)
\(332\) 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 0.956159 0.292847i \(-0.0946028\pi\)
0.798336 + 0.602212i \(0.205714\pi\)
\(338\) −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 0.111980 0.993711i \(-0.464281\pi\)
−0.234643 + 0.972082i \(0.575392\pi\)
\(348\) −10.0965 4.66670i −0.541228 0.250162i
\(349\) 6.90604 + 11.9616i 0.369672 + 0.640291i 0.989514 0.144436i \(-0.0461367\pi\)
−0.619842 + 0.784727i \(0.712803\pi\)
\(350\) −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 0.796785 0.604263i \(-0.206532\pi\)
−0.124915 + 0.992167i \(0.539866\pi\)
\(354\) −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 −0.987290 0.158932i \(-0.949195\pi\)
0.327959 + 0.944692i \(0.393639\pi\)
\(360\) 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 0.149863 0.988707i \(-0.452117\pi\)
−0.520727 + 0.853723i \(0.674339\pi\)
\(368\) 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 −0.623962 0.781455i \(-0.714478\pi\)
0.364779 + 0.931094i \(0.381145\pi\)
\(374\) −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 \(-0.705653\pi\)
0.602058 0.798452i \(-0.294347\pi\)
\(380\) −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 −0.176016 0.984387i \(-0.556321\pi\)
0.497916 + 0.867225i \(0.334099\pi\)
\(384\) −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 −0.908000 0.418971i \(-0.862391\pi\)
−0.254933 0.966959i \(-0.582053\pi\)
\(390\) 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 −0.163242 0.986586i \(-0.552195\pi\)
−0.999944 + 0.0105571i \(0.996640\pi\)
\(398\) 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 0.926296 0.376796i \(-0.122974\pi\)
−0.210222 + 0.977654i \(0.567419\pi\)
\(402\) 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 0.468369 0.883533i \(-0.344842\pi\)
−0.951442 + 0.307829i \(0.900398\pi\)
\(410\) 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 \(-0.947334\pi\)
0.986344 0.164701i \(-0.0526659\pi\)
\(420\) 4.43974 4.46977i 0.216637 0.218102i
\(421\) 5.11036 + 14.0406i 0.249064 + 0.684297i 0.999721 + 0.0236056i \(0.00751459\pi\)
−0.750658 + 0.660691i \(0.770263\pi\)
\(422\) −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 0.628227 0.778030i \(-0.283781\pi\)
−0.0188586 + 0.999822i \(0.506003\pi\)
\(432\) 2.14826 4.73128i 0.103358 0.227634i
\(433\) 16.6663 2.93872i 0.800933 0.141226i 0.241824 0.970320i \(-0.422254\pi\)
0.559109 + 0.829094i \(0.311143\pi\)
\(434\) −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 −0.945574 0.325407i \(-0.894499\pi\)
0.484660 + 0.874702i \(0.338943\pi\)
\(440\) 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 0.145320 + 0.989385i \(0.453579\pi\)
−0.747286 + 0.664503i \(0.768643\pi\)
\(444\) 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 0.969991 0.243143i \(-0.0781784\pi\)
−0.695563 + 0.718465i \(0.744845\pi\)
\(450\) 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 0.310725 0.950500i \(-0.399428\pi\)
−0.0331039 + 0.999452i \(0.510539\pi\)
\(462\) −6.28083 + 13.5887i −0.292211 + 0.632202i
\(463\) 4.59401 + 7.95705i 0.213502 + 0.369796i 0.952808 0.303574i \(-0.0981798\pi\)
−0.739306 + 0.673369i \(0.764846\pi\)
\(464\) −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 0.495845 0.868411i \(-0.334858\pi\)
−0.504144 + 0.863620i \(0.668192\pi\)
\(468\) 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 −0.284966 0.958538i \(-0.591982\pi\)
0.0600591 + 0.998195i \(0.480871\pi\)
\(480\) −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 −0.926059 0.377380i \(-0.876825\pi\)
−0.136209 + 0.990680i \(0.543492\pi\)
\(488\) 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 0.881771 0.471677i \(-0.156351\pi\)
−0.978664 + 0.205466i \(0.934129\pi\)
\(492\) 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 0.771694 + 0.635994i \(0.219410\pi\)
−0.942678 + 0.333704i \(0.891701\pi\)
\(500\) 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 0.891496 0.453028i \(-0.149656\pi\)
−0.600952 + 0.799285i \(0.705212\pi\)
\(504\) 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 0.997056 + 0.0766782i \(0.0244314\pi\)
−0.910701 + 0.413067i \(0.864457\pi\)
\(510\) 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 0.323904 0.946090i \(-0.395005\pi\)
0.657386 0.753554i \(-0.271662\pi\)
\(522\) −16.6189 + 9.74488i −0.727390 + 0.426522i
\(523\) 25.4174 + 30.2913i 1.11143 + 1.32455i 0.940705 + 0.339226i \(0.110165\pi\)
0.170721 + 0.985319i \(0.445390\pi\)
\(524\) 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 −0.428458 0.903562i \(-0.640943\pi\)
0.815434 + 0.578850i \(0.196499\pi\)
\(542\) 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 −0.0959702 0.995384i \(-0.530595\pi\)
0.250259 + 0.968179i \(0.419484\pi\)
\(548\) 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 −0.997912 0.0645925i \(-0.979425\pi\)
0.805964 + 0.591965i \(0.201647\pi\)
\(558\) −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 0.910483 0.413546i \(-0.135710\pi\)
−0.813383 + 0.581728i \(0.802377\pi\)
\(564\) −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 0.807055 0.590477i \(-0.201060\pi\)
−0.914895 + 0.403691i \(0.867727\pi\)
\(578\) 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 −0.999994 0.00351357i \(-0.998882\pi\)
0.177107 + 0.984192i \(0.443326\pi\)
\(588\) −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 0.231375 0.972865i \(-0.425678\pi\)
0.550161 + 0.835059i \(0.314566\pi\)
\(594\) 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 −0.297575 0.954698i \(-0.596178\pi\)
0.888521 + 0.458836i \(0.151733\pi\)
\(600\) 1.00259 1.44216i 0.0409304 0.0588760i
\(601\) −9.35958 + 5.40376i −0.381785 + 0.220424i −0.678595 0.734513i \(-0.737411\pi\)
0.296809 + 0.954937i \(0.404077\pi\)
\(602\) −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 \(-0.954209\pi\)
0.989670 0.143361i \(-0.0457910\pi\)
\(608\) −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 0.648071 + 0.761580i \(0.275576\pi\)
−0.869463 + 0.493998i \(0.835535\pi\)
\(614\) 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 0.999397 0.0347092i \(-0.0110505\pi\)
−0.207725 + 0.978187i \(0.566606\pi\)
\(618\) −15.3353 21.7447i −0.616874 0.874699i
\(619\) 21.8906 37.9157i 0.879859 1.52396i 0.0283650 0.999598i \(-0.490970\pi\)
0.851494 0.524364i \(-0.175697\pi\)
\(620\) 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 0.986611 0.163094i \(-0.0521472\pi\)
−0.982892 + 0.184183i \(0.941036\pi\)
\(632\) −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 0.796547 + 0.604577i \(0.206658\pi\)
−0.955287 + 0.295682i \(0.904453\pi\)
\(642\) 2.93120 + 32.2515i 0.115685 + 1.27286i
\(643\) −8.18931 + 2.98066i −0.322955 + 0.117546i −0.498410 0.866941i \(-0.666083\pi\)
0.175455 + 0.984487i \(0.443860\pi\)
\(644\) 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 \(-0.712569\pi\)
0.619264 0.785183i \(-0.287431\pi\)
\(648\) −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 −0.528935 0.848662i \(-0.677409\pi\)
0.470495 + 0.882403i \(0.344075\pi\)
\(654\) −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 0.734006 0.679142i \(-0.237648\pi\)
0.125737 + 0.992064i \(0.459870\pi\)
\(660\) 4.19245 15.8601i 0.163191 0.617352i
\(661\) 10.0686 1.77536i 0.391622 0.0690535i 0.0256300 0.999671i \(-0.491841\pi\)
0.365992 + 0.930618i \(0.380730\pi\)
\(662\) 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 −0.293555 0.955942i \(-0.594838\pi\)
−0.974648 + 0.223745i \(0.928172\pi\)
\(674\) −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 −0.989215 0.146474i \(-0.953208\pi\)
0.367757 0.929922i \(-0.380126\pi\)
\(678\) 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 0.981619 0.190850i \(-0.0611243\pi\)
−0.656090 + 0.754682i \(0.727791\pi\)
\(692\) −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 −0.0742333 0.997241i \(-0.523651\pi\)
0.994981 0.100064i \(-0.0319046\pi\)
\(702\) 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 −0.0258338 0.999666i \(-0.508224\pi\)
−0.662363 + 0.749183i \(0.730446\pi\)
\(710\) 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 0.950697 0.310120i \(-0.100369\pi\)
−0.927618 + 0.373531i \(0.878147\pi\)
\(720\) −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 −0.907842 0.419312i \(-0.862271\pi\)
0.996506 0.0835244i \(-0.0266177\pi\)
\(728\) 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 −0.805107 0.593130i \(-0.797892\pi\)
0.916219 + 0.400678i \(0.131225\pi\)
\(734\) 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 0.894140 0.447788i \(-0.147788\pi\)
−0.285719 + 0.958313i \(0.592232\pi\)
\(740\) −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 0.920152 0.391561i \(-0.128065\pi\)
−0.225830 + 0.974167i \(0.572509\pi\)
\(744\) 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 0.422540 0.906344i \(-0.361139\pi\)
−0.965948 + 0.258735i \(0.916694\pi\)
\(752\) 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 −0.536705 0.843770i \(-0.680331\pi\)
0.131225 + 0.991353i \(0.458109\pi\)
\(758\) −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 \(0.0376948\pi\)
−0.992996 + 0.118145i \(0.962305\pi\)
\(762\) 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 −0.519590 0.854416i \(-0.673915\pi\)
0.751209 + 0.660064i \(0.229471\pi\)
\(770\) 13.2184 11.0916i 0.476359 0.399713i
\(771\) 15.6312 22.4846i 0