Properties

Label 114.2.l.b.89.3
Level $114$
Weight $2$
Character 114.89
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 89.3
Root \(-0.442647 + 1.67453i\) of defining polynomial
Character \(\chi\) \(=\) 114.89
Dual form 114.2.l.b.41.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.766044 - 0.642788i) q^{2} +(1.57223 + 0.726702i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-1.96615 + 0.346685i) q^{5} +(1.67151 - 0.453924i) q^{6} +(0.910931 - 1.57778i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(1.94381 + 2.28508i) q^{9} +O(q^{10})\) \(q+(0.766044 - 0.642788i) q^{2} +(1.57223 + 0.726702i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-1.96615 + 0.346685i) q^{5} +(1.67151 - 0.453924i) q^{6} +(0.910931 - 1.57778i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(1.94381 + 2.28508i) q^{9} +(-1.28331 + 1.52939i) q^{10} +(-4.10844 + 2.37201i) q^{11} +(0.988676 - 1.42215i) q^{12} +(0.151321 + 0.415752i) q^{13} +(-0.316363 - 1.79418i) q^{14} +(-3.34317 - 0.883735i) 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} +(2.57877 - 1.81865i) q^{21} +(-1.62255 + 4.45791i) q^{22} +(5.93571 + 1.04663i) q^{23} +(-0.156773 - 1.72494i) q^{24} +(-0.952914 + 0.346832i) q^{25} +(0.383159 + 0.221217i) q^{26} +(1.39554 + 5.00524i) q^{27} +(-1.39563 - 1.17107i) q^{28} +(-4.91935 - 4.12783i) q^{29} +(-3.12907 + 1.47197i) q^{30} +(4.88683 + 2.82141i) q^{31} +(-0.939693 + 0.342020i) q^{32} +(-8.18314 + 0.743731i) q^{33} +(-1.64663 - 0.290345i) q^{34} +(-1.24403 + 3.41795i) q^{35} +(2.58791 - 1.51748i) 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} +(0.806441 - 3.05077i) q^{42} +(2.15807 + 12.2390i) q^{43} +(1.62255 + 4.45791i) q^{44} +(-4.61402 - 3.81892i) q^{45} +(5.21978 - 3.01364i) q^{46} +(6.92588 - 8.25394i) q^{47} +(-1.22887 - 1.22061i) q^{48} +(1.84041 + 3.18768i) q^{49} +(-0.507035 + 0.878210i) q^{50} +(-0.758974 - 2.79482i) q^{51} +(0.435713 - 0.0768279i) q^{52} +(0.424873 - 2.40957i) q^{53} +(4.28636 + 2.93720i) q^{54} +(7.25545 - 6.08805i) q^{55} -1.82186 q^{56} +(-3.82705 - 6.50797i) q^{57} -6.42176 q^{58} +(3.87172 - 3.24876i) q^{59} +(-1.45084 + 3.13892i) q^{60} +(1.80210 - 10.2202i) q^{61} +(5.55710 - 0.979866i) q^{62} +(5.37603 - 0.985349i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-0.441656 - 0.764970i) q^{65} +(-5.79059 + 5.82975i) q^{66} +(5.27060 - 6.28126i) q^{67} +(-1.44802 + 0.836015i) q^{68} +(8.57172 + 5.95903i) q^{69} +(1.24403 + 3.41795i) q^{70} +(0.897109 + 5.08776i) q^{71} +(1.00703 - 2.82593i) 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} +(0.441656 + 0.626247i) q^{78} +(-3.23544 + 8.88931i) q^{79} +(1.96615 + 0.346685i) q^{80} +(-1.44321 + 8.88353i) q^{81} +(3.75563 - 1.36694i) q^{82} +(-0.523324 - 0.302141i) q^{83} +(-1.34323 - 2.85540i) q^{84} +(2.55719 + 2.14574i) q^{85} +(9.52025 + 7.98844i) q^{86} +(-4.73465 - 10.0648i) q^{87} +(4.10844 + 2.37201i) q^{88} +(4.07161 - 1.48195i) q^{89} +(-5.98930 + 0.0403723i) q^{90} +(0.793809 + 0.139970i) q^{91} +(2.06145 - 5.66379i) q^{92} +(5.63289 + 7.98717i) 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} +(-13.4062 - 4.77739i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 18q + 3q^{3} - 9q^{8} - 3q^{9} + O(q^{10}) \) \( 18q + 3q^{3} - 9q^{8} - 3q^{9} - 12q^{13} - 12q^{14} + 18q^{15} + 6q^{17} - 6q^{19} - 24q^{22} + 3q^{24} - 18q^{25} + 18q^{26} - 6q^{27} + 6q^{28} - 6q^{29} - 24q^{33} - 6q^{34} - 24q^{35} + 3q^{38} + 6q^{39} + 3q^{41} - 6q^{43} + 24q^{44} - 54q^{45} + 18q^{46} + 30q^{47} + 21q^{49} + 3q^{50} + 42q^{51} - 6q^{52} - 60q^{53} + 54q^{54} + 30q^{55} + 12q^{57} + 12q^{58} + 3q^{59} + 24q^{60} + 54q^{61} + 6q^{62} - 18q^{63} - 9q^{64} + 24q^{65} - 27q^{66} - 15q^{67} - 27q^{68} + 30q^{69} + 24q^{70} + 36q^{71} + 6q^{72} - 42q^{73} + 6q^{74} - 24q^{78} - 6q^{79} - 3q^{81} + 3q^{82} + 36q^{83} - 30q^{84} - 6q^{86} - 60q^{89} - 18q^{91} - 66q^{93} + 6q^{95} + 9q^{97} + 12q^{98} - 102q^{99} + O(q^{100}) \)

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
\(3\) 1.57223 + 0.726702i 0.907727 + 0.419561i
\(4\) 0.173648 0.984808i 0.0868241 0.492404i
\(5\) −1.96615 + 0.346685i −0.879288 + 0.155042i −0.595028 0.803705i \(-0.702859\pi\)
−0.284260 + 0.958747i \(0.591748\pi\)
\(6\) 1.67151 0.453924i 0.682392 0.185314i
\(7\) 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
\(9\) 1.94381 + 2.28508i 0.647937 + 0.761694i
\(10\) −1.28331 + 1.52939i −0.405819 + 0.483636i
\(11\) −4.10844 + 2.37201i −1.23874 + 0.715187i −0.968837 0.247701i \(-0.920325\pi\)
−0.269903 + 0.962887i \(0.586992\pi\)
\(12\) 0.988676 1.42215i 0.285406 0.410540i
\(13\) 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
\(15\) −3.34317 0.883735i −0.863203 0.228179i
\(16\) −0.939693 0.342020i −0.234923 0.0855050i
\(17\) −1.07476 1.28085i −0.260668 0.310652i 0.619798 0.784761i \(-0.287214\pi\)
−0.880466 + 0.474110i \(0.842770\pi\)
\(18\) 2.95787 + 0.501018i 0.697176 + 0.118091i
\(19\) −3.58212 2.48363i −0.821794 0.569785i
\(20\) 1.99648i 0.446426i
\(21\) 2.57877 1.81865i 0.562733 0.396863i
\(22\) −1.62255 + 4.45791i −0.345928 + 0.950430i
\(23\) 5.93571 + 1.04663i 1.23768 + 0.218237i 0.753922 0.656964i \(-0.228160\pi\)
0.483760 + 0.875201i \(0.339271\pi\)
\(24\) −0.156773 1.72494i −0.0320011 0.352102i
\(25\) −0.952914 + 0.346832i −0.190583 + 0.0693665i
\(26\) 0.383159 + 0.221217i 0.0751437 + 0.0433843i
\(27\) 1.39554 + 5.00524i 0.268572 + 0.963260i
\(28\) −1.39563 1.17107i −0.263749 0.221311i
\(29\) −4.91935 4.12783i −0.913501 0.766518i 0.0592808 0.998241i \(-0.481119\pi\)
−0.972782 + 0.231723i \(0.925564\pi\)
\(30\) −3.12907 + 1.47197i −0.571288 + 0.268744i
\(31\) 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
\(33\) −8.18314 + 0.743731i −1.42450 + 0.129467i
\(34\) −1.64663 0.290345i −0.282394 0.0497938i
\(35\) −1.24403 + 3.41795i −0.210280 + 0.577740i
\(36\) 2.58791 1.51748i 0.431318 0.252913i
\(37\) 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 0.618203 0.786019i \(-0.287861\pi\)
−0.0316723 + 0.999498i \(0.510083\pi\)
\(42\) 0.806441 3.05077i 0.124437 0.470744i
\(43\) 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
\(45\) −4.61402 3.81892i −0.687818 0.569291i
\(46\) 5.21978 3.01364i 0.769614 0.444337i
\(47\) 6.92588 8.25394i 1.01024 1.20396i 0.0313665 0.999508i \(-0.490014\pi\)
0.978876 0.204453i \(-0.0655414\pi\)
\(48\) −1.22887 1.22061i −0.177371 0.176180i
\(49\) 1.84041 + 3.18768i 0.262916 + 0.455383i
\(50\) −0.507035 + 0.878210i −0.0717056 + 0.124198i
\(51\) −0.758974 2.79482i −0.106278 0.391353i
\(52\) 0.435713 0.0768279i 0.0604225 0.0106541i
\(53\) 0.424873 2.40957i 0.0583608 0.330981i −0.941623 0.336669i \(-0.890700\pi\)
0.999984 + 0.00568857i \(0.00181074\pi\)
\(54\) 4.28636 + 2.93720i 0.583299 + 0.399703i
\(55\) 7.25545 6.08805i 0.978325 0.820912i
\(56\) −1.82186 −0.243457
\(57\) −3.82705 6.50797i −0.506905 0.862002i
\(58\) −6.42176 −0.843218
\(59\) 3.87172 3.24876i 0.504055 0.422952i −0.354977 0.934875i \(-0.615511\pi\)
0.859031 + 0.511923i \(0.171067\pi\)
\(60\) −1.45084 + 3.13892i −0.187303 + 0.405233i
\(61\) 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
\(63\) 5.37603 0.985349i 0.677316 0.124142i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) −0.441656 0.764970i −0.0547806 0.0948828i
\(66\) −5.79059 + 5.82975i −0.712772 + 0.717593i
\(67\) 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
\(69\) 8.57172 + 5.95903i 1.03191 + 0.717383i
\(70\) 1.24403 + 3.41795i 0.148690 + 0.408524i
\(71\) 0.897109 + 5.08776i 0.106467 + 0.603806i 0.990624 + 0.136616i \(0.0436226\pi\)
−0.884157 + 0.467190i \(0.845266\pi\)
\(72\) 1.00703 2.82593i 0.118680 0.333039i
\(73\) −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
\(78\) 0.441656 + 0.626247i 0.0500076 + 0.0709085i
\(79\) −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
\(81\) −1.44321 + 8.88353i −0.160356 + 0.987059i
\(82\) 3.75563 1.36694i 0.414740 0.150953i
\(83\) −0.523324 0.302141i −0.0574423 0.0331643i 0.471004 0.882131i \(-0.343892\pi\)
−0.528446 + 0.848967i \(0.677225\pi\)
\(84\) −1.34323 2.85540i −0.146558 0.311549i
\(85\) 2.55719 + 2.14574i 0.277366 + 0.232738i
\(86\) 9.52025 + 7.98844i 1.02659 + 0.861415i
\(87\) −4.73465 10.0648i −0.507608 1.07906i
\(88\) 4.10844 + 2.37201i 0.437961 + 0.252857i
\(89\) 4.07161 1.48195i 0.431590 0.157086i −0.117084 0.993122i \(-0.537355\pi\)
0.548675 + 0.836036i \(0.315133\pi\)
\(90\) −5.98930 + 0.0403723i −0.631328 + 0.00425561i
\(91\) 0.793809 + 0.139970i 0.0832137 + 0.0146728i
\(92\) 2.06145 5.66379i 0.214921 0.590491i
\(93\) 5.63289 + 7.98717i 0.584104 + 0.828231i
\(94\) 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
\(99\) −13.4062 4.77739i −1.34738 0.480145i
\(100\) 0.176091 + 0.998664i 0.0176091 + 0.0998664i
\(101\) −2.72562 7.48859i −0.271210 0.745142i −0.998283 0.0585821i \(-0.981342\pi\)
0.727073 0.686560i \(-0.240880\pi\)
\(102\) −2.37788 1.65310i −0.235445 0.163681i
\(103\) −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
\(105\) −4.43974 + 4.46977i −0.433274 + 0.436204i
\(106\) −1.22337 2.11894i −0.118825 0.205810i
\(107\) −9.34857 + 16.1922i −0.903760 + 1.56536i −0.0811876 + 0.996699i \(0.525871\pi\)
−0.822573 + 0.568660i \(0.807462\pi\)
\(108\) 5.17154 0.505189i 0.497631 0.0486118i
\(109\) −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
\(111\) 4.21618 9.12177i 0.400182 0.865800i
\(112\) −1.39563 + 1.17107i −0.131874 + 0.110656i
\(113\) −0.594179 −0.0558957 −0.0279478 0.999609i \(-0.508897\pi\)
−0.0279478 + 0.999609i \(0.508897\pi\)
\(114\) −7.11493 2.52541i −0.666375 0.236527i
\(115\) −12.0333 −1.12212
\(116\) −4.91935 + 4.12783i −0.456751 + 0.383259i
\(117\) −0.655888 + 1.15393i −0.0606369 + 0.106680i
\(118\) 0.877647 4.97738i 0.0807940 0.458205i
\(119\) −2.99993 + 0.528968i −0.275003 + 0.0484905i
\(120\) 0.906250 + 3.33714i 0.0827289 + 0.304638i
\(121\) 5.75283 9.96419i 0.522984 0.905835i
\(122\) −5.18894 8.98751i −0.469784 0.813691i
\(123\) 4.91135 + 4.87836i 0.442842 + 0.439867i
\(124\) 3.62714 4.32265i 0.325727 0.388186i
\(125\) 10.3983 6.00348i 0.930056 0.536968i
\(126\) 3.48491 4.21047i 0.310460 0.375098i
\(127\) 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
\(129\) −5.50112 + 20.8108i −0.484347 + 1.83229i
\(130\) −0.830041 0.302110i −0.0727994 0.0264968i
\(131\) −4.54726 5.41921i −0.397296 0.473479i 0.529898 0.848062i \(-0.322230\pi\)
−0.927193 + 0.374583i \(0.877786\pi\)
\(132\) −0.688555 + 8.18797i −0.0599311 + 0.712671i
\(133\) −7.18169 + 3.38937i −0.622731 + 0.293896i
\(134\) 8.19960i 0.708337i
\(135\) −4.47908 9.35724i −0.385498 0.805343i
\(136\) −0.571868 + 1.57119i −0.0490373 + 0.134729i
\(137\) −9.23589 1.62854i −0.789075 0.139135i −0.235434 0.971890i \(-0.575651\pi\)
−0.553641 + 0.832755i \(0.686762\pi\)
\(138\) 10.3967 0.944913i 0.885026 0.0804363i
\(139\) 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
\(141\) 16.8872 7.94404i 1.42216 0.669009i
\(142\) 3.95758 + 3.32080i 0.332112 + 0.278675i
\(143\) −1.60786 1.34916i −0.134456 0.112822i
\(144\) −1.04504 2.81210i −0.0870866 0.234341i
\(145\) 11.1032 + 6.41046i 0.922074 + 0.532359i
\(146\) −13.5869 + 4.94524i −1.12446 + 0.409271i
\(147\) 0.577052 + 6.34920i 0.0475944 + 0.523673i
\(148\) −5.71366 1.00747i −0.469660 0.0828137i
\(149\) −3.85231 + 10.5841i −0.315594 + 0.867086i 0.675907 + 0.736987i \(0.263752\pi\)
−0.991501 + 0.130100i \(0.958470\pi\)
\(150\) −1.43537 + 1.01228i −0.117198 + 0.0826527i
\(151\) 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
\(156\) 0.740871 + 0.195842i 0.0593172 + 0.0156799i
\(157\) −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
\(159\) 2.41904 3.47965i 0.191842 0.275954i
\(160\) 1.72900 0.998240i 0.136690 0.0789178i
\(161\) 7.05837 8.41184i 0.556277 0.662946i
\(162\) 4.60466 + 7.73286i 0.361777 + 0.607551i
\(163\) 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
\(165\) 15.8314 4.29926i 1.23248 0.334697i
\(166\) −0.595102 + 0.104933i −0.0461889 + 0.00814435i
\(167\) 0.177553 1.00695i 0.0137395 0.0779205i −0.977167 0.212472i \(-0.931848\pi\)
0.990907 + 0.134552i \(0.0429595\pi\)
\(168\) −2.86438 1.32395i −0.220992 0.102145i
\(169\) 9.80863 8.23041i 0.754510 0.633109i
\(170\) 3.33817 0.256026
\(171\) −1.28765 13.0131i −0.0984689 0.995140i
\(172\) 12.4278 0.947611
\(173\) −11.5762 + 9.71361i −0.880124 + 0.738512i −0.966205 0.257776i \(-0.917010\pi\)
0.0860802 + 0.996288i \(0.472566\pi\)
\(174\) −10.0965 4.66670i −0.765412 0.353782i
\(175\) −0.320814 + 1.81943i −0.0242513 + 0.137536i
\(176\) 4.67194 0.823789i 0.352161 0.0620954i
\(177\) 8.44811 2.29421i 0.634998 0.172443i
\(178\) 2.16646 3.75242i 0.162383 0.281256i
\(179\) 2.97218 + 5.14797i 0.222151 + 0.384777i 0.955461 0.295118i \(-0.0953588\pi\)
−0.733310 + 0.679895i \(0.762026\pi\)
\(180\) −4.56212 + 3.88078i −0.340040 + 0.289256i
\(181\) −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
\(183\) 10.2604 14.7589i 0.758468 1.09101i
\(184\) −2.06145 5.66379i −0.151972 0.417540i
\(185\) 2.01140 + 11.4072i 0.147881 + 0.838675i
\(186\) 9.44910 + 2.49778i 0.692842 + 0.183146i
\(187\) 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 \(-0.331648\pi\)
\(192\) −1.41546 + 0.998240i −0.102152 + 0.0720417i
\(193\) −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
\(195\) −0.138479 1.52366i −0.00991669 0.109112i
\(196\) 3.45884 1.25891i 0.247060 0.0899225i
\(197\) 3.27574 + 1.89125i 0.233387 + 0.134746i 0.612133 0.790755i \(-0.290312\pi\)
−0.378747 + 0.925500i \(0.623645\pi\)
\(198\) −13.3406 + 4.95768i −0.948077 + 0.352327i
\(199\) −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
\(201\) 12.8512 6.04542i 0.906453 0.426411i
\(202\) −6.90152 3.98459i −0.485589 0.280355i
\(203\) −10.9940 + 4.00149i −0.771627 + 0.280849i
\(204\) −2.88415 + 0.262129i −0.201931 + 0.0183527i
\(205\) −7.85802 1.38558i −0.548828 0.0967731i
\(206\) −5.25422 + 14.4358i −0.366079 + 1.00579i
\(207\) 9.14627 + 15.5980i 0.635710 + 1.08414i
\(208\) 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
\(213\) −2.28682 + 8.65106i −0.156690 + 0.592761i
\(214\) 3.24672 + 18.4131i 0.221941 + 1.25869i
\(215\) −8.48615 23.3155i −0.578751 1.59010i
\(216\) 3.63690 3.71120i 0.247460 0.252515i
\(217\) 8.90313 5.14022i 0.604384 0.348941i
\(218\) −7.33769 + 8.74472i −0.496971 + 0.592267i
\(219\) −17.7681 17.6487i −1.20065 1.19259i
\(220\) −4.73566 8.20241i −0.319278 0.553006i
\(221\) 0.369882 0.640654i 0.0248809 0.0430951i
\(222\) −2.63358 9.69779i −0.176754 0.650873i
\(223\) 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
\(225\) −2.64482 1.50331i −0.176322 0.100221i
\(226\) −0.455168 + 0.381931i −0.0302773 + 0.0254057i
\(227\) −18.7633 −1.24536 −0.622682 0.782475i \(-0.713957\pi\)
−0.622682 + 0.782475i \(0.713957\pi\)
\(228\) −7.07366 + 2.63881i −0.468465 + 0.174760i
\(229\) −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
\(231\) −6.28083 + 13.5887i −0.413249 + 0.894069i
\(232\) −1.11513 + 6.32420i −0.0732117 + 0.415204i
\(233\) −16.0133 + 2.82357i −1.04907 + 0.184979i −0.671500 0.741004i \(-0.734350\pi\)
−0.377565 + 0.925983i \(0.623239\pi\)
\(234\) 0.239289 + 1.30556i 0.0156428 + 0.0853468i
\(235\) −10.7558 + 18.6296i −0.701630 + 1.21526i
\(236\) −2.52708 4.37704i −0.164499 0.284921i
\(237\) −11.5467 + 11.6248i −0.750041 + 0.755114i
\(238\) −1.95806 + 2.33353i −0.126922 + 0.151260i
\(239\) 5.90043 3.40661i 0.381667 0.220356i −0.296876 0.954916i \(-0.595945\pi\)
0.678543 + 0.734560i \(0.262612\pi\)
\(240\) 2.83930 + 1.97387i 0.183276 + 0.127413i
\(241\) −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
\(243\) −8.72473 + 12.9182i −0.559692 + 0.828701i
\(244\) −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
\(249\) −0.603219 0.855336i −0.0382274 0.0542047i
\(250\) 4.10662 11.2829i 0.259726 0.713591i
\(251\) 16.8226 + 2.96628i 1.06183 + 0.187230i 0.677170 0.735827i \(-0.263206\pi\)
0.384664 + 0.923057i \(0.374317\pi\)
\(252\) −0.0368412 5.46546i −0.00232078 0.344292i
\(253\) −26.8691 + 9.77955i −1.68925 + 0.614835i
\(254\) 11.4324 + 6.60050i 0.717333 + 0.414152i
\(255\) 2.46118 + 5.23190i 0.154125 + 0.327635i
\(256\) 0.766044 + 0.642788i 0.0478778 + 0.0401742i
\(257\) 12.1113 + 10.1626i 0.755485 + 0.633927i 0.936947 0.349471i \(-0.113639\pi\)
−0.181462 + 0.983398i \(0.558083\pi\)
\(258\) 9.16280 + 19.4780i 0.570451 + 1.21265i
\(259\) −9.15396 5.28504i −0.568800 0.328397i
\(260\) −0.830041 + 0.302110i −0.0514770 + 0.0187361i
\(261\) −0.129859 19.2648i −0.00803808 1.19246i
\(262\) −6.96680 1.22844i −0.430410 0.0758930i
\(263\) 0.888930 2.44232i 0.0548138 0.150600i −0.909264 0.416220i \(-0.863355\pi\)
0.964078 + 0.265620i \(0.0855768\pi\)
\(264\) 4.73566 + 6.71494i 0.291460 + 0.413276i
\(265\) 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 \(0.0367769\pi\)
0.835039 + 0.550191i \(0.185445\pi\)
\(270\) −9.44589 4.28896i −0.574859 0.261018i
\(271\) −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
\(273\) 1.14633 + 0.796927i 0.0693792 + 0.0482322i
\(274\) −8.12190 + 4.68918i −0.490662 + 0.283284i
\(275\) 3.09230 3.68526i 0.186473 0.222229i
\(276\) 7.35696 7.40672i 0.442837 0.445832i
\(277\) 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
\(279\) 3.05191 + 16.6511i 0.182713 + 0.996875i
\(280\) 3.58205 0.631612i 0.214068 0.0377460i
\(281\) 2.05091 11.6313i 0.122347 0.693866i −0.860501 0.509449i \(-0.829849\pi\)
0.982848 0.184417i \(-0.0590396\pi\)
\(282\) 7.83003 16.9404i 0.466271 1.00878i
\(283\) 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
\(285\) 9.78076 + 11.4689i 0.579363 + 0.679356i
\(286\) −2.09891 −0.124111
\(287\) 5.57784 4.68036i 0.329249 0.276273i
\(288\) −2.60813 1.48245i −0.153685 0.0873544i
\(289\) 2.46655 13.9885i 0.145091 0.822854i
\(290\) 12.6261 2.22633i 0.741432 0.130734i
\(291\) 1.16170 + 4.27779i 0.0681000 + 0.250769i
\(292\) −7.22946 + 12.5218i −0.423072 + 0.732782i
\(293\) −0.00324263 0.00561639i −0.000189436 0.000328113i 0.865931 0.500164i \(-0.166727\pi\)
−0.866120 + 0.499836i \(0.833394\pi\)
\(294\) 4.52323 + 4.49285i 0.263800 + 0.262028i
\(295\) −6.48608 + 7.72981i −0.377634 + 0.450047i
\(296\) −5.02451 + 2.90090i −0.292044 + 0.168611i
\(297\) −17.6060 17.2535i −1.02160 1.00115i
\(298\) 3.85231 + 10.5841i 0.223158 + 0.613122i
\(299\) 0.463063 + 2.62616i 0.0267797 + 0.151875i
\(300\) −0.448874 + 1.69809i −0.0259158 + 0.0980395i
\(301\) 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
\(306\) −2.53727 4.32706i −0.145046 0.247361i
\(307\) 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
\(309\) −26.4991 + 2.40839i −1.50748 + 0.137008i
\(310\) −10.5864 + 3.85312i −0.601266 + 0.218843i
\(311\) 10.1422 + 5.85560i 0.575111 + 0.332041i 0.759188 0.650871i \(-0.225596\pi\)
−0.184077 + 0.982912i \(0.558930\pi\)
\(312\) 0.693425 0.326199i 0.0392575 0.0184674i
\(313\) 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
\(315\) −10.2285 + 3.80113i −0.576309 + 0.214170i
\(316\) 8.19243 + 4.72990i 0.460860 + 0.266078i
\(317\) −6.59148 + 2.39910i −0.370214 + 0.134747i −0.520426 0.853907i \(-0.674227\pi\)
0.150211 + 0.988654i \(0.452005\pi\)
\(318\) −0.383583 4.22049i −0.0215103 0.236674i
\(319\) 30.0021 + 5.29018i 1.67979 + 0.296193i
\(320\) 0.682836 1.87608i 0.0381717 0.104876i
\(321\) −26.4650 + 18.6642i −1.47713 + 1.04174i
\(322\) 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
\(327\) −19.1155 5.05300i −1.05709 0.279431i
\(328\) −0.694012 3.93594i −0.0383204 0.217326i
\(329\) −6.71389 18.4463i −0.370149 1.01698i
\(330\) 9.36407 13.4697i 0.515475 0.741481i
\(331\) −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
\(333\) 13.2576 11.2776i 0.726512 0.618009i
\(334\) −0.511244 0.885501i −0.0279740 0.0484525i
\(335\) −8.18517 + 14.1771i −0.447203 + 0.774579i
\(336\) −3.04526 + 0.826987i −0.166133 + 0.0451158i
\(337\) 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
\(339\) −0.934186 0.431791i −0.0507380 0.0234517i
\(340\) 2.55719 2.14574i 0.138683 0.116369i
\(341\) −26.7696 −1.44966
\(342\) −9.35108 9.14096i −0.505649 0.494287i
\(343\) 19.4590 1.05069
\(344\) 9.52025 7.98844i 0.513297 0.430708i
\(345\) −18.9192 8.74465i −1.01857 0.470796i
\(346\) −2.62412 + 14.8821i −0.141073 + 0.800067i
\(347\) 2.28496 0.402900i 0.122663 0.0216288i −0.111980 0.993711i \(-0.535719\pi\)
0.234643 + 0.972082i \(0.424608\pi\)
\(348\) −10.7341 + 2.91499i −0.575406 + 0.156260i
\(349\) 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
\(351\) −1.86977 + 1.33760i −0.0998007 + 0.0713958i
\(352\) 3.04939 3.63412i 0.162533 0.193699i
\(353\) −12.6233 + 7.28806i −0.671870 + 0.387904i −0.796785 0.604263i \(-0.793468\pi\)
0.124915 + 0.992167i \(0.460134\pi\)
\(354\) 4.99694 7.18780i 0.265584 0.382027i
\(355\) −3.52770 9.69228i −0.187231 0.514413i
\(356\) −0.752404 4.26709i −0.0398773 0.226156i
\(357\) −5.10098 1.34839i −0.269972 0.0713645i
\(358\) 5.58587 + 2.03309i 0.295222 + 0.107452i
\(359\) 12.4925 + 14.8880i 0.659331 + 0.785760i 0.987290 0.158932i \(-0.0508051\pi\)
−0.327959 + 0.944692i \(0.606361\pi\)
\(360\) −1.00027 + 5.90532i −0.0527190 + 0.311238i
\(361\) 6.66313 + 17.7933i 0.350691 + 0.936491i
\(362\) 6.49095i 0.341157i
\(363\) 16.2858 11.4854i 0.854780 0.602827i
\(364\) 0.275687 0.757443i 0.0144499 0.0397008i
\(365\) 28.4284 + 5.01269i 1.48801 + 0.262376i
\(366\) −1.62697 17.9012i −0.0850429 0.935712i
\(367\) −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
\(369\) 4.17666 + 11.2390i 0.217428 + 0.585078i
\(370\) 8.87323 + 7.44553i 0.461297 + 0.387074i
\(371\) −3.41475 2.86531i −0.177285 0.148760i
\(372\) 8.84397 4.16036i 0.458539 0.215704i
\(373\) −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
\(375\) 20.7113 1.88236i 1.06953 0.0972049i
\(376\) −10.6111 1.87102i −0.547224 0.0964903i
\(377\) 0.971750 2.66986i 0.0500477 0.137505i
\(378\) 8.53883 4.08733i 0.439190 0.210230i
\(379\) 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 0.176016 0.984387i \(-0.443679\pi\)
−0.497916 + 0.867225i \(0.665901\pi\)
\(384\) −0.442647 + 1.67453i −0.0225887 + 0.0854532i
\(385\) −2.99638 16.9933i −0.152709 0.866058i
\(386\) 0.726280 + 1.99544i 0.0369667 + 0.101565i
\(387\) −23.7722 + 28.7216i −1.20841 + 1.46000i
\(388\) 2.21636 1.27962i 0.112519 0.0649628i
\(389\) 22.9366 27.3348i 1.16293 1.38593i 0.254933 0.966959i \(-0.417947\pi\)
0.908000 0.418971i \(-0.137609\pi\)
\(390\) −1.08547 1.07818i −0.0549649 0.0545957i
\(391\) −5.03890 8.72763i −0.254828 0.441375i
\(392\) 1.84041 3.18768i 0.0929547 0.161002i
\(393\) −3.21118 11.8247i −0.161983 0.596479i
\(394\) 3.72503 0.656824i 0.187664 0.0330903i
\(395\) 3.27957 18.5994i 0.165013 0.935837i
\(396\) −7.03278 + 12.3730i −0.353410 + 0.621766i
\(397\) −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
\(399\) −13.7543 + 0.109926i −0.688577 + 0.00550318i
\(400\) 1.01407 0.0507035
\(401\) −14.3394 + 12.0322i −0.716074 + 0.600858i −0.926296 0.376796i \(-0.877026\pi\)
0.210222 + 0.977654i \(0.432581\pi\)
\(402\) 5.95866 12.8916i 0.297191 0.642977i
\(403\) −0.433526 + 2.45865i −0.0215955 + 0.122474i
\(404\) −7.84812 + 1.38383i −0.390458 + 0.0688484i
\(405\) −0.242228 17.9667i −0.0120364 0.892772i
\(406\) −5.84978 + 10.1321i −0.290320 + 0.502848i
\(407\) 13.7619 + 23.8363i 0.682153 + 1.18152i
\(408\) −2.04090 + 2.05470i −0.101039 + 0.101723i
\(409\) −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
\(411\) −13.3375 9.27216i −0.657889 0.457362i
\(412\) 5.25422 + 14.4358i 0.258857 + 0.711203i
\(413\) −1.59895 9.06811i −0.0786793 0.446212i
\(414\) 17.0327 + 6.06968i 0.837110 + 0.298309i
\(415\) 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 \(-0.0526659\pi\)
\(420\) 3.63091 + 5.14845i 0.177170 + 0.251219i
\(421\) 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
\(423\) 32.3235 0.217884i 1.57162 0.0105939i
\(424\) −2.29919 + 0.836837i −0.111659 + 0.0406404i
\(425\) 1.46839 + 0.847778i 0.0712276 + 0.0411233i
\(426\) 3.80899 + 8.09703i 0.184546 + 0.392303i
\(427\) −14.4836 12.1532i −0.700913 0.588136i
\(428\) 14.3228 + 12.0183i 0.692321 + 0.580926i
\(429\) −1.54749 3.28962i −0.0747137 0.158824i
\(430\) −21.4877 12.4059i −1.03623 0.598267i
\(431\) −12.6508 + 4.60452i −0.609368 + 0.221792i −0.628227 0.778030i \(-0.716219\pi\)
0.0188586 + 0.999822i \(0.493997\pi\)
\(432\) 0.400514 5.18069i 0.0192697 0.249256i
\(433\) 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
\(435\) 12.7983 + 18.1474i 0.613634 + 0.870103i
\(436\) 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
\(441\) −3.70671 + 10.4017i −0.176510 + 0.495321i
\(442\) −0.128459 0.728525i −0.00611015 0.0346524i
\(443\) 12.6699 + 34.8103i 0.601966 + 1.65389i 0.747286 + 0.664503i \(0.231357\pi\)
−0.145320 + 0.989385i \(0.546421\pi\)
\(444\) −8.25105 5.73610i −0.391578 0.272223i
\(445\) −7.49163 + 4.32529i −0.355137 + 0.205039i
\(446\) 0.690579 0.823000i 0.0326999 0.0389702i
\(447\) −13.7482 + 13.8412i −0.650269 + 0.654667i
\(448\) 0.910931 + 1.57778i 0.0430374 + 0.0745430i
\(449\) −5.81501 + 10.0719i −0.274427 + 0.475322i −0.969991 0.243143i \(-0.921822\pi\)
0.695563 + 0.718465i \(0.255155\pi\)
\(450\) −2.99236 + 0.548457i −0.141061 + 0.0258545i
\(451\) −18.6721 + 3.29240i −0.879236 + 0.155033i
\(452\) −0.103178 + 0.585152i −0.00485309 + 0.0275233i
\(453\) 2.57738 5.57621i 0.121096 0.261993i
\(454\) −14.3735 + 12.0608i −0.674583 + 0.566042i
\(455\) −1.60927 −0.0754438
\(456\) −3.72254 + 6.56831i −0.174324 + 0.307589i
\(457\) 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
\(459\) 4.91109 7.16692i 0.229230 0.334523i
\(460\) −2.08957 + 11.8505i −0.0974266 + 0.552534i
\(461\) −5.96078 + 1.05105i −0.277621 + 0.0489521i −0.310725 0.950500i \(-0.600572\pi\)
0.0331039 + 0.999452i \(0.489461\pi\)
\(462\) 3.92323 + 14.4468i 0.182525 + 0.672125i
\(463\) 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
\(465\) −13.8441 13.7511i −0.642006 0.637693i
\(466\) −10.4519 + 12.4561i −0.484176 + 0.577019i
\(467\) 0.179338 0.103541i 0.00829879 0.00479131i −0.495845 0.868411i \(-0.665142\pi\)
0.504144 + 0.863620i \(0.331808\pi\)
\(468\) 1.02250 + 0.846301i 0.0472651 + 0.0391203i
\(469\) −5.10928 14.0376i −0.235925 0.648198i
\(470\) 3.73544 + 21.1848i 0.172303 + 0.977180i
\(471\) 0.139813 0.528915i 0.00644226 0.0243711i
\(472\) −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
\(477\) 6.33195 3.71288i 0.289920 0.170001i
\(478\) 2.33026 6.40234i 0.106584 0.292836i
\(479\) 4.92232 + 0.867938i 0.224907 + 0.0396571i 0.284966 0.958538i \(-0.408018\pi\)
−0.0600591 + 0.998195i \(0.519129\pi\)
\(480\) 3.44381 0.312993i 0.157188 0.0142861i
\(481\) 2.41211 0.877937i 0.109983 0.0400305i
\(482\) −16.8090 9.70467i −0.765628 0.442036i
\(483\) 17.2103 8.09601i 0.783094 0.368381i
\(484\) −8.81384 7.39569i −0.400629 0.336168i
\(485\) −3.91408 3.28430i −0.177729 0.149132i
\(486\) 1.62011 + 15.5040i 0.0734896 + 0.703278i
\(487\) −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
\(489\) 0.195820 + 2.15457i 0.00885529 + 0.0974332i
\(490\) −7.23704 1.27608i −0.326936 0.0576476i
\(491\) 2.14701 5.89886i 0.0968931 0.266212i −0.881771 0.471677i \(-0.843649\pi\)
0.978664 + 0.205466i \(0.0658709\pi\)
\(492\) 5.65709 3.98962i 0.255041 0.179866i
\(493\) 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
\(498\) −1.01189 0.267484i −0.0453440 0.0119862i
\(499\) −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
\(501\) 1.01091 1.45414i 0.0451641 0.0649660i
\(502\) 14.7935 8.54106i 0.660268 0.381206i
\(503\) −6.51623 + 7.76574i −0.290544 + 0.346257i −0.891496 0.453028i \(-0.850344\pi\)
0.600952 + 0.799285i \(0.294788\pi\)
\(504\) −3.54135 4.16311i −0.157744 0.185439i
\(505\) 7.95516 + 13.7787i 0.354000 + 0.613146i
\(506\) −14.2967 + 24.7627i −0.635568 + 1.10084i
\(507\) 21.4025 5.81216i 0.950517 0.258127i
\(508\) 13.0005 2.29233i 0.576802 0.101706i
\(509\) −1.94826 + 11.0492i −0.0863553 + 0.489745i 0.910701 + 0.413067i \(0.135543\pi\)
−0.997056 + 0.0766782i \(0.975569\pi\)
\(510\) 5.24837 + 2.42586i 0.232402 + 0.107419i
\(511\) −20.1793 + 16.9324i −0.892678 + 0.749045i
\(512\) 1.00000 0.0441942
\(513\) 7.43220 21.3954i 0.328139 0.944629i
\(514\) 15.8102 0.697360
\(515\) 23.4950 19.7146i 1.03531 0.868730i
\(516\) 19.5394 + 9.03130i 0.860172 + 0.397581i
\(517\) −8.87612 + 50.3390i −0.390371 + 2.21391i
\(518\) −10.4095 + 1.83548i −0.457367 + 0.0806462i
\(519\) −25.2594 + 6.85956i −1.10876 + 0.301101i
\(520\) −0.441656 + 0.764970i −0.0193679 + 0.0335461i
\(521\) −22.3984 38.7951i −0.981290 1.69964i −0.657386 0.753554i \(-0.728338\pi\)
−0.323904 0.946090i \(-0.604995\pi\)
\(522\) −12.4827 14.6743i −0.546352 0.642275i
\(523\) 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
\(525\) −1.82657 + 2.62742i −0.0797182 + 0.114670i
\(526\) −0.888930 2.44232i −0.0387592 0.106490i
\(527\) −1.63837 9.29163i −0.0713683 0.404750i
\(528\) 7.94401 + 2.09992i 0.345719 + 0.0913873i
\(529\) 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
\(534\) 6.13306 4.32529i 0.265404 0.187174i
\(535\) 12.7671 35.0773i 0.551969 1.51652i
\(536\) −8.07503 1.42385i −0.348788 0.0615008i
\(537\) 0.931913 + 10.2537i 0.0402150 + 0.442479i
\(538\) 29.9875 10.9146i 1.29285 0.470560i
\(539\) −15.1224 8.73093i −0.651368 0.376068i
\(540\) −9.99287 + 2.78617i −0.430024 + 0.119898i
\(541\) 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
\(543\) −10.1732 + 4.78567i −0.436576 + 0.205373i
\(544\) 1.44802 + 0.836015i 0.0620834 + 0.0358438i
\(545\) 21.4162 7.79487i 0.917370 0.333895i
\(546\) 1.39040 0.126367i 0.0595035 0.00540802i
\(547\) 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
\(549\) 26.8570 15.7482i 1.14623 0.672117i
\(550\) 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
\(555\) −5.12726 + 19.3964i −0.217640 + 0.823333i
\(556\) −1.88105 10.6679i −0.0797742 0.452422i
\(557\) 4.53013 + 12.4464i 0.191948 + 0.527372i 0.997912 0.0645925i \(-0.0205747\pi\)
−0.805964 + 0.591965i \(0.798353\pi\)
\(558\) 13.0410 + 10.7938i 0.552070 + 0.456936i
\(559\) −4.76183 + 2.74924i −0.201404 + 0.116281i
\(560\) 2.33802 2.78634i 0.0987993 0.117744i
\(561\) 9.74752 + 9.68204i 0.411541 + 0.408776i
\(562\) −5.90537 10.2284i −0.249103 0.431459i
\(563\) −2.30395 + 3.99056i −0.0970999 + 0.168182i −0.910483 0.413546i \(-0.864290\pi\)
0.813383 + 0.581728i \(0.197623\pi\)
\(564\) −4.89092 18.0101i −0.205945 0.758363i
\(565\) 1.16824 0.205993i 0.0491484 0.00866619i
\(566\) 2.49475 14.1484i 0.104862 0.594702i
\(567\) 12.7016 + 10.3693i 0.533416 + 0.435472i
\(568\) 3.95758 3.32080i 0.166056 0.139338i
\(569\) 24.3659 1.02147 0.510736 0.859738i \(-0.329373\pi\)
0.510736 + 0.859738i \(0.329373\pi\)
\(570\) 14.8645 + 2.49870i 0.622607 + 0.104659i
\(571\) −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
\(573\) 17.3420 37.5196i 0.724470 1.56740i
\(574\) 1.26439 7.17073i 0.0527748 0.299301i
\(575\) −6.01923 + 1.06135i −0.251019 + 0.0442614i
\(576\) −2.95084 + 0.540847i −0.122952 + 0.0225353i
\(577\) −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
\(579\) −2.59197 + 2.60950i −0.107718 + 0.108447i
\(580\) 8.24112 9.82139i 0.342194 0.407811i
\(581\) −0.953424 + 0.550460i −0.0395547 + 0.0228369i
\(582\) 3.63963 + 2.53026i 0.150867 + 0.104882i
\(583\) 3.96996 + 10.9074i 0.164419 + 0.451738i
\(584\) 2.51076 + 14.2392i 0.103896 + 0.589224i
\(585\) 0.889525 2.49618i 0.0367773 0.103204i
\(586\) −0.00609414 0.00221809i −0.000251747 9.16283e-5i
\(587\) 19.9370 + 23.7599i 0.822887 + 0.980678i 0.999994 0.00351357i \(-0.00111841\pi\)
−0.177107 + 0.984192i \(0.556674\pi\)
\(588\) 6.35294 + 0.534241i 0.261991 + 0.0220317i
\(589\) −10.4978 22.2437i −0.432556 0.916536i
\(590\) 10.0905i 0.415421i
\(591\) 3.77584 + 5.35396i 0.155317 + 0.220232i
\(592\) −1.98433 + 5.45191i −0.0815556 + 0.224072i
\(593\) −19.0316 3.35579i −0.781536 0.137806i −0.231375 0.972865i \(-0.574322\pi\)
−0.550161 + 0.835059i \(0.685434\pi\)
\(594\) −24.5773 1.90004i −1.00842 0.0779598i
\(595\) 5.71492 2.08006i 0.234289 0.0852742i
\(596\) 9.75439 + 5.63170i 0.399555 + 0.230683i
\(597\) −10.1724 21.6241i −0.416327 0.885016i
\(598\) 2.04279 + 1.71411i 0.0835360 + 0.0700950i
\(599\) −14.4631 12.1360i −0.590946 0.495863i 0.297575 0.954698i \(-0.403822\pi\)
−0.888521 + 0.458836i \(0.848267\pi\)
\(600\) 0.747656 + 1.58935i 0.0305229 + 0.0648848i
\(601\) −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
\(603\) 24.5982 0.165810i 1.00172 0.00675231i
\(604\) −3.49280 0.615876i −0.142120 0.0250596i
\(605\) −7.85648 + 21.5855i −0.319411 + 0.877575i
\(606\) −7.95516 11.2800i −0.323156 0.458220i
\(607\) 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
\(612\) −4.72504 1.68379i −0.190998 0.0680633i
\(613\) −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
\(615\) −11.3477 7.88888i −0.457583 0.318110i
\(616\) 7.48500 4.32147i 0.301579 0.174117i
\(617\) −19.6647 + 23.4355i −0.791672 + 0.943478i −0.999397 0.0347092i \(-0.988950\pi\)
0.207725 + 0.978187i \(0.433394\pi\)
\(618\) −18.7514 + 18.8782i −0.754291 + 0.759393i
\(619\) 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
\(621\) 3.04491 + 31.1703i 0.122188 + 1.25082i
\(622\) 11.5333 2.03363i 0.462442 0.0815411i
\(623\) 1.37078 7.77406i 0.0549190 0.311461i
\(624\) 0.321518 0.695608i 0.0128710 0.0278466i
\(625\) −14.4792 + 12.1495i −0.579170 + 0.485981i
\(626\) 1.75691 0.0702201
\(627\) 31.1601 + 17.6598i 1.24442 + 0.705264i
\(628\) −0.315858 −0.0126041
\(629\) −7.43124 + 6.23555i −0.296303 + 0.248628i
\(630\) −5.39214 + 9.48657i −0.214828 + 0.377954i
\(631\) 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
\(633\) 7.31692 + 26.9436i 0.290822 + 1.07091i
\(634\) −3.50725 + 6.07474i −0.139291 + 0.241259i
\(635\) −13.1778 22.8246i −0.522944 0.905765i
\(636\) −3.00672 2.98652i −0.119224 0.118423i
\(637\) −1.04679 + 1.24752i −0.0414755 + 0.0494285i
\(638\) 26.3834 15.2325i 1.04453 0.603059i
\(639\) −9.88214 + 11.9396i −0.390932 + 0.472324i
\(640\) −0.682836 1.87608i −0.0269915 0.0741585i
\(641\) 4.01897 + 22.7927i 0.158740 + 0.900259i 0.955287 + 0.295682i \(0.0955467\pi\)
−0.796547 + 0.604577i \(0.793342\pi\)
\(642\) −8.27622 + 31.3090i −0.326637 + 1.23567i
\(643\) −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 \(-0.712569\pi\)
0.619264 0.785183i \(-0.287431\pi\)
\(648\) 8.41497 3.19191i 0.330571 0.125390i
\(649\) −8.20063 + 22.5310i −0.321903 + 0.884421i
\(650\) −0.441843 0.0779089i −0.0173305 0.00305584i
\(651\) 17.7332 1.61169i 0.695018 0.0631672i
\(652\) 1.17374 0.427207i 0.0459673 0.0167307i
\(653\) 1.49337 + 0.862200i 0.0584402 + 0.0337405i 0.528935 0.848662i \(-0.322591\pi\)
−0.470495 + 0.882403i \(0.655925\pi\)
\(654\) −17.8913 + 8.41640i −0.699607 + 0.329107i
\(655\) 10.8193 + 9.07851i 0.422747 + 0.354727i
\(656\) −3.06162 2.56900i −0.119536 0.100303i
\(657\) −15.1101 40.6599i −0.589502 1.58629i
\(658\) −17.0002 9.81505i −0.662736 0.382631i
\(659\) −22.0705 + 8.03300i −0.859744 + 0.312921i −0.734006 0.679142i \(-0.762352\pi\)
−0.125737 + 0.992064i \(0.540130\pi\)
\(660\) −1.48484 16.3375i −0.0577975 0.635935i
\(661\) 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
\(663\) 1.04710 0.738461i 0.0406661 0.0286795i
\(664\) 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
\(669\) 1.79904 + 0.475558i 0.0695548 + 0.0183861i
\(670\) 2.84268 + 16.1216i 0.109822 + 0.622833i
\(671\) 16.8386 + 46.2637i 0.650047 + 1.78599i
\(672\) −1.80123 + 2.59097i −0.0694840 + 0.0999487i
\(673\) −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
\(675\) −3.06581 4.28555i −0.118003 0.164951i
\(676\) −6.40213 11.0888i −0.246236 0.426493i
\(677\) 16.1698 28.0070i 0.621457 1.07640i −0.367757 0.929922i \(-0.619874\pi\)
0.989215 0.146474i \(-0.0467925\pi\)
\(678\) −0.993178 + 0.269712i −0.0381428 + 0.0103582i
\(679\) 4.59174 0.809648i 0.176215 0.0310714i
\(680\) 0.579668 3.28746i 0.0222292 0.126068i
\(681\) −29.5002 13.6353i −1.13045 0.522506i
\(682\) −20.5067 + 17.2072i −0.785243 + 0.658897i
\(683\) 27.4952 1.05208 0.526038 0.850461i \(-0.323677\pi\)
0.526038 + 0.850461i \(0.323677\pi\)
\(684\) −13.0390 0.991624i −0.498560 0.0379157i
\(685\) 18.7237 0.715396
\(686\) 14.9064 12.5080i 0.569131 0.477557i
\(687\) −18.2794 8.44895i −0.697403 0.322347i
\(688\) 2.15807 12.2390i 0.0822755 0.466607i
\(689\) 1.06608 0.187978i 0.0406144 0.00716141i
\(690\) −20.1139 + 5.46222i −0.765722 + 0.207943i
\(691\) 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
\(693\) −19.7498 + 16.8002i −0.750234 + 0.638188i
\(694\) 1.49140 1.77738i 0.0566128 0.0674685i
\(695\) −18.7294 + 10.8134i −0.710448 + 0.410178i
\(696\) −6.34904 + 9.13273i −0.240660 + 0.346175i
\(697\) −2.28556 6.27952i −0.0865717 0.237854i
\(698\) −2.39844 13.6023i −0.0907824 0.514853i
\(699\) −27.2285 7.19757i −1.02987 0.272237i
\(700\) 1.73608 + 0.631881i 0.0656176 + 0.0238828i
\(701\) −24.3781 29.0527i −0.920748 1.09730i −0.994981 0.100064i \(-0.968095\pi\)
0.0742333 0.997241i \(-0.476349\pi\)
\(702\) −0.572531 + 2.22652i −0.0216088 + 0.0840347i
\(703\) −14.4096 + 20.7827i −0.543467 + 0.783836i
\(704\) 4.74401i 0.178797i
\(705\) −30.4487 + 21.4737i −1.14676 + 0.808746i
\(706\) −4.98533 + 13.6971i −0.187625 + 0.515496i
\(707\) −14.2982 2.52116i −0.537739 0.0948178i
\(708\) −0.792355 8.71814i −0.0297785 0.327648i
\(709\) −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
\(711\) −26.6019 + 9.88587i −0.997649 + 0.370749i
\(712\) −3.31921 2.78515i −0.124393 0.104378i
\(713\) 26.0539 + 21.8618i 0.975724 + 0.818730i
\(714\) −4.77431 + 2.24592i −0.178674 + 0.0840513i
\(715\) 3.62903 + 2.09522i 0.135718 + 0.0783568i
\(716\) 5.58587 2.03309i 0.208754 0.0759802i
\(717\) 11.7524 1.06813i 0.438902 0.0398900i
\(718\) 19.1397 + 3.37484i 0.714287 + 0.125948i
\(719\) −0.618865 + 1.70032i −0.0230798 + 0.0634111i −0.950697 0.310120i \(-0.899631\pi\)
0.927618 + 0.373531i \(0.121853\pi\)
\(720\) 3.02961 + 5.16670i 0.112907 + 0.192552i
\(721\) 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
\(726\) 5.09294 19.2666i 0.189017 0.715051i
\(727\) 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
\(729\) −23.1049 + 13.9700i −0.855738 + 0.517409i
\(730\) 24.9995 14.4335i 0.925273 0.534206i
\(731\) 13.3569 15.9181i 0.494023 0.588754i
\(732\) −12.7530 12.6673i −0.471365 0.468198i
\(733\) 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
\(735\) −3.33574 12.2834i −0.123041 0.453080i
\(736\) −5.93571 + 1.04663i −0.218793 + 0.0385792i
\(737\) −6.75474 + 38.3080i −0.248814 + 1.41109i
\(738\) 10.4238 + 5.92485i 0.383705 + 0.218097i
\(739\) 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
\(741\) 2.12659 2.57590i 0.0781222 0.0946281i
\(742\) −4.45763 −0.163645
\(743\) −18.9259 + 15.8807i −0.694322 + 0.582606i −0.920152 0.391561i \(-0.871935\pi\)
0.225830 + 0.974167i \(0.427491\pi\)
\(744\) 4.10065 8.87181i 0.150337 0.325256i
\(745\) 3.90485 22.1455i 0.143063 0.811349i
\(746\) −5.69223 + 1.00369i −0.208407 + 0.0367478i
\(747\) −0.326825 1.78314i −0.0119579 0.0652418i
\(748\) 3.96607 6.86943i 0.145014 0.251171i
\(749\) 17.0318 + 29.4999i 0.622329 + 1.07790i
\(750\) 14.6558 14.7549i 0.535155 0.538775i
\(751\) −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
\(753\) 24.2934 + 16.8887i 0.885300 + 0.615458i
\(754\) −0.971750 2.66986i −0.0353891 0.0972306i
\(755\) 1.22958 + 6.97331i 0.0447491 + 0.253785i
\(756\) 3.91384 8.61973i 0.142345 0.313497i
\(757\) −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 \(0.0376948\pi\)
−0.992996 + 0.118145i \(0.962305\pi\)
\(762\) 13.1778 + 18.6854i 0.477380 + 0.676902i
\(763\) −7.11311 + 19.5431i −0.257512 + 0.707508i
\(764\) −23.5014 4.14393i −0.850250 0.149922i
\(765\) 0.0675037 + 10.0143i 0.00244060 + 0.362068i
\(766\) −6.29971 + 2.29291i −0.227618 + 0.0828461i
\(767\) 1.93655 + 1.11807i 0.0699249 + 0.0403711i
\(768\) 0.737283 + 1.56730i 0.0266044 + 0.0565549i
\(769\) 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
\(771\) 11.6566 + 24.7793i 0.419803 + 0.892405i