Properties

Label 114.2.l.b.41.3
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 41.3
Root \(-0.442647 - 1.67453i\) of defining polynomial
Character \(\chi\) \(=\) 114.41
Dual form 114.2.l.b.89.3

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

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

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
\(3\) 1.57223 0.726702i 0.907727 0.419561i
\(4\) 0.173648 + 0.984808i 0.0868241 + 0.492404i
\(5\) −1.96615 0.346685i −0.879288 0.155042i −0.284260 0.958747i \(-0.591748\pi\)
−0.595028 + 0.803705i \(0.702859\pi\)
\(6\) 1.67151 + 0.453924i 0.682392 + 0.185314i
\(7\) 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
\(9\) 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 −0.269903 0.962887i \(-0.586992\pi\)
−0.968837 + 0.247701i \(0.920325\pi\)
\(12\) 0.988676 + 1.42215i 0.285406 + 0.410540i
\(13\) 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
\(15\) −3.34317 + 0.883735i −0.863203 + 0.228179i
\(16\) −0.939693 + 0.342020i −0.234923 + 0.0855050i
\(17\) −1.07476 + 1.28085i −0.260668 + 0.310652i −0.880466 0.474110i \(-0.842770\pi\)
0.619798 + 0.784761i \(0.287214\pi\)
\(18\) 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 0.483760 0.875201i \(-0.339271\pi\)
0.753922 + 0.656964i \(0.228160\pi\)
\(24\) −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 −0.972782 0.231723i \(-0.925564\pi\)
0.0592808 + 0.998241i \(0.481119\pi\)
\(30\) −3.12907 1.47197i −0.571288 0.268744i
\(31\) 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
\(33\) −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 \(0.158242\pi\)
−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 −0.0316723 0.999498i \(-0.510083\pi\)
0.618203 + 0.786019i \(0.287861\pi\)
\(42\) 0.806441 + 3.05077i 0.124437 + 0.470744i
\(43\) 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
\(45\) −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 0.978876 + 0.204453i \(0.0655414\pi\)
0.0313665 + 0.999508i \(0.490014\pi\)
\(48\) −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 0.999984 0.00568857i \(-0.00181074\pi\)
−0.941623 + 0.336669i \(0.890700\pi\)
\(54\) 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 0.859031 0.511923i \(-0.171067\pi\)
−0.354977 + 0.934875i \(0.615511\pi\)
\(60\) −1.45084 3.13892i −0.187303 0.405233i
\(61\) 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
\(63\) 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 0.984982 0.172658i \(-0.0552356\pi\)
−0.341075 + 0.940036i \(0.610791\pi\)
\(68\) −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 −0.884157 0.467190i \(-0.845266\pi\)
0.990624 0.136616i \(-0.0436226\pi\)
\(72\) 1.00703 + 2.82593i 0.118680 + 0.333039i
\(73\) −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
\(78\) 0.441656 0.626247i 0.0500076 0.0709085i
\(79\) −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
\(81\) −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 −0.528446 0.848967i \(-0.677225\pi\)
0.471004 + 0.882131i \(0.343892\pi\)
\(84\) −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 0.548675 0.836036i \(-0.315133\pi\)
−0.117084 + 0.993122i \(0.537355\pi\)
\(90\) −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 −0.676037 0.736868i \(-0.736304\pi\)
0.843066 + 0.537810i \(0.180748\pi\)
\(98\) 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 0.727073 + 0.686560i \(0.240880\pi\)
−0.998283 + 0.0585821i \(0.981342\pi\)
\(102\) −2.37788 + 1.65310i −0.235445 + 0.163681i
\(103\) −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
\(105\) −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 −0.822573 0.568660i \(-0.807462\pi\)
−0.0811876 0.996699i \(-0.525871\pi\)
\(108\) 5.17154 + 0.505189i 0.497631 + 0.0486118i
\(109\) −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
\(111\) 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 −0.561326 0.827595i \(-0.689709\pi\)
0.961968 0.273161i \(-0.0880691\pi\)
\(128\) 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 −0.927193 0.374583i \(-0.877786\pi\)
0.529898 + 0.848062i \(0.322230\pi\)
\(132\) −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 −0.553641 0.832755i \(-0.686762\pi\)
−0.235434 + 0.971890i \(0.575651\pi\)
\(138\) 10.3967 + 0.944913i 0.885026 + 0.0804363i
\(139\) 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
\(141\) 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 −0.991501 0.130100i \(-0.958470\pi\)
0.675907 0.736987i \(-0.263752\pi\)
\(150\) −1.43537 1.01228i −0.117198 0.0826527i
\(151\) 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
\(156\) 0.740871 0.195842i 0.0593172 0.0156799i
\(157\) −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
\(159\) 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 −0.840530 0.541765i \(-0.817756\pi\)
0.889447 + 0.457038i \(0.151090\pi\)
\(164\) 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 0.990907 0.134552i \(-0.0429595\pi\)
−0.977167 + 0.212472i \(0.931848\pi\)
\(168\) −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 0.0860802 0.996288i \(-0.472566\pi\)
−0.966205 + 0.257776i \(0.917010\pi\)
\(174\) −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 −0.733310 0.679895i \(-0.762026\pi\)
0.955461 + 0.295118i \(0.0953588\pi\)
\(180\) −4.56212 3.88078i −0.340040 0.289256i
\(181\) −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
\(183\) 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 \(0.331648\pi\)
−0.504577 + 0.863367i \(0.668352\pi\)
\(192\) −1.41546 0.998240i −0.102152 0.0720417i
\(193\) −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
\(195\) −0.138479 + 1.52366i −0.00991669 + 0.109112i
\(196\) 3.45884 + 1.25891i 0.247060 + 0.0899225i
\(197\) 3.27574 1.89125i 0.233387 0.134746i −0.378747 0.925500i \(-0.623645\pi\)
0.612133 + 0.790755i \(0.290312\pi\)
\(198\) −13.3406 4.95768i −0.948077 0.352327i
\(199\) −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
\(201\) 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 −0.280662 0.959807i \(-0.590554\pi\)
0.993961 + 0.109730i \(0.0349985\pi\)
\(212\) −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 0.208961 0.977924i \(-0.432992\pi\)
−0.138110 + 0.990417i \(0.544103\pi\)
\(224\) −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 −0.377565 0.925983i \(-0.623239\pi\)
−0.671500 + 0.741004i \(0.734350\pi\)
\(234\) 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 0.678543 0.734560i \(-0.262612\pi\)
−0.296876 + 0.954916i \(0.595945\pi\)
\(240\) 2.83930 1.97387i 0.183276 0.127413i
\(241\) −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
\(243\) −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 0.384664 0.923057i \(-0.374317\pi\)
0.677170 + 0.735827i \(0.263206\pi\)
\(252\) −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 −0.181462 0.983398i \(-0.558083\pi\)
0.936947 + 0.349471i \(0.113639\pi\)
\(258\) 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 0.964078 0.265620i \(-0.0855768\pi\)
−0.909264 + 0.416220i \(0.863355\pi\)
\(264\) 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 0.835039 0.550191i \(-0.185445\pi\)
0.993333 0.115281i \(-0.0367769\pi\)
\(270\) −9.44589 + 4.28896i −0.574859 + 0.261018i
\(271\) −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
\(273\) 1.14633 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 −0.718746 0.695272i \(-0.755284\pi\)
0.961497 + 0.274816i \(0.0886171\pi\)
\(278\) 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 0.982848 + 0.184417i \(0.0590396\pi\)
−0.860501 + 0.509449i \(0.829849\pi\)
\(282\) 7.83003 + 16.9404i 0.466271 + 1.00878i
\(283\) 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
\(285\) 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 −0.866120 0.499836i \(-0.833394\pi\)
0.865931 + 0.500164i \(0.166727\pi\)
\(294\) 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 0.998736 + 0.0502623i \(0.0160057\pi\)
−0.732768 + 0.680478i \(0.761772\pi\)
\(308\) 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 −0.184077 0.982912i \(-0.558930\pi\)
0.759188 + 0.650871i \(0.225596\pi\)
\(312\) 0.693425 + 0.326199i 0.0392575 + 0.0184674i
\(313\) 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
\(315\) −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 0.150211 0.988654i \(-0.452005\pi\)
−0.520426 + 0.853907i \(0.674227\pi\)
\(318\) −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 0.461955 0.886903i \(-0.347148\pi\)
−0.537103 + 0.843517i \(0.680481\pi\)
\(332\) −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 0.956159 0.292847i \(-0.0946028\pi\)
0.798336 + 0.602212i \(0.205714\pi\)
\(338\) 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 0.234643 0.972082i \(-0.424608\pi\)
−0.111980 + 0.993711i \(0.535719\pi\)
\(348\) −10.7341 2.91499i −0.575406 0.156260i
\(349\) 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
\(351\) −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 0.124915 0.992167i \(-0.460134\pi\)
−0.796785 + 0.604263i \(0.793468\pi\)
\(354\) 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 −0.327959 0.944692i \(-0.606361\pi\)
0.987290 + 0.158932i \(0.0508051\pi\)
\(360\) −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 0.149863 0.988707i \(-0.452117\pi\)
−0.520727 + 0.853723i \(0.674339\pi\)
\(368\) −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 −0.623962 0.781455i \(-0.714478\pi\)
0.364779 + 0.931094i \(0.381145\pi\)
\(374\) 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 \(-0.705653\pi\)
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 −0.497916 0.867225i \(-0.665901\pi\)
0.176016 + 0.984387i \(0.443679\pi\)
\(384\) −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 0.908000 + 0.418971i \(0.137609\pi\)
0.254933 + 0.966959i \(0.417947\pi\)
\(390\) −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 −0.163242 0.986586i \(-0.552195\pi\)
−0.999944 + 0.0105571i \(0.996640\pi\)
\(398\) −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 0.210222 0.977654i \(-0.432581\pi\)
−0.926296 + 0.376796i \(0.877026\pi\)
\(402\) 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 0.468369 0.883533i \(-0.344842\pi\)
−0.951442 + 0.307829i \(0.900398\pi\)
\(410\) −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 \(0.0526659\pi\)
−0.986344 + 0.164701i \(0.947334\pi\)
\(420\) 3.63091 5.14845i 0.177170 0.251219i
\(421\) 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
\(423\) 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 0.0188586 0.999822i \(-0.493997\pi\)
−0.628227 + 0.778030i \(0.716219\pi\)
\(432\) 0.400514 + 5.18069i 0.0192697 + 0.249256i
\(433\) 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
\(435\) 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 −0.945574 0.325407i \(-0.894499\pi\)
0.484660 + 0.874702i \(0.338943\pi\)
\(440\) −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 −0.145320 0.989385i \(-0.546421\pi\)
0.747286 0.664503i \(-0.231357\pi\)
\(444\) −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 0.695563 0.718465i \(-0.255155\pi\)
−0.969991 + 0.243143i \(0.921822\pi\)
\(450\) −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 0.0331039 0.999452i \(-0.489461\pi\)
−0.310725 + 0.950500i \(0.600572\pi\)
\(462\) 3.92323 14.4468i 0.182525 0.672125i
\(463\) 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
\(465\) −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 0.504144 0.863620i \(-0.331808\pi\)
−0.495845 + 0.868411i \(0.665142\pi\)
\(468\) 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 −0.0600591 0.998195i \(-0.519129\pi\)
0.284966 + 0.958538i \(0.408018\pi\)
\(480\) 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 −0.926059 0.377380i \(-0.876825\pi\)
−0.136209 + 0.990680i \(0.543492\pi\)
\(488\) −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 0.978664 0.205466i \(-0.0658709\pi\)
−0.881771 + 0.471677i \(0.843649\pi\)
\(492\) 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 0.771694 + 0.635994i \(0.219410\pi\)
−0.942678 + 0.333704i \(0.891701\pi\)
\(500\) −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 0.600952 0.799285i \(-0.294788\pi\)
−0.891496 + 0.453028i \(0.850344\pi\)
\(504\) −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 −0.997056 0.0766782i \(-0.975569\pi\)
0.910701 0.413067i \(-0.135543\pi\)
\(510\) 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 −0.323904 + 0.946090i \(0.604995\pi\)
−0.657386 + 0.753554i \(0.728338\pi\)
\(522\) −12.4827 + 14.6743i −0.546352 + 0.642275i
\(523\) 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
\(525\) −1.82657 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 −0.428458 0.903562i \(-0.640943\pi\)
0.815434 + 0.578850i \(0.196499\pi\)
\(542\) −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 −0.0959702 0.995384i \(-0.530595\pi\)
0.250259 + 0.968179i \(0.419484\pi\)
\(548\) −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 −0.805964 0.591965i \(-0.798353\pi\)
0.997912 + 0.0645925i \(0.0205747\pi\)
\(558\) 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 0.813383 0.581728i \(-0.197623\pi\)
−0.910483 + 0.413546i \(0.864290\pi\)
\(564\) −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 0.807055 0.590477i \(-0.201060\pi\)
−0.914895 + 0.403691i \(0.867727\pi\)
\(578\) −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 −0.177107 0.984192i \(-0.556674\pi\)
0.999994 + 0.00351357i \(0.00111841\pi\)
\(588\) 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 −0.550161 0.835059i \(-0.685434\pi\)
−0.231375 + 0.972865i \(0.574322\pi\)
\(594\) −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 −0.888521 0.458836i \(-0.848267\pi\)
0.297575 + 0.954698i \(0.403822\pi\)
\(600\) 0.747656 1.58935i 0.0305229 0.0648848i
\(601\) −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
\(603\) 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 \(-0.954209\pi\)
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
\(612\) −4.72504 + 1.68379i −0.190998 + 0.0680633i
\(613\) −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
\(615\) −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 0.207725 0.978187i \(-0.433394\pi\)
−0.999397 + 0.0347092i \(0.988950\pi\)
\(618\) −18.7514 18.8782i −0.754291 0.759393i
\(619\) 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
\(621\) 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 0.986611 0.163094i \(-0.0521472\pi\)
−0.982892 + 0.184183i \(0.941036\pi\)
\(632\) 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 −0.796547 0.604577i \(-0.793342\pi\)
0.955287 0.295682i \(-0.0955467\pi\)
\(642\) −8.27622 31.3090i −0.326637 1.23567i
\(643\) −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 \(0.287431\pi\)
−0.619264 + 0.785183i \(0.712569\pi\)
\(648\) 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 −0.470495 0.882403i \(-0.655925\pi\)
0.528935 + 0.848662i \(0.322591\pi\)
\(654\) −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 −0.125737 0.992064i \(-0.540130\pi\)
−0.734006 + 0.679142i \(0.762352\pi\)
\(660\) −1.48484 + 16.3375i −0.0577975 + 0.635935i
\(661\) 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
\(663\) 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 −0.293555 0.955942i \(-0.594838\pi\)
−0.974648 + 0.223745i \(0.928172\pi\)
\(674\) 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 0.989215 + 0.146474i \(0.0467925\pi\)
−0.367757 + 0.929922i \(0.619874\pi\)
\(678\) −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 0.981619 0.190850i \(-0.0611243\pi\)
−0.656090 + 0.754682i \(0.727791\pi\)
\(692\) 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 0.0742333 + 0.997241i \(0.476349\pi\)
−0.994981 + 0.100064i \(0.968095\pi\)
\(702\) −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 −0.0258338 0.999666i \(-0.508224\pi\)
−0.662363 + 0.749183i \(0.730446\pi\)
\(710\) −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 0.927618 0.373531i \(-0.121853\pi\)
−0.950697 + 0.310120i \(0.899631\pi\)
\(720\) 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 −0.907842 0.419312i \(-0.862271\pi\)
0.996506 0.0835244i \(-0.0266177\pi\)
\(728\) −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 −0.805107 0.593130i \(-0.797892\pi\)
0.916219 + 0.400678i \(0.131225\pi\)
\(734\) −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 0.894140 0.447788i \(-0.147788\pi\)
−0.285719 + 0.958313i \(0.592232\pi\)
\(740\) 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 0.225830 0.974167i \(-0.427491\pi\)
−0.920152 + 0.391561i \(0.871935\pi\)
\(744\) 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 0.422540 0.906344i \(-0.361139\pi\)
−0.965948 + 0.258735i \(0.916694\pi\)
\(752\) −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 −0.536705 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 \(-0.962305\pi\)
0.992996 0.118145i \(-0.0376948\pi\)
\(762\) 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 −0.519590 0.854416i \(-0.673915\pi\)
0.751209 + 0.660064i \(0.229471\pi\)
\(770\) −13.2184 + 11.0916i −0.476359 + 0.399713i
\(771\) 11.6566 24.7793i 0.419803 0.892405i