Properties

Label 144.2.u.a.83.19
Level $144$
Weight $2$
Character 144.83
Analytic conductor $1.150$
Analytic rank $0$
Dimension $88$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.u (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(88\)
Relative dimension: \(22\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 83.19
Character \(\chi\) \(=\) 144.83
Dual form 144.2.u.a.59.19

$q$-expansion

\(f(q)\) \(=\) \(q+(1.19684 + 0.753382i) q^{2} +(-0.256373 + 1.71297i) q^{3} +(0.864831 + 1.80335i) q^{4} +(0.546024 - 2.03779i) q^{5} +(-1.59736 + 1.85700i) q^{6} +(-0.0638076 + 0.110518i) q^{7} +(-0.323550 + 2.80986i) q^{8} +(-2.86855 - 0.878321i) q^{9} +O(q^{10})\) \(q+(1.19684 + 0.753382i) q^{2} +(-0.256373 + 1.71297i) q^{3} +(0.864831 + 1.80335i) q^{4} +(0.546024 - 2.03779i) q^{5} +(-1.59736 + 1.85700i) q^{6} +(-0.0638076 + 0.110518i) q^{7} +(-0.323550 + 2.80986i) q^{8} +(-2.86855 - 0.878321i) q^{9} +(2.18873 - 2.02753i) q^{10} +(-0.181856 - 0.678695i) q^{11} +(-3.31081 + 1.01910i) q^{12} +(0.493860 - 1.84311i) q^{13} +(-0.159630 + 0.0842004i) q^{14} +(3.35069 + 1.45776i) q^{15} +(-2.50413 + 3.11918i) q^{16} -4.32243i q^{17} +(-2.77147 - 3.21232i) q^{18} +(-3.97707 + 3.97707i) q^{19} +(4.14706 - 0.777671i) q^{20} +(-0.172956 - 0.137635i) q^{21} +(0.293665 - 0.949293i) q^{22} +(6.81589 - 3.93516i) q^{23} +(-4.73026 - 1.27461i) q^{24} +(0.475689 + 0.274639i) q^{25} +(1.97963 - 1.83383i) q^{26} +(2.23996 - 4.68856i) q^{27} +(-0.254485 - 0.0194880i) q^{28} +(-0.248377 - 0.926957i) q^{29} +(2.91197 + 4.26904i) q^{30} +(4.91353 - 2.83683i) q^{31} +(-5.34697 + 1.84658i) q^{32} +(1.20921 - 0.137514i) q^{33} +(3.25644 - 5.17324i) q^{34} +(0.190372 + 0.190372i) q^{35} +(-0.896888 - 5.93259i) q^{36} +(-6.64358 + 6.64358i) q^{37} +(-7.75614 + 1.76364i) q^{38} +(3.03058 + 1.31849i) q^{39} +(5.54923 + 2.19358i) q^{40} +(-4.61325 - 7.99038i) q^{41} +(-0.103308 - 0.295028i) q^{42} +(-10.8712 + 2.91294i) q^{43} +(1.06665 - 0.914906i) q^{44} +(-3.35613 + 5.36590i) q^{45} +(11.1222 + 0.425234i) q^{46} +(-5.92267 + 10.2584i) q^{47} +(-4.70108 - 5.08919i) q^{48} +(3.49186 + 6.04807i) q^{49} +(0.362413 + 0.687073i) q^{50} +(7.40421 + 1.10816i) q^{51} +(3.75087 - 0.703377i) q^{52} +(-0.00259022 - 0.00259022i) q^{53} +(6.21314 - 3.92389i) q^{54} -1.48233 q^{55} +(-0.289895 - 0.215049i) q^{56} +(-5.79299 - 7.83221i) q^{57} +(0.401086 - 1.29654i) q^{58} +(-4.09587 - 1.09748i) q^{59} +(0.268933 + 7.30317i) q^{60} +(4.44908 - 1.19213i) q^{61} +(8.01790 + 0.306548i) q^{62} +(0.280105 - 0.260982i) q^{63} +(-7.79063 - 1.81826i) q^{64} +(-3.48621 - 2.01276i) q^{65} +(1.55082 + 0.746413i) q^{66} +(2.01106 + 0.538862i) q^{67} +(7.79486 - 3.73818i) q^{68} +(4.99340 + 12.6843i) q^{69} +(0.0844211 + 0.371267i) q^{70} +3.80683i q^{71} +(3.39608 - 7.77603i) q^{72} +1.87674i q^{73} +(-12.9564 + 2.94612i) q^{74} +(-0.592403 + 0.744431i) q^{75} +(-10.6115 - 3.73255i) q^{76} +(0.0866118 + 0.0232076i) q^{77} +(2.63378 + 3.86120i) q^{78} +(-3.00919 - 1.73736i) q^{79} +(4.98892 + 6.80604i) q^{80} +(7.45710 + 5.03901i) q^{81} +(0.498509 - 13.0387i) q^{82} +(-1.47149 + 0.394284i) q^{83} +(0.0986256 - 0.430930i) q^{84} +(-8.80821 - 2.36015i) q^{85} +(-15.2056 - 4.70388i) q^{86} +(1.65153 - 0.187816i) q^{87} +(1.96588 - 0.291398i) q^{88} +10.5967 q^{89} +(-8.05931 + 3.89366i) q^{90} +(0.172185 + 0.172185i) q^{91} +(12.9911 + 8.88818i) q^{92} +(3.59971 + 9.14402i) q^{93} +(-14.8169 + 7.81555i) q^{94} +(5.93284 + 10.2760i) q^{95} +(-1.79232 - 9.63263i) q^{96} +(3.31795 - 5.74685i) q^{97} +(-0.377331 + 9.86925i) q^{98} +(-0.0744506 + 2.10659i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} + O(q^{10}) \) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} - 8q^{10} - 6q^{11} - 16q^{12} - 2q^{13} - 6q^{14} - 2q^{16} - 10q^{18} - 8q^{19} - 48q^{20} + 2q^{21} - 2q^{22} - 12q^{23} - 16q^{27} + 8q^{28} - 6q^{29} - 34q^{30} - 6q^{32} - 8q^{33} + 2q^{34} - 26q^{36} - 8q^{37} - 6q^{38} - 32q^{39} - 2q^{40} + 48q^{42} - 2q^{43} + 6q^{45} - 40q^{46} + 42q^{48} - 24q^{49} + 72q^{50} - 12q^{51} - 2q^{52} - 38q^{54} - 16q^{55} + 36q^{56} + 16q^{58} - 42q^{59} + 70q^{60} - 2q^{61} - 44q^{64} - 12q^{65} + 104q^{66} - 2q^{67} + 96q^{68} - 10q^{69} - 16q^{70} - 10q^{72} + 78q^{74} - 56q^{75} - 14q^{76} - 6q^{77} + 12q^{78} - 8q^{81} - 36q^{82} + 54q^{83} + 158q^{84} + 8q^{85} + 54q^{86} + 48q^{87} + 22q^{88} + 64q^{90} + 20q^{91} + 108q^{92} - 34q^{93} + 6q^{94} - 58q^{96} - 4q^{97} + 46q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{6}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.19684 + 0.753382i 0.846291 + 0.532722i
\(3\) −0.256373 + 1.71297i −0.148017 + 0.988985i
\(4\) 0.864831 + 1.80335i 0.432416 + 0.901674i
\(5\) 0.546024 2.03779i 0.244189 0.911327i −0.729600 0.683874i \(-0.760294\pi\)
0.973789 0.227452i \(-0.0730396\pi\)
\(6\) −1.59736 + 1.85700i −0.652119 + 0.758117i
\(7\) −0.0638076 + 0.110518i −0.0241170 + 0.0417719i −0.877832 0.478969i \(-0.841011\pi\)
0.853715 + 0.520741i \(0.174344\pi\)
\(8\) −0.323550 + 2.80986i −0.114392 + 0.993436i
\(9\) −2.86855 0.878321i −0.956182 0.292774i
\(10\) 2.18873 2.02753i 0.692138 0.641162i
\(11\) −0.181856 0.678695i −0.0548316 0.204634i 0.933076 0.359680i \(-0.117114\pi\)
−0.987907 + 0.155046i \(0.950447\pi\)
\(12\) −3.31081 + 1.01910i −0.955747 + 0.294189i
\(13\) 0.493860 1.84311i 0.136972 0.511187i −0.863010 0.505187i \(-0.831424\pi\)
0.999982 0.00599967i \(-0.00190977\pi\)
\(14\) −0.159630 + 0.0842004i −0.0426628 + 0.0225035i
\(15\) 3.35069 + 1.45776i 0.865144 + 0.376391i
\(16\) −2.50413 + 3.11918i −0.626034 + 0.779796i
\(17\) 4.32243i 1.04834i −0.851612 0.524172i \(-0.824375\pi\)
0.851612 0.524172i \(-0.175625\pi\)
\(18\) −2.77147 3.21232i −0.653241 0.757150i
\(19\) −3.97707 + 3.97707i −0.912401 + 0.912401i −0.996461 0.0840594i \(-0.973211\pi\)
0.0840594 + 0.996461i \(0.473211\pi\)
\(20\) 4.14706 0.777671i 0.927311 0.173893i
\(21\) −0.172956 0.137635i −0.0377420 0.0300343i
\(22\) 0.293665 0.949293i 0.0626096 0.202390i
\(23\) 6.81589 3.93516i 1.42121 0.820537i 0.424809 0.905283i \(-0.360341\pi\)
0.996403 + 0.0847463i \(0.0270080\pi\)
\(24\) −4.73026 1.27461i −0.965561 0.260178i
\(25\) 0.475689 + 0.274639i 0.0951377 + 0.0549278i
\(26\) 1.97963 1.83383i 0.388238 0.359644i
\(27\) 2.23996 4.68856i 0.431080 0.902314i
\(28\) −0.254485 0.0194880i −0.0480932 0.00368288i
\(29\) −0.248377 0.926957i −0.0461225 0.172132i 0.939023 0.343855i \(-0.111733\pi\)
−0.985145 + 0.171724i \(0.945066\pi\)
\(30\) 2.91197 + 4.26904i 0.531651 + 0.779417i
\(31\) 4.91353 2.83683i 0.882496 0.509509i 0.0110152 0.999939i \(-0.496494\pi\)
0.871480 + 0.490430i \(0.163160\pi\)
\(32\) −5.34697 + 1.84658i −0.945220 + 0.326433i
\(33\) 1.20921 0.137514i 0.210496 0.0239382i
\(34\) 3.25644 5.17324i 0.558476 0.887204i
\(35\) 0.190372 + 0.190372i 0.0321787 + 0.0321787i
\(36\) −0.896888 5.93259i −0.149481 0.988765i
\(37\) −6.64358 + 6.64358i −1.09220 + 1.09220i −0.0969037 + 0.995294i \(0.530894\pi\)
−0.995294 + 0.0969037i \(0.969106\pi\)
\(38\) −7.75614 + 1.76364i −1.25821 + 0.286101i
\(39\) 3.03058 + 1.31849i 0.485281 + 0.211128i
\(40\) 5.54923 + 2.19358i 0.877411 + 0.346835i
\(41\) −4.61325 7.99038i −0.720469 1.24789i −0.960812 0.277200i \(-0.910593\pi\)
0.240344 0.970688i \(-0.422740\pi\)
\(42\) −0.103308 0.295028i −0.0159408 0.0455238i
\(43\) −10.8712 + 2.91294i −1.65785 + 0.444219i −0.961795 0.273772i \(-0.911729\pi\)
−0.696053 + 0.717991i \(0.745062\pi\)
\(44\) 1.06665 0.914906i 0.160803 0.137927i
\(45\) −3.35613 + 5.36590i −0.500302 + 0.799902i
\(46\) 11.1222 + 0.425234i 1.63988 + 0.0626973i
\(47\) −5.92267 + 10.2584i −0.863910 + 1.49634i 0.00421475 + 0.999991i \(0.498658\pi\)
−0.868125 + 0.496345i \(0.834675\pi\)
\(48\) −4.70108 5.08919i −0.678543 0.734561i
\(49\) 3.49186 + 6.04807i 0.498837 + 0.864011i
\(50\) 0.362413 + 0.687073i 0.0512530 + 0.0971668i
\(51\) 7.40421 + 1.10816i 1.03680 + 0.155173i
\(52\) 3.75087 0.703377i 0.520153 0.0975408i
\(53\) −0.00259022 0.00259022i −0.000355794 0.000355794i 0.706929 0.707285i \(-0.250080\pi\)
−0.707285 + 0.706929i \(0.750080\pi\)
\(54\) 6.21314 3.92389i 0.845501 0.533974i
\(55\) −1.48233 −0.199878
\(56\) −0.289895 0.215049i −0.0387389 0.0287371i
\(57\) −5.79299 7.83221i −0.767300 1.03740i
\(58\) 0.401086 1.29654i 0.0526651 0.170244i
\(59\) −4.09587 1.09748i −0.533237 0.142880i −0.0178541 0.999841i \(-0.505683\pi\)
−0.515382 + 0.856960i \(0.672350\pi\)
\(60\) 0.268933 + 7.30317i 0.0347191 + 0.942836i
\(61\) 4.44908 1.19213i 0.569646 0.152636i 0.0375117 0.999296i \(-0.488057\pi\)
0.532134 + 0.846660i \(0.321390\pi\)
\(62\) 8.01790 + 0.306548i 1.01827 + 0.0389317i
\(63\) 0.280105 0.260982i 0.0352900 0.0328807i
\(64\) −7.79063 1.81826i −0.973829 0.227282i
\(65\) −3.48621 2.01276i −0.432411 0.249652i
\(66\) 1.55082 + 0.746413i 0.190893 + 0.0918771i
\(67\) 2.01106 + 0.538862i 0.245690 + 0.0658325i 0.379563 0.925166i \(-0.376075\pi\)
−0.133872 + 0.990999i \(0.542741\pi\)
\(68\) 7.79486 3.73818i 0.945265 0.453320i
\(69\) 4.99340 + 12.6843i 0.601134 + 1.52701i
\(70\) 0.0844211 + 0.371267i 0.0100903 + 0.0443748i
\(71\) 3.80683i 0.451788i 0.974152 + 0.225894i \(0.0725303\pi\)
−0.974152 + 0.225894i \(0.927470\pi\)
\(72\) 3.39608 7.77603i 0.400232 0.916414i
\(73\) 1.87674i 0.219656i 0.993951 + 0.109828i \(0.0350300\pi\)
−0.993951 + 0.109828i \(0.964970\pi\)
\(74\) −12.9564 + 2.94612i −1.50615 + 0.342479i
\(75\) −0.592403 + 0.744431i −0.0684048 + 0.0859595i
\(76\) −10.6115 3.73255i −1.21723 0.428152i
\(77\) 0.0866118 + 0.0232076i 0.00987033 + 0.00264475i
\(78\) 2.63378 + 3.86120i 0.298217 + 0.437195i
\(79\) −3.00919 1.73736i −0.338560 0.195468i 0.321075 0.947054i \(-0.395956\pi\)
−0.659635 + 0.751586i \(0.729289\pi\)
\(80\) 4.98892 + 6.80604i 0.557778 + 0.760939i
\(81\) 7.45710 + 5.03901i 0.828567 + 0.559890i
\(82\) 0.498509 13.0387i 0.0550511 1.43989i
\(83\) −1.47149 + 0.394284i −0.161517 + 0.0432783i −0.338671 0.940905i \(-0.609977\pi\)
0.177155 + 0.984183i \(0.443311\pi\)
\(84\) 0.0986256 0.430930i 0.0107609 0.0470183i
\(85\) −8.80821 2.36015i −0.955384 0.255994i
\(86\) −15.2056 4.70388i −1.63967 0.507233i
\(87\) 1.65153 0.187816i 0.177062 0.0201360i
\(88\) 1.96588 0.291398i 0.209563 0.0310631i
\(89\) 10.5967 1.12325 0.561624 0.827392i \(-0.310177\pi\)
0.561624 + 0.827392i \(0.310177\pi\)
\(90\) −8.05931 + 3.89366i −0.849525 + 0.410428i
\(91\) 0.172185 + 0.172185i 0.0180499 + 0.0180499i
\(92\) 12.9911 + 8.88818i 1.35441 + 0.926657i
\(93\) 3.59971 + 9.14402i 0.373272 + 0.948191i
\(94\) −14.8169 + 7.81555i −1.52825 + 0.806112i
\(95\) 5.93284 + 10.2760i 0.608697 + 1.05429i
\(96\) −1.79232 9.63263i −0.182928 0.983126i
\(97\) 3.31795 5.74685i 0.336886 0.583504i −0.646959 0.762525i \(-0.723960\pi\)
0.983845 + 0.179021i \(0.0572928\pi\)
\(98\) −0.377331 + 9.86925i −0.0381162 + 0.996945i
\(99\) −0.0744506 + 2.10659i −0.00748257 + 0.211721i
\(100\) −0.0838795 + 1.09535i −0.00838795 + 0.109535i
\(101\) 12.0922 3.24008i 1.20321 0.322400i 0.399118 0.916899i \(-0.369316\pi\)
0.804096 + 0.594499i \(0.202650\pi\)
\(102\) 8.02676 + 6.90448i 0.794767 + 0.683645i
\(103\) −4.21850 7.30665i −0.415661 0.719946i 0.579837 0.814733i \(-0.303116\pi\)
−0.995498 + 0.0947868i \(0.969783\pi\)
\(104\) 5.01909 + 1.98401i 0.492162 + 0.194549i
\(105\) −0.374908 + 0.277295i −0.0365873 + 0.0270613i
\(106\) −0.00114864 0.00505149i −0.000111566 0.000490644i
\(107\) −7.25071 + 7.25071i −0.700953 + 0.700953i −0.964615 0.263662i \(-0.915070\pi\)
0.263662 + 0.964615i \(0.415070\pi\)
\(108\) 10.3923 0.0153855i 0.999999 0.00148048i
\(109\) 10.2850 + 10.2850i 0.985128 + 0.985128i 0.999891 0.0147630i \(-0.00469937\pi\)
−0.0147630 + 0.999891i \(0.504699\pi\)
\(110\) −1.77411 1.11676i −0.169155 0.106479i
\(111\) −9.67702 13.0835i −0.918503 1.24183i
\(112\) −0.184943 0.475780i −0.0174755 0.0449570i
\(113\) −18.2964 + 10.5634i −1.72118 + 0.993722i −0.804652 + 0.593747i \(0.797648\pi\)
−0.916526 + 0.399976i \(0.869019\pi\)
\(114\) −1.03260 13.7382i −0.0967122 1.28670i
\(115\) −4.29738 16.0380i −0.400732 1.49555i
\(116\) 1.45682 1.24957i 0.135263 0.116020i
\(117\) −3.03550 + 4.85328i −0.280632 + 0.448685i
\(118\) −4.07526 4.39926i −0.375158 0.404985i
\(119\) 0.477707 + 0.275804i 0.0437913 + 0.0252829i
\(120\) −5.18021 + 8.94331i −0.472886 + 0.816409i
\(121\) 9.09872 5.25315i 0.827157 0.477559i
\(122\) 6.22294 + 1.92507i 0.563399 + 0.174288i
\(123\) 14.8700 5.85384i 1.34078 0.527823i
\(124\) 9.36516 + 6.40743i 0.841016 + 0.575404i
\(125\) 8.27822 8.27822i 0.740426 0.740426i
\(126\) 0.531860 0.101327i 0.0473818 0.00902690i
\(127\) 13.1109i 1.16340i −0.813403 0.581700i \(-0.802388\pi\)
0.813403 0.581700i \(-0.197612\pi\)
\(128\) −7.95426 8.04548i −0.703064 0.711127i
\(129\) −2.20269 19.3689i −0.193936 1.70534i
\(130\) −2.65604 5.03539i −0.232950 0.441633i
\(131\) 1.27247 4.74891i 0.111176 0.414914i −0.887797 0.460236i \(-0.847765\pi\)
0.998972 + 0.0453222i \(0.0144315\pi\)
\(132\) 1.29375 + 2.06170i 0.112606 + 0.179448i
\(133\) −0.185770 0.693305i −0.0161083 0.0601171i
\(134\) 2.00094 + 2.16003i 0.172855 + 0.186598i
\(135\) −8.33122 7.12462i −0.717037 0.613190i
\(136\) 12.1454 + 1.39852i 1.04146 + 0.119922i
\(137\) −3.41217 + 5.91005i −0.291521 + 0.504930i −0.974170 0.225817i \(-0.927495\pi\)
0.682648 + 0.730747i \(0.260828\pi\)
\(138\) −3.57984 + 18.9430i −0.304737 + 1.61253i
\(139\) −2.77132 + 10.3427i −0.235061 + 0.877258i 0.743061 + 0.669224i \(0.233373\pi\)
−0.978121 + 0.208035i \(0.933293\pi\)
\(140\) −0.178667 + 0.507946i −0.0151002 + 0.0429293i
\(141\) −16.0539 12.7753i −1.35198 1.07588i
\(142\) −2.86800 + 4.55615i −0.240677 + 0.382344i
\(143\) −1.34072 −0.112117
\(144\) 9.92287 6.74809i 0.826906 0.562341i
\(145\) −2.02456 −0.168131
\(146\) −1.41390 + 2.24615i −0.117016 + 0.185893i
\(147\) −11.2554 + 4.43089i −0.928330 + 0.365453i
\(148\) −17.7263 6.23512i −1.45709 0.512523i
\(149\) −0.0546714 + 0.204036i −0.00447885 + 0.0167153i −0.968129 0.250452i \(-0.919421\pi\)
0.963650 + 0.267167i \(0.0860875\pi\)
\(150\) −1.26985 + 0.444656i −0.103683 + 0.0363060i
\(151\) 1.14798 1.98835i 0.0934210 0.161810i −0.815528 0.578718i \(-0.803553\pi\)
0.908949 + 0.416908i \(0.136886\pi\)
\(152\) −9.88822 12.4618i −0.802040 1.01078i
\(153\) −3.79649 + 12.3991i −0.306928 + 1.00241i
\(154\) 0.0861759 + 0.0930274i 0.00694425 + 0.00749636i
\(155\) −3.09795 11.5617i −0.248833 0.928658i
\(156\) 0.243240 + 6.60547i 0.0194748 + 0.528861i
\(157\) 4.34480 16.2150i 0.346753 1.29410i −0.543799 0.839216i \(-0.683015\pi\)
0.890551 0.454883i \(-0.150319\pi\)
\(158\) −2.29261 4.34640i −0.182390 0.345781i
\(159\) 0.00510103 0.00377291i 0.000404538 0.000299211i
\(160\) 0.843367 + 11.9043i 0.0666740 + 0.941116i
\(161\) 1.00437i 0.0791556i
\(162\) 5.12863 + 11.6489i 0.402943 + 0.915225i
\(163\) 0.490399 0.490399i 0.0384110 0.0384110i −0.687640 0.726051i \(-0.741353\pi\)
0.726051 + 0.687640i \(0.241353\pi\)
\(164\) 10.4198 15.2296i 0.813647 1.18923i
\(165\) 0.380031 2.53920i 0.0295854 0.197676i
\(166\) −2.05817 0.636699i −0.159745 0.0494174i
\(167\) 9.34175 5.39346i 0.722887 0.417359i −0.0929276 0.995673i \(-0.529622\pi\)
0.815814 + 0.578314i \(0.196289\pi\)
\(168\) 0.442694 0.441450i 0.0341546 0.0340586i
\(169\) 8.10518 + 4.67953i 0.623475 + 0.359963i
\(170\) −8.76388 9.46066i −0.672159 0.725599i
\(171\) 14.9015 7.91525i 1.13955 0.605294i
\(172\) −14.6548 17.0854i −1.11742 1.30275i
\(173\) 1.23685 + 4.61598i 0.0940358 + 0.350946i 0.996871 0.0790394i \(-0.0251853\pi\)
−0.902836 + 0.429986i \(0.858519\pi\)
\(174\) 2.11811 + 1.01945i 0.160573 + 0.0772841i
\(175\) −0.0607051 + 0.0350481i −0.00458888 + 0.00264939i
\(176\) 2.57236 + 1.13230i 0.193899 + 0.0853504i
\(177\) 2.93003 6.73474i 0.220235 0.506214i
\(178\) 12.6825 + 7.98337i 0.950595 + 0.598379i
\(179\) −3.52882 3.52882i −0.263756 0.263756i 0.562822 0.826578i \(-0.309716\pi\)
−0.826578 + 0.562822i \(0.809716\pi\)
\(180\) −12.5791 1.41167i −0.937589 0.105219i
\(181\) 7.34860 7.34860i 0.546217 0.546217i −0.379127 0.925344i \(-0.623776\pi\)
0.925344 + 0.379127i \(0.123776\pi\)
\(182\) 0.0763560 + 0.335798i 0.00565988 + 0.0248910i
\(183\) 0.901454 + 7.92677i 0.0666374 + 0.585964i
\(184\) 8.85196 + 20.4249i 0.652575 + 1.50575i
\(185\) 9.91065 + 17.1658i 0.728646 + 1.26205i
\(186\) −2.58069 + 13.6558i −0.189225 + 1.00130i
\(187\) −2.93361 + 0.786059i −0.214527 + 0.0574824i
\(188\) −23.6215 1.80889i −1.72278 0.131927i
\(189\) 0.375244 + 0.546722i 0.0272950 + 0.0397681i
\(190\) −0.641105 + 16.7684i −0.0465106 + 1.21651i
\(191\) 2.58888 4.48407i 0.187325 0.324456i −0.757033 0.653377i \(-0.773352\pi\)
0.944357 + 0.328921i \(0.106685\pi\)
\(192\) 5.11194 12.8790i 0.368922 0.929460i
\(193\) 13.2173 + 22.8930i 0.951401 + 1.64787i 0.742398 + 0.669960i \(0.233689\pi\)
0.209003 + 0.977915i \(0.432978\pi\)
\(194\) 8.30061 4.37836i 0.595949 0.314348i
\(195\) 4.34158 5.45576i 0.310907 0.390695i
\(196\) −7.88692 + 11.5276i −0.563351 + 0.823400i
\(197\) −5.14652 5.14652i −0.366674 0.366674i 0.499588 0.866263i \(-0.333485\pi\)
−0.866263 + 0.499588i \(0.833485\pi\)
\(198\) −1.67618 + 2.46516i −0.119121 + 0.175191i
\(199\) −1.37436 −0.0974261 −0.0487130 0.998813i \(-0.515512\pi\)
−0.0487130 + 0.998813i \(0.515512\pi\)
\(200\) −0.925606 + 1.24776i −0.0654502 + 0.0882299i
\(201\) −1.43864 + 3.30674i −0.101474 + 0.233240i
\(202\) 16.9133 + 5.23217i 1.19002 + 0.368134i
\(203\) 0.118294 + 0.0316967i 0.00830260 + 0.00222468i
\(204\) 4.40500 + 14.3107i 0.308411 + 1.00195i
\(205\) −18.8017 + 5.03789i −1.31316 + 0.351861i
\(206\) 0.455852 11.9230i 0.0317607 0.830715i
\(207\) −23.0080 + 5.30163i −1.59917 + 0.368489i
\(208\) 4.51231 + 6.15583i 0.312872 + 0.426830i
\(209\) 3.42246 + 1.97596i 0.236737 + 0.136680i
\(210\) −0.657613 + 0.0494281i −0.0453796 + 0.00341086i
\(211\) 11.1381 + 2.98444i 0.766776 + 0.205457i 0.620947 0.783853i \(-0.286748\pi\)
0.145829 + 0.989310i \(0.453415\pi\)
\(212\) 0.00243097 0.00691117i 0.000166959 0.000474661i
\(213\) −6.52100 0.975971i −0.446811 0.0668724i
\(214\) −14.1405 + 3.21536i −0.966623 + 0.219797i
\(215\) 23.7438i 1.61931i
\(216\) 12.4495 + 7.81095i 0.847078 + 0.531468i
\(217\) 0.724045i 0.0491514i
\(218\) 4.56094 + 20.0581i 0.308906 + 1.35850i
\(219\) −3.21481 0.481147i −0.217237 0.0325129i
\(220\) −1.28197 2.67316i −0.0864303 0.180225i
\(221\) −7.96672 2.13468i −0.535900 0.143594i
\(222\) −1.72494 22.9493i −0.115770 1.54026i
\(223\) 17.9819 + 10.3819i 1.20416 + 0.695220i 0.961477 0.274886i \(-0.0886402\pi\)
0.242680 + 0.970106i \(0.421974\pi\)
\(224\) 0.137097 0.708763i 0.00916019 0.0473562i
\(225\) −1.12331 1.20562i −0.0748876 0.0803748i
\(226\) −29.8560 1.14149i −1.98599 0.0759305i
\(227\) 7.65406 2.05090i 0.508018 0.136123i 0.00429906 0.999991i \(-0.498632\pi\)
0.503718 + 0.863868i \(0.331965\pi\)
\(228\) 9.11426 17.2203i 0.603607 1.14044i
\(229\) 0.448692 + 0.120227i 0.0296504 + 0.00794481i 0.273614 0.961840i \(-0.411781\pi\)
−0.243963 + 0.969784i \(0.578448\pi\)
\(230\) 6.93951 22.4325i 0.457578 1.47915i
\(231\) −0.0619589 + 0.142414i −0.00407659 + 0.00937014i
\(232\) 2.68498 0.397989i 0.176278 0.0261293i
\(233\) −9.13737 −0.598609 −0.299305 0.954158i \(-0.596755\pi\)
−0.299305 + 0.954158i \(0.596755\pi\)
\(234\) −7.28937 + 3.52168i −0.476521 + 0.230219i
\(235\) 17.6705 + 17.6705i 1.15269 + 1.15269i
\(236\) −1.56309 8.33542i −0.101748 0.542589i
\(237\) 3.74752 4.70925i 0.243428 0.305898i
\(238\) 0.363951 + 0.689988i 0.0235914 + 0.0447253i
\(239\) 3.65824 + 6.33626i 0.236632 + 0.409859i 0.959746 0.280870i \(-0.0906231\pi\)
−0.723114 + 0.690729i \(0.757290\pi\)
\(240\) −12.9376 + 6.80099i −0.835118 + 0.439002i
\(241\) −1.24858 + 2.16261i −0.0804282 + 0.139306i −0.903434 0.428727i \(-0.858962\pi\)
0.823006 + 0.568033i \(0.192295\pi\)
\(242\) 14.8473 + 0.567657i 0.954421 + 0.0364904i
\(243\) −10.5435 + 11.4819i −0.676365 + 0.736567i
\(244\) 5.99752 + 6.99225i 0.383952 + 0.447633i
\(245\) 14.2313 3.81327i 0.909206 0.243621i
\(246\) 22.2071 + 4.19671i 1.41588 + 0.267573i
\(247\) 5.36605 + 9.29428i 0.341434 + 0.591381i
\(248\) 6.38132 + 14.7242i 0.405214 + 0.934986i
\(249\) −0.298147 2.62170i −0.0188943 0.166144i
\(250\) 16.1443 3.67100i 1.02106 0.232175i
\(251\) 2.77626 2.77626i 0.175236 0.175236i −0.614039 0.789275i \(-0.710456\pi\)
0.789275 + 0.614039i \(0.210456\pi\)
\(252\) 0.712886 + 0.279422i 0.0449076 + 0.0176019i
\(253\) −3.91028 3.91028i −0.245837 0.245837i
\(254\) 9.87749 15.6915i 0.619769 0.984575i
\(255\) 6.30106 14.4831i 0.394588 0.906969i
\(256\) −3.45862 15.6217i −0.216164 0.976357i
\(257\) −9.61957 + 5.55386i −0.600052 + 0.346440i −0.769062 0.639174i \(-0.779276\pi\)
0.169010 + 0.985614i \(0.445943\pi\)
\(258\) 11.9559 24.8409i 0.744344 1.54653i
\(259\) −0.310324 1.15815i −0.0192826 0.0719637i
\(260\) 0.614733 8.02755i 0.0381241 0.497847i
\(261\) −0.101684 + 2.87717i −0.00629409 + 0.178093i
\(262\) 5.10067 4.72501i 0.315121 0.291912i
\(263\) −16.6320 9.60247i −1.02557 0.592114i −0.109858 0.993947i \(-0.535040\pi\)
−0.915713 + 0.401834i \(0.868373\pi\)
\(264\) −0.00484285 + 3.44220i −0.000298057 + 0.211853i
\(265\) −0.00669264 + 0.00386400i −0.000411125 + 0.000237363i
\(266\) 0.299987 0.969728i 0.0183934 0.0594578i
\(267\) −2.71671 + 18.1519i −0.166260 + 1.11088i
\(268\) 0.767472 + 4.09267i 0.0468808 + 0.250000i
\(269\) −7.66476 + 7.66476i −0.467329 + 0.467329i −0.901048 0.433719i \(-0.857201\pi\)
0.433719 + 0.901048i \(0.357201\pi\)
\(270\) −4.60354 14.8036i −0.280162 0.900918i
\(271\) 12.9801i 0.788486i −0.919006 0.394243i \(-0.871007\pi\)
0.919006 0.394243i \(-0.128993\pi\)
\(272\) 13.4825 + 10.8240i 0.817495 + 0.656299i
\(273\) −0.339091 + 0.250804i −0.0205227 + 0.0151794i
\(274\) −8.53633 + 4.50269i −0.515699 + 0.272018i
\(275\) 0.0998893 0.372792i 0.00602355 0.0224802i
\(276\) −18.5558 + 19.9746i −1.11693 + 1.20233i
\(277\) −6.42631 23.9833i −0.386119 1.44102i −0.836395 0.548127i \(-0.815341\pi\)
0.450276 0.892890i \(-0.351326\pi\)
\(278\) −11.1088 + 10.2907i −0.666264 + 0.617194i
\(279\) −16.5863 + 3.82191i −0.992997 + 0.228812i
\(280\) −0.596513 + 0.473324i −0.0356485 + 0.0282865i
\(281\) −3.69120 + 6.39334i −0.220198 + 0.381395i −0.954868 0.297030i \(-0.904004\pi\)
0.734670 + 0.678425i \(0.237337\pi\)
\(282\) −9.58914 27.3847i −0.571025 1.63073i
\(283\) 1.60691 5.99708i 0.0955211 0.356490i −0.901577 0.432619i \(-0.857590\pi\)
0.997098 + 0.0761294i \(0.0242562\pi\)
\(284\) −6.86505 + 3.29227i −0.407366 + 0.195360i
\(285\) −19.1235 + 7.52830i −1.13278 + 0.445938i
\(286\) −1.60462 1.01007i −0.0948832 0.0597269i
\(287\) 1.17744 0.0695022
\(288\) 16.9599 0.600642i 0.999373 0.0353932i
\(289\) −1.68344 −0.0990261
\(290\) −2.42307 1.52527i −0.142287 0.0895668i
\(291\) 8.99356 + 7.15689i 0.527212 + 0.419544i
\(292\) −3.38442 + 1.62307i −0.198058 + 0.0949827i
\(293\) 6.43453 24.0140i 0.375909 1.40291i −0.476103 0.879390i \(-0.657951\pi\)
0.852012 0.523522i \(-0.175382\pi\)
\(294\) −16.8090 3.17657i −0.980322 0.185261i
\(295\) −4.47288 + 7.74726i −0.260421 + 0.451063i
\(296\) −16.5180 20.8171i −0.960089 1.20997i
\(297\) −3.58945 0.667607i −0.208281 0.0387385i
\(298\) −0.219150 + 0.203009i −0.0126950 + 0.0117600i
\(299\) −3.88683 14.5058i −0.224781 0.838895i
\(300\) −1.85480 0.424502i −0.107087 0.0245086i
\(301\) 0.371735 1.38734i 0.0214265 0.0799647i
\(302\) 2.87193 1.51487i 0.165261 0.0871708i
\(303\) 2.45006 + 21.5442i 0.140753 + 1.23768i
\(304\) −2.44609 22.3643i −0.140293 1.28268i
\(305\) 9.71720i 0.556406i
\(306\) −13.8850 + 11.9795i −0.793754 + 0.684821i
\(307\) −17.3773 + 17.3773i −0.991773 + 0.991773i −0.999966 0.00819381i \(-0.997392\pi\)
0.00819381 + 0.999966i \(0.497392\pi\)
\(308\) 0.0330532 + 0.176262i 0.00188338 + 0.0100435i
\(309\) 13.5976 5.35294i 0.773541 0.304518i
\(310\) 5.00264 16.1714i 0.284131 0.918474i
\(311\) −11.9437 + 6.89568i −0.677264 + 0.391018i −0.798823 0.601566i \(-0.794544\pi\)
0.121560 + 0.992584i \(0.461210\pi\)
\(312\) −4.68532 + 8.08891i −0.265254 + 0.457945i
\(313\) −17.6368 10.1826i −0.996890 0.575555i −0.0895635 0.995981i \(-0.528547\pi\)
−0.907327 + 0.420426i \(0.861881\pi\)
\(314\) 17.4161 16.1334i 0.982848 0.910461i
\(315\) −0.378883 0.713298i −0.0213476 0.0401898i
\(316\) 0.530619 6.92914i 0.0298497 0.389795i
\(317\) 5.44301 + 20.3136i 0.305710 + 1.14092i 0.932333 + 0.361601i \(0.117770\pi\)
−0.626623 + 0.779322i \(0.715563\pi\)
\(318\) 0.00894754 0.000672523i 0.000501753 3.77132e-5i
\(319\) −0.583952 + 0.337145i −0.0326950 + 0.0188765i
\(320\) −7.95910 + 14.8828i −0.444927 + 0.831976i
\(321\) −10.5614 14.2792i −0.589479 0.796985i
\(322\) −0.756676 + 1.20207i −0.0421679 + 0.0669886i
\(323\) 17.1906 + 17.1906i 0.956511 + 0.956511i
\(324\) −2.63795 + 17.8057i −0.146553 + 0.989203i
\(325\) 0.741113 0.741113i 0.0411096 0.0411096i
\(326\) 0.956385 0.217469i 0.0529693 0.0120445i
\(327\) −20.2548 + 14.9812i −1.12009 + 0.828461i
\(328\) 23.9445 10.3773i 1.32211 0.572991i
\(329\) −0.755823 1.30912i −0.0416699 0.0721743i
\(330\) 2.36782 2.75269i 0.130344 0.151531i
\(331\) 17.0629 4.57199i 0.937862 0.251299i 0.242658 0.970112i \(-0.421981\pi\)
0.695204 + 0.718813i \(0.255314\pi\)
\(332\) −1.98362 2.31262i −0.108865 0.126921i
\(333\) 24.8926 13.2222i 1.36411 0.724573i
\(334\) 15.2439 + 0.582819i 0.834108 + 0.0318904i
\(335\) 2.19618 3.80389i 0.119990 0.207829i
\(336\) 0.862412 0.194825i 0.0470484 0.0106286i
\(337\) −4.82538 8.35780i −0.262855 0.455279i 0.704144 0.710057i \(-0.251331\pi\)
−0.966999 + 0.254778i \(0.917997\pi\)
\(338\) 6.17509 + 11.7069i 0.335881 + 0.636772i
\(339\) −13.4041 34.0493i −0.728012 1.84931i
\(340\) −3.36143 17.9254i −0.182299 0.972141i
\(341\) −2.81889 2.81889i −0.152652 0.152652i
\(342\) 23.7979 + 1.75329i 1.28684 + 0.0948071i
\(343\) −1.78454 −0.0963558
\(344\) −4.66756 31.4891i −0.251658 1.69778i
\(345\) 28.5744 3.24956i 1.53840 0.174950i
\(346\) −1.99729 + 6.45638i −0.107375 + 0.347097i
\(347\) 18.4037 + 4.93125i 0.987960 + 0.264723i 0.716393 0.697696i \(-0.245792\pi\)
0.271567 + 0.962420i \(0.412458\pi\)
\(348\) 1.76699 + 2.81585i 0.0947207 + 0.150946i
\(349\) −17.4744 + 4.68226i −0.935385 + 0.250636i −0.694150 0.719831i \(-0.744219\pi\)
−0.241236 + 0.970467i \(0.577553\pi\)
\(350\) −0.0990587 0.00378731i −0.00529491 0.000202440i
\(351\) −7.53530 6.44398i −0.402205 0.343954i
\(352\) 2.22564 + 3.29315i 0.118627 + 0.175526i
\(353\) 5.65589 + 3.26543i 0.301033 + 0.173801i 0.642907 0.765944i \(-0.277728\pi\)
−0.341874 + 0.939746i \(0.611062\pi\)
\(354\) 8.58060 5.85294i 0.456054 0.311080i
\(355\) 7.75752 + 2.07862i 0.411726 + 0.110322i
\(356\) 9.16436 + 19.1096i 0.485710 + 1.01280i
\(357\) −0.594916 + 0.747590i −0.0314863 + 0.0395667i
\(358\) −1.56487 6.88196i −0.0827058 0.363723i
\(359\) 22.8075i 1.20373i −0.798597 0.601866i \(-0.794424\pi\)
0.798597 0.601866i \(-0.205576\pi\)
\(360\) −13.9916 11.1664i −0.737420 0.588520i
\(361\) 12.6341i 0.664952i
\(362\) 14.3314 3.25876i 0.753240 0.171277i
\(363\) 6.66583 + 16.9326i 0.349865 + 0.888732i
\(364\) −0.161599 + 0.459420i −0.00847006 + 0.0240802i
\(365\) 3.82440 + 1.02475i 0.200178 + 0.0536377i
\(366\) −4.89300 + 10.1662i −0.255761 + 0.531395i
\(367\) 20.7702 + 11.9917i 1.08419 + 0.625959i 0.932025 0.362395i \(-0.118041\pi\)
0.152169 + 0.988355i \(0.451374\pi\)
\(368\) −4.79343 + 31.1142i −0.249875 + 1.62194i
\(369\) 6.21519 + 26.9727i 0.323550 + 1.40414i
\(370\) −1.07095 + 28.0111i −0.0556759 + 1.45623i
\(371\) 0.000451542 0 0.000120990i 2.34429e−5 0 6.28150e-6i
\(372\) −13.3767 + 14.3996i −0.693551 + 0.746582i
\(373\) −23.1710 6.20866i −1.19975 0.321472i −0.397018 0.917811i \(-0.629955\pi\)
−0.802733 + 0.596338i \(0.796622\pi\)
\(374\) −4.10326 1.26935i −0.212174 0.0656364i
\(375\) 12.0580 + 16.3027i 0.622674 + 0.841866i
\(376\) −26.9083 19.9610i −1.38769 1.02941i
\(377\) −1.83115 −0.0943089
\(378\) 0.0372151 + 0.937038i 0.00191414 + 0.0481960i
\(379\) 9.96634 + 9.96634i 0.511936 + 0.511936i 0.915119 0.403183i \(-0.132096\pi\)
−0.403183 + 0.915119i \(0.632096\pi\)
\(380\) −13.4003 + 19.5860i −0.687420 + 1.00474i
\(381\) 22.4585 + 3.36128i 1.15059 + 0.172203i
\(382\) 6.47668 3.41628i 0.331376 0.174792i
\(383\) −2.30770 3.99705i −0.117918 0.204240i 0.801024 0.598632i \(-0.204289\pi\)
−0.918942 + 0.394392i \(0.870955\pi\)
\(384\) 15.8209 11.5628i 0.807359 0.590061i
\(385\) 0.0945842 0.163825i 0.00482046 0.00834927i
\(386\) −1.42826 + 37.3568i −0.0726967 + 1.90141i
\(387\) 33.7431 + 1.19254i 1.71526 + 0.0606202i
\(388\) 13.2330 + 1.01336i 0.671806 + 0.0514455i
\(389\) −12.3565 + 3.31091i −0.626498 + 0.167870i −0.558080 0.829787i \(-0.688462\pi\)
−0.0684178 + 0.997657i \(0.521795\pi\)
\(390\) 9.30642 3.25878i 0.471249 0.165015i
\(391\) −17.0095 29.4612i −0.860205 1.48992i
\(392\) −18.1240 + 7.85478i −0.915402 + 0.396726i
\(393\) 7.80852 + 3.39719i 0.393887 + 0.171366i
\(394\) −2.28224 10.0368i −0.114978 0.505649i
\(395\) −5.18345 + 5.18345i −0.260808 + 0.260808i
\(396\) −3.86331 + 1.68759i −0.194139 + 0.0848045i
\(397\) −3.70313 3.70313i −0.185855 0.185855i 0.608047 0.793901i \(-0.291953\pi\)
−0.793901 + 0.608047i \(0.791953\pi\)
\(398\) −1.64489 1.03542i −0.0824508 0.0519010i
\(399\) 1.23524 0.140475i 0.0618392 0.00703252i
\(400\) −2.04784 + 0.796028i −0.102392 + 0.0398014i
\(401\) 11.5871 6.68983i 0.578633 0.334074i −0.181957 0.983307i \(-0.558243\pi\)
0.760590 + 0.649232i \(0.224910\pi\)
\(402\) −4.21306 + 2.87378i −0.210128 + 0.143331i
\(403\) −2.80199 10.4572i −0.139577 0.520908i
\(404\) 16.3007 + 19.0043i 0.810989 + 0.945497i
\(405\) 14.3402 12.4446i 0.712570 0.618376i
\(406\) 0.117699 + 0.127056i 0.00584128 + 0.00630570i
\(407\) 5.71713 + 3.30079i 0.283388 + 0.163614i
\(408\) −5.50940 + 20.4463i −0.272756 + 1.01224i
\(409\) −24.1053 + 13.9172i −1.19193 + 0.688161i −0.958744 0.284272i \(-0.908248\pi\)
−0.233185 + 0.972432i \(0.574915\pi\)
\(410\) −26.2979 8.13530i −1.29876 0.401774i
\(411\) −9.24896 7.36013i −0.456217 0.363048i
\(412\) 9.52816 13.9264i 0.469419 0.686107i
\(413\) 0.382639 0.382639i 0.0188285 0.0188285i
\(414\) −31.5310 10.9886i −1.54966 0.540062i
\(415\) 3.21387i 0.157763i
\(416\) 0.762797 + 10.7670i 0.0373992 + 0.527896i
\(417\) −17.0063 7.39880i −0.832802 0.362321i
\(418\) 2.60747 + 4.94332i 0.127536 + 0.241786i
\(419\) 2.67387 9.97902i 0.130627 0.487507i −0.869350 0.494196i \(-0.835462\pi\)
0.999978 + 0.00668892i \(0.00212917\pi\)
\(420\) −0.824292 0.436276i −0.0402214 0.0212881i
\(421\) 7.99904 + 29.8528i 0.389849 + 1.45494i 0.830379 + 0.557199i \(0.188124\pi\)
−0.440529 + 0.897738i \(0.645209\pi\)
\(422\) 11.0820 + 11.9631i 0.539464 + 0.582354i
\(423\) 25.9996 24.2246i 1.26414 1.17784i
\(424\) 0.00811622 0.00644009i 0.000394158 0.000312758i
\(425\) 1.18711 2.05613i 0.0575833 0.0997371i
\(426\) −7.06928 6.08088i −0.342508 0.294620i
\(427\) −0.152134 + 0.567770i −0.00736226 + 0.0274763i
\(428\) −19.3462 6.80492i −0.935134 0.328928i
\(429\) 0.343725 2.29662i 0.0165952 0.110882i
\(430\) −17.8882 + 28.4174i −0.862643 + 1.37041i
\(431\) −14.8449 −0.715053 −0.357526 0.933903i \(-0.616380\pi\)
−0.357526 + 0.933903i \(0.616380\pi\)
\(432\) 9.01532 + 18.7276i 0.433750 + 0.901033i
\(433\) −32.1617 −1.54559 −0.772796 0.634654i \(-0.781143\pi\)
−0.772796 + 0.634654i \(0.781143\pi\)
\(434\) −0.545482 + 0.866562i −0.0261840 + 0.0415963i
\(435\) 0.519044 3.46802i 0.0248863 0.166279i
\(436\) −9.65269 + 27.4423i −0.462280 + 1.31425i
\(437\) −11.4569 + 42.7576i −0.548056 + 2.04537i
\(438\) −3.48511 2.99783i −0.166525 0.143242i
\(439\) −0.140035 + 0.242548i −0.00668352 + 0.0115762i −0.869348 0.494201i \(-0.835461\pi\)
0.862664 + 0.505777i \(0.168794\pi\)
\(440\) 0.479609 4.16515i 0.0228644 0.198566i
\(441\) −4.70440 20.4161i −0.224019 0.972197i
\(442\) −7.92663 8.55684i −0.377031 0.407007i
\(443\) −6.50011 24.2588i −0.308830 1.15257i −0.929598 0.368574i \(-0.879846\pi\)
0.620768 0.783994i \(-0.286821\pi\)
\(444\) 15.2251 28.7661i 0.722552 1.36518i
\(445\) 5.78605 21.5938i 0.274285 1.02365i
\(446\) 13.6999 + 25.9726i 0.648708 + 1.22984i
\(447\) −0.335492 0.145960i −0.0158682 0.00690367i
\(448\) 0.698052 0.744986i 0.0329799 0.0351973i
\(449\) 14.2885i 0.674318i −0.941448 0.337159i \(-0.890534\pi\)
0.941448 0.337159i \(-0.109466\pi\)
\(450\) −0.436128 2.28922i −0.0205593 0.107915i
\(451\) −4.58408 + 4.58408i −0.215856 + 0.215856i
\(452\) −34.8728 23.8592i −1.64028 1.12224i
\(453\) 3.11168 + 2.47621i 0.146200 + 0.116343i
\(454\) 10.7058 + 3.31184i 0.502446 + 0.155432i
\(455\) 0.444893 0.256859i 0.0208569 0.0120417i
\(456\) 23.8818 13.7434i 1.11837 0.643592i
\(457\) 24.1097 + 13.9198i 1.12781 + 0.651139i 0.943382 0.331708i \(-0.107625\pi\)
0.184424 + 0.982847i \(0.440958\pi\)
\(458\) 0.446434 + 0.481928i 0.0208605 + 0.0225190i
\(459\) −20.2660 9.68207i −0.945935 0.451921i
\(460\) 25.2057 21.6199i 1.17522 1.00803i
\(461\) 4.33776 + 16.1887i 0.202030 + 0.753985i 0.990334 + 0.138700i \(0.0442923\pi\)
−0.788305 + 0.615285i \(0.789041\pi\)
\(462\) −0.181447 + 0.123767i −0.00844166 + 0.00575817i
\(463\) −26.1951 + 15.1238i −1.21739 + 0.702861i −0.964359 0.264597i \(-0.914761\pi\)
−0.253032 + 0.967458i \(0.581428\pi\)
\(464\) 3.51332 + 1.54649i 0.163102 + 0.0717940i
\(465\) 20.5991 2.34259i 0.955261 0.108635i
\(466\) −10.9359 6.88393i −0.506597 0.318892i
\(467\) −15.9369 15.9369i −0.737469 0.737469i 0.234618 0.972088i \(-0.424616\pi\)
−0.972088 + 0.234618i \(0.924616\pi\)
\(468\) −11.3773 1.27680i −0.525918 0.0590202i
\(469\) −0.187875 + 0.187875i −0.00867527 + 0.00867527i
\(470\) 7.83603 + 34.4612i 0.361449 + 1.58958i
\(471\) 26.6620 + 11.5996i 1.22852 + 0.534482i
\(472\) 4.40900 11.1537i 0.202940 0.513392i
\(473\) 3.95399 + 6.84851i 0.181805 + 0.314895i
\(474\) 8.03303 2.81288i 0.368969 0.129200i
\(475\) −2.98410 + 0.799588i −0.136920 + 0.0366876i
\(476\) −0.0842354 + 1.10000i −0.00386092 + 0.0504183i
\(477\) 0.00515511 + 0.00970520i 0.000236036 + 0.000444371i
\(478\) −0.395311 + 10.3395i −0.0180811 + 0.472919i
\(479\) 14.8100 25.6516i 0.676684 1.17205i −0.299289 0.954163i \(-0.596749\pi\)
0.975973 0.217889i \(-0.0699172\pi\)
\(480\) −20.6079 1.60728i −0.940618 0.0733618i
\(481\) 8.96385 + 15.5258i 0.408716 + 0.707917i
\(482\) −3.12361 + 1.64763i −0.142277 + 0.0750473i
\(483\) −1.72046 0.257494i −0.0782837 0.0117164i
\(484\) 17.3421 + 11.8651i 0.788278 + 0.539322i
\(485\) −9.89919 9.89919i −0.449499 0.449499i
\(486\) −21.2691 + 5.79873i −0.964786 + 0.263036i
\(487\) 25.6320 1.16150 0.580749 0.814083i \(-0.302760\pi\)
0.580749 + 0.814083i \(0.302760\pi\)
\(488\) 1.91021 + 12.8870i 0.0864712 + 0.583367i
\(489\) 0.714315 + 0.965765i 0.0323024 + 0.0436734i
\(490\) 19.9054 + 6.15777i 0.899235 + 0.278180i
\(491\) −5.25069 1.40692i −0.236960 0.0634933i 0.138385 0.990379i \(-0.455809\pi\)
−0.375345 + 0.926885i \(0.622476\pi\)
\(492\) 23.4166 + 21.7532i 1.05570 + 0.980712i
\(493\) −4.00671 + 1.07360i −0.180453 + 0.0483523i
\(494\) −0.579857 + 15.1664i −0.0260890 + 0.682369i
\(495\) 4.25214 + 1.30196i 0.191119 + 0.0585190i
\(496\) −3.45555 + 22.4300i −0.155159 + 1.00714i
\(497\) −0.420724 0.242905i −0.0188720 0.0108958i
\(498\) 1.61831 3.36236i 0.0725182 0.150671i
\(499\) −21.5779 5.78179i −0.965961 0.258829i −0.258840 0.965920i \(-0.583340\pi\)
−0.707122 + 0.707092i \(0.750007\pi\)
\(500\) 22.0878 + 7.76925i 0.987795 + 0.347452i
\(501\) 6.84387 + 17.3849i 0.305762 + 0.776700i
\(502\) 5.41432 1.23114i 0.241653 0.0549487i
\(503\) 24.7337i 1.10282i −0.834235 0.551410i \(-0.814090\pi\)
0.834235 0.551410i \(-0.185910\pi\)
\(504\) 0.642696 + 0.871498i 0.0286280 + 0.0388196i
\(505\) 26.4104i 1.17525i
\(506\) −1.73403 7.62589i −0.0770869 0.339012i
\(507\) −10.0938 + 12.6842i −0.448284 + 0.563327i
\(508\) 23.6435 11.3387i 1.04901 0.503073i
\(509\) −8.62284 2.31048i −0.382201 0.102410i 0.0626029 0.998039i \(-0.480060\pi\)
−0.444804 + 0.895628i \(0.646726\pi\)
\(510\) 18.4527 12.5868i 0.817098 0.557354i
\(511\) −0.207414 0.119751i −0.00917545 0.00529745i
\(512\) 7.62971 21.3023i 0.337189 0.941437i
\(513\) 9.73824 + 27.5552i 0.429954 + 1.21659i
\(514\) −15.6972 0.600152i −0.692375 0.0264716i
\(515\) −17.1928 + 4.60680i −0.757606 + 0.203000i
\(516\) 33.0240 20.7231i 1.45380 0.912282i
\(517\) 8.03937 + 2.15414i 0.353571 + 0.0947391i
\(518\) 0.501119 1.61990i 0.0220179 0.0711745i
\(519\) −8.22413 + 0.935271i −0.360999 + 0.0410538i
\(520\) 6.78354 9.14453i 0.297478 0.401014i
\(521\) −14.1129 −0.618299 −0.309149 0.951013i \(-0.600044\pi\)
−0.309149 + 0.951013i \(0.600044\pi\)
\(522\) −2.28931 + 3.36690i −0.100200 + 0.147365i
\(523\) −27.5776 27.5776i −1.20588 1.20588i −0.972349 0.233534i \(-0.924971\pi\)
−0.233534 0.972349i \(-0.575029\pi\)
\(524\) 9.66440 1.81230i 0.422191 0.0791708i
\(525\) −0.0444733 0.112972i −0.00194097 0.00493048i
\(526\) −12.6714 24.0228i −0.552499 1.04744i
\(527\) −12.2620 21.2384i −0.534141 0.925159i
\(528\) −2.59909 + 4.11610i −0.113111 + 0.179130i
\(529\) 19.4709 33.7246i 0.846561 1.46629i
\(530\) −0.0109211 0.000417544i −0.000474380 1.81370e-5i
\(531\) 10.7852 + 6.74567i 0.468039 + 0.292737i
\(532\) 1.08961 0.934600i 0.0472406 0.0405201i
\(533\) −17.0054 + 4.55660i −0.736588 + 0.197368i
\(534\) −16.9267 + 19.6781i −0.732492 + 0.851553i
\(535\) 10.8164 + 18.7345i 0.467632 + 0.809962i
\(536\) −2.16481 + 5.47646i −0.0935054 + 0.236547i
\(537\) 6.94946 5.14007i 0.299891 0.221810i
\(538\) −14.9479 + 3.39896i −0.644452 + 0.146540i
\(539\) 3.46978 3.46978i 0.149454 0.149454i
\(540\) 5.64309 21.1857i 0.242840 0.911687i
\(541\) 7.82995 + 7.82995i 0.336636 + 0.336636i 0.855100 0.518464i \(-0.173496\pi\)
−0.518464 + 0.855100i \(0.673496\pi\)
\(542\) 9.77898 15.5351i 0.420043 0.667288i
\(543\) 10.7040 + 14.4719i 0.459351 + 0.621050i
\(544\) 7.98173 + 23.1119i 0.342214 + 0.990917i
\(545\) 26.5746 15.3429i 1.13833 0.657216i
\(546\) −0.594788 + 0.0447060i −0.0254546 + 0.00191324i
\(547\) 5.82566 + 21.7416i 0.249087 + 0.929606i 0.971285 + 0.237919i \(0.0764653\pi\)
−0.722198 + 0.691686i \(0.756868\pi\)
\(548\) −13.6088 1.04214i −0.581340 0.0445178i
\(549\) −13.8094 0.488049i −0.589373 0.0208294i
\(550\) 0.400406 0.370916i 0.0170734 0.0158159i
\(551\) 4.67438 + 2.69876i 0.199135 + 0.114971i
\(552\) −37.2567 + 9.92675i −1.58575 + 0.422511i
\(553\) 0.384019 0.221713i 0.0163301 0.00942821i
\(554\) 10.3774 33.5455i 0.440892 1.42521i
\(555\) −31.9453 + 12.5758i −1.35600 + 0.533814i
\(556\) −21.0483 + 3.94705i −0.892645 + 0.167392i
\(557\) 25.5918 25.5918i 1.08436 1.08436i 0.0882628 0.996097i \(-0.471868\pi\)
0.996097 0.0882628i \(-0.0281315\pi\)
\(558\) −22.7305 7.92164i −0.962257 0.335350i
\(559\) 21.4755i 0.908315i
\(560\) −1.07052 + 0.117088i −0.0452378 + 0.00494788i
\(561\) −0.594397 5.22672i −0.0250955 0.220672i
\(562\) −9.23439 + 4.87090i −0.389529 + 0.205466i
\(563\) 3.04735 11.3728i 0.128430 0.479308i −0.871508 0.490381i \(-0.836858\pi\)
0.999939 + 0.0110721i \(0.00352444\pi\)
\(564\) 9.15450 39.9993i 0.385474 1.68427i
\(565\) 11.5357 + 43.0520i 0.485313 + 1.81121i
\(566\) 6.44131 5.96690i 0.270748 0.250808i
\(567\) −1.03272 + 0.502617i −0.0433702 + 0.0211079i
\(568\) −10.6967 1.23170i −0.448822 0.0516810i
\(569\) −0.819418 + 1.41927i −0.0343518 + 0.0594990i −0.882690 0.469955i \(-0.844270\pi\)
0.848338 + 0.529454i \(0.177603\pi\)
\(570\) −28.5594 5.39716i −1.19622 0.226062i
\(571\) 8.76233 32.7015i 0.366692 1.36851i −0.498420 0.866936i \(-0.666086\pi\)
0.865112 0.501578i \(-0.167247\pi\)
\(572\) −1.15950 2.41779i −0.0484810 0.101093i
\(573\) 7.01737 + 5.58427i 0.293155 + 0.233286i
\(574\) 1.40920 + 0.887064i 0.0588191 + 0.0370253i
\(575\) 4.32299 0.180281
\(576\) 20.7508 + 12.0584i 0.864615 + 0.502435i
\(577\) −16.0429 −0.667873 −0.333936 0.942596i \(-0.608377\pi\)
−0.333936 + 0.942596i \(0.608377\pi\)
\(578\) −2.01481 1.26828i −0.0838049 0.0527533i
\(579\) −42.6036 + 16.7717i −1.77055 + 0.697007i
\(580\) −1.75090 3.65099i −0.0727023 0.151599i
\(581\) 0.0503166 0.187784i 0.00208749 0.00779060i
\(582\) 5.37194 + 15.3412i 0.222674 + 0.635913i
\(583\) −0.00128692 + 0.00222901i −5.32988e−5 + 9.23163e-5i
\(584\) −5.27339 0.607220i −0.218214 0.0251269i
\(585\) 8.23249 + 8.83571i 0.340372 + 0.365312i
\(586\) 25.7928 23.8931i 1.06549 0.987016i
\(587\) 9.90974 + 36.9837i 0.409019 + 1.52648i 0.796521 + 0.604611i \(0.206671\pi\)
−0.387502 + 0.921869i \(0.626662\pi\)
\(588\) −17.7245 16.4654i −0.730944 0.679023i
\(589\) −8.25918 + 30.8237i −0.340313 + 1.27007i
\(590\) −11.1899 + 5.90241i −0.460683 + 0.242998i
\(591\) 10.1353 7.49641i 0.416910 0.308361i
\(592\) −4.08613 37.3590i −0.167939 1.53544i
\(593\) 32.2597i 1.32475i 0.749173 + 0.662374i \(0.230451\pi\)
−0.749173 + 0.662374i \(0.769549\pi\)
\(594\) −3.79302 3.50324i −0.155629 0.143740i
\(595\) 0.822870 0.822870i 0.0337344 0.0337344i
\(596\) −0.415230 + 0.0778654i −0.0170085 + 0.00318949i
\(597\) 0.352351 2.35425i 0.0144207 0.0963529i
\(598\) 6.27655 20.2894i 0.256667 0.829694i
\(599\) 11.7417 6.77905i 0.479751 0.276984i −0.240562 0.970634i \(-0.577332\pi\)
0.720313 + 0.693649i \(0.243998\pi\)
\(600\) −1.90008 1.90543i −0.0775703 0.0777889i
\(601\) 0.496416 + 0.286606i 0.0202492 + 0.0116909i 0.510090 0.860121i \(-0.329612\pi\)
−0.489841 + 0.871812i \(0.662945\pi\)
\(602\) 1.49010 1.38035i 0.0607319 0.0562590i
\(603\) −5.29553 3.31211i −0.215651 0.134880i
\(604\) 4.57850 + 0.350612i 0.186297 + 0.0142662i
\(605\) −5.73669 21.4096i −0.233230 0.870425i
\(606\) −13.2987 + 27.6307i −0.540222 + 1.12242i
\(607\) −29.1103 + 16.8068i −1.18155 + 0.682168i −0.956373 0.292149i \(-0.905630\pi\)
−0.225178 + 0.974318i \(0.572296\pi\)
\(608\) 13.9213 28.6092i 0.564583 1.16026i
\(609\) −0.0846230 + 0.194508i −0.00342910 + 0.00788185i
\(610\) 7.32077 11.6299i 0.296409 0.470881i
\(611\) 15.9823 + 15.9823i 0.646576 + 0.646576i
\(612\) −25.6432 + 3.87674i −1.03657 + 0.156708i
\(613\) 26.5621 26.5621i 1.07283 1.07283i 0.0757042 0.997130i \(-0.475880\pi\)
0.997130 0.0757042i \(-0.0241205\pi\)
\(614\) −33.8894 + 7.70601i −1.36767 + 0.310989i
\(615\) −3.80951 33.4983i −0.153614 1.35078i
\(616\) −0.0932332 + 0.235858i −0.00375647 + 0.00950300i
\(617\) −11.8730 20.5647i −0.477991 0.827904i 0.521691 0.853134i \(-0.325301\pi\)
−0.999682 + 0.0252305i \(0.991968\pi\)
\(618\) 20.3069 + 3.83760i 0.816863 + 0.154371i
\(619\) −17.1798 + 4.60330i −0.690513 + 0.185022i −0.586977 0.809603i \(-0.699682\pi\)
−0.103535 + 0.994626i \(0.533016\pi\)
\(620\) 18.1706 15.5856i 0.729748 0.625933i
\(621\) −3.18290 40.7713i −0.127725 1.63610i
\(622\) −19.4897 0.745149i −0.781466 0.0298778i
\(623\) −0.676151 + 1.17113i −0.0270894 + 0.0469202i
\(624\) −11.7016 + 6.15126i −0.468439 + 0.246248i
\(625\) −10.9760 19.0109i −0.439038 0.760436i
\(626\) −13.4369 25.4741i −0.537048 1.01815i
\(627\) −4.26219 + 5.35600i −0.170216 + 0.213898i
\(628\) 32.9988 6.18806i 1.31680 0.246930i
\(629\) 28.7164 + 28.7164i 1.14500 + 1.14500i
\(630\) 0.0839255 1.13914i 0.00334367 0.0453846i
\(631\) 16.0572 0.639228 0.319614 0.947548i \(-0.396447\pi\)
0.319614 + 0.947548i \(0.396447\pi\)
\(632\) 5.85535 7.89328i 0.232913 0.313978i
\(633\) −7.96776 + 18.3141i −0.316690 + 0.727919i
\(634\) −8.78950 + 28.4127i −0.349076 + 1.12841i
\(635\) −26.7172 7.15884i −1.06024 0.284090i
\(636\) 0.0112154 + 0.00593602i 0.000444720 + 0.000235378i
\(637\) 12.8717 3.44897i 0.509997 0.136653i
\(638\) −0.952893 0.0364320i −0.0377254 0.00144235i
\(639\) 3.34362 10.9201i 0.132272 0.431991i
\(640\) −20.7382 + 11.8161i −0.819749 + 0.467071i
\(641\) 35.3930 + 20.4342i 1.39794 + 0.807102i 0.994177 0.107761i \(-0.0343683\pi\)
0.403764 + 0.914863i \(0.367702\pi\)
\(642\) −1.88257 25.0466i −0.0742992 0.988509i
\(643\) 33.2700 + 8.91467i 1.31204 + 0.351560i 0.845991 0.533198i \(-0.179010\pi\)
0.466050 + 0.884758i \(0.345677\pi\)
\(644\) −1.81123 + 0.868612i −0.0713726 + 0.0342281i
\(645\) −40.6725 6.08728i −1.60148 0.239686i
\(646\) 7.62324 + 33.5254i 0.299932 + 1.31904i
\(647\) 28.1696i 1.10746i 0.832696 + 0.553730i \(0.186796\pi\)
−0.832696 + 0.553730i \(0.813204\pi\)
\(648\) −16.5717 + 19.3231i −0.650996 + 0.759081i
\(649\) 2.97943i 0.116953i
\(650\) 1.44533 0.328649i 0.0566906 0.0128907i
\(651\) −1.24027 0.185626i −0.0486099 0.00727525i
\(652\) 1.30847 + 0.460248i 0.0512438 + 0.0180247i
\(653\) 8.11558 + 2.17456i 0.317587 + 0.0850972i 0.414091 0.910235i \(-0.364099\pi\)
−0.0965042 + 0.995333i \(0.530766\pi\)
\(654\) −35.5282 + 2.67040i −1.38926 + 0.104421i
\(655\) −8.98247 5.18603i −0.350974 0.202635i
\(656\) 36.4757 + 5.61941i 1.42414 + 0.219401i
\(657\) 1.64838 5.38352i 0.0643096 0.210031i
\(658\) 0.0816744 2.13623i 0.00318400 0.0832789i
\(659\) −24.7356 + 6.62788i −0.963562 + 0.258186i −0.706107 0.708105i \(-0.749550\pi\)
−0.257455 + 0.966290i \(0.582884\pi\)
\(660\) 4.90772 1.51065i 0.191033 0.0588018i
\(661\) 20.3200 + 5.44473i 0.790357 + 0.211775i 0.631346 0.775501i \(-0.282503\pi\)
0.159011 + 0.987277i \(0.449170\pi\)
\(662\) 23.8659 + 7.38296i 0.927576 + 0.286947i
\(663\) 5.69910 13.0995i 0.221335 0.508742i
\(664\) −0.631783 4.26224i −0.0245179 0.165407i
\(665\) −1.51424 −0.0587198
\(666\) 39.7537 + 2.92882i 1.54043 + 0.113490i
\(667\) −5.34063 5.34063i −0.206790 0.206790i
\(668\) 17.8053 + 12.1820i 0.688909 + 0.471336i
\(669\) −22.3939 + 28.1408i −0.865798 + 1.08799i
\(670\) 5.49424 2.89807i 0.212261 0.111962i
\(671\) −1.61818 2.80277i −0.0624691 0.108200i
\(672\) 1.17894 + 0.416552i 0.0454787 + 0.0160688i
\(673\) −12.5221 + 21.6890i −0.482693 + 0.836048i −0.999803 0.0198709i \(-0.993674\pi\)
0.517110 + 0.855919i \(0.327008\pi\)
\(674\) 0.521432 13.6383i 0.0200848 0.525327i
\(675\) 2.35318 1.61511i 0.0905741 0.0621658i
\(676\) −1.42921 + 18.6635i −0.0549696 + 0.717825i
\(677\) −18.3334 + 4.91241i −0.704608 + 0.188799i −0.593294 0.804986i \(-0.702173\pi\)
−0.111314 + 0.993785i \(0.535506\pi\)
\(678\) 9.60963 50.8499i 0.369056 1.95288i
\(679\) 0.423420 + 0.733386i 0.0162494 + 0.0281448i
\(680\) 9.48159 23.9862i 0.363602 0.919829i
\(681\) 1.55083 + 13.6370i 0.0594281 + 0.522570i
\(682\) −1.25005 5.49745i −0.0478668 0.210508i
\(683\) −3.70253 + 3.70253i −0.141673 + 0.141673i −0.774386 0.632713i \(-0.781941\pi\)
0.632713 + 0.774386i \(0.281941\pi\)
\(684\) 27.1613 + 20.0273i 1.03854 + 0.765763i
\(685\) 10.1803 + 10.1803i 0.388969 + 0.388969i
\(686\) −2.13580 1.34444i −0.0815450 0.0513308i
\(687\) −0.320978 + 0.737774i −0.0122461 + 0.0281478i
\(688\) 18.1370 41.2038i 0.691468 1.57088i
\(689\) −0.00605326 + 0.00349485i −0.000230611 + 0.000133143i
\(690\) 36.6471 + 17.6383i 1.39513 + 0.671477i
\(691\) −2.19392 8.18783i −0.0834607 0.311480i 0.911558 0.411173i \(-0.134881\pi\)
−0.995018 + 0.0996929i \(0.968214\pi\)
\(692\) −7.25455 + 6.22251i −0.275777 + 0.236544i
\(693\) −0.228066 0.142645i −0.00866352 0.00541863i
\(694\) 18.3110 + 19.7669i 0.695078 + 0.750340i
\(695\) 19.5631 + 11.2947i 0.742070 + 0.428434i
\(696\) −0.00661434 + 4.70133i −0.000250716 + 0.178204i
\(697\) −34.5379 + 19.9405i −1.30822 + 0.755299i
\(698\) −24.4416 7.56103i −0.925127 0.286189i
\(699\) 2.34258 15.6521i 0.0886045 0.592015i
\(700\) −0.115704 0.0791618i −0.00437319 0.00299204i
\(701\) −16.2977 + 16.2977i −0.615557 + 0.615557i −0.944389 0.328831i \(-0.893345\pi\)
0.328831 + 0.944389i \(0.393345\pi\)
\(702\) −4.16374 13.3893i −0.157150 0.505348i
\(703\) 52.8439i 1.99304i
\(704\) 0.182727 + 5.61812i 0.00688680 + 0.211741i
\(705\) −34.7992 + 25.7388i −1.31062 + 0.969378i
\(706\) 4.30906 + 8.16923i 0.162173 + 0.307453i
\(707\) −0.413484 + 1.54314i −0.0155507 + 0.0580359i
\(708\) 14.6791 0.540543i 0.551673 0.0203149i
\(709\) 4.99557 + 18.6437i 0.187613 + 0.700180i 0.994056 + 0.108869i \(0.0347229\pi\)
−0.806443 + 0.591311i \(0.798610\pi\)
\(710\) 7.71848 + 8.33214i 0.289669 + 0.312700i
\(711\) 7.10604 + 7.62672i 0.266497 + 0.286024i
\(712\) −3.42856 + 29.7753i −0.128491 + 1.11588i
\(713\) 22.3267 38.6710i 0.836142 1.44824i
\(714\) −1.27524 + 0.446543i −0.0477246 + 0.0167114i
\(715\) −0.732065 + 2.73210i −0.0273777 + 0.102175i
\(716\) 3.31186 9.41552i 0.123770 0.351875i
\(717\) −11.7917 + 4.64202i −0.440370 + 0.173359i
\(718\) 17.1827 27.2968i 0.641254 1.01871i
\(719\) 24.2401 0.904003 0.452002 0.892017i \(-0.350710\pi\)
0.452002 + 0.892017i \(0.350710\pi\)
\(720\) −8.33305 23.9053i −0.310555 0.890899i
\(721\) 1.07669 0.0400980
\(722\) 9.51830 15.1209i 0.354234 0.562743i
\(723\) −3.38438 2.69322i −0.125866 0.100162i
\(724\) 19.6074 + 6.89679i 0.728703 + 0.256317i
\(725\) 0.136428 0.509157i 0.00506682 0.0189096i
\(726\) −4.77884 + 25.2875i −0.177359 + 0.938507i
\(727\) −8.10074 + 14.0309i −0.300440 + 0.520377i −0.976236 0.216712i \(-0.930467\pi\)
0.675796 + 0.737089i \(0.263800\pi\)
\(728\) −0.539526 + 0.428105i −0.0199962 + 0.0158666i
\(729\) −16.9652 21.0044i −0.628340 0.777939i
\(730\) 3.80516 + 4.10769i 0.140835 + 0.152032i
\(731\) 12.5910 + 46.9902i 0.465694 + 1.73800i
\(732\) −13.5151 + 8.48096i −0.499534 + 0.313465i
\(733\) −2.15479 + 8.04180i −0.0795891 + 0.297031i −0.994235 0.107226i \(-0.965803\pi\)
0.914646 + 0.404257i \(0.132470\pi\)
\(734\) 15.8242 + 29.9999i 0.584081 + 1.10732i
\(735\) 2.88349 + 25.3555i 0.106359 + 0.935251i
\(736\) −29.1778 + 33.6273i −1.07551 + 1.23952i
\(737\) 1.46289i 0.0538863i
\(738\) −12.8822 + 36.9643i −0.474199 + 1.36067i
\(739\) 22.8405 22.8405i 0.840203 0.840203i −0.148682 0.988885i \(-0.547503\pi\)
0.988885 + 0.148682i \(0.0475030\pi\)
\(740\) −22.3848 + 32.7178i −0.822882 + 1.20273i
\(741\) −17.2966 + 6.80909i −0.635405 + 0.250138i
\(742\) 0.000631573 0 0.000195378i 2.31858e−5 0 7.17255e-6i
\(743\) −7.19608 + 4.15466i −0.263999 + 0.152420i −0.626157 0.779697i \(-0.715373\pi\)
0.362159 + 0.932116i \(0.382040\pi\)
\(744\) −26.8581 + 7.15612i −0.984666 + 0.262356i
\(745\) 0.385931 + 0.222817i 0.0141394 + 0.00816339i
\(746\) −23.0544 24.8874i −0.844083 0.911192i
\(747\) 4.56734 + 0.161417i 0.167110 + 0.00590595i
\(748\) −3.95462 4.61052i −0.144595 0.168577i
\(749\) −0.338684 1.26399i −0.0123752 0.0461850i
\(750\) 2.14935 + 28.5959i 0.0784832 + 1.04418i
\(751\) −28.0215 + 16.1782i −1.02252 + 0.590352i −0.914833 0.403833i \(-0.867678\pi\)
−0.107687 + 0.994185i \(0.534344\pi\)
\(752\) −17.1666 44.1622i −0.626001 1.61043i
\(753\) 4.04390 + 5.46742i 0.147368 + 0.199244i
\(754\) −2.19158 1.37955i −0.0798127 0.0502404i
\(755\) −3.42502 3.42502i −0.124649 0.124649i
\(756\) −0.661407 + 1.14952i −0.0240551 + 0.0418076i
\(757\) 3.76265 3.76265i 0.136756 0.136756i −0.635415 0.772171i \(-0.719171\pi\)
0.772171 + 0.635415i \(0.219171\pi\)
\(758\) 4.41961 + 19.4365i 0.160527 + 0.705967i
\(759\) 7.70069 5.69570i 0.279517 0.206741i
\(760\) −30.7937 + 13.3457i −1.11700 + 0.484098i
\(761\) −13.1168 22.7190i −0.475485 0.823564i 0.524121 0.851644i \(-0.324394\pi\)
−0.999606 + 0.0280801i \(0.991061\pi\)
\(762\) 24.3469 + 20.9428i 0.881993 + 0.758676i
\(763\) −1.79295 + 0.480419i −0.0649090 + 0.0173923i
\(764\) 10.3253 + 0.790689i 0.373556 + 0.0286061i
\(765\) 23.1938 + 14.5066i 0.838572 + 0.524489i
\(766\) 0.249371 6.52239i 0.00901012 0.235664i
\(767\) −4.04557 + 7.00713i −0.146077 + 0.253013i
\(768\) 27.6463 1.91953i 0.997598 0.0692651i
\(769\) −9.31591 16.1356i −0.335940 0.581865i 0.647725 0.761874i \(-0.275721\pi\)
−0.983665 + 0.180009i \(0.942387\pi\)
\(770\) 0.236624 0.124813i 0.00852734 0.00449795i
\(771\) −7.04741 17.9019i −0.253806 0.644722i
\(772\) −29.8534 + 43.6340i −1.07445 + 1.57042i
\(773\)