Properties

Label 588.2.x.a.223.15
Level $588$
Weight $2$
Character 588.223
Analytic conductor $4.695$
Analytic rank $0$
Dimension $168$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.x (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(28\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 223.15
Character \(\chi\) \(=\) 588.223
Dual form 588.2.x.a.559.15

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0367177 - 1.41374i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(-1.99730 - 0.103818i) q^{4} +(-3.11236 - 0.710376i) q^{5} +(1.37012 + 0.350383i) q^{6} +(2.64273 + 0.126372i) q^{7} +(-0.220108 + 2.81985i) q^{8} +(-0.900969 - 0.433884i) q^{9} +O(q^{10})\) \(q+(0.0367177 - 1.41374i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(-1.99730 - 0.103818i) q^{4} +(-3.11236 - 0.710376i) q^{5} +(1.37012 + 0.350383i) q^{6} +(2.64273 + 0.126372i) q^{7} +(-0.220108 + 2.81985i) q^{8} +(-0.900969 - 0.433884i) q^{9} +(-1.11856 + 4.37397i) q^{10} +(2.20620 + 4.58122i) q^{11} +(0.545657 - 1.92413i) q^{12} +(-1.35197 - 2.80740i) q^{13} +(0.275692 - 3.73149i) q^{14} +(1.38513 - 2.87625i) q^{15} +(3.97844 + 0.414714i) q^{16} +(4.52629 - 3.60960i) q^{17} +(-0.646479 + 1.25780i) q^{18} +5.88397 q^{19} +(6.14258 + 1.74196i) q^{20} +(-0.711267 + 2.54835i) q^{21} +(6.55765 - 2.95078i) q^{22} +(-5.32327 - 4.24517i) q^{23} +(-2.70017 - 0.842065i) q^{24} +(4.67730 + 2.25247i) q^{25} +(-4.01857 + 1.80825i) q^{26} +(0.623490 - 0.781831i) q^{27} +(-5.26522 - 0.526767i) q^{28} +(2.36833 + 2.96979i) q^{29} +(-4.01541 - 2.06382i) q^{30} +5.86185 q^{31} +(0.732375 - 5.60924i) q^{32} +(-4.95729 + 1.13147i) q^{33} +(-4.93682 - 6.53152i) q^{34} +(-8.13536 - 2.27065i) q^{35} +(1.75446 + 0.960135i) q^{36} +(-0.909630 - 1.14064i) q^{37} +(0.216046 - 8.31838i) q^{38} +(3.03786 - 0.693371i) q^{39} +(2.68821 - 8.62003i) q^{40} +(2.89189 + 0.660056i) q^{41} +(3.57658 + 1.09911i) q^{42} +(9.85966 - 2.25040i) q^{43} +(-3.93084 - 9.37914i) q^{44} +(2.49592 + 1.99043i) q^{45} +(-6.19701 + 7.36983i) q^{46} +(3.73836 - 1.80030i) q^{47} +(-1.28960 + 3.78641i) q^{48} +(6.96806 + 0.667934i) q^{49} +(3.35614 - 6.52977i) q^{50} +(2.51190 + 5.21602i) q^{51} +(2.40884 + 5.74759i) q^{52} +(-6.48315 + 8.12961i) q^{53} +(-1.08241 - 0.910158i) q^{54} +(-3.61210 - 15.8256i) q^{55} +(-0.938037 + 7.42429i) q^{56} +(-1.30931 + 5.73645i) q^{57} +(4.28547 - 3.23915i) q^{58} +(1.87989 + 8.23632i) q^{59} +(-3.06513 + 5.60095i) q^{60} +(3.00738 - 2.39831i) q^{61} +(0.215234 - 8.28711i) q^{62} +(-2.32619 - 1.26050i) q^{63} +(-7.90310 - 1.24134i) q^{64} +(2.21352 + 9.69805i) q^{65} +(1.41758 + 7.04985i) q^{66} +4.00603i q^{67} +(-9.41512 + 6.73955i) q^{68} +(5.32327 - 4.24517i) q^{69} +(-3.50881 + 11.4179i) q^{70} +(-4.57684 - 3.64991i) q^{71} +(1.42180 - 2.44510i) q^{72} +(3.05578 - 6.34538i) q^{73} +(-1.64596 + 1.24410i) q^{74} +(-3.23679 + 4.05881i) q^{75} +(-11.7521 - 0.610864i) q^{76} +(5.25146 + 12.3857i) q^{77} +(-0.868701 - 4.32019i) q^{78} +13.3370i q^{79} +(-12.0877 - 4.11693i) q^{80} +(0.623490 + 0.781831i) q^{81} +(1.03933 - 4.06414i) q^{82} +(-2.31226 - 1.11353i) q^{83} +(1.68518 - 5.01599i) q^{84} +(-16.6516 + 8.01899i) q^{85} +(-2.81945 - 14.0216i) q^{86} +(-3.42234 + 1.64811i) q^{87} +(-13.4040 + 5.21279i) q^{88} +(3.82052 - 7.93339i) q^{89} +(2.90559 - 3.45549i) q^{90} +(-3.21812 - 7.59006i) q^{91} +(10.1915 + 9.03154i) q^{92} +(-1.30438 + 5.71488i) q^{93} +(-2.40788 - 5.35116i) q^{94} +(-18.3130 - 4.17983i) q^{95} +(5.30564 + 1.96219i) q^{96} -1.22175i q^{97} +(1.20013 - 9.82648i) q^{98} -5.08477i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + O(q^{10}) \) \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{1}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0367177 1.41374i 0.0259633 0.999663i
\(3\) −0.222521 + 0.974928i −0.128473 + 0.562875i
\(4\) −1.99730 0.103818i −0.998652 0.0519092i
\(5\) −3.11236 0.710376i −1.39189 0.317690i −0.540112 0.841593i \(-0.681618\pi\)
−0.851778 + 0.523904i \(0.824475\pi\)
\(6\) 1.37012 + 0.350383i 0.559350 + 0.143043i
\(7\) 2.64273 + 0.126372i 0.998859 + 0.0477641i
\(8\) −0.220108 + 2.81985i −0.0778200 + 0.996967i
\(9\) −0.900969 0.433884i −0.300323 0.144628i
\(10\) −1.11856 + 4.37397i −0.353721 + 1.38317i
\(11\) 2.20620 + 4.58122i 0.665195 + 1.38129i 0.911176 + 0.412016i \(0.135175\pi\)
−0.245982 + 0.969274i \(0.579110\pi\)
\(12\) 0.545657 1.92413i 0.157518 0.555447i
\(13\) −1.35197 2.80740i −0.374970 0.778633i 0.625028 0.780602i \(-0.285087\pi\)
−0.999998 + 0.00196925i \(0.999373\pi\)
\(14\) 0.275692 3.73149i 0.0736817 0.997282i
\(15\) 1.38513 2.87625i 0.357639 0.742645i
\(16\) 3.97844 + 0.414714i 0.994611 + 0.103678i
\(17\) 4.52629 3.60960i 1.09779 0.875456i 0.104896 0.994483i \(-0.466549\pi\)
0.992891 + 0.119027i \(0.0379776\pi\)
\(18\) −0.646479 + 1.25780i −0.152377 + 0.296467i
\(19\) 5.88397 1.34988 0.674938 0.737875i \(-0.264171\pi\)
0.674938 + 0.737875i \(0.264171\pi\)
\(20\) 6.14258 + 1.74196i 1.37352 + 0.389513i
\(21\) −0.711267 + 2.54835i −0.155211 + 0.556096i
\(22\) 6.55765 2.95078i 1.39810 0.629107i
\(23\) −5.32327 4.24517i −1.10998 0.885179i −0.115838 0.993268i \(-0.536955\pi\)
−0.994141 + 0.108089i \(0.965527\pi\)
\(24\) −2.70017 0.842065i −0.551170 0.171886i
\(25\) 4.67730 + 2.25247i 0.935461 + 0.450494i
\(26\) −4.01857 + 1.80825i −0.788106 + 0.354628i
\(27\) 0.623490 0.781831i 0.119991 0.150464i
\(28\) −5.26522 0.526767i −0.995033 0.0995497i
\(29\) 2.36833 + 2.96979i 0.439788 + 0.551477i 0.951487 0.307688i \(-0.0995552\pi\)
−0.511699 + 0.859165i \(0.670984\pi\)
\(30\) −4.01541 2.06382i −0.733109 0.376800i
\(31\) 5.86185 1.05282 0.526410 0.850231i \(-0.323538\pi\)
0.526410 + 0.850231i \(0.323538\pi\)
\(32\) 0.732375 5.60924i 0.129467 0.991584i
\(33\) −4.95729 + 1.13147i −0.862953 + 0.196963i
\(34\) −4.93682 6.53152i −0.846658 1.12015i
\(35\) −8.13536 2.27065i −1.37513 0.383809i
\(36\) 1.75446 + 0.960135i 0.292411 + 0.160022i
\(37\) −0.909630 1.14064i −0.149542 0.187520i 0.701418 0.712750i \(-0.252551\pi\)
−0.850960 + 0.525230i \(0.823979\pi\)
\(38\) 0.216046 8.31838i 0.0350473 1.34942i
\(39\) 3.03786 0.693371i 0.486446 0.111028i
\(40\) 2.68821 8.62003i 0.425043 1.36295i
\(41\) 2.89189 + 0.660056i 0.451638 + 0.103083i 0.442288 0.896873i \(-0.354167\pi\)
0.00934945 + 0.999956i \(0.497024\pi\)
\(42\) 3.57658 + 1.09911i 0.551879 + 0.169597i
\(43\) 9.85966 2.25040i 1.50358 0.343183i 0.610117 0.792312i \(-0.291123\pi\)
0.893467 + 0.449128i \(0.148265\pi\)
\(44\) −3.93084 9.37914i −0.592596 1.41396i
\(45\) 2.49592 + 1.99043i 0.372070 + 0.296716i
\(46\) −6.19701 + 7.36983i −0.913699 + 1.08662i
\(47\) 3.73836 1.80030i 0.545295 0.262600i −0.140892 0.990025i \(-0.544997\pi\)
0.686188 + 0.727425i \(0.259283\pi\)
\(48\) −1.28960 + 3.78641i −0.186138 + 0.546522i
\(49\) 6.96806 + 0.667934i 0.995437 + 0.0954192i
\(50\) 3.35614 6.52977i 0.474630 0.923449i
\(51\) 2.51190 + 5.21602i 0.351737 + 0.730389i
\(52\) 2.40884 + 5.74759i 0.334046 + 0.797048i
\(53\) −6.48315 + 8.12961i −0.890529 + 1.11669i 0.102013 + 0.994783i \(0.467472\pi\)
−0.992542 + 0.121904i \(0.961100\pi\)
\(54\) −1.08241 0.910158i −0.147297 0.123857i
\(55\) −3.61210 15.8256i −0.487055 2.13393i
\(56\) −0.938037 + 7.42429i −0.125350 + 0.992113i
\(57\) −1.30931 + 5.73645i −0.173422 + 0.759811i
\(58\) 4.28547 3.23915i 0.562709 0.425322i
\(59\) 1.87989 + 8.23632i 0.244740 + 1.07228i 0.936643 + 0.350286i \(0.113916\pi\)
−0.691902 + 0.721991i \(0.743227\pi\)
\(60\) −3.06513 + 5.60095i −0.395707 + 0.723079i
\(61\) 3.00738 2.39831i 0.385056 0.307072i −0.411762 0.911292i \(-0.635086\pi\)
0.796818 + 0.604219i \(0.206515\pi\)
\(62\) 0.215234 8.28711i 0.0273347 1.05246i
\(63\) −2.32619 1.26050i −0.293072 0.158808i
\(64\) −7.90310 1.24134i −0.987888 0.155168i
\(65\) 2.21352 + 9.69805i 0.274553 + 1.20290i
\(66\) 1.41758 + 7.04985i 0.174492 + 0.867776i
\(67\) 4.00603i 0.489415i 0.969597 + 0.244707i \(0.0786919\pi\)
−0.969597 + 0.244707i \(0.921308\pi\)
\(68\) −9.41512 + 6.73955i −1.14175 + 0.817290i
\(69\) 5.32327 4.24517i 0.640847 0.511058i
\(70\) −3.50881 + 11.4179i −0.419383 + 1.36470i
\(71\) −4.57684 3.64991i −0.543171 0.433165i 0.313078 0.949727i \(-0.398640\pi\)
−0.856249 + 0.516563i \(0.827211\pi\)
\(72\) 1.42180 2.44510i 0.167560 0.288157i
\(73\) 3.05578 6.34538i 0.357652 0.742671i −0.642061 0.766654i \(-0.721920\pi\)
0.999712 + 0.0239826i \(0.00763464\pi\)
\(74\) −1.64596 + 1.24410i −0.191339 + 0.144623i
\(75\) −3.23679 + 4.05881i −0.373753 + 0.468671i
\(76\) −11.7521 0.610864i −1.34806 0.0700709i
\(77\) 5.25146 + 12.3857i 0.598459 + 1.41149i
\(78\) −0.868701 4.32019i −0.0983610 0.489165i
\(79\) 13.3370i 1.50053i 0.661138 + 0.750265i \(0.270074\pi\)
−0.661138 + 0.750265i \(0.729926\pi\)
\(80\) −12.0877 4.11693i −1.35145 0.460287i
\(81\) 0.623490 + 0.781831i 0.0692766 + 0.0868702i
\(82\) 1.03933 4.06414i 0.114775 0.448809i
\(83\) −2.31226 1.11353i −0.253804 0.122226i 0.302656 0.953100i \(-0.402127\pi\)
−0.556460 + 0.830874i \(0.687841\pi\)
\(84\) 1.68518 5.01599i 0.183868 0.547289i
\(85\) −16.6516 + 8.01899i −1.80612 + 0.869782i
\(86\) −2.81945 14.0216i −0.304029 1.51199i
\(87\) −3.42234 + 1.64811i −0.366913 + 0.176696i
\(88\) −13.4040 + 5.21279i −1.42887 + 0.555685i
\(89\) 3.82052 7.93339i 0.404974 0.840938i −0.594351 0.804206i \(-0.702591\pi\)
0.999325 0.0367320i \(-0.0116948\pi\)
\(90\) 2.90559 3.45549i 0.306276 0.364240i
\(91\) −3.21812 7.59006i −0.337351 0.795654i
\(92\) 10.1915 + 9.03154i 1.06253 + 0.941603i
\(93\) −1.30438 + 5.71488i −0.135258 + 0.592605i
\(94\) −2.40788 5.35116i −0.248354 0.551930i
\(95\) −18.3130 4.17983i −1.87888 0.428841i
\(96\) 5.30564 + 1.96219i 0.541505 + 0.200265i
\(97\) 1.22175i 0.124049i −0.998075 0.0620247i \(-0.980244\pi\)
0.998075 0.0620247i \(-0.0197558\pi\)
\(98\) 1.20013 9.82648i 0.121232 0.992624i
\(99\) 5.08477i 0.511039i
\(100\) −9.10815 4.98446i −0.910815 0.498446i
\(101\) −1.56999 0.358339i −0.156220 0.0356561i 0.143696 0.989622i \(-0.454101\pi\)
−0.299915 + 0.953966i \(0.596958\pi\)
\(102\) 7.46631 3.35965i 0.739275 0.332655i
\(103\) −0.761170 + 3.33491i −0.0750004 + 0.328598i −0.998484 0.0550393i \(-0.982472\pi\)
0.923484 + 0.383637i \(0.125329\pi\)
\(104\) 8.21403 3.19443i 0.805452 0.313239i
\(105\) 4.02401 7.42612i 0.392703 0.724715i
\(106\) 11.2551 + 9.46396i 1.09319 + 0.919221i
\(107\) −2.45838 + 5.10487i −0.237660 + 0.493506i −0.985351 0.170541i \(-0.945448\pi\)
0.747690 + 0.664048i \(0.231163\pi\)
\(108\) −1.32647 + 1.49683i −0.127639 + 0.144032i
\(109\) −0.154836 + 0.0745651i −0.0148306 + 0.00714204i −0.441284 0.897367i \(-0.645477\pi\)
0.426454 + 0.904509i \(0.359763\pi\)
\(110\) −22.5059 + 4.52548i −2.14586 + 0.431487i
\(111\) 1.31445 0.633007i 0.124762 0.0600824i
\(112\) 10.4616 + 1.59874i 0.988524 + 0.151067i
\(113\) −6.55355 3.15603i −0.616506 0.296894i 0.0994459 0.995043i \(-0.468293\pi\)
−0.715952 + 0.698149i \(0.754007\pi\)
\(114\) 8.06175 + 2.06164i 0.755052 + 0.193091i
\(115\) 13.5523 + 16.9940i 1.26376 + 1.58470i
\(116\) −4.42196 6.17746i −0.410568 0.573562i
\(117\) 3.11598i 0.288072i
\(118\) 11.7130 2.35524i 1.07827 0.216818i
\(119\) 12.4179 8.96720i 1.13835 0.822022i
\(120\) 7.80572 + 4.53895i 0.712562 + 0.414347i
\(121\) −9.26190 + 11.6141i −0.841991 + 1.05582i
\(122\) −3.28015 4.33971i −0.296971 0.392899i
\(123\) −1.28701 + 2.67251i −0.116046 + 0.240972i
\(124\) −11.7079 0.608568i −1.05140 0.0546510i
\(125\) −0.477757 0.380998i −0.0427319 0.0340775i
\(126\) −1.86742 + 3.24234i −0.166363 + 0.288850i
\(127\) −8.39428 + 6.69421i −0.744872 + 0.594016i −0.920638 0.390416i \(-0.872331\pi\)
0.175767 + 0.984432i \(0.443760\pi\)
\(128\) −2.04512 + 11.1273i −0.180765 + 0.983526i
\(129\) 10.1132i 0.890419i
\(130\) 13.7918 2.77324i 1.20962 0.243229i
\(131\) −0.00834039 0.0365417i −0.000728704 0.00319266i 0.974562 0.224117i \(-0.0719498\pi\)
−0.975291 + 0.220924i \(0.929093\pi\)
\(132\) 10.0187 1.74523i 0.872014 0.151903i
\(133\) 15.5498 + 0.743569i 1.34833 + 0.0644756i
\(134\) 5.66347 + 0.147092i 0.489250 + 0.0127068i
\(135\) −2.49592 + 1.99043i −0.214814 + 0.171309i
\(136\) 9.18225 + 13.5580i 0.787371 + 1.16259i
\(137\) −3.88033 17.0008i −0.331519 1.45248i −0.816190 0.577783i \(-0.803918\pi\)
0.484671 0.874696i \(-0.338939\pi\)
\(138\) −5.80609 7.68158i −0.494247 0.653899i
\(139\) 1.40744 6.16641i 0.119378 0.523028i −0.879510 0.475880i \(-0.842130\pi\)
0.998888 0.0471478i \(-0.0150132\pi\)
\(140\) 16.0130 + 5.37977i 1.35335 + 0.454674i
\(141\) 0.923298 + 4.04523i 0.0777557 + 0.340670i
\(142\) −5.32806 + 6.33644i −0.447121 + 0.531742i
\(143\) 9.87861 12.3874i 0.826091 1.03588i
\(144\) −3.40452 2.09983i −0.283710 0.174986i
\(145\) −5.26143 10.9255i −0.436938 0.907311i
\(146\) −8.85850 4.55305i −0.733135 0.376813i
\(147\) −2.20173 + 6.64473i −0.181595 + 0.548048i
\(148\) 1.69839 + 2.37264i 0.139607 + 0.195030i
\(149\) 17.6772 8.51289i 1.44817 0.697403i 0.465895 0.884840i \(-0.345732\pi\)
0.982277 + 0.187437i \(0.0600180\pi\)
\(150\) 5.61924 + 4.72501i 0.458809 + 0.385795i
\(151\) −7.20531 5.74604i −0.586359 0.467606i 0.284813 0.958583i \(-0.408068\pi\)
−0.871173 + 0.490977i \(0.836640\pi\)
\(152\) −1.29511 + 16.5919i −0.105047 + 1.34578i
\(153\) −5.64419 + 1.28825i −0.456306 + 0.104149i
\(154\) 17.7030 6.96940i 1.42655 0.561611i
\(155\) −18.2442 4.16412i −1.46541 0.334470i
\(156\) −6.13951 + 1.06949i −0.491554 + 0.0856275i
\(157\) −10.1419 + 2.31483i −0.809413 + 0.184743i −0.607149 0.794588i \(-0.707687\pi\)
−0.202264 + 0.979331i \(0.564830\pi\)
\(158\) 18.8550 + 0.489704i 1.50002 + 0.0389588i
\(159\) −6.48315 8.12961i −0.514147 0.644720i
\(160\) −6.26409 + 16.9377i −0.495220 + 1.33904i
\(161\) −13.5315 11.8916i −1.06643 0.937186i
\(162\) 1.12820 0.852743i 0.0886395 0.0669979i
\(163\) 7.20211 1.64383i 0.564112 0.128755i 0.0690513 0.997613i \(-0.478003\pi\)
0.495061 + 0.868858i \(0.335146\pi\)
\(164\) −5.70746 1.61856i −0.445678 0.126389i
\(165\) 16.2326 1.26371
\(166\) −1.65914 + 3.22805i −0.128774 + 0.250545i
\(167\) −1.79551 2.25149i −0.138940 0.174226i 0.707493 0.706720i \(-0.249826\pi\)
−0.846433 + 0.532495i \(0.821255\pi\)
\(168\) −7.02941 2.56658i −0.542331 0.198016i
\(169\) 2.05170 2.57275i 0.157823 0.197904i
\(170\) 10.7253 + 23.8354i 0.822596 + 1.82809i
\(171\) −5.30127 2.55296i −0.405399 0.195230i
\(172\) −19.9264 + 3.47112i −1.51937 + 0.264671i
\(173\) −13.9422 11.1185i −1.06001 0.845326i −0.0716412 0.997430i \(-0.522824\pi\)
−0.988364 + 0.152104i \(0.951395\pi\)
\(174\) 2.20433 + 4.89880i 0.167110 + 0.371377i
\(175\) 12.0762 + 6.54376i 0.912876 + 0.494661i
\(176\) 6.87735 + 19.1411i 0.518400 + 1.44281i
\(177\) −8.44813 −0.635000
\(178\) −11.0754 5.69251i −0.830140 0.426671i
\(179\) −13.4340 + 10.7133i −1.00410 + 0.800746i −0.980007 0.198963i \(-0.936243\pi\)
−0.0240973 + 0.999710i \(0.507671\pi\)
\(180\) −4.77846 4.23461i −0.356166 0.315629i
\(181\) −8.53734 + 17.7280i −0.634575 + 1.31771i 0.297249 + 0.954800i \(0.403931\pi\)
−0.931825 + 0.362909i \(0.881784\pi\)
\(182\) −10.8485 + 4.27089i −0.804145 + 0.316580i
\(183\) 1.66897 + 3.46566i 0.123374 + 0.256189i
\(184\) 13.1424 14.0764i 0.968873 1.03773i
\(185\) 2.02081 + 4.19626i 0.148573 + 0.308515i
\(186\) 8.03144 + 2.05389i 0.588894 + 0.150599i
\(187\) 26.5223 + 12.7725i 1.93950 + 0.934014i
\(188\) −7.65354 + 3.20763i −0.558192 + 0.233941i
\(189\) 1.74652 1.98738i 0.127040 0.144561i
\(190\) −6.58159 + 25.7363i −0.477479 + 1.86711i
\(191\) 25.4801 + 5.81567i 1.84368 + 0.420807i 0.994267 0.106927i \(-0.0341012\pi\)
0.849409 + 0.527734i \(0.176958\pi\)
\(192\) 2.96883 7.42873i 0.214257 0.536123i
\(193\) −3.19383 + 13.9931i −0.229897 + 1.00724i 0.719827 + 0.694154i \(0.244221\pi\)
−0.949723 + 0.313090i \(0.898636\pi\)
\(194\) −1.72723 0.0448597i −0.124008 0.00322074i
\(195\) −9.94745 −0.712352
\(196\) −13.8480 2.05748i −0.989142 0.146963i
\(197\) 21.0966 1.50307 0.751535 0.659693i \(-0.229314\pi\)
0.751535 + 0.659693i \(0.229314\pi\)
\(198\) −7.18853 0.186701i −0.510867 0.0132683i
\(199\) 4.49876 19.7104i 0.318909 1.39723i −0.520561 0.853824i \(-0.674277\pi\)
0.839470 0.543406i \(-0.182866\pi\)
\(200\) −7.38114 + 12.6935i −0.521926 + 0.897566i
\(201\) −3.90559 0.891426i −0.275479 0.0628763i
\(202\) −0.564244 + 2.20639i −0.0397001 + 0.155241i
\(203\) 5.88357 + 8.14766i 0.412945 + 0.571853i
\(204\) −4.47551 10.6788i −0.313349 0.747662i
\(205\) −8.53172 4.10866i −0.595881 0.286961i
\(206\) 4.68673 + 1.19854i 0.326540 + 0.0835066i
\(207\) 2.95419 + 6.13445i 0.205331 + 0.426373i
\(208\) −4.21448 11.7298i −0.292222 0.813313i
\(209\) 12.9812 + 26.9558i 0.897930 + 1.86457i
\(210\) −10.3508 5.96155i −0.714275 0.411386i
\(211\) 7.34164 15.2451i 0.505419 1.04951i −0.479666 0.877451i \(-0.659242\pi\)
0.985086 0.172063i \(-0.0550434\pi\)
\(212\) 13.7928 15.5642i 0.947294 1.06896i
\(213\) 4.57684 3.64991i 0.313600 0.250088i
\(214\) 7.12668 + 3.66294i 0.487170 + 0.250393i
\(215\) −32.2854 −2.20185
\(216\) 2.06741 + 1.93024i 0.140670 + 0.131336i
\(217\) 15.4913 + 0.740773i 1.05162 + 0.0502870i
\(218\) 0.0997302 + 0.221635i 0.00675458 + 0.0150110i
\(219\) 5.50632 + 4.39114i 0.372082 + 0.296726i
\(220\) 5.57147 + 31.9836i 0.375628 + 2.15634i
\(221\) −16.2530 7.82704i −1.09330 0.526503i
\(222\) −0.846642 1.88153i −0.0568229 0.126280i
\(223\) −2.40177 + 3.01172i −0.160834 + 0.201680i −0.855718 0.517442i \(-0.826884\pi\)
0.694884 + 0.719122i \(0.255456\pi\)
\(224\) 2.64432 14.7312i 0.176681 0.984268i
\(225\) −3.23679 4.05881i −0.215786 0.270587i
\(226\) −4.70242 + 9.14912i −0.312800 + 0.608590i
\(227\) 10.1006 0.670399 0.335200 0.942147i \(-0.391196\pi\)
0.335200 + 0.942147i \(0.391196\pi\)
\(228\) 3.21063 11.3215i 0.212629 0.749784i
\(229\) −15.9064 + 3.63054i −1.05113 + 0.239913i −0.712982 0.701182i \(-0.752656\pi\)
−0.338143 + 0.941095i \(0.609799\pi\)
\(230\) 24.5227 18.5354i 1.61698 1.22219i
\(231\) −13.2438 + 2.36371i −0.871376 + 0.155520i
\(232\) −8.89566 + 6.02466i −0.584029 + 0.395538i
\(233\) 10.9919 + 13.7834i 0.720101 + 0.902978i 0.998344 0.0575328i \(-0.0183234\pi\)
−0.278243 + 0.960511i \(0.589752\pi\)
\(234\) 4.40518 + 0.114412i 0.287975 + 0.00747932i
\(235\) −12.9140 + 2.94754i −0.842416 + 0.192276i
\(236\) −2.89962 16.6456i −0.188749 1.08354i
\(237\) −13.0026 2.96776i −0.844610 0.192777i
\(238\) −12.2213 17.8849i −0.792189 1.15931i
\(239\) 10.1502 2.31671i 0.656561 0.149856i 0.118754 0.992924i \(-0.462110\pi\)
0.537807 + 0.843068i \(0.319253\pi\)
\(240\) 6.70348 10.8686i 0.432708 0.701564i
\(241\) −11.3389 9.04244i −0.730401 0.582475i 0.186089 0.982533i \(-0.440419\pi\)
−0.916490 + 0.400058i \(0.868990\pi\)
\(242\) 16.0791 + 13.5203i 1.03361 + 0.869119i
\(243\) −0.900969 + 0.433884i −0.0577972 + 0.0278337i
\(244\) −6.25565 + 4.47793i −0.400477 + 0.286670i
\(245\) −21.2126 7.02879i −1.35522 0.449053i
\(246\) 3.73097 + 1.91763i 0.237878 + 0.122263i
\(247\) −7.95497 16.5187i −0.506163 1.05106i
\(248\) −1.29024 + 16.5295i −0.0819304 + 1.04963i
\(249\) 1.60014 2.00651i 0.101405 0.127157i
\(250\) −0.556173 + 0.661433i −0.0351755 + 0.0418327i
\(251\) −0.725522 3.17872i −0.0457946 0.200639i 0.946855 0.321659i \(-0.104241\pi\)
−0.992650 + 0.121020i \(0.961383\pi\)
\(252\) 4.51524 + 2.75909i 0.284433 + 0.173807i
\(253\) 7.70385 33.7528i 0.484337 2.12202i
\(254\) 9.15564 + 12.1131i 0.574476 + 0.760043i
\(255\) −4.11261 18.0185i −0.257542 1.12836i
\(256\) 15.6560 + 3.29983i 0.978502 + 0.206239i
\(257\) 18.5116 14.7625i 1.15472 0.920860i 0.156952 0.987606i \(-0.449833\pi\)
0.997770 + 0.0667464i \(0.0212619\pi\)
\(258\) 14.2974 + 0.371334i 0.890119 + 0.0231183i
\(259\) −2.25976 3.12936i −0.140415 0.194449i
\(260\) −3.41423 19.5998i −0.211741 1.21553i
\(261\) −0.845248 3.70327i −0.0523195 0.229227i
\(262\) −0.0519665 + 0.0104494i −0.00321050 + 0.000645566i
\(263\) 9.88378i 0.609460i 0.952439 + 0.304730i \(0.0985662\pi\)
−0.952439 + 0.304730i \(0.901434\pi\)
\(264\) −2.09943 14.2279i −0.129211 0.875664i
\(265\) 25.9530 20.6968i 1.59428 1.27139i
\(266\) 1.62216 21.9560i 0.0994611 1.34621i
\(267\) 6.88434 + 5.49008i 0.421315 + 0.335987i
\(268\) 0.415900 8.00126i 0.0254051 0.488755i
\(269\) −0.405321 + 0.841658i −0.0247129 + 0.0513168i −0.912960 0.408049i \(-0.866209\pi\)
0.888247 + 0.459366i \(0.151923\pi\)
\(270\) 2.72230 + 3.60166i 0.165674 + 0.219190i
\(271\) 13.5302 16.9663i 0.821899 1.03063i −0.177023 0.984207i \(-0.556647\pi\)
0.998922 0.0464217i \(-0.0147818\pi\)
\(272\) 19.5045 12.4835i 1.18264 0.756921i
\(273\) 8.11586 1.44849i 0.491194 0.0876668i
\(274\) −24.1772 + 4.86153i −1.46060 + 0.293696i
\(275\) 26.3972i 1.59181i
\(276\) −11.0729 + 7.92624i −0.666511 + 0.477103i
\(277\) −16.1292 20.2254i −0.969109 1.21522i −0.976559 0.215252i \(-0.930943\pi\)
0.00744956 0.999972i \(-0.497629\pi\)
\(278\) −8.66600 2.21617i −0.519752 0.132917i
\(279\) −5.28134 2.54336i −0.316186 0.152267i
\(280\) 8.19354 22.4407i 0.489658 1.34109i
\(281\) −24.1479 + 11.6290i −1.44054 + 0.693729i −0.980925 0.194387i \(-0.937728\pi\)
−0.459619 + 0.888116i \(0.652014\pi\)
\(282\) 5.75279 1.15677i 0.342574 0.0688846i
\(283\) −29.1265 + 14.0266i −1.73139 + 0.833794i −0.745480 + 0.666528i \(0.767780\pi\)
−0.985912 + 0.167266i \(0.946506\pi\)
\(284\) 8.76242 + 7.76514i 0.519954 + 0.460776i
\(285\) 8.15006 16.9238i 0.482768 1.00248i
\(286\) −17.1498 14.4206i −1.01409 0.852707i
\(287\) 7.55908 + 2.10980i 0.446199 + 0.124538i
\(288\) −3.09361 + 4.73599i −0.182293 + 0.279071i
\(289\) 3.67527 16.1024i 0.216192 0.947200i
\(290\) −15.6389 + 7.03712i −0.918349 + 0.413234i
\(291\) 1.19111 + 0.271864i 0.0698243 + 0.0159369i
\(292\) −6.76208 + 12.3564i −0.395721 + 0.723104i
\(293\) 29.2705i 1.71000i −0.518627 0.855001i \(-0.673557\pi\)
0.518627 0.855001i \(-0.326443\pi\)
\(294\) 9.31305 + 3.35664i 0.543148 + 0.195763i
\(295\) 26.9698i 1.57024i
\(296\) 3.41665 2.31396i 0.198589 0.134496i
\(297\) 4.95729 + 1.13147i 0.287651 + 0.0656545i
\(298\) −11.3859 25.3035i −0.659568 1.46579i
\(299\) −4.72097 + 20.6839i −0.273021 + 1.19618i
\(300\) 6.88624 7.77064i 0.397577 0.448638i
\(301\) 26.3408 4.70123i 1.51826 0.270974i
\(302\) −8.38795 + 9.97542i −0.482672 + 0.574021i
\(303\) 0.698710 1.45089i 0.0401398 0.0833512i
\(304\) 23.4090 + 2.44016i 1.34260 + 0.139953i
\(305\) −11.0638 + 5.32803i −0.633509 + 0.305082i
\(306\) 1.61400 + 8.02670i 0.0922665 + 0.458856i
\(307\) −24.2271 + 11.6672i −1.38271 + 0.665880i −0.969576 0.244789i \(-0.921281\pi\)
−0.413137 + 0.910669i \(0.635567\pi\)
\(308\) −9.20289 25.2833i −0.524383 1.44065i
\(309\) −3.08192 1.48417i −0.175324 0.0844316i
\(310\) −6.55685 + 25.6396i −0.372404 + 1.45623i
\(311\) 7.93806 + 9.95401i 0.450126 + 0.564440i 0.954181 0.299232i \(-0.0967303\pi\)
−0.504054 + 0.863672i \(0.668159\pi\)
\(312\) 1.28654 + 8.71891i 0.0728362 + 0.493611i
\(313\) 11.7897i 0.666393i 0.942857 + 0.333196i \(0.108127\pi\)
−0.942857 + 0.333196i \(0.891873\pi\)
\(314\) 2.90017 + 14.4230i 0.163666 + 0.813937i
\(315\) 6.34451 + 5.57558i 0.357473 + 0.314148i
\(316\) 1.38463 26.6380i 0.0778913 1.49851i
\(317\) 5.55571 6.96665i 0.312040 0.391286i −0.600937 0.799296i \(-0.705206\pi\)
0.912977 + 0.408010i \(0.133777\pi\)
\(318\) −11.7312 + 8.86696i −0.657851 + 0.497234i
\(319\) −8.38027 + 17.4018i −0.469205 + 0.974315i
\(320\) 23.7155 + 9.47768i 1.32574 + 0.529819i
\(321\) −4.42984 3.53268i −0.247250 0.197175i
\(322\) −17.3084 + 18.6934i −0.964558 + 1.04174i
\(323\) 26.6326 21.2388i 1.48188 1.18176i
\(324\) −1.16413 1.62628i −0.0646739 0.0903491i
\(325\) 16.1763i 0.897302i
\(326\) −2.05950 10.2422i −0.114065 0.567265i
\(327\) −0.0382413 0.167546i −0.00211475 0.00926533i
\(328\) −2.49779 + 8.00942i −0.137917 + 0.442246i
\(329\) 10.1070 4.28528i 0.557216 0.236255i
\(330\) 0.596025 22.9487i 0.0328101 1.26328i
\(331\) −1.43996 + 1.14833i −0.0791473 + 0.0631179i −0.662264 0.749270i \(-0.730404\pi\)
0.583117 + 0.812388i \(0.301833\pi\)
\(332\) 4.50269 + 2.46411i 0.247117 + 0.135235i
\(333\) 0.324643 + 1.42235i 0.0177903 + 0.0779445i
\(334\) −3.24895 + 2.45570i −0.177774 + 0.134370i
\(335\) 2.84579 12.4682i 0.155482 0.681211i
\(336\) −3.88657 + 9.84350i −0.212030 + 0.537007i
\(337\) −3.43792 15.0625i −0.187275 0.820507i −0.978045 0.208393i \(-0.933177\pi\)
0.790770 0.612114i \(-0.209681\pi\)
\(338\) −3.56186 2.99503i −0.193739 0.162908i
\(339\) 4.53520 5.68696i 0.246318 0.308873i
\(340\) 34.0908 14.2876i 1.84884 0.774855i
\(341\) 12.9324 + 26.8544i 0.700330 + 1.45425i
\(342\) −3.80386 + 7.40087i −0.205689 + 0.400193i
\(343\) 18.3303 + 2.64574i 0.989743 + 0.142856i
\(344\) 4.17560 + 28.2981i 0.225134 + 1.52573i
\(345\) −19.5836 + 9.43096i −1.05435 + 0.507746i
\(346\) −16.2306 + 19.3024i −0.872563 + 1.03770i
\(347\) −16.3638 13.0497i −0.878453 0.700543i 0.0765733 0.997064i \(-0.475602\pi\)
−0.955026 + 0.296521i \(0.904174\pi\)
\(348\) 7.00655 2.93648i 0.375591 0.157412i
\(349\) −29.5226 + 6.73835i −1.58031 + 0.360695i −0.920502 0.390739i \(-0.872220\pi\)
−0.659808 + 0.751434i \(0.729362\pi\)
\(350\) 9.69456 16.8323i 0.518196 0.899725i
\(351\) −3.03786 0.693371i −0.162149 0.0370094i
\(352\) 27.3130 9.01995i 1.45579 0.480765i
\(353\) −31.4697 + 7.18275i −1.67496 + 0.382299i −0.951399 0.307960i \(-0.900354\pi\)
−0.723562 + 0.690259i \(0.757497\pi\)
\(354\) −0.310196 + 11.9434i −0.0164867 + 0.634786i
\(355\) 11.6520 + 14.6111i 0.618423 + 0.775477i
\(356\) −8.45437 + 15.4488i −0.448081 + 0.818782i
\(357\) 5.97912 + 14.1020i 0.316449 + 0.746355i
\(358\) 14.6525 + 19.3855i 0.774407 + 1.02456i
\(359\) −31.4480 + 7.17781i −1.65976 + 0.378830i −0.946662 0.322230i \(-0.895568\pi\)
−0.713102 + 0.701060i \(0.752711\pi\)
\(360\) −6.16208 + 6.60001i −0.324770 + 0.347851i
\(361\) 15.6211 0.822163
\(362\) 24.7492 + 12.7205i 1.30079 + 0.668573i
\(363\) −9.26190 11.6141i −0.486123 0.609580i
\(364\) 5.63959 + 15.4938i 0.295595 + 0.812093i
\(365\) −14.0183 + 17.5784i −0.733750 + 0.920094i
\(366\) 4.96081 2.23224i 0.259306 0.116681i
\(367\) 17.4544 + 8.40559i 0.911112 + 0.438768i 0.829890 0.557928i \(-0.188403\pi\)
0.0812222 + 0.996696i \(0.474118\pi\)
\(368\) −19.4178 19.0968i −1.01222 0.995489i
\(369\) −2.31912 1.84943i −0.120728 0.0962777i
\(370\) 6.00661 2.70282i 0.312269 0.140513i
\(371\) −18.1606 + 20.6651i −0.942850 + 1.07288i
\(372\) 3.19856 11.2789i 0.165838 0.584785i
\(373\) 7.15905 0.370682 0.185341 0.982674i \(-0.440661\pi\)
0.185341 + 0.982674i \(0.440661\pi\)
\(374\) 19.0307 37.0265i 0.984055 1.91460i
\(375\) 0.477757 0.380998i 0.0246713 0.0196747i
\(376\) 4.25373 + 10.9379i 0.219369 + 0.564077i
\(377\) 5.13548 10.6639i 0.264491 0.549221i
\(378\) −2.74550 2.54209i −0.141213 0.130751i
\(379\) 4.29612 + 8.92099i 0.220677 + 0.458240i 0.981687 0.190499i \(-0.0610107\pi\)
−0.761010 + 0.648740i \(0.775296\pi\)
\(380\) 36.1427 + 10.2496i 1.85408 + 0.525794i
\(381\) −4.65847 9.67342i −0.238661 0.495584i
\(382\) 9.15740 35.8086i 0.468533 1.83213i
\(383\) −2.84793 1.37149i −0.145522 0.0700799i 0.359705 0.933066i \(-0.382877\pi\)
−0.505228 + 0.862986i \(0.668592\pi\)
\(384\) −10.3933 4.46991i −0.530379 0.228104i
\(385\) −7.54589 42.2794i −0.384574 2.15476i
\(386\) 19.6653 + 5.02903i 1.00094 + 0.255971i
\(387\) −9.85966 2.25040i −0.501195 0.114394i
\(388\) −0.126840 + 2.44020i −0.00643931 + 0.123882i
\(389\) 0.818385 3.58558i 0.0414938 0.181796i −0.949934 0.312450i \(-0.898850\pi\)
0.991428 + 0.130654i \(0.0417076\pi\)
\(390\) −0.365248 + 14.0631i −0.0184950 + 0.712112i
\(391\) −39.4180 −1.99346
\(392\) −3.41720 + 19.5019i −0.172595 + 0.984993i
\(393\) 0.0374814 0.00189069
\(394\) 0.774619 29.8250i 0.0390248 1.50256i
\(395\) 9.47428 41.5095i 0.476703 2.08857i
\(396\) −0.527893 + 10.1558i −0.0265276 + 0.510350i
\(397\) 11.1981 + 2.55590i 0.562019 + 0.128277i 0.494086 0.869413i \(-0.335503\pi\)
0.0679322 + 0.997690i \(0.478360\pi\)
\(398\) −27.7001 7.08379i −1.38848 0.355078i
\(399\) −4.18507 + 14.9944i −0.209516 + 0.750660i
\(400\) 17.6743 + 10.9011i 0.883713 + 0.545053i
\(401\) 11.3243 + 5.45350i 0.565509 + 0.272335i 0.694718 0.719283i \(-0.255529\pi\)
−0.129209 + 0.991617i \(0.541244\pi\)
\(402\) −1.40365 + 5.48875i −0.0700075 + 0.273754i
\(403\) −7.92506 16.4566i −0.394775 0.819760i
\(404\) 3.09854 + 0.878706i 0.154158 + 0.0437173i
\(405\) −1.38513 2.87625i −0.0688277 0.142922i
\(406\) 11.7347 8.01865i 0.582382 0.397959i
\(407\) 3.21870 6.68370i 0.159545 0.331299i
\(408\) −15.2613 + 5.93510i −0.755546 + 0.293831i
\(409\) −26.2962 + 20.9706i −1.30027 + 1.03693i −0.303816 + 0.952731i \(0.598261\pi\)
−0.996449 + 0.0841966i \(0.973168\pi\)
\(410\) −6.12183 + 11.9107i −0.302336 + 0.588230i
\(411\) 17.4380 0.860156
\(412\) 1.86651 6.58180i 0.0919565 0.324262i
\(413\) 3.92719 + 22.0039i 0.193245 + 1.08274i
\(414\) 8.78096 3.95121i 0.431561 0.194191i
\(415\) 6.40557 + 5.10827i 0.314437 + 0.250755i
\(416\) −16.7376 + 5.52748i −0.820626 + 0.271007i
\(417\) 5.69862 + 2.74431i 0.279062 + 0.134389i
\(418\) 38.5850 17.3623i 1.88725 0.849216i
\(419\) 8.79356 11.0268i 0.429593 0.538693i −0.519174 0.854669i \(-0.673760\pi\)
0.948767 + 0.315976i \(0.102332\pi\)
\(420\) −8.80813 + 14.4145i −0.429793 + 0.703353i
\(421\) 14.2128 + 17.8223i 0.692692 + 0.868608i 0.996454 0.0841398i \(-0.0268142\pi\)
−0.303762 + 0.952748i \(0.598243\pi\)
\(422\) −21.2830 10.9389i −1.03604 0.532498i
\(423\) −4.14926 −0.201744
\(424\) −21.4973 20.0709i −1.04400 0.974729i
\(425\) 29.3013 6.68784i 1.42132 0.324408i
\(426\) −4.99196 6.60447i −0.241861 0.319988i
\(427\) 8.25079 5.95804i 0.399284 0.288330i
\(428\) 5.44010 9.94075i 0.262957 0.480504i
\(429\) 9.87861 + 12.3874i 0.476944 + 0.598068i
\(430\) −1.18545 + 45.6431i −0.0571674 + 2.20111i
\(431\) 7.79416 1.77897i 0.375432 0.0856898i −0.0306415 0.999530i \(-0.509755\pi\)
0.406073 + 0.913841i \(0.366898\pi\)
\(432\) 2.80476 2.85190i 0.134944 0.137212i
\(433\) 4.24771 + 0.969512i 0.204132 + 0.0465918i 0.323364 0.946275i \(-0.395186\pi\)
−0.119232 + 0.992866i \(0.538043\pi\)
\(434\) 1.61606 21.8734i 0.0775735 1.04996i
\(435\) 11.8223 2.69837i 0.566837 0.129377i
\(436\) 0.316996 0.132854i 0.0151813 0.00636257i
\(437\) −31.3220 24.9784i −1.49833 1.19488i
\(438\) 6.41010 7.62325i 0.306286 0.364253i
\(439\) −16.5374 + 7.96401i −0.789289 + 0.380101i −0.784690 0.619888i \(-0.787178\pi\)
−0.00459840 + 0.999989i \(0.501464\pi\)
\(440\) 45.4210 6.70222i 2.16536 0.319516i
\(441\) −5.98820 3.62512i −0.285152 0.172625i
\(442\) −11.6621 + 22.6901i −0.554712 + 1.07926i
\(443\) 7.42674 + 15.4218i 0.352855 + 0.732711i 0.999549 0.0300388i \(-0.00956308\pi\)
−0.646694 + 0.762750i \(0.723849\pi\)
\(444\) −2.69108 + 1.12784i −0.127713 + 0.0535251i
\(445\) −17.5265 + 21.9776i −0.830837 + 1.04184i
\(446\) 4.16960 + 3.50605i 0.197436 + 0.166017i
\(447\) 4.36591 + 19.1283i 0.206500 + 0.904737i
\(448\) −20.7289 4.27927i −0.979349 0.202177i
\(449\) −1.43348 + 6.28049i −0.0676501 + 0.296395i −0.997424 0.0717377i \(-0.977146\pi\)
0.929773 + 0.368132i \(0.120003\pi\)
\(450\) −5.85694 + 4.42695i −0.276099 + 0.208688i
\(451\) 3.35623 + 14.7046i 0.158039 + 0.692414i
\(452\) 12.7618 + 6.98392i 0.600264 + 0.328496i
\(453\) 7.20531 5.74604i 0.338535 0.269972i
\(454\) 0.370870 14.2796i 0.0174058 0.670173i
\(455\) 4.62417 + 25.9091i 0.216784 + 1.21464i
\(456\) −15.8877 4.95469i −0.744011 0.232024i
\(457\) −0.632159 2.76967i −0.0295712 0.129560i 0.957988 0.286809i \(-0.0925945\pi\)
−0.987559 + 0.157249i \(0.949737\pi\)
\(458\) 4.54858 + 22.6208i 0.212541 + 1.05700i
\(459\) 5.78934i 0.270223i
\(460\) −25.3037 35.3492i −1.17979 1.64816i
\(461\) −19.6657 + 15.6828i −0.915922 + 0.730423i −0.963292 0.268454i \(-0.913487\pi\)
0.0473708 + 0.998877i \(0.484916\pi\)
\(462\) 2.85538 + 18.8100i 0.132844 + 0.875120i
\(463\) 14.5836 + 11.6300i 0.677758 + 0.540494i 0.900756 0.434325i \(-0.143013\pi\)
−0.222998 + 0.974819i \(0.571584\pi\)
\(464\) 8.19066 + 12.7973i 0.380242 + 0.594101i
\(465\) 8.11942 16.8602i 0.376529 0.781871i
\(466\) 19.8896 15.0335i 0.921370 0.696414i
\(467\) −3.55559 + 4.45857i −0.164533 + 0.206318i −0.857263 0.514880i \(-0.827837\pi\)
0.692729 + 0.721198i \(0.256408\pi\)
\(468\) 0.323496 6.22356i 0.0149536 0.287684i
\(469\) −0.506250 + 10.5869i −0.0233765 + 0.488856i
\(470\) 3.69287 + 18.3652i 0.170339 + 0.847124i
\(471\) 10.4027i 0.479333i
\(472\) −23.6390 + 3.48811i −1.08807 + 0.160553i
\(473\) 32.0620 + 40.2045i 1.47421 + 1.84860i
\(474\) −4.67306 + 18.2733i −0.214641 + 0.839320i
\(475\) 27.5211 + 13.2535i 1.26276 + 0.608111i
\(476\) −25.7333 + 16.6210i −1.17948 + 0.761823i
\(477\) 9.36842 4.51159i 0.428950 0.206572i
\(478\) −2.90253 14.4347i −0.132759 0.660230i
\(479\) 10.9330 5.26505i 0.499541 0.240566i −0.167107 0.985939i \(-0.553443\pi\)
0.666648 + 0.745372i \(0.267728\pi\)
\(480\) −15.1192 9.87603i −0.690093 0.450777i
\(481\) −1.97244 + 4.09581i −0.0899354 + 0.186753i
\(482\) −13.2000 + 15.6982i −0.601242 + 0.715031i
\(483\) 14.6044 10.5461i 0.664525 0.479865i
\(484\) 19.7046 22.2352i 0.895662 1.01069i
\(485\) −0.867898 + 3.80251i −0.0394092 + 0.172663i
\(486\) 0.580316 + 1.28966i 0.0263237 + 0.0585004i
\(487\) 19.4303 + 4.43485i 0.880473 + 0.200962i 0.638779 0.769390i \(-0.279440\pi\)
0.241694 + 0.970353i \(0.422297\pi\)
\(488\) 6.10092 + 9.00826i 0.276176 + 0.407785i
\(489\) 7.38732i 0.334066i
\(490\) −10.7157 + 29.7310i −0.484088 + 1.34311i
\(491\) 9.05384i 0.408594i 0.978909 + 0.204297i \(0.0654908\pi\)
−0.978909 + 0.204297i \(0.934509\pi\)
\(492\) 2.84801 5.20420i 0.128398 0.234623i
\(493\) 21.4395 + 4.89343i 0.965587 + 0.220389i
\(494\) −23.6451 + 10.6397i −1.06384 + 0.478703i
\(495\) −3.61210 + 15.8256i −0.162352 + 0.711310i
\(496\) 23.3210 + 2.43099i 1.04715 + 0.109155i
\(497\) −11.6341 10.2241i −0.521862 0.458614i
\(498\) −2.77792 2.33585i −0.124482 0.104672i
\(499\) −3.80743 + 7.90620i −0.170444 + 0.353930i −0.968640 0.248467i \(-0.920073\pi\)
0.798197 + 0.602397i \(0.205788\pi\)
\(500\) 0.914671 + 0.810569i 0.0409053 + 0.0362498i
\(501\) 2.59458 1.24948i 0.115917 0.0558228i
\(502\) −4.52051 + 0.908982i −0.201760 + 0.0405699i
\(503\) 1.03217 0.497068i 0.0460223 0.0221632i −0.410731 0.911757i \(-0.634726\pi\)
0.456753 + 0.889593i \(0.349012\pi\)
\(504\) 4.06642 6.28206i 0.181133 0.279825i
\(505\) 4.63181 + 2.23056i 0.206113 + 0.0992587i
\(506\) −47.4347 12.1305i −2.10873 0.539269i
\(507\) 2.05170 + 2.57275i 0.0911191 + 0.114260i
\(508\) 17.4609 12.4989i 0.774703 0.554549i
\(509\) 11.7475i 0.520700i 0.965514 + 0.260350i \(0.0838379\pi\)
−0.965514 + 0.260350i \(0.916162\pi\)
\(510\) −25.6244 + 5.15255i −1.13467 + 0.228159i
\(511\) 8.87747 16.3830i 0.392716 0.724740i
\(512\) 5.23994 22.0123i 0.231575 0.972817i
\(513\) 3.66860 4.60027i 0.161972 0.203107i
\(514\) −20.1906 26.7126i −0.890569 1.17824i
\(515\) 4.73807 9.83871i 0.208784 0.433545i
\(516\) 1.04994 20.1992i 0.0462209 0.889219i
\(517\) 16.4951 + 13.1544i 0.725455 + 0.578531i
\(518\) −4.50706 + 3.07981i −0.198029 + 0.135319i
\(519\) 13.9422 11.1185i 0.611995 0.488049i
\(520\) −27.8343 + 4.10716i −1.22061 + 0.180111i
\(521\) 24.4991i 1.07333i 0.843797 + 0.536663i \(0.180315\pi\)
−0.843797 + 0.536663i \(0.819685\pi\)
\(522\) −5.26649 + 1.05898i −0.230508 + 0.0463504i
\(523\) −7.50269 32.8714i −0.328070 1.43737i −0.822805 0.568324i \(-0.807592\pi\)
0.494735 0.869044i \(-0.335265\pi\)
\(524\) 0.0128646 + 0.0738507i 0.000561993 + 0.00322618i
\(525\) −9.06690 + 10.3173i −0.395712 + 0.450284i
\(526\) 13.9731 + 0.362910i 0.609254 + 0.0158236i
\(527\) 26.5324 21.1589i 1.15577 0.921697i
\(528\) −20.1915 + 2.44563i −0.878723 + 0.106432i
\(529\) 5.19779 + 22.7730i 0.225991 + 0.990131i
\(530\) −28.3069 37.4506i −1.22957 1.62675i
\(531\) 1.87989 8.23632i 0.0815801 0.357426i
\(532\) −30.9804 3.09948i −1.34317 0.134380i
\(533\) −2.05672 9.01108i −0.0890864 0.390313i
\(534\) 8.01430 9.53106i 0.346813 0.412449i
\(535\) 11.2777 14.1418i 0.487579 0.611404i
\(536\) −11.2964 0.881761i −0.487930 0.0380863i
\(537\) −7.45531 15.4811i −0.321720 0.668059i
\(538\) 1.17500 + 0.603921i 0.0506579 + 0.0260369i
\(539\) 12.3130 + 33.3958i 0.530358 + 1.43846i
\(540\) 5.19175 3.71637i 0.223417 0.159927i
\(541\) 10.1553 4.89054i 0.436611 0.210261i −0.202649 0.979251i \(-0.564955\pi\)
0.639260 + 0.768991i \(0.279241\pi\)
\(542\) −23.4891 19.7511i −1.00894 0.848380i
\(543\) −15.3837 12.2681i −0.660180 0.526476i
\(544\) −16.9322 28.0327i −0.725961 1.20189i
\(545\) 0.534875 0.122082i 0.0229115 0.00522940i
\(546\) −1.74979 11.5269i −0.0748842 0.493305i
\(547\) 4.29778 + 0.980941i 0.183760 + 0.0419420i 0.313411 0.949618i \(-0.398528\pi\)
−0.129651 + 0.991560i \(0.541386\pi\)
\(548\) 5.98520 + 34.3587i 0.255675 + 1.46773i
\(549\) −3.75015 + 0.855947i −0.160052 + 0.0365309i
\(550\) 37.3187 + 0.969244i 1.59127 + 0.0413287i
\(551\) 13.9352 + 17.4742i 0.593659 + 0.744425i
\(552\) 10.7990 + 15.9452i 0.459638 + 0.678674i
\(553\) −1.68542 + 35.2461i −0.0716715 + 1.49882i
\(554\) −29.1856 + 22.0598i −1.23998 + 0.937231i
\(555\) −4.54072 + 1.03639i −0.192743 + 0.0439923i
\(556\) −3.45127 + 12.1701i −0.146367 + 0.516126i
\(557\) −10.2954 −0.436228 −0.218114 0.975923i \(-0.569991\pi\)
−0.218114 + 0.975923i \(0.569991\pi\)
\(558\) −3.78956 + 7.37304i −0.160425 + 0.312126i
\(559\) −19.6478 24.6375i −0.831012 1.04206i
\(560\) −31.4244 12.4075i −1.32792 0.524312i
\(561\) −18.3540 + 23.0152i −0.774906 + 0.971701i
\(562\) 15.5537 + 34.5658i 0.656094 + 1.45807i
\(563\) −20.2163 9.73565i −0.852015 0.410309i −0.0436898 0.999045i \(-0.513911\pi\)
−0.808325 + 0.588736i \(0.799626\pi\)
\(564\) −1.42414 8.17541i −0.0599670 0.344247i
\(565\) 18.1551 + 14.4782i 0.763789 + 0.609101i
\(566\) 18.7605 + 41.6923i 0.788561 + 1.75246i
\(567\) 1.54891 + 2.14496i 0.0650483 + 0.0900800i
\(568\) 11.2996 12.1026i 0.474121 0.507815i
\(569\) 15.9100 0.666983 0.333492 0.942753i \(-0.391773\pi\)
0.333492 + 0.942753i \(0.391773\pi\)
\(570\) −23.6265 12.1434i −0.989606 0.508633i
\(571\) −9.32330 + 7.43508i −0.390168 + 0.311148i −0.798852 0.601527i \(-0.794559\pi\)
0.408684 + 0.912676i \(0.365988\pi\)
\(572\) −21.0166 + 23.7158i −0.878749 + 0.991607i
\(573\) −11.3397 + 23.5472i −0.473723 + 0.983697i
\(574\) 3.26026 10.6091i 0.136081 0.442815i
\(575\) −15.3364 31.8465i −0.639574 1.32809i
\(576\) 6.58185 + 4.54744i 0.274244 + 0.189477i
\(577\) −5.89900 12.2494i −0.245579 0.509949i 0.741348 0.671121i \(-0.234187\pi\)
−0.986926 + 0.161172i \(0.948473\pi\)
\(578\) −22.6296 5.78710i −0.941267 0.240712i
\(579\) −12.9315 6.22751i −0.537417 0.258806i
\(580\) 9.37441 + 22.3677i 0.389251 + 0.928769i
\(581\) −5.96997 3.23496i −0.247676 0.134209i
\(582\) 0.428079 1.67394i 0.0177444 0.0693870i
\(583\) −51.5467 11.7652i −2.13484 0.487264i
\(584\) 17.2204 + 10.0135i 0.712586 + 0.414362i
\(585\) 2.21352 9.69805i 0.0915176 0.400965i
\(586\) −41.3808 1.07475i −1.70942 0.0443974i
\(587\) −10.4712 −0.432193 −0.216096 0.976372i \(-0.569333\pi\)
−0.216096 + 0.976372i \(0.569333\pi\)
\(588\) 5.08736 13.0430i 0.209799 0.537883i
\(589\) 34.4909 1.42117
\(590\) −38.1282 0.990270i −1.56971 0.0407688i
\(591\) −4.69444 + 20.5677i −0.193103 + 0.846041i
\(592\) −3.14587 4.91521i −0.129295 0.202014i
\(593\) 35.1780 + 8.02915i 1.44459 + 0.329718i 0.871750 0.489952i \(-0.162986\pi\)
0.572837 + 0.819669i \(0.305843\pi\)
\(594\) 1.78162 6.96676i 0.0731007 0.285849i
\(595\) −45.0191 + 19.0878i −1.84560 + 0.782522i
\(596\) −36.1905 + 15.1676i −1.48242 + 0.621289i
\(597\) 18.2151 + 8.77194i 0.745495 + 0.359012i
\(598\) 29.0683 + 7.43367i 1.18869 + 0.303985i
\(599\) −10.5934 21.9975i −0.432836 0.898793i −0.997307 0.0733399i \(-0.976634\pi\)
0.564471 0.825453i \(-0.309080\pi\)
\(600\) −10.7328 10.0207i −0.438164 0.409091i
\(601\) 15.6140 + 32.4228i 0.636908 + 1.32255i 0.930384 + 0.366587i \(0.119474\pi\)
−0.293476 + 0.955967i \(0.594812\pi\)
\(602\) −5.67912 37.4116i −0.231464 1.52478i
\(603\) 1.73815 3.60931i 0.0707830 0.146982i
\(604\) 13.7946 + 12.2246i 0.561296 + 0.497413i
\(605\) 37.0767 29.5677i 1.50738 1.20210i
\(606\) −2.02552 1.04107i −0.0822810 0.0422904i
\(607\) 29.4295 1.19451 0.597253 0.802053i \(-0.296259\pi\)
0.597253 + 0.802053i \(0.296259\pi\)
\(608\) 4.30927 33.0046i 0.174764 1.33851i
\(609\) −9.25260 + 3.92303i −0.374934 + 0.158969i
\(610\) 7.12619 + 15.8369i 0.288531 + 0.641217i
\(611\) −10.1083 8.06111i −0.408939 0.326118i
\(612\) 11.4069 1.98706i 0.461097 0.0803220i
\(613\) −26.7865 12.8997i −1.08190 0.521015i −0.193975 0.981006i \(-0.562138\pi\)
−0.887923 + 0.459992i \(0.847852\pi\)
\(614\) 15.6047 + 34.6791i 0.629755 + 1.39954i
\(615\) 5.90414 7.40355i 0.238078 0.298540i
\(616\) −36.0818 + 12.0821i −1.45378 + 0.486802i
\(617\) −2.79951 3.51048i −0.112704 0.141327i 0.722280 0.691601i \(-0.243094\pi\)
−0.834984 + 0.550275i \(0.814523\pi\)
\(618\) −2.21139 + 4.30252i −0.0889552 + 0.173073i
\(619\) 0.495593 0.0199196 0.00995979 0.999950i \(-0.496830\pi\)
0.00995979 + 0.999950i \(0.496830\pi\)
\(620\) 36.0069 + 10.2111i 1.44607 + 0.410087i
\(621\) −6.63801 + 1.51508i −0.266374 + 0.0607982i
\(622\) 14.3638 10.8568i 0.575937 0.435320i
\(623\) 11.0992 20.4830i 0.444679 0.820635i
\(624\) 12.3735 1.49870i 0.495336 0.0599959i
\(625\) −14.9677 18.7689i −0.598707 0.750755i
\(626\) 16.6675 + 0.432891i 0.666168 + 0.0173018i
\(627\) −29.1685 + 6.65753i −1.16488 + 0.265876i
\(628\) 20.4968 3.57049i 0.817912 0.142478i
\(629\) −8.23450 1.87947i −0.328331 0.0749394i
\(630\) 8.11536 8.76474i 0.323324 0.349196i
\(631\) −36.7063 + 8.37797i −1.46125 + 0.333522i −0.877958 0.478738i \(-0.841094\pi\)
−0.583296 + 0.812260i \(0.698237\pi\)
\(632\) −37.6083 2.93558i −1.49598 0.116771i
\(633\) 13.2292 + 10.5499i 0.525813 + 0.419322i
\(634\) −9.64501 8.11012i −0.383052 0.322094i
\(635\) 30.8814 14.8717i 1.22549 0.590166i
\(636\) 12.1048 + 16.9104i 0.479987 + 0.670540i
\(637\) −7.54547 20.4652i −0.298962 0.810859i
\(638\) 24.2939 + 12.4865i 0.961804 + 0.494343i
\(639\) 2.53996 + 5.27427i 0.100479 + 0.208647i
\(640\) 14.2697 33.1795i 0.564061 1.31153i
\(641\) −1.62845 + 2.04202i −0.0643201 + 0.0806548i −0.812951 0.582332i \(-0.802140\pi\)
0.748631 + 0.662987i \(0.230712\pi\)
\(642\) −5.15693 + 6.13292i −0.203528 + 0.242047i
\(643\) −0.696053 3.04961i −0.0274497 0.120265i 0.959347 0.282230i \(-0.0910740\pi\)
−0.986797 + 0.161965i \(0.948217\pi\)
\(644\) 25.7920 + 25.1559i 1.01635 + 0.991280i
\(645\) 7.18418 31.4760i 0.282877 1.23937i
\(646\) −29.0481 38.4313i −1.14288 1.51206i
\(647\) 6.76963 + 29.6597i 0.266142 + 1.16604i 0.914461 + 0.404674i \(0.132615\pi\)
−0.648319 + 0.761369i \(0.724528\pi\)
\(648\) −2.34188 + 1.58606i −0.0919978 + 0.0623063i
\(649\) −33.5850 + 26.7831i −1.31833 + 1.05133i
\(650\) −22.8691 0.593958i −0.897000 0.0232970i
\(651\) −4.16934 + 14.9381i −0.163409 + 0.585469i
\(652\) −14.5555 + 2.53552i −0.570036 + 0.0992988i
\(653\) 6.61218 + 28.9698i 0.258754 + 1.13368i 0.922585 + 0.385794i \(0.126072\pi\)
−0.663830 + 0.747883i \(0.731070\pi\)
\(654\) −0.238270 + 0.0479113i −0.00931711 + 0.00187348i
\(655\) 0.119656i 0.00467533i
\(656\) 11.2315 + 3.82530i 0.438516 + 0.149353i
\(657\) −5.50632 + 4.39114i −0.214822 + 0.171315i
\(658\) −5.68715 14.4460i −0.221708 0.563162i
\(659\) 12.2952 + 9.80506i 0.478951 + 0.381951i 0.832997 0.553277i \(-0.186623\pi\)
−0.354046 + 0.935228i \(0.615194\pi\)
\(660\) −32.4215 1.68525i −1.26200 0.0655981i
\(661\) −7.79882 + 16.1944i −0.303339 + 0.629890i −0.995799 0.0915662i \(-0.970813\pi\)
0.692460 + 0.721456i \(0.256527\pi\)
\(662\) 1.57056 + 2.07789i 0.0610417 + 0.0807594i
\(663\) 11.2474 14.1038i 0.436814 0.547747i
\(664\) 3.64893 6.27514i 0.141606 0.243523i
\(665\) −47.8682 13.3604i −1.85625 0.518095i
\(666\) 2.02276 0.406734i 0.0783802 0.0157606i
\(667\) 25.8630i 1.00142i
\(668\) 3.35242 + 4.68332i 0.129709 + 0.181203i
\(669\) −2.40177 3.01172i −0.0928578 0.116440i
\(670\) −17.5223 4.48100i −0.676945 0.173116i
\(671\) 17.6221 + 8.48635i 0.680293 + 0.327612i
\(672\) 13.7734 + 5.85602i 0.531321 + 0.225901i
\(673\) −12.1387 + 5.84568i −0.467912 + 0.225334i −0.652956 0.757396i \(-0.726471\pi\)
0.185044 + 0.982730i \(0.440757\pi\)
\(674\) −21.4207 + 4.30725i −0.825093 + 0.165909i
\(675\) 4.67730 2.25247i 0.180029 0.0866976i
\(676\) −4.36496 + 4.92556i −0.167883 + 0.189444i
\(677\) 10.2165 21.2148i 0.392653 0.815352i −0.607132 0.794601i \(-0.707680\pi\)
0.999785 0.0207507i \(-0.00660564\pi\)
\(678\) −7.87334 6.62039i −0.302374 0.254255i
\(679\) 0.154394 3.22875i 0.00592511 0.123908i
\(680\) −18.9472 48.7201i −0.726592 1.86833i
\(681\) −2.24759 + 9.84734i −0.0861279 + 0.377351i
\(682\) 38.4400 17.2970i 1.47194 0.662336i
\(683\) 33.6265 + 7.67502i 1.28668 + 0.293677i 0.810535 0.585690i \(-0.199176\pi\)
0.476146 + 0.879366i \(0.342033\pi\)
\(684\) 10.3232 + 5.64940i 0.394718 + 0.216010i
\(685\) 55.6692i 2.12701i
\(686\) 4.41343 25.8171i 0.168505 0.985701i
\(687\) 16.3155i 0.622474i
\(688\) 40.1594 4.86417i 1.53106 0.185445i
\(689\) 31.5881 + 7.20978i 1.20341 + 0.274671i
\(690\) 12.6138 + 28.0323i 0.480201 + 1.06717i
\(691\) −2.68378 + 11.7584i −0.102096 + 0.447312i 0.897879 + 0.440242i \(0.145107\pi\)
−0.999975 + 0.00706948i \(0.997750\pi\)
\(692\) 26.6925 + 23.6545i 1.01470 + 0.899211i
\(693\) 0.642573 13.4377i 0.0244093 0.510456i
\(694\) −19.0496 + 22.6549i −0.723114 + 0.859968i
\(695\) −8.76093 + 18.1923i −0.332321 + 0.690072i
\(696\) −3.89414 10.0132i −0.147607 0.379551i
\(697\) 15.4721 7.45096i 0.586047 0.282225i
\(698\) 8.44224 + 41.9846i 0.319544 + 1.58914i
\(699\) −15.8837 + 7.64919i −0.600777 + 0.289319i
\(700\) −23.4405 14.3236i −0.885967 0.541381i
\(701\) −14.7496 7.10305i −0.557086 0.268278i 0.134085 0.990970i \(-0.457191\pi\)
−0.691171 + 0.722691i \(0.742905\pi\)
\(702\) −1.09179 + 4.26927i −0.0412068 + 0.161133i
\(703\) −5.35223 6.71149i −0.201863 0.253129i
\(704\) −11.7490 38.9445i −0.442806 1.46778i
\(705\) 13.2461i 0.498877i
\(706\) 8.99902 + 44.7536i 0.338683 + 1.68432i
\(707\) −4.10377 1.14540i −0.154338 0.0430771i
\(708\) 16.8735 + 0.877071i 0.634144 + 0.0329623i
\(709\) 0.000700407 0 0.000878283i 2.63044e−5 0 3.29846e-5i −0.781818 0.623506i \(-0.785708\pi\)
0.781845 + 0.623473i \(0.214279\pi\)
\(710\) 21.0841 15.9363i 0.791272 0.598080i
\(711\) 5.78671 12.0162i 0.217018 0.450643i
\(712\) 21.5300 + 12.5195i 0.806873 + 0.469188i
\(713\) −31.2042 24.8845i −1.16861 0.931933i
\(714\) 20.1560 7.93512i 0.754320 0.296964i
\(715\) −39.5455 + 31.5365i −1.47892 + 1.17940i
\(716\) 27.9440 20.0029i 1.04432 0.747545i
\(717\) 10.4112i 0.388814i
\(718\) 8.99283 + 44.7228i 0.335610 + 1.66904i
\(719\) 1.24131 + 5.43852i 0.0462929 + 0.202822i 0.992786 0.119903i \(-0.0382582\pi\)
−0.946493 + 0.322725i \(0.895401\pi\)
\(720\) 9.10441 + 8.95390i 0.339301 + 0.333692i
\(721\) −2.43301 + 8.71707i −0.0906099 + 0.324641i
\(722\) 0.573571 22.0841i 0.0213461 0.821886i
\(723\) 11.3389 9.04244i 0.421697 0.336292i
\(724\) 18.8921 34.5218i 0.702121 1.28299i
\(725\) 4.38803 + 19.2252i 0.162967 + 0.714007i
\(726\) −16.7593 + 12.6674i −0.621995 + 0.470133i
\(727\) 4.63728 20.3173i 0.171987 0.753525i −0.813192 0.581996i \(-0.802272\pi\)
0.985179 0.171530i \(-0.0548709\pi\)
\(728\) 22.1112 7.40399i 0.819494 0.274410i
\(729\) −0.222521 0.974928i −0.00824152 0.0361084i
\(730\) 24.3365 + 20.4636i 0.900733 + 0.757392i
\(731\) 36.5046 45.7754i 1.35017 1.69306i
\(732\) −2.97365 7.09524i −0.109909 0.262248i
\(733\) −11.6279 24.1456i −0.429486 0.891837i −0.997623 0.0689032i \(-0.978050\pi\)
0.568137 0.822934i \(-0.307664\pi\)
\(734\) 12.5242 24.3673i 0.462276 0.899413i
\(735\) 11.5728 19.1167i 0.426870 0.705131i
\(736\) −27.7108 + 26.7505i −1.02143 + 0.986036i
\(737\) −18.3525 + 8.83811i −0.676024 + 0.325556i
\(738\) −2.69977 + 3.21072i −0.0993798 + 0.118188i
\(739\) −1.21999 0.972910i −0.0448781 0.0357891i 0.600794 0.799404i \(-0.294851\pi\)
−0.645672 + 0.763615i \(0.723423\pi\)
\(740\) −3.60053 8.59100i −0.132358 0.315812i
\(741\) 17.8747 4.07977i 0.656642 0.149874i
\(742\) 28.5482 + 26.4330i 1.04804 + 0.970387i
\(743\) −26.0790 5.95237i −0.956746 0.218371i −0.284481 0.958682i \(-0.591821\pi\)
−0.672265 + 0.740311i \(0.734678\pi\)
\(744\) −15.8280 4.93606i −0.580283 0.180965i
\(745\) −61.0651 + 13.9377i −2.23725 + 0.510638i
\(746\) 0.262864 10.1210i 0.00962414 0.370557i
\(747\) 1.60014 + 2.00651i 0.0585459 + 0.0734143i
\(748\) −51.6470 28.2640i −1.88840 1.03343i
\(749\) −7.14194 + 13.1801i −0.260961 + 0.481592i
\(750\) −0.521089 0.689412i −0.0190275 0.0251738i
\(751\) −39.2493 + 8.95840i −1.43223 + 0.326896i −0.867111 0.498115i \(-0.834026\pi\)
−0.565116 + 0.825011i \(0.691169\pi\)
\(752\) 15.6194 5.61203i 0.569583 0.204650i
\(753\) 3.26047 0.118818
\(754\) −14.8874 7.65177i −0.542168 0.278661i
\(755\) 18.3437 + 23.0022i 0.667594 + 0.837136i
\(756\) −3.69465 + 3.78808i −0.134373 + 0.137771i
\(757\) 28.5670 35.8219i 1.03829 1.30197i 0.0861537 0.996282i \(-0.472542\pi\)
0.952132 0.305687i \(-0.0988862\pi\)
\(758\) 12.7697 5.74603i 0.463815 0.208705i
\(759\) 31.1923 + 15.0214i 1.13221 + 0.545242i
\(760\) 15.8173 50.7200i 0.573755 1.83981i
\(761\) −28.4198 22.6640i −1.03022 0.821571i −0.0460727 0.998938i \(-0.514671\pi\)
−0.984145 + 0.177367i \(0.943242\pi\)
\(762\) −13.8467 + 6.23067i −0.501614 + 0.225713i
\(763\) −0.418613 + 0.177489i −0.0151548 + 0.00642552i
\(764\) −50.2877 14.2610i −1.81935 0.515943i
\(765\) 18.4819 0.668214
\(766\) −2.04350 + 3.97587i −0.0738345 + 0.143654i
\(767\) 20.5811 16.4129i 0.743140 0.592634i
\(768\) −6.70089 + 14.5292i −0.241798 + 0.524278i
\(769\) 7.29516 15.1486i 0.263070 0.546271i −0.727035 0.686601i \(-0.759102\pi\)
0.990105 + 0.140330i \(0.0448163\pi\)
\(770\) −60.0490 + 9.11550i −2.16402 + 0.328500i
\(771\) 10.2732 + 21.3324i 0.369979 + 0.768269i
\(772\) 7.83178 27.6168i 0.281872 0.993952i
\(773\) −13.8791 28.8203i −0.499197 1.03659i