Properties

Label 354.2.e.c.7.3
Level 354
Weight 2
Character 354.7
Analytic conductor 2.827
Analytic rank 0
Dimension 84
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 354 = 2 \cdot 3 \cdot 59 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 354.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.82670423155\)
Analytic rank: \(0\)
Dimension: \(84\)
Relative dimension: \(3\) over \(\Q(\zeta_{29})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 7.3
Character \(\chi\) = 354.7
Dual form 354.2.e.c.253.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.561187 - 0.827689i) q^{2} +(-0.0541389 + 0.998533i) q^{3} +(-0.370138 + 0.928977i) q^{4} +(3.87770 - 1.79401i) q^{5} +(0.856857 - 0.515554i) q^{6} +(0.929941 - 3.34934i) q^{7} +(0.976621 - 0.214970i) q^{8} +(-0.994138 - 0.108119i) q^{9} +O(q^{10})\) \(q+(-0.561187 - 0.827689i) q^{2} +(-0.0541389 + 0.998533i) q^{3} +(-0.370138 + 0.928977i) q^{4} +(3.87770 - 1.79401i) q^{5} +(0.856857 - 0.515554i) q^{6} +(0.929941 - 3.34934i) q^{7} +(0.976621 - 0.214970i) q^{8} +(-0.994138 - 0.108119i) q^{9} +(-3.66100 - 2.20275i) q^{10} +(-3.98480 + 3.77460i) q^{11} +(-0.907575 - 0.419889i) q^{12} +(3.32740 - 0.361877i) q^{13} +(-3.29409 + 1.10991i) q^{14} +(1.58145 + 3.96914i) q^{15} +(-0.725995 - 0.687699i) q^{16} +(-1.01103 - 3.64142i) q^{17} +(0.468408 + 0.883512i) q^{18} +(-1.76154 + 1.33909i) q^{19} +(0.231313 + 4.26633i) q^{20} +(3.29409 + 1.10991i) q^{21} +(5.36041 + 1.17992i) q^{22} +(2.05407 - 3.87439i) q^{23} +(0.161782 + 0.986827i) q^{24} +(8.58113 - 10.1025i) q^{25} +(-2.16682 - 2.55098i) q^{26} +(0.161782 - 0.986827i) q^{27} +(2.76726 + 2.10361i) q^{28} +(-1.97733 + 2.91635i) q^{29} +(2.39772 - 3.53638i) q^{30} +(5.92743 + 4.50591i) q^{31} +(-0.161782 + 0.986827i) q^{32} +(-3.55333 - 4.18330i) q^{33} +(-2.44658 + 2.88034i) q^{34} +(-2.40274 - 14.6561i) q^{35} +(0.468408 - 0.883512i) q^{36} +(0.148253 + 0.0326328i) q^{37} +(2.09690 + 0.706527i) q^{38} +(0.181204 + 3.34212i) q^{39} +(3.40138 - 2.58566i) q^{40} +(0.987267 + 1.86218i) q^{41} +(-0.929941 - 3.34934i) q^{42} +(3.59462 + 3.40501i) q^{43} +(-2.03159 - 5.09891i) q^{44} +(-4.04893 + 1.36425i) q^{45} +(-4.35951 + 0.474125i) q^{46} +(-1.05888 - 0.489889i) q^{47} +(0.725995 - 0.687699i) q^{48} +(-4.35531 - 2.62051i) q^{49} +(-13.1773 - 1.43312i) q^{50} +(3.69081 - 0.812410i) q^{51} +(-0.895424 + 3.22503i) q^{52} +(-9.25688 + 5.56968i) q^{53} +(-0.907575 + 0.419889i) q^{54} +(-8.68015 + 21.7855i) q^{55} +(0.188189 - 3.47095i) q^{56} +(-1.24175 - 1.83145i) q^{57} +3.52348 q^{58} +(-7.65368 + 0.649018i) q^{59} -4.27259 q^{60} +(3.52729 + 5.20237i) q^{61} +(0.403099 - 7.43473i) q^{62} +(-1.28662 + 3.22917i) q^{63} +(0.907575 - 0.419889i) q^{64} +(12.2535 - 7.37266i) q^{65} +(-1.46839 + 5.28867i) q^{66} +(-13.3899 + 2.94733i) q^{67} +(3.75702 + 0.408600i) q^{68} +(3.75750 + 2.26081i) q^{69} +(-10.7823 + 10.2135i) q^{70} +(0.919873 + 0.425578i) q^{71} +(-0.994138 + 0.108119i) q^{72} +(13.5676 - 4.57146i) q^{73} +(-0.0561875 - 0.141020i) q^{74} +(9.62310 + 9.11548i) q^{75} +(-0.591967 - 2.13207i) q^{76} +(8.93681 + 16.8566i) q^{77} +(2.66454 - 2.02553i) q^{78} +(-0.470574 - 8.67922i) q^{79} +(-4.04893 - 1.36425i) q^{80} +(0.976621 + 0.214970i) q^{81} +(0.987267 - 1.86218i) q^{82} +(-0.183915 - 1.12183i) q^{83} +(-2.25034 + 2.64931i) q^{84} +(-10.4532 - 12.3065i) q^{85} +(0.801032 - 4.88608i) q^{86} +(-2.80502 - 2.13232i) q^{87} +(-3.08021 + 4.54296i) q^{88} +(-5.68349 + 8.38252i) q^{89} +(3.40138 + 2.58566i) q^{90} +(1.88224 - 11.4811i) q^{91} +(2.83893 + 3.34224i) q^{92} +(-4.82021 + 5.67479i) q^{93} +(0.188753 + 1.15134i) q^{94} +(-4.42837 + 8.35279i) q^{95} +(-0.976621 - 0.214970i) q^{96} +(2.26637 + 0.763631i) q^{97} +(0.275182 + 5.07544i) q^{98} +(4.36954 - 3.32164i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 84q - 3q^{2} + 3q^{3} - 3q^{4} + 3q^{6} + q^{7} - 3q^{8} - 3q^{9} + O(q^{10}) \) \( 84q - 3q^{2} + 3q^{3} - 3q^{4} + 3q^{6} + q^{7} - 3q^{8} - 3q^{9} - 26q^{11} + 3q^{12} - 3q^{13} + q^{14} - 3q^{16} + 3q^{17} - 3q^{18} + 4q^{19} - q^{21} + 3q^{22} - 2q^{23} + 3q^{24} + 41q^{25} + 26q^{26} + 3q^{27} + q^{28} - 2q^{29} + 8q^{31} - 3q^{32} - 3q^{33} - 26q^{34} + 83q^{35} - 3q^{36} - 53q^{37} + 4q^{38} + 3q^{39} - 7q^{41} - q^{42} + 119q^{43} + 3q^{44} - 31q^{46} - 12q^{47} + 3q^{48} - 38q^{49} - 133q^{50} - 3q^{51} - 32q^{52} - 83q^{53} + 3q^{54} - 83q^{55} + q^{56} - 4q^{57} + 56q^{58} - 57q^{59} - 48q^{61} - 21q^{62} + q^{63} - 3q^{64} - 33q^{65} - 3q^{66} - 88q^{67} - 26q^{68} + 89q^{69} - 62q^{70} - 35q^{71} - 3q^{72} - 71q^{73} - 24q^{74} + 17q^{75} + 33q^{76} + 113q^{77} + 3q^{78} - 5q^{79} - 3q^{81} - 7q^{82} - 51q^{83} - q^{84} + 125q^{85} + 61q^{86} + 31q^{87} + 32q^{88} - 58q^{89} + 173q^{91} - 2q^{92} + 21q^{93} + 17q^{94} + 26q^{95} + 3q^{96} + 20q^{98} + 3q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{9}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.561187 0.827689i −0.396819 0.585265i
\(3\) −0.0541389 + 0.998533i −0.0312571 + 0.576504i
\(4\) −0.370138 + 0.928977i −0.185069 + 0.464488i
\(5\) 3.87770 1.79401i 1.73416 0.802308i 0.743054 0.669232i \(-0.233377\pi\)
0.991106 0.133076i \(-0.0424855\pi\)
\(6\) 0.856857 0.515554i 0.349810 0.210474i
\(7\) 0.929941 3.34934i 0.351485 1.26593i −0.550744 0.834674i \(-0.685656\pi\)
0.902228 0.431259i \(-0.141930\pi\)
\(8\) 0.976621 0.214970i 0.345288 0.0760035i
\(9\) −0.994138 0.108119i −0.331379 0.0360397i
\(10\) −3.66100 2.20275i −1.15771 0.696571i
\(11\) −3.98480 + 3.77460i −1.20146 + 1.13808i −0.214568 + 0.976709i \(0.568834\pi\)
−0.986893 + 0.161376i \(0.948407\pi\)
\(12\) −0.907575 0.419889i −0.261994 0.121212i
\(13\) 3.32740 0.361877i 0.922856 0.100367i 0.365661 0.930748i \(-0.380843\pi\)
0.557195 + 0.830382i \(0.311878\pi\)
\(14\) −3.29409 + 1.10991i −0.880381 + 0.296635i
\(15\) 1.58145 + 3.96914i 0.408328 + 1.02483i
\(16\) −0.725995 0.687699i −0.181499 0.171925i
\(17\) −1.01103 3.64142i −0.245212 0.883174i −0.979011 0.203807i \(-0.934668\pi\)
0.733799 0.679367i \(-0.237745\pi\)
\(18\) 0.468408 + 0.883512i 0.110405 + 0.208246i
\(19\) −1.76154 + 1.33909i −0.404124 + 0.307207i −0.787418 0.616419i \(-0.788583\pi\)
0.383294 + 0.923626i \(0.374790\pi\)
\(20\) 0.231313 + 4.26633i 0.0517233 + 0.953979i
\(21\) 3.29409 + 1.10991i 0.718828 + 0.242202i
\(22\) 5.36041 + 1.17992i 1.14284 + 0.251559i
\(23\) 2.05407 3.87439i 0.428304 0.807866i −0.571616 0.820521i \(-0.693683\pi\)
0.999920 + 0.0126548i \(0.00402825\pi\)
\(24\) 0.161782 + 0.986827i 0.0330236 + 0.201435i
\(25\) 8.58113 10.1025i 1.71623 2.02050i
\(26\) −2.16682 2.55098i −0.424948 0.500287i
\(27\) 0.161782 0.986827i 0.0311350 0.189915i
\(28\) 2.76726 + 2.10361i 0.522962 + 0.397546i
\(29\) −1.97733 + 2.91635i −0.367181 + 0.541552i −0.965735 0.259531i \(-0.916432\pi\)
0.598554 + 0.801083i \(0.295742\pi\)
\(30\) 2.39772 3.53638i 0.437762 0.645651i
\(31\) 5.92743 + 4.50591i 1.06460 + 0.809286i 0.982299 0.187322i \(-0.0599807\pi\)
0.0822988 + 0.996608i \(0.473774\pi\)
\(32\) −0.161782 + 0.986827i −0.0285993 + 0.174448i
\(33\) −3.55333 4.18330i −0.618556 0.728220i
\(34\) −2.44658 + 2.88034i −0.419585 + 0.493974i
\(35\) −2.40274 14.6561i −0.406137 2.47733i
\(36\) 0.468408 0.883512i 0.0780681 0.147252i
\(37\) 0.148253 + 0.0326328i 0.0243726 + 0.00536481i 0.227140 0.973862i \(-0.427063\pi\)
−0.202767 + 0.979227i \(0.564994\pi\)
\(38\) 2.09690 + 0.706527i 0.340162 + 0.114614i
\(39\) 0.181204 + 3.34212i 0.0290159 + 0.535167i
\(40\) 3.40138 2.58566i 0.537805 0.408829i
\(41\) 0.987267 + 1.86218i 0.154185 + 0.290824i 0.948556 0.316609i \(-0.102544\pi\)
−0.794371 + 0.607433i \(0.792199\pi\)
\(42\) −0.929941 3.34934i −0.143493 0.516815i
\(43\) 3.59462 + 3.40501i 0.548175 + 0.519259i 0.910894 0.412639i \(-0.135393\pi\)
−0.362719 + 0.931898i \(0.618152\pi\)
\(44\) −2.03159 5.09891i −0.306274 0.768689i
\(45\) −4.04893 + 1.36425i −0.603580 + 0.203370i
\(46\) −4.35951 + 0.474125i −0.642775 + 0.0699059i
\(47\) −1.05888 0.489889i −0.154453 0.0714577i 0.341140 0.940013i \(-0.389187\pi\)
−0.495593 + 0.868555i \(0.665049\pi\)
\(48\) 0.725995 0.687699i 0.104788 0.0992609i
\(49\) −4.35531 2.62051i −0.622188 0.374358i
\(50\) −13.1773 1.43312i −1.86356 0.202674i
\(51\) 3.69081 0.812410i 0.516817 0.113760i
\(52\) −0.895424 + 3.22503i −0.124173 + 0.447231i
\(53\) −9.25688 + 5.56968i −1.27153 + 0.765054i −0.981408 0.191935i \(-0.938524\pi\)
−0.290123 + 0.956989i \(0.593696\pi\)
\(54\) −0.907575 + 0.419889i −0.123505 + 0.0571397i
\(55\) −8.68015 + 21.7855i −1.17043 + 2.93756i
\(56\) 0.188189 3.47095i 0.0251479 0.463825i
\(57\) −1.24175 1.83145i −0.164474 0.242581i
\(58\) 3.52348 0.462656
\(59\) −7.65368 + 0.649018i −0.996424 + 0.0844949i
\(60\) −4.27259 −0.551589
\(61\) 3.52729 + 5.20237i 0.451624 + 0.666095i 0.983538 0.180703i \(-0.0578373\pi\)
−0.531914 + 0.846798i \(0.678527\pi\)
\(62\) 0.403099 7.43473i 0.0511936 0.944211i
\(63\) −1.28662 + 3.22917i −0.162099 + 0.406837i
\(64\) 0.907575 0.419889i 0.113447 0.0524861i
\(65\) 12.2535 7.37266i 1.51985 0.914466i
\(66\) −1.46839 + 5.28867i −0.180747 + 0.650990i
\(67\) −13.3899 + 2.94733i −1.63583 + 0.360074i −0.935386 0.353629i \(-0.884947\pi\)
−0.700448 + 0.713703i \(0.747016\pi\)
\(68\) 3.75702 + 0.408600i 0.455605 + 0.0495500i
\(69\) 3.75750 + 2.26081i 0.452350 + 0.272170i
\(70\) −10.7823 + 10.2135i −1.28873 + 1.22075i
\(71\) 0.919873 + 0.425578i 0.109169 + 0.0505069i 0.473713 0.880679i \(-0.342913\pi\)
−0.364545 + 0.931186i \(0.618775\pi\)
\(72\) −0.994138 + 0.108119i −0.117160 + 0.0127419i
\(73\) 13.5676 4.57146i 1.58797 0.535049i 0.619674 0.784859i \(-0.287265\pi\)
0.968295 + 0.249810i \(0.0803682\pi\)
\(74\) −0.0561875 0.141020i −0.00653167 0.0163933i
\(75\) 9.62310 + 9.11548i 1.11118 + 1.05257i
\(76\) −0.591967 2.13207i −0.0679033 0.244566i
\(77\) 8.93681 + 16.8566i 1.01844 + 1.92099i
\(78\) 2.66454 2.02553i 0.301700 0.229346i
\(79\) −0.470574 8.67922i −0.0529437 0.976489i −0.897498 0.441019i \(-0.854617\pi\)
0.844554 0.535470i \(-0.179866\pi\)
\(80\) −4.04893 1.36425i −0.452685 0.152527i
\(81\) 0.976621 + 0.214970i 0.108513 + 0.0238856i
\(82\) 0.987267 1.86218i 0.109025 0.205644i
\(83\) −0.183915 1.12183i −0.0201873 0.123137i 0.974810 0.223035i \(-0.0715965\pi\)
−0.994998 + 0.0998983i \(0.968148\pi\)
\(84\) −2.25034 + 2.64931i −0.245533 + 0.289063i
\(85\) −10.4532 12.3065i −1.13381 1.33483i
\(86\) 0.801032 4.88608i 0.0863775 0.526879i
\(87\) −2.80502 2.13232i −0.300729 0.228609i
\(88\) −3.08021 + 4.54296i −0.328351 + 0.484282i
\(89\) −5.68349 + 8.38252i −0.602449 + 0.888545i −0.999573 0.0292196i \(-0.990698\pi\)
0.397124 + 0.917765i \(0.370008\pi\)
\(90\) 3.40138 + 2.58566i 0.358537 + 0.272553i
\(91\) 1.88224 11.4811i 0.197312 1.20355i
\(92\) 2.83893 + 3.34224i 0.295979 + 0.348453i
\(93\) −4.82021 + 5.67479i −0.499832 + 0.588448i
\(94\) 0.188753 + 1.15134i 0.0194684 + 0.118752i
\(95\) −4.42837 + 8.35279i −0.454341 + 0.856978i
\(96\) −0.976621 0.214970i −0.0996759 0.0219403i
\(97\) 2.26637 + 0.763631i 0.230115 + 0.0775349i 0.431997 0.901875i \(-0.357809\pi\)
−0.201882 + 0.979410i \(0.564706\pi\)
\(98\) 0.275182 + 5.07544i 0.0277976 + 0.512697i
\(99\) 4.36954 3.32164i 0.439156 0.333837i
\(100\) 6.20877 + 11.7110i 0.620877 + 1.17110i
\(101\) 1.79304 + 6.45793i 0.178414 + 0.642588i 0.997611 + 0.0690767i \(0.0220053\pi\)
−0.819198 + 0.573511i \(0.805581\pi\)
\(102\) −2.74366 2.59893i −0.271663 0.257333i
\(103\) 5.38887 + 13.5250i 0.530981 + 1.33266i 0.912793 + 0.408422i \(0.133921\pi\)
−0.381812 + 0.924240i \(0.624700\pi\)
\(104\) 3.17182 1.06871i 0.311022 0.104796i
\(105\) 14.7647 1.60575i 1.44088 0.156706i
\(106\) 9.80480 + 4.53619i 0.952327 + 0.440593i
\(107\) −7.97870 + 7.55782i −0.771330 + 0.730642i −0.968306 0.249766i \(-0.919646\pi\)
0.196976 + 0.980408i \(0.436888\pi\)
\(108\) 0.856857 + 0.515554i 0.0824511 + 0.0496092i
\(109\) −17.7347 1.92876i −1.69867 0.184742i −0.793147 0.609030i \(-0.791559\pi\)
−0.905527 + 0.424289i \(0.860524\pi\)
\(110\) 22.9028 5.04130i 2.18370 0.480669i
\(111\) −0.0406112 + 0.146268i −0.00385465 + 0.0138832i
\(112\) −2.97847 + 1.79209i −0.281439 + 0.169336i
\(113\) −8.85280 + 4.09574i −0.832801 + 0.385295i −0.789488 0.613767i \(-0.789654\pi\)
−0.0433138 + 0.999062i \(0.513792\pi\)
\(114\) −0.819015 + 2.05557i −0.0767078 + 0.192522i
\(115\) 1.01436 18.7088i 0.0945895 1.74460i
\(116\) −1.97733 2.91635i −0.183591 0.270776i
\(117\) −3.34702 −0.309433
\(118\) 4.83233 + 5.97064i 0.444852 + 0.549642i
\(119\) −13.1366 −1.20423
\(120\) 2.39772 + 3.53638i 0.218881 + 0.322826i
\(121\) 1.03547 19.0982i 0.0941338 1.73620i
\(122\) 2.32647 5.83901i 0.210629 0.528639i
\(123\) −1.91290 + 0.885002i −0.172480 + 0.0797980i
\(124\) −6.37986 + 3.83863i −0.572928 + 0.344719i
\(125\) 9.43583 33.9848i 0.843967 3.03969i
\(126\) 3.39478 0.747247i 0.302431 0.0665701i
\(127\) 2.45935 + 0.267470i 0.218232 + 0.0237342i 0.216582 0.976264i \(-0.430509\pi\)
0.00165023 + 0.999999i \(0.499475\pi\)
\(128\) −0.856857 0.515554i −0.0757362 0.0455690i
\(129\) −3.59462 + 3.40501i −0.316489 + 0.299794i
\(130\) −12.9788 6.00461i −1.13831 0.526639i
\(131\) −4.06609 + 0.442214i −0.355256 + 0.0386364i −0.284007 0.958822i \(-0.591664\pi\)
−0.0712489 + 0.997459i \(0.522698\pi\)
\(132\) 5.20142 1.75256i 0.452725 0.152541i
\(133\) 2.84693 + 7.14526i 0.246860 + 0.619573i
\(134\) 9.95370 + 9.42865i 0.859869 + 0.814511i
\(135\) −1.14304 4.11686i −0.0983772 0.354323i
\(136\) −1.77019 3.33894i −0.151793 0.286312i
\(137\) −9.36350 + 7.11795i −0.799978 + 0.608127i −0.923230 0.384248i \(-0.874461\pi\)
0.123252 + 0.992375i \(0.460668\pi\)
\(138\) −0.237411 4.37878i −0.0202097 0.372747i
\(139\) 1.46813 + 0.494671i 0.124525 + 0.0419575i 0.380874 0.924627i \(-0.375623\pi\)
−0.256349 + 0.966584i \(0.582520\pi\)
\(140\) 14.5045 + 3.19268i 1.22585 + 0.269831i
\(141\) 0.546497 1.03080i 0.0460234 0.0868093i
\(142\) −0.163974 1.00020i −0.0137604 0.0839347i
\(143\) −11.8931 + 14.0016i −0.994550 + 1.17087i
\(144\) 0.647386 + 0.762162i 0.0539489 + 0.0635135i
\(145\) −2.43553 + 14.8561i −0.202260 + 1.23373i
\(146\) −11.3977 8.66432i −0.943282 0.717064i
\(147\) 2.85245 4.20706i 0.235266 0.346992i
\(148\) −0.0851891 + 0.125644i −0.00700250 + 0.0103279i
\(149\) 8.38174 + 6.37164i 0.686659 + 0.521985i 0.889332 0.457262i \(-0.151170\pi\)
−0.202673 + 0.979246i \(0.564963\pi\)
\(150\) 2.14443 13.0804i 0.175092 1.06801i
\(151\) −1.99065 2.34358i −0.161997 0.190718i 0.675175 0.737658i \(-0.264068\pi\)
−0.837172 + 0.546940i \(0.815792\pi\)
\(152\) −1.43249 + 1.68646i −0.116190 + 0.136790i
\(153\) 0.611402 + 3.72938i 0.0494289 + 0.301503i
\(154\) 8.93681 16.8566i 0.720148 1.35834i
\(155\) 31.0685 + 6.83868i 2.49548 + 0.549296i
\(156\) −3.17182 1.06871i −0.253949 0.0855653i
\(157\) −0.481176 8.87478i −0.0384021 0.708284i −0.952824 0.303523i \(-0.901837\pi\)
0.914422 0.404762i \(-0.132646\pi\)
\(158\) −6.91962 + 5.26016i −0.550495 + 0.418476i
\(159\) −5.06035 9.54484i −0.401312 0.756955i
\(160\) 1.14304 + 4.11686i 0.0903652 + 0.325466i
\(161\) −11.0665 10.4827i −0.872162 0.826156i
\(162\) −0.370138 0.928977i −0.0290808 0.0729873i
\(163\) −14.5376 + 4.89829i −1.13867 + 0.383664i −0.824590 0.565732i \(-0.808594\pi\)
−0.314084 + 0.949395i \(0.601697\pi\)
\(164\) −2.09535 + 0.227883i −0.163619 + 0.0177947i
\(165\) −21.2837 9.84687i −1.65693 0.766578i
\(166\) −0.825317 + 0.781782i −0.0640570 + 0.0606780i
\(167\) 21.6745 + 13.0411i 1.67723 + 1.00915i 0.944433 + 0.328703i \(0.106612\pi\)
0.732794 + 0.680451i \(0.238216\pi\)
\(168\) 3.45567 + 0.375827i 0.266611 + 0.0289957i
\(169\) −1.75540 + 0.386394i −0.135031 + 0.0297226i
\(170\) −4.31974 + 15.5583i −0.331309 + 1.19327i
\(171\) 1.89599 1.14078i 0.144990 0.0872376i
\(172\) −4.49368 + 2.07900i −0.342640 + 0.158522i
\(173\) 5.56576 13.9690i 0.423157 1.06204i −0.550664 0.834727i \(-0.685625\pi\)
0.973821 0.227317i \(-0.0729952\pi\)
\(174\) −0.190757 + 3.51831i −0.0144613 + 0.266723i
\(175\) −25.8568 38.1359i −1.95459 2.88280i
\(176\) 5.48873 0.413729
\(177\) −0.233704 7.67759i −0.0175663 0.577083i
\(178\) 10.1276 0.759097
\(179\) −8.08379 11.9227i −0.604211 0.891144i 0.395415 0.918503i \(-0.370601\pi\)
−0.999626 + 0.0273586i \(0.991290\pi\)
\(180\) 0.231313 4.26633i 0.0172411 0.317993i
\(181\) −5.46293 + 13.7109i −0.406056 + 1.01912i 0.573724 + 0.819049i \(0.305498\pi\)
−0.979780 + 0.200076i \(0.935881\pi\)
\(182\) −10.5591 + 4.88516i −0.782693 + 0.362112i
\(183\) −5.38571 + 3.24047i −0.398123 + 0.239543i
\(184\) 1.17317 4.22537i 0.0864872 0.311499i
\(185\) 0.633422 0.139427i 0.0465701 0.0102509i
\(186\) 7.40200 + 0.805016i 0.542741 + 0.0590266i
\(187\) 17.7737 + 10.6941i 1.29974 + 0.782027i
\(188\) 0.847027 0.802346i 0.0617758 0.0585171i
\(189\) −3.15477 1.45955i −0.229476 0.106167i
\(190\) 9.39866 1.02217i 0.681850 0.0741557i
\(191\) 14.2470 4.80036i 1.03087 0.347342i 0.247497 0.968889i \(-0.420392\pi\)
0.783377 + 0.621546i \(0.213495\pi\)
\(192\) 0.370138 + 0.928977i 0.0267124 + 0.0670431i
\(193\) 2.03029 + 1.92320i 0.146144 + 0.138435i 0.757279 0.653091i \(-0.226528\pi\)
−0.611135 + 0.791526i \(0.709287\pi\)
\(194\) −0.639812 2.30439i −0.0459358 0.165446i
\(195\) 6.69846 + 12.6346i 0.479687 + 0.904785i
\(196\) 4.04646 3.07604i 0.289033 0.219717i
\(197\) −1.10546 20.3891i −0.0787610 1.45266i −0.724590 0.689180i \(-0.757971\pi\)
0.645829 0.763482i \(-0.276512\pi\)
\(198\) −5.20142 1.75256i −0.369649 0.124549i
\(199\) 4.16803 + 0.917454i 0.295464 + 0.0650366i 0.360229 0.932864i \(-0.382699\pi\)
−0.0647647 + 0.997901i \(0.520630\pi\)
\(200\) 6.20877 11.7110i 0.439026 0.828092i
\(201\) −2.21810 13.5298i −0.156453 0.954319i
\(202\) 4.33893 5.10818i 0.305286 0.359410i
\(203\) 7.92904 + 9.33479i 0.556510 + 0.655174i
\(204\) −0.611402 + 3.72938i −0.0428067 + 0.261109i
\(205\) 7.16911 + 5.44981i 0.500712 + 0.380631i
\(206\) 8.17036 12.0504i 0.569256 0.839590i
\(207\) −2.46093 + 3.62959i −0.171046 + 0.252274i
\(208\) −2.66454 2.02553i −0.184753 0.140445i
\(209\) 1.96485 11.9851i 0.135912 0.829025i
\(210\) −9.61480 11.3194i −0.663484 0.781114i
\(211\) 1.93437 2.27732i 0.133168 0.156777i −0.691536 0.722342i \(-0.743066\pi\)
0.824704 + 0.565565i \(0.191342\pi\)
\(212\) −1.74778 10.6610i −0.120038 0.732199i
\(213\) −0.474755 + 0.895483i −0.0325297 + 0.0613575i
\(214\) 10.7331 + 2.36253i 0.733698 + 0.161499i
\(215\) 20.0475 + 6.75479i 1.36723 + 0.460673i
\(216\) −0.0541389 0.998533i −0.00368369 0.0679416i
\(217\) 20.6040 15.6628i 1.39869 1.06326i
\(218\) 8.35606 + 15.7612i 0.565943 + 1.06748i
\(219\) 3.83022 + 13.7952i 0.258822 + 0.932194i
\(220\) −17.0254 16.1273i −1.14785 1.08730i
\(221\) −4.68187 11.7506i −0.314936 0.790431i
\(222\) 0.143855 0.0484705i 0.00965493 0.00325312i
\(223\) 11.3374 1.23301i 0.759206 0.0825686i 0.279676 0.960094i \(-0.409773\pi\)
0.479530 + 0.877526i \(0.340807\pi\)
\(224\) 3.15477 + 1.45955i 0.210787 + 0.0975205i
\(225\) −9.62310 + 9.11548i −0.641540 + 0.607699i
\(226\) 8.35808 + 5.02889i 0.555971 + 0.334517i
\(227\) 5.20924 + 0.566539i 0.345749 + 0.0376025i 0.279346 0.960190i \(-0.409882\pi\)
0.0664029 + 0.997793i \(0.478848\pi\)
\(228\) 2.16099 0.475671i 0.143115 0.0315021i
\(229\) −2.50170 + 9.01029i −0.165317 + 0.595417i 0.833747 + 0.552147i \(0.186191\pi\)
−0.999063 + 0.0432699i \(0.986222\pi\)
\(230\) −16.0543 + 9.65954i −1.05859 + 0.636931i
\(231\) −17.3157 + 8.01110i −1.13929 + 0.527092i
\(232\) −1.30417 + 3.27323i −0.0856232 + 0.214898i
\(233\) −0.829237 + 15.2944i −0.0543251 + 1.00197i 0.836599 + 0.547816i \(0.184541\pi\)
−0.890924 + 0.454152i \(0.849942\pi\)
\(234\) 1.87831 + 2.77030i 0.122789 + 0.181100i
\(235\) −4.98488 −0.325178
\(236\) 2.23000 7.35031i 0.145160 0.478465i
\(237\) 8.69197 0.564604
\(238\) 7.37207 + 10.8730i 0.477860 + 0.704791i
\(239\) 1.54589 28.5123i 0.0999956 1.84431i −0.333015 0.942921i \(-0.608066\pi\)
0.433011 0.901389i \(-0.357451\pi\)
\(240\) 1.58145 3.96914i 0.102082 0.256207i
\(241\) 19.8807 9.19779i 1.28063 0.592482i 0.342743 0.939429i \(-0.388644\pi\)
0.937885 + 0.346948i \(0.112782\pi\)
\(242\) −16.3884 + 9.86059i −1.05349 + 0.633863i
\(243\) −0.267528 + 0.963550i −0.0171620 + 0.0618118i
\(244\) −6.13847 + 1.35118i −0.392975 + 0.0865004i
\(245\) −21.5898 2.34803i −1.37932 0.150010i
\(246\) 1.80600 + 1.08664i 0.115146 + 0.0692813i
\(247\) −5.37676 + 5.09314i −0.342115 + 0.324069i
\(248\) 6.75749 + 3.12635i 0.429101 + 0.198523i
\(249\) 1.13014 0.122910i 0.0716199 0.00778914i
\(250\) −33.4241 + 11.2619i −2.11393 + 0.712265i
\(251\) 4.40648 + 11.0594i 0.278135 + 0.698065i 0.999982 + 0.00601276i \(0.00191393\pi\)
−0.721847 + 0.692052i \(0.756707\pi\)
\(252\) −2.52359 2.39047i −0.158971 0.150586i
\(253\) 6.43921 + 23.1920i 0.404830 + 1.45807i
\(254\) −1.15877 2.18568i −0.0727079 0.137142i
\(255\) 12.8544 9.77166i 0.804973 0.611925i
\(256\) 0.0541389 + 0.998533i 0.00338368 + 0.0624083i
\(257\) −20.1114 6.77633i −1.25452 0.422696i −0.387914 0.921696i \(-0.626804\pi\)
−0.866602 + 0.499000i \(0.833701\pi\)
\(258\) 4.83554 + 1.06438i 0.301048 + 0.0662656i
\(259\) 0.247165 0.466202i 0.0153581 0.0289684i
\(260\) 2.31356 + 14.1121i 0.143481 + 0.875194i
\(261\) 2.28105 2.68546i 0.141194 0.166226i
\(262\) 2.64785 + 3.11729i 0.163585 + 0.192587i
\(263\) 1.01727 6.20507i 0.0627275 0.382621i −0.936741 0.350023i \(-0.886174\pi\)
0.999469 0.0325978i \(-0.0103780\pi\)
\(264\) −4.36954 3.32164i −0.268927 0.204433i
\(265\) −25.9033 + 38.2045i −1.59123 + 2.34688i
\(266\) 4.31639 6.36620i 0.264655 0.390337i
\(267\) −8.06253 6.12897i −0.493419 0.375087i
\(268\) 2.21810 13.5298i 0.135492 0.826464i
\(269\) 18.8265 + 22.1642i 1.14787 + 1.35138i 0.926548 + 0.376177i \(0.122762\pi\)
0.221323 + 0.975201i \(0.428962\pi\)
\(270\) −2.76602 + 3.25641i −0.168334 + 0.198179i
\(271\) −0.682019 4.16013i −0.0414297 0.252710i 0.957989 0.286805i \(-0.0925933\pi\)
−0.999419 + 0.0340953i \(0.989145\pi\)
\(272\) −1.77019 + 3.33894i −0.107334 + 0.202453i
\(273\) 11.3624 + 2.50105i 0.687684 + 0.151371i
\(274\) 11.1461 + 3.75557i 0.673362 + 0.226882i
\(275\) 3.93879 + 72.6467i 0.237518 + 4.38076i
\(276\) −3.49104 + 2.65382i −0.210136 + 0.159741i
\(277\) 0.104927 + 0.197913i 0.00630445 + 0.0118915i 0.886644 0.462452i \(-0.153030\pi\)
−0.880340 + 0.474344i \(0.842685\pi\)
\(278\) −0.414463 1.49276i −0.0248578 0.0895298i
\(279\) −5.40551 5.12037i −0.323619 0.306548i
\(280\) −5.49719 13.7969i −0.328520 0.824523i
\(281\) 0.0336022 0.0113219i 0.00200454 0.000675408i −0.318299 0.947990i \(-0.603112\pi\)
0.320304 + 0.947315i \(0.396215\pi\)
\(282\) −1.15987 + 0.126144i −0.0690693 + 0.00751174i
\(283\) −8.39524 3.88405i −0.499045 0.230883i 0.154185 0.988042i \(-0.450725\pi\)
−0.653231 + 0.757159i \(0.726587\pi\)
\(284\) −0.735832 + 0.697017i −0.0436636 + 0.0413604i
\(285\) −8.10080 4.87409i −0.479850 0.288716i
\(286\) 18.2632 + 1.98625i 1.07993 + 0.117449i
\(287\) 7.15519 1.57498i 0.422357 0.0929679i
\(288\) 0.267528 0.963550i 0.0157643 0.0567777i
\(289\) 2.32883 1.40121i 0.136990 0.0824243i
\(290\) 13.6630 6.32117i 0.802319 0.371192i
\(291\) −0.885210 + 2.22171i −0.0518919 + 0.130239i
\(292\) −0.775110 + 14.2961i −0.0453599 + 0.836614i
\(293\) −6.88932 10.1610i −0.402479 0.593611i 0.571403 0.820670i \(-0.306399\pi\)
−0.973881 + 0.227058i \(0.927089\pi\)
\(294\) −5.08289 −0.296440
\(295\) −28.5143 + 16.2475i −1.66017 + 0.945966i
\(296\) 0.151802 0.00882329
\(297\) 3.08021 + 4.54296i 0.178732 + 0.263610i
\(298\) 0.570007 10.5132i 0.0330196 0.609011i
\(299\) 5.43267 13.6350i 0.314180 0.788532i
\(300\) −12.0299 + 5.56565i −0.694549 + 0.321333i
\(301\) 14.7473 8.87318i 0.850022 0.511441i
\(302\) −0.822625 + 2.96283i −0.0473368 + 0.170492i
\(303\) −6.54553 + 1.44078i −0.376031 + 0.0827707i
\(304\) 2.19976 + 0.239238i 0.126165 + 0.0137212i
\(305\) 23.0109 + 13.8452i 1.31760 + 0.792774i
\(306\) 2.74366 2.59893i 0.156845 0.148571i
\(307\) −19.9378 9.22422i −1.13791 0.526454i −0.241820 0.970321i \(-0.577744\pi\)
−0.896093 + 0.443867i \(0.853606\pi\)
\(308\) −18.9672 + 2.06281i −1.08076 + 0.117540i
\(309\) −13.7970 + 4.64873i −0.784881 + 0.264457i
\(310\) −11.7749 29.5528i −0.668770 1.67849i
\(311\) −17.7061 16.7721i −1.00402 0.951058i −0.00521769 0.999986i \(-0.501661\pi\)
−0.998802 + 0.0489281i \(0.984419\pi\)
\(312\) 0.895424 + 3.22503i 0.0506934 + 0.182581i
\(313\) −1.60547 3.02824i −0.0907467 0.171166i 0.833984 0.551789i \(-0.186055\pi\)
−0.924731 + 0.380622i \(0.875710\pi\)
\(314\) −7.07552 + 5.37867i −0.399295 + 0.303536i
\(315\) 0.804056 + 14.8299i 0.0453034 + 0.835573i
\(316\) 8.23697 + 2.77536i 0.463366 + 0.156126i
\(317\) 28.6993 + 6.31719i 1.61191 + 0.354809i 0.927364 0.374159i \(-0.122069\pi\)
0.684548 + 0.728968i \(0.260000\pi\)
\(318\) −5.06035 + 9.54484i −0.283771 + 0.535248i
\(319\) −3.12877 19.0847i −0.175178 1.06854i
\(320\) 2.76602 3.25641i 0.154625 0.182039i
\(321\) −7.11478 8.37617i −0.397108 0.467512i
\(322\) −2.46608 + 15.0424i −0.137429 + 0.838280i
\(323\) 6.65715 + 5.06063i 0.370413 + 0.281581i
\(324\) −0.561187 + 0.827689i −0.0311771 + 0.0459827i
\(325\) 24.8970 36.7204i 1.38104 2.03688i
\(326\) 12.2126 + 9.28376i 0.676392 + 0.514180i
\(327\) 2.88607 17.6042i 0.159600 0.973517i
\(328\) 1.36450 + 1.60641i 0.0753419 + 0.0886993i
\(329\) −2.62550 + 3.09098i −0.144749 + 0.170411i
\(330\) 3.79397 + 23.1422i 0.208851 + 1.27394i
\(331\) −14.8263 + 27.9654i −0.814929 + 1.53712i 0.0283209 + 0.999599i \(0.490984\pi\)
−0.843250 + 0.537521i \(0.819361\pi\)
\(332\) 1.11023 + 0.244380i 0.0609318 + 0.0134121i
\(333\) −0.143855 0.0484705i −0.00788322 0.00265617i
\(334\) −1.36947 25.2583i −0.0749338 1.38207i
\(335\) −46.6343 + 35.4505i −2.54791 + 1.93687i
\(336\) −1.62821 3.07113i −0.0888261 0.167544i
\(337\) −9.20511 33.1538i −0.501435 1.80600i −0.586896 0.809662i \(-0.699650\pi\)
0.0854614 0.996341i \(-0.472764\pi\)
\(338\) 1.30492 + 1.23609i 0.0709785 + 0.0672344i
\(339\) −3.61045 9.06156i −0.196093 0.492156i
\(340\) 15.3016 5.15571i 0.829846 0.279608i
\(341\) −40.6276 + 4.41852i −2.20011 + 0.239276i
\(342\) −2.00822 0.929100i −0.108592 0.0502400i
\(343\) 4.83800 4.58279i 0.261227 0.247448i
\(344\) 4.24256 + 2.55266i 0.228744 + 0.137630i
\(345\) 18.6264 + 2.02574i 1.00281 + 0.109062i
\(346\) −14.6854 + 3.23251i −0.789493 + 0.173781i
\(347\) 2.68031 9.65362i 0.143887 0.518233i −0.856112 0.516790i \(-0.827127\pi\)
0.999999 0.00144332i \(-0.000459423\pi\)
\(348\) 3.01912 1.81654i 0.161842 0.0973770i
\(349\) −8.53790 + 3.95006i −0.457024 + 0.211442i −0.634874 0.772616i \(-0.718948\pi\)
0.177850 + 0.984058i \(0.443086\pi\)
\(350\) −17.0542 + 42.8027i −0.911583 + 2.28790i
\(351\) 0.181204 3.34212i 0.00967197 0.178389i
\(352\) −3.08021 4.54296i −0.164176 0.242141i
\(353\) 4.89169 0.260358 0.130179 0.991490i \(-0.458445\pi\)
0.130179 + 0.991490i \(0.458445\pi\)
\(354\) −6.22350 + 4.50200i −0.330776 + 0.239279i
\(355\) 4.33048 0.229838
\(356\) −5.68349 8.38252i −0.301224 0.444273i
\(357\) 0.711199 13.1173i 0.0376407 0.694241i
\(358\) −5.33177 + 13.3817i −0.281793 + 0.707246i
\(359\) 17.7347 8.20497i 0.936004 0.433041i 0.108244 0.994124i \(-0.465477\pi\)
0.827760 + 0.561083i \(0.189615\pi\)
\(360\) −3.66100 + 2.20275i −0.192952 + 0.116095i
\(361\) −3.77318 + 13.5898i −0.198588 + 0.715250i
\(362\) 14.4141 3.17278i 0.757588 0.166758i
\(363\) 19.0141 + 2.06791i 0.997981 + 0.108537i
\(364\) 9.96903 + 5.99817i 0.522519 + 0.314389i
\(365\) 44.4099 42.0673i 2.32452 2.20190i
\(366\) 5.70449 + 2.63918i 0.298178 + 0.137952i
\(367\) −21.8473 + 2.37604i −1.14042 + 0.124028i −0.658776 0.752339i \(-0.728926\pi\)
−0.481644 + 0.876367i \(0.659960\pi\)
\(368\) −4.15566 + 1.40021i −0.216629 + 0.0729908i
\(369\) −0.780142 1.95801i −0.0406126 0.101930i
\(370\) −0.470871 0.446032i −0.0244794 0.0231881i
\(371\) 10.0464 + 36.1839i 0.521584 + 1.87858i
\(372\) −3.48760 6.57832i −0.180824 0.341070i
\(373\) 14.4022 10.9483i 0.745717 0.566880i −0.161835 0.986818i \(-0.551741\pi\)
0.907553 + 0.419938i \(0.137948\pi\)
\(374\) −1.12300 20.7124i −0.0580687 1.07101i
\(375\) 33.4241 + 11.2619i 1.72601 + 0.581562i
\(376\) −1.13943 0.250808i −0.0587618 0.0129345i
\(377\) −5.52402 + 10.4194i −0.284502 + 0.536627i
\(378\) 0.562362 + 3.43025i 0.0289248 + 0.176433i
\(379\) 10.1673 11.9698i 0.522258 0.614849i −0.436282 0.899810i \(-0.643705\pi\)
0.958539 + 0.284961i \(0.0919807\pi\)
\(380\) −6.12044 7.20554i −0.313972 0.369636i
\(381\) −0.400225 + 2.44126i −0.0205041 + 0.125070i
\(382\) −11.9684 9.09816i −0.612358 0.465502i
\(383\) −5.54937 + 8.18471i −0.283560 + 0.418219i −0.942618 0.333872i \(-0.891645\pi\)
0.659059 + 0.752091i \(0.270955\pi\)
\(384\) 0.561187 0.827689i 0.0286380 0.0422378i
\(385\) 64.8952 + 49.3321i 3.30737 + 2.51420i
\(386\) 0.452434 2.75972i 0.0230283 0.140466i
\(387\) −3.20541 3.77370i −0.162940 0.191828i
\(388\) −1.54827 + 1.82276i −0.0786013 + 0.0925366i
\(389\) 1.18334 + 7.21807i 0.0599978 + 0.365971i 0.999712 + 0.0240089i \(0.00764302\pi\)
−0.939714 + 0.341962i \(0.888909\pi\)
\(390\) 6.69846 12.6346i 0.339190 0.639780i
\(391\) −16.1850 3.56259i −0.818511 0.180168i
\(392\) −4.81682 1.62298i −0.243286 0.0819727i
\(393\) −0.221432 4.08407i −0.0111698 0.206014i
\(394\) −16.2554 + 12.3571i −0.818938 + 0.622540i
\(395\) −17.3954 32.8112i −0.875257 1.65091i
\(396\) 1.46839 + 5.28867i 0.0737895 + 0.265766i
\(397\) 2.25452 + 2.13560i 0.113151 + 0.107182i 0.742184 0.670196i \(-0.233790\pi\)
−0.629033 + 0.777379i \(0.716549\pi\)
\(398\) −1.57968 3.96470i −0.0791822 0.198732i
\(399\) −7.28891 + 2.45592i −0.364902 + 0.122950i
\(400\) −13.1773 + 1.43312i −0.658867 + 0.0716561i
\(401\) −20.8187 9.63178i −1.03964 0.480988i −0.175625 0.984457i \(-0.556195\pi\)
−0.864013 + 0.503469i \(0.832057\pi\)
\(402\) −9.95370 + 9.42865i −0.496446 + 0.470258i
\(403\) 21.3535 + 12.8480i 1.06370 + 0.640004i
\(404\) −6.66294 0.724638i −0.331493 0.0360521i
\(405\) 4.17270 0.918481i 0.207343 0.0456397i
\(406\) 3.27663 11.8013i 0.162616 0.585691i
\(407\) −0.713932 + 0.429559i −0.0353883 + 0.0212924i
\(408\) 3.42988 1.58683i 0.169804 0.0785599i
\(409\) 1.57836 3.96139i 0.0780449 0.195878i −0.884777 0.466014i \(-0.845689\pi\)
0.962822 + 0.270136i \(0.0870688\pi\)
\(410\) 0.487540 8.99215i 0.0240779 0.444091i
\(411\) −6.60058 9.73512i −0.325583 0.480198i
\(412\) −14.5591 −0.717274
\(413\) −4.94368 + 26.2383i −0.243263 + 1.29110i
\(414\) 4.38522 0.215522
\(415\) −2.72575 4.02018i −0.133802 0.197343i
\(416\) −0.181204 + 3.34212i −0.00888427 + 0.163861i
\(417\) −0.573429 + 1.43920i −0.0280809 + 0.0704778i
\(418\) −11.0226 + 5.09958i −0.539131 + 0.249429i
\(419\) 12.7797 7.68929i 0.624329 0.375647i −0.167958 0.985794i \(-0.553717\pi\)
0.792288 + 0.610148i \(0.208890\pi\)
\(420\) −3.97326 + 14.3104i −0.193875 + 0.698275i
\(421\) −29.5557 + 6.50571i −1.44046 + 0.317069i −0.865416 0.501055i \(-0.832946\pi\)
−0.575043 + 0.818123i \(0.695015\pi\)
\(422\) −2.97046 0.323057i −0.144600 0.0157261i
\(423\) 0.999704 + 0.601502i 0.0486073 + 0.0292460i
\(424\) −7.84314 + 7.42942i −0.380897 + 0.360804i
\(425\) −45.4632 21.0335i −2.20529 1.02028i
\(426\) 1.00761 0.109584i 0.0488188 0.00530936i
\(427\) 20.7047 6.97623i 1.00197 0.337603i
\(428\) −4.06782 10.2095i −0.196626 0.493493i
\(429\) −13.3372 12.6337i −0.643927 0.609960i
\(430\) −5.65953 20.3838i −0.272927 0.982994i
\(431\) 5.18291 + 9.77600i 0.249652 + 0.470893i 0.976388 0.216023i \(-0.0693087\pi\)
−0.726736 + 0.686916i \(0.758964\pi\)
\(432\) −0.796093 + 0.605174i −0.0383020 + 0.0291165i
\(433\) −0.433094 7.98794i −0.0208131 0.383876i −0.990319 0.138809i \(-0.955673\pi\)
0.969506 0.245067i \(-0.0788101\pi\)
\(434\) −24.5266 8.26397i −1.17731 0.396683i
\(435\) −14.7024 3.23625i −0.704927 0.155166i
\(436\) 8.35606 15.7612i 0.400182 0.754824i
\(437\) 1.56982 + 9.57546i 0.0750945 + 0.458056i
\(438\) 9.26867 10.9119i 0.442874 0.521392i
\(439\) −5.27670 6.21221i −0.251843 0.296493i 0.621684 0.783268i \(-0.286449\pi\)
−0.873527 + 0.486775i \(0.838173\pi\)
\(440\) −3.79397 + 23.1422i −0.180870 + 1.10326i
\(441\) 4.04646 + 3.07604i 0.192688 + 0.146478i
\(442\) −7.09844 + 10.4694i −0.337638 + 0.497979i
\(443\) 5.67029 8.36306i 0.269404 0.397341i −0.668790 0.743451i \(-0.733187\pi\)
0.938194 + 0.346111i \(0.112498\pi\)
\(444\) −0.120848 0.0918664i −0.00573520 0.00435979i
\(445\) −7.00050 + 42.7011i −0.331855 + 2.02423i
\(446\) −7.38293 8.69186i −0.349592 0.411572i
\(447\) −6.81607 + 8.02450i −0.322389 + 0.379546i
\(448\) −0.562362 3.43025i −0.0265691 0.162064i
\(449\) 4.45838 8.40940i 0.210404 0.396864i −0.755738 0.654874i \(-0.772722\pi\)
0.966142 + 0.258010i \(0.0830666\pi\)
\(450\) 12.9451 + 2.84944i 0.610240 + 0.134324i
\(451\) −10.9631 3.69388i −0.516230 0.173938i
\(452\) −0.528089 9.74003i −0.0248392 0.458133i
\(453\) 2.44791 1.86086i 0.115013 0.0874306i
\(454\) −2.45444 4.62956i −0.115193 0.217276i
\(455\) −13.2986 47.8972i −0.623447 2.24545i
\(456\) −1.60643 1.52169i −0.0752280 0.0712597i
\(457\) 10.7263 + 26.9210i 0.501755 + 1.25931i 0.933909 + 0.357511i \(0.116374\pi\)
−0.432154 + 0.901800i \(0.642246\pi\)
\(458\) 8.86164 2.98583i 0.414077 0.139519i
\(459\) −3.75702 + 0.408600i −0.175362 + 0.0190718i
\(460\) 17.0045 + 7.86714i 0.792841 + 0.366807i
\(461\) 18.2097 17.2492i 0.848111 0.803374i −0.134136 0.990963i \(-0.542826\pi\)
0.982248 + 0.187589i \(0.0600673\pi\)
\(462\) 16.3481 + 9.83630i 0.760580 + 0.457626i
\(463\) 41.3196 + 4.49378i 1.92028 + 0.208844i 0.988175 0.153332i \(-0.0490004\pi\)
0.932110 + 0.362175i \(0.117966\pi\)
\(464\) 3.44110 0.757444i 0.159749 0.0351635i
\(465\) −8.51067 + 30.6527i −0.394673 + 1.42148i
\(466\) 13.1243 7.89666i 0.607974 0.365806i
\(467\) 20.7104 9.58166i 0.958364 0.443386i 0.122588 0.992458i \(-0.460881\pi\)
0.835775 + 0.549071i \(0.185019\pi\)
\(468\) 1.23886 3.10931i 0.0572664 0.143728i
\(469\) −2.58015 + 47.5881i −0.119140 + 2.19742i
\(470\) 2.79745 + 4.12593i 0.129037 + 0.190315i
\(471\) 8.88781 0.409529
\(472\) −7.33522 + 2.27916i −0.337631 + 0.104907i
\(473\) −27.1764 −1.24957
\(474\) −4.87782 7.19425i −0.224046 0.330443i
\(475\) −1.58788 + 29.2868i −0.0728570 + 1.34377i
\(476\) 4.86234 12.2036i 0.222865 0.559349i
\(477\) 9.80480 4.53619i 0.448931 0.207698i
\(478\) −24.4669 + 14.7212i −1.11909 + 0.673334i
\(479\) 5.67350 20.4341i 0.259229 0.933657i −0.713297 0.700862i \(-0.752799\pi\)
0.972526 0.232795i \(-0.0747873\pi\)
\(480\) −4.17270 + 0.918481i −0.190457 + 0.0419227i
\(481\) 0.505105 + 0.0549335i 0.0230308 + 0.00250475i
\(482\) −18.7697 11.2933i −0.854936 0.514398i
\(483\) 11.0665 10.4827i 0.503543 0.476981i
\(484\) 17.3585 + 8.03088i 0.789021 + 0.365040i
\(485\) 10.1583 1.10478i 0.461264 0.0501655i
\(486\) 0.947653 0.319302i 0.0429864 0.0144838i
\(487\) −10.0508 25.2256i −0.455446 1.14308i −0.960074 0.279746i \(-0.909750\pi\)
0.504628 0.863337i \(-0.331630\pi\)
\(488\) 4.56318 + 4.32248i 0.206566 + 0.195669i
\(489\) −4.10406 14.7815i −0.185592 0.668441i
\(490\) 10.1725 + 19.1873i 0.459546 + 0.866796i
\(491\) −6.98672 + 5.31117i −0.315306 + 0.239690i −0.750842 0.660482i \(-0.770352\pi\)
0.435536 + 0.900171i \(0.356559\pi\)
\(492\) −0.114109 2.10461i −0.00514442 0.0948833i
\(493\) 12.6188 + 4.25176i 0.568321 + 0.191490i
\(494\) 7.23290 + 1.59208i 0.325424 + 0.0716312i
\(495\) 10.9847 20.7193i 0.493726 0.931265i
\(496\) −1.20457 7.34756i −0.0540869 0.329915i
\(497\) 2.28084 2.68521i 0.102309 0.120448i
\(498\) −0.735953 0.866431i −0.0329789 0.0388257i
\(499\) 3.47934 21.2230i 0.155757 0.950074i −0.787088 0.616841i \(-0.788412\pi\)
0.942845 0.333233i \(-0.108140\pi\)
\(500\) 28.0785 + 21.3447i 1.25571 + 0.954566i
\(501\) −14.1955 + 20.9367i −0.634206 + 0.935384i
\(502\) 6.68091 9.85360i 0.298184 0.439788i
\(503\) −20.3959 15.5045i −0.909407 0.691313i 0.0420436 0.999116i \(-0.486613\pi\)
−0.951450 + 0.307803i \(0.900406\pi\)
\(504\) −0.562362 + 3.43025i −0.0250496 + 0.152796i
\(505\) 18.5385 + 21.8252i 0.824951 + 0.971207i
\(506\) 15.5821 18.3447i 0.692710 0.815521i
\(507\) −0.290791 1.77375i −0.0129145 0.0787749i
\(508\) −1.15877 + 2.18568i −0.0514122 + 0.0969738i
\(509\) 33.4851 + 7.37062i 1.48420 + 0.326697i 0.881848 0.471533i \(-0.156299\pi\)
0.602352 + 0.798231i \(0.294230\pi\)
\(510\) −15.3016 5.15571i −0.677567 0.228299i
\(511\) −2.69432 49.6938i −0.119190 2.19832i
\(512\) 0.796093 0.605174i 0.0351827 0.0267452i
\(513\) 1.03646 + 1.95497i 0.0457608 + 0.0863141i
\(514\) 5.67758 + 20.4488i 0.250427 + 0.901957i
\(515\) 45.1605 + 42.7783i 1.99001 + 1.88504i
\(516\) −1.83267 4.59965i −0.0806786 0.202488i
\(517\) 6.06855 2.04473i 0.266894 0.0899272i
\(518\) −0.524576 + 0.0570511i −0.0230485 + 0.00250668i
\(519\) 13.6472 + 6.31386i 0.599045 + 0.277148i
\(520\) 10.3821 9.83442i 0.455284 0.431268i
\(521\) −14.1387 8.50697i −0.619427 0.372697i 0.170984 0.985274i \(-0.445305\pi\)
−0.790411 + 0.612577i \(0.790133\pi\)
\(522\) −3.50282 0.380955i −0.153314 0.0166740i
\(523\) 5.92804 1.30486i 0.259215 0.0570576i −0.0834614 0.996511i \(-0.526598\pi\)
0.342677 + 0.939453i \(0.388666\pi\)
\(524\) 1.09421 3.94098i 0.0478007 0.172163i
\(525\) 39.4798 23.7542i 1.72304 1.03672i
\(526\) −5.70675 + 2.64022i −0.248826 + 0.115119i
\(527\) 10.4151 26.1399i 0.453688 1.13867i
\(528\) −0.297154 + 5.48068i −0.0129320 + 0.238516i
\(529\) 2.11561 + 3.12029i 0.0919831 + 0.135665i
\(530\) 46.1581 2.00498
\(531\) 7.67898 + 0.182295i 0.333239 + 0.00791092i
\(532\) −7.69154 −0.333471
\(533\) 3.95892 + 5.83896i 0.171480 + 0.252914i
\(534\) −0.548298 + 10.1128i −0.0237272 + 0.437622i
\(535\) −17.3801 + 43.6209i −0.751409 + 1.88589i
\(536\) −12.4432 + 5.75686i −0.537466 + 0.248658i
\(537\) 12.3429 7.42645i 0.532634 0.320475i
\(538\) 7.77993 28.0208i 0.335416 1.20806i
\(539\) 27.2464 5.99739i 1.17359 0.258326i
\(540\) 4.24755 + 0.461948i 0.182785 + 0.0198791i
\(541\) 6.82665 + 4.10746i 0.293501 + 0.176593i 0.654687 0.755900i \(-0.272801\pi\)
−0.361186 + 0.932494i \(0.617628\pi\)
\(542\) −3.06056 + 2.89911i −0.131462 + 0.124528i
\(543\) −13.3951 6.19721i −0.574837 0.265948i
\(544\) 3.75702 0.408600i 0.161081 0.0175186i
\(545\) −72.2300 + 24.3371i −3.09399 + 1.04249i
\(546\) −4.30634 10.8081i −0.184294 0.462544i
\(547\) 2.49777 + 2.36601i 0.106797 + 0.101163i 0.739235 0.673447i \(-0.235187\pi\)
−0.632438 + 0.774611i \(0.717946\pi\)
\(548\) −3.14662 11.3331i −0.134417 0.484126i
\(549\) −2.94414 5.55324i −0.125653 0.237007i
\(550\) 57.9185 44.0285i 2.46965 1.87738i
\(551\) −0.422094 7.78506i −0.0179818 0.331655i
\(552\) 4.15566 + 1.40021i 0.176877 + 0.0595967i
\(553\) −29.5073 6.49505i −1.25478 0.276198i
\(554\) 0.104927 0.197913i 0.00445792 0.00840853i
\(555\) 0.104930 + 0.640042i 0.00445401 + 0.0271683i
\(556\) −1.00295 + 1.18076i −0.0425346 + 0.0500755i
\(557\) −6.91929 8.14602i −0.293180 0.345158i 0.595776 0.803151i \(-0.296845\pi\)
−0.888956 + 0.457992i \(0.848569\pi\)
\(558\) −1.20457 + 7.34756i −0.0509936 + 0.311047i
\(559\) 13.1930 + 10.0290i 0.558003 + 0.424183i
\(560\) −8.33460 + 12.2926i −0.352201 + 0.519458i
\(561\) −11.6406 + 17.1686i −0.491467 + 0.724860i
\(562\) −0.0282282 0.0214585i −0.00119073 0.000905172i
\(563\) 2.29130 13.9763i 0.0965668 0.589031i −0.893570 0.448925i \(-0.851807\pi\)
0.990136 0.140107i \(-0.0447445\pi\)
\(564\) 0.755312 + 0.889223i 0.0318044 + 0.0374430i
\(565\) −26.9807 + 31.7641i −1.13509 + 1.33633i
\(566\) 1.49651 + 9.12833i 0.0629032 + 0.383692i
\(567\) 1.62821 3.07113i 0.0683784 0.128975i
\(568\) 0.989853 + 0.217883i 0.0415333 + 0.00914218i
\(569\) 5.37033 + 1.80948i 0.225136 + 0.0758572i 0.429609 0.903015i \(-0.358651\pi\)
−0.204473 + 0.978872i \(0.565548\pi\)
\(570\) 0.511833 + 9.44021i 0.0214383 + 0.395407i
\(571\) 3.31349 2.51885i 0.138665 0.105410i −0.533542 0.845773i \(-0.679139\pi\)
0.672207 + 0.740363i \(0.265346\pi\)
\(572\) −8.60510 16.2309i −0.359797 0.678650i
\(573\) 4.02201 + 14.4860i 0.168022 + 0.605160i
\(574\) −5.31899 5.03842i −0.222010 0.210299i
\(575\) −21.5147 53.9979i −0.897226 2.25187i
\(576\) −0.947653 + 0.319302i −0.0394855 + 0.0133042i
\(577\) −5.91306 + 0.643084i −0.246164 + 0.0267719i −0.230369 0.973103i \(-0.573993\pi\)
−0.0157947 + 0.999875i \(0.505028\pi\)
\(578\) −2.46668 1.14121i −0.102600 0.0474680i
\(579\) −2.03029 + 1.92320i −0.0843761 + 0.0799253i
\(580\) −12.8995 7.76135i −0.535621 0.322272i
\(581\) −3.92843 0.427242i −0.162979 0.0177250i
\(582\) 2.33565 0.514116i 0.0968159 0.0213108i
\(583\) 15.8635 57.1351i 0.656998 2.36629i
\(584\) 12.2677 7.38122i 0.507640 0.305437i
\(585\) −12.9788 + 6.00461i −0.536605 + 0.248260i
\(586\) −4.54394 + 11.4044i −0.187708 + 0.471113i
\(587\) −0.655590 + 12.0917i −0.0270591 + 0.499076i 0.953321 + 0.301959i \(0.0976406\pi\)
−0.980380 + 0.197117i \(0.936842\pi\)
\(588\) 2.85245 + 4.20706i 0.117633 + 0.173496i
\(589\) −16.4752 −0.678848
\(590\) 29.4497 + 14.4831i 1.21243 + 0.596259i
\(591\) 20.4190 0.839927
\(592\) −0.0851891 0.125644i −0.00350125 0.00516396i
\(593\) −1.30922 + 24.1472i −0.0537632 + 0.991605i 0.839865 + 0.542796i \(0.182634\pi\)
−0.893628 + 0.448809i \(0.851848\pi\)
\(594\) 2.03159 5.09891i 0.0833571 0.209211i
\(595\) −50.9396 + 23.5672i −2.08832 + 0.966161i
\(596\) −9.02151 + 5.42806i −0.369535 + 0.222342i
\(597\) −1.14176 + 4.11225i −0.0467292 + 0.168303i
\(598\) −14.3343 + 3.15521i −0.586172 + 0.129026i
\(599\) −18.5899 2.02178i −0.759564 0.0826075i −0.279863 0.960040i \(-0.590289\pi\)
−0.479700 + 0.877432i \(0.659255\pi\)
\(600\) 11.3577 + 6.83369i 0.463675 + 0.278984i
\(601\) 10.4904 9.93700i 0.427911 0.405339i −0.443202 0.896422i \(-0.646157\pi\)
0.871113 + 0.491083i \(0.163399\pi\)
\(602\) −15.6202 7.22669i −0.636634 0.294538i
\(603\) 13.6300 1.48236i 0.555058 0.0603662i
\(604\) 2.91395 0.981823i 0.118567 0.0399498i
\(605\) −30.2471 75.9145i −1.22972 3.08637i
\(606\) 4.86579 + 4.60912i 0.197659 + 0.187233i
\(607\) 8.51895 + 30.6825i 0.345774 + 1.24536i 0.908207 + 0.418521i \(0.137452\pi\)
−0.562433 + 0.826843i \(0.690135\pi\)
\(608\) −1.03646 1.95497i −0.0420340 0.0792845i
\(609\) −9.75037 + 7.41204i −0.395105 + 0.300351i
\(610\) −1.45390 26.8156i −0.0588668 1.08573i
\(611\) −3.70059 1.24688i −0.149710 0.0504432i
\(612\) −3.69081 0.812410i −0.149192 0.0328397i
\(613\) −4.64978 + 8.77042i −0.187803 + 0.354234i −0.959478 0.281783i \(-0.909074\pi\)
0.771675 + 0.636017i \(0.219419\pi\)
\(614\) 3.55407 + 21.6788i 0.143430 + 0.874887i
\(615\) −5.82995 + 6.86354i −0.235086 + 0.276765i
\(616\) 12.3515 + 14.5414i 0.497658 + 0.585888i
\(617\) −3.73908 + 22.8074i −0.150530 + 0.918190i 0.798267 + 0.602303i \(0.205750\pi\)
−0.948797 + 0.315886i \(0.897698\pi\)
\(618\) 11.5904 + 8.81078i 0.466233 + 0.354421i
\(619\) 7.73176 11.4035i 0.310766 0.458345i −0.639947 0.768419i \(-0.721044\pi\)
0.950712 + 0.310074i \(0.100354\pi\)
\(620\) −17.8526 + 26.3306i −0.716978 + 1.05746i
\(621\) −3.49104 2.65382i −0.140091 0.106494i
\(622\) −3.94565 + 24.0674i −0.158206 + 0.965015i
\(623\) 22.7906 + 26.8312i 0.913087 + 1.07497i
\(624\) 2.16682 2.55098i 0.0867421 0.102121i
\(625\) −13.6578 83.3087i −0.546311 3.33235i
\(626\) −1.60547 + 3.02824i −0.0641676 + 0.121033i
\(627\) 11.8611 + 2.61083i 0.473688 + 0.104267i
\(628\) 8.42256 + 2.83789i 0.336097 + 0.113244i
\(629\) −0.0310586 0.572842i −0.00123839 0.0228407i
\(630\) 11.8234 8.98788i 0.471054 0.358086i
\(631\) −11.6974 22.0636i −0.465665 0.878337i −0.999464 0.0327260i \(-0.989581\pi\)
0.533800 0.845611i \(-0.320764\pi\)
\(632\) −2.32535 8.37515i −0.0924974 0.333145i
\(633\) 2.16925 + 2.05483i 0.0862201 + 0.0816720i
\(634\) −10.8770 27.2992i −0.431981 1.08419i
\(635\) 10.0165 3.37494i 0.397491 0.133930i
\(636\) 10.7400 1.16804i 0.425867 0.0463159i
\(637\) −15.4402 7.14339i −0.611763 0.283032i
\(638\) −14.0403 + 13.2997i −0.555863 + 0.526541i
\(639\) −0.868467 0.522539i −0.0343560 0.0206713i
\(640\) −4.24755 0.461948i −0.167899 0.0182601i
\(641\) −11.4967 + 2.53063i −0.454094 + 0.0999537i −0.436127 0.899885i \(-0.643650\pi\)
−0.0179667 + 0.999839i \(0.505719\pi\)
\(642\) −2.94014 + 10.5894i −0.116038 + 0.417931i
\(643\) 17.2046 10.3516i 0.678481 0.408229i −0.134186 0.990956i \(-0.542842\pi\)
0.812668 + 0.582727i \(0.198014\pi\)
\(644\) 13.8344 6.40046i 0.545150 0.252213i
\(645\) −7.83024 + 19.6524i −0.308315 + 0.773813i
\(646\) 0.452724 8.35001i 0.0178122 0.328527i
\(647\) −21.3824 31.5367i −0.840629 1.23984i −0.968741 0.248076i \(-0.920202\pi\)
0.128111 0.991760i \(-0.459109\pi\)
\(648\) 1.00000 0.0392837
\(649\) 28.0486 31.4758i 1.10100 1.23553i
\(650\) −44.3649 −1.74014
\(651\) 14.5243 + 21.4218i 0.569253 + 0.839585i
\(652\) 0.830526 15.3181i 0.0325259 0.599905i
\(653\) −15.4604 + 38.8026i −0.605010 + 1.51846i 0.232814 + 0.972521i \(0.425207\pi\)
−0.837824 + 0.545940i \(0.816173\pi\)
\(654\) −16.1905 + 7.49051i −0.633097 + 0.292902i
\(655\) −14.9737 + 9.00940i −0.585073 + 0.352026i
\(656\) 0.563871 2.03088i 0.0220155 0.0792925i
\(657\) −13.9823 + 3.07775i −0.545503 + 0.120074i
\(658\) 4.03177 + 0.438481i 0.157175 + 0.0170938i
\(659\) 3.38715 + 2.03798i 0.131944 + 0.0793883i 0.579996 0.814620i \(-0.303054\pi\)
−0.448051 + 0.894008i \(0.647882\pi\)
\(660\) 17.0254 16.1273i 0.662713 0.627755i
\(661\) −32.2558 14.9231i −1.25460 0.580442i −0.323857 0.946106i \(-0.604980\pi\)
−0.930747 + 0.365664i \(0.880842\pi\)
\(662\) 31.4670 3.42225i 1.22300 0.133009i
\(663\) 11.9868 4.03884i 0.465530 0.156855i
\(664\) −0.420776 1.05607i −0.0163293 0.0409834i
\(665\) 23.8583 + 22.5997i 0.925183 + 0.876380i
\(666\) 0.0406112 + 0.146268i 0.00157365 + 0.00566779i
\(667\) 7.23748 + 13.6513i 0.280236 + 0.528582i
\(668\) −20.1375 + 15.3081i −0.779143 + 0.592289i
\(669\) 0.617412 + 11.3875i 0.0238705 + 0.440266i
\(670\) 55.5126 + 18.7044i 2.14464 + 0.722613i
\(671\) −33.6924 7.41626i −1.30068 0.286302i
\(672\) −1.62821 + 3.07113i −0.0628095 + 0.118471i
\(673\) 1.19351 + 7.28009i 0.0460064 + 0.280627i 0.999803 0.0198249i \(-0.00631089\pi\)
−0.953797 + 0.300452i \(0.902863\pi\)
\(674\) −22.2753 + 26.2245i −0.858011 + 1.01013i
\(675\) −8.58113 10.1025i −0.330288 0.388845i
\(676\) 0.290791 1.77375i 0.0111843 0.0682211i
\(677\) −24.1530 18.3606i −0.928274 0.705656i 0.0275422 0.999621i \(-0.491232\pi\)
−0.955816 + 0.293965i \(0.905025\pi\)
\(678\) −5.47401 + 8.07356i −0.210228 + 0.310063i
\(679\) 4.66526 6.88074i 0.179036 0.264058i
\(680\) −12.8544 9.77166i −0.492943 0.374726i
\(681\) −0.847731 + 5.17093i −0.0324851 + 0.198150i
\(682\) 26.4568 + 31.1474i 1.01309 + 1.19270i
\(683\) 15.1650 17.8536i 0.580271 0.683148i −0.391200 0.920306i \(-0.627940\pi\)
0.971471 + 0.237158i \(0.0762158\pi\)
\(684\) 0.357979 + 2.18358i 0.0136877 + 0.0834912i
\(685\) −23.5391 + 44.3995i −0.899384 + 1.69642i
\(686\) −6.50815 1.43255i −0.248482 0.0546951i
\(687\) −8.86164 2.98583i −0.338093 0.113917i
\(688\) −0.268058 4.94404i −0.0102196 0.188490i
\(689\) −28.7858 + 21.8824i −1.09665 + 0.833654i
\(690\) −8.77621 16.5537i −0.334105 0.630188i
\(691\) −0.619175 2.23007i −0.0235545 0.0848357i 0.950839 0.309687i \(-0.100224\pi\)
−0.974393 + 0.224851i \(0.927810\pi\)
\(692\) 10.9168 + 10.3409i 0.414994 + 0.393103i
\(693\) −7.06190 17.7240i −0.268259 0.673280i
\(694\) −9.49435 + 3.19902i −0.360401 + 0.121433i
\(695\) 6.58042 0.715664i 0.249610 0.0271467i
\(696\) −3.19782 1.47947i −0.121213 0.0560792i
\(697\) 5.78282 5.47778i 0.219040 0.207486i
\(698\) 8.06078 + 4.85001i 0.305105 + 0.183576i
\(699\) −15.2271 1.65604i −0.575940 0.0626373i
\(700\) 44.9979 9.90479i 1.70076 0.374366i
\(701\) 5.11022 18.4054i 0.193010 0.695161i −0.802170 0.597096i \(-0.796321\pi\)
0.995180 0.0980646i \(-0.0312652\pi\)
\(702\) −2.86792 + 1.72557i −0.108243 + 0.0651275i
\(703\) −0.304850 + 0.141039i −0.0114977 + 0.00531938i
\(704\) −2.03159 + 5.09891i −0.0765684 + 0.192172i
\(705\) 0.269876 4.97757i 0.0101641 0.187466i
\(706\) −2.74515 4.04879i −0.103315 0.152378i
\(707\) 23.2972 0.876183
\(708\) 7.21880 + 2.62466i 0.271299 + 0.0986409i
\(709\) −32.0688 −1.20437 −0.602184 0.798358i \(-0.705703\pi\)
−0.602184 + 0.798358i \(0.705703\pi\)
\(710\) −2.43021 3.58429i −0.0912042 0.134516i
\(711\) −0.470574 + 8.67922i −0.0176479 + 0.325496i
\(712\) −3.74862 + 9.40832i −0.140485 + 0.352592i
\(713\) 29.6330 13.7097i 1.10977 0.513432i
\(714\) −11.2562 + 6.77261i −0.421251 + 0.253458i
\(715\) −20.9987 + 75.6305i −0.785307 + 2.82842i
\(716\) 14.0680 3.09661i 0.525747 0.115726i
\(717\) 28.3868 + 3.08725i 1.06013 + 0.115296i
\(718\) −16.7437 10.0743i −0.624868 0.375971i
\(719\) 2.93493 2.78012i 0.109455 0.103681i −0.631015 0.775770i \(-0.717362\pi\)
0.740470 + 0.672089i \(0.234603\pi\)
\(720\) 3.87770 + 1.79401i 0.144513 + 0.0668590i
\(721\) 50.3113 5.47169i 1.87369 0.203776i
\(722\) 13.3655 4.50338i 0.497414 0.167598i
\(723\) 8.10798 + 20.3495i 0.301539 + 0.756806i
\(724\) −10.7151 10.1499i −0.398223 0.377217i
\(725\) 12.4946 + 45.0015i 0.464038 + 1.67131i
\(726\) −8.95888 16.8982i −0.332495 0.627152i
\(727\) −19.5119 + 14.8326i −0.723656 + 0.550109i −0.900884 0.434061i \(-0.857080\pi\)
0.177227 + 0.984170i \(0.443287\pi\)
\(728\) −0.629874 11.6173i −0.0233447 0.430568i
\(729\) −0.947653 0.319302i −0.0350983 0.0118260i
\(730\) −59.7408 13.1500i −2.21111 0.486702i
\(731\) 8.76477 16.5321i 0.324177 0.611462i
\(732\) −1.01687 6.20262i −0.0375845 0.229255i
\(733\) −8.90650 + 10.4855i −0.328969 + 0.387292i −0.901636 0.432496i \(-0.857633\pi\)
0.572667 + 0.819788i \(0.305909\pi\)
\(734\) 14.2270 + 16.7494i 0.525130 + 0.618231i
\(735\) 3.51344 21.4310i 0.129595 0.790496i
\(736\) 3.49104 + 2.65382i 0.128681 + 0.0978211i
\(737\) 42.2309 62.2859i 1.55560 2.29433i
\(738\) −1.18282 + 1.74452i −0.0435401 + 0.0642168i
\(739\) 5.77709 + 4.39163i 0.212514 + 0.161549i 0.706016 0.708196i \(-0.250491\pi\)
−0.493503 + 0.869744i \(0.664284\pi\)
\(740\) −0.104930 + 0.640042i −0.00385729 + 0.0235284i
\(741\) −4.79458 5.64461i −0.176133 0.207360i
\(742\) 24.3111 28.6213i 0.892490 1.05072i
\(743\) −0.546563 3.33389i −0.0200515 0.122308i 0.974904 0.222625i \(-0.0714626\pi\)
−0.994956 + 0.100317i \(0.968014\pi\)
\(744\) −3.48760 + 6.57832i −0.127862 + 0.241173i
\(745\) 43.9327 + 9.67032i 1.60957 + 0.354293i
\(746\) −17.1441 5.77651i −0.627689 0.211493i
\(747\) 0.0615455 + 1.13514i 0.00225183 + 0.0415326i
\(748\) −16.5132 + 12.5530i −0.603784 + 0.458985i
\(749\) 17.8940 + 33.7517i 0.653834 + 1.23326i
\(750\) −9.43583 33.9848i −0.344548 1.24095i
\(751\) −32.7386 31.0117i −1.19465 1.13163i −0.988199 0.153175i \(-0.951050\pi\)
−0.206451 0.978457i \(-0.566191\pi\)
\(752\) 0.431844 + 1.08385i 0.0157477 + 0.0395238i
\(753\) −11.2818 + 3.80127i −0.411131 + 0.138526i
\(754\) 11.7240 1.27507i 0.426964 0.0464352i
\(755\) −11.9236 5.51643i −0.433943 0.200763i
\(756\) 2.52359 2.39047i 0.0917822 0.0869407i
\(757\) 8.95111 + 5.38571i 0.325334 + 0.195747i 0.668845 0.743402i \(-0.266789\pi\)
−0.343512 + 0.939148i \(0.611616\pi\)
\(758\) −15.6130