Properties

Label 588.2.ba.b.187.18
Level $588$
Weight $2$
Character 588.187
Analytic conductor $4.695$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.ba (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(28\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 187.18
Character \(\chi\) \(=\) 588.187
Dual form 588.2.ba.b.283.18

$q$-expansion

\(f(q)\) \(=\) \(q+(0.427913 + 1.34792i) q^{2} +(-0.988831 - 0.149042i) q^{3} +(-1.63378 + 1.15359i) q^{4} +(0.113995 - 0.0447396i) q^{5} +(-0.222237 - 1.39664i) q^{6} +(2.30833 - 1.29291i) q^{7} +(-2.25406 - 1.70857i) q^{8} +(0.955573 + 0.294755i) q^{9} +O(q^{10})\) \(q+(0.427913 + 1.34792i) q^{2} +(-0.988831 - 0.149042i) q^{3} +(-1.63378 + 1.15359i) q^{4} +(0.113995 - 0.0447396i) q^{5} +(-0.222237 - 1.39664i) q^{6} +(2.30833 - 1.29291i) q^{7} +(-2.25406 - 1.70857i) q^{8} +(0.955573 + 0.294755i) q^{9} +(0.109085 + 0.134511i) q^{10} +(0.636255 + 2.06269i) q^{11} +(1.78747 - 0.897200i) q^{12} +(6.14297 + 1.40209i) q^{13} +(2.73051 + 2.55819i) q^{14} +(-0.119390 + 0.0272499i) q^{15} +(1.33848 - 3.76941i) q^{16} +(-1.76553 + 2.58955i) q^{17} +(0.0115958 + 1.41417i) q^{18} +(-1.73821 + 3.01067i) q^{19} +(-0.134631 + 0.204597i) q^{20} +(-2.47524 + 0.934432i) q^{21} +(-2.50808 + 1.74027i) q^{22} +(-0.604697 - 0.886928i) q^{23} +(1.97423 + 2.02544i) q^{24} +(-3.65427 + 3.39066i) q^{25} +(0.738750 + 8.88022i) q^{26} +(-0.900969 - 0.433884i) q^{27} +(-2.27982 + 4.77519i) q^{28} +(2.36859 - 1.14065i) q^{29} +(-0.0878190 - 0.149267i) q^{30} +(5.04800 + 8.74340i) q^{31} +(5.65362 + 0.191177i) q^{32} +(-0.321721 - 2.13448i) q^{33} +(-4.24600 - 1.27169i) q^{34} +(0.205293 - 0.250659i) q^{35} +(-1.90122 + 0.620771i) q^{36} +(-0.0334785 + 0.446740i) q^{37} +(-4.80194 - 1.05466i) q^{38} +(-5.86539 - 2.30200i) q^{39} +(-0.333392 - 0.0939222i) q^{40} +(-9.19989 - 7.33667i) q^{41} +(-2.31873 - 2.93658i) q^{42} +(2.90699 - 2.31824i) q^{43} +(-3.41899 - 2.63600i) q^{44} +(0.122117 - 0.00915143i) q^{45} +(0.936751 - 1.19461i) q^{46} +(8.21808 + 7.62526i) q^{47} +(-1.88533 + 3.52782i) q^{48} +(3.65676 - 5.96893i) q^{49} +(-6.13405 - 3.47475i) q^{50} +(2.13176 - 2.29749i) q^{51} +(-11.6537 + 4.79574i) q^{52} +(-0.0214171 - 0.285792i) q^{53} +(0.199304 - 1.40010i) q^{54} +(0.164813 + 0.206669i) q^{55} +(-7.41214 - 1.02964i) q^{56} +(2.16751 - 2.71797i) q^{57} +(2.55106 + 2.70457i) q^{58} +(-4.25453 + 10.8404i) q^{59} +(0.163621 - 0.182246i) q^{60} +(5.95702 + 0.446417i) q^{61} +(-9.62530 + 10.5457i) q^{62} +(2.58687 - 0.555079i) q^{63} +(2.16157 + 7.70244i) q^{64} +(0.762995 - 0.115003i) q^{65} +(2.73944 - 1.34703i) q^{66} +(11.1491 - 6.43696i) q^{67} +(-0.102790 - 6.26745i) q^{68} +(0.465754 + 0.967147i) q^{69} +(0.425715 + 0.169458i) q^{70} +(1.13530 - 2.35747i) q^{71} +(-1.65031 - 2.29706i) q^{72} +(-0.271263 - 0.292352i) q^{73} +(-0.616496 + 0.146040i) q^{74} +(4.11880 - 2.80815i) q^{75} +(-0.633213 - 6.92395i) q^{76} +(4.13556 + 3.93874i) q^{77} +(0.593029 - 8.89114i) q^{78} +(-9.88492 - 5.70706i) q^{79} +(-0.0160630 - 0.489576i) q^{80} +(0.826239 + 0.563320i) q^{81} +(5.95249 - 15.5402i) q^{82} +(-0.511200 - 2.23971i) q^{83} +(2.96606 - 4.38207i) q^{84} +(-0.0854051 + 0.374184i) q^{85} +(4.36875 + 2.92638i) q^{86} +(-2.51214 + 0.774894i) q^{87} +(2.09009 - 5.73651i) q^{88} +(-2.99795 + 9.71911i) q^{89} +(0.0645911 + 0.160689i) q^{90} +(15.9928 - 4.70583i) q^{91} +(2.01109 + 0.751475i) q^{92} +(-3.68849 - 9.39811i) q^{93} +(-6.76162 + 14.3403i) q^{94} +(-0.0634505 + 0.420967i) q^{95} +(-5.56198 - 1.03167i) q^{96} +4.41839i q^{97} +(9.61042 + 2.37484i) q^{98} +2.15859i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q + 28 q^{3} - 2 q^{7} - 6 q^{8} + 28 q^{9} + O(q^{10}) \) \( 336 q + 28 q^{3} - 2 q^{7} - 6 q^{8} + 28 q^{9} - 23 q^{10} - 6 q^{11} - 30 q^{14} - 12 q^{16} + 6 q^{19} + 25 q^{20} + 4 q^{21} + 6 q^{22} + 15 q^{24} - 26 q^{25} - 12 q^{26} - 56 q^{27} + 36 q^{28} - 13 q^{30} - 2 q^{31} - 25 q^{32} + 6 q^{33} + 68 q^{34} + 12 q^{35} + 16 q^{37} + 82 q^{38} - 8 q^{39} - 19 q^{40} - 9 q^{42} - 11 q^{44} + 10 q^{46} - 4 q^{47} - 8 q^{48} - 4 q^{49} - 114 q^{50} - 8 q^{52} - 4 q^{53} - 41 q^{56} - 12 q^{57} - 33 q^{58} + 10 q^{59} + 17 q^{60} + 2 q^{61} + 16 q^{62} + 12 q^{63} + 84 q^{64} - 4 q^{65} + 15 q^{66} - 42 q^{67} + 10 q^{68} - 38 q^{70} - 28 q^{71} + 33 q^{72} + 18 q^{73} + 2 q^{74} - 54 q^{75} - 7 q^{76} - 8 q^{77} - 6 q^{78} + 6 q^{79} - 14 q^{80} + 28 q^{81} - 87 q^{82} - 10 q^{83} - 14 q^{84} + 24 q^{85} + 126 q^{86} - 244 q^{88} - 20 q^{90} + 34 q^{91} + 14 q^{92} - 2 q^{93} - 184 q^{94} + 24 q^{95} - 20 q^{96} - 122 q^{98} + O(q^{100}) \)

Character values

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

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{23}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.427913 + 1.34792i 0.302580 + 0.953124i
\(3\) −0.988831 0.149042i −0.570902 0.0860496i
\(4\) −1.63378 + 1.15359i −0.816890 + 0.576793i
\(5\) 0.113995 0.0447396i 0.0509800 0.0200082i −0.339714 0.940529i \(-0.610330\pi\)
0.390694 + 0.920521i \(0.372235\pi\)
\(6\) −0.222237 1.39664i −0.0907278 0.570177i
\(7\) 2.30833 1.29291i 0.872466 0.488674i
\(8\) −2.25406 1.70857i −0.796930 0.604071i
\(9\) 0.955573 + 0.294755i 0.318524 + 0.0982517i
\(10\) 0.109085 + 0.134511i 0.0344958 + 0.0425361i
\(11\) 0.636255 + 2.06269i 0.191838 + 0.621923i 0.999480 + 0.0322501i \(0.0102673\pi\)
−0.807642 + 0.589673i \(0.799256\pi\)
\(12\) 1.78747 0.897200i 0.515997 0.258999i
\(13\) 6.14297 + 1.40209i 1.70375 + 0.388871i 0.960092 0.279684i \(-0.0902298\pi\)
0.743662 + 0.668555i \(0.233087\pi\)
\(14\) 2.73051 + 2.55819i 0.729759 + 0.683705i
\(15\) −0.119390 + 0.0272499i −0.0308262 + 0.00703589i
\(16\) 1.33848 3.76941i 0.334619 0.942353i
\(17\) −1.76553 + 2.58955i −0.428203 + 0.628059i −0.978337 0.207018i \(-0.933624\pi\)
0.550134 + 0.835076i \(0.314577\pi\)
\(18\) 0.0115958 + 1.41417i 0.00273315 + 0.333322i
\(19\) −1.73821 + 3.01067i −0.398773 + 0.690695i −0.993575 0.113178i \(-0.963897\pi\)
0.594802 + 0.803872i \(0.297230\pi\)
\(20\) −0.134631 + 0.204597i −0.0301045 + 0.0457494i
\(21\) −2.47524 + 0.934432i −0.540143 + 0.203910i
\(22\) −2.50808 + 1.74027i −0.534724 + 0.371027i
\(23\) −0.604697 0.886928i −0.126088 0.184937i 0.758004 0.652250i \(-0.226175\pi\)
−0.884092 + 0.467312i \(0.845222\pi\)
\(24\) 1.97423 + 2.02544i 0.402989 + 0.413441i
\(25\) −3.65427 + 3.39066i −0.730853 + 0.678133i
\(26\) 0.738750 + 8.88022i 0.144881 + 1.74155i
\(27\) −0.900969 0.433884i −0.173392 0.0835010i
\(28\) −2.27982 + 4.77519i −0.430845 + 0.902426i
\(29\) 2.36859 1.14065i 0.439837 0.211814i −0.200841 0.979624i \(-0.564368\pi\)
0.640678 + 0.767810i \(0.278653\pi\)
\(30\) −0.0878190 0.149267i −0.0160335 0.0272523i
\(31\) 5.04800 + 8.74340i 0.906648 + 1.57036i 0.818689 + 0.574237i \(0.194701\pi\)
0.0879590 + 0.996124i \(0.471966\pi\)
\(32\) 5.65362 + 0.191177i 0.999429 + 0.0337956i
\(33\) −0.321721 2.13448i −0.0560044 0.371565i
\(34\) −4.24600 1.27169i −0.728184 0.218092i
\(35\) 0.205293 0.250659i 0.0347008 0.0423690i
\(36\) −1.90122 + 0.620771i −0.316870 + 0.103462i
\(37\) −0.0334785 + 0.446740i −0.00550384 + 0.0734436i −0.999279 0.0379576i \(-0.987915\pi\)
0.993776 + 0.111401i \(0.0355339\pi\)
\(38\) −4.80194 1.05466i −0.778978 0.171089i
\(39\) −5.86539 2.30200i −0.939214 0.368614i
\(40\) −0.333392 0.0939222i −0.0527138 0.0148504i
\(41\) −9.19989 7.33667i −1.43678 1.14580i −0.964415 0.264393i \(-0.914828\pi\)
−0.472367 0.881402i \(-0.656600\pi\)
\(42\) −2.31873 2.93658i −0.357788 0.453124i
\(43\) 2.90699 2.31824i 0.443311 0.353529i −0.376252 0.926517i \(-0.622787\pi\)
0.819563 + 0.572988i \(0.194216\pi\)
\(44\) −3.41899 2.63600i −0.515432 0.397392i
\(45\) 0.122117 0.00915143i 0.0182042 0.00136422i
\(46\) 0.936751 1.19461i 0.138116 0.176136i
\(47\) 8.21808 + 7.62526i 1.19873 + 1.11226i 0.990971 + 0.134078i \(0.0428074\pi\)
0.207759 + 0.978180i \(0.433383\pi\)
\(48\) −1.88533 + 3.52782i −0.272124 + 0.509197i
\(49\) 3.65676 5.96893i 0.522395 0.852704i
\(50\) −6.13405 3.47475i −0.867486 0.491404i
\(51\) 2.13176 2.29749i 0.298506 0.321713i
\(52\) −11.6537 + 4.79574i −1.61608 + 0.665049i
\(53\) −0.0214171 0.285792i −0.00294187 0.0392565i 0.995540 0.0943439i \(-0.0300753\pi\)
−0.998482 + 0.0550874i \(0.982456\pi\)
\(54\) 0.199304 1.40010i 0.0271219 0.190529i
\(55\) 0.164813 + 0.206669i 0.0222234 + 0.0278673i
\(56\) −7.41214 1.02964i −0.990489 0.137592i
\(57\) 2.16751 2.71797i 0.287094 0.360005i
\(58\) 2.55106 + 2.70457i 0.334971 + 0.355128i
\(59\) −4.25453 + 10.8404i −0.553893 + 1.41130i 0.330166 + 0.943923i \(0.392895\pi\)
−0.884060 + 0.467374i \(0.845200\pi\)
\(60\) 0.163621 0.182246i 0.0211234 0.0235279i
\(61\) 5.95702 + 0.446417i 0.762718 + 0.0571578i 0.450408 0.892823i \(-0.351278\pi\)
0.312309 + 0.949980i \(0.398897\pi\)
\(62\) −9.62530 + 10.5457i −1.22241 + 1.33931i
\(63\) 2.58687 0.555079i 0.325915 0.0699334i
\(64\) 2.16157 + 7.70244i 0.270196 + 0.962805i
\(65\) 0.762995 0.115003i 0.0946379 0.0142644i
\(66\) 2.73944 1.34703i 0.337201 0.165807i
\(67\) 11.1491 6.43696i 1.36208 0.786399i 0.372183 0.928159i \(-0.378609\pi\)
0.989901 + 0.141760i \(0.0452761\pi\)
\(68\) −0.102790 6.26745i −0.0124651 0.760040i
\(69\) 0.465754 + 0.967147i 0.0560701 + 0.116431i
\(70\) 0.425715 + 0.169458i 0.0508827 + 0.0202541i
\(71\) 1.13530 2.35747i 0.134735 0.279780i −0.822675 0.568512i \(-0.807519\pi\)
0.957410 + 0.288732i \(0.0932336\pi\)
\(72\) −1.65031 2.29706i −0.194491 0.270711i
\(73\) −0.271263 0.292352i −0.0317490 0.0342173i 0.716978 0.697096i \(-0.245525\pi\)
−0.748727 + 0.662879i \(0.769334\pi\)
\(74\) −0.616496 + 0.146040i −0.0716662 + 0.0169768i
\(75\) 4.11880 2.80815i 0.475598 0.324258i
\(76\) −0.633213 6.92395i −0.0726345 0.794231i
\(77\) 4.13556 + 3.93874i 0.471290 + 0.448861i
\(78\) 0.593029 8.89114i 0.0671473 1.00672i
\(79\) −9.88492 5.70706i −1.11214 0.642094i −0.172757 0.984964i \(-0.555268\pi\)
−0.939383 + 0.342870i \(0.888601\pi\)
\(80\) −0.0160630 0.489576i −0.00179590 0.0547362i
\(81\) 0.826239 + 0.563320i 0.0918043 + 0.0625911i
\(82\) 5.95249 15.5402i 0.657343 1.71613i
\(83\) −0.511200 2.23971i −0.0561115 0.245841i 0.939092 0.343666i \(-0.111669\pi\)
−0.995204 + 0.0978249i \(0.968811\pi\)
\(84\) 2.96606 4.38207i 0.323623 0.478123i
\(85\) −0.0854051 + 0.374184i −0.00926348 + 0.0405860i
\(86\) 4.36875 + 2.92638i 0.471094 + 0.315560i
\(87\) −2.51214 + 0.774894i −0.269330 + 0.0830773i
\(88\) 2.09009 5.73651i 0.222804 0.611514i
\(89\) −2.99795 + 9.71911i −0.317782 + 1.03022i 0.645956 + 0.763374i \(0.276459\pi\)
−0.963738 + 0.266850i \(0.914017\pi\)
\(90\) 0.0645911 + 0.160689i 0.00680850 + 0.0169381i
\(91\) 15.9928 4.70583i 1.67650 0.493305i
\(92\) 2.01109 + 0.751475i 0.209671 + 0.0783467i
\(93\) −3.68849 9.39811i −0.382478 0.974538i
\(94\) −6.76162 + 14.3403i −0.697408 + 1.47909i
\(95\) −0.0634505 + 0.420967i −0.00650989 + 0.0431903i
\(96\) −5.56198 1.03167i −0.567668 0.105294i
\(97\) 4.41839i 0.448619i 0.974518 + 0.224310i \(0.0720127\pi\)
−0.974518 + 0.224310i \(0.927987\pi\)
\(98\) 9.61042 + 2.37484i 0.970799 + 0.239895i
\(99\) 2.15859i 0.216946i
\(100\) 2.05884 9.75511i 0.205884 0.975511i
\(101\) 2.28154 15.1371i 0.227022 1.50619i −0.527294 0.849683i \(-0.676793\pi\)
0.754316 0.656511i \(-0.227968\pi\)
\(102\) 4.00904 + 1.89032i 0.396955 + 0.187169i
\(103\) −3.46481 8.82819i −0.341398 0.869868i −0.993717 0.111923i \(-0.964299\pi\)
0.652319 0.757945i \(-0.273796\pi\)
\(104\) −11.4511 13.6561i −1.12287 1.33909i
\(105\) −0.240359 + 0.217262i −0.0234566 + 0.0212026i
\(106\) 0.376060 0.151163i 0.0365262 0.0146822i
\(107\) −0.589380 + 1.91072i −0.0569775 + 0.184717i −0.979588 0.201017i \(-0.935575\pi\)
0.922610 + 0.385733i \(0.126052\pi\)
\(108\) 1.97251 0.330475i 0.189805 0.0318000i
\(109\) 9.86879 3.04412i 0.945259 0.291574i 0.216452 0.976293i \(-0.430552\pi\)
0.728807 + 0.684720i \(0.240075\pi\)
\(110\) −0.208048 + 0.310592i −0.0198366 + 0.0296138i
\(111\) 0.0996878 0.436761i 0.00946194 0.0414555i
\(112\) −1.78387 10.4316i −0.168560 0.985691i
\(113\) −3.21633 14.0917i −0.302567 1.32563i −0.866237 0.499633i \(-0.833468\pi\)
0.563670 0.826000i \(-0.309389\pi\)
\(114\) 4.59112 + 1.75858i 0.429998 + 0.164706i
\(115\) −0.108613 0.0740511i −0.0101282 0.00690530i
\(116\) −2.55392 + 4.59596i −0.237125 + 0.426724i
\(117\) 5.45678 + 3.15048i 0.504480 + 0.291262i
\(118\) −16.4325 1.09603i −1.51274 0.100898i
\(119\) −0.727355 + 8.26021i −0.0666765 + 0.757212i
\(120\) 0.315669 + 0.142563i 0.0288165 + 0.0130141i
\(121\) 5.23877 3.57173i 0.476252 0.324703i
\(122\) 1.94735 + 8.22061i 0.176305 + 0.744259i
\(123\) 8.00366 + 8.62590i 0.721666 + 0.777771i
\(124\) −18.3336 8.46148i −1.64641 0.759864i
\(125\) −0.530536 + 1.10167i −0.0474526 + 0.0985364i
\(126\) 1.85516 + 3.24937i 0.165271 + 0.289477i
\(127\) −2.75525 5.72134i −0.244489 0.507687i 0.742225 0.670150i \(-0.233770\pi\)
−0.986715 + 0.162463i \(0.948056\pi\)
\(128\) −9.45732 + 6.20960i −0.835917 + 0.548856i
\(129\) −3.22003 + 1.85909i −0.283508 + 0.163683i
\(130\) 0.481511 + 0.979246i 0.0422313 + 0.0858855i
\(131\) −0.266946 + 0.0402356i −0.0233232 + 0.00351540i −0.160693 0.987004i \(-0.551373\pi\)
0.137370 + 0.990520i \(0.456135\pi\)
\(132\) 2.98792 + 3.11613i 0.260065 + 0.271225i
\(133\) −0.119834 + 9.19696i −0.0103909 + 0.797478i
\(134\) 13.4474 + 12.2737i 1.16168 + 1.06029i
\(135\) −0.122117 0.00915143i −0.0105102 0.000787630i
\(136\) 8.40404 2.82048i 0.720640 0.241854i
\(137\) −6.58155 + 16.7695i −0.562300 + 1.43272i 0.313289 + 0.949658i \(0.398569\pi\)
−0.875588 + 0.483058i \(0.839526\pi\)
\(138\) −1.10434 + 1.04165i −0.0940073 + 0.0886715i
\(139\) 5.58350 7.00149i 0.473587 0.593859i −0.486459 0.873704i \(-0.661712\pi\)
0.960045 + 0.279845i \(0.0902830\pi\)
\(140\) −0.0462468 + 0.646344i −0.00390857 + 0.0546260i
\(141\) −6.98980 8.76493i −0.588647 0.738140i
\(142\) 3.66349 + 0.521498i 0.307433 + 0.0437632i
\(143\) 1.01642 + 13.5631i 0.0849969 + 1.13421i
\(144\) 2.39007 3.20743i 0.199172 0.267286i
\(145\) 0.218975 0.235998i 0.0181848 0.0195986i
\(146\) 0.277991 0.490743i 0.0230067 0.0406142i
\(147\) −4.50554 + 5.35725i −0.371611 + 0.441858i
\(148\) −0.460657 0.768495i −0.0378657 0.0631699i
\(149\) −15.3083 14.2040i −1.25410 1.16364i −0.979361 0.202118i \(-0.935218\pi\)
−0.274740 0.961518i \(-0.588592\pi\)
\(150\) 5.54766 + 4.35017i 0.452964 + 0.355190i
\(151\) 1.56505 0.117285i 0.127362 0.00954449i −0.0108964 0.999941i \(-0.503469\pi\)
0.138259 + 0.990396i \(0.455849\pi\)
\(152\) 9.06197 3.81637i 0.735023 0.309548i
\(153\) −2.45037 + 1.95411i −0.198101 + 0.157980i
\(154\) −3.53945 + 7.25984i −0.285217 + 0.585015i
\(155\) 0.966622 + 0.770855i 0.0776409 + 0.0619166i
\(156\) 12.2383 3.00528i 0.979849 0.240615i
\(157\) −6.63859 2.60546i −0.529817 0.207938i 0.0853262 0.996353i \(-0.472807\pi\)
−0.615144 + 0.788415i \(0.710902\pi\)
\(158\) 3.46278 15.7662i 0.275484 1.25429i
\(159\) −0.0214171 + 0.285792i −0.00169849 + 0.0226647i
\(160\) 0.653036 0.231148i 0.0516270 0.0182738i
\(161\) −2.54256 1.26550i −0.200382 0.0997355i
\(162\) −0.405752 + 1.35476i −0.0318789 + 0.106440i
\(163\) −2.37847 15.7801i −0.186296 1.23599i −0.865072 0.501648i \(-0.832727\pi\)
0.678776 0.734346i \(-0.262511\pi\)
\(164\) 23.4941 + 1.37363i 1.83458 + 0.107263i
\(165\) −0.132170 0.228925i −0.0102894 0.0178218i
\(166\) 2.80021 1.64746i 0.217338 0.127868i
\(167\) −8.48565 + 4.08647i −0.656639 + 0.316221i −0.732369 0.680908i \(-0.761586\pi\)
0.0757301 + 0.997128i \(0.475871\pi\)
\(168\) 7.17589 + 2.12287i 0.553632 + 0.163783i
\(169\) 24.0577 + 11.5856i 1.85059 + 0.891197i
\(170\) −0.540916 + 0.0449991i −0.0414864 + 0.00345127i
\(171\) −2.54840 + 2.36457i −0.194881 + 0.180823i
\(172\) −2.07508 + 7.14096i −0.158223 + 0.544493i
\(173\) 0.527739 + 0.774051i 0.0401233 + 0.0588500i 0.845776 0.533538i \(-0.179138\pi\)
−0.805653 + 0.592388i \(0.798185\pi\)
\(174\) −2.11948 3.05458i −0.160677 0.231567i
\(175\) −4.05142 + 12.5514i −0.306259 + 0.948797i
\(176\) 8.62673 + 0.362550i 0.650264 + 0.0273282i
\(177\) 5.82269 10.0852i 0.437660 0.758050i
\(178\) −14.3835 + 0.117941i −1.07809 + 0.00884002i
\(179\) 13.9519 20.4636i 1.04281 1.52952i 0.208660 0.977988i \(-0.433090\pi\)
0.834151 0.551536i \(-0.185958\pi\)
\(180\) −0.188956 + 0.155824i −0.0140840 + 0.0116145i
\(181\) 10.8959 2.48692i 0.809887 0.184851i 0.202525 0.979277i \(-0.435085\pi\)
0.607361 + 0.794426i \(0.292228\pi\)
\(182\) 13.1866 + 19.5433i 0.977456 + 1.44865i
\(183\) −5.82395 1.32928i −0.430518 0.0982630i
\(184\) −0.152356 + 3.03236i −0.0112318 + 0.223548i
\(185\) 0.0161706 + 0.0524238i 0.00118889 + 0.00385427i
\(186\) 11.0896 8.99336i 0.813125 0.659425i
\(187\) −6.46476 1.99411i −0.472750 0.145824i
\(188\) −22.2229 2.97774i −1.62077 0.217174i
\(189\) −2.64071 + 0.163326i −0.192083 + 0.0118803i
\(190\) −0.594581 + 0.0946110i −0.0431355 + 0.00686381i
\(191\) −12.2216 + 4.79662i −0.884322 + 0.347071i −0.763657 0.645622i \(-0.776598\pi\)
−0.120665 + 0.992693i \(0.538503\pi\)
\(192\) −0.989437 7.93858i −0.0714065 0.572917i
\(193\) −22.2437 3.35269i −1.60113 0.241332i −0.713084 0.701079i \(-0.752702\pi\)
−0.888050 + 0.459746i \(0.847940\pi\)
\(194\) −5.95563 + 1.89069i −0.427590 + 0.135743i
\(195\) −0.771614 −0.0552564
\(196\) 0.911330 + 13.9703i 0.0650950 + 0.997879i
\(197\) 8.92138 0.635622 0.317811 0.948154i \(-0.397052\pi\)
0.317811 + 0.948154i \(0.397052\pi\)
\(198\) −2.90960 + 0.923688i −0.206777 + 0.0656437i
\(199\) −8.23821 1.24171i −0.583991 0.0880225i −0.149600 0.988747i \(-0.547798\pi\)
−0.434391 + 0.900724i \(0.643037\pi\)
\(200\) 14.0301 1.39918i 0.992080 0.0989373i
\(201\) −11.9840 + 4.70337i −0.845285 + 0.331750i
\(202\) 21.3799 3.40201i 1.50428 0.239365i
\(203\) 3.99273 5.69539i 0.280234 0.399738i
\(204\) −0.832473 + 6.21277i −0.0582848 + 0.434981i
\(205\) −1.37698 0.424742i −0.0961723 0.0296652i
\(206\) 10.4171 8.44799i 0.725791 0.588600i
\(207\) −0.316406 1.02576i −0.0219917 0.0712954i
\(208\) 13.5073 21.2787i 0.936562 1.47542i
\(209\) −7.31601 1.66983i −0.506059 0.115505i
\(210\) −0.395704 0.231015i −0.0273062 0.0159416i
\(211\) −12.4970 + 2.85237i −0.860332 + 0.196365i −0.629855 0.776713i \(-0.716886\pi\)
−0.230477 + 0.973078i \(0.574029\pi\)
\(212\) 0.364676 + 0.442214i 0.0250461 + 0.0303714i
\(213\) −1.47398 + 2.16193i −0.100995 + 0.148133i
\(214\) −2.82771 + 0.0231864i −0.193298 + 0.00158499i
\(215\) 0.227663 0.394325i 0.0155265 0.0268927i
\(216\) 1.28952 + 2.51737i 0.0877405 + 0.171285i
\(217\) 22.9569 + 13.6560i 1.55842 + 0.927031i
\(218\) 8.32622 + 11.9997i 0.563923 + 0.812724i
\(219\) 0.224661 + 0.329517i 0.0151812 + 0.0222667i
\(220\) −0.507680 0.147526i −0.0342278 0.00994620i
\(221\) −14.4764 + 13.4321i −0.973787 + 0.903542i
\(222\) 0.631376 0.0525245i 0.0423752 0.00352521i
\(223\) −13.9549 6.72031i −0.934487 0.450025i −0.0962661 0.995356i \(-0.530690\pi\)
−0.838221 + 0.545330i \(0.816404\pi\)
\(224\) 13.2976 6.86833i 0.888483 0.458910i
\(225\) −4.49133 + 2.16291i −0.299422 + 0.144194i
\(226\) 17.6181 10.3654i 1.17194 0.689494i
\(227\) 5.43738 + 9.41781i 0.360891 + 0.625082i 0.988108 0.153763i \(-0.0491392\pi\)
−0.627216 + 0.778845i \(0.715806\pi\)
\(228\) −0.405820 + 6.94099i −0.0268761 + 0.459678i
\(229\) 2.63992 + 17.5147i 0.174451 + 1.15741i 0.889029 + 0.457851i \(0.151381\pi\)
−0.714578 + 0.699556i \(0.753381\pi\)
\(230\) 0.0533381 0.178089i 0.00351701 0.0117429i
\(231\) −3.50233 4.51112i −0.230436 0.296810i
\(232\) −7.28784 1.47581i −0.478470 0.0968915i
\(233\) 0.195335 2.60657i 0.0127968 0.170762i −0.987143 0.159837i \(-0.948903\pi\)
0.999940 0.0109253i \(-0.00347769\pi\)
\(234\) −1.91156 + 8.70344i −0.124963 + 0.568962i
\(235\) 1.27797 + 0.501565i 0.0833654 + 0.0327185i
\(236\) −5.55434 22.6188i −0.361557 1.47236i
\(237\) 8.92392 + 7.11659i 0.579671 + 0.462272i
\(238\) −11.4454 + 2.55424i −0.741892 + 0.165567i
\(239\) 14.4184 11.4983i 0.932647 0.743761i −0.0341206 0.999418i \(-0.510863\pi\)
0.966768 + 0.255656i \(0.0822916\pi\)
\(240\) −0.0570839 + 0.486502i −0.00368475 + 0.0314036i
\(241\) −28.7975 + 2.15808i −1.85501 + 0.139014i −0.954954 0.296754i \(-0.904096\pi\)
−0.900059 + 0.435768i \(0.856477\pi\)
\(242\) 7.05615 + 5.53305i 0.453587 + 0.355678i
\(243\) −0.733052 0.680173i −0.0470253 0.0436331i
\(244\) −10.2474 + 6.14259i −0.656025 + 0.393239i
\(245\) 0.149804 0.844028i 0.00957061 0.0539230i
\(246\) −8.20215 + 14.4794i −0.522950 + 0.923175i
\(247\) −14.8990 + 16.0573i −0.948002 + 1.02170i
\(248\) 3.56022 28.3330i 0.226074 1.79915i
\(249\) 0.171678 + 2.29089i 0.0108797 + 0.145179i
\(250\) −1.71199 0.243702i −0.108276 0.0154130i
\(251\) −3.03877 3.81050i −0.191805 0.240516i 0.676625 0.736328i \(-0.263442\pi\)
−0.868430 + 0.495812i \(0.834871\pi\)
\(252\) −3.58604 + 3.89105i −0.225899 + 0.245113i
\(253\) 1.44471 1.81161i 0.0908284 0.113895i
\(254\) 6.53290 6.16210i 0.409911 0.386645i
\(255\) 0.140220 0.357276i 0.00878094 0.0223735i
\(256\) −12.4170 10.0905i −0.776060 0.630659i
\(257\) 27.1667 + 2.03586i 1.69461 + 0.126994i 0.886710 0.462325i \(-0.152985\pi\)
0.807901 + 0.589319i \(0.200604\pi\)
\(258\) −3.88380 3.54482i −0.241795 0.220691i
\(259\) 0.500316 + 1.07451i 0.0310881 + 0.0667666i
\(260\) −1.11390 + 1.06807i −0.0690812 + 0.0662389i
\(261\) 2.59958 0.391823i 0.160910 0.0242532i
\(262\) −0.168464 0.342605i −0.0104078 0.0211662i
\(263\) −4.32214 + 2.49539i −0.266515 + 0.153872i −0.627303 0.778776i \(-0.715841\pi\)
0.360788 + 0.932648i \(0.382508\pi\)
\(264\) −2.92173 + 5.36092i −0.179820 + 0.329942i
\(265\) −0.0152276 0.0316205i −0.000935426 0.00194243i
\(266\) −12.4481 + 3.77398i −0.763239 + 0.231397i
\(267\) 4.41302 9.16374i 0.270073 0.560812i
\(268\) −10.7897 + 23.3781i −0.659083 + 1.42804i
\(269\) −12.5267 13.5005i −0.763765 0.823142i 0.224726 0.974422i \(-0.427851\pi\)
−0.988491 + 0.151279i \(0.951661\pi\)
\(270\) −0.0399203 0.168521i −0.00242947 0.0102558i
\(271\) 9.19930 6.27198i 0.558818 0.380996i −0.250723 0.968059i \(-0.580668\pi\)
0.809541 + 0.587063i \(0.199716\pi\)
\(272\) 7.39798 + 10.1211i 0.448568 + 0.613679i
\(273\) −16.5155 + 2.26967i −0.999565 + 0.137366i
\(274\) −25.4203 1.69551i −1.53570 0.102429i
\(275\) −9.31892 5.38028i −0.561952 0.324443i
\(276\) −1.87663 1.04282i −0.112960 0.0627703i
\(277\) 0.113726 + 0.0775370i 0.00683312 + 0.00465875i 0.566732 0.823902i \(-0.308208\pi\)
−0.559899 + 0.828561i \(0.689160\pi\)
\(278\) 11.8267 + 4.53009i 0.709319 + 0.271697i
\(279\) 2.24657 + 9.84288i 0.134499 + 0.589278i
\(280\) −0.891010 + 0.214242i −0.0532480 + 0.0128034i
\(281\) 0.598969 2.62426i 0.0357315 0.156550i −0.953915 0.300078i \(-0.902987\pi\)
0.989646 + 0.143528i \(0.0458446\pi\)
\(282\) 8.82340 13.1723i 0.525426 0.784401i
\(283\) 5.72133 1.76480i 0.340098 0.104906i −0.120002 0.992774i \(-0.538290\pi\)
0.460099 + 0.887867i \(0.347814\pi\)
\(284\) 0.864719 + 5.16125i 0.0513116 + 0.306264i
\(285\) 0.125484 0.406808i 0.00743301 0.0240972i
\(286\) −17.8471 + 7.17389i −1.05532 + 0.424201i
\(287\) −30.7220 5.04080i −1.81346 0.297549i
\(288\) 5.34610 + 1.84912i 0.315022 + 0.108960i
\(289\) 2.62210 + 6.68100i 0.154241 + 0.393000i
\(290\) 0.411809 + 0.194173i 0.0241823 + 0.0114023i
\(291\) 0.658526 4.36904i 0.0386035 0.256117i
\(292\) 0.780438 + 0.164714i 0.0456717 + 0.00963914i
\(293\) 19.1653i 1.11965i 0.828612 + 0.559823i \(0.189131\pi\)
−0.828612 + 0.559823i \(0.810869\pi\)
\(294\) −9.14913 3.78067i −0.533588 0.220493i
\(295\) 1.42609i 0.0830302i
\(296\) 0.838750 0.949778i 0.0487513 0.0552047i
\(297\) 0.321721 2.13448i 0.0186681 0.123855i
\(298\) 12.5952 26.7124i 0.729623 1.54741i
\(299\) −2.47108 6.29622i −0.142906 0.364120i
\(300\) −3.48977 + 9.33930i −0.201482 + 0.539205i
\(301\) 3.71299 9.10974i 0.214013 0.525077i
\(302\) 0.827798 + 2.05938i 0.0476344 + 0.118504i
\(303\) −4.51212 + 14.6279i −0.259215 + 0.840353i
\(304\) 9.02190 + 10.5817i 0.517442 + 0.606904i
\(305\) 0.699040 0.215625i 0.0400269 0.0123467i
\(306\) −3.68253 2.46672i −0.210516 0.141013i
\(307\) −0.0529160 + 0.231840i −0.00302008 + 0.0132318i −0.976416 0.215900i \(-0.930732\pi\)
0.973395 + 0.229132i \(0.0735887\pi\)
\(308\) −11.3003 1.66431i −0.643892 0.0948329i
\(309\) 2.11034 + 9.24599i 0.120053 + 0.525986i
\(310\) −0.625421 + 1.63279i −0.0355215 + 0.0927362i
\(311\) −11.4995 7.84024i −0.652078 0.444579i 0.191568 0.981479i \(-0.438643\pi\)
−0.843646 + 0.536900i \(0.819595\pi\)
\(312\) 9.28782 + 15.2103i 0.525819 + 0.861112i
\(313\) −11.1414 6.43252i −0.629752 0.363587i 0.150904 0.988548i \(-0.451782\pi\)
−0.780656 + 0.624961i \(0.785115\pi\)
\(314\) 0.671205 10.0632i 0.0378783 0.567900i
\(315\) 0.270055 0.179011i 0.0152159 0.0100862i
\(316\) 22.7334 2.07903i 1.27885 0.116954i
\(317\) −1.02910 + 0.701626i −0.0577998 + 0.0394072i −0.591875 0.806030i \(-0.701612\pi\)
0.534075 + 0.845437i \(0.320660\pi\)
\(318\) −0.394389 + 0.0934255i −0.0221162 + 0.00523904i
\(319\) 3.85984 + 4.15992i 0.216110 + 0.232911i
\(320\) 0.591012 + 0.781329i 0.0330385 + 0.0436776i
\(321\) 0.867575 1.80154i 0.0484233 0.100552i
\(322\) 0.617801 3.96869i 0.0344287 0.221167i
\(323\) −4.72743 9.81660i −0.263041 0.546210i
\(324\) −1.99973 + 0.0327968i −0.111096 + 0.00182204i
\(325\) −27.2021 + 15.7051i −1.50890 + 0.871164i
\(326\) 20.2526 9.95851i 1.12169 0.551551i
\(327\) −10.2123 + 1.53925i −0.564740 + 0.0851208i
\(328\) 8.20188 + 32.2560i 0.452873 + 1.78104i
\(329\) 28.8288 + 6.97636i 1.58938 + 0.384619i
\(330\) 0.252016 0.276115i 0.0138730 0.0151996i
\(331\) −0.864879 0.0648137i −0.0475380 0.00356248i 0.0509398 0.998702i \(-0.483778\pi\)
−0.0984779 + 0.995139i \(0.531397\pi\)
\(332\) 3.41889 + 3.06949i 0.187636 + 0.168460i
\(333\) −0.163670 + 0.417025i −0.00896907 + 0.0228528i
\(334\) −9.13937 9.68933i −0.500084 0.530176i
\(335\) 0.982955 1.23259i 0.0537046 0.0673434i
\(336\) 0.209205 + 10.5809i 0.0114131 + 0.577237i
\(337\) 10.3002 + 12.9160i 0.561087 + 0.703581i 0.978758 0.205017i \(-0.0657249\pi\)
−0.417671 + 0.908598i \(0.637154\pi\)
\(338\) −5.32182 + 37.3854i −0.289469 + 2.03350i
\(339\) 1.08015 + 14.4136i 0.0586659 + 0.782842i
\(340\) −0.292121 0.709857i −0.0158425 0.0384974i
\(341\) −14.8231 + 15.9755i −0.802715 + 0.865121i
\(342\) −4.27774 2.42321i −0.231314 0.131032i
\(343\) 0.723714 18.5061i 0.0390769 0.999236i
\(344\) −10.5134 + 0.258668i −0.566845 + 0.0139464i
\(345\) 0.0963632 + 0.0894120i 0.00518802 + 0.00481378i
\(346\) −0.817533 + 1.04258i −0.0439508 + 0.0560493i
\(347\) −23.2624 + 1.74327i −1.24879 + 0.0935838i −0.682662 0.730734i \(-0.739178\pi\)
−0.566127 + 0.824318i \(0.691559\pi\)
\(348\) 3.21038 4.16398i 0.172095 0.223213i
\(349\) 12.2463 9.76611i 0.655530 0.522768i −0.238289 0.971194i \(-0.576587\pi\)
0.893820 + 0.448426i \(0.148015\pi\)
\(350\) −18.6520 0.0900783i −0.996989 0.00481489i
\(351\) −4.92628 3.92858i −0.262946 0.209692i
\(352\) 3.20281 + 11.7833i 0.170710 + 0.628051i
\(353\) 2.04052 + 0.800846i 0.108606 + 0.0426247i 0.419022 0.907976i \(-0.362373\pi\)
−0.310416 + 0.950601i \(0.600468\pi\)
\(354\) 16.0856 + 3.53293i 0.854943 + 0.187773i
\(355\) 0.0239456 0.319532i 0.00127090 0.0169590i
\(356\) −6.31385 19.3373i −0.334633 1.02487i
\(357\) 1.95035 8.05954i 0.103224 0.426556i
\(358\) 33.5535 + 10.0494i 1.77336 + 0.531125i
\(359\) −2.51866 16.7102i −0.132930 0.881932i −0.951527 0.307565i \(-0.900486\pi\)
0.818597 0.574368i \(-0.194752\pi\)
\(360\) −0.290896 0.188018i −0.0153316 0.00990944i
\(361\) 3.45725 + 5.98814i 0.181961 + 0.315165i
\(362\) 8.01468 + 13.6226i 0.421242 + 0.715990i
\(363\) −5.71260 + 2.75104i −0.299834 + 0.144392i
\(364\) −20.7001 + 26.1373i −1.08498 + 1.36997i
\(365\) −0.0440023 0.0211904i −0.00230319 0.00110916i
\(366\) −0.700384 8.41903i −0.0366096 0.440070i
\(367\) 1.45125 1.34656i 0.0757547 0.0702901i −0.641387 0.767218i \(-0.721641\pi\)
0.717141 + 0.696928i \(0.245450\pi\)
\(368\) −4.15257 + 1.09222i −0.216468 + 0.0569360i
\(369\) −6.62865 9.72244i −0.345074 0.506130i
\(370\) −0.0637435 + 0.0442295i −0.00331387 + 0.00229938i
\(371\) −0.418941 0.632010i −0.0217503 0.0328123i
\(372\) 16.8677 + 11.0995i 0.874550 + 0.575480i
\(373\) −0.295005 + 0.510963i −0.0152748 + 0.0264567i −0.873562 0.486713i \(-0.838196\pi\)
0.858287 + 0.513170i \(0.171529\pi\)
\(374\) −0.0784493 9.56729i −0.00405652 0.494713i
\(375\) 0.688806 1.01029i 0.0355698 0.0521713i
\(376\) −5.49573 31.2290i −0.283421 1.61051i
\(377\) 16.1495 3.68602i 0.831742 0.189840i
\(378\) −1.35014 3.48957i −0.0694439 0.179484i
\(379\) −4.94707 1.12914i −0.254114 0.0579998i 0.0935663 0.995613i \(-0.470173\pi\)
−0.347680 + 0.937613i \(0.613030\pi\)
\(380\) −0.381957 0.760963i −0.0195940 0.0390366i
\(381\) 1.87176 + 6.06809i 0.0958930 + 0.310878i
\(382\) −11.6952 14.4212i −0.598380 0.737852i
\(383\) −7.39355 2.28061i −0.377793 0.116534i 0.100042 0.994983i \(-0.468102\pi\)
−0.477835 + 0.878450i \(0.658578\pi\)
\(384\) 10.2772 4.73071i 0.524455 0.241413i
\(385\) 0.647649 + 0.263972i 0.0330072 + 0.0134533i
\(386\) −4.99920 31.4174i −0.254452 1.59910i
\(387\) 3.46115 1.35840i 0.175940 0.0690514i
\(388\) −5.09699 7.21867i −0.258761 0.366473i
\(389\) −29.9985 4.52155i −1.52099 0.229252i −0.665232 0.746636i \(-0.731668\pi\)
−0.855753 + 0.517385i \(0.826906\pi\)
\(390\) −0.330184 1.04007i −0.0167195 0.0526662i
\(391\) 3.36436 0.170143
\(392\) −18.4409 + 7.20648i −0.931406 + 0.363982i
\(393\) 0.269961 0.0136177
\(394\) 3.81758 + 12.0253i 0.192327 + 0.605826i
\(395\) −1.38216 0.208327i −0.0695440 0.0104821i
\(396\) −2.49012 3.52666i −0.125133 0.177221i
\(397\) 4.38553 1.72120i 0.220104 0.0863843i −0.252727 0.967538i \(-0.581327\pi\)
0.472831 + 0.881153i \(0.343232\pi\)
\(398\) −1.85151 11.6358i −0.0928079 0.583250i
\(399\) 1.48923 9.07638i 0.0745548 0.454387i
\(400\) 7.88967 + 18.3128i 0.394483 + 0.915638i
\(401\) 14.4244 + 4.44934i 0.720321 + 0.222190i 0.633178 0.774006i \(-0.281750\pi\)
0.0871429 + 0.996196i \(0.472226\pi\)
\(402\) −11.4679 14.1408i −0.571966 0.705281i
\(403\) 18.7507 + 60.7883i 0.934038 + 3.02808i
\(404\) 13.7344 + 27.3626i 0.683310 + 1.36134i
\(405\) 0.119390 + 0.0272499i 0.00593251 + 0.00135406i
\(406\) 9.38547 + 2.94475i 0.465793 + 0.146145i
\(407\) −0.942786 + 0.215185i −0.0467321 + 0.0106663i
\(408\) −8.73054 + 1.53642i −0.432226 + 0.0760640i
\(409\) 3.75433 5.50658i 0.185639 0.272283i −0.722126 0.691762i \(-0.756835\pi\)
0.907765 + 0.419479i \(0.137787\pi\)
\(410\) −0.0167095 2.03781i −0.000825224 0.100640i
\(411\) 9.00740 15.6013i 0.444302 0.769554i
\(412\) 15.8448 + 10.4264i 0.780619 + 0.513670i
\(413\) 4.19478 + 30.5239i 0.206412 + 1.50198i
\(414\) 1.24725 0.865427i 0.0612991 0.0425334i
\(415\) −0.158478 0.232445i −0.00777938 0.0114103i
\(416\) 34.4620 + 9.10130i 1.68964 + 0.446228i
\(417\) −6.56466 + 6.09111i −0.321473 + 0.298283i
\(418\) −0.879818 10.5759i −0.0430333 0.517286i
\(419\) 28.2486 + 13.6038i 1.38003 + 0.664589i 0.969007 0.247034i \(-0.0794559\pi\)
0.411027 + 0.911623i \(0.365170\pi\)
\(420\) 0.142063 0.632232i 0.00693196 0.0308498i
\(421\) 26.6113 12.8153i 1.29696 0.624582i 0.347265 0.937767i \(-0.387110\pi\)
0.949692 + 0.313185i \(0.101396\pi\)
\(422\) −9.19242 15.6245i −0.447480 0.760587i
\(423\) 5.60538 + 9.70881i 0.272543 + 0.472059i
\(424\) −0.440020 + 0.680784i −0.0213693 + 0.0330618i
\(425\) −2.32860 15.4492i −0.112953 0.749397i
\(426\) −3.54485 1.06169i −0.171748 0.0514390i
\(427\) 14.3279 6.67142i 0.693377 0.322852i
\(428\) −1.24127 3.80160i −0.0599989 0.183757i
\(429\) 1.01642 13.5631i 0.0490730 0.654834i
\(430\) 0.628939 + 0.138135i 0.0303301 + 0.00666149i
\(431\) 21.0825 + 8.27429i 1.01551 + 0.398559i 0.813961 0.580920i \(-0.197307\pi\)
0.201550 + 0.979478i \(0.435402\pi\)
\(432\) −2.84141 + 2.81538i −0.136708 + 0.135455i
\(433\) 11.5968 + 9.24811i 0.557305 + 0.444436i 0.861198 0.508270i \(-0.169715\pi\)
−0.303893 + 0.952706i \(0.598286\pi\)
\(434\) −8.58367 + 36.7877i −0.412029 + 1.76586i
\(435\) −0.251702 + 0.200726i −0.0120682 + 0.00962408i
\(436\) −12.6118 + 16.3579i −0.603995 + 0.783402i
\(437\) 3.72134 0.278876i 0.178016 0.0133404i
\(438\) −0.348027 + 0.443829i −0.0166294 + 0.0212070i
\(439\) −2.77832 2.57790i −0.132602 0.123037i 0.611084 0.791566i \(-0.290734\pi\)
−0.743686 + 0.668529i \(0.766924\pi\)
\(440\) −0.0183898 0.747441i −0.000876697 0.0356328i
\(441\) 5.25367 4.62590i 0.250175 0.220281i
\(442\) −24.3001 13.7652i −1.15584 0.654745i
\(443\) −8.87569 + 9.56572i −0.421697 + 0.454481i −0.907789 0.419426i \(-0.862231\pi\)
0.486093 + 0.873907i \(0.338422\pi\)
\(444\) 0.340973 + 0.828569i 0.0161819 + 0.0393222i
\(445\) 0.0930791 + 1.24205i 0.00441237 + 0.0588790i
\(446\) 3.08697 21.6858i 0.146172 1.02685i
\(447\) 13.0203 + 16.3269i 0.615838 + 0.772237i
\(448\) 14.9482 + 14.9851i 0.706235 + 0.707977i
\(449\) 15.6708 19.6506i 0.739551 0.927368i −0.259715 0.965685i \(-0.583628\pi\)
0.999266 + 0.0383178i \(0.0121999\pi\)
\(450\) −4.83734 5.12842i −0.228034 0.241756i
\(451\) 9.27978 23.6445i 0.436968 1.11338i
\(452\) 21.5107 + 19.3124i 1.01178 + 0.908377i
\(453\) −1.56505 0.117285i −0.0735327 0.00551051i
\(454\) −10.3677 + 11.3592i −0.486582 + 0.533112i
\(455\) 1.61255 1.25195i 0.0755977 0.0586923i
\(456\) −9.52955 + 2.42313i −0.446262 + 0.113473i
\(457\) −39.2065 + 5.90944i −1.83400 + 0.276432i −0.972770 0.231774i \(-0.925547\pi\)
−0.861235 + 0.508206i \(0.830309\pi\)
\(458\) −22.4788 + 11.0532i −1.05037 + 0.516482i
\(459\) 2.71425 1.56707i 0.126690 0.0731447i
\(460\) 0.262874 0.00431129i 0.0122566 0.000201015i
\(461\) 3.94200 + 8.18564i 0.183597 + 0.381243i 0.972371 0.233440i \(-0.0749982\pi\)
−0.788774 + 0.614683i \(0.789284\pi\)
\(462\) 4.58194 6.65123i 0.213171 0.309443i
\(463\) −10.4433 + 21.6858i −0.485343 + 1.00783i 0.504200 + 0.863587i \(0.331788\pi\)
−0.989543 + 0.144239i \(0.953927\pi\)
\(464\) −1.12929 10.4549i −0.0524261 0.485359i
\(465\) −0.840935 0.906313i −0.0389974 0.0420292i
\(466\) 3.59703 0.852088i 0.166629 0.0394722i
\(467\) 13.9999 9.54500i 0.647840 0.441690i −0.194305 0.980941i \(-0.562245\pi\)
0.842145 + 0.539251i \(0.181293\pi\)
\(468\) −12.5495 + 1.14769i −0.580102 + 0.0530519i
\(469\) 17.4135 29.2735i 0.804079 1.35172i
\(470\) −0.129211 + 1.93723i −0.00596005 + 0.0893576i
\(471\) 6.17612 + 3.56579i 0.284581 + 0.164303i
\(472\) 28.1115 17.1657i 1.29394 0.790115i
\(473\) 6.63139 + 4.52121i 0.304912 + 0.207885i
\(474\) −5.77393 + 15.0740i −0.265205 + 0.692373i
\(475\) −3.85628 16.8955i −0.176938 0.775217i
\(476\) −8.34053 14.3344i −0.382287 0.657018i
\(477\) 0.0637729 0.279407i 0.00291996 0.0127932i
\(478\) 21.6686 + 14.5146i 0.991097 + 0.663881i
\(479\) 3.58108 1.10462i 0.163624 0.0504713i −0.211861 0.977300i \(-0.567952\pi\)
0.375485 + 0.926829i \(0.377476\pi\)
\(480\) −0.680193 + 0.131236i −0.0310464 + 0.00599008i
\(481\) −0.832029 + 2.69737i −0.0379373 + 0.122990i
\(482\) −15.2318 37.8933i −0.693788 1.72599i
\(483\) 2.32555 + 1.63032i 0.105816 + 0.0741819i
\(484\) −4.43870 + 11.8788i −0.201759 + 0.539946i
\(485\) 0.197677 + 0.503672i 0.00897604 + 0.0228706i
\(486\) 0.603136 1.27915i 0.0273588 0.0580235i
\(487\) −4.69298 + 31.1359i −0.212659 + 1.41090i 0.586581 + 0.809890i \(0.300473\pi\)
−0.799241 + 0.601011i \(0.794765\pi\)
\(488\) −12.6647 11.1842i −0.573306 0.506286i
\(489\) 15.9583i 0.721662i
\(490\) 1.20179 0.159247i 0.0542911 0.00719405i
\(491\) 39.0037i 1.76021i −0.474778 0.880105i \(-0.657472\pi\)
0.474778 0.880105i \(-0.342528\pi\)
\(492\) −23.0269 4.85990i −1.03813 0.219101i
\(493\) −1.22803 + 8.14745i −0.0553077 + 0.366943i
\(494\) −28.0195 13.2116i −1.26066 0.594416i
\(495\) 0.0965743 + 0.246067i 0.00434069 + 0.0110599i
\(496\) 39.7141 7.32519i 1.78322 0.328911i
\(497\) −0.427359 6.90966i −0.0191697 0.309940i
\(498\) −3.01447 + 1.21171i −0.135082 + 0.0542981i
\(499\) −0.310232 + 1.00575i −0.0138879 + 0.0450234i −0.962252 0.272162i \(-0.912261\pi\)
0.948364 + 0.317185i \(0.102738\pi\)
\(500\) −0.404092 2.41191i −0.0180715 0.107864i
\(501\) 8.99993 2.77611i 0.402087 0.124027i
\(502\) 3.83592 5.72658i 0.171205 0.255590i
\(503\) 4.07782 17.8661i 0.181821 0.796610i −0.798942 0.601408i \(-0.794607\pi\)
0.980763 0.195202i \(-0.0625363\pi\)
\(504\) −6.77935 3.16867i −0.301976 0.141144i
\(505\) −0.417142 1.82762i −0.0185626 0.0813280i
\(506\) 3.06012 + 1.17215i 0.136039 + 0.0521082i
\(507\) −22.0622 15.0418i −0.979818 0.668028i
\(508\) 11.1015 + 6.16899i 0.492551 + 0.273705i
\(509\) 33.7315 + 19.4749i 1.49512 + 0.863208i 0.999984 0.00560688i \(-0.00178474\pi\)
0.495136 + 0.868815i \(0.335118\pi\)
\(510\) 0.541582 + 0.0361229i 0.0239816 + 0.00159955i
\(511\) −1.00415 0.324126i −0.0444210 0.0143385i
\(512\) 8.28786 21.0550i 0.366275 0.930507i
\(513\) 2.87235 1.95834i 0.126817 0.0864627i
\(514\) 8.88081 + 37.4897i 0.391716 + 1.65360i
\(515\) −0.789940 0.851353i −0.0348089 0.0375151i
\(516\) 3.11621 6.75193i 0.137183 0.297237i
\(517\) −10.4997 + 21.8029i −0.461778 + 0.958891i
\(518\) −1.23426 + 1.13418i −0.0542302 + 0.0498331i
\(519\) −0.406478 0.844061i −0.0178424 0.0370502i
\(520\) −1.91633 1.04441i −0.0840365 0.0458003i
\(521\) 21.6625 12.5068i 0.949050 0.547934i 0.0562643 0.998416i \(-0.482081\pi\)
0.892786 + 0.450482i \(0.148748\pi\)
\(522\) 1.64054 + 3.33636i 0.0718045 + 0.146028i
\(523\) 29.2638 4.41080i 1.27962 0.192871i 0.526169 0.850380i \(-0.323628\pi\)
0.753447 + 0.657509i \(0.228390\pi\)
\(524\) 0.389716 0.373681i 0.0170248 0.0163244i
\(525\) 5.87686 11.8074i 0.256487 0.515317i
\(526\) −5.21309 4.75809i −0.227301 0.207463i
\(527\) −31.5539 2.36464i −1.37451 0.103005i
\(528\) −8.47634 1.64425i −0.368885 0.0715567i
\(529\) 7.98186 20.3375i 0.347037 0.884237i
\(530\) 0.0361058 0.0340565i 0.00156834 0.00147932i
\(531\) −7.26078 + 9.10472i −0.315091 + 0.395111i
\(532\) −10.4137 15.1641i −0.451492 0.657445i
\(533\) −46.2280 57.9681i −2.00236 2.51088i
\(534\) 14.2404 + 2.02712i 0.616242 + 0.0877221i
\(535\) 0.0182988 + 0.244181i 0.000791127 + 0.0105569i
\(536\) −36.1288 4.53981i −1.56053 0.196090i
\(537\) −16.8460 + 18.1557i −0.726958 + 0.783474i
\(538\) 12.8373 22.6620i 0.553456 0.977029i
\(539\) 14.6387 + 3.74500i 0.630532 + 0.161308i
\(540\) 0.210070 0.125922i 0.00903997 0.00541880i
\(541\) −25.1456 23.3317i −1.08109 1.00311i −0.999980 0.00640274i \(-0.997962\pi\)
−0.0811134 0.996705i \(-0.525848\pi\)
\(542\) 12.3906 + 9.71607i 0.532223 + 0.417341i
\(543\) −11.1449 + 0.835192i −0.478272 + 0.0358415i
\(544\) −10.4767 + 14.3028i −0.449184 + 0.613229i
\(545\) 0.988796 0.788539i 0.0423554 0.0337773i
\(546\) −10.1265 21.2904i −0.433376 0.911145i
\(547\) 18.2375 + 14.5440i 0.779781 + 0.621854i 0.930320 0.366750i \(-0.119529\pi\)
−0.150539 + 0.988604i \(0.548101\pi\)
\(548\) −8.59228 34.9901i −0.367044 1.49470i
\(549\) 5.56078 + 2.18244i 0.237328 + 0.0931445i
\(550\) 3.26450 14.8635i 0.139199 0.633780i
\(551\) −0.682981 + 9.11374i −0.0290960 + 0.388259i
\(552\) 0.602604 2.97578i 0.0256485 0.126658i
\(553\) −30.1964 0.393449i −1.28408 0.0167312i
\(554\) −0.0558489 + 0.186473i −0.00237279 + 0.00792246i
\(555\) −0.00817662 0.0542484i −0.000347078 0.00230271i
\(556\) −1.04539 + 17.8800i −0.0443345 + 0.758279i
\(557\) 6.06979 + 10.5132i 0.257185 + 0.445458i 0.965487 0.260452i \(-0.0838716\pi\)
−0.708302 + 0.705910i \(0.750538\pi\)
\(558\) −12.3061 + 7.24010i −0.520958 + 0.306498i
\(559\) 21.1079 10.1650i 0.892770 0.429936i
\(560\) −0.670057 1.10933i −0.0283151 0.0468779i
\(561\) 6.09535 + 2.93536i 0.257346 + 0.123931i
\(562\) 3.79359 0.315591i 0.160023 0.0133124i
\(563\) 15.6646 14.5347i 0.660186 0.612563i −0.277218 0.960807i \(-0.589413\pi\)
0.937404 + 0.348244i \(0.113222\pi\)
\(564\) 21.5309 + 6.25663i 0.906615 + 0.263452i
\(565\) −0.997100 1.46248i −0.0419483 0.0615269i
\(566\) 4.82704 + 6.95672i 0.202896 + 0.292413i
\(567\) 2.63555 + 0.232074i 0.110683 + 0.00974621i
\(568\) −6.58694 + 3.37414i −0.276382 + 0.141576i
\(569\) 13.8969 24.0702i 0.582589 1.00907i −0.412582 0.910920i \(-0.635373\pi\)
0.995171 0.0981534i \(-0.0312936\pi\)
\(570\) 0.602041 0.00493658i 0.0252167 0.000206771i
\(571\) −4.37733 + 6.42037i −0.183186 + 0.268684i −0.906837 0.421482i \(-0.861510\pi\)
0.723651 + 0.690166i \(0.242462\pi\)
\(572\) −17.3068 20.9866i −0.723635 0.877495i
\(573\) 12.8000 2.92151i 0.534727 0.122048i
\(574\) −6.35177 43.5679i −0.265118 1.81849i
\(575\) 5.21700 + 1.19075i 0.217564 + 0.0496575i
\(576\) −0.204798 + 7.99738i −0.00853323 + 0.333224i
\(577\) −6.27545 20.3445i −0.261251 0.846954i −0.987239 0.159247i \(-0.949094\pi\)
0.725988 0.687707i \(-0.241383\pi\)
\(578\) −7.88343 + 6.39327i −0.327907 + 0.265925i
\(579\) 21.4955 + 6.63049i 0.893324 + 0.275554i
\(580\) −0.0855117 + 0.638176i −0.00355068 + 0.0264988i
\(581\) −4.07577 4.50906i −0.169091 0.187067i
\(582\) 6.17091 0.981928i 0.255792 0.0407022i
\(583\) 0.575872 0.226013i 0.0238502 0.00936050i
\(584\) 0.111939 + 1.12245i 0.00463207 + 0.0464474i
\(585\) 0.762995 + 0.115003i 0.0315460 + 0.00475479i
\(586\) −25.8332 + 8.20107i −1.06716 + 0.338783i
\(587\) 35.3319 1.45830 0.729151 0.684352i \(-0.239915\pi\)
0.729151 + 0.684352i \(0.239915\pi\)
\(588\) 1.18102 13.9501i 0.0487043 0.575292i
\(589\) −35.0980 −1.44619
\(590\) −1.92226 + 0.610243i −0.0791381 + 0.0251233i
\(591\) −8.82173 1.32966i −0.362878 0.0546950i
\(592\) 1.63914 + 0.724145i 0.0673681 + 0.0297622i
\(593\) −3.87118 + 1.51933i −0.158970 + 0.0623913i −0.443492 0.896278i \(-0.646261\pi\)
0.284522 + 0.958670i \(0.408165\pi\)
\(594\) 3.01477 0.479717i 0.123698 0.0196830i
\(595\) 0.286644 + 0.974161i 0.0117513 + 0.0399367i
\(596\) 41.3959 + 5.54679i 1.69564 + 0.227206i
\(597\) 7.96113 + 2.45568i 0.325827 + 0.100504i
\(598\) 7.42939 6.02506i 0.303811 0.246383i
\(599\) −6.06326 19.6566i −0.247738 0.803148i −0.990966 0.134110i \(-0.957183\pi\)
0.743228 0.669038i \(-0.233294\pi\)
\(600\) −14.0820 0.707525i −0.574893 0.0288846i
\(601\) −31.6776 7.23021i −1.29216 0.294926i −0.479435 0.877578i \(-0.659158\pi\)
−0.812722 + 0.582651i \(0.802015\pi\)
\(602\) 13.8680 + 1.10664i 0.565220 + 0.0451034i
\(603\) 12.5511 2.86472i 0.511122 0.116660i
\(604\) −2.42166 + 1.99704i −0.0985358 + 0.0812585i
\(605\) 0.437394 0.641539i 0.0177826 0.0260823i
\(606\) −21.6481 + 0.177509i −0.879394 + 0.00721080i
\(607\) −23.0025 + 39.8416i −0.933644 + 1.61712i −0.156611 + 0.987660i \(0.550057\pi\)
−0.777034 + 0.629459i \(0.783277\pi\)
\(608\) −10.4028 + 16.6889i −0.421887 + 0.676823i
\(609\) −4.79698 + 5.03669i −0.194384 + 0.204097i
\(610\) 0.589775 + 0.849982i 0.0238793 + 0.0344148i
\(611\) 39.7921 + 58.3643i 1.60982 + 2.36117i
\(612\) 1.74914 6.01930i 0.0707048 0.243316i
\(613\) −12.6916 + 11.7761i −0.512609 + 0.475632i −0.893548 0.448969i \(-0.851792\pi\)
0.380938 + 0.924600i \(0.375601\pi\)
\(614\) −0.335146 + 0.0278809i −0.0135254 + 0.00112518i
\(615\) 1.29829 + 0.625225i 0.0523523 + 0.0252115i
\(616\) −2.59217 15.9440i −0.104442 0.642404i
\(617\) −14.0701 + 6.77580i −0.566440 + 0.272783i −0.695109 0.718904i \(-0.744644\pi\)
0.128669 + 0.991688i \(0.458930\pi\)
\(618\) −11.5598 + 6.80105i −0.465004 + 0.273578i
\(619\) −11.4006 19.7464i −0.458228 0.793674i 0.540640 0.841254i \(-0.318182\pi\)
−0.998867 + 0.0475806i \(0.984849\pi\)
\(620\) −2.46850 0.144326i −0.0991372 0.00579627i
\(621\) 0.159990 + 1.06146i 0.00642017 + 0.0425950i
\(622\) 5.64723 18.8554i 0.226433 0.756032i
\(623\) 5.64570 + 26.3110i 0.226190 + 1.05413i
\(624\) −16.5279 + 19.0279i −0.661644 + 0.761726i
\(625\) 1.85146 24.7060i 0.0740584 0.988240i
\(626\) 3.90295 17.7704i 0.155993 0.710246i
\(627\) 6.98542 + 2.74158i 0.278971 + 0.109488i
\(628\) 13.8516 3.40145i 0.552740 0.135733i
\(629\) −1.09775 0.875426i −0.0437701 0.0349055i
\(630\) 0.356853 + 0.287411i 0.0142174 + 0.0114507i
\(631\) −6.67238 + 5.32104i −0.265623 + 0.211827i −0.747240 0.664555i \(-0.768621\pi\)
0.481616 + 0.876382i \(0.340050\pi\)
\(632\) 12.5303 + 29.7531i 0.498428 + 1.18352i
\(633\) 12.7826 0.957923i 0.508062 0.0380740i
\(634\) −1.38610 1.08690i −0.0550490 0.0431665i
\(635\) −0.570055 0.528933i −0.0226219 0.0209901i
\(636\) −0.294694 0.491627i −0.0116854 0.0194943i
\(637\) 30.8324 31.5398i 1.22162 1.24965i
\(638\) −3.95556 + 6.98284i −0.156602 + 0.276453i
\(639\) 1.77974 1.91810i 0.0704053 0.0758789i
\(640\) −0.800268 + 1.13098i −0.0316334 + 0.0447058i
\(641\) −2.32425 31.0150i −0.0918024 1.22502i −0.832825 0.553537i \(-0.813278\pi\)
0.741022 0.671480i \(-0.234341\pi\)
\(642\) 2.79958 + 0.398520i 0.110491 + 0.0157283i
\(643\) 8.10627 + 10.1649i 0.319680 + 0.400866i 0.915543 0.402220i \(-0.131761\pi\)
−0.595863 + 0.803086i \(0.703190\pi\)
\(644\) 5.61385 0.865511i 0.221217 0.0341059i
\(645\) −0.283892 + 0.355989i −0.0111782 + 0.0140171i
\(646\) 11.2091 10.5729i 0.441015 0.415983i
\(647\) −9.30227 + 23.7018i −0.365710 + 0.931814i 0.623034 + 0.782195i \(0.285900\pi\)
−0.988744 + 0.149619i \(0.952195\pi\)
\(648\) −0.899919 2.68144i −0.0353522 0.105337i
\(649\) −25.0673 1.87853i −0.983976 0.0737388i
\(650\) −32.8094 29.9458i −1.28689 1.17457i
\(651\) −20.6652 16.9250i −0.809931 0.663345i
\(652\) 22.0896 + 23.0375i 0.865096 + 0.902217i
\(653\) −18.9331 + 2.85371i −0.740910 + 0.111674i −0.508643 0.860978i \(-0.669853\pi\)
−0.232268 + 0.972652i \(0.574615\pi\)
\(654\) −6.44475 13.1067i −0.252010 0.512511i
\(655\) −0.0286303 + 0.0165297i −0.00111868 + 0.000645869i
\(656\) −39.9688 + 24.8582i −1.56052 + 0.970552i
\(657\) −0.173040 0.359320i −0.00675091 0.0140184i
\(658\) 2.93265 + 41.8442i 0.114326 + 1.63126i
\(659\) −2.99221 + 6.21338i −0.116560 + 0.242039i −0.951084 0.308932i \(-0.900028\pi\)
0.834524 + 0.550971i \(0.185743\pi\)
\(660\) 0.480022 + 0.221544i 0.0186848 + 0.00862359i
\(661\) −25.4615 27.4410i −0.990338 1.06733i −0.997729 0.0673579i \(-0.978543\pi\)
0.00739077 0.999973i \(-0.497647\pi\)
\(662\) −0.282729 1.19352i −0.0109886 0.0463876i
\(663\) 16.3166 11.1245i 0.633686 0.432040i
\(664\) −2.67444 + 5.92187i −0.103788 + 0.229813i
\(665\) 0.397808 + 1.05377i 0.0154263 + 0.0408633i
\(666\) −0.632153 0.0421639i −0.0244954 0.00163382i
\(667\) −2.44396 1.41102i −0.0946305 0.0546350i
\(668\) 9.14959 16.4653i 0.354008 0.637063i
\(669\) 12.7974 + 8.72512i 0.494776 + 0.337333i
\(670\) 2.08205 + 0.797505i 0.0804365 + 0.0308103i
\(671\) 2.86936 + 12.5715i 0.110770 + 0.485317i
\(672\) −14.1727 + 4.80972i −0.546725 + 0.185539i
\(673\) 2.47123 10.8272i 0.0952589 0.417356i −0.904703 0.426042i \(-0.859908\pi\)
0.999962 + 0.00868554i \(0.00276473\pi\)
\(674\) −13.0022 + 19.4108i −0.500826 + 0.747676i
\(675\) 4.76353 1.46936i 0.183349 0.0565555i
\(676\) −52.6699 + 8.82434i −2.02577 + 0.339398i
\(677\) 1.18105 3.82888i 0.0453916 0.147156i −0.930040 0.367458i \(-0.880228\pi\)
0.975432 + 0.220302i \(0.0707043\pi\)
\(678\) −18.9662 + 7.62375i −0.728394 + 0.292788i
\(679\) 5.71258 + 10.1991i 0.219229 + 0.391405i
\(680\) 0.831828 0.697513i 0.0318992 0.0267484i
\(681\) −3.97299 10.1230i −0.152245 0.387915i
\(682\) −27.8767 13.1442i −1.06745 0.503318i
\(683\) 3.96936 26.3350i 0.151883 1.00768i −0.774900 0.632083i \(-0.782200\pi\)
0.926784 0.375596i \(-0.122562\pi\)
\(684\) 1.43579 6.80298i 0.0548987 0.260118i
\(685\) 2.20609i 0.0842904i
\(686\) 25.2545 6.94350i 0.964220 0.265104i
\(687\) 17.7126i 0.675777i
\(688\) −4.84749 14.0605i −0.184809 0.536053i
\(689\) 0.269142 1.78564i 0.0102535 0.0680274i
\(690\) −0.0792852 + 0.168151i −0.00301833 + 0.00640138i
\(691\) 6.87599 + 17.5197i 0.261575 + 0.666483i 0.999969 0.00788726i \(-0.00251062\pi\)
−0.738394 + 0.674370i \(0.764415\pi\)
\(692\) −1.75514 0.655837i −0.0667206 0.0249312i
\(693\) 2.79086 + 4.98273i 0.106016 + 0.189278i
\(694\) −12.3041 30.6098i −0.467056 1.16193i
\(695\) 0.323246 1.04794i 0.0122614 0.0397505i
\(696\) 6.98648 + 2.54552i 0.264822 + 0.0964877i
\(697\) 35.2414 10.8705i 1.33486 0.411750i
\(698\) 18.4043 + 12.3280i 0.696613 + 0.466622i
\(699\) −0.581642 + 2.54834i −0.0219997 + 0.0963871i
\(700\) −7.86000 25.1799i −0.297080 0.951711i
\(701\) 3.12836 + 13.7062i 0.118156 + 0.517677i 0.999018 + 0.0443035i \(0.0141068\pi\)
−0.880862 + 0.473374i \(0.843036\pi\)
\(702\) 3.18739 8.32133i 0.120300 0.314068i
\(703\) −1.28679 0.877321i −0.0485323 0.0330888i
\(704\) −14.5124 + 9.35936i −0.546957 + 0.352744i
\(705\) −1.18894 0.686434i −0.0447780 0.0258526i
\(706\) −0.206310 + 3.09315i −0.00776458 + 0.116412i
\(707\) −14.3043 37.8911i −0.537969 1.42504i
\(708\) 2.12115 + 23.1940i 0.0797177 + 0.871683i
\(709\) 22.1149 15.0777i 0.830542 0.566254i −0.0717289 0.997424i \(-0.522852\pi\)
0.902270 + 0.431170i \(0.141899\pi\)
\(710\) 0.440950 0.104455i 0.0165486 0.00392013i
\(711\) −7.76357 8.36714i −0.291157 0.313792i
\(712\) 23.3634 16.7853i 0.875579 0.629054i
\(713\) 4.70225 9.76433i 0.176101 0.365677i
\(714\) 11.6982 0.819867i 0.437794 0.0306827i
\(715\) 0.722674 + 1.50065i 0.0270265 + 0.0561211i
\(716\) 0.812284 + 49.5278i 0.0303565 + 1.85094i
\(717\) −15.9711 + 9.22090i −0.596450 + 0.344361i
\(718\) 21.4463 10.5455i 0.800369 0.393554i
\(719\) 43.5570 6.56516i 1.62440 0.244839i 0.727188 0.686438i \(-0.240827\pi\)
0.897213 + 0.441599i \(0.145589\pi\)
\(720\) 0.128956 0.472560i 0.00480589 0.0176113i
\(721\) −19.4120 15.8987i −0.722940 0.592098i
\(722\) −6.59213 + 7.22251i −0.245334 + 0.268794i
\(723\) 28.7975 + 2.15808i 1.07099 + 0.0802598i
\(724\) −14.9326 + 16.6325i −0.554967 + 0.618140i
\(725\) −4.78789 + 12.1994i −0.177818 + 0.453073i
\(726\) −6.15268 6.52292i −0.228347 0.242088i
\(727\) 4.28538 5.37370i 0.158936 0.199299i −0.695987 0.718054i \(-0.745033\pi\)
0.854923 + 0.518755i \(0.173604\pi\)
\(728\) −44.0889 16.7176i −1.63404 0.619595i
\(729\) 0.623490 + 0.781831i 0.0230922 + 0.0289567i
\(730\) 0.00973379 0.0683793i 0.000360264 0.00253083i
\(731\) 0.870852 + 11.6207i 0.0322096 + 0.429808i
\(732\) 11.0485 4.54668i 0.408364 0.168050i
\(733\) −28.0549 + 30.2360i −1.03623 + 1.11679i −0.0431840 + 0.999067i \(0.513750\pi\)
−0.993046 + 0.117724i \(0.962440\pi\)
\(734\) 2.43607 + 1.37996i 0.0899170 + 0.0509352i
\(735\) −0.273926 + 0.812274i −0.0101039 + 0.0299612i
\(736\) −3.24917 5.12996i −0.119766 0.189093i
\(737\) 20.3711 + 18.9016i 0.750380 + 0.696251i
\(738\) 10.2686 13.0952i 0.377992 0.482043i
\(739\) 21.2875 1.59527i 0.783072 0.0586831i 0.322807 0.946465i \(-0.395374\pi\)
0.460265 + 0.887782i \(0.347754\pi\)
\(740\) −0.0868946 0.0669948i −0.00319431 0.00246278i
\(741\) 17.1258 13.6574i 0.629133 0.501717i
\(742\) 0.672630 0.835145i 0.0246930 0.0306591i
\(743\) 13.3281 + 10.6288i 0.488962 + 0.389934i 0.836703 0.547656i \(-0.184480\pi\)
−0.347741 + 0.937590i \(0.613051\pi\)
\(744\) −7.74327 + 27.4859i −0.283882 + 1.00768i
\(745\) −2.38054 0.934293i −0.0872162 0.0342299i
\(746\) −0.814974 0.178995i −0.0298383 0.00655347i
\(747\) 0.171678 2.29089i 0.00628139 0.0838193i
\(748\) 12.8624 4.19972i 0.470295 0.153557i
\(749\) 1.10991 + 5.17259i 0.0405553 + 0.189002i
\(750\) 1.65654 + 0.496138i 0.0604885 + 0.0181164i
\(751\) 0.446925 + 2.96515i 0.0163085 + 0.108200i 0.995504 0.0947191i \(-0.0301953\pi\)
−0.979196 + 0.202919i \(0.934957\pi\)
\(752\) 39.7425 20.7711i 1.44926 0.757444i
\(753\) 2.43690 + 4.22084i 0.0888057 + 0.153816i
\(754\) 11.8791 + 20.1910i 0.432610 + 0.735311i
\(755\) 0.173161 0.0833897i 0.00630196 0.00303486i
\(756\) 4.12592 3.31312i 0.150058 0.120497i
\(757\) 44.5508 + 21.4546i 1.61923 + 0.779779i 0.999985 0.00542092i \(-0.00172554\pi\)
0.619242 + 0.785200i \(0.287440\pi\)
\(758\) −0.594931 7.15142i −0.0216088 0.259751i
\(759\) −1.69858 + 1.57606i −0.0616547 + 0.0572072i
\(760\) 0.862273 0.840475i 0.0312779 0.0304872i
\(761\) 0.725763 + 1.06450i 0.0263089 + 0.0385881i 0.839168 0.543872i \(-0.183042\pi\)
−0.812859 + 0.582460i \(0.802090\pi\)
\(762\) −7.37835 + 5.11960i −0.267289 + 0.185463i
\(763\) 18.8446 19.7863i 0.682222 0.716312i
\(764\) 14.4341 21.9353i 0.522206 0.793590i
\(765\) −0.191903 + 0.332387i −0.00693828 + 0.0120175i
\(766\) −0.0897201 10.9418i −0.00324172 0.395344i
\(767\) −41.3347 + 60.6269i −1.49251 + 2.18911i
\(768\) 10.7744 + 11.8285i 0.388786 + 0.426824i
\(769\) 8.16401 1.86338i 0.294402 0.0671952i −0.0727691 0.997349i \(-0.523184\pi\)
0.367171 + 0.930154i \(0.380326\pi\)
\(770\) −0.0786757 + 0.985936i −0.00283528 + 0.0355307i
\(771\) −26.5598 6.06211i −0.956529 0.218321i
\(772\) 40.2089