Properties

Label 576.2.bl.a.155.9
Level $576$
Weight $2$
Character 576.155
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bl (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 155.9
Character \(\chi\) \(=\) 576.155
Dual form 576.2.bl.a.275.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.35486 + 0.405404i) q^{2} +(0.810003 - 1.53098i) q^{3} +(1.67130 - 1.09853i) q^{4} +(-0.190356 - 0.560771i) q^{5} +(-0.476777 + 2.40264i) q^{6} +(-1.38116 + 1.05980i) q^{7} +(-1.81903 + 2.16591i) q^{8} +(-1.68779 - 2.48019i) q^{9} +O(q^{10})\) \(q+(-1.35486 + 0.405404i) q^{2} +(0.810003 - 1.53098i) q^{3} +(1.67130 - 1.09853i) q^{4} +(-0.190356 - 0.560771i) q^{5} +(-0.476777 + 2.40264i) q^{6} +(-1.38116 + 1.05980i) q^{7} +(-1.81903 + 2.16591i) q^{8} +(-1.68779 - 2.48019i) q^{9} +(0.485244 + 0.682595i) q^{10} +(-0.168568 - 2.57185i) q^{11} +(-0.328073 - 3.44853i) q^{12} +(-4.98069 + 4.36795i) q^{13} +(1.44163 - 1.99581i) q^{14} +(-1.01272 - 0.162795i) q^{15} +(1.58646 - 3.67194i) q^{16} +(-3.24939 - 3.24939i) q^{17} +(3.29220 + 2.67608i) q^{18} +(0.0330210 + 0.166008i) q^{19} +(-0.934165 - 0.728102i) q^{20} +(0.503789 + 2.97296i) q^{21} +(1.27102 + 3.41616i) q^{22} +(-5.65405 - 4.33850i) q^{23} +(1.84254 + 4.53928i) q^{24} +(3.68854 - 2.83032i) q^{25} +(4.97736 - 7.93715i) q^{26} +(-5.16424 + 0.575010i) q^{27} +(-1.14410 + 3.28848i) q^{28} +(-1.27224 - 2.57985i) q^{29} +(1.43809 - 0.189995i) q^{30} +(3.97508 + 6.88504i) q^{31} +(-0.660815 + 5.61812i) q^{32} +(-4.07399 - 1.82513i) q^{33} +(5.71979 + 3.08516i) q^{34} +(0.857216 + 0.572774i) q^{35} +(-5.54537 - 2.29105i) q^{36} +(-1.20923 - 0.240530i) q^{37} +(-0.112039 - 0.211531i) q^{38} +(2.65286 + 11.1634i) q^{39} +(1.56084 + 0.607763i) q^{40} +(-3.83076 + 4.99235i) q^{41} +(-1.88781 - 3.82371i) q^{42} +(-0.331939 - 5.06442i) q^{43} +(-3.10698 - 4.11315i) q^{44} +(-1.06954 + 1.41858i) q^{45} +(9.41929 + 3.58590i) q^{46} +(1.62319 + 6.05784i) q^{47} +(-4.33663 - 5.40312i) q^{48} +(-1.02731 + 3.83398i) q^{49} +(-3.85004 + 5.33003i) q^{50} +(-7.60677 + 2.34273i) q^{51} +(-3.52588 + 12.7716i) q^{52} +(-4.13952 - 6.19522i) q^{53} +(6.76371 - 2.87266i) q^{54} +(-1.41013 + 0.584095i) q^{55} +(0.216935 - 4.91926i) q^{56} +(0.280902 + 0.0839124i) q^{57} +(2.76959 + 2.97956i) q^{58} +(4.47299 - 1.51838i) q^{59} +(-1.87138 + 0.840422i) q^{60} +(-6.79790 - 13.7848i) q^{61} +(-8.17690 - 7.71676i) q^{62} +(4.95962 + 1.63682i) q^{63} +(-1.38229 - 7.87967i) q^{64} +(3.39752 + 1.96156i) q^{65} +(6.25960 + 0.821190i) q^{66} +(-0.155884 + 2.37833i) q^{67} +(-9.00025 - 1.86114i) q^{68} +(-11.2220 + 5.14203i) q^{69} +(-1.39361 - 0.428510i) q^{70} +(3.86052 - 9.32012i) q^{71} +(8.44200 + 0.855937i) q^{72} +(-4.40458 - 10.6336i) q^{73} +(1.73585 - 0.164340i) q^{74} +(-1.34543 - 7.93964i) q^{75} +(0.237553 + 0.241174i) q^{76} +(2.95847 + 3.37348i) q^{77} +(-8.11993 - 14.0493i) q^{78} +(1.73273 + 6.46663i) q^{79} +(-2.36111 - 0.190664i) q^{80} +(-3.30272 + 8.37210i) q^{81} +(3.16624 - 8.31694i) q^{82} +(0.817428 - 2.40806i) q^{83} +(4.10787 + 4.41527i) q^{84} +(-1.20362 + 2.44070i) q^{85} +(2.50286 + 6.72701i) q^{86} +(-4.98021 - 0.141911i) q^{87} +(5.87701 + 4.31316i) q^{88} +(-2.37984 + 5.74543i) q^{89} +(0.873977 - 2.35558i) q^{90} +(2.24997 - 11.3114i) q^{91} +(-14.2156 - 1.03978i) q^{92} +(13.7607 - 0.508862i) q^{93} +(-4.65507 - 7.54949i) q^{94} +(0.0868066 - 0.0501178i) q^{95} +(8.06597 + 5.56239i) q^{96} +(-9.57960 - 5.53079i) q^{97} +(-0.162444 - 5.61098i) q^{98} +(-6.09418 + 4.75883i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504 q - 24 q^{2} - 16 q^{3} - 8 q^{4} - 24 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{9} + O(q^{10}) \) \( 1504 q - 24 q^{2} - 16 q^{3} - 8 q^{4} - 24 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{9} - 32 q^{10} - 24 q^{11} - 16 q^{12} - 8 q^{13} - 24 q^{14} - 16 q^{15} - 8 q^{16} - 16 q^{18} - 32 q^{19} - 24 q^{20} - 16 q^{21} - 8 q^{22} - 24 q^{23} - 96 q^{24} - 8 q^{25} - 16 q^{27} - 32 q^{28} - 24 q^{29} + 64 q^{30} - 16 q^{31} - 24 q^{32} - 8 q^{34} + 64 q^{36} - 32 q^{37} - 24 q^{38} - 16 q^{39} - 8 q^{40} - 24 q^{41} - 96 q^{42} - 8 q^{43} - 16 q^{45} - 32 q^{46} - 24 q^{47} - 16 q^{48} - 8 q^{49} - 24 q^{50} - 16 q^{51} - 8 q^{52} - 16 q^{54} - 32 q^{55} - 24 q^{56} - 16 q^{57} + 64 q^{58} - 24 q^{59} - 16 q^{60} - 8 q^{61} - 32 q^{64} - 48 q^{65} - 8 q^{67} - 24 q^{68} - 16 q^{69} - 8 q^{70} - 16 q^{72} - 32 q^{73} - 24 q^{74} - 16 q^{75} - 56 q^{76} - 24 q^{77} - 40 q^{78} - 8 q^{79} - 16 q^{81} - 32 q^{82} - 24 q^{83} - 128 q^{84} - 8 q^{85} - 24 q^{86} - 16 q^{87} - 8 q^{88} - 160 q^{90} - 32 q^{91} - 480 q^{92} + 8 q^{93} - 8 q^{94} - 48 q^{95} - 152 q^{96} - 16 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{9}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.35486 + 0.405404i −0.958031 + 0.286664i
\(3\) 0.810003 1.53098i 0.467655 0.883911i
\(4\) 1.67130 1.09853i 0.835648 0.549265i
\(5\) −0.190356 0.560771i −0.0851298 0.250784i 0.896026 0.444001i \(-0.146441\pi\)
−0.981156 + 0.193217i \(0.938108\pi\)
\(6\) −0.476777 + 2.40264i −0.194643 + 0.980874i
\(7\) −1.38116 + 1.05980i −0.522029 + 0.400567i −0.835886 0.548904i \(-0.815045\pi\)
0.313857 + 0.949470i \(0.398379\pi\)
\(8\) −1.81903 + 2.16591i −0.643123 + 0.765763i
\(9\) −1.68779 2.48019i −0.562597 0.826731i
\(10\) 0.485244 + 0.682595i 0.153448 + 0.215856i
\(11\) −0.168568 2.57185i −0.0508251 0.775442i −0.944866 0.327457i \(-0.893808\pi\)
0.894041 0.447985i \(-0.147858\pi\)
\(12\) −0.328073 3.44853i −0.0947066 0.995505i
\(13\) −4.98069 + 4.36795i −1.38139 + 1.21145i −0.430248 + 0.902711i \(0.641574\pi\)
−0.951147 + 0.308739i \(0.900093\pi\)
\(14\) 1.44163 1.99581i 0.385292 0.533402i
\(15\) −1.01272 0.162795i −0.261482 0.0420334i
\(16\) 1.58646 3.67194i 0.396615 0.917985i
\(17\) −3.24939 3.24939i −0.788093 0.788093i 0.193088 0.981181i \(-0.438150\pi\)
−0.981181 + 0.193088i \(0.938150\pi\)
\(18\) 3.29220 + 2.67608i 0.775979 + 0.630758i
\(19\) 0.0330210 + 0.166008i 0.00757555 + 0.0380848i 0.984388 0.176011i \(-0.0563195\pi\)
−0.976813 + 0.214096i \(0.931319\pi\)
\(20\) −0.934165 0.728102i −0.208886 0.162808i
\(21\) 0.503789 + 2.97296i 0.109936 + 0.648754i
\(22\) 1.27102 + 3.41616i 0.270983 + 0.728328i
\(23\) −5.65405 4.33850i −1.17895 0.904641i −0.182048 0.983290i \(-0.558273\pi\)
−0.996902 + 0.0786490i \(0.974939\pi\)
\(24\) 1.84254 + 4.53928i 0.376107 + 0.926576i
\(25\) 3.68854 2.83032i 0.737708 0.566063i
\(26\) 4.97736 7.93715i 0.976140 1.55660i
\(27\) −5.16424 + 0.575010i −0.993858 + 0.110661i
\(28\) −1.14410 + 3.28848i −0.216215 + 0.621465i
\(29\) −1.27224 2.57985i −0.236249 0.479066i 0.746170 0.665756i \(-0.231891\pi\)
−0.982419 + 0.186690i \(0.940224\pi\)
\(30\) 1.43809 0.189995i 0.262558 0.0346881i
\(31\) 3.97508 + 6.88504i 0.713946 + 1.23659i 0.963365 + 0.268194i \(0.0864270\pi\)
−0.249419 + 0.968396i \(0.580240\pi\)
\(32\) −0.660815 + 5.61812i −0.116817 + 0.993153i
\(33\) −4.07399 1.82513i −0.709190 0.317715i
\(34\) 5.71979 + 3.08516i 0.980936 + 0.529100i
\(35\) 0.857216 + 0.572774i 0.144896 + 0.0968164i
\(36\) −5.54537 2.29105i −0.924228 0.381841i
\(37\) −1.20923 0.240530i −0.198796 0.0395429i 0.0946880 0.995507i \(-0.469815\pi\)
−0.293484 + 0.955964i \(0.594815\pi\)
\(38\) −0.112039 0.211531i −0.0181751 0.0343148i
\(39\) 2.65286 + 11.1634i 0.424798 + 1.78757i
\(40\) 1.56084 + 0.607763i 0.246790 + 0.0960957i
\(41\) −3.83076 + 4.99235i −0.598265 + 0.779674i −0.990100 0.140362i \(-0.955173\pi\)
0.391836 + 0.920035i \(0.371840\pi\)
\(42\) −1.88781 3.82371i −0.291296 0.590012i
\(43\) −0.331939 5.06442i −0.0506203 0.772316i −0.945421 0.325851i \(-0.894349\pi\)
0.894801 0.446465i \(-0.147317\pi\)
\(44\) −3.10698 4.11315i −0.468395 0.620080i
\(45\) −1.06954 + 1.41858i −0.159437 + 0.211470i
\(46\) 9.41929 + 3.58590i 1.38880 + 0.528712i
\(47\) 1.62319 + 6.05784i 0.236767 + 0.883627i 0.977344 + 0.211656i \(0.0678856\pi\)
−0.740577 + 0.671971i \(0.765448\pi\)
\(48\) −4.33663 5.40312i −0.625938 0.779873i
\(49\) −1.02731 + 3.83398i −0.146759 + 0.547711i
\(50\) −3.85004 + 5.33003i −0.544477 + 0.753780i
\(51\) −7.60677 + 2.34273i −1.06516 + 0.328048i
\(52\) −3.52588 + 12.7716i −0.488952 + 1.77110i
\(53\) −4.13952 6.19522i −0.568606 0.850980i 0.430050 0.902805i \(-0.358496\pi\)
−0.998656 + 0.0518256i \(0.983496\pi\)
\(54\) 6.76371 2.87266i 0.920425 0.390919i
\(55\) −1.41013 + 0.584095i −0.190142 + 0.0787593i
\(56\) 0.216935 4.91926i 0.0289891 0.657364i
\(57\) 0.280902 + 0.0839124i 0.0372064 + 0.0111145i
\(58\) 2.76959 + 2.97956i 0.363665 + 0.391236i
\(59\) 4.47299 1.51838i 0.582334 0.197676i −0.0146996 0.999892i \(-0.504679\pi\)
0.597034 + 0.802216i \(0.296346\pi\)
\(60\) −1.87138 + 0.840422i −0.241595 + 0.108498i
\(61\) −6.79790 13.7848i −0.870382 1.76496i −0.595220 0.803563i \(-0.702935\pi\)
−0.275163 0.961398i \(-0.588732\pi\)
\(62\) −8.17690 7.71676i −1.03847 0.980030i
\(63\) 4.95962 + 1.63682i 0.624853 + 0.206220i
\(64\) −1.38229 7.87967i −0.172787 0.984959i
\(65\) 3.39752 + 1.96156i 0.421410 + 0.243301i
\(66\) 6.25960 + 0.821190i 0.770504 + 0.101081i
\(67\) −0.155884 + 2.37833i −0.0190443 + 0.290560i 0.977704 + 0.209986i \(0.0673419\pi\)
−0.996749 + 0.0805736i \(0.974325\pi\)
\(68\) −9.00025 1.86114i −1.09144 0.225696i
\(69\) −11.2220 + 5.14203i −1.35096 + 0.619027i
\(70\) −1.39361 0.428510i −0.166569 0.0512167i
\(71\) 3.86052 9.32012i 0.458160 1.10610i −0.510982 0.859591i \(-0.670718\pi\)
0.969142 0.246504i \(-0.0792818\pi\)
\(72\) 8.44200 + 0.855937i 0.994899 + 0.100873i
\(73\) −4.40458 10.6336i −0.515518 1.24457i −0.940631 0.339430i \(-0.889766\pi\)
0.425114 0.905140i \(-0.360234\pi\)
\(74\) 1.73585 0.164340i 0.201788 0.0191041i
\(75\) −1.34543 7.93964i −0.155356 0.916790i
\(76\) 0.237553 + 0.241174i 0.0272492 + 0.0276645i
\(77\) 2.95847 + 3.37348i 0.337148 + 0.384444i
\(78\) −8.11993 14.0493i −0.919401 1.59077i
\(79\) 1.73273 + 6.46663i 0.194947 + 0.727553i 0.992281 + 0.124014i \(0.0395767\pi\)
−0.797333 + 0.603539i \(0.793757\pi\)
\(80\) −2.36111 0.190664i −0.263980 0.0213169i
\(81\) −3.30272 + 8.37210i −0.366969 + 0.930233i
\(82\) 3.16624 8.31694i 0.349652 0.918452i
\(83\) 0.817428 2.40806i 0.0897244 0.264319i −0.892800 0.450453i \(-0.851262\pi\)
0.982524 + 0.186134i \(0.0595958\pi\)
\(84\) 4.10787 + 4.41527i 0.448206 + 0.481746i
\(85\) −1.20362 + 2.44070i −0.130551 + 0.264732i
\(86\) 2.50286 + 6.72701i 0.269891 + 0.725392i
\(87\) −4.98021 0.141911i −0.533935 0.0152144i
\(88\) 5.87701 + 4.31316i 0.626492 + 0.459784i
\(89\) −2.37984 + 5.74543i −0.252262 + 0.609014i −0.998386 0.0567926i \(-0.981913\pi\)
0.746124 + 0.665807i \(0.231913\pi\)
\(90\) 0.873977 2.35558i 0.0921252 0.248300i
\(91\) 2.24997 11.3114i 0.235861 1.18575i
\(92\) −14.2156 1.03978i −1.48208 0.108404i
\(93\) 13.7607 0.508862i 1.42692 0.0527666i
\(94\) −4.65507 7.54949i −0.480134 0.778670i
\(95\) 0.0868066 0.0501178i 0.00890617 0.00514198i
\(96\) 8.06597 + 5.56239i 0.823229 + 0.567709i
\(97\) −9.57960 5.53079i −0.972661 0.561566i −0.0726147 0.997360i \(-0.523134\pi\)
−0.900047 + 0.435794i \(0.856468\pi\)
\(98\) −0.162444 5.61098i −0.0164094 0.566795i
\(99\) −6.09418 + 4.75883i −0.612488 + 0.478280i
\(100\) 3.05545 8.78227i 0.305545 0.878227i
\(101\) 2.81009 + 2.46438i 0.279614 + 0.245215i 0.787653 0.616119i \(-0.211296\pi\)
−0.508039 + 0.861334i \(0.669629\pi\)
\(102\) 9.35636 6.25789i 0.926417 0.619623i
\(103\) 3.28314 0.432233i 0.323497 0.0425892i 0.0329711 0.999456i \(-0.489503\pi\)
0.290526 + 0.956867i \(0.406170\pi\)
\(104\) −0.400563 18.7331i −0.0392784 1.83693i
\(105\) 1.57125 0.848432i 0.153338 0.0827985i
\(106\) 8.12004 + 6.71549i 0.788688 + 0.652266i
\(107\) 3.63432 + 5.43914i 0.351343 + 0.525822i 0.964480 0.264155i \(-0.0850929\pi\)
−0.613138 + 0.789976i \(0.710093\pi\)
\(108\) −7.99931 + 6.63409i −0.769734 + 0.638365i
\(109\) 13.5891 2.70303i 1.30160 0.258903i 0.504844 0.863211i \(-0.331550\pi\)
0.796751 + 0.604307i \(0.206550\pi\)
\(110\) 1.67374 1.36304i 0.159584 0.129961i
\(111\) −1.34772 + 1.65647i −0.127920 + 0.157225i
\(112\) 1.70037 + 6.75286i 0.160670 + 0.638085i
\(113\) −1.77506 0.475626i −0.166984 0.0447432i 0.174359 0.984682i \(-0.444215\pi\)
−0.341342 + 0.939939i \(0.610882\pi\)
\(114\) −0.414601 0.000188986i −0.0388310 1.77001e-5i
\(115\) −1.35662 + 3.99648i −0.126506 + 0.372674i
\(116\) −4.96033 2.91409i −0.460555 0.270567i
\(117\) 19.2397 + 4.98089i 1.77871 + 0.460483i
\(118\) −5.44473 + 3.87056i −0.501228 + 0.356314i
\(119\) 7.93163 + 1.04422i 0.727091 + 0.0957234i
\(120\) 2.19475 1.89732i 0.200353 0.173201i
\(121\) 4.31990 0.568725i 0.392718 0.0517023i
\(122\) 14.7986 + 15.9206i 1.33980 + 1.44138i
\(123\) 4.54025 + 9.90863i 0.409381 + 0.893431i
\(124\) 14.2070 + 7.14019i 1.27582 + 0.641208i
\(125\) −4.75127 3.17470i −0.424966 0.283953i
\(126\) −7.38316 0.207015i −0.657744 0.0184423i
\(127\) 20.8901i 1.85370i 0.375436 + 0.926848i \(0.377493\pi\)
−0.375436 + 0.926848i \(0.622507\pi\)
\(128\) 5.06727 + 10.1155i 0.447887 + 0.894090i
\(129\) −8.02238 3.59400i −0.706332 0.316434i
\(130\) −5.39839 1.28027i −0.473470 0.112287i
\(131\) 9.40598 + 0.616500i 0.821804 + 0.0538639i 0.470503 0.882399i \(-0.344073\pi\)
0.351301 + 0.936262i \(0.385739\pi\)
\(132\) −8.81380 + 1.42507i −0.767143 + 0.124036i
\(133\) −0.221543 0.194288i −0.0192102 0.0168469i
\(134\) −0.752983 3.28551i −0.0650478 0.283825i
\(135\) 1.30549 + 2.78650i 0.112359 + 0.239823i
\(136\) 12.9486 1.12715i 1.11033 0.0966524i
\(137\) 2.23033 16.9410i 0.190550 1.44737i −0.582399 0.812903i \(-0.697886\pi\)
0.772949 0.634468i \(-0.218781\pi\)
\(138\) 13.1196 11.5162i 1.11681 0.980320i
\(139\) −5.58419 + 11.3236i −0.473645 + 0.960457i 0.520648 + 0.853771i \(0.325690\pi\)
−0.994293 + 0.106685i \(0.965976\pi\)
\(140\) 2.06187 + 0.0155957i 0.174260 + 0.00131808i
\(141\) 10.5892 + 2.42179i 0.891773 + 0.203952i
\(142\) −1.45206 + 14.1925i −0.121854 + 1.19101i
\(143\) 12.0733 + 12.0733i 1.00962 + 1.00962i
\(144\) −11.7847 + 2.26274i −0.982061 + 0.188562i
\(145\) −1.20452 + 1.20452i −0.100030 + 0.100030i
\(146\) 10.2785 + 12.6214i 0.850655 + 1.04456i
\(147\) 5.03761 + 4.67832i 0.415495 + 0.385862i
\(148\) −2.28521 + 0.926377i −0.187843 + 0.0761477i
\(149\) −15.3381 7.56394i −1.25655 0.619662i −0.312642 0.949871i \(-0.601214\pi\)
−0.943908 + 0.330209i \(0.892881\pi\)
\(150\) 5.04162 + 10.2117i 0.411647 + 0.833779i
\(151\) 5.95770 + 0.784346i 0.484831 + 0.0638292i 0.368980 0.929437i \(-0.379707\pi\)
0.115851 + 0.993267i \(0.463040\pi\)
\(152\) −0.419624 0.230452i −0.0340360 0.0186921i
\(153\) −2.57482 + 13.5434i −0.208162 + 1.09492i
\(154\) −5.37593 3.37123i −0.433205 0.271661i
\(155\) 3.10425 3.53972i 0.249339 0.284317i
\(156\) 16.6970 + 15.7431i 1.33683 + 1.26045i
\(157\) 1.20935 18.4511i 0.0965166 1.47256i −0.625251 0.780423i \(-0.715004\pi\)
0.721768 0.692135i \(-0.243330\pi\)
\(158\) −4.96920 8.05893i −0.395329 0.641134i
\(159\) −12.8378 + 1.31936i −1.01810 + 0.104632i
\(160\) 3.27627 0.698878i 0.259012 0.0552511i
\(161\) 12.4071 0.977815
\(162\) 1.08065 12.6820i 0.0849036 0.996389i
\(163\) 9.74007 14.5770i 0.762901 1.14176i −0.223063 0.974804i \(-0.571606\pi\)
0.985964 0.166958i \(-0.0533945\pi\)
\(164\) −0.918091 + 12.5519i −0.0716909 + 0.980139i
\(165\) −0.247972 + 2.63200i −0.0193046 + 0.204901i
\(166\) −0.131263 + 3.59398i −0.0101880 + 0.278947i
\(167\) 0.285773 + 2.17066i 0.0221138 + 0.167971i 0.998938 0.0460715i \(-0.0146702\pi\)
−0.976824 + 0.214043i \(0.931337\pi\)
\(168\) −7.35557 4.31674i −0.567494 0.333043i
\(169\) 4.03146 30.6220i 0.310112 2.35554i
\(170\) 0.641270 3.79477i 0.0491832 0.291045i
\(171\) 0.355999 0.362085i 0.0272239 0.0276894i
\(172\) −6.11819 8.09949i −0.466507 0.617580i
\(173\) 6.97275 + 2.36693i 0.530128 + 0.179954i 0.573654 0.819098i \(-0.305526\pi\)
−0.0435252 + 0.999052i \(0.513859\pi\)
\(174\) 6.80502 1.82673i 0.515888 0.138484i
\(175\) −2.09489 + 7.81823i −0.158359 + 0.591002i
\(176\) −9.71110 3.46117i −0.732002 0.260895i
\(177\) 1.29853 8.07795i 0.0976038 0.607176i
\(178\) 0.895128 8.74905i 0.0670927 0.655769i
\(179\) −3.03053 15.2355i −0.226513 1.13876i −0.911848 0.410528i \(-0.865344\pi\)
0.685335 0.728228i \(-0.259656\pi\)
\(180\) −0.229157 + 3.54579i −0.0170804 + 0.264288i
\(181\) −8.30659 + 5.55028i −0.617424 + 0.412549i −0.824569 0.565761i \(-0.808583\pi\)
0.207146 + 0.978310i \(0.433583\pi\)
\(182\) 1.53727 + 16.2375i 0.113950 + 1.20360i
\(183\) −26.6105 0.758266i −1.96711 0.0560526i
\(184\) 19.6816 4.35429i 1.45095 0.321002i
\(185\) 0.0953014 + 0.723886i 0.00700670 + 0.0532211i
\(186\) −18.4375 + 6.26807i −1.35190 + 0.459597i
\(187\) −7.80920 + 8.90469i −0.571066 + 0.651175i
\(188\) 9.36756 + 8.34132i 0.683200 + 0.608353i
\(189\) 6.52323 6.26724i 0.474496 0.455875i
\(190\) −0.0972930 + 0.103094i −0.00705837 + 0.00747926i
\(191\) 0.544469 0.943047i 0.0393964 0.0682365i −0.845655 0.533730i \(-0.820790\pi\)
0.885051 + 0.465494i \(0.154123\pi\)
\(192\) −13.1833 4.26629i −0.951421 0.307893i
\(193\) 2.10271 + 3.64199i 0.151356 + 0.262156i 0.931726 0.363161i \(-0.118303\pi\)
−0.780370 + 0.625318i \(0.784969\pi\)
\(194\) 15.2212 + 3.60984i 1.09282 + 0.259171i
\(195\) 5.75510 3.61266i 0.412132 0.258708i
\(196\) 2.49480 + 7.53625i 0.178200 + 0.538303i
\(197\) 23.0247 + 4.57990i 1.64044 + 0.326304i 0.927187 0.374599i \(-0.122220\pi\)
0.713256 + 0.700903i \(0.247220\pi\)
\(198\) 6.32752 8.91815i 0.449677 0.633785i
\(199\) −10.0108 4.14660i −0.709645 0.293944i −0.00148704 0.999999i \(-0.500473\pi\)
−0.708157 + 0.706055i \(0.750473\pi\)
\(200\) −0.579349 + 13.1374i −0.0409661 + 0.928957i
\(201\) 3.51491 + 2.16511i 0.247923 + 0.152715i
\(202\) −4.80635 2.19967i −0.338173 0.154768i
\(203\) 4.49129 + 2.21486i 0.315227 + 0.155453i
\(204\) −10.1396 + 12.2717i −0.709913 + 0.859189i
\(205\) 3.52877 + 1.19786i 0.246460 + 0.0836619i
\(206\) −4.27296 + 1.91661i −0.297711 + 0.133537i
\(207\) −1.21747 + 21.3456i −0.0846203 + 1.48362i
\(208\) 8.13717 + 25.2184i 0.564211 + 1.74858i
\(209\) 0.421381 0.112909i 0.0291476 0.00781006i
\(210\) −1.78487 + 1.78650i −0.123168 + 0.123280i
\(211\) 18.8020 16.4889i 1.29438 1.13514i 0.311631 0.950203i \(-0.399125\pi\)
0.982750 0.184939i \(-0.0592087\pi\)
\(212\) −13.7240 5.80667i −0.942568 0.398804i
\(213\) −11.1419 13.4597i −0.763429 0.922243i
\(214\) −7.12904 5.89591i −0.487331 0.403036i
\(215\) −2.77679 + 1.15018i −0.189375 + 0.0784419i
\(216\) 8.14846 12.2312i 0.554433 0.832229i
\(217\) −12.7870 5.29654i −0.868037 0.359553i
\(218\) −17.3155 + 9.17128i −1.17275 + 0.621158i
\(219\) −19.8476 1.86992i −1.34117 0.126358i
\(220\) −1.71510 + 2.52527i −0.115632 + 0.170253i
\(221\) 30.3774 + 1.99104i 2.04340 + 0.133932i
\(222\) 1.15444 2.79066i 0.0774809 0.187297i
\(223\) 6.78606 11.7538i 0.454428 0.787092i −0.544227 0.838938i \(-0.683177\pi\)
0.998655 + 0.0518457i \(0.0165104\pi\)
\(224\) −5.04140 8.45985i −0.336843 0.565248i
\(225\) −13.2452 4.37131i −0.883014 0.291420i
\(226\) 2.59778 0.0752088i 0.172802 0.00500281i
\(227\) −11.1767 + 5.51172i −0.741821 + 0.365826i −0.773604 0.633669i \(-0.781548\pi\)
0.0317832 + 0.999495i \(0.489881\pi\)
\(228\) 0.561650 0.168337i 0.0371962 0.0111484i
\(229\) −6.14679 18.1079i −0.406191 1.19660i −0.937067 0.349151i \(-0.886470\pi\)
0.530875 0.847450i \(-0.321863\pi\)
\(230\) 0.217847 5.96466i 0.0143644 0.393298i
\(231\) 7.56109 1.79682i 0.497484 0.118222i
\(232\) 7.90194 + 1.93726i 0.518788 + 0.127187i
\(233\) 8.36165 + 20.1868i 0.547790 + 1.32248i 0.919119 + 0.393981i \(0.128902\pi\)
−0.371329 + 0.928502i \(0.621098\pi\)
\(234\) −28.0864 + 1.05144i −1.83607 + 0.0687348i
\(235\) 3.08808 2.06339i 0.201444 0.134600i
\(236\) 5.80771 7.45138i 0.378050 0.485043i
\(237\) 11.3038 + 2.58522i 0.734260 + 0.167928i
\(238\) −11.1696 + 1.80074i −0.724017 + 0.116725i
\(239\) −9.76792 2.61731i −0.631834 0.169299i −0.0713323 0.997453i \(-0.522725\pi\)
−0.560502 + 0.828153i \(0.689392\pi\)
\(240\) −2.20441 + 3.46037i −0.142294 + 0.223366i
\(241\) 5.03941 1.35031i 0.324617 0.0869809i −0.0928303 0.995682i \(-0.529591\pi\)
0.417448 + 0.908701i \(0.362925\pi\)
\(242\) −5.62230 + 2.52185i −0.361415 + 0.162110i
\(243\) 10.1423 + 11.8378i 0.650629 + 0.759396i
\(244\) −26.5043 15.5707i −1.69677 0.996815i
\(245\) 2.34554 0.153735i 0.149851 0.00982174i
\(246\) −10.1684 11.5842i −0.648314 0.738580i
\(247\) −0.889581 0.682600i −0.0566027 0.0434328i
\(248\) −22.1431 3.91441i −1.40609 0.248566i
\(249\) −3.02458 3.20200i −0.191675 0.202919i
\(250\) 7.72434 + 2.37509i 0.488530 + 0.150214i
\(251\) 4.25548 21.3937i 0.268603 1.35036i −0.577085 0.816684i \(-0.695810\pi\)
0.845689 0.533676i \(-0.179190\pi\)
\(252\) 10.0871 2.71268i 0.635426 0.170883i
\(253\) −10.2049 + 15.2727i −0.641576 + 0.960186i
\(254\) −8.46892 28.3032i −0.531387 1.77590i
\(255\) 2.76173 + 3.81970i 0.172946 + 0.239199i
\(256\) −10.9663 11.6508i −0.685393 0.728173i
\(257\) −21.2154 + 12.2487i −1.32338 + 0.764055i −0.984267 0.176690i \(-0.943461\pi\)
−0.339116 + 0.940745i \(0.610128\pi\)
\(258\) 12.3262 + 1.61706i 0.767398 + 0.100674i
\(259\) 1.92505 0.949329i 0.119617 0.0589884i
\(260\) 7.83309 0.453935i 0.485788 0.0281518i
\(261\) −4.25125 + 7.50965i −0.263146 + 0.464836i
\(262\) −12.9937 + 2.97794i −0.802755 + 0.183978i
\(263\) 9.68702 + 12.6244i 0.597327 + 0.778452i 0.989976 0.141236i \(-0.0451077\pi\)
−0.392648 + 0.919689i \(0.628441\pi\)
\(264\) 11.3637 5.50391i 0.699390 0.338742i
\(265\) −2.68612 + 3.50062i −0.165007 + 0.215041i
\(266\) 0.378924 + 0.173419i 0.0232333 + 0.0106330i
\(267\) 6.86846 + 8.29729i 0.420343 + 0.507786i
\(268\) 2.35214 + 4.14614i 0.143680 + 0.253266i
\(269\) −11.0827 + 2.20448i −0.675722 + 0.134410i −0.521011 0.853550i \(-0.674445\pi\)
−0.154712 + 0.987960i \(0.549445\pi\)
\(270\) −2.89842 3.24606i −0.176392 0.197549i
\(271\) −3.64224 + 3.64224i −0.221250 + 0.221250i −0.809025 0.587775i \(-0.800004\pi\)
0.587775 + 0.809025i \(0.300004\pi\)
\(272\) −17.0866 + 6.77654i −1.03603 + 0.410888i
\(273\) −15.4950 12.6069i −0.937798 0.763003i
\(274\) 3.84617 + 23.8569i 0.232356 + 1.44125i
\(275\) −7.90091 9.00927i −0.476443 0.543279i
\(276\) −13.1065 + 20.9215i −0.788920 + 1.25933i
\(277\) −1.25006 + 0.0819335i −0.0751091 + 0.00492291i −0.102911 0.994691i \(-0.532816\pi\)
0.0278023 + 0.999613i \(0.491149\pi\)
\(278\) 2.97517 17.6058i 0.178439 1.05592i
\(279\) 10.3671 21.4795i 0.620664 1.28594i
\(280\) −2.79987 + 0.814760i −0.167324 + 0.0486912i
\(281\) −5.15330 6.71591i −0.307420 0.400637i 0.613937 0.789355i \(-0.289585\pi\)
−0.921357 + 0.388718i \(0.872918\pi\)
\(282\) −15.3287 + 1.01171i −0.912812 + 0.0602467i
\(283\) 7.55239 2.56369i 0.448943 0.152396i −0.0878058 0.996138i \(-0.527986\pi\)
0.536749 + 0.843742i \(0.319652\pi\)
\(284\) −3.78637 19.8176i −0.224680 1.17596i
\(285\) −0.00641574 0.173495i −0.000380036 0.0102769i
\(286\) −21.2522 11.4631i −1.25667 0.677825i
\(287\) 10.9551i 0.646657i
\(288\) 15.0494 7.84327i 0.886792 0.462169i
\(289\) 4.11709i 0.242182i
\(290\) 1.14364 2.12028i 0.0671571 0.124507i
\(291\) −16.2270 + 10.1862i −0.951245 + 0.597127i
\(292\) −19.0427 12.9333i −1.11439 0.756866i
\(293\) 0.909886 0.308865i 0.0531561 0.0180441i −0.294735 0.955579i \(-0.595231\pi\)
0.347891 + 0.937535i \(0.386898\pi\)
\(294\) −8.72188 4.29621i −0.508670 0.250560i
\(295\) −1.70292 2.21929i −0.0991479 0.129212i
\(296\) 2.72058 2.18154i 0.158131 0.126800i
\(297\) 2.34936 + 13.1847i 0.136324 + 0.765055i
\(298\) 23.8475 + 4.02994i 1.38145 + 0.233448i
\(299\) 47.1114 3.08784i 2.72452 0.178575i
\(300\) −10.9705 11.7915i −0.633384 0.680782i
\(301\) 5.82573 + 6.64297i 0.335789 + 0.382894i
\(302\) −8.38983 + 1.35259i −0.482781 + 0.0778330i
\(303\) 6.04909 2.30603i 0.347511 0.132478i
\(304\) 0.661958 + 0.142114i 0.0379659 + 0.00815078i
\(305\) −6.43608 + 6.43608i −0.368529 + 0.368529i
\(306\) −2.00202 19.3933i −0.114448 1.10864i
\(307\) −27.6037 + 5.49073i −1.57543 + 0.313372i −0.903946 0.427647i \(-0.859343\pi\)
−0.671483 + 0.741020i \(0.734343\pi\)
\(308\) 8.65035 + 2.38812i 0.492899 + 0.136076i
\(309\) 1.99761 5.37652i 0.113640 0.305860i
\(310\) −2.77081 + 6.05430i −0.157371 + 0.343861i
\(311\) −4.78255 + 6.23274i −0.271194 + 0.353426i −0.909019 0.416755i \(-0.863167\pi\)
0.637825 + 0.770181i \(0.279834\pi\)
\(312\) −29.0044 14.5606i −1.64205 0.824332i
\(313\) 0.735584 + 0.958632i 0.0415777 + 0.0541851i 0.813679 0.581314i \(-0.197461\pi\)
−0.772102 + 0.635499i \(0.780794\pi\)
\(314\) 5.84164 + 25.4890i 0.329663 + 1.43842i
\(315\) −0.0262131 3.09278i −0.00147694 0.174259i
\(316\) 9.99970 + 8.90420i 0.562527 + 0.500900i
\(317\) −7.15039 + 3.52618i −0.401606 + 0.198050i −0.631864 0.775080i \(-0.717710\pi\)
0.230258 + 0.973130i \(0.426043\pi\)
\(318\) 16.8585 6.99203i 0.945379 0.392094i
\(319\) −6.42052 + 3.70689i −0.359480 + 0.207546i
\(320\) −4.15556 + 2.27509i −0.232303 + 0.127182i
\(321\) 11.2710 1.15834i 0.629087 0.0646525i
\(322\) −16.8099 + 5.02987i −0.936777 + 0.280304i
\(323\) 0.432127 0.646723i 0.0240442 0.0359846i
\(324\) 3.67719 + 17.6204i 0.204288 + 0.978911i
\(325\) −6.00879 + 30.2083i −0.333308 + 1.67565i
\(326\) −7.28685 + 23.6985i −0.403582 + 1.31254i
\(327\) 6.86889 22.9940i 0.379850 1.27157i
\(328\) −3.84470 17.3783i −0.212288 0.959555i
\(329\) −8.66199 6.64658i −0.477551 0.366438i
\(330\) −0.731053 3.66652i −0.0402432 0.201835i
\(331\) 0.566210 0.0371114i 0.0311217 0.00203983i −0.0498343 0.998757i \(-0.515869\pi\)
0.0809560 + 0.996718i \(0.474203\pi\)
\(332\) −1.27917 4.92256i −0.0702035 0.270160i
\(333\) 1.44436 + 3.40508i 0.0791506 + 0.186597i
\(334\) −1.26718 2.82509i −0.0693369 0.154582i
\(335\) 1.36337 0.365315i 0.0744890 0.0199593i
\(336\) 11.7158 + 2.86660i 0.639149 + 0.156386i
\(337\) −26.2465 7.03273i −1.42974 0.383097i −0.540810 0.841145i \(-0.681882\pi\)
−0.888928 + 0.458048i \(0.848549\pi\)
\(338\) 6.95219 + 43.1229i 0.378149 + 2.34557i
\(339\) −2.16598 + 2.33232i −0.117640 + 0.126674i
\(340\) 0.669580 + 5.40136i 0.0363131 + 0.292930i
\(341\) 17.0372 11.3839i 0.922617 0.616473i
\(342\) −0.335539 + 0.634899i −0.0181439 + 0.0343314i
\(343\) −7.30790 17.6428i −0.394589 0.952623i
\(344\) 11.5729 + 8.49335i 0.623966 + 0.457931i
\(345\) 5.01966 + 5.31412i 0.270250 + 0.286103i
\(346\) −10.4067 0.380083i −0.559466 0.0204334i
\(347\) −6.14641 18.1067i −0.329957 0.972021i −0.977672 0.210138i \(-0.932609\pi\)
0.647715 0.761883i \(-0.275725\pi\)
\(348\) −8.47930 + 5.23374i −0.454538 + 0.280558i
\(349\) 2.99330 1.47613i 0.160228 0.0790156i −0.360407 0.932795i \(-0.617362\pi\)
0.520634 + 0.853780i \(0.325695\pi\)
\(350\) −0.331256 11.4419i −0.0177064 0.611594i
\(351\) 23.2098 25.4211i 1.23885 1.35688i
\(352\) 14.5604 + 0.752482i 0.776070 + 0.0401074i
\(353\) −4.45728 + 7.72023i −0.237237 + 0.410907i −0.959920 0.280273i \(-0.909575\pi\)
0.722683 + 0.691179i \(0.242908\pi\)
\(354\) 1.51550 + 11.4709i 0.0805477 + 0.609673i
\(355\) −5.96132 0.390726i −0.316394 0.0207376i
\(356\) 2.33412 + 12.2166i 0.123708 + 0.647481i
\(357\) 8.02332 11.2973i 0.424639 0.597918i
\(358\) 10.2825 + 19.4134i 0.543446 + 1.02603i
\(359\) −22.9790 9.51822i −1.21279 0.502353i −0.317677 0.948199i \(-0.602903\pi\)
−0.895109 + 0.445846i \(0.852903\pi\)
\(360\) −1.12700 4.89696i −0.0593982 0.258092i
\(361\) 17.5272 7.26002i 0.922486 0.382106i
\(362\) 9.00417 10.8874i 0.473248 0.572228i
\(363\) 2.62842 7.07434i 0.137956 0.371307i
\(364\) −8.66551 21.3763i −0.454196 1.12042i
\(365\) −5.12457 + 4.49413i −0.268233 + 0.235234i
\(366\) 36.3610 9.76066i 1.90062 0.510198i
\(367\) 20.2323 5.42122i 1.05612 0.282985i 0.311339 0.950299i \(-0.399223\pi\)
0.744777 + 0.667314i \(0.232556\pi\)
\(368\) −24.9006 + 13.8785i −1.29804 + 0.723465i
\(369\) 18.8475 + 1.07499i 0.981162 + 0.0559618i
\(370\) −0.422586 0.942129i −0.0219692 0.0489789i
\(371\) 12.2830 + 4.16953i 0.637703 + 0.216471i
\(372\) 22.4392 15.9670i 1.16342 0.827850i
\(373\) −9.39601 4.63360i −0.486507 0.239919i 0.182457 0.983214i \(-0.441595\pi\)
−0.668964 + 0.743295i \(0.733262\pi\)
\(374\) 6.97039 15.2305i 0.360430 0.787550i
\(375\) −8.70893 + 4.70258i −0.449727 + 0.242840i
\(376\) −16.0733 7.50368i −0.828920 0.386973i
\(377\) 17.6053 + 7.29234i 0.906717 + 0.375575i
\(378\) −6.29731 + 11.1358i −0.323899 + 0.572763i
\(379\) −0.885609 0.176159i −0.0454907 0.00904865i 0.172293 0.985046i \(-0.444883\pi\)
−0.217783 + 0.975997i \(0.569883\pi\)
\(380\) 0.0900236 0.179122i 0.00461811 0.00918874i
\(381\) 31.9823 + 16.9210i 1.63850 + 0.866891i
\(382\) −0.355365 + 1.49843i −0.0181820 + 0.0766662i
\(383\) −1.12518 1.94886i −0.0574938 0.0995822i 0.835846 0.548964i \(-0.184978\pi\)
−0.893340 + 0.449382i \(0.851644\pi\)
\(384\) 19.5911 + 0.435686i 0.999753 + 0.0222335i
\(385\) 1.32859 2.30118i 0.0677111 0.117279i
\(386\) −4.32535 4.08195i −0.220155 0.207766i
\(387\) −12.0005 + 9.37095i −0.610019 + 0.476352i
\(388\) −22.0861 + 1.27991i −1.12125 + 0.0649775i
\(389\) −16.7918 + 19.1474i −0.851379 + 0.970811i −0.999836 0.0181075i \(-0.994236\pi\)
0.148457 + 0.988919i \(0.452569\pi\)
\(390\) −6.33278 + 7.22779i −0.320673 + 0.365994i
\(391\) 4.27472 + 32.4697i 0.216182 + 1.64206i
\(392\) −6.43533 9.19916i −0.325033 0.464628i
\(393\) 8.56271 13.9010i 0.431932 0.701212i
\(394\) −33.0520 + 3.12917i −1.66514 + 0.157645i
\(395\) 3.29646 2.20263i 0.165863 0.110826i
\(396\) −4.95746 + 14.6481i −0.249121 + 0.736092i
\(397\) −1.42526 7.16526i −0.0715317 0.359614i 0.928397 0.371591i \(-0.121188\pi\)
−0.999928 + 0.0119767i \(0.996188\pi\)
\(398\) 15.2442 + 1.55966i 0.764125 + 0.0781787i
\(399\) −0.476900 + 0.181803i −0.0238749 + 0.00910156i
\(400\) −4.54103 18.0343i −0.227051 0.901714i
\(401\) −9.11954 + 34.0346i −0.455408 + 1.69961i 0.231477 + 0.972840i \(0.425644\pi\)
−0.686886 + 0.726766i \(0.741023\pi\)
\(402\) −5.63996 1.50847i −0.281296 0.0752355i
\(403\) −49.8721 16.9293i −2.48431 0.843309i
\(404\) 7.40368 + 1.03174i 0.368347 + 0.0513310i
\(405\) 5.32352 + 0.258389i 0.264528 + 0.0128394i
\(406\) −6.98298 1.18004i −0.346560 0.0585644i
\(407\) −0.414771 + 3.15050i −0.0205594 + 0.156164i
\(408\) 8.76276 20.7370i 0.433821 1.02664i
\(409\) 3.13112 + 23.7832i 0.154824 + 1.17600i 0.875671 + 0.482909i \(0.160420\pi\)
−0.720847 + 0.693094i \(0.756247\pi\)
\(410\) −5.26661 0.192352i −0.260099 0.00949960i
\(411\) −24.1298 17.1369i −1.19024 0.845300i
\(412\) 5.01227 4.32902i 0.246937 0.213275i
\(413\) −4.56873 + 6.83759i −0.224813 + 0.336456i
\(414\) −7.00408 29.4139i −0.344232 1.44562i
\(415\) −1.50597 −0.0739254
\(416\) −21.2483 30.8685i −1.04179 1.51345i
\(417\) 12.8130 + 17.7214i 0.627456 + 0.867822i
\(418\) −0.525139 + 0.323805i −0.0256854 + 0.0158378i
\(419\) −2.57275 + 39.2525i −0.125687 + 1.91761i 0.213585 + 0.976924i \(0.431486\pi\)
−0.339272 + 0.940688i \(0.610181\pi\)
\(420\) 1.69400 3.14405i 0.0826586 0.153414i
\(421\) 3.16004 3.60334i 0.154011 0.175616i −0.669689 0.742642i \(-0.733573\pi\)
0.823700 + 0.567026i \(0.191906\pi\)
\(422\) −18.7894 + 29.9625i −0.914654 + 1.45855i
\(423\) 12.2850 14.2502i 0.597318 0.692869i
\(424\) 20.9482 + 2.30347i 1.01733 + 0.111866i
\(425\) −21.1823 2.78870i −1.02749 0.135272i
\(426\) 20.5523 + 13.7191i 0.995762 + 0.664691i
\(427\) 23.9981 + 11.8345i 1.16135 + 0.572714i
\(428\) 12.0491 + 5.09800i 0.582414 + 0.246421i
\(429\) 28.2633 8.70455i 1.36457 0.420260i
\(430\) 3.29587 2.68406i 0.158941 0.129437i
\(431\) 5.62153 5.62153i 0.270779 0.270779i −0.558634 0.829414i \(-0.688675\pi\)
0.829414 + 0.558634i \(0.188675\pi\)
\(432\) −6.08146 + 19.8750i −0.292594 + 0.956237i
\(433\) −1.46627 1.46627i −0.0704646 0.0704646i 0.670996 0.741461i \(-0.265867\pi\)
−0.741461 + 0.670996i \(0.765867\pi\)
\(434\) 19.4718 + 1.99219i 0.934677 + 0.0956281i
\(435\) 0.868433 + 2.81977i 0.0416382 + 0.135198i
\(436\) 19.7420 19.4456i 0.945469 0.931273i
\(437\) 0.533524 1.08188i 0.0255219 0.0517533i
\(438\) 27.6487 5.51278i 1.32111 0.263411i
\(439\) −0.499467 + 3.79383i −0.0238383 + 0.181070i −0.999222 0.0394461i \(-0.987441\pi\)
0.975383 + 0.220516i \(0.0707740\pi\)
\(440\) 1.29997 4.11669i 0.0619735 0.196256i
\(441\) 11.2429 3.92303i 0.535376 0.186811i
\(442\) −41.9643 + 9.61752i −1.99604 + 0.457459i
\(443\) 11.4595 + 10.0497i 0.544457 + 0.477476i 0.886835 0.462087i \(-0.152899\pi\)
−0.342378 + 0.939562i \(0.611232\pi\)
\(444\) −0.432761 + 4.24897i −0.0205379 + 0.201647i
\(445\) 3.67488 + 0.240865i 0.174206 + 0.0114181i
\(446\) −4.42913 + 18.6758i −0.209725 + 0.884327i
\(447\) −24.0042 + 17.3556i −1.13536 + 0.820890i
\(448\) 10.2600 + 9.41812i 0.484742 + 0.444964i
\(449\) 31.3676i 1.48033i 0.672426 + 0.740165i \(0.265252\pi\)
−0.672426 + 0.740165i \(0.734748\pi\)
\(450\) 19.7176 + 0.552856i 0.929495 + 0.0260619i
\(451\) 13.4853 + 9.01060i 0.634998 + 0.424292i
\(452\) −3.48914 + 1.15505i −0.164115 + 0.0543289i
\(453\) 6.02657 8.48579i 0.283153 0.398697i
\(454\) 12.9083 11.9987i 0.605819 0.563125i
\(455\) −6.77137 + 0.891468i −0.317447 + 0.0417927i
\(456\) −0.692714 + 0.455768i −0.0324393 + 0.0213433i
\(457\) −12.3953 1.63187i −0.579827 0.0763357i −0.165093 0.986278i \(-0.552792\pi\)
−0.414735 + 0.909942i \(0.636126\pi\)
\(458\) 15.6690 + 22.0417i 0.732166 + 1.02994i
\(459\) 18.6491 + 14.9122i 0.870464 + 0.696042i
\(460\) 2.12294 + 8.16960i 0.0989827 + 0.380910i
\(461\) −0.264548 + 0.779333i −0.0123212 + 0.0362972i −0.952917 0.303232i \(-0.901934\pi\)
0.940596 + 0.339529i \(0.110268\pi\)
\(462\) −9.51580 + 5.49973i −0.442715 + 0.255871i
\(463\) 20.7722 + 5.56589i 0.965365 + 0.258669i 0.706870 0.707344i \(-0.250107\pi\)
0.258495 + 0.966013i \(0.416773\pi\)
\(464\) −11.4914 + 0.578764i −0.533475 + 0.0268684i
\(465\) −2.90478 7.61972i −0.134706 0.353356i
\(466\) −19.5127 23.9605i −0.903908 1.10995i
\(467\) 32.2161 6.40819i 1.49078 0.296535i 0.618597 0.785708i \(-0.287701\pi\)
0.872187 + 0.489173i \(0.162701\pi\)
\(468\) 37.6269 12.8109i 1.73930 0.592183i
\(469\) −2.30526 3.45006i −0.106447 0.159309i
\(470\) −3.34741 + 4.04752i −0.154404 + 0.186698i
\(471\) −27.2687 16.7969i −1.25647 0.773962i
\(472\) −4.84783 + 12.4500i −0.223139 + 0.573060i
\(473\) −12.9690 + 1.70740i −0.596314 + 0.0785062i
\(474\) −16.3631 + 1.07999i −0.751583 + 0.0496054i
\(475\) 0.591654 + 0.518867i 0.0271470 + 0.0238072i
\(476\) 14.4032 6.96794i 0.660170 0.319375i
\(477\) −8.37871 + 20.7231i −0.383635 + 0.948843i
\(478\) 14.2952 0.413864i 0.653849 0.0189297i
\(479\) −7.74484 4.47148i −0.353871 0.204307i 0.312518 0.949912i \(-0.398828\pi\)
−0.666389 + 0.745604i \(0.732161\pi\)
\(480\) 1.58382 5.58199i 0.0722911 0.254782i
\(481\) 7.07341 4.08383i 0.322520 0.186207i
\(482\) −6.28029 + 3.87247i −0.286059 + 0.176386i
\(483\) 10.0498 18.9950i 0.457280 0.864301i
\(484\) 6.59506 5.69605i 0.299776 0.258911i
\(485\) −1.27797 + 6.42478i −0.0580295 + 0.291734i
\(486\) −18.5405 11.9269i −0.841014 0.541014i
\(487\) −10.1571 + 24.5214i −0.460261 + 1.11117i 0.508029 + 0.861340i \(0.330374\pi\)
−0.968290 + 0.249829i \(0.919626\pi\)
\(488\) 42.2221 + 10.3513i 1.91130 + 0.468579i
\(489\) −14.4277 26.7193i −0.652441 1.20829i
\(490\) −3.11555 + 1.15918i −0.140746 + 0.0523663i
\(491\) 15.0180 30.4535i 0.677752 1.37435i −0.237469 0.971395i \(-0.576318\pi\)
0.915222 0.402951i \(-0.132015\pi\)
\(492\) 18.4730 + 11.5726i 0.832829 + 0.521735i
\(493\) −4.24893 + 12.5169i −0.191362 + 0.563735i
\(494\) 1.48199 + 0.564188i 0.0666778 + 0.0253840i
\(495\) 3.82867 + 2.51156i 0.172086 + 0.112886i
\(496\) 31.5878 3.67341i 1.41833 0.164941i
\(497\) 4.54548 + 16.9639i 0.203892 + 0.760937i
\(498\) 5.39598 + 3.11209i 0.241800 + 0.139456i
\(499\) −2.80139 3.19438i −0.125408 0.143000i 0.685728 0.727857i \(-0.259484\pi\)
−0.811136 + 0.584857i \(0.801150\pi\)
\(500\) −11.4283 0.0864419i −0.511088 0.00386580i
\(501\) 3.55472 + 1.32073i 0.158813 + 0.0590059i
\(502\) 2.90751 + 30.7107i 0.129769 + 1.37069i
\(503\) −3.40879 8.22954i −0.151990 0.366937i 0.829484 0.558530i \(-0.188635\pi\)
−0.981474 + 0.191593i \(0.938635\pi\)
\(504\) −12.5669 + 7.76465i −0.559772 + 0.345865i
\(505\) 0.847035 2.04492i 0.0376926 0.0909979i
\(506\) 7.63460 24.8295i 0.339399 1.10380i
\(507\) −43.6161 30.9759i −1.93706 1.37569i
\(508\) 22.9484 + 34.9135i 1.01817 + 1.54904i
\(509\) 0.906187 13.8257i 0.0401660 0.612815i −0.929568 0.368651i \(-0.879820\pi\)
0.969734 0.244164i \(-0.0785136\pi\)
\(510\) −5.29028 4.05554i −0.234257 0.179582i
\(511\) 17.3529 + 10.0187i 0.767648 + 0.443202i
\(512\) 19.5811 + 11.3394i 0.865369 + 0.501136i
\(513\) −0.265985 0.838318i −0.0117435 0.0370126i
\(514\) 23.7783 25.1961i 1.04881 1.11135i
\(515\) −0.867348 1.75881i −0.0382199 0.0775023i
\(516\) −17.3559 + 2.80620i −0.764051 + 0.123536i
\(517\) 15.3062 5.19577i 0.673168 0.228510i
\(518\) −2.22331 + 2.06663i −0.0976867 + 0.0908025i
\(519\) 9.27167 8.75791i 0.406981 0.384430i
\(520\) −10.4287 + 3.79058i −0.457330 + 0.166228i
\(521\) −26.2304 + 10.8650i −1.14917 + 0.476003i −0.874256 0.485464i \(-0.838651\pi\)
−0.274917 + 0.961468i \(0.588651\pi\)
\(522\) 2.71541 11.8980i 0.118850 0.520761i
\(523\) −4.72578 7.07263i −0.206644 0.309264i 0.713642 0.700510i \(-0.247044\pi\)
−0.920286 + 0.391246i \(0.872044\pi\)
\(524\) 16.3974 9.30240i 0.716324 0.406377i
\(525\) 10.2727 + 9.54001i 0.448336 + 0.416360i
\(526\) −18.2425 13.1771i −0.795412 0.574550i
\(527\) 9.45560 35.2888i 0.411893 1.53720i
\(528\) −13.1650 + 12.0639i −0.572933 + 0.525016i
\(529\) 7.19281 + 26.8439i 0.312731 + 1.16713i
\(530\) 2.22015 5.83181i 0.0964373 0.253318i
\(531\) −11.3153 8.53118i −0.491044 0.370222i
\(532\) −0.583694 0.0813408i −0.0253063 0.00352657i
\(533\) −2.72647 41.5979i −0.118097 1.80180i
\(534\) −12.6696 8.45718i −0.548265 0.365978i
\(535\) 2.35830 3.07339i 0.101958 0.132874i
\(536\) −4.86769 4.66388i −0.210252 0.201449i
\(537\) −25.7800 7.70113i −1.11249 0.332328i
\(538\) 14.1218 7.47972i 0.608833 0.322474i
\(539\) 10.0336 + 1.99580i 0.432177 + 0.0859654i
\(540\) 5.24292 + 3.22294i 0.225619 + 0.138693i
\(541\) −8.71288 5.82176i −0.374596 0.250297i 0.353993 0.935248i \(-0.384824\pi\)
−0.728589 + 0.684951i \(0.759824\pi\)
\(542\) 3.45815 6.41130i 0.148540 0.275389i
\(543\) 1.76901 + 17.2130i 0.0759155 + 0.738679i
\(544\) 20.4027 16.1082i 0.874760 0.690635i
\(545\) −4.10254 7.10580i −0.175733 0.304379i
\(546\) 26.1044 + 10.7989i 1.11717 + 0.462148i
\(547\) −3.68853 7.47961i −0.157710 0.319805i 0.803648 0.595105i \(-0.202889\pi\)
−0.961358 + 0.275300i \(0.911223\pi\)
\(548\) −14.8827 30.7636i −0.635758 1.31416i
\(549\) −22.7155 + 40.1260i −0.969473 + 1.71253i
\(550\) 14.3570 + 9.00324i 0.612186 + 0.383900i
\(551\) 0.386265 0.296391i 0.0164554 0.0126267i
\(552\) 9.27586 33.6592i 0.394807 1.43263i
\(553\) −9.24651 7.09510i −0.393202 0.301714i
\(554\) 1.66045 0.617789i 0.0705456 0.0262473i
\(555\) 1.18545 + 0.440445i 0.0503195 + 0.0186958i
\(556\) 3.10651 + 25.0595i 0.131745 + 1.06276i
\(557\) 0.143273 + 0.720281i 0.00607067 + 0.0305193i 0.983702 0.179807i \(-0.0575473\pi\)
−0.977631 + 0.210326i \(0.932547\pi\)
\(558\) −5.33816 + 33.3046i −0.225982 + 1.40990i
\(559\) 23.7744 + 23.7744i 1.00555 + 1.00555i
\(560\) 3.46313 2.23896i 0.146344 0.0946135i
\(561\) 7.30742 + 19.1685i 0.308519 + 0.809297i
\(562\) 9.70465 + 7.00995i 0.409366 + 0.295697i
\(563\) −16.8806 + 14.8039i −0.711433 + 0.623910i −0.936596 0.350411i \(-0.886042\pi\)
0.225163 + 0.974321i \(0.427709\pi\)
\(564\) 20.3581 7.58505i 0.857232 0.319388i
\(565\) 0.0711763 + 1.08594i 0.00299441 + 0.0456859i
\(566\) −9.19311 + 6.53521i −0.386415 + 0.274696i
\(567\) −4.31117 15.0634i −0.181052 0.632604i
\(568\) 13.1641 + 25.3151i 0.552354 + 1.06220i
\(569\) −27.4425 + 21.0574i −1.15045 + 0.882772i −0.994473 0.104989i \(-0.966519\pi\)
−0.155977 + 0.987761i \(0.549853\pi\)
\(570\) 0.0790278 + 0.232460i 0.00331011 + 0.00973669i
\(571\) −12.7584 37.5850i −0.533921 1.57288i −0.794396 0.607401i \(-0.792212\pi\)
0.260474 0.965481i \(-0.416121\pi\)
\(572\) 33.4409 + 6.91516i 1.39823 + 0.289137i
\(573\) −1.00276 1.59744i −0.0418911 0.0667340i
\(574\) 4.44122 + 14.8426i 0.185373 + 0.619518i
\(575\) −33.1345 −1.38180
\(576\) −17.2101 + 16.7276i −0.717087 + 0.696984i
\(577\) 6.98819 0.290922 0.145461 0.989364i \(-0.453533\pi\)
0.145461 + 0.989364i \(0.453533\pi\)
\(578\) −1.66908 5.57809i −0.0694248 0.232018i
\(579\) 7.27901 0.269174i 0.302505 0.0111865i
\(580\) −0.689910 + 3.33632i −0.0286469 + 0.138533i
\(581\) 1.42307 + 4.19223i 0.0590389 + 0.173923i
\(582\) 17.8558 20.3794i 0.740148 0.844753i
\(583\) −15.2354 + 11.6905i −0.630986 + 0.484172i
\(584\) 31.0434 + 9.80288i 1.28459 + 0.405646i
\(585\) −0.869260 11.7372i −0.0359395 0.485274i
\(586\) −1.10755 + 0.787340i −0.0457526 + 0.0325247i
\(587\) −0.448276 6.83937i −0.0185023 0.282291i −0.997077 0.0763999i \(-0.975657\pi\)
0.978575 0.205891i \(-0.0660092\pi\)
\(588\) 13.5586 + 2.28489i 0.559148 + 0.0942273i
\(589\) −1.01171 + 0.887246i −0.0416868 + 0.0365584i
\(590\) 3.20693 + 2.31646i 0.132027 + 0.0953671i
\(591\) 25.6618 31.5406i 1.05559 1.29741i
\(592\) −2.80160 + 4.05862i −0.115145 + 0.166808i
\(593\) 9.33255 + 9.33255i 0.383242 + 0.383242i 0.872269 0.489027i \(-0.162648\pi\)
−0.489027 + 0.872269i \(0.662648\pi\)
\(594\) −8.52819 16.9110i −0.349916 0.693868i
\(595\) −0.924266 4.64660i −0.0378912 0.190492i
\(596\) −33.9438 + 4.20785i −1.39039 + 0.172360i
\(597\) −14.4571 + 11.9675i −0.591690 + 0.489798i
\(598\) −62.5776 + 23.2827i −2.55899 + 0.952102i
\(599\) −9.57738 7.34898i −0.391321 0.300271i 0.394297 0.918983i \(-0.370988\pi\)
−0.785618 + 0.618712i \(0.787655\pi\)
\(600\) 19.6439 + 11.5283i 0.801958 + 0.470642i
\(601\) 21.9903 16.8737i 0.897001 0.688293i −0.0536482 0.998560i \(-0.517085\pi\)
0.950650 + 0.310266i \(0.100418\pi\)
\(602\) −10.5861 6.63853i −0.431459 0.270566i
\(603\) 6.16183 3.62751i 0.250929 0.147724i
\(604\) 10.8187 5.23384i 0.440207 0.212962i
\(605\) −1.14124 2.31421i −0.0463981 0.0940861i
\(606\) −7.26080 + 5.57667i −0.294950 + 0.226537i
\(607\) 2.48937 + 4.31172i 0.101041 + 0.175007i 0.912114 0.409937i \(-0.134449\pi\)
−0.811073 + 0.584945i \(0.801116\pi\)
\(608\) −0.954474 + 0.0758157i −0.0387090 + 0.00307473i
\(609\) 7.02886 5.08203i 0.284824 0.205934i
\(610\) 6.11078 11.3292i 0.247418 0.458706i
\(611\) −34.5450 23.0822i −1.39754 0.933806i
\(612\) 10.5746 + 25.4636i 0.427452 + 1.02930i
\(613\) −28.3281 5.63480i −1.14416 0.227588i −0.413615 0.910452i \(-0.635734\pi\)
−0.730545 + 0.682864i \(0.760734\pi\)
\(614\) 35.1733 18.6298i 1.41948 0.751839i
\(615\) 4.69220 4.43220i 0.189208 0.178724i
\(616\) −12.6882 + 0.271306i −0.511221 + 0.0109312i
\(617\) 19.6032 25.5474i 0.789196 1.02850i −0.209519 0.977805i \(-0.567190\pi\)
0.998714 0.0506951i \(-0.0161437\pi\)
\(618\) −0.526822 + 8.09428i −0.0211919 + 0.325600i
\(619\) 1.41757 + 21.6279i 0.0569768 + 0.869298i 0.926710 + 0.375777i \(0.122624\pi\)
−0.869733 + 0.493522i \(0.835709\pi\)
\(620\) 1.29963 9.32603i 0.0521944 0.374542i
\(621\) 31.6935 + 19.1539i 1.27182 + 0.768621i
\(622\) 3.95292 10.3834i 0.158498 0.416335i
\(623\) −2.80208 10.4575i −0.112263 0.418971i
\(624\) 45.1999 + 7.96910i 1.80944 + 0.319019i
\(625\) 5.14079 19.1857i 0.205632 0.767428i
\(626\) −1.38525 1.00060i −0.0553656 0.0399922i
\(627\) 0.168459 0.736582i 0.00672761 0.0294163i
\(628\) −18.2479 32.1658i −0.728172 1.28355i
\(629\) 3.14768 + 4.71083i 0.125506 + 0.187833i
\(630\) 1.28934 + 4.17967i 0.0513686 + 0.166522i
\(631\) −17.7754 + 7.36282i −0.707628 + 0.293109i −0.707323 0.706891i \(-0.750097\pi\)
−0.000305632 1.00000i \(0.500097\pi\)
\(632\) −17.1580 8.01004i −0.682508 0.318622i
\(633\) −10.0145 42.1415i −0.398040 1.67497i
\(634\) 8.25826 7.67628i 0.327977 0.304864i
\(635\) 11.7146 3.97655i 0.464878 0.157805i
\(636\) −20.0064 + 16.3077i −0.793304 + 0.646644i
\(637\) −11.6299 23.5831i −0.460793 0.934396i
\(638\) 7.19613 7.62522i 0.284897 0.301886i
\(639\) −29.6315 + 6.15559i −1.17220 + 0.243511i
\(640\) 4.70788 4.76711i 0.186095 0.188437i
\(641\) 13.1498 + 7.59202i 0.519384 + 0.299867i 0.736683 0.676239i \(-0.236391\pi\)
−0.217298 + 0.976105i \(0.569724\pi\)
\(642\) −14.8011 + 6.13871i −0.584151 + 0.242275i
\(643\) −1.31442 + 20.0543i −0.0518359 + 0.790862i 0.890246 + 0.455480i \(0.150532\pi\)
−0.942082 + 0.335383i \(0.891134\pi\)
\(644\) 20.7359 13.6296i 0.817109 0.537080i
\(645\) −0.488300 + 5.18286i −0.0192268 + 0.204075i
\(646\) −0.323288 + 1.05141i −0.0127196 + 0.0413670i
\(647\) −13.0837 + 31.5869i −0.514375 + 1.24181i 0.426940 + 0.904280i \(0.359591\pi\)
−0.941315 + 0.337530i \(0.890409\pi\)
\(648\) −12.1254 22.3824i −0.476333 0.879265i
\(649\) −4.65904 11.2479i −0.182883 0.441519i
\(650\) −4.10545 43.3640i −0.161029 1.70087i
\(651\) −18.4664 + 15.2864i −0.723754 + 0.599121i
\(652\) 0.265206 35.0623i 0.0103863 1.37315i
\(653\) 10.8030 + 12.3184i 0.422753 + 0.482058i 0.923534 0.383516i \(-0.125287\pi\)
−0.500781 + 0.865574i \(0.666954\pi\)
\(654\) 0.0154699 + 33.9384i 0.000604923 + 1.32710i
\(655\) −1.44477 5.39195i −0.0564518 0.210681i
\(656\) 12.2542 + 21.9865i 0.478448 + 0.858428i
\(657\) −18.9394 + 28.8715i −0.738896 + 1.12639i
\(658\) 14.4303 + 5.49359i 0.562553 + 0.214162i
\(659\) −11.4320 + 33.6776i −0.445327 + 1.31189i 0.460279 + 0.887774i \(0.347749\pi\)
−0.905607 + 0.424118i \(0.860584\pi\)
\(660\) 2.47690 + 4.67125i 0.0964130 + 0.181828i
\(661\) 1.53145 3.10547i 0.0595665 0.120789i −0.865054 0.501679i \(-0.832716\pi\)
0.924620 + 0.380890i \(0.124382\pi\)
\(662\) −0.752091 + 0.279824i −0.0292308 + 0.0108757i
\(663\) 27.6540 44.8944i 1.07399 1.74355i
\(664\) 3.72872 + 6.15080i 0.144702 + 0.238697i
\(665\) −0.0667788 + 0.161218i −0.00258957 + 0.00625178i
\(666\) −3.33734 4.02787i −0.129319 0.156077i
\(667\) −3.99937 + 20.1062i −0.154856 + 0.778515i
\(668\) 2.86215 + 3.31389i 0.110740 + 0.128218i
\(669\) −12.4981 19.9099i −0.483204 0.769762i
\(670\) −1.69908 + 1.04767i −0.0656412 + 0.0404749i
\(671\) −34.3065 + 19.8069i −1.32439 + 0.764635i
\(672\) −17.0354 + 0.865772i −0.657155 + 0.0333979i
\(673\) 12.5153 + 7.22573i 0.482431 + 0.278531i 0.721429 0.692489i \(-0.243486\pi\)
−0.238998 + 0.971020i \(0.576819\pi\)
\(674\) 38.4114 1.11206i 1.47955 0.0428348i
\(675\) −17.4210 + 16.7374i −0.670536 + 0.644222i
\(676\) −26.9014 55.6070i −1.03467 2.13873i
\(677\) −14.9515 13.1121i −0.574633 0.503940i 0.321985 0.946745i \(-0.395650\pi\)
−0.896618 + 0.442805i \(0.853983\pi\)
\(678\) 1.98907 4.03807i 0.0763896 0.155081i
\(679\) 19.0925 2.51357i 0.732702 0.0964620i
\(680\) −3.09692 7.04663i −0.118761 0.270226i
\(681\) −0.614799 + 21.5757i −0.0235592 + 0.826784i
\(682\) −18.4680 + 22.3306i −0.707176 + 0.855081i
\(683\) −4.26330 6.38048i −0.163131 0.244142i 0.740895 0.671621i \(-0.234402\pi\)
−0.904025 + 0.427479i \(0.859402\pi\)
\(684\) 0.197218 0.996228i 0.00754082 0.0380917i
\(685\) −9.92460 + 1.97413i −0.379199 + 0.0754275i
\(686\) 17.0536 + 20.9409i 0.651111 + 0.799528i
\(687\) −32.7017 5.25681i −1.24765 0.200560i
\(688\) −19.1228 6.81563i −0.729051 0.259844i
\(689\) 47.6780 + 12.7753i 1.81639 + 0.486700i
\(690\) −8.95531 5.16491i −0.340923 0.196625i
\(691\) 6.95364 20.4848i 0.264529 0.779277i −0.730787 0.682605i \(-0.760847\pi\)
0.995316 0.0966719i \(-0.0308197\pi\)
\(692\) 14.2537 3.70394i 0.541843 0.140803i
\(693\) 3.37362 13.0313i 0.128153 0.495018i
\(694\) 15.6681 + 22.0403i 0.594752 + 0.836640i
\(695\) 7.41293 + 0.975931i 0.281189 + 0.0370192i
\(696\) 9.36649 10.5285i 0.355036 0.399083i
\(697\) 28.6697 3.77444i 1.08594 0.142967i
\(698\) −3.45708 + 3.21345i −0.130852 + 0.121631i
\(699\) 37.6785 + 3.54986i 1.42513 + 0.134268i
\(700\) 5.08738 + 15.3679i 0.192285 + 0.580851i
\(701\) −20.3401 13.5908i −0.768234 0.513317i 0.108615 0.994084i \(-0.465358\pi\)
−0.876849 + 0.480766i \(0.840358\pi\)
\(702\) −21.1403 + 43.8514i −0.797890 + 1.65506i
\(703\) 0.208684i 0.00787067i
\(704\) −20.0323 + 4.88332i −0.754997 + 0.184047i
\(705\) −0.657651 6.39912i −0.0247686 0.241005i
\(706\) 2.90918 12.2668i 0.109489 0.461669i
\(707\) −6.49292 0.425569i −0.244192 0.0160052i
\(708\) −6.70364 14.9271i −0.251938 0.560995i
\(709\) 3.41691 + 2.99655i 0.128325 + 0.112538i 0.721103 0.692828i \(-0.243636\pi\)
−0.592778 + 0.805366i \(0.701969\pi\)
\(710\) 8.23517 1.88736i 0.309060 0.0708315i
\(711\) 13.1140 15.2118i 0.491814 0.570488i
\(712\) −8.11508 15.6056i −0.304126 0.584844i
\(713\) 7.39548 56.1743i 0.276963 2.10374i
\(714\) −6.29050 + 18.5590i −0.235416 + 0.694553i
\(715\) 4.47212 9.06856i 0.167248 0.339145i
\(716\) −21.8016 22.1339i −0.814764 0.827184i
\(717\) −11.9191 + 12.8345i −0.445126 + 0.479311i
\(718\) 34.9921 + 3.58009i 1.30589 + 0.133608i
\(719\) −37.2416 37.2416i −1.38888 1.38888i −0.827685 0.561194i \(-0.810342\pi\)
−0.561194 0.827685i \(-0.689658\pi\)
\(720\) 3.51217 + 6.17781i 0.130891 + 0.230233i
\(721\) −4.07645 + 4.07645i −0.151815 + 0.151815i
\(722\) −20.8037 + 16.9419i −0.774235 + 0.630513i
\(723\) 2.01465 8.80899i 0.0749255 0.327610i
\(724\) −7.78561 + 18.4012i −0.289350 + 0.683876i
\(725\) −11.9945 5.91503i −0.445464 0.219679i
\(726\) −0.693183 + 10.6503i −0.0257264 + 0.395270i
\(727\) −10.7012 1.40884i −0.396886 0.0522510i −0.0705581 0.997508i \(-0.522478\pi\)
−0.326328 + 0.945257i \(0.605811\pi\)
\(728\) 20.4066 + 25.4489i 0.756318 + 0.943198i
\(729\) 26.3387 5.93898i 0.975508 0.219962i
\(730\) 5.12115 8.16644i 0.189542 0.302254i
\(731\) −15.3777 + 17.5349i −0.568764 + 0.648551i
\(732\) −45.3070 + 27.9652i −1.67460 + 1.03362i
\(733\) −1.08529 + 16.5583i −0.0400859 + 0.611593i 0.929805 + 0.368053i \(0.119975\pi\)
−0.969891 + 0.243540i \(0.921691\pi\)
\(734\) −25.2141 + 15.5472i −0.930670 + 0.573859i
\(735\) 1.66453 3.71549i 0.0613970 0.137048i
\(736\) 28.1105 28.8982i 1.03617 1.06520i
\(737\) 6.14299 0.226280
\(738\) −25.9716 + 6.18439i −0.956027 + 0.227650i
\(739\) −4.30647 + 6.44509i −0.158416 + 0.237086i −0.902184 0.431352i \(-0.858037\pi\)
0.743768 + 0.668438i \(0.233037\pi\)
\(740\) 0.954487 + 1.10514i 0.0350877 + 0.0406256i
\(741\) −1.76561 + 0.809023i −0.0648613 + 0.0297202i
\(742\) −18.3321 0.669545i −0.672994 0.0245798i
\(743\) −1.95627 14.8594i −0.0717688 0.545138i −0.989126 0.147072i \(-0.953015\pi\)
0.917357 0.398066i \(-0.130318\pi\)
\(744\) −23.9289 + 30.7300i −0.877275 + 1.12662i
\(745\) −1.32193 + 10.0410i −0.0484316 + 0.367875i
\(746\) 14.6088 + 2.46871i 0.534865 + 0.0903858i
\(747\) −7.35211 + 2.03693i −0.269000 + 0.0745275i
\(748\) −3.26941 + 23.4610i −0.119542 + 0.857820i
\(749\) −10.7840 3.66066i −0.394038 0.133758i
\(750\) 9.89295 9.90197i 0.361239 0.361569i
\(751\) −3.80970 + 14.2180i −0.139018 + 0.518822i 0.860931 + 0.508722i \(0.169882\pi\)
−0.999949 + 0.0101006i \(0.996785\pi\)
\(752\) 24.8192 + 3.65025i 0.905062 + 0.133111i
\(753\) −29.3064 23.8440i −1.06798 0.868924i
\(754\) −26.8090 2.74287i −0.976327 0.0998894i
\(755\) −0.694245 3.49021i −0.0252662 0.127022i
\(756\) 4.01750 17.6404i 0.146115 0.641575i
\(757\) −30.0771 + 20.0969i −1.09317 + 0.730433i −0.965244 0.261351i \(-0.915832\pi\)
−0.127926 + 0.991784i \(0.540832\pi\)
\(758\) 1.27129 0.120359i 0.0461754 0.00437162i
\(759\) 15.1162 + 27.9944i 0.548683 + 1.01613i
\(760\) −0.0493530 + 0.279181i −0.00179022 + 0.0101269i
\(761\) 6.54005 + 49.6766i 0.237077 + 1.80078i 0.533586 + 0.845746i \(0.320844\pi\)
−0.296509 + 0.955030i \(0.595822\pi\)
\(762\) −50.1914 9.95991i −1.81824 0.360809i
\(763\) −15.9040 + 18.1350i −0.575762 + 0.656531i
\(764\) −0.125998 2.17423i −0.00455846 0.0786608i
\(765\) 8.08488 1.13418i 0.292310 0.0410065i
\(766\) 2.31453 + 2.18429i 0.0836275 + 0.0789215i
\(767\) −15.6464 + 27.1003i −0.564959 + 0.978537i
\(768\) −26.7198 + 7.35200i −0.964168 + 0.265292i
\(769\) 23.6729 + 41.0027i 0.853668 + 1.47860i 0.877875 + 0.478889i \(0.158960\pi\)
−0.0242075 + 0.999707i \(0.507706\pi\)
\(770\) −0.867145 + 3.65640i −0.0312497 + 0.131767i
\(771\) 1.56800 + 42.4019i 0.0564701 + 1.52707i
\(772\) 7.51508 + 3.77696i