Properties

Label 125.2.g.a.6.5
Level $125$
Weight $2$
Character 125.6
Analytic conductor $0.998$
Analytic rank $0$
Dimension $220$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [125,2,Mod(6,125)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(125, base_ring=CyclotomicField(50))
 
chi = DirichletCharacter(H, H._module([4]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("125.6");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 125 = 5^{3} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 125.g (of order \(25\), degree \(20\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(0.998130025266\)
Analytic rank: \(0\)
Dimension: \(220\)
Relative dimension: \(11\) over \(\Q(\zeta_{25})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{25}]$

Embedding invariants

Embedding label 6.5
Character \(\chi\) \(=\) 125.6
Dual form 125.2.g.a.21.5

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.903097 - 0.231876i) q^{2} +(-0.0620903 + 0.325489i) q^{3} +(-0.990795 - 0.544694i) q^{4} +(-1.86049 + 1.24039i) q^{5} +(0.131547 - 0.279551i) q^{6} +(-3.30296 + 2.39974i) q^{7} +(2.12785 + 1.99818i) q^{8} +(2.68724 + 1.06395i) q^{9} +O(q^{10})\) \(q+(-0.903097 - 0.231876i) q^{2} +(-0.0620903 + 0.325489i) q^{3} +(-0.990795 - 0.544694i) q^{4} +(-1.86049 + 1.24039i) q^{5} +(0.131547 - 0.279551i) q^{6} +(-3.30296 + 2.39974i) q^{7} +(2.12785 + 1.99818i) q^{8} +(2.68724 + 1.06395i) q^{9} +(1.96782 - 0.688789i) q^{10} +(-5.98107 - 1.53568i) q^{11} +(0.238811 - 0.288672i) q^{12} +(1.56079 + 0.617961i) q^{13} +(3.53934 - 1.40132i) q^{14} +(-0.288214 - 0.682586i) q^{15} +(-0.246660 - 0.388674i) q^{16} +(-2.47098 + 1.35843i) q^{17} +(-2.18014 - 1.58396i) q^{18} +(-0.447990 - 2.34845i) q^{19} +(2.51900 - 0.215572i) q^{20} +(-0.576007 - 1.22408i) q^{21} +(5.04540 + 2.77373i) q^{22} +(0.224270 + 3.56467i) q^{23} +(-0.782505 + 0.568523i) q^{24} +(1.92287 - 4.61547i) q^{25} +(-1.26626 - 0.919989i) q^{26} +(-1.04581 + 1.64793i) q^{27} +(4.57968 - 0.578549i) q^{28} +(-2.50206 + 0.316084i) q^{29} +(0.102010 + 0.683271i) q^{30} +(8.14699 - 4.47885i) q^{31} +(-1.67140 - 5.14404i) q^{32} +(0.871213 - 1.85142i) q^{33} +(2.54652 - 0.653835i) q^{34} +(3.16852 - 8.56166i) q^{35} +(-2.08298 - 2.51789i) q^{36} +(0.256504 + 0.404186i) q^{37} +(-0.139970 + 2.22475i) q^{38} +(-0.298050 + 0.469651i) q^{39} +(-6.43737 - 1.07824i) q^{40} +(-0.485173 + 7.71160i) q^{41} +(0.236356 + 1.23902i) q^{42} +(-1.94475 + 5.98533i) q^{43} +(5.08954 + 4.77940i) q^{44} +(-6.31931 + 1.35375i) q^{45} +(0.624023 - 3.27124i) q^{46} +(-3.70121 + 3.47567i) q^{47} +(0.141824 - 0.0561522i) q^{48} +(2.98768 - 9.19512i) q^{49} +(-2.80675 + 3.72235i) q^{50} +(-0.288730 - 0.888621i) q^{51} +(-1.20983 - 1.46243i) q^{52} +(2.68573 + 5.70747i) q^{53} +(1.32658 - 1.24574i) q^{54} +(13.0326 - 4.56174i) q^{55} +(-11.8233 - 1.49363i) q^{56} +0.792208 q^{57} +(2.33290 + 0.294713i) q^{58} +(-2.17390 + 2.62780i) q^{59} +(-0.0862393 + 0.833291i) q^{60} +(0.476848 + 7.57928i) q^{61} +(-8.39606 + 2.15574i) q^{62} +(-11.4291 + 2.93449i) q^{63} +(0.374467 + 5.95198i) q^{64} +(-3.67035 + 0.786277i) q^{65} +(-1.21609 + 1.47000i) q^{66} +(-4.68512 - 0.591868i) q^{67} +3.18816 q^{68} +(-1.17418 - 0.148334i) q^{69} +(-4.84673 + 6.99731i) q^{70} +(-4.72298 + 4.43517i) q^{71} +(3.59207 + 7.63354i) q^{72} +(-4.33711 - 5.24267i) q^{73} +(-0.137927 - 0.424497i) q^{74} +(1.38289 + 0.912448i) q^{75} +(-0.835318 + 2.57085i) q^{76} +(23.4405 - 9.28074i) q^{77} +(0.378068 - 0.355030i) q^{78} +(-2.35405 + 12.3404i) q^{79} +(0.941017 + 0.417171i) q^{80} +(5.84915 + 5.49272i) q^{81} +(2.22629 - 6.85183i) q^{82} +(-3.37053 - 17.6689i) q^{83} +(-0.0960429 + 1.52656i) q^{84} +(2.91225 - 5.59232i) q^{85} +(3.14415 - 4.95439i) q^{86} +(0.0524720 - 0.834019i) q^{87} +(-9.65825 - 15.2190i) q^{88} +(0.523867 + 0.633247i) q^{89} +(6.02085 + 0.242732i) q^{90} +(-6.63818 + 1.70440i) q^{91} +(1.71945 - 3.65401i) q^{92} +(0.951965 + 2.92985i) q^{93} +(4.14848 - 2.28064i) q^{94} +(3.74647 + 3.81358i) q^{95} +(1.77810 - 0.224627i) q^{96} +(-1.30570 + 0.164948i) q^{97} +(-4.83029 + 7.61132i) q^{98} +(-14.4387 - 10.4903i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 220 q - 20 q^{2} - 20 q^{3} - 20 q^{4} - 15 q^{5} - 20 q^{6} - 15 q^{7} - 5 q^{8} - 20 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 220 q - 20 q^{2} - 20 q^{3} - 20 q^{4} - 15 q^{5} - 20 q^{6} - 15 q^{7} - 5 q^{8} - 20 q^{9} - 20 q^{10} - 15 q^{11} - 100 q^{12} - 20 q^{13} - 10 q^{14} - 15 q^{17} + 10 q^{18} - 10 q^{19} + 5 q^{20} - 5 q^{21} + 25 q^{22} - 90 q^{23} + 15 q^{24} - 45 q^{25} + 15 q^{26} + 10 q^{27} + 30 q^{28} - 10 q^{29} + 40 q^{30} - 10 q^{31} + 20 q^{32} + 15 q^{33} + 5 q^{34} + 10 q^{35} - 210 q^{36} + 20 q^{37} + 30 q^{38} + 45 q^{40} - 5 q^{41} + 70 q^{42} + 25 q^{43} + 15 q^{44} - 100 q^{45} - 100 q^{47} + 105 q^{48} - 20 q^{49} + 60 q^{50} + 25 q^{51} + 85 q^{52} + 20 q^{53} + 60 q^{54} + 15 q^{55} - 105 q^{56} + 40 q^{57} - 225 q^{58} + 5 q^{59} - 35 q^{60} + 65 q^{62} + 85 q^{63} + 45 q^{64} + 45 q^{65} + 55 q^{66} - 105 q^{67} + 80 q^{68} + 40 q^{69} + 95 q^{70} - 85 q^{71} + 160 q^{72} + 40 q^{73} + 35 q^{74} + 55 q^{75} + 35 q^{76} + 75 q^{77} - 10 q^{78} - 330 q^{80} + 55 q^{81} - 95 q^{82} + 50 q^{83} + 115 q^{84} + 85 q^{85} + 40 q^{86} + 95 q^{87} + 165 q^{88} + 55 q^{89} + 170 q^{90} - 105 q^{91} + 155 q^{92} - 185 q^{93} + 60 q^{94} + 30 q^{95} + 135 q^{96} + 65 q^{97} + 135 q^{98} + 45 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/125\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{2}{25}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.903097 0.231876i −0.638586 0.163961i −0.0845042 0.996423i \(-0.526931\pi\)
−0.554082 + 0.832462i \(0.686931\pi\)
\(3\) −0.0620903 + 0.325489i −0.0358479 + 0.187921i −0.995707 0.0925616i \(-0.970495\pi\)
0.959859 + 0.280483i \(0.0904945\pi\)
\(4\) −0.990795 0.544694i −0.495398 0.272347i
\(5\) −1.86049 + 1.24039i −0.832038 + 0.554719i
\(6\) 0.131547 0.279551i 0.0537037 0.114126i
\(7\) −3.30296 + 2.39974i −1.24840 + 0.907017i −0.998128 0.0611576i \(-0.980521\pi\)
−0.250274 + 0.968175i \(0.580521\pi\)
\(8\) 2.12785 + 1.99818i 0.752308 + 0.706464i
\(9\) 2.68724 + 1.06395i 0.895747 + 0.354651i
\(10\) 1.96782 0.688789i 0.622280 0.217814i
\(11\) −5.98107 1.53568i −1.80336 0.463024i −0.810858 0.585243i \(-0.800999\pi\)
−0.992503 + 0.122219i \(0.960999\pi\)
\(12\) 0.238811 0.288672i 0.0689387 0.0833326i
\(13\) 1.56079 + 0.617961i 0.432886 + 0.171392i 0.574454 0.818537i \(-0.305214\pi\)
−0.141568 + 0.989929i \(0.545214\pi\)
\(14\) 3.53934 1.40132i 0.945928 0.374519i
\(15\) −0.288214 0.682586i −0.0744166 0.176243i
\(16\) −0.246660 0.388674i −0.0616650 0.0971685i
\(17\) −2.47098 + 1.35843i −0.599300 + 0.329468i −0.752363 0.658748i \(-0.771086\pi\)
0.153063 + 0.988216i \(0.451086\pi\)
\(18\) −2.18014 1.58396i −0.513863 0.373343i
\(19\) −0.447990 2.34845i −0.102776 0.538770i −0.996015 0.0891879i \(-0.971573\pi\)
0.893239 0.449582i \(-0.148427\pi\)
\(20\) 2.51900 0.215572i 0.563266 0.0482033i
\(21\) −0.576007 1.22408i −0.125695 0.267116i
\(22\) 5.04540 + 2.77373i 1.07568 + 0.591362i
\(23\) 0.224270 + 3.56467i 0.0467635 + 0.743285i 0.949632 + 0.313368i \(0.101457\pi\)
−0.902868 + 0.429917i \(0.858543\pi\)
\(24\) −0.782505 + 0.568523i −0.159728 + 0.116049i
\(25\) 1.92287 4.61547i 0.384574 0.923094i
\(26\) −1.26626 0.919989i −0.248333 0.180425i
\(27\) −1.04581 + 1.64793i −0.201266 + 0.317144i
\(28\) 4.57968 0.578549i 0.865479 0.109335i
\(29\) −2.50206 + 0.316084i −0.464621 + 0.0586953i −0.354159 0.935185i \(-0.615233\pi\)
−0.110462 + 0.993880i \(0.535233\pi\)
\(30\) 0.102010 + 0.683271i 0.0186244 + 0.124748i
\(31\) 8.14699 4.47885i 1.46324 0.804425i 0.466457 0.884544i \(-0.345530\pi\)
0.996785 + 0.0801191i \(0.0255301\pi\)
\(32\) −1.67140 5.14404i −0.295464 0.909346i
\(33\) 0.871213 1.85142i 0.151659 0.322291i
\(34\) 2.54652 0.653835i 0.436725 0.112132i
\(35\) 3.16852 8.56166i 0.535578 1.44719i
\(36\) −2.08298 2.51789i −0.347163 0.419648i
\(37\) 0.256504 + 0.404186i 0.0421690 + 0.0664478i 0.864759 0.502188i \(-0.167471\pi\)
−0.822589 + 0.568636i \(0.807471\pi\)
\(38\) −0.139970 + 2.22475i −0.0227061 + 0.360903i
\(39\) −0.298050 + 0.469651i −0.0477261 + 0.0752043i
\(40\) −6.43737 1.07824i −1.01784 0.170485i
\(41\) −0.485173 + 7.71160i −0.0757713 + 1.20435i 0.758005 + 0.652248i \(0.226174\pi\)
−0.833777 + 0.552102i \(0.813826\pi\)
\(42\) 0.236356 + 1.23902i 0.0364706 + 0.191186i
\(43\) −1.94475 + 5.98533i −0.296572 + 0.912754i 0.686117 + 0.727491i \(0.259314\pi\)
−0.982689 + 0.185263i \(0.940686\pi\)
\(44\) 5.08954 + 4.77940i 0.767277 + 0.720521i
\(45\) −6.31931 + 1.35375i −0.942027 + 0.201805i
\(46\) 0.624023 3.27124i 0.0920072 0.482319i
\(47\) −3.70121 + 3.47567i −0.539877 + 0.506978i −0.905822 0.423658i \(-0.860746\pi\)
0.365945 + 0.930636i \(0.380746\pi\)
\(48\) 0.141824 0.0561522i 0.0204706 0.00810487i
\(49\) 2.98768 9.19512i 0.426811 1.31359i
\(50\) −2.80675 + 3.72235i −0.396935 + 0.526420i
\(51\) −0.288730 0.888621i −0.0404303 0.124432i
\(52\) −1.20983 1.46243i −0.167773 0.202802i
\(53\) 2.68573 + 5.70747i 0.368914 + 0.783981i 0.999966 + 0.00824102i \(0.00262323\pi\)
−0.631053 + 0.775740i \(0.717377\pi\)
\(54\) 1.32658 1.24574i 0.180525 0.169524i
\(55\) 13.0326 4.56174i 1.75731 0.615105i
\(56\) −11.8233 1.49363i −1.57996 0.199595i
\(57\) 0.792208 0.104931
\(58\) 2.33290 + 0.294713i 0.306324 + 0.0386978i
\(59\) −2.17390 + 2.62780i −0.283018 + 0.342110i −0.892795 0.450463i \(-0.851259\pi\)
0.609777 + 0.792573i \(0.291259\pi\)
\(60\) −0.0862393 + 0.833291i −0.0111334 + 0.107577i
\(61\) 0.476848 + 7.57928i 0.0610542 + 0.970428i 0.902665 + 0.430344i \(0.141608\pi\)
−0.841611 + 0.540084i \(0.818392\pi\)
\(62\) −8.39606 + 2.15574i −1.06630 + 0.273780i
\(63\) −11.4291 + 2.93449i −1.43993 + 0.369711i
\(64\) 0.374467 + 5.95198i 0.0468083 + 0.743997i
\(65\) −3.67035 + 0.786277i −0.455252 + 0.0975257i
\(66\) −1.21609 + 1.47000i −0.149690 + 0.180944i
\(67\) −4.68512 0.591868i −0.572378 0.0723081i −0.166184 0.986095i \(-0.553144\pi\)
−0.406194 + 0.913787i \(0.633144\pi\)
\(68\) 3.18816 0.386621
\(69\) −1.17418 0.148334i −0.141355 0.0178573i
\(70\) −4.84673 + 6.99731i −0.579295 + 0.836339i
\(71\) −4.72298 + 4.43517i −0.560515 + 0.526358i −0.912192 0.409763i \(-0.865611\pi\)
0.351677 + 0.936121i \(0.385611\pi\)
\(72\) 3.59207 + 7.63354i 0.423329 + 0.899621i
\(73\) −4.33711 5.24267i −0.507621 0.613608i 0.452987 0.891517i \(-0.350359\pi\)
−0.960607 + 0.277909i \(0.910359\pi\)
\(74\) −0.137927 0.424497i −0.0160337 0.0493467i
\(75\) 1.38289 + 0.912448i 0.159683 + 0.105360i
\(76\) −0.835318 + 2.57085i −0.0958176 + 0.294896i
\(77\) 23.4405 9.28074i 2.67129 1.05764i
\(78\) 0.378068 0.355030i 0.0428078 0.0401992i
\(79\) −2.35405 + 12.3404i −0.264851 + 1.38840i 0.562539 + 0.826771i \(0.309825\pi\)
−0.827390 + 0.561628i \(0.810175\pi\)
\(80\) 0.941017 + 0.417171i 0.105209 + 0.0466411i
\(81\) 5.84915 + 5.49272i 0.649906 + 0.610302i
\(82\) 2.22629 6.85183i 0.245853 0.756658i
\(83\) −3.37053 17.6689i −0.369963 1.93942i −0.341680 0.939816i \(-0.610996\pi\)
−0.0282838 0.999600i \(-0.509004\pi\)
\(84\) −0.0960429 + 1.52656i −0.0104791 + 0.166561i
\(85\) 2.91225 5.59232i 0.315878 0.606573i
\(86\) 3.14415 4.95439i 0.339043 0.534246i
\(87\) 0.0524720 0.834019i 0.00562559 0.0894162i
\(88\) −9.65825 15.2190i −1.02957 1.62235i
\(89\) 0.523867 + 0.633247i 0.0555298 + 0.0671240i 0.797547 0.603257i \(-0.206131\pi\)
−0.742017 + 0.670381i \(0.766131\pi\)
\(90\) 6.02085 + 0.242732i 0.634654 + 0.0255862i
\(91\) −6.63818 + 1.70440i −0.695871 + 0.178669i
\(92\) 1.71945 3.65401i 0.179265 0.380957i
\(93\) 0.951965 + 2.92985i 0.0987142 + 0.303811i
\(94\) 4.14848 2.28064i 0.427883 0.235230i
\(95\) 3.74647 + 3.81358i 0.384380 + 0.391265i
\(96\) 1.77810 0.224627i 0.181477 0.0229259i
\(97\) −1.30570 + 0.164948i −0.132573 + 0.0167479i −0.191340 0.981524i \(-0.561283\pi\)
0.0587665 + 0.998272i \(0.481283\pi\)
\(98\) −4.83029 + 7.61132i −0.487933 + 0.768859i
\(99\) −14.4387 10.4903i −1.45114 1.05432i
\(100\) −4.41919 + 3.52561i −0.441919 + 0.352561i
\(101\) 7.06765 5.13495i 0.703258 0.510947i −0.177734 0.984079i \(-0.556877\pi\)
0.880992 + 0.473132i \(0.156877\pi\)
\(102\) 0.0547018 + 0.869461i 0.00541629 + 0.0860894i
\(103\) 9.81218 + 5.39429i 0.966823 + 0.531516i 0.885232 0.465150i \(-0.154000\pi\)
0.0815915 + 0.996666i \(0.474000\pi\)
\(104\) 2.08633 + 4.43368i 0.204581 + 0.434758i
\(105\) 2.58999 + 1.56292i 0.252757 + 0.152525i
\(106\) −1.10205 5.77716i −0.107041 0.561127i
\(107\) −2.45085 1.78065i −0.236933 0.172142i 0.462983 0.886367i \(-0.346779\pi\)
−0.699916 + 0.714225i \(0.746779\pi\)
\(108\) 1.93380 1.06312i 0.186080 0.102298i
\(109\) 1.09503 + 1.72550i 0.104885 + 0.165273i 0.892717 0.450618i \(-0.148796\pi\)
−0.787832 + 0.615891i \(0.788796\pi\)
\(110\) −12.8274 + 1.09775i −1.22305 + 0.104666i
\(111\) −0.147484 + 0.0583932i −0.0139986 + 0.00554244i
\(112\) 1.74743 + 0.691855i 0.165116 + 0.0653742i
\(113\) 8.16533 9.87019i 0.768130 0.928509i −0.230881 0.972982i \(-0.574161\pi\)
0.999011 + 0.0444728i \(0.0141608\pi\)
\(114\) −0.715441 0.183694i −0.0670072 0.0172045i
\(115\) −4.83883 6.35386i −0.451223 0.592500i
\(116\) 2.65120 + 1.04968i 0.246158 + 0.0974607i
\(117\) 3.53674 + 3.32122i 0.326972 + 0.307047i
\(118\) 2.57257 1.86908i 0.236824 0.172063i
\(119\) 4.90166 10.4166i 0.449334 0.954884i
\(120\) 0.750655 2.02834i 0.0685251 0.185162i
\(121\) 23.7755 + 13.0707i 2.16141 + 1.18825i
\(122\) 1.32681 6.95540i 0.120124 0.629712i
\(123\) −2.47992 0.636734i −0.223607 0.0574124i
\(124\) −10.5116 −0.943970
\(125\) 2.14750 + 10.9722i 0.192078 + 0.981380i
\(126\) 11.0020 0.980136
\(127\) −4.50764 1.15736i −0.399988 0.102700i 0.0433367 0.999061i \(-0.486201\pi\)
−0.443325 + 0.896361i \(0.646201\pi\)
\(128\) −0.985060 + 5.16387i −0.0870679 + 0.456426i
\(129\) −1.82741 1.00463i −0.160894 0.0884524i
\(130\) 3.49701 + 0.140982i 0.306708 + 0.0123650i
\(131\) 5.42110 11.5204i 0.473643 1.00654i −0.515129 0.857113i \(-0.672256\pi\)
0.988772 0.149431i \(-0.0477440\pi\)
\(132\) −1.87165 + 1.35983i −0.162906 + 0.118358i
\(133\) 7.11536 + 6.68176i 0.616980 + 0.579382i
\(134\) 4.09387 + 1.62088i 0.353657 + 0.140023i
\(135\) −0.0983560 4.36317i −0.00846513 0.375522i
\(136\) −7.97226 2.04693i −0.683616 0.175523i
\(137\) −8.40815 + 10.1637i −0.718357 + 0.868344i −0.995720 0.0924211i \(-0.970539\pi\)
0.277363 + 0.960765i \(0.410539\pi\)
\(138\) 1.02601 + 0.406225i 0.0873396 + 0.0345802i
\(139\) 0.502527 0.198964i 0.0426238 0.0168759i −0.346716 0.937970i \(-0.612703\pi\)
0.389340 + 0.921094i \(0.372703\pi\)
\(140\) −7.80285 + 6.75698i −0.659461 + 0.571069i
\(141\) −0.901481 1.42051i −0.0759184 0.119628i
\(142\) 5.29372 2.91025i 0.444239 0.244223i
\(143\) −8.38622 6.09294i −0.701291 0.509518i
\(144\) −0.249304 1.30690i −0.0207753 0.108908i
\(145\) 4.26300 3.69160i 0.354023 0.306571i
\(146\) 2.70119 + 5.74031i 0.223552 + 0.475072i
\(147\) 2.80740 + 1.54338i 0.231551 + 0.127296i
\(148\) −0.0339854 0.540182i −0.00279358 0.0444027i
\(149\) −2.22445 + 1.61616i −0.182234 + 0.132401i −0.675163 0.737669i \(-0.735927\pi\)
0.492928 + 0.870070i \(0.335927\pi\)
\(150\) −1.03731 1.14469i −0.0846962 0.0934635i
\(151\) 4.40252 + 3.19862i 0.358272 + 0.260300i 0.752331 0.658785i \(-0.228929\pi\)
−0.394059 + 0.919085i \(0.628929\pi\)
\(152\) 3.73937 5.89230i 0.303303 0.477929i
\(153\) −8.08542 + 1.02143i −0.653667 + 0.0825774i
\(154\) −23.3210 + 2.94613i −1.87926 + 0.237406i
\(155\) −9.60191 + 18.4383i −0.771244 + 1.48100i
\(156\) 0.551122 0.302982i 0.0441251 0.0242580i
\(157\) −4.89318 15.0597i −0.390518 1.20189i −0.932397 0.361436i \(-0.882287\pi\)
0.541879 0.840457i \(-0.317713\pi\)
\(158\) 4.98737 10.5987i 0.396774 0.843187i
\(159\) −2.02448 + 0.519797i −0.160551 + 0.0412226i
\(160\) 9.49023 + 7.49726i 0.750269 + 0.592710i
\(161\) −9.29504 11.2358i −0.732552 0.885503i
\(162\) −4.00872 6.31674i −0.314955 0.496290i
\(163\) −0.276989 + 4.40261i −0.0216955 + 0.344839i 0.972173 + 0.234266i \(0.0752687\pi\)
−0.993868 + 0.110573i \(0.964731\pi\)
\(164\) 4.68117 7.37635i 0.365538 0.575996i
\(165\) 0.675598 + 4.52520i 0.0525952 + 0.352286i
\(166\) −1.05308 + 16.7383i −0.0817352 + 1.29914i
\(167\) 1.96185 + 10.2844i 0.151813 + 0.795829i 0.973989 + 0.226596i \(0.0727598\pi\)
−0.822176 + 0.569233i \(0.807240\pi\)
\(168\) 1.22028 3.75562i 0.0941463 0.289752i
\(169\) −7.42240 6.97009i −0.570954 0.536161i
\(170\) −3.92677 + 4.37513i −0.301170 + 0.335557i
\(171\) 1.29478 6.78748i 0.0990144 0.519052i
\(172\) 5.18702 4.87094i 0.395507 0.371406i
\(173\) −4.07101 + 1.61183i −0.309513 + 0.122545i −0.517746 0.855534i \(-0.673229\pi\)
0.208233 + 0.978079i \(0.433229\pi\)
\(174\) −0.240776 + 0.741033i −0.0182532 + 0.0561776i
\(175\) 4.72478 + 19.8591i 0.357160 + 1.50121i
\(176\) 0.878413 + 2.70348i 0.0662129 + 0.203782i
\(177\) −0.720340 0.870741i −0.0541441 0.0654489i
\(178\) −0.326268 0.693356i −0.0244549 0.0519692i
\(179\) −4.43446 + 4.16423i −0.331447 + 0.311249i −0.832346 0.554256i \(-0.813003\pi\)
0.500899 + 0.865506i \(0.333003\pi\)
\(180\) 6.99852 + 2.10081i 0.521639 + 0.156585i
\(181\) 1.76787 + 0.223334i 0.131405 + 0.0166003i 0.190761 0.981637i \(-0.438905\pi\)
−0.0593557 + 0.998237i \(0.518905\pi\)
\(182\) 6.39013 0.473668
\(183\) −2.49658 0.315391i −0.184553 0.0233144i
\(184\) −6.64565 + 8.03321i −0.489924 + 0.592216i
\(185\) −0.978573 0.433820i −0.0719461 0.0318951i
\(186\) −0.180356 2.86667i −0.0132243 0.210195i
\(187\) 16.8652 4.33025i 1.23331 0.316659i
\(188\) 5.56032 1.42765i 0.405528 0.104122i
\(189\) −0.500343 7.95272i −0.0363946 0.578475i
\(190\) −2.49915 4.31275i −0.181307 0.312880i
\(191\) 7.88201 9.52772i 0.570322 0.689401i −0.403948 0.914782i \(-0.632362\pi\)
0.974271 + 0.225380i \(0.0723625\pi\)
\(192\) −1.96055 0.247675i −0.141491 0.0178744i
\(193\) −21.2332 −1.52840 −0.764200 0.644980i \(-0.776866\pi\)
−0.764200 + 0.644980i \(0.776866\pi\)
\(194\) 1.21742 + 0.153796i 0.0874056 + 0.0110419i
\(195\) −0.0280309 1.24348i −0.00200733 0.0890474i
\(196\) −7.96870 + 7.48311i −0.569193 + 0.534508i
\(197\) 5.04173 + 10.7142i 0.359208 + 0.763357i 0.999990 0.00436610i \(-0.00138978\pi\)
−0.640782 + 0.767723i \(0.721390\pi\)
\(198\) 10.6071 + 12.8218i 0.753813 + 0.911203i
\(199\) 1.46691 + 4.51468i 0.103986 + 0.320037i 0.989491 0.144593i \(-0.0461873\pi\)
−0.885505 + 0.464630i \(0.846187\pi\)
\(200\) 13.3141 5.97878i 0.941451 0.422764i
\(201\) 0.483547 1.48820i 0.0341067 0.104970i
\(202\) −7.57345 + 2.99854i −0.532866 + 0.210977i
\(203\) 7.50569 7.04831i 0.526796 0.494695i
\(204\) −0.197954 + 1.03771i −0.0138595 + 0.0726543i
\(205\) −8.66273 14.9492i −0.605031 1.04410i
\(206\) −7.61055 7.14678i −0.530252 0.497940i
\(207\) −3.18998 + 9.81774i −0.221719 + 0.682380i
\(208\) −0.144800 0.759066i −0.0100400 0.0526317i
\(209\) −0.926996 + 14.7342i −0.0641217 + 1.01918i
\(210\) −1.97661 2.01202i −0.136399 0.138843i
\(211\) −5.39127 + 8.49528i −0.371150 + 0.584839i −0.977649 0.210246i \(-0.932574\pi\)
0.606498 + 0.795085i \(0.292574\pi\)
\(212\) 0.447816 7.11783i 0.0307561 0.488855i
\(213\) −1.15035 1.81266i −0.0788206 0.124201i
\(214\) 1.80047 + 2.17639i 0.123077 + 0.148775i
\(215\) −3.80594 13.5479i −0.259563 0.923960i
\(216\) −5.51819 + 1.41683i −0.375465 + 0.0964031i
\(217\) −16.1611 + 34.3441i −1.09709 + 2.33143i
\(218\) −0.588821 1.81220i −0.0398800 0.122738i
\(219\) 1.97572 1.08616i 0.133507 0.0733961i
\(220\) −15.3974 2.57902i −1.03809 0.173878i
\(221\) −4.69614 + 0.593260i −0.315896 + 0.0399070i
\(222\) 0.146733 0.0185367i 0.00984806 0.00124410i
\(223\) −5.91391 + 9.31883i −0.396025 + 0.624035i −0.982573 0.185879i \(-0.940487\pi\)
0.586548 + 0.809915i \(0.300487\pi\)
\(224\) 17.8649 + 12.9796i 1.19365 + 0.867238i
\(225\) 10.0779 10.3570i 0.671858 0.690470i
\(226\) −9.66275 + 7.02040i −0.642756 + 0.466990i
\(227\) −0.633880 10.0752i −0.0420721 0.668717i −0.961388 0.275196i \(-0.911257\pi\)
0.919316 0.393520i \(-0.128743\pi\)
\(228\) −0.784916 0.431511i −0.0519823 0.0285775i
\(229\) −9.84627 20.9244i −0.650660 1.38272i −0.909052 0.416682i \(-0.863193\pi\)
0.258392 0.966040i \(-0.416807\pi\)
\(230\) 2.89663 + 6.86016i 0.190998 + 0.452345i
\(231\) 1.56535 + 8.20586i 0.102993 + 0.539906i
\(232\) −5.95560 4.32700i −0.391004 0.284081i
\(233\) 14.4337 7.93497i 0.945581 0.519837i 0.0671688 0.997742i \(-0.478603\pi\)
0.878412 + 0.477904i \(0.158603\pi\)
\(234\) −2.42391 3.81947i −0.158456 0.249687i
\(235\) 2.57489 11.0574i 0.167968 0.721305i
\(236\) 3.58524 1.41950i 0.233379 0.0924013i
\(237\) −3.87048 1.53243i −0.251415 0.0995422i
\(238\) −6.84202 + 8.27058i −0.443502 + 0.536102i
\(239\) 12.2857 + 3.15444i 0.794698 + 0.204044i 0.624149 0.781305i \(-0.285446\pi\)
0.170549 + 0.985349i \(0.445446\pi\)
\(240\) −0.194212 + 0.280388i −0.0125364 + 0.0180990i
\(241\) 12.9735 + 5.13657i 0.835696 + 0.330876i 0.746704 0.665157i \(-0.231635\pi\)
0.0889926 + 0.996032i \(0.471635\pi\)
\(242\) −18.4408 17.3171i −1.18542 1.11319i
\(243\) −6.88803 + 5.00445i −0.441867 + 0.321035i
\(244\) 3.65593 7.76925i 0.234047 0.497376i
\(245\) 5.84698 + 20.8133i 0.373550 + 1.32972i
\(246\) 2.09196 + 1.15007i 0.133379 + 0.0733255i
\(247\) 0.752029 3.94227i 0.0478505 0.250841i
\(248\) 26.2851 + 6.74887i 1.66911 + 0.428554i
\(249\) 5.96031 0.377720
\(250\) 0.604781 10.4069i 0.0382497 0.658189i
\(251\) 6.38750 0.403175 0.201588 0.979470i \(-0.435390\pi\)
0.201588 + 0.979470i \(0.435390\pi\)
\(252\) 12.9223 + 3.31787i 0.814026 + 0.209006i
\(253\) 4.13281 21.6649i 0.259827 1.36206i
\(254\) 3.80247 + 2.09043i 0.238588 + 0.131165i
\(255\) 1.63942 + 1.29513i 0.102664 + 0.0811045i
\(256\) 7.16546 15.2274i 0.447841 0.951711i
\(257\) 10.5434 7.66022i 0.657679 0.477831i −0.208200 0.978086i \(-0.566760\pi\)
0.865878 + 0.500255i \(0.166760\pi\)
\(258\) 1.41738 + 1.33101i 0.0882421 + 0.0828648i
\(259\) −1.81717 0.719467i −0.112913 0.0447055i
\(260\) 4.06485 + 1.22018i 0.252091 + 0.0756725i
\(261\) −7.05994 1.81268i −0.436999 0.112202i
\(262\) −7.56708 + 9.14703i −0.467496 + 0.565106i
\(263\) −1.46948 0.581810i −0.0906123 0.0358759i 0.322381 0.946610i \(-0.395517\pi\)
−0.412993 + 0.910734i \(0.635517\pi\)
\(264\) 5.55329 2.19870i 0.341781 0.135321i
\(265\) −12.0763 7.28735i −0.741839 0.447659i
\(266\) −4.87652 7.68416i −0.298999 0.471146i
\(267\) −0.238642 + 0.131194i −0.0146046 + 0.00802897i
\(268\) 4.31960 + 3.13837i 0.263862 + 0.191707i
\(269\) 0.0471816 + 0.247335i 0.00287672 + 0.0150803i 0.983697 0.179836i \(-0.0575566\pi\)
−0.980820 + 0.194916i \(0.937557\pi\)
\(270\) −0.922890 + 3.96318i −0.0561653 + 0.241191i
\(271\) −4.48654 9.53439i −0.272538 0.579173i 0.720966 0.692971i \(-0.243698\pi\)
−0.993504 + 0.113798i \(0.963698\pi\)
\(272\) 1.13748 + 0.625334i 0.0689698 + 0.0379164i
\(273\) −0.142595 2.26648i −0.00863024 0.137174i
\(274\) 9.95010 7.22917i 0.601107 0.436730i
\(275\) −18.5887 + 24.6526i −1.12094 + 1.48661i
\(276\) 1.08258 + 0.786540i 0.0651636 + 0.0473441i
\(277\) −2.71286 + 4.27478i −0.163000 + 0.256847i −0.916004 0.401169i \(-0.868604\pi\)
0.753004 + 0.658016i \(0.228604\pi\)
\(278\) −0.499966 + 0.0631603i −0.0299859 + 0.00378811i
\(279\) 26.6582 3.36772i 1.59599 0.201620i
\(280\) 23.8499 11.8866i 1.42530 0.710362i
\(281\) −24.7342 + 13.5978i −1.47552 + 0.811174i −0.997733 0.0673014i \(-0.978561\pi\)
−0.477787 + 0.878475i \(0.658561\pi\)
\(282\) 0.484744 + 1.49189i 0.0288661 + 0.0888407i
\(283\) −14.0443 + 29.8457i −0.834849 + 1.77415i −0.239059 + 0.971005i \(0.576839\pi\)
−0.595790 + 0.803140i \(0.703161\pi\)
\(284\) 7.09532 1.82177i 0.421030 0.108102i
\(285\) −1.47390 + 0.982647i −0.0873062 + 0.0582070i
\(286\) 6.16076 + 7.44708i 0.364294 + 0.440355i
\(287\) −16.9034 26.6354i −0.997773 1.57224i
\(288\) 0.981567 15.6016i 0.0578394 0.919331i
\(289\) −4.84866 + 7.64027i −0.285216 + 0.449428i
\(290\) −4.70590 + 2.34539i −0.276340 + 0.137726i
\(291\) 0.0273824 0.435231i 0.00160519 0.0255137i
\(292\) 1.44154 + 7.55681i 0.0843597 + 0.442229i
\(293\) −1.82930 + 5.63000i −0.106869 + 0.328908i −0.990164 0.139908i \(-0.955319\pi\)
0.883296 + 0.468816i \(0.155319\pi\)
\(294\) −2.17748 2.04479i −0.126993 0.119255i
\(295\) 0.785039 7.58548i 0.0457067 0.441644i
\(296\) −0.261835 + 1.37259i −0.0152189 + 0.0797801i
\(297\) 8.78575 8.25036i 0.509801 0.478735i
\(298\) 2.38365 0.943752i 0.138081 0.0546701i
\(299\) −1.85279 + 5.70229i −0.107149 + 0.329772i
\(300\) −0.873158 1.65730i −0.0504118 0.0956844i
\(301\) −7.93981 24.4362i −0.457643 1.40848i
\(302\) −3.23422 3.90950i −0.186109 0.224967i
\(303\) 1.23254 + 2.61927i 0.0708074 + 0.150473i
\(304\) −0.802279 + 0.753390i −0.0460138 + 0.0432099i
\(305\) −10.2884 13.5097i −0.589114 0.773565i
\(306\) 7.53876 + 0.952367i 0.430963 + 0.0544432i
\(307\) 14.7323 0.840819 0.420409 0.907335i \(-0.361886\pi\)
0.420409 + 0.907335i \(0.361886\pi\)
\(308\) −28.2799 3.57258i −1.61140 0.203567i
\(309\) −2.36502 + 2.85882i −0.134542 + 0.162633i
\(310\) 12.9469 14.4251i 0.735332 0.819292i
\(311\) 0.562061 + 8.93371i 0.0318716 + 0.506584i 0.981286 + 0.192557i \(0.0616782\pi\)
−0.949414 + 0.314027i \(0.898322\pi\)
\(312\) −1.57265 + 0.403789i −0.0890339 + 0.0228600i
\(313\) 14.2739 3.66490i 0.806806 0.207152i 0.177309 0.984155i \(-0.443261\pi\)
0.629497 + 0.777003i \(0.283261\pi\)
\(314\) 0.927045 + 14.7350i 0.0523162 + 0.831542i
\(315\) 17.6238 19.6361i 0.992989 1.10637i
\(316\) 9.05410 10.9445i 0.509333 0.615678i
\(317\) 27.6720 + 3.49578i 1.55421 + 0.196343i 0.855022 0.518592i \(-0.173544\pi\)
0.699191 + 0.714935i \(0.253544\pi\)
\(318\) 1.94883 0.109285
\(319\) 15.4504 + 1.95184i 0.865057 + 0.109282i
\(320\) −8.07946 10.6091i −0.451656 0.593068i
\(321\) 0.731755 0.687164i 0.0408426 0.0383537i
\(322\) 5.78902 + 12.3023i 0.322609 + 0.685580i
\(323\) 4.29717 + 5.19439i 0.239101 + 0.289024i
\(324\) −2.80346 8.62816i −0.155748 0.479342i
\(325\) 5.85338 6.01553i 0.324687 0.333682i
\(326\) 1.27101 3.91176i 0.0703947 0.216652i
\(327\) −0.629621 + 0.249285i −0.0348181 + 0.0137855i
\(328\) −16.4416 + 15.4397i −0.907834 + 0.852513i
\(329\) 3.88425 20.3619i 0.214146 1.12259i
\(330\) 0.439154 4.24335i 0.0241746 0.233589i
\(331\) −6.06326 5.69378i −0.333267 0.312958i 0.499789 0.866147i \(-0.333411\pi\)
−0.833056 + 0.553189i \(0.813411\pi\)
\(332\) −6.28466 + 19.3422i −0.344915 + 1.06154i
\(333\) 0.259254 + 1.35905i 0.0142070 + 0.0744757i
\(334\) 0.612959 9.74270i 0.0335396 0.533097i
\(335\) 9.45077 4.71020i 0.516351 0.257346i
\(336\) −0.333689 + 0.525810i −0.0182042 + 0.0286853i
\(337\) −1.56699 + 24.9066i −0.0853594 + 1.35675i 0.689348 + 0.724430i \(0.257897\pi\)
−0.774708 + 0.632319i \(0.782103\pi\)
\(338\) 5.08695 + 8.01575i 0.276694 + 0.435999i
\(339\) 2.70565 + 3.27057i 0.146951 + 0.177633i
\(340\) −5.93155 + 3.95456i −0.321684 + 0.214466i
\(341\) −55.6058 + 14.2771i −3.01122 + 0.773151i
\(342\) −2.74317 + 5.82953i −0.148333 + 0.315225i
\(343\) 3.36641 + 10.3607i 0.181769 + 0.559427i
\(344\) −16.0979 + 8.84991i −0.867942 + 0.477155i
\(345\) 2.36855 1.18047i 0.127519 0.0635544i
\(346\) 4.05026 0.511667i 0.217744 0.0275074i
\(347\) −22.9039 + 2.89344i −1.22955 + 0.155328i −0.713143 0.701018i \(-0.752729\pi\)
−0.516402 + 0.856346i \(0.672729\pi\)
\(348\) −0.506274 + 0.797760i −0.0271391 + 0.0427644i
\(349\) −6.00930 4.36601i −0.321670 0.233707i 0.415218 0.909722i \(-0.363705\pi\)
−0.736888 + 0.676015i \(0.763705\pi\)
\(350\) 0.337916 19.0303i 0.0180624 1.01721i
\(351\) −2.65065 + 1.92581i −0.141481 + 0.102792i
\(352\) 2.09717 + 33.3336i 0.111780 + 1.77669i
\(353\) 7.05918 + 3.88082i 0.375722 + 0.206555i 0.658414 0.752656i \(-0.271227\pi\)
−0.282692 + 0.959211i \(0.591227\pi\)
\(354\) 0.448633 + 0.953394i 0.0238446 + 0.0506723i
\(355\) 3.28573 14.1099i 0.174388 0.748878i
\(356\) −0.174119 0.912765i −0.00922831 0.0483765i
\(357\) 3.08613 + 2.24220i 0.163335 + 0.118670i
\(358\) 4.97033 2.73246i 0.262690 0.144415i
\(359\) 12.3113 + 19.3995i 0.649765 + 1.02387i 0.996310 + 0.0858326i \(0.0273550\pi\)
−0.346544 + 0.938034i \(0.612645\pi\)
\(360\) −16.1516 9.74658i −0.851263 0.513690i
\(361\) 12.3513 4.89021i 0.650066 0.257379i
\(362\) −1.54477 0.611619i −0.0811915 0.0321460i
\(363\) −5.73060 + 6.92710i −0.300778 + 0.363579i
\(364\) 7.50546 + 1.92707i 0.393393 + 0.101006i
\(365\) 14.5721 + 4.37424i 0.762740 + 0.228958i
\(366\) 2.18152 + 0.863726i 0.114030 + 0.0451477i
\(367\) −12.0890 11.3523i −0.631040 0.592586i 0.301582 0.953440i \(-0.402485\pi\)
−0.932622 + 0.360854i \(0.882485\pi\)
\(368\) 1.33018 0.966429i 0.0693402 0.0503786i
\(369\) −9.50857 + 20.2067i −0.494996 + 1.05192i
\(370\) 0.783154 + 0.618689i 0.0407142 + 0.0321641i
\(371\) −22.5673 12.4065i −1.17164 0.644113i
\(372\) 0.652669 3.42141i 0.0338393 0.177392i
\(373\) −15.5065 3.98138i −0.802895 0.206148i −0.175124 0.984546i \(-0.556033\pi\)
−0.627771 + 0.778398i \(0.716033\pi\)
\(374\) −16.2350 −0.839492
\(375\) −3.70465 + 0.0177217i −0.191307 + 0.000915147i
\(376\) −14.8206 −0.764316
\(377\) −4.10052 1.05284i −0.211188 0.0542238i
\(378\) −1.39219 + 7.29810i −0.0716064 + 0.375374i
\(379\) 32.0491 + 17.6191i 1.64625 + 0.905034i 0.988398 + 0.151888i \(0.0485353\pi\)
0.657853 + 0.753146i \(0.271465\pi\)
\(380\) −1.63475 5.81916i −0.0838607 0.298517i
\(381\) 0.656590 1.39532i 0.0336381 0.0714846i
\(382\) −9.32747 + 6.77681i −0.477235 + 0.346732i
\(383\) 7.21665 + 6.77689i 0.368754 + 0.346283i 0.846666 0.532125i \(-0.178606\pi\)
−0.477912 + 0.878408i \(0.658606\pi\)
\(384\) −1.61962 0.641252i −0.0826508 0.0327238i
\(385\) −32.0991 + 46.3421i −1.63592 + 2.36181i
\(386\) 19.1756 + 4.92347i 0.976015 + 0.250598i
\(387\) −11.5941 + 14.0149i −0.589363 + 0.712417i
\(388\) 1.38352 + 0.547776i 0.0702378 + 0.0278091i
\(389\) 0.681310 0.269750i 0.0345438 0.0136768i −0.350789 0.936454i \(-0.614087\pi\)
0.385333 + 0.922778i \(0.374087\pi\)
\(390\) −0.263018 + 1.12948i −0.0133185 + 0.0571936i
\(391\) −5.39652 8.50355i −0.272914 0.430043i
\(392\) 24.7309 13.5959i 1.24910 0.686697i
\(393\) 3.41317 + 2.47981i 0.172172 + 0.125090i
\(394\) −2.06880 10.8450i −0.104225 0.546365i
\(395\) −10.9272 25.8791i −0.549805 1.30212i
\(396\) 8.59177 + 18.2584i 0.431753 + 0.917521i
\(397\) −19.0227 10.4578i −0.954721 0.524862i −0.0733600 0.997306i \(-0.523372\pi\)
−0.881361 + 0.472443i \(0.843372\pi\)
\(398\) −0.277915 4.41733i −0.0139306 0.221421i
\(399\) −2.61663 + 1.90110i −0.130996 + 0.0951738i
\(400\) −2.26821 + 0.391083i −0.113410 + 0.0195542i
\(401\) 25.6920 + 18.6663i 1.28300 + 0.932152i 0.999639 0.0268626i \(-0.00855166\pi\)
0.283358 + 0.959014i \(0.408552\pi\)
\(402\) −0.781768 + 1.23187i −0.0389911 + 0.0614401i
\(403\) 15.4835 1.95602i 0.771289 0.0974364i
\(404\) −9.79958 + 1.23797i −0.487547 + 0.0615915i
\(405\) −17.6954 2.96394i −0.879292 0.147279i
\(406\) −8.41271 + 4.62492i −0.417516 + 0.229531i
\(407\) −0.913471 2.81137i −0.0452791 0.139355i
\(408\) 1.16125 2.46779i 0.0574906 0.122174i
\(409\) −19.4632 + 4.99730i −0.962393 + 0.247101i −0.697025 0.717047i \(-0.745493\pi\)
−0.265368 + 0.964147i \(0.585493\pi\)
\(410\) 4.35693 + 15.5093i 0.215173 + 0.765947i
\(411\) −2.78611 3.36783i −0.137429 0.166123i
\(412\) −6.78362 10.6893i −0.334205 0.526623i
\(413\) 0.874282 13.8963i 0.0430206 0.683793i
\(414\) 5.15736 8.12669i 0.253470 0.399405i
\(415\) 28.1872 + 28.6921i 1.38365 + 1.40844i
\(416\) 0.570109 9.06163i 0.0279519 0.444283i
\(417\) 0.0335586 + 0.175921i 0.00164337 + 0.00861487i
\(418\) 4.25367 13.0915i 0.208054 0.640324i
\(419\) −6.05387 5.68496i −0.295751 0.277728i 0.522439 0.852677i \(-0.325022\pi\)
−0.818190 + 0.574948i \(0.805022\pi\)
\(420\) −1.71484 2.95928i −0.0836756 0.144398i
\(421\) −4.00752 + 21.0082i −0.195315 + 1.02388i 0.740679 + 0.671859i \(0.234504\pi\)
−0.935994 + 0.352016i \(0.885496\pi\)
\(422\) 6.83869 6.42196i 0.332902 0.312616i
\(423\) −13.6440 + 5.40204i −0.663394 + 0.262656i
\(424\) −5.68974 + 17.5112i −0.276318 + 0.850420i
\(425\) 1.51844 + 14.0168i 0.0736549 + 0.679915i
\(426\) 0.618564 + 1.90375i 0.0299695 + 0.0922368i
\(427\) −19.7633 23.8898i −0.956415 1.15611i
\(428\) 1.45838 + 3.09922i 0.0704936 + 0.149807i
\(429\) 2.50389 2.35131i 0.120889 0.113522i
\(430\) 0.295701 + 13.1176i 0.0142600 + 0.632586i
\(431\) 4.50434 + 0.569031i 0.216967 + 0.0274092i 0.233065 0.972461i \(-0.425125\pi\)
−0.0160984 + 0.999870i \(0.505125\pi\)
\(432\) 0.898467 0.0432275
\(433\) 20.8587 + 2.63506i 1.00240 + 0.126633i 0.609366 0.792889i \(-0.291424\pi\)
0.393038 + 0.919522i \(0.371424\pi\)
\(434\) 22.5586 27.2687i 1.08285 1.30894i
\(435\) 0.936884 + 1.61677i 0.0449201 + 0.0775183i
\(436\) −0.145086 2.30607i −0.00694835 0.110441i
\(437\) 8.27095 2.12362i 0.395653 0.101587i
\(438\) −2.03613 + 0.522788i −0.0972898 + 0.0249798i
\(439\) −2.01157 31.9730i −0.0960071 1.52599i −0.691351 0.722519i \(-0.742984\pi\)
0.595344 0.803471i \(-0.297016\pi\)
\(440\) 36.8466 + 16.3348i 1.75659 + 0.778731i
\(441\) 17.8118 21.5308i 0.848181 1.02527i
\(442\) 4.37863 + 0.553150i 0.208270 + 0.0263107i
\(443\) 8.33622 0.396066 0.198033 0.980195i \(-0.436545\pi\)
0.198033 + 0.980195i \(0.436545\pi\)
\(444\) 0.177933 + 0.0224782i 0.00844434 + 0.00106677i
\(445\) −1.76012 0.528352i −0.0834379 0.0250463i
\(446\) 7.50165 7.04452i 0.355213 0.333568i
\(447\) −0.387925 0.824382i −0.0183482 0.0389919i
\(448\) −15.5201 18.7605i −0.733254 0.886352i
\(449\) −7.01672 21.5952i −0.331139 1.01914i −0.968593 0.248653i \(-0.920012\pi\)
0.637453 0.770489i \(-0.279988\pi\)
\(450\) −11.5028 + 7.01660i −0.542249 + 0.330766i
\(451\) 14.7444 45.3786i 0.694286 2.13679i
\(452\) −13.4664 + 5.33173i −0.633406 + 0.250783i
\(453\) −1.31447 + 1.23437i −0.0617591 + 0.0579957i
\(454\) −1.76375 + 9.24590i −0.0827768 + 0.433931i
\(455\) 10.2362 11.4049i 0.479880 0.534672i
\(456\) 1.68570 + 1.58298i 0.0789401 + 0.0741297i
\(457\) −0.224236 + 0.690128i −0.0104893 + 0.0322828i −0.956164 0.292831i \(-0.905403\pi\)
0.945675 + 0.325114i \(0.105403\pi\)
\(458\) 4.04028 + 21.1799i 0.188790 + 0.989670i
\(459\) 0.345569 5.49266i 0.0161298 0.256375i
\(460\) 1.33338 + 8.93105i 0.0621691 + 0.416412i
\(461\) −4.96592 + 7.82504i −0.231286 + 0.364449i −0.940073 0.340975i \(-0.889243\pi\)
0.708786 + 0.705423i \(0.249243\pi\)
\(462\) 0.489077 7.77366i 0.0227539 0.361663i
\(463\) 14.0915 + 22.2047i 0.654890 + 1.03194i 0.995774 + 0.0918359i \(0.0292735\pi\)
−0.340884 + 0.940105i \(0.610726\pi\)
\(464\) 0.740012 + 0.894521i 0.0343542 + 0.0415271i
\(465\) −5.40528 4.27015i −0.250664 0.198024i
\(466\) −14.8749 + 3.81923i −0.689068 + 0.176923i
\(467\) 5.81641 12.3605i 0.269151 0.571976i −0.723866 0.689940i \(-0.757637\pi\)
0.993018 + 0.117964i \(0.0376368\pi\)
\(468\) −1.69514 5.21709i −0.0783577 0.241160i
\(469\) 16.8951 9.28815i 0.780143 0.428887i
\(470\) −4.88932 + 9.38885i −0.225528 + 0.433075i
\(471\) 5.20557 0.657617i 0.239860 0.0303014i
\(472\) −9.87655 + 1.24770i −0.454605 + 0.0574300i
\(473\) 20.8232 32.8122i 0.957453 1.50870i
\(474\) 3.14009 + 2.28141i 0.144229 + 0.104789i
\(475\) −11.7006 2.44807i −0.536861 0.112325i
\(476\) −10.5304 + 7.65077i −0.482659 + 0.350672i
\(477\) 1.14472 + 18.1948i 0.0524132 + 0.833085i
\(478\) −10.3638 5.69753i −0.474028 0.260599i
\(479\) 3.75425 + 7.97819i 0.171536 + 0.364533i 0.972047 0.234785i \(-0.0754386\pi\)
−0.800511 + 0.599318i \(0.795439\pi\)
\(480\) −3.02952 + 2.62346i −0.138278 + 0.119744i
\(481\) 0.150578 + 0.789360i 0.00686579 + 0.0359917i
\(482\) −10.5253 7.64707i −0.479414 0.348314i
\(483\) 4.23425 2.32780i 0.192665 0.105918i
\(484\) −16.4371 25.9008i −0.747143 1.17731i
\(485\) 2.22464 1.92646i 0.101016 0.0874759i
\(486\) 7.38097 2.92233i 0.334808 0.132560i
\(487\) 35.8826 + 14.2069i 1.62600 + 0.643778i 0.991613 0.129240i \(-0.0412538\pi\)
0.634384 + 0.773018i \(0.281254\pi\)
\(488\) −14.1301 + 17.0804i −0.639641 + 0.773194i
\(489\) −1.41580 0.363517i −0.0640248 0.0164388i
\(490\) −0.454278 20.1522i −0.0205222 0.910386i
\(491\) 18.8271 + 7.45419i 0.849657 + 0.336403i 0.752279 0.658844i \(-0.228954\pi\)
0.0973780 + 0.995247i \(0.468954\pi\)
\(492\) 2.11026 + 1.98167i 0.0951380 + 0.0893405i
\(493\) 5.75316 4.17991i 0.259109 0.188254i
\(494\) −1.59327 + 3.38588i −0.0716848 + 0.152338i
\(495\) 39.8752 + 1.60758i 1.79226 + 0.0722551i
\(496\) −3.75035 2.06177i −0.168396 0.0925763i
\(497\) 4.95655 25.9832i 0.222332 1.16550i
\(498\) −5.38274 1.38205i −0.241207 0.0619313i
\(499\) 31.3155 1.40187 0.700936 0.713224i \(-0.252766\pi\)
0.700936 + 0.713224i \(0.252766\pi\)
\(500\) 3.84874 12.0409i 0.172121 0.538485i
\(501\) −3.46926 −0.154995
\(502\) −5.76853 1.48111i −0.257462 0.0661051i
\(503\) 1.14355 5.99471i 0.0509885 0.267291i −0.947659 0.319284i \(-0.896557\pi\)
0.998647 + 0.0519934i \(0.0165575\pi\)
\(504\) −30.1830 16.5932i −1.34446 0.739122i
\(505\) −6.77998 + 18.3202i −0.301705 + 0.815237i
\(506\) −8.75590 + 18.6072i −0.389247 + 0.827193i
\(507\) 2.72955 1.98313i 0.121223 0.0880740i
\(508\) 3.83574 + 3.60200i 0.170183 + 0.159813i
\(509\) −6.80668 2.69495i −0.301701 0.119452i 0.212397 0.977183i \(-0.431873\pi\)
−0.514097 + 0.857732i \(0.671873\pi\)
\(510\) −1.18024 1.54977i −0.0522620 0.0686251i
\(511\) 26.9064 + 6.90838i 1.19027 + 0.305609i
\(512\) −3.30012 + 3.98915i −0.145846 + 0.176297i
\(513\) 4.33859 + 1.71777i 0.191553 + 0.0758413i
\(514\) −11.2979 + 4.47317i −0.498330 + 0.197303i
\(515\) −24.9465 + 2.13488i −1.09928 + 0.0940742i
\(516\) 1.26337 + 1.99076i 0.0556169 + 0.0876382i
\(517\) 27.4747 15.1043i 1.20834 0.664288i
\(518\) 1.47425 + 1.07111i 0.0647749 + 0.0470617i
\(519\) −0.271862 1.42515i −0.0119334 0.0625571i
\(520\) −9.38109 5.66096i −0.411388 0.248250i
\(521\) −11.7973 25.0706i −0.516851 1.09836i −0.977530 0.210797i \(-0.932394\pi\)
0.460679 0.887567i \(-0.347606\pi\)
\(522\) 5.95550 + 3.27406i 0.260665 + 0.143302i
\(523\) −0.409560 6.50977i −0.0179088 0.284652i −0.996781 0.0801774i \(-0.974451\pi\)
0.978872 0.204475i \(-0.0655487\pi\)
\(524\) −11.6463 + 8.46153i −0.508771 + 0.369644i
\(525\) −6.75728 + 0.304804i −0.294912 + 0.0133028i
\(526\) 1.19218 + 0.866169i 0.0519815 + 0.0377668i
\(527\) −14.0468 + 22.1342i −0.611889 + 0.964183i
\(528\) −0.934493 + 0.118054i −0.0406686 + 0.00513764i
\(529\) 10.1621 1.28377i 0.441830 0.0558161i
\(530\) 9.21628 + 9.38139i 0.400330 + 0.407501i
\(531\) −8.63765 + 4.74859i −0.374842 + 0.206071i
\(532\) −3.41034 10.4960i −0.147857 0.455057i
\(533\) −5.52273 + 11.7364i −0.239216 + 0.508360i
\(534\) 0.245938 0.0631461i 0.0106428 0.00273260i
\(535\) 6.76849 + 0.272873i 0.292627 + 0.0117973i
\(536\) −8.78656 10.6211i −0.379521 0.458763i
\(537\) −1.08007 1.70192i −0.0466086 0.0734434i
\(538\) 0.0147414 0.234308i 0.000635547 0.0101017i
\(539\) −31.9902 + 50.4086i −1.37792 + 2.17125i
\(540\) −2.27914 + 4.37658i −0.0980788 + 0.188338i
\(541\) 0.578883 9.20109i 0.0248881 0.395586i −0.965787 0.259338i \(-0.916496\pi\)
0.990675 0.136248i \(-0.0435043\pi\)
\(542\) 1.84099 + 9.65080i 0.0790772 + 0.414537i
\(543\) −0.182460 + 0.561556i −0.00783013 + 0.0240987i
\(544\) 11.1178 + 10.4403i 0.476672 + 0.447625i
\(545\) −4.17759 1.85201i −0.178948 0.0793313i
\(546\) −0.396765 + 2.07992i −0.0169800 + 0.0890122i
\(547\) −8.96922 + 8.42266i −0.383496 + 0.360127i −0.852189 0.523235i \(-0.824725\pi\)
0.468693 + 0.883361i \(0.344725\pi\)
\(548\) 13.8669 5.49028i 0.592363 0.234533i
\(549\) −6.78261 + 20.8747i −0.289475 + 0.890911i
\(550\) 22.5037 17.9534i 0.959562 0.765535i
\(551\) 1.86320 + 5.73435i 0.0793751 + 0.244292i
\(552\) −2.20209 2.66187i −0.0937271 0.113297i
\(553\) −21.8383 46.4088i −0.928661 1.97351i
\(554\) 3.44119 3.23150i 0.146202 0.137293i
\(555\) 0.201963 0.291578i 0.00857287 0.0123768i
\(556\) −0.606276 0.0765904i −0.0257118 0.00324816i
\(557\) 23.5217 0.996647 0.498323 0.866991i \(-0.333949\pi\)
0.498323 + 0.866991i \(0.333949\pi\)
\(558\) −24.8559 3.14003i −1.05223 0.132928i
\(559\) −6.73405 + 8.14007i −0.284820 + 0.344288i
\(560\) −4.10925 + 0.880298i −0.173647 + 0.0371994i
\(561\) 0.362282 + 5.75830i 0.0152955 + 0.243116i
\(562\) 25.4904 6.54482i 1.07525 0.276077i
\(563\) 14.2182 3.65062i 0.599227 0.153855i 0.0631209 0.998006i \(-0.479895\pi\)
0.536106 + 0.844150i \(0.319895\pi\)
\(564\) 0.119441 + 1.89846i 0.00502938 + 0.0799397i
\(565\) −2.94866 + 28.4916i −0.124051 + 1.19865i
\(566\) 19.6039 23.6971i 0.824014 0.996062i
\(567\) −32.5006 4.10578i −1.36490 0.172427i
\(568\) −18.9121 −0.793533
\(569\) −33.0889 4.18010i −1.38716 0.175239i −0.603963 0.797012i \(-0.706413\pi\)
−0.783197 + 0.621773i \(0.786413\pi\)
\(570\) 1.55893 0.545664i 0.0652962 0.0228554i
\(571\) −0.312300 + 0.293269i −0.0130693 + 0.0122729i −0.691054 0.722803i \(-0.742853\pi\)
0.677985 + 0.735076i \(0.262853\pi\)
\(572\) 4.99023 + 10.6048i 0.208652 + 0.443408i
\(573\) 2.61177 + 3.15709i 0.109108 + 0.131889i
\(574\) 9.08926 + 27.9739i 0.379378 + 1.16761i
\(575\) 16.8839 + 5.81928i 0.704106 + 0.242681i
\(576\) −5.32635 + 16.3928i −0.221931 + 0.683034i
\(577\) 37.7635 14.9516i 1.57211 0.622444i 0.589444 0.807809i \(-0.299347\pi\)
0.982670 + 0.185365i \(0.0593469\pi\)
\(578\) 6.15041 5.77562i 0.255823 0.240234i
\(579\) 1.31838 6.91117i 0.0547898 0.287218i
\(580\) −6.23455 + 1.33559i −0.258876 + 0.0554573i
\(581\) 53.5336 + 50.2714i 2.22095 + 2.08561i
\(582\) −0.125649 + 0.386707i −0.00520831 + 0.0160295i
\(583\) −7.29871 38.2612i −0.302282 1.58462i
\(584\) 1.24709 19.8220i 0.0516050 0.820238i
\(585\) −10.6997 1.79217i −0.442378 0.0740972i
\(586\) 2.95749 4.66027i 0.122173 0.192514i
\(587\) 1.78035 28.2978i 0.0734829 1.16798i −0.772589 0.634907i \(-0.781038\pi\)
0.846071 0.533070i \(-0.178962\pi\)
\(588\) −1.94089 3.05835i −0.0800409 0.126124i
\(589\) −14.1681 17.1263i −0.583786 0.705676i
\(590\) −2.46786 + 6.66839i −0.101600 + 0.274533i
\(591\) −3.80040 + 0.975777i −0.156328 + 0.0401381i
\(592\) 0.0938273 0.199393i 0.00385628 0.00819501i
\(593\) −2.61092 8.03559i −0.107218 0.329982i 0.883027 0.469323i \(-0.155502\pi\)
−0.990245 + 0.139340i \(0.955502\pi\)
\(594\) −9.84744 + 5.41368i −0.404046 + 0.222126i
\(595\) 3.80108 + 25.4599i 0.155829 + 1.04375i
\(596\) 3.08429 0.389636i 0.126337 0.0159601i
\(597\) −1.56056 + 0.197144i −0.0638694 + 0.00806858i
\(598\) 2.99547 4.72011i 0.122494 0.193020i
\(599\) 14.7042 + 10.6832i 0.600798 + 0.436505i 0.846162 0.532926i \(-0.178908\pi\)
−0.245364 + 0.969431i \(0.578908\pi\)
\(600\) 1.11935 + 4.70483i 0.0456972 + 0.192074i
\(601\) −30.4496 + 22.1229i −1.24206 + 0.902412i −0.997734 0.0672805i \(-0.978568\pi\)
−0.244329 + 0.969692i \(0.578568\pi\)
\(602\) 1.50425 + 23.9093i 0.0613086 + 0.974472i
\(603\) −11.9603 6.57524i −0.487062 0.267764i
\(604\) −2.61973 5.56720i −0.106595 0.226526i
\(605\) −60.4470 + 5.17295i −2.45752 + 0.210310i
\(606\) −0.505754 2.65125i −0.0205448 0.107700i
\(607\) 22.4015 + 16.2757i 0.909250 + 0.660609i 0.940825 0.338893i \(-0.110052\pi\)
−0.0315753 + 0.999501i \(0.510052\pi\)
\(608\) −11.3317 + 6.22966i −0.459562 + 0.252646i
\(609\) 1.82812 + 2.88065i 0.0740790 + 0.116730i
\(610\) 6.15888 + 14.5862i 0.249366 + 0.590580i
\(611\) −7.92465 + 3.13759i −0.320597 + 0.126933i
\(612\) 8.56736 + 3.39206i 0.346315 + 0.137116i
\(613\) −10.6896 + 12.9215i −0.431748 + 0.521894i −0.940855 0.338809i \(-0.889976\pi\)
0.509107 + 0.860703i \(0.329976\pi\)
\(614\) −13.3047 3.41607i −0.536935 0.137862i
\(615\) 5.40367 1.89142i 0.217897 0.0762695i
\(616\) 68.4224 + 27.0904i 2.75682 + 1.09150i
\(617\) −31.7011 29.7693i −1.27624 1.19847i −0.969063 0.246814i \(-0.920616\pi\)
−0.307175 0.951653i \(-0.599384\pi\)
\(618\) 2.79874 2.03340i 0.112582 0.0817955i
\(619\) −17.1197 + 36.3812i −0.688099 + 1.46228i 0.189001 + 0.981977i \(0.439475\pi\)
−0.877100 + 0.480308i \(0.840525\pi\)
\(620\) 19.5568 13.0385i 0.785418 0.523638i
\(621\) −6.10887 3.35838i −0.245140 0.134767i
\(622\) 1.56392 8.19834i 0.0627073 0.328723i
\(623\) −3.24994 0.834444i −0.130206 0.0334313i
\(624\) 0.256058 0.0102505
\(625\) −17.6052 17.7499i −0.704206 0.709996i
\(626\) −13.7405 −0.549180
\(627\) −4.73825 1.21658i −0.189228 0.0485854i
\(628\) −3.35477 + 17.5863i −0.133870 + 0.701771i
\(629\) −1.18287 0.650291i −0.0471643 0.0259288i
\(630\) −20.4691 + 13.6468i −0.815510 + 0.543700i
\(631\) −4.85565 + 10.3188i −0.193300 + 0.410784i −0.977857 0.209273i \(-0.932890\pi\)
0.784557 + 0.620057i \(0.212890\pi\)
\(632\) −29.6674 + 21.5546i −1.18010 + 0.857396i
\(633\) −2.43037 2.28227i −0.0965986 0.0907121i
\(634\) −24.1799 9.57350i −0.960306 0.380212i
\(635\) 9.82201 3.43796i 0.389775 0.136431i
\(636\) 2.28897 + 0.587708i 0.0907636 + 0.0233041i
\(637\) 10.3454 12.5054i 0.409898 0.495482i
\(638\) −13.5006 5.34528i −0.534495 0.211622i
\(639\) −17.4106 + 6.89335i −0.688753 + 0.272697i
\(640\) −4.57251 10.8292i −0.180744 0.428062i
\(641\) −6.74084 10.6219i −0.266247 0.419538i 0.684731 0.728796i \(-0.259920\pi\)
−0.950978 + 0.309257i \(0.899920\pi\)
\(642\) −0.820183 + 0.450899i −0.0323700 + 0.0177956i
\(643\) 11.5538 + 8.39431i 0.455636 + 0.331039i 0.791817 0.610758i \(-0.209135\pi\)
−0.336181 + 0.941797i \(0.609135\pi\)
\(644\) 3.08942 + 16.1953i 0.121740 + 0.638184i
\(645\) 4.64601 0.397597i 0.182936 0.0156554i
\(646\) −2.67631 5.68745i −0.105298 0.223770i
\(647\) 17.8556 + 9.81618i 0.701975 + 0.385914i 0.792410 0.609989i \(-0.208826\pi\)
−0.0904357 + 0.995902i \(0.528826\pi\)
\(648\) 1.47065 + 23.3754i 0.0577727 + 0.918271i
\(649\) 17.0377 12.3786i 0.668789 0.485903i
\(650\) −6.68103 + 4.07535i −0.262052 + 0.159848i
\(651\) −10.1752 7.39270i −0.398797 0.289743i
\(652\) 2.67252 4.21121i 0.104664 0.164924i
\(653\) −29.3419 + 3.70674i −1.14824 + 0.145056i −0.676334 0.736595i \(-0.736433\pi\)
−0.471903 + 0.881651i \(0.656433\pi\)
\(654\) 0.626412 0.0791343i 0.0244947 0.00309440i
\(655\) 4.20389 + 28.1579i 0.164260 + 1.10022i
\(656\) 3.11697 1.71357i 0.121697 0.0669037i
\(657\) −6.07691 18.7028i −0.237083 0.729666i
\(658\) −8.22930 + 17.4882i −0.320812 + 0.681759i
\(659\) 18.8416 4.83769i 0.733963 0.188450i 0.136833 0.990594i \(-0.456308\pi\)
0.597130 + 0.802144i \(0.296308\pi\)
\(660\) 1.79547 4.85154i 0.0698886 0.188846i
\(661\) 12.1626 + 14.7021i 0.473072 + 0.571846i 0.952035 0.305989i \(-0.0989872\pi\)
−0.478963 + 0.877835i \(0.658987\pi\)
\(662\) 4.15546 + 6.54796i 0.161507 + 0.254494i
\(663\) 0.0984851 1.56538i 0.00382484 0.0607942i
\(664\) 28.1338 44.3317i 1.09180 1.72040i
\(665\) −21.5261 3.60556i −0.834745 0.139818i
\(666\) 0.0810009 1.28747i 0.00313872 0.0498886i
\(667\) −1.68787 8.84813i −0.0653546 0.342601i
\(668\) 3.65805 11.2583i 0.141534 0.435598i
\(669\) −2.66598 2.50352i −0.103073 0.0967917i
\(670\) −9.62715 + 2.06236i −0.371929 + 0.0796760i
\(671\) 8.78728 46.0645i 0.339229 1.77830i
\(672\) −5.33396 + 5.00892i −0.205762 + 0.193223i
\(673\) 9.97363 3.94884i 0.384455 0.152217i −0.167944 0.985797i \(-0.553713\pi\)
0.552399 + 0.833580i \(0.313713\pi\)
\(674\) 7.19039 22.1297i 0.276963 0.852406i
\(675\) 5.59502 + 7.99565i 0.215353 + 0.307753i
\(676\) 3.55750 + 10.9489i 0.136827 + 0.421110i
\(677\) −22.1148 26.7322i −0.849940 1.02740i −0.999254 0.0386108i \(-0.987707\pi\)
0.149315 0.988790i \(-0.452293\pi\)
\(678\) −1.68510 3.58101i −0.0647158 0.137528i
\(679\) 3.91683 3.67815i 0.150314 0.141155i
\(680\) 17.3713 6.08041i 0.666160 0.233173i
\(681\) 3.31873 + 0.419253i 0.127174 + 0.0160658i
\(682\) 53.5280 2.04969
\(683\) −16.4814 2.08208i −0.630642 0.0796686i −0.196487 0.980507i \(-0.562953\pi\)
−0.434156 + 0.900838i \(0.642953\pi\)
\(684\) −4.97996 + 6.01974i −0.190414 + 0.230171i
\(685\) 3.03635 29.3389i 0.116013 1.12098i
\(686\) −0.637787 10.1373i −0.0243508 0.387045i
\(687\) 7.42201 1.90565i 0.283167 0.0727050i
\(688\) 2.80603 0.720467i 0.106979 0.0274676i
\(689\) 0.664873 + 10.5678i 0.0253296 + 0.402603i
\(690\) −2.41276 + 0.516870i −0.0918521 + 0.0196769i
\(691\) 8.98969 10.8667i 0.341984 0.413388i −0.571280 0.820755i \(-0.693553\pi\)
0.913264 + 0.407367i \(0.133553\pi\)
\(692\) 4.91149 + 0.620466i 0.186707 + 0.0235866i
\(693\) 72.8645 2.76789
\(694\) 21.3554 + 2.69781i 0.810639 + 0.102407i
\(695\) −0.688154 + 0.993501i −0.0261032 + 0.0376856i
\(696\) 1.77817 1.66982i 0.0674015 0.0632942i
\(697\) −9.27683 19.7143i −0.351385 0.746731i
\(698\) 4.41461 + 5.33635i 0.167095 + 0.201984i
\(699\) 1.68655 + 5.19068i 0.0637913 + 0.196330i
\(700\) 6.13586 22.2499i 0.231914 0.840966i
\(701\) −10.3474 + 31.8460i −0.390816 + 1.20281i 0.541357 + 0.840793i \(0.317911\pi\)
−0.932173 + 0.362014i \(0.882089\pi\)
\(702\) 2.84034 1.12457i 0.107202 0.0424442i
\(703\) 0.834298 0.783458i 0.0314661 0.0295487i
\(704\) 6.90061 36.1743i 0.260076 1.36337i
\(705\) 3.43918 + 1.52466i 0.129527 + 0.0574219i
\(706\) −5.47526 5.14161i −0.206064 0.193507i
\(707\) −11.0216 + 33.9211i −0.414511 + 1.27573i
\(708\) 0.239421 + 1.25509i 0.00899801 + 0.0471692i
\(709\) −1.45572 + 23.1380i −0.0546707 + 0.868966i 0.871153 + 0.491011i \(0.163373\pi\)
−0.925824 + 0.377955i \(0.876627\pi\)
\(710\) −6.23909 + 11.9808i −0.234149 + 0.449630i
\(711\) −19.4555 + 30.6569i −0.729637 + 1.14972i
\(712\) −0.150633 + 2.39424i −0.00564520 + 0.0897278i
\(713\) 17.7927 + 28.0368i 0.666343 + 1.04999i
\(714\) −2.26716 2.74052i −0.0848463 0.102562i
\(715\) 23.1601 + 0.933705i 0.866139 + 0.0349186i
\(716\) 6.66187 1.71048i 0.248966 0.0639235i
\(717\) −1.78956 + 3.80301i −0.0668324 + 0.142026i
\(718\) −6.62002 20.3743i −0.247057 0.760363i
\(719\) −16.7905 + 9.23066i −0.626180 + 0.344245i −0.763046 0.646344i \(-0.776297\pi\)
0.136866 + 0.990590i \(0.456297\pi\)
\(720\) 2.08489 + 2.12224i 0.0776992 + 0.0790911i
\(721\) −45.3542 + 5.72957i −1.68908 + 0.213380i
\(722\) −12.2883 + 1.55237i −0.457323 + 0.0577734i
\(723\) −2.47742 + 3.90380i −0.0921364 + 0.145184i
\(724\) −1.62995 1.18423i −0.0605766 0.0440115i
\(725\) −3.35226 + 12.1560i −0.124500 + 0.451462i
\(726\) 6.78152 4.92706i 0.251686 0.182860i
\(727\) −0.409557 6.50973i −0.0151896 0.241432i −0.998294 0.0583867i \(-0.981404\pi\)
0.983104 0.183046i \(-0.0585956\pi\)
\(728\) −17.5307 9.63761i −0.649733 0.357194i
\(729\) 9.04798 + 19.2279i 0.335111 + 0.712146i
\(730\) −12.1458 7.32929i −0.449535 0.271269i
\(731\) −3.32522 17.4314i −0.122988 0.644724i
\(732\) 2.30181 + 1.67236i 0.0850773 + 0.0618122i
\(733\) −17.8492 + 9.81270i −0.659276 + 0.362440i −0.776008 0.630723i \(-0.782758\pi\)
0.116732 + 0.993164i \(0.462758\pi\)
\(734\) 8.28520 + 13.0554i 0.305812 + 0.481883i
\(735\) −7.13755 + 0.610820i −0.263272 + 0.0225304i
\(736\) 17.9619 7.11163i 0.662086 0.262138i
\(737\) 27.1131 + 10.7348i 0.998723 + 0.395423i
\(738\) 13.2726 16.0438i 0.488572 0.590582i
\(739\) −33.4390 8.58567i −1.23007 0.315829i −0.422917 0.906168i \(-0.638994\pi\)
−0.807155 + 0.590339i \(0.798994\pi\)
\(740\) 0.733266 + 0.962850i 0.0269554 + 0.0353951i
\(741\) 1.23647 + 0.489554i 0.0454230 + 0.0179842i
\(742\) 17.5037 + 16.4371i 0.642582 + 0.603424i
\(743\) −17.5480 + 12.7494i −0.643774 + 0.467729i −0.861145 0.508360i \(-0.830252\pi\)
0.217371 + 0.976089i \(0.430252\pi\)
\(744\) −3.82873 + 8.13647i −0.140368 + 0.298298i
\(745\) 2.13391 5.76604i 0.0781805 0.211251i
\(746\) 13.0807 + 7.19116i 0.478917 + 0.263287i
\(747\) 9.74150 51.0668i 0.356423 1.86843i
\(748\) −19.0686 4.89599i −0.697218 0.179015i
\(749\) 12.3682 0.451923
\(750\) 3.34977 + 0.843016i 0.122316 + 0.0307826i
\(751\) −21.6995 −0.791826 −0.395913 0.918288i \(-0.629572\pi\)
−0.395913 + 0.918288i \(0.629572\pi\)
\(752\) 2.26384 + 0.581256i 0.0825538 + 0.0211962i
\(753\) −0.396602 + 2.07906i −0.0144530 + 0.0757652i
\(754\) 3.45904 + 1.90163i 0.125971 + 0.0692531i
\(755\) −12.1584 0.490168i −0.442489 0.0178390i
\(756\) −3.83606 + 8.15205i −0.139516 + 0.296487i
\(757\) −25.4773 + 18.5103i −0.925988 + 0.672769i −0.945007 0.327050i \(-0.893946\pi\)
0.0190196 + 0.999819i \(0.493946\pi\)
\(758\) −24.8580 23.3432i −0.902883 0.847863i
\(759\) 6.79509 + 2.69036i 0.246646 + 0.0976541i
\(760\) 0.351679 + 15.6009i 0.0127568 + 0.565903i
\(761\) −14.1041 3.62131i −0.511272 0.131272i −0.0157640 0.999876i \(-0.505018\pi\)
−0.495508 + 0.868603i \(0.665018\pi\)
\(762\) −0.916507 + 1.10787i −0.0332015 + 0.0401338i
\(763\) −7.75761 3.07145i −0.280844 0.111194i
\(764\) −12.9992 + 5.14673i −0.470293 + 0.186202i
\(765\) 13.7759 11.9294i 0.498069 0.431309i
\(766\) −4.94594 7.79356i −0.178704 0.281593i
\(767\) −5.01688 + 2.75806i −0.181149 + 0.0995876i
\(768\) 4.51144 + 3.27775i 0.162792 + 0.118276i
\(769\) 1.26960 + 6.65550i 0.0457831 + 0.240003i 0.997821 0.0659761i \(-0.0210161\pi\)
−0.952038 + 0.305979i \(0.901016\pi\)
\(770\) 39.7342 34.4084i 1.43192 1.23999i
\(771\) 1.83867 + 3.90738i 0.0662182 + 0.140721i
\(772\) 21.0378 + 11.5656i 0.757165 + 0.416255i
\(773\) −2.75268 43.7526i −0.0990070 1.57367i −0.663463 0.748209i \(-0.730914\pi\)
0.564456 0.825463i \(-0.309086\pi\)
\(774\) 13.7203 9.96842i 0.493168 0.358307i
\(775\) −5.00639 46.2144i −0.179835 1.66007i
\(776\) −3.10792 2.25804i −0.111568 0.0810588i
\(777\) 0.347007 0.546795i 0.0124488 0.0196162i
\(778\) −0.677837 + 0.0856308i −0.0243017 + 0.00307001i
\(779\) 18.3276 2.31532i 0.656656 0.0829549i
\(780\) −0.649543 + 1.24730i −0.0232574 + 0.0446606i
\(781\) 35.0595 19.2741i 1.25453 0.689682i
\(782\) 2.90181 + 8.93086i 0.103769 + 0.319367i
\(783\) 2.09579 4.45379i 0.0748975 0.159165i
\(784\) −4.31085 + 1.10684i −0.153959 + 0.0395299i
\(785\) 27.7836 + 21.9490i 0.991639 + 0.783392i
\(786\) −2.50741 3.03094i −0.0894365 0.108110i
\(787\) 15.4242 + 24.3047i 0.549814 + 0.866369i 0.999642 0.0267465i \(-0.00851470\pi\)
−0.449828 + 0.893115i \(0.648515\pi\)
\(788\) 0.840653 13.3618i 0.0299470 0.475994i
\(789\) 0.280613 0.442176i 0.00999010 0.0157419i
\(790\) 3.86755 + 25.9051i 0.137601 + 0.921661i
\(791\) −3.28387 + 52.1955i −0.116761 + 1.85586i
\(792\) −9.76177 51.1730i −0.346869 1.81835i
\(793\) −3.93944 + 12.1244i −0.139894 + 0.430549i
\(794\) 14.7544 + 13.8553i 0.523615 + 0.491707i
\(795\) 3.12177 3.47822i 0.110718 0.123360i
\(796\) 1.00571 5.27214i 0.0356466 0.186866i
\(797\) −9.02014 + 8.47048i −0.319510 + 0.300040i −0.827661 0.561228i \(-0.810329\pi\)
0.508151 + 0.861268i \(0.330329\pi\)
\(798\) 2.80389 1.11014i 0.0992568 0.0392985i
\(799\) 4.42415 13.6161i 0.156515 0.481704i
\(800\) −26.9560 2.17701i −0.953040 0.0769690i
\(801\) 0.734012 + 2.25906i 0.0259351 + 0.0798199i
\(802\) −18.8741 22.8149i −0.666467 0.805621i
\(803\) 17.8895 + 38.0172i 0.631308 + 1.34160i
\(804\) −1.28971 + 1.21112i −0.0454846 + 0.0427129i
\(805\) 31.2301 + 9.37461i 1.10072 + 0.330411i
\(806\) −14.4367 1.82378i −0.508510 0.0642398i
\(807\) −0.0834343 −0.00293702
\(808\) 25.2995 + 3.19607i 0.890032 + 0.112437i
\(809\) 22.0951 26.7084i 0.776822 0.939016i −0.222533 0.974925i \(-0.571433\pi\)
0.999355 + 0.0359088i \(0.0114326\pi\)
\(810\) 15.2934 + 6.77987i 0.537356 + 0.238220i
\(811\) −1.74281 27.7011i −0.0611982 0.972718i −0.902099 0.431529i \(-0.857974\pi\)
0.840901 0.541189i \(-0.182026\pi\)
\(812\) −11.2758 + 2.89513i −0.395702 + 0.101599i
\(813\) 3.38191 0.868326i 0.118609 0.0304535i
\(814\) 0.173063 + 2.75076i 0.00606585 + 0.0964139i
\(815\) −4.94562 8.53461i −0.173238 0.298954i
\(816\) −0.274166 + 0.331409i −0.00959772 + 0.0116016i
\(817\) 14.9274 + 1.88577i 0.522245 + 0.0659749i
\(818\) 18.7359 0.655086
\(819\) −19.6518 2.48260i −0.686690 0.0867491i
\(820\) 0.440254 + 19.5301i 0.0153743 + 0.682021i
\(821\) 5.04523 4.73778i 0.176080 0.165350i −0.591497 0.806308i \(-0.701463\pi\)
0.767576 + 0.640958i \(0.221463\pi\)
\(822\) 1.73521 + 3.68751i 0.0605224 + 0.128617i
\(823\) −14.8770 17.9832i −0.518581 0.626856i 0.444594 0.895732i \(-0.353348\pi\)
−0.963175 + 0.268876i \(0.913348\pi\)
\(824\) 10.1001 + 31.0848i 0.351852 + 1.08289i
\(825\) −6.86995 7.58110i −0.239181 0.263940i
\(826\) −4.01178 + 12.3470i −0.139588 + 0.429607i
\(827\) 31.0339 12.2872i 1.07915 0.427267i 0.239783 0.970826i \(-0.422924\pi\)
0.839371 + 0.543559i \(0.182924\pi\)
\(828\) 8.50828 7.98980i 0.295683 0.277665i
\(829\) −9.18343 + 48.1412i −0.318954 + 1.67201i 0.356256 + 0.934388i \(0.384053\pi\)
−0.675210 + 0.737626i \(0.735947\pi\)
\(830\) −18.8028 32.4477i −0.652653 1.12628i
\(831\) −1.22295 1.14843i −0.0424237 0.0398385i
\(832\) −3.09363 + 9.52120i −0.107252 + 0.330088i
\(833\) 5.10846 + 26.7795i 0.176998 + 0.927854i
\(834\) 0.0104850 0.166655i 0.000363067 0.00577079i
\(835\) −16.4066 16.7006i −0.567775 0.577947i
\(836\) 8.94409 14.0936i 0.309338 0.487438i
\(837\) −1.13937 + 18.1097i −0.0393822 + 0.625962i
\(838\) 4.14903 + 6.53782i 0.143326 + 0.225845i
\(839\) −12.0487 14.5644i −0.415969 0.502820i 0.520359 0.853948i \(-0.325798\pi\)
−0.936328 + 0.351128i \(0.885798\pi\)
\(840\) 2.38812 + 8.50092i 0.0823979 + 0.293310i
\(841\) −21.9285 + 5.63028i −0.756156 + 0.194148i
\(842\) 8.49047 18.0432i 0.292601 0.621809i
\(843\) −2.89016 8.89500i −0.0995424 0.306360i
\(844\) 9.96897 5.48049i 0.343146 0.188646i
\(845\) 22.4549 + 3.76115i 0.772474 + 0.129388i
\(846\) 13.5745 1.71485i 0.466699 0.0589579i
\(847\) −109.896 + 13.8831i −3.77607 + 0.477029i
\(848\) 1.55588 2.45168i 0.0534292 0.0841910i
\(849\) −8.84244 6.42441i −0.303472 0.220485i
\(850\) 1.87887 13.0106i 0.0644446 0.446261i
\(851\) −1.38326 + 1.00500i −0.0474176 + 0.0344509i
\(852\) 0.152415 + 2.42256i 0.00522164 + 0.0829956i
\(853\) 0.545066 + 0.299653i 0.0186627 + 0.0102599i 0.491058 0.871127i \(-0.336610\pi\)
−0.472395 + 0.881387i \(0.656610\pi\)
\(854\) 12.3088 + 26.1574i 0.421197 + 0.895089i
\(855\) 6.01019 + 14.2341i 0.205544 + 0.486796i
\(856\) −1.65698 8.68620i −0.0566344 0.296888i
\(857\) 19.0875 + 13.8679i 0.652017 + 0.473718i 0.863958 0.503565i \(-0.167978\pi\)
−0.211941 + 0.977282i \(0.567978\pi\)
\(858\) −2.80647 + 1.54287i −0.0958112 + 0.0526726i
\(859\) −21.8559 34.4395i −0.745715 1.17506i −0.979239 0.202708i \(-0.935026\pi\)
0.233524 0.972351i \(-0.424974\pi\)
\(860\) −3.60856 + 15.4963i −0.123051 + 0.528419i
\(861\) 9.71907 3.84805i 0.331225 0.131141i
\(862\) −3.93591 1.55834i −0.134058 0.0530772i
\(863\) 28.9630 35.0102i 0.985912 1.19176i 0.00447214 0.999990i \(-0.498576\pi\)
0.981439 0.191772i \(-0.0614235\pi\)
\(864\) 10.2250 + 2.62533i 0.347861 + 0.0893155i
\(865\) 5.57480 8.04844i 0.189549 0.273655i
\(866\) −18.2264 7.21635i −0.619359 0.245221i
\(867\) −2.18577 2.05257i −0.0742326 0.0697090i
\(868\) 34.7194 25.2251i 1.17845 0.856197i
\(869\) 33.0306 70.1935i 1.12048 2.38115i
\(870\) −0.471207 1.67734i −0.0159754 0.0568672i
\(871\) −6.94674 3.81900i −0.235381 0.129402i
\(872\) −1.11779 + 5.85968i −0.0378533 + 0.198434i
\(873\) −3.68422 0.945947i −0.124692 0.0320155i
\(874\) −7.96189 −0.269315
\(875\) −33.4235 31.0872i −1.12992 1.05094i
\(876\) −2.54916 −0.0861282
\(877\) −54.7385 14.0544i −1.84839 0.474585i −0.849769 0.527155i \(-0.823259\pi\)
−0.998617 + 0.0525704i \(0.983259\pi\)
\(878\) −5.59713 + 29.3412i −0.188894 + 0.990217i
\(879\) −1.71892 0.944984i −0.0579777 0.0318735i
\(880\) −4.98765 3.94023i −0.168134 0.132825i
\(881\) −6.45240 + 13.7120i −0.217387 + 0.461970i −0.983541 0.180687i \(-0.942168\pi\)
0.766154 + 0.642657i \(0.222168\pi\)
\(882\) −21.0782 + 15.3142i −0.709742 + 0.515657i
\(883\) 32.0380 + 30.0857i 1.07817 + 1.01246i 0.999879 + 0.0155336i \(0.00494471\pi\)
0.0782859 + 0.996931i \(0.475055\pi\)
\(884\) 4.97606 + 1.97016i 0.167363 + 0.0662637i
\(885\) 2.42025 + 0.726506i 0.0813557 + 0.0244212i
\(886\) −7.52842 1.93297i −0.252922 0.0649394i
\(887\) −17.9825 + 21.7371i −0.603792 + 0.729859i −0.980510 0.196469i \(-0.937053\pi\)
0.376718 + 0.926328i \(0.377053\pi\)
\(888\) −0.430505 0.170449i −0.0144468 0.00571989i
\(889\) 17.6659 6.99444i 0.592496 0.234586i
\(890\) 1.46705 + 0.885284i 0.0491757 + 0.0296748i
\(891\) −26.5491 41.8348i −0.889430 1.40152i
\(892\) 10.9354 6.01178i 0.366144 0.201289i
\(893\) 9.82052 + 7.13502i 0.328631 + 0.238764i
\(894\) 0.159179 + 0.834448i 0.00532376 + 0.0279081i
\(895\) 3.08501 13.2480i 0.103120 0.442831i
\(896\) −9.13833 19.4199i −0.305290 0.648775i
\(897\) −1.74099 0.957119i −0.0581301 0.0319573i
\(898\) 1.32936 + 21.1296i 0.0443614 + 0.705104i
\(899\) −18.9686 + 13.7815i −0.632637 + 0.459638i
\(900\) −15.6265 + 4.77235i −0.520884 + 0.159078i
\(901\) −14.3896 10.4546i −0.479386 0.348295i
\(902\) −23.8378 + 37.5624i −0.793713 + 1.25069i
\(903\) 8.44670 1.06707i 0.281089 0.0355097i
\(904\) 37.0970 4.68645i 1.23383 0.155869i
\(905\) −3.56613 + 1.77734i −0.118542 + 0.0590807i
\(906\) 1.47331 0.809961i 0.0489475 0.0269091i
\(907\) −10.9012 33.5504i −0.361967 1.11402i −0.951858 0.306538i \(-0.900829\pi\)
0.589891 0.807483i \(-0.299171\pi\)
\(908\) −4.85988 + 10.3278i −0.161281 + 0.342739i
\(909\) 24.4558 6.27919i 0.811149 0.208268i
\(910\) −11.8888 + 7.92625i −0.394110 + 0.262753i
\(911\) 13.5488 + 16.3777i 0.448892 + 0.542617i 0.945613 0.325293i \(-0.105463\pi\)
−0.496721 + 0.867910i \(0.665463\pi\)
\(912\) −0.195406 0.307911i −0.00647055 0.0101959i
\(913\) −6.97441 + 110.855i −0.230819 + 3.66877i
\(914\) 0.362531 0.571258i 0.0119915 0.0188955i
\(915\) 5.03608 2.50995i 0.166488 0.0829763i
\(916\) −1.64176 + 26.0950i −0.0542452 + 0.862203i
\(917\) 9.74035 + 51.0607i 0.321655 + 1.68617i
\(918\) −1.58570 + 4.88027i −0.0523358 + 0.161073i
\(919\) 10.3109 + 9.68262i 0.340127 + 0.319400i 0.835721 0.549154i \(-0.185050\pi\)
−0.495595 + 0.868554i \(0.665050\pi\)
\(920\) 2.39988 23.1889i 0.0791215 0.764516i
\(921\) −0.914735 + 4.79521i −0.0301415 + 0.158008i
\(922\) 6.29915 5.91530i 0.207451 0.194810i
\(923\) −10.1124 + 4.00377i −0.332852 + 0.131786i
\(924\) 2.91874 8.98296i 0.0960195 0.295518i
\(925\) 2.35873 0.406691i 0.0775547 0.0133719i
\(926\) −7.57730 23.3205i −0.249005 0.766360i
\(927\) 20.6284 + 24.9355i 0.677526 + 0.818989i
\(928\) 5.80789 + 12.3424i 0.190653 + 0.405159i
\(929\) −20.7835 + 19.5170i −0.681885 + 0.640332i −0.946003 0.324158i \(-0.894919\pi\)
0.264118 + 0.964490i \(0.414919\pi\)
\(930\) 3.89134 + 5.10972i 0.127602 + 0.167554i
\(931\) −22.9327 2.89707i −0.751588 0.0949477i
\(932\) −18.6229 −0.610015
\(933\) −2.94272 0.371752i −0.0963403 0.0121706i
\(934\) −8.11889 + 9.81405i −0.265658 + 0.321126i
\(935\) −26.0064 + 28.9758i −0.850500 + 0.947610i
\(936\) 0.889243 + 14.1341i 0.0290658 + 0.461988i
\(937\) 15.1276 3.88410i 0.494196 0.126888i 0.00663687 0.999978i \(-0.497887\pi\)
0.487559 + 0.873090i \(0.337887\pi\)
\(938\) −17.4116 + 4.47054i −0.568509 + 0.145968i
\(939\) 0.306617 + 4.87353i 0.0100061 + 0.159042i
\(940\) −8.57409 + 9.55308i −0.279656 + 0.311587i
\(941\) 23.0918 27.9132i 0.752771 0.909943i −0.245460 0.969407i \(-0.578939\pi\)
0.998230 + 0.0594634i \(0.0189390\pi\)
\(942\) −4.85362 0.613155i −0.158140 0.0199777i
\(943\) −27.5981 −0.898718
\(944\) 1.55757 + 0.196767i 0.0506946 + 0.00640422i
\(945\) 10.7954 + 14.1754i 0.351173 + 0.461125i
\(946\) −26.4138 + 24.8042i −0.858785 + 0.806453i
\(947\) 9.49865 + 20.1857i 0.308665 + 0.655946i 0.997627 0.0688516i \(-0.0219335\pi\)
−0.688962 + 0.724797i \(0.741933\pi\)
\(948\) 3.00015 + 3.62656i 0.0974403 + 0.117785i
\(949\) −3.52956 10.8629i −0.114575 0.352624i
\(950\) 9.99914 + 4.92393i 0.324415 + 0.159753i
\(951\) −2.85600 + 8.78986i −0.0926121 + 0.285031i
\(952\) 31.2442 12.3704i 1.01263 0.400928i
\(953\) −21.6218 + 20.3042i −0.700399 + 0.657718i −0.950580 0.310481i \(-0.899510\pi\)
0.250181 + 0.968199i \(0.419510\pi\)
\(954\) 3.18515 16.6971i 0.103123 0.540590i
\(955\) −2.84635 + 27.5030i −0.0921058 + 0.889977i
\(956\) −10.4544 9.81737i −0.338121 0.317517i
\(957\) −1.59462 + 4.90774i −0.0515468 + 0.158645i
\(958\) −1.54050 8.07560i −0.0497714 0.260911i
\(959\) 3.38152 53.7477i 0.109195 1.73560i
\(960\) 3.95481 1.97105i 0.127641 0.0636154i
\(961\) 29.7028 46.8041i 0.958154 1.50981i
\(962\) 0.0470466 0.747784i 0.00151684 0.0241095i
\(963\) −4.69150 7.39262i −0.151182 0.238224i
\(964\) −10.0562 12.1559i −0.323889 0.391515i
\(965\) 39.5042 26.3374i 1.27169 0.847832i
\(966\) −4.36370 + 1.12041i −0.140400 + 0.0360485i
\(967\) −4.23855 + 9.00738i −0.136303 + 0.289658i −0.961312 0.275461i \(-0.911170\pi\)
0.825010 + 0.565119i \(0.191170\pi\)
\(968\) 24.4731 + 75.3204i 0.786594 + 2.42089i
\(969\) −1.95753 + 1.07616i −0.0628849 + 0.0345713i
\(970\) −2.45577 + 1.22394i −0.0788499 + 0.0392983i
\(971\) 42.8776 5.41671i 1.37601 0.173830i 0.597704 0.801717i \(-0.296080\pi\)
0.778305 + 0.627886i \(0.216080\pi\)
\(972\) 9.55052 1.20651i 0.306333 0.0386989i
\(973\) −1.18236 + 1.86311i −0.0379048 + 0.0597285i
\(974\) −29.1113 21.1506i −0.932785 0.677708i
\(975\) 1.59455 + 2.27872i 0.0510665 + 0.0729773i
\(976\) 2.82825 2.05485i 0.0905302 0.0657740i
\(977\) 1.48365 + 23.5819i 0.0474660 + 0.754451i 0.947723 + 0.319093i \(0.103378\pi\)
−0.900257 + 0.435358i \(0.856622\pi\)
\(978\) 1.19432 + 0.656582i 0.0381901 + 0.0209952i
\(979\) −2.16082 4.59199i −0.0690603 0.146761i
\(980\) 5.54375 23.8066i 0.177088 0.760473i
\(981\) 1.10677 + 5.80190i 0.0353365 + 0.185240i
\(982\) −15.2743 11.0974i −0.487422 0.354133i
\(983\) 33.3175 18.3165i 1.06266 0.584205i 0.148236 0.988952i \(-0.452641\pi\)
0.914428 + 0.404748i \(0.132641\pi\)
\(984\) −4.00458 6.31020i −0.127661 0.201162i
\(985\) −22.6699 13.6800i −0.722323 0.435882i
\(986\) −6.16488 + 2.44085i −0.196330 + 0.0777325i
\(987\) 6.38641 + 2.52856i 0.203282 + 0.0804849i
\(988\) −2.89244 + 3.49636i −0.0920208 + 0.111234i
\(989\) −21.7719 5.59006i −0.692305 0.177754i
\(990\) −35.6384 10.6979i −1.13266 0.340001i
\(991\) 6.67915 + 2.64446i 0.212170 + 0.0840041i 0.471806 0.881703i \(-0.343602\pi\)
−0.259635 + 0.965707i \(0.583602\pi\)
\(992\) −36.6562 34.4225i −1.16384 1.09291i
\(993\) 2.22973 1.61999i 0.0707584 0.0514090i
\(994\) −10.5011 + 22.3160i −0.333075 + 0.707821i
\(995\) −8.32913 6.57999i −0.264051 0.208600i
\(996\) −5.90545 3.24655i −0.187121 0.102871i
\(997\) −7.82553 + 41.0229i −0.247837 + 1.29921i 0.612901 + 0.790160i \(0.290002\pi\)
−0.860738 + 0.509048i \(0.829998\pi\)
\(998\) −28.2809 7.26130i −0.895216 0.229853i
\(999\) −0.934325 −0.0295607
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 \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 125.2.g.a.6.5 220
5.2 odd 4 625.2.h.b.349.15 440
5.3 odd 4 625.2.h.b.349.8 440
5.4 even 2 625.2.g.a.276.7 220
125.21 even 25 inner 125.2.g.a.21.5 yes 220
125.53 odd 100 625.2.h.b.274.15 440
125.72 odd 100 625.2.h.b.274.8 440
125.104 even 50 625.2.g.a.351.7 220
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
125.2.g.a.6.5 220 1.1 even 1 trivial
125.2.g.a.21.5 yes 220 125.21 even 25 inner
625.2.g.a.276.7 220 5.4 even 2
625.2.g.a.351.7 220 125.104 even 50
625.2.h.b.274.8 440 125.72 odd 100
625.2.h.b.274.15 440 125.53 odd 100
625.2.h.b.349.8 440 5.3 odd 4
625.2.h.b.349.15 440 5.2 odd 4