Properties

Label 260.2.bj.c.3.15
Level $260$
Weight $2$
Character 260.3
Analytic conductor $2.076$
Analytic rank $0$
Dimension $144$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [260,2,Mod(3,260)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(260, base_ring=CyclotomicField(12))
 
chi = DirichletCharacter(H, H._module([6, 9, 4]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("260.3");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 260.bj (of order \(12\), degree \(4\), 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: \(2.07611045255\)
Analytic rank: \(0\)
Dimension: \(144\)
Relative dimension: \(36\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 3.15
Character \(\chi\) \(=\) 260.3
Dual form 260.2.bj.c.87.15

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.524261 - 1.31345i) q^{2} +(2.57196 + 0.689155i) q^{3} +(-1.45030 + 1.37718i) q^{4} +(0.222626 - 2.22496i) q^{5} +(-0.443209 - 3.73944i) q^{6} +(1.04514 - 0.280044i) q^{7} +(2.56919 + 1.18289i) q^{8} +(3.54197 + 2.04496i) q^{9} +O(q^{10})\) \(q+(-0.524261 - 1.31345i) q^{2} +(2.57196 + 0.689155i) q^{3} +(-1.45030 + 1.37718i) q^{4} +(0.222626 - 2.22496i) q^{5} +(-0.443209 - 3.73944i) q^{6} +(1.04514 - 0.280044i) q^{7} +(2.56919 + 1.18289i) q^{8} +(3.54197 + 2.04496i) q^{9} +(-3.03908 + 0.874051i) q^{10} +(0.213488 - 0.123257i) q^{11} +(-4.67921 + 2.54257i) q^{12} +(-3.26753 - 1.52422i) q^{13} +(-0.915750 - 1.22592i) q^{14} +(2.10593 - 5.56908i) q^{15} +(0.206743 - 3.99465i) q^{16} +(1.56013 + 5.82248i) q^{17} +(0.829032 - 5.72429i) q^{18} +(1.97509 - 3.42095i) q^{19} +(2.74130 + 3.53345i) q^{20} +2.88105 q^{21} +(-0.273815 - 0.215786i) q^{22} +(2.77015 + 0.742260i) q^{23} +(5.79267 + 4.81293i) q^{24} +(-4.90088 - 0.990668i) q^{25} +(-0.288951 + 5.09083i) q^{26} +(2.05210 + 2.05210i) q^{27} +(-1.13009 + 1.84549i) q^{28} +(-3.76557 + 2.17405i) q^{29} +(-8.41876 + 0.153624i) q^{30} +0.881426i q^{31} +(-5.35516 + 1.82270i) q^{32} +(0.634025 - 0.169886i) q^{33} +(6.82962 - 5.10165i) q^{34} +(-0.390411 - 2.38774i) q^{35} +(-7.95320 + 1.91213i) q^{36} +(-4.95144 - 1.32673i) q^{37} +(-5.52871 - 0.800705i) q^{38} +(-7.35353 - 6.17207i) q^{39} +(3.20386 - 5.45301i) q^{40} +(5.89948 + 10.2182i) q^{41} +(-1.51042 - 3.78411i) q^{42} +(-0.517607 - 1.93174i) q^{43} +(-0.139874 + 0.472771i) q^{44} +(5.33848 - 7.42548i) q^{45} +(-0.477362 - 4.02759i) q^{46} +(-6.04265 - 6.04265i) q^{47} +(3.28467 - 10.1316i) q^{48} +(-5.04829 + 2.91463i) q^{49} +(1.26815 + 6.95642i) q^{50} +16.0504i q^{51} +(6.83803 - 2.28940i) q^{52} +(-0.436944 - 0.436944i) q^{53} +(1.61949 - 3.77117i) q^{54} +(-0.226714 - 0.502441i) q^{55} +(3.01643 + 0.516801i) q^{56} +(7.43741 - 7.43741i) q^{57} +(4.82965 + 3.80612i) q^{58} +(-5.04198 + 8.73296i) q^{59} +(4.61541 + 10.9771i) q^{60} +(-2.71591 + 4.70409i) q^{61} +(1.15771 - 0.462098i) q^{62} +(4.27453 + 1.14536i) q^{63} +(5.20152 + 6.07817i) q^{64} +(-4.11877 + 6.93078i) q^{65} +(-0.555532 - 0.743695i) q^{66} +(-3.36894 + 12.5731i) q^{67} +(-10.2813 - 6.29577i) q^{68} +(6.61319 + 3.81813i) q^{69} +(-2.93149 + 1.76458i) q^{70} +(8.10650 + 4.68029i) q^{71} +(6.68105 + 9.44367i) q^{72} +(-3.41850 - 3.41850i) q^{73} +(0.853249 + 7.19902i) q^{74} +(-11.9221 - 5.92542i) q^{75} +(1.84680 + 7.68146i) q^{76} +(0.188607 - 0.188607i) q^{77} +(-4.25154 + 12.8943i) q^{78} +15.3665 q^{79} +(-8.84191 - 1.34931i) q^{80} +(-2.27117 - 3.93378i) q^{81} +(10.3282 - 13.1057i) q^{82} +(10.8773 - 10.8773i) q^{83} +(-4.17839 + 3.96773i) q^{84} +(13.3021 - 2.17499i) q^{85} +(-2.26588 + 1.69259i) q^{86} +(-11.1832 + 2.99652i) q^{87} +(0.694291 - 0.0641383i) q^{88} +(1.31983 - 0.762004i) q^{89} +(-12.5517 - 3.11894i) q^{90} +(-3.84187 - 0.677972i) q^{91} +(-5.03978 + 2.73850i) q^{92} +(-0.607439 + 2.26699i) q^{93} +(-4.76879 + 11.1046i) q^{94} +(-7.17176 - 5.15608i) q^{95} +(-15.0294 + 0.997365i) q^{96} +(-3.34576 - 12.4865i) q^{97} +(6.47484 + 5.10264i) q^{98} +1.00822 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144 q - 6 q^{2} - 24 q^{5} - 4 q^{6} - 24 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 144 q - 6 q^{2} - 24 q^{5} - 4 q^{6} - 24 q^{8} - 16 q^{10} + 20 q^{12} - 12 q^{13} - 28 q^{16} - 4 q^{18} + 30 q^{20} - 32 q^{21} - 28 q^{22} - 24 q^{25} - 12 q^{26} + 14 q^{28} - 4 q^{30} + 4 q^{32} - 28 q^{33} + 4 q^{36} + 20 q^{40} + 24 q^{41} - 56 q^{42} - 4 q^{46} + 12 q^{48} + 20 q^{50} - 2 q^{52} + 24 q^{53} - 20 q^{56} - 24 q^{57} - 42 q^{58} + 88 q^{60} - 32 q^{61} - 128 q^{66} - 32 q^{68} + 108 q^{70} + 2 q^{72} - 8 q^{73} + 60 q^{76} - 72 q^{77} - 120 q^{78} - 64 q^{80} - 32 q^{81} - 42 q^{82} - 48 q^{85} - 24 q^{86} - 42 q^{88} - 56 q^{90} - 84 q^{92} + 8 q^{93} + 160 q^{96} + 68 q^{97} + 98 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).

\(n\) \(41\) \(131\) \(157\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(-1\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.524261 1.31345i −0.370709 0.928749i
\(3\) 2.57196 + 0.689155i 1.48492 + 0.397884i 0.908019 0.418929i \(-0.137594\pi\)
0.576903 + 0.816813i \(0.304261\pi\)
\(4\) −1.45030 + 1.37718i −0.725150 + 0.688591i
\(5\) 0.222626 2.22496i 0.0995615 0.995031i
\(6\) −0.443209 3.73944i −0.180939 1.52662i
\(7\) 1.04514 0.280044i 0.395025 0.105847i −0.0558377 0.998440i \(-0.517783\pi\)
0.450863 + 0.892593i \(0.351116\pi\)
\(8\) 2.56919 + 1.18289i 0.908348 + 0.418216i
\(9\) 3.54197 + 2.04496i 1.18066 + 0.681653i
\(10\) −3.03908 + 0.874051i −0.961043 + 0.276399i
\(11\) 0.213488 0.123257i 0.0643689 0.0371634i −0.467470 0.884009i \(-0.654834\pi\)
0.531839 + 0.846845i \(0.321501\pi\)
\(12\) −4.67921 + 2.54257i −1.35077 + 0.733978i
\(13\) −3.26753 1.52422i −0.906249 0.422743i
\(14\) −0.915750 1.22592i −0.244744 0.327641i
\(15\) 2.10593 5.56908i 0.543748 1.43793i
\(16\) 0.206743 3.99465i 0.0516857 0.998663i
\(17\) 1.56013 + 5.82248i 0.378387 + 1.41216i 0.848332 + 0.529464i \(0.177607\pi\)
−0.469945 + 0.882696i \(0.655726\pi\)
\(18\) 0.829032 5.72429i 0.195405 1.34923i
\(19\) 1.97509 3.42095i 0.453116 0.784820i −0.545462 0.838136i \(-0.683646\pi\)
0.998578 + 0.0533160i \(0.0169790\pi\)
\(20\) 2.74130 + 3.53345i 0.612972 + 0.790104i
\(21\) 2.88105 0.628697
\(22\) −0.273815 0.215786i −0.0583776 0.0460058i
\(23\) 2.77015 + 0.742260i 0.577617 + 0.154772i 0.535788 0.844353i \(-0.320015\pi\)
0.0418292 + 0.999125i \(0.486681\pi\)
\(24\) 5.79267 + 4.81293i 1.18242 + 0.982435i
\(25\) −4.90088 0.990668i −0.980175 0.198134i
\(26\) −0.288951 + 5.09083i −0.0566680 + 0.998393i
\(27\) 2.05210 + 2.05210i 0.394927 + 0.394927i
\(28\) −1.13009 + 1.84549i −0.213568 + 0.348766i
\(29\) −3.76557 + 2.17405i −0.699249 + 0.403712i −0.807068 0.590459i \(-0.798947\pi\)
0.107818 + 0.994171i \(0.465613\pi\)
\(30\) −8.41876 + 0.153624i −1.53705 + 0.0280478i
\(31\) 0.881426i 0.158309i 0.996862 + 0.0791544i \(0.0252220\pi\)
−0.996862 + 0.0791544i \(0.974778\pi\)
\(32\) −5.35516 + 1.82270i −0.946668 + 0.322210i
\(33\) 0.634025 0.169886i 0.110370 0.0295734i
\(34\) 6.82962 5.10165i 1.17127 0.874927i
\(35\) −0.390411 2.38774i −0.0659915 0.403601i
\(36\) −7.95320 + 1.91213i −1.32553 + 0.318689i
\(37\) −4.95144 1.32673i −0.814012 0.218114i −0.172285 0.985047i \(-0.555115\pi\)
−0.641727 + 0.766933i \(0.721782\pi\)
\(38\) −5.52871 0.800705i −0.896875 0.129892i
\(39\) −7.35353 6.17207i −1.17751 0.988323i
\(40\) 3.20386 5.45301i 0.506575 0.862196i
\(41\) 5.89948 + 10.2182i 0.921343 + 1.59581i 0.797339 + 0.603532i \(0.206240\pi\)
0.124004 + 0.992282i \(0.460426\pi\)
\(42\) −1.51042 3.78411i −0.233063 0.583901i
\(43\) −0.517607 1.93174i −0.0789343 0.294587i 0.915162 0.403086i \(-0.132062\pi\)
−0.994097 + 0.108499i \(0.965396\pi\)
\(44\) −0.139874 + 0.472771i −0.0210867 + 0.0712729i
\(45\) 5.33848 7.42548i 0.795814 1.10692i
\(46\) −0.477362 4.02759i −0.0703832 0.593836i
\(47\) −6.04265 6.04265i −0.881410 0.881410i 0.112268 0.993678i \(-0.464189\pi\)
−0.993678 + 0.112268i \(0.964189\pi\)
\(48\) 3.28467 10.1316i 0.474101 1.46237i
\(49\) −5.04829 + 2.91463i −0.721184 + 0.416376i
\(50\) 1.26815 + 6.95642i 0.179343 + 0.983787i
\(51\) 16.0504i 2.24750i
\(52\) 6.83803 2.28940i 0.948264 0.317483i
\(53\) −0.436944 0.436944i −0.0600188 0.0600188i 0.676460 0.736479i \(-0.263513\pi\)
−0.736479 + 0.676460i \(0.763513\pi\)
\(54\) 1.61949 3.77117i 0.220385 0.513191i
\(55\) −0.226714 0.502441i −0.0305701 0.0677491i
\(56\) 3.01643 + 0.516801i 0.403087 + 0.0690604i
\(57\) 7.43741 7.43741i 0.985109 0.985109i
\(58\) 4.82965 + 3.80612i 0.634165 + 0.499768i
\(59\) −5.04198 + 8.73296i −0.656409 + 1.13693i 0.325129 + 0.945670i \(0.394592\pi\)
−0.981538 + 0.191265i \(0.938741\pi\)
\(60\) 4.61541 + 10.9771i 0.595847 + 1.41714i
\(61\) −2.71591 + 4.70409i −0.347737 + 0.602298i −0.985847 0.167647i \(-0.946383\pi\)
0.638110 + 0.769945i \(0.279716\pi\)
\(62\) 1.15771 0.462098i 0.147029 0.0586864i
\(63\) 4.27453 + 1.14536i 0.538540 + 0.144301i
\(64\) 5.20152 + 6.07817i 0.650190 + 0.759771i
\(65\) −4.11877 + 6.93078i −0.510870 + 0.859658i
\(66\) −0.555532 0.743695i −0.0683812 0.0915425i
\(67\) −3.36894 + 12.5731i −0.411582 + 1.53604i 0.380003 + 0.924985i \(0.375923\pi\)
−0.791585 + 0.611060i \(0.790744\pi\)
\(68\) −10.2813 6.29577i −1.24679 0.763474i
\(69\) 6.61319 + 3.81813i 0.796135 + 0.459649i
\(70\) −2.93149 + 1.76458i −0.350380 + 0.210908i
\(71\) 8.10650 + 4.68029i 0.962064 + 0.555448i 0.896808 0.442421i \(-0.145880\pi\)
0.0652564 + 0.997869i \(0.479213\pi\)
\(72\) 6.68105 + 9.44367i 0.787369 + 1.11295i
\(73\) −3.41850 3.41850i −0.400105 0.400105i 0.478165 0.878270i \(-0.341302\pi\)
−0.878270 + 0.478165i \(0.841302\pi\)
\(74\) 0.853249 + 7.19902i 0.0991882 + 0.836869i
\(75\) −11.9221 5.92542i −1.37665 0.684209i
\(76\) 1.84680 + 7.68146i 0.211842 + 0.881124i
\(77\) 0.188607 0.188607i 0.0214937 0.0214937i
\(78\) −4.25154 + 12.8943i −0.481392 + 1.45999i
\(79\) 15.3665 1.72887 0.864436 0.502744i \(-0.167676\pi\)
0.864436 + 0.502744i \(0.167676\pi\)
\(80\) −8.84191 1.34931i −0.988556 0.150857i
\(81\) −2.27117 3.93378i −0.252352 0.437086i
\(82\) 10.3282 13.1057i 1.14056 1.44728i
\(83\) 10.8773 10.8773i 1.19394 1.19394i 0.217983 0.975953i \(-0.430052\pi\)
0.975953 0.217983i \(-0.0699477\pi\)
\(84\) −4.17839 + 3.96773i −0.455899 + 0.432915i
\(85\) 13.3021 2.17499i 1.44282 0.235910i
\(86\) −2.26588 + 1.69259i −0.244336 + 0.182516i
\(87\) −11.1832 + 2.99652i −1.19896 + 0.321261i
\(88\) 0.694291 0.0641383i 0.0740117 0.00683717i
\(89\) 1.31983 0.762004i 0.139902 0.0807723i −0.428415 0.903582i \(-0.640928\pi\)
0.568317 + 0.822810i \(0.307595\pi\)
\(90\) −12.5517 3.11894i −1.32307 0.328765i
\(91\) −3.84187 0.677972i −0.402738 0.0710708i
\(92\) −5.03978 + 2.73850i −0.525433 + 0.285509i
\(93\) −0.607439 + 2.26699i −0.0629885 + 0.235076i
\(94\) −4.76879 + 11.1046i −0.491863 + 1.14536i
\(95\) −7.17176 5.15608i −0.735807 0.529002i
\(96\) −15.0294 + 0.997365i −1.53393 + 0.101793i
\(97\) −3.34576 12.4865i −0.339710 1.26782i −0.898672 0.438622i \(-0.855467\pi\)
0.558962 0.829194i \(-0.311200\pi\)
\(98\) 6.47484 + 5.10264i 0.654058 + 0.515445i
\(99\) 1.00822 0.101330
\(100\) 8.47207 5.31263i 0.847207 0.531263i
\(101\) −0.881360 1.52656i −0.0876986 0.151898i 0.818839 0.574023i \(-0.194618\pi\)
−0.906538 + 0.422124i \(0.861285\pi\)
\(102\) 21.0814 8.41459i 2.08737 0.833168i
\(103\) −6.34127 + 6.34127i −0.624824 + 0.624824i −0.946761 0.321937i \(-0.895666\pi\)
0.321937 + 0.946761i \(0.395666\pi\)
\(104\) −6.59192 7.78117i −0.646391 0.763006i
\(105\) 0.641397 6.41021i 0.0625940 0.625573i
\(106\) −0.344831 + 0.802976i −0.0334929 + 0.0779919i
\(107\) −3.05639 + 11.4066i −0.295472 + 1.10272i 0.645370 + 0.763870i \(0.276703\pi\)
−0.940842 + 0.338846i \(0.889963\pi\)
\(108\) −5.80228 0.150048i −0.558324 0.0144383i
\(109\) 14.9746i 1.43430i −0.696917 0.717152i \(-0.745445\pi\)
0.696917 0.717152i \(-0.254555\pi\)
\(110\) −0.541074 + 0.561188i −0.0515894 + 0.0535071i
\(111\) −11.8206 6.82462i −1.12196 0.647764i
\(112\) −0.902604 4.23286i −0.0852881 0.399968i
\(113\) −3.74999 + 1.00481i −0.352770 + 0.0945243i −0.430852 0.902423i \(-0.641787\pi\)
0.0780824 + 0.996947i \(0.475120\pi\)
\(114\) −13.6678 5.86952i −1.28011 0.549731i
\(115\) 2.26821 5.99823i 0.211511 0.559338i
\(116\) 2.46714 8.33891i 0.229069 0.774248i
\(117\) −8.45652 12.0807i −0.781806 1.11686i
\(118\) 14.1136 + 2.04403i 1.29926 + 0.188168i
\(119\) 3.26110 + 5.64840i 0.298945 + 0.517788i
\(120\) 11.9982 11.8170i 1.09528 1.07874i
\(121\) −5.46962 + 9.47365i −0.497238 + 0.861241i
\(122\) 7.60244 + 1.10104i 0.688292 + 0.0996832i
\(123\) 8.13130 + 30.3464i 0.733175 + 2.73625i
\(124\) −1.21388 1.27833i −0.109010 0.114798i
\(125\) −3.29526 + 10.6837i −0.294737 + 0.955578i
\(126\) −0.736602 6.21485i −0.0656217 0.553663i
\(127\) 5.08700 18.9849i 0.451398 1.68464i −0.247070 0.968998i \(-0.579468\pi\)
0.698467 0.715642i \(-0.253866\pi\)
\(128\) 5.25641 10.0185i 0.464606 0.885518i
\(129\) 5.32506i 0.468845i
\(130\) 11.2625 + 1.77626i 0.987791 + 0.155788i
\(131\) 16.0915i 1.40592i −0.711230 0.702959i \(-0.751862\pi\)
0.711230 0.702959i \(-0.248138\pi\)
\(132\) −0.685562 + 1.11955i −0.0596705 + 0.0974446i
\(133\) 1.10622 4.12848i 0.0959217 0.357985i
\(134\) 18.2803 2.16663i 1.57918 0.187169i
\(135\) 5.02269 4.10899i 0.432284 0.353645i
\(136\) −2.87910 + 16.8046i −0.246881 + 1.44098i
\(137\) −2.02383 7.55303i −0.172907 0.645299i −0.996899 0.0786963i \(-0.974924\pi\)
0.823991 0.566602i \(-0.191742\pi\)
\(138\) 1.54788 10.6878i 0.131764 0.909805i
\(139\) 4.89227 8.47366i 0.414957 0.718726i −0.580467 0.814284i \(-0.697130\pi\)
0.995424 + 0.0955574i \(0.0304634\pi\)
\(140\) 3.85456 + 2.92527i 0.325770 + 0.247230i
\(141\) −11.3771 19.7058i −0.958127 1.65952i
\(142\) 1.89740 13.1012i 0.159226 1.09943i
\(143\) −0.885448 + 0.0773436i −0.0740449 + 0.00646779i
\(144\) 8.90118 13.7262i 0.741765 1.14385i
\(145\) 3.99886 + 8.86224i 0.332088 + 0.735969i
\(146\) −2.69784 + 6.28221i −0.223275 + 0.519919i
\(147\) −14.9926 + 4.01726i −1.23657 + 0.331338i
\(148\) 9.00823 4.89487i 0.740472 0.402356i
\(149\) −1.96578 1.13494i −0.161043 0.0929783i 0.417312 0.908763i \(-0.362972\pi\)
−0.578356 + 0.815785i \(0.696305\pi\)
\(150\) −1.53243 + 18.7656i −0.125122 + 1.53220i
\(151\) 2.56094i 0.208406i 0.994556 + 0.104203i \(0.0332292\pi\)
−0.994556 + 0.104203i \(0.966771\pi\)
\(152\) 9.12100 6.45277i 0.739811 0.523389i
\(153\) −6.38080 + 23.8135i −0.515857 + 1.92520i
\(154\) −0.346605 0.148846i −0.0279302 0.0119944i
\(155\) 1.96114 + 0.196229i 0.157522 + 0.0157615i
\(156\) 19.1649 1.17578i 1.53442 0.0941381i
\(157\) −3.18007 + 3.18007i −0.253797 + 0.253797i −0.822526 0.568728i \(-0.807436\pi\)
0.568728 + 0.822526i \(0.307436\pi\)
\(158\) −8.05608 20.1832i −0.640907 1.60569i
\(159\) −0.822680 1.42492i −0.0652428 0.113004i
\(160\) 2.86322 + 12.3208i 0.226357 + 0.974044i
\(161\) 3.10306 0.244555
\(162\) −3.97613 + 5.04539i −0.312395 + 0.396403i
\(163\) −3.88939 14.5154i −0.304640 1.13693i −0.933255 0.359216i \(-0.883044\pi\)
0.628614 0.777717i \(-0.283622\pi\)
\(164\) −22.6283 6.69480i −1.76697 0.522776i
\(165\) −0.236840 1.44850i −0.0184379 0.112766i
\(166\) −19.9893 8.58422i −1.55147 0.666264i
\(167\) 0.0307750 0.114854i 0.00238144 0.00888765i −0.964725 0.263260i \(-0.915202\pi\)
0.967106 + 0.254372i \(0.0818689\pi\)
\(168\) 7.40198 + 3.40798i 0.571075 + 0.262931i
\(169\) 8.35349 + 9.96088i 0.642576 + 0.766222i
\(170\) −9.83051 16.3314i −0.753966 1.25256i
\(171\) 13.9914 8.07794i 1.06995 0.617735i
\(172\) 3.41104 + 2.08876i 0.260089 + 0.159266i
\(173\) 10.0759 2.69983i 0.766055 0.205264i 0.145427 0.989369i \(-0.453544\pi\)
0.620628 + 0.784105i \(0.286878\pi\)
\(174\) 9.79868 + 13.1176i 0.742836 + 0.994440i
\(175\) −5.39953 + 0.337075i −0.408166 + 0.0254805i
\(176\) −0.448232 0.878291i −0.0337868 0.0662037i
\(177\) −18.9861 + 18.9861i −1.42708 + 1.42708i
\(178\) −1.69279 1.33404i −0.126880 0.0999906i
\(179\) −1.33830 2.31800i −0.100029 0.173256i 0.811667 0.584120i \(-0.198560\pi\)
−0.911696 + 0.410864i \(0.865227\pi\)
\(180\) 2.48383 + 18.1212i 0.185133 + 1.35068i
\(181\) 11.9703 0.889748 0.444874 0.895593i \(-0.353248\pi\)
0.444874 + 0.895593i \(0.353248\pi\)
\(182\) 1.12366 + 5.40154i 0.0832913 + 0.400389i
\(183\) −10.2271 + 10.2271i −0.756006 + 0.756006i
\(184\) 6.23905 + 5.18381i 0.459949 + 0.382155i
\(185\) −4.05425 + 10.7214i −0.298074 + 0.788251i
\(186\) 3.29604 0.390656i 0.241677 0.0286443i
\(187\) 1.05073 + 1.05073i 0.0768370 + 0.0768370i
\(188\) 17.0855 + 0.441832i 1.24609 + 0.0322239i
\(189\) 2.71941 + 1.57005i 0.197808 + 0.114204i
\(190\) −3.01237 + 12.1229i −0.218540 + 0.879486i
\(191\) 11.1448 + 6.43445i 0.806410 + 0.465581i 0.845708 0.533647i \(-0.179179\pi\)
−0.0392979 + 0.999228i \(0.512512\pi\)
\(192\) 9.18931 + 19.2175i 0.663182 + 1.38690i
\(193\) 1.63219 6.09143i 0.117488 0.438471i −0.881973 0.471300i \(-0.843785\pi\)
0.999461 + 0.0328291i \(0.0104517\pi\)
\(194\) −14.6464 + 10.9407i −1.05155 + 0.785496i
\(195\) −15.3697 + 14.9872i −1.10065 + 1.07326i
\(196\) 3.30756 11.1795i 0.236254 0.798535i
\(197\) −22.6800 6.07709i −1.61588 0.432974i −0.666094 0.745868i \(-0.732035\pi\)
−0.949788 + 0.312893i \(0.898702\pi\)
\(198\) −0.528572 1.32425i −0.0375640 0.0941103i
\(199\) −3.33531 + 5.77693i −0.236434 + 0.409516i −0.959688 0.281066i \(-0.909312\pi\)
0.723254 + 0.690582i \(0.242645\pi\)
\(200\) −11.4194 8.34243i −0.807477 0.589899i
\(201\) −17.3296 + 30.0157i −1.22233 + 2.11715i
\(202\) −1.54300 + 1.95794i −0.108565 + 0.137760i
\(203\) −3.32672 + 3.32672i −0.233490 + 0.233490i
\(204\) −22.1043 23.2779i −1.54761 1.62978i
\(205\) 24.0484 10.8512i 1.67961 0.757884i
\(206\) 11.6534 + 5.00446i 0.811932 + 0.348677i
\(207\) 8.29391 + 8.29391i 0.576467 + 0.576467i
\(208\) −6.76428 + 12.7375i −0.469018 + 0.883188i
\(209\) 0.973773i 0.0673573i
\(210\) −8.75575 + 2.51818i −0.604204 + 0.173771i
\(211\) 20.8392 12.0315i 1.43463 0.828282i 0.437158 0.899385i \(-0.355985\pi\)
0.997469 + 0.0711027i \(0.0226518\pi\)
\(212\) 1.23545 + 0.0319489i 0.0848511 + 0.00219426i
\(213\) 17.6241 + 17.6241i 1.20759 + 1.20759i
\(214\) 16.5843 1.96562i 1.13368 0.134367i
\(215\) −4.41326 + 0.721599i −0.300982 + 0.0492126i
\(216\) 2.84483 + 7.69966i 0.193566 + 0.523896i
\(217\) 0.246838 + 0.921213i 0.0167565 + 0.0625360i
\(218\) −19.6683 + 7.85059i −1.33211 + 0.531709i
\(219\) −6.43636 11.1481i −0.434929 0.753319i
\(220\) 1.02076 + 0.416464i 0.0688193 + 0.0280780i
\(221\) 3.77699 21.4031i 0.254068 1.43973i
\(222\) −2.76672 + 19.1036i −0.185690 + 1.28215i
\(223\) −13.7472 3.68354i −0.920578 0.246668i −0.232746 0.972538i \(-0.574771\pi\)
−0.687832 + 0.725869i \(0.741438\pi\)
\(224\) −5.08645 + 3.40465i −0.339853 + 0.227483i
\(225\) −15.3329 13.5310i −1.02219 0.902067i
\(226\) 3.28574 + 4.39865i 0.218564 + 0.292594i
\(227\) 13.7474 3.68361i 0.912447 0.244490i 0.228093 0.973639i \(-0.426751\pi\)
0.684354 + 0.729150i \(0.260084\pi\)
\(228\) −0.543816 + 21.0291i −0.0360151 + 1.39269i
\(229\) 17.1010i 1.13006i −0.825069 0.565032i \(-0.808864\pi\)
0.825069 0.565032i \(-0.191136\pi\)
\(230\) −9.06750 + 0.165462i −0.597893 + 0.0109103i
\(231\) 0.615068 0.355110i 0.0404685 0.0233645i
\(232\) −12.2462 + 1.13130i −0.804000 + 0.0742732i
\(233\) 2.83901 + 2.83901i 0.185990 + 0.185990i 0.793960 0.607970i \(-0.208016\pi\)
−0.607970 + 0.793960i \(0.708016\pi\)
\(234\) −11.4340 + 17.4407i −0.747463 + 1.14013i
\(235\) −14.7899 + 12.0994i −0.964786 + 0.789277i
\(236\) −4.71449 19.6091i −0.306887 1.27645i
\(237\) 39.5221 + 10.5899i 2.56724 + 0.687890i
\(238\) 5.70922 7.24453i 0.370074 0.469593i
\(239\) 13.8117 0.893404 0.446702 0.894683i \(-0.352598\pi\)
0.446702 + 0.894683i \(0.352598\pi\)
\(240\) −21.8112 9.56381i −1.40790 0.617341i
\(241\) 2.39428 4.14702i 0.154229 0.267133i −0.778549 0.627584i \(-0.784044\pi\)
0.932778 + 0.360451i \(0.117377\pi\)
\(242\) 15.3107 + 2.21740i 0.984207 + 0.142540i
\(243\) −5.38373 20.0924i −0.345367 1.28893i
\(244\) −2.53951 10.5627i −0.162575 0.676204i
\(245\) 5.36105 + 11.8811i 0.342505 + 0.759056i
\(246\) 35.5956 26.5895i 2.26949 1.69529i
\(247\) −11.6679 + 8.16758i −0.742413 + 0.519691i
\(248\) −1.04263 + 2.26456i −0.0662073 + 0.143799i
\(249\) 35.4720 20.4798i 2.24795 1.29785i
\(250\) 15.7601 1.27289i 0.996754 0.0805046i
\(251\) 12.5299 + 7.23412i 0.790878 + 0.456614i 0.840272 0.542166i \(-0.182395\pi\)
−0.0493935 + 0.998779i \(0.515729\pi\)
\(252\) −7.77672 + 4.22569i −0.489887 + 0.266194i
\(253\) 0.682882 0.182978i 0.0429324 0.0115037i
\(254\) −27.6027 + 3.27155i −1.73194 + 0.205275i
\(255\) 35.7114 + 3.57323i 2.23633 + 0.223765i
\(256\) −15.9145 1.65173i −0.994657 0.103233i
\(257\) 10.2684 + 2.75142i 0.640528 + 0.171629i 0.564442 0.825472i \(-0.309091\pi\)
0.0760852 + 0.997101i \(0.475758\pi\)
\(258\) −6.99420 + 2.79172i −0.435440 + 0.173805i
\(259\) −5.54649 −0.344642
\(260\) −3.57149 15.7240i −0.221495 0.975162i
\(261\) −17.7834 −1.10076
\(262\) −21.1353 + 8.43614i −1.30575 + 0.521186i
\(263\) 4.91189 + 1.31614i 0.302880 + 0.0811565i 0.407058 0.913402i \(-0.366555\pi\)
−0.104178 + 0.994559i \(0.533221\pi\)
\(264\) 1.82989 + 0.313513i 0.112622 + 0.0192954i
\(265\) −1.06946 + 0.874906i −0.0656962 + 0.0537450i
\(266\) −6.00250 + 0.711433i −0.368037 + 0.0436208i
\(267\) 3.91969 1.05028i 0.239881 0.0642759i
\(268\) −12.4294 22.8744i −0.759247 1.39727i
\(269\) −1.93942 1.11972i −0.118248 0.0682708i 0.439709 0.898140i \(-0.355082\pi\)
−0.557958 + 0.829869i \(0.688415\pi\)
\(270\) −8.03015 4.44287i −0.488699 0.270384i
\(271\) −16.8254 + 9.71415i −1.02207 + 0.590093i −0.914703 0.404127i \(-0.867575\pi\)
−0.107367 + 0.994219i \(0.534242\pi\)
\(272\) 23.5814 5.02842i 1.42983 0.304893i
\(273\) −9.41391 4.39136i −0.569756 0.265777i
\(274\) −8.85951 + 6.61795i −0.535222 + 0.399805i
\(275\) −1.16838 + 0.392572i −0.0704561 + 0.0236730i
\(276\) −14.8494 + 3.57013i −0.893827 + 0.214897i
\(277\) 1.20804 + 4.50847i 0.0725841 + 0.270888i 0.992675 0.120818i \(-0.0385518\pi\)
−0.920091 + 0.391706i \(0.871885\pi\)
\(278\) −13.6945 1.98334i −0.821345 0.118953i
\(279\) −1.80248 + 3.12199i −0.107912 + 0.186908i
\(280\) 1.82140 6.59637i 0.108849 0.394209i
\(281\) 29.7080 1.77223 0.886115 0.463465i \(-0.153394\pi\)
0.886115 + 0.463465i \(0.153394\pi\)
\(282\) −19.9179 + 25.2743i −1.18610 + 1.50506i
\(283\) 3.67462 + 0.984611i 0.218433 + 0.0585290i 0.366376 0.930467i \(-0.380598\pi\)
−0.147943 + 0.988996i \(0.547265\pi\)
\(284\) −18.2025 + 4.37629i −1.08012 + 0.259685i
\(285\) −14.8922 18.2037i −0.882135 1.07829i
\(286\) 0.565793 + 1.12244i 0.0334560 + 0.0663714i
\(287\) 9.02732 + 9.02732i 0.532866 + 0.532866i
\(288\) −22.6952 4.49515i −1.33733 0.264879i
\(289\) −16.7449 + 9.66766i −0.984993 + 0.568686i
\(290\) 9.54366 9.89844i 0.560423 0.581256i
\(291\) 34.4206i 2.01777i
\(292\) 9.66573 + 0.249957i 0.565644 + 0.0146276i
\(293\) −7.08757 + 1.89911i −0.414060 + 0.110947i −0.459834 0.888005i \(-0.652091\pi\)
0.0457741 + 0.998952i \(0.485425\pi\)
\(294\) 13.1365 + 17.5860i 0.766138 + 1.02563i
\(295\) 18.3080 + 13.1624i 1.06593 + 0.766343i
\(296\) −11.1518 9.26567i −0.648187 0.538556i
\(297\) 0.691034 + 0.185162i 0.0400978 + 0.0107442i
\(298\) −0.460110 + 3.17696i −0.0266534 + 0.184037i
\(299\) −7.92018 6.64769i −0.458036 0.384446i
\(300\) 25.4511 7.82530i 1.46942 0.451794i
\(301\) −1.08194 1.87398i −0.0623621 0.108014i
\(302\) 3.36366 1.34260i 0.193557 0.0772579i
\(303\) −1.21479 4.53365i −0.0697877 0.260451i
\(304\) −13.2572 8.59704i −0.760351 0.493074i
\(305\) 9.86178 + 7.09004i 0.564684 + 0.405975i
\(306\) 34.6230 4.10362i 1.97927 0.234588i
\(307\) −1.96372 1.96372i −0.112075 0.112075i 0.648845 0.760920i \(-0.275252\pi\)
−0.760920 + 0.648845i \(0.775252\pi\)
\(308\) −0.0137907 + 0.533282i −0.000785800 + 0.0303866i
\(309\) −20.6796 + 11.9394i −1.17642 + 0.679208i
\(310\) −0.770411 2.67873i −0.0437564 0.152142i
\(311\) 15.7915i 0.895454i 0.894170 + 0.447727i \(0.147766\pi\)
−0.894170 + 0.447727i \(0.852234\pi\)
\(312\) −11.5917 24.5557i −0.656253 1.39019i
\(313\) −6.08868 6.08868i −0.344152 0.344152i 0.513774 0.857926i \(-0.328247\pi\)
−0.857926 + 0.513774i \(0.828247\pi\)
\(314\) 5.84405 + 2.50968i 0.329799 + 0.141629i
\(315\) 3.49999 9.25566i 0.197202 0.521498i
\(316\) −22.2861 + 21.1625i −1.25369 + 1.19048i
\(317\) −3.80330 + 3.80330i −0.213615 + 0.213615i −0.805801 0.592186i \(-0.798265\pi\)
0.592186 + 0.805801i \(0.298265\pi\)
\(318\) −1.44027 + 1.82758i −0.0807661 + 0.102486i
\(319\) −0.535935 + 0.928267i −0.0300066 + 0.0519730i
\(320\) 14.6817 10.2200i 0.820730 0.571316i
\(321\) −15.7218 + 27.2310i −0.877506 + 1.51989i
\(322\) −1.62681 4.07571i −0.0906588 0.227131i
\(323\) 22.9998 + 6.16278i 1.27974 + 0.342906i
\(324\) 8.71140 + 2.57735i 0.483967 + 0.143186i
\(325\) 14.5038 + 10.7071i 0.804523 + 0.593921i
\(326\) −17.0262 + 12.7184i −0.942993 + 0.704405i
\(327\) 10.3198 38.5140i 0.570686 2.12983i
\(328\) 3.06987 + 33.2310i 0.169505 + 1.83487i
\(329\) −8.00761 4.62320i −0.441474 0.254885i
\(330\) −1.77837 + 1.07047i −0.0978958 + 0.0589274i
\(331\) 0.624401 + 0.360498i 0.0343202 + 0.0198148i 0.517062 0.855948i \(-0.327026\pi\)
−0.482742 + 0.875763i \(0.660359\pi\)
\(332\) −0.795335 + 30.7553i −0.0436497 + 1.68792i
\(333\) −14.8247 14.8247i −0.812391 0.812391i
\(334\) −0.166989 + 0.0197920i −0.00913722 + 0.00108297i
\(335\) 27.2245 + 10.2949i 1.48744 + 0.562468i
\(336\) 0.595636 11.5088i 0.0324946 0.627856i
\(337\) −12.8296 + 12.8296i −0.698875 + 0.698875i −0.964168 0.265293i \(-0.914531\pi\)
0.265293 + 0.964168i \(0.414531\pi\)
\(338\) 8.70371 16.1940i 0.473419 0.880837i
\(339\) −10.3373 −0.561445
\(340\) −16.2967 + 21.4738i −0.883813 + 1.16458i
\(341\) 0.108642 + 0.188173i 0.00588329 + 0.0101902i
\(342\) −17.9451 14.1420i −0.970360 0.764714i
\(343\) −9.81560 + 9.81560i −0.529993 + 0.529993i
\(344\) 0.955205 5.57528i 0.0515012 0.300599i
\(345\) 9.96744 13.8641i 0.536629 0.746416i
\(346\) −8.82848 11.8188i −0.474622 0.635380i
\(347\) −2.15716 + 0.578010i −0.115803 + 0.0310292i −0.316255 0.948674i \(-0.602425\pi\)
0.200452 + 0.979703i \(0.435759\pi\)
\(348\) 12.0922 19.7471i 0.648210 1.05856i
\(349\) −3.23455 + 1.86747i −0.173141 + 0.0999633i −0.584066 0.811706i \(-0.698539\pi\)
0.410925 + 0.911669i \(0.365206\pi\)
\(350\) 3.27349 + 6.91529i 0.174976 + 0.369638i
\(351\) −3.57744 9.83316i −0.190950 0.524855i
\(352\) −0.918600 + 1.04918i −0.0489616 + 0.0559217i
\(353\) −3.44523 + 12.8578i −0.183371 + 0.684350i 0.811602 + 0.584210i \(0.198596\pi\)
−0.994973 + 0.100140i \(0.968071\pi\)
\(354\) 34.8910 + 14.9836i 1.85444 + 0.796371i
\(355\) 12.2182 16.9947i 0.648473 0.901983i
\(356\) −0.864732 + 2.92278i −0.0458307 + 0.154907i
\(357\) 4.49481 + 16.7749i 0.237891 + 0.887820i
\(358\) −2.34296 + 2.97303i −0.123829 + 0.157129i
\(359\) −19.6095 −1.03495 −0.517474 0.855699i \(-0.673128\pi\)
−0.517474 + 0.855699i \(0.673128\pi\)
\(360\) 22.4991 12.7626i 1.18581 0.672650i
\(361\) 1.69807 + 2.94114i 0.0893720 + 0.154797i
\(362\) −6.27558 15.7224i −0.329837 0.826353i
\(363\) −20.5964 + 20.5964i −1.08103 + 1.08103i
\(364\) 6.50556 4.30769i 0.340984 0.225784i
\(365\) −8.36706 + 6.84496i −0.437952 + 0.358282i
\(366\) 18.7944 + 8.07108i 0.982398 + 0.421882i
\(367\) −3.02321 + 11.2828i −0.157810 + 0.588956i 0.841038 + 0.540976i \(0.181945\pi\)
−0.998848 + 0.0479800i \(0.984722\pi\)
\(368\) 3.53778 10.9123i 0.184420 0.568845i
\(369\) 48.2567i 2.51214i
\(370\) 16.2075 0.295751i 0.842587 0.0153754i
\(371\) −0.579030 0.334303i −0.0300618 0.0173562i
\(372\) −2.24109 4.12438i −0.116195 0.213839i
\(373\) −5.70345 + 1.52823i −0.295313 + 0.0791290i −0.403434 0.915009i \(-0.632183\pi\)
0.108120 + 0.994138i \(0.465517\pi\)
\(374\) 0.829224 1.93094i 0.0428782 0.0998465i
\(375\) −15.8380 + 25.2071i −0.817870 + 1.30169i
\(376\) −8.37692 22.6725i −0.432007 1.16925i
\(377\) 15.6179 1.36421i 0.804361 0.0702606i
\(378\) 0.636503 4.39492i 0.0327382 0.226050i
\(379\) −1.42303 2.46476i −0.0730961 0.126606i 0.827161 0.561966i \(-0.189955\pi\)
−0.900257 + 0.435359i \(0.856621\pi\)
\(380\) 17.5021 2.39896i 0.897837 0.123064i
\(381\) 26.1671 45.3228i 1.34058 2.32196i
\(382\) 2.60855 18.0115i 0.133465 0.921547i
\(383\) −3.44249 12.8475i −0.175903 0.656479i −0.996396 0.0848224i \(-0.972968\pi\)
0.820493 0.571656i \(-0.193699\pi\)
\(384\) 20.4236 22.1447i 1.04224 1.13007i
\(385\) −0.377653 0.461631i −0.0192470 0.0235269i
\(386\) −8.85648 + 1.04970i −0.450783 + 0.0534281i
\(387\) 2.11697 7.90064i 0.107612 0.401612i
\(388\) 22.0486 + 13.5015i 1.11935 + 0.685435i
\(389\) 23.0402i 1.16819i 0.811687 + 0.584093i \(0.198550\pi\)
−0.811687 + 0.584093i \(0.801450\pi\)
\(390\) 27.7427 + 12.3301i 1.40481 + 0.624359i
\(391\) 17.2872i 0.874251i
\(392\) −16.4177 + 1.51666i −0.829221 + 0.0766031i
\(393\) 11.0895 41.3866i 0.559392 2.08768i
\(394\) 3.90829 + 32.9750i 0.196897 + 1.66126i
\(395\) 3.42100 34.1899i 0.172129 1.72028i
\(396\) −1.46223 + 1.38850i −0.0734796 + 0.0697750i
\(397\) −5.42981 20.2643i −0.272514 1.01704i −0.957489 0.288470i \(-0.906853\pi\)
0.684975 0.728567i \(-0.259813\pi\)
\(398\) 9.33628 + 1.35214i 0.467986 + 0.0677769i
\(399\) 5.69032 9.85593i 0.284872 0.493413i
\(400\) −4.97060 + 19.3725i −0.248530 + 0.968624i
\(401\) −0.508026 0.879926i −0.0253696 0.0439414i 0.853062 0.521810i \(-0.174743\pi\)
−0.878431 + 0.477868i \(0.841410\pi\)
\(402\) 48.5094 + 7.02546i 2.41943 + 0.350398i
\(403\) 1.34349 2.88009i 0.0669240 0.143467i
\(404\) 3.38059 + 1.00018i 0.168190 + 0.0497607i
\(405\) −9.25811 + 4.17749i −0.460039 + 0.207581i
\(406\) 6.11354 + 2.62541i 0.303410 + 0.130297i
\(407\) −1.22060 + 0.327059i −0.0605029 + 0.0162117i
\(408\) −18.9859 + 41.2365i −0.939941 + 2.04151i
\(409\) 3.16428 + 1.82690i 0.156464 + 0.0903342i 0.576188 0.817318i \(-0.304540\pi\)
−0.419724 + 0.907652i \(0.637873\pi\)
\(410\) −26.8602 25.8975i −1.32653 1.27899i
\(411\) 20.8208i 1.02702i
\(412\) 0.463667 17.9298i 0.0228433 0.883339i
\(413\) −2.82395 + 10.5391i −0.138958 + 0.518597i
\(414\) 6.54546 15.2418i 0.321692 0.749094i
\(415\) −21.7799 26.6230i −1.06913 1.30687i
\(416\) 20.2763 + 2.20675i 0.994130 + 0.108195i
\(417\) 18.4224 18.4224i 0.902148 0.902148i
\(418\) −1.27900 + 0.510512i −0.0625581 + 0.0249699i
\(419\) −2.97074 5.14548i −0.145130 0.251373i 0.784291 0.620393i \(-0.213027\pi\)
−0.929422 + 0.369020i \(0.879693\pi\)
\(420\) 7.89781 + 10.1801i 0.385374 + 0.496736i
\(421\) −3.28916 −0.160304 −0.0801518 0.996783i \(-0.525541\pi\)
−0.0801518 + 0.996783i \(0.525541\pi\)
\(422\) −26.7279 21.0635i −1.30109 1.02536i
\(423\) −9.04592 33.7598i −0.439828 1.64146i
\(424\) −0.605735 1.63945i −0.0294171 0.0796188i
\(425\) −1.87785 30.0808i −0.0910892 1.45913i
\(426\) 13.9088 32.3881i 0.673882 1.56921i
\(427\) −1.52115 + 5.67701i −0.0736136 + 0.274730i
\(428\) −11.2763 20.7522i −0.545059 1.00309i
\(429\) −2.33064 0.411286i −0.112524 0.0198571i
\(430\) 3.26149 + 5.41829i 0.157283 + 0.261293i
\(431\) 2.37318 1.37016i 0.114312 0.0659981i −0.441754 0.897136i \(-0.645644\pi\)
0.556066 + 0.831138i \(0.312310\pi\)
\(432\) 8.62169 7.77317i 0.414811 0.373987i
\(433\) 4.10546 1.10006i 0.197296 0.0528653i −0.158818 0.987308i \(-0.550768\pi\)
0.356114 + 0.934443i \(0.384102\pi\)
\(434\) 1.08056 0.807166i 0.0518685 0.0387452i
\(435\) 4.17746 + 25.5492i 0.200294 + 1.22499i
\(436\) 20.6227 + 21.7176i 0.987648 + 1.04009i
\(437\) 8.01053 8.01053i 0.383195 0.383195i
\(438\) −11.2681 + 14.2984i −0.538413 + 0.683202i
\(439\) 13.1814 + 22.8308i 0.629113 + 1.08966i 0.987730 + 0.156171i \(0.0499152\pi\)
−0.358617 + 0.933485i \(0.616751\pi\)
\(440\) 0.0118623 1.55905i 0.000565514 0.0743247i
\(441\) −23.8412 −1.13529
\(442\) −30.0921 + 6.25994i −1.43133 + 0.297755i
\(443\) 26.9223 26.9223i 1.27911 1.27911i 0.337951 0.941164i \(-0.390266\pi\)
0.941164 0.337951i \(-0.109734\pi\)
\(444\) 26.5421 6.38134i 1.25963 0.302845i
\(445\) −1.40160 3.10621i −0.0664421 0.147248i
\(446\) 2.36896 + 19.9873i 0.112173 + 0.946428i
\(447\) −4.27376 4.27376i −0.202142 0.202142i
\(448\) 7.13847 + 4.89588i 0.337261 + 0.231308i
\(449\) −5.28544 3.05155i −0.249435 0.144012i 0.370070 0.929004i \(-0.379334\pi\)
−0.619506 + 0.784992i \(0.712667\pi\)
\(450\) −9.73386 + 27.2328i −0.458858 + 1.28376i
\(451\) 2.51893 + 1.45430i 0.118612 + 0.0684805i
\(452\) 4.05481 6.62169i 0.190722 0.311458i
\(453\) −1.76488 + 6.58663i −0.0829214 + 0.309467i
\(454\) −12.0455 16.1254i −0.565322 0.756801i
\(455\) −2.36376 + 8.39707i −0.110815 + 0.393661i
\(456\) 27.9058 10.3105i 1.30681 0.482833i
\(457\) −5.64498 1.51257i −0.264061 0.0707549i 0.124359 0.992237i \(-0.460312\pi\)
−0.388420 + 0.921482i \(0.626979\pi\)
\(458\) −22.4613 + 8.96537i −1.04955 + 0.418924i
\(459\) −8.74678 + 15.1499i −0.408265 + 0.707135i
\(460\) 4.97107 + 11.8230i 0.231777 + 0.551248i
\(461\) −0.671324 + 1.16277i −0.0312667 + 0.0541555i −0.881235 0.472678i \(-0.843287\pi\)
0.849969 + 0.526833i \(0.176621\pi\)
\(462\) −0.788875 0.621691i −0.0367018 0.0289237i
\(463\) −24.2564 + 24.2564i −1.12729 + 1.12729i −0.136674 + 0.990616i \(0.543641\pi\)
−0.990616 + 0.136674i \(0.956359\pi\)
\(464\) 7.90609 + 15.4916i 0.367031 + 0.719181i
\(465\) 4.90873 + 1.85622i 0.227637 + 0.0860801i
\(466\) 2.24052 5.21729i 0.103790 0.241686i
\(467\) 15.6597 + 15.6597i 0.724645 + 0.724645i 0.969548 0.244903i \(-0.0787560\pi\)
−0.244903 + 0.969548i \(0.578756\pi\)
\(468\) 28.9018 + 5.87450i 1.33599 + 0.271549i
\(469\) 14.0841i 0.650341i
\(470\) 23.6457 + 13.0825i 1.09069 + 0.603452i
\(471\) −10.3706 + 5.98746i −0.477851 + 0.275887i
\(472\) −23.2840 + 16.4726i −1.07173 + 0.758211i
\(473\) −0.348603 0.348603i −0.0160288 0.0160288i
\(474\) −6.81059 57.4622i −0.312821 2.63933i
\(475\) −13.0687 + 14.8090i −0.599632 + 0.679483i
\(476\) −12.5085 3.70074i −0.573324 0.169623i
\(477\) −0.654110 2.44117i −0.0299497 0.111774i
\(478\) −7.24093 18.1410i −0.331193 0.829748i
\(479\) −3.94739 6.83708i −0.180361 0.312394i 0.761643 0.647997i \(-0.224393\pi\)
−0.942003 + 0.335603i \(0.891060\pi\)
\(480\) −1.12684 + 33.6618i −0.0514331 + 1.53644i
\(481\) 14.1567 + 11.8822i 0.645492 + 0.541783i
\(482\) −6.70213 0.970649i −0.305274 0.0442118i
\(483\) 7.98095 + 2.13849i 0.363146 + 0.0973046i
\(484\) −5.11435 21.2723i −0.232471 0.966922i
\(485\) −28.5269 + 4.66434i −1.29534 + 0.211797i
\(486\) −23.5678 + 17.6049i −1.06906 + 0.798575i
\(487\) −10.3753 + 2.78006i −0.470150 + 0.125976i −0.486113 0.873896i \(-0.661586\pi\)
0.0159622 + 0.999873i \(0.494919\pi\)
\(488\) −12.5421 + 8.87310i −0.567756 + 0.401666i
\(489\) 40.0134i 1.80947i
\(490\) 12.7946 13.2703i 0.578003 0.599490i
\(491\) −34.4505 + 19.8900i −1.55473 + 0.897622i −0.556981 + 0.830525i \(0.688040\pi\)
−0.997746 + 0.0670971i \(0.978626\pi\)
\(492\) −53.5854 32.8132i −2.41582 1.47933i
\(493\) −18.5332 18.5332i −0.834692 0.834692i
\(494\) 16.8448 + 11.0433i 0.757881 + 0.496862i
\(495\) 0.224457 2.24325i 0.0100886 0.100827i
\(496\) 3.52099 + 0.182228i 0.158097 + 0.00818230i
\(497\) 9.78310 + 2.62137i 0.438832 + 0.117585i
\(498\) −45.4958 35.8540i −2.03871 1.60666i
\(499\) −5.97756 −0.267592 −0.133796 0.991009i \(-0.542717\pi\)
−0.133796 + 0.991009i \(0.542717\pi\)
\(500\) −9.93427 20.0327i −0.444274 0.895891i
\(501\) 0.158304 0.274191i 0.00707250 0.0122499i
\(502\) 2.93273 20.2499i 0.130894 0.903798i
\(503\) 0.907952 + 3.38852i 0.0404836 + 0.151087i 0.983209 0.182483i \(-0.0584134\pi\)
−0.942725 + 0.333570i \(0.891747\pi\)
\(504\) 9.62726 + 7.99896i 0.428832 + 0.356302i
\(505\) −3.59275 + 1.62114i −0.159875 + 0.0721396i
\(506\) −0.598340 0.801003i −0.0265995 0.0356089i
\(507\) 14.6203 + 31.3758i 0.649309 + 1.39345i
\(508\) 18.7680 + 34.5396i 0.832696 + 1.53245i
\(509\) −9.19146 + 5.30669i −0.407404 + 0.235215i −0.689674 0.724120i \(-0.742246\pi\)
0.282269 + 0.959335i \(0.408913\pi\)
\(510\) −14.0288 48.7784i −0.621207 2.15995i
\(511\) −4.53013 2.61547i −0.200401 0.115702i
\(512\) 6.17390 + 21.7689i 0.272850 + 0.962057i
\(513\) 11.0732 2.96706i 0.488894 0.130999i
\(514\) −1.76949 14.9295i −0.0780489 0.658514i
\(515\) 12.6973 + 15.5208i 0.559511 + 0.683928i
\(516\) 7.33357 + 7.72294i 0.322843 + 0.339983i
\(517\) −2.03483 0.545231i −0.0894916 0.0239792i
\(518\) 2.90781 + 7.28503i 0.127762 + 0.320086i
\(519\) 27.7754 1.21920
\(520\) −18.7803 + 12.9345i −0.823571 + 0.567214i
\(521\) −17.3003 −0.757939 −0.378970 0.925409i \(-0.623722\pi\)
−0.378970 + 0.925409i \(0.623722\pi\)
\(522\) 9.32315 + 23.3576i 0.408063 + 1.02233i
\(523\) 0.0828373 + 0.0221962i 0.00362222 + 0.000970571i 0.260630 0.965439i \(-0.416070\pi\)
−0.257007 + 0.966409i \(0.582737\pi\)
\(524\) 22.1609 + 23.3375i 0.968103 + 1.01950i
\(525\) −14.1197 2.85416i −0.616233 0.124566i
\(526\) −0.846434 7.14152i −0.0369063 0.311385i
\(527\) −5.13209 + 1.37514i −0.223557 + 0.0599020i
\(528\) −0.547557 2.56783i −0.0238294 0.111751i
\(529\) −12.7958 7.38765i −0.556339 0.321202i
\(530\) 1.70982 + 0.945998i 0.0742698 + 0.0410915i
\(531\) −35.7171 + 20.6213i −1.54999 + 0.894887i
\(532\) 4.08131 + 7.51100i 0.176947 + 0.325643i
\(533\) −3.70191 42.3804i −0.160347 1.83570i
\(534\) −3.43443 4.59769i −0.148622 0.198962i
\(535\) 24.6988 + 9.33974i 1.06782 + 0.403792i
\(536\) −23.5281 + 28.3176i −1.01626 + 1.22313i
\(537\) −1.84459 6.88411i −0.0796000 0.297071i
\(538\) −0.453939 + 3.13436i −0.0195707 + 0.135132i
\(539\) −0.718498 + 1.24447i −0.0309479 + 0.0536033i
\(540\) −1.62559 + 12.8764i −0.0699542 + 0.554113i
\(541\) 36.6278 1.57475 0.787376 0.616473i \(-0.211439\pi\)
0.787376 + 0.616473i \(0.211439\pi\)
\(542\) 21.5800 + 17.0066i 0.926938 + 0.730495i
\(543\) 30.7872 + 8.24942i 1.32121 + 0.354016i
\(544\) −18.9674 28.3367i −0.813219 1.21493i
\(545\) −33.3178 3.33373i −1.42718 0.142801i
\(546\) −0.832483 + 14.6669i −0.0356270 + 0.627686i
\(547\) −1.18524 1.18524i −0.0506772 0.0506772i 0.681314 0.731991i \(-0.261409\pi\)
−0.731991 + 0.681314i \(0.761409\pi\)
\(548\) 13.3370 + 8.16698i 0.569730 + 0.348876i
\(549\) −19.2394 + 11.1078i −0.821116 + 0.474071i
\(550\) 1.12816 + 1.32880i 0.0481050 + 0.0566603i
\(551\) 17.1758i 0.731713i
\(552\) 12.4741 + 17.6322i 0.530935 + 0.750477i
\(553\) 16.0602 4.30331i 0.682948 0.182995i
\(554\) 5.28832 3.95032i 0.224679 0.167833i
\(555\) −17.8161 + 24.7810i −0.756250 + 1.05189i
\(556\) 4.57450 + 19.0269i 0.194002 + 0.806920i
\(557\) 39.0961 + 10.4758i 1.65655 + 0.443872i 0.961437 0.275025i \(-0.0886862\pi\)
0.695116 + 0.718897i \(0.255353\pi\)
\(558\) 5.04554 + 0.730730i 0.213595 + 0.0309343i
\(559\) −1.25310 + 7.10095i −0.0530005 + 0.300338i
\(560\) −9.61889 + 1.06591i −0.406472 + 0.0450429i
\(561\) 1.97832 + 3.42655i 0.0835248 + 0.144669i
\(562\) −15.5747 39.0200i −0.656981 1.64596i
\(563\) −6.67743 24.9205i −0.281420 1.05027i −0.951416 0.307909i \(-0.900371\pi\)
0.669996 0.742365i \(-0.266296\pi\)
\(564\) 43.6387 + 12.9109i 1.83752 + 0.543647i
\(565\) 1.40081 + 8.56727i 0.0589324 + 0.360428i
\(566\) −0.633222 5.34262i −0.0266163 0.224567i
\(567\) −3.47532 3.47532i −0.145950 0.145950i
\(568\) 15.2909 + 21.6137i 0.641591 + 0.906891i
\(569\) 22.8906 13.2159i 0.959622 0.554038i 0.0635652 0.997978i \(-0.479753\pi\)
0.896057 + 0.443940i \(0.146420\pi\)
\(570\) −16.1022 + 29.1036i −0.674449 + 1.21902i
\(571\) 3.87191i 0.162034i −0.996713 0.0810172i \(-0.974183\pi\)
0.996713 0.0810172i \(-0.0258169\pi\)
\(572\) 1.17765 1.33159i 0.0492400 0.0556767i
\(573\) 24.2297 + 24.2297i 1.01221 + 1.01221i
\(574\) 7.12425 16.5896i 0.297361 0.692436i
\(575\) −12.8408 6.38203i −0.535500 0.266149i
\(576\) 5.99404 + 32.1656i 0.249752 + 1.34023i
\(577\) −5.85933 + 5.85933i −0.243927 + 0.243927i −0.818473 0.574546i \(-0.805179\pi\)
0.574546 + 0.818473i \(0.305179\pi\)
\(578\) 21.4767 + 16.9252i 0.893312 + 0.703995i
\(579\) 8.39587 14.5421i 0.348921 0.604348i
\(580\) −18.0045 7.34575i −0.747595 0.305016i
\(581\) 8.32214 14.4144i 0.345261 0.598009i
\(582\) −45.2098 + 18.0454i −1.87400 + 0.748006i
\(583\) −0.147138 0.0394256i −0.00609385 0.00163284i
\(584\) −4.73906 12.8265i −0.196104 0.530764i
\(585\) −28.7617 + 16.1259i −1.18915 + 0.666725i
\(586\) 6.21012 + 8.31354i 0.256538 + 0.343429i
\(587\) 2.52204 9.41236i 0.104096 0.388490i −0.894145 0.447777i \(-0.852216\pi\)
0.998241 + 0.0592868i \(0.0188826\pi\)
\(588\) 16.2113 26.4738i 0.668543 1.09176i
\(589\) 3.01531 + 1.74089i 0.124244 + 0.0717322i
\(590\) 7.68995 30.9471i 0.316590 1.27407i
\(591\) −54.1440 31.2601i −2.22719 1.28587i
\(592\) −6.32352 + 19.5050i −0.259895 + 0.801650i
\(593\) 22.1003 + 22.1003i 0.907550 + 0.907550i 0.996074 0.0885244i \(-0.0282151\pi\)
−0.0885244 + 0.996074i \(0.528215\pi\)
\(594\) −0.119081 1.00471i −0.00488596 0.0412238i
\(595\) 13.2935 5.99834i 0.544979 0.245908i
\(596\) 4.41400 1.06123i 0.180804 0.0434696i
\(597\) −12.5595 + 12.5595i −0.514026 + 0.514026i
\(598\) −4.57916 + 13.8879i −0.187256 + 0.567918i
\(599\) −39.1769 −1.60073 −0.800363 0.599515i \(-0.795360\pi\)
−0.800363 + 0.599515i \(0.795360\pi\)
\(600\) −23.6211 29.3262i −0.964329 1.19724i
\(601\) −17.2215 29.8285i −0.702480 1.21673i −0.967593 0.252514i \(-0.918743\pi\)
0.265113 0.964217i \(-0.414591\pi\)
\(602\) −1.89416 + 2.40353i −0.0772001 + 0.0979606i
\(603\) −37.6441 + 37.6441i −1.53299 + 1.53299i
\(604\) −3.52687 3.71413i −0.143506 0.151126i
\(605\) 19.8608 + 14.2787i 0.807456 + 0.580514i
\(606\) −5.31785 + 3.97238i −0.216023 + 0.161367i
\(607\) 29.6137 7.93497i 1.20198 0.322071i 0.398372 0.917224i \(-0.369575\pi\)
0.803612 + 0.595153i \(0.202909\pi\)
\(608\) −4.34156 + 21.9197i −0.176074 + 0.888962i
\(609\) −10.8488 + 6.26356i −0.439616 + 0.253812i
\(610\) 4.14226 16.6700i 0.167715 0.674948i
\(611\) 10.5342 + 28.9549i 0.426167 + 1.17139i
\(612\) −23.5414 43.3242i −0.951604 1.75128i
\(613\) −11.3893 + 42.5056i −0.460011 + 1.71679i 0.212910 + 0.977072i \(0.431706\pi\)
−0.672921 + 0.739714i \(0.734961\pi\)
\(614\) −1.54974 + 3.60875i −0.0625426 + 0.145637i
\(615\) 69.3298 11.3359i 2.79565 0.457107i
\(616\) 0.707669 0.261466i 0.0285128 0.0105347i
\(617\) −0.0811381 0.302811i −0.00326650 0.0121907i 0.964273 0.264909i \(-0.0853420\pi\)
−0.967540 + 0.252719i \(0.918675\pi\)
\(618\) 26.5233 + 20.9023i 1.06692 + 0.840813i
\(619\) 15.7321 0.632325 0.316163 0.948705i \(-0.397606\pi\)
0.316163 + 0.948705i \(0.397606\pi\)
\(620\) −3.11448 + 2.41625i −0.125080 + 0.0970389i
\(621\) 4.16144 + 7.20782i 0.166993 + 0.289240i
\(622\) 20.7413 8.27887i 0.831652 0.331953i
\(623\) 1.16601 1.16601i 0.0467152 0.0467152i
\(624\) −26.1756 + 28.0988i −1.04786 + 1.12485i
\(625\) 23.0372 + 9.71028i 0.921486 + 0.388411i
\(626\) −4.80511 + 11.1892i −0.192051 + 0.447211i
\(627\) 0.671081 2.50451i 0.0268004 0.100020i
\(628\) 0.232524 8.99159i 0.00927870 0.358804i
\(629\) 30.8996i 1.23205i
\(630\) −13.9918 + 0.255319i −0.557445 + 0.0101722i
\(631\) −31.8425 18.3843i −1.26763 0.731866i −0.293091 0.956085i \(-0.594684\pi\)
−0.974539 + 0.224218i \(0.928017\pi\)
\(632\) 39.4796 + 18.1770i 1.57042 + 0.723042i
\(633\) 61.8891 16.5831i 2.45987 0.659120i
\(634\) 6.98937 + 3.00152i 0.277583 + 0.119206i
\(635\) −41.1082 15.5449i −1.63133 0.616880i
\(636\) 3.15551 + 0.933588i 0.125124 + 0.0370192i
\(637\) 20.9380 1.82892i 0.829593 0.0724646i
\(638\) 1.50020 + 0.217270i 0.0593936 + 0.00860178i
\(639\) 19.1420 + 33.1549i 0.757245 + 1.31159i
\(640\) −21.1205 13.9257i −0.834861 0.550461i
\(641\) 6.68010 11.5703i 0.263848 0.456999i −0.703413 0.710781i \(-0.748342\pi\)
0.967261 + 0.253783i \(0.0816749\pi\)
\(642\) 44.0089 + 6.37367i 1.73689 + 0.251549i
\(643\) −1.34785 5.03024i −0.0531539 0.198373i 0.934243 0.356637i \(-0.116077\pi\)
−0.987397 + 0.158264i \(0.949410\pi\)
\(644\) −4.50037 + 4.27348i −0.177339 + 0.168399i
\(645\) −11.8480 1.18550i −0.466516 0.0466789i
\(646\) −3.96341 33.4400i −0.155938 1.31568i
\(647\) 10.2230 38.1529i 0.401909 1.49995i −0.407776 0.913082i \(-0.633696\pi\)
0.809686 0.586864i \(-0.199638\pi\)
\(648\) −1.18183 12.7932i −0.0464267 0.502564i
\(649\) 2.48584i 0.0975776i
\(650\) 6.45943 24.6632i 0.253360 0.967372i
\(651\) 2.53943i 0.0995282i
\(652\) 25.6311 + 15.6953i 1.00379 + 0.614675i
\(653\) −5.41449 + 20.2071i −0.211885 + 0.790767i 0.775354 + 0.631526i \(0.217571\pi\)
−0.987240 + 0.159241i \(0.949095\pi\)
\(654\) −55.9965 + 6.63686i −2.18964 + 0.259522i
\(655\) −35.8029 3.58239i −1.39893 0.139975i
\(656\) 42.0378 21.4538i 1.64130 0.837631i
\(657\) −5.11753 19.0989i −0.199654 0.745119i
\(658\) −1.87426 + 12.9414i −0.0730661 + 0.504507i
\(659\) −14.3212 + 24.8051i −0.557876 + 0.966270i 0.439797 + 0.898097i \(0.355050\pi\)
−0.997674 + 0.0681727i \(0.978283\pi\)
\(660\) 2.33833 + 1.77459i 0.0910196 + 0.0690758i
\(661\) −1.45694 2.52349i −0.0566683 0.0981524i 0.836300 0.548273i \(-0.184714\pi\)
−0.892968 + 0.450120i \(0.851381\pi\)
\(662\) 0.146147 1.00911i 0.00568016 0.0392203i
\(663\) 24.4643 52.4451i 0.950116 2.03680i
\(664\) 40.8125 15.0792i 1.58383 0.585185i
\(665\) −8.93942 3.38041i −0.346656 0.131087i
\(666\) −11.6995 + 27.2436i −0.453347 + 1.05567i
\(667\) −12.0449 + 3.22743i −0.466381 + 0.124967i
\(668\) 0.113541 + 0.208955i 0.00439305 + 0.00808472i
\(669\) −32.8186 18.9478i −1.26884 0.732566i
\(670\) −0.750994 41.1552i −0.0290134 1.58997i
\(671\) 1.33902i 0.0516923i
\(672\) −15.4285 + 5.25128i −0.595167 + 0.202572i
\(673\) 5.47091 20.4177i 0.210888 0.787045i −0.776686 0.629888i \(-0.783101\pi\)
0.987574 0.157156i \(-0.0502327\pi\)
\(674\) 23.5772 + 10.1250i 0.908159 + 0.390001i
\(675\) −8.02414 12.0900i −0.308849 0.465346i
\(676\) −25.8330 2.94200i −0.993577 0.113154i
\(677\) −26.0071 + 26.0071i −0.999536 + 0.999536i −1.00000 0.000464386i \(-0.999852\pi\)
0.000464386 1.00000i \(0.499852\pi\)
\(678\) 5.41945 + 13.5775i 0.208133 + 0.521442i
\(679\) −6.99356 12.1132i −0.268388 0.464862i
\(680\) 36.7485 + 10.1470i 1.40924 + 0.389120i
\(681\) 37.8964 1.45219
\(682\) 0.190200 0.241348i 0.00728312 0.00924169i
\(683\) −0.537138 2.00463i −0.0205530 0.0767049i 0.954888 0.296967i \(-0.0959753\pi\)
−0.975441 + 0.220262i \(0.929309\pi\)
\(684\) −9.16695 + 30.9841i −0.350507 + 1.18471i
\(685\) −17.2557 + 2.82143i −0.659307 + 0.107801i
\(686\) 18.0382 + 7.74636i 0.688703 + 0.295757i
\(687\) 11.7852 43.9830i 0.449634 1.67806i
\(688\) −7.82363 + 1.66829i −0.298273 + 0.0636029i
\(689\) 0.761727 + 2.09373i 0.0290195 + 0.0797646i
\(690\) −23.4353 5.82335i −0.892166 0.221691i
\(691\) −11.1927 + 6.46213i −0.425792 + 0.245831i −0.697552 0.716534i \(-0.745728\pi\)
0.271760 + 0.962365i \(0.412394\pi\)
\(692\) −10.8949 + 17.7919i −0.414162 + 0.676346i
\(693\) 1.05373 0.282347i 0.0400280 0.0107255i
\(694\) 1.89010 + 2.53030i 0.0717473 + 0.0960487i
\(695\) −17.7644 12.7715i −0.673841 0.484452i
\(696\) −32.2763 5.52985i −1.22343 0.209609i
\(697\) −50.2913 + 50.2913i −1.90492 + 1.90492i
\(698\) 4.14857 + 3.26938i 0.157026 + 0.123748i
\(699\) 5.34531 + 9.25835i 0.202178 + 0.350183i
\(700\) 7.36672 7.92499i 0.278436 0.299536i
\(701\) −13.8135 −0.521729 −0.260865 0.965375i \(-0.584008\pi\)
−0.260865 + 0.965375i \(0.584008\pi\)
\(702\) −11.0398 + 9.85393i −0.416672 + 0.371913i
\(703\) −14.3182 + 14.3182i −0.540022 + 0.540022i
\(704\) 1.85964 + 0.656489i 0.0700877 + 0.0247424i
\(705\) −46.3773 + 20.9266i −1.74667 + 0.788142i
\(706\) 18.6942 2.21570i 0.703567 0.0833888i
\(707\) −1.34865 1.34865i −0.0507211 0.0507211i
\(708\) 1.38825 53.6829i 0.0521735 2.01753i
\(709\) 13.8539 + 7.99857i 0.520295 + 0.300393i 0.737056 0.675832i \(-0.236216\pi\)
−0.216760 + 0.976225i \(0.569549\pi\)
\(710\) −28.7271 7.13830i −1.07811 0.267896i
\(711\) 54.4279 + 31.4239i 2.04120 + 1.17849i
\(712\) 4.29227 0.396518i 0.160860 0.0148601i
\(713\) −0.654248 + 2.44169i −0.0245018 + 0.0914418i
\(714\) 19.6765 14.6981i 0.736374 0.550063i
\(715\) −0.0250378 + 1.98730i −0.000936359 + 0.0743209i
\(716\) 5.13325 + 1.51872i 0.191839 + 0.0567572i
\(717\) 35.5231 + 9.51839i 1.32664 + 0.355471i
\(718\) 10.2805 + 25.7561i 0.383664 + 0.961208i
\(719\) −6.69228 + 11.5914i −0.249580 + 0.432285i −0.963409 0.268035i \(-0.913626\pi\)
0.713829 + 0.700320i \(0.246959\pi\)
\(720\) −28.5585 22.8605i −1.06431 0.851962i
\(721\) −4.85167 + 8.40334i −0.180686 + 0.312957i
\(722\) 2.97281 3.77225i 0.110637 0.140389i
\(723\) 9.01594 9.01594i 0.335306 0.335306i
\(724\) −17.3606 + 16.4853i −0.645201 + 0.612672i
\(725\) 20.6084 6.92434i 0.765376 0.257163i
\(726\) 37.8503 + 16.2545i 1.40476 + 0.603260i
\(727\) −34.3031 34.3031i −1.27223 1.27223i −0.944915 0.327317i \(-0.893856\pi\)
−0.327317 0.944915i \(-0.606144\pi\)
\(728\) −9.06855 6.28637i −0.336103 0.232988i
\(729\) 41.7600i 1.54667i
\(730\) 13.3770 + 7.40116i 0.495106 + 0.273929i
\(731\) 10.4400 6.02752i 0.386136 0.222936i
\(732\) 0.747793 28.9168i 0.0276392 1.06880i
\(733\) −25.4810 25.4810i −0.941161 0.941161i 0.0572021 0.998363i \(-0.481782\pi\)
−0.998363 + 0.0572021i \(0.981782\pi\)
\(734\) 16.4043 1.94429i 0.605494 0.0717649i
\(735\) 5.60049 + 34.2523i 0.206577 + 1.26342i
\(736\) −16.1875 + 1.07422i −0.596681 + 0.0395963i
\(737\) 0.830492 + 3.09944i 0.0305916 + 0.114169i
\(738\) 63.3828 25.2991i 2.33315 0.931274i
\(739\) 22.9546 + 39.7586i 0.844399 + 1.46254i 0.886142 + 0.463414i \(0.153376\pi\)
−0.0417423 + 0.999128i \(0.513291\pi\)
\(740\) −8.88541 21.1327i −0.326634 0.776852i
\(741\) −35.6382 + 12.9657i −1.30920 + 0.476306i
\(742\) −0.135527 + 0.935789i −0.00497537 + 0.0343539i
\(743\) 22.8756 + 6.12949i 0.839224 + 0.224869i 0.652734 0.757588i \(-0.273622\pi\)
0.186490 + 0.982457i \(0.440289\pi\)
\(744\) −4.24224 + 5.10581i −0.155528 + 0.187188i
\(745\) −2.96284 + 4.12111i −0.108550 + 0.150986i
\(746\) 4.99735 + 6.69000i 0.182966 + 0.244938i
\(747\) 60.7705 16.2834i 2.22348 0.595779i
\(748\) −2.97092 0.0768284i −0.108628 0.00280912i
\(749\) 12.7774i 0.466876i
\(750\) 41.4115 + 7.58731i 1.51213 + 0.277049i
\(751\) 32.5336 18.7833i 1.18717 0.685413i 0.229507 0.973307i \(-0.426288\pi\)
0.957662 + 0.287894i \(0.0929551\pi\)
\(752\) −25.3875 + 22.8890i −0.925789 + 0.834676i
\(753\) 27.2409 + 27.2409i 0.992713 + 0.992713i
\(754\) −9.97967 19.7981i −0.363438 0.721003i
\(755\) 5.69798 + 0.570132i 0.207371 + 0.0207492i
\(756\) −6.10621 + 1.46807i −0.222081 + 0.0533933i
\(757\) 0.558734 + 0.149712i 0.0203075 + 0.00544138i 0.268959 0.963152i \(-0.413321\pi\)
−0.248651 + 0.968593i \(0.579987\pi\)
\(758\) −2.49130 + 3.16125i −0.0904880 + 0.114822i
\(759\) 1.88245 0.0683284
\(760\) −12.3266 21.7304i −0.447131 0.788245i
\(761\) −17.4636 + 30.2478i −0.633055 + 1.09648i 0.353869 + 0.935295i \(0.384866\pi\)
−0.986924 + 0.161188i \(0.948467\pi\)
\(762\) −73.2476 10.6082i −2.65348 0.384295i
\(763\) −4.19354 15.6505i −0.151816 0.566586i
\(764\) −25.0247 + 6.01652i −0.905363 + 0.217670i
\(765\) 51.5634 + 19.4985i 1.86428 + 0.704970i
\(766\) −15.0698 + 11.2570i −0.544495 + 0.406732i
\(767\) 29.7858 20.8501i 1.07550 0.752854i
\(768\) −39.7932 15.2158i −1.43591 0.549051i
\(769\) −2.42207 + 1.39838i −0.0873422 + 0.0504270i −0.543035 0.839710i \(-0.682725\pi\)
0.455693 + 0.890137i \(0.349392\pi\)
\(770\) −0.408340 + 0.738043i −0.0147155 + 0.0265972i
\(771\) 24.5139 + 14.1531i 0.882845 + 0.509711i
\(772\) 6.02183 + 11.0822i 0.216730 + 0.398858i
\(773\) −2.43164 + 0.651555i −0.0874599 + 0.0234348i −0.302284 0.953218i \(-0.597749\pi\)
0.214824 + 0.976653i \(0.431082\pi\)
\(774\) −11.4869 + 1.36146i −0.412889 + 0.0489368i
\(775\) 0.873201 4.31976i 0.0313663 0.155170i
\(776\) 6.17435 36.0380i 0.221646 1.29369i
\(777\) −14.2653 3.82239i −0.511766 0.137127i
\(778\) 30.2622 12.0791i 1.08495 0.433056i
\(779\) 46.6079 1.66990
\(780\) 1.65054 42.9028i 0.0590987 1.53617i
\(781\) 2.30751 0.0825693
\(782\) 22.7059 9.06300i 0.811960 0.324092i
\(783\) −12.1887 3.26596i −0.435589 0.116716i
\(784\) 10.5992 + 20.7687i 0.378544 + 0.741741i
\(785\) 6.36756 + 7.78349i 0.227268 + 0.277805i
\(786\) −60.1731 + 7.13189i −2.14630 + 0.254386i
\(787\) 31.5722 8.45975i 1.12543 0.301557i 0.352350 0.935868i \(-0.385383\pi\)
0.773078 + 0.634311i \(0.218716\pi\)
\(788\) 41.2621 22.4209i 1.46990 0.798710i
\(789\) 11.7262 + 6.77011i 0.417463 + 0.241022i
\(790\) −46.7002 + 13.4311i −1.66152 + 0.477858i
\(791\) −3.63787 + 2.10033i −0.129348 + 0.0746790i
\(792\) 2.59032 + 1.19262i 0.0920430 + 0.0423779i
\(793\) 16.0444 11.2311i 0.569753 0.398829i
\(794\) −23.7695 + 17.7556i −0.843549 + 0.630122i
\(795\) −3.35355 + 1.51320i −0.118938 + 0.0536678i
\(796\) −3.11868 12.9716i −0.110539 0.459767i
\(797\) 10.2335 + 38.1918i 0.362488 + 1.35282i 0.870795 + 0.491647i \(0.163605\pi\)
−0.508307 + 0.861176i \(0.669728\pi\)
\(798\) −15.9285 2.30687i −0.563862 0.0816624i
\(799\) 25.7559 44.6105i 0.911178 1.57821i
\(800\) 28.0507 3.62761i 0.991741 0.128256i
\(801\) 6.23307 0.220235
\(802\) −0.889401 + 1.12858i −0.0314058 + 0.0398515i
\(803\) −1.15116 0.308452i −0.0406235 0.0108850i
\(804\) −16.2040 67.3978i −0.571471 2.37694i
\(805\) 0.690823 6.90418i 0.0243483 0.243340i
\(806\) −4.48719 0.254689i −0.158054 0.00897104i
\(807\) −4.21645 4.21645i −0.148426 0.148426i
\(808\) −0.458626 4.96459i −0.0161344 0.174653i
\(809\) 22.6441 13.0736i 0.796125 0.459643i −0.0459892 0.998942i \(-0.514644\pi\)
0.842115 + 0.539299i \(0.181311\pi\)
\(810\) 10.3406 + 9.96997i 0.363331 + 0.350309i
\(811\) 35.8917i 1.26033i −0.776461 0.630165i \(-0.782987\pi\)
0.776461 0.630165i \(-0.217013\pi\)
\(812\) 0.243246 9.40623i 0.00853627 0.330094i
\(813\) −49.9688 + 13.3891i −1.75248 + 0.469576i
\(814\) 1.06949 + 1.43173i 0.0374855 + 0.0501822i
\(815\) −33.1620 + 5.42221i −1.16161 + 0.189932i
\(816\) 64.1157 + 3.31830i 2.24450 + 0.116164i
\(817\) −7.63069 2.04464i −0.266964 0.0715328i
\(818\) 0.740629 5.11389i 0.0258955 0.178803i
\(819\) −12.2214 10.2578i −0.427049 0.358437i
\(820\) −19.9333 + 48.8566i −0.696101 + 1.70615i
\(821\) −13.6914 23.7141i −0.477832 0.827629i 0.521845 0.853040i \(-0.325244\pi\)
−0.999677 + 0.0254113i \(0.991910\pi\)
\(822\) −27.3471 + 10.9155i −0.953840 + 0.380723i
\(823\) −4.62143 17.2474i −0.161093 0.601207i −0.998506 0.0546370i \(-0.982600\pi\)
0.837413 0.546570i \(-0.184067\pi\)
\(824\) −23.7930 + 8.79091i −0.828869 + 0.306246i
\(825\) −3.27558 + 0.204484i −0.114041 + 0.00711922i
\(826\) 15.3231 1.81614i 0.533159 0.0631916i
\(827\) −4.36878 4.36878i −0.151917 0.151917i 0.627056 0.778974i \(-0.284260\pi\)
−0.778974 + 0.627056i \(0.784260\pi\)
\(828\) −23.4509 0.606443i −0.814974 0.0210753i
\(829\) 30.5354 17.6296i 1.06054 0.612303i 0.134958 0.990851i \(-0.456910\pi\)
0.925581 + 0.378548i \(0.123577\pi\)
\(830\) −23.5497 + 42.5642i −0.817421 + 1.47743i
\(831\) 12.4281i 0.431127i
\(832\) −7.73165 27.7889i −0.268047 0.963406i
\(833\) −24.8464 24.8464i −0.860876 0.860876i
\(834\) −33.8550 14.5387i −1.17230 0.503435i
\(835\) −0.248693 0.0940424i −0.00860639 0.00325447i
\(836\) 1.34106 + 1.41226i 0.0463816 + 0.0488442i
\(837\) −1.80878 + 1.80878i −0.0625204 + 0.0625204i
\(838\) −5.20088 + 6.59949i −0.179661 + 0.227976i
\(839\) 6.82002 11.8126i 0.235453 0.407817i −0.723951 0.689851i \(-0.757676\pi\)
0.959404 + 0.282034i \(0.0910093\pi\)
\(840\) 9.23048 15.7104i 0.318482 0.542060i
\(841\) −5.04697 + 8.74162i −0.174034 + 0.301435i
\(842\) 1.72438 + 4.32014i 0.0594260 + 0.148882i
\(843\) 76.4078 + 20.4734i 2.63162 + 0.705141i
\(844\) −13.6535 + 46.1486i −0.469973 + 1.58850i
\(845\) 24.0223 16.3686i 0.826391 0.563097i
\(846\) −39.5994 + 29.5803i −1.36146 + 1.01699i
\(847\) −3.06347 + 11.4330i −0.105262 + 0.392843i
\(848\) −1.83577 + 1.65510i −0.0630407 + 0.0568365i
\(849\) 8.77242 + 5.06476i 0.301069 + 0.173822i
\(850\) −38.5252 + 18.2367i −1.32140 + 0.625513i
\(851\) −12.7315 7.35051i −0.436429 0.251972i
\(852\) −49.8320 1.28866i −1.70721 0.0441488i
\(853\) −2.95428 2.95428i −0.101153 0.101153i 0.654719 0.755872i \(-0.272787\pi\)
−0.755872 + 0.654719i \(0.772787\pi\)
\(854\) 8.25394 0.978281i 0.282444 0.0334761i
\(855\) −14.8582 32.9286i −0.508140 1.12614i
\(856\) −21.3452 + 25.6904i −0.729565 + 0.878079i
\(857\) 32.5555 32.5555i 1.11207 1.11207i 0.119204 0.992870i \(-0.461966\pi\)
0.992870 0.119204i \(-0.0380341\pi\)
\(858\) 0.681660 + 3.27680i 0.0232715 + 0.111868i
\(859\) 38.9402 1.32862 0.664310 0.747457i \(-0.268725\pi\)
0.664310 + 0.747457i \(0.268725\pi\)
\(860\) 5.40679 7.12440i 0.184370 0.242940i
\(861\) 16.9967 + 29.4391i 0.579245 + 1.00328i
\(862\) −3.04380 2.39873i −0.103672 0.0817011i
\(863\) −23.0099 + 23.0099i −0.783267 + 0.783267i −0.980381 0.197114i \(-0.936843\pi\)
0.197114 + 0.980381i \(0.436843\pi\)
\(864\) −14.7297 7.24898i −0.501114 0.246615i
\(865\) −3.76384 23.0195i −0.127974 0.782685i
\(866\) −3.59720 4.81560i −0.122238 0.163641i
\(867\) −49.7297 + 13.3250i −1.68891 + 0.452542i
\(868\) −1.62667 0.996094i −0.0552127 0.0338096i
\(869\) 3.28056 1.89404i 0.111286 0.0642507i
\(870\) 31.3675 18.8813i 1.06346 0.640137i
\(871\) 30.1723 35.9478i 1.02235 1.21805i
\(872\) 17.7133 38.4726i 0.599849 1.30285i
\(873\) 13.6839 51.0689i 0.463129 1.72842i
\(874\) −14.7210 6.32182i −0.497946 0.213839i
\(875\) −0.452097 + 12.0888i −0.0152837 + 0.408675i
\(876\) 24.6876 + 7.30407i 0.834118 + 0.246782i
\(877\) 1.74328 + 6.50600i 0.0588663 + 0.219692i 0.989093 0.147294i \(-0.0470563\pi\)
−0.930226 + 0.366986i \(0.880390\pi\)
\(878\) 23.0767 29.2824i 0.778800 0.988233i
\(879\) −19.5377 −0.658991
\(880\) −2.05395 + 0.801767i −0.0692386 + 0.0270276i
\(881\) −16.6633 28.8616i −0.561400 0.972374i −0.997375 0.0724146i \(-0.976930\pi\)
0.435974 0.899959i \(-0.356404\pi\)
\(882\) 12.4990 + 31.3142i 0.420863 + 1.05440i
\(883\) −11.4582 + 11.4582i −0.385600 + 0.385600i −0.873115 0.487515i \(-0.837904\pi\)
0.487515 + 0.873115i \(0.337904\pi\)
\(884\) 23.9982 + 36.2426i 0.807147 + 1.21897i
\(885\) 38.0165 + 46.4701i 1.27791 + 1.56208i
\(886\) −49.4753 21.2467i −1.66216 0.713798i
\(887\) −12.7490 + 47.5798i −0.428068 + 1.59757i 0.329061 + 0.944309i \(0.393268\pi\)
−0.757130 + 0.653265i \(0.773399\pi\)
\(888\) −22.2966 31.5163i −0.748224 1.05762i
\(889\) 21.2665i 0.713254i
\(890\) −3.34504 + 3.46939i −0.112126 + 0.116294i
\(891\) −0.969732 0.559875i −0.0324872 0.0187565i
\(892\) 25.0104 13.5901i 0.837411 0.455030i
\(893\) −32.6063 + 8.73684i −1.09113 + 0.292367i
\(894\) −3.37280 + 7.85394i −0.112803 + 0.262675i
\(895\) −5.45540 + 2.46161i −0.182354 + 0.0822827i
\(896\) 2.68806 11.9427i 0.0898019 0.398979i
\(897\) −15.7891 22.5558i −0.527183 0.753117i
\(898\) −1.23711 + 8.54197i −0.0412828 + 0.285049i
\(899\) −1.91627 3.31907i −0.0639111 0.110697i
\(900\) 40.8719 1.49214i 1.36240 0.0497382i
\(901\) 1.86241 3.22579i 0.0620458 0.107467i
\(902\) 0.589579 4.07092i 0.0196308 0.135547i
\(903\) −1.49125 5.56543i −0.0496258 0.185206i
\(904\) −10.8230 1.85430i −0.359969 0.0616730i
\(905\) 2.66491 26.6335i 0.0885847 0.885327i
\(906\) 9.57646 1.13503i 0.318157 0.0377088i
\(907\) −9.35147 + 34.9002i −0.310511 + 1.15884i 0.617587 + 0.786503i \(0.288110\pi\)
−0.928097 + 0.372338i \(0.878556\pi\)
\(908\) −14.8649 + 24.2750i −0.493308 + 0.805595i
\(909\) 7.20938i 0.239120i
\(910\) 12.2684 1.29758i 0.406692 0.0430142i
\(911\) 22.1893i 0.735165i 0.929991 + 0.367582i \(0.119814\pi\)
−0.929991 + 0.367582i \(0.880186\pi\)
\(912\) −28.1722 31.2475i −0.932876 1.03471i
\(913\) 0.981461 3.66286i 0.0324816 0.121223i
\(914\) 0.972762 + 8.20738i 0.0321761 + 0.271476i
\(915\) 20.4780 + 25.0316i 0.676981 + 0.827519i
\(916\) 23.5511 + 24.8015i 0.778152 + 0.819466i
\(917\) −4.50632 16.8178i −0.148812 0.555374i
\(918\) 24.4842 + 3.54597i 0.808098 + 0.117034i
\(919\) −8.37037 + 14.4979i −0.276113 + 0.478242i −0.970415 0.241442i \(-0.922380\pi\)
0.694302 + 0.719683i \(0.255713\pi\)
\(920\) 12.9227 12.7276i 0.426050 0.419615i
\(921\) −3.69730 6.40391i −0.121830 0.211016i
\(922\) 1.87919 + 0.272157i 0.0618877 + 0.00896300i
\(923\) −19.3544 27.6491i −0.637058 0.910081i
\(924\) −0.402983 + 1.36208i −0.0132572 + 0.0448090i
\(925\) 22.9520 + 11.4074i 0.754658 + 0.375073i
\(926\) 44.5762 + 19.1429i 1.46487 + 0.629074i
\(927\) −35.4282 + 9.49297i −1.16362 + 0.311790i
\(928\) 16.2026 18.5059i 0.531877 0.607486i
\(929\) 13.9500 + 8.05405i 0.457685 + 0.264245i 0.711071 0.703121i \(-0.248211\pi\)
−0.253385 + 0.967365i \(0.581544\pi\)
\(930\) −0.135408 7.42052i −0.00444021 0.243328i
\(931\) 23.0266i 0.754666i
\(932\) −8.02726 0.207586i −0.262942 0.00679970i
\(933\) −10.8828 + 40.6151i −0.356287 + 1.32968i
\(934\) 12.3585 28.7780i 0.404381 0.941646i
\(935\) 2.57175 2.10391i 0.0841053 0.0688052i
\(936\) −7.43625 41.0409i −0.243061 1.34146i
\(937\) 20.3242 20.3242i 0.663963 0.663963i −0.292349 0.956312i \(-0.594437\pi\)
0.956312 + 0.292349i \(0.0944368\pi\)
\(938\) 18.4987 7.38372i 0.604004 0.241087i
\(939\) −11.4638 19.8559i −0.374107 0.647972i
\(940\) 4.78673 37.9161i 0.156126 1.23669i
\(941\) −4.52633 −0.147554 −0.0737771 0.997275i \(-0.523505\pi\)
−0.0737771 + 0.997275i \(0.523505\pi\)
\(942\) 13.3011 + 10.4822i 0.433374 + 0.341530i
\(943\) 8.75789 + 32.6849i 0.285196 + 1.06437i
\(944\) 33.8428 + 21.9464i 1.10149 + 0.714295i
\(945\) 4.09871 5.70104i 0.133331 0.185455i
\(946\) −0.275113 + 0.640631i −0.00894471 + 0.0208287i
\(947\) 14.5584 54.3328i 0.473085 1.76558i −0.155498 0.987836i \(-0.549698\pi\)
0.628583 0.777742i \(-0.283635\pi\)
\(948\) −71.9032 + 39.0706i −2.33531 + 1.26895i
\(949\) 5.95949 + 16.3806i 0.193453 + 0.531736i
\(950\) 26.3023 + 9.40127i 0.853358 + 0.305017i
\(951\) −12.4030 + 7.16088i −0.402195 + 0.232208i
\(952\) 1.69696 + 18.3694i 0.0549987 + 0.595355i
\(953\) −47.7403 + 12.7920i −1.54646 + 0.414372i −0.928346 0.371717i \(-0.878769\pi\)
−0.618113 + 0.786089i \(0.712103\pi\)
\(954\) −2.86343 + 2.13895i −0.0927071 + 0.0692512i
\(955\) 16.7975 23.3642i 0.543555 0.756049i
\(956\) −20.0311 + 19.0212i −0.647852 + 0.615190i
\(957\) −2.01812 + 2.01812i −0.0652367 + 0.0652367i
\(958\) −6.91070 + 8.76912i −0.223275 + 0.283317i
\(959\) −4.23036 7.32720i −0.136605 0.236608i
\(960\) 44.8038 16.1675i 1.44604 0.521805i
\(961\) 30.2231 0.974938
\(962\) 8.18490 24.8236i 0.263892 0.800344i
\(963\) −34.1516 + 34.1516i −1.10052 + 1.10052i
\(964\) 2.23877 + 9.31178i 0.0721059 + 0.299912i
\(965\) −13.1898 4.98767i −0.424595 0.160559i
\(966\) −1.37530 11.6037i −0.0442497 0.373343i
\(967\) 36.1157 + 36.1157i 1.16140 + 1.16140i 0.984169 + 0.177234i \(0.0567149\pi\)
0.177234 + 0.984169i \(0.443285\pi\)
\(968\) −25.2588 + 17.8697i −0.811850 + 0.574353i
\(969\) 54.9075 + 31.7009i 1.76388 + 1.01838i
\(970\) 21.0819 + 35.0233i 0.676899 + 1.12453i
\(971\) −16.6858 9.63358i −0.535474 0.309156i 0.207769 0.978178i \(-0.433380\pi\)
−0.743243 + 0.669022i \(0.766713\pi\)
\(972\) 35.4789 + 21.7256i 1.13799 + 0.696849i
\(973\) 2.74010 10.2262i 0.0878436 0.327837i
\(974\) 9.09084 + 12.1700i 0.291289 + 0.389951i
\(975\) 29.9243 + 37.5335i 0.958343 + 1.20203i
\(976\) 18.2297 + 11.8217i 0.583520 + 0.378402i
\(977\) −33.8396 9.06729i −1.08262 0.290088i −0.326954 0.945040i \(-0.606022\pi\)
−0.755671 + 0.654952i \(0.772689\pi\)
\(978\) −52.5556 + 20.9775i −1.68054 + 0.670786i
\(979\) 0.187845 0.325357i 0.00600355 0.0103984i
\(980\) −24.1376 9.84803i −0.771046 0.314584i
\(981\) 30.6224 53.0395i 0.977697 1.69342i
\(982\) 44.1855 + 34.8214i 1.41002 + 1.11120i
\(983\) −4.43849 + 4.43849i −0.141566 + 0.141566i −0.774338 0.632772i \(-0.781917\pi\)
0.632772 + 0.774338i \(0.281917\pi\)
\(984\) −15.0057 + 87.5844i −0.478365 + 2.79209i
\(985\) −18.5704 + 49.1091i −0.591703 + 1.56475i
\(986\) −14.6262 + 34.0586i −0.465792 + 1.08465i
\(987\) −17.4092 17.4092i −0.554140 0.554140i
\(988\) 5.67378 27.9143i 0.180507 0.888073i
\(989\) 5.73540i 0.182375i
\(990\) −3.06407 + 0.881237i −0.0973826 + 0.0280076i
\(991\) 30.2823 17.4835i 0.961949 0.555382i 0.0651768 0.997874i \(-0.479239\pi\)
0.896772 + 0.442492i \(0.145906\pi\)
\(992\) −1.60657 4.72018i −0.0510087 0.149866i
\(993\) 1.35750 + 1.35750i 0.0430788 + 0.0430788i
\(994\) −1.68586 14.2239i −0.0534721 0.451155i
\(995\) 12.1109 + 8.70703i 0.383941 + 0.276031i
\(996\) −23.2407 + 78.5533i −0.736410 + 2.48906i
\(997\) 5.99240 + 22.3639i 0.189781 + 0.708273i 0.993556 + 0.113340i \(0.0361549\pi\)
−0.803775 + 0.594933i \(0.797178\pi\)
\(998\) 3.13380 + 7.85123i 0.0991988 + 0.248526i
\(999\) −7.43826 12.8834i −0.235336 0.407614i
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 260.2.bj.c.3.15 yes 144
4.3 odd 2 inner 260.2.bj.c.3.9 144
5.2 odd 4 inner 260.2.bj.c.107.32 yes 144
13.9 even 3 inner 260.2.bj.c.243.12 yes 144
20.7 even 4 inner 260.2.bj.c.107.12 yes 144
52.35 odd 6 inner 260.2.bj.c.243.32 yes 144
65.22 odd 12 inner 260.2.bj.c.87.9 yes 144
260.87 even 12 inner 260.2.bj.c.87.15 yes 144
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
260.2.bj.c.3.9 144 4.3 odd 2 inner
260.2.bj.c.3.15 yes 144 1.1 even 1 trivial
260.2.bj.c.87.9 yes 144 65.22 odd 12 inner
260.2.bj.c.87.15 yes 144 260.87 even 12 inner
260.2.bj.c.107.12 yes 144 20.7 even 4 inner
260.2.bj.c.107.32 yes 144 5.2 odd 4 inner
260.2.bj.c.243.12 yes 144 13.9 even 3 inner
260.2.bj.c.243.32 yes 144 52.35 odd 6 inner