Properties

Label 570.2.v.c.83.11
Level $570$
Weight $2$
Character 570.83
Analytic conductor $4.551$
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] = [570,2,Mod(83,570)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(570, 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("570.83");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.v (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: \(4.55147291521\)
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 83.11
Character \(\chi\) \(=\) 570.83
Dual form 570.2.v.c.467.11

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.258819 + 0.965926i) q^{2} +(0.00494183 - 1.73204i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(0.471665 - 2.18576i) q^{5} +(1.67175 + 0.453059i) q^{6} +(2.57943 - 2.57943i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-2.99995 - 0.0171189i) q^{9} +O(q^{10})\) \(q+(-0.258819 + 0.965926i) q^{2} +(0.00494183 - 1.73204i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(0.471665 - 2.18576i) q^{5} +(1.67175 + 0.453059i) q^{6} +(2.57943 - 2.57943i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-2.99995 - 0.0171189i) q^{9} +(1.98920 + 1.02131i) q^{10} +1.00285i q^{11} +(-0.870302 + 1.49752i) q^{12} +(1.25446 - 0.336130i) q^{13} +(1.82393 + 3.15915i) q^{14} +(-3.78350 - 0.827746i) q^{15} +(0.500000 + 0.866025i) q^{16} +(-0.999182 + 3.72900i) q^{17} +(0.792980 - 2.89330i) q^{18} +(-2.61300 - 3.48887i) q^{19} +(-1.50135 + 1.65709i) q^{20} +(-4.45494 - 4.48044i) q^{21} +(-0.968682 - 0.259557i) q^{22} +(-1.31024 - 4.88989i) q^{23} +(-1.22125 - 1.22823i) q^{24} +(-4.55506 - 2.06189i) q^{25} +1.29871i q^{26} +(-0.0444760 + 5.19596i) q^{27} +(-3.52357 + 0.944138i) q^{28} +(-1.42329 + 2.46521i) q^{29} +(1.77878 - 3.44034i) q^{30} +2.15582 q^{31} +(-0.965926 + 0.258819i) q^{32} +(1.73699 + 0.00495593i) q^{33} +(-3.34333 - 1.93027i) q^{34} +(-4.42138 - 6.85464i) q^{35} +(2.58947 + 1.51480i) q^{36} +(4.21563 - 4.21563i) q^{37} +(4.04629 - 1.62097i) q^{38} +(-0.575993 - 2.17443i) q^{39} +(-1.21205 - 1.87908i) q^{40} +(1.20856 - 0.697761i) q^{41} +(5.48079 - 3.14352i) q^{42} +(-1.47295 + 5.49714i) q^{43} +(0.501426 - 0.868496i) q^{44} +(-1.45239 + 6.54909i) q^{45} +5.06239 q^{46} +(3.53121 - 0.946184i) q^{47} +(1.50246 - 0.861742i) q^{48} -6.30694i q^{49} +(3.17057 - 3.86620i) q^{50} +(6.45385 + 1.74906i) q^{51} +(-1.25446 - 0.336130i) q^{52} +(-0.861275 - 3.21432i) q^{53} +(-5.00740 - 1.38777i) q^{54} +(2.19199 + 0.473011i) q^{55} -3.64787i q^{56} +(-6.05580 + 4.50858i) q^{57} +(-2.01283 - 2.01283i) q^{58} +(-6.47590 - 11.2166i) q^{59} +(2.86273 + 2.60860i) q^{60} +(0.457987 - 0.793257i) q^{61} +(-0.557968 + 2.08236i) q^{62} +(-7.78233 + 7.69401i) q^{63} -1.00000i q^{64} +(-0.143016 - 2.90048i) q^{65} +(-0.454352 + 1.67652i) q^{66} +(3.98451 + 14.8704i) q^{67} +(2.72982 - 2.72982i) q^{68} +(-8.47598 + 2.24523i) q^{69} +(7.76541 - 2.49662i) q^{70} +(11.0688 - 6.39060i) q^{71} +(-2.13339 + 2.10918i) q^{72} +(-0.0635858 + 0.237305i) q^{73} +(2.98090 + 5.16307i) q^{74} +(-3.59379 + 7.87938i) q^{75} +(0.518485 + 4.32795i) q^{76} +(2.58679 + 2.58679i) q^{77} +(2.24942 + 0.00641799i) q^{78} +(12.7804 - 7.37876i) q^{79} +(2.12875 - 0.684404i) q^{80} +(8.99941 + 0.102712i) q^{81} +(0.361188 + 1.34797i) q^{82} +(-5.85272 + 5.85272i) q^{83} +(1.61787 + 6.10764i) q^{84} +(7.67940 + 3.94281i) q^{85} +(-4.92860 - 2.84553i) q^{86} +(4.26281 + 2.47738i) q^{87} +(0.709124 + 0.709124i) q^{88} +(-5.12512 + 8.87697i) q^{89} +(-5.95003 - 3.09793i) q^{90} +(2.36876 - 4.10281i) q^{91} +(-1.31024 + 4.88989i) q^{92} +(0.0106537 - 3.73398i) q^{93} +3.65577i q^{94} +(-8.85829 + 4.06580i) q^{95} +(0.443512 + 1.67430i) q^{96} +(-8.47766 - 2.27158i) q^{97} +(6.09203 + 1.63236i) q^{98} +(0.0171678 - 3.00851i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144 q - 4 q^{3} + 8 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 144 q - 4 q^{3} + 8 q^{6} - 16 q^{10} - 8 q^{12} - 32 q^{13} + 4 q^{15} + 72 q^{16} + 32 q^{18} - 24 q^{21} + 8 q^{22} + 40 q^{25} - 16 q^{27} - 8 q^{30} - 16 q^{33} - 16 q^{37} + 8 q^{40} - 44 q^{42} - 16 q^{43} - 56 q^{45} - 48 q^{46} + 4 q^{48} + 32 q^{51} + 32 q^{52} + 8 q^{55} - 64 q^{57} + 32 q^{58} - 24 q^{60} + 76 q^{63} + 16 q^{66} - 56 q^{67} - 8 q^{70} + 16 q^{72} + 88 q^{73} + 32 q^{75} + 48 q^{76} - 56 q^{81} - 152 q^{87} - 16 q^{88} - 4 q^{90} + 80 q^{91} - 52 q^{93} + 16 q^{96} + 32 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.258819 + 0.965926i −0.183013 + 0.683013i
\(3\) 0.00494183 1.73204i 0.00285317 0.999996i
\(4\) −0.866025 0.500000i −0.433013 0.250000i
\(5\) 0.471665 2.18576i 0.210935 0.977500i
\(6\) 1.67175 + 0.453059i 0.682488 + 0.184961i
\(7\) 2.57943 2.57943i 0.974934 0.974934i −0.0247599 0.999693i \(-0.507882\pi\)
0.999693 + 0.0247599i \(0.00788212\pi\)
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) −2.99995 0.0171189i −0.999984 0.00570631i
\(10\) 1.98920 + 1.02131i 0.629041 + 0.322966i
\(11\) 1.00285i 0.302372i 0.988505 + 0.151186i \(0.0483092\pi\)
−0.988505 + 0.151186i \(0.951691\pi\)
\(12\) −0.870302 + 1.49752i −0.251234 + 0.432298i
\(13\) 1.25446 0.336130i 0.347923 0.0932258i −0.0806252 0.996744i \(-0.525692\pi\)
0.428549 + 0.903519i \(0.359025\pi\)
\(14\) 1.82393 + 3.15915i 0.487467 + 0.844317i
\(15\) −3.78350 0.827746i −0.976894 0.213723i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) −0.999182 + 3.72900i −0.242337 + 0.904415i 0.732366 + 0.680911i \(0.238416\pi\)
−0.974703 + 0.223504i \(0.928251\pi\)
\(18\) 0.792980 2.89330i 0.186907 0.681957i
\(19\) −2.61300 3.48887i −0.599463 0.800403i
\(20\) −1.50135 + 1.65709i −0.335713 + 0.370536i
\(21\) −4.45494 4.48044i −0.972148 0.977711i
\(22\) −0.968682 0.259557i −0.206524 0.0553378i
\(23\) −1.31024 4.88989i −0.273205 1.01961i −0.957035 0.289972i \(-0.906354\pi\)
0.683831 0.729641i \(-0.260313\pi\)
\(24\) −1.22125 1.22823i −0.249286 0.250712i
\(25\) −4.55506 2.06189i −0.911013 0.412378i
\(26\) 1.29871i 0.254698i
\(27\) −0.0444760 + 5.19596i −0.00855940 + 0.999963i
\(28\) −3.52357 + 0.944138i −0.665892 + 0.178425i
\(29\) −1.42329 + 2.46521i −0.264298 + 0.457777i −0.967379 0.253332i \(-0.918474\pi\)
0.703081 + 0.711109i \(0.251807\pi\)
\(30\) 1.77878 3.44034i 0.324760 0.628117i
\(31\) 2.15582 0.387197 0.193598 0.981081i \(-0.437984\pi\)
0.193598 + 0.981081i \(0.437984\pi\)
\(32\) −0.965926 + 0.258819i −0.170753 + 0.0457532i
\(33\) 1.73699 + 0.00495593i 0.302370 + 0.000862716i
\(34\) −3.34333 1.93027i −0.573376 0.331039i
\(35\) −4.42138 6.85464i −0.747350 1.15865i
\(36\) 2.58947 + 1.51480i 0.431579 + 0.252467i
\(37\) 4.21563 4.21563i 0.693045 0.693045i −0.269856 0.962901i \(-0.586976\pi\)
0.962901 + 0.269856i \(0.0869761\pi\)
\(38\) 4.04629 1.62097i 0.656394 0.262957i
\(39\) −0.575993 2.17443i −0.0922328 0.348188i
\(40\) −1.21205 1.87908i −0.191641 0.297109i
\(41\) 1.20856 0.697761i 0.188745 0.108972i −0.402650 0.915354i \(-0.631911\pi\)
0.591395 + 0.806382i \(0.298577\pi\)
\(42\) 5.48079 3.14352i 0.845705 0.485056i
\(43\) −1.47295 + 5.49714i −0.224623 + 0.838306i 0.757932 + 0.652334i \(0.226210\pi\)
−0.982555 + 0.185972i \(0.940457\pi\)
\(44\) 0.501426 0.868496i 0.0755929 0.130931i
\(45\) −1.45239 + 6.54909i −0.216509 + 0.976281i
\(46\) 5.06239 0.746409
\(47\) 3.53121 0.946184i 0.515079 0.138015i 0.00808979 0.999967i \(-0.497425\pi\)
0.506990 + 0.861952i \(0.330758\pi\)
\(48\) 1.50246 0.861742i 0.216862 0.124382i
\(49\) 6.30694i 0.900991i
\(50\) 3.17057 3.86620i 0.448386 0.546763i
\(51\) 6.45385 + 1.74906i 0.903720 + 0.244917i
\(52\) −1.25446 0.336130i −0.173962 0.0466129i
\(53\) −0.861275 3.21432i −0.118305 0.441521i 0.881208 0.472729i \(-0.156731\pi\)
−0.999513 + 0.0312082i \(0.990065\pi\)
\(54\) −5.00740 1.38777i −0.681421 0.188852i
\(55\) 2.19199 + 0.473011i 0.295568 + 0.0637807i
\(56\) 3.64787i 0.487467i
\(57\) −6.05580 + 4.50858i −0.802110 + 0.597177i
\(58\) −2.01283 2.01283i −0.264298 0.264298i
\(59\) −6.47590 11.2166i −0.843090 1.46028i −0.887269 0.461252i \(-0.847401\pi\)
0.0441790 0.999024i \(-0.485933\pi\)
\(60\) 2.86273 + 2.60860i 0.369577 + 0.336768i
\(61\) 0.457987 0.793257i 0.0586393 0.101566i −0.835216 0.549923i \(-0.814657\pi\)
0.893855 + 0.448357i \(0.147990\pi\)
\(62\) −0.557968 + 2.08236i −0.0708620 + 0.264460i
\(63\) −7.78233 + 7.69401i −0.980481 + 0.969354i
\(64\) 1.00000i 0.125000i
\(65\) −0.143016 2.90048i −0.0177390 0.359760i
\(66\) −0.454352 + 1.67652i −0.0559269 + 0.206365i
\(67\) 3.98451 + 14.8704i 0.486785 + 1.81671i 0.571885 + 0.820334i \(0.306212\pi\)
−0.0850998 + 0.996372i \(0.527121\pi\)
\(68\) 2.72982 2.72982i 0.331039 0.331039i
\(69\) −8.47598 + 2.24523i −1.02039 + 0.270294i
\(70\) 7.76541 2.49662i 0.928144 0.298403i
\(71\) 11.0688 6.39060i 1.31363 0.758425i 0.330935 0.943654i \(-0.392636\pi\)
0.982695 + 0.185229i \(0.0593027\pi\)
\(72\) −2.13339 + 2.10918i −0.251423 + 0.248569i
\(73\) −0.0635858 + 0.237305i −0.00744216 + 0.0277745i −0.969547 0.244905i \(-0.921243\pi\)
0.962105 + 0.272680i \(0.0879099\pi\)
\(74\) 2.98090 + 5.16307i 0.346522 + 0.600194i
\(75\) −3.59379 + 7.87938i −0.414976 + 0.909833i
\(76\) 0.518485 + 4.32795i 0.0594743 + 0.496450i
\(77\) 2.58679 + 2.58679i 0.294792 + 0.294792i
\(78\) 2.24942 + 0.00641799i 0.254697 + 0.000726695i
\(79\) 12.7804 7.37876i 1.43791 0.830176i 0.440203 0.897899i \(-0.354907\pi\)
0.997704 + 0.0677227i \(0.0215733\pi\)
\(80\) 2.12875 0.684404i 0.238002 0.0765187i
\(81\) 8.99941 + 0.102712i 0.999935 + 0.0114124i
\(82\) 0.361188 + 1.34797i 0.0398865 + 0.148859i
\(83\) −5.85272 + 5.85272i −0.642420 + 0.642420i −0.951150 0.308730i \(-0.900096\pi\)
0.308730 + 0.951150i \(0.400096\pi\)
\(84\) 1.61787 + 6.10764i 0.176525 + 0.666398i
\(85\) 7.67940 + 3.94281i 0.832948 + 0.427657i
\(86\) −4.92860 2.84553i −0.531465 0.306841i
\(87\) 4.26281 + 2.47738i 0.457022 + 0.265603i
\(88\) 0.709124 + 0.709124i 0.0755929 + 0.0755929i
\(89\) −5.12512 + 8.87697i −0.543262 + 0.940957i 0.455452 + 0.890260i \(0.349478\pi\)
−0.998714 + 0.0506968i \(0.983856\pi\)
\(90\) −5.95003 3.09793i −0.627188 0.326550i
\(91\) 2.36876 4.10281i 0.248313 0.430091i
\(92\) −1.31024 + 4.88989i −0.136602 + 0.509807i
\(93\) 0.0106537 3.73398i 0.00110474 0.387195i
\(94\) 3.65577i 0.377064i
\(95\) −8.85829 + 4.06580i −0.908841 + 0.417142i
\(96\) 0.443512 + 1.67430i 0.0452658 + 0.170883i
\(97\) −8.47766 2.27158i −0.860776 0.230644i −0.198681 0.980064i \(-0.563666\pi\)
−0.662095 + 0.749420i \(0.730332\pi\)
\(98\) 6.09203 + 1.63236i 0.615388 + 0.164893i
\(99\) 0.0171678 3.00851i 0.00172542 0.302367i
\(100\) 2.91386 + 4.06318i 0.291386 + 0.406318i
\(101\) −10.9276 6.30906i −1.08734 0.627775i −0.154472 0.987997i \(-0.549368\pi\)
−0.932867 + 0.360222i \(0.882701\pi\)
\(102\) −3.35984 + 5.78125i −0.332673 + 0.572429i
\(103\) 11.4510 + 11.4510i 1.12830 + 1.12830i 0.990453 + 0.137848i \(0.0440184\pi\)
0.137848 + 0.990453i \(0.455982\pi\)
\(104\) 0.649354 1.12471i 0.0636744 0.110287i
\(105\) −11.8944 + 7.62415i −1.16077 + 0.744041i
\(106\) 3.32771 0.323216
\(107\) 9.01561 + 9.01561i 0.871572 + 0.871572i 0.992644 0.121072i \(-0.0386332\pi\)
−0.121072 + 0.992644i \(0.538633\pi\)
\(108\) 2.63650 4.47760i 0.253697 0.430857i
\(109\) 5.66247 3.26923i 0.542367 0.313135i −0.203671 0.979039i \(-0.565287\pi\)
0.746038 + 0.665904i \(0.231954\pi\)
\(110\) −1.02422 + 1.99488i −0.0976558 + 0.190204i
\(111\) −7.28082 7.32248i −0.691065 0.695019i
\(112\) 3.52357 + 0.944138i 0.332946 + 0.0892126i
\(113\) 3.94478 3.94478i 0.371094 0.371094i −0.496782 0.867876i \(-0.665485\pi\)
0.867876 + 0.496782i \(0.165485\pi\)
\(114\) −2.78760 7.01636i −0.261083 0.657142i
\(115\) −11.3061 + 0.557481i −1.05430 + 0.0519854i
\(116\) 2.46521 1.42329i 0.228889 0.132149i
\(117\) −3.76906 + 0.986900i −0.348450 + 0.0912389i
\(118\) 12.5105 3.35217i 1.15168 0.308592i
\(119\) 7.04138 + 12.1960i 0.645482 + 1.11801i
\(120\) −3.26064 + 2.09003i −0.297654 + 0.190793i
\(121\) 9.99429 0.908571
\(122\) 0.647692 + 0.647692i 0.0586393 + 0.0586393i
\(123\) −1.20258 2.09672i −0.108433 0.189055i
\(124\) −1.86700 1.07791i −0.167661 0.0967992i
\(125\) −6.65525 + 8.98374i −0.595264 + 0.803530i
\(126\) −5.41763 9.50851i −0.482641 0.847085i
\(127\) −2.39744 8.94739i −0.212739 0.793952i −0.986950 0.161025i \(-0.948520\pi\)
0.774212 0.632927i \(-0.218147\pi\)
\(128\) 0.965926 + 0.258819i 0.0853766 + 0.0228766i
\(129\) 9.51401 + 2.57839i 0.837662 + 0.227014i
\(130\) 2.83866 + 0.612555i 0.248967 + 0.0537246i
\(131\) 4.22773 2.44088i 0.369378 0.213261i −0.303808 0.952733i \(-0.598258\pi\)
0.673187 + 0.739472i \(0.264925\pi\)
\(132\) −1.50180 0.872785i −0.130715 0.0759661i
\(133\) −15.7394 2.25926i −1.36478 0.195903i
\(134\) −15.3950 −1.32992
\(135\) 11.3361 + 2.54797i 0.975659 + 0.219294i
\(136\) 1.93027 + 3.34333i 0.165519 + 0.286688i
\(137\) −9.43419 + 2.52788i −0.806017 + 0.215972i −0.638224 0.769851i \(-0.720331\pi\)
−0.167793 + 0.985822i \(0.553664\pi\)
\(138\) 0.0250175 8.76828i 0.00212963 0.746406i
\(139\) 10.3794 + 5.99254i 0.880368 + 0.508281i 0.870780 0.491673i \(-0.163615\pi\)
0.00958808 + 0.999954i \(0.496948\pi\)
\(140\) 0.401711 + 8.14698i 0.0339508 + 0.688546i
\(141\) −1.62138 6.12088i −0.136545 0.515471i
\(142\) 3.30802 + 12.3457i 0.277603 + 1.03603i
\(143\) 0.337089 + 1.25803i 0.0281888 + 0.105202i
\(144\) −1.48515 2.60659i −0.123763 0.217216i
\(145\) 4.71703 + 4.27371i 0.391728 + 0.354913i
\(146\) −0.212762 0.122838i −0.0176083 0.0101662i
\(147\) −10.9239 0.0311678i −0.900987 0.00257068i
\(148\) −5.75865 + 1.54303i −0.473358 + 0.126836i
\(149\) −8.24387 14.2788i −0.675364 1.16976i −0.976362 0.216140i \(-0.930653\pi\)
0.300998 0.953625i \(-0.402680\pi\)
\(150\) −6.68076 5.51067i −0.545481 0.449944i
\(151\) −3.94609 −0.321128 −0.160564 0.987025i \(-0.551331\pi\)
−0.160564 + 0.987025i \(0.551331\pi\)
\(152\) −4.31467 0.619338i −0.349966 0.0502350i
\(153\) 3.06133 11.1697i 0.247494 0.903018i
\(154\) −3.16816 + 1.82914i −0.255297 + 0.147396i
\(155\) 1.01683 4.71210i 0.0816734 0.378485i
\(156\) −0.588392 + 2.17111i −0.0471091 + 0.173828i
\(157\) −3.47060 0.929945i −0.276984 0.0742177i 0.117653 0.993055i \(-0.462463\pi\)
−0.394637 + 0.918837i \(0.629130\pi\)
\(158\) 3.81953 + 14.2547i 0.303865 + 1.13404i
\(159\) −5.57160 + 1.47588i −0.441857 + 0.117045i
\(160\) 0.110122 + 2.23335i 0.00870592 + 0.176562i
\(161\) −15.9928 9.23346i −1.26041 0.727699i
\(162\) −2.42843 + 8.66618i −0.190796 + 0.680880i
\(163\) 16.2576 + 16.2576i 1.27339 + 1.27339i 0.944297 + 0.329094i \(0.106743\pi\)
0.329094 + 0.944297i \(0.393257\pi\)
\(164\) −1.39552 −0.108972
\(165\) 0.830107 3.79429i 0.0646238 0.295385i
\(166\) −4.13850 7.16809i −0.321210 0.556352i
\(167\) 18.5062 4.95873i 1.43205 0.383718i 0.542310 0.840178i \(-0.317550\pi\)
0.889744 + 0.456460i \(0.150883\pi\)
\(168\) −6.31827 0.0180271i −0.487465 0.00139082i
\(169\) −9.79765 + 5.65668i −0.753666 + 0.435129i
\(170\) −5.79604 + 6.39726i −0.444536 + 0.490648i
\(171\) 7.77914 + 10.5112i 0.594886 + 0.803810i
\(172\) 4.02419 4.02419i 0.306841 0.306841i
\(173\) 12.3800 + 3.31722i 0.941236 + 0.252203i 0.696639 0.717422i \(-0.254678\pi\)
0.244596 + 0.969625i \(0.421345\pi\)
\(174\) −3.49626 + 3.47637i −0.265051 + 0.263543i
\(175\) −17.0680 + 6.43097i −1.29022 + 0.486136i
\(176\) −0.868496 + 0.501426i −0.0654654 + 0.0377964i
\(177\) −19.4596 + 11.1611i −1.46267 + 0.838921i
\(178\) −7.24802 7.24802i −0.543262 0.543262i
\(179\) 24.5931 1.83818 0.919088 0.394053i \(-0.128927\pi\)
0.919088 + 0.394053i \(0.128927\pi\)
\(180\) 4.53235 4.94548i 0.337821 0.368615i
\(181\) −10.7455 + 18.6118i −0.798709 + 1.38340i 0.121749 + 0.992561i \(0.461150\pi\)
−0.920457 + 0.390843i \(0.872184\pi\)
\(182\) 3.34993 + 3.34993i 0.248313 + 0.248313i
\(183\) −1.37169 0.797174i −0.101398 0.0589288i
\(184\) −4.38416 2.53119i −0.323204 0.186602i
\(185\) −7.22597 11.2027i −0.531264 0.823639i
\(186\) 3.60399 + 0.976715i 0.264257 + 0.0716162i
\(187\) −3.73964 1.00203i −0.273469 0.0732759i
\(188\) −3.53121 0.946184i −0.257540 0.0690076i
\(189\) 13.2879 + 13.5174i 0.966553 + 0.983243i
\(190\) −1.63456 9.60876i −0.118584 0.697092i
\(191\) 12.4070i 0.897742i 0.893597 + 0.448871i \(0.148174\pi\)
−0.893597 + 0.448871i \(0.851826\pi\)
\(192\) −1.73204 0.00494183i −0.124999 0.000356646i
\(193\) −0.0648413 + 0.241991i −0.00466738 + 0.0174189i −0.968220 0.250099i \(-0.919537\pi\)
0.963553 + 0.267518i \(0.0862035\pi\)
\(194\) 4.38836 7.60086i 0.315066 0.545710i
\(195\) −5.02446 + 0.233377i −0.359809 + 0.0167125i
\(196\) −3.15347 + 5.46197i −0.225248 + 0.390140i
\(197\) −2.94005 2.94005i −0.209470 0.209470i 0.594572 0.804042i \(-0.297321\pi\)
−0.804042 + 0.594572i \(0.797321\pi\)
\(198\) 2.90155 + 0.795242i 0.206204 + 0.0565154i
\(199\) 16.1446 + 9.32111i 1.14446 + 0.660756i 0.947532 0.319662i \(-0.103569\pi\)
0.196931 + 0.980417i \(0.436903\pi\)
\(200\) −4.67889 + 1.76294i −0.330848 + 0.124659i
\(201\) 25.7758 6.82785i 1.81809 0.481600i
\(202\) 8.92236 8.92236i 0.627775 0.627775i
\(203\) 2.68756 + 10.0301i 0.188630 + 0.703976i
\(204\) −4.71467 4.74165i −0.330093 0.331982i
\(205\) −0.955102 2.97072i −0.0667072 0.207484i
\(206\) −14.0246 + 8.09708i −0.977137 + 0.564151i
\(207\) 3.84695 + 14.6919i 0.267382 + 1.02116i
\(208\) 0.918326 + 0.918326i 0.0636744 + 0.0636744i
\(209\) 3.49883 2.62045i 0.242019 0.181260i
\(210\) −4.28587 13.4624i −0.295753 0.928992i
\(211\) −11.0642 19.1638i −0.761694 1.31929i −0.941977 0.335678i \(-0.891035\pi\)
0.180283 0.983615i \(-0.442299\pi\)
\(212\) −0.861275 + 3.21432i −0.0591526 + 0.220761i
\(213\) −11.0141 19.2033i −0.754674 1.31579i
\(214\) −11.0418 + 6.37500i −0.754803 + 0.435786i
\(215\) 11.3207 + 5.81233i 0.772063 + 0.396398i
\(216\) 3.64265 + 3.70555i 0.247851 + 0.252131i
\(217\) 5.56079 5.56079i 0.377491 0.377491i
\(218\) 1.69228 + 6.31567i 0.114616 + 0.427751i
\(219\) 0.410709 + 0.111306i 0.0277532 + 0.00752137i
\(220\) −1.66182 1.50564i −0.112040 0.101510i
\(221\) 5.01372i 0.337259i
\(222\) 8.95739 5.13753i 0.601181 0.344809i
\(223\) −2.40370 + 8.97075i −0.160964 + 0.600726i 0.837557 + 0.546350i \(0.183983\pi\)
−0.998521 + 0.0543751i \(0.982683\pi\)
\(224\) −1.82393 + 3.15915i −0.121867 + 0.211079i
\(225\) 13.6297 + 6.26355i 0.908645 + 0.417570i
\(226\) 2.78938 + 4.83135i 0.185547 + 0.321377i
\(227\) −15.8077 15.8077i −1.04919 1.04919i −0.998726 0.0504691i \(-0.983928\pi\)
−0.0504691 0.998726i \(-0.516072\pi\)
\(228\) 7.49877 0.876651i 0.496618 0.0580576i
\(229\) 1.27444i 0.0842172i −0.999113 0.0421086i \(-0.986592\pi\)
0.999113 0.0421086i \(-0.0134076\pi\)
\(230\) 2.38775 11.0652i 0.157444 0.729615i
\(231\) 4.49322 4.46765i 0.295632 0.293950i
\(232\) 0.736748 + 2.74958i 0.0483699 + 0.180519i
\(233\) 24.8525 + 6.65921i 1.62814 + 0.436259i 0.953379 0.301775i \(-0.0975792\pi\)
0.674763 + 0.738035i \(0.264246\pi\)
\(234\) 0.0222325 3.89606i 0.00145338 0.254694i
\(235\) −0.402581 8.16464i −0.0262615 0.532602i
\(236\) 12.9518i 0.843090i
\(237\) −12.7172 22.1727i −0.826070 1.44027i
\(238\) −13.6029 + 3.64488i −0.881745 + 0.236263i
\(239\) −3.71907 −0.240567 −0.120283 0.992740i \(-0.538380\pi\)
−0.120283 + 0.992740i \(0.538380\pi\)
\(240\) −1.17490 3.69048i −0.0758394 0.238219i
\(241\) 8.19712 14.1978i 0.528023 0.914563i −0.471443 0.881896i \(-0.656267\pi\)
0.999466 0.0326664i \(-0.0103999\pi\)
\(242\) −2.58671 + 9.65374i −0.166280 + 0.620566i
\(243\) 0.222375 15.5869i 0.0142654 0.999898i
\(244\) −0.793257 + 0.457987i −0.0507831 + 0.0293196i
\(245\) −13.7854 2.97476i −0.880719 0.190050i
\(246\) 2.33653 0.618932i 0.148972 0.0394617i
\(247\) −4.45061 3.49833i −0.283185 0.222593i
\(248\) 1.52440 1.52440i 0.0967992 0.0967992i
\(249\) 10.1083 + 10.1661i 0.640584 + 0.644250i
\(250\) −6.95512 8.75364i −0.439880 0.553629i
\(251\) −7.80948 4.50881i −0.492930 0.284593i 0.232859 0.972510i \(-0.425192\pi\)
−0.725789 + 0.687917i \(0.758525\pi\)
\(252\) 10.5867 2.77205i 0.666899 0.174623i
\(253\) 4.90384 1.31398i 0.308302 0.0826093i
\(254\) 9.26301 0.581213
\(255\) 6.86707 13.2816i 0.430032 0.831725i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 20.8542 5.58788i 1.30085 0.348562i 0.459080 0.888395i \(-0.348179\pi\)
0.841772 + 0.539833i \(0.181513\pi\)
\(258\) −4.95294 + 8.52249i −0.308356 + 0.530587i
\(259\) 21.7478i 1.35135i
\(260\) −1.32638 + 2.58339i −0.0822587 + 0.160215i
\(261\) 4.31200 7.37114i 0.266906 0.456262i
\(262\) 1.26349 + 4.71542i 0.0780588 + 0.291320i
\(263\) 18.2420 + 4.88792i 1.12485 + 0.301402i 0.772844 0.634596i \(-0.218834\pi\)
0.352004 + 0.935998i \(0.385500\pi\)
\(264\) 1.23174 1.22473i 0.0758083 0.0753769i
\(265\) −7.43196 + 0.366455i −0.456542 + 0.0225111i
\(266\) 6.25593 14.6183i 0.383576 0.896306i
\(267\) 15.3500 + 8.92080i 0.939403 + 0.545944i
\(268\) 3.98451 14.8704i 0.243393 0.908353i
\(269\) −0.915939 1.58645i −0.0558458 0.0967278i 0.836751 0.547584i \(-0.184452\pi\)
−0.892597 + 0.450856i \(0.851119\pi\)
\(270\) −5.39515 + 10.2904i −0.328339 + 0.626254i
\(271\) −15.8789 27.5030i −0.964572 1.67069i −0.710762 0.703433i \(-0.751650\pi\)
−0.253810 0.967254i \(-0.581684\pi\)
\(272\) −3.72900 + 0.999182i −0.226104 + 0.0605843i
\(273\) −7.09454 4.12307i −0.429381 0.249539i
\(274\) 9.76699i 0.590045i
\(275\) 2.06777 4.56806i 0.124691 0.275464i
\(276\) 8.46303 + 2.29356i 0.509415 + 0.138056i
\(277\) 2.50877 2.50877i 0.150737 0.150737i −0.627710 0.778447i \(-0.716008\pi\)
0.778447 + 0.627710i \(0.216008\pi\)
\(278\) −8.47473 + 8.47473i −0.508281 + 0.508281i
\(279\) −6.46736 0.0369053i −0.387191 0.00220946i
\(280\) −7.97335 1.72057i −0.476499 0.102824i
\(281\) −4.56311 2.63451i −0.272212 0.157162i 0.357680 0.933844i \(-0.383568\pi\)
−0.629893 + 0.776682i \(0.716901\pi\)
\(282\) 6.33196 + 0.0180662i 0.377063 + 0.00107583i
\(283\) −0.830817 + 3.10065i −0.0493869 + 0.184315i −0.986213 0.165481i \(-0.947082\pi\)
0.936826 + 0.349796i \(0.113749\pi\)
\(284\) −12.7812 −0.758425
\(285\) 6.99836 + 15.3630i 0.414547 + 0.910028i
\(286\) −1.30241 −0.0770133
\(287\) 1.31757 4.91722i 0.0777734 0.290254i
\(288\) 2.90216 0.759909i 0.171011 0.0447781i
\(289\) 1.81536 + 1.04810i 0.106786 + 0.0616530i
\(290\) −5.34895 + 3.45018i −0.314101 + 0.202602i
\(291\) −3.97637 + 14.6724i −0.233099 + 0.860114i
\(292\) 0.173720 0.173720i 0.0101662 0.0101662i
\(293\) 0.745568 0.745568i 0.0435566 0.0435566i −0.684993 0.728550i \(-0.740195\pi\)
0.728550 + 0.684993i \(0.240195\pi\)
\(294\) 2.85742 10.5436i 0.166648 0.614915i
\(295\) −27.5712 + 8.86427i −1.60526 + 0.516098i
\(296\) 5.96180i 0.346522i
\(297\) −5.21079 0.0446028i −0.302360 0.00258812i
\(298\) 15.9259 4.26734i 0.922564 0.247200i
\(299\) −3.28728 5.69374i −0.190109 0.329278i
\(300\) 7.05201 5.02685i 0.407148 0.290225i
\(301\) 10.3801 + 17.9789i 0.598300 + 1.03629i
\(302\) 1.02132 3.81163i 0.0587706 0.219335i
\(303\) −10.9816 + 18.8959i −0.630875 + 1.08554i
\(304\) 1.71496 4.00736i 0.0983594 0.229838i
\(305\) −1.51785 1.37520i −0.0869119 0.0787438i
\(306\) 9.99678 + 5.84796i 0.571478 + 0.334305i
\(307\) −7.67912 2.05761i −0.438271 0.117434i 0.0329353 0.999457i \(-0.489514\pi\)
−0.471206 + 0.882023i \(0.656181\pi\)
\(308\) −0.946831 3.53362i −0.0539507 0.201347i
\(309\) 19.8902 19.7771i 1.13152 1.12508i
\(310\) 4.28837 + 2.20176i 0.243563 + 0.125052i
\(311\) 16.5280i 0.937218i −0.883406 0.468609i \(-0.844755\pi\)
0.883406 0.468609i \(-0.155245\pi\)
\(312\) −1.94485 1.13027i −0.110105 0.0639888i
\(313\) 8.48763 2.27425i 0.479749 0.128548i −0.0108367 0.999941i \(-0.503449\pi\)
0.490586 + 0.871393i \(0.336783\pi\)
\(314\) 1.79652 3.11166i 0.101383 0.175601i
\(315\) 13.1466 + 20.6393i 0.740726 + 1.16289i
\(316\) −14.7575 −0.830176
\(317\) 17.9486 4.80932i 1.00810 0.270118i 0.283262 0.959043i \(-0.408583\pi\)
0.724833 + 0.688924i \(0.241917\pi\)
\(318\) 0.0164450 5.76374i 0.000922188 0.323215i
\(319\) −2.47224 1.42735i −0.138419 0.0799162i
\(320\) −2.18576 0.471665i −0.122188 0.0263669i
\(321\) 15.6600 15.5709i 0.874055 0.869081i
\(322\) 13.0581 13.0581i 0.727699 0.727699i
\(323\) 15.6209 6.25784i 0.869168 0.348196i
\(324\) −7.74237 4.58866i −0.430131 0.254925i
\(325\) −6.40719 1.05545i −0.355407 0.0585460i
\(326\) −19.9114 + 11.4958i −1.10279 + 0.636696i
\(327\) −5.63447 9.82381i −0.311587 0.543258i
\(328\) 0.361188 1.34797i 0.0199433 0.0744293i
\(329\) 6.66789 11.5491i 0.367613 0.636724i
\(330\) 3.45015 + 1.78386i 0.189925 + 0.0981981i
\(331\) −4.88020 −0.268240 −0.134120 0.990965i \(-0.542821\pi\)
−0.134120 + 0.990965i \(0.542821\pi\)
\(332\) 7.99497 2.14225i 0.438781 0.117571i
\(333\) −12.7188 + 12.5745i −0.696988 + 0.689079i
\(334\) 19.1590i 1.04834i
\(335\) 34.3824 1.69532i 1.87851 0.0926255i
\(336\) 1.65270 6.09831i 0.0901622 0.332690i
\(337\) −3.99162 1.06955i −0.217438 0.0582622i 0.148456 0.988919i \(-0.452570\pi\)
−0.365893 + 0.930657i \(0.619236\pi\)
\(338\) −2.92811 10.9279i −0.159268 0.594397i
\(339\) −6.81304 6.85203i −0.370034 0.372151i
\(340\) −4.67916 7.25427i −0.253763 0.393418i
\(341\) 2.16197i 0.117077i
\(342\) −12.1664 + 4.79358i −0.657884 + 0.259207i
\(343\) 1.78771 + 1.78771i 0.0965273 + 0.0965273i
\(344\) 2.84553 + 4.92860i 0.153421 + 0.265732i
\(345\) 0.909709 + 19.5854i 0.0489771 + 1.05444i
\(346\) −6.40837 + 11.0996i −0.344516 + 0.596719i
\(347\) −2.75201 + 10.2707i −0.147736 + 0.551357i 0.851883 + 0.523733i \(0.175461\pi\)
−0.999618 + 0.0276246i \(0.991206\pi\)
\(348\) −2.45301 4.27688i −0.131495 0.229265i
\(349\) 4.52146i 0.242028i −0.992651 0.121014i \(-0.961385\pi\)
0.992651 0.121014i \(-0.0386147\pi\)
\(350\) −1.79433 18.1509i −0.0959107 0.970204i
\(351\) 1.69073 + 6.53306i 0.0902444 + 0.348709i
\(352\) −0.259557 0.968682i −0.0138345 0.0516309i
\(353\) −17.8842 + 17.8842i −0.951878 + 0.951878i −0.998894 0.0470159i \(-0.985029\pi\)
0.0470159 + 0.998894i \(0.485029\pi\)
\(354\) −5.74428 21.6853i −0.305305 1.15256i
\(355\) −8.74751 27.2080i −0.464270 1.44405i
\(356\) 8.87697 5.12512i 0.470478 0.271631i
\(357\) 21.1588 12.1357i 1.11984 0.642289i
\(358\) −6.36516 + 23.7551i −0.336409 + 1.25550i
\(359\) 13.4034 + 23.2154i 0.707407 + 1.22526i 0.965816 + 0.259229i \(0.0834683\pi\)
−0.258409 + 0.966035i \(0.583198\pi\)
\(360\) 3.60391 + 5.65790i 0.189943 + 0.298197i
\(361\) −5.34449 + 18.2328i −0.281289 + 0.959623i
\(362\) −15.1965 15.1965i −0.798709 0.798709i
\(363\) 0.0493900 17.3105i 0.00259230 0.908568i
\(364\) −4.10281 + 2.36876i −0.215046 + 0.124157i
\(365\) 0.488701 + 0.250912i 0.0255798 + 0.0131333i
\(366\) 1.12503 1.11863i 0.0588063 0.0584717i
\(367\) 4.96914 + 18.5451i 0.259387 + 0.968045i 0.965597 + 0.260043i \(0.0837367\pi\)
−0.706210 + 0.708002i \(0.749597\pi\)
\(368\) 3.57965 3.57965i 0.186602 0.186602i
\(369\) −3.63756 + 2.07256i −0.189364 + 0.107893i
\(370\) 12.6912 4.08028i 0.659784 0.212124i
\(371\) −10.5127 6.06953i −0.545794 0.315114i
\(372\) −1.87621 + 3.22839i −0.0972772 + 0.167384i
\(373\) −14.2502 14.2502i −0.737846 0.737846i 0.234314 0.972161i \(-0.424715\pi\)
−0.972161 + 0.234314i \(0.924715\pi\)
\(374\) 1.93578 3.35287i 0.100097 0.173373i
\(375\) 15.5273 + 11.5716i 0.801829 + 0.597554i
\(376\) 1.82789 3.16599i 0.0942661 0.163274i
\(377\) −0.956821 + 3.57090i −0.0492788 + 0.183911i
\(378\) −16.4959 + 9.33658i −0.848459 + 0.480222i
\(379\) 19.5499i 1.00421i 0.864806 + 0.502107i \(0.167441\pi\)
−0.864806 + 0.502107i \(0.832559\pi\)
\(380\) 9.70440 + 0.908061i 0.497825 + 0.0465826i
\(381\) −15.5091 + 4.10826i −0.794556 + 0.210473i
\(382\) −11.9843 3.21118i −0.613169 0.164298i
\(383\) 9.47939 + 2.54000i 0.484374 + 0.129788i 0.492739 0.870177i \(-0.335996\pi\)
−0.00836437 + 0.999965i \(0.502662\pi\)
\(384\) 0.453059 1.67175i 0.0231201 0.0853110i
\(385\) 6.87419 4.43400i 0.350341 0.225977i
\(386\) −0.216963 0.125264i −0.0110431 0.00637576i
\(387\) 4.51290 16.4659i 0.229403 0.837011i
\(388\) 6.20608 + 6.20608i 0.315066 + 0.315066i
\(389\) −15.5929 + 27.0077i −0.790592 + 1.36935i 0.135009 + 0.990844i \(0.456894\pi\)
−0.925601 + 0.378501i \(0.876440\pi\)
\(390\) 1.07500 4.91366i 0.0544348 0.248813i
\(391\) 19.5436 0.988361
\(392\) −4.45968 4.45968i −0.225248 0.225248i
\(393\) −4.20682 7.33467i −0.212206 0.369985i
\(394\) 3.60081 2.07893i 0.181406 0.104735i
\(395\) −10.1001 31.4151i −0.508192 1.58067i
\(396\) −1.51912 + 2.59686i −0.0763388 + 0.130497i
\(397\) −10.5464 2.82590i −0.529308 0.141828i −0.0157393 0.999876i \(-0.505010\pi\)
−0.513569 + 0.858048i \(0.671677\pi\)
\(398\) −13.1820 + 13.1820i −0.660756 + 0.660756i
\(399\) −3.99093 + 27.2501i −0.199796 + 1.36421i
\(400\) −0.491883 4.97575i −0.0245942 0.248787i
\(401\) −7.77240 + 4.48740i −0.388135 + 0.224090i −0.681352 0.731956i \(-0.738608\pi\)
0.293217 + 0.956046i \(0.405274\pi\)
\(402\) −0.0760792 + 26.6647i −0.00379449 + 1.32992i
\(403\) 2.70438 0.724637i 0.134715 0.0360968i
\(404\) 6.30906 + 10.9276i 0.313888 + 0.543669i
\(405\) 4.46921 19.6221i 0.222077 0.975029i
\(406\) −10.3839 −0.515346
\(407\) 4.22765 + 4.22765i 0.209557 + 0.209557i
\(408\) 5.80033 3.32679i 0.287159 0.164701i
\(409\) −25.2024 14.5506i −1.24618 0.719482i −0.275834 0.961205i \(-0.588954\pi\)
−0.970345 + 0.241724i \(0.922287\pi\)
\(410\) 3.11670 0.153678i 0.153923 0.00758961i
\(411\) 4.33178 + 16.3529i 0.213671 + 0.806630i
\(412\) −4.19136 15.6424i −0.206493 0.770644i
\(413\) −45.6366 12.2283i −2.24563 0.601714i
\(414\) −15.1869 0.0866626i −0.746396 0.00425924i
\(415\) 10.0321 + 15.5532i 0.492457 + 0.763474i
\(416\) −1.12471 + 0.649354i −0.0551437 + 0.0318372i
\(417\) 10.4306 17.9479i 0.510790 0.878914i
\(418\) 1.62560 + 4.05783i 0.0795107 + 0.198475i
\(419\) −16.1638 −0.789651 −0.394826 0.918756i \(-0.629195\pi\)
−0.394826 + 0.918756i \(0.629195\pi\)
\(420\) 14.1129 0.655520i 0.688640 0.0319861i
\(421\) −8.55942 14.8253i −0.417161 0.722543i 0.578492 0.815688i \(-0.303641\pi\)
−0.995653 + 0.0931447i \(0.970308\pi\)
\(422\) 21.3745 5.72727i 1.04049 0.278799i
\(423\) −10.6096 + 2.77806i −0.515859 + 0.135074i
\(424\) −2.88188 1.66386i −0.139957 0.0808040i
\(425\) 12.2401 14.9256i 0.593733 0.723999i
\(426\) 21.3996 5.66862i 1.03682 0.274646i
\(427\) −0.864806 3.22750i −0.0418509 0.156190i
\(428\) −3.29994 12.3155i −0.159509 0.595294i
\(429\) 2.18064 0.577637i 0.105282 0.0278886i
\(430\) −8.54428 + 9.43059i −0.412042 + 0.454783i
\(431\) 24.6924 + 14.2562i 1.18939 + 0.686697i 0.958169 0.286204i \(-0.0923935\pi\)
0.231225 + 0.972900i \(0.425727\pi\)
\(432\) −4.52207 + 2.55946i −0.217568 + 0.123142i
\(433\) 23.8901 6.40132i 1.14808 0.307628i 0.365886 0.930660i \(-0.380766\pi\)
0.782197 + 0.623032i \(0.214099\pi\)
\(434\) 3.93208 + 6.81055i 0.188746 + 0.326917i
\(435\) 7.42557 8.14898i 0.356029 0.390714i
\(436\) −6.53846 −0.313135
\(437\) −13.6366 + 17.3486i −0.652325 + 0.829894i
\(438\) −0.213813 + 0.367906i −0.0102164 + 0.0175793i
\(439\) −18.0042 + 10.3948i −0.859296 + 0.496115i −0.863776 0.503875i \(-0.831907\pi\)
0.00448059 + 0.999990i \(0.498574\pi\)
\(440\) 1.88444 1.21550i 0.0898372 0.0579469i
\(441\) −0.107968 + 18.9205i −0.00514133 + 0.900976i
\(442\) −4.84288 1.29765i −0.230352 0.0617227i
\(443\) −6.36624 23.7591i −0.302469 1.12883i −0.935102 0.354378i \(-0.884693\pi\)
0.632633 0.774451i \(-0.281974\pi\)
\(444\) 2.64413 + 9.98187i 0.125485 + 0.473718i
\(445\) 16.9856 + 15.3892i 0.805193 + 0.729519i
\(446\) −8.04295 4.64360i −0.380845 0.219881i
\(447\) −24.7722 + 14.2082i −1.17169 + 0.672024i
\(448\) −2.57943 2.57943i −0.121867 0.121867i
\(449\) −16.5014 −0.778748 −0.389374 0.921080i \(-0.627309\pi\)
−0.389374 + 0.921080i \(0.627309\pi\)
\(450\) −9.57774 + 11.5441i −0.451499 + 0.544195i
\(451\) 0.699752 + 1.21201i 0.0329500 + 0.0570711i
\(452\) −5.38867 + 1.44389i −0.253462 + 0.0679149i
\(453\) −0.0195009 + 6.83480i −0.000916232 + 0.321127i
\(454\) 19.3604 11.1777i 0.908629 0.524597i
\(455\) −7.85048 7.11268i −0.368036 0.333448i
\(456\) −1.09404 + 7.47015i −0.0512333 + 0.349822i
\(457\) −14.3251 + 14.3251i −0.670100 + 0.670100i −0.957739 0.287639i \(-0.907130\pi\)
0.287639 + 0.957739i \(0.407130\pi\)
\(458\) 1.23101 + 0.329849i 0.0575214 + 0.0154128i
\(459\) −19.3313 5.35756i −0.902308 0.250070i
\(460\) 10.0701 + 5.17026i 0.469522 + 0.241065i
\(461\) −27.5546 + 15.9086i −1.28334 + 0.740939i −0.977458 0.211129i \(-0.932286\pi\)
−0.305886 + 0.952068i \(0.598953\pi\)
\(462\) 3.15249 + 5.49643i 0.146667 + 0.255717i
\(463\) −21.0915 21.0915i −0.980204 0.980204i 0.0196042 0.999808i \(-0.493759\pi\)
−0.999808 + 0.0196042i \(0.993759\pi\)
\(464\) −2.84658 −0.132149
\(465\) −8.15654 1.78447i −0.378250 0.0827529i
\(466\) −12.8646 + 22.2821i −0.595941 + 1.03220i
\(467\) −19.0082 19.0082i −0.879595 0.879595i 0.113897 0.993493i \(-0.463667\pi\)
−0.993493 + 0.113897i \(0.963667\pi\)
\(468\) 3.75755 + 1.02985i 0.173693 + 0.0476048i
\(469\) 48.6349 + 28.0794i 2.24575 + 1.29658i
\(470\) 7.99063 + 1.72430i 0.368580 + 0.0795360i
\(471\) −1.62786 + 6.00664i −0.0750077 + 0.276771i
\(472\) −12.5105 3.35217i −0.575841 0.154296i
\(473\) −5.51282 1.47716i −0.253480 0.0679197i
\(474\) 24.7086 6.54515i 1.13490 0.300629i
\(475\) 4.70870 + 21.2798i 0.216050 + 0.976382i
\(476\) 14.0828i 0.645482i
\(477\) 2.52876 + 9.65756i 0.115784 + 0.442189i
\(478\) 0.962566 3.59234i 0.0440267 0.164310i
\(479\) −15.4307 + 26.7268i −0.705047 + 1.22118i 0.261628 + 0.965169i \(0.415741\pi\)
−0.966675 + 0.256008i \(0.917593\pi\)
\(480\) 3.86881 0.179699i 0.176586 0.00820212i
\(481\) 3.87132 6.70532i 0.176517 0.305736i
\(482\) 11.5925 + 11.5925i 0.528023 + 0.528023i
\(483\) −16.0718 + 27.6546i −0.731292 + 1.25833i
\(484\) −8.65531 4.99714i −0.393423 0.227143i
\(485\) −8.96374 + 17.4587i −0.407022 + 0.792757i
\(486\) 14.9982 + 4.24898i 0.680332 + 0.192738i
\(487\) −22.7763 + 22.7763i −1.03209 + 1.03209i −0.0326266 + 0.999468i \(0.510387\pi\)
−0.999468 + 0.0326266i \(0.989613\pi\)
\(488\) −0.237072 0.884764i −0.0107317 0.0400514i
\(489\) 28.2392 28.0785i 1.27702 1.26975i
\(490\) 6.44133 12.5458i 0.290990 0.566760i
\(491\) −31.3455 + 18.0973i −1.41460 + 0.816721i −0.995818 0.0913644i \(-0.970877\pi\)
−0.418785 + 0.908085i \(0.637544\pi\)
\(492\) −0.00689643 + 2.41711i −0.000310915 + 0.108972i
\(493\) −7.77063 7.77063i −0.349972 0.349972i
\(494\) 4.53103 3.39352i 0.203861 0.152682i
\(495\) −6.56777 1.45653i −0.295199 0.0654663i
\(496\) 1.07791 + 1.86700i 0.0483996 + 0.0838306i
\(497\) 12.0672 45.0354i 0.541288 2.02012i
\(498\) −12.4359 + 7.13264i −0.557266 + 0.319621i
\(499\) −4.97753 + 2.87378i −0.222825 + 0.128648i −0.607258 0.794505i \(-0.707730\pi\)
0.384433 + 0.923153i \(0.374397\pi\)
\(500\) 10.2555 4.45252i 0.458639 0.199123i
\(501\) −8.49728 32.0781i −0.379630 1.43314i
\(502\) 6.37641 6.37641i 0.284593 0.284593i
\(503\) 2.83189 + 10.5688i 0.126268 + 0.471238i 0.999882 0.0153817i \(-0.00489634\pi\)
−0.873614 + 0.486620i \(0.838230\pi\)
\(504\) −0.0624476 + 10.9434i −0.00278164 + 0.487459i
\(505\) −18.9442 + 20.9093i −0.843008 + 0.930453i
\(506\) 5.07683i 0.225693i
\(507\) 9.74920 + 16.9979i 0.432977 + 0.754904i
\(508\) −2.39744 + 8.94739i −0.106369 + 0.396976i
\(509\) −18.0493 + 31.2623i −0.800020 + 1.38568i 0.119582 + 0.992824i \(0.461844\pi\)
−0.919602 + 0.392851i \(0.871489\pi\)
\(510\) 11.0517 + 10.0706i 0.489377 + 0.445934i
\(511\) 0.448098 + 0.776128i 0.0198227 + 0.0343339i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) 18.2443 13.4219i 0.805504 0.592590i
\(514\) 21.5899i 0.952290i
\(515\) 30.4301 19.6281i 1.34091 0.864916i
\(516\) −6.95018 6.98995i −0.305965 0.307716i
\(517\) 0.948883 + 3.54128i 0.0417318 + 0.155745i
\(518\) 21.0068 + 5.62876i 0.922986 + 0.247313i
\(519\) 5.80674 21.4263i 0.254888 0.940512i
\(520\) −2.15207 1.94982i −0.0943747 0.0855052i
\(521\) 16.7535i 0.733984i 0.930224 + 0.366992i \(0.119612\pi\)
−0.930224 + 0.366992i \(0.880388\pi\)
\(522\) 6.00394 + 6.07286i 0.262785 + 0.265802i
\(523\) −0.0599115 + 0.0160532i −0.00261974 + 0.000701959i −0.260129 0.965574i \(-0.583765\pi\)
0.257509 + 0.966276i \(0.417098\pi\)
\(524\) −4.88176 −0.213261
\(525\) 11.0544 + 29.5943i 0.482453 + 1.29160i
\(526\) −9.44274 + 16.3553i −0.411723 + 0.713125i
\(527\) −2.15406 + 8.03906i −0.0938323 + 0.350187i
\(528\) 0.864201 + 1.50675i 0.0376095 + 0.0655729i
\(529\) −2.27573 + 1.31389i −0.0989449 + 0.0571258i
\(530\) 1.56956 7.27357i 0.0681775 0.315944i
\(531\) 19.2354 + 33.7601i 0.834744 + 1.46506i
\(532\) 12.5011 + 9.82626i 0.541989 + 0.426022i
\(533\) 1.28154 1.28154i 0.0555098 0.0555098i
\(534\) −12.5897 + 12.5181i −0.544810 + 0.541710i
\(535\) 23.9583 15.4536i 1.03581 0.668116i
\(536\) 13.3324 + 7.69748i 0.575873 + 0.332480i
\(537\) 0.121535 42.5963i 0.00524462 1.83817i
\(538\) 1.76946 0.474125i 0.0762868 0.0204410i
\(539\) 6.32493 0.272434
\(540\) −8.54339 7.87467i −0.367649 0.338872i
\(541\) 17.7682 30.7754i 0.763914 1.32314i −0.176905 0.984228i \(-0.556609\pi\)
0.940819 0.338910i \(-0.110058\pi\)
\(542\) 30.6756 8.21950i 1.31763 0.353058i
\(543\) 32.1833 + 18.7037i 1.38112 + 0.802652i
\(544\) 3.86054i 0.165519i
\(545\) −4.47495 13.9188i −0.191686 0.596215i
\(546\) 5.81878 5.78567i 0.249021 0.247604i
\(547\) 7.81708 + 29.1738i 0.334234 + 1.24738i 0.904697 + 0.426056i \(0.140097\pi\)
−0.570463 + 0.821324i \(0.693236\pi\)
\(548\) 9.43419 + 2.52788i 0.403008 + 0.107986i
\(549\) −1.38752 + 2.37189i −0.0592179 + 0.101230i
\(550\) 3.87723 + 3.17962i 0.165326 + 0.135579i
\(551\) 12.3198 1.47591i 0.524843 0.0628758i
\(552\) −4.40581 + 7.58104i −0.187524 + 0.322671i
\(553\) 13.9331 51.9992i 0.592497 2.21123i
\(554\) 1.77397 + 3.07260i 0.0753686 + 0.130542i
\(555\) −19.4393 + 12.4603i −0.825151 + 0.528912i
\(556\) −5.99254 10.3794i −0.254140 0.440184i
\(557\) −31.1885 + 8.35693i −1.32150 + 0.354095i −0.849539 0.527525i \(-0.823120\pi\)
−0.471960 + 0.881620i \(0.656453\pi\)
\(558\) 1.70952 6.23744i 0.0723699 0.264052i
\(559\) 7.39103i 0.312607i
\(560\) 3.72560 7.25635i 0.157435 0.306637i
\(561\) −1.75405 + 6.47226i −0.0740559 + 0.273259i
\(562\) 3.72577 3.72577i 0.157162 0.157162i
\(563\) 14.2598 14.2598i 0.600980 0.600980i −0.339593 0.940573i \(-0.610289\pi\)
0.940573 + 0.339593i \(0.110289\pi\)
\(564\) −1.65628 + 6.11153i −0.0697421 + 0.257342i
\(565\) −6.76172 10.4829i −0.284468 0.441021i
\(566\) −2.77997 1.60502i −0.116851 0.0674638i
\(567\) 23.4783 22.9484i 0.985996 0.963744i
\(568\) 3.30802 12.3457i 0.138801 0.518014i
\(569\) 27.3079 1.14481 0.572403 0.819972i \(-0.306011\pi\)
0.572403 + 0.819972i \(0.306011\pi\)
\(570\) −16.6509 + 2.78365i −0.697428 + 0.116594i
\(571\) −41.8367 −1.75081 −0.875405 0.483391i \(-0.839405\pi\)
−0.875405 + 0.483391i \(0.839405\pi\)
\(572\) 0.337089 1.25803i 0.0140944 0.0526011i
\(573\) 21.4895 + 0.0613134i 0.897738 + 0.00256141i
\(574\) 4.40866 + 2.54534i 0.184014 + 0.106240i
\(575\) −4.11418 + 24.9754i −0.171573 + 1.04154i
\(576\) −0.0171189 + 2.99995i −0.000713288 + 0.124998i
\(577\) −15.4858 + 15.4858i −0.644681 + 0.644681i −0.951703 0.307021i \(-0.900668\pi\)
0.307021 + 0.951703i \(0.400668\pi\)
\(578\) −1.48224 + 1.48224i −0.0616530 + 0.0616530i
\(579\) 0.418819 + 0.113504i 0.0174055 + 0.00471706i
\(580\) −1.94821 6.05966i −0.0808950 0.251614i
\(581\) 30.1934i 1.25263i
\(582\) −13.1433 7.63839i −0.544809 0.316621i
\(583\) 3.22349 0.863732i 0.133503 0.0357721i
\(584\) 0.122838 + 0.212762i 0.00508309 + 0.00880416i
\(585\) 0.379389 + 8.70374i 0.0156858 + 0.359855i
\(586\) 0.527196 + 0.913131i 0.0217783 + 0.0377211i
\(587\) 7.96209 29.7149i 0.328631 1.22647i −0.581981 0.813203i \(-0.697722\pi\)
0.910611 0.413264i \(-0.135611\pi\)
\(588\) 9.44478 + 5.48894i 0.389496 + 0.226360i
\(589\) −5.63316 7.52139i −0.232110 0.309913i
\(590\) −1.42628 28.9260i −0.0587190 1.19086i
\(591\) −5.10683 + 5.07777i −0.210067 + 0.208872i
\(592\) 5.75865 + 1.54303i 0.236679 + 0.0634180i
\(593\) −2.73035 10.1898i −0.112122 0.418444i 0.886934 0.461897i \(-0.152831\pi\)
−0.999055 + 0.0434524i \(0.986164\pi\)
\(594\) 1.39173 5.02169i 0.0571035 0.206042i
\(595\) 29.9787 9.63830i 1.22901 0.395132i
\(596\) 16.4877i 0.675364i
\(597\) 16.2243 27.9171i 0.664018 1.14257i
\(598\) 6.35055 1.70162i 0.259693 0.0695846i
\(599\) 4.93118 8.54106i 0.201483 0.348978i −0.747524 0.664235i \(-0.768757\pi\)
0.949006 + 0.315257i \(0.102091\pi\)
\(600\) 3.03037 + 8.11276i 0.123714 + 0.331202i
\(601\) −0.236940 −0.00966499 −0.00483250 0.999988i \(-0.501538\pi\)
−0.00483250 + 0.999988i \(0.501538\pi\)
\(602\) −20.0528 + 5.37314i −0.817293 + 0.218993i
\(603\) −11.6988 44.6786i −0.476410 1.81945i
\(604\) 3.41742 + 1.97305i 0.139053 + 0.0802821i
\(605\) 4.71395 21.8451i 0.191650 0.888129i
\(606\) −15.4098 15.4980i −0.625981 0.629564i
\(607\) 8.95827 8.95827i 0.363605 0.363605i −0.501533 0.865138i \(-0.667231\pi\)
0.865138 + 0.501533i \(0.167231\pi\)
\(608\) 3.42695 + 2.69370i 0.138981 + 0.109244i
\(609\) 17.3859 4.60540i 0.704511 0.186620i
\(610\) 1.72119 1.11020i 0.0696890 0.0449508i
\(611\) 4.11170 2.37389i 0.166342 0.0960374i
\(612\) −8.23605 + 8.14259i −0.332923 + 0.329144i
\(613\) −11.0267 + 41.1521i −0.445364 + 1.66212i 0.269611 + 0.962969i \(0.413105\pi\)
−0.714975 + 0.699150i \(0.753562\pi\)
\(614\) 3.97501 6.88491i 0.160418 0.277852i
\(615\) −5.15014 + 1.63960i −0.207674 + 0.0661150i
\(616\) 3.65827 0.147396
\(617\) 41.3650 11.0837i 1.66529 0.446214i 0.701457 0.712712i \(-0.252533\pi\)
0.963836 + 0.266498i \(0.0858665\pi\)
\(618\) 13.9552 + 24.3312i 0.561360 + 0.978743i
\(619\) 40.5223i 1.62873i −0.580353 0.814365i \(-0.697086\pi\)
0.580353 0.814365i \(-0.302914\pi\)
\(620\) −3.23665 + 3.57239i −0.129987 + 0.143470i
\(621\) 25.4660 6.59049i 1.02191 0.264467i
\(622\) 15.9648 + 4.27777i 0.640132 + 0.171523i
\(623\) 9.67764 + 36.1174i 0.387726 + 1.44701i
\(624\) 1.59512 1.58604i 0.0638558 0.0634925i
\(625\) 16.4972 + 18.7841i 0.659889 + 0.751363i
\(626\) 8.78704i 0.351201i
\(627\) −4.52145 6.07307i −0.180569 0.242535i
\(628\) 2.54066 + 2.54066i 0.101383 + 0.101383i
\(629\) 11.5079 + 19.9323i 0.458850 + 0.794751i
\(630\) −23.3386 + 7.35679i −0.929832 + 0.293102i
\(631\) 3.26416 5.65370i 0.129944 0.225070i −0.793710 0.608296i \(-0.791853\pi\)
0.923655 + 0.383226i \(0.125187\pi\)
\(632\) 3.81953 14.2547i 0.151933 0.567021i
\(633\) −33.2473 + 19.0690i −1.32146 + 0.757927i
\(634\) 18.5818i 0.737977i
\(635\) −20.6876 + 1.02006i −0.820962 + 0.0404799i
\(636\) 5.56309 + 1.50765i 0.220591 + 0.0597822i
\(637\) −2.11995 7.91177i −0.0839956 0.313476i
\(638\) 2.01858 2.01858i 0.0799162 0.0799162i
\(639\) −33.3154 + 18.9820i −1.31794 + 0.750916i
\(640\) 1.02131 1.98920i 0.0403708 0.0786302i
\(641\) 0.267937 0.154693i 0.0105829 0.00611002i −0.494699 0.869064i \(-0.664722\pi\)
0.505282 + 0.862954i \(0.331388\pi\)
\(642\) 10.9872 + 19.1564i 0.433630 + 0.756043i
\(643\) −12.4148 + 46.3327i −0.489593 + 1.82718i 0.0688306 + 0.997628i \(0.478073\pi\)
−0.558423 + 0.829556i \(0.688593\pi\)
\(644\) 9.23346 + 15.9928i 0.363849 + 0.630206i
\(645\) 10.1232 19.5792i 0.398599 0.770929i
\(646\) 2.00163 + 16.7083i 0.0787533 + 0.657377i
\(647\) 2.84803 + 2.84803i 0.111967 + 0.111967i 0.760871 0.648903i \(-0.224772\pi\)
−0.648903 + 0.760871i \(0.724772\pi\)
\(648\) 6.43617 6.29092i 0.252837 0.247131i
\(649\) 11.2486 6.49438i 0.441546 0.254927i
\(650\) 2.67779 5.91570i 0.105032 0.232033i
\(651\) −9.60406 9.65902i −0.376413 0.378567i
\(652\) −5.95068 22.2083i −0.233047 0.869742i
\(653\) −13.6912 + 13.6912i −0.535778 + 0.535778i −0.922286 0.386508i \(-0.873681\pi\)
0.386508 + 0.922286i \(0.373681\pi\)
\(654\) 10.9474 2.89989i 0.428076 0.113395i
\(655\) −3.34110 10.3921i −0.130548 0.406052i
\(656\) 1.20856 + 0.697761i 0.0471863 + 0.0272430i
\(657\) 0.194817 0.710816i 0.00760052 0.0277316i
\(658\) 9.42982 + 9.42982i 0.367613 + 0.367613i
\(659\) 9.22808 15.9835i 0.359475 0.622629i −0.628398 0.777892i \(-0.716289\pi\)
0.987873 + 0.155263i \(0.0496224\pi\)
\(660\) −2.61604 + 2.87090i −0.101829 + 0.111750i
\(661\) −12.0330 + 20.8418i −0.468030 + 0.810652i −0.999333 0.0365302i \(-0.988369\pi\)
0.531302 + 0.847182i \(0.321703\pi\)
\(662\) 1.26309 4.71391i 0.0490913 0.183211i
\(663\) 8.68398 + 0.0247769i 0.337258 + 0.000962257i
\(664\) 8.27700i 0.321210i
\(665\) −12.3619 + 33.3368i −0.479374 + 1.29275i
\(666\) −8.85416 15.5400i −0.343092 0.602162i
\(667\) 13.9195 + 3.72971i 0.538963 + 0.144415i
\(668\) −18.5062 4.95873i −0.716027 0.191859i
\(669\) 15.5258 + 4.20765i 0.600264 + 0.162677i
\(670\) −7.26126 + 33.6496i −0.280527 + 1.30000i
\(671\) 0.795520 + 0.459294i 0.0307107 + 0.0177308i
\(672\) 5.46277 + 3.17474i 0.210731 + 0.122468i
\(673\) 11.1013 + 11.1013i 0.427923 + 0.427923i 0.887920 0.459997i \(-0.152150\pi\)
−0.459997 + 0.887920i \(0.652150\pi\)
\(674\) 2.06622 3.57879i 0.0795877 0.137850i
\(675\) 10.9161 23.5762i 0.420161 0.907450i
\(676\) 11.3134 0.435129
\(677\) −21.7544 21.7544i −0.836089 0.836089i 0.152253 0.988342i \(-0.451347\pi\)
−0.988342 + 0.152253i \(0.951347\pi\)
\(678\) 8.38190 4.80746i 0.321905 0.184629i
\(679\) −27.7269 + 16.0081i −1.06406 + 0.614336i
\(680\) 8.21815 2.64217i 0.315151 0.101323i
\(681\) −27.4578 + 27.3015i −1.05218 + 1.04620i
\(682\) −2.08830 0.559559i −0.0799653 0.0214266i
\(683\) −13.0263 + 13.0263i −0.498438 + 0.498438i −0.910951 0.412513i \(-0.864651\pi\)
0.412513 + 0.910951i \(0.364651\pi\)
\(684\) −1.48134 12.9925i −0.0566405 0.496782i
\(685\) 1.07556 + 21.8131i 0.0410951 + 0.833438i
\(686\) −2.18949 + 1.26410i −0.0835951 + 0.0482637i
\(687\) −2.20738 0.00629805i −0.0842169 0.000240286i
\(688\) −5.49714 + 1.47295i −0.209577 + 0.0561559i
\(689\) −2.16086 3.74273i −0.0823223 0.142586i
\(690\) −19.1535 4.19037i −0.729162 0.159525i
\(691\) 27.7036 1.05390 0.526948 0.849898i \(-0.323336\pi\)
0.526948 + 0.849898i \(0.323336\pi\)
\(692\) −9.06281 9.06281i −0.344516 0.344516i
\(693\) −7.71596 7.80453i −0.293105 0.296470i
\(694\) −9.20841 5.31648i −0.349547 0.201811i
\(695\) 17.9938 19.8603i 0.682545 0.753345i
\(696\) 4.76604 1.26249i 0.180656 0.0478546i
\(697\) 1.39438 + 5.20390i 0.0528160 + 0.197112i
\(698\) 4.36740 + 1.17024i 0.165308 + 0.0442943i
\(699\) 11.6569 43.0127i 0.440903 1.62689i
\(700\) 17.9968 + 2.96460i 0.680215 + 0.112051i
\(701\) −8.89766 + 5.13707i −0.336060 + 0.194024i −0.658528 0.752556i \(-0.728821\pi\)
0.322468 + 0.946580i \(0.395487\pi\)
\(702\) −6.74804 0.0577613i −0.254688 0.00218006i
\(703\) −25.7232 3.69237i −0.970170 0.139260i
\(704\) 1.00285 0.0377964
\(705\) −14.1435 + 0.656940i −0.532675 + 0.0247418i
\(706\) −12.6460 21.9035i −0.475939 0.824351i
\(707\) −44.4608 + 11.9132i −1.67212 + 0.448044i
\(708\) 22.4331 + 0.0640056i 0.843087 + 0.00240548i
\(709\) −24.4919 14.1404i −0.919813 0.531054i −0.0362378 0.999343i \(-0.511537\pi\)
−0.883575 + 0.468289i \(0.844871\pi\)
\(710\) 28.5450 1.40749i 1.07127 0.0528223i
\(711\) −38.4669 + 21.9171i −1.44262 + 0.821957i
\(712\) 2.65296 + 9.90097i 0.0994238 + 0.371055i
\(713\) −2.82465 10.5417i −0.105784 0.394791i
\(714\) 6.24588 + 23.5788i 0.233746 + 0.882415i
\(715\) 2.90875 0.143425i 0.108781 0.00536377i
\(716\) −21.2983 12.2966i −0.795953 0.459544i
\(717\) −0.0183790 + 6.44159i −0.000686376 + 0.240566i
\(718\) −25.8935 + 6.93813i −0.966335 + 0.258929i
\(719\) −3.33293 5.77281i −0.124297 0.215289i 0.797161 0.603767i \(-0.206334\pi\)
−0.921458 + 0.388478i \(0.873001\pi\)
\(720\) −6.39787 + 2.01674i −0.238435 + 0.0751594i
\(721\) 59.0742 2.20004
\(722\) −16.2283 9.88139i −0.603955 0.367747i
\(723\) −24.5508 14.2679i −0.913053 0.530630i
\(724\) 18.6118 10.7455i 0.691702 0.399354i
\(725\) 11.5662 8.29451i 0.429556 0.308051i
\(726\) 16.7079 + 4.52800i 0.620089 + 0.168050i
\(727\) −2.36732 0.634322i −0.0877991 0.0235257i 0.214652 0.976691i \(-0.431138\pi\)
−0.302451 + 0.953165i \(0.597805\pi\)
\(728\) −1.22616 4.57609i −0.0454445 0.169601i
\(729\) −26.9960 0.462191i −0.999853 0.0171182i
\(730\) −0.368847 + 0.407108i −0.0136516 + 0.0150677i
\(731\) −19.0271 10.9853i −0.703742 0.406306i
\(732\) 0.789334 + 1.37622i 0.0291746 + 0.0508665i
\(733\) −7.33673 7.33673i −0.270988 0.270988i 0.558510 0.829498i \(-0.311373\pi\)
−0.829498 + 0.558510i \(0.811373\pi\)
\(734\) −19.1993 −0.708658
\(735\) −5.22054 + 23.8623i −0.192563 + 0.880173i
\(736\) 2.53119 + 4.38416i 0.0933011 + 0.161602i
\(737\) −14.9128 + 3.99587i −0.549320 + 0.147190i
\(738\) −1.06047 4.05003i −0.0390365 0.149084i
\(739\) 16.0448 9.26344i 0.590216 0.340761i −0.174967 0.984574i \(-0.555982\pi\)
0.765183 + 0.643813i \(0.222649\pi\)
\(740\) 0.656526 + 13.3148i 0.0241344 + 0.489462i
\(741\) −6.08126 + 7.69136i −0.223401 + 0.282549i
\(742\) 8.58361 8.58361i 0.315114 0.315114i
\(743\) −22.1069 5.92353i −0.811024 0.217313i −0.170606 0.985339i \(-0.554572\pi\)
−0.640419 + 0.768026i \(0.721239\pi\)
\(744\) −2.63279 2.64785i −0.0965227 0.0970750i
\(745\) −35.0983 + 11.2843i −1.28590 + 0.413424i
\(746\) 17.4528 10.0764i 0.638994 0.368923i
\(747\) 17.6581 17.4577i 0.646075 0.638744i
\(748\) 2.73760 + 2.73760i 0.100097 + 0.100097i
\(749\) 46.5103 1.69945
\(750\) −15.1961 + 12.0033i −0.554882 + 0.438299i
\(751\) 9.50744 16.4674i 0.346931 0.600903i −0.638771 0.769397i \(-0.720557\pi\)
0.985703 + 0.168494i \(0.0538903\pi\)
\(752\) 2.58502 + 2.58502i 0.0942661 + 0.0942661i
\(753\) −7.84804 + 13.5041i −0.285999 + 0.492116i
\(754\) −3.20159 1.84844i −0.116595 0.0673161i
\(755\) −1.86123 + 8.62520i −0.0677372 + 0.313903i
\(756\) −4.74899 18.3503i −0.172719 0.667395i
\(757\) 22.0388 + 5.90528i 0.801013 + 0.214631i 0.636029 0.771665i \(-0.280576\pi\)
0.164985 + 0.986296i \(0.447243\pi\)
\(758\) −18.8838 5.05990i −0.685890 0.183784i
\(759\) −2.25164 8.50016i −0.0817293 0.308536i
\(760\) −3.38880 + 9.13871i −0.122925 + 0.331496i
\(761\) 28.5250i 1.03403i 0.855976 + 0.517015i \(0.172957\pi\)
−0.855976 + 0.517015i \(0.827043\pi\)
\(762\) 0.0457762 16.0439i 0.00165830 0.581211i
\(763\) 6.17321 23.0387i 0.223485 0.834058i
\(764\) 6.20352 10.7448i 0.224435 0.388734i
\(765\) −22.9703 11.9597i −0.830495 0.432404i
\(766\) −4.90690 + 8.49899i −0.177293 + 0.307081i
\(767\) −11.8940 11.8940i −0.429466 0.429466i
\(768\) 1.49752 + 0.870302i 0.0540372 + 0.0314043i
\(769\) −30.7535 17.7555i −1.10900 0.640281i −0.170429 0.985370i \(-0.554515\pi\)
−0.938570 + 0.345089i \(0.887849\pi\)
\(770\) 2.50374 + 7.78756i 0.0902285 + 0.280644i
\(771\) −9.57539 36.1481i −0.344849 1.30184i
\(772\) 0.177150 0.177150i 0.00637576 0.00637576i
\(773\) 3.38083 + 12.6174i 0.121600 + 0.453817i 0.999696 0.0246677i \(-0.00785277\pi\)
−0.878096 + 0.478485i \(0.841186\pi\)
\(774\) 14.7369 + 8.62082i 0.529705 + 0.309869i
\(775\) −9.81991 4.44507i −0.352741 0.159671i
\(776\) −7.60086 + 4.38836i −0.272855 + 0.157533i
\(777\) −37.6682 0.107474i −1.35134 0.00385561i
\(778\) −22.0517 22.0517i −0.790592 0.790592i
\(779\) −5.59236 2.39326i −0.200367 0.0857474i
\(780\) 4.46800 + 2.31012i 0.159980 + 0.0827155i
\(781\) 6.40883 + 11.1004i 0.229326 + 0.397204i
\(782\) −5.05825 + 18.8776i −0.180883 + 0.675063i
\(783\) −12.7458 7.50499i −0.455498 0.268207i
\(784\) 5.46197 3.15347i 0.195070 0.112624i
\(785\) −3.66960 + 7.14727i −0.130974 + 0.255097i
\(786\) 8.17356 2.16512i 0.291541 0.0772273i
\(787\) 10.7682 10.7682i 0.383844 0.383844i −0.488641 0.872485i \(-0.662507\pi\)
0.872485 + 0.488641i \(0.162507\pi\)
\(788\) 1.07613 + 4.01619i 0.0383357 + 0.143071i
\(789\) 8.55624 31.5717i 0.304610 1.12398i
\(790\) 32.9588 1.62513i 1.17262 0.0578195i
\(791\) 20.3506i 0.723584i
\(792\) −2.11520 2.13948i −0.0751603 0.0760230i
\(793\) 0.307887 1.14905i 0.0109334 0.0408040i
\(794\) 5.45921 9.45563i 0.193740 0.335568i
\(795\) 0.597988 + 12.8743i 0.0212084 + 0.456604i
\(796\) −9.32111 16.1446i −0.330378 0.572231i
\(797\) 21.1984 + 21.1984i 0.750886 + 0.750886i 0.974645 0.223759i \(-0.0718328\pi\)
−0.223759 + 0.974645i \(0.571833\pi\)
\(798\) −25.2886 10.9078i −0.895208 0.386131i
\(799\) 14.1133i 0.499292i
\(800\) 4.93351 + 0.812695i 0.174426 + 0.0287331i
\(801\) 15.5271 26.5427i 0.548622 0.937842i
\(802\) −2.32285 8.66899i −0.0820226 0.306113i
\(803\) −0.237982 0.0637672i −0.00839822 0.00225030i
\(804\) −25.7365 6.97483i −0.907655 0.245983i
\(805\) −27.7254 + 30.6013i −0.977191 + 1.07856i
\(806\) 2.79978i 0.0986182i
\(807\) −2.75233 + 1.57861i −0.0968867 + 0.0555696i
\(808\) −12.1882 + 3.26581i −0.428778 + 0.114891i
\(809\) −12.4578 −0.437993 −0.218996 0.975726i \(-0.570278\pi\)
−0.218996 + 0.975726i \(0.570278\pi\)
\(810\) 17.7968 + 9.39550i 0.625314 + 0.330124i
\(811\) 25.9752 44.9905i 0.912114 1.57983i 0.101042 0.994882i \(-0.467782\pi\)
0.811072 0.584946i \(-0.198884\pi\)
\(812\) 2.68756 10.0301i 0.0943148 0.351988i
\(813\) −47.7148 + 27.3670i −1.67343 + 0.959801i
\(814\) −5.17780 + 2.98940i −0.181482 + 0.104779i
\(815\) 43.2032 27.8670i 1.51334 0.976137i
\(816\) 1.71220 + 6.46373i 0.0599390 + 0.226276i
\(817\) 23.0277 9.22506i 0.805636 0.322744i
\(818\) 20.5777 20.5777i 0.719482 0.719482i
\(819\) −7.17639 + 12.2677i −0.250763 + 0.428667i
\(820\) −0.658219 + 3.05027i −0.0229860 + 0.106520i
\(821\) 23.1639 + 13.3737i 0.808425 + 0.466744i 0.846409 0.532534i \(-0.178760\pi\)
−0.0379838 + 0.999278i \(0.512094\pi\)
\(822\) −16.9169 0.0482668i −0.590043 0.00168350i
\(823\) −8.37100 + 2.24300i −0.291795 + 0.0781862i −0.401747 0.915751i \(-0.631597\pi\)
0.109952 + 0.993937i \(0.464930\pi\)
\(824\) 16.1942 0.564151
\(825\) −7.90186 3.60405i −0.275107 0.125477i
\(826\) 23.6232 40.9166i 0.821957 1.42367i
\(827\) 35.8851 9.61539i 1.24785 0.334360i 0.426343 0.904562i \(-0.359802\pi\)
0.821505 + 0.570202i \(0.193135\pi\)
\(828\) 4.01437 14.6470i 0.139509 0.509019i
\(829\) 32.7355i 1.13695i −0.822700 0.568476i \(-0.807533\pi\)
0.822700 0.568476i \(-0.192467\pi\)
\(830\) −17.6197 + 5.66482i −0.611589 + 0.196629i
\(831\) −4.33290 4.35769i −0.150307 0.151167i
\(832\) −0.336130 1.25446i −0.0116532 0.0434904i
\(833\) 23.5186 + 6.30178i 0.814870 + 0.218344i
\(834\) 14.6367 + 14.7205i 0.506828 + 0.509729i
\(835\) −2.10983 42.7889i −0.0730138 1.48077i
\(836\) −4.34030 + 0.519964i −0.150112 + 0.0179833i
\(837\) −0.0958822 + 11.2016i −0.00331417 + 0.387183i
\(838\) 4.18349 15.6130i 0.144516 0.539342i
\(839\) −9.31491 16.1339i −0.321586 0.557004i 0.659229 0.751942i \(-0.270883\pi\)
−0.980816 + 0.194938i \(0.937549\pi\)
\(840\) −3.01951 + 13.8017i −0.104183 + 0.476204i
\(841\) 10.4485 + 18.0973i 0.360293 + 0.624046i
\(842\) 16.5355 4.43068i 0.569852 0.152691i
\(843\) −4.58564 + 7.89049i −0.157938 + 0.271763i
\(844\) 22.1285i 0.761694i
\(845\) 7.74291 + 24.0833i 0.266364 + 0.828492i
\(846\) 0.0625829 10.9671i 0.00215164 0.377058i
\(847\) 25.7796 25.7796i 0.885797 0.885797i
\(848\) 2.35305 2.35305i 0.0808040 0.0808040i
\(849\) 5.36636 + 1.45433i 0.184173 + 0.0499126i
\(850\) 11.2491 + 15.6861i 0.385840 + 0.538028i
\(851\) −26.1375 15.0905i −0.895981 0.517295i
\(852\) −0.0631625 + 22.1376i −0.00216391 + 0.758422i
\(853\) 5.15658 19.2446i 0.176558 0.658923i −0.819723 0.572760i \(-0.805873\pi\)
0.996281 0.0861632i \(-0.0274607\pi\)
\(854\) 3.34135 0.114339
\(855\) 26.6440 12.0455i 0.911207 0.411949i
\(856\) 12.7500 0.435786
\(857\) −8.41685 + 31.4121i −0.287514 + 1.07302i 0.659469 + 0.751732i \(0.270781\pi\)
−0.946983 + 0.321285i \(0.895885\pi\)
\(858\) −0.00643630 + 2.25584i −0.000219732 + 0.0770130i
\(859\) 22.3849 + 12.9239i 0.763764 + 0.440959i 0.830645 0.556802i \(-0.187972\pi\)
−0.0668818 + 0.997761i \(0.521305\pi\)
\(860\) −6.89782 10.6940i −0.235214 0.364661i
\(861\) −8.51033 2.30638i −0.290031 0.0786013i
\(862\) −20.1613 + 20.1613i −0.686697 + 0.686697i
\(863\) −33.4722 + 33.4722i −1.13941 + 1.13941i −0.150850 + 0.988557i \(0.548201\pi\)
−0.988557 + 0.150850i \(0.951799\pi\)
\(864\) −1.30185 5.03043i −0.0442900 0.171139i
\(865\) 13.0899 25.4951i 0.445068 0.866859i
\(866\) 24.7328i 0.840455i
\(867\) 1.82433 3.13911i 0.0619574 0.106610i
\(868\) −7.59619 + 2.03539i −0.257831 + 0.0690857i
\(869\) 7.39982 + 12.8169i 0.251022 + 0.434782i
\(870\) 5.94943 + 9.28166i 0.201705 + 0.314678i
\(871\) 9.99678 + 17.3149i 0.338728 + 0.586694i
\(872\) 1.69228 6.31567i 0.0573078 0.213876i
\(873\) 25.3937 + 6.95976i 0.859446 + 0.235552i
\(874\) −13.2280 17.6620i −0.447444 0.597427i
\(875\) 6.00618 + 40.3397i 0.203046 + 1.36373i
\(876\) −0.300032 0.301749i −0.0101371 0.0101951i
\(877\) −5.21808 1.39818i −0.176202 0.0472132i 0.169639 0.985506i \(-0.445740\pi\)
−0.345841 + 0.938293i \(0.612406\pi\)
\(878\) −5.38072 20.0811i −0.181591 0.677705i
\(879\) −1.28767 1.29504i −0.0434321 0.0436807i
\(880\) 0.686357 + 2.13483i 0.0231371 + 0.0719650i
\(881\) 0.534352i 0.0180028i −0.999959 0.00900140i \(-0.997135\pi\)
0.999959 0.00900140i \(-0.00286527\pi\)
\(882\) −18.2479 5.00127i −0.614437 0.168402i
\(883\) −7.67669 + 2.05696i −0.258341 + 0.0692223i −0.385665 0.922639i \(-0.626028\pi\)
0.127324 + 0.991861i \(0.459361\pi\)
\(884\) 2.50686 4.34201i 0.0843148 0.146038i
\(885\) 15.2171 + 47.7983i 0.511516 + 1.60672i
\(886\) 24.5972 0.826361
\(887\) −27.4644 + 7.35907i −0.922165 + 0.247093i −0.688511 0.725226i \(-0.741735\pi\)
−0.233655 + 0.972320i \(0.575068\pi\)
\(888\) −10.3261 0.0294622i −0.346521 0.000988686i
\(889\) −29.2632 16.8951i −0.981457 0.566644i
\(890\) −19.2610 + 12.4238i −0.645631 + 0.416445i
\(891\) −0.103005 + 9.02509i −0.00345079 + 0.302352i
\(892\) 6.56704 6.56704i 0.219881 0.219881i
\(893\) −12.5282 9.84756i −0.419239 0.329536i
\(894\) −7.31252 27.6055i −0.244567 0.923266i
\(895\) 11.5997 53.7546i 0.387735 1.79682i
\(896\) 3.15915 1.82393i 0.105540 0.0609333i
\(897\) −9.87806 + 5.66558i −0.329819 + 0.189168i
\(898\) 4.27087 15.9391i 0.142521 0.531895i
\(899\) −3.06835 + 5.31455i −0.102335 + 0.177250i
\(900\) −8.67187 12.2392i −0.289062 0.407974i
\(901\) 12.8468 0.427988
\(902\) −1.35182 + 0.362218i −0.0450106 + 0.0120606i
\(903\) 31.1915 17.8900i 1.03799 0.595341i
\(904\) 5.57876i 0.185547i
\(905\) 35.6126 + 32.2656i 1.18380 + 1.07255i
\(906\) −6.59687 1.78781i −0.219166 0.0593961i
\(907\) −2.19022 0.586868i −0.0727251 0.0194866i 0.222273 0.974984i \(-0.428652\pi\)
−0.294998 + 0.955498i \(0.595319\pi\)
\(908\) 5.78602 + 21.5937i 0.192016 + 0.716613i
\(909\) 32.6743 + 19.1139i 1.08374 + 0.633969i
\(910\) 8.90218 5.74209i 0.295104 0.190348i
\(911\) 31.6155i 1.04747i −0.851882 0.523734i \(-0.824538\pi\)
0.851882 0.523734i \(-0.175462\pi\)
\(912\) −6.93245 2.99018i −0.229556 0.0990148i
\(913\) −5.86942 5.86942i −0.194250 0.194250i
\(914\) −10.1294 17.5446i −0.335050 0.580323i
\(915\) −2.38941 + 2.62219i −0.0789914 + 0.0866869i
\(916\) −0.637219 + 1.10370i −0.0210543 + 0.0364671i
\(917\) 4.60905 17.2012i 0.152204 0.568034i
\(918\) 10.1783 17.2860i 0.335935 0.570522i
\(919\) 36.2597i 1.19610i 0.801459 + 0.598049i \(0.204057\pi\)
−0.801459 + 0.598049i \(0.795943\pi\)
\(920\) −7.60043 + 8.38883i −0.250579 + 0.276571i
\(921\) −3.60183 + 13.2904i −0.118684 + 0.437934i
\(922\) −8.23492 30.7331i −0.271203 1.01214i
\(923\) 11.7373 11.7373i 0.386338 0.386338i
\(924\) −6.12507 + 1.62249i −0.201500 + 0.0533760i
\(925\) −27.8946 + 10.5103i −0.917169 + 0.345576i
\(926\) 25.8317 14.9139i 0.848881 0.490102i
\(927\) −34.1564 34.5485i −1.12184 1.13472i
\(928\) 0.736748 2.74958i 0.0241849 0.0902594i
\(929\) 5.85331 + 10.1382i 0.192041 + 0.332625i 0.945926 0.324381i \(-0.105156\pi\)
−0.753885 + 0.657006i \(0.771823\pi\)
\(930\) 3.83474 7.41676i 0.125746 0.243205i
\(931\) −22.0041 + 16.4800i −0.721155 + 0.540110i
\(932\) −18.1933 18.1933i −0.595941 0.595941i
\(933\) −28.6273 0.0816786i −0.937214 0.00267404i
\(934\) 23.2802 13.4408i 0.761752 0.439798i
\(935\) −3.95406 + 7.70131i −0.129311 + 0.251860i
\(936\) −1.96728 + 3.36297i −0.0643027 + 0.109922i
\(937\) 5.78729 + 21.5985i 0.189063 + 0.705591i 0.993724 + 0.111858i \(0.0356801\pi\)
−0.804662 + 0.593734i \(0.797653\pi\)
\(938\) −39.7102 + 39.7102i −1.29658 + 1.29658i
\(939\) −3.89716 14.7122i −0.127179 0.480114i
\(940\) −3.73367 + 7.27208i −0.121779 + 0.237189i
\(941\) −4.04535 2.33558i −0.131875 0.0761378i 0.432611 0.901581i \(-0.357592\pi\)
−0.564486 + 0.825443i \(0.690926\pi\)
\(942\) −5.38065 3.12702i −0.175311 0.101884i
\(943\) −4.99548 4.99548i −0.162675 0.162675i
\(944\) 6.47590 11.2166i 0.210773 0.365069i
\(945\) 35.8131 22.6685i 1.16500 0.737405i
\(946\) 2.85365 4.94266i 0.0927801 0.160700i
\(947\) 1.35140 5.04348i 0.0439145 0.163891i −0.940486 0.339832i \(-0.889630\pi\)
0.984401 + 0.175940i \(0.0562966\pi\)
\(948\) −0.0729292 + 25.5607i −0.00236863 + 0.830172i
\(949\) 0.319062i 0.0103572i
\(950\) −21.7734 0.959354i −0.706421 0.0311255i
\(951\) −8.24126 31.1116i −0.267241 1.00886i
\(952\) 13.6029 + 3.64488i 0.440872 + 0.118131i
\(953\) 7.95313 + 2.13103i 0.257627 + 0.0690310i 0.385321 0.922783i \(-0.374091\pi\)
−0.127694 + 0.991814i \(0.540757\pi\)
\(954\) −9.98297 0.0569668i −0.323211 0.00184437i
\(955\) 27.1188 + 5.85196i 0.877543 + 0.189365i
\(956\) 3.22081 + 1.85953i 0.104168 + 0.0601416i
\(957\) −2.48445 + 4.27497i −0.0803108 + 0.138190i
\(958\) −21.8223 21.8223i −0.705047 0.705047i
\(959\) −17.8143 + 30.8553i −0.575255 + 0.996371i
\(960\) −0.827746 + 3.78350i −0.0267154 + 0.122112i
\(961\) −26.3524 −0.850079
\(962\) 5.47487 + 5.47487i 0.176517 + 0.176517i
\(963\) −26.8920 27.2007i −0.866584 0.876531i
\(964\) −14.1978 + 8.19712i −0.457281 + 0.264012i
\(965\) 0.498350 + 0.255866i 0.0160425 + 0.00823662i
\(966\) −22.5526 22.6817i −0.725620 0.729772i
\(967\) −0.0575755 0.0154273i −0.00185150 0.000496108i 0.257893 0.966173i \(-0.416972\pi\)
−0.259745 + 0.965677i \(0.583638\pi\)
\(968\) 7.06703 7.06703i 0.227143 0.227143i
\(969\) −10.7617 27.0870i −0.345714 0.870158i
\(970\) −14.5438 13.1769i −0.466973 0.423086i
\(971\) −4.55713 + 2.63106i −0.146245 + 0.0844348i −0.571337 0.820715i \(-0.693575\pi\)
0.425092 + 0.905150i \(0.360242\pi\)
\(972\) −7.98602 + 13.3874i −0.256152 + 0.429402i
\(973\) 42.2303 11.3156i 1.35384 0.362760i
\(974\) −16.1053 27.8952i −0.516047 0.893820i
\(975\) −1.85976 + 11.0923i −0.0595598 + 0.355239i
\(976\) 0.915975 0.0293196
\(977\) 15.9346 + 15.9346i 0.509793 + 0.509793i 0.914463 0.404670i \(-0.132614\pi\)
−0.404670 + 0.914463i \(0.632614\pi\)
\(978\) 19.8129 + 34.5442i 0.633547 + 1.10460i
\(979\) −8.90230 5.13974i −0.284519 0.164267i
\(980\) 10.4512 + 9.46893i 0.333850 + 0.302474i
\(981\) −17.0431 + 9.71060i −0.544145 + 0.310035i
\(982\) −9.36787 34.9614i −0.298941 1.11566i
\(983\) 47.4634 + 12.7178i 1.51385 + 0.405634i 0.917711 0.397249i \(-0.130035\pi\)
0.596136 + 0.802883i \(0.296702\pi\)
\(984\) −2.33296 0.632255i −0.0743721 0.0201555i
\(985\) −7.81296 + 5.03952i −0.248942 + 0.160572i
\(986\) 9.51704 5.49467i 0.303084 0.174986i
\(987\) −19.9706 11.6061i −0.635672 0.369428i
\(988\) 2.10517 + 5.25495i 0.0669745 + 0.167182i
\(989\) 28.8104 0.916116
\(990\) 3.10677 5.96700i 0.0987396 0.189644i
\(991\) 2.36265 + 4.09223i 0.0750520 + 0.129994i 0.901109 0.433593i \(-0.142754\pi\)
−0.826057 + 0.563587i \(0.809421\pi\)
\(992\) −2.08236 + 0.557968i −0.0661151 + 0.0177155i
\(993\) −0.0241171 + 8.45272i −0.000765333 + 0.268239i
\(994\) 40.3777 + 23.3121i 1.28070 + 0.739414i
\(995\) 27.9885 30.8918i 0.887296 0.979336i
\(996\) −3.67095 13.8582i −0.116319 0.439115i
\(997\) −1.50043 5.59967i −0.0475190 0.177343i 0.938088 0.346398i \(-0.112595\pi\)
−0.985607 + 0.169054i \(0.945929\pi\)
\(998\) −1.48758 5.55172i −0.0470884 0.175736i
\(999\) 21.7167 + 22.0917i 0.687087 + 0.698952i
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 570.2.v.c.83.11 144
3.2 odd 2 inner 570.2.v.c.83.30 yes 144
5.2 odd 4 inner 570.2.v.c.197.1 yes 144
15.2 even 4 inner 570.2.v.c.197.21 yes 144
19.11 even 3 inner 570.2.v.c.353.21 yes 144
57.11 odd 6 inner 570.2.v.c.353.1 yes 144
95.87 odd 12 inner 570.2.v.c.467.30 yes 144
285.182 even 12 inner 570.2.v.c.467.11 yes 144
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
570.2.v.c.83.11 144 1.1 even 1 trivial
570.2.v.c.83.30 yes 144 3.2 odd 2 inner
570.2.v.c.197.1 yes 144 5.2 odd 4 inner
570.2.v.c.197.21 yes 144 15.2 even 4 inner
570.2.v.c.353.1 yes 144 57.11 odd 6 inner
570.2.v.c.353.21 yes 144 19.11 even 3 inner
570.2.v.c.467.11 yes 144 285.182 even 12 inner
570.2.v.c.467.30 yes 144 95.87 odd 12 inner