Properties

Label 605.2.k.b.56.12
Level $605$
Weight $2$
Character 605.56
Analytic conductor $4.831$
Analytic rank $0$
Dimension $220$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [605,2,Mod(56,605)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(605, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([0, 2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("605.56");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 605 = 5 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 605.k (of order \(11\), degree \(10\), 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: \(4.83094932229\)
Analytic rank: \(0\)
Dimension: \(220\)
Relative dimension: \(22\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 56.12
Character \(\chi\) \(=\) 605.56
Dual form 605.2.k.b.551.12

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.0357503 - 0.0104972i) q^{2} +2.77455 q^{3} +(-1.68134 - 1.08053i) q^{4} +(0.654861 - 0.755750i) q^{5} +(-0.0991912 - 0.0291252i) q^{6} +(0.491662 - 1.07659i) q^{7} +(0.0975655 + 0.112597i) q^{8} +4.69815 q^{9} +O(q^{10})\) \(q+(-0.0357503 - 0.0104972i) q^{2} +2.77455 q^{3} +(-1.68134 - 1.08053i) q^{4} +(0.654861 - 0.755750i) q^{5} +(-0.0991912 - 0.0291252i) q^{6} +(0.491662 - 1.07659i) q^{7} +(0.0975655 + 0.112597i) q^{8} +4.69815 q^{9} +(-0.0313448 + 0.0201441i) q^{10} +(3.22549 + 0.772132i) q^{11} +(-4.66497 - 2.99799i) q^{12} +(-2.66286 - 1.71132i) q^{13} +(-0.0288783 + 0.0333273i) q^{14} +(1.81695 - 2.09687i) q^{15} +(1.65820 + 3.63095i) q^{16} +(-0.586282 - 4.07768i) q^{17} +(-0.167960 - 0.0493176i) q^{18} +(-0.231329 + 1.60893i) q^{19} +(-1.91765 + 0.563074i) q^{20} +(1.36414 - 2.98706i) q^{21} +(-0.107207 - 0.0614628i) q^{22} +(1.53868 + 3.36924i) q^{23} +(0.270701 + 0.312405i) q^{24} +(-0.142315 - 0.989821i) q^{25} +(0.0772341 + 0.0891329i) q^{26} +4.71161 q^{27} +(-1.98994 + 1.27886i) q^{28} +(1.44131 - 10.0246i) q^{29} +(-0.0869678 + 0.0558908i) q^{30} +(-4.84693 + 3.11494i) q^{31} +(-0.0635722 - 0.442155i) q^{32} +(8.94931 + 2.14232i) q^{33} +(-0.0218446 + 0.151933i) q^{34} +(-0.491662 - 1.07659i) q^{35} +(-7.89919 - 5.07650i) q^{36} +(6.33920 - 4.07396i) q^{37} +(0.0251595 - 0.0550915i) q^{38} +(-7.38825 - 4.74814i) q^{39} +0.148987 q^{40} +(3.17974 + 0.933657i) q^{41} +(-0.0801244 + 0.0924685i) q^{42} +(3.33585 + 3.84978i) q^{43} +(-4.58884 - 4.78346i) q^{44} +(3.07663 - 3.55063i) q^{45} +(-0.0196406 - 0.136603i) q^{46} +(-7.63488 + 2.24180i) q^{47} +(4.60077 + 10.0743i) q^{48} +(3.66671 + 4.23161i) q^{49} +(-0.00530259 + 0.0368804i) q^{50} +(-1.62667 - 11.3137i) q^{51} +(2.62804 + 5.75461i) q^{52} +(-4.74128 + 10.3820i) q^{53} +(-0.168442 - 0.0494589i) q^{54} +(2.69579 - 1.93203i) q^{55} +(0.169190 - 0.0496785i) q^{56} +(-0.641836 + 4.46407i) q^{57} +(-0.156758 + 0.343251i) q^{58} +(0.960989 - 0.282172i) q^{59} +(-5.32063 + 1.56228i) q^{60} +(-4.17534 + 1.22599i) q^{61} +(0.205978 - 0.0604805i) q^{62} +(2.30990 - 5.05798i) q^{63} +(1.13378 - 7.88561i) q^{64} +(-3.03713 + 0.891782i) q^{65} +(-0.297452 - 0.170532i) q^{66} +(-0.575758 - 0.169058i) q^{67} +(-3.42032 + 7.48946i) q^{68} +(4.26915 + 9.34813i) q^{69} +(0.00627585 + 0.0436495i) q^{70} +(-2.15350 + 14.9779i) q^{71} +(0.458378 + 0.528996i) q^{72} +(3.46585 + 7.58916i) q^{73} +(-0.269394 + 0.0791011i) q^{74} +(-0.394860 - 2.74631i) q^{75} +(2.12744 - 2.45520i) q^{76} +(2.41712 - 3.09291i) q^{77} +(0.214290 + 0.247304i) q^{78} +(-5.65616 + 6.52755i) q^{79} +(3.82998 + 1.12458i) q^{80} -1.02183 q^{81} +(-0.103876 - 0.0667571i) q^{82} +(2.53349 - 5.54756i) q^{83} +(-5.52119 + 3.54826i) q^{84} +(-3.46564 - 2.22723i) q^{85} +(-0.0788457 - 0.172648i) q^{86} +(3.99900 - 27.8137i) q^{87} +(0.227758 + 0.438513i) q^{88} +(0.877182 + 6.10093i) q^{89} +(-0.147262 + 0.0946398i) q^{90} +(-3.15161 + 2.02542i) q^{91} +(1.05352 - 7.32742i) q^{92} +(-13.4481 + 8.64256i) q^{93} +0.296482 q^{94} +(1.06446 + 1.22845i) q^{95} +(-0.176385 - 1.22678i) q^{96} +(-4.51605 - 5.21180i) q^{97} +(-0.0866659 - 0.189772i) q^{98} +(15.1539 + 3.62759i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 220 q - 2 q^{2} - 24 q^{4} + 22 q^{5} + 8 q^{6} + 4 q^{7} - 6 q^{8} + 212 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 220 q - 2 q^{2} - 24 q^{4} + 22 q^{5} + 8 q^{6} + 4 q^{7} - 6 q^{8} + 212 q^{9} + 2 q^{10} - 2 q^{11} + 49 q^{12} + 8 q^{13} - 40 q^{14} + 11 q^{15} - 28 q^{16} - 8 q^{17} - 10 q^{18} + 24 q^{20} - 22 q^{21} - 79 q^{22} - 31 q^{23} - 36 q^{24} - 22 q^{25} - 6 q^{26} - 6 q^{27} + 4 q^{28} - 4 q^{29} - 19 q^{30} + 20 q^{31} - 104 q^{32} - 12 q^{34} - 4 q^{35} - 30 q^{36} - 93 q^{37} + 8 q^{38} + 16 q^{39} + 6 q^{40} - 12 q^{41} - 8 q^{42} - 43 q^{43} + 9 q^{44} + 30 q^{45} - 124 q^{46} - 42 q^{47} - 158 q^{48} - 38 q^{49} - 2 q^{50} + 27 q^{51} + 146 q^{52} + 74 q^{53} + 93 q^{54} + 2 q^{55} + 25 q^{56} - 55 q^{57} + 26 q^{58} + 10 q^{59} - 16 q^{60} - 4 q^{61} - 33 q^{62} + 20 q^{63} + 32 q^{64} - 8 q^{65} - 69 q^{66} - 47 q^{67} - 24 q^{68} - 82 q^{69} - 15 q^{70} + 2 q^{71} - 294 q^{72} + 30 q^{73} - 112 q^{74} + 132 q^{76} + 136 q^{77} - 115 q^{78} + 58 q^{79} + 28 q^{80} + 220 q^{81} + 32 q^{82} - 164 q^{83} - 32 q^{84} + 41 q^{85} - 34 q^{86} - 76 q^{87} + 115 q^{88} - 44 q^{89} + 54 q^{90} - 60 q^{91} + 140 q^{92} - 68 q^{93} - 74 q^{94} - 44 q^{95} + 140 q^{96} - 39 q^{97} + 182 q^{98} - 274 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).

\(n\) \(122\) \(486\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0357503 0.0104972i −0.0252793 0.00742267i 0.269068 0.963121i \(-0.413284\pi\)
−0.294348 + 0.955698i \(0.595102\pi\)
\(3\) 2.77455 1.60189 0.800945 0.598738i \(-0.204331\pi\)
0.800945 + 0.598738i \(0.204331\pi\)
\(4\) −1.68134 1.08053i −0.840670 0.540266i
\(5\) 0.654861 0.755750i 0.292863 0.337981i
\(6\) −0.0991912 0.0291252i −0.0404946 0.0118903i
\(7\) 0.491662 1.07659i 0.185831 0.406913i −0.793671 0.608347i \(-0.791833\pi\)
0.979502 + 0.201434i \(0.0645602\pi\)
\(8\) 0.0975655 + 0.112597i 0.0344946 + 0.0398089i
\(9\) 4.69815 1.56605
\(10\) −0.0313448 + 0.0201441i −0.00991209 + 0.00637011i
\(11\) 3.22549 + 0.772132i 0.972523 + 0.232807i
\(12\) −4.66497 2.99799i −1.34666 0.865446i
\(13\) −2.66286 1.71132i −0.738545 0.474634i 0.116498 0.993191i \(-0.462833\pi\)
−0.855043 + 0.518557i \(0.826469\pi\)
\(14\) −0.0288783 + 0.0333273i −0.00771805 + 0.00890710i
\(15\) 1.81695 2.09687i 0.469134 0.541409i
\(16\) 1.65820 + 3.63095i 0.414550 + 0.907738i
\(17\) −0.586282 4.07768i −0.142194 0.988982i −0.928550 0.371208i \(-0.878944\pi\)
0.786356 0.617774i \(-0.211965\pi\)
\(18\) −0.167960 0.0493176i −0.0395887 0.0116243i
\(19\) −0.231329 + 1.60893i −0.0530706 + 0.369114i 0.945928 + 0.324376i \(0.105154\pi\)
−0.998999 + 0.0447380i \(0.985755\pi\)
\(20\) −1.91765 + 0.563074i −0.428800 + 0.125907i
\(21\) 1.36414 2.98706i 0.297680 0.651829i
\(22\) −0.107207 0.0614628i −0.0228567 0.0131039i
\(23\) 1.53868 + 3.36924i 0.320837 + 0.702534i 0.999490 0.0319242i \(-0.0101635\pi\)
−0.678654 + 0.734458i \(0.737436\pi\)
\(24\) 0.270701 + 0.312405i 0.0552566 + 0.0637695i
\(25\) −0.142315 0.989821i −0.0284630 0.197964i
\(26\) 0.0772341 + 0.0891329i 0.0151468 + 0.0174804i
\(27\) 4.71161 0.906750
\(28\) −1.98994 + 1.27886i −0.376063 + 0.241681i
\(29\) 1.44131 10.0246i 0.267645 1.86151i −0.202984 0.979182i \(-0.565064\pi\)
0.470629 0.882331i \(-0.344027\pi\)
\(30\) −0.0869678 + 0.0558908i −0.0158781 + 0.0102042i
\(31\) −4.84693 + 3.11494i −0.870535 + 0.559459i −0.897916 0.440166i \(-0.854920\pi\)
0.0273812 + 0.999625i \(0.491283\pi\)
\(32\) −0.0635722 0.442155i −0.0112381 0.0781626i
\(33\) 8.94931 + 2.14232i 1.55787 + 0.372930i
\(34\) −0.0218446 + 0.151933i −0.00374632 + 0.0260562i
\(35\) −0.491662 1.07659i −0.0831060 0.181977i
\(36\) −7.89919 5.07650i −1.31653 0.846083i
\(37\) 6.33920 4.07396i 1.04216 0.669754i 0.0966384 0.995320i \(-0.469191\pi\)
0.945520 + 0.325565i \(0.105555\pi\)
\(38\) 0.0251595 0.0550915i 0.00408140 0.00893702i
\(39\) −7.38825 4.74814i −1.18307 0.760311i
\(40\) 0.148987 0.0235569
\(41\) 3.17974 + 0.933657i 0.496592 + 0.145813i 0.520432 0.853903i \(-0.325771\pi\)
−0.0238396 + 0.999716i \(0.507589\pi\)
\(42\) −0.0801244 + 0.0924685i −0.0123635 + 0.0142682i
\(43\) 3.33585 + 3.84978i 0.508713 + 0.587086i 0.950769 0.309902i \(-0.100296\pi\)
−0.442056 + 0.896988i \(0.645751\pi\)
\(44\) −4.58884 4.78346i −0.691793 0.721134i
\(45\) 3.07663 3.55063i 0.458638 0.529296i
\(46\) −0.0196406 0.136603i −0.00289584 0.0201410i
\(47\) −7.63488 + 2.24180i −1.11366 + 0.327001i −0.786267 0.617887i \(-0.787989\pi\)
−0.327395 + 0.944888i \(0.606171\pi\)
\(48\) 4.60077 + 10.0743i 0.664064 + 1.45410i
\(49\) 3.66671 + 4.23161i 0.523816 + 0.604516i
\(50\) −0.00530259 + 0.0368804i −0.000749900 + 0.00521567i
\(51\) −1.62667 11.3137i −0.227779 1.58424i
\(52\) 2.62804 + 5.75461i 0.364444 + 0.798021i
\(53\) −4.74128 + 10.3820i −0.651265 + 1.42607i 0.239177 + 0.970976i \(0.423122\pi\)
−0.890442 + 0.455096i \(0.849605\pi\)
\(54\) −0.168442 0.0494589i −0.0229220 0.00673051i
\(55\) 2.69579 1.93203i 0.363500 0.260514i
\(56\) 0.169190 0.0496785i 0.0226089 0.00663858i
\(57\) −0.641836 + 4.46407i −0.0850133 + 0.591280i
\(58\) −0.156758 + 0.343251i −0.0205833 + 0.0450711i
\(59\) 0.960989 0.282172i 0.125110 0.0367356i −0.218578 0.975819i \(-0.570142\pi\)
0.343688 + 0.939084i \(0.388324\pi\)
\(60\) −5.32063 + 1.56228i −0.686891 + 0.201689i
\(61\) −4.17534 + 1.22599i −0.534597 + 0.156972i −0.537878 0.843023i \(-0.680774\pi\)
0.00328089 + 0.999995i \(0.498956\pi\)
\(62\) 0.205978 0.0604805i 0.0261592 0.00768103i
\(63\) 2.30990 5.05798i 0.291020 0.637246i
\(64\) 1.13378 7.88561i 0.141722 0.985701i
\(65\) −3.03713 + 0.891782i −0.376710 + 0.110612i
\(66\) −0.297452 0.170532i −0.0366138 0.0209910i
\(67\) −0.575758 0.169058i −0.0703401 0.0206537i 0.246373 0.969175i \(-0.420761\pi\)
−0.316713 + 0.948521i \(0.602579\pi\)
\(68\) −3.42032 + 7.48946i −0.414775 + 0.908230i
\(69\) 4.26915 + 9.34813i 0.513945 + 1.12538i
\(70\) 0.00627585 + 0.0436495i 0.000750108 + 0.00521712i
\(71\) −2.15350 + 14.9779i −0.255574 + 1.77755i 0.307898 + 0.951419i \(0.400374\pi\)
−0.563472 + 0.826135i \(0.690535\pi\)
\(72\) 0.458378 + 0.528996i 0.0540203 + 0.0623428i
\(73\) 3.46585 + 7.58916i 0.405648 + 0.888244i 0.996666 + 0.0815864i \(0.0259987\pi\)
−0.591019 + 0.806658i \(0.701274\pi\)
\(74\) −0.269394 + 0.0791011i −0.0313164 + 0.00919532i
\(75\) −0.394860 2.74631i −0.0455945 0.317117i
\(76\) 2.12744 2.45520i 0.244035 0.281631i
\(77\) 2.41712 3.09291i 0.275457 0.352469i
\(78\) 0.214290 + 0.247304i 0.0242636 + 0.0280017i
\(79\) −5.65616 + 6.52755i −0.636367 + 0.734407i −0.978728 0.205161i \(-0.934228\pi\)
0.342361 + 0.939569i \(0.388774\pi\)
\(80\) 3.82998 + 1.12458i 0.428205 + 0.125732i
\(81\) −1.02183 −0.113537
\(82\) −0.103876 0.0667571i −0.0114712 0.00737209i
\(83\) 2.53349 5.54756i 0.278086 0.608924i −0.718123 0.695917i \(-0.754998\pi\)
0.996209 + 0.0869924i \(0.0277256\pi\)
\(84\) −5.52119 + 3.54826i −0.602412 + 0.387146i
\(85\) −3.46564 2.22723i −0.375901 0.241577i
\(86\) −0.0788457 0.172648i −0.00850216 0.0186171i
\(87\) 3.99900 27.8137i 0.428738 2.98194i
\(88\) 0.227758 + 0.438513i 0.0242790 + 0.0467457i
\(89\) 0.877182 + 6.10093i 0.0929811 + 0.646697i 0.982008 + 0.188842i \(0.0604733\pi\)
−0.889026 + 0.457856i \(0.848618\pi\)
\(90\) −0.147262 + 0.0946398i −0.0155228 + 0.00997592i
\(91\) −3.15161 + 2.02542i −0.330379 + 0.212322i
\(92\) 1.05352 7.32742i 0.109837 0.763936i
\(93\) −13.4481 + 8.64256i −1.39450 + 0.896192i
\(94\) 0.296482 0.0305798
\(95\) 1.06446 + 1.22845i 0.109211 + 0.126037i
\(96\) −0.176385 1.22678i −0.0180022 0.125208i
\(97\) −4.51605 5.21180i −0.458535 0.529178i 0.478652 0.878005i \(-0.341126\pi\)
−0.937187 + 0.348827i \(0.886580\pi\)
\(98\) −0.0866659 0.189772i −0.00875458 0.0191698i
\(99\) 15.1539 + 3.62759i 1.52302 + 0.364587i
\(100\) −0.830253 + 1.81800i −0.0830253 + 0.181800i
\(101\) 18.6919 5.48844i 1.85991 0.546120i 0.860591 0.509296i \(-0.170094\pi\)
0.999322 0.0368237i \(-0.0117240\pi\)
\(102\) −0.0606091 + 0.421545i −0.00600119 + 0.0417392i
\(103\) 7.05614 + 2.07187i 0.695262 + 0.204147i 0.610222 0.792230i \(-0.291080\pi\)
0.0850398 + 0.996378i \(0.472898\pi\)
\(104\) −0.0671150 0.466795i −0.00658116 0.0457730i
\(105\) −1.36414 2.98706i −0.133127 0.291507i
\(106\) 0.278484 0.321388i 0.0270488 0.0312160i
\(107\) −2.59921 + 2.99965i −0.251275 + 0.289987i −0.867348 0.497702i \(-0.834177\pi\)
0.616073 + 0.787689i \(0.288723\pi\)
\(108\) −7.92182 5.09104i −0.762277 0.489886i
\(109\) −8.53688 5.48632i −0.817684 0.525494i 0.0636581 0.997972i \(-0.479723\pi\)
−0.881343 + 0.472478i \(0.843360\pi\)
\(110\) −0.116656 + 0.0407723i −0.0111227 + 0.00388748i
\(111\) 17.5885 11.3034i 1.66942 1.07287i
\(112\) 4.72432 0.446406
\(113\) −5.54069 6.39430i −0.521225 0.601525i 0.432712 0.901532i \(-0.357557\pi\)
−0.953937 + 0.300007i \(0.903011\pi\)
\(114\) 0.0698063 0.152854i 0.00653796 0.0143161i
\(115\) 3.55392 + 1.04352i 0.331405 + 0.0973092i
\(116\) −13.2552 + 15.2973i −1.23071 + 1.42032i
\(117\) −12.5105 8.04003i −1.15660 0.743301i
\(118\) −0.0373177 −0.00343537
\(119\) −4.67824 1.37365i −0.428853 0.125923i
\(120\) 0.413372 0.0377355
\(121\) 9.80762 + 4.98101i 0.891602 + 0.452819i
\(122\) 0.162139 0.0146794
\(123\) 8.82237 + 2.59048i 0.795486 + 0.233576i
\(124\) 11.5151 1.03409
\(125\) −0.841254 0.540641i −0.0752440 0.0483564i
\(126\) −0.135675 + 0.156577i −0.0120869 + 0.0139490i
\(127\) −17.7078 5.19948i −1.57131 0.461379i −0.623930 0.781480i \(-0.714465\pi\)
−0.947384 + 0.320101i \(0.896283\pi\)
\(128\) −0.494443 + 1.08268i −0.0437030 + 0.0956963i
\(129\) 9.25550 + 10.6814i 0.814902 + 0.940447i
\(130\) 0.117940 0.0103440
\(131\) −12.7323 + 8.18252i −1.11242 + 0.714910i −0.961820 0.273684i \(-0.911758\pi\)
−0.150603 + 0.988594i \(0.548121\pi\)
\(132\) −12.7320 13.2720i −1.10818 1.15518i
\(133\) 1.61842 + 1.04010i 0.140335 + 0.0901879i
\(134\) 0.0188089 + 0.0120877i 0.00162484 + 0.00104422i
\(135\) 3.08545 3.56080i 0.265553 0.306465i
\(136\) 0.401932 0.463854i 0.0344654 0.0397752i
\(137\) 6.59135 + 14.4331i 0.563137 + 1.23310i 0.950372 + 0.311117i \(0.100703\pi\)
−0.387234 + 0.921981i \(0.626570\pi\)
\(138\) −0.0544938 0.379013i −0.00463882 0.0322637i
\(139\) 9.49438 + 2.78780i 0.805303 + 0.236458i 0.658376 0.752689i \(-0.271244\pi\)
0.146927 + 0.989147i \(0.453062\pi\)
\(140\) −0.336638 + 2.34137i −0.0284511 + 0.197882i
\(141\) −21.1834 + 6.22000i −1.78396 + 0.523819i
\(142\) 0.234215 0.512860i 0.0196549 0.0430383i
\(143\) −7.26768 7.57592i −0.607754 0.633531i
\(144\) 7.79048 + 17.0588i 0.649206 + 1.42156i
\(145\) −6.63219 7.65396i −0.550774 0.635627i
\(146\) −0.0442401 0.307697i −0.00366134 0.0254652i
\(147\) 10.1735 + 11.7408i 0.839095 + 0.968368i
\(148\) −15.0604 −1.23796
\(149\) −14.3010 + 9.19071i −1.17159 + 0.752932i −0.973821 0.227317i \(-0.927005\pi\)
−0.197765 + 0.980250i \(0.563368\pi\)
\(150\) −0.0147123 + 0.102327i −0.00120126 + 0.00835493i
\(151\) −0.826860 + 0.531391i −0.0672889 + 0.0432440i −0.573853 0.818959i \(-0.694552\pi\)
0.506564 + 0.862202i \(0.330915\pi\)
\(152\) −0.203730 + 0.130929i −0.0165247 + 0.0106198i
\(153\) −2.75444 19.1575i −0.222683 1.54880i
\(154\) −0.118880 + 0.0851993i −0.00957961 + 0.00686555i
\(155\) −0.819956 + 5.70292i −0.0658604 + 0.458069i
\(156\) 7.29165 + 15.9665i 0.583799 + 1.27834i
\(157\) 1.83549 + 1.17960i 0.146488 + 0.0941423i 0.611832 0.790988i \(-0.290433\pi\)
−0.465344 + 0.885130i \(0.654069\pi\)
\(158\) 0.270731 0.173988i 0.0215382 0.0138418i
\(159\) −13.1549 + 28.8053i −1.04326 + 2.28441i
\(160\) −0.375789 0.241505i −0.0297087 0.0190927i
\(161\) 4.38379 0.345491
\(162\) 0.0365307 + 0.0107264i 0.00287012 + 0.000842744i
\(163\) 10.4156 12.0202i 0.815809 0.941494i −0.183327 0.983052i \(-0.558687\pi\)
0.999136 + 0.0415581i \(0.0132322\pi\)
\(164\) −4.33738 5.00561i −0.338693 0.390872i
\(165\) 7.47961 5.36051i 0.582287 0.417315i
\(166\) −0.148807 + 0.171733i −0.0115497 + 0.0133290i
\(167\) 1.86347 + 12.9607i 0.144200 + 1.00293i 0.925492 + 0.378766i \(0.123652\pi\)
−0.781292 + 0.624165i \(0.785439\pi\)
\(168\) 0.469426 0.137836i 0.0362170 0.0106343i
\(169\) −1.23817 2.71121i −0.0952438 0.208555i
\(170\) 0.100518 + 0.116004i 0.00770937 + 0.00889709i
\(171\) −1.08682 + 7.55901i −0.0831113 + 0.578052i
\(172\) −1.44889 10.0773i −0.110477 0.768385i
\(173\) −7.02319 15.3786i −0.533963 1.16922i −0.963877 0.266347i \(-0.914183\pi\)
0.429914 0.902870i \(-0.358544\pi\)
\(174\) −0.434933 + 0.952369i −0.0329722 + 0.0721989i
\(175\) −1.13560 0.333443i −0.0858435 0.0252059i
\(176\) 2.54494 + 12.9920i 0.191832 + 0.979306i
\(177\) 2.66632 0.782901i 0.200413 0.0588465i
\(178\) 0.0326834 0.227318i 0.00244973 0.0170382i
\(179\) −5.89484 + 12.9079i −0.440601 + 0.964781i 0.550887 + 0.834580i \(0.314290\pi\)
−0.991488 + 0.130201i \(0.958438\pi\)
\(180\) −9.00943 + 2.64541i −0.671523 + 0.197177i
\(181\) 4.65646 1.36726i 0.346112 0.101628i −0.104056 0.994571i \(-0.533182\pi\)
0.450168 + 0.892944i \(0.351364\pi\)
\(182\) 0.133933 0.0393261i 0.00992774 0.00291505i
\(183\) −11.5847 + 3.40157i −0.856365 + 0.251452i
\(184\) −0.229243 + 0.501971i −0.0169000 + 0.0370058i
\(185\) 1.07240 7.45872i 0.0788446 0.548376i
\(186\) 0.571496 0.167806i 0.0419041 0.0123042i
\(187\) 1.25746 13.6052i 0.0919544 0.994912i
\(188\) 15.2592 + 4.48049i 1.11289 + 0.326774i
\(189\) 2.31652 5.07247i 0.168502 0.368968i
\(190\) −0.0251595 0.0550915i −0.00182526 0.00399676i
\(191\) −2.10329 14.6287i −0.152189 1.05849i −0.912541 0.408984i \(-0.865883\pi\)
0.760353 0.649510i \(-0.225026\pi\)
\(192\) 3.14573 21.8791i 0.227024 1.57898i
\(193\) −2.56100 2.95555i −0.184345 0.212745i 0.656054 0.754714i \(-0.272224\pi\)
−0.840398 + 0.541969i \(0.817679\pi\)
\(194\) 0.106741 + 0.233730i 0.00766354 + 0.0167808i
\(195\) −8.42668 + 2.47430i −0.603447 + 0.177188i
\(196\) −1.59260 11.0768i −0.113757 0.791198i
\(197\) −2.06168 + 2.37931i −0.146889 + 0.169519i −0.824426 0.565970i \(-0.808502\pi\)
0.677537 + 0.735489i \(0.263047\pi\)
\(198\) −0.503676 0.288761i −0.0357947 0.0205214i
\(199\) 3.96068 + 4.57087i 0.280765 + 0.324020i 0.878563 0.477627i \(-0.158503\pi\)
−0.597798 + 0.801647i \(0.703957\pi\)
\(200\) 0.0975655 0.112597i 0.00689892 0.00796178i
\(201\) −1.59747 0.469060i −0.112677 0.0330850i
\(202\) −0.725855 −0.0510710
\(203\) −10.0837 6.48040i −0.707737 0.454835i
\(204\) −9.48986 + 20.7799i −0.664423 + 1.45488i
\(205\) 2.78790 1.79167i 0.194715 0.125136i
\(206\) −0.230510 0.148140i −0.0160604 0.0103214i
\(207\) 7.22894 + 15.8292i 0.502446 + 1.10020i
\(208\) 1.79815 12.5064i 0.124680 0.867165i
\(209\) −1.98846 + 5.01098i −0.137545 + 0.346617i
\(210\) 0.0174127 + 0.121108i 0.00120159 + 0.00835724i
\(211\) −2.60774 + 1.67589i −0.179524 + 0.115373i −0.627316 0.778764i \(-0.715847\pi\)
0.447792 + 0.894138i \(0.352210\pi\)
\(212\) 19.1897 12.3325i 1.31796 0.846999i
\(213\) −5.97501 + 41.5571i −0.409401 + 2.84745i
\(214\) 0.124411 0.0799539i 0.00850454 0.00546554i
\(215\) 5.09399 0.347407
\(216\) 0.459691 + 0.530512i 0.0312780 + 0.0360967i
\(217\) 0.970454 + 6.74965i 0.0658787 + 0.458196i
\(218\) 0.247605 + 0.285751i 0.0167699 + 0.0193535i
\(219\) 9.61620 + 21.0565i 0.649803 + 1.42287i
\(220\) −6.62015 + 0.335510i −0.446330 + 0.0226201i
\(221\) −5.41701 + 11.8616i −0.364388 + 0.797898i
\(222\) −0.747448 + 0.219470i −0.0501654 + 0.0147299i
\(223\) 2.47607 17.2214i 0.165810 1.15323i −0.721620 0.692289i \(-0.756602\pi\)
0.887430 0.460943i \(-0.152489\pi\)
\(224\) −0.507275 0.148949i −0.0338937 0.00995210i
\(225\) −0.668617 4.65033i −0.0445744 0.310022i
\(226\) 0.130959 + 0.286760i 0.00871127 + 0.0190750i
\(227\) −12.4506 + 14.3687i −0.826375 + 0.953687i −0.999513 0.0312102i \(-0.990064\pi\)
0.173138 + 0.984898i \(0.444609\pi\)
\(228\) 5.90271 6.81209i 0.390916 0.451142i
\(229\) 6.06196 + 3.89578i 0.400586 + 0.257441i 0.725387 0.688342i \(-0.241661\pi\)
−0.324801 + 0.945782i \(0.605297\pi\)
\(230\) −0.116100 0.0746127i −0.00765538 0.00491982i
\(231\) 6.70644 8.58143i 0.441251 0.564617i
\(232\) 1.26935 0.815764i 0.0833372 0.0535575i
\(233\) −1.34529 −0.0881328 −0.0440664 0.999029i \(-0.514031\pi\)
−0.0440664 + 0.999029i \(0.514031\pi\)
\(234\) 0.362857 + 0.418760i 0.0237207 + 0.0273752i
\(235\) −3.30554 + 7.23813i −0.215630 + 0.472163i
\(236\) −1.92064 0.563952i −0.125023 0.0367102i
\(237\) −15.6933 + 18.1111i −1.01939 + 1.17644i
\(238\) 0.152829 + 0.0982172i 0.00990643 + 0.00636648i
\(239\) −23.7589 −1.53684 −0.768419 0.639947i \(-0.778956\pi\)
−0.768419 + 0.639947i \(0.778956\pi\)
\(240\) 10.6265 + 3.12022i 0.685937 + 0.201409i
\(241\) 23.2537 1.49791 0.748953 0.662624i \(-0.230557\pi\)
0.748953 + 0.662624i \(0.230557\pi\)
\(242\) −0.298339 0.281026i −0.0191779 0.0180650i
\(243\) −16.9700 −1.08862
\(244\) 8.34487 + 2.45028i 0.534226 + 0.156863i
\(245\) 5.59922 0.357721
\(246\) −0.288210 0.185221i −0.0183756 0.0118093i
\(247\) 3.36939 3.88848i 0.214389 0.247418i
\(248\) −0.823625 0.241838i −0.0523002 0.0153567i
\(249\) 7.02930 15.3920i 0.445464 0.975429i
\(250\) 0.0243998 + 0.0281589i 0.00154318 + 0.00178093i
\(251\) 0.00726920 0.000458828 0.000229414 1.00000i \(-0.499927\pi\)
0.000229414 1.00000i \(0.499927\pi\)
\(252\) −9.34903 + 6.00826i −0.588934 + 0.378485i
\(253\) 2.36150 + 12.0555i 0.148466 + 0.757924i
\(254\) 0.578480 + 0.371766i 0.0362970 + 0.0233267i
\(255\) −9.61560 6.17957i −0.602152 0.386980i
\(256\) −10.4051 + 12.0081i −0.650320 + 0.750509i
\(257\) 1.42323 1.64250i 0.0887787 0.102456i −0.709622 0.704583i \(-0.751134\pi\)
0.798401 + 0.602127i \(0.205680\pi\)
\(258\) −0.218762 0.479022i −0.0136195 0.0298226i
\(259\) −1.26924 8.82772i −0.0788664 0.548528i
\(260\) 6.07005 + 1.78233i 0.376448 + 0.110535i
\(261\) 6.77151 47.0969i 0.419146 2.91522i
\(262\) 0.541076 0.158874i 0.0334278 0.00981529i
\(263\) 5.37959 11.7796i 0.331719 0.726364i −0.668124 0.744050i \(-0.732903\pi\)
0.999844 + 0.0176856i \(0.00562978\pi\)
\(264\) 0.631926 + 1.21668i 0.0388923 + 0.0748814i
\(265\) 4.74128 + 10.3820i 0.291255 + 0.637759i
\(266\) −0.0469410 0.0541728i −0.00287814 0.00332155i
\(267\) 2.43379 + 16.9274i 0.148945 + 1.03594i
\(268\) 0.785372 + 0.906368i 0.0479743 + 0.0553652i
\(269\) 27.8596 1.69863 0.849316 0.527885i \(-0.177015\pi\)
0.849316 + 0.527885i \(0.177015\pi\)
\(270\) −0.147684 + 0.0949110i −0.00898779 + 0.00577610i
\(271\) 1.28267 8.92117i 0.0779167 0.541923i −0.913053 0.407840i \(-0.866282\pi\)
0.990970 0.134083i \(-0.0428088\pi\)
\(272\) 13.8337 8.89037i 0.838790 0.539058i
\(273\) −8.74432 + 5.61964i −0.529231 + 0.340116i
\(274\) −0.0841358 0.585177i −0.00508283 0.0353519i
\(275\) 0.305237 3.30255i 0.0184065 0.199151i
\(276\) 2.92306 20.3303i 0.175947 1.22374i
\(277\) −8.84852 19.3756i −0.531656 1.16416i −0.964835 0.262856i \(-0.915335\pi\)
0.433179 0.901308i \(-0.357392\pi\)
\(278\) −0.310163 0.199330i −0.0186023 0.0119550i
\(279\) −22.7716 + 14.6344i −1.36330 + 0.876141i
\(280\) 0.0732511 0.160397i 0.00437759 0.00958558i
\(281\) −2.56865 1.65077i −0.153233 0.0984767i 0.461778 0.886996i \(-0.347212\pi\)
−0.615010 + 0.788519i \(0.710848\pi\)
\(282\) 0.822606 0.0489855
\(283\) 11.9097 + 3.49701i 0.707960 + 0.207876i 0.615839 0.787872i \(-0.288817\pi\)
0.0921212 + 0.995748i \(0.470635\pi\)
\(284\) 19.8049 22.8561i 1.17520 1.35626i
\(285\) 2.95340 + 3.40841i 0.174945 + 0.201897i
\(286\) 0.180296 + 0.347132i 0.0106611 + 0.0205264i
\(287\) 2.56852 2.96423i 0.151615 0.174973i
\(288\) −0.298672 2.07731i −0.0175994 0.122407i
\(289\) 0.0276460 0.00811761i 0.00162624 0.000477506i
\(290\) 0.156758 + 0.343251i 0.00920513 + 0.0201564i
\(291\) −12.5300 14.4604i −0.734523 0.847685i
\(292\) 2.37305 16.5049i 0.138872 0.965877i
\(293\) −2.19895 15.2940i −0.128464 0.893487i −0.947502 0.319749i \(-0.896402\pi\)
0.819038 0.573739i \(-0.194508\pi\)
\(294\) −0.240459 0.526532i −0.0140239 0.0307080i
\(295\) 0.416063 0.911050i 0.0242241 0.0530434i
\(296\) 1.07720 + 0.316295i 0.0626110 + 0.0183843i
\(297\) 15.1973 + 3.63799i 0.881836 + 0.211097i
\(298\) 0.607743 0.178450i 0.0352056 0.0103373i
\(299\) 1.66854 11.6050i 0.0964944 0.671133i
\(300\) −2.30358 + 5.04414i −0.132997 + 0.291224i
\(301\) 5.78474 1.69855i 0.333427 0.0979030i
\(302\) 0.0351387 0.0103176i 0.00202200 0.000593713i
\(303\) 51.8617 15.2280i 2.97938 0.874824i
\(304\) −6.22555 + 1.82799i −0.357060 + 0.104842i
\(305\) −1.80772 + 3.95836i −0.103510 + 0.226655i
\(306\) −0.102629 + 0.713803i −0.00586693 + 0.0408054i
\(307\) 20.2284 5.93958i 1.15449 0.338990i 0.352203 0.935924i \(-0.385433\pi\)
0.802291 + 0.596934i \(0.203614\pi\)
\(308\) −7.40598 + 2.58845i −0.421995 + 0.147490i
\(309\) 19.5776 + 5.74852i 1.11373 + 0.327022i
\(310\) 0.0891786 0.195274i 0.00506500 0.0110908i
\(311\) 2.24874 + 4.92404i 0.127514 + 0.279217i 0.962612 0.270885i \(-0.0873162\pi\)
−0.835098 + 0.550102i \(0.814589\pi\)
\(312\) −0.186214 1.29515i −0.0105423 0.0733233i
\(313\) 3.13036 21.7721i 0.176938 1.23063i −0.686858 0.726791i \(-0.741011\pi\)
0.863797 0.503841i \(-0.168080\pi\)
\(314\) −0.0532369 0.0614387i −0.00300433 0.00346719i
\(315\) −2.30990 5.05798i −0.130148 0.284985i
\(316\) 16.5631 4.86338i 0.931750 0.273586i
\(317\) −2.92402 20.3370i −0.164229 1.14224i −0.890551 0.454884i \(-0.849681\pi\)
0.726322 0.687355i \(-0.241228\pi\)
\(318\) 0.772670 0.891709i 0.0433292 0.0500045i
\(319\) 12.3892 31.2213i 0.693664 1.74806i
\(320\) −5.21708 6.02083i −0.291644 0.336575i
\(321\) −7.21165 + 8.32269i −0.402515 + 0.464527i
\(322\) −0.156722 0.0460177i −0.00873378 0.00256447i
\(323\) 6.69633 0.372594
\(324\) 1.71804 + 1.10412i 0.0954467 + 0.0613399i
\(325\) −1.31493 + 2.87930i −0.0729394 + 0.159715i
\(326\) −0.498538 + 0.320391i −0.0276115 + 0.0177448i
\(327\) −23.6860 15.2221i −1.30984 0.841783i
\(328\) 0.205107 + 0.449121i 0.0113251 + 0.0247986i
\(329\) −1.34028 + 9.32184i −0.0738919 + 0.513930i
\(330\) −0.323669 + 0.113125i −0.0178174 + 0.00622732i
\(331\) −3.14753 21.8915i −0.173004 1.20327i −0.872494 0.488626i \(-0.837498\pi\)
0.699490 0.714643i \(-0.253411\pi\)
\(332\) −10.2540 + 6.58982i −0.562759 + 0.361664i
\(333\) 29.7825 19.1401i 1.63207 1.04887i
\(334\) 0.0694322 0.482912i 0.00379916 0.0264238i
\(335\) −0.504807 + 0.324420i −0.0275805 + 0.0177249i
\(336\) 13.1079 0.715094
\(337\) −16.9703 19.5847i −0.924430 1.06685i −0.997580 0.0695276i \(-0.977851\pi\)
0.0731505 0.997321i \(-0.476695\pi\)
\(338\) 0.0158047 + 0.109924i 0.000859663 + 0.00597909i
\(339\) −15.3730 17.7413i −0.834944 0.963577i
\(340\) 3.42032 + 7.48946i 0.185493 + 0.406173i
\(341\) −18.0389 + 6.30473i −0.976861 + 0.341421i
\(342\) 0.118203 0.258828i 0.00639168 0.0139958i
\(343\) 14.3077 4.20112i 0.772543 0.226839i
\(344\) −0.108008 + 0.751211i −0.00582340 + 0.0405026i
\(345\) 9.86054 + 2.89532i 0.530874 + 0.155879i
\(346\) 0.0896480 + 0.623516i 0.00481951 + 0.0335204i
\(347\) −4.54437 9.95078i −0.243954 0.534186i 0.747558 0.664196i \(-0.231226\pi\)
−0.991513 + 0.130011i \(0.958499\pi\)
\(348\) −36.7772 + 42.4432i −1.97147 + 2.27519i
\(349\) −3.93366 + 4.53969i −0.210564 + 0.243004i −0.851201 0.524840i \(-0.824125\pi\)
0.640637 + 0.767844i \(0.278671\pi\)
\(350\) 0.0370979 + 0.0238414i 0.00198297 + 0.00127438i
\(351\) −12.5464 8.06306i −0.669676 0.430375i
\(352\) 0.136350 1.47525i 0.00726747 0.0786313i
\(353\) −6.98782 + 4.49080i −0.371924 + 0.239021i −0.713228 0.700932i \(-0.752768\pi\)
0.341304 + 0.939953i \(0.389131\pi\)
\(354\) −0.103540 −0.00550309
\(355\) 9.90933 + 11.4360i 0.525932 + 0.606958i
\(356\) 5.11741 11.2056i 0.271222 0.593893i
\(357\) −12.9800 3.81128i −0.686976 0.201714i
\(358\) 0.346240 0.399582i 0.0182993 0.0211186i
\(359\) 22.4827 + 14.4488i 1.18659 + 0.762576i 0.976587 0.215124i \(-0.0690157\pi\)
0.210005 + 0.977700i \(0.432652\pi\)
\(360\) 0.699962 0.0368912
\(361\) 15.6952 + 4.60853i 0.826064 + 0.242554i
\(362\) −0.180823 −0.00950382
\(363\) 27.2118 + 13.8201i 1.42825 + 0.725367i
\(364\) 7.48746 0.392450
\(365\) 8.00516 + 2.35053i 0.419009 + 0.123032i
\(366\) 0.449864 0.0235148
\(367\) 7.22181 + 4.64118i 0.376975 + 0.242267i 0.715383 0.698732i \(-0.246252\pi\)
−0.338408 + 0.940999i \(0.609888\pi\)
\(368\) −9.68210 + 11.1737i −0.504714 + 0.582471i
\(369\) 14.9389 + 4.38646i 0.777689 + 0.228350i
\(370\) −0.116635 + 0.255394i −0.00606355 + 0.0132773i
\(371\) 8.84600 + 10.2088i 0.459262 + 0.530016i
\(372\) 31.9493 1.65650
\(373\) 2.25408 1.44861i 0.116712 0.0750062i −0.480982 0.876730i \(-0.659720\pi\)
0.597694 + 0.801724i \(0.296084\pi\)
\(374\) −0.187772 + 0.473191i −0.00970945 + 0.0244681i
\(375\) −2.33410 1.50004i −0.120533 0.0774616i
\(376\) −0.997321 0.640939i −0.0514329 0.0330539i
\(377\) −20.9932 + 24.2275i −1.08121 + 1.24778i
\(378\) −0.136063 + 0.157025i −0.00699834 + 0.00807652i
\(379\) 5.42361 + 11.8761i 0.278592 + 0.610032i 0.996265 0.0863487i \(-0.0275199\pi\)
−0.717673 + 0.696380i \(0.754793\pi\)
\(380\) −0.462338 3.21563i −0.0237174 0.164958i
\(381\) −49.1313 14.4262i −2.51707 0.739079i
\(382\) −0.0783676 + 0.545059i −0.00400964 + 0.0278876i
\(383\) 2.44407 0.717643i 0.124886 0.0366699i −0.218692 0.975794i \(-0.570179\pi\)
0.343578 + 0.939124i \(0.388361\pi\)
\(384\) −1.37186 + 3.00395i −0.0700074 + 0.153295i
\(385\) −0.754584 3.85216i −0.0384571 0.196324i
\(386\) 0.0605314 + 0.132545i 0.00308096 + 0.00674637i
\(387\) 15.6723 + 18.0868i 0.796670 + 0.919406i
\(388\) 1.96150 + 13.6425i 0.0995801 + 0.692595i
\(389\) −17.1176 19.7547i −0.867895 1.00160i −0.999946 0.0103611i \(-0.996702\pi\)
0.132052 0.991243i \(-0.457844\pi\)
\(390\) 0.327230 0.0165699
\(391\) 12.8366 8.24956i 0.649173 0.417198i
\(392\) −0.118720 + 0.825719i −0.00599629 + 0.0417051i
\(393\) −35.3263 + 22.7029i −1.78198 + 1.14521i
\(394\) 0.0986820 0.0634191i 0.00497153 0.00319501i
\(395\) 1.22920 + 8.54928i 0.0618478 + 0.430161i
\(396\) −21.5591 22.4734i −1.08338 1.12933i
\(397\) 4.67347 32.5047i 0.234555 1.63136i −0.443445 0.896301i \(-0.646244\pi\)
0.678000 0.735062i \(-0.262847\pi\)
\(398\) −0.0936141 0.204986i −0.00469245 0.0102750i
\(399\) 4.49040 + 2.88581i 0.224801 + 0.144471i
\(400\) 3.35801 2.15806i 0.167900 0.107903i
\(401\) −1.67984 + 3.67833i −0.0838871 + 0.183687i −0.946927 0.321449i \(-0.895830\pi\)
0.863040 + 0.505136i \(0.168558\pi\)
\(402\) 0.0521863 + 0.0335381i 0.00260282 + 0.00167273i
\(403\) 18.2374 0.908468
\(404\) −37.3578 10.9693i −1.85862 0.545741i
\(405\) −0.669156 + 0.772247i −0.0332506 + 0.0383732i
\(406\) 0.292469 + 0.337527i 0.0145150 + 0.0167512i
\(407\) 23.5927 8.24582i 1.16945 0.408730i
\(408\) 1.11518 1.28699i 0.0552097 0.0637154i
\(409\) −3.39035 23.5804i −0.167642 1.16598i −0.883741 0.467976i \(-0.844983\pi\)
0.716099 0.697999i \(-0.245926\pi\)
\(410\) −0.118476 + 0.0347877i −0.00585111 + 0.00171804i
\(411\) 18.2881 + 40.0453i 0.902084 + 1.97529i
\(412\) −9.62505 11.1079i −0.474192 0.547247i
\(413\) 0.168699 1.17332i 0.00830111 0.0577355i
\(414\) −0.0922744 0.641782i −0.00453504 0.0315419i
\(415\) −2.53349 5.54756i −0.124364 0.272319i
\(416\) −0.587383 + 1.28619i −0.0287988 + 0.0630606i
\(417\) 26.3427 + 7.73491i 1.29001 + 0.378780i
\(418\) 0.123690 0.158271i 0.00604986 0.00774129i
\(419\) 13.3372 3.91616i 0.651566 0.191317i 0.0607873 0.998151i \(-0.480639\pi\)
0.590779 + 0.806834i \(0.298821\pi\)
\(420\) −0.934020 + 6.49625i −0.0455755 + 0.316985i
\(421\) −3.44373 + 7.54072i −0.167837 + 0.367512i −0.974797 0.223094i \(-0.928384\pi\)
0.806960 + 0.590607i \(0.201112\pi\)
\(422\) 0.110820 0.0325396i 0.00539462 0.00158400i
\(423\) −35.8698 + 10.5323i −1.74405 + 0.512099i
\(424\) −1.63156 + 0.479069i −0.0792355 + 0.0232657i
\(425\) −3.95274 + 1.16063i −0.191736 + 0.0562987i
\(426\) 0.649844 1.42296i 0.0314850 0.0689426i
\(427\) −0.732967 + 5.09789i −0.0354707 + 0.246704i
\(428\) 7.61137 2.23490i 0.367909 0.108028i
\(429\) −20.1646 21.0198i −0.973555 1.01485i
\(430\) −0.182112 0.0534728i −0.00878221 0.00257869i
\(431\) −12.9173 + 28.2850i −0.622205 + 1.36244i 0.291699 + 0.956510i \(0.405779\pi\)
−0.913904 + 0.405930i \(0.866948\pi\)
\(432\) 7.81280 + 17.1076i 0.375893 + 0.823092i
\(433\) 2.91405 + 20.2677i 0.140040 + 0.974003i 0.931749 + 0.363104i \(0.118283\pi\)
−0.791708 + 0.610899i \(0.790808\pi\)
\(434\) 0.0361587 0.251489i 0.00173567 0.0120719i
\(435\) −18.4014 21.2363i −0.882279 1.01820i
\(436\) 8.42525 + 18.4487i 0.403496 + 0.883533i
\(437\) −5.77681 + 1.69623i −0.276342 + 0.0811415i
\(438\) −0.122747 0.853722i −0.00586506 0.0407924i
\(439\) −24.2952 + 28.0381i −1.15955 + 1.33819i −0.228388 + 0.973570i \(0.573345\pi\)
−0.931158 + 0.364617i \(0.881200\pi\)
\(440\) 0.480556 + 0.115037i 0.0229096 + 0.00548419i
\(441\) 17.2268 + 19.8807i 0.820322 + 0.946702i
\(442\) 0.318174 0.367193i 0.0151340 0.0174656i
\(443\) −10.3704 3.04502i −0.492712 0.144673i 0.0259315 0.999664i \(-0.491745\pi\)
−0.518644 + 0.854990i \(0.673563\pi\)
\(444\) −41.7858 −1.98307
\(445\) 5.18521 + 3.33233i 0.245802 + 0.157968i
\(446\) −0.269298 + 0.589680i −0.0127516 + 0.0279221i
\(447\) −39.6790 + 25.5001i −1.87675 + 1.20611i
\(448\) −7.93213 5.09767i −0.374758 0.240842i
\(449\) −5.96310 13.0574i −0.281416 0.616215i 0.715154 0.698967i \(-0.246356\pi\)
−0.996570 + 0.0827518i \(0.973629\pi\)
\(450\) −0.0249124 + 0.173269i −0.00117438 + 0.00816800i
\(451\) 9.53534 + 5.46669i 0.449002 + 0.257416i
\(452\) 2.40654 + 16.7379i 0.113194 + 0.787284i
\(453\) −2.29417 + 1.47437i −0.107789 + 0.0692720i
\(454\) 0.595945 0.382991i 0.0279691 0.0179746i
\(455\) −0.533158 + 3.70820i −0.0249949 + 0.173843i
\(456\) −0.565260 + 0.363271i −0.0264707 + 0.0170117i
\(457\) 20.3657 0.952667 0.476333 0.879265i \(-0.341966\pi\)
0.476333 + 0.879265i \(0.341966\pi\)
\(458\) −0.175822 0.202909i −0.00821562 0.00948133i
\(459\) −2.76233 19.2124i −0.128935 0.896760i
\(460\) −4.84778 5.59464i −0.226029 0.260851i
\(461\) −2.93466 6.42601i −0.136681 0.299289i 0.828898 0.559400i \(-0.188968\pi\)
−0.965579 + 0.260111i \(0.916241\pi\)
\(462\) −0.329839 + 0.236390i −0.0153455 + 0.0109979i
\(463\) 13.2543 29.0228i 0.615979 1.34880i −0.302430 0.953172i \(-0.597798\pi\)
0.918409 0.395633i \(-0.129475\pi\)
\(464\) 38.7887 11.3894i 1.80072 0.528739i
\(465\) −2.27501 + 15.8231i −0.105501 + 0.733777i
\(466\) 0.0480945 + 0.0141218i 0.00222794 + 0.000654181i
\(467\) 2.74194 + 19.0706i 0.126882 + 0.882482i 0.949473 + 0.313849i \(0.101619\pi\)
−0.822591 + 0.568633i \(0.807472\pi\)
\(468\) 12.3469 + 27.0360i 0.570737 + 1.24974i
\(469\) −0.465084 + 0.536736i −0.0214756 + 0.0247842i
\(470\) 0.194155 0.224066i 0.00895568 0.0103354i
\(471\) 5.09267 + 3.27286i 0.234658 + 0.150806i
\(472\) 0.125531 + 0.0806739i 0.00577803 + 0.00371332i
\(473\) 7.78724 + 14.9932i 0.358057 + 0.689386i
\(474\) 0.751157 0.482739i 0.0345018 0.0221730i
\(475\) 1.62548 0.0745820
\(476\) 6.38143 + 7.36456i 0.292492 + 0.337554i
\(477\) −22.2753 + 48.7760i −1.01991 + 2.23330i
\(478\) 0.849390 + 0.249403i 0.0388502 + 0.0114074i
\(479\) −18.7432 + 21.6308i −0.856397 + 0.988335i −0.999999 0.00130032i \(-0.999586\pi\)
0.143602 + 0.989636i \(0.454132\pi\)
\(480\) −1.04265 0.670069i −0.0475901 0.0305843i
\(481\) −23.8522 −1.08757
\(482\) −0.831329 0.244100i −0.0378660 0.0111185i
\(483\) 12.1631 0.553439
\(484\) −11.1078 18.9722i −0.504900 0.862373i
\(485\) −6.89620 −0.313140
\(486\) 0.606682 + 0.178138i 0.0275196 + 0.00808049i
\(487\) −11.2141 −0.508161 −0.254081 0.967183i \(-0.581773\pi\)
−0.254081 + 0.967183i \(0.581773\pi\)
\(488\) −0.545411 0.350514i −0.0246896 0.0158670i
\(489\) 28.8985 33.3507i 1.30684 1.50817i
\(490\) −0.200174 0.0587764i −0.00904294 0.00265525i
\(491\) −11.4716 + 25.1192i −0.517705 + 1.13362i 0.452596 + 0.891716i \(0.350498\pi\)
−0.970301 + 0.241900i \(0.922229\pi\)
\(492\) −12.0343 13.8883i −0.542548 0.626134i
\(493\) −41.7219 −1.87906
\(494\) −0.161275 + 0.103645i −0.00725611 + 0.00466322i
\(495\) 12.6652 9.07696i 0.569259 0.407979i
\(496\) −19.3474 12.4338i −0.868723 0.558294i
\(497\) 15.0663 + 9.68252i 0.675816 + 0.434320i
\(498\) −0.412873 + 0.476481i −0.0185013 + 0.0213516i
\(499\) −1.46563 + 1.69143i −0.0656108 + 0.0757189i −0.787606 0.616179i \(-0.788680\pi\)
0.721995 + 0.691898i \(0.243225\pi\)
\(500\) 0.830253 + 1.81800i 0.0371301 + 0.0813035i
\(501\) 5.17030 + 35.9603i 0.230992 + 1.60659i
\(502\) −0.000259876 0 7.63066e-5i −1.15988e−5 0 3.40573e-6i
\(503\) 2.36109 16.4218i 0.105276 0.732210i −0.866989 0.498327i \(-0.833948\pi\)
0.972265 0.233883i \(-0.0751432\pi\)
\(504\) 0.794878 0.233397i 0.0354067 0.0103963i
\(505\) 8.09271 17.7206i 0.360121 0.788554i
\(506\) 0.0421251 0.455778i 0.00187269 0.0202618i
\(507\) −3.43537 7.52241i −0.152570 0.334082i
\(508\) 24.1546 + 27.8759i 1.07169 + 1.23679i
\(509\) −0.943491 6.56213i −0.0418195 0.290861i −0.999989 0.00466022i \(-0.998517\pi\)
0.958170 0.286201i \(-0.0923925\pi\)
\(510\) 0.278892 + 0.321859i 0.0123496 + 0.0142521i
\(511\) 9.87444 0.436820
\(512\) 2.50062 1.60705i 0.110513 0.0710224i
\(513\) −1.08993 + 7.58066i −0.0481218 + 0.334694i
\(514\) −0.0681226 + 0.0437798i −0.00300476 + 0.00193104i
\(515\) 6.18660 3.97589i 0.272614 0.175199i
\(516\) −4.02003 27.9600i −0.176972 1.23087i
\(517\) −26.3572 + 1.33579i −1.15919 + 0.0587479i
\(518\) −0.0472912 + 0.328917i −0.00207786 + 0.0144518i
\(519\) −19.4862 42.6689i −0.855350 1.87296i
\(520\) −0.396731 0.254963i −0.0173978 0.0111809i
\(521\) −30.8319 + 19.8144i −1.35077 + 0.868087i −0.997718 0.0675172i \(-0.978492\pi\)
−0.353051 + 0.935604i \(0.614856\pi\)
\(522\) −0.736471 + 1.61265i −0.0322345 + 0.0705836i
\(523\) −0.797346 0.512423i −0.0348655 0.0224067i 0.523092 0.852276i \(-0.324778\pi\)
−0.557957 + 0.829870i \(0.688415\pi\)
\(524\) 30.2487 1.32142
\(525\) −3.15079 0.925155i −0.137512 0.0403771i
\(526\) −0.315976 + 0.364655i −0.0137772 + 0.0158997i
\(527\) 15.5434 + 17.9380i 0.677080 + 0.781392i
\(528\) 7.06108 + 36.0469i 0.307294 + 1.56874i
\(529\) 6.07758 7.01390i 0.264243 0.304952i
\(530\) −0.0605204 0.420929i −0.00262884 0.0182840i
\(531\) 4.51487 1.32569i 0.195929 0.0575299i
\(532\) −1.59726 3.49751i −0.0692500 0.151636i
\(533\) −6.86943 7.92775i −0.297548 0.343389i
\(534\) 0.0906820 0.630707i 0.00392419 0.0272934i
\(535\) 0.564863 + 3.92871i 0.0244211 + 0.169853i
\(536\) −0.0371388 0.0813226i −0.00160415 0.00351260i
\(537\) −16.3555 + 35.8136i −0.705794 + 1.54547i
\(538\) −0.995991 0.292449i −0.0429402 0.0126084i
\(539\) 8.55960 + 16.4802i 0.368688 + 0.709853i
\(540\) −9.03524 + 2.65299i −0.388815 + 0.114166i
\(541\) −3.17500 + 22.0826i −0.136504 + 0.949405i 0.800312 + 0.599583i \(0.204667\pi\)
−0.936816 + 0.349822i \(0.886242\pi\)
\(542\) −0.139504 + 0.305470i −0.00599219 + 0.0131211i
\(543\) 12.9196 3.79354i 0.554434 0.162796i
\(544\) −1.76569 + 0.518454i −0.0757035 + 0.0222285i
\(545\) −9.73675 + 2.85897i −0.417076 + 0.122465i
\(546\) 0.371603 0.109113i 0.0159031 0.00466958i
\(547\) −3.21501 + 7.03988i −0.137464 + 0.301004i −0.965827 0.259188i \(-0.916545\pi\)
0.828363 + 0.560191i \(0.189272\pi\)
\(548\) 4.51306 31.3890i 0.192788 1.34087i
\(549\) −19.6164 + 5.75988i −0.837206 + 0.245826i
\(550\) −0.0455800 + 0.114863i −0.00194354 + 0.00489778i
\(551\) 15.7954 + 4.63795i 0.672907 + 0.197583i
\(552\) −0.636046 + 1.39275i −0.0270719 + 0.0592792i
\(553\) 4.24658 + 9.29871i 0.180583 + 0.395421i
\(554\) 0.112948 + 0.785568i 0.00479868 + 0.0333756i
\(555\) 2.97544 20.6946i 0.126300 0.878438i
\(556\) −12.9510 14.9462i −0.549243 0.633861i
\(557\) −4.36506 9.55814i −0.184953 0.404992i 0.794330 0.607487i \(-0.207822\pi\)
−0.979283 + 0.202495i \(0.935095\pi\)
\(558\) 0.967714 0.284147i 0.0409666 0.0120289i
\(559\) −2.29472 15.9601i −0.0970563 0.675042i
\(560\) 3.09377 3.57040i 0.130736 0.150877i
\(561\) 3.48888 37.7484i 0.147301 1.59374i
\(562\) 0.0745015 + 0.0859793i 0.00314266 + 0.00362682i
\(563\) 25.8707 29.8563i 1.09032 1.25829i 0.126433 0.991975i \(-0.459647\pi\)
0.963885 0.266319i \(-0.0858074\pi\)
\(564\) 42.3374 + 12.4314i 1.78272 + 0.523455i
\(565\) −8.46088 −0.355952
\(566\) −0.389068 0.250039i −0.0163537 0.0105099i
\(567\) −0.502394 + 1.10009i −0.0210986 + 0.0461994i
\(568\) −1.89657 + 1.21885i −0.0795784 + 0.0511420i
\(569\) −4.91685 3.15987i −0.206125 0.132469i 0.433506 0.901151i \(-0.357276\pi\)
−0.639631 + 0.768682i \(0.720913\pi\)
\(570\) −0.0698063 0.152854i −0.00292386 0.00640237i
\(571\) 3.44498 23.9604i 0.144168 1.00271i −0.781374 0.624064i \(-0.785481\pi\)
0.925541 0.378646i \(-0.123610\pi\)
\(572\) 4.03342 + 20.5907i 0.168646 + 0.860939i
\(573\) −5.83568 40.5881i −0.243789 1.69559i
\(574\) −0.122942 + 0.0790099i −0.00513149 + 0.00329781i
\(575\) 3.11597 2.00251i 0.129945 0.0835104i
\(576\) 5.32667 37.0478i 0.221945 1.54366i
\(577\) −8.14357 + 5.23355i −0.339021 + 0.217876i −0.699062 0.715061i \(-0.746399\pi\)
0.360041 + 0.932936i \(0.382763\pi\)
\(578\) −0.00107357 −4.46545e−5
\(579\) −7.10562 8.20033i −0.295300 0.340794i
\(580\) 2.88063 + 20.0352i 0.119611 + 0.831916i
\(581\) −4.72683 5.45505i −0.196102 0.226314i
\(582\) 0.296158 + 0.648495i 0.0122761 + 0.0268810i
\(583\) −23.3092 + 29.8261i −0.965369 + 1.23527i
\(584\) −0.516366 + 1.13068i −0.0213674 + 0.0467880i
\(585\) −14.2689 + 4.18973i −0.589946 + 0.173224i
\(586\) −0.0819320 + 0.569850i −0.00338458 + 0.0235403i
\(587\) −4.46126 1.30994i −0.184136 0.0540672i 0.188365 0.982099i \(-0.439681\pi\)
−0.372500 + 0.928032i \(0.621500\pi\)
\(588\) −4.41875 30.7331i −0.182226 1.26741i
\(589\) −3.89048 8.51896i −0.160304 0.351018i
\(590\) −0.0244379 + 0.0282028i −0.00100609 + 0.00116109i
\(591\) −5.72025 + 6.60152i −0.235300 + 0.271550i
\(592\) 25.3040 + 16.2619i 1.03999 + 0.668360i
\(593\) −9.90178 6.36349i −0.406617 0.261317i 0.321306 0.946975i \(-0.395878\pi\)
−0.727924 + 0.685658i \(0.759514\pi\)
\(594\) −0.505119 0.289589i −0.0207253 0.0118820i
\(595\) −4.10173 + 2.63602i −0.168155 + 0.108066i
\(596\) 33.9757 1.39170
\(597\) 10.9891 + 12.6821i 0.449755 + 0.519045i
\(598\) −0.181471 + 0.397367i −0.00742091 + 0.0162495i
\(599\) −20.4783 6.01297i −0.836721 0.245683i −0.164819 0.986324i \(-0.552704\pi\)
−0.671902 + 0.740640i \(0.734522\pi\)
\(600\) 0.270701 0.312405i 0.0110513 0.0127539i
\(601\) −27.4899 17.6667i −1.12134 0.720638i −0.157601 0.987503i \(-0.550376\pi\)
−0.963734 + 0.266864i \(0.914012\pi\)
\(602\) −0.224637 −0.00915550
\(603\) −2.70500 0.794259i −0.110156 0.0323447i
\(604\) 1.96442 0.0799310
\(605\) 10.1870 4.15024i 0.414162 0.168731i
\(606\) −2.01392 −0.0818101
\(607\) 45.0874 + 13.2388i 1.83004 + 0.537348i 0.999799 0.0200572i \(-0.00638482\pi\)
0.830241 + 0.557405i \(0.188203\pi\)
\(608\) 0.726103 0.0294474
\(609\) −27.9778 17.9802i −1.13372 0.728595i
\(610\) 0.106179 0.122537i 0.00429904 0.00496136i
\(611\) 24.1671 + 7.09609i 0.977695 + 0.287077i
\(612\) −16.0692 + 35.1866i −0.649558 + 1.42233i
\(613\) 3.43022 + 3.95868i 0.138545 + 0.159890i 0.820782 0.571242i \(-0.193538\pi\)
−0.682237 + 0.731131i \(0.738993\pi\)
\(614\) −0.785520 −0.0317010
\(615\) 7.73518 4.97110i 0.311913 0.200454i
\(616\) 0.584078 0.0296012i 0.0235332 0.00119267i
\(617\) 6.80479 + 4.37317i 0.273951 + 0.176057i 0.670401 0.741999i \(-0.266122\pi\)
−0.396451 + 0.918056i \(0.629758\pi\)
\(618\) −0.639564 0.411023i −0.0257270 0.0165338i
\(619\) 28.9158 33.3706i 1.16222 1.34128i 0.232686 0.972552i \(-0.425248\pi\)
0.929538 0.368726i \(-0.120206\pi\)
\(620\) 7.54080 8.70255i 0.302846 0.349503i
\(621\) 7.24966 + 15.8745i 0.290919 + 0.637023i
\(622\) −0.0287041 0.199642i −0.00115093 0.00800490i
\(623\) 6.99948 + 2.05523i 0.280428 + 0.0823411i
\(624\) 4.98907 34.6998i 0.199723 1.38910i
\(625\) −0.959493 + 0.281733i −0.0383797 + 0.0112693i
\(626\) −0.340458 + 0.745500i −0.0136075 + 0.0297962i
\(627\) −5.51709 + 13.9032i −0.220331 + 0.555242i
\(628\) −1.81149 3.96661i −0.0722864 0.158285i
\(629\) −20.3288 23.4607i −0.810564 0.935441i
\(630\) 0.0294849 + 0.205072i 0.00117471 + 0.00817027i
\(631\) 15.5085 + 17.8978i 0.617385 + 0.712501i 0.975208 0.221289i \(-0.0710263\pi\)
−0.357823 + 0.933789i \(0.616481\pi\)
\(632\) −1.28683 −0.0511872
\(633\) −7.23531 + 4.64985i −0.287578 + 0.184815i
\(634\) −0.108948 + 0.757748i −0.00432687 + 0.0300940i
\(635\) −15.5257 + 9.97773i −0.616117 + 0.395954i
\(636\) 53.2430 34.2172i 2.11122 1.35680i
\(637\) −2.52232 17.5431i −0.0999378 0.695083i
\(638\) −0.770656 + 0.986118i −0.0305106 + 0.0390408i
\(639\) −10.1175 + 70.3686i −0.400241 + 2.78374i
\(640\) 0.494443 + 1.08268i 0.0195446 + 0.0427967i
\(641\) 8.30053 + 5.33443i 0.327851 + 0.210697i 0.694203 0.719779i \(-0.255757\pi\)
−0.366352 + 0.930476i \(0.619393\pi\)
\(642\) 0.345184 0.221836i 0.0136233 0.00875519i
\(643\) −18.8091 + 41.1861i −0.741758 + 1.62422i 0.0388835 + 0.999244i \(0.487620\pi\)
−0.780641 + 0.624979i \(0.785107\pi\)
\(644\) −7.37064 4.73683i −0.290444 0.186657i
\(645\) 14.1335 0.556508
\(646\) −0.239396 0.0702930i −0.00941891 0.00276564i
\(647\) 28.3928 32.7670i 1.11624 1.28820i 0.162783 0.986662i \(-0.447953\pi\)
0.953453 0.301543i \(-0.0975017\pi\)
\(648\) −0.0996953 0.115054i −0.00391640 0.00451977i
\(649\) 3.31754 0.168133i 0.130225 0.00659981i
\(650\) 0.0772341 0.0891329i 0.00302937 0.00349608i
\(651\) 2.69258 + 18.7273i 0.105530 + 0.733980i
\(652\) −30.5003 + 8.95569i −1.19448 + 0.350732i
\(653\) −17.6296 38.6034i −0.689899 1.51067i −0.851803 0.523862i \(-0.824491\pi\)
0.161904 0.986807i \(-0.448237\pi\)
\(654\) 0.686993 + 0.792832i 0.0268636 + 0.0310022i
\(655\) −2.15392 + 14.9808i −0.0841604 + 0.585349i
\(656\) 1.88259 + 13.0937i 0.0735027 + 0.511223i
\(657\) 16.2831 + 35.6550i 0.635265 + 1.39104i
\(658\) 0.145769 0.319190i 0.00568267 0.0124433i
\(659\) −23.8186 6.99376i −0.927839 0.272438i −0.217307 0.976103i \(-0.569727\pi\)
−0.710532 + 0.703665i \(0.751546\pi\)
\(660\) −18.3680 + 0.930891i −0.714972 + 0.0362349i
\(661\) −24.8488 + 7.29625i −0.966505 + 0.283791i −0.726643 0.687016i \(-0.758920\pi\)
−0.239862 + 0.970807i \(0.577102\pi\)
\(662\) −0.117276 + 0.815670i −0.00455805 + 0.0317019i
\(663\) −15.0298 + 32.9107i −0.583709 + 1.27814i
\(664\) 0.871818 0.255989i 0.0338331 0.00993429i
\(665\) 1.84590 0.542004i 0.0715807 0.0210180i
\(666\) −1.26565 + 0.371629i −0.0490430 + 0.0144003i
\(667\) 35.9928 10.5684i 1.39365 0.409212i
\(668\) 10.8713 23.8049i 0.420625 0.921040i
\(669\) 6.86998 47.7818i 0.265609 1.84735i
\(670\) 0.0214525 0.00629903i 0.000828783 0.000243353i
\(671\) −14.4141 + 0.730511i −0.556452 + 0.0282011i
\(672\) −1.40746 0.413268i −0.0542940 0.0159422i
\(673\) −18.6007 + 40.7299i −0.717005 + 1.57002i 0.101049 + 0.994881i \(0.467780\pi\)
−0.818054 + 0.575141i \(0.804947\pi\)
\(674\) 0.401107 + 0.878302i 0.0154501 + 0.0338309i
\(675\) −0.670532 4.66366i −0.0258088 0.179504i
\(676\) −0.847767 + 5.89635i −0.0326064 + 0.226783i
\(677\) −1.50689 1.73904i −0.0579144 0.0668368i 0.726053 0.687639i \(-0.241353\pi\)
−0.783968 + 0.620802i \(0.786807\pi\)
\(678\) 0.363353 + 0.795632i 0.0139545 + 0.0305561i
\(679\) −7.83134 + 2.29949i −0.300539 + 0.0882462i
\(680\) −0.0873482 0.607520i −0.00334965 0.0232973i
\(681\) −34.5448 + 39.8669i −1.32376 + 1.52770i
\(682\) 0.711079 0.0360376i 0.0272286 0.00137995i
\(683\) −21.0435 24.2855i −0.805207 0.929259i 0.193447 0.981111i \(-0.438033\pi\)
−0.998655 + 0.0518517i \(0.983488\pi\)
\(684\) 9.99505 11.5349i 0.382170 0.441048i
\(685\) 15.2242 + 4.47023i 0.581686 + 0.170799i
\(686\) −0.555605 −0.0212131
\(687\) 16.8192 + 10.8091i 0.641694 + 0.412392i
\(688\) −8.44685 + 18.4960i −0.322033 + 0.705154i
\(689\) 30.3922 19.5319i 1.15785 0.744106i
\(690\) −0.322125 0.207017i −0.0122631 0.00788100i
\(691\) 10.9594 + 23.9977i 0.416915 + 0.912916i 0.995272 + 0.0971317i \(0.0309668\pi\)
−0.578357 + 0.815784i \(0.696306\pi\)
\(692\) −4.80873 + 33.4455i −0.182801 + 1.27141i
\(693\) 11.3560 14.5309i 0.431379 0.551985i
\(694\) 0.0580069 + 0.403447i 0.00220191 + 0.0153146i
\(695\) 8.32438 5.34975i 0.315762 0.202928i
\(696\) 3.52189 2.26338i 0.133497 0.0857933i
\(697\) 1.94293 13.5134i 0.0735936 0.511855i
\(698\) 0.188284 0.121003i 0.00712665 0.00458002i
\(699\) −3.73258 −0.141179
\(700\) 1.54904 + 1.78768i 0.0585481 + 0.0675681i
\(701\) −0.337509 2.34742i −0.0127475 0.0886610i 0.982454 0.186503i \(-0.0597153\pi\)
−0.995202 + 0.0978416i \(0.968806\pi\)
\(702\) 0.363897 + 0.419959i 0.0137344 + 0.0158503i
\(703\) 5.08827 + 11.1418i 0.191908 + 0.420220i
\(704\) 9.74573 24.5596i 0.367306 0.925623i
\(705\) −9.17140 + 20.0826i −0.345415 + 0.756353i
\(706\) 0.296958 0.0871946i 0.0111761 0.00328161i
\(707\) 3.28130 22.8220i 0.123406 0.858308i
\(708\) −5.32893 1.56472i −0.200274 0.0588056i
\(709\) 0.713300 + 4.96111i 0.0267886 + 0.186318i 0.998822 0.0485239i \(-0.0154517\pi\)
−0.972033 + 0.234842i \(0.924543\pi\)
\(710\) −0.234215 0.512860i −0.00878995 0.0192473i
\(711\) −26.5735 + 30.6674i −0.996583 + 1.15012i
\(712\) −0.601362 + 0.694008i −0.0225370 + 0.0260091i
\(713\) −17.9528 11.5376i −0.672339 0.432086i
\(714\) 0.424032 + 0.272509i 0.0158690 + 0.0101984i
\(715\) −10.4848 + 0.531373i −0.392110 + 0.0198722i
\(716\) 23.8586 15.3330i 0.891638 0.573021i
\(717\) −65.9205 −2.46184
\(718\) −0.652092 0.752554i −0.0243358 0.0280851i
\(719\) −3.34690 + 7.32869i −0.124818 + 0.273314i −0.961717 0.274043i \(-0.911639\pi\)
0.836899 + 0.547357i \(0.184366\pi\)
\(720\) 17.9938 + 5.28347i 0.670591 + 0.196903i
\(721\) 5.69979 6.57791i 0.212271 0.244974i
\(722\) −0.512732 0.329513i −0.0190819 0.0122632i
\(723\) 64.5188 2.39948
\(724\) −9.30646 2.73262i −0.345872 0.101557i
\(725\) −10.1276 −0.376131
\(726\) −0.827757 0.779722i −0.0307210 0.0289382i
\(727\) −4.29473 −0.159283 −0.0796414 0.996824i \(-0.525378\pi\)
−0.0796414 + 0.996824i \(0.525378\pi\)
\(728\) −0.535544 0.157250i −0.0198486 0.00582807i
\(729\) −44.0186 −1.63032
\(730\) −0.261513 0.168064i −0.00967903 0.00622033i
\(731\) 13.7424 15.8596i 0.508281 0.586588i
\(732\) 23.1533 + 6.79842i 0.855771 + 0.251277i
\(733\) 20.1290 44.0764i 0.743482 1.62800i −0.0342576 0.999413i \(-0.510907\pi\)
0.777740 0.628586i \(-0.216366\pi\)
\(734\) −0.209463 0.241733i −0.00773140 0.00892251i
\(735\) 15.5353 0.573030
\(736\) 1.39191 0.894524i 0.0513063 0.0329726i
\(737\) −1.72657 0.989856i −0.0635990 0.0364618i
\(738\) −0.488025 0.313635i −0.0179645 0.0115451i
\(739\) 18.0325 + 11.5888i 0.663336 + 0.426300i 0.828518 0.559963i \(-0.189185\pi\)
−0.165182 + 0.986263i \(0.552821\pi\)
\(740\) −9.86245 + 11.3819i −0.362551 + 0.418406i
\(741\) 9.34856 10.7888i 0.343428 0.396337i
\(742\) −0.209083 0.457828i −0.00767567 0.0168074i
\(743\) −2.29776 15.9813i −0.0842968 0.586297i −0.987564 0.157218i \(-0.949747\pi\)
0.903267 0.429079i \(-0.141162\pi\)
\(744\) −2.28519 0.670993i −0.0837792 0.0245998i
\(745\) −2.41930 + 16.8266i −0.0886364 + 0.616480i
\(746\) −0.0957906 + 0.0281267i −0.00350714 + 0.00102979i
\(747\) 11.9027 26.0633i 0.435497 0.953606i
\(748\) −16.8151 + 21.5163i −0.614820 + 0.786712i
\(749\) 1.95146 + 4.27310i 0.0713047 + 0.156136i
\(750\) 0.0676987 + 0.0781285i 0.00247201 + 0.00285285i
\(751\) −4.95814 34.4846i −0.180925 1.25836i −0.854581 0.519317i \(-0.826186\pi\)
0.673656 0.739045i \(-0.264723\pi\)
\(752\) −20.8000 24.0045i −0.758500 0.875355i
\(753\) 0.0201688 0.000734992
\(754\) 1.00484 0.645769i 0.0365940 0.0235175i
\(755\) −0.139880 + 0.972886i −0.00509075 + 0.0354069i
\(756\) −9.37582 + 6.02547i −0.340995 + 0.219144i
\(757\) −43.9904 + 28.2709i −1.59886 + 1.02752i −0.631079 + 0.775718i \(0.717388\pi\)
−0.967778 + 0.251805i \(0.918976\pi\)
\(758\) −0.0692301 0.481506i −0.00251455 0.0174891i
\(759\) 6.55212 + 33.4487i 0.237827 + 1.21411i
\(760\) −0.0344650 + 0.239709i −0.00125018 + 0.00869517i
\(761\) −11.0302 24.1528i −0.399845 0.875539i −0.997286 0.0736256i \(-0.976543\pi\)
0.597441 0.801913i \(-0.296184\pi\)
\(762\) 1.60502 + 1.03149i 0.0581439 + 0.0373668i
\(763\) −10.1038 + 6.49330i −0.365781 + 0.235073i
\(764\) −12.2704 + 26.8684i −0.443928 + 0.972066i
\(765\) −16.2821 10.4639i −0.588680 0.378322i
\(766\) −0.0949095 −0.00342922
\(767\) −3.04187 0.893173i −0.109835 0.0322506i
\(768\) −28.8696 + 33.3173i −1.04174 + 1.20223i
\(769\) 25.5100 + 29.4401i 0.919914 + 1.06164i 0.997906 + 0.0646837i \(0.0206038\pi\)
−0.0779915 + 0.996954i \(0.524851\pi\)
\(770\) −0.0134605 + 0.145637i −0.000485081 + 0.00524840i
\(771\) 3.94883 4.55719i 0.142214 0.164123i
\(772\) 1.11234 + 7.73651i 0.0400341 + 0.278443i
\(773\) −35.3813 + 10.3889i −1.27258 + 0.373662i −0.847161 0.531336i \(-0.821690\pi\)
−0.425415 + 0.904998i \(0.639872\pi\)
\(774\) −0.370429 0.811127i −0.0133148 0.0291554i
\(775\) 3.77302 + 4.35430i 0.135531 + 0.156411i
\(776\) 0.146220 1.01698i 0.00524900 0.0365076i
\(777\) −3.52156 24.4930i −0.126335 0.878681i
\(778\) 0.404588 + 0.885925i 0.0145052 + 0.0317619i
\(779\) −2.23776 + 4.90001i −0.0801760 + 0.175561i
\(780\) 16.8417 + 4.94516i 0.603029 + 0.177065i
\(781\) −18.5111 + 46.6485i −0.662378 + 1.66921i
\(782\) −0.545509 + 0.160176i −0.0195074 + 0.00572788i
\(783\) 6.79091 47.2318i 0.242687 1.68793i
\(784\) −9.28464 + 20.3305i −0.331594 + 0.726090i
\(785\) 2.09347 0.614699i 0.0747193 0.0219396i
\(786\) 1.50125 0.440805i 0.0535476 0.0157230i
\(787\) −12.8352 + 3.76876i −0.457526 + 0.134342i −0.502371 0.864652i \(-0.667539\pi\)
0.0448451 + 0.998994i \(0.485721\pi\)
\(788\) 6.03730 1.77271i 0.215070 0.0631503i
\(789\) 14.9260 32.6833i 0.531378 1.16356i
\(790\) 0.0457995 0.318543i 0.00162947 0.0113332i
\(791\) −9.60819 + 2.82122i −0.341628 + 0.100311i
\(792\) 1.07004 + 2.06020i 0.0380222 + 0.0732061i
\(793\) 13.2164 + 3.88068i 0.469328 + 0.137807i
\(794\) −0.508288 + 1.11299i −0.0180385 + 0.0394987i
\(795\) 13.1549 + 28.8053i 0.466558 + 1.02162i
\(796\) −1.72028 11.9648i −0.0609737 0.424082i
\(797\) −1.77450 + 12.3419i −0.0628561 + 0.437173i 0.933956 + 0.357388i \(0.116333\pi\)
−0.996812 + 0.0797855i \(0.974576\pi\)
\(798\) −0.130240 0.150305i −0.00461046 0.00532075i
\(799\) 13.6175 + 29.8183i 0.481754 + 1.05489i
\(800\) −0.428607 + 0.125850i −0.0151535 + 0.00444948i
\(801\) 4.12113 + 28.6631i 0.145613 + 1.01276i
\(802\) 0.0986671 0.113868i 0.00348405 0.00402081i
\(803\) 5.31926 + 27.1549i 0.187713 + 0.958275i
\(804\) 2.17906 + 2.51477i 0.0768495 + 0.0886890i
\(805\) 2.87077 3.31305i 0.101181 0.116770i
\(806\) −0.651992 0.191442i −0.0229654 0.00674326i
\(807\) 77.2981 2.72102
\(808\) 2.44166 + 1.56916i 0.0858974 + 0.0552029i
\(809\) −18.7714 + 41.1037i −0.659969 + 1.44513i 0.222583 + 0.974914i \(0.428551\pi\)
−0.882551 + 0.470216i \(0.844176\pi\)
\(810\) 0.0320290 0.0205838i 0.00112538 0.000723240i
\(811\) 1.67596 + 1.07708i 0.0588511 + 0.0378213i 0.569736 0.821828i \(-0.307046\pi\)
−0.510884 + 0.859649i \(0.670682\pi\)
\(812\) 9.95184 + 21.7915i 0.349241 + 0.764731i
\(813\) 3.55884 24.7523i 0.124814 0.868100i
\(814\) −0.930004 + 0.0471328i −0.0325966 + 0.00165200i
\(815\) −2.26352 15.7431i −0.0792875 0.551457i
\(816\) 38.3823 24.6668i 1.34365 0.863511i
\(817\) −6.96571 + 4.47659i −0.243699 + 0.156616i
\(818\) −0.126323 + 0.878596i −0.00441678 + 0.0307194i
\(819\) −14.8068 + 9.51573i −0.517390 + 0.332506i
\(820\) −6.62337 −0.231298
\(821\) 27.3650 + 31.5809i 0.955046 + 1.10218i 0.994685 + 0.102968i \(0.0328338\pi\)
−0.0396387 + 0.999214i \(0.512621\pi\)
\(822\) −0.233439 1.62361i −0.00814213 0.0566298i
\(823\) −18.3848 21.2172i −0.640853 0.739584i 0.338672 0.940904i \(-0.390022\pi\)
−0.979525 + 0.201320i \(0.935477\pi\)
\(824\) 0.455151 + 0.996641i 0.0158559 + 0.0347196i
\(825\) 0.846896 9.16310i 0.0294852 0.319018i
\(826\) −0.0183477 + 0.0401758i −0.000638398 + 0.00139790i
\(827\) −33.0242 + 9.69679i −1.14836 + 0.337190i −0.799901 0.600132i \(-0.795115\pi\)
−0.348464 + 0.937322i \(0.613297\pi\)
\(828\) 4.94961 34.4253i 0.172011 1.19636i
\(829\) 2.28472 + 0.670854i 0.0793516 + 0.0232997i 0.321167 0.947022i \(-0.395925\pi\)
−0.241816 + 0.970322i \(0.577743\pi\)
\(830\) 0.0323389 + 0.224922i 0.00112250 + 0.00780715i
\(831\) −24.5507 53.7585i −0.851654 1.86486i
\(832\) −16.5139 + 19.0580i −0.572516 + 0.660718i
\(833\) 15.1054 17.4326i 0.523372 0.604003i
\(834\) −0.860564 0.553051i −0.0297989 0.0191506i
\(835\) 11.0154 + 7.07916i 0.381203 + 0.244984i
\(836\) 8.75780 6.27657i 0.302895 0.217080i
\(837\) −22.8369 + 14.6764i −0.789358 + 0.507290i
\(838\) −0.517919 −0.0178912
\(839\) −27.5265 31.7673i −0.950321 1.09673i −0.995212 0.0977369i \(-0.968840\pi\)
0.0448914 0.998992i \(-0.485706\pi\)
\(840\) 0.203239 0.445032i 0.00701242 0.0153550i
\(841\) −70.5890 20.7268i −2.43411 0.714718i
\(842\) 0.202271 0.233434i 0.00697073 0.00804465i
\(843\) −7.12685 4.58015i −0.245462 0.157749i
\(844\) 6.19534 0.213253
\(845\) −2.85983 0.839721i −0.0983811 0.0288873i
\(846\) 1.39292 0.0478895
\(847\) 10.1845 8.10981i 0.349945 0.278656i
\(848\) −45.5584 −1.56448
\(849\) 33.0442 + 9.70266i 1.13407 + 0.332994i
\(850\) 0.153495 0.00526484
\(851\) 23.4801 + 15.0897i 0.804888 + 0.517270i
\(852\) 54.9498 63.4154i 1.88255 2.17258i
\(853\) 11.6038 + 3.40718i 0.397306 + 0.116660i 0.474281 0.880373i \(-0.342708\pi\)
−0.0769749 + 0.997033i \(0.524526\pi\)
\(854\) 0.0797176 0.174557i 0.00272788 0.00597323i
\(855\) 5.00100 + 5.77146i 0.171031 + 0.197380i
\(856\) −0.591344 −0.0202117
\(857\) −11.3352 + 7.28468i −0.387202 + 0.248840i −0.719731 0.694253i \(-0.755735\pi\)
0.332528 + 0.943093i \(0.392098\pi\)
\(858\) 0.500240 + 0.963138i 0.0170779 + 0.0328810i
\(859\) −9.36236 6.01683i −0.319440 0.205291i 0.371087 0.928598i \(-0.378985\pi\)
−0.690527 + 0.723306i \(0.742621\pi\)
\(860\) −8.56472 5.50421i −0.292055 0.187692i
\(861\) 7.12651 8.22443i 0.242871 0.280288i
\(862\) 0.758713 0.875601i 0.0258419 0.0298231i
\(863\) 16.4660 + 36.0556i 0.560511 + 1.22735i 0.951698 + 0.307036i \(0.0993373\pi\)
−0.391187 + 0.920311i \(0.627935\pi\)
\(864\) −0.299528 2.08326i −0.0101901 0.0708740i
\(865\) −16.2216 4.76309i −0.551551 0.161950i
\(866\) 0.108576 0.755166i 0.00368958 0.0256616i
\(867\) 0.0767054 0.0225227i 0.00260505 0.000764913i
\(868\) 5.66155 12.3971i 0.192165 0.420784i
\(869\) −23.2840 + 16.6873i −0.789857 + 0.566077i
\(870\) 0.434933 + 0.952369i 0.0147456 + 0.0322883i
\(871\) 1.24385 + 1.43548i 0.0421463 + 0.0486395i
\(872\) −0.215164 1.49650i −0.00728637 0.0506778i
\(873\) −21.2171 24.4858i −0.718089 0.828719i
\(874\) 0.224329 0.00758803
\(875\) −0.995661 + 0.639872i −0.0336595 + 0.0216316i
\(876\) 6.58415 45.7938i 0.222458 1.54723i
\(877\) −17.6709 + 11.3564i −0.596703 + 0.383478i −0.803850 0.594832i \(-0.797219\pi\)
0.207147 + 0.978310i \(0.433582\pi\)
\(878\) 1.16288 0.747340i 0.0392454 0.0252215i
\(879\) −6.10111 42.4341i −0.205785 1.43127i
\(880\) 11.4853 + 6.58459i 0.387168 + 0.221966i
\(881\) −1.39633 + 9.71166i −0.0470434 + 0.327194i 0.952687 + 0.303955i \(0.0983071\pi\)
−0.999730 + 0.0232395i \(0.992602\pi\)
\(882\) −0.407169 0.891577i −0.0137101 0.0300210i
\(883\) −36.0532 23.1700i −1.21329 0.779733i −0.232082 0.972696i \(-0.574554\pi\)
−0.981206 + 0.192963i \(0.938190\pi\)
\(884\) 21.9247 14.0901i 0.737407 0.473902i
\(885\) 1.15439 2.52776i 0.0388044 0.0849697i
\(886\) 0.338781 + 0.217721i 0.0113816 + 0.00731449i
\(887\) 31.8417 1.06914 0.534570 0.845124i \(-0.320474\pi\)
0.534570 + 0.845124i \(0.320474\pi\)
\(888\) 2.98875 + 0.877577i 0.100296 + 0.0294496i
\(889\) −14.3040 + 16.5077i −0.479739 + 0.553649i
\(890\) −0.150393 0.173562i −0.00504117 0.00581782i
\(891\) −3.29590 0.788986i −0.110417 0.0264320i
\(892\) −22.7714 + 26.2796i −0.762443 + 0.879906i
\(893\) −1.84074 12.8026i −0.0615979 0.428423i
\(894\) 1.68622 0.495118i 0.0563955 0.0165592i
\(895\) 5.89484 + 12.9079i 0.197043 + 0.431463i
\(896\) 0.922503 + 1.06462i 0.0308186 + 0.0355666i
\(897\) 4.62946 32.1986i 0.154573 1.07508i
\(898\) 0.0761164 + 0.529401i 0.00254004 + 0.0176663i
\(899\) 24.2399 + 53.0780i 0.808446 + 1.77025i
\(900\) −3.90066 + 8.54124i −0.130022 + 0.284708i
\(901\) 45.1140 + 13.2467i 1.50297 + 0.441311i
\(902\) −0.283506 0.295531i −0.00943973 0.00984009i
\(903\) 16.0501 4.71273i 0.534113 0.156830i
\(904\) 0.179396 1.24773i 0.00596662 0.0414988i
\(905\) 2.01603 4.41449i 0.0670151 0.146743i
\(906\) 0.0974941 0.0286268i 0.00323902 0.000951063i
\(907\) 24.1216 7.08274i 0.800944 0.235178i 0.144453 0.989512i \(-0.453858\pi\)
0.656492 + 0.754333i \(0.272040\pi\)
\(908\) 36.4595 10.7055i 1.20995 0.355274i
\(909\) 87.8174 25.7855i 2.91272 0.855251i
\(910\) 0.0579864 0.126973i 0.00192223 0.00420910i
\(911\) −4.90727 + 34.1308i −0.162585 + 1.13080i 0.731152 + 0.682214i \(0.238983\pi\)
−0.893737 + 0.448590i \(0.851926\pi\)
\(912\) −17.2731 + 5.07184i −0.571970 + 0.167946i
\(913\) 12.4552 15.9374i 0.412207 0.527452i
\(914\) −0.728080 0.213784i −0.0240827 0.00707133i
\(915\) −5.01562 + 10.9827i −0.165811 + 0.363076i
\(916\) −5.98269 13.1003i −0.197674 0.432845i
\(917\) 2.54925 + 17.7304i 0.0841838 + 0.585511i
\(918\) −0.102923 + 0.715848i −0.00339698 + 0.0236265i
\(919\) −10.8738 12.5490i −0.358694 0.413955i 0.547508 0.836801i \(-0.315577\pi\)
−0.906202 + 0.422846i \(0.861031\pi\)
\(920\) 0.229243 + 0.501971i 0.00755790 + 0.0165495i
\(921\) 56.1247 16.4797i 1.84937 0.543024i
\(922\) 0.0374597 + 0.260538i 0.00123367 + 0.00858035i
\(923\) 31.3665 36.1989i 1.03244 1.19150i
\(924\) −20.5483 + 7.18179i −0.675989 + 0.236263i
\(925\) −4.93465 5.69489i −0.162250 0.187247i
\(926\) −0.778504 + 0.898442i −0.0255832 + 0.0295246i
\(927\) 33.1508 + 9.73396i 1.08882 + 0.319705i
\(928\) −4.52403 −0.148509
\(929\) 29.0600 + 18.6757i 0.953428 + 0.612731i 0.922172 0.386780i \(-0.126413\pi\)
0.0312563 + 0.999511i \(0.490049\pi\)
\(930\) 0.247431 0.541798i 0.00811358 0.0177663i
\(931\) −7.65659 + 4.92059i −0.250935 + 0.161266i
\(932\) 2.26189 + 1.45363i 0.0740906 + 0.0476151i
\(933\) 6.23924 + 13.6620i 0.204263 + 0.447275i
\(934\) 0.102164 0.710563i 0.00334289 0.0232503i
\(935\) −9.45868 9.85984i −0.309332 0.322451i
\(936\) −0.315316 2.19307i −0.0103064 0.0716828i
\(937\) −39.7045 + 25.5165i −1.29709 + 0.833589i −0.992892 0.119020i \(-0.962025\pi\)
−0.304198 + 0.952609i \(0.598388\pi\)
\(938\) 0.0222612 0.0143064i 0.000726853 0.000467120i
\(939\) 8.68534 60.4079i 0.283435 1.97134i
\(940\) 13.3788 8.59800i 0.436367 0.280436i
\(941\) 43.1713 1.40734 0.703671 0.710526i \(-0.251543\pi\)
0.703671 + 0.710526i \(0.251543\pi\)
\(942\) −0.147709 0.170465i −0.00481261 0.00555405i
\(943\) 1.74689 + 12.1499i 0.0568866 + 0.395655i
\(944\) 2.61807 + 3.02141i 0.0852108 + 0.0983385i
\(945\) −2.31652 5.07247i −0.0753564 0.165008i
\(946\) −0.121009 0.617755i −0.00393436 0.0200849i
\(947\) 15.4729 33.8809i 0.502802 1.10098i −0.472747 0.881198i \(-0.656737\pi\)
0.975549 0.219784i \(-0.0705353\pi\)
\(948\) 45.9553 13.4937i 1.49256 0.438255i
\(949\) 3.75837 26.1401i 0.122002 0.848542i
\(950\) −0.0581113 0.0170630i −0.00188538 0.000553598i
\(951\) −8.11284 56.4261i −0.263077 1.82974i
\(952\) −0.301766 0.660775i −0.00978029 0.0214158i
\(953\) 14.9123 17.2097i 0.483055 0.557476i −0.460941 0.887431i \(-0.652488\pi\)
0.943997 + 0.329955i \(0.107034\pi\)
\(954\) 1.30836 1.50993i 0.0423598 0.0488858i
\(955\) −12.4330 7.99019i −0.402322 0.258557i
\(956\) 39.9468 + 25.6723i 1.29197 + 0.830301i
\(957\) 34.3746 86.6251i 1.11117 2.80019i
\(958\) 0.897138 0.576556i 0.0289852 0.0186277i
\(959\) 18.7792 0.606412
\(960\) −14.4751 16.7051i −0.467181 0.539155i
\(961\) 0.912084 1.99719i 0.0294221 0.0644254i
\(962\) 0.852725 + 0.250383i 0.0274930 + 0.00807266i
\(963\) −12.2115 + 14.0928i −0.393510 + 0.454134i
\(964\) −39.0974 25.1264i −1.25924 0.809267i
\(965\) −3.91075 −0.125891
\(966\) −0.434834 0.127679i −0.0139905 0.00410800i
\(967\) −1.45863 −0.0469065 −0.0234533 0.999725i \(-0.507466\pi\)
−0.0234533 + 0.999725i \(0.507466\pi\)
\(968\) 0.396041 + 1.59028i 0.0127292 + 0.0511136i
\(969\) 18.5793 0.596854
\(970\) 0.246541 + 0.0723910i 0.00791596 + 0.00232434i
\(971\) 2.11431 0.0678515 0.0339257 0.999424i \(-0.489199\pi\)
0.0339257 + 0.999424i \(0.489199\pi\)
\(972\) 28.5323 + 18.3366i 0.915172 + 0.588146i
\(973\) 7.66934 8.85089i 0.245868 0.283747i
\(974\) 0.400909 + 0.117718i 0.0128460 + 0.00377191i
\(975\) −3.64836 + 7.98878i −0.116841 + 0.255846i
\(976\) −11.3751 13.1275i −0.364107 0.420201i
\(977\) −11.0247 −0.352710 −0.176355 0.984327i \(-0.556431\pi\)
−0.176355 + 0.984327i \(0.556431\pi\)
\(978\) −1.38322 + 0.888942i −0.0442305 + 0.0284252i
\(979\) −1.88138 + 20.3558i −0.0601291 + 0.650575i
\(980\) −9.41419 6.05014i −0.300725 0.193264i
\(981\) −40.1075 25.7755i −1.28053 0.822950i
\(982\) 0.673795 0.777601i 0.0215017 0.0248143i
\(983\) 38.4681 44.3946i 1.22694 1.41597i 0.349053 0.937103i \(-0.386503\pi\)
0.877889 0.478864i \(-0.158951\pi\)
\(984\) 0.569080 + 1.24611i 0.0181416 + 0.0397246i
\(985\) 0.448046 + 3.11623i 0.0142759 + 0.0992914i
\(986\) 1.49157 + 0.437965i 0.0475014 + 0.0139477i
\(987\) −3.71868 + 25.8640i −0.118367 + 0.823259i
\(988\) −9.86672 + 2.89713i −0.313902 + 0.0921700i
\(989\) −7.83801 + 17.1628i −0.249234 + 0.545747i
\(990\) −0.548069 + 0.191554i −0.0174188 + 0.00608799i
\(991\) 8.85926 + 19.3991i 0.281424 + 0.616232i 0.996571 0.0827418i \(-0.0263677\pi\)
−0.715147 + 0.698974i \(0.753640\pi\)
\(992\) 1.68541 + 1.94507i 0.0535119 + 0.0617561i
\(993\) −8.73299 60.7393i −0.277133 1.92750i
\(994\) −0.436985 0.504308i −0.0138603 0.0159957i
\(995\) 6.04812 0.191738
\(996\) −28.4502 + 18.2838i −0.901479 + 0.579345i
\(997\) 1.38372 9.62398i 0.0438228 0.304795i −0.956108 0.293015i \(-0.905341\pi\)
0.999931 0.0117793i \(-0.00374956\pi\)
\(998\) 0.0701523 0.0450841i 0.00222063 0.00142711i
\(999\) 29.8679 19.1949i 0.944977 0.607300i
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 605.2.k.b.56.12 220
121.67 even 11 inner 605.2.k.b.551.12 yes 220
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
605.2.k.b.56.12 220 1.1 even 1 trivial
605.2.k.b.551.12 yes 220 121.67 even 11 inner