Properties

Label 378.2.w.a.121.6
Level $378$
Weight $2$
Character 378.121
Analytic conductor $3.018$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [378,2,Mod(25,378)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(378, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([10, 12]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("378.25");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 378 = 2 \cdot 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 378.w (of order \(9\), degree \(6\), 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: \(3.01834519640\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(12\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 121.6
Character \(\chi\) \(=\) 378.121
Dual form 378.2.w.a.25.6

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.939693 - 0.342020i) q^{2} +(-0.195246 + 1.72101i) q^{3} +(0.766044 + 0.642788i) q^{4} +(0.182581 - 0.0664541i) q^{5} +(0.772092 - 1.55044i) q^{6} +(-2.63939 + 0.183356i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(-2.92376 - 0.672041i) q^{9} +O(q^{10})\) \(q+(-0.939693 - 0.342020i) q^{2} +(-0.195246 + 1.72101i) q^{3} +(0.766044 + 0.642788i) q^{4} +(0.182581 - 0.0664541i) q^{5} +(0.772092 - 1.55044i) q^{6} +(-2.63939 + 0.183356i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(-2.92376 - 0.672041i) q^{9} -0.194299 q^{10} +(4.34113 + 1.58004i) q^{11} +(-1.25581 + 1.19287i) q^{12} +(-0.896734 + 5.08563i) q^{13} +(2.54293 + 0.730426i) q^{14} +(0.0787201 + 0.327199i) q^{15} +(0.173648 + 0.984808i) q^{16} -4.90686 q^{17} +(2.51758 + 1.63150i) q^{18} -5.22568 q^{19} +(0.182581 + 0.0664541i) q^{20} +(0.199772 - 4.57822i) q^{21} +(-3.53892 - 2.96951i) q^{22} +(0.935070 - 5.30305i) q^{23} +(1.58806 - 0.691418i) q^{24} +(-3.80130 + 3.18967i) q^{25} +(2.58204 - 4.47223i) q^{26} +(1.72744 - 4.90061i) q^{27} +(-2.13975 - 1.55611i) q^{28} +(0.702296 + 3.98292i) q^{29} +(0.0379361 - 0.334391i) q^{30} +(-5.66589 - 4.75424i) q^{31} +(0.173648 - 0.984808i) q^{32} +(-3.56686 + 7.16264i) q^{33} +(4.61094 + 1.67825i) q^{34} +(-0.469718 + 0.208876i) q^{35} +(-1.80775 - 2.39417i) q^{36} +(4.47139 + 7.74468i) q^{37} +(4.91053 + 1.78729i) q^{38} +(-8.57735 - 2.53624i) q^{39} +(-0.148842 - 0.124893i) q^{40} +(0.766737 - 4.34838i) q^{41} +(-1.75357 + 4.23379i) q^{42} +(-9.22420 + 7.74002i) q^{43} +(2.30987 + 4.00081i) q^{44} +(-0.578483 + 0.0715938i) q^{45} +(-2.69243 + 4.66342i) q^{46} +(-3.15776 + 2.64968i) q^{47} +(-1.72877 + 0.106571i) q^{48} +(6.93276 - 0.967897i) q^{49} +(4.66299 - 1.69719i) q^{50} +(0.958044 - 8.44476i) q^{51} +(-3.95592 + 3.31941i) q^{52} +(3.60328 + 6.24106i) q^{53} +(-3.29937 + 4.01424i) q^{54} +0.897609 q^{55} +(1.47849 + 2.19410i) q^{56} +(1.02029 - 8.99345i) q^{57} +(0.702296 - 3.98292i) q^{58} +(-0.753252 + 4.27191i) q^{59} +(-0.150017 + 0.301249i) q^{60} +(5.88064 - 4.93445i) q^{61} +(3.69814 + 6.40537i) q^{62} +(7.84016 + 1.23769i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(0.174234 + 0.988133i) q^{65} +(5.80152 - 5.51074i) q^{66} +(12.1999 - 4.44039i) q^{67} +(-3.75887 - 3.15407i) q^{68} +(8.94403 + 2.64466i) q^{69} +(0.512831 - 0.0356259i) q^{70} +(4.19642 - 7.26842i) q^{71} +(0.879875 + 2.86807i) q^{72} +(-2.08201 + 3.60614i) q^{73} +(-1.55290 - 8.80692i) q^{74} +(-4.74727 - 7.16485i) q^{75} +(-4.00310 - 3.35900i) q^{76} +(-11.7476 - 3.37438i) q^{77} +(7.19262 + 5.31691i) q^{78} +(5.58069 + 2.03121i) q^{79} +(0.0971494 + 0.168268i) q^{80} +(8.09672 + 3.92977i) q^{81} +(-2.20773 + 3.82390i) q^{82} +(1.24531 + 7.06248i) q^{83} +(3.09586 - 3.37871i) q^{84} +(-0.895901 + 0.326081i) q^{85} +(11.3152 - 4.11838i) q^{86} +(-6.99176 + 0.431010i) q^{87} +(-0.802209 - 4.54955i) q^{88} +8.04412 q^{89} +(0.568083 + 0.130577i) q^{90} +(1.43435 - 13.5874i) q^{91} +(4.12504 - 3.46132i) q^{92} +(9.28835 - 8.82281i) q^{93} +(3.87357 - 1.40986i) q^{94} +(-0.954111 + 0.347268i) q^{95} +(1.66096 + 0.491130i) q^{96} +(-6.79587 + 5.70241i) q^{97} +(-6.84570 - 1.46162i) q^{98} +(-11.6306 - 7.53708i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72 q + 3 q^{6} - 3 q^{7} - 36 q^{8} - 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 72 q + 3 q^{6} - 3 q^{7} - 36 q^{8} - 12 q^{9} + 12 q^{10} - 6 q^{11} - 12 q^{13} - 3 q^{14} - 6 q^{15} + 24 q^{17} + 36 q^{19} - 12 q^{21} - 6 q^{22} + 12 q^{23} - 30 q^{25} - 18 q^{26} - 6 q^{27} + 3 q^{29} + 3 q^{30} + 9 q^{31} - 18 q^{33} + 9 q^{34} + 9 q^{35} + 9 q^{36} + 3 q^{39} - 6 q^{41} + 3 q^{42} + 24 q^{43} - 30 q^{45} - 9 q^{47} - 6 q^{48} + 51 q^{49} + 6 q^{50} + 12 q^{51} + 6 q^{52} - 15 q^{53} - 27 q^{54} + 72 q^{55} + 6 q^{56} - 63 q^{57} + 3 q^{58} + 15 q^{59} - 3 q^{60} - 18 q^{61} - 24 q^{62} - 48 q^{63} - 36 q^{64} - 18 q^{65} - 36 q^{66} + 66 q^{67} - 18 q^{68} - 21 q^{69} - 6 q^{70} + 12 q^{71} - 12 q^{72} - 66 q^{73} + 9 q^{74} + 15 q^{75} - 15 q^{77} + 30 q^{78} + 9 q^{79} - 6 q^{80} - 33 q^{82} - 18 q^{83} - 12 q^{84} + 21 q^{85} - 12 q^{86} - 48 q^{87} + 12 q^{88} + 72 q^{89} + 69 q^{90} + 12 q^{91} + 30 q^{92} + 60 q^{93} - 36 q^{94} + 93 q^{95} - 48 q^{97} + 6 q^{98} - 54 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(325\)
\(\chi(n)\) \(e\left(\frac{4}{9}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.939693 0.342020i −0.664463 0.241845i
\(3\) −0.195246 + 1.72101i −0.112725 + 0.993626i
\(4\) 0.766044 + 0.642788i 0.383022 + 0.321394i
\(5\) 0.182581 0.0664541i 0.0816528 0.0297192i −0.300871 0.953665i \(-0.597277\pi\)
0.382524 + 0.923946i \(0.375055\pi\)
\(6\) 0.772092 1.55044i 0.315205 0.632966i
\(7\) −2.63939 + 0.183356i −0.997596 + 0.0693021i
\(8\) −0.500000 0.866025i −0.176777 0.306186i
\(9\) −2.92376 0.672041i −0.974586 0.224014i
\(10\) −0.194299 −0.0614427
\(11\) 4.34113 + 1.58004i 1.30890 + 0.476401i 0.899885 0.436127i \(-0.143650\pi\)
0.409015 + 0.912528i \(0.365872\pi\)
\(12\) −1.25581 + 1.19287i −0.362522 + 0.344352i
\(13\) −0.896734 + 5.08563i −0.248709 + 1.41050i 0.563009 + 0.826451i \(0.309644\pi\)
−0.811718 + 0.584050i \(0.801467\pi\)
\(14\) 2.54293 + 0.730426i 0.679626 + 0.195215i
\(15\) 0.0787201 + 0.327199i 0.0203254 + 0.0844825i
\(16\) 0.173648 + 0.984808i 0.0434120 + 0.246202i
\(17\) −4.90686 −1.19009 −0.595044 0.803693i \(-0.702865\pi\)
−0.595044 + 0.803693i \(0.702865\pi\)
\(18\) 2.51758 + 1.63150i 0.593400 + 0.384547i
\(19\) −5.22568 −1.19885 −0.599427 0.800430i \(-0.704605\pi\)
−0.599427 + 0.800430i \(0.704605\pi\)
\(20\) 0.182581 + 0.0664541i 0.0408264 + 0.0148596i
\(21\) 0.199772 4.57822i 0.0435938 0.999049i
\(22\) −3.53892 2.96951i −0.754501 0.633101i
\(23\) 0.935070 5.30305i 0.194976 1.10576i −0.717478 0.696581i \(-0.754704\pi\)
0.912454 0.409180i \(-0.134185\pi\)
\(24\) 1.58806 0.691418i 0.324162 0.141135i
\(25\) −3.80130 + 3.18967i −0.760260 + 0.637934i
\(26\) 2.58204 4.47223i 0.506380 0.877077i
\(27\) 1.72744 4.90061i 0.332446 0.943122i
\(28\) −2.13975 1.55611i −0.404375 0.294077i
\(29\) 0.702296 + 3.98292i 0.130413 + 0.739609i 0.977945 + 0.208864i \(0.0669766\pi\)
−0.847532 + 0.530745i \(0.821912\pi\)
\(30\) 0.0379361 0.334391i 0.00692614 0.0610511i
\(31\) −5.66589 4.75424i −1.01762 0.853887i −0.0282962 0.999600i \(-0.509008\pi\)
−0.989327 + 0.145712i \(0.953453\pi\)
\(32\) 0.173648 0.984808i 0.0306970 0.174091i
\(33\) −3.56686 + 7.16264i −0.620910 + 1.24686i
\(34\) 4.61094 + 1.67825i 0.790770 + 0.287817i
\(35\) −0.469718 + 0.208876i −0.0793969 + 0.0353064i
\(36\) −1.80775 2.39417i −0.301292 0.399028i
\(37\) 4.47139 + 7.74468i 0.735092 + 1.27322i 0.954683 + 0.297625i \(0.0961945\pi\)
−0.219591 + 0.975592i \(0.570472\pi\)
\(38\) 4.91053 + 1.78729i 0.796594 + 0.289936i
\(39\) −8.57735 2.53624i −1.37347 0.406123i
\(40\) −0.148842 0.124893i −0.0235339 0.0197473i
\(41\) 0.766737 4.34838i 0.119744 0.679103i −0.864547 0.502552i \(-0.832395\pi\)
0.984291 0.176552i \(-0.0564942\pi\)
\(42\) −1.75357 + 4.23379i −0.270581 + 0.653288i
\(43\) −9.22420 + 7.74002i −1.40668 + 1.18034i −0.448634 + 0.893715i \(0.648089\pi\)
−0.958042 + 0.286627i \(0.907466\pi\)
\(44\) 2.30987 + 4.00081i 0.348226 + 0.603144i
\(45\) −0.578483 + 0.0715938i −0.0862352 + 0.0106726i
\(46\) −2.69243 + 4.66342i −0.396977 + 0.687584i
\(47\) −3.15776 + 2.64968i −0.460607 + 0.386495i −0.843354 0.537358i \(-0.819422\pi\)
0.382747 + 0.923853i \(0.374978\pi\)
\(48\) −1.72877 + 0.106571i −0.249526 + 0.0153822i
\(49\) 6.93276 0.967897i 0.990394 0.138271i
\(50\) 4.66299 1.69719i 0.659446 0.240019i
\(51\) 0.958044 8.44476i 0.134153 1.18250i
\(52\) −3.95592 + 3.31941i −0.548587 + 0.460319i
\(53\) 3.60328 + 6.24106i 0.494949 + 0.857276i 0.999983 0.00582304i \(-0.00185354\pi\)
−0.505034 + 0.863099i \(0.668520\pi\)
\(54\) −3.29937 + 4.01424i −0.448987 + 0.546269i
\(55\) 0.897609 0.121034
\(56\) 1.47849 + 2.19410i 0.197571 + 0.293199i
\(57\) 1.02029 8.99345i 0.135141 1.19121i
\(58\) 0.702296 3.98292i 0.0922159 0.522983i
\(59\) −0.753252 + 4.27191i −0.0980651 + 0.556155i 0.895700 + 0.444659i \(0.146675\pi\)
−0.993765 + 0.111496i \(0.964436\pi\)
\(60\) −0.150017 + 0.301249i −0.0193671 + 0.0388911i
\(61\) 5.88064 4.93445i 0.752939 0.631791i −0.183339 0.983050i \(-0.558691\pi\)
0.936278 + 0.351259i \(0.114246\pi\)
\(62\) 3.69814 + 6.40537i 0.469665 + 0.813483i
\(63\) 7.84016 + 1.23769i 0.987767 + 0.155934i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) 0.174234 + 0.988133i 0.0216111 + 0.122563i
\(66\) 5.80152 5.51074i 0.714117 0.678325i
\(67\) 12.1999 4.44039i 1.49045 0.542480i 0.536882 0.843657i \(-0.319602\pi\)
0.953568 + 0.301178i \(0.0973797\pi\)
\(68\) −3.75887 3.15407i −0.455830 0.382487i
\(69\) 8.94403 + 2.64466i 1.07674 + 0.318380i
\(70\) 0.512831 0.0356259i 0.0612950 0.00425811i
\(71\) 4.19642 7.26842i 0.498024 0.862602i −0.501974 0.864883i \(-0.667393\pi\)
0.999997 + 0.00228062i \(0.000725944\pi\)
\(72\) 0.879875 + 2.86807i 0.103694 + 0.338005i
\(73\) −2.08201 + 3.60614i −0.243680 + 0.422067i −0.961760 0.273894i \(-0.911688\pi\)
0.718079 + 0.695961i \(0.245021\pi\)
\(74\) −1.55290 8.80692i −0.180521 1.02378i
\(75\) −4.74727 7.16485i −0.548168 0.827326i
\(76\) −4.00310 3.35900i −0.459187 0.385304i
\(77\) −11.7476 3.37438i −1.33877 0.384546i
\(78\) 7.19262 + 5.31691i 0.814404 + 0.602021i
\(79\) 5.58069 + 2.03121i 0.627877 + 0.228529i 0.636307 0.771436i \(-0.280461\pi\)
−0.00842991 + 0.999964i \(0.502683\pi\)
\(80\) 0.0971494 + 0.168268i 0.0108616 + 0.0188129i
\(81\) 8.09672 + 3.92977i 0.899636 + 0.436641i
\(82\) −2.20773 + 3.82390i −0.243803 + 0.422279i
\(83\) 1.24531 + 7.06248i 0.136690 + 0.775208i 0.973668 + 0.227971i \(0.0732092\pi\)
−0.836978 + 0.547237i \(0.815680\pi\)
\(84\) 3.09586 3.37871i 0.337786 0.368647i
\(85\) −0.895901 + 0.326081i −0.0971741 + 0.0353685i
\(86\) 11.3152 4.11838i 1.22014 0.444096i
\(87\) −6.99176 + 0.431010i −0.749596 + 0.0462092i
\(88\) −0.802209 4.54955i −0.0855157 0.484984i
\(89\) 8.04412 0.852675 0.426337 0.904564i \(-0.359804\pi\)
0.426337 + 0.904564i \(0.359804\pi\)
\(90\) 0.568083 + 0.130577i 0.0598812 + 0.0137640i
\(91\) 1.43435 13.5874i 0.150361 1.42435i
\(92\) 4.12504 3.46132i 0.430065 0.360867i
\(93\) 9.28835 8.82281i 0.963157 0.914882i
\(94\) 3.87357 1.40986i 0.399528 0.145416i
\(95\) −0.954111 + 0.347268i −0.0978897 + 0.0356289i
\(96\) 1.66096 + 0.491130i 0.169521 + 0.0501258i
\(97\) −6.79587 + 5.70241i −0.690016 + 0.578992i −0.918914 0.394458i \(-0.870932\pi\)
0.228898 + 0.973450i \(0.426488\pi\)
\(98\) −6.84570 1.46162i −0.691521 0.147646i
\(99\) −11.6306 7.53708i −1.16892 0.757505i
\(100\) −4.96225 −0.496225
\(101\) 2.98490 + 16.9282i 0.297009 + 1.68442i 0.658924 + 0.752209i \(0.271012\pi\)
−0.361916 + 0.932211i \(0.617877\pi\)
\(102\) −3.78855 + 7.60781i −0.375122 + 0.753285i
\(103\) 0.716095 0.260637i 0.0705589 0.0256814i −0.306500 0.951871i \(-0.599158\pi\)
0.377058 + 0.926189i \(0.376936\pi\)
\(104\) 4.85265 1.76622i 0.475842 0.173192i
\(105\) −0.267767 0.849173i −0.0261314 0.0828708i
\(106\) −1.25141 7.09708i −0.121547 0.689329i
\(107\) 6.61899 11.4644i 0.639882 1.10831i −0.345576 0.938391i \(-0.612317\pi\)
0.985458 0.169918i \(-0.0543501\pi\)
\(108\) 4.47335 2.64370i 0.430448 0.254391i
\(109\) 2.77831 + 4.81218i 0.266114 + 0.460923i 0.967855 0.251509i \(-0.0809268\pi\)
−0.701741 + 0.712432i \(0.747594\pi\)
\(110\) −0.843477 0.307000i −0.0804224 0.0292713i
\(111\) −14.2017 + 6.18320i −1.34797 + 0.586883i
\(112\) −0.638896 2.56745i −0.0603700 0.242601i
\(113\) −13.3324 11.1872i −1.25421 1.05241i −0.996274 0.0862457i \(-0.972513\pi\)
−0.257937 0.966162i \(-0.583043\pi\)
\(114\) −4.03470 + 8.10212i −0.377885 + 0.758833i
\(115\) −0.181683 1.03038i −0.0169420 0.0960831i
\(116\) −2.02218 + 3.50252i −0.187755 + 0.325201i
\(117\) 6.03959 14.2665i 0.558360 1.31894i
\(118\) 2.16890 3.75665i 0.199664 0.345828i
\(119\) 12.9511 0.899703i 1.18723 0.0824757i
\(120\) 0.244003 0.231773i 0.0222743 0.0211579i
\(121\) 7.92239 + 6.64768i 0.720218 + 0.604334i
\(122\) −7.21368 + 2.62556i −0.653096 + 0.237707i
\(123\) 7.33391 + 2.16857i 0.661277 + 0.195533i
\(124\) −1.28435 7.28392i −0.115338 0.654116i
\(125\) −0.967827 + 1.67633i −0.0865651 + 0.149935i
\(126\) −6.94403 3.84454i −0.618623 0.342499i
\(127\) 4.54867 + 7.87853i 0.403630 + 0.699107i 0.994161 0.107908i \(-0.0344151\pi\)
−0.590531 + 0.807015i \(0.701082\pi\)
\(128\) 0.766044 0.642788i 0.0677094 0.0568149i
\(129\) −11.5197 17.3862i −1.01425 1.53077i
\(130\) 0.174234 0.988133i 0.0152814 0.0866650i
\(131\) −0.578293 + 3.27966i −0.0505257 + 0.286546i −0.999593 0.0285279i \(-0.990918\pi\)
0.949067 + 0.315073i \(0.102029\pi\)
\(132\) −7.33643 + 3.19417i −0.638554 + 0.278016i
\(133\) 13.7926 0.958161i 1.19597 0.0830831i
\(134\) −12.9828 −1.12155
\(135\) −0.0102672 1.00955i −0.000883663 0.0868886i
\(136\) 2.45343 + 4.24947i 0.210380 + 0.364389i
\(137\) 7.08810 5.94763i 0.605578 0.508140i −0.287655 0.957734i \(-0.592876\pi\)
0.893233 + 0.449594i \(0.148431\pi\)
\(138\) −7.50011 5.54421i −0.638452 0.471955i
\(139\) 8.88551 3.23406i 0.753659 0.274309i 0.0635142 0.997981i \(-0.479769\pi\)
0.690145 + 0.723672i \(0.257547\pi\)
\(140\) −0.494088 0.141921i −0.0417580 0.0119945i
\(141\) −3.94359 5.95189i −0.332110 0.501239i
\(142\) −6.42929 + 5.39482i −0.539534 + 0.452723i
\(143\) −11.9284 + 20.6605i −0.997499 + 1.72772i
\(144\) 0.154126 2.99604i 0.0128438 0.249670i
\(145\) 0.392907 + 0.680535i 0.0326292 + 0.0565154i
\(146\) 3.18982 2.67658i 0.263991 0.221515i
\(147\) 0.312168 + 12.1203i 0.0257472 + 0.999668i
\(148\) −1.55290 + 8.80692i −0.127647 + 0.723924i
\(149\) 6.07615 + 5.09850i 0.497778 + 0.417685i 0.856804 0.515642i \(-0.172447\pi\)
−0.359026 + 0.933327i \(0.616891\pi\)
\(150\) 2.01045 + 8.35642i 0.164153 + 0.682299i
\(151\) 5.75737 + 2.09551i 0.468529 + 0.170530i 0.565486 0.824758i \(-0.308689\pi\)
−0.0969571 + 0.995289i \(0.530911\pi\)
\(152\) 2.61284 + 4.52557i 0.211929 + 0.367072i
\(153\) 14.3465 + 3.29761i 1.15984 + 0.266596i
\(154\) 9.88507 + 7.18881i 0.796562 + 0.579291i
\(155\) −1.35042 0.491514i −0.108469 0.0394794i
\(156\) −4.94037 7.45628i −0.395546 0.596980i
\(157\) −0.507263 + 2.87683i −0.0404840 + 0.229596i −0.998336 0.0576664i \(-0.981634\pi\)
0.957852 + 0.287262i \(0.0927451\pi\)
\(158\) −4.54942 3.81742i −0.361933 0.303698i
\(159\) −11.4445 + 4.98274i −0.907605 + 0.395157i
\(160\) −0.0337396 0.191347i −0.00266735 0.0151273i
\(161\) −1.49567 + 14.1683i −0.117875 + 1.11662i
\(162\) −6.26437 6.46202i −0.492175 0.507704i
\(163\) −5.96193 + 10.3264i −0.466974 + 0.808823i −0.999288 0.0377239i \(-0.987989\pi\)
0.532314 + 0.846547i \(0.321323\pi\)
\(164\) 3.38244 2.83820i 0.264124 0.221627i
\(165\) −0.175255 + 1.54480i −0.0136435 + 0.120262i
\(166\) 1.24531 7.06248i 0.0966545 0.548155i
\(167\) −3.21514 2.69782i −0.248795 0.208763i 0.509858 0.860258i \(-0.329698\pi\)
−0.758653 + 0.651495i \(0.774142\pi\)
\(168\) −4.06474 + 2.11610i −0.313602 + 0.163261i
\(169\) −12.8435 4.67466i −0.987963 0.359589i
\(170\) 0.953398 0.0731223
\(171\) 15.2786 + 3.51187i 1.16839 + 0.268559i
\(172\) −12.0413 −0.918143
\(173\) 0.784228 + 4.44758i 0.0596238 + 0.338143i 0.999998 0.00199844i \(-0.000636124\pi\)
−0.940374 + 0.340142i \(0.889525\pi\)
\(174\) 6.71752 + 1.98631i 0.509254 + 0.150582i
\(175\) 9.44827 9.11578i 0.714222 0.689088i
\(176\) −0.802209 + 4.54955i −0.0604687 + 0.342935i
\(177\) −7.20493 2.13043i −0.541556 0.160133i
\(178\) −7.55900 2.75125i −0.566571 0.206215i
\(179\) −19.6273 −1.46701 −0.733505 0.679684i \(-0.762117\pi\)
−0.733505 + 0.679684i \(0.762117\pi\)
\(180\) −0.489163 0.316998i −0.0364601 0.0236276i
\(181\) −4.03731 6.99282i −0.300091 0.519772i 0.676066 0.736842i \(-0.263684\pi\)
−0.976156 + 0.217069i \(0.930350\pi\)
\(182\) −5.99501 + 12.2774i −0.444380 + 0.910061i
\(183\) 7.34406 + 11.0841i 0.542889 + 0.819359i
\(184\) −5.06011 + 1.84173i −0.373036 + 0.135774i
\(185\) 1.33106 + 1.11689i 0.0978613 + 0.0821154i
\(186\) −11.7458 + 5.11392i −0.861241 + 0.374971i
\(187\) −21.3013 7.75305i −1.55771 0.566959i
\(188\) −4.12217 −0.300640
\(189\) −3.66083 + 13.2514i −0.266287 + 0.963894i
\(190\) 1.01534 0.0736608
\(191\) −3.19500 1.16289i −0.231182 0.0841434i 0.223832 0.974628i \(-0.428143\pi\)
−0.455014 + 0.890484i \(0.650366\pi\)
\(192\) −1.39282 1.02959i −0.100518 0.0743045i
\(193\) 2.02187 + 1.69655i 0.145538 + 0.122121i 0.712650 0.701520i \(-0.247495\pi\)
−0.567112 + 0.823641i \(0.691939\pi\)
\(194\) 8.33637 3.03419i 0.598516 0.217842i
\(195\) −1.73461 + 0.106931i −0.124218 + 0.00765746i
\(196\) 5.93296 + 3.71484i 0.423783 + 0.265346i
\(197\) −1.63189 2.82651i −0.116267 0.201381i 0.802018 0.597299i \(-0.203760\pi\)
−0.918286 + 0.395919i \(0.870426\pi\)
\(198\) 8.35132 + 11.0604i 0.593503 + 0.786030i
\(199\) 10.7003 0.758525 0.379263 0.925289i \(-0.376178\pi\)
0.379263 + 0.925289i \(0.376178\pi\)
\(200\) 4.66299 + 1.69719i 0.329723 + 0.120009i
\(201\) 5.25998 + 21.8631i 0.371011 + 1.54210i
\(202\) 2.98490 16.9282i 0.210017 1.19106i
\(203\) −2.58392 10.3837i −0.181356 0.728793i
\(204\) 6.16209 5.85324i 0.431433 0.409809i
\(205\) −0.148976 0.844886i −0.0104049 0.0590094i
\(206\) −0.762053 −0.0530947
\(207\) −6.29778 + 14.8764i −0.437726 + 1.03398i
\(208\) −5.16409 −0.358065
\(209\) −22.6854 8.25680i −1.56918 0.571135i
\(210\) −0.0388155 + 0.889543i −0.00267852 + 0.0613843i
\(211\) −15.8841 13.3284i −1.09351 0.917563i −0.0965376 0.995329i \(-0.530777\pi\)
−0.996972 + 0.0777662i \(0.975221\pi\)
\(212\) −1.25141 + 7.09708i −0.0859469 + 0.487429i
\(213\) 11.6897 + 8.64122i 0.800964 + 0.592086i
\(214\) −10.1409 + 8.50921i −0.693216 + 0.581678i
\(215\) −1.16981 + 2.02617i −0.0797803 + 0.138184i
\(216\) −5.10777 + 0.954295i −0.347540 + 0.0649316i
\(217\) 15.8262 + 11.5094i 1.07435 + 0.781311i
\(218\) −0.964898 5.47221i −0.0653512 0.370625i
\(219\) −5.79971 4.28724i −0.391908 0.289705i
\(220\) 0.687609 + 0.576972i 0.0463586 + 0.0388995i
\(221\) 4.40015 24.9545i 0.295986 1.67862i
\(222\) 15.4600 0.953039i 1.03761 0.0639638i
\(223\) 6.07337 + 2.21053i 0.406703 + 0.148028i 0.537267 0.843412i \(-0.319457\pi\)
−0.130564 + 0.991440i \(0.541679\pi\)
\(224\) −0.277755 + 2.63113i −0.0185583 + 0.175800i
\(225\) 13.2577 6.77120i 0.883845 0.451413i
\(226\) 8.70213 + 15.0725i 0.578857 + 1.00261i
\(227\) −5.80117 2.11145i −0.385037 0.140142i 0.142247 0.989831i \(-0.454567\pi\)
−0.527284 + 0.849689i \(0.676790\pi\)
\(228\) 6.56247 6.23355i 0.434610 0.412827i
\(229\) 12.5422 + 10.5242i 0.828813 + 0.695457i 0.955018 0.296548i \(-0.0958353\pi\)
−0.126205 + 0.992004i \(0.540280\pi\)
\(230\) −0.181683 + 1.03038i −0.0119798 + 0.0679410i
\(231\) 8.10102 19.5590i 0.533008 1.28689i
\(232\) 3.09816 2.59966i 0.203404 0.170676i
\(233\) 2.30835 + 3.99819i 0.151225 + 0.261930i 0.931678 0.363285i \(-0.118345\pi\)
−0.780453 + 0.625215i \(0.785011\pi\)
\(234\) −10.5548 + 11.3405i −0.689988 + 0.741350i
\(235\) −0.400466 + 0.693628i −0.0261235 + 0.0452473i
\(236\) −3.32295 + 2.78829i −0.216306 + 0.181502i
\(237\) −4.58534 + 9.20785i −0.297850 + 0.598114i
\(238\) −12.4778 3.58410i −0.808815 0.232323i
\(239\) −3.79727 + 1.38209i −0.245625 + 0.0894002i −0.461899 0.886932i \(-0.652832\pi\)
0.216274 + 0.976333i \(0.430610\pi\)
\(240\) −0.308559 + 0.134342i −0.0199174 + 0.00867172i
\(241\) −18.1591 + 15.2373i −1.16973 + 0.981520i −0.999992 0.00396921i \(-0.998737\pi\)
−0.169738 + 0.985489i \(0.554292\pi\)
\(242\) −5.17098 8.95639i −0.332403 0.575739i
\(243\) −8.34403 + 13.1673i −0.535270 + 0.844681i
\(244\) 7.67664 0.491446
\(245\) 1.20147 0.637430i 0.0767592 0.0407239i
\(246\) −6.14993 4.54613i −0.392105 0.289851i
\(247\) 4.68605 26.5759i 0.298166 1.69098i
\(248\) −1.28435 + 7.28392i −0.0815564 + 0.462530i
\(249\) −12.3978 + 0.764265i −0.785675 + 0.0484333i
\(250\) 1.48280 1.24421i 0.0937803 0.0786910i
\(251\) −12.0184 20.8164i −0.758592 1.31392i −0.943569 0.331177i \(-0.892554\pi\)
0.184976 0.982743i \(-0.440779\pi\)
\(252\) 5.21034 + 5.98768i 0.328221 + 0.377189i
\(253\) 12.4383 21.5438i 0.781989 1.35445i
\(254\) −1.57974 8.95914i −0.0991216 0.562146i
\(255\) −0.386268 1.60552i −0.0241891 0.100542i
\(256\) −0.939693 + 0.342020i −0.0587308 + 0.0213763i
\(257\) 4.01053 + 3.36523i 0.250170 + 0.209918i 0.759245 0.650804i \(-0.225568\pi\)
−0.509076 + 0.860722i \(0.670013\pi\)
\(258\) 4.87854 + 20.2776i 0.303725 + 1.26243i
\(259\) −13.2218 19.6214i −0.821561 1.21921i
\(260\) −0.501688 + 0.868949i −0.0311134 + 0.0538899i
\(261\) 0.623339 12.1171i 0.0385837 0.750027i
\(262\) 1.66513 2.88409i 0.102872 0.178180i
\(263\) 0.977554 + 5.54398i 0.0602786 + 0.341857i 1.00000 8.42321e-5i \(-2.68119e-5\pi\)
−0.939721 + 0.341941i \(0.888916\pi\)
\(264\) 7.98646 0.492329i 0.491532 0.0303007i
\(265\) 1.07264 + 0.900048i 0.0658915 + 0.0552895i
\(266\) −13.2885 3.81697i −0.814772 0.234034i
\(267\) −1.57058 + 13.8440i −0.0961180 + 0.847240i
\(268\) 12.1999 + 4.44039i 0.745225 + 0.271240i
\(269\) 0.645983 + 1.11888i 0.0393863 + 0.0682190i 0.885047 0.465503i \(-0.154126\pi\)
−0.845660 + 0.533722i \(0.820793\pi\)
\(270\) −0.335640 + 0.952182i −0.0204264 + 0.0579480i
\(271\) 3.54979 6.14842i 0.215634 0.373490i −0.737834 0.674982i \(-0.764151\pi\)
0.953469 + 0.301492i \(0.0974847\pi\)
\(272\) −0.852067 4.83231i −0.0516642 0.293002i
\(273\) 23.1040 + 5.12141i 1.39832 + 0.309962i
\(274\) −8.69485 + 3.16467i −0.525275 + 0.191184i
\(275\) −21.5418 + 7.84056i −1.29902 + 0.472804i
\(276\) 5.15157 + 7.77504i 0.310088 + 0.468003i
\(277\) −1.80074 10.2125i −0.108196 0.613611i −0.989895 0.141799i \(-0.954711\pi\)
0.881699 0.471812i \(-0.156400\pi\)
\(278\) −9.45576 −0.567119
\(279\) 13.3706 + 17.7080i 0.800479 + 1.06015i
\(280\) 0.415751 + 0.302350i 0.0248459 + 0.0180689i
\(281\) 0.712587 0.597931i 0.0425094 0.0356696i −0.621285 0.783584i \(-0.713389\pi\)
0.663795 + 0.747915i \(0.268945\pi\)
\(282\) 1.67009 + 6.94173i 0.0994526 + 0.413374i
\(283\) 6.58895 2.39818i 0.391672 0.142557i −0.138674 0.990338i \(-0.544284\pi\)
0.530346 + 0.847781i \(0.322062\pi\)
\(284\) 7.88669 2.87052i 0.467989 0.170334i
\(285\) −0.411366 1.70984i −0.0243672 0.101282i
\(286\) 18.2753 15.3348i 1.08064 0.906766i
\(287\) −1.22642 + 11.6177i −0.0723930 + 0.685769i
\(288\) −1.16954 + 2.76264i −0.0689156 + 0.162790i
\(289\) 7.07728 0.416311
\(290\) −0.136455 0.773876i −0.00801293 0.0454436i
\(291\) −8.48705 12.8091i −0.497520 0.750885i
\(292\) −3.91289 + 1.42418i −0.228985 + 0.0833436i
\(293\) −21.1293 + 7.69042i −1.23438 + 0.449279i −0.875097 0.483948i \(-0.839202\pi\)
−0.359287 + 0.933227i \(0.616980\pi\)
\(294\) 3.85206 11.4962i 0.224657 0.670470i
\(295\) 0.146356 + 0.830027i 0.00852118 + 0.0483260i
\(296\) 4.47139 7.74468i 0.259894 0.450150i
\(297\) 15.2422 18.5447i 0.884443 1.07608i
\(298\) −3.96593 6.86919i −0.229740 0.397921i
\(299\) 26.1308 + 9.51085i 1.51119 + 0.550026i
\(300\) 0.968859 8.54008i 0.0559371 0.493062i
\(301\) 22.9271 22.1202i 1.32149 1.27499i
\(302\) −4.69346 3.93828i −0.270078 0.226622i
\(303\) −29.7164 + 1.83188i −1.70716 + 0.105239i
\(304\) −0.907430 5.14629i −0.0520447 0.295160i
\(305\) 0.745781 1.29173i 0.0427033 0.0739643i
\(306\) −12.3534 8.00552i −0.706198 0.457645i
\(307\) −2.99691 + 5.19080i −0.171043 + 0.296255i −0.938785 0.344504i \(-0.888047\pi\)
0.767742 + 0.640759i \(0.221380\pi\)
\(308\) −6.83021 10.1362i −0.389188 0.577562i
\(309\) 0.308745 + 1.28330i 0.0175639 + 0.0730042i
\(310\) 1.10088 + 0.923744i 0.0625255 + 0.0524651i
\(311\) 20.7453 7.55069i 1.17636 0.428160i 0.321445 0.946928i \(-0.395831\pi\)
0.854915 + 0.518768i \(0.173609\pi\)
\(312\) 2.09223 + 8.69632i 0.118449 + 0.492332i
\(313\) −0.387063 2.19514i −0.0218781 0.124077i 0.971913 0.235342i \(-0.0756209\pi\)
−0.993791 + 0.111265i \(0.964510\pi\)
\(314\) 1.46060 2.52984i 0.0824267 0.142767i
\(315\) 1.51372 0.295032i 0.0852882 0.0166232i
\(316\) 2.96943 + 5.14320i 0.167043 + 0.289327i
\(317\) 7.58522 6.36475i 0.426028 0.357480i −0.404422 0.914572i \(-0.632527\pi\)
0.830451 + 0.557092i \(0.188083\pi\)
\(318\) 12.4585 0.768009i 0.698637 0.0430678i
\(319\) −3.24442 + 18.4000i −0.181653 + 1.03020i
\(320\) −0.0337396 + 0.191347i −0.00188610 + 0.0106966i
\(321\) 18.4381 + 13.6297i 1.02911 + 0.760738i
\(322\) 6.25130 12.8023i 0.348371 0.713442i
\(323\) 25.6417 1.42674
\(324\) 3.67644 + 8.21485i 0.204247 + 0.456381i
\(325\) −12.8127 22.1923i −0.710723 1.23101i
\(326\) 9.13420 7.66451i 0.505897 0.424498i
\(327\) −8.82427 + 3.84195i −0.487983 + 0.212460i
\(328\) −4.14918 + 1.51018i −0.229100 + 0.0833856i
\(329\) 7.84874 7.57253i 0.432715 0.417487i
\(330\) 0.693037 1.39169i 0.0381504 0.0766101i
\(331\) −21.0594 + 17.6709i −1.15753 + 0.971281i −0.999869 0.0162130i \(-0.994839\pi\)
−0.157659 + 0.987494i \(0.550395\pi\)
\(332\) −3.58572 + 6.21064i −0.196792 + 0.340853i
\(333\) −7.86853 25.6485i −0.431193 1.40553i
\(334\) 2.09853 + 3.63476i 0.114826 + 0.198885i
\(335\) 1.93238 1.62146i 0.105577 0.0885900i
\(336\) 4.54336 0.598262i 0.247860 0.0326379i
\(337\) −4.06682 + 23.0641i −0.221534 + 1.25638i 0.647667 + 0.761923i \(0.275745\pi\)
−0.869201 + 0.494458i \(0.835366\pi\)
\(338\) 10.4701 + 8.78549i 0.569500 + 0.477867i
\(339\) 21.8565 20.7610i 1.18708 1.12758i
\(340\) −0.895901 0.326081i −0.0485870 0.0176842i
\(341\) −17.0844 29.5911i −0.925175 1.60245i
\(342\) −13.1561 8.52568i −0.711399 0.461016i
\(343\) −18.1208 + 3.82582i −0.978431 + 0.206575i
\(344\) 11.3152 + 4.11838i 0.610072 + 0.222048i
\(345\) 1.80876 0.111502i 0.0973804 0.00600306i
\(346\) 0.784228 4.44758i 0.0421604 0.239103i
\(347\) −5.45656 4.57860i −0.292924 0.245792i 0.484468 0.874809i \(-0.339013\pi\)
−0.777392 + 0.629017i \(0.783458\pi\)
\(348\) −5.63305 4.16405i −0.301963 0.223216i
\(349\) 3.49456 + 19.8186i 0.187059 + 1.06087i 0.923281 + 0.384126i \(0.125497\pi\)
−0.736221 + 0.676741i \(0.763392\pi\)
\(350\) −11.9963 + 5.33453i −0.641227 + 0.285143i
\(351\) 23.3736 + 13.1797i 1.24759 + 0.703479i
\(352\) 2.30987 4.00081i 0.123116 0.213244i
\(353\) −26.5799 + 22.3032i −1.41470 + 1.18708i −0.460598 + 0.887609i \(0.652365\pi\)
−0.954106 + 0.299469i \(0.903191\pi\)
\(354\) 6.04177 + 4.46618i 0.321116 + 0.237375i
\(355\) 0.283172 1.60595i 0.0150292 0.0852348i
\(356\) 6.16215 + 5.17066i 0.326593 + 0.274044i
\(357\) −0.980254 + 22.4647i −0.0518805 + 1.18896i
\(358\) 18.4436 + 6.71292i 0.974774 + 0.354789i
\(359\) 15.0965 0.796761 0.398380 0.917220i \(-0.369572\pi\)
0.398380 + 0.917220i \(0.369572\pi\)
\(360\) 0.351244 + 0.465184i 0.0185122 + 0.0245174i
\(361\) 8.30773 0.437249
\(362\) 1.40214 + 7.95194i 0.0736950 + 0.417945i
\(363\) −12.9875 + 12.3366i −0.681669 + 0.647503i
\(364\) 9.83258 9.48656i 0.515367 0.497231i
\(365\) −0.140492 + 0.796772i −0.00735371 + 0.0417049i
\(366\) −3.11018 12.9274i −0.162572 0.675729i
\(367\) −17.7066 6.44468i −0.924278 0.336410i −0.164339 0.986404i \(-0.552549\pi\)
−0.759939 + 0.649994i \(0.774771\pi\)
\(368\) 5.38485 0.280705
\(369\) −5.16404 + 12.1983i −0.268829 + 0.635020i
\(370\) −0.868786 1.50478i −0.0451660 0.0782299i
\(371\) −10.6548 15.8119i −0.553170 0.820914i
\(372\) 12.7865 0.788228i 0.662948 0.0408677i
\(373\) −14.3618 + 5.22727i −0.743627 + 0.270658i −0.685921 0.727676i \(-0.740601\pi\)
−0.0577054 + 0.998334i \(0.518378\pi\)
\(374\) 17.3650 + 14.5710i 0.897923 + 0.753447i
\(375\) −2.69601 1.99294i −0.139221 0.102915i
\(376\) 3.87357 + 1.40986i 0.199764 + 0.0727082i
\(377\) −20.8854 −1.07565
\(378\) 7.97229 11.2001i 0.410050 0.576072i
\(379\) −3.19239 −0.163982 −0.0819910 0.996633i \(-0.526128\pi\)
−0.0819910 + 0.996633i \(0.526128\pi\)
\(380\) −0.954111 0.347268i −0.0489449 0.0178145i
\(381\) −14.4472 + 6.29007i −0.740150 + 0.322250i
\(382\) 2.60459 + 2.18551i 0.133262 + 0.111820i
\(383\) 32.4190 11.7995i 1.65653 0.602929i 0.666721 0.745308i \(-0.267697\pi\)
0.989812 + 0.142379i \(0.0454752\pi\)
\(384\) 0.956678 + 1.44387i 0.0488202 + 0.0736823i
\(385\) −2.36914 + 0.164582i −0.120743 + 0.00838789i
\(386\) −1.31968 2.28576i −0.0671702 0.116342i
\(387\) 32.1709 16.4309i 1.63534 0.835230i
\(388\) −8.87138 −0.450376
\(389\) 22.3721 + 8.14278i 1.13431 + 0.412855i 0.839856 0.542810i \(-0.182640\pi\)
0.294455 + 0.955665i \(0.404862\pi\)
\(390\) 1.66657 + 0.492788i 0.0843900 + 0.0249533i
\(391\) −4.58826 + 26.0213i −0.232038 + 1.31595i
\(392\) −4.30460 5.52000i −0.217415 0.278802i
\(393\) −5.53143 1.63559i −0.279024 0.0825046i
\(394\) 0.566749 + 3.21419i 0.0285524 + 0.161929i
\(395\) 1.15391 0.0580596
\(396\) −4.06479 13.2497i −0.204263 0.665823i
\(397\) 10.5520 0.529590 0.264795 0.964305i \(-0.414696\pi\)
0.264795 + 0.964305i \(0.414696\pi\)
\(398\) −10.0550 3.65972i −0.504012 0.183445i
\(399\) −1.04395 + 23.9243i −0.0522626 + 1.19771i
\(400\) −3.80130 3.18967i −0.190065 0.159484i
\(401\) 3.25473 18.4585i 0.162533 0.921773i −0.789038 0.614345i \(-0.789420\pi\)
0.951571 0.307428i \(-0.0994685\pi\)
\(402\) 2.53484 22.3436i 0.126426 1.11440i
\(403\) 29.2591 24.5513i 1.45750 1.22299i
\(404\) −8.59468 + 14.8864i −0.427601 + 0.740627i
\(405\) 1.73946 + 0.179441i 0.0864344 + 0.00891651i
\(406\) −1.12334 + 10.6412i −0.0557504 + 0.528116i
\(407\) 7.17398 + 40.6856i 0.355601 + 2.01671i
\(408\) −7.79240 + 3.39269i −0.385781 + 0.167963i
\(409\) −5.01829 4.21084i −0.248138 0.208213i 0.510232 0.860037i \(-0.329560\pi\)
−0.758370 + 0.651824i \(0.774004\pi\)
\(410\) −0.148976 + 0.844886i −0.00735741 + 0.0417259i
\(411\) 8.85201 + 13.3600i 0.436637 + 0.658998i
\(412\) 0.716095 + 0.260637i 0.0352795 + 0.0128407i
\(413\) 1.20485 11.4133i 0.0592866 0.561614i
\(414\) 11.0060 11.8253i 0.540916 0.581181i
\(415\) 0.696701 + 1.20672i 0.0341997 + 0.0592356i
\(416\) 4.85265 + 1.76622i 0.237921 + 0.0865961i
\(417\) 3.83099 + 15.9235i 0.187605 + 0.779777i
\(418\) 18.4933 + 15.5177i 0.904536 + 0.758996i
\(419\) 1.56895 8.89798i 0.0766484 0.434695i −0.922200 0.386714i \(-0.873610\pi\)
0.998848 0.0479810i \(-0.0152787\pi\)
\(420\) 0.340716 0.822621i 0.0166252 0.0401398i
\(421\) 5.74301 4.81896i 0.279897 0.234862i −0.492021 0.870583i \(-0.663742\pi\)
0.771919 + 0.635721i \(0.219297\pi\)
\(422\) 10.3676 + 17.9573i 0.504689 + 0.874146i
\(423\) 11.0132 5.62487i 0.535482 0.273491i
\(424\) 3.60328 6.24106i 0.174991 0.303093i
\(425\) 18.6525 15.6513i 0.904777 0.759198i
\(426\) −8.02924 12.1182i −0.389018 0.587129i
\(427\) −14.6166 + 14.1022i −0.707345 + 0.682452i
\(428\) 12.4396 4.52766i 0.601292 0.218853i
\(429\) −33.2280 24.5627i −1.60426 1.18590i
\(430\) 1.79225 1.50388i 0.0864300 0.0725234i
\(431\) 9.43335 + 16.3390i 0.454388 + 0.787024i 0.998653 0.0518899i \(-0.0165245\pi\)
−0.544264 + 0.838914i \(0.683191\pi\)
\(432\) 5.12612 + 0.850216i 0.246631 + 0.0409060i
\(433\) 30.3589 1.45896 0.729478 0.684004i \(-0.239763\pi\)
0.729478 + 0.684004i \(0.239763\pi\)
\(434\) −10.9353 16.2282i −0.524912 0.778979i
\(435\) −1.24792 + 0.543326i −0.0598333 + 0.0260505i
\(436\) −0.964898 + 5.47221i −0.0462102 + 0.262071i
\(437\) −4.88638 + 27.7120i −0.233747 + 1.32565i
\(438\) 3.98362 + 6.01230i 0.190345 + 0.287279i
\(439\) −5.73565 + 4.81279i −0.273748 + 0.229702i −0.769318 0.638866i \(-0.779404\pi\)
0.495570 + 0.868568i \(0.334959\pi\)
\(440\) −0.448805 0.777352i −0.0213959 0.0370588i
\(441\) −20.9202 1.82920i −0.996199 0.0871048i
\(442\) −12.6697 + 21.9446i −0.602637 + 1.04380i
\(443\) −6.71785 38.0988i −0.319175 1.81013i −0.547794 0.836614i \(-0.684532\pi\)
0.228619 0.973516i \(-0.426579\pi\)
\(444\) −14.8536 4.39207i −0.704921 0.208438i
\(445\) 1.46870 0.534565i 0.0696233 0.0253408i
\(446\) −4.95106 4.15443i −0.234439 0.196718i
\(447\) −9.96091 + 9.46166i −0.471135 + 0.447521i
\(448\) 1.16090 2.37746i 0.0548476 0.112324i
\(449\) 1.03306 1.78931i 0.0487529 0.0844426i −0.840619 0.541627i \(-0.817809\pi\)
0.889372 + 0.457184i \(0.151142\pi\)
\(450\) −14.7740 + 1.82845i −0.696454 + 0.0861940i
\(451\) 10.1991 17.6654i 0.480258 0.831832i
\(452\) −3.02222 17.1399i −0.142153 0.806191i
\(453\) −4.73051 + 9.49937i −0.222259 + 0.446319i
\(454\) 4.72916 + 3.96823i 0.221950 + 0.186238i
\(455\) −0.641053 2.57612i −0.0300530 0.120770i
\(456\) −8.29871 + 3.61313i −0.388622 + 0.169200i
\(457\) −10.6297 3.86890i −0.497237 0.180979i 0.0812141 0.996697i \(-0.474120\pi\)
−0.578451 + 0.815717i \(0.696342\pi\)
\(458\) −8.18635 14.1792i −0.382523 0.662549i
\(459\) −8.47631 + 24.0466i −0.395640 + 1.12240i
\(460\) 0.523136 0.906097i 0.0243913 0.0422470i
\(461\) −0.284378 1.61279i −0.0132448 0.0751151i 0.977469 0.211079i \(-0.0676979\pi\)
−0.990714 + 0.135964i \(0.956587\pi\)
\(462\) −14.3020 + 15.6087i −0.665391 + 0.726184i
\(463\) −14.4848 + 5.27205i −0.673168 + 0.245013i −0.655911 0.754838i \(-0.727715\pi\)
−0.0172565 + 0.999851i \(0.505493\pi\)
\(464\) −3.80045 + 1.38325i −0.176432 + 0.0642159i
\(465\) 1.10957 2.22813i 0.0514549 0.103327i
\(466\) −0.801683 4.54657i −0.0371372 0.210616i
\(467\) −6.85963 −0.317426 −0.158713 0.987325i \(-0.550734\pi\)
−0.158713 + 0.987325i \(0.550734\pi\)
\(468\) 13.7969 7.04662i 0.637763 0.325730i
\(469\) −31.3860 + 13.9568i −1.44927 + 0.644467i
\(470\) 0.613550 0.514830i 0.0283009 0.0237473i
\(471\) −4.85201 1.43469i −0.223569 0.0661072i
\(472\) 4.07621 1.48362i 0.187623 0.0682890i
\(473\) −52.2730 + 19.0258i −2.40352 + 0.874808i
\(474\) 7.45808 7.08427i 0.342561 0.325391i
\(475\) 19.8644 16.6682i 0.911441 0.764790i
\(476\) 10.4995 + 7.63561i 0.481242 + 0.349977i
\(477\) −6.34087 20.6689i −0.290329 0.946365i
\(478\) 4.04097 0.184830
\(479\) −4.41900 25.0614i −0.201909 1.14509i −0.902230 0.431256i \(-0.858071\pi\)
0.700320 0.713829i \(-0.253041\pi\)
\(480\) 0.335898 0.0207066i 0.0153316 0.000945122i
\(481\) −43.3962 + 15.7949i −1.97870 + 0.720187i
\(482\) 22.2754 8.10759i 1.01462 0.369291i
\(483\) −24.0917 5.34036i −1.09621 0.242995i
\(484\) 1.79586 + 10.1848i 0.0816300 + 0.462947i
\(485\) −0.861849 + 1.49277i −0.0391346 + 0.0677830i
\(486\) 12.3443 9.51937i 0.559949 0.431807i
\(487\) −3.74032 6.47842i −0.169490 0.293565i 0.768751 0.639549i \(-0.220879\pi\)
−0.938241 + 0.345983i \(0.887545\pi\)
\(488\) −7.21368 2.62556i −0.326548 0.118854i
\(489\) −16.6077 12.2767i −0.751028 0.555173i
\(490\) −1.34703 + 0.188061i −0.0608525 + 0.00849574i
\(491\) 2.79606 + 2.34618i 0.126185 + 0.105881i 0.703696 0.710501i \(-0.251532\pi\)
−0.577511 + 0.816383i \(0.695976\pi\)
\(492\) 4.22417 + 6.37537i 0.190440 + 0.287424i
\(493\) −3.44607 19.5436i −0.155203 0.880200i
\(494\) −13.4929 + 23.3704i −0.607076 + 1.05149i
\(495\) −2.62439 0.603230i −0.117958 0.0271132i
\(496\) 3.69814 6.40537i 0.166052 0.287610i
\(497\) −9.74329 + 19.9536i −0.437046 + 0.895042i
\(498\) 11.9115 + 3.52211i 0.533766 + 0.157829i
\(499\) 10.1215 + 8.49293i 0.453100 + 0.380196i 0.840585 0.541680i \(-0.182212\pi\)
−0.387485 + 0.921876i \(0.626656\pi\)
\(500\) −1.81892 + 0.662033i −0.0813445 + 0.0296070i
\(501\) 5.27072 5.00655i 0.235478 0.223676i
\(502\) 4.17393 + 23.6715i 0.186292 + 1.05651i
\(503\) −0.209877 + 0.363518i −0.00935797 + 0.0162085i −0.870666 0.491874i \(-0.836312\pi\)
0.861308 + 0.508082i \(0.169645\pi\)
\(504\) −2.84821 7.40862i −0.126869 0.330006i
\(505\) 1.66994 + 2.89241i 0.0743112 + 0.128711i
\(506\) −19.0566 + 15.9904i −0.847168 + 0.710859i
\(507\) 10.5528 21.1911i 0.468666 0.941131i
\(508\) −1.57974 + 8.95914i −0.0700895 + 0.397497i
\(509\) −6.48328 + 36.7685i −0.287366 + 1.62974i 0.409342 + 0.912381i \(0.365758\pi\)
−0.696708 + 0.717354i \(0.745353\pi\)
\(510\) −0.186147 + 1.64081i −0.00824273 + 0.0726562i
\(511\) 4.83402 9.89976i 0.213844 0.437940i
\(512\) 1.00000 0.0441942
\(513\) −9.02706 + 25.6090i −0.398554 + 1.13067i
\(514\) −2.61769 4.53397i −0.115461 0.199985i
\(515\) 0.113425 0.0951750i 0.00499811 0.00419391i
\(516\) 2.35102 20.7233i 0.103498 0.912291i
\(517\) −17.8949 + 6.51320i −0.787015 + 0.286450i
\(518\) 5.71351 + 22.9602i 0.251037 + 1.00881i
\(519\) −7.80745 + 0.481294i −0.342709 + 0.0211264i
\(520\) 0.768631 0.644958i 0.0337067 0.0282833i
\(521\) 21.3864 37.0423i 0.936953 1.62285i 0.165840 0.986153i \(-0.446966\pi\)
0.771113 0.636698i \(-0.219700\pi\)
\(522\) −4.73002 + 11.1731i −0.207028 + 0.489034i
\(523\) −13.6151 23.5821i −0.595347 1.03117i −0.993498 0.113852i \(-0.963681\pi\)
0.398150 0.917320i \(-0.369652\pi\)
\(524\) −2.55113 + 2.14065i −0.111446 + 0.0935147i
\(525\) 13.8436 + 18.0404i 0.604185 + 0.787348i
\(526\) 0.977554 5.54398i 0.0426234 0.241729i
\(527\) 27.8017 + 23.3284i 1.21106 + 1.01620i
\(528\) −7.67320 2.26889i −0.333933 0.0987408i
\(529\) −5.63501 2.05098i −0.245001 0.0891729i
\(530\) −0.700113 1.21263i −0.0304110 0.0526734i
\(531\) 5.07322 11.9838i 0.220159 0.520053i
\(532\) 11.1816 + 8.13172i 0.484786 + 0.352555i
\(533\) 21.4267 + 7.79869i 0.928094 + 0.337799i
\(534\) 6.21080 12.4719i 0.268767 0.539714i
\(535\) 0.446645 2.53305i 0.0193101 0.109513i
\(536\) −9.94542 8.34520i −0.429577 0.360458i
\(537\) 3.83214 33.7787i 0.165369 1.45766i
\(538\) −0.224348 1.27234i −0.00967231 0.0548544i
\(539\) 31.6253 + 6.75229i 1.36220 + 0.290842i
\(540\) 0.641064 0.779963i 0.0275870 0.0335643i
\(541\) −8.82208 + 15.2803i −0.379291 + 0.656951i −0.990959 0.134163i \(-0.957165\pi\)
0.611668 + 0.791114i \(0.290499\pi\)
\(542\) −5.43859 + 4.56352i −0.233608 + 0.196020i
\(543\) 12.8230 5.58293i 0.550287 0.239587i
\(544\) −0.852067 + 4.83231i −0.0365321 + 0.207184i
\(545\) 0.827057 + 0.693983i 0.0354272 + 0.0297270i
\(546\) −19.9590 12.7146i −0.854168 0.544134i
\(547\) 12.2415 + 4.45553i 0.523408 + 0.190505i 0.590192 0.807263i \(-0.299052\pi\)
−0.0667847 + 0.997767i \(0.521274\pi\)
\(548\) 9.25286 0.395263
\(549\) −20.5097 + 10.4751i −0.875334 + 0.447066i
\(550\) 22.9243 0.977494
\(551\) −3.66997 20.8134i −0.156346 0.886683i
\(552\) −2.18167 9.06809i −0.0928580 0.385964i
\(553\) −15.1021 4.33789i −0.642205 0.184466i
\(554\) −1.80074 + 10.2125i −0.0765063 + 0.433889i
\(555\) −2.18206 + 2.07270i −0.0926235 + 0.0879811i
\(556\) 8.88551 + 3.23406i 0.376829 + 0.137155i
\(557\) 31.1171 1.31847 0.659237 0.751935i \(-0.270879\pi\)
0.659237 + 0.751935i \(0.270879\pi\)
\(558\) −6.50781 21.2131i −0.275497 0.898021i
\(559\) −31.0912 53.8516i −1.31502 2.27768i
\(560\) −0.287268 0.426311i −0.0121393 0.0180149i
\(561\) 17.5021 35.1461i 0.738938 1.48387i
\(562\) −0.874117 + 0.318153i −0.0368724 + 0.0134205i
\(563\) 33.4016 + 28.0273i 1.40771 + 1.18121i 0.957552 + 0.288259i \(0.0930764\pi\)
0.450157 + 0.892949i \(0.351368\pi\)
\(564\) 0.804836 7.09430i 0.0338897 0.298724i
\(565\) −3.17769 1.15659i −0.133687 0.0486579i
\(566\) −7.01181 −0.294728
\(567\) −22.0910 8.88761i −0.927733 0.373244i
\(568\) −8.39284 −0.352156
\(569\) −31.1630 11.3424i −1.30642 0.475499i −0.407339 0.913277i \(-0.633543\pi\)
−0.899083 + 0.437779i \(0.855765\pi\)
\(570\) −0.198242 + 1.74742i −0.00830343 + 0.0731913i
\(571\) 9.97506 + 8.37007i 0.417443 + 0.350277i 0.827190 0.561923i \(-0.189938\pi\)
−0.409746 + 0.912200i \(0.634383\pi\)
\(572\) −22.4180 + 8.15948i −0.937343 + 0.341165i
\(573\) 2.62515 5.27158i 0.109667 0.220224i
\(574\) 5.12593 10.4976i 0.213952 0.438160i
\(575\) 13.3605 + 23.1410i 0.557171 + 0.965048i
\(576\) 2.04388 2.19603i 0.0851618 0.0915012i
\(577\) 6.28127 0.261493 0.130746 0.991416i \(-0.458263\pi\)
0.130746 + 0.991416i \(0.458263\pi\)
\(578\) −6.65047 2.42057i −0.276623 0.100683i
\(579\) −3.31455 + 3.14842i −0.137748 + 0.130844i
\(580\) −0.136455 + 0.773876i −0.00566600 + 0.0321335i
\(581\) −4.58180 18.4123i −0.190085 0.763871i
\(582\) 3.59423 + 14.9394i 0.148986 + 0.619258i
\(583\) 5.78116 + 32.7866i 0.239431 + 1.35788i
\(584\) 4.16401 0.172308
\(585\) 0.154646 3.00615i 0.00639382 0.124289i
\(586\) 22.4853 0.928858
\(587\) 27.0214 + 9.83500i 1.11529 + 0.405934i 0.832933 0.553374i \(-0.186660\pi\)
0.282361 + 0.959308i \(0.408882\pi\)
\(588\) −7.55167 + 9.48537i −0.311426 + 0.391170i
\(589\) 29.6081 + 24.8442i 1.21998 + 1.02369i
\(590\) 0.146356 0.830027i 0.00602538 0.0341717i
\(591\) 5.18308 2.25663i 0.213203 0.0928255i
\(592\) −6.85057 + 5.74831i −0.281557 + 0.236254i
\(593\) 4.87366 8.44142i 0.200137 0.346648i −0.748435 0.663208i \(-0.769195\pi\)
0.948572 + 0.316560i \(0.102528\pi\)
\(594\) −20.6657 + 12.2132i −0.847923 + 0.501114i
\(595\) 2.30484 1.02492i 0.0944893 0.0420178i
\(596\) 1.37735 + 7.81135i 0.0564185 + 0.319965i
\(597\) −2.08919 + 18.4154i −0.0855050 + 0.753691i
\(598\) −21.3021 17.8745i −0.871106 0.730944i
\(599\) −5.14886 + 29.2006i −0.210377 + 1.19311i 0.678375 + 0.734716i \(0.262685\pi\)
−0.888751 + 0.458390i \(0.848426\pi\)
\(600\) −3.83131 + 7.69368i −0.156413 + 0.314093i
\(601\) 11.8191 + 4.30182i 0.482113 + 0.175475i 0.571632 0.820510i \(-0.306311\pi\)
−0.0895186 + 0.995985i \(0.528533\pi\)
\(602\) −29.1100 + 12.9447i −1.18643 + 0.527587i
\(603\) −38.6536 + 4.78381i −1.57409 + 0.194812i
\(604\) 3.06344 + 5.30603i 0.124649 + 0.215899i
\(605\) 1.88825 + 0.687265i 0.0767681 + 0.0279413i
\(606\) 28.5509 + 8.44221i 1.15980 + 0.342941i
\(607\) 15.4894 + 12.9972i 0.628696 + 0.527539i 0.900524 0.434807i \(-0.143184\pi\)
−0.271827 + 0.962346i \(0.587628\pi\)
\(608\) −0.907430 + 5.14629i −0.0368011 + 0.208710i
\(609\) 18.3750 2.41959i 0.744591 0.0980466i
\(610\) −1.14260 + 0.958757i −0.0462626 + 0.0388190i
\(611\) −10.6436 18.4353i −0.430595 0.745812i
\(612\) 8.87037 + 11.7479i 0.358564 + 0.474879i
\(613\) −12.1644 + 21.0693i −0.491315 + 0.850982i −0.999950 0.0100001i \(-0.996817\pi\)
0.508635 + 0.860982i \(0.330150\pi\)
\(614\) 4.59153 3.85276i 0.185299 0.155485i
\(615\) 1.48314 0.0914291i 0.0598062 0.00368678i
\(616\) 2.95153 + 11.8609i 0.118921 + 0.477891i
\(617\) 31.1297 11.3303i 1.25324 0.456141i 0.371742 0.928336i \(-0.378761\pi\)
0.881494 + 0.472195i \(0.156538\pi\)
\(618\) 0.148788 1.31150i 0.00598512 0.0527563i
\(619\) −11.7647 + 9.87177i −0.472864 + 0.396780i −0.847838 0.530255i \(-0.822096\pi\)
0.374974 + 0.927035i \(0.377652\pi\)
\(620\) −0.718545 1.24456i −0.0288575 0.0499826i
\(621\) −24.3729 13.7431i −0.978049 0.551492i
\(622\) −22.0767 −0.885196
\(623\) −21.2316 + 1.47494i −0.850625 + 0.0590922i
\(624\) 1.00827 8.88745i 0.0403630 0.355783i
\(625\) 4.24312 24.0639i 0.169725 0.962557i
\(626\) −0.387063 + 2.19514i −0.0154701 + 0.0877355i
\(627\) 18.6393 37.4297i 0.744380 1.49480i
\(628\) −2.23778 + 1.87772i −0.0892970 + 0.0749291i
\(629\) −21.9405 38.0021i −0.874825 1.51524i
\(630\) −1.52333 0.240481i −0.0606911 0.00958101i
\(631\) −7.34071 + 12.7145i −0.292229 + 0.506155i −0.974336 0.225096i \(-0.927730\pi\)
0.682108 + 0.731252i \(0.261064\pi\)
\(632\) −1.03127 5.84863i −0.0410217 0.232646i
\(633\) 26.0396 24.7345i 1.03498 0.983107i
\(634\) −9.30464 + 3.38661i −0.369535 + 0.134500i
\(635\) 1.35406 + 1.13619i 0.0537344 + 0.0450885i
\(636\) −11.9698 3.53936i −0.474634 0.140345i
\(637\) −1.29448 + 36.1254i −0.0512890 + 1.43134i
\(638\) 9.34193 16.1807i 0.369851 0.640600i
\(639\) −17.1540 + 18.4309i −0.678601 + 0.729116i
\(640\) 0.0971494 0.168268i 0.00384017 0.00665137i
\(641\) 0.582641 + 3.30432i 0.0230129 + 0.130513i 0.994150 0.108010i \(-0.0344479\pi\)
−0.971137 + 0.238523i \(0.923337\pi\)
\(642\) −12.6645 19.1140i −0.499827 0.754368i
\(643\) −15.5818 13.0746i −0.614484 0.515614i 0.281580 0.959538i \(-0.409142\pi\)
−0.896064 + 0.443924i \(0.853586\pi\)
\(644\) −10.2529 + 9.89212i −0.404022 + 0.389804i
\(645\) −3.25866 2.40885i −0.128310 0.0948486i
\(646\) −24.0953 8.76997i −0.948017 0.345050i
\(647\) 8.36839 + 14.4945i 0.328995 + 0.569836i 0.982313 0.187248i \(-0.0599567\pi\)
−0.653318 + 0.757084i \(0.726623\pi\)
\(648\) −0.645082 8.97685i −0.0253412 0.352644i
\(649\) −10.0198 + 17.3547i −0.393310 + 0.681233i
\(650\) 4.44982 + 25.2362i 0.174536 + 0.989844i
\(651\) −22.8979 + 24.9899i −0.897438 + 0.979432i
\(652\) −11.2048 + 4.07820i −0.438812 + 0.159715i
\(653\) −5.44508 + 1.98185i −0.213082 + 0.0775556i −0.446356 0.894856i \(-0.647278\pi\)
0.233274 + 0.972411i \(0.425056\pi\)
\(654\) 9.60613 0.592174i 0.375629 0.0231558i
\(655\) 0.112362 + 0.637235i 0.00439034 + 0.0248988i
\(656\) 4.41546 0.172395
\(657\) 8.51076 9.14429i 0.332036 0.356753i
\(658\) −9.96536 + 4.43143i −0.388490 + 0.172755i
\(659\) −17.9962 + 15.1006i −0.701032 + 0.588236i −0.922067 0.387030i \(-0.873501\pi\)
0.221035 + 0.975266i \(0.429057\pi\)
\(660\) −1.12723 + 1.07073i −0.0438773 + 0.0416781i
\(661\) −20.2055 + 7.35420i −0.785903 + 0.286045i −0.703632 0.710565i \(-0.748440\pi\)
−0.0822711 + 0.996610i \(0.526217\pi\)
\(662\) 25.8331 9.40249i 1.00403 0.365438i
\(663\) 42.0878 + 12.4450i 1.63456 + 0.483323i
\(664\) 5.49364 4.60971i 0.213194 0.178891i
\(665\) 2.45460 1.09152i 0.0951852 0.0423273i
\(666\) −1.37831 + 26.7929i −0.0534085 + 1.03820i
\(667\) 21.7783 0.843259
\(668\) −0.728812 4.13330i −0.0281986 0.159922i
\(669\) −4.99014 + 10.0207i −0.192930 + 0.387424i
\(670\) −2.37042 + 0.862762i −0.0915773 + 0.0333314i
\(671\) 33.3253 12.1294i 1.28651 0.468251i
\(672\) −4.47398 0.991737i −0.172587 0.0382571i
\(673\) −1.38186 7.83694i −0.0532669 0.302092i 0.946522 0.322639i \(-0.104570\pi\)
−0.999789 + 0.0205476i \(0.993459\pi\)
\(674\) 11.7100 20.2822i 0.451050 0.781242i
\(675\) 9.06480 + 24.1387i 0.348904 + 0.929097i
\(676\) −6.83390 11.8367i −0.262842 0.455256i
\(677\) 19.7541 + 7.18992i 0.759214 + 0.276331i 0.692477 0.721440i \(-0.256519\pi\)
0.0667361 + 0.997771i \(0.478741\pi\)
\(678\) −27.6391 + 12.0336i −1.06147 + 0.462148i
\(679\) 16.8914 16.2970i 0.648232 0.625420i
\(680\) 0.730345 + 0.612832i 0.0280074 + 0.0235010i
\(681\) 4.76649 9.57163i 0.182652 0.366785i
\(682\) 5.93337 + 33.6498i 0.227200 + 1.28852i
\(683\) 3.30954 5.73229i 0.126636 0.219340i −0.795735 0.605645i \(-0.792915\pi\)
0.922371 + 0.386305i \(0.126249\pi\)
\(684\) 9.44672 + 12.5112i 0.361204 + 0.478376i
\(685\) 0.898910 1.55696i 0.0343456 0.0594883i
\(686\) 18.3365 + 2.60258i 0.700090 + 0.0993669i
\(687\) −20.5610 + 19.5305i −0.784452 + 0.745135i
\(688\) −9.22420 7.74002i −0.351669 0.295085i
\(689\) −34.9709 + 12.7284i −1.33229 + 0.484913i
\(690\) −1.73782 0.513855i −0.0661575 0.0195621i
\(691\) 4.26210 + 24.1716i 0.162138 + 0.919530i 0.951966 + 0.306202i \(0.0990584\pi\)
−0.789828 + 0.613328i \(0.789830\pi\)
\(692\) −2.25809 + 3.91113i −0.0858399 + 0.148679i
\(693\) 32.0796 + 17.7608i 1.21860 + 0.674675i
\(694\) 3.56152 + 6.16873i 0.135193 + 0.234162i
\(695\) 1.40741 1.18096i 0.0533861 0.0447963i
\(696\) 3.86915 + 5.83954i 0.146660 + 0.221347i
\(697\) −3.76227 + 21.3369i −0.142506 + 0.808193i
\(698\) 3.49456 19.8186i 0.132271 0.750146i
\(699\) −7.33162 + 3.19207i −0.277307 + 0.120735i
\(700\) 13.0973 0.909859i 0.495032 0.0343894i
\(701\) 13.8025 0.521315 0.260657 0.965431i \(-0.416061\pi\)
0.260657 + 0.965431i \(0.416061\pi\)
\(702\) −17.4563 20.3791i −0.658846 0.769159i
\(703\) −23.3661 40.4712i −0.881268 1.52640i
\(704\) −3.53892 + 2.96951i −0.133378 + 0.111918i
\(705\) −1.11555 0.824635i −0.0420141 0.0310575i
\(706\) 32.6050 11.8673i 1.22711 0.446630i
\(707\) −10.9822 44.1329i −0.413029 1.65979i
\(708\) −4.14988 6.26324i −0.155962 0.235387i
\(709\) −19.5001 + 16.3626i −0.732343 + 0.614509i −0.930769 0.365607i \(-0.880861\pi\)
0.198426 + 0.980116i \(0.436417\pi\)
\(710\) −0.815360 + 1.41224i −0.0305999 + 0.0530006i
\(711\) −14.9515 9.68921i −0.560727 0.363374i
\(712\) −4.02206 6.96641i −0.150733 0.261077i
\(713\) −30.5100 + 25.6009i −1.14261 + 0.958761i
\(714\) 8.60451 20.7746i 0.322016 0.777471i
\(715\) −0.804917 + 4.56491i −0.0301022 + 0.170718i
\(716\) −15.0353 12.6162i −0.561897 0.471488i
\(717\) −1.63720 6.80499i −0.0611422 0.254137i
\(718\) −14.1860 5.16329i −0.529418 0.192692i
\(719\) 9.47306 + 16.4078i 0.353285 + 0.611908i 0.986823 0.161804i \(-0.0517311\pi\)
−0.633538 + 0.773712i \(0.718398\pi\)
\(720\) −0.170959 0.557263i −0.00637125 0.0207680i
\(721\) −1.84226 + 0.819224i −0.0686095 + 0.0305095i
\(722\) −7.80671 2.84141i −0.290536 0.105746i
\(723\) −22.6781 34.2270i −0.843406 1.27292i
\(724\) 1.40214 7.95194i 0.0521102 0.295532i
\(725\) −15.3738 12.9002i −0.570970 0.479101i
\(726\) 16.4237 7.15061i 0.609539 0.265384i
\(727\) 2.22934 + 12.6432i 0.0826816 + 0.468911i 0.997833 + 0.0658000i \(0.0209599\pi\)
−0.915151 + 0.403111i \(0.867929\pi\)
\(728\) −12.4842 + 5.55151i −0.462695 + 0.205753i
\(729\) −21.0319 16.9310i −0.778959 0.627075i
\(730\) 0.404532 0.700669i 0.0149724 0.0259329i
\(731\) 45.2618 37.9792i 1.67407 1.40471i
\(732\) −1.49883 + 13.2116i −0.0553984 + 0.488314i
\(733\) 3.97522 22.5446i 0.146828 0.832704i −0.819053 0.573718i \(-0.805500\pi\)
0.965881 0.258986i \(-0.0833884\pi\)
\(734\) 14.4346 + 12.1120i 0.532790 + 0.447064i
\(735\) 0.862442 + 2.19220i 0.0318117 + 0.0808605i
\(736\) −5.06011 1.84173i −0.186518 0.0678870i
\(737\) 59.9772 2.20929
\(738\) 9.02469 9.69648i 0.332203 0.356932i
\(739\) −22.0597 −0.811478 −0.405739 0.913989i \(-0.632986\pi\)
−0.405739 + 0.913989i \(0.632986\pi\)
\(740\) 0.301726 + 1.71117i 0.0110917 + 0.0629040i
\(741\) 44.8225 + 13.2536i 1.64659 + 0.486882i
\(742\) 4.60424 + 18.5025i 0.169027 + 0.679248i
\(743\) −4.08079 + 23.1433i −0.149709 + 0.849045i 0.813755 + 0.581208i \(0.197420\pi\)
−0.963464 + 0.267836i \(0.913691\pi\)
\(744\) −12.2849 3.63254i −0.450388 0.133175i
\(745\) 1.44821 + 0.527104i 0.0530582 + 0.0193116i
\(746\) 15.2835 0.559570
\(747\) 1.10530 21.4859i 0.0404409 0.786127i
\(748\) −11.3342 19.6314i −0.414419 0.717795i
\(749\) −15.3680 + 31.4727i −0.561535 + 1.14999i
\(750\) 1.85180 + 2.79484i 0.0676180 + 0.102053i
\(751\) −8.79404 + 3.20077i −0.320899 + 0.116798i −0.497447 0.867494i \(-0.665729\pi\)
0.176548 + 0.984292i \(0.443507\pi\)
\(752\) −3.15776 2.64968i −0.115152 0.0966238i
\(753\) 38.1718 16.6194i 1.39106 0.605645i
\(754\) 19.6259 + 7.14323i 0.714732 + 0.260141i
\(755\) 1.19044 0.0433247
\(756\) −11.3222 + 7.79798i −0.411783 + 0.283610i
\(757\) −1.31192 −0.0476824 −0.0238412 0.999716i \(-0.507590\pi\)
−0.0238412 + 0.999716i \(0.507590\pi\)
\(758\) 2.99987 + 1.09186i 0.108960 + 0.0396582i
\(759\) 34.6485 + 25.6128i 1.25766 + 0.929685i
\(760\) 0.777798 + 0.652650i 0.0282137 + 0.0236741i
\(761\) −3.09465 + 1.12636i −0.112181 + 0.0408306i −0.397501 0.917602i \(-0.630122\pi\)
0.285320 + 0.958432i \(0.407900\pi\)
\(762\) 15.7272 0.969511i 0.569737 0.0351217i
\(763\) −8.21540 12.1918i −0.297417 0.441373i
\(764\) −1.70002 2.94453i −0.0615047 0.106529i
\(765\) 2.83854 0.351301i 0.102628 0.0127013i
\(766\) −34.4996 −1.24652
\(767\) −21.0499 7.66153i −0.760067 0.276642i
\(768\) −0.405149 1.68400i −0.0146196 0.0607661i
\(769\) −6.14587 + 34.8549i −0.221626 + 1.25690i 0.647406 + 0.762145i \(0.275854\pi\)
−0.869032 + 0.494756i \(0.835257\pi\)
\(770\) 2.28255 + 0.655637i 0.0822576 + 0.0236275i
\(771\) −6.57464 + 6.24512i −0.236780 + 0.224912i
\(772\) 0.458322 + 2.59927i 0.0164954 + 0.0935498i
\(773\) −33.6435 −1.21007 −0.605037 0.796198i \(-0.706842\pi\)
−0.605037 + 0.796198i \(0.706842\pi\)
\(774\) −35.8505 + 4.43690i −1.28862 + 0.159481i
\(775\) 36.7022 1.31838
\(776\) 8.33637 + 3.03419i 0.299258 + 0.108921i
\(777\) 36.3501 18.9238i 1.30405 0.678889i
\(778\) −18.2379 15.3034i −0.653861 0.548654i
\(779\) −4.00672 + 22.7233i −0.143556 + 0.814145i
\(780\) −1.39752 1.03307i −0.0500392 0.0369898i
\(781\) 29.7016 24.9226i 1.06281 0.891801i
\(782\) 13.2114 22.8828i 0.472437 0.818286i
\(783\) 20.7319 + 3.43858i 0.740897 + 0.122885i
\(784\) 2.15705 + 6.65936i 0.0770376 + 0.237834i
\(785\) 0.0985605 + 0.558965i 0.00351778 + 0.0199503i
\(786\) 4.63844 + 3.42881i 0.165448 + 0.122302i
\(787\) −2.94947 2.47490i −0.105137 0.0882205i 0.588704 0.808349i \(-0.299638\pi\)
−0.693841 + 0.720128i \(0.744083\pi\)
\(788\) 0.566749 3.21419i 0.0201896 0.114501i
\(789\) −9.73212 + 0.599941i −0.346473 + 0.0213585i
\(790\) −1.08432 0.394661i −0.0385785 0.0140414i
\(791\) 37.2408 + 27.0829i 1.32413 + 0.962958i
\(792\) −0.712019 + 13.8409i −0.0253005 + 0.491815i
\(793\) 19.8214 + 34.3317i 0.703879 + 1.21915i
\(794\) −9.91564 3.60900i −0.351893 0.128079i
\(795\) −1.75842 + 1.67029i −0.0623648 + 0.0592390i
\(796\) 8.19692 + 6.87803i 0.290532 + 0.243785i
\(797\) 7.34652 41.6642i 0.260227 1.47582i −0.522063 0.852907i \(-0.674837\pi\)
0.782290 0.622914i \(-0.214051\pi\)
\(798\) 9.16358 22.1244i 0.324387 0.783197i
\(799\) 15.4947 13.0016i 0.548163 0.459964i
\(800\) 2.48112 + 4.29743i 0.0877210 + 0.151937i
\(801\) −23.5191 5.40597i −0.831005 0.191011i
\(802\) −9.37162 + 16.2321i −0.330924 + 0.573176i
\(803\) −14.7361 + 12.3651i −0.520026 + 0.436354i
\(804\) −10.0239 + 20.1291i −0.353517 + 0.709900i
\(805\) 0.668458 + 2.68625i 0.0235601 + 0.0946779i
\(806\) −35.8916 + 13.0635i −1.26423 + 0.460142i
\(807\) −2.05172 + 0.893288i −0.0722241 + 0.0314452i
\(808\) 13.1678 11.0491i 0.463242 0.388706i
\(809\) −13.7724 23.8546i −0.484213 0.838682i 0.515622 0.856816i \(-0.327561\pi\)
−0.999836 + 0.0181338i \(0.994228\pi\)
\(810\) −1.57318 0.763550i −0.0552761 0.0268284i
\(811\) −8.45474 −0.296886 −0.148443 0.988921i \(-0.547426\pi\)
−0.148443 + 0.988921i \(0.547426\pi\)
\(812\) 4.69511 9.61529i 0.164766 0.337431i
\(813\) 9.88841 + 7.30968i 0.346802 + 0.256362i
\(814\) 7.17398 40.6856i 0.251448 1.42603i
\(815\) −0.402307 + 2.28159i −0.0140922 + 0.0799208i
\(816\) 8.48283 0.522928i 0.296958 0.0183061i
\(817\) 48.2027 40.4469i 1.68640 1.41506i
\(818\) 3.27546 + 5.67326i 0.114524 + 0.198361i
\(819\) −13.3250 + 38.7623i −0.465612 + 1.35446i
\(820\) 0.428960 0.742980i 0.0149799 0.0259460i
\(821\) −1.03346 5.86106i −0.0360681 0.204553i 0.961448 0.274985i \(-0.0886730\pi\)
−0.997517 + 0.0704329i \(0.977562\pi\)
\(822\) −3.74879 15.5818i −0.130754 0.543478i
\(823\) 47.0283 17.1169i 1.63930 0.596657i 0.652385 0.757887i \(-0.273768\pi\)
0.986917 + 0.161230i \(0.0515461\pi\)
\(824\) −0.583766 0.489838i −0.0203365 0.0170643i
\(825\) −9.28775 38.6045i −0.323358 1.34403i
\(826\) −5.03578 + 10.3129i −0.175217 + 0.358833i
\(827\) −4.86382 + 8.42438i −0.169132 + 0.292945i −0.938115 0.346324i \(-0.887430\pi\)
0.768983 + 0.639269i \(0.220763\pi\)
\(828\) −14.3868 + 7.34786i −0.499974 + 0.255356i
\(829\) 15.0071 25.9931i 0.521220 0.902779i −0.478476 0.878101i \(-0.658811\pi\)
0.999695 0.0246781i \(-0.00785608\pi\)
\(830\) −0.241962 1.37223i −0.00839861 0.0476309i
\(831\) 17.9275 1.10515i 0.621897 0.0383371i
\(832\) −3.95592 3.31941i −0.137147 0.115080i
\(833\) −34.0181 + 4.74934i −1.17866 + 0.164555i
\(834\) 1.84620 16.2735i 0.0639286 0.563504i
\(835\) −0.766305 0.278912i −0.0265191 0.00965215i
\(836\) −12.0706 20.9069i −0.417471 0.723082i
\(837\) −33.0862 + 19.5536i −1.14363 + 0.675871i
\(838\) −4.51762 + 7.82475i −0.156059 + 0.270301i
\(839\) −3.72963 21.1518i −0.128761 0.730241i −0.979003 0.203848i \(-0.934655\pi\)
0.850241 0.526393i \(-0.176456\pi\)
\(840\) −0.601522 + 0.656479i −0.0207545 + 0.0226507i
\(841\) 11.8807 4.32422i 0.409679 0.149111i
\(842\) −7.04485 + 2.56412i −0.242782 + 0.0883653i
\(843\) 0.889917 + 1.34311i 0.0306504 + 0.0462593i
\(844\) −3.60064 20.4203i −0.123939 0.702894i
\(845\) −2.65564 −0.0913567
\(846\) −12.2729 + 1.51891i −0.421950 + 0.0522210i
\(847\) −22.1292 16.0932i −0.760368 0.552969i
\(848\) −5.52055 + 4.63229i −0.189576 + 0.159073i
\(849\) 2.84083 + 11.8079i 0.0974970 + 0.405246i
\(850\) −22.8806 + 8.32787i −0.784799 + 0.285644i
\(851\) 45.2514 16.4702i 1.55120 0.564590i
\(852\) 3.40035 + 14.1335i 0.116494 + 0.484207i
\(853\) −0.865501 + 0.726242i −0.0296342 + 0.0248661i −0.657484 0.753468i \(-0.728379\pi\)
0.627850 + 0.778334i \(0.283935\pi\)
\(854\) 18.5583 8.25256i 0.635052 0.282397i
\(855\) 3.02297 0.374126i 0.103383 0.0127948i
\(856\) −13.2380 −0.452465
\(857\) −2.60655 14.7825i −0.0890380 0.504960i −0.996412 0.0846354i \(-0.973027\pi\)
0.907374 0.420324i \(-0.138084\pi\)
\(858\) 22.8232 + 34.4461i 0.779171 + 1.17597i
\(859\) 19.8781 7.23503i 0.678232 0.246856i 0.0201435 0.999797i \(-0.493588\pi\)
0.658088 + 0.752941i \(0.271365\pi\)
\(860\) −2.19852 + 0.800196i −0.0749690 + 0.0272865i
\(861\) −19.7547 4.37898i −0.673237 0.149235i
\(862\) −3.27617 18.5801i −0.111587 0.632840i
\(863\) −8.50565 + 14.7322i −0.289536 + 0.501490i −0.973699 0.227838i \(-0.926834\pi\)
0.684163 + 0.729329i \(0.260168\pi\)
\(864\) −4.52619 2.55218i −0.153984 0.0868269i
\(865\) 0.438745 + 0.759929i 0.0149178 + 0.0258384i
\(866\) −28.5280 10.3834i −0.969422 0.352841i
\(867\) −1.38181 + 12.1801i −0.0469287 + 0.413657i
\(868\) 4.72546 + 18.9896i 0.160393 + 0.644550i
\(869\) 21.0171 + 17.6355i 0.712957 + 0.598242i
\(870\) 1.35849 0.0837448i 0.0460572 0.00283922i
\(871\) 11.6421 + 66.0259i 0.394479 + 2.23720i
\(872\) 2.77831 4.81218i 0.0940856 0.162961i
\(873\) 23.7017 12.1054i 0.802182 0.409705i
\(874\) 14.0698 24.3695i 0.475917 0.824312i
\(875\) 2.24711 4.60193i 0.0759661 0.155574i
\(876\) −1.68705 7.01220i −0.0570000 0.236920i
\(877\) −32.9294 27.6311i −1.11195 0.933035i −0.113778 0.993506i \(-0.536295\pi\)
−0.998170 + 0.0604712i \(0.980740\pi\)
\(878\) 7.03582 2.56083i 0.237447 0.0864238i
\(879\) −9.10990 37.8652i −0.307269 1.27716i
\(880\) 0.155868 + 0.883973i 0.00525432 + 0.0297987i
\(881\) 7.51336 13.0135i 0.253131 0.438437i −0.711255 0.702934i \(-0.751873\pi\)
0.964386 + 0.264498i \(0.0852061\pi\)
\(882\) 19.0329 + 8.87401i 0.640872 + 0.298803i
\(883\) −5.57211 9.65118i −0.187516 0.324788i 0.756905 0.653525i \(-0.226710\pi\)
−0.944422 + 0.328737i \(0.893377\pi\)
\(884\) 19.4111 16.2879i 0.652868 0.547821i
\(885\) −1.45706 + 0.0898211i −0.0489785 + 0.00301930i
\(886\) −6.71785 + 38.0988i −0.225691 + 1.27995i
\(887\) 9.58486 54.3585i 0.321828 1.82518i −0.209257 0.977861i \(-0.567105\pi\)
0.531086 0.847318i \(-0.321784\pi\)
\(888\) 12.4557 + 9.20743i 0.417984 + 0.308981i
\(889\) −13.4503 19.9605i −0.451109 0.669454i
\(890\) −1.56296 −0.0523906
\(891\) 28.9397 + 29.8528i 0.969517 + 1.00011i
\(892\) 3.23157 + 5.59725i 0.108201 + 0.187410i
\(893\) 16.5015 13.8464i 0.552200 0.463351i
\(894\) 12.5963 5.48422i 0.421282 0.183420i
\(895\) −3.58357 + 1.30431i −0.119785 + 0.0435983i
\(896\) −1.90403 + 1.83703i −0.0636092 + 0.0613707i
\(897\) −21.4702 + 43.1145i −0.716869 + 1.43955i
\(898\) −1.58273 + 1.32807i −0.0528165 + 0.0443183i
\(899\) 14.9566 25.9056i 0.498831 0.864001i
\(900\) 14.5084 + 3.33483i 0.483614 + 0.111161i
\(901\) −17.6808 30.6240i −0.589033 1.02023i
\(902\) −15.6260 + 13.1118i −0.520288 + 0.436574i
\(903\) 33.5928 + 43.7766i 1.11790 + 1.45680i
\(904\) −3.02222 + 17.1399i −0.100518 + 0.570063i
\(905\) −1.20184 1.00846i −0.0399505 0.0335224i
\(906\) 7.69420 7.30856i 0.255623 0.242811i
\(907\) 45.4099 + 16.5279i 1.50781 + 0.548799i 0.958070 0.286535i \(-0.0925035\pi\)
0.549743 + 0.835334i \(0.314726\pi\)
\(908\) −3.08674 5.34639i −0.102437 0.177426i
\(909\) 2.64932 51.5000i 0.0878724 1.70815i
\(910\) −0.278692 + 2.64001i −0.00923857 + 0.0875156i
\(911\) −5.58480 2.03270i −0.185033 0.0673464i 0.247842 0.968800i \(-0.420279\pi\)
−0.432875 + 0.901454i \(0.642501\pi\)
\(912\) 9.03399 0.556905i 0.299145 0.0184410i
\(913\) −5.75298 + 32.6268i −0.190396 + 1.07979i
\(914\) 8.66541 + 7.27115i 0.286626 + 0.240508i
\(915\) 2.07747 + 1.53570i 0.0686791 + 0.0507687i
\(916\) 2.84309 + 16.1240i 0.0939383 + 0.532751i
\(917\) 0.924995 8.76235i 0.0305460 0.289358i
\(918\) 16.1895 19.6973i 0.534335 0.650109i
\(919\) 18.3954 31.8617i 0.606807 1.05102i −0.384956 0.922935i \(-0.625784\pi\)
0.991763 0.128085i \(-0.0408831\pi\)
\(920\) −0.801490 + 0.672530i −0.0264243 + 0.0221727i
\(921\) −8.34829 6.17120i −0.275086 0.203348i
\(922\) −0.284378 + 1.61279i −0.00936550 + 0.0531144i
\(923\) 33.2014 + 27.8593i 1.09284 + 0.917000i
\(924\) 18.7780 9.77583i 0.617752 0.321601i
\(925\) −41.7001 15.1776i −1.37109 0.499036i
\(926\) 15.4144 0.506550
\(927\) −2.26885 + 0.280795i −0.0745187 + 0.00922253i
\(928\) 4.04436 0.132763
\(929\) −2.95493 16.7583i −0.0969482 0.549821i −0.994133 0.108165i \(-0.965502\pi\)
0.897185 0.441655i \(-0.145609\pi\)
\(930\) −1.80472 + 1.71426i −0.0591789 + 0.0562128i
\(931\) −36.2284 + 5.05792i −1.18734 + 0.165767i
\(932\) −0.801683 + 4.54657i −0.0262600 + 0.148928i
\(933\) 8.94437 + 37.1772i 0.292826 + 1.21713i
\(934\) 6.44595 + 2.34613i 0.210918 + 0.0767678i
\(935\) −4.40444 −0.144041
\(936\) −15.3750 + 1.90282i −0.502546 + 0.0621957i
\(937\) 9.43039 + 16.3339i 0.308077 + 0.533606i 0.977942 0.208878i \(-0.0669811\pi\)
−0.669864 + 0.742484i \(0.733648\pi\)
\(938\) 34.2667 2.38048i 1.11885 0.0777254i
\(939\) 3.85344 0.237547i 0.125752 0.00775205i
\(940\) −0.752630 + 0.273935i −0.0245481 + 0.00893478i
\(941\) 25.5658 + 21.4523i 0.833423 + 0.699325i 0.956074 0.293125i \(-0.0946952\pi\)
−0.122651 + 0.992450i \(0.539140\pi\)
\(942\) 4.06871 + 3.00766i 0.132566 + 0.0979948i
\(943\) −22.3427 8.13208i −0.727579 0.264817i
\(944\) −4.33781 −0.141184
\(945\) 0.212207 + 2.66273i 0.00690310 + 0.0866185i
\(946\) 55.6278 1.80861
\(947\) −31.7202 11.5452i −1.03077 0.375169i −0.229394 0.973334i \(-0.573675\pi\)
−0.801373 + 0.598165i \(0.795897\pi\)
\(948\) −9.43126 + 4.10623i −0.306313 + 0.133364i
\(949\) −16.4725 13.8221i −0.534720 0.448683i
\(950\) −24.3673 + 8.86897i −0.790579 + 0.287747i
\(951\) 9.47283 + 14.2969i 0.307177 + 0.463610i
\(952\) −7.25473 10.7661i −0.235127 0.348933i
\(953\) −28.8315 49.9375i −0.933942 1.61764i −0.776509 0.630106i \(-0.783011\pi\)
−0.157433 0.987530i \(-0.550322\pi\)
\(954\) −1.11072 + 21.5911i −0.0359607 + 0.699039i
\(955\) −0.660626 −0.0213773
\(956\) −3.79727 1.38209i −0.122813 0.0447001i
\(957\) −31.0332 9.17621i −1.00316 0.296625i
\(958\) −4.41900 + 25.0614i −0.142772 + 0.809697i
\(959\) −17.6177 + 16.9978i −0.568906 + 0.548886i
\(960\) −0.322723 0.0954260i −0.0104158 0.00307986i
\(961\) 4.11635 + 23.3450i 0.132785 + 0.753063i
\(962\) 46.1813 1.48894
\(963\) −27.0569 + 29.0710i −0.871896 + 0.936799i
\(964\) −23.7050 −0.763487
\(965\) 0.481899 + 0.175397i 0.0155129 + 0.00564623i
\(966\) 20.8123 + 13.2581i 0.669624 + 0.426574i
\(967\) −6.27261 5.26334i −0.201713 0.169258i 0.536335 0.844005i \(-0.319808\pi\)
−0.738049 + 0.674747i \(0.764253\pi\)
\(968\) 1.79586 10.1848i 0.0577212 0.327353i
\(969\) −5.00643 + 44.1296i −0.160830 + 1.41765i
\(970\) 1.32043 1.10797i 0.0423964 0.0355748i
\(971\) −16.4404 + 28.4755i −0.527596 + 0.913824i 0.471886 + 0.881660i \(0.343573\pi\)
−0.999483 + 0.0321644i \(0.989760\pi\)
\(972\) −14.8557 + 4.72328i −0.476495 + 0.151499i
\(973\) −22.8593 + 10.1652i −0.732837 + 0.325880i
\(974\) 1.29900 + 7.36699i 0.0416226 + 0.236054i
\(975\) 40.6949 17.7179i 1.30328 0.567427i
\(976\) 5.88064 + 4.93445i 0.188235 + 0.157948i
\(977\) −5.60975 + 31.8145i −0.179472 + 1.01784i 0.753383 + 0.657582i \(0.228421\pi\)
−0.932855 + 0.360253i \(0.882690\pi\)
\(978\) 11.4073 + 17.2165i 0.364765 + 0.550524i
\(979\) 34.9206 + 12.7100i 1.11607 + 0.406215i
\(980\) 1.33011 + 0.283991i 0.0424889 + 0.00907175i
\(981\) −4.88914 15.9368i −0.156098 0.508823i
\(982\) −1.82500 3.16100i −0.0582381 0.100871i
\(983\) −20.7046 7.53584i −0.660373 0.240356i −0.00997561 0.999950i \(-0.503175\pi\)
−0.650397 + 0.759594i \(0.725398\pi\)
\(984\) −1.78892 7.43564i −0.0570287 0.237039i
\(985\) −0.485786 0.407623i −0.0154784 0.0129879i
\(986\) −3.44607 + 19.5436i −0.109745 + 0.622395i
\(987\) 11.5000 + 14.9863i 0.366048 + 0.477018i
\(988\) 20.6724 17.3462i 0.657676 0.551855i
\(989\) 32.4204 + 56.1538i 1.03091 + 1.78559i
\(990\) 2.25981 + 1.46445i 0.0718213 + 0.0465431i
\(991\) −28.0981 + 48.6674i −0.892566 + 1.54597i −0.0557783 + 0.998443i \(0.517764\pi\)
−0.836788 + 0.547527i \(0.815569\pi\)
\(992\) −5.66589 + 4.75424i −0.179892 + 0.150947i
\(993\) −26.3001 39.6936i −0.834607 1.25964i
\(994\) 15.9802 15.4179i 0.506862 0.489025i
\(995\) 1.95368 0.711080i 0.0619357 0.0225428i
\(996\) −9.98849 7.38366i −0.316497 0.233960i
\(997\) 39.6055 33.2330i 1.25432 1.05250i 0.258056 0.966130i \(-0.416918\pi\)
0.996263 0.0863691i \(-0.0275264\pi\)
\(998\) −6.60633 11.4425i −0.209120 0.362206i
\(999\) 45.6777 8.53406i 1.44518 0.270006i
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 378.2.w.a.121.6 yes 72
7.4 even 3 378.2.v.b.67.10 72
27.25 even 9 378.2.v.b.79.10 yes 72
189.25 even 9 inner 378.2.w.a.25.6 yes 72
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
378.2.v.b.67.10 72 7.4 even 3
378.2.v.b.79.10 yes 72 27.25 even 9
378.2.w.a.25.6 yes 72 189.25 even 9 inner
378.2.w.a.121.6 yes 72 1.1 even 1 trivial