Properties

Label 350.2.u.a.39.15
Level $350$
Weight $2$
Character 350.39
Analytic conductor $2.795$
Analytic rank $0$
Dimension $160$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [350,2,Mod(9,350)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(350, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([21, 10]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("350.9");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 350 = 2 \cdot 5^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 350.u (of order \(30\), degree \(8\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(2.79476407074\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(20\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 39.15
Character \(\chi\) \(=\) 350.39
Dual form 350.2.u.a.9.15

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.406737 - 0.913545i) q^{2} +(-0.339833 + 0.305987i) q^{3} +(-0.669131 - 0.743145i) q^{4} +(0.421551 - 2.19597i) q^{5} +(0.141311 + 0.434909i) q^{6} +(2.63940 - 0.183264i) q^{7} +(-0.951057 + 0.309017i) q^{8} +(-0.291727 + 2.77560i) q^{9} +O(q^{10})\) \(q+(0.406737 - 0.913545i) q^{2} +(-0.339833 + 0.305987i) q^{3} +(-0.669131 - 0.743145i) q^{4} +(0.421551 - 2.19597i) q^{5} +(0.141311 + 0.434909i) q^{6} +(2.63940 - 0.183264i) q^{7} +(-0.951057 + 0.309017i) q^{8} +(-0.291727 + 2.77560i) q^{9} +(-1.83466 - 1.27829i) q^{10} +(-0.567341 - 5.39789i) q^{11} +(0.454785 + 0.0477999i) q^{12} +(-0.162752 + 0.224009i) q^{13} +(0.906119 - 2.48575i) q^{14} +(0.528682 + 0.875253i) q^{15} +(-0.104528 + 0.994522i) q^{16} +(1.26975 - 5.97370i) q^{17} +(2.41698 + 1.39544i) q^{18} +(-0.625560 + 0.694755i) q^{19} +(-1.91400 + 1.15612i) q^{20} +(-0.840878 + 0.869900i) q^{21} +(-5.16198 - 1.67723i) q^{22} +(-1.84079 + 4.13447i) q^{23} +(0.228645 - 0.396025i) q^{24} +(-4.64459 - 1.85143i) q^{25} +(0.138445 + 0.239794i) q^{26} +(-1.55652 - 2.14237i) q^{27} +(-1.90229 - 1.83883i) q^{28} +(1.57757 - 4.85527i) q^{29} +(1.01462 - 0.126978i) q^{30} +(8.14401 + 1.73106i) q^{31} +(0.866025 + 0.500000i) q^{32} +(1.84449 + 1.66078i) q^{33} +(-4.94079 - 3.58970i) q^{34} +(0.710198 - 5.87330i) q^{35} +(2.25787 - 1.64044i) q^{36} +(-4.45055 - 0.467772i) q^{37} +(0.380252 + 0.854060i) q^{38} +(-0.0132353 - 0.125925i) q^{39} +(0.277674 + 2.21876i) q^{40} +(4.02705 + 2.92582i) q^{41} +(0.452678 + 1.12200i) q^{42} +6.90355i q^{43} +(-3.63179 + 4.03351i) q^{44} +(5.97216 + 1.81068i) q^{45} +(3.02831 + 3.36328i) q^{46} +(1.75761 + 8.26891i) q^{47} +(-0.268789 - 0.369956i) q^{48} +(6.93283 - 0.967413i) q^{49} +(-3.58049 + 3.49000i) q^{50} +(1.39637 + 2.41859i) q^{51} +(0.275373 - 0.0289429i) q^{52} +(-1.79791 + 1.61885i) q^{53} +(-2.59025 + 0.550574i) q^{54} +(-12.0928 - 1.02962i) q^{55} +(-2.45358 + 0.989913i) q^{56} -0.427514i q^{57} +(-3.79385 - 3.41600i) q^{58} +(1.49402 - 0.665183i) q^{59} +(0.296683 - 0.978546i) q^{60} +(2.74313 + 1.22132i) q^{61} +(4.89387 - 6.73584i) q^{62} +(-0.261316 + 7.37936i) q^{63} +(0.809017 - 0.587785i) q^{64} +(0.423308 + 0.451829i) q^{65} +(2.26742 - 1.00952i) q^{66} +(-2.71206 + 12.7593i) q^{67} +(-5.28895 + 3.05358i) q^{68} +(-0.639536 - 1.96829i) q^{69} +(-5.07666 - 3.03768i) q^{70} +(-3.82240 + 11.7642i) q^{71} +(-0.580258 - 2.72990i) q^{72} +(2.71977 - 0.285859i) q^{73} +(-2.23753 + 3.87552i) q^{74} +(2.14490 - 0.792007i) q^{75} +0.934885 q^{76} +(-2.48668 - 14.1432i) q^{77} +(-0.120422 - 0.0391274i) q^{78} +(9.14588 - 1.94402i) q^{79} +(2.13988 + 0.648784i) q^{80} +(-7.00520 - 1.48900i) q^{81} +(4.31082 - 2.48886i) q^{82} +(-5.02964 + 1.63423i) q^{83} +(1.20912 + 0.0428170i) q^{84} +(-12.5828 - 5.30655i) q^{85} +(6.30670 + 2.80793i) q^{86} +(0.949538 + 2.13270i) q^{87} +(2.20761 + 4.95838i) q^{88} +(10.0673 + 4.48224i) q^{89} +(4.08323 - 4.71937i) q^{90} +(-0.388514 + 0.621074i) q^{91} +(4.30424 - 1.39853i) q^{92} +(-3.29729 + 1.90369i) q^{93} +(8.26891 + 1.75761i) q^{94} +(1.26196 + 1.66659i) q^{95} +(-0.447298 + 0.0950760i) q^{96} +(1.58785 + 0.515923i) q^{97} +(1.93606 - 6.72694i) q^{98} +15.1479 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160 q - 20 q^{4} - 2 q^{5} + 8 q^{6} - 20 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 160 q - 20 q^{4} - 2 q^{5} + 8 q^{6} - 20 q^{9} - 2 q^{10} - 6 q^{11} - 16 q^{15} + 20 q^{16} - 20 q^{17} + 4 q^{19} - 4 q^{20} - 12 q^{21} + 40 q^{22} - 30 q^{23} - 16 q^{24} + 48 q^{26} - 120 q^{27} - 10 q^{28} + 24 q^{29} - 26 q^{30} - 6 q^{31} - 50 q^{33} - 16 q^{34} - 36 q^{35} - 40 q^{36} - 32 q^{39} + 2 q^{40} + 68 q^{41} + 10 q^{42} - 4 q^{44} + 16 q^{45} + 12 q^{46} + 24 q^{49} + 32 q^{50} + 12 q^{51} - 20 q^{53} + 16 q^{54} + 24 q^{55} + 24 q^{59} + 2 q^{60} - 8 q^{61} + 40 q^{64} + 2 q^{65} - 116 q^{69} - 118 q^{70} + 68 q^{71} - 40 q^{73} + 16 q^{74} + 196 q^{75} - 32 q^{76} - 80 q^{77} - 8 q^{79} - 2 q^{80} + 64 q^{81} - 160 q^{83} - 18 q^{84} + 12 q^{85} + 12 q^{86} - 10 q^{88} + 54 q^{89} + 44 q^{91} - 40 q^{92} - 16 q^{95} - 4 q^{96} - 20 q^{97} + 40 q^{98} - 24 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/350\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{3}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.406737 0.913545i 0.287606 0.645974i
\(3\) −0.339833 + 0.305987i −0.196203 + 0.176662i −0.761376 0.648310i \(-0.775476\pi\)
0.565173 + 0.824972i \(0.308809\pi\)
\(4\) −0.669131 0.743145i −0.334565 0.371572i
\(5\) 0.421551 2.19597i 0.188523 0.982069i
\(6\) 0.141311 + 0.434909i 0.0576898 + 0.177551i
\(7\) 2.63940 0.183264i 0.997598 0.0692673i
\(8\) −0.951057 + 0.309017i −0.336249 + 0.109254i
\(9\) −0.291727 + 2.77560i −0.0972423 + 0.925199i
\(10\) −1.83466 1.27829i −0.580170 0.404230i
\(11\) −0.567341 5.39789i −0.171060 1.62753i −0.657250 0.753672i \(-0.728281\pi\)
0.486190 0.873853i \(-0.338386\pi\)
\(12\) 0.454785 + 0.0477999i 0.131285 + 0.0137986i
\(13\) −0.162752 + 0.224009i −0.0451392 + 0.0621288i −0.830990 0.556287i \(-0.812225\pi\)
0.785851 + 0.618416i \(0.212225\pi\)
\(14\) 0.906119 2.48575i 0.242171 0.664344i
\(15\) 0.528682 + 0.875253i 0.136505 + 0.225989i
\(16\) −0.104528 + 0.994522i −0.0261321 + 0.248630i
\(17\) 1.26975 5.97370i 0.307959 1.44883i −0.503281 0.864123i \(-0.667874\pi\)
0.811241 0.584712i \(-0.198793\pi\)
\(18\) 2.41698 + 1.39544i 0.569687 + 0.328909i
\(19\) −0.625560 + 0.694755i −0.143513 + 0.159388i −0.810616 0.585578i \(-0.800868\pi\)
0.667103 + 0.744966i \(0.267534\pi\)
\(20\) −1.91400 + 1.15612i −0.427983 + 0.258516i
\(21\) −0.840878 + 0.869900i −0.183495 + 0.189828i
\(22\) −5.16198 1.67723i −1.10054 0.357586i
\(23\) −1.84079 + 4.13447i −0.383831 + 0.862097i 0.613543 + 0.789662i \(0.289744\pi\)
−0.997373 + 0.0724358i \(0.976923\pi\)
\(24\) 0.228645 0.396025i 0.0466720 0.0808383i
\(25\) −4.64459 1.85143i −0.928918 0.370286i
\(26\) 0.138445 + 0.239794i 0.0271513 + 0.0470274i
\(27\) −1.55652 2.14237i −0.299553 0.412300i
\(28\) −1.90229 1.83883i −0.359500 0.347506i
\(29\) 1.57757 4.85527i 0.292948 0.901600i −0.690955 0.722897i \(-0.742810\pi\)
0.983903 0.178703i \(-0.0571901\pi\)
\(30\) 1.01462 0.126978i 0.185243 0.0231828i
\(31\) 8.14401 + 1.73106i 1.46271 + 0.310908i 0.869417 0.494080i \(-0.164495\pi\)
0.593291 + 0.804988i \(0.297828\pi\)
\(32\) 0.866025 + 0.500000i 0.153093 + 0.0883883i
\(33\) 1.84449 + 1.66078i 0.321084 + 0.289105i
\(34\) −4.94079 3.58970i −0.847339 0.615628i
\(35\) 0.710198 5.87330i 0.120045 0.992768i
\(36\) 2.25787 1.64044i 0.376312 0.273407i
\(37\) −4.45055 0.467772i −0.731666 0.0769012i −0.268634 0.963242i \(-0.586572\pi\)
−0.463033 + 0.886341i \(0.653239\pi\)
\(38\) 0.380252 + 0.854060i 0.0616850 + 0.138547i
\(39\) −0.0132353 0.125925i −0.00211934 0.0201642i
\(40\) 0.277674 + 2.21876i 0.0439041 + 0.350817i
\(41\) 4.02705 + 2.92582i 0.628920 + 0.456937i 0.856026 0.516933i \(-0.172926\pi\)
−0.227106 + 0.973870i \(0.572926\pi\)
\(42\) 0.452678 + 1.12200i 0.0698497 + 0.173128i
\(43\) 6.90355i 1.05278i 0.850243 + 0.526391i \(0.176455\pi\)
−0.850243 + 0.526391i \(0.823545\pi\)
\(44\) −3.63179 + 4.03351i −0.547513 + 0.608075i
\(45\) 5.97216 + 1.81068i 0.890276 + 0.269920i
\(46\) 3.02831 + 3.36328i 0.446501 + 0.495889i
\(47\) 1.75761 + 8.26891i 0.256374 + 1.20614i 0.898302 + 0.439379i \(0.144801\pi\)
−0.641928 + 0.766765i \(0.721865\pi\)
\(48\) −0.268789 0.369956i −0.0387963 0.0533985i
\(49\) 6.93283 0.967413i 0.990404 0.138202i
\(50\) −3.58049 + 3.49000i −0.506358 + 0.493560i
\(51\) 1.39637 + 2.41859i 0.195531 + 0.338670i
\(52\) 0.275373 0.0289429i 0.0381874 0.00401365i
\(53\) −1.79791 + 1.61885i −0.246962 + 0.222366i −0.783310 0.621631i \(-0.786470\pi\)
0.536348 + 0.843997i \(0.319804\pi\)
\(54\) −2.59025 + 0.550574i −0.352488 + 0.0749237i
\(55\) −12.0928 1.02962i −1.63059 0.138834i
\(56\) −2.45358 + 0.989913i −0.327874 + 0.132283i
\(57\) 0.427514i 0.0566256i
\(58\) −3.79385 3.41600i −0.498157 0.448542i
\(59\) 1.49402 0.665183i 0.194505 0.0865994i −0.307173 0.951654i \(-0.599383\pi\)
0.501678 + 0.865054i \(0.332716\pi\)
\(60\) 0.296683 0.978546i 0.0383016 0.126330i
\(61\) 2.74313 + 1.22132i 0.351222 + 0.156374i 0.574762 0.818321i \(-0.305095\pi\)
−0.223540 + 0.974695i \(0.571761\pi\)
\(62\) 4.89387 6.73584i 0.621522 0.855452i
\(63\) −0.261316 + 7.37936i −0.0329227 + 0.929712i
\(64\) 0.809017 0.587785i 0.101127 0.0734732i
\(65\) 0.423308 + 0.451829i 0.0525049 + 0.0560425i
\(66\) 2.26742 1.00952i 0.279100 0.124263i
\(67\) −2.71206 + 12.7593i −0.331331 + 1.55879i 0.425364 + 0.905022i \(0.360146\pi\)
−0.756695 + 0.653768i \(0.773187\pi\)
\(68\) −5.28895 + 3.05358i −0.641380 + 0.370301i
\(69\) −0.639536 1.96829i −0.0769910 0.236954i
\(70\) −5.07666 3.03768i −0.606777 0.363073i
\(71\) −3.82240 + 11.7642i −0.453636 + 1.39615i 0.419093 + 0.907943i \(0.362348\pi\)
−0.872729 + 0.488205i \(0.837652\pi\)
\(72\) −0.580258 2.72990i −0.0683840 0.321722i
\(73\) 2.71977 0.285859i 0.318325 0.0334573i 0.0559813 0.998432i \(-0.482171\pi\)
0.262344 + 0.964975i \(0.415505\pi\)
\(74\) −2.23753 + 3.87552i −0.260108 + 0.450520i
\(75\) 2.14490 0.792007i 0.247672 0.0914531i
\(76\) 0.934885 0.107239
\(77\) −2.48668 14.1432i −0.283383 1.61177i
\(78\) −0.120422 0.0391274i −0.0136351 0.00443031i
\(79\) 9.14588 1.94402i 1.02899 0.218719i 0.337669 0.941265i \(-0.390361\pi\)
0.691323 + 0.722546i \(0.257028\pi\)
\(80\) 2.13988 + 0.648784i 0.239246 + 0.0725362i
\(81\) −7.00520 1.48900i −0.778355 0.165445i
\(82\) 4.31082 2.48886i 0.476051 0.274848i
\(83\) −5.02964 + 1.63423i −0.552074 + 0.179380i −0.571752 0.820427i \(-0.693736\pi\)
0.0196775 + 0.999806i \(0.493736\pi\)
\(84\) 1.20912 + 0.0428170i 0.131926 + 0.00467172i
\(85\) −12.5828 5.30655i −1.36480 0.575577i
\(86\) 6.30670 + 2.80793i 0.680069 + 0.302786i
\(87\) 0.949538 + 2.13270i 0.101801 + 0.228649i
\(88\) 2.20761 + 4.95838i 0.235332 + 0.528565i
\(89\) 10.0673 + 4.48224i 1.06713 + 0.475117i 0.863718 0.503976i \(-0.168130\pi\)
0.203413 + 0.979093i \(0.434797\pi\)
\(90\) 4.08323 4.71937i 0.430411 0.497465i
\(91\) −0.388514 + 0.621074i −0.0407273 + 0.0651062i
\(92\) 4.30424 1.39853i 0.448748 0.145807i
\(93\) −3.29729 + 1.90369i −0.341913 + 0.197403i
\(94\) 8.26891 + 1.75761i 0.852873 + 0.181284i
\(95\) 1.26196 + 1.66659i 0.129474 + 0.170988i
\(96\) −0.447298 + 0.0950760i −0.0456521 + 0.00970366i
\(97\) 1.58785 + 0.515923i 0.161222 + 0.0523841i 0.388516 0.921442i \(-0.372988\pi\)
−0.227294 + 0.973826i \(0.572988\pi\)
\(98\) 1.93606 6.72694i 0.195572 0.679523i
\(99\) 15.1479 1.52242
\(100\) 1.73196 + 4.69045i 0.173196 + 0.469045i
\(101\) 8.45490 14.6443i 0.841294 1.45716i −0.0475066 0.998871i \(-0.515128\pi\)
0.888801 0.458294i \(-0.151539\pi\)
\(102\) 2.77745 0.291921i 0.275008 0.0289045i
\(103\) 0.157821 + 0.742488i 0.0155505 + 0.0731595i 0.985239 0.171186i \(-0.0547601\pi\)
−0.969688 + 0.244346i \(0.921427\pi\)
\(104\) 0.0855636 0.263338i 0.00839021 0.0258224i
\(105\) 1.55580 + 2.21325i 0.151831 + 0.215991i
\(106\) 0.747614 + 2.30092i 0.0726147 + 0.223485i
\(107\) −1.82709 + 1.05487i −0.176632 + 0.101978i −0.585709 0.810521i \(-0.699184\pi\)
0.409078 + 0.912500i \(0.365851\pi\)
\(108\) −0.550574 + 2.59025i −0.0529791 + 0.249247i
\(109\) −9.58523 + 4.26762i −0.918099 + 0.408764i −0.810707 0.585453i \(-0.800917\pi\)
−0.107392 + 0.994217i \(0.534250\pi\)
\(110\) −5.85918 + 10.6285i −0.558651 + 1.01339i
\(111\) 1.65558 1.20285i 0.157140 0.114169i
\(112\) −0.0936319 + 2.64409i −0.00884739 + 0.249843i
\(113\) −2.58893 + 3.56336i −0.243547 + 0.335213i −0.913238 0.407426i \(-0.866426\pi\)
0.669692 + 0.742639i \(0.266426\pi\)
\(114\) −0.390553 0.173886i −0.0365787 0.0162859i
\(115\) 8.30321 + 5.78521i 0.774278 + 0.539474i
\(116\) −4.66377 + 2.07644i −0.433020 + 0.192793i
\(117\) −0.574278 0.517082i −0.0530920 0.0478043i
\(118\) 1.63541i 0.150552i
\(119\) 2.25661 15.9997i 0.206863 1.46669i
\(120\) −0.773275 0.669044i −0.0705900 0.0610750i
\(121\) −18.0557 + 3.83786i −1.64143 + 0.348897i
\(122\) 2.23146 2.00922i 0.202027 0.181906i
\(123\) −2.26379 + 0.237934i −0.204119 + 0.0214538i
\(124\) −4.16298 7.21049i −0.373846 0.647521i
\(125\) −6.02362 + 9.41892i −0.538769 + 0.842454i
\(126\) 6.63510 + 3.24018i 0.591101 + 0.288658i
\(127\) −1.93484 2.66308i −0.171690 0.236310i 0.714498 0.699638i \(-0.246655\pi\)
−0.886187 + 0.463328i \(0.846655\pi\)
\(128\) −0.207912 0.978148i −0.0183770 0.0864569i
\(129\) −2.11240 2.34605i −0.185986 0.206559i
\(130\) 0.584942 0.202936i 0.0513028 0.0177987i
\(131\) 10.9504 12.1616i 0.956737 1.06256i −0.0412499 0.999149i \(-0.513134\pi\)
0.997987 0.0634156i \(-0.0201994\pi\)
\(132\) 2.48200i 0.216030i
\(133\) −1.52378 + 1.94838i −0.132128 + 0.168946i
\(134\) 10.5531 + 7.66725i 0.911646 + 0.662349i
\(135\) −5.36074 + 2.51496i −0.461379 + 0.216454i
\(136\) 0.638372 + 6.07370i 0.0547399 + 0.520815i
\(137\) −4.73428 10.6334i −0.404477 0.908470i −0.994852 0.101341i \(-0.967687\pi\)
0.590375 0.807129i \(-0.298980\pi\)
\(138\) −2.05824 0.216330i −0.175209 0.0184152i
\(139\) −1.00381 + 0.729309i −0.0851418 + 0.0618592i −0.629542 0.776967i \(-0.716757\pi\)
0.544400 + 0.838826i \(0.316757\pi\)
\(140\) −4.83993 + 3.40222i −0.409048 + 0.287540i
\(141\) −3.12747 2.27224i −0.263381 0.191357i
\(142\) 9.19238 + 8.27685i 0.771407 + 0.694578i
\(143\) 1.30151 + 0.751427i 0.108838 + 0.0628375i
\(144\) −2.72990 0.580258i −0.227491 0.0483548i
\(145\) −9.99700 5.51105i −0.830206 0.457667i
\(146\) 0.845085 2.60090i 0.0699397 0.215252i
\(147\) −2.05999 + 2.45011i −0.169905 + 0.202082i
\(148\) 2.63038 + 3.62041i 0.216216 + 0.297596i
\(149\) −7.82346 13.5506i −0.640923 1.11011i −0.985227 0.171252i \(-0.945219\pi\)
0.344305 0.938858i \(-0.388115\pi\)
\(150\) 0.148874 2.28160i 0.0121555 0.186292i
\(151\) 4.64962 8.05338i 0.378381 0.655375i −0.612446 0.790513i \(-0.709814\pi\)
0.990827 + 0.135137i \(0.0431476\pi\)
\(152\) 0.380252 0.854060i 0.0308425 0.0692734i
\(153\) 16.2102 + 5.26700i 1.31051 + 0.425812i
\(154\) −13.9319 3.48087i −1.12266 0.280496i
\(155\) 7.23449 17.1543i 0.581088 1.37787i
\(156\) −0.0847247 + 0.0940963i −0.00678340 + 0.00753373i
\(157\) −18.8319 10.8726i −1.50295 0.867727i −0.999994 0.00341263i \(-0.998914\pi\)
−0.502953 0.864314i \(-0.667753\pi\)
\(158\) 1.94402 9.14588i 0.154658 0.727607i
\(159\) 0.115644 1.10028i 0.00917114 0.0872576i
\(160\) 1.46306 1.69099i 0.115665 0.133685i
\(161\) −4.10087 + 11.2499i −0.323193 + 0.886614i
\(162\) −4.20954 + 5.79393i −0.330733 + 0.455215i
\(163\) 9.92465 + 1.04312i 0.777358 + 0.0817036i 0.484894 0.874573i \(-0.338858\pi\)
0.292464 + 0.956276i \(0.405525\pi\)
\(164\) −0.520312 4.95044i −0.0406296 0.386565i
\(165\) 4.42458 3.35034i 0.344453 0.260823i
\(166\) −0.552796 + 5.25950i −0.0429053 + 0.408217i
\(167\) −2.97711 + 0.967322i −0.230376 + 0.0748537i −0.421930 0.906628i \(-0.638647\pi\)
0.191554 + 0.981482i \(0.438647\pi\)
\(168\) 0.530908 1.08717i 0.0409605 0.0838770i
\(169\) 3.99353 + 12.2908i 0.307195 + 0.945448i
\(170\) −9.96567 + 9.33660i −0.764332 + 0.716085i
\(171\) −1.74587 1.93898i −0.133510 0.148278i
\(172\) 5.13034 4.61937i 0.391184 0.352224i
\(173\) −6.38153 + 14.3332i −0.485179 + 1.08973i 0.490682 + 0.871338i \(0.336748\pi\)
−0.975861 + 0.218391i \(0.929919\pi\)
\(174\) 2.33453 0.176980
\(175\) −12.5982 4.03547i −0.952335 0.305053i
\(176\) 5.42762 0.409123
\(177\) −0.304182 + 0.683203i −0.0228637 + 0.0513527i
\(178\) 8.18947 7.37383i 0.613827 0.552692i
\(179\) 8.66663 + 9.62527i 0.647775 + 0.719427i 0.974172 0.225806i \(-0.0725015\pi\)
−0.326398 + 0.945233i \(0.605835\pi\)
\(180\) −2.65055 5.64976i −0.197561 0.421108i
\(181\) −5.28134 16.2543i −0.392559 1.20817i −0.930847 0.365410i \(-0.880929\pi\)
0.538288 0.842761i \(-0.319071\pi\)
\(182\) 0.409356 + 0.607538i 0.0303435 + 0.0450337i
\(183\) −1.30591 + 0.424317i −0.0965359 + 0.0313664i
\(184\) 0.473069 4.50095i 0.0348751 0.331815i
\(185\) −2.90335 + 9.57610i −0.213459 + 0.704049i
\(186\) 0.397980 + 3.78652i 0.0291813 + 0.277641i
\(187\) −32.9658 3.46484i −2.41069 0.253374i
\(188\) 4.96892 6.83914i 0.362396 0.498795i
\(189\) −4.50090 5.36931i −0.327393 0.390560i
\(190\) 2.03579 0.474993i 0.147692 0.0344596i
\(191\) −2.48910 + 23.6822i −0.180105 + 1.71358i 0.414904 + 0.909865i \(0.363815\pi\)
−0.595009 + 0.803719i \(0.702851\pi\)
\(192\) −0.0950760 + 0.447298i −0.00686152 + 0.0322809i
\(193\) −10.5900 6.11413i −0.762284 0.440105i 0.0678311 0.997697i \(-0.478392\pi\)
−0.830115 + 0.557592i \(0.811725\pi\)
\(194\) 1.11716 1.24073i 0.0802071 0.0890790i
\(195\) −0.282108 0.0240197i −0.0202022 0.00172009i
\(196\) −5.35790 4.50477i −0.382707 0.321769i
\(197\) 5.37037 + 1.74494i 0.382623 + 0.124322i 0.494012 0.869455i \(-0.335530\pi\)
−0.111389 + 0.993777i \(0.535530\pi\)
\(198\) 6.16120 13.8383i 0.437857 0.983443i
\(199\) −6.84582 + 11.8573i −0.485287 + 0.840542i −0.999857 0.0169065i \(-0.994618\pi\)
0.514570 + 0.857448i \(0.327952\pi\)
\(200\) 4.98939 + 0.325557i 0.352803 + 0.0230204i
\(201\) −2.98252 5.16587i −0.210371 0.364372i
\(202\) −9.93933 13.6803i −0.699329 0.962544i
\(203\) 3.27404 13.1041i 0.229793 0.919726i
\(204\) 0.863005 2.65606i 0.0604225 0.185961i
\(205\) 8.12264 7.60991i 0.567310 0.531499i
\(206\) 0.742488 + 0.157821i 0.0517316 + 0.0109959i
\(207\) −10.9386 6.31542i −0.760287 0.438952i
\(208\) −0.205769 0.185275i −0.0142675 0.0128465i
\(209\) 4.10512 + 2.98254i 0.283957 + 0.206307i
\(210\) 2.65471 0.521087i 0.183192 0.0359584i
\(211\) −9.11034 + 6.61905i −0.627182 + 0.455674i −0.855423 0.517930i \(-0.826703\pi\)
0.228241 + 0.973605i \(0.426703\pi\)
\(212\) 2.40608 + 0.252889i 0.165250 + 0.0173685i
\(213\) −2.30070 5.16745i −0.157641 0.354068i
\(214\) 0.220528 + 2.09819i 0.0150750 + 0.143429i
\(215\) 15.1600 + 2.91020i 1.03390 + 0.198474i
\(216\) 2.14237 + 1.55652i 0.145770 + 0.105908i
\(217\) 21.8125 + 3.07646i 1.48073 + 0.208844i
\(218\) 10.4923i 0.710631i
\(219\) −0.836799 + 0.929359i −0.0565456 + 0.0628003i
\(220\) 7.32649 + 9.67564i 0.493952 + 0.652332i
\(221\) 1.13151 + 1.25666i 0.0761133 + 0.0845324i
\(222\) −0.425472 2.00169i −0.0285558 0.134344i
\(223\) −13.3128 18.3235i −0.891492 1.22703i −0.973103 0.230369i \(-0.926007\pi\)
0.0816114 0.996664i \(-0.473993\pi\)
\(224\) 2.37742 + 1.16099i 0.158848 + 0.0775717i
\(225\) 6.49377 12.3514i 0.432918 0.823426i
\(226\) 2.20228 + 3.81446i 0.146493 + 0.253734i
\(227\) 18.7842 1.97429i 1.24675 0.131039i 0.541928 0.840425i \(-0.317694\pi\)
0.704820 + 0.709386i \(0.251028\pi\)
\(228\) −0.317705 + 0.286063i −0.0210405 + 0.0189450i
\(229\) 7.81263 1.66063i 0.516273 0.109737i 0.0575956 0.998340i \(-0.481657\pi\)
0.458678 + 0.888603i \(0.348323\pi\)
\(230\) 8.66227 5.23230i 0.571173 0.345008i
\(231\) 5.17269 + 4.04544i 0.340338 + 0.266170i
\(232\) 5.10513i 0.335168i
\(233\) −3.14684 2.83342i −0.206156 0.185624i 0.559585 0.828773i \(-0.310961\pi\)
−0.765741 + 0.643149i \(0.777627\pi\)
\(234\) −0.705958 + 0.314313i −0.0461499 + 0.0205473i
\(235\) 18.8992 0.373896i 1.23285 0.0243903i
\(236\) −1.49402 0.665183i −0.0972527 0.0432997i
\(237\) −2.51323 + 3.45916i −0.163252 + 0.224697i
\(238\) −13.6986 8.56916i −0.887947 0.555456i
\(239\) 12.1081 8.79704i 0.783207 0.569033i −0.122733 0.992440i \(-0.539166\pi\)
0.905940 + 0.423407i \(0.139166\pi\)
\(240\) −0.925721 + 0.434297i −0.0597550 + 0.0280338i
\(241\) −11.2161 + 4.99374i −0.722494 + 0.321675i −0.734832 0.678249i \(-0.762739\pi\)
0.0123382 + 0.999924i \(0.496073\pi\)
\(242\) −3.83786 + 18.0557i −0.246707 + 1.16067i
\(243\) 9.71622 5.60966i 0.623296 0.359860i
\(244\) −0.927894 2.85576i −0.0594023 0.182822i
\(245\) 0.798130 15.6321i 0.0509907 0.998699i
\(246\) −0.703403 + 2.16485i −0.0448473 + 0.138026i
\(247\) −0.0538200 0.253203i −0.00342449 0.0161109i
\(248\) −8.28034 + 0.870299i −0.525802 + 0.0552641i
\(249\) 1.20918 2.09437i 0.0766290 0.132725i
\(250\) 6.15458 + 9.33387i 0.389250 + 0.590326i
\(251\) −20.1057 −1.26906 −0.634530 0.772898i \(-0.718806\pi\)
−0.634530 + 0.772898i \(0.718806\pi\)
\(252\) 5.65879 4.74356i 0.356470 0.298816i
\(253\) 23.3618 + 7.59071i 1.46874 + 0.477224i
\(254\) −3.21982 + 0.684394i −0.202029 + 0.0429427i
\(255\) 5.89979 2.04684i 0.369459 0.128178i
\(256\) −0.978148 0.207912i −0.0611342 0.0129945i
\(257\) −1.29295 + 0.746487i −0.0806522 + 0.0465646i −0.539784 0.841804i \(-0.681494\pi\)
0.459132 + 0.888368i \(0.348161\pi\)
\(258\) −3.00242 + 0.975544i −0.186922 + 0.0607347i
\(259\) −11.8325 0.419009i −0.735236 0.0260360i
\(260\) 0.0525261 0.616912i 0.00325753 0.0382593i
\(261\) 13.0160 + 5.79511i 0.805672 + 0.358709i
\(262\) −6.65627 14.9502i −0.411226 0.923628i
\(263\) −11.1718 25.0923i −0.688885 1.54726i −0.830304 0.557311i \(-0.811833\pi\)
0.141419 0.989950i \(-0.454833\pi\)
\(264\) −2.26742 1.00952i −0.139550 0.0621317i
\(265\) 2.79703 + 4.63059i 0.171820 + 0.284455i
\(266\) 1.16015 + 2.18452i 0.0711336 + 0.133941i
\(267\) −4.79271 + 1.55724i −0.293309 + 0.0953018i
\(268\) 11.2967 6.52215i 0.690055 0.398404i
\(269\) 22.9609 + 4.88049i 1.39995 + 0.297569i 0.845201 0.534448i \(-0.179481\pi\)
0.554750 + 0.832017i \(0.312814\pi\)
\(270\) 0.117123 + 5.92021i 0.00712791 + 0.360293i
\(271\) −12.6596 + 2.69088i −0.769017 + 0.163460i −0.575682 0.817673i \(-0.695264\pi\)
−0.193334 + 0.981133i \(0.561930\pi\)
\(272\) 5.80825 + 1.88721i 0.352177 + 0.114429i
\(273\) −0.0580108 0.329942i −0.00351097 0.0199690i
\(274\) −11.6397 −0.703178
\(275\) −7.35875 + 26.1214i −0.443749 + 1.57518i
\(276\) −1.03479 + 1.79231i −0.0622871 + 0.107884i
\(277\) 24.5925 2.58478i 1.47762 0.155304i 0.668836 0.743410i \(-0.266793\pi\)
0.808784 + 0.588106i \(0.200126\pi\)
\(278\) 0.257971 + 1.21366i 0.0154721 + 0.0727905i
\(279\) −7.18056 + 22.0995i −0.429889 + 1.32306i
\(280\) 1.13951 + 5.80530i 0.0680987 + 0.346933i
\(281\) −9.09305 27.9855i −0.542446 1.66948i −0.726987 0.686651i \(-0.759080\pi\)
0.184541 0.982825i \(-0.440920\pi\)
\(282\) −3.34785 + 1.93288i −0.199362 + 0.115102i
\(283\) −5.14439 + 24.2024i −0.305802 + 1.43869i 0.509910 + 0.860228i \(0.329679\pi\)
−0.815712 + 0.578458i \(0.803655\pi\)
\(284\) 11.3002 5.03115i 0.670541 0.298544i
\(285\) −0.938809 0.180219i −0.0556102 0.0106753i
\(286\) 1.21583 0.883355i 0.0718938 0.0522339i
\(287\) 11.1652 + 6.98440i 0.659060 + 0.412276i
\(288\) −1.64044 + 2.25787i −0.0966639 + 0.133046i
\(289\) −18.5425 8.25567i −1.09074 0.485628i
\(290\) −9.10074 + 6.89117i −0.534414 + 0.404663i
\(291\) −0.697469 + 0.310533i −0.0408864 + 0.0182038i
\(292\) −2.03232 1.82991i −0.118932 0.107087i
\(293\) 6.37698i 0.372547i 0.982498 + 0.186274i \(0.0596411\pi\)
−0.982498 + 0.186274i \(0.940359\pi\)
\(294\) 1.40042 + 2.87844i 0.0816741 + 0.167874i
\(295\) −0.830915 3.56125i −0.0483777 0.207344i
\(296\) 4.37728 0.930419i 0.254424 0.0540795i
\(297\) −10.6812 + 9.61740i −0.619787 + 0.558058i
\(298\) −15.5612 + 1.63555i −0.901436 + 0.0947447i
\(299\) −0.626566 1.08524i −0.0362353 0.0627613i
\(300\) −2.02379 1.06401i −0.116844 0.0614309i
\(301\) 1.26517 + 18.2212i 0.0729233 + 1.05025i
\(302\) −5.46596 7.52325i −0.314531 0.432914i
\(303\) 1.60772 + 7.56372i 0.0923610 + 0.434524i
\(304\) −0.625560 0.694755i −0.0358783 0.0398469i
\(305\) 3.83835 5.50898i 0.219783 0.315443i
\(306\) 11.4049 12.6664i 0.651975 0.724092i
\(307\) 28.0613i 1.60155i 0.598968 + 0.800773i \(0.295578\pi\)
−0.598968 + 0.800773i \(0.704422\pi\)
\(308\) −8.84654 + 11.3116i −0.504078 + 0.644539i
\(309\) −0.280824 0.204031i −0.0159755 0.0116069i
\(310\) −12.7287 13.5863i −0.722941 0.771651i
\(311\) −1.05025 9.99248i −0.0595543 0.566621i −0.983092 0.183113i \(-0.941382\pi\)
0.923538 0.383508i \(-0.125284\pi\)
\(312\) 0.0515006 + 0.115672i 0.00291565 + 0.00654865i
\(313\) 19.3181 + 2.03041i 1.09192 + 0.114766i 0.633331 0.773881i \(-0.281687\pi\)
0.458592 + 0.888647i \(0.348354\pi\)
\(314\) −17.5922 + 12.7815i −0.992786 + 0.721301i
\(315\) 16.0947 + 3.68462i 0.906835 + 0.207605i
\(316\) −7.56448 5.49591i −0.425535 0.309169i
\(317\) 19.9293 + 17.9444i 1.11934 + 1.00786i 0.999887 + 0.0150185i \(0.00478072\pi\)
0.119453 + 0.992840i \(0.461886\pi\)
\(318\) −0.958116 0.553168i −0.0537285 0.0310201i
\(319\) −27.1032 5.76097i −1.51749 0.322552i
\(320\) −0.949718 2.02436i −0.0530909 0.113165i
\(321\) 0.298129 0.917547i 0.0166399 0.0512125i
\(322\) 8.60929 + 8.32206i 0.479777 + 0.463770i
\(323\) 3.35595 + 4.61907i 0.186730 + 0.257012i
\(324\) 3.58085 + 6.20221i 0.198936 + 0.344567i
\(325\) 1.17065 0.739104i 0.0649360 0.0409981i
\(326\) 4.98966 8.64234i 0.276352 0.478655i
\(327\) 1.95154 4.38324i 0.107921 0.242394i
\(328\) −4.73408 1.53820i −0.261396 0.0849327i
\(329\) 6.15442 + 21.5028i 0.339304 + 1.18549i
\(330\) −1.26105 5.40476i −0.0694183 0.297522i
\(331\) 0.249194 0.276758i 0.0136970 0.0152120i −0.736257 0.676702i \(-0.763409\pi\)
0.749954 + 0.661490i \(0.230075\pi\)
\(332\) 4.57995 + 2.64424i 0.251358 + 0.145121i
\(333\) 2.59669 12.2165i 0.142298 0.669459i
\(334\) −0.327208 + 3.11317i −0.0179040 + 0.170345i
\(335\) 26.8757 + 11.3343i 1.46838 + 0.619259i
\(336\) −0.777239 0.927201i −0.0424019 0.0505830i
\(337\) −15.2049 + 20.9278i −0.828266 + 1.14001i 0.159977 + 0.987121i \(0.448858\pi\)
−0.988243 + 0.152890i \(0.951142\pi\)
\(338\) 12.8525 + 1.35086i 0.699086 + 0.0734769i
\(339\) −0.210537 2.00313i −0.0114348 0.108795i
\(340\) 4.47601 + 12.9016i 0.242746 + 0.699689i
\(341\) 4.72366 44.9426i 0.255800 2.43378i
\(342\) −2.48146 + 0.806274i −0.134182 + 0.0435983i
\(343\) 18.1212 3.82393i 0.978452 0.206473i
\(344\) −2.13331 6.56566i −0.115021 0.353997i
\(345\) −4.59190 + 0.574668i −0.247220 + 0.0309391i
\(346\) 10.4984 + 11.6596i 0.564397 + 0.626826i
\(347\) −8.45778 + 7.61542i −0.454037 + 0.408817i −0.864163 0.503212i \(-0.832152\pi\)
0.410126 + 0.912029i \(0.365485\pi\)
\(348\) 0.949538 2.13270i 0.0509006 0.114325i
\(349\) −2.05302 −0.109896 −0.0549479 0.998489i \(-0.517499\pi\)
−0.0549479 + 0.998489i \(0.517499\pi\)
\(350\) −8.81074 + 9.86767i −0.470954 + 0.527449i
\(351\) 0.733237 0.0391373
\(352\) 2.20761 4.95838i 0.117666 0.264283i
\(353\) −23.1625 + 20.8556i −1.23282 + 1.11003i −0.242653 + 0.970113i \(0.578018\pi\)
−0.990163 + 0.139919i \(0.955316\pi\)
\(354\) 0.500415 + 0.555768i 0.0265968 + 0.0295387i
\(355\) 24.2224 + 13.3531i 1.28559 + 0.708708i
\(356\) −3.40537 10.4807i −0.180484 0.555474i
\(357\) 4.12882 + 6.12771i 0.218520 + 0.324313i
\(358\) 12.3182 4.00241i 0.651035 0.211534i
\(359\) 0.782342 7.44348i 0.0412904 0.392852i −0.954286 0.298895i \(-0.903382\pi\)
0.995576 0.0939567i \(-0.0299515\pi\)
\(360\) −6.23939 + 0.123438i −0.328845 + 0.00650575i
\(361\) 1.89468 + 18.0267i 0.0997201 + 0.948773i
\(362\) −16.9971 1.78647i −0.893350 0.0938948i
\(363\) 4.96160 6.82905i 0.260416 0.358432i
\(364\) 0.721514 0.126858i 0.0378176 0.00664915i
\(365\) 0.518783 6.09304i 0.0271544 0.318924i
\(366\) −0.143530 + 1.36560i −0.00750243 + 0.0713809i
\(367\) 6.16422 29.0004i 0.321770 1.51381i −0.458687 0.888598i \(-0.651680\pi\)
0.780457 0.625210i \(-0.214987\pi\)
\(368\) −3.91941 2.26287i −0.204313 0.117960i
\(369\) −9.29571 + 10.3239i −0.483915 + 0.537442i
\(370\) 7.56731 + 6.54729i 0.393405 + 0.340378i
\(371\) −4.44873 + 4.60227i −0.230966 + 0.238938i
\(372\) 3.62103 + 1.17655i 0.187742 + 0.0610010i
\(373\) 11.9552 26.8518i 0.619015 1.39033i −0.283207 0.959059i \(-0.591398\pi\)
0.902222 0.431272i \(-0.141935\pi\)
\(374\) −16.5737 + 28.7064i −0.857004 + 1.48437i
\(375\) −0.835041 5.04401i −0.0431213 0.260472i
\(376\) −4.22682 7.32107i −0.217982 0.377555i
\(377\) 0.830868 + 1.14359i 0.0427919 + 0.0588980i
\(378\) −6.73579 + 1.92788i −0.346452 + 0.0991597i
\(379\) 2.80088 8.62022i 0.143871 0.442791i −0.852993 0.521923i \(-0.825215\pi\)
0.996864 + 0.0791321i \(0.0252149\pi\)
\(380\) 0.394102 2.05298i 0.0202170 0.105316i
\(381\) 1.47239 + 0.312967i 0.0754330 + 0.0160338i
\(382\) 20.6224 + 11.9063i 1.05513 + 0.609181i
\(383\) −6.51582 5.86687i −0.332943 0.299783i 0.485654 0.874151i \(-0.338581\pi\)
−0.818598 + 0.574368i \(0.805248\pi\)
\(384\) 0.369956 + 0.268789i 0.0188792 + 0.0137166i
\(385\) −32.1063 0.501409i −1.63629 0.0255542i
\(386\) −9.89288 + 7.18760i −0.503534 + 0.365839i
\(387\) −19.1615 2.01395i −0.974032 0.102375i
\(388\) −0.679072 1.52522i −0.0344747 0.0774314i
\(389\) 3.12807 + 29.7616i 0.158599 + 1.50897i 0.727238 + 0.686385i \(0.240804\pi\)
−0.568639 + 0.822587i \(0.692530\pi\)
\(390\) −0.136687 + 0.247949i −0.00692140 + 0.0125554i
\(391\) 22.3608 + 16.2460i 1.13083 + 0.821598i
\(392\) −6.29456 + 3.06243i −0.317924 + 0.154676i
\(393\) 7.48358i 0.377497i
\(394\) 3.77841 4.19635i 0.190354 0.211409i
\(395\) −0.413550 20.9036i −0.0208080 1.05177i
\(396\) −10.1359 11.2571i −0.509349 0.565689i
\(397\) −0.979854 4.60985i −0.0491775 0.231362i 0.946694 0.322133i \(-0.104400\pi\)
−0.995872 + 0.0907717i \(0.971067\pi\)
\(398\) 8.04774 + 11.0768i 0.403397 + 0.555228i
\(399\) −0.0783480 1.12838i −0.00392230 0.0564896i
\(400\) 2.32678 4.42562i 0.116339 0.221281i
\(401\) −14.2842 24.7410i −0.713320 1.23551i −0.963604 0.267334i \(-0.913857\pi\)
0.250284 0.968172i \(-0.419476\pi\)
\(402\) −5.93236 + 0.623516i −0.295879 + 0.0310981i
\(403\) −1.71322 + 1.54259i −0.0853418 + 0.0768421i
\(404\) −16.5403 + 3.51575i −0.822910 + 0.174915i
\(405\) −6.22285 + 14.7555i −0.309216 + 0.733208i
\(406\) −10.6395 8.32090i −0.528030 0.412959i
\(407\) 24.2890i 1.20396i
\(408\) −2.07541 1.86871i −0.102748 0.0925150i
\(409\) −25.0764 + 11.1647i −1.23995 + 0.552060i −0.918708 0.394939i \(-0.870766\pi\)
−0.321239 + 0.946998i \(0.604099\pi\)
\(410\) −3.64822 10.5156i −0.180173 0.519330i
\(411\) 4.86254 + 2.16494i 0.239851 + 0.106789i
\(412\) 0.446174 0.614105i 0.0219814 0.0302548i
\(413\) 3.82142 2.02948i 0.188040 0.0998643i
\(414\) −10.2186 + 7.42422i −0.502215 + 0.364880i
\(415\) 1.46847 + 11.7339i 0.0720844 + 0.575992i
\(416\) −0.252951 + 0.112621i −0.0124020 + 0.00552171i
\(417\) 0.117968 0.554995i 0.00577691 0.0271782i
\(418\) 4.39439 2.53710i 0.214937 0.124094i
\(419\) −5.42645 16.7009i −0.265100 0.815893i −0.991670 0.128801i \(-0.958887\pi\)
0.726571 0.687092i \(-0.241113\pi\)
\(420\) 0.603731 2.63714i 0.0294590 0.128679i
\(421\) 0.971951 2.99136i 0.0473700 0.145790i −0.924574 0.381003i \(-0.875579\pi\)
0.971944 + 0.235213i \(0.0755788\pi\)
\(422\) 2.34129 + 11.0149i 0.113972 + 0.536198i
\(423\) −23.4639 + 2.46615i −1.14085 + 0.119909i
\(424\) 1.20966 2.09520i 0.0587465 0.101752i
\(425\) −16.9573 + 25.3945i −0.822552 + 1.23182i
\(426\) −5.65648 −0.274058
\(427\) 7.46403 + 2.72083i 0.361210 + 0.131670i
\(428\) 2.00648 + 0.651946i 0.0969871 + 0.0315130i
\(429\) −0.672223 + 0.142885i −0.0324552 + 0.00689857i
\(430\) 8.82473 12.6657i 0.425566 0.610793i
\(431\) −2.28836 0.486406i −0.110227 0.0234294i 0.152468 0.988308i \(-0.451278\pi\)
−0.262695 + 0.964879i \(0.584611\pi\)
\(432\) 2.29334 1.32406i 0.110338 0.0637038i
\(433\) 18.7246 6.08398i 0.899845 0.292377i 0.177672 0.984090i \(-0.443143\pi\)
0.722173 + 0.691713i \(0.243143\pi\)
\(434\) 11.6824 18.6754i 0.560775 0.896449i
\(435\) 5.08362 1.18612i 0.243741 0.0568700i
\(436\) 9.58523 + 4.26762i 0.459049 + 0.204382i
\(437\) −1.72092 3.86526i −0.0823229 0.184900i
\(438\) 0.508655 + 1.14246i 0.0243045 + 0.0545887i
\(439\) 11.1318 + 4.95621i 0.531293 + 0.236547i 0.654807 0.755796i \(-0.272750\pi\)
−0.123514 + 0.992343i \(0.539416\pi\)
\(440\) 11.8191 2.75765i 0.563453 0.131466i
\(441\) 0.662656 + 19.5250i 0.0315550 + 0.929760i
\(442\) 1.60824 0.522550i 0.0764964 0.0248552i
\(443\) −8.84755 + 5.10814i −0.420360 + 0.242695i −0.695231 0.718786i \(-0.744698\pi\)
0.274871 + 0.961481i \(0.411365\pi\)
\(444\) −2.00169 0.425472i −0.0949959 0.0201920i
\(445\) 14.0868 20.2180i 0.667777 0.958424i
\(446\) −22.1542 + 4.70901i −1.04903 + 0.222978i
\(447\) 6.80499 + 2.21107i 0.321865 + 0.104580i
\(448\) 2.02760 1.69966i 0.0957949 0.0803015i
\(449\) 15.9390 0.752207 0.376103 0.926578i \(-0.377264\pi\)
0.376103 + 0.926578i \(0.377264\pi\)
\(450\) −8.64230 10.9561i −0.407402 0.516477i
\(451\) 13.5086 23.3975i 0.636094 1.10175i
\(452\) 4.38043 0.460402i 0.206038 0.0216555i
\(453\) 0.884136 + 4.15953i 0.0415403 + 0.195432i
\(454\) 5.83660 17.9632i 0.273925 0.843055i
\(455\) 1.20008 + 1.11498i 0.0562607 + 0.0522711i
\(456\) 0.132109 + 0.406590i 0.00618658 + 0.0190403i
\(457\) 22.0388 12.7241i 1.03093 0.595208i 0.113679 0.993518i \(-0.463736\pi\)
0.917251 + 0.398310i \(0.130403\pi\)
\(458\) 1.66063 7.81263i 0.0775960 0.365060i
\(459\) −14.7743 + 6.57793i −0.689604 + 0.307032i
\(460\) −1.25668 10.0415i −0.0585930 0.468189i
\(461\) 8.49738 6.17371i 0.395762 0.287538i −0.372050 0.928213i \(-0.621345\pi\)
0.767813 + 0.640674i \(0.221345\pi\)
\(462\) 5.79961 3.08006i 0.269822 0.143297i
\(463\) 1.53085 2.10704i 0.0711448 0.0979225i −0.771962 0.635669i \(-0.780724\pi\)
0.843106 + 0.537747i \(0.180724\pi\)
\(464\) 4.66377 + 2.07644i 0.216510 + 0.0963964i
\(465\) 2.79047 + 8.04326i 0.129405 + 0.372997i
\(466\) −3.86840 + 1.72232i −0.179200 + 0.0797850i
\(467\) 18.8023 + 16.9297i 0.870068 + 0.783413i 0.977530 0.210797i \(-0.0676057\pi\)
−0.107462 + 0.994209i \(0.534272\pi\)
\(468\) 0.772768i 0.0357212i
\(469\) −4.81990 + 34.1737i −0.222562 + 1.57800i
\(470\) 7.34543 17.4174i 0.338819 0.803403i
\(471\) 9.72656 2.06744i 0.448176 0.0952628i
\(472\) −1.21535 + 1.09431i −0.0559410 + 0.0503695i
\(473\) 37.2646 3.91667i 1.71343 0.180089i
\(474\) 2.13788 + 3.70292i 0.0981961 + 0.170081i
\(475\) 4.19176 2.06867i 0.192331 0.0949171i
\(476\) −13.4000 + 9.02888i −0.614189 + 0.413838i
\(477\) −3.96877 5.46254i −0.181717 0.250113i
\(478\) −3.11169 14.6394i −0.142326 0.669589i
\(479\) −0.882494 0.980109i −0.0403222 0.0447823i 0.722646 0.691218i \(-0.242926\pi\)
−0.762969 + 0.646436i \(0.776259\pi\)
\(480\) 0.0202255 + 1.02233i 0.000923163 + 0.0466629i
\(481\) 0.829120 0.920831i 0.0378046 0.0419863i
\(482\) 12.2776i 0.559228i
\(483\) −2.04870 5.07789i −0.0932193 0.231052i
\(484\) 14.9337 + 10.8500i 0.678806 + 0.493181i
\(485\) 1.80231 3.26938i 0.0818388 0.148455i
\(486\) −1.17274 11.1579i −0.0531965 0.506131i
\(487\) 6.95596 + 15.6233i 0.315205 + 0.707962i 0.999780 0.0209808i \(-0.00667889\pi\)
−0.684575 + 0.728942i \(0.740012\pi\)
\(488\) −2.98628 0.313870i −0.135182 0.0142082i
\(489\) −3.69190 + 2.68233i −0.166954 + 0.121299i
\(490\) −13.9560 7.08728i −0.630469 0.320171i
\(491\) −19.0939 13.8725i −0.861694 0.626057i 0.0666513 0.997776i \(-0.478768\pi\)
−0.928345 + 0.371719i \(0.878768\pi\)
\(492\) 1.69159 + 1.52312i 0.0762628 + 0.0686673i
\(493\) −27.0008 15.5889i −1.21605 0.702089i
\(494\) −0.253203 0.0538200i −0.0113922 0.00242148i
\(495\) 6.38561 33.2643i 0.287012 1.49512i
\(496\) −2.57286 + 7.91845i −0.115525 + 0.355549i
\(497\) −7.93290 + 31.7508i −0.355839 + 1.42422i
\(498\) −1.42148 1.95650i −0.0636981 0.0876729i
\(499\) −19.1628 33.1909i −0.857843 1.48583i −0.873982 0.485958i \(-0.838471\pi\)
0.0161391 0.999870i \(-0.494863\pi\)
\(500\) 11.0302 1.82606i 0.493286 0.0816640i
\(501\) 0.715733 1.23969i 0.0319766 0.0553851i
\(502\) −8.17772 + 18.3675i −0.364990 + 0.819780i
\(503\) −33.0308 10.7324i −1.47277 0.478532i −0.540827 0.841134i \(-0.681889\pi\)
−0.931944 + 0.362602i \(0.881889\pi\)
\(504\) −2.03182 7.09894i −0.0905046 0.316212i
\(505\) −28.5943 24.7401i −1.27243 1.10092i
\(506\) 16.4366 18.2546i 0.730694 0.811518i
\(507\) −5.11797 2.95486i −0.227297 0.131230i
\(508\) −0.684394 + 3.21982i −0.0303651 + 0.142856i
\(509\) 3.52546 33.5425i 0.156263 1.48675i −0.582527 0.812811i \(-0.697936\pi\)
0.738791 0.673935i \(-0.235397\pi\)
\(510\) 0.529785 6.22225i 0.0234593 0.275526i
\(511\) 7.12616 1.25293i 0.315243 0.0554265i
\(512\) −0.587785 + 0.809017i −0.0259767 + 0.0357538i
\(513\) 2.46212 + 0.258780i 0.108705 + 0.0114254i
\(514\) 0.156058 + 1.48480i 0.00688344 + 0.0654915i
\(515\) 1.69701 0.0335731i 0.0747793 0.00147941i
\(516\) −0.329989 + 3.13963i −0.0145269 + 0.138215i
\(517\) 43.6375 14.1787i 1.91917 0.623578i
\(518\) −5.19550 + 10.6391i −0.228277 + 0.467455i
\(519\) −2.21710 6.82355i −0.0973201 0.299520i
\(520\) −0.542213 0.298906i −0.0237776 0.0131079i
\(521\) 2.28855 + 2.54169i 0.100263 + 0.111353i 0.791188 0.611573i \(-0.209463\pi\)
−0.690925 + 0.722927i \(0.742796\pi\)
\(522\) 10.5882 9.53366i 0.463433 0.417277i
\(523\) −3.84944 + 8.64598i −0.168324 + 0.378062i −0.977936 0.208903i \(-0.933011\pi\)
0.809612 + 0.586965i \(0.199677\pi\)
\(524\) −16.3651 −0.714911
\(525\) 5.51609 2.48350i 0.240742 0.108389i
\(526\) −27.4670 −1.19762
\(527\) 20.6817 46.4519i 0.900909 2.02347i
\(528\) −1.84449 + 1.66078i −0.0802710 + 0.0722763i
\(529\) 1.68462 + 1.87096i 0.0732444 + 0.0813462i
\(530\) 5.36791 0.671784i 0.233167 0.0291804i
\(531\) 1.41043 + 4.34086i 0.0612075 + 0.188377i
\(532\) 2.46753 0.171331i 0.106981 0.00742813i
\(533\) −1.31082 + 0.425911i −0.0567779 + 0.0184483i
\(534\) −0.526755 + 5.01174i −0.0227949 + 0.216879i
\(535\) 1.54626 + 4.45692i 0.0668505 + 0.192690i
\(536\) −1.36350 12.9728i −0.0588943 0.560341i
\(537\) −5.89042 0.619108i −0.254190 0.0267165i
\(538\) 13.7976 18.9908i 0.594856 0.818750i
\(539\) −9.15527 36.8738i −0.394345 1.58827i
\(540\) 5.45602 + 2.30097i 0.234790 + 0.0990179i
\(541\) 1.27789 12.1583i 0.0549407 0.522726i −0.932094 0.362217i \(-0.882020\pi\)
0.987034 0.160509i \(-0.0513135\pi\)
\(542\) −2.69088 + 12.6596i −0.115583 + 0.543777i
\(543\) 6.76837 + 3.90772i 0.290459 + 0.167696i
\(544\) 4.08648 4.53850i 0.175207 0.194587i
\(545\) 5.33091 + 22.8479i 0.228351 + 0.978698i
\(546\) −0.325012 0.0812038i −0.0139092 0.00347520i
\(547\) 7.54863 + 2.45270i 0.322756 + 0.104870i 0.465914 0.884830i \(-0.345726\pi\)
−0.143158 + 0.989700i \(0.545726\pi\)
\(548\) −4.73428 + 10.6334i −0.202238 + 0.454235i
\(549\) −4.19013 + 7.25752i −0.178831 + 0.309744i
\(550\) 20.8700 + 17.3471i 0.889900 + 0.739682i
\(551\) 2.38635 + 4.13329i 0.101662 + 0.176084i
\(552\) 1.21647 + 1.67433i 0.0517764 + 0.0712640i
\(553\) 23.7833 6.80715i 1.01137 0.289469i
\(554\) 7.64136 23.5177i 0.324650 0.999171i
\(555\) −1.94351 4.14266i −0.0824974 0.175846i
\(556\) 1.21366 + 0.257971i 0.0514707 + 0.0109404i
\(557\) −30.0853 17.3698i −1.27476 0.735980i −0.298876 0.954292i \(-0.596612\pi\)
−0.975879 + 0.218311i \(0.929945\pi\)
\(558\) 17.2683 + 15.5484i 0.731025 + 0.658218i
\(559\) −1.54645 1.12356i −0.0654080 0.0475217i
\(560\) 5.76689 + 1.32023i 0.243695 + 0.0557901i
\(561\) 12.2631 8.90963i 0.517746 0.376165i
\(562\) −29.2645 3.07582i −1.23445 0.129746i
\(563\) −10.9814 24.6646i −0.462810 1.03949i −0.982691 0.185251i \(-0.940690\pi\)
0.519881 0.854239i \(-0.325976\pi\)
\(564\) 0.404083 + 3.84459i 0.0170150 + 0.161887i
\(565\) 6.73368 + 7.18737i 0.283288 + 0.302375i
\(566\) 20.0176 + 14.5436i 0.841403 + 0.611315i
\(567\) −18.7624 2.64626i −0.787946 0.111133i
\(568\) 12.3696i 0.519015i
\(569\) −1.22548 + 1.36103i −0.0513747 + 0.0570573i −0.768284 0.640109i \(-0.778889\pi\)
0.716910 + 0.697166i \(0.245556\pi\)
\(570\) −0.546486 + 0.784343i −0.0228898 + 0.0328525i
\(571\) −7.47249 8.29904i −0.312714 0.347304i 0.566214 0.824258i \(-0.308407\pi\)
−0.878928 + 0.476954i \(0.841741\pi\)
\(572\) −0.312461 1.47001i −0.0130646 0.0614643i
\(573\) −6.40057 8.80963i −0.267388 0.368028i
\(574\) 10.9219 7.35909i 0.455869 0.307163i
\(575\) 16.2044 15.7948i 0.675770 0.658691i
\(576\) 1.39544 + 2.41698i 0.0581434 + 0.100707i
\(577\) 21.5289 2.26278i 0.896261 0.0942008i 0.354815 0.934937i \(-0.384544\pi\)
0.541446 + 0.840736i \(0.317877\pi\)
\(578\) −15.0839 + 13.5816i −0.627406 + 0.564919i
\(579\) 5.46968 1.16262i 0.227312 0.0483166i
\(580\) 2.59379 + 11.1168i 0.107701 + 0.461601i
\(581\) −12.9757 + 5.23513i −0.538323 + 0.217190i
\(582\) 0.763475i 0.0316471i
\(583\) 9.75839 + 8.78650i 0.404151 + 0.363899i
\(584\) −2.49832 + 1.11232i −0.103381 + 0.0460283i
\(585\) −1.37759 + 1.04312i −0.0569562 + 0.0431278i
\(586\) 5.82566 + 2.59375i 0.240656 + 0.107147i
\(587\) −4.73747 + 6.52057i −0.195536 + 0.269133i −0.895515 0.445031i \(-0.853193\pi\)
0.699979 + 0.714163i \(0.253193\pi\)
\(588\) 3.19919 0.108577i 0.131932 0.00447764i
\(589\) −6.29723 + 4.57521i −0.259473 + 0.188518i
\(590\) −3.59132 0.689411i −0.147852 0.0283826i
\(591\) −2.35896 + 1.05028i −0.0970347 + 0.0432026i
\(592\) 0.930419 4.37728i 0.0382400 0.179905i
\(593\) −9.02376 + 5.20987i −0.370561 + 0.213944i −0.673704 0.739002i \(-0.735298\pi\)
0.303142 + 0.952945i \(0.401964\pi\)
\(594\) 4.44150 + 13.6695i 0.182237 + 0.560867i
\(595\) −34.1835 11.7001i −1.40139 0.479658i
\(596\) −4.83516 + 14.8811i −0.198056 + 0.609554i
\(597\) −1.30175 6.12423i −0.0532769 0.250648i
\(598\) −1.24627 + 0.130988i −0.0509637 + 0.00535650i
\(599\) 4.73999 8.20991i 0.193671 0.335448i −0.752793 0.658257i \(-0.771294\pi\)
0.946464 + 0.322809i \(0.104627\pi\)
\(600\) −1.79518 + 1.41605i −0.0732878 + 0.0578102i
\(601\) 13.9368 0.568494 0.284247 0.958751i \(-0.408256\pi\)
0.284247 + 0.958751i \(0.408256\pi\)
\(602\) 17.1605 + 6.25544i 0.699409 + 0.254953i
\(603\) −34.6234 11.2498i −1.40997 0.458128i
\(604\) −9.09604 + 1.93342i −0.370112 + 0.0786698i
\(605\) 0.816427 + 41.2677i 0.0331925 + 1.67777i
\(606\) 7.56372 + 1.60772i 0.307255 + 0.0653091i
\(607\) −25.6096 + 14.7857i −1.03946 + 0.600134i −0.919681 0.392666i \(-0.871553\pi\)
−0.119782 + 0.992800i \(0.538219\pi\)
\(608\) −0.889128 + 0.288895i −0.0360589 + 0.0117163i
\(609\) 2.89705 + 5.45501i 0.117394 + 0.221048i
\(610\) −3.47151 5.74721i −0.140557 0.232698i
\(611\) −2.13836 0.952059i −0.0865088 0.0385162i
\(612\) −6.93257 15.5708i −0.280233 0.629413i
\(613\) 9.81515 + 22.0452i 0.396430 + 0.890397i 0.995939 + 0.0900286i \(0.0286959\pi\)
−0.599509 + 0.800368i \(0.704637\pi\)
\(614\) 25.6353 + 11.4136i 1.03456 + 0.460614i
\(615\) −0.431807 + 5.07152i −0.0174121 + 0.204503i
\(616\) 6.73546 + 12.6826i 0.271379 + 0.510995i
\(617\) −44.0942 + 14.3271i −1.77516 + 0.576786i −0.998582 0.0532303i \(-0.983048\pi\)
−0.776582 + 0.630016i \(0.783048\pi\)
\(618\) −0.300613 + 0.173559i −0.0120924 + 0.00698157i
\(619\) −15.1768 3.22592i −0.610006 0.129661i −0.107457 0.994210i \(-0.534271\pi\)
−0.502548 + 0.864549i \(0.667604\pi\)
\(620\) −17.5889 + 6.10219i −0.706389 + 0.245070i
\(621\) 11.7228 2.49176i 0.470420 0.0999909i
\(622\) −9.55576 3.10485i −0.383151 0.124493i
\(623\) 27.3930 + 9.98545i 1.09748 + 0.400059i
\(624\) 0.126619 0.00506882
\(625\) 18.1444 + 17.1983i 0.725777 + 0.687930i
\(626\) 9.71225 16.8221i 0.388180 0.672347i
\(627\) −2.30767 + 0.242546i −0.0921596 + 0.00968637i
\(628\) 4.52107 + 21.2700i 0.180411 + 0.848765i
\(629\) −8.44541 + 25.9923i −0.336741 + 1.03638i
\(630\) 9.91238 13.2046i 0.394919 0.526083i
\(631\) 5.93898 + 18.2783i 0.236427 + 0.727647i 0.996929 + 0.0783117i \(0.0249529\pi\)
−0.760502 + 0.649336i \(0.775047\pi\)
\(632\) −8.09752 + 4.67510i −0.322102 + 0.185966i
\(633\) 1.07065 5.03702i 0.0425546 0.200204i
\(634\) 24.4990 10.9077i 0.972980 0.433198i
\(635\) −6.66369 + 3.12624i −0.264441 + 0.124061i
\(636\) −0.895045 + 0.650288i −0.0354908 + 0.0257856i
\(637\) −0.911621 + 1.71046i −0.0361197 + 0.0677709i
\(638\) −16.2868 + 22.4168i −0.644800 + 0.887490i
\(639\) −31.5374 14.0414i −1.24760 0.555468i
\(640\) −2.23563 + 0.0442290i −0.0883711 + 0.00174830i
\(641\) −38.2108 + 17.0126i −1.50924 + 0.671956i −0.983864 0.178916i \(-0.942741\pi\)
−0.525373 + 0.850872i \(0.676074\pi\)
\(642\) −0.716961 0.645554i −0.0282962 0.0254780i
\(643\) 32.8213i 1.29435i −0.762344 0.647173i \(-0.775951\pi\)
0.762344 0.647173i \(-0.224049\pi\)
\(644\) 11.1043 4.48009i 0.437571 0.176540i
\(645\) −6.04235 + 3.64978i −0.237917 + 0.143710i
\(646\) 5.58472 1.18707i 0.219728 0.0467046i
\(647\) −11.8090 + 10.6329i −0.464262 + 0.418023i −0.867780 0.496949i \(-0.834454\pi\)
0.403518 + 0.914972i \(0.367787\pi\)
\(648\) 7.12246 0.748601i 0.279797 0.0294078i
\(649\) −4.43821 7.68720i −0.174215 0.301749i
\(650\) −0.199059 1.37006i −0.00780772 0.0537383i
\(651\) −8.35397 + 5.62887i −0.327418 + 0.220613i
\(652\) −5.86569 8.07343i −0.229718 0.316180i
\(653\) −2.54724 11.9838i −0.0996814 0.468964i −0.999467 0.0326326i \(-0.989611\pi\)
0.899786 0.436331i \(-0.143722\pi\)
\(654\) −3.21052 3.56565i −0.125541 0.139428i
\(655\) −22.0904 29.1734i −0.863144 1.13990i
\(656\) −3.33074 + 3.69916i −0.130043 + 0.144428i
\(657\) 7.63238i 0.297767i
\(658\) 22.1470 + 3.12364i 0.863381 + 0.121772i
\(659\) 9.31693 + 6.76914i 0.362936 + 0.263688i 0.754276 0.656558i \(-0.227988\pi\)
−0.391340 + 0.920246i \(0.627988\pi\)
\(660\) −5.45041 1.04629i −0.212157 0.0407268i
\(661\) −1.11013 10.5622i −0.0431791 0.410821i −0.994667 0.103136i \(-0.967112\pi\)
0.951488 0.307685i \(-0.0995544\pi\)
\(662\) −0.151475 0.340218i −0.00588724 0.0132230i
\(663\) −0.769046 0.0808300i −0.0298673 0.00313918i
\(664\) 4.27847 3.10849i 0.166037 0.120633i
\(665\) 3.63623 + 4.16751i 0.141007 + 0.161609i
\(666\) −10.1041 7.34109i −0.391527 0.284461i
\(667\) 17.1700 + 15.4599i 0.664825 + 0.598611i
\(668\) 2.71094 + 1.56516i 0.104889 + 0.0605579i
\(669\) 10.1309 + 2.15339i 0.391683 + 0.0832548i
\(670\) 21.2857 19.9421i 0.822339 0.770430i
\(671\) 5.03626 15.5000i 0.194423 0.598371i
\(672\) −1.16317 + 0.332917i −0.0448703 + 0.0128426i
\(673\) 10.4550 + 14.3901i 0.403010 + 0.554696i 0.961496 0.274818i \(-0.0886175\pi\)
−0.558486 + 0.829514i \(0.688618\pi\)
\(674\) 12.9341 + 22.4025i 0.498203 + 0.862913i
\(675\) 3.26296 + 12.8322i 0.125592 + 0.493913i
\(676\) 6.46167 11.1919i 0.248526 0.430459i
\(677\) 8.30171 18.6460i 0.319061 0.716622i −0.680814 0.732457i \(-0.738374\pi\)
0.999875 + 0.0158342i \(0.00504039\pi\)
\(678\) −1.91558 0.622411i −0.0735675 0.0239035i
\(679\) 4.28551 + 1.07073i 0.164463 + 0.0410909i
\(680\) 13.6068 + 1.15853i 0.521796 + 0.0444276i
\(681\) −5.77937 + 6.41864i −0.221466 + 0.245963i
\(682\) −39.1358 22.5951i −1.49859 0.865210i
\(683\) −1.88927 + 8.88833i −0.0722911 + 0.340103i −0.999398 0.0346943i \(-0.988954\pi\)
0.927107 + 0.374797i \(0.122288\pi\)
\(684\) −0.272731 + 2.59486i −0.0104281 + 0.0992171i
\(685\) −25.3463 + 5.91384i −0.968433 + 0.225956i
\(686\) 3.87722 18.1099i 0.148033 0.691438i
\(687\) −2.14686 + 2.95490i −0.0819079 + 0.112736i
\(688\) −6.86573 0.721617i −0.261753 0.0275114i
\(689\) −0.0700223 0.666218i −0.00266764 0.0253809i
\(690\) −1.34271 + 4.42865i −0.0511161 + 0.168596i
\(691\) −4.26164 + 40.5468i −0.162120 + 1.54247i 0.546847 + 0.837232i \(0.315828\pi\)
−0.708968 + 0.705241i \(0.750839\pi\)
\(692\) 14.9217 4.84835i 0.567237 0.184307i
\(693\) 39.9813 2.77606i 1.51876 0.105454i
\(694\) 3.51694 + 10.8240i 0.133501 + 0.410875i
\(695\) 1.17839 + 2.51177i 0.0446987 + 0.0952770i
\(696\) −1.56210 1.73489i −0.0592114 0.0657609i
\(697\) 22.5913 20.3413i 0.855708 0.770483i
\(698\) −0.835039 + 1.87553i −0.0316067 + 0.0709898i
\(699\) 1.93639 0.0732410
\(700\) 5.43091 + 12.0626i 0.205269 + 0.455922i
\(701\) −44.3289 −1.67428 −0.837139 0.546990i \(-0.815773\pi\)
−0.837139 + 0.546990i \(0.815773\pi\)
\(702\) 0.298234 0.669845i 0.0112561 0.0252817i
\(703\) 3.10908 2.79942i 0.117261 0.105582i
\(704\) −3.63179 4.03351i −0.136878 0.152019i
\(705\) −6.30817 + 5.90998i −0.237579 + 0.222583i
\(706\) 9.63151 + 29.6428i 0.362487 + 1.11562i
\(707\) 19.6321 40.2017i 0.738340 1.51194i
\(708\) 0.711256 0.231101i 0.0267306 0.00868531i
\(709\) −1.31802 + 12.5401i −0.0494994 + 0.470955i 0.941493 + 0.337034i \(0.109424\pi\)
−0.990992 + 0.133921i \(0.957243\pi\)
\(710\) 22.0508 16.6971i 0.827552 0.626630i
\(711\) 2.72771 + 25.9524i 0.102297 + 0.973291i
\(712\) −10.9596 1.15191i −0.410730 0.0431695i
\(713\) −22.1484 + 30.4847i −0.829465 + 1.14166i
\(714\) 7.27728 1.27950i 0.272345 0.0478842i
\(715\) 2.19877 2.54131i 0.0822292 0.0950397i
\(716\) 1.35386 12.8811i 0.0505962 0.481390i
\(717\) −1.42295 + 6.69444i −0.0531409 + 0.250009i
\(718\) −6.48175 3.74224i −0.241897 0.139659i
\(719\) −7.85409 + 8.72285i −0.292908 + 0.325308i −0.871580 0.490253i \(-0.836904\pi\)
0.578672 + 0.815560i \(0.303571\pi\)
\(720\) −2.42502 + 5.75017i −0.0903752 + 0.214296i
\(721\) 0.552623 + 1.93080i 0.0205808 + 0.0719067i
\(722\) 17.2388 + 5.60124i 0.641563 + 0.208457i
\(723\) 2.28359 5.12903i 0.0849276 0.190751i
\(724\) −8.54538 + 14.8010i −0.317587 + 0.550076i
\(725\) −16.3164 + 19.6299i −0.605974 + 0.729038i
\(726\) −4.22059 7.31027i −0.156641 0.271310i
\(727\) −12.7296 17.5208i −0.472114 0.649809i 0.504852 0.863206i \(-0.331547\pi\)
−0.976966 + 0.213397i \(0.931547\pi\)
\(728\) 0.177576 0.710734i 0.00658141 0.0263415i
\(729\) 5.05385 15.5541i 0.187180 0.576080i
\(730\) −5.35526 2.95220i −0.198207 0.109266i
\(731\) 41.2397 + 8.76577i 1.52531 + 0.324214i
\(732\) 1.18916 + 0.686559i 0.0439525 + 0.0253760i
\(733\) −8.21310 7.39511i −0.303358 0.273145i 0.503366 0.864073i \(-0.332095\pi\)
−0.806724 + 0.590929i \(0.798761\pi\)
\(734\) −23.9860 17.4268i −0.885338 0.643236i
\(735\) 4.51199 + 5.55653i 0.166427 + 0.204956i
\(736\) −3.66141 + 2.66017i −0.134961 + 0.0980550i
\(737\) 70.4117 + 7.40057i 2.59365 + 0.272603i
\(738\) 5.65047 + 12.6912i 0.207997 + 0.467169i
\(739\) 3.10133 + 29.5072i 0.114084 + 1.08544i 0.890426 + 0.455127i \(0.150406\pi\)
−0.776342 + 0.630312i \(0.782927\pi\)
\(740\) 9.05915 4.25005i 0.333021 0.156235i
\(741\) 0.0957668 + 0.0695786i 0.00351808 + 0.00255604i
\(742\) 2.39493 + 5.93603i 0.0879205 + 0.217918i
\(743\) 11.2600i 0.413090i 0.978437 + 0.206545i \(0.0662220\pi\)
−0.978437 + 0.206545i \(0.933778\pi\)
\(744\) 2.54763 2.82943i 0.0934008 0.103732i
\(745\) −33.0548 + 11.4678i −1.21103 + 0.420148i
\(746\) −19.6677 21.8432i −0.720085 0.799736i
\(747\) −3.06868 14.4370i −0.112277 0.528222i
\(748\) 19.4835 + 26.8168i 0.712388 + 0.980518i
\(749\) −4.62910 + 3.11906i −0.169144 + 0.113968i
\(750\) −4.94757 1.28874i −0.180660 0.0470580i
\(751\) 12.9895 + 22.4985i 0.473993 + 0.820980i 0.999557 0.0297742i \(-0.00947882\pi\)
−0.525564 + 0.850754i \(0.676145\pi\)
\(752\) −8.40733 + 0.883646i −0.306584 + 0.0322232i
\(753\) 6.83258 6.15208i 0.248993 0.224194i
\(754\) 1.38267 0.293895i 0.0503538 0.0107030i
\(755\) −15.7250 13.6054i −0.572290 0.495150i
\(756\) −0.978485 + 6.93760i −0.0355871 + 0.252318i
\(757\) 17.2205i 0.625889i −0.949771 0.312944i \(-0.898685\pi\)
0.949771 0.312944i \(-0.101315\pi\)
\(758\) −6.73574 6.06489i −0.244653 0.220287i
\(759\) −10.2618 + 4.56883i −0.372479 + 0.165838i
\(760\) −1.71520 1.19505i −0.0622167 0.0433491i
\(761\) 22.6458 + 10.0826i 0.820910 + 0.365493i 0.773826 0.633398i \(-0.218340\pi\)
0.0470842 + 0.998891i \(0.485007\pi\)
\(762\) 0.884786 1.21780i 0.0320524 0.0441163i
\(763\) −24.5171 + 13.0206i −0.887580 + 0.471376i
\(764\) 19.2648 13.9967i 0.696978 0.506384i
\(765\) 18.3996 33.3767i 0.665239 1.20674i
\(766\) −8.00988 + 3.56623i −0.289409 + 0.128853i
\(767\) −0.0941485 + 0.442934i −0.00339951 + 0.0159934i
\(768\) 0.396025 0.228645i 0.0142903 0.00825053i
\(769\) −2.15172 6.62233i −0.0775932 0.238807i 0.904735 0.425976i \(-0.140069\pi\)
−0.982328 + 0.187168i \(0.940069\pi\)
\(770\) −13.5169 + 29.1267i −0.487115 + 1.04965i
\(771\) 0.210973 0.649308i 0.00759801 0.0233843i
\(772\) 2.54240 + 11.9611i 0.0915030 + 0.430488i
\(773\) −40.8771 + 4.29635i −1.47025 + 0.154529i −0.805524 0.592563i \(-0.798116\pi\)
−0.664721 + 0.747092i \(0.731450\pi\)
\(774\) −9.63350 + 16.6857i −0.346269 + 0.599756i
\(775\) −34.6206 23.1181i −1.24361 0.830428i
\(776\) −1.66956 −0.0599338
\(777\) 4.14929 3.47820i 0.148855 0.124780i
\(778\) 28.4609 + 9.24749i 1.02037 + 0.331539i
\(779\) −4.55189 + 0.967535i −0.163089 + 0.0346655i
\(780\) 0.170917 + 0.225719i 0.00611981 + 0.00808205i
\(781\) 65.6702 + 13.9586i 2.34987 + 0.499479i
\(782\) 23.9364 13.8197i 0.855966 0.494192i
\(783\) −12.8573 + 4.17759i −0.459483 + 0.149295i
\(784\) 0.237436 + 6.99597i 0.00847984 + 0.249856i
\(785\) −31.8145 + 36.7709i −1.13551 + 1.31241i
\(786\) 6.83659 + 3.04385i 0.243853 + 0.108570i
\(787\) 0.566777 + 1.27300i 0.0202034 + 0.0453776i 0.923365 0.383922i \(-0.125427\pi\)
−0.903162 + 0.429300i \(0.858760\pi\)
\(788\) −2.29674 5.15856i −0.0818179 0.183766i
\(789\) 11.4745 + 5.10877i 0.408503 + 0.181877i
\(790\) −19.2646 8.12447i −0.685404 0.289056i
\(791\) −6.18019 + 9.87959i −0.219742 + 0.351278i
\(792\) −14.4065 + 4.68095i −0.511912 + 0.166330i
\(793\) −0.720035 + 0.415712i −0.0255692 + 0.0147624i
\(794\) −4.60985 0.979854i −0.163597 0.0347737i
\(795\) −2.36743 0.717773i −0.0839639 0.0254568i
\(796\) 13.3924 2.84665i 0.474682 0.100897i
\(797\) −17.8811 5.80991i −0.633380 0.205798i −0.0253083 0.999680i \(-0.508057\pi\)
−0.608072 + 0.793882i \(0.708057\pi\)
\(798\) −1.06269 0.387379i −0.0376189 0.0137131i
\(799\) 51.6277 1.82646
\(800\) −3.09662 3.92568i −0.109482 0.138794i
\(801\) −15.3778 + 26.6351i −0.543348 + 0.941106i
\(802\) −28.4119 + 2.98621i −1.00326 + 0.105447i
\(803\) −3.08608 14.5188i −0.108905 0.512359i
\(804\) −1.84330 + 5.67309i −0.0650081 + 0.200074i
\(805\) 22.9757 + 13.7478i 0.809786 + 0.484546i
\(806\) 0.712399 + 2.19254i 0.0250932 + 0.0772289i
\(807\) −9.29624 + 5.36719i −0.327243 + 0.188934i
\(808\) −3.51575 + 16.5403i −0.123684 + 0.581885i
\(809\) 18.5475 8.25787i 0.652094 0.290331i −0.0539024 0.998546i \(-0.517166\pi\)
0.705997 + 0.708215i \(0.250499\pi\)
\(810\) 10.9488 + 11.6865i 0.384701 + 0.410621i
\(811\) 19.2700 14.0005i 0.676662 0.491624i −0.195587 0.980686i \(-0.562661\pi\)
0.872249 + 0.489063i \(0.162661\pi\)
\(812\) −11.9290 + 6.33526i −0.418626 + 0.222324i
\(813\) 3.47878 4.78813i 0.122006 0.167927i
\(814\) 22.1891 + 9.87922i 0.777727 + 0.346267i
\(815\) 6.47441 21.3545i 0.226789 0.748016i
\(816\) −2.55130 + 1.13591i −0.0893133 + 0.0397649i
\(817\) −4.79627 4.31858i −0.167800 0.151088i
\(818\) 27.4495i 0.959749i
\(819\) −1.61051 1.25954i −0.0562758 0.0440119i
\(820\) −11.0904 0.944273i −0.387293 0.0329755i
\(821\) −43.6654 + 9.28138i −1.52393 + 0.323922i −0.892335 0.451373i \(-0.850934\pi\)
−0.631599 + 0.775295i \(0.717601\pi\)
\(822\) 3.95555 3.56159i 0.137966 0.124225i
\(823\) 22.7009 2.38596i 0.791305 0.0831695i 0.299752 0.954017i \(-0.403096\pi\)
0.491553 + 0.870848i \(0.336429\pi\)
\(824\) −0.379538 0.657379i −0.0132218 0.0229009i
\(825\) −5.49206 11.1286i −0.191209 0.387448i
\(826\) −0.299713 4.31651i −0.0104283 0.150190i
\(827\) 8.51799 + 11.7240i 0.296200 + 0.407684i 0.931016 0.364980i \(-0.118924\pi\)
−0.634816 + 0.772663i \(0.718924\pi\)
\(828\) 2.62610 + 12.3548i 0.0912632 + 0.429360i
\(829\) 26.0825 + 28.9675i 0.905882 + 1.00608i 0.999945 + 0.0105177i \(0.00334795\pi\)
−0.0940626 + 0.995566i \(0.529985\pi\)
\(830\) 11.3167 + 3.43108i 0.392808 + 0.119094i
\(831\) −7.56644 + 8.40338i −0.262477 + 0.291510i
\(832\) 0.276890i 0.00959943i
\(833\) 3.02392 42.6430i 0.104773 1.47749i
\(834\) −0.459032 0.333506i −0.0158950 0.0115484i
\(835\) 0.869208 + 6.94543i 0.0300802 + 0.240357i
\(836\) −0.530399 5.04641i −0.0183442 0.174534i
\(837\) −8.96777 20.1419i −0.309971 0.696207i
\(838\) −17.4642 1.83556i −0.603290 0.0634083i
\(839\) 20.7085 15.0456i 0.714938 0.519433i −0.169825 0.985474i \(-0.554320\pi\)
0.884763 + 0.466042i \(0.154320\pi\)
\(840\) −2.16359 1.62416i −0.0746510 0.0560388i
\(841\) 2.37662 + 1.72672i 0.0819526 + 0.0595420i
\(842\) −2.33741 2.10462i −0.0805526 0.0725299i
\(843\) 11.6533 + 6.72805i 0.401362 + 0.231726i
\(844\) 11.0149 + 2.34129i 0.379149 + 0.0805906i
\(845\) 28.6738 3.58847i 0.986408 0.123447i
\(846\) −7.29068 + 22.4384i −0.250659 + 0.771448i
\(847\) −46.9529 + 13.4386i −1.61332 + 0.461756i
\(848\) −1.42205 1.95728i −0.0488333 0.0672132i
\(849\) −5.65740 9.79890i −0.194161 0.336297i
\(850\) 16.3019 + 25.8202i 0.559150 + 0.885625i
\(851\) 10.1265 17.5396i 0.347132 0.601251i
\(852\) −2.30070 + 5.16745i −0.0788207 + 0.177034i
\(853\) −14.5009 4.71164i −0.496502 0.161323i 0.0500527 0.998747i \(-0.484061\pi\)
−0.546555 + 0.837423i \(0.684061\pi\)
\(854\) 5.52149 5.71207i 0.188942 0.195463i
\(855\) −4.99392 + 3.01649i −0.170789 + 0.103162i
\(856\) 1.41169 1.56784i 0.0482507 0.0535878i
\(857\) −28.5069 16.4585i −0.973778 0.562211i −0.0733922 0.997303i \(-0.523382\pi\)
−0.900386 + 0.435092i \(0.856716\pi\)
\(858\) −0.142885 + 0.672223i −0.00487803 + 0.0229493i
\(859\) −3.26701 + 31.0835i −0.111469 + 1.06056i 0.785621 + 0.618708i \(0.212344\pi\)
−0.897090 + 0.441848i \(0.854323\pi\)
\(860\) −7.98132 13.2134i −0.272161 0.450572i
\(861\) −5.93144 + 1.04287i −0.202143 + 0.0355410i
\(862\) −1.37512 + 1.89268i −0.0468366 + 0.0644651i
\(863\) −18.5765 1.95247i −0.632353 0.0664629i −0.217071 0.976156i \(-0.569650\pi\)
−0.415282 + 0.909693i \(0.636317\pi\)
\(864\) −0.276804 2.63361i −0.00941705 0.0895972i
\(865\) 28.7851 + 20.0558i 0.978722 + 0.681919i
\(866\) 2.05797 19.5803i 0.0699328 0.665366i
\(867\) 8.82750 2.86823i 0.299798 0.0974101i
\(868\) −12.3092 18.2684i −0.417800 0.620070i
\(869\) −15.6824 48.2656i −0.531990 1.63730i
\(870\) 0.984123 5.12656i 0.0333649 0.173807i
\(871\) −2.41679 2.68412i −0.0818897 0.0909478i
\(872\) 7.79733 7.02075i 0.264051 0.237753i
\(873\) −1.89521 + 4.25672i −0.0641433 + 0.144068i
\(874\) −4.23105 −0.143117
\(875\) −14.1726 + 25.9642i −0.479121 + 0.877749i
\(876\) 1.25058 0.0422530
\(877\) 10.1619 22.8240i 0.343143 0.770711i −0.656720 0.754134i \(-0.728057\pi\)
0.999863 0.0165763i \(-0.00527665\pi\)
\(878\) 9.05544 8.15356i 0.305606 0.275169i
\(879\) −1.95127 2.16711i −0.0658149 0.0730948i
\(880\) 2.28802 11.9189i 0.0771292 0.401786i
\(881\) 3.68757 + 11.3492i 0.124237 + 0.382364i 0.993761 0.111527i \(-0.0355742\pi\)
−0.869524 + 0.493891i \(0.835574\pi\)
\(882\) 18.1065 + 7.33615i 0.609676 + 0.247021i
\(883\) −13.5422 + 4.40012i −0.455731 + 0.148076i −0.527882 0.849318i \(-0.677014\pi\)
0.0721512 + 0.997394i \(0.477014\pi\)
\(884\) 0.176759 1.68175i 0.00594503 0.0565632i
\(885\) 1.37207 + 0.955980i 0.0461215 + 0.0321349i
\(886\) 1.06789 + 10.1603i 0.0358765 + 0.341342i
\(887\) −10.0833 1.05980i −0.338565 0.0355846i −0.0662795 0.997801i \(-0.521113\pi\)
−0.272286 + 0.962216i \(0.587780\pi\)
\(888\) −1.20285 + 1.65558i −0.0403649 + 0.0555575i
\(889\) −5.59487 6.67435i −0.187646 0.223850i
\(890\) −12.7404 21.0923i −0.427061 0.707015i
\(891\) −4.06313 + 38.6581i −0.136120 + 1.29509i
\(892\) −4.70901 + 22.1542i −0.157669 + 0.741777i
\(893\) −6.84435 3.95159i −0.229038 0.132235i
\(894\) 4.78775 5.31734i 0.160126 0.177838i
\(895\) 24.7903 14.9741i 0.828647 0.500530i
\(896\) −0.728021 2.54362i −0.0243215 0.0849763i
\(897\) 0.544999 + 0.177081i 0.0181970 + 0.00591256i
\(898\) 6.48297 14.5610i 0.216339 0.485906i
\(899\) 21.2525 36.8105i 0.708812 1.22770i
\(900\) −13.5241 + 3.43888i −0.450802 + 0.114629i
\(901\) 7.38761 + 12.7957i 0.246117 + 0.426287i
\(902\) −15.8803 21.8573i −0.528755 0.727769i
\(903\) −6.00540 5.80504i −0.199847 0.193180i
\(904\) 1.36108 4.18898i 0.0452690 0.139324i
\(905\) −37.9203 + 4.74566i −1.26051 + 0.157751i
\(906\) 4.15953 + 0.884136i 0.138191 + 0.0293734i
\(907\) −1.82336 1.05271i −0.0605435 0.0349548i 0.469423 0.882974i \(-0.344462\pi\)
−0.529966 + 0.848019i \(0.677795\pi\)
\(908\) −14.0362 12.6383i −0.465809 0.419416i
\(909\) 38.1802 + 27.7395i 1.26636 + 0.920063i
\(910\) 1.50670 0.642827i 0.0499467 0.0213095i
\(911\) 7.39004 5.36918i 0.244843 0.177889i −0.458595 0.888645i \(-0.651647\pi\)
0.703438 + 0.710756i \(0.251647\pi\)
\(912\) 0.425172 + 0.0446874i 0.0140789 + 0.00147975i
\(913\) 11.6749 + 26.2223i 0.386383 + 0.867831i
\(914\) −2.66006 25.3088i −0.0879869 0.837140i
\(915\) 0.381279 + 3.04662i 0.0126047 + 0.100718i
\(916\) −6.46176 4.69474i −0.213502 0.155119i
\(917\) 26.6736 34.1061i 0.880838 1.12628i
\(918\) 16.1725i 0.533771i
\(919\) 29.2941 32.5344i 0.966324 1.07321i −0.0309575 0.999521i \(-0.509856\pi\)
0.997281 0.0736904i \(-0.0234777\pi\)
\(920\) −9.68455 2.93623i −0.319290 0.0968046i
\(921\) −8.58641 9.53617i −0.282932 0.314228i
\(922\) −2.18377 10.2738i −0.0719185 0.338350i
\(923\) −2.01317 2.77089i −0.0662642 0.0912049i
\(924\) −0.454862 6.55099i −0.0149638 0.215512i
\(925\) 19.8049 + 10.4125i 0.651183 + 0.342361i
\(926\) −1.30222 2.25552i −0.0427937 0.0741208i
\(927\) −2.10689 + 0.221443i −0.0691993 + 0.00727314i
\(928\) 3.79385 3.41600i 0.124539 0.112136i
\(929\) −15.5407 + 3.30327i −0.509873 + 0.108377i −0.455663 0.890153i \(-0.650598\pi\)
−0.0542108 + 0.998530i \(0.517264\pi\)
\(930\) 8.48287 + 0.722261i 0.278164 + 0.0236839i
\(931\) −3.66479 + 5.42179i −0.120109 + 0.177692i
\(932\) 4.23449i 0.138705i
\(933\) 3.41448 + 3.07441i 0.111785 + 0.100652i
\(934\) 23.1136 10.2909i 0.756301 0.336727i
\(935\) −21.5055 + 70.9313i −0.703303 + 2.31970i
\(936\) 0.705958 + 0.314313i 0.0230750 + 0.0102736i
\(937\) 13.4302 18.4851i 0.438746 0.603883i −0.531187 0.847255i \(-0.678254\pi\)
0.969933 + 0.243372i \(0.0782537\pi\)
\(938\) 29.2588 + 18.3029i 0.955335 + 0.597611i
\(939\) −7.18621 + 5.22109i −0.234513 + 0.170384i
\(940\) −12.9239 13.7947i −0.421531 0.449932i
\(941\) 41.1183 18.3070i 1.34042 0.596792i 0.393813 0.919190i \(-0.371156\pi\)
0.946604 + 0.322398i \(0.104489\pi\)
\(942\) 2.06744 9.72656i 0.0673610 0.316909i
\(943\) −19.5097 + 11.2639i −0.635323 + 0.366804i
\(944\) 0.505371 + 1.55537i 0.0164484 + 0.0506230i
\(945\) −13.6882 + 7.62042i −0.445278 + 0.247892i
\(946\) 11.5788 35.6360i 0.376460 1.15862i
\(947\) 2.63364 + 12.3903i 0.0855817 + 0.402630i 0.999998 0.00214549i \(-0.000682932\pi\)
−0.914416 + 0.404776i \(0.867350\pi\)
\(948\) 4.25234 0.446939i 0.138110 0.0145159i
\(949\) −0.378612 + 0.655776i −0.0122903 + 0.0212874i
\(950\) −0.184882 4.67077i −0.00599837 0.151540i
\(951\) −12.2634 −0.397668
\(952\) 2.79801 + 15.9139i 0.0906839 + 0.515773i
\(953\) 45.6499 + 14.8325i 1.47874 + 0.480473i 0.933737 0.357959i \(-0.116527\pi\)
0.545007 + 0.838432i \(0.316527\pi\)
\(954\) −6.60452 + 1.40383i −0.213829 + 0.0454508i
\(955\) 50.9562 + 15.4493i 1.64890 + 0.499926i
\(956\) −14.6394 3.11169i −0.473471 0.100639i
\(957\) 10.9734 6.33547i 0.354718 0.204797i
\(958\) −1.25432 + 0.407552i −0.0405251 + 0.0131674i
\(959\) −14.4444 27.1981i −0.466433 0.878271i
\(960\) 0.942174 + 0.397343i 0.0304085 + 0.0128242i
\(961\) 35.0084 + 15.5868i 1.12930 + 0.502799i
\(962\) −0.503988 1.13197i −0.0162492 0.0364963i
\(963\) −2.39489 5.37900i −0.0771741 0.173336i
\(964\) 11.2161 + 4.99374i 0.361247 + 0.160838i
\(965\) −17.8907 + 20.6779i −0.575922 + 0.665645i
\(966\) −5.47217 0.193779i −0.176064 0.00623473i
\(967\) −18.6444 + 6.05794i −0.599564 + 0.194810i −0.593046 0.805169i \(-0.702075\pi\)
−0.00651810 + 0.999979i \(0.502075\pi\)
\(968\) 15.9861 9.22955i 0.513811 0.296649i
\(969\) −2.55384 0.542835i −0.0820412 0.0174384i
\(970\) −2.25366 2.97627i −0.0723608 0.0955624i
\(971\) 32.6012 6.92961i 1.04622 0.222382i 0.347431 0.937706i \(-0.387054\pi\)
0.698793 + 0.715324i \(0.253721\pi\)
\(972\) −10.6702 3.46696i −0.342247 0.111203i
\(973\) −2.51579 + 2.10890i −0.0806525 + 0.0676081i
\(974\) 17.1019 0.547980
\(975\) −0.171670 + 0.609376i −0.00549783 + 0.0195157i
\(976\) −1.50136 + 2.60044i −0.0480575 + 0.0832380i
\(977\) −39.1595 + 4.11583i −1.25282 + 0.131677i −0.707600 0.706613i \(-0.750222\pi\)
−0.545224 + 0.838290i \(0.683555\pi\)
\(978\) 0.948794 + 4.46372i 0.0303391 + 0.142734i
\(979\) 18.4831 56.8851i 0.590722 1.81805i
\(980\) −12.1510 + 9.86680i −0.388149 + 0.315183i
\(981\) −9.04892 27.8497i −0.288910 0.889173i
\(982\) −20.4393 + 11.8007i −0.652245 + 0.376574i
\(983\) 7.80570 36.7229i 0.248963 1.17128i −0.658972 0.752168i \(-0.729008\pi\)
0.907935 0.419112i \(-0.137658\pi\)
\(984\) 2.07947 0.925838i 0.0662910 0.0295146i
\(985\) 6.09573 11.0576i 0.194226 0.352325i
\(986\) −25.2234 + 18.3259i −0.803276 + 0.583614i
\(987\) −8.67106 5.42419i −0.276003 0.172654i
\(988\) −0.152154 + 0.209422i −0.00484067 + 0.00666261i
\(989\) −28.5425 12.7080i −0.907600 0.404090i
\(990\) −27.7912 19.3634i −0.883263 0.615408i
\(991\) 36.0385 16.0454i 1.14480 0.509698i 0.255404 0.966834i \(-0.417791\pi\)
0.889397 + 0.457136i \(0.151125\pi\)
\(992\) 6.18739 + 5.57115i 0.196450 + 0.176884i
\(993\) 0.170302i 0.00540437i
\(994\) 25.7792 + 20.1613i 0.817666 + 0.639476i
\(995\) 23.1524 + 20.0317i 0.733982 + 0.635047i
\(996\) −2.36552 + 0.502807i −0.0749544 + 0.0159321i
\(997\) 19.0567 17.1587i 0.603530 0.543421i −0.309716 0.950829i \(-0.600234\pi\)
0.913246 + 0.407408i \(0.133567\pi\)
\(998\) −38.1156 + 4.00611i −1.20653 + 0.126811i
\(999\) 5.92525 + 10.2628i 0.187467 + 0.324702i
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 350.2.u.a.39.15 yes 160
7.2 even 3 inner 350.2.u.a.289.5 yes 160
25.9 even 10 inner 350.2.u.a.109.5 yes 160
175.9 even 30 inner 350.2.u.a.9.15 160
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
350.2.u.a.9.15 160 175.9 even 30 inner
350.2.u.a.39.15 yes 160 1.1 even 1 trivial
350.2.u.a.109.5 yes 160 25.9 even 10 inner
350.2.u.a.289.5 yes 160 7.2 even 3 inner