Properties

Label 320.2.bd.a.43.16
Level $320$
Weight $2$
Character 320.43
Analytic conductor $2.555$
Analytic rank $0$
Dimension $368$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [320,2,Mod(43,320)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(320, base_ring=CyclotomicField(16))
 
chi = DirichletCharacter(H, H._module([8, 13, 12]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("320.43");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 320 = 2^{6} \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 320.bd (of order \(16\), 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: \(2.55521286468\)
Analytic rank: \(0\)
Dimension: \(368\)
Relative dimension: \(46\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 43.16
Character \(\chi\) \(=\) 320.43
Dual form 320.2.bd.a.67.16

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.759115 + 1.19321i) q^{2} +(0.0705545 + 0.0471430i) q^{3} +(-0.847488 - 1.81156i) q^{4} +(2.23184 + 0.137441i) q^{5} +(-0.109810 + 0.0483992i) q^{6} +(-1.17225 - 2.83007i) q^{7} +(2.80491 + 0.363957i) q^{8} +(-1.14529 - 2.76499i) q^{9} +O(q^{10})\) \(q+(-0.759115 + 1.19321i) q^{2} +(0.0705545 + 0.0471430i) q^{3} +(-0.847488 - 1.81156i) q^{4} +(2.23184 + 0.137441i) q^{5} +(-0.109810 + 0.0483992i) q^{6} +(-1.17225 - 2.83007i) q^{7} +(2.80491 + 0.363957i) q^{8} +(-1.14529 - 2.76499i) q^{9} +(-1.85822 + 2.55872i) q^{10} +(-0.181641 + 0.913170i) q^{11} +(0.0256085 - 0.167767i) q^{12} +(-0.909046 - 4.57008i) q^{13} +(4.26673 + 0.749607i) q^{14} +(0.150987 + 0.114913i) q^{15} +(-2.56353 + 3.07056i) q^{16} -6.66506i q^{17} +(4.16861 + 0.732369i) q^{18} +(-2.23711 + 3.34807i) q^{19} +(-1.64248 - 4.15960i) q^{20} +(0.0507103 - 0.254938i) q^{21} +(-0.951715 - 0.909936i) q^{22} +(7.09889 + 2.94045i) q^{23} +(0.180741 + 0.157911i) q^{24} +(4.96222 + 0.613490i) q^{25} +(6.14313 + 2.38454i) q^{26} +(0.0992074 - 0.498749i) q^{27} +(-4.13338 + 4.52206i) q^{28} +(0.632918 + 3.18189i) q^{29} +(-0.251731 + 0.0929269i) q^{30} -2.51883 q^{31} +(-1.71780 - 5.38973i) q^{32} +(-0.0558652 + 0.0558652i) q^{33} +(7.95280 + 5.05955i) q^{34} +(-2.22731 - 6.47737i) q^{35} +(-4.03833 + 4.41807i) q^{36} +(7.84249 + 1.55997i) q^{37} +(-2.29672 - 5.21091i) q^{38} +(0.151310 - 0.365295i) q^{39} +(6.21009 + 1.19780i) q^{40} +(1.62845 + 3.93143i) q^{41} +(0.265699 + 0.254035i) q^{42} +(1.04836 + 1.56898i) q^{43} +(1.80820 - 0.444847i) q^{44} +(-2.17609 - 6.32842i) q^{45} +(-8.89744 + 6.23830i) q^{46} -10.1308 q^{47} +(-0.325624 + 0.0957893i) q^{48} +(-1.68536 + 1.68536i) q^{49} +(-4.49892 + 5.45525i) q^{50} +(0.314211 - 0.470251i) q^{51} +(-7.50859 + 5.51989i) q^{52} +(1.89310 + 2.83322i) q^{53} +(0.519801 + 0.496983i) q^{54} +(-0.530900 + 2.01308i) q^{55} +(-2.25804 - 8.36474i) q^{56} +(-0.315676 + 0.130757i) q^{57} +(-4.27711 - 1.66022i) q^{58} +(7.27048 - 4.85798i) q^{59} +(0.0802121 - 0.370910i) q^{60} +(0.654517 + 3.29048i) q^{61} +(1.91208 - 3.00548i) q^{62} +(-6.48252 + 6.48252i) q^{63} +(7.73507 + 2.04173i) q^{64} +(-1.40073 - 10.3246i) q^{65} +(-0.0242506 - 0.109067i) q^{66} +(1.10618 - 1.65552i) q^{67} +(-12.0742 + 5.64856i) q^{68} +(0.362237 + 0.542125i) q^{69} +(9.41964 + 2.25943i) q^{70} +(-2.19150 + 5.29075i) q^{71} +(-2.20612 - 8.17238i) q^{72} +(-11.0130 - 4.56175i) q^{73} +(-7.81472 + 8.17353i) q^{74} +(0.321185 + 0.277219i) q^{75} +(7.96117 + 1.21522i) q^{76} +(2.79726 - 0.556410i) q^{77} +(0.321011 + 0.457846i) q^{78} +(-3.14584 - 3.14584i) q^{79} +(-6.14340 + 6.50066i) q^{80} +(-6.31817 + 6.31817i) q^{81} +(-5.92719 - 1.04133i) q^{82} +(-2.81326 - 14.1432i) q^{83} +(-0.504812 + 0.124192i) q^{84} +(0.916050 - 14.8754i) q^{85} +(-2.66794 + 0.0598728i) q^{86} +(-0.105349 + 0.254335i) q^{87} +(-0.841841 + 2.49525i) q^{88} +(-7.06986 - 2.92843i) q^{89} +(9.20302 + 2.20747i) q^{90} +(-11.8680 + 7.92995i) q^{91} +(-0.689399 - 15.3521i) q^{92} +(-0.177715 - 0.118745i) q^{93} +(7.69043 - 12.0881i) q^{94} +(-5.45303 + 7.16489i) q^{95} +(0.132890 - 0.461252i) q^{96} +(4.77934 + 4.77934i) q^{97} +(-0.731602 - 3.29037i) q^{98} +(2.73293 - 0.543614i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 368 q - 8 q^{2} - 8 q^{3} - 8 q^{5} - 16 q^{6} - 8 q^{7} - 8 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 368 q - 8 q^{2} - 8 q^{3} - 8 q^{5} - 16 q^{6} - 8 q^{7} - 8 q^{8} - 8 q^{10} - 16 q^{11} + 24 q^{12} - 8 q^{13} + 32 q^{14} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 8 q^{20} - 16 q^{21} - 40 q^{22} - 8 q^{23} - 16 q^{24} - 8 q^{25} - 16 q^{26} - 8 q^{27} - 8 q^{28} - 72 q^{30} - 32 q^{31} - 8 q^{32} + 32 q^{34} - 8 q^{35} - 16 q^{36} - 8 q^{37} - 64 q^{38} - 112 q^{40} - 16 q^{41} - 8 q^{42} - 8 q^{43} - 32 q^{45} - 16 q^{46} - 16 q^{47} + 96 q^{48} + 96 q^{50} - 48 q^{51} - 8 q^{52} - 8 q^{53} - 8 q^{55} + 80 q^{56} - 8 q^{57} - 72 q^{58} - 64 q^{60} - 16 q^{61} - 24 q^{62} - 16 q^{65} + 80 q^{66} - 8 q^{67} + 80 q^{68} - 64 q^{69} - 8 q^{70} - 80 q^{71} - 128 q^{72} - 8 q^{73} - 8 q^{75} + 48 q^{76} - 8 q^{77} - 160 q^{78} + 32 q^{79} - 8 q^{80} - 16 q^{81} - 8 q^{82} - 8 q^{83} + 32 q^{85} - 16 q^{86} - 120 q^{87} + 80 q^{88} - 8 q^{90} - 16 q^{91} - 232 q^{92} - 32 q^{93} - 32 q^{94} - 16 q^{95} - 16 q^{96} - 48 q^{98} - 128 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/320\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(257\) \(261\)
\(\chi(n)\) \(-1\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{13}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.759115 + 1.19321i −0.536776 + 0.843725i
\(3\) 0.0705545 + 0.0471430i 0.0407347 + 0.0272180i 0.575771 0.817611i \(-0.304702\pi\)
−0.535036 + 0.844829i \(0.679702\pi\)
\(4\) −0.847488 1.81156i −0.423744 0.905782i
\(5\) 2.23184 + 0.137441i 0.998109 + 0.0614653i
\(6\) −0.109810 + 0.0483992i −0.0448299 + 0.0197589i
\(7\) −1.17225 2.83007i −0.443070 1.06967i −0.974866 0.222793i \(-0.928483\pi\)
0.531796 0.846872i \(-0.321517\pi\)
\(8\) 2.80491 + 0.363957i 0.991686 + 0.128678i
\(9\) −1.14529 2.76499i −0.381765 0.921662i
\(10\) −1.85822 + 2.55872i −0.587620 + 0.809137i
\(11\) −0.181641 + 0.913170i −0.0547668 + 0.275331i −0.998459 0.0554934i \(-0.982327\pi\)
0.943692 + 0.330824i \(0.107327\pi\)
\(12\) 0.0256085 0.167767i 0.00739254 0.0484302i
\(13\) −0.909046 4.57008i −0.252124 1.26751i −0.874589 0.484865i \(-0.838869\pi\)
0.622465 0.782648i \(-0.286131\pi\)
\(14\) 4.26673 + 0.749607i 1.14033 + 0.200341i
\(15\) 0.150987 + 0.114913i 0.0389847 + 0.0296703i
\(16\) −2.56353 + 3.07056i −0.640882 + 0.767639i
\(17\) 6.66506i 1.61652i −0.588829 0.808258i \(-0.700411\pi\)
0.588829 0.808258i \(-0.299589\pi\)
\(18\) 4.16861 + 0.732369i 0.982552 + 0.172621i
\(19\) −2.23711 + 3.34807i −0.513228 + 0.768100i −0.994074 0.108705i \(-0.965330\pi\)
0.480846 + 0.876805i \(0.340330\pi\)
\(20\) −1.64248 4.15960i −0.367269 0.930115i
\(21\) 0.0507103 0.254938i 0.0110659 0.0556320i
\(22\) −0.951715 0.909936i −0.202906 0.193999i
\(23\) 7.09889 + 2.94045i 1.48022 + 0.613127i 0.969163 0.246420i \(-0.0792542\pi\)
0.511057 + 0.859547i \(0.329254\pi\)
\(24\) 0.180741 + 0.157911i 0.0368937 + 0.0322334i
\(25\) 4.96222 + 0.613490i 0.992444 + 0.122698i
\(26\) 6.14313 + 2.38454i 1.20477 + 0.467647i
\(27\) 0.0992074 0.498749i 0.0190925 0.0959843i
\(28\) −4.13338 + 4.52206i −0.781135 + 0.854589i
\(29\) 0.632918 + 3.18189i 0.117530 + 0.590862i 0.993998 + 0.109402i \(0.0348935\pi\)
−0.876468 + 0.481461i \(0.840106\pi\)
\(30\) −0.251731 + 0.0929269i −0.0459596 + 0.0169660i
\(31\) −2.51883 −0.452395 −0.226197 0.974082i \(-0.572629\pi\)
−0.226197 + 0.974082i \(0.572629\pi\)
\(32\) −1.71780 5.38973i −0.303667 0.952778i
\(33\) −0.0558652 + 0.0558652i −0.00972488 + 0.00972488i
\(34\) 7.95280 + 5.05955i 1.36389 + 0.867706i
\(35\) −2.22731 6.47737i −0.376485 1.09488i
\(36\) −4.03833 + 4.41807i −0.673054 + 0.736345i
\(37\) 7.84249 + 1.55997i 1.28930 + 0.256457i 0.791678 0.610938i \(-0.209208\pi\)
0.497620 + 0.867395i \(0.334208\pi\)
\(38\) −2.29672 5.21091i −0.372577 0.845321i
\(39\) 0.151310 0.365295i 0.0242290 0.0584941i
\(40\) 6.21009 + 1.19780i 0.981902 + 0.189389i
\(41\) 1.62845 + 3.93143i 0.254321 + 0.613986i 0.998544 0.0539460i \(-0.0171799\pi\)
−0.744223 + 0.667932i \(0.767180\pi\)
\(42\) 0.265699 + 0.254035i 0.0409982 + 0.0391984i
\(43\) 1.04836 + 1.56898i 0.159873 + 0.239267i 0.902754 0.430156i \(-0.141542\pi\)
−0.742882 + 0.669423i \(0.766542\pi\)
\(44\) 1.80820 0.444847i 0.272597 0.0670632i
\(45\) −2.17609 6.32842i −0.324393 0.943385i
\(46\) −8.89744 + 6.23830i −1.31186 + 0.919787i
\(47\) −10.1308 −1.47773 −0.738863 0.673856i \(-0.764637\pi\)
−0.738863 + 0.673856i \(0.764637\pi\)
\(48\) −0.325624 + 0.0957893i −0.0469998 + 0.0138260i
\(49\) −1.68536 + 1.68536i −0.240766 + 0.240766i
\(50\) −4.49892 + 5.45525i −0.636243 + 0.771489i
\(51\) 0.314211 0.470251i 0.0439984 0.0658482i
\(52\) −7.50859 + 5.51989i −1.04125 + 0.765470i
\(53\) 1.89310 + 2.83322i 0.260037 + 0.389173i 0.938398 0.345555i \(-0.112309\pi\)
−0.678361 + 0.734729i \(0.737309\pi\)
\(54\) 0.519801 + 0.496983i 0.0707360 + 0.0676308i
\(55\) −0.530900 + 2.01308i −0.0715865 + 0.271444i
\(56\) −2.25804 8.36474i −0.301744 1.11779i
\(57\) −0.315676 + 0.130757i −0.0418124 + 0.0173192i
\(58\) −4.27711 1.66022i −0.561613 0.217998i
\(59\) 7.27048 4.85798i 0.946536 0.632455i 0.0164767 0.999864i \(-0.494755\pi\)
0.930059 + 0.367409i \(0.119755\pi\)
\(60\) 0.0802121 0.370910i 0.0103553 0.0478843i
\(61\) 0.654517 + 3.29048i 0.0838023 + 0.421302i 0.999798 + 0.0201137i \(0.00640283\pi\)
−0.915995 + 0.401189i \(0.868597\pi\)
\(62\) 1.91208 3.00548i 0.242834 0.381697i
\(63\) −6.48252 + 6.48252i −0.816721 + 0.816721i
\(64\) 7.73507 + 2.04173i 0.966884 + 0.255217i
\(65\) −1.40073 10.3246i −0.173739 1.28061i
\(66\) −0.0242506 0.109067i −0.00298505 0.0134252i
\(67\) 1.10618 1.65552i 0.135141 0.202253i −0.757726 0.652573i \(-0.773690\pi\)
0.892868 + 0.450319i \(0.148690\pi\)
\(68\) −12.0742 + 5.64856i −1.46421 + 0.684989i
\(69\) 0.362237 + 0.542125i 0.0436082 + 0.0652642i
\(70\) 9.41964 + 2.25943i 1.12586 + 0.270053i
\(71\) −2.19150 + 5.29075i −0.260083 + 0.627896i −0.998943 0.0459627i \(-0.985364\pi\)
0.738860 + 0.673859i \(0.235364\pi\)
\(72\) −2.20612 8.17238i −0.259993 0.963125i
\(73\) −11.0130 4.56175i −1.28898 0.533913i −0.370298 0.928913i \(-0.620745\pi\)
−0.918681 + 0.395000i \(0.870745\pi\)
\(74\) −7.81472 + 8.17353i −0.908443 + 0.950153i
\(75\) 0.321185 + 0.277219i 0.0370873 + 0.0320105i
\(76\) 7.96117 + 1.21522i 0.913208 + 0.139395i
\(77\) 2.79726 0.556410i 0.318778 0.0634088i
\(78\) 0.321011 + 0.457846i 0.0363474 + 0.0518408i
\(79\) −3.14584 3.14584i −0.353935 0.353935i 0.507637 0.861571i \(-0.330519\pi\)
−0.861571 + 0.507637i \(0.830519\pi\)
\(80\) −6.14340 + 6.50066i −0.686853 + 0.726796i
\(81\) −6.31817 + 6.31817i −0.702019 + 0.702019i
\(82\) −5.92719 1.04133i −0.654548 0.114995i
\(83\) −2.81326 14.1432i −0.308795 1.55242i −0.753930 0.656955i \(-0.771844\pi\)
0.445135 0.895464i \(-0.353156\pi\)
\(84\) −0.504812 + 0.124192i −0.0550795 + 0.0135504i
\(85\) 0.916050 14.8754i 0.0993596 1.61346i
\(86\) −2.66794 + 0.0598728i −0.287691 + 0.00645625i
\(87\) −0.105349 + 0.254335i −0.0112946 + 0.0272675i
\(88\) −0.841841 + 2.49525i −0.0897405 + 0.265995i
\(89\) −7.06986 2.92843i −0.749404 0.310413i −0.0249055 0.999690i \(-0.507928\pi\)
−0.724498 + 0.689277i \(0.757928\pi\)
\(90\) 9.20302 + 2.20747i 0.970084 + 0.232687i
\(91\) −11.8680 + 7.92995i −1.24411 + 0.831285i
\(92\) −0.689399 15.3521i −0.0718748 1.60057i
\(93\) −0.177715 0.118745i −0.0184282 0.0123133i
\(94\) 7.69043 12.0881i 0.793207 1.24679i
\(95\) −5.45303 + 7.16489i −0.559469 + 0.735102i
\(96\) 0.132890 0.461252i 0.0135630 0.0470763i
\(97\) 4.77934 + 4.77934i 0.485269 + 0.485269i 0.906809 0.421541i \(-0.138511\pi\)
−0.421541 + 0.906809i \(0.638511\pi\)
\(98\) −0.731602 3.29037i −0.0739030 0.332378i
\(99\) 2.73293 0.543614i 0.274670 0.0546353i
\(100\) −3.09405 9.50931i −0.309405 0.950931i
\(101\) 5.67871 + 8.49879i 0.565053 + 0.845662i 0.998457 0.0555383i \(-0.0176875\pi\)
−0.433404 + 0.901200i \(0.642687\pi\)
\(102\) 0.322584 + 0.731894i 0.0319406 + 0.0724683i
\(103\) 7.19768 + 17.3767i 0.709209 + 1.71218i 0.701969 + 0.712207i \(0.252304\pi\)
0.00723960 + 0.999974i \(0.497696\pi\)
\(104\) −0.886482 13.1495i −0.0869267 1.28942i
\(105\) 0.148216 0.562010i 0.0144644 0.0548466i
\(106\) −4.81770 + 0.108117i −0.467937 + 0.0105013i
\(107\) −3.83064 + 2.55955i −0.370322 + 0.247441i −0.726780 0.686870i \(-0.758984\pi\)
0.356458 + 0.934311i \(0.383984\pi\)
\(108\) −0.987593 + 0.242963i −0.0950312 + 0.0233792i
\(109\) 3.18059 + 2.12520i 0.304645 + 0.203557i 0.698490 0.715619i \(-0.253855\pi\)
−0.393845 + 0.919177i \(0.628855\pi\)
\(110\) −1.99901 2.16164i −0.190598 0.206104i
\(111\) 0.479782 + 0.479782i 0.0455389 + 0.0455389i
\(112\) 11.6950 + 3.65549i 1.10507 + 0.345411i
\(113\) 14.9815i 1.40934i −0.709534 0.704671i \(-0.751095\pi\)
0.709534 0.704671i \(-0.248905\pi\)
\(114\) 0.0836140 0.475927i 0.00783117 0.0445747i
\(115\) 15.4394 + 7.53830i 1.43974 + 0.702950i
\(116\) 5.22781 3.84319i 0.485390 0.356831i
\(117\) −11.5951 + 7.74759i −1.07197 + 0.716265i
\(118\) 0.277445 + 12.3630i 0.0255409 + 1.13810i
\(119\) −18.8626 + 7.81314i −1.72913 + 0.716229i
\(120\) 0.381682 + 0.377273i 0.0348427 + 0.0344402i
\(121\) 9.36179 + 3.87778i 0.851072 + 0.352525i
\(122\) −4.42308 1.71688i −0.400446 0.155439i
\(123\) −0.0704448 + 0.354150i −0.00635180 + 0.0319326i
\(124\) 2.13468 + 4.56302i 0.191700 + 0.409771i
\(125\) 10.9906 + 2.05122i 0.983026 + 0.183467i
\(126\) −2.81401 12.6560i −0.250692 1.12748i
\(127\) 12.8024 + 12.8024i 1.13603 + 1.13603i 0.989155 + 0.146875i \(0.0469215\pi\)
0.146875 + 0.989155i \(0.453079\pi\)
\(128\) −8.30802 + 7.67963i −0.734332 + 0.678790i
\(129\) 0.160121i 0.0140979i
\(130\) 13.3827 + 6.16623i 1.17374 + 0.540814i
\(131\) 13.6077 2.70673i 1.18891 0.236489i 0.439281 0.898349i \(-0.355233\pi\)
0.749627 + 0.661861i \(0.230233\pi\)
\(132\) 0.148548 + 0.0538583i 0.0129295 + 0.00468776i
\(133\) 12.0977 + 2.40639i 1.04901 + 0.208660i
\(134\) 1.13566 + 2.57663i 0.0981057 + 0.222587i
\(135\) 0.289963 1.09949i 0.0249561 0.0946293i
\(136\) 2.42580 18.6949i 0.208010 1.60308i
\(137\) −2.11814 + 5.11364i −0.180965 + 0.436887i −0.988166 0.153389i \(-0.950981\pi\)
0.807201 + 0.590276i \(0.200981\pi\)
\(138\) −0.921847 + 0.0206878i −0.0784729 + 0.00176106i
\(139\) −12.7289 2.53194i −1.07965 0.214756i −0.376945 0.926236i \(-0.623025\pi\)
−0.702707 + 0.711480i \(0.748025\pi\)
\(140\) −9.84656 + 9.52442i −0.832186 + 0.804960i
\(141\) −0.714772 0.477595i −0.0601947 0.0402208i
\(142\) −4.64936 6.63120i −0.390166 0.556478i
\(143\) 4.33838 0.362794
\(144\) 11.4260 + 3.57143i 0.952170 + 0.297619i
\(145\) 0.975250 + 7.18846i 0.0809901 + 0.596969i
\(146\) 13.8033 9.67795i 1.14237 0.800953i
\(147\) −0.198363 + 0.0394568i −0.0163607 + 0.00325435i
\(148\) −3.82044 15.5292i −0.314038 1.27650i
\(149\) 14.5016 + 2.88455i 1.18802 + 0.236311i 0.749249 0.662289i \(-0.230415\pi\)
0.438768 + 0.898600i \(0.355415\pi\)
\(150\) −0.574596 + 0.172800i −0.0469156 + 0.0141090i
\(151\) −11.9731 + 4.95944i −0.974361 + 0.403594i −0.812334 0.583193i \(-0.801803\pi\)
−0.162027 + 0.986786i \(0.551803\pi\)
\(152\) −7.49345 + 8.57683i −0.607799 + 0.695673i
\(153\) −18.4288 + 7.63346i −1.48988 + 0.617129i
\(154\) −1.45953 + 3.76009i −0.117612 + 0.302997i
\(155\) −5.62162 0.346189i −0.451539 0.0278066i
\(156\) −0.789989 + 0.0354752i −0.0632498 + 0.00284029i
\(157\) −7.84302 + 11.7379i −0.625941 + 0.936787i 0.374015 + 0.927423i \(0.377981\pi\)
−0.999956 + 0.00936453i \(0.997019\pi\)
\(158\) 6.14170 1.36558i 0.488607 0.108640i
\(159\) 0.289143i 0.0229305i
\(160\) −3.09309 12.2651i −0.244530 0.969642i
\(161\) 23.5373i 1.85500i
\(162\) −2.74267 12.3351i −0.215485 0.969138i
\(163\) 4.86738 7.28455i 0.381243 0.570570i −0.590374 0.807130i \(-0.701020\pi\)
0.971617 + 0.236559i \(0.0760198\pi\)
\(164\) 5.74194 6.28188i 0.448370 0.490532i
\(165\) −0.132360 + 0.117004i −0.0103042 + 0.00910875i
\(166\) 19.0114 + 7.37952i 1.47557 + 0.572762i
\(167\) 17.0005 7.04183i 1.31554 0.544913i 0.389042 0.921220i \(-0.372806\pi\)
0.926495 + 0.376307i \(0.122806\pi\)
\(168\) 0.235024 0.696622i 0.0181325 0.0537455i
\(169\) −8.04886 + 3.33395i −0.619143 + 0.256458i
\(170\) 17.0540 + 12.3851i 1.30798 + 0.949898i
\(171\) 11.8195 + 2.35105i 0.903861 + 0.179789i
\(172\) 1.95383 3.22885i 0.148978 0.246198i
\(173\) −2.37889 + 0.473190i −0.180864 + 0.0359760i −0.284691 0.958619i \(-0.591891\pi\)
0.103828 + 0.994595i \(0.466891\pi\)
\(174\) −0.223502 0.318772i −0.0169436 0.0241661i
\(175\) −4.08076 14.7626i −0.308476 1.11595i
\(176\) −2.33830 2.89867i −0.176256 0.218496i
\(177\) 0.741985 0.0557710
\(178\) 8.86107 6.21279i 0.664165 0.465669i
\(179\) 0.701223 + 0.468542i 0.0524119 + 0.0350205i 0.581500 0.813546i \(-0.302466\pi\)
−0.529088 + 0.848567i \(0.677466\pi\)
\(180\) −9.62012 + 9.30539i −0.717041 + 0.693583i
\(181\) 12.4845 + 2.48333i 0.927967 + 0.184584i 0.635863 0.771802i \(-0.280644\pi\)
0.292105 + 0.956386i \(0.405644\pi\)
\(182\) −0.452889 20.1808i −0.0335704 1.49590i
\(183\) −0.108944 + 0.263014i −0.00805337 + 0.0194426i
\(184\) 18.8416 + 10.8314i 1.38902 + 0.798502i
\(185\) 17.2888 + 4.55948i 1.27110 + 0.335220i
\(186\) 0.276593 0.121909i 0.0202808 0.00893882i
\(187\) 6.08634 + 1.21065i 0.445077 + 0.0885313i
\(188\) 8.58571 + 18.3525i 0.626177 + 1.33850i
\(189\) −1.52779 + 0.303896i −0.111130 + 0.0221052i
\(190\) −4.40972 11.9456i −0.319915 0.866623i
\(191\) 10.2269i 0.739996i −0.929033 0.369998i \(-0.879358\pi\)
0.929033 0.369998i \(-0.120642\pi\)
\(192\) 0.449491 + 0.508708i 0.0324392 + 0.0367129i
\(193\) −0.740463 0.740463i −0.0532997 0.0532997i 0.679955 0.733254i \(-0.261999\pi\)
−0.733254 + 0.679955i \(0.761999\pi\)
\(194\) −9.33082 + 2.07467i −0.669914 + 0.148953i
\(195\) 0.387907 0.794485i 0.0277786 0.0568942i
\(196\) 4.48146 + 1.62482i 0.320105 + 0.116058i
\(197\) 0.493848 2.48274i 0.0351852 0.176888i −0.959197 0.282740i \(-0.908757\pi\)
0.994382 + 0.105851i \(0.0337568\pi\)
\(198\) −1.42597 + 3.67362i −0.101339 + 0.261073i
\(199\) −6.89752 2.85705i −0.488953 0.202531i 0.124566 0.992211i \(-0.460246\pi\)
−0.613518 + 0.789681i \(0.710246\pi\)
\(200\) 13.6953 + 3.52682i 0.968405 + 0.249384i
\(201\) 0.156092 0.0646554i 0.0110099 0.00456044i
\(202\) −14.4516 + 0.324318i −1.01681 + 0.0228189i
\(203\) 8.26303 5.52118i 0.579951 0.387511i
\(204\) −1.11818 0.170682i −0.0782882 0.0119501i
\(205\) 3.09410 + 8.99813i 0.216102 + 0.628457i
\(206\) −26.1979 4.60262i −1.82530 0.320680i
\(207\) 22.9960i 1.59833i
\(208\) 16.3631 + 8.92426i 1.13457 + 0.618786i
\(209\) −2.65101 2.65101i −0.183374 0.183374i
\(210\) 0.558082 + 0.603483i 0.0385113 + 0.0416443i
\(211\) −12.0253 8.03506i −0.827857 0.553157i 0.0679040 0.997692i \(-0.478369\pi\)
−0.895761 + 0.444535i \(0.853369\pi\)
\(212\) 3.52819 5.83059i 0.242317 0.400447i
\(213\) −0.404042 + 0.269972i −0.0276845 + 0.0184982i
\(214\) −0.146179 6.51374i −0.00999259 0.445270i
\(215\) 2.12412 + 3.64579i 0.144864 + 0.248641i
\(216\) 0.459791 1.36284i 0.0312848 0.0927296i
\(217\) 2.95270 + 7.12845i 0.200442 + 0.483911i
\(218\) −4.95024 + 2.18183i −0.335273 + 0.147772i
\(219\) −0.561965 0.841041i −0.0379741 0.0568323i
\(220\) 4.09676 0.744306i 0.276204 0.0501811i
\(221\) −30.4599 + 6.05885i −2.04895 + 0.407562i
\(222\) −0.936689 + 0.208270i −0.0628665 + 0.0139781i
\(223\) −0.952486 0.952486i −0.0637832 0.0637832i 0.674496 0.738279i \(-0.264361\pi\)
−0.738279 + 0.674496i \(0.764361\pi\)
\(224\) −13.2396 + 11.1796i −0.884608 + 0.746969i
\(225\) −3.98691 14.4231i −0.265794 0.961540i
\(226\) 17.8760 + 11.3727i 1.18910 + 0.756500i
\(227\) 15.7092 + 10.4965i 1.04266 + 0.696680i 0.954130 0.299394i \(-0.0967844\pi\)
0.0885258 + 0.996074i \(0.471784\pi\)
\(228\) 0.504407 + 0.461053i 0.0334052 + 0.0305339i
\(229\) −6.42984 + 4.29628i −0.424896 + 0.283906i −0.749577 0.661917i \(-0.769743\pi\)
0.324681 + 0.945824i \(0.394743\pi\)
\(230\) −20.7151 + 12.7000i −1.36591 + 0.837414i
\(231\) 0.223590 + 0.0926142i 0.0147112 + 0.00609356i
\(232\) 0.617207 + 9.15528i 0.0405217 + 0.601074i
\(233\) −5.00542 + 12.0841i −0.327916 + 0.791658i 0.670831 + 0.741610i \(0.265938\pi\)
−0.998747 + 0.0500483i \(0.984062\pi\)
\(234\) −0.442474 19.7167i −0.0289254 1.28892i
\(235\) −22.6103 1.39238i −1.47493 0.0908288i
\(236\) −14.9622 9.05386i −0.973956 0.589356i
\(237\) −0.0736489 0.370258i −0.00478401 0.0240508i
\(238\) 4.99618 28.4381i 0.323854 1.84337i
\(239\) 3.84986 3.84986i 0.249027 0.249027i −0.571544 0.820571i \(-0.693656\pi\)
0.820571 + 0.571544i \(0.193656\pi\)
\(240\) −0.739906 + 0.169032i −0.0477607 + 0.0109110i
\(241\) 0.0201870 + 0.0201870i 0.00130036 + 0.00130036i 0.707757 0.706456i \(-0.249707\pi\)
−0.706456 + 0.707757i \(0.749707\pi\)
\(242\) −11.7337 + 8.22687i −0.754269 + 0.528844i
\(243\) −2.23988 + 0.445540i −0.143688 + 0.0285814i
\(244\) 5.40621 3.97434i 0.346097 0.254431i
\(245\) −3.99309 + 3.52982i −0.255109 + 0.225512i
\(246\) −0.369099 0.352896i −0.0235329 0.0224998i
\(247\) 17.3346 + 7.18022i 1.10297 + 0.456867i
\(248\) −7.06509 0.916744i −0.448634 0.0582133i
\(249\) 0.468266 1.13049i 0.0296751 0.0716421i
\(250\) −10.7906 + 11.5569i −0.682460 + 0.730923i
\(251\) 12.4388 + 18.6159i 0.785127 + 1.17503i 0.980926 + 0.194382i \(0.0622701\pi\)
−0.195799 + 0.980644i \(0.562730\pi\)
\(252\) 17.2374 + 6.24965i 1.08585 + 0.393691i
\(253\) −3.97458 + 5.94838i −0.249880 + 0.373972i
\(254\) −24.9944 + 5.55743i −1.56829 + 0.348704i
\(255\) 0.765901 1.00634i 0.0479626 0.0630194i
\(256\) −2.85665 15.7429i −0.178541 0.983933i
\(257\) −15.8067 + 15.8067i −0.985995 + 0.985995i −0.999903 0.0139079i \(-0.995573\pi\)
0.0139079 + 0.999903i \(0.495573\pi\)
\(258\) −0.191058 0.121550i −0.0118947 0.00756739i
\(259\) −4.77857 24.0235i −0.296926 1.49275i
\(260\) −17.5166 + 11.2875i −1.08634 + 0.700022i
\(261\) 8.07301 5.39421i 0.499707 0.333893i
\(262\) −7.10010 + 18.2915i −0.438645 + 1.13005i
\(263\) 16.0905 6.66490i 0.992182 0.410975i 0.173257 0.984877i \(-0.444571\pi\)
0.818924 + 0.573901i \(0.194571\pi\)
\(264\) −0.177029 + 0.136364i −0.0108954 + 0.00839265i
\(265\) 3.83570 + 6.58349i 0.235625 + 0.404421i
\(266\) −12.0549 + 12.6084i −0.739132 + 0.773069i
\(267\) −0.360756 0.539909i −0.0220779 0.0330419i
\(268\) −3.93655 0.600886i −0.240463 0.0367050i
\(269\) −10.5353 + 15.7673i −0.642352 + 0.961347i 0.357274 + 0.933999i \(0.383706\pi\)
−0.999626 + 0.0273476i \(0.991294\pi\)
\(270\) 1.09181 + 1.18063i 0.0664453 + 0.0718508i
\(271\) −17.9572 + 17.9572i −1.09082 + 1.09082i −0.0953797 + 0.995441i \(0.530407\pi\)
−0.995441 + 0.0953797i \(0.969593\pi\)
\(272\) 20.4655 + 17.0861i 1.24090 + 1.03600i
\(273\) −1.21118 −0.0733042
\(274\) −4.49372 6.40922i −0.271475 0.387195i
\(275\) −1.46156 + 4.41991i −0.0881355 + 0.266531i
\(276\) 0.675104 1.11566i 0.0406365 0.0671548i
\(277\) −13.1894 19.7393i −0.792472 1.18602i −0.979058 0.203580i \(-0.934742\pi\)
0.186586 0.982439i \(-0.440258\pi\)
\(278\) 12.6838 13.2662i 0.760725 0.795653i
\(279\) 2.88480 + 6.96452i 0.172708 + 0.416955i
\(280\) −3.88994 18.9791i −0.232468 1.13422i
\(281\) 5.30561 12.8089i 0.316506 0.764113i −0.682928 0.730485i \(-0.739294\pi\)
0.999434 0.0336280i \(-0.0107061\pi\)
\(282\) 1.11246 0.490321i 0.0662463 0.0291982i
\(283\) −1.32128 0.262819i −0.0785421 0.0156230i 0.155663 0.987810i \(-0.450249\pi\)
−0.234205 + 0.972187i \(0.575249\pi\)
\(284\) 11.4418 0.513804i 0.678946 0.0304887i
\(285\) −0.722510 + 0.248443i −0.0427978 + 0.0147165i
\(286\) −3.29333 + 5.17659i −0.194739 + 0.306098i
\(287\) 9.21725 9.21725i 0.544077 0.544077i
\(288\) −12.9351 + 10.9225i −0.762210 + 0.643616i
\(289\) −27.4231 −1.61312
\(290\) −9.31765 4.29319i −0.547151 0.252105i
\(291\) 0.111892 + 0.562517i 0.00655920 + 0.0329753i
\(292\) 1.06952 + 23.8169i 0.0625888 + 1.39378i
\(293\) 4.00274 20.1232i 0.233843 1.17561i −0.668207 0.743975i \(-0.732938\pi\)
0.902050 0.431632i \(-0.142062\pi\)
\(294\) 0.103500 0.266640i 0.00603625 0.0155508i
\(295\) 16.8942 9.84298i 0.983620 0.573080i
\(296\) 21.4298 + 7.22991i 1.24558 + 0.420230i
\(297\) 0.437423 + 0.181186i 0.0253818 + 0.0105135i
\(298\) −14.4502 + 15.1137i −0.837080 + 0.875514i
\(299\) 6.98491 35.1155i 0.403948 2.03078i
\(300\) 0.229999 0.816787i 0.0132790 0.0471572i
\(301\) 3.21137 4.80615i 0.185100 0.277022i
\(302\) 3.17136 18.0512i 0.182491 1.03873i
\(303\) 0.867340i 0.0498274i
\(304\) −4.54555 15.4520i −0.260705 0.886235i
\(305\) 1.00853 + 7.43378i 0.0577483 + 0.425657i
\(306\) 4.88129 27.7841i 0.279045 1.58831i
\(307\) −6.53303 32.8437i −0.372860 1.87449i −0.475411 0.879764i \(-0.657701\pi\)
0.102551 0.994728i \(-0.467299\pi\)
\(308\) −3.37862 4.59587i −0.192515 0.261874i
\(309\) −0.311363 + 1.56533i −0.0177128 + 0.0890484i
\(310\) 4.68053 6.44496i 0.265836 0.366049i
\(311\) 1.44399 + 3.48609i 0.0818810 + 0.197678i 0.959518 0.281648i \(-0.0908811\pi\)
−0.877637 + 0.479326i \(0.840881\pi\)
\(312\) 0.557364 0.969551i 0.0315545 0.0548900i
\(313\) −1.14673 2.76845i −0.0648170 0.156482i 0.888152 0.459550i \(-0.151989\pi\)
−0.952969 + 0.303068i \(0.901989\pi\)
\(314\) −8.05201 18.2688i −0.454401 1.03097i
\(315\) −15.3589 + 13.5770i −0.865377 + 0.764977i
\(316\) −3.03283 + 8.36495i −0.170610 + 0.470565i
\(317\) 5.50775 + 3.68016i 0.309346 + 0.206698i 0.700546 0.713607i \(-0.252940\pi\)
−0.391200 + 0.920306i \(0.627940\pi\)
\(318\) −0.345008 0.219493i −0.0193471 0.0123086i
\(319\) −3.02057 −0.169119
\(320\) 16.9828 + 5.61994i 0.949369 + 0.314164i
\(321\) −0.390934 −0.0218198
\(322\) 28.0849 + 17.8675i 1.56511 + 0.995717i
\(323\) 22.3151 + 14.9105i 1.24165 + 0.829641i
\(324\) 16.8004 + 6.09120i 0.933353 + 0.338400i
\(325\) −1.70718 23.2355i −0.0946975 1.28887i
\(326\) 4.99708 + 11.3376i 0.276763 + 0.627932i
\(327\) 0.124217 + 0.299885i 0.00686919 + 0.0165837i
\(328\) 3.13679 + 11.6200i 0.173200 + 0.641607i
\(329\) 11.8758 + 28.6708i 0.654735 + 1.58067i
\(330\) −0.0391333 0.246753i −0.00215422 0.0135833i
\(331\) 0.348687 1.75297i 0.0191656 0.0963518i −0.970019 0.243031i \(-0.921858\pi\)
0.989184 + 0.146679i \(0.0468584\pi\)
\(332\) −23.2371 + 17.0826i −1.27530 + 0.937529i
\(333\) −4.66868 23.4710i −0.255842 1.28620i
\(334\) −4.50296 + 25.6307i −0.246391 + 1.40245i
\(335\) 2.69635 3.54281i 0.147317 0.193564i
\(336\) 0.652804 + 0.809249i 0.0356134 + 0.0441481i
\(337\) 25.7656i 1.40354i 0.712403 + 0.701771i \(0.247607\pi\)
−0.712403 + 0.701771i \(0.752393\pi\)
\(338\) 2.13192 12.1348i 0.115961 0.660047i
\(339\) 0.706274 1.05701i 0.0383595 0.0574091i
\(340\) −27.7240 + 10.9472i −1.50355 + 0.593696i
\(341\) 0.457522 2.30012i 0.0247762 0.124558i
\(342\) −11.7777 + 12.3184i −0.636863 + 0.666104i
\(343\) −13.0651 5.41175i −0.705450 0.292207i
\(344\) 2.36951 + 4.78240i 0.127755 + 0.257849i
\(345\) 0.733944 + 1.25972i 0.0395142 + 0.0678212i
\(346\) 1.24124 3.19771i 0.0667293 0.171910i
\(347\) −5.30497 + 26.6699i −0.284786 + 1.43172i 0.528046 + 0.849216i \(0.322925\pi\)
−0.812831 + 0.582499i \(0.802075\pi\)
\(348\) 0.550025 0.0246994i 0.0294844 0.00132402i
\(349\) −0.219154 1.10176i −0.0117310 0.0589758i 0.974476 0.224490i \(-0.0720716\pi\)
−0.986207 + 0.165514i \(0.947072\pi\)
\(350\) 20.7126 + 6.33732i 1.10713 + 0.338744i
\(351\) −2.36951 −0.126475
\(352\) 5.23376 0.589648i 0.278960 0.0314283i
\(353\) 14.2985 14.2985i 0.761031 0.761031i −0.215478 0.976509i \(-0.569131\pi\)
0.976509 + 0.215478i \(0.0691310\pi\)
\(354\) −0.563252 + 0.885343i −0.0299365 + 0.0470554i
\(355\) −5.61824 + 11.5069i −0.298185 + 0.610723i
\(356\) 0.686580 + 15.2893i 0.0363887 + 0.810332i
\(357\) −1.69918 0.337987i −0.0899299 0.0178882i
\(358\) −1.09138 + 0.481027i −0.0576811 + 0.0254231i
\(359\) −2.22503 + 5.37171i −0.117433 + 0.283508i −0.971656 0.236398i \(-0.924033\pi\)
0.854223 + 0.519906i \(0.174033\pi\)
\(360\) −3.80048 18.5427i −0.200303 0.977284i
\(361\) 1.06607 + 2.57372i 0.0561089 + 0.135459i
\(362\) −12.4403 + 13.0115i −0.653848 + 0.683869i
\(363\) 0.477706 + 0.714938i 0.0250731 + 0.0375245i
\(364\) 24.4236 + 14.7791i 1.28015 + 0.774637i
\(365\) −23.9524 11.6947i −1.25373 0.612131i
\(366\) −0.231129 0.329651i −0.0120813 0.0172311i
\(367\) −26.6083 −1.38894 −0.694472 0.719520i \(-0.744362\pi\)
−0.694472 + 0.719520i \(0.744362\pi\)
\(368\) −27.2270 + 14.2596i −1.41931 + 0.743333i
\(369\) 9.00528 9.00528i 0.468796 0.468796i
\(370\) −18.5646 + 17.1679i −0.965127 + 0.892519i
\(371\) 5.79902 8.67885i 0.301070 0.450584i
\(372\) −0.0645034 + 0.422577i −0.00334434 + 0.0219096i
\(373\) 3.01150 + 4.50703i 0.155930 + 0.233365i 0.901207 0.433390i \(-0.142683\pi\)
−0.745277 + 0.666755i \(0.767683\pi\)
\(374\) −6.06478 + 6.34324i −0.313603 + 0.328001i
\(375\) 0.678733 + 0.662852i 0.0350496 + 0.0342295i
\(376\) −28.4159 3.68716i −1.46544 0.190151i
\(377\) 13.9662 5.78497i 0.719294 0.297941i
\(378\) 0.797158 2.05366i 0.0410014 0.105629i
\(379\) 2.52215 1.68525i 0.129554 0.0865653i −0.489105 0.872225i \(-0.662676\pi\)
0.618659 + 0.785660i \(0.287676\pi\)
\(380\) 17.6010 + 3.80636i 0.902914 + 0.195262i
\(381\) 0.299724 + 1.50681i 0.0153553 + 0.0771963i
\(382\) 12.2029 + 7.76343i 0.624353 + 0.397212i
\(383\) 9.41785 9.41785i 0.481230 0.481230i −0.424294 0.905524i \(-0.639478\pi\)
0.905524 + 0.424294i \(0.139478\pi\)
\(384\) −0.948210 + 0.150168i −0.0483881 + 0.00766320i
\(385\) 6.31951 0.857361i 0.322072 0.0436952i
\(386\) 1.44562 0.321429i 0.0735803 0.0163603i
\(387\) 3.13752 4.69563i 0.159489 0.238692i
\(388\) 4.60765 12.7085i 0.233918 0.645177i
\(389\) 17.4722 + 26.1490i 0.885875 + 1.32581i 0.944836 + 0.327545i \(0.106221\pi\)
−0.0589606 + 0.998260i \(0.518779\pi\)
\(390\) 0.653519 + 1.06596i 0.0330922 + 0.0539769i
\(391\) 19.5983 47.3145i 0.991130 2.39280i
\(392\) −5.34069 + 4.11389i −0.269746 + 0.207783i
\(393\) 1.08769 + 0.450535i 0.0548665 + 0.0227265i
\(394\) 2.58754 + 2.47395i 0.130358 + 0.124636i
\(395\) −6.58865 7.45338i −0.331511 0.375020i
\(396\) −3.30092 4.49018i −0.165878 0.225640i
\(397\) 17.7833 3.53733i 0.892520 0.177533i 0.272534 0.962146i \(-0.412138\pi\)
0.619986 + 0.784613i \(0.287138\pi\)
\(398\) 8.64507 6.06135i 0.433338 0.303828i
\(399\) 0.740105 + 0.740105i 0.0370516 + 0.0370516i
\(400\) −14.6045 + 13.6641i −0.730227 + 0.683204i
\(401\) 9.80589 9.80589i 0.489683 0.489683i −0.418523 0.908206i \(-0.637452\pi\)
0.908206 + 0.418523i \(0.137452\pi\)
\(402\) −0.0413445 + 0.235331i −0.00206208 + 0.0117373i
\(403\) 2.28973 + 11.5112i 0.114060 + 0.573416i
\(404\) 10.5835 17.4900i 0.526547 0.870159i
\(405\) −14.9695 + 13.2328i −0.743842 + 0.657542i
\(406\) 0.315321 + 14.0507i 0.0156491 + 0.697326i
\(407\) −2.84903 + 6.87818i −0.141221 + 0.340939i
\(408\) 1.05249 1.20465i 0.0521058 0.0596392i
\(409\) −5.52007 2.28649i −0.272950 0.113059i 0.242010 0.970274i \(-0.422193\pi\)
−0.514960 + 0.857214i \(0.672193\pi\)
\(410\) −13.0854 3.13871i −0.646243 0.155010i
\(411\) −0.390517 + 0.260935i −0.0192628 + 0.0128710i
\(412\) 25.3791 27.7656i 1.25034 1.36792i
\(413\) −22.2713 14.8812i −1.09590 0.732255i
\(414\) 27.4390 + 17.4566i 1.34855 + 0.857946i
\(415\) −4.33489 31.9520i −0.212792 1.56846i
\(416\) −23.0699 + 12.7500i −1.13110 + 0.625120i
\(417\) −0.778719 0.778719i −0.0381340 0.0381340i
\(418\) 5.17562 1.15078i 0.253148 0.0562865i
\(419\) 7.72244 1.53609i 0.377266 0.0750429i −0.00281508 0.999996i \(-0.500896\pi\)
0.380081 + 0.924953i \(0.375896\pi\)
\(420\) −1.14373 + 0.207794i −0.0558083 + 0.0101393i
\(421\) 17.3876 + 26.0224i 0.847420 + 1.26825i 0.961506 + 0.274782i \(0.0886058\pi\)
−0.114087 + 0.993471i \(0.536394\pi\)
\(422\) 18.7161 8.24917i 0.911086 0.401563i
\(423\) 11.6027 + 28.0115i 0.564144 + 1.36196i
\(424\) 4.27881 + 8.63595i 0.207797 + 0.419399i
\(425\) 4.08895 33.0735i 0.198343 1.60430i
\(426\) −0.0154184 0.687046i −0.000747026 0.0332875i
\(427\) 8.54501 5.70960i 0.413522 0.276307i
\(428\) 7.88321 + 4.77026i 0.381049 + 0.230579i
\(429\) 0.306093 + 0.204524i 0.0147783 + 0.00987454i
\(430\) −5.96264 0.233056i −0.287544 0.0112390i
\(431\) −17.3087 17.3087i −0.833731 0.833731i 0.154294 0.988025i \(-0.450690\pi\)
−0.988025 + 0.154294i \(0.950690\pi\)
\(432\) 1.27712 + 1.58318i 0.0614453 + 0.0761708i
\(433\) 19.1467i 0.920132i 0.887885 + 0.460066i \(0.152174\pi\)
−0.887885 + 0.460066i \(0.847826\pi\)
\(434\) −10.7472 1.88813i −0.515880 0.0906332i
\(435\) −0.270078 + 0.553155i −0.0129492 + 0.0265217i
\(436\) 1.15443 7.56292i 0.0552870 0.362198i
\(437\) −25.7258 + 17.1894i −1.23063 + 0.822283i
\(438\) 1.43013 0.0320945i 0.0683344 0.00153353i
\(439\) 10.9473 4.53451i 0.522485 0.216420i −0.105823 0.994385i \(-0.533748\pi\)
0.628308 + 0.777965i \(0.283748\pi\)
\(440\) −2.22180 + 5.45330i −0.105920 + 0.259976i
\(441\) 6.59024 + 2.72977i 0.313821 + 0.129989i
\(442\) 15.8931 40.9443i 0.755958 1.94752i
\(443\) −2.05764 + 10.3445i −0.0977615 + 0.491480i 0.900620 + 0.434608i \(0.143113\pi\)
−0.998381 + 0.0568727i \(0.981887\pi\)
\(444\) 0.462546 1.27577i 0.0219515 0.0605451i
\(445\) −15.3763 7.50748i −0.728907 0.355889i
\(446\) 1.85956 0.413467i 0.0880528 0.0195782i
\(447\) 0.887167 + 0.887167i 0.0419616 + 0.0419616i
\(448\) −3.28921 24.2842i −0.155401 1.14732i
\(449\) 10.3724i 0.489503i −0.969586 0.244751i \(-0.921294\pi\)
0.969586 0.244751i \(-0.0787063\pi\)
\(450\) 20.2363 + 6.19158i 0.953947 + 0.291874i
\(451\) −3.88585 + 0.772944i −0.182978 + 0.0363965i
\(452\) −27.1400 + 12.6966i −1.27656 + 0.597200i
\(453\) −1.07856 0.214540i −0.0506753 0.0100799i
\(454\) −24.4496 + 10.7762i −1.14748 + 0.505754i
\(455\) −27.5774 + 16.0672i −1.29285 + 0.753244i
\(456\) −0.933035 + 0.251871i −0.0436933 + 0.0117949i
\(457\) 1.01012 2.43865i 0.0472516 0.114075i −0.898491 0.438991i \(-0.855336\pi\)
0.945743 + 0.324916i \(0.105336\pi\)
\(458\) −0.245366 10.9335i −0.0114652 0.510889i
\(459\) −3.32420 0.661224i −0.155160 0.0308633i
\(460\) 0.571370 34.3581i 0.0266403 1.60196i
\(461\) 6.58885 + 4.40253i 0.306873 + 0.205046i 0.699465 0.714667i \(-0.253422\pi\)
−0.392592 + 0.919713i \(0.628422\pi\)
\(462\) −0.280239 + 0.196485i −0.0130379 + 0.00914130i
\(463\) 11.4599 0.532585 0.266292 0.963892i \(-0.414201\pi\)
0.266292 + 0.963892i \(0.414201\pi\)
\(464\) −11.3927 6.21346i −0.528892 0.288453i
\(465\) −0.380310 0.289445i −0.0176365 0.0134227i
\(466\) −10.6192 15.1458i −0.491925 0.701614i
\(467\) −18.5977 + 3.69931i −0.860599 + 0.171184i −0.605611 0.795761i \(-0.707071\pi\)
−0.254988 + 0.966944i \(0.582071\pi\)
\(468\) 23.8620 + 14.4393i 1.10302 + 0.667455i
\(469\) −5.98194 1.18988i −0.276221 0.0549437i
\(470\) 18.8252 25.9218i 0.868342 1.19568i
\(471\) −1.10672 + 0.458419i −0.0509950 + 0.0211228i
\(472\) 22.1612 10.9801i 1.02005 0.505399i
\(473\) −1.62317 + 0.672337i −0.0746332 + 0.0309141i
\(474\) 0.497702 + 0.193190i 0.0228602 + 0.00887351i
\(475\) −13.1550 + 15.2414i −0.603594 + 0.699324i
\(476\) 30.1398 + 27.5492i 1.38146 + 1.26272i
\(477\) 5.66567 8.47927i 0.259413 0.388239i
\(478\) 1.67119 + 7.51617i 0.0764386 + 0.343782i
\(479\) 11.7354i 0.536206i −0.963390 0.268103i \(-0.913603\pi\)
0.963390 0.268103i \(-0.0863968\pi\)
\(480\) 0.359983 1.01118i 0.0164309 0.0461537i
\(481\) 37.2589i 1.69886i
\(482\) −0.0394115 + 0.00876301i −0.00179514 + 0.000399144i
\(483\) 1.10962 1.66066i 0.0504894 0.0755627i
\(484\) −0.909158 20.2459i −0.0413254 0.920266i
\(485\) 10.0099 + 11.3236i 0.454524 + 0.514178i
\(486\) 1.16871 3.01086i 0.0530136 0.136575i
\(487\) 6.03087 2.49807i 0.273285 0.113198i −0.241832 0.970318i \(-0.577748\pi\)
0.515117 + 0.857120i \(0.327748\pi\)
\(488\) 0.638270 + 9.46772i 0.0288931 + 0.428583i
\(489\) 0.686832 0.284495i 0.0310596 0.0128653i
\(490\) −1.18059 7.44413i −0.0533336 0.336292i
\(491\) 35.6616 + 7.09353i 1.60938 + 0.320126i 0.916227 0.400660i \(-0.131219\pi\)
0.693157 + 0.720786i \(0.256219\pi\)
\(492\) 0.701267 0.172523i 0.0316155 0.00777792i
\(493\) 21.2075 4.21844i 0.955138 0.189989i
\(494\) −21.7264 + 15.2331i −0.977519 + 0.685372i
\(495\) 6.17419 0.837645i 0.277509 0.0376493i
\(496\) 6.45708 7.73420i 0.289932 0.347276i
\(497\) 17.5422 0.786874
\(498\) 0.993445 + 1.41691i 0.0445173 + 0.0634934i
\(499\) 10.6462 + 7.11354i 0.476588 + 0.318446i 0.770559 0.637368i \(-0.219977\pi\)
−0.293971 + 0.955814i \(0.594977\pi\)
\(500\) −5.59845 21.6485i −0.250370 0.968150i
\(501\) 1.53143 + 0.304621i 0.0684195 + 0.0136095i
\(502\) −31.6551 + 0.710392i −1.41284 + 0.0317063i
\(503\) 8.71976 21.0514i 0.388795 0.938634i −0.601401 0.798947i \(-0.705390\pi\)
0.990196 0.139687i \(-0.0446095\pi\)
\(504\) −20.5423 + 15.8236i −0.915026 + 0.704837i
\(505\) 11.5059 + 19.7484i 0.512006 + 0.878794i
\(506\) −4.08049 9.25801i −0.181400 0.411569i
\(507\) −0.725056 0.144223i −0.0322009 0.00640515i
\(508\) 12.3425 34.0423i 0.547610 1.51038i
\(509\) −2.46363 + 0.490046i −0.109198 + 0.0217209i −0.249387 0.968404i \(-0.580229\pi\)
0.140189 + 0.990125i \(0.455229\pi\)
\(510\) 0.619364 + 1.67781i 0.0274259 + 0.0742945i
\(511\) 36.5152i 1.61534i
\(512\) 20.9531 + 8.54212i 0.926005 + 0.377512i
\(513\) 1.44791 + 1.44791i 0.0639268 + 0.0639268i
\(514\) −6.86157 30.8598i −0.302651 1.36117i
\(515\) 13.6758 + 39.7714i 0.602628 + 1.75254i
\(516\) 0.290069 0.135701i 0.0127696 0.00597389i
\(517\) 1.84016 9.25112i 0.0809302 0.406864i
\(518\) 32.2925 + 12.5348i 1.41885 + 0.550746i
\(519\) −0.190149 0.0787623i −0.00834661 0.00345728i
\(520\) −0.171207 29.4695i −0.00750792 1.29232i
\(521\) −22.4651 + 9.30536i −0.984216 + 0.407675i −0.815986 0.578072i \(-0.803805\pi\)
−0.168230 + 0.985748i \(0.553805\pi\)
\(522\) 0.308070 + 13.7276i 0.0134838 + 0.600841i
\(523\) −8.48787 + 5.67141i −0.371149 + 0.247994i −0.727130 0.686499i \(-0.759146\pi\)
0.355982 + 0.934493i \(0.384146\pi\)
\(524\) −16.4358 22.3572i −0.718000 0.976681i
\(525\) 0.408037 1.23395i 0.0178082 0.0538538i
\(526\) −4.26193 + 24.2587i −0.185829 + 1.05773i
\(527\) 16.7881i 0.731303i
\(528\) −0.0283253 0.314749i −0.00123270 0.0136977i
\(529\) 25.4844 + 25.4844i 1.10802 + 1.10802i
\(530\) −10.7672 0.420848i −0.467697 0.0182804i
\(531\) −21.7591 14.5390i −0.944264 0.630937i
\(532\) −5.89335 23.9552i −0.255509 1.03859i
\(533\) 16.4866 11.0160i 0.714114 0.477156i
\(534\) 0.918078 0.0206032i 0.0397291 0.000891587i
\(535\) −8.90116 + 5.18602i −0.384831 + 0.224211i
\(536\) 3.70527 4.24097i 0.160043 0.183182i
\(537\) 0.0273860 + 0.0661155i 0.00118179 + 0.00285310i
\(538\) −10.8161 24.5400i −0.466314 1.05800i
\(539\) −1.23289 1.84515i −0.0531044 0.0794763i
\(540\) −2.23754 + 0.406520i −0.0962885 + 0.0174938i
\(541\) −22.2504 + 4.42587i −0.956618 + 0.190283i −0.648627 0.761106i \(-0.724657\pi\)
−0.307991 + 0.951389i \(0.599657\pi\)
\(542\) −7.79507 35.0582i −0.334827 1.50588i
\(543\) 0.763768 + 0.763768i 0.0327764 + 0.0327764i
\(544\) −35.9229 + 11.4492i −1.54018 + 0.490882i
\(545\) 6.80648 + 5.18025i 0.291557 + 0.221898i
\(546\) 0.919429 1.44519i 0.0393479 0.0618486i
\(547\) −8.88146 5.93440i −0.379744 0.253737i 0.351019 0.936368i \(-0.385835\pi\)
−0.730763 + 0.682632i \(0.760835\pi\)
\(548\) 11.0588 0.496604i 0.472408 0.0212139i
\(549\) 8.34851 5.57830i 0.356306 0.238076i
\(550\) −4.16438 5.09917i −0.177570 0.217429i
\(551\) −12.0691 4.99918i −0.514161 0.212972i
\(552\) 0.818732 + 1.65245i 0.0348475 + 0.0703331i
\(553\) −5.21522 + 12.5907i −0.221774 + 0.535409i
\(554\) 33.5653 0.753260i 1.42605 0.0320030i
\(555\) 1.00486 + 1.13674i 0.0426537 + 0.0482518i
\(556\) 6.20083 + 25.2050i 0.262974 + 1.06893i
\(557\) −4.35300 21.8840i −0.184442 0.927254i −0.956507 0.291710i \(-0.905776\pi\)
0.772064 0.635544i \(-0.219224\pi\)
\(558\) −10.5000 1.84471i −0.444501 0.0780928i
\(559\) 6.21734 6.21734i 0.262966 0.262966i
\(560\) 25.5989 + 9.76583i 1.08175 + 0.412682i
\(561\) 0.372345 + 0.372345i 0.0157204 + 0.0157204i
\(562\) 11.2561 + 16.0541i 0.474809 + 0.677202i
\(563\) −6.02333 + 1.19811i −0.253853 + 0.0504945i −0.320376 0.947290i \(-0.603809\pi\)
0.0665232 + 0.997785i \(0.478809\pi\)
\(564\) −0.259434 + 1.69961i −0.0109241 + 0.0715666i
\(565\) 2.05907 33.4363i 0.0866255 1.40668i
\(566\) 1.31660 1.37705i 0.0553410 0.0578819i
\(567\) 25.2874 + 10.4744i 1.06197 + 0.439882i
\(568\) −8.07257 + 14.0425i −0.338717 + 0.589209i
\(569\) 1.43954 3.47537i 0.0603488 0.145695i −0.890829 0.454339i \(-0.849875\pi\)
0.951177 + 0.308644i \(0.0998753\pi\)
\(570\) 0.252025 1.05070i 0.0105562 0.0440091i
\(571\) −14.9601 22.3893i −0.626059 0.936963i −0.999955 0.00949271i \(-0.996978\pi\)
0.373896 0.927471i \(-0.378022\pi\)
\(572\) −3.67673 7.85926i −0.153732 0.328612i
\(573\) 0.482129 0.721557i 0.0201412 0.0301435i
\(574\) 4.00114 + 17.9950i 0.167004 + 0.751099i
\(575\) 33.4223 + 18.9463i 1.39381 + 0.790115i
\(576\) −3.21357 23.7258i −0.133899 0.988573i
\(577\) −1.19597 + 1.19597i −0.0497888 + 0.0497888i −0.731563 0.681774i \(-0.761209\pi\)
0.681774 + 0.731563i \(0.261209\pi\)
\(578\) 20.8173 32.7214i 0.865885 1.36103i
\(579\) −0.0173354 0.0871507i −0.000720433 0.00362186i
\(580\) 12.1958 7.85886i 0.506405 0.326321i
\(581\) −36.7284 + 24.5411i −1.52375 + 1.01814i
\(582\) −0.756138 0.293505i −0.0313429 0.0121662i
\(583\) −2.93108 + 1.21409i −0.121393 + 0.0502826i
\(584\) −29.2304 16.8036i −1.20956 0.695338i
\(585\) −26.9432 + 15.6978i −1.11397 + 0.649022i
\(586\) 20.9726 + 20.0519i 0.866368 + 0.828336i
\(587\) −19.9377 29.8389i −0.822918 1.23158i −0.970156 0.242482i \(-0.922038\pi\)
0.147238 0.989101i \(-0.452962\pi\)
\(588\) 0.239589 + 0.325908i 0.00988048 + 0.0134402i
\(589\) 5.63489 8.43321i 0.232182 0.347484i
\(590\) −1.07996 + 27.6303i −0.0444612 + 1.13752i
\(591\) 0.151887 0.151887i 0.00624781 0.00624781i
\(592\) −24.8944 + 20.0818i −1.02315 + 0.825357i
\(593\) −41.7833 −1.71583 −0.857917 0.513789i \(-0.828242\pi\)
−0.857917 + 0.513789i \(0.828242\pi\)
\(594\) −0.548247 + 0.384395i −0.0224949 + 0.0157719i
\(595\) −43.1721 + 14.8452i −1.76988 + 0.608594i
\(596\) −7.06439 28.7152i −0.289369 1.17622i
\(597\) −0.351962 0.526748i −0.0144048 0.0215584i
\(598\) 36.5977 + 34.9912i 1.49659 + 1.43090i
\(599\) 8.49633 + 20.5119i 0.347150 + 0.838095i 0.996954 + 0.0779931i \(0.0248512\pi\)
−0.649803 + 0.760102i \(0.725149\pi\)
\(600\) 0.800001 + 0.894472i 0.0326599 + 0.0365167i
\(601\) 3.90496 9.42742i 0.159287 0.384552i −0.824007 0.566580i \(-0.808266\pi\)
0.983293 + 0.182028i \(0.0582661\pi\)
\(602\) 3.29694 + 7.48025i 0.134373 + 0.304872i
\(603\) −5.84438 1.16252i −0.238002 0.0473415i
\(604\) 19.1314 + 17.4871i 0.778447 + 0.711538i
\(605\) 20.3611 + 9.94127i 0.827794 + 0.404170i
\(606\) −1.03492 0.658411i −0.0420406 0.0267461i
\(607\) −6.96862 + 6.96862i −0.282848 + 0.282848i −0.834244 0.551396i \(-0.814095\pi\)
0.551396 + 0.834244i \(0.314095\pi\)
\(608\) 21.8881 + 6.30610i 0.887679 + 0.255746i
\(609\) 0.843279 0.0341714
\(610\) −9.63563 4.43971i −0.390135 0.179758i
\(611\) 9.20934 + 46.2985i 0.372570 + 1.87304i
\(612\) 29.4467 + 26.9157i 1.19031 + 1.08800i
\(613\) −7.92200 + 39.8266i −0.319967 + 1.60858i 0.401316 + 0.915940i \(0.368553\pi\)
−0.721282 + 0.692641i \(0.756447\pi\)
\(614\) 44.1487 + 17.1369i 1.78170 + 0.691590i
\(615\) −0.205896 + 0.780724i −0.00830253 + 0.0314818i
\(616\) 8.04858 0.542599i 0.324287 0.0218619i
\(617\) −37.4305 15.5042i −1.50690 0.624177i −0.531981 0.846756i \(-0.678552\pi\)
−0.974915 + 0.222580i \(0.928552\pi\)
\(618\) −1.63140 1.55979i −0.0656246 0.0627438i
\(619\) −8.51350 + 42.8003i −0.342187 + 1.72029i 0.300173 + 0.953885i \(0.402956\pi\)
−0.642360 + 0.766403i \(0.722044\pi\)
\(620\) 4.13711 + 10.4773i 0.166150 + 0.420779i
\(621\) 2.17081 3.24885i 0.0871117 0.130372i
\(622\) −5.25578 0.923370i −0.210738 0.0370238i
\(623\) 23.4411i 0.939146i
\(624\) 0.733772 + 1.40105i 0.0293744 + 0.0560870i
\(625\) 24.2473 + 6.08855i 0.969890 + 0.243542i
\(626\) 4.17384 + 0.733287i 0.166820 + 0.0293080i
\(627\) −0.0620640 0.312017i −0.00247860 0.0124608i
\(628\) 27.9108 + 4.26040i 1.11376 + 0.170008i
\(629\) 10.3973 52.2707i 0.414567 2.08417i
\(630\) −4.54098 28.6329i −0.180917 1.14076i
\(631\) −12.4461 30.0476i −0.495472 1.19618i −0.951898 0.306415i \(-0.900871\pi\)
0.456426 0.889762i \(-0.349129\pi\)
\(632\) −7.67886 9.96876i −0.305449 0.396536i
\(633\) −0.469644 1.13382i −0.0186667 0.0450653i
\(634\) −8.57222 + 3.77822i −0.340446 + 0.150052i
\(635\) 26.8134 + 30.3325i 1.06406 + 1.20371i
\(636\) 0.523801 0.245045i 0.0207701 0.00971668i
\(637\) 9.23431 + 6.17017i 0.365877 + 0.244471i
\(638\) 2.29296 3.60417i 0.0907792 0.142690i
\(639\) 17.1388 0.677999
\(640\) −19.5977 + 15.9979i −0.774666 + 0.632371i
\(641\) 36.0649 1.42448 0.712239 0.701937i \(-0.247681\pi\)
0.712239 + 0.701937i \(0.247681\pi\)
\(642\) 0.296764 0.466465i 0.0117123 0.0184099i
\(643\) −37.6669 25.1682i −1.48544 0.992539i −0.992469 0.122492i \(-0.960911\pi\)
−0.492970 0.870047i \(-0.664089\pi\)
\(644\) −42.6393 + 19.9476i −1.68022 + 0.786044i
\(645\) −0.0220071 + 0.357364i −0.000866529 + 0.0140712i
\(646\) −34.7310 + 15.3078i −1.36647 + 0.602276i
\(647\) −7.73249 18.6679i −0.303996 0.733911i −0.999876 0.0157527i \(-0.994986\pi\)
0.695880 0.718158i \(-0.255014\pi\)
\(648\) −20.0215 + 15.4224i −0.786518 + 0.605849i
\(649\) 3.11555 + 7.52159i 0.122296 + 0.295248i
\(650\) 29.0207 + 15.6014i 1.13828 + 0.611936i
\(651\) −0.127730 + 0.642144i −0.00500615 + 0.0251676i
\(652\) −17.3215 2.64400i −0.678362 0.103547i
\(653\) −0.584230 2.93712i −0.0228627 0.114939i 0.967669 0.252224i \(-0.0811621\pi\)
−0.990531 + 0.137286i \(0.956162\pi\)
\(654\) −0.452120 0.0794314i −0.0176793 0.00310601i
\(655\) 30.7422 4.17075i 1.20120 0.162965i
\(656\) −16.2462 5.07807i −0.634309 0.198265i
\(657\) 35.6755i 1.39183i
\(658\) −43.2253 7.59410i −1.68510 0.296049i
\(659\) −2.31363 + 3.46259i −0.0901261 + 0.134883i −0.873793 0.486298i \(-0.838347\pi\)
0.783667 + 0.621181i \(0.213347\pi\)
\(660\) 0.324134 + 0.140620i 0.0126169 + 0.00547361i
\(661\) 2.38443 11.9873i 0.0927434 0.466253i −0.906304 0.422625i \(-0.861109\pi\)
0.999048 0.0436272i \(-0.0138914\pi\)
\(662\) 1.82696 + 1.74676i 0.0710068 + 0.0678898i
\(663\) −2.43472 1.00849i −0.0945566 0.0391666i
\(664\) −2.74343 40.6944i −0.106466 1.57925i
\(665\) 26.6694 + 7.03339i 1.03420 + 0.272743i
\(666\) 31.5499 + 12.2465i 1.22253 + 0.474543i
\(667\) −4.86320 + 24.4489i −0.188304 + 0.946667i
\(668\) −27.1644 24.8296i −1.05102 0.960686i
\(669\) −0.0222991 0.112105i −0.000862135 0.00433424i
\(670\) 2.18047 + 5.90671i 0.0842388 + 0.228196i
\(671\) −3.12365 −0.120587
\(672\) −1.46115 + 0.164617i −0.0563653 + 0.00635025i
\(673\) −5.53608 + 5.53608i −0.213400 + 0.213400i −0.805710 0.592310i \(-0.798216\pi\)
0.592310 + 0.805710i \(0.298216\pi\)
\(674\) −30.7437 19.5591i −1.18420 0.753387i
\(675\) 0.798267 2.41404i 0.0307253 0.0929165i
\(676\) 12.8610 + 11.7555i 0.494653 + 0.452136i
\(677\) 10.4510 + 2.07883i 0.401663 + 0.0798958i 0.391788 0.920055i \(-0.371857\pi\)
0.00987520 + 0.999951i \(0.496857\pi\)
\(678\) 0.725093 + 1.64513i 0.0278470 + 0.0631807i
\(679\) 7.92327 19.1285i 0.304067 0.734083i
\(680\) 7.98343 41.3907i 0.306150 1.58726i
\(681\) 0.613516 + 1.48116i 0.0235100 + 0.0567581i
\(682\) 2.39720 + 2.29197i 0.0917937 + 0.0877641i
\(683\) 12.3482 + 18.4803i 0.472489 + 0.707130i 0.988796 0.149273i \(-0.0476935\pi\)
−0.516306 + 0.856404i \(0.672693\pi\)
\(684\) −5.75782 23.4043i −0.220156 0.894886i
\(685\) −5.43017 + 11.1217i −0.207476 + 0.424938i
\(686\) 16.3753 11.4813i 0.625211 0.438356i
\(687\) −0.656194 −0.0250354
\(688\) −7.50512 0.803075i −0.286130 0.0306170i
\(689\) 11.2272 11.2272i 0.427720 0.427720i
\(690\) −2.06026 0.0805274i −0.0784327 0.00306563i
\(691\) −12.0450 + 18.0266i −0.458213 + 0.685764i −0.986585 0.163249i \(-0.947803\pi\)
0.528372 + 0.849013i \(0.322803\pi\)
\(692\) 2.87329 + 3.90849i 0.109226 + 0.148578i
\(693\) −4.74216 7.09714i −0.180140 0.269598i
\(694\) −27.7956 26.5755i −1.05511 1.00879i
\(695\) −28.0609 7.40034i −1.06441 0.280711i
\(696\) −0.388061 + 0.675044i −0.0147094 + 0.0255875i
\(697\) 26.2032 10.8537i 0.992517 0.411114i
\(698\) 1.48099 + 0.574867i 0.0560563 + 0.0217590i
\(699\) −0.922838 + 0.616621i −0.0349049 + 0.0233227i
\(700\) −23.2850 + 19.9037i −0.880089 + 0.752288i
\(701\) 6.21168 + 31.2282i 0.234612 + 1.17947i 0.900983 + 0.433854i \(0.142847\pi\)
−0.666371 + 0.745620i \(0.732153\pi\)
\(702\) 1.79873 2.82732i 0.0678887 0.106710i
\(703\) −22.7674 + 22.7674i −0.858689 + 0.858689i
\(704\) −3.26945 + 6.69257i −0.123222 + 0.252236i
\(705\) −1.52962 1.16416i −0.0576087 0.0438446i
\(706\) 6.20685 + 27.9152i 0.233598 + 1.05060i
\(707\) 17.3953 26.0339i 0.654217 0.979105i
\(708\) −0.628824 1.34415i −0.0236326 0.0505164i
\(709\) −17.9210 26.8206i −0.673036 1.00727i −0.998102 0.0615778i \(-0.980387\pi\)
0.325067 0.945691i \(-0.394613\pi\)
\(710\) −9.46523 15.4388i −0.355224 0.579407i
\(711\) −5.09529 + 12.3011i −0.191088 + 0.461328i
\(712\) −18.7645 10.7871i −0.703230 0.404264i
\(713\) −17.8809 7.40650i −0.669644 0.277375i
\(714\) 1.69316 1.77090i 0.0633649 0.0662742i
\(715\) 9.68257 + 0.596269i 0.362108 + 0.0222992i
\(716\) 0.254516 1.66739i 0.00951171 0.0623134i
\(717\) 0.453119 0.0901310i 0.0169220 0.00336600i
\(718\) −4.72050 6.73267i −0.176168 0.251261i
\(719\) −1.30661 1.30661i −0.0487284 0.0487284i 0.682323 0.731051i \(-0.260970\pi\)
−0.731051 + 0.682323i \(0.760970\pi\)
\(720\) 25.0102 + 9.54125i 0.932077 + 0.355582i
\(721\) 40.7399 40.7399i 1.51723 1.51723i
\(722\) −3.88025 0.681708i −0.144408 0.0253705i
\(723\) 0.000472607 0.00237596i 1.75765e−5 8.83628e-5i
\(724\) −6.08178 24.7211i −0.226028 0.918753i
\(725\) 1.18862 + 16.1775i 0.0441441 + 0.600819i
\(726\) −1.21570 + 0.0272824i −0.0451190 + 0.00101254i
\(727\) 0.180364 0.435437i 0.00668933 0.0161495i −0.920500 0.390744i \(-0.872218\pi\)
0.927189 + 0.374594i \(0.122218\pi\)
\(728\) −36.1749 + 17.9234i −1.34073 + 0.664285i
\(729\) 24.5862 + 10.1840i 0.910602 + 0.377183i
\(730\) 32.1369 19.7025i 1.18944 0.729223i
\(731\) 10.4573 6.98736i 0.386778 0.258437i
\(732\) 0.568795 0.0255423i 0.0210233 0.000944069i
\(733\) −4.74074 3.16766i −0.175103 0.117000i 0.464930 0.885347i \(-0.346079\pi\)
−0.640033 + 0.768347i \(0.721079\pi\)
\(734\) 20.1988 31.7493i 0.745551 1.17189i
\(735\) −0.448137 + 0.0607983i −0.0165298 + 0.00224258i
\(736\) 3.65379 43.3122i 0.134681 1.59651i
\(737\) 1.31084 + 1.31084i 0.0482854 + 0.0482854i
\(738\) 3.90912 + 17.5812i 0.143897 + 0.647174i
\(739\) −20.0648 + 3.99113i −0.738095 + 0.146816i −0.549800 0.835296i \(-0.685296\pi\)
−0.188295 + 0.982113i \(0.560296\pi\)
\(740\) −6.39226 35.1839i −0.234984 1.29338i
\(741\) 0.884537 + 1.32380i 0.0324943 + 0.0486311i
\(742\) 5.95354 + 13.5077i 0.218561 + 0.495883i
\(743\) −14.6070 35.2645i −0.535880 1.29373i −0.927576 0.373635i \(-0.878111\pi\)
0.391695 0.920095i \(-0.371889\pi\)
\(744\) −0.455256 0.397750i −0.0166905 0.0145822i
\(745\) 31.9688 + 8.43095i 1.17125 + 0.308886i
\(746\) −7.66390 + 0.171991i −0.280595 + 0.00629702i
\(747\) −35.8838 + 23.9768i −1.31292 + 0.877264i
\(748\) −2.96493 12.0518i −0.108409 0.440657i
\(749\) 11.7342 + 7.84053i 0.428758 + 0.286487i
\(750\) −1.30616 + 0.306689i −0.0476941 + 0.0111987i
\(751\) −36.0273 36.0273i −1.31465 1.31465i −0.917944 0.396710i \(-0.870152\pi\)
−0.396710 0.917944i \(-0.629848\pi\)
\(752\) 25.9705 31.1071i 0.947048 1.13436i
\(753\) 1.89984i 0.0692339i
\(754\) −3.69925 + 21.0560i −0.134719 + 0.766814i
\(755\) −27.4038 + 9.42308i −0.997326 + 0.342941i
\(756\) 1.84531 + 2.51014i 0.0671133 + 0.0912930i
\(757\) −18.5423 + 12.3896i −0.673932 + 0.450307i −0.844868 0.534975i \(-0.820321\pi\)
0.170936 + 0.985282i \(0.445321\pi\)
\(758\) 0.0962464 + 4.28874i 0.00349583 + 0.155774i
\(759\) −0.560850 + 0.232311i −0.0203575 + 0.00843237i
\(760\) −17.9030 + 18.1122i −0.649409 + 0.656999i
\(761\) −4.11664 1.70517i −0.149228 0.0618123i 0.306819 0.951768i \(-0.400735\pi\)
−0.456047 + 0.889955i \(0.650735\pi\)
\(762\) −2.02546 0.786212i −0.0733748 0.0284814i
\(763\) 2.28601 11.4926i 0.0827592 0.416058i
\(764\) −18.5268 + 8.66721i −0.670275 + 0.313569i
\(765\) −42.1793 + 14.5038i −1.52500 + 0.524386i
\(766\) 4.08822 + 18.3867i 0.147713 + 0.664338i
\(767\) −28.8106 28.8106i −1.04029 1.04029i
\(768\) 0.540620 1.24541i 0.0195079 0.0449397i
\(769\) 3.83582i 0.138323i 0.997605 + 0.0691615i \(0.0220324\pi\)
−0.997605 + 0.0691615i \(0.977968\pi\)
\(770\) −3.77423 + 8.19133i −0.136014 + 0.295195i
\(771\) −1.86041 + 0.370059i −0.0670011 + 0.0133273i
\(772\) −0.713863 + 1.96893i −0.0256925 + 0.0708633i
\(773\) −29.0385 5.77612i −1.04444 0.207753i −0.357086 0.934072i \(-0.616230\pi\)
−0.687358 + 0.726319i \(0.741230\pi\)
\(774\) 3.22112 + 7.30823i 0.115781 + 0.262689i
\(775\) −12.4990 1.54528i −0.448976 0.0555080i
\(776\) 11.6662 + 15.1451i 0.418791 + 0.543678i
\(777\) 0.795390 1.92024i 0.0285345 0.0688883i
\(778\) −44.4645 + 0.997857i −1.59413 + 0.0357749i
\(779\) −16.8057 3.34286i −0.602127 0.119771i
\(780\) −1.76801 0.0294016i −0.0633048 0.00105275i
\(781\) −4.43329 2.96223i −0.158635 0.105997i
\(782\) 41.5787 + 59.3020i 1.48685 + 2.12064i
\(783\) 1.64976 0.0589575
\(784\) −0.854528 9.49547i −0.0305189 0.339124i
\(785\) −19.1176 + 25.1192i −0.682338 + 0.896542i
\(786\) −1.36326 + 0.955828i −0.0486259 + 0.0340933i
\(787\) 7.82146 1.55579i 0.278805 0.0554578i −0.0537072 0.998557i \(-0.517104\pi\)
0.332512 + 0.943099i \(0.392104\pi\)
\(788\) −4.91618 + 1.20946i −0.175132 + 0.0430851i
\(789\) 1.44946 + 0.288316i 0.0516021 + 0.0102643i
\(790\) 13.8950 2.20365i 0.494361 0.0784023i
\(791\) −42.3987 + 17.5621i −1.50752 + 0.624437i
\(792\) 7.86349 0.530121i 0.279417 0.0188370i
\(793\) 14.4428 5.98239i 0.512878 0.212441i
\(794\) −9.27884 + 23.9045i −0.329294 + 0.848337i
\(795\) −0.0397400 + 0.645321i −0.00140943 + 0.0228872i
\(796\) 0.669844 + 14.9166i 0.0237420 + 0.528706i
\(797\) 10.9400 16.3729i 0.387515 0.579957i −0.585508 0.810667i \(-0.699105\pi\)
0.973023 + 0.230710i \(0.0741048\pi\)
\(798\) −1.44492 + 0.321274i −0.0511497 + 0.0113730i
\(799\) 67.5223i 2.38877i
\(800\) −5.21755 27.7989i −0.184468 0.982838i
\(801\) 22.9020i 0.809202i
\(802\) 4.25666 + 19.1443i 0.150308 + 0.676007i
\(803\) 6.16607 9.22818i 0.217596 0.325655i
\(804\) −0.249414 0.227976i −0.00879614 0.00804009i
\(805\) 3.23498 52.5315i 0.114018 1.85149i
\(806\) −15.4735 6.00624i −0.545030 0.211561i
\(807\) −1.48663 + 0.615784i −0.0523320 + 0.0216766i
\(808\) 12.8351 + 25.9052i 0.451537 + 0.911341i
\(809\) −13.7345 + 5.68901i −0.482879 + 0.200015i −0.610824 0.791766i \(-0.709162\pi\)
0.127945 + 0.991781i \(0.459162\pi\)
\(810\) −4.42586 27.9070i −0.155509 0.980551i
\(811\) 34.0928 + 6.78147i 1.19716 + 0.238130i 0.753123 0.657879i \(-0.228546\pi\)
0.444036 + 0.896009i \(0.353546\pi\)
\(812\) −17.0048 10.2899i −0.596751 0.361104i
\(813\) −2.11352 + 0.420404i −0.0741242 + 0.0147442i
\(814\) −6.04435 8.62082i −0.211854 0.302159i
\(815\) 11.8644 15.5890i 0.415592 0.546058i
\(816\) 0.638442 + 2.17030i 0.0223499 + 0.0759759i
\(817\) −7.59833 −0.265832
\(818\) 6.91862 4.85088i 0.241904 0.169607i
\(819\) 35.5186 + 23.7328i 1.24112 + 0.829290i
\(820\) 13.6785 13.2310i 0.477673 0.462046i
\(821\) −32.3869 6.44215i −1.13031 0.224833i −0.405710 0.914002i \(-0.632976\pi\)
−0.724600 + 0.689169i \(0.757976\pi\)
\(822\) −0.0149023 0.664047i −0.000519777 0.0231613i
\(823\) −11.0732 + 26.7332i −0.385989 + 0.931860i 0.604791 + 0.796384i \(0.293256\pi\)
−0.990781 + 0.135476i \(0.956744\pi\)
\(824\) 13.8645 + 51.3599i 0.482992 + 1.78921i
\(825\) −0.311488 + 0.242943i −0.0108446 + 0.00845817i
\(826\) 34.6628 15.2777i 1.20607 0.531579i
\(827\) −26.7541 5.32172i −0.930331 0.185054i −0.293413 0.955986i \(-0.594791\pi\)
−0.636918 + 0.770931i \(0.719791\pi\)
\(828\) −41.6587 + 19.4888i −1.44774 + 0.677284i
\(829\) 34.9243 6.94688i 1.21297 0.241275i 0.453166 0.891426i \(-0.350294\pi\)
0.759805 + 0.650151i \(0.225294\pi\)
\(830\) 41.4161 + 19.0828i 1.43757 + 0.662375i
\(831\) 2.01448i 0.0698816i
\(832\) 2.29936 37.2059i 0.0797159 1.28988i
\(833\) 11.2330 + 11.2330i 0.389202 + 0.389202i
\(834\) 1.52031 0.338036i 0.0526440 0.0117052i
\(835\) 38.9102 13.3797i 1.34654 0.463023i
\(836\) −2.55577 + 7.04916i −0.0883932 + 0.243800i
\(837\) −0.249886 + 1.25626i −0.00863733 + 0.0434228i
\(838\) −4.02935 + 10.3805i −0.139192 + 0.358590i
\(839\) 34.4527 + 14.2708i 1.18944 + 0.492682i 0.887573 0.460667i \(-0.152390\pi\)
0.301868 + 0.953350i \(0.402390\pi\)
\(840\) 0.620280 1.52245i 0.0214017 0.0525294i
\(841\) 17.0687 7.07007i 0.588574 0.243796i
\(842\) −44.2493 + 0.993026i −1.52493 + 0.0342219i
\(843\) 0.978184 0.653602i 0.0336904 0.0225112i
\(844\) −4.36471 + 28.5943i −0.150240 + 0.984255i
\(845\) −18.4220 + 6.33460i −0.633736 + 0.217917i
\(846\) −42.2313 7.41946i −1.45194 0.255086i
\(847\) 31.0402i 1.06656i
\(848\) −13.5526 1.45018i −0.465398 0.0497993i
\(849\) −0.0808324 0.0808324i −0.00277416 0.00277416i
\(850\) 36.3596 + 29.9856i 1.24712 + 1.02850i
\(851\) 51.0860 + 34.1345i 1.75120 + 1.17012i
\(852\) 0.831493 + 0.503150i 0.0284865 + 0.0172376i
\(853\) −20.4928 + 13.6928i −0.701659 + 0.468833i −0.854523 0.519414i \(-0.826150\pi\)
0.152864 + 0.988247i \(0.451150\pi\)
\(854\) 0.326082 + 14.5302i 0.0111583 + 0.497214i
\(855\) 26.0561 + 6.87164i 0.891101 + 0.235005i
\(856\) −11.6762 + 5.78513i −0.399084 + 0.197732i
\(857\) −20.1926 48.7494i −0.689768 1.66525i −0.745248 0.666787i \(-0.767669\pi\)
0.0554806 0.998460i \(-0.482331\pi\)
\(858\) −0.476400 + 0.209974i −0.0162640 + 0.00716840i
\(859\) −7.99355 11.9632i −0.272736 0.408179i 0.669665 0.742663i \(-0.266438\pi\)
−0.942401 + 0.334485i \(0.891438\pi\)
\(860\) 4.80441 6.93775i 0.163829 0.236575i
\(861\) 1.08485 0.215790i 0.0369715 0.00735409i
\(862\) 33.7922 7.51358i 1.15097 0.255913i
\(863\) 18.5629 + 18.5629i 0.631890 + 0.631890i 0.948542 0.316652i \(-0.102559\pi\)
−0.316652 + 0.948542i \(0.602559\pi\)
\(864\) −2.85854 + 0.322050i −0.0972495 + 0.0109564i
\(865\) −5.37433 + 0.729130i −0.182733 + 0.0247911i
\(866\) −22.8460 14.5346i −0.776339 0.493905i
\(867\) −1.93482 1.29281i −0.0657100 0.0439060i
\(868\) 10.4113 11.3903i 0.353381 0.386611i
\(869\) 3.44410 2.30127i 0.116833 0.0780654i
\(870\) −0.455008 0.742167i −0.0154262 0.0251618i
\(871\) −8.57141 3.55040i −0.290431 0.120301i
\(872\) 8.14779 + 7.11860i 0.275919 + 0.241066i
\(873\) 7.74106 18.6886i 0.261995 0.632512i
\(874\) −0.981710 43.7450i −0.0332068 1.47970i
\(875\) −7.07862 33.5086i −0.239301 1.13280i
\(876\) −1.04734 + 1.73081i −0.0353863 + 0.0584786i
\(877\) −7.73927 38.9079i −0.261337 1.31383i −0.858957 0.512049i \(-0.828887\pi\)
0.597620 0.801780i \(-0.296113\pi\)
\(878\) −2.89963 + 16.5046i −0.0978579 + 0.557003i
\(879\) 1.23108 1.23108i 0.0415232 0.0415232i
\(880\) −4.82031 6.79076i −0.162493 0.228916i
\(881\) −13.1168 13.1168i −0.441917 0.441917i 0.450739 0.892656i \(-0.351161\pi\)
−0.892656 + 0.450739i \(0.851161\pi\)
\(882\) −8.25993 + 5.79131i −0.278126 + 0.195004i
\(883\) −46.3009 + 9.20982i −1.55815 + 0.309935i −0.897587 0.440837i \(-0.854682\pi\)
−0.660561 + 0.750772i \(0.729682\pi\)
\(884\) 36.7904 + 50.0453i 1.23739 + 1.68320i
\(885\) 1.65599 + 0.101979i 0.0556656 + 0.00342798i
\(886\) −10.7811 10.3078i −0.362198 0.346298i
\(887\) −10.2223 4.23424i −0.343233 0.142172i 0.204407 0.978886i \(-0.434473\pi\)
−0.547640 + 0.836714i \(0.684473\pi\)
\(888\) 1.17113 + 1.52037i 0.0393004 + 0.0510202i
\(889\) 21.2240 51.2393i 0.711831 1.71851i
\(890\) 20.6304 12.6481i 0.691532 0.423965i
\(891\) −4.62193 6.91720i −0.154840 0.231735i
\(892\) −0.918269 + 2.53271i −0.0307459 + 0.0848014i
\(893\) 22.6636 33.9185i 0.758410 1.13504i
\(894\) −1.73204 + 0.385112i −0.0579280 + 0.0128801i
\(895\) 1.50062 + 1.14209i 0.0501602 + 0.0381758i
\(896\) 31.4730 + 14.5098i 1.05144 + 0.484738i
\(897\) 2.14827 2.14827i 0.0717286 0.0717286i
\(898\) 12.3764 + 7.87383i 0.413006 + 0.262753i
\(899\) −1.59421 8.01463i −0.0531699 0.267303i
\(900\) −22.7495 + 19.4460i −0.758317 + 0.648198i
\(901\) 18.8836 12.6176i 0.629104 0.420354i
\(902\) 2.02753 5.22338i 0.0675093 0.173920i
\(903\) 0.453153 0.187702i 0.0150800 0.00624634i
\(904\) 5.45262 42.0218i 0.181351 1.39762i
\(905\) 27.5222 + 7.25827i 0.914867 + 0.241273i
\(906\) 1.07474 1.12409i 0.0357060 0.0373454i
\(907\) 20.7812 + 31.1013i 0.690029 + 1.03270i 0.996723 + 0.0808927i \(0.0257771\pi\)
−0.306694 + 0.951808i \(0.599223\pi\)
\(908\) 5.70181 37.3539i 0.189221 1.23963i
\(909\) 16.9952 25.4352i 0.563697 0.843632i
\(910\) 1.76288 45.1025i 0.0584388 1.49513i
\(911\) 17.1096 17.1096i 0.566868 0.566868i −0.364382 0.931250i \(-0.618720\pi\)
0.931250 + 0.364382i \(0.118720\pi\)
\(912\) 0.407747 1.30450i 0.0135019 0.0431964i
\(913\) 13.4262 0.444341
\(914\) 2.14302 + 3.05651i 0.0708848 + 0.101100i
\(915\) −0.279294 + 0.572032i −0.00923318 + 0.0189108i
\(916\) 13.2322 + 8.00702i 0.437204 + 0.264559i
\(917\) −23.6119 35.3377i −0.779733 1.16695i
\(918\) 3.31242 3.46451i 0.109326 0.114346i
\(919\) −17.1765 41.4676i −0.566599 1.36789i −0.904405 0.426675i \(-0.859685\pi\)
0.337806 0.941216i \(-0.390315\pi\)
\(920\) 40.5627 + 26.7636i 1.33731 + 0.882368i
\(921\) 1.08742 2.62526i 0.0358317 0.0865053i
\(922\) −10.2548 + 4.51984i −0.337725 + 0.148853i
\(923\) 26.1713 + 5.20580i 0.861440 + 0.171351i
\(924\) −0.0217137 0.483538i −0.000714328 0.0159072i
\(925\) 37.9592 + 12.5522i 1.24809 + 0.412714i
\(926\) −8.69935 + 13.6740i −0.285878 + 0.449355i
\(927\) 39.8030 39.8030i 1.30730 1.30730i
\(928\) 16.0623 8.87710i 0.527271 0.291405i
\(929\) −40.0346 −1.31349 −0.656747 0.754111i \(-0.728068\pi\)
−0.656747 + 0.754111i \(0.728068\pi\)
\(930\) 0.634068 0.234067i 0.0207919 0.00767535i
\(931\) −1.87237 9.41304i −0.0613645 0.308500i
\(932\) 26.1332 1.17354i 0.856022 0.0384404i
\(933\) −0.0624652 + 0.314034i −0.00204502 + 0.0102810i
\(934\) 9.70375 24.9991i 0.317516 0.817996i
\(935\) 13.4173 + 3.53848i 0.438794 + 0.115721i
\(936\) −35.3430 + 17.5112i −1.15522 + 0.572372i
\(937\) 5.97175 + 2.47358i 0.195088 + 0.0808083i 0.478089 0.878312i \(-0.341330\pi\)
−0.283000 + 0.959120i \(0.591330\pi\)
\(938\) 5.96076 6.23444i 0.194626 0.203562i
\(939\) 0.0496062 0.249387i 0.00161884 0.00813844i
\(940\) 16.6395 + 42.1400i 0.542722 + 1.37445i
\(941\) 7.04350 10.5413i 0.229611 0.343638i −0.698717 0.715398i \(-0.746246\pi\)
0.928329 + 0.371760i \(0.121246\pi\)
\(942\) 0.293140 1.66854i 0.00955102 0.0543640i
\(943\) 32.6971i 1.06476i
\(944\) −3.72137 + 34.7780i −0.121120 + 1.13193i
\(945\) −3.45155 + 0.468268i −0.112279 + 0.0152328i
\(946\) 0.429932 2.44715i 0.0139783 0.0795638i
\(947\) 0.555859 + 2.79449i 0.0180630 + 0.0908087i 0.988765 0.149477i \(-0.0477589\pi\)
−0.970702 + 0.240286i \(0.922759\pi\)
\(948\) −0.608329 + 0.447209i −0.0197576 + 0.0145247i
\(949\) −10.8362 + 54.4774i −0.351759 + 1.76841i
\(950\) −8.19998 27.2667i −0.266043 0.884648i
\(951\) 0.215103 + 0.519304i 0.00697519 + 0.0168396i
\(952\) −55.7516 + 15.0500i −1.80692 + 0.487774i
\(953\) 18.3031 + 44.1876i 0.592896 + 1.43138i 0.880694 + 0.473686i \(0.157077\pi\)
−0.287798 + 0.957691i \(0.592923\pi\)
\(954\) 5.81663 + 13.1971i 0.188320 + 0.427271i
\(955\) 1.40560 22.8249i 0.0454840 0.738597i
\(956\) −10.2370 3.71156i −0.331088 0.120040i
\(957\) −0.213115 0.142399i −0.00688903 0.00460310i
\(958\) 14.0028 + 8.90856i 0.452411 + 0.287822i
\(959\) 16.9549 0.547503
\(960\) 0.933274 + 1.19713i 0.0301213 + 0.0386373i
\(961\) −24.6555 −0.795339
\(962\) 44.4576 + 28.2838i 1.43337 + 0.911907i
\(963\) 11.4643 + 7.66023i 0.369433 + 0.246847i
\(964\) 0.0194618 0.0536782i 0.000626821 0.00172886i
\(965\) −1.55083 1.75436i −0.0499228 0.0564750i
\(966\) 1.13919 + 2.58464i 0.0366527 + 0.0831594i
\(967\) 18.3298 + 44.2520i 0.589447 + 1.42305i 0.884033 + 0.467425i \(0.154818\pi\)
−0.294586 + 0.955625i \(0.595182\pi\)
\(968\) 24.8477 + 14.2841i 0.798634 + 0.459109i
\(969\) 0.871507 + 2.10400i 0.0279968 + 0.0675903i
\(970\) −21.1100 + 3.34791i −0.677802 + 0.107495i
\(971\) 10.4605 52.5885i 0.335693 1.68764i −0.332058 0.943259i \(-0.607743\pi\)
0.667751 0.744385i \(-0.267257\pi\)
\(972\) 2.70540 + 3.68010i 0.0867757 + 0.118039i
\(973\) 7.75594 + 38.9917i 0.248644 + 1.25002i
\(974\) −1.59741 + 9.09240i −0.0511844 + 0.291339i
\(975\) 0.974940 1.71985i 0.0312231 0.0550792i
\(976\) −11.7815 6.42550i −0.377116 0.205675i
\(977\) 23.5101i 0.752153i −0.926589 0.376077i \(-0.877273\pi\)
0.926589 0.376077i \(-0.122727\pi\)
\(978\) −0.181923 + 1.03550i −0.00581725 + 0.0331116i
\(979\) 3.95833 5.92406i 0.126509 0.189334i
\(980\) 9.77860 + 4.24227i 0.312366 + 0.135514i
\(981\) 2.23344 11.2283i 0.0713083 0.358491i
\(982\) −35.5353 + 37.1669i −1.13398 + 1.18604i
\(983\) 26.2325 + 10.8658i 0.836686 + 0.346567i 0.759546 0.650454i \(-0.225421\pi\)
0.0771397 + 0.997020i \(0.475421\pi\)
\(984\) −0.326487 + 0.967721i −0.0104080 + 0.0308498i
\(985\) 1.44342 5.47321i 0.0459912 0.174391i
\(986\) −11.0655 + 28.5072i −0.352397 + 0.907855i
\(987\) −0.513734 + 2.58272i −0.0163523 + 0.0822088i
\(988\) −1.68343 37.4879i −0.0535569 1.19265i
\(989\) 2.82866 + 14.2206i 0.0899461 + 0.452189i
\(990\) −3.68744 + 8.00295i −0.117194 + 0.254351i
\(991\) 36.5094 1.15976 0.579880 0.814702i \(-0.303099\pi\)
0.579880 + 0.814702i \(0.303099\pi\)
\(992\) 4.32684 + 13.5758i 0.137377 + 0.431032i
\(993\) 0.107242 0.107242i 0.00340321 0.00340321i
\(994\) −13.3165 + 20.9314i −0.422375 + 0.663905i
\(995\) −15.0015 7.32447i −0.475579 0.232201i
\(996\) −2.44481 + 0.109786i −0.0774668 + 0.00347871i
\(997\) 2.07294 + 0.412334i 0.0656508 + 0.0130588i 0.227806 0.973706i \(-0.426845\pi\)
−0.162156 + 0.986765i \(0.551845\pi\)
\(998\) −16.5696 + 7.30309i −0.524501 + 0.231175i
\(999\) 1.55607 3.75668i 0.0492318 0.118856i
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 320.2.bd.a.43.16 368
5.2 odd 4 320.2.bj.a.107.8 yes 368
64.3 odd 16 320.2.bj.a.3.8 yes 368
320.67 even 16 inner 320.2.bd.a.67.16 yes 368
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
320.2.bd.a.43.16 368 1.1 even 1 trivial
320.2.bd.a.67.16 yes 368 320.67 even 16 inner
320.2.bj.a.3.8 yes 368 64.3 odd 16
320.2.bj.a.107.8 yes 368 5.2 odd 4