Properties

Label 507.2.m.b.40.1
Level $507$
Weight $2$
Character 507.40
Analytic conductor $4.048$
Analytic rank $0$
Dimension $204$
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] = [507,2,Mod(40,507)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(507, base_ring=CyclotomicField(26))
 
chi = DirichletCharacter(H, H._module([0, 2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("507.40");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 507 = 3 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 507.m (of order \(13\), degree \(12\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(4.04841538248\)
Analytic rank: \(0\)
Dimension: \(204\)
Relative dimension: \(17\) over \(\Q(\zeta_{13})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{13}]$

Embedding invariants

Embedding label 40.1
Character \(\chi\) \(=\) 507.40
Dual form 507.2.m.b.469.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-2.61147 - 0.643669i) q^{2} +(0.120537 - 0.992709i) q^{3} +(4.63454 + 2.43240i) q^{4} +(2.12219 - 3.07452i) q^{5} +(-0.953754 + 2.51484i) q^{6} +(1.40227 + 1.24231i) q^{7} +(-6.51088 - 5.76814i) q^{8} +(-0.970942 - 0.239316i) q^{9} +O(q^{10})\) \(q+(-2.61147 - 0.643669i) q^{2} +(0.120537 - 0.992709i) q^{3} +(4.63454 + 2.43240i) q^{4} +(2.12219 - 3.07452i) q^{5} +(-0.953754 + 2.51484i) q^{6} +(1.40227 + 1.24231i) q^{7} +(-6.51088 - 5.76814i) q^{8} +(-0.970942 - 0.239316i) q^{9} +(-7.52100 + 6.66303i) q^{10} +(-5.22623 + 1.28815i) q^{11} +(2.97329 - 4.30756i) q^{12} +(-1.29429 - 3.36524i) q^{13} +(-2.86236 - 4.14684i) q^{14} +(-2.79630 - 2.47731i) q^{15} +(7.34360 + 10.6390i) q^{16} +(-0.866644 - 0.767780i) q^{17} +(2.38154 + 1.24993i) q^{18} -6.22921 q^{19} +(17.3138 - 9.08700i) q^{20} +(1.40227 - 1.24231i) q^{21} +14.4773 q^{22} +5.40105 q^{23} +(-6.51088 + 5.76814i) q^{24} +(-3.17597 - 8.37435i) q^{25} +(1.21389 + 9.62130i) q^{26} +(-0.354605 + 0.935016i) q^{27} +(3.47712 + 9.16841i) q^{28} +(-3.28220 - 0.808990i) q^{29} +(5.70789 + 8.26930i) q^{30} +(2.08959 - 5.50979i) q^{31} +(-6.16053 - 16.2440i) q^{32} +(0.648806 + 5.34340i) q^{33} +(1.76902 + 2.56287i) q^{34} +(6.79539 - 1.67491i) q^{35} +(-3.91776 - 3.47083i) q^{36} +(0.0274000 - 0.0722479i) q^{37} +(16.2674 + 4.00955i) q^{38} +(-3.49671 + 0.879215i) q^{39} +(-31.5516 + 7.77676i) q^{40} +(1.53891 - 12.6741i) q^{41} +(-4.46163 + 2.34164i) q^{42} +(0.817583 + 2.15579i) q^{43} +(-27.3545 - 6.74228i) q^{44} +(-2.79630 + 2.47731i) q^{45} +(-14.1047 - 3.47649i) q^{46} +(-8.55546 + 4.49025i) q^{47} +(11.4466 - 6.00766i) q^{48} +(-0.420710 - 3.46485i) q^{49} +(2.90364 + 23.9136i) q^{50} +(-0.866644 + 0.767780i) q^{51} +(2.18717 - 18.7446i) q^{52} +(4.11484 + 3.64543i) q^{53} +(1.52788 - 2.21352i) q^{54} +(-7.13061 + 18.8019i) q^{55} +(-1.96425 - 16.1770i) q^{56} +(-0.750848 + 6.18379i) q^{57} +(8.05064 + 4.22530i) q^{58} +(-3.76873 + 5.45995i) q^{59} +(-6.93379 - 18.2829i) q^{60} +(-1.87981 + 1.66537i) q^{61} +(-9.00338 + 13.0436i) q^{62} +(-1.06422 - 1.54179i) q^{63} +(2.51583 + 20.7197i) q^{64} +(-13.0932 - 3.16236i) q^{65} +(1.74504 - 14.3717i) q^{66} +(11.3530 - 5.95851i) q^{67} +(-2.14896 - 5.66633i) q^{68} +(0.651025 - 5.36167i) q^{69} -18.8240 q^{70} +(0.00304702 - 0.0250945i) q^{71} +(4.94128 + 7.15868i) q^{72} +(1.08373 - 0.267116i) q^{73} +(-0.118058 + 0.171037i) q^{74} +(-8.69611 + 2.14340i) q^{75} +(-28.8695 - 15.1519i) q^{76} +(-8.92889 - 4.68624i) q^{77} +(9.69747 - 0.0453164i) q^{78} +(-2.67833 + 1.40570i) q^{79} +48.2944 q^{80} +(0.885456 + 0.464723i) q^{81} +(-12.1767 + 32.1074i) q^{82} +(-1.01578 - 8.36573i) q^{83} +(9.52068 - 2.34664i) q^{84} +(-4.19974 + 1.03514i) q^{85} +(-0.747477 - 6.15603i) q^{86} +(-1.19872 + 3.16076i) q^{87} +(41.4576 + 21.7586i) q^{88} +11.7255 q^{89} +(8.89702 - 4.66952i) q^{90} +(2.36571 - 6.32688i) q^{91} +(25.0314 + 13.1375i) q^{92} +(-5.21775 - 2.73849i) q^{93} +(25.2325 - 6.21926i) q^{94} +(-13.2196 + 19.1518i) q^{95} +(-16.8681 + 4.15762i) q^{96} +(-1.11642 - 1.61741i) q^{97} +(-1.13155 + 9.31916i) q^{98} +5.38264 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 204 q - q^{2} - 17 q^{3} - 21 q^{4} - 6 q^{5} - q^{6} - 8 q^{7} - 9 q^{8} - 17 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 204 q - q^{2} - 17 q^{3} - 21 q^{4} - 6 q^{5} - q^{6} - 8 q^{7} - 9 q^{8} - 17 q^{9} - 6 q^{10} - 8 q^{11} - 21 q^{12} + 54 q^{13} - 30 q^{14} - 6 q^{15} - 45 q^{16} - 18 q^{17} - q^{18} - 20 q^{19} - 58 q^{20} - 8 q^{21} + 44 q^{22} + 40 q^{23} - 9 q^{24} + 7 q^{25} - 2 q^{26} - 17 q^{27} - 40 q^{28} + 11 q^{29} - 6 q^{30} + 2 q^{31} + 61 q^{32} + 5 q^{33} - q^{34} + 11 q^{35} - 21 q^{36} - 34 q^{37} + 17 q^{38} - 11 q^{39} - 31 q^{40} - 58 q^{41} + 35 q^{42} + 32 q^{43} - 41 q^{44} - 6 q^{45} + 76 q^{46} - 36 q^{47} - 45 q^{48} + 9 q^{49} - 35 q^{50} - 18 q^{51} - 24 q^{52} + 66 q^{53} - q^{54} + 7 q^{55} - 114 q^{56} - 7 q^{57} - 60 q^{58} + 40 q^{59} + 59 q^{60} - 54 q^{61} - 31 q^{62} - 8 q^{63} + 75 q^{64} - 26 q^{65} + 18 q^{66} + 2 q^{67} + 26 q^{68} - 12 q^{69} - 56 q^{70} - 37 q^{71} - 9 q^{72} + 70 q^{73} + 174 q^{74} - 45 q^{75} - 26 q^{76} + 24 q^{78} - 66 q^{79} + 126 q^{80} - 17 q^{81} - 17 q^{82} - 2 q^{83} - 40 q^{84} + 54 q^{85} + 61 q^{86} + 24 q^{87} + 94 q^{88} - 114 q^{89} - 6 q^{90} + 104 q^{91} - 78 q^{92} + 67 q^{93} - 63 q^{94} - 70 q^{95} - 4 q^{96} + 36 q^{97} - 65 q^{98} + 18 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).

\(n\) \(170\) \(340\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{13}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.61147 0.643669i −1.84659 0.455143i −0.849244 0.528000i \(-0.822942\pi\)
−0.997342 + 0.0728572i \(0.976788\pi\)
\(3\) 0.120537 0.992709i 0.0695919 0.573141i
\(4\) 4.63454 + 2.43240i 2.31727 + 1.21620i
\(5\) 2.12219 3.07452i 0.949072 1.37497i 0.0221329 0.999755i \(-0.492954\pi\)
0.926939 0.375213i \(-0.122430\pi\)
\(6\) −0.953754 + 2.51484i −0.389368 + 1.02668i
\(7\) 1.40227 + 1.24231i 0.530010 + 0.469548i 0.885177 0.465255i \(-0.154037\pi\)
−0.355167 + 0.934803i \(0.615576\pi\)
\(8\) −6.51088 5.76814i −2.30194 2.03934i
\(9\) −0.970942 0.239316i −0.323647 0.0797719i
\(10\) −7.52100 + 6.66303i −2.37835 + 2.10703i
\(11\) −5.22623 + 1.28815i −1.57577 + 0.388392i −0.927741 0.373225i \(-0.878252\pi\)
−0.648028 + 0.761617i \(0.724406\pi\)
\(12\) 2.97329 4.30756i 0.858316 1.24349i
\(13\) −1.29429 3.36524i −0.358970 0.933349i
\(14\) −2.86236 4.14684i −0.764998 1.10829i
\(15\) −2.79630 2.47731i −0.722002 0.639638i
\(16\) 7.34360 + 10.6390i 1.83590 + 2.65976i
\(17\) −0.866644 0.767780i −0.210192 0.186214i 0.551458 0.834203i \(-0.314072\pi\)
−0.761650 + 0.647989i \(0.775610\pi\)
\(18\) 2.38154 + 1.24993i 0.561335 + 0.294611i
\(19\) −6.22921 −1.42908 −0.714539 0.699595i \(-0.753364\pi\)
−0.714539 + 0.699595i \(0.753364\pi\)
\(20\) 17.3138 9.08700i 3.87149 2.03191i
\(21\) 1.40227 1.24231i 0.306001 0.271093i
\(22\) 14.4773 3.08657
\(23\) 5.40105 1.12620 0.563099 0.826390i \(-0.309609\pi\)
0.563099 + 0.826390i \(0.309609\pi\)
\(24\) −6.51088 + 5.76814i −1.32903 + 1.17742i
\(25\) −3.17597 8.37435i −0.635194 1.67487i
\(26\) 1.21389 + 9.62130i 0.238063 + 1.88689i
\(27\) −0.354605 + 0.935016i −0.0682437 + 0.179944i
\(28\) 3.47712 + 9.16841i 0.657114 + 1.73267i
\(29\) −3.28220 0.808990i −0.609490 0.150226i −0.0775223 0.996991i \(-0.524701\pi\)
−0.531967 + 0.846765i \(0.678547\pi\)
\(30\) 5.70789 + 8.26930i 1.04211 + 1.50976i
\(31\) 2.08959 5.50979i 0.375301 0.989588i −0.605718 0.795679i \(-0.707114\pi\)
0.981020 0.193909i \(-0.0621166\pi\)
\(32\) −6.16053 16.2440i −1.08904 2.87156i
\(33\) 0.648806 + 5.34340i 0.112943 + 0.930166i
\(34\) 1.76902 + 2.56287i 0.303384 + 0.439528i
\(35\) 6.79539 1.67491i 1.14863 0.283112i
\(36\) −3.91776 3.47083i −0.652960 0.578472i
\(37\) 0.0274000 0.0722479i 0.00450454 0.0118775i −0.932745 0.360536i \(-0.882594\pi\)
0.937250 + 0.348659i \(0.113363\pi\)
\(38\) 16.2674 + 4.00955i 2.63892 + 0.650435i
\(39\) −3.49671 + 0.879215i −0.559922 + 0.140787i
\(40\) −31.5516 + 7.77676i −4.98874 + 1.22961i
\(41\) 1.53891 12.6741i 0.240338 1.97936i 0.0426726 0.999089i \(-0.486413\pi\)
0.197665 0.980270i \(-0.436664\pi\)
\(42\) −4.46163 + 2.34164i −0.688444 + 0.361323i
\(43\) 0.817583 + 2.15579i 0.124680 + 0.328755i 0.982794 0.184705i \(-0.0591329\pi\)
−0.858114 + 0.513460i \(0.828364\pi\)
\(44\) −27.3545 6.74228i −4.12385 1.01644i
\(45\) −2.79630 + 2.47731i −0.416848 + 0.369295i
\(46\) −14.1047 3.47649i −2.07962 0.512581i
\(47\) −8.55546 + 4.49025i −1.24794 + 0.654970i −0.953700 0.300761i \(-0.902759\pi\)
−0.294242 + 0.955731i \(0.595067\pi\)
\(48\) 11.4466 6.00766i 1.65218 0.867131i
\(49\) −0.420710 3.46485i −0.0601014 0.494979i
\(50\) 2.90364 + 23.9136i 0.410637 + 3.38190i
\(51\) −0.866644 + 0.767780i −0.121354 + 0.107511i
\(52\) 2.18717 18.7446i 0.303305 2.59940i
\(53\) 4.11484 + 3.64543i 0.565216 + 0.500738i 0.896650 0.442741i \(-0.145994\pi\)
−0.331433 + 0.943479i \(0.607532\pi\)
\(54\) 1.52788 2.21352i 0.207918 0.301221i
\(55\) −7.13061 + 18.8019i −0.961491 + 2.53524i
\(56\) −1.96425 16.1770i −0.262483 2.16174i
\(57\) −0.750848 + 6.18379i −0.0994523 + 0.819063i
\(58\) 8.05064 + 4.22530i 1.05710 + 0.554810i
\(59\) −3.76873 + 5.45995i −0.490647 + 0.710824i −0.987607 0.156949i \(-0.949834\pi\)
0.496960 + 0.867773i \(0.334450\pi\)
\(60\) −6.93379 18.2829i −0.895149 2.36031i
\(61\) −1.87981 + 1.66537i −0.240685 + 0.213228i −0.774839 0.632159i \(-0.782169\pi\)
0.534153 + 0.845388i \(0.320630\pi\)
\(62\) −9.00338 + 13.0436i −1.14343 + 1.65654i
\(63\) −1.06422 1.54179i −0.134079 0.194248i
\(64\) 2.51583 + 20.7197i 0.314478 + 2.58996i
\(65\) −13.0932 3.16236i −1.62401 0.392242i
\(66\) 1.74504 14.3717i 0.214800 1.76904i
\(67\) 11.3530 5.95851i 1.38699 0.727948i 0.404547 0.914517i \(-0.367429\pi\)
0.982442 + 0.186569i \(0.0597369\pi\)
\(68\) −2.14896 5.66633i −0.260599 0.687144i
\(69\) 0.651025 5.36167i 0.0783742 0.645470i
\(70\) −18.8240 −2.24990
\(71\) 0.00304702 0.0250945i 0.000361615 0.00297817i −0.992527 0.122026i \(-0.961061\pi\)
0.992889 + 0.119047i \(0.0379841\pi\)
\(72\) 4.94128 + 7.15868i 0.582336 + 0.843659i
\(73\) 1.08373 0.267116i 0.126841 0.0312635i −0.175384 0.984500i \(-0.556117\pi\)
0.302225 + 0.953237i \(0.402271\pi\)
\(74\) −0.118058 + 0.171037i −0.0137240 + 0.0198826i
\(75\) −8.69611 + 2.14340i −1.00414 + 0.247498i
\(76\) −28.8695 15.1519i −3.31156 1.73804i
\(77\) −8.92889 4.68624i −1.01754 0.534047i
\(78\) 9.69747 0.0453164i 1.09802 0.00513108i
\(79\) −2.67833 + 1.40570i −0.301336 + 0.158153i −0.608614 0.793466i \(-0.708274\pi\)
0.307278 + 0.951620i \(0.400582\pi\)
\(80\) 48.2944 5.39948
\(81\) 0.885456 + 0.464723i 0.0983840 + 0.0516359i
\(82\) −12.1767 + 32.1074i −1.34470 + 3.54567i
\(83\) −1.01578 8.36573i −0.111497 0.918258i −0.935903 0.352259i \(-0.885414\pi\)
0.824406 0.565999i \(-0.191509\pi\)
\(84\) 9.52068 2.34664i 1.03879 0.256039i
\(85\) −4.19974 + 1.03514i −0.455526 + 0.112277i
\(86\) −0.747477 6.15603i −0.0806025 0.663822i
\(87\) −1.19872 + 3.16076i −0.128516 + 0.338869i
\(88\) 41.4576 + 21.7586i 4.41940 + 2.31948i
\(89\) 11.7255 1.24290 0.621448 0.783455i \(-0.286545\pi\)
0.621448 + 0.783455i \(0.286545\pi\)
\(90\) 8.89702 4.66952i 0.937829 0.492210i
\(91\) 2.36571 6.32688i 0.247994 0.663238i
\(92\) 25.0314 + 13.1375i 2.60971 + 1.36968i
\(93\) −5.21775 2.73849i −0.541055 0.283968i
\(94\) 25.2325 6.21926i 2.60254 0.641468i
\(95\) −13.2196 + 19.1518i −1.35630 + 1.96494i
\(96\) −16.8681 + 4.15762i −1.72159 + 0.424335i
\(97\) −1.11642 1.61741i −0.113355 0.164223i 0.762200 0.647342i \(-0.224119\pi\)
−0.875555 + 0.483118i \(0.839504\pi\)
\(98\) −1.13155 + 9.31916i −0.114304 + 0.941377i
\(99\) 5.38264 0.540976
\(100\) 5.65055 46.5365i 0.565055 4.65365i
\(101\) 3.16475 + 8.34476i 0.314904 + 0.830334i 0.995242 + 0.0974355i \(0.0310640\pi\)
−0.680338 + 0.732899i \(0.738167\pi\)
\(102\) 2.75741 1.44720i 0.273024 0.143294i
\(103\) −0.329531 + 2.71393i −0.0324696 + 0.267411i 0.967429 + 0.253144i \(0.0814647\pi\)
−0.999898 + 0.0142673i \(0.995458\pi\)
\(104\) −10.9842 + 29.3763i −1.07709 + 2.88058i
\(105\) −0.843607 6.94773i −0.0823276 0.678029i
\(106\) −8.39931 12.1685i −0.815814 1.18191i
\(107\) 4.63441 6.71410i 0.448025 0.649076i −0.532279 0.846569i \(-0.678664\pi\)
0.980304 + 0.197492i \(0.0632798\pi\)
\(108\) −3.91776 + 3.47083i −0.376987 + 0.333981i
\(109\) −1.47909 3.90004i −0.141671 0.373556i 0.845336 0.534236i \(-0.179401\pi\)
−0.987007 + 0.160680i \(0.948631\pi\)
\(110\) 30.7235 44.5107i 2.92937 4.24393i
\(111\) −0.0684185 0.0359088i −0.00649399 0.00340831i
\(112\) −2.91921 + 24.0418i −0.275839 + 2.27174i
\(113\) 0.230800 + 1.90081i 0.0217118 + 0.178813i 0.999530 0.0306405i \(-0.00975469\pi\)
−0.977819 + 0.209453i \(0.932832\pi\)
\(114\) 5.94113 15.6655i 0.556438 1.46721i
\(115\) 11.4621 16.6057i 1.06884 1.54849i
\(116\) −13.2437 11.7329i −1.22965 1.08937i
\(117\) 0.451322 + 3.57719i 0.0417248 + 0.330712i
\(118\) 13.3563 11.8327i 1.22955 1.08928i
\(119\) −0.261455 2.15328i −0.0239675 0.197390i
\(120\) 3.91694 + 32.2589i 0.357566 + 2.94482i
\(121\) 15.9142 8.35239i 1.44674 0.759309i
\(122\) 5.98101 3.13908i 0.541495 0.284199i
\(123\) −12.3962 3.05538i −1.11773 0.275495i
\(124\) 23.0863 20.4527i 2.07321 1.83670i
\(125\) −14.3508 3.53715i −1.28357 0.316372i
\(126\) 1.78678 + 4.71135i 0.159179 + 0.419721i
\(127\) 8.75784 4.59647i 0.777132 0.407870i −0.0290199 0.999579i \(-0.509239\pi\)
0.806152 + 0.591708i \(0.201546\pi\)
\(128\) 2.57847 21.2356i 0.227907 1.87698i
\(129\) 2.23862 0.551770i 0.197100 0.0485807i
\(130\) 32.1570 + 16.6861i 2.82036 + 1.46347i
\(131\) −6.07066 1.49628i −0.530396 0.130731i −0.0349820 0.999388i \(-0.511137\pi\)
−0.495414 + 0.868657i \(0.664984\pi\)
\(132\) −9.99034 + 26.3424i −0.869547 + 2.29281i
\(133\) −8.73506 7.73858i −0.757425 0.671020i
\(134\) −33.4833 + 8.25289i −2.89252 + 0.712941i
\(135\) 2.12219 + 3.07452i 0.182649 + 0.264613i
\(136\) 1.21396 + 9.99785i 0.104096 + 0.857308i
\(137\) 1.89889 + 5.00696i 0.162233 + 0.427774i 0.991341 0.131316i \(-0.0419202\pi\)
−0.829108 + 0.559089i \(0.811151\pi\)
\(138\) −5.15128 + 13.5828i −0.438506 + 1.15624i
\(139\) 3.11898 + 4.51863i 0.264549 + 0.383265i 0.932636 0.360818i \(-0.117502\pi\)
−0.668088 + 0.744083i \(0.732887\pi\)
\(140\) 35.5676 + 8.76662i 3.00601 + 0.740914i
\(141\) 3.42627 + 9.03432i 0.288544 + 0.760827i
\(142\) −0.0241097 + 0.0635722i −0.00202324 + 0.00533486i
\(143\) 11.0992 + 15.9203i 0.928159 + 1.33132i
\(144\) −4.58412 12.0873i −0.382010 1.00728i
\(145\) −9.45271 + 8.37437i −0.785005 + 0.695453i
\(146\) −3.00206 −0.248453
\(147\) −3.49030 −0.287875
\(148\) 0.302722 0.268189i 0.0248836 0.0220450i
\(149\) −15.0666 + 7.90756i −1.23430 + 0.647813i −0.950397 0.311039i \(-0.899323\pi\)
−0.283907 + 0.958852i \(0.591631\pi\)
\(150\) 24.0893 1.96688
\(151\) 8.08530 + 4.24349i 0.657972 + 0.345330i 0.760442 0.649406i \(-0.224982\pi\)
−0.102470 + 0.994736i \(0.532675\pi\)
\(152\) 40.5576 + 35.9309i 3.28966 + 2.91438i
\(153\) 0.657720 + 0.952871i 0.0531735 + 0.0770351i
\(154\) 20.3011 + 17.9852i 1.63591 + 1.44929i
\(155\) −12.5055 18.1173i −1.00446 1.45522i
\(156\) −18.3443 4.43063i −1.46872 0.354734i
\(157\) 0.885475 1.28283i 0.0706686 0.102381i −0.786056 0.618155i \(-0.787880\pi\)
0.856725 + 0.515774i \(0.172496\pi\)
\(158\) 7.89919 1.94697i 0.628426 0.154893i
\(159\) 4.11484 3.64543i 0.326328 0.289101i
\(160\) −63.0163 15.5321i −4.98187 1.22792i
\(161\) 7.57376 + 6.70976i 0.596896 + 0.528803i
\(162\) −2.01321 1.78355i −0.158173 0.140129i
\(163\) 1.93275 5.09623i 0.151384 0.399168i −0.837775 0.546016i \(-0.816144\pi\)
0.989159 + 0.146848i \(0.0469129\pi\)
\(164\) 37.9605 54.9953i 2.96422 4.29441i
\(165\) 17.8053 + 9.34493i 1.38614 + 0.727502i
\(166\) −2.73208 + 22.5007i −0.212050 + 1.74639i
\(167\) 2.41696 + 0.595727i 0.187030 + 0.0460987i 0.331718 0.943379i \(-0.392372\pi\)
−0.144688 + 0.989477i \(0.546218\pi\)
\(168\) −16.2958 −1.25725
\(169\) −9.64965 + 8.71116i −0.742281 + 0.670089i
\(170\) 11.6338 0.892270
\(171\) 6.04820 + 1.49075i 0.462517 + 0.114000i
\(172\) −1.45461 + 11.9798i −0.110913 + 0.913450i
\(173\) 0.890906 + 0.467584i 0.0677343 + 0.0355497i 0.498250 0.867033i \(-0.333976\pi\)
−0.430516 + 0.902583i \(0.641668\pi\)
\(174\) 5.16489 7.48264i 0.391550 0.567258i
\(175\) 5.94992 15.6887i 0.449772 1.18595i
\(176\) −52.0840 46.1424i −3.92598 3.47812i
\(177\) 4.96587 + 4.39937i 0.373257 + 0.330677i
\(178\) −30.6207 7.54732i −2.29512 0.565696i
\(179\) −9.53955 + 8.45131i −0.713020 + 0.631680i −0.939585 0.342316i \(-0.888789\pi\)
0.226565 + 0.973996i \(0.427250\pi\)
\(180\) −18.9854 + 4.67948i −1.41509 + 0.348788i
\(181\) 3.40324 4.93045i 0.252961 0.366477i −0.675845 0.737044i \(-0.736221\pi\)
0.928806 + 0.370567i \(0.120836\pi\)
\(182\) −10.2504 + 14.9997i −0.759810 + 1.11185i
\(183\) 1.42664 + 2.06684i 0.105460 + 0.152785i
\(184\) −35.1656 31.1540i −2.59244 2.29670i
\(185\) −0.163980 0.237566i −0.0120560 0.0174662i
\(186\) 11.8633 + 10.5100i 0.869860 + 0.770628i
\(187\) 5.51830 + 2.89623i 0.403538 + 0.211793i
\(188\) −50.5727 −3.68839
\(189\) −1.65883 + 0.870621i −0.120662 + 0.0633284i
\(190\) 46.8499 41.5054i 3.39885 3.01112i
\(191\) 1.38212 0.100007 0.0500033 0.998749i \(-0.484077\pi\)
0.0500033 + 0.998749i \(0.484077\pi\)
\(192\) 20.8719 1.50630
\(193\) −4.01235 + 3.55463i −0.288815 + 0.255868i −0.795072 0.606515i \(-0.792567\pi\)
0.506257 + 0.862383i \(0.331029\pi\)
\(194\) 1.87442 + 4.94243i 0.134575 + 0.354846i
\(195\) −4.71752 + 12.6166i −0.337828 + 0.903491i
\(196\) 6.47810 17.0814i 0.462722 1.22010i
\(197\) −1.08090 2.85009i −0.0770107 0.203061i 0.890982 0.454038i \(-0.150017\pi\)
−0.967993 + 0.250978i \(0.919248\pi\)
\(198\) −14.0566 3.46464i −0.998959 0.246221i
\(199\) 0.162401 + 0.235278i 0.0115123 + 0.0166784i 0.828698 0.559696i \(-0.189082\pi\)
−0.817185 + 0.576375i \(0.804467\pi\)
\(200\) −27.6260 + 72.8438i −1.95345 + 5.15084i
\(201\) −4.54661 11.9884i −0.320693 0.845599i
\(202\) −2.89338 23.8291i −0.203577 1.67661i
\(203\) −3.59753 5.21193i −0.252497 0.365805i
\(204\) −5.88405 + 1.45029i −0.411966 + 0.101540i
\(205\) −35.7009 31.6282i −2.49346 2.20901i
\(206\) 2.60743 6.87523i 0.181668 0.479020i
\(207\) −5.24411 1.29256i −0.364491 0.0898389i
\(208\) 26.2982 38.4829i 1.82345 2.66831i
\(209\) 32.5553 8.02416i 2.25190 0.555043i
\(210\) −2.26899 + 18.6868i −0.156575 + 1.28951i
\(211\) 6.88323 3.61260i 0.473861 0.248701i −0.210847 0.977519i \(-0.567622\pi\)
0.684708 + 0.728818i \(0.259930\pi\)
\(212\) 10.2033 + 26.9038i 0.700763 + 1.84776i
\(213\) −0.0245442 0.00604961i −0.00168174 0.000414513i
\(214\) −16.4243 + 14.5506i −1.12274 + 0.994660i
\(215\) 8.36309 + 2.06132i 0.570358 + 0.140581i
\(216\) 7.70209 4.04237i 0.524061 0.275048i
\(217\) 9.77502 5.13033i 0.663572 0.348269i
\(218\) 1.35226 + 11.1369i 0.0915866 + 0.754283i
\(219\) −0.134539 1.10803i −0.00909129 0.0748735i
\(220\) −78.7807 + 69.7936i −5.31139 + 4.70548i
\(221\) −1.46208 + 3.91019i −0.0983499 + 0.263028i
\(222\) 0.155559 + 0.137813i 0.0104405 + 0.00924944i
\(223\) 10.1651 14.7266i 0.680702 0.986168i −0.318565 0.947901i \(-0.603201\pi\)
0.999268 0.0382668i \(-0.0121837\pi\)
\(224\) 11.5412 30.4318i 0.771132 2.03331i
\(225\) 1.07957 + 8.89106i 0.0719714 + 0.592738i
\(226\) 0.620764 5.11245i 0.0412926 0.340075i
\(227\) 16.7828 + 8.80830i 1.11391 + 0.584627i 0.918233 0.396041i \(-0.129616\pi\)
0.195681 + 0.980668i \(0.437308\pi\)
\(228\) −18.5213 + 26.8327i −1.22660 + 1.77704i
\(229\) 4.56855 + 12.0463i 0.301899 + 0.796041i 0.997020 + 0.0771484i \(0.0245815\pi\)
−0.695121 + 0.718893i \(0.744649\pi\)
\(230\) −40.6213 + 35.9874i −2.67849 + 2.37294i
\(231\) −5.72833 + 8.29892i −0.376897 + 0.546029i
\(232\) 16.7037 + 24.1994i 1.09665 + 1.58877i
\(233\) −3.37086 27.7615i −0.220832 1.81872i −0.508586 0.861011i \(-0.669831\pi\)
0.287754 0.957705i \(-0.407092\pi\)
\(234\) 1.12391 9.63223i 0.0734726 0.629678i
\(235\) −4.35093 + 35.8331i −0.283823 + 2.33749i
\(236\) −30.7471 + 16.1373i −2.00146 + 1.05045i
\(237\) 1.07261 + 2.82824i 0.0696736 + 0.183714i
\(238\) −0.703216 + 5.79150i −0.0455827 + 0.375407i
\(239\) 9.70895 0.628020 0.314010 0.949420i \(-0.398327\pi\)
0.314010 + 0.949420i \(0.398327\pi\)
\(240\) 5.82125 47.9423i 0.375760 3.09466i
\(241\) −7.42546 10.7576i −0.478316 0.692961i 0.507336 0.861748i \(-0.330630\pi\)
−0.985652 + 0.168788i \(0.946015\pi\)
\(242\) −46.9355 + 11.5686i −3.01713 + 0.743655i
\(243\) 0.568065 0.822984i 0.0364414 0.0527944i
\(244\) −12.7629 + 3.14577i −0.817061 + 0.201387i
\(245\) −11.5456 6.05960i −0.737621 0.387133i
\(246\) 30.4056 + 15.9581i 1.93859 + 1.01745i
\(247\) 8.06238 + 20.9628i 0.512997 + 1.33383i
\(248\) −45.3863 + 23.8206i −2.88203 + 1.51261i
\(249\) −8.42718 −0.534051
\(250\) 35.1999 + 18.4743i 2.22624 + 1.16842i
\(251\) 5.81615 15.3359i 0.367112 0.967996i −0.616445 0.787398i \(-0.711428\pi\)
0.983557 0.180598i \(-0.0578031\pi\)
\(252\) −1.18194 9.73412i −0.0744550 0.613192i
\(253\) −28.2272 + 6.95737i −1.77463 + 0.437406i
\(254\) −25.8294 + 6.36638i −1.62068 + 0.399462i
\(255\) 0.521373 + 4.29389i 0.0326496 + 0.268894i
\(256\) −5.59979 + 14.7654i −0.349987 + 0.922839i
\(257\) 22.1283 + 11.6138i 1.38032 + 0.724450i 0.981299 0.192489i \(-0.0616561\pi\)
0.399026 + 0.916940i \(0.369348\pi\)
\(258\) −6.20124 −0.386073
\(259\) 0.128176 0.0672722i 0.00796450 0.00418009i
\(260\) −52.9890 46.5040i −3.28624 2.88405i
\(261\) 2.99322 + 1.57096i 0.185276 + 0.0972403i
\(262\) 14.8902 + 7.81499i 0.919921 + 0.482812i
\(263\) 28.8460 7.10989i 1.77872 0.438415i 0.793338 0.608782i \(-0.208342\pi\)
0.985381 + 0.170367i \(0.0544954\pi\)
\(264\) 26.5971 38.5326i 1.63694 2.37152i
\(265\) 19.9404 4.91487i 1.22493 0.301918i
\(266\) 17.8302 + 25.8316i 1.09324 + 1.58383i
\(267\) 1.41335 11.6400i 0.0864955 0.712355i
\(268\) 67.1094 4.09936
\(269\) 3.40752 28.0635i 0.207760 1.71106i −0.399646 0.916670i \(-0.630867\pi\)
0.607407 0.794391i \(-0.292210\pi\)
\(270\) −3.56305 9.39500i −0.216841 0.571762i
\(271\) −12.6108 + 6.61865i −0.766050 + 0.402054i −0.802019 0.597299i \(-0.796241\pi\)
0.0359687 + 0.999353i \(0.488548\pi\)
\(272\) 1.80415 14.8585i 0.109393 0.900931i
\(273\) −5.99560 3.11109i −0.362870 0.188291i
\(274\) −1.73606 14.2978i −0.104879 0.863760i
\(275\) 27.3858 + 39.6752i 1.65142 + 2.39250i
\(276\) 16.0589 23.2654i 0.966633 1.40041i
\(277\) −4.70153 + 4.16519i −0.282488 + 0.250262i −0.792453 0.609932i \(-0.791197\pi\)
0.509966 + 0.860195i \(0.329658\pi\)
\(278\) −5.23663 13.8078i −0.314072 0.828140i
\(279\) −3.34745 + 4.84962i −0.200406 + 0.290339i
\(280\) −53.9051 28.2916i −3.22144 1.69074i
\(281\) −1.05602 + 8.69713i −0.0629970 + 0.518827i 0.926716 + 0.375762i \(0.122619\pi\)
−0.989713 + 0.143065i \(0.954304\pi\)
\(282\) −3.13247 25.7982i −0.186536 1.53626i
\(283\) −4.78583 + 12.6192i −0.284488 + 0.750133i 0.714249 + 0.699892i \(0.246768\pi\)
−0.998737 + 0.0502417i \(0.984001\pi\)
\(284\) 0.0751613 0.108890i 0.00446000 0.00646143i
\(285\) 17.4188 + 15.4317i 1.03180 + 0.914093i
\(286\) −18.7377 48.7195i −1.10799 2.88084i
\(287\) 17.9031 15.8607i 1.05678 0.936229i
\(288\) 2.09408 + 17.2463i 0.123395 + 1.01625i
\(289\) −1.88754 15.5453i −0.111032 0.914427i
\(290\) 30.0758 15.7850i 1.76611 0.926926i
\(291\) −1.74019 + 0.913323i −0.102012 + 0.0535399i
\(292\) 5.67233 + 1.39810i 0.331948 + 0.0818179i
\(293\) 19.8886 17.6197i 1.16190 1.02936i 0.162814 0.986657i \(-0.447943\pi\)
0.999088 0.0426982i \(-0.0135954\pi\)
\(294\) 9.11481 + 2.24660i 0.531587 + 0.131024i
\(295\) 8.78876 + 23.1741i 0.511702 + 1.34925i
\(296\) −0.595134 + 0.312351i −0.0345915 + 0.0181550i
\(297\) 0.648806 5.34340i 0.0376475 0.310055i
\(298\) 44.4358 10.9524i 2.57410 0.634458i
\(299\) −6.99051 18.1758i −0.404271 1.05114i
\(300\) −45.5161 11.2187i −2.62787 0.647713i
\(301\) −1.53168 + 4.03870i −0.0882843 + 0.232787i
\(302\) −18.3831 16.2860i −1.05783 0.937154i
\(303\) 8.66538 2.13583i 0.497813 0.122700i
\(304\) −45.7448 66.2728i −2.62364 3.80101i
\(305\) 1.13089 + 9.31374i 0.0647548 + 0.533303i
\(306\) −1.10428 2.91175i −0.0631275 0.166453i
\(307\) 2.86174 7.54580i 0.163328 0.430662i −0.828219 0.560404i \(-0.810646\pi\)
0.991548 + 0.129743i \(0.0414151\pi\)
\(308\) −29.9825 43.4372i −1.70841 2.47506i
\(309\) 2.65442 + 0.654256i 0.151005 + 0.0372193i
\(310\) 20.9961 + 55.3621i 1.19250 + 3.14436i
\(311\) −9.47993 + 24.9965i −0.537557 + 1.41742i 0.341126 + 0.940018i \(0.389192\pi\)
−0.878683 + 0.477405i \(0.841577\pi\)
\(312\) 27.8381 + 14.4450i 1.57602 + 0.817789i
\(313\) −4.54642 11.9879i −0.256979 0.677597i −0.999966 0.00829114i \(-0.997361\pi\)
0.742987 0.669306i \(-0.233408\pi\)
\(314\) −3.13811 + 2.78012i −0.177094 + 0.156891i
\(315\) −6.99876 −0.394335
\(316\) −15.8321 −0.890623
\(317\) −5.32700 + 4.71931i −0.299194 + 0.265063i −0.799341 0.600878i \(-0.794818\pi\)
0.500147 + 0.865941i \(0.333279\pi\)
\(318\) −13.0922 + 6.87132i −0.734175 + 0.385325i
\(319\) 18.1957 1.01876
\(320\) 69.0422 + 36.2361i 3.85958 + 2.02566i
\(321\) −6.10653 5.40991i −0.340833 0.301952i
\(322\) −15.4598 22.3973i −0.861539 1.24815i
\(323\) 5.39851 + 4.78266i 0.300381 + 0.266114i
\(324\) 2.97329 + 4.30756i 0.165183 + 0.239309i
\(325\) −24.0711 + 21.5267i −1.33522 + 1.19409i
\(326\) −8.32759 + 12.0646i −0.461223 + 0.668197i
\(327\) −4.04988 + 0.998207i −0.223959 + 0.0552010i
\(328\) −83.1255 + 73.6428i −4.58984 + 4.06624i
\(329\) −17.5754 4.33194i −0.968961 0.238827i
\(330\) −40.4829 35.8647i −2.22851 1.97429i
\(331\) −5.47301 4.84867i −0.300824 0.266507i 0.499184 0.866496i \(-0.333633\pi\)
−0.800008 + 0.599989i \(0.795172\pi\)
\(332\) 15.6411 41.2421i 0.858416 2.26346i
\(333\) −0.0438939 + 0.0635913i −0.00240537 + 0.00348478i
\(334\) −5.92836 3.11144i −0.324386 0.170251i
\(335\) 5.77363 47.5501i 0.315447 2.59794i
\(336\) 23.5147 + 5.79585i 1.28283 + 0.316189i
\(337\) 4.49712 0.244974 0.122487 0.992470i \(-0.460913\pi\)
0.122487 + 0.992470i \(0.460913\pi\)
\(338\) 30.8069 16.5377i 1.67567 0.899534i
\(339\) 1.91477 0.103996
\(340\) −21.9817 5.41801i −1.19213 0.293833i
\(341\) −3.82323 + 31.4872i −0.207040 + 1.70513i
\(342\) −14.8351 7.78608i −0.802192 0.421023i
\(343\) 11.1640 16.1739i 0.602801 0.873307i
\(344\) 7.11170 18.7520i 0.383437 1.01104i
\(345\) −15.1030 13.3801i −0.813117 0.720359i
\(346\) −2.02560 1.79453i −0.108897 0.0964744i
\(347\) 7.33362 + 1.80758i 0.393689 + 0.0970357i 0.431191 0.902261i \(-0.358094\pi\)
−0.0375012 + 0.999297i \(0.511940\pi\)
\(348\) −13.2437 + 11.7329i −0.709938 + 0.628950i
\(349\) 2.76401 0.681267i 0.147954 0.0364674i −0.164643 0.986353i \(-0.552647\pi\)
0.312597 + 0.949886i \(0.398801\pi\)
\(350\) −25.6363 + 37.1406i −1.37032 + 1.98525i
\(351\) 3.60551 0.0168486i 0.192448 0.000899313i
\(352\) 53.1210 + 76.9591i 2.83136 + 4.10193i
\(353\) 16.3797 + 14.5112i 0.871804 + 0.772351i 0.974976 0.222312i \(-0.0713604\pi\)
−0.103171 + 0.994664i \(0.532899\pi\)
\(354\) −10.1365 14.6852i −0.538747 0.780509i
\(355\) −0.0706872 0.0626234i −0.00375169 0.00332370i
\(356\) 54.3422 + 28.5210i 2.88013 + 1.51161i
\(357\) −2.16909 −0.114800
\(358\) 30.3521 15.9300i 1.60416 0.841927i
\(359\) 3.93765 3.48845i 0.207821 0.184113i −0.552791 0.833320i \(-0.686437\pi\)
0.760612 + 0.649206i \(0.224899\pi\)
\(360\) 32.4958 1.71268
\(361\) 19.8030 1.04227
\(362\) −12.0610 + 10.6851i −0.633914 + 0.561599i
\(363\) −6.37326 16.8049i −0.334509 0.882028i
\(364\) 26.3535 23.5679i 1.38130 1.23529i
\(365\) 1.47863 3.89883i 0.0773950 0.204074i
\(366\) −2.39526 6.31578i −0.125202 0.330131i
\(367\) 17.7761 + 4.38142i 0.927905 + 0.228708i 0.674179 0.738568i \(-0.264498\pi\)
0.253726 + 0.967276i \(0.418344\pi\)
\(368\) 39.6632 + 57.4620i 2.06759 + 2.99541i
\(369\) −4.52730 + 11.9375i −0.235682 + 0.621442i
\(370\) 0.275314 + 0.725944i 0.0143129 + 0.0377400i
\(371\) 1.24139 + 10.2238i 0.0644498 + 0.530792i
\(372\) −17.5208 25.3833i −0.908411 1.31606i
\(373\) −16.2338 + 4.00128i −0.840556 + 0.207178i −0.636012 0.771679i \(-0.719417\pi\)
−0.204544 + 0.978857i \(0.565571\pi\)
\(374\) −12.5467 11.1154i −0.648772 0.574762i
\(375\) −5.24116 + 13.8198i −0.270652 + 0.713651i
\(376\) 81.6039 + 20.1136i 4.20840 + 1.03728i
\(377\) 1.52566 + 12.0925i 0.0785757 + 0.622793i
\(378\) 4.89237 1.20586i 0.251637 0.0620228i
\(379\) −4.62567 + 38.0959i −0.237605 + 1.95685i 0.0489851 + 0.998800i \(0.484401\pi\)
−0.286590 + 0.958053i \(0.592522\pi\)
\(380\) −107.851 + 56.6048i −5.53266 + 2.90377i
\(381\) −3.50731 9.24802i −0.179685 0.473791i
\(382\) −3.60936 0.889628i −0.184671 0.0455173i
\(383\) 19.0275 16.8569i 0.972259 0.861346i −0.0181051 0.999836i \(-0.505763\pi\)
0.990364 + 0.138490i \(0.0442249\pi\)
\(384\) −20.7700 5.11935i −1.05991 0.261246i
\(385\) −33.3567 + 17.5070i −1.70002 + 0.892237i
\(386\) 12.7661 6.70018i 0.649779 0.341030i
\(387\) −0.277911 2.28881i −0.0141270 0.116347i
\(388\) −1.23991 10.2116i −0.0629467 0.518413i
\(389\) 12.9586 11.4803i 0.657027 0.582075i −0.267330 0.963605i \(-0.586141\pi\)
0.924356 + 0.381530i \(0.124603\pi\)
\(390\) 20.4405 29.9112i 1.03505 1.51461i
\(391\) −4.68079 4.14682i −0.236718 0.209714i
\(392\) −17.2466 + 24.9860i −0.871083 + 1.26198i
\(393\) −2.21711 + 5.84604i −0.111838 + 0.294894i
\(394\) 0.988212 + 8.13866i 0.0497854 + 0.410020i
\(395\) −1.36208 + 11.2177i −0.0685338 + 0.564426i
\(396\) 24.9461 + 13.0927i 1.25359 + 0.657934i
\(397\) 7.68334 11.1312i 0.385616 0.558661i −0.581322 0.813674i \(-0.697464\pi\)
0.966938 + 0.255013i \(0.0820797\pi\)
\(398\) −0.272663 0.718953i −0.0136674 0.0360379i
\(399\) −8.73506 + 7.73858i −0.437300 + 0.387414i
\(400\) 65.7719 95.2871i 3.28860 4.76436i
\(401\) 5.99113 + 8.67965i 0.299183 + 0.433441i 0.943528 0.331294i \(-0.107485\pi\)
−0.644345 + 0.764735i \(0.722870\pi\)
\(402\) 4.15675 + 34.2339i 0.207320 + 1.70743i
\(403\) −21.2463 + 0.0992843i −1.05835 + 0.00494570i
\(404\) −5.63059 + 46.3721i −0.280132 + 2.30710i
\(405\) 3.30791 1.73612i 0.164371 0.0862686i
\(406\) 6.04009 + 15.9264i 0.299764 + 0.790414i
\(407\) −0.0501327 + 0.412880i −0.00248499 + 0.0204657i
\(408\) 10.0713 0.498603
\(409\) −4.55529 + 37.5162i −0.225244 + 1.85506i 0.241162 + 0.970485i \(0.422471\pi\)
−0.466407 + 0.884570i \(0.654452\pi\)
\(410\) 72.8736 + 105.576i 3.59897 + 5.21401i
\(411\) 5.19934 1.28152i 0.256465 0.0632128i
\(412\) −8.12857 + 11.7763i −0.400466 + 0.580175i
\(413\) −12.0677 + 2.97442i −0.593813 + 0.146362i
\(414\) 12.8628 + 6.75094i 0.632174 + 0.331791i
\(415\) −27.8763 14.6306i −1.36839 0.718189i
\(416\) −46.6914 + 41.7560i −2.28923 + 2.04726i
\(417\) 4.86163 2.55158i 0.238075 0.124952i
\(418\) −90.1820 −4.41095
\(419\) −17.9030 9.39621i −0.874618 0.459035i −0.0332182 0.999448i \(-0.510576\pi\)
−0.841400 + 0.540413i \(0.818268\pi\)
\(420\) 12.9899 34.2515i 0.633842 1.67130i
\(421\) −1.16831 9.62187i −0.0569398 0.468941i −0.993091 0.117344i \(-0.962562\pi\)
0.936151 0.351597i \(-0.114361\pi\)
\(422\) −20.3006 + 5.00366i −0.988220 + 0.243574i
\(423\) 9.38144 2.31232i 0.456141 0.112429i
\(424\) −5.76389 47.4699i −0.279919 2.30534i
\(425\) −3.67722 + 9.69603i −0.178371 + 0.470326i
\(426\) 0.0602025 + 0.0315967i 0.00291682 + 0.00153087i
\(427\) −4.70491 −0.227686
\(428\) 37.8097 19.8441i 1.82760 0.959199i
\(429\) 17.1421 9.09927i 0.827626 0.439317i
\(430\) −20.5131 10.7661i −0.989231 0.519188i
\(431\) 7.34333 + 3.85407i 0.353716 + 0.185644i 0.632217 0.774792i \(-0.282145\pi\)
−0.278501 + 0.960436i \(0.589838\pi\)
\(432\) −12.5517 + 3.09373i −0.603896 + 0.148847i
\(433\) 17.6814 25.6159i 0.849713 1.23102i −0.121448 0.992598i \(-0.538754\pi\)
0.971161 0.238424i \(-0.0766308\pi\)
\(434\) −28.8294 + 7.10581i −1.38386 + 0.341090i
\(435\) 7.17391 + 10.3932i 0.343963 + 0.498316i
\(436\) 2.63153 21.6726i 0.126028 1.03793i
\(437\) −33.6443 −1.60942
\(438\) −0.361859 + 2.98018i −0.0172903 + 0.142398i
\(439\) −9.76485 25.7478i −0.466051 1.22888i −0.937810 0.347148i \(-0.887150\pi\)
0.471760 0.881727i \(-0.343619\pi\)
\(440\) 154.878 81.2864i 7.38353 3.87518i
\(441\) −0.420710 + 3.46485i −0.0200338 + 0.164993i
\(442\) 6.33503 9.27025i 0.301327 0.440941i
\(443\) −3.95288 32.5549i −0.187807 1.54673i −0.716301 0.697792i \(-0.754166\pi\)
0.528494 0.848937i \(-0.322757\pi\)
\(444\) −0.229744 0.332842i −0.0109032 0.0157960i
\(445\) 24.8837 36.0502i 1.17960 1.70894i
\(446\) −36.0248 + 31.9152i −1.70582 + 1.51123i
\(447\) 6.03383 + 15.9099i 0.285390 + 0.752512i
\(448\) −22.2123 + 32.1801i −1.04943 + 1.52037i
\(449\) −25.2189 13.2359i −1.19015 0.624642i −0.250951 0.968000i \(-0.580743\pi\)
−0.939204 + 0.343358i \(0.888435\pi\)
\(450\) 2.90364 23.9136i 0.136879 1.12730i
\(451\) 8.28341 + 68.2200i 0.390051 + 3.21236i
\(452\) −3.55386 + 9.37076i −0.167160 + 0.440764i
\(453\) 5.18713 7.51485i 0.243712 0.353078i
\(454\) −38.1581 33.8052i −1.79085 1.58655i
\(455\) −14.4317 20.7003i −0.676566 0.970444i
\(456\) 40.5576 35.9309i 1.89929 1.68262i
\(457\) 3.47704 + 28.6360i 0.162649 + 1.33954i 0.814047 + 0.580799i \(0.197260\pi\)
−0.651398 + 0.758737i \(0.725817\pi\)
\(458\) −4.17681 34.3991i −0.195170 1.60737i
\(459\) 1.02520 0.538068i 0.0478524 0.0251149i
\(460\) 93.5129 49.0794i 4.36006 2.28834i
\(461\) 17.3809 + 4.28400i 0.809509 + 0.199526i 0.622284 0.782791i \(-0.286205\pi\)
0.187224 + 0.982317i \(0.440051\pi\)
\(462\) 20.3011 17.9852i 0.944493 0.836748i
\(463\) −24.8533 6.12580i −1.15503 0.284690i −0.385137 0.922859i \(-0.625846\pi\)
−0.769896 + 0.638169i \(0.779692\pi\)
\(464\) −15.4963 40.8604i −0.719397 1.89689i
\(465\) −19.4926 + 10.2305i −0.903947 + 0.474428i
\(466\) −9.06633 + 74.6680i −0.419990 + 3.45893i
\(467\) −27.7549 + 6.84096i −1.28434 + 0.316562i −0.821668 0.569966i \(-0.806956\pi\)
−0.462675 + 0.886528i \(0.653110\pi\)
\(468\) −6.60948 + 17.6765i −0.305523 + 0.817094i
\(469\) 23.3223 + 5.74843i 1.07692 + 0.265438i
\(470\) 34.4270 90.7764i 1.58800 4.18720i
\(471\) −1.16675 1.03365i −0.0537609 0.0476280i
\(472\) 56.0314 13.8105i 2.57906 0.635680i
\(473\) −7.04986 10.2135i −0.324153 0.469617i
\(474\) −0.980637 8.07627i −0.0450422 0.370956i
\(475\) 19.7838 + 52.1656i 0.907742 + 2.39352i
\(476\) 4.02589 10.6154i 0.184527 0.486557i
\(477\) −3.12286 4.52424i −0.142986 0.207151i
\(478\) −25.3546 6.24935i −1.15969 0.285839i
\(479\) 9.89204 + 26.0832i 0.451979 + 1.19177i 0.946528 + 0.322621i \(0.104564\pi\)
−0.494549 + 0.869150i \(0.664667\pi\)
\(480\) −23.0146 + 60.6846i −1.05047 + 2.76986i
\(481\) −0.278595 + 0.00130188i −0.0127028 + 5.93606e-5i
\(482\) 12.4670 + 32.8728i 0.567856 + 1.49731i
\(483\) 7.57376 6.70976i 0.344618 0.305305i
\(484\) 94.0712 4.27596
\(485\) −7.34203 −0.333384
\(486\) −2.01321 + 1.78355i −0.0913212 + 0.0809035i
\(487\) −20.1489 + 10.5749i −0.913033 + 0.479197i −0.854713 0.519101i \(-0.826267\pi\)
−0.0583201 + 0.998298i \(0.518574\pi\)
\(488\) 21.8453 0.988890
\(489\) −4.82611 2.53294i −0.218244 0.114543i
\(490\) 26.2506 + 23.2560i 1.18588 + 1.05060i
\(491\) −15.4603 22.3982i −0.697715 1.01081i −0.998370 0.0570816i \(-0.981820\pi\)
0.300654 0.953733i \(-0.402795\pi\)
\(492\) −50.0187 44.3127i −2.25502 1.99777i
\(493\) 2.22338 + 3.22112i 0.100136 + 0.145072i
\(494\) −7.56155 59.9331i −0.340210 2.69652i
\(495\) 11.4230 16.5490i 0.513425 0.743824i
\(496\) 73.9640 18.2305i 3.32108 0.818573i
\(497\) 0.0354478 0.0314040i 0.00159005 0.00140866i
\(498\) 22.0073 + 5.42431i 0.986171 + 0.243069i
\(499\) −11.8632 10.5099i −0.531070 0.470487i 0.354459 0.935072i \(-0.384665\pi\)
−0.885529 + 0.464585i \(0.846204\pi\)
\(500\) −57.9056 51.2999i −2.58962 2.29420i
\(501\) 0.882716 2.32753i 0.0394368 0.103986i
\(502\) −25.0600 + 36.3056i −1.11848 + 1.62040i
\(503\) 35.0879 + 18.4155i 1.56449 + 0.821108i 0.999991 0.00432447i \(-0.00137653\pi\)
0.564500 + 0.825433i \(0.309069\pi\)
\(504\) −1.96425 + 16.1770i −0.0874944 + 0.720582i
\(505\) 32.3723 + 7.97906i 1.44055 + 0.355064i
\(506\) 78.1926 3.47608
\(507\) 7.48451 + 10.6293i 0.332399 + 0.472064i
\(508\) 51.7690 2.29688
\(509\) −0.130907 0.0322656i −0.00580234 0.00143015i 0.236413 0.971653i \(-0.424028\pi\)
−0.242216 + 0.970222i \(0.577874\pi\)
\(510\) 1.40230 11.5489i 0.0620947 0.511396i
\(511\) 1.85153 + 0.971757i 0.0819068 + 0.0429880i
\(512\) −0.175917 + 0.254860i −0.00777451 + 0.0112633i
\(513\) 2.20891 5.82441i 0.0975257 0.257154i
\(514\) −50.3119 44.5724i −2.21916 1.96601i
\(515\) 7.64470 + 6.77262i 0.336866 + 0.298437i
\(516\) 11.7171 + 2.88801i 0.515817 + 0.127137i
\(517\) 38.9287 34.4878i 1.71208 1.51677i
\(518\) −0.378030 + 0.0931759i −0.0166097 + 0.00409392i
\(519\) 0.571561 0.828049i 0.0250888 0.0363473i
\(520\) 67.0074 + 96.1132i 2.93847 + 4.21484i
\(521\) −18.6267 26.9854i −0.816051 1.18225i −0.980626 0.195889i \(-0.937241\pi\)
0.164576 0.986364i \(-0.447375\pi\)
\(522\) −6.80552 6.02917i −0.297870 0.263890i
\(523\) −1.13596 1.64572i −0.0496720 0.0719623i 0.797361 0.603503i \(-0.206229\pi\)
−0.847033 + 0.531540i \(0.821613\pi\)
\(524\) −24.4952 21.7008i −1.07008 0.948005i
\(525\) −14.8571 7.79760i −0.648416 0.340315i
\(526\) −79.9067 −3.48410
\(527\) −6.04124 + 3.17069i −0.263160 + 0.138117i
\(528\) −52.0840 + 46.1424i −2.26667 + 2.00809i
\(529\) 6.17138 0.268321
\(530\) −55.2373 −2.39935
\(531\) 4.96587 4.39937i 0.215500 0.190917i
\(532\) −21.6597 57.1119i −0.939067 2.47612i
\(533\) −44.6431 + 11.2251i −1.93371 + 0.486212i
\(534\) −11.1832 + 29.4877i −0.483945 + 1.27606i
\(535\) −10.8075 28.4972i −0.467251 1.23204i
\(536\) −108.287 26.6905i −4.67731 1.15285i
\(537\) 7.23982 + 10.4887i 0.312421 + 0.452620i
\(538\) −26.9622 + 71.0936i −1.16242 + 3.06506i
\(539\) 6.66198 + 17.5662i 0.286952 + 0.756630i
\(540\) 2.35692 + 19.4110i 0.101426 + 0.835317i
\(541\) 3.13658 + 4.54413i 0.134852 + 0.195367i 0.884592 0.466365i \(-0.154437\pi\)
−0.749740 + 0.661733i \(0.769821\pi\)
\(542\) 37.1929 9.16722i 1.59757 0.393766i
\(543\) −4.48429 3.97273i −0.192439 0.170486i
\(544\) −7.13281 + 18.8077i −0.305817 + 0.806373i
\(545\) −15.1296 3.72912i −0.648083 0.159738i
\(546\) 13.6548 + 11.9837i 0.584372 + 0.512854i
\(547\) −33.9409 + 8.36569i −1.45121 + 0.357691i −0.884622 0.466310i \(-0.845583\pi\)
−0.566589 + 0.824001i \(0.691737\pi\)
\(548\) −3.37842 + 27.8238i −0.144319 + 1.18858i
\(549\) 2.22374 1.16711i 0.0949067 0.0498109i
\(550\) −45.9794 121.238i −1.96057 5.16960i
\(551\) 20.4455 + 5.03937i 0.871008 + 0.214684i
\(552\) −35.1656 + 31.1540i −1.49675 + 1.32600i
\(553\) −5.50206 1.35614i −0.233972 0.0576688i
\(554\) 14.9589 7.85104i 0.635543 0.333559i
\(555\) −0.255599 + 0.134149i −0.0108496 + 0.00569430i
\(556\) 3.46397 + 28.5284i 0.146905 + 1.20987i
\(557\) 2.40184 + 19.7809i 0.101769 + 0.838145i 0.950801 + 0.309803i \(0.100263\pi\)
−0.849032 + 0.528342i \(0.822814\pi\)
\(558\) 11.8633 10.5100i 0.502214 0.444922i
\(559\) 6.19656 5.54157i 0.262086 0.234383i
\(560\) 67.7220 + 59.9965i 2.86178 + 2.53531i
\(561\) 3.54027 5.12897i 0.149470 0.216545i
\(562\) 8.35584 22.0326i 0.352470 0.929387i
\(563\) −4.09319 33.7105i −0.172507 1.42073i −0.779691 0.626165i \(-0.784624\pi\)
0.607183 0.794562i \(-0.292299\pi\)
\(564\) −6.09587 + 50.2040i −0.256682 + 2.11397i
\(565\) 6.33387 + 3.32427i 0.266468 + 0.139853i
\(566\) 20.6206 29.8741i 0.866750 1.25570i
\(567\) 0.664323 + 1.75168i 0.0278990 + 0.0735635i
\(568\) −0.164587 + 0.145812i −0.00690593 + 0.00611812i
\(569\) 21.5111 31.1643i 0.901794 1.30647i −0.0496869 0.998765i \(-0.515822\pi\)
0.951481 0.307709i \(-0.0995623\pi\)
\(570\) −35.5556 51.5112i −1.48926 2.15757i
\(571\) 0.248059 + 2.04295i 0.0103810 + 0.0854949i 0.996979 0.0776774i \(-0.0247504\pi\)
−0.986598 + 0.163172i \(0.947827\pi\)
\(572\) 12.7152 + 100.781i 0.531648 + 4.21386i
\(573\) 0.166596 1.37204i 0.00695965 0.0573179i
\(574\) −56.9623 + 29.8961i −2.37756 + 1.24784i
\(575\) −17.1536 45.2303i −0.715354 1.88623i
\(576\) 2.51583 20.7197i 0.104826 0.863321i
\(577\) 39.3763 1.63926 0.819628 0.572896i \(-0.194180\pi\)
0.819628 + 0.572896i \(0.194180\pi\)
\(578\) −5.07676 + 41.8109i −0.211166 + 1.73910i
\(579\) 3.04508 + 4.41156i 0.126549 + 0.183338i
\(580\) −64.1788 + 15.8186i −2.66488 + 0.656834i
\(581\) 8.96839 12.9930i 0.372072 0.539039i
\(582\) 5.13233 1.26501i 0.212742 0.0524362i
\(583\) −26.2009 13.7513i −1.08513 0.569521i
\(584\) −8.59681 4.51195i −0.355738 0.186706i
\(585\) 11.9559 + 6.20388i 0.494318 + 0.256499i
\(586\) −63.2796 + 33.2117i −2.61406 + 1.37196i
\(587\) −40.1310 −1.65638 −0.828192 0.560445i \(-0.810630\pi\)
−0.828192 + 0.560445i \(0.810630\pi\)
\(588\) −16.1760 8.48980i −0.667085 0.350113i
\(589\) −13.0165 + 34.3216i −0.536335 + 1.41420i
\(590\) −8.03515 66.1754i −0.330802 2.72440i
\(591\) −2.95960 + 0.729475i −0.121742 + 0.0300066i
\(592\) 0.969863 0.239050i 0.0398611 0.00982489i
\(593\) 2.12097 + 17.4678i 0.0870979 + 0.717316i 0.969203 + 0.246263i \(0.0792027\pi\)
−0.882105 + 0.471053i \(0.843874\pi\)
\(594\) −5.13372 + 13.5365i −0.210639 + 0.555409i
\(595\) −7.17515 3.76581i −0.294152 0.154383i
\(596\) −89.0611 −3.64809
\(597\) 0.253138 0.132857i 0.0103602 0.00543747i
\(598\) 6.55627 + 51.9652i 0.268106 + 2.12501i
\(599\) −16.7021 8.76591i −0.682427 0.358166i 0.0876184 0.996154i \(-0.472074\pi\)
−0.770046 + 0.637989i \(0.779767\pi\)
\(600\) 68.9827 + 36.2049i 2.81621 + 1.47806i
\(601\) 26.2689 6.47471i 1.07153 0.264109i 0.336183 0.941797i \(-0.390864\pi\)
0.735350 + 0.677688i \(0.237018\pi\)
\(602\) 6.59951 9.56103i 0.268976 0.389679i
\(603\) −12.4491 + 3.06842i −0.506965 + 0.124956i
\(604\) 27.1498 + 39.3333i 1.10471 + 1.60045i
\(605\) 8.09323 66.6538i 0.329037 2.70986i
\(606\) −24.0041 −0.975101
\(607\) −4.57181 + 37.6523i −0.185564 + 1.52826i 0.540919 + 0.841075i \(0.318077\pi\)
−0.726483 + 0.687184i \(0.758847\pi\)
\(608\) 38.3752 + 101.187i 1.55632 + 4.10368i
\(609\) −5.60756 + 2.94307i −0.227230 + 0.119259i
\(610\) 3.04168 25.0505i 0.123154 1.01426i
\(611\) 26.1840 + 22.9795i 1.05929 + 0.929650i
\(612\) 0.730470 + 6.01596i 0.0295275 + 0.243181i
\(613\) −18.4453 26.7226i −0.744998 1.07932i −0.993846 0.110773i \(-0.964667\pi\)
0.248848 0.968543i \(-0.419948\pi\)
\(614\) −12.3304 + 17.8636i −0.497612 + 0.720916i
\(615\) −35.7009 + 31.6282i −1.43960 + 1.27537i
\(616\) 31.1040 + 82.0146i 1.25322 + 3.30446i
\(617\) −2.39609 + 3.47133i −0.0964628 + 0.139750i −0.868244 0.496138i \(-0.834751\pi\)
0.771781 + 0.635889i \(0.219366\pi\)
\(618\) −6.51081 3.41714i −0.261903 0.137457i
\(619\) 1.42911 11.7698i 0.0574408 0.473067i −0.935397 0.353599i \(-0.884958\pi\)
0.992838 0.119468i \(-0.0381191\pi\)
\(620\) −13.8887 114.384i −0.557783 4.59376i
\(621\) −1.91524 + 5.05007i −0.0768559 + 0.202652i
\(622\) 40.8460 59.1757i 1.63778 2.37273i
\(623\) 16.4423 + 14.5666i 0.658747 + 0.583599i
\(624\) −35.0324 30.7450i −1.40242 1.23079i
\(625\) −7.81045 + 6.91946i −0.312418 + 0.276778i
\(626\) 4.15657 + 34.2324i 0.166130 + 1.36820i
\(627\) −4.04155 33.2851i −0.161404 1.32928i
\(628\) 7.22413 3.79152i 0.288274 0.151298i
\(629\) −0.0792166 + 0.0415761i −0.00315857 + 0.00165775i
\(630\) 18.2770 + 4.50488i 0.728174 + 0.179479i
\(631\) −16.0996 + 14.2630i −0.640913 + 0.567800i −0.919733 0.392544i \(-0.871595\pi\)
0.278820 + 0.960343i \(0.410057\pi\)
\(632\) 25.5466 + 6.29666i 1.01619 + 0.250468i
\(633\) −2.75658 7.26849i −0.109564 0.288897i
\(634\) 16.9490 8.89551i 0.673130 0.353286i
\(635\) 4.45385 36.6807i 0.176745 1.45563i
\(636\) 27.9375 6.88598i 1.10779 0.273047i
\(637\) −11.1155 + 5.90030i −0.440414 + 0.233778i
\(638\) −47.5174 11.7120i −1.88123 0.463682i
\(639\) −0.00896398 + 0.0236361i −0.000354610 + 0.000935029i
\(640\) −59.8174 52.9936i −2.36449 2.09476i
\(641\) −48.4771 + 11.9485i −1.91473 + 0.471938i −0.917482 + 0.397777i \(0.869782\pi\)
−0.997246 + 0.0741612i \(0.976372\pi\)
\(642\) 12.4648 + 18.0584i 0.491947 + 0.712708i
\(643\) −3.73821 30.7869i −0.147421 1.21412i −0.859172 0.511687i \(-0.829021\pi\)
0.711751 0.702432i \(-0.247902\pi\)
\(644\) 18.7801 + 49.5191i 0.740040 + 1.95132i
\(645\) 3.05435 8.05365i 0.120265 0.317112i
\(646\) −11.0196 15.9646i −0.433560 0.628120i
\(647\) 29.9992 + 7.39414i 1.17939 + 0.290694i 0.779817 0.626008i \(-0.215312\pi\)
0.399573 + 0.916701i \(0.369158\pi\)
\(648\) −3.08451 8.13319i −0.121171 0.319502i
\(649\) 12.6630 33.3896i 0.497067 1.31066i
\(650\) 76.7169 40.7225i 3.00908 1.59727i
\(651\) −3.91467 10.3221i −0.153428 0.404557i
\(652\) 21.3535 18.9175i 0.836266 0.740867i
\(653\) −30.0644 −1.17651 −0.588255 0.808676i \(-0.700185\pi\)
−0.588255 + 0.808676i \(0.700185\pi\)
\(654\) 11.2187 0.438684
\(655\) −17.4834 + 15.4890i −0.683134 + 0.605204i
\(656\) 146.141 76.7008i 5.70585 2.99466i
\(657\) −1.11617 −0.0435458
\(658\) 43.1092 + 22.6254i 1.68057 + 0.882031i
\(659\) 4.43710 + 3.93093i 0.172845 + 0.153127i 0.745110 0.666941i \(-0.232397\pi\)
−0.572265 + 0.820068i \(0.693935\pi\)
\(660\) 59.7888 + 86.6190i 2.32727 + 3.37164i
\(661\) −9.70486 8.59776i −0.377475 0.334414i 0.452958 0.891532i \(-0.350369\pi\)
−0.830433 + 0.557118i \(0.811907\pi\)
\(662\) 11.1717 + 16.1849i 0.434199 + 0.629046i
\(663\) 3.70545 + 1.92274i 0.143908 + 0.0746729i
\(664\) −41.6410 + 60.3275i −1.61599 + 2.34116i
\(665\) −42.3299 + 10.4334i −1.64148 + 0.404589i
\(666\) 0.155559 0.137813i 0.00602780 0.00534016i
\(667\) −17.7273 4.36940i −0.686406 0.169184i
\(668\) 9.75246 + 8.63993i 0.377334 + 0.334289i
\(669\) −13.3940 11.8660i −0.517842 0.458768i
\(670\) −45.6842 + 120.459i −1.76493 + 4.65375i
\(671\) 7.67909 11.1251i 0.296448 0.429479i
\(672\) −28.8187 15.1252i −1.11171 0.583469i
\(673\) −3.57545 + 29.4465i −0.137824 + 1.13508i 0.745563 + 0.666435i \(0.232181\pi\)
−0.883387 + 0.468645i \(0.844742\pi\)
\(674\) −11.7441 2.89466i −0.452365 0.111498i
\(675\) 8.95637 0.344731
\(676\) −65.9107 + 16.9005i −2.53503 + 0.650018i
\(677\) 14.1115 0.542350 0.271175 0.962530i \(-0.412588\pi\)
0.271175 + 0.962530i \(0.412588\pi\)
\(678\) −5.00035 1.23248i −0.192037 0.0473329i
\(679\) 0.443797 3.65499i 0.0170313 0.140266i
\(680\) 33.3148 + 17.4850i 1.27757 + 0.670518i
\(681\) 10.7670 15.5987i 0.412593 0.597744i
\(682\) 30.2516 79.7668i 1.15839 3.05443i
\(683\) 17.0330 + 15.0899i 0.651751 + 0.577401i 0.922854 0.385150i \(-0.125850\pi\)
−0.271104 + 0.962550i \(0.587389\pi\)
\(684\) 24.4046 + 21.6205i 0.933132 + 0.826682i
\(685\) 19.4238 + 4.78754i 0.742146 + 0.182922i
\(686\) −39.5651 + 35.0516i −1.51060 + 1.33828i
\(687\) 12.5091 3.08323i 0.477253 0.117632i
\(688\) −16.9315 + 24.5295i −0.645508 + 0.935180i
\(689\) 6.94195 18.5656i 0.264467 0.707294i
\(690\) 30.8286 + 44.6630i 1.17363 + 1.70029i
\(691\) 34.0968 + 30.2072i 1.29711 + 1.14913i 0.979617 + 0.200873i \(0.0643778\pi\)
0.317488 + 0.948262i \(0.397161\pi\)
\(692\) 2.99159 + 4.33407i 0.113723 + 0.164757i
\(693\) 7.54794 + 6.68689i 0.286722 + 0.254014i
\(694\) −17.9880 9.44085i −0.682817 0.358370i
\(695\) 20.5117 0.778053
\(696\) 26.0364 13.6650i 0.986907 0.517969i
\(697\) −11.0646 + 9.80237i −0.419101 + 0.371291i
\(698\) −7.65663 −0.289808
\(699\) −27.9654 −1.05775
\(700\) 65.7362 58.2372i 2.48460 2.20116i
\(701\) 3.71272 + 9.78964i 0.140228 + 0.369750i 0.986671 0.162729i \(-0.0520297\pi\)
−0.846443 + 0.532479i \(0.821261\pi\)
\(702\) −9.42652 2.27676i −0.355781 0.0859307i
\(703\) −0.170681 + 0.450048i −0.00643734 + 0.0169739i
\(704\) −39.8384 105.045i −1.50147 3.95904i
\(705\) 35.0474 + 8.63840i 1.31996 + 0.325341i
\(706\) −33.4347 48.4386i −1.25833 1.82301i
\(707\) −5.92890 + 15.6332i −0.222979 + 0.587948i
\(708\) 12.3135 + 32.4680i 0.462770 + 1.22022i
\(709\) 0.0936173 + 0.771008i 0.00351587 + 0.0289558i 0.994361 0.106046i \(-0.0338191\pi\)
−0.990845 + 0.135002i \(0.956896\pi\)
\(710\) 0.144289 + 0.209038i 0.00541505 + 0.00784506i
\(711\) 2.93691 0.723884i 0.110143 0.0271478i
\(712\) −76.3431 67.6341i −2.86108 2.53469i
\(713\) 11.2860 29.7587i 0.422663 1.11447i
\(714\) 5.66451 + 1.39618i 0.211989 + 0.0522506i
\(715\) 72.5018 0.338802i 2.71141 0.0126705i
\(716\) −64.7684 + 15.9640i −2.42051 + 0.596602i
\(717\) 1.17028 9.63816i 0.0437051 0.359944i
\(718\) −12.5284 + 6.57543i −0.467557 + 0.245393i
\(719\) 17.3266 + 45.6866i 0.646175 + 1.70382i 0.708447 + 0.705764i \(0.249396\pi\)
−0.0622723 + 0.998059i \(0.519835\pi\)
\(720\) −46.8911 11.5576i −1.74753 0.430727i
\(721\) −3.83362 + 3.39629i −0.142772 + 0.126485i
\(722\) −51.7150 12.7466i −1.92463 0.474380i
\(723\) −11.5742 + 6.07463i −0.430451 + 0.225918i
\(724\) 27.7653 14.5723i 1.03189 0.541577i
\(725\) 3.64941 + 30.0556i 0.135536 + 1.11624i
\(726\) 5.82676 + 47.9877i 0.216251 + 1.78099i
\(727\) 7.04284 6.23941i 0.261204 0.231407i −0.522348 0.852732i \(-0.674944\pi\)
0.783553 + 0.621325i \(0.213405\pi\)
\(728\) −51.8972 + 27.5478i −1.92344 + 1.02099i
\(729\) −0.748511 0.663123i −0.0277226 0.0245601i
\(730\) −6.37095 + 9.22991i −0.235799 + 0.341614i
\(731\) 0.946618 2.49603i 0.0350119 0.0923189i
\(732\) 1.58444 + 13.0490i 0.0585625 + 0.482306i
\(733\) 3.96312 32.6392i 0.146381 1.20556i −0.715561 0.698550i \(-0.753829\pi\)
0.861942 0.507006i \(-0.169248\pi\)
\(734\) −43.6015 22.8839i −1.60936 0.844659i
\(735\) −7.40708 + 10.7310i −0.273214 + 0.395819i
\(736\) −33.2733 87.7346i −1.22647 3.23394i
\(737\) −51.6579 + 45.7649i −1.90284 + 1.68577i
\(738\) 19.5067 28.2603i 0.718052 1.04028i
\(739\) −14.7704 21.3987i −0.543339 0.787162i 0.451100 0.892473i \(-0.351032\pi\)
−0.994439 + 0.105311i \(0.966416\pi\)
\(740\) −0.182118 1.49987i −0.00669477 0.0551364i
\(741\) 21.7817 5.47681i 0.800172 0.201196i
\(742\) 3.33887 27.4981i 0.122574 1.00949i
\(743\) 2.35770 1.23741i 0.0864955 0.0453963i −0.420921 0.907097i \(-0.638293\pi\)
0.507416 + 0.861701i \(0.330601\pi\)
\(744\) 18.1762 + 47.9266i 0.666371 + 1.75708i
\(745\) −7.66220 + 63.1039i −0.280721 + 2.31195i
\(746\) 44.9696 1.64645
\(747\) −1.01578 + 8.36573i −0.0371656 + 0.306086i
\(748\) 18.5300 + 26.8454i 0.677525 + 0.981565i
\(749\) 14.8397 3.65765i 0.542230 0.133648i
\(750\) 22.5825 32.7164i 0.824596 1.19463i
\(751\) 22.1806 5.46704i 0.809383 0.199495i 0.187154 0.982331i \(-0.440074\pi\)
0.622229 + 0.782836i \(0.286227\pi\)
\(752\) −110.600 58.0472i −4.03316 2.11677i
\(753\) −14.5231 7.62229i −0.529250 0.277772i
\(754\) 3.79932 32.5611i 0.138363 1.18580i
\(755\) 30.2052 15.8529i 1.09928 0.576947i
\(756\) −9.80561 −0.356627
\(757\) −31.2878 16.4211i −1.13717 0.596835i −0.212336 0.977197i \(-0.568107\pi\)
−0.924838 + 0.380362i \(0.875800\pi\)
\(758\) 36.6009 96.5087i 1.32941 3.50535i
\(759\) 3.50424 + 28.8600i 0.127196 + 1.04755i
\(760\) 196.541 48.4431i 7.12930 1.75722i
\(761\) 25.8923 6.38187i 0.938594 0.231343i 0.259793 0.965664i \(-0.416346\pi\)
0.678802 + 0.734322i \(0.262500\pi\)
\(762\) 3.20657 + 26.4085i 0.116162 + 0.956678i
\(763\) 2.77095 7.30640i 0.100315 0.264509i
\(764\) 6.40550 + 3.36186i 0.231743 + 0.121628i
\(765\) 4.32543 0.156386
\(766\) −60.5399 + 31.7738i −2.18740 + 1.14803i
\(767\) 23.2518 + 5.61594i 0.839575 + 0.202780i
\(768\) 13.9828 + 7.33874i 0.504561 + 0.264814i
\(769\) −1.97620 1.03719i −0.0712635 0.0374020i 0.428715 0.903440i \(-0.358966\pi\)
−0.499979 + 0.866038i \(0.666659\pi\)
\(770\) 98.3787 24.2482i 3.54532 0.873844i
\(771\) 14.1964 20.5671i 0.511271 0.740704i
\(772\) −27.2417 + 6.71447i −0.980449 + 0.241659i
\(773\) 6.06712 + 8.78974i 0.218219 + 0.316145i 0.916770 0.399415i \(-0.130787\pi\)
−0.698551 + 0.715560i \(0.746171\pi\)
\(774\) −0.747477 + 6.15603i −0.0268675 + 0.221274i
\(775\) −52.7774 −1.89582
\(776\) −2.06059 + 16.9705i −0.0739707 + 0.609204i
\(777\) −0.0513317 0.135351i −0.00184152 0.00485568i
\(778\) −41.2305 + 21.6394i −1.47818 + 0.775811i
\(779\) −9.58620 + 78.9495i −0.343461 + 2.82866i
\(780\) −52.5520 + 46.9972i −1.88166 + 1.68277i
\(781\) 0.0164010 + 0.135075i 0.000586875 + 0.00483335i
\(782\) 9.55456 + 13.8422i 0.341670 + 0.494995i
\(783\) 1.92030 2.78204i 0.0686261 0.0994220i
\(784\) 33.7732 29.9204i 1.20619 1.06859i
\(785\) −2.06495 5.44482i −0.0737012 0.194334i
\(786\) 9.55283 13.8397i 0.340738 0.493644i
\(787\) −24.9373 13.0881i −0.888920 0.466541i −0.0425240 0.999095i \(-0.513540\pi\)
−0.846396 + 0.532554i \(0.821232\pi\)
\(788\) 1.92309 15.8380i 0.0685071 0.564207i
\(789\) −3.58106 29.4926i −0.127489 1.04997i
\(790\) 10.7776 28.4181i 0.383448 1.01107i
\(791\) −2.03774 + 2.95217i −0.0724536 + 0.104967i
\(792\) −35.0457 31.0478i −1.24530 1.10324i
\(793\) 8.03737 + 4.17055i 0.285415 + 0.148101i
\(794\) −27.2296 + 24.1233i −0.966344 + 0.856106i
\(795\) −2.47548 20.3874i −0.0877963 0.723068i
\(796\) 0.180364 + 1.48543i 0.00639282 + 0.0526496i
\(797\) −22.8502 + 11.9927i −0.809396 + 0.424804i −0.818042 0.575159i \(-0.804940\pi\)
0.00864544 + 0.999963i \(0.497248\pi\)
\(798\) 27.7924 14.5866i 0.983841 0.516359i
\(799\) 10.8621 + 2.67726i 0.384272 + 0.0947146i
\(800\) −116.467 + 103.181i −4.11773 + 3.64799i
\(801\) −11.3847 2.80609i −0.402260 0.0991482i
\(802\) −10.0588 26.5229i −0.355189 0.936557i
\(803\) −5.31975 + 2.79202i −0.187730 + 0.0985282i
\(804\) 8.08914 66.6201i 0.285282 2.34951i
\(805\) 36.7022 9.04629i 1.29358 0.318840i
\(806\) 55.5479 + 13.4163i 1.95659 + 0.472569i
\(807\) −27.4481 6.76536i −0.966220 0.238152i
\(808\) 27.5284 72.5864i 0.968446 2.55358i
\(809\) 21.0520 + 18.6504i 0.740147 + 0.655713i 0.946478 0.322769i \(-0.104614\pi\)
−0.206331 + 0.978482i \(0.566152\pi\)
\(810\) −9.75598 + 2.40463i −0.342790 + 0.0844902i
\(811\) 20.4766 + 29.6654i 0.719029 + 1.04169i 0.996712 + 0.0810212i \(0.0258182\pi\)
−0.277683 + 0.960673i \(0.589566\pi\)
\(812\) −3.99545 32.9055i −0.140213 1.15476i
\(813\) 5.05033 + 13.3166i 0.177123 + 0.467034i
\(814\) 0.396678 1.04595i 0.0139036 0.0366607i
\(815\) −11.5668 16.7574i −0.405168 0.586988i
\(816\) −14.5327 3.58200i −0.508747 0.125395i
\(817\) −5.09290 13.4289i −0.178178 0.469816i
\(818\) 36.0440 95.0402i 1.26025 3.32300i
\(819\) −3.81109 + 5.57688i −0.133170 + 0.194872i
\(820\) −88.5249 233.421i −3.09142 8.15141i
\(821\) −34.0800 + 30.1922i −1.18940 + 1.05372i −0.192018 + 0.981391i \(0.561503\pi\)
−0.997381 + 0.0723242i \(0.976958\pi\)
\(822\) −14.4028 −0.502355
\(823\) −22.6513 −0.789574 −0.394787 0.918773i \(-0.629182\pi\)
−0.394787 + 0.918773i \(0.629182\pi\)
\(824\) 17.7998 15.7693i 0.620087 0.549349i
\(825\) 42.6869 22.4038i 1.48617 0.780000i
\(826\) 33.4290 1.16314
\(827\) −15.3805 8.07230i −0.534832 0.280701i 0.175607 0.984460i \(-0.443811\pi\)
−0.710439 + 0.703759i \(0.751503\pi\)
\(828\) −21.1600 18.7462i −0.735362 0.651474i
\(829\) 7.79247 + 11.2893i 0.270644 + 0.392095i 0.934614 0.355664i \(-0.115745\pi\)
−0.663970 + 0.747759i \(0.731130\pi\)
\(830\) 63.3808 + 56.1505i 2.19998 + 1.94901i
\(831\) 3.56812 + 5.16931i 0.123777 + 0.179321i
\(832\) 66.4705 35.2836i 2.30445 1.22324i
\(833\) −2.29564 + 3.32581i −0.0795392 + 0.115232i
\(834\) −14.3384 + 3.53409i −0.496497 + 0.122376i
\(835\) 6.96082 6.16675i 0.240889 0.213409i
\(836\) 170.397 + 41.9991i 5.89330 + 1.45257i
\(837\) 4.41077 + 3.90760i 0.152458 + 0.135066i
\(838\) 40.7050 + 36.0615i 1.40613 + 1.24572i
\(839\) −16.4706 + 43.4295i −0.568630 + 1.49935i 0.274470 + 0.961596i \(0.411498\pi\)
−0.843100 + 0.537757i \(0.819272\pi\)
\(840\) −34.5828 + 50.1019i −1.19322 + 1.72868i
\(841\) −15.5598 8.16643i −0.536546 0.281601i
\(842\) −3.14231 + 25.8792i −0.108291 + 0.891857i
\(843\) 8.50643 + 2.09665i 0.292977 + 0.0722123i
\(844\) 40.6879 1.40053
\(845\) 6.30427 + 48.1548i 0.216873 + 1.65657i
\(846\) −25.9877 −0.893475
\(847\) 32.6922 + 8.05791i 1.12332 + 0.276873i
\(848\) −8.56613 + 70.5484i −0.294162 + 2.42264i
\(849\) 11.9503 + 6.27201i 0.410134 + 0.215255i
\(850\) 15.8440 22.9540i 0.543444 0.787314i
\(851\) 0.147989 0.390215i 0.00507300 0.0133764i
\(852\) −0.0990363 0.0877385i −0.00339293 0.00300587i
\(853\) 1.10818 + 0.981766i 0.0379435 + 0.0336150i 0.681881 0.731463i \(-0.261162\pi\)
−0.643938 + 0.765078i \(0.722700\pi\)
\(854\) 12.2867 + 3.02840i 0.420443 + 0.103630i
\(855\) 17.4188 15.4317i 0.595709 0.527752i
\(856\) −68.9019 + 16.9828i −2.35502 + 0.580460i
\(857\) 5.82285 8.43585i 0.198905 0.288163i −0.710821 0.703373i \(-0.751676\pi\)
0.909726 + 0.415210i \(0.136292\pi\)
\(858\) −50.6229 + 12.7286i −1.72824 + 0.434548i
\(859\) 29.7416 + 43.0882i 1.01477 + 1.47015i 0.877476 + 0.479621i \(0.159226\pi\)
0.137296 + 0.990530i \(0.456159\pi\)
\(860\) 33.7452 + 29.8956i 1.15070 + 1.01943i
\(861\) −13.5871 19.6843i −0.463048 0.670840i
\(862\) −16.6961 14.7915i −0.568672 0.503799i
\(863\) 34.3179 + 18.0114i 1.16819 + 0.613115i 0.933367 0.358922i \(-0.116856\pi\)
0.234826 + 0.972037i \(0.424548\pi\)
\(864\) 17.3729 0.591039
\(865\) 3.32827 1.74681i 0.113164 0.0593933i
\(866\) −62.6625 + 55.5142i −2.12936 + 1.88645i
\(867\) −15.6594 −0.531823
\(868\) 57.7818 1.96124
\(869\) 12.1868 10.7966i 0.413410 0.366250i
\(870\) −12.0447 31.7592i −0.408352 1.07674i
\(871\) −34.7458 30.4935i −1.17732 1.03323i
\(872\) −12.8658 + 33.9242i −0.435690 + 1.14882i
\(873\) 0.696907 + 1.83759i 0.0235867 + 0.0621931i
\(874\) 87.8610 + 21.6558i 2.97194 + 0.732518i
\(875\) −15.7295 22.7881i −0.531755 0.770379i
\(876\) 2.07164 5.46245i 0.0699941 0.184559i
\(877\) −11.5867 30.5517i −0.391256 1.03166i −0.975484 0.220069i \(-0.929372\pi\)
0.584228 0.811590i \(-0.301397\pi\)
\(878\) 8.92754 + 73.5249i 0.301290 + 2.48134i
\(879\) −15.0940 21.8674i −0.509106 0.737568i
\(880\) −252.398 + 62.2105i −8.50834 + 2.09712i
\(881\) −6.52759 5.78294i −0.219920 0.194832i 0.545968 0.837806i \(-0.316162\pi\)
−0.765888 + 0.642974i \(0.777700\pi\)
\(882\) 3.32889 8.77756i 0.112090 0.295556i
\(883\) −35.7505 8.81170i −1.20310 0.296537i −0.413698 0.910414i \(-0.635763\pi\)
−0.789402 + 0.613877i \(0.789609\pi\)
\(884\) −16.2872 + 14.5656i −0.547797 + 0.489894i
\(885\) 24.0645 5.93136i 0.808918 0.199380i
\(886\) −10.6318 + 87.5604i −0.357181 + 2.94165i
\(887\) 11.8271 6.20736i 0.397116 0.208423i −0.254330 0.967118i \(-0.581855\pi\)
0.651446 + 0.758695i \(0.274163\pi\)
\(888\) 0.238338 + 0.628445i 0.00799809 + 0.0210892i
\(889\) 17.9911 + 4.43441i 0.603402 + 0.148725i
\(890\) −88.1873 + 78.1271i −2.95604 + 2.61883i
\(891\) −5.22623 1.28815i −0.175085 0.0431547i
\(892\) 82.9314 43.5257i 2.77675 1.45735i
\(893\) 53.2937 27.9707i 1.78341 0.936004i
\(894\) −5.51644 45.4320i −0.184497 1.51947i
\(895\) 5.73899 + 47.2648i 0.191833 + 1.57989i
\(896\) 29.9969 26.5749i 1.00213 0.887806i
\(897\) −18.8859 + 4.74868i −0.630583 + 0.158554i
\(898\) 57.3389 + 50.7978i 1.91342 + 1.69515i
\(899\) −11.3158 + 16.3938i −0.377404 + 0.546764i
\(900\) −16.6233 + 43.8320i −0.554109 + 1.46107i
\(901\) −0.767214 6.31858i −0.0255596 0.210502i
\(902\) 22.2793 183.486i 0.741818 6.10942i
\(903\) 3.82463 + 2.00732i 0.127276 + 0.0667994i
\(904\) 9.46140 13.7072i 0.314681 0.455895i
\(905\) −7.93645 20.9267i −0.263816 0.695627i
\(906\) −18.3831 + 16.2860i −0.610737 + 0.541066i
\(907\) −10.8721 + 15.7509i −0.361001 + 0.523001i −0.960834 0.277125i \(-0.910618\pi\)
0.599833 + 0.800125i \(0.295234\pi\)
\(908\) 56.3554 + 81.6449i 1.87022 + 2.70948i
\(909\) −1.07576 8.85965i −0.0356806 0.293856i
\(910\) 24.3637 + 63.3473i 0.807648 + 2.09994i
\(911\) 4.73986 39.0363i 0.157039 1.29333i −0.674671 0.738119i \(-0.735715\pi\)
0.831710 0.555211i \(-0.187362\pi\)
\(912\) −71.3035 + 37.4230i −2.36110 + 1.23920i
\(913\) 16.0850 + 42.4128i 0.532337 + 1.40366i
\(914\) 9.35193 77.0201i 0.309334 2.54760i
\(915\) 9.38215 0.310164
\(916\) −8.12818 + 66.9416i −0.268563 + 2.21181i
\(917\) −6.65388 9.63981i −0.219731 0.318335i
\(918\) −3.02362 + 0.745256i −0.0997944 + 0.0245971i
\(919\) −8.75600 + 12.6853i −0.288834 + 0.418448i −0.940362 0.340177i \(-0.889513\pi\)
0.651528 + 0.758625i \(0.274128\pi\)
\(920\) −170.412 + 42.0027i −5.61831 + 1.38479i
\(921\) −7.14584 3.75042i −0.235463 0.123581i
\(922\) −42.6322 22.3751i −1.40402 0.736884i
\(923\) −0.0883926 + 0.0222255i −0.00290948 + 0.000731561i
\(924\) −46.7345 + 24.5281i −1.53745 + 0.806917i
\(925\) −0.692051 −0.0227545
\(926\) 60.9607 + 31.9947i 2.00329 + 1.05141i
\(927\) 0.969441 2.55620i 0.0318406 0.0839568i
\(928\) 7.07888 + 58.2998i 0.232376 + 1.91379i
\(929\) 31.6293 7.79593i 1.03772 0.255776i 0.316584 0.948565i \(-0.397464\pi\)
0.721141 + 0.692788i \(0.243618\pi\)
\(930\) 57.4893 14.1698i 1.88515 0.464647i
\(931\) 2.62069 + 21.5833i 0.0858896 + 0.707364i
\(932\) 51.9046 136.861i 1.70019 4.48303i
\(933\) 23.6716 + 12.4238i 0.774973 + 0.406737i
\(934\) 76.8843 2.51573
\(935\) 20.6154 10.8198i 0.674195 0.353845i
\(936\) 17.6952 25.8940i 0.578387 0.846371i
\(937\) −15.5961 8.18544i −0.509501 0.267407i 0.190324 0.981721i \(-0.439046\pi\)
−0.699825 + 0.714315i \(0.746739\pi\)
\(938\) −57.2054 30.0237i −1.86782 0.980308i
\(939\) −12.4485 + 3.06828i −0.406242 + 0.100130i
\(940\) −107.325 + 155.487i −3.50055 + 5.07142i
\(941\) 40.0373 9.86831i 1.30518 0.321698i 0.475390 0.879775i \(-0.342307\pi\)
0.829789 + 0.558077i \(0.188461\pi\)
\(942\) 2.38160 + 3.45034i 0.0775966 + 0.112418i
\(943\) 8.31175 68.4534i 0.270668 2.22915i
\(944\) −85.7646 −2.79140
\(945\) −0.843607 + 6.94773i −0.0274425 + 0.226010i
\(946\) 11.8364 + 31.2100i 0.384834 + 1.01472i
\(947\) 11.6112 6.09401i 0.377312 0.198029i −0.265396 0.964139i \(-0.585503\pi\)
0.642709 + 0.766111i \(0.277811\pi\)
\(948\) −1.90834 + 15.7166i −0.0619802 + 0.510453i
\(949\) −2.30157 3.30129i −0.0747120 0.107164i
\(950\) −18.0874 148.963i −0.586832 4.83299i
\(951\) 4.04281 + 5.85701i 0.131097 + 0.189927i
\(952\) −10.7181 + 15.5278i −0.347375 + 0.503260i
\(953\) 8.18259 7.24914i 0.265060 0.234823i −0.520115 0.854096i \(-0.674111\pi\)
0.785176 + 0.619273i \(0.212573\pi\)
\(954\) 5.24313 + 13.8250i 0.169753 + 0.447601i
\(955\) 2.93312 4.24936i 0.0949135 0.137506i
\(956\) 44.9966 + 23.6160i 1.45529 + 0.763797i
\(957\) 2.19324 18.0630i 0.0708975 0.583893i
\(958\) −9.04382 74.4826i −0.292193 2.40642i
\(959\) −3.55742 + 9.38013i −0.114875 + 0.302900i
\(960\) 44.2941 64.1710i 1.42958 2.07111i
\(961\) −2.78760 2.46959i −0.0899224 0.0796643i
\(962\) 0.728380 + 0.175923i 0.0234839 + 0.00567199i
\(963\) −6.10653 + 5.40991i −0.196780 + 0.174332i
\(964\) −8.24679 67.9184i −0.265611 2.18751i
\(965\) 2.41383 + 19.8797i 0.0777038 + 0.639949i
\(966\) −24.0975 + 12.6473i −0.775324 + 0.406921i
\(967\) −51.3665 + 26.9592i −1.65183 + 0.866950i −0.658385 + 0.752681i \(0.728760\pi\)
−0.993450 + 0.114268i \(0.963548\pi\)
\(968\) −151.793 37.4136i −4.87881 1.20252i
\(969\) 5.39851 4.78266i 0.173425 0.153641i
\(970\) 19.1735 + 4.72584i 0.615623 + 0.151737i
\(971\) −1.05125 2.77192i −0.0337362 0.0889551i 0.917090 0.398681i \(-0.130532\pi\)
−0.950826 + 0.309726i \(0.899763\pi\)
\(972\) 4.63454 2.43240i 0.148653 0.0780191i
\(973\) −1.23985 + 10.2111i −0.0397478 + 0.327352i
\(974\) 59.4249 14.6469i 1.90410 0.469318i
\(975\) 18.4683 + 26.4903i 0.591459 + 0.848369i
\(976\) −31.5225 7.76959i −1.00901 0.248699i
\(977\) 10.0427 26.4805i 0.321296 0.847187i −0.672913 0.739722i \(-0.734957\pi\)
0.994209 0.107466i \(-0.0342735\pi\)
\(978\) 10.9729 + 9.72110i 0.350873 + 0.310847i
\(979\) −61.2800 + 15.1042i −1.95852 + 0.482731i
\(980\) −38.7692 56.1669i −1.23844 1.79419i
\(981\) 0.502769 + 4.14068i 0.0160522 + 0.132202i
\(982\) 25.9572 + 68.4434i 0.828326 + 2.18412i
\(983\) 13.7678 36.3026i 0.439124 1.15787i −0.514664 0.857392i \(-0.672083\pi\)
0.953787 0.300482i \(-0.0971476\pi\)
\(984\) 63.0862 + 91.3961i 2.01111 + 2.91360i
\(985\) −11.0565 2.72519i −0.352290 0.0868318i
\(986\) −3.73294 9.84296i −0.118881 0.313464i
\(987\) −6.41883 + 16.9251i −0.204314 + 0.538731i
\(988\) −13.6243 + 116.764i −0.433447 + 3.71475i
\(989\) 4.41581 + 11.6435i 0.140415 + 0.370243i
\(990\) −40.4829 + 35.8647i −1.28663 + 1.13985i
\(991\) −37.9838 −1.20659 −0.603297 0.797517i \(-0.706147\pi\)
−0.603297 + 0.797517i \(0.706147\pi\)
\(992\) −102.374 −3.25037
\(993\) −5.47301 + 4.84867i −0.173681 + 0.153868i
\(994\) −0.112785 + 0.0591939i −0.00357731 + 0.00187752i
\(995\) 1.06801 0.0338583
\(996\) −39.0561 20.4982i −1.23754 0.649511i
\(997\) 45.1676 + 40.0150i 1.43047 + 1.26729i 0.910755 + 0.412947i \(0.135501\pi\)
0.519716 + 0.854339i \(0.326038\pi\)
\(998\) 24.2155 + 35.0822i 0.766528 + 1.11051i
\(999\) 0.0578368 + 0.0512389i 0.00182988 + 0.00162113i
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 507.2.m.b.40.1 204
169.131 even 13 inner 507.2.m.b.469.1 yes 204
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
507.2.m.b.40.1 204 1.1 even 1 trivial
507.2.m.b.469.1 yes 204 169.131 even 13 inner