Properties

Label 98.2.e.a.15.3
Level $98$
Weight $2$
Character 98.15
Analytic conductor $0.783$
Analytic rank $0$
Dimension $18$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [98,2,Mod(15,98)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(98, base_ring=CyclotomicField(14))
 
chi = DirichletCharacter(H, H._module([10]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("98.15");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 98 = 2 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 98.e (of order \(7\), degree \(6\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(0.782533939809\)
Analytic rank: \(0\)
Dimension: \(18\)
Relative dimension: \(3\) over \(\Q(\zeta_{7})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{18} - \cdots)\)
comment: defining polynomial
 
gp: f.mod \\ as an extension of the character field
 
Defining polynomial: \( x^{18} - 6 x^{17} + 15 x^{16} - 23 x^{15} + 72 x^{14} - 85 x^{13} + 432 x^{12} - 282 x^{11} + 1786 x^{10} - 1092 x^{9} + 7272 x^{8} - 10168 x^{7} + 25378 x^{6} - 43359 x^{5} + \cdots + 729 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 7 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 15.3
Root \(1.35938 - 1.70461i\) of defining polynomial
Character \(\chi\) \(=\) 98.15
Dual form 98.2.e.a.85.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.222521 + 0.974928i) q^{2} +(1.98287 - 2.48644i) q^{3} +(-0.900969 - 0.433884i) q^{4} +(-1.57994 + 1.98119i) q^{5} +(1.98287 + 2.48644i) q^{6} +(2.54314 - 0.729681i) q^{7} +(0.623490 - 0.781831i) q^{8} +(-1.58305 - 6.93579i) q^{9} +O(q^{10})\) \(q+(-0.222521 + 0.974928i) q^{2} +(1.98287 - 2.48644i) q^{3} +(-0.900969 - 0.433884i) q^{4} +(-1.57994 + 1.98119i) q^{5} +(1.98287 + 2.48644i) q^{6} +(2.54314 - 0.729681i) q^{7} +(0.623490 - 0.781831i) q^{8} +(-1.58305 - 6.93579i) q^{9} +(-1.57994 - 1.98119i) q^{10} +(-0.406439 + 1.78073i) q^{11} +(-2.86533 + 1.37987i) q^{12} +(-0.451778 + 1.97937i) q^{13} +(0.145484 + 2.64175i) q^{14} +(1.79328 + 7.85687i) q^{15} +(0.623490 + 0.781831i) q^{16} +(-6.55291 + 3.15572i) q^{17} +7.11416 q^{18} -3.12221 q^{19} +(2.28308 - 1.09948i) q^{20} +(3.22841 - 7.77023i) q^{21} +(-1.64564 - 0.792497i) q^{22} +(0.839190 + 0.404133i) q^{23} +(-0.707678 - 3.10054i) q^{24} +(-0.316273 - 1.38568i) q^{25} +(-1.82921 - 0.880901i) q^{26} +(-11.7884 - 5.67700i) q^{27} +(-2.60789 - 0.446008i) q^{28} +(2.47457 - 1.19169i) q^{29} -8.05892 q^{30} +2.32310 q^{31} +(-0.900969 + 0.433884i) q^{32} +(3.62175 + 4.54153i) q^{33} +(-1.61844 - 7.09083i) q^{34} +(-2.57239 + 6.19129i) q^{35} +(-1.58305 + 6.93579i) q^{36} +(3.19756 - 1.53986i) q^{37} +(0.694757 - 3.04393i) q^{38} +(4.02576 + 5.04815i) q^{39} +(0.563875 + 2.47050i) q^{40} +(4.24882 - 5.32786i) q^{41} +(6.85703 + 4.87651i) q^{42} +(-4.86049 - 6.09486i) q^{43} +(1.13882 - 1.42803i) q^{44} +(16.2422 + 7.82184i) q^{45} +(-0.580738 + 0.728222i) q^{46} +(0.469323 - 2.05624i) q^{47} +3.18028 q^{48} +(5.93513 - 3.71136i) q^{49} +1.42132 q^{50} +(-5.14707 + 22.5508i) q^{51} +(1.26585 - 1.58733i) q^{52} +(3.11830 + 1.50169i) q^{53} +(8.15784 - 10.2296i) q^{54} +(-2.88580 - 3.61868i) q^{55} +(1.01514 - 2.44326i) q^{56} +(-6.19094 + 7.76319i) q^{57} +(0.611169 + 2.67770i) q^{58} +(1.07192 + 1.34415i) q^{59} +(1.79328 - 7.85687i) q^{60} +(-7.74453 + 3.72957i) q^{61} +(-0.516939 + 2.26486i) q^{62} +(-9.08683 - 16.4836i) q^{63} +(-0.222521 - 0.974928i) q^{64} +(-3.20771 - 4.02234i) q^{65} +(-5.23358 + 2.52036i) q^{66} +8.17902 q^{67} +7.27318 q^{68} +(2.66886 - 1.28525i) q^{69} +(-5.46365 - 3.88558i) q^{70} +(2.83187 + 1.36376i) q^{71} +(-6.40963 - 3.08672i) q^{72} +(-2.98534 - 13.0796i) q^{73} +(0.789732 + 3.46004i) q^{74} +(-4.07255 - 1.96124i) q^{75} +(2.81301 + 1.35468i) q^{76} +(0.265730 + 4.82521i) q^{77} +(-5.81739 + 2.80151i) q^{78} +1.17532 q^{79} -2.53403 q^{80} +(-18.2615 + 8.79429i) q^{81} +(4.24882 + 5.32786i) q^{82} +(2.31313 + 10.1345i) q^{83} +(-6.28007 + 5.59998i) q^{84} +(4.10117 - 17.9684i) q^{85} +(7.02361 - 3.38239i) q^{86} +(1.94368 - 8.51584i) q^{87} +(1.13882 + 1.42803i) q^{88} +(-2.28789 - 10.0239i) q^{89} +(-11.2400 + 14.0945i) q^{90} +(0.295372 + 5.36346i) q^{91} +(-0.580738 - 0.728222i) q^{92} +(4.60641 - 5.77626i) q^{93} +(1.90025 + 0.915113i) q^{94} +(4.93291 - 6.18568i) q^{95} +(-0.707678 + 3.10054i) q^{96} +0.616433 q^{97} +(2.29762 + 6.61218i) q^{98} +12.9942 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 18 q - 3 q^{2} + 3 q^{3} - 3 q^{4} - 6 q^{5} + 3 q^{6} - 7 q^{7} - 3 q^{8} + 10 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 18 q - 3 q^{2} + 3 q^{3} - 3 q^{4} - 6 q^{5} + 3 q^{6} - 7 q^{7} - 3 q^{8} + 10 q^{9} - 6 q^{10} - q^{11} - 4 q^{12} - 7 q^{14} - 9 q^{15} - 3 q^{16} - 11 q^{17} + 24 q^{18} + 36 q^{19} + q^{20} - 21 q^{21} - q^{22} + 5 q^{23} - 4 q^{24} - 23 q^{25} - 7 q^{26} - 12 q^{27} - 13 q^{29} - 16 q^{30} - 4 q^{31} - 3 q^{32} - 34 q^{33} - 11 q^{34} - 7 q^{35} + 10 q^{36} + 33 q^{37} + 15 q^{38} + 21 q^{39} + q^{40} - 28 q^{41} + 35 q^{42} - 20 q^{43} + 6 q^{44} + 20 q^{45} + 5 q^{46} + 36 q^{47} + 10 q^{48} + 49 q^{49} + 26 q^{50} - 20 q^{51} + 48 q^{53} + 2 q^{54} + 47 q^{55} + 7 q^{56} - 37 q^{57} + 36 q^{58} - 25 q^{59} - 9 q^{60} + q^{61} - 11 q^{62} - 35 q^{63} - 3 q^{64} - 56 q^{65} - 27 q^{66} + 34 q^{67} + 38 q^{68} + 23 q^{69} - 14 q^{70} - 6 q^{71} - 11 q^{72} - 39 q^{73} - 23 q^{74} - 47 q^{75} - 20 q^{76} - 28 q^{77} - 14 q^{78} - 2 q^{79} + 8 q^{80} - 34 q^{81} - 28 q^{82} + 35 q^{83} - 7 q^{84} + 33 q^{85} + 36 q^{86} + 48 q^{87} + 6 q^{88} - 6 q^{89} - 57 q^{90} - 35 q^{91} + 5 q^{92} + 36 q^{93} - 13 q^{94} - 17 q^{95} - 4 q^{96} + 56 q^{97} + 28 q^{98} + 106 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/98\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.222521 + 0.974928i −0.157346 + 0.689378i
\(3\) 1.98287 2.48644i 1.14481 1.43555i 0.262467 0.964941i \(-0.415464\pi\)
0.882344 0.470606i \(-0.155965\pi\)
\(4\) −0.900969 0.433884i −0.450484 0.216942i
\(5\) −1.57994 + 1.98119i −0.706572 + 0.886013i −0.997495 0.0707330i \(-0.977466\pi\)
0.290923 + 0.956746i \(0.406038\pi\)
\(6\) 1.98287 + 2.48644i 0.809503 + 1.01508i
\(7\) 2.54314 0.729681i 0.961217 0.275793i
\(8\) 0.623490 0.781831i 0.220437 0.276419i
\(9\) −1.58305 6.93579i −0.527683 2.31193i
\(10\) −1.57994 1.98119i −0.499622 0.626506i
\(11\) −0.406439 + 1.78073i −0.122546 + 0.536909i 0.875966 + 0.482373i \(0.160225\pi\)
−0.998512 + 0.0545358i \(0.982632\pi\)
\(12\) −2.86533 + 1.37987i −0.827150 + 0.398334i
\(13\) −0.451778 + 1.97937i −0.125301 + 0.548978i 0.872839 + 0.488008i \(0.162276\pi\)
−0.998140 + 0.0609695i \(0.980581\pi\)
\(14\) 0.145484 + 2.64175i 0.0388822 + 0.706037i
\(15\) 1.79328 + 7.85687i 0.463023 + 2.02863i
\(16\) 0.623490 + 0.781831i 0.155872 + 0.195458i
\(17\) −6.55291 + 3.15572i −1.58931 + 0.765373i −0.999122 0.0418895i \(-0.986662\pi\)
−0.590192 + 0.807263i \(0.700948\pi\)
\(18\) 7.11416 1.67682
\(19\) −3.12221 −0.716284 −0.358142 0.933667i \(-0.616590\pi\)
−0.358142 + 0.933667i \(0.616590\pi\)
\(20\) 2.28308 1.09948i 0.510513 0.245850i
\(21\) 3.22841 7.77023i 0.704497 1.69560i
\(22\) −1.64564 0.792497i −0.350851 0.168961i
\(23\) 0.839190 + 0.404133i 0.174983 + 0.0842675i 0.519325 0.854577i \(-0.326184\pi\)
−0.344342 + 0.938844i \(0.611898\pi\)
\(24\) −0.707678 3.10054i −0.144454 0.632895i
\(25\) −0.316273 1.38568i −0.0632547 0.277137i
\(26\) −1.82921 0.880901i −0.358738 0.172759i
\(27\) −11.7884 5.67700i −2.26868 1.09254i
\(28\) −2.60789 0.446008i −0.492844 0.0842876i
\(29\) 2.47457 1.19169i 0.459516 0.221291i −0.189780 0.981827i \(-0.560778\pi\)
0.649297 + 0.760535i \(0.275063\pi\)
\(30\) −8.05892 −1.47135
\(31\) 2.32310 0.417242 0.208621 0.977997i \(-0.433103\pi\)
0.208621 + 0.977997i \(0.433103\pi\)
\(32\) −0.900969 + 0.433884i −0.159270 + 0.0767005i
\(33\) 3.62175 + 4.54153i 0.630466 + 0.790579i
\(34\) −1.61844 7.09083i −0.277559 1.21607i
\(35\) −2.57239 + 6.19129i −0.434812 + 1.04652i
\(36\) −1.58305 + 6.93579i −0.263841 + 1.15597i
\(37\) 3.19756 1.53986i 0.525676 0.253152i −0.152173 0.988354i \(-0.548627\pi\)
0.677848 + 0.735202i \(0.262913\pi\)
\(38\) 0.694757 3.04393i 0.112704 0.493791i
\(39\) 4.02576 + 5.04815i 0.644638 + 0.808350i
\(40\) 0.563875 + 2.47050i 0.0891565 + 0.390620i
\(41\) 4.24882 5.32786i 0.663555 0.832071i −0.330170 0.943921i \(-0.607106\pi\)
0.993725 + 0.111850i \(0.0356776\pi\)
\(42\) 6.85703 + 4.87651i 1.05806 + 0.752461i
\(43\) −4.86049 6.09486i −0.741218 0.929458i 0.258110 0.966116i \(-0.416900\pi\)
−0.999328 + 0.0366578i \(0.988329\pi\)
\(44\) 1.13882 1.42803i 0.171683 0.215284i
\(45\) 16.2422 + 7.82184i 2.42125 + 1.16601i
\(46\) −0.580738 + 0.728222i −0.0856251 + 0.107370i
\(47\) 0.469323 2.05624i 0.0684578 0.299933i −0.929096 0.369839i \(-0.879413\pi\)
0.997554 + 0.0699059i \(0.0222699\pi\)
\(48\) 3.18028 0.459033
\(49\) 5.93513 3.71136i 0.847876 0.530195i
\(50\) 1.42132 0.201005
\(51\) −5.14707 + 22.5508i −0.720734 + 3.15774i
\(52\) 1.26585 1.58733i 0.175542 0.220123i
\(53\) 3.11830 + 1.50169i 0.428331 + 0.206273i 0.635613 0.772008i \(-0.280747\pi\)
−0.207282 + 0.978281i \(0.566462\pi\)
\(54\) 8.15784 10.2296i 1.11014 1.39207i
\(55\) −2.88580 3.61868i −0.389121 0.487942i
\(56\) 1.01514 2.44326i 0.135653 0.326494i
\(57\) −6.19094 + 7.76319i −0.820009 + 1.02826i
\(58\) 0.611169 + 2.67770i 0.0802504 + 0.351600i
\(59\) 1.07192 + 1.34415i 0.139552 + 0.174993i 0.846696 0.532077i \(-0.178588\pi\)
−0.707144 + 0.707070i \(0.750017\pi\)
\(60\) 1.79328 7.85687i 0.231511 1.01432i
\(61\) −7.74453 + 3.72957i −0.991585 + 0.477522i −0.858075 0.513525i \(-0.828339\pi\)
−0.133511 + 0.991047i \(0.542625\pi\)
\(62\) −0.516939 + 2.26486i −0.0656514 + 0.287637i
\(63\) −9.08683 16.4836i −1.14483 2.07673i
\(64\) −0.222521 0.974928i −0.0278151 0.121866i
\(65\) −3.20771 4.02234i −0.397868 0.498910i
\(66\) −5.23358 + 2.52036i −0.644210 + 0.310235i
\(67\) 8.17902 0.999226 0.499613 0.866249i \(-0.333476\pi\)
0.499613 + 0.866249i \(0.333476\pi\)
\(68\) 7.27318 0.882003
\(69\) 2.66886 1.28525i 0.321293 0.154726i
\(70\) −5.46365 3.88558i −0.653031 0.464416i
\(71\) 2.83187 + 1.36376i 0.336081 + 0.161848i 0.594311 0.804235i \(-0.297425\pi\)
−0.258230 + 0.966083i \(0.583139\pi\)
\(72\) −6.40963 3.08672i −0.755383 0.363773i
\(73\) −2.98534 13.0796i −0.349408 1.53086i −0.778529 0.627609i \(-0.784034\pi\)
0.429121 0.903247i \(-0.358824\pi\)
\(74\) 0.789732 + 3.46004i 0.0918045 + 0.402222i
\(75\) −4.07255 1.96124i −0.470258 0.226464i
\(76\) 2.81301 + 1.35468i 0.322675 + 0.155392i
\(77\) 0.265730 + 4.82521i 0.0302827 + 0.549883i
\(78\) −5.81739 + 2.80151i −0.658690 + 0.317208i
\(79\) 1.17532 0.132234 0.0661172 0.997812i \(-0.478939\pi\)
0.0661172 + 0.997812i \(0.478939\pi\)
\(80\) −2.53403 −0.283313
\(81\) −18.2615 + 8.79429i −2.02906 + 0.977143i
\(82\) 4.24882 + 5.32786i 0.469204 + 0.588363i
\(83\) 2.31313 + 10.1345i 0.253900 + 1.11241i 0.927651 + 0.373448i \(0.121825\pi\)
−0.673751 + 0.738958i \(0.735318\pi\)
\(84\) −6.28007 + 5.59998i −0.685212 + 0.611008i
\(85\) 4.10117 17.9684i 0.444834 1.94895i
\(86\) 7.02361 3.38239i 0.757376 0.364733i
\(87\) 1.94368 8.51584i 0.208385 0.912994i
\(88\) 1.13882 + 1.42803i 0.121398 + 0.152229i
\(89\) −2.28789 10.0239i −0.242516 1.06253i −0.938718 0.344686i \(-0.887985\pi\)
0.696202 0.717846i \(-0.254872\pi\)
\(90\) −11.2400 + 14.0945i −1.18480 + 1.48569i
\(91\) 0.295372 + 5.36346i 0.0309634 + 0.562244i
\(92\) −0.580738 0.728222i −0.0605461 0.0759224i
\(93\) 4.60641 5.77626i 0.477663 0.598970i
\(94\) 1.90025 + 0.915113i 0.195996 + 0.0943867i
\(95\) 4.93291 6.18568i 0.506106 0.634637i
\(96\) −0.707678 + 3.10054i −0.0722271 + 0.316448i
\(97\) 0.616433 0.0625893 0.0312946 0.999510i \(-0.490037\pi\)
0.0312946 + 0.999510i \(0.490037\pi\)
\(98\) 2.29762 + 6.61218i 0.232095 + 0.667931i
\(99\) 12.9942 1.30596
\(100\) −0.316273 + 1.38568i −0.0316273 + 0.138568i
\(101\) −5.62577 + 7.05449i −0.559785 + 0.701948i −0.978518 0.206161i \(-0.933903\pi\)
0.418733 + 0.908109i \(0.362474\pi\)
\(102\) −20.8401 10.0360i −2.06347 0.993717i
\(103\) −6.49351 + 8.14260i −0.639824 + 0.802314i −0.990981 0.134002i \(-0.957217\pi\)
0.351157 + 0.936317i \(0.385788\pi\)
\(104\) 1.26585 + 1.58733i 0.124127 + 0.155650i
\(105\) 10.2936 + 18.6726i 1.00455 + 1.82226i
\(106\) −2.15793 + 2.70596i −0.209596 + 0.262826i
\(107\) −0.231043 1.01227i −0.0223358 0.0978596i 0.962531 0.271170i \(-0.0874107\pi\)
−0.984867 + 0.173311i \(0.944554\pi\)
\(108\) 8.15784 + 10.2296i 0.784988 + 0.984344i
\(109\) −4.31436 + 18.9025i −0.413241 + 1.81053i 0.155294 + 0.987868i \(0.450367\pi\)
−0.568535 + 0.822659i \(0.692490\pi\)
\(110\) 4.17010 2.00821i 0.397603 0.191476i
\(111\) 2.51157 11.0039i 0.238387 1.04444i
\(112\) 2.15611 + 1.53336i 0.203733 + 0.144889i
\(113\) −4.37508 19.1685i −0.411573 1.80322i −0.576710 0.816949i \(-0.695664\pi\)
0.165137 0.986271i \(-0.447194\pi\)
\(114\) −6.19094 7.76319i −0.579834 0.727089i
\(115\) −2.12653 + 1.02409i −0.198300 + 0.0954964i
\(116\) −2.74657 −0.255012
\(117\) 14.4437 1.33532
\(118\) −1.54897 + 0.745945i −0.142594 + 0.0686698i
\(119\) −14.3623 + 12.8070i −1.31659 + 1.17401i
\(120\) 7.26084 + 3.49664i 0.662821 + 0.319198i
\(121\) 6.90487 + 3.32521i 0.627715 + 0.302292i
\(122\) −1.91274 8.38027i −0.173171 0.758714i
\(123\) −4.82253 21.1289i −0.434833 1.90513i
\(124\) −2.09304 1.00796i −0.187961 0.0905172i
\(125\) −8.17043 3.93467i −0.730785 0.351928i
\(126\) 18.0923 5.19106i 1.61179 0.462457i
\(127\) 10.0651 4.84711i 0.893135 0.430111i 0.0697305 0.997566i \(-0.477786\pi\)
0.823405 + 0.567455i \(0.192072\pi\)
\(128\) 1.00000 0.0883883
\(129\) −24.7922 −2.18283
\(130\) 4.63528 2.23223i 0.406541 0.195780i
\(131\) −0.566194 0.709984i −0.0494686 0.0620316i 0.756482 0.654015i \(-0.226917\pi\)
−0.805950 + 0.591983i \(0.798345\pi\)
\(132\) −1.29259 5.66320i −0.112505 0.492918i
\(133\) −7.94022 + 2.27822i −0.688504 + 0.197546i
\(134\) −1.82000 + 7.97395i −0.157224 + 0.688844i
\(135\) 29.8722 14.3857i 2.57099 1.23812i
\(136\) −1.61844 + 7.09083i −0.138780 + 0.608034i
\(137\) −7.03514 8.82179i −0.601052 0.753696i 0.384489 0.923130i \(-0.374378\pi\)
−0.985542 + 0.169434i \(0.945806\pi\)
\(138\) 0.659153 + 2.88794i 0.0561108 + 0.245838i
\(139\) −10.3356 + 12.9605i −0.876657 + 1.09929i 0.117684 + 0.993051i \(0.462453\pi\)
−0.994340 + 0.106242i \(0.966118\pi\)
\(140\) 5.00394 4.46204i 0.422910 0.377112i
\(141\) −4.18211 5.24420i −0.352197 0.441641i
\(142\) −1.95971 + 2.45740i −0.164455 + 0.206221i
\(143\) −3.34109 1.60898i −0.279396 0.134550i
\(144\) 4.43560 5.56207i 0.369634 0.463506i
\(145\) −1.54872 + 6.78539i −0.128614 + 0.563496i
\(146\) 13.4160 1.11032
\(147\) 2.54051 22.1165i 0.209538 1.82414i
\(148\) −3.54902 −0.291728
\(149\) −0.183437 + 0.803689i −0.0150277 + 0.0658408i −0.981886 0.189474i \(-0.939322\pi\)
0.966858 + 0.255314i \(0.0821790\pi\)
\(150\) 2.81829 3.53403i 0.230113 0.288552i
\(151\) 8.57689 + 4.13041i 0.697977 + 0.336128i 0.749001 0.662569i \(-0.230534\pi\)
−0.0510235 + 0.998697i \(0.516248\pi\)
\(152\) −1.94667 + 2.44104i −0.157895 + 0.197995i
\(153\) 32.2610 + 40.4540i 2.60814 + 3.27051i
\(154\) −4.76336 0.814642i −0.383842 0.0656458i
\(155\) −3.67037 + 4.60250i −0.294811 + 0.369682i
\(156\) −1.43678 6.29493i −0.115034 0.503998i
\(157\) 7.93928 + 9.95554i 0.633623 + 0.794539i 0.990189 0.139732i \(-0.0446240\pi\)
−0.356566 + 0.934270i \(0.616053\pi\)
\(158\) −0.261534 + 1.14586i −0.0208066 + 0.0911595i
\(159\) 9.91704 4.77580i 0.786473 0.378745i
\(160\) 0.563875 2.47050i 0.0445783 0.195310i
\(161\) 2.42907 + 0.415425i 0.191437 + 0.0327401i
\(162\) −4.51022 19.7606i −0.354357 1.55254i
\(163\) −0.724133 0.908034i −0.0567185 0.0711227i 0.752663 0.658406i \(-0.228769\pi\)
−0.809382 + 0.587283i \(0.800198\pi\)
\(164\) −6.13973 + 2.95674i −0.479432 + 0.230882i
\(165\) −14.7198 −1.14593
\(166\) −10.3951 −0.806819
\(167\) 19.3460 9.31654i 1.49704 0.720936i 0.507028 0.861929i \(-0.330744\pi\)
0.990010 + 0.140994i \(0.0450297\pi\)
\(168\) −4.06213 7.36873i −0.313400 0.568510i
\(169\) 7.99880 + 3.85202i 0.615293 + 0.296309i
\(170\) 16.6053 + 7.99669i 1.27357 + 0.613318i
\(171\) 4.94261 + 21.6550i 0.377971 + 1.65600i
\(172\) 1.73469 + 7.60017i 0.132269 + 0.579507i
\(173\) −13.5692 6.53459i −1.03165 0.496816i −0.160087 0.987103i \(-0.551178\pi\)
−0.871561 + 0.490287i \(0.836892\pi\)
\(174\) 7.86982 + 3.78991i 0.596609 + 0.287312i
\(175\) −1.81544 3.29321i −0.137234 0.248943i
\(176\) −1.64564 + 0.792497i −0.124045 + 0.0597367i
\(177\) 5.46762 0.410972
\(178\) 10.2817 0.770646
\(179\) 12.9728 6.24736i 0.969630 0.466949i 0.119104 0.992882i \(-0.461998\pi\)
0.850526 + 0.525933i \(0.176284\pi\)
\(180\) −11.2400 14.0945i −0.837778 1.05054i
\(181\) −2.15294 9.43266i −0.160027 0.701124i −0.989734 0.142924i \(-0.954349\pi\)
0.829707 0.558200i \(-0.188508\pi\)
\(182\) −5.29472 0.905516i −0.392470 0.0671213i
\(183\) −6.08304 + 26.6516i −0.449672 + 1.97014i
\(184\) 0.839190 0.404133i 0.0618659 0.0297931i
\(185\) −2.00121 + 8.76786i −0.147132 + 0.644626i
\(186\) 4.60641 + 5.77626i 0.337759 + 0.423536i
\(187\) −2.95610 12.9515i −0.216172 0.947111i
\(188\) −1.31501 + 1.64898i −0.0959073 + 0.120264i
\(189\) −34.1220 5.83564i −2.48201 0.424480i
\(190\) 4.93291 + 6.18568i 0.357871 + 0.448756i
\(191\) −10.8702 + 13.6308i −0.786542 + 0.986292i 0.213415 + 0.976962i \(0.431541\pi\)
−0.999956 + 0.00933042i \(0.997030\pi\)
\(192\) −2.86533 1.37987i −0.206787 0.0995836i
\(193\) −4.47250 + 5.60834i −0.321938 + 0.403697i −0.916295 0.400504i \(-0.868835\pi\)
0.594357 + 0.804201i \(0.297407\pi\)
\(194\) −0.137169 + 0.600978i −0.00984818 + 0.0431477i
\(195\) −16.3618 −1.17169
\(196\) −6.95767 + 0.768664i −0.496976 + 0.0549046i
\(197\) −19.0127 −1.35460 −0.677300 0.735707i \(-0.736850\pi\)
−0.677300 + 0.735707i \(0.736850\pi\)
\(198\) −2.89147 + 12.6684i −0.205488 + 0.900301i
\(199\) −3.07025 + 3.84998i −0.217644 + 0.272918i −0.878653 0.477461i \(-0.841557\pi\)
0.661009 + 0.750378i \(0.270129\pi\)
\(200\) −1.28057 0.616688i −0.0905496 0.0436064i
\(201\) 16.2179 20.3366i 1.14392 1.43444i
\(202\) −5.62577 7.05449i −0.395828 0.496352i
\(203\) 5.42363 4.83628i 0.380664 0.339441i
\(204\) 14.4218 18.0843i 1.00973 1.26616i
\(205\) 3.84258 + 16.8354i 0.268377 + 1.17584i
\(206\) −6.49351 8.14260i −0.452424 0.567322i
\(207\) 1.47450 6.46021i 0.102485 0.449016i
\(208\) −1.82921 + 0.880901i −0.126833 + 0.0610795i
\(209\) 1.26899 5.55980i 0.0877777 0.384579i
\(210\) −20.4950 + 5.88044i −1.41429 + 0.405789i
\(211\) 1.09553 + 4.79985i 0.0754197 + 0.330435i 0.998536 0.0540847i \(-0.0172241\pi\)
−0.923117 + 0.384520i \(0.874367\pi\)
\(212\) −2.15793 2.70596i −0.148207 0.185846i
\(213\) 9.00612 4.33712i 0.617089 0.297175i
\(214\) 1.03830 0.0709767
\(215\) 19.7544 1.34724
\(216\) −11.7884 + 5.67700i −0.802100 + 0.386271i
\(217\) 5.90798 1.69512i 0.401060 0.115073i
\(218\) −17.4685 8.41239i −1.18312 0.569759i
\(219\) −38.4413 18.5124i −2.59762 1.25095i
\(220\) 1.02993 + 4.51242i 0.0694378 + 0.304227i
\(221\) −3.28586 14.3963i −0.221031 0.968400i
\(222\) 10.1691 + 4.89719i 0.682507 + 0.328678i
\(223\) −17.5896 8.47072i −1.17789 0.567241i −0.260593 0.965449i \(-0.583918\pi\)
−0.917295 + 0.398207i \(0.869632\pi\)
\(224\) −1.97469 + 1.76085i −0.131940 + 0.117652i
\(225\) −9.11014 + 4.38721i −0.607343 + 0.292481i
\(226\) 19.6614 1.30786
\(227\) 17.6118 1.16893 0.584467 0.811418i \(-0.301304\pi\)
0.584467 + 0.811418i \(0.301304\pi\)
\(228\) 8.94616 4.30824i 0.592474 0.285320i
\(229\) 5.23904 + 6.56954i 0.346205 + 0.434128i 0.924198 0.381914i \(-0.124735\pi\)
−0.577992 + 0.816042i \(0.696164\pi\)
\(230\) −0.525211 2.30110i −0.0346314 0.151730i
\(231\) 12.5245 + 8.90704i 0.824051 + 0.586040i
\(232\) 0.611169 2.67770i 0.0401252 0.175800i
\(233\) −11.7027 + 5.63572i −0.766669 + 0.369208i −0.775987 0.630748i \(-0.782748\pi\)
0.00931876 + 0.999957i \(0.497034\pi\)
\(234\) −3.21402 + 14.0815i −0.210107 + 0.920538i
\(235\) 3.33229 + 4.17856i 0.217375 + 0.272579i
\(236\) −0.382564 1.67612i −0.0249028 0.109106i
\(237\) 2.33052 2.92237i 0.151383 0.189829i
\(238\) −9.28995 16.8520i −0.602178 1.09236i
\(239\) 6.10413 + 7.65433i 0.394843 + 0.495118i 0.939025 0.343850i \(-0.111731\pi\)
−0.544182 + 0.838968i \(0.683160\pi\)
\(240\) −5.02466 + 6.30072i −0.324340 + 0.406710i
\(241\) 18.5996 + 8.95708i 1.19810 + 0.576976i 0.923135 0.384477i \(-0.125618\pi\)
0.274969 + 0.961453i \(0.411332\pi\)
\(242\) −4.77832 + 5.99182i −0.307162 + 0.385169i
\(243\) −5.60926 + 24.5758i −0.359834 + 1.57654i
\(244\) 8.59578 0.550288
\(245\) −2.02427 + 17.6223i −0.129326 + 1.12585i
\(246\) 21.6723 1.38177
\(247\) 1.41054 6.18000i 0.0897508 0.393224i
\(248\) 1.44843 1.81628i 0.0919755 0.115334i
\(249\) 29.7855 + 14.3439i 1.88758 + 0.909010i
\(250\) 5.65411 7.09003i 0.357597 0.448413i
\(251\) 5.65748 + 7.09426i 0.357097 + 0.447786i 0.927636 0.373485i \(-0.121837\pi\)
−0.570539 + 0.821270i \(0.693266\pi\)
\(252\) 1.03500 + 18.7938i 0.0651986 + 1.18390i
\(253\) −1.06073 + 1.33011i −0.0666875 + 0.0836234i
\(254\) 2.48588 + 10.8914i 0.155978 + 0.683384i
\(255\) −36.5452 45.8263i −2.28855 2.86975i
\(256\) −0.222521 + 0.974928i −0.0139076 + 0.0609330i
\(257\) 3.44531 1.65917i 0.214912 0.103496i −0.323331 0.946286i \(-0.604803\pi\)
0.538243 + 0.842790i \(0.319088\pi\)
\(258\) 5.51679 24.1706i 0.343460 1.50480i
\(259\) 7.00824 6.24929i 0.435471 0.388312i
\(260\) 1.14482 + 5.01578i 0.0709987 + 0.311065i
\(261\) −12.1827 15.2766i −0.754089 0.945598i
\(262\) 0.818173 0.394012i 0.0505469 0.0243421i
\(263\) −29.7763 −1.83609 −0.918044 0.396479i \(-0.870232\pi\)
−0.918044 + 0.396479i \(0.870232\pi\)
\(264\) 5.80884 0.357509
\(265\) −7.90186 + 3.80534i −0.485408 + 0.233760i
\(266\) −0.454232 8.24809i −0.0278507 0.505723i
\(267\) −29.4604 14.1874i −1.80295 0.868255i
\(268\) −7.36904 3.54874i −0.450136 0.216774i
\(269\) 2.65415 + 11.6286i 0.161826 + 0.709006i 0.989105 + 0.147214i \(0.0470307\pi\)
−0.827279 + 0.561792i \(0.810112\pi\)
\(270\) 7.37783 + 32.3244i 0.449001 + 1.96720i
\(271\) 9.94786 + 4.79064i 0.604290 + 0.291011i 0.710903 0.703290i \(-0.248286\pi\)
−0.106613 + 0.994301i \(0.534001\pi\)
\(272\) −6.55291 3.15572i −0.397329 0.191343i
\(273\) 13.9216 + 9.90062i 0.842574 + 0.599213i
\(274\) 10.1661 4.89572i 0.614155 0.295761i
\(275\) 2.59607 0.156549
\(276\) −2.96221 −0.178304
\(277\) 19.6155 9.44632i 1.17858 0.567574i 0.261083 0.965316i \(-0.415920\pi\)
0.917497 + 0.397742i \(0.130206\pi\)
\(278\) −10.3356 12.9605i −0.619890 0.777317i
\(279\) −3.67759 16.1126i −0.220171 0.964634i
\(280\) 3.23669 + 5.87138i 0.193429 + 0.350882i
\(281\) −1.81930 + 7.97087i −0.108530 + 0.475502i 0.891229 + 0.453554i \(0.149844\pi\)
−0.999759 + 0.0219482i \(0.993013\pi\)
\(282\) 6.04332 2.91031i 0.359875 0.173307i
\(283\) −3.51601 + 15.4047i −0.209005 + 0.915712i 0.756225 + 0.654312i \(0.227042\pi\)
−0.965230 + 0.261401i \(0.915816\pi\)
\(284\) −1.95971 2.45740i −0.116288 0.145820i
\(285\) −5.59899 24.5308i −0.331656 1.45308i
\(286\) 2.31211 2.89929i 0.136718 0.171439i
\(287\) 6.91772 16.6498i 0.408340 0.982805i
\(288\) 4.43560 + 5.56207i 0.261371 + 0.327748i
\(289\) 22.3828 28.0671i 1.31663 1.65101i
\(290\) −6.27064 3.01978i −0.368225 0.177328i
\(291\) 1.22231 1.53272i 0.0716529 0.0898499i
\(292\) −2.98534 + 13.0796i −0.174704 + 0.765428i
\(293\) 21.5665 1.25993 0.629964 0.776625i \(-0.283070\pi\)
0.629964 + 0.776625i \(0.283070\pi\)
\(294\) 20.9967 + 7.39820i 1.22455 + 0.431472i
\(295\) −4.35658 −0.253650
\(296\) 0.789732 3.46004i 0.0459022 0.201111i
\(297\) 14.9005 18.6846i 0.864612 1.08419i
\(298\) −0.742720 0.357675i −0.0430246 0.0207196i
\(299\) −1.17905 + 1.47849i −0.0681865 + 0.0855031i
\(300\) 2.81829 + 3.53403i 0.162714 + 0.204037i
\(301\) −16.8082 11.9535i −0.968809 0.688988i
\(302\) −5.93539 + 7.44274i −0.341543 + 0.428282i
\(303\) 6.38541 + 27.9763i 0.366832 + 1.60720i
\(304\) −1.94667 2.44104i −0.111649 0.140003i
\(305\) 4.84695 21.2359i 0.277535 1.21596i
\(306\) −46.6184 + 22.4503i −2.66500 + 1.28340i
\(307\) −6.18817 + 27.1121i −0.353177 + 1.54737i 0.416619 + 0.909081i \(0.363215\pi\)
−0.769796 + 0.638290i \(0.779642\pi\)
\(308\) 1.85416 4.46266i 0.105651 0.254283i
\(309\) 7.37031 + 32.2914i 0.419282 + 1.83700i
\(310\) −3.67037 4.60250i −0.208463 0.261405i
\(311\) 27.3746 13.1829i 1.55227 0.747535i 0.555789 0.831324i \(-0.312416\pi\)
0.996484 + 0.0837886i \(0.0267021\pi\)
\(312\) 6.45682 0.365545
\(313\) −18.4577 −1.04329 −0.521647 0.853162i \(-0.674682\pi\)
−0.521647 + 0.853162i \(0.674682\pi\)
\(314\) −11.4726 + 5.52491i −0.647436 + 0.311789i
\(315\) 47.0137 + 8.04041i 2.64892 + 0.453026i
\(316\) −1.05893 0.509954i −0.0595695 0.0286872i
\(317\) −8.12773 3.91411i −0.456499 0.219838i 0.191480 0.981496i \(-0.438671\pi\)
−0.647979 + 0.761658i \(0.724386\pi\)
\(318\) 2.44931 + 10.7311i 0.137350 + 0.601771i
\(319\) 1.11631 + 4.89088i 0.0625015 + 0.273837i
\(320\) 2.28308 + 1.09948i 0.127628 + 0.0614625i
\(321\) −2.97507 1.43272i −0.166052 0.0799666i
\(322\) −0.945528 + 2.27572i −0.0526922 + 0.126821i
\(323\) 20.4596 9.85281i 1.13840 0.548225i
\(324\) 20.2688 1.12604
\(325\) 2.88566 0.160068
\(326\) 1.04640 0.503921i 0.0579549 0.0279096i
\(327\) 38.4450 + 48.2085i 2.12601 + 2.66594i
\(328\) −1.51639 6.64373i −0.0837285 0.366839i
\(329\) −0.306843 5.57176i −0.0169168 0.307181i
\(330\) 3.27546 14.3507i 0.180308 0.789982i
\(331\) −5.84493 + 2.81477i −0.321266 + 0.154714i −0.587565 0.809177i \(-0.699913\pi\)
0.266299 + 0.963890i \(0.414199\pi\)
\(332\) 2.31313 10.1345i 0.126950 0.556203i
\(333\) −15.7421 19.7399i −0.862660 1.08174i
\(334\) 4.77807 + 20.9341i 0.261444 + 1.14546i
\(335\) −12.9224 + 16.2042i −0.706025 + 0.885327i
\(336\) 8.08789 2.32059i 0.441231 0.126598i
\(337\) −8.64107 10.8356i −0.470709 0.590250i 0.488636 0.872488i \(-0.337495\pi\)
−0.959345 + 0.282238i \(0.908923\pi\)
\(338\) −5.53534 + 6.94110i −0.301083 + 0.377546i
\(339\) −56.3365 27.1302i −3.05978 1.47351i
\(340\) −11.4912 + 14.4095i −0.623199 + 0.781466i
\(341\) −0.944200 + 4.13681i −0.0511313 + 0.224021i
\(342\) −22.2119 −1.20108
\(343\) 12.3858 13.7693i 0.668769 0.743471i
\(344\) −7.79562 −0.420312
\(345\) −1.67032 + 7.31813i −0.0899267 + 0.393995i
\(346\) 9.39019 11.7749i 0.504820 0.633024i
\(347\) −5.35651 2.57956i −0.287552 0.138478i 0.284547 0.958662i \(-0.408157\pi\)
−0.572100 + 0.820184i \(0.693871\pi\)
\(348\) −5.44608 + 6.82917i −0.291941 + 0.366082i
\(349\) −12.4234 15.5785i −0.665012 0.833898i 0.328867 0.944376i \(-0.393333\pi\)
−0.993879 + 0.110478i \(0.964762\pi\)
\(350\) 3.61462 1.03711i 0.193209 0.0554359i
\(351\) 16.5626 20.7689i 0.884047 1.10856i
\(352\) −0.406439 1.78073i −0.0216633 0.0949130i
\(353\) −2.17739 2.73036i −0.115891 0.145323i 0.720502 0.693453i \(-0.243911\pi\)
−0.836393 + 0.548130i \(0.815340\pi\)
\(354\) −1.21666 + 5.33054i −0.0646648 + 0.283315i
\(355\) −7.17604 + 3.45580i −0.380865 + 0.183415i
\(356\) −2.28789 + 10.0239i −0.121258 + 0.531266i
\(357\) 3.36515 + 61.1056i 0.178103 + 3.23405i
\(358\) 3.20401 + 14.0377i 0.169337 + 0.741914i
\(359\) −14.0863 17.6636i −0.743444 0.932250i 0.255963 0.966687i \(-0.417608\pi\)
−0.999407 + 0.0344371i \(0.989036\pi\)
\(360\) 16.2422 7.82184i 0.856040 0.412247i
\(361\) −9.25181 −0.486937
\(362\) 9.67523 0.508519
\(363\) 21.9594 10.5751i 1.15257 0.555048i
\(364\) 2.06100 4.96047i 0.108026 0.259999i
\(365\) 30.6299 + 14.7506i 1.60324 + 0.772080i
\(366\) −24.6297 11.8611i −1.28742 0.619988i
\(367\) −1.58735 6.95465i −0.0828591 0.363030i 0.916452 0.400145i \(-0.131040\pi\)
−0.999311 + 0.0371154i \(0.988183\pi\)
\(368\) 0.207263 + 0.908078i 0.0108043 + 0.0473368i
\(369\) −43.6790 21.0347i −2.27384 1.09502i
\(370\) −8.10272 3.90206i −0.421240 0.202859i
\(371\) 9.02602 + 1.54365i 0.468608 + 0.0801425i
\(372\) −6.65646 + 3.20558i −0.345121 + 0.166202i
\(373\) 5.60689 0.290314 0.145157 0.989409i \(-0.453631\pi\)
0.145157 + 0.989409i \(0.453631\pi\)
\(374\) 13.2846 0.686931
\(375\) −25.9842 + 12.5133i −1.34182 + 0.646186i
\(376\) −1.31501 1.64898i −0.0678167 0.0850395i
\(377\) 1.24084 + 5.43646i 0.0639064 + 0.279992i
\(378\) 13.2822 31.9679i 0.683162 1.64425i
\(379\) 3.38173 14.8163i 0.173708 0.761064i −0.810743 0.585403i \(-0.800936\pi\)
0.984451 0.175661i \(-0.0562064\pi\)
\(380\) −7.12827 + 3.43279i −0.365672 + 0.176099i
\(381\) 7.90579 34.6375i 0.405026 1.77453i
\(382\) −10.8702 13.6308i −0.556169 0.697414i
\(383\) 2.75915 + 12.0886i 0.140986 + 0.617699i 0.995207 + 0.0977896i \(0.0311772\pi\)
−0.854221 + 0.519910i \(0.825966\pi\)
\(384\) 1.98287 2.48644i 0.101188 0.126886i
\(385\) −9.97947 7.09709i −0.508601 0.361701i
\(386\) −4.47250 5.60834i −0.227644 0.285457i
\(387\) −34.5783 + 43.3598i −1.75771 + 2.20410i
\(388\) −0.555387 0.267460i −0.0281955 0.0135782i
\(389\) −3.04139 + 3.81378i −0.154205 + 0.193366i −0.852933 0.522021i \(-0.825178\pi\)
0.698728 + 0.715387i \(0.253750\pi\)
\(390\) 3.64084 15.9516i 0.184361 0.807739i
\(391\) −6.77447 −0.342599
\(392\) 0.798835 6.95427i 0.0403472 0.351244i
\(393\) −2.88802 −0.145681
\(394\) 4.23073 18.5360i 0.213141 0.933831i
\(395\) −1.85695 + 2.32854i −0.0934331 + 0.117161i
\(396\) −11.7073 5.63795i −0.588315 0.283318i
\(397\) −0.943418 + 1.18301i −0.0473488 + 0.0593735i −0.804942 0.593353i \(-0.797804\pi\)
0.757593 + 0.652727i \(0.226375\pi\)
\(398\) −3.07025 3.84998i −0.153898 0.192982i
\(399\) −10.0798 + 24.2603i −0.504620 + 1.21453i
\(400\) 0.886178 1.11123i 0.0443089 0.0555616i
\(401\) 1.90640 + 8.35248i 0.0952010 + 0.417103i 0.999961 0.00881871i \(-0.00280712\pi\)
−0.904760 + 0.425921i \(0.859950\pi\)
\(402\) 16.2179 + 20.3366i 0.808877 + 1.01430i
\(403\) −1.04953 + 4.59828i −0.0522806 + 0.229056i
\(404\) 8.12948 3.91495i 0.404457 0.194776i
\(405\) 11.4291 50.0740i 0.567914 2.48819i
\(406\) 3.50816 + 6.36382i 0.174107 + 0.315831i
\(407\) 1.44246 + 6.31984i 0.0715002 + 0.313263i
\(408\) 14.4218 + 18.0843i 0.713984 + 0.895308i
\(409\) 8.08728 3.89463i 0.399890 0.192577i −0.223120 0.974791i \(-0.571624\pi\)
0.623010 + 0.782214i \(0.285910\pi\)
\(410\) −17.2684 −0.852824
\(411\) −35.8846 −1.77006
\(412\) 9.38339 4.51880i 0.462286 0.222625i
\(413\) 3.70685 + 2.63620i 0.182402 + 0.129719i
\(414\) 5.97013 + 2.87506i 0.293416 + 0.141302i
\(415\) −23.7330 11.4292i −1.16501 0.561037i
\(416\) −0.451778 1.97937i −0.0221502 0.0970465i
\(417\) 11.7312 + 51.3979i 0.574481 + 2.51696i
\(418\) 5.13803 + 2.47434i 0.251309 + 0.121024i
\(419\) 9.18611 + 4.42380i 0.448771 + 0.216117i 0.644598 0.764522i \(-0.277025\pi\)
−0.195827 + 0.980638i \(0.562739\pi\)
\(420\) −1.17244 21.2896i −0.0572094 1.03883i
\(421\) −32.4239 + 15.6146i −1.58025 + 0.761007i −0.998623 0.0524518i \(-0.983296\pi\)
−0.581623 + 0.813458i \(0.697582\pi\)
\(422\) −4.92329 −0.239662
\(423\) −15.0046 −0.729549
\(424\) 3.11830 1.50169i 0.151438 0.0729286i
\(425\) 6.44534 + 8.08220i 0.312645 + 0.392044i
\(426\) 2.22433 + 9.74542i 0.107769 + 0.472167i
\(427\) −16.9740 + 15.1359i −0.821431 + 0.732475i
\(428\) −0.231043 + 1.01227i −0.0111679 + 0.0489298i
\(429\) −10.6256 + 5.11701i −0.513008 + 0.247052i
\(430\) −4.39576 + 19.2591i −0.211982 + 0.928755i
\(431\) 25.5246 + 32.0068i 1.22947 + 1.54171i 0.745278 + 0.666754i \(0.232317\pi\)
0.484197 + 0.874959i \(0.339112\pi\)
\(432\) −2.91150 12.7561i −0.140080 0.613729i
\(433\) −8.37313 + 10.4996i −0.402387 + 0.504577i −0.941201 0.337848i \(-0.890301\pi\)
0.538814 + 0.842425i \(0.318873\pi\)
\(434\) 0.337975 + 6.13706i 0.0162233 + 0.294588i
\(435\) 13.8006 + 17.3053i 0.661686 + 0.829728i
\(436\) 12.0886 15.1586i 0.578938 0.725965i
\(437\) −2.62013 1.26179i −0.125338 0.0603595i
\(438\) 26.6022 33.3581i 1.27110 1.59391i
\(439\) 6.34595 27.8034i 0.302876 1.32698i −0.562889 0.826533i \(-0.690310\pi\)
0.865764 0.500452i \(-0.166833\pi\)
\(440\) −4.62846 −0.220653
\(441\) −35.1368 35.2896i −1.67318 1.68046i
\(442\) 14.7665 0.702372
\(443\) 6.23042 27.2973i 0.296016 1.29693i −0.579986 0.814626i \(-0.696942\pi\)
0.876003 0.482306i \(-0.160201\pi\)
\(444\) −7.03725 + 8.82444i −0.333973 + 0.418789i
\(445\) 23.4740 + 11.3045i 1.11277 + 0.535883i
\(446\) 12.1724 15.2637i 0.576380 0.722758i
\(447\) 1.63459 + 2.04972i 0.0773136 + 0.0969482i
\(448\) −1.27729 2.31701i −0.0603462 0.109468i
\(449\) −15.8533 + 19.8794i −0.748163 + 0.938167i −0.999558 0.0297176i \(-0.990539\pi\)
0.251395 + 0.967885i \(0.419111\pi\)
\(450\) −2.25002 9.85798i −0.106067 0.464710i
\(451\) 7.76056 + 9.73144i 0.365431 + 0.458236i
\(452\) −4.37508 + 19.1685i −0.205787 + 0.901610i
\(453\) 27.2769 13.1358i 1.28158 0.617176i
\(454\) −3.91899 + 17.1702i −0.183927 + 0.805837i
\(455\) −11.0927 7.88878i −0.520033 0.369832i
\(456\) 2.20952 + 9.68054i 0.103470 + 0.453333i
\(457\) 1.77923 + 2.23108i 0.0832289 + 0.104366i 0.821703 0.569917i \(-0.193025\pi\)
−0.738474 + 0.674282i \(0.764453\pi\)
\(458\) −7.57063 + 3.64582i −0.353752 + 0.170358i
\(459\) 95.1635 4.44185
\(460\) 2.36028 0.110048
\(461\) 9.30084 4.47905i 0.433183 0.208610i −0.204568 0.978852i \(-0.565579\pi\)
0.637751 + 0.770242i \(0.279865\pi\)
\(462\) −11.4707 + 10.2285i −0.533664 + 0.475872i
\(463\) 23.8596 + 11.4902i 1.10885 + 0.533994i 0.896430 0.443184i \(-0.146151\pi\)
0.212420 + 0.977179i \(0.431866\pi\)
\(464\) 2.47457 + 1.19169i 0.114879 + 0.0553228i
\(465\) 4.16597 + 18.2523i 0.193192 + 0.846431i
\(466\) −2.89033 12.6633i −0.133892 0.586618i
\(467\) 3.65054 + 1.75801i 0.168927 + 0.0813509i 0.516436 0.856326i \(-0.327258\pi\)
−0.347510 + 0.937676i \(0.612973\pi\)
\(468\) −13.0133 6.26687i −0.601540 0.289686i
\(469\) 20.8004 5.96807i 0.960473 0.275580i
\(470\) −4.81530 + 2.31893i −0.222113 + 0.106964i
\(471\) 40.4964 1.86598
\(472\) 1.71923 0.0791339
\(473\) 12.8288 6.17801i 0.589867 0.284065i
\(474\) 2.33052 + 2.92237i 0.107044 + 0.134229i
\(475\) 0.987472 + 4.32640i 0.0453083 + 0.198509i
\(476\) 18.4967 5.30710i 0.847796 0.243251i
\(477\) 5.47901 24.0051i 0.250867 1.09912i
\(478\) −8.82072 + 4.24783i −0.403450 + 0.194291i
\(479\) −1.53247 + 6.71420i −0.0700204 + 0.306779i −0.997796 0.0663598i \(-0.978861\pi\)
0.927775 + 0.373139i \(0.121719\pi\)
\(480\) −5.02466 6.30072i −0.229343 0.287587i
\(481\) 1.60337 + 7.02482i 0.0731074 + 0.320304i
\(482\) −12.8713 + 16.1401i −0.586272 + 0.735162i
\(483\) 5.84945 5.21599i 0.266159 0.237336i
\(484\) −4.77832 5.99182i −0.217196 0.272355i
\(485\) −0.973929 + 1.22127i −0.0442238 + 0.0554549i
\(486\) −22.7114 10.9373i −1.03021 0.496124i
\(487\) −19.6445 + 24.6334i −0.890178 + 1.11625i 0.102413 + 0.994742i \(0.467344\pi\)
−0.992591 + 0.121506i \(0.961228\pi\)
\(488\) −1.91274 + 8.38027i −0.0865857 + 0.379357i
\(489\) −3.69364 −0.167032
\(490\) −16.7301 5.89486i −0.755788 0.266303i
\(491\) −5.61128 −0.253234 −0.126617 0.991952i \(-0.540412\pi\)
−0.126617 + 0.991952i \(0.540412\pi\)
\(492\) −4.82253 + 21.1289i −0.217417 + 0.952564i
\(493\) −12.4550 + 15.6181i −0.560945 + 0.703403i
\(494\) 5.71118 + 2.75036i 0.256958 + 0.123744i
\(495\) −20.5300 + 25.7438i −0.922756 + 1.15710i
\(496\) 1.44843 + 1.81628i 0.0650365 + 0.0815532i
\(497\) 8.19694 + 1.40186i 0.367683 + 0.0628822i
\(498\) −20.6122 + 25.8469i −0.923655 + 1.15823i
\(499\) −6.24844 27.3762i −0.279719 1.22553i −0.898150 0.439689i \(-0.855089\pi\)
0.618431 0.785839i \(-0.287769\pi\)
\(500\) 5.65411 + 7.09003i 0.252860 + 0.317076i
\(501\) 15.1956 66.5762i 0.678888 2.97440i
\(502\) −8.17530 + 3.93702i −0.364882 + 0.175718i
\(503\) 0.894055 3.91711i 0.0398639 0.174655i −0.951077 0.308954i \(-0.900021\pi\)
0.990941 + 0.134299i \(0.0428782\pi\)
\(504\) −18.5529 3.17297i −0.826413 0.141335i
\(505\) −5.08787 22.2914i −0.226407 0.991954i
\(506\) −1.06073 1.33011i −0.0471552 0.0591307i
\(507\) 25.4384 12.2505i 1.12976 0.544063i
\(508\) −11.1714 −0.495653
\(509\) 11.3267 0.502049 0.251025 0.967981i \(-0.419233\pi\)
0.251025 + 0.967981i \(0.419233\pi\)
\(510\) 52.8094 25.4317i 2.33844 1.12613i
\(511\) −17.1361 31.0850i −0.758057 1.37512i
\(512\) −0.900969 0.433884i −0.0398176 0.0191751i
\(513\) 36.8059 + 17.7248i 1.62502 + 0.782569i
\(514\) 0.850920 + 3.72813i 0.0375325 + 0.164441i
\(515\) −5.87263 25.7297i −0.258779 1.13379i
\(516\) 22.3370 + 10.7569i 0.983333 + 0.473548i
\(517\) 3.47085 + 1.67147i 0.152648 + 0.0735113i
\(518\) 4.53313 + 8.22312i 0.199174 + 0.361303i
\(519\) −43.1538 + 20.7818i −1.89424 + 0.912220i
\(520\) −5.14477 −0.225613
\(521\) −21.1144 −0.925040 −0.462520 0.886609i \(-0.653055\pi\)
−0.462520 + 0.886609i \(0.653055\pi\)
\(522\) 17.6045 8.47787i 0.770527 0.371066i
\(523\) −27.3377 34.2804i −1.19539 1.49898i −0.820245 0.572012i \(-0.806163\pi\)
−0.375149 0.926965i \(-0.622408\pi\)
\(524\) 0.202072 + 0.885336i 0.00882756 + 0.0386761i
\(525\) −11.7881 2.01604i −0.514477 0.0879872i
\(526\) 6.62586 29.0298i 0.288901 1.26576i
\(527\) −15.2231 + 7.33106i −0.663128 + 0.319346i
\(528\) −1.29259 + 5.66320i −0.0562527 + 0.246459i
\(529\) −13.7993 17.3038i −0.599972 0.752341i
\(530\) −1.95160 8.55051i −0.0847720 0.371411i
\(531\) 7.62582 9.56247i 0.330932 0.414976i
\(532\) 8.14237 + 1.39253i 0.353017 + 0.0603738i
\(533\) 8.62626 + 10.8170i 0.373645 + 0.468536i
\(534\) 20.3873 25.5648i 0.882243 1.10630i
\(535\) 2.37053 + 1.14159i 0.102487 + 0.0493550i
\(536\) 5.09953 6.39461i 0.220266 0.276205i
\(537\) 10.1896 44.6437i 0.439715 1.92652i
\(538\) −11.9276 −0.514236
\(539\) 4.19665 + 12.0773i 0.180762 + 0.520205i
\(540\) −33.1557 −1.42679
\(541\) −4.64957 + 20.3711i −0.199901 + 0.875822i 0.771094 + 0.636721i \(0.219710\pi\)
−0.970995 + 0.239101i \(0.923147\pi\)
\(542\) −6.88414 + 8.63243i −0.295699 + 0.370795i
\(543\) −27.7227 13.3506i −1.18970 0.572928i
\(544\) 4.53475 5.68640i 0.194426 0.243803i
\(545\) −30.6328 38.4124i −1.31217 1.64541i
\(546\) −12.7502 + 11.3695i −0.545660 + 0.486569i
\(547\) 7.36518 9.23564i 0.314912 0.394888i −0.599033 0.800724i \(-0.704448\pi\)
0.913946 + 0.405836i \(0.133020\pi\)
\(548\) 2.51081 + 11.0006i 0.107257 + 0.469922i
\(549\) 38.1275 + 47.8103i 1.62724 + 2.04050i
\(550\) −0.577680 + 2.53098i −0.0246324 + 0.107921i
\(551\) −7.72613 + 3.72071i −0.329144 + 0.158507i
\(552\) 0.659153 2.88794i 0.0280554 0.122919i
\(553\) 2.98902 0.857612i 0.127106 0.0364694i
\(554\) 4.84462 + 21.2257i 0.205828 + 0.901793i
\(555\) 17.8326 + 22.3614i 0.756953 + 0.949189i
\(556\) 14.9354 7.19252i 0.633403 0.305031i
\(557\) −19.8831 −0.842474 −0.421237 0.906951i \(-0.638404\pi\)
−0.421237 + 0.906951i \(0.638404\pi\)
\(558\) 16.5269 0.699641
\(559\) 14.2598 6.86717i 0.603127 0.290450i
\(560\) −6.44440 + 1.84903i −0.272326 + 0.0781360i
\(561\) −38.0648 18.3310i −1.60710 0.773937i
\(562\) −7.36619 3.54737i −0.310724 0.149637i
\(563\) 1.26960 + 5.56246i 0.0535071 + 0.234430i 0.994609 0.103692i \(-0.0330656\pi\)
−0.941102 + 0.338122i \(0.890208\pi\)
\(564\) 1.49258 + 6.53941i 0.0628489 + 0.275359i
\(565\) 44.8887 + 21.6173i 1.88848 + 0.909446i
\(566\) −14.2361 6.85572i −0.598386 0.288167i
\(567\) −40.0246 + 35.6902i −1.68088 + 1.49885i
\(568\) 2.83187 1.36376i 0.118823 0.0572219i
\(569\) 11.3810 0.477117 0.238559 0.971128i \(-0.423325\pi\)
0.238559 + 0.971128i \(0.423325\pi\)
\(570\) 25.1616 1.05391
\(571\) −27.4670 + 13.2274i −1.14946 + 0.553551i −0.908871 0.417077i \(-0.863055\pi\)
−0.240588 + 0.970627i \(0.577340\pi\)
\(572\) 2.31211 + 2.89929i 0.0966740 + 0.121225i
\(573\) 12.3380 + 54.0563i 0.515427 + 2.25823i
\(574\) 14.6930 + 10.4492i 0.613274 + 0.436141i
\(575\) 0.294587 1.29067i 0.0122851 0.0538246i
\(576\) −6.40963 + 3.08672i −0.267068 + 0.128613i
\(577\) 4.13757 18.1279i 0.172249 0.754673i −0.812820 0.582515i \(-0.802069\pi\)
0.985069 0.172158i \(-0.0550741\pi\)
\(578\) 22.3828 + 28.0671i 0.931001 + 1.16744i
\(579\) 5.07641 + 22.2412i 0.210969 + 0.924314i
\(580\) 4.33942 5.44146i 0.180185 0.225944i
\(581\) 13.2776 + 24.0856i 0.550847 + 0.999240i
\(582\) 1.22231 + 1.53272i 0.0506662 + 0.0635334i
\(583\) −3.94150 + 4.94248i −0.163240 + 0.204697i
\(584\) −12.0874 5.82099i −0.500180 0.240874i
\(585\) −22.8202 + 28.6156i −0.943498 + 1.18311i
\(586\) −4.79899 + 21.0258i −0.198245 + 0.868566i
\(587\) 7.81683 0.322635 0.161318 0.986903i \(-0.448426\pi\)
0.161318 + 0.986903i \(0.448426\pi\)
\(588\) −11.8849 + 18.8240i −0.490126 + 0.776288i
\(589\) −7.25322 −0.298864
\(590\) 0.969431 4.24735i 0.0399108 0.174861i
\(591\) −37.6997 + 47.2740i −1.55076 + 1.94459i
\(592\) 3.19756 + 1.53986i 0.131419 + 0.0632880i
\(593\) −4.29670 + 5.38790i −0.176445 + 0.221254i −0.862187 0.506589i \(-0.830906\pi\)
0.685743 + 0.727844i \(0.259477\pi\)
\(594\) 14.9005 + 18.6846i 0.611373 + 0.766638i
\(595\) −2.68134 48.6887i −0.109924 1.99604i
\(596\) 0.513978 0.644509i 0.0210534 0.0264001i
\(597\) 3.48482 + 15.2680i 0.142624 + 0.624878i
\(598\) −1.17905 1.47849i −0.0482151 0.0604598i
\(599\) 4.40483 19.2988i 0.179977 0.788529i −0.801662 0.597778i \(-0.796051\pi\)
0.981638 0.190751i \(-0.0610923\pi\)
\(600\) −4.07255 + 1.96124i −0.166261 + 0.0800672i
\(601\) −2.53015 + 11.0853i −0.103207 + 0.452180i 0.896746 + 0.442545i \(0.145924\pi\)
−0.999954 + 0.00963530i \(0.996933\pi\)
\(602\) 15.3940 13.7269i 0.627411 0.559467i
\(603\) −12.9478 56.7279i −0.527274 2.31014i
\(604\) −5.93539 7.44274i −0.241508 0.302841i
\(605\) −17.4972 + 8.42619i −0.711361 + 0.342573i
\(606\) −28.6958 −1.16569
\(607\) −5.40897 −0.219543 −0.109772 0.993957i \(-0.535012\pi\)
−0.109772 + 0.993957i \(0.535012\pi\)
\(608\) 2.81301 1.35468i 0.114083 0.0549394i
\(609\) −1.27078 23.0752i −0.0514946 0.935056i
\(610\) 19.6249 + 9.45085i 0.794589 + 0.382654i
\(611\) 3.85802 + 1.85793i 0.156079 + 0.0751637i
\(612\) −11.5138 50.4453i −0.465418 2.03913i
\(613\) −7.85550 34.4172i −0.317281 1.39010i −0.842301 0.539008i \(-0.818799\pi\)
0.525020 0.851090i \(-0.324058\pi\)
\(614\) −25.0554 12.0660i −1.01115 0.486946i
\(615\) 49.4796 + 23.8281i 1.99521 + 0.960843i
\(616\) 3.93818 + 2.80071i 0.158674 + 0.112844i
\(617\) 42.8464 20.6338i 1.72493 0.830684i 0.736982 0.675912i \(-0.236250\pi\)
0.987950 0.154772i \(-0.0494642\pi\)
\(618\) −33.1219 −1.33236
\(619\) 23.7009 0.952620 0.476310 0.879277i \(-0.341974\pi\)
0.476310 + 0.879277i \(0.341974\pi\)
\(620\) 5.30384 2.55420i 0.213007 0.102579i
\(621\) −7.59846 9.52817i −0.304916 0.382352i
\(622\) 6.76097 + 29.6218i 0.271090 + 1.18772i
\(623\) −13.1327 23.8228i −0.526150 0.954440i
\(624\) −1.43678 + 6.29493i −0.0575171 + 0.251999i
\(625\) 27.1070 13.0540i 1.08428 0.522161i
\(626\) 4.10723 17.9950i 0.164158 0.719224i
\(627\) −11.3079 14.1796i −0.451593 0.566279i
\(628\) −2.83350 12.4144i −0.113069 0.495387i
\(629\) −16.0940 + 20.1812i −0.641708 + 0.804676i
\(630\) −18.3004 + 44.0458i −0.729104 + 1.75483i
\(631\) −2.47518 3.10378i −0.0985353 0.123559i 0.730119 0.683320i \(-0.239465\pi\)
−0.828654 + 0.559761i \(0.810893\pi\)
\(632\) 0.732803 0.918906i 0.0291493 0.0365521i
\(633\) 14.1068 + 6.79350i 0.560697 + 0.270017i
\(634\) 5.62456 7.05298i 0.223380 0.280110i
\(635\) −6.29930 + 27.5990i −0.249980 + 1.09523i
\(636\) −11.0071 −0.436459
\(637\) 4.66479 + 13.4245i 0.184826 + 0.531899i
\(638\) −5.01666 −0.198611
\(639\) 4.97574 21.8001i 0.196837 0.862400i
\(640\) −1.57994 + 1.98119i −0.0624527 + 0.0783133i
\(641\) −1.05675 0.508902i −0.0417390 0.0201004i 0.412898 0.910777i \(-0.364517\pi\)
−0.454637 + 0.890677i \(0.650231\pi\)
\(642\) 2.05881 2.58167i 0.0812549 0.101890i
\(643\) −3.81496 4.78381i −0.150447 0.188655i 0.700897 0.713263i \(-0.252783\pi\)
−0.851344 + 0.524608i \(0.824212\pi\)
\(644\) −2.00827 1.42822i −0.0791368 0.0562797i
\(645\) 39.1703 49.1180i 1.54233 1.93402i
\(646\) 5.05309 + 22.1391i 0.198811 + 0.871049i
\(647\) −21.7671 27.2950i −0.855751 1.07308i −0.996546 0.0830392i \(-0.973537\pi\)
0.140795 0.990039i \(-0.455034\pi\)
\(648\) −4.51022 + 19.7606i −0.177178 + 0.776269i
\(649\) −2.82923 + 1.36248i −0.111057 + 0.0534822i
\(650\) −0.642121 + 2.81331i −0.0251860 + 0.110347i
\(651\) 7.49993 18.0511i 0.293946 0.707477i
\(652\) 0.258440 + 1.13230i 0.0101213 + 0.0443443i
\(653\) −25.7103 32.2397i −1.00612 1.26164i −0.964936 0.262484i \(-0.915458\pi\)
−0.0411845 0.999152i \(-0.513113\pi\)
\(654\) −55.5546 + 26.7537i −2.17236 + 1.04615i
\(655\) 2.30116 0.0899139
\(656\) 6.81458 0.266065
\(657\) −85.9917 + 41.4114i −3.35486 + 1.61561i
\(658\) 5.50035 + 0.940684i 0.214426 + 0.0366717i
\(659\) 26.0040 + 12.5229i 1.01297 + 0.487821i 0.865321 0.501219i \(-0.167115\pi\)
0.147650 + 0.989040i \(0.452829\pi\)
\(660\) 13.2621 + 6.38668i 0.516225 + 0.248601i
\(661\) −1.31212 5.74875i −0.0510354 0.223601i 0.942979 0.332853i \(-0.108011\pi\)
−0.994014 + 0.109253i \(0.965154\pi\)
\(662\) −1.44358 6.32473i −0.0561062 0.245817i
\(663\) −42.3110 20.3759i −1.64322 0.791334i
\(664\) 9.36569 + 4.51028i 0.363459 + 0.175033i
\(665\) 8.03153 19.3305i 0.311449 0.749605i
\(666\) 22.7479 10.9548i 0.881465 0.424491i
\(667\) 2.55824 0.0990553
\(668\) −21.4724 −0.830794
\(669\) −55.9399 + 26.9392i −2.16276 + 1.04153i
\(670\) −12.9224 16.2042i −0.499235 0.626021i
\(671\) −3.49366 15.3067i −0.134871 0.590910i
\(672\) 0.462679 + 8.40149i 0.0178482 + 0.324095i
\(673\) −9.04709 + 39.6379i −0.348740 + 1.52793i 0.431306 + 0.902206i \(0.358053\pi\)
−0.780046 + 0.625722i \(0.784804\pi\)
\(674\) 12.4867 6.01328i 0.480970 0.231623i
\(675\) −4.13817 + 18.1305i −0.159278 + 0.697844i
\(676\) −5.53534 6.94110i −0.212898 0.266965i
\(677\) −2.08960 9.15516i −0.0803100 0.351861i 0.918768 0.394798i \(-0.129186\pi\)
−0.999078 + 0.0429372i \(0.986328\pi\)
\(678\) 38.9861 48.8870i 1.49725 1.87749i
\(679\) 1.56768 0.449799i 0.0601619 0.0172617i
\(680\) −11.4912 14.4095i −0.440668 0.552580i
\(681\) 34.9218 43.7906i 1.33821 1.67806i
\(682\) −3.82299 1.84105i −0.146390 0.0704976i
\(683\) −15.5477 + 19.4962i −0.594916 + 0.746001i −0.984576 0.174957i \(-0.944021\pi\)
0.389660 + 0.920959i \(0.372593\pi\)
\(684\) 4.94261 21.6550i 0.188985 0.827999i
\(685\) 28.5927 1.09247
\(686\) 10.6680 + 15.1392i 0.407304 + 0.578017i
\(687\) 26.7231 1.01955
\(688\) 1.73469 7.60017i 0.0661344 0.289754i
\(689\) −4.38118 + 5.49382i −0.166910 + 0.209298i
\(690\) −6.76297 3.25687i −0.257462 0.123987i
\(691\) 30.3213 38.0217i 1.15348 1.44641i 0.279698 0.960088i \(-0.409766\pi\)
0.873778 0.486325i \(-0.161663\pi\)
\(692\) 9.39019 + 11.7749i 0.356961 + 0.447615i
\(693\) 33.0460 9.48158i 1.25531 0.360176i
\(694\) 3.70682 4.64820i 0.140709 0.176443i
\(695\) −9.34740 40.9536i −0.354567 1.55346i
\(696\) −5.44608 6.82917i −0.206433 0.258859i
\(697\) −11.0290 + 48.3211i −0.417752 + 1.83029i
\(698\) 17.9524 8.64542i 0.679508 0.327234i
\(699\) −9.19203 + 40.2729i −0.347675 + 1.52326i
\(700\) 0.206779 + 3.75477i 0.00781552 + 0.141917i
\(701\) 6.02033 + 26.3768i 0.227385 + 0.996237i 0.951763 + 0.306834i \(0.0992698\pi\)
−0.724378 + 0.689403i \(0.757873\pi\)
\(702\) 16.5626 + 20.7689i 0.625116 + 0.783870i
\(703\) −9.98345 + 4.80778i −0.376533 + 0.181329i
\(704\) 1.82652 0.0688396
\(705\) 16.9972 0.640153
\(706\) 3.14642 1.51524i 0.118417 0.0570267i
\(707\) −9.15960 + 22.0456i −0.344482 + 0.829110i
\(708\) −4.92616 2.37231i −0.185136 0.0891570i
\(709\) 45.8686 + 22.0892i 1.72263 + 0.829576i 0.988619 + 0.150441i \(0.0480695\pi\)
0.734014 + 0.679135i \(0.237645\pi\)
\(710\) −1.77234 7.76511i −0.0665146 0.291420i
\(711\) −1.86060 8.15180i −0.0697778 0.305717i
\(712\) −9.26349 4.46106i −0.347164 0.167185i
\(713\) 1.94953 + 0.938842i 0.0730103 + 0.0351599i
\(714\) −60.3223 10.3165i −2.25751 0.386085i
\(715\) 8.46643 4.07722i 0.316626 0.152479i
\(716\) −14.3987 −0.538104
\(717\) 31.1357 1.16279
\(718\) 20.3552 9.80256i 0.759650 0.365828i
\(719\) 6.18849 + 7.76012i 0.230792 + 0.289404i 0.883720 0.468016i \(-0.155031\pi\)
−0.652928 + 0.757420i \(0.726460\pi\)
\(720\) 4.01150 + 17.5755i 0.149500 + 0.655001i
\(721\) −10.5724 + 25.4460i −0.393737 + 0.947657i
\(722\) 2.05872 9.01984i 0.0766176 0.335684i
\(723\) 59.1518 28.4860i 2.19988 1.05941i
\(724\) −2.15294 + 9.43266i −0.0800135 + 0.350562i
\(725\) −2.43395 3.05207i −0.0903946 0.113351i
\(726\) 5.42352 + 23.7620i 0.201286 + 0.881890i
\(727\) 14.0147 17.5739i 0.519777 0.651779i −0.450785 0.892633i \(-0.648856\pi\)
0.970562 + 0.240853i \(0.0774272\pi\)
\(728\) 4.37749 + 3.11313i 0.162240 + 0.115380i
\(729\) 12.0717 + 15.1374i 0.447099 + 0.560645i
\(730\) −21.1965 + 26.5796i −0.784519 + 0.983756i
\(731\) 51.0840 + 24.6008i 1.88941 + 0.909892i
\(732\) 17.0443 21.3729i 0.629976 0.789965i
\(733\) −9.18642 + 40.2484i −0.339308 + 1.48661i 0.461206 + 0.887293i \(0.347417\pi\)
−0.800514 + 0.599314i \(0.795440\pi\)
\(734\) 7.13350 0.263302
\(735\) 39.8030 + 39.9760i 1.46816 + 1.47454i
\(736\) −0.931431 −0.0343330
\(737\) −3.32427 + 14.5646i −0.122451 + 0.536493i
\(738\) 30.2268 37.9032i 1.11266 1.39524i
\(739\) −31.8368 15.3318i −1.17113 0.563989i −0.255819 0.966725i \(-0.582345\pi\)
−0.915316 + 0.402736i \(0.868059\pi\)
\(740\) 5.60726 7.03128i 0.206127 0.258475i
\(741\) −12.5693 15.7614i −0.461744 0.579008i
\(742\) −3.51343 + 8.45623i −0.128982 + 0.310438i
\(743\) 12.2020 15.3009i 0.447649 0.561334i −0.505892 0.862597i \(-0.668837\pi\)
0.953541 + 0.301263i \(0.0974081\pi\)
\(744\) −1.64401 7.20288i −0.0602723 0.264070i
\(745\) −1.30244 1.63321i −0.0477176 0.0598360i
\(746\) −1.24765 + 5.46632i −0.0456797 + 0.200136i
\(747\) 66.6290 32.0868i 2.43783 1.17400i
\(748\) −2.95610 + 12.9515i −0.108086 + 0.473555i
\(749\) −1.32621 2.40575i −0.0484586 0.0879042i
\(750\) −6.41757 28.1172i −0.234337 1.02670i
\(751\) 30.0938 + 37.7364i 1.09814 + 1.37702i 0.919492 + 0.393108i \(0.128600\pi\)
0.178646 + 0.983913i \(0.442828\pi\)
\(752\) 1.90025 0.915113i 0.0692950 0.0333707i
\(753\) 28.8575 1.05163
\(754\) −5.57627 −0.203076
\(755\) −21.7341 + 10.4666i −0.790985 + 0.380918i
\(756\) 28.2109 + 20.0627i 1.02602 + 0.729674i
\(757\) −38.4585 18.5206i −1.39780 0.673144i −0.425084 0.905154i \(-0.639756\pi\)
−0.972713 + 0.232010i \(0.925470\pi\)
\(758\) 13.6924 + 6.59389i 0.497329 + 0.239501i
\(759\) 1.20396 + 5.27488i 0.0437009 + 0.191466i
\(760\) −1.76054 7.71342i −0.0638614 0.279795i
\(761\) −5.42103 2.61063i −0.196512 0.0946353i 0.333040 0.942913i \(-0.391926\pi\)
−0.529552 + 0.848278i \(0.677640\pi\)
\(762\) 32.0099 + 15.4151i 1.15960 + 0.558432i
\(763\) 2.82073 + 51.2197i 0.102117 + 1.85428i
\(764\) 15.7079 7.56454i 0.568293 0.273675i
\(765\) −131.117 −4.74056
\(766\) −12.3995 −0.448012
\(767\) −3.14483 + 1.51447i −0.113553 + 0.0546844i
\(768\) 1.98287 + 2.48644i 0.0715507 + 0.0897217i
\(769\) −4.26852 18.7016i −0.153927 0.674397i −0.991721 0.128411i \(-0.959012\pi\)
0.837794 0.545986i \(-0.183845\pi\)
\(770\) 9.13980 8.15001i 0.329375 0.293706i
\(771\) 2.70616 11.8565i 0.0974600 0.427000i
\(772\) 6.46295 3.11239i 0.232607 0.112018i
\(773\) 6.18677 27.1060i 0.222523 0.974935i −0.733049 0.680176i \(-0.761903\pi\)
0.955572 0.294759i \(-0.0952395\pi\)
\(774\) −34.5783 43.3598i −1.24289 1.55854i
\(775\) −0.734736 3.21909i −0.0263925 0.115633i
\(776\) 0.384340 0.481947i 0.0137970 0.0173009i
\(777\) −1.64206 29.8171i −0.0589086 1.06968i
\(778\) −3.04139 3.81378i −0.109039 0.136731i
\(779\) −13.2657 + 16.6347i −0.475294 + 0.596000i
\(780\) 14.7415 + 7.09912i 0.527829 + 0.254189i
\(781\) −3.57946 + 4.48850i −0.128083 + 0.160611i
\(782\) 1.50746 6.60462i 0.0539067 0.236181i
\(783\) −35.9365 −1.28427
\(784\) 6.60215 + 2.32628i 0.235791 + 0.0830813i
\(785\) −32.2674 −1.15167
\(786\) 0.642645 2.81561i 0.0229224 0.100430i
\(787\) 27.2361 34.1530i 0.970861 1.21742i −0.00521364 0.999986i \(-0.501660\pi\)
0.976075 0.217435i \(-0.0697690\pi\)
\(788\) 17.1299 + 8.24930i 0.610226 + 0.293869i
\(789\) −59.0426 + 74.0371i −2.10197 + 2.63579i
\(790\) −1.85695 2.32854i −0.0660672 0.0828456i
\(791\) −25.1133 45.5558i −0.892927 1.61978i
\(792\) 8.10172 10.1592i 0.287882 0.360993i
\(793\) −3.88338 17.0142i −0.137903 0.604192i
\(794\) −0.943418 1.18301i −0.0334807 0.0419834i
\(795\) −6.20662 + 27.1930i −0.220126 + 0.964436i
\(796\) 4.43664 2.13658i 0.157253 0.0757289i
\(797\) 6.75526 29.5967i 0.239284 1.04837i −0.702377 0.711805i \(-0.747878\pi\)
0.941660 0.336564i \(-0.109265\pi\)
\(798\) −21.4091 15.2255i −0.757873 0.538976i
\(799\) 3.41347 + 14.9554i 0.120760 + 0.529084i
\(800\) 0.886178 + 1.11123i 0.0313311 + 0.0392880i
\(801\) −65.9019 + 31.7367i −2.32853 + 1.12136i
\(802\) −8.56728 −0.302521
\(803\) 24.5046 0.864749
\(804\) −23.4356 + 11.2860i −0.826509 + 0.398026i
\(805\) −4.66082 + 4.15608i −0.164272 + 0.146483i
\(806\) −4.24945 2.04643i −0.149680 0.0720823i
\(807\) 34.1766 + 16.4586i 1.20307 + 0.579369i
\(808\) 2.00781 + 8.79681i 0.0706347 + 0.309471i
\(809\) 0.412438 + 1.80701i 0.0145006 + 0.0635311i 0.981661 0.190637i \(-0.0610554\pi\)
−0.967160 + 0.254168i \(0.918198\pi\)
\(810\) 46.2753 + 22.2850i 1.62595 + 0.783015i
\(811\) −10.9558 5.27603i −0.384710 0.185267i 0.231525 0.972829i \(-0.425628\pi\)
−0.616235 + 0.787562i \(0.711343\pi\)
\(812\) −6.98491 + 2.00412i −0.245122 + 0.0703307i
\(813\) 31.6370 15.2356i 1.10956 0.534334i
\(814\) −6.48236 −0.227207
\(815\) 2.94307 0.103091
\(816\) −20.8401 + 10.0360i −0.729548 + 0.351332i
\(817\) 15.1755 + 19.0294i 0.530922 + 0.665756i
\(818\) 1.99739 + 8.75115i 0.0698372 + 0.305977i
\(819\) 36.7323 10.5393i 1.28353 0.368272i
\(820\) 3.84258 16.8354i 0.134189 0.587919i
\(821\) −29.5042 + 14.2085i −1.02970 + 0.495880i −0.870915 0.491433i \(-0.836473\pi\)
−0.158789 + 0.987313i \(0.550759\pi\)
\(822\) 7.98508 34.9849i 0.278512 1.22024i
\(823\) 27.1443 + 34.0379i 0.946191 + 1.18649i 0.982333 + 0.187140i \(0.0599217\pi\)
−0.0361420 + 0.999347i \(0.511507\pi\)
\(824\) 2.31751 + 10.1537i 0.0807341 + 0.353719i
\(825\) 5.14767 6.45497i 0.179219 0.224733i
\(826\) −3.39495 + 3.02730i −0.118125 + 0.105333i
\(827\) 3.05486 + 3.83067i 0.106228 + 0.133206i 0.832103 0.554621i \(-0.187137\pi\)
−0.725875 + 0.687826i \(0.758565\pi\)
\(828\) −4.13146 + 5.18068i −0.143578 + 0.180041i
\(829\) −14.7022 7.08021i −0.510629 0.245906i 0.160784 0.986990i \(-0.448598\pi\)
−0.671413 + 0.741084i \(0.734312\pi\)
\(830\) 16.4237 20.5947i 0.570076 0.714852i
\(831\) 15.4072 67.5035i 0.534471 2.34167i
\(832\) 2.03027 0.0703870
\(833\) −27.1804 + 43.0498i −0.941745 + 1.49159i
\(834\) −52.7196 −1.82553
\(835\) −12.1078 + 53.0476i −0.419007 + 1.83579i
\(836\) −3.55562 + 4.45861i −0.122974 + 0.154204i
\(837\) −27.3857 13.1883i −0.946589 0.455853i
\(838\) −6.35699 + 7.97141i −0.219598 + 0.275368i
\(839\) −8.88819 11.1454i −0.306855 0.384783i 0.604363 0.796709i \(-0.293428\pi\)
−0.911217 + 0.411926i \(0.864856\pi\)
\(840\) 21.0168 + 3.59434i 0.725147 + 0.124017i
\(841\) −13.3778 + 16.7753i −0.461304 + 0.578458i
\(842\) −8.00805 35.0856i −0.275976 1.20913i
\(843\) 16.2117 + 20.3288i 0.558359 + 0.700160i
\(844\) 1.09553 4.79985i 0.0377099 0.165218i
\(845\) −20.2692 + 9.76115i −0.697283 + 0.335794i
\(846\) 3.33884 14.6284i 0.114792 0.502935i
\(847\) 19.9864 + 3.41813i 0.686740 + 0.117448i
\(848\) 0.770156 + 3.37427i 0.0264472 + 0.115873i
\(849\) 31.3310 + 39.2878i 1.07528 + 1.34835i
\(850\) −9.31378 + 4.48528i −0.319460 + 0.153844i
\(851\) 3.30567 0.113317
\(852\) −9.99604 −0.342459
\(853\) 4.31016 2.07566i 0.147577 0.0710693i −0.358638 0.933477i \(-0.616759\pi\)
0.506215 + 0.862408i \(0.331044\pi\)
\(854\) −10.9793 19.9165i −0.375703 0.681529i
\(855\) −50.7116 24.4214i −1.73430 0.835195i
\(856\) −0.935476 0.450501i −0.0319739 0.0153978i
\(857\) 0.775468 + 3.39755i 0.0264895 + 0.116058i 0.986444 0.164097i \(-0.0524711\pi\)
−0.959955 + 0.280155i \(0.909614\pi\)
\(858\) −2.62430 11.4978i −0.0895922 0.392529i
\(859\) 25.8352 + 12.4416i 0.881487 + 0.424502i 0.819167 0.573555i \(-0.194436\pi\)
0.0623195 + 0.998056i \(0.480150\pi\)
\(860\) −17.7981 8.57109i −0.606909 0.292272i
\(861\) −27.6817 50.2148i −0.943391 1.71132i
\(862\) −36.8841 + 17.7624i −1.25628 + 0.604991i
\(863\) 5.04543 0.171749 0.0858743 0.996306i \(-0.472632\pi\)
0.0858743 + 0.996306i \(0.472632\pi\)
\(864\) 13.0842 0.445132
\(865\) 34.3848 16.5589i 1.16912 0.563018i
\(866\) −8.37313 10.4996i −0.284530 0.356790i
\(867\) −25.4051 111.307i −0.862801 3.78018i
\(868\) −6.05839 1.03612i −0.205635 0.0351683i
\(869\) −0.477698 + 2.09293i −0.0162048 + 0.0709978i
\(870\) −19.9424 + 9.60374i −0.676110 + 0.325597i
\(871\) −3.69510 + 16.1893i −0.125204 + 0.548553i
\(872\) 12.0886 + 15.1586i 0.409371 + 0.513335i
\(873\) −0.975844 4.27545i −0.0330273 0.144702i
\(874\) 1.81318 2.27366i 0.0613319 0.0769077i
\(875\) −23.6496 4.04462i −0.799503 0.136733i
\(876\) 26.6022 + 33.3581i 0.898805 + 1.12707i
\(877\) 7.42684 9.31296i 0.250787 0.314476i −0.640464 0.767989i \(-0.721258\pi\)
0.891250 + 0.453512i \(0.149829\pi\)
\(878\) 25.6942 + 12.3737i 0.867138 + 0.417592i
\(879\) 42.7635 53.6238i 1.44238 1.80869i
\(880\) 1.02993 4.51242i 0.0347189 0.152114i
\(881\) 39.5068 1.33102 0.665508 0.746390i \(-0.268215\pi\)
0.665508 + 0.746390i \(0.268215\pi\)
\(882\) 42.2235 26.4032i 1.42174 0.889042i
\(883\) −23.6098 −0.794532 −0.397266 0.917703i \(-0.630041\pi\)
−0.397266 + 0.917703i \(0.630041\pi\)
\(884\) −3.28586 + 14.3963i −0.110515 + 0.484200i
\(885\) −8.63853 + 10.8324i −0.290381 + 0.364126i
\(886\) 25.2265 + 12.1484i 0.847500 + 0.408134i
\(887\) −25.3623 + 31.8033i −0.851583 + 1.06785i 0.145333 + 0.989383i \(0.453575\pi\)
−0.996917 + 0.0784689i \(0.974997\pi\)
\(888\) −7.03725 8.82444i −0.236155 0.296129i
\(889\) 22.0602 19.6712i 0.739875 0.659751i
\(890\) −16.2445 + 20.3700i −0.544517 + 0.682802i
\(891\) −8.23802 36.0931i −0.275984 1.20916i
\(892\) 12.1724 + 15.2637i 0.407562 + 0.511067i
\(893\) −1.46533 + 6.42001i −0.0490353 + 0.214838i
\(894\) −2.36206 + 1.13751i −0.0789990 + 0.0380439i
\(895\) −8.11906 + 35.5719i −0.271390 + 1.18904i
\(896\) 2.54314 0.729681i 0.0849604 0.0243769i
\(897\) 1.33826 + 5.86329i 0.0446832 + 0.195770i
\(898\) −15.8533 19.8794i −0.529031 0.663384i
\(899\) 5.74869 2.76842i 0.191729 0.0923320i
\(900\) 10.1115 0.337050
\(901\) −25.1728 −0.838629
\(902\) −11.2143 + 5.40054i −0.373397 + 0.179818i
\(903\) −63.0501 + 18.0904i −2.09818 + 0.602011i
\(904\) −17.7143 8.53078i −0.589170 0.283730i
\(905\) 22.0894 + 10.6377i 0.734276 + 0.353608i
\(906\) 6.73683 + 29.5160i 0.223816 + 0.980603i
\(907\) −9.47298 41.5038i −0.314545 1.37811i −0.846973 0.531636i \(-0.821577\pi\)
0.532428 0.846476i \(-0.321280\pi\)
\(908\) −15.8677 7.64146i −0.526586 0.253591i
\(909\) 57.8344 + 27.8516i 1.91824 + 0.923778i
\(910\) 10.1593 9.05915i 0.336779 0.300308i
\(911\) −28.4474 + 13.6995i −0.942504 + 0.453886i −0.841052 0.540954i \(-0.818063\pi\)
−0.101452 + 0.994840i \(0.532349\pi\)
\(912\) −9.92949 −0.328798
\(913\) −18.9869 −0.628375
\(914\) −2.57106 + 1.23816i −0.0850432 + 0.0409546i
\(915\) −43.1908 54.1596i −1.42785 1.79046i
\(916\) −1.86979 8.19209i −0.0617796 0.270674i
\(917\) −1.95797 1.39245i −0.0646579 0.0459827i
\(918\) −21.1759 + 92.7775i −0.698908 + 3.06211i
\(919\) −20.2761 + 9.76446i −0.668847 + 0.322100i −0.737311 0.675554i \(-0.763905\pi\)
0.0684634 + 0.997654i \(0.478190\pi\)
\(920\) −0.525211 + 2.30110i −0.0173157 + 0.0758650i
\(921\) 55.1424 + 69.1463i 1.81700 + 2.27845i
\(922\) 2.29712 + 10.0643i 0.0756515 + 0.331451i
\(923\) −3.97875 + 4.98919i −0.130962 + 0.164221i
\(924\) −7.41956 13.4591i −0.244086 0.442773i
\(925\) −3.14507 3.94379i −0.103409 0.129671i
\(926\) −16.5114 + 20.7046i −0.542597 + 0.680395i
\(927\) 66.7549 + 32.1475i 2.19252 + 1.05586i
\(928\) −1.71246 + 2.14735i −0.0562141 + 0.0704903i
\(929\) −4.31967 + 18.9257i −0.141724 + 0.620933i 0.853311 + 0.521403i \(0.174591\pi\)
−0.995035 + 0.0995299i \(0.968266\pi\)
\(930\) −18.7217 −0.613909
\(931\) −18.5307 + 11.5877i −0.607320 + 0.379770i
\(932\) 12.9890 0.425469
\(933\) 21.5018 94.2054i 0.703936 3.08415i
\(934\) −2.52625 + 3.16782i −0.0826615 + 0.103654i
\(935\) 30.3299 + 14.6061i 0.991894 + 0.477671i
\(936\) 9.00548 11.2925i 0.294353 0.369107i
\(937\) 2.21442 + 2.77680i 0.0723420 + 0.0907139i 0.816686 0.577083i \(-0.195809\pi\)
−0.744344 + 0.667797i \(0.767238\pi\)
\(938\) 1.18992 + 21.6069i 0.0388521 + 0.705490i
\(939\) −36.5993 + 45.8941i −1.19437 + 1.49770i
\(940\) −1.18928 5.21058i −0.0387901 0.169950i
\(941\) −10.1141 12.6827i −0.329710 0.413443i 0.589152 0.808022i \(-0.299462\pi\)
−0.918862 + 0.394579i \(0.870890\pi\)
\(942\) −9.01130 + 39.4811i −0.293604 + 1.28636i
\(943\) 5.71873 2.75400i 0.186228 0.0896825i
\(944\) −0.382564 + 1.67612i −0.0124514 + 0.0545532i
\(945\) 65.4723 58.3821i 2.12981 1.89917i
\(946\) 3.16844 + 13.8819i 0.103015 + 0.451338i
\(947\) 26.8422 + 33.6591i 0.872255 + 1.09377i 0.994854 + 0.101317i \(0.0323056\pi\)
−0.122599 + 0.992456i \(0.539123\pi\)
\(948\) −3.36769 + 1.62180i −0.109378 + 0.0526735i
\(949\) 27.2381 0.884187
\(950\) −4.43766 −0.143977
\(951\) −25.8484 + 12.4479i −0.838193 + 0.403652i
\(952\) 1.05813 + 19.2139i 0.0342942 + 0.622727i
\(953\) −1.32580 0.638470i −0.0429468 0.0206821i 0.412287 0.911054i \(-0.364730\pi\)
−0.455234 + 0.890372i \(0.650444\pi\)
\(954\) 22.1840 + 10.6833i 0.718235 + 0.345884i
\(955\) −9.83087 43.0719i −0.318120 1.39377i
\(956\) −2.17854 9.54480i −0.0704589 0.308701i
\(957\) 14.3744 + 6.92234i 0.464658 + 0.223767i
\(958\) −6.20485 2.98810i −0.200470 0.0965411i
\(959\) −24.3284 17.3016i −0.785606 0.558699i
\(960\) 7.26084 3.49664i 0.234343 0.112853i
\(961\) −25.6032 −0.825909
\(962\) −7.20548 −0.232314
\(963\) −6.65512 + 3.20494i −0.214458 + 0.103278i
\(964\) −12.8713 16.1401i −0.414557 0.519838i
\(965\) −4.04487 17.7217i −0.130209 0.570482i
\(966\) 3.78359 + 6.86346i 0.121735 + 0.220828i
\(967\) −1.80221 + 7.89598i −0.0579550 + 0.253918i −0.995604 0.0936673i \(-0.970141\pi\)
0.937649 + 0.347585i \(0.112998\pi\)
\(968\) 6.90487 3.32521i 0.221931 0.106876i
\(969\) 16.0702 70.4083i 0.516250 2.26184i
\(970\) −0.973929 1.22127i −0.0312710 0.0392126i
\(971\) −2.99818 13.1359i −0.0962160 0.421550i 0.903763 0.428033i \(-0.140793\pi\)
−0.999979 + 0.00648337i \(0.997936\pi\)
\(972\) 15.7168 19.7082i 0.504117 0.632142i
\(973\) −16.8280 + 40.5020i −0.539480 + 1.29844i
\(974\) −19.6445 24.6334i −0.629451 0.789306i
\(975\) 5.72190 7.17503i 0.183247 0.229785i
\(976\) −7.74453 3.72957i −0.247896 0.119381i
\(977\) 26.8123 33.6216i 0.857803 1.07565i −0.138553 0.990355i \(-0.544245\pi\)
0.996356 0.0852959i \(-0.0271836\pi\)
\(978\) 0.821911 3.60103i 0.0262818 0.115148i
\(979\) 18.7797 0.600203
\(980\) 9.46986 14.9989i 0.302503 0.479122i
\(981\) 137.933 4.40387
\(982\) 1.24863 5.47060i 0.0398453 0.174574i
\(983\) 12.7022 15.9280i 0.405137 0.508025i −0.536849 0.843678i \(-0.680386\pi\)
0.941986 + 0.335653i \(0.108957\pi\)
\(984\) −19.5260 9.40324i −0.622467 0.299764i
\(985\) 30.0390 37.6677i 0.957122 1.20019i
\(986\) −12.4550 15.6181i −0.396648 0.497381i
\(987\) −14.4623 10.2851i −0.460340 0.327379i
\(988\) −3.95226 + 4.95597i −0.125738 + 0.157671i
\(989\) −1.61574 7.07903i −0.0513776 0.225100i
\(990\) −20.5300 25.7438i −0.652487 0.818193i
\(991\) −0.354559 + 1.55343i −0.0112629 + 0.0493462i −0.980247 0.197777i \(-0.936628\pi\)
0.968984 + 0.247123i \(0.0794851\pi\)
\(992\) −2.09304 + 1.00796i −0.0664542 + 0.0320027i
\(993\) −4.59098 + 20.1144i −0.145690 + 0.638310i
\(994\) −3.19071 + 7.67949i −0.101203 + 0.243578i
\(995\) −2.77669 12.1655i −0.0880271 0.385672i
\(996\) −20.6122 25.8469i −0.653122 0.818990i
\(997\) −48.3315 + 23.2752i −1.53067 + 0.737134i −0.994277 0.106832i \(-0.965929\pi\)
−0.536397 + 0.843966i \(0.680215\pi\)
\(998\) 28.0803 0.888865
\(999\) −46.4360 −1.46917
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 98.2.e.a.15.3 18
3.2 odd 2 882.2.u.j.505.3 18
4.3 odd 2 784.2.u.c.113.1 18
7.2 even 3 686.2.g.i.67.3 36
7.3 odd 6 686.2.g.j.177.3 36
7.4 even 3 686.2.g.i.177.1 36
7.5 odd 6 686.2.g.j.67.1 36
7.6 odd 2 686.2.e.a.99.1 18
49.2 even 21 686.2.g.i.655.1 36
49.6 odd 14 4802.2.a.e.1.1 9
49.11 even 21 686.2.g.i.471.3 36
49.13 odd 14 686.2.e.a.589.1 18
49.36 even 7 inner 98.2.e.a.85.3 yes 18
49.38 odd 42 686.2.g.j.471.1 36
49.43 even 7 4802.2.a.h.1.9 9
49.47 odd 42 686.2.g.j.655.3 36
147.134 odd 14 882.2.u.j.379.3 18
196.183 odd 14 784.2.u.c.673.1 18
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
98.2.e.a.15.3 18 1.1 even 1 trivial
98.2.e.a.85.3 yes 18 49.36 even 7 inner
686.2.e.a.99.1 18 7.6 odd 2
686.2.e.a.589.1 18 49.13 odd 14
686.2.g.i.67.3 36 7.2 even 3
686.2.g.i.177.1 36 7.4 even 3
686.2.g.i.471.3 36 49.11 even 21
686.2.g.i.655.1 36 49.2 even 21
686.2.g.j.67.1 36 7.5 odd 6
686.2.g.j.177.3 36 7.3 odd 6
686.2.g.j.471.1 36 49.38 odd 42
686.2.g.j.655.3 36 49.47 odd 42
784.2.u.c.113.1 18 4.3 odd 2
784.2.u.c.673.1 18 196.183 odd 14
882.2.u.j.379.3 18 147.134 odd 14
882.2.u.j.505.3 18 3.2 odd 2
4802.2.a.e.1.1 9 49.6 odd 14
4802.2.a.h.1.9 9 49.43 even 7