Properties

Label 430.2.k.a.41.2
Level $430$
Weight $2$
Character 430.41
Analytic conductor $3.434$
Analytic rank $0$
Dimension $12$
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] = [430,2,Mod(11,430)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(430, base_ring=CyclotomicField(14))
 
chi = DirichletCharacter(H, H._module([0, 10]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("430.11");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 430 = 2 \cdot 5 \cdot 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 430.k (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: \(3.43356728692\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(2\) over \(\Q(\zeta_{7})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} - \cdots)\)
comment: defining polynomial
 
gp: f.mod \\ as an extension of the character field
 
Defining polynomial: \( x^{12} - 3 x^{11} + 6 x^{10} - 16 x^{9} + 44 x^{8} - 70 x^{7} + 141 x^{6} - 182 x^{5} + 270 x^{4} - 124 x^{3} + 115 x^{2} + 20 x + 1 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 41.2
Root \(-1.30974 - 1.64236i\) of defining polynomial
Character \(\chi\) \(=\) 430.41
Dual form 430.2.k.a.21.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.900969 + 0.433884i) q^{2} +(2.29359 + 1.10454i) q^{3} +(0.623490 - 0.781831i) q^{4} +(-0.222521 + 0.974928i) q^{5} -2.54570 q^{6} +3.65974 q^{7} +(-0.222521 + 0.974928i) q^{8} +(2.17010 + 2.72123i) q^{9} +O(q^{10})\) \(q+(-0.900969 + 0.433884i) q^{2} +(2.29359 + 1.10454i) q^{3} +(0.623490 - 0.781831i) q^{4} +(-0.222521 + 0.974928i) q^{5} -2.54570 q^{6} +3.65974 q^{7} +(-0.222521 + 0.974928i) q^{8} +(2.17010 + 2.72123i) q^{9} +(-0.222521 - 0.974928i) q^{10} +(-0.380839 - 0.477557i) q^{11} +(2.29359 - 1.10454i) q^{12} +(0.400969 - 1.75676i) q^{13} +(-3.29731 + 1.58790i) q^{14} +(-1.58722 + 1.99031i) q^{15} +(-0.222521 - 0.974928i) q^{16} +(-0.257349 - 1.12752i) q^{17} +(-3.13589 - 1.51017i) q^{18} +(-1.64997 + 2.06900i) q^{19} +(0.623490 + 0.781831i) q^{20} +(8.39395 + 4.04231i) q^{21} +(0.550328 + 0.265024i) q^{22} +(0.414542 + 0.519820i) q^{23} +(-1.58722 + 1.99031i) q^{24} +(-0.900969 - 0.433884i) q^{25} +(0.400969 + 1.75676i) q^{26} +(0.272233 + 1.19273i) q^{27} +(2.28181 - 2.86130i) q^{28} +(-5.23468 + 2.52089i) q^{29} +(0.566471 - 2.48187i) q^{30} +(7.07040 - 3.40492i) q^{31} +(0.623490 + 0.781831i) q^{32} +(-0.346011 - 1.51597i) q^{33} +(0.721076 + 0.904201i) q^{34} +(-0.814368 + 3.56798i) q^{35} +3.48058 q^{36} -11.1126 q^{37} +(0.588869 - 2.58000i) q^{38} +(2.86007 - 3.58641i) q^{39} +(-0.900969 - 0.433884i) q^{40} +(-5.63028 + 2.71140i) q^{41} -9.31658 q^{42} +(6.07862 - 2.45975i) q^{43} -0.610818 q^{44} +(-3.13589 + 1.51017i) q^{45} +(-0.599031 - 0.288478i) q^{46} +(-4.65136 + 5.83262i) q^{47} +(0.566471 - 2.48187i) q^{48} +6.39366 q^{49} +1.00000 q^{50} +(0.655133 - 2.87032i) q^{51} +(-1.12349 - 1.40881i) q^{52} +(-0.182762 - 0.800734i) q^{53} +(-0.762781 - 0.956497i) q^{54} +(0.550328 - 0.265024i) q^{55} +(-0.814368 + 3.56798i) q^{56} +(-6.06966 + 2.92300i) q^{57} +(3.62251 - 4.54248i) q^{58} +(0.0174682 + 0.0765333i) q^{59} +(0.566471 + 2.48187i) q^{60} +(10.2849 + 4.95296i) q^{61} +(-4.89287 + 6.13546i) q^{62} +(7.94201 + 9.95896i) q^{63} +(-0.900969 - 0.433884i) q^{64} +(1.62349 + 0.781831i) q^{65} +(0.969501 + 1.21572i) q^{66} +(-1.85328 + 2.32395i) q^{67} +(-1.04198 - 0.501793i) q^{68} +(0.376632 + 1.65013i) q^{69} +(-0.814368 - 3.56798i) q^{70} +(7.34309 - 9.20795i) q^{71} +(-3.13589 + 1.51017i) q^{72} +(0.320376 - 1.40366i) q^{73} +(10.0121 - 4.82156i) q^{74} +(-1.58722 - 1.99031i) q^{75} +(0.588869 + 2.58000i) q^{76} +(-1.39377 - 1.74773i) q^{77} +(-1.02075 + 4.47218i) q^{78} -12.2173 q^{79} +1.00000 q^{80} +(1.63048 - 7.14360i) q^{81} +(3.89628 - 4.88578i) q^{82} +(-8.85780 - 4.26569i) q^{83} +(8.39395 - 4.04231i) q^{84} +1.15652 q^{85} +(-4.40940 + 4.85357i) q^{86} -14.7906 q^{87} +(0.550328 - 0.265024i) q^{88} +(10.5737 + 5.09201i) q^{89} +(2.17010 - 2.72123i) q^{90} +(1.46744 - 6.42927i) q^{91} +0.664874 q^{92} +19.9775 q^{93} +(1.66005 - 7.27316i) q^{94} +(-1.64997 - 2.06900i) q^{95} +(0.566471 + 2.48187i) q^{96} +(-6.72461 - 8.43239i) q^{97} +(-5.76049 + 2.77411i) q^{98} +(0.473079 - 2.07270i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12 q - 2 q^{2} - q^{3} - 2 q^{4} - 2 q^{5} - 8 q^{6} + 4 q^{7} - 2 q^{8} + 7 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 12 q - 2 q^{2} - q^{3} - 2 q^{4} - 2 q^{5} - 8 q^{6} + 4 q^{7} - 2 q^{8} + 7 q^{9} - 2 q^{10} + 3 q^{11} - q^{12} - 4 q^{13} - 10 q^{14} - q^{15} - 2 q^{16} - 5 q^{17} - 2 q^{19} - 2 q^{20} + 22 q^{21} - 4 q^{22} - 16 q^{23} - q^{24} - 2 q^{25} - 4 q^{26} + 8 q^{27} + 11 q^{28} + 2 q^{29} + 6 q^{30} + 27 q^{31} - 2 q^{32} + 6 q^{33} + 2 q^{34} - 3 q^{35} - 18 q^{37} - 2 q^{38} + 5 q^{39} - 2 q^{40} + 14 q^{41} - 20 q^{42} + 14 q^{43} - 4 q^{44} - 16 q^{46} + 2 q^{47} + 6 q^{48} - 12 q^{49} + 12 q^{50} - 5 q^{51} - 4 q^{52} + 2 q^{53} - 6 q^{54} - 4 q^{55} - 3 q^{56} - 19 q^{57} + 2 q^{58} + 4 q^{59} + 6 q^{60} + 16 q^{61} - 22 q^{62} + 13 q^{63} - 2 q^{64} + 10 q^{65} - 8 q^{66} + 9 q^{67} + 9 q^{68} - 15 q^{69} - 3 q^{70} + 27 q^{71} + 28 q^{73} + 24 q^{74} - q^{75} - 2 q^{76} + 26 q^{77} + 5 q^{78} + 10 q^{79} + 12 q^{80} - 12 q^{81} + 7 q^{82} - 31 q^{83} + 22 q^{84} - 12 q^{85} - 28 q^{86} - 6 q^{87} - 4 q^{88} - 38 q^{89} + 7 q^{90} + 8 q^{91} + 12 q^{92} - 2 q^{93} - 12 q^{94} - 2 q^{95} + 6 q^{96} - 15 q^{97} - 19 q^{98} - 6 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/430\mathbb{Z}\right)^\times\).

\(n\) \(87\) \(261\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.900969 + 0.433884i −0.637081 + 0.306802i
\(3\) 2.29359 + 1.10454i 1.32421 + 0.637705i 0.956363 0.292182i \(-0.0943815\pi\)
0.367845 + 0.929887i \(0.380096\pi\)
\(4\) 0.623490 0.781831i 0.311745 0.390916i
\(5\) −0.222521 + 0.974928i −0.0995144 + 0.436001i
\(6\) −2.54570 −1.03928
\(7\) 3.65974 1.38325 0.691625 0.722257i \(-0.256895\pi\)
0.691625 + 0.722257i \(0.256895\pi\)
\(8\) −0.222521 + 0.974928i −0.0786730 + 0.344689i
\(9\) 2.17010 + 2.72123i 0.723368 + 0.907075i
\(10\) −0.222521 0.974928i −0.0703673 0.308299i
\(11\) −0.380839 0.477557i −0.114827 0.143989i 0.721096 0.692835i \(-0.243639\pi\)
−0.835923 + 0.548846i \(0.815067\pi\)
\(12\) 2.29359 1.10454i 0.662104 0.318852i
\(13\) 0.400969 1.75676i 0.111209 0.487237i −0.888395 0.459080i \(-0.848179\pi\)
0.999604 0.0281571i \(-0.00896385\pi\)
\(14\) −3.29731 + 1.58790i −0.881243 + 0.424384i
\(15\) −1.58722 + 1.99031i −0.409818 + 0.513895i
\(16\) −0.222521 0.974928i −0.0556302 0.243732i
\(17\) −0.257349 1.12752i −0.0624163 0.273464i 0.934084 0.357053i \(-0.116219\pi\)
−0.996500 + 0.0835898i \(0.973361\pi\)
\(18\) −3.13589 1.51017i −0.739137 0.355950i
\(19\) −1.64997 + 2.06900i −0.378530 + 0.474662i −0.934204 0.356738i \(-0.883889\pi\)
0.555674 + 0.831400i \(0.312460\pi\)
\(20\) 0.623490 + 0.781831i 0.139417 + 0.174823i
\(21\) 8.39395 + 4.04231i 1.83171 + 0.882105i
\(22\) 0.550328 + 0.265024i 0.117330 + 0.0565033i
\(23\) 0.414542 + 0.519820i 0.0864381 + 0.108390i 0.823170 0.567795i \(-0.192203\pi\)
−0.736732 + 0.676185i \(0.763632\pi\)
\(24\) −1.58722 + 1.99031i −0.323989 + 0.406270i
\(25\) −0.900969 0.433884i −0.180194 0.0867767i
\(26\) 0.400969 + 1.75676i 0.0786365 + 0.344529i
\(27\) 0.272233 + 1.19273i 0.0523913 + 0.229541i
\(28\) 2.28181 2.86130i 0.431221 0.540734i
\(29\) −5.23468 + 2.52089i −0.972056 + 0.468117i −0.851366 0.524573i \(-0.824225\pi\)
−0.120690 + 0.992690i \(0.538511\pi\)
\(30\) 0.566471 2.48187i 0.103423 0.453126i
\(31\) 7.07040 3.40492i 1.26988 0.611542i 0.327111 0.944986i \(-0.393925\pi\)
0.942770 + 0.333443i \(0.108211\pi\)
\(32\) 0.623490 + 0.781831i 0.110218 + 0.138210i
\(33\) −0.346011 1.51597i −0.0602327 0.263897i
\(34\) 0.721076 + 0.904201i 0.123663 + 0.155069i
\(35\) −0.814368 + 3.56798i −0.137653 + 0.603098i
\(36\) 3.48058 0.580096
\(37\) −11.1126 −1.82689 −0.913447 0.406958i \(-0.866590\pi\)
−0.913447 + 0.406958i \(0.866590\pi\)
\(38\) 0.588869 2.58000i 0.0955272 0.418532i
\(39\) 2.86007 3.58641i 0.457977 0.574285i
\(40\) −0.900969 0.433884i −0.142456 0.0686030i
\(41\) −5.63028 + 2.71140i −0.879302 + 0.423450i −0.818370 0.574692i \(-0.805122\pi\)
−0.0609328 + 0.998142i \(0.519408\pi\)
\(42\) −9.31658 −1.43758
\(43\) 6.07862 2.45975i 0.926981 0.375108i
\(44\) −0.610818 −0.0920843
\(45\) −3.13589 + 1.51017i −0.467471 + 0.225122i
\(46\) −0.599031 0.288478i −0.0883223 0.0425338i
\(47\) −4.65136 + 5.83262i −0.678471 + 0.850775i −0.995212 0.0977366i \(-0.968840\pi\)
0.316742 + 0.948512i \(0.397411\pi\)
\(48\) 0.566471 2.48187i 0.0817631 0.358227i
\(49\) 6.39366 0.913380
\(50\) 1.00000 0.141421
\(51\) 0.655133 2.87032i 0.0917369 0.401926i
\(52\) −1.12349 1.40881i −0.155800 0.195367i
\(53\) −0.182762 0.800734i −0.0251043 0.109989i 0.960823 0.277161i \(-0.0893936\pi\)
−0.985928 + 0.167172i \(0.946536\pi\)
\(54\) −0.762781 0.956497i −0.103801 0.130163i
\(55\) 0.550328 0.265024i 0.0742062 0.0357358i
\(56\) −0.814368 + 3.56798i −0.108824 + 0.476791i
\(57\) −6.06966 + 2.92300i −0.803946 + 0.387160i
\(58\) 3.62251 4.54248i 0.475659 0.596457i
\(59\) 0.0174682 + 0.0765333i 0.00227417 + 0.00996379i 0.976052 0.217536i \(-0.0698020\pi\)
−0.973778 + 0.227500i \(0.926945\pi\)
\(60\) 0.566471 + 2.48187i 0.0731311 + 0.320408i
\(61\) 10.2849 + 4.95296i 1.31685 + 0.634161i 0.954592 0.297917i \(-0.0962918\pi\)
0.362258 + 0.932078i \(0.382006\pi\)
\(62\) −4.89287 + 6.13546i −0.621395 + 0.779204i
\(63\) 7.94201 + 9.95896i 1.00060 + 1.25471i
\(64\) −0.900969 0.433884i −0.112621 0.0542355i
\(65\) 1.62349 + 0.781831i 0.201369 + 0.0969743i
\(66\) 0.969501 + 1.21572i 0.119337 + 0.149644i
\(67\) −1.85328 + 2.32395i −0.226415 + 0.283915i −0.882043 0.471169i \(-0.843832\pi\)
0.655628 + 0.755084i \(0.272404\pi\)
\(68\) −1.04198 0.501793i −0.126359 0.0608514i
\(69\) 0.376632 + 1.65013i 0.0453412 + 0.198653i
\(70\) −0.814368 3.56798i −0.0973356 0.426455i
\(71\) 7.34309 9.20795i 0.871465 1.09278i −0.123479 0.992347i \(-0.539405\pi\)
0.994944 0.100435i \(-0.0320235\pi\)
\(72\) −3.13589 + 1.51017i −0.369568 + 0.177975i
\(73\) 0.320376 1.40366i 0.0374972 0.164286i −0.952713 0.303873i \(-0.901720\pi\)
0.990210 + 0.139587i \(0.0445774\pi\)
\(74\) 10.0121 4.82156i 1.16388 0.560495i
\(75\) −1.58722 1.99031i −0.183276 0.229821i
\(76\) 0.588869 + 2.58000i 0.0675479 + 0.295947i
\(77\) −1.39377 1.74773i −0.158835 0.199172i
\(78\) −1.02075 + 4.47218i −0.115577 + 0.506375i
\(79\) −12.2173 −1.37456 −0.687279 0.726393i \(-0.741195\pi\)
−0.687279 + 0.726393i \(0.741195\pi\)
\(80\) 1.00000 0.111803
\(81\) 1.63048 7.14360i 0.181164 0.793733i
\(82\) 3.89628 4.88578i 0.430272 0.539544i
\(83\) −8.85780 4.26569i −0.972269 0.468220i −0.120830 0.992673i \(-0.538556\pi\)
−0.851439 + 0.524453i \(0.824270\pi\)
\(84\) 8.39395 4.04231i 0.915855 0.441052i
\(85\) 1.15652 0.125442
\(86\) −4.40940 + 4.85357i −0.475478 + 0.523374i
\(87\) −14.7906 −1.58572
\(88\) 0.550328 0.265024i 0.0586652 0.0282517i
\(89\) 10.5737 + 5.09201i 1.12081 + 0.539752i 0.900141 0.435598i \(-0.143463\pi\)
0.220664 + 0.975350i \(0.429177\pi\)
\(90\) 2.17010 2.72123i 0.228749 0.286842i
\(91\) 1.46744 6.42927i 0.153830 0.673971i
\(92\) 0.664874 0.0693179
\(93\) 19.9775 2.07157
\(94\) 1.66005 7.27316i 0.171221 0.750169i
\(95\) −1.64997 2.06900i −0.169284 0.212275i
\(96\) 0.566471 + 2.48187i 0.0578152 + 0.253305i
\(97\) −6.72461 8.43239i −0.682781 0.856180i 0.312826 0.949810i \(-0.398724\pi\)
−0.995607 + 0.0936305i \(0.970153\pi\)
\(98\) −5.76049 + 2.77411i −0.581897 + 0.280227i
\(99\) 0.473079 2.07270i 0.0475463 0.208314i
\(100\) −0.900969 + 0.433884i −0.0900969 + 0.0433884i
\(101\) 1.27009 1.59265i 0.126379 0.158474i −0.714616 0.699517i \(-0.753399\pi\)
0.840995 + 0.541042i \(0.181970\pi\)
\(102\) 0.655133 + 2.87032i 0.0648678 + 0.284204i
\(103\) 0.878147 + 3.84741i 0.0865264 + 0.379097i 0.999587 0.0287262i \(-0.00914509\pi\)
−0.913061 + 0.407823i \(0.866288\pi\)
\(104\) 1.62349 + 0.781831i 0.159196 + 0.0766649i
\(105\) −5.80879 + 7.28400i −0.566880 + 0.710845i
\(106\) 0.512088 + 0.642139i 0.0497384 + 0.0623700i
\(107\) −8.39646 4.04352i −0.811717 0.390902i −0.0184904 0.999829i \(-0.505886\pi\)
−0.793226 + 0.608927i \(0.791600\pi\)
\(108\) 1.10225 + 0.530816i 0.106064 + 0.0510778i
\(109\) −6.31359 7.91699i −0.604732 0.758310i 0.381375 0.924420i \(-0.375451\pi\)
−0.986107 + 0.166110i \(0.946879\pi\)
\(110\) −0.380839 + 0.477557i −0.0363116 + 0.0455332i
\(111\) −25.4877 12.2742i −2.41919 1.16502i
\(112\) −0.814368 3.56798i −0.0769505 0.337142i
\(113\) −2.36800 10.3749i −0.222763 0.975987i −0.955388 0.295355i \(-0.904562\pi\)
0.732625 0.680633i \(-0.238295\pi\)
\(114\) 4.20034 5.26706i 0.393398 0.493305i
\(115\) −0.599031 + 0.288478i −0.0558599 + 0.0269007i
\(116\) −1.29286 + 5.66439i −0.120039 + 0.525925i
\(117\) 5.65068 2.72123i 0.522406 0.251577i
\(118\) −0.0489449 0.0613750i −0.00450574 0.00565002i
\(119\) −0.941829 4.12642i −0.0863373 0.378269i
\(120\) −1.58722 1.99031i −0.144892 0.181689i
\(121\) 2.36471 10.3605i 0.214973 0.941860i
\(122\) −11.4154 −1.03350
\(123\) −15.9084 −1.43441
\(124\) 1.74624 7.65080i 0.156817 0.687062i
\(125\) 0.623490 0.781831i 0.0557666 0.0699291i
\(126\) −11.4765 5.52681i −1.02241 0.492367i
\(127\) 7.69954 3.70790i 0.683224 0.329023i −0.0598743 0.998206i \(-0.519070\pi\)
0.743098 + 0.669183i \(0.233356\pi\)
\(128\) 1.00000 0.0883883
\(129\) 16.6588 + 1.07240i 1.46672 + 0.0944194i
\(130\) −1.80194 −0.158040
\(131\) 5.59840 2.69605i 0.489134 0.235555i −0.173025 0.984917i \(-0.555354\pi\)
0.662160 + 0.749363i \(0.269640\pi\)
\(132\) −1.40097 0.674671i −0.121939 0.0587226i
\(133\) −6.03847 + 7.57200i −0.523602 + 0.656576i
\(134\) 0.661430 2.89791i 0.0571388 0.250342i
\(135\) −1.22341 −0.105294
\(136\) 1.15652 0.0991704
\(137\) 4.58474 20.0871i 0.391701 1.71615i −0.266955 0.963709i \(-0.586018\pi\)
0.658656 0.752444i \(-0.271125\pi\)
\(138\) −1.05530 1.32330i −0.0898331 0.112647i
\(139\) −3.99671 17.5108i −0.338997 1.48524i −0.801161 0.598448i \(-0.795784\pi\)
0.462164 0.886794i \(-0.347073\pi\)
\(140\) 2.28181 + 2.86130i 0.192848 + 0.241824i
\(141\) −17.1107 + 8.24007i −1.44098 + 0.693939i
\(142\) −2.62072 + 11.4821i −0.219926 + 0.963558i
\(143\) −0.991657 + 0.477557i −0.0829265 + 0.0399353i
\(144\) 2.17010 2.72123i 0.180842 0.226769i
\(145\) −1.29286 5.66439i −0.107366 0.470402i
\(146\) 0.320376 + 1.40366i 0.0265145 + 0.116168i
\(147\) 14.6645 + 7.06204i 1.20951 + 0.582467i
\(148\) −6.92857 + 8.68815i −0.569525 + 0.714162i
\(149\) 10.9034 + 13.6724i 0.893238 + 1.12008i 0.992158 + 0.124990i \(0.0398897\pi\)
−0.0989201 + 0.995095i \(0.531539\pi\)
\(150\) 2.29359 + 1.10454i 0.187271 + 0.0901851i
\(151\) 8.13284 + 3.91657i 0.661841 + 0.318726i 0.734478 0.678633i \(-0.237427\pi\)
−0.0726369 + 0.997358i \(0.523141\pi\)
\(152\) −1.64997 2.06900i −0.133831 0.167818i
\(153\) 2.50976 3.14714i 0.202902 0.254431i
\(154\) 2.01405 + 0.969918i 0.162297 + 0.0781582i
\(155\) 1.74624 + 7.65080i 0.140262 + 0.614527i
\(156\) −1.02075 4.47218i −0.0817251 0.358061i
\(157\) −2.85572 + 3.58096i −0.227911 + 0.285791i −0.882618 0.470092i \(-0.844221\pi\)
0.654706 + 0.755883i \(0.272792\pi\)
\(158\) 11.0074 5.30091i 0.875705 0.421717i
\(159\) 0.465257 2.03843i 0.0368973 0.161658i
\(160\) −0.900969 + 0.433884i −0.0712278 + 0.0343015i
\(161\) 1.51712 + 1.90240i 0.119565 + 0.149930i
\(162\) 1.63048 + 7.14360i 0.128103 + 0.561254i
\(163\) −2.95495 3.70540i −0.231450 0.290229i 0.652521 0.757770i \(-0.273711\pi\)
−0.883971 + 0.467541i \(0.845140\pi\)
\(164\) −1.39057 + 6.09246i −0.108585 + 0.475741i
\(165\) 1.55496 0.121053
\(166\) 9.83141 0.763066
\(167\) −5.31979 + 23.3075i −0.411658 + 1.80359i 0.164643 + 0.986353i \(0.447353\pi\)
−0.576301 + 0.817237i \(0.695504\pi\)
\(168\) −5.80879 + 7.28400i −0.448158 + 0.561972i
\(169\) 8.78717 + 4.23168i 0.675936 + 0.325514i
\(170\) −1.04198 + 0.501793i −0.0799166 + 0.0384858i
\(171\) −9.21084 −0.704371
\(172\) 1.86685 6.28609i 0.142346 0.479310i
\(173\) −16.0984 −1.22394 −0.611969 0.790882i \(-0.709622\pi\)
−0.611969 + 0.790882i \(0.709622\pi\)
\(174\) 13.3259 6.41742i 1.01023 0.486503i
\(175\) −3.29731 1.58790i −0.249253 0.120034i
\(176\) −0.380839 + 0.477557i −0.0287068 + 0.0359972i
\(177\) −0.0444689 + 0.194831i −0.00334248 + 0.0146444i
\(178\) −11.7359 −0.879641
\(179\) −4.98775 −0.372802 −0.186401 0.982474i \(-0.559682\pi\)
−0.186401 + 0.982474i \(0.559682\pi\)
\(180\) −0.774501 + 3.39331i −0.0577279 + 0.252923i
\(181\) 10.9026 + 13.6714i 0.810381 + 1.01619i 0.999415 + 0.0342148i \(0.0108930\pi\)
−0.189034 + 0.981971i \(0.560536\pi\)
\(182\) 1.46744 + 6.42927i 0.108774 + 0.476570i
\(183\) 18.1187 + 22.7202i 1.33937 + 1.67952i
\(184\) −0.599031 + 0.288478i −0.0441612 + 0.0212669i
\(185\) 2.47278 10.8339i 0.181802 0.796528i
\(186\) −17.9991 + 8.66791i −1.31976 + 0.635562i
\(187\) −0.440446 + 0.552302i −0.0322086 + 0.0403883i
\(188\) 1.66005 + 7.27316i 0.121072 + 0.530450i
\(189\) 0.996302 + 4.36509i 0.0724703 + 0.317513i
\(190\) 2.38428 + 1.14821i 0.172974 + 0.0832999i
\(191\) −13.6850 + 17.1604i −0.990210 + 1.24168i −0.0199043 + 0.999802i \(0.506336\pi\)
−0.970306 + 0.241882i \(0.922235\pi\)
\(192\) −1.58722 1.99031i −0.114547 0.143638i
\(193\) 7.41393 + 3.57036i 0.533666 + 0.257000i 0.681252 0.732049i \(-0.261436\pi\)
−0.147586 + 0.989049i \(0.547150\pi\)
\(194\) 9.71734 + 4.67963i 0.697665 + 0.335978i
\(195\) 2.86007 + 3.58641i 0.204814 + 0.256828i
\(196\) 3.98638 4.99877i 0.284742 0.357055i
\(197\) 16.1547 + 7.77970i 1.15098 + 0.554280i 0.909326 0.416083i \(-0.136598\pi\)
0.241649 + 0.970364i \(0.422312\pi\)
\(198\) 0.473079 + 2.07270i 0.0336203 + 0.147300i
\(199\) 2.46948 + 10.8195i 0.175057 + 0.766975i 0.983866 + 0.178904i \(0.0572553\pi\)
−0.808809 + 0.588071i \(0.799888\pi\)
\(200\) 0.623490 0.781831i 0.0440874 0.0552838i
\(201\) −6.81757 + 3.28317i −0.480874 + 0.231577i
\(202\) −0.453291 + 1.98600i −0.0318934 + 0.139734i
\(203\) −19.1575 + 9.22579i −1.34460 + 0.647523i
\(204\) −1.83564 2.30182i −0.128521 0.161160i
\(205\) −1.39057 6.09246i −0.0971213 0.425516i
\(206\) −2.46051 3.08539i −0.171432 0.214969i
\(207\) −0.514946 + 2.25613i −0.0357912 + 0.156812i
\(208\) −1.80194 −0.124942
\(209\) 1.61644 0.111812
\(210\) 2.07313 9.08299i 0.143060 0.626786i
\(211\) −8.75809 + 10.9823i −0.602932 + 0.756053i −0.985832 0.167737i \(-0.946354\pi\)
0.382900 + 0.923790i \(0.374925\pi\)
\(212\) −0.739989 0.356360i −0.0508227 0.0244749i
\(213\) 27.0126 13.0086i 1.85087 0.891333i
\(214\) 9.31937 0.637059
\(215\) 1.04546 + 6.47356i 0.0712995 + 0.441493i
\(216\) −1.22341 −0.0832422
\(217\) 25.8758 12.4611i 1.75656 0.845916i
\(218\) 9.12340 + 4.39360i 0.617915 + 0.297572i
\(219\) 2.28521 2.86556i 0.154420 0.193637i
\(220\) 0.135920 0.595504i 0.00916371 0.0401488i
\(221\) −2.08397 −0.140183
\(222\) 28.2892 1.89865
\(223\) 1.84317 8.07547i 0.123428 0.540774i −0.874969 0.484179i \(-0.839118\pi\)
0.998397 0.0565950i \(-0.0180244\pi\)
\(224\) 2.28181 + 2.86130i 0.152460 + 0.191178i
\(225\) −0.774501 3.39331i −0.0516334 0.226221i
\(226\) 6.63499 + 8.32001i 0.441353 + 0.553439i
\(227\) −2.82240 + 1.35920i −0.187330 + 0.0902132i −0.525197 0.850980i \(-0.676009\pi\)
0.337868 + 0.941194i \(0.390294\pi\)
\(228\) −1.49908 + 6.56791i −0.0992792 + 0.434971i
\(229\) −2.54569 + 1.22594i −0.168224 + 0.0810124i −0.516101 0.856528i \(-0.672617\pi\)
0.347877 + 0.937540i \(0.386903\pi\)
\(230\) 0.414542 0.519820i 0.0273341 0.0342759i
\(231\) −1.26631 5.54806i −0.0833169 0.365035i
\(232\) −1.29286 5.66439i −0.0848804 0.371885i
\(233\) 0.0512451 + 0.0246783i 0.00335718 + 0.00161673i 0.435562 0.900159i \(-0.356550\pi\)
−0.432204 + 0.901776i \(0.642264\pi\)
\(234\) −3.91039 + 4.90348i −0.255630 + 0.320550i
\(235\) −4.65136 5.83262i −0.303421 0.380478i
\(236\) 0.0707274 + 0.0340605i 0.00460396 + 0.00221715i
\(237\) −28.0216 13.4945i −1.82020 0.876562i
\(238\) 2.63895 + 3.30913i 0.171058 + 0.214499i
\(239\) −12.7975 + 16.0476i −0.827804 + 1.03803i 0.170805 + 0.985305i \(0.445363\pi\)
−0.998609 + 0.0527280i \(0.983208\pi\)
\(240\) 2.29359 + 1.10454i 0.148051 + 0.0712976i
\(241\) 2.11512 + 9.26693i 0.136247 + 0.596936i 0.996240 + 0.0866311i \(0.0276102\pi\)
−0.859994 + 0.510304i \(0.829533\pi\)
\(242\) 2.36471 + 10.3605i 0.152009 + 0.665996i
\(243\) 13.9184 17.4531i 0.892864 1.11962i
\(244\) 10.2849 4.95296i 0.658425 0.317081i
\(245\) −1.42272 + 6.23336i −0.0908945 + 0.398235i
\(246\) 14.3330 6.90241i 0.913839 0.440082i
\(247\) 2.97315 + 3.72821i 0.189177 + 0.237221i
\(248\) 1.74624 + 7.65080i 0.110887 + 0.485826i
\(249\) −15.6046 19.5675i −0.988900 1.24004i
\(250\) −0.222521 + 0.974928i −0.0140735 + 0.0616599i
\(251\) 18.7853 1.18572 0.592859 0.805306i \(-0.297999\pi\)
0.592859 + 0.805306i \(0.297999\pi\)
\(252\) 12.7380 0.802418
\(253\) 0.0903696 0.395935i 0.00568149 0.0248922i
\(254\) −5.32825 + 6.68141i −0.334324 + 0.419229i
\(255\) 2.65258 + 1.27741i 0.166111 + 0.0799948i
\(256\) −0.900969 + 0.433884i −0.0563106 + 0.0271177i
\(257\) 13.6777 0.853191 0.426595 0.904443i \(-0.359713\pi\)
0.426595 + 0.904443i \(0.359713\pi\)
\(258\) −15.4743 + 6.26177i −0.963390 + 0.389841i
\(259\) −40.6690 −2.52705
\(260\) 1.62349 0.781831i 0.100685 0.0484871i
\(261\) −18.2197 8.77415i −1.12777 0.543106i
\(262\) −3.87421 + 4.85811i −0.239350 + 0.300135i
\(263\) 4.73709 20.7545i 0.292101 1.27978i −0.589494 0.807773i \(-0.700673\pi\)
0.881595 0.472007i \(-0.156470\pi\)
\(264\) 1.55496 0.0957011
\(265\) 0.821326 0.0504537
\(266\) 2.15511 9.44213i 0.132138 0.578934i
\(267\) 18.6274 + 23.3580i 1.13998 + 1.42949i
\(268\) 0.661430 + 2.89791i 0.0404032 + 0.177018i
\(269\) −4.15211 5.20658i −0.253159 0.317451i 0.638971 0.769231i \(-0.279361\pi\)
−0.892129 + 0.451780i \(0.850789\pi\)
\(270\) 1.10225 0.530816i 0.0670808 0.0323044i
\(271\) −4.05920 + 17.7845i −0.246579 + 1.08033i 0.688317 + 0.725410i \(0.258350\pi\)
−0.934896 + 0.354922i \(0.884507\pi\)
\(272\) −1.04198 + 0.501793i −0.0631796 + 0.0304257i
\(273\) 10.4671 13.1253i 0.633497 0.794380i
\(274\) 4.58474 + 20.0871i 0.276974 + 1.21350i
\(275\) 0.135920 + 0.595504i 0.00819627 + 0.0359102i
\(276\) 1.52495 + 0.734378i 0.0917913 + 0.0442044i
\(277\) −14.8105 + 18.5718i −0.889876 + 1.11587i 0.102757 + 0.994707i \(0.467234\pi\)
−0.992633 + 0.121163i \(0.961338\pi\)
\(278\) 11.1985 + 14.0425i 0.671644 + 0.842215i
\(279\) 24.6091 + 11.8511i 1.47331 + 0.709507i
\(280\) −3.29731 1.58790i −0.197052 0.0948952i
\(281\) 17.9818 + 22.5484i 1.07270 + 1.34513i 0.934997 + 0.354654i \(0.115401\pi\)
0.137706 + 0.990473i \(0.456027\pi\)
\(282\) 11.8410 14.8481i 0.705119 0.884191i
\(283\) −23.5504 11.3413i −1.39992 0.674167i −0.426777 0.904357i \(-0.640351\pi\)
−0.973146 + 0.230189i \(0.926065\pi\)
\(284\) −2.62072 11.4821i −0.155511 0.681339i
\(285\) −1.49908 6.56791i −0.0887980 0.389050i
\(286\) 0.686248 0.860528i 0.0405787 0.0508841i
\(287\) −20.6053 + 9.92301i −1.21630 + 0.585737i
\(288\) −0.774501 + 3.39331i −0.0456379 + 0.199953i
\(289\) 14.1114 6.79569i 0.830082 0.399747i
\(290\) 3.62251 + 4.54248i 0.212721 + 0.266744i
\(291\) −6.10964 26.7681i −0.358153 1.56917i
\(292\) −0.897675 1.12565i −0.0525324 0.0658736i
\(293\) −1.04781 + 4.59077i −0.0612139 + 0.268196i −0.996268 0.0863082i \(-0.972493\pi\)
0.935055 + 0.354504i \(0.115350\pi\)
\(294\) −16.2763 −0.949255
\(295\) −0.0785015 −0.00457054
\(296\) 2.47278 10.8339i 0.143727 0.629710i
\(297\) 0.465920 0.584246i 0.0270354 0.0339014i
\(298\) −15.7558 7.58760i −0.912710 0.439538i
\(299\) 1.07942 0.519820i 0.0624243 0.0300620i
\(300\) −2.54570 −0.146976
\(301\) 22.2461 9.00203i 1.28225 0.518868i
\(302\) −9.02677 −0.519432
\(303\) 4.67222 2.25002i 0.268412 0.129260i
\(304\) 2.38428 + 1.14821i 0.136748 + 0.0658544i
\(305\) −7.11739 + 8.92492i −0.407540 + 0.511039i
\(306\) −0.895723 + 3.92442i −0.0512051 + 0.224344i
\(307\) −8.55330 −0.488163 −0.244081 0.969755i \(-0.578486\pi\)
−0.244081 + 0.969755i \(0.578486\pi\)
\(308\) −2.23543 −0.127376
\(309\) −2.23550 + 9.79436i −0.127173 + 0.557181i
\(310\) −4.89287 6.13546i −0.277896 0.348471i
\(311\) −3.31160 14.5091i −0.187783 0.822733i −0.977782 0.209624i \(-0.932776\pi\)
0.789999 0.613109i \(-0.210081\pi\)
\(312\) 2.86007 + 3.58641i 0.161919 + 0.203040i
\(313\) −1.89968 + 0.914835i −0.107376 + 0.0517096i −0.486801 0.873513i \(-0.661836\pi\)
0.379425 + 0.925223i \(0.376122\pi\)
\(314\) 1.01919 4.46538i 0.0575164 0.251996i
\(315\) −11.4765 + 5.52681i −0.646630 + 0.311400i
\(316\) −7.61739 + 9.55190i −0.428512 + 0.537336i
\(317\) −6.12079 26.8169i −0.343778 1.50619i −0.791028 0.611781i \(-0.790454\pi\)
0.447250 0.894409i \(-0.352404\pi\)
\(318\) 0.465257 + 2.03843i 0.0260903 + 0.114309i
\(319\) 3.19744 + 1.53980i 0.179022 + 0.0862125i
\(320\) 0.623490 0.781831i 0.0348541 0.0437057i
\(321\) −14.7919 18.5484i −0.825601 1.03527i
\(322\) −2.19230 1.05575i −0.122172 0.0588349i
\(323\) 2.75746 + 1.32792i 0.153429 + 0.0738876i
\(324\) −4.56850 5.72872i −0.253806 0.318262i
\(325\) −1.12349 + 1.40881i −0.0623200 + 0.0781468i
\(326\) 4.27003 + 2.05634i 0.236495 + 0.113890i
\(327\) −5.73621 25.1320i −0.317213 1.38980i
\(328\) −1.39057 6.09246i −0.0767811 0.336400i
\(329\) −17.0227 + 21.3458i −0.938494 + 1.17683i
\(330\) −1.40097 + 0.674671i −0.0771208 + 0.0371394i
\(331\) −0.494745 + 2.16762i −0.0271936 + 0.119143i −0.986703 0.162534i \(-0.948033\pi\)
0.959509 + 0.281677i \(0.0908905\pi\)
\(332\) −8.85780 + 4.26569i −0.486135 + 0.234110i
\(333\) −24.1154 30.2398i −1.32152 1.65713i
\(334\) −5.31979 23.3075i −0.291086 1.27533i
\(335\) −1.85328 2.32395i −0.101256 0.126971i
\(336\) 2.07313 9.08299i 0.113099 0.495518i
\(337\) −1.54146 −0.0839685 −0.0419843 0.999118i \(-0.513368\pi\)
−0.0419843 + 0.999118i \(0.513368\pi\)
\(338\) −9.75302 −0.530494
\(339\) 6.02821 26.4113i 0.327408 1.43447i
\(340\) 0.721076 0.904201i 0.0391058 0.0490372i
\(341\) −4.31873 2.07979i −0.233872 0.112627i
\(342\) 8.29868 3.99643i 0.448741 0.216102i
\(343\) −2.21903 −0.119817
\(344\) 1.04546 + 6.47356i 0.0563672 + 0.349031i
\(345\) −1.69257 −0.0911249
\(346\) 14.5042 6.98483i 0.779748 0.375507i
\(347\) 3.72714 + 1.79489i 0.200083 + 0.0963550i 0.531242 0.847220i \(-0.321725\pi\)
−0.331159 + 0.943575i \(0.607440\pi\)
\(348\) −9.22182 + 11.5638i −0.494341 + 0.619884i
\(349\) −6.42676 + 28.1575i −0.344017 + 1.50724i 0.446494 + 0.894787i \(0.352673\pi\)
−0.790510 + 0.612449i \(0.790185\pi\)
\(350\) 3.65974 0.195621
\(351\) 2.20450 0.117668
\(352\) 0.135920 0.595504i 0.00724455 0.0317404i
\(353\) 20.4365 + 25.6265i 1.08772 + 1.36396i 0.926174 + 0.377097i \(0.123078\pi\)
0.161549 + 0.986865i \(0.448351\pi\)
\(354\) −0.0444689 0.194831i −0.00236349 0.0103551i
\(355\) 7.34309 + 9.20795i 0.389731 + 0.488707i
\(356\) 10.5737 5.09201i 0.560403 0.269876i
\(357\) 2.39761 10.5046i 0.126895 0.555964i
\(358\) 4.49381 2.16410i 0.237505 0.114376i
\(359\) −15.9097 + 19.9502i −0.839684 + 1.05293i 0.158167 + 0.987412i \(0.449442\pi\)
−0.997851 + 0.0655184i \(0.979130\pi\)
\(360\) −0.774501 3.39331i −0.0408198 0.178843i
\(361\) 2.66954 + 11.6960i 0.140502 + 0.615580i
\(362\) −15.7547 7.58704i −0.828046 0.398766i
\(363\) 16.8672 21.1508i 0.885298 1.11013i
\(364\) −4.11168 5.15588i −0.215510 0.270241i
\(365\) 1.29718 + 0.624688i 0.0678974 + 0.0326977i
\(366\) −26.1823 12.6087i −1.36857 0.659069i
\(367\) 9.39197 + 11.7772i 0.490257 + 0.614763i 0.964001 0.265900i \(-0.0856692\pi\)
−0.473744 + 0.880663i \(0.657098\pi\)
\(368\) 0.414542 0.519820i 0.0216095 0.0270975i
\(369\) −19.5966 9.43724i −1.02016 0.491283i
\(370\) 2.47278 + 10.8339i 0.128554 + 0.563230i
\(371\) −0.668861 2.93047i −0.0347256 0.152143i
\(372\) 12.4558 15.6190i 0.645801 0.809809i
\(373\) 0.0735814 0.0354349i 0.00380990 0.00183475i −0.431978 0.901884i \(-0.642184\pi\)
0.435788 + 0.900049i \(0.356470\pi\)
\(374\) 0.157193 0.688709i 0.00812828 0.0356123i
\(375\) 2.29359 1.10454i 0.118441 0.0570380i
\(376\) −4.65136 5.83262i −0.239876 0.300794i
\(377\) 2.32965 + 10.2069i 0.119983 + 0.525681i
\(378\) −2.79158 3.50053i −0.143583 0.180048i
\(379\) −3.43648 + 15.0562i −0.176520 + 0.773385i 0.806700 + 0.590961i \(0.201251\pi\)
−0.983220 + 0.182424i \(0.941606\pi\)
\(380\) −2.64635 −0.135755
\(381\) 21.7551 1.11455
\(382\) 4.88411 21.3987i 0.249893 1.09485i
\(383\) 9.88586 12.3965i 0.505144 0.633430i −0.462237 0.886756i \(-0.652953\pi\)
0.967381 + 0.253326i \(0.0815246\pi\)
\(384\) 2.29359 + 1.10454i 0.117045 + 0.0563657i
\(385\) 2.01405 0.969918i 0.102646 0.0494316i
\(386\) −8.22884 −0.418837
\(387\) 19.8848 + 11.2034i 1.01080 + 0.569500i
\(388\) −10.7854 −0.547548
\(389\) 18.7944 9.05090i 0.952913 0.458899i 0.108207 0.994128i \(-0.465489\pi\)
0.844707 + 0.535230i \(0.179775\pi\)
\(390\) −4.13291 1.99031i −0.209278 0.100783i
\(391\) 0.479425 0.601180i 0.0242456 0.0304030i
\(392\) −1.42272 + 6.23336i −0.0718584 + 0.314832i
\(393\) 15.8183 0.797930
\(394\) −17.9304 −0.903319
\(395\) 2.71861 11.9110i 0.136788 0.599309i
\(396\) −1.32554 1.66217i −0.0666108 0.0835274i
\(397\) −2.51600 11.0233i −0.126274 0.553245i −0.997998 0.0632464i \(-0.979855\pi\)
0.871723 0.489998i \(-0.163003\pi\)
\(398\) −6.91934 8.67658i −0.346835 0.434918i
\(399\) −22.2134 + 10.6974i −1.11206 + 0.535539i
\(400\) −0.222521 + 0.974928i −0.0111260 + 0.0487464i
\(401\) −15.2968 + 7.36653i −0.763884 + 0.367867i −0.774910 0.632072i \(-0.782205\pi\)
0.0110257 + 0.999939i \(0.496490\pi\)
\(402\) 4.71790 5.91606i 0.235308 0.295066i
\(403\) −3.14662 13.7863i −0.156744 0.686742i
\(404\) −0.453291 1.98600i −0.0225521 0.0988071i
\(405\) 6.60168 + 3.17920i 0.328040 + 0.157976i
\(406\) 13.2574 16.6243i 0.657955 0.825050i
\(407\) 4.23210 + 5.30688i 0.209777 + 0.263052i
\(408\) 2.65258 + 1.27741i 0.131322 + 0.0632414i
\(409\) −25.8694 12.4580i −1.27916 0.616010i −0.333984 0.942579i \(-0.608393\pi\)
−0.945173 + 0.326569i \(0.894108\pi\)
\(410\) 3.89628 + 4.88578i 0.192423 + 0.241291i
\(411\) 32.7024 41.0075i 1.61309 2.02275i
\(412\) 3.55555 + 1.71226i 0.175169 + 0.0843570i
\(413\) 0.0639291 + 0.280092i 0.00314575 + 0.0137824i
\(414\) −0.514946 2.25613i −0.0253082 0.110883i
\(415\) 6.12978 7.68651i 0.300899 0.377316i
\(416\) 1.62349 0.781831i 0.0795981 0.0383324i
\(417\) 10.1744 44.5771i 0.498244 2.18295i
\(418\) −1.45636 + 0.701347i −0.0712330 + 0.0343040i
\(419\) −4.03632 5.06139i −0.197187 0.247265i 0.673401 0.739278i \(-0.264833\pi\)
−0.870588 + 0.492013i \(0.836261\pi\)
\(420\) 2.07313 + 9.08299i 0.101159 + 0.443205i
\(421\) 14.4886 + 18.1681i 0.706129 + 0.885457i 0.997465 0.0711634i \(-0.0226712\pi\)
−0.291336 + 0.956621i \(0.594100\pi\)
\(422\) 3.12573 13.6947i 0.152158 0.666648i
\(423\) −25.9658 −1.26250
\(424\) 0.821326 0.0398871
\(425\) −0.257349 + 1.12752i −0.0124833 + 0.0546927i
\(426\) −18.6933 + 23.4407i −0.905693 + 1.13570i
\(427\) 37.6401 + 18.1265i 1.82153 + 0.877203i
\(428\) −8.39646 + 4.04352i −0.405858 + 0.195451i
\(429\) −2.80194 −0.135279
\(430\) −3.75070 5.37887i −0.180875 0.259392i
\(431\) −26.8763 −1.29459 −0.647293 0.762242i \(-0.724099\pi\)
−0.647293 + 0.762242i \(0.724099\pi\)
\(432\) 1.10225 0.530816i 0.0530321 0.0255389i
\(433\) 28.7472 + 13.8439i 1.38150 + 0.665297i 0.969320 0.245804i \(-0.0790519\pi\)
0.412184 + 0.911101i \(0.364766\pi\)
\(434\) −17.9066 + 22.4542i −0.859544 + 1.07783i
\(435\) 3.29123 14.4198i 0.157802 0.691377i
\(436\) −10.1262 −0.484958
\(437\) −1.75949 −0.0841680
\(438\) −0.815581 + 3.57330i −0.0389700 + 0.170739i
\(439\) 22.5201 + 28.2393i 1.07482 + 1.34779i 0.933806 + 0.357780i \(0.116466\pi\)
0.141019 + 0.990007i \(0.454962\pi\)
\(440\) 0.135920 + 0.595504i 0.00647972 + 0.0283895i
\(441\) 13.8749 + 17.3986i 0.660710 + 0.828505i
\(442\) 1.87759 0.904201i 0.0893079 0.0430084i
\(443\) 0.633425 2.77522i 0.0300949 0.131854i −0.957649 0.287939i \(-0.907030\pi\)
0.987744 + 0.156084i \(0.0498872\pi\)
\(444\) −25.4877 + 12.2742i −1.20959 + 0.582509i
\(445\) −7.31720 + 9.17548i −0.346868 + 0.434959i
\(446\) 1.84317 + 8.07547i 0.0872768 + 0.382385i
\(447\) 9.90624 + 43.4021i 0.468549 + 2.05285i
\(448\) −3.29731 1.58790i −0.155783 0.0750212i
\(449\) −2.61732 + 3.28202i −0.123519 + 0.154888i −0.839746 0.542979i \(-0.817296\pi\)
0.716227 + 0.697867i \(0.245868\pi\)
\(450\) 2.17010 + 2.72123i 0.102300 + 0.128280i
\(451\) 3.43908 + 1.65617i 0.161940 + 0.0779861i
\(452\) −9.58784 4.61726i −0.450974 0.217178i
\(453\) 14.3274 + 17.9660i 0.673162 + 0.844118i
\(454\) 1.95316 2.44919i 0.0916665 0.114946i
\(455\) 5.94154 + 2.86130i 0.278544 + 0.134140i
\(456\) −1.49908 6.56791i −0.0702010 0.307571i
\(457\) −3.53468 15.4865i −0.165346 0.724426i −0.987817 0.155620i \(-0.950263\pi\)
0.822471 0.568806i \(-0.192595\pi\)
\(458\) 1.76167 2.20907i 0.0823175 0.103223i
\(459\) 1.27477 0.613897i 0.0595012 0.0286543i
\(460\) −0.147948 + 0.648205i −0.00689813 + 0.0302227i
\(461\) 13.1153 6.31602i 0.610843 0.294166i −0.102772 0.994705i \(-0.532771\pi\)
0.713614 + 0.700539i \(0.247057\pi\)
\(462\) 3.54812 + 4.44920i 0.165073 + 0.206995i
\(463\) 2.75075 + 12.0518i 0.127838 + 0.560095i 0.997759 + 0.0669044i \(0.0213123\pi\)
−0.869921 + 0.493190i \(0.835831\pi\)
\(464\) 3.62251 + 4.54248i 0.168171 + 0.210880i
\(465\) −4.44541 + 19.4766i −0.206151 + 0.903206i
\(466\) −0.0568777 −0.00263481
\(467\) 22.3308 1.03335 0.516674 0.856182i \(-0.327170\pi\)
0.516674 + 0.856182i \(0.327170\pi\)
\(468\) 1.39560 6.11454i 0.0645118 0.282645i
\(469\) −6.78253 + 8.50503i −0.313188 + 0.392726i
\(470\) 6.72141 + 3.23686i 0.310036 + 0.149305i
\(471\) −10.5052 + 5.05902i −0.484052 + 0.233107i
\(472\) −0.0785015 −0.00361333
\(473\) −3.48964 1.96612i −0.160454 0.0904023i
\(474\) 31.1017 1.42855
\(475\) 2.38428 1.14821i 0.109398 0.0526835i
\(476\) −3.81339 1.83643i −0.174786 0.0841727i
\(477\) 1.78236 2.23501i 0.0816088 0.102334i
\(478\) 4.56739 20.0110i 0.208907 0.915283i
\(479\) 28.7709 1.31458 0.657288 0.753640i \(-0.271704\pi\)
0.657288 + 0.753640i \(0.271704\pi\)
\(480\) −2.54570 −0.116195
\(481\) −4.45579 + 19.5221i −0.203167 + 0.890131i
\(482\) −5.92643 7.43150i −0.269941 0.338496i
\(483\) 1.37837 + 6.03905i 0.0627182 + 0.274786i
\(484\) −6.62576 8.30845i −0.301171 0.377657i
\(485\) 9.71734 4.67963i 0.441242 0.212491i
\(486\) −4.96741 + 21.7636i −0.225326 + 0.987219i
\(487\) −20.6739 + 9.95603i −0.936824 + 0.451151i −0.839048 0.544058i \(-0.816887\pi\)
−0.0977763 + 0.995208i \(0.531173\pi\)
\(488\) −7.11739 + 8.92492i −0.322189 + 0.404012i
\(489\) −2.68472 11.7625i −0.121407 0.531920i
\(490\) −1.42272 6.23336i −0.0642721 0.281595i
\(491\) −21.3651 10.2889i −0.964193 0.464331i −0.115553 0.993301i \(-0.536864\pi\)
−0.848640 + 0.528970i \(0.822578\pi\)
\(492\) −9.91874 + 12.4377i −0.447171 + 0.560735i
\(493\) 4.18949 + 5.25346i 0.188685 + 0.236604i
\(494\) −4.29633 2.06900i −0.193301 0.0930888i
\(495\) 1.91546 + 0.922437i 0.0860935 + 0.0414604i
\(496\) −4.89287 6.13546i −0.219696 0.275490i
\(497\) 26.8738 33.6987i 1.20545 1.51159i
\(498\) 22.5493 + 10.8592i 1.01046 + 0.486610i
\(499\) 0.379507 + 1.66273i 0.0169891 + 0.0744339i 0.982712 0.185142i \(-0.0592744\pi\)
−0.965723 + 0.259576i \(0.916417\pi\)
\(500\) −0.222521 0.974928i −0.00995144 0.0436001i
\(501\) −37.9455 + 47.5821i −1.69528 + 2.12581i
\(502\) −16.9250 + 8.15064i −0.755399 + 0.363781i
\(503\) 6.88974 30.1859i 0.307198 1.34592i −0.551813 0.833968i \(-0.686064\pi\)
0.859012 0.511956i \(-0.171079\pi\)
\(504\) −11.4765 + 5.52681i −0.511206 + 0.246184i
\(505\) 1.27009 + 1.59265i 0.0565184 + 0.0708718i
\(506\) 0.0903696 + 0.395935i 0.00401742 + 0.0176015i
\(507\) 15.4802 + 19.4115i 0.687498 + 0.862095i
\(508\) 1.90163 8.33158i 0.0843711 0.369654i
\(509\) −27.1410 −1.20300 −0.601501 0.798872i \(-0.705431\pi\)
−0.601501 + 0.798872i \(0.705431\pi\)
\(510\) −2.94414 −0.130369
\(511\) 1.17249 5.13703i 0.0518680 0.227249i
\(512\) 0.623490 0.781831i 0.0275546 0.0345524i
\(513\) −2.91695 1.40473i −0.128786 0.0620202i
\(514\) −12.3232 + 5.93453i −0.543552 + 0.261761i
\(515\) −3.94636 −0.173897
\(516\) 11.2250 12.3557i 0.494154 0.543931i
\(517\) 4.55683 0.200409
\(518\) 36.6415 17.6456i 1.60994 0.775305i
\(519\) −36.9232 17.7813i −1.62075 0.780511i
\(520\) −1.12349 + 1.40881i −0.0492683 + 0.0617805i
\(521\) 10.0034 43.8279i 0.438259 1.92014i 0.0495596 0.998771i \(-0.484218\pi\)
0.388699 0.921365i \(-0.372925\pi\)
\(522\) 20.2224 0.885108
\(523\) −37.5954 −1.64393 −0.821966 0.569537i \(-0.807122\pi\)
−0.821966 + 0.569537i \(0.807122\pi\)
\(524\) 1.38269 6.05796i 0.0604031 0.264643i
\(525\) −5.80879 7.28400i −0.253517 0.317900i
\(526\) 4.73709 + 20.7545i 0.206547 + 0.904941i
\(527\) −5.65868 7.09576i −0.246496 0.309096i
\(528\) −1.40097 + 0.674671i −0.0609693 + 0.0293613i
\(529\) 5.01961 21.9924i 0.218244 0.956190i
\(530\) −0.739989 + 0.356360i −0.0321431 + 0.0154793i
\(531\) −0.170357 + 0.213620i −0.00739285 + 0.00927034i
\(532\) 2.15511 + 9.44213i 0.0934357 + 0.409368i
\(533\) 2.50571 + 10.9782i 0.108534 + 0.475520i
\(534\) −26.9173 12.9627i −1.16483 0.560951i
\(535\) 5.81053 7.28618i 0.251211 0.315009i
\(536\) −1.85328 2.32395i −0.0800497 0.100379i
\(537\) −11.4399 5.50915i −0.493667 0.237738i
\(538\) 5.99997 + 2.88943i 0.258677 + 0.124572i
\(539\) −2.43495 3.05334i −0.104881 0.131517i
\(540\) −0.762781 + 0.956497i −0.0328249 + 0.0411611i
\(541\) 0.417915 + 0.201257i 0.0179676 + 0.00865273i 0.442846 0.896598i \(-0.353969\pi\)
−0.424878 + 0.905250i \(0.639683\pi\)
\(542\) −4.05920 17.7845i −0.174357 0.763910i
\(543\) 9.90551 + 43.3989i 0.425086 + 1.86242i
\(544\) 0.721076 0.904201i 0.0309159 0.0387673i
\(545\) 9.12340 4.39360i 0.390804 0.188201i
\(546\) −3.73566 + 16.3670i −0.159871 + 0.700443i
\(547\) −6.77989 + 3.26502i −0.289887 + 0.139602i −0.573176 0.819432i \(-0.694289\pi\)
0.283289 + 0.959035i \(0.408575\pi\)
\(548\) −12.8462 16.1086i −0.548761 0.688124i
\(549\) 8.84125 + 38.7360i 0.377335 + 1.65321i
\(550\) −0.380839 0.477557i −0.0162390 0.0203631i
\(551\) 3.42136 14.9900i 0.145755 0.638594i
\(552\) −1.69257 −0.0720405
\(553\) −44.7122 −1.90136
\(554\) 5.28580 23.1586i 0.224572 0.983915i
\(555\) 17.6380 22.1174i 0.748693 0.938832i
\(556\) −16.1824 7.79302i −0.686285 0.330498i
\(557\) 15.0361 7.24098i 0.637098 0.306810i −0.0873104 0.996181i \(-0.527827\pi\)
0.724409 + 0.689371i \(0.242113\pi\)
\(558\) −27.3140 −1.15629
\(559\) −1.88385 11.6650i −0.0796782 0.493375i
\(560\) 3.65974 0.154652
\(561\) −1.62024 + 0.780268i −0.0684067 + 0.0329429i
\(562\) −25.9844 12.5134i −1.09609 0.527848i
\(563\) 9.90342 12.4185i 0.417379 0.523377i −0.528046 0.849216i \(-0.677075\pi\)
0.945425 + 0.325839i \(0.105647\pi\)
\(564\) −4.22599 + 18.5153i −0.177946 + 0.779633i
\(565\) 10.6417 0.447700
\(566\) 26.1389 1.09870
\(567\) 5.96713 26.1437i 0.250596 1.09793i
\(568\) 7.34309 + 9.20795i 0.308109 + 0.386357i
\(569\) −7.50620 32.8868i −0.314676 1.37869i −0.846751 0.531990i \(-0.821444\pi\)
0.532074 0.846698i \(-0.321413\pi\)
\(570\) 4.20034 + 5.26706i 0.175933 + 0.220613i
\(571\) −33.7766 + 16.2660i −1.41351 + 0.680709i −0.975852 0.218433i \(-0.929905\pi\)
−0.437656 + 0.899143i \(0.644191\pi\)
\(572\) −0.244919 + 1.07306i −0.0102406 + 0.0448669i
\(573\) −50.3421 + 24.2435i −2.10307 + 1.01279i
\(574\) 14.2593 17.8806i 0.595173 0.746324i
\(575\) −0.147948 0.648205i −0.00616988 0.0270320i
\(576\) −0.774501 3.39331i −0.0322709 0.141388i
\(577\) 13.5654 + 6.53274i 0.564734 + 0.271961i 0.694392 0.719597i \(-0.255674\pi\)
−0.129658 + 0.991559i \(0.541388\pi\)
\(578\) −9.76539 + 12.2454i −0.406187 + 0.509342i
\(579\) 13.0609 + 16.3779i 0.542794 + 0.680643i
\(580\) −5.23468 2.52089i −0.217358 0.104674i
\(581\) −32.4172 15.6113i −1.34489 0.647666i
\(582\) 17.1188 + 21.4663i 0.709598 + 0.889808i
\(583\) −0.312793 + 0.392230i −0.0129546 + 0.0162445i
\(584\) 1.29718 + 0.624688i 0.0536776 + 0.0258498i
\(585\) 1.39560 + 6.11454i 0.0577011 + 0.252805i
\(586\) −1.04781 4.59077i −0.0432847 0.189643i
\(587\) 5.37900 6.74505i 0.222015 0.278398i −0.658333 0.752727i \(-0.728738\pi\)
0.880348 + 0.474329i \(0.157309\pi\)
\(588\) 14.6645 7.06204i 0.604753 0.291233i
\(589\) −4.62118 + 20.2467i −0.190412 + 0.834251i
\(590\) 0.0707274 0.0340605i 0.00291180 0.00140225i
\(591\) 28.4594 + 35.6869i 1.17066 + 1.46796i
\(592\) 2.47278 + 10.8339i 0.101631 + 0.445273i
\(593\) −12.5131 15.6909i −0.513852 0.644350i 0.455439 0.890267i \(-0.349482\pi\)
−0.969291 + 0.245917i \(0.920911\pi\)
\(594\) −0.166285 + 0.728542i −0.00682276 + 0.0298925i
\(595\) 4.23254 0.173517
\(596\) 17.4876 0.716321
\(597\) −6.28656 + 27.5432i −0.257292 + 1.12727i
\(598\) −0.746980 + 0.936683i −0.0305463 + 0.0383038i
\(599\) −9.30330 4.48023i −0.380122 0.183057i 0.234059 0.972222i \(-0.424799\pi\)
−0.614181 + 0.789165i \(0.710514\pi\)
\(600\) 2.29359 1.10454i 0.0936356 0.0450925i
\(601\) 16.8853 0.688767 0.344384 0.938829i \(-0.388088\pi\)
0.344384 + 0.938829i \(0.388088\pi\)
\(602\) −16.1373 + 17.7628i −0.657705 + 0.723957i
\(603\) −10.3458 −0.421314
\(604\) 8.13284 3.91657i 0.330920 0.159363i
\(605\) 9.57451 + 4.61084i 0.389259 + 0.187457i
\(606\) −3.23327 + 4.05440i −0.131343 + 0.164699i
\(607\) 10.1688 44.5524i 0.412738 1.80833i −0.158288 0.987393i \(-0.550597\pi\)
0.571026 0.820932i \(-0.306546\pi\)
\(608\) −2.64635 −0.107324
\(609\) −54.1299 −2.19345
\(610\) 2.54017 11.1292i 0.102848 0.450608i
\(611\) 8.38146 + 10.5100i 0.339078 + 0.425190i
\(612\) −0.895723 3.92442i −0.0362075 0.158635i
\(613\) 9.97242 + 12.5050i 0.402782 + 0.505073i 0.941314 0.337532i \(-0.109592\pi\)
−0.538532 + 0.842605i \(0.681021\pi\)
\(614\) 7.70626 3.71114i 0.310999 0.149769i
\(615\) 3.53996 15.5096i 0.142745 0.625406i
\(616\) 2.01405 0.969918i 0.0811486 0.0390791i
\(617\) −16.3657 + 20.5220i −0.658859 + 0.826183i −0.993218 0.116263i \(-0.962909\pi\)
0.334360 + 0.942446i \(0.391480\pi\)
\(618\) −2.23550 9.79436i −0.0899249 0.393987i
\(619\) 0.584772 + 2.56205i 0.0235040 + 0.102978i 0.985319 0.170722i \(-0.0546099\pi\)
−0.961815 + 0.273699i \(0.911753\pi\)
\(620\) 7.07040 + 3.40492i 0.283954 + 0.136745i
\(621\) −0.507154 + 0.635950i −0.0203514 + 0.0255198i
\(622\) 9.27889 + 11.6354i 0.372050 + 0.466535i
\(623\) 38.6968 + 18.6354i 1.55035 + 0.746611i
\(624\) −4.13291 1.99031i −0.165449 0.0796760i
\(625\) 0.623490 + 0.781831i 0.0249396 + 0.0312733i
\(626\) 1.31462 1.64848i 0.0525426 0.0658864i
\(627\) 3.70746 + 1.78542i 0.148062 + 0.0713027i
\(628\) 1.01919 + 4.46538i 0.0406703 + 0.178188i
\(629\) 2.85981 + 12.5296i 0.114028 + 0.499589i
\(630\) 7.94201 9.95896i 0.316417 0.396775i
\(631\) 38.0147 18.3069i 1.51334 0.728786i 0.521144 0.853469i \(-0.325506\pi\)
0.992197 + 0.124683i \(0.0397913\pi\)
\(632\) 2.71861 11.9110i 0.108141 0.473795i
\(633\) −32.2179 + 15.5153i −1.28055 + 0.616678i
\(634\) 17.1501 + 21.5055i 0.681117 + 0.854093i
\(635\) 1.90163 + 8.33158i 0.0754638 + 0.330629i
\(636\) −1.30362 1.63469i −0.0516920 0.0648197i
\(637\) 2.56366 11.2321i 0.101576 0.445033i
\(638\) −3.54889 −0.140502
\(639\) 40.9922 1.62163
\(640\) −0.222521 + 0.974928i −0.00879591 + 0.0385374i
\(641\) −1.68578 + 2.11390i −0.0665844 + 0.0834942i −0.814008 0.580853i \(-0.802719\pi\)
0.747424 + 0.664347i \(0.231290\pi\)
\(642\) 21.3749 + 10.2936i 0.843598 + 0.406256i
\(643\) −33.1399 + 15.9593i −1.30691 + 0.629375i −0.952164 0.305588i \(-0.901147\pi\)
−0.354746 + 0.934963i \(0.615433\pi\)
\(644\) 2.43326 0.0958840
\(645\) −4.75244 + 16.0025i −0.187127 + 0.630097i
\(646\) −3.06055 −0.120416
\(647\) 7.76579 3.73981i 0.305305 0.147027i −0.274958 0.961456i \(-0.588664\pi\)
0.580263 + 0.814429i \(0.302950\pi\)
\(648\) 6.60168 + 3.17920i 0.259338 + 0.124891i
\(649\) 0.0298964 0.0374889i 0.00117354 0.00147157i
\(650\) 0.400969 1.75676i 0.0157273 0.0689058i
\(651\) 73.1123 2.86550
\(652\) −4.73938 −0.185608
\(653\) −8.97746 + 39.3328i −0.351315 + 1.53921i 0.422832 + 0.906208i \(0.361036\pi\)
−0.774148 + 0.633005i \(0.781821\pi\)
\(654\) 16.0725 + 20.1543i 0.628484 + 0.788094i
\(655\) 1.38269 + 6.05796i 0.0540262 + 0.236704i
\(656\) 3.89628 + 4.88578i 0.152124 + 0.190758i
\(657\) 4.51493 2.17427i 0.176144 0.0848265i
\(658\) 6.07535 26.6178i 0.236842 1.03767i
\(659\) 15.8011 7.60940i 0.615522 0.296420i −0.100024 0.994985i \(-0.531892\pi\)
0.715547 + 0.698565i \(0.246178\pi\)
\(660\) 0.969501 1.21572i 0.0377378 0.0473217i
\(661\) 4.48259 + 19.6395i 0.174353 + 0.763889i 0.984173 + 0.177211i \(0.0567074\pi\)
−0.809820 + 0.586678i \(0.800435\pi\)
\(662\) −0.494745 2.16762i −0.0192288 0.0842468i
\(663\) −4.77978 2.30182i −0.185631 0.0893953i
\(664\) 6.12978 7.68651i 0.237882 0.298294i
\(665\) −6.03847 7.57200i −0.234162 0.293630i
\(666\) 34.8478 + 16.7818i 1.35032 + 0.650282i
\(667\) −3.48040 1.67607i −0.134762 0.0648979i
\(668\) 14.9057 + 18.6912i 0.576720 + 0.723184i
\(669\) 13.1472 16.4860i 0.508298 0.637386i
\(670\) 2.67807 + 1.28969i 0.103463 + 0.0498252i
\(671\) −1.55158 6.79791i −0.0598980 0.262431i
\(672\) 2.07313 + 9.08299i 0.0799729 + 0.350384i
\(673\) −5.70751 + 7.15699i −0.220008 + 0.275882i −0.879571 0.475768i \(-0.842170\pi\)
0.659563 + 0.751650i \(0.270742\pi\)
\(674\) 1.38881 0.668813i 0.0534948 0.0257617i
\(675\) 0.272233 1.19273i 0.0104783 0.0459083i
\(676\) 8.78717 4.23168i 0.337968 0.162757i
\(677\) −18.9634 23.7794i −0.728823 0.913915i 0.269978 0.962866i \(-0.412983\pi\)
−0.998801 + 0.0489516i \(0.984412\pi\)
\(678\) 6.02821 + 26.4113i 0.231512 + 1.01432i
\(679\) −24.6103 30.8603i −0.944456 1.18431i
\(680\) −0.257349 + 1.12752i −0.00986888 + 0.0432384i
\(681\) −7.97474 −0.305593
\(682\) 4.79342 0.183550
\(683\) −5.91424 + 25.9120i −0.226302 + 0.991495i 0.726324 + 0.687352i \(0.241227\pi\)
−0.952626 + 0.304143i \(0.901630\pi\)
\(684\) −5.74287 + 7.20133i −0.219584 + 0.275350i
\(685\) 18.5632 + 8.93958i 0.709265 + 0.341564i
\(686\) 1.99928 0.962803i 0.0763329 0.0367600i
\(687\) −7.19288 −0.274425
\(688\) −3.75070 5.37887i −0.142994 0.205068i
\(689\) −1.47998 −0.0563827
\(690\) 1.52495 0.734378i 0.0580539 0.0279573i
\(691\) 20.9218 + 10.0754i 0.795902 + 0.383286i 0.787217 0.616676i \(-0.211521\pi\)
0.00868526 + 0.999962i \(0.497235\pi\)
\(692\) −10.0372 + 12.5862i −0.381557 + 0.478457i
\(693\) 1.73135 7.58552i 0.0657684 0.288150i
\(694\) −4.13681 −0.157031
\(695\) 17.9611 0.681302
\(696\) 3.29123 14.4198i 0.124754 0.546582i
\(697\) 4.50611 + 5.65048i 0.170681 + 0.214027i
\(698\) −6.42676 28.1575i −0.243257 1.06578i
\(699\) 0.0902773 + 0.113204i 0.00341460 + 0.00428177i
\(700\) −3.29731 + 1.58790i −0.124627 + 0.0600170i
\(701\) 1.47609 6.46719i 0.0557513 0.244263i −0.939372 0.342899i \(-0.888591\pi\)
0.995124 + 0.0986367i \(0.0314482\pi\)
\(702\) −1.98619 + 0.956497i −0.0749638 + 0.0361007i
\(703\) 18.3354 22.9919i 0.691535 0.867157i
\(704\) 0.135920 + 0.595504i 0.00512267 + 0.0224439i
\(705\) −4.22599 18.5153i −0.159160 0.697325i
\(706\) −29.5315 14.2216i −1.11143 0.535239i
\(707\) 4.64820 5.82866i 0.174814 0.219209i
\(708\) 0.124599 + 0.156242i 0.00468272 + 0.00587194i
\(709\) 41.9086 + 20.1821i 1.57391 + 0.757955i 0.998216 0.0597094i \(-0.0190174\pi\)
0.575695 + 0.817665i \(0.304732\pi\)
\(710\) −10.6111 5.11003i −0.398227 0.191776i
\(711\) −26.5129 33.2461i −0.994312 1.24683i
\(712\) −7.31720 + 9.17548i −0.274224 + 0.343866i
\(713\) 4.70093 + 2.26385i 0.176051 + 0.0847817i
\(714\) 2.39761 + 10.5046i 0.0897284 + 0.393126i
\(715\) −0.244919 1.07306i −0.00915945 0.0401302i
\(716\) −3.10981 + 3.89958i −0.116219 + 0.145734i
\(717\) −47.0775 + 22.6713i −1.75814 + 0.846677i
\(718\) 5.67812 24.8775i 0.211906 0.928419i
\(719\) 36.6412 17.6455i 1.36649 0.658065i 0.400413 0.916335i \(-0.368867\pi\)
0.966073 + 0.258269i \(0.0831522\pi\)
\(720\) 2.17010 + 2.72123i 0.0808750 + 0.101414i
\(721\) 3.21379 + 14.0805i 0.119688 + 0.524386i
\(722\) −7.47989 9.37948i −0.278373 0.349068i
\(723\) −5.38445 + 23.5908i −0.200250 + 0.877352i
\(724\) 17.4863 0.649875
\(725\) 5.81006 0.215780
\(726\) −6.01983 + 26.3746i −0.223417 + 0.978854i
\(727\) −21.4209 + 26.8609i −0.794456 + 0.996217i 0.205390 + 0.978680i \(0.434154\pi\)
−0.999846 + 0.0175364i \(0.994418\pi\)
\(728\) 5.94154 + 2.86130i 0.220208 + 0.106047i
\(729\) 31.3957 15.1193i 1.16280 0.559976i
\(730\) −1.43976 −0.0532878
\(731\) −4.33774 6.22075i −0.160437 0.230083i
\(732\) 29.0602 1.07409
\(733\) −40.2953 + 19.4052i −1.48834 + 0.716747i −0.988759 0.149520i \(-0.952227\pi\)
−0.499581 + 0.866267i \(0.666513\pi\)
\(734\) −13.5718 6.53583i −0.500944 0.241242i
\(735\) −10.1481 + 12.7254i −0.374319 + 0.469382i
\(736\) −0.147948 + 0.648205i −0.00545345 + 0.0238931i
\(737\) 1.81562 0.0668792
\(738\) 21.7506 0.800652
\(739\) 0.273146 1.19673i 0.0100478 0.0440225i −0.969655 0.244475i \(-0.921384\pi\)
0.979703 + 0.200453i \(0.0642414\pi\)
\(740\) −6.92857 8.68815i −0.254699 0.319383i
\(741\) 2.70125 + 11.8350i 0.0992331 + 0.434768i
\(742\) 1.87411 + 2.35006i 0.0688007 + 0.0862733i
\(743\) 7.07505 3.40716i 0.259558 0.124997i −0.299580 0.954071i \(-0.596846\pi\)
0.559138 + 0.829075i \(0.311132\pi\)
\(744\) −4.44541 + 19.4766i −0.162977 + 0.714047i
\(745\) −15.7558 + 7.58760i −0.577248 + 0.277988i
\(746\) −0.0509199 + 0.0638515i −0.00186431 + 0.00233777i
\(747\) −7.61444 33.3611i −0.278598 1.22062i
\(748\) 0.157193 + 0.688709i 0.00574756 + 0.0251817i
\(749\) −30.7288 14.7982i −1.12281 0.540715i
\(750\) −1.58722 + 1.99031i −0.0579570 + 0.0726757i
\(751\) −30.3434 38.0494i −1.10725 1.38844i −0.913230 0.407445i \(-0.866420\pi\)
−0.194017 0.980998i \(-0.562152\pi\)
\(752\) 6.72141 + 3.23686i 0.245105 + 0.118036i
\(753\) 43.0859 + 20.7491i 1.57014 + 0.756138i
\(754\) −6.52754 8.18527i −0.237719 0.298090i
\(755\) −5.62810 + 7.05741i −0.204827 + 0.256846i
\(756\) 4.03395 + 1.94265i 0.146713 + 0.0706533i
\(757\) 7.30948 + 32.0249i 0.265667 + 1.16396i 0.914998 + 0.403459i \(0.132192\pi\)
−0.649331 + 0.760506i \(0.724951\pi\)
\(758\) −3.43648 15.0562i −0.124819 0.546866i
\(759\) 0.644596 0.808298i 0.0233974 0.0293394i
\(760\) 2.38428 1.14821i 0.0864870 0.0416500i
\(761\) 1.09996 4.81924i 0.0398735 0.174697i −0.951070 0.308975i \(-0.900014\pi\)
0.990944 + 0.134277i \(0.0428713\pi\)
\(762\) −19.6007 + 9.43920i −0.710058 + 0.341946i
\(763\) −23.1061 28.9741i −0.836496 1.04893i
\(764\) 4.88411 + 21.3987i 0.176701 + 0.774177i
\(765\) 2.50976 + 3.14714i 0.0907406 + 0.113785i
\(766\) −3.52822 + 15.4582i −0.127480 + 0.558526i
\(767\) 0.141455 0.00510764
\(768\) −2.54570 −0.0918600
\(769\) −4.33830 + 19.0073i −0.156443 + 0.685422i 0.834485 + 0.551030i \(0.185765\pi\)
−0.990928 + 0.134391i \(0.957092\pi\)
\(770\) −1.39377 + 1.74773i −0.0502280 + 0.0629839i
\(771\) 31.3711 + 15.1075i 1.12980 + 0.544084i
\(772\) 7.41393 3.57036i 0.266833 0.128500i
\(773\) −17.1308 −0.616152 −0.308076 0.951362i \(-0.599685\pi\)
−0.308076 + 0.951362i \(0.599685\pi\)
\(774\) −22.7765 1.46622i −0.818685 0.0527024i
\(775\) −7.84755 −0.281892
\(776\) 9.71734 4.67963i 0.348832 0.167989i
\(777\) −93.2783 44.9205i −3.34634 1.61151i
\(778\) −13.0061 + 16.3092i −0.466292 + 0.584712i
\(779\) 3.67993 16.1228i 0.131847 0.577660i
\(780\) 4.58719 0.164248
\(781\) −7.19385 −0.257416
\(782\) −0.171105 + 0.749659i −0.00611869 + 0.0268077i
\(783\) −4.43180 5.55730i −0.158380 0.198602i
\(784\) −1.42272 6.23336i −0.0508116 0.222620i
\(785\) −2.85572 3.58096i −0.101925 0.127810i
\(786\) −14.2518 + 6.86332i −0.508346 + 0.244807i
\(787\) −7.81237 + 34.2282i −0.278481 + 1.22011i 0.621233 + 0.783626i \(0.286632\pi\)
−0.899714 + 0.436479i \(0.856225\pi\)
\(788\) 16.1547 7.77970i 0.575488 0.277140i
\(789\) 33.7891 42.3702i 1.20292 1.50842i
\(790\) 2.71861 + 11.9110i 0.0967239 + 0.423775i
\(791\) −8.66626 37.9693i −0.308137 1.35003i
\(792\) 1.91546 + 0.922437i 0.0680629 + 0.0327774i
\(793\) 12.8251 16.0822i 0.455432 0.571094i
\(794\) 7.04968 + 8.84002i 0.250184 + 0.313720i
\(795\) 1.88379 + 0.907185i 0.0668111 + 0.0321745i
\(796\) 9.99874 + 4.81514i 0.354396 + 0.170668i
\(797\) 2.02527 + 2.53961i 0.0717387 + 0.0899575i 0.816406 0.577478i \(-0.195963\pi\)
−0.744667 + 0.667436i \(0.767392\pi\)
\(798\) 15.3721 19.2760i 0.544167 0.682364i
\(799\) 7.77342 + 3.74348i 0.275004 + 0.132435i
\(800\) −0.222521 0.974928i −0.00786730 0.0344689i
\(801\) 9.08945 + 39.8235i 0.321160 + 1.40709i
\(802\) 10.5857 13.2740i 0.373794 0.468722i
\(803\) −0.792339 + 0.381571i −0.0279610 + 0.0134653i
\(804\) −1.68380 + 7.37721i −0.0593831 + 0.260174i
\(805\) −2.19230 + 1.05575i −0.0772683 + 0.0372104i
\(806\) 8.81664 + 11.0557i 0.310553 + 0.389421i
\(807\) −3.77239 16.5279i −0.132795 0.581811i
\(808\) 1.27009 + 1.59265i 0.0446817 + 0.0560291i
\(809\) 9.21101 40.3561i 0.323842 1.41884i −0.506813 0.862056i \(-0.669176\pi\)
0.830655 0.556788i \(-0.187966\pi\)
\(810\) −7.32731 −0.257455
\(811\) 28.8530 1.01317 0.506584 0.862191i \(-0.330908\pi\)
0.506584 + 0.862191i \(0.330908\pi\)
\(812\) −4.73152 + 20.7302i −0.166044 + 0.727486i
\(813\) −28.9538 + 36.3069i −1.01545 + 1.27334i
\(814\) −6.11555 2.94510i −0.214350 0.103226i
\(815\) 4.27003 2.05634i 0.149573 0.0720304i
\(816\) −2.94414 −0.103066
\(817\) −4.94035 + 16.6352i −0.172841 + 0.581992i
\(818\) 28.7128 1.00392
\(819\) 20.6800 9.95896i 0.722618 0.347994i
\(820\) −5.63028 2.71140i −0.196618 0.0946862i
\(821\) −12.6039 + 15.8048i −0.439878 + 0.551590i −0.951511 0.307614i \(-0.900469\pi\)
0.511633 + 0.859204i \(0.329041\pi\)
\(822\) −11.6714 + 51.1356i −0.407085 + 1.78356i
\(823\) −15.9184 −0.554882 −0.277441 0.960743i \(-0.589486\pi\)
−0.277441 + 0.960743i \(0.589486\pi\)
\(824\) −3.94636 −0.137478
\(825\) −0.346011 + 1.51597i −0.0120465 + 0.0527794i
\(826\) −0.179125 0.224616i −0.00623257 0.00781540i
\(827\) 8.81347 + 38.6143i 0.306474 + 1.34275i 0.860159 + 0.510026i \(0.170364\pi\)
−0.553685 + 0.832726i \(0.686779\pi\)
\(828\) 1.44285 + 1.80927i 0.0501424 + 0.0628766i
\(829\) 49.6001 23.8861i 1.72268 0.829600i 0.734077 0.679066i \(-0.237615\pi\)
0.988605 0.150533i \(-0.0480991\pi\)
\(830\) −2.18769 + 9.58492i −0.0759360 + 0.332697i
\(831\) −54.4825 + 26.2374i −1.88998 + 0.910164i
\(832\) −1.12349 + 1.40881i −0.0389500 + 0.0488418i
\(833\) −1.64540 7.20898i −0.0570098 0.249776i
\(834\) 10.1744 + 44.5771i 0.352312 + 1.54358i
\(835\) −21.5394 10.3728i −0.745401 0.358966i
\(836\) 1.00783 1.26378i 0.0348567 0.0437089i
\(837\) 5.98596 + 7.50616i 0.206905 + 0.259451i
\(838\) 5.83266 + 2.80886i 0.201486 + 0.0970304i
\(839\) 40.7719 + 19.6347i 1.40760 + 0.677866i 0.974688 0.223568i \(-0.0717706\pi\)
0.432915 + 0.901435i \(0.357485\pi\)
\(840\) −5.80879 7.28400i −0.200422 0.251322i
\(841\) 2.96579 3.71898i 0.102269 0.128241i
\(842\) −20.9366 10.0825i −0.721522 0.347466i
\(843\) 16.3373 + 71.5785i 0.562688 + 2.46530i
\(844\) 3.12573 + 13.6947i 0.107592 + 0.471391i
\(845\) −6.08091 + 7.62522i −0.209190 + 0.262315i
\(846\) 23.3944 11.2661i 0.804316 0.387338i
\(847\) 8.65421 37.9166i 0.297362 1.30283i
\(848\) −0.739989 + 0.356360i −0.0254113 + 0.0122375i
\(849\) −41.4881 52.0245i −1.42387 1.78548i
\(850\) −0.257349 1.12752i −0.00882700 0.0386736i
\(851\) −4.60663 5.77653i −0.157913 0.198017i
\(852\) 6.67156 29.2300i 0.228564 1.00140i
\(853\) −40.8469 −1.39857 −0.699286 0.714842i \(-0.746498\pi\)
−0.699286 + 0.714842i \(0.746498\pi\)
\(854\) −41.7774 −1.42959
\(855\) 2.04960 8.97991i 0.0700950 0.307106i
\(856\) 5.81053 7.28618i 0.198600 0.249036i
\(857\) 25.2449 + 12.1573i 0.862348 + 0.415285i 0.812146 0.583454i \(-0.198299\pi\)
0.0502018 + 0.998739i \(0.484014\pi\)
\(858\) 2.52446 1.21572i 0.0861836 0.0415038i
\(859\) 1.03395 0.0352781 0.0176390 0.999844i \(-0.494385\pi\)
0.0176390 + 0.999844i \(0.494385\pi\)
\(860\) 5.71307 + 3.21883i 0.194814 + 0.109761i
\(861\) −58.2206 −1.98415
\(862\) 24.2147 11.6612i 0.824756 0.397181i
\(863\) 30.4916 + 14.6840i 1.03795 + 0.499848i 0.873646 0.486562i \(-0.161749\pi\)
0.164300 + 0.986410i \(0.447464\pi\)
\(864\) −0.762781 + 0.956497i −0.0259503 + 0.0325407i
\(865\) 3.58223 15.6948i 0.121799 0.533638i
\(866\) −31.9070 −1.08424
\(867\) 39.8719 1.35412
\(868\) 6.39079 27.9999i 0.216918 0.950378i
\(869\) 4.65284 + 5.83447i 0.157837 + 0.197921i
\(870\) 3.29123 + 14.4198i 0.111583 + 0.488878i
\(871\) 3.33950 + 4.18761i 0.113155 + 0.141892i
\(872\) 9.12340 4.39360i 0.308957 0.148786i
\(873\) 8.35334 36.5984i 0.282718 1.23867i
\(874\) 1.58525 0.763415i 0.0536218 0.0258229i
\(875\) 2.28181 2.86130i 0.0771392 0.0967295i
\(876\) −0.815581 3.57330i −0.0275559 0.120730i
\(877\) 5.32651 + 23.3370i 0.179863 + 0.788033i 0.981691 + 0.190478i \(0.0610038\pi\)
−0.801828 + 0.597555i \(0.796139\pi\)
\(878\) −32.5424 15.6716i −1.09825 0.528891i
\(879\) −7.47393 + 9.37201i −0.252089 + 0.316110i
\(880\) −0.380839 0.477557i −0.0128381 0.0160984i
\(881\) −50.3949 24.2689i −1.69785 0.817641i −0.994255 0.107038i \(-0.965863\pi\)
−0.703593 0.710603i \(-0.748422\pi\)
\(882\) −20.0498 9.65549i −0.675113 0.325117i
\(883\) −25.7398 32.2767i −0.866213 1.08620i −0.995516 0.0945915i \(-0.969846\pi\)
0.129303 0.991605i \(-0.458726\pi\)
\(884\) −1.29933 + 1.62931i −0.0437013 + 0.0547997i
\(885\) −0.180051 0.0867079i −0.00605234 0.00291465i
\(886\) 0.633425 + 2.77522i 0.0212803 + 0.0932352i
\(887\) −6.40466 28.0607i −0.215048 0.942185i −0.961079 0.276274i \(-0.910900\pi\)
0.746031 0.665911i \(-0.231957\pi\)
\(888\) 17.6380 22.1174i 0.591894 0.742212i
\(889\) 28.1783 13.5699i 0.945069 0.455121i
\(890\) 2.61148 11.4416i 0.0875369 0.383524i
\(891\) −4.03242 + 1.94191i −0.135091 + 0.0650565i
\(892\) −5.16446 6.47603i −0.172919 0.216833i
\(893\) −4.39308 19.2474i −0.147009 0.644088i
\(894\) −27.7567 34.8057i −0.928321 1.16408i
\(895\) 1.10988 4.86270i 0.0370992 0.162542i
\(896\) 3.65974 0.122263
\(897\) 3.04990 0.101833
\(898\) 0.934111 4.09261i 0.0311717 0.136572i
\(899\) −28.4278 + 35.6474i −0.948121 + 1.18891i
\(900\) −3.13589 1.51017i −0.104530 0.0503389i
\(901\) −0.855809 + 0.412136i −0.0285111 + 0.0137302i
\(902\) −3.81709 −0.127095
\(903\) 60.9667 + 3.92469i 2.02885 + 0.130606i
\(904\) 10.6417 0.353938
\(905\) −15.7547 + 7.58704i −0.523702 + 0.252202i
\(906\) −20.7037 9.97040i −0.687836 0.331244i
\(907\) 20.2247 25.3610i 0.671550 0.842097i −0.322996 0.946400i \(-0.604690\pi\)
0.994546 + 0.104304i \(0.0332614\pi\)
\(908\) −0.697076 + 3.05409i −0.0231333 + 0.101354i
\(909\) 7.09018 0.235167
\(910\) −6.59462 −0.218609
\(911\) −6.69197 + 29.3195i −0.221715 + 0.971397i 0.734472 + 0.678639i \(0.237430\pi\)
−0.956187 + 0.292757i \(0.905427\pi\)
\(912\) 4.20034 + 5.26706i 0.139087 + 0.174410i
\(913\) 1.33628 + 5.85464i 0.0442245 + 0.193760i
\(914\) 9.90396 + 12.4192i 0.327594 + 0.410790i
\(915\) −26.1823 + 12.6087i −0.865560 + 0.416832i
\(916\) −0.628733 + 2.75466i −0.0207739 + 0.0910166i
\(917\) 20.4887 9.86682i 0.676595 0.325831i
\(918\) −0.882168 + 1.10620i −0.0291159 + 0.0365102i
\(919\) 6.71705 + 29.4293i 0.221575 + 0.970783i 0.956293 + 0.292411i \(0.0944574\pi\)
−0.734718 + 0.678373i \(0.762685\pi\)
\(920\) −0.147948 0.648205i −0.00487772 0.0213707i
\(921\) −19.6178 9.44744i −0.646429 0.311304i
\(922\) −9.07610 + 11.3811i −0.298905 + 0.374816i
\(923\) −13.2318 16.5921i −0.435530 0.546137i
\(924\) −5.12718 2.46912i −0.168672 0.0812280i
\(925\) 10.0121 + 4.82156i 0.329195 + 0.158532i
\(926\) −7.70742 9.66480i −0.253281 0.317605i
\(927\) −8.56401 + 10.7389i −0.281279 + 0.352713i
\(928\) −5.23468 2.52089i −0.171837 0.0827522i
\(929\) 9.68892 + 42.4499i 0.317883 + 1.39274i 0.841258 + 0.540634i \(0.181816\pi\)
−0.523375 + 0.852103i \(0.675327\pi\)
\(930\) −4.44541 19.4766i −0.145771 0.638663i
\(931\) −10.5494 + 13.2285i −0.345742 + 0.433547i
\(932\) 0.0512451 0.0246783i 0.00167859 0.000808365i
\(933\) 8.43032 36.9357i 0.275996 1.20922i
\(934\) −20.1194 + 9.68898i −0.658326 + 0.317033i
\(935\) −0.440446 0.552302i −0.0144041 0.0180622i
\(936\) 1.39560 + 6.11454i 0.0456167 + 0.199860i
\(937\) 10.3672 + 13.0001i 0.338683 + 0.424695i 0.921783 0.387705i \(-0.126732\pi\)
−0.583101 + 0.812400i \(0.698161\pi\)
\(938\) 2.42066 10.6056i 0.0790373 0.346285i
\(939\) −5.36755 −0.175164
\(940\) −7.46020 −0.243325
\(941\) −0.628011 + 2.75150i −0.0204726 + 0.0896962i −0.984132 0.177437i \(-0.943219\pi\)
0.963660 + 0.267133i \(0.0860765\pi\)
\(942\) 7.26980 9.11603i 0.236863 0.297016i
\(943\) −3.74343 1.80274i −0.121903 0.0587053i
\(944\) 0.0707274 0.0340605i 0.00230198 0.00110858i
\(945\) −4.47734 −0.145648
\(946\) 3.99713 + 0.257313i 0.129958 + 0.00836595i
\(947\) 26.7168 0.868181 0.434090 0.900869i \(-0.357070\pi\)
0.434090 + 0.900869i \(0.357070\pi\)
\(948\) −28.0216 + 13.4945i −0.910100 + 0.438281i
\(949\) −2.33743 1.12565i −0.0758763 0.0365401i
\(950\) −1.64997 + 2.06900i −0.0535322 + 0.0671273i
\(951\) 15.5817 68.2678i 0.505271 2.21374i
\(952\) 4.23254 0.137177
\(953\) −2.14704 −0.0695494 −0.0347747 0.999395i \(-0.511071\pi\)
−0.0347747 + 0.999395i \(0.511071\pi\)
\(954\) −0.636118 + 2.78702i −0.0205951 + 0.0902330i
\(955\) −13.6850 17.1604i −0.442835 0.555298i
\(956\) 4.56739 + 20.0110i 0.147720 + 0.647203i
\(957\) 5.63285 + 7.06337i 0.182084 + 0.228326i
\(958\) −25.9217 + 12.4832i −0.837491 + 0.403314i
\(959\) 16.7789 73.5133i 0.541820 2.37387i
\(960\) 2.29359 1.10454i 0.0740254 0.0356488i
\(961\) 19.0688 23.9116i 0.615124 0.771341i
\(962\) −4.45579 19.5221i −0.143660 0.629418i
\(963\) −7.21787 31.6235i −0.232592 1.01905i
\(964\) 8.56393 + 4.12417i 0.275826 + 0.132831i
\(965\) −5.13060 + 6.43356i −0.165160 + 0.207104i
\(966\) −3.86212 4.84294i −0.124262 0.155819i
\(967\) −52.5654 25.3142i −1.69039 0.814049i −0.995482 0.0949493i \(-0.969731\pi\)
−0.694907 0.719099i \(-0.744555\pi\)
\(968\) 9.57451 + 4.61084i 0.307736 + 0.148198i
\(969\) 4.85776 + 6.09143i 0.156054 + 0.195685i
\(970\) −6.72461 + 8.43239i −0.215914 + 0.270748i
\(971\) −12.3424 5.94380i −0.396087 0.190746i 0.225228 0.974306i \(-0.427687\pi\)
−0.621316 + 0.783560i \(0.713402\pi\)
\(972\) −4.96741 21.7636i −0.159330 0.698069i
\(973\) −14.6269 64.0847i −0.468917 2.05446i
\(974\) 14.3068 17.9401i 0.458419 0.574839i
\(975\) −4.13291 + 1.99031i −0.132359 + 0.0637408i
\(976\) 2.54017 11.1292i 0.0813087 0.356237i
\(977\) −13.8056 + 6.64844i −0.441681 + 0.212703i −0.641488 0.767133i \(-0.721683\pi\)
0.199807 + 0.979835i \(0.435968\pi\)
\(978\) 7.52242 + 9.43282i 0.240541 + 0.301628i
\(979\) −1.59514 6.98876i −0.0509808 0.223362i
\(980\) 3.98638 + 4.99877i 0.127340 + 0.159680i
\(981\) 7.84277 34.3614i 0.250400 1.09708i
\(982\) 23.7135 0.756727
\(983\) −5.76355 −0.183829 −0.0919144 0.995767i \(-0.529299\pi\)
−0.0919144 + 0.995767i \(0.529299\pi\)
\(984\) 3.53996 15.5096i 0.112850 0.494427i
\(985\) −11.1794 + 14.0185i −0.356205 + 0.446667i
\(986\) −6.05399 2.91545i −0.192798 0.0928468i
\(987\) −62.6206 + 30.1565i −1.99323 + 0.959891i
\(988\) 4.76856 0.151708
\(989\) 3.79847 + 2.14012i 0.120784 + 0.0680518i
\(990\) −2.12600 −0.0675687
\(991\) −3.99466 + 1.92373i −0.126895 + 0.0611092i −0.496254 0.868177i \(-0.665291\pi\)
0.369359 + 0.929287i \(0.379577\pi\)
\(992\) 7.07040 + 3.40492i 0.224485 + 0.108106i
\(993\) −3.52896 + 4.42517i −0.111988 + 0.140429i
\(994\) −9.59114 + 42.0215i −0.304212 + 1.33284i
\(995\) −11.0978 −0.351823
\(996\) −25.0278 −0.793036
\(997\) 8.13446 35.6394i 0.257621 1.12871i −0.666166 0.745804i \(-0.732066\pi\)
0.923787 0.382907i \(-0.125077\pi\)
\(998\) −1.06335 1.33340i −0.0336599 0.0422082i
\(999\) −3.02521 13.2543i −0.0957134 0.419348i
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 430.2.k.a.41.2 yes 12
43.21 even 7 inner 430.2.k.a.21.2 12
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
430.2.k.a.21.2 12 43.21 even 7 inner
430.2.k.a.41.2 yes 12 1.1 even 1 trivial