Properties

Label 637.2.bl.b.625.15
Level $637$
Weight $2$
Character 637.625
Analytic conductor $5.086$
Analytic rank $0$
Dimension $348$
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] = [637,2,Mod(53,637)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(637, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([10, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("637.53");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.bl (of order \(21\), degree \(12\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(348\)
Relative dimension: \(29\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 625.15
Character \(\chi\) \(=\) 637.625
Dual form 637.2.bl.b.53.15

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.168293 - 0.114740i) q^{2} +(2.17291 - 2.01616i) q^{3} +(-0.715525 + 1.82313i) q^{4} +(0.954892 + 0.294545i) q^{5} +(0.134350 - 0.588628i) q^{6} +(-0.383890 - 2.61775i) q^{7} +(0.179417 + 0.786079i) q^{8} +(0.432422 - 5.77027i) q^{9} +O(q^{10})\) \(q+(0.168293 - 0.114740i) q^{2} +(2.17291 - 2.01616i) q^{3} +(-0.715525 + 1.82313i) q^{4} +(0.954892 + 0.294545i) q^{5} +(0.134350 - 0.588628i) q^{6} +(-0.383890 - 2.61775i) q^{7} +(0.179417 + 0.786079i) q^{8} +(0.432422 - 5.77027i) q^{9} +(0.194498 - 0.0599948i) q^{10} +(-0.109333 - 1.45895i) q^{11} +(2.12096 + 5.40411i) q^{12} +(-0.900969 - 0.433884i) q^{13} +(-0.364968 - 0.396503i) q^{14} +(2.66874 - 1.28520i) q^{15} +(-2.75099 - 2.55255i) q^{16} +(4.78751 + 0.721601i) q^{17} +(-0.589310 - 1.02072i) q^{18} +(0.372531 - 0.645243i) q^{19} +(-1.22024 + 1.53014i) q^{20} +(-6.11198 - 4.91415i) q^{21} +(-0.185801 - 0.232987i) q^{22} +(4.24105 - 0.639235i) q^{23} +(1.97472 + 1.34634i) q^{24} +(-3.30613 - 2.25408i) q^{25} +(-0.201411 + 0.0303578i) q^{26} +(-5.14977 - 6.45761i) q^{27} +(5.04718 + 1.17319i) q^{28} +(1.92439 - 2.41311i) q^{29} +(0.301668 - 0.522504i) q^{30} +(3.10680 + 5.38113i) q^{31} +(-2.35043 - 0.354270i) q^{32} +(-3.17906 - 2.94973i) q^{33} +(0.888504 - 0.427881i) q^{34} +(0.404473 - 2.61274i) q^{35} +(10.2105 + 4.91713i) q^{36} +(2.27071 + 5.78568i) q^{37} +(-0.0113409 - 0.151334i) q^{38} +(-2.83250 + 0.873712i) q^{39} +(-0.0602115 + 0.803467i) q^{40} +(1.39472 + 6.11066i) q^{41} +(-1.59246 - 0.125728i) q^{42} +(-0.925520 + 4.05497i) q^{43} +(2.73808 + 0.844587i) q^{44} +(2.11252 - 5.38262i) q^{45} +(0.640394 - 0.594199i) q^{46} +(-1.59745 + 1.08913i) q^{47} -11.1240 q^{48} +(-6.70526 + 2.00986i) q^{49} -0.815035 q^{50} +(11.8577 - 8.08444i) q^{51} +(1.43569 - 1.33213i) q^{52} +(-1.35157 + 3.44375i) q^{53} +(-1.60762 - 0.495886i) q^{54} +(0.325326 - 1.42534i) q^{55} +(1.98888 - 0.771438i) q^{56} +(-0.491440 - 2.15314i) q^{57} +(0.0469809 - 0.626917i) q^{58} +(-4.50835 + 1.39064i) q^{59} +(0.433530 + 5.78505i) q^{60} +(-1.97287 - 5.02679i) q^{61} +(1.14029 + 0.549133i) q^{62} +(-15.2712 + 1.08317i) q^{63} +(6.32609 - 3.04648i) q^{64} +(-0.732530 - 0.679688i) q^{65} +(-0.873468 - 0.131654i) q^{66} +(6.31976 + 10.9461i) q^{67} +(-4.74115 + 8.21192i) q^{68} +(7.92661 - 9.93965i) q^{69} +(-0.231717 - 0.486117i) q^{70} +(-6.88071 - 8.62814i) q^{71} +(4.61347 - 0.695369i) q^{72} +(-12.5906 - 8.58410i) q^{73} +(1.04600 + 0.713149i) q^{74} +(-11.7285 + 1.76779i) q^{75} +(0.909804 + 1.14086i) q^{76} +(-3.77720 + 0.846284i) q^{77} +(-0.376442 + 0.472043i) q^{78} +(-1.38801 + 2.40410i) q^{79} +(-1.87506 - 3.24770i) q^{80} +(-7.04412 - 1.06173i) q^{81} +(0.935861 + 0.868352i) q^{82} +(-13.0617 + 6.29017i) q^{83} +(13.3324 - 7.62672i) q^{84} +(4.35901 + 2.09919i) q^{85} +(0.309510 + 0.788619i) q^{86} +(-0.683702 - 9.12337i) q^{87} +(1.12723 - 0.347706i) q^{88} +(-0.106369 + 1.41940i) q^{89} +(-0.262081 - 1.14825i) q^{90} +(-0.789928 + 2.52508i) q^{91} +(-1.86917 + 8.18936i) q^{92} +(17.6000 + 5.42889i) q^{93} +(-0.143874 + 0.366586i) q^{94} +(0.545780 - 0.506410i) q^{95} +(-5.82154 + 3.96906i) q^{96} -3.09213 q^{97} +(-0.897839 + 1.10761i) q^{98} -8.46583 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 348 q + 3 q^{2} + 31 q^{4} + q^{5} - 4 q^{6} + 27 q^{7} - 12 q^{8} + 13 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 348 q + 3 q^{2} + 31 q^{4} + q^{5} - 4 q^{6} + 27 q^{7} - 12 q^{8} + 13 q^{9} - 5 q^{10} + 2 q^{11} - 40 q^{12} - 58 q^{13} - 45 q^{14} - 14 q^{15} + 27 q^{16} - 12 q^{17} - 59 q^{18} - 24 q^{19} - 99 q^{20} - 2 q^{21} - 10 q^{22} - 14 q^{23} + 28 q^{25} + 3 q^{26} - 9 q^{27} - 37 q^{28} - 26 q^{29} - 83 q^{30} - 49 q^{31} + 33 q^{32} + 2 q^{33} - 130 q^{34} - 38 q^{35} - 74 q^{36} - 4 q^{37} + 92 q^{38} + 24 q^{40} + 20 q^{41} - 52 q^{42} + 2 q^{43} + 226 q^{44} - 23 q^{45} + 71 q^{46} + 24 q^{47} + 86 q^{48} + 25 q^{49} + 114 q^{50} - 54 q^{51} + 31 q^{52} + 36 q^{53} + 75 q^{54} + 38 q^{55} + 126 q^{56} + 27 q^{57} - 33 q^{58} + q^{59} - 179 q^{60} - 15 q^{61} + 158 q^{62} - 5 q^{63} - 24 q^{64} + q^{65} - 150 q^{66} - 151 q^{67} + 140 q^{68} - 98 q^{69} - 126 q^{70} - 31 q^{71} - 149 q^{72} - 9 q^{73} + 39 q^{74} + 85 q^{75} - 81 q^{76} + 46 q^{77} - 25 q^{78} - 69 q^{79} - 64 q^{80} + 71 q^{81} - 52 q^{82} - q^{83} - 47 q^{84} + 62 q^{85} + 97 q^{86} + 150 q^{87} - 12 q^{88} + 23 q^{89} + 107 q^{90} - q^{91} - 43 q^{92} + 316 q^{93} - 86 q^{94} - 29 q^{95} + 177 q^{96} + 114 q^{97} - 336 q^{98} + 102 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{16}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.168293 0.114740i 0.119001 0.0811338i −0.502357 0.864660i \(-0.667534\pi\)
0.621358 + 0.783527i \(0.286581\pi\)
\(3\) 2.17291 2.01616i 1.25453 1.16403i 0.275282 0.961363i \(-0.411229\pi\)
0.979247 0.202670i \(-0.0649618\pi\)
\(4\) −0.715525 + 1.82313i −0.357762 + 0.911564i
\(5\) 0.954892 + 0.294545i 0.427041 + 0.131725i 0.500823 0.865550i \(-0.333031\pi\)
−0.0737822 + 0.997274i \(0.523507\pi\)
\(6\) 0.134350 0.588628i 0.0548483 0.240306i
\(7\) −0.383890 2.61775i −0.145097 0.989417i
\(8\) 0.179417 + 0.786079i 0.0634336 + 0.277921i
\(9\) 0.432422 5.77027i 0.144141 1.92342i
\(10\) 0.194498 0.0599948i 0.0615058 0.0189720i
\(11\) −0.109333 1.45895i −0.0329652 0.439890i −0.989128 0.147055i \(-0.953020\pi\)
0.956163 0.292835i \(-0.0945986\pi\)
\(12\) 2.12096 + 5.40411i 0.612267 + 1.56003i
\(13\) −0.900969 0.433884i −0.249884 0.120338i
\(14\) −0.364968 0.396503i −0.0975419 0.105970i
\(15\) 2.66874 1.28520i 0.689067 0.331837i
\(16\) −2.75099 2.55255i −0.687748 0.638137i
\(17\) 4.78751 + 0.721601i 1.16114 + 0.175014i 0.701220 0.712945i \(-0.252639\pi\)
0.459922 + 0.887959i \(0.347877\pi\)
\(18\) −0.589310 1.02072i −0.138902 0.240585i
\(19\) 0.372531 0.645243i 0.0854645 0.148029i −0.820125 0.572185i \(-0.806096\pi\)
0.905589 + 0.424156i \(0.139429\pi\)
\(20\) −1.22024 + 1.53014i −0.272854 + 0.342149i
\(21\) −6.11198 4.91415i −1.33374 1.07236i
\(22\) −0.185801 0.232987i −0.0396129 0.0496730i
\(23\) 4.24105 0.639235i 0.884320 0.133290i 0.308848 0.951111i \(-0.400057\pi\)
0.575472 + 0.817822i \(0.304818\pi\)
\(24\) 1.97472 + 1.34634i 0.403088 + 0.274821i
\(25\) −3.30613 2.25408i −0.661226 0.450817i
\(26\) −0.201411 + 0.0303578i −0.0395000 + 0.00595366i
\(27\) −5.14977 6.45761i −0.991074 1.24277i
\(28\) 5.04718 + 1.17319i 0.953827 + 0.221711i
\(29\) 1.92439 2.41311i 0.357351 0.448104i −0.570365 0.821391i \(-0.693198\pi\)
0.927716 + 0.373288i \(0.121770\pi\)
\(30\) 0.301668 0.522504i 0.0550767 0.0953957i
\(31\) 3.10680 + 5.38113i 0.557997 + 0.966480i 0.997664 + 0.0683184i \(0.0217634\pi\)
−0.439666 + 0.898161i \(0.644903\pi\)
\(32\) −2.35043 0.354270i −0.415501 0.0626268i
\(33\) −3.17906 2.94973i −0.553403 0.513483i
\(34\) 0.888504 0.427881i 0.152377 0.0733809i
\(35\) 0.404473 2.61274i 0.0683684 0.441634i
\(36\) 10.2105 + 4.91713i 1.70176 + 0.819522i
\(37\) 2.27071 + 5.78568i 0.373303 + 0.951159i 0.986870 + 0.161517i \(0.0516387\pi\)
−0.613567 + 0.789642i \(0.710266\pi\)
\(38\) −0.0113409 0.151334i −0.00183974 0.0245497i
\(39\) −2.83250 + 0.873712i −0.453564 + 0.139906i
\(40\) −0.0602115 + 0.803467i −0.00952027 + 0.127039i
\(41\) 1.39472 + 6.11066i 0.217818 + 0.954324i 0.959086 + 0.283115i \(0.0913677\pi\)
−0.741268 + 0.671209i \(0.765775\pi\)
\(42\) −1.59246 0.125728i −0.245722 0.0194003i
\(43\) −0.925520 + 4.05497i −0.141141 + 0.618377i 0.854031 + 0.520223i \(0.174151\pi\)
−0.995171 + 0.0981544i \(0.968706\pi\)
\(44\) 2.73808 + 0.844587i 0.412782 + 0.127326i
\(45\) 2.11252 5.38262i 0.314916 0.802394i
\(46\) 0.640394 0.594199i 0.0944210 0.0876099i
\(47\) −1.59745 + 1.08913i −0.233013 + 0.158865i −0.674198 0.738551i \(-0.735511\pi\)
0.441185 + 0.897416i \(0.354558\pi\)
\(48\) −11.1240 −1.60561
\(49\) −6.70526 + 2.00986i −0.957894 + 0.287122i
\(50\) −0.815035 −0.115263
\(51\) 11.8577 8.08444i 1.66041 1.13205i
\(52\) 1.43569 1.33213i 0.199094 0.184733i
\(53\) −1.35157 + 3.44375i −0.185653 + 0.473036i −0.993152 0.116834i \(-0.962726\pi\)
0.807499 + 0.589870i \(0.200821\pi\)
\(54\) −1.60762 0.495886i −0.218770 0.0674815i
\(55\) 0.325326 1.42534i 0.0438669 0.192193i
\(56\) 1.98888 0.771438i 0.265776 0.103088i
\(57\) −0.491440 2.15314i −0.0650928 0.285190i
\(58\) 0.0469809 0.626917i 0.00616890 0.0823182i
\(59\) −4.50835 + 1.39064i −0.586937 + 0.181046i −0.573979 0.818870i \(-0.694601\pi\)
−0.0129580 + 0.999916i \(0.504125\pi\)
\(60\) 0.433530 + 5.78505i 0.0559685 + 0.746847i
\(61\) −1.97287 5.02679i −0.252600 0.643615i 0.747179 0.664623i \(-0.231408\pi\)
−0.999779 + 0.0210079i \(0.993312\pi\)
\(62\) 1.14029 + 0.549133i 0.144817 + 0.0697400i
\(63\) −15.2712 + 1.08317i −1.92398 + 0.136467i
\(64\) 6.32609 3.04648i 0.790761 0.380810i
\(65\) −0.732530 0.679688i −0.0908591 0.0843049i
\(66\) −0.873468 0.131654i −0.107517 0.0162055i
\(67\) 6.31976 + 10.9461i 0.772082 + 1.33728i 0.936420 + 0.350881i \(0.114118\pi\)
−0.164338 + 0.986404i \(0.552549\pi\)
\(68\) −4.74115 + 8.21192i −0.574949 + 0.995842i
\(69\) 7.92661 9.93965i 0.954251 1.19659i
\(70\) −0.231717 0.486117i −0.0276955 0.0581021i
\(71\) −6.88071 8.62814i −0.816590 1.02397i −0.999168 0.0407800i \(-0.987016\pi\)
0.182578 0.983191i \(-0.441556\pi\)
\(72\) 4.61347 0.695369i 0.543703 0.0819500i
\(73\) −12.5906 8.58410i −1.47361 1.00469i −0.991714 0.128467i \(-0.958994\pi\)
−0.481900 0.876226i \(-0.660053\pi\)
\(74\) 1.04600 + 0.713149i 0.121595 + 0.0829018i
\(75\) −11.7285 + 1.76779i −1.35429 + 0.204127i
\(76\) 0.909804 + 1.14086i 0.104362 + 0.130865i
\(77\) −3.77720 + 0.846284i −0.430452 + 0.0964430i
\(78\) −0.376442 + 0.472043i −0.0426236 + 0.0534483i
\(79\) −1.38801 + 2.40410i −0.156163 + 0.270482i −0.933482 0.358625i \(-0.883246\pi\)
0.777319 + 0.629107i \(0.216579\pi\)
\(80\) −1.87506 3.24770i −0.209638 0.363104i
\(81\) −7.04412 1.06173i −0.782680 0.117970i
\(82\) 0.935861 + 0.868352i 0.103349 + 0.0958935i
\(83\) −13.0617 + 6.29017i −1.43371 + 0.690436i −0.979683 0.200553i \(-0.935726\pi\)
−0.454023 + 0.890990i \(0.650012\pi\)
\(84\) 13.3324 7.62672i 1.45468 0.832143i
\(85\) 4.35901 + 2.09919i 0.472801 + 0.227689i
\(86\) 0.309510 + 0.788619i 0.0333753 + 0.0850390i
\(87\) −0.683702 9.12337i −0.0733005 0.978128i
\(88\) 1.12723 0.347706i 0.120164 0.0370655i
\(89\) −0.106369 + 1.41940i −0.0112751 + 0.150456i 0.988725 + 0.149745i \(0.0478454\pi\)
−1.00000 0.000710978i \(0.999774\pi\)
\(90\) −0.262081 1.14825i −0.0276257 0.121036i
\(91\) −0.789928 + 2.52508i −0.0828069 + 0.264700i
\(92\) −1.86917 + 8.18936i −0.194874 + 0.853800i
\(93\) 17.6000 + 5.42889i 1.82504 + 0.562950i
\(94\) −0.143874 + 0.366586i −0.0148395 + 0.0378104i
\(95\) 0.545780 0.506410i 0.0559958 0.0519565i
\(96\) −5.82154 + 3.96906i −0.594158 + 0.405090i
\(97\) −3.09213 −0.313958 −0.156979 0.987602i \(-0.550176\pi\)
−0.156979 + 0.987602i \(0.550176\pi\)
\(98\) −0.897839 + 1.10761i −0.0906954 + 0.111886i
\(99\) −8.46583 −0.850847
\(100\) 6.47510 4.41465i 0.647510 0.441465i
\(101\) −0.510035 + 0.473243i −0.0507504 + 0.0470895i −0.705140 0.709068i \(-0.749116\pi\)
0.654390 + 0.756157i \(0.272926\pi\)
\(102\) 1.06796 2.72112i 0.105744 0.269431i
\(103\) 16.4484 + 5.07367i 1.62071 + 0.499924i 0.966560 0.256439i \(-0.0825492\pi\)
0.654153 + 0.756363i \(0.273025\pi\)
\(104\) 0.179417 0.786079i 0.0175933 0.0770813i
\(105\) −4.38884 6.49274i −0.428307 0.633626i
\(106\) 0.167677 + 0.734641i 0.0162862 + 0.0713547i
\(107\) −1.11214 + 14.8405i −0.107515 + 1.43469i 0.638942 + 0.769255i \(0.279372\pi\)
−0.746457 + 0.665433i \(0.768247\pi\)
\(108\) 15.4578 4.76811i 1.48743 0.458812i
\(109\) −0.0902910 1.20485i −0.00864831 0.115404i 0.991209 0.132307i \(-0.0422384\pi\)
−0.999857 + 0.0169031i \(0.994619\pi\)
\(110\) −0.108795 0.277204i −0.0103732 0.0264304i
\(111\) 16.5989 + 7.99362i 1.57550 + 0.758721i
\(112\) −5.62586 + 8.18131i −0.531594 + 0.773061i
\(113\) −3.60697 + 1.73702i −0.339315 + 0.163406i −0.595779 0.803148i \(-0.703157\pi\)
0.256464 + 0.966554i \(0.417442\pi\)
\(114\) −0.329758 0.305971i −0.0308847 0.0286568i
\(115\) 4.23803 + 0.638780i 0.395198 + 0.0595665i
\(116\) 3.02246 + 5.23506i 0.280628 + 0.486063i
\(117\) −2.89323 + 5.01122i −0.267479 + 0.463287i
\(118\) −0.599163 + 0.751326i −0.0551574 + 0.0691652i
\(119\) 0.0510970 12.8095i 0.00468405 1.17425i
\(120\) 1.48909 + 1.86726i 0.135934 + 0.170456i
\(121\) 8.76055 1.32044i 0.796414 0.120040i
\(122\) −0.908798 0.619608i −0.0822787 0.0560967i
\(123\) 15.3507 + 10.4659i 1.38412 + 0.943680i
\(124\) −12.0335 + 1.81375i −1.08064 + 0.162880i
\(125\) −5.60830 7.03258i −0.501621 0.629013i
\(126\) −2.44575 + 1.93451i −0.217885 + 0.172340i
\(127\) 9.90271 12.4176i 0.878724 1.10188i −0.115366 0.993323i \(-0.536804\pi\)
0.994090 0.108562i \(-0.0346245\pi\)
\(128\) 3.09206 5.35561i 0.273302 0.473374i
\(129\) 6.16442 + 10.6771i 0.542747 + 0.940065i
\(130\) −0.201268 0.0303362i −0.0176523 0.00266066i
\(131\) 5.89841 + 5.47292i 0.515346 + 0.478171i 0.894441 0.447187i \(-0.147574\pi\)
−0.379094 + 0.925358i \(0.623764\pi\)
\(132\) 7.65243 3.68522i 0.666059 0.320757i
\(133\) −1.83210 0.727492i −0.158863 0.0630816i
\(134\) 2.31954 + 1.11703i 0.200378 + 0.0964969i
\(135\) −3.01542 7.68316i −0.259526 0.661261i
\(136\) 0.291727 + 3.89283i 0.0250154 + 0.333807i
\(137\) −6.61164 + 2.03942i −0.564870 + 0.174239i −0.564021 0.825760i \(-0.690746\pi\)
−0.000849082 1.00000i \(0.500270\pi\)
\(138\) 0.193515 2.58228i 0.0164731 0.219818i
\(139\) 1.63890 + 7.18048i 0.139009 + 0.609040i 0.995654 + 0.0931327i \(0.0296881\pi\)
−0.856644 + 0.515908i \(0.827455\pi\)
\(140\) 4.47395 + 2.60689i 0.378118 + 0.220322i
\(141\) −1.27527 + 5.58730i −0.107397 + 0.470536i
\(142\) −2.14797 0.662562i −0.180254 0.0556010i
\(143\) −0.534509 + 1.36191i −0.0446979 + 0.113888i
\(144\) −15.9185 + 14.7702i −1.32654 + 1.23085i
\(145\) 2.54836 1.73744i 0.211630 0.144287i
\(146\) −3.10385 −0.256877
\(147\) −10.5177 + 17.8861i −0.867486 + 1.47522i
\(148\) −12.1728 −1.00060
\(149\) 1.26562 0.862887i 0.103684 0.0706905i −0.510368 0.859956i \(-0.670491\pi\)
0.614052 + 0.789266i \(0.289538\pi\)
\(150\) −1.77100 + 1.64324i −0.144601 + 0.134170i
\(151\) −4.50316 + 11.4739i −0.366462 + 0.933729i 0.622103 + 0.782935i \(0.286278\pi\)
−0.988565 + 0.150794i \(0.951817\pi\)
\(152\) 0.574050 + 0.177071i 0.0465616 + 0.0143623i
\(153\) 6.23406 27.3132i 0.503994 2.20814i
\(154\) −0.538575 + 0.575822i −0.0433996 + 0.0464010i
\(155\) 1.38167 + 6.05349i 0.110978 + 0.486228i
\(156\) 0.433839 5.78918i 0.0347349 0.463505i
\(157\) −0.499128 + 0.153961i −0.0398348 + 0.0122874i −0.314609 0.949222i \(-0.601873\pi\)
0.274774 + 0.961509i \(0.411397\pi\)
\(158\) 0.0422550 + 0.563854i 0.00336163 + 0.0448578i
\(159\) 4.00633 + 10.2080i 0.317723 + 0.809544i
\(160\) −2.14006 1.03060i −0.169187 0.0814759i
\(161\) −3.30145 10.8566i −0.260191 0.855621i
\(162\) −1.30730 + 0.629564i −0.102711 + 0.0494632i
\(163\) 1.31611 + 1.22117i 0.103086 + 0.0956495i 0.730032 0.683413i \(-0.239505\pi\)
−0.626947 + 0.779062i \(0.715696\pi\)
\(164\) −12.1385 1.82958i −0.947854 0.142866i
\(165\) −2.16683 3.75305i −0.168687 0.292175i
\(166\) −1.47646 + 2.55730i −0.114595 + 0.198485i
\(167\) 3.55675 4.46003i 0.275230 0.345127i −0.624935 0.780677i \(-0.714875\pi\)
0.900165 + 0.435550i \(0.143446\pi\)
\(168\) 2.76632 5.68618i 0.213426 0.438698i
\(169\) 0.623490 + 0.781831i 0.0479608 + 0.0601409i
\(170\) 0.974455 0.146875i 0.0747373 0.0112648i
\(171\) −3.56214 2.42862i −0.272403 0.185721i
\(172\) −6.73049 4.58877i −0.513195 0.349891i
\(173\) 12.4241 1.87263i 0.944585 0.142373i 0.341350 0.939936i \(-0.389116\pi\)
0.603236 + 0.797563i \(0.293878\pi\)
\(174\) −1.16188 1.45695i −0.0880821 0.110451i
\(175\) −4.63144 + 9.51995i −0.350104 + 0.719641i
\(176\) −3.42327 + 4.29264i −0.258038 + 0.323570i
\(177\) −6.99247 + 12.1113i −0.525586 + 0.910342i
\(178\) 0.144962 + 0.251081i 0.0108653 + 0.0188193i
\(179\) −17.3591 2.61646i −1.29748 0.195563i −0.536257 0.844055i \(-0.680162\pi\)
−0.761222 + 0.648492i \(0.775400\pi\)
\(180\) 8.30164 + 7.70280i 0.618768 + 0.574133i
\(181\) 6.29628 3.03213i 0.467999 0.225376i −0.184995 0.982739i \(-0.559227\pi\)
0.652994 + 0.757363i \(0.273513\pi\)
\(182\) 0.156789 + 0.515590i 0.0116220 + 0.0382181i
\(183\) −14.4217 6.94513i −1.06608 0.513399i
\(184\) 1.26341 + 3.21911i 0.0931396 + 0.237316i
\(185\) 0.464140 + 6.19352i 0.0341243 + 0.455357i
\(186\) 3.58488 1.10579i 0.262856 0.0810804i
\(187\) 0.529347 7.06364i 0.0387097 0.516545i
\(188\) −0.842597 3.69166i −0.0614527 0.269242i
\(189\) −14.9275 + 15.9598i −1.08581 + 1.16091i
\(190\) 0.0337454 0.147848i 0.00244815 0.0107261i
\(191\) 24.5836 + 7.58304i 1.77881 + 0.548689i 0.997179 0.0750563i \(-0.0239137\pi\)
0.781627 + 0.623746i \(0.214390\pi\)
\(192\) 7.60380 19.3742i 0.548757 1.39821i
\(193\) −6.13370 + 5.69124i −0.441514 + 0.409665i −0.869354 0.494189i \(-0.835465\pi\)
0.427841 + 0.903854i \(0.359274\pi\)
\(194\) −0.520385 + 0.354792i −0.0373614 + 0.0254726i
\(195\) −2.96208 −0.212119
\(196\) 1.13355 13.6626i 0.0809681 0.975903i
\(197\) −13.0826 −0.932094 −0.466047 0.884760i \(-0.654322\pi\)
−0.466047 + 0.884760i \(0.654322\pi\)
\(198\) −1.42474 + 0.971373i −0.101252 + 0.0690325i
\(199\) −11.3863 + 10.5650i −0.807156 + 0.748932i −0.971390 0.237490i \(-0.923675\pi\)
0.164234 + 0.986421i \(0.447485\pi\)
\(200\) 1.17871 3.00330i 0.0833473 0.212365i
\(201\) 35.8015 + 11.0433i 2.52524 + 0.778935i
\(202\) −0.0315354 + 0.138165i −0.00221882 + 0.00972128i
\(203\) −7.05569 4.11122i −0.495212 0.288551i
\(204\) 6.25449 + 27.4027i 0.437902 + 1.91857i
\(205\) −0.468060 + 6.24582i −0.0326907 + 0.436227i
\(206\) 3.35032 1.03344i 0.233428 0.0720029i
\(207\) −1.85464 24.7484i −0.128906 1.72013i
\(208\) 1.37105 + 3.49338i 0.0950652 + 0.242222i
\(209\) −0.982107 0.472958i −0.0679338 0.0327152i
\(210\) −1.48359 0.589108i −0.102378 0.0406523i
\(211\) 17.4677 8.41199i 1.20252 0.579105i 0.278130 0.960543i \(-0.410285\pi\)
0.924394 + 0.381438i \(0.124571\pi\)
\(212\) −5.31132 4.92818i −0.364783 0.338469i
\(213\) −32.3469 4.87551i −2.21637 0.334064i
\(214\) 1.51564 + 2.62517i 0.103607 + 0.179453i
\(215\) −2.07814 + 3.59945i −0.141728 + 0.245481i
\(216\) 4.15223 5.20673i 0.282524 0.354273i
\(217\) 12.8938 10.1986i 0.875288 0.692325i
\(218\) −0.153440 0.192408i −0.0103923 0.0130315i
\(219\) −44.6651 + 6.73218i −3.01819 + 0.454919i
\(220\) 2.36581 + 1.61298i 0.159503 + 0.108747i
\(221\) −4.00031 2.72736i −0.269090 0.183462i
\(222\) 3.71068 0.559295i 0.249045 0.0375374i
\(223\) 4.14318 + 5.19538i 0.277448 + 0.347909i 0.900958 0.433907i \(-0.142865\pi\)
−0.623510 + 0.781815i \(0.714294\pi\)
\(224\) −0.0250861 + 6.28885i −0.00167613 + 0.420191i
\(225\) −14.4363 + 18.1026i −0.962421 + 1.20684i
\(226\) −0.407722 + 0.706195i −0.0271213 + 0.0469754i
\(227\) −0.0882917 0.152926i −0.00586013 0.0101500i 0.863080 0.505066i \(-0.168532\pi\)
−0.868941 + 0.494916i \(0.835199\pi\)
\(228\) 4.27708 + 0.644666i 0.283257 + 0.0426941i
\(229\) 3.63725 + 3.37488i 0.240357 + 0.223018i 0.791148 0.611624i \(-0.209484\pi\)
−0.550792 + 0.834643i \(0.685674\pi\)
\(230\) 0.786526 0.378771i 0.0518620 0.0249754i
\(231\) −6.50127 + 9.45436i −0.427752 + 0.622051i
\(232\) 2.24217 + 1.07977i 0.147205 + 0.0708904i
\(233\) −5.61694 14.3117i −0.367978 0.937592i −0.988200 0.153166i \(-0.951053\pi\)
0.620223 0.784426i \(-0.287042\pi\)
\(234\) 0.0880784 + 1.17532i 0.00575787 + 0.0768334i
\(235\) −1.84619 + 0.569475i −0.120432 + 0.0371485i
\(236\) 0.690519 9.21433i 0.0449490 0.599802i
\(237\) 1.83104 + 8.02233i 0.118939 + 0.521106i
\(238\) −1.46117 2.16162i −0.0947138 0.140117i
\(239\) −5.98366 + 26.2161i −0.387051 + 1.69578i 0.287689 + 0.957724i \(0.407113\pi\)
−0.674740 + 0.738056i \(0.735744\pi\)
\(240\) −10.6222 3.27652i −0.685662 0.211499i
\(241\) 11.0457 28.1440i 0.711516 1.81291i 0.143953 0.989585i \(-0.454019\pi\)
0.567564 0.823330i \(-0.307886\pi\)
\(242\) 1.32284 1.22741i 0.0850351 0.0789010i
\(243\) 3.02633 2.06332i 0.194139 0.132362i
\(244\) 10.5761 0.677067
\(245\) −6.99479 0.0558050i −0.446881 0.00356525i
\(246\) 3.78428 0.241277
\(247\) −0.615599 + 0.419708i −0.0391696 + 0.0267054i
\(248\) −3.67258 + 3.40765i −0.233209 + 0.216386i
\(249\) −15.6998 + 40.0025i −0.994936 + 2.53505i
\(250\) −1.75076 0.540038i −0.110728 0.0341550i
\(251\) −1.18269 + 5.18170i −0.0746506 + 0.327066i −0.998440 0.0558353i \(-0.982218\pi\)
0.923789 + 0.382901i \(0.125075\pi\)
\(252\) 8.95212 28.6163i 0.563931 1.80266i
\(253\) −1.39630 6.11759i −0.0877847 0.384610i
\(254\) 0.241759 3.22604i 0.0151693 0.202420i
\(255\) 13.7041 4.22714i 0.858181 0.264714i
\(256\) 0.955292 + 12.7475i 0.0597058 + 0.796718i
\(257\) −8.56230 21.8164i −0.534102 1.36087i −0.902295 0.431119i \(-0.858119\pi\)
0.368193 0.929749i \(-0.379976\pi\)
\(258\) 2.26252 + 1.08957i 0.140859 + 0.0678339i
\(259\) 14.2738 8.16522i 0.886929 0.507362i
\(260\) 1.76330 0.849161i 0.109355 0.0526627i
\(261\) −13.0922 12.1478i −0.810385 0.751927i
\(262\) 1.62063 + 0.244270i 0.100123 + 0.0150911i
\(263\) −15.1267 26.2003i −0.932755 1.61558i −0.778589 0.627535i \(-0.784064\pi\)
−0.154167 0.988045i \(-0.549269\pi\)
\(264\) 1.74834 3.02822i 0.107603 0.186374i
\(265\) −2.30495 + 2.89031i −0.141592 + 0.177551i
\(266\) −0.391802 + 0.0877835i −0.0240230 + 0.00538235i
\(267\) 2.63062 + 3.29869i 0.160991 + 0.201876i
\(268\) −24.4782 + 3.68949i −1.49524 + 0.225372i
\(269\) −23.0413 15.7093i −1.40485 0.957813i −0.999038 0.0438579i \(-0.986035\pi\)
−0.405816 0.913955i \(-0.633013\pi\)
\(270\) −1.38904 0.947035i −0.0845346 0.0576347i
\(271\) 17.8010 2.68307i 1.08133 0.162985i 0.415876 0.909421i \(-0.363475\pi\)
0.665456 + 0.746437i \(0.268237\pi\)
\(272\) −11.3285 14.2055i −0.686890 0.861333i
\(273\) 3.37453 + 7.07939i 0.204236 + 0.428464i
\(274\) −0.878691 + 1.10184i −0.0530837 + 0.0665648i
\(275\) −2.92713 + 5.06993i −0.176512 + 0.305728i
\(276\) 12.4496 + 21.5633i 0.749376 + 1.29796i
\(277\) 5.15659 + 0.777231i 0.309830 + 0.0466993i 0.302117 0.953271i \(-0.402307\pi\)
0.00771290 + 0.999970i \(0.497545\pi\)
\(278\) 1.09971 + 1.02038i 0.0659561 + 0.0611983i
\(279\) 32.3940 15.6001i 1.93938 0.933957i
\(280\) 2.12639 0.150824i 0.127076 0.00901345i
\(281\) −6.95924 3.35140i −0.415154 0.199927i 0.214634 0.976694i \(-0.431144\pi\)
−0.629788 + 0.776767i \(0.716858\pi\)
\(282\) 0.426471 + 1.08663i 0.0253960 + 0.0647079i
\(283\) −0.410701 5.48043i −0.0244137 0.325778i −0.996017 0.0891624i \(-0.971581\pi\)
0.971603 0.236615i \(-0.0760381\pi\)
\(284\) 20.6535 6.37076i 1.22556 0.378035i
\(285\) 0.164925 2.20076i 0.00976929 0.130362i
\(286\) 0.0663115 + 0.290530i 0.00392108 + 0.0171794i
\(287\) 15.4608 5.99684i 0.912620 0.353982i
\(288\) −3.06062 + 13.4094i −0.180349 + 0.790159i
\(289\) 6.15483 + 1.89851i 0.362049 + 0.111677i
\(290\) 0.229517 0.584800i 0.0134777 0.0343406i
\(291\) −6.71891 + 6.23424i −0.393870 + 0.365458i
\(292\) 24.6588 16.8121i 1.44305 0.983852i
\(293\) −18.4065 −1.07532 −0.537660 0.843162i \(-0.680692\pi\)
−0.537660 + 0.843162i \(0.680692\pi\)
\(294\) 0.282203 + 4.21693i 0.0164584 + 0.245936i
\(295\) −4.71459 −0.274494
\(296\) −4.14059 + 2.82301i −0.240667 + 0.164084i
\(297\) −8.85830 + 8.21930i −0.514010 + 0.476932i
\(298\) 0.113988 0.290436i 0.00660314 0.0168245i
\(299\) −4.09841 1.26419i −0.237017 0.0731100i
\(300\) 5.16914 22.6475i 0.298441 1.30755i
\(301\) 10.9702 + 0.866122i 0.632312 + 0.0499224i
\(302\) 0.558664 + 2.44767i 0.0321475 + 0.140847i
\(303\) −0.154123 + 2.05663i −0.00885414 + 0.118150i
\(304\) −2.67184 + 0.824154i −0.153241 + 0.0472685i
\(305\) −0.403261 5.38114i −0.0230907 0.308123i
\(306\) −2.08478 5.31193i −0.119179 0.303663i
\(307\) 21.7944 + 10.4956i 1.24387 + 0.599018i 0.935863 0.352365i \(-0.114623\pi\)
0.308010 + 0.951383i \(0.400337\pi\)
\(308\) 1.15980 7.49186i 0.0660856 0.426888i
\(309\) 45.9703 22.1381i 2.61516 1.25939i
\(310\) 0.927106 + 0.860229i 0.0526561 + 0.0488577i
\(311\) 8.50424 + 1.28181i 0.482231 + 0.0726846i 0.385659 0.922641i \(-0.373974\pi\)
0.0965720 + 0.995326i \(0.469212\pi\)
\(312\) −1.19501 2.06981i −0.0676539 0.117180i
\(313\) 6.56756 11.3754i 0.371221 0.642973i −0.618533 0.785759i \(-0.712273\pi\)
0.989754 + 0.142786i \(0.0456060\pi\)
\(314\) −0.0663345 + 0.0831808i −0.00374347 + 0.00469416i
\(315\) −14.9013 3.46373i −0.839596 0.195159i
\(316\) −3.38982 4.25070i −0.190692 0.239121i
\(317\) 34.6343 5.22027i 1.94525 0.293200i 0.945755 0.324880i \(-0.105324\pi\)
0.999498 + 0.0316799i \(0.0100857\pi\)
\(318\) 1.84550 + 1.25824i 0.103491 + 0.0705588i
\(319\) −3.73101 2.54376i −0.208897 0.142423i
\(320\) 6.93806 1.04574i 0.387849 0.0584589i
\(321\) 27.5044 + 34.4894i 1.53514 + 1.92501i
\(322\) −1.80131 1.44829i −0.100383 0.0807099i
\(323\) 2.24910 2.82029i 0.125144 0.156925i
\(324\) 6.97591 12.0826i 0.387551 0.671258i
\(325\) 2.00071 + 3.46534i 0.110980 + 0.192222i
\(326\) 0.361610 + 0.0545040i 0.0200277 + 0.00301869i
\(327\) −2.62537 2.43599i −0.145183 0.134710i
\(328\) −4.55322 + 2.19271i −0.251409 + 0.121072i
\(329\) 3.46431 + 3.76364i 0.190994 + 0.207496i
\(330\) −0.795290 0.382991i −0.0437793 0.0210830i
\(331\) 5.64820 + 14.3914i 0.310453 + 0.791021i 0.997899 + 0.0647861i \(0.0206365\pi\)
−0.687446 + 0.726235i \(0.741268\pi\)
\(332\) −2.12183 28.3139i −0.116451 1.55393i
\(333\) 34.3668 10.6008i 1.88329 0.580918i
\(334\) 0.0868323 1.15870i 0.00475125 0.0634010i
\(335\) 2.81055 + 12.3138i 0.153557 + 0.672777i
\(336\) 4.27039 + 29.1199i 0.232969 + 1.58862i
\(337\) −5.33624 + 23.3796i −0.290684 + 1.27357i 0.592893 + 0.805282i \(0.297986\pi\)
−0.883576 + 0.468287i \(0.844871\pi\)
\(338\) 0.194637 + 0.0600375i 0.0105869 + 0.00326561i
\(339\) −4.33549 + 11.0466i −0.235471 + 0.599971i
\(340\) −6.94607 + 6.44501i −0.376704 + 0.349530i
\(341\) 7.51113 5.12100i 0.406750 0.277318i
\(342\) −0.878145 −0.0474847
\(343\) 7.83539 + 16.7811i 0.423071 + 0.906096i
\(344\) −3.35358 −0.180813
\(345\) 10.4967 7.15655i 0.565125 0.385296i
\(346\) 1.87602 1.74070i 0.100856 0.0935804i
\(347\) 12.6199 32.1551i 0.677473 1.72617i −0.00998523 0.999950i \(-0.503178\pi\)
0.687459 0.726224i \(-0.258726\pi\)
\(348\) 17.1223 + 5.28152i 0.917850 + 0.283119i
\(349\) 4.58575 20.0915i 0.245469 1.07547i −0.690484 0.723348i \(-0.742602\pi\)
0.935953 0.352124i \(-0.114541\pi\)
\(350\) 0.312883 + 2.13356i 0.0167243 + 0.114044i
\(351\) 1.83793 + 8.05251i 0.0981016 + 0.429811i
\(352\) −0.259883 + 3.46790i −0.0138518 + 0.184840i
\(353\) −34.0599 + 10.5061i −1.81283 + 0.559183i −0.999737 0.0229547i \(-0.992693\pi\)
−0.813090 + 0.582138i \(0.802216\pi\)
\(354\) 0.212872 + 2.84057i 0.0113140 + 0.150975i
\(355\) −4.02896 10.2656i −0.213835 0.544842i
\(356\) −2.51164 1.20954i −0.133117 0.0641056i
\(357\) −25.7151 27.9370i −1.36099 1.47858i
\(358\) −3.22163 + 1.55146i −0.170269 + 0.0819970i
\(359\) 3.80959 + 3.53479i 0.201063 + 0.186559i 0.774278 0.632846i \(-0.218113\pi\)
−0.573215 + 0.819405i \(0.694304\pi\)
\(360\) 4.61019 + 0.694874i 0.242978 + 0.0366231i
\(361\) 9.22244 + 15.9737i 0.485392 + 0.840723i
\(362\) 0.711714 1.23273i 0.0374069 0.0647906i
\(363\) 16.3737 20.5319i 0.859394 1.07765i
\(364\) −4.03832 3.24689i −0.211666 0.170183i
\(365\) −9.49422 11.9054i −0.496950 0.623156i
\(366\) −3.22397 + 0.485935i −0.168519 + 0.0254002i
\(367\) −20.0275 13.6545i −1.04543 0.712761i −0.0864546 0.996256i \(-0.527554\pi\)
−0.958974 + 0.283495i \(0.908506\pi\)
\(368\) −13.2988 9.06695i −0.693246 0.472647i
\(369\) 35.8633 5.40552i 1.86697 0.281400i
\(370\) 0.788760 + 0.989073i 0.0410057 + 0.0514195i
\(371\) 9.53375 + 2.21606i 0.494968 + 0.115052i
\(372\) −22.4908 + 28.2026i −1.16609 + 1.46224i
\(373\) 16.7499 29.0116i 0.867275 1.50216i 0.00250470 0.999997i \(-0.499203\pi\)
0.864770 0.502168i \(-0.167464\pi\)
\(374\) −0.721400 1.24950i −0.0373027 0.0646102i
\(375\) −26.3652 3.97391i −1.36149 0.205212i
\(376\) −1.14275 1.06032i −0.0589328 0.0546817i
\(377\) −2.78083 + 1.33918i −0.143220 + 0.0689711i
\(378\) −0.680957 + 4.39872i −0.0350246 + 0.226246i
\(379\) −28.6340 13.7894i −1.47083 0.708315i −0.484761 0.874647i \(-0.661093\pi\)
−0.986070 + 0.166332i \(0.946808\pi\)
\(380\) 0.532730 + 1.35738i 0.0273285 + 0.0696319i
\(381\) −3.51825 46.9478i −0.180246 2.40521i
\(382\) 5.00734 1.54456i 0.256198 0.0790265i
\(383\) −0.0977114 + 1.30387i −0.00499282 + 0.0666246i −0.999144 0.0413761i \(-0.986826\pi\)
0.994151 + 0.108001i \(0.0344449\pi\)
\(384\) −4.07902 17.8714i −0.208157 0.911994i
\(385\) −3.85609 0.304447i −0.196524 0.0155160i
\(386\) −0.379245 + 1.66158i −0.0193031 + 0.0845723i
\(387\) 22.9981 + 7.09397i 1.16906 + 0.360607i
\(388\) 2.21249 5.63734i 0.112322 0.286193i
\(389\) 4.60498 4.27279i 0.233482 0.216639i −0.554751 0.832016i \(-0.687187\pi\)
0.788233 + 0.615377i \(0.210996\pi\)
\(390\) −0.498499 + 0.339871i −0.0252425 + 0.0172100i
\(391\) 20.7653 1.05015
\(392\) −2.78294 4.91026i −0.140560 0.248005i
\(393\) 23.8510 1.20312
\(394\) −2.20171 + 1.50110i −0.110920 + 0.0756243i
\(395\) −2.03351 + 1.88682i −0.102317 + 0.0949363i
\(396\) 6.05751 15.4343i 0.304401 0.775602i
\(397\) −25.3248 7.81167i −1.27102 0.392057i −0.415387 0.909645i \(-0.636354\pi\)
−0.855630 + 0.517588i \(0.826830\pi\)
\(398\) −0.704015 + 3.08449i −0.0352891 + 0.154612i
\(399\) −5.44772 + 2.11303i −0.272727 + 0.105784i
\(400\) 3.34149 + 14.6400i 0.167074 + 0.732001i
\(401\) 2.16229 28.8537i 0.107979 1.44089i −0.635487 0.772112i \(-0.719200\pi\)
0.743466 0.668774i \(-0.233180\pi\)
\(402\) 7.29227 2.24937i 0.363705 0.112188i
\(403\) −0.464342 6.19622i −0.0231305 0.308656i
\(404\) −0.497840 1.26848i −0.0247685 0.0631090i
\(405\) −6.41365 3.08865i −0.318697 0.153476i
\(406\) −1.65915 + 0.117682i −0.0823421 + 0.00584048i
\(407\) 8.19275 3.94542i 0.406100 0.195567i
\(408\) 8.48248 + 7.87059i 0.419945 + 0.389652i
\(409\) −24.6915 3.72164i −1.22091 0.184023i −0.493208 0.869911i \(-0.664176\pi\)
−0.727707 + 0.685888i \(0.759414\pi\)
\(410\) 0.637877 + 1.10484i 0.0315025 + 0.0545640i
\(411\) −10.2547 + 17.7616i −0.505826 + 0.876117i
\(412\) −21.0192 + 26.3573i −1.03554 + 1.29853i
\(413\) 5.37107 + 11.2679i 0.264293 + 0.554457i
\(414\) −3.15177 3.95219i −0.154901 0.194240i
\(415\) −14.3252 + 2.15918i −0.703198 + 0.105990i
\(416\) 1.96395 + 1.33900i 0.0962907 + 0.0656499i
\(417\) 18.0382 + 12.2982i 0.883335 + 0.602247i
\(418\) −0.219550 + 0.0330918i −0.0107385 + 0.00161857i
\(419\) −13.7951 17.2985i −0.673935 0.845087i 0.320845 0.947132i \(-0.396033\pi\)
−0.994780 + 0.102044i \(0.967462\pi\)
\(420\) 14.9774 3.35570i 0.730823 0.163741i
\(421\) −13.9448 + 17.4862i −0.679628 + 0.852227i −0.995320 0.0966350i \(-0.969192\pi\)
0.315692 + 0.948862i \(0.397763\pi\)
\(422\) 1.97450 3.41993i 0.0961171 0.166480i
\(423\) 5.59378 + 9.68871i 0.271979 + 0.471081i
\(424\) −2.94956 0.444574i −0.143243 0.0215904i
\(425\) −14.2016 13.1772i −0.688879 0.639186i
\(426\) −6.00319 + 2.89098i −0.290855 + 0.140069i
\(427\) −12.4015 + 7.09422i −0.600152 + 0.343313i
\(428\) −26.2604 12.6463i −1.26934 0.611284i
\(429\) 1.58439 + 4.03696i 0.0764951 + 0.194906i
\(430\) 0.0632649 + 0.844211i 0.00305090 + 0.0407115i
\(431\) 5.57952 1.72105i 0.268756 0.0829002i −0.157448 0.987527i \(-0.550327\pi\)
0.426204 + 0.904627i \(0.359851\pi\)
\(432\) −2.31637 + 30.9099i −0.111447 + 1.48715i
\(433\) 7.64382 + 33.4898i 0.367338 + 1.60941i 0.734060 + 0.679084i \(0.237623\pi\)
−0.366722 + 0.930331i \(0.619520\pi\)
\(434\) 0.999750 3.19580i 0.0479896 0.153403i
\(435\) 2.03438 8.91321i 0.0975412 0.427356i
\(436\) 2.26120 + 0.697488i 0.108292 + 0.0334036i
\(437\) 1.16746 2.97464i 0.0558472 0.142296i
\(438\) −6.74439 + 6.25788i −0.322259 + 0.299013i
\(439\) −20.6552 + 14.0825i −0.985817 + 0.672119i −0.945008 0.327048i \(-0.893946\pi\)
−0.0408097 + 0.999167i \(0.512994\pi\)
\(440\) 1.17880 0.0561972
\(441\) 8.69792 + 39.5603i 0.414187 + 1.88382i
\(442\) −0.986165 −0.0469071
\(443\) −34.5746 + 23.5726i −1.64269 + 1.11997i −0.760119 + 0.649784i \(0.774859\pi\)
−0.882569 + 0.470182i \(0.844188\pi\)
\(444\) −26.4503 + 24.5423i −1.25528 + 1.16473i
\(445\) −0.519649 + 1.32404i −0.0246337 + 0.0627657i
\(446\) 1.29339 + 0.398958i 0.0612438 + 0.0188912i
\(447\) 1.01036 4.42668i 0.0477884 0.209375i
\(448\) −10.4035 15.3906i −0.491517 0.727138i
\(449\) 3.69370 + 16.1832i 0.174317 + 0.763731i 0.984189 + 0.177124i \(0.0566794\pi\)
−0.809872 + 0.586607i \(0.800463\pi\)
\(450\) −0.352439 + 4.70297i −0.0166141 + 0.221700i
\(451\) 8.76266 2.70292i 0.412617 0.127276i
\(452\) −0.585942 7.81885i −0.0275604 0.367768i
\(453\) 13.3482 + 34.0108i 0.627155 + 1.59796i
\(454\) −0.0324057 0.0156058i −0.00152087 0.000732414i
\(455\) −1.49804 + 2.17851i −0.0702294 + 0.102130i
\(456\) 1.60436 0.772620i 0.0751311 0.0361813i
\(457\) 0.168651 + 0.156485i 0.00788915 + 0.00732006i 0.684107 0.729381i \(-0.260192\pi\)
−0.676218 + 0.736701i \(0.736382\pi\)
\(458\) 0.999361 + 0.150629i 0.0466971 + 0.00703845i
\(459\) −19.9948 34.6320i −0.933276 1.61648i
\(460\) −4.19699 + 7.26940i −0.195686 + 0.338937i
\(461\) 8.25009 10.3453i 0.384245 0.481828i −0.551666 0.834065i \(-0.686008\pi\)
0.935911 + 0.352237i \(0.114579\pi\)
\(462\) −0.00932250 + 2.33706i −0.000433722 + 0.108730i
\(463\) −17.1266 21.4761i −0.795941 0.998078i −0.999818 0.0190818i \(-0.993926\pi\)
0.203877 0.978997i \(-0.434646\pi\)
\(464\) −11.4536 + 1.72635i −0.531719 + 0.0801437i
\(465\) 15.2071 + 10.3680i 0.705211 + 0.480805i
\(466\) −2.58743 1.76408i −0.119860 0.0817194i
\(467\) −22.8491 + 3.44395i −1.05733 + 0.159367i −0.654618 0.755960i \(-0.727170\pi\)
−0.402712 + 0.915327i \(0.631932\pi\)
\(468\) −7.06591 8.86037i −0.326622 0.409571i
\(469\) 26.2282 20.7457i 1.21111 0.957947i
\(470\) −0.245360 + 0.307672i −0.0113176 + 0.0141919i
\(471\) −0.774150 + 1.34087i −0.0356710 + 0.0617839i
\(472\) −1.90203 3.29441i −0.0875480 0.151638i
\(473\) 6.01719 + 0.906946i 0.276671 + 0.0417014i
\(474\) 1.22864 + 1.14001i 0.0564333 + 0.0523624i
\(475\) −2.68607 + 1.29354i −0.123245 + 0.0593518i
\(476\) 23.3169 + 9.25870i 1.06873 + 0.424372i
\(477\) 19.2870 + 9.28811i 0.883089 + 0.425273i
\(478\) 2.00104 + 5.09857i 0.0915255 + 0.233203i
\(479\) −2.70672 36.1187i −0.123673 1.65031i −0.621781 0.783191i \(-0.713591\pi\)
0.498108 0.867115i \(-0.334028\pi\)
\(480\) −6.72801 + 2.07532i −0.307090 + 0.0947248i
\(481\) 0.464471 6.19794i 0.0211781 0.282602i
\(482\) −1.37034 6.00384i −0.0624171 0.273467i
\(483\) −29.0625 16.9342i −1.32239 0.770531i
\(484\) −3.86106 + 16.9164i −0.175503 + 0.768928i
\(485\) −2.95265 0.910771i −0.134073 0.0413560i
\(486\) 0.272565 0.694485i 0.0123638 0.0315025i
\(487\) 11.8279 10.9746i 0.535971 0.497309i −0.365107 0.930966i \(-0.618968\pi\)
0.901078 + 0.433657i \(0.142777\pi\)
\(488\) 3.59749 2.45272i 0.162851 0.111030i
\(489\) 5.32187 0.240663
\(490\) −1.18358 + 0.793194i −0.0534687 + 0.0358329i
\(491\) 19.6608 0.887278 0.443639 0.896206i \(-0.353687\pi\)
0.443639 + 0.896206i \(0.353687\pi\)
\(492\) −30.0645 + 20.4976i −1.35541 + 0.924104i
\(493\) 10.9544 10.1642i 0.493360 0.457771i
\(494\) −0.0554437 + 0.141268i −0.00249453 + 0.00635596i
\(495\) −8.08395 2.49357i −0.363346 0.112078i
\(496\) 5.18882 22.7337i 0.232985 1.02077i
\(497\) −19.9449 + 21.3242i −0.894651 + 0.956523i
\(498\) 1.94773 + 8.53356i 0.0872798 + 0.382398i
\(499\) −1.74508 + 23.2865i −0.0781205 + 1.04245i 0.811082 + 0.584932i \(0.198879\pi\)
−0.889203 + 0.457513i \(0.848740\pi\)
\(500\) 16.8342 5.19265i 0.752847 0.232223i
\(501\) −1.26365 16.8622i −0.0564557 0.753349i
\(502\) 0.395512 + 1.00775i 0.0176526 + 0.0449780i
\(503\) −30.2479 14.5666i −1.34869 0.649494i −0.386604 0.922246i \(-0.626352\pi\)
−0.962084 + 0.272752i \(0.912066\pi\)
\(504\) −3.59137 11.8100i −0.159972 0.526059i
\(505\) −0.626420 + 0.301668i −0.0278753 + 0.0134240i
\(506\) −0.936924 0.869338i −0.0416513 0.0386468i
\(507\) 2.93109 + 0.441790i 0.130174 + 0.0196206i
\(508\) 15.5532 + 26.9390i 0.690064 + 1.19523i
\(509\) −0.221615 + 0.383848i −0.00982291 + 0.0170138i −0.870895 0.491469i \(-0.836460\pi\)
0.861072 + 0.508483i \(0.169793\pi\)
\(510\) 1.82128 2.28381i 0.0806475 0.101129i
\(511\) −17.6377 + 36.2543i −0.780244 + 1.60380i
\(512\) 9.33490 + 11.7056i 0.412548 + 0.517319i
\(513\) −6.08518 + 0.917193i −0.268667 + 0.0404950i
\(514\) −3.94420 2.68911i −0.173971 0.118612i
\(515\) 14.2121 + 9.68962i 0.626258 + 0.426976i
\(516\) −23.8765 + 3.59880i −1.05110 + 0.158428i
\(517\) 1.76364 + 2.21153i 0.0775647 + 0.0972630i
\(518\) 1.46530 3.01193i 0.0643816 0.132337i
\(519\) 23.2209 29.1180i 1.01928 1.27814i
\(520\) 0.402860 0.697774i 0.0176666 0.0305994i
\(521\) 17.9319 + 31.0589i 0.785610 + 1.36072i 0.928634 + 0.370997i \(0.120984\pi\)
−0.143024 + 0.989719i \(0.545683\pi\)
\(522\) −3.59717 0.542185i −0.157444 0.0237308i
\(523\) 6.35846 + 5.89979i 0.278036 + 0.257980i 0.806848 0.590759i \(-0.201172\pi\)
−0.528812 + 0.848739i \(0.677362\pi\)
\(524\) −14.1983 + 6.83754i −0.620255 + 0.298699i
\(525\) 9.13010 + 30.0237i 0.398470 + 1.31034i
\(526\) −5.55197 2.67369i −0.242077 0.116578i
\(527\) 10.9908 + 28.0041i 0.478767 + 1.21988i
\(528\) 1.21622 + 16.2294i 0.0529294 + 0.706293i
\(529\) −4.40031 + 1.35732i −0.191318 + 0.0590137i
\(530\) −0.0562715 + 0.750891i −0.00244428 + 0.0326166i
\(531\) 6.07487 + 26.6158i 0.263627 + 1.15503i
\(532\) 2.63722 2.81961i 0.114338 0.122245i
\(533\) 1.39472 6.11066i 0.0604119 0.264682i
\(534\) 0.821208 + 0.253309i 0.0355372 + 0.0109618i
\(535\) −5.43318 + 13.8435i −0.234897 + 0.598508i
\(536\) −7.47066 + 6.93176i −0.322683 + 0.299406i
\(537\) −42.9949 + 29.3134i −1.85537 + 1.26497i
\(538\) −5.68019 −0.244890
\(539\) 3.66539 + 9.56290i 0.157880 + 0.411903i
\(540\) 16.1650 0.695630
\(541\) 27.8297 18.9739i 1.19649 0.815753i 0.209702 0.977765i \(-0.432751\pi\)
0.986789 + 0.162012i \(0.0517984\pi\)
\(542\) 2.68793 2.49403i 0.115456 0.107128i
\(543\) 7.56797 19.2829i 0.324773 0.827507i
\(544\) −10.9971 3.39215i −0.471496 0.145437i
\(545\) 0.268664 1.17710i 0.0115083 0.0504212i
\(546\) 1.38020 + 0.804219i 0.0590673 + 0.0344174i
\(547\) −1.50888 6.61083i −0.0645150 0.282659i 0.932372 0.361500i \(-0.117735\pi\)
−0.996887 + 0.0788410i \(0.974878\pi\)
\(548\) 1.01267 13.5131i 0.0432590 0.577252i
\(549\) −29.8591 + 9.21031i −1.27435 + 0.393086i
\(550\) 0.0891104 + 1.18910i 0.00379968 + 0.0507032i
\(551\) −0.840147 2.14066i −0.0357915 0.0911952i
\(552\) 9.23552 + 4.44759i 0.393090 + 0.189302i
\(553\) 6.82617 + 2.71055i 0.290278 + 0.115264i
\(554\) 0.957000 0.460867i 0.0406590 0.0195804i
\(555\) 13.4957 + 12.5222i 0.572860 + 0.531537i
\(556\) −14.2636 2.14989i −0.604911 0.0911757i
\(557\) −2.78215 4.81883i −0.117883 0.204180i 0.801045 0.598604i \(-0.204278\pi\)
−0.918929 + 0.394424i \(0.870944\pi\)
\(558\) 3.66173 6.34231i 0.155014 0.268491i
\(559\) 2.59325 3.25183i 0.109683 0.137538i
\(560\) −7.78186 + 6.15520i −0.328843 + 0.260105i
\(561\) −13.0912 16.4159i −0.552713 0.693080i
\(562\) −1.55574 + 0.234489i −0.0656247 + 0.00989134i
\(563\) 1.64746 + 1.12322i 0.0694322 + 0.0473381i 0.597539 0.801840i \(-0.296145\pi\)
−0.528106 + 0.849178i \(0.677098\pi\)
\(564\) −9.27388 6.32283i −0.390501 0.266239i
\(565\) −3.95590 + 0.596256i −0.166426 + 0.0250847i
\(566\) −0.697945 0.875196i −0.0293368 0.0367872i
\(567\) −0.0751817 + 18.8474i −0.00315734 + 0.791515i
\(568\) 5.54787 6.95681i 0.232784 0.291901i
\(569\) 22.5241 39.0129i 0.944260 1.63551i 0.187034 0.982353i \(-0.440112\pi\)
0.757226 0.653153i \(-0.226554\pi\)
\(570\) −0.224761 0.389298i −0.00941421 0.0163059i
\(571\) −33.4759 5.04567i −1.40092 0.211155i −0.595261 0.803533i \(-0.702951\pi\)
−0.805660 + 0.592378i \(0.798189\pi\)
\(572\) −2.10048 1.94896i −0.0878253 0.0814900i
\(573\) 68.7066 33.0873i 2.87026 1.38224i
\(574\) 1.91386 2.78320i 0.0798831 0.116169i
\(575\) −15.4624 7.44628i −0.644825 0.310531i
\(576\) −14.8435 37.8206i −0.618479 1.57586i
\(577\) −0.720663 9.61658i −0.0300016 0.400343i −0.991907 0.126963i \(-0.959477\pi\)
0.961906 0.273381i \(-0.0881419\pi\)
\(578\) 1.25365 0.386701i 0.0521451 0.0160846i
\(579\) −1.85349 + 24.7331i −0.0770284 + 1.02787i
\(580\) 1.34416 + 5.88916i 0.0558133 + 0.244534i
\(581\) 21.4804 + 31.7775i 0.891156 + 1.31835i
\(582\) −0.415429 + 1.82011i −0.0172201 + 0.0754461i
\(583\) 5.17204 + 1.59536i 0.214204 + 0.0660732i
\(584\) 4.48881 11.4373i 0.185748 0.473279i
\(585\) −4.23875 + 3.93298i −0.175251 + 0.162609i
\(586\) −3.09770 + 2.11197i −0.127965 + 0.0872448i
\(587\) −39.3944 −1.62598 −0.812991 0.582276i \(-0.802162\pi\)
−0.812991 + 0.582276i \(0.802162\pi\)
\(588\) −25.0830 31.9731i −1.03441 1.31855i
\(589\) 4.62951 0.190756
\(590\) −0.793435 + 0.540955i −0.0326652 + 0.0222708i
\(591\) −28.4272 + 26.3766i −1.16934 + 1.08499i
\(592\) 8.52151 21.7124i 0.350232 0.892376i
\(593\) −4.38961 1.35402i −0.180260 0.0556028i 0.203311 0.979114i \(-0.434830\pi\)
−0.383571 + 0.923511i \(0.625306\pi\)
\(594\) −0.547706 + 2.39966i −0.0224727 + 0.0984592i
\(595\) 3.82178 12.2167i 0.156678 0.500835i
\(596\) 0.667569 + 2.92481i 0.0273447 + 0.119805i
\(597\) −3.44074 + 45.9135i −0.140820 + 1.87911i
\(598\) −0.834788 + 0.257498i −0.0341370 + 0.0105299i
\(599\) 2.40023 + 32.0289i 0.0980709 + 1.30866i 0.801541 + 0.597940i \(0.204014\pi\)
−0.703470 + 0.710725i \(0.748367\pi\)
\(600\) −3.49392 8.90237i −0.142639 0.363438i
\(601\) 2.01976 + 0.972663i 0.0823876 + 0.0396758i 0.474624 0.880189i \(-0.342584\pi\)
−0.392236 + 0.919865i \(0.628298\pi\)
\(602\) 1.94559 1.11296i 0.0792964 0.0453610i
\(603\) 65.8951 31.7334i 2.68346 1.29228i
\(604\) −17.6962 16.4197i −0.720047 0.668106i
\(605\) 8.75431 + 1.31950i 0.355913 + 0.0536453i
\(606\) 0.210041 + 0.363801i 0.00853232 + 0.0147784i
\(607\) 17.2459 29.8708i 0.699990 1.21242i −0.268479 0.963286i \(-0.586521\pi\)
0.968469 0.249133i \(-0.0801458\pi\)
\(608\) −1.10420 + 1.38462i −0.0447812 + 0.0561538i
\(609\) −23.6203 + 5.29213i −0.957141 + 0.214448i
\(610\) −0.685301 0.859341i −0.0277470 0.0347937i
\(611\) 1.91181 0.288159i 0.0773436 0.0116577i
\(612\) 45.3349 + 30.9088i 1.83255 + 1.24941i
\(613\) 24.1835 + 16.4880i 0.976761 + 0.665944i 0.942758 0.333478i \(-0.108222\pi\)
0.0340027 + 0.999422i \(0.489175\pi\)
\(614\) 4.87213 0.734355i 0.196623 0.0296362i
\(615\) 11.5756 + 14.5153i 0.466772 + 0.585313i
\(616\) −1.34294 2.81734i −0.0541086 0.113514i
\(617\) 6.51403 8.16833i 0.262245 0.328845i −0.633224 0.773968i \(-0.718269\pi\)
0.895469 + 0.445124i \(0.146840\pi\)
\(618\) 5.19636 9.00036i 0.209028 0.362048i
\(619\) 17.1869 + 29.7687i 0.690802 + 1.19650i 0.971576 + 0.236730i \(0.0760756\pi\)
−0.280774 + 0.959774i \(0.590591\pi\)
\(620\) −12.0249 1.81246i −0.482932 0.0727902i
\(621\) −25.9684 24.0951i −1.04207 0.966904i
\(622\) 1.57828 0.760061i 0.0632834 0.0304757i
\(623\) 3.75648 0.266445i 0.150500 0.0106749i
\(624\) 10.0224 + 4.82653i 0.401217 + 0.193216i
\(625\) 4.02552 + 10.2569i 0.161021 + 0.410274i
\(626\) −0.199936 2.66796i −0.00799106 0.106633i
\(627\) −3.08759 + 0.952396i −0.123307 + 0.0380350i
\(628\) 0.0764487 1.02014i 0.00305064 0.0407079i
\(629\) 6.69610 + 29.3375i 0.266991 + 1.16976i
\(630\) −2.90523 + 1.12686i −0.115747 + 0.0448954i
\(631\) 1.19575 5.23890i 0.0476019 0.208557i −0.945534 0.325523i \(-0.894460\pi\)
0.993136 + 0.116966i \(0.0373168\pi\)
\(632\) −2.13884 0.659745i −0.0850785 0.0262432i
\(633\) 20.9957 53.4962i 0.834504 2.12628i
\(634\) 5.22974 4.85249i 0.207699 0.192717i
\(635\) 13.1136 8.94068i 0.520396 0.354800i
\(636\) −21.4770 −0.851620
\(637\) 6.91327 + 1.09848i 0.273914 + 0.0435235i
\(638\) −0.919777 −0.0364143
\(639\) −52.7621 + 35.9726i −2.08724 + 1.42305i
\(640\) 4.53006 4.20328i 0.179066 0.166149i
\(641\) −4.59024 + 11.6957i −0.181304 + 0.461954i −0.992414 0.122939i \(-0.960768\pi\)
0.811111 + 0.584893i \(0.198863\pi\)
\(642\) 8.58613 + 2.64847i 0.338868 + 0.104527i
\(643\) 4.14841 18.1754i 0.163597 0.716766i −0.824869 0.565324i \(-0.808751\pi\)
0.988466 0.151442i \(-0.0483918\pi\)
\(644\) 22.1553 + 1.74921i 0.873040 + 0.0689284i
\(645\) 2.74147 + 12.0112i 0.107945 + 0.472939i
\(646\) 0.0549082 0.732699i 0.00216033 0.0288277i
\(647\) 37.8402 11.6722i 1.48765 0.458880i 0.558791 0.829309i \(-0.311266\pi\)
0.928861 + 0.370429i \(0.120789\pi\)
\(648\) −0.429234 5.72773i −0.0168619 0.225006i
\(649\) 2.52179 + 6.42542i 0.0989890 + 0.252220i
\(650\) 0.734321 + 0.353630i 0.0288024 + 0.0138705i
\(651\) 7.45502 48.1566i 0.292185 1.88741i
\(652\) −3.16806 + 1.52566i −0.124071 + 0.0597493i
\(653\) 21.8984 + 20.3187i 0.856949 + 0.795133i 0.980359 0.197223i \(-0.0631924\pi\)
−0.123409 + 0.992356i \(0.539383\pi\)
\(654\) −0.721338 0.108724i −0.0282066 0.00425146i
\(655\) 4.02032 + 6.96340i 0.157087 + 0.272082i
\(656\) 11.7609 20.3704i 0.459185 0.795332i
\(657\) −54.9771 + 68.9390i −2.14486 + 2.68957i
\(658\) 1.01486 + 0.235899i 0.0395634 + 0.00919629i
\(659\) −1.70610 2.13938i −0.0664603 0.0833386i 0.747490 0.664273i \(-0.231259\pi\)
−0.813950 + 0.580934i \(0.802687\pi\)
\(660\) 8.39271 1.26500i 0.326686 0.0492400i
\(661\) −0.694138 0.473256i −0.0269989 0.0184075i 0.549745 0.835332i \(-0.314725\pi\)
−0.576744 + 0.816925i \(0.695677\pi\)
\(662\) 2.60183 + 1.77390i 0.101123 + 0.0689444i
\(663\) −14.1911 + 2.13897i −0.551138 + 0.0830706i
\(664\) −7.28806 9.13894i −0.282832 0.354660i
\(665\) −1.53517 1.23431i −0.0595315 0.0478645i
\(666\) 4.56738 5.72731i 0.176982 0.221929i
\(667\) 6.61890 11.4643i 0.256285 0.443898i
\(668\) 5.58625 + 9.67567i 0.216139 + 0.374363i
\(669\) 19.4775 + 2.93576i 0.753044 + 0.113503i
\(670\) 1.88589 + 1.74985i 0.0728585 + 0.0676028i
\(671\) −7.11814 + 3.42792i −0.274793 + 0.132333i
\(672\) 12.6248 + 13.7157i 0.487014 + 0.529094i
\(673\) −0.605600 0.291642i −0.0233442 0.0112420i 0.422175 0.906514i \(-0.361267\pi\)
−0.445519 + 0.895272i \(0.646981\pi\)
\(674\) 1.78453 + 4.54692i 0.0687377 + 0.175141i
\(675\) 2.46984 + 32.9577i 0.0950642 + 1.26854i
\(676\) −1.87150 + 0.577282i −0.0719808 + 0.0222031i
\(677\) −1.16990 + 15.6113i −0.0449630 + 0.599990i 0.928528 + 0.371263i \(0.121075\pi\)
−0.973491 + 0.228727i \(0.926544\pi\)
\(678\) 0.537863 + 2.35653i 0.0206565 + 0.0905021i
\(679\) 1.18704 + 8.09443i 0.0455543 + 0.310636i
\(680\) −0.868046 + 3.80316i −0.0332880 + 0.145844i
\(681\) −0.500173 0.154283i −0.0191667 0.00591214i
\(682\) 0.676487 1.72366i 0.0259040 0.0660024i
\(683\) −15.3750 + 14.2659i −0.588308 + 0.545870i −0.917164 0.398510i \(-0.869527\pi\)
0.328856 + 0.944380i \(0.393337\pi\)
\(684\) 6.97649 4.75649i 0.266753 0.181869i
\(685\) −6.91410 −0.264174
\(686\) 3.24412 + 1.92512i 0.123861 + 0.0735014i
\(687\) 14.7077 0.561135
\(688\) 12.8966 8.79275i 0.491678 0.335221i
\(689\) 2.71191 2.51629i 0.103316 0.0958630i
\(690\) 0.945384 2.40880i 0.0359902 0.0917014i
\(691\) −25.7317 7.93718i −0.978880 0.301944i −0.236284 0.971684i \(-0.575929\pi\)
−0.742596 + 0.669740i \(0.766406\pi\)
\(692\) −5.47570 + 23.9906i −0.208155 + 0.911986i
\(693\) 3.24994 + 22.1614i 0.123455 + 0.841843i
\(694\) −1.56564 6.85950i −0.0594307 0.260383i
\(695\) −0.550005 + 7.33931i −0.0208629 + 0.278396i
\(696\) 7.04902 2.17433i 0.267192 0.0824179i
\(697\) 2.26777 + 30.2613i 0.0858979 + 1.14623i
\(698\) −1.53355 3.90743i −0.0580459 0.147899i
\(699\) −41.0599 19.7734i −1.55303 0.747899i
\(700\) −14.0422 15.2555i −0.530745 0.576603i
\(701\) −19.6770 + 9.47593i −0.743189 + 0.357901i −0.766856 0.641819i \(-0.778180\pi\)
0.0236675 + 0.999720i \(0.492466\pi\)
\(702\) 1.23326 + 1.14430i 0.0465464 + 0.0431888i
\(703\) 4.57908 + 0.690185i 0.172703 + 0.0260308i
\(704\) −5.13632 8.89637i −0.193582 0.335295i
\(705\) −2.86345 + 4.95965i −0.107844 + 0.186791i
\(706\) −4.52659 + 5.67616i −0.170360 + 0.213625i
\(707\) 1.43463 + 1.15347i 0.0539549 + 0.0433808i
\(708\) −17.0772 21.4141i −0.641800 0.804792i
\(709\) 35.8089 5.39733i 1.34483 0.202701i 0.563138 0.826363i \(-0.309594\pi\)
0.781694 + 0.623662i \(0.214356\pi\)
\(710\) −1.85593 1.26535i −0.0696518 0.0474878i
\(711\) 13.2721 + 9.04876i 0.497742 + 0.339355i
\(712\) −1.13485 + 0.171050i −0.0425301 + 0.00641039i
\(713\) 16.6159 + 20.8357i 0.622270 + 0.780302i
\(714\) −7.53319 1.75104i −0.281922 0.0655312i
\(715\) −0.911542 + 1.14304i −0.0340897 + 0.0427472i
\(716\) 17.1910 29.7757i 0.642458 1.11277i
\(717\) 39.8541 + 69.0293i 1.48838 + 2.57795i
\(718\) 1.04671 + 0.157767i 0.0390630 + 0.00588780i
\(719\) −23.5389 21.8409i −0.877854 0.814529i 0.105840 0.994383i \(-0.466247\pi\)
−0.983693 + 0.179854i \(0.942437\pi\)
\(720\) −19.5509 + 9.41523i −0.728620 + 0.350885i
\(721\) 6.96723 45.0057i 0.259473 1.67610i
\(722\) 3.38491 + 1.63009i 0.125973 + 0.0606656i
\(723\) −32.7416 83.4243i −1.21767 3.10258i
\(724\) 1.02281 + 13.6485i 0.0380125 + 0.507242i
\(725\) −11.8017 + 3.64033i −0.438302 + 0.135198i
\(726\) 0.399736 5.33411i 0.0148356 0.197967i
\(727\) −1.60929 7.05078i −0.0596854 0.261499i 0.936278 0.351260i \(-0.114247\pi\)
−0.995963 + 0.0897613i \(0.971390\pi\)
\(728\) −2.12664 0.167903i −0.0788184 0.00622288i
\(729\) 7.17146 31.4202i 0.265610 1.16371i
\(730\) −2.96384 0.914225i −0.109697 0.0338370i
\(731\) −7.35701 + 18.7454i −0.272109 + 0.693322i
\(732\) 22.9809 21.3232i 0.849400 0.788128i
\(733\) 10.1321 6.90798i 0.374239 0.255152i −0.361564 0.932347i \(-0.617757\pi\)
0.735803 + 0.677195i \(0.236805\pi\)
\(734\) −4.93723 −0.182236
\(735\) −15.3116 + 13.9814i −0.564775 + 0.515711i
\(736\) −10.1948 −0.375784
\(737\) 15.2789 10.4170i 0.562807 0.383715i
\(738\) 5.41532 5.02468i 0.199341 0.184961i
\(739\) −8.49920 + 21.6556i −0.312648 + 0.796614i 0.685030 + 0.728515i \(0.259789\pi\)
−0.997679 + 0.0681000i \(0.978306\pi\)
\(740\) −11.6237 3.58543i −0.427295 0.131803i
\(741\) −0.491440 + 2.15314i −0.0180535 + 0.0790975i
\(742\) 1.85874 0.720958i 0.0682365 0.0264672i
\(743\) 0.251260 + 1.10084i 0.00921783 + 0.0403859i 0.979328 0.202280i \(-0.0648352\pi\)
−0.970110 + 0.242666i \(0.921978\pi\)
\(744\) −1.10978 + 14.8090i −0.0406867 + 0.542926i
\(745\) 1.46269 0.451181i 0.0535889 0.0165300i
\(746\) −0.509916 6.80435i −0.0186693 0.249125i
\(747\) 30.6479 + 78.0895i 1.12135 + 2.85715i
\(748\) 12.4992 + 6.01928i 0.457014 + 0.220087i
\(749\) 39.2758 2.78581i 1.43511 0.101791i
\(750\) −4.89305 + 2.35637i −0.178669 + 0.0860424i
\(751\) 12.7721 + 11.8508i 0.466062 + 0.432442i 0.877921 0.478805i \(-0.158930\pi\)
−0.411859 + 0.911247i \(0.635121\pi\)
\(752\) 7.17463 + 1.08140i 0.261632 + 0.0394347i
\(753\) 7.87728 + 13.6438i 0.287064 + 0.497209i
\(754\) −0.314337 + 0.544448i −0.0114475 + 0.0198276i
\(755\) −7.67960 + 9.62991i −0.279489 + 0.350468i
\(756\) −18.4158 38.6344i −0.669778 1.40512i
\(757\) 5.43413 + 6.81419i 0.197507 + 0.247666i 0.870716 0.491786i \(-0.163656\pi\)
−0.673209 + 0.739452i \(0.735085\pi\)
\(758\) −6.40112 + 0.964814i −0.232499 + 0.0350436i
\(759\) −15.3681 10.4778i −0.557827 0.380320i
\(760\) 0.496000 + 0.338167i 0.0179918 + 0.0122666i
\(761\) −9.20501 + 1.38743i −0.333681 + 0.0502944i −0.313746 0.949507i \(-0.601584\pi\)
−0.0199353 + 0.999801i \(0.506346\pi\)
\(762\) −5.97892 7.49733i −0.216593 0.271599i
\(763\) −3.11934 + 0.698889i −0.112928 + 0.0253015i
\(764\) −31.4150 + 39.3932i −1.13656 + 1.42520i
\(765\) 13.9978 24.2450i 0.506093 0.876578i
\(766\) 0.133162 + 0.230644i 0.00481135 + 0.00833350i
\(767\) 4.66526 + 0.703175i 0.168453 + 0.0253902i
\(768\) 27.7768 + 25.7731i 1.00231 + 0.930007i
\(769\) −24.3872 + 11.7442i −0.879424 + 0.423508i −0.818414 0.574629i \(-0.805146\pi\)
−0.0610100 + 0.998137i \(0.519432\pi\)
\(770\) −0.683886 + 0.391213i −0.0246456 + 0.0140983i
\(771\) −62.5905 30.1420i −2.25414 1.08554i
\(772\) −5.98705 15.2547i −0.215479 0.549030i
\(773\) 1.97387 + 26.3395i 0.0709953 + 0.947366i 0.913017 + 0.407922i \(0.133747\pi\)
−0.842021 + 0.539444i \(0.818634\pi\)
\(774\) 4.68439 1.44494i 0.168377 0.0519374i
\(775\) 1.85803 24.7937i 0.0667425 0.890616i
\(776\) −0.554781 2.43066i −0.0199155 0.0872554i
\(777\) 14.5532 46.5205i 0.522092 1.66892i
\(778\) 0.284725 1.24746i 0.0102079 0.0447236i
\(779\) 4.46243 + 1.37648i 0.159883 + 0.0493174i
\(780\) 2.11944 5.40026i 0.0758883 0.193360i
\(781\) −11.8357 + 10.9820i −0.423516 + 0.392965i
\(782\) 3.49467 2.38263i 0.124969 0.0852025i
\(783\) −25.4931 −0.911050
\(784\) 23.5764 + 11.5864i 0.842013 + 0.413800i
\(785\) −0.521962 −0.0186296
\(786\) 4.01397 2.73668i 0.143173 0.0976140i
\(787\) 5.41538 5.02474i 0.193037 0.179113i −0.577732 0.816226i \(-0.696062\pi\)
0.770770 + 0.637114i \(0.219872\pi\)
\(788\) 9.36089 23.8512i 0.333468 0.849663i
\(789\) −85.6932 26.4328i −3.05076 0.941034i
\(790\) −0.125731 + 0.550866i −0.00447333 + 0.0195989i
\(791\) 5.93178 + 8.77532i 0.210910 + 0.312015i
\(792\) −1.51892 6.65480i −0.0539723 0.236468i
\(793\) −0.403548 + 5.38498i −0.0143304 + 0.191226i
\(794\) −5.15831 + 1.59113i −0.183062 + 0.0564671i
\(795\) 0.818906 + 10.9275i 0.0290436 + 0.387560i
\(796\) −11.1141 28.3183i −0.393929 1.00371i
\(797\) −28.1193 13.5415i −0.996036 0.479666i −0.136445 0.990648i \(-0.543568\pi\)
−0.859591 + 0.510982i \(0.829282\pi\)
\(798\) −0.674365 + 0.980684i −0.0238723 + 0.0347158i
\(799\) −8.43375 + 4.06148i −0.298365 + 0.143685i
\(800\) 6.97228 + 6.46933i 0.246507 + 0.228725i
\(801\) 8.14434 + 1.22756i 0.287766 + 0.0433738i
\(802\) −2.94679 5.10399i −0.104055 0.180228i
\(803\) −11.1472 + 19.3075i −0.393377 + 0.681348i
\(804\) −45.7502 + 57.3690i −1.61349 + 2.02325i
\(805\) 0.0452323 11.3393i 0.00159423 0.399659i
\(806\) −0.789103 0.989504i −0.0277950 0.0348538i
\(807\) −81.7392 + 12.3202i −2.87736 + 0.433692i
\(808\) −0.463516 0.316020i −0.0163064 0.0111175i
\(809\) 24.5556 + 16.7417i 0.863327 + 0.588607i 0.911992 0.410209i \(-0.134544\pi\)
−0.0486645 + 0.998815i \(0.515497\pi\)
\(810\) −1.43377 + 0.216106i −0.0503775 + 0.00759318i
\(811\) −7.61998 9.55515i −0.267574 0.335527i 0.629834 0.776730i \(-0.283123\pi\)
−0.897407 + 0.441204i \(0.854552\pi\)
\(812\) 12.5438 9.92174i 0.440201 0.348185i
\(813\) 33.2704 41.7198i 1.16684 1.46318i
\(814\) 0.926087 1.60403i 0.0324593 0.0562212i
\(815\) 0.897052 + 1.55374i 0.0314224 + 0.0544251i
\(816\) −53.2563 8.02710i −1.86434 0.281005i
\(817\) 2.27165 + 2.10779i 0.0794751 + 0.0737421i
\(818\) −4.58243 + 2.20678i −0.160221 + 0.0771584i
\(819\) 14.2288 + 5.65000i 0.497195 + 0.197427i
\(820\) −11.0520 5.32237i −0.385953 0.185865i
\(821\) 1.73415 + 4.41854i 0.0605222 + 0.154208i 0.957936 0.286982i \(-0.0926519\pi\)
−0.897414 + 0.441190i \(0.854557\pi\)
\(822\) 0.312183 + 4.16579i 0.0108886 + 0.145299i
\(823\) −12.3322 + 3.80399i −0.429875 + 0.132599i −0.502139 0.864787i \(-0.667454\pi\)
0.0722645 + 0.997386i \(0.476977\pi\)
\(824\) −1.03717 + 13.8401i −0.0361315 + 0.482142i
\(825\) 3.86144 + 16.9181i 0.134438 + 0.589012i
\(826\) 2.19680 + 1.28003i 0.0764364 + 0.0445380i
\(827\) −3.88268 + 17.0112i −0.135014 + 0.591536i 0.861474 + 0.507802i \(0.169542\pi\)
−0.996488 + 0.0837340i \(0.973315\pi\)
\(828\) 46.4466 + 14.3269i 1.61413 + 0.497893i
\(829\) −0.569690 + 1.45155i −0.0197862 + 0.0504143i −0.940425 0.340000i \(-0.889573\pi\)
0.920639 + 0.390414i \(0.127668\pi\)
\(830\) −2.16310 + 2.00706i −0.0750822 + 0.0696661i
\(831\) 12.7718 8.70769i 0.443050 0.302066i
\(832\) −7.02143 −0.243424
\(833\) −33.5518 + 4.78369i −1.16250 + 0.165745i
\(834\) 4.44682 0.153981
\(835\) 4.70999 3.21122i 0.162996 0.111129i
\(836\) 1.56498 1.45209i 0.0541261 0.0502217i
\(837\) 18.7499 47.7741i 0.648093 1.65131i
\(838\) −4.30646 1.32837i −0.148764 0.0458877i
\(839\) −7.92446 + 34.7193i −0.273583 + 1.19864i 0.632168 + 0.774832i \(0.282165\pi\)
−0.905750 + 0.423812i \(0.860692\pi\)
\(840\) 4.31637 4.61488i 0.148929 0.159229i
\(841\) 4.33328 + 18.9854i 0.149424 + 0.654667i
\(842\) −0.340440 + 4.54285i −0.0117323 + 0.156557i
\(843\) −21.8788 + 6.74871i −0.753545 + 0.232438i
\(844\) 2.83757 + 37.8648i 0.0976733 + 1.30336i
\(845\) 0.365081 + 0.930211i 0.0125592 + 0.0320002i
\(846\) 2.05308 + 0.988713i 0.0705865 + 0.0339927i
\(847\) −6.81968 22.4261i −0.234327 0.770569i
\(848\) 12.5085 6.02378i 0.429544 0.206858i
\(849\) −11.9419 11.0804i −0.409844 0.380279i
\(850\) −3.90199 0.588130i −0.133837 0.0201727i
\(851\) 13.3286 + 23.0858i 0.456899 + 0.791372i
\(852\) 32.0337 55.4840i 1.09746 1.90085i
\(853\) 23.3855 29.3244i 0.800703 1.00405i −0.199008 0.979998i \(-0.563772\pi\)
0.999711 0.0240517i \(-0.00765662\pi\)
\(854\) −1.27310 + 2.61687i −0.0435646 + 0.0895474i
\(855\) −2.68612 3.36828i −0.0918632 0.115193i
\(856\) −11.8654 + 1.78841i −0.405550 + 0.0611268i
\(857\) −16.4522 11.2169i −0.561996 0.383162i 0.248744 0.968569i \(-0.419982\pi\)
−0.810740 + 0.585407i \(0.800935\pi\)
\(858\) 0.729845 + 0.497600i 0.0249165 + 0.0169878i
\(859\) 10.9594 1.65186i 0.373930 0.0563608i 0.0406109 0.999175i \(-0.487070\pi\)
0.333319 + 0.942814i \(0.391831\pi\)
\(860\) −5.07529 6.36422i −0.173066 0.217018i
\(861\) 21.5042 44.2020i 0.732862 1.50640i
\(862\) 0.741521 0.929838i 0.0252563 0.0316704i
\(863\) −9.21978 + 15.9691i −0.313845 + 0.543595i −0.979191 0.202940i \(-0.934951\pi\)
0.665346 + 0.746535i \(0.268284\pi\)
\(864\) 9.81644 + 17.0026i 0.333962 + 0.578440i
\(865\) 12.4152 + 1.87129i 0.422130 + 0.0636259i
\(866\) 5.12903 + 4.75905i 0.174292 + 0.161719i
\(867\) 17.2016 8.28385i 0.584197 0.281334i
\(868\) 9.36749 + 30.8044i 0.317953 + 1.04557i
\(869\) 3.65921 + 1.76218i 0.124130 + 0.0597780i
\(870\) −0.680333 1.73346i −0.0230655 0.0587698i
\(871\) −0.944553 12.6042i −0.0320050 0.427076i
\(872\) 0.930906 0.287147i 0.0315245 0.00972401i
\(873\) −1.33711 + 17.8424i −0.0452541 + 0.603875i
\(874\) −0.144836 0.634567i −0.00489914 0.0214646i
\(875\) −16.2566 + 17.3809i −0.549573 + 0.587581i
\(876\) 19.6854 86.2472i 0.665107 2.91402i
\(877\) −8.80133 2.71485i −0.297200 0.0916740i 0.142569 0.989785i \(-0.454464\pi\)
−0.439769 + 0.898111i \(0.644940\pi\)
\(878\) −1.86030 + 4.73997i −0.0627821 + 0.159966i
\(879\) −39.9957 + 37.1106i −1.34902 + 1.25171i
\(880\) −4.53323 + 3.09070i −0.152815 + 0.104188i
\(881\) −49.9492 −1.68283 −0.841416 0.540388i \(-0.818277\pi\)
−0.841416 + 0.540388i \(0.818277\pi\)
\(882\) 6.00297 + 5.65973i 0.202130 + 0.190573i
\(883\) 15.8937 0.534866 0.267433 0.963576i \(-0.413825\pi\)
0.267433 + 0.963576i \(0.413825\pi\)
\(884\) 7.83465 5.34158i 0.263508 0.179657i
\(885\) −10.2444 + 9.50540i −0.344361 + 0.319520i
\(886\) −3.11395 + 7.93421i −0.104615 + 0.266555i
\(887\) −47.8081 14.7469i −1.60524 0.495151i −0.642661 0.766151i \(-0.722170\pi\)
−0.962579 + 0.271000i \(0.912646\pi\)
\(888\) −3.30548 + 14.4823i −0.110925 + 0.485993i
\(889\) −36.3078 21.1559i −1.21772 0.709545i
\(890\) 0.0644680 + 0.282453i 0.00216097 + 0.00946784i
\(891\) −0.778856 + 10.3931i −0.0260927 + 0.348182i
\(892\) −12.4364 + 3.83612i −0.416401 + 0.128443i
\(893\) 0.107649 + 1.43648i 0.00360234 + 0.0480699i
\(894\) −0.337882 0.860910i −0.0113005 0.0287932i
\(895\) −15.8054 7.61147i −0.528316 0.254423i
\(896\) −15.2067 6.03829i −0.508019 0.201725i
\(897\) −11.4543 + 5.51609i −0.382447 + 0.184177i
\(898\) 2.47849 + 2.29970i 0.0827083 + 0.0767421i
\(899\) 18.9640 + 2.85836i 0.632484 + 0.0953316i
\(900\) −22.6737 39.2721i −0.755792 1.30907i
\(901\) −8.95569 + 15.5117i −0.298357 + 0.516770i
\(902\) 1.16456 1.46032i 0.0387757 0.0486232i
\(903\) 25.5835 20.2357i 0.851366 0.673403i
\(904\) −2.01259 2.52371i −0.0669378 0.0839373i
\(905\) 6.90537 1.04082i 0.229542 0.0345979i
\(906\) 6.14883 + 4.19220i 0.204281 + 0.139277i
\(907\) 26.8334 + 18.2947i 0.890989 + 0.607466i 0.919916 0.392115i \(-0.128257\pi\)
−0.0289270 + 0.999582i \(0.509209\pi\)
\(908\) 0.341978 0.0515449i 0.0113489 0.00171058i
\(909\) 2.51019 + 3.14768i 0.0832579 + 0.104402i
\(910\) −0.00214812 + 0.538515i −7.12096e−5 + 0.0178516i
\(911\) −15.8227 + 19.8410i −0.524229 + 0.657363i −0.971501 0.237036i \(-0.923824\pi\)
0.447272 + 0.894398i \(0.352396\pi\)
\(912\) −4.14404 + 7.17769i −0.137223 + 0.237677i
\(913\) 10.6051 + 18.3686i 0.350979 + 0.607913i
\(914\) 0.0463380 + 0.00698433i 0.00153272 + 0.000231021i
\(915\) −11.7255 10.8797i −0.387634 0.359672i
\(916\) −8.75538 + 4.21637i −0.289286 + 0.139313i
\(917\) 12.0624 17.5416i 0.398336 0.579274i
\(918\) −7.33868 3.53412i −0.242212 0.116643i
\(919\) −7.30550 18.6141i −0.240986 0.614023i 0.758296 0.651911i \(-0.226032\pi\)
−0.999282 + 0.0378876i \(0.987937\pi\)
\(920\) 0.258244 + 3.44603i 0.00851406 + 0.113612i
\(921\) 68.5182 21.1351i 2.25775 0.696424i
\(922\) 0.201412 2.68766i 0.00663317 0.0885134i
\(923\) 2.45570 + 10.7591i 0.0808302 + 0.354140i
\(924\) −12.5847 18.6175i −0.414006 0.612470i
\(925\) 5.53412 24.2466i 0.181961 0.797223i
\(926\) −5.34647 1.64917i −0.175696 0.0541950i
\(927\) 36.3891 92.7180i 1.19518 3.04526i
\(928\) −5.37805 + 4.99010i −0.176543 + 0.163808i
\(929\) 44.4993 30.3391i 1.45998 0.995395i 0.466119 0.884722i \(-0.345652\pi\)
0.993857 0.110672i \(-0.0353004\pi\)
\(930\) 3.74888 0.122931
\(931\) −1.20107 + 5.07525i −0.0393635 + 0.166335i
\(932\) 30.1112 0.986324
\(933\) 21.0633 14.3607i 0.689581 0.470148i
\(934\) −3.45019 + 3.20131i −0.112894 + 0.104750i
\(935\) 2.58603 6.58910i 0.0845722 0.215487i
\(936\) −4.45830 1.37520i −0.145724 0.0449500i
\(937\) 6.63291 29.0607i 0.216688 0.949371i −0.743218 0.669049i \(-0.766702\pi\)
0.959906 0.280322i \(-0.0904413\pi\)
\(938\) 2.03367 6.50080i 0.0664015 0.212259i
\(939\) −8.66387 37.9589i −0.282735 1.23874i
\(940\) 0.282771 3.77332i 0.00922298 0.123072i
\(941\) 9.63148 2.97092i 0.313977 0.0968492i −0.133762 0.991014i \(-0.542706\pi\)
0.447739 + 0.894164i \(0.352229\pi\)
\(942\) 0.0235674 + 0.314486i 0.000767868 + 0.0102465i
\(943\) 9.82121 + 25.0240i 0.319823 + 0.814895i
\(944\) 15.9521 + 7.68213i 0.519197 + 0.250032i
\(945\) −18.9550 + 10.8431i −0.616607 + 0.352726i
\(946\) 1.11672 0.537783i 0.0363076 0.0174848i
\(947\) 33.7262 + 31.2934i 1.09596 + 1.01690i 0.999768 + 0.0215351i \(0.00685538\pi\)
0.0961877 + 0.995363i \(0.469335\pi\)
\(948\) −15.9359 2.40195i −0.517574 0.0780117i
\(949\) 7.61920 + 13.1968i 0.247330 + 0.428388i
\(950\) −0.303626 + 0.525895i −0.00985092 + 0.0170623i
\(951\) 64.7321 81.1715i 2.09908 2.63217i
\(952\) 10.0785 2.25809i 0.326645 0.0731850i
\(953\) 36.8769 + 46.2422i 1.19456 + 1.49793i 0.821581 + 0.570091i \(0.193092\pi\)
0.372979 + 0.927840i \(0.378336\pi\)
\(954\) 4.31159 0.649867i 0.139593 0.0210402i
\(955\) 21.2411 + 14.4820i 0.687347 + 0.468625i
\(956\) −43.5139 29.6673i −1.40734 0.959508i
\(957\) −13.2358 + 1.99498i −0.427852 + 0.0644884i
\(958\) −4.59980 5.76797i −0.148613 0.186355i
\(959\) 7.87684 + 16.5247i 0.254356 + 0.533611i
\(960\) 12.9674 16.2606i 0.418520 0.524808i
\(961\) −3.80438 + 6.58937i −0.122722 + 0.212560i
\(962\) −0.632987 1.09637i −0.0204083 0.0353483i
\(963\) 85.1530 + 12.8347i 2.74402 + 0.413594i
\(964\) 43.4066 + 40.2755i 1.39803 + 1.29718i
\(965\) −7.53335 + 3.62787i −0.242507 + 0.116785i
\(966\) −6.83406 + 0.484736i −0.219882 + 0.0155961i
\(967\) −6.70889 3.23083i −0.215743 0.103897i 0.322891 0.946436i \(-0.395345\pi\)
−0.538634 + 0.842540i \(0.681060\pi\)
\(968\) 2.60977 + 6.64957i 0.0838810 + 0.213725i
\(969\) −0.799066 10.6628i −0.0256697 0.342538i
\(970\) −0.601414 + 0.185512i −0.0193102 + 0.00595642i
\(971\) −1.40572 + 18.7581i −0.0451118 + 0.601975i 0.928140 + 0.372232i \(0.121407\pi\)
−0.973251 + 0.229743i \(0.926212\pi\)
\(972\) 1.59628 + 6.99374i 0.0512006 + 0.224324i
\(973\) 18.1676 7.04674i 0.582425 0.225908i
\(974\) 0.731314 3.20409i 0.0234328 0.102666i
\(975\) 11.3341 + 3.49609i 0.362980 + 0.111965i
\(976\) −7.40378 + 18.8645i −0.236989 + 0.603838i
\(977\) 7.88341 7.31474i 0.252213 0.234019i −0.543926 0.839133i \(-0.683063\pi\)
0.796139 + 0.605114i \(0.206872\pi\)
\(978\) 0.895635 0.610633i 0.0286392 0.0195259i
\(979\) 2.08247 0.0665559
\(980\) 5.10669 12.7125i 0.163127 0.406085i
\(981\) −6.99135 −0.223217
\(982\) 3.30878 2.25589i 0.105587 0.0719882i
\(983\) 7.05476 6.54586i 0.225012 0.208780i −0.559608 0.828757i \(-0.689048\pi\)
0.784620 + 0.619977i \(0.212858\pi\)
\(984\) −5.47286 + 13.9446i −0.174468 + 0.444538i
\(985\) −12.4924 3.85340i −0.398042 0.122780i
\(986\) 0.677306 2.96747i 0.0215698 0.0945035i
\(987\) 15.1157 + 1.19342i 0.481139 + 0.0379870i
\(988\) −0.324705 1.42263i −0.0103303 0.0452598i
\(989\) −1.33310 + 17.7889i −0.0423900 + 0.565656i
\(990\) −1.64659 + 0.507905i −0.0523320 + 0.0161423i
\(991\) 0.979549 + 13.0712i 0.0311164 + 0.415220i 0.990911 + 0.134517i \(0.0429484\pi\)
−0.959795 + 0.280702i \(0.909433\pi\)
\(992\) −5.39594 13.7486i −0.171321 0.436519i
\(993\) 41.2884 + 19.8834i 1.31025 + 0.630982i
\(994\) −0.909839 + 5.87722i −0.0288583 + 0.186414i
\(995\) −13.9846 + 6.73462i −0.443341 + 0.213502i
\(996\) −61.6960 57.2455i −1.95491 1.81389i
\(997\) −2.17759 0.328219i −0.0689651 0.0103948i 0.114469 0.993427i \(-0.463483\pi\)
−0.183434 + 0.983032i \(0.558721\pi\)
\(998\) 2.37821 + 4.11919i 0.0752811 + 0.130391i
\(999\) 25.6680 44.4583i 0.812100 1.40660i
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 637.2.bl.b.625.15 yes 348
49.4 even 21 inner 637.2.bl.b.53.15 348
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
637.2.bl.b.53.15 348 49.4 even 21 inner
637.2.bl.b.625.15 yes 348 1.1 even 1 trivial