Properties

Label 430.2.q.c.31.3
Level $430$
Weight $2$
Character 430.31
Analytic conductor $3.434$
Analytic rank $0$
Dimension $48$
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(31,430)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(430, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([0, 34]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("430.31");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 430 = 2 \cdot 5 \cdot 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 430.q (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: \(3.43356728692\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(4\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 31.3
Character \(\chi\) \(=\) 430.31
Dual form 430.2.q.c.111.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.900969 - 0.433884i) q^{2} +(1.41868 - 0.967239i) q^{3} +(0.623490 - 0.781831i) q^{4} +(-0.733052 - 0.680173i) q^{5} +(0.858516 - 1.48699i) q^{6} +(-0.475578 - 0.823725i) q^{7} +(0.222521 - 0.974928i) q^{8} +(-0.0189247 + 0.0482195i) q^{9} +O(q^{10})\) \(q+(0.900969 - 0.433884i) q^{2} +(1.41868 - 0.967239i) q^{3} +(0.623490 - 0.781831i) q^{4} +(-0.733052 - 0.680173i) q^{5} +(0.858516 - 1.48699i) q^{6} +(-0.475578 - 0.823725i) q^{7} +(0.222521 - 0.974928i) q^{8} +(-0.0189247 + 0.0482195i) q^{9} +(-0.955573 - 0.294755i) q^{10} +(-1.16343 - 1.45889i) q^{11} +(0.128314 - 1.71223i) q^{12} +(5.50331 - 1.69755i) q^{13} +(-0.785882 - 0.535805i) q^{14} +(-1.69785 - 0.255910i) q^{15} +(-0.222521 - 0.974928i) q^{16} +(0.502269 - 0.466038i) q^{17} +(0.00387103 + 0.0516554i) q^{18} +(-0.423979 - 1.08028i) q^{19} +(-0.988831 + 0.149042i) q^{20} +(-1.47143 - 0.708604i) q^{21} +(-1.68120 - 0.809623i) q^{22} +(-2.70936 + 0.408370i) q^{23} +(-0.627302 - 1.59834i) q^{24} +(0.0747301 + 0.997204i) q^{25} +(4.22177 - 3.91723i) q^{26} +(1.16602 + 5.10866i) q^{27} +(-0.940532 - 0.141762i) q^{28} +(0.948464 + 0.646652i) q^{29} +(-1.64075 + 0.506104i) q^{30} +(-0.658205 + 8.78313i) q^{31} +(-0.623490 - 0.781831i) q^{32} +(-3.06162 - 0.944386i) q^{33} +(0.250323 - 0.637812i) q^{34} +(-0.211652 + 0.927308i) q^{35} +(0.0259001 + 0.0448603i) q^{36} +(-2.53376 + 4.38860i) q^{37} +(-0.850708 - 0.789342i) q^{38} +(6.16550 - 7.73129i) q^{39} +(-0.826239 + 0.563320i) q^{40} +(-3.09118 + 1.48864i) q^{41} -1.63316 q^{42} +(6.29979 + 1.82007i) q^{43} -1.86599 q^{44} +(0.0466704 - 0.0224753i) q^{45} +(-2.26386 + 1.54347i) q^{46} +(-2.95254 + 3.70236i) q^{47} +(-1.25867 - 1.16788i) q^{48} +(3.04765 - 5.27869i) q^{49} +(0.500000 + 0.866025i) q^{50} +(0.261789 - 1.14697i) q^{51} +(2.10406 - 5.36106i) q^{52} +(3.17668 + 0.979877i) q^{53} +(3.26711 + 4.09683i) q^{54} +(-0.139446 + 1.86077i) q^{55} +(-0.908898 + 0.280358i) q^{56} +(-1.64638 - 1.12248i) q^{57} +(1.13511 + 0.171090i) q^{58} +(1.43679 + 6.29500i) q^{59} +(-1.25867 + 1.16788i) q^{60} +(-0.0511369 - 0.682375i) q^{61} +(3.21784 + 8.19891i) q^{62} +(0.0487198 - 0.00734332i) q^{63} +(-0.900969 - 0.433884i) q^{64} +(-5.18884 - 2.49881i) q^{65} +(-3.16818 + 0.477526i) q^{66} +(0.390742 + 0.995595i) q^{67} +(-0.0512032 - 0.683259i) q^{68} +(-3.44872 + 3.19994i) q^{69} +(0.211652 + 0.927308i) q^{70} +(-2.22669 - 0.335619i) q^{71} +(0.0427993 + 0.0291801i) q^{72} +(0.0726622 - 0.0224133i) q^{73} +(-0.378696 + 5.05335i) q^{74} +(1.07055 + 1.34243i) q^{75} +(-1.10894 - 0.342064i) q^{76} +(-0.648425 + 1.65216i) q^{77} +(2.20044 - 9.64076i) q^{78} +(-5.92978 - 10.2707i) q^{79} +(-0.500000 + 0.866025i) q^{80} +(6.48158 + 6.01403i) q^{81} +(-2.13917 + 2.68243i) q^{82} +(4.78609 - 3.26310i) q^{83} +(-1.47143 + 0.708604i) q^{84} -0.685175 q^{85} +(6.46561 - 1.09355i) q^{86} +1.97103 q^{87} +(-1.68120 + 0.809623i) q^{88} +(7.28376 - 4.96598i) q^{89} +(0.0322969 - 0.0404990i) q^{90} +(-4.01556 - 3.72590i) q^{91} +(-1.36998 + 2.37287i) q^{92} +(7.56160 + 13.0971i) q^{93} +(-1.05375 + 4.61677i) q^{94} +(-0.423979 + 1.08028i) q^{95} +(-1.64075 - 0.506104i) q^{96} +(6.39805 + 8.02290i) q^{97} +(0.455503 - 6.07826i) q^{98} +(0.0923644 - 0.0284907i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48 q + 8 q^{2} - 7 q^{3} - 8 q^{4} + 4 q^{5} + 7 q^{6} - 3 q^{7} + 8 q^{8} + 13 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 48 q + 8 q^{2} - 7 q^{3} - 8 q^{4} + 4 q^{5} + 7 q^{6} - 3 q^{7} + 8 q^{8} + 13 q^{9} - 4 q^{10} + q^{11} + 14 q^{12} - 23 q^{13} + 24 q^{14} - 8 q^{16} + 8 q^{17} - 20 q^{18} - 3 q^{19} + 4 q^{20} - 8 q^{21} - q^{22} + 7 q^{23} + 4 q^{25} - 19 q^{26} + 32 q^{27} + 4 q^{28} + 30 q^{29} + 9 q^{31} + 8 q^{32} + 39 q^{33} - 8 q^{34} - 22 q^{35} - 29 q^{36} - 37 q^{37} - 11 q^{38} - 52 q^{39} - 4 q^{40} - 28 q^{41} - 6 q^{42} + 41 q^{43} + 8 q^{44} + 2 q^{45} - 28 q^{46} + 3 q^{47} - 41 q^{49} + 24 q^{50} - 30 q^{51} - 9 q^{52} - 69 q^{53} + 3 q^{54} + 10 q^{55} - 11 q^{56} + 116 q^{57} + 5 q^{58} + 10 q^{59} - 19 q^{61} - 93 q^{62} + 34 q^{63} - 8 q^{64} - 3 q^{65} - 18 q^{66} + 3 q^{67} + 8 q^{68} + 42 q^{69} + 22 q^{70} - 36 q^{71} + 22 q^{72} - 56 q^{73} + 9 q^{74} - 10 q^{76} + 3 q^{77} + 45 q^{78} + 16 q^{79} - 24 q^{80} - 19 q^{81} + 14 q^{82} + 64 q^{83} - 8 q^{84} - 30 q^{85} + 36 q^{86} + 78 q^{87} - q^{88} - 75 q^{89} + 5 q^{90} + 5 q^{91} + 14 q^{92} - 10 q^{93} - 45 q^{94} - 3 q^{95} + 33 q^{97} - q^{98} - 11 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(87\) \(261\)
\(\chi(n)\) \(1\) \(e\left(\frac{17}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.900969 0.433884i 0.637081 0.306802i
\(3\) 1.41868 0.967239i 0.819074 0.558436i −0.0797141 0.996818i \(-0.525401\pi\)
0.898789 + 0.438382i \(0.144448\pi\)
\(4\) 0.623490 0.781831i 0.311745 0.390916i
\(5\) −0.733052 0.680173i −0.327831 0.304182i
\(6\) 0.858516 1.48699i 0.350488 0.607063i
\(7\) −0.475578 0.823725i −0.179752 0.311339i 0.762044 0.647525i \(-0.224196\pi\)
−0.941795 + 0.336187i \(0.890863\pi\)
\(8\) 0.222521 0.974928i 0.0786730 0.344689i
\(9\) −0.0189247 + 0.0482195i −0.00630825 + 0.0160732i
\(10\) −0.955573 0.294755i −0.302179 0.0932098i
\(11\) −1.16343 1.45889i −0.350786 0.439872i 0.574866 0.818248i \(-0.305054\pi\)
−0.925652 + 0.378376i \(0.876483\pi\)
\(12\) 0.128314 1.71223i 0.0370411 0.494279i
\(13\) 5.50331 1.69755i 1.52634 0.470815i 0.585791 0.810462i \(-0.300784\pi\)
0.940553 + 0.339648i \(0.110308\pi\)
\(14\) −0.785882 0.535805i −0.210036 0.143200i
\(15\) −1.69785 0.255910i −0.438384 0.0660758i
\(16\) −0.222521 0.974928i −0.0556302 0.243732i
\(17\) 0.502269 0.466038i 0.121818 0.113031i −0.616912 0.787032i \(-0.711616\pi\)
0.738730 + 0.674002i \(0.235426\pi\)
\(18\) 0.00387103 + 0.0516554i 0.000912412 + 0.0121753i
\(19\) −0.423979 1.08028i −0.0972675 0.247833i 0.873955 0.486006i \(-0.161547\pi\)
−0.971223 + 0.238173i \(0.923452\pi\)
\(20\) −0.988831 + 0.149042i −0.221109 + 0.0333269i
\(21\) −1.47143 0.708604i −0.321093 0.154630i
\(22\) −1.68120 0.809623i −0.358433 0.172612i
\(23\) −2.70936 + 0.408370i −0.564940 + 0.0851510i −0.425302 0.905052i \(-0.639832\pi\)
−0.139638 + 0.990203i \(0.544594\pi\)
\(24\) −0.627302 1.59834i −0.128048 0.326260i
\(25\) 0.0747301 + 0.997204i 0.0149460 + 0.199441i
\(26\) 4.22177 3.91723i 0.827958 0.768233i
\(27\) 1.16602 + 5.10866i 0.224400 + 0.983162i
\(28\) −0.940532 0.141762i −0.177744 0.0267906i
\(29\) 0.948464 + 0.646652i 0.176125 + 0.120080i 0.648174 0.761492i \(-0.275533\pi\)
−0.472049 + 0.881573i \(0.656485\pi\)
\(30\) −1.64075 + 0.506104i −0.299558 + 0.0924016i
\(31\) −0.658205 + 8.78313i −0.118217 + 1.57750i 0.551048 + 0.834473i \(0.314228\pi\)
−0.669265 + 0.743024i \(0.733391\pi\)
\(32\) −0.623490 0.781831i −0.110218 0.138210i
\(33\) −3.06162 0.944386i −0.532960 0.164396i
\(34\) 0.250323 0.637812i 0.0429300 0.109384i
\(35\) −0.211652 + 0.927308i −0.0357757 + 0.156744i
\(36\) 0.0259001 + 0.0448603i 0.00431668 + 0.00747672i
\(37\) −2.53376 + 4.38860i −0.416547 + 0.721481i −0.995589 0.0938166i \(-0.970093\pi\)
0.579042 + 0.815298i \(0.303427\pi\)
\(38\) −0.850708 0.789342i −0.138003 0.128048i
\(39\) 6.16550 7.73129i 0.987269 1.23800i
\(40\) −0.826239 + 0.563320i −0.130640 + 0.0890687i
\(41\) −3.09118 + 1.48864i −0.482762 + 0.232486i −0.659403 0.751789i \(-0.729191\pi\)
0.176641 + 0.984275i \(0.443477\pi\)
\(42\) −1.63316 −0.252003
\(43\) 6.29979 + 1.82007i 0.960709 + 0.277559i
\(44\) −1.86599 −0.281309
\(45\) 0.0466704 0.0224753i 0.00695721 0.00335042i
\(46\) −2.26386 + 1.54347i −0.333788 + 0.227573i
\(47\) −2.95254 + 3.70236i −0.430672 + 0.540045i −0.949058 0.315101i \(-0.897961\pi\)
0.518386 + 0.855146i \(0.326533\pi\)
\(48\) −1.25867 1.16788i −0.181674 0.168569i
\(49\) 3.04765 5.27869i 0.435379 0.754098i
\(50\) 0.500000 + 0.866025i 0.0707107 + 0.122474i
\(51\) 0.261789 1.14697i 0.0366578 0.160608i
\(52\) 2.10406 5.36106i 0.291781 0.743446i
\(53\) 3.17668 + 0.979877i 0.436351 + 0.134596i 0.505145 0.863034i \(-0.331439\pi\)
−0.0687941 + 0.997631i \(0.521915\pi\)
\(54\) 3.26711 + 4.09683i 0.444598 + 0.557508i
\(55\) −0.139446 + 1.86077i −0.0188029 + 0.250907i
\(56\) −0.908898 + 0.280358i −0.121457 + 0.0374644i
\(57\) −1.64638 1.12248i −0.218068 0.148676i
\(58\) 1.13511 + 0.171090i 0.149047 + 0.0224652i
\(59\) 1.43679 + 6.29500i 0.187054 + 0.819539i 0.978159 + 0.207858i \(0.0666492\pi\)
−0.791105 + 0.611681i \(0.790494\pi\)
\(60\) −1.25867 + 1.16788i −0.162494 + 0.150772i
\(61\) −0.0511369 0.682375i −0.00654742 0.0873692i 0.992973 0.118343i \(-0.0377582\pi\)
−0.999520 + 0.0309738i \(0.990139\pi\)
\(62\) 3.21784 + 8.19891i 0.408666 + 1.04126i
\(63\) 0.0487198 0.00734332i 0.00613811 0.000925171i
\(64\) −0.900969 0.433884i −0.112621 0.0542355i
\(65\) −5.18884 2.49881i −0.643596 0.309939i
\(66\) −3.16818 + 0.477526i −0.389976 + 0.0587794i
\(67\) 0.390742 + 0.995595i 0.0477368 + 0.121631i 0.952753 0.303745i \(-0.0982370\pi\)
−0.905017 + 0.425376i \(0.860142\pi\)
\(68\) −0.0512032 0.683259i −0.00620930 0.0828574i
\(69\) −3.44872 + 3.19994i −0.415177 + 0.385228i
\(70\) 0.211652 + 0.927308i 0.0252973 + 0.110835i
\(71\) −2.22669 0.335619i −0.264259 0.0398307i 0.0155761 0.999879i \(-0.495042\pi\)
−0.279835 + 0.960048i \(0.590280\pi\)
\(72\) 0.0427993 + 0.0291801i 0.00504395 + 0.00343891i
\(73\) 0.0726622 0.0224133i 0.00850447 0.00262328i −0.290500 0.956875i \(-0.593822\pi\)
0.299004 + 0.954252i \(0.403345\pi\)
\(74\) −0.378696 + 5.05335i −0.0440225 + 0.587440i
\(75\) 1.07055 + 1.34243i 0.123617 + 0.155010i
\(76\) −1.10894 0.342064i −0.127205 0.0392374i
\(77\) −0.648425 + 1.65216i −0.0738948 + 0.188281i
\(78\) 2.20044 9.64076i 0.249151 1.09160i
\(79\) −5.92978 10.2707i −0.667153 1.15554i −0.978697 0.205311i \(-0.934180\pi\)
0.311544 0.950232i \(-0.399154\pi\)
\(80\) −0.500000 + 0.866025i −0.0559017 + 0.0968246i
\(81\) 6.48158 + 6.01403i 0.720176 + 0.668226i
\(82\) −2.13917 + 2.68243i −0.236231 + 0.296225i
\(83\) 4.78609 3.26310i 0.525342 0.358172i −0.271424 0.962460i \(-0.587495\pi\)
0.796766 + 0.604288i \(0.206542\pi\)
\(84\) −1.47143 + 0.708604i −0.160546 + 0.0773150i
\(85\) −0.685175 −0.0743177
\(86\) 6.46561 1.09355i 0.697205 0.117920i
\(87\) 1.97103 0.211317
\(88\) −1.68120 + 0.809623i −0.179216 + 0.0863061i
\(89\) 7.28376 4.96598i 0.772077 0.526393i −0.112015 0.993707i \(-0.535730\pi\)
0.884092 + 0.467314i \(0.154778\pi\)
\(90\) 0.0322969 0.0404990i 0.00340439 0.00426897i
\(91\) −4.01556 3.72590i −0.420945 0.390580i
\(92\) −1.36998 + 2.37287i −0.142830 + 0.247389i
\(93\) 7.56160 + 13.0971i 0.784102 + 1.35810i
\(94\) −1.05375 + 4.61677i −0.108686 + 0.476184i
\(95\) −0.423979 + 1.08028i −0.0434993 + 0.110834i
\(96\) −1.64075 0.506104i −0.167458 0.0516540i
\(97\) 6.39805 + 8.02290i 0.649624 + 0.814602i 0.992169 0.124899i \(-0.0398606\pi\)
−0.342546 + 0.939501i \(0.611289\pi\)
\(98\) 0.455503 6.07826i 0.0460127 0.613997i
\(99\) 0.0923644 0.0284907i 0.00928298 0.00286342i
\(100\) 0.826239 + 0.563320i 0.0826239 + 0.0563320i
\(101\) −14.3181 2.15810i −1.42470 0.214739i −0.608982 0.793184i \(-0.708422\pi\)
−0.815721 + 0.578445i \(0.803660\pi\)
\(102\) −0.261789 1.14697i −0.0259209 0.113567i
\(103\) −5.28939 + 4.90784i −0.521179 + 0.483584i −0.896335 0.443378i \(-0.853780\pi\)
0.375155 + 0.926962i \(0.377589\pi\)
\(104\) −0.430384 5.74307i −0.0422026 0.563154i
\(105\) 0.596662 + 1.52027i 0.0582283 + 0.148363i
\(106\) 3.28725 0.495473i 0.319286 0.0481245i
\(107\) −10.0740 4.85139i −0.973892 0.469002i −0.121892 0.992543i \(-0.538896\pi\)
−0.852000 + 0.523542i \(0.824610\pi\)
\(108\) 4.72111 + 2.27357i 0.454289 + 0.218774i
\(109\) 14.9695 2.25629i 1.43382 0.216113i 0.614258 0.789106i \(-0.289456\pi\)
0.819561 + 0.572992i \(0.194218\pi\)
\(110\) 0.681723 + 1.73700i 0.0649997 + 0.165617i
\(111\) 0.650233 + 8.67676i 0.0617174 + 0.823561i
\(112\) −0.697246 + 0.646950i −0.0658836 + 0.0611310i
\(113\) −1.29892 5.69095i −0.122192 0.535360i −0.998557 0.0537107i \(-0.982895\pi\)
0.876364 0.481649i \(-0.159962\pi\)
\(114\) −1.97036 0.296985i −0.184541 0.0278151i
\(115\) 2.26386 + 1.54347i 0.211106 + 0.143930i
\(116\) 1.09693 0.338358i 0.101847 0.0314158i
\(117\) −0.0222940 + 0.297492i −0.00206108 + 0.0275032i
\(118\) 4.02580 + 5.04820i 0.370605 + 0.464724i
\(119\) −0.622755 0.192094i −0.0570878 0.0176093i
\(120\) −0.627302 + 1.59834i −0.0572646 + 0.145908i
\(121\) 1.67293 7.32958i 0.152085 0.666326i
\(122\) −0.342144 0.592611i −0.0309763 0.0536525i
\(123\) −2.94553 + 5.10181i −0.265590 + 0.460015i
\(124\) 6.45655 + 5.99080i 0.579815 + 0.537990i
\(125\) 0.623490 0.781831i 0.0557666 0.0699291i
\(126\) 0.0407088 0.0277548i 0.00362663 0.00247260i
\(127\) −19.4985 + 9.39000i −1.73021 + 0.833228i −0.743913 + 0.668276i \(0.767032\pi\)
−0.986302 + 0.164951i \(0.947253\pi\)
\(128\) −1.00000 −0.0883883
\(129\) 10.6978 3.51130i 0.941891 0.309153i
\(130\) −5.75917 −0.505113
\(131\) −6.76723 + 3.25892i −0.591255 + 0.284734i −0.705490 0.708720i \(-0.749273\pi\)
0.114234 + 0.993454i \(0.463559\pi\)
\(132\) −2.64724 + 1.80486i −0.230413 + 0.157093i
\(133\) −0.688219 + 0.863000i −0.0596762 + 0.0748316i
\(134\) 0.784019 + 0.727463i 0.0677289 + 0.0628433i
\(135\) 2.62002 4.53801i 0.225495 0.390569i
\(136\) −0.342588 0.593379i −0.0293766 0.0508818i
\(137\) −3.73944 + 16.3836i −0.319482 + 1.39974i 0.518981 + 0.854786i \(0.326311\pi\)
−0.838463 + 0.544958i \(0.816546\pi\)
\(138\) −1.71878 + 4.37939i −0.146313 + 0.372798i
\(139\) 0.0500351 + 0.0154338i 0.00424392 + 0.00130908i 0.296876 0.954916i \(-0.404055\pi\)
−0.292632 + 0.956225i \(0.594531\pi\)
\(140\) 0.593036 + 0.743643i 0.0501207 + 0.0628493i
\(141\) −0.607631 + 8.10827i −0.0511717 + 0.682839i
\(142\) −2.15180 + 0.663741i −0.180575 + 0.0556999i
\(143\) −8.87923 6.05376i −0.742518 0.506240i
\(144\) 0.0512216 + 0.00772042i 0.00426847 + 0.000643368i
\(145\) −0.255438 1.11915i −0.0212130 0.0929403i
\(146\) 0.0557416 0.0517207i 0.00461321 0.00428043i
\(147\) −0.782113 10.4366i −0.0645076 0.860794i
\(148\) 1.85137 + 4.71722i 0.152182 + 0.387753i
\(149\) 3.36249 0.506814i 0.275466 0.0415199i −0.00985625 0.999951i \(-0.503137\pi\)
0.285322 + 0.958432i \(0.407899\pi\)
\(150\) 1.54699 + 0.744992i 0.126311 + 0.0608284i
\(151\) 5.11318 + 2.46238i 0.416105 + 0.200386i 0.630209 0.776425i \(-0.282969\pi\)
−0.214104 + 0.976811i \(0.568683\pi\)
\(152\) −1.14754 + 0.172964i −0.0930778 + 0.0140292i
\(153\) 0.0129668 + 0.0330388i 0.00104830 + 0.00267103i
\(154\) 0.132635 + 1.76988i 0.0106880 + 0.142621i
\(155\) 6.45655 5.99080i 0.518602 0.481193i
\(156\) −2.20044 9.64076i −0.176176 0.771878i
\(157\) −8.23351 1.24100i −0.657106 0.0990427i −0.187978 0.982173i \(-0.560193\pi\)
−0.469127 + 0.883130i \(0.655432\pi\)
\(158\) −9.79883 6.68073i −0.779553 0.531490i
\(159\) 5.45447 1.68248i 0.432567 0.133429i
\(160\) −0.0747301 + 0.997204i −0.00590793 + 0.0788359i
\(161\) 1.62489 + 2.03755i 0.128060 + 0.160582i
\(162\) 8.44909 + 2.60620i 0.663824 + 0.204762i
\(163\) 0.124792 0.317964i 0.00977445 0.0249049i −0.925903 0.377761i \(-0.876694\pi\)
0.935678 + 0.352856i \(0.114789\pi\)
\(164\) −0.763459 + 3.34493i −0.0596162 + 0.261195i
\(165\) 1.60198 + 2.77472i 0.124714 + 0.216011i
\(166\) 2.89631 5.01656i 0.224798 0.389361i
\(167\) −18.3071 16.9865i −1.41665 1.31446i −0.883496 0.468439i \(-0.844817\pi\)
−0.533153 0.846019i \(-0.678993\pi\)
\(168\) −1.01826 + 1.27686i −0.0785606 + 0.0985119i
\(169\) 16.6636 11.3611i 1.28182 0.873929i
\(170\) −0.617322 + 0.297286i −0.0473464 + 0.0228008i
\(171\) 0.0601142 0.00459705
\(172\) 5.35084 3.79058i 0.407998 0.289029i
\(173\) −9.09848 −0.691745 −0.345872 0.938282i \(-0.612417\pi\)
−0.345872 + 0.938282i \(0.612417\pi\)
\(174\) 1.77584 0.855199i 0.134626 0.0648325i
\(175\) 0.785882 0.535805i 0.0594071 0.0405031i
\(176\) −1.16343 + 1.45889i −0.0876966 + 0.109968i
\(177\) 8.12711 + 7.54086i 0.610871 + 0.566805i
\(178\) 4.40778 7.63450i 0.330377 0.572230i
\(179\) −2.80218 4.85353i −0.209445 0.362770i 0.742095 0.670295i \(-0.233832\pi\)
−0.951540 + 0.307525i \(0.900499\pi\)
\(180\) 0.0115266 0.0505015i 0.000859144 0.00376416i
\(181\) 4.36885 11.1316i 0.324734 0.827409i −0.671524 0.740983i \(-0.734360\pi\)
0.996258 0.0864262i \(-0.0275447\pi\)
\(182\) −5.23450 1.61463i −0.388007 0.119684i
\(183\) −0.732567 0.918609i −0.0541529 0.0679056i
\(184\) −0.204757 + 2.73230i −0.0150949 + 0.201428i
\(185\) 4.84238 1.49368i 0.356019 0.109817i
\(186\) 12.4954 + 8.51921i 0.916206 + 0.624659i
\(187\) −1.26425 0.190555i −0.0924512 0.0139348i
\(188\) 1.05375 + 4.61677i 0.0768525 + 0.336713i
\(189\) 3.65360 3.39004i 0.265760 0.246589i
\(190\) 0.0867244 + 1.15726i 0.00629165 + 0.0839563i
\(191\) −5.23965 13.3504i −0.379127 0.966001i −0.985325 0.170687i \(-0.945401\pi\)
0.606198 0.795314i \(-0.292694\pi\)
\(192\) −1.69785 + 0.255910i −0.122532 + 0.0184687i
\(193\) 4.45210 + 2.14402i 0.320469 + 0.154330i 0.587202 0.809441i \(-0.300230\pi\)
−0.266732 + 0.963771i \(0.585944\pi\)
\(194\) 9.24545 + 4.45237i 0.663785 + 0.319662i
\(195\) −9.77824 + 1.47383i −0.700234 + 0.105543i
\(196\) −2.22686 5.67396i −0.159062 0.405283i
\(197\) 1.65472 + 22.0807i 0.117894 + 1.57318i 0.671883 + 0.740658i \(0.265486\pi\)
−0.553989 + 0.832524i \(0.686895\pi\)
\(198\) 0.0708558 0.0657446i 0.00503551 0.00467227i
\(199\) −3.43838 15.0645i −0.243740 1.06790i −0.937581 0.347767i \(-0.886940\pi\)
0.693841 0.720128i \(-0.255917\pi\)
\(200\) 0.988831 + 0.149042i 0.0699209 + 0.0105389i
\(201\) 1.51732 + 1.03449i 0.107023 + 0.0729672i
\(202\) −13.8365 + 4.26800i −0.973534 + 0.300295i
\(203\) 0.0815948 1.08881i 0.00572683 0.0764193i
\(204\) −0.733516 0.919800i −0.0513564 0.0643989i
\(205\) 3.27853 + 1.01129i 0.228982 + 0.0706317i
\(206\) −2.63615 + 6.71679i −0.183669 + 0.467981i
\(207\) 0.0315825 0.138372i 0.00219514 0.00961752i
\(208\) −2.87959 4.98759i −0.199663 0.345827i
\(209\) −1.08274 + 1.87537i −0.0748949 + 0.129722i
\(210\) 1.19719 + 1.11083i 0.0826143 + 0.0766548i
\(211\) −1.75065 + 2.19525i −0.120520 + 0.151127i −0.838431 0.545007i \(-0.816527\pi\)
0.717911 + 0.696135i \(0.245098\pi\)
\(212\) 2.74673 1.87269i 0.188646 0.128617i
\(213\) −3.48358 + 1.67760i −0.238691 + 0.114947i
\(214\) −11.1813 −0.764339
\(215\) −3.38011 5.61915i −0.230521 0.383223i
\(216\) 5.24004 0.356540
\(217\) 7.54791 3.63488i 0.512386 0.246752i
\(218\) 12.5081 8.52787i 0.847155 0.577580i
\(219\) 0.0814053 0.102079i 0.00550086 0.00689786i
\(220\) 1.36787 + 1.26920i 0.0922216 + 0.0855692i
\(221\) 1.97302 3.41737i 0.132720 0.229877i
\(222\) 4.35054 + 7.53536i 0.291989 + 0.505740i
\(223\) −1.42435 + 6.24046i −0.0953812 + 0.417892i −0.999965 0.00840415i \(-0.997325\pi\)
0.904583 + 0.426297i \(0.140182\pi\)
\(224\) −0.347496 + 0.885406i −0.0232181 + 0.0591587i
\(225\) −0.0494989 0.0152684i −0.00329992 0.00101789i
\(226\) −3.63950 4.56379i −0.242096 0.303579i
\(227\) 2.20327 29.4005i 0.146236 1.95138i −0.132896 0.991130i \(-0.542427\pi\)
0.279131 0.960253i \(-0.409953\pi\)
\(228\) −1.90409 + 0.587335i −0.126102 + 0.0388972i
\(229\) −8.99291 6.13126i −0.594268 0.405165i 0.228499 0.973544i \(-0.426618\pi\)
−0.822767 + 0.568379i \(0.807571\pi\)
\(230\) 2.70936 + 0.408370i 0.178650 + 0.0269271i
\(231\) 0.678126 + 2.97106i 0.0446174 + 0.195482i
\(232\) 0.841492 0.780791i 0.0552467 0.0512614i
\(233\) −1.82873 24.4027i −0.119804 1.59868i −0.656119 0.754657i \(-0.727803\pi\)
0.536315 0.844018i \(-0.319816\pi\)
\(234\) 0.108991 + 0.277704i 0.00712496 + 0.0181541i
\(235\) 4.68261 0.705790i 0.305460 0.0460406i
\(236\) 5.81745 + 2.80154i 0.378684 + 0.182365i
\(237\) −18.3467 8.83528i −1.19174 0.573913i
\(238\) −0.644429 + 0.0971321i −0.0417721 + 0.00629614i
\(239\) 7.07758 + 18.0334i 0.457811 + 1.16648i 0.954409 + 0.298502i \(0.0964870\pi\)
−0.496598 + 0.867981i \(0.665418\pi\)
\(240\) 0.128314 + 1.71223i 0.00828263 + 0.110524i
\(241\) 21.0859 19.5648i 1.35826 1.26028i 0.423090 0.906088i \(-0.360946\pi\)
0.935172 0.354195i \(-0.115245\pi\)
\(242\) −1.67293 7.32958i −0.107540 0.471164i
\(243\) −0.532251 0.0802239i −0.0341439 0.00514637i
\(244\) −0.565386 0.385473i −0.0361951 0.0246774i
\(245\) −5.82451 + 1.79662i −0.372114 + 0.114782i
\(246\) −0.440240 + 5.87459i −0.0280687 + 0.374550i
\(247\) −4.16711 5.22540i −0.265147 0.332484i
\(248\) 8.41646 + 2.59613i 0.534446 + 0.164855i
\(249\) 3.63373 9.25859i 0.230278 0.586739i
\(250\) 0.222521 0.974928i 0.0140735 0.0616599i
\(251\) 2.86195 + 4.95704i 0.180645 + 0.312886i 0.942100 0.335331i \(-0.108848\pi\)
−0.761456 + 0.648217i \(0.775515\pi\)
\(252\) 0.0246350 0.0426691i 0.00155186 0.00268790i
\(253\) 3.74790 + 3.47755i 0.235629 + 0.218631i
\(254\) −13.4934 + 16.9202i −0.846651 + 1.06167i
\(255\) −0.972043 + 0.662728i −0.0608717 + 0.0415016i
\(256\) −0.900969 + 0.433884i −0.0563106 + 0.0271177i
\(257\) 4.73674 0.295470 0.147735 0.989027i \(-0.452802\pi\)
0.147735 + 0.989027i \(0.452802\pi\)
\(258\) 8.11491 7.80518i 0.505212 0.485929i
\(259\) 4.82000 0.299500
\(260\) −5.18884 + 2.49881i −0.321798 + 0.154970i
\(261\) −0.0491306 + 0.0334967i −0.00304111 + 0.00207339i
\(262\) −4.68307 + 5.87238i −0.289321 + 0.362797i
\(263\) −10.9710 10.1796i −0.676501 0.627701i 0.265184 0.964198i \(-0.414567\pi\)
−0.941685 + 0.336497i \(0.890758\pi\)
\(264\) −1.60198 + 2.77472i −0.0985953 + 0.170772i
\(265\) −1.66219 2.87899i −0.102107 0.176855i
\(266\) −0.245623 + 1.07614i −0.0150601 + 0.0659826i
\(267\) 5.53002 14.0903i 0.338432 0.862310i
\(268\) 1.02201 + 0.315249i 0.0624293 + 0.0192569i
\(269\) −19.7149 24.7217i −1.20204 1.50731i −0.809019 0.587782i \(-0.800001\pi\)
−0.393022 0.919529i \(-0.628570\pi\)
\(270\) 0.391589 5.22539i 0.0238313 0.318007i
\(271\) 3.19849 0.986604i 0.194295 0.0599319i −0.196081 0.980588i \(-0.562821\pi\)
0.390375 + 0.920656i \(0.372345\pi\)
\(272\) −0.566118 0.385973i −0.0343260 0.0234030i
\(273\) −9.30063 1.40184i −0.562899 0.0848434i
\(274\) 3.73944 + 16.3836i 0.225908 + 0.989768i
\(275\) 1.36787 1.26920i 0.0824855 0.0765354i
\(276\) 0.351575 + 4.69144i 0.0211623 + 0.282392i
\(277\) 6.49886 + 16.5588i 0.390479 + 0.994924i 0.982042 + 0.188665i \(0.0604160\pi\)
−0.591563 + 0.806259i \(0.701489\pi\)
\(278\) 0.0517766 0.00780406i 0.00310535 0.000468057i
\(279\) −0.411061 0.197957i −0.0246096 0.0118514i
\(280\) 0.856962 + 0.412691i 0.0512133 + 0.0246630i
\(281\) 20.7805 3.13215i 1.23966 0.186848i 0.503702 0.863877i \(-0.331971\pi\)
0.735956 + 0.677029i \(0.236733\pi\)
\(282\) 2.97059 + 7.56894i 0.176896 + 0.450724i
\(283\) 1.01739 + 13.5761i 0.0604774 + 0.807014i 0.942158 + 0.335168i \(0.108793\pi\)
−0.881681 + 0.471846i \(0.843588\pi\)
\(284\) −1.65072 + 1.53164i −0.0979519 + 0.0908861i
\(285\) 0.443400 + 1.94266i 0.0262647 + 0.115073i
\(286\) −10.6265 1.60169i −0.628360 0.0947101i
\(287\) 2.69633 + 1.83832i 0.159159 + 0.108513i
\(288\) 0.0494989 0.0152684i 0.00291675 0.000899698i
\(289\) −1.23533 + 16.4843i −0.0726664 + 0.969665i
\(290\) −0.715723 0.897488i −0.0420287 0.0527023i
\(291\) 16.8368 + 5.19348i 0.986993 + 0.304447i
\(292\) 0.0277807 0.0707841i 0.00162574 0.00414233i
\(293\) −2.91442 + 12.7689i −0.170262 + 0.745968i 0.815628 + 0.578577i \(0.196392\pi\)
−0.985890 + 0.167392i \(0.946466\pi\)
\(294\) −5.23292 9.06368i −0.305190 0.528604i
\(295\) 3.22844 5.59183i 0.187967 0.325569i
\(296\) 3.71475 + 3.44679i 0.215916 + 0.200340i
\(297\) 6.09640 7.64464i 0.353749 0.443587i
\(298\) 2.80960 1.91556i 0.162756 0.110965i
\(299\) −14.2172 + 6.84664i −0.822202 + 0.395952i
\(300\) 1.71703 0.0991329
\(301\) −1.49680 6.05488i −0.0862741 0.348997i
\(302\) 5.67521 0.326571
\(303\) −22.4002 + 10.7874i −1.28686 + 0.619717i
\(304\) −0.958852 + 0.653734i −0.0549939 + 0.0374942i
\(305\) −0.426647 + 0.534998i −0.0244297 + 0.0306339i
\(306\) 0.0260176 + 0.0241408i 0.00148733 + 0.00138004i
\(307\) 7.68618 13.3129i 0.438674 0.759805i −0.558914 0.829226i \(-0.688782\pi\)
0.997587 + 0.0694208i \(0.0221151\pi\)
\(308\) 0.887424 + 1.53706i 0.0505657 + 0.0875823i
\(309\) −2.75690 + 12.0788i −0.156834 + 0.687136i
\(310\) 3.21784 8.19891i 0.182761 0.465667i
\(311\) −8.74566 2.69768i −0.495921 0.152971i 0.0366982 0.999326i \(-0.488316\pi\)
−0.532619 + 0.846355i \(0.678792\pi\)
\(312\) −6.16550 7.73129i −0.349052 0.437698i
\(313\) −0.298613 + 3.98471i −0.0168786 + 0.225229i 0.982385 + 0.186867i \(0.0598332\pi\)
−0.999264 + 0.0383625i \(0.987786\pi\)
\(314\) −7.95659 + 2.45428i −0.449016 + 0.138503i
\(315\) −0.0407088 0.0277548i −0.00229368 0.00156381i
\(316\) −11.7271 1.76758i −0.659701 0.0994339i
\(317\) 4.72892 + 20.7188i 0.265603 + 1.16368i 0.915071 + 0.403293i \(0.132135\pi\)
−0.649468 + 0.760389i \(0.725008\pi\)
\(318\) 4.18430 3.88247i 0.234644 0.217718i
\(319\) −0.160074 2.13604i −0.00896242 0.119595i
\(320\) 0.365341 + 0.930874i 0.0204232 + 0.0520374i
\(321\) −18.9843 + 2.86142i −1.05960 + 0.159709i
\(322\) 2.34804 + 1.13076i 0.130851 + 0.0630146i
\(323\) −0.716403 0.345001i −0.0398617 0.0191964i
\(324\) 8.74316 1.31782i 0.485731 0.0732122i
\(325\) 2.10406 + 5.36106i 0.116712 + 0.297378i
\(326\) −0.0255260 0.340621i −0.00141376 0.0188653i
\(327\) 19.0545 17.6800i 1.05372 0.977708i
\(328\) 0.763459 + 3.34493i 0.0421550 + 0.184693i
\(329\) 4.45389 + 0.671316i 0.245551 + 0.0370108i
\(330\) 2.64724 + 1.80486i 0.145726 + 0.0993542i
\(331\) 1.90101 0.586383i 0.104489 0.0322305i −0.242070 0.970259i \(-0.577826\pi\)
0.346559 + 0.938028i \(0.387350\pi\)
\(332\) 0.432884 5.77643i 0.0237576 0.317023i
\(333\) −0.163665 0.205229i −0.00896879 0.0112465i
\(334\) −23.8643 7.36118i −1.30580 0.402786i
\(335\) 0.390742 0.995595i 0.0213485 0.0543952i
\(336\) −0.363413 + 1.59222i −0.0198258 + 0.0868626i
\(337\) 13.6204 + 23.5912i 0.741948 + 1.28509i 0.951607 + 0.307318i \(0.0994314\pi\)
−0.209659 + 0.977775i \(0.567235\pi\)
\(338\) 10.0840 17.4661i 0.548499 0.950029i
\(339\) −7.34726 6.81726i −0.399049 0.370263i
\(340\) −0.427200 + 0.535692i −0.0231682 + 0.0290520i
\(341\) 13.5794 9.25828i 0.735366 0.501364i
\(342\) 0.0541611 0.0260826i 0.00292870 0.00141039i
\(343\) −12.4557 −0.672543
\(344\) 3.17627 5.73684i 0.171253 0.309309i
\(345\) 4.70460 0.253287
\(346\) −8.19745 + 3.94768i −0.440698 + 0.212229i
\(347\) 8.52156 5.80990i 0.457461 0.311892i −0.312574 0.949893i \(-0.601191\pi\)
0.770035 + 0.638002i \(0.220239\pi\)
\(348\) 1.22892 1.54102i 0.0658770 0.0826071i
\(349\) −7.15098 6.63514i −0.382783 0.355171i 0.465189 0.885211i \(-0.345986\pi\)
−0.847972 + 0.530040i \(0.822177\pi\)
\(350\) 0.475578 0.823725i 0.0254207 0.0440299i
\(351\) 15.0891 + 26.1352i 0.805399 + 1.39499i
\(352\) −0.415222 + 1.81921i −0.0221314 + 0.0969640i
\(353\) −7.11073 + 18.1178i −0.378466 + 0.964316i 0.607039 + 0.794672i \(0.292357\pi\)
−0.985505 + 0.169644i \(0.945738\pi\)
\(354\) 10.5941 + 3.26786i 0.563072 + 0.173685i
\(355\) 1.40400 + 1.76056i 0.0745165 + 0.0934408i
\(356\) 0.658788 8.79091i 0.0349157 0.465917i
\(357\) −1.06929 + 0.329832i −0.0565928 + 0.0174566i
\(358\) −4.63055 3.15705i −0.244732 0.166855i
\(359\) −22.7069 3.42251i −1.19842 0.180633i −0.480651 0.876912i \(-0.659600\pi\)
−0.717771 + 0.696279i \(0.754838\pi\)
\(360\) −0.0115266 0.0505015i −0.000607507 0.00266166i
\(361\) 12.9407 12.0072i 0.681091 0.631960i
\(362\) −0.893643 11.9248i −0.0469688 0.626756i
\(363\) −4.71611 12.0164i −0.247531 0.630700i
\(364\) −5.41669 + 0.816434i −0.283912 + 0.0427928i
\(365\) −0.0685101 0.0329927i −0.00358598 0.00172692i
\(366\) −1.05859 0.509790i −0.0553334 0.0266471i
\(367\) 3.88469 0.585523i 0.202779 0.0305641i −0.0468671 0.998901i \(-0.514924\pi\)
0.249646 + 0.968337i \(0.419686\pi\)
\(368\) 1.00102 + 2.55056i 0.0521818 + 0.132957i
\(369\) −0.0132813 0.177227i −0.000691399 0.00922608i
\(370\) 3.71475 3.44679i 0.193121 0.179190i
\(371\) −0.703611 3.08272i −0.0365297 0.160047i
\(372\) 14.9543 + 2.25400i 0.775344 + 0.116864i
\(373\) 23.4199 + 15.9674i 1.21263 + 0.826760i 0.989000 0.147913i \(-0.0472556\pi\)
0.223634 + 0.974673i \(0.428208\pi\)
\(374\) −1.22173 + 0.376854i −0.0631741 + 0.0194866i
\(375\) 0.128314 1.71223i 0.00662611 0.0884192i
\(376\) 2.95254 + 3.70236i 0.152265 + 0.190935i
\(377\) 6.31741 + 1.94866i 0.325363 + 0.100361i
\(378\) 1.82089 4.63956i 0.0936567 0.238633i
\(379\) 1.72157 7.54267i 0.0884309 0.387441i −0.911272 0.411804i \(-0.864899\pi\)
0.999703 + 0.0243633i \(0.00775583\pi\)
\(380\) 0.580251 + 1.00502i 0.0297663 + 0.0515567i
\(381\) −18.5798 + 32.1811i −0.951871 + 1.64869i
\(382\) −10.5133 9.75490i −0.537906 0.499104i
\(383\) 4.67035 5.85643i 0.238644 0.299250i −0.648059 0.761590i \(-0.724419\pi\)
0.886702 + 0.462341i \(0.152990\pi\)
\(384\) −1.41868 + 0.967239i −0.0723966 + 0.0493592i
\(385\) 1.59908 0.770078i 0.0814968 0.0392468i
\(386\) 4.94146 0.251514
\(387\) −0.206985 + 0.269328i −0.0105216 + 0.0136907i
\(388\) 10.2617 0.520958
\(389\) −31.2920 + 15.0695i −1.58657 + 0.764052i −0.998982 0.0451087i \(-0.985637\pi\)
−0.587588 + 0.809160i \(0.699922\pi\)
\(390\) −8.17042 + 5.57050i −0.413725 + 0.282073i
\(391\) −1.17051 + 1.46777i −0.0591953 + 0.0742285i
\(392\) −4.46817 4.14586i −0.225677 0.209397i
\(393\) −6.44836 + 11.1689i −0.325277 + 0.563396i
\(394\) 11.0713 + 19.1760i 0.557763 + 0.966074i
\(395\) −2.63900 + 11.5622i −0.132783 + 0.581758i
\(396\) 0.0353134 0.0899771i 0.00177456 0.00452152i
\(397\) −0.568972 0.175505i −0.0285559 0.00880832i 0.280444 0.959870i \(-0.409518\pi\)
−0.309000 + 0.951062i \(0.599994\pi\)
\(398\) −9.63412 12.0808i −0.482915 0.605556i
\(399\) −0.141635 + 1.88999i −0.00709063 + 0.0946179i
\(400\) 0.955573 0.294755i 0.0477786 0.0147378i
\(401\) −13.4819 9.19177i −0.673252 0.459015i 0.177821 0.984063i \(-0.443095\pi\)
−0.851073 + 0.525048i \(0.824048\pi\)
\(402\) 1.81590 + 0.273703i 0.0905689 + 0.0136511i
\(403\) 11.2875 + 49.4536i 0.562269 + 2.46346i
\(404\) −10.6145 + 9.84878i −0.528089 + 0.489995i
\(405\) −0.660757 8.81719i −0.0328333 0.438130i
\(406\) −0.398901 1.01638i −0.0197971 0.0504423i
\(407\) 9.35032 1.40933i 0.463478 0.0698581i
\(408\) −1.05996 0.510450i −0.0524759 0.0252711i
\(409\) 17.1360 + 8.25226i 0.847321 + 0.408048i 0.806582 0.591122i \(-0.201315\pi\)
0.0407384 + 0.999170i \(0.487029\pi\)
\(410\) 3.39263 0.511357i 0.167550 0.0252541i
\(411\) 10.5418 + 26.8600i 0.519987 + 1.32490i
\(412\) 0.539221 + 7.19540i 0.0265655 + 0.354492i
\(413\) 4.50204 4.17728i 0.221531 0.205551i
\(414\) −0.0315825 0.138372i −0.00155220 0.00680061i
\(415\) −5.72793 0.863346i −0.281173 0.0423800i
\(416\) −4.75845 3.24426i −0.233302 0.159063i
\(417\) 0.0859119 0.0265003i 0.00420713 0.00129773i
\(418\) −0.161827 + 2.15943i −0.00791522 + 0.105621i
\(419\) 5.08311 + 6.37402i 0.248326 + 0.311391i 0.890335 0.455306i \(-0.150470\pi\)
−0.642009 + 0.766697i \(0.721899\pi\)
\(420\) 1.56061 + 0.481384i 0.0761499 + 0.0234891i
\(421\) −1.93764 + 4.93702i −0.0944347 + 0.240616i −0.970284 0.241969i \(-0.922207\pi\)
0.875849 + 0.482585i \(0.160302\pi\)
\(422\) −0.624801 + 2.73743i −0.0304148 + 0.133256i
\(423\) −0.122650 0.212436i −0.00596344 0.0103290i
\(424\) 1.66219 2.87899i 0.0807230 0.139816i
\(425\) 0.502269 + 0.466038i 0.0243636 + 0.0226061i
\(426\) −2.41071 + 3.02294i −0.116799 + 0.146462i
\(427\) −0.537770 + 0.366645i −0.0260245 + 0.0177432i
\(428\) −10.0740 + 4.85139i −0.486946 + 0.234501i
\(429\) −18.4522 −0.890881
\(430\) −5.48343 3.59611i −0.264435 0.173420i
\(431\) −6.28866 −0.302914 −0.151457 0.988464i \(-0.548396\pi\)
−0.151457 + 0.988464i \(0.548396\pi\)
\(432\) 4.72111 2.27357i 0.227145 0.109387i
\(433\) 1.91773 1.30748i 0.0921600 0.0628336i −0.516363 0.856370i \(-0.672715\pi\)
0.608523 + 0.793536i \(0.291762\pi\)
\(434\) 5.22332 6.54983i 0.250727 0.314402i
\(435\) −1.44487 1.34064i −0.0692762 0.0642789i
\(436\) 7.56929 13.1104i 0.362503 0.627874i
\(437\) 1.58986 + 2.75373i 0.0760535 + 0.131729i
\(438\) 0.0290532 0.127290i 0.00138822 0.00608217i
\(439\) −12.4797 + 31.7978i −0.595625 + 1.51763i 0.241379 + 0.970431i \(0.422400\pi\)
−0.837004 + 0.547197i \(0.815695\pi\)
\(440\) 1.78309 + 0.550010i 0.0850055 + 0.0262207i
\(441\) 0.196859 + 0.246854i 0.00937426 + 0.0117549i
\(442\) 0.294888 3.93501i 0.0140264 0.187169i
\(443\) −3.31126 + 1.02139i −0.157323 + 0.0485277i −0.372416 0.928066i \(-0.621471\pi\)
0.215093 + 0.976593i \(0.430994\pi\)
\(444\) 7.18918 + 4.90150i 0.341183 + 0.232615i
\(445\) −8.71710 1.31389i −0.413230 0.0622844i
\(446\) 1.42435 + 6.24046i 0.0674447 + 0.295495i
\(447\) 4.28009 3.97134i 0.202441 0.187838i
\(448\) 0.0710799 + 0.948496i 0.00335821 + 0.0448122i
\(449\) 1.57742 + 4.01920i 0.0744430 + 0.189678i 0.963251 0.268601i \(-0.0865614\pi\)
−0.888808 + 0.458279i \(0.848466\pi\)
\(450\) −0.0512216 + 0.00772042i −0.00241461 + 0.000363944i
\(451\) 5.76812 + 2.77778i 0.271610 + 0.130801i
\(452\) −5.25923 2.53271i −0.247373 0.119129i
\(453\) 9.63567 1.45234i 0.452723 0.0682371i
\(454\) −10.7713 27.4449i −0.505524 1.28805i
\(455\) 0.409362 + 5.46255i 0.0191912 + 0.256088i
\(456\) −1.46069 + 1.35533i −0.0684032 + 0.0634689i
\(457\) −1.06662 4.67319i −0.0498946 0.218602i 0.943834 0.330419i \(-0.107190\pi\)
−0.993729 + 0.111817i \(0.964333\pi\)
\(458\) −10.7626 1.62220i −0.502903 0.0758004i
\(459\) 2.96648 + 2.02251i 0.138464 + 0.0944028i
\(460\) 2.61823 0.807617i 0.122076 0.0376554i
\(461\) −0.0491672 + 0.656091i −0.00228995 + 0.0305572i −0.998232 0.0594427i \(-0.981068\pi\)
0.995942 + 0.0899999i \(0.0286867\pi\)
\(462\) 1.90007 + 2.38261i 0.0883991 + 0.110849i
\(463\) 10.1220 + 3.12224i 0.470411 + 0.145103i 0.520892 0.853622i \(-0.325599\pi\)
−0.0504812 + 0.998725i \(0.516076\pi\)
\(464\) 0.419386 1.06858i 0.0194695 0.0496075i
\(465\) 3.36523 14.7440i 0.156059 0.683738i
\(466\) −12.2356 21.1926i −0.566802 0.981730i
\(467\) −14.2052 + 24.6041i −0.657337 + 1.13854i 0.323965 + 0.946069i \(0.394984\pi\)
−0.981302 + 0.192473i \(0.938349\pi\)
\(468\) 0.218689 + 0.202913i 0.0101089 + 0.00937968i
\(469\) 0.634268 0.795347i 0.0292878 0.0367257i
\(470\) 3.91265 2.66760i 0.180477 0.123047i
\(471\) −12.8811 + 6.20319i −0.593527 + 0.285828i
\(472\) 6.45688 0.297202
\(473\) −4.67405 11.3082i −0.214913 0.519953i
\(474\) −20.3633 −0.935315
\(475\) 1.04558 0.503523i 0.0479743 0.0231032i
\(476\) −0.538467 + 0.367120i −0.0246806 + 0.0168269i
\(477\) −0.107367 + 0.134634i −0.00491600 + 0.00616447i
\(478\) 14.2011 + 13.1767i 0.649542 + 0.602687i
\(479\) −7.41430 + 12.8419i −0.338768 + 0.586763i −0.984201 0.177053i \(-0.943344\pi\)
0.645433 + 0.763817i \(0.276677\pi\)
\(480\) 0.858516 + 1.48699i 0.0391857 + 0.0678717i
\(481\) −6.49421 + 28.4530i −0.296110 + 1.29734i
\(482\) 10.5089 26.7761i 0.478665 1.21962i
\(483\) 4.27600 + 1.31897i 0.194565 + 0.0600153i
\(484\) −4.68745 5.87787i −0.213066 0.267176i
\(485\) 0.766856 10.2330i 0.0348211 0.464656i
\(486\) −0.514349 + 0.158656i −0.0233314 + 0.00719677i
\(487\) 30.5948 + 20.8592i 1.38638 + 0.945221i 0.999736 + 0.0229939i \(0.00731982\pi\)
0.386649 + 0.922227i \(0.373633\pi\)
\(488\) −0.676646 0.101988i −0.0306303 0.00461678i
\(489\) −0.130508 0.571793i −0.00590177 0.0258574i
\(490\) −4.46817 + 4.14586i −0.201851 + 0.187291i
\(491\) −0.388359 5.18229i −0.0175264 0.233874i −0.999087 0.0427223i \(-0.986397\pi\)
0.981561 0.191151i \(-0.0612221\pi\)
\(492\) 2.15225 + 5.48383i 0.0970308 + 0.247230i
\(493\) 0.777748 0.117227i 0.0350280 0.00527962i
\(494\) −6.02165 2.89988i −0.270927 0.130472i
\(495\) −0.0870865 0.0419386i −0.00391425 0.00188500i
\(496\) 8.70939 1.31273i 0.391063 0.0589433i
\(497\) 0.782506 + 1.99379i 0.0351002 + 0.0894338i
\(498\) −0.743275 9.91832i −0.0333070 0.444450i
\(499\) −17.1909 + 15.9508i −0.769569 + 0.714055i −0.963720 0.266916i \(-0.913995\pi\)
0.194151 + 0.980972i \(0.437805\pi\)
\(500\) −0.222521 0.974928i −0.00995144 0.0436001i
\(501\) −42.4020 6.39107i −1.89438 0.285532i
\(502\) 4.72931 + 3.22439i 0.211079 + 0.143911i
\(503\) 27.9889 8.63344i 1.24796 0.384946i 0.400745 0.916190i \(-0.368751\pi\)
0.847219 + 0.531244i \(0.178275\pi\)
\(504\) 0.00368196 0.0491323i 0.000164007 0.00218853i
\(505\) 9.02802 + 11.3208i 0.401742 + 0.503768i
\(506\) 4.88560 + 1.50701i 0.217191 + 0.0669946i
\(507\) 12.6515 32.2354i 0.561872 1.43163i
\(508\) −4.81574 + 21.0991i −0.213664 + 0.936123i
\(509\) 14.5867 + 25.2648i 0.646543 + 1.11984i 0.983943 + 0.178483i \(0.0571191\pi\)
−0.337400 + 0.941361i \(0.609548\pi\)
\(510\) −0.588234 + 1.01885i −0.0260474 + 0.0451155i
\(511\) −0.0530190 0.0491944i −0.00234542 0.00217623i
\(512\) −0.623490 + 0.781831i −0.0275546 + 0.0345524i
\(513\) 5.02442 3.42559i 0.221834 0.151244i
\(514\) 4.26765 2.05519i 0.188238 0.0906507i
\(515\) 7.21558 0.317956
\(516\) 3.92474 10.5532i 0.172777 0.464577i
\(517\) 8.83640 0.388624
\(518\) 4.34267 2.09132i 0.190806 0.0918872i
\(519\) −12.9078 + 8.80041i −0.566591 + 0.386295i
\(520\) −3.59079 + 4.50270i −0.157466 + 0.197457i
\(521\) −14.0476 13.0343i −0.615436 0.571041i 0.309625 0.950859i \(-0.399796\pi\)
−0.925061 + 0.379817i \(0.875987\pi\)
\(522\) −0.0297315 + 0.0514965i −0.00130131 + 0.00225394i
\(523\) 6.57373 + 11.3860i 0.287449 + 0.497877i 0.973200 0.229959i \(-0.0738594\pi\)
−0.685751 + 0.727836i \(0.740526\pi\)
\(524\) −1.67137 + 7.32274i −0.0730140 + 0.319895i
\(525\) 0.596662 1.52027i 0.0260405 0.0663500i
\(526\) −14.3013 4.41136i −0.623566 0.192345i
\(527\) 3.76267 + 4.71824i 0.163905 + 0.205530i
\(528\) −0.239433 + 3.19501i −0.0104200 + 0.139045i
\(529\) −14.8043 + 4.56653i −0.643666 + 0.198545i
\(530\) −2.74673 1.87269i −0.119310 0.0813444i
\(531\) −0.330732 0.0498499i −0.0143526 0.00216330i
\(532\) 0.245623 + 1.07614i 0.0106491 + 0.0466567i
\(533\) −14.4847 + 13.4399i −0.627403 + 0.582145i
\(534\) −1.13116 15.0943i −0.0489501 0.653193i
\(535\) 4.08499 + 10.4084i 0.176610 + 0.449994i
\(536\) 1.05758 0.159405i 0.0456806 0.00688524i
\(537\) −8.66992 4.17521i −0.374135 0.180174i
\(538\) −28.4889 13.7195i −1.22824 0.591491i
\(539\) −11.2467 + 1.69517i −0.484432 + 0.0730163i
\(540\) −1.91440 4.87782i −0.0823827 0.209908i
\(541\) −2.53551 33.8340i −0.109010 1.45464i −0.736723 0.676194i \(-0.763628\pi\)
0.627713 0.778445i \(-0.283991\pi\)
\(542\) 2.45367 2.27667i 0.105394 0.0977915i
\(543\) −4.56897 20.0179i −0.196073 0.859052i
\(544\) −0.677522 0.102120i −0.0290485 0.00437836i
\(545\) −12.5081 8.52787i −0.535788 0.365294i
\(546\) −8.98781 + 2.77237i −0.384643 + 0.118647i
\(547\) −0.203680 + 2.71792i −0.00870872 + 0.116210i −0.999864 0.0164982i \(-0.994748\pi\)
0.991155 + 0.132708i \(0.0423673\pi\)
\(548\) 10.4777 + 13.1386i 0.447585 + 0.561254i
\(549\) 0.0338715 + 0.0104480i 0.00144560 + 0.000445909i
\(550\) 0.681723 1.73700i 0.0290688 0.0740660i
\(551\) 0.296437 1.29877i 0.0126286 0.0553297i
\(552\) 2.35230 + 4.07430i 0.100121 + 0.173414i
\(553\) −5.64015 + 9.76902i −0.239843 + 0.415421i
\(554\) 13.0399 + 12.0992i 0.554012 + 0.514048i
\(555\) 5.42504 6.80278i 0.230280 0.288762i
\(556\) 0.0432630 0.0294962i 0.00183476 0.00125092i
\(557\) 20.1739 9.71524i 0.854796 0.411648i 0.0454404 0.998967i \(-0.485531\pi\)
0.809356 + 0.587319i \(0.199817\pi\)
\(558\) −0.456244 −0.0193143
\(559\) 37.7593 0.677757i 1.59705 0.0286661i
\(560\) 0.951156 0.0401937
\(561\) −1.97788 + 0.952496i −0.0835061 + 0.0402144i
\(562\) 17.3636 11.8383i 0.732438 0.499368i
\(563\) 7.16903 8.98968i 0.302139 0.378870i −0.607465 0.794346i \(-0.707814\pi\)
0.909604 + 0.415476i \(0.136385\pi\)
\(564\) 5.96045 + 5.53049i 0.250980 + 0.232876i
\(565\) −2.91865 + 5.05526i −0.122789 + 0.212676i
\(566\) 6.80707 + 11.7902i 0.286123 + 0.495579i
\(567\) 1.87141 8.19918i 0.0785918 0.344333i
\(568\) −0.822689 + 2.09618i −0.0345193 + 0.0879537i
\(569\) 5.32019 + 1.64106i 0.223034 + 0.0687968i 0.404258 0.914645i \(-0.367530\pi\)
−0.181224 + 0.983442i \(0.558006\pi\)
\(570\) 1.24238 + 1.55789i 0.0520375 + 0.0652529i
\(571\) 1.59769 21.3197i 0.0668613 0.892202i −0.858426 0.512937i \(-0.828558\pi\)
0.925288 0.379266i \(-0.123823\pi\)
\(572\) −10.2691 + 3.16761i −0.429374 + 0.132444i
\(573\) −20.3464 13.8719i −0.849983 0.579509i
\(574\) 3.22692 + 0.486380i 0.134689 + 0.0203011i
\(575\) −0.609698 2.67126i −0.0254262 0.111399i
\(576\) 0.0379722 0.0352331i 0.00158218 0.00146805i
\(577\) −2.68266 35.7977i −0.111681 1.49028i −0.718551 0.695475i \(-0.755194\pi\)
0.606870 0.794801i \(-0.292425\pi\)
\(578\) 6.03928 + 15.3878i 0.251201 + 0.640050i
\(579\) 8.38988 1.26457i 0.348672 0.0525538i
\(580\) −1.03425 0.498068i −0.0429449 0.0206812i
\(581\) −4.96406 2.39057i −0.205944 0.0991774i
\(582\) 17.4228 2.62607i 0.722200 0.108854i
\(583\) −2.26630 5.77445i −0.0938607 0.239153i
\(584\) −0.00568251 0.0758279i −0.000235144 0.00313778i
\(585\) 0.218689 0.202913i 0.00904167 0.00838944i
\(586\) 2.91442 + 12.7689i 0.120394 + 0.527479i
\(587\) 0.936662 + 0.141179i 0.0386602 + 0.00582709i 0.168344 0.985728i \(-0.446158\pi\)
−0.129684 + 0.991555i \(0.541396\pi\)
\(588\) −8.64728 5.89561i −0.356608 0.243131i
\(589\) 9.76732 3.01282i 0.402455 0.124141i
\(590\) 0.482524 6.43883i 0.0198652 0.265082i
\(591\) 23.7048 + 29.7248i 0.975084 + 1.22272i
\(592\) 4.84238 + 1.49368i 0.199021 + 0.0613897i
\(593\) 12.2094 31.1089i 0.501378 1.27749i −0.426460 0.904507i \(-0.640239\pi\)
0.927838 0.372984i \(-0.121665\pi\)
\(594\) 2.17578 9.53271i 0.0892733 0.391132i
\(595\) 0.325854 + 0.564396i 0.0133587 + 0.0231380i
\(596\) 1.70024 2.94490i 0.0696444 0.120628i
\(597\) −19.4489 18.0460i −0.795992 0.738572i
\(598\) −9.83861 + 12.3372i −0.402331 + 0.504507i
\(599\) 27.9324 19.0440i 1.14129 0.778116i 0.163258 0.986583i \(-0.447800\pi\)
0.978029 + 0.208467i \(0.0668474\pi\)
\(600\) 1.54699 0.744992i 0.0631557 0.0304142i
\(601\) −33.6312 −1.37185 −0.685923 0.727674i \(-0.740601\pi\)
−0.685923 + 0.727674i \(0.740601\pi\)
\(602\) −3.97568 4.80582i −0.162037 0.195871i
\(603\) −0.0554017 −0.00225613
\(604\) 5.11318 2.46238i 0.208052 0.100193i
\(605\) −6.21173 + 4.23508i −0.252543 + 0.172181i
\(606\) −15.5014 + 19.4381i −0.629701 + 0.789620i
\(607\) −34.9659 32.4436i −1.41922 1.31685i −0.880239 0.474531i \(-0.842618\pi\)
−0.538984 0.842316i \(-0.681192\pi\)
\(608\) −0.580251 + 1.00502i −0.0235323 + 0.0407591i
\(609\) −0.937379 1.62359i −0.0379845 0.0657911i
\(610\) −0.152269 + 0.667132i −0.00616517 + 0.0270114i
\(611\) −9.96379 + 25.3873i −0.403092 + 1.02706i
\(612\) 0.0339154 + 0.0104615i 0.00137095 + 0.000422882i
\(613\) −7.77876 9.75426i −0.314181 0.393971i 0.599518 0.800361i \(-0.295359\pi\)
−0.913700 + 0.406390i \(0.866787\pi\)
\(614\) 1.14878 15.3294i 0.0463609 0.618643i
\(615\) 5.62934 1.73642i 0.226997 0.0700192i
\(616\) 1.46645 + 0.999807i 0.0590849 + 0.0402834i
\(617\) 9.48471 + 1.42959i 0.381840 + 0.0575531i 0.337158 0.941448i \(-0.390534\pi\)
0.0446822 + 0.999001i \(0.485772\pi\)
\(618\) 2.75690 + 12.0788i 0.110899 + 0.485879i
\(619\) 9.21271 8.54814i 0.370290 0.343579i −0.472976 0.881075i \(-0.656820\pi\)
0.843266 + 0.537496i \(0.180630\pi\)
\(620\) −0.658205 8.78313i −0.0264341 0.352739i
\(621\) −5.24538 13.3650i −0.210490 0.536320i
\(622\) −9.05005 + 1.36408i −0.362874 + 0.0546944i
\(623\) −7.55460 3.63810i −0.302669 0.145757i
\(624\) −8.90940 4.29054i −0.356661 0.171759i
\(625\) −0.988831 + 0.149042i −0.0395532 + 0.00596169i
\(626\) 1.45986 + 3.71966i 0.0583477 + 0.148668i
\(627\) 0.277862 + 3.70781i 0.0110967 + 0.148076i
\(628\) −6.10376 + 5.66347i −0.243567 + 0.225997i
\(629\) 0.772623 + 3.38508i 0.0308065 + 0.134972i
\(630\) −0.0487198 0.00734332i −0.00194104 0.000292565i
\(631\) 21.3038 + 14.5247i 0.848091 + 0.578219i 0.907518 0.420014i \(-0.137975\pi\)
−0.0594265 + 0.998233i \(0.518927\pi\)
\(632\) −11.3327 + 3.49567i −0.450790 + 0.139050i
\(633\) −0.360284 + 4.80765i −0.0143200 + 0.191087i
\(634\) 13.2502 + 16.6152i 0.526231 + 0.659873i
\(635\) 20.6803 + 6.37901i 0.820671 + 0.253143i
\(636\) 2.08539 5.31348i 0.0826910 0.210693i
\(637\) 7.81135 34.2238i 0.309497 1.35600i
\(638\) −1.07101 1.85505i −0.0424018 0.0734421i
\(639\) 0.0583229 0.101018i 0.00230722 0.00399622i
\(640\) 0.733052 + 0.680173i 0.0289764 + 0.0268862i
\(641\) −0.962431 + 1.20685i −0.0380138 + 0.0476677i −0.800475 0.599366i \(-0.795419\pi\)
0.762461 + 0.647034i \(0.223991\pi\)
\(642\) −15.8627 + 10.8150i −0.626051 + 0.426834i
\(643\) −40.2496 + 19.3832i −1.58729 + 0.764398i −0.999020 0.0442670i \(-0.985905\pi\)
−0.588269 + 0.808665i \(0.700190\pi\)
\(644\) 2.60613 0.102696
\(645\) −10.2303 4.70240i −0.402820 0.185157i
\(646\) −0.795147 −0.0312847
\(647\) 25.2400 12.1550i 0.992288 0.477861i 0.133974 0.990985i \(-0.457226\pi\)
0.858314 + 0.513124i \(0.171512\pi\)
\(648\) 7.30553 4.98083i 0.286988 0.195665i
\(649\) 7.51211 9.41989i 0.294876 0.369763i
\(650\) 4.22177 + 3.91723i 0.165592 + 0.153647i
\(651\) 7.19226 12.4574i 0.281887 0.488243i
\(652\) −0.170788 0.295814i −0.00668858 0.0115850i
\(653\) 4.51862 19.7974i 0.176827 0.774731i −0.806255 0.591568i \(-0.798509\pi\)
0.983082 0.183163i \(-0.0586337\pi\)
\(654\) 9.49647 24.1966i 0.371341 0.946162i
\(655\) 7.17736 + 2.21392i 0.280443 + 0.0865051i
\(656\) 2.13917 + 2.68243i 0.0835204 + 0.104731i
\(657\) −0.000294355 0.00392790i −1.14839e−5 0.000153242i
\(658\) 4.30409 1.32764i 0.167791 0.0517566i
\(659\) 29.3071 + 19.9812i 1.14164 + 0.778359i 0.978091 0.208176i \(-0.0667527\pi\)
0.163551 + 0.986535i \(0.447705\pi\)
\(660\) 3.16818 + 0.477526i 0.123321 + 0.0185877i
\(661\) −7.30331 31.9979i −0.284066 1.24457i −0.892529 0.450991i \(-0.851071\pi\)
0.608463 0.793582i \(-0.291786\pi\)
\(662\) 1.45833 1.35313i 0.0566794 0.0525908i
\(663\) −0.506332 6.75654i −0.0196643 0.262402i
\(664\) −2.11628 5.39221i −0.0821278 0.209258i
\(665\) 1.09149 0.164516i 0.0423261 0.00637964i
\(666\) −0.236503 0.113894i −0.00916430 0.00441329i
\(667\) −2.83380 1.36469i −0.109725 0.0528409i
\(668\) −24.6949 + 3.72216i −0.955475 + 0.144015i
\(669\) 4.01533 + 10.2309i 0.155242 + 0.395549i
\(670\) −0.0799259 1.06654i −0.00308781 0.0412039i
\(671\) −0.936016 + 0.868496i −0.0361345 + 0.0335279i
\(672\) 0.363413 + 1.59222i 0.0140190 + 0.0614211i
\(673\) 3.43249 + 0.517365i 0.132313 + 0.0199429i 0.214865 0.976644i \(-0.431069\pi\)
−0.0825520 + 0.996587i \(0.526307\pi\)
\(674\) 22.5073 + 15.3452i 0.866950 + 0.591077i
\(675\) −5.00724 + 1.54453i −0.192729 + 0.0594489i
\(676\) 1.50716 20.1117i 0.0579678 0.773526i
\(677\) 21.6973 + 27.2076i 0.833895 + 1.04567i 0.998242 + 0.0592691i \(0.0188770\pi\)
−0.164347 + 0.986403i \(0.552552\pi\)
\(678\) −9.57756 2.95428i −0.367824 0.113459i
\(679\) 3.56589 9.08575i 0.136846 0.348679i
\(680\) −0.152466 + 0.667996i −0.00584680 + 0.0256165i
\(681\) −25.3116 43.8410i −0.969943 1.67999i
\(682\) 8.21760 14.2333i 0.314668 0.545021i
\(683\) 27.6689 + 25.6730i 1.05872 + 0.982349i 0.999873 0.0159176i \(-0.00506695\pi\)
0.0588475 + 0.998267i \(0.481257\pi\)
\(684\) 0.0374806 0.0469992i 0.00143311 0.00179706i
\(685\) 13.8849 9.46654i 0.530514 0.361698i
\(686\) −11.2222 + 5.40431i −0.428465 + 0.206338i
\(687\) −18.6884 −0.713009
\(688\) 0.372605 6.54684i 0.0142054 0.249596i
\(689\) 19.1457 0.729391
\(690\) 4.23870 2.04125i 0.161364 0.0777090i
\(691\) −36.8365 + 25.1147i −1.40133 + 0.955409i −0.402121 + 0.915586i \(0.631727\pi\)
−0.999207 + 0.0398227i \(0.987321\pi\)
\(692\) −5.67281 + 7.11348i −0.215648 + 0.270414i
\(693\) −0.0673949 0.0625334i −0.00256012 0.00237545i
\(694\) 5.15684 8.93190i 0.195751 0.339050i
\(695\) −0.0261807 0.0453463i −0.000993091 0.00172008i
\(696\) 0.438596 1.92161i 0.0166249 0.0728386i
\(697\) −0.858846 + 2.18830i −0.0325311 + 0.0828879i
\(698\) −9.32169 2.87536i −0.352831 0.108834i
\(699\) −26.1976 32.8508i −0.990886 1.24253i
\(700\) 0.0710799 0.948496i 0.00268657 0.0358498i
\(701\) 22.8441 7.04648i 0.862811 0.266142i 0.168399 0.985719i \(-0.446140\pi\)
0.694413 + 0.719577i \(0.255664\pi\)
\(702\) 24.9345 + 17.0000i 0.941091 + 0.641625i
\(703\) 5.81518 + 0.876497i 0.219324 + 0.0330577i
\(704\) 0.415222 + 1.81921i 0.0156493 + 0.0685639i
\(705\) 5.96045 5.53049i 0.224483 0.208290i
\(706\) 1.45449 + 19.4088i 0.0547405 + 0.730461i
\(707\) 5.03168 + 12.8205i 0.189236 + 0.482165i
\(708\) 10.9628 1.65238i 0.412009 0.0621004i
\(709\) −30.8664 14.8645i −1.15921 0.558246i −0.247422 0.968908i \(-0.579584\pi\)
−0.911788 + 0.410662i \(0.865298\pi\)
\(710\) 2.02884 + 0.977037i 0.0761409 + 0.0366675i
\(711\) 0.607466 0.0915608i 0.0227818 0.00343380i
\(712\) −3.22069 8.20617i −0.120700 0.307539i
\(713\) −1.80345 24.0654i −0.0675399 0.901257i
\(714\) −0.820288 + 0.761116i −0.0306985 + 0.0284841i
\(715\) 2.39134 + 10.4771i 0.0894309 + 0.391822i
\(716\) −5.54177 0.835288i −0.207106 0.0312162i
\(717\) 27.4834 + 18.7379i 1.02639 + 0.699779i
\(718\) −21.9432 + 6.76857i −0.818911 + 0.252601i
\(719\) 0.446483 5.95790i 0.0166510 0.222192i −0.982670 0.185361i \(-0.940655\pi\)
0.999321 0.0368313i \(-0.0117264\pi\)
\(720\) −0.0322969 0.0404990i −0.00120363 0.00150931i
\(721\) 6.55823 + 2.02294i 0.244241 + 0.0753384i
\(722\) 6.44945 16.4329i 0.240024 0.611570i
\(723\) 10.9902 48.1513i 0.408731 1.79077i
\(724\) −5.97914 10.3562i −0.222213 0.384884i
\(725\) −0.573965 + 0.994137i −0.0213165 + 0.0369213i
\(726\) −9.46281 8.78020i −0.351198 0.325864i
\(727\) 23.2814 29.1939i 0.863459 1.08274i −0.132342 0.991204i \(-0.542250\pi\)
0.995801 0.0915396i \(-0.0291788\pi\)
\(728\) −4.52603 + 3.08579i −0.167746 + 0.114367i
\(729\) −24.7316 + 11.9101i −0.915984 + 0.441115i
\(730\) −0.0760405 −0.00281439
\(731\) 4.01241 2.02177i 0.148404 0.0747779i
\(732\) −1.17495 −0.0434272
\(733\) −8.69123 + 4.18548i −0.321018 + 0.154594i −0.587452 0.809259i \(-0.699869\pi\)
0.266434 + 0.963853i \(0.414155\pi\)
\(734\) 3.24594 2.21304i 0.119810 0.0816849i
\(735\) −6.52534 + 8.18252i −0.240691 + 0.301817i
\(736\) 2.00853 + 1.86365i 0.0740355 + 0.0686949i
\(737\) 0.997864 1.72835i 0.0367568 0.0636646i
\(738\) −0.0888621 0.153914i −0.00327106 0.00566564i
\(739\) 8.06204 35.3221i 0.296567 1.29934i −0.578635 0.815587i \(-0.696414\pi\)
0.875202 0.483758i \(-0.160728\pi\)
\(740\) 1.85137 4.71722i 0.0680578 0.173408i
\(741\) −10.9660 3.38256i −0.402846 0.124262i
\(742\) −1.97147 2.47215i −0.0723751 0.0907555i
\(743\) 2.06500 27.5555i 0.0757574 1.01091i −0.821731 0.569875i \(-0.806992\pi\)
0.897489 0.441037i \(-0.145389\pi\)
\(744\) 14.4513 4.45764i 0.529811 0.163425i
\(745\) −2.80960 1.91556i −0.102936 0.0701805i
\(746\) 28.0286 + 4.22462i 1.02620 + 0.154675i
\(747\) 0.0667695 + 0.292536i 0.00244297 + 0.0107033i
\(748\) −0.937229 + 0.869622i −0.0342685 + 0.0317965i
\(749\) 0.794768 + 10.6054i 0.0290402 + 0.387514i
\(750\) −0.627302 1.59834i −0.0229058 0.0583631i
\(751\) 24.6637 3.71745i 0.899990 0.135652i 0.317280 0.948332i \(-0.397231\pi\)
0.582710 + 0.812680i \(0.301992\pi\)
\(752\) 4.26654 + 2.05466i 0.155585 + 0.0749256i
\(753\) 8.85483 + 4.26426i 0.322688 + 0.155398i
\(754\) 6.53729 0.985337i 0.238074 0.0358839i
\(755\) −2.07339 5.28290i −0.0754582 0.192264i
\(756\) −0.372462 4.97016i −0.0135463 0.180763i
\(757\) 12.5623 11.6561i 0.456584 0.423648i −0.418056 0.908421i \(-0.637288\pi\)
0.874640 + 0.484773i \(0.161098\pi\)
\(758\) −1.72157 7.54267i −0.0625301 0.273962i
\(759\) 8.68069 + 1.30840i 0.315089 + 0.0474920i
\(760\) 0.958852 + 0.653734i 0.0347812 + 0.0237134i
\(761\) 47.7797 14.7381i 1.73201 0.534255i 0.741413 0.671049i \(-0.234156\pi\)
0.990600 + 0.136793i \(0.0436796\pi\)
\(762\) −2.77694 + 37.0557i −0.100598 + 1.34238i
\(763\) −8.97772 11.2577i −0.325015 0.407556i
\(764\) −13.7046 4.22732i −0.495816 0.152939i
\(765\) 0.0129668 0.0330388i 0.000468814 0.00119452i
\(766\) 1.66683 7.30285i 0.0602249 0.263863i
\(767\) 18.5932 + 32.2043i 0.671360 + 1.16283i
\(768\) −0.858516 + 1.48699i −0.0309790 + 0.0536573i
\(769\) 1.27392 + 1.18202i 0.0459387 + 0.0426249i 0.702808 0.711379i \(-0.251929\pi\)
−0.656869 + 0.754004i \(0.728120\pi\)
\(770\) 1.10660 1.38763i 0.0398791 0.0500068i
\(771\) 6.71991 4.58156i 0.242012 0.165001i
\(772\) 4.45210 2.14402i 0.160235 0.0771650i
\(773\) −27.5708 −0.991652 −0.495826 0.868422i \(-0.665135\pi\)
−0.495826 + 0.868422i \(0.665135\pi\)
\(774\) −0.0696298 + 0.332463i −0.00250279 + 0.0119502i
\(775\) −8.80776 −0.316384
\(776\) 9.24545 4.45237i 0.331892 0.159831i
\(777\) 6.83803 4.66209i 0.245313 0.167251i
\(778\) −21.6548 + 27.1542i −0.776361 + 0.973526i
\(779\) 2.91874 + 2.70820i 0.104575 + 0.0970312i
\(780\) −4.94434 + 8.56385i −0.177036 + 0.306635i
\(781\) 2.10096 + 3.63896i 0.0751781 + 0.130212i
\(782\) −0.417750 + 1.83028i −0.0149387 + 0.0654508i
\(783\) −2.19760 + 5.59939i −0.0785358 + 0.200106i
\(784\) −5.82451 1.79662i −0.208018 0.0641651i
\(785\) 5.19149 + 6.50993i 0.185292 + 0.232349i
\(786\) −0.963773 + 12.8607i −0.0343767 + 0.458725i
\(787\) −22.4337 + 6.91987i −0.799674 + 0.246667i −0.667548 0.744566i \(-0.732656\pi\)
−0.132125 + 0.991233i \(0.542180\pi\)
\(788\) 18.2951 + 12.4734i 0.651734 + 0.444345i
\(789\) −25.4104 3.83001i −0.904635 0.136352i
\(790\) 2.63900 + 11.5622i 0.0938915 + 0.411365i
\(791\) −4.07004 + 3.77645i −0.144714 + 0.134275i
\(792\) −0.00722331 0.0963884i −0.000256669 0.00342501i
\(793\) −1.43979 3.66851i −0.0511283 0.130273i
\(794\) −0.588774 + 0.0887434i −0.0208948 + 0.00314939i
\(795\) −5.14279 2.47663i −0.182396 0.0878372i
\(796\) −13.9217 6.70434i −0.493442 0.237629i
\(797\) −28.3328 + 4.27049i −1.00360 + 0.151268i −0.630226 0.776412i \(-0.717038\pi\)
−0.373375 + 0.927681i \(0.621799\pi\)
\(798\) 0.692428 + 1.76428i 0.0245117 + 0.0624547i
\(799\) 0.242473 + 3.23557i 0.00857807 + 0.114466i
\(800\) 0.733052 0.680173i 0.0259173 0.0240477i
\(801\) 0.101614 + 0.445199i 0.00359034 + 0.0157303i
\(802\) −16.1349 2.43194i −0.569743 0.0858749i
\(803\) −0.117236 0.0799300i −0.00413716 0.00282067i
\(804\) 1.75483 0.541292i 0.0618879 0.0190899i
\(805\) 0.194756 2.59884i 0.00686425 0.0915971i
\(806\) 31.6268 + 39.6587i 1.11401 + 1.39692i
\(807\) −51.8810 16.0032i −1.82630 0.563338i
\(808\) −5.29007 + 13.4789i −0.186104 + 0.474185i
\(809\) −9.27282 + 40.6269i −0.326015 + 1.42837i 0.500640 + 0.865656i \(0.333098\pi\)
−0.826655 + 0.562710i \(0.809759\pi\)
\(810\) −4.42096 7.65732i −0.155337 0.269051i
\(811\) −13.2881 + 23.0156i −0.466607 + 0.808188i −0.999272 0.0381383i \(-0.987857\pi\)
0.532665 + 0.846326i \(0.321191\pi\)
\(812\) −0.800390 0.742653i −0.0280882 0.0260620i
\(813\) 3.58335 4.49338i 0.125674 0.157590i
\(814\) 7.81286 5.32672i 0.273841 0.186701i
\(815\) −0.307750 + 0.148204i −0.0107800 + 0.00519137i
\(816\) −1.17647 −0.0411846
\(817\) −0.704788 7.57721i −0.0246574 0.265093i
\(818\) 19.0195 0.665002
\(819\) 0.255654 0.123117i 0.00893328 0.00430204i
\(820\) 2.83479 1.93273i 0.0989951 0.0674937i
\(821\) −29.6179 + 37.1397i −1.03367 + 1.29618i −0.0795283 + 0.996833i \(0.525341\pi\)
−0.954143 + 0.299350i \(0.903230\pi\)
\(822\) 21.1519 + 19.6261i 0.737757 + 0.684539i
\(823\) −10.9738 + 19.0071i −0.382522 + 0.662547i −0.991422 0.130700i \(-0.958278\pi\)
0.608900 + 0.793247i \(0.291611\pi\)
\(824\) 3.60779 + 6.24887i 0.125683 + 0.217690i
\(825\) 0.712950 3.12364i 0.0248217 0.108751i
\(826\) 2.24374 5.71696i 0.0780698 0.198919i
\(827\) 11.6817 + 3.60333i 0.406213 + 0.125300i 0.491127 0.871088i \(-0.336585\pi\)
−0.0849136 + 0.996388i \(0.527061\pi\)
\(828\) −0.0884922 0.110966i −0.00307532 0.00385633i
\(829\) 0.121718 1.62421i 0.00422743 0.0564112i −0.994691 0.102906i \(-0.967186\pi\)
0.998919 + 0.0464946i \(0.0148050\pi\)
\(830\) −5.53528 + 1.70741i −0.192132 + 0.0592650i
\(831\) 25.2361 + 17.2057i 0.875432 + 0.596860i
\(832\) −5.69485 0.858360i −0.197433 0.0297583i
\(833\) −0.929325 4.07164i −0.0321992 0.141074i
\(834\) 0.0659059 0.0611518i 0.00228214 0.00211751i
\(835\) 1.86630 + 24.9040i 0.0645859 + 0.861839i
\(836\) 0.791141 + 2.01579i 0.0273622 + 0.0697177i
\(837\) −45.6375 + 6.87875i −1.57746 + 0.237764i
\(838\) 7.34531 + 3.53732i 0.253740 + 0.122195i
\(839\) −33.1433 15.9610i −1.14423 0.551034i −0.236937 0.971525i \(-0.576143\pi\)
−0.907297 + 0.420491i \(0.861858\pi\)
\(840\) 1.61492 0.243411i 0.0557202 0.00839846i
\(841\) −10.1135 25.7687i −0.348740 0.888575i
\(842\) 0.396342 + 5.28881i 0.0136588 + 0.182265i
\(843\) 26.4513 24.5432i 0.911030 0.845312i
\(844\) 0.624801 + 2.73743i 0.0215065 + 0.0942263i
\(845\) −19.9428 3.00590i −0.686054 0.103406i
\(846\) −0.202676 0.138182i −0.00696815 0.00475081i
\(847\) −6.83317 + 2.10775i −0.234790 + 0.0724233i
\(848\) 0.248431 3.31508i 0.00853115 0.113840i
\(849\) 14.5747 + 18.2760i 0.500201 + 0.627232i
\(850\) 0.654735 + 0.201959i 0.0224572 + 0.00692713i
\(851\) 5.07268 12.9250i 0.173889 0.443063i
\(852\) −0.860373 + 3.76954i −0.0294759 + 0.129142i
\(853\) 20.7855 + 36.0016i 0.711683 + 1.23267i 0.964225 + 0.265085i \(0.0853999\pi\)
−0.252543 + 0.967586i \(0.581267\pi\)
\(854\) −0.325432 + 0.563666i −0.0111361 + 0.0192882i
\(855\) −0.0440669 0.0408881i −0.00150705 0.00139834i
\(856\) −6.97144 + 8.74191i −0.238279 + 0.298792i
\(857\) −10.7703 + 7.34308i −0.367907 + 0.250835i −0.733135 0.680083i \(-0.761944\pi\)
0.365228 + 0.930918i \(0.380991\pi\)
\(858\) −16.6249 + 8.00611i −0.567563 + 0.273324i
\(859\) −50.7841 −1.73273 −0.866365 0.499411i \(-0.833550\pi\)
−0.866365 + 0.499411i \(0.833550\pi\)
\(860\) −6.50069 0.860810i −0.221672 0.0293534i
\(861\) 5.60332 0.190961
\(862\) −5.66588 + 2.72855i −0.192981 + 0.0929346i
\(863\) 11.2458 7.66723i 0.382810 0.260995i −0.356591 0.934261i \(-0.616061\pi\)
0.739401 + 0.673265i \(0.235109\pi\)
\(864\) 3.26711 4.09683i 0.111149 0.139377i
\(865\) 6.66966 + 6.18854i 0.226775 + 0.210417i
\(866\) 1.16052 2.01007i 0.0394359 0.0683050i
\(867\) 14.1917 + 24.5808i 0.481976 + 0.834808i
\(868\) 1.86418 8.16751i 0.0632744 0.277223i
\(869\) −8.08494 + 20.6001i −0.274263 + 0.698810i
\(870\) −1.88347 0.580972i −0.0638555 0.0196968i
\(871\) 3.84044 + 4.81576i 0.130128 + 0.163176i
\(872\) 1.13131 15.0963i 0.0383109 0.511224i
\(873\) −0.507941 + 0.156679i −0.0171912 + 0.00530279i
\(874\) 2.62722 + 1.79121i 0.0888669 + 0.0605884i
\(875\) −0.940532 0.141762i −0.0317958 0.00479244i
\(876\) −0.0290532 0.127290i −0.000981617 0.00430075i
\(877\) −41.1055 + 38.1404i −1.38804 + 1.28791i −0.475025 + 0.879972i \(0.657561\pi\)
−0.913011 + 0.407936i \(0.866249\pi\)
\(878\) 2.55271 + 34.0636i 0.0861499 + 1.14959i
\(879\) 8.21596 + 20.9339i 0.277118 + 0.706084i
\(880\) 1.84515 0.278112i 0.0622000 0.00937514i
\(881\) −8.37284 4.03215i −0.282088 0.135846i 0.287490 0.957784i \(-0.407179\pi\)
−0.569578 + 0.821937i \(0.692893\pi\)
\(882\) 0.284470 + 0.136994i 0.00957861 + 0.00461281i
\(883\) 26.0421 3.92521i 0.876386 0.132094i 0.304584 0.952485i \(-0.401483\pi\)
0.571802 + 0.820391i \(0.306244\pi\)
\(884\) −1.44165 3.67327i −0.0484880 0.123545i
\(885\) −0.828508 11.0557i −0.0278500 0.371633i
\(886\) −2.54018 + 2.35694i −0.0853390 + 0.0791830i
\(887\) 9.50360 + 41.6380i 0.319100 + 1.39807i 0.839136 + 0.543922i \(0.183061\pi\)
−0.520036 + 0.854144i \(0.674082\pi\)
\(888\) 8.60390 + 1.29683i 0.288728 + 0.0435188i
\(889\) 17.0078 + 11.5958i 0.570425 + 0.388909i
\(890\) −8.42391 + 2.59843i −0.282370 + 0.0870996i
\(891\) 1.23297 16.4528i 0.0413059 0.551190i
\(892\) 3.99093 + 5.00446i 0.133626 + 0.167562i
\(893\) 5.25140 + 1.61984i 0.175732 + 0.0542060i
\(894\) 2.13313 5.43512i 0.0713424 0.181777i
\(895\) −1.24709 + 5.46386i −0.0416856 + 0.182637i
\(896\) 0.475578 + 0.823725i 0.0158879 + 0.0275187i
\(897\) −13.5473 + 23.4646i −0.452331 + 0.783461i
\(898\) 3.16507 + 2.93676i 0.105620 + 0.0980008i
\(899\) −6.30391 + 7.90486i −0.210247 + 0.263642i
\(900\) −0.0427993 + 0.0291801i −0.00142664 + 0.000972670i
\(901\) 2.05221 0.988292i 0.0683690 0.0329248i
\(902\) 6.40213 0.213168
\(903\) −7.97999 7.14216i −0.265557 0.237676i
\(904\) −5.83731 −0.194146
\(905\) −10.7740 + 5.18850i −0.358141 + 0.172472i
\(906\) 8.05129 5.48928i 0.267486 0.182369i
\(907\) −14.4983 + 18.1803i −0.481408 + 0.603667i −0.961923 0.273320i \(-0.911878\pi\)
0.480515 + 0.876986i \(0.340450\pi\)
\(908\) −21.6126 20.0535i −0.717238 0.665500i
\(909\) 0.375029 0.649569i 0.0124389 0.0215448i
\(910\) 2.73893 + 4.74397i 0.0907948 + 0.157261i
\(911\) −7.98232 + 34.9728i −0.264466 + 1.15870i 0.651882 + 0.758320i \(0.273980\pi\)
−0.916349 + 0.400382i \(0.868878\pi\)
\(912\) −0.727986 + 1.85488i −0.0241060 + 0.0614211i
\(913\) −10.3288 3.18601i −0.341833 0.105441i
\(914\) −2.98862 3.74760i −0.0988546 0.123960i
\(915\) −0.0878038 + 1.17166i −0.00290270 + 0.0387339i
\(916\) −10.4006 + 3.20816i −0.343646 + 0.106001i
\(917\) 5.90280 + 4.02446i 0.194928 + 0.132899i
\(918\) 3.55024 + 0.535113i 0.117176 + 0.0176614i
\(919\) 4.51789 + 19.7942i 0.149032 + 0.652950i 0.993155 + 0.116801i \(0.0372641\pi\)
−0.844124 + 0.536148i \(0.819879\pi\)
\(920\) 2.00853 1.86365i 0.0662194 0.0614426i
\(921\) −1.97249 26.3210i −0.0649957 0.867308i
\(922\) 0.240369 + 0.612451i 0.00791614 + 0.0201700i
\(923\) −12.8239 + 1.93289i −0.422103 + 0.0636218i
\(924\) 2.74568 + 1.32225i 0.0903261 + 0.0434988i
\(925\) −4.56567 2.19871i −0.150118 0.0722932i
\(926\) 10.4743 1.57875i 0.344208 0.0518810i
\(927\) −0.136553 0.347931i −0.00448499 0.0114276i
\(928\) −0.0857849 1.14472i −0.00281603 0.0375773i
\(929\) 19.8435 18.4121i 0.651045 0.604082i −0.283908 0.958851i \(-0.591631\pi\)
0.934954 + 0.354770i \(0.115441\pi\)
\(930\) −3.36523 14.7440i −0.110350 0.483476i
\(931\) −6.99461 1.05427i −0.229239 0.0345522i
\(932\) −20.2190 13.7851i −0.662296 0.451546i
\(933\) −15.0166 + 4.63200i −0.491621 + 0.151645i
\(934\) −2.12311 + 28.3309i −0.0694703 + 0.927016i
\(935\) 0.797151 + 0.999596i 0.0260696 + 0.0326903i
\(936\) 0.285073 + 0.0879332i 0.00931789 + 0.00287419i
\(937\) 17.4115 44.3639i 0.568810 1.44931i −0.299893 0.953973i \(-0.596951\pi\)
0.868704 0.495332i \(-0.164954\pi\)
\(938\) 0.226368 0.991781i 0.00739117 0.0323828i
\(939\) 3.43053 + 5.94185i 0.111951 + 0.193905i
\(940\) 2.36775 4.10106i 0.0772275 0.133762i
\(941\) 7.47017 + 6.93131i 0.243521 + 0.225954i 0.792485 0.609892i \(-0.208787\pi\)
−0.548964 + 0.835846i \(0.684978\pi\)
\(942\) −8.91396 + 11.1778i −0.290433 + 0.364191i
\(943\) 7.76721 5.29559i 0.252935 0.172448i
\(944\) 5.81745 2.80154i 0.189342 0.0911823i
\(945\) −4.98409 −0.162133
\(946\) −9.11763 8.16036i −0.296440 0.265316i
\(947\) −35.2290 −1.14479 −0.572394 0.819979i \(-0.693985\pi\)
−0.572394 + 0.819979i \(0.693985\pi\)
\(948\) −18.3467 + 8.83528i −0.595872 + 0.286957i
\(949\) 0.361835 0.246695i 0.0117457 0.00800806i
\(950\) 0.723561 0.907317i 0.0234754 0.0294373i
\(951\) 26.7488 + 24.8193i 0.867390 + 0.804820i
\(952\) −0.325854 + 0.564396i −0.0105610 + 0.0182922i
\(953\) 14.1460 + 24.5016i 0.458234 + 0.793684i 0.998868 0.0475740i \(-0.0151490\pi\)
−0.540634 + 0.841258i \(0.681816\pi\)
\(954\) −0.0383189 + 0.167886i −0.00124062 + 0.00543551i
\(955\) −5.23965 + 13.3504i −0.169551 + 0.432009i
\(956\) 18.5119 + 5.71016i 0.598717 + 0.184680i
\(957\) −2.29315 2.87552i −0.0741271 0.0929524i
\(958\) −1.10814 + 14.7871i −0.0358025 + 0.477751i
\(959\) 15.2740 4.71139i 0.493222 0.152139i
\(960\) 1.41868 + 0.967239i 0.0457877 + 0.0312175i
\(961\) −46.0564 6.94189i −1.48569 0.223932i
\(962\) 6.49421 + 28.4530i 0.209382 + 0.917361i
\(963\) 0.424580 0.393952i 0.0136819 0.0126949i
\(964\) −2.14958 28.6841i −0.0692332 0.923852i
\(965\) −1.80532 4.59988i −0.0581153 0.148075i
\(966\) 4.42483 0.666935i 0.142366 0.0214583i
\(967\) 28.3452 + 13.6503i 0.911519 + 0.438964i 0.830036 0.557711i \(-0.188320\pi\)
0.0814831 + 0.996675i \(0.474034\pi\)
\(968\) −6.77355 3.26197i −0.217710 0.104844i
\(969\) −1.35004 + 0.203486i −0.0433697 + 0.00653693i
\(970\) −3.74901 9.55232i −0.120373 0.306707i
\(971\) −2.05969 27.4846i −0.0660985 0.882023i −0.927434 0.373987i \(-0.877991\pi\)
0.861336 0.508036i \(-0.169628\pi\)
\(972\) −0.394575 + 0.366112i −0.0126560 + 0.0117430i
\(973\) −0.0110824 0.0485552i −0.000355285 0.00155661i
\(974\) 36.6155 + 5.51889i 1.17324 + 0.176837i
\(975\) 8.17042 + 5.57050i 0.261663 + 0.178399i
\(976\) −0.653888 + 0.201698i −0.0209304 + 0.00645618i
\(977\) −4.22923 + 56.4351i −0.135305 + 1.80552i 0.355951 + 0.934505i \(0.384157\pi\)
−0.491256 + 0.871015i \(0.663462\pi\)
\(978\) −0.365675 0.458542i −0.0116930 0.0146626i
\(979\) −15.7189 4.84865i −0.502379 0.154964i
\(980\) −2.22686 + 5.67396i −0.0711346 + 0.181248i
\(981\) −0.174497 + 0.764521i −0.00557126 + 0.0244093i
\(982\) −2.59841 4.50058i −0.0829187 0.143619i
\(983\) −9.43277 + 16.3380i −0.300859 + 0.521103i −0.976331 0.216283i \(-0.930607\pi\)
0.675472 + 0.737386i \(0.263940\pi\)
\(984\) 4.31845 + 4.00694i 0.137667 + 0.127737i
\(985\) 13.8057 17.3118i 0.439885 0.551599i
\(986\) 0.649864 0.443070i 0.0206959 0.0141102i
\(987\) 6.96796 3.35559i 0.221793 0.106810i
\(988\) −6.68353 −0.212631
\(989\) −17.8116 2.35858i −0.566377 0.0749986i
\(990\) −0.0966587 −0.00307202
\(991\) 22.1027 10.6441i 0.702116 0.338121i −0.0485336 0.998822i \(-0.515455\pi\)
0.750650 + 0.660700i \(0.229741\pi\)
\(992\) 7.27731 4.96159i 0.231055 0.157531i
\(993\) 2.12974 2.67062i 0.0675854 0.0847494i
\(994\) 1.57009 + 1.45683i 0.0498001 + 0.0462078i
\(995\) −7.72596 + 13.3818i −0.244929 + 0.424230i
\(996\) −4.97306 8.61360i −0.157578 0.272932i
\(997\) −2.41303 + 10.5722i −0.0764215 + 0.334824i −0.998657 0.0518035i \(-0.983503\pi\)
0.922236 + 0.386628i \(0.126360\pi\)
\(998\) −8.56764 + 21.8300i −0.271204 + 0.691017i
\(999\) −25.3743 7.82692i −0.802806 0.247633i
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.q.c.31.3 48
43.25 even 21 inner 430.2.q.c.111.3 yes 48
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
430.2.q.c.31.3 48 1.1 even 1 trivial
430.2.q.c.111.3 yes 48 43.25 even 21 inner