Properties

Label 547.2.f.a.46.7
Level $547$
Weight $2$
Character 547.46
Analytic conductor $4.368$
Analytic rank $0$
Dimension $528$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [547,2,Mod(46,547)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(547, base_ring=CyclotomicField(26))
 
chi = DirichletCharacter(H, H._module([14]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("547.46");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 547 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 547.f (of order \(13\), degree \(12\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(4.36781699056\)
Analytic rank: \(0\)
Dimension: \(528\)
Relative dimension: \(44\) over \(\Q(\zeta_{13})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{13}]$

Embedding invariants

Embedding label 46.7
Character \(\chi\) \(=\) 547.46
Dual form 547.2.f.a.440.7

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.245329 + 2.02046i) q^{2} +0.136449 q^{3} +(-2.08020 - 0.512724i) q^{4} +(1.38996 + 3.66502i) q^{5} +(-0.0334750 + 0.275691i) q^{6} +(-0.418952 - 3.45038i) q^{7} +(0.102818 - 0.271108i) q^{8} -2.98138 q^{9} +O(q^{10})\) \(q+(-0.245329 + 2.02046i) q^{2} +0.136449 q^{3} +(-2.08020 - 0.512724i) q^{4} +(1.38996 + 3.66502i) q^{5} +(-0.0334750 + 0.275691i) q^{6} +(-0.418952 - 3.45038i) q^{7} +(0.102818 - 0.271108i) q^{8} -2.98138 q^{9} +(-7.74605 + 1.90923i) q^{10} +(-1.23320 + 1.78660i) q^{11} +(-0.283843 - 0.0699609i) q^{12} -0.159824 q^{13} +7.07415 q^{14} +(0.189659 + 0.500090i) q^{15} +(-3.27157 - 1.71705i) q^{16} +(1.49607 + 2.16744i) q^{17} +(0.731419 - 6.02377i) q^{18} +(-4.18461 + 2.19625i) q^{19} +(-1.01225 - 8.33666i) q^{20} +(-0.0571658 - 0.470803i) q^{21} +(-3.30721 - 2.92994i) q^{22} +(-1.24042 + 1.09892i) q^{23} +(0.0140294 - 0.0369925i) q^{24} +(-7.75786 + 6.87286i) q^{25} +(0.0392095 - 0.322919i) q^{26} -0.816156 q^{27} +(-0.897588 + 7.39231i) q^{28} +(2.80462 + 2.48468i) q^{29} +(-1.05694 + 0.260513i) q^{30} +(8.93811 + 4.69108i) q^{31} +(4.60127 - 6.66609i) q^{32} +(-0.168269 + 0.243780i) q^{33} +(-4.74626 + 2.49103i) q^{34} +(12.0634 - 6.33136i) q^{35} +(6.20188 + 1.52863i) q^{36} +(-5.15700 - 4.56871i) q^{37} +(-3.41084 - 8.99365i) q^{38} -0.0218079 q^{39} +1.13653 q^{40} -6.97657 q^{41} +0.965264 q^{42} +(7.64250 + 1.88371i) q^{43} +(3.48133 - 3.08419i) q^{44} +(-4.14400 - 10.9268i) q^{45} +(-1.91601 - 2.77582i) q^{46} +(5.64360 + 4.99979i) q^{47} +(-0.446404 - 0.234291i) q^{48} +(-4.93302 + 1.21588i) q^{49} +(-11.9831 - 17.3606i) q^{50} +(0.204138 + 0.295746i) q^{51} +(0.332467 + 0.0819458i) q^{52} +(-2.27225 - 5.99144i) q^{53} +(0.200226 - 1.64901i) q^{54} +(-8.26201 - 2.03640i) q^{55} +(-0.978500 - 0.241179i) q^{56} +(-0.570987 + 0.299677i) q^{57} +(-5.70826 + 5.05708i) q^{58} +(-0.751606 - 0.394473i) q^{59} +(-0.138121 - 1.13753i) q^{60} +(0.360512 - 2.96908i) q^{61} +(-11.6709 + 16.9083i) q^{62} +(1.24906 + 10.2869i) q^{63} +(6.80860 + 6.03190i) q^{64} +(-0.222149 - 0.585760i) q^{65} +(-0.451267 - 0.399788i) q^{66} +(3.04699 + 0.751015i) q^{67} +(-2.00084 - 5.27579i) q^{68} +(-0.169254 + 0.149946i) q^{69} +(9.83279 + 25.9269i) q^{70} +(10.1724 - 5.33888i) q^{71} +(-0.306538 + 0.808275i) q^{72} +(2.88409 - 7.60472i) q^{73} +(10.4961 - 9.29870i) q^{74} +(-1.05855 + 0.937798i) q^{75} +(9.83091 - 2.42310i) q^{76} +(6.68109 + 3.50651i) q^{77} +(0.00535011 - 0.0440621i) q^{78} +(0.396070 + 0.0976224i) q^{79} +(1.74569 - 14.3770i) q^{80} +8.83278 q^{81} +(1.71155 - 14.0959i) q^{82} +(3.85387 + 10.1618i) q^{83} +(-0.122475 + 1.00868i) q^{84} +(-5.86423 + 8.49580i) q^{85} +(-5.68088 + 14.9793i) q^{86} +(0.382689 + 0.339033i) q^{87} +(0.357565 + 0.518023i) q^{88} +(1.86094 + 15.3262i) q^{89} +(23.0939 - 5.69214i) q^{90} +(0.0669587 + 0.551455i) q^{91} +(3.14377 - 1.64998i) q^{92} +(1.21960 + 0.640096i) q^{93} +(-11.4864 + 10.1761i) q^{94} +(-13.8658 - 12.2840i) q^{95} +(0.627841 - 0.909584i) q^{96} +(6.95413 + 10.0748i) q^{97} +(-1.24643 - 10.2653i) q^{98} +(3.67663 - 5.32652i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 528 q - 8 q^{2} - 46 q^{3} - 50 q^{4} - 9 q^{5} - 21 q^{6} - 3 q^{7} + 14 q^{8} + 466 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 528 q - 8 q^{2} - 46 q^{3} - 50 q^{4} - 9 q^{5} - 21 q^{6} - 3 q^{7} + 14 q^{8} + 466 q^{9} + 7 q^{10} - 16 q^{11} - 53 q^{12} - 12 q^{13} - 38 q^{15} - 38 q^{16} + 7 q^{17} - 23 q^{18} + 5 q^{19} + 45 q^{20} + 4 q^{21} + 43 q^{22} + 2 q^{23} - 51 q^{24} - 69 q^{25} - 4 q^{26} - 142 q^{27} - 2 q^{28} - 72 q^{29} - 50 q^{30} + 25 q^{31} + 66 q^{32} - 4 q^{34} + 33 q^{35} - 55 q^{36} + 21 q^{37} + 40 q^{38} - 142 q^{39} + 78 q^{40} - 140 q^{41} - 248 q^{42} + 23 q^{43} + 64 q^{44} - 163 q^{45} + 14 q^{46} + 37 q^{47} - 35 q^{48} + q^{49} + 70 q^{50} - 72 q^{51} - 74 q^{52} - 17 q^{53} - 76 q^{54} + 6 q^{55} - 38 q^{56} + 5 q^{57} + 29 q^{58} + 30 q^{59} - 108 q^{60} - 94 q^{61} - 75 q^{62} - 77 q^{63} - 252 q^{64} - 122 q^{65} + 79 q^{66} + 43 q^{67} - 193 q^{68} + 14 q^{69} - 267 q^{70} + 61 q^{71} + 49 q^{72} + 11 q^{73} + 85 q^{74} + 120 q^{75} - 23 q^{76} + 31 q^{77} - 90 q^{78} + 65 q^{79} + 58 q^{80} + 280 q^{81} + 10 q^{82} - 8 q^{83} - 136 q^{84} + 33 q^{85} + 91 q^{86} - 70 q^{87} - 198 q^{88} + 41 q^{89} - 68 q^{90} + 38 q^{91} + 43 q^{92} + 132 q^{93} + 8 q^{94} - 49 q^{95} + 262 q^{96} - 14 q^{97} + 41 q^{98} - 36 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/547\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{7}{13}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.245329 + 2.02046i −0.173474 + 1.42868i 0.602601 + 0.798043i \(0.294131\pi\)
−0.776075 + 0.630641i \(0.782792\pi\)
\(3\) 0.136449 0.0787791 0.0393895 0.999224i \(-0.487459\pi\)
0.0393895 + 0.999224i \(0.487459\pi\)
\(4\) −2.08020 0.512724i −1.04010 0.256362i
\(5\) 1.38996 + 3.66502i 0.621609 + 1.63905i 0.760955 + 0.648805i \(0.224731\pi\)
−0.139346 + 0.990244i \(0.544500\pi\)
\(6\) −0.0334750 + 0.275691i −0.0136661 + 0.112550i
\(7\) −0.418952 3.45038i −0.158349 1.30412i −0.827698 0.561174i \(-0.810350\pi\)
0.669349 0.742948i \(-0.266573\pi\)
\(8\) 0.102818 0.271108i 0.0363515 0.0958510i
\(9\) −2.98138 −0.993794
\(10\) −7.74605 + 1.90923i −2.44951 + 0.603751i
\(11\) −1.23320 + 1.78660i −0.371823 + 0.538679i −0.963574 0.267442i \(-0.913822\pi\)
0.591751 + 0.806121i \(0.298437\pi\)
\(12\) −0.283843 0.0699609i −0.0819383 0.0201960i
\(13\) −0.159824 −0.0443273 −0.0221636 0.999754i \(-0.507055\pi\)
−0.0221636 + 0.999754i \(0.507055\pi\)
\(14\) 7.07415 1.89065
\(15\) 0.189659 + 0.500090i 0.0489698 + 0.129123i
\(16\) −3.27157 1.71705i −0.817892 0.429263i
\(17\) 1.49607 + 2.16744i 0.362851 + 0.525681i 0.961309 0.275474i \(-0.0888347\pi\)
−0.598457 + 0.801155i \(0.704219\pi\)
\(18\) 0.731419 6.02377i 0.172397 1.41982i
\(19\) −4.18461 + 2.19625i −0.960015 + 0.503855i −0.870520 0.492133i \(-0.836218\pi\)
−0.0894947 + 0.995987i \(0.528525\pi\)
\(20\) −1.01225 8.33666i −0.226347 1.86413i
\(21\) −0.0571658 0.470803i −0.0124746 0.102738i
\(22\) −3.30721 2.92994i −0.705100 0.624664i
\(23\) −1.24042 + 1.09892i −0.258645 + 0.229140i −0.782473 0.622684i \(-0.786042\pi\)
0.523828 + 0.851824i \(0.324504\pi\)
\(24\) 0.0140294 0.0369925i 0.00286374 0.00755106i
\(25\) −7.75786 + 6.87286i −1.55157 + 1.37457i
\(26\) 0.0392095 0.322919i 0.00768961 0.0633296i
\(27\) −0.816156 −0.157069
\(28\) −0.897588 + 7.39231i −0.169628 + 1.39701i
\(29\) 2.80462 + 2.48468i 0.520806 + 0.461393i 0.882103 0.471057i \(-0.156127\pi\)
−0.361297 + 0.932451i \(0.617666\pi\)
\(30\) −1.05694 + 0.260513i −0.192971 + 0.0475630i
\(31\) 8.93811 + 4.69108i 1.60533 + 0.842544i 0.998875 + 0.0474283i \(0.0151026\pi\)
0.606458 + 0.795115i \(0.292590\pi\)
\(32\) 4.60127 6.66609i 0.813398 1.17841i
\(33\) −0.168269 + 0.243780i −0.0292919 + 0.0424366i
\(34\) −4.74626 + 2.49103i −0.813977 + 0.427208i
\(35\) 12.0634 6.33136i 2.03909 1.07020i
\(36\) 6.20188 + 1.52863i 1.03365 + 0.254771i
\(37\) −5.15700 4.56871i −0.847806 0.751091i 0.122629 0.992453i \(-0.460867\pi\)
−0.970435 + 0.241362i \(0.922406\pi\)
\(38\) −3.41084 8.99365i −0.553312 1.45896i
\(39\) −0.0218079 −0.00349206
\(40\) 1.13653 0.179701
\(41\) −6.97657 −1.08956 −0.544778 0.838580i \(-0.683386\pi\)
−0.544778 + 0.838580i \(0.683386\pi\)
\(42\) 0.965264 0.148943
\(43\) 7.64250 + 1.88371i 1.16547 + 0.287263i 0.774156 0.632995i \(-0.218175\pi\)
0.391314 + 0.920257i \(0.372021\pi\)
\(44\) 3.48133 3.08419i 0.524831 0.464960i
\(45\) −4.14400 10.9268i −0.617751 1.62888i
\(46\) −1.91601 2.77582i −0.282500 0.409272i
\(47\) 5.64360 + 4.99979i 0.823204 + 0.729295i 0.965465 0.260534i \(-0.0838987\pi\)
−0.142261 + 0.989829i \(0.545437\pi\)
\(48\) −0.446404 0.234291i −0.0644328 0.0338169i
\(49\) −4.93302 + 1.21588i −0.704718 + 0.173697i
\(50\) −11.9831 17.3606i −1.69467 2.45516i
\(51\) 0.204138 + 0.295746i 0.0285851 + 0.0414127i
\(52\) 0.332467 + 0.0819458i 0.0461049 + 0.0113638i
\(53\) −2.27225 5.99144i −0.312118 0.822987i −0.995659 0.0930753i \(-0.970330\pi\)
0.683541 0.729912i \(-0.260439\pi\)
\(54\) 0.200226 1.64901i 0.0272474 0.224402i
\(55\) −8.26201 2.03640i −1.11405 0.274589i
\(56\) −0.978500 0.241179i −0.130758 0.0322289i
\(57\) −0.570987 + 0.299677i −0.0756291 + 0.0396932i
\(58\) −5.70826 + 5.05708i −0.749531 + 0.664027i
\(59\) −0.751606 0.394473i −0.0978508 0.0513560i 0.415088 0.909781i \(-0.363751\pi\)
−0.512939 + 0.858425i \(0.671443\pi\)
\(60\) −0.138121 1.13753i −0.0178314 0.146855i
\(61\) 0.360512 2.96908i 0.0461589 0.380152i −0.951262 0.308383i \(-0.900212\pi\)
0.997421 0.0717697i \(-0.0228647\pi\)
\(62\) −11.6709 + 16.9083i −1.48221 + 2.14735i
\(63\) 1.24906 + 10.2869i 0.157366 + 1.29603i
\(64\) 6.80860 + 6.03190i 0.851075 + 0.753987i
\(65\) −0.222149 0.585760i −0.0275542 0.0726545i
\(66\) −0.451267 0.399788i −0.0555472 0.0492105i
\(67\) 3.04699 + 0.751015i 0.372249 + 0.0917511i 0.421002 0.907060i \(-0.361679\pi\)
−0.0487531 + 0.998811i \(0.515525\pi\)
\(68\) −2.00084 5.27579i −0.242638 0.639783i
\(69\) −0.169254 + 0.149946i −0.0203758 + 0.0180514i
\(70\) 9.83279 + 25.9269i 1.17524 + 3.09886i
\(71\) 10.1724 5.33888i 1.20724 0.633608i 0.263616 0.964628i \(-0.415085\pi\)
0.943624 + 0.331019i \(0.107393\pi\)
\(72\) −0.306538 + 0.808275i −0.0361259 + 0.0952561i
\(73\) 2.88409 7.60472i 0.337557 0.890065i −0.653536 0.756895i \(-0.726715\pi\)
0.991093 0.133170i \(-0.0425155\pi\)
\(74\) 10.4961 9.29870i 1.22014 1.08095i
\(75\) −1.05855 + 0.937798i −0.122231 + 0.108288i
\(76\) 9.83091 2.42310i 1.12768 0.277949i
\(77\) 6.68109 + 3.50651i 0.761381 + 0.399603i
\(78\) 0.00535011 0.0440621i 0.000605780 0.00498905i
\(79\) 0.396070 + 0.0976224i 0.0445613 + 0.0109834i 0.261533 0.965194i \(-0.415772\pi\)
−0.216972 + 0.976178i \(0.569618\pi\)
\(80\) 1.74569 14.3770i 0.195174 1.60740i
\(81\) 8.83278 0.981420
\(82\) 1.71155 14.0959i 0.189009 1.55663i
\(83\) 3.85387 + 10.1618i 0.423017 + 1.11540i 0.961991 + 0.273082i \(0.0880430\pi\)
−0.538974 + 0.842323i \(0.681188\pi\)
\(84\) −0.122475 + 1.00868i −0.0133632 + 0.110056i
\(85\) −5.86423 + 8.49580i −0.636065 + 0.921499i
\(86\) −5.68088 + 14.9793i −0.612586 + 1.61526i
\(87\) 0.382689 + 0.339033i 0.0410286 + 0.0363482i
\(88\) 0.357565 + 0.518023i 0.0381166 + 0.0552214i
\(89\) 1.86094 + 15.3262i 0.197259 + 1.62458i 0.669295 + 0.742997i \(0.266596\pi\)
−0.472035 + 0.881580i \(0.656480\pi\)
\(90\) 23.0939 5.69214i 2.43431 0.600004i
\(91\) 0.0669587 + 0.551455i 0.00701918 + 0.0578082i
\(92\) 3.14377 1.64998i 0.327760 0.172022i
\(93\) 1.21960 + 0.640096i 0.126467 + 0.0663748i
\(94\) −11.4864 + 10.1761i −1.18474 + 1.04958i
\(95\) −13.8658 12.2840i −1.42260 1.26031i
\(96\) 0.627841 0.909584i 0.0640787 0.0928341i
\(97\) 6.95413 + 10.0748i 0.706085 + 1.02294i 0.997791 + 0.0664329i \(0.0211618\pi\)
−0.291706 + 0.956508i \(0.594223\pi\)
\(98\) −1.24643 10.2653i −0.125909 1.03695i
\(99\) 3.67663 5.32652i 0.369516 0.535336i
\(100\) 19.6618 10.3193i 1.96618 1.03193i
\(101\) −3.31757 + 8.74771i −0.330111 + 0.870430i 0.662497 + 0.749064i \(0.269497\pi\)
−0.992608 + 0.121366i \(0.961273\pi\)
\(102\) −0.647624 + 0.339900i −0.0641244 + 0.0336551i
\(103\) 3.14894 + 4.56203i 0.310274 + 0.449510i 0.946836 0.321715i \(-0.104259\pi\)
−0.636562 + 0.771226i \(0.719644\pi\)
\(104\) −0.0164327 + 0.0433296i −0.00161136 + 0.00424881i
\(105\) 1.64604 0.863911i 0.160637 0.0843091i
\(106\) 12.6629 3.12113i 1.22993 0.303151i
\(107\) −10.9075 + 15.8022i −1.05447 + 1.52766i −0.220855 + 0.975307i \(0.570885\pi\)
−0.833611 + 0.552352i \(0.813730\pi\)
\(108\) 1.69777 + 0.418463i 0.163368 + 0.0402666i
\(109\) −13.8831 7.28641i −1.32976 0.697912i −0.357964 0.933735i \(-0.616529\pi\)
−0.971796 + 0.235824i \(0.924221\pi\)
\(110\) 6.14139 16.1935i 0.585558 1.54399i
\(111\) −0.703670 0.623397i −0.0667894 0.0591702i
\(112\) −4.55385 + 12.0075i −0.430299 + 1.13460i
\(113\) 2.03276 + 1.06688i 0.191226 + 0.100363i 0.557619 0.830097i \(-0.311715\pi\)
−0.366393 + 0.930460i \(0.619407\pi\)
\(114\) −0.465407 1.22718i −0.0435894 0.114936i
\(115\) −5.75169 3.01872i −0.536348 0.281497i
\(116\) −4.56023 6.60664i −0.423407 0.613411i
\(117\) 0.476497 0.0440522
\(118\) 0.981409 1.42182i 0.0903461 0.130889i
\(119\) 6.85171 6.07008i 0.628095 0.556444i
\(120\) 0.155079 0.0141567
\(121\) 2.22951 + 5.87873i 0.202682 + 0.534430i
\(122\) 5.91048 + 1.45680i 0.535110 + 0.131893i
\(123\) −0.951948 −0.0858343
\(124\) −16.1879 14.3412i −1.45371 1.28788i
\(125\) −18.6185 9.77175i −1.66529 0.874012i
\(126\) −21.0908 −1.87891
\(127\) 13.9220 3.43147i 1.23538 0.304494i 0.433047 0.901371i \(-0.357438\pi\)
0.802332 + 0.596878i \(0.203592\pi\)
\(128\) −1.73184 + 1.53428i −0.153074 + 0.135612i
\(129\) 1.04281 + 0.257031i 0.0918147 + 0.0226303i
\(130\) 1.23801 0.305141i 0.108580 0.0267626i
\(131\) 3.00962 4.36019i 0.262952 0.380952i −0.669162 0.743116i \(-0.733347\pi\)
0.932114 + 0.362165i \(0.117962\pi\)
\(132\) 0.475026 0.420836i 0.0413457 0.0366291i
\(133\) 9.33106 + 13.5184i 0.809105 + 1.17219i
\(134\) −2.26491 + 5.97208i −0.195659 + 0.515909i
\(135\) −1.13442 2.99123i −0.0976357 0.257444i
\(136\) 0.741432 0.182747i 0.0635773 0.0156704i
\(137\) −6.09942 + 1.50337i −0.521109 + 0.128442i −0.491092 0.871108i \(-0.663402\pi\)
−0.0300165 + 0.999549i \(0.509556\pi\)
\(138\) −0.261438 0.378759i −0.0222551 0.0322421i
\(139\) −8.10426 + 1.99752i −0.687395 + 0.169428i −0.567518 0.823361i \(-0.692096\pi\)
−0.119877 + 0.992789i \(0.538250\pi\)
\(140\) −28.3406 + 6.98533i −2.39522 + 0.590368i
\(141\) 0.770066 + 0.682219i 0.0648512 + 0.0574532i
\(142\) 8.29143 + 21.8627i 0.695802 + 1.83468i
\(143\) 0.197095 0.285541i 0.0164819 0.0238782i
\(144\) 9.75380 + 5.11919i 0.812816 + 0.426599i
\(145\) −5.20810 + 13.7326i −0.432509 + 1.14043i
\(146\) 14.6575 + 7.69285i 1.21306 + 0.636665i
\(147\) −0.673108 + 0.165906i −0.0555170 + 0.0136837i
\(148\) 8.38513 + 12.1480i 0.689254 + 0.998556i
\(149\) 9.66749 5.07389i 0.791992 0.415669i −0.0196632 0.999807i \(-0.506259\pi\)
0.811655 + 0.584137i \(0.198567\pi\)
\(150\) −1.63509 2.36884i −0.133505 0.193415i
\(151\) 18.0208 15.9650i 1.46651 1.29922i 0.600063 0.799953i \(-0.295142\pi\)
0.866450 0.499264i \(-0.166396\pi\)
\(152\) 0.165169 + 1.36029i 0.0133970 + 0.110334i
\(153\) −4.46037 6.46196i −0.360600 0.522419i
\(154\) −8.72383 + 12.6387i −0.702986 + 1.01845i
\(155\) −4.76931 + 39.2788i −0.383080 + 3.15495i
\(156\) 0.0453649 + 0.0111814i 0.00363210 + 0.000895232i
\(157\) −20.6063 + 5.07899i −1.64456 + 0.405347i −0.949541 0.313644i \(-0.898450\pi\)
−0.695019 + 0.718992i \(0.744604\pi\)
\(158\) −0.294410 + 0.776295i −0.0234220 + 0.0617587i
\(159\) −0.310047 0.817528i −0.0245884 0.0648342i
\(160\) 30.8270 + 7.59817i 2.43709 + 0.600688i
\(161\) 4.31136 + 3.81953i 0.339782 + 0.301021i
\(162\) −2.16693 + 17.8463i −0.170250 + 1.40214i
\(163\) −4.82214 + 4.27204i −0.377699 + 0.334612i −0.830519 0.556990i \(-0.811956\pi\)
0.452821 + 0.891602i \(0.350418\pi\)
\(164\) 14.5127 + 3.57706i 1.13325 + 0.279321i
\(165\) −1.12735 0.277866i −0.0877638 0.0216318i
\(166\) −21.4771 + 5.29362i −1.66694 + 0.410864i
\(167\) −0.437667 0.634071i −0.0338677 0.0490659i 0.805684 0.592345i \(-0.201798\pi\)
−0.839552 + 0.543279i \(0.817182\pi\)
\(168\) −0.133516 0.0329087i −0.0103010 0.00253896i
\(169\) −12.9745 −0.998035
\(170\) −15.7268 13.9327i −1.20619 1.06859i
\(171\) 12.4759 6.54786i 0.954057 0.500728i
\(172\) −14.9321 7.83699i −1.13856 0.597565i
\(173\) −0.913724 + 7.52519i −0.0694691 + 0.572130i 0.915864 + 0.401488i \(0.131507\pi\)
−0.985333 + 0.170641i \(0.945416\pi\)
\(174\) −0.778889 + 0.690035i −0.0590474 + 0.0523114i
\(175\) 26.9642 + 23.8882i 2.03830 + 1.80578i
\(176\) 7.10217 3.72751i 0.535346 0.280971i
\(177\) −0.102556 0.0538256i −0.00770859 0.00404578i
\(178\) −31.4226 −2.35523
\(179\) −15.4842 + 3.81650i −1.15734 + 0.285259i −0.770839 0.637030i \(-0.780163\pi\)
−0.386501 + 0.922289i \(0.626317\pi\)
\(180\) 3.01792 + 24.8548i 0.224942 + 1.85257i
\(181\) 15.0003 + 3.69723i 1.11496 + 0.274813i 0.753418 0.657542i \(-0.228404\pi\)
0.361543 + 0.932355i \(0.382250\pi\)
\(182\) −1.13062 −0.0838072
\(183\) 0.0491917 0.405130i 0.00363635 0.0299481i
\(184\) 0.170388 + 0.449275i 0.0125611 + 0.0331210i
\(185\) 9.57639 25.2509i 0.704070 1.85648i
\(186\) −1.59249 + 2.30712i −0.116767 + 0.169167i
\(187\) −5.71729 −0.418090
\(188\) −9.17633 13.2942i −0.669252 0.969579i
\(189\) 0.341930 + 2.81605i 0.0248718 + 0.204837i
\(190\) 28.2210 25.0016i 2.04737 1.81381i
\(191\) 2.17032 17.8742i 0.157039 1.29333i −0.674671 0.738118i \(-0.735715\pi\)
0.831710 0.555210i \(-0.187362\pi\)
\(192\) 0.929030 + 0.823049i 0.0670469 + 0.0593984i
\(193\) 10.0053 14.4952i 0.720198 1.04339i −0.276406 0.961041i \(-0.589143\pi\)
0.996604 0.0823462i \(-0.0262413\pi\)
\(194\) −22.0618 + 11.5789i −1.58395 + 0.831319i
\(195\) −0.0303121 0.0799265i −0.00217070 0.00572366i
\(196\) 10.8851 0.777508
\(197\) −9.23089 + 8.17786i −0.657674 + 0.582648i −0.924540 0.381086i \(-0.875550\pi\)
0.266866 + 0.963734i \(0.414012\pi\)
\(198\) 9.86006 + 8.73526i 0.700724 + 0.620788i
\(199\) 8.94130 + 12.9537i 0.633832 + 0.918264i 0.999924 0.0123145i \(-0.00391994\pi\)
−0.366092 + 0.930579i \(0.619305\pi\)
\(200\) 1.06564 + 2.80986i 0.0753522 + 0.198687i
\(201\) 0.415760 + 0.102476i 0.0293254 + 0.00722807i
\(202\) −16.8605 8.84909i −1.18630 0.622620i
\(203\) 7.39809 10.7180i 0.519244 0.752255i
\(204\) −0.273014 0.719878i −0.0191148 0.0504015i
\(205\) −9.69715 25.5693i −0.677278 1.78584i
\(206\) −9.98994 + 5.24312i −0.696032 + 0.365306i
\(207\) 3.69816 3.27629i 0.257040 0.227718i
\(208\) 0.522876 + 0.274427i 0.0362549 + 0.0190281i
\(209\) 1.23664 10.1846i 0.0855399 0.704485i
\(210\) 1.34168 + 3.53772i 0.0925846 + 0.244126i
\(211\) 7.41197 19.5438i 0.510261 1.34545i −0.394252 0.919002i \(-0.628996\pi\)
0.904513 0.426446i \(-0.140235\pi\)
\(212\) 1.65479 + 13.6285i 0.113652 + 0.936006i
\(213\) 1.38802 0.728487i 0.0951052 0.0499151i
\(214\) −29.2519 25.9149i −1.99962 1.77151i
\(215\) 3.71894 + 30.6282i 0.253629 + 2.08883i
\(216\) −0.0839151 + 0.221266i −0.00570970 + 0.0150552i
\(217\) 12.4414 32.8053i 0.844577 2.22697i
\(218\) 18.1279 26.2627i 1.22777 1.77874i
\(219\) 0.393532 1.03766i 0.0265924 0.0701185i
\(220\) 16.1426 + 8.47227i 1.08833 + 0.571200i
\(221\) −0.239109 0.346409i −0.0160842 0.0233020i
\(222\) 1.43218 1.26880i 0.0961217 0.0851564i
\(223\) 0.986481 + 0.243146i 0.0660596 + 0.0162822i 0.272207 0.962239i \(-0.412246\pi\)
−0.206147 + 0.978521i \(0.566093\pi\)
\(224\) −24.9283 13.0834i −1.66559 0.874170i
\(225\) 23.1291 20.4906i 1.54194 1.36604i
\(226\) −2.65428 + 3.84539i −0.176560 + 0.255791i
\(227\) 4.43342 11.6900i 0.294256 0.775890i −0.703609 0.710587i \(-0.748429\pi\)
0.997866 0.0653026i \(-0.0208013\pi\)
\(228\) 1.34142 0.330631i 0.0888378 0.0218966i
\(229\) −0.418508 + 0.103153i −0.0276558 + 0.00681653i −0.253119 0.967435i \(-0.581457\pi\)
0.225464 + 0.974252i \(0.427610\pi\)
\(230\) 7.51026 10.8805i 0.495212 0.717439i
\(231\) 0.911631 + 0.478461i 0.0599809 + 0.0314804i
\(232\) 0.961980 0.504886i 0.0631571 0.0331474i
\(233\) 0.598619 + 4.93007i 0.0392168 + 0.322979i 0.999094 + 0.0425587i \(0.0135509\pi\)
−0.959877 + 0.280421i \(0.909526\pi\)
\(234\) −0.116898 + 0.962745i −0.00764189 + 0.0629366i
\(235\) −10.4800 + 27.6334i −0.683639 + 1.80261i
\(236\) 1.36124 + 1.20595i 0.0886090 + 0.0785008i
\(237\) 0.0540434 + 0.0133205i 0.00351050 + 0.000865260i
\(238\) 10.5835 + 15.3328i 0.686024 + 0.993877i
\(239\) −12.4928 11.0676i −0.808091 0.715906i 0.154167 0.988045i \(-0.450731\pi\)
−0.962258 + 0.272138i \(0.912269\pi\)
\(240\) 0.238198 1.96173i 0.0153756 0.126629i
\(241\) 14.3402 7.52629i 0.923730 0.484811i 0.0653716 0.997861i \(-0.479177\pi\)
0.858359 + 0.513050i \(0.171484\pi\)
\(242\) −12.4247 + 3.06242i −0.798691 + 0.196860i
\(243\) 3.65369 0.234385
\(244\) −2.27226 + 5.99146i −0.145467 + 0.383564i
\(245\) −11.3129 16.3896i −0.722757 1.04709i
\(246\) 0.233540 1.92338i 0.0148900 0.122630i
\(247\) 0.668802 0.351014i 0.0425548 0.0223345i
\(248\) 2.19078 1.94087i 0.139115 0.123245i
\(249\) 0.525858 + 1.38657i 0.0333249 + 0.0878706i
\(250\) 24.3111 35.2207i 1.53757 2.22756i
\(251\) 2.90075 1.52243i 0.183094 0.0960951i −0.370686 0.928758i \(-0.620877\pi\)
0.553780 + 0.832663i \(0.313185\pi\)
\(252\) 2.67605 22.0393i 0.168576 1.38834i
\(253\) −0.433635 3.57131i −0.0272624 0.224526i
\(254\) 3.51769 + 28.9708i 0.220719 + 1.81779i
\(255\) −0.800171 + 1.15925i −0.0501086 + 0.0725949i
\(256\) 7.65938 + 11.0965i 0.478711 + 0.693533i
\(257\) −0.486763 0.255473i −0.0303635 0.0159360i 0.449473 0.893294i \(-0.351612\pi\)
−0.479837 + 0.877358i \(0.659304\pi\)
\(258\) −0.775153 + 2.04391i −0.0482589 + 0.127248i
\(259\) −13.6032 + 19.7077i −0.845264 + 1.22458i
\(260\) 0.161783 + 1.33240i 0.0100333 + 0.0826320i
\(261\) −8.36165 7.40778i −0.517573 0.458530i
\(262\) 8.07126 + 7.15051i 0.498644 + 0.441760i
\(263\) 26.6771 6.57532i 1.64498 0.405451i 0.695312 0.718708i \(-0.255266\pi\)
0.949669 + 0.313256i \(0.101420\pi\)
\(264\) 0.0487896 + 0.0706839i 0.00300279 + 0.00435029i
\(265\) 18.8004 16.6557i 1.15490 1.02315i
\(266\) −29.6026 + 15.5366i −1.81505 + 0.952611i
\(267\) 0.253924 + 2.09125i 0.0155399 + 0.127983i
\(268\) −5.95329 3.12453i −0.363655 0.190861i
\(269\) −1.65295 13.6132i −0.100782 0.830014i −0.952189 0.305509i \(-0.901173\pi\)
0.851407 0.524505i \(-0.175750\pi\)
\(270\) 6.32198 1.55823i 0.384743 0.0948307i
\(271\) −5.46262 + 2.86701i −0.331831 + 0.174158i −0.622407 0.782694i \(-0.713845\pi\)
0.290577 + 0.956852i \(0.406153\pi\)
\(272\) −1.17291 9.65976i −0.0711180 0.585709i
\(273\) 0.00913648 + 0.0752456i 0.000552965 + 0.00455407i
\(274\) −1.54115 12.6925i −0.0931040 0.766780i
\(275\) −2.71205 22.3358i −0.163543 1.34690i
\(276\) 0.428965 0.225138i 0.0258207 0.0135517i
\(277\) −3.01065 + 0.742059i −0.180893 + 0.0445860i −0.328721 0.944427i \(-0.606618\pi\)
0.147829 + 0.989013i \(0.452772\pi\)
\(278\) −2.04771 16.8644i −0.122814 1.01146i
\(279\) −26.6479 13.9859i −1.59537 0.837315i
\(280\) −0.476151 3.92146i −0.0284555 0.234352i
\(281\) −2.79589 + 1.46740i −0.166789 + 0.0875376i −0.546052 0.837751i \(-0.683870\pi\)
0.379263 + 0.925289i \(0.376178\pi\)
\(282\) −1.56732 + 1.38852i −0.0933324 + 0.0826853i
\(283\) 7.19061 + 10.4174i 0.427438 + 0.619250i 0.976237 0.216703i \(-0.0695305\pi\)
−0.548800 + 0.835954i \(0.684915\pi\)
\(284\) −23.8980 + 5.89033i −1.41809 + 0.349527i
\(285\) −1.89197 1.67614i −0.112071 0.0992861i
\(286\) 0.528573 + 0.468275i 0.0312552 + 0.0276897i
\(287\) 2.92285 + 24.0718i 0.172530 + 1.42091i
\(288\) −13.7181 + 19.8742i −0.808350 + 1.17110i
\(289\) 3.56873 9.40998i 0.209925 0.553528i
\(290\) −26.4686 13.8918i −1.55429 0.815753i
\(291\) 0.948887 + 1.37470i 0.0556248 + 0.0805864i
\(292\) −9.89862 + 14.3406i −0.579273 + 0.839221i
\(293\) 0.718381 + 5.91640i 0.0419682 + 0.345640i 0.998534 + 0.0541237i \(0.0172365\pi\)
−0.956566 + 0.291516i \(0.905840\pi\)
\(294\) −0.170075 1.40069i −0.00991896 0.0816900i
\(295\) 0.401051 3.30296i 0.0233501 0.192306i
\(296\) −1.76884 + 0.928360i −0.102812 + 0.0539598i
\(297\) 1.00648 1.45814i 0.0584020 0.0846099i
\(298\) 7.87990 + 20.7776i 0.456470 + 1.20361i
\(299\) 0.198249 0.175633i 0.0114650 0.0101571i
\(300\) 2.68284 1.40806i 0.154894 0.0812946i
\(301\) 3.29767 27.1587i 0.190074 1.56540i
\(302\) 27.8358 + 40.3271i 1.60177 + 2.32056i
\(303\) −0.452680 + 1.19362i −0.0260058 + 0.0685717i
\(304\) 17.4613 1.00148
\(305\) 11.3829 2.80562i 0.651781 0.160650i
\(306\) 14.1504 7.42671i 0.808925 0.424557i
\(307\) 2.59935 21.4076i 0.148353 1.22179i −0.708304 0.705907i \(-0.750540\pi\)
0.856657 0.515886i \(-0.172537\pi\)
\(308\) −12.1002 10.7198i −0.689471 0.610818i
\(309\) 0.429671 + 0.622486i 0.0244431 + 0.0354120i
\(310\) −78.1914 19.2724i −4.44097 1.09460i
\(311\) 6.23091 + 5.52011i 0.353323 + 0.313017i 0.821050 0.570856i \(-0.193389\pi\)
−0.467727 + 0.883873i \(0.654927\pi\)
\(312\) −0.00224224 + 0.00591229i −0.000126942 + 0.000334718i
\(313\) −1.07829 + 8.88054i −0.0609487 + 0.501958i 0.929984 + 0.367600i \(0.119820\pi\)
−0.990933 + 0.134358i \(0.957103\pi\)
\(314\) −5.20660 42.8802i −0.293826 2.41987i
\(315\) −35.9656 + 18.8762i −2.02643 + 1.06355i
\(316\) −0.773852 0.406149i −0.0435326 0.0228477i
\(317\) −9.16129 + 13.2724i −0.514549 + 0.745453i −0.991017 0.133739i \(-0.957302\pi\)
0.476467 + 0.879192i \(0.341917\pi\)
\(318\) 1.72785 0.425877i 0.0968930 0.0238820i
\(319\) −7.89778 + 1.94663i −0.442191 + 0.108990i
\(320\) −12.6434 + 33.3378i −0.706785 + 1.86364i
\(321\) −1.48832 + 2.15620i −0.0830699 + 0.120348i
\(322\) −8.77492 + 7.77390i −0.489007 + 0.433222i
\(323\) −11.0207 5.78412i −0.613210 0.321837i
\(324\) −18.3740 4.52878i −1.02078 0.251599i
\(325\) 1.23989 1.09845i 0.0687769 0.0609310i
\(326\) −7.44849 10.7910i −0.412534 0.597658i
\(327\) −1.89434 0.994227i −0.104757 0.0549809i
\(328\) −0.717314 + 1.89140i −0.0396070 + 0.104435i
\(329\) 14.8868 21.5673i 0.820736 1.18904i
\(330\) 0.837989 2.20959i 0.0461298 0.121634i
\(331\) −0.289363 + 0.762988i −0.0159048 + 0.0419376i −0.942734 0.333547i \(-0.891754\pi\)
0.926829 + 0.375485i \(0.122524\pi\)
\(332\) −2.80662 23.1146i −0.154034 1.26858i
\(333\) 15.3750 + 13.6211i 0.842544 + 0.746429i
\(334\) 1.38849 0.728735i 0.0759748 0.0398746i
\(335\) 1.48270 + 12.2112i 0.0810088 + 0.667167i
\(336\) −0.621371 + 1.63842i −0.0338985 + 0.0893831i
\(337\) 12.5445 + 33.0771i 0.683341 + 1.80182i 0.591898 + 0.806013i \(0.298379\pi\)
0.0914435 + 0.995810i \(0.470852\pi\)
\(338\) 3.18301 26.2144i 0.173133 1.42588i
\(339\) 0.277369 + 0.145574i 0.0150646 + 0.00790652i
\(340\) 16.5548 14.6663i 0.897810 0.795390i
\(341\) −19.4035 + 10.1838i −1.05076 + 0.551482i
\(342\) 10.1690 + 26.8135i 0.549878 + 1.44991i
\(343\) −2.36561 6.23759i −0.127731 0.336798i
\(344\) 1.29647 1.87826i 0.0699010 0.101269i
\(345\) −0.784814 0.411902i −0.0422530 0.0221761i
\(346\) −14.9802 3.69229i −0.805341 0.198499i
\(347\) −11.1709 29.4552i −0.599684 1.58124i −0.799019 0.601306i \(-0.794647\pi\)
0.199334 0.979932i \(-0.436122\pi\)
\(348\) −0.622241 0.901472i −0.0333556 0.0483240i
\(349\) −15.4367 13.6757i −0.826308 0.732045i 0.139801 0.990180i \(-0.455354\pi\)
−0.966109 + 0.258134i \(0.916892\pi\)
\(350\) −54.8803 + 48.6197i −2.93347 + 2.59883i
\(351\) 0.130441 0.00696245
\(352\) 6.23533 + 16.4412i 0.332344 + 0.876320i
\(353\) −7.54769 + 3.96133i −0.401723 + 0.210841i −0.653470 0.756953i \(-0.726687\pi\)
0.251747 + 0.967793i \(0.418995\pi\)
\(354\) 0.133913 0.194006i 0.00711738 0.0103113i
\(355\) 33.7063 + 29.8612i 1.78895 + 1.58487i
\(356\) 3.98699 32.8358i 0.211310 1.74030i
\(357\) 0.934911 0.828259i 0.0494808 0.0438361i
\(358\) −3.91240 32.2215i −0.206777 1.70296i
\(359\) −14.3072 20.7276i −0.755108 1.09396i −0.992464 0.122540i \(-0.960896\pi\)
0.237356 0.971423i \(-0.423719\pi\)
\(360\) −3.38842 −0.178586
\(361\) 1.89419 2.74421i 0.0996943 0.144432i
\(362\) −11.1501 + 29.4005i −0.586037 + 1.54525i
\(363\) 0.304215 + 0.802148i 0.0159671 + 0.0421019i
\(364\) 0.143456 1.18147i 0.00751916 0.0619258i
\(365\) 31.8802 1.66869
\(366\) 0.806482 + 0.198780i 0.0421555 + 0.0103904i
\(367\) 3.06463 + 25.2395i 0.159972 + 1.31749i 0.822633 + 0.568572i \(0.192504\pi\)
−0.662661 + 0.748919i \(0.730573\pi\)
\(368\) 5.94501 1.46531i 0.309905 0.0763848i
\(369\) 20.7998 1.08279
\(370\) 48.6691 + 25.5435i 2.53019 + 1.32794i
\(371\) −19.7208 + 10.3503i −1.02385 + 0.537359i
\(372\) −2.20882 1.95685i −0.114522 0.101458i
\(373\) 13.8026 12.2281i 0.714673 0.633145i −0.225341 0.974280i \(-0.572350\pi\)
0.940014 + 0.341135i \(0.110811\pi\)
\(374\) 1.40262 11.5516i 0.0725276 0.597318i
\(375\) −2.54048 1.33335i −0.131190 0.0688539i
\(376\) 1.93574 1.01596i 0.0998283 0.0523940i
\(377\) −0.448247 0.397112i −0.0230859 0.0204523i
\(378\) −5.77361 −0.296963
\(379\) −10.7779 2.65652i −0.553625 0.136456i −0.0474287 0.998875i \(-0.515103\pi\)
−0.506196 + 0.862418i \(0.668949\pi\)
\(380\) 22.5453 + 32.6625i 1.15655 + 1.67555i
\(381\) 1.89965 0.468222i 0.0973221 0.0239877i
\(382\) 35.5816 + 8.77009i 1.82052 + 0.448717i
\(383\) −6.19947 1.52803i −0.316778 0.0780788i 0.0777209 0.996975i \(-0.475236\pi\)
−0.394499 + 0.918896i \(0.629082\pi\)
\(384\) −0.236308 + 0.209351i −0.0120591 + 0.0106834i
\(385\) −3.56498 + 29.3603i −0.181688 + 1.49634i
\(386\) 26.8324 + 23.7715i 1.36573 + 1.20994i
\(387\) −22.7852 5.61605i −1.15824 0.285480i
\(388\) −9.30042 24.5232i −0.472157 1.24498i
\(389\) 11.6769 30.7894i 0.592041 1.56108i −0.218771 0.975776i \(-0.570205\pi\)
0.810812 0.585307i \(-0.199026\pi\)
\(390\) 0.168925 0.0416363i 0.00855386 0.00210834i
\(391\) −4.23759 1.04447i −0.214304 0.0528213i
\(392\) −0.177567 + 1.46239i −0.00896848 + 0.0738621i
\(393\) 0.410661 0.594945i 0.0207151 0.0300110i
\(394\) −14.2585 20.6569i −0.718331 1.04068i
\(395\) 0.192733 + 1.58730i 0.00969743 + 0.0798655i
\(396\) −10.3792 + 9.19516i −0.521574 + 0.462074i
\(397\) 13.8101 + 20.0074i 0.693111 + 1.00414i 0.998649 + 0.0519643i \(0.0165482\pi\)
−0.305538 + 0.952180i \(0.598836\pi\)
\(398\) −28.3661 + 14.8877i −1.42186 + 0.746251i
\(399\) 1.27322 + 1.84457i 0.0637406 + 0.0923442i
\(400\) 37.1814 9.16440i 1.85907 0.458220i
\(401\) −26.0986 13.6976i −1.30330 0.684025i −0.337016 0.941499i \(-0.609418\pi\)
−0.966285 + 0.257473i \(0.917110\pi\)
\(402\) −0.309046 + 0.814887i −0.0154138 + 0.0406429i
\(403\) −1.42853 0.749749i −0.0711600 0.0373477i
\(404\) 11.3864 16.4960i 0.566494 0.820708i
\(405\) 12.2772 + 32.3724i 0.610060 + 1.60860i
\(406\) 19.8403 + 17.5770i 0.984660 + 0.872332i
\(407\) 14.5220 3.57936i 0.719831 0.177422i
\(408\) 0.101168 0.0249357i 0.00500856 0.00123450i
\(409\) −15.6759 22.7105i −0.775124 1.12296i −0.989261 0.146157i \(-0.953309\pi\)
0.214137 0.976804i \(-0.431306\pi\)
\(410\) 54.0408 13.3199i 2.66889 0.657821i
\(411\) −0.832262 + 0.205134i −0.0410525 + 0.0101185i
\(412\) −4.21138 11.1045i −0.207480 0.547079i
\(413\) −1.04620 + 2.75859i −0.0514800 + 0.135741i
\(414\) 5.71235 + 8.27577i 0.280747 + 0.406732i
\(415\) −31.8866 + 28.2490i −1.56525 + 1.38669i
\(416\) −0.735395 + 1.06540i −0.0360557 + 0.0522357i
\(417\) −1.10582 + 0.272561i −0.0541523 + 0.0133473i
\(418\) 20.2743 + 4.99716i 0.991647 + 0.244419i
\(419\) 2.89877 2.56809i 0.141614 0.125459i −0.589342 0.807884i \(-0.700613\pi\)
0.730956 + 0.682425i \(0.239074\pi\)
\(420\) −3.86706 + 0.953144i −0.188693 + 0.0465087i
\(421\) −26.4952 −1.29130 −0.645648 0.763635i \(-0.723413\pi\)
−0.645648 + 0.763635i \(0.723413\pi\)
\(422\) 37.6691 + 19.7703i 1.83370 + 0.962402i
\(423\) −16.8257 14.9063i −0.818095 0.724769i
\(424\) −1.85795 −0.0902301
\(425\) −26.5028 6.53236i −1.28558 0.316866i
\(426\) 1.13136 + 2.98315i 0.0548146 + 0.144534i
\(427\) −10.3955 −0.503074
\(428\) 30.7920 27.2793i 1.48839 1.31860i
\(429\) 0.0268935 0.0389619i 0.00129843 0.00188110i
\(430\) −62.7956 −3.02827
\(431\) 15.9745 + 23.1430i 0.769462 + 1.11476i 0.990232 + 0.139432i \(0.0445278\pi\)
−0.220769 + 0.975326i \(0.570857\pi\)
\(432\) 2.67011 + 1.40138i 0.128466 + 0.0674240i
\(433\) −1.38349 3.64796i −0.0664862 0.175310i 0.897655 0.440698i \(-0.145269\pi\)
−0.964142 + 0.265388i \(0.914500\pi\)
\(434\) 63.2296 + 33.1855i 3.03512 + 1.59295i
\(435\) −0.710641 + 1.87381i −0.0340727 + 0.0898422i
\(436\) 25.1438 + 22.2754i 1.20417 + 1.06680i
\(437\) 2.77717 7.32281i 0.132850 0.350297i
\(438\) 2.00001 + 1.04968i 0.0955641 + 0.0501559i
\(439\) −11.3946 2.80853i −0.543836 0.134044i −0.0421791 0.999110i \(-0.513430\pi\)
−0.501657 + 0.865066i \(0.667276\pi\)
\(440\) −1.40156 + 2.03052i −0.0668170 + 0.0968011i
\(441\) 14.7072 3.62501i 0.700344 0.172619i
\(442\) 0.758568 0.398127i 0.0360814 0.0189370i
\(443\) −6.28592 + 16.5746i −0.298653 + 0.787483i 0.698744 + 0.715372i \(0.253743\pi\)
−0.997397 + 0.0721111i \(0.977026\pi\)
\(444\) 1.14415 + 1.65758i 0.0542988 + 0.0786653i
\(445\) −53.5844 + 28.1232i −2.54014 + 1.33317i
\(446\) −0.733279 + 1.93350i −0.0347218 + 0.0915538i
\(447\) 1.31912 0.692329i 0.0623924 0.0327460i
\(448\) 17.9599 26.0194i 0.848524 1.22930i
\(449\) 0.0852178 + 0.701832i 0.00402168 + 0.0331215i 0.994582 0.103959i \(-0.0331511\pi\)
−0.990560 + 0.137081i \(0.956228\pi\)
\(450\) 35.7263 + 51.7585i 1.68415 + 2.43992i
\(451\) 8.60349 12.4643i 0.405122 0.586921i
\(452\) −3.68155 3.26156i −0.173165 0.153411i
\(453\) 2.45893 2.17842i 0.115531 0.102351i
\(454\) 22.5315 + 11.8254i 1.05746 + 0.554995i
\(455\) −1.92802 + 1.01191i −0.0903872 + 0.0474389i
\(456\) 0.0225373 + 0.185611i 0.00105540 + 0.00869203i
\(457\) 10.8908 2.68434i 0.509450 0.125568i 0.0237916 0.999717i \(-0.492426\pi\)
0.485658 + 0.874149i \(0.338580\pi\)
\(458\) −0.105745 0.870886i −0.00494113 0.0406938i
\(459\) −1.22103 1.76897i −0.0569928 0.0825683i
\(460\) 10.4169 + 9.22858i 0.485691 + 0.430285i
\(461\) 9.67904 25.5215i 0.450798 1.18866i −0.496425 0.868080i \(-0.665354\pi\)
0.947223 0.320577i \(-0.103877\pi\)
\(462\) −1.19036 + 1.72454i −0.0553806 + 0.0802327i
\(463\) −0.435468 + 3.58640i −0.0202379 + 0.166674i −0.999324 0.0367741i \(-0.988292\pi\)
0.979086 + 0.203448i \(0.0652149\pi\)
\(464\) −4.90920 12.9445i −0.227904 0.600933i
\(465\) −0.650770 + 5.35957i −0.0301787 + 0.248544i
\(466\) −10.1079 −0.468239
\(467\) 1.76519 14.5377i 0.0816834 0.672723i −0.893145 0.449768i \(-0.851507\pi\)
0.974829 0.222955i \(-0.0715704\pi\)
\(468\) −0.991211 0.244312i −0.0458187 0.0112933i
\(469\) 1.31475 10.8279i 0.0607093 0.499986i
\(470\) −53.2613 27.9537i −2.45676 1.28941i
\(471\) −2.81171 + 0.693025i −0.129557 + 0.0319329i
\(472\) −0.184223 + 0.163207i −0.00847955 + 0.00751223i
\(473\) −12.7901 + 11.3311i −0.588091 + 0.521003i
\(474\) −0.0401720 + 0.105925i −0.00184516 + 0.00486529i
\(475\) 17.3691 45.7984i 0.796947 2.10138i
\(476\) −17.3652 + 9.11398i −0.795934 + 0.417738i
\(477\) 6.77445 + 17.8628i 0.310181 + 0.817880i
\(478\) 25.4266 22.5260i 1.16299 1.03032i
\(479\) 8.65816 + 22.8297i 0.395601 + 1.04312i 0.973837 + 0.227246i \(0.0729721\pi\)
−0.578236 + 0.815870i \(0.696259\pi\)
\(480\) 4.20632 + 1.03677i 0.191991 + 0.0473216i
\(481\) 0.824214 + 0.730190i 0.0375809 + 0.0332938i
\(482\) 11.6886 + 30.8202i 0.532399 + 1.40382i
\(483\) 0.588282 + 0.521172i 0.0267678 + 0.0237142i
\(484\) −1.62366 13.3721i −0.0738029 0.607821i
\(485\) −27.2584 + 39.4906i −1.23774 + 1.79318i
\(486\) −0.896356 + 7.38216i −0.0406595 + 0.334862i
\(487\) 2.90349 + 23.9124i 0.131570 + 1.08357i 0.897613 + 0.440785i \(0.145300\pi\)
−0.766043 + 0.642789i \(0.777777\pi\)
\(488\) −0.767875 0.403012i −0.0347600 0.0182435i
\(489\) −0.657977 + 0.582917i −0.0297548 + 0.0263604i
\(490\) 35.8900 18.8365i 1.62135 0.850948i
\(491\) 15.6505 + 3.85750i 0.706297 + 0.174086i 0.576073 0.817398i \(-0.304584\pi\)
0.130223 + 0.991485i \(0.458431\pi\)
\(492\) 1.98025 + 0.488087i 0.0892764 + 0.0220047i
\(493\) −1.18946 + 9.79612i −0.0535708 + 0.441195i
\(494\) 0.545135 + 1.43740i 0.0245268 + 0.0646718i
\(495\) 24.6322 + 6.07130i 1.10714 + 0.272884i
\(496\) −21.1868 30.6944i −0.951317 1.37822i
\(497\) −22.6829 32.8619i −1.01747 1.47406i
\(498\) −2.93053 + 0.722311i −0.131320 + 0.0323675i
\(499\) 2.88906 + 1.51630i 0.129332 + 0.0678788i 0.528148 0.849152i \(-0.322887\pi\)
−0.398816 + 0.917031i \(0.630579\pi\)
\(500\) 33.7201 + 29.8734i 1.50801 + 1.33598i
\(501\) −0.0597194 0.0865186i −0.00266807 0.00386536i
\(502\) 2.36438 + 6.23437i 0.105528 + 0.278253i
\(503\) −1.17982 + 1.04523i −0.0526057 + 0.0466046i −0.689016 0.724746i \(-0.741957\pi\)
0.636410 + 0.771351i \(0.280419\pi\)
\(504\) 2.91728 + 0.719046i 0.129946 + 0.0320288i
\(505\) −36.6719 −1.63188
\(506\) 7.32208 0.325506
\(507\) −1.77036 −0.0786243
\(508\) −30.7200 −1.36298
\(509\) −13.5679 35.7756i −0.601386 1.58572i −0.796298 0.604904i \(-0.793211\pi\)
0.194912 0.980821i \(-0.437558\pi\)
\(510\) −2.14591 1.90111i −0.0950226 0.0841827i
\(511\) −27.4475 6.76519i −1.21420 0.299275i
\(512\) −28.3966 + 14.9037i −1.25496 + 0.658656i
\(513\) 3.41529 1.79248i 0.150789 0.0791401i
\(514\) 0.635591 0.920813i 0.0280347 0.0406153i
\(515\) −12.3430 + 17.8820i −0.543899 + 0.787974i
\(516\) −2.03748 1.06935i −0.0896951 0.0470756i
\(517\) −15.8923 + 3.91710i −0.698942 + 0.172274i
\(518\) −36.4814 32.3197i −1.60290 1.42005i
\(519\) −0.124677 + 1.02681i −0.00547271 + 0.0450719i
\(520\) −0.181645 −0.00796565
\(521\) 0.969517 7.98469i 0.0424753 0.349816i −0.955941 0.293559i \(-0.905160\pi\)
0.998416 0.0562568i \(-0.0179166\pi\)
\(522\) 17.0185 15.0771i 0.744880 0.659906i
\(523\) −3.14652 + 8.29669i −0.137588 + 0.362789i −0.986046 0.166473i \(-0.946762\pi\)
0.848458 + 0.529262i \(0.177531\pi\)
\(524\) −8.49620 + 7.52698i −0.371158 + 0.328818i
\(525\) 3.67924 + 3.25953i 0.160575 + 0.142257i
\(526\) 6.74053 + 55.5132i 0.293901 + 2.42049i
\(527\) 3.20445 + 26.3910i 0.139588 + 1.14961i
\(528\) 0.969087 0.508616i 0.0421741 0.0221347i
\(529\) −2.44132 + 20.1061i −0.106144 + 0.874177i
\(530\) 29.0400 + 42.0717i 1.26142 + 1.82748i
\(531\) 2.24082 + 1.17608i 0.0972435 + 0.0510373i
\(532\) −12.4793 32.9052i −0.541047 1.42662i
\(533\) 1.11502 0.0482971
\(534\) −4.28760 −0.185543
\(535\) −73.0765 18.0117i −3.15937 0.778715i
\(536\) 0.516890 0.748844i 0.0223262 0.0323451i
\(537\) −2.11280 + 0.520759i −0.0911742 + 0.0224724i
\(538\) 27.9106 1.20331
\(539\) 3.91111 10.3127i 0.168463 0.444201i
\(540\) 0.826157 + 6.80402i 0.0355521 + 0.292798i
\(541\) −3.40291 + 28.0255i −0.146302 + 1.20491i 0.715848 + 0.698256i \(0.246040\pi\)
−0.862150 + 0.506653i \(0.830883\pi\)
\(542\) −4.45254 11.7404i −0.191253 0.504293i
\(543\) 2.04678 + 0.504485i 0.0878356 + 0.0216495i
\(544\) 21.3322 0.914610
\(545\) 7.40792 61.0097i 0.317320 2.61337i
\(546\) −0.154273 −0.00660226
\(547\) 23.1800 3.11230i 0.991106 0.133072i
\(548\) 13.4589 0.574934
\(549\) −1.07482 + 8.85198i −0.0458724 + 0.377793i
\(550\) 45.7939 1.95266
\(551\) −17.1932 4.23775i −0.732456 0.180534i
\(552\) 0.0232493 + 0.0613033i 0.000989555 + 0.00260924i
\(553\) 0.170900 1.40749i 0.00726742 0.0598526i
\(554\) −0.760704 6.26496i −0.0323192 0.266173i
\(555\) 1.30669 3.44546i 0.0554660 0.146252i
\(556\) 17.8827 0.758395
\(557\) 36.7598 9.06047i 1.55756 0.383904i 0.635860 0.771804i \(-0.280646\pi\)
0.921702 + 0.387900i \(0.126799\pi\)
\(558\) 34.7955 50.4100i 1.47301 2.13403i
\(559\) −1.22146 0.301062i −0.0516621 0.0127336i
\(560\) −50.3376 −2.12715
\(561\) −0.780121 −0.0329367
\(562\) −2.27891 6.00900i −0.0961301 0.253474i
\(563\) −14.2847 7.49721i −0.602030 0.315970i 0.136030 0.990705i \(-0.456566\pi\)
−0.738060 + 0.674735i \(0.764258\pi\)
\(564\) −1.25210 1.81399i −0.0527231 0.0763826i
\(565\) −1.08467 + 8.93303i −0.0456323 + 0.375816i
\(566\) −22.8120 + 11.9727i −0.958862 + 0.503250i
\(567\) −3.70051 30.4765i −0.155407 1.27989i
\(568\) −0.401511 3.30674i −0.0168470 0.138748i
\(569\) 27.5701 + 24.4250i 1.15580 + 1.02395i 0.999342 + 0.0362631i \(0.0115454\pi\)
0.156456 + 0.987685i \(0.449993\pi\)
\(570\) 3.85074 3.41146i 0.161290 0.142890i
\(571\) 4.85462 12.8006i 0.203159 0.535687i −0.794252 0.607588i \(-0.792137\pi\)
0.997412 + 0.0719006i \(0.0229064\pi\)
\(572\) −0.556402 + 0.492929i −0.0232643 + 0.0206104i
\(573\) 0.296138 2.43892i 0.0123714 0.101887i
\(574\) −49.3533 −2.05997
\(575\) 2.07030 17.0505i 0.0863375 0.711054i
\(576\) −20.2990 17.9834i −0.845794 0.749308i
\(577\) 29.2294 7.20439i 1.21683 0.299923i 0.421914 0.906636i \(-0.361359\pi\)
0.794921 + 0.606713i \(0.207512\pi\)
\(578\) 18.1370 + 9.51903i 0.754400 + 0.395940i
\(579\) 1.36522 1.97786i 0.0567366 0.0821971i
\(580\) 17.8750 25.8963i 0.742217 1.07529i
\(581\) 33.4476 17.5546i 1.38764 0.728289i
\(582\) −3.01032 + 1.57994i −0.124782 + 0.0654906i
\(583\) 13.5064 + 3.32903i 0.559379 + 0.137874i
\(584\) −1.76516 1.56380i −0.0730429 0.0647104i
\(585\) 0.662312 + 1.74637i 0.0273832 + 0.0722036i
\(586\) −12.1301 −0.501090
\(587\) −5.29902 −0.218714 −0.109357 0.994003i \(-0.534879\pi\)
−0.109357 + 0.994003i \(0.534879\pi\)
\(588\) 1.48527 0.0612513
\(589\) −47.7053 −1.96566
\(590\) 6.57511 + 1.62062i 0.270693 + 0.0667199i
\(591\) −1.25955 + 1.11586i −0.0518109 + 0.0459005i
\(592\) 9.02679 + 23.8017i 0.370999 + 0.978243i
\(593\) 22.2547 + 32.2415i 0.913891 + 1.32400i 0.945882 + 0.324512i \(0.105200\pi\)
−0.0319905 + 0.999488i \(0.510185\pi\)
\(594\) 2.69920 + 2.39128i 0.110750 + 0.0981156i
\(595\) 31.7706 + 16.6745i 1.30247 + 0.683588i
\(596\) −22.7119 + 5.59797i −0.930314 + 0.229302i
\(597\) 1.22003 + 1.76753i 0.0499327 + 0.0723400i
\(598\) 0.306225 + 0.443643i 0.0125225 + 0.0181419i
\(599\) 23.7433 + 5.85221i 0.970127 + 0.239115i 0.692375 0.721538i \(-0.256564\pi\)
0.277752 + 0.960653i \(0.410411\pi\)
\(600\) 0.145406 + 0.383404i 0.00593618 + 0.0156524i
\(601\) 5.21664 42.9629i 0.212791 1.75249i −0.360149 0.932895i \(-0.617274\pi\)
0.572940 0.819598i \(-0.305803\pi\)
\(602\) 54.0642 + 13.3256i 2.20349 + 0.543112i
\(603\) −9.08423 2.23906i −0.369939 0.0911817i
\(604\) −45.6726 + 23.9708i −1.85839 + 0.975360i
\(605\) −18.4467 + 16.3424i −0.749967 + 0.664413i
\(606\) −2.30061 1.20745i −0.0934559 0.0490494i
\(607\) 2.50664 + 20.6440i 0.101741 + 0.837915i 0.950840 + 0.309681i \(0.100222\pi\)
−0.849099 + 0.528234i \(0.822855\pi\)
\(608\) −4.61410 + 38.0005i −0.187126 + 1.54113i
\(609\) 1.00947 1.46246i 0.0409056 0.0592620i
\(610\) 2.87612 + 23.6870i 0.116451 + 0.959057i
\(611\) −0.901984 0.799088i −0.0364904 0.0323276i
\(612\) 5.96528 + 15.7291i 0.241132 + 0.635813i
\(613\) 14.0801 + 12.4739i 0.568690 + 0.503816i 0.897757 0.440491i \(-0.145196\pi\)
−0.329067 + 0.944307i \(0.606734\pi\)
\(614\) 42.6155 + 10.5038i 1.71982 + 0.423898i
\(615\) −1.32317 3.48891i −0.0533554 0.140687i
\(616\) 1.63757 1.45076i 0.0659797 0.0584529i
\(617\) 7.29142 + 19.2259i 0.293542 + 0.774005i 0.997937 + 0.0641978i \(0.0204489\pi\)
−0.704396 + 0.709808i \(0.748782\pi\)
\(618\) −1.36312 + 0.715421i −0.0548328 + 0.0287785i
\(619\) 8.84862 23.3319i 0.355656 0.937788i −0.631118 0.775687i \(-0.717404\pi\)
0.986774 0.162101i \(-0.0518271\pi\)
\(620\) 30.0604 79.2626i 1.20725 3.18326i
\(621\) 1.01238 0.896887i 0.0406252 0.0359908i
\(622\) −12.6818 + 11.2351i −0.508494 + 0.450486i
\(623\) 52.1017 12.8419i 2.08741 0.514500i
\(624\) 0.0713461 + 0.0374453i 0.00285613 + 0.00149901i
\(625\) 3.68826 30.3755i 0.147530 1.21502i
\(626\) −17.6783 4.35730i −0.706566 0.174153i
\(627\) 0.168738 1.38968i 0.00673876 0.0554987i
\(628\) 45.4694 1.81443
\(629\) 2.18713 18.0126i 0.0872065 0.718210i
\(630\) −29.3153 77.2981i −1.16795 3.07963i
\(631\) −3.23879 + 26.6739i −0.128934 + 1.06187i 0.774329 + 0.632783i \(0.218088\pi\)
−0.903263 + 0.429087i \(0.858836\pi\)
\(632\) 0.0671891 0.0973402i 0.00267264 0.00387198i
\(633\) 1.01136 2.66673i 0.0401979 0.105993i
\(634\) −24.5689 21.7662i −0.975756 0.864445i
\(635\) 31.9275 + 46.2549i 1.26700 + 1.83557i
\(636\) 0.225796 + 1.85959i 0.00895338 + 0.0737377i
\(637\) 0.788417 0.194327i 0.0312382 0.00769953i
\(638\) −1.99554 16.4347i −0.0790041 0.650657i
\(639\) −30.3278 + 15.9172i −1.19975 + 0.629676i
\(640\) −8.03034 4.21465i −0.317427 0.166599i
\(641\) 31.6141 28.0076i 1.24868 1.10623i 0.258563 0.965994i \(-0.416751\pi\)
0.990118 0.140240i \(-0.0447874\pi\)
\(642\) −3.99140 3.53607i −0.157528 0.139558i
\(643\) 11.7820 17.0692i 0.464638 0.673145i −0.518694 0.854960i \(-0.673582\pi\)
0.983333 + 0.181815i \(0.0581971\pi\)
\(644\) −7.01014 10.1559i −0.276238 0.400200i
\(645\) 0.507447 + 4.17920i 0.0199807 + 0.164556i
\(646\) 14.3903 20.8480i 0.566179 0.820252i
\(647\) 34.2162 17.9581i 1.34518 0.706004i 0.370335 0.928898i \(-0.379243\pi\)
0.974843 + 0.222894i \(0.0715505\pi\)
\(648\) 0.908165 2.39463i 0.0356761 0.0940701i
\(649\) 1.63164 0.856352i 0.0640476 0.0336148i
\(650\) 1.91520 + 2.77464i 0.0751202 + 0.108830i
\(651\) 1.69762 4.47626i 0.0665350 0.175438i
\(652\) 12.2214 6.41429i 0.478627 0.251203i
\(653\) 0.182673 0.0450248i 0.00714854 0.00176196i −0.235740 0.971816i \(-0.575751\pi\)
0.242888 + 0.970054i \(0.421905\pi\)
\(654\) 2.47353 3.58353i 0.0967229 0.140127i
\(655\) 20.1635 + 4.96985i 0.787851 + 0.194188i
\(656\) 22.8243 + 11.9791i 0.891140 + 0.467706i
\(657\) −8.59857 + 22.6726i −0.335462 + 0.884541i
\(658\) 39.9237 + 35.3693i 1.55639 + 1.37884i
\(659\) −5.07403 + 13.3791i −0.197656 + 0.521176i −0.996798 0.0799668i \(-0.974519\pi\)
0.799141 + 0.601143i \(0.205288\pi\)
\(660\) 2.20264 + 1.15604i 0.0857377 + 0.0449986i
\(661\) −10.7829 28.4322i −0.419406 1.10588i −0.963700 0.266989i \(-0.913971\pi\)
0.544293 0.838895i \(-0.316798\pi\)
\(662\) −1.47060 0.771830i −0.0571565 0.0299980i
\(663\) −0.0326263 0.0472673i −0.00126710 0.00183571i
\(664\) 3.15119 0.122290
\(665\) −36.5754 + 52.9886i −1.41833 + 2.05481i
\(666\) −31.2928 + 27.7230i −1.21257 + 1.07424i
\(667\) −6.20936 −0.240428
\(668\) 0.585334 + 1.54340i 0.0226473 + 0.0597159i
\(669\) 0.134605 + 0.0331771i 0.00520412 + 0.00128270i
\(670\) −25.0360 −0.967224
\(671\) 4.85997 + 4.30556i 0.187617 + 0.166214i
\(672\) −3.40145 1.78522i −0.131214 0.0688663i
\(673\) −38.0339 −1.46610 −0.733051 0.680174i \(-0.761904\pi\)
−0.733051 + 0.680174i \(0.761904\pi\)
\(674\) −69.9086 + 17.2309i −2.69278 + 0.663710i
\(675\) 6.33162 5.60933i 0.243704 0.215903i
\(676\) 26.9895 + 6.65232i 1.03806 + 0.255858i
\(677\) 29.9240 7.37560i 1.15007 0.283467i 0.382205 0.924077i \(-0.375165\pi\)
0.767866 + 0.640610i \(0.221318\pi\)
\(678\) −0.362175 + 0.524700i −0.0139092 + 0.0201510i
\(679\) 31.8485 28.2153i 1.22223 1.08280i
\(680\) 1.70033 + 2.46336i 0.0652047 + 0.0944654i
\(681\) 0.604937 1.59509i 0.0231812 0.0611239i
\(682\) −15.8157 41.7025i −0.605614 1.59687i
\(683\) −42.8699 + 10.5665i −1.64037 + 0.404315i −0.948265 0.317481i \(-0.897163\pi\)
−0.692106 + 0.721796i \(0.743317\pi\)
\(684\) −29.3097 + 7.22419i −1.12068 + 0.276224i
\(685\) −13.9878 20.2649i −0.534448 0.774282i
\(686\) 13.1832 3.24936i 0.503336 0.124061i
\(687\) −0.0571051 + 0.0140751i −0.00217870 + 0.000537000i
\(688\) −21.7685 19.2852i −0.829918 0.735243i
\(689\) 0.363161 + 0.957577i 0.0138353 + 0.0364808i
\(690\) 1.02477 1.48464i 0.0390124 0.0565192i
\(691\) −24.9463 13.0928i −0.949003 0.498075i −0.0821398 0.996621i \(-0.526175\pi\)
−0.866864 + 0.498545i \(0.833868\pi\)
\(692\) 5.75908 15.1854i 0.218927 0.577264i
\(693\) −19.9189 10.4542i −0.756656 0.397123i
\(694\) 62.2537 15.3442i 2.36312 0.582456i
\(695\) −18.5856 26.9258i −0.704991 1.02136i
\(696\) 0.131262 0.0688914i 0.00497546 0.00261132i
\(697\) −10.4375 15.1213i −0.395347 0.572759i
\(698\) 31.4184 27.8343i 1.18920 1.05354i
\(699\) 0.0816811 + 0.672705i 0.00308946 + 0.0254440i
\(700\) −43.8429 63.5175i −1.65711 2.40073i
\(701\) −26.1483 + 37.8823i −0.987607 + 1.43080i −0.0869767 + 0.996210i \(0.527721\pi\)
−0.900631 + 0.434586i \(0.856895\pi\)
\(702\) −0.0320010 + 0.263552i −0.00120780 + 0.00994714i
\(703\) 31.6141 + 7.79217i 1.19235 + 0.293887i
\(704\) −19.1729 + 4.72570i −0.722607 + 0.178107i
\(705\) −1.42999 + 3.77057i −0.0538564 + 0.142008i
\(706\) −6.15207 16.2217i −0.231536 0.610510i
\(707\) 31.5729 + 7.78201i 1.18742 + 0.292673i
\(708\) 0.185740 + 0.164551i 0.00698054 + 0.00618422i
\(709\) −2.43141 + 20.0245i −0.0913135 + 0.752035i 0.873083 + 0.487572i \(0.162117\pi\)
−0.964396 + 0.264462i \(0.914806\pi\)
\(710\) −68.6026 + 60.7766i −2.57461 + 2.28091i
\(711\) −1.18083 0.291050i −0.0442848 0.0109152i
\(712\) 4.34639 + 1.07129i 0.162888 + 0.0401483i
\(713\) −16.2421 + 4.00332i −0.608272 + 0.149926i
\(714\) 1.44411 + 2.09215i 0.0540443 + 0.0782968i
\(715\) 1.32047 + 0.325467i 0.0493828 + 0.0121718i
\(716\) 34.1670 1.27688
\(717\) −1.70463 1.51017i −0.0636607 0.0563985i
\(718\) 45.3894 23.8222i 1.69392 0.889036i
\(719\) 40.6209 + 21.3195i 1.51490 + 0.795082i 0.998135 0.0610434i \(-0.0194428\pi\)
0.516768 + 0.856126i \(0.327135\pi\)
\(720\) −5.20455 + 42.8634i −0.193962 + 1.59742i
\(721\) 14.4215 12.7763i 0.537084 0.475815i
\(722\) 5.07988 + 4.50038i 0.189054 + 0.167487i
\(723\) 1.95671 1.02696i 0.0727706 0.0381930i
\(724\) −29.3079 15.3820i −1.08922 0.571667i
\(725\) −38.8347 −1.44229
\(726\) −1.69534 + 0.417865i −0.0629201 + 0.0155084i
\(727\) −2.52437 20.7900i −0.0936236 0.771059i −0.961600 0.274454i \(-0.911503\pi\)
0.867977 0.496605i \(-0.165420\pi\)
\(728\) 0.156388 + 0.0385462i 0.00579613 + 0.00142862i
\(729\) −25.9998 −0.962955
\(730\) −7.82114 + 64.4129i −0.289473 + 2.38403i
\(731\) 7.35093 + 19.3828i 0.271884 + 0.716899i
\(732\) −0.310049 + 0.817531i −0.0114597 + 0.0302168i
\(733\) 4.21593 6.10783i 0.155719 0.225598i −0.737358 0.675503i \(-0.763927\pi\)
0.893077 + 0.449905i \(0.148542\pi\)
\(734\) −51.7473 −1.91003
\(735\) −1.54364 2.23635i −0.0569382 0.0824892i
\(736\) 1.61797 + 13.3252i 0.0596391 + 0.491172i
\(737\) −5.09930 + 4.51758i −0.187835 + 0.166407i
\(738\) −5.10279 + 42.0253i −0.187836 + 1.54697i
\(739\) 14.5887 + 12.9244i 0.536653 + 0.475433i 0.887376 0.461046i \(-0.152526\pi\)
−0.350723 + 0.936479i \(0.614064\pi\)
\(740\) −32.8676 + 47.6169i −1.20824 + 1.75043i
\(741\) 0.0912576 0.0478957i 0.00335243 0.00175949i
\(742\) −16.0743 42.3843i −0.590105 1.55598i
\(743\) 11.0927 0.406950 0.203475 0.979080i \(-0.434776\pi\)
0.203475 + 0.979080i \(0.434776\pi\)
\(744\) 0.298931 0.264830i 0.0109593 0.00970913i
\(745\) 32.0334 + 28.3791i 1.17361 + 1.03973i
\(746\) 21.3202 + 30.8876i 0.780587 + 1.13088i
\(747\) −11.4899 30.2963i −0.420392 1.10848i
\(748\) 11.8931 + 2.93140i 0.434856 + 0.107182i
\(749\) 59.0934 + 31.0146i 2.15923 + 1.13325i
\(750\) 3.31724 4.80585i 0.121128 0.175485i
\(751\) −13.6694 36.0432i −0.498804 1.31524i −0.914077 0.405540i \(-0.867083\pi\)
0.415274 0.909697i \(-0.363686\pi\)
\(752\) −9.87852 26.0475i −0.360233 0.949856i
\(753\) 0.395806 0.207735i 0.0144240 0.00757029i
\(754\) 0.912318 0.808244i 0.0332247 0.0294345i
\(755\) 83.5605 + 43.8559i 3.04108 + 1.59608i
\(756\) 0.732572 6.03327i 0.0266434 0.219428i
\(757\) −16.6899 44.0075i −0.606603 1.59948i −0.787729 0.616022i \(-0.788743\pi\)
0.181126 0.983460i \(-0.442026\pi\)
\(758\) 8.01154 21.1247i 0.290992 0.767283i
\(759\) −0.0591693 0.487303i −0.00214771 0.0176880i
\(760\) −4.75592 + 2.49610i −0.172516 + 0.0905431i
\(761\) −0.212382 0.188154i −0.00769884 0.00682058i 0.659264 0.751911i \(-0.270868\pi\)
−0.666963 + 0.745091i \(0.732406\pi\)
\(762\) 0.479986 + 3.95304i 0.0173881 + 0.143204i
\(763\) −19.3246 + 50.9547i −0.699596 + 1.84468i
\(764\) −13.6792 + 36.0691i −0.494897 + 1.30493i
\(765\) 17.4835 25.3292i 0.632118 0.915780i
\(766\) 4.60824 12.1509i 0.166502 0.439031i
\(767\) 0.120125 + 0.0630464i 0.00433746 + 0.00227647i
\(768\) 1.04512 + 1.51412i 0.0377125 + 0.0546359i
\(769\) 9.49895 8.41534i 0.342541 0.303465i −0.474259 0.880385i \(-0.657284\pi\)
0.816800 + 0.576920i \(0.195746\pi\)
\(770\) −58.4467 14.4058i −2.10627 0.519150i
\(771\) −0.0664186 0.0348592i −0.00239201 0.00125542i
\(772\) −28.2451 + 25.0230i −1.01656 + 0.900598i
\(773\) −17.5069 + 25.3631i −0.629679 + 0.912248i −0.999860 0.0167118i \(-0.994680\pi\)
0.370181 + 0.928960i \(0.379296\pi\)
\(774\) 16.9369 44.6589i 0.608784 1.60523i
\(775\) −101.582 + 25.0377i −3.64893 + 0.899379i
\(776\) 3.44636 0.849452i 0.123717 0.0304935i
\(777\) −1.85615 + 2.68910i −0.0665892 + 0.0964710i
\(778\) 59.3442 + 31.1462i 2.12759 + 1.11665i
\(779\) 29.1942 15.3223i 1.04599 0.548978i
\(780\) 0.0220752 + 0.181805i 0.000790417 + 0.00650967i
\(781\) −3.00615 + 24.7578i −0.107568 + 0.885905i
\(782\) 3.14992 8.30566i 0.112641 0.297010i
\(783\) −2.28901 2.02789i −0.0818025 0.0724707i
\(784\) 18.2265 + 4.49242i 0.650945 + 0.160444i
\(785\) −47.2565 68.4629i −1.68666 2.44354i
\(786\) 1.10132 + 0.975683i 0.0392827 + 0.0348015i
\(787\) 4.83839 39.8478i 0.172470 1.42042i −0.607359 0.794427i \(-0.707771\pi\)
0.779830 0.625992i \(-0.215306\pi\)
\(788\) 23.3951 12.2787i 0.833417 0.437411i
\(789\) 3.64007 0.897198i 0.129590 0.0319411i
\(790\) −3.25436 −0.115785
\(791\) 2.82950 7.46077i 0.100605 0.265275i
\(792\) −1.06604 1.54442i −0.0378800 0.0548787i
\(793\) −0.0576186 + 0.474532i −0.00204610 + 0.0168511i
\(794\) −43.8123 + 22.9945i −1.55484 + 0.816043i
\(795\) 2.56531 2.27266i 0.0909820 0.0806030i
\(796\) −11.9580 31.5308i −0.423842 1.11758i
\(797\) −30.6014 + 44.3337i −1.08396 + 1.57038i −0.295445 + 0.955360i \(0.595468\pi\)
−0.788511 + 0.615021i \(0.789147\pi\)
\(798\) −4.03925 + 2.11996i −0.142988 + 0.0750459i
\(799\) −2.39350 + 19.7122i −0.0846758 + 0.697368i
\(800\) 10.1191 + 83.3385i 0.357765 + 2.94646i
\(801\) −5.54818 45.6933i −0.196035 1.61449i
\(802\) 34.0782 49.3708i 1.20334 1.74335i
\(803\) 10.0299 + 14.5308i 0.353948 + 0.512782i
\(804\) −0.812323 0.426340i −0.0286484 0.0150359i
\(805\) −8.00605 + 21.1102i −0.282176 + 0.744037i
\(806\) 1.86530 2.70235i 0.0657024 0.0951863i
\(807\) −0.225544 1.85752i −0.00793951 0.0653878i
\(808\) 2.03047 + 1.79884i 0.0714316 + 0.0632829i
\(809\) 3.27242 + 2.89911i 0.115052 + 0.101927i 0.718687 0.695333i \(-0.244743\pi\)
−0.603635 + 0.797261i \(0.706282\pi\)
\(810\) −68.4191 + 16.8638i −2.40400 + 0.592533i
\(811\) −0.885013 1.28216i −0.0310770 0.0450228i 0.807137 0.590364i \(-0.201016\pi\)
−0.838214 + 0.545341i \(0.816400\pi\)
\(812\) −20.8849 + 18.5024i −0.732917 + 0.649308i
\(813\) −0.745371 + 0.391201i −0.0261413 + 0.0137200i
\(814\) 3.66930 + 30.2194i 0.128609 + 1.05919i
\(815\) −22.3597 11.7353i −0.783226 0.411069i
\(816\) −0.160043 1.31807i −0.00560261 0.0461416i
\(817\) −36.1179 + 8.90228i −1.26361 + 0.311451i
\(818\) 49.7315 26.1011i 1.73882 0.912603i
\(819\) −0.199629 1.64410i −0.00697562 0.0574494i
\(820\) 7.06206 + 58.1613i 0.246618 + 2.03108i
\(821\) −0.638915 5.26194i −0.0222983 0.183643i 0.977304 0.211841i \(-0.0679460\pi\)
−0.999602 + 0.0281985i \(0.991023\pi\)
\(822\) −0.210288 1.73188i −0.00733465 0.0604063i
\(823\) −29.0528 + 15.2481i −1.01272 + 0.531515i −0.887594 0.460626i \(-0.847625\pi\)
−0.125123 + 0.992141i \(0.539933\pi\)
\(824\) 1.56057 0.384645i 0.0543649 0.0133998i
\(825\) −0.370058 3.04770i −0.0128838 0.106107i
\(826\) −5.31698 2.79056i −0.185001 0.0970961i
\(827\) −1.75231 14.4316i −0.0609339 0.501836i −0.990941 0.134295i \(-0.957123\pi\)
0.930007 0.367541i \(-0.119800\pi\)
\(828\) −9.37277 + 4.91921i −0.325726 + 0.170954i
\(829\) −13.1360 + 11.6375i −0.456233 + 0.404187i −0.859694 0.510810i \(-0.829346\pi\)
0.403461 + 0.914997i \(0.367807\pi\)
\(830\) −49.2535 71.3560i −1.70961 2.47680i
\(831\) −0.410802 + 0.101253i −0.0142505 + 0.00351244i
\(832\) −1.08818 0.964043i −0.0377258 0.0334222i
\(833\) −10.0155 8.87298i −0.347017 0.307430i
\(834\) −0.279409 2.30114i −0.00967514 0.0796819i
\(835\) 1.71554 2.48539i 0.0593688 0.0860106i
\(836\) −7.79436 + 20.5520i −0.269573 + 0.710807i
\(837\) −7.29489 3.82866i −0.252148 0.132338i
\(838\) 4.47757 + 6.48688i 0.154675 + 0.224086i
\(839\) −21.7737 + 31.5447i −0.751712 + 1.08904i 0.241233 + 0.970467i \(0.422448\pi\)
−0.992945 + 0.118576i \(0.962167\pi\)
\(840\) −0.0649705 0.535080i −0.00224170 0.0184620i
\(841\) −1.80328 14.8514i −0.0621822 0.512116i
\(842\) 6.50003 53.5326i 0.224006 1.84485i
\(843\) −0.381498 + 0.200226i −0.0131395 + 0.00689613i
\(844\) −25.4390 + 36.8547i −0.875646 + 1.26859i
\(845\) −18.0340 47.5517i −0.620388 1.63583i
\(846\) 34.2455 30.3388i 1.17738 1.04307i
\(847\) 19.3498 10.1556i 0.664867 0.348949i
\(848\) −2.85378 + 23.5030i −0.0979992 + 0.807096i
\(849\) 0.981155 + 1.42145i 0.0336731 + 0.0487840i
\(850\) 19.7003 51.9455i 0.675715 1.78171i
\(851\) 11.4175 0.391386
\(852\) −3.26087 + 0.803732i −0.111716 + 0.0275354i
\(853\) −12.6251 + 6.62616i −0.432275 + 0.226875i −0.666803 0.745234i \(-0.732338\pi\)
0.234528 + 0.972109i \(0.424645\pi\)
\(854\) 2.55032 21.0038i 0.0872701 0.718734i
\(855\) 41.3391 + 36.6232i 1.41377 + 1.25249i
\(856\) 3.16262 + 4.58185i 0.108096 + 0.156604i
\(857\) 1.29065 + 0.318117i 0.0440878 + 0.0108667i 0.261298 0.965258i \(-0.415850\pi\)
−0.217210 + 0.976125i \(0.569696\pi\)
\(858\) 0.0721234 + 0.0638958i 0.00246225 + 0.00218137i
\(859\) 5.30814 13.9964i 0.181111 0.477552i −0.813458 0.581623i \(-0.802418\pi\)
0.994570 + 0.104072i \(0.0331871\pi\)
\(860\) 7.96768 65.6197i 0.271696 2.23761i
\(861\) 0.398821 + 3.28459i 0.0135918 + 0.111938i
\(862\) −50.6786 + 26.5982i −1.72612 + 0.905937i
\(863\) −17.0171 8.93127i −0.579269 0.304024i 0.149524 0.988758i \(-0.452226\pi\)
−0.728793 + 0.684734i \(0.759918\pi\)
\(864\) −3.75535 + 5.44057i −0.127760 + 0.185092i
\(865\) −28.8500 + 7.11090i −0.980931 + 0.241778i
\(866\) 7.70998 1.90034i 0.261996 0.0645761i
\(867\) 0.486951 1.28399i 0.0165377 0.0436064i
\(868\) −42.7007 + 61.8626i −1.44936 + 2.09975i
\(869\) −0.662844 + 0.587229i −0.0224854 + 0.0199204i
\(870\) −3.61162 1.89552i −0.122445 0.0642643i
\(871\) −0.486982 0.120030i −0.0165008 0.00406707i
\(872\) −3.40283 + 3.01464i −0.115234 + 0.102089i
\(873\) −20.7329 30.0368i −0.701703 1.01659i
\(874\) 14.1141 + 7.40767i 0.477418 + 0.250568i
\(875\) −25.9160 + 68.3349i −0.876121 + 2.31014i
\(876\) −1.35066 + 1.95677i −0.0456346 + 0.0661131i
\(877\) −14.5732 + 38.4262i −0.492100 + 1.29756i 0.427254 + 0.904132i \(0.359481\pi\)
−0.919354 + 0.393431i \(0.871288\pi\)
\(878\) 8.46996 22.3334i 0.285847 0.753717i
\(879\) 0.0980226 + 0.807289i 0.00330622 + 0.0272292i
\(880\) 23.5331 + 20.8485i 0.793302 + 0.702804i
\(881\) −6.07405 + 3.18791i −0.204640 + 0.107403i −0.563930 0.825823i \(-0.690711\pi\)
0.359290 + 0.933226i \(0.383019\pi\)
\(882\) 3.71609 + 30.6047i 0.125127 + 1.03051i
\(883\) 7.86842 20.7473i 0.264793 0.698202i −0.735004 0.678063i \(-0.762820\pi\)
0.999797 0.0201396i \(-0.00641107\pi\)
\(884\) 0.319783 + 0.843199i 0.0107555 + 0.0283598i
\(885\) 0.0547232 0.450686i 0.00183950 0.0151497i
\(886\) −31.9463 16.7667i −1.07326 0.563288i
\(887\) 9.13941 8.09681i 0.306871 0.271864i −0.495605 0.868548i \(-0.665054\pi\)
0.802477 + 0.596684i \(0.203515\pi\)
\(888\) −0.241357 + 0.126674i −0.00809942 + 0.00425090i
\(889\) −17.6725 46.5987i −0.592718 1.56287i
\(890\) −43.6762 115.165i −1.46403 3.86033i
\(891\) −10.8926 + 15.7806i −0.364915 + 0.528670i
\(892\) −1.92741 1.01159i −0.0645346 0.0338704i
\(893\) −34.5971 8.52741i −1.15775 0.285359i
\(894\) 1.07521 + 2.83509i 0.0359603 + 0.0948195i
\(895\) −35.5099 51.4450i −1.18697 1.71962i
\(896\) 6.01939 + 5.33272i 0.201094 + 0.178154i
\(897\) 0.0270510 0.0239651i 0.000903205 0.000800170i
\(898\) −1.43893 −0.0480178
\(899\) 13.4122 + 35.3651i 0.447322 + 1.17949i
\(900\) −58.6194 + 30.7658i −1.95398 + 1.02553i
\(901\) 9.58661 13.8886i 0.319376 0.462697i
\(902\) 23.0730 + 20.4409i 0.768247 + 0.680607i
\(903\) 0.449964 3.70579i 0.0149739 0.123321i
\(904\) 0.498242 0.441404i 0.0165713 0.0146809i
\(905\) 7.29932 + 60.1153i 0.242638 + 1.99830i
\(906\) 3.79817 + 5.50260i 0.126186 + 0.182812i
\(907\) −29.8807 −0.992172 −0.496086 0.868273i \(-0.665230\pi\)
−0.496086 + 0.868273i \(0.665230\pi\)
\(908\) −15.2161 + 22.0444i −0.504965 + 0.731568i
\(909\) 9.89094 26.0803i 0.328062 0.865028i
\(910\) −1.57152 4.14375i −0.0520953 0.137364i
\(911\) 1.18002 9.71830i 0.0390956 0.321982i −0.960020 0.279932i \(-0.909688\pi\)
0.999116 0.0420498i \(-0.0133888\pi\)
\(912\) 2.38259 0.0788953
\(913\) −22.9076 5.64623i −0.758133 0.186863i
\(914\) 2.75179 + 22.6630i 0.0910210 + 0.749625i
\(915\) 1.55318 0.382826i 0.0513467 0.0126558i
\(916\) 0.923470 0.0305123
\(917\) −16.3052 8.55763i −0.538445 0.282598i
\(918\) 3.87369 2.03307i 0.127851 0.0671013i
\(919\) −22.0978 19.5770i −0.728940 0.645785i 0.214729 0.976674i \(-0.431113\pi\)
−0.943670 + 0.330889i \(0.892652\pi\)
\(920\) −1.40977 + 1.24895i −0.0464788 + 0.0411766i
\(921\) 0.354679 2.92105i 0.0116871 0.0962518i
\(922\) 49.1908 + 25.8173i 1.62001 + 0.850248i
\(923\) −1.62579 + 0.853282i −0.0535136 + 0.0280861i
\(924\) −1.65106 1.46271i −0.0543159 0.0481197i
\(925\) 71.4074 2.34786
\(926\) −7.13936 1.75969i −0.234614 0.0578272i
\(927\) −9.38819 13.6011i −0.308349 0.446720i
\(928\) 29.4679 7.26320i 0.967333 0.238426i
\(929\) −0.766735 0.188983i −0.0251558 0.00620034i 0.226718 0.973961i \(-0.427201\pi\)
−0.251873 + 0.967760i \(0.581047\pi\)
\(930\) −10.6692 2.62971i −0.349856 0.0862317i
\(931\) 17.9724 15.9221i 0.589021 0.521827i
\(932\) 1.28252 10.5625i 0.0420102 0.345985i
\(933\) 0.850204 + 0.753215i 0.0278344 + 0.0246592i
\(934\) 28.9398 + 7.13302i 0.946939 + 0.233400i
\(935\) −7.94681 20.9540i −0.259888 0.685270i
\(936\) 0.0489923 0.129182i 0.00160136 0.00422244i
\(937\) 36.4560 8.98559i 1.19096 0.293546i 0.406459 0.913669i \(-0.366763\pi\)
0.784505 + 0.620123i \(0.212917\pi\)
\(938\) 21.5549 + 5.31279i 0.703791 + 0.173469i
\(939\) −0.147132 + 1.21174i −0.00480149 + 0.0395438i
\(940\) 35.9688 52.1099i 1.17317 1.69964i
\(941\) 23.5540 + 34.1239i 0.767840 + 1.11241i 0.990500 + 0.137512i \(0.0439106\pi\)
−0.222660 + 0.974896i \(0.571474\pi\)
\(942\) −0.710438 5.85098i −0.0231473 0.190635i
\(943\) 8.65387 7.66666i 0.281809 0.249661i
\(944\) 1.78160 + 2.58109i 0.0579861 + 0.0840074i
\(945\) −9.84562 + 5.16738i −0.320278 + 0.168095i
\(946\) −19.7562 28.6218i −0.642331 0.930576i
\(947\) 48.1159 11.8595i 1.56356 0.385382i 0.639855 0.768495i \(-0.278994\pi\)
0.923701 + 0.383113i \(0.125148\pi\)
\(948\) −0.105592 0.0554188i −0.00342946 0.00179992i
\(949\) −0.460947 + 1.21542i −0.0149630 + 0.0394541i
\(950\) 88.2730 + 46.3292i 2.86395 + 1.50312i
\(951\) −1.25005 + 1.81101i −0.0405357 + 0.0587261i
\(952\) −0.941170 2.48166i −0.0305035 0.0804311i
\(953\) 15.3031 + 13.5574i 0.495716 + 0.439166i 0.873570 0.486699i \(-0.161799\pi\)
−0.377854 + 0.925865i \(0.623338\pi\)
\(954\) −37.7530 + 9.30529i −1.22230 + 0.301270i
\(955\) 68.5259 16.8901i 2.21744 0.546551i
\(956\) 20.3129 + 29.4283i 0.656966 + 0.951780i
\(957\) −1.07765 + 0.265616i −0.0348354 + 0.00858615i
\(958\) −48.2507 + 11.8927i −1.55891 + 0.384236i
\(959\) 7.74257 + 20.4155i 0.250021 + 0.659250i
\(960\) −1.72518 + 4.54892i −0.0556799 + 0.146816i
\(961\) 40.2736 + 58.3464i 1.29915 + 1.88214i
\(962\) −1.67753 + 1.48616i −0.0540856 + 0.0479157i
\(963\) 32.5194 47.1125i 1.04792 1.51818i
\(964\) −33.6894 + 8.30368i −1.08506 + 0.267444i
\(965\) 67.0322 + 16.5220i 2.15784 + 0.531861i
\(966\) −1.19733 + 1.06074i −0.0385235 + 0.0341289i
\(967\) 25.5543 6.29856i 0.821769 0.202548i 0.194054 0.980991i \(-0.437836\pi\)
0.627715 + 0.778443i \(0.283990\pi\)
\(968\) 1.82300 0.0585934
\(969\) −1.50377 0.789240i −0.0483081 0.0253540i
\(970\) −73.1021 64.7628i −2.34717 2.07941i
\(971\) 26.0243 0.835159 0.417579 0.908640i \(-0.362879\pi\)
0.417579 + 0.908640i \(0.362879\pi\)
\(972\) −7.60043 1.87334i −0.243784 0.0600873i
\(973\) 10.2875 + 27.1259i 0.329802 + 0.869618i
\(974\) −49.0265 −1.57091
\(975\) 0.169183 0.149883i 0.00541818 0.00480009i
\(976\) −6.27751 + 9.09455i −0.200938 + 0.291109i
\(977\) −31.0130 −0.992194 −0.496097 0.868267i \(-0.665234\pi\)
−0.496097 + 0.868267i \(0.665234\pi\)
\(978\) −1.01634 1.47243i −0.0324990 0.0470830i
\(979\) −29.6767 15.5755i −0.948471 0.497796i
\(980\) 15.1299 + 39.8942i 0.483306 + 1.27437i
\(981\) 41.3908 + 21.7236i 1.32151 + 0.693580i
\(982\) −11.6334 + 30.6749i −0.371238 + 0.978875i
\(983\) −20.1920 17.8885i −0.644025 0.570556i 0.276610 0.960982i \(-0.410789\pi\)
−0.920634 + 0.390426i \(0.872328\pi\)
\(984\) −0.0978770 + 0.258080i −0.00312020 + 0.00822730i
\(985\) −42.8026 22.4645i −1.36380 0.715780i
\(986\) −19.5009 4.80654i −0.621035 0.153071i
\(987\) 2.03129 2.94284i 0.0646568 0.0936716i
\(988\) −1.57122 + 0.387270i −0.0499871 + 0.0123207i
\(989\) −11.5499 + 6.06188i −0.367267 + 0.192756i
\(990\) −18.3098 + 48.2790i −0.581924 + 1.53441i
\(991\) 29.9999 + 43.4624i 0.952979 + 1.38063i 0.924562 + 0.381032i \(0.124431\pi\)
0.0284166 + 0.999596i \(0.490953\pi\)
\(992\) 72.3979 37.9974i 2.29864 1.20642i
\(993\) −0.0394834 + 0.104109i −0.00125297 + 0.00330381i
\(994\) 71.9610 37.7680i 2.28246 1.19793i
\(995\) −35.0476 + 50.7752i −1.11108 + 1.60968i
\(996\) −0.382962 3.15398i −0.0121346 0.0999376i
\(997\) 11.0692 + 16.0364i 0.350564 + 0.507879i 0.958108 0.286406i \(-0.0924607\pi\)
−0.607544 + 0.794286i \(0.707845\pi\)
\(998\) −3.77239 + 5.46526i −0.119413 + 0.173000i
\(999\) 4.20892 + 3.72878i 0.133164 + 0.117973i
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 547.2.f.a.46.7 528
547.440 even 13 inner 547.2.f.a.440.7 yes 528
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
547.2.f.a.46.7 528 1.1 even 1 trivial
547.2.f.a.440.7 yes 528 547.440 even 13 inner