Properties

Label 637.2.bl.a.53.14
Level $637$
Weight $2$
Character 637.53
Analytic conductor $5.086$
Analytic rank $0$
Dimension $324$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

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

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(324\)
Relative dimension: \(27\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 53.14
Character \(\chi\) \(=\) 637.53
Dual form 637.2.bl.a.625.14

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.178924 - 0.121988i) q^{2} +(-0.267794 - 0.248477i) q^{3} +(-0.713549 - 1.81809i) q^{4} +(0.350054 - 0.107977i) q^{5} +(0.0176035 + 0.0771261i) q^{6} +(1.05341 - 2.42700i) q^{7} +(-0.190490 + 0.834589i) q^{8} +(-0.214217 - 2.85853i) q^{9} +O(q^{10})\) \(q+(-0.178924 - 0.121988i) q^{2} +(-0.267794 - 0.248477i) q^{3} +(-0.713549 - 1.81809i) q^{4} +(0.350054 - 0.107977i) q^{5} +(0.0176035 + 0.0771261i) q^{6} +(1.05341 - 2.42700i) q^{7} +(-0.190490 + 0.834589i) q^{8} +(-0.214217 - 2.85853i) q^{9} +(-0.0758047 - 0.0233827i) q^{10} +(-0.141088 + 1.88268i) q^{11} +(-0.260670 + 0.664176i) q^{12} +(0.900969 - 0.433884i) q^{13} +(-0.484545 + 0.305744i) q^{14} +(-0.120572 - 0.0580645i) q^{15} +(-2.72756 + 2.53081i) q^{16} +(-0.168351 + 0.0253748i) q^{17} +(-0.310378 + 0.537590i) q^{18} +(-2.91508 - 5.04907i) q^{19} +(-0.446093 - 0.559383i) q^{20} +(-0.885151 + 0.388188i) q^{21} +(0.254909 - 0.319645i) q^{22} +(6.08341 + 0.916926i) q^{23} +(0.258388 - 0.176166i) q^{24} +(-4.02032 + 2.74100i) q^{25} +(-0.214133 - 0.0322754i) q^{26} +(-1.33622 + 1.67557i) q^{27} +(-5.16417 - 0.183420i) q^{28} +(-4.06860 - 5.10186i) q^{29} +(0.0144900 + 0.0250975i) q^{30} +(-4.35293 + 7.53949i) q^{31} +(2.48974 - 0.375267i) q^{32} +(0.505585 - 0.469115i) q^{33} +(0.0332174 + 0.0159967i) q^{34} +(0.106690 - 0.963324i) q^{35} +(-5.04422 + 2.42917i) q^{36} +(2.12034 - 5.40255i) q^{37} +(-0.0943491 + 1.25900i) q^{38} +(-0.349084 - 0.107678i) q^{39} +(0.0234351 + 0.312719i) q^{40} +(0.572888 - 2.50999i) q^{41} +(0.205729 + 0.0385218i) q^{42} +(-1.63890 - 7.18047i) q^{43} +(3.52357 - 1.08688i) q^{44} +(-0.383644 - 0.977508i) q^{45} +(-0.976611 - 0.906163i) q^{46} +(-6.37431 - 4.34593i) q^{47} +1.35927 q^{48} +(-4.78064 - 5.11326i) q^{49} +1.05370 q^{50} +(0.0513886 + 0.0350361i) q^{51} +(-1.43173 - 1.32845i) q^{52} +(1.64928 + 4.20229i) q^{53} +(0.443481 - 0.136796i) q^{54} +(0.153899 + 0.674274i) q^{55} +(1.82488 + 1.34148i) q^{56} +(-0.473934 + 2.07644i) q^{57} +(0.105602 + 1.40916i) q^{58} +(5.03730 + 1.55380i) q^{59} +(-0.0195325 + 0.260644i) q^{60} +(-3.54081 + 9.02183i) q^{61} +(1.69857 - 0.817988i) q^{62} +(-7.16331 - 2.49131i) q^{63} +(6.21346 + 2.99224i) q^{64} +(0.268538 - 0.249167i) q^{65} +(-0.147688 + 0.0222603i) q^{66} +(1.42786 - 2.47313i) q^{67} +(0.166261 + 0.287972i) q^{68} +(-1.40127 - 1.75713i) q^{69} +(-0.136603 + 0.159346i) q^{70} +(9.32415 - 11.6921i) q^{71} +(2.42650 + 0.365737i) q^{72} +(-4.25732 + 2.90259i) q^{73} +(-1.03843 + 0.707986i) q^{74} +(1.75769 + 0.264930i) q^{75} +(-7.09963 + 8.90265i) q^{76} +(4.42064 + 2.32566i) q^{77} +(0.0493240 + 0.0618503i) q^{78} +(-0.994875 - 1.72317i) q^{79} +(-0.681523 + 1.18043i) q^{80} +(-7.72941 + 1.16502i) q^{81} +(-0.408692 + 0.379210i) q^{82} +(3.05507 + 1.47124i) q^{83} +(1.33736 + 1.33230i) q^{84} +(-0.0561920 + 0.0270606i) q^{85} +(-0.582695 + 1.48468i) q^{86} +(-0.178147 + 2.37720i) q^{87} +(-1.54439 - 0.476382i) q^{88} +(-0.370647 - 4.94595i) q^{89} +(-0.0506014 + 0.221699i) q^{90} +(-0.103943 - 2.64371i) q^{91} +(-2.67375 - 11.7145i) q^{92} +(3.03908 - 0.937432i) q^{93} +(0.610363 + 1.55518i) q^{94} +(-1.56562 - 1.45268i) q^{95} +(-0.759982 - 0.518147i) q^{96} +13.6956 q^{97} +(0.231613 + 1.49806i) q^{98} +5.41193 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324 q - 3 q^{2} + 25 q^{4} + q^{5} - 24 q^{6} - 21 q^{7} + 24 q^{8} + 11 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 324 q - 3 q^{2} + 25 q^{4} + q^{5} - 24 q^{6} - 21 q^{7} + 24 q^{8} + 11 q^{9} - 5 q^{10} - 18 q^{11} - 40 q^{12} + 54 q^{13} - 15 q^{14} + 6 q^{15} + 29 q^{16} - 6 q^{17} + 49 q^{18} - 24 q^{19} + 11 q^{20} - 6 q^{22} - 42 q^{23} + 20 q^{24} + 14 q^{25} + 3 q^{26} - 33 q^{27} + 7 q^{28} - 22 q^{29} + 57 q^{30} - 31 q^{31} - 139 q^{32} + 6 q^{33} + 50 q^{34} + 42 q^{35} - 78 q^{36} - 4 q^{37} - 90 q^{38} + 40 q^{40} + 8 q^{41} + 20 q^{42} + 34 q^{43} - 256 q^{44} + 19 q^{45} + 85 q^{46} + 34 q^{47} - 10 q^{48} + 51 q^{49} - 54 q^{50} + 74 q^{51} - 25 q^{52} + 10 q^{53} + 111 q^{54} - 10 q^{55} - 196 q^{56} - 5 q^{57} - 21 q^{58} + 65 q^{59} + 87 q^{60} + 3 q^{61} - 54 q^{62} - 35 q^{63} - 28 q^{64} - q^{65} - 110 q^{66} + 135 q^{67} - 158 q^{68} + 42 q^{69} + 44 q^{70} + 9 q^{71} - 133 q^{72} + 31 q^{73} - 97 q^{74} - 315 q^{75} - 177 q^{76} + 6 q^{77} - 25 q^{78} + 43 q^{79} - 20 q^{80} - 259 q^{81} + 96 q^{82} + 59 q^{83} + 285 q^{84} + 6 q^{85} + 95 q^{86} - 206 q^{87} + 228 q^{88} + 43 q^{89} - 61 q^{90} - 7 q^{91} + 53 q^{92} - 10 q^{93} - 36 q^{94} - 17 q^{95} + 277 q^{96} + 66 q^{97} + 260 q^{98} - 206 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.178924 0.121988i −0.126518 0.0862586i 0.498408 0.866943i \(-0.333918\pi\)
−0.624926 + 0.780684i \(0.714871\pi\)
\(3\) −0.267794 0.248477i −0.154611 0.143458i 0.599074 0.800693i \(-0.295535\pi\)
−0.753686 + 0.657235i \(0.771726\pi\)
\(4\) −0.713549 1.81809i −0.356775 0.909047i
\(5\) 0.350054 0.107977i 0.156549 0.0482889i −0.215490 0.976506i \(-0.569135\pi\)
0.372039 + 0.928217i \(0.378659\pi\)
\(6\) 0.0176035 + 0.0771261i 0.00718661 + 0.0314866i
\(7\) 1.05341 2.42700i 0.398152 0.917319i
\(8\) −0.190490 + 0.834589i −0.0673482 + 0.295072i
\(9\) −0.214217 2.85853i −0.0714057 0.952843i
\(10\) −0.0758047 0.0233827i −0.0239716 0.00739425i
\(11\) −0.141088 + 1.88268i −0.0425395 + 0.567650i 0.934690 + 0.355464i \(0.115677\pi\)
−0.977229 + 0.212186i \(0.931942\pi\)
\(12\) −0.260670 + 0.664176i −0.0752489 + 0.191731i
\(13\) 0.900969 0.433884i 0.249884 0.120338i
\(14\) −0.484545 + 0.305744i −0.129500 + 0.0817134i
\(15\) −0.120572 0.0580645i −0.0311316 0.0149922i
\(16\) −2.72756 + 2.53081i −0.681890 + 0.632702i
\(17\) −0.168351 + 0.0253748i −0.0408311 + 0.00615431i −0.169426 0.985543i \(-0.554191\pi\)
0.128595 + 0.991697i \(0.458953\pi\)
\(18\) −0.310378 + 0.537590i −0.0731568 + 0.126711i
\(19\) −2.91508 5.04907i −0.668765 1.15834i −0.978250 0.207431i \(-0.933490\pi\)
0.309485 0.950904i \(-0.399843\pi\)
\(20\) −0.446093 0.559383i −0.0997495 0.125082i
\(21\) −0.885151 + 0.388188i −0.193156 + 0.0847096i
\(22\) 0.254909 0.319645i 0.0543467 0.0681486i
\(23\) 6.08341 + 0.916926i 1.26848 + 0.191192i 0.748585 0.663039i \(-0.230734\pi\)
0.519894 + 0.854231i \(0.325972\pi\)
\(24\) 0.258388 0.176166i 0.0527433 0.0359598i
\(25\) −4.02032 + 2.74100i −0.804063 + 0.548201i
\(26\) −0.214133 0.0322754i −0.0419950 0.00632972i
\(27\) −1.33622 + 1.67557i −0.257156 + 0.322463i
\(28\) −5.16417 0.183420i −0.975937 0.0346630i
\(29\) −4.06860 5.10186i −0.755519 0.947391i 0.244232 0.969717i \(-0.421464\pi\)
−0.999751 + 0.0223259i \(0.992893\pi\)
\(30\) 0.0144900 + 0.0250975i 0.00264551 + 0.00458215i
\(31\) −4.35293 + 7.53949i −0.781809 + 1.35413i 0.149078 + 0.988825i \(0.452369\pi\)
−0.930887 + 0.365307i \(0.880964\pi\)
\(32\) 2.48974 0.375267i 0.440127 0.0663385i
\(33\) 0.505585 0.469115i 0.0880111 0.0816624i
\(34\) 0.0332174 + 0.0159967i 0.00569674 + 0.00274340i
\(35\) 0.106690 0.963324i 0.0180339 0.162831i
\(36\) −5.04422 + 2.42917i −0.840704 + 0.404862i
\(37\) 2.12034 5.40255i 0.348582 0.888173i −0.643824 0.765173i \(-0.722653\pi\)
0.992407 0.123000i \(-0.0392515\pi\)
\(38\) −0.0943491 + 1.25900i −0.0153055 + 0.204237i
\(39\) −0.349084 0.107678i −0.0558983 0.0172423i
\(40\) 0.0234351 + 0.312719i 0.00370541 + 0.0494453i
\(41\) 0.572888 2.50999i 0.0894701 0.391994i −0.910288 0.413975i \(-0.864140\pi\)
0.999758 + 0.0219808i \(0.00699727\pi\)
\(42\) 0.205729 + 0.0385218i 0.0317446 + 0.00594405i
\(43\) −1.63890 7.18047i −0.249929 1.09501i −0.931638 0.363388i \(-0.881620\pi\)
0.681708 0.731624i \(-0.261237\pi\)
\(44\) 3.52357 1.08688i 0.531198 0.163853i
\(45\) −0.383644 0.977508i −0.0571902 0.145718i
\(46\) −0.976611 0.906163i −0.143993 0.133606i
\(47\) −6.37431 4.34593i −0.929789 0.633919i 0.000794318 1.00000i \(-0.499747\pi\)
−0.930583 + 0.366080i \(0.880700\pi\)
\(48\) 1.35927 0.196194
\(49\) −4.78064 5.11326i −0.682949 0.730466i
\(50\) 1.05370 0.149016
\(51\) 0.0513886 + 0.0350361i 0.00719584 + 0.00490604i
\(52\) −1.43173 1.32845i −0.198545 0.184223i
\(53\) 1.64928 + 4.20229i 0.226546 + 0.577230i 0.998274 0.0587226i \(-0.0187028\pi\)
−0.771728 + 0.635952i \(0.780608\pi\)
\(54\) 0.443481 0.136796i 0.0603501 0.0186155i
\(55\) 0.153899 + 0.674274i 0.0207517 + 0.0909191i
\(56\) 1.82488 + 1.34148i 0.243860 + 0.179263i
\(57\) −0.473934 + 2.07644i −0.0627741 + 0.275031i
\(58\) 0.105602 + 1.40916i 0.0138662 + 0.185032i
\(59\) 5.03730 + 1.55380i 0.655801 + 0.202288i 0.604759 0.796409i \(-0.293269\pi\)
0.0510423 + 0.998696i \(0.483746\pi\)
\(60\) −0.0195325 + 0.260644i −0.00252164 + 0.0336489i
\(61\) −3.54081 + 9.02183i −0.453354 + 1.15513i 0.503355 + 0.864080i \(0.332099\pi\)
−0.956709 + 0.291047i \(0.905996\pi\)
\(62\) 1.69857 0.817988i 0.215718 0.103885i
\(63\) −7.16331 2.49131i −0.902492 0.313875i
\(64\) 6.21346 + 2.99224i 0.776682 + 0.374030i
\(65\) 0.268538 0.249167i 0.0333080 0.0309053i
\(66\) −0.147688 + 0.0222603i −0.0181791 + 0.00274006i
\(67\) 1.42786 2.47313i 0.174441 0.302141i −0.765527 0.643404i \(-0.777521\pi\)
0.939968 + 0.341263i \(0.110855\pi\)
\(68\) 0.166261 + 0.287972i 0.0201621 + 0.0349217i
\(69\) −1.40127 1.75713i −0.168693 0.211534i
\(70\) −0.136603 + 0.159346i −0.0163272 + 0.0190455i
\(71\) 9.32415 11.6921i 1.10657 1.38760i 0.192866 0.981225i \(-0.438222\pi\)
0.913707 0.406374i \(-0.133207\pi\)
\(72\) 2.42650 + 0.365737i 0.285966 + 0.0431025i
\(73\) −4.25732 + 2.90259i −0.498282 + 0.339723i −0.786241 0.617920i \(-0.787976\pi\)
0.287959 + 0.957643i \(0.407023\pi\)
\(74\) −1.03843 + 0.707986i −0.120715 + 0.0823018i
\(75\) 1.75769 + 0.264930i 0.202961 + 0.0305915i
\(76\) −7.09963 + 8.90265i −0.814383 + 1.02120i
\(77\) 4.42064 + 2.32566i 0.503779 + 0.265034i
\(78\) 0.0493240 + 0.0618503i 0.00558484 + 0.00700317i
\(79\) −0.994875 1.72317i −0.111932 0.193872i 0.804617 0.593794i \(-0.202371\pi\)
−0.916549 + 0.399922i \(0.869037\pi\)
\(80\) −0.681523 + 1.18043i −0.0761966 + 0.131976i
\(81\) −7.72941 + 1.16502i −0.858824 + 0.129447i
\(82\) −0.408692 + 0.379210i −0.0451324 + 0.0418768i
\(83\) 3.05507 + 1.47124i 0.335337 + 0.161490i 0.593973 0.804485i \(-0.297559\pi\)
−0.258636 + 0.965975i \(0.583273\pi\)
\(84\) 1.33736 + 1.33230i 0.145918 + 0.145365i
\(85\) −0.0561920 + 0.0270606i −0.00609488 + 0.00293514i
\(86\) −0.582695 + 1.48468i −0.0628336 + 0.160097i
\(87\) −0.178147 + 2.37720i −0.0190993 + 0.254863i
\(88\) −1.54439 0.476382i −0.164633 0.0507824i
\(89\) −0.370647 4.94595i −0.0392885 0.524269i −0.981778 0.190033i \(-0.939141\pi\)
0.942489 0.334237i \(-0.108478\pi\)
\(90\) −0.0506014 + 0.221699i −0.00533385 + 0.0233691i
\(91\) −0.103943 2.64371i −0.0108962 0.277136i
\(92\) −2.67375 11.7145i −0.278758 1.22132i
\(93\) 3.03908 0.937432i 0.315138 0.0972071i
\(94\) 0.610363 + 1.55518i 0.0629541 + 0.160405i
\(95\) −1.56562 1.45268i −0.160629 0.149042i
\(96\) −0.759982 0.518147i −0.0775654 0.0528832i
\(97\) 13.6956 1.39058 0.695291 0.718728i \(-0.255276\pi\)
0.695291 + 0.718728i \(0.255276\pi\)
\(98\) 0.231613 + 1.49806i 0.0233965 + 0.151327i
\(99\) 5.41193 0.543919
\(100\) 7.85210 + 5.35347i 0.785210 + 0.535347i
\(101\) 11.2327 + 10.4225i 1.11770 + 1.03707i 0.999025 + 0.0441396i \(0.0140546\pi\)
0.118673 + 0.992933i \(0.462136\pi\)
\(102\) −0.00492064 0.0125376i −0.000487216 0.00124140i
\(103\) 14.5925 4.50119i 1.43784 0.443515i 0.524745 0.851260i \(-0.324161\pi\)
0.913096 + 0.407745i \(0.133685\pi\)
\(104\) 0.190490 + 0.834589i 0.0186790 + 0.0818382i
\(105\) −0.267935 + 0.231463i −0.0261478 + 0.0225884i
\(106\) 0.217535 0.953082i 0.0211288 0.0925715i
\(107\) 0.667070 + 8.90143i 0.0644881 + 0.860533i 0.931847 + 0.362851i \(0.118196\pi\)
−0.867359 + 0.497683i \(0.834184\pi\)
\(108\) 3.99980 + 1.23378i 0.384881 + 0.118720i
\(109\) 0.625097 8.34134i 0.0598734 0.798955i −0.883755 0.467949i \(-0.844993\pi\)
0.943629 0.331006i \(-0.107388\pi\)
\(110\) 0.0547172 0.139417i 0.00521708 0.0132929i
\(111\) −1.91022 + 0.919916i −0.181310 + 0.0873145i
\(112\) 3.26902 + 9.28577i 0.308893 + 0.877423i
\(113\) −11.1405 5.36498i −1.04801 0.504695i −0.171052 0.985262i \(-0.554717\pi\)
−0.876958 + 0.480567i \(0.840431\pi\)
\(114\) 0.338099 0.313710i 0.0316659 0.0293816i
\(115\) 2.22853 0.335896i 0.207811 0.0313225i
\(116\) −6.37251 + 11.0375i −0.591673 + 1.02481i
\(117\) −1.43327 2.48250i −0.132506 0.229507i
\(118\) −0.711747 0.892503i −0.0655216 0.0821615i
\(119\) −0.115758 + 0.435318i −0.0106116 + 0.0399055i
\(120\) 0.0714278 0.0895676i 0.00652043 0.00817637i
\(121\) 7.35255 + 1.10822i 0.668414 + 0.100747i
\(122\) 1.73409 1.18228i 0.156997 0.107039i
\(123\) −0.777090 + 0.529811i −0.0700678 + 0.0477714i
\(124\) 16.8135 + 2.53423i 1.50990 + 0.227581i
\(125\) −2.25337 + 2.82564i −0.201548 + 0.252733i
\(126\) 0.977775 + 1.31959i 0.0871071 + 0.117559i
\(127\) 4.80147 + 6.02085i 0.426062 + 0.534264i 0.947810 0.318835i \(-0.103292\pi\)
−0.521749 + 0.853099i \(0.674720\pi\)
\(128\) −3.26457 5.65441i −0.288550 0.499784i
\(129\) −1.34529 + 2.33012i −0.118447 + 0.205156i
\(130\) −0.0784431 + 0.0118234i −0.00687991 + 0.00103698i
\(131\) 11.9375 11.0764i 1.04299 0.967751i 0.0434779 0.999054i \(-0.486156\pi\)
0.999510 + 0.0313031i \(0.00996572\pi\)
\(132\) −1.21366 0.584466i −0.105635 0.0508712i
\(133\) −15.3249 + 1.75615i −1.32883 + 0.152277i
\(134\) −0.557170 + 0.268319i −0.0481322 + 0.0231792i
\(135\) −0.286826 + 0.730820i −0.0246860 + 0.0628990i
\(136\) 0.0108916 0.145338i 0.000933943 0.0124626i
\(137\) −19.1791 5.91598i −1.63858 0.505436i −0.667588 0.744531i \(-0.732673\pi\)
−0.970996 + 0.239095i \(0.923149\pi\)
\(138\) 0.0363705 + 0.485331i 0.00309606 + 0.0413141i
\(139\) −0.978708 + 4.28800i −0.0830129 + 0.363703i −0.999324 0.0367639i \(-0.988295\pi\)
0.916311 + 0.400467i \(0.131152\pi\)
\(140\) −1.82754 + 0.493406i −0.154456 + 0.0417005i
\(141\) 0.627141 + 2.74769i 0.0528148 + 0.231397i
\(142\) −3.09461 + 0.954560i −0.259694 + 0.0801049i
\(143\) 0.689750 + 1.75745i 0.0576798 + 0.146966i
\(144\) 7.81868 + 7.25468i 0.651557 + 0.604556i
\(145\) −1.97511 1.34661i −0.164024 0.111830i
\(146\) 1.11582 0.0923456
\(147\) 0.00970269 + 2.55718i 0.000800264 + 0.210913i
\(148\) −11.3353 −0.931757
\(149\) 8.30555 + 5.66263i 0.680417 + 0.463901i 0.853559 0.520996i \(-0.174439\pi\)
−0.173142 + 0.984897i \(0.555392\pi\)
\(150\) −0.282175 0.261820i −0.0230395 0.0213775i
\(151\) −1.03449 2.63584i −0.0841858 0.214502i 0.882582 0.470159i \(-0.155803\pi\)
−0.966768 + 0.255657i \(0.917708\pi\)
\(152\) 4.76919 1.47110i 0.386832 0.119322i
\(153\) 0.108598 + 0.475801i 0.00877967 + 0.0384662i
\(154\) −0.507255 0.955381i −0.0408757 0.0769868i
\(155\) −0.709664 + 3.10924i −0.0570016 + 0.249740i
\(156\) 0.0533197 + 0.711502i 0.00426900 + 0.0569658i
\(157\) 4.20464 + 1.29696i 0.335567 + 0.103509i 0.457959 0.888973i \(-0.348581\pi\)
−0.122393 + 0.992482i \(0.539057\pi\)
\(158\) −0.0322000 + 0.429679i −0.00256170 + 0.0341834i
\(159\) 0.602505 1.53516i 0.0477818 0.121746i
\(160\) 0.831020 0.400198i 0.0656979 0.0316385i
\(161\) 8.63372 13.7985i 0.680432 1.08748i
\(162\) 1.52509 + 0.734446i 0.119823 + 0.0577035i
\(163\) 4.68470 4.34677i 0.366934 0.340465i −0.475059 0.879954i \(-0.657573\pi\)
0.841992 + 0.539489i \(0.181383\pi\)
\(164\) −4.97218 + 0.749435i −0.388262 + 0.0585211i
\(165\) 0.126328 0.218807i 0.00983464 0.0170341i
\(166\) −0.367150 0.635922i −0.0284963 0.0493571i
\(167\) 12.0663 + 15.1307i 0.933718 + 1.17085i 0.985068 + 0.172164i \(0.0550761\pi\)
−0.0513504 + 0.998681i \(0.516353\pi\)
\(168\) −0.155366 0.812683i −0.0119867 0.0626999i
\(169\) 0.623490 0.781831i 0.0479608 0.0601409i
\(170\) 0.0133551 + 0.00201296i 0.00102429 + 0.000154387i
\(171\) −13.8084 + 9.41444i −1.05596 + 0.719940i
\(172\) −11.8853 + 8.10329i −0.906249 + 0.617870i
\(173\) 2.11915 + 0.319410i 0.161116 + 0.0242843i 0.229105 0.973402i \(-0.426420\pi\)
−0.0679889 + 0.997686i \(0.521658\pi\)
\(174\) 0.321865 0.403605i 0.0244005 0.0305973i
\(175\) 2.41736 + 12.6447i 0.182736 + 0.955850i
\(176\) −4.37988 5.49220i −0.330146 0.413990i
\(177\) −0.962878 1.66775i −0.0723743 0.125356i
\(178\) −0.537029 + 0.930161i −0.0402520 + 0.0697185i
\(179\) 25.4455 3.83530i 1.90189 0.286664i 0.910084 0.414425i \(-0.136017\pi\)
0.991805 + 0.127761i \(0.0407791\pi\)
\(180\) −1.50345 + 1.39500i −0.112061 + 0.103977i
\(181\) 12.2616 + 5.90486i 0.911395 + 0.438905i 0.829991 0.557776i \(-0.188345\pi\)
0.0814040 + 0.996681i \(0.474060\pi\)
\(182\) −0.303903 + 0.485702i −0.0225268 + 0.0360026i
\(183\) 3.18993 1.53619i 0.235806 0.113558i
\(184\) −1.92408 + 4.90248i −0.141845 + 0.361416i
\(185\) 0.158882 2.12013i 0.0116812 0.155875i
\(186\) −0.658118 0.203003i −0.0482556 0.0148849i
\(187\) −0.0240205 0.320532i −0.00175656 0.0234396i
\(188\) −3.35293 + 14.6901i −0.244537 + 1.07139i
\(189\) 2.65901 + 5.00807i 0.193415 + 0.364284i
\(190\) 0.102916 + 0.450906i 0.00746633 + 0.0327121i
\(191\) 15.8882 4.90085i 1.14963 0.354613i 0.339350 0.940660i \(-0.389793\pi\)
0.810277 + 0.586047i \(0.199317\pi\)
\(192\) −0.920425 2.34521i −0.0664260 0.169251i
\(193\) −3.89395 3.61306i −0.280293 0.260074i 0.527480 0.849567i \(-0.323137\pi\)
−0.807773 + 0.589494i \(0.799327\pi\)
\(194\) −2.45047 1.67070i −0.175934 0.119950i
\(195\) −0.133825 −0.00958341
\(196\) −5.88516 + 12.3402i −0.420369 + 0.881445i
\(197\) −15.3771 −1.09557 −0.547787 0.836618i \(-0.684529\pi\)
−0.547787 + 0.836618i \(0.684529\pi\)
\(198\) −0.968321 0.660190i −0.0688156 0.0469177i
\(199\) −9.80618 9.09880i −0.695141 0.644997i 0.251286 0.967913i \(-0.419146\pi\)
−0.946428 + 0.322916i \(0.895337\pi\)
\(200\) −1.52179 3.87745i −0.107606 0.274177i
\(201\) −0.996889 + 0.307500i −0.0703151 + 0.0216893i
\(202\) −0.738386 3.23508i −0.0519527 0.227620i
\(203\) −16.6681 + 4.50012i −1.16987 + 0.315846i
\(204\) 0.0270307 0.118429i 0.00189253 0.00829171i
\(205\) −0.0704799 0.940489i −0.00492253 0.0656866i
\(206\) −3.16003 0.974741i −0.220170 0.0679134i
\(207\) 1.31789 17.5860i 0.0915997 1.22231i
\(208\) −1.35937 + 3.46362i −0.0942555 + 0.240159i
\(209\) 9.91707 4.77581i 0.685978 0.330350i
\(210\) 0.0761755 0.00872930i 0.00525661 0.000602379i
\(211\) −6.51940 3.13958i −0.448814 0.216137i 0.195803 0.980643i \(-0.437269\pi\)
−0.644617 + 0.764506i \(0.722983\pi\)
\(212\) 6.46333 5.99709i 0.443903 0.411882i
\(213\) −5.40218 + 0.814247i −0.370151 + 0.0557913i
\(214\) 0.966513 1.67405i 0.0660695 0.114436i
\(215\) −1.34903 2.33659i −0.0920030 0.159354i
\(216\) −1.14388 1.43438i −0.0778309 0.0975969i
\(217\) 13.7129 + 18.5067i 0.930893 + 1.25632i
\(218\) −1.12939 + 1.41621i −0.0764918 + 0.0959177i
\(219\) 1.86131 + 0.280548i 0.125776 + 0.0189577i
\(220\) 1.11608 0.760930i 0.0752460 0.0513019i
\(221\) −0.140669 + 0.0959068i −0.00946245 + 0.00645139i
\(222\) 0.454003 + 0.0684299i 0.0304707 + 0.00459271i
\(223\) 2.08186 2.61057i 0.139412 0.174817i −0.707224 0.706989i \(-0.750053\pi\)
0.846636 + 0.532173i \(0.178624\pi\)
\(224\) 1.71195 6.43790i 0.114384 0.430150i
\(225\) 8.69646 + 10.9050i 0.579764 + 0.727001i
\(226\) 1.33883 + 2.31893i 0.0890579 + 0.154253i
\(227\) 3.29472 5.70662i 0.218678 0.378762i −0.735726 0.677280i \(-0.763159\pi\)
0.954404 + 0.298517i \(0.0964921\pi\)
\(228\) 4.11334 0.619987i 0.272413 0.0410596i
\(229\) 0.745310 0.691546i 0.0492514 0.0456987i −0.655163 0.755487i \(-0.727400\pi\)
0.704415 + 0.709789i \(0.251210\pi\)
\(230\) −0.439711 0.211754i −0.0289937 0.0139626i
\(231\) −0.605951 1.72123i −0.0398686 0.113248i
\(232\) 5.03298 2.42376i 0.330431 0.159127i
\(233\) 6.52465 16.6245i 0.427444 1.08911i −0.541252 0.840860i \(-0.682050\pi\)
0.968696 0.248249i \(-0.0798551\pi\)
\(234\) −0.0463891 + 0.619020i −0.00303255 + 0.0404666i
\(235\) −2.70061 0.833028i −0.176168 0.0543408i
\(236\) −0.769406 10.2670i −0.0500841 0.668326i
\(237\) −0.161747 + 0.708660i −0.0105066 + 0.0460324i
\(238\) 0.0738155 0.0637675i 0.00478475 0.00413343i
\(239\) −3.17092 13.8927i −0.205110 0.898646i −0.967768 0.251844i \(-0.918963\pi\)
0.762658 0.646802i \(-0.223894\pi\)
\(240\) 0.475818 0.146771i 0.0307139 0.00947400i
\(241\) 3.28718 + 8.37561i 0.211746 + 0.539520i 0.996803 0.0799038i \(-0.0254613\pi\)
−0.785056 + 0.619424i \(0.787366\pi\)
\(242\) −1.18036 1.09521i −0.0758761 0.0704027i
\(243\) 7.67159 + 5.23040i 0.492133 + 0.335531i
\(244\) 18.9291 1.21181
\(245\) −2.22560 1.27371i −0.142188 0.0813746i
\(246\) 0.203670 0.0129855
\(247\) −4.81710 3.28425i −0.306505 0.208972i
\(248\) −5.46319 5.06910i −0.346913 0.321888i
\(249\) −0.452560 1.15310i −0.0286798 0.0730750i
\(250\) 0.747875 0.230689i 0.0472998 0.0145900i
\(251\) −0.203614 0.892091i −0.0128520 0.0563083i 0.968095 0.250582i \(-0.0806221\pi\)
−0.980947 + 0.194274i \(0.937765\pi\)
\(252\) 0.581945 + 14.8012i 0.0366591 + 0.932390i
\(253\) −2.58457 + 11.3238i −0.162491 + 0.711919i
\(254\) −0.124624 1.66299i −0.00781962 0.104346i
\(255\) 0.0217718 + 0.00671572i 0.00136341 + 0.000420555i
\(256\) 0.925079 12.3443i 0.0578174 0.771520i
\(257\) 10.7383 27.3608i 0.669838 1.70672i −0.0369722 0.999316i \(-0.511771\pi\)
0.706810 0.707403i \(-0.250133\pi\)
\(258\) 0.524951 0.252803i 0.0326821 0.0157388i
\(259\) −10.8784 10.8372i −0.675950 0.673390i
\(260\) −0.644623 0.310434i −0.0399778 0.0192523i
\(261\) −13.7122 + 12.7231i −0.848767 + 0.787541i
\(262\) −3.48710 + 0.525595i −0.215434 + 0.0324714i
\(263\) 8.15200 14.1197i 0.502674 0.870657i −0.497321 0.867566i \(-0.665683\pi\)
0.999995 0.00309028i \(-0.000983667\pi\)
\(264\) 0.295209 + 0.511318i 0.0181689 + 0.0314694i
\(265\) 1.03109 + 1.29294i 0.0633392 + 0.0794249i
\(266\) 2.95621 + 1.55523i 0.181257 + 0.0953575i
\(267\) −1.12970 + 1.41659i −0.0691363 + 0.0866941i
\(268\) −5.51523 0.831288i −0.336896 0.0507790i
\(269\) −18.4868 + 12.6041i −1.12716 + 0.768485i −0.975511 0.219950i \(-0.929411\pi\)
−0.151649 + 0.988434i \(0.548458\pi\)
\(270\) 0.140471 0.0957717i 0.00854881 0.00582848i
\(271\) −25.7639 3.88328i −1.56504 0.235892i −0.691405 0.722467i \(-0.743008\pi\)
−0.873639 + 0.486575i \(0.838246\pi\)
\(272\) 0.394969 0.495276i 0.0239485 0.0300305i
\(273\) −0.629065 + 0.733798i −0.0380727 + 0.0444115i
\(274\) 2.70992 + 3.39813i 0.163712 + 0.205289i
\(275\) −4.59322 7.95570i −0.276982 0.479747i
\(276\) −2.19476 + 3.80144i −0.132109 + 0.228820i
\(277\) −4.67335 + 0.704395i −0.280795 + 0.0423230i −0.287930 0.957652i \(-0.592967\pi\)
0.00713507 + 0.999975i \(0.497729\pi\)
\(278\) 0.698199 0.647834i 0.0418752 0.0388545i
\(279\) 22.4843 + 10.8279i 1.34610 + 0.648248i
\(280\) 0.783657 + 0.272546i 0.0468324 + 0.0162877i
\(281\) −0.714761 + 0.344211i −0.0426391 + 0.0205339i −0.455082 0.890450i \(-0.650390\pi\)
0.412443 + 0.910984i \(0.364676\pi\)
\(282\) 0.222974 0.568129i 0.0132779 0.0338316i
\(283\) −1.40002 + 18.6819i −0.0832224 + 1.11053i 0.786699 + 0.617336i \(0.211788\pi\)
−0.869922 + 0.493190i \(0.835831\pi\)
\(284\) −27.9106 8.60928i −1.65619 0.510867i
\(285\) 0.0583060 + 0.778040i 0.00345375 + 0.0460871i
\(286\) 0.0909758 0.398591i 0.00537951 0.0235692i
\(287\) −5.48825 4.03445i −0.323961 0.238146i
\(288\) −1.60606 7.03659i −0.0946378 0.414635i
\(289\) −16.2170 + 5.00229i −0.953943 + 0.294253i
\(290\) 0.189124 + 0.481880i 0.0111057 + 0.0282969i
\(291\) −3.66762 3.40305i −0.214999 0.199490i
\(292\) 8.31499 + 5.66907i 0.486598 + 0.331757i
\(293\) −18.8032 −1.09849 −0.549247 0.835660i \(-0.685086\pi\)
−0.549247 + 0.835660i \(0.685086\pi\)
\(294\) 0.310210 0.458724i 0.0180918 0.0267533i
\(295\) 1.93110 0.112433
\(296\) 4.10501 + 2.79875i 0.238599 + 0.162674i
\(297\) −2.96604 2.75208i −0.172107 0.159692i
\(298\) −0.795286 2.02636i −0.0460697 0.117384i
\(299\) 5.87880 1.81337i 0.339980 0.104870i
\(300\) −0.772534 3.38469i −0.0446023 0.195415i
\(301\) −19.1534 3.58640i −1.10399 0.206717i
\(302\) −0.136446 + 0.597810i −0.00785160 + 0.0344001i
\(303\) −0.418324 5.58215i −0.0240321 0.320686i
\(304\) 20.7293 + 6.39413i 1.18891 + 0.366729i
\(305\) −0.265320 + 3.54045i −0.0151922 + 0.202726i
\(306\) 0.0386112 0.0983797i 0.00220726 0.00562399i
\(307\) −1.31609 + 0.633795i −0.0751131 + 0.0361726i −0.471063 0.882099i \(-0.656130\pi\)
0.395950 + 0.918272i \(0.370415\pi\)
\(308\) 1.07392 9.69662i 0.0611924 0.552516i
\(309\) −5.02623 2.42050i −0.285932 0.137698i
\(310\) 0.506266 0.469746i 0.0287540 0.0266798i
\(311\) 16.0260 2.41554i 0.908754 0.136973i 0.322002 0.946739i \(-0.395644\pi\)
0.586752 + 0.809767i \(0.300406\pi\)
\(312\) 0.156364 0.270831i 0.00885238 0.0153328i
\(313\) −1.09406 1.89497i −0.0618401 0.107110i 0.833448 0.552598i \(-0.186364\pi\)
−0.895288 + 0.445488i \(0.853030\pi\)
\(314\) −0.594096 0.744972i −0.0335268 0.0420412i
\(315\) −2.77655 0.0986165i −0.156441 0.00555641i
\(316\) −2.42300 + 3.03835i −0.136304 + 0.170920i
\(317\) −4.22564 0.636912i −0.237335 0.0357726i 0.0292974 0.999571i \(-0.490673\pi\)
−0.266633 + 0.963798i \(0.585911\pi\)
\(318\) −0.295073 + 0.201178i −0.0165469 + 0.0112815i
\(319\) 10.1792 6.94006i 0.569926 0.388569i
\(320\) 2.49814 + 0.376533i 0.139650 + 0.0210489i
\(321\) 2.03316 2.54950i 0.113480 0.142299i
\(322\) −3.22803 + 1.41567i −0.179891 + 0.0788923i
\(323\) 0.618876 + 0.776046i 0.0344352 + 0.0431804i
\(324\) 7.63344 + 13.2215i 0.424080 + 0.734528i
\(325\) −2.43290 + 4.21391i −0.134953 + 0.233746i
\(326\) −1.36846 + 0.206262i −0.0757918 + 0.0114238i
\(327\) −2.24003 + 2.07844i −0.123874 + 0.114938i
\(328\) 1.98568 + 0.956253i 0.109641 + 0.0528002i
\(329\) −17.2624 + 10.8924i −0.951704 + 0.600517i
\(330\) −0.0492949 + 0.0237392i −0.00271360 + 0.00130680i
\(331\) 4.70786 11.9954i 0.258767 0.659329i −0.741161 0.671328i \(-0.765724\pi\)
0.999928 + 0.0119991i \(0.00381953\pi\)
\(332\) 0.494917 6.60421i 0.0271621 0.362453i
\(333\) −15.8976 4.90375i −0.871181 0.268724i
\(334\) −0.313186 4.17917i −0.0171368 0.228674i
\(335\) 0.232786 1.01990i 0.0127185 0.0557233i
\(336\) 1.43188 3.29895i 0.0781152 0.179973i
\(337\) −2.16073 9.46676i −0.117702 0.515687i −0.999064 0.0432461i \(-0.986230\pi\)
0.881362 0.472441i \(-0.156627\pi\)
\(338\) −0.206931 + 0.0638298i −0.0112556 + 0.00347188i
\(339\) 1.65029 + 4.20487i 0.0896314 + 0.228377i
\(340\) 0.0892946 + 0.0828533i 0.00484268 + 0.00449335i
\(341\) −13.5803 9.25891i −0.735416 0.501398i
\(342\) 3.61911 0.195699
\(343\) −17.4459 + 6.21625i −0.941988 + 0.335646i
\(344\) 6.30494 0.339940
\(345\) −0.680249 0.463786i −0.0366234 0.0249694i
\(346\) −0.340201 0.315661i −0.0182893 0.0169700i
\(347\) −0.489096 1.24620i −0.0262561 0.0668994i 0.917145 0.398555i \(-0.130488\pi\)
−0.943401 + 0.331655i \(0.892393\pi\)
\(348\) 4.44909 1.37236i 0.238496 0.0735664i
\(349\) 1.16273 + 5.09427i 0.0622398 + 0.272690i 0.996467 0.0839890i \(-0.0267661\pi\)
−0.934227 + 0.356679i \(0.883909\pi\)
\(350\) 1.10998 2.55733i 0.0593309 0.136695i
\(351\) −0.476892 + 2.08940i −0.0254546 + 0.111524i
\(352\) 0.355238 + 4.74033i 0.0189343 + 0.252660i
\(353\) −5.96228 1.83912i −0.317340 0.0978865i 0.131993 0.991251i \(-0.457862\pi\)
−0.449333 + 0.893364i \(0.648338\pi\)
\(354\) −0.0311644 + 0.415860i −0.00165637 + 0.0221027i
\(355\) 2.00147 5.09966i 0.106227 0.270662i
\(356\) −8.72772 + 4.20305i −0.462568 + 0.222761i
\(357\) 0.139166 0.0878125i 0.00736544 0.00464753i
\(358\) −5.02067 2.41783i −0.265350 0.127786i
\(359\) 26.8836 24.9443i 1.41886 1.31651i 0.538160 0.842843i \(-0.319120\pi\)
0.880703 0.473669i \(-0.157071\pi\)
\(360\) 0.888898 0.133980i 0.0468490 0.00706135i
\(361\) −7.49538 + 12.9824i −0.394494 + 0.683283i
\(362\) −1.47356 2.55228i −0.0774487 0.134145i
\(363\) −1.69361 2.12371i −0.0888912 0.111466i
\(364\) −4.73234 + 2.07540i −0.248042 + 0.108780i
\(365\) −1.17688 + 1.47576i −0.0616005 + 0.0772446i
\(366\) −0.758149 0.114273i −0.0396291 0.00597312i
\(367\) 6.89620 4.70175i 0.359979 0.245429i −0.369802 0.929111i \(-0.620575\pi\)
0.729781 + 0.683681i \(0.239622\pi\)
\(368\) −18.9134 + 12.8950i −0.985931 + 0.672197i
\(369\) −7.29760 1.09994i −0.379898 0.0572604i
\(370\) −0.287058 + 0.359959i −0.0149234 + 0.0187134i
\(371\) 11.9363 + 0.423951i 0.619704 + 0.0220104i
\(372\) −3.87287 4.85643i −0.200799 0.251794i
\(373\) −8.30592 14.3863i −0.430064 0.744893i 0.566814 0.823846i \(-0.308176\pi\)
−0.996878 + 0.0789524i \(0.974842\pi\)
\(374\) −0.0348032 + 0.0602809i −0.00179963 + 0.00311705i
\(375\) 1.30555 0.196779i 0.0674181 0.0101616i
\(376\) 4.84131 4.49208i 0.249671 0.231661i
\(377\) −5.87929 2.83132i −0.302799 0.145820i
\(378\) 0.135165 1.22043i 0.00695215 0.0627721i
\(379\) −26.4748 + 12.7496i −1.35992 + 0.654902i −0.964618 0.263650i \(-0.915073\pi\)
−0.395299 + 0.918552i \(0.629359\pi\)
\(380\) −1.52397 + 3.88300i −0.0781778 + 0.199194i
\(381\) 0.210236 2.80541i 0.0107707 0.143725i
\(382\) −3.44061 1.06129i −0.176037 0.0543002i
\(383\) 1.60585 + 21.4285i 0.0820550 + 1.09495i 0.874507 + 0.485013i \(0.161185\pi\)
−0.792452 + 0.609934i \(0.791196\pi\)
\(384\) −0.530755 + 2.32539i −0.0270850 + 0.118667i
\(385\) 1.79858 + 0.336777i 0.0916641 + 0.0171637i
\(386\) 0.255970 + 1.12148i 0.0130285 + 0.0570816i
\(387\) −20.1745 + 6.22302i −1.02553 + 0.316334i
\(388\) −9.77252 24.9000i −0.496124 1.26410i
\(389\) 26.8582 + 24.9208i 1.36177 + 1.26353i 0.932885 + 0.360174i \(0.117283\pi\)
0.428881 + 0.903361i \(0.358908\pi\)
\(390\) 0.0239445 + 0.0163251i 0.00121247 + 0.000826651i
\(391\) −1.04742 −0.0529701
\(392\) 5.17814 3.01585i 0.261535 0.152324i
\(393\) −5.94904 −0.300089
\(394\) 2.75133 + 1.87582i 0.138610 + 0.0945026i
\(395\) −0.534323 0.495779i −0.0268847 0.0249454i
\(396\) −3.86168 9.83939i −0.194057 0.494448i
\(397\) −32.2423 + 9.94545i −1.61820 + 0.499148i −0.965922 0.258835i \(-0.916662\pi\)
−0.652275 + 0.757982i \(0.726185\pi\)
\(398\) 0.644611 + 2.82423i 0.0323114 + 0.141566i
\(399\) 4.54027 + 3.33759i 0.227298 + 0.167088i
\(400\) 4.02870 17.6509i 0.201435 0.882545i
\(401\) 1.01775 + 13.5809i 0.0508240 + 0.678199i 0.963190 + 0.268823i \(0.0866346\pi\)
−0.912366 + 0.409376i \(0.865746\pi\)
\(402\) 0.215878 + 0.0665896i 0.0107670 + 0.00332119i
\(403\) −0.650589 + 8.68151i −0.0324082 + 0.432457i
\(404\) 10.9339 27.8591i 0.543982 1.38604i
\(405\) −2.57991 + 1.24242i −0.128197 + 0.0617364i
\(406\) 3.53128 + 1.22813i 0.175254 + 0.0609512i
\(407\) 9.87213 + 4.75417i 0.489343 + 0.235655i
\(408\) −0.0390298 + 0.0362143i −0.00193226 + 0.00179288i
\(409\) 30.1215 4.54008i 1.48941 0.224493i 0.646653 0.762784i \(-0.276168\pi\)
0.842759 + 0.538291i \(0.180930\pi\)
\(410\) −0.102118 + 0.176873i −0.00504324 + 0.00873515i
\(411\) 3.66608 + 6.34984i 0.180834 + 0.313214i
\(412\) −18.5960 23.3187i −0.916161 1.14883i
\(413\) 9.07744 10.5887i 0.446671 0.521038i
\(414\) −2.38109 + 2.98579i −0.117024 + 0.146743i
\(415\) 1.22830 + 0.185136i 0.0602948 + 0.00908797i
\(416\) 2.08035 1.41836i 0.101998 0.0695408i
\(417\) 1.32756 0.905116i 0.0650110 0.0443237i
\(418\) −2.35699 0.355259i −0.115284 0.0173763i
\(419\) −12.5581 + 15.7474i −0.613505 + 0.769311i −0.987414 0.158154i \(-0.949446\pi\)
0.373909 + 0.927465i \(0.378017\pi\)
\(420\) 0.612006 + 0.321971i 0.0298628 + 0.0157106i
\(421\) −6.79914 8.52585i −0.331370 0.415524i 0.588036 0.808835i \(-0.299901\pi\)
−0.919406 + 0.393310i \(0.871330\pi\)
\(422\) 0.783484 + 1.35703i 0.0381394 + 0.0660594i
\(423\) −11.0575 + 19.1521i −0.537634 + 0.931209i
\(424\) −3.82136 + 0.575978i −0.185582 + 0.0279719i
\(425\) 0.607272 0.563466i 0.0294570 0.0273321i
\(426\) 1.06590 + 0.513313i 0.0516433 + 0.0248701i
\(427\) 18.1660 + 18.0972i 0.879116 + 0.875787i
\(428\) 15.7076 7.56440i 0.759258 0.365639i
\(429\) 0.251976 0.642023i 0.0121655 0.0309972i
\(430\) −0.0436625 + 0.582636i −0.00210559 + 0.0280972i
\(431\) −9.73635 3.00327i −0.468983 0.144662i 0.0512509 0.998686i \(-0.483679\pi\)
−0.520234 + 0.854024i \(0.674155\pi\)
\(432\) −0.595915 7.95194i −0.0286710 0.382588i
\(433\) −8.12337 + 35.5908i −0.390384 + 1.71039i 0.272921 + 0.962037i \(0.412010\pi\)
−0.663305 + 0.748349i \(0.730847\pi\)
\(434\) −0.195961 4.98410i −0.00940645 0.239245i
\(435\) 0.194323 + 0.851383i 0.00931706 + 0.0408207i
\(436\) −15.6114 + 4.81547i −0.747649 + 0.230619i
\(437\) −13.1040 33.3885i −0.626849 1.59719i
\(438\) −0.298809 0.277255i −0.0142777 0.0132477i
\(439\) 28.3339 + 19.3177i 1.35230 + 0.921985i 0.999904 0.0138640i \(-0.00441320\pi\)
0.352400 + 0.935849i \(0.385366\pi\)
\(440\) −0.592058 −0.0282252
\(441\) −13.5923 + 14.7610i −0.647253 + 0.702903i
\(442\) 0.0368685 0.00175366
\(443\) 16.9736 + 11.5724i 0.806442 + 0.549823i 0.894905 0.446257i \(-0.147243\pi\)
−0.0884633 + 0.996079i \(0.528196\pi\)
\(444\) 3.03553 + 2.81656i 0.144060 + 0.133668i
\(445\) −0.663796 1.69132i −0.0314669 0.0801765i
\(446\) −0.690952 + 0.213130i −0.0327175 + 0.0100920i
\(447\) −0.817148 3.58016i −0.0386498 0.169336i
\(448\) 13.8075 11.9280i 0.652343 0.563544i
\(449\) 5.25420 23.0202i 0.247961 1.08639i −0.685602 0.727976i \(-0.740461\pi\)
0.933563 0.358412i \(-0.116682\pi\)
\(450\) −0.225720 3.01203i −0.0106406 0.141988i
\(451\) 4.64468 + 1.43269i 0.218709 + 0.0674629i
\(452\) −1.80475 + 24.0827i −0.0848881 + 1.13275i
\(453\) −0.377915 + 0.962911i −0.0177560 + 0.0452415i
\(454\) −1.28564 + 0.619133i −0.0603382 + 0.0290574i
\(455\) −0.321846 0.914216i −0.0150884 0.0428591i
\(456\) −1.64270 0.791081i −0.0769263 0.0370458i
\(457\) 3.89780 3.61663i 0.182331 0.169179i −0.583727 0.811950i \(-0.698406\pi\)
0.766058 + 0.642772i \(0.222216\pi\)
\(458\) −0.217714 + 0.0328151i −0.0101731 + 0.00153335i
\(459\) 0.182437 0.315990i 0.00851544 0.0147492i
\(460\) −2.20085 3.81199i −0.102615 0.177735i
\(461\) −15.9620 20.0158i −0.743426 0.932227i 0.255980 0.966682i \(-0.417602\pi\)
−0.999406 + 0.0344550i \(0.989030\pi\)
\(462\) −0.101550 + 0.381887i −0.00472454 + 0.0177670i
\(463\) 18.0158 22.5911i 0.837264 1.04990i −0.160756 0.986994i \(-0.551393\pi\)
0.998020 0.0629011i \(-0.0200353\pi\)
\(464\) 24.0092 + 3.61880i 1.11460 + 0.167999i
\(465\) 0.962619 0.656302i 0.0446404 0.0304353i
\(466\) −3.19541 + 2.17859i −0.148024 + 0.100921i
\(467\) 12.0517 + 1.81650i 0.557684 + 0.0840574i 0.421836 0.906672i \(-0.361386\pi\)
0.135848 + 0.990730i \(0.456624\pi\)
\(468\) −3.49071 + 4.37721i −0.161358 + 0.202337i
\(469\) −4.49815 6.07064i −0.207705 0.280316i
\(470\) 0.381584 + 0.478491i 0.0176011 + 0.0220711i
\(471\) −0.803714 1.39207i −0.0370332 0.0641434i
\(472\) −2.25634 + 3.90810i −0.103857 + 0.179885i
\(473\) 13.7498 2.07245i 0.632216 0.0952912i
\(474\) 0.115388 0.107065i 0.00529996 0.00491765i
\(475\) 25.5591 + 12.3086i 1.17273 + 0.564757i
\(476\) 0.874049 0.100161i 0.0400620 0.00459088i
\(477\) 11.6591 5.61472i 0.533833 0.257080i
\(478\) −1.12739 + 2.87255i −0.0515658 + 0.131387i
\(479\) 0.499605 6.66677i 0.0228276 0.304613i −0.974090 0.226160i \(-0.927383\pi\)
0.996918 0.0784529i \(-0.0249980\pi\)
\(480\) −0.321983 0.0993185i −0.0146964 0.00453325i
\(481\) −0.433714 5.78751i −0.0197757 0.263888i
\(482\) 0.433569 1.89959i 0.0197485 0.0865240i
\(483\) −5.74068 + 1.54989i −0.261210 + 0.0705224i
\(484\) −3.23156 14.1584i −0.146889 0.643564i
\(485\) 4.79421 1.47882i 0.217694 0.0671496i
\(486\) −0.734582 1.87169i −0.0333213 0.0849014i
\(487\) −14.6313 13.5758i −0.663006 0.615180i 0.275146 0.961402i \(-0.411274\pi\)
−0.938152 + 0.346223i \(0.887464\pi\)
\(488\) −6.85504 4.67369i −0.310313 0.211568i
\(489\) −2.33461 −0.105575
\(490\) 0.242834 + 0.499394i 0.0109701 + 0.0225603i
\(491\) 33.6149 1.51702 0.758510 0.651661i \(-0.225927\pi\)
0.758510 + 0.651661i \(0.225927\pi\)
\(492\) 1.51774 + 1.03478i 0.0684249 + 0.0466513i
\(493\) 0.814411 + 0.755663i 0.0366792 + 0.0340334i
\(494\) 0.461255 + 1.17526i 0.0207528 + 0.0528774i
\(495\) 1.89446 0.584365i 0.0851498 0.0262652i
\(496\) −7.20812 31.5809i −0.323654 1.41802i
\(497\) −18.5546 34.9463i −0.832286 1.56756i
\(498\) −0.0596912 + 0.261524i −0.00267483 + 0.0117192i
\(499\) 2.36052 + 31.4990i 0.105672 + 1.41009i 0.758051 + 0.652196i \(0.226152\pi\)
−0.652379 + 0.757893i \(0.726229\pi\)
\(500\) 6.74516 + 2.08061i 0.301653 + 0.0930476i
\(501\) 0.528332 7.05010i 0.0236041 0.314975i
\(502\) −0.0723931 + 0.184455i −0.00323106 + 0.00823261i
\(503\) 12.4171 5.97976i 0.553651 0.266624i −0.136070 0.990699i \(-0.543447\pi\)
0.689721 + 0.724075i \(0.257733\pi\)
\(504\) 3.44375 5.50385i 0.153397 0.245161i
\(505\) 5.05745 + 2.43554i 0.225053 + 0.108380i
\(506\) 1.84380 1.71080i 0.0819671 0.0760544i
\(507\) −0.361234 + 0.0544473i −0.0160430 + 0.00241809i
\(508\) 7.52039 13.0257i 0.333664 0.577922i
\(509\) 22.0890 + 38.2592i 0.979076 + 1.69581i 0.665770 + 0.746157i \(0.268103\pi\)
0.313306 + 0.949652i \(0.398564\pi\)
\(510\) −0.00307626 0.00385751i −0.000136219 0.000170813i
\(511\) 2.55987 + 13.3901i 0.113242 + 0.592345i
\(512\) −9.81309 + 12.3052i −0.433681 + 0.543819i
\(513\) 12.3553 + 1.86225i 0.545498 + 0.0822206i
\(514\) −5.25903 + 3.58554i −0.231966 + 0.158152i
\(515\) 4.62213 3.15131i 0.203675 0.138863i
\(516\) 5.19631 + 0.783218i 0.228755 + 0.0344792i
\(517\) 9.08135 11.3876i 0.399397 0.500828i
\(518\) 0.624392 + 3.26606i 0.0274342 + 0.143502i
\(519\) −0.488130 0.612095i −0.0214265 0.0268680i
\(520\) 0.156798 + 0.271582i 0.00687605 + 0.0119097i
\(521\) −13.4169 + 23.2387i −0.587805 + 1.01811i 0.406715 + 0.913555i \(0.366674\pi\)
−0.994519 + 0.104552i \(0.966659\pi\)
\(522\) 4.00551 0.603734i 0.175316 0.0264247i
\(523\) −3.59242 + 3.33328i −0.157086 + 0.145754i −0.754800 0.655955i \(-0.772266\pi\)
0.597714 + 0.801709i \(0.296076\pi\)
\(524\) −28.6560 13.8000i −1.25184 0.602856i
\(525\) 2.49456 3.98684i 0.108872 0.174000i
\(526\) −3.18102 + 1.53190i −0.138699 + 0.0667939i
\(527\) 0.541507 1.37974i 0.0235884 0.0601023i
\(528\) −0.191776 + 2.55908i −0.00834600 + 0.111370i
\(529\) 14.1889 + 4.37671i 0.616911 + 0.190292i
\(530\) −0.0267623 0.357118i −0.00116248 0.0155122i
\(531\) 3.36251 14.7321i 0.145921 0.639320i
\(532\) 14.1279 + 26.6089i 0.612521 + 1.15364i
\(533\) −0.572888 2.50999i −0.0248145 0.108720i
\(534\) 0.374937 0.115653i 0.0162251 0.00500478i
\(535\) 1.19466 + 3.04395i 0.0516497 + 0.131601i
\(536\) 1.79205 + 1.66278i 0.0774050 + 0.0718213i
\(537\) −7.76715 5.29556i −0.335177 0.228520i
\(538\) 4.84527 0.208894
\(539\) 10.3011 8.27902i 0.443701 0.356603i
\(540\) 1.53336 0.0659855
\(541\) −23.3766 15.9379i −1.00504 0.685223i −0.0553644 0.998466i \(-0.517632\pi\)
−0.949673 + 0.313243i \(0.898584\pi\)
\(542\) 4.13605 + 3.83769i 0.177659 + 0.164843i
\(543\) −1.81636 4.62801i −0.0779474 0.198607i
\(544\) −0.409627 + 0.126353i −0.0175626 + 0.00541735i
\(545\) −0.681857 2.98741i −0.0292075 0.127967i
\(546\) 0.202069 0.0545553i 0.00864776 0.00233475i
\(547\) −8.25323 + 36.1598i −0.352883 + 1.54608i 0.417607 + 0.908628i \(0.362869\pi\)
−0.770490 + 0.637452i \(0.779988\pi\)
\(548\) 2.92945 + 39.0908i 0.125140 + 1.66988i
\(549\) 26.5477 + 8.18887i 1.13303 + 0.349493i
\(550\) −0.148664 + 1.98378i −0.00633904 + 0.0845887i
\(551\) −13.8993 + 35.4149i −0.592132 + 1.50873i
\(552\) 1.73341 0.834768i 0.0737789 0.0355301i
\(553\) −5.23015 + 0.599347i −0.222409 + 0.0254868i
\(554\) 0.922101 + 0.444060i 0.0391763 + 0.0188663i
\(555\) −0.569351 + 0.528280i −0.0241676 + 0.0224243i
\(556\) 8.49435 1.28032i 0.360241 0.0542975i
\(557\) −10.0473 + 17.4024i −0.425716 + 0.737362i −0.996487 0.0837474i \(-0.973311\pi\)
0.570771 + 0.821109i \(0.306644\pi\)
\(558\) −2.70210 4.68018i −0.114389 0.198128i
\(559\) −4.59209 5.75829i −0.194225 0.243550i
\(560\) 2.14698 + 2.89754i 0.0907266 + 0.122443i
\(561\) −0.0732122 + 0.0918052i −0.00309102 + 0.00387602i
\(562\) 0.169877 + 0.0256049i 0.00716583 + 0.00108008i
\(563\) −0.688100 + 0.469139i −0.0290000 + 0.0197718i −0.577733 0.816226i \(-0.696063\pi\)
0.548733 + 0.835997i \(0.315110\pi\)
\(564\) 4.54806 3.10081i 0.191508 0.130568i
\(565\) −4.47907 0.675111i −0.188436 0.0284021i
\(566\) 2.52947 3.17185i 0.106322 0.133323i
\(567\) −5.31475 + 19.9865i −0.223199 + 0.839355i
\(568\) 7.98196 + 10.0091i 0.334916 + 0.419971i
\(569\) 9.89889 + 17.1454i 0.414983 + 0.718772i 0.995427 0.0955286i \(-0.0304541\pi\)
−0.580444 + 0.814301i \(0.697121\pi\)
\(570\) 0.0844792 0.146322i 0.00353844 0.00612877i
\(571\) 17.1212 2.58061i 0.716500 0.107995i 0.219333 0.975650i \(-0.429612\pi\)
0.497167 + 0.867655i \(0.334374\pi\)
\(572\) 2.70305 2.50806i 0.113020 0.104867i
\(573\) −5.47251 2.63542i −0.228617 0.110096i
\(574\) 0.489822 + 1.39136i 0.0204448 + 0.0580742i
\(575\) −26.9705 + 12.9883i −1.12475 + 0.541650i
\(576\) 7.22239 18.4023i 0.300933 0.766764i
\(577\) −1.13302 + 15.1191i −0.0471682 + 0.629415i 0.922658 + 0.385619i \(0.126012\pi\)
−0.969826 + 0.243797i \(0.921607\pi\)
\(578\) 3.51183 + 1.08326i 0.146073 + 0.0450575i
\(579\) 0.145017 + 1.93511i 0.00602669 + 0.0804206i
\(580\) −1.03892 + 4.55181i −0.0431388 + 0.189004i
\(581\) 6.78895 5.86482i 0.281653 0.243314i
\(582\) 0.241092 + 1.05629i 0.00999357 + 0.0437847i
\(583\) −8.14428 + 2.51218i −0.337302 + 0.104044i
\(584\) −1.61150 4.10603i −0.0666842 0.169909i
\(585\) −0.769776 0.714247i −0.0318263 0.0295305i
\(586\) 3.36434 + 2.29377i 0.138979 + 0.0947546i
\(587\) 18.2228 0.752136 0.376068 0.926592i \(-0.377276\pi\)
0.376068 + 0.926592i \(0.377276\pi\)
\(588\) 4.64228 1.84232i 0.191444 0.0759759i
\(589\) 50.7565 2.09139
\(590\) −0.345520 0.235571i −0.0142248 0.00969831i
\(591\) 4.11790 + 3.82086i 0.169388 + 0.157169i
\(592\) 7.88944 + 20.1020i 0.324254 + 0.826186i
\(593\) −37.1580 + 11.4617i −1.52590 + 0.470677i −0.940421 0.340013i \(-0.889568\pi\)
−0.585476 + 0.810690i \(0.699092\pi\)
\(594\) 0.194973 + 0.854234i 0.00799985 + 0.0350496i
\(595\) 0.00648279 + 0.164884i 0.000265768 + 0.00675958i
\(596\) 4.36877 19.1408i 0.178952 0.784040i
\(597\) 0.365197 + 4.87322i 0.0149465 + 0.199447i
\(598\) −1.27307 0.392689i −0.0520595 0.0160582i
\(599\) −1.13805 + 15.1862i −0.0464994 + 0.620491i 0.924465 + 0.381267i \(0.124512\pi\)
−0.970964 + 0.239224i \(0.923107\pi\)
\(600\) −0.555930 + 1.41649i −0.0226957 + 0.0578278i
\(601\) 34.3666 16.5501i 1.40184 0.675091i 0.428307 0.903633i \(-0.359110\pi\)
0.973534 + 0.228542i \(0.0733958\pi\)
\(602\) 2.98950 + 2.97818i 0.121843 + 0.121382i
\(603\) −7.37539 3.55180i −0.300349 0.144640i
\(604\) −4.05405 + 3.76161i −0.164957 + 0.153058i
\(605\) 2.69345 0.405972i 0.109504 0.0165051i
\(606\) −0.606107 + 1.04981i −0.0246214 + 0.0426456i
\(607\) −11.2113 19.4186i −0.455054 0.788177i 0.543637 0.839320i \(-0.317047\pi\)
−0.998691 + 0.0511435i \(0.983713\pi\)
\(608\) −9.15253 11.4769i −0.371184 0.465450i
\(609\) 5.58180 + 2.93653i 0.226186 + 0.118994i
\(610\) 0.479365 0.601104i 0.0194089 0.0243380i
\(611\) −7.62869 1.14984i −0.308624 0.0465175i
\(612\) 0.787561 0.536950i 0.0318353 0.0217049i
\(613\) −4.05015 + 2.76135i −0.163584 + 0.111530i −0.642345 0.766416i \(-0.722038\pi\)
0.478761 + 0.877945i \(0.341086\pi\)
\(614\) 0.312794 + 0.0471462i 0.0126234 + 0.00190266i
\(615\) −0.214816 + 0.269370i −0.00866220 + 0.0108621i
\(616\) −2.78306 + 3.24641i −0.112133 + 0.130802i
\(617\) 2.43332 + 3.05128i 0.0979616 + 0.122840i 0.828396 0.560143i \(-0.189254\pi\)
−0.730434 + 0.682983i \(0.760682\pi\)
\(618\) 0.604038 + 1.04622i 0.0242980 + 0.0420853i
\(619\) −9.11826 + 15.7933i −0.366494 + 0.634786i −0.989015 0.147817i \(-0.952775\pi\)
0.622521 + 0.782603i \(0.286109\pi\)
\(620\) 6.15928 0.928362i 0.247363 0.0372839i
\(621\) −9.66516 + 8.96796i −0.387849 + 0.359872i
\(622\) −3.16210 1.52279i −0.126789 0.0610583i
\(623\) −12.3942 4.31056i −0.496565 0.172699i
\(624\) 1.22466 0.589766i 0.0490257 0.0236096i
\(625\) 8.40469 21.4148i 0.336188 0.856592i
\(626\) −0.0354103 + 0.472518i −0.00141528 + 0.0188856i
\(627\) −3.84241 1.18523i −0.153451 0.0473334i
\(628\) −0.642224 8.56988i −0.0256275 0.341975i
\(629\) −0.219873 + 0.963328i −0.00876693 + 0.0384104i
\(630\) 0.484759 + 0.356350i 0.0193133 + 0.0141973i
\(631\) 8.53317 + 37.3863i 0.339700 + 1.48832i 0.799697 + 0.600404i \(0.204993\pi\)
−0.459997 + 0.887921i \(0.652149\pi\)
\(632\) 1.62766 0.502065i 0.0647447 0.0199711i
\(633\) 0.965747 + 2.46068i 0.0383850 + 0.0978033i
\(634\) 0.678370 + 0.629436i 0.0269415 + 0.0249981i
\(635\) 2.33089 + 1.58917i 0.0924984 + 0.0630644i
\(636\) −3.22098 −0.127720
\(637\) −6.52577 2.53264i −0.258561 0.100347i
\(638\) −2.66790 −0.105623
\(639\) −35.4197 24.1487i −1.40118 0.955308i
\(640\) −1.75332 1.62685i −0.0693062 0.0643067i
\(641\) −3.32674 8.47639i −0.131398 0.334797i 0.849999 0.526784i \(-0.176602\pi\)
−0.981398 + 0.191986i \(0.938507\pi\)
\(642\) −0.674789 + 0.208145i −0.0266318 + 0.00821482i
\(643\) 10.8710 + 47.6292i 0.428712 + 1.87831i 0.476027 + 0.879430i \(0.342076\pi\)
−0.0473153 + 0.998880i \(0.515067\pi\)
\(644\) −31.2476 5.85099i −1.23133 0.230561i
\(645\) −0.219325 + 0.960927i −0.00863593 + 0.0378365i
\(646\) −0.0160632 0.214348i −0.000631998 0.00843343i
\(647\) 19.2181 + 5.92800i 0.755542 + 0.233054i 0.648515 0.761202i \(-0.275391\pi\)
0.107028 + 0.994256i \(0.465867\pi\)
\(648\) 0.500058 6.67281i 0.0196441 0.262133i
\(649\) −3.63602 + 9.26442i −0.142726 + 0.363660i
\(650\) 0.949350 0.457183i 0.0372366 0.0179322i
\(651\) 0.926258 8.36334i 0.0363029 0.327785i
\(652\) −11.2456 5.41559i −0.440411 0.212091i
\(653\) −11.5275 + 10.6960i −0.451108 + 0.418567i −0.872729 0.488205i \(-0.837652\pi\)
0.421621 + 0.906772i \(0.361461\pi\)
\(654\) 0.654338 0.0986257i 0.0255867 0.00385657i
\(655\) 2.98278 5.16632i 0.116547 0.201865i
\(656\) 4.78971 + 8.29601i 0.187007 + 0.323905i
\(657\) 9.20914 + 11.5479i 0.359283 + 0.450526i
\(658\) 4.41738 + 0.156895i 0.172207 + 0.00611641i
\(659\) 12.2251 15.3298i 0.476222 0.597163i −0.484461 0.874813i \(-0.660984\pi\)
0.960682 + 0.277650i \(0.0895556\pi\)
\(660\) −0.487953 0.0735471i −0.0189936 0.00286282i
\(661\) 0.182892 0.124694i 0.00711369 0.00485003i −0.559758 0.828656i \(-0.689106\pi\)
0.566872 + 0.823806i \(0.308154\pi\)
\(662\) −2.30565 + 1.57196i −0.0896115 + 0.0610961i
\(663\) 0.0615011 + 0.00926980i 0.00238850 + 0.000360009i
\(664\) −1.80984 + 2.26947i −0.0702355 + 0.0880725i
\(665\) −5.17490 + 2.26948i −0.200674 + 0.0880067i
\(666\) 2.24625 + 2.81671i 0.0870404 + 0.109145i
\(667\) −20.0729 34.7673i −0.777226 1.34619i
\(668\) 18.8991 32.7341i 0.731227 1.26652i
\(669\) −1.20618 + 0.181802i −0.0466335 + 0.00702886i
\(670\) −0.166067 + 0.154088i −0.00641573 + 0.00595293i
\(671\) −16.4857 7.93908i −0.636423 0.306485i
\(672\) −2.05812 + 1.29865i −0.0793936 + 0.0500966i
\(673\) −27.5070 + 13.2467i −1.06032 + 0.510622i −0.880974 0.473165i \(-0.843112\pi\)
−0.179343 + 0.983787i \(0.557397\pi\)
\(674\) −0.768227 + 1.95741i −0.0295910 + 0.0753966i
\(675\) 0.779290 10.3989i 0.0299949 0.400254i
\(676\) −1.86633 0.575688i −0.0717821 0.0221418i
\(677\) 1.51362 + 20.1979i 0.0581733 + 0.776268i 0.947655 + 0.319297i \(0.103447\pi\)
−0.889481 + 0.456971i \(0.848934\pi\)
\(678\) 0.217668 0.953666i 0.00835949 0.0366253i
\(679\) 14.4272 33.2393i 0.553664 1.27561i
\(680\) −0.0118805 0.0520520i −0.000455598 0.00199610i
\(681\) −2.30027 + 0.709540i −0.0881466 + 0.0271896i
\(682\) 1.30036 + 3.31327i 0.0497935 + 0.126872i
\(683\) 25.2412 + 23.4204i 0.965828 + 0.896157i 0.994637 0.103428i \(-0.0329811\pi\)
−0.0288093 + 0.999585i \(0.509172\pi\)
\(684\) 26.9693 + 18.3874i 1.03120 + 0.703059i
\(685\) −7.35251 −0.280925
\(686\) 3.87978 + 1.01595i 0.148131 + 0.0387893i
\(687\) −0.371423 −0.0141707
\(688\) 22.6426 + 15.4375i 0.863241 + 0.588548i
\(689\) 3.30926 + 3.07054i 0.126073 + 0.116978i
\(690\) 0.0651363 + 0.165965i 0.00247970 + 0.00631816i
\(691\) 23.6608 7.29840i 0.900101 0.277644i 0.190033 0.981778i \(-0.439141\pi\)
0.710068 + 0.704133i \(0.248664\pi\)
\(692\) −0.931399 4.08073i −0.0354065 0.155126i
\(693\) 5.70099 13.1347i 0.216563 0.498948i
\(694\) −0.0645102 + 0.282638i −0.00244878 + 0.0107288i
\(695\) 0.120406 + 1.60671i 0.00456726 + 0.0609459i
\(696\) −1.95005 0.601511i −0.0739165 0.0228002i
\(697\) −0.0327558 + 0.437096i −0.00124072 + 0.0165562i
\(698\) 0.413400 1.05333i 0.0156474 0.0398690i
\(699\) −5.87808 + 2.83073i −0.222329 + 0.107068i
\(700\) 21.2644 13.4176i 0.803717 0.507138i
\(701\) 36.5224 + 17.5882i 1.37943 + 0.664299i 0.968878 0.247538i \(-0.0796215\pi\)
0.410553 + 0.911837i \(0.365336\pi\)
\(702\) 0.340209 0.315668i 0.0128404 0.0119141i
\(703\) −33.4588 + 5.04310i −1.26192 + 0.190204i
\(704\) −6.51008 + 11.2758i −0.245358 + 0.424972i
\(705\) 0.516220 + 0.894120i 0.0194420 + 0.0336745i
\(706\) 0.842442 + 1.05639i 0.0317057 + 0.0397577i
\(707\) 37.1280 16.2827i 1.39634 0.612373i
\(708\) −2.34507 + 2.94063i −0.0881332 + 0.110516i
\(709\) 33.6720 + 5.07524i 1.26458 + 0.190605i 0.746880 0.664959i \(-0.231551\pi\)
0.517698 + 0.855563i \(0.326789\pi\)
\(710\) −0.980208 + 0.668294i −0.0367865 + 0.0250806i
\(711\) −4.71263 + 3.21301i −0.176737 + 0.120497i
\(712\) 4.19844 + 0.632813i 0.157343 + 0.0237157i
\(713\) −33.3938 + 41.8745i −1.25061 + 1.56821i
\(714\) −0.0356121 0.00126486i −0.00133275 4.73362e-5i
\(715\) 0.431214 + 0.540726i 0.0161265 + 0.0202220i
\(716\) −25.1296 43.5257i −0.939137 1.62663i
\(717\) −2.60287 + 4.50830i −0.0972058 + 0.168365i
\(718\) −7.85302 + 1.18365i −0.293072 + 0.0441735i
\(719\) −18.0859 + 16.7813i −0.674491 + 0.625836i −0.941164 0.337951i \(-0.890266\pi\)
0.266672 + 0.963787i \(0.414076\pi\)
\(720\) 3.52030 + 1.69529i 0.131194 + 0.0631795i
\(721\) 4.44754 40.1576i 0.165635 1.49555i
\(722\) 2.92479 1.40851i 0.108850 0.0524192i
\(723\) 1.20086 3.05973i 0.0446603 0.113793i
\(724\) 1.98636 26.5061i 0.0738224 0.985092i
\(725\) 30.3413 + 9.35904i 1.12685 + 0.347586i
\(726\) 0.0439582 + 0.586582i 0.00163144 + 0.0217701i
\(727\) 8.19884 35.9215i 0.304078 1.33225i −0.559831 0.828607i \(-0.689134\pi\)
0.863909 0.503647i \(-0.168009\pi\)
\(728\) 2.22621 + 0.416849i 0.0825089 + 0.0154494i
\(729\) 4.46338 + 19.5553i 0.165310 + 0.724271i
\(730\) 0.390595 0.120483i 0.0144566 0.00445927i
\(731\) 0.458114 + 1.16725i 0.0169439 + 0.0431725i
\(732\) −5.06910 4.70344i −0.187359 0.173844i
\(733\) −19.3222 13.1736i −0.713681 0.486580i 0.151234 0.988498i \(-0.451675\pi\)
−0.864915 + 0.501918i \(0.832628\pi\)
\(734\) −1.80745 −0.0667142
\(735\) 0.279514 + 0.894103i 0.0103100 + 0.0329795i
\(736\) 15.4902 0.570975
\(737\) 4.45466 + 3.03714i 0.164090 + 0.111874i
\(738\) 1.17153 + 1.08702i 0.0431247 + 0.0400139i
\(739\) −6.97509 17.7723i −0.256583 0.653763i 0.743302 0.668956i \(-0.233259\pi\)
−0.999885 + 0.0151937i \(0.995164\pi\)
\(740\) −3.96797 + 1.22396i −0.145865 + 0.0449935i
\(741\) 0.473934 + 2.07644i 0.0174104 + 0.0762800i
\(742\) −2.08397 1.53194i −0.0765051 0.0562395i
\(743\) 2.71847 11.9104i 0.0997311 0.436951i −0.900268 0.435337i \(-0.856629\pi\)
0.999999 0.00161366i \(-0.000513646\pi\)
\(744\) 0.203458 + 2.71495i 0.00745912 + 0.0995350i
\(745\) 3.51882 + 1.08541i 0.128920 + 0.0397665i
\(746\) −0.268829 + 3.58727i −0.00984251 + 0.131339i
\(747\) 3.55114 9.04817i 0.129930 0.331055i
\(748\) −0.565617 + 0.272387i −0.0206810 + 0.00995945i
\(749\) 22.3064 + 7.75789i 0.815060 + 0.283467i
\(750\) −0.257597 0.124052i −0.00940613 0.00452975i
\(751\) −0.0978854 + 0.0908243i −0.00357189 + 0.00331423i −0.681957 0.731393i \(-0.738871\pi\)
0.678385 + 0.734707i \(0.262680\pi\)
\(752\) 28.3850 4.27836i 1.03510 0.156016i
\(753\) −0.167137 + 0.289490i −0.00609082 + 0.0105496i
\(754\) 0.706557 + 1.22379i 0.0257313 + 0.0445679i
\(755\) −0.646739 0.810985i −0.0235372 0.0295148i
\(756\) 7.20782 8.40784i 0.262146 0.305790i
\(757\) −14.1765 + 17.7767i −0.515252 + 0.646106i −0.969593 0.244722i \(-0.921303\pi\)
0.454341 + 0.890828i \(0.349875\pi\)
\(758\) 6.29226 + 0.948405i 0.228545 + 0.0344476i
\(759\) 3.50583 2.39023i 0.127253 0.0867600i
\(760\) 1.51063 1.02993i 0.0547962 0.0373594i
\(761\) −5.88561 0.887112i −0.213353 0.0321578i 0.0414959 0.999139i \(-0.486788\pi\)
−0.254849 + 0.966981i \(0.582026\pi\)
\(762\) −0.379842 + 0.476307i −0.0137602 + 0.0172548i
\(763\) −19.5859 10.3040i −0.709058 0.373029i
\(764\) −20.2472 25.3892i −0.732518 0.918548i
\(765\) 0.0893909 + 0.154830i 0.00323194 + 0.00559788i
\(766\) 2.32670 4.02996i 0.0840671 0.145609i
\(767\) 5.21262 0.785677i 0.188217 0.0283691i
\(768\) −3.31501 + 3.07588i −0.119620 + 0.110991i
\(769\) −34.8720 16.7935i −1.25752 0.605588i −0.318000 0.948091i \(-0.603011\pi\)
−0.939517 + 0.342502i \(0.888726\pi\)
\(770\) −0.280726 0.279663i −0.0101167 0.0100783i
\(771\) −9.67419 + 4.65884i −0.348407 + 0.167784i
\(772\) −3.79035 + 9.65766i −0.136418 + 0.347587i
\(773\) 0.847560 11.3099i 0.0304846 0.406789i −0.960999 0.276554i \(-0.910808\pi\)
0.991483 0.130235i \(-0.0415733\pi\)
\(774\) 4.36883 + 1.34761i 0.157034 + 0.0484387i
\(775\) −3.16564 42.2425i −0.113713 1.51740i
\(776\) −2.60888 + 11.4302i −0.0936532 + 0.410322i
\(777\) 0.220380 + 5.60516i 0.00790608 + 0.201084i
\(778\) −1.76553 7.73530i −0.0632974 0.277324i
\(779\) −14.3431 + 4.42426i −0.513895 + 0.158516i
\(780\) 0.0954908 + 0.243307i 0.00341912 + 0.00871177i
\(781\) 20.6970 + 19.2040i 0.740598 + 0.687174i
\(782\) 0.187407 + 0.127772i 0.00670167 + 0.00456912i
\(783\) 13.9851 0.499785
\(784\) 25.9802 + 1.84784i 0.927864 + 0.0659944i
\(785\) 1.61189 0.0575309
\(786\) 1.06442 + 0.725712i 0.0379667 + 0.0258853i
\(787\) −17.4768 16.2161i −0.622982 0.578043i 0.304221 0.952601i \(-0.401604\pi\)
−0.927203 + 0.374559i \(0.877794\pi\)
\(788\) 10.9723 + 27.9570i 0.390873 + 0.995928i
\(789\) −5.69147 + 1.75559i −0.202622 + 0.0625006i
\(790\) 0.0351238 + 0.153888i 0.00124965 + 0.00547507i
\(791\) −24.7563 + 21.3864i −0.880234 + 0.760414i
\(792\) −1.03092 + 4.51674i −0.0366320 + 0.160495i
\(793\) 0.724268 + 9.66469i 0.0257195 + 0.343203i
\(794\) 6.98214 + 2.15371i 0.247787 + 0.0764321i
\(795\) 0.0451470 0.602445i 0.00160120 0.0213665i
\(796\) −9.54529 + 24.3210i −0.338324 + 0.862035i
\(797\) −11.1745 + 5.38136i −0.395822 + 0.190618i −0.621197 0.783654i \(-0.713353\pi\)
0.225376 + 0.974272i \(0.427639\pi\)
\(798\) −0.405216 1.15103i −0.0143445 0.0407461i
\(799\) 1.18340 + 0.569895i 0.0418657 + 0.0201614i
\(800\) −8.98091 + 8.33307i −0.317523 + 0.294618i
\(801\) −14.0587 + 2.11901i −0.496741 + 0.0748717i
\(802\) 1.47461 2.55410i 0.0520703 0.0901884i
\(803\) −4.86400 8.42470i −0.171647 0.297301i
\(804\) 1.27039 + 1.59302i 0.0448033 + 0.0561816i
\(805\) 1.53234 5.76247i 0.0540078 0.203100i
\(806\) 1.17545 1.47396i 0.0414033 0.0519181i
\(807\) 8.08248 + 1.21824i 0.284517 + 0.0428840i
\(808\) −10.8382 + 7.38935i −0.381286 + 0.259956i
\(809\) 19.7923 13.4942i 0.695860 0.474429i −0.163009 0.986625i \(-0.552120\pi\)
0.858869 + 0.512195i \(0.171168\pi\)
\(810\) 0.613167 + 0.0924201i 0.0215445 + 0.00324731i
\(811\) 5.01676 6.29082i 0.176162 0.220900i −0.685909 0.727687i \(-0.740595\pi\)
0.862072 + 0.506787i \(0.169167\pi\)
\(812\) 20.0752 + 27.0931i 0.704500 + 0.950783i
\(813\) 5.93452 + 7.44165i 0.208133 + 0.260990i
\(814\) −1.18640 2.05491i −0.0415835 0.0720247i
\(815\) 1.17054 2.02744i 0.0410024 0.0710182i
\(816\) −0.228835 + 0.0344913i −0.00801083 + 0.00120744i
\(817\) −31.4772 + 29.2066i −1.10125 + 1.02181i
\(818\) −5.94328 2.86213i −0.207802 0.100072i
\(819\) −7.53485 + 0.863453i −0.263289 + 0.0301715i
\(820\) −1.65961 + 0.799224i −0.0579560 + 0.0279101i
\(821\) −5.60961 + 14.2931i −0.195777 + 0.498831i −0.994726 0.102567i \(-0.967294\pi\)
0.798949 + 0.601398i \(0.205390\pi\)
\(822\) 0.118656 1.58335i 0.00413860 0.0552258i
\(823\) 4.39307 + 1.35508i 0.153133 + 0.0472353i 0.370374 0.928883i \(-0.379230\pi\)
−0.217241 + 0.976118i \(0.569706\pi\)
\(824\) 0.976926 + 13.0362i 0.0340328 + 0.454136i
\(825\) −0.746767 + 3.27180i −0.0259991 + 0.113910i
\(826\) −2.91587 + 0.787236i −0.101456 + 0.0273914i
\(827\) 9.30435 + 40.7650i 0.323544 + 1.41754i 0.831198 + 0.555977i \(0.187656\pi\)
−0.507654 + 0.861561i \(0.669487\pi\)
\(828\) −32.9134 + 10.1525i −1.14382 + 0.352822i
\(829\) −10.6726 27.1934i −0.370676 0.944467i −0.987536 0.157394i \(-0.949691\pi\)
0.616860 0.787073i \(-0.288404\pi\)
\(830\) −0.197187 0.182963i −0.00684446 0.00635073i
\(831\) 1.42652 + 0.972587i 0.0494855 + 0.0337387i
\(832\) 6.89641 0.239090
\(833\) 0.934575 + 0.739515i 0.0323811 + 0.0256227i
\(834\) −0.347945 −0.0120484
\(835\) 5.85761 + 3.99365i 0.202711 + 0.138206i
\(836\) −15.7592 14.6224i −0.545043 0.505726i
\(837\) −6.81646 17.3681i −0.235611 0.600328i
\(838\) 4.16794 1.28564i 0.143979 0.0444117i
\(839\) −4.82035 21.1193i −0.166417 0.729121i −0.987410 0.158182i \(-0.949437\pi\)
0.820993 0.570938i \(-0.193420\pi\)
\(840\) −0.142138 0.267707i −0.00490421 0.00923676i
\(841\) −3.02237 + 13.2419i −0.104220 + 0.456616i
\(842\) 0.176474 + 2.35489i 0.00608171 + 0.0811548i
\(843\) 0.276937 + 0.0854239i 0.00953823 + 0.00294215i
\(844\) −1.05613 + 14.0931i −0.0363536 + 0.485106i
\(845\) 0.133835 0.341006i 0.00460406 0.0117309i
\(846\) 4.31478 2.07789i 0.148345 0.0714392i
\(847\) 10.4349 16.6772i 0.358548 0.573036i
\(848\) −15.1337 7.28801i −0.519694 0.250271i
\(849\) 5.01695 4.65505i 0.172181 0.159761i
\(850\) −0.177391 + 0.0267375i −0.00608447 + 0.000917087i
\(851\) 17.8527 30.9217i 0.611981 1.05998i
\(852\) 5.33510 + 9.24066i 0.182777 + 0.316580i
\(853\) −20.8611 26.1590i −0.714270 0.895667i 0.283728 0.958905i \(-0.408429\pi\)
−0.997998 + 0.0632381i \(0.979857\pi\)
\(854\) −1.04269 5.45406i −0.0356800 0.186634i
\(855\) −3.81715 + 4.78655i −0.130544 + 0.163697i
\(856\) −7.55610 1.13890i −0.258262 0.0389268i
\(857\) −40.5116 + 27.6203i −1.38385 + 0.943492i −0.384053 + 0.923311i \(0.625472\pi\)
−0.999796 + 0.0201814i \(0.993576\pi\)
\(858\) −0.123403 + 0.0841351i −0.00421293 + 0.00287232i
\(859\) 44.6432 + 6.72887i 1.52320 + 0.229586i 0.856661 0.515880i \(-0.172535\pi\)
0.666544 + 0.745466i \(0.267773\pi\)
\(860\) −3.28554 + 4.11993i −0.112036 + 0.140489i
\(861\) 0.467254 + 2.44411i 0.0159240 + 0.0832949i
\(862\) 1.37570 + 1.72507i 0.0468565 + 0.0587562i
\(863\) −9.83129 17.0283i −0.334661 0.579650i 0.648759 0.760994i \(-0.275288\pi\)
−0.983420 + 0.181344i \(0.941955\pi\)
\(864\) −2.69805 + 4.67316i −0.0917896 + 0.158984i
\(865\) 0.776304 0.117009i 0.0263951 0.00397843i
\(866\) 5.79512 5.37708i 0.196926 0.182721i
\(867\) 5.58579 + 2.68997i 0.189703 + 0.0913563i
\(868\) 23.8622 38.1368i 0.809935 1.29445i
\(869\) 3.38455 1.62992i 0.114813 0.0552911i
\(870\) 0.0690896 0.176038i 0.00234236 0.00596823i
\(871\) 0.213409 2.84774i 0.00723107 0.0964919i
\(872\) 6.84252 + 2.11064i 0.231717 + 0.0714752i
\(873\) −2.93384 39.1494i −0.0992955 1.32501i
\(874\) −1.72838 + 7.57251i −0.0584632 + 0.256144i
\(875\) 4.48409 + 8.44549i 0.151590 + 0.285510i
\(876\) −0.818077 3.58423i −0.0276402 0.121100i
\(877\) −47.6885 + 14.7099i −1.61032 + 0.496719i −0.963901 0.266259i \(-0.914212\pi\)
−0.646423 + 0.762979i \(0.723736\pi\)
\(878\) −2.71307 6.91280i −0.0915618 0.233296i
\(879\) 5.03539 + 4.67216i 0.169840 + 0.157588i
\(880\) −2.12623 1.44964i −0.0716750 0.0488672i
\(881\) −6.87532 −0.231635 −0.115818 0.993270i \(-0.536949\pi\)
−0.115818 + 0.993270i \(0.536949\pi\)
\(882\) 4.23265 0.982985i 0.142521 0.0330988i
\(883\) −24.7284 −0.832177 −0.416089 0.909324i \(-0.636599\pi\)
−0.416089 + 0.909324i \(0.636599\pi\)
\(884\) 0.274742 + 0.187316i 0.00924058 + 0.00630012i
\(885\) −0.517138 0.479834i −0.0173834 0.0161294i
\(886\) −1.62529 4.14116i −0.0546025 0.139125i
\(887\) −52.2877 + 16.1286i −1.75565 + 0.541546i −0.994283 0.106775i \(-0.965947\pi\)
−0.761367 + 0.648322i \(0.775471\pi\)
\(888\) −0.403874 1.76949i −0.0135531 0.0593801i
\(889\) 19.6705 5.31072i 0.659728 0.178116i
\(890\) −0.0875526 + 0.383593i −0.00293477 + 0.0128581i
\(891\) −1.10284 14.7164i −0.0369466 0.493018i
\(892\) −6.23177 1.92225i −0.208655 0.0643616i
\(893\) −3.36127 + 44.8531i −0.112481 + 1.50095i
\(894\) −0.290529 + 0.740257i −0.00971676 + 0.0247579i
\(895\) 8.49317 4.09010i 0.283896 0.136717i
\(896\) −17.1622 + 1.96669i −0.573348 + 0.0657026i
\(897\) −2.02489 0.975136i −0.0676091 0.0325588i
\(898\) −3.74828 + 3.47790i −0.125082 + 0.116059i
\(899\) 56.1757 8.46713i 1.87356 0.282394i
\(900\) 13.6210 23.5923i 0.454033 0.786409i
\(901\) −0.384291 0.665611i −0.0128026 0.0221747i
\(902\) −0.656271 0.822938i −0.0218514 0.0274008i
\(903\) 4.23804 + 5.71960i 0.141033 + 0.190337i
\(904\) 6.59971 8.27577i 0.219503 0.275248i
\(905\) 4.92980 + 0.743047i 0.163872 + 0.0246997i
\(906\) 0.185082 0.126186i 0.00614892 0.00419226i
\(907\) −8.73054 + 5.95238i −0.289893 + 0.197646i −0.699531 0.714603i \(-0.746607\pi\)
0.409638 + 0.912248i \(0.365655\pi\)
\(908\) −12.7261 1.91816i −0.422331 0.0636562i
\(909\) 27.3867 34.3418i 0.908358 1.13904i
\(910\) −0.0539376 + 0.202836i −0.00178801 + 0.00672395i
\(911\) −12.1158 15.1927i −0.401413 0.503356i 0.539509 0.841980i \(-0.318610\pi\)
−0.940922 + 0.338624i \(0.890039\pi\)
\(912\) −3.96239 6.86306i −0.131208 0.227259i
\(913\) −3.20091 + 5.54415i −0.105935 + 0.183484i
\(914\) −1.13859 + 0.171615i −0.0376613 + 0.00567653i
\(915\) 0.950771 0.882187i 0.0314315 0.0291642i
\(916\) −1.78911 0.861591i −0.0591139 0.0284678i
\(917\) −14.3073 40.6404i −0.472469 1.34207i
\(918\) −0.0711893 + 0.0342830i −0.00234960 + 0.00113151i
\(919\) −10.0882 + 25.7042i −0.332778 + 0.847904i 0.662339 + 0.749204i \(0.269564\pi\)
−0.995117 + 0.0987004i \(0.968531\pi\)
\(920\) −0.144176 + 1.92389i −0.00475333 + 0.0634287i
\(921\) 0.509924 + 0.157291i 0.0168026 + 0.00518291i
\(922\) 0.414301 + 5.52847i 0.0136443 + 0.182070i
\(923\) 3.32775 14.5798i 0.109534 0.479901i
\(924\) −2.69698 + 2.32986i −0.0887240 + 0.0766466i
\(925\) 6.28396 + 27.5318i 0.206615 + 0.905241i
\(926\) −5.97928 + 1.84436i −0.196491 + 0.0606096i
\(927\) −15.9927 40.7488i −0.525271 1.33837i
\(928\) −12.0443 11.1755i −0.395373 0.366853i
\(929\) −19.2901 13.1517i −0.632886 0.431494i 0.203925 0.978987i \(-0.434630\pi\)
−0.836811 + 0.547492i \(0.815583\pi\)
\(930\) −0.252296 −0.00827312
\(931\) −11.8812 + 39.0434i −0.389392 + 1.27959i
\(932\) −34.8806 −1.14255
\(933\) −4.89189 3.33523i −0.160153 0.109191i
\(934\) −1.93473 1.79517i −0.0633065 0.0587398i
\(935\) −0.0430186 0.109610i −0.00140686 0.00358462i
\(936\) 2.34489 0.723304i 0.0766452 0.0236419i
\(937\) −9.62536 42.1714i −0.314447 1.37768i −0.847139 0.531372i \(-0.821677\pi\)
0.532692 0.846309i \(-0.321180\pi\)
\(938\) 0.0642799 + 1.63490i 0.00209881 + 0.0533814i
\(939\) −0.177873 + 0.779313i −0.00580467 + 0.0254319i
\(940\) 0.412496 + 5.50437i 0.0134541 + 0.179533i
\(941\) 27.8130 + 8.57917i 0.906678 + 0.279673i 0.712812 0.701355i \(-0.247421\pi\)
0.193866 + 0.981028i \(0.437897\pi\)
\(942\) −0.0260129 + 0.347118i −0.000847547 + 0.0113097i
\(943\) 5.78659 14.7440i 0.188437 0.480130i
\(944\) −17.6719 + 8.51036i −0.575173 + 0.276989i
\(945\) 1.47155 + 1.46598i 0.0478697 + 0.0476884i
\(946\) −2.71297 1.30650i −0.0882064 0.0424779i
\(947\) 27.6715 25.6754i 0.899202 0.834337i −0.0876190 0.996154i \(-0.527926\pi\)
0.986821 + 0.161817i \(0.0517353\pi\)
\(948\) 1.40382 0.211593i 0.0455941 0.00687221i
\(949\) −2.57633 + 4.46233i −0.0836311 + 0.144853i
\(950\) −3.07162 5.32020i −0.0996564 0.172610i
\(951\) 0.973344 + 1.22053i 0.0315628 + 0.0395786i
\(952\) −0.341261 0.179534i −0.0110603 0.00581874i
\(953\) 5.85087 7.33676i 0.189528 0.237661i −0.677984 0.735077i \(-0.737146\pi\)
0.867512 + 0.497416i \(0.165718\pi\)
\(954\) −2.77101 0.417663i −0.0897149 0.0135223i
\(955\) 5.03253 3.43112i 0.162849 0.111028i
\(956\) −22.9957 + 15.6782i −0.743733 + 0.507069i
\(957\) −4.45038 0.670787i −0.143860 0.0216835i
\(958\) −0.902657 + 1.13190i −0.0291635 + 0.0365699i
\(959\) −34.5616 + 40.3158i −1.11605 + 1.30186i
\(960\) −0.575427 0.721563i −0.0185718 0.0232883i
\(961\) −22.3960 38.7909i −0.722450 1.25132i
\(962\) −0.628405 + 1.08843i −0.0202606 + 0.0350924i
\(963\) 25.3021 3.81368i 0.815349 0.122894i
\(964\) 12.8821 11.9528i 0.414904 0.384975i
\(965\) −1.75322 0.844306i −0.0564381 0.0271792i
\(966\) 1.21621 + 0.422982i 0.0391309 + 0.0136092i
\(967\) 13.3527 6.43034i 0.429395 0.206786i −0.206687 0.978407i \(-0.566268\pi\)
0.636082 + 0.771621i \(0.280554\pi\)
\(968\) −2.32549 + 5.92526i −0.0747442 + 0.190445i
\(969\) 0.0270980 0.361597i 0.000870512 0.0116162i
\(970\) −1.03819 0.320241i −0.0333344 0.0102823i
\(971\) 3.56627 + 47.5886i 0.114447 + 1.52719i 0.698580 + 0.715532i \(0.253816\pi\)
−0.584133 + 0.811658i \(0.698565\pi\)
\(972\) 4.03531 17.6798i 0.129433 0.567081i
\(973\) 9.37599 + 6.89236i 0.300580 + 0.220959i
\(974\) 0.961790 + 4.21388i 0.0308177 + 0.135021i
\(975\) 1.69858 0.523941i 0.0543980 0.0167796i
\(976\) −13.1747 33.5687i −0.421713 1.07451i
\(977\) 20.3940 + 18.9228i 0.652460 + 0.605395i 0.935335 0.353762i \(-0.115098\pi\)
−0.282875 + 0.959157i \(0.591288\pi\)
\(978\) 0.417716 + 0.284794i 0.0133571 + 0.00910671i
\(979\) 9.36394 0.299273
\(980\) −0.727659 + 4.95520i −0.0232442 + 0.158288i
\(981\) −23.9779 −0.765554
\(982\) −6.01450 4.10062i −0.191931 0.130856i
\(983\) −22.9242 21.2706i −0.731169 0.678426i 0.223966 0.974597i \(-0.428100\pi\)
−0.955135 + 0.296171i \(0.904290\pi\)
\(984\) −0.294147 0.749475i −0.00937707 0.0238924i
\(985\) −5.38281 + 1.66038i −0.171511 + 0.0529040i
\(986\) −0.0535355 0.234554i −0.00170492 0.00746973i
\(987\) 7.32927 + 1.37237i 0.233293 + 0.0436832i
\(988\) −2.53383 + 11.1014i −0.0806118 + 0.353183i
\(989\) −3.38611 45.1845i −0.107672 1.43678i
\(990\) −0.410250 0.126545i −0.0130386 0.00402187i
\(991\) 2.14822 28.6660i 0.0682403 0.910604i −0.853075 0.521788i \(-0.825265\pi\)
0.921315 0.388816i \(-0.127116\pi\)
\(992\) −8.00831 + 20.4048i −0.254264 + 0.647855i
\(993\) −4.24133 + 2.04252i −0.134594 + 0.0648173i
\(994\) −0.943182 + 8.51616i −0.0299159 + 0.270116i
\(995\) −4.41515 2.12622i −0.139970 0.0674058i
\(996\) −1.77353 + 1.64559i −0.0561964 + 0.0521426i
\(997\) 36.4885 5.49976i 1.15560 0.174179i 0.456852 0.889543i \(-0.348977\pi\)
0.698752 + 0.715364i \(0.253739\pi\)
\(998\) 3.42015 5.92387i 0.108263 0.187517i
\(999\) 6.21909 + 10.7718i 0.196763 + 0.340804i
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 637.2.bl.a.53.14 324
49.37 even 21 inner 637.2.bl.a.625.14 yes 324
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
637.2.bl.a.53.14 324 1.1 even 1 trivial
637.2.bl.a.625.14 yes 324 49.37 even 21 inner