Properties

Label 731.2.be.a.59.9
Level $731$
Weight $2$
Character 731.59
Analytic conductor $5.837$
Analytic rank $0$
Dimension $1536$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [731,2,Mod(59,731)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(731, base_ring=CyclotomicField(56))
 
chi = DirichletCharacter(H, H._module([35, 32]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("731.59");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 731 = 17 \cdot 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 731.be (of order \(56\), degree \(24\), 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: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(1536\)
Relative dimension: \(64\) over \(\Q(\zeta_{56})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{56}]$

Embedding invariants

Embedding label 59.9
Character \(\chi\) \(=\) 731.59
Dual form 731.2.be.a.508.9

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.84294 - 1.15800i) q^{2} +(0.271878 + 0.192908i) q^{3} +(1.18771 + 2.46630i) q^{4} +(-1.04595 - 3.63057i) q^{5} +(-0.277669 - 0.670353i) q^{6} +(0.626004 - 0.259300i) q^{7} +(0.179699 - 1.59487i) q^{8} +(-0.954133 - 2.72675i) q^{9} +O(q^{10})\) \(q+(-1.84294 - 1.15800i) q^{2} +(0.271878 + 0.192908i) q^{3} +(1.18771 + 2.46630i) q^{4} +(-1.04595 - 3.63057i) q^{5} +(-0.277669 - 0.670353i) q^{6} +(0.626004 - 0.259300i) q^{7} +(0.179699 - 1.59487i) q^{8} +(-0.954133 - 2.72675i) q^{9} +(-2.27656 + 7.90213i) q^{10} +(0.315611 - 5.61998i) q^{11} +(-0.152857 + 0.899652i) q^{12} +(-3.60901 + 2.87809i) q^{13} +(-1.45396 - 0.247037i) q^{14} +(0.415995 - 1.18885i) q^{15} +(1.23544 - 1.54919i) q^{16} +(1.46603 + 3.85367i) q^{17} +(-1.39916 + 6.13013i) q^{18} +(0.713130 - 2.03801i) q^{19} +(7.71179 - 6.89168i) q^{20} +(0.220218 + 0.0502633i) q^{21} +(-7.08957 + 9.99182i) q^{22} +(0.367559 - 6.54499i) q^{23} +(0.356519 - 0.398945i) q^{24} +(-7.85341 + 4.93462i) q^{25} +(9.98402 - 1.12493i) q^{26} +(0.543466 - 1.88641i) q^{27} +(1.38302 + 1.23594i) q^{28} +(-0.189197 + 1.11354i) q^{29} +(-2.14333 + 1.70925i) q^{30} +(5.91586 + 1.00515i) q^{31} +(-7.10059 + 2.48460i) q^{32} +(1.16995 - 1.46707i) q^{33} +(1.76073 - 8.79974i) q^{34} +(-1.59617 - 2.00154i) q^{35} +(5.59176 - 5.59176i) q^{36} +(-2.13472 + 5.15368i) q^{37} +(-3.67426 + 2.93013i) q^{38} +(-1.53642 + 0.0862835i) q^{39} +(-5.97824 + 1.01574i) q^{40} +(-1.35336 - 1.90738i) q^{41} +(-0.347644 - 0.347644i) q^{42} +(2.71691 - 5.96812i) q^{43} +(14.2354 - 5.89650i) q^{44} +(-8.90170 + 6.31609i) q^{45} +(-8.25647 + 11.6364i) q^{46} +(2.78549 + 5.78413i) q^{47} +(0.634740 - 0.182866i) q^{48} +(-4.62510 + 4.62510i) q^{49} +20.1876 q^{50} +(-0.344822 + 1.33054i) q^{51} +(-11.3847 - 5.48258i) q^{52} +(-0.491587 - 4.36295i) q^{53} +(-3.18603 + 2.84721i) q^{54} +(-20.7339 + 4.73237i) q^{55} +(-0.301057 - 1.04499i) q^{56} +(0.587033 - 0.416522i) q^{57} +(1.63815 - 1.83309i) q^{58} +(-7.47071 + 0.841747i) q^{59} +(3.42613 - 0.386032i) q^{60} +(-1.66992 - 9.82846i) q^{61} +(-9.73863 - 8.70297i) q^{62} +(-1.30434 - 1.45955i) q^{63} +(12.0995 + 2.76163i) q^{64} +(14.2240 + 10.0924i) q^{65} +(-3.85500 + 1.34892i) q^{66} +(-11.1017 + 5.34630i) q^{67} +(-7.76309 + 8.19270i) q^{68} +(1.36251 - 1.70854i) q^{69} +(0.623879 + 5.53708i) q^{70} +(0.468390 + 8.34046i) q^{71} +(-4.52027 + 1.03172i) q^{72} +(-0.422671 - 1.46713i) q^{73} +(9.90211 - 7.02592i) q^{74} +(-3.08710 - 0.173368i) q^{75} +(5.87333 - 0.661766i) q^{76} +(-1.25968 - 3.59997i) q^{77} +(2.93145 + 1.62015i) q^{78} +(3.12966 + 7.55567i) q^{79} +(-6.91665 - 2.86497i) q^{80} +(-6.26416 + 4.99550i) q^{81} +(0.285419 + 5.08236i) q^{82} +(7.35566 + 11.7065i) q^{83} +(0.137590 + 0.602822i) q^{84} +(12.4576 - 9.35326i) q^{85} +(-11.9182 + 7.85272i) q^{86} +(-0.266249 + 0.266249i) q^{87} +(-8.90642 - 1.51326i) q^{88} +(-2.33147 - 0.532143i) q^{89} +(23.7193 - 1.33205i) q^{90} +(-1.51297 + 2.73751i) q^{91} +(16.5785 - 6.86703i) q^{92} +(1.41450 + 1.41450i) q^{93} +(1.56451 - 13.8854i) q^{94} +(-8.14503 - 0.457415i) q^{95} +(-2.40980 - 0.694251i) q^{96} +(4.29840 + 4.80992i) q^{97} +(13.8796 - 3.16794i) q^{98} +(-15.6255 + 4.50161i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1536 q - 20 q^{2} - 20 q^{3} - 28 q^{5} - 48 q^{6} - 48 q^{7} - 36 q^{8} - 44 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1536 q - 20 q^{2} - 20 q^{3} - 28 q^{5} - 48 q^{6} - 48 q^{7} - 36 q^{8} - 44 q^{9} - 20 q^{10} - 20 q^{11} - 20 q^{12} - 52 q^{14} - 20 q^{15} + 192 q^{16} - 20 q^{17} - 64 q^{18} - 20 q^{19} - 52 q^{20} - 20 q^{22} - 16 q^{23} - 12 q^{25} - 4 q^{26} - 44 q^{27} + 28 q^{28} - 20 q^{29} - 4 q^{31} - 36 q^{32} + 32 q^{33} - 52 q^{34} - 8 q^{35} - 120 q^{36} - 16 q^{37} - 44 q^{39} - 108 q^{40} - 36 q^{41} - 48 q^{42} - 76 q^{43} + 48 q^{44} - 100 q^{45} - 100 q^{46} - 132 q^{48} - 88 q^{49} - 320 q^{50} - 20 q^{51} - 40 q^{52} - 24 q^{53} + 60 q^{54} + 88 q^{56} + 52 q^{57} + 36 q^{58} - 44 q^{59} + 36 q^{60} + 16 q^{61} + 84 q^{62} - 44 q^{63} - 60 q^{65} + 76 q^{66} + 120 q^{67} - 52 q^{68} - 88 q^{69} - 4 q^{70} - 68 q^{71} - 40 q^{73} - 252 q^{74} + 120 q^{75} - 208 q^{76} - 100 q^{77} + 204 q^{78} + 80 q^{79} + 32 q^{80} - 140 q^{82} - 96 q^{83} - 104 q^{84} + 192 q^{85} - 24 q^{86} - 88 q^{87} + 128 q^{88} - 52 q^{90} + 200 q^{91} + 592 q^{92} - 400 q^{93} - 188 q^{94} - 84 q^{95} + 88 q^{96} - 60 q^{97} + 112 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(e\left(\frac{5}{8}\right)\) \(e\left(\frac{4}{7}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.84294 1.15800i −1.30316 0.818827i −0.311815 0.950143i \(-0.600937\pi\)
−0.991341 + 0.131316i \(0.958080\pi\)
\(3\) 0.271878 + 0.192908i 0.156969 + 0.111376i 0.654470 0.756088i \(-0.272892\pi\)
−0.497501 + 0.867463i \(0.665749\pi\)
\(4\) 1.18771 + 2.46630i 0.593854 + 1.23315i
\(5\) −1.04595 3.63057i −0.467763 1.62364i −0.747992 0.663707i \(-0.768982\pi\)
0.280230 0.959933i \(-0.409589\pi\)
\(6\) −0.277669 0.670353i −0.113358 0.273670i
\(7\) 0.626004 0.259300i 0.236607 0.0980060i −0.261229 0.965277i \(-0.584128\pi\)
0.497837 + 0.867271i \(0.334128\pi\)
\(8\) 0.179699 1.59487i 0.0635331 0.563872i
\(9\) −0.954133 2.72675i −0.318044 0.908918i
\(10\) −2.27656 + 7.90213i −0.719913 + 2.49887i
\(11\) 0.315611 5.61998i 0.0951604 1.69449i −0.480656 0.876909i \(-0.659601\pi\)
0.575816 0.817579i \(-0.304684\pi\)
\(12\) −0.152857 + 0.899652i −0.0441260 + 0.259707i
\(13\) −3.60901 + 2.87809i −1.00096 + 0.798239i −0.979482 0.201530i \(-0.935409\pi\)
−0.0214779 + 0.999769i \(0.506837\pi\)
\(14\) −1.45396 0.247037i −0.388586 0.0660235i
\(15\) 0.415995 1.18885i 0.107410 0.306959i
\(16\) 1.23544 1.54919i 0.308859 0.387298i
\(17\) 1.46603 + 3.85367i 0.355564 + 0.934652i
\(18\) −1.39916 + 6.13013i −0.329786 + 1.44489i
\(19\) 0.713130 2.03801i 0.163603 0.467551i −0.832673 0.553764i \(-0.813191\pi\)
0.996277 + 0.0862130i \(0.0274765\pi\)
\(20\) 7.71179 6.89168i 1.72441 1.54103i
\(21\) 0.220218 + 0.0502633i 0.0480555 + 0.0109684i
\(22\) −7.08957 + 9.99182i −1.51150 + 2.13026i
\(23\) 0.367559 6.54499i 0.0766413 1.36473i −0.690540 0.723295i \(-0.742627\pi\)
0.767181 0.641431i \(-0.221659\pi\)
\(24\) 0.356519 0.398945i 0.0727742 0.0814344i
\(25\) −7.85341 + 4.93462i −1.57068 + 0.986925i
\(26\) 9.98402 1.12493i 1.95803 0.220617i
\(27\) 0.543466 1.88641i 0.104590 0.363040i
\(28\) 1.38302 + 1.23594i 0.261366 + 0.233571i
\(29\) −0.189197 + 1.11354i −0.0351331 + 0.206778i −0.998001 0.0631934i \(-0.979872\pi\)
0.962868 + 0.269972i \(0.0870144\pi\)
\(30\) −2.14333 + 1.70925i −0.391317 + 0.312065i
\(31\) 5.91586 + 1.00515i 1.06252 + 0.180529i 0.672365 0.740220i \(-0.265278\pi\)
0.390155 + 0.920749i \(0.372421\pi\)
\(32\) −7.10059 + 2.48460i −1.25522 + 0.439220i
\(33\) 1.16995 1.46707i 0.203662 0.255384i
\(34\) 1.76073 8.79974i 0.301963 1.50914i
\(35\) −1.59617 2.00154i −0.269803 0.338322i
\(36\) 5.59176 5.59176i 0.931961 0.931961i
\(37\) −2.13472 + 5.15368i −0.350946 + 0.847259i 0.645557 + 0.763712i \(0.276625\pi\)
−0.996504 + 0.0835477i \(0.973375\pi\)
\(38\) −3.67426 + 2.93013i −0.596044 + 0.475330i
\(39\) −1.53642 + 0.0862835i −0.246024 + 0.0138164i
\(40\) −5.97824 + 1.01574i −0.945243 + 0.160603i
\(41\) −1.35336 1.90738i −0.211359 0.297882i 0.696166 0.717881i \(-0.254888\pi\)
−0.907525 + 0.419999i \(0.862031\pi\)
\(42\) −0.347644 0.347644i −0.0536427 0.0536427i
\(43\) 2.71691 5.96812i 0.414324 0.910129i
\(44\) 14.2354 5.89650i 2.14607 0.888931i
\(45\) −8.90170 + 6.31609i −1.32699 + 0.941548i
\(46\) −8.25647 + 11.6364i −1.21735 + 1.71569i
\(47\) 2.78549 + 5.78413i 0.406305 + 0.843701i 0.999260 + 0.0384656i \(0.0122470\pi\)
−0.592955 + 0.805236i \(0.702039\pi\)
\(48\) 0.634740 0.182866i 0.0916169 0.0263944i
\(49\) −4.62510 + 4.62510i −0.660729 + 0.660729i
\(50\) 20.1876 2.85496
\(51\) −0.344822 + 1.33054i −0.0482848 + 0.186313i
\(52\) −11.3847 5.48258i −1.57877 0.760297i
\(53\) −0.491587 4.36295i −0.0675246 0.599298i −0.981219 0.192896i \(-0.938212\pi\)
0.913695 0.406402i \(-0.133217\pi\)
\(54\) −3.18603 + 2.84721i −0.433564 + 0.387457i
\(55\) −20.7339 + 4.73237i −2.79575 + 0.638112i
\(56\) −0.301057 1.04499i −0.0402304 0.139643i
\(57\) 0.587033 0.416522i 0.0777545 0.0551697i
\(58\) 1.63815 1.83309i 0.215100 0.240697i
\(59\) −7.47071 + 0.841747i −0.972604 + 0.109586i −0.583943 0.811795i \(-0.698491\pi\)
−0.388661 + 0.921381i \(0.627062\pi\)
\(60\) 3.42613 0.386032i 0.442312 0.0498366i
\(61\) −1.66992 9.82846i −0.213812 1.25841i −0.865883 0.500247i \(-0.833242\pi\)
0.652071 0.758158i \(-0.273900\pi\)
\(62\) −9.73863 8.70297i −1.23681 1.10528i
\(63\) −1.30434 1.45955i −0.164331 0.183887i
\(64\) 12.0995 + 2.76163i 1.51244 + 0.345204i
\(65\) 14.2240 + 10.0924i 1.76427 + 1.25181i
\(66\) −3.85500 + 1.34892i −0.474518 + 0.166041i
\(67\) −11.1017 + 5.34630i −1.35629 + 0.653154i −0.963806 0.266605i \(-0.914098\pi\)
−0.392483 + 0.919759i \(0.628384\pi\)
\(68\) −7.76309 + 8.19270i −0.941413 + 0.993510i
\(69\) 1.36251 1.70854i 0.164027 0.205684i
\(70\) 0.623879 + 5.53708i 0.0745678 + 0.661808i
\(71\) 0.468390 + 8.34046i 0.0555877 + 0.989830i 0.894924 + 0.446218i \(0.147229\pi\)
−0.839337 + 0.543612i \(0.817056\pi\)
\(72\) −4.52027 + 1.03172i −0.532719 + 0.121590i
\(73\) −0.422671 1.46713i −0.0494700 0.171714i 0.932339 0.361585i \(-0.117764\pi\)
−0.981809 + 0.189871i \(0.939193\pi\)
\(74\) 9.90211 7.02592i 1.15110 0.816747i
\(75\) −3.08710 0.173368i −0.356468 0.0200188i
\(76\) 5.87333 0.661766i 0.673717 0.0759097i
\(77\) −1.25968 3.59997i −0.143554 0.410255i
\(78\) 2.93145 + 1.62015i 0.331921 + 0.183446i
\(79\) 3.12966 + 7.55567i 0.352114 + 0.850079i 0.996359 + 0.0852597i \(0.0271720\pi\)
−0.644244 + 0.764820i \(0.722828\pi\)
\(80\) −6.91665 2.86497i −0.773305 0.320313i
\(81\) −6.26416 + 4.99550i −0.696018 + 0.555056i
\(82\) 0.285419 + 5.08236i 0.0315193 + 0.561253i
\(83\) 7.35566 + 11.7065i 0.807388 + 1.28495i 0.955207 + 0.295937i \(0.0956318\pi\)
−0.147819 + 0.989014i \(0.547225\pi\)
\(84\) 0.137590 + 0.602822i 0.0150123 + 0.0657733i
\(85\) 12.4576 9.35326i 1.35122 1.01450i
\(86\) −11.9182 + 7.85272i −1.28517 + 0.846780i
\(87\) −0.266249 + 0.266249i −0.0285449 + 0.0285449i
\(88\) −8.90642 1.51326i −0.949428 0.161314i
\(89\) −2.33147 0.532143i −0.247136 0.0564071i 0.0971586 0.995269i \(-0.469025\pi\)
−0.344294 + 0.938862i \(0.611882\pi\)
\(90\) 23.7193 1.33205i 2.50024 0.140410i
\(91\) −1.51297 + 2.73751i −0.158602 + 0.286969i
\(92\) 16.5785 6.86703i 1.72842 0.715937i
\(93\) 1.41450 + 1.41450i 0.146676 + 0.146676i
\(94\) 1.56451 13.8854i 0.161367 1.43217i
\(95\) −8.14503 0.457415i −0.835663 0.0469298i
\(96\) −2.40980 0.694251i −0.245949 0.0708567i
\(97\) 4.29840 + 4.80992i 0.436437 + 0.488373i 0.922743 0.385415i \(-0.125942\pi\)
−0.486306 + 0.873788i \(0.661656\pi\)
\(98\) 13.8796 3.16794i 1.40206 0.320010i
\(99\) −15.6255 + 4.50161i −1.57042 + 0.452429i
\(100\) −21.4978 13.5080i −2.14978 1.35080i
\(101\) 11.5363 5.55559i 1.14791 0.552802i 0.239502 0.970896i \(-0.423016\pi\)
0.908404 + 0.418094i \(0.137302\pi\)
\(102\) 2.17625 2.05280i 0.215480 0.203257i
\(103\) −3.78786 + 4.74983i −0.373229 + 0.468015i −0.932605 0.360900i \(-0.882470\pi\)
0.559375 + 0.828915i \(0.311041\pi\)
\(104\) 3.94165 + 6.27309i 0.386510 + 0.615127i
\(105\) −0.0478524 0.852090i −0.00466991 0.0831555i
\(106\) −4.14632 + 8.60992i −0.402726 + 0.836269i
\(107\) −2.34211 + 3.30089i −0.226420 + 0.319109i −0.913011 0.407935i \(-0.866249\pi\)
0.686591 + 0.727044i \(0.259106\pi\)
\(108\) 5.29793 0.900155i 0.509794 0.0866175i
\(109\) 1.97902 + 0.111139i 0.189555 + 0.0106452i 0.150595 0.988596i \(-0.451881\pi\)
0.0389605 + 0.999241i \(0.487595\pi\)
\(110\) 43.6913 + 15.2883i 4.16581 + 1.45768i
\(111\) −1.57457 + 0.989369i −0.149452 + 0.0939067i
\(112\) 0.371685 1.29015i 0.0351210 0.121908i
\(113\) −7.78298 2.24224i −0.732161 0.210932i −0.110122 0.993918i \(-0.535124\pi\)
−0.622039 + 0.782986i \(0.713696\pi\)
\(114\) −1.56420 + 0.0878435i −0.146501 + 0.00822730i
\(115\) −24.1465 + 5.51128i −2.25167 + 0.513930i
\(116\) −2.97102 + 0.855937i −0.275853 + 0.0794718i
\(117\) 11.2913 + 7.09481i 1.04388 + 0.655916i
\(118\) 14.7428 + 7.09977i 1.35719 + 0.653586i
\(119\) 1.91699 + 2.03227i 0.175731 + 0.186298i
\(120\) −1.82130 0.877092i −0.166261 0.0800672i
\(121\) −20.5538 2.31585i −1.86852 0.210532i
\(122\) −8.30375 + 20.0470i −0.751786 + 1.81497i
\(123\) 0.779648i 0.0702985i
\(124\) 4.54732 + 15.7841i 0.408362 + 1.41746i
\(125\) 12.0437 + 10.7629i 1.07722 + 0.962665i
\(126\) 0.713658 + 4.20029i 0.0635777 + 0.374192i
\(127\) 7.91053 12.5895i 0.701946 1.11714i −0.285377 0.958415i \(-0.592119\pi\)
0.987323 0.158725i \(-0.0507384\pi\)
\(128\) −8.46195 8.46195i −0.747938 0.747938i
\(129\) 1.88997 1.09849i 0.166402 0.0967166i
\(130\) −14.5269 35.0711i −1.27409 3.07594i
\(131\) 2.45342 14.4398i 0.214357 1.26161i −0.650466 0.759535i \(-0.725426\pi\)
0.864823 0.502077i \(-0.167431\pi\)
\(132\) 5.00779 + 1.14299i 0.435872 + 0.0994849i
\(133\) −0.0820321 1.46072i −0.00711309 0.126660i
\(134\) 26.6508 + 3.00282i 2.30228 + 0.259404i
\(135\) −7.41719 −0.638370
\(136\) 6.40954 1.64562i 0.549614 0.141111i
\(137\) −8.90129 11.1619i −0.760489 0.953623i 0.239361 0.970931i \(-0.423062\pi\)
−0.999850 + 0.0173077i \(0.994491\pi\)
\(138\) −4.48951 + 1.57095i −0.382173 + 0.133728i
\(139\) 3.27959 + 5.93397i 0.278171 + 0.503312i 0.977349 0.211635i \(-0.0678790\pi\)
−0.699178 + 0.714948i \(0.746450\pi\)
\(140\) 3.04061 6.31389i 0.256978 0.533621i
\(141\) −0.358490 + 2.10992i −0.0301903 + 0.177688i
\(142\) 8.79501 15.9134i 0.738061 1.33542i
\(143\) 15.0358 + 21.1910i 1.25736 + 1.77208i
\(144\) −5.40303 1.89060i −0.450253 0.157550i
\(145\) 4.24066 0.477808i 0.352168 0.0396798i
\(146\) −0.919967 + 3.19328i −0.0761370 + 0.264277i
\(147\) −2.14969 + 0.365246i −0.177303 + 0.0301250i
\(148\) −15.2459 + 0.856194i −1.25321 + 0.0703787i
\(149\) −0.619869 + 1.28717i −0.0507816 + 0.105449i −0.924816 0.380416i \(-0.875781\pi\)
0.874034 + 0.485865i \(0.161495\pi\)
\(150\) 5.48859 + 3.89436i 0.448141 + 0.317973i
\(151\) −12.3577 19.6672i −1.00565 1.60049i −0.779504 0.626398i \(-0.784529\pi\)
−0.226151 0.974092i \(-0.572614\pi\)
\(152\) −3.12221 1.50358i −0.253245 0.121956i
\(153\) 9.10922 7.67441i 0.736437 0.620439i
\(154\) −1.84723 + 8.09325i −0.148854 + 0.652172i
\(155\) −2.53844 22.5293i −0.203893 1.80960i
\(156\) −2.03762 3.68679i −0.163140 0.295180i
\(157\) −0.792739 1.64614i −0.0632674 0.131376i 0.866937 0.498417i \(-0.166085\pi\)
−0.930205 + 0.367041i \(0.880371\pi\)
\(158\) 2.98166 17.5488i 0.237208 1.39611i
\(159\) 0.707997 1.28102i 0.0561478 0.101592i
\(160\) 16.4474 + 23.1804i 1.30028 + 1.83257i
\(161\) −1.46702 4.19250i −0.115617 0.330416i
\(162\) 17.3293 1.95254i 1.36152 0.153406i
\(163\) 9.11095 + 0.511660i 0.713625 + 0.0400763i 0.409180 0.912454i \(-0.365815\pi\)
0.304445 + 0.952530i \(0.401529\pi\)
\(164\) 3.09677 5.60319i 0.241817 0.437535i
\(165\) −6.55000 2.71310i −0.509917 0.211215i
\(166\) 30.0921i 2.33560i
\(167\) −9.51295 + 2.74063i −0.736134 + 0.212077i −0.623789 0.781593i \(-0.714408\pi\)
−0.112345 + 0.993669i \(0.535836\pi\)
\(168\) 0.119736 0.342187i 0.00923786 0.0264003i
\(169\) 1.84879 8.10008i 0.142215 0.623083i
\(170\) −33.7897 + 2.81162i −2.59155 + 0.215641i
\(171\) −6.23757 −0.476999
\(172\) 17.9461 0.387672i 1.36837 0.0295597i
\(173\) 6.40051 15.4522i 0.486622 1.17481i −0.469788 0.882779i \(-0.655670\pi\)
0.956409 0.292029i \(-0.0943304\pi\)
\(174\) 0.798996 0.182366i 0.0605717 0.0138251i
\(175\) −3.63672 + 5.12548i −0.274910 + 0.387450i
\(176\) −8.31650 7.43208i −0.626880 0.560214i
\(177\) −2.19351 1.21231i −0.164874 0.0911226i
\(178\) 3.68055 + 3.68055i 0.275869 + 0.275869i
\(179\) −8.28080 8.28080i −0.618936 0.618936i 0.326322 0.945259i \(-0.394191\pi\)
−0.945259 + 0.326322i \(0.894191\pi\)
\(180\) −26.1500 14.4526i −1.94911 1.07723i
\(181\) 0.688065 12.2521i 0.0511435 0.910694i −0.862975 0.505247i \(-0.831401\pi\)
0.914118 0.405447i \(-0.132884\pi\)
\(182\) 5.95835 3.29306i 0.441662 0.244098i
\(183\) 1.44197 2.99429i 0.106594 0.221344i
\(184\) −10.3724 1.76234i −0.764661 0.129921i
\(185\) 20.9436 + 2.35978i 1.53980 + 0.173494i
\(186\) −0.968851 4.24481i −0.0710396 0.311245i
\(187\) 22.1202 7.02279i 1.61759 0.513557i
\(188\) −10.9570 + 13.7397i −0.799124 + 1.00207i
\(189\) −0.148934 1.32182i −0.0108333 0.0961484i
\(190\) 14.4811 + 10.2749i 1.05057 + 0.745420i
\(191\) −5.00503 10.3930i −0.362151 0.752014i 0.637682 0.770300i \(-0.279893\pi\)
−0.999833 + 0.0182856i \(0.994179\pi\)
\(192\) 2.75685 + 3.08492i 0.198959 + 0.222635i
\(193\) 23.8433 4.05113i 1.71628 0.291607i 0.775677 0.631130i \(-0.217408\pi\)
0.940598 + 0.339523i \(0.110266\pi\)
\(194\) −2.35184 13.8419i −0.168852 0.993792i
\(195\) 1.92028 + 5.48783i 0.137514 + 0.392992i
\(196\) −16.9002 5.91362i −1.20715 0.422401i
\(197\) −1.81840 10.7023i −0.129556 0.762510i −0.973946 0.226781i \(-0.927180\pi\)
0.844390 0.535729i \(-0.179963\pi\)
\(198\) 34.0096 + 9.79801i 2.41696 + 0.696314i
\(199\) 10.5104 5.80888i 0.745061 0.411781i −0.0651830 0.997873i \(-0.520763\pi\)
0.810244 + 0.586093i \(0.199335\pi\)
\(200\) 6.45884 + 13.4119i 0.456709 + 0.948365i
\(201\) −4.04966 0.688065i −0.285641 0.0485323i
\(202\) −27.6941 3.12037i −1.94855 0.219549i
\(203\) 0.170301 + 0.746137i 0.0119528 + 0.0523686i
\(204\) −3.69105 + 0.729855i −0.258426 + 0.0511000i
\(205\) −5.50932 + 6.90847i −0.384788 + 0.482509i
\(206\) 12.4811 4.36732i 0.869599 0.304286i
\(207\) −18.1973 + 5.24255i −1.26480 + 0.364382i
\(208\) 9.14675i 0.634213i
\(209\) −11.2285 4.65100i −0.776692 0.321716i
\(210\) −0.898528 + 1.62576i −0.0620044 + 0.112188i
\(211\) 2.47085 2.76488i 0.170100 0.190342i −0.654493 0.756068i \(-0.727118\pi\)
0.824594 + 0.565725i \(0.191404\pi\)
\(212\) 10.1765 6.39431i 0.698924 0.439163i
\(213\) −1.48160 + 2.35795i −0.101517 + 0.161564i
\(214\) 8.13879 3.37120i 0.556356 0.230450i
\(215\) −24.5094 3.62157i −1.67153 0.246989i
\(216\) −2.91092 1.20574i −0.198063 0.0820404i
\(217\) 3.96399 0.904755i 0.269093 0.0614188i
\(218\) −3.51851 2.49652i −0.238304 0.169086i
\(219\) 0.168105 0.480417i 0.0113595 0.0324635i
\(220\) −36.2972 45.5152i −2.44716 3.06864i
\(221\) −16.3821 9.68858i −1.10198 0.651724i
\(222\) 4.04753 0.271652
\(223\) 20.6746 + 2.32947i 1.38448 + 0.155993i 0.772566 0.634935i \(-0.218973\pi\)
0.611910 + 0.790928i \(0.290402\pi\)
\(224\) −3.80074 + 3.39655i −0.253948 + 0.226942i
\(225\) 20.9487 + 16.7060i 1.39658 + 1.11374i
\(226\) 11.7471 + 13.1450i 0.781403 + 0.874390i
\(227\) −5.43614 + 3.85715i −0.360809 + 0.256008i −0.744741 0.667354i \(-0.767427\pi\)
0.383932 + 0.923362i \(0.374570\pi\)
\(228\) 1.72449 + 0.953093i 0.114207 + 0.0631202i
\(229\) −7.71464 + 12.2778i −0.509798 + 0.811338i −0.998118 0.0613262i \(-0.980467\pi\)
0.488320 + 0.872665i \(0.337610\pi\)
\(230\) 50.8826 + 17.8046i 3.35510 + 1.17400i
\(231\) 0.351982 1.22176i 0.0231587 0.0803858i
\(232\) 1.74195 + 0.501846i 0.114364 + 0.0329478i
\(233\) 11.6198 16.3766i 0.761238 1.07286i −0.233694 0.972310i \(-0.575081\pi\)
0.994932 0.100554i \(-0.0320616\pi\)
\(234\) −12.5935 26.1506i −0.823262 1.70952i
\(235\) 18.0862 16.1628i 1.17981 1.05435i
\(236\) −10.9490 17.4253i −0.712720 1.13429i
\(237\) −0.606662 + 2.65796i −0.0394070 + 0.172653i
\(238\) −1.17954 5.96523i −0.0764583 0.386669i
\(239\) −14.6293 + 7.04512i −0.946293 + 0.455711i −0.842385 0.538876i \(-0.818849\pi\)
−0.103908 + 0.994587i \(0.533135\pi\)
\(240\) −1.32781 2.11320i −0.0857099 0.136407i
\(241\) −9.21753 16.6779i −0.593754 1.07432i −0.987874 0.155257i \(-0.950379\pi\)
0.394120 0.919059i \(-0.371049\pi\)
\(242\) 35.1976 + 28.0692i 2.26259 + 1.80435i
\(243\) −8.54691 + 0.479984i −0.548284 + 0.0307910i
\(244\) 22.2565 15.7919i 1.42483 1.01097i
\(245\) 21.6294 + 11.9541i 1.38185 + 0.763722i
\(246\) −0.902830 + 1.43685i −0.0575623 + 0.0916099i
\(247\) 3.29188 + 9.40766i 0.209457 + 0.598595i
\(248\) 2.66615 9.25441i 0.169301 0.587655i
\(249\) −0.258426 + 4.60170i −0.0163771 + 0.291621i
\(250\) −9.73243 33.7820i −0.615533 2.13656i
\(251\) 7.84813i 0.495369i 0.968841 + 0.247685i \(0.0796697\pi\)
−0.968841 + 0.247685i \(0.920330\pi\)
\(252\) 2.05053 4.95041i 0.129171 0.311847i
\(253\) −36.6667 4.13135i −2.30522 0.259736i
\(254\) −29.1573 + 14.0414i −1.82949 + 0.881036i
\(255\) 5.19128 0.139773i 0.325091 0.00875295i
\(256\) 0.272700 + 1.19478i 0.0170438 + 0.0746736i
\(257\) 13.7166 13.7166i 0.855617 0.855617i −0.135201 0.990818i \(-0.543168\pi\)
0.990818 + 0.135201i \(0.0431681\pi\)
\(258\) −4.75514 0.164123i −0.296042 0.0102178i
\(259\) 3.77976i 0.234863i
\(260\) −7.99708 + 47.0674i −0.495958 + 2.91900i
\(261\) 3.21686 0.546566i 0.199119 0.0338316i
\(262\) −21.2428 + 23.7707i −1.31238 + 1.46856i
\(263\) −0.337335 + 2.99393i −0.0208010 + 0.184614i −0.999816 0.0191734i \(-0.993897\pi\)
0.979015 + 0.203787i \(0.0653251\pi\)
\(264\) −2.12954 2.12954i −0.131064 0.131064i
\(265\) −15.3258 + 6.34817i −0.941459 + 0.389965i
\(266\) −1.54032 + 2.78701i −0.0944434 + 0.170882i
\(267\) −0.531222 0.594438i −0.0325103 0.0363790i
\(268\) −26.3711 21.0303i −1.61087 1.28463i
\(269\) 9.13502 8.16356i 0.556972 0.497741i −0.339641 0.940555i \(-0.610306\pi\)
0.896613 + 0.442814i \(0.146020\pi\)
\(270\) 13.6694 + 8.58908i 0.831895 + 0.522714i
\(271\) 12.0224 + 15.0757i 0.730311 + 0.915781i 0.998872 0.0474814i \(-0.0151195\pi\)
−0.268561 + 0.963263i \(0.586548\pi\)
\(272\) 7.78125 + 2.48981i 0.471808 + 0.150967i
\(273\) −0.939433 + 0.452407i −0.0568570 + 0.0273809i
\(274\) 3.47915 + 30.8783i 0.210183 + 1.86543i
\(275\) 25.2539 + 45.6935i 1.52287 + 2.75542i
\(276\) 5.83203 + 1.33112i 0.351047 + 0.0801242i
\(277\) −13.4613 + 0.755970i −0.808810 + 0.0454218i −0.455670 0.890149i \(-0.650600\pi\)
−0.353140 + 0.935570i \(0.614886\pi\)
\(278\) 0.827427 14.7337i 0.0496258 0.883669i
\(279\) −2.90373 17.0902i −0.173842 1.02316i
\(280\) −3.47902 + 2.18602i −0.207911 + 0.130639i
\(281\) 6.88152 + 19.6663i 0.410517 + 1.17319i 0.944732 + 0.327842i \(0.106321\pi\)
−0.534215 + 0.845348i \(0.679393\pi\)
\(282\) 3.10396 3.47333i 0.184838 0.206834i
\(283\) −14.7412 + 2.50463i −0.876272 + 0.148885i −0.588191 0.808722i \(-0.700160\pi\)
−0.288080 + 0.957606i \(0.593017\pi\)
\(284\) −20.0138 + 11.0612i −1.18760 + 0.656362i
\(285\) −2.12622 1.69560i −0.125946 0.100439i
\(286\) −3.17101 56.4650i −0.187506 3.33885i
\(287\) −1.34179 0.843102i −0.0792033 0.0497667i
\(288\) 13.5498 + 16.9909i 0.798430 + 1.00120i
\(289\) −12.7015 + 11.2992i −0.747149 + 0.664657i
\(290\) −8.36859 4.03010i −0.491420 0.236656i
\(291\) 0.240772 + 2.13691i 0.0141143 + 0.125268i
\(292\) 3.11636 2.78495i 0.182371 0.162977i
\(293\) 10.7866 8.60201i 0.630158 0.502535i −0.255538 0.966799i \(-0.582253\pi\)
0.885697 + 0.464264i \(0.153681\pi\)
\(294\) 4.38470 + 1.81620i 0.255721 + 0.105923i
\(295\) 10.8700 + 26.2425i 0.632876 + 1.52790i
\(296\) 7.83584 + 4.33071i 0.455449 + 0.251718i
\(297\) −10.4301 3.64964i −0.605214 0.211774i
\(298\) 2.63292 1.65437i 0.152521 0.0958353i
\(299\) 17.5106 + 24.6788i 1.01266 + 1.42721i
\(300\) −3.23900 7.81963i −0.187004 0.451467i
\(301\) 0.153265 4.44056i 0.00883406 0.255950i
\(302\) 50.5556i 2.90915i
\(303\) 4.20819 + 0.715001i 0.241754 + 0.0410757i
\(304\) −2.27624 3.62261i −0.130551 0.207771i
\(305\) −33.9363 + 16.3428i −1.94318 + 0.935788i
\(306\) −25.6747 + 3.59503i −1.46772 + 0.205514i
\(307\) −4.07555 −0.232604 −0.116302 0.993214i \(-0.537104\pi\)
−0.116302 + 0.993214i \(0.537104\pi\)
\(308\) 7.38247 7.38247i 0.420655 0.420655i
\(309\) −1.94612 + 0.560667i −0.110711 + 0.0318952i
\(310\) −21.4106 + 44.4597i −1.21604 + 2.52514i
\(311\) 11.5766 6.39814i 0.656447 0.362805i −0.120193 0.992751i \(-0.538351\pi\)
0.776639 + 0.629945i \(0.216923\pi\)
\(312\) −0.138482 + 2.46589i −0.00783998 + 0.139604i
\(313\) 11.1894 + 15.7700i 0.632462 + 0.891372i 0.999242 0.0389356i \(-0.0123967\pi\)
−0.366779 + 0.930308i \(0.619540\pi\)
\(314\) −0.445252 + 3.95172i −0.0251270 + 0.223009i
\(315\) −3.93474 + 6.26211i −0.221698 + 0.352830i
\(316\) −14.9174 + 16.6926i −0.839171 + 0.939033i
\(317\) 18.5767 + 5.35186i 1.04337 + 0.300590i 0.754171 0.656678i \(-0.228039\pi\)
0.289201 + 0.957268i \(0.406610\pi\)
\(318\) −2.78822 + 1.54099i −0.156356 + 0.0864146i
\(319\) 6.19834 + 1.41473i 0.347040 + 0.0792097i
\(320\) −2.62917 46.8166i −0.146975 2.61713i
\(321\) −1.27354 + 0.445630i −0.0710819 + 0.0248726i
\(322\) −2.15127 + 9.42534i −0.119886 + 0.525254i
\(323\) 8.89928 0.239610i 0.495169 0.0133323i
\(324\) −19.7604 9.51611i −1.09780 0.528673i
\(325\) 14.1408 40.4120i 0.784388 2.24165i
\(326\) −16.1984 11.4934i −0.897149 0.636561i
\(327\) 0.516613 + 0.411985i 0.0285687 + 0.0227828i
\(328\) −3.28521 + 1.81567i −0.181396 + 0.100254i
\(329\) 3.24355 + 2.89861i 0.178823 + 0.159806i
\(330\) 8.92951 + 12.5850i 0.491553 + 0.692779i
\(331\) −1.04663 + 9.28912i −0.0575281 + 0.510576i 0.931596 + 0.363495i \(0.118417\pi\)
−0.989124 + 0.147081i \(0.953012\pi\)
\(332\) −20.1353 + 32.0451i −1.10507 + 1.75870i
\(333\) 16.0896 + 0.903574i 0.881706 + 0.0495155i
\(334\) 20.7054 + 5.96513i 1.13295 + 0.326398i
\(335\) 31.0219 + 34.7136i 1.69491 + 1.89660i
\(336\) 0.349933 0.279062i 0.0190904 0.0152241i
\(337\) −0.521718 + 1.25954i −0.0284198 + 0.0686114i −0.937452 0.348114i \(-0.886822\pi\)
0.909032 + 0.416725i \(0.136822\pi\)
\(338\) −12.7871 + 12.7871i −0.695525 + 0.695525i
\(339\) −1.68348 2.11102i −0.0914340 0.114655i
\(340\) 37.8640 + 19.6153i 2.05346 + 1.06379i
\(341\) 7.51602 32.9298i 0.407015 1.78325i
\(342\) 11.4955 + 7.22309i 0.621604 + 0.390580i
\(343\) −3.51114 + 8.47665i −0.189584 + 0.457696i
\(344\) −9.03014 5.40557i −0.486873 0.291449i
\(345\) −7.62809 3.15966i −0.410682 0.170110i
\(346\) −29.6893 + 21.0657i −1.59611 + 1.13250i
\(347\) 1.37174 + 8.07351i 0.0736391 + 0.433409i 0.998579 + 0.0532949i \(0.0169723\pi\)
−0.924940 + 0.380114i \(0.875885\pi\)
\(348\) −0.972875 0.340424i −0.0521516 0.0182486i
\(349\) 3.47581 30.8487i 0.186056 1.65129i −0.459938 0.887951i \(-0.652128\pi\)
0.645994 0.763342i \(-0.276443\pi\)
\(350\) 12.6376 5.23465i 0.675506 0.279804i
\(351\) 3.46789 + 8.37223i 0.185102 + 0.446876i
\(352\) 11.7224 + 40.6893i 0.624806 + 2.16875i
\(353\) −13.6034 + 28.2478i −0.724036 + 1.50348i 0.134605 + 0.990899i \(0.457023\pi\)
−0.858641 + 0.512577i \(0.828691\pi\)
\(354\) 2.63865 + 4.77428i 0.140243 + 0.253750i
\(355\) 29.7907 10.4242i 1.58113 0.553260i
\(356\) −1.45668 6.38214i −0.0772040 0.338253i
\(357\) 0.129148 + 0.922335i 0.00683521 + 0.0488152i
\(358\) 5.67189 + 24.8502i 0.299769 + 1.31337i
\(359\) 8.10966 23.1761i 0.428011 1.22319i −0.504931 0.863160i \(-0.668482\pi\)
0.932942 0.360026i \(-0.117232\pi\)
\(360\) 8.47372 + 15.3320i 0.446604 + 0.808070i
\(361\) 11.2099 + 8.93957i 0.589993 + 0.470504i
\(362\) −15.4560 + 21.7832i −0.812349 + 1.14490i
\(363\) −5.14138 4.59462i −0.269852 0.241155i
\(364\) −8.54850 0.480073i −0.448063 0.0251627i
\(365\) −4.88441 + 3.06908i −0.255662 + 0.160643i
\(366\) −6.12485 + 3.84850i −0.320151 + 0.201164i
\(367\) −13.2049 0.741569i −0.689288 0.0387096i −0.292020 0.956412i \(-0.594327\pi\)
−0.397268 + 0.917703i \(0.630042\pi\)
\(368\) −9.68534 8.65535i −0.504883 0.451191i
\(369\) −3.90967 + 5.51016i −0.203529 + 0.286848i
\(370\) −35.8652 28.6015i −1.86454 1.48692i
\(371\) −1.43905 2.60376i −0.0747116 0.135180i
\(372\) −1.80856 + 5.16858i −0.0937696 + 0.267978i
\(373\) −5.31372 23.2809i −0.275134 1.20544i −0.903865 0.427818i \(-0.859282\pi\)
0.628731 0.777623i \(-0.283575\pi\)
\(374\) −48.8987 12.6726i −2.52849 0.655284i
\(375\) 1.19817 + 5.24954i 0.0618734 + 0.271085i
\(376\) 9.72547 3.40309i 0.501553 0.175501i
\(377\) −2.52204 4.56329i −0.129892 0.235022i
\(378\) −1.25619 + 2.60850i −0.0646114 + 0.134167i
\(379\) −3.41297 11.8467i −0.175313 0.608523i −0.999131 0.0416703i \(-0.986732\pi\)
0.823819 0.566853i \(-0.191839\pi\)
\(380\) −8.54579 20.6314i −0.438390 1.05837i
\(381\) 4.57933 1.89682i 0.234606 0.0971770i
\(382\) −2.81114 + 24.9496i −0.143830 + 1.27653i
\(383\) −1.23974 0.433805i −0.0633480 0.0221664i 0.298419 0.954435i \(-0.403541\pi\)
−0.361767 + 0.932269i \(0.617826\pi\)
\(384\) −0.668244 3.93300i −0.0341012 0.200705i
\(385\) −11.7524 + 8.33876i −0.598957 + 0.424983i
\(386\) −48.6329 20.1444i −2.47535 1.02532i
\(387\) −18.8659 1.71396i −0.959007 0.0871255i
\(388\) −6.75745 + 16.3139i −0.343057 + 0.828214i
\(389\) −16.7764 10.5413i −0.850596 0.534465i 0.0347510 0.999396i \(-0.488936\pi\)
−0.885347 + 0.464931i \(0.846079\pi\)
\(390\) 2.81594 12.3374i 0.142591 0.624730i
\(391\) 25.7611 8.17869i 1.30279 0.413614i
\(392\) 6.54531 + 8.20756i 0.330588 + 0.414544i
\(393\) 3.45259 3.45259i 0.174160 0.174160i
\(394\) −9.04206 + 21.8295i −0.455532 + 1.09975i
\(395\) 24.1579 19.2653i 1.21552 0.969343i
\(396\) −29.6608 33.1904i −1.49051 1.66788i
\(397\) −22.4838 6.47748i −1.12843 0.325096i −0.340126 0.940380i \(-0.610470\pi\)
−0.788305 + 0.615284i \(0.789041\pi\)
\(398\) −26.0967 1.46556i −1.30811 0.0734618i
\(399\) 0.259481 0.412962i 0.0129903 0.0206740i
\(400\) −2.05773 + 18.2628i −0.102886 + 0.913142i
\(401\) −1.99258 2.80827i −0.0995045 0.140238i 0.762789 0.646648i \(-0.223830\pi\)
−0.862293 + 0.506409i \(0.830972\pi\)
\(402\) 6.66650 + 5.95755i 0.332495 + 0.297136i
\(403\) −24.2433 + 13.3988i −1.20765 + 0.667443i
\(404\) 27.4035 + 21.8536i 1.36338 + 1.08726i
\(405\) 24.6885 + 17.5174i 1.22678 + 0.870449i
\(406\) 0.550170 1.57229i 0.0273045 0.0780316i
\(407\) 28.2898 + 13.6237i 1.40228 + 0.675300i
\(408\) 2.06007 + 0.789043i 0.101989 + 0.0390634i
\(409\) −6.98748 + 30.6141i −0.345508 + 1.51377i 0.441744 + 0.897141i \(0.354360\pi\)
−0.787253 + 0.616631i \(0.788497\pi\)
\(410\) 18.1533 6.35213i 0.896530 0.313709i
\(411\) −0.266856 4.75180i −0.0131630 0.234389i
\(412\) −16.2134 3.70060i −0.798776 0.182315i
\(413\) −4.45843 + 2.46409i −0.219385 + 0.121250i
\(414\) 39.6074 + 11.4107i 1.94660 + 0.560805i
\(415\) 34.8075 38.9496i 1.70863 1.91196i
\(416\) 18.4752 29.4031i 0.905821 1.44161i
\(417\) −0.253061 + 2.24598i −0.0123924 + 0.109986i
\(418\) 15.3076 + 21.5741i 0.748721 + 1.05522i
\(419\) 1.35838 24.1883i 0.0663614 1.18167i −0.771659 0.636036i \(-0.780573\pi\)
0.838021 0.545638i \(-0.183713\pi\)
\(420\) 2.04468 1.13005i 0.0997700 0.0551409i
\(421\) 9.08312 18.8613i 0.442684 0.919243i −0.553573 0.832801i \(-0.686736\pi\)
0.996257 0.0864422i \(-0.0275498\pi\)
\(422\) −7.75535 + 2.23428i −0.377524 + 0.108763i
\(423\) 13.1142 13.1142i 0.637633 0.637633i
\(424\) −7.04668 −0.342217
\(425\) −30.5297 23.0301i −1.48091 1.11713i
\(426\) 5.46099 2.62987i 0.264586 0.127418i
\(427\) −3.59389 5.71965i −0.173921 0.276793i
\(428\) −10.9227 1.85585i −0.527970 0.0897057i
\(429\) 8.66189i 0.418200i
\(430\) 40.9756 + 35.0562i 1.97602 + 1.69056i
\(431\) −14.7383 35.5813i −0.709917 1.71389i −0.700209 0.713938i \(-0.746910\pi\)
−0.00970821 0.999953i \(-0.503090\pi\)
\(432\) −2.25099 3.17248i −0.108301 0.152636i
\(433\) 30.8623 19.3921i 1.48315 0.931923i 0.484789 0.874631i \(-0.338896\pi\)
0.998358 0.0572913i \(-0.0182464\pi\)
\(434\) −8.35310 2.92288i −0.400962 0.140303i
\(435\) 1.24512 + 0.688152i 0.0596988 + 0.0329944i
\(436\) 2.07639 + 5.01285i 0.0994411 + 0.240072i
\(437\) −13.0766 5.41652i −0.625541 0.259107i
\(438\) −0.866128 + 0.690714i −0.0413852 + 0.0330036i
\(439\) −8.15943 + 7.29171i −0.389428 + 0.348015i −0.837940 0.545763i \(-0.816240\pi\)
0.448511 + 0.893777i \(0.351954\pi\)
\(440\) 3.82166 + 33.9182i 0.182191 + 1.61699i
\(441\) 17.0245 + 8.19856i 0.810690 + 0.390408i
\(442\) 18.9719 + 36.8259i 0.902404 + 1.75163i
\(443\) 1.82312 + 2.28612i 0.0866191 + 0.108617i 0.823253 0.567675i \(-0.192157\pi\)
−0.736633 + 0.676292i \(0.763586\pi\)
\(444\) −4.31021 2.70828i −0.204554 0.128530i
\(445\) 0.506618 + 9.02117i 0.0240160 + 0.427644i
\(446\) −35.4046 28.2342i −1.67646 1.33693i
\(447\) −0.416835 + 0.230376i −0.0197156 + 0.0108964i
\(448\) 8.29043 1.40860i 0.391686 0.0665502i
\(449\) −10.5592 + 11.8157i −0.498319 + 0.557619i −0.940714 0.339201i \(-0.889843\pi\)
0.442395 + 0.896820i \(0.354129\pi\)
\(450\) −19.2617 55.0468i −0.908005 2.59493i
\(451\) −11.1466 + 7.00385i −0.524871 + 0.329798i
\(452\) −3.71387 21.8583i −0.174686 1.02813i
\(453\) 0.434162 7.73097i 0.0203987 0.363233i
\(454\) 14.4851 0.813463i 0.679817 0.0381777i
\(455\) 11.5212 + 2.62964i 0.540123 + 0.123280i
\(456\) −0.558810 1.01109i −0.0261687 0.0473486i
\(457\) 3.42624 + 30.4088i 0.160273 + 1.42246i 0.774121 + 0.633038i \(0.218192\pi\)
−0.613848 + 0.789424i \(0.710379\pi\)
\(458\) 28.4352 13.6937i 1.32869 0.639864i
\(459\) 8.06634 0.671194i 0.376504 0.0313287i
\(460\) −42.2715 53.0067i −1.97092 2.47145i
\(461\) −29.0873 18.2768i −1.35473 0.851235i −0.358136 0.933669i \(-0.616588\pi\)
−0.996597 + 0.0824342i \(0.973731\pi\)
\(462\) −2.06347 + 1.84403i −0.0960015 + 0.0857922i
\(463\) −11.1831 8.91820i −0.519722 0.414464i 0.328182 0.944614i \(-0.393564\pi\)
−0.847904 + 0.530150i \(0.822135\pi\)
\(464\) 1.49134 + 1.66881i 0.0692336 + 0.0774724i
\(465\) 3.65593 6.61492i 0.169540 0.306759i
\(466\) −40.3786 + 16.7254i −1.87050 + 0.774787i
\(467\) −23.2609 23.2609i −1.07639 1.07639i −0.996830 0.0795572i \(-0.974649\pi\)
−0.0795572 0.996830i \(-0.525351\pi\)
\(468\) −4.08714 + 36.2744i −0.188928 + 1.67678i
\(469\) −5.56342 + 6.22547i −0.256895 + 0.287466i
\(470\) −52.0483 + 8.84336i −2.40081 + 0.407914i
\(471\) 0.102025 0.600475i 0.00470106 0.0276684i
\(472\) 12.0661i 0.555386i
\(473\) −32.6832 17.1526i −1.50278 0.788676i
\(474\) 4.19595 4.19595i 0.192727 0.192727i
\(475\) 4.45631 + 19.5244i 0.204469 + 0.895839i
\(476\) −2.73537 + 7.14163i −0.125375 + 0.327336i
\(477\) −11.4277 + 5.50327i −0.523237 + 0.251978i
\(478\) 35.1192 + 3.95699i 1.60632 + 0.180988i
\(479\) −4.29516 + 10.3694i −0.196251 + 0.473792i −0.991117 0.132993i \(-0.957541\pi\)
0.794866 + 0.606785i \(0.207541\pi\)
\(480\) 9.47509i 0.432477i
\(481\) −7.12851 24.7436i −0.325032 1.12821i
\(482\) −2.32555 + 41.4102i −0.105926 + 1.88618i
\(483\) 0.409916 1.42285i 0.0186518 0.0647420i
\(484\) −18.7003 53.4423i −0.850012 2.42920i
\(485\) 12.9668 20.6366i 0.588793 0.937059i
\(486\) 16.3073 + 9.01271i 0.739712 + 0.408825i
\(487\) −14.7052 + 10.4339i −0.666356 + 0.472805i −0.861358 0.507998i \(-0.830386\pi\)
0.195002 + 0.980803i \(0.437529\pi\)
\(488\) −15.9752 + 0.897147i −0.723163 + 0.0406120i
\(489\) 2.37837 + 1.89669i 0.107554 + 0.0857711i
\(490\) −26.0188 47.0775i −1.17541 2.12675i
\(491\) −8.90533 14.1728i −0.401892 0.639608i 0.583061 0.812428i \(-0.301855\pi\)
−0.984953 + 0.172821i \(0.944712\pi\)
\(492\) 1.92285 0.925994i 0.0866886 0.0417470i
\(493\) −4.56857 + 0.903370i −0.205758 + 0.0406858i
\(494\) 4.82729 21.1497i 0.217190 0.951572i
\(495\) 32.6869 + 52.0208i 1.46917 + 2.33816i
\(496\) 8.86584 7.92300i 0.398088 0.355753i
\(497\) 2.45589 + 5.09971i 0.110162 + 0.228753i
\(498\) 5.80502 8.18141i 0.260129 0.366618i
\(499\) 0.990958 + 0.285490i 0.0443614 + 0.0127803i 0.298942 0.954271i \(-0.403366\pi\)
−0.254581 + 0.967051i \(0.581938\pi\)
\(500\) −12.2402 + 42.4866i −0.547398 + 1.90006i
\(501\) −3.11506 1.09001i −0.139170 0.0486978i
\(502\) 9.08810 14.4636i 0.405622 0.645544i
\(503\) −22.4666 12.4169i −1.00174 0.553640i −0.104189 0.994558i \(-0.533225\pi\)
−0.897548 + 0.440917i \(0.854653\pi\)
\(504\) −2.56219 + 1.81797i −0.114129 + 0.0809787i
\(505\) −32.2364 36.0725i −1.43450 1.60521i
\(506\) 62.7906 + 50.0738i 2.79138 + 2.22605i
\(507\) 2.06522 1.84559i 0.0917195 0.0819656i
\(508\) 40.4450 + 4.55705i 1.79446 + 0.202187i
\(509\) 10.6366 0.471459 0.235729 0.971819i \(-0.424252\pi\)
0.235729 + 0.971819i \(0.424252\pi\)
\(510\) −9.72908 5.75389i −0.430811 0.254786i
\(511\) −0.645019 0.808828i −0.0285340 0.0357805i
\(512\) −7.02393 + 20.0732i −0.310417 + 0.887120i
\(513\) −3.45696 2.45285i −0.152629 0.108296i
\(514\) −41.1626 + 9.39510i −1.81560 + 0.414400i
\(515\) 21.2065 + 8.78402i 0.934470 + 0.387070i
\(516\) 4.95393 + 3.35654i 0.218085 + 0.147763i
\(517\) 33.3858 13.8289i 1.46831 0.608192i
\(518\) 4.37695 6.96587i 0.192312 0.306063i
\(519\) 4.72101 2.96641i 0.207229 0.130211i
\(520\) 18.6521 20.8718i 0.817951 0.915287i
\(521\) −19.4867 + 35.2585i −0.853728 + 1.54470i −0.0151743 + 0.999885i \(0.504830\pi\)
−0.838554 + 0.544819i \(0.816598\pi\)
\(522\) −6.56140 2.71782i −0.287185 0.118956i
\(523\) 14.4072i 0.629983i −0.949094 0.314992i \(-0.897998\pi\)
0.949094 0.314992i \(-0.102002\pi\)
\(524\) 38.5269 11.0994i 1.68305 0.484879i
\(525\) −1.97749 + 0.691955i −0.0863049 + 0.0301994i
\(526\) 4.08865 5.12701i 0.178274 0.223548i
\(527\) 4.79932 + 24.2714i 0.209062 + 1.05728i
\(528\) −0.827370 3.62494i −0.0360066 0.157755i
\(529\) −19.8465 2.23616i −0.862890 0.0972243i
\(530\) 35.5958 + 6.04796i 1.54618 + 0.262707i
\(531\) 9.42329 + 19.5677i 0.408936 + 0.849164i
\(532\) 3.50514 1.93722i 0.151967 0.0839892i
\(533\) 10.3739 + 2.98867i 0.449343 + 0.129453i
\(534\) 0.290654 + 1.71067i 0.0125778 + 0.0740278i
\(535\) 14.4338 + 5.05062i 0.624030 + 0.218357i
\(536\) 6.53169 + 18.6665i 0.282126 + 0.806269i
\(537\) −0.653939 3.84881i −0.0282195 0.166088i
\(538\) −26.2887 + 4.46663i −1.13339 + 0.192570i
\(539\) 24.5333 + 27.4527i 1.05672 + 1.18247i
\(540\) −8.80945 18.2930i −0.379098 0.787206i
\(541\) 29.4741 + 20.9130i 1.26719 + 0.899118i 0.997953 0.0639557i \(-0.0203716\pi\)
0.269236 + 0.963074i \(0.413229\pi\)
\(542\) −4.69908 41.7055i −0.201843 1.79140i
\(543\) 2.55061 3.19836i 0.109457 0.137255i
\(544\) −19.9845 23.7208i −0.856828 1.01702i
\(545\) −1.66645 7.30121i −0.0713830 0.312749i
\(546\) 2.25520 + 0.254100i 0.0965138 + 0.0108745i
\(547\) 20.9280 + 3.55581i 0.894817 + 0.152036i 0.596672 0.802485i \(-0.296489\pi\)
0.298145 + 0.954521i \(0.403632\pi\)
\(548\) 16.9564 35.2103i 0.724341 1.50411i
\(549\) −25.2065 + 13.9311i −1.07579 + 0.594566i
\(550\) 6.37145 113.454i 0.271680 4.83770i
\(551\) 2.13447 + 1.17968i 0.0909316 + 0.0502561i
\(552\) −2.48005 2.48005i −0.105558 0.105558i
\(553\) 3.91836 + 3.91836i 0.166626 + 0.166626i
\(554\) 25.6838 + 14.1949i 1.09120 + 0.603084i
\(555\) 5.23889 + 4.68176i 0.222379 + 0.198730i
\(556\) −10.7398 + 15.1363i −0.455467 + 0.641921i
\(557\) 31.9888 7.30123i 1.35541 0.309363i 0.517738 0.855539i \(-0.326774\pi\)
0.837670 + 0.546176i \(0.183917\pi\)
\(558\) −14.4389 + 34.8587i −0.611249 + 1.47568i
\(559\) 7.37144 + 29.3585i 0.311779 + 1.24173i
\(560\) −5.07274 −0.214362
\(561\) 7.36877 + 2.35783i 0.311110 + 0.0995476i
\(562\) 10.0912 44.2125i 0.425672 1.86499i
\(563\) −9.56704 + 27.3410i −0.403202 + 1.15229i 0.546045 + 0.837756i \(0.316133\pi\)
−0.949247 + 0.314531i \(0.898153\pi\)
\(564\) −5.62948 + 1.62183i −0.237044 + 0.0682912i
\(565\) 30.6019i 1.28743i
\(566\) 30.0674 + 12.4543i 1.26383 + 0.523495i
\(567\) −2.62606 + 4.75150i −0.110284 + 0.199544i
\(568\) 13.3861 + 0.751748i 0.561669 + 0.0315426i
\(569\) 29.7648 3.35369i 1.24780 0.140594i 0.536757 0.843737i \(-0.319649\pi\)
0.711048 + 0.703143i \(0.248221\pi\)
\(570\) 1.95499 + 5.58705i 0.0818857 + 0.234016i
\(571\) 15.4195 + 21.7317i 0.645284 + 0.909443i 0.999671 0.0256563i \(-0.00816755\pi\)
−0.354387 + 0.935099i \(0.615310\pi\)
\(572\) −34.4051 + 62.2514i −1.43855 + 2.60286i
\(573\) 0.644143 3.79116i 0.0269095 0.158378i
\(574\) 1.49653 + 3.10757i 0.0624639 + 0.129708i
\(575\) 29.4105 + 53.2143i 1.22650 + 2.21919i
\(576\) −4.01424 35.6274i −0.167260 1.48447i
\(577\) 7.85755 34.4262i 0.327114 1.43318i −0.497490 0.867470i \(-0.665745\pi\)
0.824604 0.565710i \(-0.191398\pi\)
\(578\) 36.4926 6.11538i 1.51789 0.254366i
\(579\) 7.26396 + 3.49814i 0.301880 + 0.145378i
\(580\) 6.21508 + 9.89125i 0.258067 + 0.410712i
\(581\) 7.64016 + 5.42098i 0.316967 + 0.224900i
\(582\) 2.03081 4.21701i 0.0841796 0.174801i
\(583\) −24.6749 + 1.38571i −1.02193 + 0.0573903i
\(584\) −2.41583 + 0.410465i −0.0999676 + 0.0169852i
\(585\) 13.9481 48.4148i 0.576681 2.00170i
\(586\) −29.8401 + 3.36217i −1.23268 + 0.138890i
\(587\) 27.1785 + 9.51016i 1.12178 + 0.392526i 0.826529 0.562895i \(-0.190312\pi\)
0.295247 + 0.955421i \(0.404598\pi\)
\(588\) −3.45400 4.86796i −0.142441 0.200751i
\(589\) 6.26728 11.3398i 0.258239 0.467248i
\(590\) 10.3560 60.9508i 0.426348 2.50931i
\(591\) 1.57018 3.26052i 0.0645887 0.134120i
\(592\) 5.34671 + 9.67414i 0.219748 + 0.397605i
\(593\) −25.6653 + 8.98068i −1.05395 + 0.368792i −0.800986 0.598684i \(-0.795691\pi\)
−0.252962 + 0.967476i \(0.581405\pi\)
\(594\) 14.9957 + 18.8041i 0.615283 + 0.771540i
\(595\) 5.37323 9.08544i 0.220281 0.372467i
\(596\) −3.91077 −0.160191
\(597\) 3.97813 + 0.448227i 0.162814 + 0.0183447i
\(598\) −3.69294 65.7588i −0.151015 2.68908i
\(599\) −8.31872 1.89869i −0.339894 0.0775785i 0.0491672 0.998791i \(-0.484343\pi\)
−0.389061 + 0.921212i \(0.627200\pi\)
\(600\) −0.831247 + 4.89237i −0.0339355 + 0.199730i
\(601\) 3.72840 + 9.00115i 0.152085 + 0.367165i 0.981498 0.191470i \(-0.0613255\pi\)
−0.829414 + 0.558635i \(0.811325\pi\)
\(602\) −5.42461 + 8.00621i −0.221091 + 0.326309i
\(603\) 25.1705 + 25.1705i 1.02502 + 1.02502i
\(604\) 33.8278 53.8366i 1.37643 2.19058i
\(605\) 13.0903 + 77.0441i 0.532197 + 3.13229i
\(606\) −6.92748 6.19078i −0.281410 0.251483i
\(607\) −6.23077 21.6275i −0.252899 0.877832i −0.981268 0.192647i \(-0.938293\pi\)
0.728369 0.685185i \(-0.240279\pi\)
\(608\) 16.2429i 0.658737i
\(609\) −0.0976347 + 0.235711i −0.00395636 + 0.00955149i
\(610\) 81.4675 + 9.17918i 3.29852 + 0.371654i
\(611\) −26.7001 12.8581i −1.08017 0.520183i
\(612\) 29.7465 + 13.3511i 1.20243 + 0.539687i
\(613\) 1.09651 + 0.528051i 0.0442876 + 0.0213278i 0.455896 0.890033i \(-0.349319\pi\)
−0.411609 + 0.911361i \(0.635033\pi\)
\(614\) 7.51100 + 4.71948i 0.303119 + 0.190463i
\(615\) −2.83057 + 0.815472i −0.114140 + 0.0328830i
\(616\) −5.96785 + 1.36212i −0.240451 + 0.0548815i
\(617\) −28.6470 + 1.60878i −1.15328 + 0.0647670i −0.622415 0.782687i \(-0.713848\pi\)
−0.530869 + 0.847454i \(0.678134\pi\)
\(618\) 4.23583 + 1.22032i 0.170390 + 0.0490886i
\(619\) −0.185006 + 0.642170i −0.00743602 + 0.0258110i −0.964549 0.263905i \(-0.914989\pi\)
0.957113 + 0.289716i \(0.0935609\pi\)
\(620\) 52.5491 33.0188i 2.11042 1.32607i
\(621\) −12.1468 4.25035i −0.487434 0.170561i
\(622\) −28.7439 1.61423i −1.15253 0.0647245i
\(623\) −1.59750 + 0.271426i −0.0640023 + 0.0108744i
\(624\) −1.76448 + 2.48681i −0.0706358 + 0.0995519i
\(625\) 6.35697 13.2004i 0.254279 0.528015i
\(626\) −2.35982 42.0204i −0.0943173 1.67947i
\(627\) −2.15557 3.43058i −0.0860853 0.137004i
\(628\) 3.11833 3.91026i 0.124435 0.156036i
\(629\) −22.9901 0.671082i −0.916676 0.0267578i
\(630\) 14.5030 6.98428i 0.577813 0.278260i
\(631\) 26.1927 + 16.4580i 1.04272 + 0.655181i 0.940574 0.339589i \(-0.110288\pi\)
0.102141 + 0.994770i \(0.467431\pi\)
\(632\) 12.6127 3.63366i 0.501707 0.144539i
\(633\) 1.20514 0.275065i 0.0478999 0.0109328i
\(634\) −28.0383 31.3749i −1.11354 1.24606i
\(635\) −53.9812 15.5517i −2.14218 0.617151i
\(636\) 4.00028 + 0.224651i 0.158622 + 0.00890800i
\(637\) 3.38059 30.0035i 0.133944 1.18878i
\(638\) −9.78492 9.78492i −0.387389 0.387389i
\(639\) 22.2955 9.23509i 0.881996 0.365335i
\(640\) −21.8709 + 39.5725i −0.864525 + 1.56424i
\(641\) −23.4264 + 1.31560i −0.925288 + 0.0519631i −0.512332 0.858788i \(-0.671218\pi\)
−0.412957 + 0.910751i \(0.635504\pi\)
\(642\) 2.86309 + 0.653482i 0.112997 + 0.0257909i
\(643\) −47.5945 8.08663i −1.87694 0.318906i −0.887158 0.461467i \(-0.847323\pi\)
−0.989786 + 0.142561i \(0.954466\pi\)
\(644\) 8.59758 8.59758i 0.338792 0.338792i
\(645\) −5.96495 5.71269i −0.234870 0.224937i
\(646\) −16.6783 9.86375i −0.656200 0.388084i
\(647\) −4.04209 17.7096i −0.158911 0.696235i −0.990114 0.140266i \(-0.955204\pi\)
0.831203 0.555969i \(-0.187653\pi\)
\(648\) 6.84152 + 10.8882i 0.268760 + 0.427729i
\(649\) 2.37276 + 42.2509i 0.0931390 + 1.65849i
\(650\) −72.8575 + 58.1019i −2.85771 + 2.27894i
\(651\) 1.25226 + 0.518702i 0.0490799 + 0.0203295i
\(652\) 9.55924 + 23.0780i 0.374369 + 0.903806i
\(653\) −39.2549 21.6954i −1.53616 0.849007i −0.999988 0.00489934i \(-0.998440\pi\)
−0.536174 0.844107i \(-0.680131\pi\)
\(654\) −0.475010 1.35750i −0.0185743 0.0530824i
\(655\) −54.9909 + 6.19599i −2.14867 + 0.242097i
\(656\) −4.62688 0.259840i −0.180649 0.0101450i
\(657\) −3.59721 + 2.55235i −0.140340 + 0.0995768i
\(658\) −2.62109 9.09799i −0.102181 0.354677i
\(659\) −14.6827 + 3.35123i −0.571957 + 0.130545i −0.498711 0.866769i \(-0.666193\pi\)
−0.0732460 + 0.997314i \(0.523336\pi\)
\(660\) −1.08817 19.3766i −0.0423569 0.754235i
\(661\) −2.88147 25.5737i −0.112076 0.994703i −0.916332 0.400419i \(-0.868864\pi\)
0.804256 0.594283i \(-0.202564\pi\)
\(662\) 12.6856 15.9073i 0.493042 0.618255i
\(663\) −2.58494 5.79436i −0.100391 0.225034i
\(664\) 19.9921 9.62768i 0.775843 0.373626i
\(665\) −5.21744 + 1.82566i −0.202323 + 0.0707960i
\(666\) −28.6059 20.2970i −1.10846 0.786491i
\(667\) 7.21854 + 1.64759i 0.279503 + 0.0637948i
\(668\) −18.0578 20.2067i −0.698678 0.781821i
\(669\) 5.17161 + 4.62164i 0.199946 + 0.178683i
\(670\) −16.9734 99.8983i −0.655740 3.85941i
\(671\) −55.7628 + 6.28296i −2.15270 + 0.242551i
\(672\) −1.68856 + 0.190255i −0.0651377 + 0.00733926i
\(673\) −8.67428 + 9.70652i −0.334369 + 0.374159i −0.888976 0.457953i \(-0.848583\pi\)
0.554607 + 0.832112i \(0.312868\pi\)
\(674\) 2.42004 1.71711i 0.0932163 0.0661405i
\(675\) 5.04067 + 17.4966i 0.194016 + 0.673443i
\(676\) 22.1731 5.06085i 0.852810 0.194648i
\(677\) −5.23128 + 4.67496i −0.201054 + 0.179673i −0.760790 0.648998i \(-0.775188\pi\)
0.559736 + 0.828671i \(0.310903\pi\)
\(678\) 0.658003 + 5.83994i 0.0252705 + 0.224281i
\(679\) 3.93803 + 1.89645i 0.151128 + 0.0727792i
\(680\) −12.6786 21.5491i −0.486202 0.826369i
\(681\) −2.22205 −0.0851490
\(682\) −51.9842 + 51.9842i −1.99058 + 1.99058i
\(683\) −28.2547 + 8.14004i −1.08114 + 0.311470i −0.769445 0.638714i \(-0.779467\pi\)
−0.311691 + 0.950183i \(0.600895\pi\)
\(684\) −7.40841 15.3837i −0.283268 0.588211i
\(685\) −31.2137 + 43.9915i −1.19261 + 1.68083i
\(686\) 16.2868 11.5561i 0.621832 0.441213i
\(687\) −4.46593 + 1.84985i −0.170386 + 0.0705761i
\(688\) −5.88918 11.5822i −0.224523 0.441569i
\(689\) 14.3311 + 14.3311i 0.545972 + 0.545972i
\(690\) 10.3992 + 14.6564i 0.395892 + 0.557958i
\(691\) 11.6445 1.97848i 0.442978 0.0752650i 0.0582649 0.998301i \(-0.481443\pi\)
0.384713 + 0.923036i \(0.374300\pi\)
\(692\) 45.7117 2.56711i 1.73770 0.0975870i
\(693\) −8.61433 + 6.86970i −0.327231 + 0.260958i
\(694\) 6.82105 16.4675i 0.258924 0.625097i
\(695\) 18.1134 18.1134i 0.687080 0.687080i
\(696\) 0.376787 + 0.472476i 0.0142821 + 0.0179092i
\(697\) 5.36634 8.01165i 0.203265 0.303463i
\(698\) −42.1284 + 52.8274i −1.59458 + 1.99955i
\(699\) 6.31834 2.21088i 0.238982 0.0836233i
\(700\) −16.9603 2.88168i −0.641041 0.108917i
\(701\) 21.8719 17.4422i 0.826090 0.658785i −0.116332 0.993210i \(-0.537114\pi\)
0.942422 + 0.334426i \(0.108542\pi\)
\(702\) 3.30389 19.4453i 0.124697 0.733916i
\(703\) 8.98091 + 8.02583i 0.338721 + 0.302700i
\(704\) 19.3391 67.1274i 0.728869 2.52996i
\(705\) 8.03518 0.905348i 0.302623 0.0340974i
\(706\) 57.7811 36.3062i 2.17462 1.36640i
\(707\) 5.78122 6.46918i 0.217425 0.243299i
\(708\) 0.384671 6.84971i 0.0144568 0.257428i
\(709\) 4.77159 6.72493i 0.179201 0.252560i −0.716125 0.697972i \(-0.754086\pi\)
0.895326 + 0.445412i \(0.146943\pi\)
\(710\) −66.9737 15.2863i −2.51348 0.573685i
\(711\) 17.6164 15.7429i 0.660665 0.590406i
\(712\) −1.26766 + 3.62277i −0.0475076 + 0.135769i
\(713\) 8.75310 38.3498i 0.327806 1.43621i
\(714\) 0.830049 1.84936i 0.0310638 0.0692106i
\(715\) 61.2086 76.7531i 2.28907 2.87040i
\(716\) 10.5878 30.2581i 0.395684 1.13080i
\(717\) −5.33646 0.906702i −0.199294 0.0338614i
\(718\) −41.7834 + 33.3212i −1.55934 + 1.24353i
\(719\) 7.27114 42.7949i 0.271168 1.59598i −0.443342 0.896353i \(-0.646207\pi\)
0.714509 0.699626i \(-0.246650\pi\)
\(720\) −1.21267 + 21.5936i −0.0451935 + 0.804745i
\(721\) −1.13959 + 3.95561i −0.0424406 + 0.147314i
\(722\) −10.3071 29.4561i −0.383592 1.09624i
\(723\) 0.711247 6.31249i 0.0264516 0.234764i
\(724\) 31.0347 12.8550i 1.15339 0.477752i
\(725\) −4.00904 9.67867i −0.148892 0.359457i
\(726\) 4.15471 + 14.4213i 0.154196 + 0.535225i
\(727\) 2.19212 + 4.55197i 0.0813011 + 0.168823i 0.937656 0.347564i \(-0.112991\pi\)
−0.856355 + 0.516387i \(0.827277\pi\)
\(728\) 4.09410 + 2.90492i 0.151737 + 0.107663i
\(729\) 17.9360 + 11.2699i 0.664295 + 0.417404i
\(730\) 12.5557 0.464706
\(731\) 26.9822 + 1.72063i 0.997973 + 0.0636398i
\(732\) 9.09745 0.336252
\(733\) 14.3361 + 9.00796i 0.529516 + 0.332717i 0.770112 0.637909i \(-0.220200\pi\)
−0.240597 + 0.970625i \(0.577343\pi\)
\(734\) 23.4770 + 16.6578i 0.866553 + 0.614852i
\(735\) 3.57451 + 7.42256i 0.131848 + 0.273785i
\(736\) 13.6518 + 47.3865i 0.503213 + 1.74669i
\(737\) 26.5423 + 64.0787i 0.977697 + 2.36037i
\(738\) 13.5860 5.62752i 0.500109 0.207152i
\(739\) −2.24838 + 19.9549i −0.0827081 + 0.734054i 0.882093 + 0.471075i \(0.156134\pi\)
−0.964801 + 0.262980i \(0.915295\pi\)
\(740\) 19.0550 + 54.4559i 0.700474 + 2.00184i
\(741\) −0.919821 + 3.19277i −0.0337905 + 0.117289i
\(742\) −0.363066 + 6.46499i −0.0133286 + 0.237337i
\(743\) 6.54532 38.5230i 0.240124 1.41327i −0.567403 0.823440i \(-0.692052\pi\)
0.807527 0.589830i \(-0.200805\pi\)
\(744\) 2.51012 2.00175i 0.0920254 0.0733878i
\(745\) 5.32151 + 0.904162i 0.194965 + 0.0331259i
\(746\) −17.1664 + 49.0586i −0.628505 + 1.79616i
\(747\) 24.9024 31.2266i 0.911131 1.14252i
\(748\) 43.5927 + 46.2141i 1.59391 + 1.68976i
\(749\) −0.610250 + 2.67368i −0.0222981 + 0.0976942i
\(750\) 3.87079 11.0621i 0.141341 0.403930i
\(751\) −22.5056 + 20.1123i −0.821242 + 0.733906i −0.966825 0.255440i \(-0.917780\pi\)
0.145583 + 0.989346i \(0.453494\pi\)
\(752\) 12.4020 + 2.83068i 0.452255 + 0.103224i
\(753\) −1.51397 + 2.13374i −0.0551720 + 0.0777577i
\(754\) −0.636301 + 11.3304i −0.0231727 + 0.412629i
\(755\) −58.4775 + 65.4363i −2.12821 + 2.38147i
\(756\) 3.08312 1.93725i 0.112132 0.0704572i
\(757\) −52.1778 + 5.87903i −1.89643 + 0.213677i −0.981707 0.190396i \(-0.939023\pi\)
−0.914727 + 0.404073i \(0.867594\pi\)
\(758\) −7.42852 + 25.7850i −0.269816 + 0.936552i
\(759\) −9.17193 8.19654i −0.332920 0.297515i
\(760\) −2.19317 + 12.9081i −0.0795546 + 0.468225i
\(761\) −6.15971 + 4.91221i −0.223289 + 0.178067i −0.728745 0.684785i \(-0.759896\pi\)
0.505455 + 0.862853i \(0.331324\pi\)
\(762\) −10.6359 1.80712i −0.385299 0.0654650i
\(763\) 1.26769 0.443585i 0.0458935 0.0160588i
\(764\) 19.6879 24.6878i 0.712282 0.893173i
\(765\) −37.3903 25.0446i −1.35185 0.905491i
\(766\) 1.78243 + 2.23510i 0.0644019 + 0.0807574i
\(767\) 24.5393 24.5393i 0.886061 0.886061i
\(768\) −0.156341 + 0.377440i −0.00564147 + 0.0136197i
\(769\) 29.0613 23.1756i 1.04798 0.835734i 0.0612506 0.998122i \(-0.480491\pi\)
0.986727 + 0.162388i \(0.0519197\pi\)
\(770\) 31.3152 1.75862i 1.12852 0.0633764i
\(771\) 6.37528 1.08320i 0.229600 0.0390107i
\(772\) 38.3101 + 53.9931i 1.37881 + 1.94325i
\(773\) −14.7831 14.7831i −0.531712 0.531712i 0.389370 0.921082i \(-0.372693\pi\)
−0.921082 + 0.389370i \(0.872693\pi\)
\(774\) 32.7839 + 25.0054i 1.17839 + 0.898799i
\(775\) −51.4197 + 21.2987i −1.84705 + 0.765074i
\(776\) 8.44360 5.99106i 0.303108 0.215066i
\(777\) −0.729146 + 1.02763i −0.0261580 + 0.0368662i
\(778\) 18.7111 + 38.8540i 0.670825 + 1.39298i
\(779\) −4.85237 + 1.39794i −0.173854 + 0.0500865i
\(780\) −11.2539 + 11.2539i −0.402955 + 0.402955i
\(781\) 47.0211 1.68255
\(782\) −56.9471 14.7584i −2.03642 0.527760i
\(783\) 1.99776 + 0.962072i 0.0713943 + 0.0343817i
\(784\) 1.45114 + 12.8792i 0.0518263 + 0.459971i
\(785\) −5.14726 + 4.59987i −0.183714 + 0.164176i
\(786\) −10.3610 + 2.36483i −0.369565 + 0.0843507i
\(787\) 6.63273 + 23.0227i 0.236431 + 0.820671i 0.987115 + 0.160010i \(0.0511526\pi\)
−0.750684 + 0.660661i \(0.770276\pi\)
\(788\) 24.2354 17.1960i 0.863352 0.612581i
\(789\) −0.669268 + 0.748912i −0.0238266 + 0.0266620i
\(790\) −66.8308 + 7.53002i −2.37773 + 0.267906i
\(791\) −5.45359 + 0.614472i −0.193907 + 0.0218481i
\(792\) 4.37162 + 25.7295i 0.155339 + 0.914258i
\(793\) 34.3140 + 30.6648i 1.21853 + 1.08894i
\(794\) 33.9355 + 37.9738i 1.20433 + 1.34764i
\(795\) −5.39138 1.23055i −0.191212 0.0436430i
\(796\) 26.8097 + 19.0225i 0.950245 + 0.674234i
\(797\) 18.4813 6.46687i 0.654640 0.229068i 0.0175358 0.999846i \(-0.494418\pi\)
0.637104 + 0.770778i \(0.280132\pi\)
\(798\) −0.956418 + 0.460586i −0.0338568 + 0.0163046i
\(799\) −18.2065 + 19.2140i −0.644100 + 0.679744i
\(800\) 43.5032 54.5513i 1.53807 1.92868i
\(801\) 0.773510 + 6.86509i 0.0273306 + 0.242566i
\(802\) 0.420229 + 7.48287i 0.0148388 + 0.264229i
\(803\) −8.37862 + 1.91236i −0.295675 + 0.0674859i
\(804\) −3.11284 10.8049i −0.109781 0.381059i
\(805\) −13.6867 + 9.71127i −0.482394 + 0.342277i
\(806\) 60.1948 + 3.38047i 2.12027 + 0.119072i
\(807\) 4.05843 0.457275i 0.142864 0.0160969i
\(808\) −6.78739 19.3972i −0.238779 0.682392i
\(809\) 5.19345 + 2.87032i 0.182592 + 0.100915i 0.572376 0.819991i \(-0.306022\pi\)
−0.389784 + 0.920906i \(0.627450\pi\)
\(810\) −25.2144 60.8728i −0.885942 2.13885i
\(811\) 22.3281 + 9.24859i 0.784044 + 0.324762i 0.738546 0.674203i \(-0.235513\pi\)
0.0454979 + 0.998964i \(0.485513\pi\)
\(812\) −1.63793 + 1.30621i −0.0574801 + 0.0458388i
\(813\) 0.360426 + 6.41797i 0.0126407 + 0.225088i
\(814\) −36.3603 57.8671i −1.27443 2.02824i
\(815\) −7.67198 33.6131i −0.268738 1.17742i
\(816\) 1.63525 + 2.17799i 0.0572452 + 0.0762450i
\(817\) −10.2256 9.79312i −0.357747 0.342618i
\(818\) 48.3286 48.3286i 1.68977 1.68977i
\(819\) 8.90810 + 1.51355i 0.311274 + 0.0528876i
\(820\) −23.5818 5.38240i −0.823513 0.187962i
\(821\) −9.45403 + 0.530927i −0.329948 + 0.0185295i −0.220274 0.975438i \(-0.570695\pi\)
−0.109674 + 0.993968i \(0.534981\pi\)
\(822\) −5.01077 + 9.06631i −0.174771 + 0.316224i
\(823\) 0.401454 0.166288i 0.0139938 0.00579643i −0.375676 0.926751i \(-0.622589\pi\)
0.389669 + 0.920955i \(0.372589\pi\)
\(824\) 6.89469 + 6.89469i 0.240188 + 0.240188i
\(825\) −1.94865 + 17.2947i −0.0678433 + 0.602126i
\(826\) 11.0700 + 0.621680i 0.385176 + 0.0216310i
\(827\) 33.0169 + 9.51200i 1.14811 + 0.330765i 0.796061 0.605217i \(-0.206914\pi\)
0.352049 + 0.935982i \(0.385485\pi\)
\(828\) −34.5428 38.6534i −1.20044 1.34330i
\(829\) 51.5562 11.7674i 1.79062 0.408698i 0.807236 0.590229i \(-0.200963\pi\)
0.983385 + 0.181531i \(0.0581054\pi\)
\(830\) −109.252 + 31.4749i −3.79218 + 1.09251i
\(831\) −3.80567 2.39126i −0.132017 0.0829519i
\(832\) −51.6155 + 24.8567i −1.78945 + 0.861752i
\(833\) −24.6041 11.0431i −0.852483 0.382620i
\(834\) 3.06721 3.84616i 0.106209 0.133182i
\(835\) 19.9001 + 31.6709i 0.688672 + 1.09602i
\(836\) −1.86542 33.2169i −0.0645169 1.14883i
\(837\) 5.11119 10.6135i 0.176668 0.366856i
\(838\) −30.5133 + 43.0045i −1.05407 + 1.48557i
\(839\) −20.1012 + 3.41533i −0.693971 + 0.117910i −0.503774 0.863836i \(-0.668056\pi\)
−0.190197 + 0.981746i \(0.560913\pi\)
\(840\) −1.36757 0.0768012i −0.0471857 0.00264989i
\(841\) 26.1685 + 9.15674i 0.902360 + 0.315750i
\(842\) −38.5810 + 24.2420i −1.32959 + 0.835435i
\(843\) −1.92284 + 6.67433i −0.0662262 + 0.229876i
\(844\) 9.75367 + 2.80998i 0.335735 + 0.0967236i
\(845\) −31.3417 + 1.76011i −1.07819 + 0.0605496i
\(846\) −39.3548 + 8.98247i −1.35305 + 0.308824i
\(847\) −13.4672 + 3.87985i −0.462740 + 0.133313i
\(848\) −7.36637 4.62860i −0.252962 0.158947i
\(849\) −4.49097 2.16274i −0.154130 0.0742249i
\(850\) 29.5957 + 77.7965i 1.01512 + 2.66840i
\(851\) 32.9462 + 15.8660i 1.12938 + 0.543881i
\(852\) −7.57511 0.853510i −0.259519 0.0292408i
\(853\) 17.3554 41.8996i 0.594237 1.43461i −0.285139 0.958486i \(-0.592040\pi\)
0.879376 0.476129i \(-0.157960\pi\)
\(854\) 14.7027i 0.503116i
\(855\) 6.52419 + 22.6459i 0.223122 + 0.774475i
\(856\) 4.84362 + 4.32852i 0.165551 + 0.147946i
\(857\) 0.467726 + 2.75284i 0.0159772 + 0.0940351i 0.992738 0.120298i \(-0.0383850\pi\)
−0.976761 + 0.214333i \(0.931242\pi\)
\(858\) 10.0304 15.9633i 0.342433 0.544980i
\(859\) 4.57025 + 4.57025i 0.155935 + 0.155935i 0.780763 0.624828i \(-0.214831\pi\)
−0.624828 + 0.780763i \(0.714831\pi\)
\(860\) −20.1781 64.7489i −0.688069 2.20792i
\(861\) −0.202162 0.488063i −0.00688968 0.0166331i
\(862\) −14.0413 + 82.6411i −0.478248 + 2.81477i
\(863\) 27.6098 + 6.30175i 0.939847 + 0.214514i 0.664889 0.746942i \(-0.268479\pi\)
0.274958 + 0.961456i \(0.411336\pi\)
\(864\) 0.828057 + 14.7449i 0.0281711 + 0.501633i
\(865\) −62.7949 7.07528i −2.13509 0.240567i
\(866\) −79.3333 −2.69585
\(867\) −5.63297 + 0.621774i −0.191306 + 0.0211166i
\(868\) 6.93946 + 8.70181i 0.235541 + 0.295359i
\(869\) 43.4505 15.2040i 1.47396 0.515760i
\(870\) −1.49780 2.71006i −0.0507802 0.0918798i
\(871\) 24.6790 51.2466i 0.836218 1.73642i
\(872\) 0.532879 3.13630i 0.0180456 0.106209i
\(873\) 9.01421 16.3100i 0.305085 0.552010i
\(874\) 17.8272 + 25.1250i 0.603013 + 0.849867i
\(875\) 10.3302 + 3.61471i 0.349226 + 0.122199i
\(876\) 1.38451 0.155997i 0.0467783 0.00527065i
\(877\) −5.88368 + 20.4227i −0.198678 + 0.689626i 0.797581 + 0.603211i \(0.206112\pi\)
−0.996259 + 0.0864148i \(0.972459\pi\)
\(878\) 23.4811 3.98960i 0.792450 0.134643i
\(879\) 4.59203 0.257883i 0.154885 0.00869818i
\(880\) −18.2841 + 37.9672i −0.616355 + 1.27988i
\(881\) −24.1068 17.1047i −0.812179 0.576272i 0.0957451 0.995406i \(-0.469477\pi\)
−0.907924 + 0.419134i \(0.862334\pi\)
\(882\) −21.8812 34.8237i −0.736779 1.17258i
\(883\) −40.2172 19.3676i −1.35342 0.651771i −0.390258 0.920705i \(-0.627614\pi\)
−0.963159 + 0.268934i \(0.913329\pi\)
\(884\) 4.43777 51.9104i 0.149258 1.74594i
\(885\) −2.10707 + 9.23169i −0.0708285 + 0.310320i
\(886\) −0.712583 6.32435i −0.0239397 0.212471i
\(887\) 21.5784 + 39.0432i 0.724532 + 1.31094i 0.942244 + 0.334928i \(0.108712\pi\)
−0.217712 + 0.976013i \(0.569859\pi\)
\(888\) 1.29497 + 2.68902i 0.0434562 + 0.0902377i
\(889\) 1.68757 9.93230i 0.0565991 0.333119i
\(890\) 9.51281 17.2121i 0.318870 0.576952i
\(891\) 26.0976 + 36.7811i 0.874303 + 1.23221i
\(892\) 18.8102 + 53.7566i 0.629813 + 1.79990i
\(893\) 13.7745 1.55202i 0.460947 0.0519362i
\(894\) 1.03498 + 0.0581230i 0.0346148 + 0.00194392i
\(895\) −21.4027 + 38.7253i −0.715415 + 1.29445i
\(896\) −7.49140 3.10304i −0.250270 0.103665i
\(897\) 10.0876i 0.336814i
\(898\) 33.1425 9.54820i 1.10598 0.318627i
\(899\) −2.23853 + 6.39735i −0.0746592 + 0.213364i
\(900\) −16.3212 + 71.5077i −0.544039 + 2.38359i
\(901\) 16.0927 8.29062i 0.536125 0.276201i
\(902\) 28.6529 0.954037
\(903\) 0.898289 1.17773i 0.0298932 0.0391923i
\(904\) −4.97467 + 12.0099i −0.165455 + 0.399443i
\(905\) −45.2019 + 10.3170i −1.50256 + 0.342950i
\(906\) −9.75257 + 13.7450i −0.324008 + 0.456646i
\(907\) −21.8163 19.4962i −0.724398 0.647361i 0.220252 0.975443i \(-0.429312\pi\)
−0.944649 + 0.328082i \(0.893598\pi\)
\(908\) −15.9694 8.82599i −0.529964 0.292901i
\(909\) −26.1559 26.1559i −0.867537 0.867537i
\(910\) −18.1878 18.1878i −0.602920 0.602920i
\(911\) −9.96556 5.50777i −0.330174 0.182481i 0.309949 0.950753i \(-0.399688\pi\)
−0.640123 + 0.768273i \(0.721117\pi\)
\(912\) 0.0799709 1.42401i 0.00264810 0.0471538i
\(913\) 68.1117 37.6440i 2.25417 1.24583i
\(914\) 28.8989 60.0091i 0.955890 1.98493i
\(915\) −12.3792 2.10331i −0.409244 0.0695333i
\(916\) −39.4434 4.44421i −1.30325 0.146841i
\(917\) −2.20838 9.67556i −0.0729272 0.319515i
\(918\) −15.6430 8.10382i −0.516297 0.267466i
\(919\) −18.6875 + 23.4334i −0.616445 + 0.772998i −0.987839 0.155478i \(-0.950308\pi\)
0.371394 + 0.928475i \(0.378880\pi\)
\(920\) 4.45068 + 39.5009i 0.146735 + 1.30231i
\(921\) −1.10806 0.786207i −0.0365117 0.0259064i
\(922\) 32.4418 + 67.3661i 1.06841 + 2.21858i
\(923\) −25.6950 28.7528i −0.845762 0.946408i
\(924\) 3.43127 0.582997i 0.112881 0.0191792i
\(925\) −8.66661 51.0080i −0.284956 1.67713i
\(926\) 10.2825 + 29.3857i 0.337904 + 0.965673i
\(927\) 16.5657 + 5.79661i 0.544091 + 0.190386i
\(928\) −1.42328 8.37684i −0.0467215 0.274983i
\(929\) 13.9445 + 4.01735i 0.457505 + 0.131805i 0.497629 0.867390i \(-0.334204\pi\)
−0.0401245 + 0.999195i \(0.512775\pi\)
\(930\) −14.3977 + 7.95734i −0.472120 + 0.260931i
\(931\) 6.12770 + 12.7243i 0.200827 + 0.417022i
\(932\) 54.1904 + 9.20732i 1.77507 + 0.301596i
\(933\) 4.38167 + 0.493696i 0.143449 + 0.0161629i
\(934\) 15.9324 + 69.8046i 0.521325 + 2.28408i
\(935\) −48.6334 72.9636i −1.59048 2.38617i
\(936\) 13.3443 16.7333i 0.436173 0.546944i
\(937\) 50.5100 17.6742i 1.65009 0.577392i 0.664611 0.747189i \(-0.268597\pi\)
0.985479 + 0.169798i \(0.0543114\pi\)
\(938\) 17.4621 5.03075i 0.570159 0.164260i
\(939\) 6.44605i 0.210359i
\(940\) 61.3434 + 25.4093i 2.00080 + 0.828760i
\(941\) 1.32181 2.39164i 0.0430898 0.0779652i −0.852810 0.522221i \(-0.825103\pi\)
0.895900 + 0.444256i \(0.146532\pi\)
\(942\) −0.883374 + 0.988496i −0.0287819 + 0.0322069i
\(943\) −12.9812 + 8.15663i −0.422726 + 0.265617i
\(944\) −7.92557 + 12.6135i −0.257955 + 0.410534i
\(945\) −4.64319 + 1.92327i −0.151043 + 0.0625641i
\(946\) 40.3706 + 69.4582i 1.31256 + 2.25828i
\(947\) 46.0585 + 19.0781i 1.49670 + 0.619954i 0.972763 0.231803i \(-0.0744623\pi\)
0.523938 + 0.851756i \(0.324462\pi\)
\(948\) −7.27587 + 1.66067i −0.236309 + 0.0539360i
\(949\) 5.74795 + 4.07839i 0.186586 + 0.132390i
\(950\) 14.3964 41.1426i 0.467082 1.33484i
\(951\) 4.01819 + 5.03865i 0.130299 + 0.163389i
\(952\) 3.58569 2.69216i 0.116213 0.0872534i
\(953\) 26.8969 0.871274 0.435637 0.900122i \(-0.356523\pi\)
0.435637 + 0.900122i \(0.356523\pi\)
\(954\) 27.4333 + 3.09099i 0.888185 + 0.100074i
\(955\) −32.4977 + 29.0417i −1.05160 + 0.939767i
\(956\) −34.7508 27.7128i −1.12392 0.896296i
\(957\) 1.41228 + 1.58034i 0.0456526 + 0.0510853i
\(958\) 19.9235 14.1365i 0.643699 0.456729i
\(959\) −8.46652 4.67928i −0.273398 0.151102i
\(960\) 8.31649 13.2356i 0.268414 0.427178i
\(961\) 4.72674 + 1.65396i 0.152476 + 0.0533535i
\(962\) −15.5156 + 53.8558i −0.500243 + 1.73638i
\(963\) 11.2354 + 3.23686i 0.362056 + 0.104307i
\(964\) 30.1849 42.5416i 0.972190 1.37017i
\(965\) −39.6468 82.3273i −1.27627 2.65021i
\(966\) −2.40311 + 2.14755i −0.0773188 + 0.0690963i
\(967\) 21.9731 + 34.9700i 0.706607 + 1.12456i 0.986378 + 0.164492i \(0.0525983\pi\)
−0.279772 + 0.960067i \(0.590259\pi\)
\(968\) −7.38697 + 32.3644i −0.237426 + 1.04023i
\(969\) 2.46575 + 1.65160i 0.0792112 + 0.0530570i
\(970\) −47.7942 + 23.0165i −1.53458 + 0.739014i
\(971\) −14.8694 23.6646i −0.477183 0.759433i 0.518216 0.855250i \(-0.326596\pi\)
−0.995399 + 0.0958171i \(0.969454\pi\)
\(972\) −11.3350 20.5092i −0.363571 0.657831i
\(973\) 3.59171 + 2.86429i 0.115145 + 0.0918250i
\(974\) 39.1832 2.20048i 1.25551 0.0705080i
\(975\) 11.6404 8.25928i 0.372790 0.264509i
\(976\) −17.2892 9.55542i −0.553415 0.305862i
\(977\) −10.9489 + 17.4251i −0.350287 + 0.557479i −0.974672 0.223638i \(-0.928207\pi\)
0.624385 + 0.781116i \(0.285350\pi\)
\(978\) −2.18684 6.24962i −0.0699274 0.199841i
\(979\) −3.72648 + 12.9349i −0.119099 + 0.413401i
\(980\) −3.79311 + 67.5426i −0.121166 + 2.15757i
\(981\) −1.58520 5.50234i −0.0506114 0.175676i
\(982\) 36.4319i 1.16259i
\(983\) −6.04837 + 14.6021i −0.192913 + 0.465734i −0.990507 0.137461i \(-0.956106\pi\)
0.797594 + 0.603195i \(0.206106\pi\)
\(984\) −1.24344 0.140102i −0.0396393 0.00446628i
\(985\) −36.9536 + 17.7959i −1.17744 + 0.567025i
\(986\) 9.46570 + 3.62553i 0.301449 + 0.115460i
\(987\) 0.322685 + 1.41378i 0.0102712 + 0.0450010i
\(988\) −19.2923 + 19.2923i −0.613770 + 0.613770i
\(989\) −38.0627 19.9758i −1.21032 0.635192i
\(990\) 133.723i 4.24998i
\(991\) −1.00543 + 5.91756i −0.0319387 + 0.187977i −0.997350 0.0727545i \(-0.976821\pi\)
0.965411 + 0.260732i \(0.0839639\pi\)
\(992\) −44.5035 + 7.56145i −1.41299 + 0.240076i
\(993\) −2.07650 + 2.32361i −0.0658958 + 0.0737375i
\(994\) 1.37938 12.2424i 0.0437514 0.388305i
\(995\) −32.0829 32.0829i −1.01710 1.01710i
\(996\) −11.6561 + 4.82812i −0.369338 + 0.152985i
\(997\) −6.54735 + 11.8465i −0.207357 + 0.375184i −0.958562 0.284885i \(-0.908044\pi\)
0.751205 + 0.660069i \(0.229473\pi\)
\(998\) −1.49568 1.67367i −0.0473450 0.0529790i
\(999\) 8.56181 + 6.82781i 0.270884 + 0.216022i
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 731.2.be.a.59.9 1536
17.15 even 8 inner 731.2.be.a.661.56 yes 1536
43.35 even 7 inner 731.2.be.a.637.56 yes 1536
731.508 even 56 inner 731.2.be.a.508.9 yes 1536
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
731.2.be.a.59.9 1536 1.1 even 1 trivial
731.2.be.a.508.9 yes 1536 731.508 even 56 inner
731.2.be.a.637.56 yes 1536 43.35 even 7 inner
731.2.be.a.661.56 yes 1536 17.15 even 8 inner