Properties

Label 756.2.cf.a.155.2
Level $756$
Weight $2$
Character 756.155
Analytic conductor $6.037$
Analytic rank $0$
Dimension $648$
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] = [756,2,Mod(155,756)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(756, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([9, 7, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("756.155");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 756 = 2^{2} \cdot 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 756.cf (of order \(18\), degree \(6\), 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: \(6.03669039281\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(108\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 155.2
Character \(\chi\) \(=\) 756.155
Dual form 756.2.cf.a.239.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.41412 - 0.0164052i) q^{2} +(0.147426 + 1.72577i) q^{3} +(1.99946 + 0.0463977i) q^{4} +(-3.09496 + 0.545724i) q^{5} +(-0.180167 - 2.44285i) q^{6} +(0.642788 - 0.766044i) q^{7} +(-2.82671 - 0.0984134i) q^{8} +(-2.95653 + 0.508847i) q^{9} +O(q^{10})\) \(q+(-1.41412 - 0.0164052i) q^{2} +(0.147426 + 1.72577i) q^{3} +(1.99946 + 0.0463977i) q^{4} +(-3.09496 + 0.545724i) q^{5} +(-0.180167 - 2.44285i) q^{6} +(0.642788 - 0.766044i) q^{7} +(-2.82671 - 0.0984134i) q^{8} +(-2.95653 + 0.508847i) q^{9} +(4.38559 - 0.720946i) q^{10} +(0.881478 - 4.99911i) q^{11} +(0.214702 + 3.45744i) q^{12} +(-0.371483 - 0.135209i) q^{13} +(-0.921545 + 1.07273i) q^{14} +(-1.39807 - 5.26071i) q^{15} +(3.99569 + 0.185541i) q^{16} +(3.65557 - 2.11055i) q^{17} +(4.18923 - 0.671067i) q^{18} +(3.95341 + 2.28250i) q^{19} +(-6.21357 + 0.947556i) q^{20} +(1.41678 + 0.996365i) q^{21} +(-1.32853 + 7.05487i) q^{22} +(1.71110 - 1.43578i) q^{23} +(-0.246894 - 4.89275i) q^{24} +(4.58248 - 1.66789i) q^{25} +(0.523102 + 0.197295i) q^{26} +(-1.31402 - 5.02726i) q^{27} +(1.32077 - 1.50185i) q^{28} +(0.798106 + 2.19278i) q^{29} +(1.89073 + 7.46221i) q^{30} +(6.38089 + 7.60445i) q^{31} +(-5.64734 - 0.327927i) q^{32} +(8.75724 + 0.784223i) q^{33} +(-5.20404 + 2.92459i) q^{34} +(-1.57135 + 2.72166i) q^{35} +(-5.93508 + 0.880243i) q^{36} +(-2.81640 - 4.87815i) q^{37} +(-5.55314 - 3.29258i) q^{38} +(0.178572 - 0.661025i) q^{39} +(8.80227 - 1.23802i) q^{40} +(-0.801612 + 2.20241i) q^{41} +(-1.98714 - 1.43222i) q^{42} +(-0.945108 - 0.166648i) q^{43} +(1.99443 - 9.95463i) q^{44} +(8.87265 - 3.18831i) q^{45} +(-2.44325 + 2.00229i) q^{46} +(1.77248 + 1.48729i) q^{47} +(0.268871 + 6.92298i) q^{48} +(-0.173648 - 0.984808i) q^{49} +(-6.50753 + 2.28341i) q^{50} +(4.18124 + 5.99751i) q^{51} +(-0.736492 - 0.287580i) q^{52} +5.41162i q^{53} +(1.77571 + 7.13070i) q^{54} +15.9531i q^{55} +(-1.89237 + 2.10213i) q^{56} +(-3.35622 + 7.15915i) q^{57} +(-1.09264 - 3.11394i) q^{58} +(0.521825 + 2.95942i) q^{59} +(-2.55130 - 10.5835i) q^{60} +(-8.35826 - 7.01341i) q^{61} +(-8.89858 - 10.8583i) q^{62} +(-1.51062 + 2.59191i) q^{63} +(7.98063 + 0.556373i) q^{64} +(1.22351 + 0.215738i) q^{65} +(-12.3709 - 1.25265i) q^{66} +(5.23878 - 14.3934i) q^{67} +(7.40710 - 4.05035i) q^{68} +(2.73008 + 2.74128i) q^{69} +(2.26673 - 3.82297i) q^{70} +(6.57003 + 11.3796i) q^{71} +(8.40735 - 1.14740i) q^{72} +(0.741893 - 1.28500i) q^{73} +(3.90270 + 6.94448i) q^{74} +(3.55396 + 7.66239i) q^{75} +(7.79878 + 4.74720i) q^{76} +(-3.26294 - 3.88862i) q^{77} +(-0.263366 + 0.931838i) q^{78} +(0.0581453 + 0.159753i) q^{79} +(-12.4678 + 1.60631i) q^{80} +(8.48215 - 3.00884i) q^{81} +(1.16971 - 3.10132i) q^{82} +(10.4128 - 3.78994i) q^{83} +(2.78656 + 2.05793i) q^{84} +(-10.1621 + 8.52698i) q^{85} +(1.33376 + 0.251165i) q^{86} +(-3.66656 + 1.70062i) q^{87} +(-2.98366 + 14.0443i) q^{88} +(13.2487 + 7.64915i) q^{89} +(-12.5993 + 4.36309i) q^{90} +(-0.342360 + 0.197662i) q^{91} +(3.48789 - 2.79140i) q^{92} +(-12.1828 + 12.1330i) q^{93} +(-2.48210 - 2.13228i) q^{94} +(-13.4812 - 4.90677i) q^{95} +(-0.266642 - 9.79433i) q^{96} +(2.82765 - 16.0364i) q^{97} +(0.229403 + 1.39548i) q^{98} +(-0.0623368 + 15.2286i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q+O(q^{10}) \) Copy content Toggle raw display \( 648 q + 18 q^{12} + 42 q^{18} + 42 q^{20} - 48 q^{30} - 30 q^{32} + 60 q^{33} + 60 q^{41} - 30 q^{42} - 144 q^{44} - 18 q^{48} - 156 q^{50} + 54 q^{52} - 12 q^{57} + 54 q^{58} - 186 q^{60} - 24 q^{65} - 186 q^{66} - 78 q^{68} - 42 q^{72} - 24 q^{81} - 30 q^{86} - 36 q^{89} + 198 q^{90} + 114 q^{92} - 144 q^{93} - 54 q^{94} + 156 q^{96} + 36 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/756\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(325\) \(379\)
\(\chi(n)\) \(e\left(\frac{7}{18}\right)\) \(1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.41412 0.0164052i −0.999933 0.0116002i
\(3\) 0.147426 + 1.72577i 0.0851167 + 0.996371i
\(4\) 1.99946 + 0.0463977i 0.999731 + 0.0231989i
\(5\) −3.09496 + 0.545724i −1.38411 + 0.244055i −0.815597 0.578621i \(-0.803591\pi\)
−0.568510 + 0.822676i \(0.692480\pi\)
\(6\) −0.180167 2.44285i −0.0735528 0.997291i
\(7\) 0.642788 0.766044i 0.242951 0.289538i
\(8\) −2.82671 0.0984134i −0.999394 0.0347944i
\(9\) −2.95653 + 0.508847i −0.985510 + 0.169616i
\(10\) 4.38559 0.720946i 1.38684 0.227983i
\(11\) 0.881478 4.99911i 0.265776 1.50729i −0.501042 0.865423i \(-0.667050\pi\)
0.766818 0.641865i \(-0.221839\pi\)
\(12\) 0.214702 + 3.45744i 0.0619791 + 0.998077i
\(13\) −0.371483 0.135209i −0.103031 0.0375001i 0.289990 0.957030i \(-0.406348\pi\)
−0.393021 + 0.919529i \(0.628570\pi\)
\(14\) −0.921545 + 1.07273i −0.246293 + 0.286700i
\(15\) −1.39807 5.26071i −0.360980 1.35831i
\(16\) 3.99569 + 0.185541i 0.998924 + 0.0463852i
\(17\) 3.65557 2.11055i 0.886607 0.511883i 0.0137757 0.999905i \(-0.495615\pi\)
0.872831 + 0.488022i \(0.162282\pi\)
\(18\) 4.18923 0.671067i 0.987412 0.158172i
\(19\) 3.95341 + 2.28250i 0.906974 + 0.523642i 0.879456 0.475980i \(-0.157906\pi\)
0.0275175 + 0.999621i \(0.491240\pi\)
\(20\) −6.21357 + 0.947556i −1.38940 + 0.211880i
\(21\) 1.41678 + 0.996365i 0.309166 + 0.217425i
\(22\) −1.32853 + 7.05487i −0.283242 + 1.50410i
\(23\) 1.71110 1.43578i 0.356788 0.299381i −0.446721 0.894673i \(-0.647408\pi\)
0.803509 + 0.595293i \(0.202964\pi\)
\(24\) −0.246894 4.89275i −0.0503970 0.998729i
\(25\) 4.58248 1.66789i 0.916496 0.333577i
\(26\) 0.523102 + 0.197295i 0.102589 + 0.0386928i
\(27\) −1.31402 5.02726i −0.252883 0.967497i
\(28\) 1.32077 1.50185i 0.249602 0.283823i
\(29\) 0.798106 + 2.19278i 0.148205 + 0.407189i 0.991474 0.130302i \(-0.0415946\pi\)
−0.843270 + 0.537491i \(0.819372\pi\)
\(30\) 1.89073 + 7.46221i 0.345199 + 1.36241i
\(31\) 6.38089 + 7.60445i 1.14604 + 1.36580i 0.920112 + 0.391655i \(0.128097\pi\)
0.225930 + 0.974144i \(0.427458\pi\)
\(32\) −5.64734 0.327927i −0.998318 0.0579698i
\(33\) 8.75724 + 0.784223i 1.52444 + 0.136516i
\(34\) −5.20404 + 2.92459i −0.892485 + 0.501563i
\(35\) −1.57135 + 2.72166i −0.265607 + 0.460044i
\(36\) −5.93508 + 0.880243i −0.989180 + 0.146707i
\(37\) −2.81640 4.87815i −0.463013 0.801962i 0.536096 0.844157i \(-0.319898\pi\)
−0.999109 + 0.0421945i \(0.986565\pi\)
\(38\) −5.55314 3.29258i −0.900838 0.534127i
\(39\) 0.178572 0.661025i 0.0285944 0.105849i
\(40\) 8.80227 1.23802i 1.39176 0.195748i
\(41\) −0.801612 + 2.20241i −0.125191 + 0.343959i −0.986416 0.164264i \(-0.947475\pi\)
0.861226 + 0.508223i \(0.169697\pi\)
\(42\) −1.98714 1.43222i −0.306623 0.220996i
\(43\) −0.945108 0.166648i −0.144128 0.0254136i 0.101119 0.994874i \(-0.467758\pi\)
−0.245246 + 0.969461i \(0.578869\pi\)
\(44\) 1.99443 9.95463i 0.300671 1.50072i
\(45\) 8.87265 3.18831i 1.32266 0.475285i
\(46\) −2.44325 + 2.00229i −0.360237 + 0.295222i
\(47\) 1.77248 + 1.48729i 0.258543 + 0.216943i 0.762841 0.646587i \(-0.223804\pi\)
−0.504298 + 0.863530i \(0.668249\pi\)
\(48\) 0.268871 + 6.92298i 0.0388082 + 0.999247i
\(49\) −0.173648 0.984808i −0.0248069 0.140687i
\(50\) −6.50753 + 2.28341i −0.920304 + 0.322923i
\(51\) 4.18124 + 5.99751i 0.585490 + 0.839819i
\(52\) −0.736492 0.287580i −0.102133 0.0398802i
\(53\) 5.41162i 0.743344i 0.928364 + 0.371672i \(0.121215\pi\)
−0.928364 + 0.371672i \(0.878785\pi\)
\(54\) 1.77571 + 7.13070i 0.241643 + 0.970365i
\(55\) 15.9531i 2.15111i
\(56\) −1.89237 + 2.10213i −0.252878 + 0.280909i
\(57\) −3.35622 + 7.15915i −0.444543 + 0.948253i
\(58\) −1.09264 3.11394i −0.143471 0.408881i
\(59\) 0.521825 + 2.95942i 0.0679359 + 0.385283i 0.999750 + 0.0223482i \(0.00711426\pi\)
−0.931814 + 0.362935i \(0.881775\pi\)
\(60\) −2.55130 10.5835i −0.329372 1.36632i
\(61\) −8.35826 7.01341i −1.07016 0.897975i −0.0750976 0.997176i \(-0.523927\pi\)
−0.995067 + 0.0992011i \(0.968371\pi\)
\(62\) −8.89858 10.8583i −1.13012 1.37900i
\(63\) −1.51062 + 2.59191i −0.190321 + 0.326551i
\(64\) 7.98063 + 0.556373i 0.997579 + 0.0695466i
\(65\) 1.22351 + 0.215738i 0.151758 + 0.0267590i
\(66\) −12.3709 1.25265i −1.52275 0.154190i
\(67\) 5.23878 14.3934i 0.640018 1.75844i −0.0116498 0.999932i \(-0.503708\pi\)
0.651668 0.758504i \(-0.274069\pi\)
\(68\) 7.40710 4.05035i 0.898243 0.491177i
\(69\) 2.73008 + 2.74128i 0.328663 + 0.330011i
\(70\) 2.26673 3.82297i 0.270925 0.456932i
\(71\) 6.57003 + 11.3796i 0.779719 + 1.35051i 0.932104 + 0.362191i \(0.117971\pi\)
−0.152385 + 0.988321i \(0.548695\pi\)
\(72\) 8.40735 1.14740i 0.990815 0.135223i
\(73\) 0.741893 1.28500i 0.0868320 0.150397i −0.819338 0.573310i \(-0.805659\pi\)
0.906170 + 0.422913i \(0.138992\pi\)
\(74\) 3.90270 + 6.94448i 0.453679 + 0.807279i
\(75\) 3.55396 + 7.66239i 0.410376 + 0.884777i
\(76\) 7.79878 + 4.74720i 0.894582 + 0.544541i
\(77\) −3.26294 3.88862i −0.371846 0.443149i
\(78\) −0.263366 + 0.931838i −0.0298204 + 0.105510i
\(79\) 0.0581453 + 0.159753i 0.00654185 + 0.0179736i 0.942921 0.333018i \(-0.108067\pi\)
−0.936379 + 0.350991i \(0.885845\pi\)
\(80\) −12.4678 + 1.60631i −1.39394 + 0.179591i
\(81\) 8.48215 3.00884i 0.942461 0.334316i
\(82\) 1.16971 3.10132i 0.129172 0.342483i
\(83\) 10.4128 3.78994i 1.14295 0.416000i 0.299973 0.953948i \(-0.403022\pi\)
0.842978 + 0.537947i \(0.180800\pi\)
\(84\) 2.78656 + 2.05793i 0.304039 + 0.224539i
\(85\) −10.1621 + 8.52698i −1.10223 + 0.924881i
\(86\) 1.33376 + 0.251165i 0.143823 + 0.0270838i
\(87\) −3.66656 + 1.70062i −0.393097 + 0.182325i
\(88\) −2.98366 + 14.0443i −0.318060 + 1.49713i
\(89\) 13.2487 + 7.64915i 1.40436 + 0.810808i 0.994836 0.101491i \(-0.0323613\pi\)
0.409524 + 0.912299i \(0.365695\pi\)
\(90\) −12.5993 + 4.36309i −1.32808 + 0.459910i
\(91\) −0.342360 + 0.197662i −0.0358891 + 0.0207206i
\(92\) 3.48789 2.79140i 0.363637 0.291023i
\(93\) −12.1828 + 12.1330i −1.26330 + 1.25813i
\(94\) −2.48210 2.13228i −0.256009 0.219928i
\(95\) −13.4812 4.90677i −1.38315 0.503424i
\(96\) −0.266642 9.79433i −0.0272141 0.999630i
\(97\) 2.82765 16.0364i 0.287104 1.62825i −0.410566 0.911831i \(-0.634669\pi\)
0.697670 0.716419i \(-0.254220\pi\)
\(98\) 0.229403 + 1.39548i 0.0231732 + 0.140965i
\(99\) −0.0623368 + 15.2286i −0.00626509 + 1.53053i
\(100\) 9.23988 3.12226i 0.923988 0.312226i
\(101\) 7.55873 9.00814i 0.752121 0.896343i −0.245201 0.969472i \(-0.578854\pi\)
0.997322 + 0.0731289i \(0.0232985\pi\)
\(102\) −5.81437 8.54978i −0.575709 0.846555i
\(103\) 14.9084 2.62876i 1.46897 0.259019i 0.618809 0.785542i \(-0.287616\pi\)
0.850161 + 0.526523i \(0.176505\pi\)
\(104\) 1.03677 + 0.418755i 0.101664 + 0.0410623i
\(105\) −4.92860 2.31054i −0.480982 0.225485i
\(106\) 0.0887786 7.65268i 0.00862294 0.743294i
\(107\) 0.146669 0.0141790 0.00708952 0.999975i \(-0.497743\pi\)
0.00708952 + 0.999975i \(0.497743\pi\)
\(108\) −2.39408 10.1128i −0.230370 0.973103i
\(109\) 14.3441 1.37391 0.686956 0.726699i \(-0.258947\pi\)
0.686956 + 0.726699i \(0.258947\pi\)
\(110\) 0.261713 22.5595i 0.0249533 2.15097i
\(111\) 8.00332 5.57961i 0.759642 0.529593i
\(112\) 2.71052 2.94162i 0.256120 0.277957i
\(113\) −1.17779 + 0.207677i −0.110798 + 0.0195366i −0.228772 0.973480i \(-0.573471\pi\)
0.117974 + 0.993017i \(0.462360\pi\)
\(114\) 4.86354 10.0688i 0.455513 0.943032i
\(115\) −4.51223 + 5.37746i −0.420767 + 0.501451i
\(116\) 1.49404 + 4.42141i 0.138718 + 0.410518i
\(117\) 1.16710 + 0.210721i 0.107898 + 0.0194811i
\(118\) −0.689373 4.19353i −0.0634619 0.386046i
\(119\) 0.732985 4.15696i 0.0671926 0.381068i
\(120\) 3.43422 + 15.0081i 0.313500 + 1.37005i
\(121\) −13.8775 5.05098i −1.26159 0.459180i
\(122\) 11.7045 + 10.0549i 1.05968 + 0.910329i
\(123\) −3.91902 1.05870i −0.353366 0.0954598i
\(124\) 12.4055 + 15.5009i 1.11405 + 1.39202i
\(125\) 0.335928 0.193948i 0.0300463 0.0173473i
\(126\) 2.17872 3.64049i 0.194096 0.324321i
\(127\) −10.2761 5.93289i −0.911854 0.526459i −0.0308267 0.999525i \(-0.509814\pi\)
−0.881027 + 0.473066i \(0.843147\pi\)
\(128\) −11.2764 0.917701i −0.996705 0.0811141i
\(129\) 0.148262 1.65560i 0.0130537 0.145768i
\(130\) −1.72665 0.325151i −0.151437 0.0285176i
\(131\) 9.63366 8.08360i 0.841697 0.706267i −0.116248 0.993220i \(-0.537087\pi\)
0.957945 + 0.286953i \(0.0926423\pi\)
\(132\) 17.4734 + 1.97434i 1.52086 + 0.171844i
\(133\) 4.28970 1.56132i 0.371964 0.135384i
\(134\) −7.64438 + 20.2681i −0.660374 + 1.75089i
\(135\) 6.81033 + 14.8421i 0.586140 + 1.27740i
\(136\) −10.5410 + 5.60615i −0.903881 + 0.480724i
\(137\) −0.0834772 0.229352i −0.00713194 0.0195948i 0.936076 0.351799i \(-0.114430\pi\)
−0.943208 + 0.332204i \(0.892208\pi\)
\(138\) −3.81568 3.92128i −0.324813 0.333801i
\(139\) −2.99326 3.56723i −0.253885 0.302569i 0.624015 0.781412i \(-0.285500\pi\)
−0.877900 + 0.478844i \(0.841056\pi\)
\(140\) −3.26813 + 5.36895i −0.276208 + 0.453759i
\(141\) −2.30540 + 3.27815i −0.194150 + 0.276070i
\(142\) −9.10411 16.1999i −0.764000 1.35947i
\(143\) −1.00338 + 1.73790i −0.0839066 + 0.145330i
\(144\) −11.9078 + 1.48464i −0.992317 + 0.123720i
\(145\) −3.66676 6.35101i −0.304508 0.527423i
\(146\) −1.07020 + 1.80497i −0.0885708 + 0.149380i
\(147\) 1.67395 0.444863i 0.138065 0.0366916i
\(148\) −5.40495 9.88434i −0.444284 0.812488i
\(149\) 2.20287 6.05235i 0.180467 0.495828i −0.816167 0.577816i \(-0.803905\pi\)
0.996633 + 0.0819888i \(0.0261272\pi\)
\(150\) −4.90001 10.8938i −0.400084 0.889478i
\(151\) 18.2616 + 3.22001i 1.48611 + 0.262041i 0.857016 0.515290i \(-0.172316\pi\)
0.629092 + 0.777331i \(0.283427\pi\)
\(152\) −10.9505 6.84105i −0.888205 0.554882i
\(153\) −9.73387 + 8.10002i −0.786937 + 0.654848i
\(154\) 4.55038 + 5.55249i 0.366680 + 0.447433i
\(155\) −23.8985 20.0532i −1.91957 1.61071i
\(156\) 0.387718 1.31341i 0.0310423 0.105157i
\(157\) 1.11503 + 6.32364i 0.0889890 + 0.504682i 0.996424 + 0.0844899i \(0.0269261\pi\)
−0.907435 + 0.420192i \(0.861963\pi\)
\(158\) −0.0796035 0.226863i −0.00633292 0.0180483i
\(159\) −9.33919 + 0.797816i −0.740646 + 0.0632709i
\(160\) 17.6572 2.06697i 1.39593 0.163409i
\(161\) 2.23368i 0.176038i
\(162\) −12.0441 + 4.11571i −0.946276 + 0.323360i
\(163\) 21.6027i 1.69205i 0.533140 + 0.846027i \(0.321012\pi\)
−0.533140 + 0.846027i \(0.678988\pi\)
\(164\) −1.70498 + 4.36644i −0.133137 + 0.340962i
\(165\) −27.5312 + 2.35190i −2.14330 + 0.183095i
\(166\) −14.7871 + 5.18860i −1.14770 + 0.402714i
\(167\) 0.960537 + 5.44748i 0.0743286 + 0.421538i 0.999153 + 0.0411446i \(0.0131004\pi\)
−0.924825 + 0.380394i \(0.875788\pi\)
\(168\) −3.90677 2.95587i −0.301414 0.228050i
\(169\) −9.83886 8.25578i −0.756835 0.635060i
\(170\) 14.5102 11.8915i 1.11289 0.912033i
\(171\) −12.8498 4.73661i −0.982650 0.362217i
\(172\) −1.88198 0.377057i −0.143499 0.0287504i
\(173\) −21.5614 3.80186i −1.63928 0.289050i −0.723380 0.690450i \(-0.757412\pi\)
−0.915903 + 0.401400i \(0.868524\pi\)
\(174\) 5.21285 2.34472i 0.395185 0.177753i
\(175\) 1.66789 4.58248i 0.126080 0.346403i
\(176\) 4.44965 19.8114i 0.335405 1.49334i
\(177\) −5.03033 + 1.33684i −0.378103 + 0.100483i
\(178\) −18.6098 11.0341i −1.39486 0.827044i
\(179\) −3.25380 5.63574i −0.243200 0.421235i 0.718424 0.695606i \(-0.244864\pi\)
−0.961624 + 0.274370i \(0.911531\pi\)
\(180\) 17.8884 5.96323i 1.33333 0.444473i
\(181\) −6.07868 + 10.5286i −0.451825 + 0.782584i −0.998499 0.0547614i \(-0.982560\pi\)
0.546675 + 0.837345i \(0.315894\pi\)
\(182\) 0.487381 0.273901i 0.0361271 0.0203029i
\(183\) 10.8713 15.4583i 0.803627 1.14271i
\(184\) −4.97808 + 3.89014i −0.366989 + 0.286785i
\(185\) 11.3788 + 13.5607i 0.836583 + 0.997001i
\(186\) 17.4269 16.9577i 1.27781 1.24340i
\(187\) −7.32854 20.1350i −0.535916 1.47242i
\(188\) 3.47500 + 3.05602i 0.253441 + 0.222883i
\(189\) −4.69574 2.22486i −0.341565 0.161835i
\(190\) 18.9836 + 7.15992i 1.37721 + 0.519435i
\(191\) −12.2246 + 4.44938i −0.884538 + 0.321946i −0.744040 0.668135i \(-0.767093\pi\)
−0.140499 + 0.990081i \(0.544871\pi\)
\(192\) 0.216386 + 13.8547i 0.0156163 + 0.999878i
\(193\) 15.4310 12.9481i 1.11075 0.932027i 0.112646 0.993635i \(-0.464067\pi\)
0.998100 + 0.0616079i \(0.0196228\pi\)
\(194\) −4.26171 + 22.6310i −0.305973 + 1.62481i
\(195\) −0.191935 + 2.14330i −0.0137448 + 0.153485i
\(196\) −0.301510 1.97714i −0.0215364 0.141224i
\(197\) −11.5455 6.66581i −0.822585 0.474919i 0.0287223 0.999587i \(-0.490856\pi\)
−0.851307 + 0.524668i \(0.824189\pi\)
\(198\) 0.337979 21.5340i 0.0240191 1.53035i
\(199\) −19.3510 + 11.1723i −1.37175 + 0.791982i −0.991149 0.132756i \(-0.957617\pi\)
−0.380605 + 0.924738i \(0.624284\pi\)
\(200\) −13.1175 + 4.26366i −0.927547 + 0.301486i
\(201\) 25.6120 + 6.91893i 1.80653 + 0.488024i
\(202\) −10.8367 + 12.6146i −0.762468 + 0.887558i
\(203\) 2.19278 + 0.798106i 0.153903 + 0.0560161i
\(204\) 8.08195 + 12.1858i 0.565850 + 0.853176i
\(205\) 1.27905 7.25383i 0.0893324 0.506629i
\(206\) −21.1254 + 3.47280i −1.47188 + 0.241961i
\(207\) −4.32832 + 5.11561i −0.300839 + 0.355560i
\(208\) −1.45924 0.609178i −0.101180 0.0422389i
\(209\) 14.8953 17.7515i 1.03033 1.22790i
\(210\) 6.93172 + 3.34823i 0.478334 + 0.231050i
\(211\) −27.3386 + 4.82053i −1.88206 + 0.331859i −0.992229 0.124423i \(-0.960292\pi\)
−0.889835 + 0.456282i \(0.849181\pi\)
\(212\) −0.251087 + 10.8203i −0.0172447 + 0.743144i
\(213\) −18.6700 + 13.0160i −1.27924 + 0.891840i
\(214\) −0.207407 0.00240613i −0.0141781 0.000164480i
\(215\) 3.01601 0.205690
\(216\) 3.21961 + 14.3399i 0.219067 + 0.975710i
\(217\) 9.92690 0.673882
\(218\) −20.2842 0.235317i −1.37382 0.0159377i
\(219\) 2.32698 + 1.09089i 0.157242 + 0.0737155i
\(220\) −0.740186 + 31.8975i −0.0499033 + 2.15053i
\(221\) −1.64335 + 0.289766i −0.110543 + 0.0194918i
\(222\) −11.4092 + 7.75893i −0.765734 + 0.520746i
\(223\) −6.17475 + 7.35878i −0.413492 + 0.492780i −0.932084 0.362241i \(-0.882012\pi\)
0.518593 + 0.855021i \(0.326456\pi\)
\(224\) −3.88125 + 4.11533i −0.259327 + 0.274967i
\(225\) −12.6995 + 7.26294i −0.846636 + 0.484196i
\(226\) 1.66895 0.274358i 0.111017 0.0182500i
\(227\) 1.23474 7.00256i 0.0819526 0.464776i −0.916020 0.401132i \(-0.868617\pi\)
0.997973 0.0636438i \(-0.0202722\pi\)
\(228\) −7.04281 + 14.1587i −0.466421 + 0.937685i
\(229\) 5.12543 + 1.86550i 0.338698 + 0.123276i 0.505769 0.862669i \(-0.331209\pi\)
−0.167071 + 0.985945i \(0.553431\pi\)
\(230\) 6.46904 7.53035i 0.426556 0.496536i
\(231\) 6.22980 6.20435i 0.409890 0.408216i
\(232\) −2.04022 6.27691i −0.133947 0.412099i
\(233\) 9.85508 5.68983i 0.645628 0.372753i −0.141151 0.989988i \(-0.545080\pi\)
0.786779 + 0.617235i \(0.211747\pi\)
\(234\) −1.64696 0.317131i −0.107665 0.0207315i
\(235\) −6.29740 3.63581i −0.410797 0.237174i
\(236\) 0.906060 + 5.94146i 0.0589795 + 0.386756i
\(237\) −0.267124 + 0.123897i −0.0173515 + 0.00804797i
\(238\) −1.10472 + 5.86642i −0.0716086 + 0.380263i
\(239\) 13.2755 11.1395i 0.858723 0.720555i −0.102969 0.994685i \(-0.532834\pi\)
0.961693 + 0.274130i \(0.0883899\pi\)
\(240\) −4.61018 21.2796i −0.297586 1.37359i
\(241\) 20.0737 7.30624i 1.29306 0.470636i 0.398331 0.917242i \(-0.369589\pi\)
0.894731 + 0.446605i \(0.147367\pi\)
\(242\) 19.5415 + 7.37035i 1.25618 + 0.473784i
\(243\) 6.44305 + 14.1946i 0.413322 + 0.910585i
\(244\) −16.3866 14.4108i −1.04904 0.922560i
\(245\) 1.07487 + 2.95317i 0.0686707 + 0.188671i
\(246\) 5.52459 + 1.56142i 0.352235 + 0.0995525i
\(247\) −1.16001 1.38244i −0.0738096 0.0879628i
\(248\) −17.2886 22.1236i −1.09783 1.40485i
\(249\) 8.07567 + 17.4113i 0.511775 + 1.10340i
\(250\) −0.478224 + 0.268755i −0.0302455 + 0.0169975i
\(251\) 7.41945 12.8509i 0.468312 0.811139i −0.531033 0.847351i \(-0.678196\pi\)
0.999344 + 0.0362120i \(0.0115292\pi\)
\(252\) −3.14069 + 5.11234i −0.197845 + 0.322047i
\(253\) −5.66933 9.81956i −0.356427 0.617351i
\(254\) 14.4343 + 8.55839i 0.905685 + 0.537001i
\(255\) −16.2137 16.2802i −1.01534 1.01951i
\(256\) 15.9311 + 1.48273i 0.995697 + 0.0926706i
\(257\) 1.48081 4.06848i 0.0923701 0.253785i −0.884901 0.465780i \(-0.845774\pi\)
0.977271 + 0.211995i \(0.0679961\pi\)
\(258\) −0.236820 + 2.33879i −0.0147438 + 0.145607i
\(259\) −5.54722 0.978125i −0.344688 0.0607777i
\(260\) 2.43635 + 0.488127i 0.151096 + 0.0302724i
\(261\) −3.47541 6.07691i −0.215123 0.376151i
\(262\) −13.7557 + 11.2731i −0.849833 + 0.696456i
\(263\) −7.14963 5.99926i −0.440865 0.369930i 0.395168 0.918609i \(-0.370686\pi\)
−0.836033 + 0.548679i \(0.815131\pi\)
\(264\) −24.6770 3.07860i −1.51877 0.189475i
\(265\) −2.95326 16.7487i −0.181417 1.02887i
\(266\) −6.09175 + 2.13752i −0.373509 + 0.131060i
\(267\) −11.2474 + 23.9919i −0.688331 + 1.46828i
\(268\) 11.1426 28.5360i 0.680640 1.74312i
\(269\) 16.1098i 0.982235i 0.871093 + 0.491117i \(0.163411\pi\)
−0.871093 + 0.491117i \(0.836589\pi\)
\(270\) −9.38713 21.1002i −0.571283 1.28411i
\(271\) 16.0309i 0.973807i 0.873456 + 0.486904i \(0.161874\pi\)
−0.873456 + 0.486904i \(0.838126\pi\)
\(272\) 14.9981 7.75484i 0.909396 0.470206i
\(273\) −0.391591 0.561693i −0.0237002 0.0339952i
\(274\) 0.114284 + 0.325700i 0.00690415 + 0.0196762i
\(275\) −4.29859 24.3785i −0.259215 1.47008i
\(276\) 5.33150 + 5.60775i 0.320919 + 0.337547i
\(277\) −11.9080 9.99199i −0.715481 0.600360i 0.210650 0.977562i \(-0.432442\pi\)
−0.926131 + 0.377201i \(0.876886\pi\)
\(278\) 4.17431 + 5.09359i 0.250358 + 0.305493i
\(279\) −22.7348 19.2359i −1.36110 1.15162i
\(280\) 4.70961 7.53871i 0.281453 0.450524i
\(281\) −7.73152 1.36328i −0.461224 0.0813262i −0.0617920 0.998089i \(-0.519682\pi\)
−0.399432 + 0.916763i \(0.630793\pi\)
\(282\) 3.31389 4.59788i 0.197339 0.273800i
\(283\) 1.00485 2.76079i 0.0597318 0.164112i −0.906237 0.422770i \(-0.861058\pi\)
0.965969 + 0.258658i \(0.0832802\pi\)
\(284\) 12.6085 + 23.0579i 0.748178 + 1.36824i
\(285\) 6.48044 23.9888i 0.383868 1.42098i
\(286\) 1.44740 2.44113i 0.0855868 0.144347i
\(287\) 1.17188 + 2.02975i 0.0691738 + 0.119813i
\(288\) 16.8634 1.90410i 0.993686 0.112200i
\(289\) 0.408810 0.708080i 0.0240477 0.0416518i
\(290\) 5.08104 + 9.04124i 0.298369 + 0.530920i
\(291\) 28.0919 + 2.51567i 1.64678 + 0.147471i
\(292\) 1.54301 2.53488i 0.0902976 0.148342i
\(293\) 0.453631 + 0.540617i 0.0265014 + 0.0315832i 0.779132 0.626859i \(-0.215660\pi\)
−0.752631 + 0.658443i \(0.771216\pi\)
\(294\) −2.37446 + 0.601627i −0.138481 + 0.0350876i
\(295\) −3.23005 8.87450i −0.188061 0.516693i
\(296\) 7.48108 + 14.0663i 0.434829 + 0.817587i
\(297\) −26.2901 + 2.13751i −1.52551 + 0.124031i
\(298\) −3.21442 + 8.52260i −0.186206 + 0.493701i
\(299\) −0.829772 + 0.302012i −0.0479870 + 0.0174658i
\(300\) 6.75049 + 15.4856i 0.389739 + 0.894059i
\(301\) −0.735164 + 0.616876i −0.0423741 + 0.0355561i
\(302\) −25.7712 4.85306i −1.48297 0.279262i
\(303\) 16.6603 + 11.7165i 0.957108 + 0.673098i
\(304\) 15.3731 + 9.85369i 0.881708 + 0.565148i
\(305\) 29.6958 + 17.1449i 1.70038 + 0.981714i
\(306\) 13.8977 11.2947i 0.794480 0.645675i
\(307\) −1.52068 + 0.877965i −0.0867898 + 0.0501081i −0.542767 0.839883i \(-0.682623\pi\)
0.455977 + 0.889992i \(0.349290\pi\)
\(308\) −6.34369 7.92653i −0.361465 0.451656i
\(309\) 6.73451 + 25.3409i 0.383113 + 1.44159i
\(310\) 33.4663 + 28.7497i 1.90076 + 1.63287i
\(311\) 19.2288 + 6.99871i 1.09036 + 0.396860i 0.823756 0.566944i \(-0.191875\pi\)
0.266609 + 0.963805i \(0.414097\pi\)
\(312\) −0.569826 + 1.85096i −0.0322600 + 0.104790i
\(313\) −0.0782110 + 0.443557i −0.00442075 + 0.0250713i −0.986938 0.161098i \(-0.948496\pi\)
0.982518 + 0.186170i \(0.0596074\pi\)
\(314\) −1.47304 8.96067i −0.0831286 0.505680i
\(315\) 3.26084 8.84625i 0.183728 0.498430i
\(316\) 0.108847 + 0.322117i 0.00612313 + 0.0181205i
\(317\) −13.1686 + 15.6937i −0.739622 + 0.881448i −0.996379 0.0850285i \(-0.972902\pi\)
0.256756 + 0.966476i \(0.417346\pi\)
\(318\) 13.2198 0.974996i 0.741330 0.0546750i
\(319\) 11.6655 2.05693i 0.653140 0.115166i
\(320\) −25.0033 + 2.63327i −1.39773 + 0.147204i
\(321\) 0.0216229 + 0.253116i 0.00120687 + 0.0141276i
\(322\) −0.0366438 + 3.15868i −0.00204208 + 0.176027i
\(323\) 19.2693 1.07217
\(324\) 17.0993 5.62251i 0.949963 0.312362i
\(325\) −1.92782 −0.106936
\(326\) 0.354396 30.5488i 0.0196282 1.69194i
\(327\) 2.11469 + 24.7545i 0.116943 + 1.36893i
\(328\) 2.48268 6.14670i 0.137083 0.339395i
\(329\) 2.27866 0.401789i 0.125627 0.0221513i
\(330\) 38.9710 2.87421i 2.14528 0.158220i
\(331\) 20.4269 24.3438i 1.12276 1.33806i 0.188255 0.982120i \(-0.439717\pi\)
0.934509 0.355938i \(-0.115839\pi\)
\(332\) 20.9958 7.09472i 1.15229 0.389373i
\(333\) 10.8090 + 12.9893i 0.592330 + 0.711808i
\(334\) −1.26895 7.71913i −0.0694337 0.422372i
\(335\) −8.35895 + 47.4059i −0.456698 + 2.59006i
\(336\) 5.47614 + 4.24404i 0.298748 + 0.231531i
\(337\) 24.4353 + 8.89373i 1.33108 + 0.484472i 0.906991 0.421150i \(-0.138373\pi\)
0.424086 + 0.905622i \(0.360595\pi\)
\(338\) 13.7779 + 11.8361i 0.749418 + 0.643797i
\(339\) −0.532039 2.00198i −0.0288964 0.108733i
\(340\) −20.7143 + 16.5779i −1.12339 + 0.899062i
\(341\) 43.6401 25.1956i 2.36324 1.36442i
\(342\) 18.0935 + 6.90892i 0.978382 + 0.373592i
\(343\) −0.866025 0.500000i −0.0467610 0.0269975i
\(344\) 2.65515 + 0.564078i 0.143156 + 0.0304130i
\(345\) −9.94546 6.99426i −0.535446 0.376559i
\(346\) 30.4280 + 5.72999i 1.63582 + 0.308046i
\(347\) −19.7461 + 16.5689i −1.06002 + 0.889465i −0.994112 0.108360i \(-0.965440\pi\)
−0.0659118 + 0.997825i \(0.520996\pi\)
\(348\) −7.41005 + 3.23020i −0.397220 + 0.173157i
\(349\) −3.12298 + 1.13667i −0.167169 + 0.0608446i −0.424249 0.905546i \(-0.639462\pi\)
0.257080 + 0.966390i \(0.417240\pi\)
\(350\) −2.43376 + 6.45281i −0.130090 + 0.344917i
\(351\) −0.191593 + 2.04521i −0.0102265 + 0.109165i
\(352\) −6.61735 + 27.9426i −0.352706 + 1.48935i
\(353\) 8.18952 + 22.5005i 0.435884 + 1.19758i 0.942146 + 0.335203i \(0.108805\pi\)
−0.506262 + 0.862380i \(0.668973\pi\)
\(354\) 7.13541 1.80793i 0.379243 0.0960905i
\(355\) −26.5441 31.6340i −1.40881 1.67896i
\(356\) 26.1354 + 15.9089i 1.38517 + 0.843169i
\(357\) 7.28201 + 0.652114i 0.385405 + 0.0345135i
\(358\) 4.50880 + 8.02299i 0.238298 + 0.424028i
\(359\) 4.53726 7.85877i 0.239468 0.414770i −0.721094 0.692837i \(-0.756360\pi\)
0.960562 + 0.278067i \(0.0896938\pi\)
\(360\) −25.3942 + 8.13925i −1.33839 + 0.428976i
\(361\) 0.919616 + 1.59282i 0.0484009 + 0.0838328i
\(362\) 8.76870 14.7889i 0.460873 0.777290i
\(363\) 6.67091 24.6939i 0.350132 1.29609i
\(364\) −0.693707 + 0.379333i −0.0363601 + 0.0198824i
\(365\) −1.59487 + 4.38187i −0.0834794 + 0.229358i
\(366\) −15.6269 + 21.6816i −0.816829 + 1.13331i
\(367\) 7.46588 + 1.31644i 0.389716 + 0.0687174i 0.365073 0.930979i \(-0.381044\pi\)
0.0246429 + 0.999696i \(0.492155\pi\)
\(368\) 7.10341 5.41946i 0.370291 0.282509i
\(369\) 1.24930 6.91939i 0.0650360 0.360209i
\(370\) −15.8684 19.3631i −0.824961 1.00664i
\(371\) 4.14555 + 3.47853i 0.215226 + 0.180596i
\(372\) −24.9219 + 23.6942i −1.29214 + 1.22849i
\(373\) 2.62876 + 14.9084i 0.136112 + 0.771929i 0.974079 + 0.226208i \(0.0726331\pi\)
−0.837967 + 0.545721i \(0.816256\pi\)
\(374\) 10.0331 + 28.5935i 0.518800 + 1.47854i
\(375\) 0.384234 + 0.551140i 0.0198417 + 0.0284607i
\(376\) −4.86393 4.37858i −0.250838 0.225808i
\(377\) 0.922491i 0.0475107i
\(378\) 6.60383 + 3.22325i 0.339665 + 0.165786i
\(379\) 22.3722i 1.14918i −0.818441 0.574591i \(-0.805161\pi\)
0.818441 0.574591i \(-0.194839\pi\)
\(380\) −26.7276 10.4364i −1.37109 0.535376i
\(381\) 8.72381 18.6087i 0.446935 0.953355i
\(382\) 17.3600 6.09140i 0.888214 0.311663i
\(383\) −5.47134 31.0295i −0.279573 1.58554i −0.724052 0.689746i \(-0.757722\pi\)
0.444479 0.895789i \(-0.353389\pi\)
\(384\) −0.0787068 19.5958i −0.00401649 0.999992i
\(385\) 12.2208 + 10.2544i 0.622828 + 0.522614i
\(386\) −22.0337 + 18.0571i −1.12148 + 0.919080i
\(387\) 2.87904 + 0.0117851i 0.146350 + 0.000599071i
\(388\) 6.39783 31.9330i 0.324801 1.62115i
\(389\) −18.7022 3.29769i −0.948237 0.167200i −0.321919 0.946767i \(-0.604328\pi\)
−0.626318 + 0.779568i \(0.715439\pi\)
\(390\) 0.306580 3.02773i 0.0155243 0.153315i
\(391\) 3.22476 8.85994i 0.163083 0.448067i
\(392\) 0.393936 + 2.80086i 0.0198968 + 0.141465i
\(393\) 15.3706 + 15.4337i 0.775347 + 0.778527i
\(394\) 16.2174 + 9.61565i 0.817020 + 0.484430i
\(395\) −0.267138 0.462697i −0.0134412 0.0232808i
\(396\) −0.831210 + 30.4460i −0.0417699 + 1.52997i
\(397\) −14.5100 + 25.1320i −0.728234 + 1.26134i 0.229395 + 0.973333i \(0.426325\pi\)
−0.957629 + 0.288005i \(0.907008\pi\)
\(398\) 27.5478 15.4815i 1.38085 0.776016i
\(399\) 3.32689 + 7.17283i 0.166553 + 0.359091i
\(400\) 18.6196 5.81413i 0.930982 0.290706i
\(401\) −9.85491 11.7446i −0.492131 0.586499i 0.461627 0.887074i \(-0.347266\pi\)
−0.953758 + 0.300575i \(0.902821\pi\)
\(402\) −36.1049 10.2044i −1.80075 0.508947i
\(403\) −1.34220 3.68767i −0.0668599 0.183696i
\(404\) 15.5313 17.6607i 0.772713 0.878654i
\(405\) −24.6099 + 13.9411i −1.22288 + 0.692741i
\(406\) −3.08776 1.16459i −0.153243 0.0577976i
\(407\) −26.8690 + 9.77951i −1.33185 + 0.484752i
\(408\) −11.2289 17.3647i −0.555914 0.859683i
\(409\) −21.9428 + 18.4122i −1.08500 + 0.910423i −0.996326 0.0856377i \(-0.972707\pi\)
−0.0886736 + 0.996061i \(0.528263\pi\)
\(410\) −1.92772 + 10.2368i −0.0952034 + 0.505559i
\(411\) 0.383500 0.177874i 0.0189167 0.00877390i
\(412\) 29.9308 4.56438i 1.47458 0.224871i
\(413\) 2.60247 + 1.50254i 0.128059 + 0.0739350i
\(414\) 6.20467 7.16308i 0.304943 0.352046i
\(415\) −30.1588 + 17.4122i −1.48044 + 0.854732i
\(416\) 2.05355 + 0.885389i 0.100684 + 0.0434097i
\(417\) 5.71492 5.69157i 0.279861 0.278717i
\(418\) −21.3549 + 24.8584i −1.04450 + 1.21586i
\(419\) 11.1876 + 4.07194i 0.546549 + 0.198928i 0.600512 0.799615i \(-0.294963\pi\)
−0.0539636 + 0.998543i \(0.517185\pi\)
\(420\) −9.74735 4.84851i −0.475622 0.236583i
\(421\) 2.65035 15.0309i 0.129170 0.732559i −0.849573 0.527470i \(-0.823141\pi\)
0.978743 0.205089i \(-0.0657483\pi\)
\(422\) 38.7391 6.36830i 1.88579 0.310004i
\(423\) −5.99720 3.49529i −0.291594 0.169947i
\(424\) 0.532576 15.2971i 0.0258642 0.742894i
\(425\) 13.2314 15.7686i 0.641819 0.764890i
\(426\) 26.6151 18.0998i 1.28950 0.876941i
\(427\) −10.7452 + 1.89466i −0.519995 + 0.0916892i
\(428\) 0.293259 + 0.00680511i 0.0141752 + 0.000328937i
\(429\) −3.14713 1.47538i −0.151945 0.0712320i
\(430\) −4.26500 0.0494782i −0.205677 0.00238605i
\(431\) 7.21924 0.347739 0.173869 0.984769i \(-0.444373\pi\)
0.173869 + 0.984769i \(0.444373\pi\)
\(432\) −4.31766 20.3312i −0.207734 0.978185i
\(433\) −37.2734 −1.79125 −0.895623 0.444813i \(-0.853270\pi\)
−0.895623 + 0.444813i \(0.853270\pi\)
\(434\) −14.0378 0.162852i −0.673837 0.00781717i
\(435\) 10.4198 7.26427i 0.499590 0.348295i
\(436\) 28.6804 + 0.665531i 1.37354 + 0.0318732i
\(437\) 10.0418 1.77064i 0.480366 0.0847014i
\(438\) −3.27272 1.58082i −0.156377 0.0755346i
\(439\) −5.82016 + 6.93620i −0.277781 + 0.331047i −0.886839 0.462079i \(-0.847103\pi\)
0.609057 + 0.793126i \(0.291548\pi\)
\(440\) 1.56999 45.0948i 0.0748466 2.14981i
\(441\) 1.01451 + 2.82325i 0.0483101 + 0.134441i
\(442\) 2.32864 0.382804i 0.110762 0.0182082i
\(443\) −0.0259702 + 0.147284i −0.00123388 + 0.00699769i −0.985418 0.170148i \(-0.945575\pi\)
0.984185 + 0.177146i \(0.0566865\pi\)
\(444\) 16.2612 10.7849i 0.771723 0.511828i
\(445\) −45.1785 16.4436i −2.14167 0.779503i
\(446\) 8.85255 10.3049i 0.419180 0.487951i
\(447\) 10.7697 + 2.90937i 0.509389 + 0.137608i
\(448\) 5.55606 5.75589i 0.262499 0.271940i
\(449\) 8.74597 5.04949i 0.412748 0.238300i −0.279222 0.960227i \(-0.590077\pi\)
0.691970 + 0.721927i \(0.256743\pi\)
\(450\) 18.0778 10.0623i 0.852196 0.474342i
\(451\) 10.3035 + 5.94872i 0.485172 + 0.280114i
\(452\) −2.36459 + 0.360595i −0.111221 + 0.0169610i
\(453\) −2.86474 + 31.9899i −0.134597 + 1.50302i
\(454\) −1.86095 + 9.88219i −0.0873386 + 0.463794i
\(455\) 0.951722 0.798589i 0.0446174 0.0374384i
\(456\) 10.1916 19.9066i 0.477267 0.932211i
\(457\) −26.0641 + 9.48656i −1.21923 + 0.443763i −0.869895 0.493236i \(-0.835814\pi\)
−0.349332 + 0.936999i \(0.613592\pi\)
\(458\) −7.21735 2.72212i −0.337245 0.127197i
\(459\) −15.4138 15.6042i −0.719453 0.728343i
\(460\) −9.27153 + 10.5427i −0.432287 + 0.491555i
\(461\) 2.61046 + 7.17217i 0.121581 + 0.334041i 0.985521 0.169554i \(-0.0542326\pi\)
−0.863940 + 0.503595i \(0.832010\pi\)
\(462\) −8.91145 + 8.67148i −0.414598 + 0.403434i
\(463\) −6.07771 7.24313i −0.282455 0.336617i 0.606099 0.795389i \(-0.292734\pi\)
−0.888554 + 0.458773i \(0.848289\pi\)
\(464\) 2.78214 + 8.90976i 0.129158 + 0.413625i
\(465\) 31.0839 44.1996i 1.44148 2.04971i
\(466\) −14.0296 + 7.88442i −0.649908 + 0.365239i
\(467\) −0.185247 + 0.320857i −0.00857220 + 0.0148475i −0.870280 0.492558i \(-0.836062\pi\)
0.861707 + 0.507405i \(0.169395\pi\)
\(468\) 2.32380 + 0.475479i 0.107418 + 0.0219790i
\(469\) −7.65858 13.2650i −0.353640 0.612523i
\(470\) 8.84563 + 5.24477i 0.408018 + 0.241923i
\(471\) −10.7487 + 2.85655i −0.495276 + 0.131623i
\(472\) −1.18380 8.41679i −0.0544890 0.387414i
\(473\) −1.66618 + 4.57780i −0.0766112 + 0.210488i
\(474\) 0.379777 0.170823i 0.0174437 0.00784614i
\(475\) 21.9234 + 3.86568i 1.00591 + 0.177370i
\(476\) 1.65845 8.27768i 0.0760149 0.379407i
\(477\) −2.75369 15.9996i −0.126083 0.732573i
\(478\) −18.9559 + 15.5348i −0.867024 + 0.710545i
\(479\) −20.7077 17.3758i −0.946157 0.793920i 0.0324888 0.999472i \(-0.489657\pi\)
−0.978646 + 0.205552i \(0.934101\pi\)
\(480\) 6.17025 + 30.1675i 0.281632 + 1.37695i
\(481\) 0.386676 + 2.19295i 0.0176309 + 0.0999899i
\(482\) −28.5065 + 10.0026i −1.29844 + 0.455605i
\(483\) 3.85480 0.329303i 0.175400 0.0149838i
\(484\) −27.5131 10.7431i −1.25060 0.488324i
\(485\) 51.1751i 2.32374i
\(486\) −8.87837 20.1786i −0.402731 0.915318i
\(487\) 16.5180i 0.748503i −0.927327 0.374251i \(-0.877900\pi\)
0.927327 0.374251i \(-0.122100\pi\)
\(488\) 22.9362 + 20.6475i 1.03827 + 0.934667i
\(489\) −37.2812 + 3.18481i −1.68591 + 0.144022i
\(490\) −1.47154 4.19377i −0.0664775 0.189455i
\(491\) 3.06984 + 17.4099i 0.138540 + 0.785699i 0.972329 + 0.233616i \(0.0750558\pi\)
−0.833789 + 0.552083i \(0.813833\pi\)
\(492\) −7.78682 2.29867i −0.351057 0.103632i
\(493\) 7.54550 + 6.33143i 0.339832 + 0.285153i
\(494\) 1.61771 + 1.97397i 0.0727842 + 0.0888131i
\(495\) −8.11766 47.1657i −0.364862 2.11994i
\(496\) 24.0851 + 31.5690i 1.08146 + 1.41749i
\(497\) 12.9404 + 2.28175i 0.580457 + 0.102350i
\(498\) −11.1343 24.7541i −0.498941 1.10926i
\(499\) −2.08157 + 5.71908i −0.0931840 + 0.256021i −0.977525 0.210821i \(-0.932386\pi\)
0.884341 + 0.466842i \(0.154608\pi\)
\(500\) 0.680674 0.372206i 0.0304407 0.0166455i
\(501\) −9.25946 + 2.46076i −0.413682 + 0.109939i
\(502\) −10.7028 + 18.0509i −0.477689 + 0.805652i
\(503\) 10.2415 + 17.7388i 0.456646 + 0.790934i 0.998781 0.0493572i \(-0.0157173\pi\)
−0.542135 + 0.840291i \(0.682384\pi\)
\(504\) 4.52518 7.17794i 0.201567 0.319731i
\(505\) −18.4780 + 32.0048i −0.822259 + 1.42419i
\(506\) 7.85601 + 13.9790i 0.349242 + 0.621444i
\(507\) 12.7970 18.1967i 0.568336 0.808143i
\(508\) −20.2713 12.3394i −0.899395 0.547471i
\(509\) 8.94266 + 10.6574i 0.396376 + 0.472383i 0.926912 0.375280i \(-0.122453\pi\)
−0.530535 + 0.847663i \(0.678009\pi\)
\(510\) 22.6611 + 23.2882i 1.00345 + 1.03122i
\(511\) −0.507484 1.39430i −0.0224498 0.0616803i
\(512\) −22.5042 2.35811i −0.994555 0.104215i
\(513\) 6.27987 22.8741i 0.277263 1.00991i
\(514\) −2.16078 + 5.72902i −0.0953079 + 0.252696i
\(515\) −44.7063 + 16.2718i −1.97000 + 0.717020i
\(516\) 0.373260 3.30344i 0.0164318 0.145426i
\(517\) 8.99752 7.54982i 0.395711 0.332041i
\(518\) 7.82838 + 1.47419i 0.343959 + 0.0647721i
\(519\) 3.38239 37.7704i 0.148471 1.65794i
\(520\) −3.43728 0.730239i −0.150735 0.0320231i
\(521\) 0.586899 + 0.338846i 0.0257125 + 0.0148451i 0.512801 0.858507i \(-0.328608\pi\)
−0.487089 + 0.873353i \(0.661941\pi\)
\(522\) 4.81496 + 8.65048i 0.210745 + 0.378621i
\(523\) −15.9122 + 9.18689i −0.695790 + 0.401714i −0.805777 0.592219i \(-0.798252\pi\)
0.109988 + 0.993933i \(0.464919\pi\)
\(524\) 19.6372 15.7159i 0.857855 0.686551i
\(525\) 8.15417 + 2.20280i 0.355877 + 0.0961381i
\(526\) 10.0120 + 8.60095i 0.436544 + 0.375019i
\(527\) 39.3753 + 14.3315i 1.71522 + 0.624288i
\(528\) 34.8458 + 4.75834i 1.51647 + 0.207080i
\(529\) −3.12752 + 17.7371i −0.135979 + 0.771177i
\(530\) 3.90149 + 23.7332i 0.169470 + 1.03090i
\(531\) −3.04868 8.48408i −0.132302 0.368178i
\(532\) 8.64953 2.92277i 0.375005 0.126718i
\(533\) 0.595570 0.709773i 0.0257970 0.0307437i
\(534\) 16.2988 33.7428i 0.705317 1.46019i
\(535\) −0.453934 + 0.0800409i −0.0196253 + 0.00346047i
\(536\) −16.2250 + 40.1705i −0.700815 + 1.73510i
\(537\) 9.24627 6.44615i 0.399006 0.278172i
\(538\) 0.264285 22.7812i 0.0113941 0.982169i
\(539\) −5.07623 −0.218649
\(540\) 12.9284 + 29.9921i 0.556348 + 1.29066i
\(541\) 9.83573 0.422871 0.211436 0.977392i \(-0.432186\pi\)
0.211436 + 0.977392i \(0.432186\pi\)
\(542\) 0.262990 22.6696i 0.0112964 0.973742i
\(543\) −19.0660 8.93819i −0.818202 0.383574i
\(544\) −21.3364 + 10.7202i −0.914790 + 0.459625i
\(545\) −44.3942 + 7.82790i −1.90164 + 0.335310i
\(546\) 0.544541 + 0.800724i 0.0233042 + 0.0342678i
\(547\) −8.20047 + 9.77293i −0.350627 + 0.417860i −0.912315 0.409488i \(-0.865707\pi\)
0.561689 + 0.827349i \(0.310152\pi\)
\(548\) −0.156268 0.462453i −0.00667544 0.0197550i
\(549\) 28.2802 + 16.4823i 1.20697 + 0.703447i
\(550\) 5.67878 + 34.5446i 0.242144 + 1.47299i
\(551\) −1.84978 + 10.4906i −0.0788033 + 0.446916i
\(552\) −7.44738 8.01749i −0.316981 0.341247i
\(553\) 0.159753 + 0.0581453i 0.00679338 + 0.00247259i
\(554\) 16.6754 + 14.3252i 0.708469 + 0.608620i
\(555\) −21.7250 + 21.6363i −0.922175 + 0.918408i
\(556\) −5.81940 7.27142i −0.246798 0.308377i
\(557\) −32.4381 + 18.7282i −1.37445 + 0.793538i −0.991484 0.130226i \(-0.958430\pi\)
−0.382963 + 0.923764i \(0.625096\pi\)
\(558\) 31.8341 + 27.5748i 1.34765 + 1.16733i
\(559\) 0.328559 + 0.189694i 0.0138966 + 0.00802319i
\(560\) −6.78362 + 10.5834i −0.286660 + 0.447229i
\(561\) 33.6679 15.6158i 1.42146 0.659299i
\(562\) 10.9109 + 2.05467i 0.460250 + 0.0866710i
\(563\) 9.38032 7.87102i 0.395333 0.331724i −0.423353 0.905965i \(-0.639147\pi\)
0.818687 + 0.574241i \(0.194703\pi\)
\(564\) −4.76166 + 6.44758i −0.200502 + 0.271492i
\(565\) 3.53189 1.28550i 0.148588 0.0540815i
\(566\) −1.46626 + 3.88760i −0.0616316 + 0.163408i
\(567\) 3.14731 8.43175i 0.132175 0.354100i
\(568\) −17.4517 32.8135i −0.732256 1.37682i
\(569\) 13.7711 + 37.8358i 0.577314 + 1.58616i 0.792689 + 0.609626i \(0.208681\pi\)
−0.215375 + 0.976532i \(0.569097\pi\)
\(570\) −9.55765 + 33.8167i −0.400326 + 1.41643i
\(571\) 10.4156 + 12.4128i 0.435877 + 0.519458i 0.938608 0.344985i \(-0.112116\pi\)
−0.502731 + 0.864443i \(0.667671\pi\)
\(572\) −2.08685 + 3.42831i −0.0872555 + 0.143345i
\(573\) −9.48080 20.4408i −0.396066 0.853926i
\(574\) −1.62388 2.88954i −0.0677793 0.120607i
\(575\) 5.44634 9.43334i 0.227128 0.393398i
\(576\) −23.8781 + 2.41598i −0.994920 + 0.100666i
\(577\) −15.4762 26.8057i −0.644285 1.11593i −0.984466 0.175574i \(-0.943822\pi\)
0.340182 0.940360i \(-0.389511\pi\)
\(578\) −0.589722 + 0.994603i −0.0245292 + 0.0413700i
\(579\) 24.6204 + 24.7214i 1.02319 + 1.02738i
\(580\) −7.03687 12.8687i −0.292190 0.534345i
\(581\) 3.78994 10.4128i 0.157233 0.431995i
\(582\) −39.6841 4.01831i −1.64496 0.166564i
\(583\) 27.0533 + 4.77023i 1.12043 + 0.197563i
\(584\) −2.22358 + 3.55930i −0.0920124 + 0.147285i
\(585\) −3.72712 0.0152567i −0.154098 0.000630785i
\(586\) −0.632620 0.771938i −0.0261333 0.0318885i
\(587\) −7.04811 5.91406i −0.290906 0.244100i 0.485641 0.874158i \(-0.338586\pi\)
−0.776547 + 0.630059i \(0.783031\pi\)
\(588\) 3.36763 0.811818i 0.138879 0.0334788i
\(589\) 7.86910 + 44.6279i 0.324240 + 1.83886i
\(590\) 4.42209 + 12.6026i 0.182055 + 0.518840i
\(591\) 9.80151 20.9076i 0.403180 0.860023i
\(592\) −10.3484 20.0141i −0.425316 0.822576i
\(593\) 28.9526i 1.18894i −0.804118 0.594469i \(-0.797362\pi\)
0.804118 0.594469i \(-0.202638\pi\)
\(594\) 37.2124 2.59140i 1.52684 0.106326i
\(595\) 13.2656i 0.543838i
\(596\) 4.68538 11.9992i 0.191921 0.491508i
\(597\) −22.1336 31.7481i −0.905867 1.29936i
\(598\) 1.17835 0.413469i 0.0481864 0.0169080i
\(599\) −0.444579 2.52133i −0.0181650 0.103019i 0.974377 0.224920i \(-0.0722121\pi\)
−0.992542 + 0.121901i \(0.961101\pi\)
\(600\) −9.29194 22.0092i −0.379342 0.898520i
\(601\) 27.4075 + 22.9976i 1.11798 + 0.938093i 0.998500 0.0547440i \(-0.0174343\pi\)
0.119476 + 0.992837i \(0.461879\pi\)
\(602\) 1.04973 0.860275i 0.0427837 0.0350622i
\(603\) −8.16456 + 45.2203i −0.332487 + 1.84151i
\(604\) 36.3640 + 7.28559i 1.47963 + 0.296446i
\(605\) 45.7066 + 8.05931i 1.85824 + 0.327657i
\(606\) −23.3674 16.8419i −0.949236 0.684155i
\(607\) 5.16639 14.1946i 0.209697 0.576139i −0.789600 0.613622i \(-0.789712\pi\)
0.999297 + 0.0374831i \(0.0119340\pi\)
\(608\) −21.5777 14.1865i −0.875093 0.575338i
\(609\) −1.05407 + 3.90188i −0.0427131 + 0.158112i
\(610\) −41.7122 24.7321i −1.68888 1.00137i
\(611\) −0.457352 0.792157i −0.0185025 0.0320472i
\(612\) −19.8383 + 15.7441i −0.801917 + 0.636416i
\(613\) 15.7415 27.2650i 0.635792 1.10122i −0.350555 0.936542i \(-0.614007\pi\)
0.986347 0.164681i \(-0.0526596\pi\)
\(614\) 2.16482 1.21660i 0.0873652 0.0490980i
\(615\) 12.7070 + 1.13793i 0.512394 + 0.0458856i
\(616\) 8.84070 + 11.3131i 0.356202 + 0.455819i
\(617\) −7.21958 8.60396i −0.290649 0.346382i 0.600885 0.799336i \(-0.294815\pi\)
−0.891534 + 0.452953i \(0.850371\pi\)
\(618\) −9.10767 35.9455i −0.366364 1.44594i
\(619\) 15.7877 + 43.3765i 0.634563 + 1.74345i 0.668166 + 0.744012i \(0.267079\pi\)
−0.0336035 + 0.999435i \(0.510698\pi\)
\(620\) −46.8537 41.2045i −1.88169 1.65481i
\(621\) −9.46645 6.71548i −0.379876 0.269483i
\(622\) −27.0770 10.2125i −1.08569 0.409482i
\(623\) 14.3757 5.23233i 0.575950 0.209629i
\(624\) 0.836167 2.60812i 0.0334734 0.104408i
\(625\) −19.6122 + 16.4566i −0.784488 + 0.658263i
\(626\) 0.117876 0.625959i 0.00471128 0.0250183i
\(627\) 32.8309 + 23.0888i 1.31114 + 0.922076i
\(628\) 1.93605 + 12.6956i 0.0772570 + 0.506610i
\(629\) −20.5911 11.8883i −0.821021 0.474017i
\(630\) −4.75634 + 12.4561i −0.189497 + 0.496265i
\(631\) −8.72866 + 5.03949i −0.347482 + 0.200619i −0.663576 0.748109i \(-0.730962\pi\)
0.316094 + 0.948728i \(0.397629\pi\)
\(632\) −0.148638 0.457298i −0.00591251 0.0181903i
\(633\) −12.3495 46.4693i −0.490850 1.84699i
\(634\) 18.8794 21.9768i 0.749798 0.872809i
\(635\) 35.0417 + 12.7541i 1.39059 + 0.506133i
\(636\) −18.7104 + 1.16189i −0.741915 + 0.0460718i
\(637\) −0.0686472 + 0.389318i −0.00271990 + 0.0154253i
\(638\) −16.5301 + 2.71738i −0.654432 + 0.107582i
\(639\) −25.2150 30.3011i −0.997489 1.19869i
\(640\) 35.4009 3.31358i 1.39934 0.130981i
\(641\) 19.3363 23.0441i 0.763739 0.910189i −0.234339 0.972155i \(-0.575293\pi\)
0.998078 + 0.0619660i \(0.0197370\pi\)
\(642\) −0.0264249 0.358291i −0.00104291 0.0141406i
\(643\) 38.2382 6.74243i 1.50797 0.265896i 0.642277 0.766473i \(-0.277990\pi\)
0.865692 + 0.500577i \(0.166879\pi\)
\(644\) 0.103637 4.46615i 0.00408389 0.175991i
\(645\) 0.444640 + 5.20493i 0.0175077 + 0.204944i
\(646\) −27.2491 0.316116i −1.07210 0.0124374i
\(647\) 43.9740 1.72880 0.864398 0.502808i \(-0.167700\pi\)
0.864398 + 0.502808i \(0.167700\pi\)
\(648\) −24.2727 + 7.67038i −0.953523 + 0.301321i
\(649\) 15.2544 0.598789
\(650\) 2.72617 + 0.0316263i 0.106929 + 0.00124048i
\(651\) 1.46349 + 17.1315i 0.0573586 + 0.671436i
\(652\) −1.00232 + 43.1938i −0.0392537 + 1.69160i
\(653\) −29.4634 + 5.19519i −1.15299 + 0.203304i −0.717282 0.696783i \(-0.754614\pi\)
−0.435710 + 0.900087i \(0.643503\pi\)
\(654\) −2.58432 35.0404i −0.101055 1.37019i
\(655\) −25.4043 + 30.2757i −0.992630 + 1.18297i
\(656\) −3.61163 + 8.65143i −0.141011 + 0.337782i
\(657\) −1.53956 + 4.17664i −0.0600641 + 0.162946i
\(658\) −3.22888 + 0.530795i −0.125875 + 0.0206926i
\(659\) −3.21235 + 18.2182i −0.125136 + 0.709679i 0.856092 + 0.516824i \(0.172886\pi\)
−0.981227 + 0.192855i \(0.938225\pi\)
\(660\) −55.1568 + 3.42515i −2.14698 + 0.133324i
\(661\) 7.80059 + 2.83918i 0.303408 + 0.110431i 0.489238 0.872151i \(-0.337275\pi\)
−0.185830 + 0.982582i \(0.559497\pi\)
\(662\) −29.2854 + 34.0900i −1.13821 + 1.32494i
\(663\) −0.742341 2.79331i −0.0288301 0.108483i
\(664\) −29.8069 + 9.68833i −1.15673 + 0.375980i
\(665\) −12.4244 + 7.17322i −0.481797 + 0.278165i
\(666\) −15.0721 18.5457i −0.584033 0.718631i
\(667\) 4.51398 + 2.60615i 0.174782 + 0.100911i
\(668\) 1.66781 + 10.9366i 0.0645294 + 0.423149i
\(669\) −13.6098 9.57129i −0.526187 0.370047i
\(670\) 12.5982 66.9005i 0.486713 2.58459i
\(671\) −42.4284 + 35.6017i −1.63793 + 1.37439i
\(672\) −7.67429 6.09141i −0.296042 0.234981i
\(673\) 29.6873 10.8053i 1.14436 0.416513i 0.300874 0.953664i \(-0.402722\pi\)
0.843486 + 0.537151i \(0.180500\pi\)
\(674\) −34.4085 12.9777i −1.32537 0.499881i
\(675\) −14.4064 20.8457i −0.554501 0.802351i
\(676\) −19.2894 16.9636i −0.741899 0.652447i
\(677\) −11.2770 30.9832i −0.433409 1.19078i −0.943706 0.330784i \(-0.892687\pi\)
0.510297 0.859998i \(-0.329535\pi\)
\(678\) 0.719524 + 2.83976i 0.0276331 + 0.109060i
\(679\) −10.4670 12.4741i −0.401687 0.478712i
\(680\) 29.5644 23.1033i 1.13374 0.885970i
\(681\) 12.2668 + 1.09851i 0.470065 + 0.0420950i
\(682\) −62.1256 + 34.9136i −2.37891 + 1.33691i
\(683\) −17.4605 + 30.2424i −0.668107 + 1.15719i 0.310326 + 0.950630i \(0.399562\pi\)
−0.978433 + 0.206565i \(0.933772\pi\)
\(684\) −25.4729 10.0669i −0.973982 0.384916i
\(685\) 0.383521 + 0.664278i 0.0146536 + 0.0253808i
\(686\) 1.21646 + 0.721266i 0.0464447 + 0.0275381i
\(687\) −2.46380 + 9.12030i −0.0939997 + 0.347961i
\(688\) −3.74544 0.841231i −0.142794 0.0320716i
\(689\) 0.731699 2.01033i 0.0278755 0.0765873i
\(690\) 13.9493 + 10.0539i 0.531041 + 0.382744i
\(691\) −0.124765 0.0219995i −0.00474629 0.000836899i 0.171275 0.985223i \(-0.445211\pi\)
−0.176021 + 0.984386i \(0.556323\pi\)
\(692\) −42.9348 8.60206i −1.63214 0.327001i
\(693\) 11.6257 + 9.83648i 0.441623 + 0.373657i
\(694\) 28.1951 23.1065i 1.07027 0.877109i
\(695\) 11.2107 + 9.40693i 0.425248 + 0.356825i
\(696\) 10.5317 4.44632i 0.399202 0.168537i
\(697\) 1.71794 + 9.74291i 0.0650716 + 0.369039i
\(698\) 4.43491 1.55615i 0.167864 0.0589013i
\(699\) 11.2722 + 16.1687i 0.426354 + 0.611557i
\(700\) 3.54749 9.08511i 0.134083 0.343385i
\(701\) 48.7288i 1.84046i −0.391378 0.920230i \(-0.628002\pi\)
0.391378 0.920230i \(-0.371998\pi\)
\(702\) 0.304488 2.88902i 0.0114921 0.109039i
\(703\) 25.7137i 0.969812i
\(704\) 9.81612 39.4056i 0.369959 1.48515i
\(705\) 5.34615 11.4039i 0.201348 0.429494i
\(706\) −11.2118 31.9528i −0.421963 1.20256i
\(707\) −2.04198 11.5806i −0.0767965 0.435535i
\(708\) −10.1200 + 2.43957i −0.380332 + 0.0916848i
\(709\) −26.9530 22.6162i −1.01224 0.849370i −0.0236073 0.999721i \(-0.507515\pi\)
−0.988633 + 0.150351i \(0.951960\pi\)
\(710\) 37.0175 + 45.1697i 1.38924 + 1.69519i
\(711\) −0.253198 0.442727i −0.00949567 0.0166036i
\(712\) −36.6976 22.9258i −1.37530 0.859181i
\(713\) 21.8366 + 3.85039i 0.817788 + 0.144198i
\(714\) −10.2869 1.04163i −0.384978 0.0389820i
\(715\) 2.15699 5.92629i 0.0806670 0.221631i
\(716\) −6.24436 11.4194i −0.233363 0.426764i
\(717\) 21.1813 + 21.2682i 0.791031 + 0.794276i
\(718\) −6.54515 + 11.0388i −0.244263 + 0.411964i
\(719\) −15.2222 26.3656i −0.567692 0.983272i −0.996794 0.0800157i \(-0.974503\pi\)
0.429101 0.903256i \(-0.358830\pi\)
\(720\) 36.0439 11.0933i 1.34328 0.413422i
\(721\) 7.56920 13.1102i 0.281892 0.488251i
\(722\) −1.27432 2.26753i −0.0474251 0.0843886i
\(723\) 15.5683 + 33.5654i 0.578989 + 1.24831i
\(724\) −12.6426 + 20.7695i −0.469858 + 0.771891i
\(725\) 7.31461 + 8.71722i 0.271658 + 0.323749i
\(726\) −9.83856 + 34.8106i −0.365143 + 1.29194i
\(727\) 7.57236 + 20.8049i 0.280843 + 0.771611i 0.997263 + 0.0739408i \(0.0235576\pi\)
−0.716419 + 0.697670i \(0.754220\pi\)
\(728\) 0.987207 0.525041i 0.0365883 0.0194593i
\(729\) −23.5467 + 13.2118i −0.872100 + 0.489328i
\(730\) 2.32722 6.17033i 0.0861344 0.228374i
\(731\) −3.80663 + 1.38550i −0.140793 + 0.0512446i
\(732\) 22.4539 30.4040i 0.829921 1.12376i
\(733\) −13.7232 + 11.5152i −0.506879 + 0.425322i −0.860029 0.510245i \(-0.829555\pi\)
0.353150 + 0.935567i \(0.385110\pi\)
\(734\) −10.5360 1.98408i −0.388893 0.0732336i
\(735\) −4.93802 + 2.29034i −0.182142 + 0.0844806i
\(736\) −10.1340 + 7.54722i −0.373543 + 0.278194i
\(737\) −67.3364 38.8767i −2.48037 1.43204i
\(738\) −1.88017 + 9.76435i −0.0692102 + 0.359431i
\(739\) 16.5451 9.55230i 0.608620 0.351387i −0.163805 0.986493i \(-0.552377\pi\)
0.772425 + 0.635106i \(0.219043\pi\)
\(740\) 22.1222 + 27.6420i 0.813228 + 1.01614i
\(741\) 2.21476 2.20571i 0.0813612 0.0810288i
\(742\) −5.80523 4.98706i −0.213117 0.183081i
\(743\) 27.6893 + 10.0781i 1.01582 + 0.369729i 0.795666 0.605736i \(-0.207121\pi\)
0.220156 + 0.975465i \(0.429343\pi\)
\(744\) 35.6313 33.0976i 1.30631 1.21342i
\(745\) −3.51489 + 19.9339i −0.128776 + 0.730322i
\(746\) −3.47280 21.1254i −0.127148 0.773456i
\(747\) −28.8572 + 16.5036i −1.05583 + 0.603835i
\(748\) −13.7189 40.5992i −0.501614 1.48445i
\(749\) 0.0942770 0.112355i 0.00344481 0.00410536i
\(750\) −0.534310 0.785681i −0.0195103 0.0286890i
\(751\) −37.7811 + 6.66182i −1.37865 + 0.243093i −0.813342 0.581786i \(-0.802354\pi\)
−0.565309 + 0.824879i \(0.691243\pi\)
\(752\) 6.80634 + 6.27162i 0.248202 + 0.228702i
\(753\) 23.2714 + 10.9097i 0.848057 + 0.397571i
\(754\) −0.0151336 + 1.30451i −0.000551134 + 0.0475075i
\(755\) −58.2761 −2.12088
\(756\) −9.28573 4.66640i −0.337719 0.169715i
\(757\) 9.27962 0.337274 0.168637 0.985678i \(-0.446064\pi\)
0.168637 + 0.985678i \(0.446064\pi\)
\(758\) −0.367019 + 31.6369i −0.0133307 + 1.14910i
\(759\) 16.1104 11.2316i 0.584772 0.407681i
\(760\) 37.6247 + 15.1968i 1.36479 + 0.551245i
\(761\) −40.9849 + 7.22674i −1.48570 + 0.261969i −0.856853 0.515560i \(-0.827584\pi\)
−0.628847 + 0.777529i \(0.716473\pi\)
\(762\) −12.6418 + 26.1719i −0.457964 + 0.948106i
\(763\) 9.22018 10.9882i 0.333793 0.397799i
\(764\) −24.6490 + 8.32917i −0.891769 + 0.301339i
\(765\) 25.7055 30.3812i 0.929385 1.09844i
\(766\) 7.22808 + 43.9692i 0.261161 + 1.58867i
\(767\) 0.206290 1.16993i 0.00744870 0.0422437i
\(768\) −0.210171 + 27.7120i −0.00758389 + 0.999971i
\(769\) 42.0679 + 15.3115i 1.51701 + 0.552146i 0.960399 0.278629i \(-0.0898800\pi\)
0.556609 + 0.830775i \(0.312102\pi\)
\(770\) −17.1134 14.7015i −0.616723 0.529804i
\(771\) 7.23955 + 1.95572i 0.260726 + 0.0704336i
\(772\) 31.4544 25.1733i 1.13207 0.906008i
\(773\) 17.6939 10.2156i 0.636407 0.367430i −0.146822 0.989163i \(-0.546904\pi\)
0.783229 + 0.621733i \(0.213571\pi\)
\(774\) −4.07111 0.0638967i −0.146333 0.00229672i
\(775\) 41.9236 + 24.2046i 1.50594 + 0.869456i
\(776\) −9.57116 + 45.0521i −0.343585 + 1.61727i
\(777\) 0.870207 9.71741i 0.0312185 0.348610i
\(778\) 26.3930 + 4.97014i 0.946234 + 0.178188i
\(779\) −8.19610 + 6.87735i −0.293656 + 0.246407i
\(780\) −0.483211 + 4.27653i −0.0173017 + 0.153124i
\(781\) 62.6793 22.8134i 2.24284 0.816327i
\(782\) −4.70554 + 12.4761i −0.168270 + 0.446145i
\(783\) 9.97495 6.89365i 0.356475 0.246359i
\(784\) −0.511123 3.96721i −0.0182544 0.141686i
\(785\) −6.90193 18.9629i −0.246340 0.676815i
\(786\) −21.4827 22.0772i −0.766263 0.787469i
\(787\) −11.8029 14.0661i −0.420727 0.501402i 0.513496 0.858092i \(-0.328350\pi\)
−0.934223 + 0.356689i \(0.883905\pi\)
\(788\) −22.7756 13.8637i −0.811346 0.493875i
\(789\) 9.29926 13.2230i 0.331062 0.470753i
\(790\) 0.370174 + 0.658690i 0.0131702 + 0.0234352i
\(791\) −0.597982 + 1.03573i −0.0212618 + 0.0368265i
\(792\) 1.67490 43.0406i 0.0595150 1.52938i
\(793\) 2.15667 + 3.73547i 0.0765857 + 0.132650i
\(794\) 20.9311 35.3016i 0.742817 1.25281i
\(795\) 28.4690 7.56583i 1.00969 0.268332i
\(796\) −39.2099 + 21.4407i −1.38976 + 0.759946i
\(797\) 9.56773 26.2871i 0.338906 0.931138i −0.646799 0.762660i \(-0.723893\pi\)
0.985706 0.168477i \(-0.0538850\pi\)
\(798\) −4.58695 10.1978i −0.162376 0.360999i
\(799\) 9.61843 + 1.69599i 0.340276 + 0.0599998i
\(800\) −26.4258 + 7.91640i −0.934292 + 0.279887i
\(801\) −43.0625 15.8734i −1.52154 0.560858i
\(802\) 13.7433 + 16.7700i 0.485294 + 0.592168i
\(803\) −5.76987 4.84150i −0.203614 0.170853i
\(804\) 50.8892 + 15.0225i 1.79472 + 0.529802i
\(805\) 1.21897 + 6.91313i 0.0429631 + 0.243656i
\(806\) 1.83754 + 5.23682i 0.0647245 + 0.184459i
\(807\) −27.8018 + 2.37502i −0.978670 + 0.0836045i
\(808\) −22.2529 + 24.7196i −0.782854 + 0.869631i
\(809\) 30.9338i 1.08758i −0.839223 0.543788i \(-0.816990\pi\)
0.839223 0.543788i \(-0.183010\pi\)
\(810\) 35.0300 19.3107i 1.23083 0.678509i
\(811\) 6.22420i 0.218561i −0.994011 0.109281i \(-0.965145\pi\)
0.994011 0.109281i \(-0.0348547\pi\)
\(812\) 4.34735 + 1.69752i 0.152562 + 0.0595714i
\(813\) −27.6656 + 2.36338i −0.970273 + 0.0828872i
\(814\) 38.1563 13.3886i 1.33738 0.469270i
\(815\) −11.7891 66.8594i −0.412955 2.34198i
\(816\) 15.5942 + 24.7400i 0.545905 + 0.866074i
\(817\) −3.35602 2.81604i −0.117412 0.0985207i
\(818\) 31.3317 25.6770i 1.09549 0.897776i
\(819\) 0.911619 0.758602i 0.0318546 0.0265077i
\(820\) 2.89396 14.4444i 0.101062 0.504420i
\(821\) −12.5330 2.20991i −0.437406 0.0771265i −0.0493911 0.998780i \(-0.515728\pi\)
−0.388015 + 0.921653i \(0.626839\pi\)
\(822\) −0.545233 + 0.245244i −0.0190172 + 0.00855387i
\(823\) −4.65653 + 12.7937i −0.162316 + 0.445960i −0.994012 0.109271i \(-0.965148\pi\)
0.831696 + 0.555232i \(0.187370\pi\)
\(824\) −42.4005 + 5.96355i −1.47709 + 0.207750i
\(825\) 41.4379 11.0124i 1.44268 0.383402i
\(826\) −3.65555 2.16746i −0.127193 0.0754155i
\(827\) 16.9113 + 29.2912i 0.588062 + 1.01855i 0.994486 + 0.104869i \(0.0334424\pi\)
−0.406424 + 0.913685i \(0.633224\pi\)
\(828\) −8.89165 + 10.0276i −0.309006 + 0.348485i
\(829\) −5.97371 + 10.3468i −0.207475 + 0.359358i −0.950919 0.309441i \(-0.899858\pi\)
0.743443 + 0.668799i \(0.233191\pi\)
\(830\) 42.9338 24.1282i 1.49026 0.837501i
\(831\) 15.4883 22.0235i 0.537282 0.763986i
\(832\) −2.88944 1.28573i −0.100173 0.0445748i
\(833\) −2.71327 3.23354i −0.0940091 0.112036i
\(834\) −8.17494 + 7.95480i −0.283075 + 0.275452i
\(835\) −5.94564 16.3355i −0.205757 0.565314i
\(836\) 30.6062 34.8024i 1.05854 1.20367i
\(837\) 29.8449 42.0708i 1.03159 1.45418i
\(838\) −15.7538 5.94175i −0.544204 0.205254i
\(839\) −41.4114 + 15.0725i −1.42968 + 0.520362i −0.936840 0.349757i \(-0.886264\pi\)
−0.492842 + 0.870119i \(0.664042\pi\)
\(840\) 13.7044 + 7.01627i 0.472846 + 0.242084i
\(841\) 18.0440 15.1407i 0.622206 0.522093i
\(842\) −3.99449 + 21.2119i −0.137659 + 0.731011i
\(843\) 1.21286 13.5438i 0.0417733 0.466472i
\(844\) −54.8861 + 8.37001i −1.88926 + 0.288108i
\(845\) 34.9562 + 20.1820i 1.20253 + 0.694281i
\(846\) 8.42341 + 5.04114i 0.289603 + 0.173318i
\(847\) −12.7895 + 7.38404i −0.439454 + 0.253719i
\(848\) −1.00408 + 21.6232i −0.0344802 + 0.742544i
\(849\) 4.91261 + 1.32711i 0.168601 + 0.0455464i
\(850\) −18.9695 + 22.0816i −0.650649 + 0.757393i
\(851\) −11.8231 4.30325i −0.405290 0.147513i
\(852\) −37.9338 + 25.1587i −1.29959 + 0.861923i
\(853\) 0.404525 2.29417i 0.0138507 0.0785510i −0.977099 0.212786i \(-0.931746\pi\)
0.990950 + 0.134235i \(0.0428576\pi\)
\(854\) 15.2260 2.50300i 0.521024 0.0856509i
\(855\) 42.3545 + 7.64713i 1.44849 + 0.261526i
\(856\) −0.414592 0.0144342i −0.0141704 0.000493351i
\(857\) 3.25613 3.88051i 0.111227 0.132556i −0.707558 0.706655i \(-0.750203\pi\)
0.818786 + 0.574099i \(0.194648\pi\)
\(858\) 4.42621 + 2.13799i 0.151108 + 0.0729898i
\(859\) −3.74070 + 0.659586i −0.127631 + 0.0225048i −0.237099 0.971486i \(-0.576196\pi\)
0.109468 + 0.993990i \(0.465085\pi\)
\(860\) 6.03040 + 0.139936i 0.205635 + 0.00477178i
\(861\) −3.33011 + 2.32163i −0.113490 + 0.0791208i
\(862\) −10.2089 0.118433i −0.347715 0.00403384i
\(863\) 54.7986 1.86537 0.932683 0.360697i \(-0.117461\pi\)
0.932683 + 0.360697i \(0.117461\pi\)
\(864\) 5.77215 + 28.8216i 0.196372 + 0.980529i
\(865\) 68.8064 2.33949
\(866\) 52.7090 + 0.611477i 1.79113 + 0.0207788i
\(867\) 1.28225 + 0.601121i 0.0435475 + 0.0204151i
\(868\) 19.8485 + 0.460585i 0.673701 + 0.0156333i
\(869\) 0.849875 0.149856i 0.0288300 0.00508352i
\(870\) −14.8540 + 10.1016i −0.503597 + 0.342476i
\(871\) −3.89223 + 4.63858i −0.131883 + 0.157172i
\(872\) −40.5466 1.41165i −1.37308 0.0478044i
\(873\) −0.199967 + 48.8510i −0.00676787 + 1.65335i
\(874\) −14.2294 + 2.33916i −0.481316 + 0.0791234i
\(875\) 0.0673575 0.382003i 0.00227710 0.0129141i
\(876\) 4.60208 + 2.28916i 0.155490 + 0.0773435i
\(877\) 3.41604 + 1.24334i 0.115352 + 0.0419845i 0.399051 0.916929i \(-0.369340\pi\)
−0.283700 + 0.958913i \(0.591562\pi\)
\(878\) 8.34419 9.71313i 0.281603 0.327802i
\(879\) −0.866100 + 0.862562i −0.0292128 + 0.0290935i
\(880\) −2.95995 + 63.7436i −0.0997798 + 2.14880i
\(881\) −30.4693 + 17.5914i −1.02654 + 0.592671i −0.915990 0.401200i \(-0.868593\pi\)
−0.110545 + 0.993871i \(0.535260\pi\)
\(882\) −1.38832 4.00906i −0.0467473 0.134992i
\(883\) −16.2975 9.40934i −0.548453 0.316649i 0.200045 0.979787i \(-0.435891\pi\)
−0.748498 + 0.663137i \(0.769225\pi\)
\(884\) −3.29925 + 0.503129i −0.110966 + 0.0169221i
\(885\) 14.8391 6.88265i 0.498811 0.231358i
\(886\) 0.0391412 0.207851i 0.00131497 0.00698291i
\(887\) −27.4961 + 23.0720i −0.923229 + 0.774681i −0.974589 0.223999i \(-0.928089\pi\)
0.0513600 + 0.998680i \(0.483644\pi\)
\(888\) −23.1722 + 14.9843i −0.777609 + 0.502841i
\(889\) −11.1502 + 4.05834i −0.373965 + 0.136112i
\(890\) 63.6180 + 23.9944i 2.13248 + 0.804294i
\(891\) −7.56470 45.0554i −0.253427 1.50941i
\(892\) −12.6876 + 14.4271i −0.424812 + 0.483055i
\(893\) 3.61260 + 9.92555i 0.120891 + 0.332146i
\(894\) −15.1819 4.29087i −0.507758 0.143508i
\(895\) 13.1459 + 15.6667i 0.439420 + 0.523680i
\(896\) −7.95135 + 8.04836i −0.265636 + 0.268877i
\(897\) −0.643533 1.38747i −0.0214869 0.0463262i
\(898\) −12.4507 + 6.99709i −0.415484 + 0.233496i
\(899\) −11.5822 + 20.0610i −0.386290 + 0.669073i
\(900\) −25.7292 + 13.9327i −0.857641 + 0.464424i
\(901\) 11.4215 + 19.7826i 0.380505 + 0.659054i
\(902\) −14.4728 8.58123i −0.481890 0.285724i
\(903\) −1.17296 1.17778i −0.0390338 0.0391939i
\(904\) 3.34972 0.471132i 0.111410 0.0156696i
\(905\) 13.0676 35.9028i 0.434380 1.19345i
\(906\) 4.57589 45.1906i 0.152024 1.50136i
\(907\) 16.4919 + 2.90797i 0.547605 + 0.0965575i 0.440604 0.897701i \(-0.354764\pi\)
0.107001 + 0.994259i \(0.465875\pi\)
\(908\) 2.79372 13.9441i 0.0927128 0.462750i
\(909\) −17.7638 + 30.4791i −0.589190 + 1.01093i
\(910\) −1.35895 + 1.11369i −0.0450487 + 0.0369183i
\(911\) −5.26224 4.41554i −0.174346 0.146294i 0.551439 0.834215i \(-0.314079\pi\)
−0.725785 + 0.687922i \(0.758523\pi\)
\(912\) −14.7388 + 27.9831i −0.488049 + 0.926612i
\(913\) −9.76770 55.3954i −0.323264 1.83332i
\(914\) 37.0134 12.9875i 1.22429 0.429589i
\(915\) −25.2101 + 53.7756i −0.833421 + 1.77777i
\(916\) 10.1615 + 3.96781i 0.335747 + 0.131100i
\(917\) 12.5758i 0.415291i
\(918\) 21.5409 + 22.3191i 0.710956 + 0.736639i
\(919\) 32.1421i 1.06027i −0.847914 0.530134i \(-0.822141\pi\)
0.847914 0.530134i \(-0.177859\pi\)
\(920\) 13.2840 14.7565i 0.437960 0.486507i
\(921\) −1.73935 2.49490i −0.0573135 0.0822098i
\(922\) −3.57384 10.1851i −0.117698 0.335429i
\(923\) −0.902028 5.11566i −0.0296906 0.168384i
\(924\) 12.7441 12.1163i 0.419250 0.398597i
\(925\) −21.0423 17.6566i −0.691866 0.580544i
\(926\) 8.47577 + 10.3423i 0.278531 + 0.339871i
\(927\) −42.7396 + 15.3581i −1.40375 + 0.504426i
\(928\) −3.78811 12.6451i −0.124351 0.415096i
\(929\) −14.8524 2.61887i −0.487291 0.0859225i −0.0753954 0.997154i \(-0.524022\pi\)
−0.411895 + 0.911231i \(0.635133\pi\)
\(930\) −44.6814 + 61.9935i −1.46516 + 2.03285i
\(931\) 1.56132 4.28970i 0.0511703 0.140589i
\(932\) 19.9688 10.9193i 0.654101 0.357675i
\(933\) −9.24330 + 34.2162i −0.302612 + 1.12019i
\(934\) 0.267225 0.450691i 0.00874386 0.0147470i
\(935\) 33.6697 + 58.3176i 1.10112 + 1.90719i
\(936\) −3.27832 0.710506i −0.107155 0.0232236i
\(937\) 7.52811 13.0391i 0.245933 0.425968i −0.716461 0.697627i \(-0.754239\pi\)
0.962393 + 0.271659i \(0.0875724\pi\)
\(938\) 10.6125 + 18.8840i 0.346511 + 0.616584i
\(939\) −0.777005 0.0695819i −0.0253566 0.00227072i
\(940\) −12.4227 7.56184i −0.405185 0.246640i
\(941\) 2.65428 + 3.16325i 0.0865270 + 0.103119i 0.807571 0.589771i \(-0.200782\pi\)
−0.721044 + 0.692889i \(0.756337\pi\)
\(942\) 15.2468 3.86316i 0.496769 0.125869i
\(943\) 1.79054 + 4.91947i 0.0583081 + 0.160200i
\(944\) 1.53596 + 11.9218i 0.0499913 + 0.388020i
\(945\) 15.7473 + 4.32327i 0.512259 + 0.140636i
\(946\) 2.43128 6.44622i 0.0790478 0.209585i
\(947\) −7.79817 + 2.83830i −0.253407 + 0.0922324i −0.465600 0.884995i \(-0.654161\pi\)
0.212194 + 0.977228i \(0.431939\pi\)
\(948\) −0.539852 + 0.235333i −0.0175336 + 0.00764326i
\(949\) −0.449343 + 0.377043i −0.0145863 + 0.0122393i
\(950\) −30.9388 5.82618i −1.00379 0.189026i
\(951\) −29.0251 20.4122i −0.941203 0.661912i
\(952\) −2.48104 + 11.6784i −0.0804110 + 0.378500i
\(953\) −4.05358 2.34033i −0.131308 0.0758108i 0.432907 0.901439i \(-0.357488\pi\)
−0.564215 + 0.825628i \(0.690821\pi\)
\(954\) 3.63156 + 22.6706i 0.117576 + 0.733986i
\(955\) 35.4064 20.4419i 1.14572 0.661484i
\(956\) 27.0608 21.6571i 0.875208 0.700439i
\(957\) 5.26958 + 19.8286i 0.170341 + 0.640967i
\(958\) 28.9980 + 24.9111i 0.936884 + 0.804843i
\(959\) −0.229352 0.0834772i −0.00740615 0.00269562i
\(960\) −8.23056 42.7617i −0.265640 1.38013i
\(961\) −11.7288 + 66.5172i −0.378348 + 2.14572i
\(962\) −0.510830 3.10743i −0.0164698 0.100188i
\(963\) −0.433632 + 0.0746320i −0.0139736 + 0.00240498i
\(964\) 40.4756 13.6772i 1.30363 0.440512i
\(965\) −40.6921 + 48.4950i −1.30993 + 1.56111i
\(966\) −5.45655 + 0.402435i −0.175562 + 0.0129481i
\(967\) 32.0027 5.64293i 1.02914 0.181464i 0.366509 0.930414i \(-0.380553\pi\)
0.662627 + 0.748950i \(0.269442\pi\)
\(968\) 38.7305 + 15.6434i 1.24485 + 0.502798i
\(969\) 2.84080 + 33.2543i 0.0912597 + 1.06828i
\(970\) 0.839536 72.3677i 0.0269559 2.32359i
\(971\) 10.3035 0.330656 0.165328 0.986239i \(-0.447132\pi\)
0.165328 + 0.986239i \(0.447132\pi\)
\(972\) 12.2240 + 28.6805i 0.392086 + 0.919929i
\(973\) −4.65669 −0.149287
\(974\) −0.270981 + 23.3584i −0.00868278 + 0.748452i
\(975\) −0.284212 3.32697i −0.00910207 0.106548i
\(976\) −32.0958 29.5742i −1.02736 0.946648i
\(977\) −16.6437 + 2.93474i −0.532480 + 0.0938906i −0.433422 0.901191i \(-0.642694\pi\)
−0.0990581 + 0.995082i \(0.531583\pi\)
\(978\) 52.7723 3.89209i 1.68747 0.124455i
\(979\) 49.9174 59.4892i 1.59537 1.90128i
\(980\) 2.01214 + 5.95463i 0.0642753 + 0.190214i
\(981\) −42.4086 + 7.29892i −1.35400 + 0.233037i
\(982\) −4.05550 24.6701i −0.129416 0.787253i
\(983\) 2.18509 12.3923i 0.0696936 0.395252i −0.929928 0.367742i \(-0.880131\pi\)
0.999622 0.0275101i \(-0.00875786\pi\)
\(984\) 10.9738 + 3.37833i 0.349831 + 0.107697i
\(985\) 39.3706 + 14.3297i 1.25445 + 0.456583i
\(986\) −10.5664 9.07717i −0.336501 0.289076i
\(987\) 1.02933 + 3.87320i 0.0327639 + 0.123285i
\(988\) −2.25525 2.81797i −0.0717491 0.0896514i
\(989\) −1.85644 + 1.07182i −0.0590314 + 0.0340818i
\(990\) 10.7056 + 66.8311i 0.340246 + 2.12403i
\(991\) 7.25472 + 4.18851i 0.230454 + 0.133052i 0.610781 0.791799i \(-0.290855\pi\)
−0.380328 + 0.924852i \(0.624189\pi\)
\(992\) −33.5414 45.0374i −1.06494 1.42994i
\(993\) 45.0232 + 31.6631i 1.42877 + 1.00480i
\(994\) −18.2619 3.43895i −0.579231 0.109077i
\(995\) 53.7934 45.1380i 1.70537 1.43097i
\(996\) 15.3392 + 35.1879i 0.486040 + 1.11497i
\(997\) −42.7763 + 15.5693i −1.35474 + 0.493085i −0.914424 0.404759i \(-0.867356\pi\)
−0.440315 + 0.897843i \(0.645133\pi\)
\(998\) 3.03741 8.05330i 0.0961477 0.254923i
\(999\) −20.8229 + 20.5688i −0.658808 + 0.650767i
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 756.2.cf.a.155.2 648
4.3 odd 2 inner 756.2.cf.a.155.83 yes 648
27.23 odd 18 inner 756.2.cf.a.239.83 yes 648
108.23 even 18 inner 756.2.cf.a.239.2 yes 648
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
756.2.cf.a.155.2 648 1.1 even 1 trivial
756.2.cf.a.155.83 yes 648 4.3 odd 2 inner
756.2.cf.a.239.2 yes 648 108.23 even 18 inner
756.2.cf.a.239.83 yes 648 27.23 odd 18 inner