Properties

Label 756.2.cf.a.659.99
Level $756$
Weight $2$
Character 756.659
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 659.99
Character \(\chi\) \(=\) 756.659
Dual form 756.2.cf.a.491.99

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.34022 - 0.451464i) q^{2} +(1.50719 - 0.853450i) q^{3} +(1.59236 - 1.21012i) q^{4} +(0.248693 - 0.683279i) q^{5} +(1.63466 - 1.82425i) q^{6} +(-0.984808 - 0.173648i) q^{7} +(1.58778 - 2.34072i) q^{8} +(1.54325 - 2.57262i) q^{9} +O(q^{10})\) \(q+(1.34022 - 0.451464i) q^{2} +(1.50719 - 0.853450i) q^{3} +(1.59236 - 1.21012i) q^{4} +(0.248693 - 0.683279i) q^{5} +(1.63466 - 1.82425i) q^{6} +(-0.984808 - 0.173648i) q^{7} +(1.58778 - 2.34072i) q^{8} +(1.54325 - 2.57262i) q^{9} +(0.0248268 - 1.02802i) q^{10} +(0.984832 - 0.358450i) q^{11} +(1.36721 - 3.18288i) q^{12} +(-2.69961 + 2.26524i) q^{13} +(-1.39825 + 0.211879i) q^{14} +(-0.208316 - 1.24208i) q^{15} +(1.07122 - 3.85389i) q^{16} +(-3.34338 + 1.93030i) q^{17} +(0.906838 - 4.14459i) q^{18} +(2.50054 + 1.44369i) q^{19} +(-0.430840 - 1.38897i) q^{20} +(-1.63249 + 0.578763i) q^{21} +(1.15806 - 0.925017i) q^{22} +(-0.0714328 - 0.405115i) q^{23} +(0.395407 - 4.88300i) q^{24} +(3.42520 + 2.87408i) q^{25} +(-2.59539 + 4.25469i) q^{26} +(0.130362 - 5.19452i) q^{27} +(-1.77830 + 0.915224i) q^{28} +(-2.28576 + 2.72407i) q^{29} +(-0.839943 - 1.57061i) q^{30} +(-3.49380 + 0.616051i) q^{31} +(-0.304224 - 5.64867i) q^{32} +(1.17841 - 1.38076i) q^{33} +(-3.60939 + 4.09644i) q^{34} +(-0.363565 + 0.629713i) q^{35} +(-0.655776 - 5.96406i) q^{36} +(3.18251 + 5.51226i) q^{37} +(4.00304 + 0.805949i) q^{38} +(-2.13556 + 5.71814i) q^{39} +(-1.20449 - 1.66702i) q^{40} +(5.89415 + 7.02437i) q^{41} +(-1.92660 + 1.51268i) q^{42} +(-2.35770 - 6.47772i) q^{43} +(1.13444 - 1.76255i) q^{44} +(-1.37402 - 1.69426i) q^{45} +(-0.278630 - 0.510693i) q^{46} +(1.21462 - 6.88845i) q^{47} +(-1.67457 - 6.72278i) q^{48} +(0.939693 + 0.342020i) q^{49} +(5.88806 + 2.30554i) q^{50} +(-3.39170 + 5.76274i) q^{51} +(-1.55754 + 6.87394i) q^{52} -3.48243i q^{53} +(-2.17042 - 7.02063i) q^{54} -0.762059i q^{55} +(-1.97012 + 2.02944i) q^{56} +(5.00090 + 0.0418266i) q^{57} +(-1.83360 + 4.68278i) q^{58} +(10.3538 + 3.76847i) q^{59} +(-1.83478 - 1.72575i) q^{60} +(-0.816663 + 4.63153i) q^{61} +(-4.40432 + 2.40297i) q^{62} +(-1.96653 + 2.26556i) q^{63} +(-2.95790 - 7.43309i) q^{64} +(0.876418 + 2.40794i) q^{65} +(0.955964 - 2.38252i) q^{66} +(-5.92692 - 7.06343i) q^{67} +(-2.98797 + 7.11963i) q^{68} +(-0.453409 - 0.549622i) q^{69} +(-0.202963 + 1.00809i) q^{70} +(0.261119 + 0.452272i) q^{71} +(-3.57144 - 7.69707i) q^{72} +(-7.28712 + 12.6217i) q^{73} +(6.75383 + 5.95084i) q^{74} +(7.61532 + 1.40856i) q^{75} +(5.72879 - 0.727081i) q^{76} +(-1.03211 + 0.181990i) q^{77} +(-0.280576 + 8.62767i) q^{78} +(-7.06066 + 8.41457i) q^{79} +(-2.36688 - 1.69038i) q^{80} +(-4.23678 - 7.94038i) q^{81} +(11.0707 + 6.75318i) q^{82} +(4.99177 + 4.18859i) q^{83} +(-1.89914 + 2.89711i) q^{84} +(0.487459 + 2.76452i) q^{85} +(-6.08428 - 7.61713i) q^{86} +(-1.12023 + 6.05647i) q^{87} +(0.724670 - 2.87435i) q^{88} +(-4.22928 - 2.44177i) q^{89} +(-2.60639 - 1.65036i) q^{90} +(3.05195 - 1.76205i) q^{91} +(-0.603985 - 0.558648i) q^{92} +(-4.74005 + 3.91029i) q^{93} +(-1.48204 - 9.78037i) q^{94} +(1.60831 - 1.34953i) q^{95} +(-5.27938 - 8.25398i) q^{96} +(-0.917605 + 0.333981i) q^{97} +(1.41380 + 0.0341435i) q^{98} +(0.597683 - 3.08678i) 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 \(\left(\mathbb{Z}/756\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(325\) \(379\)
\(\chi(n)\) \(e\left(\frac{13}{18}\right)\) \(1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.34022 0.451464i 0.947676 0.319233i
\(3\) 1.50719 0.853450i 0.870177 0.492739i
\(4\) 1.59236 1.21012i 0.796180 0.605060i
\(5\) 0.248693 0.683279i 0.111219 0.305572i −0.871579 0.490255i \(-0.836904\pi\)
0.982798 + 0.184683i \(0.0591259\pi\)
\(6\) 1.63466 1.82425i 0.667347 0.744747i
\(7\) −0.984808 0.173648i −0.372222 0.0656328i
\(8\) 1.58778 2.34072i 0.561366 0.827568i
\(9\) 1.54325 2.57262i 0.514416 0.857541i
\(10\) 0.0248268 1.02802i 0.00785092 0.325088i
\(11\) 0.984832 0.358450i 0.296938 0.108077i −0.189255 0.981928i \(-0.560607\pi\)
0.486193 + 0.873851i \(0.338385\pi\)
\(12\) 1.36721 3.18288i 0.394681 0.918818i
\(13\) −2.69961 + 2.26524i −0.748738 + 0.628265i −0.935169 0.354203i \(-0.884752\pi\)
0.186431 + 0.982468i \(0.440308\pi\)
\(14\) −1.39825 + 0.211879i −0.373698 + 0.0566271i
\(15\) −0.208316 1.24208i −0.0537870 0.320703i
\(16\) 1.07122 3.85389i 0.267806 0.963473i
\(17\) −3.34338 + 1.93030i −0.810889 + 0.468167i −0.847265 0.531171i \(-0.821752\pi\)
0.0363753 + 0.999338i \(0.488419\pi\)
\(18\) 0.906838 4.14459i 0.213744 0.976890i
\(19\) 2.50054 + 1.44369i 0.573663 + 0.331204i 0.758611 0.651544i \(-0.225878\pi\)
−0.184948 + 0.982748i \(0.559212\pi\)
\(20\) −0.430840 1.38897i −0.0963387 0.310584i
\(21\) −1.63249 + 0.578763i −0.356239 + 0.126296i
\(22\) 1.15806 0.925017i 0.246900 0.197214i
\(23\) −0.0714328 0.405115i −0.0148948 0.0844724i 0.976454 0.215725i \(-0.0692113\pi\)
−0.991349 + 0.131252i \(0.958100\pi\)
\(24\) 0.395407 4.88300i 0.0807121 0.996737i
\(25\) 3.42520 + 2.87408i 0.685040 + 0.574817i
\(26\) −2.59539 + 4.25469i −0.508998 + 0.834414i
\(27\) 0.130362 5.19452i 0.0250882 0.999685i
\(28\) −1.77830 + 0.915224i −0.336068 + 0.172961i
\(29\) −2.28576 + 2.72407i −0.424455 + 0.505846i −0.935314 0.353818i \(-0.884883\pi\)
0.510859 + 0.859665i \(0.329328\pi\)
\(30\) −0.839943 1.57061i −0.153352 0.286752i
\(31\) −3.49380 + 0.616051i −0.627504 + 0.110646i −0.478352 0.878168i \(-0.658766\pi\)
−0.149153 + 0.988814i \(0.547655\pi\)
\(32\) −0.304224 5.64867i −0.0537797 0.998553i
\(33\) 1.17841 1.38076i 0.205135 0.240359i
\(34\) −3.60939 + 4.09644i −0.619006 + 0.702534i
\(35\) −0.363565 + 0.629713i −0.0614537 + 0.106441i
\(36\) −0.655776 5.96406i −0.109296 0.994009i
\(37\) 3.18251 + 5.51226i 0.523201 + 0.906210i 0.999635 + 0.0270003i \(0.00859552\pi\)
−0.476435 + 0.879210i \(0.658071\pi\)
\(38\) 4.00304 + 0.805949i 0.649378 + 0.130742i
\(39\) −2.13556 + 5.71814i −0.341963 + 0.915635i
\(40\) −1.20449 1.66702i −0.190447 0.263579i
\(41\) 5.89415 + 7.02437i 0.920511 + 1.09702i 0.995007 + 0.0998011i \(0.0318207\pi\)
−0.0744963 + 0.997221i \(0.523735\pi\)
\(42\) −1.92660 + 1.51268i −0.297281 + 0.233412i
\(43\) −2.35770 6.47772i −0.359545 0.987843i −0.979187 0.202958i \(-0.934944\pi\)
0.619642 0.784885i \(-0.287278\pi\)
\(44\) 1.13444 1.76255i 0.171023 0.265714i
\(45\) −1.37402 1.69426i −0.204827 0.252566i
\(46\) −0.278630 0.510693i −0.0410818 0.0752976i
\(47\) 1.21462 6.88845i 0.177171 1.00478i −0.758438 0.651745i \(-0.774037\pi\)
0.935609 0.353039i \(-0.114852\pi\)
\(48\) −1.67457 6.72278i −0.241703 0.970350i
\(49\) 0.939693 + 0.342020i 0.134242 + 0.0488600i
\(50\) 5.88806 + 2.30554i 0.832697 + 0.326053i
\(51\) −3.39170 + 5.76274i −0.474933 + 0.806945i
\(52\) −1.55754 + 6.87394i −0.215992 + 0.953243i
\(53\) 3.48243i 0.478348i −0.970977 0.239174i \(-0.923123\pi\)
0.970977 0.239174i \(-0.0768767\pi\)
\(54\) −2.17042 7.02063i −0.295357 0.955387i
\(55\) 0.762059i 0.102756i
\(56\) −1.97012 + 2.02944i −0.263268 + 0.271195i
\(57\) 5.00090 + 0.0418266i 0.662386 + 0.00554007i
\(58\) −1.83360 + 4.68278i −0.240763 + 0.614879i
\(59\) 10.3538 + 3.76847i 1.34795 + 0.490613i 0.912307 0.409508i \(-0.134300\pi\)
0.435641 + 0.900121i \(0.356522\pi\)
\(60\) −1.83478 1.72575i −0.236869 0.222793i
\(61\) −0.816663 + 4.63153i −0.104563 + 0.593006i 0.886831 + 0.462094i \(0.152902\pi\)
−0.991394 + 0.130912i \(0.958209\pi\)
\(62\) −4.40432 + 2.40297i −0.559349 + 0.305177i
\(63\) −1.96653 + 2.26556i −0.247760 + 0.285433i
\(64\) −2.95790 7.43309i −0.369737 0.929136i
\(65\) 0.876418 + 2.40794i 0.108706 + 0.298668i
\(66\) 0.955964 2.38252i 0.117671 0.293268i
\(67\) −5.92692 7.06343i −0.724088 0.862935i 0.270933 0.962598i \(-0.412668\pi\)
−0.995021 + 0.0996634i \(0.968223\pi\)
\(68\) −2.98797 + 7.11963i −0.362345 + 0.863382i
\(69\) −0.453409 0.549622i −0.0545840 0.0661667i
\(70\) −0.202963 + 1.00809i −0.0242587 + 0.120490i
\(71\) 0.261119 + 0.452272i 0.0309892 + 0.0536748i 0.881104 0.472922i \(-0.156801\pi\)
−0.850115 + 0.526597i \(0.823468\pi\)
\(72\) −3.57144 7.69707i −0.420898 0.907108i
\(73\) −7.28712 + 12.6217i −0.852893 + 1.47725i 0.0256935 + 0.999670i \(0.491821\pi\)
−0.878586 + 0.477584i \(0.841513\pi\)
\(74\) 6.75383 + 5.95084i 0.785117 + 0.691771i
\(75\) 7.61532 + 1.40856i 0.879341 + 0.162646i
\(76\) 5.72879 0.727081i 0.657137 0.0834019i
\(77\) −1.03211 + 0.181990i −0.117620 + 0.0207396i
\(78\) −0.280576 + 8.62767i −0.0317690 + 0.976891i
\(79\) −7.06066 + 8.41457i −0.794387 + 0.946713i −0.999487 0.0320280i \(-0.989803\pi\)
0.205100 + 0.978741i \(0.434248\pi\)
\(80\) −2.36688 1.69038i −0.264625 0.188990i
\(81\) −4.23678 7.94038i −0.470753 0.882265i
\(82\) 11.0707 + 6.75318i 1.22255 + 0.745764i
\(83\) 4.99177 + 4.18859i 0.547918 + 0.459758i 0.874235 0.485503i \(-0.161363\pi\)
−0.326317 + 0.945260i \(0.605808\pi\)
\(84\) −1.89914 + 2.89711i −0.207214 + 0.316101i
\(85\) 0.487459 + 2.76452i 0.0528723 + 0.299854i
\(86\) −6.08428 7.61713i −0.656085 0.821376i
\(87\) −1.12023 + 6.05647i −0.120101 + 0.649322i
\(88\) 0.724670 2.87435i 0.0772501 0.306407i
\(89\) −4.22928 2.44177i −0.448302 0.258827i 0.258811 0.965928i \(-0.416669\pi\)
−0.707113 + 0.707101i \(0.750003\pi\)
\(90\) −2.60639 1.65036i −0.274737 0.173963i
\(91\) 3.05195 1.76205i 0.319932 0.184713i
\(92\) −0.603985 0.558648i −0.0629698 0.0582430i
\(93\) −4.74005 + 3.91029i −0.491520 + 0.405478i
\(94\) −1.48204 9.78037i −0.152860 1.00877i
\(95\) 1.60831 1.34953i 0.165009 0.138459i
\(96\) −5.27938 8.25398i −0.538824 0.842418i
\(97\) −0.917605 + 0.333981i −0.0931687 + 0.0339106i −0.388184 0.921582i \(-0.626897\pi\)
0.295015 + 0.955493i \(0.404675\pi\)
\(98\) 1.41380 + 0.0341435i 0.142816 + 0.00344901i
\(99\) 0.597683 3.08678i 0.0600694 0.310233i
\(100\) 8.93214 + 0.431677i 0.893214 + 0.0431677i
\(101\) −14.3227 2.52548i −1.42516 0.251295i −0.592723 0.805407i \(-0.701947\pi\)
−0.832442 + 0.554112i \(0.813058\pi\)
\(102\) −1.94394 + 9.25455i −0.192478 + 0.916337i
\(103\) 1.98154 5.44423i 0.195247 0.536436i −0.802977 0.596010i \(-0.796752\pi\)
0.998224 + 0.0595736i \(0.0189741\pi\)
\(104\) 1.01589 + 9.91574i 0.0996167 + 0.972318i
\(105\) −0.0105332 + 1.25938i −0.00102794 + 0.122903i
\(106\) −1.57219 4.66721i −0.152705 0.453319i
\(107\) 9.31331 0.900351 0.450176 0.892940i \(-0.351361\pi\)
0.450176 + 0.892940i \(0.351361\pi\)
\(108\) −6.07840 8.42930i −0.584894 0.811109i
\(109\) −2.72340 −0.260855 −0.130427 0.991458i \(-0.541635\pi\)
−0.130427 + 0.991458i \(0.541635\pi\)
\(110\) −0.344042 1.02132i −0.0328032 0.0973795i
\(111\) 9.50108 + 5.59192i 0.901803 + 0.530761i
\(112\) −1.72417 + 3.60933i −0.162919 + 0.341049i
\(113\) 4.84130 13.3014i 0.455431 1.25129i −0.473421 0.880836i \(-0.656981\pi\)
0.928852 0.370451i \(-0.120797\pi\)
\(114\) 6.72117 2.20167i 0.629496 0.206205i
\(115\) −0.294572 0.0519409i −0.0274690 0.00484352i
\(116\) −0.343313 + 7.10374i −0.0318758 + 0.659566i
\(117\) 1.66145 + 10.4409i 0.153601 + 0.965263i
\(118\) 15.5776 + 0.376202i 1.43404 + 0.0346322i
\(119\) 3.62778 1.32040i 0.332558 0.121041i
\(120\) −3.23811 1.48454i −0.295598 0.135519i
\(121\) −7.58508 + 6.36464i −0.689553 + 0.578603i
\(122\) 0.996463 + 6.57594i 0.0902155 + 0.595358i
\(123\) 14.8786 + 5.55671i 1.34155 + 0.501031i
\(124\) −4.81789 + 5.20889i −0.432659 + 0.467772i
\(125\) 5.96419 3.44343i 0.533454 0.307990i
\(126\) −1.61276 + 3.92416i −0.143676 + 0.349592i
\(127\) 17.2983 + 9.98715i 1.53497 + 0.886216i 0.999122 + 0.0419035i \(0.0133422\pi\)
0.535850 + 0.844313i \(0.319991\pi\)
\(128\) −7.32000 8.62657i −0.647002 0.762488i
\(129\) −9.08191 7.75098i −0.799617 0.682436i
\(130\) 2.26169 + 2.83149i 0.198363 + 0.248338i
\(131\) 0.132826 + 0.753293i 0.0116050 + 0.0658155i 0.990060 0.140643i \(-0.0449171\pi\)
−0.978455 + 0.206459i \(0.933806\pi\)
\(132\) 0.205575 3.62468i 0.0178930 0.315488i
\(133\) −2.21186 1.85597i −0.191792 0.160933i
\(134\) −11.1322 6.79073i −0.961679 0.586630i
\(135\) −3.51688 1.38091i −0.302685 0.118850i
\(136\) −0.790273 + 10.8908i −0.0677653 + 0.933879i
\(137\) 12.7684 15.2167i 1.09087 1.30005i 0.140110 0.990136i \(-0.455254\pi\)
0.950764 0.309917i \(-0.100301\pi\)
\(138\) −0.855800 0.531915i −0.0728505 0.0452796i
\(139\) −17.9157 + 3.15902i −1.51959 + 0.267945i −0.870272 0.492572i \(-0.836057\pi\)
−0.649318 + 0.760517i \(0.724946\pi\)
\(140\) 0.183102 + 1.44269i 0.0154749 + 0.121929i
\(141\) −4.04828 11.4188i −0.340927 0.961639i
\(142\) 0.554141 + 0.488256i 0.0465025 + 0.0409736i
\(143\) −1.84669 + 3.19856i −0.154428 + 0.267477i
\(144\) −8.26145 8.70336i −0.688454 0.725280i
\(145\) 1.29284 + 2.23927i 0.107365 + 0.185961i
\(146\) −4.06809 + 20.2056i −0.336677 + 1.67223i
\(147\) 1.70819 0.286491i 0.140889 0.0236294i
\(148\) 11.7382 + 4.92629i 0.964873 + 0.404939i
\(149\) 2.84105 + 3.38583i 0.232748 + 0.277378i 0.869759 0.493476i \(-0.164274\pi\)
−0.637011 + 0.770854i \(0.719830\pi\)
\(150\) 10.8421 1.55027i 0.885253 0.126579i
\(151\) −5.30291 14.5696i −0.431545 1.18566i −0.944864 0.327462i \(-0.893807\pi\)
0.513320 0.858197i \(-0.328415\pi\)
\(152\) 7.34957 3.56079i 0.596129 0.288818i
\(153\) −0.193723 + 11.5802i −0.0156615 + 0.936203i
\(154\) −1.30110 + 0.709868i −0.104845 + 0.0572028i
\(155\) −0.447949 + 2.54045i −0.0359801 + 0.204054i
\(156\) 3.51905 + 11.6896i 0.281750 + 0.935918i
\(157\) −3.80207 1.38384i −0.303439 0.110443i 0.185813 0.982585i \(-0.440508\pi\)
−0.489252 + 0.872142i \(0.662730\pi\)
\(158\) −5.66394 + 14.4650i −0.450599 + 1.15077i
\(159\) −2.97208 5.24868i −0.235701 0.416248i
\(160\) −3.93527 1.19692i −0.311111 0.0946245i
\(161\) 0.411365i 0.0324201i
\(162\) −9.26300 8.72908i −0.727770 0.685821i
\(163\) 3.62747i 0.284125i 0.989858 + 0.142063i \(0.0453735\pi\)
−0.989858 + 0.142063i \(0.954627\pi\)
\(164\) 17.8859 + 4.05271i 1.39666 + 0.316463i
\(165\) −0.650379 1.14857i −0.0506320 0.0894159i
\(166\) 8.58105 + 3.36001i 0.666019 + 0.260788i
\(167\) −19.6071 7.13638i −1.51724 0.552230i −0.556782 0.830658i \(-0.687964\pi\)
−0.960457 + 0.278428i \(0.910186\pi\)
\(168\) −1.23732 + 4.74015i −0.0954615 + 0.365711i
\(169\) −0.100849 + 0.571944i −0.00775763 + 0.0439957i
\(170\) 1.90138 + 3.48498i 0.145829 + 0.267286i
\(171\) 7.57301 4.20498i 0.579122 0.321563i
\(172\) −11.5931 7.46177i −0.883967 0.568954i
\(173\) 3.22569 + 8.86251i 0.245245 + 0.673804i 0.999845 + 0.0176191i \(0.00560864\pi\)
−0.754600 + 0.656185i \(0.772169\pi\)
\(174\) 1.23293 + 8.62272i 0.0934684 + 0.653687i
\(175\) −2.87408 3.42520i −0.217260 0.258921i
\(176\) −0.326452 4.17942i −0.0246072 0.315035i
\(177\) 18.8213 3.15663i 1.41470 0.237267i
\(178\) −6.77052 1.36314i −0.507472 0.102172i
\(179\) 3.84045 + 6.65186i 0.287049 + 0.497183i 0.973104 0.230366i \(-0.0739924\pi\)
−0.686055 + 0.727550i \(0.740659\pi\)
\(180\) −4.23820 1.03514i −0.315897 0.0771549i
\(181\) −9.00700 + 15.6006i −0.669485 + 1.15958i 0.308563 + 0.951204i \(0.400152\pi\)
−0.978048 + 0.208378i \(0.933182\pi\)
\(182\) 3.29478 3.73937i 0.244225 0.277181i
\(183\) 2.72191 + 7.67758i 0.201209 + 0.567543i
\(184\) −1.06168 0.476031i −0.0782681 0.0350935i
\(185\) 4.55788 0.803677i 0.335102 0.0590875i
\(186\) −4.58734 + 7.38059i −0.336360 + 0.541171i
\(187\) −2.60075 + 3.09946i −0.190186 + 0.226655i
\(188\) −6.40174 12.4387i −0.466895 0.907188i
\(189\) −1.03040 + 5.09296i −0.0749506 + 0.370459i
\(190\) 1.54622 2.53476i 0.112174 0.183891i
\(191\) 5.50799 + 4.62175i 0.398544 + 0.334418i 0.819931 0.572463i \(-0.194012\pi\)
−0.421387 + 0.906881i \(0.638456\pi\)
\(192\) −10.8019 8.67867i −0.779559 0.626329i
\(193\) 0.290998 + 1.65033i 0.0209465 + 0.118794i 0.993488 0.113935i \(-0.0363456\pi\)
−0.972542 + 0.232729i \(0.925235\pi\)
\(194\) −1.07901 + 0.861872i −0.0774683 + 0.0618788i
\(195\) 3.37598 + 2.88124i 0.241759 + 0.206330i
\(196\) 1.91021 0.592521i 0.136444 0.0423229i
\(197\) −7.81292 4.51079i −0.556648 0.321381i 0.195151 0.980773i \(-0.437480\pi\)
−0.751799 + 0.659392i \(0.770814\pi\)
\(198\) −0.592545 4.40678i −0.0421103 0.313177i
\(199\) −8.16891 + 4.71632i −0.579078 + 0.334331i −0.760767 0.649025i \(-0.775177\pi\)
0.181689 + 0.983356i \(0.441844\pi\)
\(200\) 12.1659 3.45400i 0.860258 0.244235i
\(201\) −14.9613 5.58760i −1.05529 0.394119i
\(202\) −20.3357 + 3.08150i −1.43082 + 0.216814i
\(203\) 2.72407 2.28576i 0.191192 0.160429i
\(204\) 1.57280 + 13.2807i 0.110118 + 0.929837i
\(205\) 6.26544 2.28043i 0.437597 0.159272i
\(206\) 0.197815 8.19105i 0.0137824 0.570697i
\(207\) −1.15245 0.441423i −0.0801007 0.0306811i
\(208\) 5.83812 + 12.8306i 0.404801 + 0.889641i
\(209\) 2.98010 + 0.525472i 0.206138 + 0.0363477i
\(210\) 0.554449 + 1.69260i 0.0382606 + 0.116801i
\(211\) 2.81564 7.73591i 0.193837 0.532562i −0.804257 0.594282i \(-0.797436\pi\)
0.998094 + 0.0617199i \(0.0196585\pi\)
\(212\) −4.21415 5.54528i −0.289429 0.380852i
\(213\) 0.779548 + 0.458808i 0.0534137 + 0.0314370i
\(214\) 12.4818 4.20462i 0.853241 0.287422i
\(215\) −5.01243 −0.341845
\(216\) −11.9519 8.55290i −0.813224 0.581951i
\(217\) 3.54769 0.240833
\(218\) −3.64995 + 1.22952i −0.247206 + 0.0832735i
\(219\) −0.211123 + 25.2424i −0.0142664 + 1.70573i
\(220\) −0.922183 1.21347i −0.0621735 0.0818123i
\(221\) 4.65323 12.7846i 0.313010 0.859988i
\(222\) 15.2581 + 3.20498i 1.02405 + 0.215105i
\(223\) −16.0755 2.83455i −1.07650 0.189815i −0.392831 0.919611i \(-0.628504\pi\)
−0.683666 + 0.729795i \(0.739615\pi\)
\(224\) −0.681279 + 5.61568i −0.0455198 + 0.375213i
\(225\) 12.6799 4.37633i 0.845324 0.291755i
\(226\) 0.483302 20.0124i 0.0321488 1.33120i
\(227\) 26.8191 9.76135i 1.78005 0.647883i 0.780298 0.625408i \(-0.215068\pi\)
0.999747 0.0224753i \(-0.00715471\pi\)
\(228\) 8.01385 5.98509i 0.530730 0.396372i
\(229\) 2.76139 2.31708i 0.182478 0.153117i −0.546973 0.837150i \(-0.684220\pi\)
0.729451 + 0.684033i \(0.239776\pi\)
\(230\) −0.418239 + 0.0633765i −0.0275779 + 0.00417892i
\(231\) −1.40027 + 1.15515i −0.0921313 + 0.0760034i
\(232\) 2.74697 + 9.67554i 0.180347 + 0.635230i
\(233\) −13.0504 + 7.53464i −0.854959 + 0.493611i −0.862321 0.506362i \(-0.830990\pi\)
0.00736188 + 0.999973i \(0.497657\pi\)
\(234\) 6.94040 + 13.2430i 0.453708 + 0.865722i
\(235\) −4.40467 2.54304i −0.287329 0.165889i
\(236\) 21.0472 6.52855i 1.37006 0.424972i
\(237\) −3.46035 + 18.7083i −0.224774 + 1.21523i
\(238\) 4.26590 3.40744i 0.276517 0.220872i
\(239\) −0.946882 5.37003i −0.0612487 0.347359i −0.999996 0.00275286i \(-0.999124\pi\)
0.938748 0.344606i \(-0.111987\pi\)
\(240\) −5.00999 0.527714i −0.323394 0.0340638i
\(241\) −15.1510 12.7132i −0.975960 0.818928i 0.00751472 0.999972i \(-0.497608\pi\)
−0.983475 + 0.181044i \(0.942052\pi\)
\(242\) −7.29224 + 11.9544i −0.468763 + 0.768457i
\(243\) −13.1624 8.35179i −0.844365 0.535768i
\(244\) 4.30428 + 8.36332i 0.275553 + 0.535407i
\(245\) 0.467390 0.557014i 0.0298605 0.0355863i
\(246\) 22.4491 + 0.730057i 1.43130 + 0.0465468i
\(247\) −10.0208 + 1.76693i −0.637607 + 0.112427i
\(248\) −4.10539 + 9.15614i −0.260692 + 0.581415i
\(249\) 11.0983 + 2.05278i 0.703326 + 0.130090i
\(250\) 6.43872 7.30756i 0.407221 0.462171i
\(251\) −5.83678 + 10.1096i −0.368414 + 0.638112i −0.989318 0.145775i \(-0.953432\pi\)
0.620904 + 0.783887i \(0.286766\pi\)
\(252\) −0.389834 + 5.98732i −0.0245572 + 0.377166i
\(253\) −0.215563 0.373366i −0.0135523 0.0234733i
\(254\) 27.6922 + 5.57540i 1.73757 + 0.349832i
\(255\) 3.09407 + 3.75063i 0.193758 + 0.234874i
\(256\) −13.7050 8.25675i −0.856560 0.516047i
\(257\) 0.647983 + 0.772236i 0.0404201 + 0.0481708i 0.785876 0.618384i \(-0.212213\pi\)
−0.745456 + 0.666555i \(0.767768\pi\)
\(258\) −15.6710 6.28784i −0.975634 0.391464i
\(259\) −2.17696 5.98115i −0.135270 0.371651i
\(260\) 4.30947 + 2.77374i 0.267262 + 0.172020i
\(261\) 3.48050 + 10.0843i 0.215437 + 0.624203i
\(262\) 0.518100 + 0.949609i 0.0320083 + 0.0586670i
\(263\) 1.86729 10.5900i 0.115142 0.653004i −0.871537 0.490329i \(-0.836877\pi\)
0.986680 0.162675i \(-0.0520123\pi\)
\(264\) −1.36090 4.95067i −0.0837575 0.304692i
\(265\) −2.37947 0.866057i −0.146170 0.0532014i
\(266\) −3.80227 1.48882i −0.233132 0.0912857i
\(267\) −8.45826 0.0707432i −0.517637 0.00432941i
\(268\) −17.9854 4.07524i −1.09863 0.248935i
\(269\) 10.0897i 0.615181i 0.951519 + 0.307590i \(0.0995227\pi\)
−0.951519 + 0.307590i \(0.900477\pi\)
\(270\) −5.33682 0.262978i −0.324789 0.0160043i
\(271\) 10.3634i 0.629533i 0.949169 + 0.314767i \(0.101926\pi\)
−0.949169 + 0.314767i \(0.898074\pi\)
\(272\) 3.85767 + 14.9528i 0.233906 + 0.906648i
\(273\) 3.09606 5.26043i 0.187382 0.318376i
\(274\) 10.2425 26.1582i 0.618775 1.58027i
\(275\) 4.40346 + 1.60273i 0.265539 + 0.0966482i
\(276\) −1.38710 0.326518i −0.0834935 0.0196541i
\(277\) 1.61968 9.18565i 0.0973170 0.551912i −0.896696 0.442648i \(-0.854039\pi\)
0.994013 0.109265i \(-0.0348496\pi\)
\(278\) −22.5847 + 12.3221i −1.35454 + 0.739029i
\(279\) −3.80692 + 9.93894i −0.227915 + 0.595029i
\(280\) 0.896718 + 1.85085i 0.0535891 + 0.110609i
\(281\) −6.90420 18.9691i −0.411870 1.13160i −0.956195 0.292729i \(-0.905437\pi\)
0.544326 0.838874i \(-0.316786\pi\)
\(282\) −10.5808 13.4760i −0.630076 0.802487i
\(283\) −2.81653 3.35661i −0.167425 0.199530i 0.675808 0.737078i \(-0.263795\pi\)
−0.843233 + 0.537548i \(0.819351\pi\)
\(284\) 0.963099 + 0.404194i 0.0571494 + 0.0239845i
\(285\) 1.27227 3.40661i 0.0753628 0.201790i
\(286\) −1.03093 + 5.12048i −0.0609601 + 0.302780i
\(287\) −4.58483 7.94116i −0.270634 0.468752i
\(288\) −15.0014 7.93463i −0.883965 0.467553i
\(289\) −1.04786 + 1.81495i −0.0616390 + 0.106762i
\(290\) 2.74364 + 2.41743i 0.161112 + 0.141957i
\(291\) −1.09797 + 1.28650i −0.0643641 + 0.0754161i
\(292\) 3.67000 + 28.9165i 0.214770 + 1.69221i
\(293\) 16.4076 2.89309i 0.958540 0.169016i 0.327573 0.944826i \(-0.393769\pi\)
0.630967 + 0.775810i \(0.282658\pi\)
\(294\) 2.16001 1.15515i 0.125974 0.0673696i
\(295\) 5.14983 6.13733i 0.299835 0.357329i
\(296\) 17.9558 + 1.30293i 1.04366 + 0.0757312i
\(297\) −1.73359 5.16246i −0.100593 0.299556i
\(298\) 5.33620 + 3.25511i 0.309118 + 0.188564i
\(299\) 1.11053 + 0.931842i 0.0642234 + 0.0538898i
\(300\) 13.8308 6.97251i 0.798524 0.402558i
\(301\) 1.19703 + 6.78872i 0.0689959 + 0.391295i
\(302\) −13.6847 17.1324i −0.787467 0.985857i
\(303\) −23.7425 + 8.41735i −1.36397 + 0.483564i
\(304\) 8.24245 8.09030i 0.472737 0.464010i
\(305\) 2.96153 + 1.70984i 0.169577 + 0.0979051i
\(306\) 4.96841 + 15.6074i 0.284025 + 0.892217i
\(307\) 3.18530 1.83903i 0.181795 0.104959i −0.406341 0.913722i \(-0.633195\pi\)
0.588136 + 0.808762i \(0.299862\pi\)
\(308\) −1.42327 + 1.53877i −0.0810983 + 0.0876798i
\(309\) −1.65982 9.89664i −0.0944241 0.563000i
\(310\) 0.546571 + 3.60698i 0.0310432 + 0.204863i
\(311\) 24.8947 20.8891i 1.41165 1.18451i 0.456011 0.889974i \(-0.349278\pi\)
0.955639 0.294541i \(-0.0951667\pi\)
\(312\) 9.99373 + 14.0779i 0.565784 + 0.797003i
\(313\) 9.66614 3.51819i 0.546363 0.198860i −0.0540669 0.998537i \(-0.517218\pi\)
0.600430 + 0.799678i \(0.294996\pi\)
\(314\) −5.72036 0.138147i −0.322818 0.00779611i
\(315\) 1.05894 + 1.90712i 0.0596648 + 0.107454i
\(316\) −1.06048 + 21.9433i −0.0596569 + 1.23441i
\(317\) −7.62546 1.34457i −0.428288 0.0755188i −0.0446510 0.999003i \(-0.514218\pi\)
−0.383637 + 0.923484i \(0.625329\pi\)
\(318\) −6.35282 5.69259i −0.356249 0.319224i
\(319\) −1.27465 + 3.50208i −0.0713668 + 0.196079i
\(320\) −5.81448 + 0.172509i −0.325040 + 0.00964357i
\(321\) 14.0369 7.94844i 0.783465 0.443639i
\(322\) 0.185717 + 0.551318i 0.0103496 + 0.0307238i
\(323\) −11.1470 −0.620236
\(324\) −16.3553 7.51694i −0.908627 0.417608i
\(325\) −15.7572 −0.874053
\(326\) 1.63767 + 4.86160i 0.0907023 + 0.269259i
\(327\) −4.10469 + 2.32429i −0.226990 + 0.128533i
\(328\) 25.8007 2.64335i 1.42460 0.145955i
\(329\) −2.39233 + 6.57288i −0.131894 + 0.362375i
\(330\) −1.39019 1.24571i −0.0765273 0.0685739i
\(331\) −28.1077 4.95615i −1.54494 0.272415i −0.664761 0.747056i \(-0.731467\pi\)
−0.880179 + 0.474642i \(0.842578\pi\)
\(332\) 13.0174 + 0.629111i 0.714422 + 0.0345269i
\(333\) 19.0924 + 0.319392i 1.04625 + 0.0175026i
\(334\) −29.4995 0.712418i −1.61414 0.0389818i
\(335\) −6.30028 + 2.29311i −0.344221 + 0.125286i
\(336\) 0.481727 + 6.91144i 0.0262804 + 0.377050i
\(337\) 24.6644 20.6959i 1.34356 1.12738i 0.362860 0.931844i \(-0.381800\pi\)
0.980697 0.195534i \(-0.0626441\pi\)
\(338\) 0.123053 + 0.812059i 0.00669318 + 0.0441702i
\(339\) −4.05528 24.1795i −0.220253 1.31325i
\(340\) 4.12160 + 3.81222i 0.223525 + 0.206747i
\(341\) −3.21998 + 1.85906i −0.174372 + 0.100674i
\(342\) 8.25107 9.05452i 0.446167 0.489613i
\(343\) −0.866025 0.500000i −0.0467610 0.0269975i
\(344\) −18.9060 4.76651i −1.01934 0.256993i
\(345\) −0.488305 + 0.173117i −0.0262894 + 0.00932032i
\(346\) 8.32423 + 10.4214i 0.447513 + 0.560258i
\(347\) −4.30964 24.4412i −0.231354 1.31207i −0.850158 0.526528i \(-0.823494\pi\)
0.618804 0.785545i \(-0.287617\pi\)
\(348\) 5.54525 + 10.9997i 0.297256 + 0.589645i
\(349\) −11.5464 9.68854i −0.618062 0.518616i 0.279132 0.960253i \(-0.409953\pi\)
−0.897194 + 0.441637i \(0.854398\pi\)
\(350\) −5.39825 3.29296i −0.288549 0.176016i
\(351\) 11.4149 + 14.3185i 0.609283 + 0.764264i
\(352\) −2.32437 5.45394i −0.123889 0.290696i
\(353\) 14.0039 16.6892i 0.745351 0.888275i −0.251477 0.967863i \(-0.580916\pi\)
0.996828 + 0.0795883i \(0.0253606\pi\)
\(354\) 23.7995 12.7277i 1.26493 0.676471i
\(355\) 0.373967 0.0659404i 0.0198481 0.00349975i
\(356\) −9.68937 + 1.22975i −0.513535 + 0.0651764i
\(357\) 4.34086 5.08623i 0.229743 0.269192i
\(358\) 8.15012 + 7.18111i 0.430747 + 0.379533i
\(359\) −5.37670 + 9.31272i −0.283771 + 0.491507i −0.972311 0.233693i \(-0.924919\pi\)
0.688539 + 0.725199i \(0.258252\pi\)
\(360\) −6.14744 + 0.526081i −0.323998 + 0.0277269i
\(361\) −5.33154 9.23449i −0.280607 0.486026i
\(362\) −5.02823 + 24.9745i −0.264278 + 1.31263i
\(363\) −6.00026 + 16.0662i −0.314932 + 0.843257i
\(364\) 2.72752 6.49904i 0.142961 0.340642i
\(365\) 6.81186 + 8.11806i 0.356549 + 0.424919i
\(366\) 7.11410 + 9.06077i 0.371860 + 0.473614i
\(367\) −1.58221 4.34709i −0.0825908 0.226916i 0.891523 0.452976i \(-0.149638\pi\)
−0.974113 + 0.226060i \(0.927416\pi\)
\(368\) −1.63779 0.158675i −0.0853758 0.00827148i
\(369\) 27.1672 4.32308i 1.41427 0.225051i
\(370\) 5.74571 3.13482i 0.298705 0.162972i
\(371\) −0.604717 + 3.42952i −0.0313954 + 0.178052i
\(372\) −2.81595 + 11.9626i −0.146000 + 0.620232i
\(373\) −7.64425 2.78228i −0.395804 0.144061i 0.136447 0.990647i \(-0.456432\pi\)
−0.532251 + 0.846586i \(0.678654\pi\)
\(374\) −2.08628 + 5.32809i −0.107879 + 0.275509i
\(375\) 6.05038 10.2800i 0.312440 0.530859i
\(376\) −14.1954 13.7804i −0.732069 0.710672i
\(377\) 12.5317i 0.645417i
\(378\) 0.918331 + 7.29086i 0.0472339 + 0.375001i
\(379\) 3.34192i 0.171663i 0.996310 + 0.0858315i \(0.0273547\pi\)
−0.996310 + 0.0858315i \(0.972645\pi\)
\(380\) 0.927913 4.09518i 0.0476009 0.210078i
\(381\) 34.5953 + 0.289348i 1.77237 + 0.0148238i
\(382\) 9.46845 + 3.70749i 0.484448 + 0.189692i
\(383\) −12.6137 4.59100i −0.644529 0.234589i −0.000986013 1.00000i \(-0.500314\pi\)
−0.643543 + 0.765410i \(0.722536\pi\)
\(384\) −18.3950 6.75463i −0.938714 0.344696i
\(385\) −0.132330 + 0.750482i −0.00674417 + 0.0382481i
\(386\) 1.13507 + 2.08043i 0.0577734 + 0.105891i
\(387\) −20.3032 3.93125i −1.03207 0.199837i
\(388\) −1.05700 + 1.64223i −0.0536611 + 0.0833716i
\(389\) −1.50596 4.13760i −0.0763554 0.209785i 0.895642 0.444775i \(-0.146716\pi\)
−0.971998 + 0.234990i \(0.924494\pi\)
\(390\) 5.82533 + 2.33735i 0.294977 + 0.118357i
\(391\) 1.02082 + 1.21657i 0.0516252 + 0.0615245i
\(392\) 2.29260 1.65650i 0.115794 0.0836659i
\(393\) 0.843091 + 1.02200i 0.0425283 + 0.0515528i
\(394\) −12.5075 2.51818i −0.630117 0.126864i
\(395\) 3.99356 + 6.91705i 0.200938 + 0.348034i
\(396\) −2.78364 5.63853i −0.139883 0.283347i
\(397\) −7.64138 + 13.2353i −0.383510 + 0.664259i −0.991561 0.129639i \(-0.958618\pi\)
0.608051 + 0.793898i \(0.291951\pi\)
\(398\) −8.81885 + 10.0089i −0.442049 + 0.501699i
\(399\) −4.91766 0.909589i −0.246191 0.0455364i
\(400\) 14.7456 10.1216i 0.737278 0.506078i
\(401\) 16.4477 2.90018i 0.821360 0.144828i 0.252851 0.967505i \(-0.418632\pi\)
0.568509 + 0.822677i \(0.307521\pi\)
\(402\) −22.5739 0.734116i −1.12589 0.0366144i
\(403\) 8.03639 9.57740i 0.400321 0.477084i
\(404\) −25.8631 + 13.3107i −1.28674 + 0.662234i
\(405\) −6.47916 + 0.920182i −0.321952 + 0.0457242i
\(406\) 2.61890 4.29323i 0.129974 0.213070i
\(407\) 5.11010 + 4.28789i 0.253298 + 0.212543i
\(408\) 8.10367 + 17.0890i 0.401191 + 0.846031i
\(409\) −5.92586 33.6073i −0.293015 1.66177i −0.675162 0.737670i \(-0.735926\pi\)
0.382146 0.924102i \(-0.375185\pi\)
\(410\) 7.36751 5.88490i 0.363855 0.290634i
\(411\) 6.25762 33.8317i 0.308666 1.66879i
\(412\) −3.43285 11.0671i −0.169124 0.545236i
\(413\) −9.54209 5.50913i −0.469536 0.271087i
\(414\) −1.74382 0.0713142i −0.0857039 0.00350490i
\(415\) 4.10340 2.36910i 0.201428 0.116294i
\(416\) 13.6169 + 14.5601i 0.667623 + 0.713866i
\(417\) −24.3063 + 20.0514i −1.19029 + 0.981921i
\(418\) 4.23121 0.641162i 0.206955 0.0313603i
\(419\) 0.298329 0.250328i 0.0145743 0.0122293i −0.635471 0.772124i \(-0.719194\pi\)
0.650046 + 0.759895i \(0.274750\pi\)
\(420\) 1.50723 + 2.01814i 0.0735453 + 0.0984750i
\(421\) 16.2670 5.92070i 0.792804 0.288557i 0.0863029 0.996269i \(-0.472495\pi\)
0.706501 + 0.707712i \(0.250272\pi\)
\(422\) 0.281082 11.6390i 0.0136829 0.566576i
\(423\) −15.8469 13.7553i −0.770504 0.668807i
\(424\) −8.15138 5.52934i −0.395866 0.268528i
\(425\) −16.9996 2.99749i −0.824602 0.145400i
\(426\) 1.25190 + 0.262964i 0.0606547 + 0.0127406i
\(427\) 1.60851 4.41935i 0.0778414 0.213867i
\(428\) 14.8301 11.2702i 0.716842 0.544766i
\(429\) −0.0535024 + 6.39690i −0.00258312 + 0.308845i
\(430\) −6.71774 + 2.26293i −0.323958 + 0.109128i
\(431\) 18.3668 0.884699 0.442349 0.896843i \(-0.354145\pi\)
0.442349 + 0.896843i \(0.354145\pi\)
\(432\) −19.8795 6.06688i −0.956451 0.291893i
\(433\) 24.7083 1.18741 0.593703 0.804684i \(-0.297665\pi\)
0.593703 + 0.804684i \(0.297665\pi\)
\(434\) 4.75468 1.60166i 0.228232 0.0768820i
\(435\) 3.85967 + 2.27163i 0.185057 + 0.108916i
\(436\) −4.33664 + 3.29564i −0.207687 + 0.157833i
\(437\) 0.406239 1.11613i 0.0194331 0.0533919i
\(438\) 11.1131 + 33.9256i 0.531005 + 1.62103i
\(439\) 16.9632 + 2.99107i 0.809610 + 0.142756i 0.563105 0.826386i \(-0.309607\pi\)
0.246505 + 0.969142i \(0.420718\pi\)
\(440\) −1.78376 1.20998i −0.0850376 0.0576837i
\(441\) 2.33007 1.88965i 0.110956 0.0899835i
\(442\) 0.464527 19.2350i 0.0220953 0.914914i
\(443\) −18.4726 + 6.72347i −0.877658 + 0.319441i −0.741264 0.671213i \(-0.765774\pi\)
−0.136394 + 0.990655i \(0.543551\pi\)
\(444\) 21.8960 2.59309i 1.03914 0.123063i
\(445\) −2.72020 + 2.28252i −0.128950 + 0.108202i
\(446\) −22.8244 + 3.45861i −1.08077 + 0.163770i
\(447\) 7.17164 + 2.67840i 0.339207 + 0.126684i
\(448\) 1.62222 + 7.83380i 0.0766426 + 0.370112i
\(449\) −20.5121 + 11.8427i −0.968028 + 0.558891i −0.898635 0.438698i \(-0.855440\pi\)
−0.0693937 + 0.997589i \(0.522106\pi\)
\(450\) 15.0180 11.5897i 0.707956 0.546345i
\(451\) 8.32263 + 4.80507i 0.391897 + 0.226262i
\(452\) −8.38714 27.0391i −0.394498 1.27181i
\(453\) −20.4269 17.4334i −0.959741 0.819094i
\(454\) 31.5365 25.1902i 1.48008 1.18223i
\(455\) −0.444969 2.52355i −0.0208605 0.118306i
\(456\) 8.03825 11.6393i 0.376425 0.545059i
\(457\) 30.9648 + 25.9826i 1.44847 + 1.21541i 0.933684 + 0.358098i \(0.116574\pi\)
0.514790 + 0.857316i \(0.327870\pi\)
\(458\) 2.65478 4.35206i 0.124050 0.203359i
\(459\) 9.59114 + 17.6189i 0.447676 + 0.822380i
\(460\) −0.531919 + 0.273758i −0.0248009 + 0.0127640i
\(461\) 5.77679 6.88451i 0.269052 0.320644i −0.614554 0.788875i \(-0.710664\pi\)
0.883606 + 0.468231i \(0.155108\pi\)
\(462\) −1.35516 + 2.18033i −0.0630478 + 0.101438i
\(463\) −17.9951 + 3.17301i −0.836301 + 0.147462i −0.575368 0.817895i \(-0.695141\pi\)
−0.260933 + 0.965357i \(0.584030\pi\)
\(464\) 8.04969 + 11.7272i 0.373698 + 0.544420i
\(465\) 1.49300 + 4.21124i 0.0692361 + 0.195291i
\(466\) −14.0887 + 15.9898i −0.652647 + 0.740715i
\(467\) −3.15611 + 5.46654i −0.146047 + 0.252961i −0.929763 0.368158i \(-0.879989\pi\)
0.783716 + 0.621120i \(0.213322\pi\)
\(468\) 15.2804 + 14.6151i 0.706336 + 0.675585i
\(469\) 4.61032 + 7.98532i 0.212885 + 0.368728i
\(470\) −7.05130 1.41967i −0.325252 0.0654844i
\(471\) −6.91149 + 1.15917i −0.318465 + 0.0534116i
\(472\) 25.2605 18.2517i 1.16271 0.840105i
\(473\) −4.64387 5.53435i −0.213525 0.254470i
\(474\) 3.80850 + 26.6354i 0.174930 + 1.22340i
\(475\) 4.41557 + 12.1317i 0.202600 + 0.556639i
\(476\) 4.17889 6.49261i 0.191539 0.297588i
\(477\) −8.95898 5.37425i −0.410203 0.246070i
\(478\) −3.69340 6.76952i −0.168932 0.309631i
\(479\) 3.64187 20.6541i 0.166401 0.943708i −0.781207 0.624273i \(-0.785395\pi\)
0.947608 0.319436i \(-0.103493\pi\)
\(480\) −6.95272 + 1.55458i −0.317347 + 0.0709565i
\(481\) −21.0781 7.67182i −0.961081 0.349805i
\(482\) −26.0451 10.1983i −1.18632 0.464519i
\(483\) 0.351079 + 0.620005i 0.0159747 + 0.0282112i
\(484\) −4.37621 + 19.3136i −0.198919 + 0.877893i
\(485\) 0.710039i 0.0322412i
\(486\) −21.4109 5.25088i −0.971220 0.238185i
\(487\) 27.6894i 1.25473i −0.778726 0.627364i \(-0.784134\pi\)
0.778726 0.627364i \(-0.215866\pi\)
\(488\) 9.54440 + 9.26543i 0.432055 + 0.419426i
\(489\) 3.09586 + 5.46729i 0.140000 + 0.247239i
\(490\) 0.374932 0.957530i 0.0169377 0.0432568i
\(491\) −10.0658 3.66367i −0.454265 0.165339i 0.104746 0.994499i \(-0.466597\pi\)
−0.559011 + 0.829160i \(0.688819\pi\)
\(492\) 30.4163 9.15654i 1.37127 0.412809i
\(493\) 2.38391 13.5198i 0.107366 0.608901i
\(494\) −12.6323 + 6.89210i −0.568355 + 0.310090i
\(495\) −1.96049 1.17605i −0.0881175 0.0528593i
\(496\) −1.36844 + 14.1246i −0.0614448 + 0.634215i
\(497\) −0.178616 0.490744i −0.00801203 0.0220129i
\(498\) 15.8009 2.25931i 0.708054 0.101242i
\(499\) 15.0884 + 17.9816i 0.675448 + 0.804967i 0.989515 0.144434i \(-0.0461360\pi\)
−0.314067 + 0.949401i \(0.601692\pi\)
\(500\) 5.33018 12.7006i 0.238373 0.567986i
\(501\) −35.6421 + 5.97775i −1.59237 + 0.267066i
\(502\) −3.25843 + 16.1841i −0.145431 + 0.722334i
\(503\) −9.53287 16.5114i −0.425050 0.736207i 0.571375 0.820689i \(-0.306410\pi\)
−0.996425 + 0.0844813i \(0.973077\pi\)
\(504\) 2.18060 + 8.20030i 0.0971316 + 0.365271i
\(505\) −5.28758 + 9.15835i −0.235294 + 0.407541i
\(506\) −0.457462 0.403072i −0.0203367 0.0179187i
\(507\) 0.336127 + 0.948099i 0.0149279 + 0.0421066i
\(508\) 39.6307 5.02981i 1.75833 0.223162i
\(509\) −35.7698 + 6.30719i −1.58547 + 0.279561i −0.895764 0.444529i \(-0.853371\pi\)
−0.689705 + 0.724090i \(0.742260\pi\)
\(510\) 5.84000 + 3.62980i 0.258599 + 0.160730i
\(511\) 9.36814 11.1645i 0.414422 0.493889i
\(512\) −22.0952 4.87853i −0.976481 0.215603i
\(513\) 7.82523 12.8009i 0.345492 0.565173i
\(514\) 1.21707 + 0.742423i 0.0536829 + 0.0327469i
\(515\) −3.22714 2.70789i −0.142205 0.119324i
\(516\) −23.8413 1.35216i −1.04955 0.0595256i
\(517\) −1.27297 7.21935i −0.0559850 0.317507i
\(518\) −5.61788 7.03322i −0.246835 0.309022i
\(519\) 12.4254 + 10.6045i 0.545416 + 0.465487i
\(520\) 7.02786 + 1.77184i 0.308192 + 0.0777002i
\(521\) 9.69526 + 5.59756i 0.424757 + 0.245234i 0.697111 0.716964i \(-0.254469\pi\)
−0.272353 + 0.962197i \(0.587802\pi\)
\(522\) 9.21732 + 11.9438i 0.403431 + 0.522768i
\(523\) 15.9349 9.20004i 0.696786 0.402290i −0.109363 0.994002i \(-0.534881\pi\)
0.806149 + 0.591712i \(0.201548\pi\)
\(524\) 1.12308 + 1.03878i 0.0490620 + 0.0453792i
\(525\) −7.25503 2.70954i −0.316635 0.118254i
\(526\) −2.27841 15.0358i −0.0993432 0.655594i
\(527\) 10.4919 8.80378i 0.457036 0.383499i
\(528\) −4.05895 6.02057i −0.176643 0.262012i
\(529\) 21.4539 7.80859i 0.932779 0.339504i
\(530\) −3.58000 0.0864575i −0.155505 0.00375547i
\(531\) 25.6733 20.8207i 1.11413 0.903541i
\(532\) −5.76801 0.278759i −0.250075 0.0120857i
\(533\) −31.8238 5.61140i −1.37844 0.243057i
\(534\) −11.3678 + 3.72379i −0.491934 + 0.161144i
\(535\) 2.31616 6.36359i 0.100136 0.275122i
\(536\) −25.9441 + 2.65805i −1.12062 + 0.114810i
\(537\) 11.4653 + 6.74799i 0.494765 + 0.291197i
\(538\) 4.55515 + 13.5224i 0.196386 + 0.582992i
\(539\) 1.04804 0.0451421
\(540\) −7.27122 + 2.05694i −0.312903 + 0.0885164i
\(541\) 37.3381 1.60529 0.802646 0.596456i \(-0.203425\pi\)
0.802646 + 0.596456i \(0.203425\pi\)
\(542\) 4.67872 + 13.8892i 0.200968 + 0.596594i
\(543\) −0.260951 + 31.2001i −0.0111985 + 1.33892i
\(544\) 11.9208 + 18.2984i 0.511099 + 0.784538i
\(545\) −0.677292 + 1.86084i −0.0290120 + 0.0797098i
\(546\) 1.77449 8.44787i 0.0759413 0.361536i
\(547\) −19.4504 3.42964i −0.831640 0.146641i −0.258410 0.966035i \(-0.583199\pi\)
−0.573230 + 0.819395i \(0.694310\pi\)
\(548\) 1.91776 39.6817i 0.0819226 1.69512i
\(549\) 10.6549 + 9.24856i 0.454738 + 0.394719i
\(550\) 6.62517 + 0.159999i 0.282498 + 0.00682237i
\(551\) −9.64833 + 3.51171i −0.411033 + 0.149604i
\(552\) −2.00642 + 0.188621i −0.0853990 + 0.00802823i
\(553\) 8.41457 7.06066i 0.357824 0.300250i
\(554\) −1.97627 13.0420i −0.0839638 0.554101i
\(555\) 6.18370 5.10122i 0.262483 0.216535i
\(556\) −24.7055 + 26.7104i −1.04774 + 1.13277i
\(557\) −40.1083 + 23.1565i −1.69944 + 0.981173i −0.753155 + 0.657843i \(0.771469\pi\)
−0.946286 + 0.323330i \(0.895198\pi\)
\(558\) −0.615027 + 15.0390i −0.0260362 + 0.636653i
\(559\) 21.0385 + 12.1466i 0.889833 + 0.513745i
\(560\) 2.03739 + 2.07570i 0.0860954 + 0.0877145i
\(561\) −1.27460 + 6.89109i −0.0538137 + 0.290942i
\(562\) −17.8170 22.3057i −0.751565 0.940911i
\(563\) −3.11722 17.6787i −0.131375 0.745067i −0.977315 0.211789i \(-0.932071\pi\)
0.845940 0.533278i \(-0.179040\pi\)
\(564\) −20.2645 13.2840i −0.853288 0.559356i
\(565\) −7.88454 6.61592i −0.331705 0.278334i
\(566\) −5.29015 3.22702i −0.222362 0.135642i
\(567\) 2.79358 + 8.55546i 0.117319 + 0.359296i
\(568\) 1.47324 + 0.106903i 0.0618158 + 0.00448556i
\(569\) −15.0032 + 17.8801i −0.628966 + 0.749573i −0.982584 0.185817i \(-0.940507\pi\)
0.353618 + 0.935390i \(0.384951\pi\)
\(570\) 0.167155 5.13998i 0.00700134 0.215290i
\(571\) 28.4959 5.02459i 1.19251 0.210272i 0.458054 0.888924i \(-0.348547\pi\)
0.734460 + 0.678652i \(0.237435\pi\)
\(572\) 0.930044 + 7.32797i 0.0388871 + 0.306398i
\(573\) 12.2460 + 2.26507i 0.511585 + 0.0946246i
\(574\) −9.72982 8.57299i −0.406115 0.357830i
\(575\) 0.919664 1.59291i 0.0383527 0.0664287i
\(576\) −23.6873 3.86154i −0.986971 0.160897i
\(577\) −4.18273 7.24470i −0.174129 0.301601i 0.765730 0.643162i \(-0.222378\pi\)
−0.939860 + 0.341561i \(0.889044\pi\)
\(578\) −0.584977 + 2.90550i −0.0243319 + 0.120853i
\(579\) 1.84707 + 2.23902i 0.0767615 + 0.0930503i
\(580\) 4.76846 + 2.00123i 0.197999 + 0.0830966i
\(581\) −4.18859 4.99177i −0.173772 0.207093i
\(582\) −0.890707 + 2.21989i −0.0369210 + 0.0920172i
\(583\) −1.24828 3.42961i −0.0516983 0.142040i
\(584\) 17.9734 + 37.0975i 0.743743 + 1.53511i
\(585\) 7.54725 + 1.46135i 0.312040 + 0.0604194i
\(586\) 20.6835 11.2848i 0.854429 0.466171i
\(587\) 0.915496 5.19203i 0.0377866 0.214298i −0.960068 0.279766i \(-0.909743\pi\)
0.997855 + 0.0654682i \(0.0208541\pi\)
\(588\) 2.37337 2.52331i 0.0978761 0.104060i
\(589\) −9.62576 3.50349i −0.396622 0.144359i
\(590\) 4.13110 10.5503i 0.170075 0.434349i
\(591\) −15.6253 0.130687i −0.642739 0.00537574i
\(592\) 24.6528 6.36017i 1.01323 0.261402i
\(593\) 17.3260i 0.711495i 0.934582 + 0.355748i \(0.115774\pi\)
−0.934582 + 0.355748i \(0.884226\pi\)
\(594\) −4.65405 6.13616i −0.190958 0.251770i
\(595\) 2.80716i 0.115082i
\(596\) 8.62123 + 1.95345i 0.353139 + 0.0800166i
\(597\) −8.28696 + 14.0801i −0.339163 + 0.576262i
\(598\) 1.90904 + 0.747507i 0.0780664 + 0.0305678i
\(599\) −23.7027 8.62708i −0.968466 0.352493i −0.191121 0.981567i \(-0.561212\pi\)
−0.777346 + 0.629074i \(0.783434\pi\)
\(600\) 15.3885 15.5888i 0.628233 0.636410i
\(601\) 5.54005 31.4192i 0.225983 1.28161i −0.634814 0.772665i \(-0.718923\pi\)
0.860797 0.508949i \(-0.169966\pi\)
\(602\) 4.66915 + 8.55793i 0.190300 + 0.348795i
\(603\) −27.3182 + 4.34712i −1.11248 + 0.177028i
\(604\) −26.0751 16.7829i −1.06098 0.682888i
\(605\) 2.46247 + 6.76557i 0.100113 + 0.275059i
\(606\) −28.0199 + 21.9999i −1.13823 + 0.893686i
\(607\) 19.2872 + 22.9856i 0.782845 + 0.932958i 0.999058 0.0433882i \(-0.0138152\pi\)
−0.216214 + 0.976346i \(0.569371\pi\)
\(608\) 7.39418 14.5639i 0.299874 0.590645i
\(609\) 2.15490 5.76993i 0.0873210 0.233809i
\(610\) 4.74102 + 0.954530i 0.191958 + 0.0386478i
\(611\) 12.3250 + 21.3476i 0.498617 + 0.863630i
\(612\) 13.7049 + 18.6743i 0.553989 + 0.754863i
\(613\) −24.3198 + 42.1231i −0.982268 + 1.70134i −0.328769 + 0.944411i \(0.606634\pi\)
−0.653499 + 0.756927i \(0.726700\pi\)
\(614\) 3.43873 3.90275i 0.138776 0.157502i
\(615\) 7.49698 8.78429i 0.302307 0.354217i
\(616\) −1.21279 + 2.70485i −0.0488646 + 0.108981i
\(617\) 41.9342 7.39413i 1.68821 0.297676i 0.754656 0.656121i \(-0.227804\pi\)
0.933551 + 0.358444i \(0.116693\pi\)
\(618\) −6.69250 12.5143i −0.269212 0.503399i
\(619\) −24.0829 + 28.7008i −0.967972 + 1.15358i 0.0201323 + 0.999797i \(0.493591\pi\)
−0.988104 + 0.153787i \(0.950853\pi\)
\(620\) 2.36095 + 4.58738i 0.0948179 + 0.184233i
\(621\) −2.11369 + 0.318247i −0.0848195 + 0.0127708i
\(622\) 23.9336 39.2351i 0.959650 1.57318i
\(623\) 3.74101 + 3.13908i 0.149881 + 0.125765i
\(624\) 19.7494 + 14.3556i 0.790610 + 0.574684i
\(625\) 3.01258 + 17.0852i 0.120503 + 0.683408i
\(626\) 11.3664 9.07905i 0.454292 0.362872i
\(627\) 4.94004 1.75138i 0.197286 0.0699434i
\(628\) −7.72889 + 2.39739i −0.308416 + 0.0956662i
\(629\) −21.2807 12.2864i −0.848516 0.489891i
\(630\) 2.28021 + 2.07788i 0.0908458 + 0.0827846i
\(631\) 38.4685 22.2098i 1.53141 0.884159i 0.532111 0.846675i \(-0.321399\pi\)
0.999297 0.0374842i \(-0.0119344\pi\)
\(632\) 8.48532 + 29.8875i 0.337528 + 1.18886i
\(633\) −2.35850 14.0625i −0.0937421 0.558934i
\(634\) −10.8268 + 1.64060i −0.429987 + 0.0651566i
\(635\) 11.1260 9.33580i 0.441521 0.370480i
\(636\) −11.0842 4.76123i −0.439515 0.188795i
\(637\) −3.31156 + 1.20531i −0.131209 + 0.0477562i
\(638\) −0.127247 + 5.26900i −0.00503776 + 0.208602i
\(639\) 1.56650 + 0.0262056i 0.0619697 + 0.00103668i
\(640\) −7.71479 + 2.85623i −0.304954 + 0.112902i
\(641\) 15.2874 + 2.69558i 0.603817 + 0.106469i 0.467195 0.884154i \(-0.345265\pi\)
0.136621 + 0.990623i \(0.456376\pi\)
\(642\) 15.2241 16.9898i 0.600847 0.670534i
\(643\) −4.50357 + 12.3734i −0.177603 + 0.487961i −0.996268 0.0863104i \(-0.972492\pi\)
0.818665 + 0.574271i \(0.194715\pi\)
\(644\) 0.497801 + 0.655041i 0.0196161 + 0.0258122i
\(645\) −7.55469 + 4.27786i −0.297466 + 0.168441i
\(646\) −14.9394 + 5.03247i −0.587783 + 0.198000i
\(647\) 15.5017 0.609436 0.304718 0.952443i \(-0.401438\pi\)
0.304718 + 0.952443i \(0.401438\pi\)
\(648\) −25.3133 2.69050i −0.994399 0.105693i
\(649\) 11.5475 0.453281
\(650\) −21.1181 + 7.11382i −0.828319 + 0.279027i
\(651\) 5.34705 3.02778i 0.209567 0.118668i
\(652\) 4.38967 + 5.77624i 0.171913 + 0.226215i
\(653\) −3.78633 + 10.4029i −0.148171 + 0.407096i −0.991468 0.130352i \(-0.958389\pi\)
0.843297 + 0.537448i \(0.180611\pi\)
\(654\) −4.45184 + 4.96817i −0.174081 + 0.194271i
\(655\) 0.547742 + 0.0965817i 0.0214020 + 0.00377376i
\(656\) 33.3851 15.1907i 1.30347 0.593099i
\(657\) 21.2250 + 38.2253i 0.828064 + 1.49131i
\(658\) −0.238824 + 9.88914i −0.00931033 + 0.385519i
\(659\) −30.9269 + 11.2565i −1.20474 + 0.438489i −0.864876 0.501985i \(-0.832603\pi\)
−0.339864 + 0.940475i \(0.610381\pi\)
\(660\) −2.42554 1.04190i −0.0944141 0.0405558i
\(661\) 14.3658 12.0544i 0.558765 0.468860i −0.319131 0.947711i \(-0.603391\pi\)
0.877896 + 0.478851i \(0.158947\pi\)
\(662\) −39.9080 + 6.04731i −1.55107 + 0.235036i
\(663\) −3.89775 23.2402i −0.151376 0.902574i
\(664\) 17.7301 5.03374i 0.688063 0.195347i
\(665\) −1.81822 + 1.04975i −0.0705074 + 0.0407075i
\(666\) 25.7321 8.19146i 0.997098 0.317413i
\(667\) 1.26684 + 0.731410i 0.0490522 + 0.0283203i
\(668\) −39.8574 + 12.3632i −1.54213 + 0.478346i
\(669\) −26.6480 + 9.44745i −1.03027 + 0.365259i
\(670\) −7.40847 + 5.91762i −0.286214 + 0.228617i
\(671\) 0.855893 + 4.85401i 0.0330414 + 0.187387i
\(672\) 3.76588 + 9.04534i 0.145272 + 0.348931i
\(673\) 37.9826 + 31.8712i 1.46412 + 1.22854i 0.921391 + 0.388637i \(0.127054\pi\)
0.542731 + 0.839907i \(0.317390\pi\)
\(674\) 23.7122 38.8721i 0.913360 1.49730i
\(675\) 15.3760 17.4176i 0.591822 0.670403i
\(676\) 0.531533 + 1.03278i 0.0204436 + 0.0397223i
\(677\) 25.5830 30.4886i 0.983233 1.17177i −0.00190332 0.999998i \(-0.500606\pi\)
0.985136 0.171773i \(-0.0549497\pi\)
\(678\) −16.3511 30.5749i −0.627961 1.17422i
\(679\) 0.961659 0.169567i 0.0369051 0.00650737i
\(680\) 7.24492 + 3.24845i 0.277830 + 0.124572i
\(681\) 32.0906 37.6010i 1.22972 1.44087i
\(682\) −3.47617 + 3.94524i −0.133110 + 0.151071i
\(683\) 5.60226 9.70339i 0.214364 0.371290i −0.738711 0.674022i \(-0.764565\pi\)
0.953076 + 0.302732i \(0.0978987\pi\)
\(684\) 6.97043 15.8601i 0.266521 0.606426i
\(685\) −7.22187 12.5086i −0.275933 0.477931i
\(686\) −1.38639 0.279129i −0.0529328 0.0106572i
\(687\) 2.18443 5.84900i 0.0833412 0.223153i
\(688\) −27.4900 + 2.14723i −1.04805 + 0.0818624i
\(689\) 7.88855 + 9.40121i 0.300530 + 0.358157i
\(690\) −0.576278 + 0.452467i −0.0219385 + 0.0172251i
\(691\) 0.332252 + 0.912854i 0.0126394 + 0.0347266i 0.945852 0.324598i \(-0.105229\pi\)
−0.933212 + 0.359325i \(0.883007\pi\)
\(692\) 15.8612 + 10.2088i 0.602951 + 0.388082i
\(693\) −1.12462 + 2.93610i −0.0427207 + 0.111533i
\(694\) −16.8102 30.8109i −0.638106 1.16956i
\(695\) −2.29702 + 13.0271i −0.0871310 + 0.494144i
\(696\) 12.3978 + 12.2385i 0.469937 + 0.463898i
\(697\) −33.2655 12.1077i −1.26002 0.458611i
\(698\) −19.8486 7.77198i −0.751282 0.294174i
\(699\) −13.2390 + 22.4940i −0.500744 + 0.850801i
\(700\) −8.72148 1.97617i −0.329641 0.0746921i
\(701\) 40.7453i 1.53893i 0.638690 + 0.769464i \(0.279477\pi\)
−0.638690 + 0.769464i \(0.720523\pi\)
\(702\) 21.7627 + 14.0364i 0.821382 + 0.529771i
\(703\) 18.3782i 0.693146i
\(704\) −5.57742 6.26009i −0.210207 0.235936i
\(705\) −8.80902 0.0736770i −0.331767 0.00277484i
\(706\) 11.2337 28.6894i 0.422785 1.07974i
\(707\) 13.6666 + 4.97423i 0.513985 + 0.187075i
\(708\) 26.1504 27.8025i 0.982793 1.04488i
\(709\) 2.05263 11.6410i 0.0770882 0.437189i −0.921697 0.387911i \(-0.873197\pi\)
0.998785 0.0492779i \(-0.0156920\pi\)
\(710\) 0.471426 0.257207i 0.0176923 0.00965280i
\(711\) 10.7512 + 31.1502i 0.403200 + 1.16822i
\(712\) −12.4307 + 6.02253i −0.465859 + 0.225704i
\(713\) 0.499143 + 1.37138i 0.0186931 + 0.0513588i
\(714\) 3.52144 8.77639i 0.131787 0.328448i
\(715\) 1.72625 + 2.05726i 0.0645581 + 0.0769373i
\(716\) 14.1649 + 5.94475i 0.529368 + 0.222166i
\(717\) −6.01018 7.28555i −0.224454 0.272084i
\(718\) −3.00158 + 14.9084i −0.112018 + 0.556378i
\(719\) 23.3211 + 40.3934i 0.869732 + 1.50642i 0.862271 + 0.506448i \(0.169042\pi\)
0.00746140 + 0.999972i \(0.497625\pi\)
\(720\) −8.00139 + 3.48041i −0.298194 + 0.129707i
\(721\) −2.89682 + 5.01743i −0.107883 + 0.186859i
\(722\) −11.3145 9.96922i −0.421081 0.371016i
\(723\) −33.6855 6.23059i −1.25278 0.231718i
\(724\) 4.53618 + 35.7413i 0.168586 + 1.32831i
\(725\) −15.6584 + 2.76100i −0.581538 + 0.102541i
\(726\) −0.788333 + 24.2411i −0.0292578 + 0.899672i
\(727\) 0.127067 0.151432i 0.00471265 0.00561632i −0.763683 0.645591i \(-0.776611\pi\)
0.768396 + 0.639975i \(0.221055\pi\)
\(728\) 0.721388 9.94150i 0.0267364 0.368457i
\(729\) −26.9660 1.35434i −0.998741 0.0501606i
\(730\) 12.7944 + 7.80464i 0.473541 + 0.288863i
\(731\) 20.3866 + 17.1064i 0.754027 + 0.632704i
\(732\) 13.6250 + 8.93163i 0.503596 + 0.330123i
\(733\) 5.85626 + 33.2125i 0.216306 + 1.22673i 0.878626 + 0.477511i \(0.158461\pi\)
−0.662320 + 0.749221i \(0.730428\pi\)
\(734\) −4.08306 5.11173i −0.150709 0.188677i
\(735\) 0.229063 1.23842i 0.00844911 0.0456798i
\(736\) −2.26663 + 0.526746i −0.0835491 + 0.0194161i
\(737\) −8.36890 4.83179i −0.308273 0.177981i
\(738\) 34.4582 18.0589i 1.26842 0.664756i
\(739\) −28.8703 + 16.6683i −1.06201 + 0.613153i −0.925988 0.377552i \(-0.876766\pi\)
−0.136024 + 0.990705i \(0.543433\pi\)
\(740\) 6.28524 6.79532i 0.231050 0.249801i
\(741\) −13.5952 + 11.2153i −0.499434 + 0.412006i
\(742\) 0.737854 + 4.86931i 0.0270875 + 0.178758i
\(743\) −34.1138 + 28.6248i −1.25151 + 1.05014i −0.254979 + 0.966946i \(0.582069\pi\)
−0.996533 + 0.0831972i \(0.973487\pi\)
\(744\) 1.62670 + 17.3038i 0.0596378 + 0.634388i
\(745\) 3.02002 1.09920i 0.110645 0.0402714i
\(746\) −11.5010 0.277752i −0.421083 0.0101692i
\(747\) 18.4792 6.37791i 0.676119 0.233356i
\(748\) −0.390624 + 8.08268i −0.0142826 + 0.295532i
\(749\) −9.17182 1.61724i −0.335131 0.0590926i
\(750\) 3.46775 16.5090i 0.126624 0.602824i
\(751\) 9.59873 26.3723i 0.350263 0.962338i −0.632023 0.774949i \(-0.717775\pi\)
0.982286 0.187389i \(-0.0600025\pi\)
\(752\) −25.2462 12.0601i −0.920635 0.439786i
\(753\) −0.169103 + 20.2185i −0.00616247 + 0.736802i
\(754\) −5.65763 16.7952i −0.206039 0.611646i
\(755\) −11.2739 −0.410300
\(756\) 4.52233 + 9.35674i 0.164475 + 0.340301i
\(757\) −33.4210 −1.21471 −0.607353 0.794432i \(-0.707769\pi\)
−0.607353 + 0.794432i \(0.707769\pi\)
\(758\) 1.50876 + 4.47890i 0.0548006 + 0.162681i
\(759\) −0.643543 0.378761i −0.0233591 0.0137482i
\(760\) −0.605225 5.90735i −0.0219538 0.214282i
\(761\) −6.11039 + 16.7882i −0.221501 + 0.608570i −0.999814 0.0193074i \(-0.993854\pi\)
0.778312 + 0.627877i \(0.216076\pi\)
\(762\) 46.4958 15.2307i 1.68437 0.551752i
\(763\) 2.68203 + 0.472914i 0.0970959 + 0.0171206i
\(764\) 14.3636 + 0.694170i 0.519656 + 0.0251142i
\(765\) 7.86433 + 3.01228i 0.284335 + 0.108909i
\(766\) −18.9777 0.458315i −0.685693 0.0165596i
\(767\) −36.4877 + 13.2804i −1.31749 + 0.479529i
\(768\) −27.7027 0.747997i −0.999636 0.0269910i
\(769\) −27.2169 + 22.8377i −0.981465 + 0.823547i −0.984310 0.176449i \(-0.943539\pi\)
0.00284456 + 0.999996i \(0.499095\pi\)
\(770\) 0.161465 + 1.06555i 0.00581878 + 0.0383998i
\(771\) 1.63570 + 0.610886i 0.0589083 + 0.0220005i
\(772\) 2.46048 + 2.27578i 0.0885544 + 0.0819072i
\(773\) −14.8479 + 8.57243i −0.534041 + 0.308329i −0.742661 0.669668i \(-0.766436\pi\)
0.208619 + 0.977997i \(0.433103\pi\)
\(774\) −28.9855 + 3.89745i −1.04186 + 0.140091i
\(775\) −13.7375 7.93137i −0.493467 0.284903i
\(776\) −0.675202 + 2.67814i −0.0242383 + 0.0961396i
\(777\) −8.38571 7.15681i −0.300836 0.256749i
\(778\) −3.88630 4.86539i −0.139331 0.174433i
\(779\) 4.59755 + 26.0740i 0.164724 + 0.934198i
\(780\) 8.86243 + 0.502635i 0.317326 + 0.0179972i
\(781\) 0.419275 + 0.351814i 0.0150029 + 0.0125889i
\(782\) 1.91736 + 1.16960i 0.0685647 + 0.0418248i
\(783\) 13.8522 + 12.2285i 0.495038 + 0.437013i
\(784\) 2.32473 3.25509i 0.0830260 0.116253i
\(785\) −1.89110 + 2.25373i −0.0674963 + 0.0804389i
\(786\) 1.59132 + 0.989070i 0.0567605 + 0.0352789i
\(787\) −27.8482 + 4.91039i −0.992681 + 0.175036i −0.646321 0.763066i \(-0.723693\pi\)
−0.346359 + 0.938102i \(0.612582\pi\)
\(788\) −17.8996 + 2.27176i −0.637646 + 0.0809282i
\(789\) −6.22363 17.5547i −0.221567 0.624965i
\(790\) 8.47503 + 7.46739i 0.301528 + 0.265678i
\(791\) −7.07751 + 12.2586i −0.251647 + 0.435866i
\(792\) −6.27628 6.30014i −0.223018 0.223866i
\(793\) −8.28686 14.3533i −0.294275 0.509699i
\(794\) −4.26586 + 21.1879i −0.151390 + 0.751931i
\(795\) −4.32545 + 0.725447i −0.153408 + 0.0257289i
\(796\) −7.30053 + 17.3954i −0.258761 + 0.616565i
\(797\) 24.9168 + 29.6947i 0.882600 + 1.05184i 0.998284 + 0.0585554i \(0.0186494\pi\)
−0.115684 + 0.993286i \(0.536906\pi\)
\(798\) −7.00138 + 1.00110i −0.247846 + 0.0354387i
\(799\) 9.23586 + 25.3753i 0.326741 + 0.897714i
\(800\) 15.1927 20.2222i 0.537144 0.714962i
\(801\) −12.8086 + 7.11207i −0.452569 + 0.251293i
\(802\) 20.7342 11.3124i 0.732149 0.399455i
\(803\) −2.65236 + 15.0423i −0.0935998 + 0.530831i
\(804\) −30.5854 + 9.20745i −1.07866 + 0.324722i
\(805\) 0.281077 + 0.102304i 0.00990667 + 0.00360573i
\(806\) 6.44665 16.4639i 0.227074 0.579917i
\(807\) 8.61107 + 15.2071i 0.303124 + 0.535316i
\(808\) −28.6528 + 29.5155i −1.00800 + 1.03835i
\(809\) 13.7746i 0.484288i −0.970240 0.242144i \(-0.922149\pi\)
0.970240 0.242144i \(-0.0778507\pi\)
\(810\) −8.26804 + 4.15835i −0.290509 + 0.146110i
\(811\) 43.3372i 1.52178i 0.648883 + 0.760888i \(0.275237\pi\)
−0.648883 + 0.760888i \(0.724763\pi\)
\(812\) 1.57165 6.93620i 0.0551540 0.243413i
\(813\) 8.84467 + 15.6197i 0.310196 + 0.547805i
\(814\) 8.78447 + 3.43967i 0.307896 + 0.120560i
\(815\) 2.47857 + 0.902127i 0.0868207 + 0.0316001i
\(816\) 18.5757 + 19.2444i 0.650280 + 0.673689i
\(817\) 3.45628 19.6016i 0.120920 0.685772i
\(818\) −23.1144 42.3657i −0.808176 1.48128i
\(819\) 0.176837 10.5708i 0.00617917 0.369374i
\(820\) 7.21724 11.2132i 0.252037 0.391582i
\(821\) 18.8351 + 51.7491i 0.657350 + 1.80605i 0.588606 + 0.808420i \(0.299677\pi\)
0.0687442 + 0.997634i \(0.478101\pi\)
\(822\) −6.88721 48.1668i −0.240219 1.68001i
\(823\) 32.4011 + 38.6141i 1.12943 + 1.34600i 0.930629 + 0.365964i \(0.119261\pi\)
0.198803 + 0.980040i \(0.436295\pi\)
\(824\) −9.59715 13.2825i −0.334333 0.462717i
\(825\) 8.00471 1.34252i 0.278688 0.0467404i
\(826\) −15.2756 3.07551i −0.531508 0.107011i
\(827\) 23.4301 + 40.5822i 0.814746 + 1.41118i 0.909510 + 0.415681i \(0.136457\pi\)
−0.0947646 + 0.995500i \(0.530210\pi\)
\(828\) −2.36929 + 0.691694i −0.0823384 + 0.0240380i
\(829\) −11.3047 + 19.5803i −0.392629 + 0.680053i −0.992795 0.119822i \(-0.961768\pi\)
0.600167 + 0.799875i \(0.295101\pi\)
\(830\) 4.42988 5.02764i 0.153763 0.174512i
\(831\) −5.39833 15.2268i −0.187266 0.528213i
\(832\) 24.8229 + 13.3661i 0.860580 + 0.463386i
\(833\) −3.80195 + 0.670387i −0.131730 + 0.0232275i
\(834\) −23.5232 + 37.8466i −0.814543 + 1.31052i
\(835\) −9.75228 + 11.6223i −0.337492 + 0.402207i
\(836\) 5.38128 2.76954i 0.186115 0.0957864i
\(837\) 2.74463 + 18.2289i 0.0948682 + 0.630083i
\(838\) 0.286812 0.470179i 0.00990775 0.0162421i
\(839\) −27.5038 23.0784i −0.949536 0.796755i 0.0296833 0.999559i \(-0.490550\pi\)
−0.979219 + 0.202804i \(0.934995\pi\)
\(840\) 2.93113 + 2.02428i 0.101134 + 0.0698443i
\(841\) 2.83997 + 16.1063i 0.0979301 + 0.555389i
\(842\) 19.1283 15.2790i 0.659204 0.526548i
\(843\) −26.5951 22.6977i −0.915985 0.781750i
\(844\) −4.87786 15.7256i −0.167903 0.541298i
\(845\) 0.365717 + 0.211147i 0.0125810 + 0.00726367i
\(846\) −27.4484 11.2808i −0.943694 0.387842i
\(847\) 8.57505 4.95081i 0.294642 0.170112i
\(848\) −13.4209 3.73046i −0.460876 0.128104i
\(849\) −7.10975 2.65529i −0.244006 0.0911292i
\(850\) −24.1364 + 3.65743i −0.827872 + 0.125449i
\(851\) 2.00577 1.68304i 0.0687568 0.0576938i
\(852\) 1.79653 0.212759i 0.0615482 0.00728900i
\(853\) −5.50004 + 2.00185i −0.188318 + 0.0685420i −0.434458 0.900692i \(-0.643060\pi\)
0.246140 + 0.969234i \(0.420838\pi\)
\(854\) 0.160576 6.64907i 0.00549480 0.227527i
\(855\) −0.989818 6.22023i −0.0338510 0.212727i
\(856\) 14.7875 21.7998i 0.505426 0.745102i
\(857\) −24.6090 4.33923i −0.840627 0.148225i −0.263275 0.964721i \(-0.584803\pi\)
−0.577352 + 0.816496i \(0.695914\pi\)
\(858\) 2.81626 + 8.59738i 0.0961457 + 0.293510i
\(859\) 3.52131 9.67473i 0.120146 0.330097i −0.865012 0.501752i \(-0.832689\pi\)
0.985157 + 0.171654i \(0.0549113\pi\)
\(860\) −7.98160 + 6.06564i −0.272170 + 0.206837i
\(861\) −13.6876 8.05592i −0.466472 0.274545i
\(862\) 24.6155 8.29196i 0.838408 0.282425i
\(863\) 37.5652 1.27874 0.639368 0.768901i \(-0.279196\pi\)
0.639368 + 0.768901i \(0.279196\pi\)
\(864\) −29.3818 + 0.843925i −0.999588 + 0.0287109i
\(865\) 6.85777 0.233171
\(866\) 33.1145 11.1549i 1.12528 0.379060i
\(867\) −0.0303587 + 3.62978i −0.00103104 + 0.123274i
\(868\) 5.64921 4.29313i 0.191747 0.145718i
\(869\) −3.93737 + 10.8178i −0.133566 + 0.366970i
\(870\) 6.19835 + 1.30198i 0.210144 + 0.0441411i
\(871\) 32.0008 + 5.64260i 1.08430 + 0.191192i
\(872\) −4.32417 + 6.37471i −0.146435 + 0.215875i
\(873\) −0.556884 + 2.87607i −0.0188477 + 0.0973401i
\(874\) 0.0405544 1.67926i 0.00137177 0.0568019i
\(875\) −6.47153 + 2.35544i −0.218778 + 0.0796285i
\(876\) 30.2102 + 40.4505i 1.02071 + 1.36670i
\(877\) 1.93705 1.62538i 0.0654096 0.0548852i −0.609497 0.792789i \(-0.708628\pi\)
0.674906 + 0.737903i \(0.264184\pi\)
\(878\) 24.0847 3.64960i 0.812820 0.123168i
\(879\) 22.2602 18.3635i 0.750818 0.619384i
\(880\) −2.93689 0.816335i −0.0990027 0.0275186i
\(881\) 41.3796 23.8905i 1.39411 0.804892i 0.400346 0.916364i \(-0.368890\pi\)
0.993768 + 0.111472i \(0.0355566\pi\)
\(882\) 2.26968 3.58449i 0.0764242 0.120696i
\(883\) −5.86390 3.38552i −0.197336 0.113932i 0.398076 0.917352i \(-0.369678\pi\)
−0.595412 + 0.803420i \(0.703011\pi\)
\(884\) −8.06133 25.9887i −0.271132 0.874095i
\(885\) 2.52387 13.6452i 0.0848391 0.458680i
\(886\) −21.7218 + 17.3506i −0.729759 + 0.582905i
\(887\) −7.51358 42.6116i −0.252281 1.43076i −0.802956 0.596039i \(-0.796740\pi\)
0.550674 0.834720i \(-0.314371\pi\)
\(888\) 28.1747 13.3606i 0.945482 0.448352i
\(889\) −15.3012 12.8392i −0.513186 0.430614i
\(890\) −2.61519 + 4.28715i −0.0876612 + 0.143706i
\(891\) −7.01875 6.30128i −0.235137 0.211101i
\(892\) −29.0282 + 14.9397i −0.971935 + 0.500217i
\(893\) 12.9820 15.4713i 0.434425 0.517728i
\(894\) 10.8207 + 0.351896i 0.361900 + 0.0117692i
\(895\) 5.50017 0.969829i 0.183850 0.0324178i
\(896\) 5.71080 + 9.76661i 0.190784 + 0.326280i
\(897\) 2.46905 + 0.456685i 0.0824393 + 0.0152483i
\(898\) −22.1442 + 25.1323i −0.738960 + 0.838675i
\(899\) 6.30783 10.9255i 0.210378 0.364385i
\(900\) 14.8950 22.3128i 0.496501 0.743761i
\(901\) 6.72214 + 11.6431i 0.223947 + 0.387888i
\(902\) 13.3234 + 2.68247i 0.443622 + 0.0893164i
\(903\) 7.59799 + 9.21028i 0.252845 + 0.306499i
\(904\) −23.4478 32.4518i −0.779861 1.07933i
\(905\) 8.41957 + 10.0341i 0.279876 + 0.333543i
\(906\) −35.2471 14.1425i −1.17101 0.469855i
\(907\) 6.47673 + 17.7947i 0.215056 + 0.590862i 0.999572 0.0292465i \(-0.00931076\pi\)
−0.784516 + 0.620109i \(0.787089\pi\)
\(908\) 30.8932 47.9979i 1.02523 1.59287i
\(909\) −28.6006 + 32.9495i −0.948623 + 1.09287i
\(910\) −1.73565 3.18121i −0.0575361 0.105456i
\(911\) 0.766384 4.34638i 0.0253914 0.144002i −0.969476 0.245184i \(-0.921151\pi\)
0.994868 + 0.101182i \(0.0322626\pi\)
\(912\) 5.51827 19.2281i 0.182728 0.636707i
\(913\) 6.41746 + 2.33576i 0.212387 + 0.0773025i
\(914\) 53.2298 + 20.8428i 1.76068 + 0.689418i
\(915\) 5.92285 + 0.0495375i 0.195803 + 0.00163766i
\(916\) 1.59318 7.03125i 0.0526403 0.232319i
\(917\) 0.764913i 0.0252597i
\(918\) 20.8085 + 19.2831i 0.686783 + 0.636436i
\(919\) 8.04411i 0.265351i 0.991160 + 0.132675i \(0.0423568\pi\)
−0.991160 + 0.132675i \(0.957643\pi\)
\(920\) −0.589295 + 0.607038i −0.0194285 + 0.0200134i
\(921\) 3.23133 5.49027i 0.106476 0.180911i
\(922\) 4.63404 11.8348i 0.152614 0.389757i
\(923\) −1.72943 0.629460i −0.0569248 0.0207189i
\(924\) −0.831871 + 3.53392i −0.0273665 + 0.116257i
\(925\) −4.94198 + 28.0274i −0.162491 + 0.921535i
\(926\) −22.6848 + 12.3766i −0.745468 + 0.406722i
\(927\) −10.9480 13.4995i −0.359578 0.443383i
\(928\) 16.0827 + 12.0828i 0.527941 + 0.396637i
\(929\) 3.92443 + 10.7823i 0.128756 + 0.353756i 0.987274 0.159029i \(-0.0508363\pi\)
−0.858517 + 0.512784i \(0.828614\pi\)
\(930\) 3.90216 + 4.96993i 0.127957 + 0.162971i
\(931\) 1.85597 + 2.21186i 0.0608269 + 0.0724907i
\(932\) −11.6631 + 27.7904i −0.382037 + 0.910304i
\(933\) 19.6932 52.7303i 0.644728 1.72631i
\(934\) −1.76192 + 8.75122i −0.0576519 + 0.286349i
\(935\) 1.47101 + 2.54786i 0.0481070 + 0.0833238i
\(936\) 27.0772 + 12.6889i 0.885047 + 0.414750i
\(937\) 24.8748 43.0844i 0.812623 1.40750i −0.0983987 0.995147i \(-0.531372\pi\)
0.911022 0.412358i \(-0.135295\pi\)
\(938\) 9.78392 + 8.62065i 0.319456 + 0.281474i
\(939\) 11.5661 13.5522i 0.377446 0.442258i
\(940\) −10.0912 + 1.28074i −0.329138 + 0.0417732i
\(941\) 42.8926 7.56313i 1.39826 0.246551i 0.576832 0.816863i \(-0.304289\pi\)
0.821428 + 0.570312i \(0.193178\pi\)
\(942\) −8.73957 + 4.67382i −0.284751 + 0.152281i
\(943\) 2.42465 2.88958i 0.0789573 0.0940977i
\(944\) 25.6145 35.8655i 0.833680 1.16732i
\(945\) 3.22366 + 1.97064i 0.104866 + 0.0641048i
\(946\) −8.72235 5.32069i −0.283588 0.172990i
\(947\) −11.5429 9.68561i −0.375093 0.314740i 0.435680 0.900102i \(-0.356508\pi\)
−0.810772 + 0.585362i \(0.800952\pi\)
\(948\) 17.1291 + 33.9778i 0.556328 + 1.10355i
\(949\) −8.91874 50.5807i −0.289515 1.64192i
\(950\) 11.3948 + 14.2656i 0.369697 + 0.462837i
\(951\) −12.6405 + 4.48142i −0.409898 + 0.145320i
\(952\) 2.66944 10.5881i 0.0865169 0.343163i
\(953\) 6.03530 + 3.48448i 0.195502 + 0.112873i 0.594556 0.804054i \(-0.297328\pi\)
−0.399053 + 0.916928i \(0.630661\pi\)
\(954\) −14.4332 3.15800i −0.467294 0.102244i
\(955\) 4.52775 2.61410i 0.146514 0.0845901i
\(956\) −8.00616 7.40519i −0.258938 0.239501i
\(957\) 1.06770 + 6.36615i 0.0345140 + 0.205788i
\(958\) −4.44368 29.3251i −0.143569 0.947451i
\(959\) −15.2167 + 12.7684i −0.491374 + 0.412312i
\(960\) −8.61631 + 5.22238i −0.278090 + 0.168551i
\(961\) −17.3034 + 6.29791i −0.558173 + 0.203158i
\(962\) −31.7128 0.765869i −1.02246 0.0246926i
\(963\) 14.3727 23.9596i 0.463155 0.772088i
\(964\) −39.5103 1.90947i −1.27254 0.0614999i
\(965\) 1.20001 + 0.211594i 0.0386296 + 0.00681144i
\(966\) 0.750433 + 0.672442i 0.0241448 + 0.0216355i
\(967\) 13.0359 35.8159i 0.419207 1.15176i −0.532948 0.846148i \(-0.678916\pi\)
0.952155 0.305615i \(-0.0988620\pi\)
\(968\) 2.85435 + 27.8602i 0.0917424 + 0.895460i
\(969\) −16.8007 + 9.51341i −0.539715 + 0.305615i
\(970\) 0.320557 + 0.951606i 0.0102925 + 0.0305542i
\(971\) 8.50487 0.272934 0.136467 0.990645i \(-0.456425\pi\)
0.136467 + 0.990645i \(0.456425\pi\)
\(972\) −31.0659 + 2.62895i −0.996438 + 0.0843237i
\(973\) 18.1921 0.583211
\(974\) −12.5008 37.1098i −0.400551 1.18908i
\(975\) −23.7491 + 13.4480i −0.760581 + 0.430680i
\(976\) 16.9746 + 8.10873i 0.543343 + 0.259554i
\(977\) 1.65533 4.54798i 0.0529586 0.145503i −0.910393 0.413745i \(-0.864221\pi\)
0.963351 + 0.268242i \(0.0864428\pi\)
\(978\) 6.61741 + 5.92968i 0.211602 + 0.189610i
\(979\) −5.04038 0.888755i −0.161091 0.0284047i
\(980\) 0.0702003 1.45257i 0.00224247 0.0464005i
\(981\) −4.20288 + 7.00629i −0.134188 + 0.223694i
\(982\) −15.1444 0.365740i −0.483278 0.0116712i
\(983\) −43.5105 + 15.8365i −1.38777 + 0.505107i −0.924524 0.381124i \(-0.875537\pi\)
−0.463245 + 0.886230i \(0.653315\pi\)
\(984\) 36.6306 26.0036i 1.16774 0.828965i
\(985\) −5.02515 + 4.21660i −0.160115 + 0.134352i
\(986\) −2.90876 19.1957i −0.0926337 0.611316i
\(987\) 2.00392 + 11.9483i 0.0637856 + 0.380319i
\(988\) −13.8185 + 14.9399i −0.439625 + 0.475303i
\(989\) −2.45581 + 1.41786i −0.0780901 + 0.0450853i
\(990\) −3.15843 0.691064i −0.100381 0.0219635i
\(991\) −4.03199 2.32787i −0.128080 0.0739473i 0.434591 0.900628i \(-0.356893\pi\)
−0.562671 + 0.826681i \(0.690226\pi\)
\(992\) 4.54276 + 19.5479i 0.144233 + 0.620646i
\(993\) −46.5935 + 16.5187i −1.47860 + 0.524204i
\(994\) −0.460937 0.577064i −0.0146200 0.0183034i
\(995\) 1.19101 + 6.75456i 0.0377576 + 0.214134i
\(996\) 20.1566 10.1615i 0.638686 0.321979i
\(997\) −12.1437 10.1897i −0.384593 0.322712i 0.429909 0.902872i \(-0.358546\pi\)
−0.814503 + 0.580160i \(0.802990\pi\)
\(998\) 28.3397 + 17.2874i 0.897078 + 0.547223i
\(999\) 29.0484 15.8130i 0.919051 0.500301i
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.659.99 yes 648
4.3 odd 2 inner 756.2.cf.a.659.59 yes 648
27.5 odd 18 inner 756.2.cf.a.491.59 648
108.59 even 18 inner 756.2.cf.a.491.99 yes 648
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
756.2.cf.a.491.59 648 27.5 odd 18 inner
756.2.cf.a.491.99 yes 648 108.59 even 18 inner
756.2.cf.a.659.59 yes 648 4.3 odd 2 inner
756.2.cf.a.659.99 yes 648 1.1 even 1 trivial