Properties

Label 552.2.t.a.19.10
Level $552$
Weight $2$
Character 552.19
Analytic conductor $4.408$
Analytic rank $0$
Dimension $240$
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] = [552,2,Mod(19,552)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(552, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([11, 11, 0, 15]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("552.19");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 552 = 2^{3} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 552.t (of order \(22\), degree \(10\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(4.40774219157\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 19.10
Character \(\chi\) \(=\) 552.19
Dual form 552.2.t.a.523.10

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.279033 - 1.38641i) q^{2} +(0.959493 - 0.281733i) q^{3} +(-1.84428 + 0.773709i) q^{4} +(-3.59098 - 2.30779i) q^{5} +(-0.658327 - 1.25164i) q^{6} +(-0.294270 - 2.04669i) q^{7} +(1.58729 + 2.34105i) q^{8} +(0.841254 - 0.540641i) q^{9} +O(q^{10})\) \(q+(-0.279033 - 1.38641i) q^{2} +(0.959493 - 0.281733i) q^{3} +(-1.84428 + 0.773709i) q^{4} +(-3.59098 - 2.30779i) q^{5} +(-0.658327 - 1.25164i) q^{6} +(-0.294270 - 2.04669i) q^{7} +(1.58729 + 2.34105i) q^{8} +(0.841254 - 0.540641i) q^{9} +(-2.19754 + 5.62253i) q^{10} +(-0.345243 - 0.157667i) q^{11} +(-1.55160 + 1.26196i) q^{12} +(1.46541 + 0.210693i) q^{13} +(-2.75545 + 0.979072i) q^{14} +(-4.09570 - 1.20261i) q^{15} +(2.80275 - 2.85387i) q^{16} +(-5.73428 + 4.96879i) q^{17} +(-0.984289 - 1.01547i) q^{18} +(-0.119581 - 0.103618i) q^{19} +(8.40834 + 1.47783i) q^{20} +(-0.858969 - 1.88088i) q^{21} +(-0.122258 + 0.522643i) q^{22} +(-4.78009 - 0.388232i) q^{23} +(2.18255 + 1.79902i) q^{24} +(5.49222 + 12.0263i) q^{25} +(-0.116788 - 2.09045i) q^{26} +(0.654861 - 0.755750i) q^{27} +(2.12626 + 3.54699i) q^{28} +(2.74809 - 2.38123i) q^{29} +(-0.524475 + 6.01390i) q^{30} +(-1.90564 + 6.49003i) q^{31} +(-4.73871 - 3.08944i) q^{32} +(-0.375678 - 0.0540143i) q^{33} +(8.48884 + 6.56363i) q^{34} +(-3.66660 + 8.02874i) q^{35} +(-1.13321 + 1.64798i) q^{36} +(-2.39963 + 1.54215i) q^{37} +(-0.110290 + 0.194701i) q^{38} +(1.46541 - 0.210693i) q^{39} +(-0.297317 - 12.0698i) q^{40} +(-7.43796 - 4.78008i) q^{41} +(-2.36800 + 1.71571i) q^{42} +(-3.24224 - 11.0421i) q^{43} +(0.758713 + 0.0236652i) q^{44} -4.26861 q^{45} +(0.795552 + 6.73551i) q^{46} +4.36154i q^{47} +(1.88519 - 3.52790i) q^{48} +(2.61411 - 0.767571i) q^{49} +(15.1409 - 10.9702i) q^{50} +(-4.10214 + 6.38305i) q^{51} +(-2.86564 + 0.745219i) q^{52} +(-0.643817 - 4.47785i) q^{53} +(-1.23051 - 0.697029i) q^{54} +(0.875900 + 1.36293i) q^{55} +(4.32430 - 3.93760i) q^{56} +(-0.143930 - 0.0657304i) q^{57} +(-4.06817 - 3.14554i) q^{58} +(1.20174 - 8.35829i) q^{59} +(8.48410 - 0.950935i) q^{60} +(-12.3508 - 3.62652i) q^{61} +(9.52960 + 0.831081i) q^{62} +(-1.35408 - 1.56269i) q^{63} +(-2.96099 + 7.43186i) q^{64} +(-4.77601 - 4.13844i) q^{65} +(0.0299402 + 0.535917i) q^{66} +(0.187409 - 0.0855868i) q^{67} +(6.73124 - 13.6005i) q^{68} +(-4.69584 + 0.974202i) q^{69} +(12.1543 + 2.84315i) q^{70} +(1.71209 - 0.781884i) q^{71} +(2.60098 + 1.11126i) q^{72} +(8.18492 - 9.44590i) q^{73} +(2.80763 + 2.89657i) q^{74} +(8.65794 + 9.99179i) q^{75} +(0.300711 + 0.0985790i) q^{76} +(-0.221101 + 0.753002i) q^{77} +(-0.701004 - 1.97287i) q^{78} +(-0.244048 + 1.69739i) q^{79} +(-16.6508 + 3.78007i) q^{80} +(0.415415 - 0.909632i) q^{81} +(-4.55174 + 11.6459i) q^{82} +(7.42113 + 11.5475i) q^{83} +(3.03943 + 2.80428i) q^{84} +(32.0586 - 4.60933i) q^{85} +(-14.4042 + 7.57619i) q^{86} +(1.96590 - 3.05900i) q^{87} +(-0.178896 - 1.05849i) q^{88} +(-2.15502 - 7.33933i) q^{89} +(1.19108 + 5.91806i) q^{90} -3.06123i q^{91} +(9.11621 - 2.98239i) q^{92} +6.76402i q^{93} +(6.04690 - 1.21701i) q^{94} +(0.190286 + 0.648056i) q^{95} +(-5.41715 - 1.62925i) q^{96} +(0.221436 - 0.344561i) q^{97} +(-1.79359 - 3.41005i) q^{98} +(-0.375678 + 0.0540143i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q + 24 q^{3} - 4 q^{4} + 11 q^{6} - 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 240 q + 24 q^{3} - 4 q^{4} + 11 q^{6} - 24 q^{9} + 4 q^{12} - 4 q^{16} + 44 q^{17} - 55 q^{20} - 24 q^{25} + 24 q^{27} + 33 q^{34} + 7 q^{36} - 132 q^{38} + 11 q^{40} - 66 q^{42} + 77 q^{44} + 37 q^{48} - 56 q^{49} - 37 q^{50} - 55 q^{52} - 11 q^{54} + 132 q^{56} + 37 q^{58} + 11 q^{60} + 51 q^{62} - 4 q^{64} - 55 q^{66} - 132 q^{70} + 144 q^{73} + 44 q^{74} + 24 q^{75} - 55 q^{76} - 198 q^{80} - 24 q^{81} - 26 q^{82} + 44 q^{84} - 110 q^{86} + 22 q^{88} - 139 q^{92} - 117 q^{94} - 209 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(185\) \(277\) \(415\)
\(\chi(n)\) \(e\left(\frac{15}{22}\right)\) \(1\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.279033 1.38641i −0.197306 0.980342i
\(3\) 0.959493 0.281733i 0.553964 0.162658i
\(4\) −1.84428 + 0.773709i −0.922141 + 0.386854i
\(5\) −3.59098 2.30779i −1.60594 1.03207i −0.964210 0.265140i \(-0.914582\pi\)
−0.641727 0.766933i \(-0.721782\pi\)
\(6\) −0.658327 1.25164i −0.268761 0.510980i
\(7\) −0.294270 2.04669i −0.111223 0.773576i −0.966733 0.255789i \(-0.917665\pi\)
0.855509 0.517787i \(-0.173244\pi\)
\(8\) 1.58729 + 2.34105i 0.561193 + 0.827685i
\(9\) 0.841254 0.540641i 0.280418 0.180214i
\(10\) −2.19754 + 5.62253i −0.694924 + 1.77800i
\(11\) −0.345243 0.157667i −0.104095 0.0475384i 0.362687 0.931911i \(-0.381859\pi\)
−0.466782 + 0.884373i \(0.654587\pi\)
\(12\) −1.55160 + 1.26196i −0.447907 + 0.364297i
\(13\) 1.46541 + 0.210693i 0.406430 + 0.0584359i 0.342498 0.939518i \(-0.388727\pi\)
0.0639319 + 0.997954i \(0.479636\pi\)
\(14\) −2.75545 + 0.979072i −0.736424 + 0.261668i
\(15\) −4.09570 1.20261i −1.05751 0.310512i
\(16\) 2.80275 2.85387i 0.700687 0.713468i
\(17\) −5.73428 + 4.96879i −1.39077 + 1.20511i −0.438924 + 0.898524i \(0.644640\pi\)
−0.951844 + 0.306583i \(0.900814\pi\)
\(18\) −0.984289 1.01547i −0.231999 0.239348i
\(19\) −0.119581 0.103618i −0.0274338 0.0237715i 0.641036 0.767511i \(-0.278505\pi\)
−0.668470 + 0.743739i \(0.733050\pi\)
\(20\) 8.40834 + 1.47783i 1.88016 + 0.330453i
\(21\) −0.858969 1.88088i −0.187442 0.410442i
\(22\) −0.122258 + 0.522643i −0.0260654 + 0.111428i
\(23\) −4.78009 0.388232i −0.996718 0.0809519i
\(24\) 2.18255 + 1.79902i 0.445510 + 0.367224i
\(25\) 5.49222 + 12.0263i 1.09844 + 2.40526i
\(26\) −0.116788 2.09045i −0.0229039 0.409970i
\(27\) 0.654861 0.755750i 0.126028 0.145444i
\(28\) 2.12626 + 3.54699i 0.401825 + 0.670319i
\(29\) 2.74809 2.38123i 0.510307 0.442183i −0.361256 0.932467i \(-0.617652\pi\)
0.871563 + 0.490283i \(0.163107\pi\)
\(30\) −0.524475 + 6.01390i −0.0957556 + 1.09798i
\(31\) −1.90564 + 6.49003i −0.342264 + 1.16564i 0.591066 + 0.806623i \(0.298707\pi\)
−0.933330 + 0.359020i \(0.883111\pi\)
\(32\) −4.73871 3.08944i −0.837693 0.546142i
\(33\) −0.375678 0.0540143i −0.0653971 0.00940269i
\(34\) 8.48884 + 6.56363i 1.45582 + 1.12565i
\(35\) −3.66660 + 8.02874i −0.619769 + 1.35710i
\(36\) −1.13321 + 1.64798i −0.188868 + 0.274663i
\(37\) −2.39963 + 1.54215i −0.394497 + 0.253528i −0.722818 0.691039i \(-0.757153\pi\)
0.328321 + 0.944566i \(0.393517\pi\)
\(38\) −0.110290 + 0.194701i −0.0178914 + 0.0315847i
\(39\) 1.46541 0.210693i 0.234653 0.0337380i
\(40\) −0.297317 12.0698i −0.0470100 1.90840i
\(41\) −7.43796 4.78008i −1.16161 0.746524i −0.189696 0.981843i \(-0.560750\pi\)
−0.971918 + 0.235319i \(0.924386\pi\)
\(42\) −2.36800 + 1.71571i −0.365390 + 0.264740i
\(43\) −3.24224 11.0421i −0.494438 1.68390i −0.707379 0.706835i \(-0.750122\pi\)
0.212941 0.977065i \(-0.431696\pi\)
\(44\) 0.758713 + 0.0236652i 0.114380 + 0.00356766i
\(45\) −4.26861 −0.636327
\(46\) 0.795552 + 6.73551i 0.117298 + 0.993097i
\(47\) 4.36154i 0.636196i 0.948058 + 0.318098i \(0.103044\pi\)
−0.948058 + 0.318098i \(0.896956\pi\)
\(48\) 1.88519 3.52790i 0.272104 0.509208i
\(49\) 2.61411 0.767571i 0.373444 0.109653i
\(50\) 15.1409 10.9702i 2.14124 1.55142i
\(51\) −4.10214 + 6.38305i −0.574414 + 0.893806i
\(52\) −2.86564 + 0.745219i −0.397392 + 0.103343i
\(53\) −0.643817 4.47785i −0.0884351 0.615079i −0.985050 0.172268i \(-0.944890\pi\)
0.896615 0.442811i \(-0.146019\pi\)
\(54\) −1.23051 0.697029i −0.167451 0.0948536i
\(55\) 0.875900 + 1.36293i 0.118106 + 0.183777i
\(56\) 4.32430 3.93760i 0.577859 0.526184i
\(57\) −0.143930 0.0657304i −0.0190639 0.00870621i
\(58\) −4.06817 3.14554i −0.534177 0.413030i
\(59\) 1.20174 8.35829i 0.156453 1.08816i −0.748650 0.662965i \(-0.769298\pi\)
0.905104 0.425191i \(-0.139793\pi\)
\(60\) 8.48410 0.950935i 1.09529 0.122765i
\(61\) −12.3508 3.62652i −1.58136 0.464328i −0.631076 0.775721i \(-0.717386\pi\)
−0.950281 + 0.311392i \(0.899205\pi\)
\(62\) 9.52960 + 0.831081i 1.21026 + 0.105547i
\(63\) −1.35408 1.56269i −0.170598 0.196881i
\(64\) −2.96099 + 7.43186i −0.370124 + 0.928982i
\(65\) −4.77601 4.13844i −0.592391 0.513310i
\(66\) 0.0299402 + 0.535917i 0.00368539 + 0.0659668i
\(67\) 0.187409 0.0855868i 0.0228957 0.0104561i −0.403934 0.914788i \(-0.632358\pi\)
0.426830 + 0.904332i \(0.359630\pi\)
\(68\) 6.73124 13.6005i 0.816283 1.64930i
\(69\) −4.69584 + 0.974202i −0.565313 + 0.117280i
\(70\) 12.1543 + 2.84315i 1.45271 + 0.339821i
\(71\) 1.71209 0.781884i 0.203187 0.0927926i −0.311222 0.950337i \(-0.600738\pi\)
0.514410 + 0.857545i \(0.328011\pi\)
\(72\) 2.60098 + 1.11126i 0.306529 + 0.130963i
\(73\) 8.18492 9.44590i 0.957972 1.10556i −0.0363708 0.999338i \(-0.511580\pi\)
0.994343 0.106220i \(-0.0338748\pi\)
\(74\) 2.80763 + 2.89657i 0.326380 + 0.336719i
\(75\) 8.65794 + 9.99179i 0.999733 + 1.15375i
\(76\) 0.300711 + 0.0985790i 0.0344939 + 0.0113078i
\(77\) −0.221101 + 0.753002i −0.0251968 + 0.0858125i
\(78\) −0.701004 1.97287i −0.0793731 0.223383i
\(79\) −0.244048 + 1.69739i −0.0274575 + 0.190971i −0.998934 0.0461655i \(-0.985300\pi\)
0.971476 + 0.237137i \(0.0762089\pi\)
\(80\) −16.6508 + 3.78007i −1.86161 + 0.422625i
\(81\) 0.415415 0.909632i 0.0461572 0.101070i
\(82\) −4.55174 + 11.6459i −0.502655 + 1.28607i
\(83\) 7.42113 + 11.5475i 0.814575 + 1.26750i 0.960520 + 0.278211i \(0.0897414\pi\)
−0.145945 + 0.989293i \(0.546622\pi\)
\(84\) 3.03943 + 2.80428i 0.331629 + 0.305972i
\(85\) 32.0586 4.60933i 3.47724 0.499952i
\(86\) −14.4042 + 7.57619i −1.55324 + 0.816961i
\(87\) 1.96590 3.05900i 0.210767 0.327959i
\(88\) −0.178896 1.05849i −0.0190704 0.112836i
\(89\) −2.15502 7.33933i −0.228432 0.777967i −0.991324 0.131441i \(-0.958040\pi\)
0.762892 0.646526i \(-0.223779\pi\)
\(90\) 1.19108 + 5.91806i 0.125551 + 0.623818i
\(91\) 3.06123i 0.320904i
\(92\) 9.11621 2.98239i 0.950431 0.310936i
\(93\) 6.76402i 0.701396i
\(94\) 6.04690 1.21701i 0.623690 0.125525i
\(95\) 0.190286 + 0.648056i 0.0195230 + 0.0664892i
\(96\) −5.41715 1.62925i −0.552886 0.166285i
\(97\) 0.221436 0.344561i 0.0224834 0.0349849i −0.829830 0.558016i \(-0.811563\pi\)
0.852313 + 0.523031i \(0.175199\pi\)
\(98\) −1.79359 3.41005i −0.181180 0.344467i
\(99\) −0.375678 + 0.0540143i −0.0377571 + 0.00542865i
\(100\) −19.4340 17.9305i −1.94340 1.79305i
\(101\) −7.62481 11.8644i −0.758697 1.18056i −0.978748 0.205068i \(-0.934259\pi\)
0.220051 0.975488i \(-0.429378\pi\)
\(102\) 9.99417 + 3.90618i 0.989570 + 0.386769i
\(103\) −6.06358 + 13.2774i −0.597463 + 1.30826i 0.333364 + 0.942798i \(0.391816\pi\)
−0.930826 + 0.365462i \(0.880911\pi\)
\(104\) 1.83279 + 3.76501i 0.179720 + 0.369190i
\(105\) −1.25612 + 8.73652i −0.122585 + 0.852597i
\(106\) −6.02850 + 2.14206i −0.585539 + 0.208055i
\(107\) −0.503100 + 1.71340i −0.0486365 + 0.165641i −0.980230 0.197861i \(-0.936601\pi\)
0.931594 + 0.363501i \(0.118419\pi\)
\(108\) −0.623018 + 1.90049i −0.0599499 + 0.182874i
\(109\) −3.02733 3.49373i −0.289966 0.334639i 0.592012 0.805929i \(-0.298334\pi\)
−0.881978 + 0.471291i \(0.843788\pi\)
\(110\) 1.64517 1.59466i 0.156861 0.152045i
\(111\) −1.86795 + 2.15573i −0.177298 + 0.204613i
\(112\) −6.66576 4.89655i −0.629855 0.462681i
\(113\) 5.67629 2.59227i 0.533980 0.243861i −0.130128 0.991497i \(-0.541539\pi\)
0.664108 + 0.747637i \(0.268811\pi\)
\(114\) −0.0509685 + 0.217887i −0.00477364 + 0.0204070i
\(115\) 16.2693 + 12.4256i 1.51712 + 1.15869i
\(116\) −3.22587 + 6.51788i −0.299514 + 0.605170i
\(117\) 1.34669 0.615011i 0.124501 0.0568578i
\(118\) −11.9234 + 0.666126i −1.09763 + 0.0613219i
\(119\) 11.8570 + 10.2741i 1.08693 + 0.941829i
\(120\) −3.68573 11.4971i −0.336459 1.04954i
\(121\) −7.10913 8.20438i −0.646285 0.745853i
\(122\) −1.58158 + 18.1352i −0.143190 + 1.64189i
\(123\) −8.48337 2.49094i −0.764920 0.224601i
\(124\) −1.50685 13.4439i −0.135319 1.20729i
\(125\) 4.99417 34.7352i 0.446692 3.10681i
\(126\) −1.78870 + 2.31335i −0.159350 + 0.206090i
\(127\) −7.09945 3.24221i −0.629974 0.287700i 0.0747267 0.997204i \(-0.476192\pi\)
−0.704701 + 0.709504i \(0.748919\pi\)
\(128\) 11.1298 + 2.03143i 0.983748 + 0.179555i
\(129\) −6.22182 9.68134i −0.547801 0.852395i
\(130\) −4.40492 + 7.77628i −0.386337 + 0.682025i
\(131\) 0.279600 + 1.94466i 0.0244287 + 0.169906i 0.998383 0.0568369i \(-0.0181015\pi\)
−0.973955 + 0.226742i \(0.927192\pi\)
\(132\) 0.734647 0.191048i 0.0639428 0.0166286i
\(133\) −0.176884 + 0.275237i −0.0153378 + 0.0238661i
\(134\) −0.170952 0.235945i −0.0147680 0.0203825i
\(135\) −4.09570 + 1.20261i −0.352502 + 0.103504i
\(136\) −20.7342 5.53730i −1.77794 0.474819i
\(137\) 0.635457i 0.0542907i 0.999631 + 0.0271454i \(0.00864170\pi\)
−0.999631 + 0.0271454i \(0.991358\pi\)
\(138\) 2.66094 + 6.23854i 0.226514 + 0.531060i
\(139\) −18.4461 −1.56458 −0.782288 0.622917i \(-0.785947\pi\)
−0.782288 + 0.622917i \(0.785947\pi\)
\(140\) 0.550342 17.6441i 0.0465124 1.49120i
\(141\) 1.22879 + 4.18487i 0.103483 + 0.352430i
\(142\) −1.56174 2.15549i −0.131059 0.180885i
\(143\) −0.472701 0.303787i −0.0395293 0.0254039i
\(144\) 0.814903 3.91611i 0.0679085 0.326343i
\(145\) −15.3637 + 2.20897i −1.27589 + 0.183445i
\(146\) −15.3798 8.71196i −1.27284 0.721007i
\(147\) 2.29197 1.47296i 0.189038 0.121487i
\(148\) 3.23242 4.70077i 0.265703 0.386401i
\(149\) 4.41655 9.67089i 0.361818 0.792270i −0.637936 0.770089i \(-0.720212\pi\)
0.999754 0.0221809i \(-0.00706099\pi\)
\(150\) 11.4369 14.7915i 0.933819 1.20772i
\(151\) 17.0749 + 2.45499i 1.38953 + 0.199785i 0.796132 0.605123i \(-0.206876\pi\)
0.593400 + 0.804907i \(0.297785\pi\)
\(152\) 0.0527631 0.444416i 0.00427966 0.0360469i
\(153\) −2.13766 + 7.28020i −0.172819 + 0.588569i
\(154\) 1.10567 + 0.0964256i 0.0890971 + 0.00777020i
\(155\) 21.8207 18.9078i 1.75268 1.51871i
\(156\) −2.53960 + 1.52237i −0.203331 + 0.121888i
\(157\) −1.02070 + 1.17796i −0.0814611 + 0.0940111i −0.795017 0.606587i \(-0.792538\pi\)
0.713556 + 0.700598i \(0.247084\pi\)
\(158\) 2.42138 0.135276i 0.192635 0.0107620i
\(159\) −1.87929 4.11508i −0.149038 0.326347i
\(160\) 9.88684 + 22.0301i 0.781623 + 1.74163i
\(161\) 0.612046 + 9.89761i 0.0482359 + 0.780041i
\(162\) −1.37704 0.322120i −0.108190 0.0253081i
\(163\) −2.77259 6.07112i −0.217166 0.475526i 0.769426 0.638736i \(-0.220543\pi\)
−0.986591 + 0.163210i \(0.947815\pi\)
\(164\) 17.4161 + 3.06101i 1.35997 + 0.239025i
\(165\) 1.22440 + 1.06095i 0.0953194 + 0.0825947i
\(166\) 13.9389 13.5109i 1.08187 1.04865i
\(167\) −13.6547 + 11.8319i −1.05663 + 0.915578i −0.996581 0.0826171i \(-0.973672\pi\)
−0.0600522 + 0.998195i \(0.519127\pi\)
\(168\) 3.03979 4.99639i 0.234525 0.385480i
\(169\) −10.3704 3.04502i −0.797722 0.234232i
\(170\) −15.3358 43.1603i −1.17620 3.31025i
\(171\) −0.156618 0.0225182i −0.0119769 0.00172201i
\(172\) 14.5230 + 17.8561i 1.10736 + 1.36152i
\(173\) 12.7187 + 5.80844i 0.966985 + 0.441607i 0.835367 0.549693i \(-0.185255\pi\)
0.131618 + 0.991300i \(0.457983\pi\)
\(174\) −4.78959 1.87199i −0.363098 0.141915i
\(175\) 22.9979 14.7798i 1.73848 1.11725i
\(176\) −1.41759 + 0.543378i −0.106855 + 0.0409586i
\(177\) −1.20174 8.35829i −0.0903283 0.628247i
\(178\) −9.57401 + 5.03566i −0.717603 + 0.377439i
\(179\) −8.28950 5.32734i −0.619587 0.398184i 0.192855 0.981227i \(-0.438225\pi\)
−0.812441 + 0.583043i \(0.801862\pi\)
\(180\) 7.87252 3.30266i 0.586783 0.246166i
\(181\) 8.78571 2.57972i 0.653037 0.191749i 0.0616007 0.998101i \(-0.480379\pi\)
0.591436 + 0.806352i \(0.298561\pi\)
\(182\) −4.24413 + 0.854183i −0.314596 + 0.0633163i
\(183\) −12.8722 −0.951541
\(184\) −6.67854 11.8067i −0.492349 0.870398i
\(185\) 12.1760 0.895195
\(186\) 9.37772 1.88738i 0.687608 0.138390i
\(187\) 2.76313 0.811329i 0.202060 0.0593303i
\(188\) −3.37456 8.04391i −0.246115 0.586663i
\(189\) −1.73949 1.11790i −0.126529 0.0813155i
\(190\) 0.845377 0.444644i 0.0613301 0.0322579i
\(191\) −1.32120 9.18912i −0.0955984 0.664902i −0.980120 0.198403i \(-0.936424\pi\)
0.884522 0.466498i \(-0.154485\pi\)
\(192\) −0.747255 + 7.96502i −0.0539285 + 0.574826i
\(193\) −2.06997 + 1.33029i −0.149000 + 0.0957564i −0.613017 0.790070i \(-0.710044\pi\)
0.464017 + 0.885826i \(0.346408\pi\)
\(194\) −0.539492 0.210858i −0.0387333 0.0151387i
\(195\) −5.74848 2.62524i −0.411657 0.187998i
\(196\) −4.22727 + 3.43817i −0.301948 + 0.245584i
\(197\) −8.14701 1.17136i −0.580450 0.0834561i −0.154165 0.988045i \(-0.549269\pi\)
−0.426285 + 0.904589i \(0.640178\pi\)
\(198\) 0.179713 + 0.505773i 0.0127716 + 0.0359437i
\(199\) 0.129699 + 0.0380831i 0.00919414 + 0.00269964i 0.286326 0.958132i \(-0.407566\pi\)
−0.277132 + 0.960832i \(0.589384\pi\)
\(200\) −19.4363 + 31.9468i −1.37435 + 2.25898i
\(201\) 0.155705 0.134919i 0.0109826 0.00951647i
\(202\) −14.3214 + 13.8817i −1.00765 + 0.976713i
\(203\) −5.68232 4.92376i −0.398821 0.345580i
\(204\) 2.62687 14.9460i 0.183918 1.04643i
\(205\) 15.6782 + 34.3304i 1.09501 + 2.39774i
\(206\) 20.0999 + 4.70180i 1.40043 + 0.327590i
\(207\) −4.23116 + 2.25771i −0.294086 + 0.156922i
\(208\) 4.70846 3.59156i 0.326473 0.249030i
\(209\) 0.0249474 + 0.0546272i 0.00172565 + 0.00377864i
\(210\) 12.4629 0.696270i 0.860024 0.0480472i
\(211\) −8.78261 + 10.1357i −0.604620 + 0.697768i −0.972711 0.232021i \(-0.925466\pi\)
0.368091 + 0.929790i \(0.380012\pi\)
\(212\) 4.65193 + 7.76028i 0.319496 + 0.532978i
\(213\) 1.42245 1.23256i 0.0974649 0.0844538i
\(214\) 2.51586 + 0.219410i 0.171981 + 0.0149985i
\(215\) −13.8399 + 47.1343i −0.943872 + 3.21453i
\(216\) 2.80870 + 0.333462i 0.191108 + 0.0226892i
\(217\) 13.8438 + 1.99044i 0.939782 + 0.135120i
\(218\) −3.99903 + 5.17200i −0.270848 + 0.350292i
\(219\) 5.19215 11.3692i 0.350853 0.768261i
\(220\) −2.66991 1.83593i −0.180006 0.123778i
\(221\) −9.44994 + 6.07311i −0.635672 + 0.408521i
\(222\) 3.50996 + 1.98824i 0.235573 + 0.133442i
\(223\) 6.13073 0.881466i 0.410544 0.0590273i 0.0660512 0.997816i \(-0.478960\pi\)
0.344493 + 0.938789i \(0.388051\pi\)
\(224\) −4.92868 + 10.6078i −0.329311 + 0.708763i
\(225\) 11.1222 + 7.14783i 0.741483 + 0.476522i
\(226\) −5.17783 7.14635i −0.344424 0.475368i
\(227\) 1.86220 + 6.34206i 0.123598 + 0.420937i 0.997924 0.0644024i \(-0.0205141\pi\)
−0.874326 + 0.485340i \(0.838696\pi\)
\(228\) 0.316303 + 0.00986587i 0.0209477 + 0.000653383i
\(229\) −4.24638 −0.280608 −0.140304 0.990108i \(-0.544808\pi\)
−0.140304 + 0.990108i \(0.544808\pi\)
\(230\) 12.6873 26.0231i 0.836576 1.71591i
\(231\) 0.784791i 0.0516355i
\(232\) 9.93659 + 2.65368i 0.652369 + 0.174223i
\(233\) 0.0975530 0.0286442i 0.00639091 0.00187654i −0.278536 0.960426i \(-0.589849\pi\)
0.284926 + 0.958549i \(0.408031\pi\)
\(234\) −1.22843 1.69546i −0.0803049 0.110835i
\(235\) 10.0655 15.6622i 0.656601 1.02169i
\(236\) 4.25053 + 16.3448i 0.276686 + 1.06396i
\(237\) 0.244048 + 1.69739i 0.0158526 + 0.110257i
\(238\) 10.9357 19.3055i 0.708857 1.25139i
\(239\) 6.93709 + 10.7943i 0.448723 + 0.698227i 0.989755 0.142775i \(-0.0456026\pi\)
−0.541032 + 0.841002i \(0.681966\pi\)
\(240\) −14.9113 + 8.31801i −0.962521 + 0.536925i
\(241\) −1.04584 0.477620i −0.0673687 0.0307662i 0.381446 0.924391i \(-0.375426\pi\)
−0.448814 + 0.893625i \(0.648154\pi\)
\(242\) −9.39098 + 12.1455i −0.603675 + 0.780741i
\(243\) 0.142315 0.989821i 0.00912950 0.0634971i
\(244\) 25.5842 2.86759i 1.63786 0.183579i
\(245\) −11.1586 3.27646i −0.712897 0.209325i
\(246\) −1.08634 + 12.4565i −0.0692624 + 0.794198i
\(247\) −0.153403 0.177037i −0.00976081 0.0112646i
\(248\) −18.2183 + 5.84038i −1.15686 + 0.370865i
\(249\) 10.3738 + 8.98898i 0.657415 + 0.569653i
\(250\) −49.5509 + 2.76827i −3.13387 + 0.175081i
\(251\) −11.6481 + 5.31949i −0.735219 + 0.335763i −0.747590 0.664160i \(-0.768789\pi\)
0.0123715 + 0.999923i \(0.496062\pi\)
\(252\) 3.70637 + 1.83438i 0.233479 + 0.115555i
\(253\) 1.58908 + 0.887697i 0.0999047 + 0.0558091i
\(254\) −2.51406 + 10.7475i −0.157746 + 0.674355i
\(255\) 29.4614 13.4546i 1.84495 0.842558i
\(256\) −0.289189 15.9974i −0.0180743 0.999837i
\(257\) −5.05119 + 5.82938i −0.315084 + 0.363627i −0.891096 0.453815i \(-0.850063\pi\)
0.576012 + 0.817441i \(0.304608\pi\)
\(258\) −11.6862 + 11.3274i −0.727554 + 0.705214i
\(259\) 3.86244 + 4.45749i 0.240000 + 0.276975i
\(260\) 12.0103 + 3.93720i 0.744844 + 0.244175i
\(261\) 1.02445 3.48895i 0.0634117 0.215960i
\(262\) 2.61808 0.930263i 0.161746 0.0574719i
\(263\) 1.44397 10.0430i 0.0890389 0.619279i −0.895624 0.444812i \(-0.853271\pi\)
0.984663 0.174467i \(-0.0558203\pi\)
\(264\) −0.469862 0.965216i −0.0289180 0.0594049i
\(265\) −8.02197 + 17.5657i −0.492786 + 1.07905i
\(266\) 0.430948 + 0.168434i 0.0264231 + 0.0103274i
\(267\) −4.13545 6.43489i −0.253086 0.393809i
\(268\) −0.279416 + 0.302846i −0.0170680 + 0.0184993i
\(269\) 3.24840 0.467049i 0.198058 0.0284765i −0.0425716 0.999093i \(-0.513555\pi\)
0.240630 + 0.970617i \(0.422646\pi\)
\(270\) 2.81014 + 5.34277i 0.171020 + 0.325150i
\(271\) 10.4667 16.2865i 0.635807 0.989335i −0.362546 0.931966i \(-0.618093\pi\)
0.998353 0.0573689i \(-0.0182711\pi\)
\(272\) −1.89148 + 30.2912i −0.114688 + 1.83667i
\(273\) −0.862448 2.93723i −0.0521978 0.177769i
\(274\) 0.881006 0.177313i 0.0532235 0.0107119i
\(275\) 5.01793i 0.302592i
\(276\) 7.90671 5.42992i 0.475928 0.326843i
\(277\) 7.20407i 0.432851i −0.976299 0.216425i \(-0.930560\pi\)
0.976299 0.216425i \(-0.0694398\pi\)
\(278\) 5.14706 + 25.5739i 0.308700 + 1.53382i
\(279\) 1.90564 + 6.49003i 0.114088 + 0.388548i
\(280\) −24.6156 + 4.16029i −1.47107 + 0.248625i
\(281\) −1.28826 + 2.00457i −0.0768511 + 0.119583i −0.877552 0.479482i \(-0.840824\pi\)
0.800700 + 0.599065i \(0.204461\pi\)
\(282\) 5.45908 2.87132i 0.325084 0.170985i
\(283\) 5.49957 0.790719i 0.326916 0.0470034i 0.0230970 0.999733i \(-0.492647\pi\)
0.303819 + 0.952730i \(0.401738\pi\)
\(284\) −2.55262 + 2.76667i −0.151470 + 0.164172i
\(285\) 0.365157 + 0.568195i 0.0216300 + 0.0336570i
\(286\) −0.289275 + 0.740125i −0.0171052 + 0.0437645i
\(287\) −7.59459 + 16.6298i −0.448294 + 0.981628i
\(288\) −5.65673 0.0370686i −0.333326 0.00218429i
\(289\) 5.77383 40.1579i 0.339637 2.36223i
\(290\) 7.34951 + 20.6841i 0.431578 + 1.21461i
\(291\) 0.115392 0.392990i 0.00676442 0.0230375i
\(292\) −7.78692 + 23.7536i −0.455695 + 1.39008i
\(293\) 18.2946 + 21.1131i 1.06878 + 1.23344i 0.971212 + 0.238215i \(0.0765623\pi\)
0.0975723 + 0.995228i \(0.468892\pi\)
\(294\) −2.68166 2.76661i −0.156398 0.161352i
\(295\) −23.6046 + 27.2411i −1.37431 + 1.58604i
\(296\) −7.41916 3.16980i −0.431230 0.184241i
\(297\) −0.345243 + 0.157667i −0.0200330 + 0.00914877i
\(298\) −14.6402 3.42466i −0.848084 0.198385i
\(299\) −6.92297 1.57605i −0.400366 0.0911454i
\(300\) −23.6984 11.7290i −1.36823 0.677172i
\(301\) −21.6456 + 9.88521i −1.24763 + 0.569774i
\(302\) −1.36081 24.3578i −0.0783056 1.40164i
\(303\) −10.6586 9.23569i −0.612318 0.530577i
\(304\) −0.630867 + 0.0508551i −0.0361827 + 0.00291674i
\(305\) 35.9823 + 41.5258i 2.06034 + 2.37776i
\(306\) 10.6898 + 0.932266i 0.611097 + 0.0532941i
\(307\) 25.2134 + 7.40333i 1.43901 + 0.422531i 0.905891 0.423511i \(-0.139203\pi\)
0.533116 + 0.846042i \(0.321021\pi\)
\(308\) −0.174831 1.55981i −0.00996192 0.0888787i
\(309\) −2.07729 + 14.4479i −0.118173 + 0.821911i
\(310\) −32.3027 24.9767i −1.83467 1.41858i
\(311\) −17.0478 7.78546i −0.966691 0.441473i −0.131429 0.991326i \(-0.541957\pi\)
−0.835262 + 0.549853i \(0.814684\pi\)
\(312\) 2.81927 + 3.09615i 0.159610 + 0.175285i
\(313\) 11.6361 + 18.1061i 0.657709 + 1.02342i 0.996584 + 0.0825840i \(0.0263173\pi\)
−0.338875 + 0.940831i \(0.610046\pi\)
\(314\) 1.91794 + 1.08643i 0.108236 + 0.0613108i
\(315\) 1.25612 + 8.73652i 0.0707745 + 0.492247i
\(316\) −0.863192 3.31928i −0.0485583 0.186724i
\(317\) 13.3058 20.7043i 0.747329 1.16287i −0.234318 0.972160i \(-0.575286\pi\)
0.981647 0.190707i \(-0.0610781\pi\)
\(318\) −5.18081 + 3.75372i −0.290526 + 0.210498i
\(319\) −1.32420 + 0.388820i −0.0741409 + 0.0217697i
\(320\) 27.7840 19.8543i 1.55317 1.10989i
\(321\) 1.78574i 0.0996701i
\(322\) 13.5514 3.61030i 0.755190 0.201194i
\(323\) 1.20056 0.0668012
\(324\) −0.0623521 + 1.99903i −0.00346401 + 0.111057i
\(325\) 5.51447 + 18.7805i 0.305888 + 1.04176i
\(326\) −7.64343 + 5.53799i −0.423331 + 0.306721i
\(327\) −3.88900 2.49931i −0.215062 0.138212i
\(328\) −0.615829 25.0000i −0.0340035 1.38039i
\(329\) 8.92672 1.28347i 0.492146 0.0707599i
\(330\) 1.12927 1.99356i 0.0621640 0.109742i
\(331\) 7.17662 4.61213i 0.394463 0.253506i −0.328341 0.944559i \(-0.606489\pi\)
0.722804 + 0.691053i \(0.242853\pi\)
\(332\) −22.6211 15.5551i −1.24149 0.853695i
\(333\) −1.18495 + 2.59467i −0.0649348 + 0.142187i
\(334\) 20.2140 + 15.6296i 1.10606 + 0.855213i
\(335\) −0.870499 0.125159i −0.0475604 0.00683816i
\(336\) −7.77527 2.82025i −0.424176 0.153857i
\(337\) 6.91811 23.5609i 0.376854 1.28345i −0.524888 0.851171i \(-0.675893\pi\)
0.901742 0.432275i \(-0.142289\pi\)
\(338\) −1.32798 + 15.2273i −0.0722326 + 0.828256i
\(339\) 4.71603 4.08646i 0.256140 0.221946i
\(340\) −55.5588 + 33.3049i −3.01310 + 1.80621i
\(341\) 1.68117 1.94018i 0.0910407 0.105067i
\(342\) 0.0124819 + 0.223420i 0.000674943 + 0.0120812i
\(343\) −8.35301 18.2905i −0.451020 0.987597i
\(344\) 20.7036 25.1173i 1.11626 1.35423i
\(345\) 19.1109 + 7.33865i 1.02890 + 0.395100i
\(346\) 4.50396 19.2541i 0.242134 1.03511i
\(347\) 8.46169 + 18.5285i 0.454248 + 0.994663i 0.988761 + 0.149503i \(0.0477675\pi\)
−0.534514 + 0.845160i \(0.679505\pi\)
\(348\) −1.25890 + 7.16269i −0.0674840 + 0.383960i
\(349\) 21.1787 + 18.3515i 1.13367 + 0.982331i 0.999962 0.00868968i \(-0.00276605\pi\)
0.133708 + 0.991021i \(0.457311\pi\)
\(350\) −26.9081 27.7605i −1.43830 1.48386i
\(351\) 1.11887 0.969505i 0.0597207 0.0517483i
\(352\) 1.14890 + 1.81375i 0.0612366 + 0.0966730i
\(353\) −13.6320 4.00272i −0.725559 0.213043i −0.101961 0.994788i \(-0.532512\pi\)
−0.623598 + 0.781745i \(0.714330\pi\)
\(354\) −11.2527 + 3.99834i −0.598075 + 0.212510i
\(355\) −7.95250 1.14340i −0.422075 0.0606852i
\(356\) 9.65296 + 11.8684i 0.511606 + 0.629025i
\(357\) 14.2713 + 6.51746i 0.755315 + 0.344941i
\(358\) −5.07285 + 12.9792i −0.268109 + 0.685971i
\(359\) 25.6561 16.4882i 1.35408 0.870214i 0.356143 0.934431i \(-0.384092\pi\)
0.997936 + 0.0642178i \(0.0204552\pi\)
\(360\) −6.77554 9.99301i −0.357102 0.526678i
\(361\) −2.70042 18.7818i −0.142127 0.988517i
\(362\) −6.02805 11.4608i −0.316827 0.602366i
\(363\) −9.13261 5.86917i −0.479337 0.308051i
\(364\) 2.36850 + 5.64577i 0.124143 + 0.295919i
\(365\) −51.1910 + 15.0310i −2.67946 + 0.786760i
\(366\) 3.59177 + 17.8462i 0.187745 + 0.932836i
\(367\) 11.0177 0.575119 0.287559 0.957763i \(-0.407156\pi\)
0.287559 + 0.957763i \(0.407156\pi\)
\(368\) −14.5054 + 12.5537i −0.756144 + 0.654405i
\(369\) −8.84152 −0.460271
\(370\) −3.39749 16.8809i −0.176627 0.877598i
\(371\) −8.97531 + 2.63539i −0.465975 + 0.136822i
\(372\) −5.23338 12.4748i −0.271338 0.646786i
\(373\) −29.1942 18.7620i −1.51162 0.971457i −0.993212 0.116322i \(-0.962889\pi\)
−0.518406 0.855135i \(-0.673474\pi\)
\(374\) −1.89584 3.60446i −0.0980317 0.186382i
\(375\) −4.99417 34.7352i −0.257898 1.79372i
\(376\) −10.2106 + 6.92305i −0.526570 + 0.357029i
\(377\) 4.52877 2.91046i 0.233244 0.149897i
\(378\) −1.06450 + 2.72358i −0.0547520 + 0.140086i
\(379\) 0.318531 + 0.145468i 0.0163618 + 0.00747220i 0.423579 0.905859i \(-0.360774\pi\)
−0.407217 + 0.913331i \(0.633501\pi\)
\(380\) −0.852348 1.04797i −0.0437246 0.0537598i
\(381\) −7.72531 1.11073i −0.395780 0.0569045i
\(382\) −12.3713 + 4.39579i −0.632969 + 0.224908i
\(383\) 33.2837 + 9.77296i 1.70072 + 0.499375i 0.980854 0.194743i \(-0.0623873\pi\)
0.719861 + 0.694118i \(0.244206\pi\)
\(384\) 11.2513 1.18650i 0.574167 0.0605481i
\(385\) 2.53174 2.19376i 0.129029 0.111804i
\(386\) 2.42192 + 2.49864i 0.123273 + 0.127178i
\(387\) −8.69734 7.53629i −0.442111 0.383091i
\(388\) −0.141801 + 0.806795i −0.00719883 + 0.0409588i
\(389\) 12.5078 + 27.3882i 0.634169 + 1.38864i 0.904752 + 0.425939i \(0.140056\pi\)
−0.270583 + 0.962697i \(0.587217\pi\)
\(390\) −2.03566 + 8.70230i −0.103080 + 0.440658i
\(391\) 29.3394 21.5250i 1.48376 1.08857i
\(392\) 5.94627 + 4.90138i 0.300332 + 0.247557i
\(393\) 0.816147 + 1.78711i 0.0411692 + 0.0901479i
\(394\) 0.649288 + 11.6220i 0.0327106 + 0.585506i
\(395\) 4.79358 5.53209i 0.241191 0.278349i
\(396\) 0.651065 0.390283i 0.0327172 0.0196125i
\(397\) 13.6022 11.7863i 0.682673 0.591540i −0.242926 0.970045i \(-0.578107\pi\)
0.925599 + 0.378505i \(0.123562\pi\)
\(398\) 0.0166086 0.190443i 0.000832516 0.00954605i
\(399\) −0.0921757 + 0.313922i −0.00461456 + 0.0157157i
\(400\) 49.7148 + 18.0326i 2.48574 + 0.901628i
\(401\) 11.5484 + 1.66040i 0.576698 + 0.0829167i 0.424491 0.905432i \(-0.360453\pi\)
0.152207 + 0.988349i \(0.451362\pi\)
\(402\) −0.230500 0.178225i −0.0114963 0.00888904i
\(403\) −4.15995 + 9.10901i −0.207222 + 0.453752i
\(404\) 23.2419 + 15.9820i 1.15633 + 0.795134i
\(405\) −3.59098 + 2.30779i −0.178437 + 0.114675i
\(406\) −5.24081 + 9.25193i −0.260097 + 0.459166i
\(407\) 1.07160 0.154073i 0.0531173 0.00763711i
\(408\) −21.4543 + 0.528488i −1.06215 + 0.0261640i
\(409\) 2.36281 + 1.51849i 0.116834 + 0.0750844i 0.597753 0.801681i \(-0.296061\pi\)
−0.480919 + 0.876765i \(0.659697\pi\)
\(410\) 43.2214 31.3157i 2.13455 1.54657i
\(411\) 0.179029 + 0.609716i 0.00883084 + 0.0300751i
\(412\) 0.910119 29.1787i 0.0448383 1.43753i
\(413\) −17.4605 −0.859173
\(414\) 4.31075 + 5.23616i 0.211862 + 0.257343i
\(415\) 58.5933i 2.87623i
\(416\) −6.29320 5.52570i −0.308549 0.270920i
\(417\) −17.6989 + 5.19686i −0.866718 + 0.254491i
\(418\) 0.0687747 0.0498302i 0.00336388 0.00243727i
\(419\) 5.23777 8.15013i 0.255882 0.398160i −0.689417 0.724364i \(-0.742133\pi\)
0.945299 + 0.326204i \(0.105770\pi\)
\(420\) −4.44288 17.0845i −0.216790 0.833637i
\(421\) −0.610005 4.24268i −0.0297298 0.206775i 0.969542 0.244924i \(-0.0787631\pi\)
−0.999272 + 0.0381486i \(0.987854\pi\)
\(422\) 16.5029 + 9.34814i 0.803347 + 0.455060i
\(423\) 2.35803 + 3.66916i 0.114651 + 0.178401i
\(424\) 9.46091 8.61486i 0.459463 0.418375i
\(425\) −91.2499 41.6724i −4.42627 2.02141i
\(426\) −2.10575 1.62818i −0.102024 0.0788857i
\(427\) −3.78790 + 26.3454i −0.183309 + 1.27494i
\(428\) −0.397815 3.54925i −0.0192291 0.171559i
\(429\) −0.539140 0.158306i −0.0260299 0.00764308i
\(430\) 69.2094 + 6.03578i 3.33757 + 0.291071i
\(431\) 9.07905 + 10.4778i 0.437322 + 0.504697i 0.931036 0.364928i \(-0.118906\pi\)
−0.493713 + 0.869625i \(0.664361\pi\)
\(432\) −0.321403 3.98707i −0.0154635 0.191828i
\(433\) −8.38424 7.26499i −0.402921 0.349133i 0.429704 0.902970i \(-0.358618\pi\)
−0.832625 + 0.553837i \(0.813163\pi\)
\(434\) −1.10331 19.7487i −0.0529604 0.947967i
\(435\) −14.1190 + 6.44794i −0.676956 + 0.309155i
\(436\) 8.28638 + 4.10115i 0.396846 + 0.196409i
\(437\) 0.531381 + 0.541726i 0.0254194 + 0.0259143i
\(438\) −17.2112 4.02608i −0.822384 0.192374i
\(439\) −11.8431 + 5.40854i −0.565238 + 0.258136i −0.677475 0.735546i \(-0.736926\pi\)
0.112237 + 0.993682i \(0.464199\pi\)
\(440\) −1.80036 + 4.21389i −0.0858289 + 0.200889i
\(441\) 1.78415 2.05901i 0.0849593 0.0980483i
\(442\) 11.0567 + 11.4069i 0.525912 + 0.542572i
\(443\) 14.9110 + 17.2082i 0.708443 + 0.817587i 0.989867 0.141996i \(-0.0453521\pi\)
−0.281424 + 0.959584i \(0.590807\pi\)
\(444\) 1.77712 5.42103i 0.0843385 0.257271i
\(445\) −9.19894 + 31.3287i −0.436072 + 1.48512i
\(446\) −2.93275 8.25377i −0.138870 0.390827i
\(447\) 1.51304 10.5234i 0.0715644 0.497741i
\(448\) 16.0820 + 3.87326i 0.759805 + 0.182995i
\(449\) −3.98993 + 8.73672i −0.188296 + 0.412311i −0.980111 0.198450i \(-0.936409\pi\)
0.791815 + 0.610761i \(0.209137\pi\)
\(450\) 6.80638 17.4145i 0.320856 0.820927i
\(451\) 1.81424 + 2.82301i 0.0854292 + 0.132930i
\(452\) −8.46301 + 9.17268i −0.398067 + 0.431446i
\(453\) 17.0749 2.45499i 0.802247 0.115346i
\(454\) 8.27310 4.35141i 0.388276 0.204222i
\(455\) −7.06466 + 10.9928i −0.331197 + 0.515352i
\(456\) −0.0745806 0.441279i −0.00349256 0.0206648i
\(457\) −9.95591 33.9067i −0.465718 1.58609i −0.772958 0.634457i \(-0.781224\pi\)
0.307240 0.951632i \(-0.400595\pi\)
\(458\) 1.18488 + 5.88723i 0.0553657 + 0.275092i
\(459\) 7.58755i 0.354156i
\(460\) −39.6189 10.3285i −1.84724 0.481571i
\(461\) 1.91205i 0.0890532i 0.999008 + 0.0445266i \(0.0141779\pi\)
−0.999008 + 0.0445266i \(0.985822\pi\)
\(462\) 1.08804 0.218982i 0.0506204 0.0101880i
\(463\) 7.57972 + 25.8141i 0.352259 + 1.19968i 0.925006 + 0.379952i \(0.124060\pi\)
−0.572747 + 0.819732i \(0.694122\pi\)
\(464\) 0.906468 14.5167i 0.0420817 0.673920i
\(465\) 15.6099 24.2895i 0.723892 1.12640i
\(466\) −0.0669331 0.127256i −0.00310062 0.00589503i
\(467\) −34.7923 + 5.00238i −1.61000 + 0.231482i −0.887808 0.460214i \(-0.847773\pi\)
−0.722188 + 0.691697i \(0.756863\pi\)
\(468\) −2.00783 + 2.17620i −0.0928120 + 0.100595i
\(469\) −0.230318 0.358383i −0.0106351 0.0165486i
\(470\) −24.5229 9.58467i −1.13116 0.442108i
\(471\) −0.647490 + 1.41781i −0.0298348 + 0.0653290i
\(472\) 21.4747 10.4537i 0.988451 0.481172i
\(473\) −0.621610 + 4.32339i −0.0285816 + 0.198790i
\(474\) 2.28518 0.811978i 0.104962 0.0372954i
\(475\) 0.589368 2.00720i 0.0270421 0.0920969i
\(476\) −29.8168 9.77455i −1.36665 0.448016i
\(477\) −2.96252 3.41893i −0.135644 0.156542i
\(478\) 13.0297 12.6296i 0.595966 0.577666i
\(479\) 9.32003 10.7559i 0.425843 0.491449i −0.501765 0.865004i \(-0.667316\pi\)
0.927608 + 0.373555i \(0.121861\pi\)
\(480\) 15.6929 + 18.3522i 0.716281 + 0.837661i
\(481\) −3.84135 + 1.75429i −0.175150 + 0.0799885i
\(482\) −0.370355 + 1.58324i −0.0168692 + 0.0721147i
\(483\) 3.37573 + 9.32425i 0.153601 + 0.424268i
\(484\) 19.4590 + 9.63079i 0.884502 + 0.437763i
\(485\) −1.59035 + 0.726287i −0.0722140 + 0.0329790i
\(486\) −1.41201 + 0.0788853i −0.0640502 + 0.00357831i
\(487\) −16.2879 14.1136i −0.738077 0.639547i 0.202440 0.979295i \(-0.435113\pi\)
−0.940517 + 0.339748i \(0.889658\pi\)
\(488\) −11.1145 34.6701i −0.503130 1.56944i
\(489\) −4.37071 5.04407i −0.197650 0.228101i
\(490\) −1.42891 + 16.3847i −0.0645518 + 0.740184i
\(491\) −23.9111 7.02095i −1.07909 0.316851i −0.306578 0.951845i \(-0.599184\pi\)
−0.772517 + 0.634995i \(0.781002\pi\)
\(492\) 17.5730 1.96966i 0.792252 0.0887991i
\(493\) −3.92649 + 27.3093i −0.176840 + 1.22995i
\(494\) −0.202641 + 0.262079i −0.00911727 + 0.0117915i
\(495\) 1.47371 + 0.673019i 0.0662382 + 0.0302500i
\(496\) 13.1807 + 23.6284i 0.591830 + 1.06095i
\(497\) −2.10409 3.27403i −0.0943813 0.146860i
\(498\) 9.56780 16.8906i 0.428743 0.756887i
\(499\) 2.44681 + 17.0180i 0.109534 + 0.761828i 0.968359 + 0.249559i \(0.0802858\pi\)
−0.858825 + 0.512269i \(0.828805\pi\)
\(500\) 17.6643 + 67.9256i 0.789971 + 3.03772i
\(501\) −9.76818 + 15.1996i −0.436410 + 0.679067i
\(502\) 10.6252 + 14.6647i 0.474226 + 0.654518i
\(503\) −22.8256 + 6.70220i −1.01774 + 0.298836i −0.747718 0.664017i \(-0.768850\pi\)
−0.270025 + 0.962853i \(0.587032\pi\)
\(504\) 1.50901 5.65041i 0.0672166 0.251689i
\(505\) 60.2014i 2.67893i
\(506\) 0.787310 2.45082i 0.0350002 0.108952i
\(507\) −10.8082 −0.480009
\(508\) 15.6019 + 0.486642i 0.692223 + 0.0215913i
\(509\) −7.67788 26.1485i −0.340316 1.15901i −0.934881 0.354962i \(-0.884494\pi\)
0.594564 0.804048i \(-0.297325\pi\)
\(510\) −26.8743 37.0914i −1.19001 1.64244i
\(511\) −21.7414 13.9723i −0.961783 0.618100i
\(512\) −22.0983 + 4.86473i −0.976616 + 0.214993i
\(513\) −0.156618 + 0.0225182i −0.00691485 + 0.000994205i
\(514\) 9.49137 + 5.37644i 0.418647 + 0.237145i
\(515\) 52.4156 33.6855i 2.30971 1.48436i
\(516\) 18.9653 + 13.0412i 0.834902 + 0.574109i
\(517\) 0.687672 1.50579i 0.0302438 0.0662246i
\(518\) 5.10218 6.59872i 0.224177 0.289931i
\(519\) 13.8399 + 1.98988i 0.607506 + 0.0873461i
\(520\) 2.10734 17.7498i 0.0924128 0.778379i
\(521\) 6.29261 21.4307i 0.275684 0.938894i −0.698965 0.715156i \(-0.746356\pi\)
0.974649 0.223738i \(-0.0718261\pi\)
\(522\) −5.12297 0.446777i −0.224227 0.0195549i
\(523\) −20.4151 + 17.6898i −0.892689 + 0.773520i −0.974795 0.223104i \(-0.928381\pi\)
0.0821054 + 0.996624i \(0.473836\pi\)
\(524\) −2.02026 3.37017i −0.0882554 0.147226i
\(525\) 17.9023 20.6604i 0.781322 0.901694i
\(526\) −14.3267 + 0.800393i −0.624673 + 0.0348988i
\(527\) −21.3201 46.6844i −0.928716 2.03360i
\(528\) −1.20708 + 0.920749i −0.0525315 + 0.0400704i
\(529\) 22.6986 + 3.71157i 0.986894 + 0.161372i
\(530\) 26.5917 + 6.22037i 1.15507 + 0.270196i
\(531\) −3.50786 7.68115i −0.152228 0.333333i
\(532\) 0.113271 0.644471i 0.00491091 0.0279413i
\(533\) −9.89249 8.57189i −0.428491 0.371290i
\(534\) −7.76749 + 7.52899i −0.336132 + 0.325811i
\(535\) 5.76079 4.99175i 0.249061 0.215812i
\(536\) 0.497836 + 0.302882i 0.0215032 + 0.0130825i
\(537\) −9.45460 2.77612i −0.407996 0.119799i
\(538\) −1.55393 4.37330i −0.0669948 0.188546i
\(539\) −1.02352 0.147160i −0.0440862 0.00633864i
\(540\) 6.62316 5.38683i 0.285015 0.231812i
\(541\) −4.78072 2.18328i −0.205539 0.0938667i 0.309986 0.950741i \(-0.399676\pi\)
−0.515525 + 0.856875i \(0.672403\pi\)
\(542\) −25.5004 9.96670i −1.09533 0.428107i
\(543\) 7.70304 4.95044i 0.330569 0.212444i
\(544\) 42.5239 5.82986i 1.82320 0.249953i
\(545\) 2.80833 + 19.5324i 0.120296 + 0.836674i
\(546\) −3.83156 + 2.01529i −0.163976 + 0.0862465i
\(547\) −14.0156 9.00726i −0.599263 0.385123i 0.205554 0.978646i \(-0.434100\pi\)
−0.804817 + 0.593523i \(0.797737\pi\)
\(548\) −0.491659 1.17196i −0.0210026 0.0500637i
\(549\) −12.3508 + 3.62652i −0.527119 + 0.154776i
\(550\) −6.95692 + 1.40017i −0.296644 + 0.0597033i
\(551\) −0.575356 −0.0245110
\(552\) −9.73433 9.44684i −0.414321 0.402084i
\(553\) 3.54584 0.150785
\(554\) −9.98782 + 2.01017i −0.424342 + 0.0854039i
\(555\) 11.6828 3.43037i 0.495906 0.145611i
\(556\) 34.0198 14.2719i 1.44276 0.605263i
\(557\) 12.5827 + 8.08639i 0.533145 + 0.342631i 0.779352 0.626586i \(-0.215548\pi\)
−0.246208 + 0.969217i \(0.579185\pi\)
\(558\) 8.46612 4.45294i 0.358400 0.188508i
\(559\) −2.42471 16.8642i −0.102554 0.713281i
\(560\) 12.6364 + 32.9666i 0.533987 + 1.39309i
\(561\) 2.42263 1.55693i 0.102284 0.0657336i
\(562\) 3.13863 + 1.22672i 0.132395 + 0.0517460i
\(563\) 24.4797 + 11.1795i 1.03170 + 0.471160i 0.858006 0.513640i \(-0.171703\pi\)
0.173691 + 0.984800i \(0.444431\pi\)
\(564\) −5.50410 6.76735i −0.231764 0.284957i
\(565\) −26.3659 3.79084i −1.10922 0.159482i
\(566\) −2.63082 7.40405i −0.110582 0.311215i
\(567\) −1.98398 0.582549i −0.0833193 0.0244647i
\(568\) 4.54801 + 2.76700i 0.190830 + 0.116101i
\(569\) 14.8720 12.8867i 0.623468 0.540238i −0.284822 0.958581i \(-0.591934\pi\)
0.908289 + 0.418343i \(0.137389\pi\)
\(570\) 0.685863 0.664803i 0.0287276 0.0278456i
\(571\) −30.5286 26.4532i −1.27758 1.10703i −0.988738 0.149654i \(-0.952184\pi\)
−0.288843 0.957377i \(-0.593270\pi\)
\(572\) 1.10684 + 0.194535i 0.0462792 + 0.00813392i
\(573\) −3.85655 8.44468i −0.161110 0.352781i
\(574\) 25.1749 + 5.88897i 1.05078 + 0.245801i
\(575\) −21.5843 59.6190i −0.900128 2.48628i
\(576\) 1.52702 + 7.85291i 0.0636258 + 0.327205i
\(577\) 10.5101 + 23.0139i 0.437542 + 0.958082i 0.992043 + 0.125900i \(0.0401817\pi\)
−0.554501 + 0.832183i \(0.687091\pi\)
\(578\) −57.2865 + 3.20044i −2.38280 + 0.133121i
\(579\) −1.61134 + 1.85958i −0.0669649 + 0.0772817i
\(580\) 26.6259 15.9610i 1.10558 0.662744i
\(581\) 21.4504 18.5868i 0.889911 0.771112i
\(582\) −0.577045 0.0503243i −0.0239193 0.00208601i
\(583\) −0.483736 + 1.64745i −0.0200343 + 0.0682305i
\(584\) 35.1051 + 4.16785i 1.45266 + 0.172467i
\(585\) −6.25524 0.899368i −0.258623 0.0371843i
\(586\) 24.1667 31.2552i 0.998319 1.29114i
\(587\) −13.0463 + 28.5675i −0.538480 + 1.17911i 0.423478 + 0.905907i \(0.360809\pi\)
−0.961957 + 0.273200i \(0.911918\pi\)
\(588\) −3.08739 + 4.48986i −0.127322 + 0.185159i
\(589\) 0.900360 0.578626i 0.0370987 0.0238419i
\(590\) 44.3539 + 25.1245i 1.82602 + 1.03436i
\(591\) −8.14701 + 1.17136i −0.335123 + 0.0481834i
\(592\) −2.32446 + 11.1705i −0.0955349 + 0.459104i
\(593\) 27.0319 + 17.3724i 1.11007 + 0.713398i 0.961308 0.275475i \(-0.0888352\pi\)
0.148761 + 0.988873i \(0.452472\pi\)
\(594\) 0.314926 + 0.434655i 0.0129216 + 0.0178341i
\(595\) −18.8677 64.2576i −0.773502 2.63431i
\(596\) −0.662906 + 21.2530i −0.0271537 + 0.870555i
\(597\) 0.135175 0.00553234
\(598\) −0.253322 + 10.0379i −0.0103591 + 0.410479i
\(599\) 37.8109i 1.54491i 0.635068 + 0.772456i \(0.280972\pi\)
−0.635068 + 0.772456i \(0.719028\pi\)
\(600\) −9.64855 + 36.1285i −0.393900 + 1.47494i
\(601\) 6.40015 1.87925i 0.261068 0.0766564i −0.148579 0.988900i \(-0.547470\pi\)
0.409647 + 0.912244i \(0.365652\pi\)
\(602\) 19.7448 + 27.2514i 0.804738 + 1.11069i
\(603\) 0.111387 0.173321i 0.00453602 0.00705818i
\(604\) −33.3903 + 8.68327i −1.35863 + 0.353317i
\(605\) 6.59484 + 45.8681i 0.268119 + 1.86481i
\(606\) −9.83040 + 17.3542i −0.399333 + 0.704967i
\(607\) −5.67262 8.82678i −0.230245 0.358268i 0.706838 0.707376i \(-0.250121\pi\)
−0.937083 + 0.349108i \(0.886485\pi\)
\(608\) 0.246539 + 0.860452i 0.00999846 + 0.0348959i
\(609\) −6.83933 3.12342i −0.277144 0.126567i
\(610\) 47.5316 61.4733i 1.92450 2.48898i
\(611\) −0.918948 + 6.39143i −0.0371767 + 0.258569i
\(612\) −1.69031 15.0807i −0.0683266 0.609599i
\(613\) −14.1321 4.14957i −0.570791 0.167599i −0.0164146 0.999865i \(-0.505225\pi\)
−0.554377 + 0.832266i \(0.687043\pi\)
\(614\) 3.22871 37.0220i 0.130300 1.49409i
\(615\) 24.7151 + 28.5227i 0.996609 + 1.15015i
\(616\) −2.11376 + 0.677627i −0.0851660 + 0.0273024i
\(617\) 12.9780 + 11.2455i 0.522476 + 0.452728i 0.875731 0.482799i \(-0.160380\pi\)
−0.353255 + 0.935527i \(0.614925\pi\)
\(618\) 20.6104 1.15144i 0.829070 0.0463179i
\(619\) 2.34189 1.06951i 0.0941286 0.0429871i −0.367794 0.929907i \(-0.619887\pi\)
0.461923 + 0.886920i \(0.347160\pi\)
\(620\) −25.6145 + 51.7541i −1.02870 + 2.07850i
\(621\) −3.42370 + 3.35831i −0.137388 + 0.134765i
\(622\) −6.03697 + 25.8077i −0.242061 + 1.03479i
\(623\) −14.3872 + 6.57040i −0.576410 + 0.263237i
\(624\) 3.50587 4.77260i 0.140347 0.191057i
\(625\) −54.8057 + 63.2492i −2.19223 + 2.52997i
\(626\) 21.8556 21.1846i 0.873527 0.846706i
\(627\) 0.0393271 + 0.0453859i 0.00157057 + 0.00181254i
\(628\) 0.971072 2.96221i 0.0387500 0.118205i
\(629\) 6.09755 20.7664i 0.243125 0.828009i
\(630\) 11.7619 4.17928i 0.468606 0.166506i
\(631\) −2.34567 + 16.3145i −0.0933797 + 0.649470i 0.888347 + 0.459173i \(0.151854\pi\)
−0.981727 + 0.190297i \(0.939055\pi\)
\(632\) −4.36104 + 2.12293i −0.173473 + 0.0844456i
\(633\) −5.57130 + 12.1995i −0.221439 + 0.484885i
\(634\) −32.4174 12.6702i −1.28746 0.503198i
\(635\) 18.0117 + 28.0267i 0.714772 + 1.11221i
\(636\) 6.64982 + 6.13534i 0.263682 + 0.243282i
\(637\) 3.99245 0.574027i 0.158186 0.0227438i
\(638\) 0.908559 + 1.72739i 0.0359702 + 0.0683881i
\(639\) 1.01758 1.58339i 0.0402549 0.0626378i
\(640\) −35.2790 32.9801i −1.39452 1.30365i
\(641\) 4.04113 + 13.7628i 0.159615 + 0.543599i 0.999999 + 0.00160721i \(0.000511592\pi\)
−0.840384 + 0.541992i \(0.817670\pi\)
\(642\) 2.47577 0.498279i 0.0977108 0.0196655i
\(643\) 27.2949i 1.07641i −0.842815 0.538203i \(-0.819103\pi\)
0.842815 0.538203i \(-0.180897\pi\)
\(644\) −8.78665 17.7804i −0.346243 0.700647i
\(645\) 49.1242i 1.93426i
\(646\) −0.334997 1.66448i −0.0131803 0.0654880i
\(647\) −8.83344 30.0839i −0.347278 1.18272i −0.929231 0.369499i \(-0.879529\pi\)
0.581953 0.813223i \(-0.302289\pi\)
\(648\) 2.78888 0.471348i 0.109557 0.0185163i
\(649\) −1.73272 + 2.69616i −0.0680152 + 0.105834i
\(650\) 24.4989 12.8857i 0.960925 0.505419i
\(651\) 13.8438 1.99044i 0.542583 0.0780117i
\(652\) 9.81070 + 9.05167i 0.384217 + 0.354491i
\(653\) −18.8224 29.2883i −0.736578 1.14614i −0.984162 0.177272i \(-0.943273\pi\)
0.247584 0.968867i \(-0.420363\pi\)
\(654\) −2.37992 + 6.08915i −0.0930621 + 0.238105i
\(655\) 3.48381 7.62849i 0.136124 0.298070i
\(656\) −34.4885 + 7.82961i −1.34655 + 0.305695i
\(657\) 1.77875 12.3715i 0.0693957 0.482658i
\(658\) −4.27026 12.0180i −0.166472 0.468510i
\(659\) 12.7295 43.3528i 0.495872 1.68878i −0.207727 0.978187i \(-0.566607\pi\)
0.703599 0.710597i \(-0.251575\pi\)
\(660\) −3.07900 1.00936i −0.119850 0.0392893i
\(661\) −24.3512 28.1028i −0.947154 1.09307i −0.995549 0.0942454i \(-0.969956\pi\)
0.0483953 0.998828i \(-0.484589\pi\)
\(662\) −8.39683 8.66282i −0.326352 0.336690i
\(663\) −7.35616 + 8.48946i −0.285690 + 0.329703i
\(664\) −15.2537 + 35.7025i −0.591959 + 1.38553i
\(665\) 1.27037 0.580161i 0.0492630 0.0224977i
\(666\) 3.92793 + 0.918829i 0.152204 + 0.0356039i
\(667\) −14.0606 + 10.3156i −0.544428 + 0.399422i
\(668\) 16.0287 32.3861i 0.620170 1.25306i
\(669\) 5.63406 2.57299i 0.217825 0.0994774i
\(670\) 0.0693757 + 1.24179i 0.00268022 + 0.0479747i
\(671\) 3.69224 + 3.19934i 0.142537 + 0.123509i
\(672\) −1.74047 + 11.5667i −0.0671402 + 0.446194i
\(673\) 15.9991 + 18.4640i 0.616721 + 0.711734i 0.975081 0.221850i \(-0.0712094\pi\)
−0.358360 + 0.933583i \(0.616664\pi\)
\(674\) −34.5956 3.01710i −1.33257 0.116214i
\(675\) 12.6855 + 3.72480i 0.488265 + 0.143367i
\(676\) 21.4819 2.40778i 0.826226 0.0926071i
\(677\) 3.25355 22.6289i 0.125044 0.869700i −0.826664 0.562695i \(-0.809764\pi\)
0.951708 0.307004i \(-0.0993265\pi\)
\(678\) −6.98145 5.39811i −0.268121 0.207313i
\(679\) −0.770372 0.351817i −0.0295642 0.0135015i
\(680\) 61.6771 + 67.7343i 2.36521 + 2.59749i
\(681\) 3.57353 + 5.56052i 0.136938 + 0.213080i
\(682\) −3.15899 1.78943i −0.120964 0.0685208i
\(683\) −4.64482 32.3054i −0.177729 1.23613i −0.862001 0.506906i \(-0.830789\pi\)
0.684272 0.729227i \(-0.260120\pi\)
\(684\) 0.306270 0.0796466i 0.0117105 0.00304536i
\(685\) 1.46650 2.28192i 0.0560320 0.0871875i
\(686\) −23.0275 + 16.6844i −0.879194 + 0.637013i
\(687\) −4.07437 + 1.19634i −0.155447 + 0.0456433i
\(688\) −40.5999 21.6952i −1.54786 0.827122i
\(689\) 6.69751i 0.255155i
\(690\) 4.84183 28.5434i 0.184325 1.08663i
\(691\) −11.5183 −0.438177 −0.219088 0.975705i \(-0.570308\pi\)
−0.219088 + 0.975705i \(0.570308\pi\)
\(692\) −27.9509 0.871823i −1.06253 0.0331417i
\(693\) 0.221101 + 0.753002i 0.00839894 + 0.0286042i
\(694\) 23.3271 16.9015i 0.885485 0.641571i
\(695\) 66.2396 + 42.5696i 2.51261 + 1.61476i
\(696\) 10.2817 0.253271i 0.389728 0.00960022i
\(697\) 66.4026 9.54725i 2.51518 0.361628i
\(698\) 19.5331 34.4831i 0.739341 1.30520i
\(699\) 0.0855315 0.0549677i 0.00323510 0.00207907i
\(700\) −30.9793 + 45.0518i −1.17091 + 1.70280i
\(701\) 5.51588 12.0781i 0.208332 0.456184i −0.776405 0.630235i \(-0.782959\pi\)
0.984737 + 0.174051i \(0.0556859\pi\)
\(702\) −1.65633 1.28069i −0.0625143 0.0483365i
\(703\) 0.446744 + 0.0642320i 0.0168493 + 0.00242256i
\(704\) 2.19402 2.09894i 0.0826903 0.0791069i
\(705\) 5.24522 17.8636i 0.197546 0.672781i
\(706\) −1.74565 + 20.0165i −0.0656983 + 0.753331i
\(707\) −22.0391 + 19.0970i −0.828865 + 0.718216i
\(708\) 8.68323 + 14.4852i 0.326336 + 0.544389i
\(709\) 16.2786 18.7865i 0.611356 0.705543i −0.362685 0.931912i \(-0.618140\pi\)
0.974042 + 0.226369i \(0.0726855\pi\)
\(710\) 0.633786 + 11.3445i 0.0237856 + 0.425751i
\(711\) 0.712372 + 1.55988i 0.0267160 + 0.0584999i
\(712\) 13.7610 16.6947i 0.515717 0.625659i
\(713\) 11.6288 30.2831i 0.435502 1.13411i
\(714\) 5.05375 21.6044i 0.189132 0.808526i
\(715\) 0.996388 + 2.18179i 0.0372628 + 0.0815942i
\(716\) 19.4100 + 3.41145i 0.725385 + 0.127492i
\(717\) 9.69720 + 8.40268i 0.362149 + 0.313804i
\(718\) −30.0183 30.9693i −1.12027 1.15576i
\(719\) 23.4464 20.3164i 0.874404 0.757675i −0.0969557 0.995289i \(-0.530911\pi\)
0.971360 + 0.237613i \(0.0763651\pi\)
\(720\) −11.9638 + 12.1821i −0.445866 + 0.453999i
\(721\) 28.9590 + 8.50314i 1.07849 + 0.316674i
\(722\) −25.2859 + 8.98464i −0.941042 + 0.334374i
\(723\) −1.13804 0.163625i −0.0423242 0.00608530i
\(724\) −14.2074 + 11.5553i −0.528013 + 0.429449i
\(725\) 43.7304 + 19.9710i 1.62411 + 0.741705i
\(726\) −5.58880 + 14.2993i −0.207420 + 0.530695i
\(727\) −16.7554 + 10.7680i −0.621422 + 0.399364i −0.813125 0.582089i \(-0.802235\pi\)
0.191703 + 0.981453i \(0.438599\pi\)
\(728\) 7.16648 4.85907i 0.265608 0.180089i
\(729\) −0.142315 0.989821i −0.00527092 0.0366601i
\(730\) 35.1232 + 66.7777i 1.29997 + 2.47155i
\(731\) 73.4576 + 47.2083i 2.71693 + 1.74606i
\(732\) 23.7400 9.95934i 0.877455 0.368108i
\(733\) −24.1043 + 7.07765i −0.890311 + 0.261419i −0.694732 0.719269i \(-0.744477\pi\)
−0.195579 + 0.980688i \(0.562659\pi\)
\(734\) −3.07429 15.2751i −0.113474 0.563813i
\(735\) −11.6297 −0.428967
\(736\) 21.4520 + 16.6075i 0.790732 + 0.612162i
\(737\) −0.0781958 −0.00288038
\(738\) 2.46707 + 12.2580i 0.0908141 + 0.451223i
\(739\) −22.1826 + 6.51340i −0.816001 + 0.239599i −0.662993 0.748626i \(-0.730714\pi\)
−0.153008 + 0.988225i \(0.548896\pi\)
\(740\) −22.4559 + 9.42066i −0.825496 + 0.346310i
\(741\) −0.197066 0.126647i −0.00723941 0.00465248i
\(742\) 6.15814 + 11.7081i 0.226072 + 0.429819i
\(743\) 2.21716 + 15.4207i 0.0813397 + 0.565730i 0.989213 + 0.146485i \(0.0467961\pi\)
−0.907873 + 0.419245i \(0.862295\pi\)
\(744\) −15.8349 + 10.7365i −0.580535 + 0.393619i
\(745\) −38.1781 + 24.5356i −1.39874 + 0.898913i
\(746\) −17.8657 + 45.7104i −0.654110 + 1.67358i
\(747\) 12.4861 + 5.70221i 0.456843 + 0.208633i
\(748\) −4.46827 + 3.63418i −0.163376 + 0.132879i
\(749\) 3.65485 + 0.525488i 0.133545 + 0.0192009i
\(750\) −46.7638 + 16.6162i −1.70757 + 0.606739i
\(751\) −20.1669 5.92155i −0.735902 0.216080i −0.107758 0.994177i \(-0.534367\pi\)
−0.628144 + 0.778097i \(0.716185\pi\)
\(752\) 12.4473 + 12.2243i 0.453906 + 0.445775i
\(753\) −9.67755 + 8.38565i −0.352670 + 0.305590i
\(754\) −5.29878 5.46663i −0.192970 0.199083i
\(755\) −55.6499 48.2210i −2.02531 1.75494i
\(756\) 4.07304 + 0.715868i 0.148135 + 0.0260359i
\(757\) 10.4473 + 22.8764i 0.379713 + 0.831456i 0.998931 + 0.0462362i \(0.0147227\pi\)
−0.619217 + 0.785220i \(0.712550\pi\)
\(758\) 0.112798 0.482206i 0.00409703 0.0175145i
\(759\) 1.77481 + 0.404044i 0.0644213 + 0.0146659i
\(760\) −1.21509 + 1.47413i −0.0440759 + 0.0534721i
\(761\) −4.85748 10.6364i −0.176083 0.385569i 0.800926 0.598763i \(-0.204341\pi\)
−0.977010 + 0.213194i \(0.931613\pi\)
\(762\) 0.615680 + 11.0204i 0.0223037 + 0.399227i
\(763\) −6.25973 + 7.22411i −0.226617 + 0.261530i
\(764\) 9.54636 + 15.9251i 0.345375 + 0.576150i
\(765\) 24.4774 21.2098i 0.884983 0.766842i
\(766\) 4.26214 48.8719i 0.153997 1.76581i
\(767\) 3.52207 11.9951i 0.127175 0.433117i
\(768\) −4.78446 15.2679i −0.172644 0.550933i
\(769\) 5.00864 + 0.720133i 0.180616 + 0.0259687i 0.232029 0.972709i \(-0.425463\pi\)
−0.0514133 + 0.998677i \(0.516373\pi\)
\(770\) −3.74790 2.89790i −0.135065 0.104433i
\(771\) −3.20425 + 7.01633i −0.115398 + 0.252687i
\(772\) 2.78836 4.05499i 0.100355 0.145942i
\(773\) −24.2536 + 15.5869i −0.872342 + 0.560620i −0.898468 0.439038i \(-0.855319\pi\)
0.0261262 + 0.999659i \(0.491683\pi\)
\(774\) −8.02157 + 14.1610i −0.288329 + 0.509006i
\(775\) −88.5171 + 12.7268i −3.17963 + 0.457162i
\(776\) 1.15812 0.0285281i 0.0415740 0.00102410i
\(777\) 4.96180 + 3.18876i 0.178004 + 0.114396i
\(778\) 34.4812 24.9831i 1.23621 0.895688i
\(779\) 0.394138 + 1.34231i 0.0141215 + 0.0480932i
\(780\) 12.6330 + 0.394038i 0.452334 + 0.0141088i
\(781\) −0.714363 −0.0255619
\(782\) −38.0292 34.6704i −1.35992 1.23981i
\(783\) 3.63624i 0.129949i
\(784\) 5.13613 9.61164i 0.183433 0.343273i
\(785\) 6.38380 1.87445i 0.227848 0.0669021i
\(786\) 2.24995 1.63018i 0.0802529 0.0581466i
\(787\) −17.2130 + 26.7840i −0.613578 + 0.954746i 0.385903 + 0.922539i \(0.373890\pi\)
−0.999481 + 0.0322066i \(0.989747\pi\)
\(788\) 15.9317 4.14309i 0.567542 0.147591i
\(789\) −1.44397 10.0430i −0.0514066 0.357541i
\(790\) −9.00732 5.10225i −0.320466 0.181530i
\(791\) −6.97594 10.8548i −0.248036 0.385951i
\(792\) −0.722762 0.793743i −0.0256822 0.0282044i
\(793\) −17.3348 7.91656i −0.615578 0.281125i
\(794\) −20.1362 15.5694i −0.714607 0.552539i
\(795\) −2.74820 + 19.1142i −0.0974688 + 0.677910i
\(796\) −0.268667 + 0.0301134i −0.00952266 + 0.00106734i
\(797\) 1.78028 + 0.522738i 0.0630609 + 0.0185163i 0.313111 0.949717i \(-0.398629\pi\)
−0.250050 + 0.968233i \(0.580447\pi\)
\(798\) 0.460945 + 0.0401992i 0.0163173 + 0.00142304i
\(799\) −21.6716 25.0103i −0.766685 0.884801i
\(800\) 11.1285 73.9569i 0.393453 2.61477i
\(801\) −5.78086 5.00914i −0.204257 0.176989i
\(802\) −0.920364 16.4741i −0.0324992 0.581721i
\(803\) −4.31509 + 1.97064i −0.152276 + 0.0695422i
\(804\) −0.182776 + 0.369299i −0.00644601 + 0.0130242i
\(805\) 20.6437 36.9546i 0.727595 1.30248i
\(806\) 13.7896 + 3.22569i 0.485719 + 0.113620i
\(807\) 2.98523 1.36331i 0.105085 0.0479908i
\(808\) 15.6724 36.6824i 0.551352 1.29048i
\(809\) 14.4026 16.6215i 0.506370 0.584382i −0.443795 0.896128i \(-0.646368\pi\)
0.950165 + 0.311746i \(0.100914\pi\)
\(810\) 4.20154 + 4.33464i 0.147627 + 0.152304i
\(811\) 12.2980 + 14.1926i 0.431841 + 0.498371i 0.929408 0.369055i \(-0.120319\pi\)
−0.497567 + 0.867426i \(0.665773\pi\)
\(812\) 14.2894 + 4.68434i 0.501458 + 0.164388i
\(813\) 5.45429 18.5756i 0.191290 0.651475i
\(814\) −0.512620 1.44269i −0.0179673 0.0505662i
\(815\) −4.05452 + 28.1998i −0.142024 + 0.987796i
\(816\) 6.71915 + 29.5971i 0.235217 + 1.03610i
\(817\) −0.756441 + 1.65637i −0.0264645 + 0.0579492i
\(818\) 1.44595 3.69954i 0.0505565 0.129352i
\(819\) −1.65503 2.57527i −0.0578313 0.0899873i
\(820\) −55.4767 51.1846i −1.93733 1.78744i
\(821\) −41.3050 + 5.93877i −1.44156 + 0.207264i −0.818317 0.574767i \(-0.805093\pi\)
−0.623239 + 0.782032i \(0.714183\pi\)
\(822\) 0.795364 0.418339i 0.0277415 0.0145912i
\(823\) −19.0039 + 29.5706i −0.662434 + 1.03077i 0.333679 + 0.942687i \(0.391710\pi\)
−0.996113 + 0.0880807i \(0.971927\pi\)
\(824\) −40.7077 + 6.88001i −1.41812 + 0.239676i
\(825\) −1.41371 4.81467i −0.0492192 0.167625i
\(826\) 4.87204 + 24.2074i 0.169520 + 0.842283i
\(827\) 29.3777i 1.02156i −0.859711 0.510781i \(-0.829356\pi\)
0.859711 0.510781i \(-0.170644\pi\)
\(828\) 6.05665 7.43754i 0.210483 0.258472i
\(829\) 33.3959i 1.15989i −0.814656 0.579944i \(-0.803074\pi\)
0.814656 0.579944i \(-0.196926\pi\)
\(830\) −81.2345 + 16.3494i −2.81969 + 0.567497i
\(831\) −2.02962 6.91225i −0.0704068 0.239783i
\(832\) −5.90490 + 10.2668i −0.204716 + 0.355938i
\(833\) −11.1761 + 17.3904i −0.387230 + 0.602542i
\(834\) 12.1436 + 23.0879i 0.420497 + 0.799467i
\(835\) 76.3393 10.9759i 2.64183 0.379838i
\(836\) −0.0882756 0.0814459i −0.00305307 0.00281687i
\(837\) 3.65690 + 5.69025i 0.126401 + 0.196684i
\(838\) −12.7610 4.98756i −0.440820 0.172292i
\(839\) −10.9794 + 24.0414i −0.379049 + 0.830002i 0.619922 + 0.784663i \(0.287164\pi\)
−0.998972 + 0.0453390i \(0.985563\pi\)
\(840\) −22.4464 + 10.9268i −0.774476 + 0.377010i
\(841\) −2.24541 + 15.6172i −0.0774279 + 0.538523i
\(842\) −5.71189 + 2.02956i −0.196845 + 0.0699434i
\(843\) −0.671323 + 2.28632i −0.0231216 + 0.0787449i
\(844\) 8.35555 25.4882i 0.287610 0.877341i
\(845\) 30.2126 + 34.8672i 1.03935 + 1.19947i
\(846\) 4.42901 4.29302i 0.152272 0.147597i
\(847\) −14.6998 + 16.9645i −0.505092 + 0.582907i
\(848\) −14.5837 10.7129i −0.500805 0.367883i
\(849\) 5.05403 2.30810i 0.173454 0.0792138i
\(850\) −32.3135 + 138.138i −1.10834 + 4.73810i
\(851\) 12.0692 6.44000i 0.413725 0.220760i
\(852\) −1.66976 + 3.37376i −0.0572050 + 0.115583i
\(853\) −40.2960 + 18.4026i −1.37971 + 0.630092i −0.960623 0.277855i \(-0.910377\pi\)
−0.419086 + 0.907947i \(0.637649\pi\)
\(854\) 37.5826 2.09964i 1.28605 0.0718481i
\(855\) 0.510445 + 0.442303i 0.0174568 + 0.0151264i
\(856\) −4.80972 + 1.54189i −0.164393 + 0.0527008i
\(857\) −30.7954 35.5398i −1.05195 1.21402i −0.976196 0.216891i \(-0.930408\pi\)
−0.0757567 0.997126i \(-0.524137\pi\)
\(858\) −0.0690396 + 0.791643i −0.00235697 + 0.0270263i
\(859\) 1.99677 + 0.586304i 0.0681288 + 0.0200044i 0.315619 0.948886i \(-0.397788\pi\)
−0.247491 + 0.968890i \(0.579606\pi\)
\(860\) −10.9436 97.6369i −0.373173 3.32939i
\(861\) −2.60179 + 18.0958i −0.0886687 + 0.616705i
\(862\) 11.9932 15.5110i 0.408489 0.528305i
\(863\) 42.9708 + 19.6241i 1.46274 + 0.668012i 0.978372 0.206852i \(-0.0663218\pi\)
0.484369 + 0.874864i \(0.339049\pi\)
\(864\) −5.43804 + 1.55812i −0.185006 + 0.0530083i
\(865\) −32.2680 50.2100i −1.09715 1.70719i
\(866\) −7.73280 + 13.6512i −0.262771 + 0.463886i
\(867\) −5.77383 40.1579i −0.196090 1.36383i
\(868\) −27.0720 + 7.04017i −0.918883 + 0.238959i
\(869\) 0.351878 0.547533i 0.0119366 0.0185738i
\(870\) 12.8792 + 17.7756i 0.436645 + 0.602650i
\(871\) 0.292663 0.0859335i 0.00991650 0.00291175i
\(872\) 3.37371 12.6327i 0.114248 0.427797i
\(873\) 0.409581i 0.0138622i
\(874\) 0.602784 0.887872i 0.0203895 0.0300327i
\(875\) −72.5619 −2.45304
\(876\) −0.779321 + 24.9853i −0.0263308 + 0.844174i
\(877\) −4.85795 16.5447i −0.164041 0.558674i −0.999952 0.00980791i \(-0.996878\pi\)
0.835911 0.548866i \(-0.184940\pi\)
\(878\) 10.8031 + 14.9102i 0.364586 + 0.503195i
\(879\) 23.5018 + 15.1037i 0.792698 + 0.509436i
\(880\) 6.34455 + 1.32023i 0.213875 + 0.0445051i
\(881\) −37.9323 + 5.45385i −1.27797 + 0.183745i −0.747674 0.664066i \(-0.768829\pi\)
−0.530299 + 0.847811i \(0.677920\pi\)
\(882\) −3.35248 1.89903i −0.112884 0.0639437i
\(883\) −32.4796 + 20.8734i −1.09303 + 0.702445i −0.957530 0.288333i \(-0.906899\pi\)
−0.135496 + 0.990778i \(0.543263\pi\)
\(884\) 12.7295 18.5120i 0.428141 0.622627i
\(885\) −14.9737 + 32.7878i −0.503336 + 1.10215i
\(886\) 19.6970 25.4745i 0.661735 0.855832i
\(887\) −20.6636 2.97097i −0.693815 0.0997555i −0.213619 0.976917i \(-0.568525\pi\)
−0.480196 + 0.877161i \(0.659434\pi\)
\(888\) −8.01166 0.951182i −0.268854 0.0319196i
\(889\) −4.54665 + 15.4845i −0.152490 + 0.519332i
\(890\) 46.0014 + 4.01180i 1.54197 + 0.134476i
\(891\) −0.286838 + 0.248547i −0.00960944 + 0.00832662i
\(892\) −10.6248 + 6.36907i −0.355744 + 0.213252i
\(893\) 0.451932 0.521558i 0.0151233 0.0174533i
\(894\) −15.0120 + 0.838681i −0.502077 + 0.0280497i
\(895\) 17.4731 + 38.2608i 0.584062 + 1.27892i
\(896\) 0.882531 23.3771i 0.0294833 0.780975i
\(897\) −7.08657 + 0.438217i −0.236614 + 0.0146316i
\(898\) 13.2260 + 3.09386i 0.441358 + 0.103243i
\(899\) 10.2174 + 22.3729i 0.340769 + 0.746179i
\(900\) −26.0429 4.57724i −0.868096 0.152575i
\(901\) 25.9413 + 22.4782i 0.864229 + 0.748859i
\(902\) 3.40763 3.30300i 0.113462 0.109978i
\(903\) −17.9838 + 15.5831i −0.598464 + 0.518572i
\(904\) 15.0786 + 9.17375i 0.501506 + 0.305114i
\(905\) −37.5028 11.0118i −1.24663 0.366045i
\(906\) −8.16808 22.9878i −0.271366 0.763718i
\(907\) 31.1722 + 4.48188i 1.03505 + 0.148818i 0.638840 0.769340i \(-0.279415\pi\)
0.396214 + 0.918158i \(0.370324\pi\)
\(908\) −8.34132 10.2557i −0.276816 0.340349i
\(909\) −12.8288 5.85872i −0.425505 0.194321i
\(910\) 17.2119 + 6.72718i 0.570568 + 0.223004i
\(911\) 42.9366 27.5937i 1.42255 0.914219i 0.422584 0.906324i \(-0.361123\pi\)
0.999969 0.00789526i \(-0.00251317\pi\)
\(912\) −0.590985 + 0.226531i −0.0195695 + 0.00750119i
\(913\) −0.741430 5.15676i −0.0245378 0.170664i
\(914\) −44.2307 + 23.2641i −1.46302 + 0.769507i
\(915\) 46.2239 + 29.7063i 1.52812 + 0.982060i
\(916\) 7.83151 3.28546i 0.258760 0.108555i
\(917\) 3.89783 1.14451i 0.128718 0.0377950i
\(918\) 10.5195 2.11717i 0.347194 0.0698771i
\(919\) 55.3494 1.82581 0.912903 0.408176i \(-0.133835\pi\)
0.912903 + 0.408176i \(0.133835\pi\)
\(920\) −3.26467 + 57.8101i −0.107633 + 1.90594i
\(921\) 26.2779 0.865885
\(922\) 2.65089 0.533525i 0.0873026 0.0175707i
\(923\) 2.67364 0.785051i 0.0880039 0.0258403i
\(924\) −0.607200 1.44738i −0.0199754 0.0476152i
\(925\) −31.7256 20.3888i −1.04313 0.670379i
\(926\) 33.6741 17.7116i 1.10660 0.582039i
\(927\) 2.07729 + 14.4479i 0.0682272 + 0.474531i
\(928\) −20.3791 + 2.79389i −0.668975 + 0.0917139i
\(929\) −14.5980 + 9.38157i −0.478945 + 0.307799i −0.757746 0.652550i \(-0.773699\pi\)
0.278801 + 0.960349i \(0.410063\pi\)
\(930\) −38.0309 14.8642i −1.24708 0.487417i
\(931\) −0.392131 0.179080i −0.0128516 0.00586912i
\(932\) −0.157753 + 0.128306i −0.00516737 + 0.00420279i
\(933\) −18.5506 2.66718i −0.607321 0.0873195i
\(934\) 16.6435 + 46.8407i 0.544593 + 1.53267i
\(935\) −11.7947 3.46325i −0.385729 0.113260i
\(936\) 3.57736 + 2.17645i 0.116930 + 0.0711396i
\(937\) −34.4588 + 29.8588i −1.12572 + 0.975443i −0.999862 0.0166052i \(-0.994714\pi\)
−0.125859 + 0.992048i \(0.540169\pi\)
\(938\) −0.432600 + 0.419317i −0.0141249 + 0.0136912i
\(939\) 16.2658 + 14.0944i 0.530814 + 0.459953i
\(940\) −6.44562 + 36.6733i −0.210233 + 1.19615i
\(941\) −3.87080 8.47587i −0.126185 0.276306i 0.835987 0.548749i \(-0.184896\pi\)
−0.962172 + 0.272443i \(0.912168\pi\)
\(942\) 2.14633 + 0.502075i 0.0699314 + 0.0163585i
\(943\) 33.6983 + 25.7369i 1.09737 + 0.838109i
\(944\) −20.4853 26.8558i −0.666740 0.874082i
\(945\) 3.66660 + 8.02874i 0.119275 + 0.261175i
\(946\) 6.16745 0.344559i 0.200521 0.0112026i
\(947\) 0.872097 1.00645i 0.0283393 0.0327053i −0.741403 0.671060i \(-0.765839\pi\)
0.769742 + 0.638355i \(0.220385\pi\)
\(948\) −1.76338 2.94164i −0.0572718 0.0955401i
\(949\) 13.9844 12.1176i 0.453953 0.393353i
\(950\) −2.94727 0.257033i −0.0956220 0.00833924i
\(951\) 6.93378 23.6143i 0.224843 0.765745i
\(952\) −5.23170 + 44.0658i −0.169560 + 1.42818i
\(953\) 24.2745 + 3.49014i 0.786327 + 0.113057i 0.523770 0.851860i \(-0.324525\pi\)
0.262557 + 0.964916i \(0.415434\pi\)
\(954\) −3.91341 + 5.06127i −0.126701 + 0.163865i
\(955\) −16.4621 + 36.0470i −0.532702 + 1.16645i
\(956\) −21.1456 14.5405i −0.683898 0.470273i
\(957\) −1.16102 + 0.746140i −0.0375303 + 0.0241193i
\(958\) −17.5127 9.92017i −0.565810 0.320506i
\(959\) 1.30058 0.186996i 0.0419980 0.00603840i
\(960\) 21.0649 26.8778i 0.679868 0.867476i
\(961\) −12.4101 7.97550i −0.400327 0.257274i
\(962\) 3.50403 + 4.83619i 0.112974 + 0.155925i
\(963\) 0.503100 + 1.71340i 0.0162122 + 0.0552136i
\(964\) 2.29837 + 0.0716889i 0.0740254 + 0.00230894i
\(965\) 10.5033 0.338112
\(966\) 11.9853 7.28193i 0.385622 0.234292i
\(967\) 24.9805i 0.803319i 0.915789 + 0.401659i \(0.131566\pi\)
−0.915789 + 0.401659i \(0.868434\pi\)
\(968\) 7.92254 29.6656i 0.254640 0.953488i
\(969\) 1.15193 0.338238i 0.0370054 0.0108658i
\(970\) 1.45069 + 2.00222i 0.0465789 + 0.0642874i
\(971\) −21.8724 + 34.0342i −0.701919 + 1.09221i 0.288945 + 0.957346i \(0.406696\pi\)
−0.990864 + 0.134862i \(0.956941\pi\)
\(972\) 0.503365 + 1.93562i 0.0161454 + 0.0620850i
\(973\) 5.42812 + 37.7534i 0.174018 + 1.21032i
\(974\) −15.0224 + 26.5199i −0.481348 + 0.849754i
\(975\) 10.5822 + 16.4662i 0.338901 + 0.527340i
\(976\) −44.9658 + 25.0834i −1.43932 + 0.802900i
\(977\) 21.1720 + 9.66893i 0.677352 + 0.309336i 0.724224 0.689565i \(-0.242198\pi\)
−0.0468721 + 0.998901i \(0.514925\pi\)
\(978\) −5.77359 + 7.46706i −0.184619 + 0.238770i
\(979\) −0.413165 + 2.87363i −0.0132048 + 0.0918415i
\(980\) 23.1146 2.59079i 0.738370 0.0827597i
\(981\) −4.43561 1.30241i −0.141618 0.0415828i
\(982\) −3.06194 + 35.1098i −0.0977105 + 1.12040i
\(983\) −39.3346 45.3946i −1.25458 1.44786i −0.844272 0.535915i \(-0.819967\pi\)
−0.410308 0.911947i \(-0.634579\pi\)
\(984\) −7.63420 23.8138i −0.243369 0.759157i
\(985\) 26.5525 + 23.0079i 0.846034 + 0.733092i
\(986\) 38.9576 2.17646i 1.24066 0.0693125i
\(987\) 8.20353 3.74643i 0.261121 0.119250i
\(988\) 0.419893 + 0.207816i 0.0133586 + 0.00661151i
\(989\) 11.2113 + 54.0408i 0.356500 + 1.71840i
\(990\) 0.521871 2.23096i 0.0165861 0.0709046i
\(991\) 49.1610 22.4511i 1.56165 0.713181i 0.567722 0.823220i \(-0.307825\pi\)
0.993927 + 0.110039i \(0.0350975\pi\)
\(992\) 29.0809 24.8670i 0.923319 0.789526i
\(993\) 5.58653 6.44720i 0.177283 0.204596i
\(994\) −3.95204 + 3.83070i −0.125351 + 0.121502i
\(995\) −0.377860 0.436074i −0.0119790 0.0138245i
\(996\) −26.0871 8.55188i −0.826602 0.270977i
\(997\) 10.0863 34.3509i 0.319437 1.08790i −0.630688 0.776036i \(-0.717227\pi\)
0.950126 0.311867i \(-0.100955\pi\)
\(998\) 22.9112 8.14086i 0.725241 0.257694i
\(999\) −0.405945 + 2.82341i −0.0128435 + 0.0893288i
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 552.2.t.a.19.10 yes 240
8.3 odd 2 inner 552.2.t.a.19.8 240
23.17 odd 22 inner 552.2.t.a.523.8 yes 240
184.155 even 22 inner 552.2.t.a.523.10 yes 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
552.2.t.a.19.8 240 8.3 odd 2 inner
552.2.t.a.19.10 yes 240 1.1 even 1 trivial
552.2.t.a.523.8 yes 240 23.17 odd 22 inner
552.2.t.a.523.10 yes 240 184.155 even 22 inner