Properties

Label 750.2.m.d.511.4
Level $750$
Weight $2$
Character 750.511
Analytic conductor $5.989$
Analytic rank $0$
Dimension $140$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [750,2,Mod(31,750)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(750, base_ring=CyclotomicField(50))
 
chi = DirichletCharacter(H, H._module([0, 24]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("750.31");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 750 = 2 \cdot 3 \cdot 5^{3} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 750.m (of order \(25\), degree \(20\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(5.98878015160\)
Analytic rank: \(0\)
Dimension: \(140\)
Relative dimension: \(7\) over \(\Q(\zeta_{25})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{25}]$

Embedding invariants

Embedding label 511.4
Character \(\chi\) \(=\) 750.511
Dual form 750.2.m.d.91.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.728969 + 0.684547i) q^{2} +(0.535827 + 0.844328i) q^{3} +(0.0627905 - 0.998027i) q^{4} +(-1.13246 + 1.92809i) q^{5} +(-0.968583 - 0.248690i) q^{6} +(-1.48776 + 4.57885i) q^{7} +(0.637424 + 0.770513i) q^{8} +(-0.425779 + 0.904827i) q^{9} +O(q^{10})\) \(q+(-0.728969 + 0.684547i) q^{2} +(0.535827 + 0.844328i) q^{3} +(0.0627905 - 0.998027i) q^{4} +(-1.13246 + 1.92809i) q^{5} +(-0.968583 - 0.248690i) q^{6} +(-1.48776 + 4.57885i) q^{7} +(0.637424 + 0.770513i) q^{8} +(-0.425779 + 0.904827i) q^{9} +(-0.494339 - 2.18074i) q^{10} +(-1.04060 + 0.977187i) q^{11} +(0.876307 - 0.481754i) q^{12} +(0.655738 - 1.39351i) q^{13} +(-2.04991 - 4.35628i) q^{14} +(-2.23474 + 0.0769525i) q^{15} +(-0.992115 - 0.125333i) q^{16} +(0.202923 + 3.22537i) q^{17} +(-0.309017 - 0.951057i) q^{18} +(1.94495 - 3.06476i) q^{19} +(1.85318 + 1.25129i) q^{20} +(-4.66323 + 1.19731i) q^{21} +(0.0896331 - 1.42468i) q^{22} +(0.446225 - 2.33919i) q^{23} +(-0.309017 + 0.951057i) q^{24} +(-2.43506 - 4.36698i) q^{25} +(0.475913 + 1.46471i) q^{26} +(-0.992115 + 0.125333i) q^{27} +(4.47639 + 1.77233i) q^{28} +(-2.84216 - 1.12529i) q^{29} +(1.57638 - 1.58588i) q^{30} +(-0.474555 - 7.54283i) q^{31} +(0.809017 - 0.587785i) q^{32} +(-1.38265 - 0.355003i) q^{33} +(-2.35584 - 2.21228i) q^{34} +(-7.14360 - 8.05390i) q^{35} +(0.876307 + 0.481754i) q^{36} +(-0.180338 - 0.0227820i) q^{37} +(0.680160 + 3.56553i) q^{38} +(1.52794 - 0.193024i) q^{39} +(-2.20748 + 0.356433i) q^{40} +(1.50131 + 7.87012i) q^{41} +(2.57973 - 4.06500i) q^{42} +(7.96085 + 5.78390i) q^{43} +(0.909919 + 1.09990i) q^{44} +(-1.26241 - 1.84562i) q^{45} +(1.27600 + 2.01066i) q^{46} +(-4.06660 + 4.91568i) q^{47} +(-0.425779 - 0.904827i) q^{48} +(-13.0893 - 9.50993i) q^{49} +(4.76448 + 1.51648i) q^{50} +(-2.61454 + 1.89957i) q^{51} +(-1.34959 - 0.741943i) q^{52} +(-9.50471 + 2.44039i) q^{53} +(0.637424 - 0.770513i) q^{54} +(-0.705665 - 3.11299i) q^{55} +(-4.47639 + 1.77233i) q^{56} +3.62982 q^{57} +(2.84216 - 1.12529i) q^{58} +(-10.9356 + 6.01191i) q^{59} +(-0.0635200 + 2.23517i) q^{60} +(-1.82715 + 9.57824i) q^{61} +(5.50936 + 5.17363i) q^{62} +(-3.50961 - 3.29574i) q^{63} +(-0.187381 + 0.982287i) q^{64} +(1.94422 + 2.84242i) q^{65} +(1.25092 - 0.687700i) q^{66} +(13.5094 - 5.34873i) q^{67} +3.23175 q^{68} +(2.21414 - 0.876641i) q^{69} +(10.7207 + 0.980912i) q^{70} +(5.57607 - 6.74031i) q^{71} +(-0.968583 + 0.248690i) q^{72} +(1.41440 + 0.777573i) q^{73} +(0.147056 - 0.106843i) q^{74} +(2.38239 - 4.39593i) q^{75} +(-2.93659 - 2.13355i) q^{76} +(-2.92623 - 6.21856i) q^{77} +(-0.981689 + 1.18666i) q^{78} +(-5.49069 - 8.65194i) q^{79} +(1.36519 - 1.77095i) q^{80} +(-0.637424 - 0.770513i) q^{81} +(-6.48187 - 4.70935i) q^{82} +(-3.35959 + 5.29386i) q^{83} +(0.902144 + 4.72921i) q^{84} +(-6.44860 - 3.26135i) q^{85} +(-9.76256 + 1.23330i) q^{86} +(-0.572792 - 3.00268i) q^{87} +(-1.41624 - 0.178912i) q^{88} +(9.59159 + 5.27302i) q^{89} +(2.18367 + 0.481223i) q^{90} +(5.40511 + 5.07573i) q^{91} +(-2.30656 - 0.592223i) q^{92} +(6.11435 - 4.44233i) q^{93} +(-0.400588 - 6.36716i) q^{94} +(3.70654 + 7.22077i) q^{95} +(0.929776 + 0.368125i) q^{96} +(-5.72717 - 2.26755i) q^{97} +(16.0517 - 2.02780i) q^{98} +(-0.441120 - 1.35763i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140 q - 20 q^{5} + 5 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 140 q - 20 q^{5} + 5 q^{7} + 20 q^{10} + 5 q^{11} - 10 q^{13} + 20 q^{14} - 5 q^{17} + 35 q^{18} - 5 q^{19} - 5 q^{23} + 35 q^{24} - 40 q^{25} - 10 q^{26} + 25 q^{29} + 5 q^{30} + 30 q^{31} + 35 q^{32} - 15 q^{34} - 25 q^{37} + 35 q^{38} - 10 q^{39} + 5 q^{40} + 55 q^{41} + 35 q^{43} + 25 q^{44} + 20 q^{46} + 10 q^{47} - 60 q^{49} - 5 q^{51} + 40 q^{52} + 40 q^{55} + 20 q^{57} - 25 q^{58} + 75 q^{59} + 50 q^{61} + 5 q^{62} + 5 q^{63} - 35 q^{65} + 20 q^{66} - 95 q^{67} + 20 q^{68} - 20 q^{69} + 65 q^{70} - 50 q^{71} + 20 q^{73} + 30 q^{74} + 35 q^{75} - 5 q^{76} + 15 q^{77} + 5 q^{78} + 70 q^{79} - 15 q^{82} + 25 q^{83} + 5 q^{84} - 95 q^{85} - 5 q^{86} - 5 q^{88} - 105 q^{89} - 5 q^{90} - 65 q^{91} + 55 q^{92} - 30 q^{93} - 10 q^{94} + 125 q^{95} - 5 q^{97} + 70 q^{98} - 10 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/750\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(251\)
\(\chi(n)\) \(e\left(\frac{19}{25}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.728969 + 0.684547i −0.515459 + 0.484048i
\(3\) 0.535827 + 0.844328i 0.309360 + 0.487473i
\(4\) 0.0627905 0.998027i 0.0313953 0.499013i
\(5\) −1.13246 + 1.92809i −0.506453 + 0.862268i
\(6\) −0.968583 0.248690i −0.395422 0.101527i
\(7\) −1.48776 + 4.57885i −0.562319 + 1.73064i 0.113465 + 0.993542i \(0.463805\pi\)
−0.675784 + 0.737099i \(0.736195\pi\)
\(8\) 0.637424 + 0.770513i 0.225363 + 0.272418i
\(9\) −0.425779 + 0.904827i −0.141926 + 0.301609i
\(10\) −0.494339 2.18074i −0.156324 0.689611i
\(11\) −1.04060 + 0.977187i −0.313752 + 0.294633i −0.825384 0.564572i \(-0.809041\pi\)
0.511632 + 0.859205i \(0.329041\pi\)
\(12\) 0.876307 0.481754i 0.252968 0.139070i
\(13\) 0.655738 1.39351i 0.181869 0.386491i −0.793016 0.609201i \(-0.791490\pi\)
0.974885 + 0.222710i \(0.0714903\pi\)
\(14\) −2.04991 4.35628i −0.547861 1.16426i
\(15\) −2.23474 + 0.0769525i −0.577008 + 0.0198691i
\(16\) −0.992115 0.125333i −0.248029 0.0313333i
\(17\) 0.202923 + 3.22537i 0.0492161 + 0.782267i 0.942798 + 0.333366i \(0.108184\pi\)
−0.893581 + 0.448901i \(0.851816\pi\)
\(18\) −0.309017 0.951057i −0.0728360 0.224166i
\(19\) 1.94495 3.06476i 0.446203 0.703104i −0.544558 0.838723i \(-0.683302\pi\)
0.990761 + 0.135620i \(0.0433025\pi\)
\(20\) 1.85318 + 1.25129i 0.414383 + 0.279798i
\(21\) −4.66323 + 1.19731i −1.01760 + 0.261275i
\(22\) 0.0896331 1.42468i 0.0191098 0.303742i
\(23\) 0.446225 2.33919i 0.0930443 0.487755i −0.905009 0.425392i \(-0.860136\pi\)
0.998054 0.0623632i \(-0.0198637\pi\)
\(24\) −0.309017 + 0.951057i −0.0630778 + 0.194134i
\(25\) −2.43506 4.36698i −0.487012 0.873395i
\(26\) 0.475913 + 1.46471i 0.0933343 + 0.287253i
\(27\) −0.992115 + 0.125333i −0.190933 + 0.0241204i
\(28\) 4.47639 + 1.77233i 0.845959 + 0.334939i
\(29\) −2.84216 1.12529i −0.527777 0.208962i 0.0890981 0.996023i \(-0.471602\pi\)
−0.616875 + 0.787061i \(0.711602\pi\)
\(30\) 1.57638 1.58588i 0.287806 0.289541i
\(31\) −0.474555 7.54283i −0.0852326 1.35473i −0.775577 0.631253i \(-0.782541\pi\)
0.690345 0.723481i \(-0.257459\pi\)
\(32\) 0.809017 0.587785i 0.143015 0.103907i
\(33\) −1.38265 0.355003i −0.240688 0.0617981i
\(34\) −2.35584 2.21228i −0.404023 0.379403i
\(35\) −7.14360 8.05390i −1.20749 1.36136i
\(36\) 0.876307 + 0.481754i 0.146051 + 0.0802923i
\(37\) −0.180338 0.0227820i −0.0296475 0.00374535i 0.110496 0.993877i \(-0.464756\pi\)
−0.140143 + 0.990131i \(0.544756\pi\)
\(38\) 0.680160 + 3.56553i 0.110337 + 0.578405i
\(39\) 1.52794 0.193024i 0.244667 0.0309086i
\(40\) −2.20748 + 0.356433i −0.349033 + 0.0563571i
\(41\) 1.50131 + 7.87012i 0.234464 + 1.22911i 0.883530 + 0.468374i \(0.155160\pi\)
−0.649066 + 0.760732i \(0.724840\pi\)
\(42\) 2.57973 4.06500i 0.398061 0.627244i
\(43\) 7.96085 + 5.78390i 1.21402 + 0.882036i 0.995589 0.0938168i \(-0.0299068\pi\)
0.218429 + 0.975853i \(0.429907\pi\)
\(44\) 0.909919 + 1.09990i 0.137175 + 0.165817i
\(45\) −1.26241 1.84562i −0.188189 0.275129i
\(46\) 1.27600 + 2.01066i 0.188136 + 0.296455i
\(47\) −4.06660 + 4.91568i −0.593175 + 0.717026i −0.978613 0.205708i \(-0.934050\pi\)
0.385438 + 0.922734i \(0.374050\pi\)
\(48\) −0.425779 0.904827i −0.0614559 0.130601i
\(49\) −13.0893 9.50993i −1.86990 1.35856i
\(50\) 4.76448 + 1.51648i 0.673800 + 0.214462i
\(51\) −2.61454 + 1.89957i −0.366108 + 0.265993i
\(52\) −1.34959 0.741943i −0.187154 0.102889i
\(53\) −9.50471 + 2.44039i −1.30557 + 0.335214i −0.836510 0.547951i \(-0.815408\pi\)
−0.469062 + 0.883165i \(0.655408\pi\)
\(54\) 0.637424 0.770513i 0.0867424 0.104854i
\(55\) −0.705665 3.11299i −0.0951519 0.419756i
\(56\) −4.47639 + 1.77233i −0.598183 + 0.236838i
\(57\) 3.62982 0.480781
\(58\) 2.84216 1.12529i 0.373195 0.147758i
\(59\) −10.9356 + 6.01191i −1.42370 + 0.782684i −0.992808 0.119721i \(-0.961800\pi\)
−0.430890 + 0.902405i \(0.641800\pi\)
\(60\) −0.0635200 + 2.23517i −0.00820040 + 0.288559i
\(61\) −1.82715 + 9.57824i −0.233942 + 1.22637i 0.650423 + 0.759572i \(0.274592\pi\)
−0.884365 + 0.466796i \(0.845408\pi\)
\(62\) 5.50936 + 5.17363i 0.699690 + 0.657052i
\(63\) −3.50961 3.29574i −0.442169 0.415224i
\(64\) −0.187381 + 0.982287i −0.0234227 + 0.122786i
\(65\) 1.94422 + 2.84242i 0.241151 + 0.352559i
\(66\) 1.25092 0.687700i 0.153978 0.0846500i
\(67\) 13.5094 5.34873i 1.65043 0.653452i 0.655610 0.755099i \(-0.272411\pi\)
0.994820 + 0.101648i \(0.0324114\pi\)
\(68\) 3.23175 0.391907
\(69\) 2.21414 0.876641i 0.266552 0.105535i
\(70\) 10.7207 + 0.980912i 1.28137 + 0.117241i
\(71\) 5.57607 6.74031i 0.661758 0.799928i −0.327695 0.944784i \(-0.606272\pi\)
0.989453 + 0.144856i \(0.0462718\pi\)
\(72\) −0.968583 + 0.248690i −0.114149 + 0.0293084i
\(73\) 1.41440 + 0.777573i 0.165543 + 0.0910080i 0.562371 0.826885i \(-0.309889\pi\)
−0.396828 + 0.917893i \(0.629889\pi\)
\(74\) 0.147056 0.106843i 0.0170950 0.0124202i
\(75\) 2.38239 4.39593i 0.275095 0.507598i
\(76\) −2.93659 2.13355i −0.336850 0.244735i
\(77\) −2.92623 6.21856i −0.333475 0.708670i
\(78\) −0.981689 + 1.18666i −0.111154 + 0.134363i
\(79\) −5.49069 8.65194i −0.617750 0.973419i −0.998805 0.0488664i \(-0.984439\pi\)
0.381055 0.924552i \(-0.375561\pi\)
\(80\) 1.36519 1.77095i 0.152632 0.197998i
\(81\) −0.637424 0.770513i −0.0708249 0.0856126i
\(82\) −6.48187 4.70935i −0.715803 0.520061i
\(83\) −3.35959 + 5.29386i −0.368763 + 0.581077i −0.977147 0.212566i \(-0.931818\pi\)
0.608384 + 0.793643i \(0.291818\pi\)
\(84\) 0.902144 + 4.72921i 0.0984320 + 0.515999i
\(85\) −6.44860 3.26135i −0.699449 0.353744i
\(86\) −9.76256 + 1.23330i −1.05272 + 0.132990i
\(87\) −0.572792 3.00268i −0.0614098 0.321921i
\(88\) −1.41624 0.178912i −0.150971 0.0190721i
\(89\) 9.59159 + 5.27302i 1.01671 + 0.558939i 0.900760 0.434316i \(-0.143010\pi\)
0.115946 + 0.993256i \(0.463010\pi\)
\(90\) 2.18367 + 0.481223i 0.230179 + 0.0507254i
\(91\) 5.40511 + 5.07573i 0.566609 + 0.532081i
\(92\) −2.30656 0.592223i −0.240475 0.0617435i
\(93\) 6.11435 4.44233i 0.634028 0.460648i
\(94\) −0.400588 6.36716i −0.0413175 0.656722i
\(95\) 3.70654 + 7.22077i 0.380283 + 0.740835i
\(96\) 0.929776 + 0.368125i 0.0948949 + 0.0375716i
\(97\) −5.72717 2.26755i −0.581506 0.230235i 0.0589092 0.998263i \(-0.481238\pi\)
−0.640415 + 0.768029i \(0.721238\pi\)
\(98\) 16.0517 2.02780i 1.62146 0.204839i
\(99\) −0.441120 1.35763i −0.0443342 0.136447i
\(100\) −4.51126 + 2.15605i −0.451126 + 0.215605i
\(101\) 0.296737 0.913264i 0.0295265 0.0908732i −0.935207 0.354101i \(-0.884787\pi\)
0.964734 + 0.263228i \(0.0847870\pi\)
\(102\) 0.605569 3.17450i 0.0599603 0.314323i
\(103\) 0.422667 6.71810i 0.0416466 0.661954i −0.920724 0.390214i \(-0.872401\pi\)
0.962371 0.271740i \(-0.0875990\pi\)
\(104\) 1.49170 0.383004i 0.146274 0.0375567i
\(105\) 2.97240 10.3470i 0.290077 1.00977i
\(106\) 5.25807 8.28539i 0.510709 0.804748i
\(107\) 0.624824 + 1.92301i 0.0604040 + 0.185904i 0.976705 0.214585i \(-0.0688400\pi\)
−0.916301 + 0.400490i \(0.868840\pi\)
\(108\) 0.0627905 + 0.998027i 0.00604202 + 0.0960352i
\(109\) −0.648718 0.0819522i −0.0621360 0.00784960i 0.0942038 0.995553i \(-0.469969\pi\)
−0.156340 + 0.987703i \(0.549969\pi\)
\(110\) 2.64540 + 1.78621i 0.252229 + 0.170309i
\(111\) −0.0773947 0.164472i −0.00734598 0.0156110i
\(112\) 2.04991 4.35628i 0.193698 0.411629i
\(113\) 0.738769 0.406142i 0.0694976 0.0382066i −0.446626 0.894721i \(-0.647375\pi\)
0.516124 + 0.856514i \(0.327375\pi\)
\(114\) −2.64602 + 2.48478i −0.247823 + 0.232721i
\(115\) 4.00484 + 3.50941i 0.373453 + 0.327254i
\(116\) −1.30153 + 2.76590i −0.120844 + 0.256807i
\(117\) 0.981689 + 1.18666i 0.0907572 + 0.109707i
\(118\) 3.85629 11.8684i 0.355000 1.09258i
\(119\) −15.0704 3.86941i −1.38150 0.354709i
\(120\) −1.48377 1.67285i −0.135449 0.152709i
\(121\) −0.562745 + 8.94458i −0.0511586 + 0.813143i
\(122\) −5.22482 8.23301i −0.473033 0.745381i
\(123\) −5.84052 + 5.48461i −0.526622 + 0.494531i
\(124\) −7.55775 −0.678706
\(125\) 11.1775 + 0.250426i 0.999749 + 0.0223988i
\(126\) 4.81448 0.428908
\(127\) −13.4866 + 12.6648i −1.19675 + 1.12382i −0.207396 + 0.978257i \(0.566499\pi\)
−0.989349 + 0.145561i \(0.953501\pi\)
\(128\) −0.535827 0.844328i −0.0473608 0.0746288i
\(129\) −0.617868 + 9.82074i −0.0544003 + 0.864668i
\(130\) −3.36305 0.741126i −0.294959 0.0650011i
\(131\) 3.09497 + 0.794654i 0.270409 + 0.0694293i 0.381460 0.924386i \(-0.375422\pi\)
−0.111051 + 0.993815i \(0.535422\pi\)
\(132\) −0.441120 + 1.35763i −0.0383945 + 0.118166i
\(133\) 11.1394 + 13.4653i 0.965912 + 1.16759i
\(134\) −6.18644 + 13.1469i −0.534427 + 1.13571i
\(135\) 0.881879 2.05482i 0.0759000 0.176851i
\(136\) −2.35584 + 2.21228i −0.202012 + 0.189702i
\(137\) 12.2023 6.70829i 1.04252 0.573128i 0.134001 0.990981i \(-0.457217\pi\)
0.908514 + 0.417854i \(0.137217\pi\)
\(138\) −1.01394 + 2.15473i −0.0863122 + 0.183423i
\(139\) −4.43789 9.43100i −0.376417 0.799927i −0.999837 0.0180398i \(-0.994257\pi\)
0.623420 0.781887i \(-0.285743\pi\)
\(140\) −8.48656 + 6.62379i −0.717245 + 0.559813i
\(141\) −6.32944 0.799594i −0.533035 0.0673380i
\(142\) 0.549280 + 8.73056i 0.0460946 + 0.732652i
\(143\) 0.679363 + 2.09087i 0.0568112 + 0.174847i
\(144\) 0.535827 0.844328i 0.0446522 0.0703607i
\(145\) 5.38831 4.20560i 0.447475 0.349256i
\(146\) −1.56334 + 0.401397i −0.129383 + 0.0332198i
\(147\) 1.01590 16.1473i 0.0837904 1.33181i
\(148\) −0.0340606 + 0.178552i −0.00279977 + 0.0146769i
\(149\) −1.40469 + 4.32318i −0.115076 + 0.354169i −0.991963 0.126529i \(-0.959616\pi\)
0.876887 + 0.480697i \(0.159616\pi\)
\(150\) 1.27253 + 4.83536i 0.103902 + 0.394805i
\(151\) 5.94929 + 18.3100i 0.484146 + 1.49005i 0.833214 + 0.552951i \(0.186498\pi\)
−0.349067 + 0.937098i \(0.613502\pi\)
\(152\) 3.60120 0.454937i 0.292096 0.0369003i
\(153\) −3.00480 1.18969i −0.242924 0.0961803i
\(154\) 6.39002 + 2.52999i 0.514923 + 0.203872i
\(155\) 15.0807 + 7.62699i 1.21131 + 0.612615i
\(156\) −0.0967029 1.53705i −0.00774243 0.123062i
\(157\) −3.00273 + 2.18161i −0.239644 + 0.174112i −0.701125 0.713039i \(-0.747318\pi\)
0.461481 + 0.887150i \(0.347318\pi\)
\(158\) 9.92520 + 2.54836i 0.789606 + 0.202736i
\(159\) −7.15337 6.71746i −0.567299 0.532729i
\(160\) 0.217121 + 2.22550i 0.0171650 + 0.175941i
\(161\) 10.0469 + 5.52334i 0.791809 + 0.435300i
\(162\) 0.992115 + 0.125333i 0.0779479 + 0.00984711i
\(163\) 4.35551 + 22.8324i 0.341150 + 1.78837i 0.577171 + 0.816623i \(0.304157\pi\)
−0.236021 + 0.971748i \(0.575843\pi\)
\(164\) 7.94885 1.00417i 0.620701 0.0784128i
\(165\) 2.25027 2.26384i 0.175183 0.176240i
\(166\) −1.17486 6.15885i −0.0911872 0.478020i
\(167\) 5.48017 8.63536i 0.424068 0.668224i −0.563375 0.826201i \(-0.690497\pi\)
0.987443 + 0.157977i \(0.0504973\pi\)
\(168\) −3.89500 2.82988i −0.300506 0.218330i
\(169\) 6.77462 + 8.18911i 0.521125 + 0.629932i
\(170\) 6.93338 2.03695i 0.531766 0.156227i
\(171\) 1.94495 + 3.06476i 0.148734 + 0.234368i
\(172\) 6.27235 7.58197i 0.478262 0.578120i
\(173\) 4.84995 + 10.3067i 0.368735 + 0.783602i 0.999968 + 0.00800866i \(0.00254926\pi\)
−0.631233 + 0.775593i \(0.717451\pi\)
\(174\) 2.47302 + 1.79676i 0.187479 + 0.136212i
\(175\) 23.6185 4.65276i 1.78539 0.351715i
\(176\) 1.15487 0.839060i 0.0870513 0.0632465i
\(177\) −10.9356 6.01191i −0.821972 0.451883i
\(178\) −10.6016 + 2.72203i −0.794623 + 0.204025i
\(179\) −7.08363 + 8.56263i −0.529455 + 0.640001i −0.965649 0.259852i \(-0.916326\pi\)
0.436193 + 0.899853i \(0.356326\pi\)
\(180\) −1.92125 + 1.14403i −0.143201 + 0.0852710i
\(181\) −20.5743 + 8.14596i −1.52928 + 0.605484i −0.974074 0.226229i \(-0.927360\pi\)
−0.555205 + 0.831713i \(0.687360\pi\)
\(182\) −7.41473 −0.549616
\(183\) −9.06621 + 3.58957i −0.670194 + 0.265348i
\(184\) 2.08681 1.14723i 0.153842 0.0845753i
\(185\) 0.248152 0.321909i 0.0182445 0.0236672i
\(186\) −1.41618 + 7.42388i −0.103839 + 0.544345i
\(187\) −3.36295 3.15802i −0.245923 0.230937i
\(188\) 4.65064 + 4.36724i 0.339182 + 0.318514i
\(189\) 0.902144 4.72921i 0.0656214 0.343999i
\(190\) −7.64491 2.72641i −0.554620 0.197795i
\(191\) −1.85599 + 1.02034i −0.134295 + 0.0738293i −0.547485 0.836816i \(-0.684415\pi\)
0.413190 + 0.910645i \(0.364415\pi\)
\(192\) −0.929776 + 0.368125i −0.0671008 + 0.0265671i
\(193\) 3.47469 0.250114 0.125057 0.992150i \(-0.460089\pi\)
0.125057 + 0.992150i \(0.460089\pi\)
\(194\) 5.72717 2.26755i 0.411187 0.162800i
\(195\) −1.35817 + 3.16461i −0.0972606 + 0.226622i
\(196\) −10.3130 + 12.4663i −0.736646 + 0.890452i
\(197\) −2.55881 + 0.656992i −0.182308 + 0.0468087i −0.338740 0.940880i \(-0.610001\pi\)
0.156432 + 0.987689i \(0.450001\pi\)
\(198\) 1.25092 + 0.687700i 0.0888992 + 0.0488727i
\(199\) 13.2045 9.59363i 0.936042 0.680074i −0.0114225 0.999935i \(-0.503636\pi\)
0.947465 + 0.319860i \(0.103636\pi\)
\(200\) 1.81265 4.65986i 0.128174 0.329502i
\(201\) 11.7548 + 8.54033i 0.829117 + 0.602389i
\(202\) 0.408860 + 0.868872i 0.0287673 + 0.0611336i
\(203\) 9.38100 11.3397i 0.658417 0.795889i
\(204\) 1.73166 + 2.72865i 0.121240 + 0.191044i
\(205\) −16.8745 6.01796i −1.17856 0.420313i
\(206\) 4.29074 + 5.18662i 0.298950 + 0.361369i
\(207\) 1.92657 + 1.39974i 0.133906 + 0.0972883i
\(208\) −0.825220 + 1.30034i −0.0572187 + 0.0901623i
\(209\) 0.970925 + 5.08976i 0.0671603 + 0.352066i
\(210\) 4.91624 + 9.57741i 0.339253 + 0.660904i
\(211\) 13.9914 1.76752i 0.963205 0.121681i 0.372027 0.928222i \(-0.378663\pi\)
0.591178 + 0.806541i \(0.298663\pi\)
\(212\) 1.83877 + 9.63919i 0.126287 + 0.662022i
\(213\) 8.67884 + 1.09639i 0.594664 + 0.0751236i
\(214\) −1.77187 0.974092i −0.121122 0.0665876i
\(215\) −20.1672 + 8.79919i −1.37539 + 0.600100i
\(216\) −0.728969 0.684547i −0.0496000 0.0465775i
\(217\) 35.2435 + 9.04899i 2.39249 + 0.614286i
\(218\) 0.528995 0.384338i 0.0358281 0.0260306i
\(219\) 0.101347 + 1.61086i 0.00684838 + 0.108852i
\(220\) −3.15116 + 0.508806i −0.212451 + 0.0343037i
\(221\) 4.62766 + 1.83222i 0.311290 + 0.123248i
\(222\) 0.169007 + 0.0669147i 0.0113430 + 0.00449102i
\(223\) −5.84452 + 0.738334i −0.391378 + 0.0494425i −0.318560 0.947903i \(-0.603199\pi\)
−0.0728179 + 0.997345i \(0.523199\pi\)
\(224\) 1.48776 + 4.57885i 0.0994050 + 0.305937i
\(225\) 4.98816 0.343938i 0.332544 0.0229292i
\(226\) −0.260516 + 0.801787i −0.0173293 + 0.0533341i
\(227\) 4.84690 25.4084i 0.321700 1.68641i −0.343027 0.939326i \(-0.611452\pi\)
0.664727 0.747086i \(-0.268548\pi\)
\(228\) 0.227918 3.62266i 0.0150943 0.239916i
\(229\) −7.49269 + 1.92380i −0.495131 + 0.127128i −0.487995 0.872846i \(-0.662272\pi\)
−0.00713615 + 0.999975i \(0.502272\pi\)
\(230\) −5.32176 + 0.183253i −0.350906 + 0.0120833i
\(231\) 3.68255 5.80277i 0.242294 0.381794i
\(232\) −0.944611 2.90721i −0.0620168 0.190868i
\(233\) 1.09942 + 17.4748i 0.0720254 + 1.14481i 0.853576 + 0.520969i \(0.174429\pi\)
−0.781550 + 0.623842i \(0.785571\pi\)
\(234\) −1.52794 0.193024i −0.0998848 0.0126184i
\(235\) −4.87260 13.4076i −0.317853 0.874615i
\(236\) 5.31339 + 11.2915i 0.345873 + 0.735016i
\(237\) 4.36301 9.27188i 0.283408 0.602273i
\(238\) 13.6346 7.49570i 0.883801 0.485874i
\(239\) 6.12066 5.74768i 0.395912 0.371787i −0.460867 0.887469i \(-0.652462\pi\)
0.856780 + 0.515683i \(0.172462\pi\)
\(240\) 2.22677 + 0.203742i 0.143737 + 0.0131515i
\(241\) −7.85810 + 16.6993i −0.506185 + 1.07570i 0.474527 + 0.880241i \(0.342619\pi\)
−0.980712 + 0.195457i \(0.937381\pi\)
\(242\) −5.71276 6.90554i −0.367230 0.443905i
\(243\) 0.309017 0.951057i 0.0198234 0.0610103i
\(244\) 9.44461 + 2.42496i 0.604629 + 0.155242i
\(245\) 33.1591 14.4677i 2.11846 0.924307i
\(246\) 0.503080 7.99622i 0.0320752 0.509820i
\(247\) −2.99540 4.72000i −0.190593 0.300326i
\(248\) 5.50936 5.17363i 0.349845 0.328526i
\(249\) −6.26991 −0.397340
\(250\) −8.31950 + 7.46900i −0.526171 + 0.472381i
\(251\) −17.5020 −1.10472 −0.552358 0.833607i \(-0.686272\pi\)
−0.552358 + 0.833607i \(0.686272\pi\)
\(252\) −3.50961 + 3.29574i −0.221085 + 0.207612i
\(253\) 1.82149 + 2.87020i 0.114516 + 0.180448i
\(254\) 1.16169 18.4645i 0.0728907 1.15856i
\(255\) −0.701681 7.19226i −0.0439410 0.450397i
\(256\) 0.968583 + 0.248690i 0.0605364 + 0.0155431i
\(257\) −8.67398 + 26.6958i −0.541068 + 1.66524i 0.189091 + 0.981960i \(0.439446\pi\)
−0.730159 + 0.683277i \(0.760554\pi\)
\(258\) −6.27235 7.58197i −0.390499 0.472033i
\(259\) 0.372615 0.791848i 0.0231532 0.0492030i
\(260\) 2.95889 1.76191i 0.183503 0.109269i
\(261\) 2.22833 2.09254i 0.137930 0.129525i
\(262\) −2.80012 + 1.53938i −0.172992 + 0.0951030i
\(263\) 2.25969 4.80209i 0.139339 0.296110i −0.822963 0.568096i \(-0.807680\pi\)
0.962301 + 0.271986i \(0.0876804\pi\)
\(264\) −0.607797 1.29163i −0.0374073 0.0794946i
\(265\) 6.05842 21.0896i 0.372166 1.29552i
\(266\) −17.3379 2.19029i −1.06306 0.134295i
\(267\) 0.687272 + 10.9239i 0.0420604 + 0.668530i
\(268\) −4.48992 13.8186i −0.274265 0.844102i
\(269\) −5.68963 + 8.96542i −0.346903 + 0.546631i −0.972318 0.233661i \(-0.924929\pi\)
0.625416 + 0.780292i \(0.284929\pi\)
\(270\) 0.763760 + 2.10159i 0.0464809 + 0.127899i
\(271\) 4.97125 1.27640i 0.301982 0.0775358i −0.0946586 0.995510i \(-0.530176\pi\)
0.396641 + 0.917974i \(0.370176\pi\)
\(272\) 0.202923 3.22537i 0.0123040 0.195567i
\(273\) −1.38938 + 7.28339i −0.0840892 + 0.440811i
\(274\) −4.30298 + 13.2432i −0.259952 + 0.800051i
\(275\) 6.80127 + 2.16476i 0.410132 + 0.130540i
\(276\) −0.735884 2.26482i −0.0442950 0.136326i
\(277\) 25.2018 3.18373i 1.51423 0.191292i 0.676121 0.736791i \(-0.263660\pi\)
0.838112 + 0.545499i \(0.183660\pi\)
\(278\) 9.69104 + 3.83696i 0.581230 + 0.230125i
\(279\) 7.02702 + 2.78219i 0.420696 + 0.166566i
\(280\) 1.65214 10.6380i 0.0987341 0.635741i
\(281\) 0.348869 + 5.54511i 0.0208118 + 0.330794i 0.994632 + 0.103475i \(0.0329960\pi\)
−0.973820 + 0.227319i \(0.927004\pi\)
\(282\) 5.16132 3.74992i 0.307352 0.223305i
\(283\) −19.1713 4.92234i −1.13961 0.292603i −0.368703 0.929547i \(-0.620198\pi\)
−0.770910 + 0.636944i \(0.780198\pi\)
\(284\) −6.37689 5.98830i −0.378399 0.355340i
\(285\) −4.11063 + 6.99862i −0.243493 + 0.414562i
\(286\) −1.92653 1.05912i −0.113918 0.0626270i
\(287\) −38.2696 4.83458i −2.25899 0.285376i
\(288\) 0.187381 + 0.982287i 0.0110415 + 0.0578818i
\(289\) 6.50412 0.821662i 0.382595 0.0483330i
\(290\) −1.04898 + 6.75430i −0.0615982 + 0.396626i
\(291\) −1.15422 6.05062i −0.0676615 0.354694i
\(292\) 0.864849 1.36278i 0.0506115 0.0797509i
\(293\) −9.72535 7.06588i −0.568161 0.412793i 0.266276 0.963897i \(-0.414207\pi\)
−0.834437 + 0.551104i \(0.814207\pi\)
\(294\) 10.3130 + 12.4663i 0.601469 + 0.727051i
\(295\) 0.792680 27.8931i 0.0461516 1.62400i
\(296\) −0.0973982 0.153475i −0.00566115 0.00892055i
\(297\) 0.909919 1.09990i 0.0527988 0.0638228i
\(298\) −1.93545 4.11304i −0.112117 0.238262i
\(299\) −2.96709 2.15572i −0.171591 0.124668i
\(300\) −4.23767 2.65371i −0.244662 0.153212i
\(301\) −38.3274 + 27.8465i −2.20915 + 1.60504i
\(302\) −16.8709 9.27487i −0.970812 0.533709i
\(303\) 0.930094 0.238808i 0.0534325 0.0137191i
\(304\) −2.31373 + 2.79682i −0.132702 + 0.160409i
\(305\) −16.3985 14.3699i −0.938977 0.822818i
\(306\) 3.00480 1.18969i 0.171773 0.0680098i
\(307\) 22.2930 1.27233 0.636163 0.771555i \(-0.280521\pi\)
0.636163 + 0.771555i \(0.280521\pi\)
\(308\) −6.39002 + 2.52999i −0.364105 + 0.144160i
\(309\) 5.89875 3.24287i 0.335568 0.184480i
\(310\) −16.2144 + 4.76360i −0.920915 + 0.270554i
\(311\) 6.58303 34.5095i 0.373290 1.95685i 0.0996357 0.995024i \(-0.468232\pi\)
0.273654 0.961828i \(-0.411768\pi\)
\(312\) 1.12268 + 1.05426i 0.0635590 + 0.0596859i
\(313\) 10.1425 + 9.52446i 0.573289 + 0.538354i 0.916048 0.401069i \(-0.131361\pi\)
−0.342759 + 0.939424i \(0.611361\pi\)
\(314\) 0.695481 3.64584i 0.0392483 0.205747i
\(315\) 10.3290 3.03454i 0.581972 0.170977i
\(316\) −8.97963 + 4.93659i −0.505143 + 0.277705i
\(317\) −7.59965 + 3.00891i −0.426839 + 0.168997i −0.571715 0.820452i \(-0.693722\pi\)
0.144876 + 0.989450i \(0.453722\pi\)
\(318\) 9.81300 0.550286
\(319\) 4.05717 1.60635i 0.227158 0.0899382i
\(320\) −1.68174 1.47369i −0.0940119 0.0823818i
\(321\) −1.28885 + 1.55796i −0.0719368 + 0.0869566i
\(322\) −11.1049 + 2.85125i −0.618851 + 0.158894i
\(323\) 10.2797 + 5.65129i 0.571975 + 0.314446i
\(324\) −0.809017 + 0.587785i −0.0449454 + 0.0326547i
\(325\) −7.68220 + 0.529695i −0.426132 + 0.0293822i
\(326\) −18.8049 13.6625i −1.04151 0.756699i
\(327\) −0.278406 0.591643i −0.0153959 0.0327179i
\(328\) −5.10706 + 6.17338i −0.281990 + 0.340868i
\(329\) −16.4580 25.9337i −0.907360 1.42977i
\(330\) −0.0906744 + 3.19068i −0.00499146 + 0.175641i
\(331\) −7.25547 8.77036i −0.398797 0.482063i 0.532445 0.846465i \(-0.321273\pi\)
−0.931242 + 0.364402i \(0.881273\pi\)
\(332\) 5.07247 + 3.68536i 0.278388 + 0.202261i
\(333\) 0.0973982 0.153475i 0.00533739 0.00841038i
\(334\) 1.91644 + 10.0463i 0.104863 + 0.549711i
\(335\) −4.98600 + 32.1045i −0.272414 + 1.75406i
\(336\) 4.77652 0.603415i 0.260581 0.0329190i
\(337\) 1.65897 + 8.69664i 0.0903701 + 0.473736i 0.998485 + 0.0550164i \(0.0175211\pi\)
−0.908115 + 0.418720i \(0.862479\pi\)
\(338\) −10.5443 1.33206i −0.573536 0.0724544i
\(339\) 0.738769 + 0.406142i 0.0401244 + 0.0220586i
\(340\) −3.65983 + 6.23110i −0.198482 + 0.337929i
\(341\) 7.86458 + 7.38533i 0.425891 + 0.399938i
\(342\) −3.51578 0.902699i −0.190112 0.0488124i
\(343\) 35.7532 25.9762i 1.93049 1.40258i
\(344\) 0.617868 + 9.82074i 0.0333132 + 0.529499i
\(345\) −0.817191 + 5.26183i −0.0439961 + 0.283287i
\(346\) −10.5909 4.19322i −0.569369 0.225429i
\(347\) −14.2534 5.64333i −0.765164 0.302950i −0.0470661 0.998892i \(-0.514987\pi\)
−0.718098 + 0.695942i \(0.754987\pi\)
\(348\) −3.03272 + 0.383122i −0.162571 + 0.0205375i
\(349\) −1.57259 4.83993i −0.0841787 0.259075i 0.900104 0.435675i \(-0.143490\pi\)
−0.984283 + 0.176600i \(0.943490\pi\)
\(350\) −14.0321 + 19.5597i −0.750048 + 1.04551i
\(351\) −0.475913 + 1.46471i −0.0254024 + 0.0781805i
\(352\) −0.267486 + 1.40221i −0.0142570 + 0.0747380i
\(353\) −0.451756 + 7.18046i −0.0240446 + 0.382177i 0.967540 + 0.252717i \(0.0813243\pi\)
−0.991585 + 0.129460i \(0.958676\pi\)
\(354\) 12.0872 3.10346i 0.642426 0.164947i
\(355\) 6.68123 + 18.3843i 0.354603 + 0.975738i
\(356\) 5.86488 9.24157i 0.310838 0.489802i
\(357\) −4.80805 14.7977i −0.254469 0.783176i
\(358\) −0.697785 11.0910i −0.0368791 0.586176i
\(359\) −25.2764 3.19315i −1.33404 0.168528i −0.574240 0.818687i \(-0.694702\pi\)
−0.759798 + 0.650159i \(0.774702\pi\)
\(360\) 0.617388 2.14915i 0.0325392 0.113270i
\(361\) 2.47991 + 5.27008i 0.130522 + 0.277373i
\(362\) 9.42176 20.0223i 0.495197 1.05235i
\(363\) −7.85369 + 4.31760i −0.412212 + 0.226615i
\(364\) 5.40511 5.07573i 0.283305 0.266041i
\(365\) −3.10098 + 1.84652i −0.162313 + 0.0966511i
\(366\) 4.15176 8.82293i 0.217016 0.461182i
\(367\) 12.4537 + 15.0539i 0.650077 + 0.785808i 0.987849 0.155420i \(-0.0496730\pi\)
−0.337771 + 0.941228i \(0.609673\pi\)
\(368\) −0.735884 + 2.26482i −0.0383606 + 0.118062i
\(369\) −7.76032 1.99251i −0.403986 0.103726i
\(370\) 0.0394665 + 0.404533i 0.00205177 + 0.0210307i
\(371\) 2.96651 47.1513i 0.154013 2.44797i
\(372\) −4.04964 6.38122i −0.209964 0.330851i
\(373\) −19.6009 + 18.4064i −1.01489 + 0.953050i −0.998903 0.0468223i \(-0.985091\pi\)
−0.0159917 + 0.999872i \(0.505091\pi\)
\(374\) 4.61330 0.238548
\(375\) 5.77778 + 9.57169i 0.298363 + 0.494280i
\(376\) −6.37975 −0.329010
\(377\) −3.43182 + 3.22270i −0.176748 + 0.165977i
\(378\) 2.57973 + 4.06500i 0.132687 + 0.209081i
\(379\) 1.91144 30.3815i 0.0981843 1.56059i −0.573156 0.819446i \(-0.694281\pi\)
0.671341 0.741149i \(-0.265719\pi\)
\(380\) 7.43926 3.24583i 0.381626 0.166508i
\(381\) −17.9197 4.60101i −0.918056 0.235717i
\(382\) 0.654490 2.01431i 0.0334866 0.103061i
\(383\) 16.4019 + 19.8265i 0.838099 + 1.01309i 0.999656 + 0.0262245i \(0.00834847\pi\)
−0.161557 + 0.986863i \(0.551652\pi\)
\(384\) 0.425779 0.904827i 0.0217280 0.0461743i
\(385\) 15.3038 + 1.40025i 0.779953 + 0.0713631i
\(386\) −2.53294 + 2.37859i −0.128923 + 0.121067i
\(387\) −8.62299 + 4.74053i −0.438331 + 0.240975i
\(388\) −2.62268 + 5.57349i −0.133147 + 0.282951i
\(389\) −15.0546 31.9927i −0.763300 1.62209i −0.782791 0.622284i \(-0.786205\pi\)
0.0194919 0.999810i \(-0.493795\pi\)
\(390\) −1.17626 3.23663i −0.0595621 0.163893i
\(391\) 7.63530 + 0.964563i 0.386134 + 0.0487801i
\(392\) −1.01590 16.1473i −0.0513109 0.815564i
\(393\) 0.987421 + 3.03897i 0.0498088 + 0.153296i
\(394\) 1.41555 2.23055i 0.0713145 0.112374i
\(395\) 22.8997 0.788542i 1.15221 0.0396759i
\(396\) −1.38265 + 0.355003i −0.0694806 + 0.0178396i
\(397\) −0.864197 + 13.7360i −0.0433728 + 0.689391i 0.914926 + 0.403622i \(0.132249\pi\)
−0.958299 + 0.285769i \(0.907751\pi\)
\(398\) −3.05837 + 16.0326i −0.153302 + 0.803640i
\(399\) −5.40029 + 16.6204i −0.270353 + 0.832060i
\(400\) 1.86853 + 4.63774i 0.0934265 + 0.231887i
\(401\) 1.15180 + 3.54488i 0.0575182 + 0.177023i 0.975688 0.219164i \(-0.0703331\pi\)
−0.918170 + 0.396187i \(0.870333\pi\)
\(402\) −14.4151 + 1.82105i −0.718960 + 0.0908258i
\(403\) −10.8222 4.28482i −0.539093 0.213442i
\(404\) −0.892830 0.353496i −0.0444199 0.0175871i
\(405\) 2.20748 0.356433i 0.109690 0.0177113i
\(406\) 0.924091 + 14.6880i 0.0458618 + 0.728953i
\(407\) 0.209922 0.152517i 0.0104055 0.00756000i
\(408\) −3.13021 0.803703i −0.154969 0.0397892i
\(409\) −12.8083 12.0278i −0.633328 0.594734i 0.299922 0.953964i \(-0.403040\pi\)
−0.933249 + 0.359230i \(0.883040\pi\)
\(410\) 16.4205 7.16446i 0.810952 0.353827i
\(411\) 12.2023 + 6.70829i 0.601896 + 0.330895i
\(412\) −6.67830 0.843666i −0.329016 0.0415644i
\(413\) −11.2581 59.0168i −0.553973 2.90403i
\(414\) −2.36259 + 0.298465i −0.116115 + 0.0146688i
\(415\) −6.40243 12.4727i −0.314283 0.612260i
\(416\) −0.288584 1.51281i −0.0141490 0.0741716i
\(417\) 5.58491 8.80042i 0.273494 0.430958i
\(418\) −4.19196 3.04564i −0.205035 0.148967i
\(419\) 13.1227 + 15.8627i 0.641088 + 0.774942i 0.986545 0.163493i \(-0.0522760\pi\)
−0.345457 + 0.938435i \(0.612276\pi\)
\(420\) −10.1400 3.61623i −0.494780 0.176454i
\(421\) 2.40032 + 3.78230i 0.116984 + 0.184338i 0.897774 0.440456i \(-0.145183\pi\)
−0.780790 + 0.624794i \(0.785183\pi\)
\(422\) −8.98931 + 10.8662i −0.437593 + 0.528959i
\(423\) −2.71636 5.77257i −0.132074 0.280672i
\(424\) −7.93888 5.76794i −0.385546 0.280116i
\(425\) 13.5910 8.74012i 0.659260 0.423958i
\(426\) −7.07714 + 5.14184i −0.342888 + 0.249123i
\(427\) −41.1390 22.6163i −1.99085 1.09448i
\(428\) 1.95845 0.502844i 0.0946652 0.0243059i
\(429\) −1.40135 + 1.69395i −0.0676580 + 0.0817845i
\(430\) 8.67782 20.2198i 0.418482 0.975083i
\(431\) 37.2393 14.7441i 1.79375 0.710197i 0.799817 0.600243i \(-0.204930\pi\)
0.993937 0.109954i \(-0.0350703\pi\)
\(432\) 1.00000 0.0481125
\(433\) 15.0144 5.94464i 0.721548 0.285681i 0.0214920 0.999769i \(-0.493158\pi\)
0.700056 + 0.714088i \(0.253158\pi\)
\(434\) −31.8859 + 17.5294i −1.53057 + 0.841438i
\(435\) 6.43810 + 2.29603i 0.308683 + 0.110086i
\(436\) −0.122524 + 0.642292i −0.00586783 + 0.0307602i
\(437\) −6.30117 5.91719i −0.301426 0.283058i
\(438\) −1.17659 1.10489i −0.0562196 0.0527937i
\(439\) −6.36775 + 33.3809i −0.303916 + 1.59318i 0.422786 + 0.906230i \(0.361052\pi\)
−0.726702 + 0.686953i \(0.758948\pi\)
\(440\) 1.94879 2.52802i 0.0929051 0.120519i
\(441\) 14.1780 7.79442i 0.675143 0.371163i
\(442\) −4.62766 + 1.83222i −0.220115 + 0.0871498i
\(443\) −32.1300 −1.52654 −0.763272 0.646077i \(-0.776408\pi\)
−0.763272 + 0.646077i \(0.776408\pi\)
\(444\) −0.169007 + 0.0669147i −0.00802072 + 0.00317563i
\(445\) −21.0290 + 12.5219i −0.996869 + 0.593597i
\(446\) 3.75504 4.53907i 0.177807 0.214931i
\(447\) −4.40285 + 1.13046i −0.208248 + 0.0534689i
\(448\) −4.21896 2.31940i −0.199327 0.109581i
\(449\) 21.3527 15.5136i 1.00769 0.732133i 0.0439701 0.999033i \(-0.485999\pi\)
0.963724 + 0.266900i \(0.0859994\pi\)
\(450\) −3.40077 + 3.66535i −0.160314 + 0.172786i
\(451\) −9.25283 6.72257i −0.435699 0.316554i
\(452\) −0.358953 0.762814i −0.0168837 0.0358797i
\(453\) −12.2719 + 14.8342i −0.576583 + 0.696969i
\(454\) 13.8600 + 21.8398i 0.650481 + 1.02499i
\(455\) −15.9075 + 4.67345i −0.745757 + 0.219095i
\(456\) 2.31373 + 2.79682i 0.108351 + 0.130973i
\(457\) −1.38813 1.00854i −0.0649340 0.0471773i 0.554845 0.831954i \(-0.312778\pi\)
−0.619779 + 0.784777i \(0.712778\pi\)
\(458\) 4.14501 6.53149i 0.193684 0.305196i
\(459\) −0.605569 3.17450i −0.0282655 0.148173i
\(460\) 3.75395 3.77658i 0.175029 0.176084i
\(461\) 32.2852 4.07856i 1.50367 0.189958i 0.670058 0.742309i \(-0.266269\pi\)
0.833612 + 0.552351i \(0.186269\pi\)
\(462\) 1.28781 + 6.75091i 0.0599141 + 0.314081i
\(463\) −31.7149 4.00653i −1.47392 0.186199i −0.653049 0.757316i \(-0.726511\pi\)
−0.820869 + 0.571116i \(0.806511\pi\)
\(464\) 2.67872 + 1.47264i 0.124356 + 0.0683655i
\(465\) 1.64095 + 16.8198i 0.0760972 + 0.779999i
\(466\) −12.7638 11.9860i −0.591270 0.555239i
\(467\) −7.48723 1.92239i −0.346468 0.0889578i 0.0714461 0.997444i \(-0.477239\pi\)
−0.417914 + 0.908487i \(0.637239\pi\)
\(468\) 1.24596 0.905241i 0.0575944 0.0418448i
\(469\) 4.39238 + 69.8149i 0.202821 + 3.22375i
\(470\) 12.7301 + 6.43820i 0.587196 + 0.296972i
\(471\) −3.45094 1.36633i −0.159011 0.0629569i
\(472\) −11.6029 4.59391i −0.534066 0.211452i
\(473\) −13.9360 + 1.76053i −0.640778 + 0.0809490i
\(474\) 3.16654 + 9.74560i 0.145444 + 0.447630i
\(475\) −18.1198 1.03071i −0.831394 0.0472921i
\(476\) −4.80805 + 14.7977i −0.220377 + 0.678250i
\(477\) 1.83877 9.63919i 0.0841916 0.441348i
\(478\) −0.527210 + 8.37976i −0.0241140 + 0.383281i
\(479\) 8.12364 2.08580i 0.371178 0.0953024i −0.0584928 0.998288i \(-0.518629\pi\)
0.429671 + 0.902985i \(0.358629\pi\)
\(480\) −1.76271 + 1.37581i −0.0804565 + 0.0627966i
\(481\) −0.150002 + 0.236365i −0.00683949 + 0.0107773i
\(482\) −5.70316 17.5525i −0.259772 0.799496i
\(483\) 0.719898 + 11.4425i 0.0327565 + 0.520650i
\(484\) 8.89159 + 1.12327i 0.404163 + 0.0510577i
\(485\) 10.8578 8.47459i 0.493029 0.384811i
\(486\) 0.425779 + 0.904827i 0.0193137 + 0.0410438i
\(487\) −2.99963 + 6.37454i −0.135926 + 0.288858i −0.961189 0.275891i \(-0.911027\pi\)
0.825263 + 0.564749i \(0.191027\pi\)
\(488\) −8.54483 + 4.69756i −0.386806 + 0.212649i
\(489\) −16.9442 + 15.9117i −0.766245 + 0.719552i
\(490\) −14.2681 + 33.2455i −0.644569 + 1.50188i
\(491\) 13.1385 27.9207i 0.592931 1.26004i −0.352984 0.935629i \(-0.614833\pi\)
0.945915 0.324413i \(-0.105167\pi\)
\(492\) 5.10706 + 6.17338i 0.230244 + 0.278317i
\(493\) 3.05274 9.39538i 0.137489 0.423147i
\(494\) 5.41461 + 1.39024i 0.243615 + 0.0625497i
\(495\) 3.11718 + 0.686943i 0.140107 + 0.0308758i
\(496\) −0.474555 + 7.54283i −0.0213081 + 0.338683i
\(497\) 22.5670 + 35.5599i 1.01227 + 1.59508i
\(498\) 4.57057 4.29205i 0.204812 0.192331i
\(499\) −7.64895 −0.342414 −0.171207 0.985235i \(-0.554767\pi\)
−0.171207 + 0.985235i \(0.554767\pi\)
\(500\) 0.951775 11.1398i 0.0425647 0.498185i
\(501\) 10.2275 0.456931
\(502\) 12.7584 11.9809i 0.569435 0.534735i
\(503\) −20.7415 32.6834i −0.924817 1.45728i −0.888993 0.457921i \(-0.848594\pi\)
−0.0358240 0.999358i \(-0.511406\pi\)
\(504\) 0.302304 4.80498i 0.0134657 0.214031i
\(505\) 1.42481 + 1.60637i 0.0634032 + 0.0714827i
\(506\) −3.29259 0.845395i −0.146374 0.0375824i
\(507\) −3.28427 + 10.1080i −0.145860 + 0.448910i
\(508\) 11.7930 + 14.2552i 0.523228 + 0.632474i
\(509\) −10.6927 + 22.7232i −0.473947 + 1.00719i 0.514760 + 0.857334i \(0.327881\pi\)
−0.988708 + 0.149856i \(0.952119\pi\)
\(510\) 5.43494 + 4.76260i 0.240663 + 0.210891i
\(511\) −5.66467 + 5.31948i −0.250590 + 0.235320i
\(512\) −0.876307 + 0.481754i −0.0387276 + 0.0212907i
\(513\) −1.54550 + 3.28436i −0.0682356 + 0.145008i
\(514\) −11.9515 25.3981i −0.527156 1.12026i
\(515\) 12.4744 + 8.42293i 0.549690 + 0.371159i
\(516\) 9.76256 + 1.23330i 0.429773 + 0.0542929i
\(517\) −0.571836 9.08908i −0.0251493 0.399737i
\(518\) 0.270432 + 0.832305i 0.0118821 + 0.0365694i
\(519\) −6.10348 + 9.61754i −0.267913 + 0.422163i
\(520\) −0.950831 + 3.30988i −0.0416967 + 0.145148i
\(521\) 30.8890 7.93095i 1.35327 0.347461i 0.498691 0.866780i \(-0.333814\pi\)
0.854581 + 0.519318i \(0.173814\pi\)
\(522\) −0.191940 + 3.05079i −0.00840097 + 0.133530i
\(523\) −4.42403 + 23.1916i −0.193449 + 1.01410i 0.744578 + 0.667536i \(0.232651\pi\)
−0.938027 + 0.346562i \(0.887349\pi\)
\(524\) 0.987421 3.03897i 0.0431357 0.132758i
\(525\) 16.5839 + 17.4487i 0.723780 + 0.761523i
\(526\) 1.64001 + 5.04744i 0.0715080 + 0.220079i
\(527\) 24.2321 3.06123i 1.05557 0.133349i
\(528\) 1.32725 + 0.525495i 0.0577611 + 0.0228693i
\(529\) 16.1122 + 6.37926i 0.700529 + 0.277359i
\(530\) 10.0204 + 19.5209i 0.435259 + 0.847935i
\(531\) −0.783577 12.4546i −0.0340043 0.540483i
\(532\) 14.1381 10.2720i 0.612966 0.445346i
\(533\) 11.9516 + 3.06864i 0.517680 + 0.132918i
\(534\) −7.97891 7.49269i −0.345281 0.324240i
\(535\) −4.41532 0.973020i −0.190891 0.0420673i
\(536\) 12.7325 + 6.99973i 0.549958 + 0.302342i
\(537\) −11.0253 1.39282i −0.475775 0.0601044i
\(538\) −1.98969 10.4303i −0.0857817 0.449683i
\(539\) 22.9137 2.89467i 0.986962 0.124682i
\(540\) −1.99539 1.00916i −0.0858680 0.0434274i
\(541\) −6.02055 31.5608i −0.258843 1.35691i −0.839767 0.542947i \(-0.817308\pi\)
0.580924 0.813958i \(-0.302692\pi\)
\(542\) −2.75013 + 4.33351i −0.118128 + 0.186140i
\(543\) −17.9021 13.0067i −0.768255 0.558170i
\(544\) 2.05999 + 2.49010i 0.0883215 + 0.106762i
\(545\) 0.892660 1.15798i 0.0382374 0.0496024i
\(546\) −3.97301 6.26046i −0.170029 0.267923i
\(547\) 10.9175 13.1970i 0.466800 0.564264i −0.483602 0.875288i \(-0.660672\pi\)
0.950402 + 0.311024i \(0.100672\pi\)
\(548\) −5.92886 12.5995i −0.253268 0.538223i
\(549\) −7.88869 5.73147i −0.336681 0.244613i
\(550\) −6.43979 + 3.07775i −0.274594 + 0.131236i
\(551\) −8.97663 + 6.52191i −0.382417 + 0.277842i
\(552\) 2.08681 + 1.14723i 0.0888206 + 0.0488296i
\(553\) 47.7847 12.2690i 2.03201 0.521732i
\(554\) −16.1919 + 19.5727i −0.687930 + 0.831564i
\(555\) 0.404763 + 0.0370345i 0.0171812 + 0.00157203i
\(556\) −9.69104 + 3.83696i −0.410992 + 0.162723i
\(557\) −20.9445 −0.887445 −0.443723 0.896164i \(-0.646342\pi\)
−0.443723 + 0.896164i \(0.646342\pi\)
\(558\) −7.02702 + 2.78219i −0.297477 + 0.117780i
\(559\) 13.2802 7.30083i 0.561691 0.308792i
\(560\) 6.07785 + 8.88572i 0.256836 + 0.375490i
\(561\) 0.864446 4.53158i 0.0364969 0.191324i
\(562\) −4.05021 3.80340i −0.170848 0.160437i
\(563\) −2.28233 2.14325i −0.0961889 0.0903274i 0.634961 0.772544i \(-0.281016\pi\)
−0.731150 + 0.682217i \(0.761016\pi\)
\(564\) −1.19545 + 6.26674i −0.0503373 + 0.263878i
\(565\) −0.0535505 + 1.88435i −0.00225289 + 0.0792754i
\(566\) 17.3448 9.53540i 0.729057 0.400803i
\(567\) 4.47639 1.77233i 0.187991 0.0744309i
\(568\) 8.74782 0.367050
\(569\) 27.5234 10.8973i 1.15384 0.456839i 0.288234 0.957560i \(-0.406932\pi\)
0.865608 + 0.500721i \(0.166932\pi\)
\(570\) −1.79436 7.91570i −0.0751575 0.331552i
\(571\) 7.28985 8.81192i 0.305071 0.368767i −0.595591 0.803288i \(-0.703082\pi\)
0.900662 + 0.434520i \(0.143082\pi\)
\(572\) 2.12940 0.546736i 0.0890346 0.0228602i
\(573\) −1.85599 1.02034i −0.0775353 0.0426254i
\(574\) 31.2069 22.6731i 1.30255 0.946357i
\(575\) −11.3018 + 3.74741i −0.471317 + 0.156278i
\(576\) −0.809017 0.587785i −0.0337090 0.0244911i
\(577\) 11.5506 + 24.5463i 0.480858 + 1.02187i 0.987192 + 0.159537i \(0.0510001\pi\)
−0.506334 + 0.862337i \(0.669000\pi\)
\(578\) −4.17883 + 5.05134i −0.173817 + 0.210108i
\(579\) 1.86183 + 2.93378i 0.0773752 + 0.121924i
\(580\) −3.85896 5.64175i −0.160235 0.234261i
\(581\) −19.2415 23.2590i −0.798273 0.964947i
\(582\) 4.98333 + 3.62060i 0.206565 + 0.150079i
\(583\) 7.50586 11.8273i 0.310861 0.489838i
\(584\) 0.302442 + 1.58546i 0.0125151 + 0.0656067i
\(585\) −3.39971 + 0.548939i −0.140561 + 0.0226958i
\(586\) 11.9264 1.50666i 0.492675 0.0622394i
\(587\) −1.79423 9.40570i −0.0740559 0.388215i −0.999946 0.0104211i \(-0.996683\pi\)
0.925890 0.377794i \(-0.123317\pi\)
\(588\) −16.0517 2.02780i −0.661960 0.0836250i
\(589\) −24.0400 13.2161i −0.990549 0.544559i
\(590\) 18.5163 + 20.8758i 0.762305 + 0.859445i
\(591\) −1.92580 1.80844i −0.0792167 0.0743894i
\(592\) 0.176061 + 0.0452048i 0.00723607 + 0.00185791i
\(593\) −15.9443 + 11.5842i −0.654756 + 0.475708i −0.864888 0.501965i \(-0.832611\pi\)
0.210132 + 0.977673i \(0.432611\pi\)
\(594\) 0.0896331 + 1.42468i 0.00367769 + 0.0584552i
\(595\) 24.5272 24.6751i 1.00552 1.01158i
\(596\) 4.22645 + 1.67337i 0.173122 + 0.0685439i
\(597\) 15.1755 + 6.00840i 0.621092 + 0.245908i
\(598\) 3.63860 0.459662i 0.148794 0.0187970i
\(599\) 7.11232 + 21.8895i 0.290602 + 0.894380i 0.984663 + 0.174465i \(0.0558194\pi\)
−0.694062 + 0.719915i \(0.744181\pi\)
\(600\) 4.90572 0.966408i 0.200275 0.0394534i
\(601\) 4.02000 12.3723i 0.163979 0.504677i −0.834980 0.550280i \(-0.814521\pi\)
0.998960 + 0.0456033i \(0.0145210\pi\)
\(602\) 8.87724 46.5361i 0.361809 1.89667i
\(603\) −0.912326 + 14.5010i −0.0371528 + 0.590527i
\(604\) 18.6475 4.78785i 0.758754 0.194815i
\(605\) −16.6087 11.2144i −0.675238 0.455931i
\(606\) −0.514534 + 0.810776i −0.0209015 + 0.0329355i
\(607\) 14.9533 + 46.0214i 0.606934 + 1.86795i 0.482905 + 0.875673i \(0.339582\pi\)
0.124030 + 0.992279i \(0.460418\pi\)
\(608\) −0.227918 3.62266i −0.00924331 0.146918i
\(609\) 14.6010 + 1.84453i 0.591662 + 0.0747443i
\(610\) 21.7909 0.750361i 0.882287 0.0303812i
\(611\) 4.18344 + 8.89026i 0.169244 + 0.359662i
\(612\) −1.37601 + 2.92417i −0.0556219 + 0.118203i
\(613\) 6.66838 3.66597i 0.269333 0.148067i −0.341365 0.939931i \(-0.610889\pi\)
0.610698 + 0.791864i \(0.290889\pi\)
\(614\) −16.2509 + 15.2606i −0.655831 + 0.615867i
\(615\) −3.96066 17.4722i −0.159709 0.704546i
\(616\) 2.92623 6.21856i 0.117901 0.250553i
\(617\) 1.93037 + 2.33341i 0.0777136 + 0.0939396i 0.807937 0.589269i \(-0.200584\pi\)
−0.730223 + 0.683208i \(0.760584\pi\)
\(618\) −2.08011 + 6.40192i −0.0836743 + 0.257523i
\(619\) −10.9029 2.79939i −0.438225 0.112517i 0.0231304 0.999732i \(-0.492637\pi\)
−0.461355 + 0.887215i \(0.652637\pi\)
\(620\) 8.55886 14.5720i 0.343732 0.585226i
\(621\) −0.149528 + 2.37667i −0.00600034 + 0.0953726i
\(622\) 18.8245 + 29.6627i 0.754795 + 1.18937i
\(623\) −38.4143 + 36.0734i −1.53904 + 1.44525i
\(624\) −1.54009 −0.0616529
\(625\) −13.1410 + 21.2677i −0.525639 + 0.850708i
\(626\) −13.9135 −0.556096
\(627\) −3.77718 + 3.54701i −0.150846 + 0.141654i
\(628\) 1.98877 + 3.13379i 0.0793604 + 0.125052i
\(629\) 0.0368857 0.586281i 0.00147073 0.0233766i
\(630\) −5.45222 + 9.28276i −0.217222 + 0.369834i
\(631\) 35.1177 + 9.01670i 1.39802 + 0.358949i 0.871157 0.491004i \(-0.163370\pi\)
0.526858 + 0.849953i \(0.323370\pi\)
\(632\) 3.16654 9.74560i 0.125958 0.387659i
\(633\) 8.98931 + 10.8662i 0.357293 + 0.431893i
\(634\) 3.48016 7.39572i 0.138215 0.293722i
\(635\) −9.14575 40.3458i −0.362938 1.60108i
\(636\) −7.15337 + 6.71746i −0.283650 + 0.266365i
\(637\) −21.8354 + 12.0041i −0.865148 + 0.475619i
\(638\) −1.85793 + 3.94830i −0.0735562 + 0.156315i
\(639\) 3.72464 + 7.91526i 0.147345 + 0.313123i
\(640\) 2.23474 0.0769525i 0.0883360 0.00304182i
\(641\) −11.2613 1.42264i −0.444796 0.0561909i −0.100255 0.994962i \(-0.531966\pi\)
−0.344542 + 0.938771i \(0.611966\pi\)
\(642\) −0.126961 2.01798i −0.00501074 0.0796434i
\(643\) −2.10287 6.47196i −0.0829290 0.255229i 0.900991 0.433837i \(-0.142841\pi\)
−0.983920 + 0.178608i \(0.942841\pi\)
\(644\) 6.14330 9.68029i 0.242080 0.381457i
\(645\) −18.2355 12.3129i −0.718024 0.484821i
\(646\) −11.3621 + 2.91730i −0.447036 + 0.114779i
\(647\) −2.65574 + 42.2118i −0.104408 + 1.65952i 0.502376 + 0.864649i \(0.332459\pi\)
−0.606784 + 0.794867i \(0.707541\pi\)
\(648\) 0.187381 0.982287i 0.00736103 0.0385879i
\(649\) 5.50483 16.9421i 0.216084 0.665037i
\(650\) 5.23748 5.64496i 0.205431 0.221414i
\(651\) 11.2441 + 34.6058i 0.440691 + 1.35631i
\(652\) 23.0608 2.91326i 0.903132 0.114092i
\(653\) −20.6338 8.16948i −0.807461 0.319697i −0.0721222 0.997396i \(-0.522977\pi\)
−0.735339 + 0.677699i \(0.762977\pi\)
\(654\) 0.607957 + 0.240707i 0.0237730 + 0.00941240i
\(655\) −5.03711 + 5.06747i −0.196816 + 0.198002i
\(656\) −0.503080 7.99622i −0.0196420 0.312200i
\(657\) −1.30579 + 0.948712i −0.0509437 + 0.0370128i
\(658\) 29.7502 + 7.63856i 1.15978 + 0.297782i
\(659\) −9.19770 8.63722i −0.358292 0.336458i 0.484408 0.874842i \(-0.339035\pi\)
−0.842700 + 0.538384i \(0.819035\pi\)
\(660\) −2.11807 2.38798i −0.0824460 0.0929520i
\(661\) 31.6266 + 17.3869i 1.23013 + 0.676270i 0.958214 0.286051i \(-0.0923426\pi\)
0.271916 + 0.962321i \(0.412343\pi\)
\(662\) 11.2927 + 1.42660i 0.438905 + 0.0554466i
\(663\) 0.932629 + 4.88901i 0.0362203 + 0.189874i
\(664\) −6.22047 + 0.785828i −0.241401 + 0.0304961i
\(665\) −38.5772 + 6.22893i −1.49596 + 0.241547i
\(666\) 0.0340606 + 0.178552i 0.00131982 + 0.00691875i
\(667\) −3.90052 + 6.14623i −0.151029 + 0.237983i
\(668\) −8.27422 6.01157i −0.320139 0.232595i
\(669\) −3.75504 4.53907i −0.145178 0.175491i
\(670\) −18.3424 26.8163i −0.708629 1.03600i
\(671\) −7.45840 11.7526i −0.287928 0.453703i
\(672\) −3.06887 + 3.70962i −0.118384 + 0.143102i
\(673\) −3.27537 6.96051i −0.126256 0.268308i 0.831699 0.555228i \(-0.187369\pi\)
−0.957955 + 0.286919i \(0.907369\pi\)
\(674\) −7.16260 5.20394i −0.275893 0.200448i
\(675\) 2.96318 + 4.02735i 0.114053 + 0.155013i
\(676\) 8.59834 6.24706i 0.330705 0.240271i
\(677\) 41.4602 + 22.7930i 1.59345 + 0.876005i 0.997324 + 0.0731116i \(0.0232929\pi\)
0.596123 + 0.802893i \(0.296707\pi\)
\(678\) −0.816563 + 0.209658i −0.0313599 + 0.00805186i
\(679\) 18.9034 22.8503i 0.725446 0.876913i
\(680\) −1.59758 7.04760i −0.0612643 0.270263i
\(681\) 24.0501 9.52210i 0.921601 0.364888i
\(682\) −10.7886 −0.413118
\(683\) 35.4365 14.0303i 1.35594 0.536854i 0.426052 0.904699i \(-0.359904\pi\)
0.929887 + 0.367844i \(0.119904\pi\)
\(684\) 3.18084 1.74868i 0.121622 0.0668624i
\(685\) −0.884499 + 31.1241i −0.0337950 + 1.18919i
\(686\) −8.28102 + 43.4106i −0.316171 + 1.65743i
\(687\) −5.63910 5.29547i −0.215145 0.202035i
\(688\) −7.17316 6.73605i −0.273474 0.256809i
\(689\) −2.83187 + 14.8452i −0.107886 + 0.565557i
\(690\) −3.00626 4.39511i −0.114447 0.167319i
\(691\) −8.29613 + 4.56083i −0.315600 + 0.173502i −0.631678 0.775231i \(-0.717634\pi\)
0.316079 + 0.948733i \(0.397634\pi\)
\(692\) 10.5909 4.19322i 0.402604 0.159402i
\(693\) 6.87265 0.261070
\(694\) 14.2534 5.64333i 0.541053 0.214218i
\(695\) 23.2095 + 2.12360i 0.880388 + 0.0805527i
\(696\) 1.94849 2.35532i 0.0738575 0.0892784i
\(697\) −25.0794 + 6.43929i −0.949949 + 0.243906i
\(698\) 4.45952 + 2.45164i 0.168796 + 0.0927961i
\(699\) −14.1654 + 10.2917i −0.535783 + 0.389269i
\(700\) −3.16056 23.8640i −0.119458 0.901976i
\(701\) −12.1828 8.85129i −0.460136 0.334309i 0.333448 0.942768i \(-0.391788\pi\)
−0.793585 + 0.608460i \(0.791788\pi\)
\(702\) −0.655738 1.39351i −0.0247492 0.0525948i
\(703\) −0.420572 + 0.508384i −0.0158622 + 0.0191741i
\(704\) −0.764889 1.20527i −0.0288278 0.0454254i
\(705\) 8.70954 11.2982i 0.328020 0.425516i
\(706\) −4.58605 5.54358i −0.172598 0.208635i
\(707\) 3.74022 + 2.71743i 0.140666 + 0.102199i
\(708\) −6.68670 + 10.5366i −0.251302 + 0.395988i
\(709\) −8.13093 42.6238i −0.305364 1.60077i −0.722129 0.691758i \(-0.756836\pi\)
0.416766 0.909014i \(-0.363164\pi\)
\(710\) −17.4553 8.82797i −0.655087 0.331308i
\(711\) 10.1663 1.28431i 0.381267 0.0481652i
\(712\) 2.05098 + 10.7516i 0.0768636 + 0.402933i
\(713\) −17.8559 2.25572i −0.668708 0.0844775i
\(714\) 13.6346 + 7.49570i 0.510263 + 0.280519i
\(715\) −4.80073 1.05795i −0.179537 0.0395652i
\(716\) 8.10095 + 7.60730i 0.302747 + 0.284298i
\(717\) 8.13254 + 2.08808i 0.303715 + 0.0779808i
\(718\) 20.6116 14.9752i 0.769217 0.558869i
\(719\) 2.24926 + 35.7510i 0.0838834 + 1.33329i 0.784669 + 0.619916i \(0.212833\pi\)
−0.700785 + 0.713372i \(0.747167\pi\)
\(720\) 1.02114 + 1.98929i 0.0380555 + 0.0741365i
\(721\) 30.1323 + 11.9302i 1.12219 + 0.444305i
\(722\) −5.41540 2.14411i −0.201540 0.0797954i
\(723\) −18.3103 + 2.31313i −0.680967 + 0.0860261i
\(724\) 6.83801 + 21.0452i 0.254133 + 0.782140i
\(725\) 2.00671 + 15.1518i 0.0745273 + 0.562725i
\(726\) 2.76949 8.52362i 0.102785 0.316341i
\(727\) 0.526878 2.76199i 0.0195408 0.102437i −0.971181 0.238345i \(-0.923395\pi\)
0.990721 + 0.135908i \(0.0433952\pi\)
\(728\) −0.465575 + 7.40010i −0.0172553 + 0.274266i
\(729\) 0.968583 0.248690i 0.0358735 0.00921074i
\(730\) 0.996492 3.46882i 0.0368818 0.128387i
\(731\) −17.0398 + 26.8504i −0.630238 + 0.993097i
\(732\) 3.01321 + 9.27371i 0.111372 + 0.342766i
\(733\) 1.59271 + 25.3154i 0.0588280 + 0.935044i 0.911162 + 0.412047i \(0.135186\pi\)
−0.852334 + 0.522997i \(0.824814\pi\)
\(734\) −19.3835 2.44870i −0.715457 0.0903832i
\(735\) 29.9830 + 20.2450i 1.10594 + 0.746748i
\(736\) −1.01394 2.15473i −0.0373743 0.0794244i
\(737\) −8.83110 + 18.7670i −0.325298 + 0.691293i
\(738\) 7.02100 3.85983i 0.258446 0.142082i
\(739\) 14.1347 13.2734i 0.519954 0.488270i −0.379556 0.925169i \(-0.623923\pi\)
0.899511 + 0.436899i \(0.143923\pi\)
\(740\) −0.305692 0.267875i −0.0112375 0.00984730i
\(741\) 2.38021 5.05820i 0.0874392 0.185818i
\(742\) 30.1148 + 36.4025i 1.10555 + 1.33638i
\(743\) 2.04684 6.29952i 0.0750912 0.231107i −0.906465 0.422281i \(-0.861230\pi\)
0.981556 + 0.191174i \(0.0612295\pi\)
\(744\) 7.32031 + 1.87954i 0.268375 + 0.0689071i
\(745\) −6.74472 7.60420i −0.247107 0.278596i
\(746\) 1.68834 26.8354i 0.0618146 0.982516i
\(747\) −3.35959 5.29386i −0.122921 0.193692i
\(748\) −3.36295 + 3.15802i −0.122962 + 0.115469i
\(749\) −9.73475 −0.355700
\(750\) −10.7641 3.02230i −0.393049 0.110359i
\(751\) −33.6328 −1.22728 −0.613638 0.789587i \(-0.710295\pi\)
−0.613638 + 0.789587i \(0.710295\pi\)
\(752\) 4.65064 4.36724i 0.169591 0.159257i
\(753\) −9.37803 14.7774i −0.341754 0.538519i
\(754\) 0.295604 4.69849i 0.0107653 0.171109i
\(755\) −42.0407 9.26465i −1.53002 0.337175i
\(756\) −4.66323 1.19731i −0.169600 0.0435459i
\(757\) −8.80285 + 27.0924i −0.319945 + 0.984689i 0.653726 + 0.756731i \(0.273205\pi\)
−0.973671 + 0.227958i \(0.926795\pi\)
\(758\) 19.4042 + 23.4557i 0.704793 + 0.851948i
\(759\) −1.44739 + 3.07586i −0.0525370 + 0.111647i
\(760\) −3.20106 + 7.45863i −0.116115 + 0.270553i
\(761\) 6.81011 6.39512i 0.246866 0.231823i −0.551229 0.834354i \(-0.685841\pi\)
0.798095 + 0.602531i \(0.205841\pi\)
\(762\) 16.2125 8.91291i 0.587318 0.322881i
\(763\) 1.34038 2.84846i 0.0485251 0.103121i
\(764\) 0.901789 + 1.91640i 0.0326256 + 0.0693329i
\(765\) 5.69664 4.44625i 0.205963 0.160755i
\(766\) −25.5287 3.22502i −0.922389 0.116525i
\(767\) 1.20678 + 19.1812i 0.0435742 + 0.692592i
\(768\) 0.309017 + 0.951057i 0.0111507 + 0.0343183i
\(769\) 10.7969 17.0131i 0.389345 0.613509i −0.591961 0.805967i \(-0.701646\pi\)
0.981305 + 0.192458i \(0.0616459\pi\)
\(770\) −12.1145 + 9.45542i −0.436577 + 0.340750i
\(771\) −27.1877 + 6.98063i −0.979143 + 0.251401i
\(772\) 0.218178 3.46784i 0.00785239 0.124810i
\(773\) −0.0714530 + 0.374570i −0.00256999 + 0.0134723i −0.983549 0.180641i \(-0.942183\pi\)
0.980979 + 0.194113i \(0.0621829\pi\)
\(774\) 3.04077 9.35854i 0.109298 0.336386i
\(775\) −31.7838 + 20.4396i −1.14171 + 0.734213i
\(776\) −1.90346 5.85825i −0.0683303 0.210299i
\(777\) 0.868237 0.109684i 0.0311478 0.00393488i
\(778\) 32.8749 + 13.0161i 1.17862 + 0.466649i
\(779\) 27.0400 + 10.7059i 0.968808 + 0.383578i
\(780\) 3.07308 + 1.55420i 0.110034 + 0.0556492i
\(781\) 0.784094 + 12.4628i 0.0280571 + 0.445955i
\(782\) −6.22619 + 4.52359i −0.222648 + 0.161763i
\(783\) 2.96079 + 0.760202i 0.105810 + 0.0271674i
\(784\) 11.7942 + 11.0755i 0.421220 + 0.395552i
\(785\) −0.805864 8.26014i −0.0287625 0.294817i
\(786\) −2.80012 1.53938i −0.0998769 0.0549078i
\(787\) 18.0125 + 2.27551i 0.642077 + 0.0811132i 0.439628 0.898180i \(-0.355110\pi\)
0.202448 + 0.979293i \(0.435110\pi\)
\(788\) 0.495026 + 2.59502i 0.0176346 + 0.0924437i
\(789\) 5.26535 0.665168i 0.187451 0.0236806i
\(790\) −16.1534 + 16.2507i −0.574711 + 0.578176i
\(791\) 0.760552 + 3.98695i 0.0270421 + 0.141760i
\(792\) 0.764889 1.20527i 0.0271792 0.0428275i
\(793\) 12.1493 + 8.82697i 0.431434 + 0.313455i
\(794\) −8.77298 10.6047i −0.311341 0.376347i
\(795\) 21.0528 6.18507i 0.746665 0.219362i
\(796\) −8.74558 13.7808i −0.309979 0.488449i
\(797\) −5.42215 + 6.55426i −0.192062 + 0.232164i −0.857750 0.514067i \(-0.828138\pi\)
0.665688 + 0.746230i \(0.268138\pi\)
\(798\) −7.44080 15.8125i −0.263401 0.559756i
\(799\) −16.6801 12.1188i −0.590099 0.428732i
\(800\) −4.53685 2.10167i −0.160402 0.0743052i
\(801\) −8.85507 + 6.43359i −0.312879 + 0.227320i
\(802\) −3.26626 1.79564i −0.115336 0.0634063i
\(803\) −2.23165 + 0.572991i −0.0787534 + 0.0202204i
\(804\) 9.26157 11.1953i 0.326630 0.394828i
\(805\) −22.0273 + 13.1164i −0.776359 + 0.462292i
\(806\) 10.8222 4.28482i 0.381197 0.150926i
\(807\) −10.6184 −0.373786
\(808\) 0.892830 0.353496i 0.0314096 0.0124360i
\(809\) 33.2220 18.2639i 1.16802 0.642125i 0.224838 0.974396i \(-0.427815\pi\)
0.943184 + 0.332271i \(0.107815\pi\)
\(810\) −1.36519 + 1.77095i −0.0479678 + 0.0622249i
\(811\) 3.93858 20.6468i 0.138302 0.725006i −0.843800 0.536658i \(-0.819687\pi\)
0.982102 0.188348i \(-0.0603133\pi\)
\(812\) −10.7283 10.0745i −0.376488 0.353546i
\(813\) 3.74143 + 3.51344i 0.131218 + 0.123222i
\(814\) −0.0486213 + 0.254882i −0.00170418 + 0.00893361i
\(815\) −48.9554 17.4590i −1.71483 0.611562i
\(816\) 2.83200 1.55691i 0.0991399 0.0545026i
\(817\) 33.2097 13.1487i 1.16186 0.460014i
\(818\) 17.5704 0.614334
\(819\) −6.89404 + 2.72954i −0.240897 + 0.0953780i
\(820\) −7.06564 + 16.4633i −0.246743 + 0.574923i
\(821\) −13.3316 + 16.1152i −0.465278 + 0.562424i −0.950002 0.312243i \(-0.898920\pi\)
0.484725 + 0.874667i \(0.338920\pi\)
\(822\) −13.4873 + 3.46294i −0.470422 + 0.120784i
\(823\) −20.1369 11.0703i −0.701927 0.385888i 0.0904652 0.995900i \(-0.471165\pi\)
−0.792392 + 0.610012i \(0.791165\pi\)
\(824\) 5.44580 3.95661i 0.189713 0.137835i
\(825\) 1.81653 + 6.90244i 0.0632436 + 0.240312i
\(826\) 48.6066 + 35.3147i 1.69124 + 1.22876i
\(827\) 16.4917 + 35.0466i 0.573472 + 1.21869i 0.955624 + 0.294591i \(0.0951833\pi\)
−0.382151 + 0.924100i \(0.624817\pi\)
\(828\) 1.51794 1.83488i 0.0527522 0.0637664i
\(829\) −11.9440 18.8208i −0.414833 0.653673i 0.571087 0.820890i \(-0.306522\pi\)
−0.985920 + 0.167217i \(0.946522\pi\)
\(830\) 13.2053 + 4.70943i 0.458363 + 0.163467i
\(831\) 16.1919 + 19.5727i 0.561692 + 0.678969i
\(832\) 1.24596 + 0.905241i 0.0431958 + 0.0313836i
\(833\) 28.0169 44.1476i 0.970729 1.52962i
\(834\) 1.95307 + 10.2384i 0.0676294 + 0.354526i
\(835\) 10.4437 + 20.3455i 0.361418 + 0.704084i
\(836\) 5.14069 0.649420i 0.177794 0.0224606i
\(837\) 1.41618 + 7.42388i 0.0489504 + 0.256607i
\(838\) −20.4248 2.58025i −0.705563 0.0891334i
\(839\) 32.8465 + 18.0575i 1.13399 + 0.623414i 0.934315 0.356449i \(-0.116013\pi\)
0.199671 + 0.979863i \(0.436013\pi\)
\(840\) 9.86721 4.30517i 0.340451 0.148543i
\(841\) −14.3285 13.4553i −0.494085 0.463977i
\(842\) −4.33892 1.11405i −0.149529 0.0383925i
\(843\) −4.49496 + 3.26578i −0.154815 + 0.112479i
\(844\) −0.885507 14.0747i −0.0304804 0.484472i
\(845\) −23.4614 + 3.78822i −0.807095 + 0.130319i
\(846\) 5.93174 + 2.34854i 0.203937 + 0.0807445i
\(847\) −40.1186 15.8841i −1.37849 0.545784i
\(848\) 9.73562 1.22990i 0.334323 0.0422348i
\(849\) −6.11640 18.8244i −0.209914 0.646050i
\(850\) −3.92438 + 15.6749i −0.134605 + 0.537646i
\(851\) −0.133763 + 0.411680i −0.00458534 + 0.0141122i
\(852\) 1.63918 8.59287i 0.0561573 0.294387i
\(853\) −0.739088 + 11.7475i −0.0253059 + 0.402226i 0.964901 + 0.262615i \(0.0845850\pi\)
−0.990207 + 0.139610i \(0.955415\pi\)
\(854\) 45.4709 11.6750i 1.55598 0.399509i
\(855\) −8.11172 + 0.279324i −0.277415 + 0.00955267i
\(856\) −1.08343 + 1.70721i −0.0370308 + 0.0583511i
\(857\) 1.39143 + 4.28238i 0.0475303 + 0.146283i 0.972005 0.234960i \(-0.0754960\pi\)
−0.924475 + 0.381243i \(0.875496\pi\)
\(858\) −0.138043 2.19413i −0.00471270 0.0749063i
\(859\) −11.4563 1.44726i −0.390883 0.0493800i −0.0725643 0.997364i \(-0.523118\pi\)
−0.318319 + 0.947984i \(0.603118\pi\)
\(860\) 7.51552 + 20.6799i 0.256277 + 0.705180i
\(861\) −16.4239 34.9026i −0.559726 1.18948i
\(862\) −17.0533 + 36.2400i −0.580836 + 1.23434i
\(863\) −11.1219 + 6.11431i −0.378593 + 0.208133i −0.659676 0.751550i \(-0.729306\pi\)
0.281083 + 0.959684i \(0.409306\pi\)
\(864\) −0.728969 + 0.684547i −0.0248000 + 0.0232888i
\(865\) −25.3646 2.32078i −0.862422 0.0789088i
\(866\) −6.87567 + 14.6115i −0.233645 + 0.496521i
\(867\) 4.17883 + 5.05134i 0.141921 + 0.171553i
\(868\) 11.2441 34.6058i 0.381650 1.17460i
\(869\) 14.1682 + 3.63776i 0.480622 + 0.123403i
\(870\) −6.26492 + 2.73345i −0.212401 + 0.0926727i
\(871\) 1.40506 22.3328i 0.0476087 0.756719i
\(872\) −0.350363 0.552084i −0.0118648 0.0186959i
\(873\) 4.49025 4.21662i 0.151972 0.142711i
\(874\) 8.64395 0.292386
\(875\) −17.7761 + 50.8076i −0.600943 + 1.71761i
\(876\) 1.61405 0.0545336
\(877\) −10.7175 + 10.0644i −0.361905 + 0.339851i −0.844074 0.536227i \(-0.819849\pi\)
0.482169 + 0.876078i \(0.339849\pi\)
\(878\) −18.2089 28.6926i −0.614521 0.968330i
\(879\) 0.754817 11.9975i 0.0254593 0.404665i
\(880\) 0.309939 + 3.17689i 0.0104481 + 0.107093i
\(881\) −23.0970 5.93030i −0.778158 0.199797i −0.161336 0.986900i \(-0.551580\pi\)
−0.616822 + 0.787103i \(0.711580\pi\)
\(882\) −4.99967 + 15.3874i −0.168348 + 0.518120i
\(883\) −8.60633 10.4033i −0.289626 0.350098i 0.605553 0.795805i \(-0.292952\pi\)
−0.895179 + 0.445707i \(0.852952\pi\)
\(884\) 2.11918 4.50348i 0.0712757 0.151468i
\(885\) 23.9757 14.2766i 0.805934 0.479903i
\(886\) 23.4218 21.9945i 0.786870 0.738920i
\(887\) 7.87579 4.32975i 0.264443 0.145379i −0.344017 0.938964i \(-0.611788\pi\)
0.608460 + 0.793585i \(0.291788\pi\)
\(888\) 0.0773947 0.164472i 0.00259719 0.00551932i
\(889\) −37.9253 80.5954i −1.27197 2.70308i
\(890\) 6.75760 23.5234i 0.226515 0.788507i
\(891\) 1.41624 + 0.178912i 0.0474457 + 0.00599379i
\(892\) 0.369897 + 5.87934i 0.0123851 + 0.196855i
\(893\) 7.15601 + 22.0239i 0.239467 + 0.737003i
\(894\) 2.43569 3.83803i 0.0814615 0.128363i
\(895\) −8.48759 23.3547i −0.283709 0.780662i
\(896\) 4.66323 1.19731i 0.155788 0.0399994i
\(897\) 0.230286 3.66029i 0.00768901 0.122213i
\(898\) −4.94562 + 25.9258i −0.165037 + 0.865156i
\(899\) −7.13913 + 21.9720i −0.238103 + 0.732807i
\(900\) −0.0300507 4.99991i −0.00100169 0.166664i
\(901\) −9.79990 30.1610i −0.326482 1.00481i
\(902\) 11.3469 1.43345i 0.377812 0.0477287i
\(903\) −44.0484 17.4400i −1.46584 0.580367i
\(904\) 0.783847 + 0.310347i 0.0260704 + 0.0103220i
\(905\) 7.59353 48.8942i 0.252418 1.62530i
\(906\) −1.20886 19.2143i −0.0401617 0.638353i
\(907\) 42.2938 30.7282i 1.40434 1.02031i 0.410227 0.911983i \(-0.365449\pi\)
0.994115 0.108331i \(-0.0345506\pi\)
\(908\) −25.0539 6.43274i −0.831442 0.213478i
\(909\) 0.700001 + 0.657345i 0.0232176 + 0.0218028i
\(910\) 8.39690 14.2963i 0.278355 0.473917i
\(911\) 24.2572 + 13.3355i 0.803676 + 0.441824i 0.829955 0.557830i \(-0.188366\pi\)
−0.0262795 + 0.999655i \(0.508366\pi\)
\(912\) −3.60120 0.454937i −0.119248 0.0150645i
\(913\) −1.67711 8.79172i −0.0555043 0.290964i
\(914\) 1.70229 0.215050i 0.0563069 0.00711322i
\(915\) 3.34614 21.5455i 0.110620 0.712273i
\(916\) 1.44953 + 7.59870i 0.0478938 + 0.251068i
\(917\) −8.24317 + 12.9892i −0.272213 + 0.428940i
\(918\) 2.61454 + 1.89957i 0.0862926 + 0.0626952i
\(919\) 28.6328 + 34.6112i 0.944510 + 1.14172i 0.989760 + 0.142741i \(0.0455917\pi\)
−0.0452497 + 0.998976i \(0.514408\pi\)
\(920\) −0.151265 + 5.32276i −0.00498705 + 0.175486i
\(921\) 11.9452 + 18.8226i 0.393606 + 0.620224i
\(922\) −20.7429 + 25.0739i −0.683131 + 0.825763i
\(923\) −5.73627 12.1902i −0.188812 0.401245i
\(924\) −5.56009 4.03964i −0.182913 0.132894i
\(925\) 0.339646 + 0.843010i 0.0111675 + 0.0277180i
\(926\) 25.8619 18.7897i 0.849873 0.617469i
\(927\) 5.89875 + 3.24287i 0.193741 + 0.106510i
\(928\) −2.96079 + 0.760202i −0.0971927 + 0.0249548i
\(929\) 31.1533 37.6578i 1.02211 1.23551i 0.0505456 0.998722i \(-0.483904\pi\)
0.971560 0.236792i \(-0.0760960\pi\)
\(930\) −12.7101 11.1378i −0.416782 0.365222i
\(931\) −54.6037 + 21.6191i −1.78956 + 0.708539i
\(932\) 17.5093 0.573538
\(933\) 32.6647 12.9329i 1.06939 0.423403i
\(934\) 6.77392 3.72400i 0.221650 0.121853i
\(935\) 9.89736 2.90773i 0.323678 0.0950929i
\(936\) −0.288584 + 1.51281i −0.00943265 + 0.0494477i
\(937\) 4.34955 + 4.08450i 0.142094 + 0.133435i 0.752335 0.658781i \(-0.228928\pi\)
−0.610241 + 0.792216i \(0.708928\pi\)
\(938\) −50.9935 47.8861i −1.66500 1.56354i
\(939\) −2.60713 + 13.6671i −0.0850806 + 0.446008i
\(940\) −13.6871 + 4.02111i −0.446424 + 0.131154i
\(941\) −0.666546 + 0.366437i −0.0217288 + 0.0119455i −0.492581 0.870267i \(-0.663946\pi\)
0.470852 + 0.882212i \(0.343946\pi\)
\(942\) 3.45094 1.36633i 0.112438 0.0445173i
\(943\) 19.0796 0.621318
\(944\) 11.6029 4.59391i 0.377642 0.149519i
\(945\) 8.09669 + 7.09506i 0.263385 + 0.230802i
\(946\) 8.95374 10.8232i 0.291111 0.351893i
\(947\) 43.7080 11.2223i 1.42032 0.364676i 0.541046 0.840993i \(-0.318028\pi\)
0.879274 + 0.476317i \(0.158028\pi\)
\(948\) −8.97963 4.93659i −0.291645 0.160333i
\(949\) 2.01103 1.46110i 0.0652809 0.0474293i
\(950\) 13.9143 11.6525i 0.451441 0.378057i
\(951\) −6.61260 4.80434i −0.214428 0.155791i
\(952\) −6.62478 14.0784i −0.214710 0.456283i
\(953\) 1.70975 2.06673i 0.0553841 0.0669479i −0.742094 0.670296i \(-0.766167\pi\)
0.797478 + 0.603348i \(0.206167\pi\)
\(954\) 5.25807 + 8.28539i 0.170236 + 0.268249i
\(955\) 0.134534 4.73402i 0.00435341 0.153189i
\(956\) −5.35202 6.46948i −0.173097 0.209238i
\(957\) 3.53023 + 2.56486i 0.114116 + 0.0829101i
\(958\) −4.49405 + 7.08149i −0.145196 + 0.228793i
\(959\) 12.5621 + 65.8529i 0.405652 + 2.12650i
\(960\) 0.343160 2.20958i 0.0110754 0.0713139i
\(961\) −25.9136 + 3.27365i −0.835922 + 0.105602i
\(962\) −0.0524564 0.274986i −0.00169126 0.00886590i
\(963\) −2.00603 0.253420i −0.0646433 0.00816635i
\(964\) 16.1730 + 8.89116i 0.520896 + 0.286365i
\(965\) −3.93496 + 6.69952i −0.126671 + 0.215665i
\(966\) −8.35768 7.84839i −0.268904 0.252518i
\(967\) 43.3215 + 11.1231i 1.39313 + 0.357694i 0.869365 0.494171i \(-0.164528\pi\)
0.523762 + 0.851865i \(0.324528\pi\)
\(968\) −7.25062 + 5.26789i −0.233044 + 0.169316i
\(969\) 0.736574 + 11.7075i 0.0236622 + 0.376099i
\(970\) −2.11377 + 13.6104i −0.0678691 + 0.437004i
\(971\) −4.28996 1.69852i −0.137671 0.0545080i 0.298279 0.954479i \(-0.403588\pi\)
−0.435950 + 0.899971i \(0.643588\pi\)
\(972\) −0.929776 0.368125i −0.0298226 0.0118076i
\(973\) 49.7856 6.28938i 1.59605 0.201628i
\(974\) −2.17704 6.70023i −0.0697567 0.214689i
\(975\) −4.56357 6.20247i −0.146151 0.198638i
\(976\) 3.01321 9.27371i 0.0964506 0.296844i
\(977\) 9.91485 51.9755i 0.317204 1.66284i −0.364491 0.931207i \(-0.618757\pi\)
0.681695 0.731636i \(-0.261243\pi\)
\(978\) 1.45951 23.1982i 0.0466700 0.741798i
\(979\) −15.1337 + 3.88568i −0.483676 + 0.124187i
\(980\) −12.3571 34.0021i −0.394732 1.08616i
\(981\) 0.350363 0.552084i 0.0111862 0.0176267i
\(982\) 9.53549 + 29.3472i 0.304290 + 0.936507i
\(983\) 0.0706548 + 1.12303i 0.00225354 + 0.0358189i 0.998993 0.0448709i \(-0.0142877\pi\)
−0.996739 + 0.0806899i \(0.974288\pi\)
\(984\) −7.94885 1.00417i −0.253400 0.0320119i
\(985\) 1.63102 5.67764i 0.0519687 0.180905i
\(986\) 4.20622 + 8.93868i 0.133953 + 0.284666i
\(987\) 13.0779 27.7919i 0.416274 0.884627i
\(988\) −4.89877 + 2.69312i −0.155851 + 0.0856795i
\(989\) 17.0820 16.0410i 0.543175 0.510075i
\(990\) −2.74257 + 1.63310i −0.0871646 + 0.0519032i
\(991\) 15.8990 33.7871i 0.505049 1.07328i −0.475986 0.879453i \(-0.657909\pi\)
0.981035 0.193831i \(-0.0620913\pi\)
\(992\) −4.81749 5.82334i −0.152955 0.184891i
\(993\) 3.51738 10.8254i 0.111621 0.343533i
\(994\) −40.7931 10.4739i −1.29388 0.332211i
\(995\) 3.54378 + 36.3239i 0.112345 + 1.15154i
\(996\) −0.393691 + 6.25754i −0.0124746 + 0.198278i
\(997\) 1.45985 + 2.30036i 0.0462341 + 0.0728532i 0.866659 0.498901i \(-0.166263\pi\)
−0.820425 + 0.571755i \(0.806263\pi\)
\(998\) 5.57584 5.23606i 0.176500 0.165745i
\(999\) 0.181772 0.00575100
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 750.2.m.d.511.4 yes 140
125.91 even 25 inner 750.2.m.d.91.4 140
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
750.2.m.d.91.4 140 125.91 even 25 inner
750.2.m.d.511.4 yes 140 1.1 even 1 trivial