Properties

Label 242.2.g.a.25.2
Level $242$
Weight $2$
Character 242.25
Analytic conductor $1.932$
Analytic rank $0$
Dimension $200$
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] = [242,2,Mod(5,242)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(242, base_ring=CyclotomicField(110))
 
chi = DirichletCharacter(H, H._module([74]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("242.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 242 = 2 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 242.g (of order \(55\), degree \(40\), 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: \(1.93237972891\)
Analytic rank: \(0\)
Dimension: \(200\)
Relative dimension: \(5\) over \(\Q(\zeta_{55})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{55}]$

Embedding invariants

Embedding label 25.2
Character \(\chi\) \(=\) 242.25
Dual form 242.2.g.a.213.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.466667 + 0.884433i) q^{2} +(-0.632586 - 1.94690i) q^{3} +(-0.564443 + 0.825472i) q^{4} +(0.184594 - 0.911006i) q^{5} +(1.42669 - 1.46803i) q^{6} +(-0.597482 - 2.27306i) q^{7} +(-0.993482 - 0.113991i) q^{8} +(-0.963202 + 0.699807i) q^{9} +O(q^{10})\) \(q+(0.466667 + 0.884433i) q^{2} +(-0.632586 - 1.94690i) q^{3} +(-0.564443 + 0.825472i) q^{4} +(0.184594 - 0.911006i) q^{5} +(1.42669 - 1.46803i) q^{6} +(-0.597482 - 2.27306i) q^{7} +(-0.993482 - 0.113991i) q^{8} +(-0.963202 + 0.699807i) q^{9} +(0.891867 - 0.261876i) q^{10} +(-1.46495 - 2.97555i) q^{11} +(1.96417 + 0.576732i) q^{12} +(-1.21639 + 0.434006i) q^{13} +(1.73154 - 1.58919i) q^{14} +(-1.89041 + 0.216904i) q^{15} +(-0.362808 - 0.931864i) q^{16} +(3.49512 - 0.812755i) q^{17} +(-1.06843 - 0.525310i) q^{18} +(1.29308 - 2.14434i) q^{19} +(0.647817 + 0.666588i) q^{20} +(-4.04746 + 2.60114i) q^{21} +(1.94803 - 2.68425i) q^{22} +(3.31288 + 2.12906i) q^{23} +(0.406533 + 2.00632i) q^{24} +(3.80976 + 1.61002i) q^{25} +(-0.951498 - 0.873277i) q^{26} +(-2.99663 - 2.17718i) q^{27} +(2.21359 + 0.789807i) q^{28} +(-1.43922 + 0.608220i) q^{29} +(-1.07403 - 1.57072i) q^{30} +(-0.506527 + 0.656876i) q^{31} +(0.654861 - 0.755750i) q^{32} +(-4.86639 + 4.73441i) q^{33} +(2.34989 + 2.71191i) q^{34} +(-2.18106 + 0.124718i) q^{35} +(-0.0339984 - 1.19010i) q^{36} +(-0.222130 + 7.77556i) q^{37} +(2.49996 + 0.142953i) q^{38} +(1.61444 + 2.09364i) q^{39} +(-0.287237 + 0.884026i) q^{40} +(-0.868339 + 0.150272i) q^{41} +(-4.18935 - 2.36584i) q^{42} +(-3.80760 + 8.33749i) q^{43} +(3.28312 + 0.470252i) q^{44} +(0.459727 + 1.00666i) q^{45} +(-0.336997 + 3.92358i) q^{46} +(5.75423 - 2.82917i) q^{47} +(-1.58474 + 1.29583i) q^{48} +(1.28542 - 0.725908i) q^{49} +(0.353938 + 4.12082i) q^{50} +(-3.79332 - 6.29051i) q^{51} +(0.328322 - 1.24907i) q^{52} +(-1.95404 + 5.01892i) q^{53} +(0.527140 - 3.66634i) q^{54} +(-2.98117 + 0.785313i) q^{55} +(0.334478 + 2.32635i) q^{56} +(-4.99280 - 1.16103i) q^{57} +(-1.20957 - 0.989059i) q^{58} +(13.2186 + 2.28758i) q^{59} +(0.887980 - 1.68291i) q^{60} +(-0.524228 + 0.993523i) q^{61} +(-0.817342 - 0.141447i) q^{62} +(2.16620 + 1.77129i) q^{63} +(0.974012 + 0.226497i) q^{64} +(0.170845 + 1.18825i) q^{65} +(-6.45825 - 2.09460i) q^{66} +(-0.141847 + 0.986566i) q^{67} +(-1.30189 + 3.34388i) q^{68} +(2.04938 - 7.79666i) q^{69} +(-1.12813 - 1.87080i) q^{70} +(-1.32816 - 15.4635i) q^{71} +(1.03670 - 0.585449i) q^{72} +(-1.46203 + 1.19550i) q^{73} +(-6.98062 + 3.43214i) q^{74} +(0.724543 - 8.43570i) q^{75} +(1.04022 + 2.27776i) q^{76} +(-5.88832 + 5.10776i) q^{77} +(-1.09828 + 2.40489i) q^{78} +(-3.36219 - 1.89871i) q^{79} +(-0.915906 + 0.158504i) q^{80} +(-3.44686 + 10.6083i) q^{81} +(-0.538131 - 0.697861i) q^{82} +(-8.36019 - 0.478053i) q^{83} +(0.137389 - 4.80926i) q^{84} +(-0.0952477 - 3.33410i) q^{85} +(-9.15083 + 0.523263i) q^{86} +(2.09458 + 2.41727i) q^{87} +(1.11622 + 3.12315i) q^{88} +(7.99400 - 9.22556i) q^{89} +(-0.675786 + 0.876375i) q^{90} +(1.71329 + 2.50561i) q^{91} +(-3.62741 + 1.53296i) q^{92} +(1.59929 + 0.570627i) q^{93} +(5.18752 + 3.76895i) q^{94} +(-1.71481 - 1.57384i) q^{95} +(-1.88562 - 0.796871i) q^{96} +(-0.381656 - 1.88355i) q^{97} +(1.24188 + 0.798107i) q^{98} +(3.49336 + 1.84087i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 200 q - 5 q^{2} + 10 q^{3} + 5 q^{4} - q^{5} + q^{6} - 5 q^{8} - 40 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 200 q - 5 q^{2} + 10 q^{3} + 5 q^{4} - q^{5} + q^{6} - 5 q^{8} - 40 q^{9} - 4 q^{10} - 11 q^{11} + 4 q^{12} - 32 q^{13} - 11 q^{14} - 24 q^{15} + 5 q^{16} + 2 q^{17} - 4 q^{18} + q^{19} - q^{20} - 8 q^{21} - 22 q^{22} + 41 q^{23} + q^{24} + 2 q^{25} - q^{26} - 59 q^{27} + 3 q^{29} + 13 q^{30} + 18 q^{31} + 20 q^{32} + 8 q^{34} + 4 q^{35} + 4 q^{36} + 17 q^{37} - 34 q^{38} - 172 q^{39} - 10 q^{40} + 6 q^{41} + 42 q^{42} - 20 q^{43} + 11 q^{44} + 64 q^{45} - 9 q^{46} + 7 q^{47} - q^{48} - 43 q^{49} - 2 q^{50} - 135 q^{51} + q^{52} - 80 q^{53} - 16 q^{54} - 22 q^{55} + 11 q^{56} + 41 q^{57} - 157 q^{58} + 30 q^{59} + 31 q^{60} + 40 q^{61} + 4 q^{62} - 45 q^{63} + 5 q^{64} - 7 q^{65} + 55 q^{66} - 19 q^{67} + 2 q^{68} - 8 q^{69} - 70 q^{70} + 5 q^{71} - 4 q^{72} + 34 q^{73} + 5 q^{74} - 11 q^{75} - 15 q^{76} - 198 q^{77} + 16 q^{78} - 47 q^{79} - q^{80} - 18 q^{81} - 28 q^{82} + 9 q^{83} - 174 q^{84} - 100 q^{85} - 5 q^{86} + 37 q^{87} - 11 q^{88} - 67 q^{89} - 28 q^{90} - 166 q^{91} - 46 q^{92} - 47 q^{93} - 18 q^{94} + 129 q^{95} + q^{96} - 3 q^{97} - 40 q^{98} + 22 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/242\mathbb{Z}\right)^\times\).

\(n\) \(123\)
\(\chi(n)\) \(e\left(\frac{19}{55}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.466667 + 0.884433i 0.329984 + 0.625389i
\(3\) −0.632586 1.94690i −0.365224 1.12404i −0.949841 0.312734i \(-0.898755\pi\)
0.584617 0.811309i \(-0.301245\pi\)
\(4\) −0.564443 + 0.825472i −0.282222 + 0.412736i
\(5\) 0.184594 0.911006i 0.0825528 0.407414i −0.917403 0.397961i \(-0.869718\pi\)
0.999955 0.00945356i \(-0.00300921\pi\)
\(6\) 1.42669 1.46803i 0.582446 0.599323i
\(7\) −0.597482 2.27306i −0.225827 0.859135i −0.979427 0.201801i \(-0.935321\pi\)
0.753600 0.657334i \(-0.228316\pi\)
\(8\) −0.993482 0.113991i −0.351249 0.0403020i
\(9\) −0.963202 + 0.699807i −0.321067 + 0.233269i
\(10\) 0.891867 0.261876i 0.282033 0.0828124i
\(11\) −1.46495 2.97555i −0.441700 0.897163i
\(12\) 1.96417 + 0.576732i 0.567007 + 0.166488i
\(13\) −1.21639 + 0.434006i −0.337365 + 0.120372i −0.499299 0.866430i \(-0.666409\pi\)
0.161933 + 0.986802i \(0.448227\pi\)
\(14\) 1.73154 1.58919i 0.462774 0.424730i
\(15\) −1.89041 + 0.216904i −0.488101 + 0.0560044i
\(16\) −0.362808 0.931864i −0.0907019 0.232966i
\(17\) 3.49512 0.812755i 0.847691 0.197122i 0.219918 0.975518i \(-0.429421\pi\)
0.627773 + 0.778396i \(0.283967\pi\)
\(18\) −1.06843 0.525310i −0.251831 0.123817i
\(19\) 1.29308 2.14434i 0.296654 0.491945i −0.671936 0.740609i \(-0.734537\pi\)
0.968590 + 0.248664i \(0.0799916\pi\)
\(20\) 0.647817 + 0.666588i 0.144856 + 0.149054i
\(21\) −4.04746 + 2.60114i −0.883227 + 0.567616i
\(22\) 1.94803 2.68425i 0.415321 0.572283i
\(23\) 3.31288 + 2.12906i 0.690783 + 0.443939i 0.838364 0.545111i \(-0.183512\pi\)
−0.147581 + 0.989050i \(0.547149\pi\)
\(24\) 0.406533 + 2.00632i 0.0829832 + 0.409538i
\(25\) 3.80976 + 1.61002i 0.761952 + 0.322004i
\(26\) −0.951498 0.873277i −0.186604 0.171264i
\(27\) −2.99663 2.17718i −0.576702 0.418999i
\(28\) 2.21359 + 0.789807i 0.418329 + 0.149260i
\(29\) −1.43922 + 0.608220i −0.267257 + 0.112944i −0.518780 0.854907i \(-0.673614\pi\)
0.251524 + 0.967851i \(0.419068\pi\)
\(30\) −1.07403 1.57072i −0.196090 0.286772i
\(31\) −0.506527 + 0.656876i −0.0909749 + 0.117978i −0.835190 0.549962i \(-0.814642\pi\)
0.744215 + 0.667941i \(0.232824\pi\)
\(32\) 0.654861 0.755750i 0.115764 0.133599i
\(33\) −4.86639 + 4.73441i −0.847130 + 0.824155i
\(34\) 2.34989 + 2.71191i 0.403002 + 0.465089i
\(35\) −2.18106 + 0.124718i −0.368666 + 0.0210811i
\(36\) −0.0339984 1.19010i −0.00566639 0.198350i
\(37\) −0.222130 + 7.77556i −0.0365179 + 1.27829i 0.750295 + 0.661103i \(0.229911\pi\)
−0.786813 + 0.617191i \(0.788271\pi\)
\(38\) 2.49996 + 0.142953i 0.405548 + 0.0231900i
\(39\) 1.61444 + 2.09364i 0.258517 + 0.335251i
\(40\) −0.287237 + 0.884026i −0.0454162 + 0.139777i
\(41\) −0.868339 + 0.150272i −0.135612 + 0.0234685i −0.237924 0.971284i \(-0.576467\pi\)
0.102312 + 0.994752i \(0.467376\pi\)
\(42\) −4.18935 2.36584i −0.646431 0.365056i
\(43\) −3.80760 + 8.33749i −0.580654 + 1.27145i 0.360274 + 0.932847i \(0.382683\pi\)
−0.940928 + 0.338608i \(0.890044\pi\)
\(44\) 3.28312 + 0.470252i 0.494949 + 0.0708932i
\(45\) 0.459727 + 1.00666i 0.0685321 + 0.150064i
\(46\) −0.336997 + 3.92358i −0.0496875 + 0.578501i
\(47\) 5.75423 2.82917i 0.839341 0.412676i 0.0296696 0.999560i \(-0.490554\pi\)
0.809671 + 0.586884i \(0.199645\pi\)
\(48\) −1.58474 + 1.29583i −0.228737 + 0.187038i
\(49\) 1.28542 0.725908i 0.183631 0.103701i
\(50\) 0.353938 + 4.12082i 0.0500543 + 0.582772i
\(51\) −3.79332 6.29051i −0.531171 0.880847i
\(52\) 0.328322 1.24907i 0.0455301 0.173214i
\(53\) −1.95404 + 5.01892i −0.268408 + 0.689401i 0.731563 + 0.681774i \(0.238791\pi\)
−0.999971 + 0.00762691i \(0.997572\pi\)
\(54\) 0.527140 3.66634i 0.0717347 0.498926i
\(55\) −2.98117 + 0.785313i −0.401980 + 0.105892i
\(56\) 0.334478 + 2.32635i 0.0446966 + 0.310871i
\(57\) −4.99280 1.16103i −0.661312 0.153782i
\(58\) −1.20957 0.989059i −0.158824 0.129870i
\(59\) 13.2186 + 2.28758i 1.72092 + 0.297817i 0.943551 0.331226i \(-0.107462\pi\)
0.777370 + 0.629044i \(0.216553\pi\)
\(60\) 0.887980 1.68291i 0.114638 0.217263i
\(61\) −0.524228 + 0.993523i −0.0671205 + 0.127208i −0.915703 0.401855i \(-0.868365\pi\)
0.848583 + 0.529063i \(0.177456\pi\)
\(62\) −0.817342 0.141447i −0.103803 0.0179637i
\(63\) 2.16620 + 1.77129i 0.272915 + 0.223162i
\(64\) 0.974012 + 0.226497i 0.121751 + 0.0283121i
\(65\) 0.170845 + 1.18825i 0.0211907 + 0.147384i
\(66\) −6.45825 2.09460i −0.794956 0.257828i
\(67\) −0.141847 + 0.986566i −0.0173293 + 0.120528i −0.996650 0.0817867i \(-0.973937\pi\)
0.979321 + 0.202315i \(0.0648465\pi\)
\(68\) −1.30189 + 3.34388i −0.157877 + 0.405505i
\(69\) 2.04938 7.79666i 0.246717 0.938607i
\(70\) −1.12813 1.87080i −0.134838 0.223603i
\(71\) −1.32816 15.4635i −0.157623 1.83518i −0.467025 0.884244i \(-0.654674\pi\)
0.309401 0.950932i \(-0.399871\pi\)
\(72\) 1.03670 0.585449i 0.122176 0.0689958i
\(73\) −1.46203 + 1.19550i −0.171118 + 0.139922i −0.714693 0.699438i \(-0.753434\pi\)
0.543576 + 0.839360i \(0.317070\pi\)
\(74\) −6.98062 + 3.43214i −0.811481 + 0.398978i
\(75\) 0.724543 8.43570i 0.0836630 0.974071i
\(76\) 1.04022 + 2.27776i 0.119321 + 0.261277i
\(77\) −5.88832 + 5.10776i −0.671036 + 0.582084i
\(78\) −1.09828 + 2.40489i −0.124356 + 0.272301i
\(79\) −3.36219 1.89871i −0.378276 0.213622i 0.290854 0.956767i \(-0.406060\pi\)
−0.669130 + 0.743145i \(0.733333\pi\)
\(80\) −0.915906 + 0.158504i −0.102401 + 0.0177213i
\(81\) −3.44686 + 10.6083i −0.382984 + 1.17870i
\(82\) −0.538131 0.697861i −0.0594266 0.0770658i
\(83\) −8.36019 0.478053i −0.917650 0.0524731i −0.408122 0.912927i \(-0.633816\pi\)
−0.509528 + 0.860454i \(0.670180\pi\)
\(84\) 0.137389 4.80926i 0.0149904 0.524733i
\(85\) −0.0952477 3.33410i −0.0103311 0.361634i
\(86\) −9.15083 + 0.523263i −0.986759 + 0.0564249i
\(87\) 2.09458 + 2.41727i 0.224562 + 0.259158i
\(88\) 1.11622 + 3.12315i 0.118989 + 0.332929i
\(89\) 7.99400 9.22556i 0.847362 0.977908i −0.152584 0.988290i \(-0.548760\pi\)
0.999946 + 0.0103827i \(0.00330499\pi\)
\(90\) −0.675786 + 0.876375i −0.0712341 + 0.0923780i
\(91\) 1.71329 + 2.50561i 0.179602 + 0.262659i
\(92\) −3.62741 + 1.53296i −0.378184 + 0.159822i
\(93\) 1.59929 + 0.570627i 0.165839 + 0.0591712i
\(94\) 5.18752 + 3.76895i 0.535052 + 0.388738i
\(95\) −1.71481 1.57384i −0.175936 0.161472i
\(96\) −1.88562 0.796871i −0.192451 0.0813304i
\(97\) −0.381656 1.88355i −0.0387513 0.191245i 0.956031 0.293266i \(-0.0947420\pi\)
−0.994782 + 0.102020i \(0.967469\pi\)
\(98\) 1.24188 + 0.798107i 0.125449 + 0.0806210i
\(99\) 3.49336 + 1.84087i 0.351096 + 0.185015i
\(100\) −3.47942 + 2.23609i −0.347942 + 0.223609i
\(101\) −3.49995 3.60136i −0.348258 0.358349i 0.520259 0.854009i \(-0.325835\pi\)
−0.868517 + 0.495660i \(0.834926\pi\)
\(102\) 3.79332 6.29051i 0.375594 0.622853i
\(103\) 10.5620 + 5.19300i 1.04071 + 0.511681i 0.879828 0.475293i \(-0.157658\pi\)
0.160879 + 0.986974i \(0.448567\pi\)
\(104\) 1.25793 0.292520i 0.123350 0.0286839i
\(105\) 1.62252 + 4.16741i 0.158342 + 0.406698i
\(106\) −5.35078 + 0.613945i −0.519714 + 0.0596316i
\(107\) 6.29033 5.77322i 0.608109 0.558118i −0.311850 0.950131i \(-0.600949\pi\)
0.919959 + 0.392014i \(0.128221\pi\)
\(108\) 3.48863 1.24474i 0.335694 0.119775i
\(109\) 9.34079 + 2.74270i 0.894685 + 0.262703i 0.696581 0.717478i \(-0.254703\pi\)
0.198104 + 0.980181i \(0.436522\pi\)
\(110\) −2.08577 2.27016i −0.198870 0.216451i
\(111\) 15.2787 4.48624i 1.45019 0.425815i
\(112\) −1.90141 + 1.38145i −0.179666 + 0.130535i
\(113\) 13.6622 + 1.56759i 1.28523 + 0.147466i 0.729549 0.683929i \(-0.239730\pi\)
0.555682 + 0.831395i \(0.312457\pi\)
\(114\) −1.30313 4.95761i −0.122049 0.464322i
\(115\) 2.55112 2.62504i 0.237893 0.244786i
\(116\) 0.310290 1.53134i 0.0288097 0.142182i
\(117\) 0.867907 1.26927i 0.0802380 0.117344i
\(118\) 4.14550 + 12.7585i 0.381624 + 1.17452i
\(119\) −3.93571 7.45900i −0.360786 0.683766i
\(120\) 1.90281 0.173702
\(121\) −6.70782 + 8.71809i −0.609802 + 0.792554i
\(122\) −1.12334 −0.101703
\(123\) 0.841864 + 1.59551i 0.0759083 + 0.143862i
\(124\) −0.256327 0.788893i −0.0230188 0.0708447i
\(125\) 4.79330 7.00998i 0.428726 0.626991i
\(126\) −0.555695 + 2.74246i −0.0495052 + 0.244318i
\(127\) −3.06311 + 3.15186i −0.271807 + 0.279682i −0.839268 0.543717i \(-0.817016\pi\)
0.567462 + 0.823400i \(0.307925\pi\)
\(128\) 0.254218 + 0.967147i 0.0224699 + 0.0854845i
\(129\) 18.6409 + 2.13884i 1.64124 + 0.188315i
\(130\) −0.971201 + 0.705619i −0.0851800 + 0.0618869i
\(131\) 10.0663 2.95572i 0.879494 0.258243i 0.189346 0.981910i \(-0.439363\pi\)
0.690149 + 0.723668i \(0.257545\pi\)
\(132\) −1.16132 6.68938i −0.101080 0.582235i
\(133\) −5.64680 1.65805i −0.489639 0.143771i
\(134\) −0.938747 + 0.334944i −0.0810954 + 0.0289348i
\(135\) −2.53658 + 2.32806i −0.218314 + 0.200367i
\(136\) −3.56498 + 0.409044i −0.305695 + 0.0350752i
\(137\) −4.40071 11.3031i −0.375978 0.965692i −0.985002 0.172541i \(-0.944802\pi\)
0.609024 0.793152i \(-0.291561\pi\)
\(138\) 7.85200 1.82590i 0.668407 0.155431i
\(139\) −5.34359 2.62727i −0.453238 0.222842i 0.200302 0.979734i \(-0.435808\pi\)
−0.653540 + 0.756892i \(0.726717\pi\)
\(140\) 1.12813 1.87080i 0.0953447 0.158111i
\(141\) −9.14815 9.41322i −0.770413 0.792736i
\(142\) 13.0566 8.39096i 1.09568 0.704154i
\(143\) 3.07336 + 2.98363i 0.257007 + 0.249503i
\(144\) 1.00158 + 0.643678i 0.0834652 + 0.0536398i
\(145\) 0.288421 + 1.42341i 0.0239520 + 0.118208i
\(146\) −1.73962 0.735168i −0.143972 0.0608429i
\(147\) −2.22641 2.04338i −0.183631 0.168535i
\(148\) −6.29312 4.57222i −0.517292 0.375834i
\(149\) −18.1278 6.46798i −1.48509 0.529878i −0.535815 0.844335i \(-0.679996\pi\)
−0.949272 + 0.314457i \(0.898177\pi\)
\(150\) 7.79893 3.29586i 0.636780 0.269105i
\(151\) 10.3505 + 15.1371i 0.842308 + 1.23184i 0.970744 + 0.240118i \(0.0771861\pi\)
−0.128436 + 0.991718i \(0.540996\pi\)
\(152\) −1.52909 + 1.98296i −0.124026 + 0.160839i
\(153\) −2.79773 + 3.22876i −0.226183 + 0.261030i
\(154\) −7.26536 2.82420i −0.585459 0.227580i
\(155\) 0.504916 + 0.582704i 0.0405558 + 0.0468039i
\(156\) −2.63950 + 0.150932i −0.211329 + 0.0120842i
\(157\) 0.460017 + 16.1027i 0.0367133 + 1.28513i 0.784054 + 0.620693i \(0.213149\pi\)
−0.747340 + 0.664441i \(0.768670\pi\)
\(158\) 0.110263 3.85970i 0.00877203 0.307061i
\(159\) 11.0074 + 0.629427i 0.872946 + 0.0499168i
\(160\) −0.567609 0.736089i −0.0448734 0.0581929i
\(161\) 2.86009 8.80244i 0.225406 0.693730i
\(162\) −10.9909 + 1.90205i −0.863526 + 0.149439i
\(163\) −13.8280 7.80902i −1.08309 0.611650i −0.156484 0.987681i \(-0.550016\pi\)
−0.926607 + 0.376031i \(0.877289\pi\)
\(164\) 0.366083 0.801610i 0.0285863 0.0625952i
\(165\) 3.41477 + 5.30725i 0.265840 + 0.413169i
\(166\) −3.47862 7.61712i −0.269993 0.591203i
\(167\) −1.45756 + 16.9700i −0.112789 + 1.31318i 0.692982 + 0.720954i \(0.256296\pi\)
−0.805772 + 0.592226i \(0.798249\pi\)
\(168\) 4.31758 2.12281i 0.333109 0.163778i
\(169\) −8.77260 + 7.17332i −0.674816 + 0.551794i
\(170\) 2.90434 1.64016i 0.222753 0.125794i
\(171\) 0.255123 + 2.97034i 0.0195097 + 0.227148i
\(172\) −4.73319 7.84911i −0.360902 0.598489i
\(173\) −2.34787 + 8.93221i −0.178505 + 0.679103i 0.816329 + 0.577587i \(0.196006\pi\)
−0.994834 + 0.101516i \(0.967631\pi\)
\(174\) −1.16044 + 2.98057i −0.0879729 + 0.225957i
\(175\) 1.38340 9.62176i 0.104575 0.727337i
\(176\) −2.24131 + 2.44469i −0.168945 + 0.184276i
\(177\) −3.90825 27.1825i −0.293762 2.04316i
\(178\) 11.8899 + 2.76488i 0.891188 + 0.207237i
\(179\) −13.5080 11.0455i −1.00964 0.825577i −0.0249122 0.999690i \(-0.507931\pi\)
−0.984726 + 0.174113i \(0.944294\pi\)
\(180\) −1.09046 0.188712i −0.0812782 0.0140657i
\(181\) −1.16848 + 2.21452i −0.0868526 + 0.164604i −0.924022 0.382340i \(-0.875118\pi\)
0.837169 + 0.546944i \(0.184209\pi\)
\(182\) −1.41651 + 2.68458i −0.104998 + 0.198994i
\(183\) 2.26591 + 0.392131i 0.167501 + 0.0289871i
\(184\) −3.04859 2.49282i −0.224745 0.183773i
\(185\) 7.04257 + 1.63768i 0.517780 + 0.120405i
\(186\) 0.241657 + 1.68076i 0.0177191 + 0.123239i
\(187\) −7.53858 9.20926i −0.551276 0.673448i
\(188\) −0.912541 + 6.34686i −0.0665539 + 0.462892i
\(189\) −3.15842 + 8.11235i −0.229742 + 0.590086i
\(190\) 0.591708 2.25109i 0.0429270 0.163311i
\(191\) −2.53898 4.21043i −0.183714 0.304656i 0.750835 0.660490i \(-0.229651\pi\)
−0.934549 + 0.355834i \(0.884197\pi\)
\(192\) −0.175180 2.03958i −0.0126425 0.147194i
\(193\) −14.1765 + 8.00582i −1.02044 + 0.576272i −0.908693 0.417465i \(-0.862919\pi\)
−0.111751 + 0.993736i \(0.535646\pi\)
\(194\) 1.48776 1.21654i 0.106815 0.0873424i
\(195\) 2.20533 1.08429i 0.157927 0.0776475i
\(196\) −0.126328 + 1.47081i −0.00902342 + 0.105058i
\(197\) −6.53963 14.3198i −0.465929 1.02024i −0.986096 0.166178i \(-0.946858\pi\)
0.520167 0.854065i \(-0.325870\pi\)
\(198\) 0.00210841 + 3.94872i 0.000149838 + 0.280623i
\(199\) −4.47649 + 9.80215i −0.317330 + 0.694856i −0.999334 0.0364926i \(-0.988381\pi\)
0.682004 + 0.731349i \(0.261109\pi\)
\(200\) −3.60140 2.03380i −0.254657 0.143812i
\(201\) 2.01048 0.347927i 0.141808 0.0245408i
\(202\) 1.55185 4.77611i 0.109188 0.336046i
\(203\) 2.24243 + 2.90803i 0.157388 + 0.204104i
\(204\) 7.33375 + 0.419359i 0.513465 + 0.0293610i
\(205\) −0.0233913 + 0.818801i −0.00163372 + 0.0571876i
\(206\) 0.336093 + 11.7648i 0.0234167 + 0.819692i
\(207\) −4.68090 + 0.267664i −0.325345 + 0.0186039i
\(208\) 0.845750 + 0.976047i 0.0586422 + 0.0676767i
\(209\) −8.27490 0.706281i −0.572387 0.0488545i
\(210\) −2.92862 + 3.37980i −0.202094 + 0.233229i
\(211\) 12.9223 16.7579i 0.889606 1.15366i −0.0977604 0.995210i \(-0.531168\pi\)
0.987367 0.158452i \(-0.0506503\pi\)
\(212\) −3.04003 4.44590i −0.208790 0.305346i
\(213\) −29.2656 + 12.3678i −2.00525 + 0.847425i
\(214\) 8.04151 + 2.86921i 0.549707 + 0.196135i
\(215\) 6.89264 + 5.00780i 0.470074 + 0.341529i
\(216\) 2.72892 + 2.50458i 0.185679 + 0.170415i
\(217\) 1.79576 + 0.758893i 0.121904 + 0.0515170i
\(218\) 1.93330 + 9.54123i 0.130940 + 0.646214i
\(219\) 3.25237 + 2.09017i 0.219775 + 0.141241i
\(220\) 1.03445 2.90413i 0.0697423 0.195797i
\(221\) −3.89868 + 2.50553i −0.262254 + 0.168540i
\(222\) 11.0979 + 11.4194i 0.744840 + 0.766423i
\(223\) −11.5071 + 19.0824i −0.770573 + 1.27785i 0.184896 + 0.982758i \(0.440805\pi\)
−0.955469 + 0.295093i \(0.904649\pi\)
\(224\) −2.10913 1.03699i −0.140922 0.0692868i
\(225\) −4.79627 + 1.11533i −0.319751 + 0.0743550i
\(226\) 4.98927 + 12.8148i 0.331881 + 0.852430i
\(227\) 5.34574 0.613367i 0.354810 0.0407106i 0.0652455 0.997869i \(-0.479217\pi\)
0.289564 + 0.957159i \(0.406490\pi\)
\(228\) 3.77654 3.46608i 0.250108 0.229547i
\(229\) 13.7451 4.90426i 0.908305 0.324083i 0.159752 0.987157i \(-0.448931\pi\)
0.748553 + 0.663075i \(0.230749\pi\)
\(230\) 3.51220 + 1.03127i 0.231588 + 0.0680002i
\(231\) 13.6692 + 8.23286i 0.899365 + 0.541683i
\(232\) 1.49917 0.440197i 0.0984255 0.0289003i
\(233\) 2.75832 2.00404i 0.180704 0.131289i −0.493756 0.869600i \(-0.664376\pi\)
0.674460 + 0.738311i \(0.264376\pi\)
\(234\) 1.52761 + 0.175277i 0.0998630 + 0.0114582i
\(235\) −1.51519 5.76438i −0.0988402 0.376027i
\(236\) −9.34951 + 9.62041i −0.608601 + 0.626236i
\(237\) −1.56973 + 7.74694i −0.101965 + 0.503218i
\(238\) 4.76032 6.96174i 0.308566 0.451263i
\(239\) 7.34797 + 22.6147i 0.475301 + 1.46283i 0.845552 + 0.533894i \(0.179272\pi\)
−0.370251 + 0.928932i \(0.620728\pi\)
\(240\) 0.887980 + 1.68291i 0.0573189 + 0.108631i
\(241\) 26.2756 1.69256 0.846280 0.532738i \(-0.178837\pi\)
0.846280 + 0.532738i \(0.178837\pi\)
\(242\) −10.8409 1.86417i −0.696879 0.119833i
\(243\) 11.7217 0.751945
\(244\) −0.524228 0.993523i −0.0335603 0.0636038i
\(245\) −0.424027 1.30502i −0.0270901 0.0833747i
\(246\) −1.01825 + 1.48914i −0.0649213 + 0.0949444i
\(247\) −0.642235 + 3.16955i −0.0408644 + 0.201674i
\(248\) 0.578103 0.594854i 0.0367096 0.0377733i
\(249\) 4.35782 + 16.5789i 0.276165 + 1.05064i
\(250\) 8.43673 + 0.968025i 0.533586 + 0.0612233i
\(251\) −21.1320 + 15.3533i −1.33384 + 0.969090i −0.334192 + 0.942505i \(0.608463\pi\)
−0.999647 + 0.0265853i \(0.991537\pi\)
\(252\) −2.68485 + 0.788342i −0.169129 + 0.0496609i
\(253\) 1.48191 12.9766i 0.0931668 0.815833i
\(254\) −4.21706 1.23824i −0.264602 0.0776942i
\(255\) −6.43091 + 2.29455i −0.402719 + 0.143690i
\(256\) −0.736741 + 0.676175i −0.0460463 + 0.0422609i
\(257\) 8.12058 0.931750i 0.506548 0.0581210i 0.143049 0.989716i \(-0.454309\pi\)
0.363499 + 0.931595i \(0.381582\pi\)
\(258\) 6.80743 + 17.4847i 0.423812 + 1.08855i
\(259\) 17.8070 4.14084i 1.10647 0.257299i
\(260\) −1.07730 0.529673i −0.0668113 0.0328489i
\(261\) 0.960624 1.59302i 0.0594612 0.0986053i
\(262\) 7.31174 + 7.52360i 0.451721 + 0.464810i
\(263\) −19.0495 + 12.2424i −1.17464 + 0.754897i −0.974394 0.224848i \(-0.927811\pi\)
−0.200249 + 0.979745i \(0.564175\pi\)
\(264\) 5.37435 4.14882i 0.330769 0.255342i
\(265\) 4.21156 + 2.70660i 0.258714 + 0.166265i
\(266\) −1.16874 5.76797i −0.0716602 0.353657i
\(267\) −23.0181 9.72755i −1.40869 0.595316i
\(268\) −0.734318 0.673951i −0.0448556 0.0411681i
\(269\) 14.5688 + 10.5848i 0.888274 + 0.645369i 0.935427 0.353519i \(-0.115015\pi\)
−0.0471536 + 0.998888i \(0.515015\pi\)
\(270\) −3.24275 1.15701i −0.197347 0.0704134i
\(271\) −15.2407 + 6.44076i −0.925805 + 0.391248i −0.799447 0.600736i \(-0.794874\pi\)
−0.126358 + 0.991985i \(0.540329\pi\)
\(272\) −2.02543 2.96210i −0.122810 0.179604i
\(273\) 3.79437 4.92062i 0.229645 0.297809i
\(274\) 7.94320 9.16694i 0.479866 0.553795i
\(275\) −0.790430 13.6947i −0.0476647 0.825824i
\(276\) 5.27916 + 6.09248i 0.317768 + 0.366724i
\(277\) −6.28374 + 0.359317i −0.377553 + 0.0215893i −0.244836 0.969565i \(-0.578734\pi\)
−0.132718 + 0.991154i \(0.542370\pi\)
\(278\) −0.170038 5.95211i −0.0101982 0.356984i
\(279\) 0.0282013 0.987175i 0.00168837 0.0591006i
\(280\) 2.18106 + 0.124718i 0.130343 + 0.00745330i
\(281\) −9.99916 12.9671i −0.596500 0.773555i 0.392773 0.919635i \(-0.371516\pi\)
−0.989273 + 0.146081i \(0.953334\pi\)
\(282\) 4.05622 12.4838i 0.241544 0.743397i
\(283\) −27.0989 + 4.68965i −1.61086 + 0.278771i −0.903663 0.428243i \(-0.859133\pi\)
−0.707199 + 0.707014i \(0.750042\pi\)
\(284\) 13.5143 + 7.63189i 0.801928 + 0.452869i
\(285\) −1.97934 + 4.33415i −0.117246 + 0.256733i
\(286\) −1.20458 + 4.11054i −0.0712283 + 0.243061i
\(287\) 0.860394 + 1.88400i 0.0507875 + 0.111209i
\(288\) −0.101884 + 1.18622i −0.00600358 + 0.0698984i
\(289\) −3.70048 + 1.81941i −0.217675 + 0.107024i
\(290\) −1.12432 + 0.919349i −0.0660222 + 0.0539860i
\(291\) −3.42565 + 1.93455i −0.200815 + 0.113405i
\(292\) −0.161615 1.88165i −0.00945782 0.110115i
\(293\) −1.43580 2.38101i −0.0838803 0.139100i 0.811580 0.584241i \(-0.198608\pi\)
−0.895460 + 0.445142i \(0.853153\pi\)
\(294\) 0.768239 2.92269i 0.0448046 0.170454i
\(295\) 4.52407 11.6200i 0.263402 0.676542i
\(296\) 1.10703 7.69955i 0.0643447 0.447527i
\(297\) −2.08839 + 12.1061i −0.121181 + 0.702468i
\(298\) −2.73915 19.0512i −0.158675 1.10361i
\(299\) −4.95377 1.15195i −0.286484 0.0666190i
\(300\) 6.55447 + 5.35956i 0.378422 + 0.309434i
\(301\) 21.2266 + 3.67340i 1.22348 + 0.211731i
\(302\) −8.55749 + 16.2182i −0.492428 + 0.933255i
\(303\) −4.79747 + 9.09222i −0.275607 + 0.522334i
\(304\) −2.46737 0.426996i −0.141513 0.0244899i
\(305\) 0.808336 + 0.660973i 0.0462852 + 0.0378472i
\(306\) −4.16123 0.967653i −0.237882 0.0553170i
\(307\) 0.473603 + 3.29398i 0.0270300 + 0.187998i 0.998863 0.0476729i \(-0.0151805\pi\)
−0.971833 + 0.235670i \(0.924271\pi\)
\(308\) −0.892694 7.74368i −0.0508660 0.441237i
\(309\) 3.42885 23.8482i 0.195061 1.35668i
\(310\) −0.279735 + 0.718493i −0.0158879 + 0.0408077i
\(311\) 2.90762 11.0617i 0.164876 0.627252i −0.832446 0.554107i \(-0.813060\pi\)
0.997321 0.0731456i \(-0.0233038\pi\)
\(312\) −1.36526 2.26402i −0.0772924 0.128175i
\(313\) −1.50634 17.5380i −0.0851434 0.991307i −0.906866 0.421419i \(-0.861532\pi\)
0.821722 0.569888i \(-0.193013\pi\)
\(314\) −14.0271 + 7.92145i −0.791593 + 0.447033i
\(315\) 2.01352 1.64645i 0.113449 0.0927669i
\(316\) 3.46510 1.70368i 0.194927 0.0958392i
\(317\) −0.334207 + 3.89110i −0.0187709 + 0.218546i 0.980936 + 0.194332i \(0.0622538\pi\)
−0.999707 + 0.0242142i \(0.992292\pi\)
\(318\) 4.58012 + 10.0291i 0.256840 + 0.562402i
\(319\) 3.91818 + 3.39146i 0.219376 + 0.189886i
\(320\) 0.386136 0.845521i 0.0215857 0.0472660i
\(321\) −15.2190 8.59459i −0.849444 0.479703i
\(322\) 9.11988 1.57826i 0.508231 0.0879528i
\(323\) 2.77666 8.54568i 0.154497 0.475494i
\(324\) −6.81133 8.83308i −0.378407 0.490727i
\(325\) −5.33291 0.304947i −0.295816 0.0169154i
\(326\) 0.453488 15.8741i 0.0251164 0.879187i
\(327\) −0.569085 19.9206i −0.0314705 1.10161i
\(328\) 0.879809 0.0503093i 0.0485793 0.00277787i
\(329\) −9.86891 11.3893i −0.544090 0.627914i
\(330\) −3.10035 + 5.49686i −0.170669 + 0.302592i
\(331\) −6.78491 + 7.83021i −0.372933 + 0.430387i −0.910931 0.412559i \(-0.864635\pi\)
0.537998 + 0.842946i \(0.319181\pi\)
\(332\) 5.11347 6.63127i 0.280638 0.363938i
\(333\) −5.22743 7.64488i −0.286462 0.418937i
\(334\) −15.6891 + 6.63025i −0.858467 + 0.362791i
\(335\) 0.872583 + 0.311337i 0.0476743 + 0.0170102i
\(336\) 3.89236 + 2.82796i 0.212346 + 0.154278i
\(337\) 16.5437 + 15.1837i 0.901193 + 0.827107i 0.985560 0.169328i \(-0.0541596\pi\)
−0.0843673 + 0.996435i \(0.526887\pi\)
\(338\) −10.4382 4.41122i −0.567764 0.239939i
\(339\) −5.59057 27.5905i −0.303638 1.49851i
\(340\) 2.80597 + 1.80329i 0.152175 + 0.0977970i
\(341\) 2.69661 + 0.544904i 0.146029 + 0.0295082i
\(342\) −2.50801 + 1.61180i −0.135618 + 0.0871561i
\(343\) −13.8840 14.2863i −0.749665 0.771387i
\(344\) 4.73319 7.84911i 0.255196 0.423195i
\(345\) −6.72450 3.30621i −0.362035 0.178001i
\(346\) −8.99561 + 2.09184i −0.483607 + 0.112458i
\(347\) 10.3855 + 26.6749i 0.557521 + 1.43198i 0.875190 + 0.483779i \(0.160736\pi\)
−0.317669 + 0.948202i \(0.602900\pi\)
\(348\) −3.17766 + 0.364602i −0.170340 + 0.0195447i
\(349\) 25.5949 23.4908i 1.37006 1.25743i 0.436177 0.899861i \(-0.356332\pi\)
0.933886 0.357571i \(-0.116395\pi\)
\(350\) 9.15539 3.26664i 0.489376 0.174609i
\(351\) 4.58998 + 1.34774i 0.244995 + 0.0719370i
\(352\) −3.20811 0.841434i −0.170993 0.0448486i
\(353\) 19.9306 5.85214i 1.06080 0.311478i 0.295625 0.955304i \(-0.404472\pi\)
0.765172 + 0.643826i \(0.222654\pi\)
\(354\) 22.2172 16.1418i 1.18083 0.857925i
\(355\) −14.3325 1.64450i −0.760689 0.0872809i
\(356\) 3.10329 + 11.8061i 0.164474 + 0.625723i
\(357\) −12.0323 + 12.3809i −0.636814 + 0.655266i
\(358\) 3.46521 17.1015i 0.183142 0.903843i
\(359\) −14.1347 + 20.6713i −0.745999 + 1.09099i 0.246549 + 0.969130i \(0.420704\pi\)
−0.992548 + 0.121858i \(0.961115\pi\)
\(360\) −0.341980 1.05251i −0.0180239 0.0554719i
\(361\) 5.94056 + 11.2586i 0.312661 + 0.592558i
\(362\) −2.50389 −0.131601
\(363\) 21.2165 + 7.54451i 1.11358 + 0.395984i
\(364\) −3.03537 −0.159096
\(365\) 0.819222 + 1.55260i 0.0428800 + 0.0812667i
\(366\) 0.710612 + 2.18704i 0.0371443 + 0.114318i
\(367\) 17.3418 25.3616i 0.905236 1.32387i −0.0405851 0.999176i \(-0.512922\pi\)
0.945821 0.324689i \(-0.105260\pi\)
\(368\) 0.782055 3.85959i 0.0407674 0.201195i
\(369\) 0.731225 0.752412i 0.0380660 0.0391690i
\(370\) 1.83812 + 6.99294i 0.0955593 + 0.363545i
\(371\) 12.5758 + 1.44294i 0.652903 + 0.0749136i
\(372\) −1.37375 + 0.998085i −0.0712254 + 0.0517483i
\(373\) −17.5231 + 5.14523i −0.907310 + 0.266410i −0.701908 0.712268i \(-0.747668\pi\)
−0.205402 + 0.978678i \(0.565850\pi\)
\(374\) 4.62696 10.9650i 0.239255 0.566988i
\(375\) −16.6799 4.89766i −0.861346 0.252914i
\(376\) −6.03922 + 2.15479i −0.311449 + 0.111125i
\(377\) 1.48668 1.36446i 0.0765680 0.0702734i
\(378\) −8.64876 + 0.992353i −0.444844 + 0.0510411i
\(379\) −11.2578 28.9153i −0.578272 1.48528i −0.852036 0.523482i \(-0.824633\pi\)
0.273765 0.961797i \(-0.411731\pi\)
\(380\) 2.26707 0.527185i 0.116298 0.0270440i
\(381\) 8.07404 + 3.96974i 0.413645 + 0.203376i
\(382\) 2.53898 4.21043i 0.129906 0.215424i
\(383\) 10.8910 + 11.2066i 0.556506 + 0.572631i 0.935749 0.352666i \(-0.114725\pi\)
−0.379243 + 0.925297i \(0.623816\pi\)
\(384\) 1.72212 1.10674i 0.0878817 0.0564781i
\(385\) 3.56626 + 6.30715i 0.181753 + 0.321442i
\(386\) −13.6963 8.80208i −0.697124 0.448014i
\(387\) −2.16714 10.6953i −0.110162 0.543671i
\(388\) 1.77024 + 0.748109i 0.0898702 + 0.0379795i
\(389\) 19.0815 + 17.5128i 0.967470 + 0.887936i 0.993740 0.111719i \(-0.0356357\pi\)
−0.0262700 + 0.999655i \(0.508363\pi\)
\(390\) 1.98814 + 1.44447i 0.100673 + 0.0731434i
\(391\) 13.3093 + 4.74875i 0.673081 + 0.240155i
\(392\) −1.35979 + 0.574650i −0.0686795 + 0.0290242i
\(393\) −12.1223 17.7283i −0.611488 0.894273i
\(394\) 9.61306 12.4664i 0.484299 0.628050i
\(395\) −2.35038 + 2.71248i −0.118260 + 0.136480i
\(396\) −3.49139 + 1.84460i −0.175449 + 0.0926947i
\(397\) 15.4557 + 17.8368i 0.775700 + 0.895205i 0.996791 0.0800478i \(-0.0255073\pi\)
−0.221091 + 0.975253i \(0.570962\pi\)
\(398\) −10.7584 + 0.615186i −0.539269 + 0.0308365i
\(399\) 0.344030 + 12.0426i 0.0172230 + 0.602884i
\(400\) 0.118108 4.13431i 0.00590538 0.206715i
\(401\) 30.2604 + 1.73035i 1.51113 + 0.0864097i 0.792882 0.609375i \(-0.208580\pi\)
0.718250 + 0.695785i \(0.244943\pi\)
\(402\) 1.24594 + 1.61576i 0.0621419 + 0.0805870i
\(403\) 0.331045 1.01885i 0.0164905 0.0507526i
\(404\) 4.94834 0.856345i 0.246189 0.0426047i
\(405\) 9.02798 + 5.09834i 0.448604 + 0.253338i
\(406\) −1.52549 + 3.34036i −0.0757089 + 0.165779i
\(407\) 23.4620 10.7299i 1.16297 0.531860i
\(408\) 3.05153 + 6.68191i 0.151073 + 0.330804i
\(409\) 0.865349 10.0751i 0.0427888 0.498180i −0.943298 0.331948i \(-0.892294\pi\)
0.986087 0.166233i \(-0.0531603\pi\)
\(410\) −0.735091 + 0.361420i −0.0363036 + 0.0178493i
\(411\) −19.2222 + 15.7180i −0.948163 + 0.775309i
\(412\) −10.2483 + 5.78750i −0.504899 + 0.285130i
\(413\) −2.69811 31.4135i −0.132765 1.54576i
\(414\) −2.42116 4.01504i −0.118993 0.197328i
\(415\) −1.97875 + 7.52793i −0.0971329 + 0.369532i
\(416\) −0.468565 + 1.20350i −0.0229733 + 0.0590064i
\(417\) −1.73474 + 12.0654i −0.0849508 + 0.590846i
\(418\) −3.23697 7.64819i −0.158325 0.374085i
\(419\) 1.27995 + 8.90228i 0.0625298 + 0.434905i 0.996905 + 0.0786142i \(0.0250495\pi\)
−0.934375 + 0.356290i \(0.884041\pi\)
\(420\) −4.35590 1.01292i −0.212546 0.0494255i
\(421\) 7.77543 + 6.35794i 0.378951 + 0.309867i 0.803235 0.595662i \(-0.203110\pi\)
−0.424283 + 0.905529i \(0.639474\pi\)
\(422\) 20.8517 + 3.60852i 1.01504 + 0.175660i
\(423\) −3.56262 + 6.75191i −0.173220 + 0.328289i
\(424\) 2.51342 4.76346i 0.122062 0.231334i
\(425\) 14.6241 + 2.53080i 0.709374 + 0.122762i
\(426\) −24.5958 20.1119i −1.19167 0.974423i
\(427\) 2.57155 + 0.597989i 0.124446 + 0.0289387i
\(428\) 1.21509 + 8.45115i 0.0587337 + 0.408502i
\(429\) 3.86466 7.87093i 0.186587 0.380012i
\(430\) −1.21249 + 8.43305i −0.0584714 + 0.406678i
\(431\) −8.68377 + 22.3041i −0.418282 + 1.07435i 0.552314 + 0.833636i \(0.313745\pi\)
−0.970596 + 0.240713i \(0.922619\pi\)
\(432\) −0.941635 + 3.58235i −0.0453045 + 0.172356i
\(433\) −13.0535 21.6467i −0.627309 1.04028i −0.993942 0.109910i \(-0.964944\pi\)
0.366632 0.930366i \(-0.380511\pi\)
\(434\) 0.166831 + 1.94238i 0.00800814 + 0.0932371i
\(435\) 2.58879 1.46196i 0.124123 0.0700955i
\(436\) −7.53637 + 6.16246i −0.360927 + 0.295128i
\(437\) 8.84925 4.35088i 0.423317 0.208131i
\(438\) −0.330841 + 3.85192i −0.0158082 + 0.184052i
\(439\) −9.93315 21.7506i −0.474083 1.03810i −0.984048 0.177902i \(-0.943069\pi\)
0.509965 0.860195i \(-0.329658\pi\)
\(440\) 3.05125 0.440367i 0.145463 0.0209937i
\(441\) −0.730120 + 1.59874i −0.0347676 + 0.0761305i
\(442\) −4.03536 2.27887i −0.191943 0.108395i
\(443\) −8.89727 + 1.53973i −0.422722 + 0.0731549i −0.377914 0.925841i \(-0.623359\pi\)
−0.0448080 + 0.998996i \(0.514268\pi\)
\(444\) −4.92072 + 15.1444i −0.233527 + 0.718722i
\(445\) −6.92890 8.98556i −0.328461 0.425956i
\(446\) −22.2471 1.27213i −1.05343 0.0602373i
\(447\) −1.12513 + 39.3846i −0.0532166 + 1.86283i
\(448\) −0.0671145 2.34931i −0.00317086 0.110995i
\(449\) −2.28395 + 0.130601i −0.107786 + 0.00616345i −0.110899 0.993832i \(-0.535373\pi\)
0.00311239 + 0.999995i \(0.499009\pi\)
\(450\) −3.22469 3.72150i −0.152014 0.175433i
\(451\) 1.71922 + 2.36365i 0.0809549 + 0.111300i
\(452\) −9.00553 + 10.3929i −0.423585 + 0.488843i
\(453\) 22.9228 29.7268i 1.07701 1.39669i
\(454\) 3.03717 + 4.44171i 0.142541 + 0.208460i
\(455\) 2.59889 1.09830i 0.121838 0.0514890i
\(456\) 4.82791 + 1.72259i 0.226087 + 0.0806678i
\(457\) −5.04646 3.66647i −0.236063 0.171510i 0.463464 0.886116i \(-0.346606\pi\)
−0.699528 + 0.714605i \(0.746606\pi\)
\(458\) 10.7519 + 9.86800i 0.502403 + 0.461101i
\(459\) −12.2431 5.17398i −0.571459 0.241501i
\(460\) 0.726935 + 3.58757i 0.0338935 + 0.167271i
\(461\) −12.8514 8.25912i −0.598551 0.384666i 0.205997 0.978553i \(-0.433956\pi\)
−0.804548 + 0.593887i \(0.797593\pi\)
\(462\) −0.902460 + 15.9315i −0.0419863 + 0.741199i
\(463\) −28.0513 + 18.0275i −1.30365 + 0.837808i −0.993605 0.112912i \(-0.963982\pi\)
−0.310050 + 0.950720i \(0.600346\pi\)
\(464\) 1.08894 + 1.12049i 0.0505527 + 0.0520175i
\(465\) 0.815063 1.35163i 0.0377977 0.0626804i
\(466\) 3.05966 + 1.50433i 0.141736 + 0.0696868i
\(467\) 3.78722 0.880681i 0.175252 0.0407530i −0.137952 0.990439i \(-0.544052\pi\)
0.313204 + 0.949686i \(0.398598\pi\)
\(468\) 0.557865 + 1.43287i 0.0257873 + 0.0662342i
\(469\) 2.32727 0.267030i 0.107463 0.0123303i
\(470\) 4.39112 4.03013i 0.202547 0.185896i
\(471\) 31.0593 11.0819i 1.43114 0.510629i
\(472\) −12.8717 3.77948i −0.592469 0.173965i
\(473\) 30.3866 0.884313i 1.39718 0.0406608i
\(474\) −7.58420 + 2.22692i −0.348354 + 0.102286i
\(475\) 8.37876 6.08753i 0.384444 0.279315i
\(476\) 8.37868 + 0.961364i 0.384036 + 0.0440641i
\(477\) −1.63014 6.20168i −0.0746388 0.283956i
\(478\) −16.5722 + 17.0523i −0.757993 + 0.779956i
\(479\) 3.49720 17.2594i 0.159791 0.788600i −0.817372 0.576110i \(-0.804570\pi\)
0.977163 0.212490i \(-0.0681573\pi\)
\(480\) −1.07403 + 1.57072i −0.0490225 + 0.0716931i
\(481\) −3.10445 9.55450i −0.141551 0.435648i
\(482\) 12.2620 + 23.2390i 0.558517 + 1.05851i
\(483\) −18.9467 −0.862106
\(484\) −3.41036 10.4580i −0.155016 0.475363i
\(485\) −1.78637 −0.0811151
\(486\) 5.47012 + 10.3670i 0.248130 + 0.470258i
\(487\) 5.86448 + 18.0490i 0.265745 + 0.817879i 0.991521 + 0.129948i \(0.0414810\pi\)
−0.725776 + 0.687931i \(0.758519\pi\)
\(488\) 0.634064 0.927289i 0.0287027 0.0419764i
\(489\) −6.45599 + 31.8616i −0.291950 + 1.44083i
\(490\) 0.956323 0.984034i 0.0432023 0.0444541i
\(491\) 4.08812 + 15.5528i 0.184494 + 0.701889i 0.993475 + 0.114054i \(0.0363835\pi\)
−0.808980 + 0.587836i \(0.799980\pi\)
\(492\) −1.79223 0.205640i −0.0808001 0.00927095i
\(493\) −4.53592 + 3.29554i −0.204287 + 0.148424i
\(494\) −3.10297 + 0.911113i −0.139609 + 0.0409929i
\(495\) 2.32190 2.84266i 0.104362 0.127768i
\(496\) 0.795891 + 0.233695i 0.0357365 + 0.0104932i
\(497\) −34.3558 + 12.2581i −1.54107 + 0.549852i
\(498\) −12.6292 + 11.5910i −0.565930 + 0.519405i
\(499\) 3.25526 0.373506i 0.145725 0.0167204i −0.0408218 0.999166i \(-0.512998\pi\)
0.186547 + 0.982446i \(0.440270\pi\)
\(500\) 3.08099 + 7.91347i 0.137786 + 0.353901i
\(501\) 33.9610 7.89729i 1.51727 0.352825i
\(502\) −23.4405 11.5249i −1.04620 0.514383i
\(503\) −14.2132 + 23.5700i −0.633736 + 1.05093i 0.359311 + 0.933218i \(0.383012\pi\)
−0.993047 + 0.117716i \(0.962443\pi\)
\(504\) −1.95017 2.00667i −0.0868673 0.0893843i
\(505\) −3.92693 + 2.52368i −0.174746 + 0.112302i
\(506\) 12.1685 4.74512i 0.540956 0.210946i
\(507\) 19.5152 + 12.5416i 0.866699 + 0.556993i
\(508\) −0.872824 4.30755i −0.0387253 0.191117i
\(509\) 5.12426 + 2.16553i 0.227129 + 0.0959855i 0.499865 0.866103i \(-0.333383\pi\)
−0.272736 + 0.962089i \(0.587928\pi\)
\(510\) −5.03047 4.61692i −0.222753 0.204441i
\(511\) 3.59097 + 2.60899i 0.158855 + 0.115415i
\(512\) −0.941844 0.336049i −0.0416240 0.0148514i
\(513\) −8.54351 + 3.61052i −0.377205 + 0.159408i
\(514\) 4.61368 + 6.74729i 0.203501 + 0.297610i
\(515\) 6.68053 8.66347i 0.294379 0.381758i
\(516\) −12.2873 + 14.1803i −0.540917 + 0.624252i
\(517\) −16.8480 12.9774i −0.740975 0.570746i
\(518\) 11.9722 + 13.8167i 0.526030 + 0.607071i
\(519\) 18.8753 1.07933i 0.828535 0.0473774i
\(520\) −0.0342807 1.19998i −0.00150331 0.0526226i
\(521\) −0.184431 + 6.45594i −0.00808009 + 0.282840i 0.985498 + 0.169689i \(0.0542763\pi\)
−0.993578 + 0.113151i \(0.963906\pi\)
\(522\) 1.85721 + 0.106199i 0.0812878 + 0.00464820i
\(523\) −16.4833 21.3759i −0.720765 0.934705i 0.278907 0.960318i \(-0.410028\pi\)
−0.999672 + 0.0256133i \(0.991846\pi\)
\(524\) −3.24197 + 9.97776i −0.141626 + 0.435881i
\(525\) −19.6077 + 3.39325i −0.855751 + 0.148094i
\(526\) −19.7173 11.1349i −0.859717 0.485504i
\(527\) −1.23649 + 2.70754i −0.0538625 + 0.117942i
\(528\) 6.17739 + 2.81713i 0.268836 + 0.122600i
\(529\) −3.11226 6.81490i −0.135316 0.296300i
\(530\) −0.428413 + 4.98792i −0.0186091 + 0.216662i
\(531\) −14.3331 + 7.04711i −0.622003 + 0.305818i
\(532\) 4.55597 3.72540i 0.197526 0.161516i
\(533\) 0.991019 0.559654i 0.0429258 0.0242413i
\(534\) −2.13845 24.8975i −0.0925398 1.07742i
\(535\) −4.09828 6.79623i −0.177184 0.293827i
\(536\) 0.253382 0.963966i 0.0109444 0.0416370i
\(537\) −12.9594 + 33.2860i −0.559240 + 1.43640i
\(538\) −2.56280 + 17.8247i −0.110490 + 0.768477i
\(539\) −4.04305 2.76140i −0.174147 0.118942i
\(540\) −0.489987 3.40793i −0.0210857 0.146654i
\(541\) 23.6172 + 5.49194i 1.01538 + 0.236117i 0.700986 0.713175i \(-0.252744\pi\)
0.314396 + 0.949292i \(0.398198\pi\)
\(542\) −12.8087 10.4737i −0.550183 0.449882i
\(543\) 5.05062 + 0.874043i 0.216743 + 0.0375088i
\(544\) 1.67458 3.17368i 0.0717969 0.136070i
\(545\) 4.22287 8.00323i 0.180888 0.342821i
\(546\) 6.12266 + 1.05957i 0.262026 + 0.0453454i
\(547\) −7.11974 5.82178i −0.304418 0.248921i 0.468447 0.883491i \(-0.344814\pi\)
−0.772865 + 0.634570i \(0.781177\pi\)
\(548\) 11.8144 + 2.74732i 0.504685 + 0.117359i
\(549\) −0.190337 1.32382i −0.00812338 0.0564993i
\(550\) 11.7432 7.08997i 0.500732 0.302317i
\(551\) −0.556804 + 3.87266i −0.0237206 + 0.164981i
\(552\) −2.92478 + 7.51223i −0.124487 + 0.319742i
\(553\) −2.30704 + 8.77690i −0.0981054 + 0.373232i
\(554\) −3.25021 5.38987i −0.138088 0.228993i
\(555\) −1.26663 14.7472i −0.0537656 0.625982i
\(556\) 5.18489 2.92804i 0.219888 0.124177i
\(557\) 26.7477 21.8715i 1.13334 0.926726i 0.135392 0.990792i \(-0.456771\pi\)
0.997946 + 0.0640663i \(0.0204069\pi\)
\(558\) 0.886251 0.435740i 0.0375180 0.0184464i
\(559\) 1.01300 11.7941i 0.0428453 0.498839i
\(560\) 0.907525 + 1.98720i 0.0383499 + 0.0839746i
\(561\) −13.1607 + 20.5025i −0.555645 + 0.865617i
\(562\) 6.80228 14.8949i 0.286937 0.628304i
\(563\) −15.0882 8.52069i −0.635891 0.359104i 0.139834 0.990175i \(-0.455343\pi\)
−0.775725 + 0.631071i \(0.782616\pi\)
\(564\) 12.9340 2.23831i 0.544618 0.0942498i
\(565\) 3.95004 12.1570i 0.166179 0.511447i
\(566\) −16.7939 21.7787i −0.705898 0.915425i
\(567\) 26.1728 + 1.49661i 1.09915 + 0.0628519i
\(568\) −0.443201 + 15.5141i −0.0185963 + 0.650956i
\(569\) −0.980078 34.3072i −0.0410870 1.43823i −0.714846 0.699282i \(-0.753503\pi\)
0.673759 0.738951i \(-0.264679\pi\)
\(570\) −4.75696 + 0.272013i −0.199247 + 0.0113934i
\(571\) 9.32841 + 10.7656i 0.390382 + 0.450524i 0.916588 0.399832i \(-0.130932\pi\)
−0.526207 + 0.850357i \(0.676386\pi\)
\(572\) −4.19764 + 0.852885i −0.175512 + 0.0356609i
\(573\) −6.59116 + 7.60660i −0.275350 + 0.317770i
\(574\) −1.26475 + 1.64016i −0.0527898 + 0.0684591i
\(575\) 9.19346 + 13.4450i 0.383394 + 0.560695i
\(576\) −1.09667 + 0.463458i −0.0456948 + 0.0193108i
\(577\) −19.6282 7.00332i −0.817131 0.291552i −0.105781 0.994389i \(-0.533734\pi\)
−0.711350 + 0.702838i \(0.751916\pi\)
\(578\) −3.33604 2.42377i −0.138761 0.100816i
\(579\) 24.5544 + 22.5358i 1.02044 + 0.936556i
\(580\) −1.33778 0.565352i −0.0555485 0.0234750i
\(581\) 3.90842 + 19.2888i 0.162149 + 0.800235i
\(582\) −3.30962 2.12696i −0.137188 0.0881654i
\(583\) 17.7966 1.53813i 0.737061 0.0637027i
\(584\) 1.58878 1.02104i 0.0657440 0.0422511i
\(585\) −0.996105 1.02497i −0.0411839 0.0423772i
\(586\) 1.43580 2.38101i 0.0593124 0.0983585i
\(587\) 29.2764 + 14.3943i 1.20837 + 0.594115i 0.930425 0.366483i \(-0.119438\pi\)
0.277943 + 0.960597i \(0.410347\pi\)
\(588\) 2.94343 0.684466i 0.121385 0.0282269i
\(589\) 0.753582 + 1.93556i 0.0310508 + 0.0797533i
\(590\) 12.3883 1.42143i 0.510020 0.0585193i
\(591\) −23.7423 + 21.7905i −0.976628 + 0.896341i
\(592\) 7.32635 2.61404i 0.301111 0.107436i
\(593\) −35.0360 10.2875i −1.43876 0.422457i −0.532949 0.846147i \(-0.678916\pi\)
−0.905807 + 0.423691i \(0.860734\pi\)
\(594\) −11.6816 + 3.80249i −0.479303 + 0.156018i
\(595\) −7.52170 + 2.20857i −0.308360 + 0.0905426i
\(596\) 15.5713 11.3132i 0.637823 0.463406i
\(597\) 21.9156 + 2.51458i 0.896945 + 0.102915i
\(598\) −1.29294 4.91886i −0.0528723 0.201147i
\(599\) −18.0785 + 18.6023i −0.738668 + 0.760071i −0.977488 0.210993i \(-0.932330\pi\)
0.238820 + 0.971064i \(0.423240\pi\)
\(600\) −1.68142 + 8.29812i −0.0686436 + 0.338769i
\(601\) −18.9027 + 27.6443i −0.771057 + 1.12764i 0.217392 + 0.976084i \(0.430245\pi\)
−0.988449 + 0.151551i \(0.951573\pi\)
\(602\) 6.65687 + 20.4877i 0.271314 + 0.835017i
\(603\) −0.553779 1.04953i −0.0225516 0.0427401i
\(604\) −18.3375 −0.746140
\(605\) 6.70401 + 7.72017i 0.272557 + 0.313869i
\(606\) −10.2803 −0.417608
\(607\) 20.2175 + 38.3165i 0.820605 + 1.55522i 0.831663 + 0.555280i \(0.187389\pi\)
−0.0110583 + 0.999939i \(0.503520\pi\)
\(608\) −0.773793 2.38149i −0.0313814 0.0965822i
\(609\) 4.24312 6.20536i 0.171940 0.251454i
\(610\) −0.207362 + 1.02337i −0.00839585 + 0.0414352i
\(611\) −5.77150 + 5.93874i −0.233490 + 0.240256i
\(612\) −1.08609 4.13190i −0.0439024 0.167022i
\(613\) −30.4094 3.48915i −1.22822 0.140926i −0.524507 0.851406i \(-0.675750\pi\)
−0.703717 + 0.710481i \(0.748478\pi\)
\(614\) −2.69229 + 1.95606i −0.108652 + 0.0789403i
\(615\) 1.60892 0.472422i 0.0648780 0.0190499i
\(616\) 6.43218 4.40325i 0.259160 0.177412i
\(617\) −30.6598 9.00252i −1.23432 0.362428i −0.401439 0.915886i \(-0.631490\pi\)
−0.832877 + 0.553458i \(0.813308\pi\)
\(618\) 22.6923 8.09659i 0.912817 0.325693i
\(619\) 0.580407 0.532692i 0.0233285 0.0214107i −0.664426 0.747354i \(-0.731324\pi\)
0.687754 + 0.725943i \(0.258597\pi\)
\(620\) −0.766002 + 0.0878906i −0.0307634 + 0.00352977i
\(621\) −5.29214 13.5927i −0.212366 0.545458i
\(622\) 11.1402 2.59055i 0.446683 0.103872i
\(623\) −25.7465 12.6587i −1.03151 0.507160i
\(624\) 1.36526 2.26402i 0.0546540 0.0906335i
\(625\) 8.91133 + 9.16954i 0.356453 + 0.366782i
\(626\) 14.8082 9.51668i 0.591856 0.380363i
\(627\) 3.85953 + 16.5572i 0.154135 + 0.661230i
\(628\) −13.5520 8.70932i −0.540782 0.347540i
\(629\) 5.54325 + 27.3570i 0.221024 + 1.09080i
\(630\) 2.39582 + 1.01248i 0.0954517 + 0.0403382i
\(631\) −7.21108 6.61827i −0.287068 0.263469i 0.519684 0.854359i \(-0.326050\pi\)
−0.806753 + 0.590889i \(0.798777\pi\)
\(632\) 3.12384 + 2.26960i 0.124259 + 0.0902798i
\(633\) −40.8004 14.5576i −1.62167 0.578611i
\(634\) −3.59738 + 1.52027i −0.142870 + 0.0603775i
\(635\) 2.30593 + 3.37232i 0.0915082 + 0.133826i
\(636\) −6.73264 + 8.73104i −0.266967 + 0.346208i
\(637\) −1.24852 + 1.44087i −0.0494680 + 0.0570892i
\(638\) −1.17103 + 5.04806i −0.0463617 + 0.199854i
\(639\) 12.1007 + 13.9650i 0.478698 + 0.552446i
\(640\) 0.928003 0.0530652i 0.0366826 0.00209758i
\(641\) −0.607195 21.2546i −0.0239828 0.839506i −0.919180 0.393837i \(-0.871148\pi\)
0.895198 0.445669i \(-0.147034\pi\)
\(642\) 0.499108 17.4710i 0.0196982 0.689527i
\(643\) 47.3664 + 2.70851i 1.86795 + 0.106813i 0.954145 0.299346i \(-0.0967685\pi\)
0.913802 + 0.406159i \(0.133132\pi\)
\(644\) 5.65181 + 7.32940i 0.222713 + 0.288819i
\(645\) 5.38949 16.5871i 0.212211 0.653118i
\(646\) 8.85385 1.53222i 0.348350 0.0602844i
\(647\) −5.41517 3.05809i −0.212892 0.120226i 0.381599 0.924328i \(-0.375374\pi\)
−0.594491 + 0.804102i \(0.702646\pi\)
\(648\) 4.63365 10.1463i 0.182027 0.398583i
\(649\) −12.5579 42.6840i −0.492941 1.67549i
\(650\) −2.21899 4.85891i −0.0870359 0.190582i
\(651\) 0.341518 3.97622i 0.0133852 0.155840i
\(652\) 14.2512 7.00686i 0.558121 0.274410i
\(653\) −4.32850 + 3.53940i −0.169387 + 0.138507i −0.713906 0.700241i \(-0.753076\pi\)
0.544519 + 0.838748i \(0.316712\pi\)
\(654\) 17.3528 9.79960i 0.678550 0.383195i
\(655\) −0.834511 9.71604i −0.0326071 0.379637i
\(656\) 0.455073 + 0.754654i 0.0177676 + 0.0294643i
\(657\) 0.571613 2.17464i 0.0223007 0.0848408i
\(658\) 5.46760 14.0434i 0.213149 0.547469i
\(659\) 3.97929 27.6766i 0.155011 1.07813i −0.752650 0.658421i \(-0.771225\pi\)
0.907661 0.419704i \(-0.137866\pi\)
\(660\) −6.30843 0.176846i −0.245555 0.00688373i
\(661\) −1.79419 12.4789i −0.0697860 0.485372i −0.994502 0.104715i \(-0.966607\pi\)
0.924716 0.380657i \(-0.124302\pi\)
\(662\) −10.0916 2.34670i −0.392221 0.0912070i
\(663\) 7.34427 + 6.00538i 0.285228 + 0.233230i
\(664\) 8.25120 + 1.42793i 0.320209 + 0.0554143i
\(665\) −2.55286 + 4.83820i −0.0989955 + 0.187617i
\(666\) 4.32191 8.19093i 0.167471 0.317392i
\(667\) −6.06291 1.04923i −0.234757 0.0406262i
\(668\) −13.1856 10.7818i −0.510165 0.417160i
\(669\) 44.4307 + 10.3319i 1.71779 + 0.399455i
\(670\) 0.131849 + 0.917032i 0.00509379 + 0.0354281i
\(671\) 3.72425 + 0.104403i 0.143773 + 0.00403044i
\(672\) −0.684708 + 4.76225i −0.0264132 + 0.183708i
\(673\) 9.18259 23.5853i 0.353963 0.909146i −0.636489 0.771286i \(-0.719614\pi\)
0.990452 0.137860i \(-0.0440224\pi\)
\(674\) −5.70853 + 21.7175i −0.219884 + 0.836527i
\(675\) −7.91115 13.1192i −0.304500 0.504957i
\(676\) −0.969739 11.2905i −0.0372977 0.434249i
\(677\) −24.9094 + 14.0670i −0.957347 + 0.540639i −0.889439 0.457053i \(-0.848905\pi\)
−0.0679073 + 0.997692i \(0.521632\pi\)
\(678\) 21.7931 17.8201i 0.836957 0.684376i
\(679\) −4.05338 + 1.99291i −0.155554 + 0.0764809i
\(680\) −0.285432 + 3.32323i −0.0109458 + 0.127440i
\(681\) −4.57581 10.0196i −0.175345 0.383953i
\(682\) 0.776487 + 2.63926i 0.0297332 + 0.101062i
\(683\) −18.3336 + 40.1450i −0.701517 + 1.53611i 0.136606 + 0.990625i \(0.456380\pi\)
−0.838123 + 0.545482i \(0.816347\pi\)
\(684\) −2.59593 1.46599i −0.0992580 0.0560536i
\(685\) −11.1096 + 1.92259i −0.424475 + 0.0734583i
\(686\) 6.15606 18.9464i 0.235039 0.723377i
\(687\) −18.2431 23.6581i −0.696017 0.902611i
\(688\) 9.15083 + 0.523263i 0.348872 + 0.0199492i
\(689\) 0.198632 6.95302i 0.00756727 0.264889i
\(690\) −0.213980 7.49027i −0.00814607 0.285150i
\(691\) −29.5044 + 1.68712i −1.12240 + 0.0641812i −0.608417 0.793618i \(-0.708195\pi\)
−0.513985 + 0.857799i \(0.671831\pi\)
\(692\) −6.04805 6.97982i −0.229912 0.265333i
\(693\) 2.09719 9.04049i 0.0796656 0.343420i
\(694\) −18.7456 + 21.6335i −0.711572 + 0.821198i
\(695\) −3.37985 + 4.38307i −0.128205 + 0.166259i
\(696\) −1.80537 2.64028i −0.0684325 0.100079i
\(697\) −2.91282 + 1.23097i −0.110331 + 0.0466262i
\(698\) 32.7203 + 11.6746i 1.23848 + 0.441889i
\(699\) −5.64654 4.10245i −0.213572 0.155169i
\(700\) 7.16164 + 6.57290i 0.270685 + 0.248432i
\(701\) 19.9731 + 8.44069i 0.754372 + 0.318800i 0.732324 0.680956i \(-0.238436\pi\)
0.0220486 + 0.999757i \(0.492981\pi\)
\(702\) 0.950008 + 4.68847i 0.0358557 + 0.176955i
\(703\) 16.3862 + 10.5308i 0.618017 + 0.397175i
\(704\) −0.752930 3.23003i −0.0283771 0.121736i
\(705\) −10.2642 + 6.59639i −0.386572 + 0.248435i
\(706\) 14.4768 + 14.8962i 0.544841 + 0.560628i
\(707\) −6.09495 + 10.1073i −0.229224 + 0.380125i
\(708\) 24.6443 + 12.1168i 0.926191 + 0.455378i
\(709\) −5.85954 + 1.36258i −0.220060 + 0.0511727i −0.335077 0.942191i \(-0.608762\pi\)
0.115017 + 0.993364i \(0.463308\pi\)
\(710\) −5.23405 13.4435i −0.196430 0.504527i
\(711\) 4.56720 0.524037i 0.171283 0.0196529i
\(712\) −8.99352 + 8.25418i −0.337047 + 0.309339i
\(713\) −3.07659 + 1.09773i −0.115219 + 0.0411101i
\(714\) −16.5651 4.86396i −0.619934 0.182029i
\(715\) 3.28542 2.24909i 0.122868 0.0841112i
\(716\) 16.7422 4.91597i 0.625687 0.183718i
\(717\) 39.3804 28.6115i 1.47069 1.06852i
\(718\) −24.8786 2.85455i −0.928459 0.106531i
\(719\) −11.8450 45.0630i −0.441743 1.68057i −0.699722 0.714415i \(-0.746693\pi\)
0.257979 0.966151i \(-0.416944\pi\)
\(720\) 0.771280 0.793628i 0.0287439 0.0295768i
\(721\) 5.49336 27.1108i 0.204583 1.00966i
\(722\) −7.18522 + 10.5081i −0.267406 + 0.391069i
\(723\) −16.6216 51.1560i −0.618163 1.90251i
\(724\) −1.16848 2.21452i −0.0434263 0.0823020i
\(725\) −6.46234 −0.240005
\(726\) 3.22845 + 22.2854i 0.119819 + 0.827088i
\(727\) 28.6303 1.06184 0.530919 0.847422i \(-0.321847\pi\)
0.530919 + 0.847422i \(0.321847\pi\)
\(728\) −1.41651 2.68458i −0.0524992 0.0994971i
\(729\) 2.92561 + 9.00409i 0.108356 + 0.333485i
\(730\) −0.990864 + 1.44909i −0.0366735 + 0.0536333i
\(731\) −6.53169 + 32.2352i −0.241583 + 1.19226i
\(732\) −1.60267 + 1.64911i −0.0592364 + 0.0609528i
\(733\) −8.24719 31.3756i −0.304617 1.15888i −0.926660 0.375900i \(-0.877333\pi\)
0.622043 0.782983i \(-0.286303\pi\)
\(734\) 30.5235 + 3.50225i 1.12664 + 0.129270i
\(735\) −2.27251 + 1.65108i −0.0838228 + 0.0609008i
\(736\) 3.77851 1.10947i 0.139278 0.0408956i
\(737\) 3.14338 1.02320i 0.115788 0.0376901i
\(738\) 1.00670 + 0.295593i 0.0370570 + 0.0108809i
\(739\) 3.19725 1.14078i 0.117613 0.0419641i −0.276587 0.960989i \(-0.589204\pi\)
0.394200 + 0.919025i \(0.371022\pi\)
\(740\) −5.32699 + 4.88907i −0.195824 + 0.179726i
\(741\) 6.57707 0.754649i 0.241615 0.0277227i
\(742\) 4.59253 + 11.7958i 0.168597 + 0.433038i
\(743\) 24.7477 5.75483i 0.907905 0.211124i 0.253559 0.967320i \(-0.418399\pi\)
0.654346 + 0.756195i \(0.272944\pi\)
\(744\) −1.52382 0.749213i −0.0558660 0.0274675i
\(745\) −9.23865 + 15.3206i −0.338478 + 0.561303i
\(746\) −12.7281 13.0969i −0.466007 0.479510i
\(747\) 8.38709 5.39006i 0.306868 0.197212i
\(748\) 11.8571 1.02478i 0.433538 0.0374698i
\(749\) −16.8812 10.8489i −0.616826 0.396410i
\(750\) −3.45231 17.0378i −0.126061 0.622133i
\(751\) −3.21128 1.35710i −0.117181 0.0495212i 0.329891 0.944019i \(-0.392988\pi\)
−0.447072 + 0.894498i \(0.647533\pi\)
\(752\) −4.72408 4.33572i −0.172269 0.158107i
\(753\) 43.2591 + 31.4296i 1.57645 + 1.14536i
\(754\) 1.90056 + 0.678119i 0.0692144 + 0.0246956i
\(755\) 15.7006 6.63512i 0.571402 0.241477i
\(756\) −4.91376 7.18615i −0.178712 0.261358i
\(757\) 1.24792 1.61833i 0.0453564 0.0588192i −0.768678 0.639636i \(-0.779085\pi\)
0.814034 + 0.580817i \(0.197267\pi\)
\(758\) 20.3200 23.4506i 0.738056 0.851762i
\(759\) −26.2016 + 5.32370i −0.951058 + 0.193238i
\(760\) 1.52423 + 1.75905i 0.0552895 + 0.0638075i
\(761\) 29.1909 1.66920i 1.05817 0.0605083i 0.480671 0.876901i \(-0.340393\pi\)
0.577497 + 0.816393i \(0.304029\pi\)
\(762\) 0.256923 + 8.99349i 0.00930735 + 0.325800i
\(763\) 0.653368 22.8709i 0.0236535 0.827981i
\(764\) 4.90870 + 0.280690i 0.177591 + 0.0101550i
\(765\) 2.42497 + 3.14476i 0.0876751 + 0.113699i
\(766\) −4.82900 + 14.8621i −0.174479 + 0.536991i
\(767\) −17.0718 + 2.95440i −0.616428 + 0.106677i
\(768\) 1.78250 + 1.00662i 0.0643203 + 0.0363234i
\(769\) −7.56899 + 16.5738i −0.272945 + 0.597666i −0.995617 0.0935252i \(-0.970186\pi\)
0.722672 + 0.691191i \(0.242914\pi\)
\(770\) −3.91400 + 6.09746i −0.141051 + 0.219737i
\(771\) −6.95099 15.2205i −0.250334 0.548155i
\(772\) 1.39323 16.2211i 0.0501435 0.583811i
\(773\) −0.0371290 + 0.0182551i −0.00133544 + 0.000656591i −0.441889 0.897070i \(-0.645691\pi\)
0.440553 + 0.897726i \(0.354782\pi\)
\(774\) 8.44791 6.90783i 0.303654 0.248297i
\(775\) −2.98733 + 1.68702i −0.107308 + 0.0605996i
\(776\) 0.164460 + 1.91478i 0.00590378 + 0.0687364i
\(777\) −19.3263 32.0490i −0.693326 1.14975i
\(778\) −6.58422 + 25.0490i −0.236056 + 0.898049i
\(779\) −0.800601 + 2.05633i −0.0286845 + 0.0736756i
\(780\) −0.349735 + 2.43246i −0.0125225 + 0.0870960i
\(781\) −44.0667 + 26.6053i −1.57683 + 0.952011i
\(782\) 2.01107 + 13.9873i 0.0719156 + 0.500184i
\(783\) 5.63702 + 1.31083i 0.201451 + 0.0468454i
\(784\) −1.14281 0.934469i −0.0408145 0.0333739i
\(785\) 14.7546 + 2.55338i 0.526613 + 0.0911339i
\(786\) 10.0224 18.9946i 0.357487 0.677513i
\(787\) −1.56186 + 2.96005i −0.0556742 + 0.105514i −0.910695 0.413079i \(-0.864453\pi\)
0.855021 + 0.518594i \(0.173544\pi\)
\(788\) 15.5118 + 2.68443i 0.552586 + 0.0956288i
\(789\) 35.8851 + 29.3431i 1.27754 + 1.04464i
\(790\) −3.49585 0.812926i −0.124377 0.0289226i
\(791\) −4.59969 31.9915i −0.163546 1.13749i
\(792\) −3.26074 2.22709i −0.115866 0.0791361i
\(793\) 0.206470 1.43603i 0.00733195 0.0509948i
\(794\) −8.56281 + 21.9934i −0.303883 + 0.780517i
\(795\) 2.60531 9.91164i 0.0924009 0.351530i
\(796\) −5.56467 9.22798i −0.197235 0.327077i
\(797\) 2.76295 + 32.1685i 0.0978688 + 1.13947i 0.866297 + 0.499530i \(0.166494\pi\)
−0.768428 + 0.639936i \(0.778961\pi\)
\(798\) −10.4903 + 5.92416i −0.371354 + 0.209713i
\(799\) 17.8123 14.5651i 0.630154 0.515275i
\(800\) 3.71163 1.82489i 0.131226 0.0645195i
\(801\) −1.24372 + 14.4803i −0.0439446 + 0.511638i
\(802\) 12.5912 + 27.5708i 0.444609 + 0.973559i
\(803\) 5.69906 + 2.59900i 0.201116 + 0.0917166i
\(804\) −0.847596 + 1.85598i −0.0298924 + 0.0654552i
\(805\) −7.49112 4.23043i −0.264027 0.149103i
\(806\) 1.05559 0.182678i 0.0371817 0.00643455i
\(807\) 11.3916 35.0598i 0.401003 1.23416i
\(808\) 3.06661 + 3.97685i 0.107883 + 0.139905i
\(809\) −55.3441 3.16469i −1.94580 0.111265i −0.960085 0.279709i \(-0.909762\pi\)
−0.985711 + 0.168444i \(0.946126\pi\)
\(810\) −0.296072 + 10.3639i −0.0104029 + 0.364149i
\(811\) −1.31674 46.0918i −0.0462369 1.61850i −0.609887 0.792488i \(-0.708785\pi\)
0.563651 0.826013i \(-0.309396\pi\)
\(812\) −3.66622 + 0.209642i −0.128659 + 0.00735700i
\(813\) 22.1805 + 25.5977i 0.777906 + 0.897751i
\(814\) 20.4388 + 15.7433i 0.716379 + 0.551801i
\(815\) −9.66662 + 11.1559i −0.338607 + 0.390773i
\(816\) −4.48565 + 5.81710i −0.157029 + 0.203639i
\(817\) 12.9548 + 18.9459i 0.453232 + 0.662831i
\(818\) 9.31456 3.93637i 0.325676 0.137632i
\(819\) −3.40369 1.21443i −0.118935 0.0424358i
\(820\) −0.662695 0.481476i −0.0231423 0.0168139i
\(821\) −37.8478 34.7364i −1.32090 1.21231i −0.960098 0.279663i \(-0.909777\pi\)
−0.360798 0.932644i \(-0.617496\pi\)
\(822\) −22.8719 9.66573i −0.797748 0.337131i
\(823\) −5.13308 25.3327i −0.178928 0.883043i −0.964461 0.264224i \(-0.914884\pi\)
0.785533 0.618819i \(-0.212389\pi\)
\(824\) −9.90122 6.36313i −0.344925 0.221670i
\(825\) −26.1623 + 10.2020i −0.910854 + 0.355188i
\(826\) 26.5240 17.0460i 0.922889 0.593105i
\(827\) −1.03241 1.06232i −0.0359003 0.0369406i 0.698944 0.715177i \(-0.253654\pi\)
−0.734844 + 0.678236i \(0.762745\pi\)
\(828\) 2.42116 4.01504i 0.0841410 0.139532i
\(829\) 35.7462 + 17.5752i 1.24152 + 0.610412i 0.939388 0.342855i \(-0.111394\pi\)
0.302128 + 0.953268i \(0.402303\pi\)
\(830\) −7.58137 + 1.76297i −0.263153 + 0.0611937i
\(831\) 4.67456 + 12.0065i 0.162159 + 0.416501i
\(832\) −1.28308 + 0.147219i −0.0444827 + 0.00510392i
\(833\) 3.90270 3.58187i 0.135221 0.124104i
\(834\) −11.4806 + 4.09627i −0.397540 + 0.141842i
\(835\) 15.1907 + 4.46041i 0.525697 + 0.154359i
\(836\) 5.25372 6.43204i 0.181704 0.222457i
\(837\) 2.94801 0.865615i 0.101898 0.0299200i
\(838\) −7.27615 + 5.28643i −0.251351 + 0.182617i
\(839\) −6.23759 0.715696i −0.215345 0.0247086i 0.00564727 0.999984i \(-0.498202\pi\)
−0.220993 + 0.975275i \(0.570930\pi\)
\(840\) −1.13690 4.32520i −0.0392266 0.149234i
\(841\) −18.5098 + 19.0461i −0.638268 + 0.656762i
\(842\) −1.99463 + 9.84389i −0.0687395 + 0.339243i
\(843\) −18.9204 + 27.6702i −0.651653 + 0.953012i
\(844\) 6.53929 + 20.1259i 0.225092 + 0.692761i
\(845\) 4.91557 + 9.31604i 0.169101 + 0.320482i
\(846\) −7.63417 −0.262468
\(847\) 23.8245 + 10.0384i 0.818621 + 0.344922i
\(848\) 5.38589 0.184952
\(849\) 26.2727 + 49.7922i 0.901676 + 1.70887i
\(850\) 4.58627 + 14.1151i 0.157308 + 0.484144i
\(851\) −17.2905 + 25.2866i −0.592711 + 0.866812i
\(852\) 6.30955 31.1389i 0.216162 1.06680i
\(853\) 6.24637 6.42736i 0.213872 0.220069i −0.601704 0.798719i \(-0.705511\pi\)
0.815576 + 0.578650i \(0.196420\pi\)
\(854\) 0.671178 + 2.55343i 0.0229672 + 0.0873764i
\(855\) 2.75309 + 0.315888i 0.0941537 + 0.0108031i
\(856\) −6.90743 + 5.01854i −0.236091 + 0.171530i
\(857\) −4.19044 + 1.23042i −0.143143 + 0.0420305i −0.352519 0.935805i \(-0.614675\pi\)
0.209376 + 0.977835i \(0.432857\pi\)
\(858\) 8.76482 0.255074i 0.299226 0.00870810i
\(859\) −46.9665 13.7906i −1.60248 0.470529i −0.646242 0.763133i \(-0.723660\pi\)
−0.956234 + 0.292604i \(0.905478\pi\)
\(860\) −8.02430 + 2.86306i −0.273626 + 0.0976297i
\(861\) 3.12369 2.86689i 0.106455 0.0977035i
\(862\) −23.7789 + 2.72837i −0.809912 + 0.0929287i
\(863\) 17.5128 + 44.9813i 0.596143 + 1.53118i 0.829336 + 0.558750i \(0.188719\pi\)
−0.233193 + 0.972431i \(0.574917\pi\)
\(864\) −3.60778 + 0.838953i −0.122739 + 0.0285418i
\(865\) 7.70389 + 3.78775i 0.261940 + 0.128787i
\(866\) 13.0535 21.6467i 0.443575 0.735586i
\(867\) 5.88307 + 6.05354i 0.199800 + 0.205589i
\(868\) −1.64005 + 1.05399i −0.0556669 + 0.0357749i
\(869\) −0.724275 + 12.7859i −0.0245693 + 0.433732i
\(870\) 2.50111 + 1.60736i 0.0847955 + 0.0544948i
\(871\) −0.255635 1.26161i −0.00866187 0.0427480i
\(872\) −8.96726 3.78959i −0.303670 0.128332i
\(873\) 1.68573 + 1.54715i 0.0570534 + 0.0523631i
\(874\) 7.97772 + 5.79615i 0.269850 + 0.196058i
\(875\) −18.7980 6.70711i −0.635488 0.226742i
\(876\) −3.56115 + 1.50496i −0.120320 + 0.0508478i
\(877\) 0.741112 + 1.08384i 0.0250256 + 0.0365988i 0.837782 0.546005i \(-0.183852\pi\)
−0.812756 + 0.582604i \(0.802034\pi\)
\(878\) 14.6014 18.9355i 0.492775 0.639042i
\(879\) −3.72732 + 4.30155i −0.125719 + 0.145088i
\(880\) 1.81340 + 2.49312i 0.0611295 + 0.0840432i
\(881\) 10.4652 + 12.0775i 0.352581 + 0.406900i 0.904140 0.427235i \(-0.140512\pi\)
−0.551559 + 0.834136i \(0.685967\pi\)
\(882\) −1.75470 + 0.100337i −0.0590839 + 0.00337854i
\(883\) 0.165805 + 5.80395i 0.00557980 + 0.195318i 0.997600 + 0.0692398i \(0.0220574\pi\)
−0.992020 + 0.126079i \(0.959761\pi\)
\(884\) 0.132339 4.63248i 0.00445105 0.155807i
\(885\) −25.4848 1.45727i −0.856663 0.0489858i
\(886\) −5.51385 7.15049i −0.185242 0.240226i
\(887\) 16.3115 50.2017i 0.547687 1.68561i −0.166826 0.985986i \(-0.553352\pi\)
0.714513 0.699622i \(-0.246648\pi\)
\(888\) −15.6905 + 2.71536i −0.526540 + 0.0911214i
\(889\) 8.99451 + 5.07944i 0.301666 + 0.170359i
\(890\) 4.71363 10.3214i 0.158001 0.345975i
\(891\) 36.6151 5.28442i 1.22665 0.177035i
\(892\) −9.25687 20.2697i −0.309943 0.678680i
\(893\) 1.37401 15.9974i 0.0459796 0.535331i
\(894\) −35.3581 + 17.3844i −1.18255 + 0.581421i
\(895\) −12.5560 + 10.2670i −0.419700 + 0.343187i
\(896\) 2.04649 1.15571i 0.0683684 0.0386094i
\(897\) 0.890956 + 10.3732i 0.0297481 + 0.346351i
\(898\) −1.18135 1.95906i −0.0394223 0.0653745i
\(899\) 0.329479 1.25347i 0.0109888 0.0418056i
\(900\) 1.78655 4.58873i 0.0595518 0.152958i
\(901\) −2.75046 + 19.1299i −0.0916311 + 0.637308i
\(902\) −1.28818 + 2.62357i −0.0428918 + 0.0873554i
\(903\) −6.27588 43.6497i −0.208848 1.45257i
\(904\) −13.3944 3.11474i −0.445493 0.103595i
\(905\) 1.80175 + 1.47328i 0.0598921 + 0.0489735i
\(906\) 36.9886 + 6.40114i 1.22887 + 0.212664i
\(907\) 18.1434 34.3855i 0.602441 1.14175i −0.374296 0.927309i \(-0.622116\pi\)
0.976737 0.214443i \(-0.0687935\pi\)
\(908\) −2.51105 + 4.75897i −0.0833322 + 0.157932i
\(909\) 5.89142 + 1.01955i 0.195406 + 0.0338163i
\(910\) 2.18419 + 1.78600i 0.0724051 + 0.0592054i
\(911\) −26.9830 6.27463i −0.893987 0.207888i −0.245756 0.969332i \(-0.579036\pi\)
−0.648231 + 0.761444i \(0.724491\pi\)
\(912\) 0.729508 + 5.07384i 0.0241564 + 0.168012i
\(913\) 10.8248 + 25.5765i 0.358249 + 0.846459i
\(914\) 0.887727 6.17428i 0.0293634 0.204227i
\(915\) 0.775506 1.99187i 0.0256374 0.0658492i
\(916\) −3.71003 + 14.1144i −0.122583 + 0.466353i
\(917\) −12.7329 21.1152i −0.420479 0.697286i
\(918\) −1.13742 13.2427i −0.0375404 0.437075i
\(919\) 6.45874 3.64742i 0.213054 0.120317i −0.381512 0.924364i \(-0.624597\pi\)
0.594566 + 0.804047i \(0.297324\pi\)
\(920\) −2.83373 + 2.31713i −0.0934251 + 0.0763934i
\(921\) 6.11346 3.00579i 0.201445 0.0990440i
\(922\) 1.30729 15.2205i 0.0430533 0.501261i
\(923\) 8.32680 + 18.2331i 0.274080 + 0.600151i
\(924\) −14.5115 + 6.63653i −0.477392 + 0.218326i
\(925\) −13.3651 + 29.2654i −0.439440 + 0.962240i
\(926\) −29.0347 16.3967i −0.954140 0.538828i
\(927\) −13.8075 + 2.38947i −0.453496 + 0.0784806i
\(928\) −0.482828 + 1.48599i −0.0158496 + 0.0487800i
\(929\) 0.974810 + 1.26416i 0.0319825 + 0.0414756i 0.807622 0.589701i \(-0.200754\pi\)
−0.775639 + 0.631176i \(0.782572\pi\)
\(930\) 1.57579 + 0.0901070i 0.0516722 + 0.00295472i
\(931\) 0.105558 3.69503i 0.00345954 0.121100i
\(932\) 0.0973611 + 3.40808i 0.00318917 + 0.111636i
\(933\) −23.3754 + 1.33665i −0.765275 + 0.0437600i
\(934\) 2.54628 + 2.93856i 0.0833167 + 0.0961526i
\(935\) −9.78127 + 5.16772i −0.319882 + 0.169003i
\(936\) −1.00694 + 1.16207i −0.0329127 + 0.0379833i
\(937\) 18.9773 24.6102i 0.619960 0.803979i −0.372306 0.928110i \(-0.621433\pi\)
0.992266 + 0.124132i \(0.0396145\pi\)
\(938\) 1.32223 + 1.93370i 0.0431724 + 0.0631376i
\(939\) −33.1919 + 14.0270i −1.08318 + 0.457754i
\(940\) 5.61358 + 2.00292i 0.183095 + 0.0653280i
\(941\) 1.26293 + 0.917569i 0.0411702 + 0.0299119i 0.608180 0.793799i \(-0.291900\pi\)
−0.567010 + 0.823711i \(0.691900\pi\)
\(942\) 24.2956 + 22.2983i 0.791593 + 0.726518i
\(943\) −3.19664 1.35091i −0.104097 0.0439918i
\(944\) −2.66412 13.1479i −0.0867096 0.427929i
\(945\) 6.80737 + 4.37483i 0.221444 + 0.142313i
\(946\) 14.9625 + 26.4622i 0.486474 + 0.860361i
\(947\) 32.6514 20.9838i 1.06103 0.681882i 0.110930 0.993828i \(-0.464617\pi\)
0.950100 + 0.311946i \(0.100981\pi\)
\(948\) −5.50886 5.66848i −0.178919 0.184104i
\(949\) 1.25954 2.08872i 0.0408865 0.0678026i
\(950\) 9.29410 + 4.56960i 0.301541 + 0.148258i
\(951\) 7.78700 1.81079i 0.252511 0.0587188i
\(952\) 3.05979 + 7.85902i 0.0991685 + 0.254712i
\(953\) 26.9381 3.09086i 0.872610 0.100123i 0.333894 0.942610i \(-0.391637\pi\)
0.538715 + 0.842488i \(0.318910\pi\)
\(954\) 4.72424 4.33587i 0.152953 0.140379i
\(955\) −4.30440 + 1.53581i −0.139287 + 0.0496976i
\(956\) −22.8153 6.69919i −0.737901 0.216667i
\(957\) 4.12425 9.77370i 0.133318 0.315939i
\(958\) 16.8968 4.96134i 0.545910 0.160294i
\(959\) −23.0633 + 16.7565i −0.744754 + 0.541095i
\(960\) −1.89041 0.216904i −0.0610127 0.00700055i
\(961\) 7.70585 + 29.3161i 0.248576 + 0.945681i
\(962\) 7.00157 7.20445i 0.225740 0.232281i
\(963\) −2.01872 + 9.96279i −0.0650525 + 0.321047i
\(964\) −14.8311 + 21.6898i −0.477677 + 0.698581i
\(965\) 4.67646 + 14.3927i 0.150541 + 0.463316i
\(966\) −8.84182 16.7571i −0.284481 0.539151i
\(967\) 14.7514 0.474373 0.237187 0.971464i \(-0.423775\pi\)
0.237187 + 0.971464i \(0.423775\pi\)
\(968\) 7.65788 7.89663i 0.246134 0.253807i
\(969\) −18.3941 −0.590902
\(970\) −0.833642 1.57993i −0.0267666 0.0507284i
\(971\) −9.81316 30.2018i −0.314919 0.969222i −0.975788 0.218720i \(-0.929812\pi\)
0.660868 0.750502i \(-0.270188\pi\)
\(972\) −6.61622 + 9.67591i −0.212215 + 0.310355i
\(973\) −2.77923 + 13.7160i −0.0890980 + 0.439716i
\(974\) −13.2264 + 13.6096i −0.423801 + 0.436081i
\(975\) 2.77982 + 10.5755i 0.0890256 + 0.338688i
\(976\) 1.11602 + 0.128052i 0.0357230 + 0.00409883i
\(977\) −3.52028 + 2.55763i −0.112624 + 0.0818259i −0.642671 0.766142i \(-0.722174\pi\)
0.530048 + 0.847968i \(0.322174\pi\)
\(978\) −31.1922 + 9.15886i −0.997417 + 0.292868i
\(979\) −39.1620 10.2715i −1.25162 0.328279i
\(980\) 1.31660 + 0.386588i 0.0420571 + 0.0123491i
\(981\) −10.9164 + 3.89497i −0.348535 + 0.124357i
\(982\) −11.8476 + 10.8737i −0.378073 + 0.346993i
\(983\) −14.1880 + 1.62792i −0.452527 + 0.0519226i −0.337259 0.941412i \(-0.609500\pi\)
−0.115268 + 0.993334i \(0.536773\pi\)
\(984\) −0.654502 1.68107i −0.0208648 0.0535907i
\(985\) −14.2526 + 3.31430i −0.454125 + 0.105602i
\(986\) −5.03145 2.47380i −0.160234 0.0787817i
\(987\) −15.9309 + 26.4185i −0.507087 + 0.840910i
\(988\) −2.25387 2.31918i −0.0717052 0.0737829i
\(989\) −30.3651 + 19.5145i −0.965555 + 0.620524i
\(990\) 3.59769 + 0.726987i 0.114342 + 0.0231052i
\(991\) −17.5027 11.2483i −0.555990 0.357313i 0.232274 0.972650i \(-0.425383\pi\)
−0.788264 + 0.615337i \(0.789020\pi\)
\(992\) 0.164729 + 0.812970i 0.00523015 + 0.0258118i
\(993\) 19.5367 + 8.25626i 0.619977 + 0.262005i
\(994\) −26.8742 24.6649i −0.852398 0.782324i
\(995\) 8.10348 + 5.88753i 0.256898 + 0.186647i
\(996\) −16.1451 5.76057i −0.511578 0.182531i
\(997\) −45.3965 + 19.1847i −1.43772 + 0.607586i −0.962255 0.272148i \(-0.912266\pi\)
−0.475466 + 0.879734i \(0.657721\pi\)
\(998\) 1.84946 + 2.70475i 0.0585437 + 0.0856175i
\(999\) 17.5944 22.8169i 0.556663 0.721894i
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 242.2.g.a.25.2 200
121.92 even 55 inner 242.2.g.a.213.2 yes 200
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
242.2.g.a.25.2 200 1.1 even 1 trivial
242.2.g.a.213.2 yes 200 121.92 even 55 inner