Properties

Label 345.2.m.c.16.4
Level $345$
Weight $2$
Character 345.16
Analytic conductor $2.755$
Analytic rank $0$
Dimension $50$
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] = [345,2,Mod(16,345)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(345, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([0, 0, 8]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("345.16");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 345 = 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 345.m (of order \(11\), degree \(10\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(2.75483886973\)
Analytic rank: \(0\)
Dimension: \(50\)
Relative dimension: \(5\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 16.4
Character \(\chi\) \(=\) 345.16
Dual form 345.2.m.c.151.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.707484 - 0.816480i) q^{2} +(0.841254 - 0.540641i) q^{3} +(0.118524 + 0.824351i) q^{4} +(-0.415415 - 0.909632i) q^{5} +(0.153751 - 1.06936i) q^{6} +(2.39967 - 0.704607i) q^{7} +(2.57463 + 1.65461i) q^{8} +(0.415415 - 0.909632i) q^{9} +O(q^{10})\) \(q+(0.707484 - 0.816480i) q^{2} +(0.841254 - 0.540641i) q^{3} +(0.118524 + 0.824351i) q^{4} +(-0.415415 - 0.909632i) q^{5} +(0.153751 - 1.06936i) q^{6} +(2.39967 - 0.704607i) q^{7} +(2.57463 + 1.65461i) q^{8} +(0.415415 - 0.909632i) q^{9} +(-1.03660 - 0.304372i) q^{10} +(2.02946 + 2.34213i) q^{11} +(0.545386 + 0.629409i) q^{12} +(-4.85120 - 1.42444i) q^{13} +(1.12243 - 2.45778i) q^{14} +(-0.841254 - 0.540641i) q^{15} +(1.57428 - 0.462250i) q^{16} +(-0.628124 + 4.36869i) q^{17} +(-0.448797 - 0.982728i) q^{18} +(-1.19141 - 8.28644i) q^{19} +(0.700619 - 0.450261i) q^{20} +(1.63779 - 1.89011i) q^{21} +3.34811 q^{22} +(4.64395 - 1.19739i) q^{23} +3.06047 q^{24} +(-0.654861 + 0.755750i) q^{25} +(-4.59517 + 2.95314i) q^{26} +(-0.142315 - 0.989821i) q^{27} +(0.865261 + 1.89466i) q^{28} +(0.149528 - 1.03999i) q^{29} +(-1.03660 + 0.304372i) q^{30} +(-4.73204 - 3.04109i) q^{31} +(-1.80637 + 3.95539i) q^{32} +(2.97354 + 0.873111i) q^{33} +(3.12256 + 3.60363i) q^{34} +(-1.63779 - 1.89011i) q^{35} +(0.799093 + 0.234635i) q^{36} +(-2.68007 + 5.86853i) q^{37} +(-7.60861 - 4.88976i) q^{38} +(-4.85120 + 1.42444i) q^{39} +(0.435550 - 3.02932i) q^{40} +(1.30560 + 2.85886i) q^{41} +(-0.384527 - 2.67445i) q^{42} +(-9.78386 + 6.28770i) q^{43} +(-1.69019 + 1.95059i) q^{44} -1.00000 q^{45} +(2.30787 - 4.63882i) q^{46} +8.62851 q^{47} +(1.07446 - 1.23999i) q^{48} +(-0.626829 + 0.402839i) q^{49} +(0.153751 + 1.06936i) q^{50} +(1.83348 + 4.01477i) q^{51} +(0.599256 - 4.16792i) q^{52} +(-8.97083 + 2.63407i) q^{53} +(-0.908854 - 0.584085i) q^{54} +(1.28740 - 2.81902i) q^{55} +(7.34411 + 2.15643i) q^{56} +(-5.48226 - 6.32687i) q^{57} +(-0.743341 - 0.857862i) q^{58} +(-10.9224 - 3.20709i) q^{59} +(0.345969 - 0.757567i) q^{60} +(10.1067 + 6.49516i) q^{61} +(-5.83083 + 1.71209i) q^{62} +(0.355926 - 2.47552i) q^{63} +(3.31470 + 7.25818i) q^{64} +(0.719544 + 5.00454i) q^{65} +(2.81661 - 1.81013i) q^{66} +(-4.59576 + 5.30379i) q^{67} -3.67579 q^{68} +(3.25938 - 3.51802i) q^{69} -2.70195 q^{70} +(4.10360 - 4.73581i) q^{71} +(2.57463 - 1.65461i) q^{72} +(-2.20088 - 15.3074i) q^{73} +(2.89543 + 6.34011i) q^{74} +(-0.142315 + 0.989821i) q^{75} +(6.68972 - 1.96428i) q^{76} +(6.52032 + 4.19036i) q^{77} +(-2.26912 + 4.96867i) q^{78} +(6.46832 + 1.89927i) q^{79} +(-1.07446 - 1.23999i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(3.25789 + 0.956604i) q^{82} +(-5.93120 + 12.9875i) q^{83} +(1.75223 + 1.12609i) q^{84} +(4.23484 - 1.24346i) q^{85} +(-1.78814 + 12.4368i) q^{86} +(-0.436470 - 0.955735i) q^{87} +(1.34980 + 9.38808i) q^{88} +(-4.99424 + 3.20960i) q^{89} +(-0.707484 + 0.816480i) q^{90} -12.6449 q^{91} +(1.53749 + 3.68632i) q^{92} -5.62498 q^{93} +(6.10453 - 7.04500i) q^{94} +(-7.04268 + 4.52606i) q^{95} +(0.618834 + 4.30409i) q^{96} +(-4.84371 - 10.6062i) q^{97} +(-0.114562 + 0.796795i) q^{98} +(2.97354 - 0.873111i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 50 q - 5 q^{3} - 4 q^{4} + 5 q^{5} - 11 q^{6} - 3 q^{7} - 5 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 50 q - 5 q^{3} - 4 q^{4} + 5 q^{5} - 11 q^{6} - 3 q^{7} - 5 q^{9} + 15 q^{11} - 4 q^{12} - 19 q^{13} + 55 q^{14} + 5 q^{15} + 12 q^{16} + 5 q^{17} - 11 q^{19} + 4 q^{20} + 8 q^{21} - 18 q^{22} + 14 q^{23} + 66 q^{24} - 5 q^{25} - 18 q^{26} - 5 q^{27} + 10 q^{28} - 22 q^{29} + 6 q^{31} + 33 q^{32} + 4 q^{33} + 18 q^{34} - 8 q^{35} - 15 q^{36} + 25 q^{37} - 97 q^{38} - 19 q^{39} + 22 q^{40} - 42 q^{41} - 11 q^{42} - 25 q^{43} + 25 q^{44} - 50 q^{45} - 44 q^{46} + 86 q^{47} - 10 q^{48} - 8 q^{49} - 11 q^{50} - 17 q^{51} - 67 q^{52} - 26 q^{53} - 4 q^{55} - 132 q^{56} + 22 q^{57} + 8 q^{58} - 76 q^{59} + 4 q^{60} + 13 q^{61} - 8 q^{62} + 8 q^{63} + 76 q^{64} + 8 q^{65} + 4 q^{66} + 84 q^{67} + 66 q^{68} + 25 q^{69} + 22 q^{70} + 55 q^{71} - 59 q^{73} + 17 q^{74} - 5 q^{75} + 82 q^{76} - 56 q^{77} - 7 q^{78} + 7 q^{79} + 10 q^{80} - 5 q^{81} - 150 q^{82} + 19 q^{83} + 10 q^{84} + 6 q^{85} + 44 q^{86} - 11 q^{87} - 62 q^{88} - 74 q^{89} - 56 q^{91} + 41 q^{92} + 28 q^{93} - 161 q^{94} + 11 q^{95} - 44 q^{96} - 68 q^{97} - 198 q^{98} + 4 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/345\mathbb{Z}\right)^\times\).

\(n\) \(116\) \(166\) \(277\)
\(\chi(n)\) \(1\) \(e\left(\frac{4}{11}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.707484 0.816480i 0.500266 0.577338i −0.448313 0.893876i \(-0.647975\pi\)
0.948580 + 0.316538i \(0.102521\pi\)
\(3\) 0.841254 0.540641i 0.485698 0.312139i
\(4\) 0.118524 + 0.824351i 0.0592619 + 0.412176i
\(5\) −0.415415 0.909632i −0.185779 0.406800i
\(6\) 0.153751 1.06936i 0.0627685 0.436565i
\(7\) 2.39967 0.704607i 0.906990 0.266316i 0.205217 0.978717i \(-0.434210\pi\)
0.701773 + 0.712400i \(0.252392\pi\)
\(8\) 2.57463 + 1.65461i 0.910269 + 0.584994i
\(9\) 0.415415 0.909632i 0.138472 0.303211i
\(10\) −1.03660 0.304372i −0.327800 0.0962508i
\(11\) 2.02946 + 2.34213i 0.611906 + 0.706178i 0.974149 0.225906i \(-0.0725343\pi\)
−0.362243 + 0.932084i \(0.617989\pi\)
\(12\) 0.545386 + 0.629409i 0.157439 + 0.181695i
\(13\) −4.85120 1.42444i −1.34548 0.395069i −0.471858 0.881674i \(-0.656417\pi\)
−0.873622 + 0.486606i \(0.838235\pi\)
\(14\) 1.12243 2.45778i 0.299982 0.656869i
\(15\) −0.841254 0.540641i −0.217211 0.139593i
\(16\) 1.57428 0.462250i 0.393570 0.115563i
\(17\) −0.628124 + 4.36869i −0.152342 + 1.05956i 0.759937 + 0.649996i \(0.225230\pi\)
−0.912280 + 0.409568i \(0.865680\pi\)
\(18\) −0.448797 0.982728i −0.105782 0.231631i
\(19\) −1.19141 8.28644i −0.273328 1.90104i −0.412814 0.910815i \(-0.635454\pi\)
0.139486 0.990224i \(-0.455455\pi\)
\(20\) 0.700619 0.450261i 0.156663 0.100681i
\(21\) 1.63779 1.89011i 0.357395 0.412456i
\(22\) 3.34811 0.713820
\(23\) 4.64395 1.19739i 0.968330 0.249673i
\(24\) 3.06047 0.624715
\(25\) −0.654861 + 0.755750i −0.130972 + 0.151150i
\(26\) −4.59517 + 2.95314i −0.901187 + 0.579157i
\(27\) −0.142315 0.989821i −0.0273885 0.190491i
\(28\) 0.865261 + 1.89466i 0.163519 + 0.358057i
\(29\) 0.149528 1.03999i 0.0277666 0.193121i −0.971217 0.238197i \(-0.923444\pi\)
0.998984 + 0.0450755i \(0.0143528\pi\)
\(30\) −1.03660 + 0.304372i −0.189256 + 0.0555704i
\(31\) −4.73204 3.04109i −0.849899 0.546197i 0.0416444 0.999132i \(-0.486740\pi\)
−0.891543 + 0.452936i \(0.850377\pi\)
\(32\) −1.80637 + 3.95539i −0.319324 + 0.699222i
\(33\) 2.97354 + 0.873111i 0.517627 + 0.151989i
\(34\) 3.12256 + 3.60363i 0.535515 + 0.618017i
\(35\) −1.63779 1.89011i −0.276837 0.319487i
\(36\) 0.799093 + 0.234635i 0.133182 + 0.0391058i
\(37\) −2.68007 + 5.86853i −0.440600 + 0.964780i 0.550887 + 0.834580i \(0.314289\pi\)
−0.991488 + 0.130201i \(0.958438\pi\)
\(38\) −7.60861 4.88976i −1.23428 0.793223i
\(39\) −4.85120 + 1.42444i −0.776813 + 0.228093i
\(40\) 0.435550 3.02932i 0.0688665 0.478977i
\(41\) 1.30560 + 2.85886i 0.203900 + 0.446480i 0.983763 0.179471i \(-0.0574385\pi\)
−0.779863 + 0.625950i \(0.784711\pi\)
\(42\) −0.384527 2.67445i −0.0593339 0.412676i
\(43\) −9.78386 + 6.28770i −1.49202 + 0.958866i −0.496139 + 0.868243i \(0.665249\pi\)
−0.995885 + 0.0906226i \(0.971114\pi\)
\(44\) −1.69019 + 1.95059i −0.254806 + 0.294062i
\(45\) −1.00000 −0.149071
\(46\) 2.30787 4.63882i 0.340277 0.683957i
\(47\) 8.62851 1.25860 0.629299 0.777163i \(-0.283342\pi\)
0.629299 + 0.777163i \(0.283342\pi\)
\(48\) 1.07446 1.23999i 0.155085 0.178977i
\(49\) −0.626829 + 0.402839i −0.0895470 + 0.0575484i
\(50\) 0.153751 + 1.06936i 0.0217437 + 0.151230i
\(51\) 1.83348 + 4.01477i 0.256739 + 0.562180i
\(52\) 0.599256 4.16792i 0.0831019 0.577986i
\(53\) −8.97083 + 2.63407i −1.23224 + 0.361818i −0.832094 0.554635i \(-0.812858\pi\)
−0.400144 + 0.916452i \(0.631040\pi\)
\(54\) −0.908854 0.584085i −0.123679 0.0794839i
\(55\) 1.28740 2.81902i 0.173593 0.380117i
\(56\) 7.34411 + 2.15643i 0.981398 + 0.288164i
\(57\) −5.48226 6.32687i −0.726144 0.838014i
\(58\) −0.743341 0.857862i −0.0976055 0.112643i
\(59\) −10.9224 3.20709i −1.42197 0.417528i −0.521800 0.853068i \(-0.674739\pi\)
−0.900169 + 0.435540i \(0.856557\pi\)
\(60\) 0.345969 0.757567i 0.0446644 0.0978015i
\(61\) 10.1067 + 6.49516i 1.29403 + 0.831620i 0.992548 0.121854i \(-0.0388839\pi\)
0.301477 + 0.953473i \(0.402520\pi\)
\(62\) −5.83083 + 1.71209i −0.740516 + 0.217435i
\(63\) 0.355926 2.47552i 0.0448425 0.311886i
\(64\) 3.31470 + 7.25818i 0.414338 + 0.907273i
\(65\) 0.719544 + 5.00454i 0.0892484 + 0.620736i
\(66\) 2.81661 1.81013i 0.346701 0.222811i
\(67\) −4.59576 + 5.30379i −0.561461 + 0.647961i −0.963515 0.267655i \(-0.913751\pi\)
0.402054 + 0.915616i \(0.368297\pi\)
\(68\) −3.67579 −0.445754
\(69\) 3.25938 3.51802i 0.392383 0.423520i
\(70\) −2.70195 −0.322945
\(71\) 4.10360 4.73581i 0.487008 0.562037i −0.458056 0.888923i \(-0.651454\pi\)
0.945064 + 0.326886i \(0.105999\pi\)
\(72\) 2.57463 1.65461i 0.303423 0.194998i
\(73\) −2.20088 15.3074i −0.257593 1.79160i −0.549853 0.835262i \(-0.685316\pi\)
0.292259 0.956339i \(-0.405593\pi\)
\(74\) 2.89543 + 6.34011i 0.336587 + 0.737023i
\(75\) −0.142315 + 0.989821i −0.0164331 + 0.114295i
\(76\) 6.68972 1.96428i 0.767364 0.225318i
\(77\) 6.52032 + 4.19036i 0.743060 + 0.477535i
\(78\) −2.26912 + 4.96867i −0.256927 + 0.562591i
\(79\) 6.46832 + 1.89927i 0.727743 + 0.213685i 0.624559 0.780978i \(-0.285279\pi\)
0.103184 + 0.994662i \(0.467097\pi\)
\(80\) −1.07446 1.23999i −0.120128 0.138635i
\(81\) −0.654861 0.755750i −0.0727623 0.0839722i
\(82\) 3.25789 + 0.956604i 0.359774 + 0.105639i
\(83\) −5.93120 + 12.9875i −0.651034 + 1.42557i 0.239612 + 0.970869i \(0.422980\pi\)
−0.890646 + 0.454697i \(0.849748\pi\)
\(84\) 1.75223 + 1.12609i 0.191184 + 0.122867i
\(85\) 4.23484 1.24346i 0.459333 0.134872i
\(86\) −1.78814 + 12.4368i −0.192820 + 1.34109i
\(87\) −0.436470 0.955735i −0.0467945 0.102466i
\(88\) 1.34980 + 9.38808i 0.143889 + 1.00077i
\(89\) −4.99424 + 3.20960i −0.529388 + 0.340217i −0.777876 0.628418i \(-0.783703\pi\)
0.248488 + 0.968635i \(0.420066\pi\)
\(90\) −0.707484 + 0.816480i −0.0745753 + 0.0860645i
\(91\) −12.6449 −1.32555
\(92\) 1.53749 + 3.68632i 0.160294 + 0.384326i
\(93\) −5.62498 −0.583283
\(94\) 6.10453 7.04500i 0.629634 0.726637i
\(95\) −7.04268 + 4.52606i −0.722564 + 0.464363i
\(96\) 0.618834 + 4.30409i 0.0631595 + 0.439284i
\(97\) −4.84371 10.6062i −0.491804 1.07690i −0.979047 0.203634i \(-0.934725\pi\)
0.487243 0.873266i \(-0.338002\pi\)
\(98\) −0.114562 + 0.796795i −0.0115725 + 0.0804884i
\(99\) 2.97354 0.873111i 0.298852 0.0877509i
\(100\) −0.700619 0.450261i −0.0700619 0.0450261i
\(101\) 1.72669 3.78092i 0.171812 0.376216i −0.804064 0.594543i \(-0.797333\pi\)
0.975876 + 0.218328i \(0.0700602\pi\)
\(102\) 4.57514 + 1.34338i 0.453006 + 0.133015i
\(103\) 3.51924 + 4.06141i 0.346761 + 0.400183i 0.902161 0.431400i \(-0.141980\pi\)
−0.555400 + 0.831583i \(0.687435\pi\)
\(104\) −10.1331 11.6943i −0.993635 1.14672i
\(105\) −2.39967 0.704607i −0.234184 0.0687626i
\(106\) −4.19605 + 9.18806i −0.407556 + 0.892423i
\(107\) 3.60514 + 2.31689i 0.348522 + 0.223982i 0.703176 0.711016i \(-0.251765\pi\)
−0.354653 + 0.934998i \(0.615401\pi\)
\(108\) 0.799093 0.234635i 0.0768927 0.0225777i
\(109\) 0.422082 2.93565i 0.0404281 0.281184i −0.959572 0.281464i \(-0.909180\pi\)
1.00000 0.000280043i \(8.91405e-5\pi\)
\(110\) −1.39086 3.04555i −0.132613 0.290382i
\(111\) 0.918150 + 6.38587i 0.0871469 + 0.606120i
\(112\) 3.45205 2.21850i 0.326188 0.209628i
\(113\) 11.1969 12.9219i 1.05332 1.21559i 0.0775042 0.996992i \(-0.475305\pi\)
0.975814 0.218602i \(-0.0701497\pi\)
\(114\) −9.04437 −0.847083
\(115\) −3.01835 3.72687i −0.281463 0.347532i
\(116\) 0.875039 0.0812453
\(117\) −3.31098 + 3.82107i −0.306100 + 0.353258i
\(118\) −10.3459 + 6.64891i −0.952418 + 0.612082i
\(119\) 1.57092 + 10.9260i 0.144006 + 1.00159i
\(120\) −1.27136 2.78390i −0.116059 0.254134i
\(121\) 0.198632 1.38151i 0.0180574 0.125592i
\(122\) 12.4535 3.65667i 1.12748 0.331059i
\(123\) 2.64396 + 1.69917i 0.238398 + 0.153209i
\(124\) 1.94607 4.26130i 0.174762 0.382676i
\(125\) 0.959493 + 0.281733i 0.0858197 + 0.0251989i
\(126\) −1.76940 2.04200i −0.157631 0.181916i
\(127\) −0.107995 0.124633i −0.00958300 0.0110594i 0.750938 0.660373i \(-0.229602\pi\)
−0.760521 + 0.649314i \(0.775056\pi\)
\(128\) −0.0731612 0.0214821i −0.00646660 0.00189876i
\(129\) −4.83132 + 10.5791i −0.425374 + 0.931438i
\(130\) 4.59517 + 2.95314i 0.403023 + 0.259007i
\(131\) 11.1709 3.28006i 0.976002 0.286580i 0.245429 0.969415i \(-0.421071\pi\)
0.730573 + 0.682835i \(0.239253\pi\)
\(132\) −0.367314 + 2.55473i −0.0319706 + 0.222360i
\(133\) −8.69767 19.0452i −0.754184 1.65143i
\(134\) 1.07901 + 7.50469i 0.0932123 + 0.648306i
\(135\) −0.841254 + 0.540641i −0.0724036 + 0.0465310i
\(136\) −8.84568 + 10.2085i −0.758511 + 0.875369i
\(137\) −3.02846 −0.258739 −0.129369 0.991596i \(-0.541295\pi\)
−0.129369 + 0.991596i \(0.541295\pi\)
\(138\) −0.566433 5.15016i −0.0482179 0.438410i
\(139\) 9.83875 0.834512 0.417256 0.908789i \(-0.362992\pi\)
0.417256 + 0.908789i \(0.362992\pi\)
\(140\) 1.36400 1.57414i 0.115279 0.133039i
\(141\) 7.25877 4.66493i 0.611298 0.392858i
\(142\) −0.963460 6.70101i −0.0808518 0.562336i
\(143\) −6.50911 14.2530i −0.544319 1.19189i
\(144\) 0.233502 1.62404i 0.0194585 0.135337i
\(145\) −1.00812 + 0.296012i −0.0837201 + 0.0245824i
\(146\) −14.0553 9.03279i −1.16322 0.747559i
\(147\) −0.309531 + 0.677779i −0.0255297 + 0.0559022i
\(148\) −5.15538 1.51376i −0.423770 0.124430i
\(149\) −10.5563 12.1826i −0.864806 0.998039i −0.999974 0.00721648i \(-0.997703\pi\)
0.135168 0.990823i \(-0.456843\pi\)
\(150\) 0.707484 + 0.816480i 0.0577658 + 0.0666653i
\(151\) 4.90056 + 1.43893i 0.398802 + 0.117099i 0.474982 0.879995i \(-0.342454\pi\)
−0.0761807 + 0.997094i \(0.524273\pi\)
\(152\) 10.6434 23.3058i 0.863295 1.89035i
\(153\) 3.71297 + 2.38618i 0.300176 + 0.192911i
\(154\) 8.03436 2.35910i 0.647427 0.190102i
\(155\) −0.800518 + 5.56773i −0.0642992 + 0.447211i
\(156\) −1.74922 3.83026i −0.140050 0.306666i
\(157\) 0.913149 + 6.35109i 0.0728772 + 0.506872i 0.993265 + 0.115865i \(0.0369641\pi\)
−0.920388 + 0.391007i \(0.872127\pi\)
\(158\) 6.12694 3.93755i 0.487433 0.313254i
\(159\) −6.12265 + 7.06592i −0.485558 + 0.560364i
\(160\) 4.34835 0.343767
\(161\) 10.3003 6.14550i 0.811774 0.484333i
\(162\) −1.08036 −0.0848809
\(163\) 9.78889 11.2970i 0.766725 0.884848i −0.229352 0.973344i \(-0.573661\pi\)
0.996077 + 0.0884960i \(0.0282061\pi\)
\(164\) −2.20196 + 1.41512i −0.171944 + 0.110502i
\(165\) −0.441045 3.06753i −0.0343353 0.238807i
\(166\) 6.40782 + 14.0312i 0.497343 + 1.08903i
\(167\) −0.923653 + 6.42415i −0.0714744 + 0.497116i 0.922368 + 0.386313i \(0.126251\pi\)
−0.993842 + 0.110803i \(0.964658\pi\)
\(168\) 7.34411 2.15643i 0.566610 0.166372i
\(169\) 10.5688 + 6.79215i 0.812983 + 0.522473i
\(170\) 1.98082 4.33739i 0.151922 0.332662i
\(171\) −8.03254 2.35857i −0.614264 0.180364i
\(172\) −6.34289 7.32009i −0.483641 0.558152i
\(173\) −4.08917 4.71915i −0.310894 0.358790i 0.578702 0.815539i \(-0.303559\pi\)
−0.889596 + 0.456749i \(0.849014\pi\)
\(174\) −1.08913 0.319799i −0.0825670 0.0242439i
\(175\) −1.03894 + 2.27497i −0.0785367 + 0.171971i
\(176\) 4.27759 + 2.74904i 0.322436 + 0.207217i
\(177\) −10.9224 + 3.20709i −0.820974 + 0.241060i
\(178\) −0.912767 + 6.34844i −0.0684148 + 0.475835i
\(179\) 1.52765 + 3.34508i 0.114182 + 0.250023i 0.958092 0.286462i \(-0.0924792\pi\)
−0.843910 + 0.536485i \(0.819752\pi\)
\(180\) −0.118524 0.824351i −0.00883424 0.0614435i
\(181\) 9.97798 6.41246i 0.741657 0.476634i −0.114452 0.993429i \(-0.536511\pi\)
0.856109 + 0.516795i \(0.172875\pi\)
\(182\) −8.94609 + 10.3243i −0.663128 + 0.765291i
\(183\) 12.0138 0.888087
\(184\) 13.9377 + 4.60110i 1.02750 + 0.339198i
\(185\) 6.45154 0.474327
\(186\) −3.97958 + 4.59268i −0.291797 + 0.336752i
\(187\) −11.5068 + 7.39496i −0.841460 + 0.540773i
\(188\) 1.02268 + 7.11292i 0.0745869 + 0.518763i
\(189\) −1.03894 2.27497i −0.0755720 0.165480i
\(190\) −1.28715 + 8.95231i −0.0933796 + 0.649469i
\(191\) 6.25399 1.83634i 0.452523 0.132873i −0.0475257 0.998870i \(-0.515134\pi\)
0.500049 + 0.865997i \(0.333315\pi\)
\(192\) 6.71257 + 4.31391i 0.484438 + 0.311330i
\(193\) −2.97134 + 6.50632i −0.213882 + 0.468335i −0.985915 0.167246i \(-0.946512\pi\)
0.772034 + 0.635582i \(0.219240\pi\)
\(194\) −12.0866 3.54895i −0.867768 0.254800i
\(195\) 3.31098 + 3.82107i 0.237104 + 0.273633i
\(196\) −0.406374 0.468981i −0.0290267 0.0334987i
\(197\) 2.74559 + 0.806179i 0.195615 + 0.0574379i 0.378073 0.925776i \(-0.376587\pi\)
−0.182457 + 0.983214i \(0.558405\pi\)
\(198\) 1.39086 3.04555i 0.0988438 0.216438i
\(199\) 4.89013 + 3.14269i 0.346652 + 0.222780i 0.702367 0.711815i \(-0.252126\pi\)
−0.355716 + 0.934594i \(0.615763\pi\)
\(200\) −2.93650 + 0.862233i −0.207642 + 0.0609691i
\(201\) −0.998754 + 6.94648i −0.0704467 + 0.489967i
\(202\) −1.86544 4.08474i −0.131252 0.287402i
\(203\) −0.373966 2.60099i −0.0262473 0.182554i
\(204\) −3.09227 + 1.98728i −0.216502 + 0.139137i
\(205\) 2.05815 2.37523i 0.143747 0.165893i
\(206\) 5.80586 0.404514
\(207\) 0.839980 4.72170i 0.0583826 0.328181i
\(208\) −8.29559 −0.575196
\(209\) 16.9900 19.6075i 1.17522 1.35628i
\(210\) −2.27302 + 1.46078i −0.156854 + 0.100804i
\(211\) −2.09307 14.5576i −0.144093 1.00219i −0.925657 0.378363i \(-0.876487\pi\)
0.781565 0.623824i \(-0.214422\pi\)
\(212\) −3.23466 7.08291i −0.222157 0.486456i
\(213\) 0.891798 6.20259i 0.0611050 0.424994i
\(214\) 4.44227 1.30437i 0.303667 0.0891648i
\(215\) 9.78386 + 6.28770i 0.667254 + 0.428818i
\(216\) 1.27136 2.78390i 0.0865053 0.189420i
\(217\) −13.4981 3.96340i −0.916311 0.269053i
\(218\) −2.09828 2.42154i −0.142113 0.164008i
\(219\) −10.1273 11.6876i −0.684341 0.789772i
\(220\) 2.47645 + 0.727151i 0.166962 + 0.0490245i
\(221\) 9.27009 20.2987i 0.623574 1.36544i
\(222\) 5.86351 + 3.76825i 0.393533 + 0.252908i
\(223\) −26.3039 + 7.72353i −1.76144 + 0.517206i −0.992514 0.122131i \(-0.961027\pi\)
−0.768927 + 0.639337i \(0.779209\pi\)
\(224\) −1.54769 + 10.7644i −0.103409 + 0.719228i
\(225\) 0.415415 + 0.909632i 0.0276943 + 0.0606421i
\(226\) −2.62886 18.2841i −0.174869 1.21624i
\(227\) 2.69783 1.73379i 0.179061 0.115076i −0.448040 0.894014i \(-0.647878\pi\)
0.627101 + 0.778938i \(0.284241\pi\)
\(228\) 4.56578 5.26919i 0.302376 0.348961i
\(229\) 9.14163 0.604096 0.302048 0.953293i \(-0.402330\pi\)
0.302048 + 0.953293i \(0.402330\pi\)
\(230\) −5.17835 0.172277i −0.341450 0.0113596i
\(231\) 7.75072 0.509960
\(232\) 2.10576 2.43017i 0.138250 0.159549i
\(233\) 6.34613 4.07841i 0.415749 0.267186i −0.316001 0.948759i \(-0.602340\pi\)
0.731750 + 0.681573i \(0.238704\pi\)
\(234\) 0.777364 + 5.40669i 0.0508179 + 0.353446i
\(235\) −3.58441 7.84877i −0.233821 0.511997i
\(236\) 1.34921 9.38397i 0.0878262 0.610844i
\(237\) 6.46832 1.89927i 0.420162 0.123371i
\(238\) 10.0323 + 6.44734i 0.650295 + 0.417919i
\(239\) 4.46122 9.76872i 0.288573 0.631886i −0.708715 0.705495i \(-0.750725\pi\)
0.997287 + 0.0736096i \(0.0234519\pi\)
\(240\) −1.57428 0.462250i −0.101619 0.0298381i
\(241\) 2.23458 + 2.57884i 0.143942 + 0.166118i 0.823142 0.567835i \(-0.192219\pi\)
−0.679201 + 0.733953i \(0.737673\pi\)
\(242\) −0.987450 1.13958i −0.0634757 0.0732548i
\(243\) −0.959493 0.281733i −0.0615515 0.0180732i
\(244\) −4.15641 + 9.10127i −0.266087 + 0.582649i
\(245\) 0.626829 + 0.402839i 0.0400466 + 0.0257364i
\(246\) 3.25789 0.956604i 0.207716 0.0609909i
\(247\) −6.02377 + 41.8962i −0.383283 + 2.66579i
\(248\) −7.15140 15.6594i −0.454114 0.994372i
\(249\) 2.03194 + 14.1324i 0.128769 + 0.895607i
\(250\) 0.908854 0.584085i 0.0574810 0.0369408i
\(251\) −17.0337 + 19.6579i −1.07516 + 1.24080i −0.105996 + 0.994367i \(0.533803\pi\)
−0.969161 + 0.246430i \(0.920742\pi\)
\(252\) 2.08288 0.131209
\(253\) 12.2292 + 8.44665i 0.768841 + 0.531036i
\(254\) −0.178165 −0.0111790
\(255\) 2.89031 3.33559i 0.180998 0.208883i
\(256\) −13.4944 + 8.67235i −0.843403 + 0.542022i
\(257\) −2.49867 17.3787i −0.155863 1.08405i −0.906155 0.422945i \(-0.860996\pi\)
0.750292 0.661106i \(-0.229913\pi\)
\(258\) 5.21955 + 11.4292i 0.324955 + 0.711552i
\(259\) −2.29627 + 15.9709i −0.142683 + 0.992385i
\(260\) −4.04021 + 1.18631i −0.250563 + 0.0735720i
\(261\) −0.883891 0.568042i −0.0547115 0.0351609i
\(262\) 5.22509 11.4414i 0.322807 0.706849i
\(263\) 19.9893 + 5.86940i 1.23259 + 0.361922i 0.832228 0.554433i \(-0.187065\pi\)
0.400366 + 0.916355i \(0.368883\pi\)
\(264\) 6.21111 + 7.16800i 0.382267 + 0.441160i
\(265\) 6.12265 + 7.06592i 0.376112 + 0.434056i
\(266\) −21.7035 6.37273i −1.33073 0.390737i
\(267\) −2.46618 + 5.40018i −0.150928 + 0.330486i
\(268\) −4.91689 3.15989i −0.300347 0.193021i
\(269\) 4.53536 1.33170i 0.276526 0.0811952i −0.140529 0.990077i \(-0.544880\pi\)
0.417055 + 0.908881i \(0.363062\pi\)
\(270\) −0.153751 + 1.06936i −0.00935698 + 0.0650792i
\(271\) −9.01019 19.7296i −0.547330 1.19849i −0.958018 0.286709i \(-0.907439\pi\)
0.410688 0.911776i \(-0.365289\pi\)
\(272\) 1.03059 + 7.16790i 0.0624886 + 0.434618i
\(273\) −10.6376 + 6.83637i −0.643817 + 0.413756i
\(274\) −2.14259 + 2.47268i −0.129438 + 0.149380i
\(275\) −3.09908 −0.186881
\(276\) 3.28640 + 2.26990i 0.197818 + 0.136632i
\(277\) 9.27565 0.557320 0.278660 0.960390i \(-0.410110\pi\)
0.278660 + 0.960390i \(0.410110\pi\)
\(278\) 6.96075 8.03314i 0.417478 0.481796i
\(279\) −4.73204 + 3.04109i −0.283300 + 0.182066i
\(280\) −1.08930 7.57625i −0.0650981 0.452767i
\(281\) 0.935042 + 2.04746i 0.0557799 + 0.122141i 0.935470 0.353407i \(-0.114977\pi\)
−0.879690 + 0.475548i \(0.842250\pi\)
\(282\) 1.32664 9.22699i 0.0790003 0.549459i
\(283\) 10.2855 3.02008i 0.611407 0.179525i 0.0386529 0.999253i \(-0.487693\pi\)
0.572754 + 0.819728i \(0.305875\pi\)
\(284\) 4.39034 + 2.82150i 0.260519 + 0.167425i
\(285\) −3.47771 + 7.61512i −0.206002 + 0.451081i
\(286\) −16.2423 4.76918i −0.960430 0.282008i
\(287\) 5.14738 + 5.94040i 0.303840 + 0.350651i
\(288\) 2.84756 + 3.28626i 0.167794 + 0.193645i
\(289\) −2.37958 0.698706i −0.139975 0.0411004i
\(290\) −0.471543 + 1.03254i −0.0276900 + 0.0606326i
\(291\) −9.80895 6.30383i −0.575011 0.369537i
\(292\) 12.3578 3.62859i 0.723188 0.212347i
\(293\) −2.39898 + 16.6853i −0.140150 + 0.974763i 0.791439 + 0.611249i \(0.209332\pi\)
−0.931588 + 0.363515i \(0.881577\pi\)
\(294\) 0.334404 + 0.732243i 0.0195029 + 0.0427053i
\(295\) 1.62004 + 11.2676i 0.0943221 + 0.656025i
\(296\) −16.6103 + 10.6748i −0.965455 + 0.620460i
\(297\) 2.02946 2.34213i 0.117761 0.135904i
\(298\) −17.4153 −1.00884
\(299\) −24.2343 0.806243i −1.40151 0.0466262i
\(300\) −0.832828 −0.0480833
\(301\) −19.0477 + 21.9822i −1.09789 + 1.26703i
\(302\) 4.64192 2.98318i 0.267113 0.171663i
\(303\) −0.591537 4.11423i −0.0339829 0.236356i
\(304\) −5.70602 12.4944i −0.327263 0.716605i
\(305\) 1.70974 11.8915i 0.0978996 0.680907i
\(306\) 4.57514 1.34338i 0.261543 0.0767960i
\(307\) −6.74486 4.33466i −0.384950 0.247392i 0.333825 0.942635i \(-0.391660\pi\)
−0.718775 + 0.695243i \(0.755297\pi\)
\(308\) −2.68151 + 5.87169i −0.152793 + 0.334571i
\(309\) 5.15634 + 1.51404i 0.293334 + 0.0861306i
\(310\) 3.97958 + 4.59268i 0.226025 + 0.260847i
\(311\) 0.175579 + 0.202629i 0.00995618 + 0.0114900i 0.760706 0.649097i \(-0.224853\pi\)
−0.750750 + 0.660587i \(0.770308\pi\)
\(312\) −14.8469 4.35945i −0.840542 0.246805i
\(313\) −1.13329 + 2.48156i −0.0640575 + 0.140266i −0.938953 0.344045i \(-0.888203\pi\)
0.874896 + 0.484312i \(0.160930\pi\)
\(314\) 5.83157 + 3.74772i 0.329095 + 0.211496i
\(315\) −2.39967 + 0.704607i −0.135206 + 0.0397001i
\(316\) −0.799015 + 5.55727i −0.0449481 + 0.312621i
\(317\) 8.66321 + 18.9698i 0.486574 + 1.06545i 0.980603 + 0.196003i \(0.0627963\pi\)
−0.494029 + 0.869445i \(0.664476\pi\)
\(318\) 1.43750 + 9.99804i 0.0806111 + 0.560662i
\(319\) 2.73925 1.76041i 0.153368 0.0985639i
\(320\) 5.22530 6.03032i 0.292103 0.337105i
\(321\) 4.28544 0.239190
\(322\) 2.26958 12.7578i 0.126479 0.710964i
\(323\) 36.9493 2.05591
\(324\) 0.545386 0.629409i 0.0302992 0.0349672i
\(325\) 4.25338 2.73348i 0.235935 0.151626i
\(326\) −2.29827 15.9849i −0.127290 0.885319i
\(327\) −1.23205 2.69782i −0.0681326 0.149190i
\(328\) −1.36888 + 9.52078i −0.0755838 + 0.525697i
\(329\) 20.7056 6.07971i 1.14154 0.335185i
\(330\) −2.81661 1.81013i −0.155049 0.0996441i
\(331\) 3.22504 7.06186i 0.177264 0.388155i −0.800055 0.599927i \(-0.795196\pi\)
0.977319 + 0.211772i \(0.0679235\pi\)
\(332\) −11.4093 3.35006i −0.626165 0.183859i
\(333\) 4.22486 + 4.87575i 0.231521 + 0.267189i
\(334\) 4.59172 + 5.29912i 0.251248 + 0.289955i
\(335\) 6.73364 + 1.97718i 0.367898 + 0.108025i
\(336\) 1.70464 3.73264i 0.0929956 0.203632i
\(337\) 10.6082 + 6.81747i 0.577865 + 0.371371i 0.796686 0.604394i \(-0.206585\pi\)
−0.218821 + 0.975765i \(0.570221\pi\)
\(338\) 13.0229 3.82387i 0.708352 0.207991i
\(339\) 2.43332 16.9241i 0.132160 0.919193i
\(340\) 1.52698 + 3.34361i 0.0828119 + 0.181333i
\(341\) −2.48087 17.2548i −0.134347 0.934401i
\(342\) −7.60861 + 4.88976i −0.411427 + 0.264408i
\(343\) −12.6849 + 14.6391i −0.684919 + 0.790439i
\(344\) −35.5935 −1.91907
\(345\) −4.55410 1.50340i −0.245184 0.0809402i
\(346\) −6.74611 −0.362673
\(347\) −19.1121 + 22.0566i −1.02599 + 1.18406i −0.0432541 + 0.999064i \(0.513772\pi\)
−0.982739 + 0.184995i \(0.940773\pi\)
\(348\) 0.736129 0.473082i 0.0394607 0.0253598i
\(349\) 0.137285 + 0.954841i 0.00734872 + 0.0511115i 0.993166 0.116712i \(-0.0372353\pi\)
−0.985817 + 0.167823i \(0.946326\pi\)
\(350\) 1.12243 + 2.45778i 0.0599964 + 0.131374i
\(351\) −0.719544 + 5.00454i −0.0384064 + 0.267122i
\(352\) −12.9300 + 3.79659i −0.689171 + 0.202359i
\(353\) 19.4428 + 12.4951i 1.03483 + 0.665048i 0.943704 0.330791i \(-0.107316\pi\)
0.0911306 + 0.995839i \(0.470952\pi\)
\(354\) −5.10886 + 11.1868i −0.271533 + 0.594574i
\(355\) −6.01254 1.76544i −0.319112 0.0936999i
\(356\) −3.23778 3.73659i −0.171602 0.198039i
\(357\) 7.22859 + 8.34224i 0.382578 + 0.441518i
\(358\) 3.81197 + 1.11930i 0.201469 + 0.0591566i
\(359\) −3.32072 + 7.27135i −0.175261 + 0.383767i −0.976793 0.214184i \(-0.931291\pi\)
0.801533 + 0.597951i \(0.204018\pi\)
\(360\) −2.57463 1.65461i −0.135695 0.0872058i
\(361\) −49.0152 + 14.3922i −2.57975 + 0.757483i
\(362\) 1.82362 12.6835i 0.0958471 0.666631i
\(363\) −0.579803 1.26959i −0.0304318 0.0666363i
\(364\) −1.49873 10.4239i −0.0785546 0.546359i
\(365\) −13.0099 + 8.36093i −0.680967 + 0.437631i
\(366\) 8.49957 9.80903i 0.444280 0.512726i
\(367\) −15.5771 −0.813119 −0.406559 0.913624i \(-0.633272\pi\)
−0.406559 + 0.913624i \(0.633272\pi\)
\(368\) 6.75738 4.03170i 0.352253 0.210167i
\(369\) 3.14288 0.163612
\(370\) 4.56436 5.26755i 0.237290 0.273847i
\(371\) −19.6710 + 12.6418i −1.02127 + 0.656330i
\(372\) −0.666694 4.63696i −0.0345665 0.240415i
\(373\) 3.94580 + 8.64010i 0.204306 + 0.447367i 0.983854 0.178975i \(-0.0572783\pi\)
−0.779548 + 0.626343i \(0.784551\pi\)
\(374\) −2.10303 + 14.6269i −0.108745 + 0.756338i
\(375\) 0.959493 0.281733i 0.0495480 0.0145486i
\(376\) 22.2152 + 14.2768i 1.14566 + 0.736272i
\(377\) −2.20679 + 4.83220i −0.113656 + 0.248871i
\(378\) −2.59250 0.761227i −0.133344 0.0391533i
\(379\) −20.6598 23.8427i −1.06122 1.22472i −0.973528 0.228569i \(-0.926595\pi\)
−0.0876951 0.996147i \(-0.527950\pi\)
\(380\) −4.56578 5.26919i −0.234220 0.270304i
\(381\) −0.158233 0.0464613i −0.00810650 0.00238028i
\(382\) 2.92527 6.40544i 0.149670 0.327731i
\(383\) 16.5393 + 10.6292i 0.845120 + 0.543126i 0.890049 0.455864i \(-0.150670\pi\)
−0.0449291 + 0.998990i \(0.514306\pi\)
\(384\) −0.0731612 + 0.0214821i −0.00373349 + 0.00109625i
\(385\) 1.10304 7.67183i 0.0562163 0.390993i
\(386\) 3.21011 + 7.02915i 0.163390 + 0.357774i
\(387\) 1.65513 + 11.5117i 0.0841352 + 0.585173i
\(388\) 8.16917 5.25000i 0.414727 0.266529i
\(389\) 9.71959 11.2170i 0.492803 0.568725i −0.453809 0.891099i \(-0.649935\pi\)
0.946612 + 0.322374i \(0.104481\pi\)
\(390\) 5.46229 0.276594
\(391\) 2.31407 + 21.0401i 0.117027 + 1.06404i
\(392\) −2.28039 −0.115177
\(393\) 7.62418 8.79878i 0.384589 0.443840i
\(394\) 2.60069 1.67136i 0.131021 0.0842020i
\(395\) −0.959400 6.67277i −0.0482727 0.335744i
\(396\) 1.07219 + 2.34776i 0.0538793 + 0.117979i
\(397\) 0.750568 5.22032i 0.0376699 0.262000i −0.962279 0.272063i \(-0.912294\pi\)
0.999949 + 0.0100629i \(0.00320316\pi\)
\(398\) 6.02563 1.76928i 0.302037 0.0886862i
\(399\) −17.6136 11.3196i −0.881782 0.566687i
\(400\) −0.681589 + 1.49247i −0.0340794 + 0.0746235i
\(401\) −6.92609 2.03368i −0.345872 0.101557i 0.104183 0.994558i \(-0.466777\pi\)
−0.450055 + 0.893001i \(0.648596\pi\)
\(402\) 4.96506 + 5.72999i 0.247635 + 0.285786i
\(403\) 18.6242 + 21.4935i 0.927737 + 1.07067i
\(404\) 3.32146 + 0.975268i 0.165249 + 0.0485214i
\(405\) −0.415415 + 0.909632i −0.0206421 + 0.0452000i
\(406\) −2.38823 1.53482i −0.118526 0.0761719i
\(407\) −19.1839 + 5.63291i −0.950912 + 0.279213i
\(408\) −1.92235 + 13.3702i −0.0951706 + 0.661926i
\(409\) −3.91433 8.57119i −0.193551 0.423818i 0.787829 0.615894i \(-0.211205\pi\)
−0.981380 + 0.192076i \(0.938478\pi\)
\(410\) −0.483221 3.36087i −0.0238646 0.165982i
\(411\) −2.54770 + 1.63731i −0.125669 + 0.0807625i
\(412\) −2.93092 + 3.38246i −0.144396 + 0.166642i
\(413\) −28.4698 −1.40091
\(414\) −3.26090 4.02635i −0.160264 0.197884i
\(415\) 14.2778 0.700868
\(416\) 14.3973 16.6153i 0.705884 0.814634i
\(417\) 8.27688 5.31923i 0.405321 0.260484i
\(418\) −3.98897 27.7439i −0.195107 1.35700i
\(419\) 9.00006 + 19.7074i 0.439682 + 0.962769i 0.991657 + 0.128908i \(0.0411472\pi\)
−0.551975 + 0.833861i \(0.686126\pi\)
\(420\) 0.296425 2.06168i 0.0144641 0.100600i
\(421\) 21.4952 6.31156i 1.04761 0.307607i 0.287760 0.957703i \(-0.407089\pi\)
0.759852 + 0.650096i \(0.225271\pi\)
\(422\) −13.3668 8.59032i −0.650685 0.418170i
\(423\) 3.58441 7.84877i 0.174280 0.381620i
\(424\) −27.4549 8.06149i −1.33333 0.391501i
\(425\) −2.89031 3.33559i −0.140200 0.161800i
\(426\) −4.43336 5.11636i −0.214797 0.247889i
\(427\) 28.8292 + 8.46501i 1.39514 + 0.409651i
\(428\) −1.48263 + 3.24651i −0.0716657 + 0.156926i
\(429\) −13.1815 8.47127i −0.636411 0.408997i
\(430\) 12.0557 3.53987i 0.581377 0.170708i
\(431\) −0.556516 + 3.87065i −0.0268064 + 0.186443i −0.998825 0.0484608i \(-0.984568\pi\)
0.972019 + 0.234904i \(0.0754775\pi\)
\(432\) −0.681589 1.49247i −0.0327930 0.0718065i
\(433\) 0.568406 + 3.95335i 0.0273159 + 0.189986i 0.998911 0.0466650i \(-0.0148593\pi\)
−0.971595 + 0.236651i \(0.923950\pi\)
\(434\) −12.7857 + 8.21688i −0.613734 + 0.394423i
\(435\) −0.688051 + 0.794054i −0.0329895 + 0.0380720i
\(436\) 2.47003 0.118293
\(437\) −15.4550 37.0552i −0.739311 1.77259i
\(438\) −16.7076 −0.798318
\(439\) 18.8871 21.7969i 0.901431 1.04031i −0.0975524 0.995230i \(-0.531101\pi\)
0.998984 0.0450766i \(-0.0143532\pi\)
\(440\) 7.97897 5.12777i 0.380383 0.244457i
\(441\) 0.106041 + 0.737529i 0.00504955 + 0.0351204i
\(442\) −10.0150 21.9298i −0.476366 1.04310i
\(443\) −4.82406 + 33.5521i −0.229198 + 1.59411i 0.472302 + 0.881437i \(0.343423\pi\)
−0.701500 + 0.712669i \(0.747486\pi\)
\(444\) −5.15538 + 1.51376i −0.244663 + 0.0718397i
\(445\) 4.99424 + 3.20960i 0.236750 + 0.152150i
\(446\) −12.3035 + 26.9409i −0.582587 + 1.27569i
\(447\) −15.4669 4.54151i −0.731562 0.214806i
\(448\) 13.0684 + 15.0817i 0.617422 + 0.712542i
\(449\) −21.6233 24.9546i −1.02047 1.17768i −0.983968 0.178346i \(-0.942925\pi\)
−0.0364975 0.999334i \(-0.511620\pi\)
\(450\) 1.03660 + 0.304372i 0.0488656 + 0.0143482i
\(451\) −4.04615 + 8.85984i −0.190526 + 0.417194i
\(452\) 11.9793 + 7.69864i 0.563460 + 0.362114i
\(453\) 4.90056 1.43893i 0.230248 0.0676070i
\(454\) 0.493066 3.42935i 0.0231407 0.160947i
\(455\) 5.25290 + 11.5022i 0.246260 + 0.539233i
\(456\) −3.64627 25.3604i −0.170752 1.18761i
\(457\) 23.5271 15.1199i 1.10055 0.707281i 0.141337 0.989962i \(-0.454860\pi\)
0.959214 + 0.282681i \(0.0912236\pi\)
\(458\) 6.46755 7.46395i 0.302209 0.348768i
\(459\) 4.41362 0.206010
\(460\) 2.71450 2.92990i 0.126564 0.136607i
\(461\) 33.4177 1.55642 0.778209 0.628005i \(-0.216128\pi\)
0.778209 + 0.628005i \(0.216128\pi\)
\(462\) 5.48351 6.32831i 0.255116 0.294419i
\(463\) 14.0177 9.00861i 0.651456 0.418666i −0.172742 0.984967i \(-0.555263\pi\)
0.824198 + 0.566302i \(0.191626\pi\)
\(464\) −0.245337 1.70635i −0.0113895 0.0792155i
\(465\) 2.33670 + 5.11666i 0.108362 + 0.237280i
\(466\) 1.15984 8.06689i 0.0537288 0.373692i
\(467\) −14.8962 + 4.37393i −0.689315 + 0.202401i −0.607587 0.794253i \(-0.707862\pi\)
−0.0817285 + 0.996655i \(0.526044\pi\)
\(468\) −3.54233 2.27652i −0.163744 0.105232i
\(469\) −7.29122 + 15.9655i −0.336677 + 0.737220i
\(470\) −8.94427 2.62628i −0.412569 0.121141i
\(471\) 4.20185 + 4.84919i 0.193611 + 0.223439i
\(472\) −22.8145 26.3293i −1.05012 1.21191i
\(473\) −34.5826 10.1544i −1.59011 0.466898i
\(474\) 3.02551 6.62495i 0.138966 0.304294i
\(475\) 7.04268 + 4.52606i 0.323140 + 0.207670i
\(476\) −8.82067 + 2.58998i −0.404295 + 0.118712i
\(477\) −1.33058 + 9.25438i −0.0609230 + 0.423729i
\(478\) −4.81972 10.5537i −0.220449 0.482715i
\(479\) 4.49018 + 31.2299i 0.205162 + 1.42693i 0.788666 + 0.614821i \(0.210772\pi\)
−0.583505 + 0.812110i \(0.698319\pi\)
\(480\) 3.65806 2.35089i 0.166967 0.107303i
\(481\) 21.3609 24.6518i 0.973973 1.12402i
\(482\) 3.68650 0.167915
\(483\) 5.34262 10.7387i 0.243097 0.488626i
\(484\) 1.16240 0.0528362
\(485\) −7.63562 + 8.81198i −0.346716 + 0.400131i
\(486\) −0.908854 + 0.584085i −0.0412265 + 0.0264946i
\(487\) 4.07805 + 28.3635i 0.184794 + 1.28527i 0.845236 + 0.534394i \(0.179460\pi\)
−0.660442 + 0.750877i \(0.729631\pi\)
\(488\) 15.2739 + 33.4452i 0.691418 + 1.51399i
\(489\) 2.12733 14.7959i 0.0962011 0.669093i
\(490\) 0.772381 0.226791i 0.0348926 0.0102454i
\(491\) 8.89089 + 5.71383i 0.401240 + 0.257861i 0.725662 0.688051i \(-0.241533\pi\)
−0.324422 + 0.945912i \(0.605170\pi\)
\(492\) −1.08734 + 2.38094i −0.0490211 + 0.107341i
\(493\) 4.44947 + 1.30648i 0.200394 + 0.0588410i
\(494\) 29.9457 + 34.5592i 1.34732 + 1.55489i
\(495\) −2.02946 2.34213i −0.0912176 0.105271i
\(496\) −8.85530 2.60015i −0.397615 0.116750i
\(497\) 6.51041 14.2558i 0.292032 0.639460i
\(498\) 12.9764 + 8.33944i 0.581487 + 0.373699i
\(499\) 33.2493 9.76287i 1.48844 0.437046i 0.566398 0.824132i \(-0.308336\pi\)
0.922044 + 0.387085i \(0.126518\pi\)
\(500\) −0.118524 + 0.824351i −0.00530054 + 0.0368661i
\(501\) 2.69613 + 5.90370i 0.120454 + 0.263758i
\(502\) 3.99924 + 27.8153i 0.178495 + 1.24146i
\(503\) 18.5980 11.9522i 0.829245 0.532923i −0.0557931 0.998442i \(-0.517769\pi\)
0.885038 + 0.465519i \(0.154132\pi\)
\(504\) 5.01241 5.78463i 0.223270 0.257668i
\(505\) −4.15654 −0.184963
\(506\) 15.5485 4.00900i 0.691213 0.178222i
\(507\) 12.5631 0.557949
\(508\) 0.0899412 0.103798i 0.00399049 0.00460528i
\(509\) 3.53306 2.27056i 0.156600 0.100641i −0.459994 0.887922i \(-0.652148\pi\)
0.616594 + 0.787281i \(0.288512\pi\)
\(510\) −0.678598 4.71975i −0.0300488 0.208994i
\(511\) −16.0671 35.1821i −0.710767 1.55636i
\(512\) −2.44460 + 17.0025i −0.108037 + 0.751413i
\(513\) −8.03254 + 2.35857i −0.354645 + 0.104133i
\(514\) −15.9571 10.2550i −0.703837 0.452329i
\(515\) 2.23245 4.88838i 0.0983735 0.215408i
\(516\) −9.29352 2.72882i −0.409124 0.120130i
\(517\) 17.5113 + 20.2091i 0.770144 + 0.888794i
\(518\) 11.4154 + 13.1740i 0.501562 + 0.578834i
\(519\) −5.99139 1.75923i −0.262993 0.0772217i
\(520\) −6.42802 + 14.0754i −0.281887 + 0.617247i
\(521\) 24.3267 + 15.6338i 1.06577 + 0.684930i 0.951228 0.308488i \(-0.0998231\pi\)
0.114544 + 0.993418i \(0.463459\pi\)
\(522\) −1.08913 + 0.319799i −0.0476701 + 0.0139972i
\(523\) 1.83305 12.7491i 0.0801536 0.557480i −0.909687 0.415296i \(-0.863678\pi\)
0.989840 0.142185i \(-0.0454128\pi\)
\(524\) 4.02793 + 8.81994i 0.175961 + 0.385301i
\(525\) 0.355926 + 2.47552i 0.0155339 + 0.108041i
\(526\) 18.9344 12.1684i 0.825577 0.530566i
\(527\) 16.2579 18.7626i 0.708206 0.817313i
\(528\) 5.08478 0.221287
\(529\) 20.1325 11.1212i 0.875326 0.483533i
\(530\) 10.1009 0.438753
\(531\) −7.45458 + 8.60305i −0.323501 + 0.373340i
\(532\) 14.6691 9.42725i 0.635985 0.408723i
\(533\) −2.26144 15.7287i −0.0979538 0.681284i
\(534\) 2.66435 + 5.83412i 0.115298 + 0.252467i
\(535\) 0.609882 4.24182i 0.0263675 0.183390i
\(536\) −20.6081 + 6.05108i −0.890134 + 0.261367i
\(537\) 3.09362 + 1.98815i 0.133500 + 0.0857951i
\(538\) 2.12138 4.64518i 0.0914593 0.200268i
\(539\) −2.21563 0.650566i −0.0954337 0.0280219i
\(540\) −0.545386 0.629409i −0.0234697 0.0270855i
\(541\) −9.46242 10.9202i −0.406821 0.469497i 0.514956 0.857217i \(-0.327808\pi\)
−0.921777 + 0.387720i \(0.873263\pi\)
\(542\) −22.4833 6.60170i −0.965742 0.283567i
\(543\) 4.92717 10.7890i 0.211445 0.463001i
\(544\) −16.1453 10.3759i −0.692224 0.444865i
\(545\) −2.84570 + 0.835572i −0.121896 + 0.0357920i
\(546\) −1.94417 + 13.5220i −0.0832028 + 0.578688i
\(547\) −11.7296 25.6842i −0.501521 1.09818i −0.975972 0.217896i \(-0.930081\pi\)
0.474451 0.880282i \(-0.342647\pi\)
\(548\) −0.358945 2.49652i −0.0153334 0.106646i
\(549\) 10.1067 6.49516i 0.431342 0.277207i
\(550\) −2.19255 + 2.53033i −0.0934905 + 0.107894i
\(551\) −8.79595 −0.374720
\(552\) 14.2126 3.66458i 0.604930 0.155975i
\(553\) 16.8601 0.716963
\(554\) 6.56237 7.57338i 0.278808 0.321762i
\(555\) 5.42738 3.48797i 0.230380 0.148056i
\(556\) 1.16613 + 8.11058i 0.0494547 + 0.343965i
\(557\) 1.69790 + 3.71789i 0.0719424 + 0.157532i 0.942187 0.335089i \(-0.108766\pi\)
−0.870244 + 0.492621i \(0.836039\pi\)
\(558\) −0.864846 + 6.01514i −0.0366118 + 0.254641i
\(559\) 56.4199 16.5664i 2.38631 0.700683i
\(560\) −3.45205 2.21850i −0.145876 0.0937486i
\(561\) −5.68211 + 12.4421i −0.239899 + 0.525305i
\(562\) 2.33323 + 0.685099i 0.0984215 + 0.0288992i
\(563\) −10.4992 12.1167i −0.442487 0.510657i 0.490068 0.871684i \(-0.336972\pi\)
−0.932556 + 0.361027i \(0.882426\pi\)
\(564\) 4.70587 + 5.43087i 0.198153 + 0.228681i
\(565\) −16.4056 4.81711i −0.690188 0.202658i
\(566\) 4.81095 10.5345i 0.202219 0.442799i
\(567\) −2.10396 1.35213i −0.0883578 0.0567841i
\(568\) 18.4012 5.40307i 0.772096 0.226708i
\(569\) 1.94557 13.5317i 0.0815624 0.567279i −0.907531 0.419986i \(-0.862035\pi\)
0.989093 0.147293i \(-0.0470559\pi\)
\(570\) 3.75717 + 8.22705i 0.157370 + 0.344593i
\(571\) −0.289610 2.01428i −0.0121198 0.0842951i 0.982864 0.184333i \(-0.0590126\pi\)
−0.994984 + 0.100038i \(0.968103\pi\)
\(572\) 10.9780 7.05511i 0.459012 0.294989i
\(573\) 4.26839 4.92599i 0.178315 0.205786i
\(574\) 8.49190 0.354445
\(575\) −2.13621 + 4.29379i −0.0890862 + 0.179063i
\(576\) 7.97925 0.332469
\(577\) −6.12073 + 7.06370i −0.254809 + 0.294065i −0.868713 0.495315i \(-0.835053\pi\)
0.613904 + 0.789381i \(0.289598\pi\)
\(578\) −2.25399 + 1.44855i −0.0937536 + 0.0602518i
\(579\) 1.01793 + 7.07989i 0.0423039 + 0.294230i
\(580\) −0.363504 0.795963i −0.0150937 0.0330506i
\(581\) −5.08183 + 35.3449i −0.210830 + 1.46635i
\(582\) −12.0866 + 3.54895i −0.501006 + 0.147109i
\(583\) −24.3753 15.6651i −1.00952 0.648780i
\(584\) 19.6615 43.0526i 0.813597 1.78153i
\(585\) 4.85120 + 1.42444i 0.200572 + 0.0588933i
\(586\) 11.9259 + 13.7633i 0.492656 + 0.568555i
\(587\) −27.6197 31.8748i −1.13999 1.31561i −0.942078 0.335393i \(-0.891131\pi\)
−0.197908 0.980221i \(-0.563415\pi\)
\(588\) −0.595414 0.174829i −0.0245545 0.00720984i
\(589\) −19.5620 + 42.8349i −0.806040 + 1.76498i
\(590\) 10.3459 + 6.64891i 0.425934 + 0.273731i
\(591\) 2.74559 0.806179i 0.112939 0.0331618i
\(592\) −1.50645 + 10.4776i −0.0619146 + 0.430625i
\(593\) 5.07808 + 11.1194i 0.208532 + 0.456621i 0.984780 0.173807i \(-0.0556069\pi\)
−0.776248 + 0.630428i \(0.782880\pi\)
\(594\) −0.476486 3.31403i −0.0195505 0.135976i
\(595\) 9.28606 5.96779i 0.380691 0.244655i
\(596\) 8.79158 10.1460i 0.360117 0.415597i
\(597\) 5.81290 0.237906
\(598\) −17.8037 + 19.2164i −0.728046 + 0.785818i
\(599\) −25.6961 −1.04991 −0.524957 0.851129i \(-0.675919\pi\)
−0.524957 + 0.851129i \(0.675919\pi\)
\(600\) −2.00418 + 2.31295i −0.0818203 + 0.0944256i
\(601\) 5.16181 3.31729i 0.210555 0.135315i −0.431113 0.902298i \(-0.641879\pi\)
0.641668 + 0.766983i \(0.278243\pi\)
\(602\) 4.47209 + 31.1041i 0.182269 + 1.26771i
\(603\) 2.91535 + 6.38372i 0.118722 + 0.259965i
\(604\) −0.605354 + 4.21033i −0.0246315 + 0.171316i
\(605\) −1.33918 + 0.393220i −0.0544456 + 0.0159867i
\(606\) −3.77769 2.42777i −0.153458 0.0986215i
\(607\) −2.58566 + 5.66180i −0.104949 + 0.229805i −0.954820 0.297185i \(-0.903952\pi\)
0.849871 + 0.526990i \(0.176680\pi\)
\(608\) 34.9283 + 10.2559i 1.41653 + 0.415930i
\(609\) −1.72080 1.98591i −0.0697304 0.0804731i
\(610\) −8.49957 9.80903i −0.344138 0.397156i
\(611\) −41.8586 12.2908i −1.69342 0.497232i
\(612\) −1.52698 + 3.34361i −0.0617244 + 0.135158i
\(613\) −24.6338 15.8312i −0.994950 0.639415i −0.0614938 0.998107i \(-0.519586\pi\)
−0.933456 + 0.358692i \(0.883223\pi\)
\(614\) −8.31104 + 2.44034i −0.335406 + 0.0984842i
\(615\) 0.447279 3.11089i 0.0180360 0.125443i
\(616\) 9.85399 + 21.5772i 0.397028 + 0.869371i
\(617\) −2.51454 17.4890i −0.101231 0.704080i −0.975718 0.219031i \(-0.929711\pi\)
0.874487 0.485050i \(-0.161199\pi\)
\(618\) 4.88420 3.13889i 0.196471 0.126265i
\(619\) −18.8469 + 21.7505i −0.757521 + 0.874226i −0.995275 0.0970993i \(-0.969044\pi\)
0.237753 + 0.971326i \(0.423589\pi\)
\(620\) −4.68464 −0.188140
\(621\) −1.84611 4.42627i −0.0740817 0.177620i
\(622\) 0.289662 0.0116144
\(623\) −9.72302 + 11.2210i −0.389545 + 0.449558i
\(624\) −6.97869 + 4.48493i −0.279371 + 0.179541i
\(625\) −0.142315 0.989821i −0.00569259 0.0395929i
\(626\) 1.22436 + 2.68098i 0.0489353 + 0.107153i
\(627\) 3.69227 25.6803i 0.147455 1.02557i
\(628\) −5.12730 + 1.50551i −0.204601 + 0.0600764i
\(629\) −23.9544 15.3946i −0.955124 0.613821i
\(630\) −1.12243 + 2.45778i −0.0447187 + 0.0979203i
\(631\) −11.1748 3.28121i −0.444861 0.130623i 0.0516271 0.998666i \(-0.483559\pi\)
−0.496488 + 0.868043i \(0.665377\pi\)
\(632\) 13.5110 + 15.5925i 0.537437 + 0.620235i
\(633\) −9.63123 11.1150i −0.382807 0.441783i
\(634\) 21.6175 + 6.34747i 0.858541 + 0.252090i
\(635\) −0.0685072 + 0.150010i −0.00271863 + 0.00595296i
\(636\) −6.55048 4.20974i −0.259743 0.166927i
\(637\) 3.61469 1.06137i 0.143219 0.0420530i
\(638\) 0.500636 3.48200i 0.0198204 0.137854i
\(639\) −2.60314 5.70009i −0.102979 0.225492i
\(640\) 0.0108515 + 0.0754737i 0.000428943 + 0.00298336i
\(641\) 16.7053 10.7359i 0.659821 0.424041i −0.167422 0.985885i \(-0.553544\pi\)
0.827243 + 0.561844i \(0.189908\pi\)
\(642\) 3.03188 3.49898i 0.119659 0.138094i
\(643\) −13.5334 −0.533705 −0.266853 0.963737i \(-0.585984\pi\)
−0.266853 + 0.963737i \(0.585984\pi\)
\(644\) 6.28688 + 7.76264i 0.247738 + 0.305891i
\(645\) 11.6301 0.457934
\(646\) 26.1410 30.1683i 1.02850 1.18696i
\(647\) −4.84456 + 3.11341i −0.190459 + 0.122401i −0.632395 0.774646i \(-0.717928\pi\)
0.441936 + 0.897047i \(0.354292\pi\)
\(648\) −0.435550 3.02932i −0.0171100 0.119003i
\(649\) −14.6551 32.0902i −0.575263 1.25965i
\(650\) 0.777364 5.40669i 0.0304907 0.212068i
\(651\) −13.4981 + 3.96340i −0.529032 + 0.155338i
\(652\) 10.4729 + 6.73052i 0.410150 + 0.263587i
\(653\) −11.0950 + 24.2946i −0.434180 + 0.950722i 0.558450 + 0.829538i \(0.311396\pi\)
−0.992630 + 0.121184i \(0.961331\pi\)
\(654\) −3.07437 0.902716i −0.120217 0.0352990i
\(655\) −7.62418 8.79878i −0.297902 0.343797i
\(656\) 3.37689 + 3.89714i 0.131845 + 0.152158i
\(657\) −14.8384 4.35695i −0.578902 0.169981i
\(658\) 9.68490 21.2070i 0.377557 0.826734i
\(659\) 0.630832 + 0.405411i 0.0245737 + 0.0157926i 0.552870 0.833268i \(-0.313533\pi\)
−0.528296 + 0.849060i \(0.677169\pi\)
\(660\) 2.47645 0.727151i 0.0963957 0.0283043i
\(661\) 0.269130 1.87184i 0.0104680 0.0728063i −0.983918 0.178622i \(-0.942836\pi\)
0.994386 + 0.105815i \(0.0337453\pi\)
\(662\) −3.48420 7.62933i −0.135417 0.296522i
\(663\) −3.17579 22.0881i −0.123338 0.857832i
\(664\) −36.7600 + 23.6242i −1.42656 + 0.916796i
\(665\) −13.7110 + 15.8234i −0.531690 + 0.613604i
\(666\) 6.96997 0.270081
\(667\) −0.550875 5.00870i −0.0213300 0.193938i
\(668\) −5.40523 −0.209135
\(669\) −17.9526 + 20.7184i −0.694088 + 0.801020i
\(670\) 6.37826 4.09906i 0.246414 0.158361i
\(671\) 5.29863 + 36.8528i 0.204551 + 1.42269i
\(672\) 4.51769 + 9.89235i 0.174274 + 0.381606i
\(673\) −4.23121 + 29.4287i −0.163101 + 1.13439i 0.729643 + 0.683828i \(0.239686\pi\)
−0.892744 + 0.450564i \(0.851223\pi\)
\(674\) 13.0714 3.83812i 0.503493 0.147839i
\(675\) 0.841254 + 0.540641i 0.0323799 + 0.0208093i
\(676\) −4.34646 + 9.51742i −0.167172 + 0.366055i
\(677\) −3.60179 1.05758i −0.138428 0.0406462i 0.211784 0.977316i \(-0.432073\pi\)
−0.350213 + 0.936670i \(0.613891\pi\)
\(678\) −12.0967 13.9603i −0.464570 0.536143i
\(679\) −19.0965 22.0386i −0.732857 0.845762i
\(680\) 12.9606 + 3.80557i 0.497015 + 0.145937i
\(681\) 1.33220 2.91711i 0.0510500 0.111784i
\(682\) −15.8434 10.1819i −0.606674 0.389886i
\(683\) −44.7511 + 13.1401i −1.71236 + 0.502793i −0.983351 0.181717i \(-0.941835\pi\)
−0.729004 + 0.684509i \(0.760016\pi\)
\(684\) 0.992239 6.90118i 0.0379392 0.263873i
\(685\) 1.25807 + 2.75479i 0.0480683 + 0.105255i
\(686\) 2.97821 + 20.7139i 0.113709 + 0.790860i
\(687\) 7.69043 4.94234i 0.293408 0.188562i
\(688\) −12.4960 + 14.4212i −0.476407 + 0.549803i
\(689\) 47.2713 1.80089
\(690\) −4.44944 + 2.65470i −0.169387 + 0.101063i
\(691\) −39.2320 −1.49245 −0.746227 0.665692i \(-0.768137\pi\)
−0.746227 + 0.665692i \(0.768137\pi\)
\(692\) 3.40557 3.93024i 0.129460 0.149405i
\(693\) 6.52032 4.19036i 0.247687 0.159178i
\(694\) 4.48723 + 31.2093i 0.170333 + 1.18469i
\(695\) −4.08716 8.94964i −0.155035 0.339479i
\(696\) 0.457625 3.18285i 0.0173462 0.120646i
\(697\) −13.3096 + 3.90805i −0.504136 + 0.148028i
\(698\) 0.876735 + 0.563444i 0.0331849 + 0.0213267i
\(699\) 3.13375 6.86195i 0.118529 0.259543i
\(700\) −1.99851 0.586816i −0.0755367 0.0221796i
\(701\) 4.30521 + 4.96848i 0.162606 + 0.187657i 0.831205 0.555966i \(-0.187651\pi\)
−0.668600 + 0.743623i \(0.733106\pi\)
\(702\) 3.57704 + 4.12812i 0.135007 + 0.155806i
\(703\) 51.8223 + 15.2164i 1.95451 + 0.573897i
\(704\) −10.2725 + 22.4937i −0.387160 + 0.847762i
\(705\) −7.25877 4.66493i −0.273381 0.175691i
\(706\) 23.9575 7.03454i 0.901651 0.264748i
\(707\) 1.47942 10.2896i 0.0556393 0.386980i
\(708\) −3.93833 8.62374i −0.148011 0.324100i
\(709\) −1.66976 11.6135i −0.0627093 0.436153i −0.996854 0.0792584i \(-0.974745\pi\)
0.934145 0.356894i \(-0.116164\pi\)
\(710\) −5.69522 + 3.66010i −0.213738 + 0.137361i
\(711\) 4.41467 5.09480i 0.165563 0.191070i
\(712\) −18.1690 −0.680911
\(713\) −25.6167 8.45659i −0.959353 0.316702i
\(714\) 11.9254 0.446296
\(715\) −10.2610 + 11.8418i −0.383739 + 0.442858i
\(716\) −2.57646 + 1.65579i −0.0962867 + 0.0618797i
\(717\) −1.52835 10.6299i −0.0570772 0.396980i
\(718\) 3.58756 + 7.85566i 0.133887 + 0.293171i
\(719\) −1.47490 + 10.2581i −0.0550044 + 0.382564i 0.943661 + 0.330914i \(0.107357\pi\)
−0.998665 + 0.0516500i \(0.983552\pi\)
\(720\) −1.57428 + 0.462250i −0.0586700 + 0.0172271i
\(721\) 11.3067 + 7.26638i 0.421084 + 0.270614i
\(722\) −22.9266 + 50.2022i −0.853238 + 1.86833i
\(723\) 3.27407 + 0.961355i 0.121764 + 0.0357532i
\(724\) 6.46874 + 7.46533i 0.240409 + 0.277447i
\(725\) 0.688051 + 0.794054i 0.0255536 + 0.0294904i
\(726\) −1.44680 0.424818i −0.0536957 0.0157665i
\(727\) 14.1901 31.0721i 0.526283 1.15240i −0.440722 0.897643i \(-0.645278\pi\)
0.967005 0.254756i \(-0.0819950\pi\)
\(728\) −32.5560 20.9225i −1.20661 0.775439i
\(729\) −0.959493 + 0.281733i −0.0355368 + 0.0104345i
\(730\) −2.37773 + 16.5375i −0.0880039 + 0.612081i
\(731\) −21.3236 46.6921i −0.788681 1.72697i
\(732\) 1.42392 + 9.90360i 0.0526297 + 0.366048i
\(733\) 10.9298 7.02418i 0.403703 0.259444i −0.322996 0.946400i \(-0.604690\pi\)
0.726699 + 0.686956i \(0.241054\pi\)
\(734\) −11.0206 + 12.7184i −0.406776 + 0.469444i
\(735\) 0.745113 0.0274839
\(736\) −3.65252 + 20.5316i −0.134634 + 0.756804i
\(737\) −21.7491 −0.801137
\(738\) 2.22354 2.56610i 0.0818495 0.0944594i
\(739\) −19.9072 + 12.7936i −0.732298 + 0.470619i −0.852895 0.522082i \(-0.825155\pi\)
0.120597 + 0.992701i \(0.461519\pi\)
\(740\) 0.764661 + 5.31833i 0.0281095 + 0.195506i
\(741\) 17.5833 + 38.5020i 0.645939 + 1.41441i
\(742\) −3.59516 + 25.0049i −0.131982 + 0.917958i
\(743\) 6.55913 1.92594i 0.240631 0.0706557i −0.159193 0.987247i \(-0.550889\pi\)
0.399824 + 0.916592i \(0.369071\pi\)
\(744\) −14.4822 9.30717i −0.530945 0.341217i
\(745\) −6.69646 + 14.6632i −0.245339 + 0.537218i
\(746\) 9.84605 + 2.89106i 0.360490 + 0.105849i
\(747\) 9.34995 + 10.7904i 0.342097 + 0.394801i
\(748\) −7.45987 8.60915i −0.272760 0.314782i
\(749\) 10.2837 + 3.01955i 0.375756 + 0.110332i
\(750\) 0.448797 0.982728i 0.0163877 0.0358841i
\(751\) −31.1945 20.0475i −1.13830 0.731544i −0.171027 0.985266i \(-0.554709\pi\)
−0.967277 + 0.253723i \(0.918345\pi\)
\(752\) 13.5837 3.98853i 0.495346 0.145447i
\(753\) −3.70177 + 25.7464i −0.134900 + 0.938251i
\(754\) 2.38412 + 5.22050i 0.0868246 + 0.190119i
\(755\) −0.726865 5.05546i −0.0264533 0.183987i
\(756\) 1.75223 1.12609i 0.0637281 0.0409556i
\(757\) −27.4880 + 31.7228i −0.999067 + 1.15299i −0.0108479 + 0.999941i \(0.503453\pi\)
−0.988219 + 0.153044i \(0.951092\pi\)
\(758\) −34.0835 −1.23797
\(759\) 14.8544 + 0.494187i 0.539182 + 0.0179378i
\(760\) −25.6212 −0.929377
\(761\) −12.2467 + 14.1335i −0.443944 + 0.512338i −0.932982 0.359924i \(-0.882803\pi\)
0.489038 + 0.872263i \(0.337348\pi\)
\(762\) −0.149882 + 0.0963231i −0.00542964 + 0.00348942i
\(763\) −1.05562 7.34198i −0.0382159 0.265798i
\(764\) 2.25503 + 4.93784i 0.0815843 + 0.178645i
\(765\) 0.628124 4.36869i 0.0227099 0.157950i
\(766\) 20.3798 5.98405i 0.736352 0.216213i
\(767\) 48.4182 + 31.1165i 1.74828 + 1.12355i
\(768\) −6.66362 + 14.5913i −0.240453 + 0.526518i
\(769\) −47.7352 14.0163i −1.72138 0.505442i −0.736168 0.676799i \(-0.763367\pi\)
−0.985209 + 0.171357i \(0.945185\pi\)
\(770\) −5.48351 6.32831i −0.197612 0.228056i
\(771\) −11.4976 13.2690i −0.414077 0.477870i
\(772\) −5.71567 1.67827i −0.205711 0.0604023i
\(773\) −2.06267 + 4.51662i −0.0741891 + 0.162451i −0.943093 0.332530i \(-0.892098\pi\)
0.868904 + 0.494981i \(0.164825\pi\)
\(774\) 10.5701 + 6.79297i 0.379933 + 0.244168i
\(775\) 5.39713 1.58474i 0.193871 0.0569256i
\(776\) 5.07847 35.3216i 0.182307 1.26797i
\(777\) 6.70279 + 14.6771i 0.240461 + 0.526536i
\(778\) −2.28201 15.8717i −0.0818139 0.569028i
\(779\) 22.1343 14.2248i 0.793044 0.509658i
\(780\) −2.75747 + 3.18229i −0.0987334 + 0.113944i
\(781\) 19.4200 0.694901
\(782\) 18.8160 + 12.9961i 0.672858 + 0.464741i
\(783\) −1.05068 −0.0375484
\(784\) −0.800592 + 0.923932i −0.0285926 + 0.0329976i
\(785\) 5.39782 3.46897i 0.192656 0.123813i
\(786\) −1.79004 12.4500i −0.0638485 0.444076i
\(787\) −0.556856 1.21935i −0.0198498 0.0434650i 0.899447 0.437029i \(-0.143969\pi\)
−0.919297 + 0.393564i \(0.871242\pi\)
\(788\) −0.339156 + 2.35888i −0.0120819 + 0.0840318i
\(789\) 19.9893 5.86940i 0.711639 0.208956i
\(790\) −6.12694 3.93755i −0.217987 0.140092i
\(791\) 17.7640 38.8978i 0.631617 1.38305i
\(792\) 9.10043 + 2.67213i 0.323370 + 0.0949499i
\(793\) −39.7774 45.9056i −1.41254 1.63016i
\(794\) −3.73127 4.30611i −0.132418 0.152818i
\(795\) 8.97083 + 2.63407i 0.318162 + 0.0934209i
\(796\) −2.01109 + 4.40366i −0.0712810 + 0.156084i
\(797\) 4.56531 + 2.93395i 0.161712 + 0.103926i 0.618994 0.785396i \(-0.287541\pi\)
−0.457282 + 0.889322i \(0.651177\pi\)
\(798\) −21.7035 + 6.37273i −0.768296 + 0.225592i
\(799\) −5.41977 + 37.6953i −0.191738 + 1.33357i
\(800\) −1.80637 3.95539i −0.0638648 0.139844i
\(801\) 0.844875 + 5.87624i 0.0298522 + 0.207627i
\(802\) −6.56055 + 4.21621i −0.231661 + 0.148880i
\(803\) 31.3854 36.2206i 1.10757 1.27820i
\(804\) −5.84472 −0.206127
\(805\) −9.86902 6.81651i −0.347837 0.240250i
\(806\) 30.7253 1.08225
\(807\) 3.09541 3.57230i 0.108964 0.125751i
\(808\) 10.7015 6.87746i 0.376479 0.241948i
\(809\) −0.200280 1.39298i −0.00704147 0.0489745i 0.985998 0.166759i \(-0.0533300\pi\)
−0.993039 + 0.117784i \(0.962421\pi\)
\(810\) 0.448797 + 0.982728i 0.0157691 + 0.0345295i
\(811\) −3.44276 + 23.9449i −0.120892 + 0.840820i 0.835658 + 0.549250i \(0.185087\pi\)
−0.956550 + 0.291570i \(0.905822\pi\)
\(812\) 2.09980 0.616558i 0.0736887 0.0216370i
\(813\) −18.2465 11.7263i −0.639931 0.411259i
\(814\) −8.97316 + 19.6485i −0.314509 + 0.688679i
\(815\) −14.3425 4.21135i −0.502397 0.147517i
\(816\) 4.74224 + 5.47284i 0.166012 + 0.191588i
\(817\) 63.7592 + 73.5821i 2.23065 + 2.57431i
\(818\) −9.76752 2.86800i −0.341513 0.100277i
\(819\) −5.25290 + 11.5022i −0.183551 + 0.401921i
\(820\) 2.20196 + 1.41512i 0.0768959 + 0.0494180i
\(821\) −4.53985 + 1.33302i −0.158442 + 0.0465227i −0.359991 0.932956i \(-0.617220\pi\)
0.201550 + 0.979478i \(0.435402\pi\)
\(822\) −0.465629 + 3.23852i −0.0162407 + 0.112956i
\(823\) −0.223106 0.488535i −0.00777700 0.0170292i 0.905704 0.423911i \(-0.139343\pi\)
−0.913481 + 0.406882i \(0.866616\pi\)
\(824\) 2.34065 + 16.2796i 0.0815406 + 0.567127i
\(825\) −2.60711 + 1.67549i −0.0907679 + 0.0583330i
\(826\) −20.1419 + 23.2450i −0.700826 + 0.808797i
\(827\) −17.4962 −0.608401 −0.304200 0.952608i \(-0.598389\pi\)
−0.304200 + 0.952608i \(0.598389\pi\)
\(828\) 3.99189 + 0.132805i 0.138728 + 0.00461529i
\(829\) 10.9294 0.379594 0.189797 0.981823i \(-0.439217\pi\)
0.189797 + 0.981823i \(0.439217\pi\)
\(830\) 10.1013 11.6575i 0.350621 0.404638i
\(831\) 7.80317 5.01480i 0.270689 0.173961i
\(832\) −5.74142 39.9325i −0.199048 1.38441i
\(833\) −1.36615 2.99146i −0.0473344 0.103648i
\(834\) 1.51272 10.5212i 0.0523811 0.364318i
\(835\) 6.22731 1.82850i 0.215505 0.0632780i
\(836\) 18.1771 + 11.6817i 0.628670 + 0.404021i
\(837\) −2.33670 + 5.11666i −0.0807682 + 0.176858i
\(838\) 22.4581 + 6.59428i 0.775801 + 0.227796i
\(839\) 17.6786 + 20.4022i 0.610335 + 0.704364i 0.973842 0.227228i \(-0.0729662\pi\)
−0.363507 + 0.931591i \(0.618421\pi\)
\(840\) −5.01241 5.78463i −0.172944 0.199589i
\(841\) 26.7661 + 7.85923i 0.922968 + 0.271008i
\(842\) 10.0542 22.0157i 0.346492 0.758712i
\(843\) 1.89355 + 1.21691i 0.0652172 + 0.0419125i
\(844\) 11.7525 3.45084i 0.404538 0.118783i
\(845\) 1.78792 12.4353i 0.0615064 0.427786i
\(846\) −3.87245 8.47948i −0.133137 0.291530i
\(847\) −0.496774 3.45514i −0.0170693 0.118720i
\(848\) −12.9050 + 8.29353i −0.443159 + 0.284801i
\(849\) 7.01989 8.10139i 0.240922 0.278039i
\(850\) −4.76829 −0.163551
\(851\) −5.41917 + 30.4622i −0.185767 + 1.04423i
\(852\) 5.21881 0.178793
\(853\) 18.3304 21.1544i 0.627620 0.724312i −0.349515 0.936931i \(-0.613654\pi\)
0.977135 + 0.212618i \(0.0681991\pi\)
\(854\) 27.3077 17.5496i 0.934450 0.600534i
\(855\) 1.19141 + 8.28644i 0.0407454 + 0.283390i
\(856\) 5.44836 + 11.9302i 0.186221 + 0.407767i
\(857\) 3.79427 26.3897i 0.129610 0.901456i −0.816439 0.577432i \(-0.804055\pi\)
0.946049 0.324024i \(-0.105036\pi\)
\(858\) −16.2423 + 4.76918i −0.554504 + 0.162817i
\(859\) −6.81391 4.37903i −0.232487 0.149411i 0.419211 0.907889i \(-0.362307\pi\)
−0.651698 + 0.758478i \(0.725943\pi\)
\(860\) −4.02365 + 8.81057i −0.137205 + 0.300438i
\(861\) 7.54188 + 2.21449i 0.257026 + 0.0754698i
\(862\) 2.76658 + 3.19281i 0.0942302 + 0.108747i
\(863\) 12.5323 + 14.4630i 0.426604 + 0.492328i 0.927838 0.372985i \(-0.121666\pi\)
−0.501233 + 0.865312i \(0.667120\pi\)
\(864\) 4.17221 + 1.22507i 0.141941 + 0.0416777i
\(865\) −2.59399 + 5.68004i −0.0881983 + 0.193127i
\(866\) 3.62997 + 2.33284i 0.123351 + 0.0792731i
\(867\) −2.37958 + 0.698706i −0.0808146 + 0.0237293i
\(868\) 1.66739 11.5969i 0.0565948 0.393625i
\(869\) 8.67889 + 19.0041i 0.294411 + 0.644671i
\(870\) 0.161544 + 1.12356i 0.00547684 + 0.0380923i
\(871\) 29.8499 19.1833i 1.01142 0.650003i
\(872\) 5.94406 6.85981i 0.201291 0.232303i
\(873\) −11.6599 −0.394628
\(874\) −41.1889 13.5973i −1.39324 0.459935i
\(875\) 2.50098 0.0845485
\(876\) 8.43432 9.73372i 0.284969 0.328872i
\(877\) −12.6924 + 8.15690i −0.428592 + 0.275439i −0.737101 0.675782i \(-0.763806\pi\)
0.308510 + 0.951221i \(0.400170\pi\)
\(878\) −4.43439 30.8418i −0.149653 1.04086i
\(879\) 7.00258 + 15.3335i 0.236191 + 0.517187i
\(880\) 0.723640 5.03303i 0.0243939 0.169663i
\(881\) −31.1776 + 9.15456i −1.05040 + 0.308425i −0.760978 0.648777i \(-0.775281\pi\)
−0.289420 + 0.957202i \(0.593463\pi\)
\(882\) 0.677199 + 0.435210i 0.0228025 + 0.0146543i
\(883\) −2.55962 + 5.60479i −0.0861381 + 0.188616i −0.947799 0.318868i \(-0.896697\pi\)
0.861661 + 0.507484i \(0.169425\pi\)
\(884\) 17.8320 + 5.23594i 0.599754 + 0.176104i
\(885\) 7.45458 + 8.60305i 0.250583 + 0.289188i
\(886\) 23.9816 + 27.6763i 0.805678 + 0.929802i
\(887\) −4.03127 1.18369i −0.135357 0.0397443i 0.213353 0.976975i \(-0.431562\pi\)
−0.348709 + 0.937231i \(0.613380\pi\)
\(888\) −8.20226 + 17.9604i −0.275250 + 0.602713i
\(889\) −0.346969 0.222984i −0.0116370 0.00747863i
\(890\) 6.15392 1.80695i 0.206280 0.0605692i
\(891\) 0.441045 3.06753i 0.0147756 0.102766i
\(892\) −9.48454 20.7682i −0.317566 0.695372i
\(893\) −10.2801 71.4996i −0.344010 2.39264i
\(894\) −14.6507 + 9.41541i −0.489991 + 0.314898i
\(895\) 2.40818 2.77919i 0.0804967 0.0928981i
\(896\) −0.190699 −0.00637081
\(897\) −20.8231 + 12.4238i −0.695263 + 0.414819i
\(898\) −35.6730 −1.19042
\(899\) −3.87028 + 4.46654i −0.129081 + 0.148967i
\(900\) −0.700619 + 0.450261i −0.0233540 + 0.0150087i
\(901\) −5.87267 40.8453i −0.195647 1.36076i
\(902\) 4.37129 + 9.57179i 0.145548 + 0.318706i
\(903\) −4.13945 + 28.7905i −0.137752 + 0.958089i
\(904\) 50.2087 14.7426i 1.66992 0.490332i
\(905\) −9.97798 6.41246i −0.331679 0.213157i
\(906\) 2.29220 5.01923i 0.0761534 0.166753i
\(907\) 9.20830 + 2.70380i 0.305757 + 0.0897782i 0.431012 0.902346i \(-0.358157\pi\)
−0.125255 + 0.992125i \(0.539975\pi\)
\(908\) 1.74901 + 2.01846i 0.0580428 + 0.0669850i
\(909\) −2.72195 3.14130i −0.0902815 0.104190i
\(910\) 13.1077 + 3.84876i 0.434516 + 0.127585i
\(911\) −2.13404 + 4.67291i −0.0707040 + 0.154820i −0.941684 0.336498i \(-0.890757\pi\)
0.870980 + 0.491318i \(0.163485\pi\)
\(912\) −11.5552 7.42609i −0.382631 0.245902i
\(913\) −42.4556 + 12.4661i −1.40507 + 0.412567i
\(914\) 4.29991 29.9065i 0.142228 0.989219i
\(915\) −4.99072 10.9281i −0.164988 0.361273i
\(916\) 1.08350 + 7.53591i 0.0357999 + 0.248994i
\(917\) 24.4952 15.7421i 0.808903 0.519850i
\(918\) 3.12256 3.60363i 0.103060 0.118938i
\(919\) 36.9375 1.21846 0.609228 0.792995i \(-0.291479\pi\)
0.609228 + 0.792995i \(0.291479\pi\)
\(920\) −1.60461 14.5895i −0.0529023 0.481002i
\(921\) −8.01764 −0.264190
\(922\) 23.6425 27.2849i 0.778624 0.898580i
\(923\) −26.6532 + 17.1290i −0.877302 + 0.563808i
\(924\) 0.918645 + 6.38931i 0.0302212 + 0.210193i
\(925\) −2.68007 5.86853i −0.0881201 0.192956i
\(926\) 2.56193 17.8186i 0.0841901 0.585555i
\(927\) 5.15634 1.51404i 0.169356 0.0497275i
\(928\) 3.84347 + 2.47005i 0.126168 + 0.0810832i
\(929\) 4.82155 10.5577i 0.158190 0.346388i −0.813897 0.581009i \(-0.802658\pi\)
0.972087 + 0.234622i \(0.0753852\pi\)
\(930\) 5.83083 + 1.71209i 0.191200 + 0.0561415i
\(931\) 4.08491 + 4.71423i 0.133877 + 0.154503i
\(932\) 4.11421 + 4.74805i 0.134765 + 0.155528i
\(933\) 0.257256 + 0.0755373i 0.00842219 + 0.00247298i
\(934\) −6.96761 + 15.2569i −0.227987 + 0.499222i
\(935\) 11.5068 + 7.39496i 0.376312 + 0.241841i
\(936\) −14.8469 + 4.35945i −0.485287 + 0.142493i
\(937\) 3.71658 25.8494i 0.121415 0.844462i −0.834539 0.550948i \(-0.814266\pi\)
0.955955 0.293514i \(-0.0948248\pi\)
\(938\) 7.87712 + 17.2485i 0.257197 + 0.563183i
\(939\) 0.388249 + 2.70033i 0.0126700 + 0.0881219i
\(940\) 6.04530 3.88508i 0.197176 0.126717i
\(941\) 33.3734 38.5150i 1.08794 1.25555i 0.123192 0.992383i \(-0.460687\pi\)
0.964750 0.263169i \(-0.0847677\pi\)
\(942\) 6.93200 0.225857
\(943\) 9.48632 + 11.7131i 0.308917 + 0.381431i
\(944\) −18.6773 −0.607895
\(945\) −1.63779 + 1.89011i −0.0532774 + 0.0614854i
\(946\) −32.7574 + 21.0519i −1.06504 + 0.684457i
\(947\) −5.79275 40.2895i −0.188239 1.30923i −0.836565 0.547868i \(-0.815439\pi\)
0.648325 0.761363i \(-0.275470\pi\)
\(948\) 2.33231 + 5.10706i 0.0757500 + 0.165869i
\(949\) −11.1276 + 77.3944i −0.361218 + 2.51233i
\(950\) 8.67801 2.54809i 0.281552 0.0826711i
\(951\) 17.5438 + 11.2747i 0.568896 + 0.365607i
\(952\) −14.0338 + 30.7297i −0.454837 + 0.995954i
\(953\) −2.50773 0.736335i −0.0812332 0.0238522i 0.240863 0.970559i \(-0.422569\pi\)
−0.322097 + 0.946707i \(0.604388\pi\)
\(954\) 6.61465 + 7.63372i 0.214157 + 0.247151i
\(955\) −4.26839 4.92599i −0.138122 0.159401i
\(956\) 8.58161 + 2.51979i 0.277549 + 0.0814958i
\(957\) 1.35265 2.96190i 0.0437251 0.0957446i
\(958\) 28.6753 + 18.4285i 0.926457 + 0.595398i
\(959\) −7.26731 + 2.13387i −0.234674 + 0.0689064i
\(960\) 1.13557 7.89803i 0.0366502 0.254908i
\(961\) 0.266042 + 0.582550i 0.00858199 + 0.0187919i
\(962\) −5.01520 34.8815i −0.161697 1.12462i
\(963\) 3.60514 2.31689i 0.116174 0.0746606i
\(964\) −1.86102 + 2.14773i −0.0599394 + 0.0691738i
\(965\) 7.15270 0.230253
\(966\) −4.98809 11.9596i −0.160489 0.384793i
\(967\) −18.2175 −0.585834 −0.292917 0.956138i \(-0.594626\pi\)
−0.292917 + 0.956138i \(0.594626\pi\)
\(968\) 2.79728 3.22823i 0.0899078 0.103759i
\(969\) 31.0837 19.9763i 0.998552 0.641731i
\(970\) 1.79272 + 12.4687i 0.0575609 + 0.400345i
\(971\) −6.86379 15.0296i −0.220269 0.482323i 0.766947 0.641711i \(-0.221775\pi\)
−0.987216 + 0.159388i \(0.949048\pi\)
\(972\) 0.118524 0.824351i 0.00380165 0.0264411i
\(973\) 23.6097 6.93245i 0.756894 0.222244i
\(974\) 26.0433 + 16.7370i 0.834483 + 0.536289i
\(975\) 2.10034 4.59910i 0.0672647 0.147289i
\(976\) 18.9131 + 5.55339i 0.605394 + 0.177760i
\(977\) −20.6690 23.8533i −0.661261 0.763136i 0.321722 0.946834i \(-0.395739\pi\)
−0.982983 + 0.183698i \(0.941193\pi\)
\(978\) −10.5755 12.2048i −0.338167 0.390266i
\(979\) −17.6529 5.18337i −0.564190 0.165661i
\(980\) −0.257786 + 0.564473i −0.00823468 + 0.0180314i
\(981\) −2.49502 1.60345i −0.0796598 0.0511942i
\(982\) 10.9554 3.21679i 0.349600 0.102652i
\(983\) 2.15677 15.0006i 0.0687902 0.478446i −0.926083 0.377319i \(-0.876846\pi\)
0.994874 0.101127i \(-0.0322449\pi\)
\(984\) 3.99574 + 8.74946i 0.127380 + 0.278923i
\(985\) −0.407235 2.83238i −0.0129756 0.0902471i
\(986\) 4.21465 2.70859i 0.134222 0.0862590i
\(987\) 14.1317 16.3089i 0.449817 0.519117i
\(988\) −35.2512 −1.12149
\(989\) −37.9069 + 40.9149i −1.20537 + 1.30102i
\(990\) −3.34811 −0.106410
\(991\) −16.9186 + 19.5251i −0.537436 + 0.620234i −0.957909 0.287071i \(-0.907318\pi\)
0.420474 + 0.907305i \(0.361864\pi\)
\(992\) 20.5765 13.2237i 0.653305 0.419854i
\(993\) −1.10485 7.68440i −0.0350614 0.243857i
\(994\) −7.03356 15.4014i −0.223091 0.488501i
\(995\) 0.827262 5.75374i 0.0262260 0.182406i
\(996\) −11.4093 + 3.35006i −0.361516 + 0.106151i
\(997\) 47.8504 + 30.7516i 1.51544 + 0.973912i 0.992593 + 0.121484i \(0.0387654\pi\)
0.522844 + 0.852428i \(0.324871\pi\)
\(998\) 15.5521 34.0544i 0.492294 1.07797i
\(999\) 6.19021 + 1.81761i 0.195850 + 0.0575066i
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 345.2.m.c.16.4 50
23.6 even 11 7935.2.a.bv.1.8 25
23.13 even 11 inner 345.2.m.c.151.4 yes 50
23.17 odd 22 7935.2.a.bw.1.8 25
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
345.2.m.c.16.4 50 1.1 even 1 trivial
345.2.m.c.151.4 yes 50 23.13 even 11 inner
7935.2.a.bv.1.8 25 23.6 even 11
7935.2.a.bw.1.8 25 23.17 odd 22