Properties

Label 201.2.m.a.16.4
Level $201$
Weight $2$
Character 201.16
Analytic conductor $1.605$
Analytic rank $0$
Dimension $100$
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] = [201,2,Mod(4,201)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(201, base_ring=CyclotomicField(66))
 
chi = DirichletCharacter(H, H._module([0, 2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("201.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 201 = 3 \cdot 67 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 201.m (of order \(33\), degree \(20\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(1.60499308063\)
Analytic rank: \(0\)
Dimension: \(100\)
Relative dimension: \(5\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 16.4
Character \(\chi\) \(=\) 201.16
Dual form 201.2.m.a.88.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.618425 + 0.119192i) q^{2} +(-0.415415 - 0.909632i) q^{3} +(-1.48849 - 0.595903i) q^{4} +(0.388724 - 0.114140i) q^{5} +(-0.148482 - 0.612053i) q^{6} +(-1.43299 - 4.14037i) q^{7} +(-1.90915 - 1.22694i) q^{8} +(-0.654861 + 0.755750i) q^{9} +O(q^{10})\) \(q+(0.618425 + 0.119192i) q^{2} +(-0.415415 - 0.909632i) q^{3} +(-1.48849 - 0.595903i) q^{4} +(0.388724 - 0.114140i) q^{5} +(-0.148482 - 0.612053i) q^{6} +(-1.43299 - 4.14037i) q^{7} +(-1.90915 - 1.22694i) q^{8} +(-0.654861 + 0.755750i) q^{9} +(0.254001 - 0.0242541i) q^{10} +(0.0680902 - 0.280672i) q^{11} +(0.0762902 + 1.60153i) q^{12} +(0.970194 + 0.500170i) q^{13} +(-0.392703 - 2.73131i) q^{14} +(-0.265307 - 0.306180i) q^{15} +(1.28636 + 1.22655i) q^{16} +(3.87621 - 1.55180i) q^{17} +(-0.495061 + 0.389321i) q^{18} +(0.256804 - 0.741987i) q^{19} +(-0.646629 - 0.0617455i) q^{20} +(-3.17092 + 3.02347i) q^{21} +(0.0755624 - 0.165459i) q^{22} +(2.39267 - 3.36004i) q^{23} +(-0.322971 + 2.24631i) q^{24} +(-4.06819 + 2.61447i) q^{25} +(0.540376 + 0.424956i) q^{26} +(0.959493 + 0.281733i) q^{27} +(-0.334253 + 7.01683i) q^{28} +(1.40643 - 2.43601i) q^{29} +(-0.127578 - 0.220972i) q^{30} +(-3.40818 + 1.75704i) q^{31} +(3.28210 + 4.60906i) q^{32} +(-0.283594 + 0.0546582i) q^{33} +(2.58211 - 0.497660i) q^{34} +(-1.02962 - 1.44590i) q^{35} +(1.42511 - 0.734695i) q^{36} +(2.89740 + 5.01844i) q^{37} +(0.247253 - 0.428254i) q^{38} +(0.0519373 - 1.09030i) q^{39} +(-0.882173 - 0.259029i) q^{40} +(9.43987 + 7.42360i) q^{41} +(-2.32135 + 1.49184i) q^{42} +(0.727762 - 5.06169i) q^{43} +(-0.268605 + 0.377203i) q^{44} +(-0.168299 + 0.368523i) q^{45} +(1.88018 - 1.79275i) q^{46} +(7.62961 + 0.728539i) q^{47} +(0.581330 - 1.67964i) q^{48} +(-9.58679 + 7.53913i) q^{49} +(-2.82749 + 1.13196i) q^{50} +(-3.02180 - 2.88128i) q^{51} +(-1.14607 - 1.32264i) q^{52} +(-1.47330 - 10.2470i) q^{53} +(0.559794 + 0.288594i) q^{54} +(-0.00556747 - 0.116876i) q^{55} +(-2.34416 + 9.66277i) q^{56} +(-0.781615 + 0.0746352i) q^{57} +(1.16012 - 1.33885i) q^{58} +(-9.96927 - 6.40686i) q^{59} +(0.212453 + 0.613844i) q^{60} +(-1.48709 - 6.12985i) q^{61} +(-2.31713 + 0.680371i) q^{62} +(4.06749 + 1.62838i) q^{63} +(0.00365348 + 0.00800000i) q^{64} +(0.434226 + 0.0836903i) q^{65} -0.181896 q^{66} +(4.56322 + 6.79537i) q^{67} -6.69443 q^{68} +(-4.05035 - 0.780642i) q^{69} +(-0.464403 - 1.01690i) q^{70} +(4.87282 + 1.95078i) q^{71} +(2.17748 - 0.639366i) q^{72} +(1.19611 + 4.93043i) q^{73} +(1.19367 + 3.44887i) q^{74} +(4.06819 + 2.61447i) q^{75} +(-0.824403 + 0.951412i) q^{76} +(-1.25966 + 0.120283i) q^{77} +(0.162074 - 0.668077i) q^{78} +(-0.388114 - 8.14751i) q^{79} +(0.640038 + 0.329962i) q^{80} +(-0.142315 - 0.989821i) q^{81} +(4.95302 + 5.71609i) q^{82} +(0.222290 + 0.211953i) q^{83} +(6.52159 - 2.61085i) q^{84} +(1.32965 - 1.04565i) q^{85} +(1.05338 - 3.04354i) q^{86} +(-2.80012 - 0.267379i) q^{87} +(-0.474360 + 0.452302i) q^{88} +(3.39287 - 7.42935i) q^{89} +(-0.148005 + 0.207844i) q^{90} +(0.680603 - 4.73370i) q^{91} +(-5.56374 + 3.57560i) q^{92} +(3.01407 + 2.37029i) q^{93} +(4.63150 + 1.35993i) q^{94} +(0.0151358 - 0.317739i) q^{95} +(2.82912 - 4.90018i) q^{96} +(-6.89881 - 11.9491i) q^{97} +(-6.82731 + 3.51972i) q^{98} +(0.167528 + 0.235260i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 100 q + 2 q^{2} + 10 q^{3} + 6 q^{4} - 2 q^{5} + 9 q^{6} + q^{7} - 45 q^{8} - 10 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 100 q + 2 q^{2} + 10 q^{3} + 6 q^{4} - 2 q^{5} + 9 q^{6} + q^{7} - 45 q^{8} - 10 q^{9} - 25 q^{10} + 9 q^{11} + 5 q^{12} - 3 q^{13} + 22 q^{14} - 9 q^{15} - 46 q^{17} + 2 q^{18} - 14 q^{19} - 16 q^{20} - q^{21} - 17 q^{22} + 12 q^{23} + 12 q^{24} - 44 q^{25} - 7 q^{26} + 10 q^{27} - 90 q^{28} + 43 q^{29} - 30 q^{30} - 10 q^{31} + 20 q^{32} - 42 q^{33} + 20 q^{34} + 3 q^{35} - 5 q^{36} + 50 q^{37} + 16 q^{38} + 3 q^{39} + 55 q^{40} - 48 q^{41} - 45 q^{43} - 147 q^{44} - 2 q^{45} + 47 q^{46} + 44 q^{47} - 64 q^{49} - 54 q^{50} + 24 q^{51} - 34 q^{52} + 68 q^{53} - 2 q^{54} - 17 q^{55} + 111 q^{56} + 3 q^{57} + 88 q^{58} - 2 q^{59} - 6 q^{60} + 21 q^{61} + 86 q^{62} + 23 q^{63} + 19 q^{64} + 6 q^{65} + 94 q^{66} + 20 q^{67} - 202 q^{68} + 21 q^{69} - 20 q^{70} + q^{71} + 32 q^{72} + 10 q^{73} + 67 q^{74} + 44 q^{75} - 90 q^{76} - 62 q^{77} + 51 q^{78} - 29 q^{79} + 199 q^{80} - 10 q^{81} - 36 q^{82} + 43 q^{83} - 75 q^{84} + 93 q^{85} - 83 q^{86} + 12 q^{87} + 54 q^{88} + 21 q^{89} - 25 q^{90} + 58 q^{91} - 192 q^{92} - q^{93} + 14 q^{94} - 109 q^{95} - 9 q^{96} - 35 q^{97} - 15 q^{98} - 2 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).

\(n\) \(68\) \(136\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{33}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.618425 + 0.119192i 0.437293 + 0.0842812i 0.403146 0.915136i \(-0.367917\pi\)
0.0341464 + 0.999417i \(0.489129\pi\)
\(3\) −0.415415 0.909632i −0.239840 0.525176i
\(4\) −1.48849 0.595903i −0.744247 0.297951i
\(5\) 0.388724 0.114140i 0.173843 0.0510448i −0.193653 0.981070i \(-0.562034\pi\)
0.367495 + 0.930025i \(0.380215\pi\)
\(6\) −0.148482 0.612053i −0.0606177 0.249870i
\(7\) −1.43299 4.14037i −0.541621 1.56491i −0.800706 0.599057i \(-0.795542\pi\)
0.259085 0.965854i \(-0.416579\pi\)
\(8\) −1.90915 1.22694i −0.674986 0.433787i
\(9\) −0.654861 + 0.755750i −0.218287 + 0.251917i
\(10\) 0.254001 0.0242541i 0.0803221 0.00766983i
\(11\) 0.0680902 0.280672i 0.0205300 0.0846257i −0.960625 0.277848i \(-0.910379\pi\)
0.981155 + 0.193223i \(0.0618939\pi\)
\(12\) 0.0762902 + 1.60153i 0.0220231 + 0.462321i
\(13\) 0.970194 + 0.500170i 0.269083 + 0.138722i 0.587488 0.809233i \(-0.300117\pi\)
−0.318405 + 0.947955i \(0.603147\pi\)
\(14\) −0.392703 2.73131i −0.104954 0.729972i
\(15\) −0.265307 0.306180i −0.0685019 0.0790554i
\(16\) 1.28636 + 1.22655i 0.321591 + 0.306636i
\(17\) 3.87621 1.55180i 0.940119 0.376367i 0.149560 0.988753i \(-0.452214\pi\)
0.790559 + 0.612386i \(0.209790\pi\)
\(18\) −0.495061 + 0.389321i −0.116687 + 0.0917637i
\(19\) 0.256804 0.741987i 0.0589149 0.170223i −0.911703 0.410850i \(-0.865232\pi\)
0.970618 + 0.240627i \(0.0773531\pi\)
\(20\) −0.646629 0.0617455i −0.144591 0.0138067i
\(21\) −3.17092 + 3.02347i −0.691952 + 0.659775i
\(22\) 0.0755624 0.165459i 0.0161100 0.0352759i
\(23\) 2.39267 3.36004i 0.498907 0.700617i −0.485950 0.873987i \(-0.661526\pi\)
0.984857 + 0.173370i \(0.0554656\pi\)
\(24\) −0.322971 + 2.24631i −0.0659261 + 0.458526i
\(25\) −4.06819 + 2.61447i −0.813638 + 0.522893i
\(26\) 0.540376 + 0.424956i 0.105976 + 0.0833408i
\(27\) 0.959493 + 0.281733i 0.184655 + 0.0542195i
\(28\) −0.334253 + 7.01683i −0.0631679 + 1.32606i
\(29\) 1.40643 2.43601i 0.261168 0.452355i −0.705385 0.708824i \(-0.749226\pi\)
0.966552 + 0.256469i \(0.0825592\pi\)
\(30\) −0.127578 0.220972i −0.0232925 0.0403438i
\(31\) −3.40818 + 1.75704i −0.612128 + 0.315574i −0.736267 0.676691i \(-0.763413\pi\)
0.124139 + 0.992265i \(0.460383\pi\)
\(32\) 3.28210 + 4.60906i 0.580199 + 0.814775i
\(33\) −0.283594 + 0.0546582i −0.0493673 + 0.00951477i
\(34\) 2.58211 0.497660i 0.442828 0.0853480i
\(35\) −1.02962 1.44590i −0.174037 0.244401i
\(36\) 1.42511 0.734695i 0.237518 0.122449i
\(37\) 2.89740 + 5.01844i 0.476329 + 0.825026i 0.999632 0.0271205i \(-0.00863377\pi\)
−0.523303 + 0.852147i \(0.675300\pi\)
\(38\) 0.247253 0.428254i 0.0401097 0.0694720i
\(39\) 0.0519373 1.09030i 0.00831662 0.174587i
\(40\) −0.882173 0.259029i −0.139484 0.0409561i
\(41\) 9.43987 + 7.42360i 1.47426 + 1.15937i 0.951805 + 0.306705i \(0.0992265\pi\)
0.522456 + 0.852666i \(0.325016\pi\)
\(42\) −2.32135 + 1.49184i −0.358192 + 0.230196i
\(43\) 0.727762 5.06169i 0.110983 0.771901i −0.855985 0.517001i \(-0.827048\pi\)
0.966967 0.254900i \(-0.0820426\pi\)
\(44\) −0.268605 + 0.377203i −0.0404937 + 0.0568655i
\(45\) −0.168299 + 0.368523i −0.0250885 + 0.0549362i
\(46\) 1.88018 1.79275i 0.277217 0.264326i
\(47\) 7.62961 + 0.728539i 1.11289 + 0.106268i 0.635265 0.772294i \(-0.280891\pi\)
0.477627 + 0.878563i \(0.341497\pi\)
\(48\) 0.581330 1.67964i 0.0839078 0.242436i
\(49\) −9.58679 + 7.53913i −1.36954 + 1.07702i
\(50\) −2.82749 + 1.13196i −0.399868 + 0.160083i
\(51\) −3.02180 2.88128i −0.423137 0.403460i
\(52\) −1.14607 1.32264i −0.158932 0.183417i
\(53\) −1.47330 10.2470i −0.202373 1.40754i −0.797216 0.603695i \(-0.793695\pi\)
0.594842 0.803842i \(-0.297214\pi\)
\(54\) 0.559794 + 0.288594i 0.0761784 + 0.0392727i
\(55\) −0.00556747 0.116876i −0.000750717 0.0157595i
\(56\) −2.34416 + 9.66277i −0.313252 + 1.29124i
\(57\) −0.781615 + 0.0746352i −0.103527 + 0.00988567i
\(58\) 1.16012 1.33885i 0.152332 0.175800i
\(59\) −9.96927 6.40686i −1.29789 0.834103i −0.304908 0.952382i \(-0.598626\pi\)
−0.992980 + 0.118279i \(0.962262\pi\)
\(60\) 0.212453 + 0.613844i 0.0274276 + 0.0792469i
\(61\) −1.48709 6.12985i −0.190402 0.784847i −0.984257 0.176741i \(-0.943445\pi\)
0.793856 0.608106i \(-0.208071\pi\)
\(62\) −2.31713 + 0.680371i −0.294276 + 0.0864072i
\(63\) 4.06749 + 1.62838i 0.512456 + 0.205156i
\(64\) 0.00365348 + 0.00800000i 0.000456685 + 0.00100000i
\(65\) 0.434226 + 0.0836903i 0.0538592 + 0.0103805i
\(66\) −0.181896 −0.0223899
\(67\) 4.56322 + 6.79537i 0.557486 + 0.830187i
\(68\) −6.69443 −0.811819
\(69\) −4.05035 0.780642i −0.487605 0.0939782i
\(70\) −0.464403 1.01690i −0.0555068 0.121543i
\(71\) 4.87282 + 1.95078i 0.578298 + 0.231515i 0.642325 0.766433i \(-0.277970\pi\)
−0.0640270 + 0.997948i \(0.520394\pi\)
\(72\) 2.17748 0.639366i 0.256619 0.0753501i
\(73\) 1.19611 + 4.93043i 0.139994 + 0.577063i 0.997988 + 0.0634032i \(0.0201954\pi\)
−0.857994 + 0.513660i \(0.828289\pi\)
\(74\) 1.19367 + 3.44887i 0.138761 + 0.400923i
\(75\) 4.06819 + 2.61447i 0.469754 + 0.301893i
\(76\) −0.824403 + 0.951412i −0.0945655 + 0.109134i
\(77\) −1.25966 + 0.120283i −0.143551 + 0.0137075i
\(78\) 0.162074 0.668077i 0.0183512 0.0756448i
\(79\) −0.388114 8.14751i −0.0436662 0.916667i −0.909339 0.416056i \(-0.863412\pi\)
0.865673 0.500611i \(-0.166891\pi\)
\(80\) 0.640038 + 0.329962i 0.0715584 + 0.0368909i
\(81\) −0.142315 0.989821i −0.0158128 0.109980i
\(82\) 4.95302 + 5.71609i 0.546970 + 0.631237i
\(83\) 0.222290 + 0.211953i 0.0243995 + 0.0232648i 0.702181 0.711999i \(-0.252210\pi\)
−0.677781 + 0.735264i \(0.737058\pi\)
\(84\) 6.52159 2.61085i 0.711564 0.284867i
\(85\) 1.32965 1.04565i 0.144221 0.113417i
\(86\) 1.05338 3.04354i 0.113589 0.328193i
\(87\) −2.80012 0.267379i −0.300205 0.0286661i
\(88\) −0.474360 + 0.452302i −0.0505670 + 0.0482155i
\(89\) 3.39287 7.42935i 0.359644 0.787509i −0.640171 0.768233i \(-0.721136\pi\)
0.999814 0.0192767i \(-0.00613635\pi\)
\(90\) −0.148005 + 0.207844i −0.0156011 + 0.0219087i
\(91\) 0.680603 4.73370i 0.0713466 0.496226i
\(92\) −5.56374 + 3.57560i −0.580060 + 0.372782i
\(93\) 3.01407 + 2.37029i 0.312545 + 0.245788i
\(94\) 4.63150 + 1.35993i 0.477703 + 0.140266i
\(95\) 0.0151358 0.317739i 0.00155290 0.0325994i
\(96\) 2.82912 4.90018i 0.288746 0.500122i
\(97\) −6.89881 11.9491i −0.700468 1.21325i −0.968302 0.249781i \(-0.919641\pi\)
0.267834 0.963465i \(-0.413692\pi\)
\(98\) −6.82731 + 3.51972i −0.689662 + 0.355546i
\(99\) 0.167528 + 0.235260i 0.0168372 + 0.0236445i
\(100\) 7.61344 1.46737i 0.761344 0.146737i
\(101\) −1.34947 + 0.260089i −0.134277 + 0.0258798i −0.255947 0.966691i \(-0.582387\pi\)
0.121670 + 0.992571i \(0.461175\pi\)
\(102\) −1.52533 2.14203i −0.151031 0.212093i
\(103\) 2.46292 1.26972i 0.242679 0.125110i −0.332597 0.943069i \(-0.607925\pi\)
0.575276 + 0.817959i \(0.304895\pi\)
\(104\) −1.23857 2.14526i −0.121452 0.210360i
\(105\) −0.887515 + 1.53722i −0.0866126 + 0.150017i
\(106\) 0.310234 6.51262i 0.0301326 0.632562i
\(107\) 2.98063 + 0.875191i 0.288148 + 0.0846079i 0.422612 0.906311i \(-0.361113\pi\)
−0.134464 + 0.990918i \(0.542931\pi\)
\(108\) −1.26031 0.991121i −0.121274 0.0953707i
\(109\) −15.7284 + 10.1080i −1.50651 + 0.968172i −0.512519 + 0.858676i \(0.671287\pi\)
−0.993987 + 0.109496i \(0.965076\pi\)
\(110\) 0.0104875 0.0729423i 0.000999946 0.00695478i
\(111\) 3.36131 4.72030i 0.319041 0.448031i
\(112\) 3.23500 7.08365i 0.305678 0.669342i
\(113\) −4.94996 + 4.71978i −0.465653 + 0.443999i −0.886222 0.463261i \(-0.846679\pi\)
0.420569 + 0.907261i \(0.361831\pi\)
\(114\) −0.492266 0.0470057i −0.0461050 0.00440249i
\(115\) 0.546575 1.57923i 0.0509684 0.147264i
\(116\) −3.54509 + 2.78789i −0.329153 + 0.258849i
\(117\) −1.01334 + 0.405682i −0.0936838 + 0.0375053i
\(118\) −5.40160 5.15042i −0.497258 0.474134i
\(119\) −11.9796 13.8252i −1.09817 1.26735i
\(120\) 0.130847 + 0.910057i 0.0119446 + 0.0830765i
\(121\) 9.70305 + 5.00227i 0.882095 + 0.454752i
\(122\) −0.189024 3.96810i −0.0171134 0.359255i
\(123\) 2.83128 11.6707i 0.255288 1.05231i
\(124\) 6.12008 0.584397i 0.549600 0.0524804i
\(125\) −2.60952 + 3.01155i −0.233403 + 0.269361i
\(126\) 2.32135 + 1.49184i 0.206802 + 0.132904i
\(127\) −0.623890 1.80261i −0.0553613 0.159956i 0.913930 0.405873i \(-0.133032\pi\)
−0.969291 + 0.245917i \(0.920911\pi\)
\(128\) −2.66665 10.9921i −0.235701 0.971573i
\(129\) −4.90660 + 1.44071i −0.432002 + 0.126847i
\(130\) 0.258561 + 0.103512i 0.0226773 + 0.00907863i
\(131\) 8.45635 + 18.5168i 0.738835 + 1.61782i 0.785462 + 0.618910i \(0.212425\pi\)
−0.0466272 + 0.998912i \(0.514847\pi\)
\(132\) 0.454698 + 0.0876359i 0.0395764 + 0.00762773i
\(133\) −3.44010 −0.298294
\(134\) 2.01206 + 4.74632i 0.173815 + 0.410020i
\(135\) 0.405134 0.0348684
\(136\) −9.30422 1.79324i −0.797830 0.153769i
\(137\) 2.39258 + 5.23901i 0.204411 + 0.447599i 0.983877 0.178846i \(-0.0572365\pi\)
−0.779466 + 0.626445i \(0.784509\pi\)
\(138\) −2.41179 0.965536i −0.205305 0.0821919i
\(139\) 2.54617 0.747623i 0.215963 0.0634126i −0.171961 0.985104i \(-0.555010\pi\)
0.387924 + 0.921691i \(0.373192\pi\)
\(140\) 0.670966 + 2.76576i 0.0567070 + 0.233749i
\(141\) −2.50675 7.24278i −0.211106 0.609952i
\(142\) 2.78096 + 1.78721i 0.233373 + 0.149980i
\(143\) 0.206444 0.238249i 0.0172637 0.0199234i
\(144\) −1.76935 + 0.168953i −0.147446 + 0.0140794i
\(145\) 0.268668 1.10746i 0.0223116 0.0919698i
\(146\) 0.152038 + 3.19167i 0.0125827 + 0.264144i
\(147\) 10.8403 + 5.58858i 0.894095 + 0.460938i
\(148\) −1.32225 9.19648i −0.108689 0.755946i
\(149\) 10.5284 + 12.1504i 0.862521 + 0.995402i 0.999988 + 0.00489552i \(0.00155830\pi\)
−0.137467 + 0.990506i \(0.543896\pi\)
\(150\) 2.20425 + 2.10175i 0.179976 + 0.171607i
\(151\) 19.9817 7.99948i 1.62609 0.650989i 0.633640 0.773628i \(-0.281560\pi\)
0.992451 + 0.122639i \(0.0391358\pi\)
\(152\) −1.40065 + 1.10148i −0.113607 + 0.0893419i
\(153\) −1.36561 + 3.94566i −0.110403 + 0.318988i
\(154\) −0.793340 0.0757548i −0.0639291 0.00610449i
\(155\) −1.12429 + 1.07201i −0.0903055 + 0.0861061i
\(156\) −0.727019 + 1.59195i −0.0582081 + 0.127458i
\(157\) −1.95130 + 2.74022i −0.155731 + 0.218693i −0.885069 0.465460i \(-0.845889\pi\)
0.729338 + 0.684154i \(0.239828\pi\)
\(158\) 0.731096 5.08489i 0.0581629 0.404532i
\(159\) −8.70899 + 5.59693i −0.690668 + 0.443865i
\(160\) 1.80191 + 1.41703i 0.142453 + 0.112026i
\(161\) −17.3405 5.09163i −1.36662 0.401276i
\(162\) 0.0299674 0.629093i 0.00235446 0.0494262i
\(163\) −4.73069 + 8.19379i −0.370536 + 0.641787i −0.989648 0.143515i \(-0.954159\pi\)
0.619112 + 0.785303i \(0.287493\pi\)
\(164\) −9.62744 16.6752i −0.751777 1.30212i
\(165\) −0.104001 + 0.0536162i −0.00809646 + 0.00417401i
\(166\) 0.112206 + 0.157572i 0.00870891 + 0.0122300i
\(167\) −7.74780 + 1.49327i −0.599543 + 0.115552i −0.479988 0.877275i \(-0.659359\pi\)
−0.119555 + 0.992828i \(0.538147\pi\)
\(168\) 9.76336 1.88173i 0.753260 0.145179i
\(169\) −6.84963 9.61896i −0.526895 0.739920i
\(170\) 0.946923 0.488173i 0.0726257 0.0374412i
\(171\) 0.392585 + 0.679977i 0.0300217 + 0.0519992i
\(172\) −4.09955 + 7.10062i −0.312587 + 0.541417i
\(173\) −0.933198 + 19.5902i −0.0709497 + 1.48942i 0.630216 + 0.776420i \(0.282966\pi\)
−0.701166 + 0.712998i \(0.747337\pi\)
\(174\) −1.69980 0.499105i −0.128861 0.0378371i
\(175\) 16.6545 + 13.0973i 1.25897 + 0.990061i
\(176\) 0.431846 0.277530i 0.0325516 0.0209196i
\(177\) −1.68650 + 11.7299i −0.126765 + 0.881672i
\(178\) 2.98375 4.19009i 0.223642 0.314061i
\(179\) −6.42107 + 14.0602i −0.479933 + 1.05091i 0.502549 + 0.864549i \(0.332396\pi\)
−0.982482 + 0.186358i \(0.940331\pi\)
\(180\) 0.470116 0.448255i 0.0350404 0.0334109i
\(181\) 0.687197 + 0.0656194i 0.0510790 + 0.00487745i 0.120564 0.992706i \(-0.461530\pi\)
−0.0694853 + 0.997583i \(0.522136\pi\)
\(182\) 0.985119 2.84632i 0.0730219 0.210983i
\(183\) −4.95815 + 3.89913i −0.366517 + 0.288232i
\(184\) −8.69052 + 3.47916i −0.640674 + 0.256487i
\(185\) 1.69909 + 1.62008i 0.124920 + 0.119111i
\(186\) 1.58146 + 1.82510i 0.115958 + 0.133823i
\(187\) −0.171614 1.19361i −0.0125497 0.0872850i
\(188\) −10.9225 5.63093i −0.796604 0.410678i
\(189\) −0.208472 4.37637i −0.0151641 0.318334i
\(190\) 0.0472322 0.194694i 0.00342659 0.0141246i
\(191\) 12.1961 1.16458i 0.882477 0.0842664i 0.356030 0.934474i \(-0.384130\pi\)
0.526447 + 0.850208i \(0.323524\pi\)
\(192\) 0.00575935 0.00664664i 0.000415645 0.000479680i
\(193\) 15.0501 + 9.67213i 1.08333 + 0.696215i 0.955325 0.295558i \(-0.0955056\pi\)
0.128007 + 0.991773i \(0.459142\pi\)
\(194\) −2.84217 8.21190i −0.204056 0.589580i
\(195\) −0.104257 0.429752i −0.00746599 0.0307752i
\(196\) 18.7625 5.50915i 1.34018 0.393511i
\(197\) 23.3460 + 9.34633i 1.66333 + 0.665899i 0.996827 0.0795997i \(-0.0253642\pi\)
0.666507 + 0.745498i \(0.267788\pi\)
\(198\) 0.0755624 + 0.165459i 0.00536999 + 0.0117586i
\(199\) −10.2769 1.98071i −0.728510 0.140409i −0.188507 0.982072i \(-0.560365\pi\)
−0.540003 + 0.841663i \(0.681577\pi\)
\(200\) 10.9746 0.776018
\(201\) 4.28566 6.97375i 0.302287 0.491890i
\(202\) −0.865545 −0.0608995
\(203\) −12.1014 2.33235i −0.849350 0.163699i
\(204\) 2.78097 + 6.08947i 0.194707 + 0.426348i
\(205\) 4.51683 + 1.80827i 0.315469 + 0.126295i
\(206\) 1.67447 0.491669i 0.116666 0.0342562i
\(207\) 0.972481 + 4.00862i 0.0675921 + 0.278618i
\(208\) 0.634542 + 1.83339i 0.0439976 + 0.127123i
\(209\) −0.190769 0.122600i −0.0131958 0.00848040i
\(210\) −0.732085 + 0.844872i −0.0505187 + 0.0583017i
\(211\) −9.85501 + 0.941039i −0.678447 + 0.0647838i −0.428590 0.903499i \(-0.640990\pi\)
−0.249857 + 0.968283i \(0.580383\pi\)
\(212\) −3.91323 + 16.1306i −0.268762 + 1.10785i
\(213\) −0.249748 5.24286i −0.0171125 0.359235i
\(214\) 1.73898 + 0.896506i 0.118874 + 0.0612839i
\(215\) −0.294841 2.05067i −0.0201080 0.139854i
\(216\) −1.48615 1.71510i −0.101119 0.116698i
\(217\) 12.1587 + 11.5933i 0.825387 + 0.787005i
\(218\) −10.9316 + 4.37636i −0.740382 + 0.296404i
\(219\) 3.98799 3.13619i 0.269484 0.211924i
\(220\) −0.0613593 + 0.177286i −0.00413684 + 0.0119526i
\(221\) 4.53684 + 0.433216i 0.305181 + 0.0291412i
\(222\) 2.64134 2.51851i 0.177275 0.169031i
\(223\) −9.30413 + 20.3732i −0.623051 + 1.36429i 0.290229 + 0.956957i \(0.406269\pi\)
−0.913280 + 0.407333i \(0.866459\pi\)
\(224\) 14.3800 20.1939i 0.960803 1.34926i
\(225\) 0.688215 4.78664i 0.0458810 0.319110i
\(226\) −3.62374 + 2.32884i −0.241047 + 0.154912i
\(227\) −14.7538 11.6025i −0.979242 0.770084i −0.00602679 0.999982i \(-0.501918\pi\)
−0.973215 + 0.229898i \(0.926161\pi\)
\(228\) 1.20790 + 0.354673i 0.0799954 + 0.0234888i
\(229\) −0.0285418 + 0.599166i −0.00188610 + 0.0395940i −0.999614 0.0277756i \(-0.991158\pi\)
0.997728 + 0.0673696i \(0.0214607\pi\)
\(230\) 0.526246 0.911486i 0.0346997 0.0601016i
\(231\) 0.632693 + 1.09586i 0.0416282 + 0.0721021i
\(232\) −5.67391 + 2.92510i −0.372510 + 0.192042i
\(233\) 10.4495 + 14.6742i 0.684568 + 0.961342i 0.999924 + 0.0123679i \(0.00393691\pi\)
−0.315355 + 0.948974i \(0.602124\pi\)
\(234\) −0.675032 + 0.130102i −0.0441282 + 0.00850501i
\(235\) 3.04896 0.587640i 0.198892 0.0383334i
\(236\) 11.0213 + 15.4773i 0.717427 + 1.00749i
\(237\) −7.25001 + 3.73764i −0.470939 + 0.242786i
\(238\) −5.76064 9.97772i −0.373407 0.646760i
\(239\) 2.83481 4.91003i 0.183369 0.317604i −0.759657 0.650324i \(-0.774633\pi\)
0.943026 + 0.332720i \(0.107966\pi\)
\(240\) 0.0342631 0.719270i 0.00221167 0.0464287i
\(241\) −25.7457 7.55961i −1.65842 0.486957i −0.687468 0.726214i \(-0.741278\pi\)
−0.970956 + 0.239257i \(0.923096\pi\)
\(242\) 5.40438 + 4.25005i 0.347407 + 0.273204i
\(243\) −0.841254 + 0.540641i −0.0539664 + 0.0346821i
\(244\) −1.43928 + 10.0104i −0.0921404 + 0.640850i
\(245\) −2.86610 + 4.02487i −0.183108 + 0.257140i
\(246\) 3.14198 6.87998i 0.200325 0.438651i
\(247\) 0.620269 0.591425i 0.0394668 0.0376315i
\(248\) 8.66251 + 0.827169i 0.550070 + 0.0525253i
\(249\) 0.100457 0.290250i 0.00636617 0.0183939i
\(250\) −1.97274 + 1.55138i −0.124767 + 0.0981181i
\(251\) −9.81078 + 3.92764i −0.619251 + 0.247911i −0.660008 0.751258i \(-0.729447\pi\)
0.0407572 + 0.999169i \(0.487023\pi\)
\(252\) −5.08408 4.84766i −0.320267 0.305374i
\(253\) −0.780151 0.900342i −0.0490476 0.0566040i
\(254\) −0.170973 1.18914i −0.0107278 0.0746135i
\(255\) −1.50351 0.775116i −0.0941538 0.0485396i
\(256\) −0.339796 7.13320i −0.0212373 0.445825i
\(257\) −2.36848 + 9.76302i −0.147742 + 0.609001i 0.849003 + 0.528387i \(0.177203\pi\)
−0.996745 + 0.0806134i \(0.974312\pi\)
\(258\) −3.20609 + 0.306144i −0.199602 + 0.0190597i
\(259\) 16.6262 19.1877i 1.03310 1.19226i
\(260\) −0.596472 0.383329i −0.0369916 0.0237731i
\(261\) 0.919996 + 2.65816i 0.0569463 + 0.164536i
\(262\) 3.02257 + 12.4592i 0.186735 + 0.769732i
\(263\) 24.7140 7.25668i 1.52393 0.447466i 0.590743 0.806859i \(-0.298835\pi\)
0.933186 + 0.359393i \(0.117016\pi\)
\(264\) 0.608484 + 0.243600i 0.0374496 + 0.0149926i
\(265\) −1.74230 3.81510i −0.107028 0.234360i
\(266\) −2.12744 0.410031i −0.130442 0.0251406i
\(267\) −8.16742 −0.499838
\(268\) −2.74294 12.8341i −0.167551 0.783967i
\(269\) −20.8669 −1.27227 −0.636137 0.771576i \(-0.719469\pi\)
−0.636137 + 0.771576i \(0.719469\pi\)
\(270\) 0.250545 + 0.0482886i 0.0152477 + 0.00293875i
\(271\) −8.49882 18.6098i −0.516267 1.13047i −0.970834 0.239754i \(-0.922933\pi\)
0.454567 0.890712i \(-0.349794\pi\)
\(272\) 6.88957 + 2.75817i 0.417742 + 0.167239i
\(273\) −4.58866 + 1.34735i −0.277718 + 0.0815454i
\(274\) 0.855182 + 3.52511i 0.0516634 + 0.212960i
\(275\) 0.456803 + 1.31985i 0.0275463 + 0.0795897i
\(276\) 5.56374 + 3.57560i 0.334898 + 0.215226i
\(277\) −7.12955 + 8.22794i −0.428373 + 0.494369i −0.928369 0.371659i \(-0.878789\pi\)
0.499997 + 0.866027i \(0.333335\pi\)
\(278\) 1.66373 0.158867i 0.0997837 0.00952819i
\(279\) 0.904003 3.72635i 0.0541212 0.223091i
\(280\) 0.191673 + 4.02371i 0.0114546 + 0.240462i
\(281\) −20.7104 10.6769i −1.23548 0.636932i −0.288268 0.957550i \(-0.593079\pi\)
−0.947209 + 0.320618i \(0.896110\pi\)
\(282\) −0.686958 4.77790i −0.0409078 0.284520i
\(283\) −9.08478 10.4844i −0.540034 0.623232i 0.418498 0.908218i \(-0.362557\pi\)
−0.958532 + 0.284985i \(0.908011\pi\)
\(284\) −6.09068 5.80746i −0.361416 0.344609i
\(285\) −0.295313 + 0.118226i −0.0174929 + 0.00700308i
\(286\) 0.156068 0.122733i 0.00922847 0.00725735i
\(287\) 17.2091 49.7225i 1.01582 2.93503i
\(288\) −5.63261 0.537850i −0.331905 0.0316931i
\(289\) 0.313443 0.298867i 0.0184378 0.0175804i
\(290\) 0.298151 0.652860i 0.0175080 0.0383373i
\(291\) −8.00341 + 11.2392i −0.469168 + 0.658854i
\(292\) 1.15766 8.05167i 0.0677467 0.471188i
\(293\) 18.2892 11.7537i 1.06847 0.686661i 0.116600 0.993179i \(-0.462800\pi\)
0.951865 + 0.306518i \(0.0991640\pi\)
\(294\) 6.03782 + 4.74819i 0.352133 + 0.276920i
\(295\) −4.60657 1.35261i −0.268205 0.0787520i
\(296\) 0.625738 13.1359i 0.0363703 0.763506i
\(297\) 0.144406 0.250119i 0.00837931 0.0145134i
\(298\) 5.06280 + 8.76903i 0.293280 + 0.507976i
\(299\) 4.00195 2.06315i 0.231439 0.119315i
\(300\) −4.49750 6.31586i −0.259664 0.364646i
\(301\) −22.0001 + 4.24018i −1.26807 + 0.244400i
\(302\) 13.3107 2.56542i 0.765944 0.147624i
\(303\) 0.797174 + 1.11947i 0.0457965 + 0.0643121i
\(304\) 1.24042 0.639483i 0.0711432 0.0366769i
\(305\) −1.27772 2.21308i −0.0731623 0.126721i
\(306\) −1.31481 + 2.27732i −0.0751629 + 0.130186i
\(307\) −1.09410 + 22.9680i −0.0624437 + 1.31086i 0.722536 + 0.691334i \(0.242977\pi\)
−0.784979 + 0.619522i \(0.787327\pi\)
\(308\) 1.94667 + 0.571593i 0.110922 + 0.0325695i
\(309\) −2.17812 1.71289i −0.123909 0.0974428i
\(310\) −0.823066 + 0.528953i −0.0467470 + 0.0300425i
\(311\) 1.29846 9.03098i 0.0736288 0.512100i −0.919316 0.393521i \(-0.871257\pi\)
0.992945 0.118579i \(-0.0378339\pi\)
\(312\) −1.43688 + 2.01782i −0.0813473 + 0.114236i
\(313\) 8.25241 18.0703i 0.466454 1.02139i −0.519515 0.854461i \(-0.673887\pi\)
0.985969 0.166930i \(-0.0533854\pi\)
\(314\) −1.53334 + 1.46204i −0.0865316 + 0.0825077i
\(315\) 1.76699 + 0.168727i 0.0995588 + 0.00950671i
\(316\) −4.27742 + 12.3588i −0.240624 + 0.695237i
\(317\) 18.4105 14.4782i 1.03404 0.813175i 0.0513922 0.998679i \(-0.483634\pi\)
0.982644 + 0.185504i \(0.0593917\pi\)
\(318\) −6.05296 + 2.42324i −0.339433 + 0.135889i
\(319\) −0.587954 0.560613i −0.0329191 0.0313883i
\(320\) 0.00233331 + 0.00269278i 0.000130436 + 0.000150531i
\(321\) −0.442096 3.07484i −0.0246754 0.171621i
\(322\) −10.1169 5.21563i −0.563793 0.290656i
\(323\) −0.155989 3.27460i −0.00867944 0.182204i
\(324\) −0.378003 + 1.55815i −0.0210001 + 0.0865638i
\(325\) −5.25461 + 0.501754i −0.291473 + 0.0278323i
\(326\) −3.90221 + 4.50339i −0.216123 + 0.249419i
\(327\) 15.7284 + 10.1080i 0.869782 + 0.558975i
\(328\) −8.91385 25.7549i −0.492185 1.42207i
\(329\) −7.91677 32.6334i −0.436465 1.79914i
\(330\) −0.0707074 + 0.0207616i −0.00389231 + 0.00114289i
\(331\) 7.76688 + 3.10939i 0.426907 + 0.170908i 0.575158 0.818042i \(-0.304940\pi\)
−0.148252 + 0.988950i \(0.547365\pi\)
\(332\) −0.204573 0.447953i −0.0112274 0.0245846i
\(333\) −5.69007 1.09667i −0.311814 0.0600972i
\(334\) −4.96942 −0.271915
\(335\) 2.54945 + 2.12068i 0.139291 + 0.115865i
\(336\) −7.78738 −0.424837
\(337\) 3.99071 + 0.769146i 0.217388 + 0.0418981i 0.296782 0.954945i \(-0.404086\pi\)
−0.0793943 + 0.996843i \(0.525299\pi\)
\(338\) −3.08948 6.76503i −0.168046 0.367969i
\(339\) 6.34955 + 2.54198i 0.344860 + 0.138061i
\(340\) −2.60228 + 0.764100i −0.141129 + 0.0414391i
\(341\) 0.261088 + 1.07622i 0.0141387 + 0.0582805i
\(342\) 0.161737 + 0.467308i 0.00874573 + 0.0252691i
\(343\) 19.1519 + 12.3082i 1.03410 + 0.664579i
\(344\) −7.59978 + 8.77061i −0.409753 + 0.472880i
\(345\) −1.66357 + 0.158852i −0.0895636 + 0.00855229i
\(346\) −2.91211 + 12.0039i −0.156556 + 0.645332i
\(347\) 0.196313 + 4.12111i 0.0105386 + 0.221233i 0.997993 + 0.0633272i \(0.0201712\pi\)
−0.987454 + 0.157906i \(0.949526\pi\)
\(348\) 4.00863 + 2.06659i 0.214885 + 0.110781i
\(349\) −0.877406 6.10249i −0.0469665 0.326659i −0.999736 0.0229655i \(-0.992689\pi\)
0.952770 0.303693i \(-0.0982199\pi\)
\(350\) 8.73850 + 10.0848i 0.467092 + 0.539053i
\(351\) 0.789980 + 0.753245i 0.0421660 + 0.0402052i
\(352\) 1.51711 0.607360i 0.0808624 0.0323724i
\(353\) 25.9893 20.4382i 1.38327 1.08782i 0.397894 0.917432i \(-0.369741\pi\)
0.985378 0.170385i \(-0.0545011\pi\)
\(354\) −2.44108 + 7.05303i −0.129742 + 0.374864i
\(355\) 2.11684 + 0.202134i 0.112350 + 0.0107282i
\(356\) −9.47743 + 9.03671i −0.502303 + 0.478945i
\(357\) −7.59934 + 16.6402i −0.402200 + 0.880695i
\(358\) −5.64681 + 7.92983i −0.298443 + 0.419105i
\(359\) 3.06600 21.3245i 0.161817 1.12547i −0.733388 0.679811i \(-0.762062\pi\)
0.895205 0.445655i \(-0.147029\pi\)
\(360\) 0.773462 0.497074i 0.0407650 0.0261981i
\(361\) 14.4504 + 11.3639i 0.760548 + 0.598102i
\(362\) 0.417159 + 0.122489i 0.0219254 + 0.00643787i
\(363\) 0.519432 10.9042i 0.0272631 0.572323i
\(364\) −3.83390 + 6.64050i −0.200951 + 0.348057i
\(365\) 1.02771 + 1.78005i 0.0537929 + 0.0931721i
\(366\) −3.53099 + 1.82035i −0.184568 + 0.0951513i
\(367\) 12.4194 + 17.4405i 0.648285 + 0.910389i 0.999666 0.0258437i \(-0.00822721\pi\)
−0.351381 + 0.936233i \(0.614288\pi\)
\(368\) 7.19909 1.38751i 0.375279 0.0723290i
\(369\) −11.7922 + 2.27276i −0.613877 + 0.118315i
\(370\) 0.857659 + 1.20441i 0.0445876 + 0.0626145i
\(371\) −40.3152 + 20.7839i −2.09306 + 1.07905i
\(372\) −3.07396 5.32426i −0.159377 0.276050i
\(373\) −14.7465 + 25.5417i −0.763546 + 1.32250i 0.177467 + 0.984127i \(0.443210\pi\)
−0.941012 + 0.338373i \(0.890124\pi\)
\(374\) 0.0361371 0.758610i 0.00186860 0.0392268i
\(375\) 3.82343 + 1.12266i 0.197441 + 0.0579740i
\(376\) −13.6722 10.7519i −0.705089 0.554488i
\(377\) 2.58293 1.65995i 0.133028 0.0854916i
\(378\) 0.392703 2.73131i 0.0201984 0.140483i
\(379\) 2.76535 3.88340i 0.142047 0.199477i −0.737423 0.675431i \(-0.763958\pi\)
0.879470 + 0.475954i \(0.157897\pi\)
\(380\) −0.211871 + 0.463933i −0.0108688 + 0.0237993i
\(381\) −1.38054 + 1.31634i −0.0707272 + 0.0674383i
\(382\) 7.68117 + 0.733463i 0.393003 + 0.0375272i
\(383\) −1.21831 + 3.52007i −0.0622526 + 0.179867i −0.971838 0.235650i \(-0.924278\pi\)
0.909585 + 0.415517i \(0.136399\pi\)
\(384\) −8.89099 + 6.99195i −0.453717 + 0.356807i
\(385\) −0.475929 + 0.190533i −0.0242556 + 0.00971048i
\(386\) 8.15454 + 7.77534i 0.415055 + 0.395754i
\(387\) 3.34879 + 3.86471i 0.170229 + 0.196454i
\(388\) 3.14834 + 21.8972i 0.159833 + 1.11166i
\(389\) 34.5495 + 17.8115i 1.75173 + 0.903080i 0.953861 + 0.300248i \(0.0970696\pi\)
0.797869 + 0.602831i \(0.205961\pi\)
\(390\) −0.0132521 0.278196i −0.000671047 0.0140870i
\(391\) 4.06039 16.7372i 0.205343 0.846435i
\(392\) 27.5526 2.63096i 1.39162 0.132883i
\(393\) 13.3306 15.3843i 0.672440 0.776037i
\(394\) 13.3238 + 8.56266i 0.671241 + 0.431380i
\(395\) −1.08082 3.12283i −0.0543821 0.157127i
\(396\) −0.109172 0.450013i −0.00548610 0.0226140i
\(397\) 23.6332 6.93932i 1.18611 0.348275i 0.371586 0.928398i \(-0.378814\pi\)
0.814528 + 0.580124i \(0.196996\pi\)
\(398\) −6.11941 2.44984i −0.306738 0.122799i
\(399\) 1.42907 + 3.12922i 0.0715428 + 0.156657i
\(400\) −8.43994 1.62666i −0.421997 0.0813332i
\(401\) −10.1002 −0.504381 −0.252191 0.967678i \(-0.581151\pi\)
−0.252191 + 0.967678i \(0.581151\pi\)
\(402\) 3.48157 3.80192i 0.173645 0.189623i
\(403\) −4.18542 −0.208491
\(404\) 2.16366 + 0.417012i 0.107646 + 0.0207471i
\(405\) −0.168299 0.368523i −0.00836284 0.0183121i
\(406\) −7.20580 2.88477i −0.357618 0.143168i
\(407\) 1.60582 0.471511i 0.0795974 0.0233719i
\(408\) 2.23392 + 9.20836i 0.110596 + 0.455882i
\(409\) −12.6777 36.6299i −0.626873 1.81123i −0.583413 0.812176i \(-0.698283\pi\)
−0.0434605 0.999055i \(-0.513838\pi\)
\(410\) 2.57779 + 1.65664i 0.127308 + 0.0818159i
\(411\) 3.77166 4.35273i 0.186042 0.214704i
\(412\) −4.42267 + 0.422314i −0.217889 + 0.0208059i
\(413\) −12.2408 + 50.4574i −0.602333 + 2.48285i
\(414\) 0.123612 + 2.59494i 0.00607522 + 0.127534i
\(415\) 0.110601 + 0.0570190i 0.00542921 + 0.00279895i
\(416\) 0.878959 + 6.11329i 0.0430945 + 0.299729i
\(417\) −1.73778 2.00551i −0.0850995 0.0982100i
\(418\) −0.103363 0.0985568i −0.00505567 0.00482057i
\(419\) −10.3202 + 4.13160i −0.504177 + 0.201842i −0.609786 0.792566i \(-0.708745\pi\)
0.105610 + 0.994408i \(0.466321\pi\)
\(420\) 2.23709 1.75927i 0.109159 0.0858436i
\(421\) 10.3793 29.9889i 0.505854 1.46157i −0.346223 0.938152i \(-0.612536\pi\)
0.852077 0.523417i \(-0.175343\pi\)
\(422\) −6.20675 0.592673i −0.302140 0.0288508i
\(423\) −5.54692 + 5.28898i −0.269701 + 0.257159i
\(424\) −9.75969 + 21.3707i −0.473972 + 1.03785i
\(425\) −11.7120 + 16.4472i −0.568117 + 0.797808i
\(426\) 0.470455 3.27208i 0.0227936 0.158533i
\(427\) −23.2488 + 14.9411i −1.12509 + 0.723052i
\(428\) −3.91511 3.07888i −0.189244 0.148823i
\(429\) −0.302479 0.0888159i −0.0146038 0.00428807i
\(430\) 0.0620851 1.30333i 0.00299401 0.0628520i
\(431\) −16.3607 + 28.3375i −0.788067 + 1.36497i 0.139083 + 0.990281i \(0.455584\pi\)
−0.927150 + 0.374691i \(0.877749\pi\)
\(432\) 0.888700 + 1.53927i 0.0427576 + 0.0740583i
\(433\) −8.63410 + 4.45119i −0.414929 + 0.213911i −0.653034 0.757329i \(-0.726504\pi\)
0.238105 + 0.971239i \(0.423474\pi\)
\(434\) 6.13742 + 8.61880i 0.294606 + 0.413716i
\(435\) −1.11899 + 0.215668i −0.0536516 + 0.0103405i
\(436\) 29.4350 5.67313i 1.40968 0.271694i
\(437\) −1.87866 2.63820i −0.0898683 0.126202i
\(438\) 2.84008 1.46416i 0.135704 0.0699605i
\(439\) 4.15991 + 7.20518i 0.198542 + 0.343884i 0.948056 0.318104i \(-0.103046\pi\)
−0.749514 + 0.661988i \(0.769713\pi\)
\(440\) −0.132770 + 0.229964i −0.00632954 + 0.0109631i
\(441\) 0.580314 12.1823i 0.0276340 0.580109i
\(442\) 2.75406 + 0.808665i 0.130997 + 0.0384643i
\(443\) 0.0625257 + 0.0491708i 0.00297069 + 0.00233617i 0.619643 0.784884i \(-0.287277\pi\)
−0.616673 + 0.787220i \(0.711520\pi\)
\(444\) −7.81613 + 5.02312i −0.370937 + 0.238387i
\(445\) 0.470906 3.27522i 0.0223231 0.155261i
\(446\) −8.18222 + 11.4903i −0.387440 + 0.544083i
\(447\) 6.67876 14.6244i 0.315895 0.691712i
\(448\) 0.0278875 0.0265907i 0.00131756 0.00125629i
\(449\) 17.1341 + 1.63611i 0.808609 + 0.0772128i 0.491167 0.871065i \(-0.336570\pi\)
0.317441 + 0.948278i \(0.397176\pi\)
\(450\) 0.996138 2.87815i 0.0469584 0.135677i
\(451\) 2.72636 2.14403i 0.128379 0.100958i
\(452\) 10.1805 4.07566i 0.478851 0.191703i
\(453\) −15.5773 14.8529i −0.731886 0.697852i
\(454\) −7.74118 8.93379i −0.363311 0.419284i
\(455\) −0.275736 1.91778i −0.0129267 0.0899071i
\(456\) 1.58379 + 0.816501i 0.0741678 + 0.0382362i
\(457\) −0.0823772 1.72931i −0.00385344 0.0808937i 0.996121 0.0879897i \(-0.0280443\pi\)
−0.999975 + 0.00709604i \(0.997741\pi\)
\(458\) −0.0890666 + 0.367137i −0.00416181 + 0.0171552i
\(459\) 4.15639 0.396887i 0.194004 0.0185251i
\(460\) −1.75464 + 2.02496i −0.0818104 + 0.0944143i
\(461\) −11.1284 7.15177i −0.518300 0.333091i 0.255199 0.966888i \(-0.417859\pi\)
−0.773499 + 0.633798i \(0.781495\pi\)
\(462\) 0.260656 + 0.753117i 0.0121268 + 0.0350382i
\(463\) −0.134536 0.554564i −0.00625240 0.0257728i 0.968600 0.248625i \(-0.0799785\pi\)
−0.974852 + 0.222852i \(0.928463\pi\)
\(464\) 4.79706 1.40854i 0.222698 0.0653900i
\(465\) 1.44219 + 0.577364i 0.0668797 + 0.0267746i
\(466\) 4.71317 + 10.3204i 0.218334 + 0.478084i
\(467\) −36.8756 7.10720i −1.70640 0.328882i −0.759525 0.650478i \(-0.774568\pi\)
−0.946877 + 0.321596i \(0.895781\pi\)
\(468\) 1.75010 0.0808986
\(469\) 21.5963 28.6311i 0.997222 1.32206i
\(470\) 1.95560 0.0902050
\(471\) 3.30319 + 0.636637i 0.152203 + 0.0293347i
\(472\) 11.1720 + 24.4633i 0.514234 + 1.12601i
\(473\) −1.37112 0.548914i −0.0630442 0.0252391i
\(474\) −4.92908 + 1.44731i −0.226400 + 0.0664771i
\(475\) 0.895172 + 3.68995i 0.0410733 + 0.169306i
\(476\) 9.59309 + 27.7174i 0.439698 + 1.27043i
\(477\) 8.70899 + 5.59693i 0.398757 + 0.256266i
\(478\) 2.33835 2.69860i 0.106954 0.123431i
\(479\) 5.31128 0.507166i 0.242678 0.0231730i 0.0269920 0.999636i \(-0.491407\pi\)
0.215686 + 0.976463i \(0.430801\pi\)
\(480\) 0.540441 2.22773i 0.0246676 0.101681i
\(481\) 0.300966 + 6.31805i 0.0137229 + 0.288078i
\(482\) −15.0207 7.74372i −0.684175 0.352717i
\(483\) 2.57199 + 17.8886i 0.117030 + 0.813959i
\(484\) −11.4621 13.2279i −0.521003 0.601269i
\(485\) −4.04559 3.85747i −0.183701 0.175159i
\(486\) −0.584692 + 0.234075i −0.0265222 + 0.0106179i
\(487\) 29.8761 23.4948i 1.35382 1.06465i 0.362665 0.931920i \(-0.381867\pi\)
0.991152 0.132733i \(-0.0423754\pi\)
\(488\) −4.68186 + 13.5274i −0.211938 + 0.612355i
\(489\) 9.41853 + 0.899361i 0.425921 + 0.0406705i
\(490\) −2.25220 + 2.14747i −0.101744 + 0.0970126i
\(491\) −11.2055 + 24.5367i −0.505698 + 1.10733i 0.468877 + 0.883264i \(0.344659\pi\)
−0.974575 + 0.224061i \(0.928068\pi\)
\(492\) −11.1689 + 15.6846i −0.503534 + 0.707115i
\(493\) 1.67142 11.6250i 0.0752770 0.523563i
\(494\) 0.454083 0.291821i 0.0204302 0.0131297i
\(495\) 0.0919745 + 0.0723296i 0.00413395 + 0.00325097i
\(496\) −6.53926 1.92010i −0.293621 0.0862150i
\(497\) 1.09423 22.9707i 0.0490830 1.03038i
\(498\) 0.0967202 0.167524i 0.00433414 0.00750694i
\(499\) 9.34568 + 16.1872i 0.418370 + 0.724638i 0.995776 0.0918194i \(-0.0292682\pi\)
−0.577406 + 0.816457i \(0.695935\pi\)
\(500\) 5.67884 2.92765i 0.253966 0.130928i
\(501\) 4.57688 + 6.42732i 0.204480 + 0.287152i
\(502\) −6.53537 + 1.25959i −0.291688 + 0.0562183i
\(503\) −3.70145 + 0.713396i −0.165039 + 0.0318087i −0.271101 0.962551i \(-0.587388\pi\)
0.106062 + 0.994360i \(0.466176\pi\)
\(504\) −5.76753 8.09936i −0.256906 0.360774i
\(505\) −0.494884 + 0.255130i −0.0220220 + 0.0113531i
\(506\) −0.375151 0.649781i −0.0166775 0.0288863i
\(507\) −5.90428 + 10.2265i −0.262218 + 0.454175i
\(508\) −0.145525 + 3.05495i −0.00645665 + 0.135542i
\(509\) 18.7610 + 5.50874i 0.831568 + 0.244171i 0.669691 0.742640i \(-0.266427\pi\)
0.161878 + 0.986811i \(0.448245\pi\)
\(510\) −0.837424 0.658557i −0.0370818 0.0291614i
\(511\) 18.6998 12.0176i 0.827228 0.531627i
\(512\) −2.57935 + 17.9398i −0.113992 + 0.792833i
\(513\) 0.455443 0.639581i 0.0201083 0.0282382i
\(514\) −2.62840 + 5.75539i −0.115934 + 0.253860i
\(515\) 0.812470 0.774688i 0.0358017 0.0341368i
\(516\) 8.16197 + 0.779373i 0.359311 + 0.0343100i
\(517\) 0.723982 2.09181i 0.0318407 0.0919976i
\(518\) 12.5691 9.88443i 0.552254 0.434297i
\(519\) 18.2076 7.28921i 0.799224 0.319961i
\(520\) −0.726320 0.692545i −0.0318512 0.0303701i
\(521\) −14.7399 17.0107i −0.645766 0.745253i 0.334618 0.942354i \(-0.391393\pi\)
−0.980383 + 0.197101i \(0.936847\pi\)
\(522\) 0.252119 + 1.75353i 0.0110349 + 0.0767497i
\(523\) −7.76923 4.00532i −0.339725 0.175140i 0.279919 0.960024i \(-0.409692\pi\)
−0.619643 + 0.784883i \(0.712723\pi\)
\(524\) −1.55299 32.6013i −0.0678428 1.42420i
\(525\) 4.99516 20.5903i 0.218006 0.898635i
\(526\) 16.1487 1.54201i 0.704116 0.0672349i
\(527\) −10.4843 + 12.0995i −0.456702 + 0.527062i
\(528\) −0.431846 0.277530i −0.0187937 0.0120780i
\(529\) 1.95758 + 5.65606i 0.0851122 + 0.245916i
\(530\) −0.622752 2.56702i −0.0270506 0.111504i
\(531\) 11.3705 3.33867i 0.493436 0.144886i
\(532\) 5.12056 + 2.04996i 0.222004 + 0.0888771i
\(533\) 5.44545 + 11.9239i 0.235869 + 0.516480i
\(534\) −5.05094 0.973489i −0.218575 0.0421270i
\(535\) 1.25853 0.0544112
\(536\) −0.374378 18.5721i −0.0161707 0.802194i
\(537\) 15.4570 0.667019
\(538\) −12.9046 2.48715i −0.556356 0.107229i
\(539\) 1.46325 + 3.20408i 0.0630268 + 0.138010i
\(540\) −0.603040 0.241421i −0.0259507 0.0103891i
\(541\) −11.7519 + 3.45067i −0.505254 + 0.148356i −0.524419 0.851461i \(-0.675717\pi\)
0.0191652 + 0.999816i \(0.493899\pi\)
\(542\) −3.03775 12.5218i −0.130482 0.537856i
\(543\) −0.225782 0.652356i −0.00968925 0.0279953i
\(544\) 19.8745 + 12.7725i 0.852110 + 0.547618i
\(545\) −4.96027 + 5.72446i −0.212475 + 0.245209i
\(546\) −2.99833 + 0.286306i −0.128317 + 0.0122528i
\(547\) −0.965759 + 3.98091i −0.0412929 + 0.170212i −0.988724 0.149747i \(-0.952154\pi\)
0.947431 + 0.319959i \(0.103669\pi\)
\(548\) −0.439392 9.22397i −0.0187699 0.394028i
\(549\) 5.60647 + 2.89034i 0.239278 + 0.123356i
\(550\) 0.125184 + 0.870672i 0.00533785 + 0.0371256i
\(551\) −1.44631 1.66913i −0.0616148 0.0711073i
\(552\) 6.77493 + 6.45988i 0.288360 + 0.274951i
\(553\) −33.1775 + 13.2823i −1.41085 + 0.564820i
\(554\) −5.38979 + 4.23858i −0.228990 + 0.180080i
\(555\) 0.767848 2.21855i 0.0325933 0.0941722i
\(556\) −4.23547 0.404438i −0.179624 0.0171520i
\(557\) 7.63992 7.28465i 0.323714 0.308660i −0.510744 0.859733i \(-0.670630\pi\)
0.834457 + 0.551073i \(0.185781\pi\)
\(558\) 1.00321 2.19672i 0.0424692 0.0929945i
\(559\) 3.23778 4.54682i 0.136943 0.192310i
\(560\) 0.448994 3.12282i 0.0189735 0.131963i
\(561\) −1.01445 + 0.651947i −0.0428301 + 0.0275252i
\(562\) −11.5352 9.07138i −0.486583 0.382653i
\(563\) −28.4180 8.34427i −1.19768 0.351669i −0.378712 0.925515i \(-0.623633\pi\)
−0.818964 + 0.573845i \(0.805451\pi\)
\(564\) −0.584712 + 12.2746i −0.0246208 + 0.516854i
\(565\) −1.38545 + 2.39968i −0.0582865 + 0.100955i
\(566\) −4.36860 7.56664i −0.183626 0.318050i
\(567\) −3.89429 + 2.00764i −0.163545 + 0.0843131i
\(568\) −6.90945 9.70297i −0.289914 0.407128i
\(569\) −38.7132 + 7.46135i −1.62294 + 0.312796i −0.918033 0.396503i \(-0.870224\pi\)
−0.704907 + 0.709299i \(0.749011\pi\)
\(570\) −0.196721 + 0.0379148i −0.00823972 + 0.00158808i
\(571\) −9.59288 13.4713i −0.401449 0.563757i 0.563526 0.826099i \(-0.309445\pi\)
−0.964975 + 0.262342i \(0.915505\pi\)
\(572\) −0.449264 + 0.231612i −0.0187847 + 0.00968418i
\(573\) −6.12578 10.6102i −0.255908 0.443246i
\(574\) 16.5691 28.6985i 0.691579 1.19785i
\(575\) −0.949137 + 19.9248i −0.0395818 + 0.830924i
\(576\) −0.00843852 0.00247777i −0.000351605 0.000103240i
\(577\) 20.0358 + 15.7563i 0.834100 + 0.655944i 0.941030 0.338323i \(-0.109860\pi\)
−0.106930 + 0.994267i \(0.534102\pi\)
\(578\) 0.229463 0.147467i 0.00954442 0.00613382i
\(579\) 2.54603 17.7080i 0.105809 0.735920i
\(580\) −1.05985 + 1.48835i −0.0440079 + 0.0618004i
\(581\) 0.559022 1.22409i 0.0231921 0.0507837i
\(582\) −6.28913 + 5.99667i −0.260693 + 0.248570i
\(583\) −2.97637 0.284209i −0.123269 0.0117707i
\(584\) 3.76577 10.8805i 0.155828 0.450237i
\(585\) −0.347607 + 0.273361i −0.0143718 + 0.0113021i
\(586\) 12.7114 5.08889i 0.525104 0.210220i
\(587\) −3.77612 3.60052i −0.155857 0.148609i 0.608138 0.793831i \(-0.291917\pi\)
−0.763995 + 0.645222i \(0.776765\pi\)
\(588\) −12.8055 14.7783i −0.528090 0.609449i
\(589\) 0.428465 + 2.98004i 0.0176546 + 0.122791i
\(590\) −2.68760 1.38555i −0.110647 0.0570423i
\(591\) −1.19656 25.1189i −0.0492199 1.03325i
\(592\) −2.42824 + 10.0093i −0.0997999 + 0.411381i
\(593\) 32.9347 3.14488i 1.35246 0.129145i 0.606475 0.795102i \(-0.292583\pi\)
0.745990 + 0.665958i \(0.231977\pi\)
\(594\) 0.119117 0.137468i 0.00488742 0.00564038i
\(595\) −6.23476 4.00684i −0.255600 0.164264i
\(596\) −8.43099 24.3597i −0.345347 0.997814i
\(597\) 2.46746 + 10.1710i 0.100986 + 0.416272i
\(598\) 2.72081 0.798903i 0.111262 0.0326696i
\(599\) −5.74594 2.30033i −0.234773 0.0939887i 0.251293 0.967911i \(-0.419144\pi\)
−0.486066 + 0.873922i \(0.661568\pi\)
\(600\) −4.55900 9.98281i −0.186120 0.407546i
\(601\) 4.80056 + 0.925232i 0.195819 + 0.0377410i 0.286218 0.958165i \(-0.407602\pi\)
−0.0903986 + 0.995906i \(0.528814\pi\)
\(602\) −14.1108 −0.575115
\(603\) −8.12387 1.00137i −0.330830 0.0407790i
\(604\) −34.5096 −1.40418
\(605\) 4.34276 + 0.836999i 0.176558 + 0.0340288i
\(606\) 0.359560 + 0.787328i 0.0146061 + 0.0319830i
\(607\) 6.66157 + 2.66689i 0.270385 + 0.108246i 0.502893 0.864349i \(-0.332269\pi\)
−0.232508 + 0.972594i \(0.574693\pi\)
\(608\) 4.26272 1.25165i 0.172876 0.0507610i
\(609\) 2.90551 + 11.9767i 0.117737 + 0.485320i
\(610\) −0.526396 1.52092i −0.0213131 0.0615803i
\(611\) 7.03780 + 4.52292i 0.284719 + 0.182978i
\(612\) 4.38392 5.05932i 0.177210 0.204511i
\(613\) −30.7779 + 2.93894i −1.24311 + 0.118702i −0.695804 0.718231i \(-0.744952\pi\)
−0.547304 + 0.836934i \(0.684346\pi\)
\(614\) −3.41422 + 14.0736i −0.137787 + 0.567964i
\(615\) −0.231502 4.85983i −0.00933508 0.195967i
\(616\) 2.55245 + 1.31588i 0.102841 + 0.0530183i
\(617\) −2.20544 15.3392i −0.0887876 0.617531i −0.984825 0.173552i \(-0.944476\pi\)
0.896037 0.443979i \(-0.146434\pi\)
\(618\) −1.14284 1.31891i −0.0459717 0.0530542i
\(619\) 3.14850 + 3.00209i 0.126549 + 0.120664i 0.750711 0.660631i \(-0.229711\pi\)
−0.624162 + 0.781295i \(0.714560\pi\)
\(620\) 2.31232 0.925713i 0.0928650 0.0371775i
\(621\) 3.24239 2.54984i 0.130112 0.102322i
\(622\) 1.87942 5.43022i 0.0753577 0.217732i
\(623\) −35.6222 3.40151i −1.42717 0.136278i
\(624\) 1.40411 1.33882i 0.0562094 0.0535955i
\(625\) 9.37381 20.5258i 0.374952 0.821031i
\(626\) 7.25732 10.1915i 0.290061 0.407334i
\(627\) −0.0322724 + 0.224459i −0.00128883 + 0.00896404i
\(628\) 4.53740 2.91601i 0.181062 0.116361i
\(629\) 19.0185 + 14.9563i 0.758319 + 0.596348i
\(630\) 1.07264 + 0.314956i 0.0427351 + 0.0125481i
\(631\) 1.20965 25.3936i 0.0481552 1.01090i −0.837465 0.546491i \(-0.815963\pi\)
0.885620 0.464411i \(-0.153734\pi\)
\(632\) −9.25551 + 16.0310i −0.368164 + 0.637679i
\(633\) 4.94992 + 8.57351i 0.196742 + 0.340766i
\(634\) 13.1112 6.75928i 0.520711 0.268445i
\(635\) −0.448270 0.629508i −0.0177891 0.0249812i
\(636\) 16.2985 3.14128i 0.646277 0.124560i
\(637\) −13.0719 + 2.51940i −0.517927 + 0.0998223i
\(638\) −0.296785 0.416777i −0.0117498 0.0165003i
\(639\) −4.66532 + 2.40514i −0.184557 + 0.0951459i
\(640\) −2.29122 3.96852i −0.0905686 0.156869i
\(641\) 10.5375 18.2515i 0.416205 0.720889i −0.579349 0.815080i \(-0.696693\pi\)
0.995554 + 0.0941908i \(0.0300264\pi\)
\(642\) 0.0930926 1.95425i 0.00367407 0.0771282i
\(643\) 16.5630 + 4.86334i 0.653181 + 0.191791i 0.591500 0.806305i \(-0.298536\pi\)
0.0616806 + 0.998096i \(0.480354\pi\)
\(644\) 22.7771 + 17.9121i 0.897543 + 0.705835i
\(645\) −1.74287 + 1.12008i −0.0686255 + 0.0441029i
\(646\) 0.293838 2.04369i 0.0115609 0.0804079i
\(647\) −16.3366 + 22.9416i −0.642259 + 0.901927i −0.999485 0.0320910i \(-0.989783\pi\)
0.357226 + 0.934018i \(0.383723\pi\)
\(648\) −0.942747 + 2.06433i −0.0370346 + 0.0810944i
\(649\) −2.47704 + 2.36185i −0.0972321 + 0.0927107i
\(650\) −3.30939 0.316008i −0.129805 0.0123949i
\(651\) 5.49473 15.8760i 0.215355 0.622229i
\(652\) 11.9243 9.37737i 0.466991 0.367246i
\(653\) 13.2689 5.31208i 0.519254 0.207878i −0.0972059 0.995264i \(-0.530991\pi\)
0.616460 + 0.787386i \(0.288566\pi\)
\(654\) 8.52203 + 8.12574i 0.333238 + 0.317742i
\(655\) 5.40069 + 6.23272i 0.211022 + 0.243533i
\(656\) 3.03773 + 21.1279i 0.118604 + 0.824906i
\(657\) −4.50945 2.32478i −0.175930 0.0906985i
\(658\) −1.00630 21.1249i −0.0392298 0.823534i
\(659\) −11.6888 + 48.1818i −0.455330 + 1.87690i 0.0247859 + 0.999693i \(0.492110\pi\)
−0.480116 + 0.877205i \(0.659406\pi\)
\(660\) 0.186755 0.0178329i 0.00726942 0.000694145i
\(661\) 23.0477 26.5985i 0.896451 1.03456i −0.102754 0.994707i \(-0.532766\pi\)
0.999206 0.0398531i \(-0.0126890\pi\)
\(662\) 4.43262 + 2.84867i 0.172279 + 0.110717i
\(663\) −1.49060 4.30682i −0.0578903 0.167263i
\(664\) −0.164332 0.677384i −0.00637730 0.0262876i
\(665\) −1.33725 + 0.392651i −0.0518562 + 0.0152264i
\(666\) −3.38817 1.35642i −0.131289 0.0525602i
\(667\) −4.81996 10.5542i −0.186630 0.408662i
\(668\) 12.4224 + 2.39422i 0.480637 + 0.0926351i
\(669\) 22.3972 0.865926
\(670\) 1.32388 + 1.61535i 0.0511458 + 0.0624065i
\(671\) −1.82173 −0.0703272
\(672\) −24.3426 4.69166i −0.939037 0.180985i
\(673\) 3.65866 + 8.01135i 0.141031 + 0.308815i 0.966947 0.254979i \(-0.0820685\pi\)
−0.825916 + 0.563794i \(0.809341\pi\)
\(674\) 2.37628 + 0.951319i 0.0915309 + 0.0366434i
\(675\) −4.63998 + 1.36242i −0.178593 + 0.0524396i
\(676\) 4.46366 + 18.3995i 0.171679 + 0.707672i
\(677\) −7.50666 21.6891i −0.288504 0.833579i −0.992376 0.123251i \(-0.960668\pi\)
0.703871 0.710328i \(-0.251453\pi\)
\(678\) 3.62374 + 2.32884i 0.139169 + 0.0894384i
\(679\) −39.5877 + 45.6866i −1.51923 + 1.75329i
\(680\) −3.82145 + 0.364904i −0.146546 + 0.0139934i
\(681\) −4.42506 + 18.2403i −0.169569 + 0.698971i
\(682\) 0.0331869 + 0.696680i 0.00127079 + 0.0266772i
\(683\) 0.197681 + 0.101912i 0.00756405 + 0.00389954i 0.462004 0.886878i \(-0.347130\pi\)
−0.454440 + 0.890777i \(0.650161\pi\)
\(684\) −0.179160 1.24608i −0.00685035 0.0476452i
\(685\) 1.52803 + 1.76344i 0.0583830 + 0.0673776i
\(686\) 10.3770 + 9.89442i 0.396195 + 0.377771i
\(687\) 0.556877 0.222940i 0.0212462 0.00850570i
\(688\) 7.14457 5.61855i 0.272384 0.214205i
\(689\) 3.69586 10.6785i 0.140801 0.406818i
\(690\) −1.04773 0.100046i −0.0398863 0.00380868i
\(691\) −32.3463 + 30.8421i −1.23051 + 1.17329i −0.251859 + 0.967764i \(0.581042\pi\)
−0.978652 + 0.205526i \(0.934109\pi\)
\(692\) 13.0629 28.6038i 0.496578 1.08735i
\(693\) 0.733996 1.03075i 0.0278822 0.0391551i
\(694\) −0.369797 + 2.57200i −0.0140373 + 0.0976317i
\(695\) 0.904424 0.581238i 0.0343067 0.0220476i
\(696\) 5.01779 + 3.94604i 0.190199 + 0.149574i
\(697\) 48.1109 + 14.1266i 1.82233 + 0.535084i
\(698\) 0.184756 3.87851i 0.00699313 0.146804i
\(699\) 9.00729 15.6011i 0.340687 0.590087i
\(700\) −16.9855 29.4197i −0.641990 1.11196i
\(701\) −4.85987 + 2.50544i −0.183555 + 0.0946290i −0.547555 0.836770i \(-0.684441\pi\)
0.364000 + 0.931399i \(0.381411\pi\)
\(702\) 0.398763 + 0.559984i 0.0150503 + 0.0211352i
\(703\) 4.46768 0.861074i 0.168502 0.0324760i
\(704\) 0.00249414 0.000480706i 9.40014e−5 1.81173e-5i
\(705\) −1.80112 2.52932i −0.0678341 0.0952597i
\(706\) 18.5085 9.54180i 0.696577 0.359110i
\(707\) 3.01064 + 5.21459i 0.113227 + 0.196115i
\(708\) 9.50021 16.4548i 0.357040 0.618411i
\(709\) −0.862785 + 18.1121i −0.0324026 + 0.680214i 0.922981 + 0.384846i \(0.125745\pi\)
−0.955384 + 0.295368i \(0.904558\pi\)
\(710\) 1.28502 + 0.377315i 0.0482258 + 0.0141604i
\(711\) 6.41164 + 5.04217i 0.240455 + 0.189096i
\(712\) −15.5928 + 10.0209i −0.584366 + 0.375549i
\(713\) −2.25094 + 15.6557i −0.0842985 + 0.586309i
\(714\) −6.68300 + 9.38496i −0.250105 + 0.351223i
\(715\) 0.0530561 0.116177i 0.00198418 0.00434476i
\(716\) 17.9362 17.1022i 0.670308 0.639137i
\(717\) −5.64395 0.538932i −0.210777 0.0201268i
\(718\) 4.43780 12.8222i 0.165617 0.478519i
\(719\) −30.3130 + 23.8384i −1.13048 + 0.889022i −0.994812 0.101732i \(-0.967562\pi\)
−0.135672 + 0.990754i \(0.543319\pi\)
\(720\) −0.668504 + 0.267629i −0.0249137 + 0.00997394i
\(721\) −8.78647 8.37788i −0.327225 0.312009i
\(722\) 7.58201 + 8.75011i 0.282173 + 0.325645i
\(723\) 3.81867 + 26.5595i 0.142018 + 0.987757i
\(724\) −0.983785 0.507177i −0.0365621 0.0188491i
\(725\) 0.647238 + 13.5872i 0.0240378 + 0.504616i
\(726\) 1.62092 6.68153i 0.0601581 0.247975i
\(727\) −43.2140 + 4.12644i −1.60272 + 0.153041i −0.857753 0.514062i \(-0.828140\pi\)
−0.744966 + 0.667103i \(0.767534\pi\)
\(728\) −7.10731 + 8.20228i −0.263415 + 0.303997i
\(729\) 0.841254 + 0.540641i 0.0311575 + 0.0200237i
\(730\) 0.423396 + 1.22332i 0.0156706 + 0.0452772i
\(731\) −5.03378 20.7495i −0.186181 0.767449i
\(732\) 9.70368 2.84926i 0.358658 0.105312i
\(733\) 9.32994 + 3.73515i 0.344609 + 0.137961i 0.537510 0.843258i \(-0.319365\pi\)
−0.192900 + 0.981218i \(0.561789\pi\)
\(734\) 5.60167 + 12.2660i 0.206761 + 0.452744i
\(735\) 4.85177 + 0.935102i 0.178960 + 0.0344918i
\(736\) 23.3396 0.860310
\(737\) 2.21798 0.818067i 0.0817003 0.0301339i
\(738\) −7.56348 −0.278415
\(739\) −4.66112 0.898358i −0.171462 0.0330466i 0.102797 0.994702i \(-0.467221\pi\)
−0.274260 + 0.961656i \(0.588433\pi\)
\(740\) −1.56367 3.42397i −0.0574818 0.125868i
\(741\) −0.795648 0.318530i −0.0292289 0.0117015i
\(742\) −27.4092 + 8.04807i −1.00622 + 0.295454i
\(743\) −11.2134 46.2221i −0.411378 1.69572i −0.680609 0.732647i \(-0.738285\pi\)
0.269231 0.963076i \(-0.413231\pi\)
\(744\) −2.84612 8.22331i −0.104344 0.301481i
\(745\) 5.47948 + 3.52145i 0.200753 + 0.129016i
\(746\) −12.1640 + 14.0380i −0.445355 + 0.513967i
\(747\) −0.305752 + 0.0291958i −0.0111869 + 0.00106822i
\(748\) −0.455825 + 1.87894i −0.0166666 + 0.0687008i
\(749\) −0.647611 13.5950i −0.0236632 0.496752i
\(750\) 2.23070 + 1.15000i 0.0814535 + 0.0419922i
\(751\) −0.734363 5.10760i −0.0267973 0.186379i 0.972026 0.234872i \(-0.0754672\pi\)
−0.998824 + 0.0484931i \(0.984558\pi\)
\(752\) 8.92087 + 10.2952i 0.325311 + 0.375428i
\(753\) 7.64826 + 7.29260i 0.278718 + 0.265757i
\(754\) 1.79520 0.718689i 0.0653773 0.0261731i
\(755\) 6.85432 5.39030i 0.249454 0.196173i
\(756\) −2.29758 + 6.63843i −0.0835623 + 0.241437i
\(757\) −15.6994 1.49911i −0.570605 0.0544862i −0.194234 0.980955i \(-0.562222\pi\)
−0.376371 + 0.926469i \(0.622828\pi\)
\(758\) 2.17303 2.07198i 0.0789281 0.0752578i
\(759\) −0.494893 + 1.08367i −0.0179635 + 0.0393346i
\(760\) −0.418742 + 0.588041i −0.0151894 + 0.0213305i
\(761\) −5.20675 + 36.2137i −0.188745 + 1.31275i 0.646519 + 0.762898i \(0.276224\pi\)
−0.835264 + 0.549849i \(0.814685\pi\)
\(762\) −1.01066 + 0.649510i −0.0366123 + 0.0235293i
\(763\) 64.3896 + 50.6365i 2.33106 + 1.83317i
\(764\) −18.8478 5.53420i −0.681888 0.200220i
\(765\) −0.0804875 + 1.68964i −0.00291003 + 0.0610891i
\(766\) −1.17299 + 2.03169i −0.0423820 + 0.0734078i
\(767\) −6.46761 11.2022i −0.233532 0.404489i
\(768\) −6.34743 + 3.27233i −0.229043 + 0.118080i
\(769\) 22.4839 + 31.5742i 0.810790 + 1.13859i 0.988005 + 0.154423i \(0.0493517\pi\)
−0.177215 + 0.984172i \(0.556709\pi\)
\(770\) −0.317037 + 0.0611038i −0.0114252 + 0.00220203i
\(771\) 9.86466 1.90126i 0.355267 0.0684721i
\(772\) −16.6384 23.3653i −0.598828 0.840936i
\(773\) 29.6023 15.2610i 1.06472 0.548902i 0.165416 0.986224i \(-0.447103\pi\)
0.899305 + 0.437322i \(0.144073\pi\)
\(774\) 1.61033 + 2.78918i 0.0578823 + 0.100255i
\(775\) 9.27141 16.0586i 0.333039 0.576841i
\(776\) −1.48991 + 31.2770i −0.0534845 + 1.12278i
\(777\) −24.3605 7.15289i −0.873928 0.256609i
\(778\) 19.2433 + 15.1331i 0.689906 + 0.542548i
\(779\) 7.93241 5.09785i 0.284208 0.182649i
\(780\) −0.100905 + 0.701811i −0.00361298 + 0.0251288i
\(781\) 0.879321 1.23483i 0.0314646 0.0441858i
\(782\) 4.50598 9.86672i 0.161134 0.352833i
\(783\) 2.03576 1.94110i 0.0727522 0.0693691i
\(784\) −21.5792 2.06056i −0.770685 0.0735915i
\(785\) −0.445749 + 1.28791i −0.0159095 + 0.0459674i
\(786\) 10.0777 7.92516i 0.359458 0.282681i
\(787\) −42.9514 + 17.1952i −1.53105 + 0.612941i −0.975785 0.218730i \(-0.929809\pi\)
−0.555268 + 0.831671i \(0.687384\pi\)
\(788\) −29.1809 27.8239i −1.03953 0.991185i
\(789\) −16.8675 19.4661i −0.600498 0.693011i
\(790\) −0.296192 2.06006i −0.0105380 0.0732937i
\(791\) 26.6349 + 13.7312i 0.947027 + 0.488227i
\(792\) −0.0311868 0.654692i −0.00110818 0.0232635i
\(793\) 1.62320 6.69094i 0.0576417 0.237602i
\(794\) 15.4425 1.47458i 0.548032 0.0523307i
\(795\) −2.74656 + 3.16970i −0.0974104 + 0.112418i
\(796\) 14.1168 + 9.07231i 0.500356 + 0.321559i
\(797\) −8.19701 23.6837i −0.290353 0.838920i −0.991982 0.126378i \(-0.959665\pi\)
0.701629 0.712542i \(-0.252456\pi\)
\(798\) 0.510794 + 2.10552i 0.0180819 + 0.0745346i
\(799\) 30.7045 9.01566i 1.08625 0.318951i
\(800\) −25.4024 10.1696i −0.898112 0.359550i
\(801\) 3.39287 + 7.42935i 0.119881 + 0.262503i
\(802\) −6.24623 1.20386i −0.220562 0.0425099i
\(803\) 1.46527 0.0517084
\(804\) −10.5348 + 7.82654i −0.371535 + 0.276021i
\(805\) −7.32181 −0.258060
\(806\) −2.58837 0.498867i −0.0911714 0.0175718i
\(807\) 8.66840 + 18.9812i 0.305142 + 0.668168i
\(808\) 2.89545 + 1.15916i 0.101861 + 0.0407792i
\(809\) 36.7351 10.7864i 1.29154 0.379230i 0.437396 0.899269i \(-0.355901\pi\)
0.854142 + 0.520039i \(0.174083\pi\)
\(810\) −0.0601554 0.247964i −0.00211364 0.00871256i
\(811\) −3.10449 8.96982i −0.109013 0.314973i 0.877279 0.479981i \(-0.159356\pi\)
−0.986292 + 0.165008i \(0.947235\pi\)
\(812\) 16.6230 + 10.6829i 0.583351 + 0.374897i
\(813\) −13.3975 + 15.4616i −0.469873 + 0.542262i
\(814\) 1.04928 0.100194i 0.0367772 0.00351179i
\(815\) −0.903694 + 3.72508i −0.0316550 + 0.130484i
\(816\) −0.353113 7.41276i −0.0123614 0.259499i
\(817\) −3.56882 1.83985i −0.124857 0.0643683i
\(818\) −3.47425 24.1639i −0.121474 0.844871i
\(819\) 3.13179 + 3.61428i 0.109434 + 0.126293i
\(820\) −5.64572 5.38318i −0.197157 0.187989i
\(821\) 34.1426 13.6686i 1.19158 0.477038i 0.310762 0.950488i \(-0.399416\pi\)
0.880821 + 0.473450i \(0.156991\pi\)
\(822\) 2.85130 2.24228i 0.0994504 0.0782087i
\(823\) −12.0134 + 34.7105i −0.418762 + 1.20993i 0.516596 + 0.856230i \(0.327199\pi\)
−0.935358 + 0.353704i \(0.884922\pi\)
\(824\) −6.25995 0.597753i −0.218076 0.0208237i
\(825\) 1.01081 0.963806i 0.0351919 0.0335554i
\(826\) −13.5841 + 29.7451i −0.472653 + 1.03497i
\(827\) −24.9333 + 35.0139i −0.867014 + 1.21755i 0.107720 + 0.994181i \(0.465645\pi\)
−0.974734 + 0.223370i \(0.928294\pi\)
\(828\) 0.941217 6.54631i 0.0327096 0.227500i
\(829\) −21.8559 + 14.0459i −0.759086 + 0.487835i −0.862033 0.506852i \(-0.830809\pi\)
0.102947 + 0.994687i \(0.467173\pi\)
\(830\) 0.0616025 + 0.0484447i 0.00213825 + 0.00168154i
\(831\) 10.4461 + 3.06726i 0.362372 + 0.106402i
\(832\) −0.000456776 0.00958891i −1.58359e−5 0.000332436i
\(833\) −25.4612 + 44.1000i −0.882177 + 1.52798i
\(834\) −0.835647 1.44738i −0.0289361 0.0501188i
\(835\) −2.84131 + 1.46480i −0.0983277 + 0.0506915i
\(836\) 0.210901 + 0.296168i 0.00729415 + 0.0102432i
\(837\) −3.76514 + 0.725672i −0.130142 + 0.0250829i
\(838\) −6.87474 + 1.32500i −0.237484 + 0.0457713i
\(839\) 4.26486 + 5.98915i 0.147239 + 0.206769i 0.881608 0.471982i \(-0.156461\pi\)
−0.734369 + 0.678750i \(0.762522\pi\)
\(840\) 3.58047 1.84586i 0.123538 0.0636882i
\(841\) 10.5439 + 18.2626i 0.363583 + 0.629744i
\(842\) 9.99322 17.3088i 0.344389 0.596499i
\(843\) −1.10868 + 23.2742i −0.0381851 + 0.801605i
\(844\) 15.2299 + 4.47190i 0.524234 + 0.153929i
\(845\) −3.76052 2.95730i −0.129366 0.101734i
\(846\) −4.06076 + 2.60969i −0.139612 + 0.0897230i
\(847\) 6.80681 47.3424i 0.233885 1.62670i
\(848\) 10.6732 14.9885i 0.366521 0.514706i
\(849\) −5.76298 + 12.6192i −0.197785 + 0.433089i
\(850\) −9.20338 + 8.77541i −0.315673 + 0.300994i
\(851\) 23.7947 + 2.27212i 0.815671 + 0.0778871i
\(852\) −2.75249 + 7.95278i −0.0942986 + 0.272458i
\(853\) 1.53677 1.20853i 0.0526178 0.0413791i −0.591504 0.806302i \(-0.701466\pi\)
0.644122 + 0.764923i \(0.277223\pi\)
\(854\) −16.1585 + 6.46890i −0.552933 + 0.221361i
\(855\) 0.230219 + 0.219514i 0.00787334 + 0.00750721i
\(856\) −4.61666 5.32791i −0.157794 0.182104i
\(857\) −3.00562 20.9045i −0.102670 0.714085i −0.974518 0.224309i \(-0.927988\pi\)
0.871848 0.489776i \(-0.162922\pi\)
\(858\) −0.176475 0.0909790i −0.00602474 0.00310597i
\(859\) −0.866280 18.1855i −0.0295571 0.620480i −0.964245 0.265011i \(-0.914624\pi\)
0.934688 0.355469i \(-0.115679\pi\)
\(860\) −0.783129 + 3.22810i −0.0267045 + 0.110077i
\(861\) −52.3781 + 5.00150i −1.78504 + 0.170451i
\(862\) −13.4955 + 15.5746i −0.459657 + 0.530473i
\(863\) 0.712077 + 0.457624i 0.0242394 + 0.0155777i 0.552704 0.833377i \(-0.313596\pi\)
−0.528465 + 0.848955i \(0.677232\pi\)
\(864\) 1.85063 + 5.34704i 0.0629596 + 0.181910i
\(865\) 1.87327 + 7.72170i 0.0636929 + 0.262546i
\(866\) −5.87009 + 1.72361i −0.199474 + 0.0585708i
\(867\) −0.402068 0.160964i −0.0136549 0.00546661i
\(868\) −11.1897 24.5020i −0.379802 0.831650i
\(869\) −2.31320 0.445833i −0.0784701 0.0151239i
\(870\) −0.717719 −0.0243330
\(871\) 1.02837 + 8.87521i 0.0348449 + 0.300725i
\(872\) 42.4297 1.43685
\(873\) 13.5483 + 2.61122i 0.458540 + 0.0883763i
\(874\) −0.847356 1.85545i −0.0286623 0.0627616i
\(875\) 16.2083 + 6.48884i 0.547942 + 0.219363i
\(876\) −7.80496 + 2.29174i −0.263705 + 0.0774309i
\(877\) −3.33227 13.7358i −0.112523 0.463825i −0.999996 0.00296514i \(-0.999056\pi\)
0.887473 0.460860i \(-0.152459\pi\)
\(878\) 1.71380 + 4.95169i 0.0578378 + 0.167111i
\(879\) −18.2892 11.7537i −0.616879 0.396444i
\(880\) 0.136191 0.157173i 0.00459101 0.00529831i
\(881\) 2.15607 0.205880i 0.0726399 0.00693627i −0.0586728 0.998277i \(-0.518687\pi\)
0.131313 + 0.991341i \(0.458081\pi\)
\(882\) 1.81091 7.46467i 0.0609764 0.251348i
\(883\) 0.117565 + 2.46800i 0.00395639 + 0.0830548i 0.999982 0.00601337i \(-0.00191413\pi\)
−0.996026 + 0.0890682i \(0.971611\pi\)
\(884\) −6.49490 3.34835i −0.218447 0.112617i
\(885\) 0.683260 + 4.75218i 0.0229675 + 0.159743i
\(886\) 0.0328067 + 0.0378610i 0.00110216 + 0.00127196i
\(887\) 29.1714 + 27.8149i 0.979479 + 0.933932i 0.997826 0.0659000i \(-0.0209918\pi\)
−0.0183469 + 0.999832i \(0.505840\pi\)
\(888\) −12.2087 + 4.88764i −0.409699 + 0.164019i
\(889\) −6.56944 + 5.16627i −0.220332 + 0.173271i
\(890\) 0.681600 1.96935i 0.0228473 0.0660128i
\(891\) −0.287505 0.0274534i −0.00963178 0.000919724i
\(892\) 25.9896 24.7810i 0.870196 0.829730i
\(893\) 2.49988 5.47397i 0.0836553 0.183180i
\(894\) 5.87342 8.24807i 0.196437 0.275857i
\(895\) −0.891199 + 6.19842i −0.0297895 + 0.207190i
\(896\) −41.6900 + 26.7925i −1.39277 + 0.895076i
\(897\) −3.53917 2.78324i −0.118170 0.0929296i
\(898\) 10.4012 + 3.05405i 0.347091 + 0.101915i
\(899\) −0.513206 + 10.7735i −0.0171164 + 0.359317i
\(900\) −3.87678 + 6.71478i −0.129226 + 0.223826i
\(901\) −21.6122 37.4334i −0.720005 1.24709i
\(902\) 1.94160 1.00096i 0.0646481 0.0333284i
\(903\) 12.9962 + 18.2506i 0.432486 + 0.607342i
\(904\) 15.2411 2.93748i 0.506911 0.0976990i
\(905\) 0.274619 0.0529286i 0.00912866 0.00175941i
\(906\) −7.86305 11.0421i −0.261232 0.366849i
\(907\) −25.4480 + 13.1194i −0.844987 + 0.435621i −0.825644 0.564192i \(-0.809188\pi\)
−0.0193435 + 0.999813i \(0.506158\pi\)
\(908\) 15.0469 + 26.0620i 0.499350 + 0.864899i
\(909\) 0.687152 1.19018i 0.0227914 0.0394758i
\(910\) 0.0580620 1.21887i 0.00192474 0.0404052i
\(911\) 40.2184 + 11.8092i 1.33250 + 0.391256i 0.868986 0.494836i \(-0.164772\pi\)
0.463510 + 0.886092i \(0.346590\pi\)
\(912\) −1.09699 0.862679i −0.0363248 0.0285661i
\(913\) 0.0746249 0.0479585i 0.00246972 0.00158719i
\(914\) 0.155175 1.07927i 0.00513274 0.0356990i
\(915\) −1.48231 + 2.08161i −0.0490035 + 0.0688158i
\(916\) 0.399529 0.874847i 0.0132008 0.0289057i
\(917\) 64.5485 61.5469i 2.13158 2.03246i
\(918\) 2.61772 + 0.249962i 0.0863977 + 0.00824998i
\(919\) 0.574898 1.66106i 0.0189641 0.0547933i −0.935122 0.354327i \(-0.884710\pi\)
0.954086 + 0.299534i \(0.0968312\pi\)
\(920\) −2.98110 + 2.34436i −0.0982840 + 0.0772914i
\(921\) 21.3470 8.54604i 0.703407 0.281602i
\(922\) −6.02963 5.74924i −0.198575 0.189341i
\(923\) 3.75186 + 4.32988i 0.123494 + 0.142520i
\(924\) −0.288735 2.00820i −0.00949870 0.0660649i
\(925\) −24.9077 12.8408i −0.818960 0.422203i
\(926\) −0.0171009 0.358992i −0.000561970 0.0117972i
\(927\) −0.653277 + 2.69284i −0.0214564 + 0.0884446i
\(928\) 15.8438 1.51290i 0.520097 0.0496632i
\(929\) −6.43122 + 7.42202i −0.211001 + 0.243509i −0.851378 0.524552i \(-0.824233\pi\)
0.640377 + 0.768061i \(0.278778\pi\)
\(930\) 0.823066 + 0.528953i 0.0269894 + 0.0173450i
\(931\) 3.13201 + 9.04935i 0.102647 + 0.296580i
\(932\) −6.80956 28.0694i −0.223054 0.919443i
\(933\) −8.75426 + 2.57048i −0.286602 + 0.0841539i
\(934\) −21.9577 8.79054i −0.718478 0.287635i
\(935\) −0.202948 0.444394i −0.00663711 0.0145333i
\(936\) 2.43237 + 0.468801i 0.0795046 + 0.0153232i
\(937\) 53.9049 1.76100 0.880499 0.474048i \(-0.157208\pi\)
0.880499 + 0.474048i \(0.157208\pi\)
\(938\) 16.7683 15.1321i 0.547503 0.494081i
\(939\) −19.8655 −0.648285
\(940\) −4.88854 0.942188i −0.159446 0.0307308i
\(941\) 4.54774 + 9.95817i 0.148252 + 0.324627i 0.969159 0.246435i \(-0.0792590\pi\)
−0.820907 + 0.571061i \(0.806532\pi\)
\(942\) 1.96689 + 0.787425i 0.0640848 + 0.0256557i
\(943\) 47.5301 13.9561i 1.54779 0.454473i
\(944\) −4.96581 20.4693i −0.161623 0.666220i
\(945\) −0.580555 1.67740i −0.0188855 0.0545660i
\(946\) −0.782510 0.502888i −0.0254416 0.0163503i
\(947\) −5.13685 + 5.92824i −0.166925 + 0.192642i −0.833049 0.553199i \(-0.813407\pi\)
0.666124 + 0.745841i \(0.267952\pi\)
\(948\) 13.0189 1.24315i 0.422833 0.0403757i
\(949\) −1.30559 + 5.38173i −0.0423813 + 0.174698i
\(950\) 0.113786 + 2.38865i 0.00369169 + 0.0774981i
\(951\) −20.8178 10.7323i −0.675063 0.348019i
\(952\) 5.90822 + 41.0926i 0.191487 + 1.33182i
\(953\) −8.37668 9.66720i −0.271347 0.313151i 0.603678 0.797228i \(-0.293701\pi\)
−0.875026 + 0.484076i \(0.839156\pi\)
\(954\) 4.71875 + 4.49932i 0.152775 + 0.145671i
\(955\) 4.60798 1.84476i 0.149111 0.0596949i
\(956\) −7.14550 + 5.61928i −0.231102 + 0.181741i
\(957\) −0.265707 + 0.767709i −0.00858908 + 0.0248165i
\(958\) 3.34508 + 0.319416i 0.108075 + 0.0103199i
\(959\) 18.2629 17.4136i 0.589739 0.562315i
\(960\) 0.00148015 0.00324108i 4.77716e−5 0.000104605i
\(961\) −9.45324 + 13.2752i −0.304943 + 0.428233i
\(962\) −0.566934 + 3.94311i −0.0182787 + 0.127131i
\(963\) −2.61332 + 1.67948i −0.0842131 + 0.0541205i
\(964\) 33.8175 + 26.5943i 1.08919 + 0.856546i
\(965\) 6.95431 + 2.04197i 0.223867 + 0.0657334i
\(966\) −0.541587 + 11.3693i −0.0174253 + 0.365802i
\(967\) 11.6040 20.0988i 0.373161 0.646333i −0.616889 0.787050i \(-0.711607\pi\)
0.990050 + 0.140717i \(0.0449407\pi\)
\(968\) −12.3871 21.4551i −0.398137 0.689593i
\(969\) −2.91389 + 1.50221i −0.0936075 + 0.0482580i
\(970\) −2.04212 2.86776i −0.0655685 0.0920781i
\(971\) −30.3985 + 5.85882i −0.975533 + 0.188019i −0.652017 0.758204i \(-0.726077\pi\)
−0.323516 + 0.946223i \(0.604865\pi\)
\(972\) 1.57437 0.303435i 0.0504979 0.00973268i
\(973\) −6.74409 9.47074i −0.216205 0.303618i
\(974\) 21.2765 10.9688i 0.681744 0.351464i
\(975\) 2.63926 + 4.57132i 0.0845238 + 0.146400i
\(976\) 5.60561 9.70920i 0.179431 0.310784i
\(977\) 2.74876 57.7035i 0.0879406 1.84610i −0.337756 0.941234i \(-0.609668\pi\)
0.425697 0.904866i \(-0.360029\pi\)
\(978\) 5.71746 + 1.67880i 0.182824 + 0.0536820i
\(979\) −1.85419 1.45815i −0.0592601 0.0466026i
\(980\) 6.66460 4.28308i 0.212893 0.136818i
\(981\) 2.66077 18.5061i 0.0849518 0.590853i
\(982\) −9.85435 + 13.8385i −0.314465 + 0.441604i
\(983\) −4.56117 + 9.98757i −0.145479 + 0.318554i −0.968318 0.249720i \(-0.919661\pi\)
0.822839 + 0.568274i \(0.192389\pi\)
\(984\) −19.7245 + 18.8073i −0.628794 + 0.599554i
\(985\) 10.1419 + 0.968437i 0.323149 + 0.0308570i
\(986\) 2.41925 6.98996i 0.0770446 0.222606i
\(987\) −26.3956 + 20.7577i −0.840181 + 0.660726i
\(988\) −1.27570 + 0.510712i −0.0405854 + 0.0162479i
\(989\) −15.2662 14.5563i −0.485437 0.462863i
\(990\) 0.0482583 + 0.0556930i 0.00153375 + 0.00177004i
\(991\) −3.98863 27.7416i −0.126703 0.881240i −0.949693 0.313183i \(-0.898605\pi\)
0.822990 0.568056i \(-0.192304\pi\)
\(992\) −19.2843 9.94175i −0.612277 0.315651i
\(993\) −0.398078 8.35669i −0.0126326 0.265192i
\(994\) 3.41462 14.0752i 0.108305 0.446440i
\(995\) −4.22095 + 0.403052i −0.133813 + 0.0127776i
\(996\) −0.322490 + 0.372173i −0.0102185 + 0.0117927i
\(997\) −46.8013 30.0774i −1.48221 0.952560i −0.996938 0.0781988i \(-0.975083\pi\)
−0.485275 0.874362i \(-0.661281\pi\)
\(998\) 3.85022 + 11.1245i 0.121877 + 0.352139i
\(999\) 1.36617 + 5.63145i 0.0432238 + 0.178171i
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 201.2.m.a.16.4 100
3.2 odd 2 603.2.z.b.217.2 100
67.21 even 33 inner 201.2.m.a.88.4 yes 100
201.155 odd 66 603.2.z.b.289.2 100
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
201.2.m.a.16.4 100 1.1 even 1 trivial
201.2.m.a.88.4 yes 100 67.21 even 33 inner
603.2.z.b.217.2 100 3.2 odd 2
603.2.z.b.289.2 100 201.155 odd 66