Properties

Label 260.2.bc.c.19.11
Level $260$
Weight $2$
Character 260.19
Analytic conductor $2.076$
Analytic rank $0$
Dimension $144$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [260,2,Mod(19,260)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(260, base_ring=CyclotomicField(12))
 
chi = DirichletCharacter(H, H._module([6, 6, 5]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("260.19");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 260.bc (of order \(12\), degree \(4\), 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: \(2.07611045255\)
Analytic rank: \(0\)
Dimension: \(144\)
Relative dimension: \(36\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 19.11
Character \(\chi\) \(=\) 260.19
Dual form 260.2.bc.c.219.11

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.796363 - 1.16868i) q^{2} +(-0.640517 + 1.10941i) q^{3} +(-0.731612 + 1.86138i) q^{4} +(-2.15621 + 0.592253i) q^{5} +(1.80662 - 0.134934i) q^{6} +(0.819289 - 3.05763i) q^{7} +(2.75798 - 0.627317i) q^{8} +(0.679475 + 1.17689i) q^{9} +O(q^{10})\) \(q+(-0.796363 - 1.16868i) q^{2} +(-0.640517 + 1.10941i) q^{3} +(-0.731612 + 1.86138i) q^{4} +(-2.15621 + 0.592253i) q^{5} +(1.80662 - 0.134934i) q^{6} +(0.819289 - 3.05763i) q^{7} +(2.75798 - 0.627317i) q^{8} +(0.679475 + 1.17689i) q^{9} +(2.40928 + 2.04826i) q^{10} +(-1.35674 - 5.06344i) q^{11} +(-1.59642 - 2.00390i) q^{12} +(-3.44336 + 1.06923i) q^{13} +(-4.22583 + 1.47750i) q^{14} +(0.724039 - 2.77146i) q^{15} +(-2.92949 - 2.72362i) q^{16} +(-2.66223 - 4.61113i) q^{17} +(0.834290 - 1.73132i) q^{18} +(0.958688 - 3.57787i) q^{19} +(0.475100 - 4.44683i) q^{20} +(2.86739 + 2.86739i) q^{21} +(-4.83706 + 5.61793i) q^{22} +(-2.21578 - 1.27928i) q^{23} +(-1.07058 + 3.46154i) q^{24} +(4.29847 - 2.55404i) q^{25} +(3.99175 + 3.17268i) q^{26} -5.58397 q^{27} +(5.09201 + 3.76201i) q^{28} +(0.573434 - 0.993216i) q^{29} +(-3.81554 + 1.36092i) q^{30} +(1.95451 + 1.95451i) q^{31} +(-0.850097 + 5.59261i) q^{32} +(6.48644 + 1.73804i) q^{33} +(-3.26881 + 6.78342i) q^{34} +(0.0443310 + 7.07811i) q^{35} +(-2.68775 + 0.403739i) q^{36} +(0.831477 + 3.10311i) q^{37} +(-4.94484 + 1.72889i) q^{38} +(1.01932 - 4.50496i) q^{39} +(-5.57526 + 2.98605i) q^{40} +(-2.58986 - 9.66547i) q^{41} +(1.06757 - 5.63454i) q^{42} +(-1.76212 + 1.01736i) q^{43} +(10.4176 + 1.17905i) q^{44} +(-2.16210 - 2.13519i) q^{45} +(0.269499 + 3.60831i) q^{46} +(3.80170 + 3.80170i) q^{47} +(4.89799 - 1.50547i) q^{48} +(-2.61568 - 1.51016i) q^{49} +(-6.40799 - 2.98958i) q^{50} +6.82083 q^{51} +(0.528958 - 7.19168i) q^{52} +1.42398i q^{53} +(4.44686 + 6.52585i) q^{54} +(5.92426 + 10.1143i) q^{55} +(0.341482 - 8.94684i) q^{56} +(3.35527 + 3.35527i) q^{57} +(-1.61741 + 0.120802i) q^{58} +(-13.1237 - 3.51648i) q^{59} +(4.62904 + 3.37535i) q^{60} +(7.45824 + 12.9180i) q^{61} +(0.727693 - 3.84070i) q^{62} +(4.15517 - 1.11337i) q^{63} +(7.21295 - 3.46026i) q^{64} +(6.79135 - 4.34483i) q^{65} +(-3.13436 - 8.96466i) q^{66} +(-2.53496 - 9.46061i) q^{67} +(10.5308 - 1.58188i) q^{68} +(2.83849 - 1.63881i) q^{69} +(8.23672 - 5.68855i) q^{70} +(-1.23075 + 4.59322i) q^{71} +(2.61226 + 2.81958i) q^{72} +(-0.511280 + 0.511280i) q^{73} +(2.96438 - 3.44293i) q^{74} +(0.0802295 + 6.40467i) q^{75} +(5.95840 + 4.40210i) q^{76} -16.5937 q^{77} +(-6.07659 + 2.39633i) q^{78} -6.58756i q^{79} +(7.92966 + 4.13770i) q^{80} +(1.53820 - 2.66424i) q^{81} +(-9.23335 + 10.7239i) q^{82} +(-2.29916 + 2.29916i) q^{83} +(-7.43513 + 3.23949i) q^{84} +(8.47129 + 8.36583i) q^{85} +(2.59225 + 1.24916i) q^{86} +(0.734588 + 1.27234i) q^{87} +(-6.91826 - 13.1138i) q^{88} +(2.83677 - 0.760109i) q^{89} +(-0.773528 + 4.22719i) q^{90} +(0.448203 + 11.4045i) q^{91} +(4.00233 - 3.18848i) q^{92} +(-3.42025 + 0.916454i) q^{93} +(1.41543 - 7.47049i) q^{94} +(0.0518738 + 8.28243i) q^{95} +(-5.65999 - 4.52527i) q^{96} +(-2.74980 + 10.2624i) q^{97} +(0.318137 + 4.25952i) q^{98} +(5.03722 - 5.03722i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144 q - 12 q^{4} - 12 q^{5} - 80 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 144 q - 12 q^{4} - 12 q^{5} - 80 q^{9} - 12 q^{10} - 32 q^{14} - 36 q^{16} + 18 q^{20} + 8 q^{21} - 28 q^{24} + 28 q^{26} - 6 q^{30} + 16 q^{34} + 24 q^{36} - 88 q^{40} - 72 q^{41} + 68 q^{45} + 64 q^{46} - 24 q^{49} - 34 q^{50} + 80 q^{54} + 96 q^{56} - 48 q^{60} - 8 q^{61} + 40 q^{66} - 24 q^{69} - 80 q^{70} - 24 q^{74} - 28 q^{76} - 92 q^{80} - 8 q^{81} + 84 q^{84} + 20 q^{85} - 52 q^{86} - 104 q^{89} - 52 q^{94} - 124 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).

\(n\) \(41\) \(131\) \(157\)
\(\chi(n)\) \(e\left(\frac{5}{12}\right)\) \(-1\) \(-1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.796363 1.16868i −0.563114 0.826379i
\(3\) −0.640517 + 1.10941i −0.369803 + 0.640517i −0.989534 0.144297i \(-0.953908\pi\)
0.619732 + 0.784814i \(0.287241\pi\)
\(4\) −0.731612 + 1.86138i −0.365806 + 0.930691i
\(5\) −2.15621 + 0.592253i −0.964286 + 0.264864i
\(6\) 1.80662 0.134934i 0.737551 0.0550865i
\(7\) 0.819289 3.05763i 0.309662 1.15567i −0.619195 0.785237i \(-0.712541\pi\)
0.928857 0.370438i \(-0.120792\pi\)
\(8\) 2.75798 0.627317i 0.975094 0.221790i
\(9\) 0.679475 + 1.17689i 0.226492 + 0.392295i
\(10\) 2.40928 + 2.04826i 0.761880 + 0.647718i
\(11\) −1.35674 5.06344i −0.409074 1.52668i −0.796417 0.604748i \(-0.793274\pi\)
0.387343 0.921936i \(-0.373393\pi\)
\(12\) −1.59642 2.00390i −0.460848 0.578477i
\(13\) −3.44336 + 1.06923i −0.955017 + 0.296551i
\(14\) −4.22583 + 1.47750i −1.12940 + 0.394878i
\(15\) 0.724039 2.77146i 0.186946 0.715589i
\(16\) −2.92949 2.72362i −0.732372 0.680905i
\(17\) −2.66223 4.61113i −0.645687 1.11836i −0.984142 0.177380i \(-0.943238\pi\)
0.338456 0.940982i \(-0.390095\pi\)
\(18\) 0.834290 1.73132i 0.196644 0.408075i
\(19\) 0.958688 3.57787i 0.219938 0.820821i −0.764431 0.644705i \(-0.776980\pi\)
0.984370 0.176115i \(-0.0563532\pi\)
\(20\) 0.475100 4.44683i 0.106236 0.994341i
\(21\) 2.86739 + 2.86739i 0.625716 + 0.625716i
\(22\) −4.83706 + 5.61793i −1.03127 + 1.19775i
\(23\) −2.21578 1.27928i −0.462023 0.266749i 0.250872 0.968020i \(-0.419283\pi\)
−0.712894 + 0.701271i \(0.752616\pi\)
\(24\) −1.07058 + 3.46154i −0.218532 + 0.706583i
\(25\) 4.29847 2.55404i 0.859695 0.510808i
\(26\) 3.99175 + 3.17268i 0.782847 + 0.622214i
\(27\) −5.58397 −1.07463
\(28\) 5.09201 + 3.76201i 0.962300 + 0.710953i
\(29\) 0.573434 0.993216i 0.106484 0.184436i −0.807860 0.589375i \(-0.799374\pi\)
0.914344 + 0.404939i \(0.132707\pi\)
\(30\) −3.81554 + 1.36092i −0.696620 + 0.248470i
\(31\) 1.95451 + 1.95451i 0.351041 + 0.351041i 0.860497 0.509456i \(-0.170153\pi\)
−0.509456 + 0.860497i \(0.670153\pi\)
\(32\) −0.850097 + 5.59261i −0.150277 + 0.988644i
\(33\) 6.48644 + 1.73804i 1.12914 + 0.302553i
\(34\) −3.26881 + 6.78342i −0.560597 + 1.16335i
\(35\) 0.0443310 + 7.07811i 0.00749331 + 1.19642i
\(36\) −2.68775 + 0.403739i −0.447958 + 0.0672899i
\(37\) 0.831477 + 3.10311i 0.136694 + 0.510149i 0.999985 + 0.00544260i \(0.00173244\pi\)
−0.863291 + 0.504706i \(0.831601\pi\)
\(38\) −4.94484 + 1.72889i −0.802159 + 0.280463i
\(39\) 1.01932 4.50496i 0.163222 0.721370i
\(40\) −5.57526 + 2.98605i −0.881526 + 0.472136i
\(41\) −2.58986 9.66547i −0.404467 1.50949i −0.805036 0.593226i \(-0.797854\pi\)
0.400568 0.916267i \(-0.368813\pi\)
\(42\) 1.06757 5.63454i 0.164730 0.869428i
\(43\) −1.76212 + 1.01736i −0.268721 + 0.155146i −0.628306 0.777966i \(-0.716251\pi\)
0.359585 + 0.933112i \(0.382918\pi\)
\(44\) 10.4176 + 1.17905i 1.57051 + 0.177749i
\(45\) −2.16210 2.13519i −0.322308 0.318295i
\(46\) 0.269499 + 3.60831i 0.0397354 + 0.532016i
\(47\) 3.80170 + 3.80170i 0.554535 + 0.554535i 0.927746 0.373211i \(-0.121743\pi\)
−0.373211 + 0.927746i \(0.621743\pi\)
\(48\) 4.89799 1.50547i 0.706965 0.217296i
\(49\) −2.61568 1.51016i −0.373668 0.215737i
\(50\) −6.40799 2.98958i −0.906227 0.422791i
\(51\) 6.82083 0.955107
\(52\) 0.528958 7.19168i 0.0733532 0.997306i
\(53\) 1.42398i 0.195599i 0.995206 + 0.0977995i \(0.0311804\pi\)
−0.995206 + 0.0977995i \(0.968820\pi\)
\(54\) 4.44686 + 6.52585i 0.605141 + 0.888056i
\(55\) 5.92426 + 10.1143i 0.798827 + 1.36381i
\(56\) 0.341482 8.94684i 0.0456325 1.19557i
\(57\) 3.35527 + 3.35527i 0.444416 + 0.444416i
\(58\) −1.61741 + 0.120802i −0.212376 + 0.0158621i
\(59\) −13.1237 3.51648i −1.70856 0.457806i −0.733486 0.679704i \(-0.762108\pi\)
−0.975070 + 0.221898i \(0.928775\pi\)
\(60\) 4.62904 + 3.37535i 0.597606 + 0.435756i
\(61\) 7.45824 + 12.9180i 0.954929 + 1.65399i 0.734529 + 0.678577i \(0.237403\pi\)
0.220400 + 0.975410i \(0.429264\pi\)
\(62\) 0.727693 3.84070i 0.0924171 0.487769i
\(63\) 4.15517 1.11337i 0.523502 0.140272i
\(64\) 7.21295 3.46026i 0.901618 0.432533i
\(65\) 6.79135 4.34483i 0.842364 0.538910i
\(66\) −3.13436 8.96466i −0.385813 1.10347i
\(67\) −2.53496 9.46061i −0.309695 1.15580i −0.928828 0.370511i \(-0.879183\pi\)
0.619133 0.785286i \(-0.287484\pi\)
\(68\) 10.5308 1.58188i 1.27705 0.191831i
\(69\) 2.83849 1.63881i 0.341715 0.197289i
\(70\) 8.23672 5.68855i 0.984477 0.679912i
\(71\) −1.23075 + 4.59322i −0.146063 + 0.545114i 0.853643 + 0.520859i \(0.174388\pi\)
−0.999706 + 0.0242555i \(0.992278\pi\)
\(72\) 2.61226 + 2.81958i 0.307858 + 0.332291i
\(73\) −0.511280 + 0.511280i −0.0598408 + 0.0598408i −0.736394 0.676553i \(-0.763473\pi\)
0.676553 + 0.736394i \(0.263473\pi\)
\(74\) 2.96438 3.44293i 0.344602 0.400233i
\(75\) 0.0802295 + 6.40467i 0.00926411 + 0.739548i
\(76\) 5.95840 + 4.40210i 0.683476 + 0.504956i
\(77\) −16.5937 −1.89103
\(78\) −6.07659 + 2.39633i −0.688038 + 0.271330i
\(79\) 6.58756i 0.741158i −0.928801 0.370579i \(-0.879159\pi\)
0.928801 0.370579i \(-0.120841\pi\)
\(80\) 7.92966 + 4.13770i 0.886563 + 0.462608i
\(81\) 1.53820 2.66424i 0.170911 0.296027i
\(82\) −9.23335 + 10.7239i −1.01965 + 1.18426i
\(83\) −2.29916 + 2.29916i −0.252366 + 0.252366i −0.821940 0.569574i \(-0.807108\pi\)
0.569574 + 0.821940i \(0.307108\pi\)
\(84\) −7.43513 + 3.23949i −0.811239 + 0.353457i
\(85\) 8.47129 + 8.36583i 0.918840 + 0.907402i
\(86\) 2.59225 + 1.24916i 0.279530 + 0.134700i
\(87\) 0.734588 + 1.27234i 0.0787561 + 0.136410i
\(88\) −6.91826 13.1138i −0.737489 1.39793i
\(89\) 2.83677 0.760109i 0.300697 0.0805714i −0.105316 0.994439i \(-0.533585\pi\)
0.406013 + 0.913867i \(0.366919\pi\)
\(90\) −0.773528 + 4.22719i −0.0815370 + 0.445585i
\(91\) 0.448203 + 11.4045i 0.0469845 + 1.19552i
\(92\) 4.00233 3.18848i 0.417272 0.332422i
\(93\) −3.42025 + 0.916454i −0.354664 + 0.0950318i
\(94\) 1.41543 7.47049i 0.145990 0.770523i
\(95\) 0.0518738 + 8.28243i 0.00532214 + 0.849759i
\(96\) −5.65999 4.52527i −0.577670 0.461859i
\(97\) −2.74980 + 10.2624i −0.279200 + 1.04199i 0.673774 + 0.738938i \(0.264672\pi\)
−0.952974 + 0.303052i \(0.901994\pi\)
\(98\) 0.318137 + 4.25952i 0.0321367 + 0.430277i
\(99\) 5.03722 5.03722i 0.506259 0.506259i
\(100\) 1.60923 + 9.86967i 0.160923 + 0.986967i
\(101\) −13.8119 7.97428i −1.37433 0.793470i −0.382861 0.923806i \(-0.625061\pi\)
−0.991470 + 0.130335i \(0.958395\pi\)
\(102\) −5.43185 7.97135i −0.537834 0.789281i
\(103\) 5.50269i 0.542197i −0.962552 0.271098i \(-0.912613\pi\)
0.962552 0.271098i \(-0.0873868\pi\)
\(104\) −8.82599 + 5.10900i −0.865459 + 0.500979i
\(105\) −7.88091 4.48447i −0.769098 0.437640i
\(106\) 1.66418 1.13401i 0.161639 0.110144i
\(107\) 2.49261 4.31733i 0.240970 0.417372i −0.720021 0.693952i \(-0.755868\pi\)
0.960991 + 0.276581i \(0.0892012\pi\)
\(108\) 4.08530 10.3939i 0.393108 1.00015i
\(109\) 5.16895 5.16895i 0.495095 0.495095i −0.414812 0.909907i \(-0.636153\pi\)
0.909907 + 0.414812i \(0.136153\pi\)
\(110\) 7.10248 14.9782i 0.677195 1.42812i
\(111\) −3.97519 1.06515i −0.377309 0.101100i
\(112\) −10.7279 + 6.72585i −1.01369 + 0.635533i
\(113\) 7.81943 4.51455i 0.735590 0.424693i −0.0848738 0.996392i \(-0.527049\pi\)
0.820464 + 0.571699i \(0.193715\pi\)
\(114\) 1.24921 6.59323i 0.117000 0.617513i
\(115\) 5.53535 + 1.44610i 0.516174 + 0.134849i
\(116\) 1.42922 + 1.79403i 0.132700 + 0.166571i
\(117\) −3.59804 3.32593i −0.332639 0.307482i
\(118\) 6.34158 + 18.1377i 0.583790 + 1.66971i
\(119\) −16.2802 + 4.36228i −1.49241 + 0.399889i
\(120\) 0.258299 8.09785i 0.0235793 0.739230i
\(121\) −14.2714 + 8.23958i −1.29740 + 0.749053i
\(122\) 9.15756 19.0037i 0.829087 1.72052i
\(123\) 12.3818 + 3.31769i 1.11643 + 0.299146i
\(124\) −5.06804 + 2.20815i −0.455123 + 0.198298i
\(125\) −7.75577 + 8.05283i −0.693697 + 0.720267i
\(126\) −4.61019 3.96940i −0.410709 0.353622i
\(127\) −1.08654 0.627311i −0.0964144 0.0556649i 0.451018 0.892515i \(-0.351061\pi\)
−0.547432 + 0.836850i \(0.684395\pi\)
\(128\) −9.78805 5.67398i −0.865150 0.501514i
\(129\) 2.60655i 0.229494i
\(130\) −10.4861 4.47684i −0.919690 0.392645i
\(131\) 11.7537i 1.02693i 0.858112 + 0.513463i \(0.171638\pi\)
−0.858112 + 0.513463i \(0.828362\pi\)
\(132\) −7.98071 + 10.8022i −0.694632 + 0.940209i
\(133\) −10.1544 5.86263i −0.880495 0.508354i
\(134\) −9.03764 + 10.4966i −0.780733 + 0.906770i
\(135\) 12.0402 3.30712i 1.03626 0.284632i
\(136\) −10.2350 11.0473i −0.877647 0.947302i
\(137\) −0.221576 0.0593711i −0.0189305 0.00507242i 0.249341 0.968416i \(-0.419786\pi\)
−0.268272 + 0.963343i \(0.586453\pi\)
\(138\) −4.17571 2.01220i −0.355460 0.171290i
\(139\) −5.56173 + 3.21107i −0.471740 + 0.272359i −0.716968 0.697106i \(-0.754471\pi\)
0.245228 + 0.969465i \(0.421137\pi\)
\(140\) −13.2075 5.09592i −1.11624 0.430683i
\(141\) −6.65269 + 1.78258i −0.560258 + 0.150121i
\(142\) 6.34811 2.21952i 0.532721 0.186258i
\(143\) 10.0858 + 15.9846i 0.843413 + 1.33670i
\(144\) 1.21488 5.29830i 0.101240 0.441525i
\(145\) −0.648208 + 2.48120i −0.0538307 + 0.206052i
\(146\) 1.00469 + 0.190357i 0.0831484 + 0.0157540i
\(147\) 3.35077 1.93457i 0.276367 0.159561i
\(148\) −6.38440 0.722580i −0.524794 0.0593957i
\(149\) 11.5555 + 3.09628i 0.946662 + 0.253657i 0.698945 0.715175i \(-0.253653\pi\)
0.247717 + 0.968833i \(0.420320\pi\)
\(150\) 7.42110 5.19420i 0.605930 0.424105i
\(151\) −7.23397 + 7.23397i −0.588693 + 0.588693i −0.937277 0.348585i \(-0.886662\pi\)
0.348585 + 0.937277i \(0.386662\pi\)
\(152\) 0.399585 10.4691i 0.0324106 0.849158i
\(153\) 3.61785 6.26629i 0.292485 0.506600i
\(154\) 13.2146 + 19.3927i 1.06486 + 1.56270i
\(155\) −5.37190 3.05677i −0.431482 0.245526i
\(156\) 7.63970 + 5.19322i 0.611665 + 0.415791i
\(157\) 0.295125i 0.0235536i 0.999931 + 0.0117768i \(0.00374875\pi\)
−0.999931 + 0.0117768i \(0.996251\pi\)
\(158\) −7.69873 + 5.24609i −0.612478 + 0.417356i
\(159\) −1.57978 0.912085i −0.125285 0.0723331i
\(160\) −1.47926 12.5623i −0.116945 0.993138i
\(161\) −5.72694 + 5.72694i −0.451346 + 0.451346i
\(162\) −4.33860 + 0.324043i −0.340873 + 0.0254593i
\(163\) 0.984034 3.67246i 0.0770755 0.287650i −0.916620 0.399759i \(-0.869094\pi\)
0.993696 + 0.112109i \(0.0357606\pi\)
\(164\) 19.8859 + 2.25067i 1.55283 + 0.175748i
\(165\) −15.0155 + 0.0940436i −1.16895 + 0.00732129i
\(166\) 4.51795 + 0.856012i 0.350661 + 0.0664394i
\(167\) 10.8241 2.90032i 0.837596 0.224433i 0.185571 0.982631i \(-0.440586\pi\)
0.652025 + 0.758198i \(0.273920\pi\)
\(168\) 9.70698 + 6.10945i 0.748910 + 0.471354i
\(169\) 10.7135 7.36350i 0.824114 0.566423i
\(170\) 3.03074 16.5624i 0.232447 1.27028i
\(171\) 4.86215 1.30281i 0.371818 0.0996284i
\(172\) −0.604508 4.02429i −0.0460933 0.306849i
\(173\) 8.92116 + 15.4519i 0.678263 + 1.17479i 0.975504 + 0.219983i \(0.0706003\pi\)
−0.297241 + 0.954803i \(0.596066\pi\)
\(174\) 0.901961 1.87174i 0.0683775 0.141897i
\(175\) −4.28762 15.2356i −0.324114 1.15171i
\(176\) −9.81632 + 18.5285i −0.739933 + 1.39664i
\(177\) 12.3071 12.3071i 0.925062 0.925062i
\(178\) −3.14742 2.70994i −0.235909 0.203119i
\(179\) 11.9404 20.6813i 0.892464 1.54579i 0.0555514 0.998456i \(-0.482308\pi\)
0.836912 0.547337i \(-0.184358\pi\)
\(180\) 5.55623 2.46237i 0.414137 0.183534i
\(181\) 15.8003i 1.17442i −0.809433 0.587212i \(-0.800225\pi\)
0.809433 0.587212i \(-0.199775\pi\)
\(182\) 12.9713 9.60595i 0.961495 0.712040i
\(183\) −19.1085 −1.41254
\(184\) −6.91361 2.13824i −0.509678 0.157633i
\(185\) −3.63066 6.19852i −0.266932 0.455724i
\(186\) 3.79480 + 3.26734i 0.278248 + 0.239573i
\(187\) −19.7362 + 19.7362i −1.44325 + 1.44325i
\(188\) −9.85779 + 4.29505i −0.718953 + 0.313249i
\(189\) −4.57488 + 17.0737i −0.332774 + 1.24193i
\(190\) 9.63817 6.65644i 0.699227 0.482909i
\(191\) −1.11793 + 0.645434i −0.0808902 + 0.0467020i −0.539900 0.841729i \(-0.681538\pi\)
0.459009 + 0.888431i \(0.348204\pi\)
\(192\) −0.781173 + 10.2185i −0.0563763 + 0.737454i
\(193\) −3.52046 13.1385i −0.253408 0.945731i −0.968969 0.247181i \(-0.920496\pi\)
0.715561 0.698550i \(-0.246171\pi\)
\(194\) 14.1833 4.95897i 1.01830 0.356033i
\(195\) 0.470210 + 10.3173i 0.0336724 + 0.738839i
\(196\) 4.72465 3.76392i 0.337475 0.268852i
\(197\) 20.0039 5.36003i 1.42522 0.381886i 0.537887 0.843017i \(-0.319223\pi\)
0.887332 + 0.461131i \(0.152556\pi\)
\(198\) −9.89833 1.87543i −0.703444 0.133281i
\(199\) −6.83558 11.8396i −0.484562 0.839285i 0.515281 0.857021i \(-0.327687\pi\)
−0.999843 + 0.0177360i \(0.994354\pi\)
\(200\) 10.2529 9.74051i 0.724991 0.688758i
\(201\) 12.1194 + 3.24737i 0.854834 + 0.229052i
\(202\) 1.67989 + 22.4920i 0.118197 + 1.58253i
\(203\) −2.56708 2.56708i −0.180174 0.180174i
\(204\) −4.99020 + 12.6962i −0.349384 + 0.888910i
\(205\) 11.3087 + 19.3069i 0.789832 + 1.34845i
\(206\) −6.43087 + 4.38214i −0.448060 + 0.305318i
\(207\) 3.47696i 0.241666i
\(208\) 12.9995 + 6.24611i 0.901351 + 0.433090i
\(209\) −19.4170 −1.34310
\(210\) 1.03517 + 12.7815i 0.0714333 + 0.882008i
\(211\) 14.5986 + 8.42853i 1.00501 + 0.580244i 0.909727 0.415206i \(-0.136290\pi\)
0.0952848 + 0.995450i \(0.469624\pi\)
\(212\) −2.65058 1.04180i −0.182042 0.0715513i
\(213\) −4.30744 4.30744i −0.295141 0.295141i
\(214\) −7.03058 + 0.525103i −0.480601 + 0.0358953i
\(215\) 3.19696 3.23726i 0.218031 0.220779i
\(216\) −15.4005 + 3.50292i −1.04787 + 0.238343i
\(217\) 7.57748 4.37486i 0.514393 0.296985i
\(218\) −10.1572 1.92447i −0.687931 0.130342i
\(219\) −0.239735 0.894702i −0.0161998 0.0604584i
\(220\) −23.1608 + 3.62757i −1.56150 + 0.244571i
\(221\) 14.0974 + 13.0312i 0.948294 + 0.876575i
\(222\) 1.92088 + 5.49396i 0.128921 + 0.368731i
\(223\) −5.18448 19.3487i −0.347178 1.29569i −0.890046 0.455870i \(-0.849328\pi\)
0.542868 0.839818i \(-0.317338\pi\)
\(224\) 16.4037 + 7.18125i 1.09602 + 0.479817i
\(225\) 5.92652 + 3.32340i 0.395101 + 0.221560i
\(226\) −11.5032 5.54317i −0.765178 0.368726i
\(227\) 23.7809 + 6.37207i 1.57839 + 0.422929i 0.938428 0.345474i \(-0.112282\pi\)
0.639966 + 0.768403i \(0.278949\pi\)
\(228\) −8.70019 + 3.79068i −0.576184 + 0.251044i
\(229\) −6.27597 6.27597i −0.414728 0.414728i 0.468654 0.883382i \(-0.344739\pi\)
−0.883382 + 0.468654i \(0.844739\pi\)
\(230\) −2.71813 7.62065i −0.179228 0.502491i
\(231\) 10.6285 18.4092i 0.699306 1.21123i
\(232\) 0.958459 3.09900i 0.0629259 0.203459i
\(233\) 16.5736 1.08577 0.542886 0.839806i \(-0.317332\pi\)
0.542886 + 0.839806i \(0.317332\pi\)
\(234\) −1.02159 + 6.85360i −0.0667833 + 0.448034i
\(235\) −10.4488 5.94569i −0.681606 0.387854i
\(236\) 16.1469 21.8555i 1.05108 1.42267i
\(237\) 7.30829 + 4.21945i 0.474725 + 0.274082i
\(238\) 18.0631 + 15.5524i 1.17086 + 1.00811i
\(239\) 5.15038 + 5.15038i 0.333150 + 0.333150i 0.853782 0.520631i \(-0.174303\pi\)
−0.520631 + 0.853782i \(0.674303\pi\)
\(240\) −9.66948 + 6.14696i −0.624162 + 0.396785i
\(241\) 4.59936 17.1650i 0.296271 1.10570i −0.643932 0.765083i \(-0.722698\pi\)
0.940203 0.340615i \(-0.110635\pi\)
\(242\) 20.9946 + 10.1169i 1.34958 + 0.650341i
\(243\) −6.40546 11.0946i −0.410911 0.711718i
\(244\) −29.5020 + 4.43163i −1.88867 + 0.283706i
\(245\) 6.53435 + 1.70708i 0.417464 + 0.109062i
\(246\) −5.98310 17.1124i −0.381468 1.09105i
\(247\) 0.524463 + 13.3450i 0.0333708 + 0.849120i
\(248\) 6.61661 + 4.16441i 0.420155 + 0.264441i
\(249\) −1.07806 4.02337i −0.0683192 0.254971i
\(250\) 15.5876 + 2.65101i 0.985844 + 0.167665i
\(251\) −6.87561 11.9089i −0.433984 0.751683i 0.563228 0.826302i \(-0.309559\pi\)
−0.997212 + 0.0746187i \(0.976226\pi\)
\(252\) −0.967557 + 8.54891i −0.0609504 + 0.538531i
\(253\) −3.47132 + 12.9551i −0.218240 + 0.814483i
\(254\) 0.132152 + 1.76938i 0.00829195 + 0.111021i
\(255\) −14.7071 + 4.03966i −0.920996 + 0.252973i
\(256\) 1.16379 + 15.9576i 0.0727369 + 0.997351i
\(257\) −5.70735 + 9.88541i −0.356014 + 0.616635i −0.987291 0.158923i \(-0.949198\pi\)
0.631277 + 0.775558i \(0.282531\pi\)
\(258\) −3.04621 + 2.07576i −0.189649 + 0.129231i
\(259\) 10.1694 0.631895
\(260\) 3.11875 + 15.8200i 0.193417 + 0.981117i
\(261\) 1.55854 0.0964710
\(262\) 13.7363 9.36022i 0.848631 0.578276i
\(263\) −11.2907 + 19.5560i −0.696212 + 1.20588i 0.273558 + 0.961856i \(0.411799\pi\)
−0.969770 + 0.244020i \(0.921534\pi\)
\(264\) 18.9798 + 0.724419i 1.16813 + 0.0445849i
\(265\) −0.843358 3.07040i −0.0518070 0.188613i
\(266\) 1.23504 + 16.5360i 0.0757254 + 1.01388i
\(267\) −0.973726 + 3.63400i −0.0595911 + 0.222397i
\(268\) 19.4644 + 2.20296i 1.18898 + 0.134567i
\(269\) −0.264467 0.458070i −0.0161248 0.0279290i 0.857850 0.513899i \(-0.171800\pi\)
−0.873975 + 0.485970i \(0.838466\pi\)
\(270\) −13.4533 11.4374i −0.818743 0.696060i
\(271\) −1.18825 4.43460i −0.0721809 0.269383i 0.920398 0.390982i \(-0.127864\pi\)
−0.992579 + 0.121599i \(0.961198\pi\)
\(272\) −4.75997 + 20.7591i −0.288616 + 1.25871i
\(273\) −12.9394 6.80756i −0.783126 0.412012i
\(274\) 0.107069 + 0.306232i 0.00646829 + 0.0185001i
\(275\) −18.7642 18.2999i −1.13152 1.10352i
\(276\) 0.973766 + 6.48249i 0.0586138 + 0.390200i
\(277\) −4.51565 7.82133i −0.271319 0.469938i 0.697881 0.716214i \(-0.254126\pi\)
−0.969200 + 0.246276i \(0.920793\pi\)
\(278\) 8.18186 + 3.94270i 0.490715 + 0.236467i
\(279\) −0.972195 + 3.62828i −0.0582038 + 0.217220i
\(280\) 4.56249 + 19.4935i 0.272661 + 1.16496i
\(281\) 4.26190 + 4.26190i 0.254244 + 0.254244i 0.822708 0.568464i \(-0.192462\pi\)
−0.568464 + 0.822708i \(0.692462\pi\)
\(282\) 7.38122 + 6.35527i 0.439545 + 0.378451i
\(283\) 20.5107 + 11.8419i 1.21923 + 0.703925i 0.964754 0.263153i \(-0.0847623\pi\)
0.254480 + 0.967078i \(0.418096\pi\)
\(284\) −7.64930 5.65135i −0.453902 0.335346i
\(285\) −9.22182 5.24749i −0.546254 0.310834i
\(286\) 10.6489 24.5165i 0.629682 1.44969i
\(287\) −31.6753 −1.86973
\(288\) −7.15949 + 2.79958i −0.421877 + 0.164967i
\(289\) −5.67498 + 9.82936i −0.333823 + 0.578198i
\(290\) 3.41593 1.21839i 0.200590 0.0715463i
\(291\) −9.62391 9.62391i −0.564163 0.564163i
\(292\) −0.577629 1.32575i −0.0338032 0.0775834i
\(293\) −15.6265 4.18711i −0.912911 0.244614i −0.228358 0.973577i \(-0.573336\pi\)
−0.684553 + 0.728963i \(0.740002\pi\)
\(294\) −4.92932 2.37535i −0.287484 0.138533i
\(295\) 30.3800 0.190274i 1.76879 0.0110782i
\(296\) 4.23984 + 8.03673i 0.246435 + 0.467126i
\(297\) 7.57601 + 28.2741i 0.439605 + 1.64063i
\(298\) −5.58380 15.9704i −0.323461 0.925140i
\(299\) 8.99759 + 2.03585i 0.520344 + 0.117736i
\(300\) −11.9802 4.53640i −0.691679 0.261909i
\(301\) 1.66702 + 6.22142i 0.0960857 + 0.358597i
\(302\) 14.2150 + 2.69331i 0.817984 + 0.154983i
\(303\) 17.6935 10.2153i 1.01646 0.586855i
\(304\) −12.5532 + 7.87023i −0.719977 + 0.451389i
\(305\) −23.7323 23.4368i −1.35891 1.34199i
\(306\) −10.2044 + 0.762150i −0.583346 + 0.0435692i
\(307\) −6.13780 6.13780i −0.350303 0.350303i 0.509920 0.860222i \(-0.329675\pi\)
−0.860222 + 0.509920i \(0.829675\pi\)
\(308\) 12.1401 30.8872i 0.691749 1.75996i
\(309\) 6.10473 + 3.52457i 0.347286 + 0.200506i
\(310\) 0.705606 + 8.71232i 0.0400757 + 0.494827i
\(311\) −16.0499 −0.910109 −0.455054 0.890464i \(-0.650380\pi\)
−0.455054 + 0.890464i \(0.650380\pi\)
\(312\) −0.0147731 13.0640i −0.000836360 0.739605i
\(313\) 3.80254i 0.214932i 0.994209 + 0.107466i \(0.0342737\pi\)
−0.994209 + 0.107466i \(0.965726\pi\)
\(314\) 0.344906 0.235027i 0.0194642 0.0132633i
\(315\) −8.30001 + 4.86157i −0.467652 + 0.273919i
\(316\) 12.2620 + 4.81954i 0.689790 + 0.271120i
\(317\) −16.2722 16.2722i −0.913937 0.913937i 0.0826420 0.996579i \(-0.473664\pi\)
−0.996579 + 0.0826420i \(0.973664\pi\)
\(318\) 0.192143 + 2.57260i 0.0107749 + 0.144264i
\(319\) −5.80709 1.55601i −0.325135 0.0871196i
\(320\) −13.5033 + 11.7329i −0.754856 + 0.655891i
\(321\) 3.19312 + 5.53064i 0.178222 + 0.308690i
\(322\) 11.2537 + 2.13222i 0.627142 + 0.118824i
\(323\) −19.0503 + 5.10451i −1.05999 + 0.284022i
\(324\) 3.83381 + 4.81237i 0.212989 + 0.267354i
\(325\) −12.0703 + 13.3906i −0.669542 + 0.742774i
\(326\) −5.07557 + 1.77460i −0.281110 + 0.0982858i
\(327\) 2.42367 + 9.04527i 0.134029 + 0.500205i
\(328\) −13.2061 25.0325i −0.729185 1.38219i
\(329\) 14.7389 8.50950i 0.812581 0.469144i
\(330\) 12.0677 + 17.4733i 0.664304 + 0.961876i
\(331\) 5.42580 20.2493i 0.298229 1.11300i −0.640390 0.768050i \(-0.721227\pi\)
0.938619 0.344955i \(-0.112106\pi\)
\(332\) −2.59753 5.96172i −0.142558 0.327192i
\(333\) −3.08704 + 3.08704i −0.169169 + 0.169169i
\(334\) −12.0095 10.3402i −0.657129 0.565791i
\(335\) 11.0690 + 18.8977i 0.604763 + 1.03249i
\(336\) −0.590302 16.2097i −0.0322036 0.884309i
\(337\) 14.9384 0.813745 0.406873 0.913485i \(-0.366619\pi\)
0.406873 + 0.913485i \(0.366619\pi\)
\(338\) −17.1374 6.65659i −0.932151 0.362071i
\(339\) 11.5666i 0.628211i
\(340\) −21.7697 + 9.64775i −1.18063 + 0.523223i
\(341\) 7.24478 12.5483i 0.392327 0.679530i
\(342\) −5.39460 4.64478i −0.291707 0.251161i
\(343\) 8.90786 8.90786i 0.480979 0.480979i
\(344\) −4.22169 + 3.91127i −0.227618 + 0.210882i
\(345\) −5.14980 + 5.21471i −0.277256 + 0.280751i
\(346\) 10.9538 22.7313i 0.588880 1.22204i
\(347\) −3.71138 6.42830i −0.199237 0.345089i 0.749044 0.662520i \(-0.230513\pi\)
−0.948281 + 0.317431i \(0.897180\pi\)
\(348\) −2.90575 + 0.436487i −0.155765 + 0.0233982i
\(349\) 9.75792 2.61463i 0.522329 0.139958i 0.0119854 0.999928i \(-0.496185\pi\)
0.510344 + 0.859970i \(0.329518\pi\)
\(350\) −14.3910 + 17.1439i −0.769233 + 0.916382i
\(351\) 19.2276 5.97055i 1.02629 0.318684i
\(352\) 29.4712 3.28333i 1.57082 0.175002i
\(353\) 14.7932 3.96383i 0.787364 0.210974i 0.157335 0.987545i \(-0.449710\pi\)
0.630029 + 0.776572i \(0.283043\pi\)
\(354\) −24.1840 4.58212i −1.28537 0.243537i
\(355\) −0.0665947 10.6328i −0.00353448 0.564333i
\(356\) −0.660559 + 5.83641i −0.0350096 + 0.309329i
\(357\) 5.58823 20.8556i 0.295760 1.10379i
\(358\) −33.6786 + 2.51540i −1.77997 + 0.132943i
\(359\) −10.9817 + 10.9817i −0.579590 + 0.579590i −0.934790 0.355200i \(-0.884413\pi\)
0.355200 + 0.934790i \(0.384413\pi\)
\(360\) −7.30249 4.53249i −0.384875 0.238883i
\(361\) 4.57239 + 2.63987i 0.240652 + 0.138940i
\(362\) −18.4654 + 12.5827i −0.970520 + 0.661334i
\(363\) 21.1104i 1.10801i
\(364\) −21.5561 7.50942i −1.12985 0.393600i
\(365\) 0.799620 1.40523i 0.0418540 0.0735533i
\(366\) 15.2173 + 22.3317i 0.795422 + 1.16730i
\(367\) 2.03837 3.53057i 0.106402 0.184294i −0.807908 0.589309i \(-0.799400\pi\)
0.914310 + 0.405014i \(0.132734\pi\)
\(368\) 3.00683 + 9.78259i 0.156742 + 0.509953i
\(369\) 9.61541 9.61541i 0.500558 0.500558i
\(370\) −4.35274 + 9.17934i −0.226288 + 0.477211i
\(371\) 4.35401 + 1.16665i 0.226049 + 0.0605696i
\(372\) 0.796427 7.03688i 0.0412928 0.364845i
\(373\) 14.8807 8.59138i 0.770494 0.444845i −0.0625571 0.998041i \(-0.519926\pi\)
0.833051 + 0.553197i \(0.186592\pi\)
\(374\) 38.7824 + 7.34806i 2.00539 + 0.379959i
\(375\) −3.96618 13.7623i −0.204812 0.710682i
\(376\) 12.8699 + 8.10016i 0.663714 + 0.417734i
\(377\) −0.912562 + 4.03314i −0.0469993 + 0.207717i
\(378\) 23.5969 8.25030i 1.21369 0.424349i
\(379\) 2.96512 0.794503i 0.152308 0.0408109i −0.181859 0.983325i \(-0.558212\pi\)
0.334168 + 0.942514i \(0.391545\pi\)
\(380\) −15.4547 5.96297i −0.792810 0.305894i
\(381\) 1.39189 0.803607i 0.0713086 0.0411701i
\(382\) 1.64458 + 0.792493i 0.0841440 + 0.0405475i
\(383\) −6.59714 1.76770i −0.337098 0.0903252i 0.0862991 0.996269i \(-0.472496\pi\)
−0.423397 + 0.905944i \(0.639163\pi\)
\(384\) 12.5642 7.22466i 0.641163 0.368682i
\(385\) 35.7794 9.82766i 1.82349 0.500864i
\(386\) −12.5511 + 14.5773i −0.638835 + 0.741965i
\(387\) −2.39463 1.38254i −0.121726 0.0702786i
\(388\) −17.0905 12.6265i −0.867637 0.641015i
\(389\) 18.5642i 0.941243i 0.882335 + 0.470621i \(0.155970\pi\)
−0.882335 + 0.470621i \(0.844030\pi\)
\(390\) 11.6832 8.76585i 0.591600 0.443876i
\(391\) 13.6230i 0.688945i
\(392\) −8.16135 2.52414i −0.412210 0.127488i
\(393\) −13.0397 7.52845i −0.657764 0.379760i
\(394\) −22.1945 19.1096i −1.11814 0.962727i
\(395\) 3.90150 + 14.2042i 0.196306 + 0.714689i
\(396\) 5.69089 + 13.0615i 0.285978 + 0.656364i
\(397\) 8.47931 + 2.27202i 0.425564 + 0.114030i 0.465243 0.885183i \(-0.345967\pi\)
−0.0396789 + 0.999212i \(0.512633\pi\)
\(398\) −8.39304 + 17.4172i −0.420705 + 0.873045i
\(399\) 13.0081 7.51023i 0.651219 0.375982i
\(400\) −19.5486 4.22537i −0.977428 0.211269i
\(401\) −13.5256 + 3.62418i −0.675437 + 0.180983i −0.580203 0.814472i \(-0.697027\pi\)
−0.0952343 + 0.995455i \(0.530360\pi\)
\(402\) −5.85628 16.7497i −0.292085 0.835400i
\(403\) −8.81992 4.64027i −0.439352 0.231148i
\(404\) 24.9481 19.8751i 1.24121 0.988821i
\(405\) −1.73878 + 6.65566i −0.0864005 + 0.330723i
\(406\) −0.955760 + 5.04441i −0.0474336 + 0.250350i
\(407\) 14.5843 8.42026i 0.722918 0.417377i
\(408\) 18.8117 4.27882i 0.931319 0.211833i
\(409\) −10.0414 2.69057i −0.496513 0.133040i 0.00186827 0.999998i \(-0.499405\pi\)
−0.498381 + 0.866958i \(0.666072\pi\)
\(410\) 13.5578 28.5915i 0.669570 1.41203i
\(411\) 0.207790 0.207790i 0.0102495 0.0102495i
\(412\) 10.2426 + 4.02584i 0.504617 + 0.198339i
\(413\) −21.5042 + 37.2463i −1.05815 + 1.83277i
\(414\) −4.06345 + 2.76893i −0.199708 + 0.136085i
\(415\) 3.59579 6.31917i 0.176510 0.310196i
\(416\) −3.05261 20.1663i −0.149666 0.988737i
\(417\) 8.22698i 0.402877i
\(418\) 15.4630 + 22.6922i 0.756321 + 1.10991i
\(419\) −7.78576 4.49511i −0.380359 0.219600i 0.297615 0.954686i \(-0.403809\pi\)
−0.677975 + 0.735085i \(0.737142\pi\)
\(420\) 14.1131 11.3885i 0.688648 0.555702i
\(421\) −8.88636 + 8.88636i −0.433095 + 0.433095i −0.889680 0.456585i \(-0.849072\pi\)
0.456585 + 0.889680i \(0.349072\pi\)
\(422\) −1.77559 23.7733i −0.0864343 1.15726i
\(423\) −1.89101 + 7.05733i −0.0919438 + 0.343139i
\(424\) 0.893289 + 3.92732i 0.0433819 + 0.190727i
\(425\) −23.2205 13.0213i −1.12636 0.631628i
\(426\) −1.60372 + 8.46428i −0.0777005 + 0.410096i
\(427\) 45.6090 12.2209i 2.20718 0.591411i
\(428\) 6.21257 + 7.79831i 0.300296 + 0.376945i
\(429\) −24.1935 + 0.950816i −1.16807 + 0.0459058i
\(430\) −6.32926 1.15818i −0.305224 0.0558525i
\(431\) 4.45690 1.19422i 0.214681 0.0575236i −0.149875 0.988705i \(-0.547887\pi\)
0.364557 + 0.931181i \(0.381221\pi\)
\(432\) 16.3582 + 15.2086i 0.787032 + 0.731724i
\(433\) 0.167761 + 0.290571i 0.00806209 + 0.0139639i 0.870028 0.493002i \(-0.164100\pi\)
−0.861966 + 0.506966i \(0.830767\pi\)
\(434\) −11.1472 5.37165i −0.535084 0.257848i
\(435\) −2.33748 2.30838i −0.112073 0.110678i
\(436\) 5.83972 + 13.4030i 0.279672 + 0.641890i
\(437\) −6.70136 + 6.70136i −0.320569 + 0.320569i
\(438\) −0.854702 + 0.992680i −0.0408392 + 0.0474321i
\(439\) −8.35847 + 14.4773i −0.398928 + 0.690964i −0.993594 0.113009i \(-0.963951\pi\)
0.594666 + 0.803973i \(0.297284\pi\)
\(440\) 22.6839 + 24.1787i 1.08141 + 1.15267i
\(441\) 4.10447i 0.195451i
\(442\) 4.00266 26.8529i 0.190387 1.27726i
\(443\) 9.18330 0.436312 0.218156 0.975914i \(-0.429996\pi\)
0.218156 + 0.975914i \(0.429996\pi\)
\(444\) 4.89095 6.62008i 0.232114 0.314175i
\(445\) −5.66648 + 3.31904i −0.268617 + 0.157337i
\(446\) −18.4837 + 21.4676i −0.875229 + 1.01652i
\(447\) −10.8365 + 10.8365i −0.512550 + 0.512550i
\(448\) −4.67071 24.8895i −0.220670 1.17592i
\(449\) 0.0848801 0.316777i 0.00400574 0.0149496i −0.963894 0.266286i \(-0.914203\pi\)
0.967900 + 0.251336i \(0.0808701\pi\)
\(450\) −0.835677 9.57283i −0.0393942 0.451267i
\(451\) −45.4268 + 26.2271i −2.13906 + 1.23499i
\(452\) 2.68251 + 17.8578i 0.126175 + 0.839962i
\(453\) −3.39195 12.6589i −0.159368 0.594768i
\(454\) −11.4913 32.8667i −0.539315 1.54251i
\(455\) −7.72079 24.3251i −0.361956 1.14038i
\(456\) 11.3586 + 7.14895i 0.531915 + 0.334780i
\(457\) −35.0417 + 9.38941i −1.63918 + 0.439218i −0.956556 0.291548i \(-0.905830\pi\)
−0.682628 + 0.730766i \(0.739163\pi\)
\(458\) −2.33663 + 12.3325i −0.109184 + 0.576261i
\(459\) 14.8658 + 25.7484i 0.693877 + 1.20183i
\(460\) −6.74147 + 9.24542i −0.314323 + 0.431070i
\(461\) 8.10674 + 2.17219i 0.377568 + 0.101169i 0.442612 0.896713i \(-0.354052\pi\)
−0.0650435 + 0.997882i \(0.520719\pi\)
\(462\) −29.9785 + 2.23905i −1.39473 + 0.104170i
\(463\) −1.21737 1.21737i −0.0565762 0.0565762i 0.678253 0.734829i \(-0.262738\pi\)
−0.734829 + 0.678253i \(0.762738\pi\)
\(464\) −4.38501 + 1.34780i −0.203569 + 0.0625700i
\(465\) 6.83200 4.00172i 0.316827 0.185575i
\(466\) −13.1986 19.3692i −0.611413 0.897260i
\(467\) 27.0920i 1.25367i 0.779153 + 0.626834i \(0.215649\pi\)
−0.779153 + 0.626834i \(0.784351\pi\)
\(468\) 8.82320 4.26404i 0.407852 0.197105i
\(469\) −31.0039 −1.43163
\(470\) 1.37247 + 16.9462i 0.0633071 + 0.781672i
\(471\) −0.327414 0.189033i −0.0150865 0.00871017i
\(472\) −38.4008 1.46568i −1.76754 0.0674634i
\(473\) 7.54209 + 7.54209i 0.346785 + 0.346785i
\(474\) −0.888885 11.9012i −0.0408278 0.546642i
\(475\) −5.01714 17.8279i −0.230202 0.818001i
\(476\) 3.79096 33.4953i 0.173758 1.53525i
\(477\) −1.67586 + 0.967561i −0.0767326 + 0.0443016i
\(478\) 1.91756 10.1207i 0.0877071 0.462910i
\(479\) 5.80742 + 21.6736i 0.265348 + 0.990291i 0.962037 + 0.272919i \(0.0879889\pi\)
−0.696689 + 0.717373i \(0.745344\pi\)
\(480\) 14.8842 + 6.40528i 0.679369 + 0.292360i
\(481\) −6.18102 9.79610i −0.281830 0.446664i
\(482\) −23.7232 + 8.29444i −1.08056 + 0.377801i
\(483\) −2.68531 10.0217i −0.122186 0.456004i
\(484\) −4.89590 32.5927i −0.222541 1.48149i
\(485\) −0.148790 23.7565i −0.00675618 1.07873i
\(486\) −7.86491 + 16.3212i −0.356760 + 0.740346i
\(487\) −2.90085 0.777279i −0.131450 0.0352219i 0.192494 0.981298i \(-0.438342\pi\)
−0.323944 + 0.946076i \(0.605009\pi\)
\(488\) 28.6734 + 30.9491i 1.29798 + 1.40100i
\(489\) 3.44397 + 3.44397i 0.155742 + 0.155742i
\(490\) −3.20868 8.99600i −0.144954 0.406398i
\(491\) −3.60396 + 6.24225i −0.162645 + 0.281709i −0.935816 0.352488i \(-0.885336\pi\)
0.773172 + 0.634197i \(0.218669\pi\)
\(492\) −15.2342 + 20.6200i −0.686810 + 0.929621i
\(493\) −6.10646 −0.275021
\(494\) 15.1783 11.2404i 0.682904 0.505728i
\(495\) −7.87798 + 13.8446i −0.354089 + 0.622268i
\(496\) −0.402370 11.0491i −0.0180670 0.496118i
\(497\) 13.0360 + 7.52634i 0.584745 + 0.337603i
\(498\) −3.84349 + 4.46396i −0.172231 + 0.200035i
\(499\) 30.2228 + 30.2228i 1.35296 + 1.35296i 0.882331 + 0.470629i \(0.155973\pi\)
0.470629 + 0.882331i \(0.344027\pi\)
\(500\) −9.31518 20.3280i −0.416588 0.909096i
\(501\) −3.71541 + 13.8661i −0.165992 + 0.619491i
\(502\) −8.44218 + 17.5192i −0.376793 + 0.781919i
\(503\) 13.7312 + 23.7832i 0.612244 + 1.06044i 0.990861 + 0.134885i \(0.0430664\pi\)
−0.378617 + 0.925553i \(0.623600\pi\)
\(504\) 10.7614 5.67727i 0.479353 0.252886i
\(505\) 34.5040 + 9.01410i 1.53541 + 0.401122i
\(506\) 17.9048 6.26014i 0.795966 0.278297i
\(507\) 1.30696 + 16.6021i 0.0580440 + 0.737324i
\(508\) 1.96259 1.56351i 0.0870758 0.0693695i
\(509\) 1.06833 + 3.98708i 0.0473531 + 0.176724i 0.985552 0.169372i \(-0.0541739\pi\)
−0.938199 + 0.346096i \(0.887507\pi\)
\(510\) 16.4333 + 13.9709i 0.727677 + 0.618640i
\(511\) 1.14442 + 1.98219i 0.0506261 + 0.0876870i
\(512\) 17.7225 14.0682i 0.783231 0.621730i
\(513\) −5.35328 + 19.9787i −0.236353 + 0.882082i
\(514\) 16.0980 1.20233i 0.710051 0.0530326i
\(515\) 3.25899 + 11.8650i 0.143608 + 0.522832i
\(516\) 4.85178 + 1.90698i 0.213588 + 0.0839502i
\(517\) 14.0917 24.4076i 0.619754 1.07345i
\(518\) −8.09852 11.8847i −0.355829 0.522185i
\(519\) −22.8566 −1.00329
\(520\) 16.0049 16.2433i 0.701859 0.712316i
\(521\) 31.6966 1.38865 0.694326 0.719660i \(-0.255702\pi\)
0.694326 + 0.719660i \(0.255702\pi\)
\(522\) −1.24116 1.82143i −0.0543241 0.0797216i
\(523\) −14.2647 + 24.7072i −0.623751 + 1.08037i 0.365030 + 0.930996i \(0.381059\pi\)
−0.988781 + 0.149373i \(0.952275\pi\)
\(524\) −21.8781 8.59916i −0.955751 0.375656i
\(525\) 19.6488 + 5.00196i 0.857545 + 0.218304i
\(526\) 31.8461 2.37854i 1.38856 0.103709i
\(527\) 3.80913 14.2159i 0.165928 0.619253i
\(528\) −14.2682 22.7582i −0.620943 0.990421i
\(529\) −8.22687 14.2494i −0.357690 0.619537i
\(530\) −2.91669 + 3.43077i −0.126693 + 0.149023i
\(531\) −4.77872 17.8344i −0.207379 0.773948i
\(532\) 18.3416 14.6120i 0.795211 0.633510i
\(533\) 19.2524 + 30.5126i 0.833916 + 1.32165i
\(534\) 5.02241 1.75601i 0.217341 0.0759899i
\(535\) −2.81764 + 10.7853i −0.121817 + 0.466290i
\(536\) −12.9262 24.5020i −0.558326 1.05832i
\(537\) 15.2960 + 26.4935i 0.660071 + 1.14328i
\(538\) −0.324724 + 0.673866i −0.0139998 + 0.0290524i
\(539\) −4.09781 + 15.2932i −0.176505 + 0.658726i
\(540\) −2.65294 + 24.8309i −0.114164 + 1.06855i
\(541\) −26.4185 26.4185i −1.13582 1.13582i −0.989192 0.146628i \(-0.953158\pi\)
−0.146628 0.989192i \(-0.546842\pi\)
\(542\) −4.23634 + 4.92023i −0.181966 + 0.211342i
\(543\) 17.5289 + 10.1203i 0.752239 + 0.434306i
\(544\) 28.0514 10.9689i 1.20269 0.470290i
\(545\) −8.08400 + 14.2066i −0.346281 + 0.608546i
\(546\) 2.34859 + 20.5432i 0.100510 + 0.879169i
\(547\) 5.03031 0.215081 0.107540 0.994201i \(-0.465703\pi\)
0.107540 + 0.994201i \(0.465703\pi\)
\(548\) 0.272620 0.369001i 0.0116458 0.0157629i
\(549\) −10.1354 + 17.5550i −0.432567 + 0.749229i
\(550\) −6.44356 + 36.5026i −0.274754 + 1.55648i
\(551\) −3.00386 3.00386i −0.127969 0.127969i
\(552\) 6.80047 6.30044i 0.289447 0.268164i
\(553\) −20.1423 5.39712i −0.856538 0.229509i
\(554\) −5.54451 + 11.5059i −0.235564 + 0.488841i
\(555\) 9.20219 0.0576344i 0.390611 0.00244644i
\(556\) −1.90799 12.7018i −0.0809169 0.538675i
\(557\) −5.09289 19.0069i −0.215793 0.805350i −0.985886 0.167418i \(-0.946457\pi\)
0.770093 0.637931i \(-0.220210\pi\)
\(558\) 5.01451 1.75325i 0.212281 0.0742208i
\(559\) 4.97982 5.38725i 0.210624 0.227857i
\(560\) 19.1482 20.8560i 0.809160 0.881326i
\(561\) −9.25412 34.5368i −0.390709 1.45815i
\(562\) 1.58676 8.37480i 0.0669336 0.353270i
\(563\) −22.1022 + 12.7607i −0.931497 + 0.537800i −0.887285 0.461222i \(-0.847411\pi\)
−0.0442124 + 0.999022i \(0.514078\pi\)
\(564\) 1.54912 13.6874i 0.0652298 0.576342i
\(565\) −14.1866 + 14.3654i −0.596833 + 0.604356i
\(566\) −2.49465 33.4008i −0.104858 1.40394i
\(567\) −6.88603 6.88603i −0.289186 0.289186i
\(568\) −0.512980 + 13.4401i −0.0215242 + 0.563933i
\(569\) −15.4291 8.90800i −0.646822 0.373443i 0.140416 0.990093i \(-0.455156\pi\)
−0.787238 + 0.616650i \(0.788489\pi\)
\(570\) 1.21130 + 14.9562i 0.0507356 + 0.626448i
\(571\) 25.2470 1.05655 0.528277 0.849072i \(-0.322838\pi\)
0.528277 + 0.849072i \(0.322838\pi\)
\(572\) −37.1323 + 7.07892i −1.55258 + 0.295985i
\(573\) 1.65365i 0.0690821i
\(574\) 25.2250 + 37.0181i 1.05287 + 1.54511i
\(575\) −12.7918 + 0.160240i −0.533456 + 0.00668245i
\(576\) 8.97335 + 6.13765i 0.373890 + 0.255735i
\(577\) −23.7085 23.7085i −0.986997 0.986997i 0.0129200 0.999917i \(-0.495887\pi\)
−0.999917 + 0.0129200i \(0.995887\pi\)
\(578\) 16.0067 1.19551i 0.665791 0.0497268i
\(579\) 16.8309 + 4.50982i 0.699468 + 0.187422i
\(580\) −4.14422 3.02184i −0.172080 0.125475i
\(581\) 5.14631 + 8.91367i 0.213505 + 0.369801i
\(582\) −3.58312 + 18.9114i −0.148525 + 0.783901i
\(583\) 7.21025 1.93198i 0.298618 0.0800144i
\(584\) −1.08937 + 1.73084i −0.0450783 + 0.0716225i
\(585\) 9.72792 + 5.04044i 0.402200 + 0.208397i
\(586\) 7.55100 + 21.5968i 0.311929 + 0.892156i
\(587\) −2.36777 8.83664i −0.0977284 0.364727i 0.899691 0.436528i \(-0.143792\pi\)
−0.997419 + 0.0718009i \(0.977125\pi\)
\(588\) 1.14951 + 7.65243i 0.0474049 + 0.315581i
\(589\) 8.86677 5.11923i 0.365349 0.210934i
\(590\) −24.4159 35.3529i −1.00519 1.45546i
\(591\) −6.86638 + 25.6257i −0.282445 + 1.05410i
\(592\) 6.01590 11.3552i 0.247252 0.466694i
\(593\) 9.56293 9.56293i 0.392702 0.392702i −0.482947 0.875650i \(-0.660434\pi\)
0.875650 + 0.482947i \(0.160434\pi\)
\(594\) 27.0100 31.3703i 1.10823 1.28714i
\(595\) 32.5200 19.0480i 1.33319 0.780892i
\(596\) −14.2175 + 19.2439i −0.582371 + 0.788260i
\(597\) 17.5132 0.716769
\(598\) −4.78610 12.1366i −0.195718 0.496301i
\(599\) 18.3869i 0.751267i 0.926768 + 0.375634i \(0.122575\pi\)
−0.926768 + 0.375634i \(0.877425\pi\)
\(600\) 4.23903 + 17.6136i 0.173058 + 0.719074i
\(601\) −12.6772 + 21.9576i −0.517116 + 0.895671i 0.482687 + 0.875793i \(0.339661\pi\)
−0.999802 + 0.0198777i \(0.993672\pi\)
\(602\) 5.94327 6.90272i 0.242230 0.281334i
\(603\) 9.41161 9.41161i 0.383270 0.383270i
\(604\) −8.17273 18.7577i −0.332544 0.763238i
\(605\) 25.8922 26.2185i 1.05267 1.06593i
\(606\) −26.0288 12.5428i −1.05735 0.509518i
\(607\) −14.7301 25.5133i −0.597877 1.03555i −0.993134 0.116983i \(-0.962678\pi\)
0.395257 0.918571i \(-0.370655\pi\)
\(608\) 19.1947 + 8.40311i 0.778447 + 0.340791i
\(609\) 4.49220 1.20368i 0.182033 0.0487756i
\(610\) −8.49060 + 46.3996i −0.343774 + 1.87866i
\(611\) −17.1555 9.02574i −0.694038 0.365142i
\(612\) 9.01710 + 11.3187i 0.364495 + 0.457531i
\(613\) 35.3770 9.47923i 1.42886 0.382862i 0.540243 0.841509i \(-0.318332\pi\)
0.888619 + 0.458647i \(0.151666\pi\)
\(614\) −2.28519 + 12.0610i −0.0922227 + 0.486743i
\(615\) −28.6627 + 0.179518i −1.15579 + 0.00723885i
\(616\) −45.7651 + 10.4095i −1.84393 + 0.419411i
\(617\) −7.80027 + 29.1110i −0.314027 + 1.17197i 0.610865 + 0.791735i \(0.290822\pi\)
−0.924892 + 0.380230i \(0.875845\pi\)
\(618\) −0.742500 9.94130i −0.0298677 0.399898i
\(619\) 0.0903946 0.0903946i 0.00363326 0.00363326i −0.705288 0.708921i \(-0.749182\pi\)
0.708921 + 0.705288i \(0.249182\pi\)
\(620\) 9.61997 7.76279i 0.386347 0.311761i
\(621\) 12.3729 + 7.14347i 0.496506 + 0.286658i
\(622\) 12.7816 + 18.7572i 0.512495 + 0.752095i
\(623\) 9.29653i 0.372458i
\(624\) −15.2559 + 10.4210i −0.610724 + 0.417173i
\(625\) 11.9537 21.9570i 0.478150 0.878278i
\(626\) 4.44394 3.02820i 0.177616 0.121031i
\(627\) 12.4369 21.5414i 0.496684 0.860282i
\(628\) −0.549341 0.215917i −0.0219211 0.00861604i
\(629\) 12.0953 12.0953i 0.482269 0.482269i
\(630\) 12.2914 + 5.82845i 0.489702 + 0.232211i
\(631\) 1.53848 + 0.412235i 0.0612460 + 0.0164108i 0.289312 0.957235i \(-0.406574\pi\)
−0.228066 + 0.973646i \(0.573240\pi\)
\(632\) −4.13249 18.1684i −0.164382 0.722699i
\(633\) −18.7014 + 10.7972i −0.743313 + 0.429152i
\(634\) −6.05837 + 31.9755i −0.240609 + 1.26991i
\(635\) 2.71432 + 0.709111i 0.107715 + 0.0281402i
\(636\) 2.85352 2.27328i 0.113150 0.0901413i
\(637\) 10.6214 + 2.40327i 0.420837 + 0.0952211i
\(638\) 2.80609 + 8.02576i 0.111094 + 0.317743i
\(639\) −6.24195 + 1.67253i −0.246928 + 0.0661641i
\(640\) 24.4655 + 6.43729i 0.967084 + 0.254456i
\(641\) 1.13746 0.656711i 0.0449268 0.0259385i −0.477368 0.878703i \(-0.658409\pi\)
0.522295 + 0.852765i \(0.325076\pi\)
\(642\) 3.92065 8.13612i 0.154736 0.321107i
\(643\) 13.0865 + 3.50653i 0.516083 + 0.138284i 0.507454 0.861679i \(-0.330587\pi\)
0.00862865 + 0.999963i \(0.497253\pi\)
\(644\) −6.47012 14.8499i −0.254959 0.585169i
\(645\) 1.54373 + 5.62026i 0.0607845 + 0.221297i
\(646\) 21.1365 + 18.1986i 0.831603 + 0.716014i
\(647\) −37.7825 21.8138i −1.48538 0.857587i −0.485523 0.874224i \(-0.661371\pi\)
−0.999862 + 0.0166367i \(0.994704\pi\)
\(648\) 2.57101 8.31287i 0.100999 0.326561i
\(649\) 71.2219i 2.79570i
\(650\) 25.2616 + 3.44259i 0.990842 + 0.135029i
\(651\) 11.2087i 0.439304i
\(652\) 6.11593 + 4.51848i 0.239518 + 0.176957i
\(653\) 0.984294 + 0.568283i 0.0385184 + 0.0222386i 0.519136 0.854692i \(-0.326254\pi\)
−0.480617 + 0.876931i \(0.659587\pi\)
\(654\) 8.64088 10.0358i 0.337885 0.392431i
\(655\) −6.96117 25.3435i −0.271995 0.990251i
\(656\) −18.7381 + 35.3687i −0.731601 + 1.38091i
\(657\) −0.949121 0.254316i −0.0370287 0.00992181i
\(658\) −21.6823 10.4483i −0.845266 0.407319i
\(659\) 39.4071 22.7517i 1.53508 0.886280i 0.535966 0.844240i \(-0.319947\pi\)
0.999116 0.0420405i \(-0.0133859\pi\)
\(660\) 10.8105 28.0183i 0.420796 1.09061i
\(661\) 1.47406 0.394973i 0.0573343 0.0153627i −0.230038 0.973182i \(-0.573885\pi\)
0.287372 + 0.957819i \(0.407218\pi\)
\(662\) −27.9859 + 9.78483i −1.08770 + 0.380298i
\(663\) −23.4866 + 7.29304i −0.912143 + 0.283238i
\(664\) −4.89875 + 7.78336i −0.190108 + 0.302053i
\(665\) 25.3671 + 6.62709i 0.983693 + 0.256988i
\(666\) 6.06616 + 1.14935i 0.235059 + 0.0445364i
\(667\) −2.54121 + 1.46717i −0.0983960 + 0.0568090i
\(668\) −2.52047 + 22.2697i −0.0975198 + 0.861642i
\(669\) 24.7864 + 6.64150i 0.958298 + 0.256775i
\(670\) 13.2704 27.9855i 0.512680 1.08117i
\(671\) 55.2908 55.2908i 2.13448 2.13448i
\(672\) −18.4738 + 13.5986i −0.712641 + 0.524579i
\(673\) 19.5297 33.8264i 0.752813 1.30391i −0.193641 0.981072i \(-0.562030\pi\)
0.946454 0.322838i \(-0.104637\pi\)
\(674\) −11.8964 17.4581i −0.458231 0.672462i
\(675\) −24.0025 + 14.2617i −0.923858 + 0.548932i
\(676\) 5.86817 + 25.3291i 0.225699 + 0.974197i
\(677\) 38.8754i 1.49410i −0.664765 0.747052i \(-0.731468\pi\)
0.664765 0.747052i \(-0.268532\pi\)
\(678\) 13.5176 9.21120i 0.519140 0.353754i
\(679\) 29.1257 + 16.8158i 1.11774 + 0.645330i
\(680\) 28.6117 + 17.7586i 1.09721 + 0.681013i
\(681\) −22.3013 + 22.3013i −0.854588 + 0.854588i
\(682\) −20.4344 + 1.52621i −0.782474 + 0.0584418i
\(683\) 2.14741 8.01425i 0.0821684 0.306657i −0.912595 0.408866i \(-0.865924\pi\)
0.994763 + 0.102209i \(0.0325911\pi\)
\(684\) −1.13218 + 10.0035i −0.0432901 + 0.382493i
\(685\) 0.512927 0.00321252i 0.0195979 0.000122744i
\(686\) −17.5043 3.31652i −0.668318 0.126625i
\(687\) 10.9825 2.94275i 0.419008 0.112273i
\(688\) 7.93301 + 1.81900i 0.302443 + 0.0693487i
\(689\) −1.52257 4.90329i −0.0580052 0.186800i
\(690\) 10.1954 + 1.86565i 0.388133 + 0.0710240i
\(691\) −37.0478 + 9.92693i −1.40937 + 0.377638i −0.881699 0.471813i \(-0.843600\pi\)
−0.527667 + 0.849451i \(0.676933\pi\)
\(692\) −35.2887 + 5.30089i −1.34148 + 0.201509i
\(693\) −11.2750 19.5289i −0.428302 0.741840i
\(694\) −4.55700 + 9.45667i −0.172981 + 0.358970i
\(695\) 10.0905 10.2177i 0.382754 0.387579i
\(696\) 2.82415 + 3.04829i 0.107049 + 0.115545i
\(697\) −37.6739 + 37.6739i −1.42700 + 1.42700i
\(698\) −10.8265 9.32166i −0.409789 0.352830i
\(699\) −10.6157 + 18.3869i −0.401522 + 0.695456i
\(700\) 31.4962 + 3.16568i 1.19044 + 0.119651i
\(701\) 16.2086i 0.612192i −0.952001 0.306096i \(-0.900977\pi\)
0.952001 0.306096i \(-0.0990228\pi\)
\(702\) −22.2898 17.7162i −0.841275 0.668653i
\(703\) 11.8997 0.448805
\(704\) −27.3069 31.8276i −1.02917 1.19955i
\(705\) 13.2889 7.78370i 0.500487 0.293151i
\(706\) −16.4132 14.1319i −0.617720 0.531860i
\(707\) −35.6983 + 35.6983i −1.34257 + 1.34257i
\(708\) 13.9042 + 31.9124i 0.522553 + 1.19934i
\(709\) 10.3299 38.5519i 0.387949 1.44785i −0.445516 0.895274i \(-0.646980\pi\)
0.833465 0.552572i \(-0.186354\pi\)
\(710\) −12.3733 + 8.54543i −0.464363 + 0.320704i
\(711\) 7.75281 4.47608i 0.290753 0.167866i
\(712\) 7.34693 3.87592i 0.275338 0.145256i
\(713\) −1.83040 6.83115i −0.0685491 0.255829i
\(714\) −28.8237 + 10.0778i −1.07870 + 0.377151i
\(715\) −31.2139 28.4928i −1.16733 1.06557i
\(716\) 29.7601 + 37.3562i 1.11219 + 1.39607i
\(717\) −9.01278 + 2.41497i −0.336588 + 0.0901886i
\(718\) 21.5794 + 4.08863i 0.805337 + 0.152586i
\(719\) 13.6289 + 23.6060i 0.508273 + 0.880354i 0.999954 + 0.00957904i \(0.00304915\pi\)
−0.491681 + 0.870775i \(0.663618\pi\)
\(720\) 0.518411 + 12.1438i 0.0193201 + 0.452571i
\(721\) −16.8252 4.50830i −0.626603 0.167898i
\(722\) −0.556125 7.44594i −0.0206968 0.277109i
\(723\) 16.0971 + 16.0971i 0.598657 + 0.598657i
\(724\) 29.4103 + 11.5597i 1.09303 + 0.429612i
\(725\) −0.0718268 5.73389i −0.00266758 0.212951i
\(726\) −24.6712 + 16.8115i −0.915635 + 0.623934i
\(727\) 19.5213i 0.724005i 0.932177 + 0.362003i \(0.117907\pi\)
−0.932177 + 0.362003i \(0.882093\pi\)
\(728\) 8.39040 + 31.1723i 0.310969 + 1.15532i
\(729\) 25.6404 0.949646
\(730\) −2.27905 + 0.184579i −0.0843515 + 0.00683158i
\(731\) 9.38235 + 5.41690i 0.347019 + 0.200351i
\(732\) 13.9800 35.5683i 0.516717 1.31464i
\(733\) 23.2695 + 23.2695i 0.859480 + 0.859480i 0.991277 0.131797i \(-0.0420748\pi\)
−0.131797 + 0.991277i \(0.542075\pi\)
\(734\) −5.74938 + 0.429412i −0.212214 + 0.0158499i
\(735\) −6.07921 + 6.15584i −0.224235 + 0.227062i
\(736\) 9.03817 11.3045i 0.333151 0.416690i
\(737\) −44.4639 + 25.6712i −1.63785 + 0.945613i
\(738\) −18.8947 3.57995i −0.695522 0.131780i
\(739\) −6.85801 25.5944i −0.252276 0.941506i −0.969586 0.244752i \(-0.921293\pi\)
0.717310 0.696754i \(-0.245373\pi\)
\(740\) 14.1940 2.22315i 0.521783 0.0817245i
\(741\) −15.1410 7.96584i −0.556217 0.292633i
\(742\) −2.10393 6.01751i −0.0772377 0.220910i
\(743\) −13.0686 48.7726i −0.479439 1.78929i −0.603891 0.797067i \(-0.706384\pi\)
0.124452 0.992226i \(-0.460283\pi\)
\(744\) −8.85809 + 4.67315i −0.324753 + 0.171326i
\(745\) −26.7498 + 0.167537i −0.980037 + 0.00613809i
\(746\) −21.8910 10.5489i −0.801486 0.386222i
\(747\) −4.26808 1.14363i −0.156161 0.0418432i
\(748\) −22.2973 51.1758i −0.815272 1.87117i
\(749\) −11.1586 11.1586i −0.407727 0.407727i
\(750\) −12.9252 + 15.5950i −0.471960 + 0.569447i
\(751\) −9.75454 + 16.8954i −0.355948 + 0.616520i −0.987280 0.158993i \(-0.949175\pi\)
0.631332 + 0.775513i \(0.282509\pi\)
\(752\) −0.782646 21.4914i −0.0285402 0.783711i
\(753\) 17.6158 0.641955
\(754\) 5.44017 2.14535i 0.198119 0.0781291i
\(755\) 11.3136 19.8823i 0.411745 0.723591i
\(756\) −28.4336 21.0069i −1.03412 0.764015i
\(757\) −8.79561 5.07815i −0.319682 0.184568i 0.331569 0.943431i \(-0.392422\pi\)
−0.651251 + 0.758863i \(0.725755\pi\)
\(758\) −3.28983 2.83256i −0.119492 0.102883i
\(759\) −12.1491 12.1491i −0.440984 0.440984i
\(760\) 5.33878 + 22.8103i 0.193658 + 0.827415i
\(761\) 0.231800 0.865091i 0.00840275 0.0313595i −0.961597 0.274465i \(-0.911499\pi\)
0.970000 + 0.243105i \(0.0781660\pi\)
\(762\) −2.04761 0.986705i −0.0741769 0.0357446i
\(763\) −11.5699 20.0396i −0.418857 0.725481i
\(764\) −0.383512 2.55309i −0.0138750 0.0923677i
\(765\) −4.08960 + 15.6541i −0.147860 + 0.565976i
\(766\) 3.18785 + 9.11766i 0.115182 + 0.329435i
\(767\) 48.9495 1.92374i 1.76746 0.0694621i
\(768\) −18.4489 8.93001i −0.665719 0.322234i
\(769\) 2.88376 + 10.7623i 0.103991 + 0.388099i 0.998229 0.0594928i \(-0.0189483\pi\)
−0.894238 + 0.447592i \(0.852282\pi\)
\(770\) −39.9788 33.9882i −1.44073 1.22485i
\(771\) −7.31131 12.6636i −0.263310 0.456067i
\(772\) 27.0314 + 3.05939i 0.972882 + 0.110110i
\(773\) 10.3210 38.5185i 0.371221 1.38541i −0.487568 0.873085i \(-0.662116\pi\)
0.858789 0.512330i \(-0.171217\pi\)
\(774\) 0.291252 + 3.89956i 0.0104688 + 0.140167i
\(775\) 13.3933 + 3.40951i 0.481103 + 0.122473i
\(776\) −1.14613 + 30.0286i −0.0411436 + 1.07796i
\(777\) −6.51367 + 11.2820i −0.233676 + 0.404740i
\(778\) 21.6956 14.7838i 0.777824 0.530027i
\(779\) −37.0647 −1.32798
\(780\) −19.5485 6.67304i −0.699948 0.238933i
\(781\) 24.9273 0.891968
\(782\) 15.9209 10.8489i 0.569330 0.387954i
\(783\) −3.20203 + 5.54609i −0.114431 + 0.198201i
\(784\) 3.54949 + 11.5481i 0.126767 + 0.412433i
\(785\) −0.174789 0.636352i −0.00623848 0.0227124i
\(786\) 1.58597 + 21.2345i 0.0565698 + 0.757411i
\(787\) 11.7433 43.8265i 0.418603 1.56225i −0.358905 0.933374i \(-0.616850\pi\)
0.777508 0.628873i \(-0.216483\pi\)
\(788\) −4.65804 + 41.1564i −0.165936 + 1.46614i
\(789\) −14.4637 25.0519i −0.514923 0.891872i
\(790\) 13.4931 15.8713i 0.480061 0.564674i
\(791\) −7.39744 27.6076i −0.263023 0.981614i
\(792\) 10.7326 17.0525i 0.381367 0.605934i
\(793\) −39.4938 36.5069i −1.40247 1.29640i
\(794\) −4.09735 11.7189i −0.145409 0.415889i
\(795\) 3.94652 + 1.03102i 0.139969 + 0.0365664i
\(796\) 27.0390 4.06165i 0.958371 0.143961i
\(797\) 1.46967 + 2.54554i 0.0520584 + 0.0901678i 0.890880 0.454238i \(-0.150088\pi\)
−0.838822 + 0.544406i \(0.816755\pi\)
\(798\) −19.1362 9.22139i −0.677414 0.326434i
\(799\) 7.40910 27.6511i 0.262115 0.978227i
\(800\) 10.6297 + 26.2109i 0.375815 + 0.926695i
\(801\) 2.82207 + 2.82207i 0.0997131 + 0.0997131i
\(802\) 15.0068 + 12.9209i 0.529908 + 0.456253i
\(803\) 3.28251 + 1.89516i 0.115837 + 0.0668787i
\(804\) −14.9113 + 20.1829i −0.525880 + 0.711798i
\(805\) 8.95668 15.7403i 0.315681 0.554772i
\(806\) 1.60088 + 14.0030i 0.0563887 + 0.493234i
\(807\) 0.677582 0.0238520
\(808\) −43.0953 13.3285i −1.51609 0.468896i
\(809\) −14.0915 + 24.4072i −0.495431 + 0.858111i −0.999986 0.00526812i \(-0.998323\pi\)
0.504555 + 0.863379i \(0.331656\pi\)
\(810\) 9.16302 3.26826i 0.321956 0.114835i
\(811\) −36.1942 36.1942i −1.27095 1.27095i −0.945591 0.325359i \(-0.894515\pi\)
−0.325359 0.945591i \(-0.605485\pi\)
\(812\) 6.65642 2.90021i 0.233595 0.101777i
\(813\) 5.68088 + 1.52219i 0.199237 + 0.0533854i
\(814\) −21.4550 10.3388i −0.751997 0.362374i
\(815\) 0.0532452 + 8.50140i 0.00186510 + 0.297791i
\(816\) −19.9815 18.5773i −0.699493 0.650337i
\(817\) 1.95066 + 7.27997i 0.0682450 + 0.254694i
\(818\) 4.85215 + 13.8778i 0.169651 + 0.485225i
\(819\) −13.1173 + 8.27658i −0.458355 + 0.289207i
\(820\) −44.2111 + 6.92458i −1.54392 + 0.241817i
\(821\) 4.81214 + 17.9592i 0.167945 + 0.626779i 0.997646 + 0.0685714i \(0.0218441\pi\)
−0.829701 + 0.558208i \(0.811489\pi\)
\(822\) −0.408316 0.0773632i −0.0142417 0.00269835i
\(823\) 13.1107 7.56947i 0.457011 0.263855i −0.253776 0.967263i \(-0.581673\pi\)
0.710786 + 0.703408i \(0.248339\pi\)
\(824\) −3.45193 15.1763i −0.120254 0.528693i
\(825\) 32.3208 9.09574i 1.12527 0.316673i
\(826\) 60.6540 4.53015i 2.11042 0.157624i
\(827\) −34.7410 34.7410i −1.20806 1.20806i −0.971654 0.236407i \(-0.924030\pi\)
−0.236407 0.971654i \(-0.575970\pi\)
\(828\) 6.47196 + 2.54379i 0.224916 + 0.0884028i
\(829\) 5.51285 + 3.18285i 0.191469 + 0.110545i 0.592670 0.805445i \(-0.298074\pi\)
−0.401201 + 0.915990i \(0.631407\pi\)
\(830\) −10.2486 + 0.830030i −0.355735 + 0.0288108i
\(831\) 11.5694 0.401338
\(832\) −21.1370 + 19.6272i −0.732792 + 0.680452i
\(833\) 16.0816i 0.557195i
\(834\) −9.61468 + 6.55166i −0.332929 + 0.226865i
\(835\) −21.6214 + 12.6643i −0.748238 + 0.438267i
\(836\) 14.2057 36.1425i 0.491316 1.25002i
\(837\) −10.9139 10.9139i −0.377241 0.377241i
\(838\) 0.946958 + 12.6788i 0.0327121 + 0.437981i
\(839\) 41.3512 + 11.0800i 1.42760 + 0.382525i 0.888174 0.459507i \(-0.151974\pi\)
0.539428 + 0.842032i \(0.318641\pi\)
\(840\) −24.5486 7.42427i −0.847007 0.256161i
\(841\) 13.8423 + 23.9756i 0.477322 + 0.826747i
\(842\) 17.4621 + 3.30852i 0.601782 + 0.114019i
\(843\) −7.45800 + 1.99837i −0.256867 + 0.0688274i
\(844\) −26.3693 + 21.0072i −0.907668 + 0.723099i
\(845\) −18.7395 + 22.2223i −0.644657 + 0.764472i
\(846\) 9.75367 3.41022i 0.335338 0.117246i
\(847\) 13.5012 + 50.3872i 0.463907 + 1.73132i
\(848\) 3.87839 4.17154i 0.133184 0.143251i
\(849\) −26.2749 + 15.1698i −0.901753 + 0.520627i
\(850\) 3.27424 + 37.5070i 0.112306 + 1.28648i
\(851\) 2.12739 7.93952i 0.0729259 0.272163i
\(852\) 11.1692 4.86641i 0.382649 0.166721i
\(853\) −5.98390 + 5.98390i −0.204885 + 0.204885i −0.802089 0.597204i \(-0.796278\pi\)
0.597204 + 0.802089i \(0.296278\pi\)
\(854\) −50.6036 43.5700i −1.73162 1.49093i
\(855\) −9.71223 + 5.68876i −0.332151 + 0.194551i
\(856\) 4.16624 13.4708i 0.142399 0.460421i
\(857\) −23.7437 −0.811071 −0.405535 0.914079i \(-0.632915\pi\)
−0.405535 + 0.914079i \(0.632915\pi\)
\(858\) 20.3780 + 27.5172i 0.695694 + 0.939423i
\(859\) 39.1118i 1.33448i −0.744844 0.667238i \(-0.767476\pi\)
0.744844 0.667238i \(-0.232524\pi\)
\(860\) 3.68684 + 8.31919i 0.125720 + 0.283682i
\(861\) 20.2885 35.1408i 0.691432 1.19760i
\(862\) −4.94497 4.25764i −0.168426 0.145016i
\(863\) −6.37009 + 6.37009i −0.216840 + 0.216840i −0.807166 0.590325i \(-0.799000\pi\)
0.590325 + 0.807166i \(0.299000\pi\)
\(864\) 4.74691 31.2290i 0.161493 1.06243i
\(865\) −28.3873 28.0339i −0.965197 0.953182i
\(866\) 0.205985 0.427458i 0.00699964 0.0145256i
\(867\) −7.26985 12.5917i −0.246897 0.427638i
\(868\) 2.59951 + 17.3053i 0.0882332 + 0.587380i
\(869\) −33.3557 + 8.93763i −1.13151 + 0.303188i
\(870\) −0.836270 + 4.57006i −0.0283522 + 0.154940i
\(871\) 18.8444 + 29.8658i 0.638517 + 1.01197i
\(872\) 11.0133 17.4984i 0.372957 0.592572i
\(873\) −13.9461 + 3.73685i −0.472004 + 0.126473i
\(874\) 13.1684 + 2.49501i 0.445429 + 0.0843950i
\(875\) 18.2683 + 30.3118i 0.617583 + 1.02473i
\(876\) 1.84078 + 0.208337i 0.0621940 + 0.00703906i
\(877\) 4.60101 17.1712i 0.155365 0.579830i −0.843709 0.536801i \(-0.819633\pi\)
0.999074 0.0430291i \(-0.0137008\pi\)
\(878\) 23.5757 1.76083i 0.795640 0.0594251i
\(879\) 14.6543 14.6543i 0.494276 0.494276i
\(880\) 10.1925 45.7651i 0.343587 1.54274i
\(881\) 25.4582 + 14.6983i 0.857708 + 0.495198i 0.863244 0.504787i \(-0.168429\pi\)
−0.00553628 + 0.999985i \(0.501762\pi\)
\(882\) −4.79680 + 3.26865i −0.161517 + 0.110061i
\(883\) 33.2676i 1.11954i 0.828647 + 0.559771i \(0.189111\pi\)
−0.828647 + 0.559771i \(0.810889\pi\)
\(884\) −34.5699 + 16.7068i −1.16271 + 0.561912i
\(885\) −19.2478 + 33.8257i −0.647009 + 1.13704i
\(886\) −7.31324 10.7323i −0.245693 0.360559i
\(887\) 12.8532 22.2624i 0.431569 0.747499i −0.565440 0.824790i \(-0.691293\pi\)
0.997009 + 0.0772903i \(0.0246268\pi\)
\(888\) −11.6317 0.443958i −0.390335 0.0148983i
\(889\) −2.80827 + 2.80827i −0.0941864 + 0.0941864i
\(890\) 8.39146 + 3.97913i 0.281282 + 0.133381i
\(891\) −15.5772 4.17389i −0.521855 0.139831i
\(892\) 39.8084 + 4.50548i 1.33289 + 0.150855i
\(893\) 17.2467 9.95736i 0.577137 0.333210i
\(894\) 21.2942 + 4.03459i 0.712185 + 0.134937i
\(895\) −13.4973 + 51.6649i −0.451166 + 1.72697i
\(896\) −25.3682 + 25.2796i −0.847491 + 0.844532i
\(897\) −8.02170 + 8.67801i −0.267837 + 0.289750i
\(898\) −0.437805 + 0.153072i −0.0146098 + 0.00510808i
\(899\) 3.06204 0.820471i 0.102125 0.0273642i
\(900\) −10.5220 + 8.60008i −0.350735 + 0.286669i
\(901\) 6.56616 3.79097i 0.218751 0.126296i
\(902\) 66.8272 + 32.2029i 2.22510 + 1.07224i
\(903\) −7.96985 2.13552i −0.265220 0.0710655i
\(904\) 18.7338 17.3563i 0.623077 0.577262i
\(905\) 9.35775 + 34.0687i 0.311062 + 1.13248i
\(906\) −12.0930 + 14.0452i −0.401762 + 0.466620i
\(907\) −38.5572 22.2610i −1.28027 0.739165i −0.303373 0.952872i \(-0.598113\pi\)
−0.976898 + 0.213707i \(0.931446\pi\)
\(908\) −29.2593 + 39.6035i −0.971003 + 1.31429i
\(909\) 21.6733i 0.718858i
\(910\) −22.2796 + 28.3947i −0.738563 + 0.941276i
\(911\) 2.01663i 0.0668140i 0.999442 + 0.0334070i \(0.0106358\pi\)
−0.999442 + 0.0334070i \(0.989364\pi\)
\(912\) −0.690740 18.9677i −0.0228727 0.628083i
\(913\) 14.7611 + 8.52230i 0.488520 + 0.282047i
\(914\) 38.8791 + 33.4751i 1.28601 + 1.10726i
\(915\) 41.2020 11.3171i 1.36209 0.374131i
\(916\) 16.2736 7.09040i 0.537693 0.234274i
\(917\) 35.9385 + 9.62969i 1.18679 + 0.318000i
\(918\) 18.2529 37.8784i 0.602437 1.25017i
\(919\) −42.4926 + 24.5331i −1.40170 + 0.809272i −0.994567 0.104097i \(-0.966805\pi\)
−0.407133 + 0.913369i \(0.633472\pi\)
\(920\) 16.1736 + 0.515891i 0.533227 + 0.0170084i
\(921\) 10.7407 2.87796i 0.353918 0.0948320i
\(922\) −3.91731 11.2040i −0.129010 0.368985i
\(923\) −0.673298 17.1321i −0.0221619 0.563909i
\(924\) 26.4905 + 33.2521i 0.871474 + 1.09392i
\(925\) 11.4996 + 11.2150i 0.378103 + 0.368748i
\(926\) −0.453246 + 2.39219i −0.0148946 + 0.0786122i
\(927\) 6.47604 3.73894i 0.212701 0.122803i
\(928\) 5.06720 + 4.05132i 0.166339 + 0.132991i
\(929\) 17.4706 + 4.68125i 0.573193 + 0.153587i 0.533761 0.845636i \(-0.320778\pi\)
0.0394326 + 0.999222i \(0.487445\pi\)
\(930\) −10.1175 4.79759i −0.331765 0.157319i
\(931\) −7.91079 + 7.91079i −0.259266 + 0.259266i
\(932\) −12.1254 + 30.8498i −0.397182 + 1.01052i
\(933\) 10.2803 17.8059i 0.336561 0.582940i
\(934\) 31.6618 21.5751i 1.03601 0.705957i
\(935\) 30.8665 54.2441i 1.00944 1.77397i
\(936\) −12.0098 6.91574i −0.392551 0.226048i
\(937\) 28.2050i 0.921418i 0.887551 + 0.460709i \(0.152405\pi\)
−0.887551 + 0.460709i \(0.847595\pi\)
\(938\) 24.6903 + 36.2335i 0.806168 + 1.18307i
\(939\) −4.21857 2.43559i −0.137668 0.0794825i
\(940\) 18.7117 15.0993i 0.610308 0.492486i
\(941\) −32.5609 + 32.5609i −1.06145 + 1.06145i −0.0634696 + 0.997984i \(0.520217\pi\)
−0.997984 + 0.0634696i \(0.979783\pi\)
\(942\) 0.0398224 + 0.533180i 0.00129748 + 0.0173720i
\(943\) −6.62631 + 24.7297i −0.215783 + 0.805311i
\(944\) 28.8681 + 46.0454i 0.939576 + 1.49865i
\(945\) −0.247543 39.5239i −0.00805257 1.28571i
\(946\) 2.80803 14.8205i 0.0912968 0.481856i
\(947\) −38.3792 + 10.2837i −1.24716 + 0.334175i −0.821238 0.570586i \(-0.806716\pi\)
−0.425919 + 0.904761i \(0.640049\pi\)
\(948\) −13.2008 + 10.5165i −0.428743 + 0.341561i
\(949\) 1.21385 2.30720i 0.0394031 0.0748949i
\(950\) −16.8396 + 20.0609i −0.546349 + 0.650862i
\(951\) 28.4751 7.62989i 0.923369 0.247416i
\(952\) −42.1641 + 22.2440i −1.36655 + 0.720931i
\(953\) −10.1819 17.6356i −0.329825 0.571273i 0.652652 0.757658i \(-0.273656\pi\)
−0.982477 + 0.186385i \(0.940323\pi\)
\(954\) 2.46536 + 1.18801i 0.0798191 + 0.0384634i
\(955\) 2.02822 2.05379i 0.0656316 0.0664589i
\(956\) −13.3549 + 5.81874i −0.431928 + 0.188192i
\(957\) 5.44579 5.44579i 0.176037 0.176037i
\(958\) 20.7046 24.0470i 0.668936 0.776925i
\(959\) −0.363070 + 0.628855i −0.0117241 + 0.0203068i
\(960\) −4.36754 22.4958i −0.140962 0.726048i
\(961\) 23.3598i 0.753541i
\(962\) −6.52614 + 15.0249i −0.210411 + 0.484421i
\(963\) 6.77467 0.218311
\(964\) 28.5858 + 21.1193i 0.920685 + 0.680208i
\(965\) 15.3722 + 26.2444i 0.494847 + 0.844837i
\(966\) −9.57367 + 11.1192i −0.308028 + 0.357754i
\(967\) −0.868293 + 0.868293i −0.0279224 + 0.0279224i −0.720930 0.693008i \(-0.756285\pi\)
0.693008 + 0.720930i \(0.256285\pi\)
\(968\) −34.1914 + 31.6773i −1.09895 + 1.01815i
\(969\) 6.53905 24.4041i 0.210065 0.783971i
\(970\) −27.6452 + 19.0927i −0.887632 + 0.613028i
\(971\) 46.4532 26.8197i 1.49075 0.860686i 0.490809 0.871267i \(-0.336701\pi\)
0.999944 + 0.0105811i \(0.00336812\pi\)
\(972\) 25.3376 3.80608i 0.812703 0.122080i
\(973\) 5.26159 + 19.6365i 0.168679 + 0.629518i
\(974\) 1.40174 + 4.00915i 0.0449146 + 0.128461i
\(975\) −7.12433 21.9678i −0.228161 0.703533i
\(976\) 13.3350 58.1567i 0.426844 1.86155i
\(977\) −11.6644 + 3.12546i −0.373177 + 0.0999924i −0.440533 0.897737i \(-0.645210\pi\)
0.0673559 + 0.997729i \(0.478544\pi\)
\(978\) 1.28224 6.76754i 0.0410015 0.216402i
\(979\) −7.69753 13.3325i −0.246014 0.426109i
\(980\) −7.95814 + 10.9140i −0.254213 + 0.348635i
\(981\) 9.59543 + 2.57109i 0.306358 + 0.0820885i
\(982\) 10.1652 0.759225i 0.324386 0.0242278i
\(983\) 12.7293 + 12.7293i 0.406000 + 0.406000i 0.880341 0.474341i \(-0.157314\pi\)
−0.474341 + 0.880341i \(0.657314\pi\)
\(984\) 36.2301 + 1.38283i 1.15497 + 0.0440829i
\(985\) −39.9581 + 23.4047i −1.27317 + 0.745736i
\(986\) 4.86296 + 7.13648i 0.154868 + 0.227272i
\(987\) 21.8019i 0.693963i
\(988\) −25.2238 8.78712i −0.802476 0.279556i
\(989\) 5.20597 0.165540
\(990\) 22.4536 1.81850i 0.713622 0.0577958i
\(991\) −32.9604 19.0297i −1.04702 0.604498i −0.125207 0.992131i \(-0.539959\pi\)
−0.921814 + 0.387633i \(0.873293\pi\)
\(992\) −12.5924 + 9.26931i −0.399808 + 0.294301i
\(993\) 18.9895 + 18.9895i 0.602613 + 0.602613i
\(994\) −1.58553 21.2286i −0.0502899 0.673330i
\(995\) 21.7510 + 21.4802i 0.689552 + 0.680968i
\(996\) 8.27774 + 0.936867i 0.262290 + 0.0296858i
\(997\) 48.4498 27.9725i 1.53442 0.885898i 0.535271 0.844681i \(-0.320210\pi\)
0.999150 0.0412176i \(-0.0131237\pi\)
\(998\) 11.2524 59.3891i 0.356188 1.87993i
\(999\) −4.64294 17.3277i −0.146896 0.548223i
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 260.2.bc.c.19.11 144
4.3 odd 2 inner 260.2.bc.c.19.17 yes 144
5.4 even 2 inner 260.2.bc.c.19.26 yes 144
13.11 odd 12 inner 260.2.bc.c.219.20 yes 144
20.19 odd 2 inner 260.2.bc.c.19.20 yes 144
52.11 even 12 inner 260.2.bc.c.219.26 yes 144
65.24 odd 12 inner 260.2.bc.c.219.17 yes 144
260.219 even 12 inner 260.2.bc.c.219.11 yes 144
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
260.2.bc.c.19.11 144 1.1 even 1 trivial
260.2.bc.c.19.17 yes 144 4.3 odd 2 inner
260.2.bc.c.19.20 yes 144 20.19 odd 2 inner
260.2.bc.c.19.26 yes 144 5.4 even 2 inner
260.2.bc.c.219.11 yes 144 260.219 even 12 inner
260.2.bc.c.219.17 yes 144 65.24 odd 12 inner
260.2.bc.c.219.20 yes 144 13.11 odd 12 inner
260.2.bc.c.219.26 yes 144 52.11 even 12 inner