Properties

Label 950.2.r.a.11.9
Level $950$
Weight $2$
Character 950.11
Analytic conductor $7.586$
Analytic rank $0$
Dimension $200$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [950,2,Mod(11,950)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(950, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([24, 20]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("950.11");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 950 = 2 \cdot 5^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 950.r (of order \(15\), degree \(8\), 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: \(7.58578819202\)
Analytic rank: \(0\)
Dimension: \(200\)
Relative dimension: \(25\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 11.9
Character \(\chi\) \(=\) 950.11
Dual form 950.2.r.a.691.9

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.104528 + 0.994522i) q^{2} +(-0.588897 - 0.654036i) q^{3} +(-0.978148 + 0.207912i) q^{4} +(-2.19070 - 0.448160i) q^{5} +(0.588897 - 0.654036i) q^{6} -3.02472 q^{7} +(-0.309017 - 0.951057i) q^{8} +(0.232622 - 2.21325i) q^{9} +O(q^{10})\) \(q+(0.104528 + 0.994522i) q^{2} +(-0.588897 - 0.654036i) q^{3} +(-0.978148 + 0.207912i) q^{4} +(-2.19070 - 0.448160i) q^{5} +(0.588897 - 0.654036i) q^{6} -3.02472 q^{7} +(-0.309017 - 0.951057i) q^{8} +(0.232622 - 2.21325i) q^{9} +(0.216715 - 2.22554i) q^{10} +(0.760299 - 0.552389i) q^{11} +(0.712010 + 0.517305i) q^{12} +(-0.363850 + 3.46181i) q^{13} +(-0.316169 - 3.00815i) q^{14} +(0.996981 + 1.69671i) q^{15} +(0.913545 - 0.406737i) q^{16} +(-3.38520 - 0.719546i) q^{17} +2.22544 q^{18} +(2.63133 + 3.47507i) q^{19} +(2.23600 - 0.0171045i) q^{20} +(1.78125 + 1.97828i) q^{21} +(0.628836 + 0.698393i) q^{22} +(8.52889 + 3.79731i) q^{23} +(-0.440046 + 0.762182i) q^{24} +(4.59830 + 1.96357i) q^{25} -3.48087 q^{26} +(-3.72056 + 2.70315i) q^{27} +(2.95862 - 0.628875i) q^{28} +(8.18799 - 1.74041i) q^{29} +(-1.58321 + 1.16887i) q^{30} +(-2.11867 - 6.52061i) q^{31} +(0.500000 + 0.866025i) q^{32} +(-0.809020 - 0.171962i) q^{33} +(0.361755 - 3.44187i) q^{34} +(6.62624 + 1.35556i) q^{35} +(0.232622 + 2.21325i) q^{36} +(7.02537 + 5.10423i) q^{37} +(-3.18098 + 2.98016i) q^{38} +(2.47842 - 1.80067i) q^{39} +(0.250737 + 2.22197i) q^{40} +(-7.01458 + 3.12309i) q^{41} +(-1.78125 + 1.97828i) q^{42} +(-1.01966 + 1.76611i) q^{43} +(-0.628836 + 0.698393i) q^{44} +(-1.50149 + 4.74430i) q^{45} +(-2.88499 + 8.87910i) q^{46} +(1.31042 - 0.278538i) q^{47} +(-0.804004 - 0.357966i) q^{48} +2.14893 q^{49} +(-1.47216 + 4.77836i) q^{50} +(1.52292 + 2.63778i) q^{51} +(-0.363850 - 3.46181i) q^{52} +(-3.20512 + 0.681270i) q^{53} +(-3.07724 - 3.41762i) q^{54} +(-1.91314 + 0.869382i) q^{55} +(0.934690 + 2.87668i) q^{56} +(0.723238 - 3.76744i) q^{57} +(2.58675 + 7.96121i) q^{58} +(8.38040 - 3.73119i) q^{59} +(-1.32796 - 1.45235i) q^{60} +(0.261597 + 0.116470i) q^{61} +(6.26342 - 2.78866i) q^{62} +(-0.703615 + 6.69445i) q^{63} +(-0.809017 + 0.587785i) q^{64} +(2.34853 - 7.42070i) q^{65} +(0.0864549 - 0.822563i) q^{66} +(1.11630 - 1.23978i) q^{67} +3.46083 q^{68} +(-2.53906 - 7.81443i) q^{69} +(-0.655502 + 6.73164i) q^{70} +(2.28107 + 2.53339i) q^{71} +(-2.17681 + 0.462695i) q^{72} +(0.535823 + 5.09802i) q^{73} +(-4.34191 + 7.52042i) q^{74} +(-1.42368 - 4.16379i) q^{75} +(-3.29634 - 2.85205i) q^{76} +(-2.29969 + 1.67082i) q^{77} +(2.04988 + 2.27662i) q^{78} +(4.09207 + 4.54471i) q^{79} +(-2.18358 + 0.481622i) q^{80} +(-2.57144 - 0.546576i) q^{81} +(-3.83921 - 6.64970i) q^{82} +(0.712309 + 2.19226i) q^{83} +(-2.15363 - 1.56470i) q^{84} +(7.09347 + 3.09342i) q^{85} +(-1.86302 - 0.829469i) q^{86} +(-5.96017 - 4.33031i) q^{87} +(-0.760299 - 0.552389i) q^{88} +(1.44999 + 0.645577i) q^{89} +(-4.87526 - 0.997353i) q^{90} +(1.10055 - 10.4710i) q^{91} +(-9.13202 - 1.94107i) q^{92} +(-3.01703 + 5.22565i) q^{93} +(0.413987 + 1.27412i) q^{94} +(-4.20706 - 8.79208i) q^{95} +(0.271963 - 0.837017i) q^{96} +(-0.912570 - 1.01351i) q^{97} +(0.224625 + 2.13716i) q^{98} +(-1.04571 - 1.81123i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 200 q - 25 q^{2} + 25 q^{4} + q^{5} - 36 q^{7} + 50 q^{8} + 37 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 200 q - 25 q^{2} + 25 q^{4} + q^{5} - 36 q^{7} + 50 q^{8} + 37 q^{9} + 4 q^{10} - 2 q^{11} + 8 q^{13} + 7 q^{14} + 10 q^{15} + 25 q^{16} - 13 q^{17} - 216 q^{18} - 36 q^{19} - 2 q^{20} + 4 q^{22} - 13 q^{23} + 33 q^{25} - 64 q^{26} - 2 q^{28} + 12 q^{29} - 20 q^{30} + 12 q^{31} + 100 q^{32} - 12 q^{33} + 8 q^{34} - 22 q^{35} + 37 q^{36} + 8 q^{37} + 18 q^{38} + 28 q^{39} - q^{40} + 2 q^{41} + 70 q^{43} - 4 q^{44} + 60 q^{45} + 24 q^{46} - 22 q^{47} + 156 q^{49} + 26 q^{50} - 42 q^{51} + 8 q^{52} - 18 q^{53} - 10 q^{55} - 4 q^{56} + 74 q^{57} + 24 q^{58} + 50 q^{59} + 12 q^{61} - 4 q^{62} - 45 q^{63} - 50 q^{64} + 120 q^{65} + 2 q^{66} - 18 q^{67} - 84 q^{68} + 4 q^{69} - 13 q^{70} + 19 q^{71} - 17 q^{72} - 24 q^{73} + 4 q^{74} - 136 q^{75} - 6 q^{76} - 12 q^{77} - 26 q^{78} - 8 q^{79} + q^{80} - 63 q^{81} + 28 q^{82} + 16 q^{83} - 20 q^{84} - 5 q^{85} + 20 q^{86} - 64 q^{87} + 2 q^{88} + 16 q^{89} - 65 q^{90} + 72 q^{91} + 12 q^{92} - 8 q^{93} - 44 q^{94} - 73 q^{95} - 11 q^{97} - 27 q^{98} + 16 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(401\)
\(\chi(n)\) \(e\left(\frac{4}{5}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.104528 + 0.994522i 0.0739128 + 0.703233i
\(3\) −0.588897 0.654036i −0.340000 0.377608i 0.548761 0.835979i \(-0.315100\pi\)
−0.888761 + 0.458371i \(0.848433\pi\)
\(4\) −0.978148 + 0.207912i −0.489074 + 0.103956i
\(5\) −2.19070 0.448160i −0.979709 0.200423i
\(6\) 0.588897 0.654036i 0.240416 0.267009i
\(7\) −3.02472 −1.14324 −0.571618 0.820520i \(-0.693684\pi\)
−0.571618 + 0.820520i \(0.693684\pi\)
\(8\) −0.309017 0.951057i −0.109254 0.336249i
\(9\) 0.232622 2.21325i 0.0775405 0.737749i
\(10\) 0.216715 2.22554i 0.0685313 0.703778i
\(11\) 0.760299 0.552389i 0.229239 0.166552i −0.467237 0.884132i \(-0.654750\pi\)
0.696476 + 0.717581i \(0.254750\pi\)
\(12\) 0.712010 + 0.517305i 0.205539 + 0.149333i
\(13\) −0.363850 + 3.46181i −0.100914 + 0.960132i 0.820525 + 0.571610i \(0.193681\pi\)
−0.921439 + 0.388522i \(0.872986\pi\)
\(14\) −0.316169 3.00815i −0.0844998 0.803962i
\(15\) 0.996981 + 1.69671i 0.257419 + 0.438090i
\(16\) 0.913545 0.406737i 0.228386 0.101684i
\(17\) −3.38520 0.719546i −0.821032 0.174516i −0.221801 0.975092i \(-0.571193\pi\)
−0.599231 + 0.800576i \(0.704527\pi\)
\(18\) 2.22544 0.524541
\(19\) 2.63133 + 3.47507i 0.603669 + 0.797235i
\(20\) 2.23600 0.0171045i 0.499985 0.00382469i
\(21\) 1.78125 + 1.97828i 0.388700 + 0.431695i
\(22\) 0.628836 + 0.698393i 0.134068 + 0.148898i
\(23\) 8.52889 + 3.79731i 1.77840 + 0.791794i 0.982475 + 0.186395i \(0.0596805\pi\)
0.795923 + 0.605398i \(0.206986\pi\)
\(24\) −0.440046 + 0.762182i −0.0898240 + 0.155580i
\(25\) 4.59830 + 1.96357i 0.919661 + 0.392713i
\(26\) −3.48087 −0.682656
\(27\) −3.72056 + 2.70315i −0.716022 + 0.520221i
\(28\) 2.95862 0.628875i 0.559127 0.118846i
\(29\) 8.18799 1.74041i 1.52047 0.323186i 0.629411 0.777072i \(-0.283296\pi\)
0.891060 + 0.453886i \(0.149963\pi\)
\(30\) −1.58321 + 1.16887i −0.289053 + 0.213406i
\(31\) −2.11867 6.52061i −0.380525 1.17114i −0.939675 0.342069i \(-0.888872\pi\)
0.559150 0.829067i \(-0.311128\pi\)
\(32\) 0.500000 + 0.866025i 0.0883883 + 0.153093i
\(33\) −0.809020 0.171962i −0.140832 0.0299348i
\(34\) 0.361755 3.44187i 0.0620405 0.590276i
\(35\) 6.62624 + 1.35556i 1.12004 + 0.229131i
\(36\) 0.232622 + 2.21325i 0.0387703 + 0.368874i
\(37\) 7.02537 + 5.10423i 1.15496 + 0.839130i 0.989133 0.147025i \(-0.0469697\pi\)
0.165830 + 0.986154i \(0.446970\pi\)
\(38\) −3.18098 + 2.98016i −0.516024 + 0.483446i
\(39\) 2.47842 1.80067i 0.396864 0.288339i
\(40\) 0.250737 + 2.22197i 0.0396450 + 0.351324i
\(41\) −7.01458 + 3.12309i −1.09549 + 0.487745i −0.873263 0.487249i \(-0.838000\pi\)
−0.222230 + 0.974994i \(0.571334\pi\)
\(42\) −1.78125 + 1.97828i −0.274852 + 0.305255i
\(43\) −1.01966 + 1.76611i −0.155497 + 0.269329i −0.933240 0.359254i \(-0.883031\pi\)
0.777743 + 0.628583i \(0.216365\pi\)
\(44\) −0.628836 + 0.698393i −0.0948006 + 0.105287i
\(45\) −1.50149 + 4.74430i −0.223829 + 0.707239i
\(46\) −2.88499 + 8.87910i −0.425369 + 1.30915i
\(47\) 1.31042 0.278538i 0.191144 0.0406289i −0.111345 0.993782i \(-0.535516\pi\)
0.302489 + 0.953153i \(0.402183\pi\)
\(48\) −0.804004 0.357966i −0.116048 0.0516679i
\(49\) 2.14893 0.306990
\(50\) −1.47216 + 4.77836i −0.208194 + 0.675763i
\(51\) 1.52292 + 2.63778i 0.213252 + 0.369363i
\(52\) −0.363850 3.46181i −0.0504570 0.480066i
\(53\) −3.20512 + 0.681270i −0.440257 + 0.0935796i −0.422707 0.906266i \(-0.638920\pi\)
−0.0175504 + 0.999846i \(0.505587\pi\)
\(54\) −3.07724 3.41762i −0.418760 0.465080i
\(55\) −1.91314 + 0.869382i −0.257968 + 0.117227i
\(56\) 0.934690 + 2.87668i 0.124903 + 0.384413i
\(57\) 0.723238 3.76744i 0.0957952 0.499010i
\(58\) 2.58675 + 7.96121i 0.339657 + 1.04536i
\(59\) 8.38040 3.73119i 1.09103 0.485760i 0.219260 0.975667i \(-0.429636\pi\)
0.871775 + 0.489907i \(0.162969\pi\)
\(60\) −1.32796 1.45235i −0.171439 0.187498i
\(61\) 0.261597 + 0.116470i 0.0334940 + 0.0149125i 0.423415 0.905936i \(-0.360831\pi\)
−0.389921 + 0.920848i \(0.627498\pi\)
\(62\) 6.26342 2.78866i 0.795456 0.354160i
\(63\) −0.703615 + 6.69445i −0.0886472 + 0.843422i
\(64\) −0.809017 + 0.587785i −0.101127 + 0.0734732i
\(65\) 2.34853 7.42070i 0.291299 0.920425i
\(66\) 0.0864549 0.822563i 0.0106419 0.101251i
\(67\) 1.11630 1.23978i 0.136378 0.151463i −0.671087 0.741379i \(-0.734172\pi\)
0.807465 + 0.589915i \(0.200839\pi\)
\(68\) 3.46083 0.419687
\(69\) −2.53906 7.81443i −0.305667 0.940746i
\(70\) −0.655502 + 6.73164i −0.0783475 + 0.804585i
\(71\) 2.28107 + 2.53339i 0.270713 + 0.300658i 0.863138 0.504968i \(-0.168496\pi\)
−0.592425 + 0.805626i \(0.701829\pi\)
\(72\) −2.17681 + 0.462695i −0.256539 + 0.0545291i
\(73\) 0.535823 + 5.09802i 0.0627133 + 0.596678i 0.980076 + 0.198624i \(0.0636474\pi\)
−0.917362 + 0.398053i \(0.869686\pi\)
\(74\) −4.34191 + 7.52042i −0.504737 + 0.874231i
\(75\) −1.42368 4.16379i −0.164393 0.480794i
\(76\) −3.29634 2.85205i −0.378116 0.327152i
\(77\) −2.29969 + 1.67082i −0.262074 + 0.190408i
\(78\) 2.04988 + 2.27662i 0.232103 + 0.257776i
\(79\) 4.09207 + 4.54471i 0.460394 + 0.511319i 0.927981 0.372628i \(-0.121543\pi\)
−0.467587 + 0.883947i \(0.654876\pi\)
\(80\) −2.18358 + 0.481622i −0.244132 + 0.0538470i
\(81\) −2.57144 0.546576i −0.285715 0.0607307i
\(82\) −3.83921 6.64970i −0.423969 0.734337i
\(83\) 0.712309 + 2.19226i 0.0781861 + 0.240632i 0.982508 0.186218i \(-0.0596231\pi\)
−0.904322 + 0.426850i \(0.859623\pi\)
\(84\) −2.15363 1.56470i −0.234980 0.170723i
\(85\) 7.09347 + 3.09342i 0.769395 + 0.335529i
\(86\) −1.86302 0.829469i −0.200894 0.0894439i
\(87\) −5.96017 4.33031i −0.638997 0.464258i
\(88\) −0.760299 0.552389i −0.0810481 0.0588849i
\(89\) 1.44999 + 0.645577i 0.153699 + 0.0684311i 0.482144 0.876092i \(-0.339858\pi\)
−0.328446 + 0.944523i \(0.606525\pi\)
\(90\) −4.87526 0.997353i −0.513897 0.105130i
\(91\) 1.10055 10.4710i 0.115369 1.09766i
\(92\) −9.13202 1.94107i −0.952079 0.202371i
\(93\) −3.01703 + 5.22565i −0.312852 + 0.541875i
\(94\) 0.413987 + 1.27412i 0.0426995 + 0.131416i
\(95\) −4.20706 8.79208i −0.431635 0.902048i
\(96\) 0.271963 0.837017i 0.0277572 0.0854277i
\(97\) −0.912570 1.01351i −0.0926574 0.102906i 0.695033 0.718978i \(-0.255390\pi\)
−0.787690 + 0.616072i \(0.788723\pi\)
\(98\) 0.224625 + 2.13716i 0.0226905 + 0.215886i
\(99\) −1.04571 1.81123i −0.105098 0.182035i
\(100\) −4.90607 0.964617i −0.490607 0.0964617i
\(101\) 5.45440 + 9.44729i 0.542733 + 0.940041i 0.998746 + 0.0500676i \(0.0159437\pi\)
−0.456013 + 0.889973i \(0.650723\pi\)
\(102\) −2.46414 + 1.79030i −0.243986 + 0.177267i
\(103\) 4.88326 15.0291i 0.481162 1.48086i −0.356302 0.934371i \(-0.615962\pi\)
0.837464 0.546493i \(-0.184038\pi\)
\(104\) 3.40481 0.723714i 0.333869 0.0709660i
\(105\) −3.01559 5.13209i −0.294291 0.500840i
\(106\) −1.01256 3.11635i −0.0983489 0.302687i
\(107\) 7.36107 0.711622 0.355811 0.934558i \(-0.384205\pi\)
0.355811 + 0.934558i \(0.384205\pi\)
\(108\) 3.07724 3.41762i 0.296108 0.328861i
\(109\) −3.33491 + 1.48480i −0.319426 + 0.142218i −0.560186 0.828367i \(-0.689270\pi\)
0.240759 + 0.970585i \(0.422604\pi\)
\(110\) −1.06460 1.81179i −0.101505 0.172747i
\(111\) −0.798866 7.60070i −0.0758250 0.721427i
\(112\) −2.76322 + 1.23026i −0.261100 + 0.116249i
\(113\) 9.57518 + 6.95678i 0.900758 + 0.654439i 0.938660 0.344843i \(-0.112068\pi\)
−0.0379029 + 0.999281i \(0.512068\pi\)
\(114\) 3.82240 + 0.325471i 0.358001 + 0.0304832i
\(115\) −16.9824 12.1411i −1.58362 1.13216i
\(116\) −7.64721 + 3.40476i −0.710025 + 0.316124i
\(117\) 7.57719 + 1.61058i 0.700512 + 0.148898i
\(118\) 4.58674 + 7.94447i 0.422244 + 0.731348i
\(119\) 10.2393 + 2.17643i 0.938634 + 0.199513i
\(120\) 1.30559 1.47250i 0.119183 0.134420i
\(121\) −3.12627 + 9.62166i −0.284206 + 0.874696i
\(122\) −0.0884880 + 0.272338i −0.00801132 + 0.0246563i
\(123\) 6.17348 + 2.74861i 0.556644 + 0.247834i
\(124\) 3.42809 + 5.93762i 0.307851 + 0.533214i
\(125\) −9.19350 6.36236i −0.822292 0.569066i
\(126\) −6.73133 −0.599674
\(127\) −0.907358 0.403982i −0.0805150 0.0358476i 0.366084 0.930582i \(-0.380698\pi\)
−0.446599 + 0.894734i \(0.647365\pi\)
\(128\) −0.669131 0.743145i −0.0591433 0.0656853i
\(129\) 1.75558 0.373159i 0.154570 0.0328548i
\(130\) 7.62554 + 1.55999i 0.668804 + 0.136820i
\(131\) 9.55142 + 2.03022i 0.834511 + 0.177381i 0.605302 0.795996i \(-0.293052\pi\)
0.229210 + 0.973377i \(0.426386\pi\)
\(132\) 0.827094 0.0719893
\(133\) −7.95904 10.5111i −0.690136 0.911429i
\(134\) 1.34968 + 0.980597i 0.116594 + 0.0847107i
\(135\) 9.36206 4.25437i 0.805758 0.366157i
\(136\) 0.361755 + 3.44187i 0.0310202 + 0.295138i
\(137\) −2.31014 + 21.9795i −0.197368 + 1.87783i 0.229202 + 0.973379i \(0.426388\pi\)
−0.426570 + 0.904455i \(0.640278\pi\)
\(138\) 7.50621 3.34198i 0.638971 0.284488i
\(139\) −14.0854 6.27123i −1.19471 0.531919i −0.289621 0.957141i \(-0.593529\pi\)
−0.905089 + 0.425223i \(0.860196\pi\)
\(140\) −6.76328 + 0.0517364i −0.571602 + 0.00437253i
\(141\) −0.953873 0.693029i −0.0803306 0.0583636i
\(142\) −2.28107 + 2.53339i −0.191423 + 0.212597i
\(143\) 1.63563 + 2.83299i 0.136778 + 0.236907i
\(144\) −0.687698 2.11652i −0.0573082 0.176376i
\(145\) −18.7174 + 0.143181i −1.55439 + 0.0118905i
\(146\) −5.01408 + 1.06578i −0.414968 + 0.0882042i
\(147\) −1.26550 1.40548i −0.104377 0.115922i
\(148\) −7.93307 3.53203i −0.652095 0.290331i
\(149\) 3.86604 6.69618i 0.316718 0.548572i −0.663083 0.748546i \(-0.730752\pi\)
0.979801 + 0.199974i \(0.0640857\pi\)
\(150\) 3.99217 1.85112i 0.325959 0.151143i
\(151\) −7.51127 −0.611258 −0.305629 0.952151i \(-0.598867\pi\)
−0.305629 + 0.952151i \(0.598867\pi\)
\(152\) 2.49186 3.57640i 0.202117 0.290084i
\(153\) −2.38000 + 7.32490i −0.192412 + 0.592183i
\(154\) −1.90205 2.11244i −0.153272 0.170226i
\(155\) 1.71909 + 15.2342i 0.138081 + 1.22364i
\(156\) −2.04988 + 2.27662i −0.164121 + 0.182275i
\(157\) 5.59350 9.68822i 0.446410 0.773204i −0.551740 0.834016i \(-0.686036\pi\)
0.998149 + 0.0608124i \(0.0193691\pi\)
\(158\) −4.09207 + 4.54471i −0.325548 + 0.361557i
\(159\) 2.33306 + 1.69507i 0.185024 + 0.134428i
\(160\) −0.707230 2.12128i −0.0559115 0.167702i
\(161\) −25.7975 11.4858i −2.03313 0.905207i
\(162\) 0.274794 2.61449i 0.0215898 0.205413i
\(163\) −1.79212 1.30205i −0.140370 0.101985i 0.515384 0.856959i \(-0.327649\pi\)
−0.655754 + 0.754975i \(0.727649\pi\)
\(164\) 6.21197 4.51326i 0.485073 0.352426i
\(165\) 1.69525 + 0.739288i 0.131975 + 0.0575535i
\(166\) −2.10580 + 0.937561i −0.163442 + 0.0727688i
\(167\) −3.82658 + 4.24985i −0.296110 + 0.328863i −0.872780 0.488114i \(-0.837685\pi\)
0.576670 + 0.816977i \(0.304352\pi\)
\(168\) 1.33102 2.30539i 0.102690 0.177865i
\(169\) 0.864206 + 0.183693i 0.0664774 + 0.0141302i
\(170\) −2.33500 + 7.37797i −0.179087 + 0.565864i
\(171\) 8.30329 5.01541i 0.634968 0.383538i
\(172\) 0.630187 1.93952i 0.0480513 0.147887i
\(173\) −0.704584 6.70367i −0.0535685 0.509670i −0.988103 0.153797i \(-0.950850\pi\)
0.934534 0.355874i \(-0.115817\pi\)
\(174\) 3.68359 6.38016i 0.279252 0.483679i
\(175\) −13.9086 5.93924i −1.05139 0.448964i
\(176\) 0.469891 0.813874i 0.0354193 0.0613481i
\(177\) −7.37552 3.28379i −0.554378 0.246825i
\(178\) −0.490476 + 1.50953i −0.0367627 + 0.113144i
\(179\) 4.38031 13.4812i 0.327399 1.00763i −0.642946 0.765911i \(-0.722288\pi\)
0.970346 0.241721i \(-0.0777118\pi\)
\(180\) 0.482286 4.95280i 0.0359475 0.369160i
\(181\) −1.70927 + 1.89834i −0.127049 + 0.141103i −0.803313 0.595557i \(-0.796931\pi\)
0.676264 + 0.736660i \(0.263598\pi\)
\(182\) 10.5287 0.780437
\(183\) −0.0778776 0.239683i −0.00575688 0.0177178i
\(184\) 0.975882 9.28489i 0.0719429 0.684491i
\(185\) −13.1029 14.3303i −0.963347 1.05358i
\(186\) −5.51239 2.45427i −0.404188 0.179956i
\(187\) −2.97123 + 1.32288i −0.217278 + 0.0967384i
\(188\) −1.22387 + 0.544902i −0.0892598 + 0.0397410i
\(189\) 11.2537 8.17626i 0.818583 0.594735i
\(190\) 8.30416 5.10304i 0.602447 0.370213i
\(191\) 17.4039 + 12.6447i 1.25930 + 0.914936i 0.998723 0.0505168i \(-0.0160869\pi\)
0.260578 + 0.965453i \(0.416087\pi\)
\(192\) 0.860860 + 0.182981i 0.0621272 + 0.0132055i
\(193\) −5.66537 + 9.81270i −0.407802 + 0.706334i −0.994643 0.103368i \(-0.967038\pi\)
0.586841 + 0.809702i \(0.300371\pi\)
\(194\) 0.912570 1.01351i 0.0655187 0.0727659i
\(195\) −6.23645 + 2.83400i −0.446601 + 0.202947i
\(196\) −2.10197 + 0.446788i −0.150141 + 0.0319134i
\(197\) −2.74994 + 8.46345i −0.195925 + 0.602996i 0.804039 + 0.594576i \(0.202680\pi\)
−0.999965 + 0.00841986i \(0.997320\pi\)
\(198\) 1.69200 1.22931i 0.120245 0.0873631i
\(199\) 8.16617 + 14.1442i 0.578884 + 1.00266i 0.995608 + 0.0936238i \(0.0298451\pi\)
−0.416723 + 0.909033i \(0.636822\pi\)
\(200\) 0.446509 4.98002i 0.0315729 0.352141i
\(201\) −1.46825 −0.103562
\(202\) −8.82540 + 6.41203i −0.620953 + 0.451149i
\(203\) −24.7664 + 5.26425i −1.73826 + 0.369478i
\(204\) −2.03807 2.26351i −0.142693 0.158477i
\(205\) 16.7665 3.69809i 1.17102 0.258286i
\(206\) 15.4572 + 3.28554i 1.07696 + 0.228914i
\(207\) 10.3884 17.9932i 0.722043 1.25061i
\(208\) 1.07565 + 3.31051i 0.0745829 + 0.229542i
\(209\) 3.92019 + 1.18857i 0.271165 + 0.0822152i
\(210\) 4.78876 3.53552i 0.330456 0.243974i
\(211\) −1.54100 14.6616i −0.106087 1.00935i −0.910002 0.414603i \(-0.863920\pi\)
0.803916 0.594743i \(-0.202746\pi\)
\(212\) 2.99344 1.33276i 0.205590 0.0915347i
\(213\) 0.313611 2.98380i 0.0214882 0.204447i
\(214\) 0.769442 + 7.32075i 0.0525980 + 0.500436i
\(215\) 3.02527 3.41204i 0.206322 0.232699i
\(216\) 3.72056 + 2.70315i 0.253152 + 0.183926i
\(217\) 6.40839 + 19.7230i 0.435030 + 1.33888i
\(218\) −1.82525 3.16143i −0.123622 0.214119i
\(219\) 3.01874 3.35265i 0.203988 0.226551i
\(220\) 1.69058 1.24815i 0.113979 0.0841502i
\(221\) 3.72264 11.4571i 0.250412 0.770688i
\(222\) 7.47556 1.58898i 0.501727 0.106645i
\(223\) −1.17857 11.2134i −0.0789230 0.750902i −0.960391 0.278657i \(-0.910111\pi\)
0.881468 0.472244i \(-0.156556\pi\)
\(224\) −1.51236 2.61948i −0.101049 0.175022i
\(225\) 5.41552 9.72041i 0.361035 0.648028i
\(226\) −5.91779 + 10.2499i −0.393645 + 0.681814i
\(227\) −13.7607 + 9.99770i −0.913327 + 0.663571i −0.941854 0.336022i \(-0.890918\pi\)
0.0285272 + 0.999593i \(0.490918\pi\)
\(228\) 0.0758613 + 3.83548i 0.00502404 + 0.254011i
\(229\) 4.67282 14.3815i 0.308789 0.950354i −0.669448 0.742859i \(-0.733469\pi\)
0.978236 0.207494i \(-0.0665309\pi\)
\(230\) 10.2994 18.1585i 0.679123 1.19733i
\(231\) 2.44706 + 0.520138i 0.161005 + 0.0342226i
\(232\) −4.18545 7.24942i −0.274789 0.475948i
\(233\) −9.72657 2.06745i −0.637209 0.135443i −0.122031 0.992526i \(-0.538941\pi\)
−0.515178 + 0.857083i \(0.672274\pi\)
\(234\) −0.809727 + 7.70403i −0.0529335 + 0.503628i
\(235\) −2.99555 + 0.0229148i −0.195408 + 0.00149480i
\(236\) −7.42151 + 5.39204i −0.483099 + 0.350992i
\(237\) 0.562594 5.35272i 0.0365444 0.347697i
\(238\) −1.09421 + 10.4107i −0.0709269 + 0.674825i
\(239\) 19.2198 13.9640i 1.24323 0.903257i 0.245418 0.969417i \(-0.421075\pi\)
0.997809 + 0.0661602i \(0.0210748\pi\)
\(240\) 1.60090 + 1.14452i 0.103338 + 0.0738783i
\(241\) 0.303590 2.88847i 0.0195560 0.186063i −0.980383 0.197101i \(-0.936847\pi\)
0.999939 + 0.0110388i \(0.00351383\pi\)
\(242\) −9.89573 2.10340i −0.636122 0.135212i
\(243\) 8.05513 + 13.9519i 0.516737 + 0.895015i
\(244\) −0.280096 0.0595362i −0.0179313 0.00381141i
\(245\) −4.70766 0.963066i −0.300761 0.0615280i
\(246\) −2.08825 + 6.42696i −0.133142 + 0.409768i
\(247\) −12.9874 + 7.84475i −0.826370 + 0.499149i
\(248\) −5.54676 + 4.02996i −0.352219 + 0.255902i
\(249\) 1.01434 1.75689i 0.0642813 0.111338i
\(250\) 5.36652 9.80818i 0.339409 0.620324i
\(251\) −6.68145 11.5726i −0.421729 0.730457i 0.574379 0.818589i \(-0.305243\pi\)
−0.996109 + 0.0881326i \(0.971910\pi\)
\(252\) −0.703615 6.69445i −0.0443236 0.421711i
\(253\) 8.58210 1.82418i 0.539552 0.114685i
\(254\) 0.306924 0.944615i 0.0192581 0.0592704i
\(255\) −2.15411 6.46109i −0.134896 0.404609i
\(256\) 0.669131 0.743145i 0.0418207 0.0464466i
\(257\) 14.7147 + 25.4866i 0.917877 + 1.58981i 0.802634 + 0.596472i \(0.203431\pi\)
0.115243 + 0.993337i \(0.463235\pi\)
\(258\) 0.554622 + 1.70695i 0.0345293 + 0.106270i
\(259\) −21.2498 15.4389i −1.32040 0.959324i
\(260\) −0.754358 + 7.74683i −0.0467833 + 0.480438i
\(261\) −1.94725 18.5269i −0.120532 1.14679i
\(262\) −1.02070 + 9.71131i −0.0630591 + 0.599967i
\(263\) 20.8173 9.26847i 1.28365 0.571519i 0.352385 0.935855i \(-0.385371\pi\)
0.931267 + 0.364337i \(0.118704\pi\)
\(264\) 0.0864549 + 0.822563i 0.00532093 + 0.0506253i
\(265\) 7.32677 0.0560469i 0.450080 0.00344293i
\(266\) 9.62158 9.01415i 0.589937 0.552693i
\(267\) −0.431664 1.32852i −0.0264174 0.0813044i
\(268\) −0.834146 + 1.44478i −0.0509536 + 0.0882541i
\(269\) 24.2029 + 5.14449i 1.47568 + 0.313665i 0.874334 0.485324i \(-0.161298\pi\)
0.601345 + 0.798989i \(0.294632\pi\)
\(270\) 5.20966 + 8.86608i 0.317050 + 0.539572i
\(271\) 9.26622 + 10.2912i 0.562883 + 0.625145i 0.955654 0.294491i \(-0.0951503\pi\)
−0.392771 + 0.919636i \(0.628484\pi\)
\(272\) −3.38520 + 0.719546i −0.205258 + 0.0436289i
\(273\) −7.49651 + 5.44654i −0.453710 + 0.329639i
\(274\) −22.1005 −1.33514
\(275\) 4.58074 1.04716i 0.276229 0.0631460i
\(276\) 4.10829 + 7.11576i 0.247290 + 0.428318i
\(277\) −22.4982 + 16.3459i −1.35178 + 0.982128i −0.352863 + 0.935675i \(0.614792\pi\)
−0.998920 + 0.0464535i \(0.985208\pi\)
\(278\) 4.76455 14.6638i 0.285759 0.879475i
\(279\) −14.9246 + 3.17231i −0.893510 + 0.189921i
\(280\) −0.758408 6.72082i −0.0453236 0.401646i
\(281\) 0.697321 0.774453i 0.0415987 0.0462000i −0.721986 0.691907i \(-0.756771\pi\)
0.763585 + 0.645707i \(0.223437\pi\)
\(282\) 0.589526 1.02109i 0.0351058 0.0608050i
\(283\) 3.46473 + 0.736451i 0.205957 + 0.0437775i 0.309735 0.950823i \(-0.399760\pi\)
−0.103778 + 0.994600i \(0.533093\pi\)
\(284\) −2.75794 2.00376i −0.163654 0.118902i
\(285\) −3.27281 + 7.92919i −0.193865 + 0.469685i
\(286\) −2.64650 + 1.92280i −0.156491 + 0.113697i
\(287\) 21.2171 9.44648i 1.25241 0.557608i
\(288\) 2.03304 0.905167i 0.119798 0.0533375i
\(289\) −4.58844 2.04291i −0.269908 0.120171i
\(290\) −2.09889 18.5999i −0.123251 1.09222i
\(291\) −0.125464 + 1.19371i −0.00735481 + 0.0699763i
\(292\) −1.58405 4.87521i −0.0926996 0.285300i
\(293\) 25.8139 1.50806 0.754032 0.656838i \(-0.228106\pi\)
0.754032 + 0.656838i \(0.228106\pi\)
\(294\) 1.26550 1.40548i 0.0738054 0.0819692i
\(295\) −20.0311 + 4.41815i −1.16625 + 0.257235i
\(296\) 2.68345 8.25881i 0.155972 0.480034i
\(297\) −1.33555 + 4.11040i −0.0774964 + 0.238509i
\(298\) 7.06361 + 3.14492i 0.409184 + 0.182180i
\(299\) −16.2488 + 28.1437i −0.939692 + 1.62759i
\(300\) 2.25827 + 3.77681i 0.130381 + 0.218054i
\(301\) 3.08420 5.34199i 0.177770 0.307907i
\(302\) −0.785141 7.47012i −0.0451798 0.429857i
\(303\) 2.96679 9.13085i 0.170438 0.524554i
\(304\) 3.81728 + 2.10437i 0.218936 + 0.120694i
\(305\) −0.520881 0.372388i −0.0298256 0.0213229i
\(306\) −7.53355 1.60131i −0.430665 0.0915406i
\(307\) −1.69356 + 2.93333i −0.0966565 + 0.167414i −0.910299 0.413952i \(-0.864148\pi\)
0.813642 + 0.581366i \(0.197481\pi\)
\(308\) 1.90205 2.11244i 0.108380 0.120368i
\(309\) −12.7053 + 5.65678i −0.722781 + 0.321803i
\(310\) −14.9710 + 3.30208i −0.850297 + 0.187546i
\(311\) −10.8951 + 7.91572i −0.617802 + 0.448859i −0.852153 0.523293i \(-0.824703\pi\)
0.234351 + 0.972152i \(0.424703\pi\)
\(312\) −2.47842 1.80067i −0.140313 0.101943i
\(313\) −0.931304 + 8.86077i −0.0526404 + 0.500840i 0.936158 + 0.351581i \(0.114356\pi\)
−0.988798 + 0.149260i \(0.952311\pi\)
\(314\) 10.2198 + 4.55016i 0.576738 + 0.256780i
\(315\) 4.54160 14.3502i 0.255890 0.808541i
\(316\) −4.94755 3.59460i −0.278321 0.202212i
\(317\) −11.7072 + 13.0022i −0.657542 + 0.730275i −0.976026 0.217654i \(-0.930160\pi\)
0.318484 + 0.947928i \(0.396826\pi\)
\(318\) −1.44191 + 2.49746i −0.0808583 + 0.140051i
\(319\) 5.26393 5.84619i 0.294724 0.327324i
\(320\) 2.03573 0.925090i 0.113801 0.0517141i
\(321\) −4.33491 4.81441i −0.241951 0.268714i
\(322\) 8.72630 26.8568i 0.486298 1.49667i
\(323\) −6.40711 13.6572i −0.356501 0.759905i
\(324\) 2.62889 0.146049
\(325\) −8.47058 + 15.2040i −0.469863 + 0.843366i
\(326\) 1.10759 1.91841i 0.0613439 0.106251i
\(327\) 2.93502 + 1.30676i 0.162307 + 0.0722638i
\(328\) 5.13786 + 5.70617i 0.283691 + 0.315071i
\(329\) −3.96364 + 0.842498i −0.218523 + 0.0464484i
\(330\) −0.558036 + 1.76324i −0.0307189 + 0.0970632i
\(331\) 9.57829 + 29.4790i 0.526471 + 1.62031i 0.761389 + 0.648295i \(0.224518\pi\)
−0.234919 + 0.972015i \(0.575482\pi\)
\(332\) −1.15254 1.99626i −0.0632539 0.109559i
\(333\) 12.9312 14.3615i 0.708623 0.787006i
\(334\) −4.62655 3.36139i −0.253154 0.183927i
\(335\) −3.00111 + 2.21570i −0.163968 + 0.121057i
\(336\) 2.43189 + 1.08275i 0.132670 + 0.0590686i
\(337\) −22.6344 + 10.0775i −1.23297 + 0.548955i −0.916648 0.399696i \(-0.869116\pi\)
−0.316325 + 0.948651i \(0.602449\pi\)
\(338\) −0.0923523 + 0.878673i −0.00502330 + 0.0477935i
\(339\) −1.08881 10.3593i −0.0591361 0.562642i
\(340\) −7.58162 1.55101i −0.411171 0.0841151i
\(341\) −5.21274 3.78728i −0.282286 0.205092i
\(342\) 5.85586 + 7.73355i 0.316649 + 0.418182i
\(343\) 14.6731 0.792274
\(344\) 1.99476 + 0.424000i 0.107550 + 0.0228605i
\(345\) 2.06020 + 18.2569i 0.110917 + 0.982921i
\(346\) 6.59329 1.40145i 0.354458 0.0753423i
\(347\) 15.2553 + 16.9427i 0.818946 + 0.909532i 0.997225 0.0744483i \(-0.0237196\pi\)
−0.178279 + 0.983980i \(0.557053\pi\)
\(348\) 6.73025 + 2.99650i 0.360779 + 0.160629i
\(349\) −7.78442 −0.416691 −0.208345 0.978055i \(-0.566808\pi\)
−0.208345 + 0.978055i \(0.566808\pi\)
\(350\) 4.45286 14.4532i 0.238015 0.772557i
\(351\) −8.00404 13.8634i −0.427224 0.739974i
\(352\) 0.858533 + 0.382243i 0.0457599 + 0.0203736i
\(353\) −3.14911 + 9.69196i −0.167610 + 0.515851i −0.999219 0.0395105i \(-0.987420\pi\)
0.831609 + 0.555362i \(0.187420\pi\)
\(354\) 2.49485 7.67837i 0.132600 0.408101i
\(355\) −3.86177 6.57217i −0.204962 0.348814i
\(356\) −1.55253 0.330000i −0.0822838 0.0174900i
\(357\) −4.60642 7.97855i −0.243797 0.422270i
\(358\) 13.8652 + 2.94714i 0.732799 + 0.155761i
\(359\) 26.7272 11.8997i 1.41061 0.628043i 0.446799 0.894634i \(-0.352564\pi\)
0.963810 + 0.266591i \(0.0858973\pi\)
\(360\) 4.97608 0.0380651i 0.262263 0.00200621i
\(361\) −5.15220 + 18.2881i −0.271168 + 0.962532i
\(362\) −2.06661 1.50148i −0.108619 0.0789160i
\(363\) 8.13396 3.62147i 0.426922 0.190078i
\(364\) 1.10055 + 10.4710i 0.0576843 + 0.548829i
\(365\) 1.11090 11.4083i 0.0581473 0.597140i
\(366\) 0.230229 0.102505i 0.0120343 0.00535800i
\(367\) 8.05288 8.94363i 0.420357 0.466854i −0.495354 0.868691i \(-0.664962\pi\)
0.915711 + 0.401837i \(0.131628\pi\)
\(368\) 9.33604 0.486675
\(369\) 5.28043 + 16.2515i 0.274888 + 0.846019i
\(370\) 12.8822 14.5291i 0.669712 0.755331i
\(371\) 9.69460 2.06065i 0.503318 0.106984i
\(372\) 1.86463 5.73873i 0.0966764 0.297539i
\(373\) 1.44040 1.04651i 0.0745810 0.0541862i −0.549870 0.835250i \(-0.685323\pi\)
0.624451 + 0.781064i \(0.285323\pi\)
\(374\) −1.62621 2.81668i −0.0840893 0.145647i
\(375\) 1.25281 + 9.75965i 0.0646948 + 0.503986i
\(376\) −0.669846 1.16021i −0.0345447 0.0598331i
\(377\) 3.04576 + 28.9785i 0.156865 + 1.49247i
\(378\) 9.30780 + 10.3374i 0.478741 + 0.531696i
\(379\) 8.05016 24.7759i 0.413509 1.27265i −0.500069 0.865986i \(-0.666692\pi\)
0.913578 0.406664i \(-0.133308\pi\)
\(380\) 5.94310 + 7.72525i 0.304875 + 0.396297i
\(381\) 0.270121 + 0.831348i 0.0138387 + 0.0425913i
\(382\) −10.7562 + 18.6303i −0.550335 + 0.953208i
\(383\) −23.8014 5.05914i −1.21619 0.258510i −0.445246 0.895408i \(-0.646884\pi\)
−0.770948 + 0.636898i \(0.780217\pi\)
\(384\) −0.0919947 + 0.875271i −0.00469458 + 0.0446660i
\(385\) 5.78672 2.62964i 0.294919 0.134019i
\(386\) −10.3511 4.60862i −0.526859 0.234573i
\(387\) 3.67164 + 2.66760i 0.186640 + 0.135602i
\(388\) 1.10335 + 0.801630i 0.0560140 + 0.0406966i
\(389\) −20.3815 9.07444i −1.03338 0.460092i −0.181262 0.983435i \(-0.558018\pi\)
−0.852122 + 0.523343i \(0.824685\pi\)
\(390\) −3.47037 5.90605i −0.175729 0.299064i
\(391\) −26.1397 18.9916i −1.32194 0.960446i
\(392\) −0.664056 2.04376i −0.0335399 0.103225i
\(393\) −4.29696 7.44256i −0.216753 0.375427i
\(394\) −8.70454 1.85021i −0.438528 0.0932121i
\(395\) −6.92773 11.7900i −0.348572 0.593218i
\(396\) 1.39944 + 1.55423i 0.0703243 + 0.0781031i
\(397\) −16.1572 17.9444i −0.810908 0.900605i 0.185724 0.982602i \(-0.440537\pi\)
−0.996633 + 0.0819972i \(0.973870\pi\)
\(398\) −13.2131 + 9.59991i −0.662315 + 0.481200i
\(399\) −2.18759 + 11.3955i −0.109517 + 0.570486i
\(400\) 4.99941 0.0764916i 0.249971 0.00382458i
\(401\) 3.07952 5.33388i 0.153784 0.266361i −0.778832 0.627233i \(-0.784187\pi\)
0.932616 + 0.360872i \(0.117521\pi\)
\(402\) −0.153474 1.46021i −0.00765458 0.0728285i
\(403\) 23.3439 4.96191i 1.16284 0.247170i
\(404\) −7.29941 8.10681i −0.363159 0.403329i
\(405\) 5.38829 + 2.34980i 0.267746 + 0.116763i
\(406\) −7.82420 24.0804i −0.388309 1.19509i
\(407\) 8.16090 0.404521
\(408\) 2.03807 2.26351i 0.100899 0.112060i
\(409\) −3.03992 + 28.9229i −0.150315 + 1.43015i 0.616032 + 0.787721i \(0.288739\pi\)
−0.766347 + 0.642427i \(0.777928\pi\)
\(410\) 5.43040 + 16.2881i 0.268189 + 0.804410i
\(411\) 15.7358 11.4327i 0.776190 0.563935i
\(412\) −1.65182 + 15.7160i −0.0813792 + 0.774271i
\(413\) −25.3484 + 11.2858i −1.24731 + 0.555339i
\(414\) 18.9805 + 8.45067i 0.932842 + 0.415328i
\(415\) −0.577969 5.12181i −0.0283714 0.251420i
\(416\) −3.17994 + 1.41580i −0.155909 + 0.0694153i
\(417\) 4.19324 + 12.9055i 0.205344 + 0.631984i
\(418\) −0.772289 + 4.02295i −0.0377739 + 0.196769i
\(419\) 5.80081 + 17.8531i 0.283388 + 0.872180i 0.986877 + 0.161473i \(0.0516245\pi\)
−0.703489 + 0.710706i \(0.748375\pi\)
\(420\) 4.01671 + 4.39296i 0.195995 + 0.214355i
\(421\) −11.8264 13.1345i −0.576383 0.640138i 0.382495 0.923958i \(-0.375065\pi\)
−0.958878 + 0.283820i \(0.908398\pi\)
\(422\) 14.4202 3.06511i 0.701965 0.149207i
\(423\) −0.311641 2.96507i −0.0151525 0.144167i
\(424\) 1.63836 + 2.83773i 0.0795660 + 0.137812i
\(425\) −14.1533 9.95576i −0.686536 0.482925i
\(426\) 3.00024 0.145362
\(427\) −0.791256 0.352290i −0.0382916 0.0170485i
\(428\) −7.20022 + 1.53045i −0.348036 + 0.0739773i
\(429\) 0.889663 2.73810i 0.0429533 0.132197i
\(430\) 3.70957 + 2.65205i 0.178891 + 0.127893i
\(431\) −6.21960 + 6.90757i −0.299588 + 0.332726i −0.874078 0.485785i \(-0.838534\pi\)
0.574490 + 0.818511i \(0.305200\pi\)
\(432\) −2.29943 + 3.98274i −0.110632 + 0.191619i
\(433\) −2.41831 + 2.68581i −0.116217 + 0.129072i −0.798446 0.602067i \(-0.794344\pi\)
0.682229 + 0.731139i \(0.261011\pi\)
\(434\) −18.9451 + 8.43490i −0.909394 + 0.404888i
\(435\) 11.1162 + 12.1575i 0.532983 + 0.582908i
\(436\) 2.95332 2.14572i 0.141439 0.102761i
\(437\) 9.24643 + 39.6305i 0.442317 + 1.89578i
\(438\) 3.64983 + 2.65176i 0.174396 + 0.126706i
\(439\) 1.93790 + 18.4379i 0.0924910 + 0.879993i 0.938141 + 0.346255i \(0.112547\pi\)
−0.845649 + 0.533739i \(0.820787\pi\)
\(440\) 1.41803 + 1.55085i 0.0676017 + 0.0739340i
\(441\) 0.499888 4.75612i 0.0238042 0.226482i
\(442\) 11.7835 + 2.50465i 0.560482 + 0.119134i
\(443\) −7.92620 13.7286i −0.376585 0.652265i 0.613978 0.789323i \(-0.289568\pi\)
−0.990563 + 0.137059i \(0.956235\pi\)
\(444\) 2.36168 + 7.26852i 0.112081 + 0.344948i
\(445\) −2.88717 2.06409i −0.136865 0.0978474i
\(446\) 11.0287 2.34423i 0.522226 0.111003i
\(447\) −6.65624 + 1.41483i −0.314829 + 0.0669190i
\(448\) 2.44705 1.77789i 0.115612 0.0839972i
\(449\) −22.8658 −1.07911 −0.539553 0.841952i \(-0.681407\pi\)
−0.539553 + 0.841952i \(0.681407\pi\)
\(450\) 10.2332 + 4.36980i 0.482400 + 0.205994i
\(451\) −3.60801 + 6.24926i −0.169895 + 0.294266i
\(452\) −10.8123 4.81396i −0.508570 0.226430i
\(453\) 4.42336 + 4.91264i 0.207828 + 0.230816i
\(454\) −11.3813 12.6402i −0.534152 0.593235i
\(455\) −7.10365 + 22.4456i −0.333024 + 1.05226i
\(456\) −3.80654 + 0.476363i −0.178258 + 0.0223077i
\(457\) −27.8665 −1.30354 −0.651770 0.758417i \(-0.725973\pi\)
−0.651770 + 0.758417i \(0.725973\pi\)
\(458\) 14.7911 + 3.14395i 0.691144 + 0.146907i
\(459\) 14.5399 6.47357i 0.678664 0.302161i
\(460\) 19.1356 + 8.34491i 0.892201 + 0.389083i
\(461\) 4.25638 + 40.4967i 0.198239 + 1.88612i 0.414889 + 0.909872i \(0.363820\pi\)
−0.216650 + 0.976249i \(0.569513\pi\)
\(462\) −0.261502 + 2.48802i −0.0121662 + 0.115753i
\(463\) 11.3322 + 8.23332i 0.526652 + 0.382635i 0.819104 0.573645i \(-0.194471\pi\)
−0.292452 + 0.956280i \(0.594471\pi\)
\(464\) 6.77221 4.92030i 0.314392 0.228419i
\(465\) 8.95133 10.0957i 0.415108 0.468177i
\(466\) 1.03942 9.88939i 0.0481501 0.458117i
\(467\) 3.34598 + 10.2979i 0.154834 + 0.476529i 0.998144 0.0608980i \(-0.0193964\pi\)
−0.843310 + 0.537427i \(0.819396\pi\)
\(468\) −7.74647 −0.358081
\(469\) −3.37651 + 3.74999i −0.155913 + 0.173159i
\(470\) −0.335910 2.97675i −0.0154944 0.137307i
\(471\) −9.63043 + 2.04701i −0.443747 + 0.0943213i
\(472\) −6.13826 6.81723i −0.282536 0.313788i
\(473\) 0.200331 + 1.90602i 0.00921123 + 0.0876390i
\(474\) 5.38221 0.247213
\(475\) 5.27613 + 21.1462i 0.242085 + 0.970255i
\(476\) −10.4680 −0.479802
\(477\) 0.762237 + 7.25220i 0.0349005 + 0.332056i
\(478\) 15.8965 + 17.6549i 0.727091 + 0.807516i
\(479\) 4.38723 0.932535i 0.200458 0.0426086i −0.106588 0.994303i \(-0.533993\pi\)
0.307046 + 0.951695i \(0.400659\pi\)
\(480\) −0.970907 + 1.71177i −0.0443157 + 0.0781312i
\(481\) −20.2260 + 22.4633i −0.922227 + 1.02424i
\(482\) 2.90438 0.132291
\(483\) 7.67995 + 23.6365i 0.349450 + 1.07550i
\(484\) 1.05749 10.0614i 0.0480679 0.457336i
\(485\) 1.54495 + 2.62927i 0.0701525 + 0.119389i
\(486\) −13.0335 + 9.46938i −0.591211 + 0.429540i
\(487\) −22.4174 16.2872i −1.01583 0.738043i −0.0504051 0.998729i \(-0.516051\pi\)
−0.965424 + 0.260686i \(0.916051\pi\)
\(488\) 0.0299320 0.284784i 0.00135496 0.0128916i
\(489\) 0.203785 + 1.93889i 0.00921549 + 0.0876795i
\(490\) 0.465706 4.78254i 0.0210384 0.216053i
\(491\) 7.70550 3.43071i 0.347744 0.154826i −0.225430 0.974259i \(-0.572379\pi\)
0.573174 + 0.819434i \(0.305712\pi\)
\(492\) −6.61004 1.40501i −0.298004 0.0633426i
\(493\) −28.9703 −1.30476
\(494\) −9.15933 12.0963i −0.412098 0.544237i
\(495\) 1.47912 + 4.43649i 0.0664814 + 0.199406i
\(496\) −4.58767 5.09513i −0.205993 0.228778i
\(497\) −6.89960 7.66278i −0.309489 0.343723i
\(498\) 1.85329 + 0.825140i 0.0830481 + 0.0369754i
\(499\) −1.06240 + 1.84012i −0.0475593 + 0.0823752i −0.888825 0.458247i \(-0.848478\pi\)
0.841266 + 0.540622i \(0.181811\pi\)
\(500\) 10.3154 + 4.31189i 0.461319 + 0.192834i
\(501\) 5.03301 0.224858
\(502\) 10.8108 7.85451i 0.482510 0.350564i
\(503\) 15.2903 3.25004i 0.681759 0.144912i 0.146002 0.989284i \(-0.453360\pi\)
0.535757 + 0.844372i \(0.320026\pi\)
\(504\) 6.58423 1.39952i 0.293285 0.0623396i
\(505\) −7.71503 23.1406i −0.343314 1.02974i
\(506\) 2.71126 + 8.34441i 0.120530 + 0.370954i
\(507\) −0.388786 0.673398i −0.0172666 0.0299067i
\(508\) 0.971523 + 0.206504i 0.0431044 + 0.00916211i
\(509\) −1.48642 + 14.1424i −0.0658845 + 0.626849i 0.910900 + 0.412627i \(0.135389\pi\)
−0.976785 + 0.214223i \(0.931278\pi\)
\(510\) 6.20053 2.81768i 0.274564 0.124769i
\(511\) −1.62071 15.4201i −0.0716962 0.682144i
\(512\) 0.809017 + 0.587785i 0.0357538 + 0.0259767i
\(513\) −19.1836 5.81633i −0.846979 0.256797i
\(514\) −23.8089 + 17.2981i −1.05016 + 0.762989i
\(515\) −17.4332 + 30.7358i −0.768199 + 1.35438i
\(516\) −1.63963 + 0.730009i −0.0721806 + 0.0321369i
\(517\) 0.842447 0.935632i 0.0370508 0.0411490i
\(518\) 13.1331 22.7472i 0.577034 0.999453i
\(519\) −3.96951 + 4.40859i −0.174242 + 0.193516i
\(520\) −7.78324 + 0.0595387i −0.341318 + 0.00261095i
\(521\) 11.3138 34.8203i 0.495666 1.52550i −0.320250 0.947333i \(-0.603767\pi\)
0.815916 0.578171i \(-0.196233\pi\)
\(522\) 18.2219 3.87317i 0.797549 0.169524i
\(523\) −13.1574 5.85804i −0.575332 0.256154i 0.0983794 0.995149i \(-0.468634\pi\)
−0.673711 + 0.738995i \(0.735301\pi\)
\(524\) −9.76480 −0.426577
\(525\) 4.30624 + 12.5943i 0.187940 + 0.549661i
\(526\) 11.3937 + 19.7345i 0.496789 + 0.860464i
\(527\) 2.48025 + 23.5980i 0.108042 + 1.02795i
\(528\) −0.809020 + 0.171962i −0.0352081 + 0.00748371i
\(529\) 42.9325 + 47.6814i 1.86663 + 2.07310i
\(530\) 0.821596 + 7.28077i 0.0356878 + 0.316257i
\(531\) −6.30859 19.4158i −0.273769 0.842576i
\(532\) 9.97050 + 8.62664i 0.432276 + 0.374012i
\(533\) −8.25928 25.4194i −0.357749 1.10104i
\(534\) 1.27613 0.568168i 0.0552233 0.0245870i
\(535\) −16.1259 3.29894i −0.697183 0.142626i
\(536\) −1.52406 0.678555i −0.0658294 0.0293091i
\(537\) −11.3967 + 5.07415i −0.491805 + 0.218966i
\(538\) −2.58642 + 24.6081i −0.111508 + 1.06093i
\(539\) 1.63383 1.18705i 0.0703741 0.0511297i
\(540\) −8.27295 + 6.10788i −0.356011 + 0.262841i
\(541\) −1.05253 + 10.0142i −0.0452519 + 0.430543i 0.948318 + 0.317322i \(0.102784\pi\)
−0.993570 + 0.113221i \(0.963883\pi\)
\(542\) −9.26622 + 10.2912i −0.398018 + 0.442044i
\(543\) 2.24817 0.0964781
\(544\) −1.06945 3.29144i −0.0458525 0.141119i
\(545\) 7.97120 1.75817i 0.341448 0.0753115i
\(546\) −6.20030 6.88613i −0.265348 0.294699i
\(547\) 25.2306 5.36292i 1.07878 0.229302i 0.365948 0.930635i \(-0.380745\pi\)
0.712833 + 0.701333i \(0.247412\pi\)
\(548\) −2.31014 21.9795i −0.0986841 0.938917i
\(549\) 0.318631 0.551884i 0.0135988 0.0235538i
\(550\) 1.52024 + 4.44619i 0.0648232 + 0.189586i
\(551\) 27.5933 + 23.8742i 1.17552 + 1.01708i
\(552\) −6.64735 + 4.82958i −0.282930 + 0.205561i
\(553\) −12.3774 13.7465i −0.526339 0.584559i
\(554\) −18.6080 20.6663i −0.790579 0.878027i
\(555\) −1.65626 + 17.0089i −0.0703043 + 0.721986i
\(556\) 15.0815 + 3.20567i 0.639597 + 0.135951i
\(557\) 5.98087 + 10.3592i 0.253418 + 0.438932i 0.964465 0.264212i \(-0.0851120\pi\)
−0.711047 + 0.703145i \(0.751779\pi\)
\(558\) −4.71498 14.5112i −0.199601 0.614308i
\(559\) −5.74292 4.17248i −0.242900 0.176477i
\(560\) 6.60473 1.45677i 0.279101 0.0615598i
\(561\) 2.61496 + 1.16425i 0.110404 + 0.0491549i
\(562\) 0.843101 + 0.612549i 0.0355641 + 0.0258388i
\(563\) −18.8979 13.7301i −0.796451 0.578655i 0.113420 0.993547i \(-0.463819\pi\)
−0.909871 + 0.414892i \(0.863819\pi\)
\(564\) 1.07712 + 0.479564i 0.0453548 + 0.0201933i
\(565\) −17.8586 19.5314i −0.751316 0.821693i
\(566\) −0.370254 + 3.52273i −0.0155629 + 0.148071i
\(567\) 7.77788 + 1.65324i 0.326640 + 0.0694296i
\(568\) 1.70450 2.95229i 0.0715194 0.123875i
\(569\) 8.48333 + 26.1090i 0.355640 + 1.09455i 0.955638 + 0.294545i \(0.0951680\pi\)
−0.599998 + 0.800001i \(0.704832\pi\)
\(570\) −8.22786 2.42606i −0.344627 0.101616i
\(571\) 1.14984 3.53883i 0.0481191 0.148095i −0.924110 0.382127i \(-0.875192\pi\)
0.972229 + 0.234031i \(0.0751918\pi\)
\(572\) −2.18890 2.43102i −0.0915225 0.101646i
\(573\) −1.97903 18.8292i −0.0826750 0.786600i
\(574\) 11.6125 + 20.1135i 0.484697 + 0.839520i
\(575\) 31.7622 + 34.2082i 1.32457 + 1.42658i
\(576\) 1.11272 + 1.92729i 0.0463633 + 0.0803036i
\(577\) 20.7368 15.0661i 0.863282 0.627211i −0.0654935 0.997853i \(-0.520862\pi\)
0.928776 + 0.370642i \(0.120862\pi\)
\(578\) 1.55209 4.77685i 0.0645585 0.198691i
\(579\) 9.75417 2.07331i 0.405370 0.0861640i
\(580\) 18.2786 4.03161i 0.758977 0.167404i
\(581\) −2.15454 6.63098i −0.0893852 0.275099i
\(582\) −1.20028 −0.0497533
\(583\) −2.06052 + 2.28844i −0.0853382 + 0.0947777i
\(584\) 4.68292 2.08497i 0.193781 0.0862767i
\(585\) −15.8775 6.92409i −0.656455 0.286276i
\(586\) 2.69829 + 25.6725i 0.111465 + 1.06052i
\(587\) 3.91517 1.74315i 0.161596 0.0719474i −0.324344 0.945939i \(-0.605144\pi\)
0.485941 + 0.873992i \(0.338477\pi\)
\(588\) 1.53006 + 1.11165i 0.0630986 + 0.0458438i
\(589\) 17.0846 24.5204i 0.703960 1.01035i
\(590\) −6.48777 19.4595i −0.267097 0.801136i
\(591\) 7.15483 3.18554i 0.294311 0.131036i
\(592\) 8.49407 + 1.80547i 0.349104 + 0.0742043i
\(593\) 12.3918 + 21.4632i 0.508871 + 0.881390i 0.999947 + 0.0102734i \(0.00327017\pi\)
−0.491077 + 0.871116i \(0.663396\pi\)
\(594\) −4.22748 0.898579i −0.173456 0.0368692i
\(595\) −21.4558 9.35673i −0.879601 0.383589i
\(596\) −2.38934 + 7.35365i −0.0978714 + 0.301217i
\(597\) 4.44180 13.6705i 0.181791 0.559494i
\(598\) −29.6880 13.2180i −1.21403 0.540522i
\(599\) 19.5355 + 33.8365i 0.798199 + 1.38252i 0.920788 + 0.390064i \(0.127547\pi\)
−0.122589 + 0.992458i \(0.539120\pi\)
\(600\) −3.52006 + 2.64069i −0.143706 + 0.107806i
\(601\) 29.0479 1.18489 0.592444 0.805612i \(-0.298163\pi\)
0.592444 + 0.805612i \(0.298163\pi\)
\(602\) 5.63511 + 2.50891i 0.229670 + 0.102256i
\(603\) −2.48427 2.75906i −0.101167 0.112358i
\(604\) 7.34713 1.56168i 0.298950 0.0635439i
\(605\) 11.1607 19.6771i 0.453749 0.799987i
\(606\) 9.39094 + 1.99611i 0.381481 + 0.0810863i
\(607\) −47.4562 −1.92619 −0.963094 0.269167i \(-0.913252\pi\)
−0.963094 + 0.269167i \(0.913252\pi\)
\(608\) −1.69383 + 4.01633i −0.0686940 + 0.162884i
\(609\) 18.0278 + 13.0980i 0.730525 + 0.530757i
\(610\) 0.315901 0.556953i 0.0127905 0.0225504i
\(611\) 0.487447 + 4.63775i 0.0197200 + 0.187623i
\(612\) 0.805063 7.65966i 0.0325428 0.309624i
\(613\) 21.0783 9.38467i 0.851345 0.379043i 0.0657888 0.997834i \(-0.479044\pi\)
0.785556 + 0.618790i \(0.212377\pi\)
\(614\) −3.09429 1.37766i −0.124875 0.0555980i
\(615\) −12.2924 8.78807i −0.495677 0.354369i
\(616\) 2.29969 + 1.67082i 0.0926572 + 0.0673194i
\(617\) 23.0657 25.6170i 0.928589 1.03130i −0.0708391 0.997488i \(-0.522568\pi\)
0.999428 0.0338148i \(-0.0107656\pi\)
\(618\) −6.95386 12.0444i −0.279725 0.484498i
\(619\) 11.1045 + 34.1761i 0.446327 + 1.37365i 0.881022 + 0.473075i \(0.156856\pi\)
−0.434695 + 0.900578i \(0.643144\pi\)
\(620\) −4.84889 14.5439i −0.194736 0.584095i
\(621\) −41.9970 + 8.92673i −1.68528 + 0.358217i
\(622\) −9.01120 10.0080i −0.361316 0.401282i
\(623\) −4.38582 1.95269i −0.175714 0.0782329i
\(624\) 1.53175 2.65306i 0.0613189 0.106207i
\(625\) 17.2888 + 18.0582i 0.691552 + 0.722326i
\(626\) −8.90957 −0.356098
\(627\) −1.53122 3.26389i −0.0611509 0.130347i
\(628\) −3.45697 + 10.6395i −0.137948 + 0.424561i
\(629\) −20.1095 22.3339i −0.801820 0.890511i
\(630\) 14.7463 + 3.01671i 0.587506 + 0.120189i
\(631\) −10.1092 + 11.2275i −0.402443 + 0.446958i −0.909968 0.414679i \(-0.863894\pi\)
0.507525 + 0.861637i \(0.330560\pi\)
\(632\) 3.05775 5.29618i 0.121631 0.210671i
\(633\) −8.68173 + 9.64203i −0.345068 + 0.383236i
\(634\) −14.1547 10.2840i −0.562154 0.408429i
\(635\) 1.80670 + 1.29164i 0.0716966 + 0.0512573i
\(636\) −2.63450 1.17296i −0.104465 0.0465107i
\(637\) −0.781890 + 7.43918i −0.0309796 + 0.294751i
\(638\) 6.36439 + 4.62400i 0.251969 + 0.183066i
\(639\) 6.13763 4.45925i 0.242801 0.176405i
\(640\) 1.13281 + 1.92788i 0.0447784 + 0.0762063i
\(641\) −31.6593 + 14.0956i −1.25047 + 0.556744i −0.921787 0.387696i \(-0.873271\pi\)
−0.328681 + 0.944441i \(0.606604\pi\)
\(642\) 4.33491 4.81441i 0.171085 0.190009i
\(643\) 22.3407 38.6952i 0.881031 1.52599i 0.0308357 0.999524i \(-0.490183\pi\)
0.850196 0.526467i \(-0.176484\pi\)
\(644\) 27.6218 + 5.87120i 1.08845 + 0.231358i
\(645\) −4.01317 + 0.0306991i −0.158018 + 0.00120878i
\(646\) 12.9126 7.79957i 0.508040 0.306870i
\(647\) 12.0667 37.1374i 0.474390 1.46002i −0.372389 0.928077i \(-0.621461\pi\)
0.846779 0.531945i \(-0.178539\pi\)
\(648\) 0.274794 + 2.61449i 0.0107949 + 0.102707i
\(649\) 4.31053 7.46606i 0.169203 0.293069i
\(650\) −16.0061 6.83493i −0.627812 0.268088i
\(651\) 9.12567 15.8061i 0.357663 0.619491i
\(652\) 2.02367 + 0.900997i 0.0792531 + 0.0352858i
\(653\) 8.73470 26.8827i 0.341815 1.05200i −0.621451 0.783453i \(-0.713457\pi\)
0.963267 0.268547i \(-0.0865434\pi\)
\(654\) −0.992805 + 3.05554i −0.0388218 + 0.119481i
\(655\) −20.0144 8.72816i −0.782027 0.341037i
\(656\) −5.13786 + 5.70617i −0.200600 + 0.222789i
\(657\) 11.4078 0.445061
\(658\) −1.25220 3.85386i −0.0488157 0.150239i
\(659\) 3.27300 31.1405i 0.127498 1.21306i −0.724410 0.689369i \(-0.757888\pi\)
0.851908 0.523692i \(-0.175446\pi\)
\(660\) −1.81191 0.370671i −0.0705286 0.0144283i
\(661\) −30.7539 13.6925i −1.19619 0.532577i −0.290645 0.956831i \(-0.593870\pi\)
−0.905543 + 0.424254i \(0.860536\pi\)
\(662\) −28.3163 + 12.6072i −1.10054 + 0.489993i
\(663\) −9.68560 + 4.31231i −0.376158 + 0.167476i
\(664\) 1.86485 1.35489i 0.0723702 0.0525800i
\(665\) 12.7252 + 26.5936i 0.493461 + 1.03125i
\(666\) 15.6345 + 11.3591i 0.605825 + 0.440158i
\(667\) 76.4433 + 16.2485i 2.95990 + 0.629146i
\(668\) 2.85937 4.95257i 0.110632 0.191621i
\(669\) −6.63988 + 7.37434i −0.256713 + 0.285108i
\(670\) −2.51727 2.75306i −0.0972505 0.106360i
\(671\) 0.263229 0.0559510i 0.0101618 0.00215996i
\(672\) −0.822613 + 2.53174i −0.0317330 + 0.0976641i
\(673\) −32.7177 + 23.7708i −1.26117 + 0.916297i −0.998815 0.0486730i \(-0.984501\pi\)
−0.262360 + 0.964970i \(0.584501\pi\)
\(674\) −12.3882 21.4570i −0.477176 0.826493i
\(675\) −22.4161 + 5.12432i −0.862795 + 0.197235i
\(676\) −0.883513 −0.0339813
\(677\) 13.0100 9.45232i 0.500015 0.363282i −0.309008 0.951060i \(-0.599997\pi\)
0.809023 + 0.587777i \(0.199997\pi\)
\(678\) 10.1888 2.16569i 0.391298 0.0831729i
\(679\) 2.76027 + 3.06559i 0.105929 + 0.117646i
\(680\) 0.750013 7.70221i 0.0287617 0.295366i
\(681\) 14.6425 + 3.11235i 0.561100 + 0.119266i
\(682\) 3.22165 5.58006i 0.123363 0.213672i
\(683\) −3.39088 10.4361i −0.129748 0.399324i 0.864988 0.501793i \(-0.167326\pi\)
−0.994736 + 0.102468i \(0.967326\pi\)
\(684\) −7.07908 + 6.63216i −0.270675 + 0.253587i
\(685\) 14.9111 47.1151i 0.569725 1.80017i
\(686\) 1.53376 + 14.5927i 0.0585592 + 0.557154i
\(687\) −12.1578 + 5.41300i −0.463849 + 0.206519i
\(688\) −0.213168 + 2.02816i −0.00812694 + 0.0773227i
\(689\) −1.19224 11.3434i −0.0454207 0.432149i
\(690\) −17.9416 + 3.95728i −0.683024 + 0.150651i
\(691\) −16.9641 12.3252i −0.645346 0.468871i 0.216337 0.976319i \(-0.430589\pi\)
−0.861683 + 0.507448i \(0.830589\pi\)
\(692\) 2.08296 + 6.41068i 0.0791822 + 0.243698i
\(693\) 3.16299 + 5.47845i 0.120152 + 0.208109i
\(694\) −15.2553 + 16.9427i −0.579082 + 0.643136i
\(695\) 28.0464 + 20.0509i 1.06386 + 0.760574i
\(696\) −2.27658 + 7.00660i −0.0862936 + 0.265584i
\(697\) 25.9930 5.52497i 0.984554 0.209273i
\(698\) −0.813694 7.74178i −0.0307988 0.293031i
\(699\) 4.37576 + 7.57904i 0.165506 + 0.286665i
\(700\) 14.8395 + 2.91770i 0.560880 + 0.110279i
\(701\) 15.6626 27.1285i 0.591569 1.02463i −0.402452 0.915441i \(-0.631842\pi\)
0.994021 0.109187i \(-0.0348247\pi\)
\(702\) 12.9508 9.40931i 0.488797 0.355132i
\(703\) 0.748520 + 37.8445i 0.0282310 + 1.42733i
\(704\) −0.290408 + 0.893785i −0.0109452 + 0.0336858i
\(705\) 1.77906 + 1.94571i 0.0670032 + 0.0732795i
\(706\) −9.96804 2.11877i −0.375152 0.0797410i
\(707\) −16.4980 28.5754i −0.620472 1.07469i
\(708\) 7.89709 + 1.67858i 0.296791 + 0.0630848i
\(709\) −4.79521 + 45.6233i −0.180088 + 1.71342i 0.415051 + 0.909798i \(0.363764\pi\)
−0.595139 + 0.803623i \(0.702903\pi\)
\(710\) 6.13250 4.52760i 0.230149 0.169918i
\(711\) 11.0105 7.99957i 0.412925 0.300007i
\(712\) 0.165909 1.57852i 0.00621770 0.0591574i
\(713\) 6.69081 63.6588i 0.250573 2.38404i
\(714\) 7.45334 5.41517i 0.278934 0.202658i
\(715\) −2.31353 6.93926i −0.0865213 0.259513i
\(716\) −1.48169 + 14.0973i −0.0553733 + 0.526841i
\(717\) −20.4515 4.34709i −0.763774 0.162345i
\(718\) 14.6283 + 25.3369i 0.545923 + 0.945566i
\(719\) 35.4006 + 7.52463i 1.32022 + 0.280621i 0.813538 0.581512i \(-0.197539\pi\)
0.506682 + 0.862133i \(0.330872\pi\)
\(720\) 0.557999 + 4.94485i 0.0207954 + 0.184284i
\(721\) −14.7705 + 45.4589i −0.550082 + 1.69298i
\(722\) −18.7265 3.21235i −0.696927 0.119551i
\(723\) −2.06795 + 1.50245i −0.0769077 + 0.0558767i
\(724\) 1.27723 2.21223i 0.0474680 0.0822171i
\(725\) 41.0683 + 8.07472i 1.52524 + 0.299888i
\(726\) 4.45186 + 7.71085i 0.165224 + 0.286177i
\(727\) 1.22085 + 11.6156i 0.0452788 + 0.430799i 0.993555 + 0.113352i \(0.0361589\pi\)
−0.948276 + 0.317447i \(0.897174\pi\)
\(728\) −10.2986 + 2.18903i −0.381691 + 0.0811310i
\(729\) 1.94429 5.98391i 0.0720108 0.221626i
\(730\) 11.4620 0.0876795i 0.424226 0.00324516i
\(731\) 4.72256 5.24494i 0.174670 0.193991i
\(732\) 0.126009 + 0.218253i 0.00465741 + 0.00806687i
\(733\) −3.33672 10.2694i −0.123244 0.379307i 0.870333 0.492464i \(-0.163904\pi\)
−0.993577 + 0.113157i \(0.963904\pi\)
\(734\) 9.73639 + 7.07390i 0.359377 + 0.261103i
\(735\) 2.14244 + 3.64612i 0.0790252 + 0.134489i
\(736\) 0.975882 + 9.28489i 0.0359715 + 0.342246i
\(737\) 0.163883 1.55924i 0.00603670 0.0574353i
\(738\) −15.6105 + 6.95025i −0.574631 + 0.255842i
\(739\) −3.71740 35.3687i −0.136747 1.30106i −0.820628 0.571463i \(-0.806376\pi\)
0.683881 0.729594i \(-0.260291\pi\)
\(740\) 15.7960 + 11.2929i 0.580674 + 0.415135i
\(741\) 12.7790 + 3.87449i 0.469448 + 0.142333i
\(742\) 3.06272 + 9.42609i 0.112436 + 0.346043i
\(743\) −17.6234 + 30.5246i −0.646540 + 1.11984i 0.337403 + 0.941360i \(0.390451\pi\)
−0.983943 + 0.178480i \(0.942882\pi\)
\(744\) 5.90220 + 1.25455i 0.216385 + 0.0459941i
\(745\) −11.4703 + 12.9367i −0.420239 + 0.473964i
\(746\) 1.19134 + 1.32312i 0.0436181 + 0.0484428i
\(747\) 5.01772 1.06655i 0.183589 0.0390230i
\(748\) 2.63126 1.91172i 0.0962085 0.0698996i
\(749\) −22.2652 −0.813552
\(750\) −9.57523 + 2.26611i −0.349638 + 0.0827466i
\(751\) −10.0991 17.4921i −0.368521 0.638297i 0.620814 0.783958i \(-0.286802\pi\)
−0.989335 + 0.145661i \(0.953469\pi\)
\(752\) 1.08383 0.787451i 0.0395233 0.0287154i
\(753\) −3.63422 + 11.1850i −0.132438 + 0.407603i
\(754\) −28.5013 + 6.05815i −1.03796 + 0.220625i
\(755\) 16.4549 + 3.36625i 0.598855 + 0.122510i
\(756\) −9.30780 + 10.3374i −0.338521 + 0.375966i
\(757\) 22.0169 38.1345i 0.800219 1.38602i −0.119253 0.992864i \(-0.538050\pi\)
0.919472 0.393156i \(-0.128617\pi\)
\(758\) 25.4816 + 5.41628i 0.925533 + 0.196728i
\(759\) −6.24705 4.53875i −0.226754 0.164746i
\(760\) −7.06171 + 6.71805i −0.256155 + 0.243689i
\(761\) 15.5618 11.3063i 0.564114 0.409853i −0.268848 0.963183i \(-0.586643\pi\)
0.832962 + 0.553330i \(0.186643\pi\)
\(762\) −0.798559 + 0.355541i −0.0289287 + 0.0128799i
\(763\) 10.0872 4.49109i 0.365180 0.162588i
\(764\) −19.6525 8.74988i −0.711004 0.316559i
\(765\) 8.49660 14.9800i 0.307195 0.541603i
\(766\) 2.54351 24.1998i 0.0919006 0.874376i
\(767\) 9.86745 + 30.3689i 0.356293 + 1.09656i
\(768\) −0.880092 −0.0317576
\(769\) −26.5094 + 29.4416i −0.955952 + 1.06169i 0.0420883 + 0.999114i \(0.486599\pi\)
−0.998040 + 0.0625781i \(0.980068\pi\)
\(770\) 3.22011 + 5.48015i 0.116045 + 0.197491i
\(771\) 8.00371 24.6329i 0.288247 0.887132i
\(772\) 3.50139 10.7762i 0.126018 0.387843i
\(773\) 16.9204 + 7.53344i 0.608584 + 0.270959i 0.687802 0.725898i \(-0.258576\pi\)
−0.0792183 + 0.996857i \(0.525242\pi\)
\(774\) −2.26920 + 3.93037i −0.0815646 + 0.141274i
\(775\) 3.06134 34.1439i 0.109967 1.22648i
\(776\) −0.681907 + 1.18110i −0.0244790 + 0.0423989i
\(777\) 2.41635 + 22.9900i 0.0866859 + 0.824762i
\(778\) 6.89428 21.2184i 0.247172 0.760717i
\(779\) −29.3106 16.1583i −1.05016 0.578930i
\(780\) 5.51094 4.06870i 0.197323 0.145683i
\(781\) 3.13371 + 0.666091i 0.112133 + 0.0238346i
\(782\) 16.1552 27.9816i 0.577709 1.00062i
\(783\) −25.7593 + 28.6086i −0.920563 + 1.02239i
\(784\) 1.96315 0.874049i 0.0701124 0.0312160i
\(785\) −16.5955 + 18.7172i −0.592320 + 0.668044i
\(786\) 6.95263 5.05138i 0.247992 0.180177i
\(787\) −36.9567 26.8506i −1.31736 0.957120i −0.999961 0.00882863i \(-0.997190\pi\)
−0.317401 0.948291i \(-0.602810\pi\)
\(788\) 0.930199 8.85025i 0.0331370 0.315277i
\(789\) −18.3212 8.15711i −0.652251 0.290401i
\(790\) 11.0012 8.12217i 0.391407 0.288974i
\(791\) −28.9623 21.0423i −1.02978 0.748178i
\(792\) −1.39944 + 1.55423i −0.0497268 + 0.0552272i
\(793\) −0.498380 + 0.863219i −0.0176980 + 0.0306538i
\(794\) 16.1572 17.9444i 0.573399 0.636824i
\(795\) −4.35137 4.75896i −0.154327 0.168783i
\(796\) −10.9285 12.1373i −0.387349 0.430195i
\(797\) 11.7335 36.1120i 0.415622 1.27915i −0.496071 0.868282i \(-0.665224\pi\)
0.911693 0.410872i \(-0.134776\pi\)
\(798\) −11.5617 0.984460i −0.409280 0.0348495i
\(799\) −4.63644 −0.164025
\(800\) 0.598654 + 4.96403i 0.0211656 + 0.175505i
\(801\) 1.76612 3.05901i 0.0624028 0.108085i
\(802\) 5.62656 + 2.50511i 0.198681 + 0.0884584i
\(803\) 3.22348 + 3.58003i 0.113754 + 0.126337i
\(804\) 1.43617 0.305266i 0.0506496 0.0107659i
\(805\) 51.3671 + 36.7233i 1.81045 + 1.29433i
\(806\) 7.37483 + 22.6974i 0.259767 + 0.799482i
\(807\) −10.8883 18.8592i −0.383288 0.663874i
\(808\) 7.29941 8.10681i 0.256792 0.285197i
\(809\) −43.4876 31.5956i −1.52894 1.11084i −0.956822 0.290673i \(-0.906121\pi\)
−0.572121 0.820169i \(-0.693879\pi\)
\(810\) −1.77370 + 5.60439i −0.0623214 + 0.196918i
\(811\) 18.2930 + 8.14455i 0.642353 + 0.285994i 0.701947 0.712229i \(-0.252314\pi\)
−0.0595947 + 0.998223i \(0.518981\pi\)
\(812\) 23.1307 10.2984i 0.811727 0.361404i
\(813\) 1.27396 12.1209i 0.0446796 0.425098i
\(814\) 0.853046 + 8.11619i 0.0298992 + 0.284472i
\(815\) 3.34247 + 3.65556i 0.117082 + 0.128049i
\(816\) 2.46414 + 1.79030i 0.0862622 + 0.0626732i
\(817\) −8.82042 + 1.10382i −0.308587 + 0.0386176i
\(818\) −29.0823 −1.01684
\(819\) −22.9189 4.87156i −0.800851 0.170226i
\(820\) −15.6312 + 7.10322i −0.545865 + 0.248055i
\(821\) 4.06816 0.864713i 0.141980 0.0301787i −0.136374 0.990657i \(-0.543545\pi\)
0.278353 + 0.960479i \(0.410211\pi\)
\(822\) 13.0149 + 14.4546i 0.453948 + 0.504160i
\(823\) 34.5116 + 15.3656i 1.20300 + 0.535610i 0.907629 0.419773i \(-0.137890\pi\)
0.295370 + 0.955383i \(0.404557\pi\)
\(824\) −15.8026 −0.550508
\(825\) −3.38246 2.37930i −0.117762 0.0828366i
\(826\) −13.8736 24.0298i −0.482725 0.836104i
\(827\) −32.3279 14.3933i −1.12415 0.500505i −0.241438 0.970416i \(-0.577619\pi\)
−0.882713 + 0.469912i \(0.844286\pi\)
\(828\) −6.42038 + 19.7599i −0.223123 + 0.686703i
\(829\) −3.78382 + 11.6454i −0.131418 + 0.404462i −0.995016 0.0997193i \(-0.968206\pi\)
0.863598 + 0.504181i \(0.168206\pi\)
\(830\) 5.03334 1.11018i 0.174710 0.0385348i
\(831\) 23.9399 + 5.08858i 0.830465 + 0.176521i
\(832\) −1.74044 3.01453i −0.0603388 0.104510i
\(833\) −7.27456 1.54626i −0.252049 0.0535746i
\(834\) −12.3965 + 5.51926i −0.429255 + 0.191116i
\(835\) 10.2875 7.59520i 0.356013 0.262843i
\(836\) −4.08164 0.347545i −0.141167 0.0120201i
\(837\) 25.5088 + 18.5332i 0.881713 + 0.640602i
\(838\) −17.1489 + 7.63519i −0.592400 + 0.263753i
\(839\) −2.63583 25.0783i −0.0909990 0.865798i −0.940861 0.338793i \(-0.889981\pi\)
0.849862 0.527005i \(-0.176685\pi\)
\(840\) −3.94904 + 4.45390i −0.136255 + 0.153674i
\(841\) 37.5213 16.7055i 1.29384 0.576053i
\(842\) 11.8264 13.1345i 0.407564 0.452646i
\(843\) −0.917170 −0.0315890
\(844\) 4.55564 + 14.0208i 0.156812 + 0.482616i
\(845\) −1.81089 0.789718i −0.0622965 0.0271671i
\(846\) 2.91625 0.619868i 0.100263 0.0213115i
\(847\) 9.45608 29.1028i 0.324915 0.999985i
\(848\) −2.65093 + 1.92601i −0.0910332 + 0.0661395i
\(849\) −1.55870 2.69975i −0.0534945 0.0926552i
\(850\) 8.42180 15.1164i 0.288865 0.518489i
\(851\) 40.5363 + 70.2109i 1.38957 + 2.40680i
\(852\) 0.313611 + 2.98380i 0.0107441 + 0.102223i
\(853\) −20.8254 23.1290i −0.713049 0.791922i 0.272347 0.962199i \(-0.412200\pi\)
−0.985396 + 0.170278i \(0.945534\pi\)
\(854\) 0.267651 0.823746i 0.00915884 0.0281880i
\(855\) −20.4377 + 7.26603i −0.698954 + 0.248493i
\(856\) −2.27470 7.00080i −0.0777475 0.239282i
\(857\) −8.81777 + 15.2728i −0.301209 + 0.521710i −0.976410 0.215924i \(-0.930724\pi\)
0.675201 + 0.737634i \(0.264057\pi\)
\(858\) 2.81610 + 0.598580i 0.0961400 + 0.0204352i
\(859\) −2.36828 + 22.5327i −0.0808047 + 0.768805i 0.876826 + 0.480807i \(0.159656\pi\)
−0.957631 + 0.287998i \(0.907010\pi\)
\(860\) −2.24976 + 3.96646i −0.0767162 + 0.135255i
\(861\) −18.6730 8.31377i −0.636375 0.283333i
\(862\) −7.51986 5.46350i −0.256127 0.186087i
\(863\) 19.7950 + 14.3819i 0.673829 + 0.489566i 0.871305 0.490742i \(-0.163274\pi\)
−0.197476 + 0.980308i \(0.563274\pi\)
\(864\) −4.20127 1.87053i −0.142930 0.0636366i
\(865\) −1.46079 + 15.0015i −0.0496683 + 0.510065i
\(866\) −2.92388 2.12432i −0.0993574 0.0721874i
\(867\) 1.36598 + 4.20406i 0.0463912 + 0.142778i
\(868\) −10.3690 17.9596i −0.351947 0.609590i
\(869\) 5.62165 + 1.19492i 0.190701 + 0.0405348i
\(870\) −10.9290 + 12.3262i −0.370526 + 0.417896i
\(871\) 3.88572 + 4.31553i 0.131662 + 0.146226i
\(872\) 2.44267 + 2.71286i 0.0827192 + 0.0918689i
\(873\) −2.45543 + 1.78398i −0.0831038 + 0.0603785i
\(874\) −38.4468 + 13.3383i −1.30048 + 0.451174i
\(875\) 27.8078 + 19.2443i 0.940074 + 0.650578i
\(876\) −2.25572 + 3.90702i −0.0762137 + 0.132006i
\(877\) 1.01750 + 9.68082i 0.0343584 + 0.326898i 0.998178 + 0.0603419i \(0.0192191\pi\)
−0.963819 + 0.266556i \(0.914114\pi\)
\(878\) −18.1343 + 3.85457i −0.612004 + 0.130086i
\(879\) −15.2017 16.8832i −0.512741 0.569457i
\(880\) −1.39413 + 1.57237i −0.0469962 + 0.0530044i
\(881\) −16.9460 52.1545i −0.570926 1.75713i −0.649652 0.760232i \(-0.725085\pi\)
0.0787260 0.996896i \(-0.474915\pi\)
\(882\) 4.78231 0.161029
\(883\) 15.8358 17.5874i 0.532916 0.591863i −0.415223 0.909720i \(-0.636296\pi\)
0.948139 + 0.317856i \(0.102963\pi\)
\(884\) −1.25922 + 11.9807i −0.0423523 + 0.402955i
\(885\) 14.6859 + 10.4992i 0.493660 + 0.352927i
\(886\) 12.8249 9.31781i 0.430860 0.313038i
\(887\) −1.67777 + 15.9630i −0.0563342 + 0.535984i 0.929567 + 0.368654i \(0.120181\pi\)
−0.985901 + 0.167330i \(0.946485\pi\)
\(888\) −6.98183 + 3.10851i −0.234295 + 0.104315i
\(889\) 2.74450 + 1.22193i 0.0920477 + 0.0409823i
\(890\) 1.75099 3.08711i 0.0586934 0.103480i
\(891\) −2.25699 + 1.00487i −0.0756119 + 0.0336646i
\(892\) 3.48420 + 10.7233i 0.116660 + 0.359042i
\(893\) 4.41607 + 3.82086i 0.147778 + 0.127860i
\(894\) −2.10284 6.47189i −0.0703296 0.216452i
\(895\) −15.6377 + 27.5701i −0.522709 + 0.921568i
\(896\) 2.02393 + 2.24781i 0.0676148 + 0.0750939i
\(897\) 27.9759 5.94645i 0.934087 0.198546i
\(898\) −2.39013 22.7406i −0.0797597 0.758863i
\(899\) −28.6962 49.7033i −0.957072 1.65770i
\(900\) −3.27619 + 10.6340i −0.109206 + 0.354465i
\(901\) 11.3402 0.377796
\(902\) −6.59217 2.93502i −0.219495 0.0977256i
\(903\) −5.31012 + 1.12870i −0.176710 + 0.0375608i
\(904\) 3.65739 11.2563i 0.121643 0.374379i
\(905\) 4.59526 3.39266i 0.152752 0.112776i
\(906\) −4.42336 + 4.91264i −0.146956 + 0.163211i
\(907\) −17.3965 + 30.1316i −0.577642 + 1.00050i 0.418107 + 0.908398i \(0.362694\pi\)
−0.995749 + 0.0921072i \(0.970640\pi\)
\(908\) 11.3813 12.6402i 0.377702 0.419481i
\(909\) 22.1780 9.87428i 0.735598 0.327509i
\(910\) −23.0651 4.71853i −0.764601 0.156418i
\(911\) 41.4322 30.1022i 1.37271 0.997332i 0.375190 0.926948i \(-0.377578\pi\)
0.997520 0.0703838i \(-0.0224224\pi\)
\(912\) −0.871645 3.73590i −0.0288631 0.123708i
\(913\) 1.75255 + 1.27330i 0.0580010 + 0.0421402i
\(914\) −2.91284 27.7139i −0.0963483 0.916693i
\(915\) 0.0631900 + 0.559973i 0.00208900 + 0.0185121i
\(916\) −1.58063 + 15.0387i −0.0522256 + 0.496893i
\(917\) −28.8904 6.14084i −0.954044 0.202788i
\(918\) 7.95794 + 13.7836i 0.262651 + 0.454925i
\(919\) 6.80124 + 20.9321i 0.224352 + 0.690485i 0.998357 + 0.0573051i \(0.0182508\pi\)
−0.774004 + 0.633180i \(0.781749\pi\)
\(920\) −6.29898 + 19.9030i −0.207671 + 0.656184i
\(921\) 2.91583 0.619780i 0.0960800 0.0204224i
\(922\) −39.8300 + 8.46612i −1.31173 + 0.278817i
\(923\) −9.60006 + 6.97485i −0.315990 + 0.229580i
\(924\) −2.50173 −0.0823008
\(925\) 22.2823 + 37.2656i 0.732637 + 1.22528i
\(926\) −7.00368 + 12.1307i −0.230155 + 0.398640i
\(927\) −32.1272 14.3040i −1.05520 0.469804i
\(928\) 5.60123 + 6.22080i 0.183869 + 0.204208i
\(929\) 16.7624 + 18.6165i 0.549956 + 0.610788i 0.952473 0.304625i \(-0.0985310\pi\)
−0.402516 + 0.915413i \(0.631864\pi\)
\(930\) 10.9761 + 7.84700i 0.359919 + 0.257313i
\(931\) 5.65455 + 7.46768i 0.185320 + 0.244743i
\(932\) 9.94386 0.325722
\(933\) 11.5932 + 2.46422i 0.379545 + 0.0806748i
\(934\) −9.89171 + 4.40407i −0.323667 + 0.144106i
\(935\) 7.10193 1.56644i 0.232258 0.0512280i
\(936\) −0.809727 7.70403i −0.0264667 0.251814i
\(937\) 5.02964 47.8538i 0.164311 1.56332i −0.532731 0.846285i \(-0.678834\pi\)
0.697042 0.717031i \(-0.254499\pi\)
\(938\) −4.08239 2.96603i −0.133295 0.0968444i
\(939\) 6.34370 4.60897i 0.207019 0.150408i
\(940\) 2.92533 0.645225i 0.0954137 0.0210449i
\(941\) 1.92534 18.3184i 0.0627644 0.597163i −0.917260 0.398288i \(-0.869605\pi\)
0.980025 0.198875i \(-0.0637288\pi\)
\(942\) −3.04245 9.36371i −0.0991285 0.305086i
\(943\) −71.6859 −2.33442
\(944\) 6.13826 6.81723i 0.199783 0.221882i
\(945\) −28.3176 + 12.8683i −0.921172 + 0.418605i
\(946\) −1.87464 + 0.398467i −0.0609498 + 0.0129553i
\(947\) −30.3130 33.6660i −0.985041 1.09400i −0.995567 0.0940547i \(-0.970017\pi\)
0.0105256 0.999945i \(-0.496650\pi\)
\(948\) 0.562594 + 5.35272i 0.0182722 + 0.173848i
\(949\) −17.8433 −0.579218
\(950\) −20.4789 + 7.45761i −0.664422 + 0.241957i
\(951\) 15.3982 0.499322
\(952\) −1.09421 10.4107i −0.0354635 0.337412i
\(953\) −39.0263 43.3431i −1.26419 1.40402i −0.875907 0.482481i \(-0.839736\pi\)
−0.388281 0.921541i \(-0.626931\pi\)
\(954\) −7.13280 + 1.51612i −0.230933 + 0.0490863i
\(955\) −32.4598 35.5004i −1.05037 1.14876i
\(956\) −15.8965 + 17.6549i −0.514131 + 0.571000i
\(957\) −6.92353 −0.223806
\(958\) 1.38602 + 4.26572i 0.0447802 + 0.137819i
\(959\) 6.98752 66.4818i 0.225639 2.14681i
\(960\) −1.80388 0.786660i −0.0582199 0.0253893i
\(961\) −12.9500 + 9.40872i −0.417742 + 0.303507i
\(962\) −24.4544 17.7672i −0.788442 0.572837i
\(963\) 1.71234 16.2919i 0.0551795 0.524998i
\(964\) 0.303590 + 2.88847i 0.00977799 + 0.0930313i
\(965\) 16.8088 18.9577i 0.541093 0.610269i
\(966\) −22.7042 + 10.1086i −0.730495 + 0.325238i
\(967\) −11.5117 2.44688i −0.370191 0.0786865i 0.0190599 0.999818i \(-0.493933\pi\)
−0.389251 + 0.921132i \(0.627266\pi\)
\(968\) 10.1168 0.325167
\(969\) −5.15915 + 12.2331i −0.165736 + 0.392985i
\(970\) −2.45338 + 1.81132i −0.0787732 + 0.0581579i
\(971\) 12.6264 + 14.0230i 0.405200 + 0.450020i 0.910862 0.412712i \(-0.135418\pi\)
−0.505662 + 0.862732i \(0.668752\pi\)
\(972\) −10.7799 11.9723i −0.345764 0.384010i
\(973\) 42.6044 + 18.9687i 1.36584 + 0.608109i
\(974\) 13.8547 23.9971i 0.443933 0.768915i
\(975\) 14.9323 3.41352i 0.478215 0.109320i
\(976\) 0.286353 0.00916594
\(977\) 3.09099 2.24574i 0.0988896 0.0718475i −0.537242 0.843428i \(-0.680534\pi\)
0.636131 + 0.771581i \(0.280534\pi\)
\(978\) −1.90696 + 0.405338i −0.0609780 + 0.0129613i
\(979\) 1.45904 0.310128i 0.0466310 0.00991172i
\(980\) 4.80502 0.0367565i 0.153491 0.00117414i
\(981\) 2.51045 + 7.72637i 0.0801524 + 0.246684i
\(982\) 4.21736 + 7.30468i 0.134581 + 0.233102i
\(983\) −54.3315 11.5485i −1.73291 0.368340i −0.769972 0.638078i \(-0.779730\pi\)
−0.962934 + 0.269738i \(0.913063\pi\)
\(984\) 0.706373 6.72069i 0.0225184 0.214248i
\(985\) 9.81727 17.3084i 0.312804 0.551493i
\(986\) −3.02822 28.8116i −0.0964381 0.917547i
\(987\) 2.88520 + 2.09622i 0.0918369 + 0.0667234i
\(988\) 11.0726 10.3736i 0.352266 0.330027i
\(989\) −15.4031 + 11.1910i −0.489789 + 0.355852i
\(990\) −4.25758 + 1.93476i −0.135315 + 0.0614906i
\(991\) −35.4968 + 15.8042i −1.12759 + 0.502037i −0.883835 0.467798i \(-0.845047\pi\)
−0.243759 + 0.969836i \(0.578381\pi\)
\(992\) 4.58767 5.09513i 0.145659 0.161770i
\(993\) 13.6397 23.6246i 0.432842 0.749704i
\(994\) 6.89960 7.66278i 0.218842 0.243049i
\(995\) −11.5507 34.6455i −0.366183 1.09833i
\(996\) −0.626898 + 1.92939i −0.0198640 + 0.0611352i
\(997\) 7.00116 1.48814i 0.221729 0.0471299i −0.0957075 0.995409i \(-0.530511\pi\)
0.317436 + 0.948280i \(0.397178\pi\)
\(998\) −1.94109 0.864230i −0.0614442 0.0273567i
\(999\) −39.9358 −1.26351
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 950.2.r.a.11.9 200
19.7 even 3 inner 950.2.r.a.311.17 yes 200
25.16 even 5 inner 950.2.r.a.391.17 yes 200
475.216 even 15 inner 950.2.r.a.691.9 yes 200
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
950.2.r.a.11.9 200 1.1 even 1 trivial
950.2.r.a.311.17 yes 200 19.7 even 3 inner
950.2.r.a.391.17 yes 200 25.16 even 5 inner
950.2.r.a.691.9 yes 200 475.216 even 15 inner