Properties

Label 25.6.d.a.6.6
Level $25$
Weight $6$
Character 25.6
Analytic conductor $4.010$
Analytic rank $0$
Dimension $44$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [25,6,Mod(6,25)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(25, base_ring=CyclotomicField(10))
 
chi = DirichletCharacter(H, H._module([4]))
 
N = Newforms(chi, 6, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("25.6");
 
S:= CuspForms(chi, 6);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 25 = 5^{2} \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 25.d (of order \(5\), 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: \(4.00959549532\)
Analytic rank: \(0\)
Dimension: \(44\)
Relative dimension: \(11\) over \(\Q(\zeta_{5})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 6.6
Character \(\chi\) \(=\) 25.6
Dual form 25.6.d.a.21.6

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.447636 - 1.37768i) q^{2} +(-17.2377 + 12.5239i) q^{3} +(24.1909 - 17.5757i) q^{4} +(14.3787 - 54.0209i) q^{5} +(24.9702 + 18.1419i) q^{6} +250.563 q^{7} +(-72.5441 - 52.7064i) q^{8} +(65.1987 - 200.661i) q^{9} +O(q^{10})\) \(q+(-0.447636 - 1.37768i) q^{2} +(-17.2377 + 12.5239i) q^{3} +(24.1909 - 17.5757i) q^{4} +(14.3787 - 54.0209i) q^{5} +(24.9702 + 18.1419i) q^{6} +250.563 q^{7} +(-72.5441 - 52.7064i) q^{8} +(65.1987 - 200.661i) q^{9} +(-80.8600 + 4.37248i) q^{10} +(-170.079 - 523.448i) q^{11} +(-196.879 + 605.931i) q^{12} +(-92.7873 + 285.570i) q^{13} +(-112.161 - 345.196i) q^{14} +(428.698 + 1111.27i) q^{15} +(255.544 - 786.484i) q^{16} +(637.810 + 463.396i) q^{17} -305.632 q^{18} +(432.265 + 314.059i) q^{19} +(-601.623 - 1559.53i) q^{20} +(-4319.13 + 3138.03i) q^{21} +(-645.012 + 468.629i) q^{22} +(252.709 + 777.759i) q^{23} +1910.59 q^{24} +(-2711.51 - 1553.49i) q^{25} +434.960 q^{26} +(-210.778 - 648.708i) q^{27} +(6061.34 - 4403.82i) q^{28} +(810.866 - 589.129i) q^{29} +(1339.08 - 1088.06i) q^{30} +(1564.17 + 1136.43i) q^{31} -4067.34 q^{32} +(9487.39 + 6892.99i) q^{33} +(352.906 - 1086.13i) q^{34} +(3602.75 - 13535.6i) q^{35} +(-1949.55 - 6000.09i) q^{36} +(-4135.60 + 12728.1i) q^{37} +(239.176 - 736.108i) q^{38} +(-1977.02 - 6084.63i) q^{39} +(-3890.33 + 3161.05i) q^{40} +(-3664.16 + 11277.1i) q^{41} +(6256.61 + 4545.69i) q^{42} -7125.31 q^{43} +(-13314.3 - 9673.43i) q^{44} +(-9902.41 - 6407.32i) q^{45} +(958.384 - 696.306i) q^{46} +(6175.90 - 4487.05i) q^{47} +(5444.87 + 16757.6i) q^{48} +45974.7 q^{49} +(-926.453 + 4431.00i) q^{50} -16797.9 q^{51} +(2774.49 + 8539.00i) q^{52} +(-16246.0 + 11803.4i) q^{53} +(-799.362 + 580.770i) q^{54} +(-30722.6 + 1661.32i) q^{55} +(-18176.9 - 13206.3i) q^{56} -11384.5 q^{57} +(-1174.61 - 853.401i) q^{58} +(-1157.59 + 3562.71i) q^{59} +(29902.0 + 19348.0i) q^{60} +(3130.97 + 9636.15i) q^{61} +(865.468 - 2663.64i) q^{62} +(16336.4 - 50278.2i) q^{63} +(-6356.72 - 19564.0i) q^{64} +(14092.6 + 9118.56i) q^{65} +(5249.46 - 16156.2i) q^{66} +(30825.1 + 22395.7i) q^{67} +23573.7 q^{68} +(-14096.7 - 10241.9i) q^{69} +(-20260.5 + 1095.58i) q^{70} +(21095.5 - 15326.8i) q^{71} +(-15305.9 + 11120.4i) q^{72} +(5966.97 + 18364.4i) q^{73} +19386.5 q^{74} +(66196.1 - 7180.05i) q^{75} +15976.7 q^{76} +(-42615.4 - 131157. i) q^{77} +(-7497.71 + 5447.40i) q^{78} +(-47406.2 + 34442.6i) q^{79} +(-38812.2 - 25113.3i) q^{80} +(53236.0 + 38678.2i) q^{81} +17176.5 q^{82} +(-67755.1 - 49227.0i) q^{83} +(-49330.5 + 151824. i) q^{84} +(34203.9 - 27792.0i) q^{85} +(3189.55 + 9816.42i) q^{86} +(-6599.27 + 20310.5i) q^{87} +(-15250.9 + 46937.3i) q^{88} +(-5737.64 - 17658.7i) q^{89} +(-4394.58 + 16510.5i) q^{90} +(-23249.0 + 71553.2i) q^{91} +(19783.0 + 14373.2i) q^{92} -41195.3 q^{93} +(-8946.29 - 6499.86i) q^{94} +(23181.1 - 18835.6i) q^{95} +(70111.6 - 50939.1i) q^{96} +(6626.17 - 4814.20i) q^{97} +(-20579.9 - 63338.5i) q^{98} -116124. q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44 q - 7 q^{2} - q^{3} - 147 q^{4} + 115 q^{5} + 133 q^{6} - 202 q^{7} - 500 q^{8} - 508 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 44 q - 7 q^{2} - q^{3} - 147 q^{4} + 115 q^{5} + 133 q^{6} - 202 q^{7} - 500 q^{8} - 508 q^{9} - 55 q^{10} + 718 q^{11} - 437 q^{12} - 291 q^{13} - 689 q^{14} - 1125 q^{15} + 2609 q^{16} + 718 q^{17} + 8544 q^{18} + 4075 q^{19} + 1095 q^{20} - 2022 q^{21} - 3704 q^{22} - 1211 q^{23} - 19620 q^{24} - 2405 q^{25} - 17882 q^{26} + 9485 q^{27} + 9371 q^{28} + 14245 q^{29} + 14235 q^{30} - 8637 q^{31} + 30678 q^{32} - 21682 q^{33} - 5639 q^{34} - 36235 q^{35} + 31069 q^{36} - 50777 q^{37} + 6525 q^{38} + 7009 q^{39} - 3470 q^{40} + 5558 q^{41} + 19541 q^{42} + 61194 q^{43} + 26876 q^{44} + 76400 q^{45} + 14553 q^{46} - 46662 q^{47} - 150806 q^{48} - 24482 q^{49} - 21335 q^{50} - 121132 q^{51} + 72648 q^{52} - 93141 q^{53} + 18655 q^{54} + 11760 q^{55} + 47370 q^{56} + 292150 q^{57} - 38730 q^{58} + 47640 q^{59} + 26010 q^{60} - 26747 q^{61} - 46744 q^{62} + 78674 q^{63} + 31148 q^{64} - 61320 q^{65} + 45896 q^{66} + 123558 q^{67} + 123886 q^{68} - 117721 q^{69} + 12280 q^{70} + 110788 q^{71} - 586175 q^{72} - 146691 q^{73} - 179364 q^{74} - 108580 q^{75} - 269280 q^{76} - 153084 q^{77} + 405473 q^{78} - 54065 q^{79} - 360820 q^{80} + 277619 q^{81} - 353334 q^{82} - 54791 q^{83} + 374516 q^{84} + 764240 q^{85} - 74697 q^{86} + 229940 q^{87} + 997600 q^{88} + 217000 q^{89} - 21245 q^{90} - 181052 q^{91} + 801448 q^{92} - 380432 q^{93} - 165099 q^{94} - 61205 q^{95} + 925078 q^{96} - 562302 q^{97} - 982324 q^{98} - 680776 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/25\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{2}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.447636 1.37768i −0.0791316 0.243542i 0.903663 0.428245i \(-0.140868\pi\)
−0.982794 + 0.184703i \(0.940868\pi\)
\(3\) −17.2377 + 12.5239i −1.10580 + 0.803410i −0.981997 0.188896i \(-0.939509\pi\)
−0.123803 + 0.992307i \(0.539509\pi\)
\(4\) 24.1909 17.5757i 0.755966 0.549241i
\(5\) 14.3787 54.0209i 0.257213 0.966355i
\(6\) 24.9702 + 18.1419i 0.283168 + 0.205734i
\(7\) 250.563 1.93273 0.966365 0.257173i \(-0.0827909\pi\)
0.966365 + 0.257173i \(0.0827909\pi\)
\(8\) −72.5441 52.7064i −0.400754 0.291165i
\(9\) 65.1987 200.661i 0.268307 0.825765i
\(10\) −80.8600 + 4.37248i −0.255702 + 0.0138270i
\(11\) −170.079 523.448i −0.423807 1.30434i −0.904132 0.427253i \(-0.859481\pi\)
0.480325 0.877090i \(-0.340519\pi\)
\(12\) −196.879 + 605.931i −0.394681 + 1.21470i
\(13\) −92.7873 + 285.570i −0.152276 + 0.468656i −0.997875 0.0651626i \(-0.979243\pi\)
0.845599 + 0.533818i \(0.179243\pi\)
\(14\) −112.161 345.196i −0.152940 0.470701i
\(15\) 428.698 + 1111.27i 0.491953 + 1.27524i
\(16\) 255.544 786.484i 0.249555 0.768051i
\(17\) 637.810 + 463.396i 0.535265 + 0.388893i 0.822324 0.569020i \(-0.192677\pi\)
−0.287058 + 0.957913i \(0.592677\pi\)
\(18\) −305.632 −0.222340
\(19\) 432.265 + 314.059i 0.274705 + 0.199585i 0.716604 0.697480i \(-0.245695\pi\)
−0.441900 + 0.897064i \(0.645695\pi\)
\(20\) −601.623 1559.53i −0.336318 0.871803i
\(21\) −4319.13 + 3138.03i −2.13721 + 1.55278i
\(22\) −645.012 + 468.629i −0.284126 + 0.206430i
\(23\) 252.709 + 777.759i 0.0996097 + 0.306567i 0.988428 0.151693i \(-0.0484726\pi\)
−0.888818 + 0.458261i \(0.848473\pi\)
\(24\) 1910.59 0.677078
\(25\) −2711.51 1553.49i −0.867683 0.497118i
\(26\) 434.960 0.126187
\(27\) −210.778 648.708i −0.0556437 0.171254i
\(28\) 6061.34 4403.82i 1.46108 1.06154i
\(29\) 810.866 589.129i 0.179042 0.130081i −0.494655 0.869090i \(-0.664706\pi\)
0.673697 + 0.739008i \(0.264706\pi\)
\(30\) 1339.08 1088.06i 0.271646 0.220723i
\(31\) 1564.17 + 1136.43i 0.292334 + 0.212393i 0.724279 0.689507i \(-0.242173\pi\)
−0.431945 + 0.901900i \(0.642173\pi\)
\(32\) −4067.34 −0.702159
\(33\) 9487.39 + 6892.99i 1.51657 + 1.10185i
\(34\) 352.906 1086.13i 0.0523554 0.161133i
\(35\) 3602.75 13535.6i 0.497124 1.86770i
\(36\) −1949.55 6000.09i −0.250713 0.771616i
\(37\) −4135.60 + 12728.1i −0.496632 + 1.52848i 0.317767 + 0.948169i \(0.397067\pi\)
−0.814398 + 0.580306i \(0.802933\pi\)
\(38\) 239.176 736.108i 0.0268694 0.0826956i
\(39\) −1977.02 6084.63i −0.208137 0.640579i
\(40\) −3890.33 + 3161.05i −0.384447 + 0.312379i
\(41\) −3664.16 + 11277.1i −0.340420 + 1.04770i 0.623571 + 0.781767i \(0.285681\pi\)
−0.963990 + 0.265937i \(0.914319\pi\)
\(42\) 6256.61 + 4545.69i 0.547288 + 0.397628i
\(43\) −7125.31 −0.587669 −0.293835 0.955856i \(-0.594931\pi\)
−0.293835 + 0.955856i \(0.594931\pi\)
\(44\) −13314.3 9673.43i −1.03678 0.753267i
\(45\) −9902.41 6407.32i −0.728970 0.471678i
\(46\) 958.384 696.306i 0.0667797 0.0485183i
\(47\) 6175.90 4487.05i 0.407808 0.296290i −0.364906 0.931044i \(-0.618899\pi\)
0.772714 + 0.634755i \(0.218899\pi\)
\(48\) 5444.87 + 16757.6i 0.341102 + 1.04981i
\(49\) 45974.7 2.73545
\(50\) −926.453 + 4431.00i −0.0524081 + 0.250655i
\(51\) −16797.9 −0.904336
\(52\) 2774.49 + 8539.00i 0.142290 + 0.437924i
\(53\) −16246.0 + 11803.4i −0.794433 + 0.577189i −0.909276 0.416194i \(-0.863364\pi\)
0.114843 + 0.993384i \(0.463364\pi\)
\(54\) −799.362 + 580.770i −0.0373043 + 0.0271032i
\(55\) −30722.6 + 1661.32i −1.36947 + 0.0740535i
\(56\) −18176.9 13206.3i −0.774549 0.562743i
\(57\) −11384.5 −0.464117
\(58\) −1174.61 853.401i −0.0458482 0.0333106i
\(59\) −1157.59 + 3562.71i −0.0432939 + 0.133245i −0.970367 0.241635i \(-0.922316\pi\)
0.927073 + 0.374880i \(0.122316\pi\)
\(60\) 29902.0 + 19348.0i 1.07232 + 0.693839i
\(61\) 3130.97 + 9636.15i 0.107735 + 0.331573i 0.990363 0.138499i \(-0.0442279\pi\)
−0.882628 + 0.470072i \(0.844228\pi\)
\(62\) 865.468 2663.64i 0.0285938 0.0880026i
\(63\) 16336.4 50278.2i 0.518566 1.59598i
\(64\) −6356.72 19564.0i −0.193992 0.597045i
\(65\) 14092.6 + 9118.56i 0.413720 + 0.267697i
\(66\) 5249.46 16156.2i 0.148339 0.456540i
\(67\) 30825.1 + 22395.7i 0.838913 + 0.609506i 0.922067 0.387031i \(-0.126499\pi\)
−0.0831535 + 0.996537i \(0.526499\pi\)
\(68\) 23573.7 0.618238
\(69\) −14096.7 10241.9i −0.356448 0.258974i
\(70\) −20260.5 + 1095.58i −0.494203 + 0.0267238i
\(71\) 21095.5 15326.8i 0.496643 0.360832i −0.311090 0.950380i \(-0.600694\pi\)
0.807733 + 0.589548i \(0.200694\pi\)
\(72\) −15305.9 + 11120.4i −0.347959 + 0.252807i
\(73\) 5966.97 + 18364.4i 0.131053 + 0.403339i 0.994955 0.100320i \(-0.0319867\pi\)
−0.863902 + 0.503659i \(0.831987\pi\)
\(74\) 19386.5 0.411547
\(75\) 66196.1 7180.05i 1.35887 0.147392i
\(76\) 15976.7 0.317288
\(77\) −42615.4 131157.i −0.819105 2.52094i
\(78\) −7497.71 + 5447.40i −0.139538 + 0.101380i
\(79\) −47406.2 + 34442.6i −0.854609 + 0.620910i −0.926413 0.376509i \(-0.877124\pi\)
0.0718038 + 0.997419i \(0.477124\pi\)
\(80\) −38812.2 25113.3i −0.678021 0.438711i
\(81\) 53236.0 + 38678.2i 0.901556 + 0.655018i
\(82\) 17176.5 0.282098
\(83\) −67755.1 49227.0i −1.07956 0.784347i −0.101954 0.994789i \(-0.532510\pi\)
−0.977606 + 0.210442i \(0.932510\pi\)
\(84\) −49330.5 + 151824.i −0.762811 + 2.34769i
\(85\) 34203.9 27792.0i 0.513486 0.417228i
\(86\) 3189.55 + 9816.42i 0.0465032 + 0.143122i
\(87\) −6599.27 + 20310.5i −0.0934755 + 0.287688i
\(88\) −15250.9 + 46937.3i −0.209936 + 0.646118i
\(89\) −5737.64 17658.7i −0.0767818 0.236310i 0.905298 0.424778i \(-0.139648\pi\)
−0.982079 + 0.188468i \(0.939648\pi\)
\(90\) −4394.58 + 16510.5i −0.0571888 + 0.214859i
\(91\) −23249.0 + 71553.2i −0.294308 + 0.905786i
\(92\) 19783.0 + 14373.2i 0.243681 + 0.177045i
\(93\) −41195.3 −0.493901
\(94\) −8946.29 6499.86i −0.104430 0.0758725i
\(95\) 23181.1 18835.6i 0.263527 0.214126i
\(96\) 70111.6 50939.1i 0.776447 0.564122i
\(97\) 6626.17 4814.20i 0.0715045 0.0519511i −0.551459 0.834202i \(-0.685929\pi\)
0.622963 + 0.782251i \(0.285929\pi\)
\(98\) −20579.9 63338.5i −0.216461 0.666197i
\(99\) −116124. −1.19079
\(100\) −92897.7 + 10076.3i −0.928977 + 0.100763i
\(101\) 67062.0 0.654143 0.327072 0.945000i \(-0.393938\pi\)
0.327072 + 0.945000i \(0.393938\pi\)
\(102\) 7519.35 + 23142.2i 0.0715616 + 0.220244i
\(103\) 37310.5 27107.7i 0.346528 0.251767i −0.400883 0.916129i \(-0.631297\pi\)
0.747411 + 0.664362i \(0.231297\pi\)
\(104\) 21782.5 15825.9i 0.197481 0.143478i
\(105\) 107416. + 278444.i 0.950813 + 2.46470i
\(106\) 23533.7 + 17098.2i 0.203435 + 0.147804i
\(107\) −74620.8 −0.630087 −0.315043 0.949077i \(-0.602019\pi\)
−0.315043 + 0.949077i \(0.602019\pi\)
\(108\) −16500.4 11988.3i −0.136124 0.0989002i
\(109\) 37324.2 114872.i 0.300901 0.926079i −0.680274 0.732958i \(-0.738139\pi\)
0.981175 0.193121i \(-0.0618609\pi\)
\(110\) 16041.3 + 41582.3i 0.126403 + 0.327663i
\(111\) −88117.2 271197.i −0.678818 2.08919i
\(112\) 64029.8 197064.i 0.482322 1.48444i
\(113\) −38442.6 + 118314.i −0.283215 + 0.871646i 0.703713 + 0.710484i \(0.251524\pi\)
−0.986928 + 0.161162i \(0.948476\pi\)
\(114\) 5096.12 + 15684.2i 0.0367263 + 0.113032i
\(115\) 45648.9 2468.45i 0.321874 0.0174052i
\(116\) 9261.23 28503.1i 0.0639033 0.196674i
\(117\) 51253.1 + 37237.6i 0.346143 + 0.251488i
\(118\) 5426.46 0.0358766
\(119\) 159811. + 116110.i 1.03452 + 0.751625i
\(120\) 27471.7 103212.i 0.174153 0.654297i
\(121\) −114778. + 83391.2i −0.712682 + 0.517794i
\(122\) 11874.0 8626.97i 0.0722267 0.0524758i
\(123\) −78072.1 240281.i −0.465300 1.43205i
\(124\) 57812.3 0.337649
\(125\) −122909. + 124141.i −0.703572 + 0.710624i
\(126\) −76580.1 −0.429724
\(127\) −41568.5 127935.i −0.228694 0.703849i −0.997896 0.0648420i \(-0.979346\pi\)
0.769201 0.639007i \(-0.220654\pi\)
\(128\) −129405. + 94018.2i −0.698113 + 0.507209i
\(129\) 122824. 89236.9i 0.649844 0.472139i
\(130\) 6254.13 23496.9i 0.0324570 0.121942i
\(131\) 263822. + 191678.i 1.34318 + 0.975874i 0.999321 + 0.0368510i \(0.0117327\pi\)
0.343854 + 0.939023i \(0.388267\pi\)
\(132\) 350658. 1.75166
\(133\) 108310. + 78691.5i 0.530930 + 0.385744i
\(134\) 17055.8 52492.3i 0.0820559 0.252542i
\(135\) −38074.5 + 2058.86i −0.179804 + 0.00972285i
\(136\) −21845.4 67233.3i −0.101278 0.311700i
\(137\) −54834.5 + 168763.i −0.249604 + 0.768204i 0.745240 + 0.666796i \(0.232335\pi\)
−0.994845 + 0.101408i \(0.967665\pi\)
\(138\) −7799.84 + 24005.5i −0.0348649 + 0.107303i
\(139\) 11150.2 + 34316.8i 0.0489492 + 0.150650i 0.972543 0.232721i \(-0.0747630\pi\)
−0.923594 + 0.383371i \(0.874763\pi\)
\(140\) −150744. 390760.i −0.650012 1.68496i
\(141\) −50262.8 + 154693.i −0.212911 + 0.655274i
\(142\) −30558.6 22202.1i −0.127178 0.0924003i
\(143\) 165262. 0.675824
\(144\) −141155. 102555.i −0.567272 0.412147i
\(145\) −20166.1 52274.6i −0.0796529 0.206476i
\(146\) 22629.3 16441.2i 0.0878597 0.0638338i
\(147\) −792498. + 575784.i −3.02486 + 2.19769i
\(148\) 123661. + 380590.i 0.464065 + 1.42825i
\(149\) −386662. −1.42681 −0.713404 0.700753i \(-0.752848\pi\)
−0.713404 + 0.700753i \(0.752848\pi\)
\(150\) −39523.6 87983.1i −0.143426 0.319279i
\(151\) −196833. −0.702516 −0.351258 0.936279i \(-0.614246\pi\)
−0.351258 + 0.936279i \(0.614246\pi\)
\(152\) −14805.4 45566.3i −0.0519769 0.159969i
\(153\) 134570. 97770.7i 0.464750 0.337660i
\(154\) −161616. + 117421.i −0.549139 + 0.398973i
\(155\) 83881.8 68157.3i 0.280439 0.227868i
\(156\) −154768. 112445.i −0.509177 0.369939i
\(157\) 239689. 0.776067 0.388033 0.921645i \(-0.373155\pi\)
0.388033 + 0.921645i \(0.373155\pi\)
\(158\) 68671.7 + 49892.9i 0.218844 + 0.159000i
\(159\) 132219. 406928.i 0.414764 1.27651i
\(160\) −58482.9 + 219721.i −0.180605 + 0.678535i
\(161\) 63319.5 + 194878.i 0.192519 + 0.592512i
\(162\) 29455.9 90656.0i 0.0881830 0.271399i
\(163\) 94462.6 290726.i 0.278478 0.857067i −0.709800 0.704403i \(-0.751215\pi\)
0.988278 0.152664i \(-0.0487853\pi\)
\(164\) 109564. + 337204.i 0.318097 + 0.979001i
\(165\) 508781. 413405.i 1.45486 1.18213i
\(166\) −37489.5 + 115381.i −0.105594 + 0.324985i
\(167\) 231018. + 167844.i 0.640994 + 0.465710i 0.860192 0.509971i \(-0.170344\pi\)
−0.219197 + 0.975681i \(0.570344\pi\)
\(168\) 478722. 1.30861
\(169\) 227442. + 165246.i 0.612567 + 0.445056i
\(170\) −53599.5 34681.4i −0.142245 0.0920395i
\(171\) 91202.5 66262.5i 0.238515 0.173292i
\(172\) −172368. + 125233.i −0.444258 + 0.322772i
\(173\) 57599.8 + 177274.i 0.146321 + 0.450329i 0.997178 0.0750673i \(-0.0239172\pi\)
−0.850858 + 0.525396i \(0.823917\pi\)
\(174\) 30935.4 0.0774610
\(175\) −679403. 389248.i −1.67700 0.960796i
\(176\) −455146. −1.10756
\(177\) −24664.8 75910.5i −0.0591759 0.182125i
\(178\) −21759.6 + 15809.3i −0.0514756 + 0.0373992i
\(179\) 650859. 472877.i 1.51829 1.10310i 0.555963 0.831207i \(-0.312350\pi\)
0.962327 0.271895i \(-0.0876502\pi\)
\(180\) −352162. + 19043.0i −0.810141 + 0.0438081i
\(181\) −299087. 217299.i −0.678580 0.493017i 0.194306 0.980941i \(-0.437754\pi\)
−0.872886 + 0.487924i \(0.837754\pi\)
\(182\) 108985. 0.243886
\(183\) −174653. 126893.i −0.385522 0.280098i
\(184\) 22660.3 69741.3i 0.0493425 0.151861i
\(185\) 628117. + 406421.i 1.34931 + 0.873066i
\(186\) 18440.5 + 56754.0i 0.0390832 + 0.120286i
\(187\) 134086. 412674.i 0.280401 0.862985i
\(188\) 70537.4 217092.i 0.145554 0.447970i
\(189\) −52813.1 162542.i −0.107544 0.330987i
\(190\) −36326.2 23504.7i −0.0730022 0.0472358i
\(191\) −218107. + 671266.i −0.432600 + 1.33141i 0.462925 + 0.886397i \(0.346800\pi\)
−0.895526 + 0.445010i \(0.853200\pi\)
\(192\) 354593. + 257627.i 0.694189 + 0.504357i
\(193\) −826228. −1.59664 −0.798319 0.602235i \(-0.794277\pi\)
−0.798319 + 0.602235i \(0.794277\pi\)
\(194\) −9598.55 6973.75i −0.0183105 0.0133034i
\(195\) −357124. + 19311.4i −0.672562 + 0.0363686i
\(196\) 1.11217e6 808039.i 2.06791 1.50242i
\(197\) −207355. + 150652.i −0.380669 + 0.276572i −0.761621 0.648022i \(-0.775596\pi\)
0.380952 + 0.924595i \(0.375596\pi\)
\(198\) 51981.5 + 159983.i 0.0942293 + 0.290008i
\(199\) 484467. 0.867225 0.433612 0.901099i \(-0.357239\pi\)
0.433612 + 0.901099i \(0.357239\pi\)
\(200\) 114825. + 255611.i 0.202984 + 0.451860i
\(201\) −811836. −1.41735
\(202\) −30019.4 92390.1i −0.0517634 0.159311i
\(203\) 203173. 147614.i 0.346039 0.251412i
\(204\) −406357. + 295236.i −0.683648 + 0.496699i
\(205\) 556514. + 360091.i 0.924893 + 0.598449i
\(206\) −54047.3 39267.7i −0.0887373 0.0644714i
\(207\) 172542. 0.279879
\(208\) 200885. + 145951.i 0.321950 + 0.233911i
\(209\) 90874.5 279683.i 0.143905 0.442895i
\(210\) 335524. 272626.i 0.525019 0.426599i
\(211\) −308911. 950730.i −0.477669 1.47011i −0.842324 0.538971i \(-0.818813\pi\)
0.364655 0.931143i \(-0.381187\pi\)
\(212\) −185552. + 571071.i −0.283548 + 0.872671i
\(213\) −171687. + 528398.i −0.259291 + 0.798017i
\(214\) 33403.0 + 102804.i 0.0498598 + 0.153453i
\(215\) −102452. + 384916.i −0.151156 + 0.567897i
\(216\) −18900.4 + 58169.3i −0.0275636 + 0.0848320i
\(217\) 391922. + 284748.i 0.565003 + 0.410498i
\(218\) −174965. −0.249350
\(219\) −332852. 241831.i −0.468965 0.340723i
\(220\) −714009. + 580161.i −0.994597 + 0.808150i
\(221\) −191513. + 139142.i −0.263765 + 0.191636i
\(222\) −334179. + 242795.i −0.455089 + 0.330641i
\(223\) −108967. 335367.i −0.146735 0.451604i 0.850495 0.525983i \(-0.176302\pi\)
−0.997230 + 0.0743792i \(0.976302\pi\)
\(224\) −1.01912e6 −1.35708
\(225\) −488512. + 442808.i −0.643309 + 0.583122i
\(226\) 180207. 0.234694
\(227\) −369935. 1.13854e6i −0.476497 1.46651i −0.843928 0.536457i \(-0.819762\pi\)
0.367430 0.930051i \(-0.380238\pi\)
\(228\) −275402. + 200091.i −0.350857 + 0.254912i
\(229\) −923639. + 671063.i −1.16389 + 0.845619i −0.990265 0.139192i \(-0.955550\pi\)
−0.173629 + 0.984811i \(0.555550\pi\)
\(230\) −23834.8 61784.7i −0.0297093 0.0770125i
\(231\) 2.37719e6 + 1.72713e6i 2.93112 + 2.12958i
\(232\) −89874.4 −0.109627
\(233\) 78543.5 + 57065.2i 0.0947808 + 0.0688623i 0.634166 0.773197i \(-0.281343\pi\)
−0.539386 + 0.842059i \(0.681343\pi\)
\(234\) 28358.8 87279.4i 0.0338570 0.104201i
\(235\) −153593. 398145.i −0.181427 0.470297i
\(236\) 34613.9 + 106531.i 0.0404549 + 0.124507i
\(237\) 385817. 1.18742e6i 0.446181 1.37320i
\(238\) 88425.0 272144.i 0.101189 0.311427i
\(239\) 117976. + 363092.i 0.133597 + 0.411171i 0.995369 0.0961254i \(-0.0306450\pi\)
−0.861772 + 0.507296i \(0.830645\pi\)
\(240\) 983550. 53185.1i 1.10222 0.0596022i
\(241\) 191806. 590318.i 0.212725 0.654701i −0.786582 0.617486i \(-0.788151\pi\)
0.999307 0.0372152i \(-0.0118487\pi\)
\(242\) 166265. + 120799.i 0.182500 + 0.132594i
\(243\) −1.23632e6 −1.34312
\(244\) 245103. + 178078.i 0.263557 + 0.191485i
\(245\) 661054. 2.48359e6i 0.703593 2.64341i
\(246\) −296083. + 215117.i −0.311944 + 0.226640i
\(247\) −129794. + 94301.2i −0.135367 + 0.0983501i
\(248\) −53573.8 164883.i −0.0553125 0.170234i
\(249\) 1.78446e6 1.82393
\(250\) 226045. + 113760.i 0.228742 + 0.115117i
\(251\) 1.54012e6 1.54301 0.771506 0.636222i \(-0.219504\pi\)
0.771506 + 0.636222i \(0.219504\pi\)
\(252\) −488484. 1.50340e6i −0.484561 1.49133i
\(253\) 364136. 264560.i 0.357654 0.259851i
\(254\) −157646. + 114536.i −0.153320 + 0.111393i
\(255\) −241531. + 907438.i −0.232607 + 0.873910i
\(256\) −345094. 250726.i −0.329108 0.239111i
\(257\) −525724. −0.496507 −0.248253 0.968695i \(-0.579857\pi\)
−0.248253 + 0.968695i \(0.579857\pi\)
\(258\) −177921. 129267.i −0.166409 0.120903i
\(259\) −1.03623e6 + 3.18918e6i −0.959856 + 2.95413i
\(260\) 501178. 27101.0i 0.459789 0.0248629i
\(261\) −65347.7 201120.i −0.0593785 0.182748i
\(262\) 145975. 449265.i 0.131379 0.404342i
\(263\) 156495. 481641.i 0.139512 0.429372i −0.856753 0.515727i \(-0.827522\pi\)
0.996264 + 0.0863547i \(0.0275218\pi\)
\(264\) −324950. 1.00009e6i −0.286950 0.883142i
\(265\) 404035. + 1.04734e6i 0.353431 + 0.916165i
\(266\) 59928.6 184441.i 0.0519314 0.159828i
\(267\) 320060. + 232537.i 0.274759 + 0.199624i
\(268\) 1.13931e6 0.968956
\(269\) −1.45842e6 1.05960e6i −1.22886 0.892817i −0.232053 0.972703i \(-0.574544\pi\)
−0.996804 + 0.0798865i \(0.974544\pi\)
\(270\) 19880.0 + 51532.9i 0.0165961 + 0.0430205i
\(271\) −308422. + 224082.i −0.255107 + 0.185346i −0.707987 0.706225i \(-0.750396\pi\)
0.452880 + 0.891571i \(0.350396\pi\)
\(272\) 527442. 383209.i 0.432267 0.314061i
\(273\) −495367. 1.52458e6i −0.402272 1.23807i
\(274\) 257048. 0.206842
\(275\) −352004. + 1.68355e6i −0.280683 + 1.34244i
\(276\) −521021. −0.411702
\(277\) −350238. 1.07792e6i −0.274261 0.844089i −0.989414 0.145121i \(-0.953643\pi\)
0.715153 0.698968i \(-0.246357\pi\)
\(278\) 42286.4 30722.8i 0.0328162 0.0238424i
\(279\) 330020. 239773.i 0.253822 0.184412i
\(280\) −974772. + 792042.i −0.743033 + 0.603744i
\(281\) −605086. 439621.i −0.457142 0.332133i 0.335267 0.942123i \(-0.391173\pi\)
−0.792409 + 0.609990i \(0.791173\pi\)
\(282\) 235617. 0.176435
\(283\) 1.14709e6 + 833408.i 0.851394 + 0.618574i 0.925530 0.378674i \(-0.123620\pi\)
−0.0741359 + 0.997248i \(0.523620\pi\)
\(284\) 240940. 741539.i 0.177261 0.545554i
\(285\) −163694. + 615001.i −0.119377 + 0.448501i
\(286\) −73977.3 227679.i −0.0534790 0.164591i
\(287\) −918101. + 2.82563e6i −0.657939 + 2.02493i
\(288\) −265185. + 816156.i −0.188394 + 0.579818i
\(289\) −246694. 759247.i −0.173746 0.534735i
\(290\) −62990.7 + 51182.4i −0.0439826 + 0.0357376i
\(291\) −53927.4 + 165971.i −0.0373316 + 0.114895i
\(292\) 467115. + 339379.i 0.320602 + 0.232931i
\(293\) −314681. −0.214142 −0.107071 0.994251i \(-0.534147\pi\)
−0.107071 + 0.994251i \(0.534147\pi\)
\(294\) 1.14800e6 + 834069.i 0.774592 + 0.562774i
\(295\) 175816. + 113761.i 0.117626 + 0.0761095i
\(296\) 970865. 705375.i 0.644065 0.467940i
\(297\) −303716. + 220663.i −0.199791 + 0.145157i
\(298\) 173084. + 532697.i 0.112906 + 0.347488i
\(299\) −245553. −0.158843
\(300\) 1.47515e6 1.33714e6i 0.946308 0.857773i
\(301\) −1.78534e6 −1.13581
\(302\) 88109.7 + 271174.i 0.0555913 + 0.171092i
\(303\) −1.15599e6 + 839879.i −0.723351 + 0.525546i
\(304\) 357465. 259714.i 0.221845 0.161180i
\(305\) 565572. 30583.1i 0.348128 0.0188249i
\(306\) −194935. 141629.i −0.119011 0.0864665i
\(307\) 2.44299e6 1.47936 0.739682 0.672956i \(-0.234976\pi\)
0.739682 + 0.672956i \(0.234976\pi\)
\(308\) −3.33608e6 2.42380e6i −2.00382 1.45586i
\(309\) −303653. + 934549.i −0.180918 + 0.556809i
\(310\) −131448. 85052.8i −0.0776870 0.0502672i
\(311\) −172295. 530270.i −0.101012 0.310882i 0.887762 0.460303i \(-0.152259\pi\)
−0.988774 + 0.149421i \(0.952259\pi\)
\(312\) −177278. + 545606.i −0.103102 + 0.317316i
\(313\) −654406. + 2.01406e6i −0.377560 + 1.16201i 0.564174 + 0.825656i \(0.309195\pi\)
−0.941735 + 0.336356i \(0.890805\pi\)
\(314\) −107293. 330215.i −0.0614114 0.189005i
\(315\) −2.48117e6 1.60544e6i −1.40890 0.911626i
\(316\) −541445. + 1.66640e6i −0.305026 + 0.938774i
\(317\) 481864. + 350095.i 0.269325 + 0.195676i 0.714248 0.699893i \(-0.246769\pi\)
−0.444923 + 0.895569i \(0.646769\pi\)
\(318\) −619803. −0.343705
\(319\) −446289. 324248.i −0.245550 0.178402i
\(320\) −1.14826e6 + 62092.0i −0.626855 + 0.0338970i
\(321\) 1.28629e6 934546.i 0.696750 0.506218i
\(322\) 240135. 174468.i 0.129067 0.0937729i
\(323\) 130169. + 400620.i 0.0694228 + 0.213661i
\(324\) 1.96762e6 1.04131
\(325\) 695225. 630181.i 0.365104 0.330946i
\(326\) −442813. −0.230768
\(327\) 795265. + 2.44758e6i 0.411285 + 1.26580i
\(328\) 860189. 624964.i 0.441478 0.320753i
\(329\) 1.54745e6 1.12429e6i 0.788183 0.572648i
\(330\) −797290. 515884.i −0.403024 0.260776i
\(331\) −2.24353e6 1.63002e6i −1.12554 0.817753i −0.140501 0.990081i \(-0.544871\pi\)
−0.985040 + 0.172328i \(0.944871\pi\)
\(332\) −2.50426e6 −1.24691
\(333\) 2.28439e6 + 1.65971e6i 1.12891 + 0.820202i
\(334\) 127824. 393402.i 0.0626970 0.192961i
\(335\) 1.65306e6 1.34318e6i 0.804779 0.653915i
\(336\) 1.36428e6 + 4.19883e6i 0.659259 + 2.02899i
\(337\) 723601. 2.22702e6i 0.347076 1.06819i −0.613387 0.789783i \(-0.710193\pi\)
0.960463 0.278408i \(-0.0898066\pi\)
\(338\) 125845. 387312.i 0.0599164 0.184404i
\(339\) −819095. 2.52091e6i −0.387110 1.19140i
\(340\) 338958. 1.27347e6i 0.159019 0.597437i
\(341\) 328833. 1.01204e6i 0.153140 0.471317i
\(342\) −132114. 95986.6i −0.0610779 0.0443757i
\(343\) 7.30834e6 3.35416
\(344\) 516900. + 375550.i 0.235510 + 0.171108i
\(345\) −755967. + 614253.i −0.341944 + 0.277843i
\(346\) 218443. 158708.i 0.0980954 0.0712705i
\(347\) 403280. 293000.i 0.179797 0.130630i −0.494246 0.869322i \(-0.664556\pi\)
0.674044 + 0.738692i \(0.264556\pi\)
\(348\) 197329. + 607315.i 0.0873458 + 0.268823i
\(349\) −2.56582e6 −1.12762 −0.563810 0.825905i \(-0.690665\pi\)
−0.563810 + 0.825905i \(0.690665\pi\)
\(350\) −232135. + 1.11024e6i −0.101291 + 0.484449i
\(351\) 204809. 0.0887322
\(352\) 691767. + 2.12904e6i 0.297580 + 0.915856i
\(353\) 433216. 314750.i 0.185041 0.134440i −0.491409 0.870929i \(-0.663518\pi\)
0.676449 + 0.736489i \(0.263518\pi\)
\(354\) −93539.7 + 67960.6i −0.0396724 + 0.0288237i
\(355\) −524642. 1.35998e6i −0.220949 0.572744i
\(356\) −449162. 326336.i −0.187836 0.136471i
\(357\) −4.20893e6 −1.74784
\(358\) −942822. 685001.i −0.388797 0.282477i
\(359\) 570483. 1.75577e6i 0.233618 0.719003i −0.763683 0.645591i \(-0.776611\pi\)
0.997302 0.0734123i \(-0.0233889\pi\)
\(360\) 380655. + 986734.i 0.154801 + 0.401277i
\(361\) −676937. 2.08340e6i −0.273388 0.841403i
\(362\) −165487. + 509318.i −0.0663733 + 0.204276i
\(363\) 934127. 2.87495e6i 0.372083 1.14515i
\(364\) 695184. + 2.13956e6i 0.275008 + 0.846389i
\(365\) 1.07786e6 58284.9i 0.423477 0.0228994i
\(366\) −96637.1 + 297419.i −0.0377087 + 0.116055i
\(367\) −1.17442e6 853269.i −0.455155 0.330690i 0.336473 0.941693i \(-0.390766\pi\)
−0.791628 + 0.611004i \(0.790766\pi\)
\(368\) 676274. 0.260317
\(369\) 2.02398e6 + 1.47051e6i 0.773820 + 0.562213i
\(370\) 278752. 1.04728e6i 0.105855 0.397701i
\(371\) −4.07065e6 + 2.95750e6i −1.53542 + 1.11555i
\(372\) −996552. + 724037.i −0.373373 + 0.271271i
\(373\) 1.00416e6 + 3.09050e6i 0.373708 + 1.15015i 0.944346 + 0.328953i \(0.106696\pi\)
−0.570639 + 0.821201i \(0.693304\pi\)
\(374\) −628555. −0.232362
\(375\) 563937. 3.67921e6i 0.207087 1.35106i
\(376\) −684522. −0.249699
\(377\) 92999.4 + 286223.i 0.0336997 + 0.103717i
\(378\) −200290. + 145519.i −0.0720992 + 0.0523831i
\(379\) −461207. + 335086.i −0.164929 + 0.119828i −0.667188 0.744889i \(-0.732502\pi\)
0.502259 + 0.864717i \(0.332502\pi\)
\(380\) 229723. 863075.i 0.0816106 0.306612i
\(381\) 2.31879e6 + 1.68470e6i 0.818369 + 0.594580i
\(382\) 1.02242e6 0.358486
\(383\) 1.33619e6 + 970802.i 0.465450 + 0.338169i 0.795665 0.605737i \(-0.207121\pi\)
−0.330216 + 0.943906i \(0.607121\pi\)
\(384\) 1.05317e6 3.24132e6i 0.364476 1.12174i
\(385\) −7.69794e6 + 416264.i −2.64681 + 0.143125i
\(386\) 369849. + 1.13828e6i 0.126345 + 0.388849i
\(387\) −464561. + 1.42977e6i −0.157676 + 0.485277i
\(388\) 75680.2 232920.i 0.0255213 0.0785465i
\(389\) 1.34834e6 + 4.14976e6i 0.451778 + 1.39043i 0.874876 + 0.484347i \(0.160943\pi\)
−0.423098 + 0.906084i \(0.639057\pi\)
\(390\) 186466. + 483359.i 0.0620782 + 0.160919i
\(391\) −199230. + 613167.i −0.0659042 + 0.202832i
\(392\) −3.33519e6 2.42316e6i −1.09624 0.796466i
\(393\) −6.94825e6 −2.26931
\(394\) 300370. + 218231.i 0.0974800 + 0.0708234i
\(395\) 1.17898e6 + 3.05616e6i 0.380202 + 0.985562i
\(396\) −2.80916e6 + 2.04097e6i −0.900198 + 0.654032i
\(397\) 1.68083e6 1.22119e6i 0.535239 0.388874i −0.287075 0.957908i \(-0.592683\pi\)
0.822314 + 0.569034i \(0.192683\pi\)
\(398\) −216865. 667442.i −0.0686249 0.211206i
\(399\) −2.85253e6 −0.897013
\(400\) −1.91471e6 + 1.73557e6i −0.598346 + 0.542366i
\(401\) 4.37392e6 1.35835 0.679173 0.733978i \(-0.262339\pi\)
0.679173 + 0.733978i \(0.262339\pi\)
\(402\) 363407. + 1.11845e6i 0.112158 + 0.345185i
\(403\) −469666. + 341233.i −0.144054 + 0.104662i
\(404\) 1.62229e6 1.17866e6i 0.494510 0.359283i
\(405\) 2.85489e6 2.31971e6i 0.864872 0.702743i
\(406\) −294312. 213830.i −0.0886122 0.0643805i
\(407\) 7.36586e6 2.20413
\(408\) 1.21859e6 + 885358.i 0.362416 + 0.263311i
\(409\) 702217. 2.16120e6i 0.207569 0.638832i −0.792029 0.610484i \(-0.790975\pi\)
0.999598 0.0283487i \(-0.00902488\pi\)
\(410\) 246975. 927889.i 0.0725593 0.272607i
\(411\) −1.16836e6 3.59583e6i −0.341170 1.05001i
\(412\) 426139. 1.31152e6i 0.123682 0.380655i
\(413\) −290050. + 892682.i −0.0836754 + 0.257526i
\(414\) −77236.1 237708.i −0.0221472 0.0681622i
\(415\) −3.63351e6 + 2.95237e6i −1.03563 + 0.841494i
\(416\) 377397. 1.16151e6i 0.106922 0.329071i
\(417\) −621984. 451898.i −0.175162 0.127262i
\(418\) −425993. −0.119251
\(419\) −655562. 476294.i −0.182423 0.132538i 0.492826 0.870128i \(-0.335964\pi\)
−0.675249 + 0.737590i \(0.735964\pi\)
\(420\) 7.49234e6 + 4.84789e6i 2.07250 + 1.34100i
\(421\) 988606. 718264.i 0.271843 0.197505i −0.443509 0.896270i \(-0.646267\pi\)
0.715352 + 0.698765i \(0.246267\pi\)
\(422\) −1.17152e6 + 851162.i −0.320236 + 0.232665i
\(423\) −497716. 1.53181e6i −0.135248 0.416250i
\(424\) 1.80067e6 0.486429
\(425\) −1.00954e6 2.24734e6i −0.271115 0.603526i
\(426\) 804818. 0.214869
\(427\) 784505. + 2.41446e6i 0.208222 + 0.640841i
\(428\) −1.80515e6 + 1.31151e6i −0.476324 + 0.346070i
\(429\) −2.84874e6 + 2.06973e6i −0.747325 + 0.542964i
\(430\) 576153. 31155.3i 0.150268 0.00812569i
\(431\) −1.66810e6 1.21195e6i −0.432543 0.314261i 0.350122 0.936704i \(-0.386140\pi\)
−0.782665 + 0.622443i \(0.786140\pi\)
\(432\) −564062. −0.145418
\(433\) −465696. 338348.i −0.119367 0.0867249i 0.526500 0.850175i \(-0.323504\pi\)
−0.645867 + 0.763450i \(0.723504\pi\)
\(434\) 216854. 667408.i 0.0552641 0.170085i
\(435\) 1.00230e6 + 648535.i 0.253965 + 0.164328i
\(436\) −1.11605e6 3.43486e6i −0.281170 0.865352i
\(437\) −135025. + 415564.i −0.0338229 + 0.104096i
\(438\) −184170. + 566816.i −0.0458705 + 0.141175i
\(439\) 1.01595e6 + 3.12676e6i 0.251599 + 0.774342i 0.994481 + 0.104920i \(0.0334585\pi\)
−0.742882 + 0.669423i \(0.766541\pi\)
\(440\) 2.31631e6 + 1.49876e6i 0.570381 + 0.369063i
\(441\) 2.99749e6 9.22532e6i 0.733941 2.25884i
\(442\) 277421. + 201558.i 0.0675436 + 0.0490733i
\(443\) −7.46501e6 −1.80726 −0.903631 0.428312i \(-0.859108\pi\)
−0.903631 + 0.428312i \(0.859108\pi\)
\(444\) −6.89812e6 5.01178e6i −1.66063 1.20652i
\(445\) −1.03644e6 + 56044.9i −0.248109 + 0.0134164i
\(446\) −413251. + 300244.i −0.0983732 + 0.0714723i
\(447\) 6.66516e6 4.84253e6i 1.57776 1.14631i
\(448\) −1.59276e6 4.90201e6i −0.374934 1.15393i
\(449\) −1.51027e6 −0.353540 −0.176770 0.984252i \(-0.556565\pi\)
−0.176770 + 0.984252i \(0.556565\pi\)
\(450\) 828725. + 474798.i 0.192921 + 0.110529i
\(451\) 6.52618e6 1.51084
\(452\) 1.14949e6 + 3.53778e6i 0.264643 + 0.814488i
\(453\) 3.39296e6 2.46513e6i 0.776842 0.564409i
\(454\) −1.40295e6 + 1.01931e6i −0.319450 + 0.232094i
\(455\) 3.53107e6 + 2.28477e6i 0.799610 + 0.517386i
\(456\) 825880. + 600037.i 0.185996 + 0.135134i
\(457\) −5.49039e6 −1.22974 −0.614869 0.788629i \(-0.710791\pi\)
−0.614869 + 0.788629i \(0.710791\pi\)
\(458\) 1.33797e6 + 972090.i 0.298045 + 0.216542i
\(459\) 166172. 511426.i 0.0368152 0.113306i
\(460\) 1.06090e6 862026.i 0.233766 0.189944i
\(461\) 2.80470e6 + 8.63199e6i 0.614659 + 1.89173i 0.406579 + 0.913616i \(0.366722\pi\)
0.208080 + 0.978112i \(0.433278\pi\)
\(462\) 1.31532e6 4.04813e6i 0.286699 0.882368i
\(463\) 871457. 2.68207e6i 0.188927 0.581456i −0.811067 0.584953i \(-0.801113\pi\)
0.999994 + 0.00349648i \(0.00111297\pi\)
\(464\) −256128. 788281.i −0.0552284 0.169976i
\(465\) −592333. + 2.22541e6i −0.127038 + 0.477284i
\(466\) 43458.8 133752.i 0.00927070 0.0285323i
\(467\) −4.61002e6 3.34937e6i −0.978161 0.710676i −0.0208642 0.999782i \(-0.506642\pi\)
−0.957297 + 0.289107i \(0.906642\pi\)
\(468\) 1.89434e6 0.399800
\(469\) 7.72362e6 + 5.61153e6i 1.62139 + 1.17801i
\(470\) −479764. + 389827.i −0.100180 + 0.0814005i
\(471\) −4.13169e6 + 3.00185e6i −0.858174 + 0.623500i
\(472\) 271754. 197441.i 0.0561463 0.0407927i
\(473\) 1.21186e6 + 3.72973e6i 0.249058 + 0.766522i
\(474\) −1.80860e6 −0.369740
\(475\) −684202. 1.52310e6i −0.139139 0.309737i
\(476\) 5.90670e6 1.19489
\(477\) 1.30927e6 + 4.02951e6i 0.263471 + 0.810879i
\(478\) 447416. 325066.i 0.0895656 0.0650732i
\(479\) −372764. + 270829.i −0.0742327 + 0.0539332i −0.624283 0.781199i \(-0.714609\pi\)
0.550050 + 0.835132i \(0.314609\pi\)
\(480\) −1.74366e6 4.51993e6i −0.345429 0.895423i
\(481\) −3.25102e6 2.36201e6i −0.640704 0.465499i
\(482\) −899129. −0.176281
\(483\) −3.53212e6 2.56623e6i −0.688917 0.500528i
\(484\) −1.31093e6 + 4.03462e6i −0.254370 + 0.782869i
\(485\) −164792. 427173.i −0.0318113 0.0824612i
\(486\) 553422. + 1.70326e6i 0.106283 + 0.327107i
\(487\) 2.41332e6 7.42743e6i 0.461097 1.41911i −0.402729 0.915319i \(-0.631938\pi\)
0.863826 0.503791i \(-0.168062\pi\)
\(488\) 280753. 864068.i 0.0533672 0.164247i
\(489\) 2.01271e6 + 6.19449e6i 0.380636 + 1.17148i
\(490\) −3.71751e6 + 201023.i −0.699459 + 0.0378230i
\(491\) −3.00510e6 + 9.24875e6i −0.562542 + 1.73133i 0.112600 + 0.993640i \(0.464082\pi\)
−0.675143 + 0.737687i \(0.735918\pi\)
\(492\) −6.11175e6 4.44045e6i −1.13829 0.827017i
\(493\) 790178. 0.146422
\(494\) 188018. + 136603.i 0.0346642 + 0.0251850i
\(495\) −1.66971e6 + 6.27315e6i −0.306287 + 1.15073i
\(496\) 1.29350e6 939784.i 0.236082 0.171524i
\(497\) 5.28575e6 3.84033e6i 0.959878 0.697392i
\(498\) −798788. 2.45842e6i −0.144331 0.444204i
\(499\) −6.49298e6 −1.16733 −0.583664 0.811995i \(-0.698382\pi\)
−0.583664 + 0.811995i \(0.698382\pi\)
\(500\) −791414. + 5.16330e6i −0.141572 + 0.923639i
\(501\) −6.08429e6 −1.08297
\(502\) −689412. 2.12179e6i −0.122101 0.375789i
\(503\) −4.96721e6 + 3.60889e6i −0.875372 + 0.635995i −0.932023 0.362399i \(-0.881958\pi\)
0.0566509 + 0.998394i \(0.481958\pi\)
\(504\) −3.83509e6 + 2.78635e6i −0.672510 + 0.488607i
\(505\) 964261. 3.62275e6i 0.168254 0.632135i
\(506\) −527481. 383237.i −0.0915863 0.0665413i
\(507\) −5.99010e6 −1.03494
\(508\) −3.25413e6 2.36426e6i −0.559468 0.406477i
\(509\) −2.26138e6 + 6.95980e6i −0.386882 + 1.19070i 0.548224 + 0.836332i \(0.315304\pi\)
−0.935106 + 0.354369i \(0.884696\pi\)
\(510\) 1.35828e6 73448.5i 0.231240 0.0125042i
\(511\) 1.49510e6 + 4.60144e6i 0.253290 + 0.779546i
\(512\) −1.77265e6 + 5.45565e6i −0.298846 + 0.919754i
\(513\) 112621. 346611.i 0.0188940 0.0581498i
\(514\) 235333. + 724281.i 0.0392894 + 0.120920i
\(515\) −927906. 2.40532e6i −0.154165 0.399627i
\(516\) 1.40282e6 4.31744e6i 0.231942 0.713843i
\(517\) −3.39913e6 2.46961e6i −0.559295 0.406352i
\(518\) 4.85753e6 0.795410
\(519\) −3.21306e6 2.33442e6i −0.523600 0.380418i
\(520\) −541727. 1.40427e6i −0.0878562 0.227741i
\(521\) 8.89183e6 6.46029e6i 1.43515 1.04270i 0.446119 0.894973i \(-0.352806\pi\)
0.989029 0.147723i \(-0.0471944\pi\)
\(522\) −247827. + 180057.i −0.0398082 + 0.0289223i
\(523\) 2.94704e6 + 9.07005e6i 0.471120 + 1.44996i 0.851119 + 0.524972i \(0.175924\pi\)
−0.379999 + 0.924987i \(0.624076\pi\)
\(524\) 9.75097e6 1.55139
\(525\) 1.65863e7 1.79905e6i 2.62634 0.284869i
\(526\) −733601. −0.115610
\(527\) 471022. + 1.44966e6i 0.0738780 + 0.227373i
\(528\) 7.84568e6 5.70022e6i 1.22474 0.889829i
\(529\) 4.66606e6 3.39009e6i 0.724956 0.526711i
\(530\) 1.26204e6 1.02546e6i 0.195157 0.158573i
\(531\) 639423. + 464568.i 0.0984128 + 0.0715011i
\(532\) 4.00317e6 0.613232
\(533\) −2.88042e6 2.09275e6i −0.439175 0.319079i
\(534\) 177092. 545032.i 0.0268748 0.0827121i
\(535\) −1.07295e6 + 4.03108e6i −0.162067 + 0.608887i
\(536\) −1.05578e6 3.24936e6i −0.158731 0.488524i
\(537\) −5.29705e6 + 1.63026e7i −0.792680 + 2.43962i
\(538\) −806955. + 2.48355e6i −0.120197 + 0.369928i
\(539\) −7.81931e6 2.40654e7i −1.15930 3.56796i
\(540\) −884871. + 718993.i −0.130586 + 0.106106i
\(541\) 2.01133e6 6.19023e6i 0.295454 0.909313i −0.687615 0.726076i \(-0.741342\pi\)
0.983069 0.183238i \(-0.0586578\pi\)
\(542\) 446774. + 324600.i 0.0653265 + 0.0474625i
\(543\) 7.87702e6 1.14647
\(544\) −2.59419e6 1.88479e6i −0.375841 0.273065i
\(545\) −5.66881e6 3.66799e6i −0.817525 0.528977i
\(546\) −1.87865e6 + 1.36492e6i −0.269689 + 0.195941i
\(547\) 8.15129e6 5.92226e6i 1.16482 0.846289i 0.174438 0.984668i \(-0.444189\pi\)
0.990379 + 0.138379i \(0.0441891\pi\)
\(548\) 1.63964e6 + 5.04629e6i 0.233237 + 0.717829i
\(549\) 2.13773e6 0.302707
\(550\) 2.47697e6 268668.i 0.349151 0.0378712i
\(551\) 535530. 0.0751459
\(552\) 482823. + 1.48598e6i 0.0674435 + 0.207570i
\(553\) −1.18782e7 + 8.63004e6i −1.65173 + 1.20005i
\(554\) −1.32826e6 + 965034.i −0.183868 + 0.133588i
\(555\) −1.59173e7 + 860722.i −2.19350 + 0.118613i
\(556\) 872875. + 634181.i 0.119747 + 0.0870014i
\(557\) −2.05004e6 −0.279978 −0.139989 0.990153i \(-0.544707\pi\)
−0.139989 + 0.990153i \(0.544707\pi\)
\(558\) −478060. 347331.i −0.0649976 0.0472235i
\(559\) 661138. 2.03477e6i 0.0894876 0.275415i
\(560\) −9.72488e6 6.29246e6i −1.31043 0.847911i
\(561\) 2.85697e6 + 8.79284e6i 0.383264 + 1.17957i
\(562\) −334799. + 1.03041e6i −0.0447140 + 0.137616i
\(563\) 3.24454e6 9.98567e6i 0.431402 1.32772i −0.465327 0.885139i \(-0.654063\pi\)
0.896729 0.442580i \(-0.145937\pi\)
\(564\) 1.50294e6 + 4.62557e6i 0.198950 + 0.612305i
\(565\) 5.83867e6 + 3.77790e6i 0.769473 + 0.497885i
\(566\) 634694. 1.95339e6i 0.0832766 0.256299i
\(567\) 1.33389e7 + 9.69131e6i 1.74246 + 1.26597i
\(568\) −2.33818e6 −0.304093
\(569\) 6.46233e6 + 4.69516e6i 0.836774 + 0.607952i 0.921468 0.388455i \(-0.126991\pi\)
−0.0846935 + 0.996407i \(0.526991\pi\)
\(570\) 920552. 49778.5i 0.118675 0.00641734i
\(571\) −5.04393e6 + 3.66463e6i −0.647409 + 0.470370i −0.862388 0.506248i \(-0.831032\pi\)
0.214978 + 0.976619i \(0.431032\pi\)
\(572\) 3.99784e6 2.90460e6i 0.510900 0.371190i
\(573\) −4.64721e6 1.43026e7i −0.591297 1.81983i
\(574\) 4.30379e6 0.545219
\(575\) 523021. 2.50148e6i 0.0659705 0.315521i
\(576\) −4.34018e6 −0.545069
\(577\) −1.15565e6 3.55673e6i −0.144507 0.444745i 0.852441 0.522824i \(-0.175122\pi\)
−0.996947 + 0.0780785i \(0.975122\pi\)
\(578\) −935572. + 679733.i −0.116482 + 0.0846289i
\(579\) 1.42423e7 1.03476e7i 1.76556 1.28276i
\(580\) −1.40660e6 910136.i −0.173620 0.112340i
\(581\) −1.69769e7 1.23344e7i −2.08650 1.51593i
\(582\) 252796. 0.0309359
\(583\) 8.94158e6 + 6.49644e6i 1.08954 + 0.791596i
\(584\) 535055. 1.64673e6i 0.0649182 0.199798i
\(585\) 2.74856e6 2.23331e6i 0.332059 0.269811i
\(586\) 140863. + 433530.i 0.0169454 + 0.0521525i
\(587\) 611411. 1.88173e6i 0.0732383 0.225404i −0.907736 0.419542i \(-0.862191\pi\)
0.980974 + 0.194137i \(0.0621908\pi\)
\(588\) −9.05144e6 + 2.78575e7i −1.07963 + 3.32276i
\(589\) 319228. + 982482.i 0.0379151 + 0.116691i
\(590\) 78025.2 293142.i 0.00922794 0.0346695i
\(591\) 1.68756e6 5.19379e6i 0.198743 0.611667i
\(592\) 8.95360e6 + 6.50517e6i 1.05001 + 0.762877i
\(593\) 2.23802e6 0.261353 0.130677 0.991425i \(-0.458285\pi\)
0.130677 + 0.991425i \(0.458285\pi\)
\(594\) 439958. + 319648.i 0.0511617 + 0.0371711i
\(595\) 8.57022e6 6.96365e6i 0.992430 0.806389i
\(596\) −9.35370e6 + 6.79586e6i −1.07862 + 0.783662i
\(597\) −8.35110e6 + 6.06743e6i −0.958977 + 0.696737i
\(598\) 109918. + 338294.i 0.0125695 + 0.0386849i
\(599\) 1.32372e7 1.50740 0.753701 0.657218i \(-0.228267\pi\)
0.753701 + 0.657218i \(0.228267\pi\)
\(600\) −5.18057e6 2.96809e6i −0.587489 0.336588i
\(601\) −1.48594e6 −0.167809 −0.0839046 0.996474i \(-0.526739\pi\)
−0.0839046 + 0.996474i \(0.526739\pi\)
\(602\) 799182. + 2.45963e6i 0.0898782 + 0.276617i
\(603\) 6.50370e6 4.72522e6i 0.728396 0.529210i
\(604\) −4.76158e6 + 3.45949e6i −0.531079 + 0.385851i
\(605\) 2.85451e6 + 7.39947e6i 0.317061 + 0.821887i
\(606\) 1.67455e6 + 1.21663e6i 0.185232 + 0.134579i
\(607\) −1.61851e7 −1.78296 −0.891482 0.453057i \(-0.850334\pi\)
−0.891482 + 0.453057i \(0.850334\pi\)
\(608\) −1.75817e6 1.27738e6i −0.192886 0.140140i
\(609\) −1.65353e6 + 5.08904e6i −0.180663 + 0.556023i
\(610\) −295304. 765489.i −0.0321326 0.0832941i
\(611\) 708322. + 2.17999e6i 0.0767588 + 0.236239i
\(612\) 1.53698e6 4.73033e6i 0.165878 0.510520i
\(613\) 3.05248e6 9.39456e6i 0.328096 1.00978i −0.641927 0.766766i \(-0.721865\pi\)
0.970024 0.243011i \(-0.0781351\pi\)
\(614\) −1.09357e6 3.36566e6i −0.117065 0.360288i
\(615\) −1.41028e7 + 762603.i −1.50355 + 0.0813038i
\(616\) −3.82130e6 + 1.17607e7i −0.405751 + 1.24877i
\(617\) −8.47254e6 6.15566e6i −0.895985 0.650971i 0.0414468 0.999141i \(-0.486803\pi\)
−0.937432 + 0.348170i \(0.886803\pi\)
\(618\) 1.42344e6 0.149923
\(619\) −1.26440e7 9.18638e6i −1.32635 0.963647i −0.999830 0.0184552i \(-0.994125\pi\)
−0.326516 0.945192i \(-0.605875\pi\)
\(620\) 831263. 3.12307e6i 0.0868479 0.326289i
\(621\) 451273. 327869.i 0.0469581 0.0341171i
\(622\) −653418. + 474736.i −0.0677197 + 0.0492013i
\(623\) −1.43764e6 4.42460e6i −0.148399 0.456724i
\(624\) −5.29068e6 −0.543939
\(625\) 4.93893e6 + 8.42463e6i 0.505747 + 0.862682i
\(626\) 3.06766e6 0.312876
\(627\) 1.93626e6 + 5.95920e6i 0.196696 + 0.605368i
\(628\) 5.79830e6 4.21271e6i 0.586680 0.426248i
\(629\) −8.53587e6 + 6.20167e6i −0.860243 + 0.625003i
\(630\) −1.10112e6 + 4.13692e6i −0.110531 + 0.415266i
\(631\) 3.47568e6 + 2.52523e6i 0.347509 + 0.252480i 0.747823 0.663898i \(-0.231099\pi\)
−0.400314 + 0.916378i \(0.631099\pi\)
\(632\) 5.25439e6 0.523275
\(633\) 1.72318e7 + 1.25196e7i 1.70931 + 1.24189i
\(634\) 266620. 820571.i 0.0263432 0.0810761i
\(635\) −7.50885e6 + 406038.i −0.738991 + 0.0399607i
\(636\) −3.95356e6 1.21678e7i −0.387566 1.19280i
\(637\) −4.26587e6 + 1.31290e7i −0.416542 + 1.28198i
\(638\) −246936. + 759990.i −0.0240177 + 0.0739190i
\(639\) −1.70009e6 5.23234e6i −0.164710 0.506925i
\(640\) 3.21828e6 + 8.34242e6i 0.310580 + 0.805086i
\(641\) −2.26972e6 + 6.98548e6i −0.218186 + 0.671508i 0.780726 + 0.624874i \(0.214850\pi\)
−0.998912 + 0.0466343i \(0.985150\pi\)
\(642\) −1.86330e6 1.35376e6i −0.178420 0.129630i
\(643\) −373263. −0.0356031 −0.0178016 0.999842i \(-0.505667\pi\)
−0.0178016 + 0.999842i \(0.505667\pi\)
\(644\) 4.95687e6 + 3.60138e6i 0.470970 + 0.342180i
\(645\) −3.05461e6 7.91817e6i −0.289106 0.749420i
\(646\) 493658. 358664.i 0.0465420 0.0338148i
\(647\) −1.26876e7 + 9.21806e6i −1.19156 + 0.865722i −0.993429 0.114452i \(-0.963489\pi\)
−0.198136 + 0.980175i \(0.563489\pi\)
\(648\) −1.82337e6 5.61175e6i −0.170583 0.525002i
\(649\) 2.06177e6 0.192145
\(650\) −1.17940e6 675707.i −0.109490 0.0627300i
\(651\) −1.03220e7 −0.954578
\(652\) −2.82459e6 8.69318e6i −0.260217 0.800866i
\(653\) 9.23600e6 6.71034e6i 0.847619 0.615831i −0.0768694 0.997041i \(-0.524492\pi\)
0.924489 + 0.381210i \(0.124492\pi\)
\(654\) 3.01599e6 2.19125e6i 0.275731 0.200330i
\(655\) 1.41480e7 1.14958e7i 1.28852 1.04698i
\(656\) 7.93292e6 + 5.76360e6i 0.719736 + 0.522919i
\(657\) 4.07406e6 0.368226
\(658\) −2.24161e6 1.62862e6i −0.201834 0.146641i
\(659\) −4.58476e6 + 1.41104e7i −0.411247 + 1.26569i 0.504318 + 0.863518i \(0.331744\pi\)
−0.915565 + 0.402170i \(0.868256\pi\)
\(660\) 5.04199e6 1.89429e7i 0.450549 1.69272i
\(661\) −2.05945e6 6.33832e6i −0.183336 0.564249i 0.816580 0.577232i \(-0.195867\pi\)
−0.999916 + 0.0129831i \(0.995867\pi\)
\(662\) −1.24136e6 + 3.82052e6i −0.110091 + 0.338827i
\(663\) 1.55863e6 4.79698e6i 0.137708 0.423823i
\(664\) 2.32066e6 + 7.14226e6i 0.204264 + 0.628659i
\(665\) 5.80833e6 4.71950e6i 0.509327 0.413849i
\(666\) 1.26397e6 3.89011e6i 0.110421 0.339841i
\(667\) 663114. + 481780.i 0.0577130 + 0.0419309i
\(668\) 8.53851e6 0.740357
\(669\) 6.07845e6 + 4.41625e6i 0.525083 + 0.381495i
\(670\) −2.59044e6 1.67614e6i −0.222939 0.144252i
\(671\) 4.51151e6 3.27780e6i 0.386826 0.281046i
\(672\) 1.75674e7 1.27634e7i 1.50066 1.09030i
\(673\) 1.50224e6 + 4.62342e6i 0.127850 + 0.393482i 0.994410 0.105592i \(-0.0336736\pi\)
−0.866559 + 0.499074i \(0.833674\pi\)
\(674\) −3.39203e6 −0.287614
\(675\) −436238. + 2.08642e6i −0.0368523 + 0.176255i
\(676\) 8.40634e6 0.707523
\(677\) −2.39273e6 7.36406e6i −0.200642 0.617512i −0.999864 0.0164769i \(-0.994755\pi\)
0.799222 0.601036i \(-0.205245\pi\)
\(678\) −3.10636e6 + 2.25690e6i −0.259524 + 0.188555i
\(679\) 1.66027e6 1.20626e6i 0.138199 0.100407i
\(680\) −3.94611e6 + 213385.i −0.327263 + 0.0176966i
\(681\) 2.06358e7 + 1.49928e7i 1.70512 + 1.23884i
\(682\) −1.54147e6 −0.126904
\(683\) −8.67971e6 6.30618e6i −0.711956 0.517267i 0.171848 0.985124i \(-0.445026\pi\)
−0.883804 + 0.467857i \(0.845026\pi\)
\(684\) 1.04166e6 3.20590e6i 0.0851306 0.262005i
\(685\) 8.32829e6 + 5.38879e6i 0.678156 + 0.438799i
\(686\) −3.27148e6 1.00686e7i −0.265420 0.816878i
\(687\) 7.51708e6 2.31352e7i 0.607655 1.87017i
\(688\) −1.82083e6 + 5.60394e6i −0.146656 + 0.451360i
\(689\) −1.86328e6 5.73458e6i −0.149530 0.460207i
\(690\) 1.18464e6 + 766520.i 0.0947251 + 0.0612916i
\(691\) −3.96343e6 + 1.21982e7i −0.315773 + 0.971851i 0.659661 + 0.751563i \(0.270700\pi\)
−0.975435 + 0.220288i \(0.929300\pi\)
\(692\) 4.50911e6 + 3.27606e6i 0.357953 + 0.260068i
\(693\) −2.90965e7 −2.30148
\(694\) −584183. 424434.i −0.0460416 0.0334512i
\(695\) 2.01415e6 108914.i 0.158172 0.00855308i
\(696\) 1.54923e6 1.12558e6i 0.121225 0.0880752i
\(697\) −7.56281e6 + 5.49470e6i −0.589659 + 0.428412i
\(698\) 1.14855e6 + 3.53488e6i 0.0892303 + 0.274623i
\(699\) −2.06859e6 −0.160133
\(700\) −2.32767e7 + 2.52474e6i −1.79546 + 0.194747i
\(701\) −3.97418e6 −0.305459 −0.152729 0.988268i \(-0.548806\pi\)
−0.152729 + 0.988268i \(0.548806\pi\)
\(702\) −91679.9 282162.i −0.00702153 0.0216100i
\(703\) −5.78504e6 + 4.20308e6i −0.441487 + 0.320759i
\(704\) −9.15959e6 + 6.65483e6i −0.696537 + 0.506064i
\(705\) 7.63394e6 + 4.93952e6i 0.578463 + 0.374293i
\(706\) −627548. 455940.i −0.0473844 0.0344268i
\(707\) 1.68032e7 1.26428
\(708\) −1.93085e6 1.40284e6i −0.144765 0.105178i
\(709\) 5.94396e6 1.82936e7i 0.444079 1.36673i −0.439412 0.898286i \(-0.644813\pi\)
0.883491 0.468448i \(-0.155187\pi\)
\(710\) −1.63877e6 + 1.33156e6i −0.122003 + 0.0991326i
\(711\) 3.82047e6 + 1.17582e7i 0.283428 + 0.872301i
\(712\) −514492. + 1.58344e6i −0.0380346 + 0.117058i
\(713\) −488593. + 1.50373e6i −0.0359934 + 0.110776i
\(714\) 1.88407e6 + 5.79857e6i 0.138309 + 0.425672i
\(715\) 2.37625e6 8.92760e6i 0.173831 0.653085i
\(716\) 7.43373e6 2.28787e7i 0.541906 1.66782i
\(717\) −6.58097e6 4.78136e6i −0.478071 0.347339i
\(718\) −2.67426e6 −0.193594
\(719\) −8.87808e6 6.45030e6i −0.640467 0.465327i 0.219543 0.975603i \(-0.429543\pi\)
−0.860011 + 0.510276i \(0.829543\pi\)
\(720\) −7.56976e6 + 6.15073e6i −0.544190 + 0.442176i
\(721\) 9.34863e6 6.79218e6i 0.669746 0.486599i
\(722\) −2.56724e6 + 1.86521e6i −0.183283 + 0.133163i
\(723\) 4.08680e6 + 1.25779e7i 0.290762 + 0.894874i
\(724\) −1.10544e7 −0.783769
\(725\) −3.11388e6 + 337751.i −0.220017 + 0.0238645i
\(726\) −4.37891e6 −0.308336
\(727\) 6.32139e6 + 1.94552e7i 0.443585 + 1.36521i 0.884028 + 0.467433i \(0.154821\pi\)
−0.440443 + 0.897780i \(0.645179\pi\)
\(728\) 5.45789e6 3.96539e6i 0.381677 0.277305i
\(729\) 8.37499e6 6.08479e6i 0.583668 0.424059i
\(730\) −562787. 1.45886e6i −0.0390874 0.101323i
\(731\) −4.54459e6 3.30184e6i −0.314559 0.228540i
\(732\) −6.45526e6 −0.445283
\(733\) −1.71771e7 1.24799e7i −1.18084 0.857929i −0.188572 0.982059i \(-0.560386\pi\)
−0.992266 + 0.124131i \(0.960386\pi\)
\(734\) −649819. + 1.99994e6i −0.0445197 + 0.137017i
\(735\) 1.97093e7 + 5.10904e7i 1.34571 + 3.48836i
\(736\) −1.02785e6 3.16341e6i −0.0699419 0.215259i
\(737\) 6.48032e6 1.99444e7i 0.439468 1.35254i
\(738\) 1.11988e6 3.44665e6i 0.0756889 0.232947i
\(739\) 4.70465e6 + 1.44794e7i 0.316896 + 0.975305i 0.974967 + 0.222350i \(0.0713726\pi\)
−0.658071 + 0.752956i \(0.728627\pi\)
\(740\) 2.23379e7 1.20791e6i 1.49956 0.0810880i
\(741\) 1.05634e6 3.25107e6i 0.0706736 0.217511i
\(742\) 5.89666e6 + 4.28417e6i 0.393184 + 0.285665i
\(743\) −6.93275e6 −0.460716 −0.230358 0.973106i \(-0.573990\pi\)
−0.230358 + 0.973106i \(0.573990\pi\)
\(744\) 2.98848e6 + 2.17126e6i 0.197933 + 0.143807i
\(745\) −5.55968e6 + 2.08878e7i −0.366994 + 1.37880i
\(746\) 3.80822e6 2.76684e6i 0.250539 0.182027i
\(747\) −1.42955e7 + 1.03863e7i −0.937340 + 0.681017i
\(748\) −4.00939e6 1.23396e7i −0.262014 0.806395i
\(749\) −1.86972e7 −1.21779
\(750\) −5.32122e6 + 870020.i −0.345428 + 0.0564776i
\(751\) 3.62153e6 0.234311 0.117155 0.993114i \(-0.462622\pi\)
0.117155 + 0.993114i \(0.462622\pi\)
\(752\) −1.95078e6 6.00388e6i −0.125795 0.387158i
\(753\) −2.65481e7 + 1.92883e7i −1.70626 + 1.23967i
\(754\) 352694. 256247.i 0.0225928 0.0164146i
\(755\) −2.83020e6 + 1.06331e7i −0.180696 + 0.678880i
\(756\) −4.13439e6 3.00381e6i −0.263092 0.191147i
\(757\) 1.83873e7 1.16621 0.583107 0.812395i \(-0.301837\pi\)
0.583107 + 0.812395i \(0.301837\pi\)
\(758\) 668095. + 485400.i 0.0422343 + 0.0306850i
\(759\) −2.96354e6 + 9.12083e6i −0.186727 + 0.574685i
\(760\) −2.67441e6 + 144618.i −0.167956 + 0.00908214i
\(761\) 153700. + 473039.i 0.00962080 + 0.0296098i 0.955752 0.294175i \(-0.0950447\pi\)
−0.946131 + 0.323784i \(0.895045\pi\)
\(762\) 1.28301e6 3.94869e6i 0.0800464 0.246357i
\(763\) 9.35205e6 2.87826e7i 0.581561 1.78986i
\(764\) 6.52176e6 + 2.00719e7i 0.404233 + 1.24410i
\(765\) −3.34673e6 8.67539e6i −0.206760 0.535964i
\(766\) 739328. 2.27542e6i 0.0455266 0.140116i
\(767\) −909992. 661148.i −0.0558533 0.0405798i
\(768\) 9.08870e6 0.556031
\(769\) 8.22155e6 + 5.97330e6i 0.501346 + 0.364249i 0.809531 0.587077i \(-0.199721\pi\)
−0.308185 + 0.951327i \(0.599721\pi\)
\(770\) 4.01936e6 + 1.04190e7i 0.244304 + 0.633284i
\(771\) 9.06228e6 6.58413e6i 0.549037 0.398899i
\(772\) −1.99872e7 + 1.45216e7i −1.20700 + 0.876940i
\(773\) 6.17330e6 + 1.89995e7i 0.371594 + 1.14365i 0.945748 + 0.324901i \(0.105331\pi\)
−0.574154 + 0.818747i \(0.694669\pi\)
\(774\) 2.17773e6 0.130662
\(775\) −2.47581e6 5.51138e6i −0.148069 0.329614i
\(776\) −734429. −0.0437820
\(777\) −2.20789e7 6.79518e7i −1.31197 4.03784i
\(778\) 5.11349e6 3.71517e6i 0.302878 0.220054i
\(779\) −5.12557e6 + 3.72394e6i −0.302620 + 0.219867i
\(780\) −8.29974e6 + 6.74387e6i −0.488459 + 0.396892i
\(781\) −1.16107e7 8.43565e6i −0.681130 0.494870i
\(782\) 933932. 0.0546133
\(783\) −553085. 401840.i −0.0322395 0.0234233i
\(784\) 1.17486e7 3.61584e7i 0.682644 2.10096i
\(785\) 3.44640e6 1.29482e7i 0.199615 0.749956i
\(786\) 3.11029e6 + 9.57247e6i 0.179574 + 0.552673i
\(787\) −3.58342e6 + 1.10286e7i −0.206234 + 0.634724i 0.793426 + 0.608667i \(0.208295\pi\)
−0.999660 + 0.0260575i \(0.991705\pi\)
\(788\) −2.36828e6 + 7.28881e6i −0.135868 + 0.418159i
\(789\) 3.33443e6 + 1.02623e7i 0.190690 + 0.586885i
\(790\) 3.68267e6 2.99231e6i 0.209940 0.170584i
\(791\) −9.63227e6 + 2.96451e7i −0.547378 + 1.68466i
\(792\) 8.42415e6 + 6.12050e6i 0.477214 + 0.346716i
\(793\) −3.04231e6 −0.171799
\(794\) −2.43482e6 1.76900e6i −0.137061 0.0995810i
\(795\) −2.00815e7 1.29937e7i −1.12688 0.729144i
\(796\) 1.17197e7 8.51486e6i 0.655592 0.476316i
\(797\) 1.22323e6 888728.i 0.0682122 0.0495591i −0.553157 0.833077i \(-0.686577\pi\)
0.621369 + 0.783518i \(0.286577\pi\)
\(798\) 1.27690e6 + 3.92989e6i 0.0709821 + 0.218460i
\(799\) 6.01833e6 0.333510
\(800\) 1.10286e7 + 6.31859e6i 0.609251 + 0.349056i
\(801\) −3.91749e6 −0.215738
\(802\) −1.95793e6 6.02588e6i −0.107488 0.330814i
\(803\) 8.59798e6 6.24680e6i 0.470552 0.341876i
\(804\) −1.96391e7 + 1.42686e7i −1.07147 + 0.778469i
\(805\) 1.14379e7 618501.i 0.622095 0.0336396i
\(806\) 680350. + 494303.i 0.0368888 + 0.0268013i
\(807\) 3.84102e7 2.07617
\(808\) −4.86495e6 3.53460e6i −0.262150 0.190463i
\(809\) 600991. 1.84966e6i 0.0322847 0.0993621i −0.933616 0.358276i \(-0.883365\pi\)
0.965900 + 0.258914i \(0.0833646\pi\)
\(810\) −4.47378e6 2.89474e6i −0.239586 0.155024i
\(811\) 5.03012e6 + 1.54811e7i 0.268550 + 0.826513i 0.990854 + 0.134937i \(0.0430833\pi\)
−0.722304 + 0.691576i \(0.756917\pi\)
\(812\) 2.32052e6 7.14182e6i 0.123508 0.380118i
\(813\) 2.51010e6 7.72531e6i 0.133188 0.409911i
\(814\) −3.29723e6 1.01478e7i −0.174417 0.536799i
\(815\) −1.43470e7 9.28320e6i −0.756603 0.489558i
\(816\) −4.29261e6 + 1.32113e7i −0.225681 + 0.694576i
\(817\) −3.08002e6 2.23777e6i −0.161435 0.117290i
\(818\) −3.29179e6 −0.172008
\(819\) 1.28421e7 + 9.33035e6i 0.669001 + 0.486058i
\(820\) 1.97914e7 1.07022e6i 1.02788 0.0555823i
\(821\) 1.99282e7 1.44787e7i 1.03183 0.749671i 0.0631589 0.998003i \(-0.479882\pi\)
0.968675 + 0.248332i \(0.0798825\pi\)
\(822\) −4.43092e6 + 3.21925e6i −0.228725 + 0.166179i
\(823\) −9.41538e6 2.89776e7i −0.484550 1.49129i −0.832632 0.553826i \(-0.813167\pi\)
0.348083 0.937464i \(-0.386833\pi\)
\(824\) −4.13541e6 −0.212178
\(825\) −1.50169e7 3.34290e7i −0.768150 1.70997i
\(826\) 1.35967e6 0.0693399
\(827\) 5.08602e6 + 1.56531e7i 0.258591 + 0.795862i 0.993101 + 0.117264i \(0.0374123\pi\)
−0.734509 + 0.678598i \(0.762588\pi\)
\(828\) 4.17395e6 3.03256e6i 0.211579 0.153721i
\(829\) 7.73751e6 5.62163e6i 0.391034 0.284103i −0.374845 0.927088i \(-0.622304\pi\)
0.765879 + 0.642984i \(0.222304\pi\)
\(830\) 5.69392e6 + 3.68424e6i 0.286891 + 0.185632i
\(831\) 1.95371e7 + 1.41946e7i 0.981428 + 0.713049i
\(832\) 6.17671e6 0.309349
\(833\) 2.93231e7 + 2.13045e7i 1.46419 + 1.06380i
\(834\) −344149. + 1.05918e6i −0.0171329 + 0.0527298i
\(835\) 1.23888e7 1.00664e7i 0.614913 0.499641i
\(836\) −2.71730e6 8.36298e6i −0.134469 0.413852i
\(837\) 407522. 1.25422e6i 0.0201065 0.0618816i
\(838\) −362728. + 1.11636e6i −0.0178431 + 0.0549155i
\(839\) 2.11387e6 + 6.50583e6i 0.103675 + 0.319078i 0.989417 0.145099i \(-0.0463500\pi\)
−0.885742 + 0.464177i \(0.846350\pi\)
\(840\) 6.88337e6 2.58610e7i 0.336591 1.26458i
\(841\) −6.02786e6 + 1.85519e7i −0.293882 + 0.904477i
\(842\) −1.43208e6 1.04046e6i −0.0696123 0.0505763i
\(843\) 1.59361e7 0.772347
\(844\) −2.41826e7 1.75697e7i −1.16855 0.849000i
\(845\) 1.21970e7 9.91058e6i 0.587642 0.477482i
\(846\) −1.88755e6 + 1.37139e6i −0.0906721 + 0.0658771i
\(847\) −2.87591e7 + 2.08947e7i −1.37742 + 1.00076i
\(848\) 5.13163e6 + 1.57935e7i 0.245056 + 0.754205i
\(849\) −3.02107e7 −1.43844
\(850\) −2.64421e6 + 2.39682e6i −0.125530 + 0.113786i
\(851\) −1.09445e7 −0.518050
\(852\) 5.13371e6 + 1.57999e7i 0.242288 + 0.745687i
\(853\) −1.87802e7 + 1.36446e7i −0.883746 + 0.642079i −0.934240 0.356645i \(-0.883921\pi\)
0.0504936 + 0.998724i \(0.483921\pi\)
\(854\) 2.97518e6 2.16160e6i 0.139595 0.101422i
\(855\) −2.26819e6 5.87960e6i −0.106112 0.275063i
\(856\) 5.41330e6 + 3.93299e6i 0.252510 + 0.183459i
\(857\) −3.46301e7 −1.61065 −0.805327 0.592831i \(-0.798010\pi\)
−0.805327 + 0.592831i \(0.798010\pi\)
\(858\) 4.12663e6 + 2.99817e6i 0.191372 + 0.139040i
\(859\) −1.50888e6 + 4.64387e6i −0.0697707 + 0.214732i −0.979862 0.199676i \(-0.936011\pi\)
0.910091 + 0.414408i \(0.136011\pi\)
\(860\) 4.28675e6 + 1.11121e7i 0.197643 + 0.512332i
\(861\) −1.95620e7 6.02055e7i −0.899300 2.76776i
\(862\) −922975. + 2.84063e6i −0.0423079 + 0.130210i
\(863\) 3.27436e6 1.00774e7i 0.149658 0.460599i −0.847923 0.530120i \(-0.822147\pi\)
0.997581 + 0.0695205i \(0.0221469\pi\)
\(864\) 857306. + 2.63852e6i 0.0390707 + 0.120247i
\(865\) 1.04047e7 562631.i 0.472813 0.0255672i
\(866\) −257674. + 793038.i −0.0116755 + 0.0359335i
\(867\) 1.37612e7 + 9.99810e6i 0.621740 + 0.451720i
\(868\) 1.44856e7 0.652586
\(869\) 2.60917e7 + 1.89567e7i 1.17207 + 0.851558i
\(870\) 444810. 1.67116e6i 0.0199240 0.0748548i
\(871\) −9.25572e6 + 6.72467e6i −0.413395 + 0.300349i
\(872\) −8.76214e6 + 6.36607e6i −0.390229 + 0.283518i
\(873\) −534003. 1.64349e6i −0.0237142 0.0729848i
\(874\) 632957. 0.0280282
\(875\) −3.07964e7 + 3.11051e7i −1.35982 + 1.37344i
\(876\) −1.23023e7 −0.541661
\(877\) 8.60061e6 + 2.64700e7i 0.377599 + 1.16213i 0.941709 + 0.336430i \(0.109219\pi\)
−0.564110 + 0.825700i \(0.690781\pi\)
\(878\) 3.85291e6 2.79930e6i 0.168676 0.122550i
\(879\) 5.42438e6 3.94104e6i 0.236798 0.172044i
\(880\) −6.54439e6 + 2.45874e7i −0.284880 + 1.07030i
\(881\) 1.17041e7 + 8.50356e6i 0.508043 + 0.369115i 0.812081 0.583545i \(-0.198335\pi\)
−0.304038 + 0.952660i \(0.598335\pi\)
\(882\) −1.40513e7 −0.608200
\(883\) 2.65917e6 + 1.93200e6i 0.114774 + 0.0833885i 0.643692 0.765285i \(-0.277402\pi\)
−0.528917 + 0.848673i \(0.677402\pi\)
\(884\) −2.18734e6 + 6.73195e6i −0.0941426 + 0.289741i
\(885\) −4.45540e6 + 240924.i −0.191218 + 0.0103400i
\(886\) 3.34161e6 + 1.02844e7i 0.143012 + 0.440144i
\(887\) 2.03125e6 6.25153e6i 0.0866869 0.266795i −0.898311 0.439360i \(-0.855205\pi\)
0.984998 + 0.172565i \(0.0552054\pi\)
\(888\) −7.90142e6 + 2.43181e7i −0.336258 + 1.03490i
\(889\) −1.04155e7 3.20557e7i −0.442005 1.36035i
\(890\) 541158. + 1.40279e6i 0.0229007 + 0.0593633i
\(891\) 1.11917e7 3.44446e7i 0.472284 1.45354i
\(892\) −8.53033e6 6.19765e6i −0.358966 0.260804i
\(893\) 4.07882e6 0.171162
\(894\) −9.65503e6 7.01479e6i −0.404026 0.293542i
\(895\) −1.61867e7 4.19593e7i −0.675464 1.75094i
\(896\) −3.24241e7 + 2.35575e7i −1.34927 + 0.980299i
\(897\) 4.23277e6 3.07529e6i 0.175648 0.127616i
\(898\) 676051. + 2.08067e6i 0.0279762 + 0.0861019i
\(899\) 1.93784e6 0.0799683
\(900\) −4.03489e6 + 1.92979e7i −0.166045 + 0.794152i
\(901\) −1.58315e7 −0.649697
\(902\) −2.92135e6 8.99100e6i −0.119555 0.367953i
\(903\) 3.07751e7 2.23594e7i 1.25597 0.912518i
\(904\) 9.02469e6 6.55682e6i 0.367292 0.266853i
\(905\) −1.60392e7 + 1.30325e7i −0.650969 + 0.528939i
\(906\) −4.91497e6 3.57094e6i −0.198930 0.144531i
\(907\) 1.86258e6 0.0751789 0.0375894 0.999293i \(-0.488032\pi\)
0.0375894 + 0.999293i \(0.488032\pi\)
\(908\) −2.89598e7 2.10405e7i −1.16568 0.846918i
\(909\) 4.37235e6 1.34567e7i 0.175511 0.540169i
\(910\) 1.56705e6 5.88745e6i 0.0627307 0.235680i
\(911\) −1.16821e7 3.59539e7i −0.466365 1.43532i −0.857257 0.514888i \(-0.827833\pi\)
0.390892 0.920437i \(-0.372167\pi\)
\(912\) −2.90925e6 + 8.95374e6i −0.115823 + 0.356465i
\(913\) −1.42441e7 + 4.38388e7i −0.565532 + 1.74053i
\(914\) 2.45770e6 + 7.56401e6i 0.0973111 + 0.299493i
\(915\) −9.36615e6 + 7.61037e6i −0.369835 + 0.300506i
\(916\) −1.05493e7 + 3.24673e7i −0.415416 + 1.27852i
\(917\) 6.61040e7 + 4.80273e7i 2.59600 + 1.88610i
\(918\) −778968. −0.0305079
\(919\) 4.61252e6 + 3.35119e6i 0.180156 + 0.130891i 0.674209 0.738541i \(-0.264485\pi\)
−0.494052 + 0.869432i \(0.664485\pi\)
\(920\) −3.44166e6 2.22692e6i −0.134060 0.0867430i
\(921\) −4.21115e7 + 3.05958e7i −1.63588 + 1.18854i
\(922\) 1.06367e7 7.72798e6i 0.412076 0.299391i
\(923\) 2.41948e6 + 7.44638e6i 0.0934796 + 0.287701i
\(924\) 8.78618e7 3.38548
\(925\) 3.09867e7 2.80877e7i 1.19075 1.07935i
\(926\) −4.08513e6 −0.156559
\(927\) −3.00686e6 9.25415e6i −0.114925 0.353702i
\(928\) −3.29807e6 + 2.39619e6i −0.125716 + 0.0913378i
\(929\) 3.79069e7 2.75410e7i 1.44105 1.04698i 0.453229 0.891394i \(-0.350272\pi\)
0.987822 0.155591i \(-0.0497281\pi\)
\(930\) 3.33105e6 180125.i 0.126291 0.00682917i
\(931\) 1.98733e7 + 1.44388e7i 0.751441 + 0.545954i
\(932\) 2.90300e6 0.109473
\(933\) 9.61104e6 + 6.98283e6i 0.361465 + 0.262620i
\(934\) −2.55076e6 + 7.85044e6i −0.0956760 + 0.294460i
\(935\) −2.03650e7 1.31771e7i −0.761827 0.492938i
\(936\) −1.75545e6 5.40273e6i −0.0654938 0.201569i
\(937\) −1.08256e6 + 3.33179e6i −0.0402814 + 0.123973i −0.969175 0.246373i \(-0.920761\pi\)
0.928894 + 0.370347i \(0.120761\pi\)
\(938\) 4.27354e6 1.31526e7i 0.158592 0.488096i
\(939\) −1.39434e7 4.29134e7i −0.516066 1.58829i
\(940\) −1.07133e7 6.93198e6i −0.395459 0.255881i
\(941\) −1.16832e6 + 3.59572e6i −0.0430119 + 0.132377i −0.970256 0.242079i \(-0.922171\pi\)
0.927245 + 0.374456i \(0.122171\pi\)
\(942\) 5.98509e6 + 4.34842e6i 0.219757 + 0.159663i
\(943\) −9.69685e6 −0.355101
\(944\) 2.50620e6 + 1.82086e6i 0.0915346 + 0.0665037i
\(945\) −9.54005e6 + 515875.i −0.347513 + 0.0187916i
\(946\) 4.59591e6 3.33913e6i 0.166972 0.121312i
\(947\) 1.00989e7 7.33732e6i 0.365933 0.265866i −0.389590 0.920989i \(-0.627383\pi\)
0.755522 + 0.655123i \(0.227383\pi\)
\(948\) −1.15366e7 3.55059e7i −0.416923 1.28316i
\(949\) −5.79799e6 −0.208983
\(950\) −1.79207e6 + 1.62440e6i −0.0644237 + 0.0583963i
\(951\) −1.26908e7 −0.455027
\(952\) −5.47365e6 1.68462e7i −0.195742 0.602433i
\(953\) −6.99699e6 + 5.08361e6i −0.249562 + 0.181318i −0.705533 0.708677i \(-0.749292\pi\)
0.455971 + 0.889995i \(0.349292\pi\)
\(954\) 4.96531e6 3.60751e6i 0.176634 0.128332i
\(955\) 3.31263e7 + 2.14342e7i 1.17534 + 0.760501i
\(956\) 9.23555e6 + 6.71002e6i 0.326827 + 0.237454i
\(957\) 1.17539e7 0.414859
\(958\) 539979. + 392318.i 0.0190092 + 0.0138110i
\(959\) −1.37395e7 + 4.22858e7i −0.482418 + 1.48473i
\(960\) 1.90158e7 1.54511e7i 0.665943 0.541105i
\(961\) −7.69176e6 2.36728e7i −0.268669 0.826877i
\(962\) −1.79882e6 + 5.53620e6i −0.0626686 + 0.192874i
\(963\) −4.86518e6 + 1.49735e7i −0.169057 + 0.520304i
\(964\) −5.73530e6 1.76514e7i −0.198776 0.611769i
\(965\) −1.18800e7 + 4.46335e7i −0.410676 + 1.54292i
\(966\) −1.95435e6 + 6.01487e6i −0.0673844 + 0.207388i
\(967\) −3.05297e7 2.21811e7i −1.04992 0.762811i −0.0777222 0.996975i \(-0.524765\pi\)
−0.972197 + 0.234164i \(0.924765\pi\)
\(968\) 1.27217e7 0.436373
\(969\) −7.26115e6 5.27554e6i −0.248426 0.180492i
\(970\) −514742. + 418249.i −0.0175655 + 0.0142727i
\(971\) 2.06768e7 1.50226e7i 0.703777 0.511324i −0.177383 0.984142i \(-0.556763\pi\)
0.881160 + 0.472818i \(0.156763\pi\)
\(972\) −2.99077e7 + 2.17292e7i −1.01535 + 0.737698i
\(973\) 2.79382e6 + 8.59850e6i 0.0946056 + 0.291166i
\(974\) −1.13129e7 −0.382100
\(975\) −4.09174e6 + 1.95698e7i −0.137847 + 0.659288i
\(976\) 8.37878e6 0.281550
\(977\) −1.51897e7 4.67491e7i −0.509112 1.56689i −0.793746 0.608249i \(-0.791872\pi\)
0.284634 0.958636i \(-0.408128\pi\)
\(978\) 7.63308e6 5.54576e6i 0.255184 0.185402i
\(979\) −8.26754e6 + 6.00672e6i −0.275689 + 0.200300i
\(980\) −2.76594e7 7.16989e7i −0.919980 2.38477i
\(981\) −2.06168e7 1.49790e7i −0.683990 0.496948i
\(982\) 1.40870e7 0.466166
\(983\) 2.75230e7 + 1.99966e7i 0.908473 + 0.660044i 0.940628 0.339439i \(-0.110237\pi\)
−0.0321555 + 0.999483i \(0.510237\pi\)
\(984\) −7.00069e6 + 2.15459e7i −0.230490 + 0.709377i
\(985\) 5.15687e6 + 1.33676e7i 0.169354 + 0.439000i
\(986\) −353712. 1.08861e6i −0.0115866 0.0356600i
\(987\) −1.25940e7 + 3.87603e7i −0.411500 + 1.26647i
\(988\) −1.48243e6 + 4.56247e6i −0.0483151 + 0.148699i
\(989\) −1.80063e6 5.54178e6i −0.0585375 0.180160i
\(990\) 9.38983e6 507752.i 0.304488 0.0164651i
\(991\) 9.97791e6 3.07088e7i 0.322742 0.993298i −0.649708 0.760184i \(-0.725109\pi\)
0.972450 0.233113i \(-0.0748913\pi\)
\(992\) −6.36200e6 4.62226e6i −0.205265 0.149134i
\(993\) 5.90875e7 1.90161
\(994\) −7.65684e6 5.56302e6i −0.245801 0.178585i
\(995\) 6.96599e6 2.61713e7i 0.223062 0.838047i
\(996\) 4.31677e7 3.13632e7i 1.37883 1.00178i
\(997\) −4.54680e6 + 3.30344e6i −0.144867 + 0.105252i −0.657858 0.753142i \(-0.728537\pi\)
0.512991 + 0.858394i \(0.328537\pi\)
\(998\) 2.90649e6 + 8.94527e6i 0.0923726 + 0.284294i
\(999\) 9.12850e6 0.289391
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 25.6.d.a.6.6 44
25.11 even 5 625.6.a.d.1.11 22
25.14 even 10 625.6.a.c.1.12 22
25.21 even 5 inner 25.6.d.a.21.6 yes 44
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
25.6.d.a.6.6 44 1.1 even 1 trivial
25.6.d.a.21.6 yes 44 25.21 even 5 inner
625.6.a.c.1.12 22 25.14 even 10
625.6.a.d.1.11 22 25.11 even 5