Properties

Label 49.4.g.a.2.13
Level $49$
Weight $4$
Character 49.2
Analytic conductor $2.891$
Analytic rank $0$
Dimension $156$
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] = [49,4,Mod(2,49)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(49, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([26]))
 
N = Newforms(chi, 4, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("49.2");
 
S:= CuspForms(chi, 4);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 49 = 7^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 49.g (of order \(21\), degree \(12\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(2.89109359028\)
Analytic rank: \(0\)
Dimension: \(156\)
Relative dimension: \(13\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 2.13
Character \(\chi\) \(=\) 49.2
Dual form 49.4.g.a.25.13

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(5.05101 + 1.55803i) q^{2} +(2.29854 - 5.85659i) q^{3} +(16.4753 + 11.2327i) q^{4} +(-16.6099 + 2.50354i) q^{5} +(20.7347 - 26.0005i) q^{6} +(-18.4107 - 2.01144i) q^{7} +(39.3507 + 49.3442i) q^{8} +(-9.22394 - 8.55857i) q^{9} +O(q^{10})\) \(q+(5.05101 + 1.55803i) q^{2} +(2.29854 - 5.85659i) q^{3} +(16.4753 + 11.2327i) q^{4} +(-16.6099 + 2.50354i) q^{5} +(20.7347 - 26.0005i) q^{6} +(-18.4107 - 2.01144i) q^{7} +(39.3507 + 49.3442i) q^{8} +(-9.22394 - 8.55857i) q^{9} +(-87.7972 - 13.2333i) q^{10} +(14.9440 - 13.8660i) q^{11} +(103.654 - 70.6703i) q^{12} +(6.40934 + 28.0812i) q^{13} +(-89.8587 - 38.8442i) q^{14} +(-23.5163 + 103.032i) q^{15} +(63.6013 + 162.054i) q^{16} +(3.00214 + 40.0607i) q^{17} +(-33.2557 - 57.6006i) q^{18} +(33.6752 - 58.3272i) q^{19} +(-301.774 - 145.327i) q^{20} +(-54.0980 + 103.201i) q^{21} +(97.0856 - 46.7539i) q^{22} +(12.9187 - 172.388i) q^{23} +(379.438 - 117.041i) q^{24} +(150.174 - 46.3225i) q^{25} +(-11.3776 + 151.824i) q^{26} +(81.7223 - 39.3554i) q^{27} +(-280.728 - 239.941i) q^{28} +(-157.641 - 75.9160i) q^{29} +(-279.308 + 483.775i) q^{30} +(24.6449 + 42.6862i) q^{31} +(31.0347 + 414.129i) q^{32} +(-46.8579 - 119.392i) q^{33} +(-47.2520 + 207.024i) q^{34} +(310.835 - 12.6821i) q^{35} +(-55.8317 - 244.615i) q^{36} +(-249.683 + 170.231i) q^{37} +(260.969 - 242.144i) q^{38} +(179.192 + 27.0088i) q^{39} +(-777.145 - 721.085i) q^{40} +(232.572 + 291.636i) q^{41} +(-434.039 + 436.981i) q^{42} +(-147.229 + 184.619i) q^{43} +(401.958 - 60.5854i) q^{44} +(174.635 + 119.064i) q^{45} +(333.839 - 850.607i) q^{46} +(28.2706 + 8.72034i) q^{47} +1095.27 q^{48} +(334.908 + 74.0641i) q^{49} +830.700 q^{50} +(241.520 + 74.4990i) q^{51} +(-209.831 + 534.639i) q^{52} +(15.3647 + 10.4755i) q^{53} +(474.097 - 71.4586i) q^{54} +(-213.503 + 267.725i) q^{55} +(-625.221 - 987.613i) q^{56} +(-264.194 - 331.289i) q^{57} +(-677.968 - 629.062i) q^{58} +(-378.391 - 57.0333i) q^{59} +(-1544.76 + 1433.33i) q^{60} +(33.2801 - 22.6900i) q^{61} +(57.9752 + 254.006i) q^{62} +(152.604 + 176.123i) q^{63} +(-178.564 + 782.339i) q^{64} +(-176.761 - 450.378i) q^{65} +(-50.6634 - 676.056i) q^{66} +(411.708 + 713.099i) q^{67} +(-400.528 + 693.735i) q^{68} +(-979.914 - 471.902i) q^{69} +(1589.79 + 420.233i) q^{70} +(259.011 - 124.733i) q^{71} +(59.3472 - 791.934i) q^{72} +(197.744 - 60.9959i) q^{73} +(-1526.38 + 470.825i) q^{74} +(73.8890 - 985.980i) q^{75} +(1209.98 - 582.695i) q^{76} +(-303.019 + 225.223i) q^{77} +(863.019 + 415.608i) q^{78} +(-278.943 + 483.143i) q^{79} +(-1462.12 - 2532.46i) q^{80} +(-68.0349 - 907.863i) q^{81} +(720.346 + 1835.41i) q^{82} +(69.5241 - 304.605i) q^{83} +(-2050.50 + 1092.60i) q^{84} +(-150.159 - 657.888i) q^{85} +(-1031.30 + 703.126i) q^{86} +(-806.954 + 748.744i) q^{87} +(1272.26 + 191.762i) q^{88} +(-418.521 - 388.330i) q^{89} +(696.578 + 873.481i) q^{90} +(-61.5169 - 529.886i) q^{91} +(2149.22 - 2695.04i) q^{92} +(306.643 - 46.2190i) q^{93} +(129.209 + 88.0930i) q^{94} +(-413.317 + 1053.11i) q^{95} +(2496.72 + 770.136i) q^{96} -520.443 q^{97} +(1576.23 + 895.895i) q^{98} -256.515 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 156 q - 13 q^{2} - 7 q^{3} + 35 q^{4} - 7 q^{5} - 70 q^{6} - 42 q^{7} + 16 q^{8} + 198 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 156 q - 13 q^{2} - 7 q^{3} + 35 q^{4} - 7 q^{5} - 70 q^{6} - 42 q^{7} + 16 q^{8} + 198 q^{9} + 85 q^{11} - 427 q^{12} + 14 q^{13} - 203 q^{14} + 230 q^{15} + 127 q^{16} + 189 q^{17} - 16 q^{18} - 490 q^{19} - 406 q^{20} + 231 q^{21} + 590 q^{22} - 377 q^{23} - 812 q^{24} + 142 q^{25} + 490 q^{26} + 14 q^{27} - 280 q^{28} + 172 q^{29} - 39 q^{30} - 1162 q^{31} - 1099 q^{32} - 49 q^{33} + 882 q^{34} + 847 q^{35} + 812 q^{36} - 377 q^{37} - 1596 q^{38} - 770 q^{39} - 1694 q^{40} - 938 q^{41} - 3290 q^{42} - 10 q^{43} + 4354 q^{44} + 1176 q^{45} + 3408 q^{46} + 1379 q^{47} + 9604 q^{48} + 2576 q^{49} - 6184 q^{50} + 2271 q^{51} + 6874 q^{52} + 1905 q^{53} + 1617 q^{54} - 1834 q^{55} + 1736 q^{56} + 2673 q^{57} - 4716 q^{58} + 63 q^{59} - 10850 q^{60} - 2625 q^{61} - 4298 q^{62} - 1806 q^{63} - 2756 q^{64} - 196 q^{65} + 2100 q^{66} - 202 q^{67} - 5635 q^{68} - 3248 q^{69} + 6650 q^{70} + 2608 q^{71} - 6424 q^{72} - 2471 q^{73} + 2582 q^{74} + 3612 q^{75} - 4529 q^{76} - 1281 q^{77} + 5040 q^{78} - 608 q^{79} - 12348 q^{80} - 17375 q^{81} - 3234 q^{82} - 9842 q^{83} - 11564 q^{84} - 512 q^{85} - 2301 q^{86} + 2254 q^{87} + 4033 q^{88} + 4977 q^{89} + 18312 q^{90} - 8932 q^{91} + 7714 q^{92} + 14164 q^{93} + 2506 q^{94} + 11504 q^{95} + 12642 q^{96} + 11116 q^{97} + 29771 q^{98} - 10804 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{13}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 5.05101 + 1.55803i 1.78580 + 0.550847i 0.997889 0.0649420i \(-0.0206862\pi\)
0.787911 + 0.615788i \(0.211162\pi\)
\(3\) 2.29854 5.85659i 0.442355 1.12710i −0.519725 0.854333i \(-0.673966\pi\)
0.962080 0.272768i \(-0.0879390\pi\)
\(4\) 16.4753 + 11.2327i 2.05941 + 1.40408i
\(5\) −16.6099 + 2.50354i −1.48563 + 0.223923i −0.841194 0.540733i \(-0.818147\pi\)
−0.644438 + 0.764656i \(0.722909\pi\)
\(6\) 20.7347 26.0005i 1.41082 1.76911i
\(7\) −18.4107 2.01144i −0.994085 0.108608i
\(8\) 39.3507 + 49.3442i 1.73907 + 2.18073i
\(9\) −9.22394 8.55857i −0.341628 0.316984i
\(10\) −87.7972 13.2333i −2.77639 0.418474i
\(11\) 14.9440 13.8660i 0.409616 0.380068i −0.448279 0.893894i \(-0.647963\pi\)
0.857894 + 0.513826i \(0.171772\pi\)
\(12\) 103.654 70.6703i 2.49354 1.70006i
\(13\) 6.40934 + 28.0812i 0.136741 + 0.599101i 0.996139 + 0.0877933i \(0.0279815\pi\)
−0.859398 + 0.511307i \(0.829161\pi\)
\(14\) −89.8587 38.8442i −1.71541 0.741540i
\(15\) −23.5163 + 103.032i −0.404792 + 1.77351i
\(16\) 63.6013 + 162.054i 0.993771 + 2.53209i
\(17\) 3.00214 + 40.0607i 0.0428309 + 0.571539i 0.976796 + 0.214173i \(0.0687058\pi\)
−0.933965 + 0.357365i \(0.883675\pi\)
\(18\) −33.2557 57.6006i −0.435469 0.754255i
\(19\) 33.6752 58.3272i 0.406612 0.704272i −0.587896 0.808937i \(-0.700044\pi\)
0.994508 + 0.104664i \(0.0333769\pi\)
\(20\) −301.774 145.327i −3.37394 1.62480i
\(21\) −54.0980 + 103.201i −0.562150 + 1.07239i
\(22\) 97.0856 46.7539i 0.940851 0.453090i
\(23\) 12.9187 172.388i 0.117119 1.56285i −0.560951 0.827849i \(-0.689564\pi\)
0.678070 0.734997i \(-0.262817\pi\)
\(24\) 379.438 117.041i 3.22719 0.995455i
\(25\) 150.174 46.3225i 1.20139 0.370580i
\(26\) −11.3776 + 151.824i −0.0858207 + 1.14520i
\(27\) 81.7223 39.3554i 0.582499 0.280517i
\(28\) −280.728 239.941i −1.89474 1.61945i
\(29\) −157.641 75.9160i −1.00942 0.486112i −0.145297 0.989388i \(-0.546414\pi\)
−0.864126 + 0.503276i \(0.832128\pi\)
\(30\) −279.308 + 483.775i −1.69981 + 2.94416i
\(31\) 24.6449 + 42.6862i 0.142786 + 0.247312i 0.928545 0.371221i \(-0.121061\pi\)
−0.785759 + 0.618533i \(0.787727\pi\)
\(32\) 31.0347 + 414.129i 0.171444 + 2.28776i
\(33\) −46.8579 119.392i −0.247179 0.629803i
\(34\) −47.2520 + 207.024i −0.238343 + 1.04425i
\(35\) 310.835 12.6821i 1.50116 0.0612475i
\(36\) −55.8317 244.615i −0.258480 1.13247i
\(37\) −249.683 + 170.231i −1.10940 + 0.756374i −0.972196 0.234169i \(-0.924763\pi\)
−0.137201 + 0.990543i \(0.543811\pi\)
\(38\) 260.969 242.144i 1.11407 1.03371i
\(39\) 179.192 + 27.0088i 0.735735 + 0.110894i
\(40\) −777.145 721.085i −3.07194 2.85034i
\(41\) 232.572 + 291.636i 0.885894 + 1.11088i 0.993173 + 0.116648i \(0.0372148\pi\)
−0.107279 + 0.994229i \(0.534214\pi\)
\(42\) −434.039 + 436.981i −1.59461 + 1.60542i
\(43\) −147.229 + 184.619i −0.522145 + 0.654749i −0.971063 0.238824i \(-0.923238\pi\)
0.448918 + 0.893573i \(0.351809\pi\)
\(44\) 401.958 60.5854i 1.37721 0.207582i
\(45\) 174.635 + 119.064i 0.578513 + 0.394424i
\(46\) 333.839 850.607i 1.07004 2.72642i
\(47\) 28.2706 + 8.72034i 0.0877382 + 0.0270637i 0.338314 0.941033i \(-0.390144\pi\)
−0.250575 + 0.968097i \(0.580620\pi\)
\(48\) 1095.27 3.29352
\(49\) 334.908 + 74.0641i 0.976409 + 0.215930i
\(50\) 830.700 2.34958
\(51\) 241.520 + 74.4990i 0.663128 + 0.204548i
\(52\) −209.831 + 534.639i −0.559582 + 1.42579i
\(53\) 15.3647 + 10.4755i 0.0398209 + 0.0271494i 0.583067 0.812424i \(-0.301853\pi\)
−0.543246 + 0.839574i \(0.682805\pi\)
\(54\) 474.097 71.4586i 1.19475 0.180079i
\(55\) −213.503 + 267.725i −0.523432 + 0.656363i
\(56\) −625.221 987.613i −1.49194 2.35670i
\(57\) −264.194 331.289i −0.613919 0.769831i
\(58\) −677.968 629.062i −1.53485 1.42414i
\(59\) −378.391 57.0333i −0.834955 0.125849i −0.282370 0.959306i \(-0.591121\pi\)
−0.552585 + 0.833456i \(0.686359\pi\)
\(60\) −1544.76 + 1433.33i −3.32379 + 3.08403i
\(61\) 33.2801 22.6900i 0.0698538 0.0476255i −0.527890 0.849313i \(-0.677017\pi\)
0.597743 + 0.801687i \(0.296064\pi\)
\(62\) 57.9752 + 254.006i 0.118756 + 0.520303i
\(63\) 152.604 + 176.123i 0.305180 + 0.352212i
\(64\) −178.564 + 782.339i −0.348758 + 1.52801i
\(65\) −176.761 450.378i −0.337299 0.859424i
\(66\) −50.6634 676.056i −0.0944884 1.26086i
\(67\) 411.708 + 713.099i 0.750719 + 1.30028i 0.947475 + 0.319830i \(0.103626\pi\)
−0.196756 + 0.980452i \(0.563041\pi\)
\(68\) −400.528 + 693.735i −0.714282 + 1.23717i
\(69\) −979.914 471.902i −1.70968 0.823338i
\(70\) 1589.79 + 420.233i 2.71452 + 0.717535i
\(71\) 259.011 124.733i 0.432942 0.208494i −0.204703 0.978824i \(-0.565623\pi\)
0.637645 + 0.770330i \(0.279909\pi\)
\(72\) 59.3472 791.934i 0.0971408 1.29625i
\(73\) 197.744 60.9959i 0.317043 0.0977950i −0.132149 0.991230i \(-0.542188\pi\)
0.449193 + 0.893435i \(0.351712\pi\)
\(74\) −1526.38 + 470.825i −2.39781 + 0.739626i
\(75\) 73.8890 985.980i 0.113760 1.51802i
\(76\) 1209.98 582.695i 1.82624 0.879470i
\(77\) −303.019 + 225.223i −0.448471 + 0.333332i
\(78\) 863.019 + 415.608i 1.25279 + 0.603312i
\(79\) −278.943 + 483.143i −0.397260 + 0.688074i −0.993387 0.114816i \(-0.963372\pi\)
0.596127 + 0.802890i \(0.296705\pi\)
\(80\) −1462.12 2532.46i −2.04337 3.53922i
\(81\) −68.0349 907.863i −0.0933264 1.24535i
\(82\) 720.346 + 1835.41i 0.970108 + 2.47180i
\(83\) 69.5241 304.605i 0.0919429 0.402828i −0.907924 0.419135i \(-0.862334\pi\)
0.999867 + 0.0163063i \(0.00519069\pi\)
\(84\) −2050.50 + 1092.60i −2.66343 + 1.41919i
\(85\) −150.159 657.888i −0.191612 0.839506i
\(86\) −1031.30 + 703.126i −1.29311 + 0.881629i
\(87\) −806.954 + 748.744i −0.994420 + 0.922687i
\(88\) 1272.26 + 191.762i 1.54117 + 0.232295i
\(89\) −418.521 388.330i −0.498462 0.462505i 0.390423 0.920636i \(-0.372329\pi\)
−0.888885 + 0.458131i \(0.848519\pi\)
\(90\) 696.578 + 873.481i 0.815842 + 1.02303i
\(91\) −61.5169 529.886i −0.0708651 0.610408i
\(92\) 2149.22 2695.04i 2.43556 3.05410i
\(93\) 306.643 46.2190i 0.341907 0.0515342i
\(94\) 129.209 + 88.0930i 0.141775 + 0.0966606i
\(95\) −413.317 + 1053.11i −0.446373 + 1.13734i
\(96\) 2496.72 + 770.136i 2.65438 + 0.818767i
\(97\) −520.443 −0.544773 −0.272386 0.962188i \(-0.587813\pi\)
−0.272386 + 0.962188i \(0.587813\pi\)
\(98\) 1576.23 + 895.895i 1.62473 + 0.923460i
\(99\) −256.515 −0.260411
\(100\) 2994.48 + 923.676i 2.99448 + 0.923676i
\(101\) 75.0961 191.342i 0.0739836 0.188507i −0.889098 0.457717i \(-0.848667\pi\)
0.963082 + 0.269210i \(0.0867625\pi\)
\(102\) 1103.85 + 752.590i 1.07154 + 0.730564i
\(103\) −1482.91 + 223.512i −1.41859 + 0.213818i −0.813143 0.582065i \(-0.802245\pi\)
−0.605450 + 0.795883i \(0.707007\pi\)
\(104\) −1133.43 + 1421.28i −1.06867 + 1.34007i
\(105\) 640.194 1849.59i 0.595015 1.71906i
\(106\) 61.2863 + 76.8505i 0.0561571 + 0.0704187i
\(107\) −667.992 619.806i −0.603525 0.559989i 0.318107 0.948055i \(-0.396953\pi\)
−0.921632 + 0.388065i \(0.873143\pi\)
\(108\) 1788.47 + 269.568i 1.59347 + 0.240178i
\(109\) 1072.75 995.362i 0.942664 0.874664i −0.0496055 0.998769i \(-0.515796\pi\)
0.992269 + 0.124105i \(0.0396059\pi\)
\(110\) −1495.53 + 1019.63i −1.29630 + 0.883803i
\(111\) 423.067 + 1853.58i 0.361763 + 1.58499i
\(112\) −844.984 3111.45i −0.712888 2.62504i
\(113\) 228.334 1000.40i 0.190087 0.832827i −0.786480 0.617616i \(-0.788099\pi\)
0.976567 0.215212i \(-0.0690441\pi\)
\(114\) −818.289 2084.97i −0.672279 1.71294i
\(115\) 217.002 + 2895.69i 0.175961 + 2.34804i
\(116\) −1744.45 3021.47i −1.39627 2.41842i
\(117\) 181.215 313.874i 0.143191 0.248014i
\(118\) −1822.40 877.620i −1.42174 0.684674i
\(119\) 25.3084 743.585i 0.0194959 0.572810i
\(120\) −6009.40 + 2893.98i −4.57151 + 2.20152i
\(121\) −68.4089 + 912.854i −0.0513966 + 0.685841i
\(122\) 203.450 62.7559i 0.150979 0.0465709i
\(123\) 2242.57 691.742i 1.64395 0.507091i
\(124\) −73.4480 + 980.096i −0.0531922 + 0.709800i
\(125\) −486.646 + 234.356i −0.348215 + 0.167692i
\(126\) 496.401 + 1127.36i 0.350975 + 0.797088i
\(127\) 1348.22 + 649.267i 0.942007 + 0.453647i 0.840877 0.541227i \(-0.182040\pi\)
0.101130 + 0.994873i \(0.467754\pi\)
\(128\) −459.674 + 796.178i −0.317420 + 0.549788i
\(129\) 742.828 + 1286.62i 0.506995 + 0.878141i
\(130\) −191.116 2550.26i −0.128938 1.72056i
\(131\) −535.998 1365.70i −0.357484 0.910853i −0.990599 0.136796i \(-0.956320\pi\)
0.633116 0.774057i \(-0.281776\pi\)
\(132\) 569.093 2493.36i 0.375252 1.64408i
\(133\) −737.306 + 1006.11i −0.480696 + 0.655945i
\(134\) 968.511 + 4243.32i 0.624377 + 2.73558i
\(135\) −1258.87 + 858.283i −0.802565 + 0.547180i
\(136\) −1858.63 + 1724.56i −1.17188 + 1.08735i
\(137\) −221.047 33.3174i −0.137849 0.0207774i 0.0797554 0.996814i \(-0.474586\pi\)
−0.217604 + 0.976037i \(0.569824\pi\)
\(138\) −4214.32 3910.31i −2.59961 2.41209i
\(139\) −585.383 734.048i −0.357206 0.447922i 0.570465 0.821322i \(-0.306763\pi\)
−0.927670 + 0.373401i \(0.878192\pi\)
\(140\) 5263.56 + 3282.57i 3.17751 + 1.98163i
\(141\) 116.053 145.525i 0.0693149 0.0869181i
\(142\) 1502.60 226.481i 0.887997 0.133844i
\(143\) 485.153 + 330.772i 0.283710 + 0.193430i
\(144\) 800.291 2039.11i 0.463131 1.18004i
\(145\) 2808.46 + 866.295i 1.60848 + 0.496151i
\(146\) 1093.84 0.620046
\(147\) 1203.56 1791.18i 0.675294 1.00499i
\(148\) −6025.76 −3.34672
\(149\) −1372.19 423.266i −0.754460 0.232720i −0.106415 0.994322i \(-0.533937\pi\)
−0.648045 + 0.761602i \(0.724413\pi\)
\(150\) 1909.40 4865.07i 1.03935 2.64821i
\(151\) 1271.71 + 867.034i 0.685364 + 0.467273i 0.855267 0.518188i \(-0.173393\pi\)
−0.169903 + 0.985461i \(0.554346\pi\)
\(152\) 4203.25 633.538i 2.24295 0.338071i
\(153\) 315.171 395.212i 0.166536 0.208830i
\(154\) −1881.46 + 665.491i −0.984494 + 0.348226i
\(155\) −516.215 647.313i −0.267506 0.335442i
\(156\) 2648.86 + 2457.78i 1.35948 + 1.26141i
\(157\) −766.175 115.482i −0.389474 0.0587038i −0.0486137 0.998818i \(-0.515480\pi\)
−0.340861 + 0.940114i \(0.610718\pi\)
\(158\) −2161.69 + 2005.76i −1.08845 + 1.00993i
\(159\) 96.6672 65.9066i 0.0482151 0.0328725i
\(160\) −1552.27 6800.94i −0.766986 3.36038i
\(161\) −584.592 + 3147.81i −0.286163 + 1.54088i
\(162\) 1070.83 4691.62i 0.519337 2.27536i
\(163\) 1327.82 + 3383.24i 0.638056 + 1.62574i 0.772644 + 0.634840i \(0.218934\pi\)
−0.134588 + 0.990902i \(0.542971\pi\)
\(164\) 555.843 + 7417.20i 0.264659 + 3.53162i
\(165\) 1077.21 + 1865.78i 0.508245 + 0.880306i
\(166\) 825.750 1430.24i 0.386088 0.668724i
\(167\) 1545.31 + 744.183i 0.716047 + 0.344830i 0.756179 0.654364i \(-0.227064\pi\)
−0.0401325 + 0.999194i \(0.512778\pi\)
\(168\) −7221.14 + 1391.59i −3.31621 + 0.639069i
\(169\) 1231.96 593.279i 0.560745 0.270041i
\(170\) 266.556 3556.95i 0.120259 1.60474i
\(171\) −809.815 + 249.795i −0.362153 + 0.111709i
\(172\) −4499.41 + 1387.88i −1.99463 + 0.615263i
\(173\) −4.30093 + 57.3919i −0.00189014 + 0.0252221i −0.998069 0.0621131i \(-0.980216\pi\)
0.996179 + 0.0873352i \(0.0278351\pi\)
\(174\) −5242.49 + 2524.65i −2.28409 + 1.09996i
\(175\) −2857.98 + 550.764i −1.23453 + 0.237908i
\(176\) 3197.48 + 1539.83i 1.36943 + 0.659482i
\(177\) −1203.77 + 2084.99i −0.511191 + 0.885409i
\(178\) −1508.92 2613.53i −0.635384 1.10052i
\(179\) −315.397 4208.68i −0.131698 1.75738i −0.537355 0.843356i \(-0.680577\pi\)
0.405658 0.914025i \(-0.367043\pi\)
\(180\) 1539.76 + 3923.24i 0.637593 + 1.62456i
\(181\) 930.967 4078.83i 0.382311 1.67501i −0.307912 0.951415i \(-0.599630\pi\)
0.690222 0.723597i \(-0.257513\pi\)
\(182\) 514.856 2772.30i 0.209690 1.12910i
\(183\) −56.3903 247.062i −0.0227786 0.0997997i
\(184\) 9014.73 6146.14i 3.61182 2.46250i
\(185\) 3721.03 3452.61i 1.47879 1.37211i
\(186\) 1620.87 + 244.306i 0.638966 + 0.0963086i
\(187\) 600.344 + 557.038i 0.234768 + 0.217832i
\(188\) 367.815 + 461.225i 0.142690 + 0.178927i
\(189\) −1583.73 + 560.181i −0.609519 + 0.215593i
\(190\) −3728.45 + 4675.33i −1.42363 + 1.78518i
\(191\) 854.513 128.797i 0.323720 0.0487929i 0.0148277 0.999890i \(-0.495280\pi\)
0.308892 + 0.951097i \(0.400042\pi\)
\(192\) 4171.40 + 2844.02i 1.56794 + 1.06901i
\(193\) −488.620 + 1244.98i −0.182236 + 0.464331i −0.992575 0.121631i \(-0.961188\pi\)
0.810339 + 0.585961i \(0.199283\pi\)
\(194\) −2628.76 810.865i −0.972855 0.300086i
\(195\) −3043.97 −1.11786
\(196\) 4685.78 + 4982.14i 1.70764 + 1.81565i
\(197\) −4772.10 −1.72588 −0.862940 0.505306i \(-0.831379\pi\)
−0.862940 + 0.505306i \(0.831379\pi\)
\(198\) −1295.66 399.658i −0.465043 0.143447i
\(199\) 76.9606 196.092i 0.0274150 0.0698524i −0.916511 0.400010i \(-0.869007\pi\)
0.943926 + 0.330158i \(0.107102\pi\)
\(200\) 8195.19 + 5587.38i 2.89744 + 1.97544i
\(201\) 5122.66 772.116i 1.79763 0.270950i
\(202\) 677.427 849.466i 0.235958 0.295882i
\(203\) 2749.59 + 1714.75i 0.950656 + 0.592868i
\(204\) 3142.29 + 3940.31i 1.07845 + 1.35234i
\(205\) −4593.12 4261.79i −1.56486 1.45198i
\(206\) −7838.41 1181.45i −2.65111 0.399590i
\(207\) −1594.56 + 1479.54i −0.535408 + 0.496786i
\(208\) −4143.01 + 2824.65i −1.38109 + 0.941608i
\(209\) −305.522 1338.58i −0.101117 0.443021i
\(210\) 6115.33 8344.82i 2.00951 2.74213i
\(211\) −907.461 + 3975.85i −0.296077 + 1.29720i 0.579838 + 0.814732i \(0.303116\pi\)
−0.875915 + 0.482466i \(0.839741\pi\)
\(212\) 135.471 + 345.174i 0.0438876 + 0.111824i
\(213\) −135.163 1803.62i −0.0434798 0.580198i
\(214\) −2408.35 4171.39i −0.769307 1.33248i
\(215\) 1983.25 3435.10i 0.629102 1.08964i
\(216\) 5157.79 + 2483.86i 1.62474 + 0.782432i
\(217\) −367.869 835.455i −0.115081 0.261357i
\(218\) 6969.25 3356.21i 2.16521 1.04271i
\(219\) 97.2946 1298.31i 0.0300208 0.400600i
\(220\) −6524.79 + 2012.63i −1.99955 + 0.616780i
\(221\) −1105.71 + 341.066i −0.336553 + 0.103813i
\(222\) −751.013 + 10021.6i −0.227048 + 3.02975i
\(223\) 1069.82 515.197i 0.321257 0.154709i −0.266304 0.963889i \(-0.585802\pi\)
0.587561 + 0.809180i \(0.300088\pi\)
\(224\) 261.626 7686.83i 0.0780385 2.29285i
\(225\) −1781.65 857.997i −0.527896 0.254221i
\(226\) 2711.97 4697.26i 0.798218 1.38255i
\(227\) 1447.87 + 2507.79i 0.423342 + 0.733250i 0.996264 0.0863602i \(-0.0275236\pi\)
−0.572922 + 0.819610i \(0.694190\pi\)
\(228\) −631.419 8425.70i −0.183407 2.44739i
\(229\) 1424.46 + 3629.46i 0.411052 + 1.04734i 0.975132 + 0.221623i \(0.0711354\pi\)
−0.564081 + 0.825720i \(0.690769\pi\)
\(230\) −3415.50 + 14964.3i −0.979179 + 4.29006i
\(231\) 622.537 + 2292.34i 0.177316 + 0.652923i
\(232\) −2457.28 10766.0i −0.695380 3.04666i
\(233\) −2114.12 + 1441.38i −0.594423 + 0.405271i −0.822824 0.568297i \(-0.807603\pi\)
0.228401 + 0.973567i \(0.426650\pi\)
\(234\) 1404.34 1303.04i 0.392328 0.364027i
\(235\) −491.404 74.0672i −0.136407 0.0205600i
\(236\) −5593.48 5189.99i −1.54281 1.43152i
\(237\) 2188.41 + 2744.18i 0.599799 + 0.752125i
\(238\) 1286.36 3716.42i 0.350346 1.01218i
\(239\) 144.869 181.660i 0.0392083 0.0491657i −0.761841 0.647764i \(-0.775704\pi\)
0.801049 + 0.598599i \(0.204276\pi\)
\(240\) −18192.3 + 2742.05i −4.89296 + 0.737494i
\(241\) 2013.35 + 1372.68i 0.538137 + 0.366896i 0.801681 0.597751i \(-0.203939\pi\)
−0.263544 + 0.964647i \(0.584891\pi\)
\(242\) −1767.79 + 4504.25i −0.469577 + 1.19646i
\(243\) −3133.13 966.444i −0.827122 0.255133i
\(244\) 803.169 0.210728
\(245\) −5748.21 391.741i −1.49894 0.102153i
\(246\) 12405.0 3.21510
\(247\) 1853.73 + 571.800i 0.477530 + 0.147299i
\(248\) −1136.52 + 2895.81i −0.291005 + 0.741469i
\(249\) −1624.14 1107.32i −0.413357 0.281822i
\(250\) −2823.19 + 425.527i −0.714216 + 0.107651i
\(251\) 4699.84 5893.41i 1.18188 1.48203i 0.341619 0.939838i \(-0.389025\pi\)
0.840257 0.542188i \(-0.182404\pi\)
\(252\) 535.873 + 4615.83i 0.133956 + 1.15385i
\(253\) −2197.27 2755.29i −0.546014 0.684679i
\(254\) 5798.28 + 5380.01i 1.43235 + 1.32902i
\(255\) −4198.13 632.766i −1.03097 0.155393i
\(256\) 1143.67 1061.17i 0.279216 0.259074i
\(257\) −6701.93 + 4569.30i −1.62667 + 1.10905i −0.714175 + 0.699967i \(0.753198\pi\)
−0.912499 + 0.409080i \(0.865850\pi\)
\(258\) 1747.44 + 7656.05i 0.421671 + 1.84746i
\(259\) 4939.26 2631.85i 1.18498 0.631411i
\(260\) 2146.77 9405.62i 0.512066 2.24351i
\(261\) 804.341 + 2049.43i 0.190757 + 0.486040i
\(262\) −579.528 7733.26i −0.136654 1.82352i
\(263\) 1891.20 + 3275.65i 0.443408 + 0.768005i 0.997940 0.0641576i \(-0.0204360\pi\)
−0.554532 + 0.832162i \(0.687103\pi\)
\(264\) 4047.41 7010.33i 0.943565 1.63430i
\(265\) −281.432 135.531i −0.0652387 0.0314173i
\(266\) −5291.69 + 3933.12i −1.21975 + 0.906597i
\(267\) −3236.28 + 1558.51i −0.741787 + 0.357226i
\(268\) −1226.99 + 16373.1i −0.279667 + 3.73189i
\(269\) 4280.69 1320.42i 0.970255 0.299284i 0.231183 0.972910i \(-0.425740\pi\)
0.739072 + 0.673626i \(0.235264\pi\)
\(270\) −7695.79 + 2373.84i −1.73463 + 0.535063i
\(271\) 36.8285 491.442i 0.00825524 0.110159i −0.991554 0.129695i \(-0.958600\pi\)
0.999809 + 0.0195368i \(0.00621914\pi\)
\(272\) −6301.04 + 3034.42i −1.40462 + 0.676430i
\(273\) −3244.72 857.686i −0.719339 0.190145i
\(274\) −1064.60 512.683i −0.234725 0.113038i
\(275\) 1601.88 2774.54i 0.351263 0.608405i
\(276\) −10843.7 18781.8i −2.36490 4.09612i
\(277\) −103.483 1380.89i −0.0224466 0.299528i −0.997117 0.0758817i \(-0.975823\pi\)
0.974670 0.223647i \(-0.0717962\pi\)
\(278\) −1813.11 4619.72i −0.391162 0.996664i
\(279\) 138.010 604.660i 0.0296144 0.129749i
\(280\) 12857.4 + 14838.9i 2.74420 + 3.16712i
\(281\) 284.826 + 1247.90i 0.0604672 + 0.264924i 0.996121 0.0879954i \(-0.0280461\pi\)
−0.935654 + 0.352920i \(0.885189\pi\)
\(282\) 812.916 554.237i 0.171661 0.117037i
\(283\) −3282.16 + 3045.40i −0.689414 + 0.639682i −0.944987 0.327107i \(-0.893926\pi\)
0.255574 + 0.966790i \(0.417736\pi\)
\(284\) 5668.36 + 854.368i 1.18435 + 0.178512i
\(285\) 5217.63 + 4841.26i 1.08444 + 1.00621i
\(286\) 1935.16 + 2426.61i 0.400099 + 0.501708i
\(287\) −3695.21 5837.04i −0.760004 1.20052i
\(288\) 3258.09 4085.52i 0.666614 0.835907i
\(289\) 3262.28 491.709i 0.664009 0.100083i
\(290\) 12835.8 + 8751.33i 2.59913 + 1.77205i
\(291\) −1196.26 + 3048.02i −0.240983 + 0.614014i
\(292\) 3943.04 + 1216.27i 0.790236 + 0.243755i
\(293\) 9793.37 1.95268 0.976339 0.216246i \(-0.0693814\pi\)
0.976339 + 0.216246i \(0.0693814\pi\)
\(294\) 8869.92 7172.08i 1.75954 1.42273i
\(295\) 6427.82 1.26862
\(296\) −18225.1 5621.71i −3.57876 1.10390i
\(297\) 675.554 1721.28i 0.131985 0.336293i
\(298\) −6271.50 4275.84i −1.21912 0.831183i
\(299\) 4923.67 742.123i 0.952318 0.143539i
\(300\) 12292.5 15414.4i 2.36570 2.96649i
\(301\) 3081.94 3102.83i 0.590167 0.594167i
\(302\) 5072.53 + 6360.75i 0.966527 + 1.21199i
\(303\) −947.998 879.614i −0.179740 0.166774i
\(304\) 11593.9 + 1747.50i 2.18736 + 0.329691i
\(305\) −495.973 + 460.196i −0.0931126 + 0.0863959i
\(306\) 2207.68 1505.17i 0.412434 0.281193i
\(307\) −2187.20 9582.74i −0.406612 1.78148i −0.599618 0.800287i \(-0.704681\pi\)
0.193006 0.981198i \(-0.438176\pi\)
\(308\) −7522.19 + 306.905i −1.39161 + 0.0567777i
\(309\) −2099.50 + 9198.52i −0.386526 + 1.69348i
\(310\) −1598.87 4073.86i −0.292935 0.746386i
\(311\) 178.807 + 2386.01i 0.0326019 + 0.435042i 0.989492 + 0.144590i \(0.0461865\pi\)
−0.956890 + 0.290452i \(0.906194\pi\)
\(312\) 5718.60 + 9904.90i 1.03767 + 1.79729i
\(313\) −1631.42 + 2825.71i −0.294612 + 0.510282i −0.974894 0.222667i \(-0.928524\pi\)
0.680283 + 0.732950i \(0.261857\pi\)
\(314\) −3690.03 1777.03i −0.663186 0.319374i
\(315\) −2975.67 2543.33i −0.532254 0.454921i
\(316\) −10022.7 + 4826.66i −1.78424 + 0.859243i
\(317\) 197.685 2637.92i 0.0350255 0.467383i −0.951922 0.306341i \(-0.900895\pi\)
0.986947 0.161042i \(-0.0514856\pi\)
\(318\) 590.951 182.284i 0.104210 0.0321446i
\(319\) −3408.43 + 1051.36i −0.598231 + 0.184530i
\(320\) 1007.31 13441.6i 0.175970 2.34815i
\(321\) −5165.35 + 2487.50i −0.898137 + 0.432520i
\(322\) −7857.15 + 14988.8i −1.35982 + 2.59408i
\(323\) 2437.73 + 1173.95i 0.419934 + 0.202230i
\(324\) 9076.83 15721.5i 1.55638 2.69574i
\(325\) 2263.30 + 3920.16i 0.386294 + 0.669080i
\(326\) 1435.66 + 19157.6i 0.243908 + 3.25472i
\(327\) −3363.68 8570.51i −0.568843 1.44939i
\(328\) −5238.68 + 22952.2i −0.881884 + 3.86379i
\(329\) −502.942 217.412i −0.0842799 0.0364326i
\(330\) 2534.04 + 11102.4i 0.422711 + 1.85202i
\(331\) 481.437 328.238i 0.0799462 0.0545064i −0.522687 0.852524i \(-0.675070\pi\)
0.602634 + 0.798018i \(0.294118\pi\)
\(332\) 4566.96 4237.52i 0.754953 0.700494i
\(333\) 3760.00 + 566.729i 0.618759 + 0.0932629i
\(334\) 6645.92 + 6166.51i 1.08877 + 1.01023i
\(335\) −8623.69 10813.8i −1.40646 1.76364i
\(336\) −20164.7 2203.07i −3.27403 0.357701i
\(337\) 897.566 1125.51i 0.145085 0.181930i −0.703979 0.710221i \(-0.748595\pi\)
0.849064 + 0.528290i \(0.177167\pi\)
\(338\) 7146.97 1077.23i 1.15013 0.173354i
\(339\) −5334.08 3636.71i −0.854594 0.582653i
\(340\) 4915.93 12525.6i 0.784129 1.99793i
\(341\) 960.177 + 296.175i 0.152482 + 0.0470346i
\(342\) −4479.57 −0.708267
\(343\) −6016.92 2037.22i −0.947181 0.320699i
\(344\) −14903.5 −2.33587
\(345\) 17457.7 + 5384.98i 2.72432 + 0.840341i
\(346\) −111.142 + 283.186i −0.0172689 + 0.0440005i
\(347\) −4525.49 3085.42i −0.700118 0.477332i 0.160204 0.987084i \(-0.448785\pi\)
−0.860321 + 0.509752i \(0.829737\pi\)
\(348\) −21705.2 + 3271.53i −3.34345 + 0.503944i
\(349\) −6194.55 + 7767.72i −0.950105 + 1.19139i 0.0313120 + 0.999510i \(0.490031\pi\)
−0.981417 + 0.191885i \(0.938540\pi\)
\(350\) −15293.8 1670.91i −2.33568 0.255182i
\(351\) 1628.93 + 2042.61i 0.247709 + 0.310617i
\(352\) 6206.08 + 5758.40i 0.939730 + 0.871942i
\(353\) −6198.58 934.286i −0.934610 0.140870i −0.335956 0.941878i \(-0.609059\pi\)
−0.598654 + 0.801008i \(0.704297\pi\)
\(354\) −9328.72 + 8655.79i −1.40061 + 1.29958i
\(355\) −3989.86 + 2720.24i −0.596507 + 0.406691i
\(356\) −2533.27 11099.0i −0.377143 1.65237i
\(357\) −4296.70 1857.38i −0.636990 0.275359i
\(358\) 4964.17 21749.4i 0.732862 3.21088i
\(359\) 1824.15 + 4647.85i 0.268175 + 0.683299i 0.999998 + 0.00180441i \(0.000574361\pi\)
−0.731823 + 0.681494i \(0.761330\pi\)
\(360\) 996.885 + 13302.5i 0.145946 + 1.94751i
\(361\) 1161.46 + 2011.71i 0.169334 + 0.293295i
\(362\) 11057.3 19151.7i 1.60541 2.78064i
\(363\) 5188.97 + 2498.88i 0.750276 + 0.361314i
\(364\) 4938.52 9421.03i 0.711124 1.35658i
\(365\) −3131.80 + 1508.19i −0.449112 + 0.216281i
\(366\) 100.102 1335.77i 0.0142962 0.190770i
\(367\) −4018.26 + 1239.47i −0.571530 + 0.176294i −0.567031 0.823696i \(-0.691908\pi\)
−0.00449865 + 0.999990i \(0.501432\pi\)
\(368\) 28757.8 8870.61i 4.07365 1.25656i
\(369\) 350.757 4680.52i 0.0494842 0.660320i
\(370\) 24174.2 11641.7i 3.39664 1.63574i
\(371\) −261.805 223.767i −0.0366367 0.0313137i
\(372\) 5571.20 + 2682.95i 0.776487 + 0.373936i
\(373\) −4076.94 + 7061.47i −0.565941 + 0.980239i 0.431020 + 0.902342i \(0.358154\pi\)
−0.996961 + 0.0778969i \(0.975179\pi\)
\(374\) 2164.46 + 3748.96i 0.299256 + 0.518326i
\(375\) 253.953 + 3388.76i 0.0349708 + 0.466653i
\(376\) 682.171 + 1738.14i 0.0935646 + 0.238399i
\(377\) 1121.43 4913.32i 0.153201 0.671217i
\(378\) −8872.19 + 361.985i −1.20724 + 0.0492553i
\(379\) −1452.50 6363.84i −0.196861 0.862503i −0.972791 0.231684i \(-0.925576\pi\)
0.775930 0.630818i \(-0.217281\pi\)
\(380\) −18638.8 + 12707.7i −2.51619 + 1.71551i
\(381\) 6901.42 6403.58i 0.928007 0.861065i
\(382\) 4516.82 + 680.802i 0.604976 + 0.0911854i
\(383\) 5481.78 + 5086.35i 0.731347 + 0.678591i 0.955176 0.296037i \(-0.0956653\pi\)
−0.223829 + 0.974628i \(0.571856\pi\)
\(384\) 3606.31 + 4522.17i 0.479254 + 0.600966i
\(385\) 4469.26 4499.55i 0.591622 0.595632i
\(386\) −4407.74 + 5527.13i −0.581213 + 0.728818i
\(387\) 2938.11 442.849i 0.385924 0.0581686i
\(388\) −8574.45 5845.96i −1.12191 0.764907i
\(389\) 2772.14 7063.29i 0.361319 0.920625i −0.628438 0.777860i \(-0.716305\pi\)
0.989757 0.142765i \(-0.0455993\pi\)
\(390\) −15375.1 4742.60i −1.99628 0.615771i
\(391\) 6944.79 0.898244
\(392\) 9524.23 + 19440.3i 1.22716 + 2.50480i
\(393\) −9230.36 −1.18476
\(394\) −24103.9 7435.08i −3.08208 0.950695i
\(395\) 3423.64 8723.29i 0.436106 1.11118i
\(396\) −4226.16 2881.35i −0.536294 0.365639i
\(397\) −181.669 + 27.3822i −0.0229665 + 0.00346165i −0.160515 0.987033i \(-0.551316\pi\)
0.137549 + 0.990495i \(0.456078\pi\)
\(398\) 694.247 870.558i 0.0874358 0.109641i
\(399\) 4197.64 + 6630.68i 0.526678 + 0.831953i
\(400\) 17058.0 + 21390.0i 2.13225 + 2.67375i
\(401\) 1876.15 + 1740.82i 0.233642 + 0.216789i 0.788301 0.615289i \(-0.210961\pi\)
−0.554659 + 0.832078i \(0.687151\pi\)
\(402\) 27077.6 + 4081.29i 3.35947 + 0.506358i
\(403\) −1040.72 + 965.647i −0.128640 + 0.119361i
\(404\) 3386.51 2308.88i 0.417042 0.284335i
\(405\) 3402.92 + 14909.2i 0.417512 + 1.82924i
\(406\) 11216.5 + 12945.2i 1.37110 + 1.58241i
\(407\) −1370.84 + 6006.03i −0.166953 + 0.731468i
\(408\) 5827.88 + 14849.2i 0.707164 + 1.80182i
\(409\) 215.675 + 2877.98i 0.0260744 + 0.347939i 0.994949 + 0.100385i \(0.0320076\pi\)
−0.968874 + 0.247554i \(0.920373\pi\)
\(410\) −16559.9 28682.5i −1.99472 3.45495i
\(411\) −703.211 + 1218.00i −0.0843962 + 0.146179i
\(412\) −26942.0 12974.6i −3.22169 1.55148i
\(413\) 6851.73 + 1811.14i 0.816348 + 0.215787i
\(414\) −10359.3 + 4988.77i −1.22979 + 0.592234i
\(415\) −392.197 + 5233.51i −0.0463909 + 0.619043i
\(416\) −11430.3 + 3525.78i −1.34716 + 0.415543i
\(417\) −5644.54 + 1741.11i −0.662864 + 0.204467i
\(418\) 542.351 7237.18i 0.0634624 0.846847i
\(419\) −14963.4 + 7205.99i −1.74465 + 0.840180i −0.763793 + 0.645461i \(0.776665\pi\)
−0.980859 + 0.194720i \(0.937620\pi\)
\(420\) 31323.2 23281.4i 3.63908 2.70480i
\(421\) −7897.74 3803.35i −0.914281 0.440295i −0.0832554 0.996528i \(-0.526532\pi\)
−0.831026 + 0.556234i \(0.812246\pi\)
\(422\) −10778.1 + 18668.2i −1.24329 + 2.15344i
\(423\) −186.133 322.392i −0.0213950 0.0370573i
\(424\) 87.7078 + 1170.38i 0.0100459 + 0.134053i
\(425\) 2306.56 + 5877.01i 0.263257 + 0.670769i
\(426\) 2127.39 9320.70i 0.241954 1.06007i
\(427\) −658.350 + 350.798i −0.0746131 + 0.0397571i
\(428\) −4043.29 17714.8i −0.456635 2.00065i
\(429\) 3052.34 2081.05i 0.343516 0.234205i
\(430\) 15369.4 14260.7i 1.72367 1.59933i
\(431\) −1910.79 288.005i −0.213548 0.0321872i 0.0413967 0.999143i \(-0.486819\pi\)
−0.254945 + 0.966956i \(0.582057\pi\)
\(432\) 11575.3 + 10740.3i 1.28916 + 1.19617i
\(433\) −2027.57 2542.50i −0.225032 0.282181i 0.656479 0.754344i \(-0.272045\pi\)
−0.881511 + 0.472163i \(0.843474\pi\)
\(434\) −556.446 4793.04i −0.0615444 0.530123i
\(435\) 11528.9 14456.8i 1.27073 1.59345i
\(436\) 28854.4 4349.10i 3.16944 0.477716i
\(437\) −9619.89 6558.73i −1.05305 0.717956i
\(438\) 2514.24 6406.17i 0.274280 0.698855i
\(439\) 6662.35 + 2055.06i 0.724320 + 0.223423i 0.634926 0.772573i \(-0.281031\pi\)
0.0893945 + 0.995996i \(0.471507\pi\)
\(440\) −21612.2 −2.34163
\(441\) −2455.29 3549.50i −0.265122 0.383274i
\(442\) −6116.34 −0.658201
\(443\) −10103.2 3116.44i −1.08357 0.334236i −0.298982 0.954259i \(-0.596647\pi\)
−0.784584 + 0.620023i \(0.787123\pi\)
\(444\) −13850.5 + 35290.4i −1.48044 + 3.77209i
\(445\) 7923.78 + 5402.34i 0.844097 + 0.575495i
\(446\) 6206.35 935.457i 0.658922 0.0993165i
\(447\) −5632.94 + 7063.48i −0.596038 + 0.747408i
\(448\) 4861.12 14044.3i 0.512648 1.48109i
\(449\) 9869.65 + 12376.1i 1.03737 + 1.30082i 0.952538 + 0.304421i \(0.0984628\pi\)
0.0848286 + 0.996396i \(0.472966\pi\)
\(450\) −7662.33 7109.61i −0.802680 0.744778i
\(451\) 7519.36 + 1133.36i 0.785084 + 0.118332i
\(452\) 14999.0 13917.0i 1.56083 1.44824i
\(453\) 8000.93 5454.94i 0.829838 0.565774i
\(454\) 3406.00 + 14922.7i 0.352096 + 1.54263i
\(455\) 2348.38 + 8647.33i 0.241964 + 0.890974i
\(456\) 5950.98 26072.9i 0.611140 2.67758i
\(457\) −4889.55 12458.4i −0.500489 1.27523i −0.928460 0.371433i \(-0.878866\pi\)
0.427970 0.903793i \(-0.359229\pi\)
\(458\) 1540.14 + 20551.8i 0.157131 + 2.09677i
\(459\) 1821.95 + 3155.71i 0.185275 + 0.320906i
\(460\) −28951.2 + 50144.9i −2.93447 + 5.08265i
\(461\) 11067.7 + 5329.94i 1.11817 + 0.538481i 0.899326 0.437279i \(-0.144058\pi\)
0.218842 + 0.975760i \(0.429772\pi\)
\(462\) −427.099 + 12548.6i −0.0430096 + 1.26366i
\(463\) −4611.91 + 2220.98i −0.462923 + 0.222932i −0.650783 0.759264i \(-0.725559\pi\)
0.187860 + 0.982196i \(0.439845\pi\)
\(464\) 2276.27 30374.7i 0.227744 3.03903i
\(465\) −4977.59 + 1535.38i −0.496409 + 0.153122i
\(466\) −12924.1 + 3986.57i −1.28476 + 0.396297i
\(467\) 213.380 2847.36i 0.0211436 0.282141i −0.976603 0.215049i \(-0.931009\pi\)
0.997747 0.0670922i \(-0.0213722\pi\)
\(468\) 6511.21 3135.63i 0.643122 0.309711i
\(469\) −6145.48 13956.8i −0.605057 1.37412i
\(470\) −2366.68 1139.73i −0.232270 0.111855i
\(471\) −2437.42 + 4221.73i −0.238451 + 0.413009i
\(472\) −12075.7 20915.7i −1.17760 2.03967i
\(473\) 359.741 + 4800.41i 0.0349702 + 0.466645i
\(474\) 6778.16 + 17270.5i 0.656817 + 1.67354i
\(475\) 2355.27 10319.1i 0.227510 0.996788i
\(476\) 8769.41 11966.5i 0.844423 1.15228i
\(477\) −52.0682 228.126i −0.00499798 0.0218976i
\(478\) 1014.76 691.855i 0.0971010 0.0662023i
\(479\) −11375.9 + 10555.3i −1.08513 + 1.00685i −0.0851836 + 0.996365i \(0.527148\pi\)
−0.999945 + 0.0104869i \(0.996662\pi\)
\(480\) −43398.3 6541.23i −4.12677 0.622011i
\(481\) −6380.59 5920.33i −0.604844 0.561213i
\(482\) 8030.76 + 10070.3i 0.758903 + 0.951634i
\(483\) 17091.7 + 10659.1i 1.61014 + 1.00415i
\(484\) −11380.8 + 14271.1i −1.06882 + 1.34026i
\(485\) 8644.49 1302.95i 0.809332 0.121987i
\(486\) −14319.7 9763.03i −1.33654 0.911235i
\(487\) 1138.96 2902.02i 0.105978 0.270027i −0.868042 0.496491i \(-0.834621\pi\)
0.974019 + 0.226464i \(0.0727167\pi\)
\(488\) 2429.21 + 749.314i 0.225339 + 0.0695078i
\(489\) 22866.3 2.11462
\(490\) −28423.9 10934.6i −2.62053 1.00811i
\(491\) 15876.2 1.45923 0.729617 0.683856i \(-0.239698\pi\)
0.729617 + 0.683856i \(0.239698\pi\)
\(492\) 44717.1 + 13793.4i 4.09757 + 1.26393i
\(493\) 2567.99 6543.14i 0.234597 0.597744i
\(494\) 8472.32 + 5776.33i 0.771635 + 0.526092i
\(495\) 4260.68 642.194i 0.386876 0.0583121i
\(496\) −5350.00 + 6708.69i −0.484319 + 0.607317i
\(497\) −5019.46 + 1775.44i −0.453025 + 0.160240i
\(498\) −6478.31 8123.55i −0.582932 0.730974i
\(499\) −12533.8 11629.7i −1.12443 1.04332i −0.998686 0.0512553i \(-0.983678\pi\)
−0.125744 0.992063i \(-0.540132\pi\)
\(500\) −10650.1 1605.24i −0.952573 0.143577i
\(501\) 7910.34 7339.72i 0.705405 0.654520i
\(502\) 32921.0 22445.2i 2.92696 1.99557i
\(503\) 2726.17 + 11944.1i 0.241658 + 1.05877i 0.939507 + 0.342528i \(0.111283\pi\)
−0.697849 + 0.716244i \(0.745860\pi\)
\(504\) −2685.55 + 14460.7i −0.237349 + 1.27804i
\(505\) −768.306 + 3366.17i −0.0677013 + 0.296619i
\(506\) −6805.62 17340.4i −0.597918 1.52347i
\(507\) −642.888 8578.74i −0.0563149 0.751470i
\(508\) 14919.3 + 25840.9i 1.30302 + 2.25690i
\(509\) −5475.44 + 9483.75i −0.476807 + 0.825854i −0.999647 0.0265769i \(-0.991539\pi\)
0.522840 + 0.852431i \(0.324873\pi\)
\(510\) −20218.9 9736.91i −1.75551 0.845407i
\(511\) −3763.29 + 725.227i −0.325789 + 0.0627831i
\(512\) 14056.4 6769.22i 1.21331 0.584297i
\(513\) 456.527 6091.93i 0.0392908 0.524299i
\(514\) −40970.6 + 12637.8i −3.51583 + 1.08449i
\(515\) 24071.3 7425.02i 2.05963 0.635311i
\(516\) −2213.82 + 29541.3i −0.188872 + 2.52032i
\(517\) 543.391 261.683i 0.0462250 0.0222608i
\(518\) 29048.7 5598.00i 2.46395 0.474830i
\(519\) 326.235 + 157.107i 0.0275918 + 0.0132875i
\(520\) 15267.9 26444.8i 1.28758 2.23016i
\(521\) −3840.86 6652.56i −0.322977 0.559413i 0.658124 0.752910i \(-0.271350\pi\)
−0.981101 + 0.193497i \(0.938017\pi\)
\(522\) 869.664 + 11604.9i 0.0729199 + 0.973048i
\(523\) −7638.09 19461.5i −0.638605 1.62714i −0.771664 0.636030i \(-0.780575\pi\)
0.133059 0.991108i \(-0.457520\pi\)
\(524\) 6509.73 28521.0i 0.542708 2.37776i
\(525\) −3343.59 + 18004.0i −0.277955 + 1.49668i
\(526\) 4448.89 + 19491.9i 0.368785 + 1.61575i
\(527\) −1636.05 + 1115.44i −0.135233 + 0.0922001i
\(528\) 16367.7 15187.0i 1.34908 1.25176i
\(529\) −17519.8 2640.68i −1.43994 0.217036i
\(530\) −1210.36 1123.05i −0.0991971 0.0920415i
\(531\) 3002.14 + 3764.56i 0.245351 + 0.307661i
\(532\) −23448.6 + 8294.03i −1.91095 + 0.675924i
\(533\) −6698.85 + 8400.09i −0.544389 + 0.682642i
\(534\) −18774.7 + 2829.83i −1.52146 + 0.229323i
\(535\) 12647.0 + 8622.56i 1.02201 + 0.696795i
\(536\) −18986.3 + 48376.4i −1.53001 + 3.89840i
\(537\) −25373.4 7826.67i −2.03900 0.628949i
\(538\) 23679.1 1.89754
\(539\) 6031.82 3537.01i 0.482020 0.282653i
\(540\) −30381.1 −2.42110
\(541\) 9377.45 + 2892.56i 0.745227 + 0.229872i 0.644036 0.764995i \(-0.277259\pi\)
0.101191 + 0.994867i \(0.467735\pi\)
\(542\) 951.701 2424.90i 0.0754226 0.192174i
\(543\) −21748.2 14827.7i −1.71879 1.17185i
\(544\) −16497.1 + 2486.55i −1.30020 + 0.195974i
\(545\) −15326.2 + 19218.5i −1.20459 + 1.51051i
\(546\) −15052.8 9387.55i −1.17986 0.735806i
\(547\) 881.325 + 1105.15i 0.0688898 + 0.0863851i 0.815082 0.579345i \(-0.196692\pi\)
−0.746193 + 0.665730i \(0.768120\pi\)
\(548\) −3267.57 3031.86i −0.254714 0.236340i
\(549\) −501.168 75.5389i −0.0389605 0.00587235i
\(550\) 12413.9 11518.5i 0.962423 0.892998i
\(551\) −9736.57 + 6638.28i −0.752798 + 0.513249i
\(552\) −15274.7 66922.7i −1.17778 5.16018i
\(553\) 6107.35 8333.93i 0.469640 0.640858i
\(554\) 1628.77 7136.09i 0.124909 0.547263i
\(555\) −11667.6 29728.5i −0.892363 2.27370i
\(556\) −1399.05 18669.1i −0.106714 1.42400i
\(557\) −4139.98 7170.66i −0.314931 0.545477i 0.664492 0.747296i \(-0.268648\pi\)
−0.979423 + 0.201819i \(0.935315\pi\)
\(558\) 1639.17 2839.12i 0.124357 0.215393i
\(559\) −6127.96 2951.07i −0.463659 0.223286i
\(560\) 21824.7 + 49565.4i 1.64690 + 3.74021i
\(561\) 4642.26 2235.60i 0.349370 0.168248i
\(562\) −505.613 + 6746.94i −0.0379502 + 0.506410i
\(563\) 19125.6 5899.46i 1.43170 0.441621i 0.520599 0.853801i \(-0.325709\pi\)
0.911102 + 0.412180i \(0.135233\pi\)
\(564\) 3546.64 1093.99i 0.264788 0.0816764i
\(565\) −1288.07 + 17188.1i −0.0959108 + 1.27984i
\(566\) −21323.0 + 10268.6i −1.58352 + 0.762584i
\(567\) −573.543 + 16851.3i −0.0424807 + 1.24812i
\(568\) 16347.1 + 7872.34i 1.20759 + 0.581543i
\(569\) −7337.24 + 12708.5i −0.540586 + 0.936322i 0.458285 + 0.888805i \(0.348464\pi\)
−0.998870 + 0.0475165i \(0.984869\pi\)
\(570\) 18811.5 + 32582.4i 1.38233 + 2.39426i
\(571\) 1041.79 + 13901.7i 0.0763528 + 1.01886i 0.895438 + 0.445186i \(0.146862\pi\)
−0.819086 + 0.573671i \(0.805519\pi\)
\(572\) 4277.59 + 10899.1i 0.312684 + 0.796705i
\(573\) 1209.82 5300.58i 0.0882043 0.386448i
\(574\) −9570.25 35240.1i −0.695914 2.56254i
\(575\) −6045.40 26486.6i −0.438454 1.92099i
\(576\) 8342.77 5688.00i 0.603499 0.411459i
\(577\) −11236.0 + 10425.5i −0.810677 + 0.752198i −0.972070 0.234692i \(-0.924592\pi\)
0.161393 + 0.986890i \(0.448401\pi\)
\(578\) 17243.9 + 2599.10i 1.24092 + 0.187038i
\(579\) 6168.24 + 5723.29i 0.442734 + 0.410798i
\(580\) 36539.4 + 45819.0i 2.61589 + 3.28022i
\(581\) −1892.68 + 5468.15i −0.135149 + 0.390460i
\(582\) −10791.2 + 13531.8i −0.768574 + 0.963762i
\(583\) 374.863 56.5015i 0.0266299 0.00401381i
\(584\) 10791.2 + 7357.28i 0.764625 + 0.521313i
\(585\) −2224.17 + 5667.08i −0.157193 + 0.400521i
\(586\) 49466.4 + 15258.4i 3.48709 + 1.07563i
\(587\) −5200.39 −0.365661 −0.182831 0.983144i \(-0.558526\pi\)
−0.182831 + 0.983144i \(0.558526\pi\)
\(588\) 39948.8 15991.0i 2.80181 1.12153i
\(589\) 3319.69 0.232233
\(590\) 32467.0 + 10014.7i 2.26550 + 0.698813i
\(591\) −10968.9 + 27948.3i −0.763451 + 1.94524i
\(592\) −43466.8 29635.1i −3.01769 2.05743i
\(593\) −14088.5 + 2123.51i −0.975627 + 0.147052i −0.617457 0.786604i \(-0.711837\pi\)
−0.358170 + 0.933656i \(0.616599\pi\)
\(594\) 6094.04 7641.68i 0.420945 0.527848i
\(595\) 1441.22 + 12414.2i 0.0993015 + 0.855350i
\(596\) −17852.9 22386.8i −1.22699 1.53859i
\(597\) −971.536 901.454i −0.0666036 0.0617991i
\(598\) 26025.7 + 3922.75i 1.77972 + 0.268249i
\(599\) 7636.06 7085.23i 0.520870 0.483296i −0.375365 0.926877i \(-0.622483\pi\)
0.896234 + 0.443581i \(0.146292\pi\)
\(600\) 51560.0 35153.0i 3.50821 2.39186i
\(601\) −4018.29 17605.3i −0.272728 1.19490i −0.906778 0.421608i \(-0.861466\pi\)
0.634050 0.773292i \(-0.281391\pi\)
\(602\) 20401.2 10870.7i 1.38121 0.735972i
\(603\) 2305.54 10101.2i 0.155703 0.682178i
\(604\) 11212.6 + 28569.3i 0.755356 + 1.92462i
\(605\) −1149.10 15333.7i −0.0772190 1.03042i
\(606\) −3417.88 5919.94i −0.229112 0.396834i
\(607\) 11449.6 19831.3i 0.765611 1.32608i −0.174312 0.984690i \(-0.555770\pi\)
0.939923 0.341386i \(-0.110896\pi\)
\(608\) 25200.1 + 12135.7i 1.68092 + 0.809488i
\(609\) 16362.6 12161.8i 1.08875 0.809227i
\(610\) −3222.16 + 1551.71i −0.213871 + 0.102995i
\(611\) −63.6810 + 849.764i −0.00421646 + 0.0562647i
\(612\) 9631.82 2971.02i 0.636182 0.196236i
\(613\) 10080.5 3109.42i 0.664187 0.204875i 0.0557111 0.998447i \(-0.482257\pi\)
0.608476 + 0.793572i \(0.291781\pi\)
\(614\) 3882.64 51810.2i 0.255196 3.40536i
\(615\) −35517.0 + 17104.1i −2.32876 + 1.12147i
\(616\) −23037.5 6089.55i −1.50683 0.398304i
\(617\) 6775.97 + 3263.14i 0.442124 + 0.212916i 0.641683 0.766970i \(-0.278237\pi\)
−0.199559 + 0.979886i \(0.563951\pi\)
\(618\) −24936.2 + 43190.7i −1.62311 + 2.81130i
\(619\) −4155.67 7197.84i −0.269839 0.467376i 0.698981 0.715140i \(-0.253637\pi\)
−0.968820 + 0.247765i \(0.920304\pi\)
\(620\) −1233.74 16463.2i −0.0799166 1.06641i
\(621\) −5728.67 14596.4i −0.370183 0.943210i
\(622\) −2814.32 + 12330.3i −0.181421 + 0.794857i
\(623\) 6924.16 + 7991.27i 0.445282 + 0.513906i
\(624\) 7019.96 + 30756.5i 0.450358 + 1.97315i
\(625\) −8734.61 + 5955.16i −0.559015 + 0.381130i
\(626\) −12642.9 + 11730.9i −0.807205 + 0.748977i
\(627\) −8541.75 1287.46i −0.544059 0.0820036i
\(628\) −11325.8 10508.8i −0.719663 0.667750i
\(629\) −7569.17 9491.44i −0.479813 0.601667i
\(630\) −11067.5 17482.5i −0.699907 1.10559i
\(631\) 7261.60 9105.76i 0.458130 0.574476i −0.498090 0.867125i \(-0.665965\pi\)
0.956220 + 0.292649i \(0.0945367\pi\)
\(632\) −34816.9 + 5247.80i −2.19136 + 0.330295i
\(633\) 21199.1 + 14453.3i 1.33110 + 0.907530i
\(634\) 5108.47 13016.2i 0.320005 0.815359i
\(635\) −24019.2 7408.94i −1.50106 0.463015i
\(636\) 2332.93 0.145451
\(637\) 66.7344 + 9879.31i 0.00415089 + 0.614494i
\(638\) −18854.1 −1.16997
\(639\) −3456.63 1066.23i −0.213994 0.0660085i
\(640\) 5641.86 14375.2i 0.348460 0.887861i
\(641\) −12296.0 8383.27i −0.757664 0.516566i 0.121787 0.992556i \(-0.461138\pi\)
−0.879451 + 0.475990i \(0.842090\pi\)
\(642\) −29965.8 + 4516.62i −1.84215 + 0.277659i
\(643\) 7870.87 9869.76i 0.482732 0.605327i −0.479505 0.877539i \(-0.659184\pi\)
0.962237 + 0.272212i \(0.0877552\pi\)
\(644\) −44989.6 + 45294.5i −2.75286 + 2.77151i
\(645\) −15559.4 19510.8i −0.949844 1.19107i
\(646\) 10483.9 + 9727.67i 0.638521 + 0.592461i
\(647\) 972.570 + 146.591i 0.0590968 + 0.00890742i 0.178524 0.983936i \(-0.442868\pi\)
−0.119427 + 0.992843i \(0.538106\pi\)
\(648\) 42120.6 39082.2i 2.55348 2.36928i
\(649\) −6445.48 + 4394.46i −0.389842 + 0.265790i
\(650\) 5324.24 + 23327.0i 0.321283 + 1.40763i
\(651\) −5738.48 + 234.130i −0.345482 + 0.0140956i
\(652\) −16126.5 + 70654.9i −0.968656 + 4.24396i
\(653\) −8963.55 22838.8i −0.537168 1.36868i −0.899617 0.436679i \(-0.856155\pi\)
0.362449 0.932004i \(-0.381941\pi\)
\(654\) −3636.85 48530.4i −0.217450 2.90166i
\(655\) 12321.9 + 21342.2i 0.735050 + 1.27314i
\(656\) −32468.8 + 56237.6i −1.93246 + 3.34712i
\(657\) −2346.02 1129.78i −0.139310 0.0670883i
\(658\) −2201.63 1881.75i −0.130438 0.111487i
\(659\) 14481.9 6974.12i 0.856047 0.412251i 0.0462285 0.998931i \(-0.485280\pi\)
0.809819 + 0.586680i \(0.199565\pi\)
\(660\) −3210.35 + 42839.2i −0.189337 + 2.52653i
\(661\) 15088.5 4654.17i 0.887856 0.273867i 0.182911 0.983129i \(-0.441448\pi\)
0.704945 + 0.709262i \(0.250972\pi\)
\(662\) 2943.15 907.841i 0.172793 0.0532995i
\(663\) −544.035 + 7259.64i −0.0318681 + 0.425251i
\(664\) 17766.3 8555.81i 1.03835 0.500045i
\(665\) 9727.74 18557.2i 0.567256 1.08213i
\(666\) 18108.8 + 8720.74i 1.05361 + 0.507390i
\(667\) −15123.6 + 26194.8i −0.877941 + 1.52064i
\(668\) 17100.3 + 29618.6i 0.990466 + 1.71554i
\(669\) −558.277 7449.69i −0.0322634 0.430526i
\(670\) −26710.2 68056.4i −1.54015 3.92425i
\(671\) 182.718 800.539i 0.0105123 0.0460573i
\(672\) −44417.3 19200.7i −2.54975 1.10221i
\(673\) 1610.34 + 7055.34i 0.0922346 + 0.404106i 0.999878 0.0156365i \(-0.00497746\pi\)
−0.907643 + 0.419743i \(0.862120\pi\)
\(674\) 6287.19 4286.53i 0.359308 0.244972i
\(675\) 10449.5 9695.73i 0.595855 0.552872i
\(676\) 26961.0 + 4063.71i 1.53397 + 0.231208i
\(677\) 9267.32 + 8598.82i 0.526104 + 0.488153i 0.897923 0.440152i \(-0.145075\pi\)
−0.371820 + 0.928305i \(0.621266\pi\)
\(678\) −21276.4 26679.7i −1.20518 1.51125i
\(679\) 9581.72 + 1046.84i 0.541550 + 0.0591665i
\(680\) 26554.1 33297.8i 1.49751 1.87781i
\(681\) 18015.1 2715.34i 1.01371 0.152793i
\(682\) 4388.41 + 2991.97i 0.246394 + 0.167989i
\(683\) −2754.98 + 7019.58i −0.154343 + 0.393260i −0.987041 0.160467i \(-0.948700\pi\)
0.832698 + 0.553728i \(0.186795\pi\)
\(684\) −16147.8 4980.94i −0.902671 0.278437i
\(685\) 3754.97 0.209445
\(686\) −27217.5 19664.6i −1.51482 1.09446i
\(687\) 24530.4 1.36229
\(688\) −39282.2 12116.9i −2.17677 0.671445i
\(689\) −195.686 + 498.601i −0.0108201 + 0.0275692i
\(690\) 79788.9 + 54399.1i 4.40219 + 3.00136i
\(691\) 19673.9 2965.36i 1.08311 0.163253i 0.416853 0.908974i \(-0.363133\pi\)
0.666258 + 0.745721i \(0.267895\pi\)
\(692\) −715.524 + 897.239i −0.0393066 + 0.0492889i
\(693\) 4722.62 + 515.965i 0.258871 + 0.0282827i
\(694\) −18051.1 22635.3i −0.987334 1.23808i
\(695\) 11560.9 + 10726.9i 0.630976 + 0.585460i
\(696\) −68700.4 10354.9i −3.74150 0.563940i
\(697\) −10985.0 + 10192.5i −0.596965 + 0.553903i
\(698\) −43391.1 + 29583.5i −2.35297 + 1.60423i
\(699\) 3582.19 + 15694.6i 0.193835 + 0.849248i
\(700\) −53272.6 23028.8i −2.87645 1.24344i
\(701\) 4519.26 19800.2i 0.243495 1.06682i −0.694314 0.719672i \(-0.744292\pi\)
0.937809 0.347151i \(-0.112851\pi\)
\(702\) 5045.29 + 12855.2i 0.271257 + 0.691150i
\(703\) 1520.97 + 20295.9i 0.0815994 + 1.08887i
\(704\) 8179.44 + 14167.2i 0.437889 + 0.758447i
\(705\) −1563.29 + 2707.70i −0.0835135 + 0.144650i
\(706\) −29853.4 14376.7i −1.59143 0.766392i
\(707\) −1767.44 + 3371.68i −0.0940192 + 0.179357i
\(708\) −43252.5 + 20829.3i −2.29594 + 1.10567i
\(709\) −1631.17 + 21766.5i −0.0864034 + 1.15297i 0.770481 + 0.637463i \(0.220016\pi\)
−0.856884 + 0.515509i \(0.827603\pi\)
\(710\) −24391.0 + 7523.64i −1.28927 + 0.397686i
\(711\) 6707.97 2069.13i 0.353823 0.109140i
\(712\) 2692.78 35932.6i 0.141736 1.89134i
\(713\) 7676.99 3697.04i 0.403233 0.194187i
\(714\) −18808.8 16076.0i −0.985857 0.842620i
\(715\) −8886.43 4279.48i −0.464802 0.223837i
\(716\) 42078.4 72882.0i 2.19629 3.80409i
\(717\) −730.920 1265.99i −0.0380707 0.0659404i
\(718\) 1972.29 + 26318.4i 0.102514 + 1.36796i
\(719\) 11524.6 + 29364.1i 0.597766 + 1.52308i 0.834215 + 0.551439i \(0.185921\pi\)
−0.236450 + 0.971644i \(0.575984\pi\)
\(720\) −8187.76 + 35872.9i −0.423805 + 1.85681i
\(721\) 27750.9 1132.24i 1.43342 0.0584836i
\(722\) 2732.24 + 11970.7i 0.140836 + 0.617043i
\(723\) 12667.0 8636.19i 0.651576 0.444237i
\(724\) 61154.1 56742.8i 3.13919 2.91275i
\(725\) −27190.2 4098.26i −1.39285 0.209939i
\(726\) 22316.2 + 20706.4i 1.14082 + 1.05852i
\(727\) 12829.5 + 16087.7i 0.654499 + 0.820716i 0.992732 0.120346i \(-0.0384005\pi\)
−0.338233 + 0.941062i \(0.609829\pi\)
\(728\) 23726.1 23886.9i 1.20789 1.21608i
\(729\) 2464.32 3090.16i 0.125201 0.156997i
\(730\) −18168.5 + 2738.47i −0.921161 + 0.138843i
\(731\) −7837.99 5343.85i −0.396578 0.270382i
\(732\) 1846.12 4703.83i 0.0932165 0.237512i
\(733\) −12297.2 3793.17i −0.619654 0.191138i −0.0309950 0.999520i \(-0.509868\pi\)
−0.588659 + 0.808382i \(0.700344\pi\)
\(734\) −22227.4 −1.11775
\(735\) −15506.8 + 32764.5i −0.778198 + 1.64427i
\(736\) 71792.0 3.59550
\(737\) 16040.4 + 4947.79i 0.801701 + 0.247292i
\(738\) 9064.06 23094.9i 0.452104 1.15194i
\(739\) 23949.7 + 16328.6i 1.19216 + 0.812798i 0.986167 0.165757i \(-0.0530066\pi\)
0.205989 + 0.978554i \(0.433959\pi\)
\(740\) 100087. 15085.7i 4.97199 0.749408i
\(741\) 7609.67 9542.23i 0.377258 0.473067i
\(742\) −973.743 1538.15i −0.0481769 0.0761013i
\(743\) 8780.32 + 11010.2i 0.433538 + 0.543639i 0.949827 0.312775i \(-0.101259\pi\)
−0.516289 + 0.856414i \(0.672687\pi\)
\(744\) 14347.2 + 13312.3i 0.706983 + 0.655985i
\(745\) 23851.6 + 3595.06i 1.17296 + 0.176796i
\(746\) −31594.7 + 29315.6i −1.55062 + 1.43876i
\(747\) −3248.27 + 2214.63i −0.159100 + 0.108473i
\(748\) 3633.83 + 15920.8i 0.177628 + 0.778240i
\(749\) 11051.5 + 12754.7i 0.539136 + 0.622224i
\(750\) −3997.08 + 17512.3i −0.194603 + 0.852613i
\(751\) −9130.55 23264.3i −0.443647 1.13039i −0.961471 0.274906i \(-0.911353\pi\)
0.517824 0.855487i \(-0.326742\pi\)
\(752\) 384.889 + 5135.98i 0.0186642 + 0.249056i
\(753\) −23712.5 41071.3i −1.14759 1.98768i
\(754\) 13319.5 23070.0i 0.643324 1.11427i
\(755\) −23293.5 11217.6i −1.12283 0.540727i
\(756\) −32384.7 8560.33i −1.55796 0.411820i
\(757\) 1749.85 842.682i 0.0840149 0.0404595i −0.391404 0.920219i \(-0.628011\pi\)
0.475419 + 0.879759i \(0.342296\pi\)
\(758\) 2578.44 34406.8i 0.123553 1.64870i
\(759\) −21187.2 + 6535.37i −1.01323 + 0.312541i
\(760\) −68229.4 + 21046.0i −3.25650 + 1.00450i
\(761\) 402.080 5365.39i 0.0191530 0.255579i −0.979405 0.201903i \(-0.935287\pi\)
0.998558 0.0536753i \(-0.0170936\pi\)
\(762\) 44836.1 21591.9i 2.13155 1.02650i
\(763\) −21752.1 + 16167.6i −1.03208 + 0.767110i
\(764\) 15525.1 + 7476.50i 0.735181 + 0.354045i
\(765\) −4245.53 + 7353.47i −0.200650 + 0.347536i
\(766\) 19763.8 + 34232.0i 0.932241 + 1.61469i
\(767\) −823.677 10991.2i −0.0387761 0.517431i
\(768\) −3586.06 9137.13i −0.168491 0.429307i
\(769\) −451.403 + 1977.73i −0.0211678 + 0.0927421i −0.984408 0.175898i \(-0.943717\pi\)
0.963241 + 0.268640i \(0.0865742\pi\)
\(770\) 29584.7 15764.0i 1.38462 0.737787i
\(771\) 11355.8 + 49753.2i 0.530442 + 2.32402i
\(772\) −22034.6 + 15023.0i −1.02726 + 0.700373i
\(773\) −11030.0 + 10234.3i −0.513221 + 0.476200i −0.893747 0.448570i \(-0.851933\pi\)
0.380526 + 0.924770i \(0.375743\pi\)
\(774\) 15530.4 + 2340.83i 0.721225 + 0.108707i
\(775\) 5678.35 + 5268.74i 0.263190 + 0.244205i
\(776\) −20479.8 25680.8i −0.947398 1.18800i
\(777\) −4060.60 34976.6i −0.187481 1.61490i
\(778\) 25006.9 31357.7i 1.15237 1.44502i
\(779\) 24842.2 3744.37i 1.14257 0.172215i
\(780\) −50150.4 34192.0i −2.30214 1.56957i
\(781\) 2141.10 5455.43i 0.0980980 0.249950i
\(782\) 35078.2 + 10820.2i 1.60408 + 0.494794i
\(783\) −15870.5 −0.724350
\(784\) 9298.25 + 58983.6i 0.423572 + 2.68694i
\(785\) 13015.2 0.591761
\(786\) −46622.6 14381.2i −2.11574 0.652620i
\(787\) −4171.51 + 10628.8i −0.188943 + 0.481419i −0.993685 0.112206i \(-0.964208\pi\)
0.804742 + 0.593625i \(0.202304\pi\)
\(788\) −78621.9 53603.5i −3.55430 2.42328i
\(789\) 23531.1 3546.75i 1.06176 0.160035i
\(790\) 30884.0 38727.3i 1.39089 1.74412i
\(791\) −6216.03 + 17958.7i −0.279414 + 0.807256i
\(792\) −10094.0 12657.5i −0.452874 0.567886i
\(793\) 850.465 + 789.116i 0.0380843 + 0.0353371i
\(794\) −960.274 144.738i −0.0429205 0.00646922i
\(795\) −1440.63 + 1336.71i −0.0642691 + 0.0596330i
\(796\) 3470.59 2366.21i 0.154538 0.105362i
\(797\) 6977.47 + 30570.3i 0.310106 + 1.35866i 0.854333 + 0.519726i \(0.173966\pi\)
−0.544227 + 0.838938i \(0.683177\pi\)
\(798\) 10871.5 + 40031.7i 0.482264 + 1.77582i
\(799\) −264.471 + 1158.72i −0.0117100 + 0.0513049i
\(800\) 23844.1 + 60753.7i 1.05377 + 2.68496i
\(801\) 536.858 + 7163.88i 0.0236816 + 0.316009i
\(802\) 6764.22 + 11716.0i 0.297822 + 0.515842i
\(803\) 2109.31 3653.43i 0.0926972 0.160556i
\(804\) 93070.3 + 44820.3i 4.08251 + 1.96603i
\(805\) 1829.35 53748.2i 0.0800947 2.35326i
\(806\) −6761.19 + 3256.02i −0.295475 + 0.142293i
\(807\) 2106.20 28105.3i 0.0918734 1.22596i
\(808\) 12396.7 3823.87i 0.539745 0.166489i
\(809\) 10010.5 3087.84i 0.435045 0.134194i −0.0694944 0.997582i \(-0.522139\pi\)
0.504539 + 0.863389i \(0.331662\pi\)
\(810\) −6040.75 + 80608.2i −0.262037 + 3.49665i
\(811\) −19511.9 + 9396.43i −0.844827 + 0.406847i −0.805655 0.592385i \(-0.798186\pi\)
−0.0391724 + 0.999232i \(0.512472\pi\)
\(812\) 26039.0 + 59136.3i 1.12536 + 2.55576i
\(813\) −2793.52 1345.29i −0.120508 0.0580336i
\(814\) −16281.7 + 28200.7i −0.701071 + 1.21429i
\(815\) −30525.1 52871.0i −1.31196 2.27238i
\(816\) 3288.15 + 43877.4i 0.141064 + 1.88237i
\(817\) 5810.36 + 14804.5i 0.248811 + 0.633960i
\(818\) −3394.61 + 14872.7i −0.145097 + 0.635713i
\(819\) −3967.64 + 5414.13i −0.169280 + 0.230995i
\(820\) −27801.7 121807.i −1.18400 5.18743i
\(821\) 11240.4 7663.55i 0.477821 0.325773i −0.300346 0.953830i \(-0.597102\pi\)
0.778167 + 0.628057i \(0.216150\pi\)
\(822\) −5449.60 + 5056.49i −0.231237 + 0.214556i
\(823\) −3448.81 519.825i −0.146073 0.0220170i 0.0755986 0.997138i \(-0.475913\pi\)
−0.221672 + 0.975121i \(0.571151\pi\)
\(824\) −69382.4 64377.5i −2.93331 2.72172i
\(825\) −12567.4 15759.0i −0.530351 0.665039i
\(826\) 31786.3 + 19823.3i 1.33897 + 0.835036i
\(827\) −13563.0 + 17007.4i −0.570291 + 0.715123i −0.980423 0.196904i \(-0.936911\pi\)
0.410131 + 0.912026i \(0.365483\pi\)
\(828\) −42890.0 + 6464.63i −1.80016 + 0.271330i
\(829\) −27715.4 18896.1i −1.16115 0.791661i −0.179768 0.983709i \(-0.557535\pi\)
−0.981386 + 0.192048i \(0.938487\pi\)
\(830\) −10135.0 + 25823.4i −0.423842 + 1.07993i
\(831\) −8325.14 2567.97i −0.347528 0.107198i
\(832\) −23113.5 −0.963119
\(833\) −1961.62 + 13639.0i −0.0815921 + 0.567304i
\(834\) −31223.3 −1.29637
\(835\) −27530.5 8492.04i −1.14100 0.351951i
\(836\) 10002.2 25485.3i 0.413798 1.05434i
\(837\) 3693.97 + 2518.51i 0.152548 + 0.104005i
\(838\) −86807.3 + 13084.1i −3.57841 + 0.539359i
\(839\) 6683.51 8380.85i 0.275018 0.344862i −0.625071 0.780568i \(-0.714930\pi\)
0.900089 + 0.435706i \(0.143501\pi\)
\(840\) 116458. 41192.6i 4.78357 1.69200i
\(841\) 3881.23 + 4866.91i 0.159138 + 0.199553i
\(842\) −33965.8 31515.7i −1.39019 1.28991i
\(843\) 7963.14 + 1200.25i 0.325344 + 0.0490378i
\(844\) −59610.1 + 55310.1i −2.43112 + 2.25575i
\(845\) −18977.4 + 12938.5i −0.772593 + 0.526745i
\(846\) −437.864 1918.41i −0.0177944 0.0779623i
\(847\) 3095.61 16668.7i 0.125580 0.676202i
\(848\) −720.374 + 3156.17i −0.0291719 + 0.127810i
\(849\) 10291.5 + 26222.2i 0.416021 + 1.06001i
\(850\) 2493.88 + 33278.5i 0.100634 + 1.34287i
\(851\) 26120.3 + 45241.7i 1.05216 + 1.82240i
\(852\) 18032.7 31233.5i 0.725104 1.25592i
\(853\) 32172.4 + 15493.4i 1.29140 + 0.621905i 0.948294 0.317392i \(-0.102807\pi\)
0.343105 + 0.939297i \(0.388521\pi\)
\(854\) −3871.88 + 746.154i −0.155144 + 0.0298980i
\(855\) 12825.6 6176.47i 0.513012 0.247053i
\(856\) 4297.89 57351.3i 0.171611 2.28998i
\(857\) 5738.00 1769.94i 0.228712 0.0705484i −0.178281 0.983980i \(-0.557054\pi\)
0.406993 + 0.913431i \(0.366577\pi\)
\(858\) 18659.7 5755.76i 0.742462 0.229019i
\(859\) −125.332 + 1672.44i −0.00497821 + 0.0664296i −0.999140 0.0414738i \(-0.986795\pi\)
0.994161 + 0.107903i \(0.0344137\pi\)
\(860\) 71260.1 34317.0i 2.82552 1.36070i
\(861\) −42678.7 + 8224.65i −1.68930 + 0.325546i
\(862\) −9202.67 4431.77i −0.363624 0.175112i
\(863\) 8964.02 15526.1i 0.353579 0.612417i −0.633295 0.773911i \(-0.718298\pi\)
0.986874 + 0.161494i \(0.0516312\pi\)
\(864\) 18834.4 + 32622.2i 0.741621 + 1.28453i
\(865\) −72.2449 964.041i −0.00283977 0.0378941i
\(866\) −6280.00 16001.2i −0.246424 0.627878i
\(867\) 4618.74 20236.0i 0.180923 0.792677i
\(868\) 3323.64 17896.5i 0.129967 0.699824i
\(869\) 2530.74 + 11087.9i 0.0987909 + 0.432831i
\(870\) 80756.6 55058.9i 3.14702 2.14560i
\(871\) −17385.9 + 16131.7i −0.676346 + 0.627558i
\(872\) 91328.6 + 13765.6i 3.54676 + 0.534588i
\(873\) 4800.53 + 4454.24i 0.186109 + 0.172684i
\(874\) −38371.4 48116.3i −1.48505 1.86219i
\(875\) 9430.89 3335.81i 0.364368 0.128881i
\(876\) 16186.4 20297.1i 0.624301 0.782849i
\(877\) −42734.2 + 6441.14i −1.64542 + 0.248007i −0.905394 0.424573i \(-0.860424\pi\)
−0.740024 + 0.672580i \(0.765186\pi\)
\(878\) 30449.7 + 20760.3i 1.17042 + 0.797979i
\(879\) 22510.5 57355.7i 0.863776 2.20087i
\(880\) −56964.8 17571.3i −2.18214 0.673101i
\(881\) 39096.2 1.49510 0.747551 0.664204i \(-0.231229\pi\)
0.747551 + 0.664204i \(0.231229\pi\)
\(882\) −6871.47 21754.0i −0.262329 0.830492i
\(883\) −39142.0 −1.49177 −0.745884 0.666075i \(-0.767973\pi\)
−0.745884 + 0.666075i \(0.767973\pi\)
\(884\) −22048.0 6800.91i −0.838862 0.258755i
\(885\) 14774.6 37645.1i 0.561179 1.42986i
\(886\) −46176.1 31482.3i −1.75092 1.19376i
\(887\) 2756.53 415.479i 0.104346 0.0157277i −0.0966616 0.995317i \(-0.530816\pi\)
0.201008 + 0.979590i \(0.435578\pi\)
\(888\) −74815.3 + 93815.4i −2.82729 + 3.54531i
\(889\) −23515.7 14665.3i −0.887165 0.553272i
\(890\) 31606.1 + 39632.7i 1.19038 + 1.49269i
\(891\) −13605.1 12623.7i −0.511547 0.474646i
\(892\) 23412.6 + 3528.89i 0.878826 + 0.132462i
\(893\) 1460.65 1355.29i 0.0547356 0.0507872i
\(894\) −39457.1 + 26901.4i −1.47611 + 1.00640i
\(895\) 15775.3 + 69116.0i 0.589172 + 2.58133i
\(896\) 10064.4 13733.6i 0.375254 0.512062i
\(897\) 6970.94 30541.7i 0.259479 1.13685i
\(898\) 30569.3 + 77889.2i 1.13598 + 2.89443i
\(899\) −644.485 8600.05i −0.0239096 0.319052i
\(900\) −19715.6 34148.4i −0.730207 1.26476i
\(901\) −373.529 + 646.972i −0.0138114 + 0.0239220i
\(902\) 36214.5 + 17440.0i 1.33682 + 0.643779i
\(903\) −11088.0 25181.7i −0.408623 0.928010i
\(904\) 58348.9 28099.4i 2.14674 1.03382i
\(905\) −5251.74 + 70079.6i −0.192899 + 2.57406i
\(906\) 48911.7 15087.3i 1.79358 0.553246i
\(907\) 29435.6 9079.67i 1.07761 0.332399i 0.295374 0.955382i \(-0.404556\pi\)
0.782235 + 0.622983i \(0.214079\pi\)
\(908\) −4315.03 + 57580.0i −0.157708 + 2.10447i
\(909\) −2330.29 + 1122.21i −0.0850285 + 0.0409476i
\(910\) −1611.13 + 47336.6i −0.0586905 + 1.72439i
\(911\) −34592.0 16658.6i −1.25805 0.605846i −0.318393 0.947959i \(-0.603143\pi\)
−0.939659 + 0.342113i \(0.888857\pi\)
\(912\) 36883.5 63884.1i 1.33918 2.31953i
\(913\) −3184.68 5516.02i −0.115441 0.199949i
\(914\) −5286.65 70545.4i −0.191320 2.55299i
\(915\) 1555.16 + 3962.49i 0.0561881 + 0.143165i
\(916\) −17300.2 + 75796.9i −0.624032 + 2.73406i
\(917\) 7121.07 + 26221.6i 0.256443 + 0.944291i
\(918\) 4285.99 + 18778.1i 0.154094 + 0.675132i
\(919\) 18807.4 12822.6i 0.675079 0.460261i −0.176629 0.984277i \(-0.556519\pi\)
0.851708 + 0.524016i \(0.175567\pi\)
\(920\) −134346. + 124655.i −4.81443 + 4.46714i
\(921\) −61149.5 9216.81i −2.18778 0.329755i
\(922\) 47599.0 + 44165.4i 1.70020 + 1.57756i
\(923\) 5162.73 + 6473.86i 0.184110 + 0.230866i
\(924\) −15492.7 + 44759.8i −0.551592 + 1.59360i
\(925\) −29610.4 + 37130.2i −1.05252 + 1.31982i
\(926\) −26755.1 + 4032.68i −0.949490 + 0.143113i
\(927\) 15591.2 + 10629.9i 0.552407 + 0.376625i
\(928\) 26546.7 67639.9i 0.939049 2.39266i
\(929\) −41136.2 12688.8i −1.45278 0.448124i −0.534879 0.844928i \(-0.679643\pi\)
−0.917903 + 0.396804i \(0.870119\pi\)
\(930\) −27534.0 −0.970834
\(931\) 15598.1 17040.1i 0.549093 0.599858i
\(932\) −51021.3 −1.79320
\(933\) 14384.9 + 4437.14i 0.504758 + 0.155697i
\(934\) 5514.05 14049.6i 0.193175 0.492202i
\(935\) −11366.2 7749.35i −0.397556 0.271049i
\(936\) 22618.8 3409.23i 0.789870 0.119054i
\(937\) 27783.8 34839.8i 0.968685 1.21469i −0.00798975 0.999968i \(-0.502543\pi\)
0.976675 0.214724i \(-0.0688853\pi\)
\(938\) −9295.77 80070.7i −0.323580 2.78721i
\(939\) 12799.1 + 16049.6i 0.444817 + 0.557783i
\(940\) −7264.05 6740.05i −0.252050 0.233868i
\(941\) −31597.1 4762.49i −1.09462 0.164987i −0.423178 0.906047i \(-0.639086\pi\)
−0.671439 + 0.741059i \(0.734324\pi\)
\(942\) −18889.0 + 17526.4i −0.653330 + 0.606202i
\(943\) 53279.3 36325.2i 1.83988 1.25441i
\(944\) −14823.7 64947.0i −0.511093 2.23924i
\(945\) 24903.1 13269.5i 0.857246 0.456778i
\(946\) −5662.13 + 24807.4i −0.194600 + 0.852599i
\(947\) −15745.2 40118.2i −0.540287 1.37663i −0.896841 0.442354i \(-0.854144\pi\)
0.356554 0.934275i \(-0.383952\pi\)
\(948\) 5230.25 + 69792.9i 0.179188 + 2.39110i
\(949\) 2980.24 + 5161.93i 0.101942 + 0.176568i
\(950\) 27974.0 48452.4i 0.955365 1.65474i
\(951\) −14994.8 7221.13i −0.511294 0.246226i
\(952\) 37687.5 28011.8i 1.28305 0.953641i
\(953\) −37852.3 + 18228.7i −1.28663 + 0.619607i −0.947085 0.320984i \(-0.895986\pi\)
−0.339542 + 0.940591i \(0.610272\pi\)
\(954\) 92.4296 1233.39i 0.00313681 0.0418579i
\(955\) −13870.9 + 4278.61i −0.470002 + 0.144977i
\(956\) 4427.28 1365.64i 0.149779 0.0462007i
\(957\) −1677.03 + 22378.4i −0.0566464 + 0.755894i
\(958\) −73905.0 + 35590.8i −2.49244 + 1.20030i
\(959\) 4002.61 + 1058.02i 0.134777 + 0.0356259i
\(960\) −76406.6 36795.5i −2.56876 1.23705i
\(961\) 13680.8 23695.8i 0.459225 0.795400i
\(962\) −23004.4 39844.8i −0.770989 1.33539i
\(963\) 856.868 + 11434.1i 0.0286731 + 0.382616i
\(964\) 17751.7 + 45230.5i 0.593095 + 1.51118i
\(965\) 4999.05 21902.3i 0.166762 0.730632i
\(966\) 69723.2 + 80468.5i 2.32226 + 2.68016i
\(967\) −7714.65 33800.1i −0.256553 1.12403i −0.924909 0.380189i \(-0.875859\pi\)
0.668356 0.743841i \(-0.266998\pi\)
\(968\) −47736.0 + 32545.8i −1.58501 + 1.08064i
\(969\) 12478.5 11578.4i 0.413693 0.383851i
\(970\) 45693.4 + 6887.17i 1.51250 + 0.227973i
\(971\) −13171.4 12221.2i −0.435313 0.403911i 0.431842 0.901949i \(-0.357864\pi\)
−0.867155 + 0.498038i \(0.834054\pi\)
\(972\) −40763.6 51115.9i −1.34516 1.68677i
\(973\) 9300.83 + 14691.8i 0.306445 + 0.484067i
\(974\) 10274.3 12883.6i 0.337998 0.423837i
\(975\) 28161.0 4244.59i 0.925000 0.139421i
\(976\) 5793.65 + 3950.05i 0.190011 + 0.129547i
\(977\) −19228.1 + 48992.5i −0.629644 + 1.60431i 0.157487 + 0.987521i \(0.449661\pi\)
−0.787131 + 0.616785i \(0.788435\pi\)
\(978\) 115498. + 35626.4i 3.77629 + 1.16483i
\(979\) −11638.9 −0.379961
\(980\) −90303.1 71021.8i −2.94350 2.31501i
\(981\) −18413.8 −0.599294
\(982\) 80190.9 + 24735.6i 2.60590 + 0.803814i
\(983\) 5873.71 14966.0i 0.190582 0.485596i −0.803361 0.595493i \(-0.796957\pi\)
0.993943 + 0.109897i \(0.0350521\pi\)
\(984\) 122380. + 83437.4i 3.96477 + 2.70314i
\(985\) 79264.1 11947.1i 2.56402 0.386464i
\(986\) 23165.3 29048.4i 0.748210 0.938225i
\(987\) −2429.33 + 2445.79i −0.0783448 + 0.0788758i
\(988\) 24117.9 + 30242.9i 0.776613 + 0.973842i
\(989\) 29924.2 + 27765.6i 0.962118 + 0.892715i
\(990\) 22521.3 + 3394.54i 0.723004 + 0.108975i
\(991\) −9126.83 + 8468.46i −0.292556 + 0.271453i −0.812771 0.582583i \(-0.802042\pi\)
0.520215 + 0.854035i \(0.325852\pi\)
\(992\) −16912.8 + 11530.9i −0.541311 + 0.369060i
\(993\) −815.754 3574.05i −0.0260696 0.114219i
\(994\) −28119.5 + 1147.28i −0.897280 + 0.0366090i
\(995\) −787.382 + 3449.75i −0.0250871 + 0.109914i
\(996\) −14320.1 36486.9i −0.455571 1.16078i
\(997\) −2808.03 37470.5i −0.0891988 1.19027i −0.844741 0.535175i \(-0.820246\pi\)
0.755542 0.655100i \(-0.227373\pi\)
\(998\) −45189.0 78269.6i −1.43330 2.48255i
\(999\) −13705.2 + 23738.1i −0.434047 + 0.751791i
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 49.4.g.a.2.13 156
49.5 odd 42 2401.4.a.f.1.76 78
49.25 even 21 inner 49.4.g.a.25.13 yes 156
49.44 even 21 2401.4.a.g.1.76 78
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
49.4.g.a.2.13 156 1.1 even 1 trivial
49.4.g.a.25.13 yes 156 49.25 even 21 inner
2401.4.a.f.1.76 78 49.5 odd 42
2401.4.a.g.1.76 78 49.44 even 21