Properties

Label 98.4.g.a.11.4
Level $98$
Weight $4$
Character 98.11
Analytic conductor $5.782$
Analytic rank $0$
Dimension $84$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [98,4,Mod(9,98)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(98, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([2]))
 
N = Newforms(chi, 4, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("98.9");
 
S:= CuspForms(chi, 4);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 98 = 2 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 98.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: \(5.78218718056\)
Analytic rank: \(0\)
Dimension: \(84\)
Relative dimension: \(7\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 11.4
Character \(\chi\) \(=\) 98.11
Dual form 98.4.g.a.9.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.46610 - 1.36035i) q^{2} +(-0.505429 + 0.0761811i) q^{3} +(0.298920 - 3.98882i) q^{4} +(-7.88312 + 20.0859i) q^{5} +(-0.637378 + 0.799247i) q^{6} +(-15.6857 + 9.84680i) q^{7} +(-4.98792 - 6.25465i) q^{8} +(-25.5508 + 7.88138i) q^{9} +O(q^{10})\) \(q+(1.46610 - 1.36035i) q^{2} +(-0.505429 + 0.0761811i) q^{3} +(0.298920 - 3.98882i) q^{4} +(-7.88312 + 20.0859i) q^{5} +(-0.637378 + 0.799247i) q^{6} +(-15.6857 + 9.84680i) q^{7} +(-4.98792 - 6.25465i) q^{8} +(-25.5508 + 7.88138i) q^{9} +(15.7662 + 40.1717i) q^{10} +(18.2845 + 5.64002i) q^{11} +(0.152789 + 2.03883i) q^{12} +(-5.85564 - 25.6552i) q^{13} +(-9.60179 + 35.7744i) q^{14} +(2.45419 - 10.7525i) q^{15} +(-15.8213 - 2.38468i) q^{16} +(41.0061 - 27.9575i) q^{17} +(-26.7387 + 46.3129i) q^{18} +(80.8866 + 140.100i) q^{19} +(77.7623 + 37.4484i) q^{20} +(7.17786 - 6.17181i) q^{21} +(34.4793 - 16.6044i) q^{22} +(-76.3749 - 52.0715i) q^{23} +(2.99752 + 2.78130i) q^{24} +(-249.667 - 231.657i) q^{25} +(-43.4849 - 29.6475i) q^{26} +(24.7477 - 11.9179i) q^{27} +(34.5883 + 65.5107i) q^{28} +(178.626 + 86.0216i) q^{29} +(-11.0290 - 19.1029i) q^{30} +(-79.1498 + 137.092i) q^{31} +(-26.4396 + 18.0262i) q^{32} +(-9.67117 - 1.45769i) q^{33} +(22.0874 - 96.7711i) q^{34} +(-74.1292 - 392.684i) q^{35} +(23.7997 + 104.273i) q^{36} +(1.62529 + 21.6880i) q^{37} +(309.172 + 95.3669i) q^{38} +(4.91405 + 12.5208i) q^{39} +(164.950 - 50.8805i) q^{40} +(29.0563 + 36.4355i) q^{41} +(2.12769 - 18.8129i) q^{42} +(-152.849 + 191.666i) q^{43} +(27.9626 - 71.2475i) q^{44} +(43.1158 - 575.340i) q^{45} +(-182.809 + 27.5540i) q^{46} +(94.7750 - 87.9384i) q^{47} +8.17820 q^{48} +(149.081 - 308.907i) q^{49} -681.170 q^{50} +(-18.5958 + 17.2544i) q^{51} +(-104.084 + 15.6882i) q^{52} +(-24.3773 + 325.293i) q^{53} +(20.0703 - 51.1383i) q^{54} +(-257.423 + 322.799i) q^{55} +(139.827 + 48.9935i) q^{56} +(-51.5554 - 64.6484i) q^{57} +(378.903 - 116.876i) q^{58} +(-196.813 - 501.472i) q^{59} +(-42.1562 - 13.0035i) q^{60} +(26.0290 + 347.332i) q^{61} +(70.4500 + 308.662i) q^{62} +(323.176 - 375.218i) q^{63} +(-14.2413 + 62.3954i) q^{64} +(561.468 + 84.6277i) q^{65} +(-16.1619 + 11.0190i) q^{66} +(137.562 - 238.264i) q^{67} +(-99.2597 - 171.923i) q^{68} +(42.5689 + 20.5001i) q^{69} +(-642.867 - 474.874i) q^{70} +(-577.668 + 278.190i) q^{71} +(176.741 + 120.500i) q^{72} +(655.415 + 608.136i) q^{73} +(31.8860 + 29.5859i) q^{74} +(143.837 + 98.0661i) q^{75} +(583.010 - 280.763i) q^{76} +(-342.341 + 91.5761i) q^{77} +(24.2371 + 11.6720i) q^{78} +(345.071 + 597.680i) q^{79} +(172.619 - 298.986i) q^{80} +(584.899 - 398.778i) q^{81} +(92.1644 + 13.8916i) q^{82} +(-179.268 + 785.426i) q^{83} +(-22.4726 - 30.4760i) q^{84} +(238.294 + 1044.03i) q^{85} +(36.6402 + 488.930i) q^{86} +(-96.8357 - 29.8699i) q^{87} +(-55.9252 - 142.495i) q^{88} +(-686.616 + 211.793i) q^{89} +(-719.449 - 902.160i) q^{90} +(344.471 + 344.760i) q^{91} +(-230.534 + 289.080i) q^{92} +(29.5608 - 75.3197i) q^{93} +(19.3234 - 257.854i) q^{94} +(-3451.66 + 520.254i) q^{95} +(11.9901 - 11.1252i) q^{96} +1709.70 q^{97} +(-201.652 - 655.692i) q^{98} -511.635 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 84 q - 14 q^{2} - 8 q^{3} + 28 q^{4} + 7 q^{5} + 10 q^{6} + 20 q^{7} + 112 q^{8} + 189 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 84 q - 14 q^{2} - 8 q^{3} + 28 q^{4} + 7 q^{5} + 10 q^{6} + 20 q^{7} + 112 q^{8} + 189 q^{9} - 14 q^{10} - 77 q^{11} - 4 q^{12} - 62 q^{13} - 34 q^{14} - 217 q^{15} + 112 q^{16} - 165 q^{17} + 798 q^{18} + 25 q^{19} + 56 q^{20} + 394 q^{21} - 210 q^{22} + 329 q^{23} + 8 q^{24} + 126 q^{25} - 398 q^{26} - 1058 q^{27} + 132 q^{28} + 7 q^{29} - 70 q^{30} - 793 q^{31} - 224 q^{32} + 875 q^{33} + 222 q^{34} - 1260 q^{35} - 924 q^{36} + 2540 q^{38} + 1799 q^{39} + 280 q^{40} + 1220 q^{41} + 1482 q^{42} - 770 q^{43} - 112 q^{44} - 2030 q^{45} - 1834 q^{46} - 1438 q^{47} + 32 q^{48} - 2626 q^{49} - 4396 q^{50} - 2569 q^{51} - 688 q^{52} - 2744 q^{53} + 62 q^{54} + 343 q^{55} - 216 q^{56} - 2058 q^{57} + 3976 q^{58} + 396 q^{59} + 1316 q^{60} + 4930 q^{61} + 1560 q^{62} + 4717 q^{63} - 896 q^{64} + 238 q^{65} - 1624 q^{66} + 2695 q^{67} + 1076 q^{68} - 931 q^{69} - 742 q^{70} - 539 q^{71} - 336 q^{72} + 1989 q^{73} - 1176 q^{74} - 2780 q^{75} - 1096 q^{76} + 4627 q^{77} + 336 q^{78} - 1197 q^{79} + 112 q^{80} + 9674 q^{81} + 1220 q^{82} + 831 q^{83} - 404 q^{84} + 161 q^{85} - 3122 q^{86} + 9477 q^{87} + 224 q^{88} - 7537 q^{89} - 4214 q^{90} + 4351 q^{91} - 2044 q^{92} - 8176 q^{93} + 3072 q^{94} - 11753 q^{95} + 32 q^{96} + 13530 q^{97} + 862 q^{98} + 6090 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/98\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{20}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.46610 1.36035i 0.518346 0.480955i
\(3\) −0.505429 + 0.0761811i −0.0972698 + 0.0146611i −0.197497 0.980304i \(-0.563281\pi\)
0.100227 + 0.994965i \(0.468043\pi\)
\(4\) 0.298920 3.98882i 0.0373650 0.498602i
\(5\) −7.88312 + 20.0859i −0.705088 + 1.79653i −0.108325 + 0.994115i \(0.534549\pi\)
−0.596762 + 0.802418i \(0.703546\pi\)
\(6\) −0.637378 + 0.799247i −0.0433681 + 0.0543819i
\(7\) −15.6857 + 9.84680i −0.846947 + 0.531677i
\(8\) −4.98792 6.25465i −0.220437 0.276419i
\(9\) −25.5508 + 7.88138i −0.946326 + 0.291903i
\(10\) 15.7662 + 40.1717i 0.498572 + 1.27034i
\(11\) 18.2845 + 5.64002i 0.501180 + 0.154594i 0.535030 0.844833i \(-0.320300\pi\)
−0.0338494 + 0.999427i \(0.510777\pi\)
\(12\) 0.152789 + 2.03883i 0.00367554 + 0.0490467i
\(13\) −5.85564 25.6552i −0.124928 0.547344i −0.998192 0.0600983i \(-0.980859\pi\)
0.873265 0.487246i \(-0.161999\pi\)
\(14\) −9.60179 + 35.7744i −0.183299 + 0.682936i
\(15\) 2.45419 10.7525i 0.0422446 0.185086i
\(16\) −15.8213 2.38468i −0.247208 0.0372606i
\(17\) 41.0061 27.9575i 0.585026 0.398864i −0.234323 0.972159i \(-0.575287\pi\)
0.819349 + 0.573295i \(0.194335\pi\)
\(18\) −26.7387 + 46.3129i −0.350132 + 0.606447i
\(19\) 80.8866 + 140.100i 0.976666 + 1.69163i 0.674324 + 0.738435i \(0.264435\pi\)
0.302342 + 0.953200i \(0.402232\pi\)
\(20\) 77.7623 + 37.4484i 0.869409 + 0.418686i
\(21\) 7.17786 6.17181i 0.0745875 0.0641333i
\(22\) 34.4793 16.6044i 0.334137 0.160912i
\(23\) −76.3749 52.0715i −0.692403 0.472072i 0.165283 0.986246i \(-0.447146\pi\)
−0.857686 + 0.514174i \(0.828099\pi\)
\(24\) 2.99752 + 2.78130i 0.0254945 + 0.0236554i
\(25\) −249.667 231.657i −1.99733 1.85325i
\(26\) −43.4849 29.6475i −0.328004 0.223629i
\(27\) 24.7477 11.9179i 0.176396 0.0849480i
\(28\) 34.5883 + 65.5107i 0.233449 + 0.442156i
\(29\) 178.626 + 86.0216i 1.14379 + 0.550821i 0.907163 0.420780i \(-0.138243\pi\)
0.236628 + 0.971600i \(0.423958\pi\)
\(30\) −11.0290 19.1029i −0.0671206 0.116256i
\(31\) −79.1498 + 137.092i −0.458572 + 0.794270i −0.998886 0.0471936i \(-0.984972\pi\)
0.540314 + 0.841464i \(0.318306\pi\)
\(32\) −26.4396 + 18.0262i −0.146060 + 0.0995819i
\(33\) −9.67117 1.45769i −0.0510162 0.00768946i
\(34\) 22.0874 96.7711i 0.111410 0.488121i
\(35\) −74.1292 392.684i −0.358004 1.89645i
\(36\) 23.7997 + 104.273i 0.110184 + 0.482747i
\(37\) 1.62529 + 21.6880i 0.00722152 + 0.0963645i 0.999650 0.0264606i \(-0.00842364\pi\)
−0.992428 + 0.122825i \(0.960805\pi\)
\(38\) 309.172 + 95.3669i 1.31985 + 0.407120i
\(39\) 4.91405 + 12.5208i 0.0201764 + 0.0514085i
\(40\) 164.950 50.8805i 0.652024 0.201123i
\(41\) 29.0563 + 36.4355i 0.110679 + 0.138787i 0.834085 0.551636i \(-0.185996\pi\)
−0.723406 + 0.690423i \(0.757425\pi\)
\(42\) 2.12769 18.8129i 0.00781690 0.0691164i
\(43\) −152.849 + 191.666i −0.542075 + 0.679740i −0.975132 0.221626i \(-0.928864\pi\)
0.433057 + 0.901367i \(0.357435\pi\)
\(44\) 27.9626 71.2475i 0.0958073 0.244113i
\(45\) 43.1158 575.340i 0.142829 1.90592i
\(46\) −182.809 + 27.5540i −0.585950 + 0.0883177i
\(47\) 94.7750 87.9384i 0.294135 0.272918i −0.519276 0.854607i \(-0.673798\pi\)
0.813411 + 0.581689i \(0.197608\pi\)
\(48\) 8.17820 0.0245921
\(49\) 149.081 308.907i 0.434639 0.900605i
\(50\) −681.170 −1.92664
\(51\) −18.5958 + 17.2544i −0.0510576 + 0.0473745i
\(52\) −104.084 + 15.6882i −0.277575 + 0.0418377i
\(53\) −24.3773 + 325.293i −0.0631790 + 0.843065i 0.872139 + 0.489257i \(0.162732\pi\)
−0.935318 + 0.353807i \(0.884887\pi\)
\(54\) 20.0703 51.1383i 0.0505782 0.128871i
\(55\) −257.423 + 322.799i −0.631108 + 0.791385i
\(56\) 139.827 + 48.9935i 0.333664 + 0.116911i
\(57\) −51.5554 64.6484i −0.119801 0.150226i
\(58\) 378.903 116.876i 0.857799 0.264596i
\(59\) −196.813 501.472i −0.434286 1.10654i −0.965753 0.259464i \(-0.916454\pi\)
0.531466 0.847080i \(-0.321641\pi\)
\(60\) −42.1562 13.0035i −0.0907057 0.0279790i
\(61\) 26.0290 + 347.332i 0.0546339 + 0.729038i 0.955509 + 0.294961i \(0.0953066\pi\)
−0.900876 + 0.434078i \(0.857074\pi\)
\(62\) 70.4500 + 308.662i 0.144309 + 0.632259i
\(63\) 323.176 375.218i 0.646290 0.750366i
\(64\) −14.2413 + 62.3954i −0.0278151 + 0.121866i
\(65\) 561.468 + 84.6277i 1.07141 + 0.161489i
\(66\) −16.1619 + 11.0190i −0.0301423 + 0.0205507i
\(67\) 137.562 238.264i 0.250834 0.434457i −0.712922 0.701244i \(-0.752629\pi\)
0.963756 + 0.266787i \(0.0859619\pi\)
\(68\) −99.2597 171.923i −0.177015 0.306599i
\(69\) 42.5689 + 20.5001i 0.0742710 + 0.0357670i
\(70\) −642.867 474.874i −1.09768 0.810833i
\(71\) −577.668 + 278.190i −0.965586 + 0.465002i −0.849124 0.528193i \(-0.822870\pi\)
−0.116462 + 0.993195i \(0.537155\pi\)
\(72\) 176.741 + 120.500i 0.289293 + 0.197237i
\(73\) 655.415 + 608.136i 1.05083 + 0.975027i 0.999720 0.0236665i \(-0.00753398\pi\)
0.0511089 + 0.998693i \(0.483724\pi\)
\(74\) 31.8860 + 29.5859i 0.0500902 + 0.0464769i
\(75\) 143.837 + 98.0661i 0.221451 + 0.150983i
\(76\) 583.010 280.763i 0.879946 0.423759i
\(77\) −342.341 + 91.5761i −0.506667 + 0.135533i
\(78\) 24.2371 + 11.6720i 0.0351835 + 0.0169435i
\(79\) 345.071 + 597.680i 0.491437 + 0.851193i 0.999951 0.00985995i \(-0.00313857\pi\)
−0.508515 + 0.861053i \(0.669805\pi\)
\(80\) 172.619 298.986i 0.241243 0.417845i
\(81\) 584.899 398.778i 0.802331 0.547020i
\(82\) 92.1644 + 13.8916i 0.124120 + 0.0187081i
\(83\) −179.268 + 785.426i −0.237075 + 1.03870i 0.706546 + 0.707668i \(0.250253\pi\)
−0.943621 + 0.331028i \(0.892605\pi\)
\(84\) −22.4726 30.4760i −0.0291900 0.0395858i
\(85\) 238.294 + 1044.03i 0.304078 + 1.33225i
\(86\) 36.6402 + 488.930i 0.0459421 + 0.613054i
\(87\) −96.8357 29.8699i −0.119332 0.0368090i
\(88\) −55.9252 142.495i −0.0677460 0.172614i
\(89\) −686.616 + 211.793i −0.817766 + 0.252247i −0.675291 0.737551i \(-0.735982\pi\)
−0.142475 + 0.989798i \(0.545506\pi\)
\(90\) −719.449 902.160i −0.842628 1.05662i
\(91\) 344.471 + 344.760i 0.396818 + 0.397151i
\(92\) −230.534 + 289.080i −0.261248 + 0.327594i
\(93\) 29.5608 75.3197i 0.0329604 0.0839817i
\(94\) 19.3234 257.854i 0.0212028 0.282931i
\(95\) −3451.66 + 520.254i −3.72771 + 0.561863i
\(96\) 11.9901 11.1252i 0.0127472 0.0118277i
\(97\) 1709.70 1.78963 0.894815 0.446438i \(-0.147308\pi\)
0.894815 + 0.446438i \(0.147308\pi\)
\(98\) −201.652 655.692i −0.207857 0.675867i
\(99\) −511.635 −0.519406
\(100\) −998.667 + 926.627i −0.998667 + 0.926627i
\(101\) −177.750 + 26.7915i −0.175117 + 0.0263946i −0.236015 0.971749i \(-0.575842\pi\)
0.0608984 + 0.998144i \(0.480603\pi\)
\(102\) −3.79146 + 50.5935i −0.00368049 + 0.0491128i
\(103\) −398.427 + 1015.17i −0.381147 + 0.971147i 0.603621 + 0.797272i \(0.293724\pi\)
−0.984768 + 0.173875i \(0.944371\pi\)
\(104\) −131.257 + 164.591i −0.123758 + 0.155187i
\(105\) 67.3821 + 192.826i 0.0626269 + 0.179218i
\(106\) 406.771 + 510.075i 0.372727 + 0.467385i
\(107\) 855.298 263.824i 0.772755 0.238363i 0.116792 0.993156i \(-0.462739\pi\)
0.655963 + 0.754793i \(0.272263\pi\)
\(108\) −40.1406 102.277i −0.0357642 0.0911256i
\(109\) −63.1739 19.4866i −0.0555134 0.0171236i 0.266874 0.963731i \(-0.414009\pi\)
−0.322387 + 0.946608i \(0.604485\pi\)
\(110\) 61.7084 + 823.441i 0.0534879 + 0.713746i
\(111\) −2.47369 10.8379i −0.00211524 0.00926748i
\(112\) 271.649 118.384i 0.229182 0.0998769i
\(113\) 263.624 1155.01i 0.219466 0.961542i −0.738408 0.674354i \(-0.764422\pi\)
0.957874 0.287189i \(-0.0927206\pi\)
\(114\) −163.530 24.6481i −0.134350 0.0202501i
\(115\) 1647.97 1123.57i 1.33630 0.911073i
\(116\) 396.519 686.791i 0.317378 0.549715i
\(117\) 351.815 + 609.361i 0.277994 + 0.481500i
\(118\) −970.724 467.476i −0.757308 0.364700i
\(119\) −367.917 + 842.311i −0.283419 + 0.648862i
\(120\) −79.4945 + 38.2826i −0.0604736 + 0.0291225i
\(121\) −797.211 543.529i −0.598956 0.408362i
\(122\) 510.653 + 473.817i 0.378954 + 0.351618i
\(123\) −17.4616 16.2020i −0.0128005 0.0118771i
\(124\) 523.173 + 356.694i 0.378890 + 0.258323i
\(125\) 4191.10 2018.33i 2.99891 1.44420i
\(126\) −36.6178 989.740i −0.0258903 0.699786i
\(127\) 431.082 + 207.598i 0.301200 + 0.145050i 0.578379 0.815768i \(-0.303685\pi\)
−0.277179 + 0.960818i \(0.589400\pi\)
\(128\) 64.0000 + 110.851i 0.0441942 + 0.0765466i
\(129\) 62.6528 108.518i 0.0427618 0.0740656i
\(130\) 938.293 639.717i 0.633029 0.431592i
\(131\) 1033.80 + 155.820i 0.689491 + 0.103924i 0.484436 0.874827i \(-0.339025\pi\)
0.205055 + 0.978751i \(0.434263\pi\)
\(132\) −8.70538 + 38.1408i −0.00574020 + 0.0251495i
\(133\) −2648.29 1401.09i −1.72659 0.913455i
\(134\) −122.442 536.452i −0.0789354 0.345839i
\(135\) 44.2915 + 591.029i 0.0282371 + 0.376798i
\(136\) −379.399 117.029i −0.239215 0.0737880i
\(137\) −1061.34 2704.25i −0.661872 1.68642i −0.725297 0.688436i \(-0.758298\pi\)
0.0634253 0.997987i \(-0.479798\pi\)
\(138\) 90.2977 27.8532i 0.0557004 0.0171813i
\(139\) −1008.30 1264.37i −0.615274 0.771529i 0.372397 0.928074i \(-0.378536\pi\)
−0.987671 + 0.156544i \(0.949965\pi\)
\(140\) −1588.50 + 178.307i −0.958949 + 0.107640i
\(141\) −41.2028 + 51.6666i −0.0246092 + 0.0308590i
\(142\) −468.487 + 1193.68i −0.276863 + 0.705435i
\(143\) 37.6286 502.119i 0.0220046 0.293631i
\(144\) 423.041 63.7632i 0.244816 0.0369000i
\(145\) −3135.94 + 2909.73i −1.79604 + 1.66648i
\(146\) 1788.18 1.01364
\(147\) −51.8170 + 167.488i −0.0290735 + 0.0939739i
\(148\) 86.9953 0.0483174
\(149\) 2301.73 2135.69i 1.26554 1.17425i 0.289373 0.957217i \(-0.406553\pi\)
0.976165 0.217030i \(-0.0696371\pi\)
\(150\) 344.283 51.8923i 0.187404 0.0282466i
\(151\) −191.803 + 2559.43i −0.103369 + 1.37936i 0.668564 + 0.743655i \(0.266909\pi\)
−0.771932 + 0.635705i \(0.780710\pi\)
\(152\) 472.819 1204.72i 0.252307 0.642868i
\(153\) −827.396 + 1037.52i −0.437196 + 0.548226i
\(154\) −377.332 + 599.962i −0.197443 + 0.313937i
\(155\) −2129.65 2670.50i −1.10360 1.38387i
\(156\) 51.4121 15.8585i 0.0263863 0.00813909i
\(157\) −458.237 1167.57i −0.232938 0.593517i 0.765835 0.643037i \(-0.222326\pi\)
−0.998773 + 0.0495201i \(0.984231\pi\)
\(158\) 1318.96 + 406.846i 0.664120 + 0.204854i
\(159\) −12.4602 166.270i −0.00621482 0.0829310i
\(160\) −153.646 673.166i −0.0759172 0.332615i
\(161\) 1710.73 + 64.7294i 0.837419 + 0.0316857i
\(162\) 315.048 1380.31i 0.152793 0.669431i
\(163\) 731.224 + 110.214i 0.351374 + 0.0529611i 0.322358 0.946618i \(-0.395525\pi\)
0.0290159 + 0.999579i \(0.490763\pi\)
\(164\) 154.020 105.009i 0.0733350 0.0499989i
\(165\) 105.518 182.763i 0.0497853 0.0862306i
\(166\) 805.625 + 1395.38i 0.376678 + 0.652426i
\(167\) 1239.43 + 596.879i 0.574312 + 0.276574i 0.698412 0.715696i \(-0.253890\pi\)
−0.124100 + 0.992270i \(0.539604\pi\)
\(168\) −74.4051 14.1105i −0.0341695 0.00648006i
\(169\) 1355.53 652.787i 0.616990 0.297127i
\(170\) 1769.61 + 1206.50i 0.798371 + 0.544320i
\(171\) −3170.90 2942.16i −1.41804 1.31575i
\(172\) 718.832 + 666.979i 0.318665 + 0.295678i
\(173\) −1969.10 1342.51i −0.865365 0.589996i 0.0472192 0.998885i \(-0.484964\pi\)
−0.912584 + 0.408889i \(0.865916\pi\)
\(174\) −182.605 + 87.9377i −0.0795587 + 0.0383135i
\(175\) 6197.27 + 1175.28i 2.67697 + 0.507673i
\(176\) −275.835 132.835i −0.118135 0.0568910i
\(177\) 137.678 + 238.465i 0.0584661 + 0.101266i
\(178\) −718.539 + 1244.55i −0.302566 + 0.524060i
\(179\) −1268.71 + 864.994i −0.529765 + 0.361188i −0.798470 0.602035i \(-0.794357\pi\)
0.268704 + 0.963223i \(0.413405\pi\)
\(180\) −2282.04 343.962i −0.944961 0.142430i
\(181\) −543.150 + 2379.70i −0.223050 + 0.977245i 0.732117 + 0.681178i \(0.238532\pi\)
−0.955167 + 0.296067i \(0.904325\pi\)
\(182\) 974.024 + 36.8544i 0.396700 + 0.0150101i
\(183\) −39.6159 173.569i −0.0160027 0.0701124i
\(184\) 55.2625 + 737.427i 0.0221413 + 0.295456i
\(185\) −448.435 138.324i −0.178214 0.0549717i
\(186\) −59.1216 150.639i −0.0233065 0.0593840i
\(187\) 907.457 279.913i 0.354865 0.109461i
\(188\) −322.440 404.327i −0.125087 0.156854i
\(189\) −270.832 + 430.626i −0.104234 + 0.165732i
\(190\) −4352.77 + 5458.20i −1.66202 + 2.08410i
\(191\) −884.071 + 2252.58i −0.334917 + 0.853354i 0.659870 + 0.751380i \(0.270611\pi\)
−0.994787 + 0.101975i \(0.967484\pi\)
\(192\) 2.44463 32.6213i 0.000918886 0.0122617i
\(193\) 658.645 99.2747i 0.245649 0.0370256i −0.0250635 0.999686i \(-0.507979\pi\)
0.270713 + 0.962660i \(0.412741\pi\)
\(194\) 2506.60 2325.79i 0.927647 0.860731i
\(195\) −290.229 −0.106583
\(196\) −1187.61 686.996i −0.432803 0.250363i
\(197\) −1471.11 −0.532044 −0.266022 0.963967i \(-0.585709\pi\)
−0.266022 + 0.963967i \(0.585709\pi\)
\(198\) −750.110 + 696.000i −0.269232 + 0.249811i
\(199\) −3795.38 + 572.062i −1.35200 + 0.203781i −0.784773 0.619783i \(-0.787221\pi\)
−0.567224 + 0.823564i \(0.691983\pi\)
\(200\) −203.616 + 2717.06i −0.0719890 + 0.960627i
\(201\) −51.3765 + 130.905i −0.0180290 + 0.0459370i
\(202\) −224.155 + 281.081i −0.0780765 + 0.0979049i
\(203\) −3648.90 + 409.583i −1.26159 + 0.141611i
\(204\) 63.2660 + 79.3330i 0.0217133 + 0.0272276i
\(205\) −960.892 + 296.396i −0.327374 + 0.100981i
\(206\) 796.854 + 2030.35i 0.269512 + 0.686705i
\(207\) 2361.84 + 728.530i 0.793039 + 0.244620i
\(208\) 31.4644 + 419.863i 0.0104888 + 0.139963i
\(209\) 688.805 + 3017.85i 0.227970 + 0.998800i
\(210\) 361.100 + 191.041i 0.118658 + 0.0627764i
\(211\) −197.682 + 866.102i −0.0644976 + 0.282583i −0.996884 0.0788804i \(-0.974865\pi\)
0.932386 + 0.361463i \(0.117723\pi\)
\(212\) 1290.25 + 194.473i 0.417993 + 0.0630023i
\(213\) 270.777 184.613i 0.0871050 0.0593872i
\(214\) 895.063 1550.29i 0.285912 0.495215i
\(215\) −2644.86 4581.03i −0.838966 1.45313i
\(216\) −197.982 95.3430i −0.0623655 0.0300337i
\(217\) −108.393 2929.75i −0.0339088 0.916517i
\(218\) −119.128 + 57.3690i −0.0370108 + 0.0178235i
\(219\) −377.594 257.439i −0.116509 0.0794344i
\(220\) 1210.64 + 1123.31i 0.371005 + 0.344242i
\(221\) −957.372 888.312i −0.291402 0.270382i
\(222\) −18.3700 12.5245i −0.00555367 0.00378643i
\(223\) −4196.21 + 2020.79i −1.26009 + 0.606825i −0.940197 0.340630i \(-0.889360\pi\)
−0.319888 + 0.947455i \(0.603645\pi\)
\(224\) 237.223 543.100i 0.0707595 0.161997i
\(225\) 8204.96 + 3951.30i 2.43110 + 1.17076i
\(226\) −1184.71 2051.99i −0.348699 0.603965i
\(227\) 777.379 1346.46i 0.227297 0.393690i −0.729709 0.683758i \(-0.760344\pi\)
0.957006 + 0.290068i \(0.0936778\pi\)
\(228\) −273.281 + 186.320i −0.0793794 + 0.0541199i
\(229\) 4101.74 + 618.238i 1.18363 + 0.178403i 0.711215 0.702974i \(-0.248145\pi\)
0.472413 + 0.881378i \(0.343383\pi\)
\(230\) 887.658 3889.08i 0.254480 1.11495i
\(231\) 166.053 72.3651i 0.0472963 0.0206116i
\(232\) −352.935 1546.31i −0.0998764 0.437587i
\(233\) −93.7301 1250.74i −0.0263539 0.351669i −0.994756 0.102275i \(-0.967388\pi\)
0.968402 0.249394i \(-0.0802313\pi\)
\(234\) 1344.74 + 414.797i 0.375677 + 0.115881i
\(235\) 1019.19 + 2596.87i 0.282915 + 0.720855i
\(236\) −2059.11 + 635.151i −0.567952 + 0.175190i
\(237\) −219.941 275.797i −0.0602814 0.0755904i
\(238\) 606.429 + 1735.41i 0.165164 + 0.472647i
\(239\) 1157.82 1451.86i 0.313360 0.392941i −0.600063 0.799953i \(-0.704858\pi\)
0.913423 + 0.407012i \(0.133429\pi\)
\(240\) −64.4698 + 164.266i −0.0173396 + 0.0441806i
\(241\) −266.345 + 3554.13i −0.0711901 + 0.949965i 0.841221 + 0.540691i \(0.181837\pi\)
−0.912411 + 0.409274i \(0.865782\pi\)
\(242\) −1908.18 + 287.612i −0.506870 + 0.0763984i
\(243\) −808.901 + 750.551i −0.213543 + 0.198139i
\(244\) 1393.22 0.365541
\(245\) 5029.44 + 5429.58i 1.31151 + 1.41585i
\(246\) −47.6408 −0.0123474
\(247\) 3120.65 2895.54i 0.803894 0.745905i
\(248\) 1252.25 188.747i 0.320638 0.0483284i
\(249\) 30.7728 410.634i 0.00783190 0.104509i
\(250\) 3398.97 8660.43i 0.859878 2.19093i
\(251\) −2710.98 + 3399.46i −0.681735 + 0.854869i −0.995513 0.0946277i \(-0.969834\pi\)
0.313778 + 0.949496i \(0.398405\pi\)
\(252\) −1400.07 1401.25i −0.349985 0.350279i
\(253\) −1102.79 1382.86i −0.274039 0.343634i
\(254\) 914.417 282.060i 0.225888 0.0696773i
\(255\) −199.977 509.532i −0.0491099 0.125130i
\(256\) 244.627 + 75.4573i 0.0597233 + 0.0184222i
\(257\) 362.973 + 4843.53i 0.0880996 + 1.17561i 0.849594 + 0.527437i \(0.176847\pi\)
−0.761495 + 0.648171i \(0.775534\pi\)
\(258\) −55.7663 244.328i −0.0134568 0.0589581i
\(259\) −239.051 324.187i −0.0573510 0.0777761i
\(260\) 505.398 2214.29i 0.120552 0.528172i
\(261\) −5242.00 790.104i −1.24319 0.187380i
\(262\) 1727.62 1177.87i 0.407378 0.277745i
\(263\) 2932.30 5078.89i 0.687503 1.19079i −0.285141 0.958486i \(-0.592040\pi\)
0.972643 0.232304i \(-0.0746264\pi\)
\(264\) 39.1216 + 67.7607i 0.00912034 + 0.0157969i
\(265\) −6341.62 3053.96i −1.47005 0.707938i
\(266\) −5788.63 + 1548.46i −1.33430 + 0.356925i
\(267\) 330.901 159.353i 0.0758457 0.0365254i
\(268\) −909.272 619.931i −0.207249 0.141300i
\(269\) 2277.43 + 2113.14i 0.516197 + 0.478961i 0.894718 0.446632i \(-0.147377\pi\)
−0.378521 + 0.925593i \(0.623567\pi\)
\(270\) 868.940 + 806.258i 0.195859 + 0.181731i
\(271\) 3787.10 + 2582.00i 0.848893 + 0.578765i 0.907755 0.419501i \(-0.137795\pi\)
−0.0588621 + 0.998266i \(0.518747\pi\)
\(272\) −715.439 + 344.537i −0.159485 + 0.0768038i
\(273\) −200.370 148.010i −0.0444210 0.0328130i
\(274\) −5234.75 2520.92i −1.15417 0.555820i
\(275\) −3258.48 5643.85i −0.714522 1.23759i
\(276\) 94.4959 163.672i 0.0206086 0.0356952i
\(277\) 2356.05 1606.33i 0.511052 0.348430i −0.280178 0.959948i \(-0.590393\pi\)
0.791230 + 0.611519i \(0.209441\pi\)
\(278\) −3198.26 482.060i −0.689995 0.104000i
\(279\) 941.872 4126.61i 0.202109 0.885497i
\(280\) −2086.35 + 2422.33i −0.445297 + 0.517006i
\(281\) −812.296 3558.90i −0.172447 0.755539i −0.984986 0.172633i \(-0.944773\pi\)
0.812540 0.582906i \(-0.198084\pi\)
\(282\) 9.87694 + 131.799i 0.00208569 + 0.0278315i
\(283\) 651.815 + 201.058i 0.136913 + 0.0422321i 0.362454 0.932002i \(-0.381939\pi\)
−0.225541 + 0.974234i \(0.572415\pi\)
\(284\) 936.973 + 2387.37i 0.195772 + 0.498818i
\(285\) 1704.93 525.903i 0.354357 0.109305i
\(286\) −627.887 787.346i −0.129817 0.162786i
\(287\) −814.541 285.404i −0.167529 0.0586998i
\(288\) 533.483 668.966i 0.109152 0.136872i
\(289\) −895.041 + 2280.53i −0.182178 + 0.464182i
\(290\) −639.380 + 8531.93i −0.129468 + 1.72763i
\(291\) −864.133 + 130.247i −0.174077 + 0.0262379i
\(292\) 2621.66 2432.54i 0.525414 0.487513i
\(293\) 168.613 0.0336194 0.0168097 0.999859i \(-0.494649\pi\)
0.0168097 + 0.999859i \(0.494649\pi\)
\(294\) 151.872 + 316.044i 0.0301271 + 0.0626940i
\(295\) 11624.0 2.29415
\(296\) 127.544 118.344i 0.0250451 0.0232385i
\(297\) 519.717 78.3347i 0.101539 0.0153045i
\(298\) 469.294 6262.30i 0.0912265 1.21733i
\(299\) −888.683 + 2264.33i −0.171886 + 0.437958i
\(300\) 434.163 544.424i 0.0835548 0.104774i
\(301\) 510.239 4511.49i 0.0977065 0.863913i
\(302\) 3200.50 + 4013.31i 0.609829 + 0.764701i
\(303\) 87.7991 27.0824i 0.0166466 0.00513480i
\(304\) −945.638 2409.45i −0.178408 0.454576i
\(305\) −7181.66 2215.25i −1.34826 0.415884i
\(306\) 198.340 + 2646.66i 0.0370533 + 0.494442i
\(307\) −28.1794 123.462i −0.00523870 0.0229523i 0.972241 0.233982i \(-0.0751756\pi\)
−0.977480 + 0.211029i \(0.932318\pi\)
\(308\) 262.947 + 1392.91i 0.0486455 + 0.257689i
\(309\) 124.039 543.451i 0.0228361 0.100051i
\(310\) −6755.10 1018.17i −1.23763 0.186542i
\(311\) 494.042 336.832i 0.0900789 0.0614148i −0.517443 0.855718i \(-0.673116\pi\)
0.607522 + 0.794303i \(0.292164\pi\)
\(312\) 53.8023 93.1884i 0.00976269 0.0169095i
\(313\) −3496.07 6055.37i −0.631341 1.09351i −0.987278 0.159004i \(-0.949172\pi\)
0.355937 0.934510i \(-0.384162\pi\)
\(314\) −2260.12 1088.42i −0.406198 0.195614i
\(315\) 4988.95 + 9449.15i 0.892367 + 1.69016i
\(316\) 2487.18 1197.76i 0.442769 0.213226i
\(317\) −6610.77 4507.15i −1.17129 0.798570i −0.188276 0.982116i \(-0.560290\pi\)
−0.983011 + 0.183547i \(0.941242\pi\)
\(318\) −244.452 226.818i −0.0431075 0.0399979i
\(319\) 2780.91 + 2580.31i 0.488092 + 0.452883i
\(320\) −1141.00 777.920i −0.199324 0.135897i
\(321\) −412.194 + 198.502i −0.0716711 + 0.0345150i
\(322\) 2596.16 2232.28i 0.449312 0.386336i
\(323\) 7233.68 + 3483.56i 1.24611 + 0.600094i
\(324\) −1415.81 2452.26i −0.242766 0.420483i
\(325\) −4481.25 + 7761.75i −0.764846 + 1.32475i
\(326\) 1221.98 833.132i 0.207605 0.141543i
\(327\) 33.4144 + 5.03641i 0.00565083 + 0.000851725i
\(328\) 82.9607 363.474i 0.0139657 0.0611876i
\(329\) −620.700 + 2312.60i −0.104013 + 0.387532i
\(330\) −93.9199 411.490i −0.0156670 0.0686417i
\(331\) −228.084 3043.58i −0.0378751 0.505408i −0.983591 0.180413i \(-0.942256\pi\)
0.945716 0.324995i \(-0.105363\pi\)
\(332\) 3079.33 + 949.848i 0.509037 + 0.157017i
\(333\) −212.459 541.337i −0.0349630 0.0890843i
\(334\) 2629.10 810.969i 0.430712 0.132857i
\(335\) 3701.33 + 4641.32i 0.603657 + 0.756962i
\(336\) −128.281 + 80.5291i −0.0208282 + 0.0130751i
\(337\) 3334.52 4181.36i 0.539000 0.675884i −0.435522 0.900178i \(-0.643436\pi\)
0.974522 + 0.224294i \(0.0720076\pi\)
\(338\) 1099.33 2801.04i 0.176910 0.450759i
\(339\) −45.2530 + 603.859i −0.00725016 + 0.0967467i
\(340\) 4235.69 638.428i 0.675626 0.101834i
\(341\) −2220.41 + 2060.24i −0.352616 + 0.327180i
\(342\) −8651.22 −1.36785
\(343\) 703.307 + 6313.40i 0.110714 + 0.993852i
\(344\) 1961.20 0.307387
\(345\) −747.339 + 693.429i −0.116624 + 0.108211i
\(346\) −4713.19 + 710.399i −0.732320 + 0.110379i
\(347\) 40.1378 535.601i 0.00620953 0.0828605i −0.993238 0.116096i \(-0.962962\pi\)
0.999448 + 0.0332353i \(0.0105811\pi\)
\(348\) −148.092 + 377.331i −0.0228119 + 0.0581238i
\(349\) −3248.55 + 4073.55i −0.498255 + 0.624791i −0.965835 0.259159i \(-0.916555\pi\)
0.467580 + 0.883951i \(0.345126\pi\)
\(350\) 10684.6 6707.35i 1.63176 1.02435i
\(351\) −450.669 565.122i −0.0685326 0.0859372i
\(352\) −585.104 + 180.481i −0.0885970 + 0.0273285i
\(353\) −713.470 1817.89i −0.107576 0.274098i 0.866942 0.498409i \(-0.166082\pi\)
−0.974518 + 0.224311i \(0.927987\pi\)
\(354\) 526.245 + 162.325i 0.0790101 + 0.0243714i
\(355\) −1033.86 13796.0i −0.154569 2.06257i
\(356\) 639.560 + 2802.09i 0.0952152 + 0.417165i
\(357\) 121.788 453.757i 0.0180551 0.0672699i
\(358\) −683.374 + 2994.06i −0.100887 + 0.442014i
\(359\) 4356.82 + 656.684i 0.640512 + 0.0965417i 0.461265 0.887262i \(-0.347396\pi\)
0.179247 + 0.983804i \(0.442634\pi\)
\(360\) −3813.61 + 2600.07i −0.558319 + 0.380655i
\(361\) −9655.77 + 16724.3i −1.40775 + 2.43830i
\(362\) 2440.89 + 4227.75i 0.354394 + 0.613828i
\(363\) 444.340 + 213.983i 0.0642474 + 0.0309399i
\(364\) 1478.16 1270.98i 0.212847 0.183015i
\(365\) −17381.6 + 8370.56i −2.49259 + 1.20037i
\(366\) −294.195 200.578i −0.0420158 0.0286459i
\(367\) 6968.35 + 6465.68i 0.991131 + 0.919635i 0.996767 0.0803492i \(-0.0256036\pi\)
−0.00563609 + 0.999984i \(0.501794\pi\)
\(368\) 1084.18 + 1005.97i 0.153578 + 0.142499i
\(369\) −1029.57 701.952i −0.145251 0.0990303i
\(370\) −845.620 + 407.229i −0.118815 + 0.0572185i
\(371\) −2820.72 5342.48i −0.394729 0.747622i
\(372\) −291.600 140.427i −0.0406418 0.0195721i
\(373\) 1808.06 + 3131.64i 0.250985 + 0.434719i 0.963797 0.266636i \(-0.0859121\pi\)
−0.712812 + 0.701355i \(0.752579\pi\)
\(374\) 949.647 1644.84i 0.131297 0.227413i
\(375\) −1964.55 + 1339.40i −0.270530 + 0.184444i
\(376\) −1022.75 154.155i −0.140278 0.0211435i
\(377\) 1160.94 5086.39i 0.158597 0.694861i
\(378\) 188.732 + 999.767i 0.0256807 + 0.136038i
\(379\) −1847.18 8093.02i −0.250351 1.09686i −0.931221 0.364456i \(-0.881255\pi\)
0.680869 0.732405i \(-0.261602\pi\)
\(380\) 1043.43 + 13923.5i 0.140859 + 1.87964i
\(381\) −233.697 72.0858i −0.0314242 0.00969309i
\(382\) 1768.14 + 4505.15i 0.236822 + 0.603413i
\(383\) 13617.6 4200.47i 1.81678 0.560402i 0.816913 0.576762i \(-0.195684\pi\)
0.999866 + 0.0163596i \(0.00520766\pi\)
\(384\) −40.7922 51.1518i −0.00542101 0.00679774i
\(385\) 859.329 7598.11i 0.113754 1.00581i
\(386\) 830.593 1041.53i 0.109524 0.137338i
\(387\) 2394.82 6101.89i 0.314561 0.801490i
\(388\) 511.065 6819.69i 0.0668696 0.892313i
\(389\) 12621.5 1902.38i 1.64508 0.247956i 0.739816 0.672810i \(-0.234913\pi\)
0.905262 + 0.424854i \(0.139675\pi\)
\(390\) −425.506 + 394.812i −0.0552470 + 0.0512617i
\(391\) −4587.63 −0.593366
\(392\) −2675.71 + 608.354i −0.344755 + 0.0783839i
\(393\) −534.382 −0.0685903
\(394\) −2156.81 + 2001.22i −0.275783 + 0.255889i
\(395\) −14725.2 + 2219.46i −1.87570 + 0.282717i
\(396\) −152.938 + 2040.82i −0.0194076 + 0.258977i
\(397\) 2149.74 5477.46i 0.271770 0.692457i −0.728205 0.685359i \(-0.759645\pi\)
0.999975 0.00709838i \(-0.00225950\pi\)
\(398\) −4786.22 + 6001.73i −0.602793 + 0.755878i
\(399\) 1445.26 + 506.399i 0.181337 + 0.0635380i
\(400\) 3397.62 + 4260.48i 0.424703 + 0.532560i
\(401\) 11091.7 3421.35i 1.38128 0.426070i 0.486934 0.873439i \(-0.338115\pi\)
0.894349 + 0.447369i \(0.147639\pi\)
\(402\) 102.753 + 261.811i 0.0127484 + 0.0324824i
\(403\) 3980.59 + 1227.85i 0.492028 + 0.151770i
\(404\) 53.7333 + 717.021i 0.00661716 + 0.0882999i
\(405\) 3398.96 + 14891.8i 0.417026 + 1.82711i
\(406\) −4792.49 + 5564.26i −0.585831 + 0.680171i
\(407\) −92.6031 + 405.721i −0.0112781 + 0.0494124i
\(408\) 200.675 + 30.2469i 0.0243502 + 0.00367020i
\(409\) 2966.42 2022.47i 0.358630 0.244510i −0.370579 0.928801i \(-0.620841\pi\)
0.729209 + 0.684291i \(0.239888\pi\)
\(410\) −1005.57 + 1741.69i −0.121125 + 0.209795i
\(411\) 742.445 + 1285.95i 0.0891049 + 0.154334i
\(412\) 3930.25 + 1892.71i 0.469974 + 0.226328i
\(413\) 8025.04 + 5927.95i 0.956142 + 0.706284i
\(414\) 4453.75 2144.81i 0.528719 0.254618i
\(415\) −14362.8 9792.37i −1.69889 1.15829i
\(416\) 617.288 + 572.760i 0.0727525 + 0.0675045i
\(417\) 605.946 + 562.236i 0.0711590 + 0.0660259i
\(418\) 5115.18 + 3487.47i 0.598545 + 0.408081i
\(419\) −3196.45 + 1539.33i −0.372689 + 0.179477i −0.610847 0.791749i \(-0.709171\pi\)
0.238158 + 0.971226i \(0.423456\pi\)
\(420\) 789.291 211.135i 0.0916987 0.0245294i
\(421\) −10313.6 4966.75i −1.19395 0.574975i −0.272004 0.962296i \(-0.587686\pi\)
−0.921945 + 0.387321i \(0.873401\pi\)
\(422\) 888.375 + 1538.71i 0.102477 + 0.177496i
\(423\) −1728.50 + 2993.85i −0.198682 + 0.344128i
\(424\) 2156.19 1470.06i 0.246966 0.168379i
\(425\) −16714.4 2519.29i −1.90769 0.287538i
\(426\) 145.850 639.012i 0.0165880 0.0726766i
\(427\) −3828.39 5191.84i −0.433885 0.588409i
\(428\) −796.681 3490.49i −0.0899744 0.394203i
\(429\) 19.2334 + 256.652i 0.00216456 + 0.0288841i
\(430\) −10109.4 3118.34i −1.13377 0.349720i
\(431\) 2981.82 + 7597.55i 0.333246 + 0.849098i 0.995046 + 0.0994169i \(0.0316977\pi\)
−0.661800 + 0.749681i \(0.730207\pi\)
\(432\) −419.961 + 129.541i −0.0467717 + 0.0144272i
\(433\) 1715.75 + 2151.48i 0.190424 + 0.238784i 0.867874 0.496785i \(-0.165486\pi\)
−0.677450 + 0.735569i \(0.736915\pi\)
\(434\) −4144.38 4147.86i −0.458380 0.458764i
\(435\) 1363.33 1709.56i 0.150268 0.188430i
\(436\) −96.6122 + 246.164i −0.0106121 + 0.0270392i
\(437\) 1117.50 14912.0i 0.122328 1.63235i
\(438\) −903.798 + 136.226i −0.0985962 + 0.0148610i
\(439\) −9324.74 + 8652.10i −1.01377 + 0.940642i −0.998244 0.0592370i \(-0.981133\pi\)
−0.0155275 + 0.999879i \(0.504943\pi\)
\(440\) 3303.00 0.357874
\(441\) −1374.53 + 9067.80i −0.148421 + 0.979138i
\(442\) −2612.02 −0.281088
\(443\) −1751.79 + 1625.43i −0.187878 + 0.174326i −0.768504 0.639845i \(-0.778999\pi\)
0.580626 + 0.814171i \(0.302808\pi\)
\(444\) −43.9699 + 6.62740i −0.00469982 + 0.000708384i
\(445\) 1158.63 15460.9i 0.123426 1.64700i
\(446\) −3403.11 + 8670.98i −0.361305 + 0.920589i
\(447\) −1000.66 + 1254.79i −0.105883 + 0.132773i
\(448\) −391.009 1118.95i −0.0412354 0.118003i
\(449\) 3452.51 + 4329.31i 0.362882 + 0.455039i 0.929435 0.368986i \(-0.120295\pi\)
−0.566553 + 0.824025i \(0.691724\pi\)
\(450\) 17404.5 5368.56i 1.82323 0.562392i
\(451\) 325.783 + 830.083i 0.0340145 + 0.0866675i
\(452\) −4528.32 1396.80i −0.471227 0.145354i
\(453\) −98.0376 1308.22i −0.0101682 0.135686i
\(454\) −691.932 3031.55i −0.0715286 0.313387i
\(455\) −9640.32 + 4201.22i −0.993286 + 0.432870i
\(456\) −147.199 + 644.922i −0.0151167 + 0.0662307i
\(457\) 14192.8 + 2139.22i 1.45276 + 0.218968i 0.827507 0.561455i \(-0.189758\pi\)
0.625252 + 0.780423i \(0.284996\pi\)
\(458\) 6854.60 4673.39i 0.699333 0.476797i
\(459\) 681.614 1180.59i 0.0693137 0.120055i
\(460\) −3989.10 6909.32i −0.404332 0.700323i
\(461\) −2440.93 1175.49i −0.246606 0.118759i 0.306498 0.951871i \(-0.400843\pi\)
−0.553104 + 0.833112i \(0.686557\pi\)
\(462\) 145.009 331.984i 0.0146026 0.0334313i
\(463\) −5798.47 + 2792.39i −0.582025 + 0.280288i −0.701640 0.712532i \(-0.747548\pi\)
0.119615 + 0.992820i \(0.461834\pi\)
\(464\) −2620.95 1786.94i −0.262230 0.178785i
\(465\) 1279.83 + 1187.51i 0.127636 + 0.118429i
\(466\) −1838.86 1706.21i −0.182797 0.169611i
\(467\) 2180.52 + 1486.65i 0.216065 + 0.147311i 0.666516 0.745490i \(-0.267785\pi\)
−0.450452 + 0.892801i \(0.648737\pi\)
\(468\) 2535.79 1221.17i 0.250464 0.120617i
\(469\) 188.387 + 5091.88i 0.0185477 + 0.501325i
\(470\) 5026.88 + 2420.82i 0.493346 + 0.237583i
\(471\) 320.553 + 555.214i 0.0313595 + 0.0543162i
\(472\) −2154.84 + 3732.30i −0.210137 + 0.363968i
\(473\) −3875.76 + 2642.45i −0.376761 + 0.256871i
\(474\) −697.635 105.152i −0.0676022 0.0101894i
\(475\) 12260.4 53716.1i 1.18430 5.18877i
\(476\) 3249.85 + 1719.34i 0.312934 + 0.165558i
\(477\) −1940.90 8503.63i −0.186305 0.816257i
\(478\) −277.547 3703.61i −0.0265579 0.354391i
\(479\) 1745.84 + 538.521i 0.166534 + 0.0513688i 0.376901 0.926254i \(-0.376990\pi\)
−0.210367 + 0.977622i \(0.567466\pi\)
\(480\) 128.940 + 328.532i 0.0122610 + 0.0312404i
\(481\) 546.894 168.694i 0.0518424 0.0159913i
\(482\) 4444.35 + 5573.04i 0.419989 + 0.526650i
\(483\) −869.583 + 97.6093i −0.0819201 + 0.00919539i
\(484\) −2406.34 + 3017.46i −0.225990 + 0.283382i
\(485\) −13477.8 + 34340.9i −1.26185 + 3.21513i
\(486\) −164.925 + 2200.77i −0.0153933 + 0.205409i
\(487\) 17969.2 2708.42i 1.67200 0.252013i 0.756399 0.654110i \(-0.226957\pi\)
0.915597 + 0.402098i \(0.131719\pi\)
\(488\) 2042.61 1895.27i 0.189477 0.175809i
\(489\) −377.978 −0.0349545
\(490\) 14759.8 + 1118.54i 1.36077 + 0.103124i
\(491\) 5184.33 0.476509 0.238254 0.971203i \(-0.423425\pi\)
0.238254 + 0.971203i \(0.423425\pi\)
\(492\) −69.8464 + 64.8080i −0.00640024 + 0.00593856i
\(493\) 9729.69 1466.51i 0.888850 0.133973i
\(494\) 636.261 8490.31i 0.0579488 0.773274i
\(495\) 4033.28 10276.6i 0.366227 0.933131i
\(496\) 1579.17 1980.22i 0.142957 0.179263i
\(497\) 6321.84 10051.8i 0.570570 0.907212i
\(498\) −513.488 643.893i −0.0462047 0.0579389i
\(499\) 5218.19 1609.60i 0.468133 0.144400i −0.0517093 0.998662i \(-0.516467\pi\)
0.519842 + 0.854262i \(0.325991\pi\)
\(500\) −6797.93 17320.9i −0.608026 1.54922i
\(501\) −671.915 207.258i −0.0599181 0.0184823i
\(502\) 649.864 + 8671.83i 0.0577786 + 0.771001i
\(503\) 364.559 + 1597.24i 0.0323159 + 0.141585i 0.988512 0.151141i \(-0.0482948\pi\)
−0.956196 + 0.292726i \(0.905438\pi\)
\(504\) −3958.83 149.792i −0.349882 0.0132386i
\(505\) 863.095 3781.47i 0.0760539 0.333214i
\(506\) −3497.97 527.234i −0.307320 0.0463210i
\(507\) −635.392 + 433.203i −0.0556583 + 0.0379472i
\(508\) 956.931 1657.45i 0.0835766 0.144759i
\(509\) 956.337 + 1656.42i 0.0832788 + 0.144243i 0.904656 0.426142i \(-0.140127\pi\)
−0.821378 + 0.570385i \(0.806794\pi\)
\(510\) −986.326 474.989i −0.0856377 0.0412409i
\(511\) −16268.8 3085.29i −1.40840 0.267095i
\(512\) 461.296 222.148i 0.0398176 0.0191751i
\(513\) 3671.45 + 2503.15i 0.315981 + 0.215432i
\(514\) 7121.03 + 6607.35i 0.611080 + 0.567000i
\(515\) −17249.8 16005.5i −1.47596 1.36949i
\(516\) −414.130 282.349i −0.0353315 0.0240886i
\(517\) 2228.89 1073.38i 0.189606 0.0913095i
\(518\) −791.481 150.100i −0.0671345 0.0127317i
\(519\) 1097.52 + 528.536i 0.0928239 + 0.0447016i
\(520\) −2271.24 3933.90i −0.191539 0.331756i
\(521\) 4407.63 7634.24i 0.370637 0.641961i −0.619027 0.785370i \(-0.712473\pi\)
0.989664 + 0.143408i \(0.0458062\pi\)
\(522\) −8760.13 + 5972.55i −0.734522 + 0.500788i
\(523\) 331.077 + 49.9018i 0.0276806 + 0.00417218i 0.162868 0.986648i \(-0.447926\pi\)
−0.135187 + 0.990820i \(0.543164\pi\)
\(524\) 930.560 4077.05i 0.0775796 0.339898i
\(525\) −3221.81 121.905i −0.267831 0.0101340i
\(526\) −2609.99 11435.1i −0.216352 0.947899i
\(527\) 587.109 + 7834.42i 0.0485291 + 0.647576i
\(528\) 149.534 + 46.1252i 0.0123251 + 0.00380179i
\(529\) −1323.42 3372.02i −0.108771 0.277145i
\(530\) −13451.9 + 4149.37i −1.10248 + 0.340070i
\(531\) 8981.03 + 11261.9i 0.733980 + 0.920382i
\(532\) −6380.30 + 10144.7i −0.519964 + 0.826749i
\(533\) 764.617 958.800i 0.0621374 0.0779179i
\(534\) 268.359 683.768i 0.0217473 0.0554111i
\(535\) −1443.27 + 19259.2i −0.116632 + 1.55635i
\(536\) −2176.41 + 328.041i −0.175385 + 0.0264351i
\(537\) 575.348 533.845i 0.0462348 0.0428996i
\(538\) 6213.55 0.497927
\(539\) 4468.12 4807.39i 0.357060 0.384173i
\(540\) 2370.75 0.188927
\(541\) −1814.05 + 1683.19i −0.144163 + 0.133763i −0.748958 0.662618i \(-0.769445\pi\)
0.604795 + 0.796381i \(0.293255\pi\)
\(542\) 9064.70 1366.28i 0.718380 0.108278i
\(543\) 93.2357 1244.14i 0.00736856 0.0983266i
\(544\) −580.218 + 1478.37i −0.0457291 + 0.116516i
\(545\) 889.411 1115.29i 0.0699049 0.0876580i
\(546\) −495.107 + 55.5750i −0.0388070 + 0.00435602i
\(547\) 8161.96 + 10234.8i 0.637989 + 0.800014i 0.990750 0.135700i \(-0.0433284\pi\)
−0.352760 + 0.935714i \(0.614757\pi\)
\(548\) −11104.0 + 3425.14i −0.865584 + 0.266997i
\(549\) −3402.52 8669.48i −0.264510 0.673960i
\(550\) −12454.9 3841.81i −0.965594 0.297846i
\(551\) 2396.82 + 31983.4i 0.185314 + 2.47284i
\(552\) −84.1093 368.507i −0.00648538 0.0284143i
\(553\) −11297.9 5977.18i −0.868781 0.459630i
\(554\) 1269.05 5560.09i 0.0973231 0.426400i
\(555\) 237.189 + 35.7506i 0.0181408 + 0.00273428i
\(556\) −5344.74 + 3643.99i −0.407676 + 0.277949i
\(557\) 3715.49 6435.43i 0.282640 0.489547i −0.689394 0.724387i \(-0.742123\pi\)
0.972034 + 0.234839i \(0.0754564\pi\)
\(558\) −4232.73 7331.31i −0.321122 0.556199i
\(559\) 5812.27 + 2799.04i 0.439772 + 0.211783i
\(560\) 236.397 + 6389.54i 0.0178385 + 0.482156i
\(561\) −437.331 + 210.607i −0.0329129 + 0.0158500i
\(562\) −6032.25 4112.72i −0.452767 0.308691i
\(563\) 2635.24 + 2445.14i 0.197268 + 0.183038i 0.772622 0.634867i \(-0.218945\pi\)
−0.575353 + 0.817905i \(0.695135\pi\)
\(564\) 193.772 + 179.794i 0.0144668 + 0.0134232i
\(565\) 21121.2 + 14400.2i 1.57270 + 1.07225i
\(566\) 1229.14 591.922i 0.0912801 0.0439582i
\(567\) −5247.86 + 12014.5i −0.388694 + 0.889878i
\(568\) 4621.35 + 2225.52i 0.341386 + 0.164403i
\(569\) 634.967 + 1099.80i 0.0467824 + 0.0810296i 0.888468 0.458938i \(-0.151770\pi\)
−0.841686 + 0.539967i \(0.818437\pi\)
\(570\) 1784.20 3090.33i 0.131109 0.227087i
\(571\) −130.798 + 89.1766i −0.00958621 + 0.00653577i −0.568104 0.822957i \(-0.692323\pi\)
0.558517 + 0.829493i \(0.311370\pi\)
\(572\) −1991.61 300.187i −0.145583 0.0219431i
\(573\) 275.231 1205.87i 0.0200662 0.0879159i
\(574\) −1582.45 + 689.626i −0.115070 + 0.0501471i
\(575\) 7005.54 + 30693.3i 0.508089 + 2.22608i
\(576\) −127.884 1706.49i −0.00925087 0.123444i
\(577\) 9031.43 + 2785.83i 0.651617 + 0.200997i 0.602902 0.797815i \(-0.294011\pi\)
0.0487155 + 0.998813i \(0.484487\pi\)
\(578\) 1790.08 + 4561.05i 0.128819 + 0.328226i
\(579\) −325.335 + 100.353i −0.0233514 + 0.00720296i
\(580\) 10669.0 + 13378.5i 0.763802 + 0.957778i
\(581\) −4921.98 14085.2i −0.351460 1.00577i
\(582\) −1089.73 + 1366.48i −0.0776128 + 0.0973234i
\(583\) −2280.39 + 5810.33i −0.161996 + 0.412760i
\(584\) 534.524 7132.72i 0.0378746 0.505401i
\(585\) −15012.9 + 2262.84i −1.06104 + 0.159926i
\(586\) 247.204 229.372i 0.0174265 0.0161694i
\(587\) −2416.93 −0.169944 −0.0849721 0.996383i \(-0.527080\pi\)
−0.0849721 + 0.996383i \(0.527080\pi\)
\(588\) 652.589 + 256.754i 0.0457692 + 0.0180074i
\(589\) −25608.6 −1.79149
\(590\) 17042.0 15812.7i 1.18917 1.10338i
\(591\) 743.544 112.071i 0.0517518 0.00780033i
\(592\) 26.0047 347.008i 0.00180538 0.0240911i
\(593\) −6361.37 + 16208.5i −0.440523 + 1.12243i 0.522410 + 0.852695i \(0.325033\pi\)
−0.962933 + 0.269740i \(0.913062\pi\)
\(594\) 655.396 821.841i 0.0452714 0.0567686i
\(595\) −14018.2 14030.0i −0.965866 0.966677i
\(596\) −7830.85 9819.58i −0.538195 0.674875i
\(597\) 1874.71 578.273i 0.128521 0.0396434i
\(598\) 1777.37 + 4528.65i 0.121542 + 0.309683i
\(599\) 8898.59 + 2744.85i 0.606989 + 0.187231i 0.582988 0.812481i \(-0.301883\pi\)
0.0240009 + 0.999712i \(0.492360\pi\)
\(600\) −104.076 1388.79i −0.00708145 0.0944954i
\(601\) −968.118 4241.60i −0.0657078 0.287884i 0.931389 0.364024i \(-0.118598\pi\)
−0.997097 + 0.0761400i \(0.975740\pi\)
\(602\) −5389.12 7308.41i −0.364857 0.494798i
\(603\) −1636.97 + 7172.02i −0.110551 + 0.484357i
\(604\) 10151.8 + 1530.13i 0.683889 + 0.103080i
\(605\) 17201.8 11728.0i 1.15595 0.788115i
\(606\) 91.8811 159.143i 0.00615910 0.0106679i
\(607\) −811.715 1405.93i −0.0542776 0.0940116i 0.837610 0.546269i \(-0.183952\pi\)
−0.891888 + 0.452257i \(0.850619\pi\)
\(608\) −4664.08 2246.10i −0.311108 0.149822i
\(609\) 1813.06 484.992i 0.120638 0.0322707i
\(610\) −13542.6 + 6521.75i −0.898888 + 0.432882i
\(611\) −2811.05 1916.54i −0.186126 0.126898i
\(612\) 3891.16 + 3610.46i 0.257011 + 0.238471i
\(613\) 16000.2 + 14846.0i 1.05423 + 0.978183i 0.999793 0.0203342i \(-0.00647301\pi\)
0.0544373 + 0.998517i \(0.482663\pi\)
\(614\) −209.265 142.674i −0.0137545 0.00937763i
\(615\) 463.083 223.009i 0.0303631 0.0146221i
\(616\) 2280.34 + 1684.45i 0.149152 + 0.110176i
\(617\) −15080.1 7262.20i −0.983959 0.473850i −0.128494 0.991710i \(-0.541014\pi\)
−0.855465 + 0.517860i \(0.826729\pi\)
\(618\) −557.427 965.492i −0.0362832 0.0628443i
\(619\) 998.471 1729.40i 0.0648335 0.112295i −0.831787 0.555095i \(-0.812682\pi\)
0.896620 + 0.442801i \(0.146015\pi\)
\(620\) −11288.7 + 7696.53i −0.731236 + 0.498548i
\(621\) −2510.69 378.425i −0.162239 0.0244536i
\(622\) 266.109 1165.90i 0.0171543 0.0751580i
\(623\) 8684.56 10083.1i 0.558490 0.648427i
\(624\) −47.8886 209.814i −0.00307224 0.0134604i
\(625\) 4319.41 + 57638.5i 0.276442 + 3.68886i
\(626\) −13363.0 4121.94i −0.853183 0.263172i
\(627\) −578.045 1472.84i −0.0368180 0.0938108i
\(628\) −4794.20 + 1478.81i −0.304633 + 0.0939667i
\(629\) 672.989 + 843.902i 0.0426611 + 0.0534953i
\(630\) 20168.4 + 7066.73i 1.27544 + 0.446897i
\(631\) −13932.3 + 17470.6i −0.878982 + 1.10221i 0.115076 + 0.993357i \(0.463289\pi\)
−0.994058 + 0.108852i \(0.965282\pi\)
\(632\) 2017.10 5139.48i 0.126955 0.323477i
\(633\) 33.9336 452.812i 0.00213071 0.0284324i
\(634\) −15823.4 + 2384.99i −0.991208 + 0.149400i
\(635\) −7568.06 + 7022.14i −0.472960 + 0.438843i
\(636\) −666.943 −0.0415818
\(637\) −8798.05 2015.86i −0.547240 0.125387i
\(638\) 7587.23 0.470817
\(639\) 12567.4 11660.8i 0.778024 0.721901i
\(640\) −2731.06 + 411.641i −0.168679 + 0.0254243i
\(641\) −794.633 + 10603.6i −0.0489643 + 0.653383i 0.917690 + 0.397298i \(0.130052\pi\)
−0.966654 + 0.256086i \(0.917567\pi\)
\(642\) −334.287 + 851.750i −0.0205503 + 0.0523612i
\(643\) −14792.3 + 18548.9i −0.907232 + 1.13763i 0.0827680 + 0.996569i \(0.473624\pi\)
−0.990000 + 0.141065i \(0.954947\pi\)
\(644\) 769.566 6804.44i 0.0470887 0.416355i
\(645\) 1685.77 + 2113.89i 0.102911 + 0.129046i
\(646\) 15344.2 4733.05i 0.934532 0.288265i
\(647\) −7879.98 20077.9i −0.478816 1.22000i −0.942561 0.334034i \(-0.891590\pi\)
0.463745 0.885969i \(-0.346505\pi\)
\(648\) −5411.65 1669.27i −0.328070 0.101196i
\(649\) −770.319 10279.2i −0.0465912 0.621716i
\(650\) 3988.69 + 17475.6i 0.240691 + 1.05454i
\(651\) 277.976 + 1472.52i 0.0167354 + 0.0886523i
\(652\) 658.202 2883.77i 0.0395356 0.173217i
\(653\) 3226.09 + 486.255i 0.193333 + 0.0291403i 0.244995 0.969524i \(-0.421214\pi\)
−0.0516618 + 0.998665i \(0.516452\pi\)
\(654\) 55.8402 38.0712i 0.00333872 0.00227630i
\(655\) −11279.3 + 19536.4i −0.672854 + 1.16542i
\(656\) −372.822 645.746i −0.0221894 0.0384332i
\(657\) −21539.3 10372.8i −1.27904 0.615953i
\(658\) 2235.93 + 4234.88i 0.132471 + 0.250901i
\(659\) 4513.87 2173.76i 0.266822 0.128494i −0.295690 0.955284i \(-0.595550\pi\)
0.562511 + 0.826790i \(0.309835\pi\)
\(660\) −697.465 475.523i −0.0411345 0.0280450i
\(661\) −17942.1 16647.8i −1.05577 0.979615i −0.0559505 0.998434i \(-0.517819\pi\)
−0.999823 + 0.0188190i \(0.994009\pi\)
\(662\) −4474.71 4151.92i −0.262711 0.243760i
\(663\) 551.556 + 376.045i 0.0323087 + 0.0220277i
\(664\) 5806.74 2796.38i 0.339375 0.163435i
\(665\) 49018.8 42148.3i 2.85845 2.45781i
\(666\) −1047.89 504.638i −0.0609684 0.0293609i
\(667\) −9163.24 15871.2i −0.531937 0.921342i
\(668\) 2751.33 4765.44i 0.159360 0.276019i
\(669\) 1966.94 1341.04i 0.113672 0.0775000i
\(670\) 11740.3 + 1769.57i 0.676967 + 0.102036i
\(671\) −1483.03 + 6497.60i −0.0853232 + 0.373826i
\(672\) −78.5254 + 292.570i −0.00450772 + 0.0167948i
\(673\) −6242.18 27348.8i −0.357531 1.56645i −0.759322 0.650715i \(-0.774469\pi\)
0.401791 0.915731i \(-0.368388\pi\)
\(674\) −799.336 10666.4i −0.0456814 0.609576i
\(675\) −8939.54 2757.48i −0.509752 0.157238i
\(676\) −2198.65 5602.08i −0.125094 0.318734i
\(677\) 25877.0 7982.01i 1.46903 0.453137i 0.545976 0.837801i \(-0.316159\pi\)
0.923057 + 0.384664i \(0.125683\pi\)
\(678\) 755.111 + 946.880i 0.0427727 + 0.0536352i
\(679\) −26817.9 + 16835.1i −1.51572 + 0.951505i
\(680\) 5341.48 6698.01i 0.301230 0.377731i
\(681\) −290.335 + 739.761i −0.0163372 + 0.0416266i
\(682\) −452.715 + 6041.06i −0.0254184 + 0.339185i
\(683\) 16560.2 2496.05i 0.927759 0.139837i 0.332255 0.943189i \(-0.392190\pi\)
0.595504 + 0.803352i \(0.296952\pi\)
\(684\) −12683.6 + 11768.6i −0.709019 + 0.657873i
\(685\) 62683.9 3.49639
\(686\) 9619.52 + 8299.35i 0.535386 + 0.461911i
\(687\) −2120.24 −0.117747
\(688\) 2875.33 2667.91i 0.159333 0.147839i
\(689\) 8488.21 1279.39i 0.469340 0.0707416i
\(690\) −152.373 + 2033.28i −0.00840687 + 0.112182i
\(691\) 11192.4 28517.8i 0.616179 1.57000i −0.192212 0.981353i \(-0.561566\pi\)
0.808391 0.588645i \(-0.200339\pi\)
\(692\) −5943.64 + 7453.09i −0.326508 + 0.409427i
\(693\) 8025.34 5037.96i 0.439910 0.276156i
\(694\) −669.757 839.848i −0.0366334 0.0459369i
\(695\) 33344.5 10285.4i 1.81990 0.561365i
\(696\) 296.183 + 754.662i 0.0161304 + 0.0410997i
\(697\) 2210.13 + 681.735i 0.120107 + 0.0370482i
\(698\) 778.728 + 10391.4i 0.0422282 + 0.563496i
\(699\) 142.657 + 625.020i 0.00771928 + 0.0338204i
\(700\) 6540.46 24368.4i 0.353152 1.31577i
\(701\) −3925.34 + 17198.1i −0.211495 + 0.926621i 0.752056 + 0.659099i \(0.229062\pi\)
−0.963552 + 0.267523i \(0.913795\pi\)
\(702\) −1429.49 215.461i −0.0768555 0.0115841i
\(703\) −2907.02 + 1981.97i −0.155961 + 0.106332i
\(704\) −612.307 + 1060.55i −0.0327801 + 0.0567768i
\(705\) −712.963 1234.89i −0.0380875 0.0659696i
\(706\) −3518.98 1694.65i −0.187590 0.0903387i
\(707\) 2524.32 2170.51i 0.134281 0.115461i
\(708\) 992.347 477.889i 0.0526761 0.0253675i
\(709\) 2878.31 + 1962.40i 0.152464 + 0.103948i 0.637149 0.770740i \(-0.280113\pi\)
−0.484685 + 0.874689i \(0.661066\pi\)
\(710\) −20283.0 18819.9i −1.07213 0.994787i
\(711\) −13527.4 12551.6i −0.713525 0.662055i
\(712\) 4749.48 + 3238.14i 0.249992 + 0.170442i
\(713\) 13183.6 6348.90i 0.692470 0.333476i
\(714\) −438.712 830.928i −0.0229950 0.0435528i
\(715\) 9788.85 + 4714.06i 0.512003 + 0.246568i
\(716\) 3071.06 + 5319.22i 0.160294 + 0.277638i
\(717\) −474.590 + 822.014i −0.0247195 + 0.0428155i
\(718\) 7280.86 4964.01i 0.378439 0.258015i
\(719\) −19059.2 2872.71i −0.988578 0.149004i −0.365204 0.930928i \(-0.619001\pi\)
−0.623374 + 0.781923i \(0.714239\pi\)
\(720\) −2054.15 + 8999.80i −0.106324 + 0.465837i
\(721\) −3746.62 19846.9i −0.193525 1.02516i
\(722\) 8594.45 + 37654.7i 0.443009 + 1.94095i
\(723\) −136.139 1816.65i −0.00700286 0.0934467i
\(724\) 9329.81 + 2877.86i 0.478922 + 0.147728i
\(725\) −24669.4 62856.5i −1.26372 3.21991i
\(726\) 942.539 290.735i 0.0481831 0.0148625i
\(727\) −15676.2 19657.4i −0.799724 1.00282i −0.999735 0.0230285i \(-0.992669\pi\)
0.200011 0.979794i \(-0.435902\pi\)
\(728\) 438.161 3874.19i 0.0223068 0.197235i
\(729\) −11565.4 + 14502.5i −0.587582 + 0.736805i
\(730\) −14096.4 + 35917.2i −0.714702 + 1.82103i
\(731\) −909.224 + 12132.8i −0.0460039 + 0.613880i
\(732\) −704.176 + 106.137i −0.0355561 + 0.00535922i
\(733\) 14.7411 13.6777i 0.000742802 0.000689219i −0.679801 0.733396i \(-0.737934\pi\)
0.680544 + 0.732707i \(0.261743\pi\)
\(734\) 19011.9 0.956051
\(735\) −2955.66 2361.12i −0.148328 0.118491i
\(736\) 2957.98 0.148142
\(737\) 3859.07 3580.69i 0.192877 0.178964i
\(738\) −2464.36 + 371.443i −0.122919 + 0.0185271i
\(739\) −2382.67 + 31794.5i −0.118603 + 1.58265i 0.547510 + 0.836799i \(0.315576\pi\)
−0.666113 + 0.745851i \(0.732043\pi\)
\(740\) −685.794 + 1747.38i −0.0340680 + 0.0868038i
\(741\) −1356.68 + 1701.22i −0.0672589 + 0.0843400i
\(742\) −11403.1 3995.48i −0.564179 0.197680i
\(743\) −24400.2 30596.9i −1.20479 1.51075i −0.804050 0.594561i \(-0.797326\pi\)
−0.400736 0.916194i \(-0.631246\pi\)
\(744\) −618.546 + 190.796i −0.0304798 + 0.00940178i
\(745\) 24752.4 + 63068.1i 1.21726 + 3.10153i
\(746\) 6910.91 + 2131.73i 0.339178 + 0.104622i
\(747\) −1609.79 21481.2i −0.0788476 1.05215i
\(748\) −845.265 3703.35i −0.0413181 0.181027i
\(749\) −10818.1 + 12560.2i −0.527750 + 0.612737i
\(750\) −1058.17 + 4636.17i −0.0515188 + 0.225718i
\(751\) −37381.4 5634.34i −1.81633 0.273768i −0.849206 0.528062i \(-0.822919\pi\)
−0.967127 + 0.254294i \(0.918157\pi\)
\(752\) −1709.17 + 1165.29i −0.0828816 + 0.0565077i
\(753\) 1111.23 1924.71i 0.0537790 0.0931479i
\(754\) −5217.20 9036.45i −0.251988 0.436456i
\(755\) −49896.3 24028.8i −2.40518 1.15827i
\(756\) 1636.73 + 1209.02i 0.0787398 + 0.0581636i
\(757\) −17399.0 + 8378.93i −0.835374 + 0.402295i −0.802128 0.597152i \(-0.796299\pi\)
−0.0332463 + 0.999447i \(0.510585\pi\)
\(758\) −13717.5 9352.40i −0.657309 0.448146i
\(759\) 662.730 + 614.924i 0.0316938 + 0.0294075i
\(760\) 20470.6 + 18993.9i 0.977035 + 0.906556i
\(761\) −11569.0 7887.60i −0.551085 0.375723i 0.255530 0.966801i \(-0.417750\pi\)
−0.806614 + 0.591078i \(0.798703\pi\)
\(762\) −440.685 + 212.223i −0.0209506 + 0.0100893i
\(763\) 1182.81 316.400i 0.0561211 0.0150124i
\(764\) 8720.84 + 4199.74i 0.412970 + 0.198876i
\(765\) −14317.0 24797.9i −0.676646 1.17198i
\(766\) 14250.7 24682.9i 0.672192 1.16427i
\(767\) −11712.9 + 7985.73i −0.551406 + 0.375942i
\(768\) −129.390 19.5024i −0.00607936 0.000916317i
\(769\) −4607.51 + 20186.8i −0.216061 + 0.946626i 0.744295 + 0.667851i \(0.232786\pi\)
−0.960356 + 0.278775i \(0.910071\pi\)
\(770\) −9076.20 12308.6i −0.424784 0.576067i
\(771\) −552.443 2420.41i −0.0258051 0.113060i
\(772\) −199.106 2656.89i −0.00928237 0.123865i
\(773\) 19231.7 + 5932.19i 0.894845 + 0.276023i 0.707871 0.706342i \(-0.249656\pi\)
0.186974 + 0.982365i \(0.440132\pi\)
\(774\) −4789.63 12203.8i −0.222429 0.566739i
\(775\) 51519.3 15891.6i 2.38791 0.736571i
\(776\) −8527.86 10693.6i −0.394500 0.494688i
\(777\) 145.520 + 145.642i 0.00671881 + 0.00672444i
\(778\) 15916.5 19958.7i 0.733464 0.919735i
\(779\) −2754.33 + 7017.92i −0.126681 + 0.322777i
\(780\) −86.7554 + 1157.67i −0.00398249 + 0.0531426i
\(781\) −12131.4 + 1828.51i −0.555819 + 0.0837762i
\(782\) −6725.94 + 6240.76i −0.307569 + 0.285382i
\(783\) 5445.77 0.248552
\(784\) −3095.30 + 4531.80i −0.141003 + 0.206442i
\(785\) 27064.0 1.23052
\(786\) −783.459 + 726.943i −0.0355535 + 0.0329888i
\(787\) 17926.1 2701.92i 0.811940 0.122380i 0.270068 0.962841i \(-0.412954\pi\)
0.541872 + 0.840461i \(0.317716\pi\)
\(788\) −439.746 + 5868.01i −0.0198798 + 0.265278i
\(789\) −1095.15 + 2790.40i −0.0494150 + 0.125907i
\(790\) −18569.4 + 23285.3i −0.836289 + 1.04867i
\(791\) 7238.04 + 20713.0i 0.325354 + 0.931061i
\(792\) 2551.99 + 3200.10i 0.114496 + 0.143574i
\(793\) 8758.47 2701.63i 0.392210 0.120981i
\(794\) −4299.49 10954.9i −0.192170 0.489641i
\(795\) 3437.89 + 1060.45i 0.153370 + 0.0473085i
\(796\) 1147.33 + 15310.1i 0.0510880 + 0.681723i
\(797\) 3994.36 + 17500.4i 0.177525 + 0.777789i 0.982768 + 0.184843i \(0.0591778\pi\)
−0.805243 + 0.592945i \(0.797965\pi\)
\(798\) 2807.78 1223.62i 0.124554 0.0542803i
\(799\) 1427.82 6255.68i 0.0632198 0.276984i
\(800\) 10777.0 + 1624.37i 0.476280 + 0.0717877i
\(801\) 15874.4 10823.0i 0.700242 0.477417i
\(802\) 11607.4 20104.6i 0.511063 0.885186i
\(803\) 8554.03 + 14816.0i 0.375922 + 0.651115i
\(804\) 506.799 + 244.062i 0.0222306 + 0.0107057i
\(805\) −14786.0 + 33851.2i −0.647378 + 1.48211i
\(806\) 7506.25 3614.82i 0.328035 0.157973i
\(807\) −1312.06 894.546i −0.0572325 0.0390205i
\(808\) 1054.18 + 978.132i 0.0458982 + 0.0425873i
\(809\) −4732.39 4391.01i −0.205664 0.190828i 0.570615 0.821217i \(-0.306705\pi\)
−0.776279 + 0.630390i \(0.782895\pi\)
\(810\) 25241.2 + 17209.2i 1.09492 + 0.746505i
\(811\) 10447.5 5031.27i 0.452359 0.217845i −0.193810 0.981039i \(-0.562084\pi\)
0.646169 + 0.763195i \(0.276370\pi\)
\(812\) 543.020 + 14677.2i 0.0234683 + 0.634322i
\(813\) −2110.81 1016.51i −0.0910570 0.0438507i
\(814\) 416.155 + 720.801i 0.0179192 + 0.0310369i
\(815\) −7978.08 + 13818.4i −0.342896 + 0.593912i
\(816\) 335.356 228.642i 0.0143870 0.00980891i
\(817\) −39215.8 5910.83i −1.67930 0.253114i
\(818\) 1597.82 7000.50i 0.0682963 0.299226i
\(819\) −11518.7 6094.00i −0.491449 0.260002i
\(820\) 895.039 + 3921.42i 0.0381172 + 0.167002i
\(821\) −1786.57 23840.1i −0.0759459 1.01343i −0.896842 0.442351i \(-0.854145\pi\)
0.820896 0.571077i \(-0.193474\pi\)
\(822\) 2837.84 + 875.358i 0.120415 + 0.0371431i
\(823\) 6241.24 + 15902.4i 0.264345 + 0.673540i 0.999993 0.00382417i \(-0.00121727\pi\)
−0.735648 + 0.677364i \(0.763122\pi\)
\(824\) 8336.89 2571.59i 0.352463 0.108720i
\(825\) 2076.88 + 2604.33i 0.0876458 + 0.109904i
\(826\) 19829.6 2225.84i 0.835303 0.0937613i
\(827\) −16667.0 + 20899.8i −0.700808 + 0.878786i −0.997084 0.0763168i \(-0.975684\pi\)
0.296275 + 0.955103i \(0.404255\pi\)
\(828\) 3611.97 9203.16i 0.151600 0.386270i
\(829\) 1141.10 15226.9i 0.0478071 0.637941i −0.920910 0.389775i \(-0.872553\pi\)
0.968717 0.248167i \(-0.0798281\pi\)
\(830\) −34378.3 + 5181.70i −1.43770 + 0.216698i
\(831\) −1068.45 + 991.372i −0.0446016 + 0.0413843i
\(832\) 1684.16 0.0701776
\(833\) −2523.03 16835.0i −0.104944 0.700239i
\(834\) 1653.22 0.0686405
\(835\) −21759.4 + 20189.8i −0.901815 + 0.836762i
\(836\) 12243.6 1845.42i 0.506522 0.0763459i
\(837\) −324.938 + 4336.00i −0.0134188 + 0.179061i
\(838\) −2592.30 + 6605.08i −0.106861 + 0.272278i
\(839\) 5573.93 6989.49i 0.229361 0.287609i −0.653812 0.756657i \(-0.726831\pi\)
0.883173 + 0.469048i \(0.155403\pi\)
\(840\) 869.966 1383.25i 0.0357341 0.0568176i
\(841\) 9301.10 + 11663.2i 0.381365 + 0.478216i
\(842\) −21877.3 + 6748.24i −0.895415 + 0.276199i
\(843\) 681.679 + 1736.89i 0.0278509 + 0.0709629i
\(844\) 3395.63 + 1047.41i 0.138486 + 0.0427173i
\(845\) 2426.01 + 32372.9i 0.0987662 + 1.31794i
\(846\) 1538.51 + 6740.66i 0.0625238 + 0.273935i
\(847\) 17856.8 + 675.654i 0.724401 + 0.0274094i
\(848\) 1161.40 5088.42i 0.0470314 0.206058i
\(849\) −344.763 51.9647i −0.0139367 0.00210062i
\(850\) −27932.1 + 19043.8i −1.12713 + 0.768468i
\(851\) 1005.20 1741.05i 0.0404908 0.0701322i
\(852\) −655.446 1135.27i −0.0263559 0.0456497i
\(853\) −24571.2 11832.8i −0.986284 0.474969i −0.130022 0.991511i \(-0.541505\pi\)
−0.856262 + 0.516542i \(0.827219\pi\)
\(854\) −12675.5 2403.84i −0.507901 0.0963206i
\(855\) 84092.4 40496.8i 3.36362 1.61984i
\(856\) −5916.29 4033.66i −0.236232 0.161060i
\(857\) 18526.9 + 17190.5i 0.738469 + 0.685199i 0.956823 0.290671i \(-0.0938784\pi\)
−0.218354 + 0.975870i \(0.570069\pi\)
\(858\) 377.333 + 350.114i 0.0150139 + 0.0139309i
\(859\) −1465.15 998.923i −0.0581960 0.0396773i 0.533873 0.845565i \(-0.320736\pi\)
−0.592069 + 0.805888i \(0.701689\pi\)
\(860\) −19063.5 + 9180.48i −0.755883 + 0.364014i
\(861\) 433.435 + 82.1986i 0.0171561 + 0.00325357i
\(862\) 14706.9 + 7082.49i 0.581114 + 0.279850i
\(863\) 1114.71 + 1930.73i 0.0439687 + 0.0761561i 0.887172 0.461438i \(-0.152666\pi\)
−0.843204 + 0.537594i \(0.819333\pi\)
\(864\) −439.486 + 761.213i −0.0173051 + 0.0299734i
\(865\) 42488.2 28968.0i 1.67011 1.13866i
\(866\) 5442.22 + 820.282i 0.213550 + 0.0321874i
\(867\) 278.646 1220.83i 0.0109150 0.0478218i
\(868\) −11718.6 443.401i −0.458244 0.0173387i
\(869\) 2938.52 + 12874.5i 0.114709 + 0.502574i
\(870\) −326.811 4360.99i −0.0127356 0.169944i
\(871\) −6918.24 2133.99i −0.269134 0.0830168i
\(872\) 193.224 + 492.328i 0.00750390 + 0.0191196i
\(873\) −43684.3 + 13474.8i −1.69357 + 0.522398i
\(874\) −18647.1 23382.7i −0.721678 0.904956i
\(875\) −45866.2 + 72927.8i −1.77207 + 2.81761i
\(876\) −1139.75 + 1429.20i −0.0439595 + 0.0551235i
\(877\) 4279.69 10904.5i 0.164783 0.419861i −0.824502 0.565860i \(-0.808544\pi\)
0.989285 + 0.145999i \(0.0466396\pi\)
\(878\) −1901.20 + 25369.7i −0.0730779 + 0.975156i
\(879\) −85.2219 + 12.8451i −0.00327015 + 0.000492896i
\(880\) 4842.54 4493.22i 0.185502 0.172121i
\(881\) 34914.7 1.33520 0.667598 0.744522i \(-0.267323\pi\)
0.667598 + 0.744522i \(0.267323\pi\)
\(882\) 10320.1 + 15164.2i 0.393988 + 0.578916i
\(883\) −44700.7 −1.70362 −0.851811 0.523850i \(-0.824495\pi\)
−0.851811 + 0.523850i \(0.824495\pi\)
\(884\) −3829.49 + 3553.25i −0.145701 + 0.135191i
\(885\) −5875.10 + 885.529i −0.223152 + 0.0336347i
\(886\) −357.169 + 4766.09i −0.0135432 + 0.180722i
\(887\) 14983.2 38176.6i 0.567178 1.44515i −0.303279 0.952902i \(-0.598081\pi\)
0.870457 0.492245i \(-0.163823\pi\)
\(888\) −55.4489 + 69.5307i −0.00209543 + 0.00262759i
\(889\) −8806.00 + 988.458i −0.332220 + 0.0372911i
\(890\) −19333.4 24243.4i −0.728155 0.913078i
\(891\) 12943.7 3992.60i 0.486678 0.150120i
\(892\) 6806.22 + 17342.0i 0.255481 + 0.650955i
\(893\) 19986.2 + 6164.91i 0.748949 + 0.231020i
\(894\) 239.874 + 3200.90i 0.00897381 + 0.119747i
\(895\) −7372.73 32302.0i −0.275355 1.20641i
\(896\) −2095.41 1108.58i −0.0781282 0.0413339i
\(897\) 276.667 1212.16i 0.0102984 0.0451201i
\(898\) 10951.1 + 1650.61i 0.406951 + 0.0613381i
\(899\) −25931.0 + 17679.5i −0.962011 + 0.655888i
\(900\) 18213.6 31546.9i 0.674579 1.16841i
\(901\) 8094.76 + 14020.5i 0.299307 + 0.518415i
\(902\) 1606.83 + 773.809i 0.0593144 + 0.0285643i
\(903\) 85.8010 + 2319.11i 0.00316199 + 0.0854651i
\(904\) −8539.13 + 4112.23i −0.314167 + 0.151295i
\(905\) −43516.5 29669.1i −1.59838 1.08976i
\(906\) −1923.37 1784.62i −0.0705293 0.0654416i
\(907\) 15633.7 + 14506.0i 0.572337 + 0.531051i 0.912372 0.409362i \(-0.134249\pi\)
−0.340035 + 0.940413i \(0.610439\pi\)
\(908\) −5138.41 3503.31i −0.187802 0.128041i
\(909\) 4330.51 2085.46i 0.158013 0.0760951i
\(910\) −8418.60 + 19273.6i −0.306675 + 0.702102i
\(911\) 4450.96 + 2143.47i 0.161874 + 0.0779543i 0.513066 0.858349i \(-0.328509\pi\)
−0.351193 + 0.936303i \(0.614224\pi\)
\(912\) 661.507 + 1145.76i 0.0240183 + 0.0416009i
\(913\) −7707.65 + 13350.0i −0.279393 + 0.483923i
\(914\) 23718.2 16170.8i 0.858345 0.585210i
\(915\) 3798.58 + 572.543i 0.137243 + 0.0206860i
\(916\) 3692.13 16176.3i 0.133178 0.583493i
\(917\) −17750.1 + 7735.45i −0.639216 + 0.278568i
\(918\) −606.693 2658.10i −0.0218125 0.0955668i
\(919\) 4107.23 + 54807.2i 0.147427 + 1.96727i 0.237655 + 0.971350i \(0.423621\pi\)
−0.0902282 + 0.995921i \(0.528760\pi\)
\(920\) −15247.5 4703.23i −0.546408 0.168544i
\(921\) 23.6481 + 60.2545i 0.000846072 + 0.00215576i
\(922\) −5177.72 + 1597.12i −0.184945 + 0.0570480i
\(923\) 10519.7 + 13191.2i 0.375145 + 0.470417i
\(924\) −239.015 683.984i −0.00850974 0.0243522i
\(925\) 4618.39 5791.28i 0.164164 0.205855i
\(926\) −4702.53 + 11981.9i −0.166884 + 0.425214i
\(927\) 2179.15 29078.7i 0.0772088 1.03028i
\(928\) −6273.44 + 945.569i −0.221914 + 0.0334481i
\(929\) 7167.81 6650.76i 0.253141 0.234881i −0.543387 0.839483i \(-0.682858\pi\)
0.796528 + 0.604602i \(0.206668\pi\)
\(930\) 3491.79 0.123118
\(931\) 55336.5 4100.23i 1.94799 0.144339i
\(932\) −5016.99 −0.176327
\(933\) −224.043 + 207.881i −0.00786156 + 0.00729446i
\(934\) 5219.23 786.672i 0.182846 0.0275596i
\(935\) −1531.29 + 20433.6i −0.0535599 + 0.714707i
\(936\) 2056.52 5239.92i 0.0718156 0.182983i
\(937\) −16069.2 + 20150.2i −0.560255 + 0.702538i −0.978605 0.205748i \(-0.934037\pi\)
0.418350 + 0.908286i \(0.362609\pi\)
\(938\) 7202.91 + 7208.96i 0.250729 + 0.250939i
\(939\) 2228.32 + 2794.22i 0.0774425 + 0.0971098i
\(940\) 10663.1 3289.12i 0.369991 0.114127i
\(941\) 4202.99 + 10709.0i 0.145604 + 0.370994i 0.985007 0.172517i \(-0.0551900\pi\)
−0.839402 + 0.543511i \(0.817095\pi\)
\(942\) 1225.25 + 377.939i 0.0423787 + 0.0130721i
\(943\) −321.923 4295.76i −0.0111169 0.148345i
\(944\) 1917.99 + 8403.27i 0.0661285 + 0.289728i
\(945\) −6514.49 8834.57i −0.224250 0.304115i
\(946\) −2087.63 + 9146.49i −0.0717490 + 0.314353i
\(947\) 37875.6 + 5708.82i 1.29967 + 0.195894i 0.762175 0.647371i \(-0.224131\pi\)
0.537498 + 0.843265i \(0.319370\pi\)
\(948\) −1165.85 + 794.861i −0.0399420 + 0.0272320i
\(949\) 11764.0 20375.8i 0.402398 0.696973i
\(950\) −55097.5 95431.7i −1.88168 3.25917i
\(951\) 3684.63 + 1774.43i 0.125639 + 0.0605044i
\(952\) 7103.50 1900.19i 0.241834 0.0646905i
\(953\) 16724.5 8054.08i 0.568477 0.273764i −0.127487 0.991840i \(-0.540691\pi\)
0.695965 + 0.718076i \(0.254977\pi\)
\(954\) −14413.4 9826.91i −0.489153 0.333499i
\(955\) −38275.7 35514.6i −1.29693 1.20338i
\(956\) −5445.10 5052.31i −0.184212 0.170924i
\(957\) −1602.13 1092.31i −0.0541164 0.0368959i
\(958\) 3292.16 1585.42i 0.111028 0.0534683i
\(959\) 43276.1 + 31967.2i 1.45720 + 1.07641i
\(960\) 635.956 + 306.260i 0.0213806 + 0.0102964i
\(961\) 2366.10 + 4098.21i 0.0794234 + 0.137565i
\(962\) 572.320 991.288i 0.0191812 0.0332229i
\(963\) −19774.3 + 13481.9i −0.661699 + 0.451139i
\(964\) 14097.2 + 2124.80i 0.470994 + 0.0709910i
\(965\) −3198.16 + 14012.0i −0.106686 + 0.467423i
\(966\) −1142.12 + 1326.04i −0.0380404 + 0.0441663i
\(967\) 6105.83 + 26751.4i 0.203051 + 0.889624i 0.969066 + 0.246801i \(0.0793795\pi\)
−0.766015 + 0.642822i \(0.777763\pi\)
\(968\) 576.837 + 7697.36i 0.0191531 + 0.255581i
\(969\) −3921.49 1209.62i −0.130007 0.0401017i
\(970\) 26955.6 + 68681.7i 0.892259 + 2.27344i
\(971\) 6826.81 2105.79i 0.225626 0.0695964i −0.179881 0.983688i \(-0.557571\pi\)
0.405507 + 0.914092i \(0.367095\pi\)
\(972\) 2752.01 + 3450.91i 0.0908136 + 0.113877i
\(973\) 28265.9 + 9903.98i 0.931309 + 0.326317i
\(974\) 22660.3 28415.1i 0.745466 0.934784i
\(975\) 1673.65 4264.40i 0.0549742 0.140072i
\(976\) 416.463 5557.32i 0.0136585 0.182260i
\(977\) −39002.6 + 5878.69i −1.27718 + 0.192504i −0.752384 0.658725i \(-0.771096\pi\)
−0.524795 + 0.851229i \(0.675858\pi\)
\(978\) −554.155 + 514.181i −0.0181185 + 0.0168115i
\(979\) −13748.9 −0.448844
\(980\) 23161.0 18438.5i 0.754950 0.601017i
\(981\) 1767.72 0.0575322
\(982\) 7600.77 7052.48i 0.246996 0.229179i
\(983\) −59091.9 + 8906.67i −1.91733 + 0.288992i −0.995199 0.0978763i \(-0.968795\pi\)
−0.922135 + 0.386868i \(0.873557\pi\)
\(984\) −14.2408 + 190.030i −0.000461362 + 0.00615645i
\(985\) 11597.0 29548.6i 0.375137 0.955834i
\(986\) 12269.8 15385.8i 0.396297 0.496941i
\(987\) 137.543 1216.14i 0.00443570 0.0392201i
\(988\) −10616.9 13313.2i −0.341872 0.428694i
\(989\) 21654.2 6679.43i 0.696221 0.214756i
\(990\) −8066.55 20553.2i −0.258962 0.659823i
\(991\) 44472.8 + 13718.0i 1.42555 + 0.439725i 0.909096 0.416588i \(-0.136774\pi\)
0.516458 + 0.856313i \(0.327250\pi\)
\(992\) −378.552 5051.43i −0.0121160 0.161676i
\(993\) 347.144 + 1520.94i 0.0110939 + 0.0486057i
\(994\) −4405.43 23336.8i −0.140575 0.744668i
\(995\) 18429.1 80743.1i 0.587177 2.57259i
\(996\) −1628.74 245.494i −0.0518160 0.00781000i
\(997\) −32964.6 + 22474.9i −1.04714 + 0.713928i −0.959352 0.282211i \(-0.908932\pi\)
−0.0877878 + 0.996139i \(0.527980\pi\)
\(998\) 5460.80 9458.38i 0.173205 0.300000i
\(999\) 298.697 + 517.359i 0.00945982 + 0.0163849i
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 98.4.g.a.11.4 yes 84
49.9 even 21 inner 98.4.g.a.9.4 84
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
98.4.g.a.9.4 84 49.9 even 21 inner
98.4.g.a.11.4 yes 84 1.1 even 1 trivial