Properties

Label 201.3.n.b.13.4
Level $201$
Weight $3$
Character 201.13
Analytic conductor $5.477$
Analytic rank $0$
Dimension $240$
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] = [201,3,Mod(7,201)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(201, base_ring=CyclotomicField(66))
 
chi = DirichletCharacter(H, H._module([0, 23]))
 
N = Newforms(chi, 3, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("201.7");
 
S:= CuspForms(chi, 3);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 201 = 3 \cdot 67 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 201.n (of order \(66\), degree \(20\), 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: \(5.47685331364\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 13.4
Character \(\chi\) \(=\) 201.13
Dual form 201.3.n.b.31.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.37068 - 1.74296i) q^{2} +(-1.30900 - 1.13425i) q^{3} +(-0.216110 + 0.890817i) q^{4} +(-2.17329 - 3.38170i) q^{5} +(-0.182742 + 3.83622i) q^{6} +(4.27625 - 10.6815i) q^{7} +(-6.21903 + 2.84014i) q^{8} +(0.426945 + 2.96946i) q^{9} +O(q^{10})\) \(q+(-1.37068 - 1.74296i) q^{2} +(-1.30900 - 1.13425i) q^{3} +(-0.216110 + 0.890817i) q^{4} +(-2.17329 - 3.38170i) q^{5} +(-0.182742 + 3.83622i) q^{6} +(4.27625 - 10.6815i) q^{7} +(-6.21903 + 2.84014i) q^{8} +(0.426945 + 2.96946i) q^{9} +(-2.91529 + 8.42317i) q^{10} +(2.84427 - 0.135489i) q^{11} +(1.29330 - 0.920954i) q^{12} +(-2.08561 - 21.8415i) q^{13} +(-24.4788 + 7.18763i) q^{14} +(-0.990876 + 6.89169i) q^{15} +(16.7335 + 8.62674i) q^{16} +(5.87335 + 24.2103i) q^{17} +(4.59045 - 4.81432i) q^{18} +(-23.9175 + 9.57512i) q^{19} +(3.48215 - 1.20518i) q^{20} +(-17.7132 + 9.13177i) q^{21} +(-4.13472 - 4.77172i) q^{22} +(7.01670 + 1.35236i) q^{23} +(11.3621 + 3.33622i) q^{24} +(3.67265 - 8.04198i) q^{25} +(-35.2101 + 33.5727i) q^{26} +(2.80925 - 4.37128i) q^{27} +(8.59117 + 6.11774i) q^{28} +(-7.35879 + 12.7458i) q^{29} +(13.3701 - 7.71923i) q^{30} +(-1.55693 + 16.3049i) q^{31} +(-2.72470 - 14.1371i) q^{32} +(-3.87681 - 3.04876i) q^{33} +(34.1470 - 43.4215i) q^{34} +(-45.4153 + 8.75308i) q^{35} +(-2.73752 - 0.261401i) q^{36} +(27.8534 + 48.2436i) q^{37} +(49.4722 + 28.5628i) q^{38} +(-22.0437 + 30.9560i) q^{39} +(23.1202 + 14.8585i) q^{40} +(5.04634 + 5.29245i) q^{41} +(40.1953 + 18.3566i) q^{42} +(4.57190 - 15.5705i) q^{43} +(-0.493978 + 2.56300i) q^{44} +(9.11397 - 7.89730i) q^{45} +(-7.26052 - 14.0834i) q^{46} +(-18.9395 - 54.7220i) q^{47} +(-12.1193 - 30.2724i) q^{48} +(-60.3462 - 57.5400i) q^{49} +(-19.0508 + 4.62169i) q^{50} +(19.7724 - 38.3530i) q^{51} +(19.9075 + 2.86226i) q^{52} +(-24.4451 - 83.2523i) q^{53} +(-11.4695 + 1.09521i) q^{54} +(-6.63959 - 9.32400i) q^{55} +(3.74294 + 78.5740i) q^{56} +(42.1685 + 14.5947i) q^{57} +(32.3019 - 4.64432i) q^{58} +(-44.6549 - 97.7806i) q^{59} +(-5.92510 - 2.37205i) q^{60} +(-17.4287 - 0.830233i) q^{61} +(30.5529 - 19.6351i) q^{62} +(33.5442 + 8.13773i) q^{63} +(28.4089 - 32.7857i) q^{64} +(-69.3287 + 54.5207i) q^{65} +10.9360i q^{66} +(66.9920 - 1.03847i) q^{67} -22.8362 q^{68} +(-7.65092 - 9.72893i) q^{69} +(77.5060 + 67.1593i) q^{70} +(-0.838592 + 3.45672i) q^{71} +(-11.0889 - 17.2546i) q^{72} +(-1.86029 + 39.0523i) q^{73} +(45.9084 - 114.674i) q^{74} +(-13.9291 + 6.36122i) q^{75} +(-3.36087 - 23.3754i) q^{76} +(10.7155 - 30.9605i) q^{77} +(84.1698 - 4.00950i) q^{78} +(71.5470 - 50.9484i) q^{79} +(-7.19374 - 75.3362i) q^{80} +(-8.63544 + 2.53559i) q^{81} +(2.30761 - 16.0498i) q^{82} +(-67.5359 - 34.8172i) q^{83} +(-4.30675 - 17.7526i) q^{84} +(69.1074 - 72.4778i) q^{85} +(-33.4053 + 13.3734i) q^{86} +(24.0896 - 8.33749i) q^{87} +(-17.3038 + 8.92071i) q^{88} +(24.1690 + 27.8925i) q^{89} +(-26.2570 - 5.06061i) q^{90} +(-242.219 - 71.1220i) q^{91} +(-2.72108 + 5.95833i) q^{92} +(20.5319 - 19.5772i) q^{93} +(-69.4183 + 108.017i) q^{94} +(84.3598 + 60.0723i) q^{95} +(-12.4684 + 21.5959i) q^{96} +(-97.7815 + 56.4542i) q^{97} +(-17.5746 + 184.049i) q^{98} +(1.61667 + 8.38810i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 34 q^{4} - 33 q^{6} - 21 q^{7} - 33 q^{8} + 72 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 240 q - 34 q^{4} - 33 q^{6} - 21 q^{7} - 33 q^{8} + 72 q^{9} + 69 q^{10} - 111 q^{11} - 3 q^{12} - 30 q^{13} - 6 q^{14} - 27 q^{15} + 98 q^{16} - 4 q^{17} + 16 q^{19} - 108 q^{20} + 21 q^{21} + 27 q^{22} + 178 q^{23} + 36 q^{24} + 222 q^{25} - 29 q^{26} - 112 q^{28} - 77 q^{29} + 90 q^{30} + 137 q^{31} + 44 q^{32} + 12 q^{33} - 72 q^{34} - 237 q^{35} + 3 q^{36} + 132 q^{37} + 210 q^{38} - 30 q^{39} + 749 q^{40} - 150 q^{41} - 132 q^{42} - 385 q^{43} + 9 q^{44} - 443 q^{46} - 166 q^{47} - 294 q^{48} - 295 q^{49} - 6 q^{50} + 276 q^{51} - 1804 q^{52} + 176 q^{53} + 199 q^{55} - 1361 q^{56} - 114 q^{57} + 968 q^{58} - 214 q^{59} - 420 q^{60} - 274 q^{61} + 334 q^{62} - 102 q^{63} + 683 q^{64} - 224 q^{65} + 47 q^{67} + 870 q^{68} + 27 q^{69} - 44 q^{70} + 271 q^{71} + 264 q^{72} + 594 q^{73} - 1289 q^{74} + 396 q^{75} + 494 q^{76} + 1360 q^{77} + 441 q^{78} + 1023 q^{79} + 15 q^{80} - 216 q^{81} - 316 q^{82} - 225 q^{83} + 1527 q^{84} - 153 q^{85} - 91 q^{86} - 1676 q^{88} + 871 q^{89} - 207 q^{90} - 692 q^{91} - 488 q^{92} - 390 q^{93} + 440 q^{94} - 531 q^{95} - 33 q^{96} + 84 q^{97} + 85 q^{98} + 36 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).

\(n\) \(68\) \(136\)
\(\chi(n)\) \(1\) \(e\left(\frac{19}{66}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.37068 1.74296i −0.685338 0.871479i 0.311556 0.950228i \(-0.399150\pi\)
−0.996894 + 0.0787490i \(0.974907\pi\)
\(3\) −1.30900 1.13425i −0.436332 0.378084i
\(4\) −0.216110 + 0.890817i −0.0540275 + 0.222704i
\(5\) −2.17329 3.38170i −0.434658 0.676340i 0.552962 0.833206i \(-0.313497\pi\)
−0.987620 + 0.156866i \(0.949861\pi\)
\(6\) −0.182742 + 3.83622i −0.0304569 + 0.639370i
\(7\) 4.27625 10.6815i 0.610892 1.52594i −0.223466 0.974712i \(-0.571737\pi\)
0.834358 0.551223i \(-0.185839\pi\)
\(8\) −6.21903 + 2.84014i −0.777379 + 0.355017i
\(9\) 0.426945 + 2.96946i 0.0474383 + 0.329940i
\(10\) −2.91529 + 8.42317i −0.291529 + 0.842317i
\(11\) 2.84427 0.135489i 0.258570 0.0123172i 0.0821031 0.996624i \(-0.473836\pi\)
0.176466 + 0.984307i \(0.443533\pi\)
\(12\) 1.29330 0.920954i 0.107775 0.0767461i
\(13\) −2.08561 21.8415i −0.160431 1.68011i −0.614322 0.789055i \(-0.710570\pi\)
0.453891 0.891057i \(-0.350036\pi\)
\(14\) −24.4788 + 7.18763i −1.74849 + 0.513402i
\(15\) −0.990876 + 6.89169i −0.0660584 + 0.459446i
\(16\) 16.7335 + 8.62674i 1.04585 + 0.539171i
\(17\) 5.87335 + 24.2103i 0.345491 + 1.42413i 0.834092 + 0.551626i \(0.185992\pi\)
−0.488601 + 0.872508i \(0.662492\pi\)
\(18\) 4.59045 4.81432i 0.255025 0.267462i
\(19\) −23.9175 + 9.57512i −1.25882 + 0.503954i −0.902612 0.430455i \(-0.858353\pi\)
−0.356203 + 0.934408i \(0.615929\pi\)
\(20\) 3.48215 1.20518i 0.174107 0.0602591i
\(21\) −17.7132 + 9.13177i −0.843484 + 0.434846i
\(22\) −4.13472 4.77172i −0.187942 0.216896i
\(23\) 7.01670 + 1.35236i 0.305074 + 0.0587981i 0.339491 0.940609i \(-0.389745\pi\)
−0.0344170 + 0.999408i \(0.510957\pi\)
\(24\) 11.3621 + 3.33622i 0.473422 + 0.139009i
\(25\) 3.67265 8.04198i 0.146906 0.321679i
\(26\) −35.2101 + 33.5727i −1.35423 + 1.29126i
\(27\) 2.80925 4.37128i 0.104046 0.161899i
\(28\) 8.59117 + 6.11774i 0.306827 + 0.218491i
\(29\) −7.35879 + 12.7458i −0.253752 + 0.439511i −0.964556 0.263879i \(-0.914998\pi\)
0.710804 + 0.703390i \(0.248331\pi\)
\(30\) 13.3701 7.71923i 0.445670 0.257308i
\(31\) −1.55693 + 16.3049i −0.0502236 + 0.525966i 0.934995 + 0.354662i \(0.115404\pi\)
−0.985218 + 0.171304i \(0.945202\pi\)
\(32\) −2.72470 14.1371i −0.0851468 0.441784i
\(33\) −3.87681 3.04876i −0.117479 0.0923866i
\(34\) 34.1470 43.4215i 1.00432 1.27710i
\(35\) −45.4153 + 8.75308i −1.29758 + 0.250088i
\(36\) −2.73752 0.261401i −0.0760421 0.00726114i
\(37\) 27.8534 + 48.2436i 0.752796 + 1.30388i 0.946463 + 0.322813i \(0.104629\pi\)
−0.193667 + 0.981067i \(0.562038\pi\)
\(38\) 49.4722 + 28.5628i 1.30190 + 0.751652i
\(39\) −22.0437 + 30.9560i −0.565222 + 0.793744i
\(40\) 23.1202 + 14.8585i 0.578006 + 0.371462i
\(41\) 5.04634 + 5.29245i 0.123082 + 0.129084i 0.782391 0.622787i \(-0.214000\pi\)
−0.659310 + 0.751872i \(0.729151\pi\)
\(42\) 40.1953 + 18.3566i 0.957031 + 0.437061i
\(43\) 4.57190 15.5705i 0.106323 0.362104i −0.889095 0.457723i \(-0.848665\pi\)
0.995418 + 0.0956195i \(0.0304832\pi\)
\(44\) −0.493978 + 2.56300i −0.0112268 + 0.0582500i
\(45\) 9.11397 7.89730i 0.202533 0.175496i
\(46\) −7.26052 14.0834i −0.157837 0.306162i
\(47\) −18.9395 54.7220i −0.402968 1.16430i −0.945882 0.324511i \(-0.894800\pi\)
0.542914 0.839788i \(-0.317321\pi\)
\(48\) −12.1193 30.2724i −0.252484 0.630676i
\(49\) −60.3462 57.5400i −1.23155 1.17428i
\(50\) −19.0508 + 4.62169i −0.381017 + 0.0924337i
\(51\) 19.7724 38.3530i 0.387693 0.752020i
\(52\) 19.9075 + 2.86226i 0.382836 + 0.0550435i
\(53\) −24.4451 83.2523i −0.461228 1.57080i −0.781772 0.623565i \(-0.785684\pi\)
0.320544 0.947234i \(-0.396134\pi\)
\(54\) −11.4695 + 1.09521i −0.212399 + 0.0202816i
\(55\) −6.63959 9.32400i −0.120720 0.169527i
\(56\) 3.74294 + 78.5740i 0.0668382 + 1.40311i
\(57\) 42.1685 + 14.5947i 0.739799 + 0.256047i
\(58\) 32.3019 4.64432i 0.556930 0.0800744i
\(59\) −44.6549 97.7806i −0.756862 1.65730i −0.753627 0.657303i \(-0.771697\pi\)
−0.00323573 0.999995i \(-0.501030\pi\)
\(60\) −5.92510 2.37205i −0.0987517 0.0395342i
\(61\) −17.4287 0.830233i −0.285717 0.0136104i −0.0957657 0.995404i \(-0.530530\pi\)
−0.189951 + 0.981794i \(0.560833\pi\)
\(62\) 30.5529 19.6351i 0.492788 0.316696i
\(63\) 33.5442 + 8.13773i 0.532447 + 0.129170i
\(64\) 28.4089 32.7857i 0.443890 0.512276i
\(65\) −69.3287 + 54.5207i −1.06660 + 0.838780i
\(66\) 10.9360i 0.165697i
\(67\) 66.9920 1.03847i 0.999880 0.0154996i
\(68\) −22.8362 −0.335827
\(69\) −7.65092 9.72893i −0.110883 0.140999i
\(70\) 77.5060 + 67.1593i 1.10723 + 0.959419i
\(71\) −0.838592 + 3.45672i −0.0118112 + 0.0486862i −0.977412 0.211342i \(-0.932217\pi\)
0.965601 + 0.260028i \(0.0837318\pi\)
\(72\) −11.0889 17.2546i −0.154012 0.239647i
\(73\) −1.86029 + 39.0523i −0.0254834 + 0.534963i 0.949646 + 0.313326i \(0.101443\pi\)
−0.975129 + 0.221638i \(0.928860\pi\)
\(74\) 45.9084 114.674i 0.620384 1.54964i
\(75\) −13.9291 + 6.36122i −0.185722 + 0.0848162i
\(76\) −3.36087 23.3754i −0.0442220 0.307571i
\(77\) 10.7155 30.9605i 0.139163 0.402085i
\(78\) 84.1698 4.00950i 1.07910 0.0514038i
\(79\) 71.5470 50.9484i 0.905658 0.644916i −0.0293399 0.999569i \(-0.509341\pi\)
0.934998 + 0.354653i \(0.115401\pi\)
\(80\) −7.19374 75.3362i −0.0899217 0.941703i
\(81\) −8.63544 + 2.53559i −0.106610 + 0.0313036i
\(82\) 2.30761 16.0498i 0.0281416 0.195729i
\(83\) −67.5359 34.8172i −0.813685 0.419484i 0.000563711 1.00000i \(-0.499821\pi\)
−0.814249 + 0.580516i \(0.802851\pi\)
\(84\) −4.30675 17.7526i −0.0512708 0.211341i
\(85\) 69.1074 72.4778i 0.813028 0.852680i
\(86\) −33.4053 + 13.3734i −0.388433 + 0.155505i
\(87\) 24.0896 8.33749i 0.276892 0.0958332i
\(88\) −17.3038 + 8.92071i −0.196634 + 0.101372i
\(89\) 24.1690 + 27.8925i 0.271562 + 0.313399i 0.875107 0.483930i \(-0.160791\pi\)
−0.603545 + 0.797329i \(0.706246\pi\)
\(90\) −26.2570 5.06061i −0.291744 0.0562291i
\(91\) −242.219 71.1220i −2.66175 0.781560i
\(92\) −2.72108 + 5.95833i −0.0295770 + 0.0647645i
\(93\) 20.5319 19.5772i 0.220773 0.210507i
\(94\) −69.4183 + 108.017i −0.738492 + 1.14912i
\(95\) 84.3598 + 60.0723i 0.887998 + 0.632340i
\(96\) −12.4684 + 21.5959i −0.129879 + 0.224957i
\(97\) −97.7815 + 56.4542i −1.00806 + 0.582002i −0.910622 0.413240i \(-0.864397\pi\)
−0.0974343 + 0.995242i \(0.531064\pi\)
\(98\) −17.5746 + 184.049i −0.179333 + 1.87806i
\(99\) 1.61667 + 8.38810i 0.0163300 + 0.0847283i
\(100\) 6.37024 + 5.00961i 0.0637024 + 0.0500961i
\(101\) 52.1270 66.2848i 0.516109 0.656285i −0.456230 0.889862i \(-0.650801\pi\)
0.972338 + 0.233577i \(0.0750429\pi\)
\(102\) −93.9492 + 18.1072i −0.921070 + 0.177522i
\(103\) 109.795 + 10.4842i 1.06597 + 0.101788i 0.613269 0.789874i \(-0.289854\pi\)
0.452702 + 0.891662i \(0.350460\pi\)
\(104\) 75.0032 + 129.909i 0.721184 + 1.24913i
\(105\) 69.3767 + 40.0547i 0.660730 + 0.381473i
\(106\) −111.599 + 156.719i −1.05282 + 1.47848i
\(107\) 45.1152 + 28.9938i 0.421638 + 0.270970i 0.734208 0.678924i \(-0.237554\pi\)
−0.312570 + 0.949895i \(0.601190\pi\)
\(108\) 3.28691 + 3.44721i 0.0304343 + 0.0319186i
\(109\) −95.6228 43.6695i −0.877274 0.400637i −0.0747109 0.997205i \(-0.523803\pi\)
−0.802563 + 0.596568i \(0.796531\pi\)
\(110\) −7.15060 + 24.3527i −0.0650055 + 0.221388i
\(111\) 18.2603 94.7435i 0.164507 0.853545i
\(112\) 163.704 141.850i 1.46164 1.26652i
\(113\) 25.0772 + 48.6429i 0.221922 + 0.430468i 0.973343 0.229355i \(-0.0736616\pi\)
−0.751421 + 0.659823i \(0.770631\pi\)
\(114\) −32.3615 93.5025i −0.283873 0.820197i
\(115\) −10.6760 26.6674i −0.0928350 0.231891i
\(116\) −9.76387 9.30984i −0.0841713 0.0802572i
\(117\) 63.9670 15.5182i 0.546727 0.132634i
\(118\) −109.220 + 211.857i −0.925593 + 1.79540i
\(119\) 283.719 + 40.7926i 2.38419 + 0.342795i
\(120\) −13.4111 45.6739i −0.111759 0.380615i
\(121\) −112.381 + 10.7310i −0.928765 + 0.0886863i
\(122\) 22.4421 + 31.5155i 0.183952 + 0.258324i
\(123\) −0.602671 12.6516i −0.00489977 0.102859i
\(124\) −14.1882 4.91060i −0.114421 0.0396016i
\(125\) −134.650 + 19.3598i −1.07720 + 0.154878i
\(126\) −31.7945 69.6203i −0.252337 0.552542i
\(127\) 127.929 + 51.2149i 1.00731 + 0.403267i 0.815869 0.578237i \(-0.196259\pi\)
0.191443 + 0.981504i \(0.438683\pi\)
\(128\) −153.607 7.31722i −1.20006 0.0571658i
\(129\) −23.6454 + 15.1960i −0.183298 + 0.117798i
\(130\) 190.054 + 46.1067i 1.46196 + 0.354667i
\(131\) −99.5701 + 114.910i −0.760077 + 0.877176i −0.995504 0.0947161i \(-0.969806\pi\)
0.235427 + 0.971892i \(0.424351\pi\)
\(132\) 3.55370 2.79466i 0.0269220 0.0211717i
\(133\) 296.421i 2.22873i
\(134\) −93.6343 115.341i −0.698764 0.860752i
\(135\) −20.8877 −0.154724
\(136\) −105.287 133.883i −0.774169 0.984436i
\(137\) −168.669 146.153i −1.23116 1.06681i −0.995479 0.0949788i \(-0.969722\pi\)
−0.235683 0.971830i \(-0.575733\pi\)
\(138\) −6.47018 + 26.6704i −0.0468854 + 0.193264i
\(139\) 44.6918 + 69.5419i 0.321524 + 0.500301i 0.963963 0.266035i \(-0.0857138\pi\)
−0.642439 + 0.766337i \(0.722077\pi\)
\(140\) 2.01730 42.3484i 0.0144093 0.302488i
\(141\) −37.2769 + 93.1131i −0.264375 + 0.660377i
\(142\) 7.17436 3.27642i 0.0505237 0.0230734i
\(143\) −8.89130 61.8403i −0.0621769 0.432450i
\(144\) −18.4725 + 53.3728i −0.128281 + 0.370644i
\(145\) 59.0953 2.81506i 0.407554 0.0194142i
\(146\) 70.6164 50.2857i 0.483674 0.344423i
\(147\) 13.7281 + 143.767i 0.0933886 + 0.978009i
\(148\) −48.9956 + 14.3864i −0.331051 + 0.0972055i
\(149\) −3.88306 + 27.0073i −0.0260608 + 0.181257i −0.998694 0.0510886i \(-0.983731\pi\)
0.972633 + 0.232346i \(0.0746400\pi\)
\(150\) 30.1797 + 15.5587i 0.201198 + 0.103725i
\(151\) −4.12439 17.0010i −0.0273138 0.112589i 0.956523 0.291658i \(-0.0942068\pi\)
−0.983837 + 0.179068i \(0.942692\pi\)
\(152\) 121.549 127.477i 0.799664 0.838664i
\(153\) −69.3839 + 27.7771i −0.453490 + 0.181550i
\(154\) −68.6504 + 23.7602i −0.445782 + 0.154287i
\(155\) 58.5221 30.1702i 0.377562 0.194647i
\(156\) −22.8123 26.3268i −0.146233 0.168761i
\(157\) −136.564 26.3205i −0.869834 0.167647i −0.265242 0.964182i \(-0.585452\pi\)
−0.604592 + 0.796535i \(0.706664\pi\)
\(158\) −186.869 54.8696i −1.18271 0.347276i
\(159\) −62.4306 + 136.704i −0.392645 + 0.859773i
\(160\) −41.8858 + 39.9381i −0.261786 + 0.249613i
\(161\) 44.4504 69.1661i 0.276089 0.429603i
\(162\) 16.2558 + 11.5757i 0.100345 + 0.0714551i
\(163\) 141.451 245.000i 0.867795 1.50307i 0.00355013 0.999994i \(-0.498870\pi\)
0.864245 0.503071i \(-0.167797\pi\)
\(164\) −5.80517 + 3.35162i −0.0353974 + 0.0204367i
\(165\) −1.88456 + 19.7361i −0.0114216 + 0.119612i
\(166\) 31.8850 + 165.435i 0.192078 + 0.996598i
\(167\) 185.618 + 145.972i 1.11149 + 0.874083i 0.992911 0.118862i \(-0.0379247\pi\)
0.118576 + 0.992945i \(0.462167\pi\)
\(168\) 84.2232 107.098i 0.501328 0.637491i
\(169\) −306.754 + 59.1220i −1.81511 + 0.349834i
\(170\) −221.050 21.1077i −1.30029 0.124163i
\(171\) −38.6444 66.9341i −0.225991 0.391427i
\(172\) 12.8824 + 7.43766i 0.0748977 + 0.0432422i
\(173\) 163.338 229.376i 0.944149 1.32587i −0.00126507 0.999999i \(-0.500403\pi\)
0.945414 0.325872i \(-0.105658\pi\)
\(174\) −47.5509 30.5591i −0.273281 0.175627i
\(175\) −70.1956 73.6191i −0.401118 0.420680i
\(176\) 48.7635 + 22.2695i 0.277065 + 0.126531i
\(177\) −52.4547 + 178.644i −0.296354 + 1.00929i
\(178\) 15.4876 80.3571i 0.0870088 0.451445i
\(179\) 5.49234 4.75914i 0.0306835 0.0265874i −0.639384 0.768888i \(-0.720811\pi\)
0.670068 + 0.742300i \(0.266265\pi\)
\(180\) 5.06543 + 9.82556i 0.0281413 + 0.0545865i
\(181\) 54.9614 + 158.800i 0.303654 + 0.877351i 0.988840 + 0.148982i \(0.0475997\pi\)
−0.685186 + 0.728368i \(0.740279\pi\)
\(182\) 208.042 + 519.663i 1.14309 + 2.85529i
\(183\) 21.8725 + 20.8554i 0.119522 + 0.113964i
\(184\) −47.4779 + 11.5180i −0.258032 + 0.0625979i
\(185\) 102.612 199.039i 0.554659 1.07589i
\(186\) −62.2648 8.95232i −0.334757 0.0481308i
\(187\) 19.9856 + 68.0646i 0.106875 + 0.363982i
\(188\) 52.8403 5.04564i 0.281066 0.0268385i
\(189\) −34.6790 48.6998i −0.183487 0.257671i
\(190\) −10.9265 229.375i −0.0575078 1.20724i
\(191\) 23.8956 + 8.27033i 0.125108 + 0.0433002i 0.388904 0.921278i \(-0.372854\pi\)
−0.263797 + 0.964578i \(0.584975\pi\)
\(192\) −74.3744 + 10.6934i −0.387367 + 0.0556949i
\(193\) −42.3422 92.7165i −0.219390 0.480397i 0.767651 0.640869i \(-0.221426\pi\)
−0.987040 + 0.160472i \(0.948698\pi\)
\(194\) 232.424 + 93.0485i 1.19806 + 0.479632i
\(195\) 152.591 + 7.26882i 0.782519 + 0.0372760i
\(196\) 64.2990 41.3224i 0.328056 0.210829i
\(197\) −99.2373 24.0747i −0.503743 0.122207i −0.0241683 0.999708i \(-0.507694\pi\)
−0.479574 + 0.877501i \(0.659209\pi\)
\(198\) 12.4042 14.3152i 0.0626473 0.0722988i
\(199\) 204.475 160.801i 1.02751 0.808043i 0.0459016 0.998946i \(-0.485384\pi\)
0.981609 + 0.190903i \(0.0611415\pi\)
\(200\) 60.4441i 0.302221i
\(201\) −88.8701 74.6264i −0.442140 0.371276i
\(202\) −186.981 −0.925648
\(203\) 104.677 + 133.107i 0.515650 + 0.655702i
\(204\) 29.8925 + 25.9020i 0.146532 + 0.126971i
\(205\) 6.93034 28.5672i 0.0338065 0.139352i
\(206\) −132.220 205.739i −0.641845 0.998731i
\(207\) −1.02004 + 21.4132i −0.00492771 + 0.103445i
\(208\) 153.521 383.477i 0.738082 1.84364i
\(209\) −66.7304 + 30.4747i −0.319284 + 0.145812i
\(210\) −25.2795 175.823i −0.120378 0.837251i
\(211\) 77.9358 225.181i 0.369364 1.06721i −0.595250 0.803540i \(-0.702947\pi\)
0.964614 0.263666i \(-0.0849318\pi\)
\(212\) 79.4454 3.78445i 0.374742 0.0178512i
\(213\) 5.01851 3.57366i 0.0235611 0.0167778i
\(214\) −11.3034 118.375i −0.0528199 0.553155i
\(215\) −62.5907 + 18.3783i −0.291120 + 0.0854804i
\(216\) −5.05579 + 35.1638i −0.0234064 + 0.162795i
\(217\) 167.504 + 86.3544i 0.771908 + 0.397946i
\(218\) 54.9540 + 226.523i 0.252082 + 1.03910i
\(219\) 46.7303 49.0093i 0.213380 0.223787i
\(220\) 9.74086 3.89965i 0.0442766 0.0177257i
\(221\) 516.538 178.776i 2.33728 0.808939i
\(222\) −190.163 + 98.0358i −0.856590 + 0.441603i
\(223\) −163.751 188.978i −0.734309 0.847437i 0.258641 0.965973i \(-0.416725\pi\)
−0.992950 + 0.118536i \(0.962180\pi\)
\(224\) −162.657 31.3496i −0.726149 0.139954i
\(225\) 25.4484 + 7.47232i 0.113104 + 0.0332103i
\(226\) 50.4098 110.382i 0.223052 0.488416i
\(227\) −12.2796 + 11.7085i −0.0540950 + 0.0515794i −0.716644 0.697439i \(-0.754323\pi\)
0.662549 + 0.749018i \(0.269474\pi\)
\(228\) −22.1142 + 34.4104i −0.0969922 + 0.150923i
\(229\) −250.745 178.555i −1.09496 0.779715i −0.117970 0.993017i \(-0.537639\pi\)
−0.976986 + 0.213303i \(0.931578\pi\)
\(230\) −31.8468 + 55.1603i −0.138464 + 0.239827i
\(231\) −49.1437 + 28.3731i −0.212743 + 0.122827i
\(232\) 9.56474 100.167i 0.0412273 0.431752i
\(233\) 0.749818 + 3.89042i 0.00321810 + 0.0166971i 0.983502 0.180896i \(-0.0578997\pi\)
−0.980284 + 0.197593i \(0.936688\pi\)
\(234\) −114.726 90.2213i −0.490281 0.385561i
\(235\) −143.893 + 182.974i −0.612309 + 0.778614i
\(236\) 96.7550 18.6480i 0.409979 0.0790169i
\(237\) −151.443 14.4611i −0.639000 0.0610171i
\(238\) −317.787 550.424i −1.33524 2.31270i
\(239\) −221.527 127.899i −0.926892 0.535141i −0.0410647 0.999156i \(-0.513075\pi\)
−0.885827 + 0.464015i \(0.846408\pi\)
\(240\) −76.0337 + 106.774i −0.316807 + 0.444893i
\(241\) 276.474 + 177.679i 1.14719 + 0.737257i 0.969078 0.246753i \(-0.0793637\pi\)
0.178115 + 0.984010i \(0.443000\pi\)
\(242\) 172.741 + 181.166i 0.713807 + 0.748619i
\(243\) 14.1798 + 6.47568i 0.0583529 + 0.0266489i
\(244\) 4.50611 15.3464i 0.0184677 0.0628951i
\(245\) −63.4334 + 329.124i −0.258912 + 1.34336i
\(246\) −21.2252 + 18.3917i −0.0862812 + 0.0747631i
\(247\) 259.017 + 502.423i 1.04865 + 2.03410i
\(248\) −36.6256 105.823i −0.147684 0.426705i
\(249\) 48.9128 + 122.178i 0.196437 + 0.490676i
\(250\) 218.305 + 208.154i 0.873221 + 0.832615i
\(251\) −303.365 + 73.5955i −1.20862 + 0.293209i −0.788945 0.614463i \(-0.789373\pi\)
−0.419679 + 0.907672i \(0.637857\pi\)
\(252\) −14.4985 + 28.1231i −0.0575336 + 0.111600i
\(253\) 20.1406 + 2.89578i 0.0796070 + 0.0114458i
\(254\) −86.0835 293.173i −0.338911 1.15423i
\(255\) −172.669 + 16.4879i −0.677135 + 0.0646586i
\(256\) 97.1371 + 136.410i 0.379442 + 0.532851i
\(257\) −5.19652 109.088i −0.0202199 0.424468i −0.986170 0.165739i \(-0.946999\pi\)
0.965950 0.258729i \(-0.0833038\pi\)
\(258\) 58.8962 + 20.3842i 0.228280 + 0.0790085i
\(259\) 634.424 91.2164i 2.44951 0.352187i
\(260\) −33.5853 73.5416i −0.129174 0.282852i
\(261\) −40.9900 16.4099i −0.157050 0.0628733i
\(262\) 336.762 + 16.0419i 1.28535 + 0.0612288i
\(263\) 387.485 249.022i 1.47333 0.946850i 0.475587 0.879669i \(-0.342236\pi\)
0.997741 0.0671811i \(-0.0214005\pi\)
\(264\) 32.7689 + 7.94965i 0.124125 + 0.0301123i
\(265\) −228.408 + 263.597i −0.861918 + 0.994706i
\(266\) 516.650 406.298i 1.94229 1.52744i
\(267\) 63.9249i 0.239419i
\(268\) −13.5525 + 59.9020i −0.0505692 + 0.223515i
\(269\) 217.786 0.809612 0.404806 0.914403i \(-0.367339\pi\)
0.404806 + 0.914403i \(0.367339\pi\)
\(270\) 28.6303 + 36.4063i 0.106038 + 0.134838i
\(271\) −371.736 322.111i −1.37172 1.18860i −0.960904 0.276882i \(-0.910699\pi\)
−0.410815 0.911719i \(-0.634756\pi\)
\(272\) −110.574 + 455.791i −0.406521 + 1.67570i
\(273\) 236.394 + 367.836i 0.865912 + 1.34738i
\(274\) −23.5470 + 494.312i −0.0859378 + 1.80406i
\(275\) 9.35639 23.3711i 0.0340232 0.0849859i
\(276\) 10.3201 4.71305i 0.0373918 0.0170763i
\(277\) 54.9552 + 382.222i 0.198394 + 1.37986i 0.808945 + 0.587885i \(0.200039\pi\)
−0.610551 + 0.791977i \(0.709052\pi\)
\(278\) 59.9504 173.215i 0.215649 0.623077i
\(279\) −49.0817 + 2.33805i −0.175920 + 0.00838010i
\(280\) 257.579 183.421i 0.919926 0.655076i
\(281\) 19.9846 + 209.288i 0.0711194 + 0.744796i 0.958752 + 0.284244i \(0.0917426\pi\)
−0.887633 + 0.460552i \(0.847651\pi\)
\(282\) 213.387 62.6560i 0.756690 0.222184i
\(283\) 17.1004 118.936i 0.0604256 0.420269i −0.937046 0.349205i \(-0.886452\pi\)
0.997472 0.0710636i \(-0.0226393\pi\)
\(284\) −2.89808 1.49406i −0.0102045 0.00526079i
\(285\) −42.2895 174.320i −0.148384 0.611648i
\(286\) −95.5980 + 100.260i −0.334259 + 0.350560i
\(287\) 78.1110 31.2709i 0.272164 0.108958i
\(288\) 40.8163 14.1266i 0.141723 0.0490509i
\(289\) −294.767 + 151.963i −1.01996 + 0.525824i
\(290\) −85.9071 99.1420i −0.296231 0.341869i
\(291\) 192.029 + 37.0105i 0.659893 + 0.127184i
\(292\) −34.3865 10.0968i −0.117762 0.0345780i
\(293\) −220.267 + 482.318i −0.751765 + 1.64613i 0.0114035 + 0.999935i \(0.496370\pi\)
−0.763168 + 0.646200i \(0.776357\pi\)
\(294\) 231.764 220.986i 0.788312 0.751654i
\(295\) −233.617 + 363.515i −0.791921 + 1.23225i
\(296\) −310.240 220.921i −1.04811 0.746354i
\(297\) 7.39800 12.8137i 0.0249091 0.0431438i
\(298\) 52.3950 30.2503i 0.175822 0.101511i
\(299\) 14.9034 156.075i 0.0498441 0.521991i
\(300\) −2.65646 13.7830i −0.00885487 0.0459434i
\(301\) −146.766 115.418i −0.487595 0.383449i
\(302\) −23.9787 + 30.4914i −0.0793998 + 0.100965i
\(303\) −143.418 + 27.6415i −0.473326 + 0.0912261i
\(304\) −482.826 46.1043i −1.58824 0.151659i
\(305\) 35.0701 + 60.7431i 0.114984 + 0.199158i
\(306\) 143.517 + 82.8598i 0.469011 + 0.270784i
\(307\) 124.089 174.258i 0.404198 0.567617i −0.561437 0.827520i \(-0.689751\pi\)
0.965635 + 0.259903i \(0.0836905\pi\)
\(308\) 25.2644 + 16.2365i 0.0820274 + 0.0527158i
\(309\) −131.830 138.259i −0.426633 0.447440i
\(310\) −132.800 60.6479i −0.428388 0.195638i
\(311\) 38.5960 131.446i 0.124103 0.422655i −0.873880 0.486142i \(-0.838404\pi\)
0.997983 + 0.0634865i \(0.0202220\pi\)
\(312\) 49.1710 255.123i 0.157599 0.817703i
\(313\) −67.3945 + 58.3976i −0.215318 + 0.186574i −0.755841 0.654755i \(-0.772772\pi\)
0.540523 + 0.841329i \(0.318226\pi\)
\(314\) 141.309 + 274.102i 0.450030 + 0.872937i
\(315\) −45.3818 131.122i −0.144069 0.416260i
\(316\) 29.9237 + 74.7457i 0.0946952 + 0.236537i
\(317\) 63.2246 + 60.2845i 0.199447 + 0.190172i 0.783220 0.621745i \(-0.213576\pi\)
−0.583773 + 0.811917i \(0.698424\pi\)
\(318\) 323.841 78.5630i 1.01837 0.247054i
\(319\) −19.2034 + 37.2495i −0.0601989 + 0.116770i
\(320\) −172.612 24.8179i −0.539413 0.0775559i
\(321\) −26.1694 89.1248i −0.0815247 0.277647i
\(322\) −181.481 + 17.3293i −0.563605 + 0.0538177i
\(323\) −372.292 522.811i −1.15261 1.61861i
\(324\) −0.392546 8.24056i −0.00121156 0.0254338i
\(325\) −183.308 63.4436i −0.564026 0.195211i
\(326\) −620.907 + 89.2729i −1.90462 + 0.273843i
\(327\) 75.6378 + 165.624i 0.231308 + 0.506494i
\(328\) −46.4146 18.5816i −0.141508 0.0566513i
\(329\) −665.506 31.7019i −2.02281 0.0963585i
\(330\) 36.9822 23.7670i 0.112067 0.0720213i
\(331\) 576.695 + 139.905i 1.74228 + 0.422672i 0.975635 0.219399i \(-0.0704098\pi\)
0.766644 + 0.642072i \(0.221925\pi\)
\(332\) 45.6109 52.6378i 0.137382 0.158548i
\(333\) −131.366 + 103.307i −0.394492 + 0.310232i
\(334\) 523.605i 1.56768i
\(335\) −149.105 224.290i −0.445088 0.669522i
\(336\) −375.181 −1.11661
\(337\) 112.781 + 143.413i 0.334662 + 0.425558i 0.924038 0.382302i \(-0.124868\pi\)
−0.589375 + 0.807859i \(0.700626\pi\)
\(338\) 523.508 + 453.622i 1.54884 + 1.34208i
\(339\) 22.3474 92.1172i 0.0659215 0.271732i
\(340\) 49.6297 + 77.2252i 0.145970 + 0.227133i
\(341\) −2.21919 + 46.5865i −0.00650789 + 0.136617i
\(342\) −63.6943 + 159.101i −0.186241 + 0.465206i
\(343\) −359.838 + 164.332i −1.04909 + 0.479103i
\(344\) 15.7894 + 109.818i 0.0458995 + 0.319238i
\(345\) −16.2727 + 47.0169i −0.0471672 + 0.136281i
\(346\) −623.675 + 29.7093i −1.80253 + 0.0858651i
\(347\) 315.141 224.411i 0.908186 0.646716i −0.0274727 0.999623i \(-0.508746\pi\)
0.935659 + 0.352906i \(0.114807\pi\)
\(348\) 2.22118 + 23.2612i 0.00638270 + 0.0668426i
\(349\) 324.140 95.1762i 0.928769 0.272711i 0.217848 0.975983i \(-0.430096\pi\)
0.710921 + 0.703271i \(0.248278\pi\)
\(350\) −32.0994 + 223.256i −0.0917125 + 0.637874i
\(351\) −101.334 52.2414i −0.288701 0.148836i
\(352\) −9.66519 39.8404i −0.0274579 0.113183i
\(353\) 151.607 159.001i 0.429483 0.450429i −0.473059 0.881031i \(-0.656850\pi\)
0.902542 + 0.430602i \(0.141699\pi\)
\(354\) 383.268 153.437i 1.08268 0.433439i
\(355\) 13.5121 4.67658i 0.0380623 0.0131735i
\(356\) −30.0703 + 15.5023i −0.0844671 + 0.0435458i
\(357\) −325.118 375.206i −0.910695 1.05100i
\(358\) −15.8232 3.04967i −0.0441989 0.00851864i
\(359\) −151.535 44.4947i −0.422103 0.123941i 0.0637809 0.997964i \(-0.479684\pi\)
−0.485884 + 0.874023i \(0.661502\pi\)
\(360\) −34.2506 + 74.9984i −0.0951407 + 0.208329i
\(361\) 219.096 208.907i 0.606913 0.578690i
\(362\) 201.448 313.459i 0.556487 0.865910i
\(363\) 159.278 + 113.421i 0.438781 + 0.312455i
\(364\) 115.703 200.403i 0.317864 0.550557i
\(365\) 136.106 78.5810i 0.372894 0.215290i
\(366\) 6.36991 66.7087i 0.0174041 0.182264i
\(367\) 105.825 + 549.070i 0.288350 + 1.49610i 0.780259 + 0.625456i \(0.215087\pi\)
−0.491909 + 0.870647i \(0.663701\pi\)
\(368\) 105.748 + 83.1609i 0.287358 + 0.225981i
\(369\) −13.5612 + 17.2445i −0.0367513 + 0.0467331i
\(370\) −487.564 + 93.9704i −1.31774 + 0.253974i
\(371\) −993.796 94.8961i −2.67870 0.255785i
\(372\) 13.0025 + 22.5210i 0.0349530 + 0.0605404i
\(373\) 82.7574 + 47.7800i 0.221870 + 0.128096i 0.606816 0.794843i \(-0.292447\pi\)
−0.384946 + 0.922939i \(0.625780\pi\)
\(374\) 91.2400 128.129i 0.243957 0.342590i
\(375\) 198.216 + 127.385i 0.528575 + 0.339695i
\(376\) 273.203 + 286.527i 0.726604 + 0.762040i
\(377\) 293.735 + 134.144i 0.779137 + 0.355820i
\(378\) −37.3480 + 127.196i −0.0988043 + 0.336497i
\(379\) −40.7200 + 211.275i −0.107441 + 0.557454i 0.887818 + 0.460194i \(0.152220\pi\)
−0.995259 + 0.0972605i \(0.968992\pi\)
\(380\) −71.7445 + 62.1669i −0.188801 + 0.163597i
\(381\) −109.368 212.143i −0.287054 0.556807i
\(382\) −18.3383 52.9849i −0.0480059 0.138704i
\(383\) 215.289 + 537.765i 0.562111 + 1.40409i 0.888512 + 0.458854i \(0.151740\pi\)
−0.326401 + 0.945232i \(0.605836\pi\)
\(384\) 192.772 + 183.808i 0.502010 + 0.478666i
\(385\) −127.987 + 31.0494i −0.332434 + 0.0806477i
\(386\) −103.563 + 200.885i −0.268299 + 0.520428i
\(387\) 48.1879 + 6.92837i 0.124516 + 0.0179028i
\(388\) −29.1588 99.3057i −0.0751515 0.255943i
\(389\) 482.323 46.0563i 1.23990 0.118397i 0.545580 0.838059i \(-0.316309\pi\)
0.694325 + 0.719662i \(0.255703\pi\)
\(390\) −196.484 275.923i −0.503805 0.707495i
\(391\) 8.47056 + 177.819i 0.0216638 + 0.454780i
\(392\) 538.716 + 186.451i 1.37428 + 0.475641i
\(393\) 260.674 37.4793i 0.663292 0.0953671i
\(394\) 94.0611 + 205.965i 0.238734 + 0.522754i
\(395\) −327.784 131.225i −0.829834 0.332215i
\(396\) −7.82164 0.372591i −0.0197516 0.000940886i
\(397\) −14.8530 + 9.54543i −0.0374130 + 0.0240439i −0.559214 0.829024i \(-0.688897\pi\)
0.521801 + 0.853067i \(0.325260\pi\)
\(398\) −560.537 135.985i −1.40838 0.341671i
\(399\) 336.217 388.015i 0.842648 0.972468i
\(400\) 130.833 102.888i 0.327081 0.257220i
\(401\) 183.598i 0.457851i 0.973444 + 0.228925i \(0.0735212\pi\)
−0.973444 + 0.228925i \(0.926479\pi\)
\(402\) −8.25841 + 257.186i −0.0205433 + 0.639765i
\(403\) 359.371 0.891739
\(404\) 47.7825 + 60.7604i 0.118274 + 0.150397i
\(405\) 27.3419 + 23.6919i 0.0675109 + 0.0584985i
\(406\) 88.5225 364.895i 0.218036 0.898756i
\(407\) 85.7590 + 133.444i 0.210710 + 0.327871i
\(408\) −14.0371 + 294.675i −0.0344046 + 0.722242i
\(409\) −47.7053 + 119.162i −0.116639 + 0.291350i −0.975187 0.221383i \(-0.928943\pi\)
0.858548 + 0.512733i \(0.171367\pi\)
\(410\) −59.2907 + 27.0772i −0.144612 + 0.0660419i
\(411\) 55.0135 + 382.627i 0.133853 + 0.930966i
\(412\) −33.0673 + 95.5416i −0.0802604 + 0.231897i
\(413\) −1235.40 + 58.8495i −2.99129 + 0.142493i
\(414\) 38.7205 27.5727i 0.0935277 0.0666007i
\(415\) 29.0336 + 304.054i 0.0699605 + 0.732660i
\(416\) −303.092 + 88.9958i −0.728586 + 0.213932i
\(417\) 20.3765 141.722i 0.0488646 0.339861i
\(418\) 144.582 + 74.5372i 0.345890 + 0.178319i
\(419\) −100.199 413.026i −0.239138 0.985742i −0.957123 0.289683i \(-0.906450\pi\)
0.717984 0.696059i \(-0.245065\pi\)
\(420\) −50.6744 + 53.1457i −0.120653 + 0.126537i
\(421\) −81.6434 + 32.6851i −0.193927 + 0.0776368i −0.466593 0.884472i \(-0.654519\pi\)
0.272666 + 0.962109i \(0.412095\pi\)
\(422\) −499.305 + 172.811i −1.18319 + 0.409505i
\(423\) 154.409 79.6034i 0.365033 0.188188i
\(424\) 388.472 + 448.321i 0.916209 + 1.05736i
\(425\) 216.269 + 41.6825i 0.508869 + 0.0980764i
\(426\) −13.1075 3.84871i −0.0307688 0.00903453i
\(427\) −83.3977 + 182.616i −0.195311 + 0.427671i
\(428\) −35.5780 + 33.9236i −0.0831262 + 0.0792607i
\(429\) −58.5039 + 91.0338i −0.136373 + 0.212200i
\(430\) 117.824 + 83.9022i 0.274010 + 0.195122i
\(431\) 47.4865 82.2490i 0.110177 0.190833i −0.805664 0.592372i \(-0.798191\pi\)
0.915842 + 0.401539i \(0.131525\pi\)
\(432\) 84.7186 48.9123i 0.196108 0.113223i
\(433\) 39.5884 414.589i 0.0914282 0.957479i −0.827082 0.562082i \(-0.810001\pi\)
0.918510 0.395398i \(-0.129393\pi\)
\(434\) −79.0820 410.316i −0.182217 0.945430i
\(435\) −80.5485 63.3440i −0.185169 0.145619i
\(436\) 59.5666 75.7450i 0.136621 0.173727i
\(437\) −180.771 + 34.8407i −0.413663 + 0.0797270i
\(438\) −149.473 14.2730i −0.341263 0.0325867i
\(439\) 24.8929 + 43.1158i 0.0567037 + 0.0982136i 0.892984 0.450089i \(-0.148608\pi\)
−0.836280 + 0.548302i \(0.815274\pi\)
\(440\) 67.7732 + 39.1289i 0.154030 + 0.0889293i
\(441\) 145.098 203.762i 0.329021 0.462046i
\(442\) −1019.61 655.261i −2.30680 1.48249i
\(443\) −248.173 260.277i −0.560211 0.587532i 0.381327 0.924440i \(-0.375467\pi\)
−0.941537 + 0.336908i \(0.890619\pi\)
\(444\) 80.4529 + 36.7416i 0.181200 + 0.0827514i
\(445\) 41.7979 142.351i 0.0939280 0.319889i
\(446\) −104.932 + 544.439i −0.235274 + 1.22072i
\(447\) 35.7160 30.9481i 0.0799015 0.0692351i
\(448\) −228.718 443.651i −0.510531 0.990292i
\(449\) −25.1024 72.5287i −0.0559074 0.161534i 0.913589 0.406638i \(-0.133299\pi\)
−0.969497 + 0.245104i \(0.921178\pi\)
\(450\) −21.8576 54.5976i −0.0485724 0.121328i
\(451\) 15.0702 + 14.3694i 0.0334151 + 0.0318612i
\(452\) −48.7513 + 11.8269i −0.107857 + 0.0261658i
\(453\) −13.8846 + 26.9323i −0.0306502 + 0.0594532i
\(454\) 37.2388 + 5.35413i 0.0820238 + 0.0117932i
\(455\) 285.899 + 973.681i 0.628349 + 2.13996i
\(456\) −303.698 + 28.9996i −0.666005 + 0.0635957i
\(457\) 28.5520 + 40.0956i 0.0624770 + 0.0877366i 0.844632 0.535347i \(-0.179819\pi\)
−0.782155 + 0.623083i \(0.785880\pi\)
\(458\) 32.4771 + 681.778i 0.0709107 + 1.48860i
\(459\) 122.330 + 42.3387i 0.266513 + 0.0922412i
\(460\) 26.0630 3.74729i 0.0566587 0.00814629i
\(461\) −75.9439 166.294i −0.164737 0.360725i 0.809203 0.587529i \(-0.199899\pi\)
−0.973940 + 0.226805i \(0.927172\pi\)
\(462\) 116.813 + 46.7650i 0.252842 + 0.101223i
\(463\) 588.001 + 28.0099i 1.26998 + 0.0604966i 0.671720 0.740805i \(-0.265556\pi\)
0.598260 + 0.801302i \(0.295859\pi\)
\(464\) −233.093 + 149.800i −0.502357 + 0.322845i
\(465\) −110.826 26.8861i −0.238335 0.0578195i
\(466\) 5.75309 6.63942i 0.0123457 0.0142477i
\(467\) 443.331 348.640i 0.949317 0.746551i −0.0180742 0.999837i \(-0.505754\pi\)
0.967392 + 0.253285i \(0.0815111\pi\)
\(468\) 60.3366i 0.128924i
\(469\) 275.382 720.018i 0.587168 1.53522i
\(470\) 516.147 1.09818
\(471\) 148.908 + 189.351i 0.316152 + 0.402020i
\(472\) 555.420 + 481.274i 1.17674 + 1.01965i
\(473\) 10.8941 44.9060i 0.0230319 0.0949386i
\(474\) 182.374 + 283.780i 0.384756 + 0.598693i
\(475\) −10.8376 + 227.510i −0.0228161 + 0.478969i
\(476\) −97.6532 + 243.926i −0.205154 + 0.512450i
\(477\) 236.778 108.133i 0.496390 0.226694i
\(478\) 80.7201 + 561.420i 0.168870 + 1.17452i
\(479\) 119.686 345.809i 0.249866 0.721939i −0.748410 0.663236i \(-0.769182\pi\)
0.998276 0.0587026i \(-0.0186964\pi\)
\(480\) 100.128 4.76970i 0.208600 0.00993687i
\(481\) 995.619 708.977i 2.06989 1.47396i
\(482\) −69.2694 725.422i −0.143712 1.50503i
\(483\) −136.637 + 40.1203i −0.282893 + 0.0830648i
\(484\) 14.7272 102.430i 0.0304280 0.211632i
\(485\) 403.418 + 207.977i 0.831790 + 0.428818i
\(486\) −8.14904 33.5908i −0.0167676 0.0691168i
\(487\) 24.1270 25.3037i 0.0495422 0.0519583i −0.698497 0.715613i \(-0.746147\pi\)
0.748039 + 0.663655i \(0.230996\pi\)
\(488\) 110.748 44.3367i 0.226942 0.0908539i
\(489\) −463.050 + 160.263i −0.946932 + 0.327736i
\(490\) 660.595 340.560i 1.34815 0.695021i
\(491\) 476.537 + 549.953i 0.970544 + 1.12007i 0.992736 + 0.120314i \(0.0383900\pi\)
−0.0221921 + 0.999754i \(0.507065\pi\)
\(492\) 11.4005 + 2.19727i 0.0231718 + 0.00446600i
\(493\) −351.800 103.298i −0.713590 0.209529i
\(494\) 520.673 1140.12i 1.05399 2.30793i
\(495\) 24.8525 23.6969i 0.0502072 0.0478724i
\(496\) −166.711 + 259.408i −0.336112 + 0.523000i
\(497\) 33.3371 + 23.7393i 0.0670767 + 0.0477651i
\(498\) 145.908 252.720i 0.292988 0.507469i
\(499\) 64.7685 37.3941i 0.129797 0.0749381i −0.433696 0.901059i \(-0.642791\pi\)
0.563492 + 0.826121i \(0.309457\pi\)
\(500\) 11.8532 124.133i 0.0237065 0.248265i
\(501\) −77.4048 401.614i −0.154501 0.801626i
\(502\) 544.089 + 427.876i 1.08384 + 0.852343i
\(503\) −144.457 + 183.692i −0.287190 + 0.365192i −0.908146 0.418653i \(-0.862502\pi\)
0.620956 + 0.783846i \(0.286745\pi\)
\(504\) −231.725 + 44.6612i −0.459771 + 0.0886136i
\(505\) −337.442 32.2218i −0.668203 0.0638056i
\(506\) −22.5590 39.0733i −0.0445830 0.0772200i
\(507\) 468.599 + 270.546i 0.924258 + 0.533621i
\(508\) −73.2698 + 102.893i −0.144232 + 0.202545i
\(509\) −506.498 325.506i −0.995084 0.639502i −0.0615927 0.998101i \(-0.519618\pi\)
−0.933491 + 0.358600i \(0.883254\pi\)
\(510\) 265.412 + 278.356i 0.520415 + 0.545796i
\(511\) 409.184 + 186.868i 0.800752 + 0.365691i
\(512\) −68.6878 + 233.929i −0.134156 + 0.456893i
\(513\) −25.3347 + 131.449i −0.0493854 + 0.256236i
\(514\) −183.013 + 158.582i −0.356057 + 0.308525i
\(515\) −203.162 394.079i −0.394489 0.765202i
\(516\) −8.42684 24.3478i −0.0163311 0.0471856i
\(517\) −61.2831 153.078i −0.118536 0.296089i
\(518\) −1028.58 980.746i −1.98567 1.89333i
\(519\) −473.978 + 114.986i −0.913253 + 0.221553i
\(520\) 276.311 535.969i 0.531367 1.03071i
\(521\) 39.7342 + 5.71291i 0.0762652 + 0.0109653i 0.180342 0.983604i \(-0.442280\pi\)
−0.104077 + 0.994569i \(0.533189\pi\)
\(522\) 27.5823 + 93.9366i 0.0528396 + 0.179955i
\(523\) −659.355 + 62.9608i −1.26072 + 0.120384i −0.703929 0.710271i \(-0.748573\pi\)
−0.556788 + 0.830654i \(0.687967\pi\)
\(524\) −80.8458 113.532i −0.154286 0.216664i
\(525\) 8.38328 + 175.987i 0.0159681 + 0.335213i
\(526\) −965.151 334.042i −1.83489 0.635061i
\(527\) −403.891 + 58.0708i −0.766397 + 0.110191i
\(528\) −38.5720 84.4608i −0.0730529 0.159964i
\(529\) −443.701 177.631i −0.838755 0.335787i
\(530\) 772.513 + 36.7993i 1.45757 + 0.0694327i
\(531\) 271.291 174.348i 0.510905 0.328339i
\(532\) −264.057 64.0596i −0.496348 0.120413i
\(533\) 105.070 121.257i 0.197130 0.227500i
\(534\) −111.418 + 87.6204i −0.208649 + 0.164083i
\(535\) 215.578i 0.402950i
\(536\) −413.675 + 196.725i −0.771783 + 0.367023i
\(537\) −12.5875 −0.0234404
\(538\) −298.514 379.591i −0.554858 0.705560i
\(539\) −179.437 155.483i −0.332906 0.288465i
\(540\) 4.51404 18.6071i 0.00835932 0.0344576i
\(541\) 188.780 + 293.748i 0.348947 + 0.542972i 0.970716 0.240229i \(-0.0772224\pi\)
−0.621770 + 0.783200i \(0.713586\pi\)
\(542\) −51.8959 + 1089.43i −0.0957489 + 2.01002i
\(543\) 108.175 270.209i 0.199218 0.497623i
\(544\) 326.259 148.998i 0.599742 0.273893i
\(545\) 60.1387 + 418.274i 0.110346 + 0.767476i
\(546\) 317.103 916.209i 0.580775 1.67804i
\(547\) 663.315 31.5976i 1.21264 0.0577652i 0.568508 0.822678i \(-0.307521\pi\)
0.644134 + 0.764913i \(0.277218\pi\)
\(548\) 166.647 118.668i 0.304099 0.216548i
\(549\) −4.97576 52.1085i −0.00906331 0.0949152i
\(550\) −53.5595 + 15.7265i −0.0973809 + 0.0285936i
\(551\) 53.9613 375.309i 0.0979334 0.681142i
\(552\) 75.2128 + 38.7749i 0.136255 + 0.0702443i
\(553\) −238.255 982.100i −0.430841 1.77595i
\(554\) 590.870 619.687i 1.06655 1.11857i
\(555\) −360.079 + 144.154i −0.648791 + 0.259737i
\(556\) −71.6074 + 24.7836i −0.128790 + 0.0445748i
\(557\) 289.360 149.176i 0.519498 0.267820i −0.178474 0.983945i \(-0.557116\pi\)
0.697972 + 0.716125i \(0.254086\pi\)
\(558\) 71.3502 + 82.3425i 0.127868 + 0.147567i
\(559\) −349.617 67.3831i −0.625433 0.120542i
\(560\) −835.470 245.316i −1.49191 0.438064i
\(561\) 51.0414 111.765i 0.0909829 0.199225i
\(562\) 337.387 321.698i 0.600333 0.572417i
\(563\) 54.9198 85.4569i 0.0975485 0.151788i −0.789049 0.614330i \(-0.789426\pi\)
0.886597 + 0.462542i \(0.153063\pi\)
\(564\) −74.8909 53.3295i −0.132785 0.0945559i
\(565\) 109.996 190.518i 0.194683 0.337201i
\(566\) −230.740 + 133.218i −0.407667 + 0.235367i
\(567\) −9.84320 + 103.083i −0.0173601 + 0.181804i
\(568\) −4.60233 23.8792i −0.00810270 0.0420408i
\(569\) 601.443 + 472.980i 1.05702 + 0.831248i 0.986086 0.166234i \(-0.0531606\pi\)
0.0709309 + 0.997481i \(0.477403\pi\)
\(570\) −245.867 + 312.645i −0.431345 + 0.548500i
\(571\) 142.465 27.4579i 0.249501 0.0480874i −0.0629671 0.998016i \(-0.520056\pi\)
0.312468 + 0.949928i \(0.398844\pi\)
\(572\) 57.0099 + 5.44379i 0.0996677 + 0.00951711i
\(573\) −21.8986 37.9294i −0.0382174 0.0661945i
\(574\) −161.569 93.2818i −0.281479 0.162512i
\(575\) 36.6455 51.4614i 0.0637313 0.0894981i
\(576\) 109.485 + 70.3617i 0.190078 + 0.122156i
\(577\) 179.812 + 188.581i 0.311632 + 0.326830i 0.860860 0.508843i \(-0.169927\pi\)
−0.549228 + 0.835673i \(0.685078\pi\)
\(578\) 668.896 + 305.475i 1.15726 + 0.528503i
\(579\) −49.7381 + 169.392i −0.0859034 + 0.292560i
\(580\) −10.2634 + 53.2515i −0.0176955 + 0.0918129i
\(581\) −660.701 + 572.501i −1.13718 + 0.985371i
\(582\) −198.702 385.428i −0.341412 0.662247i
\(583\) −80.8081 233.480i −0.138607 0.400480i
\(584\) −99.3447 248.151i −0.170111 0.424916i
\(585\) −191.497 182.592i −0.327345 0.312123i
\(586\) 1142.57 277.185i 1.94978 0.473013i
\(587\) 451.717 876.208i 0.769535 1.49269i −0.0979317 0.995193i \(-0.531223\pi\)
0.867466 0.497496i \(-0.165747\pi\)
\(588\) −131.037 18.8403i −0.222852 0.0320413i
\(589\) −118.884 404.881i −0.201840 0.687404i
\(590\) 953.804 91.0772i 1.61662 0.154368i
\(591\) 102.594 + 144.074i 0.173595 + 0.243780i
\(592\) 49.9019 + 1047.57i 0.0842938 + 1.76954i
\(593\) 403.496 + 139.651i 0.680431 + 0.235499i 0.645352 0.763885i \(-0.276711\pi\)
0.0350787 + 0.999385i \(0.488832\pi\)
\(594\) −32.4740 + 4.66906i −0.0546701 + 0.00786037i
\(595\) −478.654 1048.11i −0.804461 1.76152i
\(596\) −23.2194 9.29564i −0.0389587 0.0155967i
\(597\) −450.045 21.4383i −0.753844 0.0359100i
\(598\) −292.461 + 187.953i −0.489064 + 0.314303i
\(599\) 322.915 + 78.3383i 0.539090 + 0.130782i 0.496054 0.868292i \(-0.334782\pi\)
0.0430360 + 0.999074i \(0.486297\pi\)
\(600\) 68.5589 79.1212i 0.114265 0.131869i
\(601\) −321.982 + 253.209i −0.535744 + 0.421313i −0.849030 0.528345i \(-0.822813\pi\)
0.313286 + 0.949659i \(0.398570\pi\)
\(602\) 414.008i 0.687721i
\(603\) 31.6856 + 198.487i 0.0525465 + 0.329166i
\(604\) 16.0361 0.0265498
\(605\) 280.525 + 356.716i 0.463677 + 0.589613i
\(606\) 244.757 + 212.083i 0.403890 + 0.349973i
\(607\) 131.381 541.560i 0.216443 0.892192i −0.755153 0.655548i \(-0.772438\pi\)
0.971597 0.236643i \(-0.0760473\pi\)
\(608\) 200.532 + 312.034i 0.329823 + 0.513214i
\(609\) 13.9557 292.967i 0.0229158 0.481063i
\(610\) 57.8030 144.385i 0.0947589 0.236696i
\(611\) −1155.71 + 527.795i −1.89150 + 0.863821i
\(612\) −9.74980 67.8113i −0.0159310 0.110803i
\(613\) 234.549 677.684i 0.382624 1.10552i −0.575162 0.818039i \(-0.695061\pi\)
0.957786 0.287481i \(-0.0928177\pi\)
\(614\) −473.811 + 22.5704i −0.771679 + 0.0367596i
\(615\) −41.4742 + 29.5337i −0.0674378 + 0.0480222i
\(616\) 21.2918 + 222.978i 0.0345646 + 0.361977i
\(617\) 259.408 76.1691i 0.420434 0.123451i −0.0646704 0.997907i \(-0.520600\pi\)
0.485105 + 0.874456i \(0.338781\pi\)
\(618\) −60.2836 + 419.282i −0.0975464 + 0.678450i
\(619\) −29.0392 14.9708i −0.0469132 0.0241854i 0.434610 0.900619i \(-0.356886\pi\)
−0.481524 + 0.876433i \(0.659916\pi\)
\(620\) 14.2290 + 58.6526i 0.0229499 + 0.0946009i
\(621\) 25.6232 26.8728i 0.0412612 0.0432735i
\(622\) −282.007 + 112.899i −0.453388 + 0.181509i
\(623\) 401.288 138.887i 0.644121 0.222933i
\(624\) −635.918 + 327.839i −1.01910 + 0.525382i
\(625\) 213.364 + 246.235i 0.341382 + 0.393976i
\(626\) 194.161 + 37.4214i 0.310161 + 0.0597786i
\(627\) 121.916 + 35.7977i 0.194443 + 0.0570937i
\(628\) 52.9596 115.965i 0.0843306 0.184658i
\(629\) −1004.40 + 957.690i −1.59682 + 1.52256i
\(630\) −166.336 + 258.825i −0.264026 + 0.410833i
\(631\) 396.911 + 282.639i 0.629019 + 0.447922i 0.849586 0.527449i \(-0.176852\pi\)
−0.220568 + 0.975372i \(0.570791\pi\)
\(632\) −300.252 + 520.053i −0.475083 + 0.822868i
\(633\) −357.429 + 206.362i −0.564659 + 0.326006i
\(634\) 18.4129 192.828i 0.0290424 0.304146i
\(635\) −104.832 543.921i −0.165090 0.856569i
\(636\) −108.286 85.1573i −0.170261 0.133895i
\(637\) −1130.90 + 1438.05i −1.77535 + 2.25754i
\(638\) 91.2460 17.5862i 0.143019 0.0275646i
\(639\) −10.6226 1.01434i −0.0166239 0.00158739i
\(640\) 309.088 + 535.356i 0.482950 + 0.836495i
\(641\) 612.873 + 353.843i 0.956121 + 0.552017i 0.894977 0.446112i \(-0.147192\pi\)
0.0611438 + 0.998129i \(0.480525\pi\)
\(642\) −119.471 + 167.774i −0.186092 + 0.261329i
\(643\) −972.943 625.272i −1.51313 0.972430i −0.992971 0.118360i \(-0.962236\pi\)
−0.520159 0.854069i \(-0.674127\pi\)
\(644\) 52.0082 + 54.5446i 0.0807581 + 0.0846967i
\(645\) 102.777 + 46.9365i 0.159344 + 0.0727698i
\(646\) −400.945 + 1365.49i −0.620658 + 2.11377i
\(647\) 154.302 800.593i 0.238488 1.23739i −0.643251 0.765656i \(-0.722415\pi\)
0.881739 0.471738i \(-0.156373\pi\)
\(648\) 46.5026 40.2947i 0.0717633 0.0621832i
\(649\) −140.259 272.064i −0.216115 0.419204i
\(650\) 140.677 + 406.459i 0.216426 + 0.625322i
\(651\) −121.315 303.029i −0.186351 0.465483i
\(652\) 187.681 + 178.953i 0.287854 + 0.274468i
\(653\) 3.94815 0.957810i 0.00604617 0.00146678i −0.232735 0.972540i \(-0.574767\pi\)
0.238781 + 0.971073i \(0.423252\pi\)
\(654\) 185.000 358.850i 0.282875 0.548700i
\(655\) 604.986 + 86.9839i 0.923643 + 0.132800i
\(656\) 38.7866 + 132.095i 0.0591259 + 0.201364i
\(657\) −116.759 + 11.1491i −0.177715 + 0.0169697i
\(658\) 856.938 + 1203.40i 1.30234 + 1.82888i
\(659\) 54.3780 + 1141.54i 0.0825160 + 1.73222i 0.538839 + 0.842409i \(0.318863\pi\)
−0.456323 + 0.889814i \(0.650834\pi\)
\(660\) −17.1739 5.94396i −0.0260211 0.00900600i
\(661\) −470.438 + 67.6388i −0.711707 + 0.102328i −0.488653 0.872478i \(-0.662512\pi\)
−0.223054 + 0.974806i \(0.571603\pi\)
\(662\) −546.614 1196.92i −0.825701 1.80803i
\(663\) −878.923 351.868i −1.32568 0.530721i
\(664\) 518.893 + 24.7179i 0.781465 + 0.0372258i
\(665\) 1002.41 644.209i 1.50738 0.968735i
\(666\) 360.120 + 87.3641i 0.540721 + 0.131177i
\(667\) −68.8713 + 79.4817i −0.103255 + 0.119163i
\(668\) −170.148 + 133.806i −0.254713 + 0.200308i
\(669\) 433.107i 0.647394i
\(670\) −186.554 + 567.312i −0.278438 + 0.846734i
\(671\) −49.6844 −0.0740454
\(672\) 177.360 + 225.531i 0.263928 + 0.335612i
\(673\) −96.2356 83.3887i −0.142995 0.123906i 0.580426 0.814313i \(-0.302886\pi\)
−0.723421 + 0.690407i \(0.757431\pi\)
\(674\) 95.3761 393.146i 0.141508 0.583302i
\(675\) −24.8364 38.6461i −0.0367946 0.0572535i
\(676\) 13.6257 286.038i 0.0201563 0.423134i
\(677\) 186.661 466.256i 0.275718 0.688709i −0.724282 0.689504i \(-0.757829\pi\)
1.00000 0.000794461i \(0.000252885\pi\)
\(678\) −191.187 + 87.3124i −0.281987 + 0.128779i
\(679\) 184.880 + 1285.87i 0.272283 + 1.89377i
\(680\) −223.934 + 647.016i −0.329315 + 0.951494i
\(681\) 29.3543 1.39832i 0.0431047 0.00205333i
\(682\) 84.2401 59.9871i 0.123519 0.0879576i
\(683\) −1.00601 10.5354i −0.00147293 0.0154252i 0.994706 0.102766i \(-0.0327692\pi\)
−0.996179 + 0.0873406i \(0.972163\pi\)
\(684\) 67.9775 19.9600i 0.0993823 0.0291813i
\(685\) −127.678 + 888.021i −0.186391 + 1.29638i
\(686\) 779.646 + 401.935i 1.13651 + 0.585912i
\(687\) 125.698 + 518.135i 0.182967 + 0.754200i
\(688\) 210.826 221.108i 0.306434 0.321378i
\(689\) −1767.37 + 707.548i −2.56512 + 1.02692i
\(690\) 104.253 36.0823i 0.151091 0.0522932i
\(691\) 197.876 102.012i 0.286362 0.147630i −0.309061 0.951042i \(-0.600015\pi\)
0.595423 + 0.803412i \(0.296984\pi\)
\(692\) 169.033 + 195.074i 0.244267 + 0.281899i
\(693\) 96.5111 + 18.6010i 0.139266 + 0.0268413i
\(694\) −823.094 241.682i −1.18601 0.348245i
\(695\) 138.042 302.269i 0.198621 0.434919i
\(696\) −126.134 + 120.269i −0.181227 + 0.172800i
\(697\) −98.4927 + 153.258i −0.141310 + 0.219882i
\(698\) −610.180 434.507i −0.874183 0.622503i
\(699\) 3.43121 5.94304i 0.00490875 0.00850220i
\(700\) 80.7511 46.6217i 0.115359 0.0666024i
\(701\) −11.2056 + 117.350i −0.0159852 + 0.167404i −0.999939 0.0110174i \(-0.996493\pi\)
0.983954 + 0.178421i \(0.0570991\pi\)
\(702\) 47.8419 + 248.227i 0.0681508 + 0.353600i
\(703\) −1128.12 887.165i −1.60473 1.26197i
\(704\) 76.3605 97.1002i 0.108467 0.137926i
\(705\) 395.894 76.3023i 0.561552 0.108230i
\(706\) −484.937 46.3059i −0.686880 0.0655891i
\(707\) −485.117 840.247i −0.686162 1.18847i
\(708\) −147.803 85.3344i −0.208762 0.120529i
\(709\) −611.790 + 859.138i −0.862891 + 1.21176i 0.113020 + 0.993593i \(0.463948\pi\)
−0.975911 + 0.218168i \(0.929992\pi\)
\(710\) −26.6718 17.1409i −0.0375659 0.0241422i
\(711\) 181.836 + 190.704i 0.255747 + 0.268220i
\(712\) −229.526 104.821i −0.322368 0.147221i
\(713\) −32.9746 + 112.301i −0.0462477 + 0.157505i
\(714\) −208.337 + 1080.95i −0.291788 + 1.51394i
\(715\) −189.802 + 164.465i −0.265458 + 0.230020i
\(716\) 3.05257 + 5.92117i 0.00426337 + 0.00826979i
\(717\) 144.909 + 418.687i 0.202104 + 0.583942i
\(718\) 130.153 + 325.107i 0.181272 + 0.452795i
\(719\) 415.072 + 395.770i 0.577291 + 0.550446i 0.921466 0.388460i \(-0.126993\pi\)
−0.344175 + 0.938906i \(0.611841\pi\)
\(720\) 220.637 53.5259i 0.306440 0.0743416i
\(721\) 581.498 1127.95i 0.806515 1.56442i
\(722\) −664.426 95.5300i −0.920257 0.132313i
\(723\) −160.371 546.172i −0.221813 0.755424i
\(724\) −153.340 + 14.6422i −0.211795 + 0.0202240i
\(725\) 75.4753 + 105.990i 0.104104 + 0.146193i
\(726\) −20.6300 433.078i −0.0284160 0.596526i
\(727\) −353.903 122.487i −0.486800 0.168483i 0.0726331 0.997359i \(-0.476860\pi\)
−0.559433 + 0.828876i \(0.688981\pi\)
\(728\) 1708.36 245.626i 2.34665 0.337398i
\(729\) −11.2162 24.5601i −0.0153857 0.0336901i
\(730\) −323.521 129.518i −0.443180 0.177422i
\(731\) 403.817 + 19.2362i 0.552418 + 0.0263149i
\(732\) −23.3052 + 14.9773i −0.0318377 + 0.0204608i
\(733\) −513.285 124.522i −0.700253 0.169879i −0.130200 0.991488i \(-0.541562\pi\)
−0.570052 + 0.821608i \(0.693077\pi\)
\(734\) 811.954 937.045i 1.10620 1.27663i
\(735\) 456.343 358.872i 0.620875 0.488262i
\(736\) 102.880i 0.139783i
\(737\) 190.402 12.0304i 0.258348 0.0163234i
\(738\) 48.6445 0.0659140
\(739\) −7.19319 9.14689i −0.00973368 0.0123774i 0.781162 0.624329i \(-0.214627\pi\)
−0.790896 + 0.611951i \(0.790385\pi\)
\(740\) 155.132 + 134.423i 0.209638 + 0.181652i
\(741\) 230.822 951.461i 0.311501 1.28402i
\(742\) 1196.77 + 1862.22i 1.61290 + 2.50973i
\(743\) −26.0436 + 546.722i −0.0350519 + 0.735830i 0.911115 + 0.412152i \(0.135223\pi\)
−0.946167 + 0.323679i \(0.895080\pi\)
\(744\) −72.0869 + 180.064i −0.0968910 + 0.242022i
\(745\) 99.7696 45.5632i 0.133919 0.0611587i
\(746\) −30.1551 209.734i −0.0404224 0.281144i
\(747\) 74.5542 215.410i 0.0998049 0.288367i
\(748\) −64.9522 + 3.09406i −0.0868345 + 0.00413644i
\(749\) 502.622 357.916i 0.671058 0.477858i
\(750\) −49.6622 520.086i −0.0662162 0.693448i
\(751\) −1398.28 + 410.573i −1.86189 + 0.546701i −0.862736 + 0.505654i \(0.831251\pi\)
−0.999157 + 0.0410474i \(0.986931\pi\)
\(752\) 155.148 1079.08i 0.206314 1.43495i
\(753\) 480.579 + 247.756i 0.638220 + 0.329025i
\(754\) −168.808 695.835i −0.223883 0.922858i
\(755\) −48.5287 + 50.8954i −0.0642764 + 0.0674111i
\(756\) 50.8771 20.3681i 0.0672978 0.0269420i
\(757\) 58.2249 20.1518i 0.0769153 0.0266206i −0.288339 0.957528i \(-0.593103\pi\)
0.365255 + 0.930908i \(0.380982\pi\)
\(758\) 424.058 218.617i 0.559443 0.288413i
\(759\) −23.0794 26.6350i −0.0304076 0.0350923i
\(760\) −695.250 133.998i −0.914802 0.176314i
\(761\) 1185.51 + 348.098i 1.55783 + 0.457421i 0.943430 0.331571i \(-0.107579\pi\)
0.614403 + 0.788992i \(0.289397\pi\)
\(762\) −219.849 + 481.403i −0.288516 + 0.631763i
\(763\) −875.364 + 834.658i −1.14727 + 1.09392i
\(764\) −12.5314 + 19.4993i −0.0164024 + 0.0255226i
\(765\) 244.725 + 174.268i 0.319902 + 0.227801i
\(766\) 642.210 1112.34i 0.838394 1.45214i
\(767\) −2042.54 + 1179.26i −2.66302 + 1.53750i
\(768\) 27.5711 288.738i 0.0358999 0.375961i
\(769\) 98.9314 + 513.305i 0.128649 + 0.667497i 0.987794 + 0.155764i \(0.0497840\pi\)
−0.859145 + 0.511732i \(0.829004\pi\)
\(770\) 229.547 + 180.518i 0.298113 + 0.234439i
\(771\) −116.931 + 148.690i −0.151662 + 0.192854i
\(772\) 91.7441 17.6822i 0.118839 0.0229044i
\(773\) 1526.33 + 145.746i 1.97455 + 0.188547i 0.999448 0.0332184i \(-0.0105757\pi\)
0.975100 + 0.221765i \(0.0711817\pi\)
\(774\) −53.9742 93.4860i −0.0697341 0.120783i
\(775\) 125.406 + 72.4031i 0.161814 + 0.0934234i
\(776\) 447.768 628.803i 0.577021 0.810313i
\(777\) −933.921 600.195i −1.20196 0.772452i
\(778\) −741.383 777.540i −0.952934 0.999409i
\(779\) −171.372 78.2628i −0.219989 0.100466i
\(780\) −39.4517 + 134.360i −0.0505791 + 0.172256i
\(781\) −1.91683 + 9.94546i −0.00245433 + 0.0127343i
\(782\) 298.320 258.496i 0.381484 0.330558i
\(783\) 35.0428 + 67.9735i 0.0447545 + 0.0868117i
\(784\) −513.423 1483.44i −0.654876 1.89214i
\(785\) 207.785 + 519.021i 0.264694 + 0.661173i
\(786\) −422.624 402.972i −0.537690 0.512687i
\(787\) 475.691 115.401i 0.604435 0.146634i 0.0781488 0.996942i \(-0.475099\pi\)
0.526287 + 0.850307i \(0.323584\pi\)
\(788\) 42.8923 83.1995i 0.0544319 0.105583i
\(789\) −789.670 113.537i −1.00085 0.143900i
\(790\) 220.567 + 751.181i 0.279198 + 0.950862i
\(791\) 626.817 59.8538i 0.792437 0.0756685i
\(792\) −33.8775 47.5743i −0.0427746 0.0600685i
\(793\) 18.2160 + 382.401i 0.0229710 + 0.482220i
\(794\) 36.9959 + 12.8044i 0.0465944 + 0.0161265i
\(795\) 597.971 85.9753i 0.752165 0.108145i
\(796\) 99.0550 + 216.900i 0.124441 + 0.272488i
\(797\) −1411.37 565.027i −1.77085 0.708942i −0.997154 0.0753877i \(-0.975981\pi\)
−0.773698 0.633555i \(-0.781595\pi\)
\(798\) −1137.14 54.1685i −1.42498 0.0678804i
\(799\) 1213.60 779.931i 1.51889 0.976134i
\(800\) −123.697 30.0086i −0.154621 0.0375107i
\(801\) −72.5070 + 83.6775i −0.0905206 + 0.104466i
\(802\) 320.004 251.654i 0.399007 0.313783i
\(803\) 111.327i 0.138639i
\(804\) 85.6842 63.0395i 0.106572 0.0784074i
\(805\) −330.503 −0.410562
\(806\) −492.581 626.368i −0.611143 0.777132i
\(807\) −285.081 247.024i −0.353260 0.306101i
\(808\) −135.921 + 560.275i −0.168219 + 0.693410i
\(809\) 614.924 + 956.841i 0.760104 + 1.18275i 0.978371 + 0.206856i \(0.0663232\pi\)
−0.218267 + 0.975889i \(0.570040\pi\)
\(810\) 3.81705 80.1297i 0.00471241 0.0989256i
\(811\) 29.6739 74.1219i 0.0365893 0.0913957i −0.908948 0.416910i \(-0.863113\pi\)
0.945537 + 0.325514i \(0.105537\pi\)
\(812\) −141.196 + 64.4821i −0.173887 + 0.0794115i
\(813\) 121.246 + 843.284i 0.149134 + 1.03725i
\(814\) 115.039 332.383i 0.141325 0.408332i
\(815\) −1135.93 + 54.1109i −1.39378 + 0.0663938i
\(816\) 661.723 471.211i 0.810935 0.577464i
\(817\) 39.7407 + 416.183i 0.0486422 + 0.509404i
\(818\) 273.083 80.1845i 0.333843 0.0980250i
\(819\) 107.780 749.626i 0.131600 0.915295i
\(820\) 23.9505 + 12.3473i 0.0292079 + 0.0150577i
\(821\) −372.886 1537.06i −0.454185 1.87218i −0.488162 0.872753i \(-0.662332\pi\)
0.0339772 0.999423i \(-0.489183\pi\)
\(822\) 591.497 620.344i 0.719583 0.754677i
\(823\) 756.454 302.838i 0.919142 0.367969i 0.136643 0.990620i \(-0.456369\pi\)
0.782499 + 0.622652i \(0.213945\pi\)
\(824\) −712.595 + 246.632i −0.864800 + 0.299310i
\(825\) −38.7562 + 19.9802i −0.0469773 + 0.0242185i
\(826\) 1795.91 + 2072.59i 2.17423 + 2.50919i
\(827\) −563.519 108.609i −0.681401 0.131329i −0.163207 0.986592i \(-0.552184\pi\)
−0.518195 + 0.855263i \(0.673396\pi\)
\(828\) −18.8548 5.53627i −0.0227715 0.00668632i
\(829\) −141.355 + 309.524i −0.170513 + 0.373370i −0.975525 0.219887i \(-0.929431\pi\)
0.805013 + 0.593257i \(0.202158\pi\)
\(830\) 490.157 467.364i 0.590551 0.563089i
\(831\) 361.600 562.660i 0.435138 0.677088i
\(832\) −775.337 552.115i −0.931895 0.663600i
\(833\) 1038.62 1798.95i 1.24685 2.15960i
\(834\) −274.945 + 158.740i −0.329670 + 0.190335i
\(835\) 90.2312 944.944i 0.108061 1.13167i
\(836\) −12.7263 66.0305i −0.0152229 0.0789838i
\(837\) 66.8997 + 52.6105i 0.0799279 + 0.0628560i
\(838\) −582.546 + 740.767i −0.695162 + 0.883971i
\(839\) −644.524 + 124.222i −0.768205 + 0.148059i −0.558274 0.829657i \(-0.688536\pi\)
−0.209931 + 0.977716i \(0.567324\pi\)
\(840\) −545.216 52.0618i −0.649067 0.0619784i
\(841\) 312.196 + 540.740i 0.371220 + 0.642972i
\(842\) 168.875 + 97.5003i 0.200565 + 0.115796i
\(843\) 211.225 296.625i 0.250564 0.351868i
\(844\) 183.752 + 118.090i 0.217716 + 0.139917i
\(845\) 866.597 + 908.861i 1.02556 + 1.07558i
\(846\) −350.390 160.018i −0.414173 0.189146i
\(847\) −365.943 + 1246.29i −0.432046 + 1.47141i
\(848\) 309.143 1603.99i 0.364556 1.89149i
\(849\) −157.288 + 136.291i −0.185263 + 0.160531i
\(850\) −223.784 434.081i −0.263276 0.510684i
\(851\) 130.197 + 376.178i 0.152992 + 0.442043i
\(852\) 2.09893 + 5.24288i 0.00246353 + 0.00615361i
\(853\) −425.983 406.174i −0.499394 0.476171i 0.398010 0.917381i \(-0.369701\pi\)
−0.897404 + 0.441210i \(0.854549\pi\)
\(854\) 432.602 104.948i 0.506560 0.122890i
\(855\) −142.366 + 276.151i −0.166510 + 0.322984i
\(856\) −362.919 52.1799i −0.423971 0.0609578i
\(857\) −229.939 783.099i −0.268306 0.913768i −0.977885 0.209142i \(-0.932933\pi\)
0.709579 0.704626i \(-0.248885\pi\)
\(858\) 238.858 22.8082i 0.278389 0.0265829i
\(859\) −447.106 627.873i −0.520496 0.730935i 0.467741 0.883866i \(-0.345068\pi\)
−0.988237 + 0.152931i \(0.951129\pi\)
\(860\) −2.84522 59.7286i −0.00330840 0.0694519i
\(861\) −137.716 47.6640i −0.159949 0.0553589i
\(862\) −208.445 + 29.9699i −0.241816 + 0.0347678i
\(863\) 342.803 + 750.634i 0.397223 + 0.869796i 0.997544 + 0.0700375i \(0.0223119\pi\)
−0.600322 + 0.799759i \(0.704961\pi\)
\(864\) −69.4515 27.8042i −0.0803837 0.0321808i
\(865\) −1130.66 53.8600i −1.30712 0.0622659i
\(866\) −776.873 + 499.266i −0.897082 + 0.576520i
\(867\) 558.214 + 135.421i 0.643846 + 0.156195i
\(868\) −113.125 + 130.553i −0.130329 + 0.150407i
\(869\) 196.596 154.605i 0.226232 0.177911i
\(870\) 227.217i 0.261169i
\(871\) −162.401 1461.04i −0.186453 1.67742i
\(872\) 718.708 0.824207
\(873\) −209.386 266.256i −0.239846 0.304989i
\(874\) 308.504 + 267.320i 0.352980 + 0.305859i
\(875\) −369.005 + 1521.06i −0.421720 + 1.73835i
\(876\) 33.5595 + 52.2196i 0.0383099 + 0.0596114i
\(877\) 31.1827 654.606i 0.0355561 0.746415i −0.908749 0.417344i \(-0.862961\pi\)
0.944305 0.329072i \(-0.106736\pi\)
\(878\) 41.0288 102.485i 0.0467299 0.116726i
\(879\) 835.398 381.514i 0.950396 0.434032i
\(880\) −30.6681 213.302i −0.0348502 0.242388i
\(881\) 394.074 1138.60i 0.447303 1.29240i −0.465881 0.884848i \(-0.654262\pi\)
0.913183 0.407549i \(-0.133616\pi\)
\(882\) −554.032 + 26.3918i −0.628154 + 0.0299227i
\(883\) −90.5925 + 64.5106i −0.102596 + 0.0730585i −0.630204 0.776430i \(-0.717029\pi\)
0.527607 + 0.849488i \(0.323089\pi\)
\(884\) 47.6274 + 498.776i 0.0538771 + 0.564227i
\(885\) 718.121 210.859i 0.811436 0.238259i
\(886\) −113.486 + 789.311i −0.128088 + 0.890870i
\(887\) 383.928 + 197.929i 0.432839 + 0.223144i 0.660855 0.750513i \(-0.270194\pi\)
−0.228016 + 0.973657i \(0.573224\pi\)
\(888\) 155.523 + 641.074i 0.175138 + 0.721931i
\(889\) 1094.11 1147.47i 1.23072 1.29074i
\(890\) −305.403 + 122.265i −0.343149 + 0.137376i
\(891\) −24.2179 + 8.38191i −0.0271806 + 0.00940730i
\(892\) 203.733 105.032i 0.228401 0.117749i
\(893\) 976.955 + 1127.47i 1.09401 + 1.26256i
\(894\) −102.896 19.8316i −0.115096 0.0221830i
\(895\) −28.0304 8.23047i −0.0313189 0.00919606i
\(896\) −735.022 + 1609.47i −0.820337 + 1.79629i
\(897\) −196.537 + 187.398i −0.219105 + 0.208916i
\(898\) −92.0071 + 143.166i −0.102458 + 0.159427i
\(899\) −196.362 139.829i −0.218423 0.155538i
\(900\) −12.1561 + 21.0550i −0.0135068 + 0.0233945i
\(901\) 1871.99 1080.79i 2.07768 1.19955i
\(902\) 4.38889 45.9625i 0.00486573 0.0509563i
\(903\) 61.2030 + 317.552i 0.0677775 + 0.351663i
\(904\) −294.108 231.289i −0.325341 0.255851i
\(905\) 417.569 530.982i 0.461402 0.586720i
\(906\) 65.9731 12.7153i 0.0728180 0.0140345i
\(907\) −192.004 18.3342i −0.211691 0.0202141i −0.0113284 0.999936i \(-0.503606\pi\)
−0.200363 + 0.979722i \(0.564212\pi\)
\(908\) −7.77643 13.4692i −0.00856435 0.0148339i
\(909\) 219.086 + 126.489i 0.241018 + 0.139152i
\(910\) 1305.21 1832.91i 1.43430 2.01419i
\(911\) 76.8371 + 49.3802i 0.0843437 + 0.0542044i 0.582133 0.813094i \(-0.302218\pi\)
−0.497789 + 0.867298i \(0.665855\pi\)
\(912\) 579.724 + 607.997i 0.635663 + 0.666664i
\(913\) −196.807 89.8789i −0.215561 0.0984434i
\(914\) 30.7495 104.723i 0.0336427 0.114577i
\(915\) 22.9914 119.291i 0.0251272 0.130372i
\(916\) 213.248 184.780i 0.232803 0.201725i
\(917\) 801.631 + 1554.95i 0.874188 + 1.69569i
\(918\) −93.8798 271.248i −0.102266 0.295477i
\(919\) 623.751 + 1558.05i 0.678728 + 1.69538i 0.717899 + 0.696148i \(0.245104\pi\)
−0.0391707 + 0.999233i \(0.512472\pi\)
\(920\) 142.134 + 135.524i 0.154493 + 0.147309i
\(921\) −360.085 + 87.3556i −0.390972 + 0.0948487i
\(922\) −185.749 + 360.302i −0.201463 + 0.390784i
\(923\) 77.2489 + 11.1067i 0.0836932 + 0.0120333i
\(924\) −14.6548 49.9097i −0.0158602 0.0540149i
\(925\) 490.270 46.8151i 0.530021 0.0506109i
\(926\) −757.139 1063.25i −0.817645 1.14822i
\(927\) 15.7441 + 330.509i 0.0169839 + 0.356536i
\(928\) 200.239 + 69.3034i 0.215775 + 0.0746804i
\(929\) 741.384 106.595i 0.798045 0.114742i 0.268784 0.963201i \(-0.413378\pi\)
0.529261 + 0.848459i \(0.322469\pi\)
\(930\) 105.045 + 230.017i 0.112952 + 0.247330i
\(931\) 1994.28 + 798.390i 2.14208 + 0.857561i
\(932\) −3.62770 0.172809i −0.00389238 0.000185417i
\(933\) −199.615 + 128.285i −0.213949 + 0.137497i
\(934\) −1215.33 294.835i −1.30121 0.315670i
\(935\) 186.740 215.509i 0.199722 0.230491i
\(936\) −353.739 + 278.183i −0.377926 + 0.297204i
\(937\) 32.4401i 0.0346213i −0.999850 0.0173106i \(-0.994490\pi\)
0.999850 0.0173106i \(-0.00551042\pi\)
\(938\) −1632.42 + 506.934i −1.74032 + 0.540442i
\(939\) 154.457 0.164491
\(940\) −131.900 167.725i −0.140319 0.178430i
\(941\) 920.790 + 797.869i 0.978523 + 0.847895i 0.988372 0.152057i \(-0.0485896\pi\)
−0.00984895 + 0.999951i \(0.503135\pi\)
\(942\) 125.927 519.079i 0.133681 0.551040i
\(943\) 28.2514 + 43.9600i 0.0299590 + 0.0466172i
\(944\) 96.2931 2021.44i 0.102005 2.14136i
\(945\) −89.3209 + 223.113i −0.0945194 + 0.236098i
\(946\) −93.2014 + 42.5637i −0.0985216 + 0.0449933i
\(947\) −157.088 1092.57i −0.165880 1.15372i −0.887291 0.461210i \(-0.847415\pi\)
0.721411 0.692507i \(-0.243494\pi\)
\(948\) 45.6105 131.783i 0.0481123 0.139011i
\(949\) 856.840 40.8163i 0.902887 0.0430098i
\(950\) 411.395 292.953i 0.433048 0.308372i
\(951\) −14.3829 150.625i −0.0151240 0.158386i
\(952\) −1880.31 + 552.110i −1.97512 + 0.579947i
\(953\) 59.1432 411.350i 0.0620601 0.431637i −0.934977 0.354709i \(-0.884580\pi\)
0.997037 0.0769278i \(-0.0245111\pi\)
\(954\) −513.017 264.479i −0.537754 0.277231i
\(955\) −23.9641 98.7815i −0.0250933 0.103436i
\(956\) 161.809 169.700i 0.169256 0.177510i
\(957\) 67.3876 26.9779i 0.0704154 0.0281901i
\(958\) −766.780 + 265.385i −0.800397 + 0.277020i
\(959\) −2282.41 + 1176.66i −2.37999 + 1.22697i
\(960\) 197.799 + 228.272i 0.206041 + 0.237784i
\(961\) 680.207 + 131.099i 0.707811 + 0.136419i
\(962\) −2600.39 763.543i −2.70311 0.793704i
\(963\) −66.8344 + 146.347i −0.0694022 + 0.151970i
\(964\) −218.028 + 207.889i −0.226170 + 0.215653i
\(965\) −221.518 + 344.688i −0.229552 + 0.357190i
\(966\) 257.213 + 183.161i 0.266267 + 0.189608i
\(967\) −532.058 + 921.551i −0.550215 + 0.953000i 0.448044 + 0.894012i \(0.352121\pi\)
−0.998259 + 0.0589884i \(0.981213\pi\)
\(968\) 668.421 385.913i 0.690517 0.398670i
\(969\) −105.670 + 1106.63i −0.109051 + 1.14203i
\(970\) −190.462 988.210i −0.196352 1.01877i
\(971\) −294.307 231.446i −0.303097 0.238358i 0.455013 0.890485i \(-0.349635\pi\)
−0.758110 + 0.652127i \(0.773877\pi\)
\(972\) −8.83303 + 11.2321i −0.00908748 + 0.0115557i
\(973\) 933.928 180.000i 0.959844 0.184995i
\(974\) −77.1737 7.36919i −0.0792337 0.00756591i
\(975\) 167.989 + 290.965i 0.172296 + 0.298426i
\(976\) −284.482 164.246i −0.291478 0.168285i
\(977\) −604.999 + 849.602i −0.619242 + 0.869603i −0.998447 0.0557092i \(-0.982258\pi\)
0.379205 + 0.925313i \(0.376197\pi\)
\(978\) 914.023 + 587.407i 0.934584 + 0.600621i
\(979\) 72.5221 + 76.0590i 0.0740778 + 0.0776905i
\(980\) −279.480 127.634i −0.285184 0.130239i
\(981\) 88.8493 302.593i 0.0905702 0.308454i
\(982\) 305.366 1584.39i 0.310964 1.61343i
\(983\) −331.035 + 286.843i −0.336760 + 0.291804i −0.806780 0.590852i \(-0.798792\pi\)
0.470021 + 0.882655i \(0.344246\pi\)
\(984\) 39.6804 + 76.9692i 0.0403256 + 0.0782207i
\(985\) 134.258 + 387.912i 0.136302 + 0.393819i
\(986\) 302.161 + 754.761i 0.306451 + 0.765477i
\(987\) 835.187 + 796.349i 0.846187 + 0.806838i
\(988\) −503.543 + 122.158i −0.509659 + 0.123642i
\(989\) 53.1365 103.070i 0.0537275 0.104217i
\(990\) −75.3674 10.8362i −0.0761287 0.0109457i
\(991\) −419.470 1428.58i −0.423279 1.44156i −0.844968 0.534817i \(-0.820381\pi\)
0.421689 0.906741i \(-0.361437\pi\)
\(992\) 234.746 22.4156i 0.236639 0.0225963i
\(993\) −596.204 837.252i −0.600407 0.843154i
\(994\) −4.31791 90.6440i −0.00434397 0.0911912i
\(995\) −988.162 342.006i −0.993127 0.343725i
\(996\) −119.409 + 17.1684i −0.119889 + 0.0172374i
\(997\) 166.927 + 365.520i 0.167430 + 0.366620i 0.974685 0.223583i \(-0.0717753\pi\)
−0.807255 + 0.590202i \(0.799048\pi\)
\(998\) −153.953 61.6335i −0.154261 0.0617570i
\(999\) 289.134 + 13.7731i 0.289423 + 0.0137869i
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 201.3.n.b.13.4 240
67.31 odd 66 inner 201.3.n.b.31.4 yes 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
201.3.n.b.13.4 240 1.1 even 1 trivial
201.3.n.b.31.4 yes 240 67.31 odd 66 inner