Properties

Label 108.4.l.a.59.17
Level $108$
Weight $4$
Character 108.59
Analytic conductor $6.372$
Analytic rank $0$
Dimension $312$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [108,4,Mod(11,108)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(108, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([9, 13]))
 
N = Newforms(chi, 4, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("108.11");
 
S:= CuspForms(chi, 4);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 108 = 2^{2} \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 108.l (of order \(18\), degree \(6\), 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: \(6.37220628062\)
Analytic rank: \(0\)
Dimension: \(312\)
Relative dimension: \(52\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 59.17
Character \(\chi\) \(=\) 108.59
Dual form 108.4.l.a.11.17

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.74755 - 2.22397i) q^{2} +(-2.88986 - 4.31841i) q^{3} +(-1.89211 + 7.77303i) q^{4} +(3.28651 + 9.02962i) q^{5} +(-4.55384 + 13.9736i) q^{6} +(18.0956 - 3.19074i) q^{7} +(20.5936 - 9.37578i) q^{8} +(-10.2974 + 24.9592i) q^{9} +O(q^{10})\) \(q+(-1.74755 - 2.22397i) q^{2} +(-2.88986 - 4.31841i) q^{3} +(-1.89211 + 7.77303i) q^{4} +(3.28651 + 9.02962i) q^{5} +(-4.55384 + 13.9736i) q^{6} +(18.0956 - 3.19074i) q^{7} +(20.5936 - 9.37578i) q^{8} +(-10.2974 + 24.9592i) q^{9} +(14.3383 - 23.0889i) q^{10} +(49.0304 + 17.8456i) q^{11} +(39.0351 - 14.2921i) q^{12} +(-45.2507 - 37.9699i) q^{13} +(-38.7192 - 34.6681i) q^{14} +(29.4961 - 40.2869i) q^{15} +(-56.8398 - 29.4148i) q^{16} +(48.9268 + 28.2479i) q^{17} +(73.5039 - 20.7165i) q^{18} +(-11.8846 + 6.86160i) q^{19} +(-76.4059 + 8.46111i) q^{20} +(-66.0727 - 68.9235i) q^{21} +(-45.9952 - 140.228i) q^{22} +(32.1761 - 182.479i) q^{23} +(-100.001 - 61.8368i) q^{24} +(25.0227 - 20.9966i) q^{25} +(-5.36586 + 166.991i) q^{26} +(137.542 - 27.6604i) q^{27} +(-9.43714 + 146.695i) q^{28} +(199.157 + 237.347i) q^{29} +(-141.143 + 4.80506i) q^{30} +(123.956 + 21.8568i) q^{31} +(33.9129 + 177.814i) q^{32} +(-64.6264 - 263.305i) q^{33} +(-22.6796 - 158.176i) q^{34} +(88.2826 + 152.910i) q^{35} +(-174.525 - 127.267i) q^{36} +(41.7796 - 72.3645i) q^{37} +(36.0291 + 14.4401i) q^{38} +(-33.2012 + 305.139i) q^{39} +(152.341 + 155.138i) q^{40} +(29.6614 - 35.3491i) q^{41} +(-37.8182 + 267.391i) q^{42} +(117.701 - 323.380i) q^{43} +(-231.485 + 347.349i) q^{44} +(-259.215 - 10.9526i) q^{45} +(-462.059 + 247.334i) q^{46} +(40.4260 + 229.267i) q^{47} +(37.2339 + 330.463i) q^{48} +(-5.04477 + 1.83614i) q^{49} +(-90.4243 - 18.9572i) q^{50} +(-19.4056 - 292.918i) q^{51} +(380.760 - 279.892i) q^{52} +110.781i q^{53} +(-301.879 - 257.552i) q^{54} +501.376i q^{55} +(342.737 - 235.369i) q^{56} +(63.9762 + 31.4937i) q^{57} +(179.814 - 857.697i) q^{58} +(-510.698 + 185.879i) q^{59} +(257.341 + 305.501i) q^{60} +(87.1157 + 494.058i) q^{61} +(-168.011 - 313.871i) q^{62} +(-106.699 + 484.509i) q^{63} +(336.189 - 386.161i) q^{64} +(194.136 - 533.385i) q^{65} +(-472.645 + 603.867i) q^{66} +(-148.811 + 177.346i) q^{67} +(-312.146 + 326.861i) q^{68} +(-881.006 + 388.391i) q^{69} +(185.789 - 463.556i) q^{70} +(396.938 - 687.516i) q^{71} +(21.9525 + 610.546i) q^{72} +(228.548 + 395.856i) q^{73} +(-233.949 + 33.5440i) q^{74} +(-162.984 - 47.3813i) q^{75} +(-30.8483 - 105.362i) q^{76} +(944.175 + 166.484i) q^{77} +(736.642 - 459.408i) q^{78} +(-331.037 - 394.515i) q^{79} +(78.7999 - 609.914i) q^{80} +(-516.928 - 514.030i) q^{81} +(-130.450 - 4.19171i) q^{82} +(171.861 - 144.208i) q^{83} +(660.761 - 383.174i) q^{84} +(-94.2692 + 534.627i) q^{85} +(-924.875 + 303.360i) q^{86} +(449.423 - 1545.94i) q^{87} +(1177.03 - 92.1938i) q^{88} +(425.857 - 245.869i) q^{89} +(428.634 + 595.627i) q^{90} +(-939.991 - 542.704i) q^{91} +(1357.54 + 595.376i) q^{92} +(-263.829 - 598.457i) q^{93} +(439.238 - 490.563i) q^{94} +(-101.017 - 84.7630i) q^{95} +(669.872 - 660.309i) q^{96} +(-799.029 - 290.823i) q^{97} +(12.8995 + 8.01066i) q^{98} +(-950.298 + 1040.00i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 312 q - 6 q^{2} - 6 q^{4} - 12 q^{5} - 6 q^{6} - 9 q^{8} - 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 312 q - 6 q^{2} - 6 q^{4} - 12 q^{5} - 6 q^{6} - 9 q^{8} - 12 q^{9} - 3 q^{10} - 123 q^{12} - 12 q^{13} + 69 q^{14} - 6 q^{16} - 18 q^{17} + 351 q^{18} + 225 q^{20} - 12 q^{21} - 6 q^{22} - 300 q^{24} - 12 q^{25} - 12 q^{28} - 96 q^{29} - 207 q^{30} - 696 q^{32} + 858 q^{33} - 30 q^{34} - 1056 q^{36} - 6 q^{37} - 900 q^{38} - 381 q^{40} + 138 q^{41} + 2574 q^{42} + 2655 q^{44} - 672 q^{45} - 3 q^{46} - 435 q^{48} - 12 q^{49} - 2829 q^{50} + 1371 q^{52} - 4458 q^{54} - 2925 q^{56} + 660 q^{57} + 885 q^{58} + 966 q^{60} - 12 q^{61} + 1872 q^{62} - 3 q^{64} - 708 q^{65} + 3093 q^{66} + 2211 q^{68} - 1572 q^{69} - 1011 q^{70} - 4524 q^{72} - 6 q^{73} - 5883 q^{74} - 198 q^{76} - 996 q^{77} - 2976 q^{78} + 444 q^{81} - 12 q^{82} + 6324 q^{84} - 762 q^{85} + 8322 q^{86} + 1530 q^{88} + 4212 q^{89} - 1104 q^{90} - 3255 q^{92} + 7404 q^{93} + 2019 q^{94} + 582 q^{96} - 66 q^{97} + 2898 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(55\)
\(\chi(n)\) \(e\left(\frac{5}{18}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.74755 2.22397i −0.617854 0.786293i
\(3\) −2.88986 4.31841i −0.556154 0.831079i
\(4\) −1.89211 + 7.77303i −0.236514 + 0.971628i
\(5\) 3.28651 + 9.02962i 0.293955 + 0.807634i 0.995478 + 0.0949876i \(0.0302812\pi\)
−0.701524 + 0.712646i \(0.747497\pi\)
\(6\) −4.55384 + 13.9736i −0.309850 + 0.950786i
\(7\) 18.0956 3.19074i 0.977070 0.172284i 0.337760 0.941232i \(-0.390331\pi\)
0.639311 + 0.768949i \(0.279220\pi\)
\(8\) 20.5936 9.37578i 0.910115 0.414355i
\(9\) −10.2974 + 24.9592i −0.381385 + 0.924416i
\(10\) 14.3383 23.0889i 0.453416 0.730134i
\(11\) 49.0304 + 17.8456i 1.34393 + 0.489150i 0.911048 0.412300i \(-0.135275\pi\)
0.432882 + 0.901451i \(0.357497\pi\)
\(12\) 39.0351 14.2921i 0.939038 0.343814i
\(13\) −45.2507 37.9699i −0.965407 0.810073i 0.0164169 0.999865i \(-0.494774\pi\)
−0.981824 + 0.189792i \(0.939219\pi\)
\(14\) −38.7192 34.6681i −0.739152 0.661818i
\(15\) 29.4961 40.2869i 0.507723 0.693468i
\(16\) −56.8398 29.4148i −0.888123 0.459607i
\(17\) 48.9268 + 28.2479i 0.698028 + 0.403007i 0.806613 0.591080i \(-0.201298\pi\)
−0.108584 + 0.994087i \(0.534632\pi\)
\(18\) 73.5039 20.7165i 0.962502 0.271274i
\(19\) −11.8846 + 6.86160i −0.143501 + 0.0828505i −0.570032 0.821623i \(-0.693069\pi\)
0.426530 + 0.904473i \(0.359736\pi\)
\(20\) −76.4059 + 8.46111i −0.854244 + 0.0945981i
\(21\) −66.0727 68.9235i −0.686583 0.716206i
\(22\) −45.9952 140.228i −0.445736 1.35895i
\(23\) 32.1761 182.479i 0.291703 1.65433i −0.388605 0.921404i \(-0.627043\pi\)
0.680308 0.732926i \(-0.261846\pi\)
\(24\) −100.001 61.8368i −0.850526 0.525933i
\(25\) 25.0227 20.9966i 0.200182 0.167972i
\(26\) −5.36586 + 166.991i −0.0404743 + 1.25960i
\(27\) 137.542 27.6604i 0.980372 0.197157i
\(28\) −9.43714 + 146.695i −0.0636947 + 0.990097i
\(29\) 199.157 + 237.347i 1.27526 + 1.51980i 0.734467 + 0.678645i \(0.237432\pi\)
0.540796 + 0.841154i \(0.318123\pi\)
\(30\) −141.143 + 4.80506i −0.858968 + 0.0292427i
\(31\) 123.956 + 21.8568i 0.718167 + 0.126632i 0.520777 0.853693i \(-0.325642\pi\)
0.197390 + 0.980325i \(0.436753\pi\)
\(32\) 33.9129 + 177.814i 0.187344 + 0.982294i
\(33\) −64.6264 263.305i −0.340910 1.38896i
\(34\) −22.6796 158.176i −0.114398 0.797854i
\(35\) 88.2826 + 152.910i 0.426357 + 0.738471i
\(36\) −174.525 127.267i −0.807986 0.589201i
\(37\) 41.7796 72.3645i 0.185636 0.321531i −0.758155 0.652075i \(-0.773899\pi\)
0.943791 + 0.330544i \(0.107232\pi\)
\(38\) 36.0291 + 14.4401i 0.153807 + 0.0616446i
\(39\) −33.2012 + 305.139i −0.136319 + 1.25286i
\(40\) 152.341 + 155.138i 0.602180 + 0.613238i
\(41\) 29.6614 35.3491i 0.112984 0.134649i −0.706588 0.707625i \(-0.749767\pi\)
0.819572 + 0.572976i \(0.194211\pi\)
\(42\) −37.8182 + 267.391i −0.138940 + 0.982367i
\(43\) 117.701 323.380i 0.417422 1.14686i −0.535736 0.844386i \(-0.679966\pi\)
0.953158 0.302473i \(-0.0978121\pi\)
\(44\) −231.485 + 347.349i −0.793130 + 1.19011i
\(45\) −259.215 10.9526i −0.858700 0.0362827i
\(46\) −462.059 + 247.334i −1.48102 + 0.792770i
\(47\) 40.4260 + 229.267i 0.125463 + 0.711533i 0.981032 + 0.193846i \(0.0620961\pi\)
−0.855570 + 0.517688i \(0.826793\pi\)
\(48\) 37.2339 + 330.463i 0.111964 + 0.993712i
\(49\) −5.04477 + 1.83614i −0.0147078 + 0.00535319i
\(50\) −90.4243 18.9572i −0.255759 0.0536191i
\(51\) −19.4056 292.918i −0.0532809 0.804251i
\(52\) 380.760 279.892i 1.01542 0.746424i
\(53\) 110.781i 0.287113i 0.989642 + 0.143556i \(0.0458538\pi\)
−0.989642 + 0.143556i \(0.954146\pi\)
\(54\) −301.879 257.552i −0.760750 0.649045i
\(55\) 501.376i 1.22919i
\(56\) 342.737 235.369i 0.817860 0.561652i
\(57\) 63.9762 + 31.4937i 0.148664 + 0.0731832i
\(58\) 179.814 857.697i 0.407082 1.94174i
\(59\) −510.698 + 185.879i −1.12690 + 0.410159i −0.837167 0.546948i \(-0.815790\pi\)
−0.289736 + 0.957107i \(0.593567\pi\)
\(60\) 257.341 + 305.501i 0.553710 + 0.657333i
\(61\) 87.1157 + 494.058i 0.182853 + 1.03701i 0.928683 + 0.370874i \(0.120942\pi\)
−0.745830 + 0.666136i \(0.767947\pi\)
\(62\) −168.011 313.871i −0.344152 0.642930i
\(63\) −106.699 + 484.509i −0.213378 + 0.968926i
\(64\) 336.189 386.161i 0.656620 0.754222i
\(65\) 194.136 533.385i 0.370456 1.01782i
\(66\) −472.645 + 603.867i −0.881494 + 1.12623i
\(67\) −148.811 + 177.346i −0.271345 + 0.323377i −0.884459 0.466618i \(-0.845472\pi\)
0.613114 + 0.789995i \(0.289917\pi\)
\(68\) −312.146 + 326.861i −0.556666 + 0.582907i
\(69\) −881.006 + 388.391i −1.53711 + 0.677635i
\(70\) 185.789 463.556i 0.317229 0.791508i
\(71\) 396.938 687.516i 0.663491 1.14920i −0.316201 0.948692i \(-0.602408\pi\)
0.979692 0.200508i \(-0.0642591\pi\)
\(72\) 21.9525 + 610.546i 0.0359323 + 0.999354i
\(73\) 228.548 + 395.856i 0.366431 + 0.634678i 0.989005 0.147884i \(-0.0472461\pi\)
−0.622573 + 0.782561i \(0.713913\pi\)
\(74\) −233.949 + 33.5440i −0.367513 + 0.0526948i
\(75\) −162.984 47.3813i −0.250930 0.0729483i
\(76\) −30.8483 105.362i −0.0465598 0.159025i
\(77\) 944.175 + 166.484i 1.39739 + 0.246397i
\(78\) 736.642 459.408i 1.06934 0.666894i
\(79\) −331.037 394.515i −0.471451 0.561853i 0.476949 0.878931i \(-0.341743\pi\)
−0.948400 + 0.317078i \(0.897298\pi\)
\(80\) 78.7999 609.914i 0.110126 0.852381i
\(81\) −516.928 514.030i −0.709091 0.705117i
\(82\) −130.450 4.19171i −0.175681 0.00564509i
\(83\) 171.861 144.208i 0.227279 0.190710i −0.522036 0.852924i \(-0.674827\pi\)
0.749315 + 0.662214i \(0.230383\pi\)
\(84\) 660.761 383.174i 0.858273 0.497711i
\(85\) −94.2692 + 534.627i −0.120293 + 0.682217i
\(86\) −924.875 + 303.360i −1.15967 + 0.380374i
\(87\) 449.423 1545.94i 0.553830 1.90509i
\(88\) 1177.03 92.1938i 1.42581 0.111681i
\(89\) 425.857 245.869i 0.507199 0.292832i −0.224482 0.974478i \(-0.572069\pi\)
0.731682 + 0.681647i \(0.238736\pi\)
\(90\) 428.634 + 595.627i 0.502022 + 0.697607i
\(91\) −939.991 542.704i −1.08283 0.625174i
\(92\) 1357.54 + 595.376i 1.53840 + 0.674699i
\(93\) −263.829 598.457i −0.294170 0.667280i
\(94\) 439.238 490.563i 0.481956 0.538274i
\(95\) −101.017 84.7630i −0.109096 0.0915421i
\(96\) 669.872 660.309i 0.712172 0.702005i
\(97\) −799.029 290.823i −0.836383 0.304419i −0.111907 0.993719i \(-0.535696\pi\)
−0.724476 + 0.689300i \(0.757918\pi\)
\(98\) 12.8995 + 8.01066i 0.0132964 + 0.00825713i
\(99\) −950.298 + 1040.00i −0.964733 + 1.05580i
\(100\) 115.861 + 234.230i 0.115861 + 0.234230i
\(101\) 75.6200 13.3338i 0.0744997 0.0131363i −0.136274 0.990671i \(-0.543513\pi\)
0.210774 + 0.977535i \(0.432402\pi\)
\(102\) −617.530 + 555.048i −0.599457 + 0.538804i
\(103\) 271.584 + 746.171i 0.259806 + 0.713810i 0.999179 + 0.0405143i \(0.0128996\pi\)
−0.739373 + 0.673296i \(0.764878\pi\)
\(104\) −1287.87 357.674i −1.21429 0.337239i
\(105\) 405.204 823.129i 0.376608 0.765040i
\(106\) 246.374 193.596i 0.225755 0.177394i
\(107\) −1385.05 −1.25138 −0.625689 0.780073i \(-0.715182\pi\)
−0.625689 + 0.780073i \(0.715182\pi\)
\(108\) −45.2403 + 1121.46i −0.0403079 + 0.999187i
\(109\) −485.933 −0.427009 −0.213505 0.976942i \(-0.568488\pi\)
−0.213505 + 0.976942i \(0.568488\pi\)
\(110\) 1115.05 876.181i 0.966504 0.759460i
\(111\) −433.237 + 28.7016i −0.370460 + 0.0245426i
\(112\) −1122.41 350.918i −0.946941 0.296059i
\(113\) −187.687 515.666i −0.156249 0.429290i 0.836725 0.547623i \(-0.184467\pi\)
−0.992974 + 0.118333i \(0.962245\pi\)
\(114\) −41.7607 197.318i −0.0343092 0.162110i
\(115\) 1753.47 309.184i 1.42184 0.250709i
\(116\) −2221.73 + 1098.97i −1.77830 + 0.879628i
\(117\) 1413.66 738.433i 1.11704 0.583489i
\(118\) 1305.86 + 810.946i 1.01877 + 0.632658i
\(119\) 975.491 + 355.050i 0.751454 + 0.273507i
\(120\) 229.708 1106.20i 0.174745 0.841514i
\(121\) 1065.91 + 894.406i 0.800835 + 0.671980i
\(122\) 946.532 1057.14i 0.702418 0.784497i
\(123\) −238.369 25.9362i −0.174740 0.0190129i
\(124\) −404.432 + 922.158i −0.292896 + 0.667841i
\(125\) 1312.05 + 757.510i 0.938824 + 0.542030i
\(126\) 1264.00 609.410i 0.893696 0.430877i
\(127\) −918.434 + 530.258i −0.641715 + 0.370494i −0.785275 0.619147i \(-0.787478\pi\)
0.143560 + 0.989642i \(0.454145\pi\)
\(128\) −1446.32 72.8382i −0.998734 0.0502973i
\(129\) −1736.62 + 426.243i −1.18528 + 0.290919i
\(130\) −1525.50 + 500.366i −1.02919 + 0.337577i
\(131\) −411.077 + 2331.33i −0.274168 + 1.55488i 0.467425 + 0.884033i \(0.345182\pi\)
−0.741593 + 0.670850i \(0.765929\pi\)
\(132\) 2168.96 4.14099i 1.43018 0.00273051i
\(133\) −193.166 + 162.086i −0.125937 + 0.105674i
\(134\) 654.467 + 21.0298i 0.421921 + 0.0135574i
\(135\) 701.797 + 1151.05i 0.447416 + 0.733826i
\(136\) 1272.42 + 122.998i 0.802274 + 0.0775513i
\(137\) 123.400 + 147.063i 0.0769548 + 0.0917111i 0.803148 0.595779i \(-0.203157\pi\)
−0.726193 + 0.687490i \(0.758712\pi\)
\(138\) 2403.38 + 1280.60i 1.48253 + 0.789941i
\(139\) −1218.80 214.907i −0.743721 0.131138i −0.211067 0.977472i \(-0.567694\pi\)
−0.532653 + 0.846334i \(0.678805\pi\)
\(140\) −1355.61 + 396.900i −0.818359 + 0.239601i
\(141\) 873.245 837.127i 0.521564 0.499992i
\(142\) −2222.69 + 318.693i −1.31355 + 0.188339i
\(143\) −1541.07 2669.21i −0.901192 1.56091i
\(144\) 1319.47 1115.78i 0.763584 0.645708i
\(145\) −1488.62 + 2578.36i −0.852571 + 1.47670i
\(146\) 480.974 1200.06i 0.272642 0.680260i
\(147\) 22.5079 + 16.4792i 0.0126287 + 0.00924612i
\(148\) 483.439 + 461.676i 0.268503 + 0.256416i
\(149\) −688.324 + 820.313i −0.378454 + 0.451024i −0.921326 0.388791i \(-0.872893\pi\)
0.542871 + 0.839816i \(0.317337\pi\)
\(150\) 179.449 + 445.273i 0.0976795 + 0.242376i
\(151\) 934.339 2567.07i 0.503546 1.38348i −0.384244 0.923232i \(-0.625538\pi\)
0.887790 0.460249i \(-0.152240\pi\)
\(152\) −180.414 + 252.733i −0.0962732 + 0.134864i
\(153\) −1208.86 + 930.296i −0.638764 + 0.491568i
\(154\) −1279.74 2390.76i −0.669640 1.25099i
\(155\) 210.025 + 1191.11i 0.108836 + 0.617240i
\(156\) −2309.03 835.430i −1.18507 0.428769i
\(157\) −3186.44 + 1159.77i −1.61978 + 0.589552i −0.983340 0.181774i \(-0.941816\pi\)
−0.636440 + 0.771326i \(0.719594\pi\)
\(158\) −298.885 + 1425.65i −0.150494 + 0.717842i
\(159\) 478.399 320.143i 0.238613 0.159679i
\(160\) −1494.14 + 890.609i −0.738263 + 0.440055i
\(161\) 3404.74i 1.66665i
\(162\) −239.830 + 2047.93i −0.116314 + 0.993213i
\(163\) 3446.63i 1.65620i 0.560579 + 0.828101i \(0.310578\pi\)
−0.560579 + 0.828101i \(0.689422\pi\)
\(164\) 218.647 + 297.443i 0.104106 + 0.141624i
\(165\) 2165.15 1448.91i 1.02155 0.683620i
\(166\) −621.052 130.202i −0.290379 0.0608773i
\(167\) 1464.96 533.201i 0.678814 0.247068i 0.0204757 0.999790i \(-0.493482\pi\)
0.658338 + 0.752722i \(0.271260\pi\)
\(168\) −2006.88 799.896i −0.921634 0.367341i
\(169\) 224.412 + 1272.71i 0.102145 + 0.579293i
\(170\) 1353.74 724.637i 0.610746 0.326924i
\(171\) −48.8796 367.288i −0.0218591 0.164253i
\(172\) 2290.93 + 1526.76i 1.01559 + 0.676827i
\(173\) 344.373 946.157i 0.151342 0.415809i −0.840734 0.541449i \(-0.817876\pi\)
0.992076 + 0.125640i \(0.0400983\pi\)
\(174\) −4223.53 + 1702.11i −1.84014 + 0.741592i
\(175\) 385.806 459.786i 0.166653 0.198609i
\(176\) −2261.96 2456.56i −0.968757 1.05210i
\(177\) 2278.55 + 1668.24i 0.967606 + 0.708434i
\(178\) −1291.01 517.425i −0.543626 0.217880i
\(179\) 1611.21 2790.70i 0.672779 1.16529i −0.304333 0.952566i \(-0.598434\pi\)
0.977113 0.212722i \(-0.0682329\pi\)
\(180\) 575.598 1994.16i 0.238348 0.825755i
\(181\) −330.455 572.366i −0.135705 0.235048i 0.790162 0.612898i \(-0.209997\pi\)
−0.925866 + 0.377851i \(0.876663\pi\)
\(182\) 435.726 + 3038.92i 0.177462 + 1.23769i
\(183\) 1881.79 1803.96i 0.760143 0.728703i
\(184\) −1048.27 4059.58i −0.419996 1.62650i
\(185\) 790.733 + 139.428i 0.314248 + 0.0554104i
\(186\) −869.896 + 1632.59i −0.342924 + 0.643586i
\(187\) 1894.80 + 2258.13i 0.740970 + 0.883054i
\(188\) −1858.59 119.566i −0.721020 0.0463845i
\(189\) 2400.65 939.394i 0.923925 0.361539i
\(190\) −11.9786 + 372.786i −0.00457379 + 0.142341i
\(191\) −1338.61 + 1123.23i −0.507113 + 0.425518i −0.860112 0.510105i \(-0.829606\pi\)
0.352999 + 0.935624i \(0.385162\pi\)
\(192\) −2639.15 335.852i −0.992000 0.126240i
\(193\) 753.723 4274.57i 0.281110 1.59425i −0.437750 0.899097i \(-0.644225\pi\)
0.718860 0.695155i \(-0.244664\pi\)
\(194\) 749.565 + 2285.25i 0.277400 + 0.845728i
\(195\) −2864.41 + 703.049i −1.05192 + 0.258187i
\(196\) −4.72715 42.6873i −0.00172272 0.0155566i
\(197\) −3588.42 + 2071.78i −1.29779 + 0.749279i −0.980022 0.198889i \(-0.936267\pi\)
−0.317768 + 0.948169i \(0.602933\pi\)
\(198\) 3973.63 + 295.983i 1.42623 + 0.106235i
\(199\) −1084.99 626.421i −0.386498 0.223145i 0.294144 0.955761i \(-0.404966\pi\)
−0.680642 + 0.732617i \(0.738299\pi\)
\(200\) 318.448 667.001i 0.112588 0.235821i
\(201\) 1195.90 + 130.122i 0.419662 + 0.0456620i
\(202\) −161.804 144.875i −0.0563589 0.0504623i
\(203\) 4361.19 + 3659.47i 1.50786 + 1.26524i
\(204\) 2313.58 + 403.394i 0.794034 + 0.138447i
\(205\) 416.671 + 151.656i 0.141959 + 0.0516688i
\(206\) 1184.86 1907.97i 0.400742 0.645313i
\(207\) 4223.22 + 2682.15i 1.41804 + 0.900592i
\(208\) 1455.17 + 3489.24i 0.485085 + 1.16315i
\(209\) −705.158 + 124.338i −0.233382 + 0.0411515i
\(210\) −2538.73 + 537.301i −0.834234 + 0.176559i
\(211\) −918.340 2523.12i −0.299626 0.823216i −0.994562 0.104145i \(-0.966790\pi\)
0.694936 0.719072i \(-0.255433\pi\)
\(212\) −861.105 209.610i −0.278967 0.0679061i
\(213\) −4116.08 + 272.686i −1.32408 + 0.0877191i
\(214\) 2420.44 + 3080.30i 0.773168 + 0.983949i
\(215\) 3306.82 1.04894
\(216\) 2573.15 1859.19i 0.810558 0.585658i
\(217\) 2312.80 0.723516
\(218\) 849.195 + 1080.70i 0.263829 + 0.335754i
\(219\) 1049.00 2130.93i 0.323675 0.657512i
\(220\) −3897.21 948.658i −1.19432 0.290720i
\(221\) −1141.40 3135.98i −0.347417 0.954520i
\(222\) 820.937 + 913.350i 0.248188 + 0.276126i
\(223\) 5207.99 918.309i 1.56391 0.275760i 0.676398 0.736537i \(-0.263540\pi\)
0.887516 + 0.460777i \(0.152429\pi\)
\(224\) 1181.03 + 3109.45i 0.352282 + 0.927494i
\(225\) 266.389 + 840.758i 0.0789302 + 0.249113i
\(226\) −818.834 + 1318.57i −0.241009 + 0.388096i
\(227\) −3902.72 1420.47i −1.14111 0.415331i −0.298797 0.954317i \(-0.596585\pi\)
−0.842315 + 0.538986i \(0.818808\pi\)
\(228\) −365.851 + 437.699i −0.106268 + 0.127137i
\(229\) 3397.41 + 2850.77i 0.980381 + 0.822637i 0.984147 0.177356i \(-0.0567543\pi\)
−0.00376603 + 0.999993i \(0.501199\pi\)
\(230\) −3751.89 3359.35i −1.07562 0.963082i
\(231\) −2009.59 4558.45i −0.572387 1.29837i
\(232\) 6326.67 + 3020.56i 1.79037 + 0.854781i
\(233\) −435.336 251.341i −0.122403 0.0706692i 0.437549 0.899195i \(-0.355847\pi\)
−0.559951 + 0.828526i \(0.689180\pi\)
\(234\) −4112.71 1853.50i −1.14896 0.517807i
\(235\) −1937.34 + 1118.52i −0.537778 + 0.310486i
\(236\) −478.545 4321.37i −0.131994 1.19194i
\(237\) −747.026 + 2569.65i −0.204745 + 0.704290i
\(238\) −915.102 2789.93i −0.249232 0.759851i
\(239\) −273.123 + 1548.96i −0.0739198 + 0.419220i 0.925282 + 0.379279i \(0.123828\pi\)
−0.999202 + 0.0399408i \(0.987283\pi\)
\(240\) −2861.58 + 1422.28i −0.769643 + 0.382532i
\(241\) 1968.40 1651.68i 0.526123 0.441470i −0.340637 0.940195i \(-0.610643\pi\)
0.866760 + 0.498725i \(0.166198\pi\)
\(242\) 126.396 3933.58i 0.0335747 1.04488i
\(243\) −725.945 + 3717.78i −0.191644 + 0.981465i
\(244\) −4005.16 257.659i −1.05084 0.0676021i
\(245\) −33.1594 39.5178i −0.00864683 0.0103049i
\(246\) 358.882 + 575.451i 0.0930140 + 0.149144i
\(247\) 798.323 + 140.766i 0.205652 + 0.0362620i
\(248\) 2757.62 712.076i 0.706085 0.182326i
\(249\) −1119.41 325.424i −0.284898 0.0828229i
\(250\) −608.189 4241.74i −0.153861 1.07309i
\(251\) −3816.86 6611.00i −0.959834 1.66248i −0.722897 0.690955i \(-0.757190\pi\)
−0.236936 0.971525i \(-0.576143\pi\)
\(252\) −3564.21 1746.12i −0.890969 0.436488i
\(253\) 4834.06 8372.84i 1.20124 2.08062i
\(254\) 2784.29 + 1115.92i 0.687803 + 0.275665i
\(255\) 2581.17 1137.91i 0.633878 0.279445i
\(256\) 2365.54 + 3343.87i 0.577523 + 0.816374i
\(257\) −945.824 + 1127.19i −0.229568 + 0.273588i −0.868516 0.495662i \(-0.834926\pi\)
0.638948 + 0.769250i \(0.279370\pi\)
\(258\) 3982.80 + 3117.32i 0.961078 + 0.752233i
\(259\) 525.131 1442.79i 0.125985 0.346140i
\(260\) 3778.69 + 2518.25i 0.901325 + 0.600674i
\(261\) −7974.79 + 2526.77i −1.89129 + 0.599245i
\(262\) 5903.20 3159.91i 1.39199 0.745114i
\(263\) 220.856 + 1252.54i 0.0517816 + 0.293668i 0.999691 0.0248732i \(-0.00791819\pi\)
−0.947909 + 0.318541i \(0.896807\pi\)
\(264\) −3799.58 4816.46i −0.885787 1.12285i
\(265\) −1000.31 + 364.084i −0.231882 + 0.0843981i
\(266\) 698.042 + 146.343i 0.160901 + 0.0337325i
\(267\) −2292.43 1128.50i −0.525447 0.258663i
\(268\) −1096.95 1492.27i −0.250025 0.340130i
\(269\) 4233.57i 0.959575i 0.877385 + 0.479787i \(0.159286\pi\)
−0.877385 + 0.479787i \(0.840714\pi\)
\(270\) 1333.47 3572.30i 0.300565 0.805197i
\(271\) 6622.70i 1.48450i −0.670122 0.742251i \(-0.733758\pi\)
0.670122 0.742251i \(-0.266242\pi\)
\(272\) −1950.08 3044.78i −0.434710 0.678738i
\(273\) 372.824 + 5627.61i 0.0826533 + 1.24761i
\(274\) 111.415 531.439i 0.0245650 0.117173i
\(275\) 1601.57 582.924i 0.351194 0.127824i
\(276\) −1352.01 7582.96i −0.294861 1.65377i
\(277\) −819.849 4649.60i −0.177834 1.00855i −0.934822 0.355117i \(-0.884441\pi\)
0.756988 0.653429i \(-0.226670\pi\)
\(278\) 1651.97 + 3086.14i 0.356398 + 0.665806i
\(279\) −1821.95 + 2868.78i −0.390959 + 0.615590i
\(280\) 3251.70 + 2321.24i 0.694023 + 0.495431i
\(281\) −2137.68 + 5873.24i −0.453820 + 1.24686i 0.476195 + 0.879340i \(0.342016\pi\)
−0.930015 + 0.367521i \(0.880207\pi\)
\(282\) −3387.79 479.149i −0.715390 0.101180i
\(283\) −5349.42 + 6375.19i −1.12364 + 1.33910i −0.189628 + 0.981856i \(0.560728\pi\)
−0.934011 + 0.357245i \(0.883716\pi\)
\(284\) 4593.03 + 4386.26i 0.959670 + 0.916468i
\(285\) −74.1176 + 681.185i −0.0154047 + 0.141579i
\(286\) −3243.14 + 8091.87i −0.670528 + 1.67302i
\(287\) 423.951 734.304i 0.0871952 0.151026i
\(288\) −4787.32 984.582i −0.979499 0.201448i
\(289\) −860.615 1490.63i −0.175171 0.303405i
\(290\) 8335.64 1195.18i 1.68788 0.242012i
\(291\) 1053.19 + 4290.98i 0.212162 + 0.864404i
\(292\) −3509.44 + 1027.50i −0.703337 + 0.205925i
\(293\) 1016.72 + 179.274i 0.202721 + 0.0357451i 0.274086 0.961705i \(-0.411625\pi\)
−0.0713656 + 0.997450i \(0.522736\pi\)
\(294\) −2.68455 78.8552i −0.000532537 0.0156426i
\(295\) −3356.83 4000.52i −0.662516 0.789556i
\(296\) 181.918 1881.96i 0.0357222 0.369549i
\(297\) 7237.38 + 1098.33i 1.41399 + 0.214584i
\(298\) 3027.24 + 97.2732i 0.588467 + 0.0189090i
\(299\) −8384.71 + 7035.61i −1.62174 + 1.36080i
\(300\) 676.680 1177.23i 0.130227 0.226558i
\(301\) 1098.04 6227.30i 0.210266 1.19248i
\(302\) −7341.91 + 2408.16i −1.39894 + 0.458854i
\(303\) −276.112 288.025i −0.0523506 0.0546093i
\(304\) 877.354 40.4276i 0.165525 0.00762724i
\(305\) −4174.85 + 2410.35i −0.783774 + 0.452512i
\(306\) 4181.51 + 1062.74i 0.781179 + 0.198538i
\(307\) −4655.14 2687.65i −0.865416 0.499648i 0.000406119 1.00000i \(-0.499871\pi\)
−0.865822 + 0.500352i \(0.833204\pi\)
\(308\) −3080.56 + 7024.09i −0.569907 + 1.29946i
\(309\) 2437.43 3329.14i 0.448740 0.612907i
\(310\) 2281.96 2548.62i 0.418087 0.466941i
\(311\) 1484.30 + 1245.48i 0.270633 + 0.227088i 0.767996 0.640454i \(-0.221254\pi\)
−0.497363 + 0.867542i \(0.665698\pi\)
\(312\) 2177.19 + 6595.19i 0.395061 + 1.19673i
\(313\) −2268.86 825.799i −0.409724 0.149128i 0.128931 0.991654i \(-0.458845\pi\)
−0.538656 + 0.842526i \(0.681068\pi\)
\(314\) 8147.77 + 5059.79i 1.46435 + 0.909365i
\(315\) −4725.60 + 628.893i −0.845261 + 0.112489i
\(316\) 3692.93 1826.70i 0.657417 0.325189i
\(317\) 546.031 96.2799i 0.0967449 0.0170587i −0.125066 0.992148i \(-0.539914\pi\)
0.221811 + 0.975090i \(0.428803\pi\)
\(318\) −1548.02 504.480i −0.272983 0.0889618i
\(319\) 5529.18 + 15191.3i 0.970453 + 2.66630i
\(320\) 4591.78 + 1766.54i 0.802151 + 0.308601i
\(321\) 4002.59 + 5981.20i 0.695959 + 1.03999i
\(322\) −7572.05 + 5949.97i −1.31048 + 1.02975i
\(323\) −775.302 −0.133557
\(324\) 4973.65 3045.49i 0.852821 0.522203i
\(325\) −1929.53 −0.329327
\(326\) 7665.21 6023.17i 1.30226 1.02329i
\(327\) 1404.28 + 2098.46i 0.237483 + 0.354878i
\(328\) 279.408 1006.06i 0.0470358 0.169361i
\(329\) 1463.07 + 4019.74i 0.245171 + 0.673603i
\(330\) −7006.04 2283.19i −1.16870 0.380864i
\(331\) −5590.47 + 985.750i −0.928338 + 0.163691i −0.617319 0.786713i \(-0.711781\pi\)
−0.311019 + 0.950404i \(0.600670\pi\)
\(332\) 795.756 + 1608.74i 0.131545 + 0.265937i
\(333\) 1375.94 + 1787.95i 0.226430 + 0.294232i
\(334\) −3745.92 2326.23i −0.613676 0.381095i
\(335\) −2090.43 760.856i −0.340933 0.124090i
\(336\) 1728.19 + 5861.12i 0.280597 + 0.951637i
\(337\) −4882.71 4097.08i −0.789252 0.662261i 0.156308 0.987708i \(-0.450041\pi\)
−0.945560 + 0.325447i \(0.894485\pi\)
\(338\) 2438.29 2723.21i 0.392383 0.438234i
\(339\) −1684.47 + 2300.72i −0.269876 + 0.368607i
\(340\) −3977.30 1744.33i −0.634410 0.278234i
\(341\) 5687.57 + 3283.72i 0.903224 + 0.521476i
\(342\) −731.419 + 750.563i −0.115645 + 0.118672i
\(343\) −5543.59 + 3200.59i −0.872670 + 0.503836i
\(344\) −608.063 7763.07i −0.0953039 1.21673i
\(345\) −6402.46 6678.70i −0.999121 1.04223i
\(346\) −2706.04 + 887.584i −0.420455 + 0.137910i
\(347\) 473.597 2685.90i 0.0732681 0.415524i −0.926009 0.377502i \(-0.876783\pi\)
0.999277 0.0380221i \(-0.0121057\pi\)
\(348\) 11166.3 + 6418.47i 1.72005 + 0.988696i
\(349\) 5235.18 4392.84i 0.802959 0.673763i −0.145957 0.989291i \(-0.546626\pi\)
0.948916 + 0.315528i \(0.102182\pi\)
\(350\) −1696.77 54.5218i −0.259132 0.00832660i
\(351\) −7274.15 3970.81i −1.10617 0.603836i
\(352\) −1510.44 + 9323.51i −0.228712 + 1.41177i
\(353\) −2870.02 3420.35i −0.432736 0.515714i 0.504974 0.863135i \(-0.331502\pi\)
−0.937709 + 0.347420i \(0.887058\pi\)
\(354\) −271.765 7982.78i −0.0408027 1.19853i
\(355\) 7512.55 + 1324.67i 1.12317 + 0.198045i
\(356\) 1105.37 + 3775.41i 0.164564 + 0.562068i
\(357\) −1285.78 5238.62i −0.190619 0.776630i
\(358\) −9022.11 + 1293.61i −1.33194 + 0.190976i
\(359\) 2360.36 + 4088.27i 0.347006 + 0.601032i 0.985716 0.168416i \(-0.0538651\pi\)
−0.638710 + 0.769447i \(0.720532\pi\)
\(360\) −5440.85 + 2204.79i −0.796550 + 0.322785i
\(361\) −3335.34 + 5776.97i −0.486272 + 0.842247i
\(362\) −695.437 + 1735.16i −0.100971 + 0.251929i
\(363\) 782.077 7187.75i 0.113081 1.03928i
\(364\) 5997.02 6279.72i 0.863542 0.904249i
\(365\) −2823.31 + 3364.69i −0.404873 + 0.482509i
\(366\) −7300.50 1032.54i −1.04263 0.147464i
\(367\) 1645.76 4521.68i 0.234081 0.643133i −0.765919 0.642937i \(-0.777716\pi\)
1.00000 0.000195436i \(-6.22092e-5\pi\)
\(368\) −7196.49 + 9425.65i −1.01941 + 1.33518i
\(369\) 576.851 + 1104.33i 0.0813812 + 0.155797i
\(370\) −1071.77 2002.23i −0.150590 0.281326i
\(371\) 353.474 + 2004.65i 0.0494649 + 0.280529i
\(372\) 5151.01 918.406i 0.717924 0.128003i
\(373\) 8402.54 3058.28i 1.16640 0.424535i 0.315020 0.949085i \(-0.397989\pi\)
0.851380 + 0.524550i \(0.175766\pi\)
\(374\) 1710.76 8160.19i 0.236528 1.12822i
\(375\) −520.391 7855.06i −0.0716610 1.08169i
\(376\) 2982.08 + 4342.40i 0.409013 + 0.595592i
\(377\) 18302.1i 2.50028i
\(378\) −6284.46 3697.35i −0.855126 0.503098i
\(379\) 6105.87i 0.827540i −0.910381 0.413770i \(-0.864212\pi\)
0.910381 0.413770i \(-0.135788\pi\)
\(380\) 850.000 624.824i 0.114748 0.0843494i
\(381\) 4944.02 + 2433.80i 0.664803 + 0.327264i
\(382\) 4837.33 + 1014.13i 0.647904 + 0.135831i
\(383\) 6460.76 2351.52i 0.861957 0.313727i 0.127051 0.991896i \(-0.459449\pi\)
0.734906 + 0.678170i \(0.237226\pi\)
\(384\) 3865.13 + 6456.31i 0.513649 + 0.858000i
\(385\) 1599.76 + 9072.69i 0.211770 + 1.20101i
\(386\) −10823.7 + 5793.79i −1.42723 + 0.763980i
\(387\) 6859.30 + 6267.68i 0.900976 + 0.823266i
\(388\) 3772.43 5660.61i 0.493598 0.740654i
\(389\) −566.701 + 1557.00i −0.0738635 + 0.202938i −0.971130 0.238551i \(-0.923328\pi\)
0.897266 + 0.441489i \(0.145550\pi\)
\(390\) 6569.27 + 5141.74i 0.852943 + 0.667596i
\(391\) 6728.93 8019.22i 0.870324 1.03721i
\(392\) −86.6744 + 85.1114i −0.0111676 + 0.0109663i
\(393\) 11255.6 4962.04i 1.44471 0.636900i
\(394\) 10878.5 + 4360.01i 1.39100 + 0.557498i
\(395\) 2474.36 4285.72i 0.315186 0.545919i
\(396\) −6285.87 9354.48i −0.797669 1.18707i
\(397\) 1674.27 + 2899.92i 0.211660 + 0.366606i 0.952234 0.305369i \(-0.0987797\pi\)
−0.740574 + 0.671975i \(0.765446\pi\)
\(398\) 502.941 + 3507.70i 0.0633420 + 0.441771i
\(399\) 1258.18 + 365.766i 0.157864 + 0.0458927i
\(400\) −2039.90 + 457.402i −0.254987 + 0.0571752i
\(401\) −13677.2 2411.66i −1.70326 0.300331i −0.764430 0.644707i \(-0.776979\pi\)
−0.938832 + 0.344376i \(0.888091\pi\)
\(402\) −1800.51 2887.03i −0.223386 0.358190i
\(403\) −4779.20 5695.63i −0.590742 0.704019i
\(404\) −39.4370 + 613.025i −0.00485659 + 0.0754929i
\(405\) 2942.61 6357.02i 0.361035 0.779958i
\(406\) 517.152 16094.3i 0.0632163 1.96735i
\(407\) 3339.86 2802.48i 0.406759 0.341311i
\(408\) −3145.97 5850.29i −0.381737 0.709884i
\(409\) −1503.65 + 8527.62i −0.181787 + 1.03096i 0.748228 + 0.663441i \(0.230905\pi\)
−0.930015 + 0.367522i \(0.880206\pi\)
\(410\) −390.877 1191.69i −0.0470830 0.143545i
\(411\) 278.468 957.885i 0.0334205 0.114961i
\(412\) −6313.87 + 699.192i −0.755005 + 0.0836086i
\(413\) −8648.30 + 4993.10i −1.03040 + 0.594901i
\(414\) −1415.27 14079.5i −0.168012 1.67143i
\(415\) 1866.97 + 1077.90i 0.220834 + 0.127498i
\(416\) 5217.00 9333.89i 0.614867 1.10008i
\(417\) 2594.10 + 5884.33i 0.304637 + 0.691024i
\(418\) 1508.83 + 1350.96i 0.176553 + 0.158081i
\(419\) −76.7315 64.3854i −0.00894649 0.00750700i 0.638303 0.769785i \(-0.279637\pi\)
−0.647250 + 0.762278i \(0.724081\pi\)
\(420\) 5631.52 + 4707.11i 0.654261 + 0.546865i
\(421\) −8088.51 2943.98i −0.936365 0.340809i −0.171636 0.985160i \(-0.554905\pi\)
−0.764730 + 0.644351i \(0.777127\pi\)
\(422\) −4006.50 + 6451.65i −0.462164 + 0.744221i
\(423\) −6138.62 1351.85i −0.705603 0.155388i
\(424\) 1038.66 + 2281.38i 0.118967 + 0.261306i
\(425\) 1817.39 320.455i 0.207427 0.0365749i
\(426\) 7799.51 + 8677.51i 0.887060 + 0.986917i
\(427\) 3152.82 + 8662.31i 0.357320 + 0.981730i
\(428\) 2620.66 10766.0i 0.295968 1.21587i
\(429\) −7073.26 + 14368.6i −0.796038 + 1.61707i
\(430\) −5778.84 7354.27i −0.648094 0.824778i
\(431\) −6014.74 −0.672204 −0.336102 0.941826i \(-0.609109\pi\)
−0.336102 + 0.941826i \(0.609109\pi\)
\(432\) −8631.51 2473.57i −0.961305 0.275486i
\(433\) −6981.73 −0.774875 −0.387437 0.921896i \(-0.626640\pi\)
−0.387437 + 0.921896i \(0.626640\pi\)
\(434\) −4041.74 5143.60i −0.447027 0.568896i
\(435\) 15436.3 1022.64i 1.70141 0.112717i
\(436\) 919.439 3777.17i 0.100993 0.414894i
\(437\) 869.700 + 2389.48i 0.0952023 + 0.261566i
\(438\) −6572.32 + 1390.98i −0.716981 + 0.151743i
\(439\) −1124.05 + 198.201i −0.122205 + 0.0215481i −0.234416 0.972136i \(-0.575318\pi\)
0.112211 + 0.993684i \(0.464207\pi\)
\(440\) 4700.79 + 10325.1i 0.509321 + 1.11871i
\(441\) 6.11914 144.821i 0.000660743 0.0156377i
\(442\) −4979.67 + 8018.75i −0.535880 + 0.862925i
\(443\) −4495.50 1636.23i −0.482139 0.175484i 0.0895045 0.995986i \(-0.471472\pi\)
−0.571643 + 0.820502i \(0.693694\pi\)
\(444\) 596.634 3421.87i 0.0637725 0.365754i
\(445\) 3619.68 + 3037.27i 0.385594 + 0.323552i
\(446\) −11143.5 9977.63i −1.18310 1.05932i
\(447\) 5531.61 + 601.877i 0.585316 + 0.0636864i
\(448\) 4851.41 8060.52i 0.511624 0.850053i
\(449\) 10728.4 + 6194.02i 1.12762 + 0.651033i 0.943336 0.331839i \(-0.107669\pi\)
0.184287 + 0.982873i \(0.441003\pi\)
\(450\) 1404.29 2061.71i 0.147109 0.215978i
\(451\) 2085.14 1203.85i 0.217706 0.125692i
\(452\) 4363.41 483.200i 0.454066 0.0502828i
\(453\) −13785.8 + 3383.63i −1.42983 + 0.350942i
\(454\) 3661.11 + 11161.9i 0.378468 + 1.15386i
\(455\) 1811.12 10271.4i 0.186608 1.05831i
\(456\) 1612.78 + 48.7407i 0.165625 + 0.00500546i
\(457\) 4498.71 3774.87i 0.460484 0.386392i −0.382825 0.923821i \(-0.625049\pi\)
0.843309 + 0.537429i \(0.180604\pi\)
\(458\) 402.867 12537.6i 0.0411021 1.27914i
\(459\) 7510.85 + 2531.95i 0.763783 + 0.257475i
\(460\) −914.460 + 14214.8i −0.0926890 + 1.44080i
\(461\) −3282.64 3912.10i −0.331644 0.395238i 0.574294 0.818649i \(-0.305277\pi\)
−0.905937 + 0.423412i \(0.860832\pi\)
\(462\) −6626.01 + 12435.4i −0.667251 + 1.25227i
\(463\) 12453.4 + 2195.87i 1.25002 + 0.220412i 0.759205 0.650851i \(-0.225588\pi\)
0.490815 + 0.871264i \(0.336699\pi\)
\(464\) −4338.57 19348.9i −0.434080 1.93589i
\(465\) 4536.76 4349.11i 0.452445 0.433732i
\(466\) 201.797 + 1407.41i 0.0200602 + 0.139907i
\(467\) 9139.44 + 15830.0i 0.905617 + 1.56857i 0.820087 + 0.572239i \(0.193925\pi\)
0.0855298 + 0.996336i \(0.472742\pi\)
\(468\) 3065.06 + 12385.6i 0.302740 + 1.22335i
\(469\) −2126.96 + 3684.00i −0.209411 + 0.362710i
\(470\) 5873.16 + 2353.91i 0.576401 + 0.231016i
\(471\) 14216.7 + 10408.8i 1.39081 + 1.01828i
\(472\) −8774.34 + 8616.11i −0.855660 + 0.840230i
\(473\) 11541.8 13755.0i 1.12197 1.33711i
\(474\) 7020.30 2829.24i 0.680281 0.274159i
\(475\) −153.316 + 421.232i −0.0148097 + 0.0406894i
\(476\) −4605.54 + 6910.72i −0.443476 + 0.665446i
\(477\) −2765.02 1140.76i −0.265412 0.109500i
\(478\) 3922.13 2099.47i 0.375302 0.200894i
\(479\) −1196.57 6786.11i −0.114140 0.647318i −0.987173 0.159657i \(-0.948961\pi\)
0.873033 0.487661i \(-0.162150\pi\)
\(480\) 8163.88 + 3878.57i 0.776309 + 0.368816i
\(481\) −4638.23 + 1688.18i −0.439678 + 0.160030i
\(482\) −7113.18 1491.26i −0.672192 0.140923i
\(483\) −14703.1 + 9839.23i −1.38512 + 0.926916i
\(484\) −8969.06 + 6593.04i −0.842323 + 0.619181i
\(485\) 8170.72i 0.764976i
\(486\) 9536.88 4882.55i 0.890127 0.455714i
\(487\) 4509.20i 0.419571i −0.977747 0.209786i \(-0.932723\pi\)
0.977747 0.209786i \(-0.0672766\pi\)
\(488\) 6426.20 + 9357.63i 0.596108 + 0.868033i
\(489\) 14884.0 9960.28i 1.37643 0.921104i
\(490\) −29.9387 + 142.805i −0.00276019 + 0.0131659i
\(491\) 5554.97 2021.84i 0.510575 0.185834i −0.0738693 0.997268i \(-0.523535\pi\)
0.584444 + 0.811434i \(0.301313\pi\)
\(492\) 652.623 1803.78i 0.0598019 0.165286i
\(493\) 3039.59 + 17238.4i 0.277680 + 1.57480i
\(494\) −1082.05 2021.44i −0.0985503 0.184107i
\(495\) −12514.0 5162.86i −1.13628 0.468795i
\(496\) −6402.73 4888.49i −0.579619 0.442539i
\(497\) 4989.14 13707.5i 0.450289 1.23716i
\(498\) 1232.49 + 3058.23i 0.110902 + 0.275185i
\(499\) −4590.83 + 5471.13i −0.411851 + 0.490825i −0.931595 0.363497i \(-0.881583\pi\)
0.519745 + 0.854322i \(0.326027\pi\)
\(500\) −8370.68 + 8765.27i −0.748696 + 0.783990i
\(501\) −6536.11 4785.42i −0.582858 0.426740i
\(502\) −8032.51 + 20041.7i −0.714160 + 1.78188i
\(503\) −4814.95 + 8339.73i −0.426815 + 0.739265i −0.996588 0.0825370i \(-0.973698\pi\)
0.569773 + 0.821802i \(0.307031\pi\)
\(504\) 2345.34 + 10978.1i 0.207281 + 0.970249i
\(505\) 368.926 + 638.998i 0.0325089 + 0.0563070i
\(506\) −27068.8 + 3881.17i −2.37817 + 0.340986i
\(507\) 4847.55 4647.05i 0.424630 0.407067i
\(508\) −2383.93 8142.32i −0.208208 0.711135i
\(509\) 15088.6 + 2660.54i 1.31393 + 0.231682i 0.786329 0.617808i \(-0.211979\pi\)
0.527605 + 0.849490i \(0.323090\pi\)
\(510\) −7041.40 3751.89i −0.611369 0.325758i
\(511\) 5398.78 + 6434.02i 0.467374 + 0.556995i
\(512\) 3302.77 11104.5i 0.285085 0.958502i
\(513\) −1444.85 + 1272.49i −0.124350 + 0.109517i
\(514\) 4159.72 + 133.663i 0.356960 + 0.0114701i
\(515\) −5845.07 + 4904.60i −0.500126 + 0.419655i
\(516\) −27.3119 14305.3i −0.00233011 1.22046i
\(517\) −2109.31 + 11962.5i −0.179434 + 1.01762i
\(518\) −4126.41 + 1353.47i −0.350008 + 0.114803i
\(519\) −5081.09 + 1247.12i −0.429740 + 0.105477i
\(520\) −1002.94 12804.5i −0.0845808 1.07983i
\(521\) 1038.32 599.473i 0.0873119 0.0504096i −0.455708 0.890129i \(-0.650614\pi\)
0.543020 + 0.839720i \(0.317281\pi\)
\(522\) 19555.8 + 13320.1i 1.63972 + 1.11686i
\(523\) −3988.69 2302.87i −0.333486 0.192538i 0.323902 0.946091i \(-0.395005\pi\)
−0.657388 + 0.753552i \(0.728339\pi\)
\(524\) −17343.7 7606.45i −1.44592 0.634140i
\(525\) −3100.47 337.353i −0.257744 0.0280443i
\(526\) 2399.65 2680.05i 0.198916 0.222159i
\(527\) 5447.36 + 4570.88i 0.450267 + 0.377819i
\(528\) −4071.72 + 16867.2i −0.335604 + 1.39025i
\(529\) −20830.2 7581.58i −1.71203 0.623127i
\(530\) 2557.81 + 1588.41i 0.209631 + 0.130181i
\(531\) 619.461 14660.7i 0.0506258 1.19816i
\(532\) −894.404 1808.17i −0.0728897 0.147357i
\(533\) −2684.40 + 473.332i −0.218150 + 0.0384658i
\(534\) 1496.39 + 7070.42i 0.121265 + 0.572972i
\(535\) −4551.97 12506.4i −0.367848 1.01065i
\(536\) −1401.79 + 5047.40i −0.112963 + 0.406744i
\(537\) −16707.6 + 1106.86i −1.34262 + 0.0889471i
\(538\) 9415.35 7398.40i 0.754507 0.592877i
\(539\) −280.114 −0.0223847
\(540\) −10275.0 + 3277.18i −0.818826 + 0.261162i
\(541\) 21417.2 1.70202 0.851012 0.525145i \(-0.175989\pi\)
0.851012 + 0.525145i \(0.175989\pi\)
\(542\) −14728.7 + 11573.5i −1.16725 + 0.917205i
\(543\) −1516.74 + 3081.10i −0.119870 + 0.243504i
\(544\) −3363.63 + 9657.84i −0.265100 + 0.761170i
\(545\) −1597.03 4387.79i −0.125521 0.344867i
\(546\) 11864.1 10663.7i 0.929922 0.835832i
\(547\) 13460.6 2373.46i 1.05216 0.185525i 0.379286 0.925280i \(-0.376170\pi\)
0.672876 + 0.739755i \(0.265059\pi\)
\(548\) −1376.61 + 680.935i −0.107310 + 0.0530805i
\(549\) −13228.4 2913.16i −1.02837 0.226468i
\(550\) −4095.24 2543.16i −0.317494 0.197165i
\(551\) −3995.49 1454.24i −0.308918 0.112437i
\(552\) −14501.6 + 16258.5i −1.11817 + 1.25364i
\(553\) −7249.12 6082.73i −0.557439 0.467747i
\(554\) −8907.84 + 9948.74i −0.683137 + 0.762963i
\(555\) −1683.00 3817.64i −0.128720 0.291981i
\(556\) 3976.58 9067.12i 0.303317 0.691604i
\(557\) 3889.83 + 2245.79i 0.295902 + 0.170839i 0.640600 0.767874i \(-0.278686\pi\)
−0.344698 + 0.938713i \(0.612019\pi\)
\(558\) 9564.06 961.377i 0.725589 0.0729361i
\(559\) −17604.7 + 10164.1i −1.33202 + 0.769043i
\(560\) −520.148 11288.2i −0.0392505 0.851809i
\(561\) 4275.85 14708.2i 0.321794 1.10692i
\(562\) 16797.6 5509.65i 1.26079 0.413542i
\(563\) −263.958 + 1496.98i −0.0197593 + 0.112061i −0.993092 0.117337i \(-0.962564\pi\)
0.973333 + 0.229397i \(0.0736755\pi\)
\(564\) 4854.73 + 8371.69i 0.362449 + 0.625021i
\(565\) 4039.43 3389.49i 0.300779 0.252384i
\(566\) 23526.6 + 755.974i 1.74717 + 0.0561413i
\(567\) −10994.3 7652.30i −0.814312 0.566784i
\(568\) 1728.36 17880.0i 0.127677 1.32082i
\(569\) 9677.56 + 11533.3i 0.713013 + 0.849735i 0.993932 0.109996i \(-0.0350838\pi\)
−0.280919 + 0.959731i \(0.590639\pi\)
\(570\) 1644.46 1025.57i 0.120840 0.0753623i
\(571\) −6147.94 1084.05i −0.450584 0.0794501i −0.0562486 0.998417i \(-0.517914\pi\)
−0.394335 + 0.918967i \(0.629025\pi\)
\(572\) 23663.7 6928.32i 1.72977 0.506447i
\(573\) 8718.98 + 2534.70i 0.635673 + 0.184797i
\(574\) −2373.95 + 340.381i −0.172625 + 0.0247513i
\(575\) −3026.31 5241.72i −0.219488 0.380165i
\(576\) 6176.42 + 12367.5i 0.446790 + 0.894639i
\(577\) −2246.17 + 3890.48i −0.162061 + 0.280698i −0.935608 0.353041i \(-0.885148\pi\)
0.773547 + 0.633739i \(0.218481\pi\)
\(578\) −1811.15 + 4518.94i −0.130335 + 0.325195i
\(579\) −20637.5 + 9098.04i −1.48129 + 0.653026i
\(580\) −17225.0 16449.6i −1.23316 1.17764i
\(581\) 2649.79 3157.90i 0.189212 0.225494i
\(582\) 7702.51 9840.99i 0.548590 0.700897i
\(583\) −1976.96 + 5431.65i −0.140441 + 0.385859i
\(584\) 8418.07 + 6009.28i 0.596477 + 0.425797i
\(585\) 11313.8 + 10338.0i 0.799603 + 0.730637i
\(586\) −1378.06 2574.44i −0.0971456 0.181483i
\(587\) 313.508 + 1777.99i 0.0220440 + 0.125018i 0.993844 0.110789i \(-0.0353378\pi\)
−0.971800 + 0.235807i \(0.924227\pi\)
\(588\) −170.681 + 143.774i −0.0119707 + 0.0100836i
\(589\) −1623.15 + 590.777i −0.113549 + 0.0413286i
\(590\) −3030.80 + 14456.6i −0.211485 + 1.00876i
\(591\) 19316.8 + 9509.14i 1.34448 + 0.661851i
\(592\) −4503.34 + 2884.24i −0.312645 + 0.200239i
\(593\) 14057.3i 0.973467i 0.873551 + 0.486733i \(0.161812\pi\)
−0.873551 + 0.486733i \(0.838188\pi\)
\(594\) −10205.1 18015.1i −0.704913 1.24439i
\(595\) 9975.18i 0.687299i
\(596\) −5073.93 6902.48i −0.348718 0.474390i
\(597\) 430.336 + 6495.72i 0.0295016 + 0.445313i
\(598\) 30299.7 + 6352.26i 2.07199 + 0.434387i
\(599\) −5522.78 + 2010.13i −0.376719 + 0.137115i −0.523438 0.852064i \(-0.675351\pi\)
0.146719 + 0.989178i \(0.453129\pi\)
\(600\) −3800.66 + 552.353i −0.258602 + 0.0375829i
\(601\) 4772.36 + 27065.4i 0.323908 + 1.83697i 0.517243 + 0.855838i \(0.326958\pi\)
−0.193336 + 0.981133i \(0.561931\pi\)
\(602\) −15768.2 + 8440.53i −1.06755 + 0.571445i
\(603\) −2894.06 5540.41i −0.195448 0.374167i
\(604\) 18186.1 + 12119.8i 1.22513 + 0.816471i
\(605\) −4573.01 + 12564.2i −0.307305 + 0.844313i
\(606\) −158.039 + 1117.41i −0.0105939 + 0.0749035i
\(607\) −6406.53 + 7635.01i −0.428391 + 0.510536i −0.936457 0.350782i \(-0.885916\pi\)
0.508067 + 0.861318i \(0.330360\pi\)
\(608\) −1623.13 1880.56i −0.108268 0.125439i
\(609\) 3199.87 29408.8i 0.212915 1.95682i
\(610\) 12656.3 + 5072.53i 0.840065 + 0.336690i
\(611\) 6875.94 11909.5i 0.455272 0.788553i
\(612\) −4943.91 11156.7i −0.326545 0.736903i
\(613\) −2983.90 5168.26i −0.196604 0.340529i 0.750821 0.660506i \(-0.229658\pi\)
−0.947425 + 0.319977i \(0.896325\pi\)
\(614\) 2157.86 + 15049.7i 0.141831 + 0.989180i
\(615\) −549.209 2237.62i −0.0360102 0.146715i
\(616\) 21004.8 5423.89i 1.37388 0.354764i
\(617\) −13038.2 2298.98i −0.850723 0.150005i −0.268747 0.963211i \(-0.586609\pi\)
−0.581977 + 0.813205i \(0.697721\pi\)
\(618\) −11663.5 + 397.071i −0.759181 + 0.0258455i
\(619\) 329.796 + 393.035i 0.0214146 + 0.0255209i 0.776645 0.629938i \(-0.216920\pi\)
−0.755231 + 0.655459i \(0.772475\pi\)
\(620\) −9655.91 621.182i −0.625469 0.0402375i
\(621\) −621.884 25988.7i −0.0401857 1.67937i
\(622\) 176.009 5477.58i 0.0113462 0.353104i
\(623\) 6921.63 5807.94i 0.445119 0.373499i
\(624\) 10862.8 16367.4i 0.696889 1.05004i
\(625\) −1818.95 + 10315.8i −0.116413 + 0.660209i
\(626\) 2128.41 + 6489.02i 0.135892 + 0.414302i
\(627\) 2574.76 + 2685.84i 0.163997 + 0.171072i
\(628\) −2985.82 26962.7i −0.189725 1.71326i
\(629\) 4088.29 2360.37i 0.259158 0.149625i
\(630\) 9656.88 + 9410.57i 0.610697 + 0.595121i
\(631\) −5356.56 3092.61i −0.337942 0.195111i 0.321420 0.946937i \(-0.395840\pi\)
−0.659362 + 0.751826i \(0.729173\pi\)
\(632\) −10516.1 5020.74i −0.661881 0.316003i
\(633\) −8241.99 + 11257.2i −0.517519 + 0.706848i
\(634\) −1168.34 1046.10i −0.0731874 0.0655300i
\(635\) −7806.47 6550.41i −0.487859 0.409362i
\(636\) 1583.29 + 4324.35i 0.0987132 + 0.269610i
\(637\) 297.998 + 108.462i 0.0185355 + 0.00674636i
\(638\) 24122.5 38844.3i 1.49689 2.41044i
\(639\) 13072.5 + 16986.9i 0.809294 + 1.05163i
\(640\) −4095.65 13299.1i −0.252961 0.821396i
\(641\) 17534.2 3091.75i 1.08043 0.190510i 0.395027 0.918670i \(-0.370735\pi\)
0.685407 + 0.728160i \(0.259624\pi\)
\(642\) 6307.28 19354.1i 0.387739 1.18979i
\(643\) −4994.86 13723.3i −0.306342 0.841669i −0.993362 0.115030i \(-0.963304\pi\)
0.687020 0.726639i \(-0.258919\pi\)
\(644\) 26465.1 + 6442.14i 1.61937 + 0.394186i
\(645\) −9556.25 14280.2i −0.583375 0.871756i
\(646\) 1354.88 + 1724.25i 0.0825188 + 0.105015i
\(647\) −7016.36 −0.426340 −0.213170 0.977015i \(-0.568379\pi\)
−0.213170 + 0.977015i \(0.568379\pi\)
\(648\) −15464.8 5739.11i −0.937523 0.347922i
\(649\) −28356.9 −1.71511
\(650\) 3371.96 + 4291.23i 0.203476 + 0.258947i
\(651\) −6683.67 9987.62i −0.402387 0.601299i
\(652\) −26790.7 6521.40i −1.60921 0.391714i
\(653\) 7805.27 + 21444.8i 0.467755 + 1.28515i 0.919532 + 0.393015i \(0.128568\pi\)
−0.451778 + 0.892131i \(0.649210\pi\)
\(654\) 2212.86 6790.26i 0.132309 0.405994i
\(655\) −22402.1 + 3950.09i −1.33637 + 0.235638i
\(656\) −2725.73 + 1136.75i −0.162229 + 0.0676565i
\(657\) −12233.7 + 1628.09i −0.726458 + 0.0966787i
\(658\) 6383.01 10278.5i 0.378169 0.608965i
\(659\) −1097.14 399.326i −0.0648536 0.0236048i 0.309390 0.950935i \(-0.399875\pi\)
−0.374243 + 0.927331i \(0.622097\pi\)
\(660\) 7165.69 + 19571.2i 0.422613 + 1.15426i
\(661\) −4145.23 3478.26i −0.243919 0.204673i 0.512629 0.858610i \(-0.328672\pi\)
−0.756549 + 0.653937i \(0.773116\pi\)
\(662\) 11961.9 + 10710.4i 0.702286 + 0.628809i
\(663\) −10244.0 + 13991.6i −0.600064 + 0.819591i
\(664\) 2187.16 4581.10i 0.127829 0.267743i
\(665\) −2098.41 1211.52i −0.122365 0.0706477i
\(666\) 1571.83 6184.60i 0.0914521 0.359832i
\(667\) 49719.0 28705.3i 2.88625 1.66638i
\(668\) 1372.73 + 12396.0i 0.0795095 + 0.717990i
\(669\) −19016.0 19836.5i −1.09896 1.14637i
\(670\) 1961.02 + 5978.71i 0.113076 + 0.344743i
\(671\) −4545.45 + 25778.5i −0.261513 + 1.48311i
\(672\) 10014.9 14086.1i 0.574898 0.808604i
\(673\) 13193.5 11070.7i 0.755682 0.634092i −0.181317 0.983425i \(-0.558036\pi\)
0.936999 + 0.349332i \(0.113592\pi\)
\(674\) −578.995 + 18018.9i −0.0330891 + 1.02976i
\(675\) 2860.91 3580.05i 0.163136 0.204143i
\(676\) −10317.4 663.736i −0.587016 0.0377638i
\(677\) 18209.5 + 21701.2i 1.03375 + 1.23197i 0.972270 + 0.233863i \(0.0751366\pi\)
0.0614768 + 0.998109i \(0.480419\pi\)
\(678\) 8060.43 274.409i 0.456577 0.0155437i
\(679\) −15386.9 2713.12i −0.869651 0.153343i
\(680\) 3071.21 + 11893.7i 0.173199 + 0.670740i
\(681\) 5144.12 + 20958.5i 0.289462 + 1.17934i
\(682\) −2636.43 18387.5i −0.148027 1.03239i
\(683\) −7084.51 12270.7i −0.396898 0.687447i 0.596444 0.802655i \(-0.296580\pi\)
−0.993341 + 0.115208i \(0.963247\pi\)
\(684\) 2947.43 + 315.007i 0.164763 + 0.0176091i
\(685\) −922.364 + 1597.58i −0.0514478 + 0.0891101i
\(686\) 16805.8 + 6735.58i 0.935345 + 0.374877i
\(687\) 2492.74 22909.7i 0.138434 1.27229i
\(688\) −16202.2 + 14918.7i −0.897826 + 0.826701i
\(689\) 4206.35 5012.93i 0.232582 0.277181i
\(690\) −3664.59 + 25910.3i −0.202187 + 1.42955i
\(691\) −7526.42 + 20678.7i −0.414354 + 1.13843i 0.540498 + 0.841345i \(0.318236\pi\)
−0.954852 + 0.297083i \(0.903986\pi\)
\(692\) 6702.91 + 4467.05i 0.368217 + 0.245393i
\(693\) −13877.8 + 21851.6i −0.760715 + 1.19780i
\(694\) −6801.01 + 3640.49i −0.371993 + 0.199123i
\(695\) −2065.07 11711.6i −0.112709 0.639202i
\(696\) −5239.20 36050.2i −0.285333 1.96333i
\(697\) 2449.77 891.644i 0.133130 0.0484554i
\(698\) −18918.3 3966.18i −1.02589 0.215074i
\(699\) 172.665 + 2606.30i 0.00934306 + 0.141029i
\(700\) 2843.94 + 3868.85i 0.153558 + 0.208898i
\(701\) 16174.8i 0.871486i −0.900071 0.435743i \(-0.856486\pi\)
0.900071 0.435743i \(-0.143514\pi\)
\(702\) 3881.00 + 23116.7i 0.208659 + 1.24286i
\(703\) 1146.70i 0.0615201i
\(704\) 23374.8 12934.2i 1.25138 0.692435i
\(705\) 10428.9 + 5133.84i 0.557126 + 0.274258i
\(706\) −2591.26 + 12360.1i −0.138135 + 0.658893i
\(707\) 1325.84 482.568i 0.0705283 0.0256702i
\(708\) −17278.6 + 14554.7i −0.917186 + 0.772599i
\(709\) −263.961 1497.00i −0.0139820 0.0792960i 0.977018 0.213155i \(-0.0683741\pi\)
−0.991000 + 0.133859i \(0.957263\pi\)
\(710\) −10182.6 19022.6i −0.538232 1.00550i
\(711\) 13255.6 4199.97i 0.699191 0.221535i
\(712\) 6464.70 9056.05i 0.340274 0.476671i
\(713\) 7976.84 21916.2i 0.418983 1.15115i
\(714\) −9403.56 + 12014.3i −0.492885 + 0.629726i
\(715\) 19037.2 22687.6i 0.995734 1.18667i
\(716\) 18643.6 + 17804.3i 0.973105 + 0.929298i
\(717\) 7478.32 3296.81i 0.389516 0.171718i
\(718\) 4967.33 12393.8i 0.258188 0.644198i
\(719\) −17615.4 + 30510.7i −0.913688 + 1.58255i −0.104878 + 0.994485i \(0.533445\pi\)
−0.808811 + 0.588069i \(0.799888\pi\)
\(720\) 14411.6 + 8247.31i 0.745955 + 0.426888i
\(721\) 7295.31 + 12635.9i 0.376826 + 0.652682i
\(722\) 18676.5 2677.87i 0.962698 0.138033i
\(723\) −12821.0 3727.22i −0.659502 0.191725i
\(724\) 5074.27 1485.66i 0.260475 0.0762626i
\(725\) 9966.92 + 1757.44i 0.510569 + 0.0900270i
\(726\) −17352.1 + 10821.7i −0.887047 + 0.553209i
\(727\) 1770.47 + 2109.96i 0.0903205 + 0.107640i 0.809312 0.587379i \(-0.199840\pi\)
−0.718991 + 0.695019i \(0.755396\pi\)
\(728\) −24446.0 2363.06i −1.24455 0.120303i
\(729\) 18152.8 7608.95i 0.922258 0.386575i
\(730\) 12416.8 + 398.987i 0.629546 + 0.0202290i
\(731\) 14893.5 12497.1i 0.753565 0.632316i
\(732\) 10461.7 + 18040.5i 0.528244 + 0.910925i
\(733\) 6630.40 37602.8i 0.334105 1.89481i −0.101785 0.994806i \(-0.532455\pi\)
0.435891 0.900000i \(-0.356433\pi\)
\(734\) −12932.1 + 4241.76i −0.650319 + 0.213306i
\(735\) −74.8282 + 257.397i −0.00375521 + 0.0129173i
\(736\) 33538.6 467.048i 1.67969 0.0233908i
\(737\) −10461.1 + 6039.72i −0.522849 + 0.301867i
\(738\) 1447.92 3212.77i 0.0722203 0.160249i
\(739\) 22736.8 + 13127.1i 1.13178 + 0.653435i 0.944383 0.328848i \(-0.106660\pi\)
0.187400 + 0.982284i \(0.439994\pi\)
\(740\) −2579.93 + 5882.57i −0.128162 + 0.292227i
\(741\) −1699.16 3854.28i −0.0842377 0.191080i
\(742\) 3840.58 4289.36i 0.190016 0.212220i
\(743\) −13911.0 11672.7i −0.686871 0.576353i 0.231134 0.972922i \(-0.425756\pi\)
−0.918005 + 0.396569i \(0.870201\pi\)
\(744\) −11044.2 9850.75i −0.544220 0.485411i
\(745\) −9669.30 3519.34i −0.475511 0.173072i
\(746\) −21485.4 13342.5i −1.05447 0.654832i
\(747\) 1829.62 + 5774.49i 0.0896146 + 0.282835i
\(748\) −21137.7 + 10455.7i −1.03325 + 0.511093i
\(749\) −25063.2 + 4419.32i −1.22268 + 0.215592i
\(750\) −16560.0 + 14884.5i −0.806249 + 0.724672i
\(751\) −2978.78 8184.14i −0.144737 0.397661i 0.846048 0.533107i \(-0.178976\pi\)
−0.990785 + 0.135446i \(0.956753\pi\)
\(752\) 4446.05 14220.6i 0.215599 0.689592i
\(753\) −17518.8 + 35587.7i −0.847837 + 1.72229i
\(754\) −40703.4 + 31983.9i −1.96595 + 1.54481i
\(755\) 26250.4 1.26537
\(756\) 2759.63 + 20437.8i 0.132760 + 0.983221i
\(757\) 11747.3 0.564019 0.282010 0.959412i \(-0.408999\pi\)
0.282010 + 0.959412i \(0.408999\pi\)
\(758\) −13579.3 + 10670.3i −0.650689 + 0.511299i
\(759\) −50127.2 + 3320.88i −2.39724 + 0.158815i
\(760\) −2875.01 798.462i −0.137221 0.0381096i
\(761\) −344.513 946.541i −0.0164107 0.0450881i 0.931217 0.364466i \(-0.118748\pi\)
−0.947628 + 0.319378i \(0.896526\pi\)
\(762\) −3227.23 15248.6i −0.153425 0.724931i
\(763\) −8793.26 + 1550.49i −0.417218 + 0.0735668i
\(764\) −6198.09 12530.3i −0.293507 0.593366i
\(765\) −12373.2 7858.15i −0.584774 0.371388i
\(766\) −16520.3 10259.1i −0.779244 0.483914i
\(767\) 30167.3 + 10980.0i 1.42018 + 0.516903i
\(768\) 7604.14 19878.7i 0.357279 0.933998i
\(769\) −155.666 130.619i −0.00729969 0.00612517i 0.639130 0.769098i \(-0.279294\pi\)
−0.646430 + 0.762973i \(0.723739\pi\)
\(770\) 17381.8 19412.8i 0.813500 0.908559i
\(771\) 7600.97 + 827.038i 0.355048 + 0.0386317i
\(772\) 31800.2 + 13946.7i 1.48253 + 0.650196i
\(773\) 29447.0 + 17001.2i 1.37016 + 0.791063i 0.990948 0.134247i \(-0.0428616\pi\)
0.379213 + 0.925310i \(0.376195\pi\)
\(774\) 1952.15 26208.0i 0.0906573 1.21709i
\(775\) 3560.64 2055.73i 0.165035 0.0952828i
\(776\) −19181.6 + 1502.45i −0.887342 + 0.0695034i
\(777\) −7748.10 + 1901.72i −0.357737 + 0.0878042i
\(778\) 4453.06 1460.61i 0.205206 0.0673078i
\(779\) −109.964 + 623.635i −0.00505759 + 0.0286830i
\(780\) −45.0484 23595.3i −0.00206794 1.08314i
\(781\) 31731.2 26625.6i 1.45382 1.21990i
\(782\) −29593.7 950.925i −1.35328 0.0434847i
\(783\) 33957.7 + 27136.4i 1.54987 + 1.23854i
\(784\) 340.754 + 44.0248i 0.0155227 + 0.00200550i
\(785\) −20944.5 24960.7i −0.952284 1.13489i
\(786\) −30705.2 16360.8i −1.39341 0.742455i
\(787\) −40818.5 7197.41i −1.84882 0.325997i −0.864535 0.502573i \(-0.832387\pi\)
−0.984287 + 0.176575i \(0.943498\pi\)
\(788\) −9314.29 31812.9i −0.421076 1.43818i
\(789\) 4770.73 4573.40i 0.215263 0.206359i
\(790\) −13855.4 + 1986.61i −0.623991 + 0.0894691i
\(791\) −5041.67 8732.43i −0.226626 0.392528i
\(792\) −9819.22 + 30327.1i −0.440544 + 1.36064i
\(793\) 14817.3 25664.3i 0.663527 1.14926i
\(794\) 3523.46 8791.29i 0.157485 0.392936i
\(795\) 4463.03 + 3267.61i 0.199104 + 0.145774i
\(796\) 6922.11 7248.42i 0.308226 0.322756i
\(797\) −19521.2 + 23264.5i −0.867600 + 1.03396i 0.131491 + 0.991317i \(0.458024\pi\)
−0.999090 + 0.0426476i \(0.986421\pi\)
\(798\) −1385.28 3437.34i −0.0614515 0.152482i
\(799\) −4498.40 + 12359.3i −0.199176 + 0.547233i
\(800\) 4582.08 + 3737.34i 0.202501 + 0.165169i
\(801\) 1751.48 + 13160.9i 0.0772603 + 0.580545i
\(802\) 18538.2 + 34632.3i 0.816218 + 1.52482i
\(803\) 4141.49 + 23487.6i 0.182005 + 1.03220i
\(804\) −3274.20 + 9049.52i −0.143622 + 0.396955i
\(805\) 30743.5 11189.7i 1.34605 0.489920i
\(806\) −4315.02 + 20582.2i −0.188573 + 0.899477i
\(807\) 18282.3 12234.4i 0.797482 0.533672i
\(808\) 1432.27 983.588i 0.0623602 0.0428249i
\(809\) 17775.6i 0.772504i −0.922393 0.386252i \(-0.873769\pi\)
0.922393 0.386252i \(-0.126231\pi\)
\(810\) −19280.2 + 4564.97i −0.836343 + 0.198020i
\(811\) 34652.0i 1.50037i 0.661230 + 0.750184i \(0.270035\pi\)
−0.661230 + 0.750184i \(0.729965\pi\)
\(812\) −36697.0 + 26975.5i −1.58597 + 1.16583i
\(813\) −28599.5 + 19138.7i −1.23374 + 0.825612i
\(814\) −12069.2 2530.28i −0.519688 0.108951i
\(815\) −31121.7 + 11327.4i −1.33760 + 0.486848i
\(816\) −7513.14 + 17220.3i −0.322319 + 0.738762i
\(817\) 820.073 + 4650.86i 0.0351171 + 0.199159i
\(818\) 21592.9 11558.4i 0.922956 0.494047i
\(819\) 23224.9 17873.0i 0.990897 0.762557i
\(820\) −1967.21 + 2951.84i −0.0837781 + 0.125711i
\(821\) −855.115 + 2349.41i −0.0363504 + 0.0998720i −0.956540 0.291601i \(-0.905812\pi\)
0.920190 + 0.391473i \(0.128034\pi\)
\(822\) −2616.95 + 1054.65i −0.111042 + 0.0447508i
\(823\) −4403.51 + 5247.90i −0.186509 + 0.222273i −0.851194 0.524851i \(-0.824121\pi\)
0.664685 + 0.747123i \(0.268566\pi\)
\(824\) 12588.8 + 12820.0i 0.532224 + 0.541998i
\(825\) −7145.63 5231.67i −0.301550 0.220780i
\(826\) 26217.9 + 10507.9i 1.10440 + 0.442634i
\(827\) 13397.3 23204.8i 0.563325 0.975708i −0.433878 0.900972i \(-0.642855\pi\)
0.997203 0.0747363i \(-0.0238115\pi\)
\(828\) −28839.2 + 27752.3i −1.21043 + 1.16480i
\(829\) −5067.40 8777.00i −0.212302 0.367717i 0.740133 0.672461i \(-0.234763\pi\)
−0.952435 + 0.304743i \(0.901429\pi\)
\(830\) −865.421 6035.77i −0.0361918 0.252415i
\(831\) −17709.6 + 16977.1i −0.739278 + 0.708701i
\(832\) −29875.3 + 4709.02i −1.24488 + 0.196221i
\(833\) −298.691 52.6673i −0.0124238 0.00219065i
\(834\) 8553.25 16052.4i 0.355126 0.666486i
\(835\) 9629.21 + 11475.6i 0.399081 + 0.475606i
\(836\) 367.751 5716.47i 0.0152140 0.236493i
\(837\) 17653.8 422.438i 0.729037 0.0174452i
\(838\) −9.09888 + 283.166i −0.000375078 + 0.0116728i
\(839\) 5834.62 4895.83i 0.240087 0.201457i −0.514802 0.857309i \(-0.672135\pi\)
0.754890 + 0.655852i \(0.227690\pi\)
\(840\) 627.107 20750.3i 0.0257586 0.852324i
\(841\) −12434.6 + 70520.2i −0.509845 + 2.89148i
\(842\) 7587.78 + 23133.4i 0.310561 + 0.946828i
\(843\) 31540.7 7741.45i 1.28863 0.316287i
\(844\) 21349.9 2364.26i 0.870726 0.0964233i
\(845\) −10754.5 + 6209.12i −0.437830 + 0.252782i
\(846\) 7721.09 + 16014.6i 0.313778 + 0.650818i
\(847\) 22142.1 + 12783.8i 0.898243 + 0.518601i
\(848\) 3258.61 6296.79i 0.131959 0.254991i
\(849\) 42989.8 + 4677.58i 1.73782 + 0.189086i
\(850\) −3888.67 3481.81i −0.156918 0.140500i
\(851\) −11860.7 9952.33i −0.477768 0.400895i
\(852\) 5668.47 32510.3i 0.227933 1.30726i
\(853\) −35678.2 12985.8i −1.43212 0.521249i −0.494582 0.869131i \(-0.664679\pi\)
−0.937538 + 0.347882i \(0.886901\pi\)
\(854\) 13755.0 22149.6i 0.551156 0.887524i
\(855\) 3155.83 1648.46i 0.126230 0.0659370i
\(856\) −28523.0 + 12985.9i −1.13890 + 0.518514i
\(857\) −33496.9 + 5906.41i −1.33516 + 0.235425i −0.795242 0.606292i \(-0.792656\pi\)
−0.539919 + 0.841717i \(0.681545\pi\)
\(858\) 44316.3 9379.16i 1.76333 0.373193i
\(859\) −7493.33 20587.8i −0.297636 0.817748i −0.994894 0.100928i \(-0.967819\pi\)
0.697258 0.716820i \(-0.254403\pi\)
\(860\) −6256.86 + 25704.0i −0.248090 + 1.01918i
\(861\) −4396.19 + 291.244i −0.174009 + 0.0115279i
\(862\) 10511.1 + 13376.6i 0.415324 + 0.528549i
\(863\) 22243.3 0.877371 0.438685 0.898641i \(-0.355444\pi\)
0.438685 + 0.898641i \(0.355444\pi\)
\(864\) 9582.87 + 23519.0i 0.377333 + 0.926078i
\(865\) 9675.22 0.380309
\(866\) 12201.0 + 15527.2i 0.478759 + 0.609278i
\(867\) −3950.09 + 8024.20i −0.154731 + 0.314321i
\(868\) −4376.07 + 17977.4i −0.171122 + 0.702989i
\(869\) −9190.54 25250.8i −0.358766 0.985702i
\(870\) −29250.1 32542.8i −1.13985 1.26817i
\(871\) 13467.6 2374.70i 0.523918 0.0923808i
\(872\) −10007.1 + 4556.01i −0.388627 + 0.176933i
\(873\) 15486.6 16948.5i 0.600393 0.657066i
\(874\) 3794.29 6109.94i 0.146847 0.236467i
\(875\) 26159.3 + 9521.20i 1.01068 + 0.367857i
\(876\) 14579.0 + 12185.9i 0.562304 + 0.470002i
\(877\) −545.564 457.783i −0.0210062 0.0176263i 0.632224 0.774786i \(-0.282142\pi\)
−0.653230 + 0.757159i \(0.726587\pi\)
\(878\) 2405.14 + 2153.50i 0.0924482 + 0.0827757i
\(879\) −2163.99 4908.68i −0.0830370 0.188357i
\(880\) 14747.9 28498.1i 0.564944 1.09167i
\(881\) −31196.8 18011.5i −1.19302 0.688788i −0.234026 0.972230i \(-0.575190\pi\)
−0.958989 + 0.283442i \(0.908524\pi\)
\(882\) −332.772 + 239.474i −0.0127041 + 0.00914229i
\(883\) 3585.39 2070.02i 0.136645 0.0788923i −0.430119 0.902772i \(-0.641528\pi\)
0.566764 + 0.823880i \(0.308195\pi\)
\(884\) 26535.7 2938.54i 1.00961 0.111803i
\(885\) −7575.10 + 26057.1i −0.287722 + 0.989719i
\(886\) 4217.20 + 12857.3i 0.159909 + 0.487526i
\(887\) 7361.54 41749.4i 0.278665 1.58039i −0.448407 0.893830i \(-0.648008\pi\)
0.727072 0.686561i \(-0.240880\pi\)
\(888\) −8652.79 + 4653.00i −0.326992 + 0.175839i
\(889\) −14927.7 + 12525.8i −0.563171 + 0.472556i
\(890\) 429.224 13357.9i 0.0161659 0.503098i
\(891\) −16172.0 34428.0i −0.608061 1.29448i
\(892\) −2716.05 + 42219.4i −0.101951 + 1.58476i
\(893\) −2053.59 2447.37i −0.0769549 0.0917113i
\(894\) −8328.23 13354.0i −0.311563 0.499579i
\(895\) 30494.2 + 5376.95i 1.13889 + 0.200817i
\(896\) −26404.5 + 3296.79i −0.984499 + 0.122922i
\(897\) 54613.3 + 15876.7i 2.03287 + 0.590979i
\(898\) −4973.05 34684.0i −0.184803 1.28889i
\(899\) 19499.1 + 33773.5i 0.723396 + 1.25296i
\(900\) −7039.27 + 479.846i −0.260714 + 0.0177721i
\(901\) −3129.33 + 5420.17i −0.115708 + 0.200413i
\(902\) −6321.22 2533.49i −0.233341 0.0935209i
\(903\) −30065.2 + 13254.2i −1.10798 + 0.488454i
\(904\) −8699.92 8859.69i −0.320083 0.325961i
\(905\) 4082.20 4864.97i 0.149941 0.178693i
\(906\) 31616.5 + 24746.2i 1.15937 + 0.907435i
\(907\) 15323.6 42101.2i 0.560983 1.54129i −0.257217 0.966354i \(-0.582806\pi\)
0.818200 0.574934i \(-0.194972\pi\)
\(908\) 18425.7 27648.2i 0.673435 1.01050i
\(909\) −445.886 + 2024.72i −0.0162696 + 0.0738787i
\(910\) −26008.3 + 13921.9i −0.947435 + 0.507149i
\(911\) 699.143 + 3965.03i 0.0254266 + 0.144201i 0.994878 0.101081i \(-0.0322303\pi\)
−0.969452 + 0.245283i \(0.921119\pi\)
\(912\) −2710.01 3671.95i −0.0983964 0.133323i
\(913\) 10999.9 4003.64i 0.398734 0.145127i
\(914\) −16257.0 3408.23i −0.588329 0.123342i
\(915\) 22473.6 + 11063.1i 0.811973 + 0.399712i
\(916\) −28587.3 + 21014.2i −1.03117 + 0.758001i
\(917\) 43498.5i 1.56646i
\(918\) −7494.64 21128.6i −0.269455 0.759639i
\(919\) 6078.79i 0.218195i −0.994031 0.109097i \(-0.965204\pi\)
0.994031 0.109097i \(-0.0347960\pi\)
\(920\) 33211.3 22807.3i 1.19016 0.817320i
\(921\) 1846.35 + 27869.7i 0.0660577 + 0.997111i
\(922\) −2963.81 + 14137.1i −0.105865 + 0.504968i
\(923\) −44066.6 + 16038.9i −1.57147 + 0.571970i
\(924\) 39235.4 6995.51i 1.39691 0.249064i
\(925\) −473.964 2687.98i −0.0168474 0.0955464i
\(926\) −16879.5 31533.5i −0.599021 1.11907i
\(927\) −21420.5 905.082i −0.758943 0.0320677i
\(928\) −35449.6 + 43462.2i −1.25398 + 1.53741i
\(929\) −4884.03 + 13418.8i −0.172487 + 0.473903i −0.995571 0.0940167i \(-0.970029\pi\)
0.823084 + 0.567919i \(0.192252\pi\)
\(930\) −17600.5 2489.31i −0.620585 0.0877719i
\(931\) 47.3563 56.4371i 0.00166707 0.00198674i
\(932\) 2777.38 2908.31i 0.0976140 0.102216i
\(933\) 1089.06 10009.1i 0.0382144 0.351214i
\(934\) 19233.8 47989.6i 0.673821 1.68123i
\(935\) −14162.8 + 24530.7i −0.495372 + 0.858010i
\(936\) 22189.0 28461.2i 0.774860 0.993892i
\(937\) −2706.09 4687.08i −0.0943479 0.163415i 0.814988 0.579477i \(-0.196743\pi\)
−0.909336 + 0.416062i \(0.863410\pi\)
\(938\) 11910.1 1707.69i 0.414582 0.0594436i
\(939\) 2990.56 + 12184.3i 0.103933 + 0.423451i
\(940\) −5028.64 17175.3i −0.174485 0.595955i
\(941\) −13288.4 2343.10i −0.460350 0.0811722i −0.0613365 0.998117i \(-0.519536\pi\)
−0.399014 + 0.916945i \(0.630647\pi\)
\(942\) −1695.65 49807.5i −0.0586488 1.72274i
\(943\) −5496.09 6549.99i −0.189796 0.226190i
\(944\) 34495.6 + 4456.77i 1.18934 + 0.153661i
\(945\) 16372.1 + 18589.7i 0.563583 + 0.639917i
\(946\) −50760.7 1631.08i −1.74458 0.0560580i
\(947\) 22200.6 18628.5i 0.761798 0.639225i −0.176796 0.984248i \(-0.556573\pi\)
0.938594 + 0.345023i \(0.112129\pi\)
\(948\) −18560.5 10668.7i −0.635883 0.365510i
\(949\) 4688.66 26590.7i 0.160380 0.909559i
\(950\) 1204.74 395.156i 0.0411440 0.0134953i
\(951\) −1993.73 2079.75i −0.0679822 0.0709154i
\(952\) 23417.7 1834.25i 0.797239 0.0624459i
\(953\) 12811.8 7396.90i 0.435483 0.251426i −0.266197 0.963919i \(-0.585767\pi\)
0.701680 + 0.712493i \(0.252434\pi\)
\(954\) 2295.00 + 8142.85i 0.0778862 + 0.276347i
\(955\) −14541.7 8395.65i −0.492731 0.284479i
\(956\) −11523.3 5053.78i −0.389843 0.170974i
\(957\) 49623.7 67778.0i 1.67618 2.28940i
\(958\) −13001.0 + 14520.2i −0.438460 + 0.489695i
\(959\) 2702.24 + 2267.45i 0.0909906 + 0.0763501i
\(960\) −5640.97 24934.3i −0.189648 0.838281i
\(961\) −13107.0 4770.55i −0.439965 0.160134i
\(962\) 11860.0 + 7365.11i 0.397487 + 0.246841i
\(963\) 14262.4 34569.7i 0.477256 1.15679i
\(964\) 9114.14 + 18425.6i 0.304509 + 0.615610i
\(965\) 41074.9 7242.61i 1.37020 0.241604i
\(966\) 47576.6 + 15504.7i 1.58463 + 0.516412i
\(967\) −12658.0 34777.7i −0.420946 1.15654i −0.951166 0.308680i \(-0.900113\pi\)
0.530220 0.847860i \(-0.322109\pi\)
\(968\) 30336.7 + 8425.25i 1.00729 + 0.279750i
\(969\) 2240.52 + 3348.08i 0.0742784 + 0.110997i
\(970\) −18171.5 + 14278.8i −0.601496 + 0.472643i
\(971\) −43743.8 −1.44573 −0.722865 0.690989i \(-0.757175\pi\)
−0.722865 + 0.690989i \(0.757175\pi\)
\(972\) −27524.9 12677.2i −0.908292 0.418336i
\(973\) −22740.6 −0.749260
\(974\) −10028.3 + 7880.07i −0.329906 + 0.259234i
\(975\) 5576.08 + 8332.52i 0.183157 + 0.273697i
\(976\) 9580.99 30644.7i 0.314221 1.00503i
\(977\) −9610.75 26405.3i −0.314714 0.864668i −0.991688 0.128662i \(-0.958932\pi\)
0.676975 0.736006i \(-0.263291\pi\)
\(978\) −48161.9 15695.4i −1.57469 0.513174i
\(979\) 25267.6 4455.36i 0.824879 0.145448i
\(980\) 369.914 182.977i 0.0120576 0.00596426i
\(981\) 5003.85 12128.5i 0.162855 0.394734i
\(982\) −14204.1 8820.82i −0.461581 0.286643i
\(983\) −10697.2 3893.46i −0.347088 0.126330i 0.162593 0.986693i \(-0.448014\pi\)
−0.509681 + 0.860364i \(0.670237\pi\)
\(984\) −5152.04 + 1700.78i −0.166912 + 0.0551004i
\(985\) −30500.8 25593.2i −0.986634 0.827884i
\(986\) 33025.8 36885.0i 1.06669 1.19134i
\(987\) 13130.8 17934.6i 0.423464 0.578384i
\(988\) −2604.69 + 5939.04i −0.0838727 + 0.191241i
\(989\) −55223.0 31883.0i −1.77552 1.02510i
\(990\) 10386.8 + 36853.1i 0.333447 + 1.18310i
\(991\) −10238.4 + 5911.17i −0.328189 + 0.189480i −0.655037 0.755597i \(-0.727347\pi\)
0.326848 + 0.945077i \(0.394013\pi\)
\(992\) 317.260 + 22782.4i 0.0101543 + 0.729175i
\(993\) 20412.6 + 21293.3i 0.652340 + 0.680485i
\(994\) −39204.0 + 12859.0i −1.25098 + 0.410324i
\(995\) 2090.50 11855.8i 0.0666063 0.377743i
\(996\) 4647.57 8085.44i 0.147855 0.257226i
\(997\) 33548.9 28150.9i 1.06570 0.894230i 0.0710461 0.997473i \(-0.477366\pi\)
0.994656 + 0.103243i \(0.0329218\pi\)
\(998\) 20190.4 + 648.771i 0.640396 + 0.0205776i
\(999\) 3744.84 11108.8i 0.118600 0.351819i
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 108.4.l.a.59.17 yes 312
4.3 odd 2 inner 108.4.l.a.59.14 yes 312
27.11 odd 18 inner 108.4.l.a.11.14 312
108.11 even 18 inner 108.4.l.a.11.17 yes 312
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
108.4.l.a.11.14 312 27.11 odd 18 inner
108.4.l.a.11.17 yes 312 108.11 even 18 inner
108.4.l.a.59.14 yes 312 4.3 odd 2 inner
108.4.l.a.59.17 yes 312 1.1 even 1 trivial