Properties

Label 175.4.x.a.117.40
Level $175$
Weight $4$
Character 175.117
Analytic conductor $10.325$
Analytic rank $0$
Dimension $928$
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [175,4,Mod(3,175)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(175, base_ring=CyclotomicField(60))
 
chi = DirichletCharacter(H, H._module([21, 10]))
 
N = Newforms(chi, 4, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("175.3");
 
S:= CuspForms(chi, 4);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 175 = 5^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 175.x (of order \(60\), degree \(16\), 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: \(10.3253342510\)
Analytic rank: \(0\)
Dimension: \(928\)
Relative dimension: \(58\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 117.40
Character \(\chi\) \(=\) 175.117
Dual form 175.4.x.a.3.40

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.41837 + 2.18410i) q^{2} +(-2.65704 - 6.92183i) q^{3} +(0.495381 - 1.11264i) q^{4} +(10.2470 - 4.47205i) q^{5} +(11.3493 - 15.6209i) q^{6} +(-18.4764 - 1.27366i) q^{7} +(23.7102 - 3.75532i) q^{8} +(-20.7869 + 18.7166i) q^{9} +(24.3014 + 16.0374i) q^{10} +(11.6403 - 12.9278i) q^{11} +(-9.01778 - 0.472602i) q^{12} +(-19.8203 + 10.0990i) q^{13} +(-23.4246 - 42.1608i) q^{14} +(-58.1814 - 59.0454i) q^{15} +(35.3121 + 39.2181i) q^{16} +(-70.3005 - 86.8139i) q^{17} +(-70.3625 - 18.8536i) q^{18} +(-89.9083 + 40.0298i) q^{19} +(0.100358 - 13.6166i) q^{20} +(40.2765 + 131.275i) q^{21} +(44.7458 + 7.08704i) q^{22} +(130.641 - 84.8393i) q^{23} +(-88.9926 - 154.140i) q^{24} +(85.0015 - 91.6502i) q^{25} +(-50.1697 - 28.9655i) q^{26} +(6.41822 + 3.27025i) q^{27} +(-10.5700 + 19.9267i) q^{28} +(-6.80071 - 9.36037i) q^{29} +(46.4382 - 210.822i) q^{30} +(-24.5675 - 2.58214i) q^{31} +(14.1346 - 52.7511i) q^{32} +(-120.413 - 46.2221i) q^{33} +(89.8979 - 276.677i) q^{34} +(-195.023 + 69.5763i) q^{35} +(10.5275 + 32.4003i) q^{36} +(-16.9679 + 323.767i) q^{37} +(-214.952 - 139.592i) q^{38} +(122.567 + 110.360i) q^{39} +(226.164 - 144.514i) q^{40} +(277.574 + 90.1893i) q^{41} +(-229.590 + 274.164i) q^{42} +(245.716 - 245.716i) q^{43} +(-8.61770 - 19.3557i) q^{44} +(-129.301 + 284.749i) q^{45} +(370.595 + 164.999i) q^{46} +(-151.260 - 122.488i) q^{47} +(177.635 - 348.628i) q^{48} +(339.756 + 47.0655i) q^{49} +(320.737 + 55.6577i) q^{50} +(-414.119 + 717.276i) q^{51} +(1.41794 + 27.0558i) q^{52} +(-178.045 + 68.3452i) q^{53} +(1.96087 + 18.6565i) q^{54} +(61.4637 - 184.527i) q^{55} +(-442.862 + 39.1861i) q^{56} +(515.969 + 515.969i) q^{57} +(10.7980 - 28.1299i) q^{58} +(563.953 - 119.872i) q^{59} +(-94.5185 + 35.4852i) q^{60} +(-88.7743 + 417.650i) q^{61} +(-29.2061 - 57.3202i) q^{62} +(407.906 - 319.340i) q^{63} +(536.783 - 174.411i) q^{64} +(-157.936 + 192.122i) q^{65} +(-69.8362 - 328.553i) q^{66} +(70.5206 - 57.1065i) q^{67} +(-131.418 + 35.2135i) q^{68} +(-934.361 - 678.853i) q^{69} +(-428.577 - 327.265i) q^{70} +(518.857 - 376.972i) q^{71} +(-422.574 + 521.836i) q^{72} +(252.580 - 13.2372i) q^{73} +(-731.206 + 422.162i) q^{74} +(-860.239 - 344.847i) q^{75} +119.866i q^{76} +(-231.536 + 224.034i) q^{77} +(-67.1912 + 424.229i) q^{78} +(-1002.33 + 105.349i) q^{79} +(537.228 + 243.949i) q^{80} +(-73.3606 + 697.980i) q^{81} +(196.721 + 734.171i) q^{82} +(-35.9505 - 226.983i) q^{83} +(166.014 + 20.2176i) q^{84} +(-1108.60 - 575.193i) q^{85} +(885.184 + 188.152i) q^{86} +(-46.7211 + 71.9442i) q^{87} +(227.444 - 350.234i) q^{88} +(553.666 + 117.685i) q^{89} +(-805.318 + 121.473i) q^{90} +(379.072 - 161.348i) q^{91} +(-29.6788 - 187.385i) q^{92} +(47.4036 + 176.913i) q^{93} +(52.9831 - 504.101i) q^{94} +(-742.274 + 812.260i) q^{95} +(-402.690 + 42.3245i) q^{96} +(20.7184 - 130.811i) q^{97} +(379.104 + 808.816i) q^{98} +486.596i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 928 q - 8 q^{2} - 24 q^{3} - 10 q^{4} - 24 q^{7} + 84 q^{8} - 10 q^{9} - 96 q^{10} - 6 q^{11} - 72 q^{12} - 20 q^{14} - 368 q^{15} - 1670 q^{16} + 120 q^{17} - 14 q^{18} - 30 q^{19} - 12 q^{21} - 880 q^{22}+ \cdots - 19478 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{13}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.41837 + 2.18410i 0.501470 + 0.772195i 0.995246 0.0973935i \(-0.0310505\pi\)
−0.493776 + 0.869589i \(0.664384\pi\)
\(3\) −2.65704 6.92183i −0.511348 1.33211i −0.909849 0.414939i \(-0.863803\pi\)
0.398502 0.917168i \(-0.369530\pi\)
\(4\) 0.495381 1.11264i 0.0619226 0.139080i
\(5\) 10.2470 4.47205i 0.916518 0.399993i
\(6\) 11.3493 15.6209i 0.772221 1.06287i
\(7\) −18.4764 1.27366i −0.997632 0.0687714i
\(8\) 23.7102 3.75532i 1.04785 0.165963i
\(9\) −20.7869 + 18.7166i −0.769886 + 0.693208i
\(10\) 24.3014 + 16.0374i 0.768479 + 0.507147i
\(11\) 11.6403 12.9278i 0.319061 0.354353i −0.562185 0.827012i \(-0.690039\pi\)
0.881246 + 0.472659i \(0.156706\pi\)
\(12\) −9.01778 0.472602i −0.216934 0.0113690i
\(13\) −19.8203 + 10.0990i −0.422860 + 0.215458i −0.652453 0.757829i \(-0.726260\pi\)
0.229594 + 0.973287i \(0.426260\pi\)
\(14\) −23.4246 42.1608i −0.447177 0.804854i
\(15\) −58.1814 59.0454i −1.00149 1.01636i
\(16\) 35.3121 + 39.2181i 0.551751 + 0.612782i
\(17\) −70.3005 86.8139i −1.00296 1.23856i −0.971003 0.239067i \(-0.923158\pi\)
−0.0319599 0.999489i \(-0.510175\pi\)
\(18\) −70.3625 18.8536i −0.921366 0.246879i
\(19\) −89.9083 + 40.0298i −1.08560 + 0.483340i −0.869955 0.493132i \(-0.835852\pi\)
−0.215645 + 0.976472i \(0.569185\pi\)
\(20\) 0.100358 13.6166i 0.00112204 0.152238i
\(21\) 40.2765 + 131.275i 0.418526 + 1.36412i
\(22\) 44.7458 + 7.08704i 0.433629 + 0.0686801i
\(23\) 130.641 84.8393i 1.18437 0.769140i 0.206520 0.978442i \(-0.433786\pi\)
0.977851 + 0.209303i \(0.0671194\pi\)
\(24\) −88.9926 154.140i −0.756897 1.31098i
\(25\) 85.0015 91.6502i 0.680012 0.733201i
\(26\) −50.1697 28.9655i −0.378427 0.218485i
\(27\) 6.41822 + 3.27025i 0.0457477 + 0.0233096i
\(28\) −10.5700 + 19.9267i −0.0713408 + 0.134493i
\(29\) −6.80071 9.36037i −0.0435469 0.0599371i 0.786688 0.617350i \(-0.211794\pi\)
−0.830235 + 0.557413i \(0.811794\pi\)
\(30\) 46.4382 210.822i 0.282614 1.28302i
\(31\) −24.5675 2.58214i −0.142337 0.0149602i 0.0330920 0.999452i \(-0.489465\pi\)
−0.175429 + 0.984492i \(0.556131\pi\)
\(32\) 14.1346 52.7511i 0.0780835 0.291412i
\(33\) −120.413 46.2221i −0.635187 0.243825i
\(34\) 89.8979 276.677i 0.453452 1.39558i
\(35\) −195.023 + 69.5763i −0.941856 + 0.336015i
\(36\) 10.5275 + 32.4003i 0.0487384 + 0.150001i
\(37\) −16.9679 + 323.767i −0.0753921 + 1.43857i 0.655047 + 0.755588i \(0.272649\pi\)
−0.730439 + 0.682978i \(0.760684\pi\)
\(38\) −214.952 139.592i −0.917628 0.595915i
\(39\) 122.567 + 110.360i 0.503241 + 0.453120i
\(40\) 226.164 144.514i 0.893991 0.571241i
\(41\) 277.574 + 90.1893i 1.05731 + 0.343542i 0.785534 0.618818i \(-0.212388\pi\)
0.271778 + 0.962360i \(0.412388\pi\)
\(42\) −229.590 + 274.164i −0.843488 + 1.00725i
\(43\) 245.716 245.716i 0.871426 0.871426i −0.121202 0.992628i \(-0.538675\pi\)
0.992628 + 0.121202i \(0.0386749\pi\)
\(44\) −8.61770 19.3557i −0.0295265 0.0663176i
\(45\) −129.301 + 284.749i −0.428336 + 0.943287i
\(46\) 370.595 + 164.999i 1.18785 + 0.528866i
\(47\) −151.260 122.488i −0.469438 0.380143i 0.365212 0.930924i \(-0.380997\pi\)
−0.834650 + 0.550781i \(0.814330\pi\)
\(48\) 177.635 348.628i 0.534154 1.04834i
\(49\) 339.756 + 47.0655i 0.990541 + 0.137217i
\(50\) 320.737 + 55.6577i 0.907180 + 0.157424i
\(51\) −414.119 + 717.276i −1.13703 + 1.96939i
\(52\) 1.41794 + 27.0558i 0.00378139 + 0.0721532i
\(53\) −178.045 + 68.3452i −0.461441 + 0.177131i −0.577972 0.816056i \(-0.696156\pi\)
0.116531 + 0.993187i \(0.462823\pi\)
\(54\) 1.96087 + 18.6565i 0.00494150 + 0.0470152i
\(55\) 61.4637 184.527i 0.150687 0.452393i
\(56\) −442.862 + 39.1861i −1.05678 + 0.0935082i
\(57\) 515.969 + 515.969i 1.19898 + 1.19898i
\(58\) 10.7980 28.1299i 0.0244457 0.0636833i
\(59\) 563.953 119.872i 1.24441 0.264508i 0.461782 0.886993i \(-0.347210\pi\)
0.782632 + 0.622485i \(0.213877\pi\)
\(60\) −94.5185 + 35.4852i −0.203371 + 0.0763521i
\(61\) −88.7743 + 417.650i −0.186334 + 0.876633i 0.781276 + 0.624185i \(0.214569\pi\)
−0.967610 + 0.252448i \(0.918764\pi\)
\(62\) −29.2061 57.3202i −0.0598255 0.117414i
\(63\) 407.906 319.340i 0.815736 0.638621i
\(64\) 536.783 174.411i 1.04841 0.340647i
\(65\) −157.936 + 192.122i −0.301377 + 0.366612i
\(66\) −69.8362 328.553i −0.130246 0.612760i
\(67\) 70.5206 57.1065i 0.128589 0.104129i −0.562868 0.826546i \(-0.690302\pi\)
0.691458 + 0.722417i \(0.256969\pi\)
\(68\) −131.418 + 35.2135i −0.234365 + 0.0627979i
\(69\) −934.361 678.853i −1.63020 1.18441i
\(70\) −428.577 327.265i −0.731782 0.558796i
\(71\) 518.857 376.972i 0.867281 0.630117i −0.0625746 0.998040i \(-0.519931\pi\)
0.929856 + 0.367923i \(0.119931\pi\)
\(72\) −422.574 + 521.836i −0.691679 + 0.854152i
\(73\) 252.580 13.2372i 0.404963 0.0212232i 0.151233 0.988498i \(-0.451676\pi\)
0.253730 + 0.967275i \(0.418342\pi\)
\(74\) −731.206 + 422.162i −1.14866 + 0.663180i
\(75\) −860.239 344.847i −1.32442 0.530927i
\(76\) 119.866i 0.180915i
\(77\) −231.536 + 224.034i −0.342675 + 0.331572i
\(78\) −67.1912 + 424.229i −0.0975373 + 0.615826i
\(79\) −1002.33 + 105.349i −1.42747 + 0.150034i −0.786529 0.617553i \(-0.788124\pi\)
−0.640945 + 0.767587i \(0.721457\pi\)
\(80\) 537.228 + 243.949i 0.750799 + 0.340929i
\(81\) −73.3606 + 697.980i −0.100632 + 0.957448i
\(82\) 196.721 + 734.171i 0.264929 + 0.988727i
\(83\) −35.9505 226.983i −0.0475431 0.300176i 0.952447 0.304706i \(-0.0985581\pi\)
−0.999990 + 0.00452998i \(0.998558\pi\)
\(84\) 166.014 + 20.2176i 0.215638 + 0.0262610i
\(85\) −1108.60 575.193i −1.41465 0.733982i
\(86\) 885.184 + 188.152i 1.10990 + 0.235918i
\(87\) −46.7211 + 71.9442i −0.0575750 + 0.0886578i
\(88\) 227.444 350.234i 0.275519 0.424262i
\(89\) 553.666 + 117.685i 0.659422 + 0.140164i 0.525455 0.850821i \(-0.323895\pi\)
0.133967 + 0.990986i \(0.457228\pi\)
\(90\) −805.318 + 121.473i −0.943199 + 0.142270i
\(91\) 379.072 161.348i 0.436676 0.185867i
\(92\) −29.6788 187.385i −0.0336329 0.212350i
\(93\) 47.4036 + 176.913i 0.0528551 + 0.197258i
\(94\) 52.9831 504.101i 0.0581361 0.553128i
\(95\) −742.274 + 812.260i −0.801639 + 0.877222i
\(96\) −402.690 + 42.3245i −0.428119 + 0.0449971i
\(97\) 20.7184 130.811i 0.0216869 0.136926i −0.974469 0.224521i \(-0.927918\pi\)
0.996156 + 0.0875953i \(0.0279182\pi\)
\(98\) 379.104 + 808.816i 0.390768 + 0.833701i
\(99\) 486.596i 0.493987i
\(100\) −59.8659 139.978i −0.0598659 0.139978i
\(101\) 562.645 324.843i 0.554309 0.320031i −0.196549 0.980494i \(-0.562973\pi\)
0.750858 + 0.660463i \(0.229640\pi\)
\(102\) −2153.98 + 112.885i −2.09093 + 0.109581i
\(103\) 673.852 832.138i 0.644627 0.796048i −0.345169 0.938541i \(-0.612178\pi\)
0.989796 + 0.142493i \(0.0455117\pi\)
\(104\) −432.019 + 313.880i −0.407336 + 0.295947i
\(105\) 999.780 + 1165.05i 0.929224 + 1.08283i
\(106\) −401.807 291.930i −0.368178 0.267497i
\(107\) 1525.83 408.845i 1.37858 0.369388i 0.507973 0.861373i \(-0.330395\pi\)
0.870604 + 0.491985i \(0.163728\pi\)
\(108\) 6.81809 5.52118i 0.00607473 0.00491922i
\(109\) 360.082 + 1694.05i 0.316419 + 1.48863i 0.792848 + 0.609420i \(0.208598\pi\)
−0.476429 + 0.879213i \(0.658069\pi\)
\(110\) 490.204 127.485i 0.424901 0.110502i
\(111\) 2286.14 742.813i 1.95487 0.635177i
\(112\) −602.490 769.585i −0.508303 0.649276i
\(113\) 316.002 + 620.189i 0.263070 + 0.516305i 0.984325 0.176366i \(-0.0564341\pi\)
−0.721254 + 0.692670i \(0.756434\pi\)
\(114\) −395.092 + 1858.76i −0.324595 + 1.52710i
\(115\) 959.271 1453.58i 0.777848 1.17867i
\(116\) −13.7837 + 2.92982i −0.0110326 + 0.00234506i
\(117\) 222.985 580.896i 0.176197 0.459008i
\(118\) 1061.71 + 1061.71i 0.828288 + 0.828288i
\(119\) 1188.33 + 1693.55i 0.915411 + 1.30460i
\(120\) −1601.23 1181.49i −1.21809 0.898788i
\(121\) 107.495 + 1022.74i 0.0807622 + 0.768401i
\(122\) −1038.10 + 398.491i −0.770373 + 0.295719i
\(123\) −113.251 2160.96i −0.0830203 1.58412i
\(124\) −15.0433 + 26.0557i −0.0108946 + 0.0188699i
\(125\) 461.144 1319.27i 0.329968 0.943992i
\(126\) 1276.03 + 437.964i 0.902207 + 0.309659i
\(127\) 1291.70 2535.11i 0.902521 1.77130i 0.353697 0.935360i \(-0.384924\pi\)
0.548824 0.835938i \(-0.315076\pi\)
\(128\) 802.757 + 650.060i 0.554331 + 0.448889i
\(129\) −2353.68 1047.93i −1.60643 0.715230i
\(130\) −643.624 72.4474i −0.434227 0.0488774i
\(131\) −42.4848 95.4224i −0.0283352 0.0636420i 0.898823 0.438311i \(-0.144423\pi\)
−0.927159 + 0.374669i \(0.877756\pi\)
\(132\) −111.079 + 111.079i −0.0732438 + 0.0732438i
\(133\) 1712.17 625.094i 1.11627 0.407537i
\(134\) 224.750 + 73.0259i 0.144892 + 0.0470782i
\(135\) 80.3922 + 4.80755i 0.0512523 + 0.00306495i
\(136\) −1992.85 1794.37i −1.25651 1.13137i
\(137\) 913.055 + 592.945i 0.569398 + 0.369771i 0.796997 0.603984i \(-0.206421\pi\)
−0.227599 + 0.973755i \(0.573087\pi\)
\(138\) 157.412 3003.60i 0.0971001 1.85278i
\(139\) 772.143 + 2376.41i 0.471168 + 1.45011i 0.851057 + 0.525074i \(0.175962\pi\)
−0.379889 + 0.925032i \(0.624038\pi\)
\(140\) −19.1972 + 251.458i −0.0115890 + 0.151801i
\(141\) −445.937 + 1372.45i −0.266345 + 0.819727i
\(142\) 1559.27 + 598.549i 0.921489 + 0.353726i
\(143\) −100.156 + 373.789i −0.0585699 + 0.218586i
\(144\) −1468.06 154.299i −0.849571 0.0892935i
\(145\) −111.547 65.5024i −0.0638859 0.0375150i
\(146\) 387.164 + 532.885i 0.219465 + 0.302068i
\(147\) −576.965 2476.78i −0.323723 1.38967i
\(148\) 351.832 + 179.267i 0.195408 + 0.0995654i
\(149\) 1918.87 + 1107.86i 1.05503 + 0.609123i 0.924054 0.382262i \(-0.124855\pi\)
0.130978 + 0.991385i \(0.458188\pi\)
\(150\) −466.957 2367.97i −0.254179 1.28896i
\(151\) −560.666 971.102i −0.302161 0.523359i 0.674464 0.738308i \(-0.264375\pi\)
−0.976625 + 0.214949i \(0.931041\pi\)
\(152\) −1981.42 + 1286.75i −1.05733 + 0.686638i
\(153\) 3086.19 + 488.805i 1.63074 + 0.258284i
\(154\) −817.716 187.934i −0.427879 0.0983388i
\(155\) −263.290 + 83.4078i −0.136438 + 0.0432224i
\(156\) 183.508 81.7031i 0.0941822 0.0419326i
\(157\) 175.853 + 47.1196i 0.0893923 + 0.0239526i 0.303238 0.952915i \(-0.401932\pi\)
−0.213846 + 0.976867i \(0.568599\pi\)
\(158\) −1651.76 2039.75i −0.831690 1.02705i
\(159\) 946.147 + 1050.80i 0.471914 + 0.524114i
\(160\) −91.0686 603.751i −0.0449976 0.298317i
\(161\) −2521.83 + 1401.13i −1.23446 + 0.685868i
\(162\) −1628.51 + 829.767i −0.789801 + 0.402424i
\(163\) −3733.90 195.686i −1.79424 0.0940324i −0.874133 0.485687i \(-0.838569\pi\)
−0.920112 + 0.391655i \(0.871903\pi\)
\(164\) 237.854 264.163i 0.113251 0.125779i
\(165\) −1440.58 + 64.8549i −0.679689 + 0.0305997i
\(166\) 444.761 400.465i 0.207953 0.187242i
\(167\) −2753.75 + 436.150i −1.27600 + 0.202098i −0.757417 0.652932i \(-0.773539\pi\)
−0.518579 + 0.855030i \(0.673539\pi\)
\(168\) 1447.94 + 2961.29i 0.664947 + 1.35993i
\(169\) −1000.51 + 1377.08i −0.455397 + 0.626800i
\(170\) −316.133 3237.14i −0.142625 1.46045i
\(171\) 1119.69 2514.88i 0.500732 1.12466i
\(172\) −151.671 395.117i −0.0672374 0.175159i
\(173\) −1618.09 2491.63i −0.711103 1.09500i −0.990855 0.134930i \(-0.956919\pi\)
0.279752 0.960072i \(-0.409748\pi\)
\(174\) −223.401 −0.0973332
\(175\) −1687.25 + 1585.10i −0.728825 + 0.684700i
\(176\) 918.046 0.393184
\(177\) −2328.18 3585.08i −0.988681 1.52244i
\(178\) 528.267 + 1376.18i 0.222446 + 0.579491i
\(179\) 219.278 492.507i 0.0915622 0.205652i −0.861959 0.506978i \(-0.830763\pi\)
0.953521 + 0.301326i \(0.0974292\pi\)
\(180\) 252.771 + 284.926i 0.104669 + 0.117984i
\(181\) 1409.09 1939.45i 0.578657 0.796453i −0.414891 0.909871i \(-0.636180\pi\)
0.993547 + 0.113419i \(0.0361801\pi\)
\(182\) 890.064 + 599.078i 0.362505 + 0.243992i
\(183\) 3126.78 495.233i 1.26305 0.200048i
\(184\) 2778.92 2502.15i 1.11340 1.00251i
\(185\) 1274.03 + 3393.52i 0.506318 + 1.34863i
\(186\) −319.159 + 354.462i −0.125816 + 0.139733i
\(187\) −1940.63 101.704i −0.758893 0.0397719i
\(188\) −211.217 + 107.621i −0.0819394 + 0.0417502i
\(189\) −114.421 68.5971i −0.0440364 0.0264006i
\(190\) −2826.87 469.115i −1.07938 0.179122i
\(191\) −53.3995 59.3062i −0.0202296 0.0224673i 0.732945 0.680288i \(-0.238145\pi\)
−0.753175 + 0.657821i \(0.771479\pi\)
\(192\) −2633.50 3252.10i −0.989878 1.22240i
\(193\) −656.097 175.801i −0.244699 0.0655669i 0.134385 0.990929i \(-0.457094\pi\)
−0.379084 + 0.925362i \(0.623761\pi\)
\(194\) 315.090 140.287i 0.116609 0.0519176i
\(195\) 1749.47 + 582.728i 0.642474 + 0.214000i
\(196\) 220.676 354.712i 0.0804211 0.129268i
\(197\) −270.475 42.8390i −0.0978200 0.0154932i 0.107333 0.994223i \(-0.465769\pi\)
−0.205153 + 0.978730i \(0.565769\pi\)
\(198\) −1062.77 + 690.173i −0.381455 + 0.247719i
\(199\) −1477.49 2559.08i −0.526312 0.911600i −0.999530 0.0306541i \(-0.990241\pi\)
0.473218 0.880945i \(-0.343092\pi\)
\(200\) 1671.22 2492.25i 0.590867 0.881143i
\(201\) −582.657 336.397i −0.204465 0.118048i
\(202\) 1507.53 + 768.124i 0.525095 + 0.267549i
\(203\) 113.731 + 181.608i 0.0393218 + 0.0627900i
\(204\) 592.926 + 816.092i 0.203496 + 0.280088i
\(205\) 3247.63 317.158i 1.10646 0.108055i
\(206\) 2773.24 + 291.479i 0.937965 + 0.0985841i
\(207\) −1127.72 + 4208.71i −0.378657 + 1.41317i
\(208\) −1095.96 420.700i −0.365342 0.140242i
\(209\) −529.059 + 1628.28i −0.175099 + 0.538901i
\(210\) −1126.53 + 3836.09i −0.370180 + 1.26055i
\(211\) −1370.92 4219.25i −0.447289 1.37661i −0.879954 0.475059i \(-0.842427\pi\)
0.432665 0.901555i \(-0.357573\pi\)
\(212\) −12.1564 + 231.958i −0.00393823 + 0.0751459i
\(213\) −3987.96 2589.81i −1.28286 0.833102i
\(214\) 3057.15 + 2752.67i 0.976554 + 0.879293i
\(215\) 1418.99 3616.70i 0.450114 1.14724i
\(216\) 164.458 + 53.4356i 0.0518053 + 0.0168326i
\(217\) 450.630 + 78.9995i 0.140971 + 0.0247135i
\(218\) −3189.25 + 3189.25i −0.990841 + 0.990841i
\(219\) −762.742 1713.15i −0.235348 0.528601i
\(220\) −174.865 159.798i −0.0535882 0.0489709i
\(221\) 2270.11 + 1010.72i 0.690969 + 0.307639i
\(222\) 4864.97 + 3939.58i 1.47079 + 1.19102i
\(223\) −2036.07 + 3996.00i −0.611413 + 1.19996i 0.353015 + 0.935618i \(0.385156\pi\)
−0.964428 + 0.264347i \(0.914844\pi\)
\(224\) −328.344 + 956.649i −0.0979394 + 0.285352i
\(225\) −51.5366 + 3496.06i −0.0152701 + 1.03587i
\(226\) −906.346 + 1569.84i −0.266766 + 0.462053i
\(227\) 124.319 + 2372.14i 0.0363494 + 0.693588i 0.954655 + 0.297715i \(0.0962245\pi\)
−0.918305 + 0.395873i \(0.870442\pi\)
\(228\) 829.691 318.489i 0.240998 0.0925106i
\(229\) 317.104 + 3017.04i 0.0915056 + 0.870618i 0.939945 + 0.341326i \(0.110876\pi\)
−0.848439 + 0.529292i \(0.822457\pi\)
\(230\) 4535.37 + 33.4268i 1.30023 + 0.00958305i
\(231\) 2165.92 + 1007.38i 0.616915 + 0.286931i
\(232\) −196.397 196.397i −0.0555780 0.0555780i
\(233\) 737.550 1921.38i 0.207375 0.540232i −0.789962 0.613156i \(-0.789900\pi\)
0.997337 + 0.0729242i \(0.0232331\pi\)
\(234\) 1585.01 336.904i 0.442801 0.0941202i
\(235\) −2097.74 578.690i −0.582303 0.160637i
\(236\) 145.997 686.861i 0.0402694 0.189453i
\(237\) 3392.42 + 6658.01i 0.929796 + 1.82483i
\(238\) −2013.38 + 4997.50i −0.548354 + 1.36109i
\(239\) −5428.29 + 1763.76i −1.46915 + 0.477356i −0.930852 0.365398i \(-0.880933\pi\)
−0.538299 + 0.842754i \(0.680933\pi\)
\(240\) 261.139 4366.78i 0.0702351 1.17448i
\(241\) 436.450 + 2053.33i 0.116656 + 0.548825i 0.997195 + 0.0748504i \(0.0238479\pi\)
−0.880538 + 0.473975i \(0.842819\pi\)
\(242\) −2081.30 + 1685.41i −0.552856 + 0.447694i
\(243\) 5214.08 1397.11i 1.37647 0.368825i
\(244\) 420.719 + 305.670i 0.110384 + 0.0801989i
\(245\) 3691.95 1037.13i 0.962735 0.270447i
\(246\) 4559.11 3312.39i 1.18162 0.858497i
\(247\) 1377.76 1701.39i 0.354917 0.438286i
\(248\) −592.196 + 31.0357i −0.151631 + 0.00794664i
\(249\) −1475.61 + 851.945i −0.375555 + 0.216827i
\(250\) 3535.49 864.027i 0.894415 0.218584i
\(251\) 4623.99i 1.16280i 0.813617 + 0.581402i \(0.197496\pi\)
−0.813617 + 0.581402i \(0.802504\pi\)
\(252\) −153.243 612.050i −0.0383072 0.152998i
\(253\) 423.909 2676.46i 0.105340 0.665088i
\(254\) 7369.05 774.518i 1.82038 0.191329i
\(255\) −1035.78 + 9201.88i −0.254365 + 2.25978i
\(256\) 190.785 1815.20i 0.0465784 0.443163i
\(257\) 274.575 + 1024.73i 0.0666440 + 0.248719i 0.991209 0.132306i \(-0.0422380\pi\)
−0.924565 + 0.381025i \(0.875571\pi\)
\(258\) −1049.62 6627.01i −0.253280 1.59915i
\(259\) 725.876 5960.44i 0.174146 1.42998i
\(260\) 135.525 + 270.900i 0.0323265 + 0.0646172i
\(261\) 316.560 + 67.2869i 0.0750750 + 0.0159577i
\(262\) 148.153 228.135i 0.0349348 0.0537948i
\(263\) −4067.05 + 6262.71i −0.953556 + 1.46835i −0.0713677 + 0.997450i \(0.522736\pi\)
−0.882188 + 0.470897i \(0.843930\pi\)
\(264\) −3028.59 643.746i −0.706048 0.150075i
\(265\) −1518.78 + 1496.56i −0.352068 + 0.346917i
\(266\) 3793.75 + 2852.93i 0.874474 + 0.657610i
\(267\) −656.516 4145.08i −0.150480 0.950092i
\(268\) −28.6046 106.754i −0.00651979 0.0243322i
\(269\) 597.063 5680.68i 0.135329 1.28757i −0.690368 0.723458i \(-0.742551\pi\)
0.825697 0.564114i \(-0.190782\pi\)
\(270\) 103.526 + 182.403i 0.0233347 + 0.0411138i
\(271\) −7633.37 + 802.299i −1.71105 + 0.179838i −0.908823 0.417182i \(-0.863018\pi\)
−0.802226 + 0.597021i \(0.796351\pi\)
\(272\) 922.214 5822.63i 0.205579 1.29797i
\(273\) −2124.03 2195.16i −0.470888 0.486656i
\(274\) 2835.22i 0.625116i
\(275\) −195.398 2165.72i −0.0428470 0.474900i
\(276\) −1218.19 + 703.320i −0.265675 + 0.153387i
\(277\) −3209.40 + 168.198i −0.696152 + 0.0364838i −0.397130 0.917762i \(-0.629994\pi\)
−0.299022 + 0.954246i \(0.596660\pi\)
\(278\) −4095.14 + 5057.07i −0.883489 + 1.09102i
\(279\) 559.011 406.145i 0.119954 0.0871515i
\(280\) −4362.76 + 2382.04i −0.931159 + 0.508408i
\(281\) 2679.55 + 1946.81i 0.568857 + 0.413299i 0.834690 0.550720i \(-0.185647\pi\)
−0.265833 + 0.964019i \(0.585647\pi\)
\(282\) −3630.08 + 972.677i −0.766553 + 0.205397i
\(283\) 3572.02 2892.56i 0.750298 0.607579i −0.175992 0.984392i \(-0.556313\pi\)
0.926290 + 0.376812i \(0.122980\pi\)
\(284\) −162.403 764.047i −0.0339326 0.159640i
\(285\) 7594.57 + 2979.69i 1.57847 + 0.619303i
\(286\) −958.450 + 311.419i −0.198162 + 0.0643867i
\(287\) −5013.70 2019.91i −1.03118 0.415441i
\(288\) 693.508 + 1361.09i 0.141894 + 0.278482i
\(289\) −1573.02 + 7400.47i −0.320175 + 1.50630i
\(290\) −15.1509 336.536i −0.00306790 0.0681451i
\(291\) −960.498 + 204.160i −0.193489 + 0.0411274i
\(292\) 110.395 287.589i 0.0221246 0.0576366i
\(293\) −2162.03 2162.03i −0.431082 0.431082i 0.457914 0.888996i \(-0.348597\pi\)
−0.888996 + 0.457914i \(0.848597\pi\)
\(294\) 4591.19 4773.15i 0.910761 0.946855i
\(295\) 5242.74 3750.35i 1.03473 0.740183i
\(296\) 813.537 + 7740.29i 0.159750 + 1.51992i
\(297\) 116.987 44.9071i 0.0228561 0.00877365i
\(298\) 301.992 + 5762.35i 0.0587044 + 1.12015i
\(299\) −1732.56 + 3000.88i −0.335106 + 0.580420i
\(300\) −809.838 + 786.309i −0.155853 + 0.151325i
\(301\) −4852.91 + 4226.99i −0.929292 + 0.809434i
\(302\) 1325.75 2601.93i 0.252611 0.495776i
\(303\) −3743.48 3031.41i −0.709759 0.574752i
\(304\) −4744.74 2112.50i −0.895163 0.398552i
\(305\) 958.086 + 4676.66i 0.179868 + 0.877983i
\(306\) 3309.76 + 7433.85i 0.618322 + 1.38877i
\(307\) −2087.93 + 2087.93i −0.388158 + 0.388158i −0.874030 0.485872i \(-0.838502\pi\)
0.485872 + 0.874030i \(0.338502\pi\)
\(308\) 134.571 + 368.599i 0.0248959 + 0.0681912i
\(309\) −7550.36 2453.26i −1.39005 0.451654i
\(310\) −555.614 456.748i −0.101796 0.0836824i
\(311\) −1789.52 1611.29i −0.326285 0.293788i 0.489665 0.871911i \(-0.337119\pi\)
−0.815950 + 0.578122i \(0.803786\pi\)
\(312\) 3320.52 + 2156.37i 0.602523 + 0.391283i
\(313\) 396.110 7558.23i 0.0715318 1.36491i −0.693286 0.720662i \(-0.743838\pi\)
0.764818 0.644246i \(-0.222829\pi\)
\(314\) 146.511 + 450.913i 0.0263314 + 0.0810398i
\(315\) 2751.70 5096.46i 0.492193 0.911596i
\(316\) −379.317 + 1167.42i −0.0675262 + 0.207824i
\(317\) 373.373 + 143.325i 0.0661538 + 0.0253940i 0.391220 0.920297i \(-0.372053\pi\)
−0.325066 + 0.945691i \(0.605387\pi\)
\(318\) −953.070 + 3556.90i −0.168068 + 0.627237i
\(319\) −200.171 21.0388i −0.0351330 0.00369263i
\(320\) 4720.43 4187.72i 0.824626 0.731564i
\(321\) −6884.15 9475.22i −1.19700 1.64752i
\(322\) −6637.11 3520.61i −1.14867 0.609304i
\(323\) 9795.74 + 4991.18i 1.68746 + 0.859804i
\(324\) 740.261 + 427.390i 0.126931 + 0.0732836i
\(325\) −759.186 + 2674.97i −0.129576 + 0.456555i
\(326\) −4868.66 8432.77i −0.827148 1.43266i
\(327\) 10769.2 6993.60i 1.82122 1.18271i
\(328\) 6920.02 + 1096.02i 1.16492 + 0.184505i
\(329\) 2638.74 + 2455.80i 0.442184 + 0.411527i
\(330\) −2184.92 3054.37i −0.364472 0.509508i
\(331\) 3741.59 1665.87i 0.621319 0.276629i −0.0718372 0.997416i \(-0.522886\pi\)
0.693156 + 0.720787i \(0.256220\pi\)
\(332\) −270.360 72.4427i −0.0446926 0.0119753i
\(333\) −5707.11 7047.70i −0.939183 1.15979i
\(334\) −4858.43 5395.83i −0.795932 0.883972i
\(335\) 467.241 900.541i 0.0762032 0.146871i
\(336\) −3726.09 + 6215.15i −0.604985 + 1.00912i
\(337\) −10624.3 + 5413.37i −1.71734 + 0.875029i −0.737475 + 0.675374i \(0.763982\pi\)
−0.979866 + 0.199655i \(0.936018\pi\)
\(338\) −4426.77 231.997i −0.712380 0.0373343i
\(339\) 3453.21 3835.18i 0.553252 0.614449i
\(340\) −1189.17 + 948.542i −0.189681 + 0.151300i
\(341\) −319.353 + 287.547i −0.0507154 + 0.0456643i
\(342\) 7080.88 1121.50i 1.11956 0.177321i
\(343\) −6217.52 1302.34i −0.978759 0.205013i
\(344\) 4903.22 6748.71i 0.768500 1.05775i
\(345\) −12610.3 2777.69i −1.96786 0.433465i
\(346\) 3146.93 7068.12i 0.488960 1.09822i
\(347\) 3804.53 + 9911.15i 0.588582 + 1.53331i 0.827032 + 0.562155i \(0.190028\pi\)
−0.238450 + 0.971155i \(0.576639\pi\)
\(348\) 56.9035 + 87.6237i 0.00876537 + 0.0134975i
\(349\) 105.304 0.0161513 0.00807563 0.999967i \(-0.497429\pi\)
0.00807563 + 0.999967i \(0.497429\pi\)
\(350\) −5855.17 1436.87i −0.894206 0.219439i
\(351\) −160.238 −0.0243671
\(352\) −517.426 796.767i −0.0783492 0.120647i
\(353\) 2883.93 + 7512.88i 0.434833 + 1.13278i 0.959559 + 0.281507i \(0.0908342\pi\)
−0.524727 + 0.851271i \(0.675832\pi\)
\(354\) 4527.95 10169.9i 0.679824 1.52691i
\(355\) 3630.88 6183.18i 0.542837 0.924420i
\(356\) 405.218 557.734i 0.0603272 0.0830333i
\(357\) 8565.01 12725.2i 1.26977 1.88653i
\(358\) 1386.70 219.632i 0.204719 0.0324243i
\(359\) 4151.54 3738.06i 0.610334 0.549547i −0.304944 0.952370i \(-0.598638\pi\)
0.915278 + 0.402823i \(0.131971\pi\)
\(360\) −1996.43 + 7237.02i −0.292282 + 1.05951i
\(361\) 1891.56 2100.79i 0.275778 0.306282i
\(362\) 6234.55 + 326.739i 0.905196 + 0.0474393i
\(363\) 6793.63 3461.53i 0.982295 0.500504i
\(364\) 8.26166 501.701i 0.00118964 0.0722425i
\(365\) 2528.99 1265.19i 0.362667 0.181434i
\(366\) 5516.57 + 6126.77i 0.787857 + 0.875004i
\(367\) 5881.11 + 7262.57i 0.836489 + 1.03298i 0.998929 + 0.0462596i \(0.0147302\pi\)
−0.162440 + 0.986718i \(0.551937\pi\)
\(368\) 7940.44 + 2127.63i 1.12479 + 0.301388i
\(369\) −7457.95 + 3320.49i −1.05216 + 0.468450i
\(370\) −5604.72 + 7595.88i −0.787502 + 1.06727i
\(371\) 3376.69 1036.00i 0.472530 0.144977i
\(372\) 220.324 + 34.8958i 0.0307076 + 0.00486361i
\(373\) 1895.19 1230.75i 0.263081 0.170847i −0.406358 0.913714i \(-0.633201\pi\)
0.669439 + 0.742867i \(0.266535\pi\)
\(374\) −2530.40 4382.78i −0.349850 0.605958i
\(375\) −10357.0 + 313.390i −1.42623 + 0.0431558i
\(376\) −4046.39 2336.18i −0.554991 0.320424i
\(377\) 229.322 + 116.846i 0.0313281 + 0.0159625i
\(378\) −12.4678 347.202i −0.00169650 0.0472438i
\(379\) 1996.22 + 2747.55i 0.270551 + 0.372381i 0.922575 0.385817i \(-0.126080\pi\)
−0.652025 + 0.758198i \(0.726080\pi\)
\(380\) 536.047 + 1228.26i 0.0723648 + 0.165812i
\(381\) −20979.7 2205.06i −2.82106 0.296505i
\(382\) 53.7903 200.748i 0.00720458 0.0268879i
\(383\) 10894.0 + 4181.81i 1.45341 + 0.557912i 0.951675 0.307108i \(-0.0993614\pi\)
0.501736 + 0.865021i \(0.332695\pi\)
\(384\) 2366.65 7283.78i 0.314511 0.967966i
\(385\) −1370.65 + 3331.11i −0.181442 + 0.440959i
\(386\) −546.622 1682.33i −0.0720786 0.221835i
\(387\) −508.704 + 9706.64i −0.0668188 + 1.27498i
\(388\) −135.282 87.8532i −0.0177008 0.0114950i
\(389\) 1434.29 + 1291.44i 0.186944 + 0.168325i 0.757289 0.653080i \(-0.226524\pi\)
−0.570345 + 0.821406i \(0.693190\pi\)
\(390\) 1208.67 + 4647.55i 0.156931 + 0.603430i
\(391\) −16549.4 5377.21i −2.14050 0.695492i
\(392\) 8232.41 159.961i 1.06071 0.0206103i
\(393\) −547.614 + 547.614i −0.0702887 + 0.0702887i
\(394\) −290.069 651.505i −0.0370900 0.0833055i
\(395\) −9799.69 + 5561.96i −1.24829 + 0.708488i
\(396\) 541.408 + 241.050i 0.0687040 + 0.0305890i
\(397\) 884.674 + 716.395i 0.111840 + 0.0905663i 0.683609 0.729848i \(-0.260409\pi\)
−0.571769 + 0.820415i \(0.693743\pi\)
\(398\) 3493.66 6856.69i 0.440003 0.863555i
\(399\) −8876.09 10190.4i −1.11368 1.27860i
\(400\) 6595.92 + 97.2327i 0.824490 + 0.0121541i
\(401\) −1958.71 + 3392.58i −0.243923 + 0.422488i −0.961828 0.273653i \(-0.911768\pi\)
0.717905 + 0.696141i \(0.245101\pi\)
\(402\) −91.6988 1749.72i −0.0113769 0.217084i
\(403\) 513.013 196.927i 0.0634119 0.0243415i
\(404\) −82.7112 786.944i −0.0101857 0.0969107i
\(405\) 2369.68 + 7480.26i 0.290741 + 0.917771i
\(406\) −235.337 + 505.986i −0.0287675 + 0.0618514i
\(407\) 3988.09 + 3988.09i 0.485706 + 0.485706i
\(408\) −7125.24 + 18561.9i −0.864588 + 2.25233i
\(409\) 5520.42 1173.40i 0.667401 0.141860i 0.138262 0.990396i \(-0.455848\pi\)
0.529139 + 0.848535i \(0.322515\pi\)
\(410\) 5299.05 + 6643.30i 0.638296 + 0.800217i
\(411\) 1678.24 7895.49i 0.201414 0.947581i
\(412\) −592.059 1161.98i −0.0707978 0.138948i
\(413\) −10572.5 + 1496.52i −1.25966 + 0.178302i
\(414\) −10791.8 + 3506.45i −1.28112 + 0.416263i
\(415\) −1383.46 2165.11i −0.163642 0.256100i
\(416\) 252.579 + 1188.29i 0.0297685 + 0.140050i
\(417\) 14397.5 11658.9i 1.69076 1.36915i
\(418\) −4306.72 + 1153.98i −0.503944 + 0.135031i
\(419\) 3601.32 + 2616.51i 0.419894 + 0.305071i 0.777595 0.628765i \(-0.216439\pi\)
−0.357701 + 0.933836i \(0.616439\pi\)
\(420\) 1791.56 535.255i 0.208141 0.0621852i
\(421\) 2152.87 1564.15i 0.249227 0.181074i −0.456157 0.889899i \(-0.650774\pi\)
0.705384 + 0.708825i \(0.250774\pi\)
\(422\) 7270.79 8978.68i 0.838713 1.03572i
\(423\) 5436.80 284.931i 0.624932 0.0327513i
\(424\) −3964.82 + 2289.09i −0.454125 + 0.262189i
\(425\) −13932.1 936.255i −1.59014 0.106859i
\(426\) 12383.4i 1.40840i
\(427\) 2172.18 7603.61i 0.246180 0.861743i
\(428\) 300.969 1900.24i 0.0339903 0.214607i
\(429\) 2853.42 299.906i 0.321129 0.0337520i
\(430\) 9911.89 2030.60i 1.11161 0.227731i
\(431\) 1515.71 14421.1i 0.169395 1.61169i −0.498130 0.867102i \(-0.665980\pi\)
0.667526 0.744587i \(-0.267353\pi\)
\(432\) 98.3882 + 367.190i 0.0109576 + 0.0408945i
\(433\) −715.165 4515.38i −0.0793733 0.501143i −0.995062 0.0992551i \(-0.968354\pi\)
0.915689 0.401888i \(-0.131646\pi\)
\(434\) 466.617 + 1096.27i 0.0516091 + 0.121250i
\(435\) −157.012 + 946.150i −0.0173061 + 0.104286i
\(436\) 2063.26 + 438.559i 0.226633 + 0.0481724i
\(437\) −8349.62 + 12857.3i −0.913997 + 1.40743i
\(438\) 2659.83 4095.78i 0.290163 0.446812i
\(439\) 10275.5 + 2184.12i 1.11713 + 0.237454i 0.729245 0.684253i \(-0.239872\pi\)
0.387888 + 0.921707i \(0.373205\pi\)
\(440\) 764.356 4605.98i 0.0828164 0.499049i
\(441\) −7943.38 + 5380.73i −0.857723 + 0.581010i
\(442\) 1012.35 + 6391.72i 0.108942 + 0.687835i
\(443\) −1544.61 5764.55i −0.165658 0.618244i −0.997955 0.0639147i \(-0.979641\pi\)
0.832297 0.554329i \(-0.187025\pi\)
\(444\) 306.026 2911.64i 0.0327102 0.311217i
\(445\) 6199.71 1270.11i 0.660437 0.135301i
\(446\) −11615.6 + 1220.84i −1.23321 + 0.129616i
\(447\) 2569.90 16225.7i 0.271928 1.71689i
\(448\) −10140.0 + 2538.82i −1.06935 + 0.267741i
\(449\) 9420.69i 0.990177i −0.868842 0.495089i \(-0.835136\pi\)
0.868842 0.495089i \(-0.164864\pi\)
\(450\) −7708.85 + 4846.15i −0.807552 + 0.507666i
\(451\) 4396.99 2538.60i 0.459082 0.265051i
\(452\) 846.591 44.3679i 0.0880979 0.00461702i
\(453\) −5232.09 + 6461.09i −0.542660 + 0.670129i
\(454\) −5004.66 + 3636.09i −0.517357 + 0.375882i
\(455\) 3162.78 3348.56i 0.325876 0.345018i
\(456\) 14171.3 + 10296.1i 1.45534 + 1.05736i
\(457\) 5295.53 1418.93i 0.542044 0.145240i 0.0225999 0.999745i \(-0.492806\pi\)
0.519444 + 0.854504i \(0.326139\pi\)
\(458\) −6139.74 + 4971.86i −0.626400 + 0.507249i
\(459\) −167.301 787.091i −0.0170130 0.0800398i
\(460\) −1142.11 1787.40i −0.115764 0.181170i
\(461\) −12462.2 + 4049.21i −1.25905 + 0.409090i −0.861155 0.508342i \(-0.830259\pi\)
−0.397893 + 0.917432i \(0.630259\pi\)
\(462\) 871.856 + 6159.44i 0.0877974 + 0.620266i
\(463\) 7427.76 + 14577.8i 0.745566 + 1.46326i 0.881323 + 0.472514i \(0.156653\pi\)
−0.135757 + 0.990742i \(0.543347\pi\)
\(464\) 126.948 597.245i 0.0127013 0.0597551i
\(465\) 1276.91 + 1600.83i 0.127344 + 0.159649i
\(466\) 5242.61 1114.35i 0.521157 0.110775i
\(467\) 219.057 570.662i 0.0217061 0.0565462i −0.922299 0.386477i \(-0.873692\pi\)
0.944005 + 0.329930i \(0.107025\pi\)
\(468\) −535.868 535.868i −0.0529284 0.0529284i
\(469\) −1375.70 + 965.303i −0.135446 + 0.0950396i
\(470\) −1711.45 5402.46i −0.167964 0.530206i
\(471\) −141.094 1342.42i −0.0138031 0.131328i
\(472\) 12921.3 4960.01i 1.26006 0.483692i
\(473\) −316.374 6036.77i −0.0307545 0.586831i
\(474\) −9730.03 + 16852.9i −0.942859 + 1.63308i
\(475\) −3973.61 + 11642.7i −0.383835 + 1.12464i
\(476\) 2472.99 483.235i 0.238129 0.0465316i
\(477\) 2421.82 4753.09i 0.232469 0.456245i
\(478\) −11551.6 9354.26i −1.10535 0.895092i
\(479\) 4350.70 + 1937.05i 0.415007 + 0.184773i 0.603609 0.797281i \(-0.293729\pi\)
−0.188602 + 0.982054i \(0.560396\pi\)
\(480\) −3937.09 + 2234.55i −0.374380 + 0.212485i
\(481\) −2933.40 6588.53i −0.278070 0.624556i
\(482\) −3865.64 + 3865.64i −0.365301 + 0.365301i
\(483\) 16399.0 + 13732.8i 1.54489 + 1.29372i
\(484\) 1191.20 + 387.044i 0.111871 + 0.0363490i
\(485\) −372.691 1433.07i −0.0348929 0.134170i
\(486\) 10446.9 + 9406.45i 0.975065 + 0.877953i
\(487\) 8626.15 + 5601.89i 0.802645 + 0.521244i 0.879557 0.475794i \(-0.157839\pi\)
−0.0769114 + 0.997038i \(0.524506\pi\)
\(488\) −536.443 + 10235.9i −0.0497615 + 0.949506i
\(489\) 8566.63 + 26365.4i 0.792222 + 2.43821i
\(490\) 7501.74 + 6592.55i 0.691620 + 0.607798i
\(491\) −512.088 + 1576.04i −0.0470676 + 0.144859i −0.971828 0.235690i \(-0.924265\pi\)
0.924761 + 0.380549i \(0.124265\pi\)
\(492\) −2460.48 944.489i −0.225461 0.0865464i
\(493\) −334.517 + 1248.43i −0.0305596 + 0.114050i
\(494\) 5670.16 + 595.958i 0.516422 + 0.0542782i
\(495\) 2176.08 + 4986.14i 0.197591 + 0.452748i
\(496\) −766.262 1054.67i −0.0693673 0.0954759i
\(497\) −10066.7 + 6304.23i −0.908562 + 0.568981i
\(498\) −3953.70 2014.51i −0.355762 0.181270i
\(499\) 3145.47 + 1816.04i 0.282185 + 0.162920i 0.634412 0.772995i \(-0.281242\pi\)
−0.352227 + 0.935915i \(0.614576\pi\)
\(500\) −1239.43 1166.63i −0.110858 0.104347i
\(501\) 10335.8 + 17902.1i 0.921693 + 1.59642i
\(502\) −10099.2 + 6558.53i −0.897911 + 0.583110i
\(503\) −13850.8 2193.75i −1.22778 0.194462i −0.491345 0.870965i \(-0.663495\pi\)
−0.736440 + 0.676503i \(0.763495\pi\)
\(504\) 8472.30 9103.43i 0.748782 0.804562i
\(505\) 4312.70 5844.84i 0.380025 0.515033i
\(506\) 6446.90 2870.35i 0.566403 0.252179i
\(507\) 12190.3 + 3266.38i 1.06783 + 0.286124i
\(508\) −2180.79 2693.05i −0.190466 0.235207i
\(509\) −6826.46 7581.55i −0.594455 0.660209i 0.368577 0.929597i \(-0.379845\pi\)
−0.963032 + 0.269389i \(0.913178\pi\)
\(510\) −21566.9 + 10789.4i −1.87255 + 0.936792i
\(511\) −4683.64 77.1270i −0.405464 0.00667690i
\(512\) 11598.1 5909.55i 1.00111 0.510093i
\(513\) −707.959 37.1026i −0.0609301 0.00319321i
\(514\) −1848.66 + 2053.14i −0.158640 + 0.176187i
\(515\) 3183.58 11540.4i 0.272399 0.987439i
\(516\) −2331.94 + 2099.68i −0.198949 + 0.179135i
\(517\) −3344.22 + 529.672i −0.284484 + 0.0450579i
\(518\) 14047.7 6868.72i 1.19155 0.582615i
\(519\) −12947.3 + 17820.5i −1.09504 + 1.50719i
\(520\) −3023.20 + 5148.34i −0.254954 + 0.434172i
\(521\) 1473.57 3309.70i 0.123913 0.278312i −0.840928 0.541146i \(-0.817991\pi\)
0.964841 + 0.262834i \(0.0846572\pi\)
\(522\) 302.038 + 786.836i 0.0253254 + 0.0659749i
\(523\) 1140.67 + 1756.47i 0.0953687 + 0.146855i 0.883134 0.469120i \(-0.155429\pi\)
−0.787766 + 0.615975i \(0.788762\pi\)
\(524\) −127.217 −0.0106059
\(525\) 15454.9 + 7467.19i 1.28478 + 0.620752i
\(526\) −19447.0 −1.61203
\(527\) 1502.94 + 2314.32i 0.124230 + 0.191297i
\(528\) −2439.29 6354.56i −0.201054 0.523762i
\(529\) 4920.61 11051.9i 0.404423 0.908349i
\(530\) −5422.83 1194.50i −0.444439 0.0978975i
\(531\) −9479.24 + 13047.1i −0.774697 + 1.06628i
\(532\) 152.669 2214.69i 0.0124418 0.180487i
\(533\) −6412.44 + 1015.63i −0.521113 + 0.0825363i
\(534\) 8122.08 7313.15i 0.658196 0.592642i
\(535\) 13806.8 11013.0i 1.11574 0.889972i
\(536\) 1457.60 1618.83i 0.117461 0.130453i
\(537\) −3991.68 209.195i −0.320770 0.0168109i
\(538\) 13254.0 6753.26i 1.06212 0.541178i
\(539\) 4563.30 3844.44i 0.364666 0.307221i
\(540\) 45.1738 87.0663i 0.00359995 0.00693840i
\(541\) −7318.93 8128.49i −0.581636 0.645973i 0.378468 0.925614i \(-0.376451\pi\)
−0.960104 + 0.279642i \(0.909784\pi\)
\(542\) −12579.2 15534.1i −0.996909 1.23108i
\(543\) −17168.5 4600.29i −1.35685 0.363568i
\(544\) −5573.20 + 2481.35i −0.439244 + 0.195564i
\(545\) 11265.7 + 15748.6i 0.885446 + 1.23779i
\(546\) 1781.78 7752.65i 0.139658 0.607661i
\(547\) −18193.9 2881.64i −1.42215 0.225247i −0.602505 0.798115i \(-0.705830\pi\)
−0.819647 + 0.572869i \(0.805830\pi\)
\(548\) 1112.05 722.171i 0.0866866 0.0562949i
\(549\) −5971.66 10343.2i −0.464233 0.804076i
\(550\) 4452.99 3498.55i 0.345229 0.271234i
\(551\) 986.134 + 569.344i 0.0762445 + 0.0440198i
\(552\) −24703.2 12586.9i −1.90478 0.970532i
\(553\) 18653.6 669.839i 1.43441 0.0515090i
\(554\) −4919.48 6771.08i −0.377272 0.519270i
\(555\) 20104.2 17835.4i 1.53761 1.36409i
\(556\) 3026.61 + 318.109i 0.230857 + 0.0242641i
\(557\) −5320.06 + 19854.7i −0.404700 + 1.51036i 0.399908 + 0.916555i \(0.369042\pi\)
−0.804608 + 0.593806i \(0.797625\pi\)
\(558\) 1679.95 + 644.871i 0.127451 + 0.0489239i
\(559\) −2388.70 + 7351.65i −0.180735 + 0.556246i
\(560\) −9615.33 5191.55i −0.725575 0.391756i
\(561\) 4452.35 + 13702.9i 0.335078 + 1.03126i
\(562\) −451.425 + 8613.71i −0.0338830 + 0.646526i
\(563\) 19374.2 + 12581.7i 1.45031 + 0.941841i 0.998770 + 0.0495894i \(0.0157913\pi\)
0.451538 + 0.892252i \(0.350875\pi\)
\(564\) 1306.14 + 1176.06i 0.0975152 + 0.0878031i
\(565\) 6011.59 + 4941.89i 0.447627 + 0.367977i
\(566\) 11384.1 + 3698.91i 0.845421 + 0.274694i
\(567\) 2244.43 12802.7i 0.166239 0.948261i
\(568\) 10886.5 10886.5i 0.804206 0.804206i
\(569\) −5347.93 12011.6i −0.394019 0.884981i −0.996239 0.0866505i \(-0.972384\pi\)
0.602220 0.798330i \(-0.294283\pi\)
\(570\) 4263.98 + 20813.6i 0.313331 + 1.52945i
\(571\) 3390.49 + 1509.54i 0.248489 + 0.110635i 0.527202 0.849740i \(-0.323241\pi\)
−0.278713 + 0.960375i \(0.589908\pi\)
\(572\) 366.278 + 296.606i 0.0267742 + 0.0216813i
\(573\) −268.622 + 527.201i −0.0195844 + 0.0384366i
\(574\) −2699.60 13815.4i −0.196305 1.00461i
\(575\) 3329.15 19184.7i 0.241452 1.39141i
\(576\) −7893.68 + 13672.2i −0.571012 + 0.989023i
\(577\) −502.301 9584.48i −0.0362410 0.691520i −0.954983 0.296661i \(-0.904127\pi\)
0.918742 0.394859i \(-0.129207\pi\)
\(578\) −18394.5 + 7060.98i −1.32372 + 0.508128i
\(579\) 526.414 + 5008.50i 0.0377842 + 0.359492i
\(580\) −128.139 + 91.6632i −0.00917359 + 0.00656225i
\(581\) 375.137 + 4239.61i 0.0267871 + 0.302735i
\(582\) −1808.25 1808.25i −0.128787 0.128787i
\(583\) −1188.94 + 3097.29i −0.0844611 + 0.220029i
\(584\) 5939.01 1262.38i 0.420819 0.0894478i
\(585\) −312.874 6949.64i −0.0221124 0.491166i
\(586\) 1655.53 7788.64i 0.116705 0.549054i
\(587\) 2647.77 + 5196.54i 0.186176 + 0.365390i 0.965163 0.261649i \(-0.0842664\pi\)
−0.778987 + 0.627040i \(0.784266\pi\)
\(588\) −3041.60 584.995i −0.213322 0.0410285i
\(589\) 2312.18 751.274i 0.161752 0.0525564i
\(590\) 15627.3 + 6131.28i 1.09045 + 0.427832i
\(591\) 422.138 + 1986.00i 0.0293815 + 0.138229i
\(592\) −13296.7 + 10767.4i −0.923125 + 0.747532i
\(593\) −11237.8 + 3011.17i −0.778218 + 0.208523i −0.625999 0.779824i \(-0.715309\pi\)
−0.152219 + 0.988347i \(0.548642\pi\)
\(594\) 264.012 + 191.816i 0.0182366 + 0.0132497i
\(595\) 19750.4 + 12039.5i 1.36082 + 0.829531i
\(596\) 2183.22 1586.20i 0.150047 0.109016i
\(597\) −13787.8 + 17026.5i −0.945219 + 1.16725i
\(598\) −9011.64 + 472.280i −0.616243 + 0.0322959i
\(599\) −17579.1 + 10149.3i −1.19910 + 0.692301i −0.960355 0.278781i \(-0.910070\pi\)
−0.238746 + 0.971082i \(0.576736\pi\)
\(600\) −21691.4 4945.91i −1.47591 0.336527i
\(601\) 14153.7i 0.960637i −0.877094 0.480318i \(-0.840521\pi\)
0.877094 0.480318i \(-0.159479\pi\)
\(602\) −16115.4 4603.79i −1.09105 0.311689i
\(603\) −397.066 + 2506.97i −0.0268155 + 0.169307i
\(604\) −1358.23 + 142.756i −0.0914996 + 0.00961700i
\(605\) 5675.25 + 9999.30i 0.381375 + 0.671950i
\(606\) 1311.26 12475.8i 0.0878980 0.836293i
\(607\) 4208.00 + 15704.5i 0.281380 + 1.05012i 0.951444 + 0.307821i \(0.0995997\pi\)
−0.670065 + 0.742303i \(0.733734\pi\)
\(608\) 840.795 + 5308.57i 0.0560835 + 0.354097i
\(609\) 954.871 1269.76i 0.0635358 0.0844884i
\(610\) −8855.37 + 8725.79i −0.587776 + 0.579175i
\(611\) 4235.04 + 900.185i 0.280411 + 0.0596032i
\(612\) 2072.71 3191.69i 0.136902 0.210811i
\(613\) 6898.76 10623.2i 0.454549 0.699944i −0.534886 0.844924i \(-0.679645\pi\)
0.989434 + 0.144981i \(0.0463120\pi\)
\(614\) −7521.70 1598.79i −0.494383 0.105084i
\(615\) −10824.4 21636.8i −0.709727 1.41867i
\(616\) −4648.44 + 6181.37i −0.304044 + 0.404310i
\(617\) 1.16761 + 7.37199i 7.61850e−5 + 0.000481013i 0.987726 0.156194i \(-0.0499225\pi\)
−0.987650 + 0.156675i \(0.949922\pi\)
\(618\) −5351.04 19970.4i −0.348302 1.29988i
\(619\) −1251.11 + 11903.5i −0.0812378 + 0.772926i 0.875744 + 0.482777i \(0.160372\pi\)
−0.956981 + 0.290149i \(0.906295\pi\)
\(620\) −37.6256 + 334.267i −0.00243723 + 0.0216524i
\(621\) 1115.93 117.289i 0.0721106 0.00757913i
\(622\) 981.019 6193.91i 0.0632400 0.399282i
\(623\) −10079.9 2879.59i −0.648221 0.185182i
\(624\) 8703.86i 0.558387i
\(625\) −1174.50 15580.8i −0.0751683 0.997171i
\(626\) 17069.7 9855.22i 1.08985 0.629224i
\(627\) 12676.4 664.341i 0.807409 0.0423145i
\(628\) 139.542 172.319i 0.00886674 0.0109495i
\(629\) 29300.3 21287.9i 1.85736 1.34945i
\(630\) 15034.1 1218.67i 0.950750 0.0770684i
\(631\) 4506.50 + 3274.16i 0.284312 + 0.206565i 0.720796 0.693147i \(-0.243776\pi\)
−0.436484 + 0.899712i \(0.643776\pi\)
\(632\) −23369.7 + 6261.89i −1.47088 + 0.394121i
\(633\) −25562.4 + 20700.0i −1.60507 + 1.29976i
\(634\) 216.547 + 1018.77i 0.0135649 + 0.0638180i
\(635\) 1898.92 31753.8i 0.118671 1.98443i
\(636\) 1637.87 532.177i 0.102116 0.0331795i
\(637\) −7209.39 + 2498.33i −0.448424 + 0.155396i
\(638\) −237.966 467.034i −0.0147667 0.0289813i
\(639\) −3729.80 + 17547.3i −0.230905 + 1.08632i
\(640\) 11132.9 + 3071.18i 0.687607 + 0.189686i
\(641\) 22324.6 4745.24i 1.37561 0.292396i 0.539978 0.841679i \(-0.318432\pi\)
0.835636 + 0.549283i \(0.185099\pi\)
\(642\) 10930.5 28475.0i 0.671953 1.75050i
\(643\) 10194.5 + 10194.5i 0.625246 + 0.625246i 0.946868 0.321622i \(-0.104228\pi\)
−0.321622 + 0.946868i \(0.604228\pi\)
\(644\) 309.693 + 3500.00i 0.0189497 + 0.214160i
\(645\) −28804.5 212.297i −1.75841 0.0129600i
\(646\) 2992.76 + 28474.2i 0.182273 + 1.73421i
\(647\) −6072.63 + 2331.06i −0.368995 + 0.141644i −0.535798 0.844346i \(-0.679989\pi\)
0.166803 + 0.985990i \(0.446656\pi\)
\(648\) 881.745 + 16824.7i 0.0534541 + 1.01996i
\(649\) 5014.88 8686.02i 0.303315 0.525356i
\(650\) −6919.19 + 2135.95i −0.417528 + 0.128891i
\(651\) −650.521 3329.09i −0.0391643 0.200426i
\(652\) −2067.43 + 4057.57i −0.124182 + 0.243722i
\(653\) −17047.6 13804.9i −1.02163 0.827299i −0.0365379 0.999332i \(-0.511633\pi\)
−0.985091 + 0.172033i \(0.944966\pi\)
\(654\) 30549.4 + 13601.5i 1.82657 + 0.813241i
\(655\) −862.076 787.798i −0.0514261 0.0469951i
\(656\) 6264.68 + 14070.7i 0.372857 + 0.837452i
\(657\) −5002.61 + 5002.61i −0.297063 + 0.297063i
\(658\) −1620.99 + 9246.49i −0.0960379 + 0.547821i
\(659\) 2179.68 + 708.221i 0.128844 + 0.0418640i 0.372729 0.927940i \(-0.378422\pi\)
−0.243885 + 0.969804i \(0.578422\pi\)
\(660\) −641.474 + 1634.98i −0.0378323 + 0.0964263i
\(661\) −9784.35 8809.87i −0.575745 0.518403i 0.329015 0.944325i \(-0.393283\pi\)
−0.904760 + 0.425922i \(0.859950\pi\)
\(662\) 8945.38 + 5809.20i 0.525184 + 0.341059i
\(663\) 964.242 18398.8i 0.0564827 1.07775i
\(664\) −1704.79 5246.79i −0.0996363 0.306649i
\(665\) 14749.1 14062.2i 0.860069 0.820015i
\(666\) 7298.07 22461.1i 0.424616 1.30683i
\(667\) −1682.58 645.881i −0.0976757 0.0374942i
\(668\) −878.873 + 3280.00i −0.0509051 + 0.189980i
\(669\) 33069.5 + 3475.75i 1.91113 + 0.200867i
\(670\) 2629.59 256.801i 0.151627 0.0148076i
\(671\) 4365.95 + 6009.22i 0.251186 + 0.345728i
\(672\) 7494.18 269.112i 0.430200 0.0154483i
\(673\) 8654.75 + 4409.81i 0.495715 + 0.252579i 0.683929 0.729549i \(-0.260270\pi\)
−0.188214 + 0.982128i \(0.560270\pi\)
\(674\) −26892.6 15526.4i −1.53689 0.887323i
\(675\) 845.277 310.255i 0.0481996 0.0176915i
\(676\) 1036.57 + 1795.39i 0.0589763 + 0.102150i
\(677\) −25562.3 + 16600.3i −1.45116 + 0.942397i −0.452445 + 0.891792i \(0.649448\pi\)
−0.998719 + 0.0506047i \(0.983885\pi\)
\(678\) 13274.3 + 2102.45i 0.751914 + 0.119091i
\(679\) −549.410 + 2390.52i −0.0310522 + 0.135110i
\(680\) −28445.2 9474.75i −1.60415 0.534324i
\(681\) 16089.2 7163.38i 0.905345 0.403086i
\(682\) −1080.99 289.651i −0.0606940 0.0162629i
\(683\) −19134.7 23629.4i −1.07199 1.32380i −0.943237 0.332120i \(-0.892236\pi\)
−0.128752 0.991677i \(-0.541097\pi\)
\(684\) −2243.49 2491.64i −0.125412 0.139284i
\(685\) 12007.7 + 1992.67i 0.669770 + 0.111147i
\(686\) −5974.31 15426.9i −0.332508 0.858601i
\(687\) 20040.9 10211.3i 1.11296 0.567084i
\(688\) 18313.2 + 959.756i 1.01480 + 0.0531837i
\(689\) 2838.70 3152.70i 0.156961 0.174323i
\(690\) −11819.3 31481.8i −0.652104 1.73695i
\(691\) 22838.0 20563.4i 1.25731 1.13208i 0.271816 0.962349i \(-0.412376\pi\)
0.985490 0.169734i \(-0.0542909\pi\)
\(692\) −3573.87 + 566.046i −0.196327 + 0.0310951i
\(693\) 619.760 8990.55i 0.0339722 0.492818i
\(694\) −16250.7 + 22367.2i −0.888859 + 1.22341i
\(695\) 18539.6 + 20898.0i 1.01187 + 1.14059i
\(696\) −837.592 + 1881.26i −0.0456161 + 0.102456i
\(697\) −11683.9 30437.6i −0.634950 1.65410i
\(698\) 149.360 + 229.994i 0.00809936 + 0.0124719i
\(699\) −15259.2 −0.825687
\(700\) 927.822 + 2662.54i 0.0500977 + 0.143764i
\(701\) 10261.1 0.552865 0.276432 0.961033i \(-0.410848\pi\)
0.276432 + 0.961033i \(0.410848\pi\)
\(702\) −227.276 349.975i −0.0122194 0.0188162i
\(703\) −11434.8 29788.6i −0.613471 1.59815i
\(704\) 3993.54 8969.64i 0.213796 0.480193i
\(705\) 1568.17 + 16057.8i 0.0837743 + 0.857831i
\(706\) −12318.4 + 16954.8i −0.656670 + 0.903829i
\(707\) −10809.4 + 5285.31i −0.575006 + 0.281152i
\(708\) −5142.25 + 814.453i −0.272963 + 0.0432331i
\(709\) 1559.19 1403.90i 0.0825905 0.0743648i −0.626801 0.779179i \(-0.715636\pi\)
0.709392 + 0.704814i \(0.248970\pi\)
\(710\) 18654.6 839.833i 0.986049 0.0443921i
\(711\) 18863.5 20950.0i 0.994987 1.10505i
\(712\) 13569.5 + 711.146i 0.714238 + 0.0374316i
\(713\) −3428.59 + 1746.95i −0.180086 + 0.0917586i
\(714\) 39941.5 + 657.730i 2.09352 + 0.0344747i
\(715\) 645.302 + 4278.11i 0.0337524 + 0.223765i
\(716\) −439.359 487.957i −0.0229324 0.0254690i
\(717\) 26631.6 + 32887.3i 1.38714 + 1.71297i
\(718\) 14052.7 + 3765.41i 0.730422 + 0.195716i
\(719\) −18024.2 + 8024.90i −0.934895 + 0.416242i −0.816905 0.576773i \(-0.804312\pi\)
−0.117990 + 0.993015i \(0.537645\pi\)
\(720\) −15733.2 + 4984.14i −0.814364 + 0.257983i
\(721\) −13510.2 + 14516.7i −0.697846 + 0.749831i
\(722\) 7271.27 + 1151.66i 0.374804 + 0.0593631i
\(723\) 13053.2 8476.82i 0.671442 0.436039i
\(724\) −1459.88 2528.58i −0.0749391 0.129798i
\(725\) −1435.95 172.359i −0.0735584 0.00882932i
\(726\) 17196.2 + 9928.23i 0.879078 + 0.507536i
\(727\) 5743.34 + 2926.38i 0.292997 + 0.149289i 0.594310 0.804236i \(-0.297425\pi\)
−0.301313 + 0.953525i \(0.597425\pi\)
\(728\) 8381.94 5249.13i 0.426724 0.267233i
\(729\) −12386.5 17048.5i −0.629298 0.866154i
\(730\) 6350.35 + 3729.05i 0.321969 + 0.189066i
\(731\) −38605.5 4057.60i −1.95332 0.205302i
\(732\) 997.929 3724.32i 0.0503887 0.188053i
\(733\) 20238.7 + 7768.89i 1.01983 + 0.391474i 0.810103 0.586287i \(-0.199411\pi\)
0.209722 + 0.977761i \(0.432744\pi\)
\(734\) −7520.57 + 23145.9i −0.378187 + 1.16394i
\(735\) −16988.5 22799.4i −0.852557 1.14417i
\(736\) −2628.81 8090.63i −0.131656 0.405197i
\(737\) 82.6163 1576.41i 0.00412918 0.0787895i
\(738\) −17830.4 11579.2i −0.889359 0.577556i
\(739\) −2220.33 1999.19i −0.110522 0.0995148i 0.612017 0.790845i \(-0.290358\pi\)
−0.722539 + 0.691330i \(0.757025\pi\)
\(740\) 4406.91 + 263.538i 0.218920 + 0.0130917i
\(741\) −15437.4 5015.93i −0.765329 0.248670i
\(742\) 7052.12 + 5905.58i 0.348911 + 0.292184i
\(743\) −21852.7 + 21852.7i −1.07900 + 1.07900i −0.0824042 + 0.996599i \(0.526260\pi\)
−0.996599 + 0.0824042i \(0.973740\pi\)
\(744\) 1788.31 + 4016.61i 0.0881219 + 0.197925i
\(745\) 24617.0 + 2770.93i 1.21060 + 0.136267i
\(746\) 5376.17 + 2393.62i 0.263855 + 0.117476i
\(747\) 4995.65 + 4045.39i 0.244687 + 0.198144i
\(748\) −1074.51 + 2108.85i −0.0525241 + 0.103084i
\(749\) −28712.6 + 5610.60i −1.40072 + 0.273707i
\(750\) −15374.6 22176.3i −0.748534 1.07968i
\(751\) 14877.0 25767.8i 0.722864 1.25204i −0.236983 0.971514i \(-0.576159\pi\)
0.959847 0.280524i \(-0.0905081\pi\)
\(752\) −537.570 10257.4i −0.0260680 0.497408i
\(753\) 32006.5 12286.1i 1.54898 0.594597i
\(754\) 70.0618 + 666.593i 0.00338395 + 0.0321961i
\(755\) −10088.0 7443.54i −0.486276 0.358806i
\(756\) −133.006 + 93.3276i −0.00639865 + 0.00448981i
\(757\) 23735.0 + 23735.0i 1.13958 + 1.13958i 0.988525 + 0.151056i \(0.0482674\pi\)
0.151056 + 0.988525i \(0.451733\pi\)
\(758\) −3169.56 + 8256.98i −0.151878 + 0.395656i
\(759\) −19652.3 + 4177.23i −0.939833 + 0.199768i
\(760\) −14549.2 + 22046.3i −0.694412 + 1.05224i
\(761\) −7338.91 + 34526.9i −0.349586 + 1.64468i 0.354861 + 0.934919i \(0.384528\pi\)
−0.704448 + 0.709756i \(0.748805\pi\)
\(762\) −24940.9 48949.4i −1.18572 2.32710i
\(763\) −4495.37 31758.7i −0.213294 1.50687i
\(764\) −92.4398 + 30.0355i −0.00437743 + 0.00142231i
\(765\) 33810.1 8792.84i 1.59792 0.415563i
\(766\) 6318.22 + 29724.9i 0.298024 + 1.40209i
\(767\) −9967.16 + 8071.25i −0.469222 + 0.379968i
\(768\) &mi