Properties

Label 105.4.s.a.26.6
Level $105$
Weight $4$
Character 105.26
Analytic conductor $6.195$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 105 = 3 \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 105.s (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.19520055060\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(16\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 26.6
Character \(\chi\) \(=\) 105.26
Dual form 105.4.s.a.101.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.35336 - 0.781362i) q^{2} +(-5.18197 + 0.383668i) q^{3} +(-2.77895 - 4.81328i) q^{4} +(-2.50000 + 4.33013i) q^{5} +(7.31285 + 3.52975i) q^{6} +(-17.7664 + 5.23007i) q^{7} +21.1872i q^{8} +(26.7056 - 3.97631i) q^{9} +O(q^{10})\) \(q+(-1.35336 - 0.781362i) q^{2} +(-5.18197 + 0.383668i) q^{3} +(-2.77895 - 4.81328i) q^{4} +(-2.50000 + 4.33013i) q^{5} +(7.31285 + 3.52975i) q^{6} +(-17.7664 + 5.23007i) q^{7} +21.1872i q^{8} +(26.7056 - 3.97631i) q^{9} +(6.76679 - 3.90681i) q^{10} +(26.1426 - 15.0935i) q^{11} +(16.2471 + 23.8761i) q^{12} -59.7880i q^{13} +(28.1309 + 6.80387i) q^{14} +(11.2936 - 23.3978i) q^{15} +(-5.67667 + 9.83227i) q^{16} +(59.7827 + 103.547i) q^{17} +(-39.2492 - 15.4854i) q^{18} +(102.212 + 59.0123i) q^{19} +27.7895 q^{20} +(90.0585 - 33.9185i) q^{21} -47.1738 q^{22} +(65.0867 + 37.5778i) q^{23} +(-8.12888 - 109.792i) q^{24} +(-12.5000 - 21.6506i) q^{25} +(-46.7161 + 80.9146i) q^{26} +(-136.862 + 30.8512i) q^{27} +(74.5457 + 70.9807i) q^{28} -189.451i q^{29} +(-33.5664 + 22.8412i) q^{30} +(-211.357 + 122.027i) q^{31} +(162.155 - 93.6200i) q^{32} +(-129.679 + 88.2439i) q^{33} -186.848i q^{34} +(21.7693 - 90.0061i) q^{35} +(-93.3525 - 117.491i) q^{36} +(-61.8489 + 107.125i) q^{37} +(-92.2200 - 159.730i) q^{38} +(22.9388 + 309.820i) q^{39} +(-91.7435 - 52.9681i) q^{40} +344.535 q^{41} +(-148.384 - 24.4645i) q^{42} +88.4283 q^{43} +(-145.298 - 83.8878i) q^{44} +(-49.5460 + 125.579i) q^{45} +(-58.7238 - 101.713i) q^{46} +(-278.061 + 481.616i) q^{47} +(25.6440 - 53.1285i) q^{48} +(288.293 - 185.839i) q^{49} +39.0681i q^{50} +(-349.519 - 513.639i) q^{51} +(-287.776 + 166.148i) q^{52} +(-78.7698 + 45.4778i) q^{53} +(209.329 + 65.1860i) q^{54} +150.935i q^{55} +(-110.811 - 376.422i) q^{56} +(-552.302 - 266.584i) q^{57} +(-148.030 + 256.395i) q^{58} +(136.583 + 236.569i) q^{59} +(-144.004 + 10.6619i) q^{60} +(368.048 + 212.492i) q^{61} +381.389 q^{62} +(-453.667 + 210.317i) q^{63} -201.778 q^{64} +(258.890 + 149.470i) q^{65} +(244.453 - 18.0991i) q^{66} +(60.2695 + 104.390i) q^{67} +(332.266 - 575.501i) q^{68} +(-351.695 - 169.755i) q^{69} +(-99.7890 + 104.801i) q^{70} +222.156i q^{71} +(84.2472 + 565.818i) q^{72} +(853.939 - 493.022i) q^{73} +(167.407 - 96.6527i) q^{74} +(73.0813 + 107.397i) q^{75} -655.969i q^{76} +(-385.522 + 404.885i) q^{77} +(211.037 - 437.221i) q^{78} +(335.113 - 580.432i) q^{79} +(-28.3833 - 49.1614i) q^{80} +(697.378 - 212.380i) q^{81} +(-466.279 - 269.206i) q^{82} +778.740 q^{83} +(-413.527 - 339.219i) q^{84} -597.827 q^{85} +(-119.675 - 69.0945i) q^{86} +(72.6863 + 981.728i) q^{87} +(319.789 + 553.890i) q^{88} +(-406.705 + 704.434i) q^{89} +(165.177 - 131.241i) q^{90} +(312.695 + 1062.22i) q^{91} -417.707i q^{92} +(1048.43 - 713.431i) q^{93} +(752.633 - 434.533i) q^{94} +(-511.062 + 295.062i) q^{95} +(-804.361 + 547.350i) q^{96} -288.573i q^{97} +(-535.371 + 26.2462i) q^{98} +(638.138 - 507.031i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{3} + 64q^{4} - 80q^{5} - 28q^{6} + 46q^{7} + 100q^{9} + O(q^{10}) \) \( 32q - 2q^{3} + 64q^{4} - 80q^{5} - 28q^{6} + 46q^{7} + 100q^{9} + 36q^{11} + 246q^{12} + 18q^{14} + 20q^{15} - 376q^{16} - 72q^{17} - 442q^{18} - 198q^{19} - 640q^{20} - 218q^{21} + 204q^{22} + 72q^{23} - 50q^{24} - 400q^{25} - 312q^{26} + 508q^{27} + 350q^{28} + 40q^{30} + 510q^{31} + 810q^{32} + 290q^{33} - 70q^{35} - 612q^{36} - 658q^{37} - 192q^{38} - 648q^{39} - 1404q^{41} + 1892q^{42} + 332q^{43} + 2034q^{44} - 490q^{45} - 468q^{46} + 408q^{47} + 2810q^{48} + 980q^{49} - 888q^{51} + 3378q^{52} + 1152q^{53} + 2714q^{54} - 3354q^{56} - 816q^{57} - 1080q^{58} - 48q^{59} - 420q^{60} - 1662q^{61} - 2076q^{62} + 874q^{63} - 1952q^{64} + 870q^{65} - 1892q^{66} - 1298q^{67} + 1182q^{68} + 2450q^{69} - 450q^{70} - 2708q^{72} + 378q^{73} + 2898q^{74} - 50q^{75} - 3528q^{77} - 1896q^{78} - 326q^{79} - 1880q^{80} - 3308q^{81} - 2916q^{82} - 1536q^{83} + 1380q^{84} + 720q^{85} + 5202q^{86} - 1090q^{87} + 1668q^{88} - 1590q^{89} + 910q^{90} + 2082q^{91} - 4950q^{93} - 1152q^{94} + 990q^{95} + 7416q^{96} - 7830q^{98} + 3128q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).

\(n\) \(22\) \(31\) \(71\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.35336 0.781362i −0.478485 0.276253i 0.241300 0.970451i \(-0.422426\pi\)
−0.719785 + 0.694197i \(0.755759\pi\)
\(3\) −5.18197 + 0.383668i −0.997270 + 0.0738370i
\(4\) −2.77895 4.81328i −0.347368 0.601660i
\(5\) −2.50000 + 4.33013i −0.223607 + 0.387298i
\(6\) 7.31285 + 3.52975i 0.497576 + 0.240169i
\(7\) −17.7664 + 5.23007i −0.959298 + 0.282397i
\(8\) 21.1872i 0.936353i
\(9\) 26.7056 3.97631i 0.989096 0.147271i
\(10\) 6.76679 3.90681i 0.213985 0.123544i
\(11\) 26.1426 15.0935i 0.716573 0.413713i −0.0969173 0.995292i \(-0.530898\pi\)
0.813490 + 0.581579i \(0.197565\pi\)
\(12\) 16.2471 + 23.8761i 0.390845 + 0.574369i
\(13\) 59.7880i 1.27555i −0.770221 0.637777i \(-0.779854\pi\)
0.770221 0.637777i \(-0.220146\pi\)
\(14\) 28.1309 + 6.80387i 0.537022 + 0.129886i
\(15\) 11.2936 23.3978i 0.194399 0.402752i
\(16\) −5.67667 + 9.83227i −0.0886979 + 0.153629i
\(17\) 59.7827 + 103.547i 0.852907 + 1.47728i 0.878573 + 0.477608i \(0.158496\pi\)
−0.0256655 + 0.999671i \(0.508170\pi\)
\(18\) −39.2492 15.4854i −0.513951 0.202774i
\(19\) 102.212 + 59.0123i 1.23416 + 0.712545i 0.967895 0.251354i \(-0.0808757\pi\)
0.266269 + 0.963899i \(0.414209\pi\)
\(20\) 27.7895 0.310696
\(21\) 90.0585 33.9185i 0.935828 0.352458i
\(22\) −47.1738 −0.457159
\(23\) 65.0867 + 37.5778i 0.590066 + 0.340675i 0.765124 0.643884i \(-0.222678\pi\)
−0.175058 + 0.984558i \(0.556011\pi\)
\(24\) −8.12888 109.792i −0.0691375 0.933797i
\(25\) −12.5000 21.6506i −0.100000 0.173205i
\(26\) −46.7161 + 80.9146i −0.352376 + 0.610333i
\(27\) −136.862 + 30.8512i −0.975522 + 0.219901i
\(28\) 74.5457 + 70.9807i 0.503137 + 0.479075i
\(29\) 189.451i 1.21311i −0.795042 0.606554i \(-0.792551\pi\)
0.795042 0.606554i \(-0.207449\pi\)
\(30\) −33.5664 + 22.8412i −0.204279 + 0.139007i
\(31\) −211.357 + 122.027i −1.22454 + 0.706990i −0.965883 0.258978i \(-0.916614\pi\)
−0.258660 + 0.965968i \(0.583281\pi\)
\(32\) 162.155 93.6200i 0.895786 0.517183i
\(33\) −129.679 + 88.2439i −0.684069 + 0.465494i
\(34\) 186.848i 0.942474i
\(35\) 21.7693 90.0061i 0.105134 0.434680i
\(36\) −93.3525 117.491i −0.432188 0.543942i
\(37\) −61.8489 + 107.125i −0.274808 + 0.475981i −0.970087 0.242759i \(-0.921948\pi\)
0.695279 + 0.718740i \(0.255281\pi\)
\(38\) −92.2200 159.730i −0.393686 0.681884i
\(39\) 22.9388 + 309.820i 0.0941832 + 1.27207i
\(40\) −91.7435 52.9681i −0.362648 0.209375i
\(41\) 344.535 1.31237 0.656186 0.754599i \(-0.272169\pi\)
0.656186 + 0.754599i \(0.272169\pi\)
\(42\) −148.384 24.4645i −0.545147 0.0898798i
\(43\) 88.4283 0.313609 0.156805 0.987630i \(-0.449881\pi\)
0.156805 + 0.987630i \(0.449881\pi\)
\(44\) −145.298 83.8878i −0.497829 0.287422i
\(45\) −49.5460 + 125.579i −0.164131 + 0.416006i
\(46\) −58.7238 101.713i −0.188225 0.326015i
\(47\) −278.061 + 481.616i −0.862966 + 1.49470i 0.00608661 + 0.999981i \(0.498063\pi\)
−0.869053 + 0.494720i \(0.835271\pi\)
\(48\) 25.6440 53.1285i 0.0771123 0.159759i
\(49\) 288.293 185.839i 0.840504 0.541806i
\(50\) 39.0681i 0.110501i
\(51\) −349.519 513.639i −0.959657 1.41027i
\(52\) −287.776 + 166.148i −0.767450 + 0.443087i
\(53\) −78.7698 + 45.4778i −0.204148 + 0.117865i −0.598589 0.801056i \(-0.704272\pi\)
0.394441 + 0.918921i \(0.370938\pi\)
\(54\) 209.329 + 65.1860i 0.527521 + 0.164272i
\(55\) 150.935i 0.370036i
\(56\) −110.811 376.422i −0.264423 0.898241i
\(57\) −552.302 266.584i −1.28341 0.619473i
\(58\) −148.030 + 256.395i −0.335125 + 0.580453i
\(59\) 136.583 + 236.569i 0.301384 + 0.522012i 0.976450 0.215746i \(-0.0692182\pi\)
−0.675066 + 0.737757i \(0.735885\pi\)
\(60\) −144.004 + 10.6619i −0.309848 + 0.0229408i
\(61\) 368.048 + 212.492i 0.772519 + 0.446014i 0.833773 0.552108i \(-0.186176\pi\)
−0.0612533 + 0.998122i \(0.519510\pi\)
\(62\) 381.389 0.781233
\(63\) −453.667 + 210.317i −0.907249 + 0.420594i
\(64\) −201.778 −0.394098
\(65\) 258.890 + 149.470i 0.494020 + 0.285223i
\(66\) 244.453 18.0991i 0.455911 0.0337552i
\(67\) 60.2695 + 104.390i 0.109897 + 0.190347i 0.915728 0.401798i \(-0.131615\pi\)
−0.805831 + 0.592145i \(0.798281\pi\)
\(68\) 332.266 575.501i 0.592546 1.02632i
\(69\) −351.695 169.755i −0.613609 0.296176i
\(70\) −99.7890 + 104.801i −0.170387 + 0.178944i
\(71\) 222.156i 0.371340i 0.982612 + 0.185670i \(0.0594455\pi\)
−0.982612 + 0.185670i \(0.940555\pi\)
\(72\) 84.2472 + 565.818i 0.137898 + 0.926143i
\(73\) 853.939 493.022i 1.36912 0.790463i 0.378307 0.925680i \(-0.376506\pi\)
0.990816 + 0.135217i \(0.0431731\pi\)
\(74\) 167.407 96.6527i 0.262983 0.151833i
\(75\) 73.0813 + 107.397i 0.112516 + 0.165349i
\(76\) 655.969i 0.990063i
\(77\) −385.522 + 404.885i −0.570575 + 0.599232i
\(78\) 211.037 437.221i 0.306349 0.634686i
\(79\) 335.113 580.432i 0.477255 0.826629i −0.522406 0.852697i \(-0.674965\pi\)
0.999660 + 0.0260680i \(0.00829864\pi\)
\(80\) −28.3833 49.1614i −0.0396669 0.0687051i
\(81\) 697.378 212.380i 0.956623 0.291330i
\(82\) −466.279 269.206i −0.627950 0.362547i
\(83\) 778.740 1.02985 0.514927 0.857234i \(-0.327819\pi\)
0.514927 + 0.857234i \(0.327819\pi\)
\(84\) −413.527 339.219i −0.537137 0.440617i
\(85\) −597.827 −0.762864
\(86\) −119.675 69.0945i −0.150057 0.0866355i
\(87\) 72.6863 + 981.728i 0.0895722 + 1.20980i
\(88\) 319.789 + 553.890i 0.387382 + 0.670965i
\(89\) −406.705 + 704.434i −0.484390 + 0.838988i −0.999839 0.0179324i \(-0.994292\pi\)
0.515450 + 0.856920i \(0.327625\pi\)
\(90\) 165.177 131.241i 0.193457 0.153711i
\(91\) 312.695 + 1062.22i 0.360213 + 1.22364i
\(92\) 417.707i 0.473358i
\(93\) 1048.43 713.431i 1.16900 0.795477i
\(94\) 752.633 434.533i 0.825832 0.476794i
\(95\) −511.062 + 295.062i −0.551935 + 0.318660i
\(96\) −804.361 + 547.350i −0.855154 + 0.581913i
\(97\) 288.573i 0.302064i −0.988529 0.151032i \(-0.951740\pi\)
0.988529 0.151032i \(-0.0482596\pi\)
\(98\) −535.371 + 26.2462i −0.551844 + 0.0270537i
\(99\) 638.138 507.031i 0.647831 0.514733i
\(100\) −69.4737 + 120.332i −0.0694737 + 0.120332i
\(101\) 528.273 + 914.996i 0.520447 + 0.901440i 0.999717 + 0.0237732i \(0.00756797\pi\)
−0.479270 + 0.877667i \(0.659099\pi\)
\(102\) 71.6875 + 968.238i 0.0695894 + 0.939901i
\(103\) −76.6945 44.2796i −0.0733682 0.0423592i 0.462867 0.886428i \(-0.346821\pi\)
−0.536235 + 0.844069i \(0.680154\pi\)
\(104\) 1266.74 1.19437
\(105\) −78.2751 + 474.761i −0.0727511 + 0.441256i
\(106\) 142.138 0.130242
\(107\) 730.279 + 421.627i 0.659801 + 0.380936i 0.792201 0.610260i \(-0.208935\pi\)
−0.132400 + 0.991196i \(0.542268\pi\)
\(108\) 528.828 + 573.021i 0.471171 + 0.510546i
\(109\) −126.194 218.574i −0.110891 0.192070i 0.805238 0.592951i \(-0.202037\pi\)
−0.916130 + 0.400881i \(0.868704\pi\)
\(110\) 117.935 204.269i 0.102224 0.177057i
\(111\) 279.398 578.850i 0.238913 0.494973i
\(112\) 49.4307 204.374i 0.0417032 0.172424i
\(113\) 370.182i 0.308175i −0.988057 0.154087i \(-0.950756\pi\)
0.988057 0.154087i \(-0.0492437\pi\)
\(114\) 539.164 + 792.332i 0.442959 + 0.650954i
\(115\) −325.433 + 187.889i −0.263885 + 0.152354i
\(116\) −911.879 + 526.474i −0.729878 + 0.421395i
\(117\) −237.736 1596.67i −0.187852 1.26165i
\(118\) 426.884i 0.333033i
\(119\) −1603.68 1526.99i −1.23537 1.17629i
\(120\) 495.734 + 239.280i 0.377118 + 0.182026i
\(121\) −209.875 + 363.515i −0.157682 + 0.273114i
\(122\) −332.067 575.157i −0.246426 0.426822i
\(123\) −1785.37 + 132.187i −1.30879 + 0.0969017i
\(124\) 1174.70 + 678.213i 0.850735 + 0.491172i
\(125\) 125.000 0.0894427
\(126\) 778.308 + 69.8439i 0.550295 + 0.0493824i
\(127\) −1584.79 −1.10730 −0.553651 0.832749i \(-0.686766\pi\)
−0.553651 + 0.832749i \(0.686766\pi\)
\(128\) −1024.16 591.299i −0.707217 0.408312i
\(129\) −458.233 + 33.9271i −0.312753 + 0.0231560i
\(130\) −233.580 404.573i −0.157587 0.272949i
\(131\) −283.491 + 491.022i −0.189075 + 0.327487i −0.944942 0.327238i \(-0.893882\pi\)
0.755867 + 0.654725i \(0.227215\pi\)
\(132\) 785.114 + 378.958i 0.517693 + 0.249879i
\(133\) −2124.59 513.862i −1.38515 0.335019i
\(134\) 188.369i 0.121437i
\(135\) 208.565 669.758i 0.132966 0.426989i
\(136\) −2193.87 + 1266.63i −1.38325 + 0.798622i
\(137\) 1356.67 783.273i 0.846044 0.488463i −0.0132704 0.999912i \(-0.504224\pi\)
0.859314 + 0.511448i \(0.170891\pi\)
\(138\) 343.329 + 504.541i 0.211783 + 0.311227i
\(139\) 143.032i 0.0872791i 0.999047 + 0.0436396i \(0.0138953\pi\)
−0.999047 + 0.0436396i \(0.986105\pi\)
\(140\) −493.720 + 145.341i −0.298050 + 0.0877395i
\(141\) 1256.12 2602.40i 0.750246 1.55434i
\(142\) 173.585 300.657i 0.102584 0.177680i
\(143\) −902.408 1563.02i −0.527714 0.914028i
\(144\) −112.503 + 285.149i −0.0651056 + 0.165017i
\(145\) 820.346 + 473.627i 0.469835 + 0.271259i
\(146\) −1540.91 −0.873472
\(147\) −1422.62 + 1073.62i −0.798204 + 0.602387i
\(148\) 687.499 0.381838
\(149\) −55.1209 31.8240i −0.0303066 0.0174975i 0.484770 0.874642i \(-0.338903\pi\)
−0.515077 + 0.857144i \(0.672237\pi\)
\(150\) −14.9892 202.450i −0.00815908 0.110200i
\(151\) 412.551 + 714.560i 0.222337 + 0.385100i 0.955517 0.294935i \(-0.0952980\pi\)
−0.733180 + 0.680035i \(0.761965\pi\)
\(152\) −1250.31 + 2165.60i −0.667194 + 1.15561i
\(153\) 2008.27 + 2527.56i 1.06117 + 1.33556i
\(154\) 838.111 246.722i 0.438551 0.129100i
\(155\) 1220.27i 0.632351i
\(156\) 1427.50 971.383i 0.732639 0.498544i
\(157\) 2597.70 1499.78i 1.32050 0.762393i 0.336695 0.941614i \(-0.390691\pi\)
0.983809 + 0.179220i \(0.0573574\pi\)
\(158\) −907.055 + 523.688i −0.456718 + 0.263686i
\(159\) 390.734 265.886i 0.194888 0.132617i
\(160\) 936.200i 0.462582i
\(161\) −1352.89 327.216i −0.662254 0.160176i
\(162\) −1109.75 257.479i −0.538210 0.124873i
\(163\) −453.105 + 784.801i −0.217730 + 0.377119i −0.954114 0.299445i \(-0.903198\pi\)
0.736384 + 0.676564i \(0.236532\pi\)
\(164\) −957.443 1658.34i −0.455877 0.789602i
\(165\) −57.9088 782.138i −0.0273224 0.369026i
\(166\) −1053.91 608.478i −0.492769 0.284500i
\(167\) −2643.69 −1.22500 −0.612499 0.790471i \(-0.709836\pi\)
−0.612499 + 0.790471i \(0.709836\pi\)
\(168\) 718.639 + 1908.09i 0.330025 + 0.876265i
\(169\) −1377.61 −0.627040
\(170\) 809.074 + 467.119i 0.365018 + 0.210743i
\(171\) 2964.29 + 1169.53i 1.32564 + 0.523019i
\(172\) −245.738 425.630i −0.108938 0.188686i
\(173\) −657.338 + 1138.54i −0.288881 + 0.500357i −0.973543 0.228504i \(-0.926617\pi\)
0.684662 + 0.728861i \(0.259950\pi\)
\(174\) 668.714 1385.42i 0.291351 0.603613i
\(175\) 335.315 + 319.279i 0.144842 + 0.137916i
\(176\) 342.722i 0.146782i
\(177\) −798.534 1173.49i −0.339105 0.498333i
\(178\) 1100.84 635.568i 0.463546 0.267628i
\(179\) −691.886 + 399.461i −0.288905 + 0.166799i −0.637448 0.770493i \(-0.720010\pi\)
0.348543 + 0.937293i \(0.386677\pi\)
\(180\) 742.134 110.500i 0.307308 0.0457564i
\(181\) 1315.45i 0.540200i 0.962832 + 0.270100i \(0.0870568\pi\)
−0.962832 + 0.270100i \(0.912943\pi\)
\(182\) 406.790 1681.89i 0.165677 0.685001i
\(183\) −1988.74 959.921i −0.803343 0.387756i
\(184\) −796.170 + 1379.01i −0.318992 + 0.552510i
\(185\) −309.244 535.627i −0.122898 0.212865i
\(186\) −1976.35 + 146.327i −0.779101 + 0.0576839i
\(187\) 3125.75 + 1804.65i 1.22234 + 0.705718i
\(188\) 3090.87 1.19907
\(189\) 2270.20 1263.91i 0.873717 0.486435i
\(190\) 922.200 0.352123
\(191\) 847.363 + 489.225i 0.321011 + 0.185336i 0.651843 0.758354i \(-0.273996\pi\)
−0.330832 + 0.943690i \(0.607329\pi\)
\(192\) 1045.61 77.4158i 0.393022 0.0290990i
\(193\) −1545.39 2676.70i −0.576373 0.998307i −0.995891 0.0905601i \(-0.971134\pi\)
0.419518 0.907747i \(-0.362199\pi\)
\(194\) −225.480 + 390.543i −0.0834461 + 0.144533i
\(195\) −1398.91 675.221i −0.513732 0.247967i
\(196\) −1695.65 871.196i −0.617947 0.317491i
\(197\) 413.844i 0.149671i 0.997196 + 0.0748355i \(0.0238432\pi\)
−0.997196 + 0.0748355i \(0.976157\pi\)
\(198\) −1259.80 + 187.578i −0.452174 + 0.0673262i
\(199\) −1284.54 + 741.630i −0.457581 + 0.264185i −0.711027 0.703165i \(-0.751769\pi\)
0.253446 + 0.967350i \(0.418436\pi\)
\(200\) 458.717 264.841i 0.162181 0.0936353i
\(201\) −352.366 517.821i −0.123652 0.181713i
\(202\) 1651.09i 0.575100i
\(203\) 990.840 + 3365.87i 0.342578 + 1.16373i
\(204\) −1500.99 + 3109.71i −0.515148 + 1.06727i
\(205\) −861.337 + 1491.88i −0.293455 + 0.508280i
\(206\) 69.1967 + 119.852i 0.0234037 + 0.0405364i
\(207\) 1887.60 + 744.733i 0.633803 + 0.250060i
\(208\) 587.852 + 339.397i 0.195963 + 0.113139i
\(209\) 3562.80 1.17916
\(210\) 476.894 581.361i 0.156709 0.191037i
\(211\) −1673.15 −0.545899 −0.272949 0.962028i \(-0.587999\pi\)
−0.272949 + 0.962028i \(0.587999\pi\)
\(212\) 437.794 + 252.761i 0.141829 + 0.0818852i
\(213\) −85.2344 1151.21i −0.0274186 0.370326i
\(214\) −658.886 1141.22i −0.210470 0.364544i
\(215\) −221.071 + 382.906i −0.0701251 + 0.121460i
\(216\) −653.653 2899.73i −0.205905 0.913433i
\(217\) 3116.85 3273.40i 0.975049 1.02402i
\(218\) 394.412i 0.122536i
\(219\) −4235.93 + 2882.45i −1.30702 + 0.889398i
\(220\) 726.490 419.439i 0.222636 0.128539i
\(221\) 6190.85 3574.29i 1.88435 1.08793i
\(222\) −830.417 + 565.080i −0.251054 + 0.170837i
\(223\) 543.549i 0.163223i −0.996664 0.0816115i \(-0.973993\pi\)
0.996664 0.0816115i \(-0.0260067\pi\)
\(224\) −2391.27 + 2511.37i −0.713275 + 0.749099i
\(225\) −419.910 528.489i −0.124418 0.156589i
\(226\) −289.246 + 500.988i −0.0851343 + 0.147457i
\(227\) 287.724 + 498.352i 0.0841272 + 0.145713i 0.905019 0.425371i \(-0.139856\pi\)
−0.820892 + 0.571084i \(0.806523\pi\)
\(228\) 251.674 + 3399.21i 0.0731033 + 0.987360i
\(229\) 1476.87 + 852.672i 0.426176 + 0.246053i 0.697716 0.716374i \(-0.254200\pi\)
−0.271540 + 0.962427i \(0.587533\pi\)
\(230\) 587.238 0.168353
\(231\) 1842.42 2246.01i 0.524772 0.639726i
\(232\) 4013.94 1.13590
\(233\) 724.681 + 418.395i 0.203757 + 0.117639i 0.598407 0.801192i \(-0.295801\pi\)
−0.394650 + 0.918832i \(0.629134\pi\)
\(234\) −925.839 + 2346.63i −0.258650 + 0.655573i
\(235\) −1390.31 2408.08i −0.385930 0.668451i
\(236\) 759.115 1314.83i 0.209382 0.362661i
\(237\) −1513.85 + 3136.35i −0.414916 + 0.859612i
\(238\) 977.225 + 3319.62i 0.266152 + 0.904113i
\(239\) 5557.24i 1.50405i 0.659135 + 0.752024i \(0.270922\pi\)
−0.659135 + 0.752024i \(0.729078\pi\)
\(240\) 165.943 + 243.863i 0.0446316 + 0.0655887i
\(241\) −4496.86 + 2596.26i −1.20194 + 0.693942i −0.960987 0.276594i \(-0.910794\pi\)
−0.240956 + 0.970536i \(0.577461\pi\)
\(242\) 568.073 327.977i 0.150897 0.0871206i
\(243\) −3532.31 + 1368.11i −0.932500 + 0.361169i
\(244\) 2362.02i 0.619725i
\(245\) 83.9757 + 1712.94i 0.0218980 + 0.446677i
\(246\) 2519.53 + 1216.12i 0.653005 + 0.315191i
\(247\) 3528.23 6111.08i 0.908891 1.57424i
\(248\) −2585.42 4478.07i −0.661992 1.14660i
\(249\) −4035.41 + 298.778i −1.02704 + 0.0760413i
\(250\) −169.170 97.6703i −0.0427970 0.0247088i
\(251\) −1150.64 −0.289354 −0.144677 0.989479i \(-0.546214\pi\)
−0.144677 + 0.989479i \(0.546214\pi\)
\(252\) 2273.03 + 1599.17i 0.568204 + 0.399754i
\(253\) 2268.72 0.563767
\(254\) 2144.79 + 1238.29i 0.529826 + 0.305895i
\(255\) 3097.92 229.367i 0.760781 0.0563276i
\(256\) 1731.15 + 2998.44i 0.422644 + 0.732040i
\(257\) 2826.64 4895.89i 0.686074 1.18832i −0.287024 0.957923i \(-0.592666\pi\)
0.973098 0.230392i \(-0.0740008\pi\)
\(258\) 646.662 + 312.130i 0.156044 + 0.0753192i
\(259\) 538.562 2226.71i 0.129207 0.534213i
\(260\) 1661.48i 0.396309i
\(261\) −753.316 5059.40i −0.178655 1.19988i
\(262\) 767.331 443.019i 0.180938 0.104465i
\(263\) 5329.11 3076.77i 1.24946 0.721374i 0.278456 0.960449i \(-0.410177\pi\)
0.971001 + 0.239075i \(0.0768441\pi\)
\(264\) −1869.65 2747.55i −0.435866 0.640530i
\(265\) 454.778i 0.105422i
\(266\) 2473.82 + 2355.51i 0.570224 + 0.542954i
\(267\) 1837.27 3806.40i 0.421119 0.872463i
\(268\) 334.971 580.187i 0.0763494 0.132241i
\(269\) 2602.37 + 4507.43i 0.589848 + 1.02165i 0.994252 + 0.107066i \(0.0341457\pi\)
−0.404404 + 0.914581i \(0.632521\pi\)
\(270\) −805.587 + 743.458i −0.181579 + 0.167576i
\(271\) 2343.41 + 1352.97i 0.525283 + 0.303272i 0.739094 0.673603i \(-0.235254\pi\)
−0.213810 + 0.976875i \(0.568587\pi\)
\(272\) −1357.46 −0.302604
\(273\) −2027.92 5384.42i −0.449579 1.19370i
\(274\) −2448.08 −0.539758
\(275\) −653.566 377.336i −0.143315 0.0827427i
\(276\) 160.261 + 2164.54i 0.0349514 + 0.472066i
\(277\) 919.668 + 1592.91i 0.199486 + 0.345519i 0.948362 0.317191i \(-0.102740\pi\)
−0.748876 + 0.662710i \(0.769406\pi\)
\(278\) 111.760 193.573i 0.0241111 0.0417617i
\(279\) −5159.20 + 4099.23i −1.10707 + 0.879621i
\(280\) 1906.98 + 461.231i 0.407014 + 0.0984421i
\(281\) 2505.86i 0.531983i 0.963975 + 0.265992i \(0.0856993\pi\)
−0.963975 + 0.265992i \(0.914301\pi\)
\(282\) −3733.41 + 2540.50i −0.788373 + 0.536470i
\(283\) 18.8941 10.9085i 0.00396868 0.00229132i −0.498014 0.867169i \(-0.665937\pi\)
0.501983 + 0.864877i \(0.332604\pi\)
\(284\) 1069.30 617.361i 0.223420 0.128992i
\(285\) 2535.10 1725.08i 0.526900 0.358543i
\(286\) 2820.43i 0.583131i
\(287\) −6121.15 + 1801.94i −1.25896 + 0.370610i
\(288\) 3958.17 3144.96i 0.809853 0.643467i
\(289\) −4691.43 + 8125.80i −0.954902 + 1.65394i
\(290\) −740.148 1281.97i −0.149872 0.259587i
\(291\) 110.716 + 1495.38i 0.0223035 + 0.301239i
\(292\) −4746.10 2740.16i −0.951180 0.549164i
\(293\) −6459.08 −1.28786 −0.643931 0.765084i \(-0.722698\pi\)
−0.643931 + 0.765084i \(0.722698\pi\)
\(294\) 2764.21 341.412i 0.548340 0.0677263i
\(295\) −1365.83 −0.269566
\(296\) −2269.69 1310.41i −0.445686 0.257317i
\(297\) −3112.28 + 2872.25i −0.608057 + 0.561161i
\(298\) 49.7322 + 86.1387i 0.00966748 + 0.0167446i
\(299\) 2246.70 3891.40i 0.434549 0.752661i
\(300\) 313.843 650.211i 0.0603991 0.125133i
\(301\) −1571.06 + 462.486i −0.300844 + 0.0885622i
\(302\) 1289.41i 0.245686i
\(303\) −3088.55 4538.80i −0.585586 0.860552i
\(304\) −1160.45 + 669.987i −0.218936 + 0.126403i
\(305\) −1840.24 + 1062.46i −0.345481 + 0.199464i
\(306\) −742.965 4989.88i −0.138799 0.932197i
\(307\) 3494.94i 0.649728i 0.945761 + 0.324864i \(0.105319\pi\)
−0.945761 + 0.324864i \(0.894681\pi\)
\(308\) 3020.17 + 730.470i 0.558734 + 0.135138i
\(309\) 414.417 + 200.030i 0.0762957 + 0.0368263i
\(310\) −953.473 + 1651.46i −0.174689 + 0.302570i
\(311\) −3709.12 6424.38i −0.676285 1.17136i −0.976091 0.217360i \(-0.930255\pi\)
0.299806 0.954000i \(-0.403078\pi\)
\(312\) −6564.23 + 486.009i −1.19111 + 0.0881887i
\(313\) −8718.77 5033.79i −1.57449 0.909030i −0.995608 0.0936158i \(-0.970157\pi\)
−0.578878 0.815414i \(-0.696509\pi\)
\(314\) −4687.50 −0.842455
\(315\) 223.468 2490.23i 0.0399715 0.445424i
\(316\) −3725.04 −0.663133
\(317\) 4573.02 + 2640.23i 0.810241 + 0.467793i 0.847040 0.531530i \(-0.178383\pi\)
−0.0367987 + 0.999323i \(0.511716\pi\)
\(318\) −736.557 + 54.5340i −0.129887 + 0.00961671i
\(319\) −2859.47 4952.74i −0.501879 0.869280i
\(320\) 504.445 873.724i 0.0881229 0.152633i
\(321\) −3946.05 1904.67i −0.686127 0.331179i
\(322\) 1575.28 + 1499.94i 0.272629 + 0.259591i
\(323\) 14111.7i 2.43094i
\(324\) −2960.22 2766.48i −0.507582 0.474362i
\(325\) −1294.45 + 747.350i −0.220933 + 0.127555i
\(326\) 1226.43 708.078i 0.208361 0.120297i
\(327\) 737.792 + 1084.23i 0.124771 + 0.183357i
\(328\) 7299.74i 1.22884i
\(329\) 2421.27 10010.9i 0.405742 1.67756i
\(330\) −532.762 + 1103.76i −0.0888714 + 0.184121i
\(331\) 1454.72 2519.64i 0.241566 0.418405i −0.719594 0.694395i \(-0.755672\pi\)
0.961161 + 0.275990i \(0.0890055\pi\)
\(332\) −2164.08 3748.29i −0.357738 0.619621i
\(333\) −1225.75 + 3106.78i −0.201713 + 0.511262i
\(334\) 3577.86 + 2065.68i 0.586142 + 0.338410i
\(335\) −602.695 −0.0982947
\(336\) −177.737 + 1078.02i −0.0288581 + 0.175033i
\(337\) 5655.37 0.914147 0.457073 0.889429i \(-0.348898\pi\)
0.457073 + 0.889429i \(0.348898\pi\)
\(338\) 1864.40 + 1076.41i 0.300029 + 0.173222i
\(339\) 142.027 + 1918.27i 0.0227547 + 0.307334i
\(340\) 1661.33 + 2877.51i 0.264995 + 0.458984i
\(341\) −3683.62 + 6380.21i −0.584983 + 1.01322i
\(342\) −3097.93 3898.98i −0.489815 0.616470i
\(343\) −4149.99 + 4809.49i −0.653289 + 0.757109i
\(344\) 1873.55i 0.293649i
\(345\) 1614.30 1098.49i 0.251916 0.171423i
\(346\) 1779.23 1027.24i 0.276451 0.159609i
\(347\) 10001.4 5774.32i 1.54727 0.893320i 0.548926 0.835871i \(-0.315037\pi\)
0.998348 0.0574490i \(-0.0182966\pi\)
\(348\) 4523.34 3078.03i 0.696771 0.474137i
\(349\) 10206.0i 1.56538i −0.622413 0.782689i \(-0.713847\pi\)
0.622413 0.782689i \(-0.286153\pi\)
\(350\) −204.329 694.101i −0.0312052 0.106004i
\(351\) 1844.53 + 8182.71i 0.280496 + 1.24433i
\(352\) 2826.10 4894.95i 0.427931 0.741198i
\(353\) 579.996 + 1004.58i 0.0874506 + 0.151469i 0.906433 0.422350i \(-0.138795\pi\)
−0.818982 + 0.573819i \(0.805461\pi\)
\(354\) 163.782 + 2212.10i 0.0245901 + 0.332124i
\(355\) −961.965 555.391i −0.143819 0.0830341i
\(356\) 4520.85 0.673047
\(357\) 8896.08 + 7297.52i 1.31885 + 1.08186i
\(358\) 1248.49 0.184315
\(359\) 1136.44 + 656.126i 0.167073 + 0.0964596i 0.581205 0.813757i \(-0.302581\pi\)
−0.414132 + 0.910217i \(0.635915\pi\)
\(360\) −2660.68 1049.74i −0.389528 0.153684i
\(361\) 3535.41 + 6123.51i 0.515441 + 0.892770i
\(362\) 1027.84 1780.27i 0.149232 0.258478i
\(363\) 948.099 1964.25i 0.137086 0.284011i
\(364\) 4243.80 4456.94i 0.611086 0.641778i
\(365\) 4930.22i 0.707012i
\(366\) 1941.43 + 2853.04i 0.277268 + 0.407461i
\(367\) −3449.12 + 1991.35i −0.490579 + 0.283236i −0.724815 0.688944i \(-0.758075\pi\)
0.234235 + 0.972180i \(0.424741\pi\)
\(368\) −738.951 + 426.633i −0.104675 + 0.0604343i
\(369\) 9201.00 1369.98i 1.29806 0.193274i
\(370\) 966.527i 0.135804i
\(371\) 1161.61 1219.95i 0.162554 0.170719i
\(372\) −6347.47 3063.78i −0.884679 0.427016i
\(373\) 4645.84 8046.84i 0.644913 1.11702i −0.339408 0.940639i \(-0.610227\pi\)
0.984322 0.176384i \(-0.0564399\pi\)
\(374\) −2820.18 4884.69i −0.389914 0.675351i
\(375\) −647.746 + 47.9585i −0.0891986 + 0.00660418i
\(376\) −10204.1 5891.35i −1.39957 0.808041i
\(377\) −11326.9 −1.54739
\(378\) −4059.96 63.3166i −0.552439 0.00861548i
\(379\) 7489.57 1.01507 0.507537 0.861630i \(-0.330556\pi\)
0.507537 + 0.861630i \(0.330556\pi\)
\(380\) 2840.43 + 1639.92i 0.383450 + 0.221385i
\(381\) 8212.32 608.033i 1.10428 0.0817598i
\(382\) −764.524 1324.20i −0.102399 0.177361i
\(383\) −653.621 + 1132.11i −0.0872023 + 0.151039i −0.906328 0.422576i \(-0.861126\pi\)
0.819125 + 0.573615i \(0.194459\pi\)
\(384\) 5534.02 + 2671.15i 0.735435 + 0.354979i
\(385\) −789.397 2681.57i −0.104497 0.354975i
\(386\) 4830.05i 0.636899i
\(387\) 2361.53 351.619i 0.310189 0.0461855i
\(388\) −1388.98 + 801.930i −0.181740 + 0.104927i
\(389\) 545.637 315.024i 0.0711179 0.0410600i −0.464019 0.885825i \(-0.653593\pi\)
0.535137 + 0.844765i \(0.320260\pi\)
\(390\) 1365.63 + 2006.87i 0.177311 + 0.260569i
\(391\) 8986.01i 1.16226i
\(392\) 3937.42 + 6108.13i 0.507321 + 0.787008i
\(393\) 1280.65 2653.22i 0.164378 0.340553i
\(394\) 323.362 560.079i 0.0413471 0.0716152i
\(395\) 1675.56 + 2902.16i 0.213435 + 0.369680i
\(396\) −4213.83 1662.52i −0.534730 0.210972i
\(397\) −3083.29 1780.14i −0.389788 0.225044i 0.292280 0.956333i \(-0.405586\pi\)
−0.682068 + 0.731288i \(0.738919\pi\)
\(398\) 2317.92 0.291927
\(399\) 11206.7 + 1847.68i 1.40611 + 0.231829i
\(400\) 283.833 0.0354792
\(401\) −2343.23 1352.86i −0.291808 0.168476i 0.346949 0.937884i \(-0.387218\pi\)
−0.638757 + 0.769408i \(0.720551\pi\)
\(402\) 72.2713 + 976.123i 0.00896658 + 0.121106i
\(403\) 7295.75 + 12636.6i 0.901805 + 1.56197i
\(404\) 2936.09 5085.45i 0.361574 0.626264i
\(405\) −823.813 + 3550.68i −0.101076 + 0.435642i
\(406\) 1289.00 5329.43i 0.157566 0.651466i
\(407\) 3734.05i 0.454767i
\(408\) 10882.6 7405.35i 1.32051 0.898578i
\(409\) 3450.96 1992.41i 0.417210 0.240876i −0.276673 0.960964i \(-0.589232\pi\)
0.693883 + 0.720088i \(0.255899\pi\)
\(410\) 2331.39 1346.03i 0.280828 0.162136i
\(411\) −6729.69 + 4579.40i −0.807667 + 0.549599i
\(412\) 492.202i 0.0588570i
\(413\) −3663.87 3488.65i −0.436531 0.415655i
\(414\) −1972.69 2482.79i −0.234185 0.294740i
\(415\) −1946.85 + 3372.04i −0.230282 + 0.398861i
\(416\) −5597.36 9694.91i −0.659695 1.14262i
\(417\) −54.8768 741.186i −0.00644443 0.0870409i
\(418\) −4821.75 2783.84i −0.564209 0.325746i
\(419\) −3157.38 −0.368134 −0.184067 0.982914i \(-0.558926\pi\)
−0.184067 + 0.982914i \(0.558926\pi\)
\(420\) 2502.68 942.576i 0.290758 0.109507i
\(421\) 4973.53 0.575760 0.287880 0.957667i \(-0.407050\pi\)
0.287880 + 0.957667i \(0.407050\pi\)
\(422\) 2264.38 + 1307.34i 0.261204 + 0.150806i
\(423\) −5510.73 + 13967.5i −0.633430 + 1.60549i
\(424\) −963.548 1668.91i −0.110363 0.191155i
\(425\) 1494.57 2588.67i 0.170581 0.295456i
\(426\) −784.157 + 1624.60i −0.0891843 + 0.184770i
\(427\) −7650.25 1850.32i −0.867029 0.209703i
\(428\) 4686.71i 0.529301i
\(429\) 5275.93 + 7753.27i 0.593763 + 0.872568i
\(430\) 598.376 345.473i 0.0671076 0.0387446i
\(431\) −2720.15 + 1570.48i −0.304002 + 0.175516i −0.644240 0.764824i \(-0.722826\pi\)
0.340237 + 0.940340i \(0.389493\pi\)
\(432\) 473.582 1520.80i 0.0527436 0.169374i
\(433\) 4935.94i 0.547820i −0.961755 0.273910i \(-0.911683\pi\)
0.961755 0.273910i \(-0.0883170\pi\)
\(434\) −6775.93 + 1994.69i −0.749435 + 0.220618i
\(435\) −4432.72 2139.58i −0.488581 0.235827i
\(436\) −701.371 + 1214.81i −0.0770403 + 0.133438i
\(437\) 4435.11 + 7681.84i 0.485492 + 0.840897i
\(438\) 7984.97 591.200i 0.871088 0.0644946i
\(439\) 10952.1 + 6323.17i 1.19069 + 0.687445i 0.958463 0.285216i \(-0.0920654\pi\)
0.232227 + 0.972662i \(0.425399\pi\)
\(440\) −3197.89 −0.346485
\(441\) 6960.08 6109.29i 0.751547 0.659680i
\(442\) −11171.2 −1.20218
\(443\) −8249.80 4763.02i −0.884785 0.510831i −0.0125519 0.999921i \(-0.503996\pi\)
−0.872233 + 0.489090i \(0.837329\pi\)
\(444\) −3562.60 + 263.772i −0.380796 + 0.0281938i
\(445\) −2033.53 3522.17i −0.216626 0.375207i
\(446\) −424.708 + 735.616i −0.0450909 + 0.0780997i
\(447\) 297.844 + 143.763i 0.0315158 + 0.0152120i
\(448\) 3584.88 1055.31i 0.378057 0.111292i
\(449\) 6905.07i 0.725769i 0.931834 + 0.362884i \(0.118208\pi\)
−0.931834 + 0.362884i \(0.881792\pi\)
\(450\) 155.347 + 1043.34i 0.0162736 + 0.109296i
\(451\) 9007.04 5200.22i 0.940410 0.542946i
\(452\) −1781.79 + 1028.71i −0.185416 + 0.107050i
\(453\) −2411.98 3544.54i −0.250165 0.367632i
\(454\) 899.265i 0.0929617i
\(455\) −5381.29 1301.54i −0.554459 0.134104i
\(456\) 5648.19 11701.8i 0.580045 1.20172i
\(457\) −7884.86 + 13657.0i −0.807085 + 1.39791i 0.107789 + 0.994174i \(0.465623\pi\)
−0.914874 + 0.403739i \(0.867710\pi\)
\(458\) −1332.49 2307.94i −0.135946 0.235465i
\(459\) −11376.5 12327.2i −1.15688 1.25356i
\(460\) 1808.72 + 1044.27i 0.183331 + 0.105846i
\(461\) 10091.7 1.01956 0.509782 0.860304i \(-0.329726\pi\)
0.509782 + 0.860304i \(0.329726\pi\)
\(462\) −4248.40 + 1600.06i −0.427822 + 0.161129i
\(463\) 7425.01 0.745290 0.372645 0.927974i \(-0.378451\pi\)
0.372645 + 0.927974i \(0.378451\pi\)
\(464\) 1862.73 + 1075.45i 0.186369 + 0.107600i
\(465\) 468.179 + 6323.40i 0.0466909 + 0.630625i
\(466\) −653.835 1132.48i −0.0649964 0.112577i
\(467\) −3110.28 + 5387.17i −0.308194 + 0.533808i −0.977967 0.208758i \(-0.933058\pi\)
0.669773 + 0.742566i \(0.266391\pi\)
\(468\) −7024.58 + 5581.36i −0.693828 + 0.551279i
\(469\) −1616.74 1539.42i −0.159177 0.151565i
\(470\) 4345.33i 0.426458i
\(471\) −12885.8 + 8768.49i −1.26061 + 0.857814i
\(472\) −5012.25 + 2893.82i −0.488787 + 0.282201i
\(473\) 2311.75 1334.69i 0.224724 0.129744i
\(474\) 4499.41 3061.75i 0.436001 0.296689i
\(475\) 2950.62i 0.285018i
\(476\) −2893.27 + 11962.4i −0.278598 + 1.15188i
\(477\) −1922.76 + 1527.72i −0.184564 + 0.146645i
\(478\) 4342.21 7520.93i 0.415498 0.719664i
\(479\) −9650.00 16714.3i −0.920500 1.59435i −0.798643 0.601806i \(-0.794448\pi\)
−0.121858 0.992548i \(-0.538885\pi\)
\(480\) −359.190 4851.36i −0.0341557 0.461319i
\(481\) 6404.82 + 3697.82i 0.607140 + 0.350533i
\(482\) 8114.48 0.766814
\(483\) 7136.19 + 1176.56i 0.672273 + 0.110839i
\(484\) 2332.93 0.219096
\(485\) 1249.56 + 721.434i 0.116989 + 0.0675435i
\(486\) 5849.46 + 908.471i 0.545961 + 0.0847923i
\(487\) −7385.00 12791.2i −0.687159 1.19019i −0.972753 0.231843i \(-0.925524\pi\)
0.285594 0.958351i \(-0.407809\pi\)
\(488\) −4502.13 + 7797.92i −0.417627 + 0.723351i
\(489\) 2046.87 4240.66i 0.189290 0.392166i
\(490\) 1224.78 2383.84i 0.112918 0.219778i
\(491\) 7298.56i 0.670834i −0.942070 0.335417i \(-0.891123\pi\)
0.942070 0.335417i \(-0.108877\pi\)
\(492\) 5597.69 + 8226.13i 0.512934 + 0.753786i
\(493\) 19617.0 11325.9i 1.79210 1.03467i
\(494\) −9549.92 + 5513.65i −0.869780 + 0.502168i
\(495\) 600.163 + 4030.80i 0.0544956 + 0.366002i
\(496\) 2770.83i 0.250834i
\(497\) −1161.89 3946.93i −0.104865 0.356225i
\(498\) 5694.81 + 2748.76i 0.512430 + 0.247339i
\(499\) −4795.00 + 8305.19i −0.430168 + 0.745073i −0.996887 0.0788381i \(-0.974879\pi\)
0.566720 + 0.823911i \(0.308212\pi\)
\(500\) −347.368 601.660i −0.0310696 0.0538141i
\(501\) 13699.5 1014.30i 1.22165 0.0904502i
\(502\) 1557.23 + 899.067i 0.138451 + 0.0799349i
\(503\) −1098.43 −0.0973687 −0.0486843 0.998814i \(-0.515503\pi\)
−0.0486843 + 0.998814i \(0.515503\pi\)
\(504\) −4456.04 9611.95i −0.393825 0.849505i
\(505\) −5282.73 −0.465502
\(506\) −3070.39 1772.69i −0.269754 0.155742i
\(507\) 7138.72 528.545i 0.625329 0.0462988i
\(508\) 4404.04 + 7628.03i 0.384641 + 0.666218i
\(509\) −5648.10 + 9782.80i −0.491842 + 0.851896i −0.999956 0.00939431i \(-0.997010\pi\)
0.508114 + 0.861290i \(0.330343\pi\)
\(510\) −4371.81 2110.18i −0.379583 0.183216i
\(511\) −12592.9 + 13225.4i −1.09017 + 1.14493i
\(512\) 4050.17i 0.349597i
\(513\) −15809.6 4923.17i −1.36064 0.423710i
\(514\) −7650.92 + 4417.26i −0.656552 + 0.379060i
\(515\) 383.472 221.398i 0.0328113 0.0189436i
\(516\) 1436.70 + 2111.32i 0.122572 + 0.180127i
\(517\) 16787.6i 1.42808i
\(518\) −2468.73 + 2592.73i −0.209401 + 0.219919i
\(519\) 2969.48 6152.09i 0.251148 0.520322i
\(520\) −3166.86 + 5485.16i −0.267069 + 0.462577i
\(521\) −5844.10 10122.3i −0.491430 0.851181i 0.508522 0.861049i \(-0.330192\pi\)
−0.999951 + 0.00986815i \(0.996859\pi\)
\(522\) −2933.71 + 7435.79i −0.245987 + 0.623478i
\(523\) −17162.9 9909.03i −1.43496 0.828474i −0.437465 0.899235i \(-0.644124\pi\)
−0.997493 + 0.0707615i \(0.977457\pi\)
\(524\) 3151.23 0.262714
\(525\) −1860.09 1525.84i −0.154630 0.126844i
\(526\) −9616.27 −0.797128
\(527\) −25271.0 14590.2i −2.08884 1.20599i
\(528\) −131.492 1775.97i −0.0108379 0.146381i
\(529\) −3259.32 5645.30i −0.267882 0.463985i
\(530\) −355.346 + 615.477i −0.0291231 + 0.0504427i
\(531\) 4588.21 + 5774.62i 0.374974 + 0.471935i
\(532\) 3430.76 + 11654.2i 0.279591 + 0.949765i
\(533\) 20599.0i 1.67400i
\(534\) −5460.65 + 3715.85i −0.442520 + 0.301125i
\(535\) −3651.39 + 2108.13i −0.295072 + 0.170360i
\(536\) −2211.73 + 1276.94i −0.178232 + 0.102902i
\(537\) 3432.07 2335.45i 0.275800 0.187676i
\(538\) 8133.56i 0.651790i
\(539\) 4731.78 9209.66i 0.378130 0.735971i
\(540\) −3803.32 + 857.339i −0.303091 + 0.0683222i
\(541\) 10280.8 17806.8i 0.817014 1.41511i −0.0908589 0.995864i \(-0.528961\pi\)
0.907873 0.419246i \(-0.137705\pi\)
\(542\) −2114.31 3662.10i −0.167560 0.290222i
\(543\) −504.695 6816.60i −0.0398868 0.538726i
\(544\) 19388.1 + 11193.7i 1.52805 + 0.882218i
\(545\) 1261.94 0.0991843
\(546\) −1462.68 + 8871.59i −0.114647 + 0.695365i
\(547\) 12770.7 0.998235 0.499117 0.866534i \(-0.333658\pi\)
0.499117 + 0.866534i \(0.333658\pi\)
\(548\) −7540.22 4353.35i −0.587778 0.339354i
\(549\) 10673.9 + 4211.26i 0.829781 + 0.327381i
\(550\) 589.673 + 1021.34i 0.0457159 + 0.0791822i
\(551\) 11179.9 19364.2i 0.864394 1.49717i
\(552\) 3596.65 7451.44i 0.277325 0.574555i
\(553\) −2918.06 + 12064.9i −0.224392 + 0.927759i
\(554\) 2874.38i 0.220434i
\(555\) 1808.00 + 2656.95i 0.138280 + 0.203210i
\(556\) 688.452 397.478i 0.0525123 0.0303180i
\(557\) −4529.84 + 2615.31i −0.344588 + 0.198948i −0.662299 0.749240i \(-0.730419\pi\)
0.317711 + 0.948188i \(0.397086\pi\)
\(558\) 10185.2 1516.52i 0.772715 0.115053i
\(559\) 5286.95i 0.400026i
\(560\) 761.388 + 724.976i 0.0574545 + 0.0547068i
\(561\) −16889.9 8152.41i −1.27111 0.613538i
\(562\) 1957.99 3391.33i 0.146962 0.254546i
\(563\) 5287.56 + 9158.33i 0.395816 + 0.685573i 0.993205 0.116379i \(-0.0371286\pi\)
−0.597389 + 0.801951i \(0.703795\pi\)
\(564\) −16016.8 + 1185.87i −1.19580 + 0.0885356i
\(565\) 1602.93 + 925.454i 0.119356 + 0.0689100i
\(566\) −34.0939 −0.00253193
\(567\) −11279.2 + 7420.56i −0.835415 + 0.549620i
\(568\) −4706.88 −0.347705
\(569\) 12299.3 + 7101.00i 0.906174 + 0.523180i 0.879198 0.476456i \(-0.158079\pi\)
0.0269761 + 0.999636i \(0.491412\pi\)
\(570\) −4778.81 + 353.819i −0.351162 + 0.0259997i
\(571\) −6745.01 11682.7i −0.494343 0.856227i 0.505636 0.862747i \(-0.331258\pi\)
−0.999979 + 0.00652001i \(0.997925\pi\)
\(572\) −5015.49 + 8687.08i −0.366622 + 0.635009i
\(573\) −4578.71 2210.04i −0.333819 0.161127i
\(574\) 9692.08 + 2344.17i 0.704773 + 0.170459i
\(575\) 1878.89i 0.136270i
\(576\) −5388.60 + 802.333i −0.389800 + 0.0580391i
\(577\) −13221.2 + 7633.28i −0.953912 + 0.550741i −0.894294 0.447480i \(-0.852322\pi\)
−0.0596179 + 0.998221i \(0.518988\pi\)
\(578\) 12698.4 7331.42i 0.913812 0.527589i
\(579\) 9035.15 + 13277.7i 0.648512 + 0.953024i
\(580\) 5264.74i 0.376907i
\(581\) −13835.4 + 4072.86i −0.987936 + 0.290828i
\(582\) 1018.59 2110.29i 0.0725464 0.150300i
\(583\) −1372.83 + 2377.82i −0.0975247 + 0.168918i
\(584\) 10445.8 + 18092.6i 0.740153 + 1.28198i
\(585\) 7508.15 + 2962.26i 0.530639 + 0.209358i
\(586\) 8741.45 + 5046.88i 0.616222 + 0.355776i
\(587\) 23928.9 1.68254 0.841270 0.540615i \(-0.181809\pi\)
0.841270 + 0.540615i \(0.181809\pi\)
\(588\) 9121.04 + 3863.94i 0.639703 + 0.270997i
\(589\) −28804.4 −2.01505
\(590\) 1848.46 + 1067.21i 0.128983 + 0.0744684i
\(591\) −158.779 2144.53i −0.0110513 0.149262i
\(592\) −702.191 1216.23i −0.0487498 0.0844371i
\(593\) −10698.3 + 18530.0i −0.740853 + 1.28319i 0.211254 + 0.977431i \(0.432245\pi\)
−0.952107 + 0.305764i \(0.901088\pi\)
\(594\) 6456.30 1455.37i 0.445968 0.100530i
\(595\) 10621.3 3126.67i 0.731813 0.215430i
\(596\) 353.749i 0.0243123i
\(597\) 6371.91 4335.94i 0.436825 0.297250i
\(598\) −6081.19 + 3510.98i −0.415850 + 0.240091i
\(599\) 14601.1 8429.96i 0.995969 0.575023i 0.0889158 0.996039i \(-0.471660\pi\)
0.907053 + 0.421016i \(0.138326\pi\)
\(600\) −2275.45 + 1548.39i −0.154825 + 0.105355i
\(601\) 8040.78i 0.545741i −0.962051 0.272870i \(-0.912027\pi\)
0.962051 0.272870i \(-0.0879730\pi\)
\(602\) 2487.57 + 601.654i 0.168415 + 0.0407336i
\(603\) 2024.62 + 2548.14i 0.136731 + 0.172087i
\(604\) 2292.92 3971.45i 0.154466 0.267543i
\(605\) −1049.38 1817.57i −0.0705178 0.122140i
\(606\) 633.471 + 8555.90i 0.0424637 + 0.573531i
\(607\) −1911.63 1103.68i −0.127827 0.0738007i 0.434723 0.900564i \(-0.356846\pi\)
−0.562550 + 0.826763i \(0.690180\pi\)
\(608\) 22099.0 1.47406
\(609\) −6425.88 17061.7i −0.427569 1.13526i
\(610\) 3320.67 0.220410
\(611\) 28794.9 + 16624.7i 1.90657 + 1.10076i
\(612\) 6584.98 16690.3i 0.434938 1.10239i
\(613\) 6395.15 + 11076.7i 0.421366 + 0.729828i 0.996073 0.0885314i \(-0.0282174\pi\)
−0.574707 + 0.818359i \(0.694884\pi\)
\(614\) 2730.81 4729.90i 0.179490 0.310885i
\(615\) 3891.03 8061.34i 0.255125 0.528560i
\(616\) −8578.39 8168.14i −0.561093 0.534259i
\(617\) 2961.53i 0.193236i −0.995322 0.0966180i \(-0.969197\pi\)
0.995322 0.0966180i \(-0.0308025\pi\)
\(618\) −404.559 594.522i −0.0263329 0.0386977i
\(619\) −110.296 + 63.6792i −0.00716181 + 0.00413487i −0.503577 0.863951i \(-0.667983\pi\)
0.496415 + 0.868085i \(0.334650\pi\)
\(620\) −5873.50 + 3391.07i −0.380460 + 0.219659i
\(621\) −10067.2 3134.97i −0.650537 0.202580i
\(622\) 11592.6i 0.747304i
\(623\) 3541.47 14642.4i 0.227746 0.941629i
\(624\) −3176.45 1533.20i −0.203782 0.0983609i
\(625\) −312.500 + 541.266i −0.0200000 + 0.0346410i
\(626\) 7866.42 + 13625.0i 0.502245 + 0.869914i
\(627\) −18462.3 + 1366.93i −1.17594 + 0.0870655i
\(628\) −14437.7 8335.64i −0.917403 0.529663i
\(629\) −14790.0 −0.937543
\(630\) −2248.20 + 3195.56i −0.142175 + 0.202086i
\(631\) 25577.1 1.61364 0.806820 0.590797i \(-0.201187\pi\)
0.806820 + 0.590797i \(0.201187\pi\)
\(632\) 12297.8 + 7100.11i 0.774017 + 0.446879i
\(633\) 8670.23 641.936i 0.544408 0.0403075i
\(634\) −4125.96 7146.37i −0.258458 0.447663i
\(635\) 3961.97 6862.34i 0.247600 0.428856i
\(636\) −2365.61 1141.83i −0.147488 0.0711894i
\(637\) −11111.0 17236.5i −0.691103 1.07211i
\(638\) 8937.11i 0.554583i
\(639\) 883.364 + 5932.82i 0.0546875 + 0.367291i
\(640\) 5120.80 2956.49i 0.316277 0.182603i
\(641\) −21519.0 + 12424.0i −1.32598 + 0.765553i −0.984675 0.174401i \(-0.944201\pi\)
−0.341302 + 0.939954i \(0.610868\pi\)
\(642\) 3852.18 + 5660.99i 0.236812 + 0.348009i
\(643\) 1572.93i 0.0964701i 0.998836 + 0.0482350i \(0.0153597\pi\)
−0.998836 + 0.0482350i \(0.984640\pi\)
\(644\) 2184.64 + 7421.17i 0.133675 + 0.454092i
\(645\) 998.673 2069.02i 0.0609654 0.126307i
\(646\) 11026.3 19098.1i 0.671555 1.16317i
\(647\) 3345.51 + 5794.60i 0.203285 + 0.352101i 0.949585 0.313509i \(-0.101505\pi\)
−0.746300 + 0.665610i \(0.768171\pi\)
\(648\) 4499.74 + 14775.5i 0.272788 + 0.895736i
\(649\) 7141.29 + 4123.03i 0.431926 + 0.249373i
\(650\) 2335.80 0.140950
\(651\) −14895.5 + 18158.5i −0.896777 + 1.09322i
\(652\) 5036.62 0.302530
\(653\) 5469.11 + 3157.59i 0.327753 + 0.189229i 0.654843 0.755765i \(-0.272735\pi\)
−0.327090 + 0.944993i \(0.606068\pi\)
\(654\) −151.323 2043.83i −0.00904772 0.122202i
\(655\) −1417.46 2455.11i −0.0845567 0.146456i
\(656\) −1955.81 + 3387.56i −0.116405 + 0.201619i
\(657\) 20844.5 16562.0i 1.23778 0.983476i
\(658\) −11099.0 + 11656.4i −0.657573 + 0.690600i
\(659\) 4774.62i 0.282235i 0.989993 + 0.141117i \(0.0450695\pi\)
−0.989993 + 0.141117i \(0.954931\pi\)
\(660\) −3603.72 + 2452.25i −0.212537 + 0.144627i
\(661\) 7845.26 4529.46i 0.461642 0.266529i −0.251093 0.967963i \(-0.580790\pi\)
0.712734 + 0.701434i \(0.247457\pi\)
\(662\) −3937.51 + 2273.32i −0.231172 + 0.133467i
\(663\) −30709.4 + 20897.1i −1.79888 + 1.22410i
\(664\) 16499.4i 0.964306i
\(665\) 7536.56 7915.08i 0.439481 0.461554i
\(666\) 4086.39 3246.83i 0.237755 0.188907i
\(667\) 7119.15 12330.7i 0.413275 0.715813i
\(668\) 7346.66 + 12724.8i 0.425525 + 0.737032i
\(669\) 208.542 + 2816.65i 0.0120519 + 0.162777i
\(670\) 815.662 + 470.923i 0.0470325 + 0.0271542i
\(671\) 12829.0 0.738088
\(672\) 11428.0 13931.3i 0.656017 0.799721i
\(673\) −10257.3 −0.587503 −0.293752 0.955882i \(-0.594904\pi\)
−0.293752 + 0.955882i \(0.594904\pi\)
\(674\) −7653.74 4418.89i −0.437405 0.252536i
\(675\) 2378.72 + 2577.51i 0.135640 + 0.146975i
\(676\) 3828.30 + 6630.81i 0.217814 + 0.377265i
\(677\) −3829.20 + 6632.36i −0.217383 + 0.376518i −0.954007 0.299784i \(-0.903085\pi\)
0.736624 + 0.676302i \(0.236419\pi\)
\(678\) 1306.65 2707.08i 0.0740141 0.153340i
\(679\) 1509.26 + 5126.92i 0.0853019 + 0.289769i
\(680\) 12666.3i 0.714309i
\(681\) −1682.18 2472.05i −0.0946566 0.139103i
\(682\) 9970.51 5756.48i 0.559810 0.323207i
\(683\) 22173.4 12801.8i 1.24223 0.717201i 0.272681 0.962105i \(-0.412090\pi\)
0.969547 + 0.244904i \(0.0787564\pi\)
\(684\) −2608.34 17518.0i −0.145807 0.979267i
\(685\) 7832.73i 0.436895i
\(686\) 9374.37 3266.33i 0.521742 0.181792i
\(687\) −7980.24 3851.89i −0.443181 0.213914i
\(688\) −501.978 + 869.451i −0.0278165 + 0.0481795i
\(689\) 2719.03 + 4709.49i 0.150343 + 0.260402i
\(690\) −3043.05 + 225.304i −0.167894 + 0.0124307i
\(691\) −15375.4 8876.97i −0.846463 0.488706i 0.0129927 0.999916i \(-0.495864\pi\)
−0.859456 + 0.511210i \(0.829198\pi\)
\(692\) 7306.83 0.401393
\(693\) −8685.64 + 12345.6i −0.476104 + 0.676727i
\(694\) −18047.3 −0.987130
\(695\) −619.346 357.579i −0.0338031 0.0195162i
\(696\) −20800.1 + 1540.02i −1.13280 + 0.0838712i
\(697\) 20597.2 + 35675.4i 1.11933 + 1.93874i
\(698\) −7974.62 + 13812.4i −0.432441 + 0.749010i
\(699\) −3915.80 1890.07i −0.211887 0.102273i
\(700\) 604.956 2501.22i 0.0326646 0.135053i
\(701\) 14270.4i 0.768883i −0.923149 0.384441i \(-0.874394\pi\)
0.923149 0.384441i \(-0.125606\pi\)
\(702\) 3897.34 12515.4i 0.209538 0.672882i
\(703\) −12643.4 + 7299.69i −0.678316 + 0.391626i
\(704\) −5275.01 + 3045.53i −0.282399 + 0.163043i
\(705\) 8128.43 + 11945.2i 0.434233 + 0.638130i
\(706\) 1812.75i 0.0966341i
\(707\) −14171.0 13493.3i −0.753828 0.717777i
\(708\) −3429.25 + 7104.64i −0.182033 + 0.377131i
\(709\) −15078.8 + 26117.2i −0.798723 + 1.38343i 0.121725 + 0.992564i \(0.461157\pi\)
−0.920448 + 0.390865i \(0.872176\pi\)
\(710\) 867.923 + 1503.29i 0.0458768 + 0.0794610i
\(711\) 6641.40 16833.3i 0.350312 0.887901i
\(712\) −14925.0 8616.97i −0.785588 0.453560i
\(713\) −18342.0 −0.963415
\(714\) −6337.58 16827.2i −0.332182 0.881993i
\(715\) 9024.08 0.472002
\(716\) 3845.43 + 2220.16i 0.200713 + 0.115882i
\(717\) −2132.14 28797.4i −0.111054 1.49994i
\(718\) −1025.34 1775.95i −0.0532946 0.0923089i
\(719\) 13792.2 23888.7i 0.715384 1.23908i −0.247427 0.968907i \(-0.579585\pi\)
0.962811 0.270176i \(-0.0870817\pi\)
\(720\) −953.475 1200.02i −0.0493526 0.0621142i
\(721\) 1594.17 + 385.573i 0.0823441 + 0.0199161i
\(722\) 11049.7i 0.569569i
\(723\) 22306.5 15179.1i 1.14742 0.780795i
\(724\) 6331.60 3655.55i 0.325017 0.187649i
\(725\) −4101.73 + 2368.13i −0.210116 + 0.121311i
\(726\) −2817.90 + 1917.52i −0.144053 + 0.0980246i
\(727\) 17049.4i 0.869777i −0.900484 0.434889i \(-0.856788\pi\)
0.900484 0.434889i \(-0.143212\pi\)
\(728\) −22505.5 + 6625.15i −1.14576 + 0.337286i
\(729\) 17779.4 8444.72i 0.903287 0.429036i
\(730\) 3852.28 6672.35i 0.195314 0.338294i
\(731\) 5286.48 + 9156.45i 0.267479 + 0.463288i
\(732\) 906.232 + 12239.9i 0.0457586 + 0.618033i
\(733\) 14815.0 + 8553.46i 0.746529 + 0.431009i 0.824438 0.565952i \(-0.191491\pi\)
−0.0779095 + 0.996960i \(0.524825\pi\)
\(734\) 6223.86 0.312980
\(735\) −1092.36 8844.20i −0.0548195 0.443841i
\(736\) 14072.1 0.704764
\(737\) 3151.21 + 1819.35i 0.157498 + 0.0909316i
\(738\) −13522.7 5335.24i −0.674496 0.266115i
\(739\) −127.113 220.166i −0.00632738 0.0109593i 0.862844 0.505470i \(-0.168681\pi\)
−0.869172 + 0.494510i \(0.835347\pi\)
\(740\) −1718.75 + 2976.96i −0.0853816 + 0.147885i
\(741\) −15938.6 + 33021.1i −0.790172 + 1.63706i
\(742\) −2525.29 + 743.393i −0.124941 + 0.0367801i
\(743\) 31231.0i 1.54206i −0.636796 0.771032i \(-0.719741\pi\)
0.636796 0.771032i \(-0.280259\pi\)
\(744\) 15115.6 + 22213.3i 0.744847 + 1.09459i
\(745\) 275.604 159.120i 0.0135535 0.00782512i
\(746\) −12575.0 + 7260.17i −0.617162 + 0.356319i
\(747\) 20796.7 3096.52i 1.01862 0.151667i
\(748\) 20060.1i 0.980577i
\(749\) −15179.6 3671.40i −0.740521 0.179105i
\(750\) 914.106 + 441.219i 0.0445046 + 0.0214814i
\(751\) −805.681 + 1395.48i −0.0391474 + 0.0678053i −0.884935 0.465714i \(-0.845798\pi\)
0.845788 + 0.533519i \(0.179131\pi\)
\(752\) −3156.92 5467.95i −0.153087 0.265154i
\(753\) 5962.58 441.464i 0.288564 0.0213650i
\(754\) 15329.3 + 8850.40i 0.740400 + 0.427470i
\(755\) −4125.51 −0.198865
\(756\) −12392.3 7414.73i −0.596170 0.356708i
\(757\) 7794.46 0.374233 0.187116 0.982338i \(-0.440086\pi\)
0.187116 + 0.982338i \(0.440086\pi\)
\(758\) −10136.1 5852.06i −0.485697 0.280418i
\(759\) −11756.4 + 870.435i −0.562228 + 0.0416268i
\(760\) −6251.54 10828.0i −0.298378 0.516806i
\(761\) −15580.5 + 26986.2i −0.742170 + 1.28548i 0.209335 + 0.977844i \(0.432870\pi\)
−0.951505 + 0.307633i \(0.900463\pi\)
\(762\) −11589.3 5593.91i −0.550967 0.265940i
\(763\) 3385.17 + 3223.28i 0.160618 + 0.152936i
\(764\) 5438.13i 0.257519i
\(765\) −15965.3 + 2377.15i −0.754545 + 0.112348i
\(766\) 1769.17 1021.43i 0.0834500 0.0481799i
\(767\) 14144.0 8166.04i 0.665854 0.384431i
\(768\) −10121.2 14873.6i −0.475542 0.698835i
\(769\) 24931.9i 1.16914i −0.811343 0.584570i \(-0.801263\pi\)
0.811343 0.584570i \(-0.198737\pi\)
\(770\) −1026.94 + 4245.93i −0.0480627 + 0.198718i
\(771\) −12769.2 + 26454.8i −0.596460 + 1.23573i
\(772\) −8589.14 + 14876.8