Properties

Label 108.3.j.a.31.12
Level 108
Weight 3
Character 108.31
Analytic conductor 2.943
Analytic rank 0
Dimension 204
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 108 = 2^{2} \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 108.j (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.94278685509\)
Analytic rank: \(0\)
Dimension: \(204\)
Relative dimension: \(34\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 31.12
Character \(\chi\) \(=\) 108.31
Dual form 108.3.j.a.7.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.07434 - 1.68695i) q^{2} +(2.99807 + 0.107643i) q^{3} +(-1.69158 + 3.62471i) q^{4} +(-0.755508 + 4.28470i) q^{5} +(-3.03936 - 5.17323i) q^{6} +(6.44162 + 7.67682i) q^{7} +(7.93204 - 1.04057i) q^{8} +(8.97683 + 0.645444i) q^{9} +O(q^{10})\) \(q+(-1.07434 - 1.68695i) q^{2} +(2.99807 + 0.107643i) q^{3} +(-1.69158 + 3.62471i) q^{4} +(-0.755508 + 4.28470i) q^{5} +(-3.03936 - 5.17323i) q^{6} +(6.44162 + 7.67682i) q^{7} +(7.93204 - 1.04057i) q^{8} +(8.97683 + 0.645444i) q^{9} +(8.03973 - 3.32873i) q^{10} +(-16.5915 + 2.92553i) q^{11} +(-5.46165 + 10.6851i) q^{12} +(7.70282 - 2.80360i) q^{13} +(6.02990 - 19.1142i) q^{14} +(-2.72628 + 12.7645i) q^{15} +(-10.2771 - 12.2630i) q^{16} +(13.2638 - 22.9735i) q^{17} +(-8.55535 - 15.8369i) q^{18} +(-10.2637 + 5.92574i) q^{19} +(-14.2528 - 9.98641i) q^{20} +(18.4861 + 23.7090i) q^{21} +(22.7602 + 24.8460i) q^{22} +(14.3578 - 17.1110i) q^{23} +(23.8928 - 2.26588i) q^{24} +(5.70448 + 2.07626i) q^{25} +(-13.0050 - 9.98223i) q^{26} +(26.8437 + 2.90138i) q^{27} +(-38.7228 + 10.3631i) q^{28} +(-29.1256 - 10.6009i) q^{29} +(24.4620 - 9.11432i) q^{30} +(-12.9259 + 15.4045i) q^{31} +(-9.64589 + 30.5116i) q^{32} +(-50.0574 + 6.98497i) q^{33} +(-53.0049 + 2.30613i) q^{34} +(-37.7596 + 21.8005i) q^{35} +(-17.5246 + 31.4466i) q^{36} +(20.1962 - 34.9808i) q^{37} +(21.0231 + 10.9480i) q^{38} +(23.3954 - 7.57622i) q^{39} +(-1.53417 + 34.7725i) q^{40} +(-34.1160 + 12.4172i) q^{41} +(20.1356 - 56.6566i) q^{42} +(-25.3466 + 4.46929i) q^{43} +(17.4617 - 65.0882i) q^{44} +(-9.54759 + 37.9753i) q^{45} +(-44.2905 - 5.83783i) q^{46} +(12.9992 + 15.4919i) q^{47} +(-29.4915 - 37.8716i) q^{48} +(-8.93040 + 50.6468i) q^{49} +(-2.62602 - 11.8538i) q^{50} +(42.2386 - 67.4484i) q^{51} +(-2.86770 + 32.6630i) q^{52} +46.7045 q^{53} +(-23.9448 - 48.4009i) q^{54} -73.2998i q^{55} +(59.0835 + 54.1899i) q^{56} +(-31.4091 + 16.6610i) q^{57} +(13.4078 + 60.5223i) q^{58} +(-36.4280 - 6.42325i) q^{59} +(-41.6559 - 31.4742i) q^{60} +(48.7491 - 40.9054i) q^{61} +(39.8734 + 5.25563i) q^{62} +(52.8703 + 73.0712i) q^{63} +(61.8344 - 16.5078i) q^{64} +(6.19303 + 35.1224i) q^{65} +(65.5620 + 76.9399i) q^{66} +(-25.9527 - 71.3043i) q^{67} +(60.8357 + 86.9390i) q^{68} +(44.8875 - 49.7543i) q^{69} +(77.3429 + 40.2772i) q^{70} +(17.4692 + 10.0858i) q^{71} +(71.8761 - 4.22137i) q^{72} +(-50.2648 - 87.0613i) q^{73} +(-80.7083 + 3.51145i) q^{74} +(16.8789 + 6.83883i) q^{75} +(-4.11727 - 47.2268i) q^{76} +(-129.335 - 108.525i) q^{77} +(-37.9153 - 31.3273i) q^{78} +(29.7876 - 81.8406i) q^{79} +(60.3076 - 34.7695i) q^{80} +(80.1668 + 11.5881i) q^{81} +(57.5993 + 44.2115i) q^{82} +(-25.2237 + 69.3017i) q^{83} +(-117.209 + 26.9009i) q^{84} +(88.4137 + 74.1879i) q^{85} +(34.7704 + 37.9569i) q^{86} +(-86.1795 - 34.9173i) q^{87} +(-128.560 + 40.4701i) q^{88} +(-37.6081 - 65.1392i) q^{89} +(74.3198 - 24.6922i) q^{90} +(71.1414 + 41.0735i) q^{91} +(37.7350 + 80.9875i) q^{92} +(-40.4110 + 44.7924i) q^{93} +(12.1684 - 38.5725i) q^{94} +(-17.6357 - 48.4537i) q^{95} +(-32.2034 + 90.4375i) q^{96} +(12.6145 + 71.5405i) q^{97} +(95.0328 - 39.3469i) q^{98} +(-150.827 + 15.5531i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 204q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 3q^{8} - 12q^{9} + O(q^{10}) \) \( 204q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 3q^{8} - 12q^{9} - 3q^{10} + 39q^{12} - 12q^{13} + 39q^{14} - 6q^{16} - 6q^{17} - 27q^{18} - 69q^{20} - 12q^{21} - 6q^{22} - 138q^{24} - 12q^{25} - 174q^{26} - 12q^{28} + 60q^{29} - 153q^{30} - 96q^{32} + 48q^{33} + 6q^{34} + 24q^{36} - 6q^{37} + 72q^{38} + 69q^{40} - 192q^{41} - 126q^{42} - 219q^{44} - 132q^{45} - 3q^{46} - 219q^{48} - 12q^{49} - 165q^{50} + 21q^{52} - 24q^{53} + 78q^{54} + 99q^{56} - 150q^{57} - 141q^{58} + 210q^{60} - 12q^{61} + 294q^{62} - 3q^{64} - 156q^{65} + 393q^{66} + 375q^{68} - 60q^{69} - 165q^{70} + 228q^{72} - 6q^{73} + 447q^{74} - 54q^{76} + 132q^{77} + 750q^{78} + 798q^{80} + 228q^{81} - 12q^{82} + 762q^{84} + 138q^{85} + 606q^{86} - 198q^{88} - 114q^{89} + 894q^{90} + 723q^{92} - 1020q^{93} - 357q^{94} + 474q^{96} + 168q^{97} + 510q^{98} + O(q^{100}) \)

Character values

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

\(n\) \(29\) \(55\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.07434 1.68695i −0.537171 0.843474i
\(3\) 2.99807 + 0.107643i 0.999356 + 0.0358811i
\(4\) −1.69158 + 3.62471i −0.422895 + 0.906179i
\(5\) −0.755508 + 4.28470i −0.151102 + 0.856939i 0.811162 + 0.584821i \(0.198835\pi\)
−0.962264 + 0.272118i \(0.912276\pi\)
\(6\) −3.03936 5.17323i −0.506560 0.862205i
\(7\) 6.44162 + 7.67682i 0.920232 + 1.09669i 0.995038 + 0.0994912i \(0.0317215\pi\)
−0.0748069 + 0.997198i \(0.523834\pi\)
\(8\) 7.93204 1.04057i 0.991505 0.130072i
\(9\) 8.97683 + 0.645444i 0.997425 + 0.0717160i
\(10\) 8.03973 3.32873i 0.803973 0.332873i
\(11\) −16.5915 + 2.92553i −1.50832 + 0.265957i −0.865830 0.500338i \(-0.833209\pi\)
−0.642489 + 0.766295i \(0.722098\pi\)
\(12\) −5.46165 + 10.6851i −0.455137 + 0.890421i
\(13\) 7.70282 2.80360i 0.592525 0.215661i −0.0283148 0.999599i \(-0.509014\pi\)
0.620840 + 0.783938i \(0.286792\pi\)
\(14\) 6.02990 19.1142i 0.430707 1.36530i
\(15\) −2.72628 + 12.7645i −0.181752 + 0.850966i
\(16\) −10.2771 12.2630i −0.642319 0.766437i
\(17\) 13.2638 22.9735i 0.780222 1.35138i −0.151590 0.988443i \(-0.548439\pi\)
0.931812 0.362941i \(-0.118227\pi\)
\(18\) −8.55535 15.8369i −0.475297 0.879825i
\(19\) −10.2637 + 5.92574i −0.540194 + 0.311881i −0.745158 0.666888i \(-0.767626\pi\)
0.204964 + 0.978770i \(0.434292\pi\)
\(20\) −14.2528 9.98641i −0.712640 0.499320i
\(21\) 18.4861 + 23.7090i 0.880289 + 1.12900i
\(22\) 22.7602 + 24.8460i 1.03455 + 1.12936i
\(23\) 14.3578 17.1110i 0.624252 0.743955i −0.357543 0.933897i \(-0.616385\pi\)
0.981795 + 0.189942i \(0.0608299\pi\)
\(24\) 23.8928 2.26588i 0.995533 0.0944118i
\(25\) 5.70448 + 2.07626i 0.228179 + 0.0830505i
\(26\) −13.0050 9.98223i −0.500192 0.383932i
\(27\) 26.8437 + 2.90138i 0.994210 + 0.107459i
\(28\) −38.7228 + 10.3631i −1.38296 + 0.370110i
\(29\) −29.1256 10.6009i −1.00433 0.365547i −0.213078 0.977035i \(-0.568349\pi\)
−0.791254 + 0.611488i \(0.790571\pi\)
\(30\) 24.4620 9.11432i 0.815399 0.303811i
\(31\) −12.9259 + 15.4045i −0.416965 + 0.496920i −0.933115 0.359579i \(-0.882920\pi\)
0.516150 + 0.856498i \(0.327365\pi\)
\(32\) −9.64589 + 30.5116i −0.301434 + 0.953487i
\(33\) −50.0574 + 6.98497i −1.51689 + 0.211666i
\(34\) −53.0049 + 2.30613i −1.55897 + 0.0678275i
\(35\) −37.7596 + 21.8005i −1.07884 + 0.622871i
\(36\) −17.5246 + 31.4466i −0.486794 + 0.873517i
\(37\) 20.1962 34.9808i 0.545842 0.945426i −0.452711 0.891657i \(-0.649543\pi\)
0.998553 0.0537690i \(-0.0171235\pi\)
\(38\) 21.0231 + 10.9480i 0.553240 + 0.288106i
\(39\) 23.3954 7.57622i 0.599881 0.194262i
\(40\) −1.53417 + 34.7725i −0.0383542 + 0.869313i
\(41\) −34.1160 + 12.4172i −0.832096 + 0.302858i −0.722719 0.691142i \(-0.757108\pi\)
−0.109377 + 0.994000i \(0.534886\pi\)
\(42\) 20.1356 56.6566i 0.479418 1.34897i
\(43\) −25.3466 + 4.46929i −0.589456 + 0.103937i −0.460417 0.887703i \(-0.652300\pi\)
−0.129039 + 0.991640i \(0.541189\pi\)
\(44\) 17.4617 65.0882i 0.396856 1.47928i
\(45\) −9.54759 + 37.9753i −0.212169 + 0.843896i
\(46\) −44.2905 5.83783i −0.962836 0.126909i
\(47\) 12.9992 + 15.4919i 0.276579 + 0.329614i 0.886396 0.462928i \(-0.153201\pi\)
−0.609817 + 0.792543i \(0.708757\pi\)
\(48\) −29.4915 37.8716i −0.614405 0.788991i
\(49\) −8.93040 + 50.6468i −0.182253 + 1.03361i
\(50\) −2.62602 11.8538i −0.0525204 0.237076i
\(51\) 42.2386 67.4484i 0.828209 1.32252i
\(52\) −2.86770 + 32.6630i −0.0551481 + 0.628135i
\(53\) 46.7045 0.881217 0.440609 0.897699i \(-0.354763\pi\)
0.440609 + 0.897699i \(0.354763\pi\)
\(54\) −23.9448 48.4009i −0.443422 0.896313i
\(55\) 73.2998i 1.33272i
\(56\) 59.0835 + 54.1899i 1.05506 + 0.967676i
\(57\) −31.4091 + 16.6610i −0.551037 + 0.292298i
\(58\) 13.4078 + 60.5223i 0.231169 + 1.04349i
\(59\) −36.4280 6.42325i −0.617424 0.108869i −0.143817 0.989604i \(-0.545938\pi\)
−0.473608 + 0.880736i \(0.657049\pi\)
\(60\) −41.6559 31.4742i −0.694265 0.524569i
\(61\) 48.7491 40.9054i 0.799166 0.670580i −0.148830 0.988863i \(-0.547551\pi\)
0.947996 + 0.318283i \(0.103106\pi\)
\(62\) 39.8734 + 5.25563i 0.643120 + 0.0847683i
\(63\) 52.8703 + 73.0712i 0.839212 + 1.15986i
\(64\) 61.8344 16.5078i 0.966163 0.257934i
\(65\) 6.19303 + 35.1224i 0.0952773 + 0.540344i
\(66\) 65.5620 + 76.9399i 0.993364 + 1.16576i
\(67\) −25.9527 71.3043i −0.387353 1.06424i −0.968188 0.250223i \(-0.919496\pi\)
0.580835 0.814021i \(1.69727\pi\)
\(68\) 60.8357 + 86.9390i 0.894643 + 1.27851i
\(69\) 44.8875 49.7543i 0.650544 0.721077i
\(70\) 77.3429 + 40.2772i 1.10490 + 0.575389i
\(71\) 17.4692 + 10.0858i 0.246045 + 0.142054i 0.617952 0.786216i \(-0.287963\pi\)
−0.371907 + 0.928270i \(0.621296\pi\)
\(72\) 71.8761 4.22137i 0.998280 0.0586302i
\(73\) −50.2648 87.0613i −0.688560 1.19262i −0.972304 0.233720i \(-0.924910\pi\)
0.283744 0.958900i \(-0.408423\pi\)
\(74\) −80.7083 + 3.51145i −1.09065 + 0.0474520i
\(75\) 16.8789 + 6.83883i 0.225053 + 0.0911844i
\(76\) −4.11727 47.2268i −0.0541746 0.621405i
\(77\) −129.335 108.525i −1.67967 1.40941i
\(78\) −37.9153 31.3273i −0.486094 0.401632i
\(79\) 29.7876 81.8406i 0.377058 1.03596i −0.595512 0.803346i \(-0.703051\pi\)
0.972570 0.232611i \(-0.0747269\pi\)
\(80\) 60.3076 34.7695i 0.753845 0.434619i
\(81\) 80.1668 + 11.5881i 0.989714 + 0.143063i
\(82\) 57.5993 + 44.2115i 0.702431 + 0.539165i
\(83\) −25.2237 + 69.3017i −0.303900 + 0.834960i 0.689912 + 0.723893i \(0.257649\pi\)
−0.993813 + 0.111067i \(0.964573\pi\)
\(84\) −117.209 + 26.9009i −1.39535 + 0.320249i
\(85\) 88.4137 + 74.1879i 1.04016 + 0.872799i
\(86\) 34.7704 + 37.9569i 0.404307 + 0.441359i
\(87\) −86.1795 34.9173i −0.990569 0.401348i
\(88\) −128.560 + 40.4701i −1.46091 + 0.459888i
\(89\) −37.6081 65.1392i −0.422563 0.731901i 0.573626 0.819117i \(-0.305536\pi\)
−0.996189 + 0.0872163i \(0.972203\pi\)
\(90\) 74.3198 24.6922i 0.825775 0.274358i
\(91\) 71.1414 + 41.0735i 0.781774 + 0.451357i
\(92\) 37.7350 + 80.9875i 0.410163 + 0.880299i
\(93\) −40.4110 + 44.7924i −0.434527 + 0.481639i
\(94\) 12.1684 38.5725i 0.129451 0.410346i
\(95\) −17.6357 48.4537i −0.185639 0.510039i
\(96\) −32.2034 + 90.4375i −0.335452 + 0.942057i
\(97\) 12.6145 + 71.5405i 0.130047 + 0.737531i 0.978182 + 0.207751i \(0.0666144\pi\)
−0.848135 + 0.529780i \(0.822274\pi\)
\(98\) 95.0328 39.3469i 0.969722 0.401499i
\(99\) −150.827 + 15.5531i −1.52351 + 0.157102i
\(100\) −17.1755 + 17.1650i −0.171755 + 0.171650i
\(101\) 40.3702 33.8746i 0.399705 0.335392i −0.420675 0.907211i \(-0.638207\pi\)
0.820379 + 0.571820i \(0.193762\pi\)
\(102\) −159.161 + 1.20832i −1.56040 + 0.0118462i
\(103\) −42.8748 7.55998i −0.416260 0.0733979i −0.0384042 0.999262i \(-0.512227\pi\)
−0.377856 + 0.925864i \(0.623339\pi\)
\(104\) 58.1817 30.2536i 0.559440 0.290900i
\(105\) −115.552 + 61.2948i −1.10050 + 0.583760i
\(106\) −50.1766 78.7880i −0.473364 0.743283i
\(107\) 70.5658i 0.659493i 0.944069 + 0.329747i \(0.106963\pi\)
−0.944069 + 0.329747i \(0.893037\pi\)
\(108\) −55.9249 + 92.3927i −0.517823 + 0.855488i
\(109\) −89.3232 −0.819479 −0.409739 0.912203i \(-0.634380\pi\)
−0.409739 + 0.912203i \(0.634380\pi\)
\(110\) −123.653 + 78.7490i −1.12412 + 0.715900i
\(111\) 64.3149 102.701i 0.579413 0.925232i
\(112\) 27.9396 157.889i 0.249461 1.40972i
\(113\) −13.7107 + 77.7573i −0.121334 + 0.688118i 0.862084 + 0.506765i \(0.169159\pi\)
−0.983418 + 0.181353i \(0.941952\pi\)
\(114\) 61.8503 + 35.0859i 0.542546 + 0.307771i
\(115\) 62.4678 + 74.4463i 0.543199 + 0.647359i
\(116\) 87.6934 87.6399i 0.755978 0.755516i
\(117\) 70.9565 20.1957i 0.606465 0.172613i
\(118\) 28.3005 + 68.3529i 0.239835 + 0.579262i
\(119\) 261.804 46.1631i 2.20003 0.387925i
\(120\) −8.34257 + 104.085i −0.0695214 + 0.867377i
\(121\) 153.017 55.6935i 1.26460 0.460277i
\(122\) −121.378 38.2909i −0.994905 0.313860i
\(123\) −103.619 + 33.5552i −0.842427 + 0.272807i
\(124\) −33.9717 72.9107i −0.273965 0.587990i
\(125\) −67.5909 + 117.071i −0.540727 + 0.936567i
\(126\) 66.4665 167.693i 0.527512 1.33090i
\(127\) 82.1426 47.4250i 0.646792 0.373425i −0.140434 0.990090i \(-0.544850\pi\)
0.787226 + 0.616665i \(0.211517\pi\)
\(128\) −94.2790 86.5764i −0.736555 0.676378i
\(129\) −76.4720 + 10.6708i −0.592806 + 0.0827198i
\(130\) 52.5962 48.1808i 0.404586 0.370621i
\(131\) 7.26521 8.65835i 0.0554597 0.0660942i −0.737601 0.675236i \(-0.764042\pi\)
0.793061 + 0.609142i \(0.208486\pi\)
\(132\) 59.3575 193.259i 0.449678 1.46409i
\(133\) −111.606 40.6211i −0.839140 0.305422i
\(134\) −92.4046 + 120.386i −0.689587 + 0.898403i
\(135\) −32.7121 + 112.825i −0.242312 + 0.835740i
\(136\) 81.3031 196.029i 0.597817 1.44139i
\(137\) 147.499 + 53.6854i 1.07664 + 0.391864i 0.818655 0.574286i \(-0.194720\pi\)
0.257982 + 0.966150i \(0.416942\pi\)
\(138\) −132.157 22.2698i −0.957663 0.161375i
\(139\) −113.198 + 134.904i −0.814376 + 0.970535i −0.999927 0.0120996i \(-0.996148\pi\)
0.185551 + 0.982635i \(0.440593\pi\)
\(140\) −15.1472 173.745i −0.108194 1.24103i
\(141\) 37.3049 + 47.8449i 0.264574 + 0.339326i
\(142\) −1.75359 40.3052i −0.0123493 0.283839i
\(143\) −119.599 + 69.0507i −0.836359 + 0.482872i
\(144\) −84.3408 116.716i −0.585700 0.810528i
\(145\) 67.4261 116.785i 0.465008 0.805417i
\(146\) −92.8661 + 178.328i −0.636069 + 1.22142i
\(147\) −32.2257 + 150.881i −0.219223 + 1.02640i
\(148\) 92.6319 + 132.378i 0.625891 + 0.894446i
\(149\) −92.5431 + 33.6829i −0.621094 + 0.226060i −0.633351 0.773865i \(-0.718321\pi\)
0.0122562 + 0.999925i \(0.496099\pi\)
\(150\) −6.59701 35.8211i −0.0439800 0.238807i
\(151\) 0.769516 0.135686i 0.00509613 0.000898586i −0.171100 0.985254i \(-0.554732\pi\)
0.176196 + 0.984355i \(0.443621\pi\)
\(152\) −75.2458 + 57.6833i −0.495038 + 0.379496i
\(153\) 133.895 197.668i 0.875129 1.29195i
\(154\) −44.1259 + 334.774i −0.286532 + 2.17386i
\(155\) −56.2380 67.0219i −0.362826 0.432399i
\(156\) −12.1135 + 97.6173i −0.0776508 + 0.625752i
\(157\) −30.8928 + 175.202i −0.196769 + 1.11593i 0.713107 + 0.701055i \(0.247287\pi\)
−0.909876 + 0.414879i \(0.863824\pi\)
\(158\) −170.063 + 37.6748i −1.07635 + 0.238448i
\(159\) 140.023 + 5.02743i 0.880650 + 0.0316191i
\(160\) −123.445 64.3814i −0.771533 0.402384i
\(161\) 223.845 1.39034
\(162\) −66.5780 147.687i −0.410976 0.911646i
\(163\) 268.797i 1.64906i −0.565818 0.824530i \(-0.691439\pi\)
0.565818 0.824530i \(-0.308561\pi\)
\(164\) 12.7011 144.665i 0.0774458 0.882105i
\(165\) 7.89024 219.758i 0.0478196 1.33187i
\(166\) 144.007 31.9025i 0.867513 0.192184i
\(167\) 21.3074 + 3.75708i 0.127589 + 0.0224975i 0.237078 0.971491i \(-0.423810\pi\)
−0.109489 + 0.993988i \(0.534921\pi\)
\(168\) 171.303 + 168.825i 1.01966 + 1.00491i
\(169\) −77.9882 + 65.4399i −0.461469 + 0.387218i
\(170\) 30.1646 228.852i 0.177439 1.34619i
\(171\) −95.9601 + 46.5697i −0.561170 + 0.272338i
\(172\) 26.6759 99.4344i 0.155093 0.578107i
\(173\) −20.3403 115.356i −0.117574 0.666796i −0.985443 0.170003i \(-0.945622\pi\)
0.867869 0.496792i \(-0.165489\pi\)
\(174\) 33.6826 + 182.893i 0.193578 + 1.05111i
\(175\) 20.8070 + 57.1668i 0.118897 + 0.326668i
\(176\) 206.389 + 173.396i 1.17266 + 0.985202i
\(177\) −108.522 23.1786i −0.613121 0.130952i
\(178\) −69.4824 + 133.425i −0.390350 + 0.749577i
\(179\) 17.3998 + 10.0458i 0.0972054 + 0.0561216i 0.547815 0.836600i \(-0.315460\pi\)
−0.450609 + 0.892721i \(0.648793\pi\)
\(180\) −121.499 98.8456i −0.674996 0.549142i
\(181\) 96.6241 + 167.358i 0.533835 + 0.924629i 0.999219 + 0.0395201i \(0.0125829\pi\)
−0.465384 + 0.885109i \(0.654084\pi\)
\(182\) −7.14133 164.139i −0.0392381 0.901861i
\(183\) 150.556 117.390i 0.822713 0.641473i
\(184\) 96.0814 150.665i 0.522181 0.818832i
\(185\) 134.624 + 112.963i 0.727695 + 0.610609i
\(186\) 118.978 + 20.0489i 0.639664 + 0.107790i
\(187\) −152.856 + 419.969i −0.817413 + 2.24582i
\(188\) −78.1428 + 20.9127i −0.415653 + 0.111238i
\(189\) 150.643 + 224.764i 0.797054 + 1.18923i
\(190\) −62.7921 + 81.8064i −0.330485 + 0.430560i
\(191\) −87.6196 + 240.733i −0.458741 + 1.26038i 0.467682 + 0.883897i \(0.345089\pi\)
−0.926423 + 0.376484i \(0.877133\pi\)
\(192\) 187.161 42.8353i 0.974795 0.223101i
\(193\) −217.111 182.178i −1.12493 0.943928i −0.126087 0.992019i \(-0.540242\pi\)
−0.998843 + 0.0480909i \(0.984686\pi\)
\(194\) 107.133 98.1390i 0.552231 0.505871i
\(195\) 14.7864 + 105.966i 0.0758278 + 0.543415i
\(196\) −168.474 118.043i −0.859560 0.602262i
\(197\) 142.022 + 245.990i 0.720925 + 1.24868i 0.960630 + 0.277832i \(0.0896160\pi\)
−0.239705 + 0.970846i \(0.577051\pi\)
\(198\) 188.277 + 237.728i 0.950895 + 1.20065i
\(199\) 118.652 + 68.5039i 0.596242 + 0.344241i 0.767562 0.640975i \(-0.221470\pi\)
−0.171320 + 0.985216i \(0.554803\pi\)
\(200\) 47.4087 + 10.5330i 0.237043 + 0.0526652i
\(201\) −70.1324 216.569i −0.348917 1.07746i
\(202\) −100.516 31.7094i −0.497604 0.156977i
\(203\) −106.235 291.879i −0.523326 1.43783i
\(204\) 173.031 + 267.197i 0.848193 + 1.30979i
\(205\) −27.4290 155.558i −0.133800 0.758818i
\(206\) 33.3089 + 80.4495i 0.161694 + 0.390532i
\(207\) 139.932 144.335i 0.675998 0.697270i
\(208\) −113.543 65.6468i −0.545881 0.315609i
\(209\) 152.954 128.344i 0.731838 0.614085i
\(210\) 227.544 + 129.079i 1.08354 + 0.614663i
\(211\) −181.862 32.0671i −0.861903 0.151977i −0.274813 0.961498i \(-0.588616\pi\)
−0.587091 + 0.809521i \(0.699727\pi\)
\(212\) −79.0044 + 169.291i −0.372662 + 0.798540i
\(213\) 51.2881 + 32.1185i 0.240789 + 0.150791i
\(214\) 119.041 75.8117i 0.556265 0.354260i
\(215\) 111.979i 0.520833i
\(216\) 215.944 4.91897i 0.999741 0.0227730i
\(217\) −201.522 −0.928671
\(218\) 95.9636 + 150.684i 0.440200 + 0.691209i
\(219\) −141.326 266.426i −0.645324 1.21656i
\(220\) 265.691 + 123.993i 1.20769 + 0.563602i
\(221\) 37.7599 214.147i 0.170859 0.968992i
\(222\) −242.347 + 1.83985i −1.09165 + 0.00828762i
\(223\) 140.359 + 167.273i 0.629413 + 0.750105i 0.982658 0.185426i \(-0.0593664\pi\)
−0.353245 + 0.935531i \(0.614922\pi\)
\(224\) −296.367 + 122.494i −1.32307 + 0.546849i
\(225\) 49.8681 + 22.3202i 0.221636 + 0.0992008i
\(226\) 145.902 60.4087i 0.645586 0.267295i
\(227\) 298.580 52.6476i 1.31533 0.231928i 0.528412 0.848988i \(-0.322788\pi\)
0.786916 + 0.617060i \(0.211676\pi\)
\(228\) −7.26021 142.032i −0.0318430 0.622949i
\(229\) −291.207 + 105.991i −1.27164 + 0.462841i −0.887660 0.460499i \(-0.847671\pi\)
−0.383985 + 0.923340i \(0.625448\pi\)
\(230\) 58.4751 185.361i 0.254240 0.805916i
\(231\) −376.073 339.287i −1.62802 1.46878i
\(232\) −242.056 53.7790i −1.04335 0.231806i
\(233\) −21.7586 + 37.6870i −0.0933845 + 0.161747i −0.908933 0.416942i \(-0.863102\pi\)
0.815549 + 0.578688i \(0.196435\pi\)
\(234\) −110.300 98.0027i −0.471370 0.418815i
\(235\) −76.1989 + 43.9935i −0.324251 + 0.187206i
\(236\) 84.9034 121.176i 0.359760 0.513457i
\(237\) 98.1147 242.157i 0.413986 1.02176i
\(238\) −359.142 392.054i −1.50900 1.64729i
\(239\) 214.161 255.227i 0.896069 1.06789i −0.101260 0.994860i \(-0.532287\pi\)
0.997329 0.0730337i \(-0.0232681\pi\)
\(240\) 184.549 97.7497i 0.768955 0.407290i
\(241\) 325.919 + 118.625i 1.35236 + 0.492219i 0.913684 0.406426i \(-0.133225\pi\)
0.438677 + 0.898645i \(0.355447\pi\)
\(242\) −258.344 198.297i −1.06754 0.819409i
\(243\) 239.098 + 43.3713i 0.983943 + 0.178483i
\(244\) 65.8073 + 245.896i 0.269702 + 1.00777i
\(245\) −210.259 76.5281i −0.858201 0.312360i
\(246\) 167.928 + 138.749i 0.682633 + 0.564021i
\(247\) −62.4460 + 74.4202i −0.252818 + 0.301296i
\(248\) −86.4993 + 135.640i −0.348788 + 0.546934i
\(249\) −83.0823 + 205.056i −0.333664 + 0.823518i
\(250\) 270.108 11.7518i 1.08043 0.0470073i
\(251\) 12.1468 7.01295i 0.0483935 0.0279400i −0.475608 0.879657i \(-0.657772\pi\)
0.524002 + 0.851717i \(0.324439\pi\)
\(252\) −354.297 + 68.0341i −1.40594 + 0.269976i
\(253\) −188.159 + 325.901i −0.743711 + 1.28815i
\(254\) −168.253 87.6195i −0.662412 0.344958i
\(255\) 257.084 + 231.938i 1.00817 + 0.909559i
\(256\) −44.7620 + 252.056i −0.174851 + 0.984595i
\(257\) −159.478 + 58.0452i −0.620537 + 0.225857i −0.633107 0.774064i \(-0.718221\pi\)
0.0125705 + 0.999921i \(0.495999\pi\)
\(258\) 100.158 + 117.540i 0.388210 + 0.455582i
\(259\) 398.637 70.2905i 1.53914 0.271392i
\(260\) −137.785 36.9644i −0.529941 0.142171i
\(261\) −254.613 113.961i −0.975530 0.436632i
\(262\) −22.4115 2.95401i −0.0855400 0.0112749i
\(263\) −208.683 248.699i −0.793473 0.945624i 0.205985 0.978555i \(-0.433960\pi\)
−0.999458 + 0.0329313i \(0.989516\pi\)
\(264\) −389.789 + 107.494i −1.47647 + 0.407172i
\(265\) −35.2856 + 200.115i −0.133153 + 0.755150i
\(266\) 51.3769 + 231.914i 0.193146 + 0.871857i
\(267\) −105.740 199.340i −0.396030 0.746592i
\(268\) 302.359 + 26.5460i 1.12820 + 0.0990524i
\(269\) −281.085 −1.04493 −0.522463 0.852662i \(-0.674987\pi\)
−0.522463 + 0.852662i \(0.674987\pi\)
\(270\) 225.474 66.0289i 0.835088 0.244551i
\(271\) 270.921i 0.999709i 0.866109 + 0.499855i \(0.166613\pi\)
−0.866109 + 0.499855i \(0.833387\pi\)
\(272\) −418.037 + 73.4480i −1.53690 + 0.270029i
\(273\) 208.865 + 130.799i 0.765075 + 0.479117i
\(274\) −67.9003 306.500i −0.247811 1.11861i
\(275\) −100.720 17.7597i −0.366255 0.0645807i
\(276\) 104.414 + 246.868i 0.378313 + 0.894449i
\(277\) 80.9996 67.9667i 0.292417 0.245367i −0.484763 0.874646i \(-0.661094\pi\)
0.777180 + 0.629279i \(0.216650\pi\)
\(278\) 349.190 + 46.0260i 1.25608 + 0.165561i
\(279\) −125.976 + 129.941i −0.451529 + 0.465737i
\(280\) −276.825 + 212.214i −0.988661 + 0.757907i
\(281\) 14.7191 + 83.4761i 0.0523811 + 0.297068i 0.999733 0.0231277i \(-0.00736245\pi\)
−0.947351 + 0.320196i \(0.896251\pi\)
\(282\) 40.6336 114.333i 0.144091 0.405437i
\(283\) −110.305 303.060i −0.389770 1.07088i −0.967105 0.254376i \(-0.918130\pi\)
0.577336 0.816507i \(1.69591\pi\)
\(284\) −66.1088 + 46.2598i −0.232777 + 0.162887i
\(285\) −47.6574 147.166i −0.167219 0.516372i
\(286\) 244.976 + 127.574i 0.856558 + 0.446062i
\(287\) −315.087 181.915i −1.09786 0.633851i
\(288\) −106.283 + 267.671i −0.369038 + 0.929414i
\(289\) −207.355 359.150i −0.717493 1.24273i
\(290\) −269.449 + 11.7232i −0.929136 + 0.0404248i
\(291\) 30.1183 + 215.841i 0.103499 + 0.741722i
\(292\) 400.599 34.9246i 1.37192 0.119605i
\(293\) 157.814 + 132.422i 0.538615 + 0.451952i 0.871064 0.491170i \(-0.163430\pi\)
−0.332449 + 0.943121i \(0.607875\pi\)
\(294\) 289.150 107.735i 0.983504 0.366445i
\(295\) 55.0433 151.230i 0.186588 0.512645i
\(296\) 123.797 298.484i 0.418232 1.00839i
\(297\) −453.865 + 30.3936i −1.52816 + 0.102335i
\(298\) 156.244 + 119.928i 0.524309 + 0.402444i
\(299\) 62.6233 172.056i 0.209443 0.575439i
\(300\) −53.3409 + 49.6129i −0.177803 + 0.165376i
\(301\) −197.583 165.792i −0.656423 0.550804i
\(302\) −1.05562 1.15236i −0.00349543 0.00381576i
\(303\) 124.679 97.2127i 0.411481 0.320834i
\(304\) 178.148 + 64.9640i 0.586014 + 0.213697i
\(305\) 138.437 + 239.780i 0.453891 + 0.786163i
\(306\) −477.305 13.5100i −1.55982 0.0441502i
\(307\) −194.400 112.237i −0.633225 0.365593i 0.148775 0.988871i \(-0.452467\pi\)
−0.782000 + 0.623278i \(0.785800\pi\)
\(308\) 612.152 285.224i 1.98751 0.926051i
\(309\) −127.728 27.2805i −0.413359 0.0882865i
\(310\) −52.6435 + 166.875i −0.169818 + 0.538306i
\(311\) 76.8272 + 211.081i 0.247033 + 0.678717i 0.999791 + 0.0204207i \(0.00650055\pi\)
−0.752759 + 0.658297i \(0.771277\pi\)
\(312\) 177.689 84.4395i 0.569517 0.270639i
\(313\) −69.3890 393.525i −0.221690 1.25727i −0.868912 0.494966i \(-0.835181\pi\)
0.647222 0.762301i \(-0.275931\pi\)
\(314\) 328.745 136.112i 1.04696 0.433478i
\(315\) −353.032 + 171.328i −1.12074 + 0.543897i
\(316\) 246.261 + 246.411i 0.779307 + 0.779783i
\(317\) 11.8267 9.92380i 0.0373083 0.0313054i −0.623943 0.781470i \(-0.714470\pi\)
0.661251 + 0.750165i \(0.270026\pi\)
\(318\) −141.952 241.613i −0.446389 0.759790i
\(319\) 514.251 + 90.6763i 1.61207 + 0.284252i
\(320\) 24.0144 + 277.413i 0.0750449 + 0.866917i
\(321\) −7.59594 + 211.561i −0.0236634 + 0.659069i
\(322\) −240.486 377.615i −0.746852 1.17272i
\(323\) 314.391i 0.973346i
\(324\) −177.612 + 270.980i −0.548185 + 0.836357i
\(325\) 49.7616 0.153113
\(326\) −453.446 + 288.780i −1.39094 + 0.885827i
\(327\) −267.797 9.61505i −0.818951 0.0294038i
\(328\) −257.688 + 133.994i −0.785634 + 0.408518i
\(329\) −35.1923 + 199.585i −0.106967 + 0.606643i
\(330\) −379.197 + 222.785i −1.14908 + 0.675105i
\(331\) −178.560 212.799i −0.539455 0.642898i 0.425610 0.904907i \(-0.360059\pi\)
−0.965065 + 0.262009i \(0.915615\pi\)
\(332\) −208.531 208.658i −0.628105 0.628488i
\(333\) 203.875 300.981i 0.612239 0.903846i
\(334\) −16.5535 39.9809i −0.0495613 0.119703i
\(335\) 325.125 57.3283i 0.970522 0.171129i
\(336\) 100.761 470.355i 0.299882 1.39987i
\(337\) 524.664 190.962i 1.55687 0.566653i 0.586850 0.809696i \(-0.300368\pi\)
0.970015 + 0.243043i \(0.0781457\pi\)
\(338\) 194.180 + 61.2572i 0.574496 + 0.181234i
\(339\) −49.4757 + 231.646i −0.145946 + 0.683321i
\(340\) −418.469 + 194.980i −1.23079 + 0.573470i
\(341\) 169.394 293.399i 0.496757 0.860408i
\(342\) 181.655 + 111.848i 0.531154 + 0.327040i
\(343\) −21.0731 + 12.1666i −0.0614376 + 0.0354710i
\(344\) −196.400 + 61.8256i −0.570929 + 0.179726i
\(345\) 179.269 + 229.919i 0.519621 + 0.666433i
\(346\) −172.746 + 158.244i −0.499267 + 0.457354i
\(347\) −288.093 + 343.336i −0.830241 + 0.989442i 0.169752 + 0.985487i \(0.445703\pi\)
−0.999992 + 0.00395526i \(0.998741\pi\)
\(348\) 272.345 253.311i 0.782600 0.727904i
\(349\) 479.457 + 174.508i 1.37380 + 0.500023i 0.920294 0.391228i \(-0.127950\pi\)
0.453509 + 0.891252i \(0.350172\pi\)
\(350\) 74.0836 96.5170i 0.211667 0.275763i
\(351\) 214.906 52.9100i 0.612268 0.150741i
\(352\) 70.7773 534.452i 0.201072 1.51833i
\(353\) −194.831 70.9126i −0.551928 0.200885i 0.0509748 0.998700i \(-0.483767\pi\)
−0.602903 + 0.797814i \(0.705989\pi\)
\(354\) 77.4890 + 207.973i 0.218896 + 0.587495i
\(355\) −56.4128 + 67.2302i −0.158909 + 0.189381i
\(356\) 299.728 26.1305i 0.841933 0.0734004i
\(357\) 789.875 110.219i 2.21254 0.308736i
\(358\) −1.74663 40.1451i −0.00487885 0.112137i
\(359\) −52.8592 + 30.5183i −0.147240 + 0.0850091i −0.571810 0.820386i \(-0.693759\pi\)
0.424570 + 0.905395i \(0.360425\pi\)
\(360\) −36.2157 + 311.157i −0.100599 + 0.864324i
\(361\) −110.271 + 190.995i −0.305460 + 0.529073i
\(362\) 178.517 342.799i 0.493140 0.946959i
\(363\) 464.749 150.502i 1.28030 0.414605i
\(364\) −269.221 + 188.388i −0.739618 + 0.517550i
\(365\) 411.007 149.594i 1.12605 0.409847i
\(366\) −359.779 127.864i −0.983003 0.349356i
\(367\) −258.395 + 45.5620i −0.704073 + 0.124147i −0.514211 0.857664i \(-0.671915\pi\)
−0.189862 + 0.981811i \(0.560804\pi\)
\(368\) −357.388 0.218360i −0.971164 0.000593369i
\(369\) −314.268 + 89.4470i −0.851674 + 0.242404i
\(370\) 45.9302 348.463i 0.124136 0.941793i
\(371\) 300.853 + 358.542i 0.810924 + 0.966421i
\(372\) −94.0012 222.248i −0.252691 0.597441i
\(373\) −96.1685 + 545.399i −0.257824 + 1.46219i 0.530893 + 0.847439i \(0.321857\pi\)
−0.788717 + 0.614756i \(0.789254\pi\)
\(374\) 872.685 193.330i 2.33338 0.516925i
\(375\) −215.244 + 343.711i −0.573984 + 0.916562i
\(376\) 119.231 + 109.355i 0.317103 + 0.290839i
\(377\) −254.070 −0.673926
\(378\) 217.322 495.600i 0.574926 1.31111i
\(379\) 61.8712i 0.163249i −0.996663 0.0816243i \(-0.973989\pi\)
0.996663 0.0816243i \(-0.0260107\pi\)
\(380\) 205.463 + 18.0389i 0.540693 + 0.0474709i
\(381\) 251.374 133.341i 0.659774 0.349977i
\(382\) 500.237 110.820i 1.30952 0.290104i
\(383\) 356.264 + 62.8189i 0.930193 + 0.164018i 0.618159 0.786053i \(-0.287879\pi\)
0.312034 + 0.950071i \(0.398990\pi\)
\(384\) −273.335 269.710i −0.711811 0.702371i
\(385\) 562.710 472.170i 1.46158 1.22641i
\(386\) −74.0730 + 561.977i −0.191899 + 1.45590i
\(387\) −230.417 + 23.7602i −0.595392 + 0.0613959i
\(388\) −280.652 75.2925i −0.723331 0.194053i
\(389\) −51.9683 294.727i −0.133595 0.757653i −0.975828 0.218540i \(-0.929871\pi\)
0.842233 0.539113i \(-0.181241\pi\)
\(390\) 162.873 138.788i 0.417624 0.355866i
\(391\) −202.661 556.805i −0.518313 1.42405i
\(392\) −18.1345 + 411.025i −0.0462614 + 1.04853i
\(393\) 22.7136 25.1763i 0.0577955 0.0640617i
\(394\) 262.391 503.861i 0.665967 1.27883i
\(395\) 328.158 + 189.462i 0.830778 + 0.479650i
\(396\) 198.761 573.015i 0.501922 1.44701i
\(397\) 197.081 + 341.354i 0.496425 + 0.859833i 0.999991 0.00412318i \(-0.00131245\pi\)
−0.503567 + 0.863956i \(0.667979\pi\)
\(398\) −11.9106 273.757i −0.0299261 0.687831i
\(399\) −330.229 133.799i −0.827641 0.335335i
\(400\) −33.1644 91.2920i −0.0829111 0.228230i
\(401\) −33.5438 28.1466i −0.0836503 0.0701909i 0.600004 0.799997i \(-0.295166\pi\)
−0.683654 + 0.729806i \(0.739610\pi\)
\(402\) −289.994 + 350.979i −0.721378 + 0.873081i
\(403\) −56.3780 + 154.897i −0.139896 + 0.384360i
\(404\) 54.4963 + 203.632i 0.134892 + 0.504039i
\(405\) −110.218 + 334.736i −0.272143 + 0.826507i
\(406\) −378.251 + 492.791i −0.931654 + 1.21377i
\(407\) −232.747 + 639.468i −0.571861 + 1.57117i
\(408\) 264.853 578.956i 0.649150 1.41901i
\(409\) −318.044 266.870i −0.777613 0.652495i 0.165033 0.986288i \(-0.447227\pi\)
−0.942646 + 0.333793i \(0.891671\pi\)
\(410\) −232.950 + 213.393i −0.568170 + 0.520472i
\(411\) 436.434 + 176.830i 1.06188 + 0.430243i
\(412\) 99.9290 142.621i 0.242546 0.346166i
\(413\) −185.346 321.028i −0.448778 0.777307i
\(414\) −393.820 80.9922i −0.951256 0.195633i
\(415\) −277.880 160.434i −0.669590 0.386588i
\(416\) 11.2416 + 262.069i 0.0270232 + 0.629972i
\(417\) −353.897 + 392.267i −0.848675 + 0.940689i
\(418\) −380.834 120.140i −0.911086 0.287417i
\(419\) 21.7249 + 59.6886i 0.0518493 + 0.142455i 0.962914 0.269809i \(-0.0869605\pi\)
−0.911065 + 0.412264i \(0.864738\pi\)
\(420\) −26.7099 522.530i −0.0635951 1.24412i
\(421\) 108.764 + 616.830i 0.258346 + 1.46515i 0.787335 + 0.616525i \(0.211460\pi\)
−0.528989 + 0.848629i \(0.677429\pi\)
\(422\) 141.286 + 341.242i 0.334801 + 0.808630i
\(423\) 106.693 + 147.458i 0.252228 + 0.348601i
\(424\) 370.462 48.5995i 0.873731 0.114622i
\(425\) 123.362 103.513i 0.290264 0.243560i
\(426\) −0.918810 121.027i −0.00215683 0.284100i
\(427\) 628.047 + 110.742i 1.47084 + 0.259348i
\(428\) −255.781 119.368i −0.597619 0.278896i
\(429\) −366.000 + 194.145i −0.853147 + 0.452552i
\(430\) −188.903 + 120.304i −0.439309 + 0.279776i
\(431\) 127.048i 0.294775i 0.989079 + 0.147388i \(0.0470865\pi\)
−0.989079 + 0.147388i \(0.952914\pi\)
\(432\) −240.296 359.001i −0.556240 0.831022i
\(433\) 587.542 1.35691 0.678454 0.734642i \(-0.262650\pi\)
0.678454 + 0.734642i \(0.262650\pi\)
\(434\) 216.503 + 339.956i 0.498855 + 0.783309i
\(435\) 214.719 342.873i 0.493607 0.788213i
\(436\) 151.097 323.771i 0.346554 0.742594i
\(437\) −45.9688 + 260.702i −0.105192 + 0.596573i
\(438\) −297.615 + 524.642i −0.679486 + 1.19781i
\(439\) −277.190 330.342i −0.631412 0.752488i 0.351576 0.936159i \(-0.385646\pi\)
−0.982988 + 0.183672i \(0.941202\pi\)
\(440\) −76.2740 581.417i −0.173350 1.32140i
\(441\) −112.856 + 448.884i −0.255910 + 1.01788i
\(442\) −401.822 + 166.368i −0.909100 + 0.376399i
\(443\) −774.476 + 136.561i −1.74825 + 0.308264i −0.954107 0.299465i \(-0.903192\pi\)
−0.794145 + 0.607729i \(0.792081\pi\)
\(444\) 263.467 + 406.850i 0.593394 + 0.916328i
\(445\) 307.515 111.926i 0.691045 0.251520i
\(446\) 131.388 416.487i 0.294592 0.933828i
\(447\) −281.076 + 91.0220i −0.628806 + 0.203629i
\(448\) 525.041 + 368.355i 1.17197 + 0.822221i
\(449\) −242.525 + 420.066i −0.540145 + 0.935559i 0.458750 + 0.888566i \(0.348297\pi\)
−0.998895 + 0.0469939i \(0.985036\pi\)
\(450\) −15.9224 108.104i −0.0353830 0.240232i
\(451\) 529.708 305.827i 1.17452 0.678109i
\(452\) −258.655 181.230i −0.572246 0.400952i
\(453\) 2.32167 0.323964i 0.00512509 0.000715152i
\(454\) −409.590 447.126i −0.902181 0.984860i
\(455\) −229.735 + 273.788i −0.504913 + 0.601732i
\(456\) −231.801 + 164.839i −0.508336 + 0.361489i
\(457\) −813.496 296.088i −1.78008 0.647896i −0.999746 0.0225304i \(-0.992828\pi\)
−0.780332 0.625365i \(-0.784950\pi\)
\(458\) 491.656 + 377.380i 1.07348 + 0.823974i
\(459\) 422.703 578.210i 0.920922 1.25972i
\(460\) −375.516 + 100.496i −0.816339 + 0.218470i
\(461\) −652.111 237.349i −1.41456 0.514857i −0.482094 0.876120i \(-0.660124\pi\)
−0.932464 + 0.361263i \(0.882346\pi\)
\(462\) −168.329 + 998.926i −0.364348 + 2.16218i
\(463\) −438.512 + 522.598i −0.947111 + 1.12872i 0.0444414 + 0.999012i \(0.485849\pi\)
−0.991552 + 0.129710i \(0.958595\pi\)
\(464\) 169.329 + 466.113i 0.364933 + 1.00455i
\(465\) −161.391 206.990i −0.347077 0.445139i
\(466\) 86.9521 3.78310i 0.186592 0.00811825i
\(467\) 388.222 224.140i 0.831310 0.479957i −0.0229910 0.999736i \(-0.507319\pi\)
0.854301 + 0.519779i \(0.173986\pi\)
\(468\) −46.8250 + 291.359i −0.100053 + 0.622563i
\(469\) 380.214 658.549i 0.810690 1.40416i
\(470\) 156.078 + 81.2796i 0.332082 + 0.172935i
\(471\) −111.478 + 521.941i −0.236684 + 1.10816i
\(472\) −295.632 13.0433i −0.626340 0.0276342i
\(473\) 407.463 148.305i 0.861445 0.313540i
\(474\) −513.915 + 94.6454i −1.08421 + 0.199674i
\(475\) −70.8524 + 12.4932i −0.149163 + 0.0263015i
\(476\) −275.534 + 1027.05i −0.578854 + 2.15767i
\(477\) 419.258 + 30.1452i 0.878948 + 0.0631974i
\(478\) −660.635 87.0770i −1.38208 0.182169i
\(479\) −370.059 441.020i −0.772567 0.920709i 0.226006 0.974126i \(-0.427433\pi\)
−0.998572 + 0.0534168i \(0.982989\pi\)
\(480\) −363.167 206.308i −0.756599 0.429808i
\(481\) 57.4954 326.073i 0.119533 0.677905i
\(482\) −150.034 677.251i −0.311275 1.40509i
\(483\) 671.104 + 24.0955i 1.38945 + 0.0498871i
\(484\) −56.9669 + 648.851i −0.117700 + 1.34060i
\(485\) −316.060 −0.651670
\(486\) −183.708 449.942i −0.378000 0.925806i
\(487\) 109.976i 0.225824i 0.993605 + 0.112912i \(0.0360178\pi\)
−0.993605 + 0.112912i \(0.963982\pi\)
\(488\) 344.115 375.190i 0.705153 0.768832i
\(489\) 28.9342 805.872i 0.0591702 1.64800i
\(490\) 96.7914 + 436.913i 0.197533 + 0.891660i
\(491\) −382.906 67.5166i −0.779849 0.137508i −0.230467 0.973080i \(-0.574025\pi\)
−0.549381 + 0.835572i \(0.685137\pi\)
\(492\) 53.6510 432.349i 0.109047 0.878758i
\(493\) −629.855 + 528.511i −1.27760 + 1.07203i
\(494\) 192.631 + 25.3903i 0.389942 + 0.0513974i
\(495\) 47.3109 658.000i 0.0955777 1.32929i
\(496\) 321.746 + 0.196583i 0.648682 + 0.000396337i
\(497\) 35.1026 + 199.077i 0.0706290 + 0.400557i
\(498\) 435.177 80.1446i 0.873850 0.160933i
\(499\) 36.1272 + 99.2586i 0.0723992 + 0.198915i 0.970614 0.240642i \(-0.0773578\pi\)
−0.898215 + 0.439557i \(0.855136\pi\)
\(500\) −310.013 443.032i −0.620026 0.886065i
\(501\) 63.4767 + 13.5576i 0.126700 + 0.0270610i
\(502\) −24.8803 12.9567i −0.0495623 0.0258101i
\(503\) −417.548 241.072i −0.830116 0.479268i 0.0237762 0.999717i \(-0.492431\pi\)
−0.853892 + 0.520449i \(0.825764\pi\)
\(504\) 495.406 + 524.588i 0.982948 + 1.04085i
\(505\) 114.642 + 198.566i 0.227015 + 0.393201i
\(506\) 751.924 32.7147i 1.48602 0.0646535i
\(507\) −240.858 + 187.798i −0.475065 + 0.370411i
\(508\) 32.9514 + 377.967i 0.0648650 + 0.744029i
\(509\) −466.979 391.842i −0.917443 0.769826i 0.0560770 0.998426i \(-0.482141\pi\)
−0.973520 + 0.228600i \(0.926585\pi\)
\(510\) 115.070 682.868i 0.225627 1.33896i
\(511\) 344.567 946.690i 0.674299 1.85262i
\(512\) 473.295 195.283i 0.924405 0.381413i
\(513\) −292.708 + 129.290i −0.570580 + 0.252027i
\(514\) 269.253 + 206.670i 0.523839 + 0.402083i
\(515\) 64.7845 177.994i 0.125795 0.345619i
\(516\) 90.6797 295.240i 0.175736 0.572170i
\(517\) −260.999 219.004i −0.504833 0.423605i
\(518\) −546.849 596.964i −1.05569 1.15244i
\(519\) −48.5644 348.034i −0.0935730 0.670585i
\(520\) 85.6708 + 272.148i 0.164752 + 0.523361i
\(521\) −96.1278 166.498i −0.184506 0.319575i 0.758904 0.651203i \(-0.225735\pi\)
−0.943410 + 0.331628i \(0.892402\pi\)
\(522\) 81.2955 + 551.952i 0.155739 + 1.05738i
\(523\) −261.108 150.751i −0.499250 0.288242i 0.229154 0.973390i \(-0.426404\pi\)
−0.728404 + 0.685148i \(0.759738\pi\)
\(524\) 19.0943 + 40.9806i 0.0364396 + 0.0782073i
\(525\) 56.2272 + 173.630i 0.107100 + 0.330723i
\(526\) −195.345 + 619.225i −0.371378 + 1.17723i
\(527\) 182.449 + 501.276i 0.346204 + 0.951188i
\(528\) 600.102 + 542.068i 1.13656 + 1.02664i
\(529\) 5.22135 + 29.6117i 0.00987022 + 0.0559768i
\(530\) 375.492 155.467i 0.708475 0.293333i
\(531\) −322.862 81.1726i −0.608027 0.152867i
\(532\) 336.030 335.825i 0.631635 0.631250i
\(533\) −227.976 + 191.295i −0.427723 + 0.358902i
\(534\) −222.675 + 392.537i −0.416995 + 0.735088i
\(535\) −302.353 53.3130i −0.565146 0.0996504i
\(536\) −280.055 538.583i −0.522490 1.00482i
\(537\) 51.0843 + 31.9908i 0.0951291 + 0.0595733i
\(538\) 301.982 + 474.176i 0.561304 + 0.881368i
\(539\) 866.433i 1.60748i
\(540\) −353.623 309.425i −0.654857 0.573008i
\(541\) −53.7516 −0.0993561 −0.0496780 0.998765i \(-0.515820\pi\)
−0.0496780 + 0.998765i \(0.515820\pi\)
\(542\) 457.030 291.062i 0.843228 0.537014i
\(543\) 271.671 + 512.151i 0.500314 + 0.943188i
\(544\) 573.018 + 626.299i 1.05334 + 1.15128i
\(545\) 67.4844 382.723i 0.123825 0.702244i
\(546\) −3.74176 492.868i −0.00685304 0.902688i
\(547\) 309.469 + 368.810i 0.565756 + 0.674242i 0.970754 0.240076i \(-0.0771723\pi\)
−0.404998 + 0.914318i \(0.632728\pi\)
\(548\) −444.101 + 443.830i −0.810403 + 0.809908i
\(549\) 464.015 335.736i 0.845200 0.611540i
\(550\) 78.2482 + 188.990i 0.142269 + 0.343617i
\(551\) 361.754 63.7870i 0.656541 0.115766i
\(552\) 304.277 441.362i 0.551226 0.799569i
\(553\) 820.156 298.512i 1.48310 0.539806i
\(554\) −201.677 63.6225i −0.364039 0.114842i
\(555\) 391.451 + 353.161i 0.705317 + 0.636326i
\(556\) −297.506 638.513i −0.535083 1.14840i
\(557\) 220.981 382.751i 0.396735 0.687165i −0.596586 0.802549i \(-0.703477\pi\)
0.993321 + 0.115384i \(0.0368100\pi\)
\(558\) 354.545 + 72.9150i 0.635385 + 0.130672i
\(559\) −182.710 + 105.488i −0.326852 + 0.188708i
\(560\) 655.398 + 238.999i 1.17035 + 0.426784i
\(561\) −503.480 + 1242.64i −0.897469 + 2.21505i
\(562\) 125.006 114.512i 0.222431 0.203758i
\(563\) 539.434 642.872i 0.958142 1.14187i −0.0316719 0.999498i \(-0.510083\pi\)
0.989813 0.142370i \(-0.0454724\pi\)
\(564\) −236.529 + 54.2862i −0.419377 + 0.0962521i
\(565\) −322.808 117.492i −0.571341 0.207951i
\(566\) −392.741 + 511.668i −0.693889 + 0.904008i
\(567\) 427.444 + 690.073i 0.753870 + 1.21706i
\(568\) 149.061 + 61.8232i 0.262432 + 0.108844i
\(569\) 1001.95 + 364.680i 1.76090 + 0.640914i 0.999969 0.00792419i \(-0.00252237\pi\)
0.760927 + 0.648838i \(0.224745\pi\)
\(570\) −197.061 + 238.502i −0.345721 + 0.418424i
\(571\) 421.903 502.804i 0.738884 0.880567i −0.257435 0.966296i \(-0.582877\pi\)
0.996319 + 0.0857285i \(0.0273218\pi\)
\(572\) −47.9772 550.319i −0.0838763 0.962095i
\(573\) −288.603 + 712.302i −0.503670 + 1.24311i
\(574\) 31.6291 + 726.974i 0.0551030 + 1.26650i
\(575\) 117.431 67.7987i 0.204227 0.117911i
\(576\) 565.732 108.277i 0.982173 0.187980i
\(577\) −117.795 + 204.027i −0.204151 + 0.353600i −0.949862 0.312670i \(-0.898777\pi\)
0.745711 + 0.666270i \(0.232110\pi\)
\(578\) −383.097 + 735.647i −0.662797 + 1.27275i
\(579\) −631.305 569.553i −1.09034 0.983684i
\(580\) 309.257 + 441.952i 0.533202 + 0.761987i
\(581\) −694.498 + 252.777i −1.19535 + 0.435072i
\(582\) 331.755 282.695i 0.570026 0.485731i
\(583\) −774.898 + 136.635i −1.32916 + 0.234366i
\(584\) −489.296 638.269i −0.837836 1.09293i
\(585\) 32.9242 + 319.285i 0.0562806 + 0.545786i
\(586\) 53.8423 408.490i 0.0918810 0.697083i
\(587\) −294.660 351.162i −0.501976 0.598232i 0.454245 0.890877i \(-0.349909\pi\)
−0.956221 + 0.292645i \(0.905465\pi\)
\(588\) −492.389 372.037i −0.837397 0.632716i
\(589\) 41.3844 234.703i 0.0702622 0.398477i
\(590\) −314.253 + 69.6178i −0.532632 + 0.117996i
\(591\) 399.313 + 752.781i 0.675657 + 1.27374i
\(592\) −636.527 + 111.836i −1.07521 + 0.188912i
\(593\) 530.547 0.894683 0.447342 0.894363i \(-0.352371\pi\)
0.447342 + 0.894363i \(0.352371\pi\)
\(594\) 538.878 + 732.993i 0.907202 + 1.23399i
\(595\) 1156.63i 1.94391i
\(596\) 34.4531 392.420i 0.0578071 0.658422i
\(597\) 348.353 + 218.151i 0.583507 + 0.365413i
\(598\) −357.529 + 79.2049i −0.597874 + 0.132450i
\(599\) −367.257 64.7574i −0.613118 0.108109i −0.141538 0.989933i \(-0.545205\pi\)
−0.471579 + 0.881824i \(0.656316\pi\)
\(600\) 141.001 + 36.6820i 0.235001 + 0.0611367i
\(601\) −335.573 + 281.579i −0.558358 + 0.468518i −0.877759 0.479102i \(-0.840962\pi\)
0.319402 + 0.947619i \(0.396518\pi\)
\(602\) −67.4105 + 511.430i −0.111978 + 0.849551i
\(603\) −186.949 656.837i −0.310032 1.08928i
\(604\) −0.809874 + 3.01880i −0.00134085 + 0.00499801i
\(605\) 123.024 + 697.706i 0.203346 + 1.15323i
\(606\) −297.940 105.887i −0.491651 0.174731i
\(607\) 56.8614 + 156.226i 0.0936762 + 0.257373i 0.977677 0.210111i \(-0.0673826\pi\)
−0.884001 + 0.467484i \(0.845160\pi\)
\(608\) −81.8014 370.320i −0.134542 0.609080i
\(609\) −287.082 886.509i −0.471399 1.45568i
\(610\) 255.767 491.141i 0.419290 0.805149i
\(611\) 143.564 + 82.8865i 0.234965 + 0.135657i
\(612\) 489.998 + 819.702i 0.800650 + 1.33938i
\(613\) −95.7272 165.804i −0.156162 0.270480i 0.777320 0.629106i \(-0.216579\pi\)
−0.933481 + 0.358626i \(0.883245\pi\)
\(614\) 19.5143 + 448.524i 0.0317823 + 0.730495i
\(615\) −65.4893 469.325i −0.106487 0.763131i
\(616\) −1138.82 726.241i −1.84873 1.17896i
\(617\) 216.274 + 181.476i 0.350526 + 0.294126i 0.801001 0.598663i \(-0.204301\pi\)
−0.450475 + 0.892789i \(0.648745\pi\)
\(618\) 91.2025 + 244.779i 0.147577 + 0.396082i
\(619\) −22.1636 + 60.8940i −0.0358055 + 0.0983748i −0.956307 0.292364i \(-0.905558\pi\)
0.920502 + 0.390739i \(0.127780\pi\)
\(620\) 338.066 90.4739i 0.545268 0.145926i
\(621\) 435.061 417.663i 0.700582 0.672566i
\(622\) 273.544 356.377i 0.439781 0.572953i
\(623\) 257.805 708.313i 0.413812 1.13694i
\(624\) −333.344 209.036i −0.534205 0.334993i
\(625\) −334.289 280.502i −0.534862 0.448803i
\(626\) −589.308 + 539.835i −0.941386 + 0.862357i
\(627\) 472.382 368.319i 0.753401 0.587430i
\(628\) −582.798 408.345i −0.928023 0.650231i
\(629\) −535.754 927.954i −0.851756 1.47528i
\(630\) 668.297 + 411.482i 1.06079 + 0.653146i
\(631\) 310.209 + 179.099i 0.491615 + 0.283834i 0.725244 0.688492i \(-0.241727\pi\)
−0.233629 + 0.972326i \(0.575060\pi\)
\(632\) 151.115 680.159i 0.239105 1.07620i
\(633\) −541.782 115.716i −0.855895 0.182805i
\(634\) −29.4469 9.28951i −0.0464462 0.0146522i
\(635\) 141.143 + 387.786i 0.222272 + 0.610686i
\(636\) −255.084 + 499.040i −0.401075 + 0.784654i
\(637\) 73.2040 + 415.161i 0.114920 + 0.651744i
\(638\) −399.515 964.932i −0.626199 1.51243i
\(639\) 150.308 + 101.814i 0.235224 + 0.159334i
\(640\) 442.182 338.548i 0.690909 0.528981i
\(641\) −575.070 + 482.541i −0.897146 + 0.752795i −0.969630 0.244575i \(-0.921352\pi\)
0.0724847 + 0.997370i \(0.476907\pi\)
\(642\) 365.053 214.475i 0.568618 0.334073i
\(643\) 899.318 + 158.574i 1.39863 + 0.246616i 0.821580 0.570093i \(-0.193093\pi\)
0.577049 + 0.816709i \(0.304204\pi\)
\(644\) −378.652 + 811.376i −0.587970 + 1.25990i
\(645\) 12.0538 335.721i 0.0186881 0.520498i
\(646\) 530.361 337.763i 0.820992 0.522853i
\(647\) 457.889i 0.707710i 0.935300 + 0.353855i \(0.115129\pi\)
−0.935300 + 0.353855i \(0.884871\pi\)
\(648\) 647.944 + 8.49752i 0.999914 + 0.0131135i
\(649\) 623.187 0.960227
\(650\) −53.4610 83.9452i −0.0822477 0.129147i
\(651\) −604.175 21.6925i −0.928073 0.0333218i
\(652\) 974.312 + 454.692i 1.49434 + 0.697380i
\(653\) 44.8800 254.527i 0.0687289 0.389781i −0.930967 0.365104i \(-0.881033\pi\)
0.999695 0.0246765i \(-0.00785556\pi\)
\(654\) 271.485 + 462.089i 0.415115 + 0.706559i
\(655\) 31.6095 + 37.6707i 0.0482587 + 0.0575125i
\(656\) 502.885 + 290.751i 0.766593 + 0.443218i
\(657\) −395.026 813.977i −0.601257 1.23893i
\(658\) 374.499 155.055i 0.569147 0.235646i
\(659\) −773.092 + 136.317i −1.17313 + 0.206854i −0.726051 0.687640i \(-0.758647\pi\)
−0.447078 + 0.894495i \(0.647535\pi\)
\(660\) 783.213 + 400.338i 1.18669 + 0.606573i
\(661\) 871.348 317.145i 1.31823 0.479795i 0.415337 0.909668i \(-0.363664\pi\)
0.902890 + 0.429872i \(0.141441\pi\)
\(662\) −167.147 + 529.840i −0.252488 + 0.800362i
\(663\) 136.258 637.964i 0.205518 0.962238i
\(664\) −127.962 + 575.950i −0.192714 + 0.867395i
\(665\) 258.368 447.507i 0.388524 0.672943i
\(666\) −726.770 20.5710i −1.09125 0.0308874i
\(667\) −599.571 + 346.162i −0.898907 + 0.518984i
\(668\) −49.6616 + 70.8780i −0.0743437 + 0.106105i
\(669\) 402.800 + 516.606i 0.602093 + 0.772206i
\(670\) −446.005 486.878i −0.665679 0.726684i
\(671\) −689.152 + 821.299i −1.02705 + 1.22399i
\(672\) −901.715 + 335.344i −1.34184 + 0.499024i
\(673\) −435.450 158.491i −0.647029 0.235499i −0.00240244 0.999997i \(-0.500765\pi\)
−0.644626 + 0.764498i \(0.722987\pi\)
\(674\) −885.811 679.921i −1.31426 1.00879i
\(675\) 147.105 + 72.2854i 0.217934 + 0.107089i
\(676\) −105.278 393.382i −0.155736 0.581926i
\(677\) 1255.40 + 456.930i 1.85436 + 0.674933i 0.982806 + 0.184642i \(0.0591126\pi\)
0.871559 + 0.490291i \(0.163110\pi\)
\(678\) 443.928 165.404i 0.654761 0.243958i
\(679\) −467.946 + 557.676i −0.689169 + 0.821320i
\(680\) 778.499 + 496.460i 1.14485 + 0.730088i
\(681\) 900.829 125.701i 1.32280 0.184583i
\(682\) −676.936 + 29.4521i −0.992575 + 0.0431848i
\(683\) 608.347 351.229i 0.890698 0.514245i 0.0165271 0.999863i \(-0.494739\pi\)
0.874171 + 0.485619i \(0.161406\pi\)
\(684\) −6.47777 426.604i −0.00947042 0.623690i
\(685\) −341.462 + 591.430i −0.498485 + 0.863402i
\(686\) 43.1641 + 22.4782i 0.0629214 + 0.0327670i
\(687\) −884.467 + 286.420i −1.28743 + 0.416915i
\(688\) 315.297 + 264.894i 0.458280 + 0.385020i
\(689\) 359.757 130.941i 0.522143 0.190045i
\(690\) 195.265 549.429i 0.282993 0.796275i
\(691\) 57.8084 10.1932i 0.0836590 0.0147513i −0.131662 0.991295i \(-0.542031\pi\)
0.215321 + 0.976543i \(0.430920\pi\)
\(692\) 452.539 + 121.406i 0.653957 + 0.175442i
\(693\) −1090.97 1057.69i −1.57427 1.52625i
\(694\) 888.701 + 117.138i 1.28055 + 0.168786i
\(695\) −492.502 586.941i −0.708636 0.844520i
\(696\) −719.913 187.289i −1.03436 0.269093i
\(697\) −167.240 + 948.463i −0.239942 + 1.36078i
\(698\) −220.715 996.300i −0.316210 1.42736i
\(699\) −69.2905 + 110.646i −0.0991280 + 0.158292i
\(700\) −242.410 21.2828i −0.346300 0.0304040i
\(701\) −50.6411 −0.0722413 −0.0361206 0.999347i \(-0.511500\pi\)
−0.0361206 + 0.999347i \(0.511500\pi\)
\(702\) −320.139 305.692i −0.456039 0.435459i
\(703\) 478.709i 0.680951i
\(704\) −977.632 + 454.787i −1.38868 + 0.646004i
\(705\) −233.185 + 123.693i −0.330759 + 0.175451i
\(706\) 89.6889 + 404.853i 0.127038 + 0.573447i
\(707\) 520.099 + 91.7074i 0.735641 + 0.129713i
\(708\) 267.590 354.154i 0.377952 0.500218i
\(709\) −541.957 + 454.756i −0.764397 + 0.641405i −0.939267 0.343186i \(-0.888494\pi\)
0.174870 + 0.984591i \(0.444049\pi\)
\(710\) 174.020 + 22.9373i 0.245099 + 0.0323060i
\(711\) 320.221 715.443i 0.450381 1.00625i
\(712\) −366.091 477.552i −0.514173 0.670719i
\(713\) 77.9982 + 442.350i 0.109394 + 0.620406i
\(714\) −1034.53 1214.07i −1.44892 1.70037i
\(715\) −205.503 564.615i −0.287417 0.789672i
\(716\) −65.8461 + 46.0760i −0.0919639 + 0.0643519i
\(717\) 669.541 742.134i 0.933809 1.03505i
\(718\) 108.272 + 56.3836i 0.150796 + 0.0785287i
\(719\) 1042.00 + 601.598i 1.44923 + 0.836715i 0.998436 0.0559107i \(-0.0178062\pi\)
0.450798 + 0.892626i \(0.351140\pi\)
\(720\) 563.813 273.195i 0.783073 0.379437i
\(721\) −218.147 377.841i −0.302561 0.524051i
\(722\) 440.668 19.1725i 0.610343 0.0265548i
\(723\) 964.358 + 390.728i 1.33383 + 0.540426i
\(724\) −770.072 + 67.1355i −1.06364 + 0.0927286i
\(725\) −144.136 120.945i −0.198809 0.166821i
\(726\) −753.187 622.317i −1.03745 0.857186i
\(727\) 74.9737 205.989i 0.103128 0.283341i −0.877388 0.479781i \(-0.840716\pi\)
0.980516 + 0.196441i \(0.0629383\pi\)
\(728\) 607.036 + 251.769i 0.833841 + 0.345836i
\(729\) 712.164 + 155.767i 0.976905 + 0.213673i
\(730\) −693.919 532.631i −0.950574 0.729632i
\(731\) −233.516 + 641.581i −0.319448 + 0.877676i
\(732\) 170.826 + 744.298i 0.233368 + 1.01680i
\(733\) 18.6768 + 15.6717i 0.0254799 + 0.0213802i 0.655439 0.755248i \(-0.272484\pi\)
−0.629959 + 0.776629i \(0.716928\pi\)
\(734\) 354.465 + 386.949i 0.482922 + 0.527179i
\(735\) −622.134 252.069i −0.846440 0.342952i
\(736\) 383.589 + 603.130i 0.521180 + 0.819470i
\(737\) 639.196 + 1107.12i 0.867295 + 1.50220i
\(738\) 488.523 + 434.056i 0.661955 + 0.588152i
\(739\) −223.668 129.135i −0.302664 0.174743i 0.340975 0.940072i \(-0.389243\pi\)
−0.643639 + 0.765329i \(0.722576\pi\)
\(740\) −637.184 + 296.887i −0.861059 + 0.401198i
\(741\) −195.228 + 216.395i −0.263466 + 0.292031i
\(742\) 281.623 892.720i 0.379546 1.20313i
\(743\) −118.080 324.422i −0.158923 0.436638i 0.834518 0.550980i \(-0.185746\pi\)
−0.993441 + 0.114342i \(0.963524\pi\)
\(744\) −273.932 + 397.345i −0.368188 + 0.534066i
\(745\) −74.4041 421.967i −0.0998713 0.566398i
\(746\) 1023.38 423.713i 1.37182 0.567980i
\(747\) −271.159 + 605.828i −0.362998 + 0.811015i
\(748\) −1263.70 1264.47i −1.68944 1.69047i
\(749\) −541.721 + 454.558i −0.723259 + 0.606886i
\(750\) 811.067 6.15747i 1.08142 0.00820995i
\(751\) 461.870 + 81.4402i 0.615007 + 0.108442i 0.472470 0.881347i \(-0.343363\pi\)
0.142538 + 0.989789i \(0.454474\pi\)
\(752\) 56.3822 318.621i 0.0749763 0.423698i
\(753\) 37.1718 19.7178i 0.0493649 0.0261856i
\(754\) 272.958 + 428.603i 0.362013 + 0.568439i
\(755\) 3.39966i 0.00450285i
\(756\) −1069.53 + 165.833i −1.41472 + 0.219356i
\(757\) −653.653