Properties

Label 108.3.j.a.7.12
Level 108
Weight 3
Character 108.7
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 7.12
Character \(\chi\) \(=\) 108.7
Dual form 108.3.j.a.31.12

$q$-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 \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(55\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\) \(-1\)

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 −0.962264 0.272118i \(-0.912276\pi\)
0.811162 0.584821i \(-0.198835\pi\)
\(6\) −3.03936 + 5.17323i −0.506560 + 0.862205i
\(7\) 6.44162 7.67682i 0.920232 1.09669i −0.0748069 0.997198i \(-0.523834\pi\)
0.995038 0.0994912i \(-0.0317215\pi\)
\(8\) 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 −0.642489 0.766295i \(-0.722098\pi\)
−0.865830 + 0.500338i \(0.833209\pi\)
\(12\) −5.46165 10.6851i −0.455137 0.890421i
\(13\) 7.70282 + 2.80360i 0.592525 + 0.215661i 0.620840 0.783938i \(-0.286792\pi\)
−0.0283148 + 0.999599i \(0.509014\pi\)
\(14\) 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 0.931812 + 0.362941i \(0.118227\pi\)
−0.151590 + 0.988443i \(0.548439\pi\)
\(18\) −8.55535 + 15.8369i −0.475297 + 0.879825i
\(19\) −10.2637 5.92574i −0.540194 0.311881i 0.204964 0.978770i \(-0.434292\pi\)
−0.745158 + 0.666888i \(0.767626\pi\)
\(20\) −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 0.981795 0.189942i \(-0.0608299\pi\)
−0.357543 + 0.933897i \(0.616385\pi\)
\(24\) 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 −0.791254 0.611488i \(-0.790571\pi\)
−0.213078 + 0.977035i \(0.568349\pi\)
\(30\) 24.4620 + 9.11432i 0.815399 + 0.303811i
\(31\) −12.9259 15.4045i −0.416965 0.496920i 0.516150 0.856498i \(-0.327365\pi\)
−0.933115 + 0.359579i \(0.882920\pi\)
\(32\) −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 0.998553 + 0.0537690i \(0.0171235\pi\)
−0.452711 + 0.891657i \(0.649543\pi\)
\(38\) 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 −0.109377 0.994000i \(-0.534886\pi\)
−0.722719 + 0.691142i \(0.757108\pi\)
\(42\) 20.1356 + 56.6566i 0.479418 + 1.34897i
\(43\) −25.3466 4.46929i −0.589456 0.103937i −0.129039 0.991640i \(-0.541189\pi\)
−0.460417 + 0.887703i \(0.652300\pi\)
\(44\) 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 −0.609817 0.792543i \(-0.708757\pi\)
0.886396 + 0.462928i \(0.153201\pi\)
\(48\) −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 −0.473608 0.880736i \(-0.657049\pi\)
−0.143817 + 0.989604i \(0.545938\pi\)
\(60\) −41.6559 + 31.4742i −0.694265 + 0.524569i
\(61\) 48.7491 + 40.9054i 0.799166 + 0.670580i 0.947996 0.318283i \(-0.103106\pi\)
−0.148830 + 0.988863i \(0.547551\pi\)
\(62\) 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 0.580835 + 0.814021i \(0.302726\pi\)
−0.968188 + 0.250223i \(0.919496\pi\)
\(68\) 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 −0.371907 0.928270i \(-0.621296\pi\)
0.617952 + 0.786216i \(0.287963\pi\)
\(72\) 71.8761 + 4.22137i 0.998280 + 0.0586302i
\(73\) −50.2648 + 87.0613i −0.688560 + 1.19262i 0.283744 + 0.958900i \(0.408423\pi\)
−0.972304 + 0.233720i \(0.924910\pi\)
\(74\) −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 0.972570 + 0.232611i \(0.0747269\pi\)
−0.595512 + 0.803346i \(0.703051\pi\)
\(80\) 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 −0.993813 0.111067i \(-0.964573\pi\)
0.689912 0.723893i \(1.74235\pi\)
\(84\) −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 −0.996189 0.0872163i \(-0.972203\pi\)
0.573626 + 0.819117i \(0.305536\pi\)
\(90\) 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 −0.848135 0.529780i \(-0.822274\pi\)
0.978182 0.207751i \(-0.0666144\pi\)
\(98\) 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 0.820379 0.571820i \(-0.193762\pi\)
−0.420675 + 0.907211i \(0.638207\pi\)
\(102\) −159.161 1.20832i −1.56040 0.0118462i
\(103\) −42.8748 + 7.55998i −0.416260 + 0.0733979i −0.377856 0.925864i \(-0.623339\pi\)
−0.0384042 + 0.999262i \(0.512227\pi\)
\(104\) 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 \(-0.893037\pi\)
0.944069 0.329747i \(-0.106963\pi\)
\(108\) −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 −0.983418 0.181353i \(-0.941952\pi\)
0.862084 0.506765i \(-0.169159\pi\)
\(114\) 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 0.787226 0.616665i \(-0.211517\pi\)
−0.140434 + 0.990090i \(0.544850\pi\)
\(128\) −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 0.793061 0.609142i \(-0.208486\pi\)
−0.737601 + 0.675236i \(0.764042\pi\)
\(132\) 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 0.257982 0.966150i \(-0.416942\pi\)
0.818655 + 0.574286i \(0.194720\pi\)
\(138\) −132.157 + 22.2698i −0.957663 + 0.161375i
\(139\) −113.198 134.904i −0.814376 0.970535i 0.185551 0.982635i \(-0.440593\pi\)
−0.999927 + 0.0120996i \(0.996148\pi\)
\(140\) −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 0.0122562 0.999925i \(-0.496099\pi\)
−0.633351 + 0.773865i \(0.718321\pi\)
\(150\) −6.59701 + 35.8211i −0.0439800 + 0.238807i
\(151\) 0.769516 + 0.135686i 0.00509613 + 0.000898586i 0.176196 0.984355i \(-0.443621\pi\)
−0.171100 + 0.985254i \(0.554732\pi\)
\(152\) −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 −0.909876 0.414879i \(-0.863824\pi\)
0.713107 0.701055i \(-0.247287\pi\)
\(158\) −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 \(0.308561\pi\)
−0.565818 + 0.824530i \(0.691439\pi\)
\(164\) 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 −0.109489 0.993988i \(-0.534921\pi\)
0.237078 + 0.971491i \(0.423810\pi\)
\(168\) 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 0.867869 + 0.496792i \(0.165489\pi\)
−0.985443 + 0.170003i \(0.945622\pi\)
\(174\) 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 −0.450609 0.892721i \(-0.648793\pi\)
0.547815 + 0.836600i \(0.315460\pi\)
\(180\) −121.499 + 98.8456i −0.674996 + 0.549142i
\(181\) 96.6241 167.358i 0.533835 0.924629i −0.465384 0.885109i \(-0.654084\pi\)
0.999219 0.0395201i \(-0.0125829\pi\)
\(182\) −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 −0.926423 0.376484i \(-0.877133\pi\)
0.467682 0.883897i \(1.65491\pi\)
\(192\) 187.161 + 42.8353i 0.974795 + 0.223101i
\(193\) −217.111 + 182.178i −1.12493 + 0.943928i −0.998843 0.0480909i \(-0.984686\pi\)
−0.126087 + 0.992019i \(0.540242\pi\)
\(194\) 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 −0.239705 0.970846i \(-0.577051\pi\)
0.960630 0.277832i \(-0.0896160\pi\)
\(198\) 188.277 237.728i 0.950895 1.20065i
\(199\) 118.652 68.5039i 0.596242 0.344241i −0.171320 0.985216i \(-0.554803\pi\)
0.767562 + 0.640975i \(0.221470\pi\)
\(200\) 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 −0.587091 0.809521i \(-0.699727\pi\)
−0.274813 + 0.961498i \(0.588616\pi\)
\(212\) −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 −0.353245 0.935531i \(-0.614922\pi\)
0.982658 + 0.185426i \(0.0593664\pi\)
\(224\) −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 0.786916 0.617060i \(-0.211676\pi\)
0.528412 + 0.848988i \(0.322788\pi\)
\(228\) −7.26021 + 142.032i −0.0318430 + 0.622949i
\(229\) −291.207 105.991i −1.27164 0.462841i −0.383985 0.923340i \(-0.625448\pi\)
−0.887660 + 0.460499i \(0.847671\pi\)
\(230\) 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 0.815549 0.578688i \(-0.196435\pi\)
−0.908933 + 0.416942i \(0.863102\pi\)
\(234\) −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 0.997329 + 0.0730337i \(0.0232681\pi\)
−0.101260 + 0.994860i \(0.532287\pi\)
\(240\) 184.549 + 97.7497i 0.768955 + 0.407290i
\(241\) 325.919 118.625i 1.35236 0.492219i 0.438677 0.898645i \(-0.355447\pi\)
0.913684 + 0.406426i \(0.133225\pi\)
\(242\) −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 0.524002 0.851717i \(-0.324439\pi\)
−0.475608 + 0.879657i \(0.657772\pi\)
\(252\) −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 0.0125705 0.999921i \(-0.495999\pi\)
−0.633107 + 0.774064i \(0.718221\pi\)
\(258\) 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 −0.999458 0.0329313i \(-0.989516\pi\)
0.205985 + 0.978555i \(0.433960\pi\)
\(264\) −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 \(-0.833387\pi\)
0.866109 0.499855i \(-0.166613\pi\)
\(272\) −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 0.777180 0.629279i \(-0.216650\pi\)
−0.484763 + 0.874646i \(0.661094\pi\)
\(278\) 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 −0.947351 0.320196i \(-0.896251\pi\)
0.999733 + 0.0231277i \(0.00736245\pi\)
\(282\) 40.6336 + 114.333i 0.144091 + 0.405437i
\(283\) −110.305 + 303.060i −0.389770 + 1.07088i 0.577336 + 0.816507i \(0.304092\pi\)
−0.967105 + 0.254376i \(0.918130\pi\)
\(284\) −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 −0.332449 0.943121i \(-0.607875\pi\)
0.871064 + 0.491170i \(0.163430\pi\)
\(294\) 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 −0.782000 0.623278i \(-0.785800\pi\)
0.148775 + 0.988871i \(0.452467\pi\)
\(308\) 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 −0.752759 0.658297i \(-0.771277\pi\)
0.999791 0.0204207i \(-0.00650055\pi\)
\(312\) 177.689 + 84.4395i 0.569517 + 0.270639i
\(313\) −69.3890 + 393.525i −0.221690 + 1.25727i 0.647222 + 0.762301i \(0.275931\pi\)
−0.868912 + 0.494966i \(0.835181\pi\)
\(314\) 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 0.661251 0.750165i \(-0.270026\pi\)
−0.623943 + 0.781470i \(0.714470\pi\)
\(318\) −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 −0.965065 0.262009i \(-0.915615\pi\)
0.425610 + 0.904907i \(0.360059\pi\)
\(332\) −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 0.970015 0.243043i \(-0.0781457\pi\)
0.586850 + 0.809696i \(0.300368\pi\)
\(338\) 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 −0.999992 0.00395526i \(-0.998741\pi\)
0.169752 0.985487i \(1.55430\pi\)
\(348\) 272.345 + 253.311i 0.782600 + 0.727904i
\(349\) 479.457 174.508i 1.37380 0.500023i 0.453509 0.891252i \(-0.350172\pi\)
0.920294 + 0.391228i \(0.127950\pi\)
\(350\) 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 −0.602903 0.797814i \(-0.705989\pi\)
0.0509748 + 0.998700i \(0.483767\pi\)
\(354\) 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 0.424570 0.905395i \(-0.360425\pi\)
−0.571810 + 0.820386i \(0.693759\pi\)
\(360\) −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 −0.189862 0.981811i \(-0.560804\pi\)
−0.514211 + 0.857664i \(0.671915\pi\)
\(368\) −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 −0.788717 0.614756i \(-0.789254\pi\)
0.530893 0.847439i \(-0.321857\pi\)
\(374\) 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 \(0.0260107\pi\)
−0.996663 + 0.0816243i \(0.973989\pi\)
\(380\) 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 0.312034 0.950071i \(-0.398990\pi\)
0.618159 + 0.786053i \(0.287879\pi\)
\(384\) −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 0.842233 + 0.539113i \(0.181241\pi\)
−0.975828 + 0.218540i \(0.929871\pi\)
\(390\) 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 −0.503567 0.863956i \(-0.667979\pi\)
0.999991 + 0.00412318i \(0.00131245\pi\)
\(398\) −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 −0.683654 0.729806i \(-0.739610\pi\)
0.600004 + 0.799997i \(0.295166\pi\)
\(402\) −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 −0.942646 0.333793i \(-0.891671\pi\)
0.165033 + 0.986288i \(0.447227\pi\)
\(410\) −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 −0.911065 0.412264i \(-0.864738\pi\)
0.962914 + 0.269809i \(0.0869605\pi\)
\(420\) −26.7099 + 522.530i −0.0635951 + 1.24412i
\(421\) 108.764 616.830i 0.258346 1.46515i −0.528989 0.848629i \(-0.677429\pi\)
0.787335 0.616525i \(-0.211460\pi\)
\(422\) 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 \(-0.952914\pi\)
0.989079 0.147388i \(-0.0470865\pi\)
\(432\) −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 −0.982988 0.183672i \(-0.941202\pi\)
0.351576 + 0.936159i \(0.385646\pi\)
\(440\) −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 −0.794145 0.607729i \(-0.792081\pi\)
−0.954107 + 0.299465i \(0.903192\pi\)
\(444\) 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 −0.998895 0.0469939i \(-0.985036\pi\)
0.458750 0.888566i \(-0.348297\pi\)
\(450\) −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 −0.780332 + 0.625365i \(0.784950\pi\)
−0.999746 + 0.0225304i \(0.992828\pi\)
\(458\) 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 −0.932464 0.361263i \(-0.882346\pi\)
−0.482094 + 0.876120i \(0.660124\pi\)
\(462\) −168.329 998.926i −0.364348 2.16218i
\(463\) −438.512 522.598i −0.947111 1.12872i −0.991552 0.129710i \(-0.958595\pi\)
0.0444414 0.999012i \(1.51415\pi\)
\(464\) 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 0.854301 0.519779i \(-0.173986\pi\)
−0.0229910 + 0.999736i \(0.507319\pi\)
\(468\) −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 −0.998572 0.0534168i \(-0.982989\pi\)
0.226006 + 0.974126i \(0.427433\pi\)
\(480\) −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 \(-0.963982\pi\)
0.993605 0.112912i \(-0.0360178\pi\)
\(488\) 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 −0.549381 0.835572i \(-0.685137\pi\)
−0.230467 + 0.973080i \(0.574025\pi\)
\(492\) 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 −0.898215 0.439557i \(-0.855136\pi\)
0.970614 + 0.240642i \(0.0773578\pi\)
\(500\) −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 −0.853892 0.520449i \(-0.825764\pi\)
0.0237762 + 0.999717i \(0.492431\pi\)
\(504\) 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 −0.973520 0.228600i \(-0.926585\pi\)
0.0560770 + 0.998426i \(0.482141\pi\)
\(510\) 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 −0.943410 0.331628i \(-0.892402\pi\)
0.758904 + 0.651203i \(0.225735\pi\)
\(522\) 81.2955 551.952i 0.155739 1.05738i
\(523\) −261.108 + 150.751i −0.499250 + 0.288242i −0.728404 0.685148i \(-0.759738\pi\)
0.229154 + 0.973390i \(0.426404\pi\)
\(524\) 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 −0.404998 0.914318i \(-0.632728\pi\)
0.970754 + 0.240076i \(0.0771723\pi\)
\(548\) −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 0.993321 0.115384i \(-0.0368100\pi\)
−0.596586 + 0.802549i \(0.703477\pi\)
\(558\) 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 0.989813 + 0.142370i \(0.0454724\pi\)
−0.0316719 + 0.999498i \(0.510083\pi\)
\(564\) −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 0.760927 0.648838i \(-0.224745\pi\)
0.999969 + 0.00792419i \(0.00252237\pi\)
\(570\) −197.061 238.502i −0.345721 0.418424i
\(571\) 421.903 + 502.804i 0.738884 + 0.880567i 0.996319 0.0857285i \(-0.0273218\pi\)
−0.257435 + 0.966296i \(0.582877\pi\)
\(572\) −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 0.745711 0.666270i \(-0.232110\pi\)
−0.949862 + 0.312670i \(0.898777\pi\)
\(578\) −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 −0.956221 0.292645i \(-0.905465\pi\)
0.454245 + 0.890877i \(0.349909\pi\)
\(588\) −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 −0.471579 0.881824i \(-0.656316\pi\)
−0.141538 + 0.989933i \(0.545205\pi\)
\(600\) 141.001 36.6820i 0.235001 0.0611367i
\(601\) −335.573 281.579i −0.558358 0.468518i 0.319402 0.947619i \(-0.396518\pi\)
−0.877759 + 0.479102i \(0.840962\pi\)
\(602\) −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 −0.884001 0.467484i \(-0.845160\pi\)
0.977677 + 0.210111i \(0.0673826\pi\)
\(608\) −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 −0.933481 0.358626i \(-0.883245\pi\)
0.777320 + 0.629106i \(0.216579\pi\)
\(614\) 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 −0.450475 0.892789i \(-0.648745\pi\)
0.801001 + 0.598663i \(0.204301\pi\)
\(618\) 91.2025 244.779i 0.147577 0.396082i
\(619\) −22.1636 60.8940i −0.0358055 0.0983748i 0.920502 0.390739i \(-0.127780\pi\)
−0.956307 + 0.292364i \(0.905558\pi\)
\(620\) 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 −0.233629 0.972326i \(-0.575060\pi\)
0.725244 + 0.688492i \(0.241727\pi\)
\(632\) 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 0.0724847 0.997370i \(-0.476907\pi\)
−0.969630 + 0.244575i \(0.921352\pi\)
\(642\) 365.053 + 214.475i 0.568618 + 0.334073i
\(643\) 899.318 158.574i 1.39863 0.246616i 0.577049 0.816709i \(-0.304204\pi\)
0.821580 + 0.570093i \(0.193093\pi\)
\(644\) −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 \(-0.884871\pi\)
0.935300 0.353855i \(-0.115129\pi\)
\(648\) 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 0.999695 + 0.0246765i \(0.00785556\pi\)
−0.930967 + 0.365104i \(0.881033\pi\)
\(654\) 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 −0.447078 0.894495i \(-0.647535\pi\)
−0.726051 + 0.687640i \(0.758647\pi\)
\(660\) 783.213 400.338i 1.18669 0.606573i
\(661\) 871.348 + 317.145i 1.31823 + 0.479795i 0.902890 0.429872i \(-0.141441\pi\)
0.415337 + 0.909668i \(0.363664\pi\)
\(662\) −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 −0.644626 0.764498i \(-0.722987\pi\)
−0.00240244 + 0.999997i \(0.500765\pi\)
\(674\) −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 0.871559 0.490291i \(-0.163110\pi\)
0.982806 0.184642i \(-0.0591126\pi\)
\(678\) 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 0.874171 0.485619i \(-0.161406\pi\)
0.0165271 + 0.999863i \(0.494739\pi\)
\(684\) −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 0.215321 0.976543i \(-0.430920\pi\)
−0.131662 + 0.991295i \(0.542031\pi\)
\(692\) 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 0.174870 0.984591i \(-0.444049\pi\)
−0.939267 + 0.343186i \(0.888494\pi\)
\(710\) 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 0.450798 0.892626i \(-0.351140\pi\)
0.998436 + 0.0559107i \(0.0178062\pi\)
\(720\) 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 0.980516 0.196441i \(-0.0629383\pi\)
−0.877388 + 0.479781i \(0.840716\pi\)
\(728\) 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 −0.629959 0.776629i \(-0.716928\pi\)
0.655439 + 0.755248i \(0.272484\pi\)
\(734\) 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 −0.643639 0.765329i \(-0.722576\pi\)
0.340975 + 0.940072i \(0.389243\pi\)
\(740\) −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 −0.993441 0.114342i \(-0.963524\pi\)
0.834518 + 0.550980i \(0.185746\pi\)
\(744\) −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 0.142538 0.989789i \(-0.454474\pi\)
0.472470 + 0.881347i \(0.343363\pi\)
\(752\) 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