Properties

Label 177.3.g.a.10.10
Level $177$
Weight $3$
Character 177.10
Analytic conductor $4.823$
Analytic rank $0$
Dimension $560$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 177.g (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.82290067918\)
Analytic rank: \(0\)
Dimension: \(560\)
Relative dimension: \(20\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 10.10
Character \(\chi\) \(=\) 177.10
Dual form 177.3.g.a.124.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0935508 + 0.0372741i) q^{2} +(1.72190 + 0.187268i) q^{3} +(-2.89662 - 2.74382i) q^{4} +(-5.55524 + 6.54013i) q^{5} +(0.154105 + 0.0817011i) q^{6} +(5.52684 + 3.32539i) q^{7} +(-0.337844 - 0.730238i) q^{8} +(2.92986 + 0.644911i) q^{9} +O(q^{10})\) \(q+(0.0935508 + 0.0372741i) q^{2} +(1.72190 + 0.187268i) q^{3} +(-2.89662 - 2.74382i) q^{4} +(-5.55524 + 6.54013i) q^{5} +(0.154105 + 0.0817011i) q^{6} +(5.52684 + 3.32539i) q^{7} +(-0.337844 - 0.730238i) q^{8} +(2.92986 + 0.644911i) q^{9} +(-0.763474 + 0.404768i) q^{10} +(-21.1839 - 1.14856i) q^{11} +(-4.47385 - 5.26703i) q^{12} +(2.95937 + 13.4445i) q^{13} +(0.393090 + 0.517101i) q^{14} +(-10.7903 + 10.2211i) q^{15} +(0.859640 + 15.8551i) q^{16} +(-7.74117 + 4.65771i) q^{17} +(0.250052 + 0.169540i) q^{18} +(-3.57727 + 12.8842i) q^{19} +(34.0364 - 3.70168i) q^{20} +(8.89392 + 6.76098i) q^{21} +(-1.93896 - 0.897059i) q^{22} +(-1.14011 + 0.773015i) q^{23} +(-0.444983 - 1.32066i) q^{24} +(-7.86809 - 47.9932i) q^{25} +(-0.224281 + 1.36805i) q^{26} +(4.92415 + 1.65914i) q^{27} +(-6.88487 - 24.7971i) q^{28} +(6.28124 + 15.7647i) q^{29} +(-1.39042 + 0.553995i) q^{30} +(50.5330 - 14.0304i) q^{31} +(-1.53821 + 4.56524i) q^{32} +(-36.2614 - 5.94476i) q^{33} +(-0.897804 + 0.147188i) q^{34} +(-52.4514 + 17.6729i) q^{35} +(-6.71717 - 9.90709i) q^{36} +(1.84597 - 3.99000i) q^{37} +(-0.814902 + 1.07199i) q^{38} +(2.57800 + 23.7043i) q^{39} +(6.65266 + 1.84710i) q^{40} +(35.1720 - 51.8749i) q^{41} +(0.580024 + 0.964008i) q^{42} +(-61.8600 + 3.35395i) q^{43} +(58.2103 + 61.4518i) q^{44} +(-20.4939 + 15.5790i) q^{45} +(-0.135472 + 0.0298196i) q^{46} +(-50.9521 + 43.2791i) q^{47} +(-1.48894 + 27.4619i) q^{48} +(-3.46425 - 6.53427i) q^{49} +(1.05284 - 4.78308i) q^{50} +(-14.2017 + 6.57042i) q^{51} +(28.3173 - 47.0637i) q^{52} +(15.6302 - 29.4816i) q^{53} +(0.398815 + 0.338757i) q^{54} +(125.193 - 132.165i) q^{55} +(0.561116 - 5.15938i) q^{56} +(-8.57249 + 21.5153i) q^{57} +1.70893i q^{58} +(41.8416 - 41.5966i) q^{59} +59.3003 q^{60} +(-15.2526 - 6.07717i) q^{61} +(5.25037 + 0.571012i) q^{62} +(14.0483 + 13.3073i) q^{63} +(40.8038 - 48.0379i) q^{64} +(-104.369 - 55.3329i) q^{65} +(-3.17070 - 1.90775i) q^{66} +(38.7062 + 83.6621i) q^{67} +(35.2031 + 7.74880i) q^{68} +(-2.10792 + 1.11755i) q^{69} +(-5.56561 - 0.301759i) q^{70} +(62.3085 + 73.3553i) q^{71} +(-0.518898 - 2.35738i) q^{72} +(-0.658218 - 0.865871i) q^{73} +(0.321416 - 0.304461i) q^{74} +(-4.56047 - 84.1129i) q^{75} +(45.7139 - 27.5051i) q^{76} +(-113.261 - 76.7927i) q^{77} +(-0.642381 + 2.31365i) q^{78} +(-27.0642 + 2.94341i) q^{79} +(-108.470 - 82.4568i) q^{80} +(8.16818 + 3.77900i) q^{81} +(5.22396 - 3.54193i) q^{82} +(40.9995 + 121.682i) q^{83} +(-7.21136 - 43.9873i) q^{84} +(12.5420 - 76.5029i) q^{85} +(-5.91207 - 1.99201i) q^{86} +(7.86342 + 28.3215i) q^{87} +(6.31814 + 15.8573i) q^{88} +(-33.2357 + 13.2423i) q^{89} +(-2.49791 + 0.693542i) q^{90} +(-28.3524 + 84.1469i) q^{91} +(5.42349 + 0.889136i) q^{92} +(89.6401 - 14.6957i) q^{93} +(-6.37979 + 2.14960i) q^{94} +(-64.3916 - 94.9704i) q^{95} +(-3.50356 + 7.57282i) q^{96} +(-43.6583 + 57.4315i) q^{97} +(-0.0805247 - 0.740413i) q^{98} +(-61.3252 - 17.0269i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 560q + 40q^{4} + 8q^{7} - 60q^{9} + O(q^{10}) \) \( 560q + 40q^{4} + 8q^{7} - 60q^{9} + 24q^{12} - 24q^{15} + 8q^{16} - 16q^{17} + 60q^{19} + 164q^{20} - 40q^{22} - 100q^{25} + 156q^{26} - 200q^{28} + 60q^{29} + 32q^{35} + 120q^{36} - 28q^{41} - 1572q^{46} - 638q^{47} + 96q^{48} - 1328q^{49} - 1856q^{50} + 24q^{51} - 1392q^{52} - 572q^{53} - 522q^{55} - 928q^{56} - 24q^{57} + 268q^{59} + 72q^{60} + 348q^{61} + 472q^{62} + 24q^{63} + 2580q^{64} + 1218q^{65} + 120q^{66} + 1044q^{67} + 1936q^{68} + 2784q^{70} + 1416q^{71} + 870q^{73} + 1752q^{74} - 240q^{75} - 120q^{76} + 468q^{78} + 420q^{79} - 376q^{80} - 180q^{81} - 168q^{84} + 348q^{85} - 232q^{86} - 144q^{87} + 212q^{88} - 152q^{94} - 788q^{95} - 3306q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{7}{58}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0935508 + 0.0372741i 0.0467754 + 0.0186370i 0.393409 0.919364i \(-0.371296\pi\)
−0.346633 + 0.938001i \(0.612675\pi\)
\(3\) 1.72190 + 0.187268i 0.573966 + 0.0624225i
\(4\) −2.89662 2.74382i −0.724155 0.685956i
\(5\) −5.55524 + 6.54013i −1.11105 + 1.30803i −0.164169 + 0.986432i \(0.552494\pi\)
−0.946878 + 0.321594i \(0.895782\pi\)
\(6\) 0.154105 + 0.0817011i 0.0256841 + 0.0136169i
\(7\) 5.52684 + 3.32539i 0.789549 + 0.475056i 0.852351 0.522970i \(-0.175176\pi\)
−0.0628021 + 0.998026i \(0.520004\pi\)
\(8\) −0.337844 0.730238i −0.0422305 0.0912798i
\(9\) 2.92986 + 0.644911i 0.325540 + 0.0716568i
\(10\) −0.763474 + 0.404768i −0.0763474 + 0.0404768i
\(11\) −21.1839 1.14856i −1.92581 0.104414i −0.948572 0.316561i \(-0.897472\pi\)
−0.977238 + 0.212147i \(0.931954\pi\)
\(12\) −4.47385 5.26703i −0.372821 0.438919i
\(13\) 2.95937 + 13.4445i 0.227644 + 1.03419i 0.942313 + 0.334733i \(0.108646\pi\)
−0.714670 + 0.699462i \(0.753423\pi\)
\(14\) 0.393090 + 0.517101i 0.0280778 + 0.0369358i
\(15\) −10.7903 + 10.2211i −0.719353 + 0.681408i
\(16\) 0.859640 + 15.8551i 0.0537275 + 0.990945i
\(17\) −7.74117 + 4.65771i −0.455363 + 0.273983i −0.724702 0.689063i \(-0.758022\pi\)
0.269339 + 0.963045i \(0.413195\pi\)
\(18\) 0.250052 + 0.169540i 0.0138918 + 0.00941888i
\(19\) −3.57727 + 12.8842i −0.188278 + 0.678114i 0.807786 + 0.589475i \(0.200666\pi\)
−0.996064 + 0.0886389i \(0.971748\pi\)
\(20\) 34.0364 3.70168i 1.70182 0.185084i
\(21\) 8.89392 + 6.76098i 0.423520 + 0.321951i
\(22\) −1.93896 0.897059i −0.0881346 0.0407754i
\(23\) −1.14011 + 0.773015i −0.0495701 + 0.0336094i −0.585720 0.810513i \(-0.699188\pi\)
0.536150 + 0.844123i \(0.319878\pi\)
\(24\) −0.444983 1.32066i −0.0185410 0.0550276i
\(25\) −7.86809 47.9932i −0.314724 1.91973i
\(26\) −0.224281 + 1.36805i −0.00862620 + 0.0526175i
\(27\) 4.92415 + 1.65914i 0.182376 + 0.0614496i
\(28\) −6.88487 24.7971i −0.245888 0.885610i
\(29\) 6.28124 + 15.7647i 0.216594 + 0.543611i 0.996621 0.0821353i \(-0.0261740\pi\)
−0.780027 + 0.625746i \(0.784795\pi\)
\(30\) −1.39042 + 0.553995i −0.0463475 + 0.0184665i
\(31\) 50.5330 14.0304i 1.63010 0.452594i 0.672356 0.740228i \(-0.265283\pi\)
0.957740 + 0.287634i \(0.0928687\pi\)
\(32\) −1.53821 + 4.56524i −0.0480690 + 0.142664i
\(33\) −36.2614 5.94476i −1.09883 0.180144i
\(34\) −0.897804 + 0.147188i −0.0264060 + 0.00432904i
\(35\) −52.4514 + 17.6729i −1.49861 + 0.504941i
\(36\) −6.71717 9.90709i −0.186588 0.275197i
\(37\) 1.84597 3.99000i 0.0498911 0.107838i −0.881027 0.473066i \(-0.843147\pi\)
0.930918 + 0.365229i \(0.119009\pi\)
\(38\) −0.814902 + 1.07199i −0.0214448 + 0.0282101i
\(39\) 2.57800 + 23.7043i 0.0661025 + 0.607803i
\(40\) 6.65266 + 1.84710i 0.166316 + 0.0461775i
\(41\) 35.1720 51.8749i 0.857855 1.26524i −0.104796 0.994494i \(-0.533419\pi\)
0.962650 0.270747i \(-0.0872708\pi\)
\(42\) 0.580024 + 0.964008i 0.0138101 + 0.0229526i
\(43\) −61.8600 + 3.35395i −1.43861 + 0.0779989i −0.756853 0.653585i \(-0.773264\pi\)
−0.681752 + 0.731584i \(0.738782\pi\)
\(44\) 58.2103 + 61.4518i 1.32296 + 1.39663i
\(45\) −20.4939 + 15.5790i −0.455419 + 0.346201i
\(46\) −0.135472 + 0.0298196i −0.00294504 + 0.000648252i
\(47\) −50.9521 + 43.2791i −1.08409 + 0.920831i −0.997155 0.0753830i \(-0.975982\pi\)
−0.0869317 + 0.996214i \(0.527706\pi\)
\(48\) −1.48894 + 27.4619i −0.0310196 + 0.572122i
\(49\) −3.46425 6.53427i −0.0706990 0.133352i
\(50\) 1.05284 4.78308i 0.0210567 0.0956617i
\(51\) −14.2017 + 6.57042i −0.278465 + 0.128832i
\(52\) 28.3173 47.0637i 0.544563 0.905071i
\(53\) 15.6302 29.4816i 0.294909 0.556257i −0.691139 0.722722i \(-0.742891\pi\)
0.986047 + 0.166465i \(0.0532354\pi\)
\(54\) 0.398815 + 0.338757i 0.00738547 + 0.00627328i
\(55\) 125.193 132.165i 2.27624 2.40300i
\(56\) 0.561116 5.15938i 0.0100199 0.0921317i
\(57\) −8.57249 + 21.5153i −0.150394 + 0.377462i
\(58\) 1.70893i 0.0294643i
\(59\) 41.8416 41.5966i 0.709181 0.705027i
\(60\) 59.3003 0.988339
\(61\) −15.2526 6.07717i −0.250042 0.0996258i 0.241750 0.970339i \(-0.422279\pi\)
−0.491792 + 0.870713i \(0.663658\pi\)
\(62\) 5.25037 + 0.571012i 0.0846834 + 0.00920988i
\(63\) 14.0483 + 13.3073i 0.222989 + 0.211226i
\(64\) 40.8038 48.0379i 0.637559 0.750593i
\(65\) −104.369 55.3329i −1.60568 0.851276i
\(66\) −3.17070 1.90775i −0.0480409 0.0289053i
\(67\) 38.7062 + 83.6621i 0.577705 + 1.24869i 0.947554 + 0.319596i \(0.103547\pi\)
−0.369849 + 0.929092i \(0.620591\pi\)
\(68\) 35.2031 + 7.74880i 0.517693 + 0.113953i
\(69\) −2.10792 + 1.11755i −0.0305495 + 0.0161963i
\(70\) −5.56561 0.301759i −0.0795087 0.00431084i
\(71\) 62.3085 + 73.3553i 0.877585 + 1.03317i 0.999176 + 0.0405925i \(0.0129245\pi\)
−0.121591 + 0.992580i \(0.538800\pi\)
\(72\) −0.518898 2.35738i −0.00720691 0.0327413i
\(73\) −0.658218 0.865871i −0.00901668 0.0118612i 0.791563 0.611088i \(-0.209268\pi\)
−0.800579 + 0.599227i \(0.795475\pi\)
\(74\) 0.321416 0.304461i 0.00434345 0.00411434i
\(75\) −4.56047 84.1129i −0.0608062 1.12151i
\(76\) 45.7139 27.5051i 0.601499 0.361910i
\(77\) −113.261 76.7927i −1.47092 0.997307i
\(78\) −0.642381 + 2.31365i −0.00823566 + 0.0296622i
\(79\) −27.0642 + 2.94341i −0.342585 + 0.0372583i −0.277794 0.960641i \(-0.589603\pi\)
−0.0647904 + 0.997899i \(0.520638\pi\)
\(80\) −108.470 82.4568i −1.35588 1.03071i
\(81\) 8.16818 + 3.77900i 0.100842 + 0.0466543i
\(82\) 5.22396 3.54193i 0.0637068 0.0431943i
\(83\) 40.9995 + 121.682i 0.493970 + 1.46605i 0.847585 + 0.530660i \(0.178056\pi\)
−0.353614 + 0.935391i \(0.615048\pi\)
\(84\) −7.21136 43.9873i −0.0858495 0.523659i
\(85\) 12.5420 76.5029i 0.147553 0.900034i
\(86\) −5.91207 1.99201i −0.0687450 0.0231629i
\(87\) 7.86342 + 28.3215i 0.0903842 + 0.325534i
\(88\) 6.31814 + 15.8573i 0.0717970 + 0.180197i
\(89\) −33.2357 + 13.2423i −0.373435 + 0.148790i −0.549302 0.835624i \(-0.685106\pi\)
0.175867 + 0.984414i \(0.443727\pi\)
\(90\) −2.49791 + 0.693542i −0.0277546 + 0.00770602i
\(91\) −28.3524 + 84.1469i −0.311565 + 0.924691i
\(92\) 5.42349 + 0.889136i 0.0589510 + 0.00966452i
\(93\) 89.6401 14.6957i 0.963872 0.158019i
\(94\) −6.37979 + 2.14960i −0.0678701 + 0.0228681i
\(95\) −64.3916 94.9704i −0.677806 0.999689i
\(96\) −3.50356 + 7.57282i −0.0364954 + 0.0788836i
\(97\) −43.6583 + 57.4315i −0.450085 + 0.592077i −0.964046 0.265737i \(-0.914385\pi\)
0.513960 + 0.857814i \(0.328178\pi\)
\(98\) −0.0805247 0.740413i −0.000821681 0.00755523i
\(99\) −61.3252 17.0269i −0.619447 0.171988i
\(100\) −108.894 + 160.607i −1.08894 + 1.60607i
\(101\) 74.9967 + 124.645i 0.742542 + 1.23411i 0.965783 + 0.259351i \(0.0835085\pi\)
−0.223242 + 0.974763i \(0.571664\pi\)
\(102\) −1.57349 + 0.0853122i −0.0154264 + 0.000836394i
\(103\) 16.5555 + 17.4774i 0.160733 + 0.169684i 0.801387 0.598146i \(-0.204096\pi\)
−0.640655 + 0.767829i \(0.721337\pi\)
\(104\) 8.81791 6.70320i 0.0847876 0.0644538i
\(105\) −93.6255 + 20.6085i −0.891671 + 0.196272i
\(106\) 2.56111 2.17543i 0.0241615 0.0205229i
\(107\) −2.13868 + 39.4456i −0.0199877 + 0.368651i 0.971379 + 0.237534i \(0.0763391\pi\)
−0.991367 + 0.131117i \(0.958144\pi\)
\(108\) −9.71100 18.3169i −0.0899167 0.169601i
\(109\) −21.1799 + 96.2214i −0.194311 + 0.882765i 0.774033 + 0.633145i \(0.218237\pi\)
−0.968344 + 0.249619i \(0.919695\pi\)
\(110\) 16.6383 7.69768i 0.151257 0.0699789i
\(111\) 3.92577 6.52468i 0.0353673 0.0587809i
\(112\) −47.9734 + 90.4874i −0.428334 + 0.807923i
\(113\) 82.3431 + 69.9429i 0.728700 + 0.618964i 0.932971 0.359951i \(-0.117207\pi\)
−0.204271 + 0.978914i \(0.565482\pi\)
\(114\) −1.60393 + 1.69324i −0.0140695 + 0.0148530i
\(115\) 1.27797 11.7508i 0.0111128 0.102181i
\(116\) 25.0612 62.8990i 0.216045 0.542233i
\(117\) 41.2992i 0.352984i
\(118\) 5.46479 2.33179i 0.0463118 0.0197609i
\(119\) −58.2729 −0.489688
\(120\) 11.1093 + 4.42635i 0.0925774 + 0.0368862i
\(121\) 327.148 + 35.5795i 2.70370 + 0.294045i
\(122\) −1.20037 1.13705i −0.00983908 0.00932007i
\(123\) 70.2771 82.7366i 0.571359 0.672656i
\(124\) −184.872 98.0128i −1.49090 0.790426i
\(125\) 173.773 + 104.556i 1.39019 + 0.836448i
\(126\) 0.818215 + 1.76854i 0.00649377 + 0.0140360i
\(127\) −219.207 48.2511i −1.72604 0.379930i −0.762394 0.647113i \(-0.775976\pi\)
−0.963646 + 0.267183i \(0.913907\pi\)
\(128\) 22.6328 11.9991i 0.176819 0.0937433i
\(129\) −107.145 5.80922i −0.830579 0.0450327i
\(130\) −7.70132 9.06669i −0.0592409 0.0697438i
\(131\) −7.05678 32.0593i −0.0538686 0.244727i 0.941990 0.335640i \(-0.108953\pi\)
−0.995859 + 0.0909128i \(0.971022\pi\)
\(132\) 88.7242 + 116.715i 0.672153 + 0.884202i
\(133\) −62.6159 + 59.3130i −0.470796 + 0.445962i
\(134\) 0.502572 + 9.26940i 0.00375054 + 0.0691746i
\(135\) −38.2058 + 22.9877i −0.283006 + 0.170279i
\(136\) 6.01654 + 4.07932i 0.0442393 + 0.0299950i
\(137\) 13.8422 49.8553i 0.101038 0.363907i −0.895695 0.444669i \(-0.853321\pi\)
0.996733 + 0.0807616i \(0.0257352\pi\)
\(138\) −0.238853 + 0.0259768i −0.00173082 + 0.000188238i
\(139\) −36.2918 27.5883i −0.261092 0.198477i 0.466436 0.884555i \(-0.345538\pi\)
−0.727528 + 0.686078i \(0.759331\pi\)
\(140\) 200.423 + 92.7256i 1.43159 + 0.662326i
\(141\) −95.8390 + 64.9804i −0.679709 + 0.460854i
\(142\) 3.09477 + 9.18494i 0.0217941 + 0.0646826i
\(143\) −47.2491 288.207i −0.330413 2.01543i
\(144\) −7.70652 + 47.0077i −0.0535175 + 0.326442i
\(145\) −137.997 46.4966i −0.951703 0.320666i
\(146\) −0.0293023 0.105537i −0.000200701 0.000722859i
\(147\) −4.74143 11.9001i −0.0322546 0.0809529i
\(148\) −16.2949 + 6.49250i −0.110101 + 0.0438682i
\(149\) 32.4700 9.01525i 0.217920 0.0605051i −0.156853 0.987622i \(-0.550135\pi\)
0.374772 + 0.927117i \(0.377721\pi\)
\(150\) 2.70859 8.03882i 0.0180573 0.0535921i
\(151\) −3.32137 0.544511i −0.0219958 0.00360604i 0.150774 0.988568i \(-0.451823\pi\)
−0.172770 + 0.984962i \(0.555272\pi\)
\(152\) 10.6171 1.74058i 0.0698492 0.0114512i
\(153\) −25.6844 + 8.65407i −0.167872 + 0.0565625i
\(154\) −7.73326 11.4057i −0.0502160 0.0740630i
\(155\) −188.962 + 408.434i −1.21911 + 2.63506i
\(156\) 57.5729 75.7359i 0.369057 0.485487i
\(157\) −9.02103 82.9470i −0.0574588 0.528325i −0.987128 0.159930i \(-0.948873\pi\)
0.929670 0.368395i \(-0.120092\pi\)
\(158\) −2.64159 0.733434i −0.0167189 0.00464199i
\(159\) 32.4345 47.8373i 0.203991 0.300863i
\(160\) −21.3122 35.4211i −0.133201 0.221382i
\(161\) −8.87180 + 0.481015i −0.0551043 + 0.00298767i
\(162\) 0.623281 + 0.657990i 0.00384741 + 0.00406167i
\(163\) −165.177 + 125.565i −1.01336 + 0.770335i −0.973457 0.228868i \(-0.926497\pi\)
−0.0399014 + 0.999204i \(0.512704\pi\)
\(164\) −244.216 + 53.7559i −1.48912 + 0.327780i
\(165\) 240.320 204.130i 1.45649 1.23715i
\(166\) −0.700052 + 12.9117i −0.00421718 + 0.0777813i
\(167\) −79.7270 150.381i −0.477407 0.900486i −0.998884 0.0472206i \(-0.984964\pi\)
0.521477 0.853265i \(-0.325381\pi\)
\(168\) 1.93237 8.77884i 0.0115022 0.0522550i
\(169\) −18.6174 + 8.61332i −0.110162 + 0.0509664i
\(170\) 4.02489 6.68942i 0.0236758 0.0393495i
\(171\) −18.7901 + 35.4418i −0.109883 + 0.207262i
\(172\) 188.388 + 160.018i 1.09528 + 0.930336i
\(173\) 47.1293 49.7538i 0.272424 0.287594i −0.575400 0.817872i \(-0.695154\pi\)
0.847824 + 0.530278i \(0.177912\pi\)
\(174\) −0.320027 + 2.94260i −0.00183924 + 0.0169115i
\(175\) 116.111 291.416i 0.663489 1.66523i
\(176\) 336.861i 1.91398i
\(177\) 79.8367 63.7895i 0.451055 0.360393i
\(178\) −3.60283 −0.0202406
\(179\) −139.362 55.5267i −0.778556 0.310205i −0.0532044 0.998584i \(-0.516943\pi\)
−0.725352 + 0.688379i \(0.758323\pi\)
\(180\) 102.109 + 11.1050i 0.567273 + 0.0616946i
\(181\) 160.661 + 152.186i 0.887630 + 0.840808i 0.988049 0.154137i \(-0.0492599\pi\)
−0.100420 + 0.994945i \(0.532018\pi\)
\(182\) −5.78888 + 6.81520i −0.0318070 + 0.0374462i
\(183\) −25.1253 13.3206i −0.137297 0.0727901i
\(184\) 0.949666 + 0.571395i 0.00516123 + 0.00310541i
\(185\) 15.8403 + 34.2383i 0.0856233 + 0.185072i
\(186\) 8.93367 + 1.96645i 0.0480305 + 0.0105723i
\(187\) 169.338 89.7772i 0.905550 0.480092i
\(188\) 266.339 + 14.4405i 1.41670 + 0.0768110i
\(189\) 21.6977 + 25.5445i 0.114803 + 0.135156i
\(190\) −2.48395 11.2847i −0.0130734 0.0593931i
\(191\) 99.4099 + 130.771i 0.520470 + 0.684667i 0.978965 0.204030i \(-0.0654041\pi\)
−0.458494 + 0.888697i \(0.651611\pi\)
\(192\) 79.2559 75.0752i 0.412791 0.391017i
\(193\) 12.2553 + 226.036i 0.0634991 + 1.17117i 0.840550 + 0.541734i \(0.182232\pi\)
−0.777051 + 0.629438i \(0.783285\pi\)
\(194\) −6.22497 + 3.74544i −0.0320875 + 0.0193064i
\(195\) −169.351 114.823i −0.868464 0.588834i
\(196\) −7.89427 + 28.4326i −0.0402769 + 0.145064i
\(197\) 97.7105 10.6267i 0.495993 0.0539424i 0.143295 0.989680i \(-0.454230\pi\)
0.352697 + 0.935738i \(0.385265\pi\)
\(198\) −5.10236 3.87872i −0.0257695 0.0195895i
\(199\) −308.407 142.684i −1.54978 0.717006i −0.556300 0.830982i \(-0.687779\pi\)
−0.993484 + 0.113976i \(0.963641\pi\)
\(200\) −32.3883 + 21.9598i −0.161942 + 0.109799i
\(201\) 50.9809 + 151.306i 0.253636 + 0.752766i
\(202\) 2.36996 + 14.4561i 0.0117325 + 0.0715649i
\(203\) −17.7084 + 108.017i −0.0872336 + 0.532102i
\(204\) 59.1651 + 19.9350i 0.290025 + 0.0977208i
\(205\) 143.879 + 518.207i 0.701851 + 2.52784i
\(206\) 0.897325 + 2.25212i 0.00435595 + 0.0109326i
\(207\) −3.83890 + 1.52956i −0.0185454 + 0.00738916i
\(208\) −210.621 + 58.4786i −1.01260 + 0.281147i
\(209\) 90.5788 268.828i 0.433392 1.28626i
\(210\) −9.52690 1.56186i −0.0453662 0.00743741i
\(211\) 229.759 37.6671i 1.08891 0.178517i 0.409522 0.912300i \(-0.365696\pi\)
0.679384 + 0.733783i \(0.262247\pi\)
\(212\) −126.167 + 42.5106i −0.595127 + 0.200522i
\(213\) 93.5518 + 137.979i 0.439210 + 0.647787i
\(214\) −1.67037 + 3.61045i −0.00780549 + 0.0168713i
\(215\) 321.712 423.204i 1.49633 1.96839i
\(216\) −0.452028 4.15633i −0.00209272 0.0192423i
\(217\) 325.944 + 90.4980i 1.50205 + 0.417042i
\(218\) −5.56796 + 8.21212i −0.0255411 + 0.0376703i
\(219\) −0.971234 1.61420i −0.00443486 0.00737079i
\(220\) −725.275 + 39.3233i −3.29670 + 0.178742i
\(221\) −85.5296 90.2925i −0.387012 0.408564i
\(222\) 0.610460 0.464060i 0.00274982 0.00209036i
\(223\) 111.708 24.5887i 0.500931 0.110263i 0.0426849 0.999089i \(-0.486409\pi\)
0.458246 + 0.888825i \(0.348478\pi\)
\(224\) −23.6827 + 20.1162i −0.105726 + 0.0898046i
\(225\) 7.89896 145.688i 0.0351065 0.647501i
\(226\) 5.09621 + 9.61248i 0.0225496 + 0.0425331i
\(227\) 18.0088 81.8148i 0.0793339 0.360418i −0.920183 0.391488i \(-0.871961\pi\)
0.999517 + 0.0310702i \(0.00989155\pi\)
\(228\) 83.8655 38.8003i 0.367831 0.170177i
\(229\) −4.17609 + 6.94072i −0.0182362 + 0.0303088i −0.865841 0.500319i \(-0.833216\pi\)
0.847605 + 0.530628i \(0.178044\pi\)
\(230\) 0.557554 1.05166i 0.00242415 0.00457243i
\(231\) −180.643 153.439i −0.782002 0.664239i
\(232\) 9.38992 9.91281i 0.0404738 0.0427276i
\(233\) 18.7761 172.644i 0.0805842 0.740960i −0.882234 0.470811i \(-0.843961\pi\)
0.962819 0.270149i \(-0.0870730\pi\)
\(234\) −1.53939 + 3.86357i −0.00657858 + 0.0165110i
\(235\) 573.658i 2.44110i
\(236\) −235.333 + 5.68338i −0.997174 + 0.0240821i
\(237\) −47.1530 −0.198958
\(238\) −5.45148 2.17207i −0.0229054 0.00912633i
\(239\) 63.3750 + 6.89245i 0.265167 + 0.0288387i 0.239737 0.970838i \(-0.422939\pi\)
0.0254305 + 0.999677i \(0.491904\pi\)
\(240\) −171.333 162.295i −0.713887 0.676229i
\(241\) 143.091 168.460i 0.593738 0.699002i −0.380435 0.924808i \(-0.624226\pi\)
0.974172 + 0.225806i \(0.0725015\pi\)
\(242\) 29.2788 + 15.5226i 0.120987 + 0.0641431i
\(243\) 13.3571 + 8.03669i 0.0549674 + 0.0330728i
\(244\) 27.5062 + 59.4536i 0.112730 + 0.243662i
\(245\) 61.9797 + 13.6428i 0.252978 + 0.0556847i
\(246\) 9.65841 5.12057i 0.0392618 0.0208153i
\(247\) −183.808 9.96579i −0.744163 0.0403473i
\(248\) −27.3178 32.1610i −0.110152 0.129682i
\(249\) 47.8098 + 217.202i 0.192007 + 0.872298i
\(250\) 12.3594 + 16.2585i 0.0494377 + 0.0650341i
\(251\) 69.6677 65.9928i 0.277561 0.262919i −0.536237 0.844067i \(-0.680155\pi\)
0.813798 + 0.581148i \(0.197396\pi\)
\(252\) −4.17981 77.0921i −0.0165866 0.305921i
\(253\) 25.0399 15.0660i 0.0989719 0.0595494i
\(254\) −18.7085 12.6847i −0.0736555 0.0499396i
\(255\) 35.9226 129.381i 0.140873 0.507378i
\(256\) −248.072 + 26.9794i −0.969030 + 0.105388i
\(257\) 96.8862 + 73.6510i 0.376989 + 0.286580i 0.776460 0.630166i \(-0.217013\pi\)
−0.399471 + 0.916746i \(0.630806\pi\)
\(258\) −9.80694 4.53717i −0.0380114 0.0175859i
\(259\) 23.4707 15.9135i 0.0906205 0.0614422i
\(260\) 150.493 + 446.648i 0.578821 + 1.71788i
\(261\) 8.23631 + 50.2393i 0.0315567 + 0.192488i
\(262\) 0.534812 3.26221i 0.00204127 0.0124512i
\(263\) −254.942 85.9001i −0.969363 0.326616i −0.210302 0.977636i \(-0.567445\pi\)
−0.759061 + 0.651020i \(0.774341\pi\)
\(264\) 7.90962 + 28.4879i 0.0299607 + 0.107909i
\(265\) 105.984 + 266.001i 0.399941 + 1.00378i
\(266\) −8.06861 + 3.21483i −0.0303331 + 0.0120858i
\(267\) −59.7084 + 16.5780i −0.223627 + 0.0620897i
\(268\) 117.437 348.540i 0.438197 1.30052i
\(269\) −45.0461 7.38494i −0.167458 0.0274533i 0.0774697 0.996995i \(-0.475316\pi\)
−0.244928 + 0.969541i \(0.578764\pi\)
\(270\) −4.43103 + 0.726430i −0.0164112 + 0.00269048i
\(271\) 428.292 144.308i 1.58041 0.532503i 0.613958 0.789338i \(-0.289576\pi\)
0.966455 + 0.256835i \(0.0826798\pi\)
\(272\) −80.5031 118.733i −0.295967 0.436519i
\(273\) −64.5779 + 139.583i −0.236549 + 0.511292i
\(274\) 3.15326 4.14804i 0.0115082 0.0151388i
\(275\) 111.554 + 1025.72i 0.405651 + 3.72990i
\(276\) 9.17219 + 2.54664i 0.0332326 + 0.00922697i
\(277\) 64.3863 94.9627i 0.232442 0.342826i −0.693524 0.720433i \(-0.743943\pi\)
0.925966 + 0.377608i \(0.123253\pi\)
\(278\) −2.36680 3.93365i −0.00851366 0.0141498i
\(279\) 157.103 8.51788i 0.563093 0.0305300i
\(280\) 30.6258 + 32.3313i 0.109378 + 0.115469i
\(281\) −102.721 + 78.0861i −0.365554 + 0.277887i −0.771785 0.635884i \(-0.780636\pi\)
0.406231 + 0.913770i \(0.366843\pi\)
\(282\) −11.3879 + 2.50667i −0.0403826 + 0.00888889i
\(283\) −271.372 + 230.506i −0.958913 + 0.814508i −0.982699 0.185209i \(-0.940704\pi\)
0.0237864 + 0.999717i \(0.492428\pi\)
\(284\) 20.7898 383.446i 0.0732036 1.35016i
\(285\) −93.0908 175.588i −0.326634 0.616098i
\(286\) 6.32244 28.7231i 0.0221064 0.100431i
\(287\) 366.895 169.744i 1.27838 0.591441i
\(288\) −7.45092 + 12.3835i −0.0258712 + 0.0429983i
\(289\) −97.1386 + 183.223i −0.336120 + 0.633989i
\(290\) −11.1766 9.49350i −0.0385400 0.0327362i
\(291\) −85.9301 + 90.7153i −0.295293 + 0.311737i
\(292\) −0.469190 + 4.31413i −0.00160682 + 0.0147744i
\(293\) 115.258 289.275i 0.393370 0.987285i −0.590280 0.807198i \(-0.700983\pi\)
0.983651 0.180087i \(-0.0576379\pi\)
\(294\) 1.28999i 0.00438774i
\(295\) 39.6068 + 504.729i 0.134260 + 1.71094i
\(296\) −3.53730 −0.0119503
\(297\) −102.407 40.8027i −0.344805 0.137383i
\(298\) 3.37363 + 0.366904i 0.0113209 + 0.00123122i
\(299\) −13.7668 13.0406i −0.0460429 0.0436142i
\(300\) −217.581 + 256.156i −0.725270 + 0.853854i
\(301\) −353.044 187.172i −1.17290 0.621834i
\(302\) −0.290421 0.174740i −0.000961659 0.000578611i
\(303\) 105.795 + 228.671i 0.349157 + 0.754690i
\(304\) −207.355 45.6424i −0.682090 0.150139i
\(305\) 124.477 65.9936i 0.408121 0.216372i
\(306\) −2.72536 0.147765i −0.00890642 0.000482892i
\(307\) 161.056 + 189.609i 0.524611 + 0.617620i 0.959103 0.283056i \(-0.0913481\pi\)
−0.434493 + 0.900675i \(0.643072\pi\)
\(308\) 117.368 + 533.207i 0.381064 + 1.73119i
\(309\) 25.2339 + 33.1946i 0.0816631 + 0.107426i
\(310\) −32.9015 + 31.1660i −0.106134 + 0.100535i
\(311\) 20.2043 + 372.646i 0.0649656 + 1.19822i 0.831317 + 0.555798i \(0.187587\pi\)
−0.766352 + 0.642421i \(0.777930\pi\)
\(312\) 16.4388 9.89091i 0.0526885 0.0317016i
\(313\) 142.085 + 96.3359i 0.453945 + 0.307782i 0.766647 0.642069i \(-0.221924\pi\)
−0.312702 + 0.949851i \(0.601234\pi\)
\(314\) 2.24785 8.09601i 0.00715875 0.0257835i
\(315\) −165.073 + 17.9527i −0.524041 + 0.0569929i
\(316\) 86.4709 + 65.7334i 0.273642 + 0.208017i
\(317\) −186.680 86.3675i −0.588897 0.272453i 0.102728 0.994709i \(-0.467243\pi\)
−0.691625 + 0.722257i \(0.743105\pi\)
\(318\) 4.81736 3.26625i 0.0151489 0.0102712i
\(319\) −114.954 341.173i −0.360359 1.06951i
\(320\) 87.4996 + 533.724i 0.273436 + 1.66789i
\(321\) −11.0695 + 67.5208i −0.0344844 + 0.210345i
\(322\) −0.847893 0.285689i −0.00263321 0.000887231i
\(323\) −32.3184 116.400i −0.100057 0.360373i
\(324\) −13.2912 33.3584i −0.0410222 0.102958i
\(325\) 621.962 247.812i 1.91373 0.762500i
\(326\) −20.1328 + 5.58984i −0.0617570 + 0.0171468i
\(327\) −54.4888 + 161.717i −0.166632 + 0.494547i
\(328\) −49.7637 8.15834i −0.151719 0.0248730i
\(329\) −425.524 + 69.7611i −1.29339 + 0.212040i
\(330\) 30.0909 10.1388i 0.0911846 0.0307237i
\(331\) −204.016 300.902i −0.616363 0.909068i 0.383532 0.923528i \(-0.374708\pi\)
−0.999895 + 0.0144595i \(0.995397\pi\)
\(332\) 215.115 464.963i 0.647936 1.40049i
\(333\) 7.98164 10.4997i 0.0239689 0.0315305i
\(334\) −1.85321 17.0400i −0.00554855 0.0510180i
\(335\) −762.183 211.619i −2.27517 0.631699i
\(336\) −99.5506 + 146.826i −0.296282 + 0.436983i
\(337\) 163.372 + 271.526i 0.484783 + 0.805716i 0.998639 0.0521608i \(-0.0166108\pi\)
−0.513855 + 0.857877i \(0.671783\pi\)
\(338\) −2.06273 + 0.111838i −0.00610274 + 0.000330881i
\(339\) 128.688 + 135.855i 0.379612 + 0.400751i
\(340\) −246.240 + 187.187i −0.724235 + 0.550549i
\(341\) −1086.60 + 239.179i −3.18651 + 0.701404i
\(342\) −3.07889 + 2.61523i −0.00900259 + 0.00764687i
\(343\) 19.6936 363.227i 0.0574157 1.05897i
\(344\) 23.3482 + 44.0394i 0.0678728 + 0.128022i
\(345\) 4.40107 19.9943i 0.0127567 0.0579544i
\(346\) 6.26351 2.89781i 0.0181026 0.00837516i
\(347\) −76.1834 + 126.618i −0.219549 + 0.364893i −0.946983 0.321285i \(-0.895885\pi\)
0.727434 + 0.686178i \(0.240713\pi\)
\(348\) 54.9318 103.612i 0.157850 0.297737i
\(349\) 53.6504 + 45.5711i 0.153726 + 0.130576i 0.720949 0.692988i \(-0.243706\pi\)
−0.567223 + 0.823564i \(0.691982\pi\)
\(350\) 21.7245 22.9343i 0.0620699 0.0655264i
\(351\) −7.73399 + 71.1129i −0.0220342 + 0.202601i
\(352\) 37.8287 94.9429i 0.107468 0.269724i
\(353\) 288.176i 0.816363i 0.912901 + 0.408182i \(0.133837\pi\)
−0.912901 + 0.408182i \(0.866163\pi\)
\(354\) 9.84648 2.99172i 0.0278149 0.00845118i
\(355\) −825.891 −2.32645
\(356\) 132.606 + 52.8350i 0.372489 + 0.148413i
\(357\) −100.340 10.9126i −0.281064 0.0305676i
\(358\) −10.9677 10.3891i −0.0306360 0.0290199i
\(359\) 114.496 134.795i 0.318930 0.375473i −0.579214 0.815176i \(-0.696640\pi\)
0.898143 + 0.439703i \(0.144916\pi\)
\(360\) 18.3001 + 9.70212i 0.0508337 + 0.0269503i
\(361\) 156.120 + 93.9345i 0.432467 + 0.260206i
\(362\) 9.35737 + 20.2256i 0.0258491 + 0.0558719i
\(363\) 556.653 + 122.529i 1.53348 + 0.337544i
\(364\) 313.010 165.948i 0.859918 0.455900i
\(365\) 9.31946 + 0.505287i 0.0255328 + 0.00138435i
\(366\) −1.85398 2.18267i −0.00506551 0.00596359i
\(367\) 10.3308 + 46.9334i 0.0281494 + 0.127884i 0.988600 0.150567i \(-0.0481100\pi\)
−0.960450 + 0.278451i \(0.910179\pi\)
\(368\) −13.2363 17.4121i −0.0359683 0.0473155i
\(369\) 136.504 129.303i 0.369929 0.350416i
\(370\) 0.205675 + 3.79345i 0.000555878 + 0.0102526i
\(371\) 184.423 110.964i 0.497098 0.299094i
\(372\) −299.976 203.389i −0.806386 0.546743i
\(373\) 168.018 605.147i 0.450451 1.62238i −0.294776 0.955567i \(-0.595245\pi\)
0.745227 0.666811i \(-0.232341\pi\)
\(374\) 19.1881 2.08683i 0.0513050 0.00557975i
\(375\) 279.640 + 212.577i 0.745707 + 0.566871i
\(376\) 48.8179 + 22.5856i 0.129835 + 0.0600680i
\(377\) −193.361 + 131.102i −0.512893 + 0.347750i
\(378\) 1.07769 + 3.19847i 0.00285103 + 0.00846157i
\(379\) −79.4837 484.829i −0.209720 1.27923i −0.856336 0.516418i \(-0.827265\pi\)
0.646617 0.762815i \(-0.276183\pi\)
\(380\) −74.0643 + 451.772i −0.194906 + 1.18887i
\(381\) −368.416 124.134i −0.966972 0.325811i
\(382\) 4.42549 + 15.9392i 0.0115851 + 0.0417256i
\(383\) 74.9172 + 188.028i 0.195606 + 0.490934i 0.993763 0.111516i \(-0.0355705\pi\)
−0.798157 + 0.602450i \(0.794191\pi\)
\(384\) 41.2184 16.4229i 0.107340 0.0427680i
\(385\) 1131.42 314.138i 2.93876 0.815944i
\(386\) −7.27879 + 21.6027i −0.0188570 + 0.0559655i
\(387\) −183.404 30.0676i −0.473913 0.0776941i
\(388\) 284.043 46.5665i 0.732070 0.120017i
\(389\) −243.133 + 81.9211i −0.625021 + 0.210594i −0.613950 0.789345i \(-0.710420\pi\)
−0.0110705 + 0.999939i \(0.503524\pi\)
\(390\) −11.5630 17.0541i −0.0296487 0.0437285i
\(391\) 5.22532 11.2943i 0.0133640 0.0288858i
\(392\) −3.60120 + 4.73729i −0.00918672 + 0.0120849i
\(393\) −6.14739 56.5243i −0.0156422 0.143828i
\(394\) 9.53700 + 2.64793i 0.0242056 + 0.00672065i
\(395\) 131.098 193.355i 0.331893 0.489505i
\(396\) 130.917 + 217.586i 0.330599 + 0.549459i
\(397\) 311.269 16.8765i 0.784053 0.0425101i 0.342234 0.939615i \(-0.388816\pi\)
0.441818 + 0.897105i \(0.354334\pi\)
\(398\) −23.5333 24.8438i −0.0591289 0.0624216i
\(399\) −118.926 + 90.4049i −0.298059 + 0.226579i
\(400\) 754.175 166.006i 1.88544 0.415016i
\(401\) 383.219 325.509i 0.955659 0.811744i −0.0265284 0.999648i \(-0.508445\pi\)
0.982187 + 0.187904i \(0.0601694\pi\)
\(402\) −0.870480 + 16.0551i −0.00216537 + 0.0399380i
\(403\) 338.178 + 637.871i 0.839151 + 1.58281i
\(404\) 124.768 566.828i 0.308833 1.40304i
\(405\) −70.0913 + 32.4277i −0.173065 + 0.0800684i
\(406\) −5.68286 + 9.44498i −0.0139972 + 0.0232635i
\(407\) −43.6876 + 82.4036i −0.107341 + 0.202466i
\(408\) 9.59595 + 8.15087i 0.0235195 + 0.0199776i
\(409\) −388.193 + 409.810i −0.949127 + 1.00198i 0.0508681 + 0.998705i \(0.483801\pi\)
−0.999995 + 0.00327532i \(0.998957\pi\)
\(410\) −5.85563 + 53.8416i −0.0142820 + 0.131321i
\(411\) 33.1712 83.2534i 0.0807085 0.202563i
\(412\) 96.0508i 0.233133i
\(413\) 369.577 90.7580i 0.894860 0.219753i
\(414\) −0.416145 −0.00100518
\(415\) −1023.58 407.831i −2.46646 0.982726i
\(416\) −65.9297 7.17028i −0.158485 0.0172363i
\(417\) −57.3243 54.3005i −0.137468 0.130217i
\(418\) 18.4940 21.7729i 0.0442441 0.0520882i
\(419\) −488.363 258.914i −1.16554 0.617932i −0.230712 0.973022i \(-0.574105\pi\)
−0.934832 + 0.355090i \(0.884450\pi\)
\(420\) 327.744 + 197.197i 0.780342 + 0.469516i
\(421\) −110.547 238.944i −0.262583 0.567563i 0.730777 0.682617i \(-0.239158\pi\)
−0.993359 + 0.115054i \(0.963296\pi\)
\(422\) 22.8982 + 5.04026i 0.0542610 + 0.0119438i
\(423\) −177.194 + 93.9421i −0.418898 + 0.222085i
\(424\) −26.8092 1.45355i −0.0632292 0.00342819i
\(425\) 284.447 + 334.877i 0.669286 + 0.787945i
\(426\) 3.60883 + 16.3951i 0.00847143 + 0.0384861i
\(427\) −64.0895 84.3083i −0.150093 0.197443i
\(428\) 114.427 108.391i 0.267352 0.253250i
\(429\) −27.3863 505.111i −0.0638375 1.17741i
\(430\) 45.8709 27.5996i 0.106677 0.0641852i
\(431\) 277.187 + 187.938i 0.643126 + 0.436051i 0.838667 0.544645i \(-0.183336\pi\)
−0.195540 + 0.980696i \(0.562646\pi\)
\(432\) −22.0729 + 79.4993i −0.0510946 + 0.184026i
\(433\) 137.760 14.9823i 0.318152 0.0346011i 0.0523501 0.998629i \(-0.483329\pi\)
0.265802 + 0.964028i \(0.414363\pi\)
\(434\) 27.1191 + 20.6154i 0.0624865 + 0.0475010i
\(435\) −228.909 105.905i −0.526228 0.243459i
\(436\) 325.365 220.603i 0.746249 0.505969i
\(437\) −5.88117 17.4547i −0.0134581 0.0399421i
\(438\) −0.0306918 0.187212i −7.00727e−5 0.000427424i
\(439\) 8.60647 52.4972i 0.0196047 0.119584i −0.975211 0.221277i \(-0.928978\pi\)
0.994816 + 0.101693i \(0.0324259\pi\)
\(440\) −138.808 46.7698i −0.315472 0.106295i
\(441\) −5.93575 21.3786i −0.0134597 0.0484776i
\(442\) −4.63580 11.6350i −0.0104882 0.0263235i
\(443\) 48.1190 19.1723i 0.108621 0.0432784i −0.315195 0.949027i \(-0.602070\pi\)
0.423815 + 0.905749i \(0.360691\pi\)
\(444\) −29.2740 + 8.12790i −0.0659325 + 0.0183061i
\(445\) 98.0258 290.930i 0.220283 0.653776i
\(446\) 11.3669 + 1.86350i 0.0254862 + 0.00417826i
\(447\) 57.5983 9.44276i 0.128855 0.0211247i
\(448\) 385.261 129.810i 0.859958 0.289753i
\(449\) 212.612 + 313.580i 0.473524 + 0.698396i 0.987182 0.159599i \(-0.0510201\pi\)
−0.513658 + 0.857995i \(0.671710\pi\)
\(450\) 6.16933 13.3348i 0.0137096 0.0296329i
\(451\) −804.663 + 1058.52i −1.78417 + 2.34704i
\(452\) −46.6058 428.533i −0.103110 0.948082i
\(453\) −5.61709 1.55958i −0.0123998 0.00344278i
\(454\) 4.73431 6.98258i 0.0104280 0.0153801i
\(455\) −392.827 652.884i −0.863356 1.43491i
\(456\) 18.6075 1.00887i 0.0408059 0.00221243i
\(457\) −403.560 426.033i −0.883063 0.932238i 0.115068 0.993358i \(-0.463291\pi\)
−0.998130 + 0.0611198i \(0.980533\pi\)
\(458\) −0.649385 + 0.493650i −0.00141787 + 0.00107784i
\(459\) −45.8465 + 10.0916i −0.0998834 + 0.0219860i
\(460\) −35.9438 + 30.5310i −0.0781387 + 0.0663716i
\(461\) 2.46957 45.5486i 0.00535700 0.0988040i −0.994632 0.103475i \(-0.967004\pi\)
0.999989 + 0.00467063i \(0.00148671\pi\)
\(462\) −11.1800 21.0876i −0.0241990 0.0456442i
\(463\) −19.3356 + 87.8425i −0.0417616 + 0.189725i −0.992883 0.119092i \(-0.962002\pi\)
0.951122 + 0.308816i \(0.0999328\pi\)
\(464\) −244.552 + 113.142i −0.527051 + 0.243840i
\(465\) −401.860 + 667.896i −0.864214 + 1.43633i
\(466\) 8.19165 15.4511i 0.0175786 0.0331568i
\(467\) 679.448 + 577.128i 1.45492 + 1.23582i 0.920582 + 0.390550i \(0.127715\pi\)
0.534338 + 0.845271i \(0.320561\pi\)
\(468\) 113.318 119.628i 0.242132 0.255615i
\(469\) −64.2861 + 591.101i −0.137070 + 1.26034i
\(470\) 21.3826 53.6662i 0.0454948 0.114183i
\(471\) 144.516i 0.306827i
\(472\) −44.5114 16.5012i −0.0943038 0.0349602i
\(473\) 1314.29 2.77862
\(474\) −4.41120 1.75758i −0.00930633 0.00370798i
\(475\) 646.500 + 70.3111i 1.36105 + 0.148023i
\(476\) 168.794 + 159.891i 0.354610 + 0.335905i
\(477\) 64.8072 76.2970i 0.135864 0.159952i
\(478\) 5.67187 + 3.00704i 0.0118658 + 0.00629087i
\(479\) −582.091 350.233i −1.21522 0.731175i −0.244098 0.969751i \(-0.578492\pi\)
−0.971124 + 0.238576i \(0.923319\pi\)
\(480\) −30.0641 64.9825i −0.0626336 0.135380i
\(481\) 59.1066 + 13.0103i 0.122883 + 0.0270485i
\(482\) 19.6654 10.4260i 0.0407996 0.0216306i
\(483\) −15.3664 0.833142i −0.0318145 0.00172493i
\(484\) −850.000 1000.70i −1.75620 2.06756i
\(485\) −133.077 604.576i −0.274386 1.24655i
\(486\) 0.950006 + 1.24971i 0.00195474 + 0.00257142i
\(487\) −491.179 + 465.270i −1.00858 + 0.955380i −0.999006 0.0445744i \(-0.985807\pi\)
−0.00957602 + 0.999954i \(0.503048\pi\)
\(488\) 0.715203 + 13.1911i 0.00146558 + 0.0270310i
\(489\) −307.933 + 185.277i −0.629720 + 0.378890i
\(490\) 5.28973 + 3.58652i 0.0107954 + 0.00731944i
\(491\) 195.082 702.622i 0.397316 1.43100i −0.446700 0.894684i \(-0.647401\pi\)
0.844016 0.536318i \(-0.180185\pi\)
\(492\) −430.581 + 46.8285i −0.875164 + 0.0951799i
\(493\) −122.051 92.7811i −0.247569 0.188197i
\(494\) −16.8239 7.78358i −0.0340565 0.0157562i
\(495\) 452.034 306.487i 0.913200 0.619165i
\(496\) 265.894 + 789.145i 0.536077 + 1.59102i
\(497\) 100.434 + 612.623i 0.202081 + 1.23264i
\(498\) −3.62336 + 22.1015i −0.00727582 + 0.0443806i
\(499\) 252.133 + 84.9536i 0.505277 + 0.170248i 0.560384 0.828233i \(-0.310653\pi\)
−0.0551070 + 0.998480i \(0.517550\pi\)
\(500\) −216.472 779.662i −0.432944 1.55932i
\(501\) −109.120 273.871i −0.217805 0.546649i
\(502\) 8.97729 3.57688i 0.0178830 0.00712526i
\(503\) 418.514 116.200i 0.832036 0.231014i 0.174710 0.984620i \(-0.444101\pi\)
0.657326 + 0.753606i \(0.271687\pi\)
\(504\) 4.97133 14.7544i 0.00986375 0.0292746i
\(505\) −1231.82 201.947i −2.43925 0.399895i
\(506\) 2.90407 0.476099i 0.00573927 0.000940906i
\(507\) −33.6702 + 11.3448i −0.0664107 + 0.0223764i
\(508\) 502.567 + 741.231i 0.989305 + 1.45912i
\(509\) −64.8146 + 140.094i −0.127337 + 0.275235i −0.960750 0.277417i \(-0.910522\pi\)
0.833413 + 0.552651i \(0.186384\pi\)
\(510\) 8.18316 10.7648i 0.0160454 0.0211074i
\(511\) −0.758508 6.97436i −0.00148436 0.0136485i
\(512\) −122.945 34.1356i −0.240128 0.0666711i
\(513\) −38.9917 + 57.5084i −0.0760071 + 0.112102i
\(514\) 6.31851 + 10.5015i 0.0122928 + 0.0204308i
\(515\) −206.274 + 11.1839i −0.400533 + 0.0217162i
\(516\) 294.418 + 310.813i 0.570577 + 0.602351i
\(517\) 1129.07 858.298i 2.18389 1.66015i
\(518\) 2.78887 0.613876i 0.00538391 0.00118509i
\(519\) 90.4691 76.8451i 0.174314 0.148064i
\(520\) −5.14577 + 94.9081i −0.00989571 + 0.182516i
\(521\) 139.034 + 262.247i 0.266861 + 0.503352i 0.980338 0.197326i \(-0.0632257\pi\)
−0.713477 + 0.700678i \(0.752881\pi\)
\(522\) −1.10211 + 5.00692i −0.00211132 + 0.00959181i
\(523\) 155.023 71.7212i 0.296411 0.137134i −0.266047 0.963960i \(-0.585718\pi\)
0.562458 + 0.826826i \(0.309856\pi\)
\(524\) −67.5242 + 112.226i −0.128863 + 0.214172i
\(525\) 254.503 480.044i 0.484768 0.914370i
\(526\) −20.6482 17.5388i −0.0392552 0.0333437i
\(527\) −325.835 + 343.980i −0.618282 + 0.652713i
\(528\) 63.0831 580.040i 0.119476 1.09856i
\(529\) −195.101 + 489.666i −0.368811 + 0.925645i
\(530\) 28.8350i 0.0544057i
\(531\) 149.416 94.8881i 0.281387 0.178697i
\(532\) 344.119 0.646840
\(533\) 801.521 + 319.355i 1.50379 + 0.599165i
\(534\) −6.20370 0.674693i −0.0116174 0.00126347i
\(535\) −246.099 233.117i −0.459998 0.435733i
\(536\) 48.0166 56.5295i 0.0895832 0.105466i
\(537\) −229.568 121.709i −0.427501 0.226647i
\(538\) −3.93884 2.36992i −0.00732126 0.00440506i
\(539\) 65.8814 + 142.400i 0.122229 + 0.264193i
\(540\) 173.742 + 38.2435i 0.321744 + 0.0708212i
\(541\) 327.146 173.442i 0.604707 0.320595i −0.137773 0.990464i \(-0.543994\pi\)
0.742480 + 0.669869i \(0.233650\pi\)
\(542\) 45.4460 + 2.46401i 0.0838488 + 0.00454615i
\(543\) 248.142 + 292.136i 0.456984 + 0.538003i
\(544\) −9.35602 42.5048i −0.0171986 0.0781339i
\(545\) −511.641 673.052i −0.938790 1.23496i
\(546\) −11.2441 + 10.6510i −0.0205936 + 0.0195073i
\(547\) 42.5334 + 784.482i 0.0777575 + 1.43415i 0.733768 + 0.679401i \(0.237760\pi\)
−0.656010 + 0.754752i \(0.727757\pi\)
\(548\) −176.890 + 106.431i −0.322792 + 0.194217i
\(549\) −40.7686 27.6418i −0.0742598 0.0503494i
\(550\) −27.7968 + 100.115i −0.0505397 + 0.182028i
\(551\) −225.585 + 24.5338i −0.409410 + 0.0445260i
\(552\) 1.52822 + 1.16172i 0.00276852 + 0.00210457i
\(553\) −159.368 73.7313i −0.288187 0.133330i
\(554\) 9.56303 6.48390i 0.0172618 0.0117038i
\(555\) 20.8637 + 61.9212i 0.0375922 + 0.111570i
\(556\) 29.4260 + 179.491i 0.0529245 + 0.322825i
\(557\) −89.8842 + 548.269i −0.161372 + 0.984326i 0.774651 + 0.632388i \(0.217925\pi\)
−0.936024 + 0.351937i \(0.885523\pi\)
\(558\) 15.0146 + 5.05901i 0.0269079 + 0.00906633i
\(559\) −228.159 821.754i −0.408155 1.47004i
\(560\) −325.296 816.431i −0.580885 1.45791i
\(561\) 308.395 122.876i 0.549723 0.219030i
\(562\) −12.5202 + 3.47621i −0.0222779 + 0.00618543i
\(563\) −221.882 + 658.522i −0.394106 + 1.16967i 0.548612 + 0.836077i \(0.315156\pi\)
−0.942719 + 0.333589i \(0.891740\pi\)
\(564\) 455.904 + 74.7417i 0.808340 + 0.132521i
\(565\) −914.871 + 149.985i −1.61924 + 0.265461i
\(566\) −33.9790 + 11.4489i −0.0600335 + 0.0202277i
\(567\) 32.5776 + 48.0483i 0.0574560 + 0.0847413i
\(568\) 32.5162 70.2827i 0.0572469 0.123737i
\(569\) 132.502 174.303i 0.232868 0.306333i −0.664786 0.747034i \(-0.731477\pi\)
0.897654 + 0.440701i \(0.145270\pi\)
\(570\) −2.16385 19.8963i −0.00379622 0.0349057i
\(571\) −253.184 70.2962i −0.443404 0.123111i 0.0386482 0.999253i \(-0.487695\pi\)
−0.482053 + 0.876142i \(0.660109\pi\)
\(572\) −653.926 + 964.469i −1.14323 + 1.68613i
\(573\) 146.684 + 243.791i 0.255994 + 0.425465i
\(574\) 40.6503 2.20400i 0.0708194 0.00383971i
\(575\) 46.0700 + 48.6355i 0.0801218 + 0.0845835i
\(576\) 150.530 114.430i 0.261336 0.198663i
\(577\) 962.790 211.926i 1.66861 0.367290i 0.722562 0.691306i \(-0.242964\pi\)
0.946051 + 0.324017i \(0.105033\pi\)
\(578\) −15.9168 + 13.5199i −0.0275378 + 0.0233908i
\(579\) −21.2269 + 391.506i −0.0366612 + 0.676177i
\(580\) 272.146 + 513.322i 0.469218 + 0.885039i
\(581\) −178.043 + 808.858i −0.306443 + 1.39218i
\(582\) −11.4202 + 5.28353i −0.0196223 + 0.00907823i
\(583\) −364.969 + 606.584i −0.626019 + 1.04045i
\(584\) −0.409917 + 0.773185i −0.000701913 + 0.00132395i
\(585\) −270.102 229.427i −0.461712 0.392182i
\(586\) 21.5649 22.7658i 0.0368001 0.0388494i
\(587\) 82.5650 759.172i 0.140656 1.29331i −0.684754 0.728775i \(-0.740090\pi\)
0.825410 0.564534i \(-0.190944\pi\)
\(588\) −18.9176 + 47.4796i −0.0321728 + 0.0807477i
\(589\) 701.266i 1.19060i
\(590\) −15.1080 + 48.6941i −0.0256068 + 0.0825323i
\(591\) 170.238 0.288050
\(592\) 64.8488 + 25.8381i 0.109542 + 0.0436455i
\(593\) −511.098 55.5853i −0.861886 0.0937357i −0.333510 0.942747i \(-0.608233\pi\)
−0.528375 + 0.849011i \(0.677199\pi\)
\(594\) −8.05939 7.63426i −0.0135680 0.0128523i
\(595\) 323.720 381.112i 0.544067 0.640525i
\(596\) −118.790 62.9782i −0.199311 0.105668i
\(597\) −504.325 303.442i −0.844765 0.508278i
\(598\) −0.801821 1.73311i −0.00134084 0.00289817i
\(599\) 817.971 + 180.049i 1.36556 + 0.300583i 0.836484 0.547991i \(-0.184607\pi\)
0.529077 + 0.848574i \(0.322538\pi\)
\(600\) −59.8817 + 31.7473i −0.0998029 + 0.0529121i
\(601\) −881.189 47.7767i −1.46621 0.0794953i −0.696345 0.717708i \(-0.745191\pi\)
−0.769861 + 0.638212i \(0.779674\pi\)
\(602\) −26.0509 30.6695i −0.0432739 0.0509460i
\(603\) 59.4492 + 270.080i 0.0985891 + 0.447895i
\(604\) 8.12671 + 10.6905i 0.0134548 + 0.0176995i
\(605\) −2050.08 + 1941.94i −3.38856 + 3.20982i
\(606\) 1.37367 + 25.3358i 0.00226677 + 0.0418082i
\(607\) −692.919 + 416.915i −1.14155 + 0.686846i −0.955294 0.295656i \(-0.904462\pi\)
−0.186252 + 0.982502i \(0.559634\pi\)
\(608\) −53.3168 36.1497i −0.0876920 0.0594567i
\(609\) −50.7201 + 182.677i −0.0832843 + 0.299963i
\(610\) 14.1048 1.53399i 0.0231226 0.00251473i
\(611\) −732.653 556.948i −1.19910 0.911535i
\(612\) 98.1431 + 45.4058i 0.160364 + 0.0741925i
\(613\) −926.863 + 628.428i −1.51201 + 1.02517i −0.527558 + 0.849519i \(0.676892\pi\)
−0.984453 + 0.175650i \(0.943797\pi\)
\(614\) 7.99937 + 23.7413i 0.0130283 + 0.0386666i
\(615\) 150.702 + 919.243i 0.245044 + 1.49470i
\(616\) −17.8125 + 108.651i −0.0289163 + 0.176382i
\(617\) −245.782 82.8135i −0.398349 0.134220i 0.112995 0.993596i \(-0.463956\pi\)
−0.511344 + 0.859376i \(0.670852\pi\)
\(618\) 1.12335 + 4.04595i 0.00181772 + 0.00654685i
\(619\) −351.918 883.247i −0.568526 1.42689i −0.879235 0.476388i \(-0.841946\pi\)
0.310709 0.950505i \(-0.399433\pi\)
\(620\) 1668.02 664.601i 2.69036 1.07194i
\(621\) −6.89662 + 1.91484i −0.0111057 + 0.00308348i
\(622\) −11.9999 + 35.6144i −0.0192925 + 0.0572580i
\(623\) −227.725 37.3336i −0.365529 0.0599255i
\(624\) −373.618 + 61.2516i −0.598748 + 0.0981597i
\(625\) −496.959 + 167.445i −0.795135 + 0.267912i
\(626\) 9.70132 + 14.3084i 0.0154973 + 0.0228568i
\(627\) 206.310 445.932i 0.329044 0.711216i
\(628\) −201.461 + 265.018i −0.320799 + 0.422003i
\(629\) 4.29428 + 39.4853i 0.00682716 + 0.0627747i
\(630\) −16.1119 4.47344i −0.0255744 0.00710069i
\(631\) 632.130 932.322i 1.00179 1.47753i 0.127673 0.991816i \(-0.459249\pi\)
0.874118 0.485714i \(-0.161440\pi\)
\(632\) 11.2929 + 18.7689i 0.0178685 + 0.0296976i
\(633\) 402.675 21.8324i 0.636138 0.0344904i
\(634\) −14.2448 15.0381i −0.0224682 0.0237194i
\(635\) 1533.32 1165.60i 2.41467 1.83558i
\(636\) −225.207 + 49.5719i −0.354100 + 0.0779433i
\(637\) 77.5982 65.9125i 0.121818 0.103473i
\(638\) 1.96280 36.2018i 0.00307650 0.0567426i
\(639\) 135.248 + 255.104i 0.211655 + 0.399224i
\(640\) −47.2545 + 214.679i −0.0738352 + 0.335437i
\(641\) 914.909 423.282i 1.42731 0.660346i 0.454249 0.890875i \(-0.349908\pi\)
0.973066 + 0.230529i \(0.0740456\pi\)
\(642\) −3.55233 + 5.90402i −0.00553323 + 0.00919630i
\(643\) −13.3685 + 25.2156i −0.0207908 + 0.0392155i −0.893690 0.448685i \(-0.851892\pi\)
0.872899 + 0.487901i \(0.162237\pi\)
\(644\) 27.0180 + 22.9493i 0.0419535 + 0.0356356i
\(645\) 633.207 668.469i 0.981716 1.03639i
\(646\) 1.31530 12.0940i 0.00203607 0.0187214i
\(647\) 242.475 608.566i 0.374768 0.940597i −0.613751 0.789500i \(-0.710340\pi\)
0.988519 0.151097i \(-0.0482805\pi\)
\(648\) 7.24143i 0.0111750i
\(649\) −934.146 + 833.121i −1.43936 + 1.28370i
\(650\) 67.4220 0.103726
\(651\) 544.296 + 216.867i 0.836091 + 0.333129i
\(652\) 822.984 + 89.5049i 1.26224 + 0.137277i
\(653\) −165.320 156.599i −0.253169 0.239815i 0.550581 0.834782i \(-0.314406\pi\)
−0.803750 + 0.594967i \(0.797165\pi\)
\(654\) −11.1253 + 13.0977i −0.0170112 + 0.0200271i
\(655\) 248.874 + 131.945i 0.379960 + 0.201442i
\(656\) 852.718 + 513.063i 1.29987 + 0.782109i
\(657\) −1.37008 2.96137i −0.00208535 0.00450742i
\(658\) −42.4084 9.33479i −0.0644504 0.0141866i
\(659\) −577.771 + 306.315i −0.876738 + 0.464817i −0.845054 0.534681i \(-0.820432\pi\)
−0.0316841 + 0.999498i \(0.510087\pi\)
\(660\) −1256.21 68.1099i −1.90335 0.103197i
\(661\) 201.379 + 237.082i 0.304658 + 0.358671i 0.893092 0.449874i \(-0.148531\pi\)
−0.588434 + 0.808545i \(0.700255\pi\)
\(662\) −7.87007 35.7541i −0.0118883 0.0540092i
\(663\) −130.364 171.491i −0.196628 0.258660i
\(664\) 75.0056 71.0491i 0.112960 0.107002i
\(665\) −40.0682 739.014i −0.0602529 1.11130i
\(666\) 1.13805 0.684744i 0.00170879 0.00102814i
\(667\) −19.3477 13.1180i −0.0290070 0.0196672i
\(668\) −181.680 + 654.354i −0.271977 + 0.979572i
\(669\) 196.954 21.4200i 0.294400 0.0320179i
\(670\) −63.4149 48.2068i −0.0946492 0.0719504i
\(671\) 316.129 + 146.257i 0.471131 + 0.217968i
\(672\) −44.5462 + 30.2031i −0.0662890 + 0.0449451i
\(673\) 44.4082 + 131.799i 0.0659855 + 0.195838i 0.975573 0.219673i \(-0.0704992\pi\)
−0.909588 + 0.415511i \(0.863603\pi\)
\(674\) 5.16269 + 31.4910i 0.00765978 + 0.0467226i
\(675\) 40.8838 249.380i 0.0605686 0.369452i
\(676\) 77.5609 + 26.1333i 0.114735 + 0.0386588i
\(677\) −241.402 869.452i −0.356576 1.28427i −0.896682 0.442675i \(-0.854030\pi\)
0.540106 0.841597i \(-0.318384\pi\)
\(678\) 6.97505 + 17.5061i 0.0102877 + 0.0258201i
\(679\) −432.275 + 172.234i −0.636634 + 0.253658i
\(680\) −60.1026 + 16.6874i −0.0883861 + 0.0245403i
\(681\) 46.3306 137.504i 0.0680331 0.201915i
\(682\) −110.568 18.1266i −0.162123 0.0265786i
\(683\) −376.990 + 61.8043i −0.551962 + 0.0904895i −0.431307 0.902205i \(-0.641948\pi\)
−0.120654 + 0.992695i \(0.538499\pi\)
\(684\) 151.674 51.1048i 0.221745 0.0747147i
\(685\) 249.163 + 367.488i 0.363741 + 0.536478i
\(686\) 15.3813 33.2461i 0.0224217 0.0484637i
\(687\) −8.49057 + 11.1692i −0.0123589 + 0.0162579i
\(688\) −106.355 977.915i −0.154585 1.42139i
\(689\) 442.622 + 122.893i 0.642412 + 0.178365i
\(690\) 1.15699 1.70644i 0.00167680 0.00247310i
\(691\) −159.214 264.615i −0.230410 0.382945i 0.719985 0.693990i \(-0.244149\pi\)
−0.950395 + 0.311045i \(0.899321\pi\)
\(692\) −273.031 + 14.8033i −0.394554 + 0.0213921i
\(693\) −282.314 298.035i −0.407379 0.430065i
\(694\) −11.8466 + 9.00553i −0.0170700 + 0.0129763i
\(695\) 382.040 84.0934i 0.549698 0.120998i
\(696\) 18.0248 15.3104i 0.0258977 0.0219977i
\(697\) −30.6547 + 565.393i −0.0439810 + 0.811181i
\(698\) 3.32042 + 6.26298i 0.00475705 + 0.00897275i
\(699\) 64.6611 293.758i 0.0925052 0.420255i
\(700\) −1135.92 + 525.533i −1.62274 + 0.750762i
\(701\) −61.5202 + 102.247i −0.0877606 + 0.145859i −0.897628 0.440753i \(-0.854711\pi\)
0.809868 + 0.586613i \(0.199539\pi\)
\(702\) −3.37419 + 6.36439i −0.00480653 + 0.00906609i
\(703\) 44.8043 + 38.0571i 0.0637330 + 0.0541353i
\(704\) −919.558 + 970.766i −1.30619 + 1.37893i
\(705\) 107.428 987.781i 0.152380 1.40111i
\(706\) −10.7415 + 26.9591i −0.0152146 + 0.0381857i
\(707\) 938.289i 1.32714i
\(708\) −406.284 34.2841i −0.573847 0.0484238i
\(709\) 382.405 0.539358 0.269679 0.962950i \(-0.413082\pi\)
0.269679 + 0.962950i \(0.413082\pi\)
\(710\) −77.2628 30.7843i −0.108821 0.0433582i
\(711\) −81.1926 8.83023i −0.114195 0.0124194i
\(712\) 20.8986 + 19.7962i 0.0293519 + 0.0278036i
\(713\) −46.7675 + 55.0590i −0.0655926 + 0.0772216i
\(714\) −8.98013 4.76096i −0.0125772 0.00666801i
\(715\) 2147.39 + 1292.04i 3.00334 + 1.80705i
\(716\) 251.322 + 543.223i 0.351008 + 0.758692i
\(717\) 107.835 + 23.7362i 0.150397 + 0.0331048i
\(718\) 15.7355 8.34244i 0.0219158 0.0116190i
\(719\) 626.790 + 33.9835i 0.871752 + 0.0472650i 0.484585 0.874744i \(-0.338971\pi\)
0.387167 + 0.922009i \(0.373454\pi\)
\(720\) −264.625 311.541i −0.367535 0.432695i
\(721\) 33.3803 + 151.648i 0.0462973 + 0.210331i
\(722\) 11.1039 + 14.6069i 0.0153793 + 0.0202312i
\(723\) 277.935 263.274i 0.384419 0.364141i
\(724\) −47.8017 881.651i −0.0660245 1.21775i
\(725\) 707.178 425.495i 0.975418 0.586890i
\(726\) 47.5082 + 32.2113i 0.0654382 + 0.0443682i
\(727\) −220.354 + 793.642i −0.303100 + 1.09167i 0.642487 + 0.766297i \(0.277903\pi\)
−0.945587 + 0.325370i \(0.894511\pi\)
\(728\) 71.0259 7.72454i 0.0975631 0.0106106i
\(729\) 21.4945 + 16.3397i 0.0294849 + 0.0224139i
\(730\) 0.853009 + 0.394644i 0.00116851 + 0.000540608i
\(731\) 463.247 314.089i 0.633717 0.429671i
\(732\) 36.2291 + 107.524i 0.0494932 + 0.146891i
\(733\) 46.9302 + 286.262i 0.0640248 + 0.390534i 0.999327 + 0.0366839i \(0.0116795\pi\)
−0.935302 + 0.353850i \(0.884872\pi\)
\(734\) −0.782940 + 4.77573i −0.00106668 + 0.00650644i
\(735\) 104.168 + 35.0982i 0.141725 + 0.0477527i
\(736\) −1.77527 6.39395i −0.00241205 0.00868743i
\(737\) −723.858 1816.75i −0.982168 2.46506i
\(738\) 17.5897 7.00838i 0.0238343 0.00949645i
\(739\) 479.268 133.068i 0.648535 0.180065i 0.0723439 0.997380i \(-0.476952\pi\)
0.576191 + 0.817315i \(0.304538\pi\)
\(740\) 48.0604 142.638i 0.0649465 0.192754i
\(741\) −314.633 51.5814i −0.424605 0.0696105i
\(742\) 21.3890 3.50655i 0.0288262 0.00472581i
\(743\) 320.958 108.143i 0.431976 0.145550i −0.0949097 0.995486i \(-0.530256\pi\)
0.526885 + 0.849936i \(0.323360\pi\)
\(744\) −41.0158 60.4937i −0.0551287 0.0813088i
\(745\) −121.418 + 262.440i −0.162977 + 0.352268i
\(746\) 38.2745 50.3493i 0.0513063 0.0674923i
\(747\) 41.6487 + 382.953i 0.0557546 + 0.512655i
\(748\) −736.840 204.583i −0.985081 0.273506i
\(749\) −142.992 + 210.898i −0.190911 + 0.281573i
\(750\) 18.2369 + 30.3100i 0.0243159 + 0.0404134i
\(751\) −1057.98 + 57.3619i −1.40876 + 0.0763807i −0.742753 0.669565i \(-0.766481\pi\)
−0.666007 + 0.745946i \(0.731998\pi\)
\(752\) −729.995 770.647i −0.970739 1.02480i
\(753\) 132.319 100.586i 0.175722 0.133581i
\(754\) −22.9757 + 5.05734i −0.0304718 + 0.00670735i
\(755\) 22.0122 18.6973i 0.0291552 0.0247647i
\(756\) 7.23965 133.527i 0.00957626 0.176624i
\(757\) 591.620 + 1115.91i 0.781532 + 1.47413i 0.877933 + 0.478784i \(0.158922\pi\)
−0.0964007 + 0.995343i \(0.530733\pi\)
\(758\) 10.6358 48.3189i 0.0140314 0.0637452i
\(759\) 45.9375 21.2529i 0.0605237 0.0280012i
\(760\) −47.5967 + 79.1064i −0.0626273 + 0.104087i
\(761\) 691.735 1304.75i 0.908982 1.71452i 0.240722 0.970594i \(-0.422616\pi\)
0.668260 0.743928i \(-0.267040\pi\)
\(762\) −29.8387 25.3452i −0.0391584 0.0332614i
\(763\) −437.032 + 461.369i −0.572781 + 0.604677i
\(764\) 70.8612 651.558i 0.0927503 0.852825i
\(765\) 86.0839 216.054i 0.112528 0.282424i
\(766\) 20.3826i 0.0266092i
\(767\) 683.071 + 439.442i 0.890576 + 0.572936i
\(768\) −432.206 −0.562768
\(769\) 17.6535 + 7.03380i 0.0229564 + 0.00914668i 0.381588 0.924332i \(-0.375377\pi\)
−0.358632 + 0.933479i \(0.616757\pi\)
\(770\) 117.555 + 12.7849i 0.152669 + 0.0166037i
\(771\) 153.036 + 144.963i 0.198490 + 0.188020i
\(772\) 584.705 688.368i 0.757390 0.891668i
\(773\) 220.428 + 116.864i 0.285160 + 0.151182i 0.604849