Properties

Label 230.3.i.a.19.3
Level $230$
Weight $3$
Character 230.19
Analytic conductor $6.267$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 230.i (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.26704608029\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 19.3
Character \(\chi\) \(=\) 230.19
Dual form 230.3.i.a.109.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.28641 + 0.587486i) q^{2} +(-0.859820 - 2.92828i) q^{3} +(1.30972 - 1.51150i) q^{4} +(2.44584 - 4.36095i) q^{5} +(2.82640 + 3.26184i) q^{6} +(1.96650 + 13.6773i) q^{7} +(-0.796860 + 2.71386i) q^{8} +(-0.264236 + 0.169814i) q^{9} +O(q^{10})\) \(q+(-1.28641 + 0.587486i) q^{2} +(-0.859820 - 2.92828i) q^{3} +(1.30972 - 1.51150i) q^{4} +(2.44584 - 4.36095i) q^{5} +(2.82640 + 3.26184i) q^{6} +(1.96650 + 13.6773i) q^{7} +(-0.796860 + 2.71386i) q^{8} +(-0.264236 + 0.169814i) q^{9} +(-0.584368 + 7.04688i) q^{10} +(6.64888 + 3.03644i) q^{11} +(-5.55221 - 2.53561i) q^{12} +(21.6520 + 3.11308i) q^{13} +(-10.5650 - 16.4394i) q^{14} +(-14.8730 - 3.41247i) q^{15} +(-0.569259 - 3.95929i) q^{16} +(-17.9452 - 20.7099i) q^{17} +(0.240154 - 0.373686i) q^{18} +(3.89374 + 3.37394i) q^{19} +(-3.38820 - 9.40851i) q^{20} +(38.3602 - 17.5185i) q^{21} -10.3371 q^{22} +(9.09563 - 21.1251i) q^{23} +8.63208 q^{24} +(-13.0357 - 21.3324i) q^{25} +(-29.6823 + 8.71551i) q^{26} +(-20.0338 - 17.3594i) q^{27} +(23.2488 + 14.9411i) q^{28} +(18.1204 + 20.9120i) q^{29} +(21.1377 - 4.34785i) q^{30} +(14.0578 + 4.12775i) q^{31} +(3.05833 + 4.75885i) q^{32} +(3.17471 - 22.0806i) q^{33} +(35.2517 + 16.0989i) q^{34} +(64.4559 + 24.8767i) q^{35} +(-0.0894017 + 0.621802i) q^{36} +(25.9243 - 16.6605i) q^{37} +(-6.99110 - 2.05277i) q^{38} +(-9.50083 - 66.0797i) q^{39} +(9.88599 + 10.1127i) q^{40} +(17.5368 + 11.2702i) q^{41} +(-39.0552 + 45.0721i) q^{42} +(-5.99830 + 1.76126i) q^{43} +(13.2978 - 6.07289i) q^{44} +(0.0942719 + 1.56766i) q^{45} +(0.709936 + 32.5192i) q^{46} +47.2251i q^{47} +(-11.1044 + 5.07122i) q^{48} +(-136.187 + 39.9881i) q^{49} +(29.3018 + 19.7839i) q^{50} +(-45.2146 + 70.3552i) q^{51} +(33.0635 - 28.6497i) q^{52} +(-7.47033 - 51.9573i) q^{53} +(35.9701 + 10.5618i) q^{54} +(29.5039 - 21.5688i) q^{55} +(-38.6853 - 5.56211i) q^{56} +(6.53193 - 14.3029i) q^{57} +(-35.5958 - 16.2560i) q^{58} +(5.58871 - 38.8703i) q^{59} +(-24.6375 + 18.0112i) q^{60} +(-0.144207 + 0.491123i) q^{61} +(-20.5092 + 2.94877i) q^{62} +(-2.84223 - 3.28010i) q^{63} +(-6.73003 - 4.32513i) q^{64} +(66.5333 - 86.8091i) q^{65} +(8.88803 + 30.2698i) q^{66} +(22.6832 + 49.6692i) q^{67} -54.8061 q^{68} +(-69.6807 - 8.47077i) q^{69} +(-97.5316 + 5.86511i) q^{70} +(-16.7283 - 36.6299i) q^{71} +(-0.250292 - 0.852417i) q^{72} +(-49.7947 - 43.1473i) q^{73} +(-23.5615 + 36.6624i) q^{74} +(-51.2587 + 56.5142i) q^{75} +(10.1994 - 1.46646i) q^{76} +(-28.4554 + 96.9101i) q^{77} +(51.0429 + 79.4242i) q^{78} +(112.467 + 16.1703i) q^{79} +(-18.6586 - 7.20127i) q^{80} +(-34.7820 + 76.1619i) q^{81} +(-29.1806 - 4.19554i) q^{82} +(62.5752 - 40.2147i) q^{83} +(23.7619 - 80.9257i) q^{84} +(-134.206 + 27.6051i) q^{85} +(6.68159 - 5.78963i) q^{86} +(45.6559 - 71.0420i) q^{87} +(-13.5387 + 15.6245i) q^{88} +(9.74432 + 33.1861i) q^{89} +(-1.04225 - 1.96127i) q^{90} +302.263i q^{91} +(-20.0178 - 41.4160i) q^{92} -44.7143i q^{93} +(-27.7441 - 60.7510i) q^{94} +(24.2370 - 8.72826i) q^{95} +(11.3056 - 13.0474i) q^{96} +(-50.5581 - 32.4917i) q^{97} +(151.700 - 131.449i) q^{98} +(-2.27251 + 0.326737i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q + 48 q^{4} - 8 q^{6} + 96 q^{9} + O(q^{10}) \) \( 240 q + 48 q^{4} - 8 q^{6} + 96 q^{9} + 154 q^{15} - 96 q^{16} + 44 q^{20} + 16 q^{24} - 84 q^{25} + 32 q^{26} - 100 q^{29} - 352 q^{30} + 124 q^{31} + 28 q^{35} - 192 q^{36} + 72 q^{39} + 116 q^{41} - 148 q^{46} - 188 q^{49} + 144 q^{50} + 324 q^{54} + 796 q^{55} - 264 q^{56} + 400 q^{59} + 176 q^{60} - 616 q^{61} + 192 q^{64} + 462 q^{65} - 176 q^{66} + 120 q^{69} - 504 q^{70} + 464 q^{71} - 528 q^{74} - 934 q^{75} - 968 q^{79} - 264 q^{80} + 664 q^{81} - 352 q^{84} - 1196 q^{85} + 396 q^{86} + 376 q^{94} + 126 q^{95} - 32 q^{96} - 3300 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(-1\) \(e\left(\frac{15}{22}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.28641 + 0.587486i −0.643207 + 0.293743i
\(3\) −0.859820 2.92828i −0.286607 0.976092i −0.969401 0.245482i \(-0.921054\pi\)
0.682795 0.730610i \(-0.260764\pi\)
\(4\) 1.30972 1.51150i 0.327430 0.377875i
\(5\) 2.44584 4.36095i 0.489168 0.872190i
\(6\) 2.82640 + 3.26184i 0.471067 + 0.543641i
\(7\) 1.96650 + 13.6773i 0.280929 + 1.95390i 0.299560 + 0.954078i \(0.403160\pi\)
−0.0186309 + 0.999826i \(0.505931\pi\)
\(8\) −0.796860 + 2.71386i −0.0996075 + 0.339232i
\(9\) −0.264236 + 0.169814i −0.0293596 + 0.0188683i
\(10\) −0.584368 + 7.04688i −0.0584368 + 0.704688i
\(11\) 6.64888 + 3.03644i 0.604444 + 0.276040i 0.694038 0.719938i \(-0.255830\pi\)
−0.0895944 + 0.995978i \(0.528557\pi\)
\(12\) −5.55221 2.53561i −0.462684 0.211301i
\(13\) 21.6520 + 3.11308i 1.66554 + 0.239468i 0.909692 0.415283i \(-0.136317\pi\)
0.755845 + 0.654751i \(0.227227\pi\)
\(14\) −10.5650 16.4394i −0.754641 1.17424i
\(15\) −14.8730 3.41247i −0.991536 0.227498i
\(16\) −0.569259 3.95929i −0.0355787 0.247455i
\(17\) −17.9452 20.7099i −1.05560 1.21823i −0.975168 0.221467i \(-0.928916\pi\)
−0.0804317 0.996760i \(-0.525630\pi\)
\(18\) 0.240154 0.373686i 0.0133419 0.0207604i
\(19\) 3.89374 + 3.37394i 0.204934 + 0.177576i 0.751281 0.659983i \(-0.229437\pi\)
−0.546347 + 0.837559i \(0.683982\pi\)
\(20\) −3.38820 9.40851i −0.169410 0.470426i
\(21\) 38.3602 17.5185i 1.82667 0.834214i
\(22\) −10.3371 −0.469867
\(23\) 9.09563 21.1251i 0.395462 0.918482i
\(24\) 8.63208 0.359670
\(25\) −13.0357 21.3324i −0.521429 0.853294i
\(26\) −29.6823 + 8.71551i −1.14163 + 0.335212i
\(27\) −20.0338 17.3594i −0.741992 0.642940i
\(28\) 23.2488 + 14.9411i 0.830316 + 0.533612i
\(29\) 18.1204 + 20.9120i 0.624840 + 0.721104i 0.976619 0.214980i \(-0.0689685\pi\)
−0.351779 + 0.936083i \(0.614423\pi\)
\(30\) 21.1377 4.34785i 0.704589 0.144928i
\(31\) 14.0578 + 4.12775i 0.453478 + 0.133153i 0.500492 0.865741i \(-0.333152\pi\)
−0.0470141 + 0.998894i \(0.514971\pi\)
\(32\) 3.05833 + 4.75885i 0.0955727 + 0.148714i
\(33\) 3.17471 22.0806i 0.0962032 0.669108i
\(34\) 35.2517 + 16.0989i 1.03681 + 0.473497i
\(35\) 64.4559 + 24.8767i 1.84160 + 0.710764i
\(36\) −0.0894017 + 0.621802i −0.00248338 + 0.0172723i
\(37\) 25.9243 16.6605i 0.700656 0.450284i −0.141204 0.989981i \(-0.545097\pi\)
0.841860 + 0.539696i \(0.181461\pi\)
\(38\) −6.99110 2.05277i −0.183976 0.0540203i
\(39\) −9.50083 66.0797i −0.243611 1.69435i
\(40\) 9.88599 + 10.1127i 0.247150 + 0.252818i
\(41\) 17.5368 + 11.2702i 0.427726 + 0.274883i 0.736742 0.676174i \(-0.236363\pi\)
−0.309016 + 0.951057i \(0.600000\pi\)
\(42\) −39.0552 + 45.0721i −0.929885 + 1.07315i
\(43\) −5.99830 + 1.76126i −0.139495 + 0.0409596i −0.350735 0.936475i \(-0.614068\pi\)
0.211239 + 0.977434i \(0.432250\pi\)
\(44\) 13.2978 6.07289i 0.302222 0.138020i
\(45\) 0.0942719 + 1.56766i 0.00209493 + 0.0348369i
\(46\) 0.709936 + 32.5192i 0.0154334 + 0.706938i
\(47\) 47.2251i 1.00479i 0.864638 + 0.502395i \(0.167548\pi\)
−0.864638 + 0.502395i \(0.832452\pi\)
\(48\) −11.1044 + 5.07122i −0.231342 + 0.105650i
\(49\) −136.187 + 39.9881i −2.77933 + 0.816084i
\(50\) 29.3018 + 19.7839i 0.586036 + 0.395679i
\(51\) −45.2146 + 70.3552i −0.886560 + 1.37951i
\(52\) 33.0635 28.6497i 0.635836 0.550955i
\(53\) −7.47033 51.9573i −0.140950 0.980326i −0.930409 0.366523i \(-0.880548\pi\)
0.789459 0.613803i \(-0.210361\pi\)
\(54\) 35.9701 + 10.5618i 0.666114 + 0.195589i
\(55\) 29.5039 21.5688i 0.536434 0.392160i
\(56\) −38.6853 5.56211i −0.690809 0.0993234i
\(57\) 6.53193 14.3029i 0.114595 0.250929i
\(58\) −35.5958 16.2560i −0.613720 0.280277i
\(59\) 5.58871 38.8703i 0.0947239 0.658819i −0.886038 0.463612i \(-0.846553\pi\)
0.980762 0.195207i \(-0.0625379\pi\)
\(60\) −24.6375 + 18.0112i −0.410625 + 0.300187i
\(61\) −0.144207 + 0.491123i −0.00236405 + 0.00805120i −0.960667 0.277704i \(-0.910426\pi\)
0.958303 + 0.285756i \(0.0922446\pi\)
\(62\) −20.5092 + 2.94877i −0.330793 + 0.0475609i
\(63\) −2.84223 3.28010i −0.0451147 0.0520652i
\(64\) −6.73003 4.32513i −0.105157 0.0675801i
\(65\) 66.5333 86.8091i 1.02359 1.33552i
\(66\) 8.88803 + 30.2698i 0.134667 + 0.458634i
\(67\) 22.6832 + 49.6692i 0.338555 + 0.741332i 0.999962 0.00869505i \(-0.00276776\pi\)
−0.661407 + 0.750027i \(0.730040\pi\)
\(68\) −54.8061 −0.805973
\(69\) −69.6807 8.47077i −1.00987 0.122765i
\(70\) −97.5316 + 5.86511i −1.39331 + 0.0837873i
\(71\) −16.7283 36.6299i −0.235610 0.515915i 0.754484 0.656318i \(-0.227887\pi\)
−0.990094 + 0.140404i \(0.955160\pi\)
\(72\) −0.250292 0.852417i −0.00347628 0.0118391i
\(73\) −49.7947 43.1473i −0.682119 0.591060i 0.243324 0.969945i \(-0.421762\pi\)
−0.925444 + 0.378885i \(0.876307\pi\)
\(74\) −23.5615 + 36.6624i −0.318399 + 0.495438i
\(75\) −51.2587 + 56.5142i −0.683449 + 0.753523i
\(76\) 10.1994 1.46646i 0.134203 0.0192955i
\(77\) −28.4554 + 96.9101i −0.369550 + 1.25857i
\(78\) 51.0429 + 79.4242i 0.654396 + 1.01826i
\(79\) 112.467 + 16.1703i 1.42363 + 0.204687i 0.810706 0.585453i \(-0.199083\pi\)
0.612926 + 0.790141i \(0.289992\pi\)
\(80\) −18.6586 7.20127i −0.233232 0.0900159i
\(81\) −34.7820 + 76.1619i −0.429407 + 0.940270i
\(82\) −29.1806 4.19554i −0.355861 0.0511651i
\(83\) 62.5752 40.2147i 0.753918 0.484514i −0.106367 0.994327i \(-0.533922\pi\)
0.860285 + 0.509813i \(0.170285\pi\)
\(84\) 23.7619 80.9257i 0.282880 0.963401i
\(85\) −134.206 + 27.6051i −1.57889 + 0.324765i
\(86\) 6.68159 5.78963i 0.0776929 0.0673212i
\(87\) 45.6559 71.0420i 0.524781 0.816575i
\(88\) −13.5387 + 15.6245i −0.153849 + 0.177551i
\(89\) 9.74432 + 33.1861i 0.109487 + 0.372878i 0.995949 0.0899240i \(-0.0286624\pi\)
−0.886462 + 0.462802i \(0.846844\pi\)
\(90\) −1.04225 1.96127i −0.0115806 0.0217919i
\(91\) 302.263i 3.32157i
\(92\) −20.0178 41.4160i −0.217585 0.450174i
\(93\) 44.7143i 0.480799i
\(94\) −27.7441 60.7510i −0.295150 0.646288i
\(95\) 24.2370 8.72826i 0.255127 0.0918764i
\(96\) 11.3056 13.0474i 0.117767 0.135910i
\(97\) −50.5581 32.4917i −0.521218 0.334966i 0.253436 0.967352i \(-0.418439\pi\)
−0.774654 + 0.632386i \(0.782076\pi\)
\(98\) 151.700 131.449i 1.54796 1.34132i
\(99\) −2.27251 + 0.326737i −0.0229546 + 0.00330038i
\(100\) −49.3170 8.23595i −0.493170 0.0823595i
\(101\) −33.4892 + 21.5222i −0.331576 + 0.213091i −0.695826 0.718210i \(-0.744962\pi\)
0.364250 + 0.931301i \(0.381325\pi\)
\(102\) 16.8320 117.069i 0.165019 1.14773i
\(103\) −62.9821 + 137.912i −0.611476 + 1.33895i 0.310083 + 0.950709i \(0.399643\pi\)
−0.921560 + 0.388237i \(0.873084\pi\)
\(104\) −25.7021 + 56.2797i −0.247135 + 0.541151i
\(105\) 17.4256 210.134i 0.165958 2.00128i
\(106\) 40.1341 + 62.4499i 0.378624 + 0.589150i
\(107\) −4.29192 1.26022i −0.0401114 0.0117778i 0.261615 0.965172i \(-0.415745\pi\)
−0.301727 + 0.953394i \(0.597563\pi\)
\(108\) −52.4774 + 7.54511i −0.485902 + 0.0698621i
\(109\) −77.9021 + 67.5025i −0.714698 + 0.619289i −0.934378 0.356283i \(-0.884044\pi\)
0.219680 + 0.975572i \(0.429499\pi\)
\(110\) −25.2828 + 45.0795i −0.229844 + 0.409813i
\(111\) −71.0768 61.5884i −0.640331 0.554850i
\(112\) 53.0330 15.5719i 0.473509 0.139035i
\(113\) 29.0313 + 63.5697i 0.256914 + 0.562563i 0.993507 0.113773i \(-0.0362937\pi\)
−0.736593 + 0.676337i \(0.763566\pi\)
\(114\) 22.2369i 0.195060i
\(115\) −69.8790 91.3342i −0.607643 0.794210i
\(116\) 55.3411 0.477078
\(117\) −6.24988 + 2.85423i −0.0534178 + 0.0243951i
\(118\) 15.6464 + 53.2866i 0.132596 + 0.451582i
\(119\) 247.966 286.168i 2.08375 2.40478i
\(120\) 21.1127 37.6440i 0.175939 0.313700i
\(121\) −44.2505 51.0678i −0.365707 0.422048i
\(122\) −0.103018 0.716507i −0.000844411 0.00587301i
\(123\) 17.9238 61.0429i 0.145722 0.496284i
\(124\) 24.6509 15.8422i 0.198798 0.127760i
\(125\) −124.913 + 4.67263i −0.999301 + 0.0373810i
\(126\) 5.58329 + 2.54981i 0.0443119 + 0.0202365i
\(127\) 152.178 + 69.4975i 1.19825 + 0.547224i 0.911707 0.410842i \(-0.134765\pi\)
0.286547 + 0.958066i \(0.407492\pi\)
\(128\) 11.1986 + 1.61011i 0.0874887 + 0.0125790i
\(129\) 10.3149 + 16.0503i 0.0799606 + 0.124421i
\(130\) −34.5903 + 150.760i −0.266079 + 1.15969i
\(131\) 20.2473 + 140.823i 0.154560 + 1.07499i 0.908452 + 0.417989i \(0.137265\pi\)
−0.753892 + 0.656998i \(0.771826\pi\)
\(132\) −29.2168 33.7180i −0.221339 0.255439i
\(133\) −38.4895 + 59.8908i −0.289395 + 0.450307i
\(134\) −58.3599 50.5692i −0.435522 0.377382i
\(135\) −124.703 + 44.9081i −0.923725 + 0.332652i
\(136\) 70.5034 32.1978i 0.518407 0.236749i
\(137\) 127.438 0.930201 0.465101 0.885258i \(-0.346018\pi\)
0.465101 + 0.885258i \(0.346018\pi\)
\(138\) 94.6147 30.0395i 0.685614 0.217678i
\(139\) −179.067 −1.28825 −0.644125 0.764921i \(-0.722778\pi\)
−0.644125 + 0.764921i \(0.722778\pi\)
\(140\) 122.020 64.8434i 0.871574 0.463167i
\(141\) 138.288 40.6051i 0.980768 0.287979i
\(142\) 43.0391 + 37.2936i 0.303092 + 0.262631i
\(143\) 134.509 + 86.4435i 0.940621 + 0.604500i
\(144\) 0.822762 + 0.949518i 0.00571363 + 0.00659388i
\(145\) 135.516 27.8745i 0.934591 0.192238i
\(146\) 89.4050 + 26.2517i 0.612363 + 0.179806i
\(147\) 234.193 + 364.411i 1.59315 + 2.47898i
\(148\) 8.77121 61.0051i 0.0592650 0.412197i
\(149\) 49.9873 + 22.8284i 0.335485 + 0.153211i 0.576033 0.817426i \(-0.304600\pi\)
−0.240548 + 0.970637i \(0.577327\pi\)
\(150\) 32.7386 102.814i 0.218257 0.685430i
\(151\) 14.7604 102.661i 0.0977512 0.679875i −0.880742 0.473596i \(-0.842956\pi\)
0.978493 0.206279i \(-0.0661353\pi\)
\(152\) −12.2592 + 7.87848i −0.0806524 + 0.0518321i
\(153\) 8.25860 + 2.42494i 0.0539778 + 0.0158493i
\(154\) −20.3279 141.384i −0.131999 0.918076i
\(155\) 52.3841 51.2096i 0.337962 0.330385i
\(156\) −112.323 72.1855i −0.720018 0.462728i
\(157\) 35.9478 41.4860i 0.228967 0.264242i −0.629628 0.776897i \(-0.716793\pi\)
0.858595 + 0.512655i \(0.171338\pi\)
\(158\) −154.179 + 45.2710i −0.975815 + 0.286525i
\(159\) −145.722 + 66.5491i −0.916492 + 0.418548i
\(160\) 28.2333 1.69782i 0.176458 0.0106114i
\(161\) 306.821 + 82.8614i 1.90572 + 0.514667i
\(162\) 118.410i 0.730923i
\(163\) −108.526 + 49.5621i −0.665803 + 0.304062i −0.719497 0.694496i \(-0.755628\pi\)
0.0536943 + 0.998557i \(0.482900\pi\)
\(164\) 40.0032 11.7460i 0.243922 0.0716219i
\(165\) −88.5274 67.8503i −0.536530 0.411214i
\(166\) −56.8721 + 88.4947i −0.342603 + 0.533101i
\(167\) −183.175 + 158.722i −1.09685 + 0.950430i −0.998997 0.0447703i \(-0.985744\pi\)
−0.0978576 + 0.995200i \(0.531199\pi\)
\(168\) 16.9750 + 118.064i 0.101042 + 0.702761i
\(169\) 296.963 + 87.1961i 1.75718 + 0.515953i
\(170\) 156.426 114.355i 0.920156 0.672679i
\(171\) −1.60181 0.230306i −0.00936731 0.00134682i
\(172\) −5.19396 + 11.3732i −0.0301975 + 0.0661232i
\(173\) −257.749 117.710i −1.48988 0.680406i −0.506547 0.862213i \(-0.669078\pi\)
−0.983334 + 0.181807i \(0.941805\pi\)
\(174\) −16.9963 + 118.212i −0.0976797 + 0.679377i
\(175\) 266.135 220.244i 1.52077 1.25854i
\(176\) 8.23721 28.0533i 0.0468023 0.159394i
\(177\) −118.628 + 17.0562i −0.670217 + 0.0963627i
\(178\) −32.0316 36.9664i −0.179953 0.207677i
\(179\) −260.792 167.601i −1.45694 0.936316i −0.998876 0.0473948i \(-0.984908\pi\)
−0.458060 0.888921i \(-0.651456\pi\)
\(180\) 2.49299 + 1.91070i 0.0138499 + 0.0106150i
\(181\) 27.9170 + 95.0766i 0.154238 + 0.525285i 0.999965 0.00832979i \(-0.00265148\pi\)
−0.845728 + 0.533615i \(0.820833\pi\)
\(182\) −177.575 388.835i −0.975688 2.13646i
\(183\) 1.56214 0.00853626
\(184\) 50.0825 + 41.5180i 0.272188 + 0.225641i
\(185\) −9.24903 153.803i −0.0499948 0.831369i
\(186\) 26.2690 + 57.5211i 0.141231 + 0.309253i
\(187\) −56.4312 192.187i −0.301771 1.02774i
\(188\) 71.3807 + 61.8517i 0.379685 + 0.328999i
\(189\) 198.033 308.146i 1.04780 1.63040i
\(190\) −26.0511 + 25.4671i −0.137111 + 0.134037i
\(191\) −80.3355 + 11.5505i −0.420605 + 0.0604739i −0.349368 0.936986i \(-0.613604\pi\)
−0.0712369 + 0.997459i \(0.522695\pi\)
\(192\) −6.87856 + 23.4262i −0.0358258 + 0.122012i
\(193\) −78.7687 122.567i −0.408128 0.635060i 0.574962 0.818180i \(-0.305017\pi\)
−0.983091 + 0.183120i \(0.941380\pi\)
\(194\) 84.1271 + 12.0957i 0.433645 + 0.0623487i
\(195\) −311.408 120.188i −1.59696 0.616347i
\(196\) −117.925 + 258.220i −0.601658 + 1.31745i
\(197\) 225.169 + 32.3745i 1.14299 + 0.164337i 0.687693 0.726002i \(-0.258624\pi\)
0.455298 + 0.890339i \(0.349533\pi\)
\(198\) 2.73143 1.75538i 0.0137951 0.00886558i
\(199\) 11.1835 38.0876i 0.0561986 0.191395i −0.926609 0.376025i \(-0.877291\pi\)
0.982808 + 0.184630i \(0.0591088\pi\)
\(200\) 68.2806 18.3782i 0.341403 0.0918910i
\(201\) 125.942 109.129i 0.626576 0.542932i
\(202\) 30.4370 47.3609i 0.150678 0.234460i
\(203\) −250.387 + 288.962i −1.23343 + 1.42346i
\(204\) 47.1234 + 160.488i 0.230997 + 0.786704i
\(205\) 92.0409 48.9119i 0.448980 0.238594i
\(206\) 214.412i 1.04084i
\(207\) 1.18395 + 7.12658i 0.00571955 + 0.0344279i
\(208\) 87.4985i 0.420666i
\(209\) 15.6442 + 34.2561i 0.0748527 + 0.163905i
\(210\) 101.034 + 280.557i 0.481116 + 1.33598i
\(211\) −201.450 + 232.486i −0.954741 + 1.10183i 0.0399789 + 0.999201i \(0.487271\pi\)
−0.994720 + 0.102629i \(0.967275\pi\)
\(212\) −88.3175 56.7582i −0.416592 0.267727i
\(213\) −92.8793 + 80.4803i −0.436053 + 0.377842i
\(214\) 6.26155 0.900274i 0.0292596 0.00420689i
\(215\) −6.99012 + 30.4661i −0.0325122 + 0.141703i
\(216\) 63.0750 40.5358i 0.292014 0.187666i
\(217\) −28.8118 + 200.391i −0.132773 + 0.923459i
\(218\) 60.5575 132.603i 0.277787 0.608269i
\(219\) −83.5329 + 182.912i −0.381429 + 0.835213i
\(220\) 6.04066 72.8442i 0.0274576 0.331110i
\(221\) −324.077 504.274i −1.46641 2.28178i
\(222\) 127.616 + 37.4716i 0.574849 + 0.168791i
\(223\) −55.5639 + 7.98888i −0.249165 + 0.0358246i −0.265766 0.964038i \(-0.585625\pi\)
0.0166004 + 0.999862i \(0.494716\pi\)
\(224\) −59.0741 + 51.1880i −0.263724 + 0.228518i
\(225\) 7.06705 + 3.42313i 0.0314091 + 0.0152139i
\(226\) −74.6925 64.7214i −0.330498 0.286378i
\(227\) −94.9466 + 27.8788i −0.418267 + 0.122814i −0.484092 0.875017i \(-0.660850\pi\)
0.0658254 + 0.997831i \(0.479032\pi\)
\(228\) −13.0639 28.6058i −0.0572976 0.125464i
\(229\) 227.381i 0.992930i 0.868057 + 0.496465i \(0.165369\pi\)
−0.868057 + 0.496465i \(0.834631\pi\)
\(230\) 143.551 + 76.4407i 0.624134 + 0.332351i
\(231\) 308.246 1.33440
\(232\) −71.1916 + 32.5121i −0.306860 + 0.140138i
\(233\) 8.51766 + 29.0085i 0.0365565 + 0.124500i 0.975750 0.218889i \(-0.0702433\pi\)
−0.939193 + 0.343389i \(0.888425\pi\)
\(234\) 6.36312 7.34343i 0.0271928 0.0313822i
\(235\) 205.946 + 115.505i 0.876367 + 0.491511i
\(236\) −51.4328 59.3566i −0.217936 0.251511i
\(237\) −49.3502 343.238i −0.208229 1.44826i
\(238\) −150.867 + 513.807i −0.633897 + 2.15885i
\(239\) −149.403 + 96.0153i −0.625116 + 0.401738i −0.814499 0.580166i \(-0.802988\pi\)
0.189382 + 0.981903i \(0.439351\pi\)
\(240\) −5.04431 + 60.8292i −0.0210180 + 0.253455i
\(241\) −222.930 101.809i −0.925022 0.422444i −0.104803 0.994493i \(-0.533421\pi\)
−0.820219 + 0.572049i \(0.806149\pi\)
\(242\) 86.9260 + 39.6978i 0.359199 + 0.164040i
\(243\) 16.7811 + 2.41276i 0.0690579 + 0.00992903i
\(244\) 0.553461 + 0.861203i 0.00226828 + 0.00352952i
\(245\) −158.706 + 691.709i −0.647778 + 2.82330i
\(246\) 12.8044 + 89.0564i 0.0520503 + 0.362018i
\(247\) 73.8038 + 85.1741i 0.298801 + 0.344834i
\(248\) −22.4042 + 34.8617i −0.0903396 + 0.140571i
\(249\) −171.563 148.660i −0.689008 0.597029i
\(250\) 157.944 79.3953i 0.631777 0.317581i
\(251\) 104.395 47.6757i 0.415917 0.189943i −0.196455 0.980513i \(-0.562943\pi\)
0.612372 + 0.790570i \(0.290216\pi\)
\(252\) −8.68040 −0.0344460
\(253\) 124.621 112.840i 0.492573 0.446007i
\(254\) −236.593 −0.931469
\(255\) 196.228 + 369.256i 0.769521 + 1.44806i
\(256\) −15.3519 + 4.50772i −0.0599683 + 0.0176083i
\(257\) −320.879 278.043i −1.24856 1.08188i −0.993367 0.114989i \(-0.963317\pi\)
−0.255190 0.966891i \(-0.582138\pi\)
\(258\) −22.6986 14.5875i −0.0879790 0.0565407i
\(259\) 278.851 + 321.812i 1.07665 + 1.24252i
\(260\) −44.0718 214.261i −0.169507 0.824080i
\(261\) −8.33921 2.44861i −0.0319510 0.00938166i
\(262\) −108.778 169.262i −0.415184 0.646038i
\(263\) −10.5718 + 73.5284i −0.0401969 + 0.279576i −0.999999 0.00110056i \(-0.999650\pi\)
0.959802 + 0.280676i \(0.0905588\pi\)
\(264\) 57.3937 + 26.2108i 0.217400 + 0.0992834i
\(265\) −244.854 94.5015i −0.923979 0.356609i
\(266\) 14.3284 99.6563i 0.0538662 0.374648i
\(267\) 88.7998 57.0681i 0.332583 0.213738i
\(268\) 104.784 + 30.7673i 0.390984 + 0.114803i
\(269\) −15.6596 108.915i −0.0582139 0.404887i −0.998005 0.0631369i \(-0.979890\pi\)
0.939791 0.341750i \(-0.111020\pi\)
\(270\) 134.037 131.031i 0.496432 0.485302i
\(271\) −98.4478 63.2686i −0.363276 0.233463i 0.346250 0.938142i \(-0.387455\pi\)
−0.709527 + 0.704679i \(0.751091\pi\)
\(272\) −71.7808 + 82.8394i −0.263900 + 0.304557i
\(273\) 885.110 259.892i 3.24216 0.951985i
\(274\) −163.937 + 74.8677i −0.598312 + 0.273240i
\(275\) −21.8986 181.419i −0.0796312 0.659704i
\(276\) −104.066 + 94.2280i −0.377050 + 0.341406i
\(277\) 326.807i 1.17981i 0.807474 + 0.589904i \(0.200834\pi\)
−0.807474 + 0.589904i \(0.799166\pi\)
\(278\) 230.354 105.199i 0.828611 0.378414i
\(279\) −4.41554 + 1.29652i −0.0158263 + 0.00464702i
\(280\) −118.874 + 155.101i −0.424551 + 0.553931i
\(281\) −70.6727 + 109.969i −0.251504 + 0.391348i −0.943932 0.330139i \(-0.892905\pi\)
0.692428 + 0.721487i \(0.256541\pi\)
\(282\) −154.041 + 133.477i −0.546245 + 0.473324i
\(283\) −17.2364 119.882i −0.0609059 0.423610i −0.997348 0.0727864i \(-0.976811\pi\)
0.936442 0.350823i \(-0.114098\pi\)
\(284\) −77.2756 22.6902i −0.272097 0.0798949i
\(285\) −46.3983 63.4681i −0.162801 0.222695i
\(286\) −223.818 32.1802i −0.782581 0.112518i
\(287\) −119.660 + 262.019i −0.416934 + 0.912959i
\(288\) −1.61624 0.738113i −0.00561195 0.00256289i
\(289\) −65.7392 + 457.226i −0.227471 + 1.58210i
\(290\) −157.953 + 115.472i −0.544667 + 0.398178i
\(291\) −51.6739 + 175.985i −0.177574 + 0.604760i
\(292\) −130.434 + 18.7536i −0.446693 + 0.0642248i
\(293\) 222.889 + 257.228i 0.760715 + 0.877912i 0.995561 0.0941209i \(-0.0300040\pi\)
−0.234846 + 0.972033i \(0.575459\pi\)
\(294\) −515.355 331.198i −1.75291 1.12652i
\(295\) −155.842 119.443i −0.528279 0.404891i
\(296\) 24.5562 + 83.6308i 0.0829602 + 0.282536i
\(297\) −80.4916 176.252i −0.271015 0.593441i
\(298\) −77.7157 −0.260791
\(299\) 262.703 429.085i 0.878604 1.43507i
\(300\) 18.2866 + 151.495i 0.0609554 + 0.504985i
\(301\) −35.8850 78.5772i −0.119219 0.261054i
\(302\) 41.3239 + 140.736i 0.136834 + 0.466014i
\(303\) 91.8177 + 79.5605i 0.303029 + 0.262576i
\(304\) 11.1419 17.3371i 0.0366508 0.0570298i
\(305\) 1.78906 + 1.83009i 0.00586576 + 0.00600028i
\(306\) −12.0486 + 1.73233i −0.0393745 + 0.00566120i
\(307\) 41.7443 142.168i 0.135975 0.463088i −0.863148 0.504950i \(-0.831511\pi\)
0.999123 + 0.0418619i \(0.0133290\pi\)
\(308\) 109.211 + 169.936i 0.354581 + 0.551739i
\(309\) 457.996 + 65.8499i 1.48219 + 0.213107i
\(310\) −37.3027 + 96.6516i −0.120331 + 0.311779i
\(311\) −51.1183 + 111.933i −0.164367 + 0.359914i −0.973837 0.227247i \(-0.927027\pi\)
0.809470 + 0.587162i \(0.199755\pi\)
\(312\) 186.902 + 26.8724i 0.599044 + 0.0861295i
\(313\) 369.327 237.352i 1.17996 0.758313i 0.204580 0.978850i \(-0.434417\pi\)
0.975379 + 0.220537i \(0.0707808\pi\)
\(314\) −21.8713 + 74.4870i −0.0696540 + 0.237220i
\(315\) −21.2560 + 4.37219i −0.0674794 + 0.0138800i
\(316\) 171.742 148.815i 0.543487 0.470934i
\(317\) −4.26518 + 6.63676i −0.0134548 + 0.0209361i −0.847916 0.530131i \(-0.822143\pi\)
0.834461 + 0.551067i \(0.185779\pi\)
\(318\) 148.362 171.219i 0.466549 0.538426i
\(319\) 56.9820 + 194.063i 0.178627 + 0.608348i
\(320\) −35.3222 + 18.7707i −0.110382 + 0.0586586i
\(321\) 13.6515i 0.0425280i
\(322\) −443.379 + 73.6591i −1.37695 + 0.228755i
\(323\) 141.185i 0.437105i
\(324\) 69.5639 + 152.324i 0.214703 + 0.470135i
\(325\) −215.840 502.469i −0.664123 1.54606i
\(326\) 110.492 127.515i 0.338933 0.391149i
\(327\) 264.648 + 170.079i 0.809321 + 0.520119i
\(328\) −44.5601 + 38.6115i −0.135854 + 0.117718i
\(329\) −645.913 + 92.8683i −1.96326 + 0.282275i
\(330\) 153.744 + 35.2750i 0.465891 + 0.106894i
\(331\) 129.783 83.4064i 0.392093 0.251983i −0.329709 0.944083i \(-0.606950\pi\)
0.721802 + 0.692100i \(0.243314\pi\)
\(332\) 21.1717 147.252i 0.0637702 0.443531i
\(333\) −4.02094 + 8.80462i −0.0120749 + 0.0264403i
\(334\) 142.392 311.795i 0.426323 0.933516i
\(335\) 272.084 + 22.5628i 0.812192 + 0.0673517i
\(336\) −91.1976 141.906i −0.271422 0.422340i
\(337\) 499.503 + 146.667i 1.48221 + 0.435215i 0.920045 0.391813i \(-0.128152\pi\)
0.562161 + 0.827028i \(0.309970\pi\)
\(338\) −433.243 + 62.2910i −1.28179 + 0.184293i
\(339\) 161.188 139.670i 0.475481 0.412006i
\(340\) −134.047 + 239.007i −0.394256 + 0.702961i
\(341\) 80.9351 + 70.1307i 0.237346 + 0.205662i
\(342\) 2.19589 0.644772i 0.00642074 0.00188530i
\(343\) −533.473 1168.14i −1.55532 3.40567i
\(344\) 17.6820i 0.0514012i
\(345\) −207.368 + 283.156i −0.601068 + 0.820742i
\(346\) 400.725 1.15817
\(347\) 385.200 175.915i 1.11009 0.506960i 0.225928 0.974144i \(-0.427459\pi\)
0.884160 + 0.467184i \(0.154731\pi\)
\(348\) −47.5834 162.054i −0.136734 0.465673i
\(349\) 98.0539 113.160i 0.280957 0.324241i −0.597678 0.801737i \(-0.703910\pi\)
0.878634 + 0.477495i \(0.158455\pi\)
\(350\) −212.969 + 439.676i −0.608484 + 1.25622i
\(351\) −379.730 438.232i −1.08185 1.24852i
\(352\) 5.88448 + 40.9275i 0.0167173 + 0.116271i
\(353\) −135.431 + 461.237i −0.383658 + 1.30662i 0.510889 + 0.859647i \(0.329316\pi\)
−0.894547 + 0.446974i \(0.852502\pi\)
\(354\) 142.585 91.6338i 0.402782 0.258853i
\(355\) −200.656 16.6396i −0.565228 0.0468720i
\(356\) 62.9231 + 28.7360i 0.176750 + 0.0807192i
\(357\) −1051.19 480.061i −2.94450 1.34471i
\(358\) 433.949 + 62.3924i 1.21215 + 0.174281i
\(359\) 54.3611 + 84.5876i 0.151424 + 0.235620i 0.908675 0.417503i \(-0.137095\pi\)
−0.757252 + 0.653123i \(0.773458\pi\)
\(360\) −4.32952 0.993364i −0.0120265 0.00275935i
\(361\) −47.5980 331.051i −0.131850 0.917039i
\(362\) −91.7689 105.907i −0.253505 0.292561i
\(363\) −111.493 + 173.487i −0.307144 + 0.477925i
\(364\) 456.870 + 395.881i 1.25514 + 1.08758i
\(365\) −309.953 + 111.621i −0.849187 + 0.305810i
\(366\) −2.00955 + 0.917733i −0.00549058 + 0.00250747i
\(367\) 20.7634 0.0565760 0.0282880 0.999600i \(-0.490994\pi\)
0.0282880 + 0.999600i \(0.490994\pi\)
\(368\) −88.8180 23.9866i −0.241353 0.0651809i
\(369\) −6.54769 −0.0177444
\(370\) 102.255 + 192.421i 0.276366 + 0.520057i
\(371\) 695.947 204.348i 1.87587 0.550804i
\(372\) −67.5857 58.5633i −0.181682 0.157428i
\(373\) −560.320 360.096i −1.50220 0.965405i −0.994597 0.103813i \(-0.966896\pi\)
−0.507602 0.861592i \(-0.669468\pi\)
\(374\) 185.501 + 214.079i 0.495992 + 0.572405i
\(375\) 121.085 + 361.761i 0.322894 + 0.964697i
\(376\) −128.162 37.6318i −0.340857 0.100085i
\(377\) 327.241 + 509.197i 0.868013 + 1.35065i
\(378\) −73.7216 + 512.745i −0.195031 + 1.35647i
\(379\) 260.126 + 118.796i 0.686348 + 0.313445i 0.727892 0.685692i \(-0.240500\pi\)
−0.0415435 + 0.999137i \(0.513228\pi\)
\(380\) 18.5510 48.0659i 0.0488185 0.126489i
\(381\) 72.6620 505.376i 0.190714 1.32644i
\(382\) 96.5590 62.0547i 0.252772 0.162447i
\(383\) −587.003 172.360i −1.53264 0.450025i −0.596785 0.802401i \(-0.703556\pi\)
−0.935858 + 0.352376i \(0.885374\pi\)
\(384\) −4.91389 34.1769i −0.0127966 0.0890023i
\(385\) 353.023 + 361.119i 0.916942 + 0.937972i
\(386\) 173.335 + 111.396i 0.449055 + 0.288590i
\(387\) 1.28588 1.48399i 0.00332269 0.00383459i
\(388\) −115.328 + 33.8634i −0.297238 + 0.0872769i
\(389\) 102.562 46.8385i 0.263656 0.120408i −0.279201 0.960233i \(-0.590070\pi\)
0.542857 + 0.839825i \(0.317342\pi\)
\(390\) 471.208 28.3363i 1.20822 0.0726572i
\(391\) −600.721 + 190.725i −1.53637 + 0.487787i
\(392\) 401.457i 1.02412i
\(393\) 394.961 180.372i 1.00499 0.458963i
\(394\) −308.680 + 90.6368i −0.783453 + 0.230043i
\(395\) 345.594 450.912i 0.874921 1.14155i
\(396\) −2.48249 + 3.86283i −0.00626891 + 0.00975461i
\(397\) −243.462 + 210.961i −0.613253 + 0.531387i −0.905166 0.425058i \(-0.860254\pi\)
0.291913 + 0.956445i \(0.405708\pi\)
\(398\) 7.98926 + 55.5665i 0.0200735 + 0.139614i
\(399\) 208.471 + 61.2126i 0.522483 + 0.153415i
\(400\) −77.0402 + 63.7558i −0.192600 + 0.159390i
\(401\) −8.62475 1.24005i −0.0215081 0.00309240i 0.131552 0.991309i \(-0.458004\pi\)
−0.153060 + 0.988217i \(0.548913\pi\)
\(402\) −97.9015 + 214.374i −0.243536 + 0.533270i
\(403\) 291.530 + 133.137i 0.723399 + 0.330365i
\(404\) −11.3307 + 78.8070i −0.0280464 + 0.195067i
\(405\) 247.067 + 337.962i 0.610042 + 0.834474i
\(406\) 152.340 518.823i 0.375222 1.27789i
\(407\) 222.956 32.0562i 0.547804 0.0787623i
\(408\) −154.904 178.769i −0.379667 0.438160i
\(409\) −335.203 215.422i −0.819568 0.526704i 0.0623795 0.998053i \(-0.480131\pi\)
−0.881947 + 0.471348i \(0.843767\pi\)
\(410\) −89.6677 + 116.994i −0.218702 + 0.285350i
\(411\) −109.573 373.173i −0.266602 0.907963i
\(412\) 125.964 + 275.823i 0.305738 + 0.669473i
\(413\) 542.633 1.31388
\(414\) −5.70981 8.47218i −0.0137918 0.0204642i
\(415\) −22.3250 371.246i −0.0537953 0.894568i
\(416\) 51.4041 + 112.559i 0.123568 + 0.270575i
\(417\) 153.965 + 524.357i 0.369221 + 1.25745i
\(418\) −40.2499 34.8767i −0.0962916 0.0834371i
\(419\) 0.253293 0.394132i 0.000604519 0.000940650i −0.840951 0.541111i \(-0.818004\pi\)
0.841556 + 0.540170i \(0.181640\pi\)
\(420\) −294.795 301.556i −0.701893 0.717990i
\(421\) 277.913 39.9578i 0.660125 0.0949117i 0.195893 0.980625i \(-0.437239\pi\)
0.464232 + 0.885714i \(0.346330\pi\)
\(422\) 122.566 417.422i 0.290441 0.989153i
\(423\) −8.01950 12.4786i −0.0189586 0.0295002i
\(424\) 146.957 + 21.1293i 0.346598 + 0.0498332i
\(425\) −207.861 + 652.782i −0.489086 + 1.53596i
\(426\) 72.2001 158.096i 0.169484 0.371118i
\(427\) −7.00083 1.00657i −0.0163954 0.00235730i
\(428\) −7.52604 + 4.83669i −0.0175842 + 0.0113007i
\(429\) 137.477 468.205i 0.320460 1.09139i
\(430\) −8.90617 43.2986i −0.0207120 0.100694i
\(431\) −102.307 + 88.6492i −0.237370 + 0.205683i −0.765420 0.643531i \(-0.777469\pi\)
0.528050 + 0.849213i \(0.322923\pi\)
\(432\) −57.3263 + 89.2015i −0.132700 + 0.206485i
\(433\) −436.092 + 503.277i −1.00714 + 1.16230i −0.0204334 + 0.999791i \(0.506505\pi\)
−0.986707 + 0.162511i \(0.948041\pi\)
\(434\) −80.6627 274.712i −0.185859 0.632977i
\(435\) −198.143 372.860i −0.455502 0.857150i
\(436\) 206.158i 0.472840i
\(437\) 106.691 51.5674i 0.244144 0.118003i
\(438\) 284.374i 0.649257i
\(439\) −325.544 712.843i −0.741559 1.62379i −0.780973 0.624565i \(-0.785276\pi\)
0.0394140 0.999223i \(-0.487451\pi\)
\(440\) 35.0241 + 97.2566i 0.0796002 + 0.221038i
\(441\) 29.1950 33.6928i 0.0662018 0.0764009i
\(442\) 713.152 + 458.315i 1.61347 + 1.03691i
\(443\) −418.159 + 362.337i −0.943926 + 0.817917i −0.983427 0.181303i \(-0.941969\pi\)
0.0395009 + 0.999220i \(0.487423\pi\)
\(444\) −186.182 + 26.7689i −0.419328 + 0.0602902i
\(445\) 168.556 + 38.6734i 0.378777 + 0.0869066i
\(446\) 66.7848 42.9200i 0.149742 0.0962331i
\(447\) 23.8679 166.005i 0.0533958 0.371376i
\(448\) 45.9216 100.554i 0.102503 0.224451i
\(449\) 197.656 432.806i 0.440214 0.963934i −0.551345 0.834277i \(-0.685885\pi\)
0.991559 0.129657i \(-0.0413875\pi\)
\(450\) −11.1022 0.251768i −0.0246715 0.000559484i
\(451\) 82.3786 + 128.184i 0.182658 + 0.284221i
\(452\) 134.108 + 39.3778i 0.296700 + 0.0871190i
\(453\) −313.311 + 45.0474i −0.691637 + 0.0994423i
\(454\) 105.762 91.6435i 0.232956 0.201858i
\(455\) 1318.15 + 739.287i 2.89704 + 1.62481i
\(456\) 33.6110 + 29.1241i 0.0737084 + 0.0638687i
\(457\) 631.003 185.279i 1.38075 0.405425i 0.494721 0.869052i \(-0.335270\pi\)
0.886031 + 0.463627i \(0.153452\pi\)
\(458\) −133.583 292.506i −0.291666 0.638659i
\(459\) 726.415i 1.58260i
\(460\) −229.573 14.0003i −0.499073 0.0304355i
\(461\) −750.254 −1.62745 −0.813724 0.581251i \(-0.802563\pi\)
−0.813724 + 0.581251i \(0.802563\pi\)
\(462\) −396.532 + 181.090i −0.858295 + 0.391970i
\(463\) 234.638 + 799.104i 0.506778 + 1.72593i 0.672819 + 0.739807i \(0.265083\pi\)
−0.166041 + 0.986119i \(0.553098\pi\)
\(464\) 72.4814 83.6480i 0.156210 0.180276i
\(465\) −194.997 109.364i −0.419348 0.235192i
\(466\) −27.9993 32.3129i −0.0600844 0.0693410i
\(467\) 49.4429 + 343.883i 0.105873 + 0.736366i 0.971734 + 0.236080i \(0.0758627\pi\)
−0.865860 + 0.500286i \(0.833228\pi\)
\(468\) −3.87145 + 13.1849i −0.00827232 + 0.0281729i
\(469\) −634.736 + 407.920i −1.35338 + 0.869765i
\(470\) −332.790 27.5969i −0.708063 0.0587167i
\(471\) −152.391 69.5947i −0.323548 0.147759i
\(472\) 101.035 + 46.1412i 0.214057 + 0.0977567i
\(473\) −45.2300 6.50309i −0.0956236 0.0137486i
\(474\) 265.132 + 412.553i 0.559350 + 0.870366i
\(475\) 21.2164 127.044i 0.0446662 0.267462i
\(476\) −107.776 749.601i −0.226421 1.57479i
\(477\) 10.7970 + 12.4604i 0.0226353 + 0.0261225i
\(478\) 135.786 211.287i 0.284072 0.442024i
\(479\) 384.732 + 333.373i 0.803199 + 0.695976i 0.956349 0.292227i \(-0.0943962\pi\)
−0.153150 + 0.988203i \(0.548942\pi\)
\(480\) −29.2472 81.2150i −0.0609317 0.169198i
\(481\) 613.177 280.029i 1.27480 0.582180i
\(482\) 346.592 0.719070
\(483\) −21.1699 969.704i −0.0438300 2.00767i
\(484\) −135.145 −0.279225
\(485\) −265.352 + 141.012i −0.547117 + 0.290746i
\(486\) −23.0049 + 6.75484i −0.0473351 + 0.0138988i
\(487\) −11.8865 10.2997i −0.0244076 0.0211493i 0.642572 0.766226i \(-0.277868\pi\)
−0.666979 + 0.745076i \(0.732413\pi\)
\(488\) −1.21792 0.782713i −0.00249575 0.00160392i
\(489\) 238.444 + 275.179i 0.487616 + 0.562739i
\(490\) −202.208 983.061i −0.412669 2.00625i
\(491\) −649.095 190.591i −1.32199 0.388170i −0.456777 0.889581i \(-0.650996\pi\)
−0.865209 + 0.501411i \(0.832814\pi\)
\(492\) −68.7911 107.041i −0.139819 0.217563i
\(493\) 107.911 750.540i 0.218887 1.52239i
\(494\) −144.981 66.2105i −0.293483 0.134029i
\(495\) −4.13330 + 10.7094i −0.00835011 + 0.0216352i
\(496\) 8.34039 58.0087i 0.0168153 0.116953i
\(497\) 468.103 300.832i 0.941858 0.605295i
\(498\) 308.037 + 90.4478i 0.618548 + 0.181622i
\(499\) 56.7810 + 394.921i 0.113790 + 0.791424i 0.964176 + 0.265265i \(0.0854594\pi\)
−0.850386 + 0.526159i \(0.823631\pi\)
\(500\) −156.538 + 194.925i −0.313076 + 0.389850i
\(501\) 622.279 + 399.914i 1.24207 + 0.798232i
\(502\) −106.287 + 122.661i −0.211726 + 0.244345i
\(503\) 271.836 79.8181i 0.540428 0.158684i −0.000115315 1.00000i \(-0.500037\pi\)
0.540544 + 0.841316i \(0.318219\pi\)
\(504\) 11.1666 5.09961i 0.0221559 0.0101183i
\(505\) 11.9480 + 198.685i 0.0236594 + 0.393435i
\(506\) −94.0223 + 218.372i −0.185815 + 0.431565i
\(507\) 944.562i 1.86304i
\(508\) 304.357 138.995i 0.599127 0.273612i
\(509\) 89.6263 26.3167i 0.176083 0.0517027i −0.192502 0.981296i \(-0.561660\pi\)
0.368586 + 0.929594i \(0.379842\pi\)
\(510\) −469.363 359.735i −0.920320 0.705363i
\(511\) 492.219 765.908i 0.963247 1.49884i
\(512\) 17.1007 14.8178i 0.0333997 0.0289410i
\(513\) −19.4368 135.186i −0.0378885 0.263520i
\(514\) 576.130 + 169.167i 1.12087 + 0.329119i
\(515\) 447.381 + 611.971i 0.868701 + 1.18829i
\(516\) 37.7697 + 5.43047i 0.0731972 + 0.0105242i
\(517\) −143.396 + 313.994i −0.277362 + 0.607339i
\(518\) −547.778 250.162i −1.05749 0.482938i
\(519\) −123.070 + 855.971i −0.237129 + 1.64927i
\(520\) 182.570 + 249.736i 0.351095 + 0.480262i
\(521\) 165.366 563.186i 0.317402 1.08097i −0.634081 0.773267i \(-0.718621\pi\)
0.951482 0.307704i \(-0.0995606\pi\)
\(522\) 12.1662 1.74924i 0.0233069 0.00335103i
\(523\) −2.36143 2.72524i −0.00451516 0.00521078i 0.753488 0.657462i \(-0.228370\pi\)
−0.758003 + 0.652251i \(0.773825\pi\)
\(524\) 239.373 + 153.835i 0.456818 + 0.293579i
\(525\) −873.764 589.946i −1.66431 1.12371i
\(526\) −29.5972 100.799i −0.0562684 0.191633i
\(527\) −166.785 365.209i −0.316481 0.692996i
\(528\) −89.2305 −0.168997
\(529\) −363.539 384.292i −0.687219 0.726450i
\(530\) 370.502 22.2803i 0.699061 0.0420384i
\(531\) 5.12400 + 11.2200i 0.00964972 + 0.0211299i
\(532\) 40.1144 + 136.617i 0.0754030 + 0.256799i
\(533\) 344.621 + 298.616i 0.646568 + 0.560255i
\(534\) −80.7065 + 125.582i −0.151136 + 0.235172i
\(535\) −15.9931 + 15.6345i −0.0298937 + 0.0292234i
\(536\) −152.870 + 21.9795i −0.285206 + 0.0410064i
\(537\) −266.547 + 907.776i −0.496364 + 1.69046i
\(538\) 84.1304 + 130.909i 0.156376 + 0.243326i
\(539\) −1026.91 147.648i −1.90522 0.273929i
\(540\) −95.4474 + 247.305i −0.176755 + 0.457973i
\(541\) −153.521 + 336.165i −0.283773 + 0.621377i −0.996815 0.0797445i \(-0.974590\pi\)
0.713042 + 0.701121i \(0.247317\pi\)
\(542\) 163.814 + 23.5529i 0.302240 + 0.0434555i
\(543\) 254.407 163.497i 0.468521 0.301100i
\(544\) 43.6728 148.736i 0.0802809 0.273412i
\(545\) 103.839 + 504.827i 0.190530 + 0.926289i
\(546\) −985.935 + 854.318i −1.80574 + 1.56468i
\(547\) −390.914 + 608.275i −0.714652 + 1.11202i 0.273991 + 0.961732i \(0.411656\pi\)
−0.988642 + 0.150287i \(0.951980\pi\)
\(548\) 166.908 192.622i 0.304576 0.351500i
\(549\) −0.0452951 0.154261i −8.25047e−5 0.000280985i
\(550\) 134.751 + 220.514i 0.245003 + 0.400935i
\(551\) 142.563i 0.258735i
\(552\) 78.5142 182.353i 0.142236 0.330350i
\(553\) 1570.05i 2.83914i
\(554\) −191.994 420.409i −0.346560 0.758860i
\(555\) −442.426 + 159.327i −0.797164 + 0.287075i
\(556\) −234.527 + 270.659i −0.421812 + 0.486797i
\(557\) −294.282 189.123i −0.528333 0.339539i 0.249127 0.968471i \(-0.419856\pi\)
−0.777461 + 0.628931i \(0.783493\pi\)
\(558\) 4.91852 4.26192i 0.00881455 0.00763785i
\(559\) −135.358 + 19.4616i −0.242143 + 0.0348150i
\(560\) 61.8020 269.361i 0.110361 0.481001i
\(561\) −514.256 + 330.492i −0.916677 + 0.589113i
\(562\) 26.3092 182.985i 0.0468135 0.325595i
\(563\) 91.7371 200.876i 0.162943 0.356796i −0.810495 0.585746i \(-0.800802\pi\)
0.973438 + 0.228949i \(0.0735291\pi\)
\(564\) 119.745 262.204i 0.212313 0.464901i
\(565\) 348.230 + 28.8773i 0.616336 + 0.0511102i
\(566\) 92.6018 + 144.091i 0.163607 + 0.254578i
\(567\) −1110.09 325.952i −1.95783 0.574871i
\(568\) 112.739 16.2093i 0.198483 0.0285376i
\(569\) −221.952 + 192.322i −0.390074 + 0.338001i −0.827715 0.561149i \(-0.810359\pi\)
0.437641 + 0.899150i \(0.355814\pi\)
\(570\) 96.9739 + 54.3879i 0.170130 + 0.0954173i
\(571\) 285.616 + 247.488i 0.500204 + 0.433429i 0.868064 0.496452i \(-0.165364\pi\)
−0.367860 + 0.929881i \(0.619910\pi\)
\(572\) 306.828 90.0929i 0.536413 0.157505i
\(573\) 102.897 + 225.313i 0.179576 + 0.393217i
\(574\) 407.364i 0.709693i
\(575\) −569.216 + 81.3498i −0.989941 + 0.141478i
\(576\) 2.51279 0.00436247
\(577\) 731.828 334.214i 1.26833 0.579228i 0.336352 0.941736i \(-0.390807\pi\)
0.931980 + 0.362509i \(0.118080\pi\)
\(578\) −184.046 626.803i −0.318419 1.08443i
\(579\) −291.182 + 336.042i −0.502905 + 0.580383i
\(580\) 135.355 241.340i 0.233371 0.416103i
\(581\) 673.083 + 776.780i 1.15849 + 1.33697i
\(582\) −36.9147 256.748i −0.0634274 0.441147i
\(583\) 108.096 368.141i 0.185413 0.631460i
\(584\) 156.775 100.753i 0.268451 0.172523i
\(585\) −2.83908 + 34.2364i −0.00485313 + 0.0585238i
\(586\) −437.846 199.958i −0.747177 0.341224i
\(587\) −444.801 203.134i −0.757753 0.346054i −0.00121071 0.999999i \(-0.500385\pi\)
−0.756542 + 0.653945i \(0.773113\pi\)
\(588\) 857.534 + 123.295i 1.45839 + 0.209685i
\(589\) 40.8107 + 63.5026i 0.0692881 + 0.107814i
\(590\) 270.649 + 62.0976i 0.458727 + 0.105250i
\(591\) −98.8036 687.194i −0.167180 1.16277i
\(592\) −80.7213 93.1574i −0.136354 0.157360i
\(593\) −299.953 + 466.737i −0.505824 + 0.787077i −0.996441 0.0842985i \(-0.973135\pi\)
0.490617 + 0.871375i \(0.336771\pi\)
\(594\) 207.091 + 179.445i 0.348638 + 0.302097i
\(595\) −641.479 1781.29i −1.07812 2.99376i
\(596\) 99.9746 45.6569i 0.167743 0.0766055i
\(597\) −121.147 −0.202926
\(598\) −85.8634 + 706.314i −0.143584 + 1.18113i
\(599\) −950.836 −1.58737 −0.793686 0.608327i \(-0.791841\pi\)
−0.793686 + 0.608327i \(0.791841\pi\)
\(600\) −112.525 184.143i −0.187542 0.306904i
\(601\) 218.910 64.2779i 0.364244 0.106952i −0.0944890 0.995526i \(-0.530122\pi\)
0.458733 + 0.888574i \(0.348304\pi\)
\(602\) 92.3260 + 80.0009i 0.153365 + 0.132892i
\(603\) −14.4283 9.27248i −0.0239275 0.0153773i
\(604\) −135.840 156.768i −0.224901 0.259549i
\(605\) −330.934 + 68.0705i −0.546998 + 0.112513i
\(606\) −164.856 48.4061i −0.272040 0.0798781i
\(607\) 235.769 + 366.864i 0.388417 + 0.604389i 0.979311 0.202360i \(-0.0648613\pi\)
−0.590894 + 0.806749i \(0.701225\pi\)
\(608\) −4.14776 + 28.8483i −0.00682198 + 0.0474479i
\(609\) 1061.45 + 484.747i 1.74293 + 0.795971i
\(610\) −3.37662 1.30320i −0.00553544 0.00213640i
\(611\) −147.016 + 1022.52i −0.240615 + 1.67351i
\(612\) 14.4818 9.30687i 0.0236630 0.0152073i
\(613\) 611.012 + 179.409i 0.996757 + 0.292674i 0.739124 0.673569i \(-0.235240\pi\)
0.257632 + 0.966243i \(0.417058\pi\)
\(614\) 29.8212 + 207.411i 0.0485688 + 0.337803i
\(615\) −222.366 227.466i −0.361571 0.369863i
\(616\) −240.325 154.448i −0.390138 0.250727i
\(617\) 571.735 659.817i 0.926637 1.06940i −0.0707746 0.997492i \(-0.522547\pi\)
0.997412 0.0719038i \(-0.0229075\pi\)
\(618\) −627.859 + 184.356i −1.01595 + 0.298311i
\(619\) 321.208 146.691i 0.518915 0.236980i −0.138700 0.990334i \(-0.544293\pi\)
0.657615 + 0.753354i \(0.271565\pi\)
\(620\) −8.79474 146.249i −0.0141851 0.235885i
\(621\) −548.939 + 265.321i −0.883959 + 0.427248i
\(622\) 174.024i 0.279781i
\(623\) −434.735 + 198.537i −0.697809 + 0.318679i
\(624\) −256.220 + 75.2330i −0.410609 + 0.120566i
\(625\) −285.139 + 556.166i −0.456223 + 0.889866i
\(626\) −335.667 + 522.307i −0.536209 + 0.834357i
\(627\) 86.8600 75.2646i 0.138533 0.120039i
\(628\) −15.6244 108.670i −0.0248796 0.173042i
\(629\) −810.253 237.912i −1.28816 0.378238i
\(630\) 24.7754 18.1120i 0.0393261 0.0287493i
\(631\) 159.051 + 22.8681i 0.252062 + 0.0362411i 0.267188 0.963645i \(-0.413906\pi\)
−0.0151254 + 0.999886i \(0.504815\pi\)
\(632\) −133.504 + 292.334i −0.211241 + 0.462553i
\(633\) 853.995 + 390.006i 1.34912 + 0.616124i
\(634\) 1.58779 11.0433i 0.00250441 0.0174185i
\(635\) 675.279 493.662i 1.06343 0.777420i
\(636\) −90.2666 + 307.420i −0.141929 + 0.483365i
\(637\) −3073.20 + 441.860i −4.82450 + 0.693658i
\(638\) −187.312 216.169i −0.293592 0.338823i
\(639\) 10.6405 + 6.83825i 0.0166518 + 0.0107015i
\(640\) 34.4115 44.8982i 0.0537679 0.0701535i
\(641\) 230.870 + 786.271i 0.360172 + 1.22663i 0.917968 + 0.396654i \(0.129829\pi\)
−0.557797 + 0.829978i \(0.688353\pi\)
\(642\) −8.02005 17.5615i −0.0124923 0.0273543i
\(643\) −1034.84 −1.60940 −0.804698 0.593684i \(-0.797673\pi\)
−0.804698 + 0.593684i \(0.797673\pi\)
\(644\) 527.095 355.235i 0.818471 0.551607i
\(645\) 95.2233 5.72630i 0.147633 0.00887798i
\(646\) 82.9440 + 181.622i 0.128396 + 0.281149i
\(647\) −49.3740 168.152i −0.0763123 0.259896i 0.912496 0.409085i \(-0.134152\pi\)
−0.988809 + 0.149189i \(0.952334\pi\)
\(648\) −178.976 155.084i −0.276198 0.239327i
\(649\) 155.186 241.475i 0.239116 0.372072i
\(650\) 572.853 + 519.580i 0.881312 + 0.799355i
\(651\) 611.572 87.9308i 0.939435 0.135070i
\(652\) −67.2256 + 228.949i −0.103107 + 0.351149i
\(653\) 194.463 + 302.590i 0.297799 + 0.463385i 0.957618 0.288040i \(-0.0930035\pi\)
−0.659819 + 0.751424i \(0.729367\pi\)
\(654\) −440.366 63.3150i −0.673342 0.0968119i
\(655\) 663.645 + 256.134i 1.01320 + 0.391044i
\(656\) 34.6390 75.8488i 0.0528033 0.115623i
\(657\) 20.4846 + 2.94524i 0.0311790 + 0.00448286i
\(658\) 776.353 498.932i 1.17987 0.758255i
\(659\) −22.6841 + 77.2550i −0.0344220 + 0.117231i −0.974912 0.222591i \(-0.928549\pi\)
0.940490 + 0.339822i \(0.110367\pi\)
\(660\) −218.502 + 44.9441i −0.331063 + 0.0680972i
\(661\) 366.953 317.967i 0.555149 0.481039i −0.331518 0.943449i \(-0.607561\pi\)
0.886666 + 0.462410i \(0.153015\pi\)
\(662\) −117.954 + 183.541i −0.178179 + 0.277252i
\(663\) −1198.01 + 1382.57i −1.80695 + 2.08533i
\(664\) 59.2731 + 201.866i 0.0892667 + 0.304014i
\(665\) 167.042 + 314.334i 0.251190 + 0.472682i
\(666\) 13.6886i 0.0205535i
\(667\) 606.584 192.586i 0.909422 0.288735i
\(668\) 484.750i 0.725674i
\(669\) 71.1686 + 155.837i 0.106380 + 0.232941i
\(670\) −363.268 + 130.821i −0.542192 + 0.195254i
\(671\) −2.45008 + 2.82754i −0.00365139 + 0.00421393i
\(672\) 200.686 + 128.973i 0.298640 + 0.191924i
\(673\) 585.310 507.174i 0.869702 0.753601i −0.100746 0.994912i \(-0.532123\pi\)
0.970448 + 0.241311i \(0.0775774\pi\)
\(674\) −728.733 + 104.776i −1.08121 + 0.155454i
\(675\) −109.161 + 653.660i −0.161721 + 0.968386i
\(676\) 520.735 334.656i 0.770318 0.495054i
\(677\) 59.0479 410.687i 0.0872199 0.606628i −0.898593 0.438782i \(-0.855410\pi\)
0.985813 0.167845i \(-0.0536809\pi\)
\(678\) −125.300 + 274.369i −0.184809 + 0.404674i
\(679\) 344.977 755.395i 0.508067 1.11251i
\(680\) 32.0270 386.212i 0.0470985 0.567959i
\(681\) 163.274 + 254.059i 0.239756 + 0.373068i
\(682\) −145.317 42.6689i −0.213075 0.0625643i
\(683\) 23.1437 3.32756i 0.0338854 0.00487198i −0.125351 0.992112i \(-0.540006\pi\)
0.159237 + 0.987240i \(0.449097\pi\)
\(684\) −2.44603 + 2.11950i −0.00357607 + 0.00309868i
\(685\) 311.692 555.749i 0.455025 0.811312i
\(686\) 1372.53 + 1189.31i 2.00078 + 1.73368i
\(687\) 665.834 195.507i 0.969191 0.284580i
\(688\) 10.3879 + 22.7464i 0.0150987 + 0.0330616i
\(689\) 1148.23i 1.66652i
\(690\) 100.412 486.082i 0.145524 0.704466i
\(691\) 871.192 1.26077 0.630385 0.776282i \(-0.282897\pi\)
0.630385 + 0.776282i \(0.282897\pi\)
\(692\) −515.499 + 235.420i −0.744940 + 0.340203i
\(693\) −8.93778 30.4393i −0.0128972 0.0439239i
\(694\) −392.180 + 452.599i −0.565100 + 0.652160i
\(695\) −437.968 + 780.900i −0.630170 + 1.12360i
\(696\) 156.416 + 180.514i 0.224736 + 0.259359i
\(697\) −81.2966 565.430i −0.116638 0.811234i
\(698\) −59.6579 + 203.176i −0.0854698 + 0.291083i
\(699\) 77.6213 49.8842i 0.111046 0.0713650i
\(700\) 15.6637 690.721i 0.0223767 0.986745i
\(701\) −481.041 219.684i −0.686221 0.313387i 0.0416191 0.999134i \(-0.486748\pi\)
−0.727840 + 0.685747i \(0.759476\pi\)
\(702\) 745.945 + 340.662i 1.06260 + 0.485273i
\(703\) 157.154 + 22.5953i 0.223547 + 0.0321413i
\(704\) −31.6142 49.1926i −0.0449065 0.0698759i
\(705\) 161.154 702.381i 0.228587 0.996286i
\(706\) −96.7493 672.906i −0.137039 0.953125i
\(707\) −360.223 415.719i −0.509509 0.588005i
\(708\) −129.590 + 201.646i −0.183036 + 0.284810i
\(709\) −450.264 390.156i −0.635069 0.550290i 0.276720 0.960951i \(-0.410753\pi\)
−0.911788 + 0.410661i \(0.865298\pi\)
\(710\) 267.902 96.4772i 0.377327 0.135883i
\(711\) −32.4638 + 14.8257i −0.0456593 + 0.0208519i
\(712\) −97.8272 −0.137398
\(713\) 215.064 259.428i 0.301632 0.363854i
\(714\) 1634.29 2.28892
\(715\) 705.963 375.159i 0.987360 0.524698i
\(716\) −594.892 + 174.676i −0.830855 + 0.243961i
\(717\) 409.619 + 354.937i 0.571296 + 0.495031i
\(718\) −119.625 76.8783i −0.166609 0.107073i
\(719\) −539.602 622.734i −0.750490 0.866111i 0.244126 0.969744i \(-0.421499\pi\)
−0.994616 + 0.103632i \(0.966954\pi\)
\(720\) 6.15314 1.26565i 0.00854603 0.00175785i
\(721\) −2010.12 590.223i −2.78795 0.818617i
\(722\) 255.718 + 397.906i 0.354181 + 0.551116i
\(723\) −106.445 + 740.339i −0.147226 + 1.02398i
\(724\) 180.272 + 82.3273i 0.248994 + 0.113712i
\(725\) 209.890 659.153i 0.289504 0.909177i
\(726\) 41.5054 288.677i 0.0571700 0.397626i
\(727\) 56.8643 36.5445i 0.0782178 0.0502675i −0.500947 0.865478i \(-0.667015\pi\)
0.579165 + 0.815210i \(0.303379\pi\)
\(728\) −820.299 240.861i −1.12678 0.330854i
\(729\) 99.8784 + 694.670i 0.137007 + 0.952908i
\(730\) 333.153 325.683i 0.456373 0.446141i
\(731\) 144.116 + 92.6178i 0.197149 + 0.126700i
\(732\) 2.04596 2.36117i 0.00279503 0.00322564i
\(733\) −196.684 + 57.7515i −0.268327 + 0.0787879i −0.413128 0.910673i \(-0.635564\pi\)
0.144801 + 0.989461i \(0.453746\pi\)
\(734\) −26.7103 + 12.1982i −0.0363901 + 0.0166188i
\(735\) 2161.97 130.011i 2.94146 0.176886i
\(736\) 128.349 21.3227i 0.174387 0.0289710i
\(737\) 399.121i 0.541548i
\(738\) 8.42304 3.84668i 0.0114133 0.00521230i
\(739\) 1255.51 368.651i 1.69893 0.498851i 0.718468 0.695560i \(-0.244844\pi\)
0.980462 + 0.196709i \(0.0630254\pi\)
\(740\) −244.587 187.460i −0.330523 0.253324i
\(741\) 185.955 289.352i 0.250952 0.390489i
\(742\) −775.224 + 671.735i −1.04478 + 0.905303i
\(743\) −146.732 1020.55i −0.197486 1.37355i −0.811546 0.584288i \(-0.801374\pi\)
0.614060 0.789260i \(-0.289535\pi\)
\(744\) 121.348 + 35.6311i 0.163102 + 0.0478912i
\(745\) 221.815 162.157i 0.297738 0.217661i
\(746\) 932.355 + 134.052i 1.24981 + 0.179695i
\(747\) −9.70562 + 21.2523i −0.0129928 + 0.0284503i
\(748\) −364.400 166.416i −0.487165 0.222481i
\(749\) 8.79639 61.1802i 0.0117442 0.0816825i
\(750\) −368.295 394.239i −0.491060 0.525652i
\(751\) −146.596 + 499.259i −0.195201 + 0.664792i 0.802477 + 0.596683i \(0.203515\pi\)
−0.997678 + 0.0681095i \(0.978303\pi\)
\(752\) 186.978 26.8833i 0.248641 0.0357491i
\(753\) −229.369 264.705i −0.304606 0.351534i
\(754\) −720.113 462.788i −0.955057 0.613778i
\(755\) −411.598 315.462i −0.545163 0.417831i
\(756\) −206.394 702.913i −0.273008 0.929779i
\(757\) −261.904 573.489i −0.345976 0.757582i −0.999999 0.00110729i \(-0.999648\pi\)
0.654024 0.756474i \(-0.273080\pi\)
\(758\) −404.420 −0.533536
\(759\) −437.578 267.903i −0.576519 0.352968i
\(760\) 4.37372 + 72.7311i 0.00575489 + 0.0956988i
\(761\) 286.111 + 626.496i 0.375967 + 0.823253i 0.999152 + 0.0411785i \(0.0131112\pi\)
−0.623185 + 0.782075i \(0.714162\pi\)
\(762\) 203.427 + 692.810i 0.266965 + 0.909199i
\(763\) −1076.45 932.748i −1.41081 1.22247i
\(764\) −87.7586 + 136.555i −0.114867 + 0.178737i
\(765\) 30.7743 30.0843i 0.0402278 0.0393259i
\(766\) 856.387 123.130i 1.11800 0.160744i
\(767\) 242.013 824.222i 0.315532 1.07460i
\(768\) 26.3997 + 41.0788i 0.0343746 + 0.0534880i
\(769\) 1209.88 + 173.955i 1.57332 + 0.226209i 0.873036 0.487657i \(-0.162148\pi\)
0.700283 + 0.713866i \(0.253057\pi\)
\(770\) −666.286 257.153i −0.865306 0.333965i
\(771\) −538.290 + 1178.69i −0.698171 + 1.52878i
\(772\) −288.424 41.4692i −0.373607 0.0537165i
\(773\) 307.314 197.499i 0.397561 0.255497i −0.326551