Properties

Label 588.2.x.a.55.11
Level $588$
Weight $2$
Character 588.55
Analytic conductor $4.695$
Analytic rank $0$
Dimension $168$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.x (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(28\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 55.11
Character \(\chi\) \(=\) 588.55
Dual form 588.2.x.a.139.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.537130 - 1.30824i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-1.42298 + 1.40539i) q^{4} +(-1.35460 + 2.81286i) q^{5} +(-0.0836867 + 1.41174i) q^{6} +(2.57260 - 0.617858i) q^{7} +(2.60291 + 1.10673i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\) \(q+(-0.537130 - 1.30824i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-1.42298 + 1.40539i) q^{4} +(-1.35460 + 2.81286i) q^{5} +(-0.0836867 + 1.41174i) q^{6} +(2.57260 - 0.617858i) q^{7} +(2.60291 + 1.10673i) q^{8} +(0.623490 + 0.781831i) q^{9} +(4.40750 + 0.261274i) q^{10} +(-1.76527 - 1.40775i) q^{11} +(1.89184 - 0.648803i) q^{12} +(-3.29095 - 2.62444i) q^{13} +(-2.19013 - 3.03370i) q^{14} +(2.44091 - 1.94656i) q^{15} +(0.0497615 - 3.99969i) q^{16} +(-0.732085 - 0.167094i) q^{17} +(0.687928 - 1.23562i) q^{18} -2.18601 q^{19} +(-2.02559 - 5.90641i) q^{20} +(-2.58591 - 0.559536i) q^{21} +(-0.893502 + 3.06554i) q^{22} +(-6.10010 + 1.39231i) q^{23} +(-1.86495 - 2.12649i) q^{24} +(-2.95981 - 3.71148i) q^{25} +(-1.66574 + 5.71502i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(-2.79243 + 4.49470i) q^{28} +(0.287151 - 1.25809i) q^{29} +(-3.85766 - 2.14774i) q^{30} +0.402929 q^{31} +(-5.25928 + 2.08325i) q^{32} +(0.979650 + 2.03426i) q^{33} +(0.174626 + 1.04749i) q^{34} +(-1.74690 + 8.07332i) q^{35} +(-1.98599 - 0.236287i) q^{36} +(0.433292 - 1.89838i) q^{37} +(1.17417 + 2.85983i) q^{38} +(1.82634 + 3.79243i) q^{39} +(-6.63899 + 5.82247i) q^{40} +(-0.368199 + 0.764573i) q^{41} +(0.656960 + 3.68353i) q^{42} +(-5.46538 - 11.3490i) q^{43} +(4.49039 - 0.477678i) q^{44} +(-3.04377 + 0.694720i) q^{45} +(5.09802 + 7.23254i) q^{46} +(-7.96580 + 9.98879i) q^{47} +(-1.78023 + 3.58201i) q^{48} +(6.23650 - 3.17900i) q^{49} +(-3.26571 + 5.86568i) q^{50} +(0.587087 + 0.468186i) q^{51} +(8.37133 - 0.890525i) q^{52} +(-1.85688 - 8.13550i) q^{53} +(-1.15592 + 0.814774i) q^{54} +(6.35106 - 3.05851i) q^{55} +(7.38004 + 1.23893i) q^{56} +(1.96953 + 0.948475i) q^{57} +(-1.80012 + 0.300095i) q^{58} +(-8.17303 + 3.93592i) q^{59} +(-0.737699 + 6.20036i) q^{60} +(-9.90217 - 2.26011i) q^{61} +(-0.216425 - 0.527128i) q^{62} +(2.08705 + 1.62611i) q^{63} +(5.55031 + 5.76143i) q^{64} +(11.8401 - 5.70191i) q^{65} +(2.13511 - 2.37428i) q^{66} -1.76525i q^{67} +(1.27658 - 0.791093i) q^{68} +(6.10010 + 1.39231i) q^{69} +(11.5001 - 2.05106i) q^{70} +(9.16755 - 2.09243i) q^{71} +(0.757616 + 2.72507i) q^{72} +(5.14288 - 4.10131i) q^{73} +(-2.71627 + 0.452825i) q^{74} +(1.05634 + 4.62814i) q^{75} +(3.11066 - 3.07220i) q^{76} +(-5.41111 - 2.53090i) q^{77} +(3.98043 - 4.42632i) q^{78} +5.36375i q^{79} +(11.1832 + 5.55797i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(1.19802 + 0.0710176i) q^{82} +(-4.49133 - 5.63195i) q^{83} +(4.46607 - 2.83800i) q^{84} +(1.46170 - 1.83291i) q^{85} +(-11.9116 + 13.2459i) q^{86} +(-0.804578 + 1.00891i) q^{87} +(-3.03684 - 5.61793i) q^{88} +(-12.4429 + 9.92291i) q^{89} +(2.54376 + 3.60882i) q^{90} +(-10.0878 - 4.71829i) q^{91} +(6.72360 - 10.5542i) q^{92} +(-0.363026 - 0.174824i) q^{93} +(17.3464 + 5.05589i) q^{94} +(2.96118 - 6.14895i) q^{95} +(5.64234 + 0.404971i) q^{96} -0.150995i q^{97} +(-7.50871 - 6.45130i) q^{98} -2.25786i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{9}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.537130 1.30824i −0.379808 0.925065i
\(3\) −0.900969 0.433884i −0.520175 0.250503i
\(4\) −1.42298 + 1.40539i −0.711492 + 0.702695i
\(5\) −1.35460 + 2.81286i −0.605797 + 1.25795i 0.342186 + 0.939632i \(0.388833\pi\)
−0.947984 + 0.318319i \(0.896882\pi\)
\(6\) −0.0836867 + 1.41174i −0.0341650 + 0.576339i
\(7\) 2.57260 0.617858i 0.972350 0.233529i
\(8\) 2.60291 + 1.10673i 0.920269 + 0.391287i
\(9\) 0.623490 + 0.781831i 0.207830 + 0.260610i
\(10\) 4.40750 + 0.261274i 1.39377 + 0.0826220i
\(11\) −1.76527 1.40775i −0.532248 0.424454i 0.320135 0.947372i \(-0.396272\pi\)
−0.852383 + 0.522918i \(0.824843\pi\)
\(12\) 1.89184 0.648803i 0.546127 0.187293i
\(13\) −3.29095 2.62444i −0.912745 0.727890i 0.0498721 0.998756i \(-0.484119\pi\)
−0.962617 + 0.270866i \(0.912690\pi\)
\(14\) −2.19013 3.03370i −0.585336 0.810791i
\(15\) 2.44091 1.94656i 0.630241 0.502600i
\(16\) 0.0497615 3.99969i 0.0124404 0.999923i
\(17\) −0.732085 0.167094i −0.177557 0.0405262i 0.132818 0.991140i \(-0.457597\pi\)
−0.310375 + 0.950614i \(0.600455\pi\)
\(18\) 0.687928 1.23562i 0.162146 0.291238i
\(19\) −2.18601 −0.501505 −0.250753 0.968051i \(-0.580678\pi\)
−0.250753 + 0.968051i \(0.580678\pi\)
\(20\) −2.02559 5.90641i −0.452936 1.32071i
\(21\) −2.58591 0.559536i −0.564291 0.122101i
\(22\) −0.893502 + 3.06554i −0.190495 + 0.653575i
\(23\) −6.10010 + 1.39231i −1.27196 + 0.290316i −0.804635 0.593770i \(-0.797639\pi\)
−0.467324 + 0.884086i \(0.654782\pi\)
\(24\) −1.86495 2.12649i −0.380682 0.434068i
\(25\) −2.95981 3.71148i −0.591961 0.742296i
\(26\) −1.66574 + 5.71502i −0.326678 + 1.12081i
\(27\) −0.222521 0.974928i −0.0428242 0.187625i
\(28\) −2.79243 + 4.49470i −0.527719 + 0.849419i
\(29\) 0.287151 1.25809i 0.0533225 0.233621i −0.941244 0.337729i \(-0.890341\pi\)
0.994566 + 0.104107i \(0.0331985\pi\)
\(30\) −3.85766 2.14774i −0.704309 0.392122i
\(31\) 0.402929 0.0723682 0.0361841 0.999345i \(-0.488480\pi\)
0.0361841 + 0.999345i \(0.488480\pi\)
\(32\) −5.25928 + 2.08325i −0.929719 + 0.368271i
\(33\) 0.979650 + 2.03426i 0.170535 + 0.354120i
\(34\) 0.174626 + 1.04749i 0.0299481 + 0.179644i
\(35\) −1.74690 + 8.07332i −0.295280 + 1.36464i
\(36\) −1.98599 0.236287i −0.330999 0.0393812i
\(37\) 0.433292 1.89838i 0.0712328 0.312091i −0.926742 0.375698i \(-0.877403\pi\)
0.997975 + 0.0636065i \(0.0202603\pi\)
\(38\) 1.17417 + 2.85983i 0.190476 + 0.463925i
\(39\) 1.82634 + 3.79243i 0.292448 + 0.607275i
\(40\) −6.63899 + 5.82247i −1.04972 + 0.920613i
\(41\) −0.368199 + 0.764573i −0.0575030 + 0.119406i −0.927740 0.373227i \(-0.878251\pi\)
0.870237 + 0.492633i \(0.163966\pi\)
\(42\) 0.656960 + 3.68353i 0.101371 + 0.568381i
\(43\) −5.46538 11.3490i −0.833462 1.73070i −0.667555 0.744561i \(-0.732659\pi\)
−0.165907 0.986141i \(-0.553055\pi\)
\(44\) 4.49039 0.477678i 0.676952 0.0720127i
\(45\) −3.04377 + 0.694720i −0.453738 + 0.103563i
\(46\) 5.09802 + 7.23254i 0.751662 + 1.06638i
\(47\) −7.96580 + 9.98879i −1.16193 + 1.45702i −0.297175 + 0.954823i \(0.596044\pi\)
−0.864756 + 0.502192i \(0.832527\pi\)
\(48\) −1.78023 + 3.58201i −0.256955 + 0.517018i
\(49\) 6.23650 3.17900i 0.890929 0.454143i
\(50\) −3.26571 + 5.86568i −0.461841 + 0.829533i
\(51\) 0.587087 + 0.468186i 0.0822086 + 0.0655592i
\(52\) 8.37133 0.890525i 1.16089 0.123494i
\(53\) −1.85688 8.13550i −0.255061 1.11750i −0.926458 0.376399i \(-0.877162\pi\)
0.671396 0.741098i \(-0.265695\pi\)
\(54\) −1.15592 + 0.814774i −0.157300 + 0.110877i
\(55\) 6.35106 3.05851i 0.856377 0.412409i
\(56\) 7.38004 + 1.23893i 0.986200 + 0.165559i
\(57\) 1.96953 + 0.948475i 0.260870 + 0.125629i
\(58\) −1.80012 + 0.300095i −0.236367 + 0.0394044i
\(59\) −8.17303 + 3.93592i −1.06404 + 0.512414i −0.882181 0.470911i \(-0.843925\pi\)
−0.181858 + 0.983325i \(0.558211\pi\)
\(60\) −0.737699 + 6.20036i −0.0952365 + 0.800463i
\(61\) −9.90217 2.26011i −1.26784 0.289377i −0.464863 0.885383i \(-0.653896\pi\)
−0.802980 + 0.596006i \(0.796754\pi\)
\(62\) −0.216425 0.527128i −0.0274860 0.0669453i
\(63\) 2.08705 + 1.62611i 0.262943 + 0.204870i
\(64\) 5.55031 + 5.76143i 0.693789 + 0.720178i
\(65\) 11.8401 5.70191i 1.46859 0.707235i
\(66\) 2.13511 2.37428i 0.262813 0.292254i
\(67\) 1.76525i 0.215659i −0.994169 0.107830i \(-0.965610\pi\)
0.994169 0.107830i \(-0.0343901\pi\)
\(68\) 1.27658 0.791093i 0.154808 0.0959342i
\(69\) 6.10010 + 1.39231i 0.734366 + 0.167614i
\(70\) 11.5001 2.05106i 1.37453 0.245149i
\(71\) 9.16755 2.09243i 1.08799 0.248326i 0.359335 0.933209i \(-0.383004\pi\)
0.728653 + 0.684883i \(0.240146\pi\)
\(72\) 0.757616 + 2.72507i 0.0892859 + 0.321153i
\(73\) 5.14288 4.10131i 0.601928 0.480022i −0.274479 0.961593i \(-0.588505\pi\)
0.876407 + 0.481572i \(0.159934\pi\)
\(74\) −2.71627 + 0.452825i −0.315760 + 0.0526398i
\(75\) 1.05634 + 4.62814i 0.121976 + 0.534412i
\(76\) 3.11066 3.07220i 0.356817 0.352405i
\(77\) −5.41111 2.53090i −0.616654 0.288423i
\(78\) 3.98043 4.42632i 0.450695 0.501182i
\(79\) 5.36375i 0.603469i 0.953392 + 0.301735i \(0.0975657\pi\)
−0.953392 + 0.301735i \(0.902434\pi\)
\(80\) 11.1832 + 5.55797i 1.25032 + 0.621400i
\(81\) −0.222521 + 0.974928i −0.0247245 + 0.108325i
\(82\) 1.19802 + 0.0710176i 0.132299 + 0.00784258i
\(83\) −4.49133 5.63195i −0.492987 0.618187i 0.471644 0.881789i \(-0.343661\pi\)
−0.964631 + 0.263602i \(0.915089\pi\)
\(84\) 4.46607 2.83800i 0.487288 0.309651i
\(85\) 1.46170 1.83291i 0.158543 0.198807i
\(86\) −11.9116 + 13.2459i −1.28446 + 1.42834i
\(87\) −0.804578 + 1.00891i −0.0862598 + 0.108166i
\(88\) −3.03684 5.61793i −0.323728 0.598873i
\(89\) −12.4429 + 9.92291i −1.31895 + 1.05183i −0.324580 + 0.945858i \(0.605223\pi\)
−0.994369 + 0.105968i \(0.966206\pi\)
\(90\) 2.54376 + 3.60882i 0.268136 + 0.380403i
\(91\) −10.0878 4.71829i −1.05749 0.494612i
\(92\) 6.72360 10.5542i 0.700984 1.10036i
\(93\) −0.363026 0.174824i −0.0376441 0.0181284i
\(94\) 17.3464 + 5.05589i 1.78914 + 0.521476i
\(95\) 2.96118 6.14895i 0.303811 0.630869i
\(96\) 5.64234 + 0.404971i 0.575869 + 0.0413322i
\(97\) 0.150995i 0.0153312i −0.999971 0.00766559i \(-0.997560\pi\)
0.999971 0.00766559i \(-0.00244006\pi\)
\(98\) −7.50871 6.45130i −0.758494 0.651680i
\(99\) 2.25786i 0.226924i
\(100\) 9.42783 + 1.12169i 0.942783 + 0.112169i
\(101\) −1.32602 + 2.75352i −0.131944 + 0.273985i −0.956465 0.291846i \(-0.905730\pi\)
0.824521 + 0.565832i \(0.191445\pi\)
\(102\) 0.297158 1.01953i 0.0294230 0.100948i
\(103\) 3.22255 + 1.55190i 0.317527 + 0.152913i 0.585858 0.810414i \(-0.300758\pi\)
−0.268331 + 0.963327i \(0.586472\pi\)
\(104\) −5.66151 10.4734i −0.555157 1.02700i
\(105\) 5.07678 6.51586i 0.495443 0.635883i
\(106\) −9.64580 + 6.79906i −0.936883 + 0.660383i
\(107\) −9.16516 + 7.30897i −0.886029 + 0.706585i −0.956750 0.290912i \(-0.906041\pi\)
0.0707209 + 0.997496i \(0.477470\pi\)
\(108\) 1.68680 + 1.07458i 0.162312 + 0.103401i
\(109\) −12.1163 + 15.1933i −1.16053 + 1.45526i −0.294227 + 0.955736i \(0.595062\pi\)
−0.866302 + 0.499521i \(0.833509\pi\)
\(110\) −7.41261 6.66590i −0.706765 0.635568i
\(111\) −1.21406 + 1.52238i −0.115233 + 0.144498i
\(112\) −2.34323 10.3203i −0.221414 0.975180i
\(113\) −12.1396 15.2226i −1.14200 1.43202i −0.884988 0.465614i \(-0.845834\pi\)
−0.257011 0.966408i \(-0.582738\pi\)
\(114\) 0.182940 3.08607i 0.0171339 0.289037i
\(115\) 4.34685 19.0448i 0.405346 1.77594i
\(116\) 1.35949 + 2.19380i 0.126226 + 0.203689i
\(117\) 4.20928i 0.389148i
\(118\) 9.53911 + 8.57818i 0.878147 + 0.789686i
\(119\) −1.98660 + 0.0224605i −0.182111 + 0.00205895i
\(120\) 8.50780 2.36531i 0.776652 0.215922i
\(121\) −1.31333 5.75408i −0.119394 0.523098i
\(122\) 2.36199 + 14.1684i 0.213845 + 1.28275i
\(123\) 0.663471 0.529101i 0.0598232 0.0477074i
\(124\) −0.573361 + 0.566272i −0.0514894 + 0.0508527i
\(125\) −0.769582 + 0.175652i −0.0688335 + 0.0157108i
\(126\) 1.00632 3.60379i 0.0896504 0.321051i
\(127\) 9.73846 + 2.22274i 0.864148 + 0.197236i 0.631549 0.775336i \(-0.282420\pi\)
0.232600 + 0.972573i \(0.425277\pi\)
\(128\) 4.55609 10.3558i 0.402705 0.915330i
\(129\) 12.5964i 1.10905i
\(130\) −13.8192 12.4271i −1.21202 1.08993i
\(131\) 15.7276 7.57402i 1.37413 0.661745i 0.406389 0.913700i \(-0.366788\pi\)
0.967739 + 0.251955i \(0.0810734\pi\)
\(132\) −4.25296 1.51793i −0.370172 0.132119i
\(133\) −5.62372 + 1.35065i −0.487639 + 0.117116i
\(134\) −2.30937 + 0.948166i −0.199499 + 0.0819091i
\(135\) 3.04377 + 0.694720i 0.261966 + 0.0597920i
\(136\) −1.72063 1.24515i −0.147543 0.106771i
\(137\) 18.3012 8.81338i 1.56357 0.752977i 0.566122 0.824321i \(-0.308443\pi\)
0.997452 + 0.0713439i \(0.0227288\pi\)
\(138\) −1.45507 8.72824i −0.123864 0.742997i
\(139\) 8.96026 + 4.31503i 0.759999 + 0.365996i 0.773404 0.633914i \(-0.218553\pi\)
−0.0134043 + 0.999910i \(0.504267\pi\)
\(140\) −8.86035 13.9433i −0.748836 1.17842i
\(141\) 11.5109 5.54336i 0.969393 0.466835i
\(142\) −7.66157 10.8694i −0.642945 0.912144i
\(143\) 2.11483 + 9.26569i 0.176851 + 0.774836i
\(144\) 3.15811 2.45486i 0.263176 0.204572i
\(145\) 3.14986 + 2.51193i 0.261582 + 0.208604i
\(146\) −8.12788 4.52518i −0.672668 0.374507i
\(147\) −6.99821 + 0.158264i −0.577203 + 0.0130534i
\(148\) 2.05139 + 3.31030i 0.168623 + 0.272105i
\(149\) 10.4176 13.0633i 0.853443 1.07018i −0.143311 0.989678i \(-0.545775\pi\)
0.996754 0.0805058i \(-0.0256535\pi\)
\(150\) 5.48732 3.86786i 0.448038 0.315810i
\(151\) −2.98349 + 0.680962i −0.242793 + 0.0554159i −0.342186 0.939632i \(-0.611167\pi\)
0.0993926 + 0.995048i \(0.468310\pi\)
\(152\) −5.69000 2.41932i −0.461520 0.196232i
\(153\) −0.325809 0.676548i −0.0263401 0.0546957i
\(154\) −0.404550 + 8.43846i −0.0325995 + 0.679990i
\(155\) −0.545809 + 1.13338i −0.0438405 + 0.0910357i
\(156\) −7.92869 2.82985i −0.634803 0.226569i
\(157\) 7.66058 + 15.9073i 0.611381 + 1.26954i 0.945072 + 0.326862i \(0.105991\pi\)
−0.333691 + 0.942682i \(0.608294\pi\)
\(158\) 7.01707 2.88103i 0.558248 0.229203i
\(159\) −1.85688 + 8.13550i −0.147260 + 0.645187i
\(160\) 1.26434 17.6156i 0.0999547 1.39264i
\(161\) −14.8328 + 7.35084i −1.16899 + 0.579328i
\(162\) 1.39496 0.232552i 0.109599 0.0182710i
\(163\) 6.84045 + 14.2043i 0.535785 + 1.11257i 0.976618 + 0.214980i \(0.0689687\pi\)
−0.440833 + 0.897589i \(0.645317\pi\)
\(164\) −0.550582 1.60544i −0.0429932 0.125364i
\(165\) −7.04915 −0.548775
\(166\) −4.95551 + 8.90082i −0.384622 + 0.690838i
\(167\) 0.0438096 0.191942i 0.00339009 0.0148530i −0.973205 0.229941i \(-0.926147\pi\)
0.976595 + 0.215088i \(0.0690038\pi\)
\(168\) −6.11164 4.31832i −0.471523 0.333165i
\(169\) 1.04987 + 4.59976i 0.0807589 + 0.353828i
\(170\) −3.18301 0.927740i −0.244126 0.0711544i
\(171\) −1.36296 1.70909i −0.104228 0.130698i
\(172\) 23.7269 + 8.46841i 1.80916 + 0.645710i
\(173\) 23.6429 5.39634i 1.79754 0.410276i 0.812549 0.582893i \(-0.198079\pi\)
0.984989 + 0.172616i \(0.0552220\pi\)
\(174\) 1.75206 + 0.510666i 0.132823 + 0.0387135i
\(175\) −9.90756 7.71940i −0.748941 0.583532i
\(176\) −5.71842 + 6.99047i −0.431042 + 0.526927i
\(177\) 9.07138 0.681847
\(178\) 19.6650 + 10.9485i 1.47396 + 0.820622i
\(179\) 9.00212 + 2.05468i 0.672850 + 0.153574i 0.545278 0.838256i \(-0.316424\pi\)
0.127573 + 0.991829i \(0.459281\pi\)
\(180\) 3.35488 5.26625i 0.250058 0.392523i
\(181\) −3.24137 + 2.58490i −0.240929 + 0.192134i −0.736509 0.676428i \(-0.763527\pi\)
0.495580 + 0.868562i \(0.334956\pi\)
\(182\) −0.754193 + 15.7316i −0.0559045 + 1.16611i
\(183\) 7.94093 + 6.33268i 0.587010 + 0.468125i
\(184\) −17.4189 3.12709i −1.28414 0.230532i
\(185\) 4.75294 + 3.79034i 0.349443 + 0.278671i
\(186\) −0.0337198 + 0.568829i −0.00247246 + 0.0417086i
\(187\) 1.05710 + 1.32556i 0.0773028 + 0.0969346i
\(188\) −2.70295 25.4089i −0.197133 1.85314i
\(189\) −1.17482 2.37061i −0.0854559 0.172436i
\(190\) −9.63484 0.571147i −0.698985 0.0414354i
\(191\) −3.74677 + 7.78026i −0.271107 + 0.562960i −0.991424 0.130686i \(-0.958282\pi\)
0.720317 + 0.693645i \(0.243996\pi\)
\(192\) −2.50087 7.59906i −0.180485 0.548415i
\(193\) −7.82112 3.76645i −0.562977 0.271115i 0.130676 0.991425i \(-0.458285\pi\)
−0.693652 + 0.720310i \(0.744000\pi\)
\(194\) −0.197537 + 0.0811037i −0.0141823 + 0.00582290i
\(195\) −13.1416 −0.941087
\(196\) −4.40670 + 13.2884i −0.314764 + 0.949170i
\(197\) 8.77346 0.625083 0.312542 0.949904i \(-0.398820\pi\)
0.312542 + 0.949904i \(0.398820\pi\)
\(198\) −2.95383 + 1.21277i −0.209919 + 0.0861875i
\(199\) 3.67429 + 1.76944i 0.260463 + 0.125433i 0.559559 0.828791i \(-0.310971\pi\)
−0.299095 + 0.954223i \(0.596685\pi\)
\(200\) −3.59653 12.9364i −0.254313 0.914739i
\(201\) −0.765912 + 1.59043i −0.0540232 + 0.112180i
\(202\) 4.31451 + 0.255761i 0.303568 + 0.0179953i
\(203\) −0.0385984 3.41397i −0.00270908 0.239614i
\(204\) −1.49340 + 0.158865i −0.104559 + 0.0111227i
\(205\) −1.65188 2.07139i −0.115372 0.144672i
\(206\) 0.299327 5.04944i 0.0208551 0.351811i
\(207\) −4.89190 3.90116i −0.340011 0.271149i
\(208\) −10.6607 + 13.0322i −0.739188 + 0.903619i
\(209\) 3.85890 + 3.07737i 0.266925 + 0.212866i
\(210\) −11.2512 3.14179i −0.776406 0.216804i
\(211\) 11.1768 8.91320i 0.769442 0.613610i −0.158059 0.987430i \(-0.550524\pi\)
0.927501 + 0.373820i \(0.121952\pi\)
\(212\) 14.0758 + 8.96705i 0.966733 + 0.615859i
\(213\) −9.16755 2.09243i −0.628150 0.143371i
\(214\) 14.4848 + 8.06436i 0.990158 + 0.551268i
\(215\) 39.3265 2.68205
\(216\) 0.499776 2.78392i 0.0340054 0.189422i
\(217\) 1.03657 0.248953i 0.0703672 0.0169000i
\(218\) 26.3845 + 7.69020i 1.78699 + 0.520846i
\(219\) −6.41306 + 1.46374i −0.433354 + 0.0989103i
\(220\) −4.73906 + 13.2779i −0.319507 + 0.895197i
\(221\) 1.97073 + 2.47121i 0.132565 + 0.166232i
\(222\) 2.64374 + 0.770563i 0.177437 + 0.0517168i
\(223\) −3.37774 14.7988i −0.226190 0.991004i −0.952715 0.303864i \(-0.901723\pi\)
0.726525 0.687140i \(-0.241134\pi\)
\(224\) −12.2429 + 8.60886i −0.818010 + 0.575204i
\(225\) 1.05634 4.62814i 0.0704229 0.308543i
\(226\) −13.3943 + 24.0580i −0.890973 + 1.60032i
\(227\) −6.77591 −0.449733 −0.224866 0.974390i \(-0.572195\pi\)
−0.224866 + 0.974390i \(0.572195\pi\)
\(228\) −4.13558 + 1.41829i −0.273886 + 0.0939286i
\(229\) 1.69166 + 3.51276i 0.111788 + 0.232130i 0.949356 0.314204i \(-0.101737\pi\)
−0.837568 + 0.546333i \(0.816023\pi\)
\(230\) −27.2500 + 4.54280i −1.79681 + 0.299543i
\(231\) 3.77713 + 4.62805i 0.248517 + 0.304504i
\(232\) 2.13979 2.95690i 0.140484 0.194130i
\(233\) −1.98352 + 8.69038i −0.129945 + 0.569326i 0.867471 + 0.497487i \(0.165744\pi\)
−0.997416 + 0.0718386i \(0.977113\pi\)
\(234\) −5.50675 + 2.26093i −0.359988 + 0.147802i
\(235\) −17.3066 35.9376i −1.12896 2.34431i
\(236\) 6.09858 17.0870i 0.396984 1.11227i
\(237\) 2.32724 4.83257i 0.151171 0.313909i
\(238\) 1.09645 + 2.58688i 0.0710720 + 0.167683i
\(239\) −0.305326 0.634016i −0.0197499 0.0410111i 0.890861 0.454277i \(-0.150102\pi\)
−0.910610 + 0.413266i \(0.864388\pi\)
\(240\) −7.66419 9.85976i −0.494721 0.636445i
\(241\) −20.4870 + 4.67602i −1.31968 + 0.301209i −0.823652 0.567096i \(-0.808067\pi\)
−0.496031 + 0.868305i \(0.665210\pi\)
\(242\) −6.82229 + 4.80884i −0.438553 + 0.309124i
\(243\) 0.623490 0.781831i 0.0399969 0.0501545i
\(244\) 17.2670 10.7003i 1.10540 0.685018i
\(245\) 0.494107 + 21.8487i 0.0315674 + 1.39586i
\(246\) −1.04856 0.583784i −0.0668538 0.0372207i
\(247\) 7.19405 + 5.73706i 0.457746 + 0.365041i
\(248\) 1.04879 + 0.445932i 0.0665982 + 0.0283167i
\(249\) 1.60294 + 7.02292i 0.101582 + 0.445060i
\(250\) 0.643161 + 0.912450i 0.0406770 + 0.0577084i
\(251\) −22.2284 + 10.7047i −1.40305 + 0.675672i −0.973777 0.227504i \(-0.926943\pi\)
−0.429270 + 0.903176i \(0.641229\pi\)
\(252\) −5.25515 + 0.619192i −0.331043 + 0.0390054i
\(253\) 12.7283 + 6.12964i 0.800224 + 0.385367i
\(254\) −2.32294 13.9341i −0.145754 0.874306i
\(255\) −2.11221 + 1.01719i −0.132272 + 0.0636988i
\(256\) −15.9950 0.398061i −0.999690 0.0248788i
\(257\) −11.3538 2.59143i −0.708229 0.161649i −0.146791 0.989167i \(-0.546895\pi\)
−0.561438 + 0.827519i \(0.689752\pi\)
\(258\) 16.4791 6.76591i 1.02595 0.421227i
\(259\) −0.0582426 5.15147i −0.00361902 0.320097i
\(260\) −8.83491 + 24.7537i −0.547918 + 1.53516i
\(261\) 1.16265 0.559902i 0.0719662 0.0346571i
\(262\) −18.3564 16.5073i −1.13406 1.01982i
\(263\) 16.5696i 1.02173i −0.859661 0.510864i \(-0.829326\pi\)
0.859661 0.510864i \(-0.170674\pi\)
\(264\) 0.298569 + 6.37922i 0.0183757 + 0.392614i
\(265\) 25.3994 + 5.79725i 1.56027 + 0.356122i
\(266\) 4.78764 + 6.63171i 0.293549 + 0.406616i
\(267\) 15.5161 3.54145i 0.949570 0.216733i
\(268\) 2.48086 + 2.51192i 0.151543 + 0.153440i
\(269\) 6.90235 5.50444i 0.420844 0.335612i −0.390062 0.920789i \(-0.627546\pi\)
0.810906 + 0.585177i \(0.198975\pi\)
\(270\) −0.726038 4.35513i −0.0441853 0.265045i
\(271\) 2.77844 + 12.1731i 0.168778 + 0.739466i 0.986488 + 0.163835i \(0.0523864\pi\)
−0.817710 + 0.575631i \(0.804756\pi\)
\(272\) −0.704753 + 2.91980i −0.0427319 + 0.177039i
\(273\) 7.04162 + 8.62798i 0.426178 + 0.522189i
\(274\) −21.3601 19.2084i −1.29041 1.16042i
\(275\) 10.7184i 0.646346i
\(276\) −10.6371 + 6.59178i −0.640277 + 0.396779i
\(277\) −5.33018 + 23.3530i −0.320259 + 1.40315i 0.516833 + 0.856086i \(0.327111\pi\)
−0.837092 + 0.547062i \(0.815746\pi\)
\(278\) 0.832276 14.0399i 0.0499166 0.842058i
\(279\) 0.251222 + 0.315023i 0.0150403 + 0.0188599i
\(280\) −13.4820 + 19.0808i −0.805702 + 1.14030i
\(281\) −13.2980 + 16.6751i −0.793290 + 0.994755i 0.206576 + 0.978430i \(0.433768\pi\)
−0.999867 + 0.0163241i \(0.994804\pi\)
\(282\) −13.4349 12.0815i −0.800037 0.719444i
\(283\) −0.223316 + 0.280030i −0.0132748 + 0.0166460i −0.788425 0.615131i \(-0.789103\pi\)
0.775150 + 0.631777i \(0.217674\pi\)
\(284\) −10.1046 + 15.8615i −0.599597 + 0.941206i
\(285\) −5.33586 + 4.25521i −0.316069 + 0.252057i
\(286\) 10.9858 7.74359i 0.649605 0.457888i
\(287\) −0.474829 + 2.19443i −0.0280283 + 0.129533i
\(288\) −4.90786 2.81299i −0.289199 0.165757i
\(289\) −14.8084 7.13137i −0.871085 0.419492i
\(290\) 1.59432 5.47000i 0.0936218 0.321210i
\(291\) −0.0655141 + 0.136041i −0.00384050 + 0.00797489i
\(292\) −1.55429 + 13.0638i −0.0909581 + 0.764503i
\(293\) 23.2621i 1.35899i 0.733682 + 0.679493i \(0.237800\pi\)
−0.733682 + 0.679493i \(0.762200\pi\)
\(294\) 3.96600 + 9.07033i 0.231302 + 0.528992i
\(295\) 28.3213i 1.64893i
\(296\) 3.22881 4.46177i 0.187670 0.259335i
\(297\) −0.979650 + 2.03426i −0.0568450 + 0.118040i
\(298\) −22.6855 6.61205i −1.31413 0.383026i
\(299\) 23.7291 + 11.4274i 1.37229 + 0.660861i
\(300\) −8.00750 5.10119i −0.462313 0.294517i
\(301\) −21.0723 25.8195i −1.21459 1.48821i
\(302\) 2.49338 + 3.53736i 0.143478 + 0.203552i
\(303\) 2.38941 1.90549i 0.137268 0.109468i
\(304\) −0.108779 + 8.74337i −0.00623892 + 0.501467i
\(305\) 19.7709 24.7919i 1.13208 1.41958i
\(306\) −0.710086 + 0.789630i −0.0405929 + 0.0451402i
\(307\) −18.9069 + 23.7086i −1.07908 + 1.35312i −0.147712 + 0.989030i \(0.547191\pi\)
−0.931364 + 0.364088i \(0.881381\pi\)
\(308\) 11.2568 4.00330i 0.641417 0.228109i
\(309\) −2.23007 2.79642i −0.126864 0.159083i
\(310\) 1.77591 + 0.105275i 0.100865 + 0.00597920i
\(311\) −1.27455 + 5.58416i −0.0722730 + 0.316649i −0.998123 0.0612427i \(-0.980494\pi\)
0.925850 + 0.377892i \(0.123351\pi\)
\(312\) 0.556616 + 11.8926i 0.0315122 + 0.673287i
\(313\) 11.4620i 0.647870i −0.946079 0.323935i \(-0.894994\pi\)
0.946079 0.323935i \(-0.105006\pi\)
\(314\) 16.6959 18.5662i 0.942204 1.04775i
\(315\) −7.40115 + 3.66785i −0.417007 + 0.206660i
\(316\) −7.53816 7.63253i −0.424055 0.429363i
\(317\) 1.24478 + 5.45372i 0.0699136 + 0.306312i 0.997780 0.0666022i \(-0.0212158\pi\)
−0.927866 + 0.372914i \(0.878359\pi\)
\(318\) 11.6406 1.94058i 0.652771 0.108822i
\(319\) −2.27798 + 1.81663i −0.127542 + 0.101712i
\(320\) −23.7246 + 7.80783i −1.32624 + 0.436471i
\(321\) 11.4288 2.60854i 0.637891 0.145595i
\(322\) 17.5838 + 15.4566i 0.979909 + 0.861360i
\(323\) 1.60035 + 0.365269i 0.0890457 + 0.0203241i
\(324\) −1.05351 1.70003i −0.0585283 0.0944464i
\(325\) 19.9821i 1.10841i
\(326\) 14.9085 16.5785i 0.825704 0.918199i
\(327\) 17.5085 8.43166i 0.968224 0.466272i
\(328\) −1.80456 + 1.58262i −0.0996403 + 0.0873856i
\(329\) −14.3211 + 30.6189i −0.789549 + 1.68807i
\(330\) 3.78631 + 9.22198i 0.208429 + 0.507653i
\(331\) −23.5793 5.38182i −1.29603 0.295811i −0.481766 0.876300i \(-0.660004\pi\)
−0.814268 + 0.580488i \(0.802862\pi\)
\(332\) 14.3062 + 1.70210i 0.785153 + 0.0934149i
\(333\) 1.75436 0.844857i 0.0961385 0.0462979i
\(334\) −0.274638 + 0.0457845i −0.0150275 + 0.00250522i
\(335\) 4.96540 + 2.39121i 0.271289 + 0.130646i
\(336\) −2.36665 + 10.3150i −0.129111 + 0.562729i
\(337\) 7.55735 3.63943i 0.411675 0.198252i −0.216571 0.976267i \(-0.569487\pi\)
0.628246 + 0.778014i \(0.283773\pi\)
\(338\) 5.45368 3.84414i 0.296641 0.209094i
\(339\) 4.33258 + 18.9823i 0.235313 + 1.03098i
\(340\) 0.495982 + 4.66246i 0.0268984 + 0.252857i
\(341\) −0.711278 0.567225i −0.0385178 0.0307170i
\(342\) −1.50382 + 2.70108i −0.0813172 + 0.146058i
\(343\) 14.0798 12.0316i 0.760239 0.649643i
\(344\) −1.66569 35.5891i −0.0898081 1.91883i
\(345\) −12.1796 + 15.2727i −0.655727 + 0.822256i
\(346\) −19.7590 28.0321i −1.06225 1.50701i
\(347\) 0.152163 0.0347302i 0.00816854 0.00186442i −0.218435 0.975852i \(-0.570095\pi\)
0.226603 + 0.973987i \(0.427238\pi\)
\(348\) −0.273009 2.56641i −0.0146348 0.137574i
\(349\) 12.7426 + 26.4603i 0.682096 + 1.41639i 0.898010 + 0.439975i \(0.145013\pi\)
−0.215914 + 0.976412i \(0.569273\pi\)
\(350\) −4.77718 + 17.1078i −0.255351 + 0.914449i
\(351\) −1.82634 + 3.79243i −0.0974828 + 0.202425i
\(352\) 12.2168 + 3.72628i 0.651155 + 0.198611i
\(353\) −0.125093 0.259758i −0.00665802 0.0138255i 0.897613 0.440784i \(-0.145299\pi\)
−0.904271 + 0.426958i \(0.859585\pi\)
\(354\) −4.87251 11.8675i −0.258971 0.630753i
\(355\) −6.53267 + 28.6215i −0.346718 + 1.51907i
\(356\) 3.76054 31.6073i 0.199308 1.67518i
\(357\) 1.79961 + 0.841717i 0.0952455 + 0.0445484i
\(358\) −2.14730 12.8806i −0.113488 0.680759i
\(359\) −5.48979 11.3997i −0.289740 0.601651i 0.704394 0.709809i \(-0.251219\pi\)
−0.994134 + 0.108158i \(0.965505\pi\)
\(360\) −8.69153 1.56032i −0.458084 0.0822362i
\(361\) −14.2214 −0.748492
\(362\) 5.12271 + 2.85206i 0.269244 + 0.149901i
\(363\) −1.31333 + 5.75408i −0.0689320 + 0.302011i
\(364\) 20.9858 7.46326i 1.09996 0.391181i
\(365\) 4.56986 + 20.0219i 0.239197 + 1.04799i
\(366\) 4.01935 13.7901i 0.210095 0.720820i
\(367\) 3.11165 + 3.90189i 0.162427 + 0.203677i 0.856384 0.516340i \(-0.172706\pi\)
−0.693957 + 0.720016i \(0.744134\pi\)
\(368\) 5.26525 + 24.4678i 0.274470 + 1.27547i
\(369\) −0.827335 + 0.188834i −0.0430694 + 0.00983030i
\(370\) 2.40573 8.25389i 0.125068 0.429099i
\(371\) −9.80358 19.7821i −0.508976 1.02703i
\(372\) 0.762277 0.261421i 0.0395222 0.0135541i
\(373\) −24.4494 −1.26594 −0.632970 0.774176i \(-0.718164\pi\)
−0.632970 + 0.774176i \(0.718164\pi\)
\(374\) 1.16635 2.09494i 0.0603106 0.108327i
\(375\) 0.769582 + 0.175652i 0.0397410 + 0.00907063i
\(376\) −31.7891 + 17.1840i −1.63940 + 0.886197i
\(377\) −4.24678 + 3.38670i −0.218720 + 0.174424i
\(378\) −2.47029 + 2.81028i −0.127058 + 0.144545i
\(379\) 18.1646 + 14.4858i 0.933051 + 0.744083i 0.966850 0.255345i \(-0.0821891\pi\)
−0.0337988 + 0.999429i \(0.510761\pi\)
\(380\) 4.42797 + 12.9115i 0.227150 + 0.662344i
\(381\) −7.80964 6.22798i −0.400100 0.319069i
\(382\) 12.1909 + 0.722671i 0.623743 + 0.0369751i
\(383\) −9.17187 11.5012i −0.468660 0.587682i 0.490182 0.871620i \(-0.336930\pi\)
−0.958842 + 0.283938i \(0.908359\pi\)
\(384\) −8.59810 + 7.35342i −0.438770 + 0.375253i
\(385\) 14.4490 11.7924i 0.736389 0.600995i
\(386\) −0.726467 + 12.2550i −0.0369762 + 0.623762i
\(387\) 5.46538 11.3490i 0.277821 0.576901i
\(388\) 0.212206 + 0.214863i 0.0107731 + 0.0109080i
\(389\) −15.3648 7.39929i −0.779025 0.375159i 0.00172788 0.999999i \(-0.499450\pi\)
−0.780753 + 0.624840i \(0.785164\pi\)
\(390\) 7.05873 + 17.1923i 0.357432 + 0.870567i
\(391\) 4.69844 0.237610
\(392\) 19.7514 1.37256i 0.997594 0.0693248i
\(393\) −17.4563 −0.880556
\(394\) −4.71249 11.4778i −0.237412 0.578243i
\(395\) −15.0875 7.26576i −0.759135 0.365580i
\(396\) 3.17318 + 3.21290i 0.159458 + 0.161454i
\(397\) 16.6744 34.6248i 0.836866 1.73777i 0.180139 0.983641i \(-0.442345\pi\)
0.656727 0.754128i \(-0.271940\pi\)
\(398\) 0.341287 5.75727i 0.0171072 0.288586i
\(399\) 5.65282 + 1.22315i 0.282995 + 0.0612342i
\(400\) −14.9921 + 11.6536i −0.749603 + 0.582681i
\(401\) 12.4272 + 15.5832i 0.620586 + 0.778190i 0.988427 0.151699i \(-0.0484743\pi\)
−0.367841 + 0.929889i \(0.619903\pi\)
\(402\) 2.49206 + 0.147728i 0.124293 + 0.00736799i
\(403\) −1.32602 1.05746i −0.0660537 0.0526761i
\(404\) −1.98285 5.78179i −0.0986507 0.287655i
\(405\) −2.44091 1.94656i −0.121290 0.0967255i
\(406\) −4.44556 + 1.88424i −0.220630 + 0.0935134i
\(407\) −3.43732 + 2.74117i −0.170382 + 0.135875i
\(408\) 1.00998 + 1.86839i 0.0500016 + 0.0924992i
\(409\) 12.1359 + 2.76994i 0.600082 + 0.136965i 0.511762 0.859127i \(-0.328993\pi\)
0.0883204 + 0.996092i \(0.471850\pi\)
\(410\) −1.82260 + 3.27365i −0.0900118 + 0.161674i
\(411\) −20.3128 −1.00195
\(412\) −6.76665 + 2.32061i −0.333369 + 0.114328i
\(413\) −18.5941 + 15.1753i −0.914954 + 0.746729i
\(414\) −2.47607 + 8.49521i −0.121692 + 0.417517i
\(415\) 21.9259 5.00444i 1.07630 0.245658i
\(416\) 22.7754 + 6.94681i 1.11666 + 0.340596i
\(417\) −6.20069 7.77542i −0.303649 0.380764i
\(418\) 1.95321 6.70131i 0.0955344 0.327772i
\(419\) −2.95873 12.9630i −0.144543 0.633286i −0.994346 0.106185i \(-0.966136\pi\)
0.849803 0.527100i \(-0.176721\pi\)
\(420\) 1.93314 + 16.4068i 0.0943278 + 0.800570i
\(421\) 0.265489 1.16318i 0.0129392 0.0566901i −0.968046 0.250772i \(-0.919316\pi\)
0.980985 + 0.194082i \(0.0621727\pi\)
\(422\) −17.6640 9.83439i −0.859870 0.478730i
\(423\) −12.7761 −0.621197
\(424\) 4.17049 23.2311i 0.202537 1.12820i
\(425\) 1.54667 + 3.21168i 0.0750243 + 0.155790i
\(426\) 2.18676 + 13.1173i 0.105949 + 0.635534i
\(427\) −26.8707 + 0.303801i −1.30037 + 0.0147020i
\(428\) 2.76992 23.2812i 0.133889 1.12534i
\(429\) 2.11483 9.26569i 0.102105 0.447352i
\(430\) −21.1235 51.4486i −1.01866 2.48107i
\(431\) −6.88673 14.3004i −0.331722 0.688828i 0.666679 0.745345i \(-0.267715\pi\)
−0.998402 + 0.0565163i \(0.982001\pi\)
\(432\) −3.91048 + 0.841501i −0.188143 + 0.0404867i
\(433\) −6.92016 + 14.3699i −0.332562 + 0.690571i −0.998460 0.0554708i \(-0.982334\pi\)
0.665899 + 0.746042i \(0.268048\pi\)
\(434\) −0.882465 1.22237i −0.0423597 0.0586755i
\(435\) −1.74804 3.62984i −0.0838121 0.174038i
\(436\) −4.11129 38.6479i −0.196895 1.85090i
\(437\) 13.3349 3.04360i 0.637894 0.145595i
\(438\) 5.35957 + 7.60360i 0.256090 + 0.363314i
\(439\) −10.0216 + 12.5666i −0.478303 + 0.599773i −0.961182 0.275914i \(-0.911020\pi\)
0.482879 + 0.875687i \(0.339591\pi\)
\(440\) 19.9162 0.932147i 0.949467 0.0444384i
\(441\) 6.37384 + 2.89382i 0.303516 + 0.137801i
\(442\) 2.17440 3.90555i 0.103426 0.185768i
\(443\) 6.44100 + 5.13653i 0.306021 + 0.244044i 0.764444 0.644691i \(-0.223014\pi\)
−0.458422 + 0.888735i \(0.651585\pi\)
\(444\) −0.411953 3.87254i −0.0195504 0.183783i
\(445\) −11.0566 48.4419i −0.524131 2.29637i
\(446\) −17.5461 + 12.3678i −0.830834 + 0.585632i
\(447\) −15.0539 + 7.24956i −0.712023 + 0.342892i
\(448\) 17.8385 + 11.3925i 0.842788 + 0.538246i
\(449\) −5.20166 2.50499i −0.245482 0.118218i 0.307098 0.951678i \(-0.400642\pi\)
−0.552579 + 0.833460i \(0.686356\pi\)
\(450\) −6.62211 + 1.10396i −0.312169 + 0.0520413i
\(451\) 1.72630 0.831342i 0.0812883 0.0391464i
\(452\) 38.6682 + 4.60061i 1.81880 + 0.216395i
\(453\) 2.98349 + 0.680962i 0.140177 + 0.0319944i
\(454\) 3.63954 + 8.86451i 0.170812 + 0.416032i
\(455\) 26.9369 21.9842i 1.26282 1.03064i
\(456\) 4.07681 + 4.64853i 0.190914 + 0.217687i
\(457\) 22.2625 10.7211i 1.04140 0.501510i 0.166612 0.986023i \(-0.446717\pi\)
0.874784 + 0.484513i \(0.161003\pi\)
\(458\) 3.68690 4.09990i 0.172277 0.191576i
\(459\) 0.750912i 0.0350496i
\(460\) 20.5798 + 33.2094i 0.959540 + 1.54840i
\(461\) 8.13931 + 1.85774i 0.379086 + 0.0865238i 0.407818 0.913063i \(-0.366290\pi\)
−0.0287322 + 0.999587i \(0.509147\pi\)
\(462\) 4.02580 7.42726i 0.187297 0.345547i
\(463\) 28.8224 6.57852i 1.33949 0.305730i 0.508042 0.861332i \(-0.330369\pi\)
0.831448 + 0.555602i \(0.187512\pi\)
\(464\) −5.01768 1.21112i −0.232940 0.0562247i
\(465\) 0.983515 0.784327i 0.0456094 0.0363723i
\(466\) 12.4345 2.07294i 0.576017 0.0960270i
\(467\) −3.83599 16.8066i −0.177509 0.777716i −0.982775 0.184804i \(-0.940835\pi\)
0.805267 0.592913i \(-0.202022\pi\)
\(468\) 5.91568 + 5.98974i 0.273452 + 0.276876i
\(469\) −1.09067 4.54127i −0.0503626 0.209696i
\(470\) −37.7191 + 41.9444i −1.73985 + 1.93475i
\(471\) 17.6558i 0.813538i
\(472\) −25.6297 + 1.19956i −1.17970 + 0.0552141i
\(473\) −6.32871 + 27.7279i −0.290994 + 1.27493i
\(474\) −7.57220 0.448875i −0.347803 0.0206175i
\(475\) 6.47017 + 8.11334i 0.296872 + 0.372265i
\(476\) 2.79533 2.82391i 0.128124 0.129434i
\(477\) 5.20285 6.52417i 0.238222 0.298721i
\(478\) −0.665445 + 0.739988i −0.0304368 + 0.0338463i
\(479\) −4.88805 + 6.12943i −0.223341 + 0.280061i −0.880860 0.473378i \(-0.843035\pi\)
0.657519 + 0.753438i \(0.271606\pi\)
\(480\) −8.78227 + 15.3226i −0.400854 + 0.699376i
\(481\) −6.40813 + 5.11031i −0.292185 + 0.233010i
\(482\) 17.1215 + 24.2903i 0.779864 + 1.10639i
\(483\) 16.5533 0.187152i 0.753203 0.00851573i
\(484\) 9.95557 + 6.34222i 0.452526 + 0.288283i
\(485\) 0.424727 + 0.204538i 0.0192859 + 0.00928758i
\(486\) −1.35772 0.395729i −0.0615873 0.0179506i
\(487\) 0.641610 1.33232i 0.0290741 0.0603731i −0.885926 0.463827i \(-0.846476\pi\)
0.915000 + 0.403454i \(0.132190\pi\)
\(488\) −23.2732 16.8419i −1.05353 0.762395i
\(489\) 15.7656i 0.712946i
\(490\) 28.3180 12.3820i 1.27928 0.559362i
\(491\) 11.9603i 0.539761i 0.962894 + 0.269880i \(0.0869841\pi\)
−0.962894 + 0.269880i \(0.913016\pi\)
\(492\) −0.200516 + 1.68534i −0.00903996 + 0.0759809i
\(493\) −0.420437 + 0.873047i −0.0189356 + 0.0393201i
\(494\) 3.64132 12.4931i 0.163831 0.562091i
\(495\) 6.35106 + 3.05851i 0.285459 + 0.137470i
\(496\) 0.0200504 1.61159i 0.000900288 0.0723626i
\(497\) 22.2916 11.0472i 0.999914 0.495536i
\(498\) 8.32668 5.86925i 0.373128 0.263007i
\(499\) −28.2478 + 22.5269i −1.26455 + 1.00844i −0.265530 + 0.964103i \(0.585547\pi\)
−0.999017 + 0.0443397i \(0.985882\pi\)
\(500\) 0.848243 1.33151i 0.0379346 0.0595470i
\(501\) −0.122752 + 0.153926i −0.00548415 + 0.00687690i
\(502\) 25.9438 + 23.3303i 1.15793 + 1.04128i
\(503\) 13.9354 17.4744i 0.621347 0.779144i −0.367186 0.930147i \(-0.619679\pi\)
0.988533 + 0.151003i \(0.0482503\pi\)
\(504\) 3.63275 + 6.54241i 0.161816 + 0.291422i
\(505\) −5.94904 7.45985i −0.264729 0.331959i
\(506\) 1.18228 19.9441i 0.0525585 0.886625i
\(507\) 1.04987 4.59976i 0.0466261 0.204283i
\(508\) −16.9815 + 10.5234i −0.753431 + 0.466901i
\(509\) 39.3395i 1.74369i −0.489778 0.871847i \(-0.662922\pi\)
0.489778 0.871847i \(-0.337078\pi\)
\(510\) 2.46526 + 2.21692i 0.109164 + 0.0981669i
\(511\) 10.6965 13.7286i 0.473186 0.607316i
\(512\) 8.07066 + 21.1392i 0.356676 + 0.934228i
\(513\) 0.486433 + 2.13120i 0.0214766 + 0.0940949i
\(514\) 2.70825 + 16.2454i 0.119456 + 0.716554i
\(515\) −8.73055 + 6.96238i −0.384714 + 0.306799i
\(516\) −17.7029 17.9245i −0.779325 0.789081i
\(517\) 28.1235 6.41901i 1.23687 0.282308i
\(518\) −6.70807 + 2.84320i −0.294736 + 0.124923i
\(519\) −23.6429 5.39634i −1.03781 0.236873i
\(520\) 37.1293 1.73778i 1.62823 0.0762067i
\(521\) 33.0548i 1.44816i −0.689718 0.724078i \(-0.742266\pi\)
0.689718 0.724078i \(-0.257734\pi\)
\(522\) −1.35698 1.22028i −0.0593934 0.0534104i
\(523\) 29.3529 14.1356i 1.28351 0.618107i 0.337222 0.941425i \(-0.390513\pi\)
0.946290 + 0.323318i \(0.104798\pi\)
\(524\) −11.7357 + 32.8811i −0.512676 + 1.43642i
\(525\) 5.57708 + 11.2537i 0.243404 + 0.491150i
\(526\) −21.6771 + 8.90005i −0.945165 + 0.388061i
\(527\) −0.294978 0.0673269i −0.0128495 0.00293281i
\(528\) 8.18517 3.81707i 0.356214 0.166117i
\(529\) 14.5504 7.00711i 0.632627 0.304657i
\(530\) −6.05859 36.3424i −0.263168 1.57861i
\(531\) −8.17303 3.93592i −0.354679 0.170805i
\(532\) 6.10428 9.82547i 0.264654 0.425988i
\(533\) 3.21830 1.54985i 0.139400 0.0671316i
\(534\) −12.9672 18.3966i −0.561146 0.796097i
\(535\) −8.14398 35.6811i −0.352095 1.54263i
\(536\) 1.95364 4.59478i 0.0843846 0.198464i
\(537\) −7.21914 5.75707i −0.311529 0.248436i
\(538\) −10.9086 6.07333i −0.470303 0.261840i
\(539\) −15.4843 3.16767i −0.666958 0.136441i
\(540\) −5.30758 + 3.28910i −0.228402 + 0.141541i
\(541\) −22.5653 + 28.2959i −0.970156 + 1.21654i 0.00611428 + 0.999981i \(0.498054\pi\)
−0.976270 + 0.216556i \(0.930518\pi\)
\(542\) 14.4330 10.1734i 0.619951 0.436986i
\(543\) 4.04192 0.922541i 0.173455 0.0395900i
\(544\) 4.19834 0.646326i 0.180002 0.0277110i
\(545\) −26.3240 54.6624i −1.12760 2.34148i
\(546\) 7.50520 13.8465i 0.321193 0.592574i
\(547\) −19.0714 + 39.6022i −0.815435 + 1.69327i −0.0995684 + 0.995031i \(0.531746\pi\)
−0.715866 + 0.698237i \(0.753968\pi\)
\(548\) −13.6560 + 38.2615i −0.583356 + 1.63445i
\(549\) −4.40688 9.15098i −0.188081 0.390554i
\(550\) 14.0223 5.75719i 0.597912 0.245488i
\(551\) −0.627714 + 2.75020i −0.0267415 + 0.117162i
\(552\) 14.3371 + 10.3752i 0.610229 + 0.441598i
\(553\) 3.31404 + 13.7988i 0.140927 + 0.586783i
\(554\) 33.4144 5.57046i 1.41964 0.236666i
\(555\) −2.63768 5.47720i −0.111963 0.232494i
\(556\) −18.8146 + 6.45243i −0.797917 + 0.273644i
\(557\) 8.18944 0.346998 0.173499 0.984834i \(-0.444493\pi\)
0.173499 + 0.984834i \(0.444493\pi\)
\(558\) 0.277186 0.497867i 0.0117342 0.0210764i
\(559\) −11.7985 + 51.6925i −0.499022 + 2.18636i
\(560\) 32.2038 + 7.38879i 1.36086 + 0.312233i
\(561\) −0.377275 1.65295i −0.0159285 0.0697875i
\(562\) 28.9578 + 8.44023i 1.22151 + 0.356029i
\(563\) 8.93422 + 11.2032i 0.376533 + 0.472157i 0.933603 0.358308i \(-0.116646\pi\)
−0.557071 + 0.830465i \(0.688075\pi\)
\(564\) −8.58925 + 24.0654i −0.361673 + 1.01334i
\(565\) 59.2635 13.5265i 2.49323 0.569064i
\(566\) 0.486296 + 0.141739i 0.0204405 + 0.00595773i
\(567\) 0.0299110 + 2.64558i 0.00125614 + 0.111104i
\(568\) 26.1781 + 4.69955i 1.09841 + 0.197189i
\(569\) −2.68987 −0.112765 −0.0563826 0.998409i \(-0.517957\pi\)
−0.0563826 + 0.998409i \(0.517957\pi\)
\(570\) 8.43288 + 4.69499i 0.353215 + 0.196651i
\(571\) 8.17051 + 1.86487i 0.341925 + 0.0780422i 0.390035 0.920800i \(-0.372463\pi\)
−0.0481102 + 0.998842i \(0.515320\pi\)
\(572\) −16.0313 10.2128i −0.670302 0.427017i
\(573\) 6.75145 5.38411i 0.282046 0.224924i
\(574\) 3.12589 0.557504i 0.130472 0.0232698i
\(575\) 23.2226 + 18.5194i 0.968451 + 0.772314i
\(576\) −1.04390 + 7.93160i −0.0434959 + 0.330483i
\(577\) −28.7603 22.9356i −1.19731 0.954821i −0.197631 0.980276i \(-0.563325\pi\)
−0.999676 + 0.0254557i \(0.991896\pi\)
\(578\) −1.37549 + 23.2035i −0.0572127 + 0.965137i
\(579\) 5.41238 + 6.78691i 0.224931 + 0.282055i
\(580\) −8.01243 + 0.852346i −0.332698 + 0.0353918i
\(581\) −15.0341 11.7137i −0.623721 0.485967i
\(582\) 0.213164 + 0.0126362i 0.00883594 + 0.000523789i
\(583\) −8.17491 + 16.9754i −0.338570 + 0.703048i
\(584\) 17.9255 4.98359i 0.741762 0.206222i
\(585\) 11.8401 + 5.70191i 0.489530 + 0.235745i
\(586\) 30.4324 12.4948i 1.25715 0.516154i
\(587\) −17.7570 −0.732910 −0.366455 0.930436i \(-0.619429\pi\)
−0.366455 + 0.930436i \(0.619429\pi\)
\(588\) 9.73591 10.0604i 0.401502 0.414885i
\(589\) −0.880807 −0.0362930
\(590\) −37.0510 + 15.2122i −1.52537 + 0.626276i
\(591\) −7.90462 3.80666i −0.325152 0.156585i
\(592\) −7.57136 1.82750i −0.311181 0.0751098i
\(593\) 8.09174 16.8027i 0.332288 0.690003i −0.666153 0.745815i \(-0.732060\pi\)
0.998441 + 0.0558118i \(0.0177747\pi\)
\(594\) 3.18750 + 0.188953i 0.130785 + 0.00775284i
\(595\) 2.62788 5.61846i 0.107733 0.230334i
\(596\) 3.53489 + 33.2296i 0.144795 + 1.36114i
\(597\) −2.54269 3.18843i −0.104065 0.130494i
\(598\) 2.20409 37.1814i 0.0901319 1.52046i
\(599\) 15.6722 + 12.4981i 0.640348 + 0.510661i 0.888985 0.457936i \(-0.151411\pi\)
−0.248637 + 0.968597i \(0.579983\pi\)
\(600\) −2.37252 + 13.2157i −0.0968576 + 0.539530i
\(601\) −29.9587 23.8913i −1.22204 0.974546i −0.222043 0.975037i \(-0.571272\pi\)
−1.00000 0.000490558i \(0.999844\pi\)
\(602\) −22.4595 + 41.4360i −0.915383 + 1.68881i
\(603\) 1.38012 1.10061i 0.0562030 0.0448204i
\(604\) 3.28844 5.16196i 0.133805 0.210037i
\(605\) 17.9645 + 4.10028i 0.730361 + 0.166700i
\(606\) −3.77627 2.10243i −0.153400 0.0854053i
\(607\) −12.5819 −0.510682 −0.255341 0.966851i \(-0.582188\pi\)
−0.255341 + 0.966851i \(0.582188\pi\)
\(608\) 11.4969 4.55401i 0.466259 0.184690i
\(609\) −1.44649 + 3.09263i −0.0586148 + 0.125320i
\(610\) −43.0533 12.5486i −1.74318 0.508078i
\(611\) 52.4301 11.9668i 2.12109 0.484126i
\(612\) 1.41443 + 0.504829i 0.0571751 + 0.0204065i
\(613\) 5.77642 + 7.24340i 0.233307 + 0.292558i 0.884679 0.466201i \(-0.154378\pi\)
−0.651372 + 0.758759i \(0.725806\pi\)
\(614\) 41.1720 + 12.0002i 1.66156 + 0.484290i
\(615\) 0.589548 + 2.58298i 0.0237729 + 0.104156i
\(616\) −11.2836 12.5763i −0.454631 0.506715i
\(617\) 3.90667 17.1162i 0.157277 0.689073i −0.833381 0.552699i \(-0.813598\pi\)
0.990657 0.136374i \(-0.0435450\pi\)
\(618\) −2.46055 + 4.41951i −0.0989779 + 0.177779i
\(619\) −19.2221 −0.772600 −0.386300 0.922373i \(-0.626247\pi\)
−0.386300 + 0.922373i \(0.626247\pi\)
\(620\) −0.816170 2.37986i −0.0327782 0.0955776i
\(621\) 2.71480 + 5.63734i 0.108941 + 0.226219i
\(622\) 7.99002 1.33201i 0.320371 0.0534085i
\(623\) −25.8797 + 33.2156i −1.03685 + 1.33076i
\(624\) 15.2594 7.11607i 0.610866 0.284871i
\(625\) 5.83011 25.5434i 0.233204 1.02173i
\(626\) −14.9950 + 6.15658i −0.599322 + 0.246066i
\(627\) −2.14153 4.44692i −0.0855243 0.177593i
\(628\) −33.2569 11.8698i −1.32709 0.473656i
\(629\) −0.634413 + 1.31737i −0.0252957 + 0.0525271i
\(630\) 8.77381 + 7.71236i 0.349557 + 0.307268i
\(631\) 7.16902 + 14.8866i 0.285394 + 0.592627i 0.993546 0.113433i \(-0.0361848\pi\)
−0.708151 + 0.706061i \(0.750471\pi\)
\(632\) −5.93621 + 13.9614i −0.236130 + 0.555354i
\(633\) −13.9372 + 3.18108i −0.553956 + 0.126437i
\(634\) 6.46617 4.55782i 0.256804 0.181014i
\(635\) −19.4440 + 24.3820i −0.771612 + 0.967571i
\(636\) −8.79125 14.1863i −0.348596 0.562524i
\(637\) −28.8671 5.90542i −1.14376 0.233981i
\(638\) 3.60015 + 2.00438i 0.142531 + 0.0793541i
\(639\) 7.35181 + 5.86287i 0.290833 + 0.231932i
\(640\) 22.9577 + 26.8436i 0.907483 + 1.06109i
\(641\) −3.60571 15.7976i −0.142417 0.623969i −0.994870 0.101165i \(-0.967743\pi\)
0.852453 0.522804i \(-0.175114\pi\)
\(642\) −9.55133 13.5504i −0.376961 0.534793i
\(643\) 14.2270 6.85134i 0.561057 0.270191i −0.131788 0.991278i \(-0.542072\pi\)
0.692844 + 0.721087i \(0.256357\pi\)
\(644\) 10.7761 31.3060i 0.424637 1.23363i
\(645\) −35.4320 17.0631i −1.39513 0.671861i
\(646\) −0.381735 2.28983i −0.0150192 0.0900923i
\(647\) 26.0269 12.5339i 1.02322 0.492758i 0.154466 0.987998i \(-0.450634\pi\)
0.868756 + 0.495240i \(0.164920\pi\)
\(648\) −1.65818 + 2.29138i −0.0651395 + 0.0900140i
\(649\) 19.9684 + 4.55766i 0.783829 + 0.178904i
\(650\) 26.1414 10.7330i 1.02535 0.420983i
\(651\) −1.04194 0.225453i −0.0408367 0.00883622i
\(652\) −29.6965 10.5990i −1.16300 0.415090i
\(653\) 15.7832 7.60080i 0.617645 0.297442i −0.0987766 0.995110i \(-0.531493\pi\)
0.716422 + 0.697667i \(0.245779\pi\)
\(654\) −20.4350 18.3765i −0.799071 0.718576i
\(655\) 54.4995i 2.12947i
\(656\) 3.03973 + 1.51073i 0.118682 + 0.0589840i
\(657\) 6.41306 + 1.46374i 0.250197 + 0.0571059i
\(658\) 47.7491 + 2.28915i 1.86145 + 0.0892403i
\(659\) −29.7658 + 6.79385i −1.15951 + 0.264651i −0.758656 0.651491i \(-0.774144\pi\)
−0.400854 + 0.916142i \(0.631287\pi\)
\(660\) 10.0308 9.90680i 0.390449 0.385622i
\(661\) 12.3670 9.86231i 0.481019 0.383600i −0.352746 0.935719i \(-0.614752\pi\)
0.833765 + 0.552119i \(0.186181\pi\)
\(662\) 5.62443 + 33.7381i 0.218600 + 1.31127i
\(663\) −0.703344 3.08155i −0.0273156 0.119678i
\(664\) −5.45751 19.6301i −0.211793 0.761797i
\(665\) 3.81874 17.6484i 0.148084 0.684374i
\(666\) −2.04760 1.84133i −0.0793428 0.0713501i
\(667\) 8.07427i 0.312637i
\(668\) 0.207414 + 0.334700i 0.00802507 + 0.0129500i
\(669\) −3.37774 + 14.7988i −0.130591 + 0.572156i
\(670\) 0.461212 7.78032i 0.0178182 0.300580i
\(671\) 14.2983 + 17.9295i 0.551980 + 0.692161i
\(672\) 14.7657 2.44434i 0.569598 0.0942925i
\(673\) −15.1530 + 19.0013i −0.584105 + 0.732445i −0.982807 0.184636i \(-0.940889\pi\)
0.398702 + 0.917081i \(0.369461\pi\)
\(674\) −8.82053 7.93198i −0.339754 0.305529i
\(675\) −2.95981 + 3.71148i −0.113923 + 0.142855i
\(676\) −7.95839 5.06991i −0.306092 0.194997i
\(677\) 4.81249 3.83783i 0.184959 0.147500i −0.526633 0.850093i \(-0.676546\pi\)
0.711592 + 0.702593i \(0.247974\pi\)
\(678\) 22.5062 15.8640i 0.864346 0.609253i
\(679\) −0.0932932 0.388448i −0.00358027 0.0149073i
\(680\) 5.83320 3.15321i 0.223693 0.120920i
\(681\) 6.10488 + 2.93996i 0.233940 + 0.112659i
\(682\) −0.360018 + 1.23520i −0.0137858 + 0.0472981i
\(683\) 19.2024 39.8742i 0.734760 1.52574i −0.111964 0.993712i \(-0.535714\pi\)
0.846724 0.532032i \(-0.178571\pi\)
\(684\) 4.34140 + 0.516526i 0.165998 + 0.0197499i
\(685\) 63.4173i 2.42305i
\(686\) −23.3029 11.9573i −0.889707 0.456531i
\(687\) 3.89887i 0.148751i
\(688\) −45.6643 + 21.2951i −1.74094 + 0.811867i
\(689\) −15.2403 + 31.6468i −0.580609 + 1.20565i
\(690\) 26.5224 + 7.73039i 1.00969 + 0.294291i
\(691\) −33.6567 16.2082i −1.28036 0.616589i −0.334877 0.942262i \(-0.608695\pi\)
−0.945482 + 0.325673i \(0.894409\pi\)
\(692\) −26.0595 + 40.9064i −0.990634 + 1.55503i
\(693\) −1.39504 5.80857i −0.0529932 0.220649i
\(694\) −0.127167 0.180411i −0.00482719 0.00684832i
\(695\) −24.2752 + 19.3588i −0.920811 + 0.734323i
\(696\) −3.21083 + 1.73565i −0.121706 + 0.0657898i
\(697\) 0.397308 0.498209i 0.0150491 0.0188710i
\(698\) 27.7720 30.8830i 1.05118 1.16894i
\(699\) 5.55771 6.96914i 0.210212 0.263597i
\(700\) 24.9470 2.93940i 0.942910 0.111099i
\(701\) 8.08209 + 10.1346i 0.305256 + 0.382779i 0.910672 0.413130i \(-0.135565\pi\)
−0.605416 + 0.795910i \(0.706993\pi\)
\(702\) 5.94239 + 0.352261i 0.224281 + 0.0132952i
\(703\) −0.947181 + 4.14987i −0.0357236 + 0.156515i
\(704\) −1.68712 17.9839i −0.0635856 0.677795i
\(705\) 39.8877i 1.50226i
\(706\) −0.272634 + 0.303175i −0.0102607 + 0.0114101i
\(707\) −1.71004 + 7.90299i −0.0643127 + 0.297222i
\(708\) −12.9084 + 12.7488i −0.485128 + 0.479130i
\(709\) −6.05826 26.5430i −0.227523 0.996842i −0.951652 0.307178i \(-0.900615\pi\)
0.724129 0.689664i \(-0.242242\pi\)
\(710\) 40.9527 6.82716i 1.53693 0.256219i
\(711\) −4.19355 + 3.34424i −0.157270 + 0.125419i
\(712\) −43.3698 + 12.0575i −1.62535 + 0.451876i
\(713\) −2.45791 + 0.561001i −0.0920493 + 0.0210097i
\(714\) 0.134544 2.80643i 0.00503517 0.105028i
\(715\) −28.9279 6.60261i −1.08184 0.246923i
\(716\) −15.6975 + 9.72772i −0.586643 + 0.363542i
\(717\) 0.703705i 0.0262803i
\(718\) −11.9648 + 13.3051i −0.446521 + 0.496540i
\(719\) 21.7925 10.4947i 0.812724 0.391387i 0.0191165 0.999817i \(-0.493915\pi\)
0.793608 + 0.608430i \(0.208200\pi\)
\(720\) 2.62720 + 12.2087i 0.0979101 + 0.454991i
\(721\) 9.24917 + 2.00133i 0.344457 + 0.0745333i
\(722\) 7.63871 + 18.6049i 0.284284 + 0.692404i
\(723\) 20.4870 + 4.67602i 0.761919 + 0.173903i
\(724\) 0.979614 8.23365i 0.0364070 0.306001i
\(725\) −5.51928 + 2.65795i −0.204981 + 0.0987137i
\(726\) 8.23315 1.37254i 0.305561 0.0509396i
\(727\) −5.90979 2.84601i −0.219182 0.105552i 0.321071 0.947055i \(-0.395957\pi\)
−0.540253 + 0.841503i \(0.681671\pi\)
\(728\) −21.0358 23.4458i −0.779640 0.868958i
\(729\) −0.900969 + 0.433884i −0.0333692 + 0.0160698i
\(730\) 23.7388 16.7328i 0.878612 0.619309i
\(731\) 2.10478 + 9.22164i 0.0778481 + 0.341075i
\(732\) −20.1997 + 2.14880i −0.746602 + 0.0794220i
\(733\) −7.72035 6.15677i −0.285158 0.227406i 0.470456 0.882424i \(-0.344090\pi\)
−0.755613 + 0.655018i \(0.772661\pi\)
\(734\) 3.43324 6.16660i 0.126723 0.227613i
\(735\) 9.03463 19.8994i 0.333247 0.734001i
\(736\) 29.1816 20.0306i 1.07565 0.738337i
\(737\) −2.48503 + 3.11613i −0.0915374 + 0.114784i
\(738\) 0.691427 + 0.980925i 0.0254518 + 0.0361083i
\(739\) 33.7183 7.69597i 1.24035 0.283101i 0.448478 0.893794i \(-0.351966\pi\)
0.791868 + 0.610693i \(0.209109\pi\)
\(740\) −12.0903 + 1.28614i −0.444447 + 0.0472793i
\(741\) −3.99240 8.29030i −0.146664 0.304552i
\(742\) −20.6139 + 23.4510i −0.756760 + 0.860912i
\(743\) 18.4038 38.2158i 0.675169 1.40200i −0.228403 0.973567i \(-0.573350\pi\)
0.903572 0.428436i \(-0.140935\pi\)
\(744\) −0.751444 0.856824i −0.0275493 0.0314127i
\(745\) 22.6334 + 46.9988i 0.829225 + 1.72190i
\(746\) 13.1325 + 31.9856i 0.480814 + 1.17108i
\(747\) 1.60294 7.02292i 0.0586484 0.256955i
\(748\) −3.36716 0.400614i −0.123116 0.0146479i
\(749\) −19.0623 + 24.4658i −0.696523 + 0.893961i
\(750\) −0.183570 1.10115i −0.00670304 0.0402082i
\(751\) 11.0550 + 22.9560i 0.403404 + 0.837677i 0.999398 + 0.0346883i \(0.0110439\pi\)
−0.595994 + 0.802989i \(0.703242\pi\)
\(752\) 39.5557 + 32.3578i 1.44245 + 1.17997i
\(753\) 24.6717 0.899087
\(754\) 6.71168 + 3.73671i 0.244425 + 0.136083i
\(755\) 2.12599 9.31459i 0.0773728 0.338993i
\(756\) 5.00338 + 1.72225i 0.181971 + 0.0626377i
\(757\) −7.73434 33.8864i −0.281109 1.23162i −0.896374 0.443300i \(-0.853808\pi\)
0.615264 0.788321i \(-0.289049\pi\)
\(758\) 9.19412 31.5443i 0.333945 1.14574i
\(759\) −8.80828 11.0452i −0.319720 0.400917i
\(760\) 14.5129 12.7280i 0.526438 0.461692i
\(761\) −42.2373 + 9.64038i −1.53110 + 0.349464i −0.903334 0.428938i \(-0.858888\pi\)
−0.627766 + 0.778402i \(0.716031\pi\)
\(762\) −3.95290 + 13.5621i −0.143198 + 0.491303i
\(763\) −21.7830 + 46.5724i −0.788596 + 1.68604i
\(764\) −5.60269 16.3369i −0.202698 0.591047i
\(765\) 2.34438 0.0847613
\(766\) −10.1198 + 18.1766i −0.365643 + 0.656748i
\(767\) 37.2266 + 8.49674i 1.34418 + 0.306799i
\(768\) 14.2383 + 7.29863i 0.513781 + 0.263367i
\(769\) 17.3956 13.8726i 0.627303 0.500257i −0.257466 0.966287i \(-0.582888\pi\)
0.884769 + 0.466030i \(0.154316\pi\)
\(770\) −23.1882 12.5687i −0.835646 0.452945i
\(771\) 9.10503 + 7.26102i 0.327909 + 0.261499i