Properties

Label 930.2.br.a.11.9
Level $930$
Weight $2$
Character 930.11
Analytic conductor $7.426$
Analytic rank $0$
Dimension $176$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.br (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(176\)
Relative dimension: \(22\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 11.9
Character \(\chi\) \(=\) 930.11
Dual form 930.2.br.a.761.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.951057 + 0.309017i) q^{2} +(1.11822 - 1.32272i) q^{3} +(0.809017 - 0.587785i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-0.654747 + 1.60353i) q^{6} +(0.396236 + 3.76994i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(-0.499172 - 2.95818i) q^{9} +O(q^{10})\) \(q+(-0.951057 + 0.309017i) q^{2} +(1.11822 - 1.32272i) q^{3} +(0.809017 - 0.587785i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-0.654747 + 1.60353i) q^{6} +(0.396236 + 3.76994i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(-0.499172 - 2.95818i) q^{9} +(-0.669131 + 0.743145i) q^{10} +(-3.50186 - 1.55913i) q^{11} +(0.127184 - 1.72737i) q^{12} +(1.20728 + 5.67981i) q^{13} +(-1.54182 - 3.46298i) q^{14} +(0.307047 - 1.70462i) q^{15} +(0.309017 - 0.951057i) q^{16} +(2.94491 - 1.31116i) q^{17} +(1.38887 + 2.65914i) q^{18} +(6.45384 + 1.37181i) q^{19} +(0.406737 - 0.913545i) q^{20} +(5.42965 + 3.69151i) q^{21} +(3.81227 + 0.400685i) q^{22} +(5.27071 + 3.82939i) q^{23} +(0.412829 + 1.68213i) q^{24} +(0.500000 - 0.866025i) q^{25} +(-2.90335 - 5.02875i) q^{26} +(-4.47102 - 2.64763i) q^{27} +(2.53648 + 2.81704i) q^{28} +(2.71005 + 8.34068i) q^{29} +(0.234737 + 1.71607i) q^{30} +(0.212774 - 5.56370i) q^{31} +1.00000i q^{32} +(-5.97814 + 2.88853i) q^{33} +(-2.39561 + 2.15701i) q^{34} +(2.22812 + 3.06674i) q^{35} +(-2.14261 - 2.09981i) q^{36} +(-2.61824 - 1.51164i) q^{37} +(-6.56188 + 0.689681i) q^{38} +(8.86280 + 4.75438i) q^{39} +(-0.104528 + 0.994522i) q^{40} +(-4.97903 - 4.48314i) q^{41} +(-6.30464 - 1.83298i) q^{42} +(1.30393 - 6.13450i) q^{43} +(-3.74950 + 0.796981i) q^{44} +(-1.91139 - 2.31227i) q^{45} +(-6.19609 - 2.01323i) q^{46} +(10.3627 + 3.36705i) q^{47} +(-0.912432 - 1.47223i) q^{48} +(-7.20840 + 1.53219i) q^{49} +(-0.207912 + 0.978148i) q^{50} +(1.55876 - 5.36145i) q^{51} +(4.31522 + 3.88544i) q^{52} +(0.652891 - 6.21184i) q^{53} +(5.07036 + 1.13642i) q^{54} +(-3.81227 + 0.400685i) q^{55} +(-3.28285 - 1.89535i) q^{56} +(9.03132 - 7.00264i) q^{57} +(-5.15482 - 7.09500i) q^{58} +(-3.01511 + 2.71481i) q^{59} +(-0.753543 - 1.55954i) q^{60} +10.0367i q^{61} +(1.51692 + 5.35714i) q^{62} +(10.9544 - 3.05398i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(3.88544 + 4.31522i) q^{65} +(4.79295 - 4.59450i) q^{66} +(-2.41388 - 4.18096i) q^{67} +(1.61180 - 2.79172i) q^{68} +(10.9590 - 2.68957i) q^{69} +(-3.06674 - 2.22812i) q^{70} +(0.247791 + 0.0260439i) q^{71} +(2.68662 + 1.33494i) q^{72} +(2.26238 - 5.08138i) q^{73} +(2.95722 + 0.628577i) q^{74} +(-0.586399 - 1.62977i) q^{75} +(6.02759 - 2.68366i) q^{76} +(4.49026 - 13.8196i) q^{77} +(-9.89821 - 1.78293i) q^{78} +(0.661137 + 1.48494i) q^{79} +(-0.207912 - 0.978148i) q^{80} +(-8.50166 + 2.95328i) q^{81} +(6.12071 + 2.72511i) q^{82} +(1.71819 - 1.90824i) q^{83} +(6.56249 - 0.204975i) q^{84} +(1.89479 - 2.60795i) q^{85} +(0.655555 + 6.23719i) q^{86} +(14.0628 + 5.74207i) q^{87} +(3.31971 - 1.91663i) q^{88} +(-0.635760 + 0.461907i) q^{89} +(2.53237 + 1.60845i) q^{90} +(-20.9342 + 6.80192i) q^{91} +6.51496 q^{92} +(-7.12128 - 6.50287i) q^{93} -10.8960 q^{94} +(6.27509 - 2.03890i) q^{95} +(1.32272 + 1.11822i) q^{96} +(-1.23929 + 0.900398i) q^{97} +(6.38212 - 3.68472i) q^{98} +(-2.86416 + 11.1374i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 176q + 44q^{4} + 4q^{7} - 4q^{9} + O(q^{10}) \) \( 176q + 44q^{4} + 4q^{7} - 4q^{9} - 22q^{10} - 38q^{13} - 44q^{16} + 12q^{18} + 8q^{19} - 18q^{21} - 4q^{22} + 88q^{25} - 90q^{27} + 36q^{28} + 24q^{31} + 18q^{33} + 14q^{34} + 4q^{36} - 42q^{37} - 42q^{39} + 22q^{40} - 12q^{42} - 34q^{43} - 8q^{45} + 10q^{46} + 22q^{49} + 26q^{51} - 2q^{52} + 4q^{55} + 114q^{57} + 32q^{63} + 44q^{64} - 42q^{66} + 20q^{67} + 16q^{69} + 8q^{70} - 12q^{72} - 28q^{73} + 12q^{76} - 92q^{78} - 56q^{79} - 124q^{81} - 32q^{82} - 12q^{84} - 36q^{87} - 6q^{88} + 24q^{90} - 140q^{91} - 104q^{93} - 36q^{94} + 88q^{97} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{23}{30}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.951057 + 0.309017i −0.672499 + 0.218508i
\(3\) 1.11822 1.32272i 0.645604 0.763672i
\(4\) 0.809017 0.587785i 0.404508 0.293893i
\(5\) 0.866025 0.500000i 0.387298 0.223607i
\(6\) −0.654747 + 1.60353i −0.267299 + 0.654638i
\(7\) 0.396236 + 3.76994i 0.149763 + 1.42490i 0.768774 + 0.639520i \(0.220867\pi\)
−0.619011 + 0.785382i \(0.712466\pi\)
\(8\) −0.587785 + 0.809017i −0.207813 + 0.286031i
\(9\) −0.499172 2.95818i −0.166391 0.986060i
\(10\) −0.669131 + 0.743145i −0.211598 + 0.235003i
\(11\) −3.50186 1.55913i −1.05585 0.470095i −0.195981 0.980608i \(-0.562789\pi\)
−0.859870 + 0.510512i \(0.829456\pi\)
\(12\) 0.127184 1.72737i 0.0367147 0.498650i
\(13\) 1.20728 + 5.67981i 0.334839 + 1.57530i 0.747405 + 0.664368i \(0.231299\pi\)
−0.412566 + 0.910928i \(0.635367\pi\)
\(14\) −1.54182 3.46298i −0.412068 0.925520i
\(15\) 0.307047 1.70462i 0.0792791 0.440130i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) 2.94491 1.31116i 0.714245 0.318003i −0.0172478 0.999851i \(-0.505490\pi\)
0.731493 + 0.681849i \(0.238824\pi\)
\(18\) 1.38887 + 2.65914i 0.327359 + 0.626766i
\(19\) 6.45384 + 1.37181i 1.48061 + 0.314714i 0.876196 0.481955i \(-0.160073\pi\)
0.604416 + 0.796669i \(0.293406\pi\)
\(20\) 0.406737 0.913545i 0.0909491 0.204275i
\(21\) 5.42965 + 3.69151i 1.18485 + 0.805553i
\(22\) 3.81227 + 0.400685i 0.812778 + 0.0854264i
\(23\) 5.27071 + 3.82939i 1.09902 + 0.798484i 0.980899 0.194515i \(-0.0623134\pi\)
0.118119 + 0.992999i \(0.462313\pi\)
\(24\) 0.412829 + 1.68213i 0.0842685 + 0.343364i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) −2.90335 5.02875i −0.569394 0.986219i
\(27\) −4.47102 2.64763i −0.860449 0.509537i
\(28\) 2.53648 + 2.81704i 0.479349 + 0.532371i
\(29\) 2.71005 + 8.34068i 0.503244 + 1.54882i 0.803703 + 0.595030i \(0.202860\pi\)
−0.300460 + 0.953794i \(0.597140\pi\)
\(30\) 0.234737 + 1.71607i 0.0428569 + 0.313310i
\(31\) 0.212774 5.56370i 0.0382153 0.999270i
\(32\) 1.00000i 0.176777i
\(33\) −5.97814 + 2.88853i −1.04066 + 0.502829i
\(34\) −2.39561 + 2.15701i −0.410843 + 0.369925i
\(35\) 2.22812 + 3.06674i 0.376621 + 0.518374i
\(36\) −2.14261 2.09981i −0.357102 0.349969i
\(37\) −2.61824 1.51164i −0.430437 0.248513i 0.269096 0.963113i \(-0.413275\pi\)
−0.699533 + 0.714601i \(0.746608\pi\)
\(38\) −6.56188 + 0.689681i −1.06448 + 0.111881i
\(39\) 8.86280 + 4.75438i 1.41918 + 0.761310i
\(40\) −0.104528 + 0.994522i −0.0165274 + 0.157248i
\(41\) −4.97903 4.48314i −0.777594 0.700149i 0.181452 0.983400i \(-0.441920\pi\)
−0.959046 + 0.283251i \(0.908587\pi\)
\(42\) −6.30464 1.83298i −0.972827 0.282835i
\(43\) 1.30393 6.13450i 0.198847 0.935503i −0.759635 0.650350i \(-0.774622\pi\)
0.958482 0.285153i \(-0.0920443\pi\)
\(44\) −3.74950 + 0.796981i −0.565258 + 0.120149i
\(45\) −1.91139 2.31227i −0.284932 0.344693i
\(46\) −6.19609 2.01323i −0.913564 0.296835i
\(47\) 10.3627 + 3.36705i 1.51156 + 0.491135i 0.943364 0.331760i \(-0.107642\pi\)
0.568194 + 0.822895i \(0.307642\pi\)
\(48\) −0.912432 1.47223i −0.131698 0.212498i
\(49\) −7.20840 + 1.53219i −1.02977 + 0.218885i
\(50\) −0.207912 + 0.978148i −0.0294032 + 0.138331i
\(51\) 1.55876 5.36145i 0.218270 0.750753i
\(52\) 4.31522 + 3.88544i 0.598413 + 0.538814i
\(53\) 0.652891 6.21184i 0.0896815 0.853262i −0.853524 0.521053i \(-0.825539\pi\)
0.943206 0.332209i \(-0.107794\pi\)
\(54\) 5.07036 + 1.13642i 0.689988 + 0.154648i
\(55\) −3.81227 + 0.400685i −0.514046 + 0.0540284i
\(56\) −3.28285 1.89535i −0.438689 0.253277i
\(57\) 9.03132 7.00264i 1.19623 0.927522i
\(58\) −5.15482 7.09500i −0.676861 0.931619i
\(59\) −3.01511 + 2.71481i −0.392534 + 0.353439i −0.841640 0.540040i \(-0.818409\pi\)
0.449106 + 0.893478i \(0.351743\pi\)
\(60\) −0.753543 1.55954i −0.0972820 0.201336i
\(61\) 10.0367i 1.28507i 0.766258 + 0.642533i \(0.222117\pi\)
−0.766258 + 0.642533i \(0.777883\pi\)
\(62\) 1.51692 + 5.35714i 0.192649 + 0.680358i
\(63\) 10.9544 3.05398i 1.38012 0.384766i
\(64\) −0.309017 0.951057i −0.0386271 0.118882i
\(65\) 3.88544 + 4.31522i 0.481930 + 0.535237i
\(66\) 4.79295 4.59450i 0.589971 0.565544i
\(67\) −2.41388 4.18096i −0.294902 0.510785i 0.680060 0.733156i \(-0.261954\pi\)
−0.974962 + 0.222371i \(0.928620\pi\)
\(68\) 1.61180 2.79172i 0.195460 0.338546i
\(69\) 10.9590 2.68957i 1.31931 0.323786i
\(70\) −3.06674 2.22812i −0.366546 0.266311i
\(71\) 0.247791 + 0.0260439i 0.0294074 + 0.00309084i 0.119221 0.992868i \(-0.461960\pi\)
−0.0898134 + 0.995959i \(0.528627\pi\)
\(72\) 2.68662 + 1.33494i 0.316622 + 0.157324i
\(73\) 2.26238 5.08138i 0.264791 0.594731i −0.731398 0.681951i \(-0.761132\pi\)
0.996189 + 0.0872203i \(0.0277984\pi\)
\(74\) 2.95722 + 0.628577i 0.343770 + 0.0730706i
\(75\) −0.586399 1.62977i −0.0677115 0.188189i
\(76\) 6.02759 2.68366i 0.691412 0.307837i
\(77\) 4.49026 13.8196i 0.511712 1.57489i
\(78\) −9.89821 1.78293i −1.12075 0.201877i
\(79\) 0.661137 + 1.48494i 0.0743837 + 0.167069i 0.946910 0.321498i \(-0.104186\pi\)
−0.872526 + 0.488567i \(0.837520\pi\)
\(80\) −0.207912 0.978148i −0.0232452 0.109360i
\(81\) −8.50166 + 2.95328i −0.944628 + 0.328142i
\(82\) 6.12071 + 2.72511i 0.675919 + 0.300939i
\(83\) 1.71819 1.90824i 0.188595 0.209456i −0.641431 0.767181i \(-0.721659\pi\)
0.830026 + 0.557725i \(0.188325\pi\)
\(84\) 6.56249 0.204975i 0.716027 0.0223646i
\(85\) 1.89479 2.60795i 0.205519 0.282872i
\(86\) 0.655555 + 6.23719i 0.0706904 + 0.672574i
\(87\) 14.0628 + 5.74207i 1.50769 + 0.615614i
\(88\) 3.31971 1.91663i 0.353882 0.204314i
\(89\) −0.635760 + 0.461907i −0.0673904 + 0.0489620i −0.620970 0.783834i \(-0.713261\pi\)
0.553580 + 0.832796i \(0.313261\pi\)
\(90\) 2.53237 + 1.60845i 0.266935 + 0.169546i
\(91\) −20.9342 + 6.80192i −2.19450 + 0.713035i
\(92\) 6.51496 0.679231
\(93\) −7.12128 6.50287i −0.738442 0.674317i
\(94\) −10.8960 −1.12384
\(95\) 6.27509 2.03890i 0.643811 0.209187i
\(96\) 1.32272 + 1.11822i 0.134999 + 0.114128i
\(97\) −1.23929 + 0.900398i −0.125831 + 0.0914216i −0.648921 0.760856i \(-0.724779\pi\)
0.523090 + 0.852278i \(0.324779\pi\)
\(98\) 6.38212 3.68472i 0.644691 0.372213i
\(99\) −2.86416 + 11.1374i −0.287859 + 1.11935i
\(100\) −0.104528 0.994522i −0.0104528 0.0994522i
\(101\) −3.47758 + 4.78648i −0.346032 + 0.476272i −0.946191 0.323608i \(-0.895104\pi\)
0.600159 + 0.799881i \(0.295104\pi\)
\(102\) 0.174310 + 5.58073i 0.0172593 + 0.552574i
\(103\) −3.85034 + 4.27623i −0.379385 + 0.421350i −0.902350 0.431005i \(-0.858159\pi\)
0.522965 + 0.852354i \(0.324826\pi\)
\(104\) −5.30468 2.36180i −0.520167 0.231593i
\(105\) 6.54797 + 0.482115i 0.639016 + 0.0470496i
\(106\) 1.29863 + 6.10957i 0.126134 + 0.593414i
\(107\) −6.14722 13.8069i −0.594274 1.33476i −0.920970 0.389633i \(-0.872602\pi\)
0.326696 0.945130i \(-0.394065\pi\)
\(108\) −5.17337 + 0.486024i −0.497808 + 0.0467677i
\(109\) 1.32448 4.07633i 0.126862 0.390441i −0.867374 0.497657i \(-0.834194\pi\)
0.994236 + 0.107216i \(0.0341937\pi\)
\(110\) 3.50186 1.55913i 0.333890 0.148657i
\(111\) −4.92725 + 1.77285i −0.467674 + 0.168272i
\(112\) 3.70787 + 0.788132i 0.350361 + 0.0744714i
\(113\) −6.73568 + 15.1286i −0.633640 + 1.42318i 0.256073 + 0.966657i \(0.417571\pi\)
−0.889713 + 0.456520i \(0.849096\pi\)
\(114\) −6.42536 + 9.45074i −0.601790 + 0.885143i
\(115\) 6.47927 + 0.680998i 0.604195 + 0.0635034i
\(116\) 7.09500 + 5.15482i 0.658754 + 0.478613i
\(117\) 16.1993 6.40655i 1.49762 0.592286i
\(118\) 2.02861 3.51366i 0.186749 0.323459i
\(119\) 6.10986 + 10.5826i 0.560090 + 0.970105i
\(120\) 1.19859 + 1.25036i 0.109416 + 0.114141i
\(121\) 2.47172 + 2.74513i 0.224702 + 0.249557i
\(122\) −3.10151 9.54546i −0.280797 0.864205i
\(123\) −11.4976 + 1.57273i −1.03670 + 0.141808i
\(124\) −3.09812 4.62619i −0.278220 0.415444i
\(125\) 1.00000i 0.0894427i
\(126\) −9.47449 + 6.28960i −0.844054 + 0.560322i
\(127\) −3.09928 + 2.79061i −0.275017 + 0.247626i −0.795084 0.606499i \(-0.792573\pi\)
0.520068 + 0.854125i \(0.325907\pi\)
\(128\) 0.587785 + 0.809017i 0.0519534 + 0.0715077i
\(129\) −6.65614 8.58445i −0.586041 0.755818i
\(130\) −5.02875 2.90335i −0.441051 0.254641i
\(131\) 9.25144 0.972365i 0.808302 0.0849559i 0.308643 0.951178i \(-0.400125\pi\)
0.499659 + 0.866222i \(0.333459\pi\)
\(132\) −3.13858 + 5.85074i −0.273178 + 0.509241i
\(133\) −2.61438 + 24.8741i −0.226695 + 2.15686i
\(134\) 3.58772 + 3.23040i 0.309932 + 0.279064i
\(135\) −5.19584 0.0574027i −0.447186 0.00494044i
\(136\) −0.670225 + 3.15316i −0.0574713 + 0.270381i
\(137\) 12.0272 2.55646i 1.02755 0.218413i 0.336855 0.941557i \(-0.390637\pi\)
0.690698 + 0.723143i \(0.257303\pi\)
\(138\) −9.59153 + 5.94445i −0.816485 + 0.506025i
\(139\) 20.5506 + 6.67730i 1.74308 + 0.566361i 0.995235 0.0975099i \(-0.0310878\pi\)
0.747847 + 0.663871i \(0.231088\pi\)
\(140\) 3.60517 + 1.17139i 0.304693 + 0.0990007i
\(141\) 16.0414 9.94186i 1.35093 0.837256i
\(142\) −0.243711 + 0.0518024i −0.0204518 + 0.00434716i
\(143\) 4.62783 21.7722i 0.386999 1.82069i
\(144\) −2.96765 0.439388i −0.247304 0.0366156i
\(145\) 6.51731 + 5.86821i 0.541233 + 0.487328i
\(146\) −0.581415 + 5.53179i −0.0481182 + 0.457815i
\(147\) −6.03391 + 11.2480i −0.497668 + 0.927720i
\(148\) −3.00673 + 0.316020i −0.247151 + 0.0259766i
\(149\) −6.33942 3.66006i −0.519345 0.299844i 0.217321 0.976100i \(-0.430268\pi\)
−0.736667 + 0.676256i \(0.763601\pi\)
\(150\) 1.06132 + 1.36879i 0.0866567 + 0.111761i
\(151\) −8.39415 11.5536i −0.683106 0.940215i 0.316860 0.948472i \(-0.397372\pi\)
−0.999966 + 0.00825726i \(0.997372\pi\)
\(152\) −4.90329 + 4.41494i −0.397709 + 0.358099i
\(153\) −5.34866 8.05708i −0.432413 0.651376i
\(154\) 14.5308i 1.17092i
\(155\) −2.59758 4.92469i −0.208643 0.395561i
\(156\) 9.96471 1.36305i 0.797815 0.109131i
\(157\) 1.16710 + 3.59195i 0.0931444 + 0.286669i 0.986766 0.162153i \(-0.0518438\pi\)
−0.893621 + 0.448822i \(0.851844\pi\)
\(158\) −1.08765 1.20796i −0.0865287 0.0960999i
\(159\) −7.48645 7.80980i −0.593714 0.619357i
\(160\) 0.500000 + 0.866025i 0.0395285 + 0.0684653i
\(161\) −12.3481 + 21.3876i −0.973169 + 1.68558i
\(162\) 7.17294 5.43589i 0.563560 0.427084i
\(163\) 8.48299 + 6.16325i 0.664439 + 0.482743i 0.868159 0.496286i \(-0.165303\pi\)
−0.203720 + 0.979029i \(0.565303\pi\)
\(164\) −6.66325 0.700335i −0.520312 0.0546870i
\(165\) −3.73296 + 5.49061i −0.290610 + 0.427444i
\(166\) −1.04441 + 2.34579i −0.0810622 + 0.182069i
\(167\) −10.3523 2.20044i −0.801083 0.170275i −0.210861 0.977516i \(-0.567627\pi\)
−0.590222 + 0.807241i \(0.700960\pi\)
\(168\) −6.17796 + 2.22286i −0.476640 + 0.171498i
\(169\) −18.9266 + 8.42668i −1.45589 + 0.648206i
\(170\) −0.996149 + 3.06583i −0.0764011 + 0.235138i
\(171\) 0.836476 19.7764i 0.0639669 1.51234i
\(172\) −2.55087 5.72935i −0.194502 0.436858i
\(173\) 4.58062 + 21.5501i 0.348258 + 1.63843i 0.708604 + 0.705607i \(0.249325\pi\)
−0.360346 + 0.932819i \(0.617341\pi\)
\(174\) −15.1489 1.11539i −1.14844 0.0845574i
\(175\) 3.46298 + 1.54182i 0.261777 + 0.116550i
\(176\) −2.56496 + 2.84867i −0.193341 + 0.214727i
\(177\) 0.219386 + 7.02390i 0.0164901 + 0.527949i
\(178\) 0.461907 0.635760i 0.0346214 0.0476522i
\(179\) −1.91175 18.1891i −0.142891 1.35952i −0.797395 0.603458i \(-0.793789\pi\)
0.654504 0.756059i \(-0.272878\pi\)
\(180\) −2.90546 0.747184i −0.216560 0.0556918i
\(181\) −18.0716 + 10.4337i −1.34325 + 0.775527i −0.987283 0.158970i \(-0.949183\pi\)
−0.355969 + 0.934498i \(0.615849\pi\)
\(182\) 17.8077 12.9380i 1.31999 0.959030i
\(183\) 13.2757 + 11.2232i 0.981370 + 0.829644i
\(184\) −6.19609 + 2.01323i −0.456782 + 0.148417i
\(185\) −3.02329 −0.222277
\(186\) 8.78224 + 3.98400i 0.643945 + 0.292121i
\(187\) −12.3569 −0.903629
\(188\) 10.3627 3.36705i 0.755779 0.245567i
\(189\) 8.20982 17.9046i 0.597176 1.30237i
\(190\) −5.33791 + 3.87822i −0.387253 + 0.281356i
\(191\) −2.58975 + 1.49519i −0.187388 + 0.108188i −0.590759 0.806848i \(-0.701172\pi\)
0.403371 + 0.915036i \(0.367838\pi\)
\(192\) −1.60353 0.654747i −0.115725 0.0472523i
\(193\) −2.81006 26.7360i −0.202273 1.92450i −0.352438 0.935835i \(-0.614647\pi\)
0.150165 0.988661i \(-0.452019\pi\)
\(194\) 0.900398 1.23929i 0.0646448 0.0889760i
\(195\) 10.0526 0.313986i 0.719882 0.0224850i
\(196\) −4.93111 + 5.47656i −0.352222 + 0.391183i
\(197\) 12.3527 + 5.49978i 0.880094 + 0.391843i 0.796487 0.604656i \(-0.206689\pi\)
0.0836068 + 0.996499i \(0.473356\pi\)
\(198\) −0.717676 11.4774i −0.0510030 0.815662i
\(199\) −5.46565 25.7139i −0.387450 1.82281i −0.548853 0.835919i \(-0.684935\pi\)
0.161403 0.986889i \(-0.448398\pi\)
\(200\) 0.406737 + 0.913545i 0.0287606 + 0.0645974i
\(201\) −8.22947 1.48235i −0.580462 0.104557i
\(202\) 1.82827 5.62684i 0.128637 0.395903i
\(203\) −30.3700 + 13.5216i −2.13156 + 0.949030i
\(204\) −1.89032 5.25372i −0.132349 0.367834i
\(205\) −6.55354 1.39300i −0.457719 0.0972912i
\(206\) 2.34046 5.25676i 0.163068 0.366256i
\(207\) 8.69705 17.5032i 0.604487 1.21656i
\(208\) 5.77489 + 0.606965i 0.400417 + 0.0420855i
\(209\) −20.4616 14.8663i −1.41536 1.02832i
\(210\) −6.37647 + 1.56491i −0.440018 + 0.107989i
\(211\) −0.171275 + 0.296656i −0.0117910 + 0.0204227i −0.871861 0.489754i \(-0.837087\pi\)
0.860070 + 0.510177i \(0.170420\pi\)
\(212\) −3.12303 5.40925i −0.214491 0.371509i
\(213\) 0.311533 0.298635i 0.0213459 0.0204621i
\(214\) 10.1129 + 11.2315i 0.691305 + 0.767772i
\(215\) −1.93802 5.96460i −0.132172 0.406782i
\(216\) 4.76998 2.06090i 0.324556 0.140226i
\(217\) 21.0591 1.40240i 1.42959 0.0952009i
\(218\) 4.28610i 0.290292i
\(219\) −4.19141 8.67459i −0.283229 0.586174i
\(220\) −2.84867 + 2.56496i −0.192057 + 0.172929i
\(221\) 11.0025 + 15.1436i 0.740106 + 1.01867i
\(222\) 4.13825 3.20869i 0.277741 0.215353i
\(223\) −11.8694 6.85282i −0.794836 0.458899i 0.0468261 0.998903i \(-0.485089\pi\)
−0.841662 + 0.540004i \(0.818423\pi\)
\(224\) −3.76994 + 0.396236i −0.251890 + 0.0264747i
\(225\) −2.81144 1.04679i −0.187430 0.0697863i
\(226\) 1.73102 16.4696i 0.115146 1.09554i
\(227\) −1.73701 1.56401i −0.115290 0.103807i 0.609470 0.792809i \(-0.291382\pi\)
−0.724759 + 0.689002i \(0.758049\pi\)
\(228\) 3.19045 10.9737i 0.211292 0.726753i
\(229\) 1.57266 7.39880i 0.103925 0.488926i −0.895144 0.445777i \(-0.852927\pi\)
0.999069 0.0431496i \(-0.0137392\pi\)
\(230\) −6.37259 + 1.35454i −0.420196 + 0.0893154i
\(231\) −13.2583 21.3927i −0.872335 1.40754i
\(232\) −8.34068 2.71005i −0.547592 0.177923i
\(233\) 1.61858 + 0.525910i 0.106037 + 0.0344535i 0.361555 0.932351i \(-0.382246\pi\)
−0.255518 + 0.966804i \(0.582246\pi\)
\(234\) −13.4267 + 11.0988i −0.877729 + 0.725554i
\(235\) 10.6579 2.26541i 0.695245 0.147779i
\(236\) −0.843545 + 3.96857i −0.0549101 + 0.258332i
\(237\) 2.70345 + 0.785988i 0.175608 + 0.0510554i
\(238\) −9.08103 8.17660i −0.588636 0.530010i
\(239\) 0.228995 2.17874i 0.0148125 0.140931i −0.984616 0.174731i \(-0.944094\pi\)
0.999429 + 0.0338002i \(0.0107610\pi\)
\(240\) −1.52631 0.818775i −0.0985226 0.0528517i
\(241\) −8.34967 + 0.877586i −0.537850 + 0.0565303i −0.369559 0.929207i \(-0.620491\pi\)
−0.168290 + 0.985737i \(0.553825\pi\)
\(242\) −3.19904 1.84697i −0.205642 0.118727i
\(243\) −5.60036 + 14.5477i −0.359263 + 0.933236i
\(244\) 5.89942 + 8.11985i 0.377672 + 0.519820i
\(245\) −5.47656 + 4.93111i −0.349884 + 0.315037i
\(246\) 10.4489 5.04870i 0.666195 0.321893i
\(247\) 38.3127i 2.43778i
\(248\) 4.37606 + 3.44240i 0.277880 + 0.218592i
\(249\) −0.602755 4.40651i −0.0381981 0.279251i
\(250\) 0.309017 + 0.951057i 0.0195440 + 0.0601501i
\(251\) −5.57558 6.19231i −0.351928 0.390855i 0.541025 0.841007i \(-0.318037\pi\)
−0.892952 + 0.450152i \(0.851370\pi\)
\(252\) 7.06718 8.90954i 0.445190 0.561248i
\(253\) −12.4868 21.6277i −0.785037 1.35972i
\(254\) 2.08525 3.61175i 0.130840 0.226622i
\(255\) −1.33080 5.42253i −0.0833379 0.339572i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) −10.7218 1.12691i −0.668807 0.0702944i −0.235961 0.971762i \(-0.575824\pi\)
−0.432846 + 0.901468i \(0.642490\pi\)
\(258\) 8.98311 + 6.10743i 0.559264 + 0.380232i
\(259\) 4.66136 10.4696i 0.289643 0.650548i
\(260\) 5.67981 + 1.20728i 0.352247 + 0.0748724i
\(261\) 23.3204 12.1802i 1.44350 0.753938i
\(262\) −8.49816 + 3.78363i −0.525018 + 0.233753i
\(263\) −1.39511 + 4.29372i −0.0860264 + 0.264762i −0.984811 0.173628i \(-0.944451\pi\)
0.898785 + 0.438390i \(0.144451\pi\)
\(264\) 1.17699 6.53425i 0.0724388 0.402156i
\(265\) −2.54050 5.70606i −0.156062 0.350521i
\(266\) −5.20011 24.4646i −0.318839 1.50002i
\(267\) −0.0999463 + 1.35744i −0.00611661 + 0.0830743i
\(268\) −4.41037 1.96362i −0.269406 0.119947i
\(269\) −13.4283 + 14.9136i −0.818735 + 0.909298i −0.997210 0.0746468i \(-0.976217\pi\)
0.178475 + 0.983944i \(0.442884\pi\)
\(270\) 4.95927 1.55101i 0.301812 0.0943914i
\(271\) −17.2832 + 23.7883i −1.04988 + 1.44504i −0.160971 + 0.986959i \(0.551463\pi\)
−0.888911 + 0.458080i \(0.848537\pi\)
\(272\) −0.336958 3.20595i −0.0204311 0.194389i
\(273\) −14.4120 + 35.2961i −0.872251 + 2.13621i
\(274\) −10.6486 + 6.14795i −0.643303 + 0.371411i
\(275\) −3.10118 + 2.25314i −0.187008 + 0.135869i
\(276\) 7.28515 8.61746i 0.438514 0.518710i
\(277\) −26.5910 + 8.63994i −1.59770 + 0.519123i −0.966537 0.256528i \(-0.917421\pi\)
−0.631161 + 0.775652i \(0.717421\pi\)
\(278\) −21.6082 −1.29597
\(279\) −16.5646 + 2.14782i −0.991698 + 0.128586i
\(280\) −3.79070 −0.226538
\(281\) −4.05756 + 1.31838i −0.242053 + 0.0786479i −0.427531 0.904000i \(-0.640617\pi\)
0.185478 + 0.982648i \(0.440617\pi\)
\(282\) −12.1841 + 14.4124i −0.725554 + 0.858243i
\(283\) −0.885260 + 0.643179i −0.0526233 + 0.0382330i −0.613786 0.789472i \(-0.710354\pi\)
0.561163 + 0.827706i \(0.310354\pi\)
\(284\) 0.215775 0.124578i 0.0128039 0.00739233i
\(285\) 4.32004 10.5801i 0.255897 0.626712i
\(286\) 2.32666 + 22.1367i 0.137578 + 1.30897i
\(287\) 14.9283 20.5470i 0.881189 1.21285i
\(288\) 2.95818 0.499172i 0.174312 0.0294140i
\(289\) −4.42187 + 4.91098i −0.260110 + 0.288881i
\(290\) −8.01171 3.56704i −0.470464 0.209464i
\(291\) −0.194826 + 2.64608i −0.0114209 + 0.155116i
\(292\) −1.15646 5.44072i −0.0676767 0.318394i
\(293\) −0.363693 0.816869i −0.0212472 0.0477220i 0.902610 0.430459i \(-0.141648\pi\)
−0.923857 + 0.382737i \(0.874982\pi\)
\(294\) 2.26276 12.5621i 0.131967 0.732635i
\(295\) −1.25375 + 3.85865i −0.0729963 + 0.224659i
\(296\) 2.76191 1.22968i 0.160533 0.0714738i
\(297\) 11.5289 + 16.2425i 0.668976 + 0.942488i
\(298\) 7.16017 + 1.52194i 0.414777 + 0.0881636i
\(299\) −15.3870 + 34.5598i −0.889854 + 1.99864i
\(300\) −1.43236 0.973832i −0.0826973 0.0562242i
\(301\) 23.6434 + 2.48502i 1.36278 + 0.143234i
\(302\) 11.5536 + 8.39415i 0.664833 + 0.483029i
\(303\) 2.44247 + 9.95219i 0.140316 + 0.571739i
\(304\) 3.29901 5.71406i 0.189211 0.327724i
\(305\) 5.01835 + 8.69203i 0.287350 + 0.497704i
\(306\) 7.57665 + 6.00991i 0.433128 + 0.343564i
\(307\) 2.26045 + 2.51048i 0.129011 + 0.143281i 0.804189 0.594374i \(-0.202600\pi\)
−0.675178 + 0.737655i \(0.735933\pi\)
\(308\) −4.49026 13.8196i −0.255856 0.787444i
\(309\) 1.35073 + 9.87468i 0.0768405 + 0.561751i
\(310\) 3.99226 + 3.88096i 0.226745 + 0.220424i
\(311\) 2.52760i 0.143327i −0.997429 0.0716635i \(-0.977169\pi\)
0.997429 0.0716635i \(-0.0228308\pi\)
\(312\) −9.05580 + 4.37560i −0.512683 + 0.247720i
\(313\) −3.06658 + 2.76116i −0.173333 + 0.156070i −0.751231 0.660039i \(-0.770540\pi\)
0.577898 + 0.816109i \(0.303873\pi\)
\(314\) −2.21995 3.05550i −0.125279 0.172432i
\(315\) 7.95977 8.12201i 0.448482 0.457623i
\(316\) 1.40770 + 0.812733i 0.0791891 + 0.0457198i
\(317\) 19.1881 2.01675i 1.07771 0.113272i 0.451000 0.892524i \(-0.351067\pi\)
0.626711 + 0.779252i \(0.284401\pi\)
\(318\) 9.53340 + 5.11412i 0.534606 + 0.286785i
\(319\) 3.51397 33.4332i 0.196745 1.87190i
\(320\) −0.743145 0.669131i −0.0415431 0.0374055i
\(321\) −25.1366 7.30808i −1.40299 0.407897i
\(322\) 5.13464 24.1566i 0.286142 1.34619i
\(323\) 20.8046 4.42216i 1.15760 0.246056i
\(324\) −5.14209 + 7.38640i −0.285672 + 0.410356i
\(325\) 5.52250 + 1.79437i 0.306333 + 0.0995337i
\(326\) −9.97235 3.24021i −0.552317 0.179459i
\(327\) −3.91078 6.31014i −0.216267 0.348952i
\(328\) 6.55354 1.39300i 0.361859 0.0769154i
\(329\) −8.58748 + 40.4009i −0.473443 + 2.22738i
\(330\) 1.85356 6.37543i 0.102035 0.350956i
\(331\) −11.6819 10.5184i −0.642096 0.578146i 0.282419 0.959291i \(-0.408863\pi\)
−0.924515 + 0.381145i \(0.875530\pi\)
\(332\) 0.268407 2.55372i 0.0147307 0.140154i
\(333\) −3.16476 + 8.49980i −0.173428 + 0.465786i
\(334\) 10.5256 1.10628i 0.575934 0.0605331i
\(335\) −4.18096 2.41388i −0.228430 0.131884i
\(336\) 5.18869 4.02316i 0.283066 0.219482i
\(337\) 4.33257 + 5.96328i 0.236010 + 0.324840i 0.910551 0.413398i \(-0.135658\pi\)
−0.674540 + 0.738238i \(0.735658\pi\)
\(338\) 15.3963 13.8629i 0.837449 0.754042i
\(339\) 12.4789 + 25.8265i 0.677761 + 1.40270i
\(340\) 3.22360i 0.174825i
\(341\) −9.41963 + 19.1516i −0.510102 + 1.03712i
\(342\) 5.31570 + 19.0669i 0.287440 + 1.03102i
\(343\) −0.432754 1.33188i −0.0233665 0.0719147i
\(344\) 4.19649 + 4.66067i 0.226259 + 0.251286i
\(345\) 8.14601 7.80874i 0.438566 0.420409i
\(346\) −11.0158 19.0799i −0.592212 1.02574i
\(347\) 16.4142 28.4303i 0.881161 1.52622i 0.0311104 0.999516i \(-0.490096\pi\)
0.850051 0.526700i \(-0.176571\pi\)
\(348\) 14.7521 3.62048i 0.790798 0.194078i
\(349\) 7.83553 + 5.69285i 0.419426 + 0.304731i 0.777407 0.628998i \(-0.216535\pi\)
−0.357981 + 0.933729i \(0.616535\pi\)
\(350\) −3.76994 0.396236i −0.201512 0.0211797i
\(351\) 9.64025 28.5910i 0.514559 1.52607i
\(352\) 1.55913 3.50186i 0.0831019 0.186650i
\(353\) −12.9693 2.75671i −0.690285 0.146725i −0.150604 0.988594i \(-0.548122\pi\)
−0.539681 + 0.841869i \(0.681455\pi\)
\(354\) −2.37915 6.61233i −0.126451 0.351441i
\(355\) 0.227615 0.101341i 0.0120806 0.00537861i
\(356\) −0.242839 + 0.747380i −0.0128704 + 0.0396111i
\(357\) 20.8300 + 3.75203i 1.10244 + 0.198578i
\(358\) 7.43892 + 16.7081i 0.393159 + 0.883050i
\(359\) −6.31822 29.7249i −0.333463 1.56882i −0.751090 0.660200i \(-0.770471\pi\)
0.417627 0.908619i \(-0.362862\pi\)
\(360\) 2.99415 0.187223i 0.157806 0.00986752i
\(361\) 22.4128 + 9.97884i 1.17962 + 0.525202i
\(362\) 13.9630 15.5074i 0.733877 0.815053i
\(363\) 6.39496 0.199742i 0.335648 0.0104837i
\(364\) −12.9380 + 17.8077i −0.678137 + 0.933375i
\(365\) −0.581415 5.53179i −0.0304326 0.289547i
\(366\) −16.0941 6.57149i −0.841254 0.343497i
\(367\) −5.02321 + 2.90015i −0.262210 + 0.151387i −0.625342 0.780351i \(-0.715041\pi\)
0.363133 + 0.931737i \(0.381707\pi\)
\(368\) 5.27071 3.82939i 0.274755 0.199621i
\(369\) −10.7765 + 16.9667i −0.561005 + 0.883253i
\(370\) 2.87532 0.934247i 0.149481 0.0485692i
\(371\) 23.6770 1.22925
\(372\) −9.58353 1.07515i −0.496883 0.0557440i
\(373\) 2.50562 0.129736 0.0648682 0.997894i \(-0.479337\pi\)
0.0648682 + 0.997894i \(0.479337\pi\)
\(374\) 11.7521 3.81850i 0.607689 0.197450i
\(375\) −1.32272 1.11822i −0.0683049 0.0577446i
\(376\) −8.81505 + 6.40451i −0.454602 + 0.330287i
\(377\) −44.1017 + 25.4621i −2.27135 + 1.31137i
\(378\) −2.27518 + 19.5652i −0.117023 + 1.00633i
\(379\) −1.61390 15.3552i −0.0829003 0.788744i −0.954437 0.298413i \(-0.903543\pi\)
0.871536 0.490331i \(-0.163124\pi\)
\(380\) 3.87822 5.33791i 0.198949 0.273829i
\(381\) 0.225511 + 7.21999i 0.0115533 + 0.369891i
\(382\) 2.00096 2.22229i 0.102378 0.113702i
\(383\) −14.0927 6.27449i −0.720105 0.320611i 0.0137615 0.999905i \(-0.495619\pi\)
−0.733866 + 0.679294i \(0.762286\pi\)
\(384\) 1.72737 + 0.127184i 0.0881497 + 0.00649031i
\(385\) −3.02112 14.2132i −0.153970 0.724374i
\(386\) 10.9344 + 24.5590i 0.556546 + 1.25002i
\(387\) −18.7978 0.795087i −0.955548 0.0404165i
\(388\) −0.473367 + 1.45688i −0.0240316 + 0.0739616i
\(389\) −27.1251 + 12.0769i −1.37530 + 0.612321i −0.955417 0.295259i \(-0.904594\pi\)
−0.419878 + 0.907580i \(0.637927\pi\)
\(390\) −9.46356 + 3.40504i −0.479206 + 0.172421i
\(391\) 20.5427 + 4.36649i 1.03889 + 0.220823i
\(392\) 2.99742 6.73231i 0.151393 0.340033i
\(393\) 9.05897 13.3244i 0.456965 0.672126i
\(394\) −13.4476 1.41340i −0.677482 0.0712063i
\(395\) 1.31503 + 0.955425i 0.0661663 + 0.0480727i
\(396\) 4.22926 + 10.6939i 0.212528 + 0.537387i
\(397\) 14.6958 25.4539i 0.737563 1.27750i −0.216026 0.976388i \(-0.569310\pi\)
0.953590 0.301109i \(-0.0973570\pi\)
\(398\) 13.1442 + 22.7664i 0.658857 + 1.14117i
\(399\) 29.9780 + 31.2728i 1.50078 + 1.56560i
\(400\) −0.669131 0.743145i −0.0334565 0.0371572i
\(401\) −7.07767 21.7828i −0.353442 1.08778i −0.956907 0.290393i \(-0.906214\pi\)
0.603465 0.797389i \(-0.293786\pi\)
\(402\) 8.28476 1.13325i 0.413206 0.0565215i
\(403\) 31.8576 5.50843i 1.58694 0.274395i
\(404\) 5.91641i 0.294353i
\(405\) −5.88601 + 6.80844i −0.292478 + 0.338314i
\(406\) 24.7052 22.2447i 1.22610 1.10398i
\(407\) 6.81188 + 9.37575i 0.337652 + 0.464739i
\(408\) 3.42129 + 4.41244i 0.169379 + 0.218449i
\(409\) −26.4574 15.2752i −1.30823 0.755309i −0.326433 0.945220i \(-0.605847\pi\)
−0.981801 + 0.189911i \(0.939180\pi\)
\(410\) 6.66325 0.700335i 0.329074 0.0345871i
\(411\) 10.0676 18.7673i 0.496596 0.925722i
\(412\) −0.601482 + 5.72272i −0.0296329 + 0.281938i
\(413\) −11.4294 10.2911i −0.562403 0.506390i
\(414\) −2.86259 + 19.3341i −0.140689 + 0.950219i
\(415\) 0.533873 2.51168i 0.0262068 0.123293i
\(416\) −5.67981 + 1.20728i −0.278476 + 0.0591918i
\(417\) 31.8123 19.7160i 1.55786 0.965497i
\(418\) 24.0541 + 7.81565i 1.17652 + 0.382276i
\(419\) 18.3640 + 5.96684i 0.897142 + 0.291499i 0.721057 0.692876i \(-0.243657\pi\)
0.176085 + 0.984375i \(0.443657\pi\)
\(420\) 5.58080 3.45876i 0.272315 0.168770i
\(421\) 28.2768 6.01041i 1.37813 0.292930i 0.541498 0.840702i \(-0.317857\pi\)
0.836627 + 0.547773i \(0.184524\pi\)
\(422\) 0.0712199 0.335064i 0.00346693 0.0163106i
\(423\) 4.78757 32.3355i 0.232780 1.57221i
\(424\) 4.64173 + 4.17943i 0.225422 + 0.202971i
\(425\) 0.336958 3.20595i 0.0163449 0.155511i
\(426\) −0.204002 + 0.380288i −0.00988395 + 0.0184250i
\(427\) −37.8377 + 3.97690i −1.83109 + 0.192456i
\(428\) −13.0887 7.55676i −0.632666 0.365270i
\(429\) −23.6236 30.4674i −1.14056 1.47098i
\(430\) 3.68632 + 5.07379i 0.177770 + 0.244680i
\(431\) 9.80730 8.83054i 0.472401 0.425352i −0.398232 0.917285i \(-0.630376\pi\)
0.870633 + 0.491933i \(0.163709\pi\)
\(432\) −3.89967 + 3.43403i −0.187623 + 0.165220i
\(433\) 2.20724i 0.106073i −0.998593 0.0530366i \(-0.983110\pi\)
0.998593 0.0530366i \(-0.0168900\pi\)
\(434\) −19.5950 + 7.84138i −0.940592 + 0.376398i
\(435\) 15.0498 2.05862i 0.721582 0.0987034i
\(436\) −1.32448 4.07633i −0.0634310 0.195221i
\(437\) 28.7631 + 31.9447i 1.37593 + 1.52812i
\(438\) 6.66686 + 6.95481i 0.318555 + 0.332314i
\(439\) 12.1059 + 20.9680i 0.577783 + 1.00075i 0.995733 + 0.0922794i \(0.0294153\pi\)
−0.417950 + 0.908470i \(0.637251\pi\)
\(440\) 1.91663 3.31971i 0.0913719 0.158261i
\(441\) 8.13072 + 20.5589i 0.387177 + 0.978995i
\(442\) −15.1436 11.0025i −0.720307 0.523334i
\(443\) 27.2032 + 2.85917i 1.29246 + 0.135843i 0.725684 0.688028i \(-0.241523\pi\)
0.566777 + 0.823871i \(0.308190\pi\)
\(444\) −2.94417 + 4.33043i −0.139724 + 0.205513i
\(445\) −0.319631 + 0.717903i −0.0151520 + 0.0340319i
\(446\) 13.4061 + 2.84956i 0.634799 + 0.134931i
\(447\) −11.9301 + 4.29251i −0.564274 + 0.203029i
\(448\) 3.46298 1.54182i 0.163610 0.0728441i
\(449\) 7.99247 24.5983i 0.377188 1.16087i −0.564803 0.825226i \(-0.691048\pi\)
0.941991 0.335639i \(-0.108952\pi\)
\(450\) 2.99732 + 0.126777i 0.141295 + 0.00597631i
\(451\) 10.4461 + 23.4623i 0.491887 + 1.10480i
\(452\) 3.44308 + 16.1984i 0.161949 + 0.761910i
\(453\) −24.6686 1.81631i −1.15903 0.0853375i
\(454\) 2.13530 + 0.950698i 0.100215 + 0.0446185i
\(455\) −14.7286 + 16.3577i −0.690485 + 0.766862i
\(456\) 0.356775 + 11.4225i 0.0167075 + 0.534909i
\(457\) −2.36208 + 3.25113i −0.110494 + 0.152081i −0.860682 0.509143i \(-0.829963\pi\)
0.750189 + 0.661224i \(0.229963\pi\)
\(458\) 0.790663 + 7.52266i 0.0369453 + 0.351511i
\(459\) −16.6382 1.93481i −0.776606 0.0903092i
\(460\) 5.64212 3.25748i 0.263065 0.151881i
\(461\) −31.7223 + 23.0476i −1.47746 + 1.07344i −0.499092 + 0.866549i \(0.666333\pi\)
−0.978365 + 0.206886i \(0.933667\pi\)
\(462\) 19.2201 + 16.2486i 0.894202 + 0.755953i
\(463\) −17.8743 + 5.80772i −0.830691 + 0.269908i −0.693336 0.720614i \(-0.743860\pi\)
−0.137354 + 0.990522i \(0.543860\pi\)
\(464\) 8.76991 0.407133
\(465\) −9.41865 2.07101i −0.436779 0.0960409i
\(466\) −1.70188 −0.0788380
\(467\) 25.4428 8.26686i 1.17735 0.382544i 0.345969 0.938246i \(-0.387550\pi\)
0.831382 + 0.555702i \(0.187550\pi\)
\(468\) 9.33980 14.7047i 0.431732 0.679725i
\(469\) 14.8055 10.7568i 0.683653 0.496703i
\(470\) −9.43622 + 5.44800i −0.435260 + 0.251298i
\(471\) 6.05622 + 2.47285i 0.279056 + 0.113943i
\(472\) −0.424096 4.03500i −0.0195206 0.185726i
\(473\) −14.1307 + 19.4492i −0.649729 + 0.894275i
\(474\) −2.81402 + 0.0878938i −0.129252 + 0.00403710i
\(475\) 4.41494 4.90329i 0.202571 0.224978i
\(476\) 11.1633 + 4.97021i 0.511668 + 0.227809i
\(477\) −18.7017 + 1.16941i −0.856290 + 0.0535434i
\(478\) 0.455481 + 2.14287i 0.0208332 + 0.0980126i
\(479\) −8.62513 19.3724i −0.394092 0.885146i −0.996230 0.0867535i \(-0.972351\pi\)
0.602137 0.798392i \(-0.294316\pi\)
\(480\) 1.70462 + 0.307047i 0.0778048 + 0.0140147i
\(481\) 5.42489 16.6961i 0.247354 0.761277i
\(482\) 7.66982 3.41482i 0.349351 0.155541i
\(483\) 14.4819 + 40.2491i 0.658947 + 1.83140i
\(484\) 3.61321 + 0.768012i 0.164237 + 0.0349096i
\(485\) −0.623059 + 1.39941i −0.0282917 + 0.0635441i
\(486\) 0.830765 15.5663i 0.0376843 0.706102i
\(487\) 25.5534 + 2.68577i 1.15794 + 0.121704i 0.663958 0.747770i \(-0.268876\pi\)
0.493978 + 0.869474i \(0.335542\pi\)
\(488\) −8.11985 5.89942i −0.367568 0.267054i
\(489\) 17.6381 4.32874i 0.797622 0.195752i
\(490\) 3.68472 6.38212i 0.166459 0.288315i
\(491\) 10.3920 + 17.9996i 0.468987 + 0.812309i 0.999372 0.0354484i \(-0.0112859\pi\)
−0.530385 + 0.847757i \(0.677953\pi\)
\(492\) −8.37732 + 8.03047i −0.377679 + 0.362042i
\(493\) 18.9168 + 21.0092i 0.851970 + 0.946208i
\(494\) −11.8393 36.4376i −0.532675 1.63940i
\(495\) 3.08827 + 11.0774i 0.138808 + 0.497890i
\(496\) −5.22564 1.92164i −0.234638 0.0862840i
\(497\) 0.944475i 0.0423655i
\(498\) 1.93494 + 4.00458i 0.0867067 + 0.179449i
\(499\) 4.45339 4.00985i 0.199361 0.179506i −0.563403 0.826182i \(-0.690508\pi\)
0.762764 + 0.646676i \(0.223842\pi\)
\(500\) −0.587785 0.809017i −0.0262866 0.0361803i
\(501\) −14.4867 + 11.2326i −0.647217 + 0.501834i
\(502\) 7.21622 + 4.16629i 0.322076 + 0.185951i
\(503\) −40.9598 + 4.30504i −1.82631 + 0.191952i −0.954562 0.298011i \(-0.903677\pi\)
−0.871743 + 0.489963i \(0.837010\pi\)
\(504\) −3.96809 + 10.6574i −0.176753 + 0.474716i
\(505\) −0.618434 + 5.88400i −0.0275199 + 0.261835i
\(506\) 18.5590 + 16.7106i 0.825047 + 0.742876i
\(507\) −10.0180 + 34.4575i −0.444915 + 1.53031i
\(508\) −0.867094 + 4.07936i −0.0384711 + 0.180992i
\(509\) 9.09295 1.93277i 0.403038 0.0856683i −0.00193257 0.999998i \(-0.500615\pi\)
0.404970 + 0.914330i \(0.367282\pi\)
\(510\) 2.94132 + 4.74589i 0.130244 + 0.210152i
\(511\) 20.0529 + 6.51559i 0.887089 + 0.288233i
\(512\) 0.951057 + 0.309017i 0.0420312 + 0.0136568i
\(513\) −25.2232 23.2208i −1.11363 1.02522i
\(514\) 10.5453 2.24146i 0.465131 0.0988667i
\(515\) −1.19637 + 5.62849i −0.0527185 + 0.248021i
\(516\) −10.4307 3.03258i −0.459188 0.133502i
\(517\) −31.0391 27.9478i −1.36510 1.22914i
\(518\) −1.19794 + 11.3976i −0.0526343 + 0.500782i
\(519\) 33.6269 + 18.0389i 1.47606 + 0.791819i
\(520\) −5.77489 + 0.606965i −0.253246 + 0.0266172i
\(521\) −17.9336 10.3540i −0.785687 0.453616i 0.0527551 0.998607i \(-0.483200\pi\)
−0.838442 + 0.544991i \(0.816533\pi\)
\(522\) −18.4152 + 18.7905i −0.806009 + 0.822438i
\(523\) 3.02719 + 4.16657i 0.132370 + 0.182191i 0.870057 0.492951i \(-0.164082\pi\)
−0.737687 + 0.675143i \(0.764082\pi\)
\(524\) 6.91303 6.22452i 0.301997 0.271919i
\(525\) 5.91176 2.85646i 0.258011 0.124666i
\(526\) 4.51468i 0.196850i
\(527\) −6.66829 16.6636i −0.290475 0.725876i
\(528\) 0.899810 + 6.57816i 0.0391592 + 0.286277i
\(529\) 6.00872 + 18.4930i 0.261249 + 0.804041i
\(530\) 4.17943 + 4.64173i 0.181543 + 0.201624i
\(531\) 9.53597 + 7.56407i 0.413826 + 0.328253i
\(532\) 12.5056 + 21.6603i 0.542185 + 0.939093i
\(533\) 19.4523 33.6924i 0.842573 1.45938i
\(534\) −0.324419 1.32189i −0.0140390 0.0572038i
\(535\) −12.2271 8.88351i −0.528623 0.384067i
\(536\) 4.80130 + 0.504637i 0.207385 + 0.0217970i
\(537\) −26.1968 17.8107i −1.13048 0.768588i
\(538\) 8.16248 18.3332i 0.351909 0.790402i
\(539\) 27.6317 + 5.87330i 1.19018 + 0.252981i
\(540\) −4.23726 + 3.00760i −0.182343 + 0.129426i
\(541\) −8.89548 + 3.96052i −0.382447 + 0.170276i −0.588950 0.808170i \(-0.700458\pi\)
0.206503 + 0.978446i \(0.433792\pi\)
\(542\) 9.08634 27.9649i 0.390292 1.20119i
\(543\) −6.40724 + 35.5708i −0.274961 + 1.52649i
\(544\) 1.31116 + 2.94491i 0.0562154 + 0.126262i
\(545\) −0.891131 4.19244i −0.0381719 0.179585i
\(546\) 2.79950 38.0221i 0.119808 1.62719i
\(547\) 37.5364 + 16.7123i 1.60494 + 0.714566i 0.996851 0.0793009i \(-0.0252688\pi\)
0.608091 + 0.793867i \(0.291935\pi\)
\(548\) 8.22756 9.13763i 0.351464 0.390340i
\(549\) 29.6903 5.01003i 1.26715 0.213823i
\(550\) 2.25314 3.10118i 0.0960741 0.132235i
\(551\) 6.04844 + 57.5470i 0.257672 + 2.45159i
\(552\) −4.26565 + 10.4469i −0.181558 + 0.444651i
\(553\) −5.33616 + 3.08083i −0.226916 + 0.131010i
\(554\) 22.6196 16.4341i 0.961017 0.698219i
\(555\) −3.38070 + 3.99896i −0.143503 + 0.169746i
\(556\) 20.5506 6.67730i 0.871541 0.283181i
\(557\) −30.1693 −1.27831 −0.639157 0.769076i \(-0.720717\pi\)
−0.639157 + 0.769076i \(0.720717\pi\)
\(558\) 15.0902 7.16145i 0.638818 0.303168i
\(559\) 36.4170 1.54028
\(560\) 3.60517 1.17139i 0.152346 0.0495003i
\(561\) −13.8178 + 16.3448i −0.583386 + 0.690076i
\(562\) 3.45156 2.50771i 0.145595 0.105781i
\(563\) 26.0865 15.0611i 1.09942 0.634748i 0.163348 0.986568i \(-0.447771\pi\)
0.936068 + 0.351820i \(0.114437\pi\)
\(564\) 7.13413 17.4721i 0.300401 0.735706i
\(565\) 1.73102 + 16.4696i 0.0728247 + 0.692881i
\(566\) 0.643179 0.885260i 0.0270348 0.0372103i
\(567\) −14.5023 30.8805i −0.609041 1.29686i
\(568\) −0.166718 + 0.185159i −0.00699532 + 0.00776909i
\(569\) 8.74159 + 3.89201i 0.366467 + 0.163161i 0.581705 0.813400i \(-0.302386\pi\)
−0.215238 + 0.976562i \(0.569053\pi\)
\(570\) −0.839160 + 11.3973i −0.0351486 + 0.477379i
\(571\) −2.28339 10.7425i −0.0955571 0.449561i −0.999748 0.0224330i \(-0.992859\pi\)
0.904191 0.427128i \(-0.140475\pi\)
\(572\) −9.05340 20.3343i −0.378542 0.850219i
\(573\) −0.918187 + 5.09746i −0.0383578 + 0.212949i
\(574\) −7.84827 + 24.1545i −0.327580 + 1.00819i
\(575\) 5.95171 2.64987i 0.248203 0.110507i
\(576\) −2.65914 + 1.38887i −0.110798 + 0.0578695i
\(577\) 27.3387 + 5.81101i 1.13812 + 0.241916i 0.738167 0.674618i \(-0.235692\pi\)
0.399957 + 0.916534i \(0.369025\pi\)
\(578\) 2.68787 6.03705i 0.111801 0.251108i
\(579\) −38.5064 26.1797i −1.60027 1.08799i
\(580\) 8.72186 + 0.916705i 0.362156 + 0.0380641i
\(581\) 7.87475 + 5.72134i 0.326700 + 0.237361i
\(582\) −0.632392 2.57677i −0.0262135 0.106811i
\(583\) −11.9714 + 20.7351i −0.495805 + 0.858760i
\(584\) 2.78113 + 4.81706i 0.115084 + 0.199331i
\(585\) 10.8257 13.6479i 0.447587 0.564270i
\(586\) 0.598319 + 0.664501i 0.0247163 + 0.0274503i
\(587\) 6.55193 + 20.1648i 0.270427 + 0.832289i 0.990393 + 0.138280i \(0.0441573\pi\)
−0.719966 + 0.694009i \(0.755843\pi\)
\(588\) 1.72988 + 12.6465i 0.0713391 + 0.521532i
\(589\) 9.00552 35.6153i 0.371066 1.46750i
\(590\) 4.05723i 0.167033i
\(591\) 21.0877 10.1892i 0.867432 0.419128i
\(592\) −2.24674 + 2.02297i −0.0923405 + 0.0831437i
\(593\) −1.95779 2.69467i −0.0803969 0.110657i 0.766924 0.641737i \(-0.221786\pi\)
−0.847321 + 0.531081i \(0.821786\pi\)
\(594\) −15.9839 11.8849i −0.655826 0.487645i
\(595\) 10.5826 + 6.10986i 0.433844 + 0.250480i
\(596\) −7.28003 + 0.765162i −0.298202 + 0.0313422i
\(597\) −40.1240 21.5242i −1.64217 0.880928i
\(598\) 3.95435 37.6232i 0.161706 1.53853i
\(599\) −28.6763 25.8203i −1.17168 1.05499i −0.997528 0.0702685i \(-0.977614\pi\)
−0.174154 0.984718i \(-0.555719\pi\)
\(600\) 1.66318 + 0.483546i 0.0678992 + 0.0197407i
\(601\) −1.38410 + 6.51169i −0.0564587 + 0.265617i −0.997319 0.0731777i \(-0.976686\pi\)
0.940860 + 0.338795i \(0.110019\pi\)
\(602\) −23.2541 + 4.94281i −0.947765 + 0.201454i
\(603\) −11.1631 + 9.22769i −0.454596 + 0.375781i
\(604\) −13.5820 4.41307i −0.552645 0.179565i
\(605\) 3.51314 + 1.14149i 0.142829 + 0.0464081i
\(606\) −5.39832 8.71033i −0.219292 0.353833i
\(607\) −6.36079 + 1.35203i −0.258177 + 0.0548771i −0.335182 0.942154i \(-0.608798\pi\)
0.0770048 + 0.997031i \(0.475464\pi\)
\(608\) −1.37181 + 6.45384i −0.0556341 + 0.261738i
\(609\) −16.0751 + 55.2911i −0.651394 + 2.24051i
\(610\) −7.45871 6.71586i −0.301995 0.271917i
\(611\) −6.61350 + 62.9232i −0.267553 + 2.54560i
\(612\) −9.06299 3.37445i −0.366349 0.136404i
\(613\) 22.0026 2.31257i 0.888678 0.0934038i 0.350823 0.936442i \(-0.385902\pi\)
0.537854 + 0.843038i \(0.319235\pi\)
\(614\) −2.92560 1.68909i −0.118068 0.0681663i
\(615\) −9.17084 + 7.11081i −0.369804 + 0.286736i
\(616\) 8.54098 + 11.7556i 0.344126 + 0.473648i
\(617\) 20.3409 18.3150i 0.818894 0.737336i −0.148961 0.988843i \(-0.547593\pi\)
0.967855 + 0.251507i \(0.0809263\pi\)
\(618\) −4.33607 8.97398i −0.174422 0.360986i
\(619\) 15.3993i 0.618949i −0.950908 0.309475i \(-0.899847\pi\)
0.950908 0.309475i \(-0.100153\pi\)
\(620\) −4.99615 2.45734i −0.200650 0.0986891i
\(621\) −13.4266 31.0762i −0.538793 1.24705i
\(622\) 0.781071 + 2.40389i 0.0313181 + 0.0963872i
\(623\) −1.99327 2.21375i −0.0798587 0.0886921i
\(624\) 7.26044 6.95984i 0.290650 0.278616i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 2.06324 3.57364i 0.0824638 0.142832i
\(627\) −42.5445 + 10.4413i −1.69906 + 0.416984i
\(628\) 3.05550 + 2.21995i 0.121928 + 0.0885856i
\(629\) −9.69249 1.01872i −0.386465 0.0406191i
\(630\) −5.06035 + 10.1842i −0.201609 + 0.405748i
\(631\) −0.658428 + 1.47885i −0.0262116 + 0.0588723i −0.926177 0.377089i \(-0.876925\pi\)
0.899965 + 0.435962i \(0.143592\pi\)
\(632\) −1.58995 0.337954i −0.0632447 0.0134431i
\(633\) 0.200870 + 0.558275i 0.00798388 + 0.0221894i
\(634\) −17.6258 + 7.84749i −0.700008 + 0.311664i
\(635\) −1.28875 + 3.96638i −0.0511426 + 0.157401i
\(636\) −10.6471 1.91783i −0.422187 0.0760470i
\(637\) −17.4051 39.0925i −0.689616 1.54890i
\(638\) 6.98945 + 32.8828i 0.276715 + 1.30184i
\(639\) −0.0466477 0.746010i −0.00184535 0.0295117i
\(640\) 0.913545 + 0.406737i 0.0361111 + 0.0160777i
\(641\) −25.2274 + 28.0179i −0.996424 + 1.10664i −0.00212656 + 0.999998i \(0.500677\pi\)
−0.994297 + 0.106643i \(0.965990\pi\)
\(642\) 26.1646 0.817233i 1.03264 0.0322536i
\(643\) 3.04245 4.18757i 0.119982 0.165142i −0.744801 0.667287i \(-0.767456\pi\)
0.864783 + 0.502145i \(0.167456\pi\)
\(644\) 2.58146 + 24.5610i 0.101724 + 0.967838i
\(645\) −10.0566 4.10628i −0.395979 0.161685i
\(646\) −18.4199 + 10.6347i −0.724719 + 0.418417i
\(647\) 0.412670 0.299822i 0.0162237 0.0117872i −0.579644 0.814870i \(-0.696808\pi\)
0.595868 + 0.803083i \(0.296808\pi\)
\(648\) 2.60790 8.61388i 0.102448 0.338385i
\(649\) 14.7912 4.80597i 0.580607 0.188651i
\(650\) −5.80670 −0.227758
\(651\) 21.6937 29.4235i 0.850244 1.15320i
\(652\) 10.4855 0.410646
\(653\) −34.1949 + 11.1106i −1.33815 + 0.434792i −0.888690 0.458508i \(-0.848384\pi\)
−0.449461 + 0.893300i \(0.648384\pi\)
\(654\) 5.66931 + 4.79280i 0.221688 + 0.187413i
\(655\) 7.52580 5.46781i 0.294057 0.213645i
\(656\) −5.80233 + 3.34997i −0.226543 + 0.130795i
\(657\) −16.1610 4.15604i −0.630499 0.162142i
\(658\) −4.31739 41.0773i −0.168310 1.60136i
\(659\) 10.8518 14.9362i 0.422726 0.581833i −0.543538 0.839384i \(-0.682916\pi\)
0.966265 + 0.257552i \(0.0829158\pi\)
\(660\) 0.207276 + 6.63618i 0.00806821 + 0.258313i
\(661\) 11.4718 12.7408i 0.446202 0.495558i −0.477520 0.878621i \(-0.658464\pi\)
0.923722 + 0.383063i \(0.125131\pi\)
\(662\) 14.3605 + 6.39372i 0.558138 + 0.248499i
\(663\) 32.3339 + 2.38069i 1.25574 + 0.0924582i
\(664\) 0.533873 + 2.51168i 0.0207183 + 0.0974720i
\(665\) 10.1730 + 22.8488i 0.394490 + 0.886039i
\(666\) 0.383283 9.06176i 0.0148519 0.351136i
\(667\) −17.6559 + 54.3391i −0.683637 + 2.10402i
\(668\) −9.66856 + 4.30472i −0.374088 + 0.166555i
\(669\) −22.3370 + 8.03697i −0.863598 + 0.310727i
\(670\) 4.72225 + 1.00375i 0.182437 + 0.0387781i
\(671\) 15.6485 35.1471i 0.604104 1.35684i
\(672\) −3.69151 + 5.42965i −0.142403 + 0.209453i
\(673\) 23.9167 + 2.51375i 0.921921 + 0.0968978i 0.553583 0.832794i \(-0.313260\pi\)
0.368338 + 0.929692i \(0.379927\pi\)
\(674\) −5.96328 4.33257i −0.229697 0.166884i
\(675\) −4.52843 + 2.54821i −0.174299 + 0.0980805i
\(676\) −10.3589 + 17.9421i −0.398419 + 0.690081i
\(677\) −22.5736 39.0987i −0.867576 1.50269i −0.864467 0.502690i \(-0.832344\pi\)
−0.00310893 0.999995i \(-0.500990\pi\)
\(678\) −19.8490 20.7063i −0.762295 0.795219i
\(679\) −3.88550 4.31528i −0.149112 0.165605i
\(680\) 0.996149 + 3.06583i 0.0382006 + 0.117569i
\(681\) −4.01111 + 0.548670i −0.153706 + 0.0210251i
\(682\) 3.04044 21.1250i 0.116425 0.808920i
\(683\) 35.5311i 1.35956i −0.733417 0.679779i \(-0.762076\pi\)
0.733417 0.679779i \(-0.237924\pi\)
\(684\) −10.9475 16.4911i −0.418590 0.630553i
\(685\) 9.13763 8.22756i 0.349131 0.314359i
\(686\) 0.823147 + 1.13296i 0.0314279 + 0.0432568i
\(687\) −8.02795 10.3537i −0.306285 0.395017i
\(688\) −5.43132 3.13577i −0.207067 0.119550i
\(689\) 36.0703 3.79114i 1.37417 0.144431i
\(690\) −5.33428 + 9.94381i −0.203073 + 0.378554i
\(691\) 4.77507 45.4318i 0.181652 1.72831i −0.401427 0.915891i \(-0.631486\pi\)
0.583080 0.812415i \(-0.301848\pi\)
\(692\) 16.3726 + 14.7420i 0.622395 + 0.560407i
\(693\) −43.1222 6.38464i −1.63808 0.242533i
\(694\) −6.82542 + 32.1111i −0.259089 + 1.21892i
\(695\) 21.1360 4.49260i 0.801735 0.170414i
\(696\) −12.9113 + 8.00194i −0.489403 + 0.303313i
\(697\) −20.5409 6.67414i −0.778042 0.252801i
\(698\) −9.21122 2.99291i −0.348650 0.113283i
\(699\) 2.50556 1.55285i 0.0947690 0.0587341i
\(700\) 3.70787 0.788132i 0.140144 0.0297886i
\(701\) 3.26493 15.3603i 0.123315 0.580150i −0.872489 0.488634i \(-0.837495\pi\)
0.995804 0.0915162i \(-0.0291713\pi\)
\(702\) −0.333320 + 30.1707i −0.0125804 + 1.13872i
\(703\) −14.8240 13.3476i −0.559099 0.503415i
\(704\) −0.400685 + 3.81227i −0.0151014 + 0.143680i
\(705\) 8.92137 16.6306i 0.335998 0.626346i
\(706\) 13.1864 1.38595i 0.496276 0.0521607i
\(707\) −19.4227 11.2137i −0.730465 0.421734i
\(708\) 4.30603 + 5.55350i 0.161831 + 0.208713i
\(709\) −8.45075 11.6315i −0.317375 0.436829i 0.620289 0.784374i \(-0.287015\pi\)
−0.937663 + 0.347545i \(0.887015\pi\)
\(710\) −0.185159 + 0.166718i −0.00694888 + 0.00625680i
\(711\) 4.06269 2.69700i 0.152363 0.101145i
\(712\) 0.785842i 0.0294507i
\(713\) 22.4271 28.5098i 0.839900 1.06770i
\(714\) −20.9699 + 2.86842i −0.784780 + 0.107348i
\(715\) −6.87830 21.1692i −0.257234 0.791684i
\(716\) −12.2379 13.5916i −0.457352 0.507941i
\(717\) −2.62580 2.73921i −0.0980622 0.102298i
\(718\) 15.1945 + 26.3176i 0.567053 + 0.982164i
\(719\) 22.3610 38.7304i 0.833925 1.44440i −0.0609770 0.998139i \(-0.519422\pi\)
0.894902 0.446262i \(-0.147245\pi\)
\(720\) −2.78975 + 1.10330i −0.103968 + 0.0411177i
\(721\) −17.6468 12.8211i −0.657200 0.477484i
\(722\) −24.3995 2.56449i −0.908056 0.0954405i
\(723\) −8.17596 + 12.0256i −0.304067 + 0.447237i
\(724\) −8.48750 + 19.0632i −0.315435 + 0.708480i
\(725\) 8.57826 + 1.82337i 0.318589 + 0.0677181i
\(726\) −6.02024 + 2.16612i −0.223432 + 0.0803921i
\(727\) 21.7359 9.67744i 0.806140 0.358917i 0.0380638 0.999275i \(-0.487881\pi\)
0.768076 + 0.640359i \(0.221214\pi\)
\(728\) 6.80192 20.9342i 0.252096 0.775872i
\(729\) 12.9801 + 23.6752i 0.480745 + 0.876861i
\(730\) 2.26238 + 5.08138i 0.0837343 + 0.188070i
\(731\) −4.20335 19.7752i −0.155466 0.731412i
\(732\) 17.3371 + 1.27650i 0.640799 + 0.0471809i
\(733\) −12.9441 5.76310i −0.478103 0.212865i 0.153513 0.988147i \(-0.450941\pi\)
−0.631616 + 0.775282i \(0.717608\pi\)
\(734\) 3.88116 4.31047i 0.143256 0.159102i
\(735\) 0.398487 + 12.7580i 0.0146984 + 0.470586i
\(736\) −3.82939 + 5.27071i −0.141153 + 0.194281i
\(737\) 1.93441 + 18.4047i 0.0712549 + 0.677945i
\(738\) 5.00610 19.4665i 0.184277 0.716570i
\(739\) −13.4084 + 7.74137i −0.493237 + 0.284771i −0.725917 0.687783i \(-0.758584\pi\)
0.232679 + 0.972554i \(0.425251\pi\)
\(740\) −2.44589 + 1.77704i −0.0899127 + 0.0653254i
\(741\) 50.6770 + 42.8420i 1.86167 + 1.57384i
\(742\) −22.5181 + 7.31659i −0.826667 + 0.268600i
\(743\) −2.08743 −0.0765803 −0.0382901 0.999267i \(-0.512191\pi\)
−0.0382901 + 0.999267i \(0.512191\pi\)
\(744\) 9.44672 1.93894i 0.346334 0.0710852i
\(745\) −7.32013 −0.268189
\(746\) −2.38299 + 0.774281i −0.0872475 + 0.0283484i
\(747\) −6.50258 4.13016i −0.237917 0.151115i
\(748\) −9.99697 + 7.26322i −0.365525 + 0.265570i
\(749\) 49.6154 28.6454i 1.81291 1.04668i
\(750\) 1.60353 + 0.654747i 0.0585526 + 0.0239080i
\(751\) −4.00682 38.1224i −0.146211 1.39110i −0.783937 0.620841i \(-0.786791\pi\)
0.637726 0.770264i \(-0.279875\pi\)
\(752\) 6.40451 8.81505i 0.233548 0.321452i
\(753\) −14.4254 + 0.450567i −0.525691 + 0.0164196i
\(754\) 34.0750 37.8441i 1.24094 1.37820i
\(755\) −13.0463 5.80860i −0.474804 0.211397i
\(756\) −3.88216 19.3107i −0.141193 0.702324i
\(757\) 11.0936 + 52.1913i 0.403204 + 1.89693i 0.440749 + 0.897631i \(0.354713\pi\)
−0.0375447 + 0.999295i \(0.511954\pi\)
\(758\) 6.27993 + 14.1049i 0.228097 + 0.512315i
\(759\) −42.5704 7.66805i −1.54521 0.278333i
\(760\) −2.03890 + 6.27509i −0.0739587 + 0.227622i
\(761\) −4.22032 + 1.87901i −0.152987 + 0.0681140i −0.481802 0.876280i \(-0.660017\pi\)
0.328815 + 0.944394i \(0.393351\pi\)
\(762\) −2.44557 6.79693i −0.0885937 0.246227i
\(763\) 15.8923 + 3.37801i 0.575340 + 0.122292i
\(764\) −1.21630 + 2.73185i −0.0440041 + 0.0988349i
\(765\) −8.66061 4.30331i −0.313125 0.155586i
\(766\) 15.3419 + 1.61250i 0.554325 + 0.0582620i
\(767\) −19.0597 13.8477i −0.688206 0.500011i
\(768\) −1.68213 + 0.412829i −0.0606988 + 0.0148967i
\(769\) −21.8864 + 37.9083i −0.789242 + 1.36701i 0.137190 + 0.990545i \(0.456193\pi\)
−0.926432 + 0.376463i \(0.877140\pi\)
\(770\) 7.26539 + 12.5840i 0.261826 + 0.453497i
\(771\) −13.4799 + 12.9218i −0.485466 + 0.465367i
\(772\) −17.9884 19.9781i −0.647416 0.719029i
\(773\) 8.40902 + 25.8803i 0.302451 + 0.930850i 0.980616 + 0.195940i