Properties

Label 930.2.br.a.761.20
Level $930$
Weight $2$
Character 930.761
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 761.20
Character \(\chi\) \(=\) 930.761
Dual form 930.2.br.a.11.20

$q$-expansion

\(f(q)\) \(=\) \(q+(0.951057 + 0.309017i) q^{2} +(1.43236 + 0.973832i) q^{3} +(0.809017 + 0.587785i) q^{4} +(-0.866025 - 0.500000i) q^{5} +(1.06132 + 1.36879i) q^{6} +(0.396236 - 3.76994i) q^{7} +(0.587785 + 0.809017i) q^{8} +(1.10330 + 2.78975i) q^{9} +O(q^{10})\) \(q+(0.951057 + 0.309017i) q^{2} +(1.43236 + 0.973832i) q^{3} +(0.809017 + 0.587785i) q^{4} +(-0.866025 - 0.500000i) q^{5} +(1.06132 + 1.36879i) q^{6} +(0.396236 - 3.76994i) q^{7} +(0.587785 + 0.809017i) q^{8} +(1.10330 + 2.78975i) q^{9} +(-0.669131 - 0.743145i) q^{10} +(3.50186 - 1.55913i) q^{11} +(0.586399 + 1.62977i) q^{12} +(1.20728 - 5.67981i) q^{13} +(1.54182 - 3.46298i) q^{14} +(-0.753543 - 1.55954i) q^{15} +(0.309017 + 0.951057i) q^{16} +(-2.94491 - 1.31116i) q^{17} +(0.187223 + 2.99415i) q^{18} +(6.45384 - 1.37181i) q^{19} +(-0.406737 - 0.913545i) q^{20} +(4.23884 - 5.01404i) q^{21} +(3.81227 - 0.400685i) q^{22} +(-5.27071 + 3.82939i) q^{23} +(0.0540730 + 1.73121i) q^{24} +(0.500000 + 0.866025i) q^{25} +(2.90335 - 5.02875i) q^{26} +(-1.13642 + 5.07036i) 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} +(6.53425 + 1.17699i) q^{33} +(-2.39561 - 2.15701i) q^{34} +(-2.22812 + 3.06674i) q^{35} +(-0.747184 + 2.90546i) q^{36} +(-2.61824 + 1.51164i) q^{37} +(6.56188 + 0.689681i) q^{38} +(7.26044 - 6.95984i) q^{39} +(-0.104528 - 0.994522i) q^{40} +(4.97903 - 4.48314i) q^{41} +(5.58080 - 3.45876i) q^{42} +(1.30393 + 6.13450i) q^{43} +(3.74950 + 0.796981i) q^{44} +(0.439388 - 2.96765i) q^{45} +(-6.19609 + 2.01323i) q^{46} +(-10.3627 + 3.36705i) q^{47} +(-0.483546 + 1.66318i) q^{48} +(-7.20840 - 1.53219i) q^{49} +(0.207912 + 0.978148i) q^{50} +(-2.94132 - 4.74589i) q^{51} +(4.31522 - 3.88544i) q^{52} +(-0.652891 - 6.21184i) q^{53} +(-2.64763 + 4.47102i) q^{54} +(-3.81227 - 0.400685i) q^{55} +(3.28285 - 1.89535i) q^{56} +(10.5801 + 4.32004i) q^{57} +(-5.15482 + 7.09500i) q^{58} +(3.01511 + 2.71481i) q^{59} +(0.307047 - 1.70462i) 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} +(5.85074 + 3.13858i) q^{66} +(-2.41388 + 4.18096i) q^{67} +(-1.61180 - 2.79172i) q^{68} +(-11.2787 + 0.352283i) q^{69} +(-3.06674 + 2.22812i) q^{70} +(-0.247791 + 0.0260439i) q^{71} +(-1.60845 + 2.53237i) q^{72} +(2.26238 + 5.08138i) q^{73} +(-2.95722 + 0.628577i) q^{74} +(-0.127184 + 1.72737i) q^{75} +(6.02759 + 2.68366i) q^{76} +(-4.49026 - 13.8196i) q^{77} +(9.05580 - 4.37560i) q^{78} +(0.661137 - 1.48494i) q^{79} +(0.207912 - 0.978148i) q^{80} +(-6.56544 + 6.15589i) q^{81} +(6.12071 - 2.72511i) q^{82} +(-1.71819 - 1.90824i) q^{83} +(6.37647 - 1.56491i) q^{84} +(1.89479 + 2.60795i) q^{85} +(-0.655555 + 6.23719i) q^{86} +(-12.0042 + 9.30771i) q^{87} +(3.31971 + 1.91663i) q^{88} +(0.635760 + 0.461907i) q^{89} +(1.33494 - 2.68662i) q^{90} +(-20.9342 - 6.80192i) q^{91} -6.51496 q^{92} +(-5.11334 + 8.17642i) q^{93} -10.8960 q^{94} +(-6.27509 - 2.03890i) q^{95} +(-0.973832 + 1.43236i) q^{96} +(-1.23929 - 0.900398i) q^{97} +(-6.38212 - 3.68472i) q^{98} +(8.21321 + 8.04914i) 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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{7}{30}\right)\)

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
\(3\) 1.43236 + 0.973832i 0.826973 + 0.562242i
\(4\) 0.809017 + 0.587785i 0.404508 + 0.293893i
\(5\) −0.866025 0.500000i −0.387298 0.223607i
\(6\) 1.06132 + 1.36879i 0.433284 + 0.558807i
\(7\) 0.396236 3.76994i 0.149763 1.42490i −0.619011 0.785382i \(-0.712466\pi\)
0.768774 0.639520i \(-0.220867\pi\)
\(8\) 0.587785 + 0.809017i 0.207813 + 0.286031i
\(9\) 1.10330 + 2.78975i 0.367768 + 0.929918i
\(10\) −0.669131 0.743145i −0.211598 0.235003i
\(11\) 3.50186 1.55913i 1.05585 0.470095i 0.195981 0.980608i \(-0.437211\pi\)
0.859870 + 0.510512i \(0.170544\pi\)
\(12\) 0.586399 + 1.62977i 0.169279 + 0.470473i
\(13\) 1.20728 5.67981i 0.334839 1.57530i −0.412566 0.910928i \(-0.635367\pi\)
0.747405 0.664368i \(-0.231299\pi\)
\(14\) 1.54182 3.46298i 0.412068 0.925520i
\(15\) −0.753543 1.55954i −0.194564 0.402672i
\(16\) 0.309017 + 0.951057i 0.0772542 + 0.237764i
\(17\) −2.94491 1.31116i −0.714245 0.318003i 0.0172478 0.999851i \(-0.494510\pi\)
−0.731493 + 0.681849i \(0.761176\pi\)
\(18\) 0.187223 + 2.99415i 0.0441289 + 0.705728i
\(19\) 6.45384 1.37181i 1.48061 0.314714i 0.604416 0.796669i \(-0.293406\pi\)
0.876196 + 0.481955i \(0.160073\pi\)
\(20\) −0.406737 0.913545i −0.0909491 0.204275i
\(21\) 4.23884 5.01404i 0.924990 1.09415i
\(22\) 3.81227 0.400685i 0.812778 0.0854264i
\(23\) −5.27071 + 3.82939i −1.09902 + 0.798484i −0.980899 0.194515i \(-0.937687\pi\)
−0.118119 + 0.992999i \(0.537687\pi\)
\(24\) 0.0540730 + 1.73121i 0.0110376 + 0.353381i
\(25\) 0.500000 + 0.866025i 0.100000 + 0.173205i
\(26\) 2.90335 5.02875i 0.569394 0.986219i
\(27\) −1.13642 + 5.07036i −0.218705 + 0.975791i
\(28\) 2.53648 2.81704i 0.479349 0.532371i
\(29\) −2.71005 + 8.34068i −0.503244 + 1.54882i 0.300460 + 0.953794i \(0.402860\pi\)
−0.803703 + 0.595030i \(0.797140\pi\)
\(30\) −0.234737 1.71607i −0.0428569 0.313310i
\(31\) 0.212774 + 5.56370i 0.0382153 + 0.999270i
\(32\) 1.00000i 0.176777i
\(33\) 6.53425 + 1.17699i 1.13747 + 0.204888i
\(34\) −2.39561 2.15701i −0.410843 0.369925i
\(35\) −2.22812 + 3.06674i −0.376621 + 0.518374i
\(36\) −0.747184 + 2.90546i −0.124531 + 0.484244i
\(37\) −2.61824 + 1.51164i −0.430437 + 0.248513i −0.699533 0.714601i \(-0.746608\pi\)
0.269096 + 0.963113i \(0.413275\pi\)
\(38\) 6.56188 + 0.689681i 1.06448 + 0.111881i
\(39\) 7.26044 6.95984i 1.16260 1.11447i
\(40\) −0.104528 0.994522i −0.0165274 0.157248i
\(41\) 4.97903 4.48314i 0.777594 0.700149i −0.181452 0.983400i \(-0.558080\pi\)
0.959046 + 0.283251i \(0.0914129\pi\)
\(42\) 5.58080 3.45876i 0.861136 0.533698i
\(43\) 1.30393 + 6.13450i 0.198847 + 0.935503i 0.958482 + 0.285153i \(0.0920443\pi\)
−0.759635 + 0.650350i \(0.774622\pi\)
\(44\) 3.74950 + 0.796981i 0.565258 + 0.120149i
\(45\) 0.439388 2.96765i 0.0655000 0.442391i
\(46\) −6.19609 + 2.01323i −0.913564 + 0.296835i
\(47\) −10.3627 + 3.36705i −1.51156 + 0.491135i −0.943364 0.331760i \(-0.892358\pi\)
−0.568194 + 0.822895i \(0.692358\pi\)
\(48\) −0.483546 + 1.66318i −0.0697938 + 0.240060i
\(49\) −7.20840 1.53219i −1.02977 0.218885i
\(50\) 0.207912 + 0.978148i 0.0294032 + 0.138331i
\(51\) −2.94132 4.74589i −0.411867 0.664558i
\(52\) 4.31522 3.88544i 0.598413 0.538814i
\(53\) −0.652891 6.21184i −0.0896815 0.853262i −0.943206 0.332209i \(-0.892206\pi\)
0.853524 0.521053i \(-0.174461\pi\)
\(54\) −2.64763 + 4.47102i −0.360297 + 0.608429i
\(55\) −3.81227 0.400685i −0.514046 0.0540284i
\(56\) 3.28285 1.89535i 0.438689 0.253277i
\(57\) 10.5801 + 4.32004i 1.40137 + 0.572203i
\(58\) −5.15482 + 7.09500i −0.676861 + 0.931619i
\(59\) 3.01511 + 2.71481i 0.392534 + 0.353439i 0.841640 0.540040i \(-0.181591\pi\)
−0.449106 + 0.893478i \(0.648257\pi\)
\(60\) 0.307047 1.70462i 0.0396396 0.220065i
\(61\) 10.0367i 1.28507i −0.766258 0.642533i \(-0.777883\pi\)
0.766258 0.642533i \(-0.222117\pi\)
\(62\) −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
\(66\) 5.85074 + 3.13858i 0.720176 + 0.386333i
\(67\) −2.41388 + 4.18096i −0.294902 + 0.510785i −0.974962 0.222371i \(-0.928620\pi\)
0.680060 + 0.733156i \(0.261954\pi\)
\(68\) −1.61180 2.79172i −0.195460 0.338546i
\(69\) −11.2787 + 0.352283i −1.35780 + 0.0424099i
\(70\) −3.06674 + 2.22812i −0.366546 + 0.266311i
\(71\) −0.247791 + 0.0260439i −0.0294074 + 0.00309084i −0.119221 0.992868i \(-0.538040\pi\)
0.0898134 + 0.995959i \(0.471373\pi\)
\(72\) −1.60845 + 2.53237i −0.189558 + 0.298442i
\(73\) 2.26238 + 5.08138i 0.264791 + 0.594731i 0.996189 0.0872203i \(-0.0277984\pi\)
−0.731398 + 0.681951i \(0.761132\pi\)
\(74\) −2.95722 + 0.628577i −0.343770 + 0.0730706i
\(75\) −0.127184 + 1.72737i −0.0146859 + 0.199460i
\(76\) 6.02759 + 2.68366i 0.691412 + 0.307837i
\(77\) −4.49026 13.8196i −0.511712 1.57489i
\(78\) 9.05580 4.37560i 1.02537 0.495439i
\(79\) 0.661137 1.48494i 0.0743837 0.167069i −0.872526 0.488567i \(-0.837520\pi\)
0.946910 + 0.321498i \(0.104186\pi\)
\(80\) 0.207912 0.978148i 0.0232452 0.109360i
\(81\) −6.56544 + 6.15589i −0.729494 + 0.683988i
\(82\) 6.12071 2.72511i 0.675919 0.300939i
\(83\) −1.71819 1.90824i −0.188595 0.209456i 0.641431 0.767181i \(-0.278341\pi\)
−0.830026 + 0.557725i \(0.811675\pi\)
\(84\) 6.37647 1.56491i 0.695730 0.170746i
\(85\) 1.89479 + 2.60795i 0.205519 + 0.282872i
\(86\) −0.655555 + 6.23719i −0.0706904 + 0.672574i
\(87\) −12.0042 + 9.30771i −1.28698 + 0.997891i
\(88\) 3.31971 + 1.91663i 0.353882 + 0.204314i
\(89\) 0.635760 + 0.461907i 0.0673904 + 0.0489620i 0.620970 0.783834i \(-0.286739\pi\)
−0.553580 + 0.832796i \(0.686739\pi\)
\(90\) 1.33494 2.68662i 0.140715 0.283195i
\(91\) −20.9342 6.80192i −2.19450 0.713035i
\(92\) −6.51496 −0.679231
\(93\) −5.11334 + 8.17642i −0.530228 + 0.847855i
\(94\) −10.8960 −1.12384
\(95\) −6.27509 2.03890i −0.643811 0.209187i
\(96\) −0.973832 + 1.43236i −0.0993913 + 0.146190i
\(97\) −1.23929 0.900398i −0.125831 0.0914216i 0.523090 0.852278i \(-0.324779\pi\)
−0.648921 + 0.760856i \(0.724779\pi\)
\(98\) −6.38212 3.68472i −0.644691 0.372213i
\(99\) 8.21321 + 8.04914i 0.825458 + 0.808969i
\(100\) −0.104528 + 0.994522i −0.0104528 + 0.0994522i
\(101\) 3.47758 + 4.78648i 0.346032 + 0.476272i 0.946191 0.323608i \(-0.104896\pi\)
−0.600159 + 0.799881i \(0.704896\pi\)
\(102\) −1.33080 5.42253i −0.131769 0.536911i
\(103\) −3.85034 4.27623i −0.379385 0.421350i 0.522965 0.852354i \(-0.324826\pi\)
−0.902350 + 0.431005i \(0.858159\pi\)
\(104\) 5.30468 2.36180i 0.520167 0.231593i
\(105\) −6.17796 + 2.22286i −0.602907 + 0.216929i
\(106\) 1.29863 6.10957i 0.126134 0.593414i
\(107\) 6.14722 13.8069i 0.594274 1.33476i −0.326696 0.945130i \(-0.605935\pi\)
0.920970 0.389633i \(-0.127398\pi\)
\(108\) −3.89967 + 3.43403i −0.375246 + 0.330440i
\(109\) 1.32448 + 4.07633i 0.126862 + 0.390441i 0.994236 0.107216i \(-0.0341937\pi\)
−0.867374 + 0.497657i \(0.834194\pi\)
\(110\) −3.50186 1.55913i −0.333890 0.148657i
\(111\) −5.22235 0.384513i −0.495684 0.0364963i
\(112\) 3.70787 0.788132i 0.350361 0.0744714i
\(113\) 6.73568 + 15.1286i 0.633640 + 1.42318i 0.889713 + 0.456520i \(0.150904\pi\)
−0.256073 + 0.966657i \(0.582429\pi\)
\(114\) 8.72733 + 7.37804i 0.817389 + 0.691016i
\(115\) 6.47927 0.680998i 0.604195 0.0635034i
\(116\) −7.09500 + 5.15482i −0.658754 + 0.478613i
\(117\) 17.1773 2.89854i 1.58804 0.267970i
\(118\) 2.02861 + 3.51366i 0.186749 + 0.323459i
\(119\) −6.10986 + 10.5826i −0.560090 + 0.970105i
\(120\) 0.818775 1.52631i 0.0747436 0.139332i
\(121\) 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
\(126\) 11.3620 + 0.480573i 1.01220 + 0.0428129i
\(127\) −3.09928 2.79061i −0.275017 0.247626i 0.520068 0.854125i \(-0.325907\pi\)
−0.795084 + 0.606499i \(0.792573\pi\)
\(128\) −0.587785 + 0.809017i −0.0519534 + 0.0715077i
\(129\) −4.10628 + 10.0566i −0.361538 + 0.885435i
\(130\) −5.02875 + 2.90335i −0.441051 + 0.254641i
\(131\) −9.25144 0.972365i −0.808302 0.0849559i −0.308643 0.951178i \(-0.599875\pi\)
−0.499659 + 0.866222i \(0.666541\pi\)
\(132\) 4.59450 + 4.79295i 0.399900 + 0.417172i
\(133\) −2.61438 24.8741i −0.226695 2.15686i
\(134\) −3.58772 + 3.23040i −0.309932 + 0.279064i
\(135\) 3.51935 3.82285i 0.302898 0.329018i
\(136\) −0.670225 3.15316i −0.0574713 0.270381i
\(137\) −12.0272 2.55646i −1.02755 0.218413i −0.336855 0.941557i \(-0.609363\pi\)
−0.690698 + 0.723143i \(0.742697\pi\)
\(138\) −10.8356 3.15028i −0.922385 0.268170i
\(139\) 20.5506 6.67730i 1.74308 0.566361i 0.747847 0.663871i \(-0.231088\pi\)
0.995235 + 0.0975099i \(0.0310878\pi\)
\(140\) −3.60517 + 1.17139i −0.304693 + 0.0990007i
\(141\) −18.1221 5.26872i −1.52615 0.443706i
\(142\) −0.243711 0.0518024i −0.0204518 0.00434716i
\(143\) −4.62783 21.7722i −0.386999 1.82069i
\(144\) −2.31227 + 1.91139i −0.192689 + 0.159282i
\(145\) 6.51731 5.86821i 0.541233 0.487328i
\(146\) 0.581415 + 5.53179i 0.0481182 + 0.457815i
\(147\) −8.83291 9.21441i −0.728526 0.759992i
\(148\) −3.00673 0.316020i −0.247151 0.0259766i
\(149\) 6.33942 3.66006i 0.519345 0.299844i −0.217321 0.976100i \(-0.569732\pi\)
0.736667 + 0.676256i \(0.236399\pi\)
\(150\) −0.654747 + 1.60353i −0.0534599 + 0.130928i
\(151\) −8.39415 + 11.5536i −0.683106 + 0.940215i −0.999966 0.00825726i \(-0.997372\pi\)
0.316860 + 0.948472i \(0.397372\pi\)
\(152\) 4.90329 + 4.41494i 0.397709 + 0.358099i
\(153\) 0.408678 9.66217i 0.0330397 0.781141i
\(154\) 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 −0.893621 0.448822i \(-0.851844\pi\)
0.986766 + 0.162153i \(0.0518438\pi\)
\(158\) 1.08765 1.20796i 0.0865287 0.0960999i
\(159\) 5.11412 9.53340i 0.405576 0.756047i
\(160\) 0.500000 0.866025i 0.0395285 0.0684653i
\(161\) 12.3481 + 21.3876i 0.973169 + 1.68558i
\(162\) −8.14638 + 3.82576i −0.640040 + 0.300580i
\(163\) 8.48299 6.16325i 0.664439 0.482743i −0.203720 0.979029i \(-0.565303\pi\)
0.868159 + 0.496286i \(0.165303\pi\)
\(164\) 6.66325 0.700335i 0.520312 0.0546870i
\(165\) −5.07033 4.28643i −0.394725 0.333698i
\(166\) −1.04441 2.34579i −0.0810622 0.182069i
\(167\) 10.3523 2.20044i 0.801083 0.170275i 0.210861 0.977516i \(-0.432373\pi\)
0.590222 + 0.807241i \(0.299040\pi\)
\(168\) 6.54797 + 0.482115i 0.505187 + 0.0371960i
\(169\) −18.9266 8.42668i −1.45589 0.648206i
\(170\) 0.996149 + 3.06583i 0.0764011 + 0.235138i
\(171\) 10.9475 + 16.4911i 0.837180 + 1.26111i
\(172\) −2.55087 + 5.72935i −0.194502 + 0.436858i
\(173\) −4.58062 + 21.5501i −0.348258 + 1.63843i 0.360346 + 0.932819i \(0.382659\pi\)
−0.708604 + 0.705607i \(0.750675\pi\)
\(174\) −14.2929 + 5.14266i −1.08354 + 0.389864i
\(175\) 3.46298 1.54182i 0.261777 0.116550i
\(176\) 2.56496 + 2.84867i 0.193341 + 0.214727i
\(177\) 1.67494 + 6.82480i 0.125896 + 0.512983i
\(178\) 0.461907 + 0.635760i 0.0346214 + 0.0476522i
\(179\) 1.91175 18.1891i 0.142891 1.35952i −0.654504 0.756059i \(-0.727122\pi\)
0.797395 0.603458i \(-0.206211\pi\)
\(180\) 2.09981 2.14261i 0.156511 0.159701i
\(181\) −18.0716 10.4337i −1.34325 0.775527i −0.355969 0.934498i \(-0.615849\pi\)
−0.987283 + 0.158970i \(0.949183\pi\)
\(182\) −17.8077 12.9380i −1.31999 0.959030i
\(183\) 9.77405 14.3761i 0.722518 1.06272i
\(184\) −6.19609 2.01323i −0.456782 0.148417i
\(185\) 3.02329 0.222277
\(186\) −7.38972 + 6.19613i −0.541841 + 0.454322i
\(187\) −12.3569 −0.903629
\(188\) −10.3627 3.36705i −0.755779 0.245567i
\(189\) 18.6646 + 6.29331i 1.35765 + 0.457771i
\(190\) −5.33791 3.87822i −0.387253 0.281356i
\(191\) 2.58975 + 1.49519i 0.187388 + 0.108188i 0.590759 0.806848i \(-0.298828\pi\)
−0.403371 + 0.915036i \(0.632162\pi\)
\(192\) −1.36879 + 1.06132i −0.0987841 + 0.0765944i
\(193\) −2.81006 + 26.7360i −0.202273 + 1.92450i 0.150165 + 0.988661i \(0.452019\pi\)
−0.352438 + 0.935835i \(0.614647\pi\)
\(194\) −0.900398 1.23929i −0.0646448 0.0889760i
\(195\) −9.76764 + 2.39718i −0.699475 + 0.171665i
\(196\) −4.93111 5.47656i −0.352222 0.391183i
\(197\) −12.3527 + 5.49978i −0.880094 + 0.391843i −0.796487 0.604656i \(-0.793311\pi\)
−0.0836068 + 0.996499i \(0.526644\pi\)
\(198\) 5.32390 + 10.1932i 0.378353 + 0.724400i
\(199\) −5.46565 + 25.7139i −0.387450 + 1.82281i 0.161403 + 0.986889i \(0.448398\pi\)
−0.548853 + 0.835919i \(0.684935\pi\)
\(200\) −0.406737 + 0.913545i −0.0287606 + 0.0645974i
\(201\) −7.52908 + 3.63792i −0.531061 + 0.256599i
\(202\) 1.82827 + 5.62684i 0.128637 + 0.395903i
\(203\) 30.3700 + 13.5216i 2.13156 + 0.949030i
\(204\) 0.409990 5.56837i 0.0287050 0.389864i
\(205\) −6.55354 + 1.39300i −0.457719 + 0.0972912i
\(206\) −2.34046 5.25676i −0.163068 0.366256i
\(207\) −16.4983 10.4790i −1.14671 0.728340i
\(208\) 5.77489 0.606965i 0.400417 0.0420855i
\(209\) 20.4616 14.8663i 1.41536 1.02832i
\(210\) −6.56249 + 0.204975i −0.452855 + 0.0141446i
\(211\) −0.171275 0.296656i −0.0117910 0.0204227i 0.860070 0.510177i \(-0.170420\pi\)
−0.871861 + 0.489754i \(0.837087\pi\)
\(212\) 3.12303 5.40925i 0.214491 0.371509i
\(213\) −0.380288 0.204002i −0.0260569 0.0139780i
\(214\) 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
\(219\) −1.70788 + 9.48154i −0.115408 + 0.640703i
\(220\) −2.84867 2.56496i −0.192057 0.172929i
\(221\) −11.0025 + 15.1436i −0.740106 + 1.01867i
\(222\) −4.84793 1.97949i −0.325372 0.132855i
\(223\) −11.8694 + 6.85282i −0.794836 + 0.458899i −0.841662 0.540004i \(-0.818423\pi\)
0.0468261 + 0.998903i \(0.485089\pi\)
\(224\) 3.76994 + 0.396236i 0.251890 + 0.0264747i
\(225\) −1.86435 + 2.35037i −0.124290 + 0.156691i
\(226\) 1.73102 + 16.4696i 0.115146 + 1.09554i
\(227\) 1.73701 1.56401i 0.115290 0.103807i −0.609470 0.792809i \(-0.708618\pi\)
0.724759 + 0.689002i \(0.241951\pi\)
\(228\) 6.02025 + 9.71382i 0.398701 + 0.643314i
\(229\) 1.57266 + 7.39880i 0.103925 + 0.488926i 0.999069 + 0.0431496i \(0.0137392\pi\)
−0.895144 + 0.445777i \(0.852927\pi\)
\(230\) 6.37259 + 1.35454i 0.420196 + 0.0893154i
\(231\) 7.02630 24.1674i 0.462296 1.59010i
\(232\) −8.34068 + 2.71005i −0.547592 + 0.177923i
\(233\) −1.61858 + 0.525910i −0.106037 + 0.0344535i −0.361555 0.932351i \(-0.617754\pi\)
0.255518 + 0.966804i \(0.417754\pi\)
\(234\) 17.2322 + 2.55139i 1.12651 + 0.166790i
\(235\) 10.6579 + 2.26541i 0.695245 + 0.147779i
\(236\) 0.843545 + 3.96857i 0.0549101 + 0.258332i
\(237\) 2.39306 1.48313i 0.155446 0.0963395i
\(238\) −9.08103 + 8.17660i −0.588636 + 0.530010i
\(239\) −0.228995 2.17874i −0.0148125 0.140931i 0.984616 0.174731i \(-0.0559057\pi\)
−0.999429 + 0.0338002i \(0.989239\pi\)
\(240\) 1.25036 1.19859i 0.0807101 0.0773685i
\(241\) −8.34967 0.877586i −0.537850 0.0565303i −0.168290 0.985737i \(-0.553825\pi\)
−0.369559 + 0.929207i \(0.620491\pi\)
\(242\) 3.19904 1.84697i 0.205642 0.118727i
\(243\) −15.3989 + 2.42381i −0.987838 + 0.155487i
\(244\) 5.89942 8.11985i 0.377672 0.519820i
\(245\) 5.47656 + 4.93111i 0.349884 + 0.315037i
\(246\) 11.4209 + 2.05720i 0.728167 + 0.131162i
\(247\) 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 \(-0.681963\pi\)
0.892952 + 0.450152i \(0.148630\pi\)
\(252\) 10.6574 + 3.96809i 0.671350 + 0.249966i
\(253\) −12.4868 + 21.6277i −0.785037 + 1.35972i
\(254\) −2.08525 3.61175i −0.130840 0.226622i
\(255\) 0.174310 + 5.58073i 0.0109157 + 0.349479i
\(256\) −0.809017 + 0.587785i −0.0505636 + 0.0367366i
\(257\) 10.7218 1.12691i 0.668807 0.0702944i 0.235961 0.971762i \(-0.424176\pi\)
0.432846 + 0.901468i \(0.357510\pi\)
\(258\) −7.01297 + 8.29550i −0.436608 + 0.516455i
\(259\) 4.66136 + 10.4696i 0.289643 + 0.650548i
\(260\) −5.67981 + 1.20728i −0.352247 + 0.0748724i
\(261\) −26.2584 + 1.64193i −1.62536 + 0.101633i
\(262\) −8.49816 3.78363i −0.525018 0.233753i
\(263\) 1.39511 + 4.29372i 0.0860264 + 0.264762i 0.984811 0.173628i \(-0.0555489\pi\)
−0.898785 + 0.438390i \(0.855549\pi\)
\(264\) 2.88853 + 5.97814i 0.177777 + 0.367929i
\(265\) −2.54050 + 5.70606i −0.156062 + 0.350521i
\(266\) 5.20011 24.4646i 0.318839 1.50002i
\(267\) 0.460817 + 1.28074i 0.0282015 + 0.0783800i
\(268\) −4.41037 + 1.96362i −0.269406 + 0.119947i
\(269\) 13.4283 + 14.9136i 0.818735 + 0.909298i 0.997210 0.0746468i \(-0.0237829\pi\)
−0.178475 + 0.983944i \(0.557116\pi\)
\(270\) 4.52843 2.54821i 0.275591 0.155079i
\(271\) −17.2832 23.7883i −1.04988 1.44504i −0.888911 0.458080i \(-0.848537\pi\)
−0.160971 0.986959i \(-0.551463\pi\)
\(272\) 0.336958 3.20595i 0.0204311 0.194389i
\(273\) −23.3613 30.1291i −1.41389 1.82350i
\(274\) −10.6486 6.14795i −0.643303 0.371411i
\(275\) 3.10118 + 2.25314i 0.187008 + 0.135869i
\(276\) −9.33175 6.34447i −0.561706 0.381892i
\(277\) −26.5910 8.63994i −1.59770 0.519123i −0.631161 0.775652i \(-0.717421\pi\)
−0.966537 + 0.256528i \(0.917421\pi\)
\(278\) 21.6082 1.29597
\(279\) −15.2866 + 6.73203i −0.915184 + 0.403036i
\(280\) −3.79070 −0.226538
\(281\) 4.05756 + 1.31838i 0.242053 + 0.0786479i 0.427531 0.904000i \(-0.359383\pi\)
−0.185478 + 0.982648i \(0.559383\pi\)
\(282\) −15.6070 10.6109i −0.929382 0.631868i
\(283\) −0.885260 0.643179i −0.0526233 0.0382330i 0.561163 0.827706i \(-0.310354\pi\)
−0.613786 + 0.789472i \(0.710354\pi\)
\(284\) −0.215775 0.124578i −0.0128039 0.00739233i
\(285\) −7.00264 9.03132i −0.414800 0.534969i
\(286\) 2.32666 22.1367i 0.137578 1.30897i
\(287\) −14.9283 20.5470i −0.881189 1.21285i
\(288\) −2.78975 + 1.10330i −0.164388 + 0.0650128i
\(289\) −4.42187 4.91098i −0.260110 0.288881i
\(290\) 8.01171 3.56704i 0.470464 0.209464i
\(291\) −0.898274 2.49656i −0.0526578 0.146351i
\(292\) −1.15646 + 5.44072i −0.0676767 + 0.318394i
\(293\) 0.363693 0.816869i 0.0212472 0.0477220i −0.902610 0.430459i \(-0.858352\pi\)
0.923857 + 0.382737i \(0.125018\pi\)
\(294\) −5.55319 11.4929i −0.323869 0.670282i
\(295\) −1.25375 3.85865i −0.0729963 0.224659i
\(296\) −2.76191 1.22968i −0.160533 0.0714738i
\(297\) 3.92575 + 19.5275i 0.227795 + 1.13310i
\(298\) 7.16017 1.52194i 0.414777 0.0881636i
\(299\) 15.3870 + 34.5598i 0.889854 + 1.99864i
\(300\) −1.11822 + 1.32272i −0.0645604 + 0.0763672i
\(301\) 23.6434 2.48502i 1.36278 0.143234i
\(302\) −11.5536 + 8.39415i −0.664833 + 0.483029i
\(303\) 0.319918 + 10.2425i 0.0183788 + 0.588418i
\(304\) 3.29901 + 5.71406i 0.189211 + 0.327724i
\(305\) −5.01835 + 8.69203i −0.287350 + 0.497704i
\(306\) 3.37445 9.06299i 0.192905 0.518096i
\(307\) 2.26045 2.51048i 0.129011 0.143281i −0.675178 0.737655i \(-0.735933\pi\)
0.804189 + 0.594374i \(0.202600\pi\)
\(308\) 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 \(-0.0228308\pi\)
\(312\) 9.89821 + 1.78293i 0.560376 + 0.100938i
\(313\) −3.06658 2.76116i −0.173333 0.156070i 0.577898 0.816109i \(-0.303873\pi\)
−0.751231 + 0.660039i \(0.770540\pi\)
\(314\) 2.21995 3.05550i 0.125279 0.172432i
\(315\) −11.0138 2.83235i −0.620555 0.159585i
\(316\) 1.40770 0.812733i 0.0791891 0.0457198i
\(317\) −19.1881 2.01675i −1.07771 0.113272i −0.451000 0.892524i \(-0.648933\pi\)
−0.626711 + 0.779252i \(0.715599\pi\)
\(318\) 7.80980 7.48645i 0.437952 0.419819i
\(319\) 3.51397 + 33.4332i 0.196745 + 1.87190i
\(320\) 0.743145 0.669131i 0.0415431 0.0374055i
\(321\) 22.2506 13.7901i 1.24191 0.769686i
\(322\) 5.13464 + 24.1566i 0.286142 + 1.34619i
\(323\) −20.8046 4.42216i −1.15760 0.246056i
\(324\) −8.92990 + 1.12115i −0.496105 + 0.0622860i
\(325\) 5.52250 1.79437i 0.306333 0.0995337i
\(326\) 9.97235 3.24021i 0.552317 0.179459i
\(327\) −2.07253 + 7.12858i −0.114611 + 0.394212i
\(328\) 6.55354 + 1.39300i 0.361859 + 0.0769154i
\(329\) 8.58748 + 40.4009i 0.473443 + 2.22738i
\(330\) −3.49759 5.64346i −0.192536 0.310662i
\(331\) −11.6819 + 10.5184i −0.642096 + 0.578146i −0.924515 0.381145i \(-0.875530\pi\)
0.282419 + 0.959291i \(0.408863\pi\)
\(332\) −0.268407 2.55372i −0.0147307 0.140154i
\(333\) −7.10583 5.63645i −0.389397 0.308876i
\(334\) 10.5256 + 1.10628i 0.575934 + 0.0605331i
\(335\) 4.18096 2.41388i 0.228430 0.131884i
\(336\) 6.07850 + 2.48195i 0.331610 + 0.135402i
\(337\) 4.33257 5.96328i 0.236010 0.324840i −0.674540 0.738238i \(-0.735658\pi\)
0.910551 + 0.413398i \(0.135658\pi\)
\(338\) −15.3963 13.8629i −0.837449 0.754042i
\(339\) −5.08479 + 28.2290i −0.276168 + 1.53319i
\(340\) 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
\(345\) 9.94381 + 5.33428i 0.535357 + 0.287188i
\(346\) −11.0158 + 19.0799i −0.592212 + 1.02574i
\(347\) −16.4142 28.4303i −0.881161 1.52622i −0.850051 0.526700i \(-0.823429\pi\)
−0.0311104 0.999516i \(-0.509904\pi\)
\(348\) −15.1825 + 0.474215i −0.813868 + 0.0254206i
\(349\) 7.83553 5.69285i 0.419426 0.304731i −0.357981 0.933729i \(-0.616535\pi\)
0.777407 + 0.628998i \(0.216535\pi\)
\(350\) 3.76994 0.396236i 0.201512 0.0211797i
\(351\) 27.4267 + 12.5760i 1.46393 + 0.671258i
\(352\) 1.55913 + 3.50186i 0.0831019 + 0.186650i
\(353\) 12.9693 2.75671i 0.690285 0.146725i 0.150604 0.988594i \(-0.451878\pi\)
0.539681 + 0.841869i \(0.318545\pi\)
\(354\) −0.516013 + 7.00835i −0.0274258 + 0.372490i
\(355\) 0.227615 + 0.101341i 0.0120806 + 0.00537861i
\(356\) 0.242839 + 0.747380i 0.0128704 + 0.0396111i
\(357\) −19.0572 + 9.20810i −1.00861 + 0.487344i
\(358\) 7.43892 16.7081i 0.393159 0.883050i
\(359\) 6.31822 29.7249i 0.333463 1.56882i −0.417627 0.908619i \(-0.637138\pi\)
0.751090 0.660200i \(-0.229529\pi\)
\(360\) 2.65914 1.38887i 0.140149 0.0731998i
\(361\) 22.4128 9.97884i 1.17962 0.525202i
\(362\) −13.9630 15.5074i −0.733877 0.815053i
\(363\) 6.21368 1.52496i 0.326134 0.0800398i
\(364\) −12.9380 17.8077i −0.678137 0.933375i
\(365\) 0.581415 5.53179i 0.0304326 0.289547i
\(366\) 13.7381 10.6522i 0.718104 0.556798i
\(367\) −5.02321 2.90015i −0.262210 0.151387i 0.363133 0.931737i \(-0.381707\pi\)
−0.625342 + 0.780351i \(0.715041\pi\)
\(368\) −5.27071 3.82939i −0.274755 0.199621i
\(369\) 18.0002 + 8.94400i 0.937055 + 0.465606i
\(370\) 2.87532 + 0.934247i 0.149481 + 0.0485692i
\(371\) −23.6770 −1.22925
\(372\) −8.94275 + 3.60932i −0.463660 + 0.187134i
\(373\) 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
\(375\) 0.973832 1.43236i 0.0502885 0.0739667i
\(376\) −8.81505 6.40451i −0.454602 0.330287i
\(377\) 44.1017 + 25.4621i 2.27135 + 1.31137i
\(378\) 15.8064 + 11.7530i 0.812993 + 0.604508i
\(379\) −1.61390 + 15.3552i −0.0829003 + 0.788744i 0.871536 + 0.490331i \(0.163124\pi\)
−0.954437 + 0.298413i \(0.903543\pi\)
\(380\) −3.87822 5.33791i −0.198949 0.273829i
\(381\) −1.72170 7.01533i −0.0882055 0.359406i
\(382\) 2.00096 + 2.22229i 0.102378 + 0.113702i
\(383\) 14.0927 6.27449i 0.720105 0.320611i −0.0137615 0.999905i \(-0.504381\pi\)
0.733866 + 0.679294i \(0.237714\pi\)
\(384\) −1.62977 + 0.586399i −0.0831686 + 0.0299245i
\(385\) −3.02112 + 14.2132i −0.153970 + 0.724374i
\(386\) −10.9344 + 24.5590i −0.556546 + 1.25002i
\(387\) −15.6751 + 10.4059i −0.796811 + 0.528959i
\(388\) −0.473367 1.45688i −0.0240316 0.0739616i
\(389\) 27.1251 + 12.0769i 1.37530 + 0.612321i 0.955417 0.295259i \(-0.0954061\pi\)
0.419878 + 0.907580i \(0.362073\pi\)
\(390\) −10.0303 0.738517i −0.507906 0.0373963i
\(391\) 20.5427 4.36649i 1.03889 0.220823i
\(392\) −2.99742 6.73231i −0.151393 0.340033i
\(393\) −12.3045 10.4021i −0.620678 0.524717i
\(394\) −13.4476 + 1.41340i −0.677482 + 0.0712063i
\(395\) −1.31503 + 0.955425i −0.0661663 + 0.0480727i
\(396\) 1.91346 + 11.3395i 0.0961549 + 0.569831i
\(397\) 14.6958 + 25.4539i 0.737563 + 1.27750i 0.953590 + 0.301109i \(0.0973570\pi\)
−0.216026 + 0.976388i \(0.569310\pi\)
\(398\) −13.1442 + 22.7664i −0.658857 + 1.14117i
\(399\) 20.4785 38.1747i 1.02521 1.91112i
\(400\) −0.669131 + 0.743145i −0.0334565 + 0.0371572i
\(401\) 7.07767 21.7828i 0.353442 1.08778i −0.603465 0.797389i \(-0.706214\pi\)
0.956907 0.290393i \(-0.0937862\pi\)
\(402\) −8.28476 + 1.13325i −0.413206 + 0.0565215i
\(403\) 31.8576 + 5.50843i 1.58694 + 0.274395i
\(404\) 5.91641i 0.294353i
\(405\) 8.76378 2.04843i 0.435476 0.101788i
\(406\) 24.7052 + 22.2447i 1.22610 + 1.10398i
\(407\) −6.81188 + 9.37575i −0.337652 + 0.464739i
\(408\) 2.11065 5.16914i 0.104493 0.255911i
\(409\) −26.4574 + 15.2752i −1.30823 + 0.755309i −0.981801 0.189911i \(-0.939180\pi\)
−0.326433 + 0.945220i \(0.605847\pi\)
\(410\) −6.66325 0.700335i −0.329074 0.0345871i
\(411\) −14.7377 15.3742i −0.726957 0.758355i
\(412\) −0.601482 5.72272i −0.0296329 0.281938i
\(413\) 11.4294 10.2911i 0.562403 0.506390i
\(414\) −12.4526 15.0644i −0.612011 0.740373i
\(415\) 0.533873 + 2.51168i 0.0262068 + 0.123293i
\(416\) 5.67981 + 1.20728i 0.278476 + 0.0591918i
\(417\) 35.9384 + 10.4486i 1.75991 + 0.511668i
\(418\) 24.0541 7.81565i 1.17652 0.382276i
\(419\) −18.3640 + 5.96684i −0.897142 + 0.291499i −0.721057 0.692876i \(-0.756343\pi\)
−0.176085 + 0.984375i \(0.556343\pi\)
\(420\) −6.30464 1.83298i −0.307635 0.0894402i
\(421\) 28.2768 + 6.01041i 1.37813 + 0.292930i 0.836627 0.547773i \(-0.184524\pi\)
0.541498 + 0.840702i \(0.317857\pi\)
\(422\) −0.0712199 0.335064i −0.00346693 0.0163106i
\(423\) −20.8265 25.1945i −1.01262 1.22500i
\(424\) 4.64173 4.17943i 0.225422 0.202971i
\(425\) −0.336958 3.20595i −0.0163449 0.155511i
\(426\) −0.298635 0.311533i −0.0144689 0.0150938i
\(427\) −37.8377 3.97690i −1.83109 0.192456i
\(428\) 13.0887 7.55676i 0.632666 0.365270i
\(429\) 14.5738 35.6924i 0.703628 1.72324i
\(430\) 3.68632 5.07379i 0.177770 0.244680i
\(431\) −9.80730 8.83054i −0.472401 0.425352i 0.398232 0.917285i \(-0.369624\pi\)
−0.870633 + 0.491933i \(0.836291\pi\)
\(432\) −5.17337 + 0.486024i −0.248904 + 0.0233839i
\(433\) 2.20724i 0.106073i 0.998593 + 0.0530366i \(0.0168900\pi\)
−0.998593 + 0.0530366i \(0.983110\pi\)
\(434\) 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
\(438\) −4.55424 + 8.48971i −0.217610 + 0.405654i
\(439\) 12.1059 20.9680i 0.577783 1.00075i −0.417950 0.908470i \(-0.637251\pi\)
0.995733 0.0922794i \(-0.0294153\pi\)
\(440\) −1.91663 3.31971i −0.0913719 0.158261i
\(441\) −3.67861 21.8001i −0.175172 1.03810i
\(442\) −15.1436 + 11.0025i −0.720307 + 0.523334i
\(443\) −27.2032 + 2.85917i −1.29246 + 0.135843i −0.725684 0.688028i \(-0.758477\pi\)
−0.566777 + 0.823871i \(0.691810\pi\)
\(444\) −3.99896 3.38070i −0.189782 0.160441i
\(445\) −0.319631 0.717903i −0.0151520 0.0340319i
\(446\) −13.4061 + 2.84956i −0.634799 + 0.134931i
\(447\) 12.6446 + 0.931000i 0.598069 + 0.0440348i
\(448\) 3.46298 + 1.54182i 0.163610 + 0.0728441i
\(449\) −7.99247 24.5983i −0.377188 1.16087i −0.941991 0.335639i \(-0.891048\pi\)
0.564803 0.825226i \(-0.308952\pi\)
\(450\) −2.49940 + 1.65922i −0.117823 + 0.0782162i
\(451\) 10.4461 23.4623i 0.491887 1.10480i
\(452\) −3.44308 + 16.1984i −0.161949 + 0.761910i
\(453\) −23.2747 + 8.37435i −1.09354 + 0.393461i
\(454\) 2.13530 0.950698i 0.100215 0.0446185i
\(455\) 14.7286 + 16.3577i 0.690485 + 0.766862i
\(456\) 2.72386 + 11.0988i 0.127556 + 0.519747i
\(457\) −2.36208 3.25113i −0.110494 0.152081i 0.750189 0.661224i \(-0.229963\pi\)
−0.860682 + 0.509143i \(0.829963\pi\)
\(458\) −0.790663 + 7.52266i −0.0369453 + 0.351511i
\(459\) 9.99471 13.4417i 0.466513 0.627406i
\(460\) 5.64212 + 3.25748i 0.263065 + 0.151881i
\(461\) 31.7223 + 23.0476i 1.47746 + 1.07344i 0.978365 + 0.206886i \(0.0663329\pi\)
0.499092 + 0.866549i \(0.333667\pi\)
\(462\) 14.1505 20.8133i 0.658342 0.968322i
\(463\) −17.8743 5.80772i −0.830691 0.269908i −0.137354 0.990522i \(-0.543860\pi\)
−0.693336 + 0.720614i \(0.743860\pi\)
\(464\) −8.76991 −0.407133
\(465\) 8.51649 4.52432i 0.394943 0.209810i
\(466\) −1.70188 −0.0788380
\(467\) −25.4428 8.26686i −1.17735 0.382544i −0.345969 0.938246i \(-0.612450\pi\)
−0.831382 + 0.555702i \(0.812450\pi\)
\(468\) 15.6004 + 7.75158i 0.721130 + 0.358317i
\(469\) 14.8055 + 10.7568i 0.683653 + 0.496703i
\(470\) 9.43622 + 5.44800i 0.435260 + 0.251298i
\(471\) 5.16966 4.00841i 0.238205 0.184698i
\(472\) −0.424096 + 4.03500i −0.0195206 + 0.185726i
\(473\) 14.1307 + 19.4492i 0.649729 + 0.894275i
\(474\) 2.73425 0.671040i 0.125588 0.0308219i
\(475\) 4.41494 + 4.90329i 0.202571 + 0.224978i
\(476\) −11.1633 + 4.97021i −0.511668 + 0.227809i
\(477\) 16.6092 8.67496i 0.760482 0.397199i
\(478\) 0.455481 2.14287i 0.0208332 0.0980126i
\(479\) 8.62513 19.3724i 0.394092 0.885146i −0.602137 0.798392i \(-0.705684\pi\)
0.996230 0.0867535i \(-0.0276493\pi\)
\(480\) 1.55954 0.753543i 0.0711830 0.0343944i
\(481\) 5.42489 + 16.6961i 0.247354 + 0.761277i
\(482\) −7.66982 3.41482i −0.349351 0.155541i
\(483\) −3.14096 + 42.6597i −0.142919 + 1.94108i
\(484\) 3.61321 0.768012i 0.164237 0.0349096i
\(485\) 0.623059 + 1.39941i 0.0282917 + 0.0635441i
\(486\) −15.3942 2.45334i −0.698295 0.111286i
\(487\) 25.5534 2.68577i 1.15794 0.121704i 0.493978 0.869474i \(-0.335542\pi\)
0.663958 + 0.747770i \(0.268876\pi\)
\(488\) 8.11985 5.89942i 0.367568 0.267054i
\(489\) 18.1526 0.566985i 0.820891 0.0256399i
\(490\) 3.68472 + 6.38212i 0.166459 + 0.288315i
\(491\) −10.3920 + 17.9996i −0.468987 + 0.812309i −0.999372 0.0354484i \(-0.988714\pi\)
0.530385 + 0.847757i \(0.322047\pi\)
\(492\) 10.2262 + 5.48575i 0.461031 + 0.247317i
\(493\) 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
\(498\) 0.788431 4.37710i 0.0353304 0.196142i
\(499\) 4.45339 + 4.00985i 0.199361 + 0.179506i 0.762764 0.646676i \(-0.223842\pi\)
−0.563403 + 0.826182i \(0.690508\pi\)
\(500\) 0.587785 0.809017i 0.0262866 0.0361803i
\(501\) 16.9710 + 6.92955i 0.758210 + 0.309589i
\(502\) 7.21622 4.16629i 0.322076 0.185951i
\(503\) 40.9598 + 4.30504i 1.82631 + 0.191952i 0.954562 0.298011i \(-0.0963232\pi\)
0.871743 + 0.489963i \(0.162990\pi\)
\(504\) 8.90954 + 7.06718i 0.396862 + 0.314797i
\(505\) −0.618434 5.88400i −0.0275199 0.261835i
\(506\) −18.5590 + 16.7106i −0.825047 + 0.742876i
\(507\) −18.9036 30.5014i −0.839536 1.35461i
\(508\) −0.867094 4.07936i −0.0384711 0.180992i
\(509\) −9.09295 1.93277i −0.403038 0.0856683i 0.00193257 0.999998i \(-0.499385\pi\)
−0.404970 + 0.914330i \(0.632718\pi\)
\(510\) −1.55876 + 5.36145i −0.0690231 + 0.237409i
\(511\) 20.0529 6.51559i 0.887089 0.288233i
\(512\) −0.951057 + 0.309017i −0.0420312 + 0.0136568i
\(513\) −0.378744 + 34.2822i −0.0167220 + 1.51360i
\(514\) 10.5453 + 2.24146i 0.465131 + 0.0988667i
\(515\) 1.19637 + 5.62849i 0.0527185 + 0.248021i
\(516\) −9.23318 + 5.72236i −0.406468 + 0.251913i
\(517\) −31.0391 + 27.9478i −1.36510 + 1.22914i
\(518\) 1.19794 + 11.3976i 0.0526343 + 0.500782i
\(519\) −27.5473 + 26.4068i −1.20919 + 1.15913i
\(520\) −5.77489 0.606965i −0.253246 0.0266172i
\(521\) 17.9336 10.3540i 0.785687 0.453616i −0.0527551 0.998607i \(-0.516800\pi\)
0.838442 + 0.544991i \(0.183467\pi\)
\(522\) −25.4806 6.55274i −1.11526 0.286805i
\(523\) 3.02719 4.16657i 0.132370 0.182191i −0.737687 0.675143i \(-0.764082\pi\)
0.870057 + 0.492951i \(0.164082\pi\)
\(524\) −6.91303 6.22452i −0.301997 0.271919i
\(525\) 6.46170 + 1.16392i 0.282012 + 0.0507978i
\(526\) 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
\(531\) −4.24708 + 11.4067i −0.184308 + 0.495007i
\(532\) 12.5056 21.6603i 0.542185 0.939093i
\(533\) −19.4523 33.6924i −0.842573 1.45938i
\(534\) 0.0424928 + 1.36046i 0.00183885 + 0.0588727i
\(535\) −12.2271 + 8.88351i −0.528623 + 0.384067i
\(536\) −4.80130 + 0.504637i −0.207385 + 0.0217970i
\(537\) 20.4514 24.1916i 0.882544 1.04394i
\(538\) 8.16248 + 18.3332i 0.351909 + 0.790402i
\(539\) −27.6317 + 5.87330i −1.19018 + 0.252981i
\(540\) 5.09423 1.02413i 0.219221 0.0440714i
\(541\) −8.89548 3.96052i −0.382447 0.170276i 0.206503 0.978446i \(-0.433792\pi\)
−0.588950 + 0.808170i \(0.700458\pi\)
\(542\) −9.08634 27.9649i −0.390292 1.20119i
\(543\) −15.7244 32.5435i −0.674799 1.39657i
\(544\) 1.31116 2.94491i 0.0562154 0.126262i
\(545\) 0.891131 4.19244i 0.0381719 0.179585i
\(546\) −12.9075 35.8736i −0.552390 1.53525i
\(547\) 37.5364 16.7123i 1.60494 0.714566i 0.608091 0.793867i \(-0.291935\pi\)
0.996851 + 0.0793009i \(0.0252688\pi\)
\(548\) −8.22756 9.13763i −0.351464 0.390340i
\(549\) 27.9999 11.0735i 1.19501 0.472606i
\(550\) 2.25314 + 3.10118i 0.0960741 + 0.132235i
\(551\) −6.04844 + 57.5470i −0.257672 + 2.45159i
\(552\) −6.91448 8.91762i −0.294300 0.379559i
\(553\) −5.33616 3.08083i −0.226916 0.131010i
\(554\) −22.6196 16.4341i −0.961017 0.698219i
\(555\) 4.33043 + 2.94417i 0.183817 + 0.124973i
\(556\) 20.5506 + 6.67730i 0.871541 + 0.283181i
\(557\) 30.1693 1.27831 0.639157 0.769076i \(-0.279283\pi\)
0.639157 + 0.769076i \(0.279283\pi\)
\(558\) −16.6187 + 1.67873i −0.703527 + 0.0710662i
\(559\) 36.4170 1.54028
\(560\) −3.60517 1.17139i −0.152346 0.0495003i
\(561\) −17.6996 12.0336i −0.747276 0.508058i
\(562\) 3.45156 + 2.50771i 0.145595 + 0.105781i
\(563\) −26.0865 15.0611i −1.09942 0.634748i −0.163348 0.986568i \(-0.552229\pi\)
−0.936068 + 0.351820i \(0.885563\pi\)
\(564\) −11.5642 14.9144i −0.486940 0.628008i
\(565\) 1.73102 16.4696i 0.0728247 0.692881i
\(566\) −0.643179 0.885260i −0.0270348 0.0372103i
\(567\) 20.6059 + 27.1905i 0.865364 + 1.14189i
\(568\) −0.166718 0.185159i −0.00699532 0.00776909i
\(569\) −8.74159 + 3.89201i −0.366467 + 0.163161i −0.581705 0.813400i \(-0.697614\pi\)
0.215238 + 0.976562i \(0.430947\pi\)
\(570\) −3.86907 10.7532i −0.162058 0.450403i
\(571\) −2.28339 + 10.7425i −0.0955571 + 0.449561i 0.904191 + 0.427128i \(0.140475\pi\)
−0.999748 + 0.0224330i \(0.992859\pi\)
\(572\) 9.05340 20.3343i 0.378542 0.850219i
\(573\) 2.25338 + 4.66363i 0.0941364 + 0.194826i
\(574\) −7.84827 24.1545i −0.327580 1.00819i
\(575\) −5.95171 2.64987i −0.248203 0.110507i
\(576\) −2.99415 + 0.187223i −0.124756 + 0.00780096i
\(577\) 27.3387 5.81101i 1.13812 0.241916i 0.399957 0.916534i \(-0.369025\pi\)
0.738167 + 0.674618i \(0.235692\pi\)
\(578\) −2.68787 6.03705i −0.111801 0.251108i
\(579\) −30.0613 + 35.5590i −1.24931 + 1.47778i
\(580\) 8.72186 0.916705i 0.362156 0.0380641i
\(581\) −7.87475 + 5.72134i −0.326700 + 0.237361i
\(582\) −0.0828317 2.65195i −0.00343348 0.109927i
\(583\) −11.9714 20.7351i −0.495805 0.858760i
\(584\) −2.78113 + 4.81706i −0.115084 + 0.199331i
\(585\) −16.3252 6.07842i −0.674965 0.251312i
\(586\) 0.598319 0.664501i 0.0247163 0.0274503i
\(587\) −6.55193 + 20.1648i −0.270427 + 0.832289i 0.719966 + 0.694009i \(0.244157\pi\)
−0.990393 + 0.138280i \(0.955843\pi\)
\(588\) −1.72988 12.6465i −0.0713391 0.521532i
\(589\) 9.00552 + 35.6153i 0.371066 + 1.46750i
\(590\) 4.05723i 0.167033i
\(591\) −23.0494 4.15180i −0.948124 0.170782i
\(592\) −2.24674 2.02297i −0.0923405 0.0831437i
\(593\) 1.95779 2.69467i 0.0803969 0.110657i −0.766924 0.641737i \(-0.778214\pi\)
0.847321 + 0.531081i \(0.178214\pi\)
\(594\) −2.30073 + 19.7849i −0.0944001 + 0.811785i
\(595\) 10.5826 6.10986i 0.433844 0.250480i
\(596\) 7.28003 + 0.765162i 0.298202 + 0.0313422i
\(597\) −32.8698 + 31.5089i −1.34527 + 1.28957i
\(598\) 3.95435 + 37.6232i 0.161706 + 1.53853i
\(599\) 28.6763 25.8203i 1.17168 1.05499i 0.174154 0.984718i \(-0.444281\pi\)
0.997528 0.0702685i \(-0.0223856\pi\)
\(600\) −1.47223 + 0.912432i −0.0601036 + 0.0372499i
\(601\) −1.38410 6.51169i −0.0564587 0.265617i 0.940860 0.338795i \(-0.110019\pi\)
−0.997319 + 0.0731777i \(0.976686\pi\)
\(602\) 23.2541 + 4.94281i 0.947765 + 0.201454i
\(603\) −14.3271 2.12125i −0.583443 0.0863841i
\(604\) −13.5820 + 4.41307i −0.552645 + 0.179565i
\(605\) −3.51314 + 1.14149i −0.142829 + 0.0464081i
\(606\) −2.86086 + 9.84009i −0.116214 + 0.399726i
\(607\) −6.36079 1.35203i −0.258177 0.0548771i 0.0770048 0.997031i \(-0.475464\pi\)
−0.335182 + 0.942154i \(0.608798\pi\)
\(608\) 1.37181 + 6.45384i 0.0556341 + 0.261738i
\(609\) 30.3330 + 48.9431i 1.22915 + 1.98327i
\(610\) −7.45871 + 6.71586i −0.301995 + 0.271917i
\(611\) 6.61350 + 62.9232i 0.267553 + 2.54560i
\(612\) 6.00991 7.57665i 0.242936 0.306268i
\(613\) 22.0026 + 2.31257i 0.888678 + 0.0934038i 0.537854 0.843038i \(-0.319235\pi\)
0.350823 + 0.936442i \(0.385902\pi\)
\(614\) 2.92560 1.68909i 0.118068 0.0681663i
\(615\) −10.7436 4.38677i −0.433222 0.176892i
\(616\) 8.54098 11.7556i 0.344126 0.473648i
\(617\) −20.3409 18.3150i −0.818894 0.737336i 0.148961 0.988843i \(-0.452407\pi\)
−0.967855 + 0.251507i \(0.919074\pi\)
\(618\) 1.76682 9.80878i 0.0710719 0.394567i
\(619\) 15.3993i 0.618949i 0.950908 + 0.309475i \(0.100153\pi\)
−0.950908 + 0.309475i \(0.899847\pi\)
\(620\) 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
\(624\) 8.86280 + 4.75438i 0.354796 + 0.190328i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) −2.06324 3.57364i −0.0824638 0.142832i
\(627\) 43.7856 1.36761i 1.74863 0.0546172i
\(628\) 3.05550 2.21995i 0.121928 0.0885856i
\(629\) 9.69249 1.01872i 0.386465 0.0406191i
\(630\) −9.59945 6.09716i −0.382451 0.242917i
\(631\) −0.658428 1.47885i −0.0262116 0.0588723i 0.899965 0.435962i \(-0.143592\pi\)
−0.926177 + 0.377089i \(0.876925\pi\)
\(632\) 1.58995 0.337954i 0.0632447 0.0134431i
\(633\) 0.0435666 0.591711i 0.00173162 0.0235184i
\(634\) −17.6258 7.84749i −0.700008 0.311664i
\(635\) 1.28875 + 3.96638i 0.0511426 + 0.157401i
\(636\) 9.74100 4.70668i 0.386256 0.186632i
\(637\) −17.4051 + 39.0925i −0.689616 + 1.54890i
\(638\) −6.98945 + 32.8828i −0.276715 + 1.30184i
\(639\) −0.346044 0.662541i −0.0136893 0.0262097i
\(640\) 0.913545 0.406737i 0.0361111 0.0160777i
\(641\) 25.2274 + 28.0179i 0.996424 + 1.10664i 0.994297 + 0.106643i \(0.0340102\pi\)
0.00212656 + 0.999998i \(0.499323\pi\)
\(642\) 25.4230 6.23931i 1.00336 0.246246i
\(643\) 3.04245 + 4.18757i 0.119982 + 0.165142i 0.864783 0.502145i \(-0.167456\pi\)
−0.744801 + 0.667287i \(0.767456\pi\)
\(644\) −2.58146 + 24.5610i −0.101724 + 0.967838i
\(645\) 8.58445 6.65614i 0.338012 0.262085i
\(646\) −18.4199 10.6347i −0.724719 0.418417i
\(647\) −0.412670 0.299822i −0.0162237 0.0117872i 0.579644 0.814870i \(-0.303192\pi\)
−0.595868 + 0.803083i \(0.703192\pi\)
\(648\) −8.83929 1.69321i −0.347240 0.0665157i
\(649\) 14.7912 + 4.80597i 0.580607 + 0.188651i
\(650\) 5.80670 0.227758
\(651\) 28.7985 + 22.5168i 1.12870 + 0.882501i
\(652\) 10.4855 0.410646
\(653\) 34.1949 + 11.1106i 1.33815 + 0.434792i 0.888690 0.458508i \(-0.151616\pi\)
0.449461 + 0.893300i \(0.351616\pi\)
\(654\) −4.17394 + 6.13924i −0.163214 + 0.240063i
\(655\) 7.52580 + 5.46781i 0.294057 + 0.213645i
\(656\) 5.80233 + 3.34997i 0.226543 + 0.130795i
\(657\) −11.6797 + 11.9178i −0.455669 + 0.464957i
\(658\) −4.31739 + 41.0773i −0.168310 + 1.60136i
\(659\) −10.8518 14.9362i −0.422726 0.581833i 0.543538 0.839384i \(-0.317084\pi\)
−0.966265 + 0.257552i \(0.917084\pi\)
\(660\) −1.58249 6.44806i −0.0615982 0.250991i
\(661\) 11.4718 + 12.7408i 0.446202 + 0.495558i 0.923722 0.383063i \(-0.125131\pi\)
−0.477520 + 0.878621i \(0.658464\pi\)
\(662\) −14.3605 + 6.39372i −0.558138 + 0.248499i
\(663\) −30.5068 + 10.9765i −1.18479 + 0.426292i
\(664\) 0.533873 2.51168i 0.0207183 0.0974720i
\(665\) −10.1730 + 22.8488i −0.394490 + 0.886039i
\(666\) −5.01629 7.55641i −0.194377 0.292805i
\(667\) −17.6559 54.3391i −0.683637 2.10402i
\(668\) 9.66856 + 4.30472i 0.374088 + 0.166555i
\(669\) −23.6748 1.74313i −0.915320 0.0673934i
\(670\) 4.72225 1.00375i 0.182437 0.0387781i
\(671\) −15.6485 35.1471i −0.604104 1.35684i
\(672\) 5.01404 + 4.23884i 0.193421 + 0.163517i
\(673\) 23.9167 2.51375i 0.921921 0.0968978i 0.368338 0.929692i \(-0.379927\pi\)
0.553583 + 0.832794i \(0.313260\pi\)
\(674\) 5.96328 4.33257i 0.229697 0.166884i
\(675\) −4.95927 + 1.55101i −0.190882 + 0.0596983i
\(676\) −10.3589 17.9421i −0.398419 0.690081i
\(677\) 22.5736 39.0987i 0.867576 1.50269i 0.00310893 0.999995i \(-0.499010\pi\)
0.864467 0.502690i \(-0.167656\pi\)
\(678\) −13.5592 + 25.2761i −0.520736 + 0.970722i
\(679\) −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 \(-0.237924\pi\)
\(684\) −0.836476 + 19.7764i −0.0319835 + 0.756169i
\(685\) 9.13763 + 8.22756i 0.349131 + 0.314359i
\(686\) −0.823147 + 1.13296i −0.0314279 + 0.0432568i
\(687\) −4.95257 + 12.1292i −0.188952 + 0.462760i
\(688\) −5.43132 + 3.13577i −0.207067 + 0.119550i
\(689\) −36.0703 3.79114i −1.37417 0.144431i
\(690\) 7.80874 + 8.14601i 0.297274 + 0.310113i
\(691\) 4.77507 + 45.4318i 0.181652 + 1.72831i 0.583080 + 0.812415i \(0.301848\pi\)
−0.401427 + 0.915891i \(0.631486\pi\)
\(692\) −16.3726 + 14.7420i −0.622395 + 0.560407i
\(693\) 33.5991 27.7739i 1.27633 1.05504i
\(694\) −6.82542 32.1111i −0.259089 1.21892i
\(695\) −21.1360 4.49260i −0.801735 0.170414i
\(696\) −14.5860 4.24065i −0.552880 0.160741i
\(697\) −20.5409 + 6.67414i −0.778042 + 0.252801i
\(698\) 9.21122 2.99291i 0.348650 0.113283i
\(699\) −2.83054 0.822936i −0.107061 0.0311263i
\(700\) 3.70787 + 0.788132i 0.140144 + 0.0297886i
\(701\) −3.26493 15.3603i −0.123315 0.580150i −0.995804 0.0915162i \(-0.970829\pi\)
0.872489 0.488634i \(-0.162505\pi\)
\(702\) 22.1981 + 20.4358i 0.837815 + 0.771300i
\(703\) −14.8240 + 13.3476i −0.559099 + 0.503415i
\(704\) 0.400685 + 3.81227i 0.0151014 + 0.143680i
\(705\) 13.0598 + 13.6239i 0.491861 + 0.513105i
\(706\) 13.1864 + 1.38595i 0.496276 + 0.0521607i
\(707\) 19.4227 11.2137i 0.730465 0.421734i
\(708\) −2.65646 + 6.50588i −0.0998358 + 0.244506i
\(709\) −8.45075 + 11.6315i −0.317375 + 0.436829i −0.937663 0.347545i \(-0.887015\pi\)
0.620289 + 0.784374i \(0.287015\pi\)
\(710\) 0.185159 + 0.166718i 0.00694888 + 0.00625680i
\(711\) 4.87204 + 0.206071i 0.182716 + 0.00772828i
\(712\) 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
\(717\) 1.79373 3.34374i 0.0669879 0.124874i
\(718\) 15.1945 26.3176i 0.567053 0.982164i
\(719\) −22.3610 38.7304i −0.833925 1.44440i −0.894902 0.446262i \(-0.852755\pi\)
0.0609770 0.998139i \(-0.480578\pi\)
\(720\) 2.95818 0.499172i 0.110245 0.0186030i
\(721\) −17.6468 + 12.8211i −0.657200 + 0.477484i
\(722\) 24.3995 2.56449i 0.908056 0.0954405i
\(723\) −11.1051 9.38819i −0.413003 0.349151i
\(724\) −8.48750 19.0632i −0.315435 0.708480i
\(725\) −8.57826 + 1.82337i −0.318589 + 0.0677181i
\(726\) 6.38081 + 0.469807i 0.236814 + 0.0174362i
\(727\) 21.7359 + 9.67744i 0.806140 + 0.358917i 0.768076 0.640359i \(-0.221214\pi\)
0.0380638 + 0.999275i \(0.487881\pi\)
\(728\) −6.80192 20.9342i −0.252096 0.775872i
\(729\) −24.4171 11.5241i −0.904336 0.426820i
\(730\) 2.26238 5.08138i 0.0837343 0.188070i
\(731\) 4.20335 19.7752i 0.155466 0.731412i
\(732\) 16.3575 5.88550i 0.604589 0.217534i
\(733\) −12.9441 + 5.76310i −0.478103 + 0.212865i −0.631616 0.775282i \(-0.717608\pi\)
0.153513 + 0.988147i \(0.450941\pi\)
\(734\) −3.88116 4.31047i −0.143256 0.159102i
\(735\) 3.04232 + 12.3964i 0.112218 + 0.457247i
\(736\) −3.82939 5.27071i −0.141153 0.194281i
\(737\) −1.93441 + 18.4047i −0.0712549 + 0.677945i
\(738\) 14.3554 + 14.0686i 0.528429 + 0.517874i
\(739\) −13.4084 7.74137i −0.493237 0.284771i 0.232679 0.972554i \(-0.425251\pi\)
−0.725917 + 0.687783i \(0.758584\pi\)
\(740\) 2.44589 + 1.77704i 0.0899127 + 0.0653254i
\(741\) 37.3102 54.8776i 1.37062 2.01598i
\(742\) −22.5181 7.31659i −0.826667 0.268600i
\(743\) 2.08743 0.0765803 0.0382901 0.999267i \(-0.487809\pi\)
0.0382901 + 0.999267i \(0.487809\pi\)
\(744\) −9.62040 + 0.669201i −0.352701 + 0.0245341i
\(745\) −7.32013 −0.268189
\(746\) 2.38299 + 0.774281i 0.0872475 + 0.0283484i
\(747\) 3.42783 6.89868i 0.125418 0.252410i
\(748\) −9.99697 7.26322i −0.365525 0.265570i
\(749\) −49.6154 28.6454i −1.81291 1.04668i
\(750\) 1.36879 1.06132i 0.0499812 0.0387541i
\(751\) −4.00682 + 38.1224i −0.146211 + 1.39110i 0.637726 + 0.770264i \(0.279875\pi\)
−0.783937 + 0.620841i \(0.786791\pi\)
\(752\) −6.40451 8.81505i −0.233548 0.321452i
\(753\) 14.0165 3.43993i 0.510790 0.125358i
\(754\) 34.0750 + 37.8441i 1.24094 + 1.37820i
\(755\) 13.0463 5.80860i 0.474804 0.211397i
\(756\) 11.4009 + 16.0622i 0.414647 + 0.584176i
\(757\) 11.0936 52.1913i 0.403204 1.89693i −0.0375447 0.999295i \(-0.511954\pi\)
0.440749 0.897631i \(-0.354713\pi\)
\(758\) −6.27993 + 14.1049i −0.228097 + 0.512315i
\(759\) −38.9473 + 18.8187i −1.41370 + 0.683074i
\(760\) −2.03890 6.27509i −0.0739587 0.227622i
\(761\) 4.22032 + 1.87901i 0.152987 + 0.0681140i 0.481802 0.876280i \(-0.339983\pi\)
−0.328815 + 0.944394i \(0.606649\pi\)
\(762\) 0.530418 7.20401i 0.0192150 0.260974i
\(763\) 15.8923 3.37801i 0.575340 0.122292i
\(764\) 1.21630 + 2.73185i 0.0440041 + 0.0988349i
\(765\) −5.18501 + 8.16335i −0.187465 + 0.295147i
\(766\) 15.3419 1.61250i 0.554325 0.0582620i
\(767\) 19.0597 13.8477i 0.688206 0.500011i
\(768\) −1.73121 + 0.0540730i −0.0624695 + 0.00195119i
\(769\) −21.8864 37.9083i −0.789242 1.36701i −0.926432 0.376463i \(-0.877140\pi\)
0.137190 0.990545i \(-0.456193\pi\)
\(770\) −7.26539 + 12.5840i −0.261826 + 0.453497i
\(771\) 16.4549 + 8.82708i 0.592607 + 0.317900i
\(772\) −17.9884 + 19.9781i −0.647416 + 0.719029i
\(773\) −8.40902 + 25.8803i −0.302451 + 0.930850i