Properties

Label 280.2.bj.f.131.2
Level $280$
Weight $2$
Character 280.131
Analytic conductor $2.236$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 280.bj (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.23581125660\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(12\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 131.2
Character \(\chi\) \(=\) 280.131
Dual form 280.2.bj.f.171.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.33674 - 0.461647i) q^{2} +(1.90624 - 1.10057i) q^{3} +(1.57376 + 1.23421i) q^{4} +(-0.500000 + 0.866025i) q^{5} +(-3.05623 + 0.591168i) q^{6} +(-0.584379 - 2.58041i) q^{7} +(-1.53395 - 2.37634i) q^{8} +(0.922503 - 1.59782i) q^{9} +O(q^{10})\) \(q+(-1.33674 - 0.461647i) q^{2} +(1.90624 - 1.10057i) q^{3} +(1.57376 + 1.23421i) q^{4} +(-0.500000 + 0.866025i) q^{5} +(-3.05623 + 0.591168i) q^{6} +(-0.584379 - 2.58041i) q^{7} +(-1.53395 - 2.37634i) q^{8} +(0.922503 - 1.59782i) q^{9} +(1.06817 - 0.926830i) q^{10} +(-2.90486 - 5.03137i) q^{11} +(4.35830 + 0.620657i) q^{12} +4.83332 q^{13} +(-0.410072 + 3.71912i) q^{14} +2.20114i q^{15} +(0.953472 + 3.88470i) q^{16} +(3.78236 - 2.18375i) q^{17} +(-1.97078 + 1.71001i) q^{18} +(1.63783 + 0.945600i) q^{19} +(-1.85574 + 0.745818i) q^{20} +(-3.95388 - 4.27573i) q^{21} +(1.56034 + 8.06667i) q^{22} +(0.157820 + 0.0911173i) q^{23} +(-5.53941 - 2.84166i) q^{24} +(-0.500000 - 0.866025i) q^{25} +(-6.46090 - 2.23128i) q^{26} +2.54230i q^{27} +(2.26508 - 4.78220i) q^{28} +4.38898i q^{29} +(1.01615 - 2.94236i) q^{30} +(-2.03983 - 3.53308i) q^{31} +(0.518810 - 5.63301i) q^{32} +(-11.0747 - 6.39400i) q^{33} +(-6.06416 + 1.17300i) q^{34} +(2.52689 + 0.784117i) q^{35} +(3.42385 - 1.37604i) q^{36} +(3.69132 + 2.13119i) q^{37} +(-1.75282 - 2.02012i) q^{38} +(9.21347 - 5.31940i) q^{39} +(2.82495 - 0.140272i) q^{40} +3.44314i q^{41} +(3.31145 + 7.54085i) q^{42} -2.10796 q^{43} +(1.63817 - 11.5034i) q^{44} +(0.922503 + 1.59782i) q^{45} +(-0.168901 - 0.194657i) q^{46} +(0.946816 - 1.63993i) q^{47} +(6.09293 + 6.35581i) q^{48} +(-6.31700 + 3.01587i) q^{49} +(0.268574 + 1.38848i) q^{50} +(4.80673 - 8.32550i) q^{51} +(7.60650 + 5.96531i) q^{52} +(-8.54212 + 4.93180i) q^{53} +(1.17364 - 3.39840i) q^{54} +5.80972 q^{55} +(-5.23551 + 5.34691i) q^{56} +4.16279 q^{57} +(2.02616 - 5.86693i) q^{58} +(-6.35546 + 3.66932i) q^{59} +(-2.71666 + 3.46407i) q^{60} +(-4.89522 + 8.47877i) q^{61} +(1.09569 + 5.66450i) q^{62} +(-4.66212 - 1.44670i) q^{63} +(-3.29398 + 7.29039i) q^{64} +(-2.41666 + 4.18577i) q^{65} +(11.8523 + 13.6597i) q^{66} +(6.04954 + 10.4781i) q^{67} +(8.64774 + 1.23151i) q^{68} +0.401124 q^{69} +(-3.01582 - 2.21469i) q^{70} -8.80669i q^{71} +(-5.21205 + 0.258804i) q^{72} +(7.34998 - 4.24351i) q^{73} +(-3.95049 - 4.55293i) q^{74} +(-1.90624 - 1.10057i) q^{75} +(1.41049 + 3.50957i) q^{76} +(-11.2854 + 10.4360i) q^{77} +(-14.7717 + 2.85730i) q^{78} +(10.5541 + 6.09342i) q^{79} +(-3.84098 - 1.11662i) q^{80} +(5.56549 + 9.63970i) q^{81} +(1.58952 - 4.60260i) q^{82} +16.9697i q^{83} +(-0.945352 - 11.6089i) q^{84} +4.36749i q^{85} +(2.81781 + 0.973134i) q^{86} +(4.83037 + 8.36645i) q^{87} +(-7.50032 + 14.6208i) q^{88} +(-5.11692 - 2.95425i) q^{89} +(-0.495521 - 2.56175i) q^{90} +(-2.82449 - 12.4719i) q^{91} +(0.135914 + 0.338179i) q^{92} +(-7.77680 - 4.48994i) q^{93} +(-2.02272 + 1.75507i) q^{94} +(-1.63783 + 0.945600i) q^{95} +(-5.21054 - 11.3089i) q^{96} -13.2388i q^{97} +(9.83648 - 1.11522i) q^{98} -10.7190 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q + 3q^{2} + 12q^{3} + q^{4} - 12q^{5} - 2q^{6} + 10q^{7} - 6q^{8} + 12q^{9} + O(q^{10}) \) \( 24q + 3q^{2} + 12q^{3} + q^{4} - 12q^{5} - 2q^{6} + 10q^{7} - 6q^{8} + 12q^{9} - 3q^{10} + 8q^{11} + 10q^{12} + 20q^{13} + 5q^{14} - 3q^{16} + 6q^{17} + 3q^{18} + 18q^{19} - 2q^{20} - 26q^{21} - 16q^{22} + 18q^{23} - 18q^{24} - 12q^{25} - 37q^{26} - 41q^{28} - 8q^{30} - 6q^{31} + 3q^{32} + 12q^{33} - 20q^{34} - 8q^{35} - 22q^{36} + 15q^{38} - 18q^{39} + 3q^{40} - 12q^{42} + 32q^{43} + 35q^{44} + 12q^{45} - 49q^{46} - 14q^{48} + 8q^{49} - 22q^{51} - 41q^{52} + 30q^{53} + 104q^{54} - 16q^{55} + 44q^{56} - 44q^{57} - 54q^{58} - 18q^{59} - 8q^{60} + 22q^{61} + 8q^{62} - 12q^{63} + 58q^{64} - 10q^{65} + 8q^{66} - 8q^{67} + 18q^{68} - 12q^{69} - q^{70} - 17q^{72} + 30q^{73} + 53q^{74} - 12q^{75} + 8q^{76} - 32q^{77} - 8q^{78} + 6q^{79} - 3q^{80} - 4q^{81} - 57q^{82} + 42q^{86} + 14q^{87} - 17q^{88} - 60q^{89} + 24q^{90} + 18q^{91} - 38q^{92} - 18q^{93} + 19q^{94} - 18q^{95} - 74q^{96} + 3q^{98} - 56q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(1\) \(-1\) \(-1\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.33674 0.461647i −0.945220 0.326433i
\(3\) 1.90624 1.10057i 1.10057 0.635414i 0.164198 0.986427i \(-0.447496\pi\)
0.936370 + 0.351014i \(0.114163\pi\)
\(4\) 1.57376 + 1.23421i 0.786882 + 0.617103i
\(5\) −0.500000 + 0.866025i −0.223607 + 0.387298i
\(6\) −3.05623 + 0.591168i −1.24770 + 0.241343i
\(7\) −0.584379 2.58041i −0.220874 0.975302i
\(8\) −1.53395 2.37634i −0.542334 0.840163i
\(9\) 0.922503 1.59782i 0.307501 0.532608i
\(10\) 1.06817 0.926830i 0.337785 0.293089i
\(11\) −2.90486 5.03137i −0.875849 1.51701i −0.855856 0.517214i \(-0.826969\pi\)
−0.0199929 0.999800i \(-0.506364\pi\)
\(12\) 4.35830 + 0.620657i 1.25813 + 0.179168i
\(13\) 4.83332 1.34052 0.670260 0.742126i \(-0.266182\pi\)
0.670260 + 0.742126i \(0.266182\pi\)
\(14\) −0.410072 + 3.71912i −0.109596 + 0.993976i
\(15\) 2.20114i 0.568331i
\(16\) 0.953472 + 3.88470i 0.238368 + 0.971175i
\(17\) 3.78236 2.18375i 0.917357 0.529636i 0.0345662 0.999402i \(-0.488995\pi\)
0.882791 + 0.469766i \(0.155662\pi\)
\(18\) −1.97078 + 1.71001i −0.464517 + 0.403053i
\(19\) 1.63783 + 0.945600i 0.375743 + 0.216936i 0.675965 0.736934i \(-0.263727\pi\)
−0.300221 + 0.953870i \(0.597061\pi\)
\(20\) −1.85574 + 0.745818i −0.414955 + 0.166770i
\(21\) −3.95388 4.27573i −0.862808 0.933041i
\(22\) 1.56034 + 8.06667i 0.332666 + 1.71982i
\(23\) 0.157820 + 0.0911173i 0.0329077 + 0.0189993i 0.516364 0.856369i \(-0.327285\pi\)
−0.483456 + 0.875369i \(0.660619\pi\)
\(24\) −5.53941 2.84166i −1.13073 0.580050i
\(25\) −0.500000 0.866025i −0.100000 0.173205i
\(26\) −6.46090 2.23128i −1.26709 0.437591i
\(27\) 2.54230i 0.489266i
\(28\) 2.26508 4.78220i 0.428060 0.903750i
\(29\) 4.38898i 0.815013i 0.913202 + 0.407506i \(0.133602\pi\)
−0.913202 + 0.407506i \(0.866398\pi\)
\(30\) 1.01615 2.94236i 0.185522 0.537198i
\(31\) −2.03983 3.53308i −0.366364 0.634560i 0.622630 0.782516i \(-0.286064\pi\)
−0.988994 + 0.147956i \(0.952731\pi\)
\(32\) 0.518810 5.63301i 0.0917136 0.995785i
\(33\) −11.0747 6.39400i −1.92786 1.11305i
\(34\) −6.06416 + 1.17300i −1.04000 + 0.201167i
\(35\) 2.52689 + 0.784117i 0.427122 + 0.132540i
\(36\) 3.42385 1.37604i 0.570641 0.229340i
\(37\) 3.69132 + 2.13119i 0.606849 + 0.350365i 0.771731 0.635949i \(-0.219391\pi\)
−0.164882 + 0.986313i \(0.552724\pi\)
\(38\) −1.75282 2.02012i −0.284345 0.327707i
\(39\) 9.21347 5.31940i 1.47534 0.851785i
\(40\) 2.82495 0.140272i 0.446663 0.0221790i
\(41\) 3.44314i 0.537729i 0.963178 + 0.268864i \(0.0866483\pi\)
−0.963178 + 0.268864i \(0.913352\pi\)
\(42\) 3.31145 + 7.54085i 0.510968 + 1.16358i
\(43\) −2.10796 −0.321461 −0.160731 0.986998i \(-0.551385\pi\)
−0.160731 + 0.986998i \(0.551385\pi\)
\(44\) 1.63817 11.5034i 0.246964 1.73420i
\(45\) 0.922503 + 1.59782i 0.137519 + 0.238189i
\(46\) −0.168901 0.194657i −0.0249030 0.0287007i
\(47\) 0.946816 1.63993i 0.138107 0.239209i −0.788673 0.614813i \(-0.789231\pi\)
0.926780 + 0.375604i \(0.122565\pi\)
\(48\) 6.09293 + 6.35581i 0.879438 + 0.917382i
\(49\) −6.31700 + 3.01587i −0.902429 + 0.430839i
\(50\) 0.268574 + 1.38848i 0.0379821 + 0.196360i
\(51\) 4.80673 8.32550i 0.673076 1.16580i
\(52\) 7.60650 + 5.96531i 1.05483 + 0.827239i
\(53\) −8.54212 + 4.93180i −1.17335 + 0.677434i −0.954467 0.298317i \(-0.903575\pi\)
−0.218884 + 0.975751i \(0.570242\pi\)
\(54\) 1.17364 3.39840i 0.159713 0.462464i
\(55\) 5.80972 0.783383
\(56\) −5.23551 + 5.34691i −0.699625 + 0.714510i
\(57\) 4.16279 0.551375
\(58\) 2.02616 5.86693i 0.266047 0.770366i
\(59\) −6.35546 + 3.66932i −0.827410 + 0.477705i −0.852965 0.521968i \(-0.825198\pi\)
0.0255550 + 0.999673i \(0.491865\pi\)
\(60\) −2.71666 + 3.46407i −0.350719 + 0.447210i
\(61\) −4.89522 + 8.47877i −0.626769 + 1.08560i 0.361427 + 0.932400i \(0.382290\pi\)
−0.988196 + 0.153195i \(0.951044\pi\)
\(62\) 1.09569 + 5.66450i 0.139153 + 0.719393i
\(63\) −4.66212 1.44670i −0.587373 0.182267i
\(64\) −3.29398 + 7.29039i −0.411747 + 0.911298i
\(65\) −2.41666 + 4.18577i −0.299750 + 0.519181i
\(66\) 11.8523 + 13.6597i 1.45892 + 1.68140i
\(67\) 6.04954 + 10.4781i 0.739069 + 1.28011i 0.952915 + 0.303238i \(0.0980678\pi\)
−0.213845 + 0.976868i \(0.568599\pi\)
\(68\) 8.64774 + 1.23151i 1.04869 + 0.149342i
\(69\) 0.401124 0.0482896
\(70\) −3.01582 2.21469i −0.360459 0.264706i
\(71\) 8.80669i 1.04516i −0.852590 0.522581i \(-0.824969\pi\)
0.852590 0.522581i \(-0.175031\pi\)
\(72\) −5.21205 + 0.258804i −0.614246 + 0.0305003i
\(73\) 7.34998 4.24351i 0.860250 0.496666i −0.00384586 0.999993i \(-0.501224\pi\)
0.864096 + 0.503327i \(0.167891\pi\)
\(74\) −3.95049 4.55293i −0.459236 0.529268i
\(75\) −1.90624 1.10057i −0.220114 0.127083i
\(76\) 1.41049 + 3.50957i 0.161794 + 0.402575i
\(77\) −11.2854 + 10.4360i −1.28610 + 1.18929i
\(78\) −14.7717 + 2.85730i −1.67257 + 0.323526i
\(79\) 10.5541 + 6.09342i 1.18743 + 0.685563i 0.957722 0.287696i \(-0.0928894\pi\)
0.229708 + 0.973259i \(0.426223\pi\)
\(80\) −3.84098 1.11662i −0.429435 0.124842i
\(81\) 5.56549 + 9.63970i 0.618387 + 1.07108i
\(82\) 1.58952 4.60260i 0.175533 0.508272i
\(83\) 16.9697i 1.86267i 0.364163 + 0.931335i \(0.381355\pi\)
−0.364163 + 0.931335i \(0.618645\pi\)
\(84\) −0.945352 11.6089i −0.103146 1.26663i
\(85\) 4.36749i 0.473721i
\(86\) 2.81781 + 0.973134i 0.303852 + 0.104936i
\(87\) 4.83037 + 8.36645i 0.517870 + 0.896977i
\(88\) −7.50032 + 14.6208i −0.799536 + 1.55858i
\(89\) −5.11692 2.95425i −0.542392 0.313150i 0.203656 0.979043i \(-0.434718\pi\)
−0.746048 + 0.665892i \(0.768051\pi\)
\(90\) −0.495521 2.56175i −0.0522325 0.270032i
\(91\) −2.82449 12.4719i −0.296087 1.30741i
\(92\) 0.135914 + 0.338179i 0.0141700 + 0.0352576i
\(93\) −7.77680 4.48994i −0.806417 0.465585i
\(94\) −2.02272 + 1.75507i −0.208627 + 0.181022i
\(95\) −1.63783 + 0.945600i −0.168038 + 0.0970165i
\(96\) −5.21054 11.3089i −0.531799 1.15421i
\(97\) 13.2388i 1.34420i −0.740461 0.672100i \(-0.765393\pi\)
0.740461 0.672100i \(-0.234607\pi\)
\(98\) 9.83648 1.11522i 0.993634 0.112654i
\(99\) −10.7190 −1.07730
\(100\) 0.281971 1.98002i 0.0281971 0.198002i
\(101\) −1.23442 2.13807i −0.122829 0.212746i 0.798053 0.602587i \(-0.205863\pi\)
−0.920882 + 0.389841i \(0.872530\pi\)
\(102\) −10.2688 + 8.91004i −1.01676 + 0.882226i
\(103\) 0.920346 1.59409i 0.0906844 0.157070i −0.817115 0.576475i \(-0.804428\pi\)
0.907799 + 0.419405i \(0.137761\pi\)
\(104\) −7.41408 11.4856i −0.727010 1.12626i
\(105\) 5.67983 1.28630i 0.554295 0.125530i
\(106\) 13.6954 2.64910i 1.33021 0.257304i
\(107\) 9.08674 15.7387i 0.878448 1.52152i 0.0254044 0.999677i \(-0.491913\pi\)
0.853044 0.521839i \(-0.174754\pi\)
\(108\) −3.13772 + 4.00098i −0.301927 + 0.384995i
\(109\) 3.40525 1.96602i 0.326164 0.188311i −0.327973 0.944687i \(-0.606365\pi\)
0.654137 + 0.756376i \(0.273032\pi\)
\(110\) −7.76611 2.68204i −0.740469 0.255722i
\(111\) 9.38206 0.890506
\(112\) 9.46692 4.73048i 0.894540 0.446989i
\(113\) 7.16641 0.674159 0.337079 0.941476i \(-0.390561\pi\)
0.337079 + 0.941476i \(0.390561\pi\)
\(114\) −5.56458 1.92174i −0.521171 0.179987i
\(115\) −0.157820 + 0.0911173i −0.0147168 + 0.00849673i
\(116\) −5.41690 + 6.90722i −0.502947 + 0.641319i
\(117\) 4.45875 7.72278i 0.412212 0.713972i
\(118\) 10.1895 1.97097i 0.938024 0.181443i
\(119\) −7.84529 8.48390i −0.719176 0.777717i
\(120\) 5.23065 3.37644i 0.477491 0.308226i
\(121\) −11.3764 + 19.7046i −1.03422 + 1.79133i
\(122\) 10.4578 9.07408i 0.946809 0.821528i
\(123\) 3.78942 + 6.56346i 0.341680 + 0.591808i
\(124\) 1.15034 8.07781i 0.103304 0.725409i
\(125\) 1.00000 0.0894427
\(126\) 5.56420 + 4.08612i 0.495698 + 0.364021i
\(127\) 2.88206i 0.255742i −0.991791 0.127871i \(-0.959186\pi\)
0.991791 0.127871i \(-0.0408143\pi\)
\(128\) 7.76878 8.22472i 0.686670 0.726969i
\(129\) −4.01829 + 2.31996i −0.353790 + 0.204261i
\(130\) 5.16280 4.47966i 0.452808 0.392893i
\(131\) 6.92953 + 4.00076i 0.605436 + 0.349548i 0.771177 0.636621i \(-0.219668\pi\)
−0.165741 + 0.986169i \(0.553002\pi\)
\(132\) −9.53752 23.7312i −0.830134 2.06553i
\(133\) 1.48292 4.77885i 0.128586 0.414379i
\(134\) −3.24950 16.7993i −0.280714 1.45124i
\(135\) −2.20170 1.27115i −0.189492 0.109403i
\(136\) −10.9913 5.63841i −0.942495 0.483489i
\(137\) 5.09925 + 8.83216i 0.435658 + 0.754582i 0.997349 0.0727651i \(-0.0231823\pi\)
−0.561691 + 0.827347i \(0.689849\pi\)
\(138\) −0.536199 0.185177i −0.0456443 0.0157633i
\(139\) 9.93769i 0.842904i 0.906851 + 0.421452i \(0.138479\pi\)
−0.906851 + 0.421452i \(0.861521\pi\)
\(140\) 3.00897 + 4.35271i 0.254304 + 0.367872i
\(141\) 4.16814i 0.351021i
\(142\) −4.06558 + 11.7723i −0.341176 + 0.987908i
\(143\) −14.0401 24.3182i −1.17409 2.03359i
\(144\) 7.08664 + 2.06017i 0.590554 + 0.171681i
\(145\) −3.80097 2.19449i −0.315653 0.182242i
\(146\) −11.7840 + 2.27939i −0.975254 + 0.188644i
\(147\) −8.72256 + 12.7013i −0.719424 + 1.04758i
\(148\) 3.17895 + 7.90983i 0.261308 + 0.650184i
\(149\) 13.6559 + 7.88422i 1.11873 + 0.645900i 0.941077 0.338192i \(-0.109815\pi\)
0.177655 + 0.984093i \(0.443149\pi\)
\(150\) 2.04008 + 2.35119i 0.166572 + 0.191974i
\(151\) −5.24155 + 3.02621i −0.426552 + 0.246270i −0.697877 0.716218i \(-0.745872\pi\)
0.271325 + 0.962488i \(0.412538\pi\)
\(152\) −0.265283 5.34254i −0.0215173 0.433337i
\(153\) 8.05806i 0.651455i
\(154\) 19.9035 8.74030i 1.60387 0.704314i
\(155\) 4.07965 0.327686
\(156\) 21.0651 + 2.99983i 1.68655 + 0.240179i
\(157\) −10.2074 17.6798i −0.814641 1.41100i −0.909585 0.415518i \(-0.863600\pi\)
0.0949439 0.995483i \(-0.469733\pi\)
\(158\) −11.2951 13.0176i −0.898592 1.03562i
\(159\) −10.8556 + 18.8024i −0.860902 + 1.49113i
\(160\) 4.61893 + 3.26581i 0.365158 + 0.258185i
\(161\) 0.142893 0.460486i 0.0112616 0.0362914i
\(162\) −2.98949 15.4551i −0.234876 1.21427i
\(163\) 1.91267 3.31285i 0.149812 0.259482i −0.781346 0.624098i \(-0.785466\pi\)
0.931158 + 0.364616i \(0.118800\pi\)
\(164\) −4.24955 + 5.41870i −0.331834 + 0.423129i
\(165\) 11.0747 6.39400i 0.862167 0.497772i
\(166\) 7.83402 22.6842i 0.608038 1.76063i
\(167\) −21.6531 −1.67556 −0.837782 0.546005i \(-0.816148\pi\)
−0.837782 + 0.546005i \(0.816148\pi\)
\(168\) −4.09551 + 15.9545i −0.315976 + 1.23092i
\(169\) 10.3609 0.796996
\(170\) 2.01624 5.83822i 0.154638 0.447771i
\(171\) 3.02180 1.74464i 0.231083 0.133416i
\(172\) −3.31744 2.60166i −0.252952 0.198375i
\(173\) 5.20160 9.00944i 0.395470 0.684975i −0.597691 0.801727i \(-0.703915\pi\)
0.993161 + 0.116752i \(0.0372483\pi\)
\(174\) −2.59462 13.4137i −0.196698 1.01689i
\(175\) −1.94251 + 1.79629i −0.146840 + 0.135787i
\(176\) 16.7756 16.0818i 1.26451 1.21221i
\(177\) −8.07669 + 13.9892i −0.607081 + 1.05150i
\(178\) 5.47618 + 6.31128i 0.410457 + 0.473051i
\(179\) 3.80514 + 6.59069i 0.284409 + 0.492611i 0.972466 0.233046i \(-0.0748692\pi\)
−0.688056 + 0.725657i \(0.741536\pi\)
\(180\) −0.520239 + 3.65316i −0.0387763 + 0.272290i
\(181\) −11.2225 −0.834160 −0.417080 0.908870i \(-0.636946\pi\)
−0.417080 + 0.908870i \(0.636946\pi\)
\(182\) −1.98201 + 17.9757i −0.146916 + 1.33245i
\(183\) 21.5501i 1.59303i
\(184\) −0.0255625 0.514803i −0.00188449 0.0379518i
\(185\) −3.69132 + 2.13119i −0.271391 + 0.156688i
\(186\) 8.32282 + 9.59203i 0.610259 + 0.703322i
\(187\) −21.9745 12.6870i −1.60693 0.927763i
\(188\) 3.51408 1.41230i 0.256291 0.103003i
\(189\) 6.56017 1.48567i 0.477182 0.108066i
\(190\) 2.62589 0.507927i 0.190502 0.0368489i
\(191\) 6.68571 + 3.86000i 0.483761 + 0.279300i 0.721983 0.691911i \(-0.243231\pi\)
−0.238222 + 0.971211i \(0.576564\pi\)
\(192\) 1.74446 + 17.5225i 0.125895 + 1.26458i
\(193\) −11.7011 20.2669i −0.842265 1.45885i −0.887975 0.459892i \(-0.847888\pi\)
0.0457097 0.998955i \(-0.485445\pi\)
\(194\) −6.11166 + 17.6969i −0.438791 + 1.27056i
\(195\) 10.6388i 0.761860i
\(196\) −13.6637 3.05021i −0.975977 0.217872i
\(197\) 20.4272i 1.45538i 0.685907 + 0.727689i \(0.259406\pi\)
−0.685907 + 0.727689i \(0.740594\pi\)
\(198\) 14.3285 + 4.94838i 1.01828 + 0.351666i
\(199\) 1.10091 + 1.90683i 0.0780413 + 0.135172i 0.902405 0.430889i \(-0.141800\pi\)
−0.824363 + 0.566061i \(0.808467\pi\)
\(200\) −1.29099 + 2.51661i −0.0912870 + 0.177951i
\(201\) 23.0638 + 13.3159i 1.62679 + 0.939230i
\(202\) 0.663064 + 3.42792i 0.0466530 + 0.241187i
\(203\) 11.3253 2.56482i 0.794884 0.180015i
\(204\) 17.8400 7.16988i 1.24905 0.501992i
\(205\) −2.98185 1.72157i −0.208261 0.120240i
\(206\) −1.96617 + 1.70601i −0.136990 + 0.118863i
\(207\) 0.291179 0.168112i 0.0202383 0.0116846i
\(208\) 4.60843 + 18.7760i 0.319537 + 1.30188i
\(209\) 10.9874i 0.760011i
\(210\) −8.18629 0.902624i −0.564908 0.0622870i
\(211\) −28.9363 −1.99206 −0.996028 0.0890425i \(-0.971619\pi\)
−0.996028 + 0.0890425i \(0.971619\pi\)
\(212\) −19.5301 2.78125i −1.34134 0.191017i
\(213\) −9.69236 16.7877i −0.664110 1.15027i
\(214\) −19.4123 + 16.8437i −1.32700 + 1.15141i
\(215\) 1.05398 1.82555i 0.0718810 0.124501i
\(216\) 6.04136 3.89977i 0.411063 0.265346i
\(217\) −7.92476 + 7.32824i −0.537968 + 0.497473i
\(218\) −5.45955 + 1.05605i −0.369768 + 0.0715244i
\(219\) 9.34056 16.1783i 0.631176 1.09323i
\(220\) 9.14314 + 7.17039i 0.616430 + 0.483428i
\(221\) 18.2813 10.5547i 1.22974 0.709989i
\(222\) −12.5414 4.33120i −0.841724 0.290691i
\(223\) −11.0535 −0.740200 −0.370100 0.928992i \(-0.620677\pi\)
−0.370100 + 0.928992i \(0.620677\pi\)
\(224\) −14.8386 + 1.95307i −0.991449 + 0.130495i
\(225\) −1.84501 −0.123000
\(226\) −9.57964 3.30835i −0.637229 0.220068i
\(227\) 7.11916 4.11025i 0.472515 0.272807i −0.244777 0.969579i \(-0.578715\pi\)
0.717292 + 0.696773i \(0.245381\pi\)
\(228\) 6.55126 + 5.13774i 0.433868 + 0.340255i
\(229\) 5.03725 8.72478i 0.332871 0.576549i −0.650203 0.759761i \(-0.725316\pi\)
0.983074 + 0.183211i \(0.0586493\pi\)
\(230\) 0.253029 0.0489435i 0.0166842 0.00322724i
\(231\) −10.0273 + 32.3138i −0.659747 + 2.12609i
\(232\) 10.4297 6.73248i 0.684743 0.442009i
\(233\) 3.68557 6.38359i 0.241450 0.418203i −0.719678 0.694308i \(-0.755711\pi\)
0.961127 + 0.276105i \(0.0890438\pi\)
\(234\) −9.52540 + 8.26501i −0.622695 + 0.540301i
\(235\) 0.946816 + 1.63993i 0.0617634 + 0.106977i
\(236\) −14.5307 2.06929i −0.945868 0.134699i
\(237\) 26.8249 1.74246
\(238\) 6.57057 + 14.9625i 0.425907 + 0.969877i
\(239\) 20.9534i 1.35536i 0.735355 + 0.677682i \(0.237016\pi\)
−0.735355 + 0.677682i \(0.762984\pi\)
\(240\) −8.55076 + 2.09872i −0.551949 + 0.135472i
\(241\) −2.42132 + 1.39795i −0.155971 + 0.0900498i −0.575954 0.817482i \(-0.695369\pi\)
0.419983 + 0.907532i \(0.362036\pi\)
\(242\) 24.3039 21.0881i 1.56232 1.35559i
\(243\) 14.6132 + 8.43695i 0.937439 + 0.541231i
\(244\) −18.1685 + 7.30188i −1.16312 + 0.467455i
\(245\) 0.546681 6.97862i 0.0349262 0.445848i
\(246\) −2.03548 10.5230i −0.129777 0.670924i
\(247\) 7.91614 + 4.57039i 0.503692 + 0.290807i
\(248\) −5.26681 + 10.2669i −0.334443 + 0.651949i
\(249\) 18.6764 + 32.3484i 1.18357 + 2.05000i
\(250\) −1.33674 0.461647i −0.0845431 0.0291971i
\(251\) 18.7656i 1.18448i −0.805763 0.592238i \(-0.798244\pi\)
0.805763 0.592238i \(-0.201756\pi\)
\(252\) −5.55156 8.03079i −0.349716 0.505892i
\(253\) 1.05873i 0.0665620i
\(254\) −1.33050 + 3.85258i −0.0834827 + 0.241732i
\(255\) 4.80673 + 8.32550i 0.301009 + 0.521363i
\(256\) −14.1818 + 7.40791i −0.886361 + 0.462994i
\(257\) −6.76564 3.90615i −0.422029 0.243659i 0.273916 0.961754i \(-0.411681\pi\)
−0.695945 + 0.718095i \(0.745014\pi\)
\(258\) 6.44242 1.24616i 0.401088 0.0775826i
\(259\) 3.34220 10.7705i 0.207674 0.669248i
\(260\) −8.96936 + 3.60477i −0.556256 + 0.223558i
\(261\) 7.01281 + 4.04885i 0.434082 + 0.250617i
\(262\) −7.41606 8.54699i −0.458166 0.528035i
\(263\) 5.03985 2.90976i 0.310770 0.179423i −0.336501 0.941683i \(-0.609243\pi\)
0.647271 + 0.762260i \(0.275910\pi\)
\(264\) 1.79380 + 36.1254i 0.110401 + 2.22337i
\(265\) 9.86359i 0.605916i
\(266\) −4.18843 + 5.70351i −0.256809 + 0.349705i
\(267\) −13.0054 −0.795920
\(268\) −3.41159 + 23.9565i −0.208396 + 1.46337i
\(269\) 12.0950 + 20.9492i 0.737445 + 1.27729i 0.953642 + 0.300943i \(0.0973012\pi\)
−0.216197 + 0.976350i \(0.569365\pi\)
\(270\) 2.35628 + 2.71561i 0.143399 + 0.165266i
\(271\) 7.83742 13.5748i 0.476089 0.824611i −0.523536 0.852004i \(-0.675387\pi\)
0.999625 + 0.0273932i \(0.00872061\pi\)
\(272\) 12.0896 + 12.6112i 0.733038 + 0.764666i
\(273\) −19.1104 20.6660i −1.15661 1.25076i
\(274\) −2.73905 14.1604i −0.165472 0.855460i
\(275\) −2.90486 + 5.03137i −0.175170 + 0.303403i
\(276\) 0.631274 + 0.495069i 0.0379982 + 0.0297996i
\(277\) 12.6984 7.33142i 0.762972 0.440502i −0.0673898 0.997727i \(-0.521467\pi\)
0.830362 + 0.557225i \(0.188134\pi\)
\(278\) 4.58770 13.2841i 0.275152 0.796729i
\(279\) −7.52699 −0.450629
\(280\) −2.01280 7.20754i −0.120288 0.430733i
\(281\) 15.0418 0.897320 0.448660 0.893703i \(-0.351901\pi\)
0.448660 + 0.893703i \(0.351901\pi\)
\(282\) −1.92421 + 5.57174i −0.114585 + 0.331792i
\(283\) 4.29409 2.47919i 0.255257 0.147373i −0.366912 0.930256i \(-0.619585\pi\)
0.622169 + 0.782883i \(0.286252\pi\)
\(284\) 10.8693 13.8597i 0.644972 0.822419i
\(285\) −2.08140 + 3.60508i −0.123291 + 0.213547i
\(286\) 7.54162 + 38.9888i 0.445945 + 2.30545i
\(287\) 8.88471 2.01210i 0.524448 0.118771i
\(288\) −8.52195 6.02544i −0.502161 0.355053i
\(289\) 1.03750 1.79700i 0.0610294 0.105706i
\(290\) 4.06784 + 4.68817i 0.238872 + 0.275299i
\(291\) −14.5702 25.2364i −0.854123 1.47938i
\(292\) 16.8045 + 2.39310i 0.983410 + 0.140045i
\(293\) 2.56812 0.150031 0.0750156 0.997182i \(-0.476099\pi\)
0.0750156 + 0.997182i \(0.476099\pi\)
\(294\) 17.5233 12.9516i 1.02198 0.755353i
\(295\) 7.33865i 0.427273i
\(296\) −0.597893 12.0410i −0.0347518 0.699867i
\(297\) 12.7912 7.38503i 0.742223 0.428523i
\(298\) −14.6147 16.8434i −0.846605 0.975710i
\(299\) 0.762793 + 0.440399i 0.0441135 + 0.0254689i
\(300\) −1.64165 4.08473i −0.0947805 0.235832i
\(301\) 1.23185 + 5.43941i 0.0710026 + 0.313522i
\(302\) 8.40365 1.62552i 0.483576 0.0935384i
\(303\) −4.70619 2.71712i −0.270363 0.156094i
\(304\) −2.11175 + 7.26407i −0.121117 + 0.416623i
\(305\) −4.89522 8.47877i −0.280299 0.485493i
\(306\) −3.71997 + 10.7716i −0.212657 + 0.615769i
\(307\) 14.4425i 0.824280i −0.911121 0.412140i \(-0.864781\pi\)
0.911121 0.412140i \(-0.135219\pi\)
\(308\) −30.6407 + 2.49518i −1.74592 + 0.142176i
\(309\) 4.05162i 0.230488i
\(310\) −5.45345 1.88336i −0.309735 0.106968i
\(311\) −8.26712 14.3191i −0.468785 0.811960i 0.530578 0.847636i \(-0.321975\pi\)
−0.999363 + 0.0356762i \(0.988641\pi\)
\(312\) −26.7737 13.7346i −1.51576 0.777570i
\(313\) 2.19818 + 1.26912i 0.124248 + 0.0717348i 0.560836 0.827927i \(-0.310480\pi\)
−0.436588 + 0.899662i \(0.643813\pi\)
\(314\) 5.48290 + 28.3456i 0.309418 + 1.59963i
\(315\) 3.58394 3.31417i 0.201932 0.186732i
\(316\) 9.08916 + 22.6156i 0.511305 + 1.27222i
\(317\) −14.8432 8.56971i −0.833676 0.481323i 0.0214339 0.999770i \(-0.493177\pi\)
−0.855109 + 0.518447i \(0.826510\pi\)
\(318\) 23.1912 20.1225i 1.30050 1.12842i
\(319\) 22.0826 12.7494i 1.23639 0.713828i
\(320\) −4.66667 6.49786i −0.260875 0.363241i
\(321\) 40.0023i 2.23271i
\(322\) −0.403594 + 0.549586i −0.0224914 + 0.0306272i
\(323\) 8.25981 0.459588
\(324\) −3.13861 + 22.0396i −0.174367 + 1.22442i
\(325\) −2.41666 4.18577i −0.134052 0.232185i
\(326\) −4.08612 + 3.54545i −0.226309 + 0.196364i
\(327\) 4.32749 7.49543i 0.239311 0.414498i
\(328\) 8.18208 5.28162i 0.451780 0.291629i
\(329\) −4.78499 1.48483i −0.263805 0.0818612i
\(330\) −17.7558 + 3.43452i −0.977427 + 0.189064i
\(331\) −11.9027 + 20.6161i −0.654233 + 1.13317i 0.327852 + 0.944729i \(0.393675\pi\)
−0.982085 + 0.188436i \(0.939658\pi\)
\(332\) −20.9441 + 26.7064i −1.14946 + 1.46570i
\(333\) 6.81051 3.93205i 0.373214 0.215475i
\(334\) 28.9446 + 9.99606i 1.58378 + 0.546960i
\(335\) −12.0991 −0.661044
\(336\) 12.8400 19.4364i 0.700480 1.06034i
\(337\) 1.22715 0.0668470 0.0334235 0.999441i \(-0.489359\pi\)
0.0334235 + 0.999441i \(0.489359\pi\)
\(338\) −13.8499 4.78310i −0.753337 0.260166i
\(339\) 13.6609 7.88712i 0.741958 0.428370i
\(340\) −5.39039 + 6.87341i −0.292335 + 0.372763i
\(341\) −11.8508 + 20.5262i −0.641758 + 1.11156i
\(342\) −4.84478 + 0.937129i −0.261976 + 0.0506741i
\(343\) 11.4737 + 14.5380i 0.619521 + 0.784980i
\(344\) 3.23352 + 5.00924i 0.174340 + 0.270080i
\(345\) −0.200562 + 0.347383i −0.0107979 + 0.0187025i
\(346\) −11.1124 + 9.64200i −0.597405 + 0.518357i
\(347\) −15.4834 26.8181i −0.831194 1.43967i −0.897092 0.441844i \(-0.854325\pi\)
0.0658983 0.997826i \(-0.479009\pi\)
\(348\) −2.72405 + 19.1285i −0.146024 + 1.02539i
\(349\) −26.6776 −1.42802 −0.714010 0.700136i \(-0.753123\pi\)
−0.714010 + 0.700136i \(0.753123\pi\)
\(350\) 3.42589 1.50443i 0.183121 0.0804150i
\(351\) 12.2877i 0.655871i
\(352\) −29.8488 + 13.7528i −1.59095 + 0.733027i
\(353\) −12.1501 + 7.01487i −0.646685 + 0.373364i −0.787185 0.616717i \(-0.788462\pi\)
0.140500 + 0.990081i \(0.455129\pi\)
\(354\) 17.2545 14.9714i 0.917069 0.795723i
\(355\) 7.62681 + 4.40334i 0.404789 + 0.233705i
\(356\) −4.40667 10.9646i −0.233553 0.581124i
\(357\) −24.2921 7.53807i −1.28568 0.398957i
\(358\) −2.04392 10.5667i −0.108025 0.558467i
\(359\) 10.5164 + 6.07165i 0.555035 + 0.320450i 0.751150 0.660131i \(-0.229499\pi\)
−0.196115 + 0.980581i \(0.562833\pi\)
\(360\) 2.38189 4.64317i 0.125537 0.244716i
\(361\) −7.71168 13.3570i −0.405878 0.703001i
\(362\) 15.0016 + 5.18081i 0.788465 + 0.272298i
\(363\) 50.0822i 2.62864i
\(364\) 10.9478 23.1139i 0.573823 1.21150i
\(365\) 8.48703i 0.444231i
\(366\) 9.94853 28.8070i 0.520018 1.50576i
\(367\) 5.75583 + 9.96939i 0.300452 + 0.520398i 0.976238 0.216700i \(-0.0695292\pi\)
−0.675787 + 0.737097i \(0.736196\pi\)
\(368\) −0.203487 + 0.699960i −0.0106075 + 0.0364880i
\(369\) 5.50153 + 3.17631i 0.286398 + 0.165352i
\(370\) 5.91820 1.14476i 0.307673 0.0595133i
\(371\) 17.7179 + 19.1601i 0.919866 + 0.994744i
\(372\) −6.69735 16.6643i −0.347241 0.864003i
\(373\) 20.3241 + 11.7341i 1.05234 + 0.607570i 0.923304 0.384070i \(-0.125478\pi\)
0.129037 + 0.991640i \(0.458811\pi\)
\(374\) 23.5173 + 27.1037i 1.21605 + 1.40150i
\(375\) 1.90624 1.10057i 0.0984379 0.0568331i
\(376\) −5.34941 + 0.265624i −0.275875 + 0.0136985i
\(377\) 21.2133i 1.09254i
\(378\) −9.45511 1.04252i −0.486318 0.0536217i
\(379\) −15.5653 −0.799536 −0.399768 0.916616i \(-0.630909\pi\)
−0.399768 + 0.916616i \(0.630909\pi\)
\(380\) −3.74462 0.533264i −0.192095 0.0273559i
\(381\) −3.17191 5.49391i −0.162502 0.281462i
\(382\) −7.15512 8.24626i −0.366088 0.421915i
\(383\) −7.45943 + 12.9201i −0.381159 + 0.660187i −0.991228 0.132161i \(-0.957808\pi\)
0.610069 + 0.792348i \(0.291142\pi\)
\(384\) 5.75730 24.2284i 0.293801 1.23640i
\(385\) −3.39508 14.9915i −0.173029 0.764035i
\(386\) 6.28524 + 32.4935i 0.319910 + 1.65387i
\(387\) −1.94460 + 3.36815i −0.0988498 + 0.171213i
\(388\) 16.3394 20.8348i 0.829509 1.05773i
\(389\) −10.9524 + 6.32338i −0.555310 + 0.320608i −0.751261 0.660006i \(-0.770554\pi\)
0.195951 + 0.980614i \(0.437221\pi\)
\(390\) 4.91136 14.2213i 0.248697 0.720125i
\(391\) 0.795909 0.0402508
\(392\) 16.8567 + 10.3851i 0.851393 + 0.524529i
\(393\) 17.6125 0.888431
\(394\) 9.43015 27.3059i 0.475084 1.37565i
\(395\) −10.5541 + 6.09342i −0.531035 + 0.306593i
\(396\) −16.8692 13.2294i −0.847707 0.664804i
\(397\) 7.61650 13.1922i 0.382261 0.662095i −0.609124 0.793075i \(-0.708479\pi\)
0.991385 + 0.130979i \(0.0418122\pi\)
\(398\) −0.591351 3.05717i −0.0296417 0.153242i
\(399\) −2.43265 10.7417i −0.121785 0.537758i
\(400\) 2.88751 2.76808i 0.144376 0.138404i
\(401\) −7.73594 + 13.3990i −0.386315 + 0.669117i −0.991951 0.126625i \(-0.959585\pi\)
0.605636 + 0.795742i \(0.292919\pi\)
\(402\) −24.6831 28.4472i −1.23108 1.41882i
\(403\) −9.85913 17.0765i −0.491118 0.850641i
\(404\) 0.696139 4.88834i 0.0346342 0.243204i
\(405\) −11.1310 −0.553102
\(406\) −16.3231 1.79980i −0.810103 0.0893223i
\(407\) 24.7632i 1.22747i
\(408\) −27.1575 + 1.34850i −1.34450 + 0.0667608i
\(409\) −7.47055 + 4.31313i −0.369395 + 0.213270i −0.673194 0.739466i \(-0.735078\pi\)
0.303799 + 0.952736i \(0.401745\pi\)
\(410\) 3.19121 + 3.67786i 0.157603 + 0.181637i
\(411\) 19.4408 + 11.2241i 0.958944 + 0.553646i
\(412\) 3.41584 1.37282i 0.168286 0.0676340i
\(413\) 13.1823 + 14.2554i 0.648661 + 0.701462i
\(414\) −0.466839 + 0.0903011i −0.0229439 + 0.00443806i
\(415\) −14.6962 8.48487i −0.721409 0.416506i
\(416\) 2.50758 27.2261i 0.122944 1.33487i
\(417\) 10.9371 + 18.9436i 0.535592 + 0.927673i
\(418\) −5.07227 + 14.6873i −0.248093 + 0.718378i
\(419\) 10.6898i 0.522230i −0.965308 0.261115i \(-0.915910\pi\)
0.965308 0.261115i \(-0.0840902\pi\)
\(420\) 10.5263 + 4.98575i 0.513630 + 0.243280i
\(421\) 20.4941i 0.998823i −0.866365 0.499412i \(-0.833550\pi\)
0.866365 0.499412i \(-0.166450\pi\)
\(422\) 38.6804 + 13.3583i 1.88293 + 0.650273i
\(423\) −1.74688 3.02569i −0.0849363 0.147114i
\(424\) 24.8228 + 12.7338i 1.20550 + 0.618410i
\(425\) −3.78236 2.18375i −0.183471 0.105927i
\(426\) 5.20623 + 26.9152i 0.252243 + 1.30405i
\(427\) 24.7393 + 7.67685i 1.19722 + 0.371509i
\(428\) 33.7252 13.5541i 1.63017 0.655162i
\(429\) −53.5277 30.9042i −2.58434 1.49207i
\(430\) −2.25166 + 1.95372i −0.108585 + 0.0942170i
\(431\) 20.9544 12.0980i 1.00934 0.582740i 0.0983389 0.995153i \(-0.468647\pi\)
0.910997 + 0.412412i \(0.135314\pi\)
\(432\) −9.87607 + 2.42401i −0.475163 + 0.116625i
\(433\) 20.2949i 0.975311i 0.873036 + 0.487655i \(0.162148\pi\)
−0.873036 + 0.487655i \(0.837852\pi\)
\(434\) 13.9764 6.13754i 0.670890 0.294611i
\(435\) −9.66074 −0.463197
\(436\) 7.78554 + 1.10872i 0.372860 + 0.0530982i
\(437\) 0.172321 + 0.298469i 0.00824324 + 0.0142777i
\(438\) −19.9546 + 17.3142i −0.953467 + 0.827306i
\(439\) −2.52231 + 4.36878i −0.120384 + 0.208510i −0.919919 0.392109i \(-0.871746\pi\)
0.799535 + 0.600619i \(0.205079\pi\)
\(440\) −8.91184 13.8059i −0.424855 0.658169i
\(441\) −1.00863 + 12.8756i −0.0480300 + 0.613124i
\(442\) −29.3100 + 5.66946i −1.39414 + 0.269669i
\(443\) −4.04696 + 7.00955i −0.192277 + 0.333034i −0.946005 0.324153i \(-0.894921\pi\)
0.753727 + 0.657187i \(0.228254\pi\)
\(444\) 14.7652 + 11.5794i 0.700724 + 0.549534i
\(445\) 5.11692 2.95425i 0.242565 0.140045i
\(446\) 14.7757 + 5.10283i 0.699652 + 0.241626i
\(447\) 34.7085 1.64166
\(448\) 20.7371 + 4.23946i 0.979736 + 0.200296i
\(449\) −4.05786 −0.191502 −0.0957511 0.995405i \(-0.530525\pi\)
−0.0957511 + 0.995405i \(0.530525\pi\)
\(450\) 2.46630 + 0.851741i 0.116263 + 0.0401515i
\(451\) 17.3237 10.0019i 0.815742 0.470969i
\(452\) 11.2782 + 8.84482i 0.530484 + 0.416025i
\(453\) −6.66111 + 11.5374i −0.312966 + 0.542074i
\(454\) −11.4140 + 2.20781i −0.535684 + 0.103618i
\(455\) 12.2132 + 3.78988i 0.572566 + 0.177673i
\(456\) −6.38553 9.89221i −0.299030 0.463245i
\(457\) −2.70734 + 4.68925i −0.126644 + 0.219354i −0.922374 0.386297i \(-0.873754\pi\)
0.795730 + 0.605651i \(0.207087\pi\)
\(458\) −10.7613 + 9.33736i −0.502841 + 0.436306i
\(459\) 5.55174 + 9.61589i 0.259133 + 0.448831i
\(460\) −0.360829 0.0513849i −0.0168237 0.00239583i
\(461\) 18.9095 0.880702 0.440351 0.897826i \(-0.354854\pi\)
0.440351 + 0.897826i \(0.354854\pi\)
\(462\) 28.3215 38.5662i 1.31763 1.79426i
\(463\) 0.304782i 0.0141644i 0.999975 + 0.00708220i \(0.00225435\pi\)
−0.999975 + 0.00708220i \(0.997746\pi\)
\(464\) −17.0499 + 4.18477i −0.791520 + 0.194273i
\(465\) 7.77680 4.48994i 0.360641 0.208216i
\(466\) −7.87362 + 6.83179i −0.364738 + 0.316477i
\(467\) −3.35368 1.93625i −0.155190 0.0895989i 0.420394 0.907342i \(-0.361892\pi\)
−0.575584 + 0.817743i \(0.695225\pi\)
\(468\) 16.5485 6.65083i 0.764956 0.307435i
\(469\) 23.5026 21.7335i 1.08525 1.00356i
\(470\) −0.508580 2.62926i −0.0234590 0.121279i
\(471\) −38.9156 22.4680i −1.79314 1.03527i
\(472\) 18.4685 + 9.47415i 0.850083 + 0.436083i
\(473\) 6.12334 + 10.6059i 0.281552 + 0.487662i
\(474\) −35.8580 12.3836i −1.64701 0.568799i
\(475\) 1.89120i 0.0867742i
\(476\) −1.87577 23.0344i −0.0859756 1.05578i
\(477\) 18.1984i 0.833247i
\(478\) 9.67308 28.0094i 0.442436 1.28112i
\(479\) −16.4744 28.5344i −0.752732 1.30377i −0.946494 0.322722i \(-0.895402\pi\)
0.193761 0.981049i \(-0.437931\pi\)
\(480\) 12.3990 + 1.14197i 0.565936 + 0.0521237i
\(481\) 17.8413 + 10.3007i 0.813494 + 0.469671i
\(482\) 3.88204 0.750906i 0.176822 0.0342028i
\(483\) −0.234408 1.03506i −0.0106659 0.0470970i
\(484\) −42.2234 + 16.9695i −1.91924 + 0.771341i
\(485\) 11.4652 + 6.61941i 0.520606 + 0.300572i
\(486\) −15.6392 18.0242i −0.709410 0.817594i
\(487\) −35.8923 + 20.7224i −1.62643 + 0.939022i −0.641289 + 0.767300i \(0.721600\pi\)
−0.985145 + 0.171722i \(0.945067\pi\)
\(488\) 27.6575 1.37333i 1.25199 0.0621677i
\(489\) 8.42012i 0.380771i
\(490\) −3.95243 + 9.07625i −0.178553 + 0.410023i
\(491\) −25.4339 −1.14782 −0.573908 0.818920i \(-0.694573\pi\)
−0.573908 + 0.818920i \(0.694573\pi\)
\(492\) −2.13701 + 15.0063i −0.0963439 + 0.676535i
\(493\) 9.58441 + 16.6007i 0.431660 + 0.747658i
\(494\) −8.47194 9.76389i −0.381171 0.439298i
\(495\) 5.35949 9.28291i 0.240891 0.417236i
\(496\) 11.7800 11.2928i 0.528940 0.507062i
\(497\) −22.7248 + 5.14644i −1.01935 + 0.230849i
\(498\) −10.0320 51.8634i −0.449543 2.32405i
\(499\) 3.25059 5.63019i 0.145516 0.252042i −0.784049 0.620699i \(-0.786849\pi\)
0.929565 + 0.368657i \(0.120182\pi\)
\(500\) 1.57376 + 1.23421i 0.0703809 + 0.0551954i
\(501\) −41.2759 + 23.8307i −1.84407 + 1.06468i
\(502\) −8.66309 + 25.0848i −0.386653 + 1.11959i
\(503\) 23.4094 1.04378 0.521888 0.853014i \(-0.325228\pi\)
0.521888 + 0.853014i \(0.325228\pi\)
\(504\) 3.71363 + 13.2980i 0.165418 + 0.592338i
\(505\) 2.46883 0.109862
\(506\) −0.488760 + 1.41525i −0.0217280 + 0.0629157i
\(507\) 19.7505 11.4029i 0.877149 0.506422i
\(508\) 3.55706 4.53569i 0.157819 0.201239i
\(509\) −8.44031 + 14.6190i −0.374110 + 0.647978i −0.990193 0.139703i \(-0.955385\pi\)
0.616083 + 0.787681i \(0.288719\pi\)
\(510\) −2.58192 13.3481i −0.114330 0.591062i
\(511\) −15.2452 16.4861i −0.674406 0.729303i
\(512\) 22.3772 3.35550i 0.988943 0.148294i
\(513\) −2.40400 + 4.16385i −0.106139 + 0.183838i
\(514\) 7.24067 + 8.34485i 0.319372 + 0.368076i
\(515\) 0.920346 + 1.59409i 0.0405553 + 0.0702438i
\(516\) −9.18715 1.30832i −0.404442 0.0575957i
\(517\) −11.0015 −0.483844
\(518\) −9.43984 + 12.8545i −0.414763 + 0.564795i
\(519\) 22.8989i 1.00515i
\(520\) 13.6539 0.677981i 0.598761 0.0297314i
\(521\) 21.2245 12.2540i 0.929864 0.536857i 0.0430955 0.999071i \(-0.486278\pi\)
0.886769 + 0.462214i \(0.152945\pi\)
\(522\) −7.50519 8.64971i −0.328493 0.378587i
\(523\) −25.2087 14.5543i −1.10230 0.636414i −0.165476 0.986214i \(-0.552916\pi\)
−0.936824 + 0.349800i \(0.886249\pi\)
\(524\) 5.96768 + 14.8487i 0.260699 + 0.648669i
\(525\) −1.72595 + 5.56203i −0.0753266 + 0.242747i
\(526\) −8.08027 + 1.56297i −0.352316 + 0.0681488i
\(527\) −15.4307 8.90893i −0.672173 0.388079i
\(528\) 14.2793 49.1185i 0.621428 2.13761i
\(529\) −11.4834 19.8898i −0.499278 0.864775i
\(530\) −4.55349 + 13.1851i −0.197791 + 0.572724i
\(531\) 13.5399i 0.587580i
\(532\) 8.23186 5.69056i 0.356896 0.246717i
\(533\) 16.6418i 0.720837i
\(534\) 17.3849 + 6.00391i 0.752319 + 0.259815i
\(535\) 9.08674 + 15.7387i 0.392854 + 0.680443i
\(536\) 15.6198 30.4487i 0.674675 1.31518i
\(537\) 14.5070 + 8.37563i 0.626024 + 0.361435i
\(538\) −6.49680 33.5872i −0.280097 1.44805i
\(539\) 33.5240 + 23.0225i 1.44398 + 0.991649i
\(540\) −1.89609 4.71784i −0.0815948 0.203023i
\(541\) 3.98939 + 2.30327i 0.171517 + 0.0990254i 0.583301 0.812256i \(-0.301761\pi\)
−0.411784 + 0.911282i \(0.635094\pi\)
\(542\) −16.7434 + 14.5279i −0.719190 + 0.624027i
\(543\) −21.3927 + 12.3511i −0.918050 + 0.530036i
\(544\) −10.3387 22.4390i −0.443270 0.962066i
\(545\) 3.93204i 0.168430i
\(546\) 16.0053 + 36.4473i 0.684963 + 1.55980i
\(547\) 4.27444 0.182762 0.0913808 0.995816i \(-0.470872\pi\)
0.0913808 + 0.995816i \(0.470872\pi\)
\(548\) −2.87568 + 20.1933i −0.122843 + 0.862613i
\(549\) 9.03171 + 15.6434i 0.385464 + 0.667644i
\(550\) 6.20577 5.38463i 0.264615 0.229601i
\(551\) −4.15022 + 7.18839i −0.176805 + 0.306236i
\(552\) −0.615305 0.953206i −0.0261891 0.0405711i
\(553\) 9.55590 30.7948i 0.406358 1.30953i
\(554\) −20.3590 + 3.93806i −0.864971 + 0.167312i
\(555\) −4.69103 + 8.12511i −0.199123 + 0.344892i
\(556\) −12.2651 + 15.6396i −0.520158 + 0.663266i
\(557\) 16.1482 9.32317i 0.684221 0.395035i −0.117222 0.993106i \(-0.537399\pi\)
0.801443 + 0.598070i \(0.204066\pi\)
\(558\) 10.0616 + 3.47481i 0.425944 + 0.147100i
\(559\) −10.1885 −0.430926
\(560\) −0.636741 + 10.5638i −0.0269072 + 0.446403i
\(561\) −55.8515 −2.35805
\(562\) −20.1071 6.94401i −0.848165 0.292915i
\(563\) −19.1853 + 11.0766i −0.808565 + 0.466825i −0.846457 0.532457i \(-0.821269\pi\)
0.0378926 + 0.999282i \(0.487936\pi\)
\(564\) 5.14435 6.55968i 0.216616 0.276212i
\(565\) −3.58320 + 6.20629i −0.150746 + 0.261101i
\(566\) −6.88461 + 1.33169i −0.289382 + 0.0559753i
\(567\) 21.6220 19.9945i 0.908039 0.839688i
\(568\) −20.9277 + 13.5090i −0.878106 + 0.566827i
\(569\) −0.619323 + 1.07270i −0.0259634 + 0.0449699i −0.878715 0.477346i \(-0.841599\pi\)
0.852752 + 0.522316i \(0.174932\pi\)
\(570\) 4.44657 3.85820i 0.186246 0.161602i
\(571\) 10.3953 + 18.0051i 0.435028 + 0.753490i 0.997298 0.0734633i \(-0.0234052\pi\)
−0.562270 + 0.826954i \(0.690072\pi\)
\(572\) 7.91781 55.5995i 0.331060 2.32473i
\(573\) 16.9928 0.709883
\(574\) −12.8055 1.41194i −0.534490 0.0589331i
\(575\) 0.182235i 0.00759971i
\(576\) 8.61004 + 11.9886i 0.358752 + 0.499525i
\(577\) −29.9908 + 17.3152i −1.24853 + 0.720842i −0.970817 0.239821i \(-0.922911\pi\)
−0.277717 + 0.960663i \(0.589578\pi\)
\(578\) −2.21645 + 1.92317i −0.0921922 + 0.0799935i
\(579\) −44.6103 25.7558i −1.85394 1.07037i
\(580\) −3.27338 8.14478i −0.135920 0.338194i
\(581\) 43.7888 9.91675i 1.81667 0.411416i
\(582\) 7.82637 + 40.4609i 0.324414 + 1.67716i
\(583\) 49.6274 + 28.6524i 2.05536 + 1.18666i
\(584\) −21.3586 10.9567i −0.883823 0.453391i
\(585\) 4.45875 + 7.72278i 0.184347 + 0.319298i
\(586\) −3.43292 1.18556i −0.141812 0.0489752i
\(587\) 22.4911i 0.928306i 0.885755 + 0.464153i \(0.153641\pi\)
−0.885755 + 0.464153i \(0.846359\pi\)
\(588\) −29.4032 + 9.22339i −1.21257 + 0.380366i
\(589\) 7.71544i 0.317909i
\(590\) −3.38786 + 9.80989i −0.139476 + 0.403867i
\(591\) 22.4815 + 38.9392i 0.924767 + 1.60174i
\(592\) −4.75944 + 16.3717i −0.195612 + 0.672873i
\(593\) −3.70525 2.13923i −0.152156 0.0878474i 0.421989 0.906601i \(-0.361332\pi\)
−0.574145 + 0.818754i \(0.694665\pi\)
\(594\) −20.5079 + 3.96685i −0.841448 + 0.162762i
\(595\) 11.2699 2.55227i 0.462021 0.104633i
\(596\) 11.7604 + 29.2621i 0.481724 + 1.19862i
\(597\) 4.19719 + 2.42325i 0.171780 + 0.0991771i
\(598\) −0.816350 0.940841i −0.0333830 0.0384738i
\(599\) 5.50041 3.17566i 0.224741 0.129754i −0.383403 0.923581i \(-0.625248\pi\)
0.608143 + 0.793827i \(0.291915\pi\)
\(600\) 0.308759 + 6.21810i 0.0126050 + 0.253853i
\(601\) 3.72971i 0.152138i −0.997103 0.0760691i \(-0.975763\pi\)
0.997103 0.0760691i \(-0.0242369\pi\)
\(602\) 0.864416 7.83977i 0.0352310 0.319525i
\(603\) 22.3229 0.909059
\(604\) −11.9839 1.70661i −0.487620 0.0694409i
\(605\) −11.3764 19.7046i −0.462518 0.801105i
\(606\) 5.03662 + 5.80469i 0.204599 + 0.235799i
\(607\) −9.66175 + 16.7346i −0.392158 + 0.679238i −0.992734 0.120330i \(-0.961605\pi\)
0.600576 + 0.799568i \(0.294938\pi\)
\(608\) 6.17630 8.73532i 0.250482 0.354264i
\(609\) 18.7661 17.3535i 0.760440 0.703199i
\(610\) 2.62946 + 13.5938i 0.106464 + 0.550397i
\(611\) 4.57626 7.92631i 0.185136 0.320664i
\(612\) 9.94530 12.6815i 0.402015 0.512619i
\(613\) −26.3430 + 15.2092i −1.06399 + 0.614292i −0.926532 0.376216i \(-0.877225\pi\)
−0.137453 + 0.990508i \(0.543892\pi\)
\(614\) −6.66735 + 19.3060i −0.269072 + 0.779126i
\(615\) −7.57883 −0.305608
\(616\) 42.1107 + 10.8098i 1.69669 + 0.435538i
\(617\) 9.32522 0.375419 0.187710 0.982225i \(-0.439894\pi\)
0.187710 + 0.982225i \(0.439894\pi\)
\(618\) −1.87042 + 5.41597i −0.0752391 + 0.217862i
\(619\) −9.29185 + 5.36465i −0.373471 + 0.215624i −0.674974 0.737842i \(-0.735845\pi\)
0.301503 + 0.953465i \(0.402512\pi\)
\(620\) 6.42041 + 5.03513i 0.257850 + 0.202216i
\(621\) −0.231647 + 0.401225i −0.00929569 + 0.0161006i
\(622\) 4.44066 + 22.9574i 0.178054 + 0.920508i
\(623\) −4.63296 + 14.9301i −0.185616 + 0.598163i
\(624\) 29.4490 + 30.7197i 1.17891 + 1.22977i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) −2.35251 2.71127i −0.0940254 0.108364i
\(627\) −12.0923 20.9445i −0.482921 0.836444i
\(628\) 5.75640 40.4219i 0.229705 1.61301i
\(629\) 18.6159 0.742264
\(630\) −6.32078 + 2.77568i −0.251826 + 0.110586i
\(631\) 7.84644i 0.312362i −0.987728 0.156181i \(-0.950082\pi\)
0.987728 0.156181i \(-0.0499183\pi\)
\(632\) −1.70948 34.4272i −0.0679994 1.36944i
\(633\) −55.1595 + 31.8464i −2.19239 + 1.26578i
\(634\) 15.8853 + 18.3078i 0.630887 + 0.727096i
\(635\) 2.49594 + 1.44103i 0.0990484 + 0.0571856i
\(636\) −40.2901 + 16.1925i −1.59761 + 0.642076i
\(637\) −30.5321 + 14.5767i −1.20972 + 0.577548i
\(638\) −35.4044 + 6.84830i −1.40167 + 0.271127i
\(639\) −14.0715 8.12420i −0.556661 0.321388i
\(640\) 3.23842 + 10.8403i 0.128010 + 0.428501i
\(641\) 6.79977 + 11.7775i 0.268575 + 0.465185i 0.968494 0.249037i \(-0.0801141\pi\)
−0.699919 + 0.714222i \(0.746781\pi\)
\(642\) −18.4669 + 53.4728i −0.728832 + 2.11040i
\(643\) 5.68857i 0.224335i 0.993689 + 0.112168i \(0.0357794\pi\)
−0.993689 + 0.112168i \(0.964221\pi\)
\(644\) 0.793215 0.548338i 0.0312571 0.0216075i
\(645\) 4.63992i 0.182697i
\(646\) −11.0412 3.81311i −0.434412 0.150025i
\(647\) −0.225415 0.390431i −0.00886200 0.0153494i 0.861560 0.507655i \(-0.169488\pi\)
−0.870422 + 0.492306i \(0.836154\pi\)
\(648\) 14.3700 28.0123i 0.564507 1.10043i
\(649\) 36.9234 + 21.3178i 1.44937 + 0.836795i
\(650\) 1.29810 + 6.71095i 0.0509158 + 0.263225i
\(651\) −7.04127 + 22.6911i −0.275969 + 0.889336i
\(652\) 7.09884 2.85301i 0.278012 0.111733i
\(653\) −3.69894 2.13559i −0.144751 0.0835720i 0.425875 0.904782i \(-0.359966\pi\)
−0.570626 + 0.821210i \(0.693300\pi\)
\(654\) −9.24497 + 8.02169i −0.361507 + 0.313673i
\(655\) −6.92953 + 4.00076i −0.270759 + 0.156323i
\(656\) −13.3756 + 3.28294i −0.522229 + 0.128177i
\(657\) 15.6586i 0.610901i
\(658\) 5.71084 + 4.19381i 0.222632 + 0.163492i
\(659\) 15.5436 0.605493 0.302746 0.953071i \(-0.402097\pi\)
0.302746 + 0.953071i \(0.402097\pi\)
\(660\) 25.3205 + 3.60585i 0.985601 + 0.140357i
\(661\) −14.4897 25.0969i −0.563583 0.976155i −0.997180 0.0750479i \(-0.976089\pi\)
0.433597 0.901107i \(-0.357244\pi\)
\(662\) 25.4283 22.0636i 0.988297 0.857527i
\(663\) 23.2324 40.2398i 0.902273 1.56278i
\(664\) 40.3259 26.0308i 1.56495 1.01019i
\(665\) 3.39715 + 3.67367i 0.131736 + 0.142459i
\(666\) −10.9191 + 2.11209i −0.423107 + 0.0818420i
\(667\) −0.399912 + 0.692668i −0.0154846 + 0.0268202i
\(668\) −34.0768 26.7243i −1.31847 1.03400i
\(669\) −21.0707 + 12.1652i −0.814641 + 0.470333i
\(670\) 16.1734 + 5.58550i 0.624832 + 0.215787i
\(671\) 56.8797 2.19582
\(672\) −26.1366 + 20.0540i −1.00824 + 0.773599i
\(673\) 32.3539 1.24715 0.623576 0.781763i \(-0.285679\pi\)
0.623576 + 0.781763i \(0.285679\pi\)
\(674\) −1.64038 0.566508i −0.0631851 0.0218211i
\(675\) 2.20170 1.27115i 0.0847433 0.0489266i
\(676\) 16.3057 + 12.7875i 0.627142 + 0.491829i
\(677\) −22.4527 + 38.8892i −0.862927 + 1.49463i 0.00616405 + 0.999981i \(0.498038\pi\)
−0.869091 + 0.494652i \(0.835295\pi\)
\(678\) −21.9022 + 4.23655i −0.841148 + 0.162704i
\(679\) −34.1616 + 7.73649i −1.31100 + 0.296899i
\(680\) 10.3786 6.69953i 0.398003 0.256915i
\(681\) 9.04722 15.6703i 0.346690 0.600485i
\(682\) 25.3174 21.9674i 0.969453 0.841176i
\(683\) 5.62256 + 9.73856i 0.215141 + 0.372636i 0.953316 0.301974i \(-0.0976454\pi\)
−0.738175 + 0.674609i \(0.764312\pi\)
\(684\) 6.90885 + 0.983875i 0.264167 + 0.0376194i
\(685\) −10.1985 −0.389665
\(686\) −8.62595 24.7304i −0.329340 0.944211i
\(687\) 22.1754i 0.846043i
\(688\) −2.00989 8.18881i −0.0766261 0.312195i
\(689\) −41.2868 + 23.8369i −1.57290 + 0.908115i
\(690\) 0.428468 0.371773i 0.0163115 0.0141532i
\(691\) −8.53812 4.92949i −0.324805 0.187527i 0.328727 0.944425i \(-0.393380\pi\)
−0.653533 + 0.756898i \(0.726714\pi\)
\(692\) 19.3056 7.75889i 0.733889 0.294949i
\(693\) 6.26394 + 27.6593i 0.237948 + 1.05069i
\(694\) 8.31689 + 42.9968i 0.315705 + 1.63213i
\(695\) −8.60629 4.96884i −0.326455 0.188479i
\(696\) 12.4720 24.3123i 0.472748 0.921557i
\(697\) 7.51896 + 13.0232i 0.284801 + 0.493289i
\(698\) 35.6611 + 12.3156i 1.34979 + 0.466153i
\(699\) 16.2249i 0.613681i
\(700\) −5.27404 + 0.429483i −0.199340 + 0.0162329i
\(701\) 6.00307i 0.226733i 0.993553 + 0.113366i \(0.0361634\pi\)
−0.993553 + 0.113366i \(0.963837\pi\)
\(702\) 5.67259 16.4255i 0.214098 0.619942i
\(703\) 4.03050 + 6.98103i 0.152013 + 0.263294i
\(704\) 46.2492 4.60435i 1.74308 0.173533i
\(705\) 3.60972 + 2.08407i 0.135950 + 0.0784907i
\(706\) 19.4800 3.76802i 0.733138 0.141811i
\(707\) −4.79573 + 4.43474i −0.180362 + 0.166785i
\(708\) −29.9764 + 12.0475i −1.12658 + 0.452772i
\(709\) −10.2323 5.90764i −0.384283 0.221866i 0.295397 0.955375i \(-0.404548\pi\)
−0.679680 + 0.733508i \(0.737881\pi\)
\(710\) −8.16230 9.40703i −0.306326 0.353040i
\(711\) 19.4724 11.2424i 0.730272 0.421623i
\(712\) 0.828801 + 16.6912i 0.0310606 + 0.625530i
\(713\) 0.743454i 0.0278426i
\(714\) 28.9924 + 21.2908i 1.08501 + 0.796790i
\(715\) 28.0802 1.05014
\(716\) −2.14588 + 15.0685i −0.0801952 + 0.563137i
\(717\) 23.0607 + 39.9423i 0.861217 + 1.49167i
\(718\) −11.2548 12.9711i −0.420025 0.484077i
\(719\) 3.06796 5.31386i 0.114415 0.198173i −0.803130 0.595803i \(-0.796834\pi\)
0.917546 + 0.397630i \(0.130167\pi\)
\(720\) −5.32748 + 5.10713i −0.198543 + 0.190331i
\(721\) −4.65122 1.44332i −0.173221 0.0537520i
\(722\) 4.14231 + 21.4150i 0.154161 + 0.796983i
\(723\) −3.07708 + 5.32966i −0.114438 + 0.198212i
\(724\) −17.6615 13.8508i −0.656386 0.514762i
\(725\) 3.80097 2.19449i 0.141164 0.0815013i
\(726\) 23.1203 66.9471i 0.858074 2.48464i
\(727\) −14.8986 −0.552558 −0.276279 0.961077i \(-0.589101\pi\)
−0.276279 + 0.961077i \(0.589101\pi\)
\(728\) −25.3049 + 25.8433i −0.937862 + 0.957816i
\(729\) 3.74887 0.138847
\(730\) 3.91801 11.3450i 0.145012 0.419896i
\(731\) −7.97308 + 4.60326i −0.294895 + 0.170258i
\(732\) −26.5973 + 33.9148i −0.983063 + 1.25353i
\(733\) 23.7602 41.1539i 0.877604 1.52006i 0.0236421 0.999720i \(-0.492474\pi\)
0.853962 0.520335i \(-0.174193\pi\)
\(734\) −3.09173 15.9837i −0.114118 0.589968i
\(735\) −6.63835 13.9046i −0.244859 0.512879i
\(736\) 0.595144 0.841728i 0.0219373 0.0310265i
\(737\) 35.1462 60.8750i 1.29463 2.24236i
\(738\) −5.88781 6.78568i −0.216733 0.249784i
\(739\) 1.95274 + 3.38225i 0.0718328 + 0.124418i 0.899705 0.436499i \(-0.143782\pi\)
−0.827872 + 0.560917i \(0.810449\pi\)
\(740\) −8.43959 1.20187i −0.310246 0.0441814i
\(741\) 20.1201 0.739130
\(742\) −14.8390 33.7915i −0.544759 1.24053i
\(743\) 48.0392i 1.76239i −0.472755 0.881194i \(-0.656741\pi\)
0.472755 0.881194i \(-0.343259\pi\)
\(744\) 1.25963 + 25.3677i 0.0461803 + 0.930024i
\(745\) −13.6559 + 7.88422i −0.500312 + 0.288855i
\(746\) −21.7511 25.0680i −0.796363 0.917806i
\(747\) 27.1146 + 15.6546i 0.992073 + 0.572773i
\(748\) −18.9243 47.0873i −0.691942 1.72168i
\(749\) −45.9223 14.2501i −1.67797 0.520688i
\(750\) −3.05623 + 0.591168i −0.111598 + 0.0215864i
\(751\) −0.139857 0.0807464i −0.00510345 0.00294648i 0.497446 0.867495i \(-0.334271\pi\)
−0.502550 + 0.864548i \(0.667605\pi\)
\(752\) 7.27341 + 2.11446i 0.265234 + 0.0771066i
\(753\) −20.6529 35.7718i −0.752633 1.30360i
\(754\) 9.79305 28.3568i 0.356642 1.03269i
\(755\) 6.05243i 0.220270i
\(756\) 12.1578 + 5.75851i 0.442174 + 0.209435i
\(757\) 17.0175i 0.618513i −0.950979 0.309257i \(-0.899920\pi\)
0.950979 0.309257i \(-0.100080\pi\)
\(758\) 20.8068 + 7.18567i 0.755738 + 0.260995i
\(759\) −1.16521 2.01820i −0.0422944 0.0732560i
\(760\) 4.75942 + 2.44153i 0.172642 + 0.0885635i
\(761\) 23.5345 + 13.5876i 0.853125 + 0.492552i 0.861704 0.507411i \(-0.169398\pi\)
−0.00857924 + 0.999963i \(0.502731\pi\)
\(762\) 1.70379 + 8.80825i 0.0617216 + 0.319089i
\(763\) −7.06309 7.63803i −0.255701 0.276515i
\(764\) 5.75771 + 14.3263i 0.208307 + 0.518306i
\(765\) 6.97848 + 4.02903i 0.252308 + 0.145670i
\(766\) 15.9359 13.8272i 0.575786 0.499599i
\(767\) −30.7179 + 17.7350i −1.10916 + 0.640374i
\(768\) −18.8810 + 29.7293i −0.681309 + 1.07276i
\(769\) 16.2516i 0.586049i −0.956105 0.293025i \(-0.905338\pi\)
0.956105 0.293025i \(-0.0946618\pi\)
\(770\) −2.38240 + 21.6070i −0.0858559 + 0.778664i
\(771\) −17.1959 −0.619296
\(772\) 6.59876 46.3370i 0.237494 1.66771i
\(773\) −2.07903 3.60098i −0.0747774 0.129518i 0.826212 0.563359i \(-0.190491\pi\)
−0.900989 + 0.433841i \(0.857158\pi\)
\(774\) 4.15433