Properties

Label 280.2.bj.f.171.2
Level $280$
Weight $2$
Character 280.171
Analytic conductor $2.236$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

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 171.2
Character \(\chi\) \(=\) 280.171
Dual form 280.2.bj.f.131.2

$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

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

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 0.936370 0.351014i \(-0.114163\pi\)
0.164198 + 0.986427i \(0.447496\pi\)
\(4\) 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 −0.0199929 + 0.999800i \(0.506364\pi\)
−0.855856 + 0.517214i \(0.826969\pi\)
\(12\) 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 0.882791 0.469766i \(-0.155662\pi\)
0.0345662 + 0.999402i \(0.488995\pi\)
\(18\) −1.97078 1.71001i −0.464517 0.403053i
\(19\) 1.63783 0.945600i 0.375743 0.216936i −0.300221 0.953870i \(-0.597061\pi\)
0.675965 + 0.736934i \(0.263727\pi\)
\(20\) −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 −0.483456 0.875369i \(-0.660619\pi\)
0.516364 + 0.856369i \(0.327285\pi\)
\(24\) −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 \(-0.866398\pi\)
0.913202 0.407506i \(-0.133602\pi\)
\(30\) 1.01615 + 2.94236i 0.185522 + 0.537198i
\(31\) −2.03983 + 3.53308i −0.366364 + 0.634560i −0.988994 0.147956i \(-0.952731\pi\)
0.622630 + 0.782516i \(0.286064\pi\)
\(32\) 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 −0.164882 0.986313i \(-0.552724\pi\)
0.771731 + 0.635949i \(0.219391\pi\)
\(38\) −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 \(-0.913352\pi\)
0.963178 0.268864i \(-0.0866483\pi\)
\(42\) 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 0.926780 0.375604i \(-0.122565\pi\)
−0.788673 + 0.614813i \(0.789231\pi\)
\(48\) 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 −0.218884 0.975751i \(-0.570242\pi\)
−0.954467 + 0.298317i \(0.903575\pi\)
\(54\) 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 0.0255550 0.999673i \(-0.491865\pi\)
−0.852965 + 0.521968i \(0.825198\pi\)
\(60\) −2.71666 3.46407i −0.350719 0.447210i
\(61\) −4.89522 8.47877i −0.626769 1.08560i −0.988196 0.153195i \(-0.951044\pi\)
0.361427 0.932400i \(-0.382290\pi\)
\(62\) 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 −0.213845 0.976868i \(-0.568599\pi\)
0.952915 0.303238i \(-0.0980678\pi\)
\(68\) 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 \(0.175031\pi\)
−0.852590 + 0.522581i \(0.824969\pi\)
\(72\) −5.21205 0.258804i −0.614246 0.0305003i
\(73\) 7.34998 + 4.24351i 0.860250 + 0.496666i 0.864096 0.503327i \(-0.167891\pi\)
−0.00384586 + 0.999993i \(0.501224\pi\)
\(74\) −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 0.229708 0.973259i \(-0.426223\pi\)
0.957722 + 0.287696i \(0.0928894\pi\)
\(80\) −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 \(-0.618645\pi\)
0.364163 0.931335i \(-0.381355\pi\)
\(84\) −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 −0.746048 0.665892i \(-0.768051\pi\)
0.203656 + 0.979043i \(0.434718\pi\)
\(90\) −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 \(0.234607\pi\)
−0.740461 + 0.672100i \(0.765393\pi\)
\(98\) 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 −0.920882 0.389841i \(-0.872530\pi\)
0.798053 + 0.602587i \(0.205863\pi\)
\(102\) −10.2688 8.91004i −1.01676 0.882226i
\(103\) 0.920346 + 1.59409i 0.0906844 + 0.157070i 0.907799 0.419405i \(-0.137761\pi\)
−0.817115 + 0.576475i \(0.804428\pi\)
\(104\) −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 0.853044 + 0.521839i \(0.174754\pi\)
0.0254044 + 0.999677i \(0.491913\pi\)
\(108\) −3.13772 4.00098i −0.301927 0.384995i
\(109\) 3.40525 + 1.96602i 0.326164 + 0.188311i 0.654137 0.756376i \(-0.273032\pi\)
−0.327973 + 0.944687i \(0.606365\pi\)
\(110\) −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 \(0.0408143\pi\)
−0.991791 + 0.127871i \(0.959186\pi\)
\(128\) 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 −0.165741 0.986169i \(-0.553002\pi\)
0.771177 + 0.636621i \(0.219668\pi\)
\(132\) −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 −0.561691 0.827347i \(-0.689849\pi\)
0.997349 + 0.0727651i \(0.0231823\pi\)
\(138\) −0.536199 + 0.185177i −0.0456443 + 0.0157633i
\(139\) 9.93769i 0.842904i −0.906851 0.421452i \(-0.861521\pi\)
0.906851 0.421452i \(-0.138479\pi\)
\(140\) 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 0.177655 0.984093i \(-0.443149\pi\)
0.941077 + 0.338192i \(0.109815\pi\)
\(150\) 2.04008 2.35119i 0.166572 0.191974i
\(151\) −5.24155 3.02621i −0.426552 0.246270i 0.271325 0.962488i \(-0.412538\pi\)
−0.697877 + 0.716218i \(0.745872\pi\)
\(152\) −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 0.0949439 + 0.995483i \(0.469733\pi\)
−0.909585 + 0.415518i \(0.863600\pi\)
\(158\) −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 0.931158 0.364616i \(-0.118800\pi\)
−0.781346 + 0.624098i \(0.785466\pi\)
\(164\) −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 0.993161 0.116752i \(-0.0372483\pi\)
−0.597691 + 0.801727i \(0.703915\pi\)
\(174\) −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 −0.688056 0.725657i \(-0.741536\pi\)
0.972466 + 0.233046i \(0.0748692\pi\)
\(180\) −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 −0.238222 0.971211i \(-0.576564\pi\)
0.721983 + 0.691911i \(0.243231\pi\)
\(192\) 1.74446 17.5225i 0.125895 1.26458i
\(193\) −11.7011 + 20.2669i −0.842265 + 1.45885i 0.0457097 + 0.998955i \(0.485445\pi\)
−0.887975 + 0.459892i \(0.847888\pi\)
\(194\) −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 \(-0.740594\pi\)
0.685907 0.727689i \(-0.259406\pi\)
\(198\) 14.3285 4.94838i 1.01828 0.351666i
\(199\) 1.10091 1.90683i 0.0780413 0.135172i −0.824363 0.566061i \(-0.808467\pi\)
0.902405 + 0.430889i \(0.141800\pi\)
\(200\) −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 0.717292 0.696773i \(-0.245381\pi\)
−0.244777 + 0.969579i \(0.578715\pi\)
\(228\) 6.55126 5.13774i 0.433868 0.340255i
\(229\) 5.03725 + 8.72478i 0.332871 + 0.576549i 0.983074 0.183211i \(-0.0586493\pi\)
−0.650203 + 0.759761i \(0.725316\pi\)
\(230\) 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 0.961127 0.276105i \(-0.0890438\pi\)
−0.719678 + 0.694308i \(0.755711\pi\)
\(234\) −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 \(-0.762984\pi\)
0.735355 0.677682i \(-0.237016\pi\)
\(240\) −8.55076 2.09872i −0.551949 0.135472i
\(241\) −2.42132 1.39795i −0.155971 0.0900498i 0.419983 0.907532i \(-0.362036\pi\)
−0.575954 + 0.817482i \(0.695369\pi\)
\(242\) 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 \(0.201756\pi\)
−0.805763 + 0.592238i \(0.798244\pi\)
\(252\) −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 −0.695945 0.718095i \(-0.745014\pi\)
0.273916 + 0.961754i \(0.411681\pi\)
\(258\) 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 0.647271 0.762260i \(-0.275910\pi\)
−0.336501 + 0.941683i \(0.609243\pi\)
\(264\) 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 −0.216197 0.976350i \(-0.569365\pi\)
0.953642 0.300943i \(-0.0973012\pi\)
\(270\) 2.35628 2.71561i 0.143399 0.165266i
\(271\) 7.83742 + 13.5748i 0.476089 + 0.824611i 0.999625 0.0273932i \(-0.00872061\pi\)
−0.523536 + 0.852004i \(0.675387\pi\)
\(272\) 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 0.830362 0.557225i \(-0.188134\pi\)
−0.0673898 + 0.997727i \(0.521467\pi\)
\(278\) 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 0.622169 0.782883i \(-0.286252\pi\)
−0.366912 + 0.930256i \(0.619585\pi\)
\(284\) 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 \(0.135219\pi\)
−0.911121 + 0.412140i \(0.864781\pi\)
\(308\) −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 −0.999363 0.0356762i \(-0.988641\pi\)
0.530578 + 0.847636i \(0.321975\pi\)
\(312\) −26.7737 + 13.7346i −1.51576 + 0.777570i
\(313\) 2.19818 1.26912i 0.124248 0.0717348i −0.436588 0.899662i \(-0.643813\pi\)
0.560836 + 0.827927i \(0.310480\pi\)
\(314\) 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 −0.855109 0.518447i \(-0.826510\pi\)
0.0214339 + 0.999770i \(0.493177\pi\)
\(318\) 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 −0.982085 0.188436i \(-0.939658\pi\)
0.327852 0.944729i \(-0.393675\pi\)
\(332\) −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 0.0658983 + 0.997826i \(0.479009\pi\)
−0.897092 + 0.441844i \(0.854325\pi\)
\(348\) −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 0.140500 0.990081i \(-0.455129\pi\)
−0.787185 + 0.616717i \(0.788462\pi\)
\(354\) 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 −0.196115 0.980581i \(-0.562833\pi\)
0.751150 + 0.660131i \(0.229499\pi\)
\(360\) 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 −0.675787 0.737097i \(-0.736196\pi\)
0.976238 + 0.216700i \(0.0695292\pi\)
\(368\) −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 0.129037 0.991640i \(-0.458811\pi\)
0.923304 + 0.384070i \(0.125478\pi\)
\(374\) 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 0.610069 0.792348i \(-0.291142\pi\)
−0.991228 + 0.132161i \(0.957808\pi\)
\(384\) 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 0.195951 0.980614i \(-0.437221\pi\)
−0.751261 + 0.660006i \(0.770554\pi\)
\(390\) 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 0.991385 0.130979i \(-0.0418122\pi\)
−0.609124 + 0.793075i \(0.708479\pi\)
\(398\) −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 0.605636 0.795742i \(-0.292919\pi\)
−0.991951 + 0.126625i \(0.959585\pi\)
\(402\) −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 0.303799 0.952736i \(-0.401745\pi\)
−0.673194 + 0.739466i \(0.735078\pi\)
\(410\) 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 \(0.0840902\pi\)
−0.965308 + 0.261115i \(0.915910\pi\)
\(420\) 10.5263 4.98575i 0.513630 0.243280i
\(421\) 20.4941i 0.998823i 0.866365 + 0.499412i \(0.166450\pi\)
−0.866365 + 0.499412i \(0.833550\pi\)
\(422\) 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 0.910997 0.412412i \(-0.135314\pi\)
0.0983389 + 0.995153i \(0.468647\pi\)
\(432\) −9.87607 2.42401i −0.475163 0.116625i
\(433\) 20.2949i 0.975311i −0.873036 0.487655i \(-0.837852\pi\)
0.873036 0.487655i \(-0.162148\pi\)
\(434\) 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 0.799535 0.600619i \(-0.205079\pi\)
−0.919919 + 0.392109i \(0.871746\pi\)
\(440\) −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 0.753727 0.657187i \(-0.228254\pi\)
−0.946005 + 0.324153i \(0.894921\pi\)
\(444\) 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 0.795730 0.605651i \(-0.207087\pi\)
−0.922374 + 0.386297i \(0.873754\pi\)
\(458\) −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 \(-0.997746\pi\)
0.999975 0.00708220i \(-0.00225435\pi\)
\(464\) −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 −0.575584 0.817743i \(-0.695225\pi\)
0.420394 + 0.907342i \(0.361892\pi\)
\(468\) 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 0.193761 + 0.981049i \(0.437931\pi\)
−0.946494 + 0.322722i \(0.895402\pi\)
\(480\) 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 −0.985145 0.171722i \(-0.945067\pi\)
−0.641289 0.767300i \(-0.721600\pi\)
\(488\) 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 0.929565 0.368657i \(-0.120182\pi\)
−0.784049 + 0.620699i \(0.786849\pi\)
\(500\) 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 0.616083 0.787681i \(-0.288719\pi\)
−0.990193 + 0.139703i \(0.955385\pi\)
\(510\) −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 0.886769 0.462214i \(-0.152945\pi\)
0.0430955 + 0.999071i \(0.486278\pi\)
\(522\) −7.50519 + 8.64971i −0.328493 + 0.378587i
\(523\) −25.2087 + 14.5543i −1.10230 + 0.636414i −0.936824 0.349800i \(-0.886249\pi\)
−0.165476 + 0.986214i \(0.552916\pi\)
\(524\) 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 −0.411784 0.911282i \(-0.635094\pi\)
0.583301 + 0.812256i \(0.301761\pi\)
\(542\) −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 0.801443 0.598070i \(-0.204066\pi\)
−0.117222 + 0.993106i \(0.537399\pi\)
\(558\) 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 0.0378926 0.999282i \(-0.487936\pi\)
−0.846457 + 0.532457i \(0.821269\pi\)
\(564\) 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 0.852752 0.522316i \(-0.174932\pi\)
−0.878715 + 0.477346i \(0.841599\pi\)
\(570\) 4.44657 + 3.85820i 0.186246 + 0.161602i
\(571\) 10.3953 18.0051i 0.435028 0.753490i −0.562270 0.826954i \(-0.690072\pi\)
0.997298 + 0.0734633i \(0.0234052\pi\)
\(572\) 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 −0.277717 0.960663i \(-0.589578\pi\)
−0.970817 + 0.239821i \(0.922911\pi\)
\(578\) −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 \(-0.846359\pi\)
0.885755 0.464153i \(-0.153641\pi\)
\(588\) −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 −0.574145 0.818754i \(-0.694665\pi\)
0.421989 + 0.906601i \(0.361332\pi\)
\(594\) −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 0.608143 0.793827i \(-0.291915\pi\)
−0.383403 + 0.923581i \(0.625248\pi\)
\(600\) 0.308759 6.21810i 0.0126050 0.253853i
\(601\) 3.72971i 0.152138i 0.997103 + 0.0760691i \(0.0242369\pi\)
−0.997103 + 0.0760691i \(0.975763\pi\)
\(602\) 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 0.600576 0.799568i \(-0.294938\pi\)
−0.992734 + 0.120330i \(0.961605\pi\)
\(608\) 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 −0.137453 0.990508i \(-0.543892\pi\)
−0.926532 + 0.376216i \(0.877225\pi\)
\(614\) −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 0.301503 0.953465i \(-0.402512\pi\)
−0.674974 + 0.737842i \(0.735845\pi\)
\(620\) 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 \(0.0499183\pi\)
−0.987728 + 0.156181i \(0.950082\pi\)
\(632\) −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 −0.699919 0.714222i \(-0.746781\pi\)
0.968494 + 0.249037i \(0.0801141\pi\)
\(642\) −18.4669 53.4728i −0.728832 2.11040i
\(643\) 5.68857i 0.224335i −0.993689 0.112168i \(-0.964221\pi\)
0.993689 0.112168i \(-0.0357794\pi\)
\(644\) 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 −0.870422 0.492306i \(-0.836154\pi\)
0.861560 + 0.507655i \(0.169488\pi\)
\(648\) 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 −0.570626 0.821210i \(-0.693300\pi\)
0.425875 + 0.904782i \(0.359966\pi\)
\(654\) −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 0.433597 + 0.901107i \(0.357244\pi\)
−0.997180 + 0.0750479i \(0.976089\pi\)
\(662\) 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 −0.869091 0.494652i \(-0.835295\pi\)
0.00616405 0.999981i \(-0.498038\pi\)
\(678\) −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 −0.738175 0.674609i \(-0.764312\pi\)
0.953316 + 0.301974i \(0.0976454\pi\)
\(684\) 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 −0.653533 0.756898i \(-0.726714\pi\)
0.328727 + 0.944425i \(0.393380\pi\)
\(692\) 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 \(-0.963837\pi\)
0.993553 0.113366i \(-0.0361634\pi\)
\(702\) 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 −0.679680 0.733508i \(-0.737881\pi\)
0.295397 + 0.955375i \(0.404548\pi\)
\(710\) −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 0.917546 0.397630i \(-0.130167\pi\)
−0.803130 + 0.595803i \(0.796834\pi\)
\(720\) −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 0.853962 + 0.520335i \(0.174193\pi\)
0.0236421 + 0.999720i \(0.492474\pi\)
\(734\) −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 −0.827872 0.560917i \(-0.810449\pi\)
0.899705 + 0.436499i \(0.143782\pi\)
\(740\) −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 \(0.343259\pi\)
−0.472755 + 0.881194i \(0.656741\pi\)
\(744\) 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 −0.502550 0.864548i \(-0.667605\pi\)
0.497446 + 0.867495i \(0.334271\pi\)
\(752\) 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 \(0.100080\pi\)
−0.950979 + 0.309257i \(0.899920\pi\)
\(758\) 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 −0.00857924 0.999963i \(-0.502731\pi\)
0.861704 + 0.507411i \(0.169398\pi\)
\(762\) 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 \(0.0946618\pi\)
−0.956105 + 0.293025i \(0.905338\pi\)
\(770\) −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 −0.900989 0.433841i \(-0.857158\pi\)
0.826212 + 0.563359i \(0.190491\pi\)
\(774\) 4.15433