Properties

Label 280.2.ba.b.19.20
Level $280$
Weight $2$
Character 280.19
Analytic conductor $2.236$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(2.23581125660\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(40\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 19.20
Character \(\chi\) \(=\) 280.19
Dual form 280.2.ba.b.59.20

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0226228 + 1.41403i) q^{2} +(-0.0769760 - 0.133326i) q^{3} +(-1.99898 - 0.0639789i) q^{4} +(0.159286 - 2.23039i) q^{5} +(0.190269 - 0.105830i) q^{6} +(-2.33880 - 1.23694i) q^{7} +(0.135691 - 2.82517i) q^{8} +(1.48815 - 2.57755i) q^{9} +O(q^{10})\) \(q+(-0.0226228 + 1.41403i) q^{2} +(-0.0769760 - 0.133326i) q^{3} +(-1.99898 - 0.0639789i) q^{4} +(0.159286 - 2.23039i) q^{5} +(0.190269 - 0.105830i) q^{6} +(-2.33880 - 1.23694i) q^{7} +(0.135691 - 2.82517i) q^{8} +(1.48815 - 2.57755i) q^{9} +(3.15024 + 0.275693i) q^{10} +(-0.717757 - 1.24319i) q^{11} +(0.145343 + 0.271441i) q^{12} -1.09056i q^{13} +(1.80199 - 3.27915i) q^{14} +(-0.309630 + 0.150449i) q^{15} +(3.99181 + 0.255785i) q^{16} +(1.65673 + 2.86954i) q^{17} +(3.61107 + 2.16260i) q^{18} +(-3.25444 - 1.87895i) q^{19} +(-0.461106 + 4.44830i) q^{20} +(0.0151144 + 0.407038i) q^{21} +(1.77415 - 0.986807i) q^{22} +(1.01985 - 1.76643i) q^{23} +(-0.387114 + 0.199379i) q^{24} +(-4.94926 - 0.710538i) q^{25} +(1.54209 + 0.0246716i) q^{26} -0.920063 q^{27} +(4.59606 + 2.62225i) q^{28} -5.06845i q^{29} +(-0.205735 - 0.441231i) q^{30} +(4.92434 + 8.52921i) q^{31} +(-0.451994 + 5.63877i) q^{32} +(-0.110500 + 0.191392i) q^{33} +(-4.09510 + 2.27775i) q^{34} +(-3.13140 + 5.01940i) q^{35} +(-3.13968 + 5.05725i) q^{36} +(4.33672 - 7.51142i) q^{37} +(2.73053 - 4.55938i) q^{38} +(-0.145400 + 0.0839469i) q^{39} +(-6.27961 - 0.752652i) q^{40} +4.08787i q^{41} +(-0.575907 + 0.0121639i) q^{42} -2.12207i q^{43} +(1.35524 + 2.53103i) q^{44} +(-5.51189 - 3.72972i) q^{45} +(2.47472 + 1.48206i) q^{46} +(-6.16503 - 3.55938i) q^{47} +(-0.273171 - 0.551903i) q^{48} +(3.93995 + 5.78591i) q^{49} +(1.11669 - 6.98234i) q^{50} +(0.255057 - 0.441771i) q^{51} +(-0.0697728 + 2.18000i) q^{52} +(2.25393 + 3.90392i) q^{53} +(0.0208144 - 1.30100i) q^{54} +(-2.88713 + 1.40285i) q^{55} +(-3.81192 + 6.43966i) q^{56} +0.578537i q^{57} +(7.16695 + 0.114663i) q^{58} +(-6.68603 + 3.86018i) q^{59} +(0.628570 - 0.280935i) q^{60} +(3.87063 - 6.70413i) q^{61} +(-12.1720 + 6.77022i) q^{62} +(-6.66876 + 4.18762i) q^{63} +(-7.96318 - 0.766699i) q^{64} +(-2.43237 - 0.173711i) q^{65} +(-0.268134 - 0.160581i) q^{66} +(11.0249 - 6.36523i) q^{67} +(-3.12817 - 5.84213i) q^{68} -0.314016 q^{69} +(-7.02675 - 4.54145i) q^{70} +5.09964i q^{71} +(-7.08009 - 4.55403i) q^{72} +(-4.82381 - 8.35508i) q^{73} +(10.5233 + 6.30219i) q^{74} +(0.286240 + 0.714560i) q^{75} +(6.38535 + 3.96420i) q^{76} +(0.140933 + 3.79540i) q^{77} +(-0.115414 - 0.207500i) q^{78} +(2.80167 + 1.61754i) q^{79} +(1.20634 - 8.86255i) q^{80} +(-4.39363 - 7.60998i) q^{81} +(-5.78038 - 0.0924793i) q^{82} -8.80158 q^{83} +(-0.00417144 - 0.814626i) q^{84} +(6.66407 - 3.23807i) q^{85} +(3.00067 + 0.0480072i) q^{86} +(-0.675757 + 0.390149i) q^{87} +(-3.60962 + 1.85910i) q^{88} +(9.61481 + 5.55111i) q^{89} +(5.39864 - 7.70962i) q^{90} +(-1.34896 + 2.55060i) q^{91} +(-2.15167 + 3.46581i) q^{92} +(0.758112 - 1.31309i) q^{93} +(5.17255 - 8.63703i) q^{94} +(-4.70918 + 6.95938i) q^{95} +(0.786589 - 0.373787i) q^{96} +10.0234 q^{97} +(-8.27060 + 5.44032i) q^{98} -4.27252 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 6q^{4} - 52q^{9} + O(q^{10}) \) \( 80q + 6q^{4} - 52q^{9} - 12q^{10} - 6q^{14} + 10q^{16} - 48q^{19} + 12q^{24} - 22q^{25} + 54q^{26} - 20q^{30} - 22q^{35} + 28q^{36} + 12q^{40} + 38q^{44} + 14q^{46} + 16q^{49} - 40q^{50} + 20q^{51} + 60q^{54} - 104q^{56} - 60q^{59} - 42q^{60} - 60q^{64} - 12q^{65} + 84q^{66} - 22q^{70} + 34q^{74} - 6q^{75} - 96q^{80} - 100q^{84} - 8q^{86} - 36q^{89} + 72q^{91} - 66q^{94} + 96q^{96} + 104q^{99} + O(q^{100}) \)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0226228 + 1.41403i −0.0159968 + 0.999872i
\(3\) −0.0769760 0.133326i −0.0444421 0.0769760i 0.842949 0.537994i \(-0.180818\pi\)
−0.887391 + 0.461018i \(0.847484\pi\)
\(4\) −1.99898 0.0639789i −0.999488 0.0319894i
\(5\) 0.159286 2.23039i 0.0712348 0.997460i
\(6\) 0.190269 0.105830i 0.0776771 0.0432050i
\(7\) −2.33880 1.23694i −0.883982 0.467520i
\(8\) 0.135691 2.82517i 0.0479739 0.998849i
\(9\) 1.48815 2.57755i 0.496050 0.859183i
\(10\) 3.15024 + 0.275693i 0.996192 + 0.0871818i
\(11\) −0.717757 1.24319i −0.216412 0.374836i 0.737297 0.675569i \(-0.236102\pi\)
−0.953708 + 0.300733i \(0.902769\pi\)
\(12\) 0.145343 + 0.271441i 0.0419569 + 0.0783583i
\(13\) 1.09056i 0.302467i −0.988498 0.151234i \(-0.951675\pi\)
0.988498 0.151234i \(-0.0483245\pi\)
\(14\) 1.80199 3.27915i 0.481601 0.876391i
\(15\) −0.309630 + 0.150449i −0.0799462 + 0.0388458i
\(16\) 3.99181 + 0.255785i 0.997953 + 0.0639461i
\(17\) 1.65673 + 2.86954i 0.401816 + 0.695965i 0.993945 0.109878i \(-0.0350459\pi\)
−0.592129 + 0.805843i \(0.701713\pi\)
\(18\) 3.61107 + 2.16260i 0.851138 + 0.509730i
\(19\) −3.25444 1.87895i −0.746621 0.431062i 0.0778508 0.996965i \(-0.475194\pi\)
−0.824472 + 0.565903i \(0.808528\pi\)
\(20\) −0.461106 + 4.44830i −0.103106 + 0.994670i
\(21\) 0.0151144 + 0.407038i 0.00329823 + 0.0888230i
\(22\) 1.77415 0.986807i 0.378250 0.210388i
\(23\) 1.01985 1.76643i 0.212654 0.368327i −0.739891 0.672727i \(-0.765123\pi\)
0.952544 + 0.304400i \(0.0984561\pi\)
\(24\) −0.387114 + 0.199379i −0.0790194 + 0.0406981i
\(25\) −4.94926 0.710538i −0.989851 0.142108i
\(26\) 1.54209 + 0.0246716i 0.302428 + 0.00483849i
\(27\) −0.920063 −0.177066
\(28\) 4.59606 + 2.62225i 0.868574 + 0.495559i
\(29\) 5.06845i 0.941187i −0.882350 0.470593i \(-0.844040\pi\)
0.882350 0.470593i \(-0.155960\pi\)
\(30\) −0.205735 0.441231i −0.0375620 0.0805574i
\(31\) 4.92434 + 8.52921i 0.884438 + 1.53189i 0.846357 + 0.532617i \(0.178791\pi\)
0.0380811 + 0.999275i \(0.487875\pi\)
\(32\) −0.451994 + 5.63877i −0.0799020 + 0.996803i
\(33\) −0.110500 + 0.191392i −0.0192356 + 0.0333170i
\(34\) −4.09510 + 2.27775i −0.702304 + 0.390631i
\(35\) −3.13140 + 5.01940i −0.529303 + 0.848433i
\(36\) −3.13968 + 5.05725i −0.523281 + 0.842875i
\(37\) 4.33672 7.51142i 0.712953 1.23487i −0.250791 0.968041i \(-0.580691\pi\)
0.963744 0.266829i \(-0.0859759\pi\)
\(38\) 2.73053 4.55938i 0.442950 0.739630i
\(39\) −0.145400 + 0.0839469i −0.0232827 + 0.0134423i
\(40\) −6.27961 0.752652i −0.992894 0.119005i
\(41\) 4.08787i 0.638418i 0.947684 + 0.319209i \(0.103417\pi\)
−0.947684 + 0.319209i \(0.896583\pi\)
\(42\) −0.575907 + 0.0121639i −0.0888644 + 0.00187692i
\(43\) 2.12207i 0.323612i −0.986823 0.161806i \(-0.948268\pi\)
0.986823 0.161806i \(-0.0517319\pi\)
\(44\) 1.35524 + 2.53103i 0.204310 + 0.381567i
\(45\) −5.51189 3.72972i −0.821665 0.555993i
\(46\) 2.47472 + 1.48206i 0.364878 + 0.218518i
\(47\) −6.16503 3.55938i −0.899262 0.519189i −0.0223012 0.999751i \(-0.507099\pi\)
−0.876961 + 0.480562i \(0.840433\pi\)
\(48\) −0.273171 0.551903i −0.0394288 0.0796603i
\(49\) 3.93995 + 5.78591i 0.562850 + 0.826559i
\(50\) 1.11669 6.98234i 0.157924 0.987451i
\(51\) 0.255057 0.441771i 0.0357151 0.0618603i
\(52\) −0.0697728 + 2.18000i −0.00967575 + 0.302312i
\(53\) 2.25393 + 3.90392i 0.309601 + 0.536245i 0.978275 0.207311i \(-0.0664711\pi\)
−0.668674 + 0.743556i \(0.733138\pi\)
\(54\) 0.0208144 1.30100i 0.00283249 0.177044i
\(55\) −2.88713 + 1.40285i −0.389300 + 0.189161i
\(56\) −3.81192 + 6.43966i −0.509390 + 0.860536i
\(57\) 0.578537i 0.0766292i
\(58\) 7.16695 + 0.114663i 0.941067 + 0.0150559i
\(59\) −6.68603 + 3.86018i −0.870447 + 0.502553i −0.867497 0.497443i \(-0.834272\pi\)
−0.00295028 + 0.999996i \(0.500939\pi\)
\(60\) 0.628570 0.280935i 0.0811480 0.0362685i
\(61\) 3.87063 6.70413i 0.495584 0.858376i −0.504403 0.863468i \(-0.668287\pi\)
0.999987 + 0.00509195i \(0.00162083\pi\)
\(62\) −12.1720 + 6.77022i −1.54584 + 0.859819i
\(63\) −6.66876 + 4.18762i −0.840185 + 0.527590i
\(64\) −7.96318 0.766699i −0.995397 0.0958374i
\(65\) −2.43237 0.173711i −0.301699 0.0215462i
\(66\) −0.268134 0.160581i −0.0330051 0.0197661i
\(67\) 11.0249 6.36523i 1.34691 0.777637i 0.359097 0.933300i \(-0.383085\pi\)
0.987810 + 0.155663i \(0.0497514\pi\)
\(68\) −3.12817 5.84213i −0.379346 0.708463i
\(69\) −0.314016 −0.0378031
\(70\) −7.02675 4.54145i −0.839857 0.542807i
\(71\) 5.09964i 0.605216i 0.953115 + 0.302608i \(0.0978573\pi\)
−0.953115 + 0.302608i \(0.902143\pi\)
\(72\) −7.08009 4.55403i −0.834397 0.536697i
\(73\) −4.82381 8.35508i −0.564584 0.977888i −0.997088 0.0762563i \(-0.975703\pi\)
0.432504 0.901632i \(-0.357630\pi\)
\(74\) 10.5233 + 6.30219i 1.22331 + 0.732615i
\(75\) 0.286240 + 0.714560i 0.0330522 + 0.0825103i
\(76\) 6.38535 + 3.96420i 0.732449 + 0.454725i
\(77\) 0.140933 + 3.79540i 0.0160608 + 0.432526i
\(78\) −0.115414 0.207500i −0.0130681 0.0234947i
\(79\) 2.80167 + 1.61754i 0.315212 + 0.181988i 0.649257 0.760570i \(-0.275080\pi\)
−0.334044 + 0.942557i \(0.608414\pi\)
\(80\) 1.20634 8.86255i 0.134873 0.990863i
\(81\) −4.39363 7.60998i −0.488181 0.845554i
\(82\) −5.78038 0.0924793i −0.638337 0.0102126i
\(83\) −8.80158 −0.966099 −0.483049 0.875593i \(-0.660471\pi\)
−0.483049 + 0.875593i \(0.660471\pi\)
\(84\) −0.00417144 0.814626i −0.000455142 0.0888830i
\(85\) 6.66407 3.23807i 0.722820 0.351218i
\(86\) 3.00067 + 0.0480072i 0.323571 + 0.00517675i
\(87\) −0.675757 + 0.390149i −0.0724488 + 0.0418283i
\(88\) −3.60962 + 1.85910i −0.384787 + 0.198180i
\(89\) 9.61481 + 5.55111i 1.01917 + 0.588417i 0.913863 0.406023i \(-0.133085\pi\)
0.105305 + 0.994440i \(0.466418\pi\)
\(90\) 5.39864 7.70962i 0.569066 0.812666i
\(91\) −1.34896 + 2.55060i −0.141409 + 0.267376i
\(92\) −2.15167 + 3.46581i −0.224327 + 0.361336i
\(93\) 0.758112 1.31309i 0.0786125 0.136161i
\(94\) 5.17255 8.63703i 0.533508 0.890841i
\(95\) −4.70918 + 6.95938i −0.483152 + 0.714018i
\(96\) 0.786589 0.373787i 0.0802809 0.0381495i
\(97\) 10.0234 1.01773 0.508863 0.860847i \(-0.330066\pi\)
0.508863 + 0.860847i \(0.330066\pi\)
\(98\) −8.27060 + 5.44032i −0.835457 + 0.549556i
\(99\) −4.27252 −0.429404
\(100\) 9.84799 + 1.73700i 0.984799 + 0.173700i
\(101\) 4.60867 + 7.98245i 0.458580 + 0.794283i 0.998886 0.0471851i \(-0.0150251\pi\)
−0.540307 + 0.841468i \(0.681692\pi\)
\(102\) 0.618908 + 0.370652i 0.0612811 + 0.0367001i
\(103\) 6.51434 + 3.76106i 0.641877 + 0.370588i 0.785337 0.619068i \(-0.212490\pi\)
−0.143460 + 0.989656i \(0.545823\pi\)
\(104\) −3.08102 0.147979i −0.302119 0.0145105i
\(105\) 0.910260 + 0.0311244i 0.0888323 + 0.00303743i
\(106\) −5.57127 + 3.09882i −0.541129 + 0.300984i
\(107\) 6.70945 + 3.87370i 0.648627 + 0.374485i 0.787930 0.615765i \(-0.211153\pi\)
−0.139303 + 0.990250i \(0.544486\pi\)
\(108\) 1.83918 + 0.0588646i 0.176976 + 0.00566425i
\(109\) −13.5605 + 7.82914i −1.29886 + 0.749895i −0.980207 0.197977i \(-0.936563\pi\)
−0.318650 + 0.947872i \(0.603230\pi\)
\(110\) −1.91837 4.11423i −0.182909 0.392276i
\(111\) −1.33529 −0.126740
\(112\) −9.01965 5.53587i −0.852277 0.523090i
\(113\) 14.7872i 1.39106i 0.718496 + 0.695532i \(0.244831\pi\)
−0.718496 + 0.695532i \(0.755169\pi\)
\(114\) −0.818071 0.0130882i −0.0766193 0.00122582i
\(115\) −3.77738 2.55603i −0.352243 0.238351i
\(116\) −0.324274 + 10.1317i −0.0301080 + 0.940705i
\(117\) −2.81097 1.62292i −0.259875 0.150039i
\(118\) −5.30717 9.54159i −0.488564 0.878375i
\(119\) −0.325302 8.76055i −0.0298204 0.803078i
\(120\) 0.383031 + 0.895173i 0.0349658 + 0.0817178i
\(121\) 4.46965 7.74166i 0.406332 0.703787i
\(122\) 9.39230 + 5.62487i 0.850339 + 0.509252i
\(123\) 0.545021 0.314668i 0.0491429 0.0283727i
\(124\) −9.29795 17.3647i −0.834981 1.55940i
\(125\) −2.37312 + 10.9256i −0.212258 + 0.977214i
\(126\) −5.77056 9.52458i −0.514082 0.848517i
\(127\) 19.1112 1.69584 0.847922 0.530121i \(-0.177853\pi\)
0.847922 + 0.530121i \(0.177853\pi\)
\(128\) 1.26429 11.2428i 0.111748 0.993737i
\(129\) −0.282927 + 0.163348i −0.0249104 + 0.0143820i
\(130\) 0.300660 3.43552i 0.0263696 0.301315i
\(131\) 10.3083 + 5.95151i 0.900641 + 0.519986i 0.877408 0.479745i \(-0.159271\pi\)
0.0232331 + 0.999730i \(0.492604\pi\)
\(132\) 0.233132 0.375518i 0.0202915 0.0326846i
\(133\) 5.28733 + 8.42005i 0.458470 + 0.730111i
\(134\) 8.75123 + 15.7336i 0.755991 + 1.35917i
\(135\) −0.146553 + 2.05210i −0.0126133 + 0.176616i
\(136\) 8.33174 4.29117i 0.714441 0.367965i
\(137\) 12.6230 7.28787i 1.07845 0.622644i 0.147973 0.988991i \(-0.452725\pi\)
0.930478 + 0.366347i \(0.119392\pi\)
\(138\) 0.00710394 0.444029i 0.000604727 0.0377983i
\(139\) 14.5711i 1.23590i −0.786216 0.617952i \(-0.787963\pi\)
0.786216 0.617952i \(-0.212037\pi\)
\(140\) 6.58072 9.83331i 0.556173 0.831067i
\(141\) 1.09595i 0.0922954i
\(142\) −7.21106 0.115368i −0.605139 0.00968150i
\(143\) −1.35578 + 0.782757i −0.113376 + 0.0654574i
\(144\) 6.59971 9.90845i 0.549976 0.825705i
\(145\) −11.3046 0.807331i −0.938796 0.0670452i
\(146\) 11.9235 6.63201i 0.986795 0.548869i
\(147\) 0.468133 0.970675i 0.0386109 0.0800599i
\(148\) −9.14958 + 14.7377i −0.752090 + 1.21143i
\(149\) 5.88956 + 3.40034i 0.482492 + 0.278567i 0.721454 0.692462i \(-0.243474\pi\)
−0.238962 + 0.971029i \(0.576807\pi\)
\(150\) −1.01689 + 0.388588i −0.0830285 + 0.0317281i
\(151\) −1.08611 + 0.627067i −0.0883865 + 0.0510300i −0.543542 0.839382i \(-0.682917\pi\)
0.455155 + 0.890412i \(0.349584\pi\)
\(152\) −5.74997 + 8.93940i −0.466384 + 0.725081i
\(153\) 9.86184 0.797282
\(154\) −5.37000 + 0.113421i −0.432727 + 0.00913973i
\(155\) 19.8078 9.62461i 1.59100 0.773067i
\(156\) 0.296023 0.158505i 0.0237008 0.0126906i
\(157\) 4.46938 2.58040i 0.356696 0.205938i −0.310935 0.950431i \(-0.600642\pi\)
0.667630 + 0.744493i \(0.267309\pi\)
\(158\) −2.35064 + 3.92506i −0.187007 + 0.312261i
\(159\) 0.346997 0.601017i 0.0275187 0.0476637i
\(160\) 12.5046 + 1.90630i 0.988579 + 0.150706i
\(161\) −4.57020 + 2.86984i −0.360182 + 0.226175i
\(162\) 10.8602 6.04057i 0.853255 0.474592i
\(163\) 8.10394 + 4.67881i 0.634750 + 0.366473i 0.782589 0.622538i \(-0.213899\pi\)
−0.147840 + 0.989011i \(0.547232\pi\)
\(164\) 0.261537 8.17156i 0.0204226 0.638092i
\(165\) 0.409277 + 0.276944i 0.0318621 + 0.0215601i
\(166\) 0.199117 12.4457i 0.0154545 0.965975i
\(167\) 4.66932i 0.361323i −0.983545 0.180661i \(-0.942176\pi\)
0.983545 0.180661i \(-0.0578238\pi\)
\(168\) 1.15200 + 0.0125306i 0.0888789 + 0.000966758i
\(169\) 11.8107 0.908514
\(170\) 4.42798 + 9.49647i 0.339610 + 0.728346i
\(171\) −9.68620 + 5.59233i −0.740722 + 0.427656i
\(172\) −0.135768 + 4.24196i −0.0103522 + 0.323447i
\(173\) −9.51191 5.49171i −0.723177 0.417527i 0.0927436 0.995690i \(-0.470436\pi\)
−0.815921 + 0.578163i \(0.803770\pi\)
\(174\) −0.536395 0.964369i −0.0406640 0.0731086i
\(175\) 10.6964 + 7.78375i 0.808573 + 0.588396i
\(176\) −2.54716 5.14618i −0.192000 0.387908i
\(177\) 1.02933 + 0.594282i 0.0773690 + 0.0446690i
\(178\) −8.06697 + 13.4701i −0.604645 + 1.00962i
\(179\) −7.19784 12.4670i −0.537992 0.931829i −0.999012 0.0444396i \(-0.985850\pi\)
0.461020 0.887390i \(-0.347484\pi\)
\(180\) 10.7795 + 7.80826i 0.803458 + 0.581993i
\(181\) −4.37036 −0.324846 −0.162423 0.986721i \(-0.551931\pi\)
−0.162423 + 0.986721i \(0.551931\pi\)
\(182\) −3.57611 1.96517i −0.265079 0.145668i
\(183\) −1.19178 −0.0880991
\(184\) −4.85209 3.12094i −0.357701 0.230079i
\(185\) −16.0626 10.8690i −1.18095 0.799107i
\(186\) 1.83960 + 1.10170i 0.134886 + 0.0807806i
\(187\) 2.37826 4.11926i 0.173915 0.301230i
\(188\) 12.0960 + 7.50955i 0.882193 + 0.547690i
\(189\) 2.15184 + 1.13806i 0.156523 + 0.0827820i
\(190\) −9.73426 6.81638i −0.706197 0.494512i
\(191\) −15.5718 8.99035i −1.12673 0.650519i −0.183621 0.982997i \(-0.558782\pi\)
−0.943111 + 0.332478i \(0.892115\pi\)
\(192\) 0.510752 + 1.12072i 0.0368604 + 0.0808809i
\(193\) −8.69658 + 5.02098i −0.625994 + 0.361418i −0.779199 0.626777i \(-0.784374\pi\)
0.153205 + 0.988194i \(0.451040\pi\)
\(194\) −0.226759 + 14.1735i −0.0162803 + 1.01760i
\(195\) 0.164074 + 0.337671i 0.0117496 + 0.0241811i
\(196\) −7.50569 11.8180i −0.536121 0.844141i
\(197\) −18.3358 −1.30637 −0.653185 0.757199i \(-0.726567\pi\)
−0.653185 + 0.757199i \(0.726567\pi\)
\(198\) 0.0966565 6.04148i 0.00686908 0.429349i
\(199\) −2.54449 4.40718i −0.180374 0.312417i 0.761634 0.648008i \(-0.224397\pi\)
−0.942008 + 0.335591i \(0.891064\pi\)
\(200\) −2.67896 + 13.8861i −0.189431 + 0.981894i
\(201\) −1.69731 0.979940i −0.119719 0.0691197i
\(202\) −11.3917 + 6.33622i −0.801517 + 0.445815i
\(203\) −6.26937 + 11.8541i −0.440024 + 0.831993i
\(204\) −0.538116 + 0.866771i −0.0376757 + 0.0606861i
\(205\) 9.11754 + 0.651140i 0.636797 + 0.0454776i
\(206\) −5.46563 + 9.12641i −0.380809 + 0.635867i
\(207\) −3.03538 5.25744i −0.210974 0.365417i
\(208\) 0.278948 4.35331i 0.0193416 0.301848i
\(209\) 5.39453i 0.373147i
\(210\) −0.0646037 + 1.28643i −0.00445808 + 0.0887723i
\(211\) 26.0225 1.79146 0.895730 0.444599i \(-0.146654\pi\)
0.895730 + 0.444599i \(0.146654\pi\)
\(212\) −4.25579 7.94806i −0.292289 0.545875i
\(213\) 0.679916 0.392550i 0.0465871 0.0268971i
\(214\) −5.62933 + 9.39974i −0.384813 + 0.642553i
\(215\) −4.73303 0.338015i −0.322790 0.0230524i
\(216\) −0.124844 + 2.59933i −0.00849456 + 0.176862i
\(217\) −0.966904 26.0392i −0.0656377 1.76766i
\(218\) −10.7639 19.3521i −0.729022 1.31069i
\(219\) −0.742635 + 1.28628i −0.0501826 + 0.0869188i
\(220\) 5.86105 2.61956i 0.395152 0.176610i
\(221\) 3.12940 1.80676i 0.210506 0.121536i
\(222\) 0.0302081 1.88815i 0.00202744 0.126724i
\(223\) 7.60644i 0.509365i −0.967025 0.254683i \(-0.918029\pi\)
0.967025 0.254683i \(-0.0819710\pi\)
\(224\) 8.03195 12.6288i 0.536657 0.843800i
\(225\) −9.19668 + 11.6996i −0.613112 + 0.779971i
\(226\) −20.9096 0.334529i −1.39089 0.0222525i
\(227\) 10.6186 + 18.3920i 0.704781 + 1.22072i 0.966770 + 0.255646i \(0.0822883\pi\)
−0.261989 + 0.965071i \(0.584378\pi\)
\(228\) 0.0370142 1.15648i 0.00245132 0.0765899i
\(229\) −11.1449 + 19.3035i −0.736476 + 1.27561i 0.217597 + 0.976039i \(0.430178\pi\)
−0.954073 + 0.299575i \(0.903155\pi\)
\(230\) 3.69977 5.28352i 0.243955 0.348385i
\(231\) 0.495178 0.310944i 0.0325803 0.0204586i
\(232\) −14.3192 0.687741i −0.940103 0.0451524i
\(233\) −17.5570 10.1365i −1.15020 0.664067i −0.201263 0.979537i \(-0.564504\pi\)
−0.948935 + 0.315470i \(0.897838\pi\)
\(234\) 2.35845 3.93809i 0.154177 0.257441i
\(235\) −8.92080 + 13.1834i −0.581929 + 0.859993i
\(236\) 13.6122 7.28865i 0.886078 0.474451i
\(237\) 0.498048i 0.0323517i
\(238\) 12.3951 0.261799i 0.803452 0.0169699i
\(239\) 28.0879i 1.81686i −0.418040 0.908429i \(-0.637283\pi\)
0.418040 0.908429i \(-0.362717\pi\)
\(240\) −1.27447 + 0.521367i −0.0822667 + 0.0336541i
\(241\) −18.8634 + 10.8908i −1.21510 + 0.701537i −0.963865 0.266389i \(-0.914169\pi\)
−0.251233 + 0.967927i \(0.580836\pi\)
\(242\) 10.8458 + 6.49537i 0.697197 + 0.417538i
\(243\) −2.05650 + 3.56196i −0.131925 + 0.228500i
\(244\) −8.16623 + 13.1538i −0.522789 + 0.842083i
\(245\) 13.5324 7.86600i 0.864554 0.502540i
\(246\) 0.432621 + 0.777796i 0.0275829 + 0.0495905i
\(247\) −2.04911 + 3.54917i −0.130382 + 0.225828i
\(248\) 24.7647 12.7548i 1.57256 0.809929i
\(249\) 0.677510 + 1.17348i 0.0429354 + 0.0743664i
\(250\) −15.3954 3.60284i −0.973693 0.227863i
\(251\) 4.96754i 0.313548i −0.987634 0.156774i \(-0.949891\pi\)
0.987634 0.156774i \(-0.0501094\pi\)
\(252\) 13.5986 7.94428i 0.856632 0.500443i
\(253\) −2.92802 −0.184083
\(254\) −0.432350 + 27.0238i −0.0271280 + 1.69563i
\(255\) −0.944693 0.639243i −0.0591590 0.0400309i
\(256\) 15.8691 + 2.04209i 0.991822 + 0.127631i
\(257\) −10.2172 + 17.6967i −0.637332 + 1.10389i 0.348684 + 0.937240i \(0.386629\pi\)
−0.986016 + 0.166651i \(0.946705\pi\)
\(258\) −0.224579 0.403764i −0.0139817 0.0251372i
\(259\) −19.4339 + 12.2034i −1.20756 + 0.758284i
\(260\) 4.85114 + 0.502864i 0.300855 + 0.0311863i
\(261\) −13.0642 7.54261i −0.808652 0.466876i
\(262\) −8.64883 + 14.4416i −0.534326 + 0.892208i
\(263\) 2.91050 + 5.04113i 0.179469 + 0.310850i 0.941699 0.336457i \(-0.109229\pi\)
−0.762230 + 0.647307i \(0.775895\pi\)
\(264\) 0.525720 + 0.338152i 0.0323559 + 0.0208118i
\(265\) 9.06628 4.40530i 0.556937 0.270616i
\(266\) −12.0258 + 7.28597i −0.737352 + 0.446732i
\(267\) 1.70921i 0.104602i
\(268\) −22.4458 + 12.0186i −1.37109 + 0.734152i
\(269\) 13.3070 + 23.0485i 0.811345 + 1.40529i 0.911923 + 0.410361i \(0.134597\pi\)
−0.100578 + 0.994929i \(0.532069\pi\)
\(270\) −2.89842 0.253655i −0.176392 0.0154369i
\(271\) 9.50169 16.4574i 0.577186 0.999716i −0.418614 0.908164i \(-0.637484\pi\)
0.995800 0.0915517i \(-0.0291827\pi\)
\(272\) 5.87937 + 11.8784i 0.356489 + 0.720235i
\(273\) 0.443900 0.0164831i 0.0268660 0.000997605i
\(274\) 10.0197 + 18.0141i 0.605313 + 1.08827i
\(275\) 2.66903 + 6.66287i 0.160948 + 0.401786i
\(276\) 0.627711 + 0.0200904i 0.0377837 + 0.00120930i
\(277\) −8.17889 14.1662i −0.491422 0.851167i 0.508529 0.861045i \(-0.330189\pi\)
−0.999951 + 0.00987713i \(0.996856\pi\)
\(278\) 20.6040 + 0.329639i 1.23575 + 0.0197705i
\(279\) 29.3126 1.75490
\(280\) 13.7558 + 9.52781i 0.822063 + 0.569396i
\(281\) −9.13648 −0.545037 −0.272518 0.962151i \(-0.587857\pi\)
−0.272518 + 0.962151i \(0.587857\pi\)
\(282\) −1.54971 0.0247934i −0.0922836 0.00147643i
\(283\) −7.92262 13.7224i −0.470951 0.815710i 0.528497 0.848935i \(-0.322756\pi\)
−0.999448 + 0.0332246i \(0.989422\pi\)
\(284\) 0.326269 10.1941i 0.0193605 0.604906i
\(285\) 1.29036 + 0.0921528i 0.0764345 + 0.00545866i
\(286\) −1.07617 1.93482i −0.0636354 0.114408i
\(287\) 5.05646 9.56071i 0.298473 0.564351i
\(288\) 13.8616 + 9.55637i 0.816801 + 0.563114i
\(289\) 3.01050 5.21434i 0.177088 0.306726i
\(290\) 1.39734 15.9668i 0.0820543 0.937603i
\(291\) −0.771564 1.33639i −0.0452299 0.0783405i
\(292\) 9.10813 + 17.0102i 0.533013 + 0.995448i
\(293\) 7.81463i 0.456536i 0.973598 + 0.228268i \(0.0733062\pi\)
−0.973598 + 0.228268i \(0.926694\pi\)
\(294\) 1.36198 + 0.683915i 0.0794320 + 0.0398867i
\(295\) 7.54471 + 15.5273i 0.439270 + 0.904035i
\(296\) −20.6326 13.2712i −1.19925 0.771373i
\(297\) 0.660381 + 1.14381i 0.0383192 + 0.0663708i
\(298\) −4.94143 + 8.25111i −0.286250 + 0.477974i
\(299\) −1.92640 1.11221i −0.111407 0.0643207i
\(300\) −0.526471 1.44670i −0.0303958 0.0835254i
\(301\) −2.62487 + 4.96309i −0.151295 + 0.286068i
\(302\) −0.862122 1.54998i −0.0496095 0.0891915i
\(303\) 0.709513 1.22891i 0.0407605 0.0705992i
\(304\) −12.5105 8.33287i −0.717528 0.477923i
\(305\) −14.3363 9.70088i −0.820893 0.555471i
\(306\) −0.223103 + 13.9450i −0.0127539 + 0.797180i
\(307\) −32.1983 −1.83765 −0.918827 0.394660i \(-0.870862\pi\)
−0.918827 + 0.394660i \(0.870862\pi\)
\(308\) −0.0388963 7.59593i −0.00221632 0.432818i
\(309\) 1.15804i 0.0658788i
\(310\) 13.1614 + 28.2266i 0.747517 + 1.60317i
\(311\) −7.85791 13.6103i −0.445581 0.771769i 0.552511 0.833505i \(-0.313670\pi\)
−0.998092 + 0.0617363i \(0.980336\pi\)
\(312\) 0.217435 + 0.422172i 0.0123098 + 0.0239008i
\(313\) 9.05719 15.6875i 0.511942 0.886710i −0.487962 0.872865i \(-0.662259\pi\)
0.999904 0.0138452i \(-0.00440721\pi\)
\(314\) 3.54766 + 6.37823i 0.200206 + 0.359944i
\(315\) 8.27777 + 15.5409i 0.466399 + 0.875633i
\(316\) −5.49698 3.41268i −0.309229 0.191978i
\(317\) 0.164486 0.284898i 0.00923844 0.0160015i −0.861369 0.507979i \(-0.830393\pi\)
0.870608 + 0.491978i \(0.163726\pi\)
\(318\) 0.842007 + 0.504262i 0.0472174 + 0.0282776i
\(319\) −6.30105 + 3.63791i −0.352791 + 0.203684i
\(320\) −2.97846 + 17.6388i −0.166501 + 0.986041i
\(321\) 1.19273i 0.0665715i
\(322\) −3.95465 6.52734i −0.220384 0.363754i
\(323\) 12.4517i 0.692829i
\(324\) 8.29588 + 15.4933i 0.460882 + 0.860737i
\(325\) −0.774884 + 5.39746i −0.0429829 + 0.299397i
\(326\) −6.79933 + 11.3534i −0.376580 + 0.628806i
\(327\) 2.08766 + 1.20531i 0.115448 + 0.0666538i
\(328\) 11.5489 + 0.554686i 0.637683 + 0.0306274i
\(329\) 10.0160 + 15.9505i 0.552200 + 0.879377i
\(330\) −0.400867 + 0.572465i −0.0220670 + 0.0315132i
\(331\) 0.366488 0.634777i 0.0201440 0.0348905i −0.855778 0.517344i \(-0.826921\pi\)
0.875922 + 0.482453i \(0.160254\pi\)
\(332\) 17.5941 + 0.563115i 0.965604 + 0.0309049i
\(333\) −12.9074 22.3562i −0.707320 1.22511i
\(334\) 6.60257 + 0.105633i 0.361277 + 0.00578000i
\(335\) −12.4408 25.6037i −0.679715 1.39888i
\(336\) −0.0437803 + 1.62869i −0.00238841 + 0.0888521i
\(337\) 26.9790i 1.46964i 0.678261 + 0.734821i \(0.262734\pi\)
−0.678261 + 0.734821i \(0.737266\pi\)
\(338\) −0.267191 + 16.7007i −0.0145333 + 0.908397i
\(339\) 1.97152 1.13826i 0.107078 0.0618218i
\(340\) −13.5285 + 6.04647i −0.733686 + 0.327916i
\(341\) 7.06896 12.2438i 0.382806 0.663039i
\(342\) −7.68861 13.8231i −0.415752 0.747469i
\(343\) −2.05791 18.4056i −0.111117 0.993807i
\(344\) −5.99520 0.287945i −0.323240 0.0155250i
\(345\) −0.0500183 + 0.700378i −0.00269289 + 0.0377071i
\(346\) 7.98064 13.3259i 0.429042 0.716406i
\(347\) 19.5162 11.2677i 1.04768 0.604880i 0.125684 0.992070i \(-0.459888\pi\)
0.922000 + 0.387190i \(0.126554\pi\)
\(348\) 1.37578 0.736664i 0.0737498 0.0394893i
\(349\) 2.28183 0.122144 0.0610718 0.998133i \(-0.480548\pi\)
0.0610718 + 0.998133i \(0.480548\pi\)
\(350\) −11.2485 + 14.9490i −0.601255 + 0.799057i
\(351\) 1.00338i 0.0535567i
\(352\) 7.33449 3.48535i 0.390930 0.185770i
\(353\) 4.34760 + 7.53026i 0.231399 + 0.400796i 0.958220 0.286032i \(-0.0923362\pi\)
−0.726821 + 0.686827i \(0.759003\pi\)
\(354\) −0.863621 + 1.44206i −0.0459009 + 0.0766445i
\(355\) 11.3742 + 0.812300i 0.603679 + 0.0431124i
\(356\) −18.8646 11.7117i −0.999823 0.620718i
\(357\) −1.14297 + 0.717723i −0.0604924 + 0.0379859i
\(358\) 17.7916 9.89594i 0.940316 0.523017i
\(359\) −9.45940 5.46139i −0.499248 0.288241i 0.229155 0.973390i \(-0.426404\pi\)
−0.728403 + 0.685149i \(0.759737\pi\)
\(360\) −11.2850 + 15.0660i −0.594772 + 0.794046i
\(361\) −2.43906 4.22457i −0.128372 0.222346i
\(362\) 0.0988700 6.17983i 0.00519649 0.324805i
\(363\) −1.37622 −0.0722330
\(364\) 2.85972 5.01228i 0.149890 0.262715i
\(365\) −19.4034 + 9.42812i −1.01562 + 0.493490i
\(366\) 0.0269615 1.68522i 0.00140930 0.0880879i
\(367\) −12.2452 + 7.06978i −0.639196 + 0.369040i −0.784305 0.620376i \(-0.786980\pi\)
0.145109 + 0.989416i \(0.453647\pi\)
\(368\) 4.52288 6.79041i 0.235772 0.353975i
\(369\) 10.5367 + 6.08336i 0.548519 + 0.316687i
\(370\) 15.7325 22.4672i 0.817896 1.16801i
\(371\) −0.442564 11.9185i −0.0229768 0.618776i
\(372\) −1.59946 + 2.57633i −0.0829280 + 0.133576i
\(373\) −7.21065 + 12.4892i −0.373353 + 0.646667i −0.990079 0.140511i \(-0.955125\pi\)
0.616726 + 0.787178i \(0.288459\pi\)
\(374\) 5.77097 + 3.45612i 0.298410 + 0.178712i
\(375\) 1.63934 0.524608i 0.0846552 0.0270906i
\(376\) −10.8924 + 16.9343i −0.561732 + 0.873319i
\(377\) −5.52745 −0.284678
\(378\) −1.65794 + 3.01703i −0.0852753 + 0.155179i
\(379\) −7.92505 −0.407083 −0.203541 0.979066i \(-0.565245\pi\)
−0.203541 + 0.979066i \(0.565245\pi\)
\(380\) 9.85880 13.6104i 0.505746 0.698196i
\(381\) −1.47110 2.54802i −0.0753669 0.130539i
\(382\) 13.0649 21.8156i 0.668460 1.11618i
\(383\) 19.9807 + 11.5359i 1.02097 + 0.589456i 0.914384 0.404848i \(-0.132676\pi\)
0.106583 + 0.994304i \(0.466009\pi\)
\(384\) −1.59629 + 0.696866i −0.0814602 + 0.0355618i
\(385\) 8.48765 + 0.290218i 0.432571 + 0.0147909i
\(386\) −6.90308 12.4108i −0.351358 0.631695i
\(387\) −5.46974 3.15795i −0.278042 0.160528i
\(388\) −20.0366 0.641288i −1.01721 0.0325565i
\(389\) 12.8952 7.44505i 0.653813 0.377479i −0.136102 0.990695i \(-0.543458\pi\)
0.789916 + 0.613216i \(0.210124\pi\)
\(390\) −0.481189 + 0.224367i −0.0243660 + 0.0113613i
\(391\) 6.75847 0.341790
\(392\) 16.8808 10.3459i 0.852609 0.522549i
\(393\) 1.83249i 0.0924370i
\(394\) 0.414807 25.9274i 0.0208977 1.30620i
\(395\) 4.05401 5.99115i 0.203980 0.301448i
\(396\) 8.54066 + 0.273351i 0.429184 + 0.0137364i
\(397\) 31.0960 + 17.9533i 1.56066 + 0.901049i 0.997190 + 0.0749137i \(0.0238681\pi\)
0.563472 + 0.826135i \(0.309465\pi\)
\(398\) 6.28947 3.49829i 0.315262 0.175353i
\(399\) 0.715617 1.35308i 0.0358257 0.0677388i
\(400\) −19.5748 4.10228i −0.978738 0.205114i
\(401\) 2.44122 4.22832i 0.121909 0.211152i −0.798612 0.601847i \(-0.794432\pi\)
0.920520 + 0.390694i \(0.127765\pi\)
\(402\) 1.42407 2.37788i 0.0710259 0.118598i
\(403\) 9.30162 5.37029i 0.463347 0.267513i
\(404\) −8.70191 16.2516i −0.432936 0.808546i
\(405\) −17.6731 + 8.58733i −0.878181 + 0.426708i
\(406\) −16.6202 9.13327i −0.824847 0.453277i
\(407\) −12.4508 −0.617166
\(408\) −1.21347 0.780522i −0.0600757 0.0386416i
\(409\) 21.8076 12.5906i 1.07832 0.622567i 0.147875 0.989006i \(-0.452757\pi\)
0.930442 + 0.366439i \(0.119423\pi\)
\(410\) −1.12700 + 12.8778i −0.0556584 + 0.635988i
\(411\) −1.94333 1.12198i −0.0958573 0.0553432i
\(412\) −12.7814 7.93505i −0.629694 0.390932i
\(413\) 20.4121 0.757954i 1.00441 0.0372965i
\(414\) 7.50285 4.17319i 0.368745 0.205101i
\(415\) −1.40197 + 19.6309i −0.0688198 + 0.963644i
\(416\) 6.14942 + 0.492927i 0.301500 + 0.0241677i
\(417\) −1.94271 + 1.12162i −0.0951349 + 0.0549261i
\(418\) −7.62804 0.122040i −0.373100 0.00596915i
\(419\) 19.8387i 0.969184i −0.874740 0.484592i \(-0.838968\pi\)
0.874740 0.484592i \(-0.161032\pi\)
\(420\) −1.81760 0.120454i −0.0886897 0.00587758i
\(421\) 15.1350i 0.737633i −0.929502 0.368816i \(-0.879763\pi\)
0.929502 0.368816i \(-0.120237\pi\)
\(422\) −0.588702 + 36.7966i −0.0286576 + 1.79123i
\(423\) −18.3490 + 10.5938i −0.892157 + 0.515087i
\(424\) 11.3351 5.83802i 0.550481 0.283519i
\(425\) −6.16066 15.3792i −0.298836 0.746003i
\(426\) 0.539697 + 0.970304i 0.0261484 + 0.0470114i
\(427\) −17.3452 + 10.8919i −0.839395 + 0.527094i
\(428\) −13.1642 8.17270i −0.636315 0.395042i
\(429\) 0.208724 + 0.120507i 0.0100773 + 0.00581813i
\(430\) 0.585039 6.68502i 0.0282131 0.322380i
\(431\) −6.91977 + 3.99513i −0.333314 + 0.192439i −0.657311 0.753619i \(-0.728306\pi\)
0.323998 + 0.946058i \(0.394973\pi\)
\(432\) −3.67272 0.235338i −0.176704 0.0113227i
\(433\) 23.8710 1.14717 0.573583 0.819148i \(-0.305553\pi\)
0.573583 + 0.819148i \(0.305553\pi\)
\(434\) 36.8422 0.778152i 1.76848 0.0373525i
\(435\) 0.762544 + 1.56935i 0.0365612 + 0.0752444i
\(436\) 27.6079 14.7827i 1.32218 0.707962i
\(437\) −6.63810 + 3.83251i −0.317543 + 0.183334i
\(438\) −1.80204 1.07921i −0.0861049 0.0515666i
\(439\) −6.02272 + 10.4317i −0.287449 + 0.497876i −0.973200 0.229960i \(-0.926140\pi\)
0.685751 + 0.727836i \(0.259474\pi\)
\(440\) 3.57154 + 8.34698i 0.170267 + 0.397927i
\(441\) 20.7767 1.54512i 0.989367 0.0735770i
\(442\) 2.48402 + 4.46595i 0.118153 + 0.212424i
\(443\) 31.0474 + 17.9252i 1.47511 + 0.851653i 0.999606 0.0280632i \(-0.00893396\pi\)
0.475500 + 0.879716i \(0.342267\pi\)
\(444\) 2.66922 + 0.0854306i 0.126676 + 0.00405436i
\(445\) 13.9126 20.5605i 0.659522 0.974663i
\(446\) 10.7558 + 0.172079i 0.509300 + 0.00814819i
\(447\) 1.04698i 0.0495204i
\(448\) 17.6759 + 11.6431i 0.835108 + 0.550087i
\(449\) −25.0673 −1.18300 −0.591500 0.806305i \(-0.701464\pi\)
−0.591500 + 0.806305i \(0.701464\pi\)
\(450\) −16.3355 13.2691i −0.770064 0.625511i
\(451\) 5.08201 2.93410i 0.239302 0.138161i
\(452\) 0.946069 29.5593i 0.0444993 1.39035i
\(453\) 0.167209 + 0.0965381i 0.00785616 + 0.00453576i
\(454\) −26.2471 + 14.5990i −1.23184 + 0.685164i
\(455\) 5.47396 + 3.41498i 0.256623 + 0.160097i
\(456\) 1.63447 + 0.0785022i 0.0765409 + 0.00367620i
\(457\) −26.1083 15.0736i −1.22129 0.705115i −0.256100 0.966650i \(-0.582438\pi\)
−0.965194 + 0.261536i \(0.915771\pi\)
\(458\) −27.0437 16.1960i −1.26367 0.756787i
\(459\) −1.52429 2.64016i −0.0711480 0.123232i
\(460\) 7.38737 + 5.35112i 0.344438 + 0.249497i
\(461\) −6.48585 −0.302076 −0.151038 0.988528i \(-0.548262\pi\)
−0.151038 + 0.988528i \(0.548262\pi\)
\(462\) 0.428483 + 0.707232i 0.0199348 + 0.0329034i
\(463\) 10.1847 0.473324 0.236662 0.971592i \(-0.423947\pi\)
0.236662 + 0.971592i \(0.423947\pi\)
\(464\) 1.29643 20.2323i 0.0601853 0.939261i
\(465\) −2.80794 1.90004i −0.130215 0.0881122i
\(466\) 14.7306 24.5969i 0.682382 1.13943i
\(467\) −0.928318 + 1.60789i −0.0429574 + 0.0744045i −0.886705 0.462336i \(-0.847011\pi\)
0.843747 + 0.536741i \(0.180345\pi\)
\(468\) 5.51524 + 3.42402i 0.254942 + 0.158275i
\(469\) −33.6585 + 1.24983i −1.55420 + 0.0577116i
\(470\) −18.4400 12.9125i −0.850574 0.595611i
\(471\) −0.688070 0.397258i −0.0317046 0.0183047i
\(472\) 9.99844 + 19.4130i 0.460215 + 0.893554i
\(473\) −2.63814 + 1.52313i −0.121302 + 0.0700335i
\(474\) 0.704256 + 0.0112673i 0.0323475 + 0.000517522i
\(475\) 14.7720 + 11.6118i 0.677786 + 0.532787i
\(476\) 0.0897806 + 17.5329i 0.00411509 + 0.803621i
\(477\) 13.4167 0.614311
\(478\) 39.7173 + 0.635429i 1.81662 + 0.0290638i
\(479\) 11.3522 + 19.6626i 0.518696 + 0.898408i 0.999764 + 0.0217249i \(0.00691580\pi\)
−0.481068 + 0.876683i \(0.659751\pi\)
\(480\) −0.708397 1.81394i −0.0323338 0.0827945i
\(481\) −8.19166 4.72946i −0.373507 0.215645i
\(482\) −14.9732 26.9198i −0.682010 1.22617i
\(483\) 0.734420 + 0.388420i 0.0334173 + 0.0176737i
\(484\) −9.43003 + 15.1894i −0.428638 + 0.690429i
\(485\) 1.59659 22.3562i 0.0724975 1.01514i
\(486\) −4.99021 2.98854i −0.226361 0.135563i
\(487\) 3.97228 + 6.88019i 0.180001 + 0.311771i 0.941881 0.335948i \(-0.109056\pi\)
−0.761879 + 0.647719i \(0.775723\pi\)
\(488\) −18.4151 11.8449i −0.833613 0.536193i
\(489\) 1.44062i 0.0651473i
\(490\) 10.8166 + 19.3132i 0.488646 + 0.872482i
\(491\) −17.3407 −0.782574 −0.391287 0.920269i \(-0.627970\pi\)
−0.391287 + 0.920269i \(0.627970\pi\)
\(492\) −1.10962 + 0.594144i −0.0500253 + 0.0267861i
\(493\) 14.5441 8.39704i 0.655033 0.378184i
\(494\) −4.97228 2.97781i −0.223714 0.133978i
\(495\) −0.680551 + 9.52937i −0.0305885 + 0.428313i
\(496\) 17.4754 + 35.3066i 0.784669 + 1.58531i
\(497\) 6.30796 11.9270i 0.282951 0.535000i
\(498\) −1.67467 + 0.931474i −0.0750437 + 0.0417403i
\(499\) −6.19114 + 10.7234i −0.277153 + 0.480044i −0.970676 0.240391i \(-0.922724\pi\)
0.693523 + 0.720435i \(0.256058\pi\)
\(500\) 5.44282 21.6881i 0.243410 0.969923i
\(501\) −0.622543 + 0.359426i −0.0278132 + 0.0160579i
\(502\) 7.02426 + 0.112380i 0.313508 + 0.00501576i
\(503\) 5.54215i 0.247112i 0.992338 + 0.123556i \(0.0394299\pi\)
−0.992338 + 0.123556i \(0.960570\pi\)
\(504\) 10.9258 + 19.4086i 0.486675 + 0.864528i
\(505\) 18.5380 9.00762i 0.824932 0.400834i
\(506\) 0.0662402 4.14032i 0.00294473 0.184060i
\(507\) −0.909138 1.57467i −0.0403763 0.0699337i
\(508\) −38.2028 1.22271i −1.69498 0.0542491i
\(509\) −6.65860 + 11.5330i −0.295137 + 0.511193i −0.975017 0.222131i \(-0.928699\pi\)
0.679880 + 0.733324i \(0.262032\pi\)
\(510\) 0.925282 1.32137i 0.0409722 0.0585111i
\(511\) 0.947164 + 25.5076i 0.0419001 + 1.12839i
\(512\) −3.24658 + 22.3933i −0.143480 + 0.989653i
\(513\) 2.99429 + 1.72876i 0.132201 + 0.0763265i
\(514\) −24.7926 14.8478i −1.09356 0.654909i
\(515\) 9.42626 13.9304i 0.415371 0.613848i
\(516\) 0.576016 0.308428i 0.0253577 0.0135778i
\(517\) 10.2191i 0.449435i
\(518\) −16.8164 27.7563i −0.738870 1.21954i
\(519\) 1.69092i 0.0742230i
\(520\) −0.820813 + 6.84829i −0.0359950 + 0.300318i
\(521\) 11.1481 6.43636i 0.488407 0.281982i −0.235506 0.971873i \(-0.575675\pi\)
0.723913 + 0.689891i \(0.242342\pi\)
\(522\) 10.9610 18.3025i 0.479752 0.801080i
\(523\) 0.486030 0.841829i 0.0212526 0.0368106i −0.855203 0.518292i \(-0.826568\pi\)
0.876456 + 0.481482i \(0.159901\pi\)
\(524\) −20.2253 12.5564i −0.883546 0.548530i
\(525\) 0.214411 2.02527i 0.00935766 0.0883902i
\(526\) −7.19417 + 4.00150i −0.313681 + 0.174474i
\(527\) −16.3166 + 28.2612i −0.710762 + 1.23108i
\(528\) −0.490051 + 0.735736i −0.0213267 + 0.0320188i
\(529\) 9.41981 + 16.3156i 0.409557 + 0.709373i
\(530\) 6.02414 + 12.9197i 0.261672 + 0.561195i
\(531\) 22.9781i 0.997165i
\(532\) −10.0305 17.1698i −0.434879 0.744404i
\(533\) 4.45807 0.193101
\(534\) 2.41688 + 0.0386672i 0.104589 + 0.00167329i
\(535\) 9.70857 14.3476i 0.419738 0.620302i
\(536\) −16.4869 32.0110i −0.712125 1.38266i
\(537\) −1.10812 + 1.91932i −0.0478190 + 0.0828249i
\(538\) −32.8923 + 18.2952i −1.41809 + 0.788761i
\(539\) 4.36507 9.05099i 0.188017 0.389854i
\(540\) 0.424247 4.09272i 0.0182567 0.176122i
\(541\) 1.15477 + 0.666704i 0.0496472 + 0.0286638i 0.524618 0.851338i \(-0.324208\pi\)
−0.474971 + 0.880001i \(0.657541\pi\)
\(542\) 23.0563 + 13.8080i 0.990355 + 0.593105i
\(543\) 0.336413 + 0.582684i 0.0144369 + 0.0250054i
\(544\) −16.9295 + 8.04489i −0.725846 + 0.344922i
\(545\) 15.3020 + 31.4922i 0.655467 + 1.34898i
\(546\) 0.0132654 + 0.628061i 0.000567708 + 0.0268785i
\(547\) 16.3516i 0.699145i −0.936909 0.349572i \(-0.886327\pi\)
0.936909 0.349572i \(-0.113673\pi\)
\(548\) −25.6993 + 13.7607i −1.09782 + 0.587827i
\(549\) −11.5202 19.9535i −0.491668 0.851595i
\(550\) −9.48189 + 3.62336i −0.404309 + 0.154501i
\(551\) −9.52338 + 16.4950i −0.405710 + 0.702710i
\(552\) −0.0426091 + 0.887149i −0.00181356 + 0.0377596i
\(553\) −4.55173 7.24861i −0.193559 0.308242i
\(554\) 20.2166 11.2447i 0.858920 0.477743i
\(555\) −0.212693 + 2.97822i −0.00902832 + 0.126418i
\(556\) −0.932242 + 29.1273i −0.0395359 + 1.23527i
\(557\) 15.5495 + 26.9325i 0.658854 + 1.14117i 0.980913 + 0.194449i \(0.0622918\pi\)
−0.322059 + 0.946720i \(0.604375\pi\)
\(558\) −0.663135 + 41.4490i −0.0280727 + 1.75468i
\(559\) −2.31424 −0.0978820
\(560\) −13.7838 + 19.2355i −0.582473 + 0.812850i
\(561\) −0.732274 −0.0309167
\(562\) 0.206693 12.9193i 0.00871882 0.544967i
\(563\) 3.32761 + 5.76359i 0.140242 + 0.242906i 0.927588 0.373606i \(-0.121879\pi\)
−0.787346 + 0.616512i \(0.788545\pi\)
\(564\) 0.0701175 2.19077i 0.00295248 0.0922482i
\(565\) 32.9812 + 2.35539i 1.38753 + 0.0990920i
\(566\) 19.5831 10.8924i 0.823140 0.457842i
\(567\) 0.862697 + 23.2329i 0.0362298 + 0.975689i
\(568\) 14.4074 + 0.691974i 0.604519 + 0.0290346i
\(569\) 2.06702 3.58018i 0.0866540 0.150089i −0.819441 0.573164i \(-0.805716\pi\)
0.906095 + 0.423075i \(0.139049\pi\)
\(570\) −0.159499 + 1.82253i −0.00668066 + 0.0763374i
\(571\) 15.1266 + 26.2001i 0.633030 + 1.09644i 0.986929 + 0.161156i \(0.0515223\pi\)
−0.353899 + 0.935284i \(0.615144\pi\)
\(572\) 2.76024 1.47797i 0.115412 0.0617971i
\(573\) 2.76817i 0.115642i
\(574\) 13.4048 + 7.36629i 0.559504 + 0.307463i
\(575\) −6.30262 + 8.01789i −0.262838 + 0.334369i
\(576\) −13.8266 + 19.3845i −0.576108 + 0.807689i
\(577\) 10.8896 + 18.8613i 0.453340 + 0.785208i 0.998591 0.0530650i \(-0.0168991\pi\)
−0.545251 + 0.838273i \(0.683566\pi\)
\(578\) 7.30514 + 4.37491i 0.303854 + 0.181972i
\(579\) 1.33886 + 0.772989i 0.0556410 + 0.0321243i
\(580\) 22.5460 + 2.33709i 0.936171 + 0.0970425i
\(581\) 20.5851 + 10.8870i 0.854014 + 0.451670i
\(582\) 1.90715 1.06078i 0.0790540 0.0439709i
\(583\) 3.23555 5.60414i 0.134003 0.232100i
\(584\) −24.2591 + 12.4944i −1.00385 + 0.517021i
\(585\) −4.06748 + 6.01105i −0.168170 + 0.248526i
\(586\) −11.0501 0.176789i −0.456477 0.00730309i
\(587\) −29.3485 −1.21134 −0.605671 0.795715i \(-0.707095\pi\)
−0.605671 + 0.795715i \(0.707095\pi\)
\(588\) −0.997889 + 1.91041i −0.0411523 + 0.0787838i
\(589\) 37.0105i 1.52499i
\(590\) −22.1268 + 10.3172i −0.910946 + 0.424752i
\(591\) 1.41141 + 2.44464i 0.0580578 + 0.100559i
\(592\) 19.2327 28.8749i 0.790459 1.18675i
\(593\) −9.38410 + 16.2537i −0.385359 + 0.667461i −0.991819 0.127653i \(-0.959256\pi\)
0.606460 + 0.795114i \(0.292589\pi\)
\(594\) −1.63233 + 0.907925i −0.0669753 + 0.0372526i
\(595\) −19.5912 0.669881i −0.803162 0.0274625i
\(596\) −11.5556 7.17401i −0.473334 0.293859i
\(597\) −0.391729 + 0.678495i −0.0160324 + 0.0277689i
\(598\) 1.61628 2.69883i 0.0660946 0.110364i
\(599\) 0.724292 0.418170i 0.0295938 0.0170860i −0.485130 0.874442i \(-0.661228\pi\)
0.514724 + 0.857356i \(0.327894\pi\)
\(600\) 2.05759 0.711719i 0.0840010 0.0290558i
\(601\) 19.1094i 0.779488i 0.920923 + 0.389744i \(0.127436\pi\)
−0.920923 + 0.389744i \(0.872564\pi\)
\(602\) −6.95858 3.82394i −0.283611 0.155852i
\(603\) 37.8897i 1.54299i
\(604\) 2.21123 1.18400i 0.0899737 0.0481764i
\(605\) −16.5550 11.2022i −0.673055 0.455434i
\(606\) 1.72167 + 1.03108i 0.0699381 + 0.0418846i
\(607\) 2.44461 + 1.41140i 0.0992237 + 0.0572868i 0.548791 0.835960i \(-0.315088\pi\)
−0.449567 + 0.893247i \(0.648422\pi\)
\(608\) 12.0660 17.5018i 0.489340 0.709791i
\(609\) 2.06305 0.0766064i 0.0835990 0.00310425i
\(610\) 14.0417 20.0525i 0.568532 0.811902i
\(611\) −3.88172 + 6.72334i −0.157038 + 0.271997i
\(612\) −19.7136 0.630949i −0.796874 0.0255046i
\(613\) −1.09983 1.90496i −0.0444218 0.0769408i 0.842960 0.537977i \(-0.180811\pi\)
−0.887381 + 0.461036i \(0.847478\pi\)
\(614\) 0.728417 45.5295i 0.0293965 1.83742i
\(615\) −0.615017 1.26573i −0.0247999 0.0510392i
\(616\) 10.7418 + 0.116841i 0.432798 + 0.00470765i
\(617\) 5.71433i 0.230050i −0.993363 0.115025i \(-0.963305\pi\)
0.993363 0.115025i \(-0.0366949\pi\)
\(618\) 1.63751 + 0.0261983i 0.0658704 + 0.00105385i
\(619\) −11.3244 + 6.53816i −0.455167 + 0.262791i −0.710010 0.704192i \(-0.751310\pi\)
0.254843 + 0.966982i \(0.417976\pi\)
\(620\) −40.2111 + 17.9721i −1.61492 + 0.721776i
\(621\) −0.938327 + 1.62523i −0.0376538 + 0.0652182i
\(622\) 19.4232 10.8034i 0.778798 0.433178i
\(623\) −15.6207 24.8759i −0.625830 0.996631i
\(624\) −0.601883 + 0.297909i −0.0240946 + 0.0119259i
\(625\) 23.9903 + 7.03327i 0.959611 + 0.281331i
\(626\) 21.9777 + 13.1621i 0.878407 + 0.526061i
\(627\) 0.719233 0.415249i 0.0287234 0.0165835i
\(628\) −9.09929 + 4.87221i −0.363101 + 0.194422i
\(629\) 28.7391 1.14590
\(630\) −22.1627 + 11.3534i −0.882982 + 0.452332i
\(631\) 39.1013i 1.55660i 0.627893 + 0.778300i \(0.283918\pi\)
−0.627893 + 0.778300i \(0.716082\pi\)
\(632\) 4.95000 7.69570i 0.196900 0.306119i
\(633\) −2.00310 3.46948i −0.0796162 0.137899i
\(634\) 0.399134 + 0.239033i 0.0158516 + 0.00949323i
\(635\) 3.04414 42.6254i 0.120803 1.69154i
\(636\) −0.732092 + 1.17922i −0.0290293 + 0.0467590i
\(637\) 6.30989 4.29675i 0.250007 0.170244i
\(638\) −5.00158 8.99219i −0.198014 0.356004i
\(639\) 13.1446 + 7.58903i 0.519992 + 0.300217i
\(640\) −24.8745 4.61068i −0.983252 0.182253i
\(641\) 3.00306 + 5.20146i 0.118614 + 0.205445i 0.919219 0.393748i \(-0.128822\pi\)
−0.800605 + 0.599193i \(0.795488\pi\)
\(642\) 1.68656 + 0.0269829i 0.0665630 + 0.00106493i
\(643\) −7.80386 −0.307754 −0.153877 0.988090i \(-0.549176\pi\)
−0.153877 + 0.988090i \(0.549176\pi\)
\(644\) 9.31933 5.44434i 0.367233 0.214537i
\(645\) 0.319263 + 0.657057i 0.0125710 + 0.0258716i
\(646\) 17.6071 + 0.281692i 0.692741 + 0.0110830i
\(647\) 31.5546 18.2181i 1.24054 0.716226i 0.271336 0.962485i \(-0.412535\pi\)
0.969204 + 0.246259i \(0.0792013\pi\)
\(648\) −22.0957 + 11.3801i −0.868000 + 0.447054i
\(649\) 9.59789 + 5.54134i 0.376750 + 0.217517i
\(650\) −7.61466 1.21782i −0.298671 0.0477667i
\(651\) −3.39728 + 2.13331i −0.133150 + 0.0836109i
\(652\) −15.9002 9.87132i −0.622702 0.386591i
\(653\) −13.3970 + 23.2044i −0.524267 + 0.908057i 0.475334 + 0.879805i \(0.342327\pi\)
−0.999601 + 0.0282515i \(0.991006\pi\)
\(654\) −1.75158 + 2.92475i −0.0684921 + 0.114367i
\(655\) 14.9161 22.0435i 0.582821 0.861312i
\(656\) −1.04561 + 16.3180i −0.0408244 + 0.637112i
\(657\) −28.7142 −1.12025
\(658\) −22.7811 + 13.8021i −0.888098 + 0.538063i
\(659\) −17.4318 −0.679047 −0.339524 0.940597i \(-0.610266\pi\)
−0.339524 + 0.940597i \(0.610266\pi\)
\(660\) −0.800416 0.579789i −0.0311561 0.0225683i
\(661\) −8.06543 13.9697i −0.313709 0.543360i 0.665453 0.746439i \(-0.268238\pi\)
−0.979162 + 0.203080i \(0.934905\pi\)
\(662\) 0.889304 + 0.532587i 0.0345638 + 0.0206996i
\(663\) −0.481778 0.278155i −0.0187107 0.0108026i
\(664\) −1.19429 + 24.8660i −0.0463475 + 0.964986i
\(665\) 19.6222 10.4516i 0.760915 0.405296i
\(666\) 31.9044 17.7457i 1.23627 0.687632i
\(667\) −8.95308 5.16906i −0.346665 0.200147i
\(668\) −0.298738 + 9.33386i −0.0115585 + 0.361138i
\(669\) −1.01414 + 0.585513i −0.0392089 + 0.0226372i
\(670\) 36.4859 17.0125i 1.40957 0.657251i
\(671\) −11.1127 −0.429001
\(672\) −2.30202 0.0987522i −0.0888025 0.00380945i
\(673\) 18.9217i 0.729376i 0.931130 + 0.364688i \(0.118824\pi\)
−0.931130 + 0.364688i \(0.881176\pi\)
\(674\) −38.1492 0.610343i −1.46945 0.0235095i
\(675\) 4.55363 + 0.653739i 0.175269 + 0.0251624i
\(676\) −23.6093 0.755634i −0.908049 0.0290628i
\(677\) −22.4272 12.9483i −0.861947 0.497645i 0.00271669 0.999996i \(-0.499135\pi\)
−0.864664 + 0.502351i \(0.832469\pi\)
\(678\) 1.56493 + 2.81355i 0.0601009 + 0.108054i
\(679\) −23.4428 12.3984i −0.899652 0.475807i
\(680\) −8.24385 19.2665i −0.316137 0.738837i
\(681\) 1.63475 2.83148i 0.0626439 0.108502i
\(682\) 17.1532 + 10.2727i 0.656830 + 0.393363i
\(683\) −41.4706 + 23.9431i −1.58683 + 0.916157i −0.593005 + 0.805199i \(0.702058\pi\)
−0.993825 + 0.110957i \(0.964608\pi\)
\(684\) 19.7203 10.5592i 0.754024 0.403742i
\(685\) −14.2441 29.3149i −0.544239 1.12007i
\(686\) 26.0726 2.49356i 0.995458 0.0952047i
\(687\) 3.43156 0.130922
\(688\) 0.542792 8.47090i 0.0206938 0.322950i
\(689\) 4.25747 2.45805i 0.162197 0.0936442i
\(690\) −0.989225 0.0865720i −0.0376592 0.00329574i
\(691\) −20.6242 11.9074i −0.784581 0.452978i 0.0534703 0.998569i \(-0.482972\pi\)
−0.838051 + 0.545591i \(0.816305\pi\)
\(692\) 18.6627 + 11.5864i 0.709451 + 0.440447i
\(693\) 9.99256 + 5.28486i 0.379586 + 0.200755i
\(694\) 15.4913 + 27.8514i 0.588044 + 1.05723i
\(695\) −32.4992 2.32097i −1.23276 0.0880393i
\(696\) 1.01054 + 1.96207i 0.0383045 + 0.0743720i
\(697\) −11.7303 + 6.77249i −0.444317 + 0.256527i
\(698\) −0.0516215 + 3.22658i −0.00195390 + 0.122128i
\(699\) 3.12108i 0.118050i
\(700\) −20.8839 16.2439i −0.789337 0.613961i
\(701\) 19.4072i 0.733001i 0.930418 + 0.366501i \(0.119444\pi\)
−0.930418 + 0.366501i \(0.880556\pi\)
\(702\) −1.41882 0.0226994i −0.0535498 0.000856734i
\(703\) −28.2272 + 16.2970i −1.06461 + 0.614653i
\(704\) 4.76247 + 10.4501i 0.179492 + 0.393851i
\(705\) 2.44439 + 0.174569i 0.0920609 + 0.00657464i
\(706\) −10.7464 + 5.97729i −0.404446 + 0.224958i
\(707\) −0.904920 24.3700i −0.0340330 0.916527i
\(708\) −2.01958 1.25381i −0.0759005 0.0471211i
\(709\) 9.70905 + 5.60552i 0.364631 + 0.210520i 0.671110 0.741357i \(-0.265818\pi\)
−0.306479 + 0.951877i \(0.599151\pi\)
\(710\) −1.40594 + 16.0651i −0.0527638 + 0.602912i
\(711\) 8.33860 4.81429i 0.312722 0.180550i
\(712\) 16.9875 26.4102i 0.636633 0.989765i
\(713\) 20.0884 0.752316
\(714\) −0.989026 1.63243i −0.0370134 0.0610923i
\(715\) 1.52990 + 3.14859i 0.0572149 + 0.117750i
\(716\) 13.5907 + 25.3818i 0.507908 + 0.948562i
\(717\) −3.74486 + 2.16210i −0.139854 + 0.0807450i
\(718\) 7.93658 13.2523i 0.296190 0.494573i
\(719\) −15.1911 + 26.3118i −0.566534 + 0.981265i 0.430371 + 0.902652i \(0.358383\pi\)
−0.996905 + 0.0786133i \(0.974951\pi\)
\(720\) −21.0485 16.2982i −0.784429 0.607398i
\(721\) −10.5835 16.8542i −0.394151 0.627684i
\(722\) 6.02886 3.35334i 0.224371 0.124798i
\(723\) 2.90406 + 1.67666i 0.108003 + 0.0623556i
\(724\) 8.73625 + 0.279611i 0.324680 + 0.0103917i
\(725\) −3.60132 + 25.0850i −0.133750 + 0.931635i
\(726\) 0.0311341 1.94602i 0.00115549 0.0722237i
\(727\) 5.27724i 0.195722i −0.995200 0.0978611i \(-0.968800\pi\)
0.995200 0.0978611i \(-0.0312001\pi\)
\(728\) 7.02284 + 4.15713i 0.260284 + 0.154074i
\(729\) −25.7285 −0.952909
\(730\) −12.8927 27.6504i −0.477180 1.02339i
\(731\) 6.08935 3.51569i 0.225223 0.130032i
\(732\) 2.38235 + 0.0762489i 0.0880540 + 0.00281824i
\(733\) −43.5098 25.1204i −1.60707 0.927843i −0.990021 0.140920i \(-0.954994\pi\)
−0.617051 0.786923i \(-0.711673\pi\)
\(734\) −9.71988 17.4751i −0.358767 0.645017i
\(735\) −2.09041 1.19873i −0.0771061 0.0442159i
\(736\) 9.49954 + 6.54912i 0.350158 + 0.241404i
\(737\) −15.8264 9.13738i −0.582973 0.336580i
\(738\) −8.84045 + 14.7616i −0.325421 + 0.543382i
\(739\) 16.0613 + 27.8190i 0.590825 + 1.02334i 0.994122 + 0.108270i \(0.0345310\pi\)
−0.403296 + 0.915069i \(0.632136\pi\)
\(740\) 31.4134 + 22.7546i 1.15478 + 0.836476i
\(741\) 0.630930 0.0231778
\(742\) 16.8631 0.356170i 0.619065 0.0130754i
\(743\) −9.26158 −0.339774 −0.169887 0.985464i \(-0.554340\pi\)
−0.169887 + 0.985464i \(0.554340\pi\)
\(744\) −3.60683 2.31997i −0.132233 0.0850542i
\(745\) 8.52220 12.5944i 0.312229 0.461423i
\(746\) −17.4970 10.4786i −0.640611 0.383650i
\(747\) −13.0981 + 22.6865i −0.479233 + 0.830056i
\(748\) −5.01762 + 8.08215i −0.183463 + 0.295513i
\(749\) −10.9005 17.3590i −0.398295 0.634284i
\(750\) 0.704726 + 2.32995i 0.0257330 + 0.0850777i
\(751\) 38.8410 + 22.4249i 1.41733 + 0.818294i 0.996063 0.0886436i \(-0.0282532\pi\)
0.421264 + 0.906938i \(0.361587\pi\)
\(752\) −23.6992 15.7853i −0.864221 0.575631i
\(753\) −0.662303 + 0.382381i −0.0241357 + 0.0139347i
\(754\) 0.125047 7.81599i 0.00455393 0.284642i
\(755\) 1.22560 + 2.52233i 0.0446041 + 0.0917971i
\(756\) −4.22867 2.41264i −0.153795 0.0877467i
\(757\) −20.8029 −0.756093 −0.378047 0.925787i \(-0.623404\pi\)
−0.378047 + 0.925787i \(0.623404\pi\)
\(758\) 0.179287 11.2063i 0.00651200 0.407030i
\(759\) 0.225387 + 0.390382i 0.00818104 + 0.0141700i
\(760\) 19.0224 + 14.2486i 0.690017 + 0.516850i
\(761\) 1.83269 + 1.05810i 0.0664348 + 0.0383562i 0.532849 0.846210i \(-0.321121\pi\)
−0.466415 + 0.884566i \(0.654455\pi\)
\(762\) 3.63627 2.02254i 0.131728 0.0732690i
\(763\) 41.3994 1.53727i 1.49876 0.0556528i
\(764\) 30.5524 + 18.9678i 1.10535 + 0.686230i
\(765\) 1.57085 21.9957i 0.0567942 0.795257i
\(766\) −16.7641 + 27.9924i −0.605712 + 1.01141i
\(767\) 4.20976 + 7.29152i 0.152006 + 0.263282i
\(768\) −0.949279 2.27297i −0.0342542 0.0820186i
\(769\) 28.4014i 1.02418i −0.858931 0.512091i \(-0.828871\pi\)
0.858931 0.512091i \(-0.171129\pi\)
\(770\) −0.602392 + 11.9953i −0.0217087 + 0.432279i
\(771\) 3.14592 0.113298
\(772\) 17.7055 9.48041i 0.637235 0.341208i
\(773\) 41.9911 24.2436i 1.51031 0.871980i 0.510387 0.859945i \(-0.329502\pi\)
0.999928 0.0120354i \(-0.00383107\pi\)