Properties

Label 280.2.bj.e.131.12
Level $280$
Weight $2$
Character 280.131
Analytic conductor $2.236$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 131.12
Character \(\chi\) \(=\) 280.131
Dual form 280.2.bj.e.171.12

$q$-expansion

\(f(q)\) \(=\) \(q+(1.41221 + 0.0753205i) q^{2} +(0.784482 - 0.452921i) q^{3} +(1.98865 + 0.212736i) q^{4} +(0.500000 - 0.866025i) q^{5} +(1.14196 - 0.580530i) q^{6} +(-1.23347 - 2.34063i) q^{7} +(2.79237 + 0.450214i) q^{8} +(-1.08973 + 1.88746i) q^{9} +O(q^{10})\) \(q+(1.41221 + 0.0753205i) q^{2} +(0.784482 - 0.452921i) q^{3} +(1.98865 + 0.212736i) q^{4} +(0.500000 - 0.866025i) q^{5} +(1.14196 - 0.580530i) q^{6} +(-1.23347 - 2.34063i) q^{7} +(2.79237 + 0.450214i) q^{8} +(-1.08973 + 1.88746i) q^{9} +(0.771333 - 1.18535i) q^{10} +(0.620880 + 1.07539i) q^{11} +(1.65642 - 0.733815i) q^{12} -4.31348 q^{13} +(-1.56561 - 3.39836i) q^{14} -0.905842i q^{15} +(3.90949 + 0.846117i) q^{16} +(-1.49339 + 0.862209i) q^{17} +(-1.68108 + 2.58340i) q^{18} +(2.12801 + 1.22861i) q^{19} +(1.17856 - 1.61586i) q^{20} +(-2.02775 - 1.27752i) q^{21} +(0.795811 + 1.56544i) q^{22} +(0.393079 + 0.226944i) q^{23} +(2.39447 - 0.911537i) q^{24} +(-0.500000 - 0.866025i) q^{25} +(-6.09152 - 0.324893i) q^{26} +4.69176i q^{27} +(-1.95500 - 4.91711i) q^{28} +7.69695i q^{29} +(0.0682284 - 1.27924i) q^{30} +(-0.133444 - 0.231133i) q^{31} +(5.45727 + 1.48936i) q^{32} +(0.974138 + 0.562419i) q^{33} +(-2.17392 + 1.10513i) q^{34} +(-2.64378 - 0.102102i) q^{35} +(-2.56862 + 3.52168i) q^{36} +(-4.24881 - 2.45305i) q^{37} +(2.91265 + 1.89533i) q^{38} +(-3.38385 + 1.95367i) q^{39} +(1.78608 - 2.19315i) q^{40} -12.2703i q^{41} +(-2.76738 - 1.95685i) q^{42} +1.73856 q^{43} +(1.00594 + 2.27067i) q^{44} +(1.08973 + 1.88746i) q^{45} +(0.538016 + 0.350099i) q^{46} +(5.37669 - 9.31270i) q^{47} +(3.45015 - 1.10693i) q^{48} +(-3.95712 + 5.77419i) q^{49} +(-0.640874 - 1.26067i) q^{50} +(-0.781025 + 1.35278i) q^{51} +(-8.57802 - 0.917633i) q^{52} +(-7.50728 + 4.33433i) q^{53} +(-0.353386 + 6.62574i) q^{54} +1.24176 q^{55} +(-2.39051 - 7.09122i) q^{56} +2.22584 q^{57} +(-0.579738 + 10.8697i) q^{58} +(-4.83628 + 2.79223i) q^{59} +(0.192705 - 1.80141i) q^{60} +(-0.462932 + 0.801822i) q^{61} +(-0.171042 - 0.336458i) q^{62} +(5.76199 + 0.222526i) q^{63} +(7.59462 + 2.51432i) q^{64} +(-2.15674 + 3.73558i) q^{65} +(1.33332 + 0.867624i) q^{66} +(0.465968 + 0.807080i) q^{67} +(-3.15326 + 1.39694i) q^{68} +0.411152 q^{69} +(-3.72587 - 0.343320i) q^{70} -8.36052i q^{71} +(-3.89267 + 4.77987i) q^{72} +(-6.21972 + 3.59095i) q^{73} +(-5.81544 - 3.78424i) q^{74} +(-0.784482 - 0.452921i) q^{75} +(3.97050 + 2.89597i) q^{76} +(1.75127 - 2.77972i) q^{77} +(-4.92584 + 2.50411i) q^{78} +(9.56196 + 5.52060i) q^{79} +(2.68750 - 2.96266i) q^{80} +(-1.14418 - 1.98177i) q^{81} +(0.924204 - 17.3282i) q^{82} -8.49133i q^{83} +(-3.76073 - 2.97192i) q^{84} +1.72442i q^{85} +(2.45520 + 0.130949i) q^{86} +(3.48611 + 6.03812i) q^{87} +(1.24957 + 3.28242i) q^{88} +(-6.91420 - 3.99191i) q^{89} +(1.39675 + 2.74756i) q^{90} +(5.32054 + 10.0963i) q^{91} +(0.733419 + 0.534936i) q^{92} +(-0.209370 - 0.120880i) q^{93} +(8.29444 - 12.7465i) q^{94} +(2.12801 - 1.22861i) q^{95} +(4.95569 - 1.30334i) q^{96} -3.92866i q^{97} +(-6.02318 + 7.85629i) q^{98} -2.70635 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 3q^{2} + 12q^{3} + q^{4} + 12q^{5} + 2q^{6} - 10q^{7} - 6q^{8} + 12q^{9} + O(q^{10}) \) \( 24q - 3q^{2} + 12q^{3} + q^{4} + 12q^{5} + 2q^{6} - 10q^{7} - 6q^{8} + 12q^{9} - 3q^{10} + 8q^{11} + 8q^{12} - 20q^{13} - 15q^{14} - 3q^{16} + 6q^{17} - 27q^{18} + 18q^{19} + 2q^{20} + 26q^{21} - 16q^{22} - 18q^{23} + 6q^{24} - 12q^{25} - 29q^{26} + 3q^{28} + 10q^{30} + 6q^{31} - 33q^{32} + 12q^{33} + 20q^{34} - 8q^{35} - 22q^{36} + 9q^{38} + 18q^{39} - 3q^{40} - 12q^{42} + 32q^{43} - 25q^{44} - 12q^{45} + 53q^{46} + 14q^{48} + 8q^{49} - 22q^{51} - 31q^{52} - 30q^{53} + 10q^{54} + 16q^{55} + 16q^{56} - 44q^{57} + 30q^{58} - 18q^{59} + 10q^{60} - 22q^{61} - 8q^{62} + 12q^{63} + 58q^{64} - 10q^{65} - 8q^{66} - 8q^{67} - 6q^{68} + 12q^{69} + 3q^{70} - 23q^{72} + 30q^{73} - 43q^{74} - 12q^{75} - 8q^{76} + 32q^{77} - 8q^{78} - 6q^{79} + 3q^{80} - 4q^{81} - 27q^{82} - 16q^{84} - 36q^{86} - 14q^{87} + 49q^{88} - 60q^{89} - 24q^{90} + 18q^{91} - 38q^{92} + 18q^{93} + 11q^{94} + 18q^{95} + 2q^{96} - 19q^{98} - 56q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.41221 + 0.0753205i 0.998581 + 0.0532596i
\(3\) 0.784482 0.452921i 0.452921 0.261494i −0.256142 0.966639i \(-0.582451\pi\)
0.709063 + 0.705145i \(0.249118\pi\)
\(4\) 1.98865 + 0.212736i 0.994327 + 0.106368i
\(5\) 0.500000 0.866025i 0.223607 0.387298i
\(6\) 1.14196 0.580530i 0.466205 0.237001i
\(7\) −1.23347 2.34063i −0.466207 0.884676i
\(8\) 2.79237 + 0.450214i 0.987250 + 0.159175i
\(9\) −1.08973 + 1.88746i −0.363242 + 0.629153i
\(10\) 0.771333 1.18535i 0.243917 0.374839i
\(11\) 0.620880 + 1.07539i 0.187202 + 0.324244i 0.944316 0.329039i \(-0.106725\pi\)
−0.757114 + 0.653283i \(0.773391\pi\)
\(12\) 1.65642 0.733815i 0.478166 0.211834i
\(13\) −4.31348 −1.19634 −0.598172 0.801368i \(-0.704106\pi\)
−0.598172 + 0.801368i \(0.704106\pi\)
\(14\) −1.56561 3.39836i −0.418428 0.908250i
\(15\) 0.905842i 0.233887i
\(16\) 3.90949 + 0.846117i 0.977372 + 0.211529i
\(17\) −1.49339 + 0.862209i −0.362200 + 0.209116i −0.670046 0.742320i \(-0.733725\pi\)
0.307845 + 0.951436i \(0.400392\pi\)
\(18\) −1.68108 + 2.58340i −0.396235 + 0.608914i
\(19\) 2.12801 + 1.22861i 0.488198 + 0.281861i 0.723827 0.689982i \(-0.242382\pi\)
−0.235628 + 0.971843i \(0.575715\pi\)
\(20\) 1.17856 1.61586i 0.263534 0.361317i
\(21\) −2.02775 1.27752i −0.442492 0.278778i
\(22\) 0.795811 + 1.56544i 0.169667 + 0.333754i
\(23\) 0.393079 + 0.226944i 0.0819627 + 0.0473212i 0.540421 0.841395i \(-0.318265\pi\)
−0.458459 + 0.888716i \(0.651598\pi\)
\(24\) 2.39447 0.911537i 0.488770 0.186067i
\(25\) −0.500000 0.866025i −0.100000 0.173205i
\(26\) −6.09152 0.324893i −1.19465 0.0637168i
\(27\) 4.69176i 0.902930i
\(28\) −1.95500 4.91711i −0.369461 0.929246i
\(29\) 7.69695i 1.42929i 0.699488 + 0.714644i \(0.253411\pi\)
−0.699488 + 0.714644i \(0.746589\pi\)
\(30\) 0.0682284 1.27924i 0.0124567 0.233555i
\(31\) −0.133444 0.231133i −0.0239673 0.0415126i 0.853793 0.520613i \(-0.174296\pi\)
−0.877760 + 0.479100i \(0.840963\pi\)
\(32\) 5.45727 + 1.48936i 0.964719 + 0.263283i
\(33\) 0.974138 + 0.562419i 0.169576 + 0.0979045i
\(34\) −2.17392 + 1.10513i −0.372824 + 0.189529i
\(35\) −2.64378 0.102102i −0.446880 0.0172584i
\(36\) −2.56862 + 3.52168i −0.428103 + 0.586947i
\(37\) −4.24881 2.45305i −0.698501 0.403280i 0.108288 0.994120i \(-0.465463\pi\)
−0.806789 + 0.590840i \(0.798796\pi\)
\(38\) 2.91265 + 1.89533i 0.472494 + 0.307463i
\(39\) −3.38385 + 1.95367i −0.541849 + 0.312837i
\(40\) 1.78608 2.19315i 0.282404 0.346768i
\(41\) 12.2703i 1.91630i −0.286271 0.958149i \(-0.592416\pi\)
0.286271 0.958149i \(-0.407584\pi\)
\(42\) −2.76738 1.95685i −0.427017 0.301949i
\(43\) 1.73856 0.265128 0.132564 0.991174i \(-0.457679\pi\)
0.132564 + 0.991174i \(0.457679\pi\)
\(44\) 1.00594 + 2.27067i 0.151651 + 0.342317i
\(45\) 1.08973 + 1.88746i 0.162447 + 0.281366i
\(46\) 0.538016 + 0.350099i 0.0793261 + 0.0516193i
\(47\) 5.37669 9.31270i 0.784271 1.35840i −0.145162 0.989408i \(-0.546370\pi\)
0.929434 0.368990i \(-0.120296\pi\)
\(48\) 3.45015 1.10693i 0.497986 0.159771i
\(49\) −3.95712 + 5.77419i −0.565302 + 0.824884i
\(50\) −0.640874 1.26067i −0.0906332 0.178285i
\(51\) −0.781025 + 1.35278i −0.109365 + 0.189426i
\(52\) −8.57802 0.917633i −1.18956 0.127253i
\(53\) −7.50728 + 4.33433i −1.03120 + 0.595366i −0.917329 0.398129i \(-0.869660\pi\)
−0.113875 + 0.993495i \(0.536326\pi\)
\(54\) −0.353386 + 6.62574i −0.0480897 + 0.901649i
\(55\) 1.24176 0.167439
\(56\) −2.39051 7.09122i −0.319445 0.947605i
\(57\) 2.22584 0.294820
\(58\) −0.579738 + 10.8697i −0.0761233 + 1.42726i
\(59\) −4.83628 + 2.79223i −0.629630 + 0.363517i −0.780609 0.625020i \(-0.785091\pi\)
0.150978 + 0.988537i \(0.451758\pi\)
\(60\) 0.192705 1.80141i 0.0248781 0.232560i
\(61\) −0.462932 + 0.801822i −0.0592724 + 0.102663i −0.894139 0.447790i \(-0.852211\pi\)
0.834867 + 0.550452i \(0.185545\pi\)
\(62\) −0.171042 0.336458i −0.0217224 0.0427302i
\(63\) 5.76199 + 0.222526i 0.725942 + 0.0280357i
\(64\) 7.59462 + 2.51432i 0.949327 + 0.314290i
\(65\) −2.15674 + 3.73558i −0.267511 + 0.463342i
\(66\) 1.33332 + 0.867624i 0.164121 + 0.106797i
\(67\) 0.465968 + 0.807080i 0.0569270 + 0.0986005i 0.893085 0.449889i \(-0.148536\pi\)
−0.836158 + 0.548489i \(0.815203\pi\)
\(68\) −3.15326 + 1.39694i −0.382389 + 0.169404i
\(69\) 0.411152 0.0494968
\(70\) −3.72587 0.343320i −0.445327 0.0410346i
\(71\) 8.36052i 0.992211i −0.868262 0.496105i \(-0.834763\pi\)
0.868262 0.496105i \(-0.165237\pi\)
\(72\) −3.89267 + 4.77987i −0.458756 + 0.563313i
\(73\) −6.21972 + 3.59095i −0.727963 + 0.420289i −0.817676 0.575678i \(-0.804738\pi\)
0.0897137 + 0.995968i \(0.471405\pi\)
\(74\) −5.81544 3.78424i −0.676031 0.439909i
\(75\) −0.784482 0.452921i −0.0905842 0.0522988i
\(76\) 3.97050 + 2.89597i 0.455448 + 0.332191i
\(77\) 1.75127 2.77972i 0.199576 0.316778i
\(78\) −4.92584 + 2.50411i −0.557742 + 0.283534i
\(79\) 9.56196 + 5.52060i 1.07580 + 0.621116i 0.929762 0.368162i \(-0.120013\pi\)
0.146043 + 0.989278i \(0.453346\pi\)
\(80\) 2.68750 2.96266i 0.300472 0.331235i
\(81\) −1.14418 1.98177i −0.127131 0.220197i
\(82\) 0.924204 17.3282i 0.102061 1.91358i
\(83\) 8.49133i 0.932045i −0.884773 0.466022i \(-0.845687\pi\)
0.884773 0.466022i \(-0.154313\pi\)
\(84\) −3.76073 2.97192i −0.410329 0.324263i
\(85\) 1.72442i 0.187039i
\(86\) 2.45520 + 0.130949i 0.264751 + 0.0141206i
\(87\) 3.48611 + 6.03812i 0.373750 + 0.647355i
\(88\) 1.24957 + 3.28242i 0.133204 + 0.349908i
\(89\) −6.91420 3.99191i −0.732903 0.423142i 0.0865800 0.996245i \(-0.472406\pi\)
−0.819483 + 0.573103i \(0.805740\pi\)
\(90\) 1.39675 + 2.74756i 0.147231 + 0.289618i
\(91\) 5.32054 + 10.0963i 0.557744 + 1.05838i
\(92\) 0.733419 + 0.534936i 0.0764643 + 0.0557709i
\(93\) −0.209370 0.120880i −0.0217106 0.0125346i
\(94\) 8.29444 12.7465i 0.855506 1.31470i
\(95\) 2.12801 1.22861i 0.218329 0.126052i
\(96\) 4.95569 1.30334i 0.505788 0.133022i
\(97\) 3.92866i 0.398895i −0.979909 0.199447i \(-0.936085\pi\)
0.979909 0.199447i \(-0.0639147\pi\)
\(98\) −6.02318 + 7.85629i −0.608433 + 0.793605i
\(99\) −2.70635 −0.271999
\(100\) −0.810092 1.82859i −0.0810092 0.182859i
\(101\) 4.82944 + 8.36483i 0.480547 + 0.832332i 0.999751 0.0223184i \(-0.00710474\pi\)
−0.519204 + 0.854651i \(0.673771\pi\)
\(102\) −1.20486 + 1.85157i −0.119299 + 0.183333i
\(103\) 3.82962 6.63310i 0.377344 0.653578i −0.613331 0.789826i \(-0.710171\pi\)
0.990675 + 0.136247i \(0.0435042\pi\)
\(104\) −12.0448 1.94199i −1.18109 0.190427i
\(105\) −2.12024 + 1.11733i −0.206914 + 0.109040i
\(106\) −10.9283 + 5.55552i −1.06145 + 0.539599i
\(107\) 8.44757 14.6316i 0.816657 1.41449i −0.0914746 0.995807i \(-0.529158\pi\)
0.908132 0.418684i \(-0.137509\pi\)
\(108\) −0.998107 + 9.33029i −0.0960429 + 0.897808i
\(109\) −7.93420 + 4.58081i −0.759959 + 0.438762i −0.829281 0.558832i \(-0.811250\pi\)
0.0693221 + 0.997594i \(0.477916\pi\)
\(110\) 1.75362 + 0.0935299i 0.167201 + 0.00891772i
\(111\) −4.44416 −0.421821
\(112\) −2.84178 10.1943i −0.268523 0.963273i
\(113\) 20.4047 1.91952 0.959758 0.280829i \(-0.0906094\pi\)
0.959758 + 0.280829i \(0.0906094\pi\)
\(114\) 3.14335 + 0.167652i 0.294402 + 0.0157020i
\(115\) 0.393079 0.226944i 0.0366548 0.0211627i
\(116\) −1.63742 + 15.3066i −0.152031 + 1.42118i
\(117\) 4.70051 8.14152i 0.434562 0.752684i
\(118\) −7.04014 + 3.57893i −0.648098 + 0.329468i
\(119\) 3.86016 + 2.43197i 0.353861 + 0.222938i
\(120\) 0.407822 2.52944i 0.0372289 0.230905i
\(121\) 4.72902 8.19090i 0.429911 0.744627i
\(122\) −0.714149 + 1.09747i −0.0646560 + 0.0993602i
\(123\) −5.55747 9.62582i −0.501100 0.867931i
\(124\) −0.216205 0.488031i −0.0194157 0.0438265i
\(125\) −1.00000 −0.0894427
\(126\) 8.12036 + 0.748248i 0.723419 + 0.0666593i
\(127\) 5.18278i 0.459897i 0.973203 + 0.229949i \(0.0738558\pi\)
−0.973203 + 0.229949i \(0.926144\pi\)
\(128\) 10.5358 + 4.12277i 0.931241 + 0.364405i
\(129\) 1.36387 0.787430i 0.120082 0.0693293i
\(130\) −3.32713 + 5.11297i −0.291808 + 0.448437i
\(131\) 11.7551 + 6.78684i 1.02705 + 0.592969i 0.916139 0.400861i \(-0.131289\pi\)
0.110913 + 0.993830i \(0.464622\pi\)
\(132\) 1.81758 + 1.32569i 0.158200 + 0.115387i
\(133\) 0.250886 6.49633i 0.0217546 0.563303i
\(134\) 0.597253 + 1.17486i 0.0515948 + 0.101492i
\(135\) 4.06319 + 2.34588i 0.349703 + 0.201901i
\(136\) −4.55827 + 1.73526i −0.390869 + 0.148797i
\(137\) −6.46913 11.2049i −0.552695 0.957296i −0.998079 0.0619561i \(-0.980266\pi\)
0.445384 0.895340i \(-0.353067\pi\)
\(138\) 0.580631 + 0.0309681i 0.0494266 + 0.00263618i
\(139\) 17.8027i 1.51001i 0.655720 + 0.755004i \(0.272365\pi\)
−0.655720 + 0.755004i \(0.727635\pi\)
\(140\) −5.23584 0.765473i −0.442509 0.0646943i
\(141\) 9.74087i 0.820329i
\(142\) 0.629718 11.8068i 0.0528448 0.990803i
\(143\) −2.67815 4.63869i −0.223958 0.387907i
\(144\) −5.85728 + 6.45696i −0.488106 + 0.538080i
\(145\) 6.66576 + 3.84848i 0.553561 + 0.319599i
\(146\) −9.05399 + 4.60270i −0.749314 + 0.380922i
\(147\) −0.489037 + 6.32201i −0.0403351 + 0.521430i
\(148\) −7.92757 5.78215i −0.651642 0.475290i
\(149\) 12.7146 + 7.34080i 1.04162 + 0.601382i 0.920293 0.391230i \(-0.127950\pi\)
0.121331 + 0.992612i \(0.461284\pi\)
\(150\) −1.07374 0.698705i −0.0876702 0.0570491i
\(151\) −14.9018 + 8.60359i −1.21270 + 0.700150i −0.963346 0.268264i \(-0.913550\pi\)
−0.249350 + 0.968414i \(0.580217\pi\)
\(152\) 5.38904 + 4.38877i 0.437109 + 0.355977i
\(153\) 3.75829i 0.303839i
\(154\) 2.68252 3.79362i 0.216164 0.305699i
\(155\) −0.266889 −0.0214370
\(156\) −7.14492 + 3.16530i −0.572051 + 0.253427i
\(157\) 5.35139 + 9.26887i 0.427087 + 0.739737i 0.996613 0.0822369i \(-0.0262064\pi\)
−0.569526 + 0.821974i \(0.692873\pi\)
\(158\) 13.0876 + 8.51644i 1.04120 + 0.677531i
\(159\) −3.92622 + 6.80041i −0.311369 + 0.539307i
\(160\) 4.01846 3.98146i 0.317687 0.314762i
\(161\) 0.0463429 1.19998i 0.00365233 0.0945719i
\(162\) −1.46655 2.88485i −0.115223 0.226655i
\(163\) 12.5462 21.7307i 0.982696 1.70208i 0.330936 0.943653i \(-0.392636\pi\)
0.651760 0.758426i \(-0.274031\pi\)
\(164\) 2.61033 24.4014i 0.203833 1.90543i
\(165\) 0.974138 0.562419i 0.0758365 0.0437842i
\(166\) 0.639571 11.9915i 0.0496403 0.930722i
\(167\) −6.43113 −0.497656 −0.248828 0.968548i \(-0.580045\pi\)
−0.248828 + 0.968548i \(0.580045\pi\)
\(168\) −5.08708 4.48023i −0.392476 0.345657i
\(169\) 5.60611 0.431239
\(170\) −0.129884 + 2.43524i −0.00996165 + 0.186774i
\(171\) −4.63789 + 2.67768i −0.354668 + 0.204768i
\(172\) 3.45739 + 0.369854i 0.263624 + 0.0282011i
\(173\) 1.08576 1.88059i 0.0825486 0.142978i −0.821795 0.569783i \(-0.807027\pi\)
0.904344 + 0.426804i \(0.140361\pi\)
\(174\) 4.46831 + 8.78965i 0.338742 + 0.666342i
\(175\) −1.41031 + 2.23853i −0.106610 + 0.169217i
\(176\) 1.51741 + 4.72958i 0.114379 + 0.356505i
\(177\) −2.52932 + 4.38091i −0.190115 + 0.329289i
\(178\) −9.46360 6.15819i −0.709327 0.461576i
\(179\) −11.3858 19.7209i −0.851018 1.47401i −0.880291 0.474434i \(-0.842653\pi\)
0.0292733 0.999571i \(-0.490681\pi\)
\(180\) 1.76556 + 3.98533i 0.131597 + 0.297049i
\(181\) 20.2848 1.50776 0.753879 0.657013i \(-0.228180\pi\)
0.753879 + 0.657013i \(0.228180\pi\)
\(182\) 6.75324 + 14.6588i 0.500583 + 1.08658i
\(183\) 0.838686i 0.0619975i
\(184\) 0.995448 + 0.810682i 0.0733854 + 0.0597642i
\(185\) −4.24881 + 2.45305i −0.312379 + 0.180352i
\(186\) −0.286568 0.186477i −0.0210122 0.0136731i
\(187\) −1.85443 1.07066i −0.135609 0.0782941i
\(188\) 12.6735 17.3759i 0.924312 1.26727i
\(189\) 10.9817 5.78714i 0.798801 0.420952i
\(190\) 3.09772 1.57476i 0.224733 0.114245i
\(191\) 1.45879 + 0.842233i 0.105554 + 0.0609419i 0.551848 0.833945i \(-0.313923\pi\)
−0.446293 + 0.894887i \(0.647256\pi\)
\(192\) 7.09663 1.46732i 0.512155 0.105895i
\(193\) 12.3298 + 21.3558i 0.887517 + 1.53722i 0.842801 + 0.538225i \(0.180905\pi\)
0.0447160 + 0.999000i \(0.485762\pi\)
\(194\) 0.295908 5.54808i 0.0212450 0.398329i
\(195\) 3.90733i 0.279810i
\(196\) −9.09771 + 10.6410i −0.649837 + 0.760074i
\(197\) 1.66437i 0.118582i −0.998241 0.0592908i \(-0.981116\pi\)
0.998241 0.0592908i \(-0.0188839\pi\)
\(198\) −3.82193 0.203844i −0.271613 0.0144865i
\(199\) 6.39700 + 11.0799i 0.453471 + 0.785435i 0.998599 0.0529181i \(-0.0168522\pi\)
−0.545128 + 0.838353i \(0.683519\pi\)
\(200\) −1.00629 2.64337i −0.0711552 0.186914i
\(201\) 0.731087 + 0.422093i 0.0515669 + 0.0297721i
\(202\) 6.19012 + 12.1766i 0.435535 + 0.856745i
\(203\) 18.0157 9.49394i 1.26446 0.666344i
\(204\) −1.84097 + 2.52405i −0.128894 + 0.176719i
\(205\) −10.6264 6.13515i −0.742179 0.428497i
\(206\) 5.90782 9.07885i 0.411617 0.632554i
\(207\) −0.856697 + 0.494614i −0.0595446 + 0.0343781i
\(208\) −16.8635 3.64971i −1.16927 0.253062i
\(209\) 3.05126i 0.211060i
\(210\) −3.07838 + 1.41820i −0.212428 + 0.0978650i
\(211\) −16.8109 −1.15731 −0.578655 0.815573i \(-0.696422\pi\)
−0.578655 + 0.815573i \(0.696422\pi\)
\(212\) −15.8514 + 7.02241i −1.08868 + 0.482301i
\(213\) −3.78665 6.55868i −0.259457 0.449393i
\(214\) 13.0318 20.0266i 0.890833 1.36899i
\(215\) 0.869279 1.50564i 0.0592844 0.102684i
\(216\) −2.11230 + 13.1011i −0.143723 + 0.891418i
\(217\) −0.376397 + 0.597439i −0.0255515 + 0.0405568i
\(218\) −11.5498 + 5.87145i −0.782249 + 0.397665i
\(219\) −3.25284 + 5.63408i −0.219806 + 0.380716i
\(220\) 2.46943 + 0.264167i 0.166489 + 0.0178101i
\(221\) 6.44171 3.71912i 0.433316 0.250175i
\(222\) −6.27607 0.334736i −0.421222 0.0224660i
\(223\) −23.8692 −1.59840 −0.799200 0.601065i \(-0.794743\pi\)
−0.799200 + 0.601065i \(0.794743\pi\)
\(224\) −3.24533 14.6105i −0.216838 0.976208i
\(225\) 2.17945 0.145297
\(226\) 28.8157 + 1.53689i 1.91679 + 0.102233i
\(227\) −6.71810 + 3.87870i −0.445896 + 0.257438i −0.706095 0.708117i \(-0.749545\pi\)
0.260199 + 0.965555i \(0.416212\pi\)
\(228\) 4.42643 + 0.473517i 0.293148 + 0.0313595i
\(229\) 2.45190 4.24681i 0.162026 0.280637i −0.773569 0.633712i \(-0.781530\pi\)
0.935595 + 0.353075i \(0.114864\pi\)
\(230\) 0.572203 0.290885i 0.0377299 0.0191804i
\(231\) 0.114848 2.97382i 0.00755645 0.195663i
\(232\) −3.46527 + 21.4927i −0.227506 + 1.41107i
\(233\) −8.58535 + 14.8703i −0.562445 + 0.974183i 0.434838 + 0.900509i \(0.356806\pi\)
−0.997282 + 0.0736741i \(0.976528\pi\)
\(234\) 7.25131 11.1435i 0.474033 0.728471i
\(235\) −5.37669 9.31270i −0.350737 0.607494i
\(236\) −10.2117 + 4.52393i −0.664725 + 0.294482i
\(237\) 10.0016 0.649673
\(238\) 5.26817 + 3.72519i 0.341485 + 0.241468i
\(239\) 22.5691i 1.45987i −0.683516 0.729935i \(-0.739550\pi\)
0.683516 0.729935i \(-0.260450\pi\)
\(240\) 0.766448 3.54138i 0.0494740 0.228595i
\(241\) −2.49414 + 1.43999i −0.160662 + 0.0927580i −0.578175 0.815913i \(-0.696235\pi\)
0.417514 + 0.908671i \(0.362902\pi\)
\(242\) 7.29529 11.2110i 0.468959 0.720673i
\(243\) −13.9847 8.07409i −0.897121 0.517953i
\(244\) −1.09119 + 1.49606i −0.0698561 + 0.0957756i
\(245\) 3.02203 + 6.31406i 0.193071 + 0.403390i
\(246\) −7.12328 14.0122i −0.454163 0.893388i
\(247\) −9.17911 5.29956i −0.584053 0.337203i
\(248\) −0.268567 0.705485i −0.0170540 0.0447983i
\(249\) −3.84590 6.66130i −0.243724 0.422143i
\(250\) −1.41221 0.0753205i −0.0893158 0.00476368i
\(251\) 12.3739i 0.781034i 0.920596 + 0.390517i \(0.127704\pi\)
−0.920596 + 0.390517i \(0.872296\pi\)
\(252\) 11.4113 + 1.66831i 0.718842 + 0.105094i
\(253\) 0.563621i 0.0354345i
\(254\) −0.390369 + 7.31915i −0.0244939 + 0.459245i
\(255\) 0.781025 + 1.35278i 0.0489097 + 0.0847141i
\(256\) 14.5682 + 6.61576i 0.910511 + 0.413485i
\(257\) 4.89750 + 2.82758i 0.305498 + 0.176379i 0.644910 0.764258i \(-0.276895\pi\)
−0.339412 + 0.940638i \(0.610228\pi\)
\(258\) 1.98537 1.00929i 0.123604 0.0628354i
\(259\) −0.500923 + 12.9707i −0.0311259 + 0.805959i
\(260\) −5.08370 + 6.96996i −0.315278 + 0.432259i
\(261\) −14.5277 8.38756i −0.899241 0.519177i
\(262\) 16.0895 + 10.4698i 0.994013 + 0.646828i
\(263\) 8.62649 4.98051i 0.531932 0.307111i −0.209871 0.977729i \(-0.567304\pi\)
0.741803 + 0.670618i \(0.233971\pi\)
\(264\) 2.46694 + 2.00905i 0.151830 + 0.123648i
\(265\) 8.66866i 0.532511i
\(266\) 0.843609 9.15526i 0.0517250 0.561345i
\(267\) −7.23208 −0.442596
\(268\) 0.754953 + 1.70413i 0.0461161 + 0.104096i
\(269\) −9.77791 16.9358i −0.596170 1.03260i −0.993381 0.114869i \(-0.963355\pi\)
0.397211 0.917727i \(-0.369978\pi\)
\(270\) 5.56136 + 3.61891i 0.338454 + 0.220240i
\(271\) −16.1219 + 27.9240i −0.979336 + 1.69626i −0.314522 + 0.949250i \(0.601844\pi\)
−0.664814 + 0.747009i \(0.731489\pi\)
\(272\) −6.56792 + 2.10721i −0.398239 + 0.127769i
\(273\) 8.74668 + 5.51056i 0.529373 + 0.333514i
\(274\) −8.29179 16.3108i −0.500925 0.985373i
\(275\) 0.620880 1.07539i 0.0374404 0.0648488i
\(276\) 0.817638 + 0.0874668i 0.0492160 + 0.00526488i
\(277\) −15.3351 + 8.85371i −0.921396 + 0.531968i −0.884080 0.467336i \(-0.845214\pi\)
−0.0373155 + 0.999304i \(0.511881\pi\)
\(278\) −1.34091 + 25.1411i −0.0804224 + 1.50786i
\(279\) 0.581671 0.0348237
\(280\) −7.33643 1.47537i −0.438436 0.0881703i
\(281\) −4.02367 −0.240032 −0.120016 0.992772i \(-0.538295\pi\)
−0.120016 + 0.992772i \(0.538295\pi\)
\(282\) 0.733686 13.7561i 0.0436904 0.819165i
\(283\) −16.4300 + 9.48585i −0.976661 + 0.563875i −0.901260 0.433278i \(-0.857357\pi\)
−0.0754004 + 0.997153i \(0.524023\pi\)
\(284\) 1.77858 16.6262i 0.105540 0.986582i
\(285\) 1.11292 1.92764i 0.0659238 0.114183i
\(286\) −3.43271 6.75251i −0.202981 0.399284i
\(287\) −28.7202 + 15.1350i −1.69530 + 0.893391i
\(288\) −8.75803 + 8.67739i −0.516072 + 0.511320i
\(289\) −7.01319 + 12.1472i −0.412541 + 0.714541i
\(290\) 9.12356 + 5.93691i 0.535754 + 0.348627i
\(291\) −1.77937 3.08196i −0.104309 0.180668i
\(292\) −13.1328 + 5.81801i −0.768538 + 0.340473i
\(293\) −10.3847 −0.606678 −0.303339 0.952883i \(-0.598101\pi\)
−0.303339 + 0.952883i \(0.598101\pi\)
\(294\) −1.16680 + 8.89114i −0.0680490 + 0.518542i
\(295\) 5.58446i 0.325140i
\(296\) −10.7598 8.76270i −0.625403 0.509322i
\(297\) −5.04550 + 2.91302i −0.292770 + 0.169031i
\(298\) 17.4028 + 11.3244i 1.00812 + 0.656005i
\(299\) −1.69554 0.978920i −0.0980556 0.0566124i
\(300\) −1.46371 1.06759i −0.0845074 0.0616374i
\(301\) −2.14446 4.06933i −0.123604 0.234552i
\(302\) −21.6925 + 11.0276i −1.24826 + 0.634569i
\(303\) 7.57722 + 4.37471i 0.435300 + 0.251320i
\(304\) 7.27987 + 6.60376i 0.417529 + 0.378752i
\(305\) 0.462932 + 0.801822i 0.0265074 + 0.0459122i
\(306\) 0.283076 5.30747i 0.0161824 0.303408i
\(307\) 21.4468i 1.22403i 0.790846 + 0.612015i \(0.209641\pi\)
−0.790846 + 0.612015i \(0.790359\pi\)
\(308\) 4.07401 5.15533i 0.232138 0.293752i
\(309\) 6.93806i 0.394692i
\(310\) −0.376902 0.0201022i −0.0214066 0.00114173i
\(311\) −3.97738 6.88902i −0.225536 0.390641i 0.730944 0.682438i \(-0.239080\pi\)
−0.956480 + 0.291797i \(0.905747\pi\)
\(312\) −10.3285 + 3.93189i −0.584737 + 0.222600i
\(313\) −9.04094 5.21979i −0.511024 0.295040i 0.222230 0.974994i \(-0.428666\pi\)
−0.733255 + 0.679954i \(0.762000\pi\)
\(314\) 6.85913 + 13.4926i 0.387083 + 0.761433i
\(315\) 3.07371 4.87877i 0.173184 0.274887i
\(316\) 17.8410 + 13.0127i 1.00363 + 0.732024i
\(317\) 5.86432 + 3.38576i 0.329373 + 0.190163i 0.655563 0.755141i \(-0.272432\pi\)
−0.326190 + 0.945304i \(0.605765\pi\)
\(318\) −6.05684 + 9.30785i −0.339651 + 0.521959i
\(319\) −8.27726 + 4.77888i −0.463438 + 0.267566i
\(320\) 5.97477 5.31997i 0.334000 0.297395i
\(321\) 15.3043i 0.854204i
\(322\) 0.155829 1.69113i 0.00868401 0.0942431i
\(323\) −4.23726 −0.235767
\(324\) −1.85378 4.18447i −0.102988 0.232471i
\(325\) 2.15674 + 3.73558i 0.119634 + 0.207213i
\(326\) 19.3546 29.7432i 1.07195 1.64733i
\(327\) −4.14949 + 7.18713i −0.229468 + 0.397449i
\(328\) 5.52425 34.2631i 0.305026 1.89187i
\(329\) −28.4296 1.09794i −1.56737 0.0605315i
\(330\) 1.41805 0.720879i 0.0780608 0.0396831i
\(331\) 5.59806 9.69613i 0.307697 0.532947i −0.670161 0.742216i \(-0.733775\pi\)
0.977858 + 0.209268i \(0.0671083\pi\)
\(332\) 1.80641 16.8863i 0.0991398 0.926757i
\(333\) 9.26008 5.34631i 0.507449 0.292976i
\(334\) −9.08209 0.484396i −0.496950 0.0265050i
\(335\) 0.931935 0.0509171
\(336\) −6.84655 6.71017i −0.373510 0.366070i
\(337\) 24.4910 1.33411 0.667055 0.745008i \(-0.267554\pi\)
0.667055 + 0.745008i \(0.267554\pi\)
\(338\) 7.91698 + 0.422254i 0.430627 + 0.0229676i
\(339\) 16.0071 9.24173i 0.869389 0.501942i
\(340\) −0.366846 + 3.42927i −0.0198950 + 0.185978i
\(341\) 0.165706 0.287011i 0.00897347 0.0155425i
\(342\) −6.75134 + 3.43212i −0.365070 + 0.185588i
\(343\) 18.3962 + 2.13988i 0.993303 + 0.115543i
\(344\) 4.85469 + 0.782723i 0.261748 + 0.0422016i
\(345\) 0.205576 0.356068i 0.0110678 0.0191700i
\(346\) 1.67496 2.57400i 0.0900464 0.138379i
\(347\) 8.21166 + 14.2230i 0.440825 + 0.763531i 0.997751 0.0670312i \(-0.0213527\pi\)
−0.556926 + 0.830562i \(0.688019\pi\)
\(348\) 5.64814 + 12.7494i 0.302772 + 0.683437i
\(349\) 0.191603 0.0102563 0.00512813 0.999987i \(-0.498368\pi\)
0.00512813 + 0.999987i \(0.498368\pi\)
\(350\) −2.16026 + 3.05504i −0.115471 + 0.163299i
\(351\) 20.2378i 1.08022i
\(352\) 1.78666 + 6.79343i 0.0952295 + 0.362091i
\(353\) −19.3579 + 11.1763i −1.03032 + 0.594854i −0.917075 0.398714i \(-0.869457\pi\)
−0.113241 + 0.993568i \(0.536123\pi\)
\(354\) −3.90189 + 5.99624i −0.207383 + 0.318696i
\(355\) −7.24042 4.18026i −0.384282 0.221865i
\(356\) −12.9007 9.40943i −0.683737 0.498699i
\(357\) 4.12972 + 0.159488i 0.218568 + 0.00844102i
\(358\) −14.5938 28.7075i −0.771305 1.51724i
\(359\) −20.4748 11.8211i −1.08062 0.623896i −0.149556 0.988753i \(-0.547784\pi\)
−0.931064 + 0.364857i \(0.881118\pi\)
\(360\) 2.19315 + 5.76109i 0.115589 + 0.303636i
\(361\) −6.48106 11.2255i −0.341108 0.590817i
\(362\) 28.6463 + 1.52786i 1.50562 + 0.0803026i
\(363\) 8.56748i 0.449676i
\(364\) 8.43286 + 21.2099i 0.442002 + 1.11170i
\(365\) 7.18191i 0.375918i
\(366\) −0.0631702 + 1.18440i −0.00330196 + 0.0619095i
\(367\) 9.00124 + 15.5906i 0.469861 + 0.813823i 0.999406 0.0344586i \(-0.0109707\pi\)
−0.529545 + 0.848282i \(0.677637\pi\)
\(368\) 1.34472 + 1.21983i 0.0700982 + 0.0635879i
\(369\) 23.1597 + 13.3712i 1.20564 + 0.696079i
\(370\) −6.18497 + 3.14420i −0.321541 + 0.163459i
\(371\) 19.4051 + 12.2255i 1.00746 + 0.634717i
\(372\) −0.390648 0.284928i −0.0202542 0.0147728i
\(373\) −21.5700 12.4535i −1.11685 0.644815i −0.176257 0.984344i \(-0.556399\pi\)
−0.940596 + 0.339529i \(0.889732\pi\)
\(374\) −2.53820 1.65166i −0.131247 0.0854055i
\(375\) −0.784482 + 0.452921i −0.0405105 + 0.0233887i
\(376\) 19.2064 23.5838i 0.990494 1.21624i
\(377\) 33.2006i 1.70992i
\(378\) 15.9443 7.34549i 0.820087 0.377811i
\(379\) 3.91557 0.201130 0.100565 0.994931i \(-0.467935\pi\)
0.100565 + 0.994931i \(0.467935\pi\)
\(380\) 4.49324 1.99057i 0.230498 0.102114i
\(381\) 2.34739 + 4.06580i 0.120260 + 0.208297i
\(382\) 1.99668 + 1.29928i 0.102159 + 0.0664772i
\(383\) 8.27193 14.3274i 0.422676 0.732096i −0.573524 0.819189i \(-0.694424\pi\)
0.996200 + 0.0870922i \(0.0277575\pi\)
\(384\) 10.1324 1.53764i 0.517068 0.0784672i
\(385\) −1.53167 2.90650i −0.0780611 0.148129i
\(386\) 15.8037 + 31.0875i 0.804386 + 1.58231i
\(387\) −1.89455 + 3.28146i −0.0963055 + 0.166806i
\(388\) 0.835768 7.81274i 0.0424297 0.396632i
\(389\) 17.8537 10.3078i 0.905219 0.522628i 0.0263290 0.999653i \(-0.491618\pi\)
0.878890 + 0.477025i \(0.158285\pi\)
\(390\) −0.294302 + 5.51796i −0.0149026 + 0.279413i
\(391\) −0.782695 −0.0395826
\(392\) −13.6493 + 14.3421i −0.689395 + 0.724385i
\(393\) 12.2956 0.620231
\(394\) 0.125361 2.35044i 0.00631561 0.118413i
\(395\) 9.56196 5.52060i 0.481114 0.277772i
\(396\) −5.38200 0.575739i −0.270456 0.0289320i
\(397\) −9.45979 + 16.3848i −0.474773 + 0.822332i −0.999583 0.0288882i \(-0.990803\pi\)
0.524809 + 0.851220i \(0.324137\pi\)
\(398\) 8.19933 + 16.1290i 0.410995 + 0.808472i
\(399\) −2.74551 5.20988i −0.137447 0.260820i
\(400\) −1.22198 3.80877i −0.0610992 0.190439i
\(401\) −1.73670 + 3.00804i −0.0867264 + 0.150215i −0.906126 0.423009i \(-0.860974\pi\)
0.819399 + 0.573223i \(0.194307\pi\)
\(402\) 1.00065 + 0.651148i 0.0499080 + 0.0324763i
\(403\) 0.575610 + 0.996985i 0.0286732 + 0.0496634i
\(404\) 7.82458 + 17.6622i 0.389287 + 0.878725i
\(405\) −2.28836 −0.113709
\(406\) 26.1570 12.0504i 1.29815 0.598054i
\(407\) 6.09221i 0.301979i
\(408\) −2.78995 + 3.42582i −0.138123 + 0.169603i
\(409\) 20.4501 11.8069i 1.01119 0.583812i 0.0996521 0.995022i \(-0.468227\pi\)
0.911541 + 0.411210i \(0.134894\pi\)
\(410\) −14.5445 9.46448i −0.718304 0.467417i
\(411\) −10.1498 5.86001i −0.500654 0.289053i
\(412\) 9.02689 12.3762i 0.444723 0.609733i
\(413\) 12.5010 + 7.87584i 0.615133 + 0.387545i
\(414\) −1.24709 + 0.633971i −0.0612910 + 0.0311580i
\(415\) −7.35371 4.24567i −0.360979 0.208412i
\(416\) −23.5398 6.42431i −1.15414 0.314977i
\(417\) 8.06323 + 13.9659i 0.394858 + 0.683914i
\(418\) −0.229823 + 4.30901i −0.0112410 + 0.210761i
\(419\) 7.29588i 0.356427i 0.983992 + 0.178214i \(0.0570318\pi\)
−0.983992 + 0.178214i \(0.942968\pi\)
\(420\) −4.45412 + 1.77092i −0.217339 + 0.0864122i
\(421\) 6.71577i 0.327307i 0.986518 + 0.163653i \(0.0523278\pi\)
−0.986518 + 0.163653i \(0.947672\pi\)
\(422\) −23.7404 1.26620i −1.15567 0.0616378i
\(423\) 11.7182 + 20.2966i 0.569760 + 0.986853i
\(424\) −22.9144 + 8.72315i −1.11282 + 0.423634i
\(425\) 1.49339 + 0.862209i 0.0724401 + 0.0418233i
\(426\) −4.85353 9.54742i −0.235154 0.462574i
\(427\) 2.44778 + 0.0945325i 0.118456 + 0.00457475i
\(428\) 19.9120 27.3001i 0.962481 1.31960i
\(429\) −4.20192 2.42598i −0.202871 0.117127i
\(430\) 1.34101 2.06079i 0.0646691 0.0993803i
\(431\) 29.3361 16.9372i 1.41307 0.815837i 0.417395 0.908725i \(-0.362943\pi\)
0.995677 + 0.0928881i \(0.0296099\pi\)
\(432\) −3.96978 + 18.3424i −0.190996 + 0.882498i
\(433\) 14.8665i 0.714440i 0.934020 + 0.357220i \(0.116275\pi\)
−0.934020 + 0.357220i \(0.883725\pi\)
\(434\) −0.576549 + 0.815356i −0.0276753 + 0.0391384i
\(435\) 6.97222 0.334292
\(436\) −16.7529 + 7.42176i −0.802318 + 0.355438i
\(437\) 0.557650 + 0.965879i 0.0266760 + 0.0462042i
\(438\) −5.01804 + 7.71148i −0.239771 + 0.368469i
\(439\) 6.22389 10.7801i 0.297050 0.514506i −0.678410 0.734684i \(-0.737331\pi\)
0.975460 + 0.220178i \(0.0706639\pi\)
\(440\) 3.46745 + 0.559057i 0.165304 + 0.0266520i
\(441\) −6.58637 13.7612i −0.313637 0.655294i
\(442\) 9.37715 4.76698i 0.446025 0.226742i
\(443\) −5.16402 + 8.94434i −0.245350 + 0.424959i −0.962230 0.272238i \(-0.912236\pi\)
0.716880 + 0.697197i \(0.245570\pi\)
\(444\) −8.83789 0.945433i −0.419428 0.0448683i
\(445\) −6.91420 + 3.99191i −0.327764 + 0.189235i
\(446\) −33.7083 1.79784i −1.59613 0.0851302i
\(447\) 13.2992 0.629031
\(448\) −3.48261 20.8775i −0.164538 0.986371i
\(449\) 18.6590 0.880574 0.440287 0.897857i \(-0.354877\pi\)
0.440287 + 0.897857i \(0.354877\pi\)
\(450\) 3.07783 + 0.164157i 0.145090 + 0.00773844i
\(451\) 13.1954 7.61837i 0.621348 0.358735i
\(452\) 40.5779 + 4.34082i 1.90863 + 0.204175i
\(453\) −7.79349 + 13.4987i −0.366170 + 0.634225i
\(454\) −9.77949 + 4.97151i −0.458974 + 0.233324i
\(455\) 11.4039 + 0.440415i 0.534623 + 0.0206470i
\(456\) 6.21537 + 1.00211i 0.291061 + 0.0469279i
\(457\) 5.65988 9.80320i 0.264758 0.458574i −0.702742 0.711445i \(-0.748041\pi\)
0.967500 + 0.252870i \(0.0813746\pi\)
\(458\) 3.78246 5.81270i 0.176743 0.271610i
\(459\) −4.04528 7.00663i −0.188818 0.327042i
\(460\) 0.829978 0.367692i 0.0386979 0.0171437i
\(461\) 25.4553 1.18557 0.592785 0.805360i \(-0.298028\pi\)
0.592785 + 0.805360i \(0.298028\pi\)
\(462\) 0.386179 4.19100i 0.0179667 0.194983i
\(463\) 6.76939i 0.314600i 0.987551 + 0.157300i \(0.0502790\pi\)
−0.987551 + 0.157300i \(0.949721\pi\)
\(464\) −6.51252 + 30.0911i −0.302336 + 1.39695i
\(465\) −0.209370 + 0.120880i −0.00970928 + 0.00560565i
\(466\) −13.2443 + 20.3532i −0.613531 + 0.942845i
\(467\) 18.0857 + 10.4418i 0.836908 + 0.483189i 0.856212 0.516625i \(-0.172812\pi\)
−0.0193043 + 0.999814i \(0.506145\pi\)
\(468\) 11.0797 15.1907i 0.512158 0.702190i
\(469\) 1.31432 2.08617i 0.0606897 0.0963302i
\(470\) −6.89156 13.5564i −0.317884 0.625312i
\(471\) 8.39613 + 4.84751i 0.386873 + 0.223361i
\(472\) −14.7618 + 5.61957i −0.679466 + 0.258662i
\(473\) 1.07944 + 1.86964i 0.0496325 + 0.0859660i
\(474\) 14.1243 + 0.753324i 0.648751 + 0.0346013i
\(475\) 2.45721i 0.112745i
\(476\) 7.15916 + 5.65754i 0.328140 + 0.259313i
\(477\) 18.8929i 0.865047i
\(478\) 1.69991 31.8722i 0.0777521 1.45780i
\(479\) −1.45807 2.52546i −0.0666211 0.115391i 0.830791 0.556585i \(-0.187889\pi\)
−0.897412 + 0.441194i \(0.854555\pi\)
\(480\) 1.34912 4.94343i 0.0615787 0.225635i
\(481\) 18.3272 + 10.5812i 0.835647 + 0.482461i
\(482\) −3.63070 + 1.84571i −0.165374 + 0.0840696i
\(483\) −0.507142 0.962355i −0.0230758 0.0437887i
\(484\) 11.1469 15.2828i 0.506676 0.694674i
\(485\) −3.40232 1.96433i −0.154491 0.0891956i
\(486\) −19.1412 12.4556i −0.868262 0.564998i
\(487\) 10.0582 5.80712i 0.455782 0.263146i −0.254487 0.967076i \(-0.581907\pi\)
0.710269 + 0.703930i \(0.248573\pi\)
\(488\) −1.65367 + 2.03056i −0.0748580 + 0.0919192i
\(489\) 22.7298i 1.02788i
\(490\) 3.79216 + 9.14437i 0.171312 + 0.413101i
\(491\) −2.26191 −0.102079 −0.0510393 0.998697i \(-0.516253\pi\)
−0.0510393 + 0.998697i \(0.516253\pi\)
\(492\) −9.00413 20.3247i −0.405937 0.916308i
\(493\) −6.63639 11.4946i −0.298888 0.517689i
\(494\) −12.5636 8.17545i −0.565265 0.367831i
\(495\) −1.35318 + 2.34377i −0.0608207 + 0.105345i
\(496\) −0.326134 1.01652i −0.0146439 0.0456431i
\(497\) −19.5689 + 10.3124i −0.877785 + 0.462575i
\(498\) −4.92948 9.69680i −0.220895 0.434524i
\(499\) 11.8706 20.5606i 0.531403 0.920417i −0.467925 0.883768i \(-0.654998\pi\)
0.999328 0.0366488i \(-0.0116683\pi\)
\(500\) −1.98865 0.212736i −0.0889353 0.00951385i
\(501\) −5.04511 + 2.91280i −0.225399 + 0.130134i
\(502\) −0.932008 + 17.4745i −0.0415976 + 0.779925i
\(503\) 11.0460 0.492515 0.246258 0.969204i \(-0.420799\pi\)
0.246258 + 0.969204i \(0.420799\pi\)
\(504\) 15.9894 + 3.21550i 0.712224 + 0.143230i
\(505\) 9.65888 0.429814
\(506\) −0.0424522 + 0.795949i −0.00188723 + 0.0353842i
\(507\) 4.39789 2.53912i 0.195317 0.112766i
\(508\) −1.10256 + 10.3068i −0.0489184 + 0.457288i
\(509\) −20.3574 + 35.2600i −0.902325 + 1.56287i −0.0778561 + 0.996965i \(0.524807\pi\)
−0.824469 + 0.565908i \(0.808526\pi\)
\(510\) 1.00108 + 1.96923i 0.0443285 + 0.0871988i
\(511\) 16.0769 + 10.1287i 0.711201 + 0.448069i
\(512\) 20.0750 + 10.4401i 0.887196 + 0.461392i
\(513\) −5.76433 + 9.98410i −0.254501 + 0.440809i
\(514\) 6.70331 + 4.36200i 0.295670 + 0.192400i
\(515\) −3.82962 6.63310i −0.168753 0.292289i
\(516\) 2.87978 1.27578i 0.126775 0.0561631i
\(517\) 13.3531 0.587269
\(518\) −1.68436 + 18.2795i −0.0740067 + 0.803157i
\(519\) 1.96705i 0.0863438i
\(520\) −7.70422 + 9.46012i −0.337852 + 0.414854i
\(521\) −27.7740 + 16.0353i −1.21680 + 0.702519i −0.964232 0.265060i \(-0.914608\pi\)
−0.252567 + 0.967579i \(0.581275\pi\)
\(522\) −19.8843 12.9392i −0.870314 0.566334i
\(523\) −18.8270 10.8698i −0.823246 0.475301i 0.0282888 0.999600i \(-0.490994\pi\)
−0.851534 + 0.524299i \(0.824328\pi\)
\(524\) 21.9331 + 15.9974i 0.958153 + 0.698850i
\(525\) −0.0924882 + 2.39485i −0.00403652 + 0.104520i
\(526\) 12.5575 6.38375i 0.547534 0.278345i
\(527\) 0.398569 + 0.230114i 0.0173619 + 0.0100239i
\(528\) 3.33251 + 3.02300i 0.145029 + 0.131559i
\(529\) −11.3970 19.7402i −0.495521 0.858268i
\(530\) −0.652927 + 12.2419i −0.0283613 + 0.531756i
\(531\) 12.1711i 0.528179i
\(532\) 1.88093 12.8656i 0.0815486 0.557793i
\(533\) 52.9276i 2.29255i
\(534\) −10.2132 0.544724i −0.441968 0.0235725i
\(535\) −8.44757 14.6316i −0.365220 0.632580i
\(536\) 0.937794 + 2.46345i 0.0405065 + 0.106405i
\(537\) −17.8640 10.3138i −0.770887 0.445072i
\(538\) −12.5328 24.6534i −0.540328 1.06288i
\(539\) −8.66642 0.670389i −0.373289 0.0288757i
\(540\) 7.58122 + 5.52953i 0.326244 + 0.237953i
\(541\) −10.7162 6.18701i −0.460726 0.266000i 0.251624 0.967825i \(-0.419036\pi\)
−0.712349 + 0.701825i \(0.752369\pi\)
\(542\) −24.8707 + 38.2201i −1.06829 + 1.64169i
\(543\) 15.9131 9.18742i 0.682895 0.394270i
\(544\) −9.43397 + 2.48112i −0.404478 + 0.106377i
\(545\) 9.16163i 0.392441i
\(546\) 11.9371 + 8.44085i 0.510859 + 0.361235i
\(547\) −31.3301 −1.33958 −0.669790 0.742551i \(-0.733616\pi\)
−0.669790 + 0.742551i \(0.733616\pi\)
\(548\) −10.4812 23.6588i −0.447734 1.01065i
\(549\) −1.00894 1.74753i −0.0430604 0.0745828i
\(550\) 0.957809 1.47191i 0.0408411 0.0627626i
\(551\) −9.45652 + 16.3792i −0.402861 + 0.697776i
\(552\) 1.14809 + 0.185106i 0.0488658 + 0.00787864i
\(553\) 1.12733 29.1905i 0.0479389 1.24131i
\(554\) −22.3232 + 11.3482i −0.948420 + 0.482140i
\(555\) −2.22208 + 3.84875i −0.0943220 + 0.163371i
\(556\) −3.78728 + 35.4035i −0.160617 + 1.50144i
\(557\) −10.6869 + 6.17008i −0.452818 + 0.261434i −0.709020 0.705189i \(-0.750862\pi\)
0.256202 + 0.966623i \(0.417529\pi\)
\(558\) 0.821439 + 0.0438117i 0.0347743 + 0.00185470i
\(559\) −7.49924 −0.317184
\(560\) −10.2494 2.63611i −0.433118 0.111396i
\(561\) −1.93969 −0.0818938
\(562\) −5.68225 0.303065i −0.239691 0.0127840i
\(563\) −1.58551 + 0.915395i −0.0668213 + 0.0385793i −0.533038 0.846091i \(-0.678950\pi\)
0.466217 + 0.884670i \(0.345617\pi\)
\(564\) 2.07223 19.3712i 0.0872568 0.815675i
\(565\) 10.2024 17.6710i 0.429217 0.743425i
\(566\) −23.9170 + 12.1585i −1.00531 + 0.511058i
\(567\) −3.22730 + 5.12255i −0.135534 + 0.215127i
\(568\) 3.76402 23.3456i 0.157935 0.979561i
\(569\) −0.0498347 + 0.0863162i −0.00208918 + 0.00361856i −0.867068 0.498190i \(-0.833998\pi\)
0.864979 + 0.501808i \(0.167332\pi\)
\(570\) 1.71687 2.63840i 0.0719116 0.110510i
\(571\) 12.9796 + 22.4813i 0.543178 + 0.940812i 0.998719 + 0.0505976i \(0.0161126\pi\)
−0.455541 + 0.890215i \(0.650554\pi\)
\(572\) −4.33910 9.79449i −0.181427 0.409528i
\(573\) 1.52586 0.0637437
\(574\) −41.6989 + 19.2105i −1.74048 + 0.801832i
\(575\) 0.453889i 0.0189285i
\(576\) −13.0217 + 11.5946i −0.542572 + 0.483109i
\(577\) 1.28600 0.742473i 0.0535369 0.0309096i −0.472993 0.881066i \(-0.656826\pi\)
0.526530 + 0.850157i \(0.323493\pi\)
\(578\) −10.8190 + 16.6261i −0.450011 + 0.691555i
\(579\) 19.3450 + 11.1688i 0.803950 + 0.464161i
\(580\) 12.4372 + 9.07133i 0.516425 + 0.376667i
\(581\) −19.8751 + 10.4738i −0.824557 + 0.434526i
\(582\) −2.28071 4.48639i −0.0945383 0.185967i
\(583\) −9.32223 5.38219i −0.386087 0.222908i
\(584\) −18.9844 + 7.22706i −0.785581 + 0.299058i
\(585\) −4.70051 8.14152i −0.194342 0.336610i
\(586\) −14.6653 0.782177i −0.605817 0.0323114i
\(587\) 31.1081i 1.28397i −0.766717 0.641985i \(-0.778111\pi\)
0.766717 0.641985i \(-0.221889\pi\)
\(588\) −2.31744 + 12.4682i −0.0955698 + 0.514182i
\(589\) 0.655802i 0.0270219i
\(590\) −0.420624 + 7.88641i −0.0173168 + 0.324678i
\(591\) −0.753830 1.30567i −0.0310084 0.0537081i
\(592\) −14.5351 13.1852i −0.597390 0.541907i
\(593\) −8.02645 4.63407i −0.329607 0.190299i 0.326060 0.945349i \(-0.394279\pi\)
−0.655667 + 0.755051i \(0.727612\pi\)
\(594\) −7.34469 + 3.73376i −0.301356 + 0.153198i
\(595\) 4.03623 2.12701i 0.165469 0.0871991i
\(596\) 23.7234 + 17.3032i 0.971747 + 0.708766i
\(597\) 10.0367 + 5.79467i 0.410773 + 0.237160i
\(598\) −2.32072 1.51015i −0.0949013 0.0617545i
\(599\) 3.48534 2.01226i 0.142407 0.0822188i −0.427104 0.904203i \(-0.640466\pi\)
0.569511 + 0.821984i \(0.307133\pi\)
\(600\) −1.98665 1.61791i −0.0811046 0.0660507i
\(601\) 23.8545i 0.973047i −0.873667 0.486524i \(-0.838265\pi\)
0.873667 0.486524i \(-0.161735\pi\)
\(602\) −2.72191 5.90825i −0.110937 0.240802i
\(603\) −2.03111 −0.0827131
\(604\) −31.4649 + 13.9394i −1.28029 + 0.567186i
\(605\) −4.72902 8.19090i −0.192262 0.333007i
\(606\) 10.3711 + 6.74871i 0.421297 + 0.274148i
\(607\) 18.6259 32.2611i 0.756003 1.30944i −0.188871 0.982002i \(-0.560483\pi\)
0.944874 0.327434i \(-0.106184\pi\)
\(608\) 9.78328 + 9.87419i 0.396764 + 0.400451i
\(609\) 9.83302 15.6075i 0.398454 0.632449i
\(610\) 0.593362 + 1.16721i 0.0240245 + 0.0472588i
\(611\) −23.1923 + 40.1702i −0.938258 + 1.62511i
\(612\) 0.799523 7.47393i 0.0323188 0.302116i
\(613\) 6.65132 3.84014i 0.268644 0.155102i −0.359627 0.933096i \(-0.617096\pi\)
0.628271 + 0.777994i \(0.283763\pi\)
\(614\) −1.61538 + 30.2872i −0.0651914 + 1.22229i
\(615\) −11.1149 −0.448198
\(616\) 6.14165 6.97354i 0.247454 0.280972i
\(617\) −27.6806 −1.11438 −0.557189 0.830386i \(-0.688120\pi\)
−0.557189 + 0.830386i \(0.688120\pi\)
\(618\) 0.522578 9.79797i 0.0210212 0.394132i
\(619\) 25.7376 14.8596i 1.03448 0.597258i 0.116216 0.993224i \(-0.462923\pi\)
0.918265 + 0.395966i \(0.129590\pi\)
\(620\) −0.530749 0.0567769i −0.0213154 0.00228021i
\(621\) −1.06477 + 1.84424i −0.0427277 + 0.0740066i
\(622\) −5.09799 10.0283i −0.204411 0.402098i
\(623\) −0.815164 + 21.1075i −0.0326589 + 0.845653i
\(624\) −14.8821 + 4.77470i −0.595762 + 0.191141i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) −12.3745 8.05239i −0.494585 0.321838i
\(627\) 1.38198 + 2.39366i 0.0551910 + 0.0955936i
\(628\) 8.67023 + 19.5710i 0.345980 + 0.780968i
\(629\) 8.46019 0.337330
\(630\) 4.70818 6.65831i 0.187578 0.265273i
\(631\) 1.25766i 0.0500665i −0.999687 0.0250332i \(-0.992031\pi\)
0.999687 0.0250332i \(-0.00796916\pi\)
\(632\) 24.2150 + 19.7205i 0.963223 + 0.784438i
\(633\) −13.1878 + 7.61400i −0.524170 + 0.302629i
\(634\) 8.02661 + 5.22310i 0.318777 + 0.207436i
\(635\) 4.48842 + 2.59139i 0.178117 + 0.102836i
\(636\) −9.25458 + 12.6884i −0.366968 + 0.503128i
\(637\) 17.0689 24.9068i 0.676296 0.986845i
\(638\) −12.0492 + 6.12532i −0.477031 + 0.242504i
\(639\) 15.7801 + 9.11067i 0.624253 + 0.360412i
\(640\) 8.83832 7.06287i 0.349365 0.279185i
\(641\) 24.7738 + 42.9096i 0.978508 + 1.69483i 0.667836 + 0.744309i \(0.267221\pi\)
0.310672 + 0.950517i \(0.399446\pi\)
\(642\) 1.15273 21.6129i 0.0454946 0.852992i
\(643\) 44.6117i 1.75931i 0.475608 + 0.879657i \(0.342228\pi\)
−0.475608 + 0.879657i \(0.657772\pi\)
\(644\) 0.347440 2.37649i 0.0136910 0.0936469i
\(645\) 1.57486i 0.0620100i
\(646\) −5.98389 0.319152i −0.235433 0.0125569i
\(647\) −16.9430 29.3462i −0.666098 1.15372i −0.978986 0.203926i \(-0.934630\pi\)
0.312888 0.949790i \(-0.398704\pi\)
\(648\) −2.30274 6.04896i −0.0904602 0.237626i
\(649\) −6.00550 3.46728i −0.235736 0.136103i
\(650\) 2.76440 + 5.43786i 0.108429 + 0.213290i
\(651\) −0.0246841 + 0.639158i −0.000967445 + 0.0250506i
\(652\) 29.5730 40.5458i 1.15817 1.58790i
\(653\) 31.0838 + 17.9462i 1.21640 + 0.702291i 0.964147 0.265370i \(-0.0854940\pi\)
0.252256 + 0.967660i \(0.418827\pi\)
\(654\) −6.40128 + 9.83717i −0.250310 + 0.384664i
\(655\) 11.7551 6.78684i 0.459312 0.265184i
\(656\) 10.3821 47.9705i 0.405353 1.87293i
\(657\) 15.6526i 0.610667i
\(658\) −40.0657 3.69185i −1.56193 0.143923i
\(659\) −2.82512 −0.110051 −0.0550255 0.998485i \(-0.517524\pi\)
−0.0550255 + 0.998485i \(0.517524\pi\)
\(660\) 2.05687 0.911222i 0.0800635 0.0354693i
\(661\) 8.31035 + 14.3939i 0.323235 + 0.559860i 0.981154 0.193230i \(-0.0618962\pi\)
−0.657919 + 0.753089i \(0.728563\pi\)
\(662\) 8.63593 13.2713i 0.335645 0.515803i
\(663\) 3.36894 5.83517i 0.130839 0.226619i
\(664\) 3.82291 23.7109i 0.148358 0.920162i
\(665\) −5.50054 3.46544i −0.213302 0.134384i
\(666\) 13.4798 6.85262i 0.522333 0.265534i
\(667\) −1.74678 + 3.02551i −0.0676356 + 0.117148i
\(668\) −12.7893 1.36813i −0.494833 0.0529347i
\(669\) −18.7250 + 10.8109i −0.723949 + 0.417972i
\(670\) 1.31608 + 0.0701938i 0.0508448 + 0.00271182i
\(671\) −1.14970 −0.0443837
\(672\) −9.16332 9.99183i −0.353483 0.385443i
\(673\) −28.1914 −1.08670 −0.543349 0.839507i \(-0.682844\pi\)
−0.543349 + 0.839507i \(0.682844\pi\)
\(674\) 34.5864 + 1.84467i 1.33222 + 0.0710542i
\(675\) 4.06319 2.34588i 0.156392 0.0902930i
\(676\) 11.1486 + 1.19262i 0.428792 + 0.0458700i
\(677\) −12.3523 + 21.3947i −0.474736 + 0.822266i −0.999581 0.0289312i \(-0.990790\pi\)
0.524846 + 0.851197i \(0.324123\pi\)
\(678\) 23.3015 11.8456i 0.894888 0.454926i
\(679\) −9.19555 + 4.84587i −0.352893 + 0.185968i
\(680\) −0.776357 + 4.81521i −0.0297719 + 0.184655i
\(681\) −3.51349 + 6.08554i −0.134637 + 0.233198i
\(682\) 0.255629 0.392838i 0.00978853 0.0150425i
\(683\) 1.55667 + 2.69624i 0.0595645 + 0.103169i 0.894270 0.447528i \(-0.147695\pi\)
−0.834706 + 0.550697i \(0.814362\pi\)
\(684\) −9.79279 + 4.33834i −0.374437 + 0.165881i
\(685\) −12.9383 −0.494345
\(686\) 25.8181 + 4.40757i 0.985739 + 0.168282i
\(687\) 4.44207i 0.169475i
\(688\) 6.79687 + 1.47102i 0.259128 + 0.0560823i
\(689\) 32.3825 18.6960i 1.23367 0.712262i
\(690\) 0.317135 0.487357i 0.0120731 0.0185534i
\(691\) −17.8344 10.2967i −0.678451 0.391704i 0.120820 0.992674i \(-0.461448\pi\)
−0.799271 + 0.600970i \(0.794781\pi\)
\(692\) 2.55926 3.50886i 0.0972886 0.133387i
\(693\) 3.33820 + 6.33457i 0.126808 + 0.240631i
\(694\) 10.5253 + 20.7043i 0.399534 + 0.785925i
\(695\) 15.4176 + 8.90137i 0.584824 + 0.337648i
\(696\) 7.01605 + 18.4301i 0.265943 + 0.698593i
\(697\) 10.5796 + 18.3243i 0.400729 + 0.694084i
\(698\) 0.270583 + 0.0144316i 0.0102417 + 0.000546245i
\(699\) 15.5539i 0.588304i
\(700\) −3.28084 + 4.15164i −0.124004 + 0.156917i
\(701\) 3.67022i 0.138622i 0.997595 + 0.0693111i \(0.0220801\pi\)
−0.997595 + 0.0693111i \(0.977920\pi\)
\(702\) 1.52432 28.5800i 0.0575318 1.07868i
\(703\) −6.02767 10.4402i −0.227338 0.393761i
\(704\) 2.01145 + 9.72830i 0.0758095 + 0.366649i
\(705\) −8.43584 4.87043i −0.317712 0.183431i
\(706\) −28.1791 + 14.3252i −1.06054 + 0.539135i
\(707\) 13.6220 21.6217i 0.512310 0.813167i
\(708\) −5.96192 + 8.17403i −0.224063 + 0.307199i
\(709\) −2.73543 1.57930i −0.102731 0.0593118i 0.447754 0.894157i \(-0.352224\pi\)
−0.550485 + 0.834845i \(0.685557\pi\)
\(710\) −9.91011 6.44874i −0.371920 0.242017i
\(711\) −20.8398 + 12.0319i −0.781554 + 0.451231i
\(712\) −17.5098 14.2597i −0.656206 0.534407i
\(713\) 0.121138i 0.00453665i
\(714\) 5.82000 + 0.536283i 0.217808 + 0.0200699i
\(715\) −5.35630 −0.200314
\(716\) −18.4472 41.6401i −0.689403 1.55616i
\(717\) −10.2220 17.7050i −0.381748 0.661206i
\(718\) −28.0243 18.2361i −1.04586 0.680564i
\(719\) 10.8001 18.7063i 0.402775 0.697626i −0.591285 0.806463i \(-0.701379\pi\)
0.994060 + 0.108837i \(0.0347125\pi\)
\(720\) 2.66326 + 8.30103i 0.0992537 + 0.309361i
\(721\) −20.2493 0.782023i −0.754125 0.0291241i
\(722\) −8.30708 16.3409i −0.309158 0.608146i
\(723\) −1.30440 + 2.25929i −0.0485113 + 0.0840241i
\(724\) 40.3395 + 4.31531i 1.49920 + 0.160377i
\(725\) 6.66576 3.84848i 0.247560 0.142929i
\(726\) 0.645307 12.0991i 0.0239496 0.449038i
\(727\) 48.4533 1.79703 0.898516 0.438941i \(-0.144646\pi\)
0.898516 + 0.438941i \(0.144646\pi\)
\(728\) 10.3114 + 30.5879i 0.382166 + 1.13366i
\(729\) −7.76263 −0.287505
\(730\) −0.540945 + 10.1423i −0.0200213 + 0.375385i
\(731\) −2.59635 + 1.49900i −0.0960294 + 0.0554426i
\(732\) −0.178419 + 1.66786i −0.00659455 + 0.0616457i
\(733\) 7.62984 13.2153i 0.281814 0.488117i −0.690017 0.723793i \(-0.742397\pi\)
0.971832 + 0.235676i \(0.0757304\pi\)
\(734\) 11.5373 + 22.6951i 0.425850 + 0.837693i
\(735\) 5.23050 + 3.58452i 0.192930 + 0.132217i
\(736\) 1.80714 + 1.82393i 0.0666121 + 0.0672310i
\(737\) −0.578619 + 1.00220i −0.0213137 + 0.0369165i
\(738\) 31.6991 + 20.6274i 1.16686 + 0.759303i
\(739\) 3.14394 + 5.44547i 0.115652 + 0.200315i 0.918040 0.396488i \(-0.129771\pi\)
−0.802388 + 0.596802i \(0.796438\pi\)
\(740\) −8.97127 + 3.97440i −0.329791 + 0.146102i
\(741\) −9.60113 −0.352706
\(742\) 26.4831 + 18.7266i 0.972225 + 0.687474i
\(743\) 32.4205i 1.18939i 0.803950 + 0.594697i \(0.202728\pi\)
−0.803950 + 0.594697i \(0.797272\pi\)
\(744\) −0.530215 0.431801i −0.0194386 0.0158306i
\(745\) 12.7146 7.34080i 0.465829 0.268946i
\(746\) −29.5233 19.2115i −1.08093 0.703383i
\(747\) 16.0270 + 9.25322i 0.586399 + 0.338558i
\(748\) −3.46005 2.52367i −0.126512 0.0922745i
\(749\) −44.6670 1.72503i −1.63210 0.0630311i
\(750\) −1.14196 + 0.580530i −0.0416987 + 0.0211980i
\(751\) 36.4730 + 21.0577i 1.33092 + 0.768406i 0.985440 0.170022i \(-0.0543837\pi\)
0.345477 + 0.938427i \(0.387717\pi\)
\(752\) 28.8997 31.8586i 1.05387 1.16176i
\(753\) 5.60440 + 9.70710i 0.204236 + 0.353747i
\(754\) 2.50069 46.8862i 0.0910697 1.70749i
\(755\) 17.2072i 0.626233i
\(756\) 23.0699 9.17241i 0.839045 0.333597i
\(757\) 14.3036i 0.519875i −0.965625 0.259937i \(-0.916298\pi\)
0.965625 0.259937i \(-0.0837019\pi\)
\(758\) 5.52960 + 0.294923i 0.200844 + 0.0107121i
\(759\) 0.255276 + 0.442150i 0.00926592 + 0.0160490i
\(760\) 6.49531 2.47266i 0.235610 0.0896927i
\(761\) 11.5548 + 6.67119i 0.418862 + 0.241830i 0.694590 0.719405i \(-0.255586\pi\)
−0.275728 + 0.961236i \(0.588919\pi\)
\(762\) 3.00876 + 5.91855i 0.108996 + 0.214406i
\(763\) 20.5086 + 12.9208i 0.742460 + 0.467763i
\(764\) 2.72186 + 1.98525i 0.0984733 + 0.0718238i
\(765\) −3.25477 1.87914i −0.117676 0.0679405i
\(766\) 12.7608 19.6102i 0.461067 0.708546i
\(767\) 20.8612 12.0442i 0.753255 0.434892i
\(768\) 14.4249 1.40828i 0.520513 0.0508170i
\(769\) 16.2042i 0.584338i 0.956367 + 0.292169i \(0.0943770\pi\)
−0.956367 + 0.292169i \(0.905623\pi\)
\(770\) −1.94411 4.21995i −0.0700610 0.152076i
\(771\) 5.12267 0.184489
\(772\) 19.9765 + 45.0923i 0.718971 + 1.62291i
\(773\) −6.10743 10.5784i −0.219669 0.380478i 0.735038 0.678026i \(-0.237164\pi\)
−0.954707 + 0.297548i \(0.903831\pi\)