Properties

Label 546.2.bv.a.515.35
Level $546$
Weight $2$
Character 546.515
Analytic conductor $4.360$
Analytic rank $0$
Dimension $144$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bv (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(144\)
Relative dimension: \(36\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 515.35
Character \(\chi\) \(=\) 546.515
Dual form 546.2.bv.a.317.35

$q$-expansion

\(f(q)\) \(=\) \(q+(0.965926 + 0.258819i) q^{2} +(1.64650 - 0.537619i) q^{3} +(0.866025 + 0.500000i) q^{4} +(-3.24035 - 0.868248i) q^{5} +(1.72954 - 0.0931546i) q^{6} +(-1.25441 - 2.32948i) q^{7} +(0.707107 + 0.707107i) q^{8} +(2.42193 - 1.77038i) q^{9} +O(q^{10})\) \(q+(0.965926 + 0.258819i) q^{2} +(1.64650 - 0.537619i) q^{3} +(0.866025 + 0.500000i) q^{4} +(-3.24035 - 0.868248i) q^{5} +(1.72954 - 0.0931546i) q^{6} +(-1.25441 - 2.32948i) q^{7} +(0.707107 + 0.707107i) q^{8} +(2.42193 - 1.77038i) q^{9} +(-2.90521 - 1.67733i) q^{10} +(6.11240 - 1.63781i) q^{11} +(1.69472 + 0.357658i) q^{12} +(-0.0266902 - 3.60545i) q^{13} +(-0.608755 - 2.57477i) q^{14} +(-5.80202 + 0.312501i) q^{15} +(0.500000 + 0.866025i) q^{16} +(-2.03425 + 3.52342i) q^{17} +(2.79761 - 1.08322i) q^{18} +(0.600144 - 2.23977i) q^{19} +(-2.37210 - 2.37210i) q^{20} +(-3.31776 - 3.16109i) q^{21} +6.32802 q^{22} +(2.74170 + 4.74876i) q^{23} +(1.54441 + 0.784098i) q^{24} +(5.41586 + 3.12685i) q^{25} +(0.907379 - 3.48951i) q^{26} +(3.03592 - 4.21701i) q^{27} +(0.0783861 - 2.64459i) q^{28} -0.127692i q^{29} +(-5.68520 - 1.19982i) q^{30} +(1.65420 - 0.443241i) q^{31} +(0.258819 + 0.965926i) q^{32} +(9.18355 - 5.98280i) q^{33} +(-2.87686 + 2.87686i) q^{34} +(2.04216 + 8.63745i) q^{35} +(2.98264 - 0.322230i) q^{36} +(-7.58283 - 2.03181i) q^{37} +(1.15939 - 2.00812i) q^{38} +(-1.98231 - 5.92203i) q^{39} +(-1.67733 - 2.90521i) q^{40} +(-7.12298 + 7.12298i) q^{41} +(-2.38656 - 3.91208i) q^{42} +2.56093i q^{43} +(6.11240 + 1.63781i) q^{44} +(-9.38502 + 3.63381i) q^{45} +(1.41921 + 5.29656i) q^{46} +(-2.54114 + 9.48367i) q^{47} +(1.28884 + 1.15710i) q^{48} +(-3.85291 + 5.84424i) q^{49} +(4.42203 + 4.42203i) q^{50} +(-1.45513 + 6.89496i) q^{51} +(1.77961 - 3.13576i) q^{52} +(-2.68874 - 1.55235i) q^{53} +(4.02392 - 3.28757i) q^{54} -21.2283 q^{55} +(0.760185 - 2.53419i) q^{56} +(-0.216005 - 4.01043i) q^{57} +(0.0330492 - 0.123341i) q^{58} +(6.18587 - 1.65750i) q^{59} +(-5.18095 - 2.63038i) q^{60} +(1.79532 + 3.10959i) q^{61} +1.71255 q^{62} +(-7.16216 - 3.42104i) q^{63} +1.00000i q^{64} +(-3.04394 + 11.7061i) q^{65} +(10.4191 - 3.40207i) q^{66} +(3.15651 - 0.845785i) q^{67} +(-3.52342 + 2.03425i) q^{68} +(7.06724 + 6.34485i) q^{69} +(-0.262958 + 8.87168i) q^{70} +(8.71117 - 8.71117i) q^{71} +(2.96441 + 0.460715i) q^{72} +(1.09357 + 4.08124i) q^{73} +(-6.79858 - 3.92516i) q^{74} +(10.5983 + 2.23669i) q^{75} +(1.63962 - 1.63962i) q^{76} +(-11.4827 - 12.1842i) q^{77} +(-0.382026 - 6.23330i) q^{78} +(3.01834 + 5.22792i) q^{79} +(-0.868248 - 3.24035i) q^{80} +(2.73150 - 8.57548i) q^{81} +(-8.72383 + 5.03671i) q^{82} +(0.395201 - 0.395201i) q^{83} +(-1.29272 - 4.39646i) q^{84} +(9.65087 - 9.65087i) q^{85} +(-0.662816 + 2.47366i) q^{86} +(-0.0686499 - 0.210246i) q^{87} +(5.48023 + 3.16401i) q^{88} +(0.836494 - 3.12184i) q^{89} +(-10.0057 + 1.08097i) q^{90} +(-8.36533 + 4.58489i) q^{91} +5.48340i q^{92} +(2.48534 - 1.61912i) q^{93} +(-4.90911 + 8.50283i) q^{94} +(-3.88935 + 6.73655i) q^{95} +(0.945446 + 1.45125i) q^{96} +(2.43118 + 2.43118i) q^{97} +(-5.23422 + 4.64789i) q^{98} +(11.9043 - 14.7879i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144q - 16q^{7} + O(q^{10}) \) \( 144q - 16q^{7} + 72q^{16} + 16q^{18} + 8q^{19} + 8q^{21} + 24q^{27} - 8q^{28} - 8q^{31} + 12q^{33} - 8q^{37} + 16q^{39} - 40q^{45} + 8q^{46} + 8q^{52} - 12q^{54} - 32q^{55} + 16q^{57} + 8q^{58} - 32q^{61} - 40q^{63} - 32q^{66} - 8q^{67} + 16q^{72} + 80q^{73} - 16q^{76} + 16q^{78} - 112q^{79} - 48q^{81} + 16q^{84} - 80q^{85} + 96q^{87} - 32q^{91} + 36q^{93} - 64q^{94} - 144q^{97} - 32q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(-1\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.965926 + 0.258819i 0.683013 + 0.183013i
\(3\) 1.64650 0.537619i 0.950608 0.310395i
\(4\) 0.866025 + 0.500000i 0.433013 + 0.250000i
\(5\) −3.24035 0.868248i −1.44913 0.388292i −0.553407 0.832911i \(-0.686673\pi\)
−0.895720 + 0.444619i \(0.853339\pi\)
\(6\) 1.72954 0.0931546i 0.706083 0.0380302i
\(7\) −1.25441 2.32948i −0.474123 0.880459i
\(8\) 0.707107 + 0.707107i 0.250000 + 0.250000i
\(9\) 2.42193 1.77038i 0.807310 0.590127i
\(10\) −2.90521 1.67733i −0.918710 0.530417i
\(11\) 6.11240 1.63781i 1.84296 0.493819i 0.843871 0.536546i \(-0.180271\pi\)
0.999087 + 0.0427270i \(0.0136046\pi\)
\(12\) 1.69472 + 0.357658i 0.489224 + 0.103247i
\(13\) −0.0266902 3.60545i −0.00740253 0.999973i
\(14\) −0.608755 2.57477i −0.162697 0.688135i
\(15\) −5.80202 + 0.312501i −1.49808 + 0.0806875i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) −2.03425 + 3.52342i −0.493377 + 0.854555i −0.999971 0.00763036i \(-0.997571\pi\)
0.506594 + 0.862185i \(0.330904\pi\)
\(18\) 2.79761 1.08322i 0.659404 0.255316i
\(19\) 0.600144 2.23977i 0.137683 0.513838i −0.862290 0.506415i \(-0.830970\pi\)
0.999972 0.00742326i \(-0.00236292\pi\)
\(20\) −2.37210 2.37210i −0.530417 0.530417i
\(21\) −3.31776 3.16109i −0.723994 0.689806i
\(22\) 6.32802 1.34914
\(23\) 2.74170 + 4.74876i 0.571684 + 0.990185i 0.996393 + 0.0848557i \(0.0270429\pi\)
−0.424709 + 0.905330i \(0.639624\pi\)
\(24\) 1.54441 + 0.784098i 0.315251 + 0.160053i
\(25\) 5.41586 + 3.12685i 1.08317 + 0.625370i
\(26\) 0.907379 3.48951i 0.177952 0.684349i
\(27\) 3.03592 4.21701i 0.584263 0.811564i
\(28\) 0.0783861 2.64459i 0.0148136 0.499781i
\(29\) 0.127692i 0.0237119i −0.999930 0.0118559i \(-0.996226\pi\)
0.999930 0.0118559i \(-0.00377395\pi\)
\(30\) −5.68520 1.19982i −1.03797 0.219056i
\(31\) 1.65420 0.443241i 0.297103 0.0796084i −0.107189 0.994239i \(-0.534185\pi\)
0.404291 + 0.914630i \(0.367518\pi\)
\(32\) 0.258819 + 0.965926i 0.0457532 + 0.170753i
\(33\) 9.18355 5.98280i 1.59865 1.04147i
\(34\) −2.87686 + 2.87686i −0.493377 + 0.493377i
\(35\) 2.04216 + 8.63745i 0.345188 + 1.45999i
\(36\) 2.98264 0.322230i 0.497107 0.0537050i
\(37\) −7.58283 2.03181i −1.24661 0.334028i −0.425584 0.904919i \(-0.639931\pi\)
−0.821026 + 0.570891i \(0.806598\pi\)
\(38\) 1.15939 2.00812i 0.188078 0.325760i
\(39\) −1.98231 5.92203i −0.317423 0.948284i
\(40\) −1.67733 2.90521i −0.265209 0.459355i
\(41\) −7.12298 + 7.12298i −1.11242 + 1.11242i −0.119600 + 0.992822i \(0.538161\pi\)
−0.992822 + 0.119600i \(0.961839\pi\)
\(42\) −2.38656 3.91208i −0.368254 0.603646i
\(43\) 2.56093i 0.390538i 0.980750 + 0.195269i \(0.0625579\pi\)
−0.980750 + 0.195269i \(0.937442\pi\)
\(44\) 6.11240 + 1.63781i 0.921479 + 0.246910i
\(45\) −9.38502 + 3.63381i −1.39904 + 0.541697i
\(46\) 1.41921 + 5.29656i 0.209251 + 0.780935i
\(47\) −2.54114 + 9.48367i −0.370664 + 1.38334i 0.488914 + 0.872332i \(0.337393\pi\)
−0.859578 + 0.511004i \(0.829274\pi\)
\(48\) 1.28884 + 1.15710i 0.186028 + 0.167013i
\(49\) −3.85291 + 5.84424i −0.550415 + 0.834891i
\(50\) 4.42203 + 4.42203i 0.625370 + 0.625370i
\(51\) −1.45513 + 6.89496i −0.203759 + 0.965488i
\(52\) 1.77961 3.13576i 0.246788 0.434851i
\(53\) −2.68874 1.55235i −0.369327 0.213231i 0.303837 0.952724i \(-0.401732\pi\)
−0.673165 + 0.739493i \(0.735065\pi\)
\(54\) 4.02392 3.28757i 0.547586 0.447381i
\(55\) −21.2283 −2.86243
\(56\) 0.760185 2.53419i 0.101584 0.338645i
\(57\) −0.216005 4.01043i −0.0286106 0.531195i
\(58\) 0.0330492 0.123341i 0.00433957 0.0161955i
\(59\) 6.18587 1.65750i 0.805332 0.215788i 0.167408 0.985888i \(-0.446460\pi\)
0.637924 + 0.770100i \(0.279793\pi\)
\(60\) −5.18095 2.63038i −0.668857 0.339580i
\(61\) 1.79532 + 3.10959i 0.229867 + 0.398142i 0.957769 0.287540i \(-0.0928374\pi\)
−0.727901 + 0.685682i \(0.759504\pi\)
\(62\) 1.71255 0.217494
\(63\) −7.16216 3.42104i −0.902347 0.431011i
\(64\) 1.00000i 0.125000i
\(65\) −3.04394 + 11.7061i −0.377555 + 1.45196i
\(66\) 10.4191 3.40207i 1.28250 0.418766i
\(67\) 3.15651 0.845785i 0.385629 0.103329i −0.0607954 0.998150i \(-0.519364\pi\)
0.446425 + 0.894821i \(0.352697\pi\)
\(68\) −3.52342 + 2.03425i −0.427277 + 0.246689i
\(69\) 7.06724 + 6.34485i 0.850795 + 0.763830i
\(70\) −0.262958 + 8.87168i −0.0314295 + 1.06037i
\(71\) 8.71117 8.71117i 1.03383 1.03383i 0.0344187 0.999408i \(-0.489042\pi\)
0.999408 0.0344187i \(-0.0109580\pi\)
\(72\) 2.96441 + 0.460715i 0.349359 + 0.0542958i
\(73\) 1.09357 + 4.08124i 0.127992 + 0.477673i 0.999929 0.0119458i \(-0.00380255\pi\)
−0.871937 + 0.489619i \(0.837136\pi\)
\(74\) −6.79858 3.92516i −0.790319 0.456291i
\(75\) 10.5983 + 2.23669i 1.22378 + 0.258270i
\(76\) 1.63962 1.63962i 0.188078 0.188078i
\(77\) −11.4827 12.1842i −1.30858 1.38852i
\(78\) −0.382026 6.23330i −0.0432560 0.705782i
\(79\) 3.01834 + 5.22792i 0.339590 + 0.588187i 0.984356 0.176193i \(-0.0563784\pi\)
−0.644766 + 0.764380i \(0.723045\pi\)
\(80\) −0.868248 3.24035i −0.0970731 0.362282i
\(81\) 2.73150 8.57548i 0.303500 0.952832i
\(82\) −8.72383 + 5.03671i −0.963386 + 0.556211i
\(83\) 0.395201 0.395201i 0.0433790 0.0433790i −0.685085 0.728464i \(-0.740235\pi\)
0.728464 + 0.685085i \(0.240235\pi\)
\(84\) −1.29272 4.39646i −0.141047 0.479693i
\(85\) 9.65087 9.65087i 1.04678 1.04678i
\(86\) −0.662816 + 2.47366i −0.0714733 + 0.266742i
\(87\) −0.0686499 0.210246i −0.00736004 0.0225407i
\(88\) 5.48023 + 3.16401i 0.584194 + 0.337285i
\(89\) 0.836494 3.12184i 0.0886682 0.330914i −0.907315 0.420451i \(-0.861872\pi\)
0.995984 + 0.0895366i \(0.0285386\pi\)
\(90\) −10.0057 + 1.08097i −1.05470 + 0.113944i
\(91\) −8.36533 + 4.58489i −0.876925 + 0.480627i
\(92\) 5.48340i 0.571684i
\(93\) 2.48534 1.61912i 0.257718 0.167895i
\(94\) −4.90911 + 8.50283i −0.506336 + 0.877000i
\(95\) −3.88935 + 6.73655i −0.399039 + 0.691156i
\(96\) 0.945446 + 1.45125i 0.0964942 + 0.148118i
\(97\) 2.43118 + 2.43118i 0.246849 + 0.246849i 0.819676 0.572827i \(-0.194153\pi\)
−0.572827 + 0.819676i \(0.694153\pi\)
\(98\) −5.23422 + 4.64789i −0.528736 + 0.469508i
\(99\) 11.9043 14.7879i 1.19642 1.48624i
\(100\) 3.12685 + 5.41586i 0.312685 + 0.541586i
\(101\) −0.867612 + 1.50275i −0.0863306 + 0.149529i −0.905957 0.423369i \(-0.860847\pi\)
0.819627 + 0.572898i \(0.194181\pi\)
\(102\) −3.19010 + 6.28341i −0.315867 + 0.622150i
\(103\) 11.0778 6.39579i 1.09153 0.630196i 0.157548 0.987511i \(-0.449641\pi\)
0.933984 + 0.357315i \(0.116308\pi\)
\(104\) 2.53057 2.56831i 0.248143 0.251844i
\(105\) 8.00608 + 13.1237i 0.781313 + 1.28074i
\(106\) −2.19535 2.19535i −0.213231 0.213231i
\(107\) −15.1052 + 8.72097i −1.46027 + 0.843088i −0.999023 0.0441826i \(-0.985932\pi\)
−0.461248 + 0.887271i \(0.652598\pi\)
\(108\) 4.73769 2.13408i 0.455884 0.205352i
\(109\) 5.10102 1.36681i 0.488589 0.130917i −0.00611014 0.999981i \(-0.501945\pi\)
0.494699 + 0.869064i \(0.335278\pi\)
\(110\) −20.5050 5.49429i −1.95507 0.523860i
\(111\) −13.5775 + 0.731294i −1.28872 + 0.0694114i
\(112\) 1.39018 2.25109i 0.131360 0.212708i
\(113\) 0.606621i 0.0570661i 0.999593 + 0.0285331i \(0.00908359\pi\)
−0.999593 + 0.0285331i \(0.990916\pi\)
\(114\) 0.829331 3.92968i 0.0776740 0.368049i
\(115\) −4.76095 17.7681i −0.443961 1.65688i
\(116\) 0.0638462 0.110585i 0.00592797 0.0102675i
\(117\) −6.44767 8.68490i −0.596087 0.802920i
\(118\) 6.40409 0.589544
\(119\) 10.7595 + 0.318913i 0.986322 + 0.0292347i
\(120\) −4.32362 3.88168i −0.394691 0.354347i
\(121\) 25.1527 14.5219i 2.28661 1.32018i
\(122\) 0.929327 + 3.46830i 0.0841373 + 0.314005i
\(123\) −7.89854 + 15.5574i −0.712187 + 1.40277i
\(124\) 1.65420 + 0.443241i 0.148551 + 0.0398042i
\(125\) −2.97389 2.97389i −0.265993 0.265993i
\(126\) −6.03268 5.15818i −0.537434 0.459527i
\(127\) 20.5110i 1.82006i 0.414543 + 0.910030i \(0.363941\pi\)
−0.414543 + 0.910030i \(0.636059\pi\)
\(128\) −0.258819 + 0.965926i −0.0228766 + 0.0853766i
\(129\) 1.37680 + 4.21657i 0.121221 + 0.371248i
\(130\) −5.96998 + 10.5194i −0.523602 + 0.922611i
\(131\) 3.33860 1.92754i 0.291695 0.168410i −0.347011 0.937861i \(-0.612803\pi\)
0.638706 + 0.769451i \(0.279470\pi\)
\(132\) 10.9446 0.589485i 0.952604 0.0513080i
\(133\) −5.97031 + 1.41157i −0.517692 + 0.122399i
\(134\) 3.26786 0.282300
\(135\) −13.4988 + 11.0286i −1.16180 + 0.949195i
\(136\) −3.92986 + 1.05300i −0.336983 + 0.0902943i
\(137\) 2.36895 0.634758i 0.202393 0.0542311i −0.156198 0.987726i \(-0.549924\pi\)
0.358591 + 0.933495i \(0.383257\pi\)
\(138\) 5.18426 + 7.95779i 0.441313 + 0.677412i
\(139\) 17.2879 1.46634 0.733171 0.680044i \(-0.238039\pi\)
0.733171 + 0.680044i \(0.238039\pi\)
\(140\) −2.55016 + 8.50133i −0.215528 + 0.718493i
\(141\) 0.914613 + 16.9810i 0.0770243 + 1.43006i
\(142\) 10.6690 6.15973i 0.895320 0.516913i
\(143\) −6.06820 21.9943i −0.507448 1.83925i
\(144\) 2.74416 + 1.21226i 0.228680 + 0.101022i
\(145\) −0.110869 + 0.413767i −0.00920714 + 0.0343615i
\(146\) 4.22521i 0.349681i
\(147\) −3.20184 + 11.6939i −0.264083 + 0.964500i
\(148\) −5.55102 5.55102i −0.456291 0.456291i
\(149\) −5.67339 1.52018i −0.464783 0.124538i 0.0188255 0.999823i \(-0.494007\pi\)
−0.483608 + 0.875285i \(0.660674\pi\)
\(150\) 9.65825 + 4.90351i 0.788593 + 0.400370i
\(151\) −2.81919 10.5214i −0.229423 0.856217i −0.980584 0.196098i \(-0.937173\pi\)
0.751162 0.660118i \(-0.229494\pi\)
\(152\) 2.00812 1.15939i 0.162880 0.0940389i
\(153\) 1.31099 + 12.1349i 0.105987 + 0.981046i
\(154\) −7.93794 14.7410i −0.639657 1.18786i
\(155\) −5.74501 −0.461451
\(156\) 1.24429 6.11978i 0.0996228 0.489975i
\(157\) −3.72889 + 6.45864i −0.297598 + 0.515455i −0.975586 0.219618i \(-0.929519\pi\)
0.677988 + 0.735073i \(0.262852\pi\)
\(158\) 1.56241 + 5.83099i 0.124298 + 0.463888i
\(159\) −5.26159 1.11042i −0.417271 0.0880620i
\(160\) 3.35465i 0.265209i
\(161\) 7.62291 12.3436i 0.600769 0.972813i
\(162\) 4.85792 7.57632i 0.381674 0.595252i
\(163\) −8.96107 2.40111i −0.701885 0.188070i −0.109810 0.993953i \(-0.535024\pi\)
−0.592075 + 0.805883i \(0.701691\pi\)
\(164\) −9.73017 + 2.60719i −0.759799 + 0.203587i
\(165\) −34.9524 + 11.4128i −2.72104 + 0.888482i
\(166\) 0.484021 0.279450i 0.0375673 0.0216895i
\(167\) −7.85626 7.85626i −0.607935 0.607935i 0.334471 0.942406i \(-0.391442\pi\)
−0.942406 + 0.334471i \(0.891442\pi\)
\(168\) −0.110784 4.58124i −0.00854714 0.353450i
\(169\) −12.9986 + 0.192461i −0.999890 + 0.0148047i
\(170\) 11.8198 6.82419i 0.906541 0.523392i
\(171\) −2.51174 6.48705i −0.192077 0.496077i
\(172\) −1.28046 + 2.21783i −0.0976344 + 0.169108i
\(173\) 7.45262 + 12.9083i 0.566612 + 0.981401i 0.996898 + 0.0787079i \(0.0250794\pi\)
−0.430286 + 0.902693i \(0.641587\pi\)
\(174\) −0.0118951 0.220850i −0.000901768 0.0167426i
\(175\) 0.490203 16.5385i 0.0370559 1.25019i
\(176\) 4.47459 + 4.47459i 0.337285 + 0.337285i
\(177\) 9.29394 6.05472i 0.698576 0.455101i
\(178\) 1.61598 2.79896i 0.121123 0.209791i
\(179\) −4.86804 + 8.43169i −0.363854 + 0.630214i −0.988592 0.150621i \(-0.951873\pi\)
0.624737 + 0.780835i \(0.285206\pi\)
\(180\) −9.94458 1.54554i −0.741225 0.115198i
\(181\) 0.413098i 0.0307053i −0.999882 0.0153527i \(-0.995113\pi\)
0.999882 0.0153527i \(-0.00488710\pi\)
\(182\) −9.26695 + 2.26356i −0.686912 + 0.167786i
\(183\) 4.62777 + 4.15474i 0.342095 + 0.307127i
\(184\) −1.41921 + 5.29656i −0.104625 + 0.390467i
\(185\) 22.8069 + 13.1676i 1.67679 + 0.968098i
\(186\) 2.81972 0.920700i 0.206752 0.0675090i
\(187\) −6.66343 + 24.8683i −0.487278 + 1.81855i
\(188\) −6.94253 + 6.94253i −0.506336 + 0.506336i
\(189\) −13.6317 1.78224i −0.991561 0.129639i
\(190\) −5.50037 + 5.50037i −0.399039 + 0.399039i
\(191\) −21.0580 + 12.1578i −1.52370 + 0.879711i −0.524098 + 0.851658i \(0.675597\pi\)
−0.999606 + 0.0280531i \(0.991069\pi\)
\(192\) 0.537619 + 1.64650i 0.0387993 + 0.118826i
\(193\) 0.225659 + 0.842169i 0.0162433 + 0.0606207i 0.973572 0.228381i \(-0.0733433\pi\)
−0.957329 + 0.289002i \(0.906677\pi\)
\(194\) 1.71910 + 2.97758i 0.123424 + 0.213777i
\(195\) 1.28157 + 20.9106i 0.0917749 + 1.49744i
\(196\) −6.25883 + 3.13480i −0.447060 + 0.223915i
\(197\) 3.35030 3.35030i 0.238699 0.238699i −0.577612 0.816311i \(-0.696015\pi\)
0.816311 + 0.577612i \(0.196015\pi\)
\(198\) 15.3260 11.2030i 1.08917 0.796163i
\(199\) −19.7369 11.3951i −1.39911 0.807778i −0.404813 0.914400i \(-0.632663\pi\)
−0.994300 + 0.106622i \(0.965997\pi\)
\(200\) 1.61858 + 6.04061i 0.114451 + 0.427135i
\(201\) 4.74249 3.08959i 0.334509 0.217923i
\(202\) −1.22699 + 1.22699i −0.0863306 + 0.0863306i
\(203\) −0.297456 + 0.160179i −0.0208773 + 0.0112423i
\(204\) −4.70766 + 5.24365i −0.329602 + 0.367129i
\(205\) 29.2654 16.8964i 2.04399 1.18010i
\(206\) 12.3557 3.31071i 0.860864 0.230668i
\(207\) 15.0473 + 6.64732i 1.04586 + 0.462021i
\(208\) 3.10907 1.82584i 0.215575 0.126599i
\(209\) 14.6733i 1.01497i
\(210\) 4.33663 + 14.7486i 0.299256 + 1.01775i
\(211\) 13.7192 0.944470 0.472235 0.881473i \(-0.343447\pi\)
0.472235 + 0.881473i \(0.343447\pi\)
\(212\) −1.55235 2.68874i −0.106616 0.184664i
\(213\) 9.65966 19.0263i 0.661869 1.30366i
\(214\) −16.8476 + 4.51431i −1.15168 + 0.308592i
\(215\) 2.22352 8.29829i 0.151643 0.565938i
\(216\) 5.12860 0.835158i 0.348957 0.0568253i
\(217\) −3.10756 3.29740i −0.210955 0.223842i
\(218\) 5.28096 0.357672
\(219\) 3.99471 + 6.13185i 0.269938 + 0.414352i
\(220\) −18.3843 10.6142i −1.23947 0.715606i
\(221\) 12.7578 + 7.24034i 0.858183 + 0.487038i
\(222\) −13.3041 2.80773i −0.892913 0.188443i
\(223\) −4.07576 4.07576i −0.272933 0.272933i 0.557347 0.830280i \(-0.311819\pi\)
−0.830280 + 0.557347i \(0.811819\pi\)
\(224\) 1.92543 1.81458i 0.128649 0.121242i
\(225\) 18.6526 2.01513i 1.24350 0.134342i
\(226\) −0.157005 + 0.585951i −0.0104438 + 0.0389769i
\(227\) −4.41341 16.4711i −0.292928 1.09322i −0.942849 0.333221i \(-0.891865\pi\)
0.649921 0.760002i \(-0.274802\pi\)
\(228\) 1.81815 3.58114i 0.120410 0.237167i
\(229\) 9.59834 + 2.57187i 0.634276 + 0.169954i 0.561609 0.827403i \(-0.310182\pi\)
0.0726666 + 0.997356i \(0.476849\pi\)
\(230\) 18.3949i 1.21292i
\(231\) −25.4567 13.8880i −1.67493 0.913761i
\(232\) 0.0902921 0.0902921i 0.00592797 0.00592797i
\(233\) 9.19291 + 15.9226i 0.602248 + 1.04312i 0.992480 + 0.122407i \(0.0390613\pi\)
−0.390232 + 0.920716i \(0.627605\pi\)
\(234\) −3.98015 10.0578i −0.260191 0.657496i
\(235\) 16.4684 28.5240i 1.07428 1.86070i
\(236\) 6.18587 + 1.65750i 0.402666 + 0.107894i
\(237\) 7.78033 + 6.98505i 0.505387 + 0.453728i
\(238\) 10.3103 + 3.09281i 0.668320 + 0.200477i
\(239\) −3.07854 + 3.07854i −0.199134 + 0.199134i −0.799629 0.600495i \(-0.794970\pi\)
0.600495 + 0.799629i \(0.294970\pi\)
\(240\) −3.17164 4.86845i −0.204729 0.314257i
\(241\) −4.61685 17.2303i −0.297397 1.10990i −0.939295 0.343112i \(-0.888519\pi\)
0.641897 0.766791i \(-0.278148\pi\)
\(242\) 28.0542 7.51710i 1.80339 0.483218i
\(243\) −0.112933 15.5880i −0.00724462 0.999974i
\(244\) 3.59064i 0.229867i
\(245\) 17.5590 15.5921i 1.12180 0.996141i
\(246\) −11.6560 + 12.9830i −0.743157 + 0.827769i
\(247\) −8.09140 2.10401i −0.514843 0.133875i
\(248\) 1.48311 + 0.856275i 0.0941777 + 0.0543735i
\(249\) 0.438232 0.863167i 0.0277718 0.0547010i
\(250\) −2.10286 3.64226i −0.132997 0.230357i
\(251\) −25.3659 −1.60108 −0.800542 0.599276i \(-0.795455\pi\)
−0.800542 + 0.599276i \(0.795455\pi\)
\(252\) −4.49209 6.54379i −0.282975 0.412220i
\(253\) 24.5359 + 24.5359i 1.54256 + 1.54256i
\(254\) −5.30864 + 19.8121i −0.333094 + 1.24312i
\(255\) 10.7017 21.0787i 0.670164 1.32000i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −11.3035 19.5783i −0.705096 1.22126i −0.966657 0.256075i \(-0.917571\pi\)
0.261561 0.965187i \(-0.415763\pi\)
\(258\) 0.238562 + 4.42923i 0.0148522 + 0.275752i
\(259\) 4.77892 + 20.2127i 0.296948 + 1.25596i
\(260\) −8.48917 + 8.61580i −0.526476 + 0.534329i
\(261\) −0.226064 0.309262i −0.0139930 0.0191428i
\(262\) 3.72373 0.997770i 0.230053 0.0616424i
\(263\) −16.2993 9.41043i −1.00506 0.580272i −0.0953187 0.995447i \(-0.530387\pi\)
−0.909742 + 0.415175i \(0.863720\pi\)
\(264\) 10.7242 + 2.26327i 0.660031 + 0.139295i
\(265\) 7.36464 + 7.36464i 0.452406 + 0.452406i
\(266\) −6.13222 0.181760i −0.375991 0.0111444i
\(267\) −0.301072 5.58982i −0.0184253 0.342092i
\(268\) 3.15651 + 0.845785i 0.192815 + 0.0516645i
\(269\) 4.49802 + 2.59693i 0.274249 + 0.158338i 0.630817 0.775932i \(-0.282720\pi\)
−0.356568 + 0.934269i \(0.616053\pi\)
\(270\) −15.8933 + 7.15910i −0.967236 + 0.435689i
\(271\) −4.20199 1.12592i −0.255253 0.0683948i 0.128923 0.991655i \(-0.458848\pi\)
−0.384176 + 0.923260i \(0.625515\pi\)
\(272\) −4.06849 −0.246689
\(273\) −11.3086 + 12.0464i −0.684428 + 0.729081i
\(274\) 2.45252 0.148162
\(275\) 38.2251 + 10.2424i 2.30506 + 0.617639i
\(276\) 2.94798 + 9.02842i 0.177448 + 0.543447i
\(277\) −6.13780 3.54366i −0.368785 0.212918i 0.304143 0.952627i \(-0.401630\pi\)
−0.672928 + 0.739708i \(0.734963\pi\)
\(278\) 16.6989 + 4.47444i 1.00153 + 0.268359i
\(279\) 3.22165 4.00206i 0.192875 0.239597i
\(280\) −4.66357 + 7.55162i −0.278702 + 0.451296i
\(281\) −7.47121 7.47121i −0.445695 0.445695i 0.448226 0.893920i \(-0.352056\pi\)
−0.893920 + 0.448226i \(0.852056\pi\)
\(282\) −3.51157 + 16.6392i −0.209111 + 0.990847i
\(283\) 10.1109 + 5.83755i 0.601033 + 0.347006i 0.769448 0.638710i \(-0.220532\pi\)
−0.168415 + 0.985716i \(0.553865\pi\)
\(284\) 11.8997 3.18851i 0.706116 0.189203i
\(285\) −2.78212 + 13.1827i −0.164798 + 0.780878i
\(286\) −0.168896 22.8154i −0.00998704 1.34910i
\(287\) 25.5279 + 7.65766i 1.50687 + 0.452017i
\(288\) 2.33690 + 1.88120i 0.137703 + 0.110851i
\(289\) 0.223679 + 0.387423i 0.0131576 + 0.0227896i
\(290\) −0.214182 + 0.370974i −0.0125772 + 0.0217843i
\(291\) 5.30999 + 2.69589i 0.311277 + 0.158036i
\(292\) −1.09357 + 4.08124i −0.0639961 + 0.238837i
\(293\) 11.5897 + 11.5897i 0.677076 + 0.677076i 0.959338 0.282261i \(-0.0910845\pi\)
−0.282261 + 0.959338i \(0.591084\pi\)
\(294\) −6.11936 + 10.4668i −0.356888 + 0.610435i
\(295\) −21.4835 −1.25082
\(296\) −3.92516 6.79858i −0.228145 0.395159i
\(297\) 11.6501 30.7483i 0.676006 1.78420i
\(298\) −5.08663 2.93676i −0.294660 0.170122i
\(299\) 17.0483 10.0118i 0.985926 0.578998i
\(300\) 8.06003 + 7.23617i 0.465346 + 0.417780i
\(301\) 5.96561 3.21245i 0.343852 0.185163i
\(302\) 10.8925i 0.626794i
\(303\) −0.620618 + 2.94072i −0.0356536 + 0.168940i
\(304\) 2.23977 0.600144i 0.128460 0.0344206i
\(305\) −3.11757 11.6349i −0.178512 0.666214i
\(306\) −1.87442 + 12.0607i −0.107153 + 0.689464i
\(307\) −18.6550 + 18.6550i −1.06469 + 1.06469i −0.0669373 + 0.997757i \(0.521323\pi\)
−0.997757 + 0.0669373i \(0.978677\pi\)
\(308\) −3.85222 16.2932i −0.219500 0.928390i
\(309\) 14.8012 16.4863i 0.842009 0.937875i
\(310\) −5.54926 1.48692i −0.315177 0.0844513i
\(311\) −6.40089 + 11.0867i −0.362961 + 0.628667i −0.988447 0.151569i \(-0.951568\pi\)
0.625486 + 0.780236i \(0.284901\pi\)
\(312\) 2.78581 5.58921i 0.157715 0.316427i
\(313\) −8.15974 14.1331i −0.461216 0.798849i 0.537806 0.843069i \(-0.319253\pi\)
−0.999022 + 0.0442193i \(0.985920\pi\)
\(314\) −5.27345 + 5.27345i −0.297598 + 0.297598i
\(315\) 20.2375 + 17.3039i 1.14026 + 0.974964i
\(316\) 6.03668i 0.339590i
\(317\) −0.351074 0.0940699i −0.0197183 0.00528349i 0.248946 0.968517i \(-0.419916\pi\)
−0.268665 + 0.963234i \(0.586582\pi\)
\(318\) −4.79491 2.43438i −0.268885 0.136513i
\(319\) −0.209136 0.780507i −0.0117094 0.0437000i
\(320\) 0.868248 3.24035i 0.0485365 0.181141i
\(321\) −20.1821 + 22.4799i −1.12646 + 1.25471i
\(322\) 10.5579 9.95007i 0.588370 0.554496i
\(323\) 6.67080 + 6.67080i 0.371173 + 0.371173i
\(324\) 6.65329 6.06084i 0.369627 0.336713i
\(325\) 11.1292 19.6101i 0.617334 1.08777i
\(326\) −8.03428 4.63859i −0.444977 0.256908i
\(327\) 7.66401 4.99287i 0.423821 0.276106i
\(328\) −10.0734 −0.556211
\(329\) 25.2796 5.97689i 1.39371 0.329517i
\(330\) −36.7153 + 1.97752i −2.02111 + 0.108859i
\(331\) −3.54154 + 13.2172i −0.194661 + 0.726484i 0.797694 + 0.603063i \(0.206053\pi\)
−0.992354 + 0.123421i \(0.960613\pi\)
\(332\) 0.539855 0.144654i 0.0296284 0.00793891i
\(333\) −21.9622 + 8.50359i −1.20352 + 0.465994i
\(334\) −5.55521 9.62191i −0.303968 0.526487i
\(335\) −10.9625 −0.598948
\(336\) 1.07870 4.45381i 0.0588480 0.242975i
\(337\) 6.55986i 0.357338i −0.983909 0.178669i \(-0.942821\pi\)
0.983909 0.178669i \(-0.0571792\pi\)
\(338\) −12.6055 3.17838i −0.685647 0.172881i
\(339\) 0.326131 + 0.998803i 0.0177130 + 0.0542475i
\(340\) 13.1833 3.53246i 0.714966 0.191575i
\(341\) 9.38517 5.41853i 0.508235 0.293430i
\(342\) −0.747180 6.91609i −0.0404029 0.373980i
\(343\) 18.4471 + 1.64418i 0.996051 + 0.0887774i
\(344\) −1.81085 + 1.81085i −0.0976344 + 0.0976344i
\(345\) −17.3914 26.6956i −0.936321 1.43724i
\(346\) 3.85776 + 14.3973i 0.207394 + 0.774006i
\(347\) −18.0884 10.4434i −0.971038 0.560629i −0.0714856 0.997442i \(-0.522774\pi\)
−0.899553 + 0.436812i \(0.856107\pi\)
\(348\) 0.0456702 0.216403i 0.00244818 0.0116004i
\(349\) 3.21831 3.21831i 0.172272 0.172272i −0.615705 0.787977i \(-0.711129\pi\)
0.787977 + 0.615705i \(0.211129\pi\)
\(350\) 4.75397 15.8481i 0.254110 0.847114i
\(351\) −15.2853 10.8333i −0.815867 0.578239i
\(352\) 3.16401 + 5.48023i 0.168642 + 0.292097i
\(353\) 4.76936 + 17.7995i 0.253848 + 0.947372i 0.968728 + 0.248125i \(0.0798145\pi\)
−0.714880 + 0.699247i \(0.753519\pi\)
\(354\) 10.5443 3.44296i 0.560425 0.182991i
\(355\) −35.7907 + 20.6638i −1.89957 + 1.09672i
\(356\) 2.28534 2.28534i 0.121123 0.121123i
\(357\) 17.8870 5.25942i 0.946679 0.278358i
\(358\) −6.88445 + 6.88445i −0.363854 + 0.363854i
\(359\) −2.23711 + 8.34901i −0.118070 + 0.440644i −0.999498 0.0316744i \(-0.989916\pi\)
0.881428 + 0.472318i \(0.156583\pi\)
\(360\) −9.20571 4.06672i −0.485183 0.214335i
\(361\) 11.7981 + 6.81163i 0.620952 + 0.358507i
\(362\) 0.106918 0.399022i 0.00561947 0.0209721i
\(363\) 33.6067 37.4330i 1.76389 1.96472i
\(364\) −9.53704 0.212033i −0.499876 0.0111135i
\(365\) 14.1741i 0.741907i
\(366\) 3.39476 + 5.21093i 0.177447 + 0.272380i
\(367\) 12.2707 21.2535i 0.640527 1.10943i −0.344788 0.938680i \(-0.612049\pi\)
0.985315 0.170745i \(-0.0546174\pi\)
\(368\) −2.74170 + 4.74876i −0.142921 + 0.247546i
\(369\) −4.64097 + 29.8617i −0.241599 + 1.55454i
\(370\) 18.6217 + 18.6217i 0.968098 + 0.968098i
\(371\) −0.243365 + 8.21064i −0.0126349 + 0.426275i
\(372\) 2.96193 0.159532i 0.153569 0.00827135i
\(373\) 0.647930 + 1.12225i 0.0335485 + 0.0581078i 0.882312 0.470665i \(-0.155986\pi\)
−0.848764 + 0.528772i \(0.822652\pi\)
\(374\) −12.8728 + 22.2963i −0.665635 + 1.15291i
\(375\) −6.49534 3.29770i −0.335418 0.170292i
\(376\) −8.50283 + 4.90911i −0.438500 + 0.253168i
\(377\) −0.460389 + 0.00340814i −0.0237112 + 0.000175528i
\(378\) −12.7059 5.24965i −0.653523 0.270013i
\(379\) −20.8376 20.8376i −1.07035 1.07035i −0.997330 0.0730241i \(-0.976735\pi\)
−0.0730241 0.997330i \(-0.523265\pi\)
\(380\) −6.73655 + 3.88935i −0.345578 + 0.199519i
\(381\) 11.0271 + 33.7714i 0.564937 + 1.73016i
\(382\) −23.4872 + 6.29337i −1.20171 + 0.321997i
\(383\) 8.85758 + 2.37338i 0.452601 + 0.121274i 0.477916 0.878405i \(-0.341392\pi\)
−0.0253151 + 0.999680i \(0.508059\pi\)
\(384\) 0.0931546 + 1.72954i 0.00475378 + 0.0882604i
\(385\) 26.6290 + 49.4508i 1.35714 + 2.52025i
\(386\) 0.871878i 0.0443774i
\(387\) 4.53382 + 6.20238i 0.230467 + 0.315285i
\(388\) 0.889874 + 3.32105i 0.0451765 + 0.168601i
\(389\) 17.7461 30.7371i 0.899761 1.55843i 0.0719626 0.997407i \(-0.477074\pi\)
0.827799 0.561025i \(-0.189593\pi\)
\(390\) −4.17415 + 20.5298i −0.211367 + 1.03956i
\(391\) −22.3092 −1.12822
\(392\) −6.85692 + 1.40808i −0.346327 + 0.0711189i
\(393\) 4.46073 4.96860i 0.225014 0.250633i
\(394\) 4.10326 2.36902i 0.206719 0.119349i
\(395\) −5.24134 19.5609i −0.263720 0.984217i
\(396\) 17.7034 6.85461i 0.889627 0.344457i
\(397\) 32.5233 + 8.71460i 1.63230 + 0.437373i 0.954582 0.297949i \(-0.0963026\pi\)
0.677718 + 0.735322i \(0.262969\pi\)
\(398\) −16.1151 16.1151i −0.807778 0.807778i
\(399\) −9.07124 + 5.53391i −0.454130 + 0.277042i
\(400\) 6.25370i 0.312685i
\(401\) 3.88669 14.5053i 0.194092 0.724362i −0.798408 0.602117i \(-0.794324\pi\)
0.992500 0.122245i \(-0.0390093\pi\)
\(402\) 5.38054 1.75687i 0.268357 0.0876245i
\(403\) −1.64223 5.95230i −0.0818055 0.296505i
\(404\) −1.50275 + 0.867612i −0.0747645 + 0.0431653i
\(405\) −16.2966 + 25.4159i −0.809787 + 1.26293i
\(406\) −0.328778 + 0.0777334i −0.0163170 + 0.00385784i
\(407\) −49.6770 −2.46240
\(408\) −5.90441 + 3.84654i −0.292312 + 0.190432i
\(409\) −27.2465 + 7.30067i −1.34725 + 0.360995i −0.859119 0.511775i \(-0.828988\pi\)
−0.488131 + 0.872770i \(0.662321\pi\)
\(410\) 32.6413 8.74622i 1.61204 0.431945i
\(411\) 3.55922 2.31872i 0.175563 0.114374i
\(412\) 12.7916 0.630196
\(413\) −11.6207 12.3307i −0.571819 0.606752i
\(414\) 12.8141 + 10.3154i 0.629781 + 0.506972i
\(415\) −1.62372 + 0.937456i −0.0797054 + 0.0460179i
\(416\) 3.47569 0.958941i 0.170410 0.0470159i
\(417\) 28.4646 9.29432i 1.39392 0.455145i
\(418\) 3.79773 14.1733i 0.185753 0.693239i
\(419\) 22.9443i 1.12090i −0.828187 0.560451i \(-0.810628\pi\)
0.828187 0.560451i \(-0.189372\pi\)
\(420\) 0.371641 + 15.3685i 0.0181342 + 0.749904i
\(421\) −17.8994 17.8994i −0.872363 0.872363i 0.120367 0.992729i \(-0.461593\pi\)
−0.992729 + 0.120367i \(0.961593\pi\)
\(422\) 13.2518 + 3.55080i 0.645085 + 0.172850i
\(423\) 10.6353 + 27.4676i 0.517104 + 1.33552i
\(424\) −0.803554 2.99890i −0.0390240 0.145640i
\(425\) −22.0344 + 12.7216i −1.06883 + 0.617087i
\(426\) 14.2549 15.8778i 0.690651 0.769284i
\(427\) 4.99164 8.08286i 0.241562 0.391157i
\(428\) −17.4419 −0.843088
\(429\) −21.8158 32.9512i −1.05328 1.59090i
\(430\) 4.29551 7.44004i 0.207148 0.358791i
\(431\) 2.78931 + 10.4099i 0.134356 + 0.501425i 1.00000 0.000763751i \(0.000243109\pi\)
−0.865643 + 0.500661i \(0.833090\pi\)
\(432\) 5.17000 + 0.520678i 0.248742 + 0.0250511i
\(433\) 30.1662i 1.44970i −0.688909 0.724848i \(-0.741910\pi\)
0.688909 0.724848i \(-0.258090\pi\)
\(434\) −2.14824 3.98934i −0.103119 0.191495i
\(435\) 0.0399040 + 0.740874i 0.00191325 + 0.0355222i
\(436\) 5.10102 + 1.36681i 0.244294 + 0.0654585i
\(437\) 12.2815 3.29083i 0.587506 0.157422i
\(438\) 2.27156 + 6.95682i 0.108539 + 0.332410i
\(439\) 25.2577 14.5825i 1.20548 0.695986i 0.243714 0.969847i \(-0.421634\pi\)
0.961769 + 0.273861i \(0.0883007\pi\)
\(440\) −15.0107 15.0107i −0.715606 0.715606i
\(441\) 1.01505 + 20.9755i 0.0483358 + 0.998831i
\(442\) 10.4492 + 10.2956i 0.497016 + 0.489712i
\(443\) 12.2531 7.07436i 0.582165 0.336113i −0.179828 0.983698i \(-0.557554\pi\)
0.761993 + 0.647585i \(0.224221\pi\)
\(444\) −12.1241 6.15542i −0.575384 0.292123i
\(445\) −5.42106 + 9.38955i −0.256983 + 0.445107i
\(446\) −2.88200 4.99176i −0.136466 0.236367i
\(447\) −10.1585 + 0.547147i −0.480482 + 0.0258791i
\(448\) 2.32948 1.25441i 0.110057 0.0592653i
\(449\) −16.7895 16.7895i −0.792348 0.792348i 0.189528 0.981875i \(-0.439304\pi\)
−0.981875 + 0.189528i \(0.939304\pi\)
\(450\) 18.5385 + 2.88117i 0.873915 + 0.135820i
\(451\) −31.8724 + 55.2046i −1.50081 + 2.59948i
\(452\) −0.303311 + 0.525349i −0.0142665 + 0.0247104i
\(453\) −10.2983 15.8078i −0.483856 0.742715i
\(454\) 17.0521i 0.800295i
\(455\) 31.0874 7.59345i 1.45740 0.355987i
\(456\) 2.68306 2.98854i 0.125646 0.139951i
\(457\) −9.97842 + 37.2400i −0.466771 + 1.74201i 0.184179 + 0.982893i \(0.441037\pi\)
−0.650950 + 0.759120i \(0.725629\pi\)
\(458\) 8.60563 + 4.96846i 0.402115 + 0.232161i
\(459\) 8.68249 + 19.2753i 0.405264 + 0.899692i
\(460\) 4.76095 17.7681i 0.221980 0.828442i
\(461\) 2.27891 2.27891i 0.106140 0.106140i −0.652043 0.758182i \(-0.726088\pi\)
0.758182 + 0.652043i \(0.226088\pi\)
\(462\) −20.9949 20.0034i −0.976769 0.930644i
\(463\) 10.4036 10.4036i 0.483497 0.483497i −0.422749 0.906247i \(-0.638935\pi\)
0.906247 + 0.422749i \(0.138935\pi\)
\(464\) 0.110585 0.0638462i 0.00513377 0.00296398i
\(465\) −9.45917 + 3.08863i −0.438659 + 0.143232i
\(466\) 4.75860 + 17.7593i 0.220438 + 0.822685i
\(467\) 0.964739 + 1.67098i 0.0446428 + 0.0773236i 0.887483 0.460840i \(-0.152452\pi\)
−0.842841 + 0.538163i \(0.819118\pi\)
\(468\) −1.24139 10.7452i −0.0573834 0.496696i
\(469\) −5.92980 6.29206i −0.273813 0.290540i
\(470\) 23.2898 23.2898i 1.07428 1.07428i
\(471\) −2.66734 + 12.6389i −0.122905 + 0.582369i
\(472\) 5.54610 + 3.20204i 0.255280 + 0.147386i
\(473\) 4.19432 + 15.6534i 0.192855 + 0.719744i
\(474\) 5.70736 + 8.76074i 0.262148 + 0.402394i
\(475\) 10.2537 10.2537i 0.470473 0.470473i
\(476\) 9.15854 + 5.65594i 0.419781 + 0.259239i
\(477\) −9.26020 + 1.00043i −0.423995 + 0.0458063i
\(478\) −3.77043 + 2.17686i −0.172455 + 0.0995672i
\(479\) −4.55727 + 1.22112i −0.208227 + 0.0557942i −0.361425 0.932401i \(-0.617710\pi\)
0.153198 + 0.988196i \(0.451043\pi\)
\(480\) −1.80353 5.52344i −0.0823193 0.252109i
\(481\) −7.12322 + 27.3938i −0.324791 + 1.24905i
\(482\) 17.8381i 0.812505i
\(483\) 5.91496 24.4220i 0.269140 1.11124i
\(484\) 29.0439 1.32018
\(485\) −5.76700 9.98873i −0.261866 0.453565i
\(486\) 3.92540 15.0861i 0.178060 0.684321i
\(487\) −16.5087 + 4.42349i −0.748081 + 0.200448i −0.612667 0.790342i \(-0.709903\pi\)
−0.135414 + 0.990789i \(0.543236\pi\)
\(488\) −0.929327 + 3.46830i −0.0420687 + 0.157002i
\(489\) −16.0453 + 0.864212i −0.725593 + 0.0390810i
\(490\) 20.9962 10.5162i 0.948512 0.475072i
\(491\) 24.8371 1.12088 0.560442 0.828194i \(-0.310631\pi\)
0.560442 + 0.828194i \(0.310631\pi\)
\(492\) −14.6191 + 9.52387i −0.659078 + 0.429369i
\(493\) 0.449914 + 0.259758i 0.0202631 + 0.0116989i
\(494\) −7.27113 4.12653i −0.327144 0.185661i
\(495\) −51.4135 + 37.5822i −2.31087 + 1.68920i
\(496\) 1.21096 + 1.21096i 0.0543735 + 0.0543735i
\(497\) −31.2199 9.36507i −1.40040 0.420081i
\(498\) 0.646703 0.720333i 0.0289795 0.0322789i
\(499\) 7.15652 26.7085i 0.320370 1.19564i −0.598516 0.801111i \(-0.704243\pi\)
0.918885 0.394525i \(-0.129091\pi\)
\(500\) −1.08852 4.06241i −0.0486801 0.181677i
\(501\) −17.1590 8.71166i −0.766608 0.389208i
\(502\) −24.5016 6.56519i −1.09356 0.293019i
\(503\) 27.6359i 1.23222i 0.787658 + 0.616112i \(0.211293\pi\)
−0.787658 + 0.616112i \(0.788707\pi\)
\(504\) −2.64537 7.48345i −0.117834 0.333339i
\(505\) 4.11612 4.11612i 0.183165 0.183165i
\(506\) 17.3495 + 30.0503i 0.771281 + 1.33590i
\(507\) −21.2987 + 7.30517i −0.945908 + 0.324434i
\(508\) −10.2555 + 17.7631i −0.455015 + 0.788109i
\(509\) −3.42423 0.917520i −0.151776 0.0406684i 0.182131 0.983274i \(-0.441701\pi\)
−0.333907 + 0.942606i \(0.608367\pi\)
\(510\) 15.7926 17.5906i 0.699307 0.778926i
\(511\) 8.13537 7.66699i 0.359888 0.339167i
\(512\) −0.707107 + 0.707107i −0.0312500 + 0.0312500i
\(513\) −7.62314 9.33057i −0.336570 0.411955i
\(514\) −5.85115 21.8368i −0.258083 0.963179i
\(515\) −41.4492 + 11.1063i −1.82647 + 0.489401i
\(516\) −0.915937 + 4.34006i −0.0403219 + 0.191060i
\(517\) 62.1299i 2.73247i
\(518\) −0.615356 + 20.7609i −0.0270372 + 0.912181i
\(519\) 19.2105 + 17.2469i 0.843247 + 0.757054i
\(520\) −10.4298 + 6.12506i −0.457379 + 0.268602i
\(521\) −4.31187 2.48946i −0.188906 0.109065i 0.402564 0.915392i \(-0.368119\pi\)
−0.591471 + 0.806327i \(0.701452\pi\)
\(522\) −0.138318 0.357234i −0.00605403 0.0156357i
\(523\) −0.204767 0.354667i −0.00895385 0.0155085i 0.861514 0.507734i \(-0.169517\pi\)
−0.870468 + 0.492226i \(0.836183\pi\)
\(524\) 3.85509 0.168410
\(525\) −8.08428 27.4941i −0.352827 1.19994i
\(526\) −13.3084 13.3084i −0.580272 0.580272i
\(527\) −1.80332 + 6.73009i −0.0785540 + 0.293167i
\(528\) 9.77304 + 4.96179i 0.425317 + 0.215934i
\(529\) −3.53383 + 6.12077i −0.153645 + 0.266121i
\(530\) 5.20758 + 9.01980i 0.226203 + 0.391795i
\(531\) 12.0474 14.9657i 0.522810 0.649456i
\(532\) −5.87623 1.76270i −0.254767 0.0764228i
\(533\) 25.8717 + 25.4914i 1.12063 + 1.10416i
\(534\) 1.15594 5.47728i 0.0500224 0.237025i
\(535\) 56.5179 15.1439i 2.44348 0.654730i
\(536\) 2.83005 + 1.63393i 0.122240 + 0.0705751i
\(537\) −3.48219 + 16.4999i −0.150268 + 0.712025i
\(538\) 3.67262 + 3.67262i 0.158338 + 0.158338i
\(539\) −13.9787 + 42.0326i −0.602107 + 1.81047i
\(540\) −17.2047 + 2.80167i −0.740371 + 0.120565i
\(541\) −29.7273 7.96540i −1.27807 0.342459i −0.444956 0.895553i \(-0.646781\pi\)
−0.833119 + 0.553094i \(0.813447\pi\)
\(542\) −3.76740 2.17511i −0.161824 0.0934290i
\(543\) −0.222090 0.680166i −0.00953077 0.0291887i
\(544\) −3.92986 1.05300i −0.168492 0.0451472i
\(545\) −17.7158 −0.758862
\(546\) −14.0411 + 8.70904i −0.600904 + 0.372713i
\(547\) 11.8216 0.505453 0.252727 0.967538i \(-0.418673\pi\)
0.252727 + 0.967538i \(0.418673\pi\)
\(548\) 2.36895 + 0.634758i 0.101197 + 0.0271155i
\(549\) 9.85330 + 4.35280i 0.420529 + 0.185773i
\(550\) 34.2717 + 19.7868i 1.46135 + 0.843711i
\(551\) −0.286001 0.0766338i −0.0121841 0.00326471i
\(552\) 0.510804 + 9.48378i 0.0217413 + 0.403656i
\(553\) 8.39207 13.5891i 0.356867 0.577867i
\(554\) −5.01150 5.01150i −0.212918 0.212918i
\(555\) 44.6307 + 9.41897i 1.89447 + 0.399813i
\(556\) 14.9718 + 8.64396i 0.634945 + 0.366586i
\(557\) −10.5106 + 2.81630i −0.445347 + 0.119330i −0.474521 0.880244i \(-0.657379\pi\)
0.0291745 + 0.999574i \(0.490712\pi\)
\(558\) 4.14768 3.03187i 0.175585 0.128349i
\(559\) 9.23330 0.0683516i 0.390527 0.00289097i
\(560\) −6.45917 + 6.08729i −0.272950 + 0.257235i
\(561\) 2.39831 + 44.5280i 0.101257 + 1.87997i
\(562\) −5.28294 9.15032i −0.222847 0.385983i
\(563\) 10.7017 18.5359i 0.451024 0.781196i −0.547426 0.836854i \(-0.684392\pi\)
0.998450 + 0.0556577i \(0.0177256\pi\)
\(564\) −7.69845 + 15.1633i −0.324163 + 0.638491i
\(565\) 0.526698 1.96566i 0.0221583 0.0826961i
\(566\) 8.25554 + 8.25554i 0.347006 + 0.347006i
\(567\) −23.4028 + 4.39422i −0.982825 + 0.184540i
\(568\) 12.3195 0.516913
\(569\) 6.50476 + 11.2666i 0.272694 + 0.472319i 0.969551 0.244891i \(-0.0787521\pi\)
−0.696857 + 0.717210i \(0.745419\pi\)
\(570\) −6.09926 + 12.0135i −0.255470 + 0.503189i
\(571\) −30.0569 17.3534i −1.25784 0.726216i −0.285188 0.958472i \(-0.592056\pi\)
−0.972655 + 0.232256i \(0.925389\pi\)
\(572\) 5.74191 22.0817i 0.240081 0.923281i
\(573\) −28.1357 + 31.3391i −1.17539 + 1.30921i
\(574\) 22.6761 + 14.0038i 0.946484 + 0.584509i
\(575\) 34.2915i 1.43006i
\(576\) 1.77038 + 2.42193i 0.0737659 + 0.100914i
\(577\) −39.1973 + 10.5029i −1.63180 + 0.437240i −0.954439 0.298407i \(-0.903545\pi\)
−0.677364 + 0.735648i \(0.736878\pi\)
\(578\) 0.115785 + 0.432114i 0.00481600 + 0.0179736i
\(579\) 0.824314 + 1.26531i 0.0342573 + 0.0525847i
\(580\) −0.302899 + 0.302899i −0.0125772 + 0.0125772i
\(581\) −1.41636 0.424867i −0.0587604 0.0176265i
\(582\) 4.43131 + 3.97836i 0.183684 + 0.164908i
\(583\) −18.9771 5.08491i −0.785952 0.210595i
\(584\) −2.11261 + 3.65914i −0.0874203 + 0.151416i
\(585\) 13.3520 + 33.7403i 0.552038 + 1.39499i
\(586\) 8.19514 + 14.1944i 0.338538 + 0.586365i
\(587\) −11.6106 + 11.6106i −0.479223 + 0.479223i −0.904883 0.425660i \(-0.860042\pi\)
0.425660 + 0.904883i \(0.360042\pi\)
\(588\) −8.61985 + 8.52633i −0.355476 + 0.351620i
\(589\) 3.97103i 0.163623i
\(590\) −20.7515 5.56034i −0.854324 0.228915i
\(591\) 3.71509 7.31746i 0.152818 0.301000i
\(592\) −2.03181 7.58283i −0.0835070 0.311652i
\(593\) −9.64729 + 36.0042i −0.396167 + 1.47851i 0.423617 + 0.905841i \(0.360760\pi\)
−0.819784 + 0.572673i \(0.805906\pi\)
\(594\) 19.2114 26.6853i 0.788252 1.09491i
\(595\) −34.5876 10.3753i −1.41795 0.425346i
\(596\) −4.15321 4.15321i −0.170122 0.170122i
\(597\) −38.6231 8.15111i −1.58074 0.333603i
\(598\) 19.0586 5.25825i 0.779364 0.215026i
\(599\) 36.8375 + 21.2681i 1.50514 + 0.868993i 0.999982 + 0.00596522i \(0.00189880\pi\)
0.505157 + 0.863027i \(0.331435\pi\)
\(600\) 5.91254 + 9.07569i 0.241378 + 0.370513i
\(601\) −16.3118 −0.665372 −0.332686 0.943038i \(-0.607955\pi\)
−0.332686 + 0.943038i \(0.607955\pi\)
\(602\) 6.59378 1.55898i 0.268743 0.0635391i
\(603\) 6.14749 7.63666i 0.250345 0.310989i
\(604\) 2.81919 10.5214i 0.114711 0.428108i
\(605\) −94.1122 + 25.2173i −3.82620 + 1.02523i
\(606\) −1.36059 + 2.67989i −0.0552700 + 0.108863i
\(607\) −1.43203 2.48035i −0.0581243 0.100674i 0.835499 0.549492i \(-0.185179\pi\)
−0.893623 + 0.448818i \(0.851845\pi\)
\(608\) 2.31878 0.0940389
\(609\) −0.403647 + 0.423652i −0.0163566 + 0.0171673i
\(610\) 12.0454i 0.487703i
\(611\) 34.2608 + 8.90885i 1.38604 + 0.360413i
\(612\) −4.93208 + 11.1646i −0.199368 + 0.451302i
\(613\) −19.0273 + 5.09834i −0.768504 + 0.205920i −0.621711 0.783247i \(-0.713562\pi\)
−0.146794 + 0.989167i \(0.546895\pi\)
\(614\) −22.8476 + 13.1910i −0.922052 + 0.532347i
\(615\) 39.1017 43.5536i 1.57673 1.75625i
\(616\) 0.496029 16.7350i 0.0199856 0.674273i
\(617\) −24.8368 + 24.8368i −0.999893 + 0.999893i −1.00000 0.000106988i \(-0.999966\pi\)
0.000106988 1.00000i \(0.499966\pi\)
\(618\) 18.5638 12.0938i 0.746746 0.486482i
\(619\) 10.4779 + 39.1040i 0.421142 + 1.57172i 0.772206 + 0.635373i \(0.219153\pi\)
−0.351063 + 0.936352i \(0.614180\pi\)
\(620\) −4.97533 2.87251i −0.199814 0.115363i
\(621\) 28.3492 + 2.85508i 1.13761 + 0.114571i
\(622\) −9.05222 + 9.05222i −0.362961 + 0.362961i
\(623\) −8.32155 + 1.96747i −0.333396 + 0.0788252i
\(624\) 4.13748 4.67774i 0.165632 0.187260i
\(625\) −8.57988 14.8608i −0.343195 0.594431i
\(626\) −4.22379 15.7634i −0.168817 0.630033i
\(627\) −7.88864 24.1596i −0.315042 0.964841i
\(628\) −6.45864 + 3.72889i −0.257728 + 0.148799i
\(629\) 22.5843 22.5843i 0.900494 0.900494i
\(630\) 15.0694 + 21.9521i 0.600379 + 0.874594i
\(631\) −12.0035 + 12.0035i −0.477850 + 0.477850i −0.904444 0.426593i \(-0.859714\pi\)
0.426593 + 0.904444i \(0.359714\pi\)
\(632\) −1.56241 + 5.83099i −0.0621492 + 0.231944i
\(633\) 22.5887 7.37572i 0.897821 0.293159i
\(634\) −0.314764 0.181729i −0.0125009 0.00721738i
\(635\) 17.8087 66.4628i 0.706715 2.63750i
\(636\) −4.00146 3.59245i −0.158668 0.142450i
\(637\) 21.1740 + 13.7355i 0.838943 + 0.544220i
\(638\) 0.808040i 0.0319906i
\(639\) 5.67576 36.5200i 0.224530 1.44471i
\(640\) 1.67733 2.90521i 0.0663022 0.114839i
\(641\) 12.8018 22.1734i 0.505641 0.875795i −0.494338 0.869270i \(-0.664589\pi\)
0.999979 0.00652568i \(-0.00207720\pi\)
\(642\) −25.3127 + 16.4904i −0.999011 + 0.650825i
\(643\) 0.384715 + 0.384715i 0.0151717 + 0.0151717i 0.714652 0.699480i \(-0.246585\pi\)
−0.699480 + 0.714652i \(0.746585\pi\)
\(644\) 12.7734 6.87843i 0.503344 0.271048i
\(645\) −0.800293 14.8585i −0.0315115 0.585055i
\(646\) 4.71697 + 8.17003i 0.185587 + 0.321446i
\(647\) −0.186170 + 0.322457i −0.00731911 + 0.0126771i −0.869662 0.493648i \(-0.835663\pi\)
0.862343 + 0.506325i \(0.168996\pi\)
\(648\) 7.99524 4.13232i 0.314083 0.162333i
\(649\) 35.0959 20.2626i 1.37763 0.795377i
\(650\) 15.8254 16.0615i 0.620723 0.629982i
\(651\) −6.88935 3.75850i −0.270015 0.147307i
\(652\) −6.55996 6.55996i −0.256908 0.256908i
\(653\) 6.47137 3.73625i 0.253244 0.146211i −0.368005 0.929824i \(-0.619959\pi\)
0.621249 + 0.783613i \(0.286626\pi\)
\(654\) 8.69511 2.83915i 0.340006 0.111019i
\(655\) −12.4918 + 3.34717i −0.488096 + 0.130785i
\(656\) −9.73017 2.60719i −0.379899 0.101794i
\(657\) 9.87389 + 7.94846i 0.385217 + 0.310099i
\(658\) 25.9652 + 0.769612i 1.01223 + 0.0300026i
\(659\) 32.4190i 1.26286i −0.775431 0.631432i \(-0.782468\pi\)
0.775431 0.631432i \(-0.217532\pi\)
\(660\) −35.9761 7.59249i −1.40037 0.295537i
\(661\) 5.61492 + 20.9552i 0.218395 + 0.815061i 0.984944 + 0.172875i \(0.0553057\pi\)
−0.766549 + 0.642186i \(0.778028\pi\)
\(662\) −6.84173 + 11.8502i −0.265911 + 0.460572i
\(663\) 24.8983 + 5.06238i 0.966970 + 0.196606i
\(664\) 0.558899 0.0216895
\(665\) 20.5715 + 0.609742i 0.797727 + 0.0236448i
\(666\) −23.4147 + 2.52961i −0.907302 + 0.0980204i
\(667\) 0.606381 0.350094i 0.0234792 0.0135557i
\(668\) −2.87559 10.7318i −0.111260 0.415228i
\(669\) −8.90194 4.51953i −0.344169 0.174735i
\(670\) −10.5890 2.83732i −0.409089 0.109615i
\(671\) 16.0666 + 16.0666i 0.620246 + 0.620246i
\(672\) 2.19468 4.02286i 0.0846615 0.155185i
\(673\) 22.3366i 0.861014i −0.902587 0.430507i \(-0.858335\pi\)
0.902587 0.430507i \(-0.141665\pi\)
\(674\) 1.69782 6.33634i 0.0653975 0.244067i
\(675\) 29.6281 13.3459i 1.14039 0.513683i
\(676\) −11.3533 6.33261i −0.436666 0.243562i
\(677\) 21.2839 12.2883i 0.818006 0.472276i −0.0317225 0.999497i \(-0.510099\pi\)
0.849728 + 0.527221i \(0.176766\pi\)
\(678\) 0.0565096 + 1.04918i 0.00217024 + 0.0402934i
\(679\) 2.61368 8.71307i 0.100304 0.334377i
\(680\) 13.6484 0.523392
\(681\) −16.1218 24.7469i −0.617790 0.948303i
\(682\) 10.4678 2.80484i 0.400833 0.107403i
\(683\) 30.6088 8.20161i 1.17121 0.313826i 0.379778 0.925078i \(-0.376000\pi\)
0.791436 + 0.611252i \(0.209334\pi\)
\(684\) 1.06830 6.87382i 0.0408473 0.262827i
\(685\) −8.22735 −0.314351
\(686\) 17.3930 + 6.36263i 0.664068 + 0.242926i
\(687\) 17.1864 0.925671i 0.655700 0.0353165i
\(688\) −2.21783 + 1.28046i −0.0845539 + 0.0488172i
\(689\) −5.52515 + 9.73557i −0.210491 + 0.370896i
\(690\) −9.88945 30.2872i −0.376485 1.15301i
\(691\) −2.97064 + 11.0866i −0.113008 + 0.421753i −0.999130 0.0416992i \(-0.986723\pi\)
0.886122 + 0.463453i \(0.153390\pi\)
\(692\) 14.9052i 0.566612i
\(693\) −49.3810 9.18051i −1.87583 0.348739i
\(694\) −14.7691 14.7691i −0.560629 0.560629i
\(695\) −56.0189 15.0102i −2.12492 0.569370i
\(696\) 0.100123 0.197209i 0.00379516 0.00747518i
\(697\) −10.6073 39.5871i −0.401782 1.49947i
\(698\) 3.94161 2.27569i 0.149192 0.0861360i
\(699\) 23.6964 + 21.2743i 0.896281 + 0.804667i
\(700\) 8.69376 14.0776i 0.328593 0.532084i
\(701\) −10.1192 −0.382196 −0.191098 0.981571i \(-0.561205\pi\)
−0.191098 + 0.981571i \(0.561205\pi\)
\(702\) −11.9606 14.4203i −0.451422 0.544259i
\(703\) −9.10158 + 15.7644i −0.343273 + 0.594566i
\(704\) 1.63781 + 6.11240i 0.0617274 + 0.230370i
\(705\) 11.7801 55.8186i 0.443664 2.10225i
\(706\) 18.4274i 0.693525i
\(707\) 4.58896 + 0.136017i 0.172585 + 0.00511546i
\(708\) 11.0762 0.596570i 0.416267 0.0224205i
\(709\) 28.3531 + 7.59719i 1.06482 + 0.285318i 0.748364 0.663288i \(-0.230840\pi\)
0.316459 + 0.948606i \(0.397506\pi\)
\(710\) −39.9193 + 10.6963i −1.49815 + 0.401427i
\(711\) 16.5656 + 7.31804i 0.621259 + 0.274448i
\(712\) 2.79896 1.61598i 0.104896 0.0605615i
\(713\) 6.64016 + 6.64016i 0.248676 + 0.248676i
\(714\) 18.6387 0.450723i 0.697537 0.0168679i
\(715\) 0.566588 + 76.5377i 0.0211892 + 2.86235i
\(716\) −8.43169 + 4.86804i −0.315107 + 0.181927i
\(717\) −3.41374 + 6.72391i −0.127488 + 0.251109i
\(718\) −4.32177 + 7.48552i −0.161287 + 0.279357i
\(719\) −20.6861 35.8293i −0.771460 1.33621i −0.936763 0.349966i \(-0.886193\pi\)
0.165302 0.986243i \(-0.447140\pi\)
\(720\) −7.83949 6.31076i −0.292160 0.235188i
\(721\) −28.7950 17.7826i −1.07238 0.662259i
\(722\) 9.63310 + 9.63310i 0.358507 + 0.358507i
\(723\) −16.8650 25.8876i −0.627216 0.962771i
\(724\) 0.206549 0.357753i 0.00767633 0.0132958i
\(725\) 0.399275 0.691564i 0.0148287 0.0256840i
\(726\) 42.1499 27.4594i 1.56433 1.01911i
\(727\) 3.12755i 0.115995i 0.998317 + 0.0579973i \(0.0184715\pi\)
−0.998317 + 0.0579973i \(0.981529\pi\)
\(728\) −9.15719 2.67317i −0.339388 0.0990744i
\(729\) −8.56638 25.6050i −0.317273 0.948334i
\(730\) 3.66853 13.6911i 0.135778 0.506732i
\(731\) −9.02321 5.20956i −0.333736 0.192682i
\(732\) 1.93040 + 5.91200i 0.0713496 + 0.218514i
\(733\) 2.38043 8.88387i 0.0879230 0.328133i −0.907929 0.419125i \(-0.862337\pi\)
0.995852 + 0.0909916i \(0.0290036\pi\)
\(734\) 17.3534 17.3534i 0.640527 0.640527i
\(735\) 20.5283 35.1124i 0.757198 1.29514i
\(736\) −3.87735 + 3.87735i −0.142921 + 0.142921i
\(737\) 17.9086 10.3396i 0.659673 0.380862i
\(738\) −12.2116 + 27.6431i −0.449516 + 1.01756i
\(739\) 9.16774 + 34.2145i 0.337241 + 1.25860i 0.901420 + 0.432947i \(0.142526\pi\)
−0.564179 + 0.825653i \(0.690807\pi\)
\(740\) 13.1676 + 22.8069i 0.484049 + 0.838397i
\(741\) −14.4537 + 0.885835i −0.530968 + 0.0325420i
\(742\) −2.36014 + 7.86788i −0.0866435 + 0.288839i
\(743\) −1.93223 + 1.93223i −0.0708866 + 0.0708866i −0.741661 0.670775i \(-0.765962\pi\)
0.670775 + 0.741661i \(0.265962\pi\)
\(744\) 2.90230 + 0.612508i 0.106403 + 0.0224556i
\(745\) 17.0639 + 9.85183i 0.625172 + 0.360943i
\(746\) 0.335393 + 1.25170i 0.0122796 + 0.0458282i
\(747\) 0.257493 1.65681i 0.00942118 0.0606194i
\(748\) −18.2048 + 18.2048i −0.665635 + 0.665635i
\(749\) 39.2634 + 24.2474i 1.43465 + 0.885982i
\(750\) −5.42051 4.86645i −0.197929 0.177698i
\(751\) −44.5053 + 25.6951i −1.62402 + 0.937628i −0.638190 + 0.769879i \(0.720317\pi\)
−0.985830 + 0.167750i \(0.946350\pi\)
\(752\) −9.48367 + 2.54114i −0.345834 + 0.0926659i
\(753\) −41.7651 + 13.6372i −1.52200 + 0.496968i
\(754\) −0.445583 0.115865i −0.0162272 0.00421957i
\(755\) 36.5406i 1.32985i
\(756\) −10.9143 8.35932i −0.396949 0.304025i
\(757\) 10.1111 0.367493 0.183746 0.982974i \(-0.441178\pi\)
0.183746 + 0.982974i \(0.441178\pi\)
\(758\) −14.7344 25.5207i −0.535177 0.926954i
\(759\) 53.5895 + 27.2075i 1.94517 + 0.987568i
\(760\) −7.51365 + 2.01328i −0.272549 + 0.0730292i
\(761\) −8.27536 + 30.8841i −0.299981 + 1.11955i 0.637198 + 0.770700i \(0.280093\pi\)
−0.937180 + 0.348846i \(0.886573\pi\)
\(762\) 1.91070 + 35.4747i 0.0692173 + 1.28511i
\(763\) −9.58273 10.1682i −0.346918 0.368112i
\(764\) −24.3157 −0.879711
\(765\) 6.28801 40.4594i 0.227344 1.46281i
\(766\) 7.94149 + 4.58502i 0.286938 + 0.165664i
\(767\) −6.14114 22.2586i −0.221744 0.803713i
\(768\) −0.357658 + 1.69472i −0.0129059 + 0.0611530i
\(769\) −15.3274 15.3274i −0.552718 0.552718i 0.374506 0.927224i \(-0.377812\pi\)
−0.927224 + 0.374506i \(0.877812\pi\)
\(770\) 12.9228 + 54.6579i 0.465707 + 1.96974i
\(771\) −29.1370 26.1587i −1.04934 0.942083i
\(772\) −0.225659 + 0.842169i −0.00812163 + 0.0303103i
\(773\) 5.09546 + 19.0165i 0.183271 + 0.683977i 0.994994 + 0.0999342i \(0.0318632\pi\)
−0.811723 + 0.584043i \(0.801470\pi\)
\(774\) 2.77403 + 7.16448i